From f8e05edb088c3b5246e016f68df9c4cadccfd34d Mon Sep 17 00:00:00 2001 From: Norbert Preining Date: Sun, 15 May 2022 03:00:49 +0000 Subject: CTAN sync 202205150300 --- FILES.byname | 644 +- FILES.byname.gz | Bin 2431740 -> 2431956 bytes FILES.last07days | 570 +- graphics/pstricks/contrib/pst-ode/ChangeLog | 4 + graphics/pstricks/contrib/pst-ode/README.md | 2 +- graphics/pstricks/contrib/pst-ode/pst-ode-doc.pdf | Bin 134155 -> 132631 bytes graphics/pstricks/contrib/pst-ode/pst-ode-doc.tex | 4 +- graphics/pstricks/contrib/pst-ode/pst-ode.pro | 7 +- graphics/pstricks/contrib/pst-ode/pst-ode.tex | 9 +- macros/generic/polexpr/README.md | 151 +- macros/generic/polexpr/polexpr-changes.html | 629 + macros/generic/polexpr/polexpr-changes.rst.txt | 513 + macros/generic/polexpr/polexpr-examples.pdf | Bin 58706 -> 57444 bytes macros/generic/polexpr/polexpr-examples.tex | 86 +- macros/generic/polexpr/polexpr-ref.html | 2898 +++++ macros/generic/polexpr/polexpr-ref.rst.txt | 3184 +++++ 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support/arara/scripts/rules/arara-rule-dvipdfm.yaml 2022/05/12 | 797 | support/arara/scripts/rules/arara-rule-dvips.yaml 2022/05/12 | 788 | support/arara/scripts/rules/arara-rule-copy.yaml -2022/05/12 | 7245 | systems/texlive/tlnet/tlpkg/installer/ctan-mirrors.pl 2022/05/12 | 7101 | support/arara/doc/htmlmanualtopdf.sh 2022/05/12 | 680 | support/arara/scripts/rules/arara-rule-sketch.yaml 2022/05/12 | 650 | support/arara/scripts/rules/arara-rule-spix.yaml @@ -510,7 +621,6 @@ 2022/05/11 | 1073 | macros/latex/contrib/tagpdf/ex-softhyphen.tex 2022/05/11 | 10258 | macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-firstaid.dtx 2022/05/11 | 1019 | macros/latex/contrib/tagpdf/ex-formula-problem.tex -2022/05/10 | 939296 | systems/texlive/tlnet/archive/tex4ht.r63272.tar.xz 2022/05/10 | 877963 | macros/latex/contrib/fancyhdr.zip 2022/05/10 | 87650 | macros/latex/contrib/chinesechess/chinesechess.sty 2022/05/10 | 851692 | macros/latex/contrib/fancyhdr/fancyhdr.pdf @@ -535,8 +645,6 @@ 2022/05/10 | 1663348 | systems/texlive/tlnet/archive/circuitikz.doc.r63269.tar.xz 2022/05/10 | 165340 | systems/texlive/tlnet/archive/circuitikz.r63269.tar.xz 2022/05/10 | 15156 | systems/texlive/tlnet/archive/beamertheme-trigon.source.r63270.tar.xz -2022/05/10 | 136384 | systems/texlive/tlnet/archive/tex4ht.doc.r63272.tar.xz -2022/05/10 | 1262040 | systems/texlive/tlnet/archive/tex4ht.source.r63272.tar.xz 2022/05/10 | 11 | help/LaTeX-FAQ-francaise/VERSION 2022/05/10 | 1081178 | help/LaTeX-FAQ-francaise/FAQ-fr_pages.tar.gz 2022/05/10 | 10456 | systems/texlive/tlnet/archive/bithesis.r63271.tar.xz @@ -3211,33 +3319,3 @@ 2022/05/08 | 101016 | graphics/mcf2graph/mcf2graph.mp 2022/05/08 | 100112 | fonts/roboto/tfm/RobotoSerif-MediumItalic-tosf-t1.tfm 2022/05/08 | 100108 | fonts/roboto/tfm/RobotoSerif-MediumItalic-tlf-t1.tfm -2022/05/07 | 938743 | graphics/pgf/contrib/yquant.zip -2022/05/07 | 893 | support/luafindfont/CHANGELOG -2022/05/07 | 84172 | systems/texlive/tlnet/archive/prociagssymp.doc.r63242.tar.xz -2022/05/07 | 791968 | macros/latex/contrib/begingreek.zip -2022/05/07 | 7890075 | macros/latex/contrib/koma-script.zip -2022/05/07 | 7804 | systems/texlive/tlnet/archive/mathsemantics.r63241.tar.xz -2022/05/07 | 6716 | language/japanese/pxjahyper/README-ja.md -2022/05/07 | 642040 | systems/texlive/tlnet/archive/mathsemantics.doc.r63241.tar.xz -2022/05/07 | 50293 | language/japanese/pxjahyper/pxjahyper.sty -2022/05/07 | 380646 | macros/latex/contrib/changebar/changebar.pdf -2022/05/07 | 3640762 | macros/latex/contrib/swfigure.zip -2022/05/07 | 3306 | language/japanese/pxjahyper/pxjahyper-enc.sty -2022/05/07 | 311390 | graphics/pgf/contrib/yquant/doc/yquant-doc.tex -2022/05/07 | 2984 | graphics/mcf2graph/mcf_example.tex -2022/05/07 | 2847 | language/japanese/pxjahyper/pxjahyper-uni.def -2022/05/07 | 2532 | systems/texlive/tlnet/archive/prociagssymp.r63242.tar.xz -2022/05/07 | 23854 | language/japanese/pxjahyper/pxjahyper-ajm.def -2022/05/07 | 2280 | language/japanese/pxjahyper/README.md -2022/05/07 | 2194 | graphics/mcf2graph/mcf_exa_soc.mp -2022/05/07 | 2176 | graphics/pgf/contrib/yquant/tex/yquant.sty -2022/05/07 | 18945 | language/japanese/pxjahyper/pxjahyper.tex -2022/05/07 | 187531 | macros/latex/contrib/runcode.zip -2022/05/07 | 18042 | graphics/mcf2graph/CHANGELOG -2022/05/07 | 17427 | support/luafindfont/scripts/luafindfont.lua -2022/05/07 | 1592 | systems/texlive/tlnet/archive/collection-mathscience.r63241.tar.xz -2022/05/07 | 14762 | graphics/pgf/contrib/yquant/tex/yquant-langhelper.tex -2022/05/07 | 14679012 | install/macros/latex/contrib/koma-script.tds.zip -2022/05/07 | 144466 | language/japanese/pxjahyper/pxjahyper.pdf -2022/05/07 | 121419 | macros/latex/contrib/changebar/changebar.dtx -2022/05/07 | 1017482 | graphics/pgf/contrib/yquant/doc/yquant-doc.pdf diff --git a/graphics/pstricks/contrib/pst-ode/ChangeLog b/graphics/pstricks/contrib/pst-ode/ChangeLog index 1ac17161d5..be28505bfd 100644 --- a/graphics/pstricks/contrib/pst-ode/ChangeLog +++ b/graphics/pstricks/contrib/pst-ode/ChangeLog @@ -1,3 +1,7 @@ +2022-05-14 + * version 0.17 + * fix: URL of lppl.txt in various files + 2022-05-13 * version 0.16 * fix: scoping issue with x, y, t in formatoutput and ODESET procedures, diff --git a/graphics/pstricks/contrib/pst-ode/README.md b/graphics/pstricks/contrib/pst-ode/README.md index d5316bdda2..2f214e5e47 100644 --- a/graphics/pstricks/contrib/pst-ode/README.md +++ b/graphics/pstricks/contrib/pst-ode/README.md @@ -14,4 +14,4 @@ The initial condition vector **x**0 and the right-hand side **f**`(`* `` can be directly used as the `` argument of `\listplot{}` (package `pst-plot`) or `\listplotThreeD{}` (package `pst-3dplot`). -This material is subject to the [LaTeX Project Public License](http://mirrors.ctan.org/tex-archive/macros/latex/base/lppl.txt). +This material is subject to the [LaTeX Project Public License](http://www.latex-project.org/lppl.txt). diff --git a/graphics/pstricks/contrib/pst-ode/pst-ode-doc.pdf b/graphics/pstricks/contrib/pst-ode/pst-ode-doc.pdf index f80e6bcfa2..85a26b7a3a 100644 Binary files a/graphics/pstricks/contrib/pst-ode/pst-ode-doc.pdf and b/graphics/pstricks/contrib/pst-ode/pst-ode-doc.pdf differ diff --git a/graphics/pstricks/contrib/pst-ode/pst-ode-doc.tex b/graphics/pstricks/contrib/pst-ode/pst-ode-doc.tex index 74b1e5ab11..a5c57a07f4 100644 --- a/graphics/pstricks/contrib/pst-ode/pst-ode-doc.tex +++ b/graphics/pstricks/contrib/pst-ode/pst-ode-doc.tex @@ -335,7 +335,7 @@ I'd like to thank Manuel Luque for the inspiring examples on his site \url{http: \section{License} This package can be redistributed and/or modified under the terms -of the \LaTeX Project Public License distributed from CTAN archives: -\url{http://mirrors.ctan.org/macros/latex/base/lppl.txt} +of the \LaTeX\ Project Public License\\ +\url{http://www.latex-project.org/lppl.txt} \end{document} diff --git a/graphics/pstricks/contrib/pst-ode/pst-ode.pro b/graphics/pstricks/contrib/pst-ode/pst-ode.pro index 0018fedc47..7358e8cb4f 100644 --- a/graphics/pstricks/contrib/pst-ode/pst-ode.pro +++ b/graphics/pstricks/contrib/pst-ode/pst-ode.pro @@ -1,13 +1,14 @@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % PostScript prologue for pst-ode.tex. -% Version 0.16, 2022/05/13 +% Version 0.17, 2022/05/14 % % Alexander Grahn (C) 2012--today % % This program can be redistributed and/or modified under the terms -% of the LaTeX Project Public License Distributed from CTAN archives: -% http://mirrors.ctan.org/macros/latex/base/lppl.txt +% of the LaTeX Project Public License +% +% http://www.latex-project.org/lppl.txt % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% /tx@odeDict 1 dict def diff --git a/graphics/pstricks/contrib/pst-ode/pst-ode.tex b/graphics/pstricks/contrib/pst-ode/pst-ode.tex index b4b43b1cd2..7cb0e89573 100644 --- a/graphics/pstricks/contrib/pst-ode/pst-ode.tex +++ b/graphics/pstricks/contrib/pst-ode/pst-ode.tex @@ -4,15 +4,16 @@ %% Alexander Grahn, (C) 2012--today %% %% This program can be redistributed and/or modified under the terms -%% of the LaTeX Project Public License Distributed from CTAN archives: -%% http://mirrors.ctan.org/macros/latex/base/lppl.txt +%% of the LaTeX Project Public License +%% +%% http://www.latex-project.org/lppl.txt %% %% `pst-ode' defines \pstODEsolve for integrating systems of first order %% ODEs using the Runge-Kutta-Fehlberg (RKF45) method with automatic %% step size adjustment %% -\def\fileversion{0.16} -\def\filedate{2022/05/13} +\def\fileversion{0.17} +\def\filedate{2022/05/14} \csname PSTODELoaded\endcsname \let\PSTODELoaded\endinput diff --git a/macros/generic/polexpr/README.md b/macros/generic/polexpr/README.md index 4a74900100..0f70c6cb34 100644 --- a/macros/generic/polexpr/README.md +++ b/macros/generic/polexpr/README.md @@ -1,88 +1,65 @@ Package polexpr README ====================== +Version ``0.8.7`` of ``2022/05/14``. + +Abstract +-------- + +The package provides a parser `\poldef` of algebraic expressions. +As it is based on [xintexpr](http://www.ctan.org/pkg/xintexpr) the +polynomial coefficients are allowed to be arbitrary rational +numbers. Operations on declared polynomials, such as computing +G.C.D.'s or evaluating definite and indefinite integrals are +available directly inside the parser via a functional syntax, or +also via dedicated package macros. + +Root localization is available via package macros. All real roots +can be obtained with arbitrarily long decimal expansions, and all +rational rounds found exactly. + +In memoriam: Jürgen Gilg +------------------------ + +`polexpr` is dedicated to the memory of Jürgen Gilg (1967-2022). + +His question in January 2018 about using +[xintexpr](http://www.ctan.org/pkg/xintexpr) to compute derivatives +of polynomials was the original motivation for the creation of this +package. Jointly with Thomas Söll, he used it and kept expressing +his interest in it throughout the subsequent years, and provided +motivation and encouragements for time-consuming tasks such as (as +was done finally in 2021) re-enacting full interoperability with +[xintexpr](http://www.ctan.org/pkg/xintexpr) after its `1.4` update +from 2020. + +I will remember with gratitude his generous and unassuming +character, which I witnessed during our numerous exchanges on a wide +range of topics. + Usage ----- -The package can be used with TeX based formats incorporating the -e-TeX primitives. The `\expanded` primitive available generally -since TeXLive 2019 is required. +The package can be used with eTeX based formats via \input polexpr.sty -with Plain or other non-LaTeX macro formats, or: +or with LaTeX via \usepackage{polexpr} -with the LaTeX macro format. +[xintexpr](http://www.ctan.org/pkg/xintexpr) `1.4h` or later is +required. -The package currently requires xintexpr.sty `1.4d` or later. - -Abstract --------- +Recent changes +-------------- -The package provides a parser `\poldef` of algebraic polynomial -expressions. As it is based on -[xintexpr](http://www.ctan.org/pkg/xint) -the coefficients are allowed to be arbitrary rational numbers. - -Once defined, a polynomial is usable by its name either as a numerical -function in `\xintexpr/\xinteval`, or for additional polynomial -definitions, or as argument to the package macros. The localization of -real roots to arbitrary precision as well as the determination of all -rational roots is implemented via such macros. - -Since release `0.8`, polexpr extends the -[xintexpr](http://www.ctan.org/pkg/xint) syntax to recognize -polynomials as a new variable type (and not only as functions). -Functionality which previously was implemented via macros such as the -computation of a greatest common divisor is now available directly in -`\xintexpr`, `\xinteval` or `\poldef` via infix or functional syntax. - -Releases --------- - -- 0.1 (2018/01/11) - Initial release (files README, polexpr.sty). -- 0.2 (2018/01/14) - Documentation moved to polexpr.{txt,html}. -- 0.3 (2018/01/17) - Make polynomials known to `\xintfloatexpr` and improve - documentation. -- 0.3.1 (2018/01/18) - Fix two typos in documentation. -- 0.4 (2018/02/16) - - Revert 0.3 automatic generation of floating point variants. - - Move CHANGE LOG from README.md to HTML documentation. - - A few bug fixes and breaking changes. Please refer to - `polexpr.html`. - - Main new feature: root localization via [Sturm - Theorem](https://en.wikipedia.org/wiki/Sturm%27s_theorem). -- 0.4.1 (2018/03/01) - Synced with xintexpr 1.3. -- 0.4.2 (2018/03/03) - Documentation fix. -- 0.5 (2018/04/08) - - new macros `\PolMakePrimitive` and `\PolIContent`. - - main (breaking) change: `\PolToSturm` creates a chain of primitive - integer coefficients polynomials. -- 0.5.1 (2018/04/22) - The `'` character can be used in polynomial names. -- 0.6 (2018/11/20) - New feature: multiplicity of roots. -- 0.7 (2018/12/08), 0.7.1 (bugfix), 0.7.2 (bugfix) (2018/12/09) - New feature: finding all rational roots. -- 0.7.3 (2019/02/04) - Bugfix: polynomial names ending in digits caused errors. Thanks to - Thomas Söll for report. -- 0.7.4 (2019/02/12) - Bugfix: 20000000000 is too big for \numexpr, shouldn't I know that? - Thanks to Jürgen Gilg for report. -- 0.7.5 (2020/01/31) - Synced with xintexpr 1.4. Requires it. - 0.8 (2021/03/29) - Complete refactoring of the package core for better integration with - and enhancement of xintexpr 1.4. + Complete refactoring of the package core for better interoperability + with `xintexpr` internal changes at its release `1.4 (2020/01/31)`. + Extension of the functional syntax to cover operations such as + G.C.D.'s, derivatives or indefinite integrals previously available + via macros. - 0.8.1 (2021/04/12) Bugfix: a typo broke the 0.8 ``diff1()`` and related functions. - 0.8.2 (2021/05/05) @@ -96,21 +73,13 @@ Releases Bugfix: `intfrom()` was documented at `0.8` but not declared to parser. Track (belatedly) `xintexpr` 1.4g changes - 0.8.6 (2022/01/09) - Separate `polexpr-examples.{tex,pdf}` from the `polexpr.html` reference - -Files of the 0.8.6 release: -- polexpr.sty, polexprcore.tex, polexprexpr.tex, polexprsturm.tex, -- README.md, -- polexpr.html (reference documentation), -- polexpr-examples.pdf, polexpr-examples.tex (pdf doc and its source). + Separate `polexpr-examples.{tex,pdf}` from the `polexpr.html` reference. +- 0.8.7 (2022/05/14) + CSS styling of the `html` documentation, which is now split over + three files. Catcode protection for `\poldef` now matches + long-standing behaviour of `\xintdefvar`. This fixes issues + with ``babel+french``. -Acknowledgments ---------------- - -Thanks to Jürgen Gilg whose question about -[xintexpr](http://www.ctan.org/pkg/xint) usage for differentiating -polynomials was the initial trigger leading to this package, and to -Jürgen Gilg and Thomas Söll for testing it on some concrete problems. License ------- @@ -133,6 +102,14 @@ This Work has the LPPL maintenance status author-maintained. The Author of this Work is Jean-François Burnol. -This Work consists of the package files polexpr.sty, polexprcore.tex, -polexprexpr.tex, polexprsturm.tex, this README.md and documentation -polexpr.html, polexpr-examples.tex, polexpr-examples.pdf +This Work consists of: + +- the package files: polexpr.sty, polexprcore.tex, + polexprexpr.tex, polexprsturm.tex, +- this README.md, +- the documentation files: + polexpr.html, polexpr-ref.html, polexpr-changes.html, + polexpr.css, polexpr-examples.pdf, + polexpr.rst.txt, polexpr-ref.rst.txt, polexpr-changes.rst.txt, + polexpr-examples.tex + diff --git a/macros/generic/polexpr/polexpr-changes.html b/macros/generic/polexpr/polexpr-changes.html new file mode 100644 index 0000000000..51392f6565 --- /dev/null +++ b/macros/generic/polexpr/polexpr-changes.html @@ -0,0 +1,629 @@ + + + + + + + + + CHANGES — polexpr 0.8.7 documentation + + + + + +
+
+
+
+ +
+

CHANGES

+
+

v0.1 (2018/01/11): initial release. Features:

+ +

Only one-variable polynomials so far.

+
+
+

v0.2 (2018/01/14)

+
    +
  • Fix: "README thinks \numexpr recognizes ^ operator".

  • +
  • Convert README to reStructuredText markup.

  • +
  • Move main documentation from README to separate polexpr.txt file.

  • +
  • Provide polexpr.html as obtained via DocUtils rst2html.py.

  • +
  • Convert README to (CTAN compatible) Markdown markup.

  • +
+

Due to lack of available time the test suite might not be extensive +enough. Bug reports are very welcome!

+
+
+

v0.3 (2018/01/17)

+
    +
  • bug fixes:

    +
      +
    • the 0.1 \PolEval accepted expressions for its +second argument, but this was removed by mistake at 0.2. Restored.

      +

      Attention: at 0.4 this has been reverted again, and +\PolEval{P}\AtExpr{foo} syntax is needed for +using expressions in the second argument.

      +
    • +
    +
  • +
  • incompatible or breaking changes:

    +
      +
    • \PolToExpr now by default uses descending +powers (it also treats differently coefficients equal to 1 or -1.) +Use \PolToExpr* for ascending powers.

    • +
    • \PolEval reduced the output to smallest terms, +but as this is costly with big fractions and not needed if e.g. +wrapped in an \xintRound or \xintFloat, this step has been +removed; the former meaning is available as +\PolEvalReduced.

    • +
    +
  • +
  • new (or newly documented) macros:

    + +
  • +
  • improvements:

    +
      +
    • documentation has a table of contents, internal hyperlinks, +standardized signature notations and added explanations.

    • +
    • one can do \PolLet{g}={f} or \PolLet{g}{f}.

    • +
    • \PolToExpr{f} is highly customizable.

    • +
    • \poldef and other defining macros prepare the +polynomial functions for usage within \xintthefloatexpr (or +\xintdeffloatvar). Coefficients are pre-rounded to the floating +point precision. Indispensible for numerical algorithms, as exact +fractions, even reduced, quickly become very big. See the documentation +about how to use the exact polynomials also in floating point context.

      +

      Attention: this has been reverted at 0.4. The macro +\PolGenFloatVariant must be used for +generation floating point polynomial functions.

      +
    • +
    +
  • +
+
+
+

v0.3.1 (2018/01/18)

+

Fixes two typos in example code included in the documentation.

+
+
+

v0.4 (2018/02/16)

+ +
+
+

v0.4.1 (2018/03/01)

+

Synced with xint 1.3.

+
+
+

v0.4.2 (2018/03/03)

+

Documentation fix.

+
+
+

v0.5 (2018/04/08)

+
    +
  • bug fixes:

    + +
  • +
  • breaking changes:

    +
      +
    • \PolToSturm creates primitive integer coefficients +polynomials. This speeds up localization of roots via +\PolSturmIsolateZeros. In case of user +protests the author will make available again the code producing the +bona fide Sturm polynomials as used formerly.

    • +
    • polynomials created from \PolFromCSV or +\PolGet +get their coefficients normalized via xintfrac‘s \xintRaw.

    • +
    +
  • +
  • experimental change:

    +
      +
    • optional argument to \PolSturmIsolateZeros +(see The degree 41 polynomial with -2, -1.9, -1.8, ..., 0, 0.1, ..., +1.9, 2 as roots in polexpr-examples.pdf). It will presumably be +replaced in future by an interval specification.

    • +
    +
  • +
  • new non-expandable macro:

    + +
  • +
  • new expandable macro:

    + +
  • +
+
+
+

v0.5.1 (2018/04/22)

+
    +
  • new feature:

    +
      +
    • the character ' can be used in polynomial names.

    • +
    +
  • +
+
+
+

v0.6 (2018/11/20)

+ +
+
+

v0.7 (2018/12/08), v0.7.1 (bugfix), v0.7.2 (2nd bugfix) (2018/12/09)

+ +
+
+

v0.7.3 (2019/02/04)

+ +
+
+

v0.7.4 (2019/02/12)

+
    +
  • bugfix:

    +
      +
    • 20000000000 is too big for \numexpr, shouldn’t I know that? +Thanks to Jürgen Gilg for report.

    • +
    +
  • +
+
+
+

v0.7.5 (2020/01/31)

+

Synced with xintexpr 1.4. Requires it.

+
+
+

v0.8 (2021/03/29)

+

Synced with xintexpr 1.4d. Requires it.

+
    +
  • breaking changes:

    +
      +
    • As the usability of character ' in names has been extended +from \poldef to also generally \xintexpr, \xintdefvar, +and \xintdeffunc, it means that the infix operators +'and', 'or', and 'mod' must be replaced +by &&, ||, and /: if they +follow immediately a variable name (similarly 'xor' must +be replaced by the xor() function in such case).

    • +
    • \PolToExpr by default uses a catcode 12 +^. See its documentation and the new configuration +\PolToExprCaret.

    • +
    +
  • +
  • deprecated:

    +
      +
    • Usage of P/Q for the euclidean quotient of two polynomials is +deprecated. Start using quo(P,Q) in its place.

    • +
    +
  • +
  • bugfix:

    +
      +
    • The \xintglobaldefstrue setting was obeyed only partially +by the polexpr macros defining polynomials.

    • +
    • The \xintexpr variables storing the values of the extremities of the +intervals as found by \PolSturmIsolateZeros were not updated at 0.7.5 to the xintexpr 1.4 +format and thus caused low-level TeX errors if used.

    • +
    • Attempting to use in \poldef a function previously declared +via \xintdeffunc which made usage of the indexing or slicing +“ople†syntax typically caused TeX capacity exceeded error. +Indeed 0.7.5 only partially made polexpr able to cope with the +extended possibilities for xintexpr 1.4 user-declared functions. +Hopefully 0.8 achieves full functionality in this context.

    • +
    +
  • +
  • new macros:

    + +
  • +
  • new features:

    +
      +
    • The package is usable under Plain and probably most any TeX format, +and not only under LaTeX.

    • +
    • The core of the package has been rewritten entirely in order to +start letting \xintexpr recognize a polynomial type as a genuine +variable. This has allowed:

      +
        +
      • to solve the reduced inter-operability problems between polexpr +and xintexpr which arose as consequences to the deep xintexpr 1.4 +evolution,

      • +
      • to make available most of the functionality associated to +expandable macros directly in the \xinteval syntax as +operators or functions,

      • +
      • to provide (expandable) functional interface in \xinteval to +features previously available only via (for some, non-expandable) +macro interface such as gcd computations.

      • +
      +
    • +
    +
  • +
+

See the updated Quick syntax overview and then +the extended syntax description.

+
+
+

v0.8.1 (2021/04/12)

+
    +
  • breaking changes:

    +
      +
    • renamed v0.8’s icontent() to cont().

    • +
    • renamed v0.8’s lcoeff() to lc().

    • +
    +
  • +
  • bugfix:

    +
      +
    • Sadly, diff1(), diff2(), diffn() were broken +for polynomials of degrees 8 or more, due to a typo and +insufficient testing.

    • +
    • The package should have (as documented) required xintexpr 1.4d +but in practice it accepted to work with xintexpr 1.4c, whose +\xinteval does not know how to “output†a polynomial.

    • +
    • The definition of one of the two variants of +\PolSturmNbOfRootsOf… +was broken by an end-of-line space, left-over +from mass conversion from LaTeX to TeX syntax.

    • +
    +
  • +
  • added:

    + +
  • +
+
+
+

v0.8.2 (2021/05/05)

+
    +
  • breaking change:

    + +
  • +
  • improved:

    +
      +
    • Some xintexpr functions such as rseq() use the semi-colon, +and it was mentioned in the documentation that \poldef +will be confused by this and that inner semi-colons could be +set within braces {;} as a work-around. It was not clear from +this documentation that also \PolDef required +this work-around. With this relase only \poldef but +not \PolDef needs the work-around.

    • +
    +
  • +
  • track xintexpr 1.4e changes relative to powers.

  • +
+
+
+

v0.8.3 (2021/05/27)

+
    +
  • small internal update to track an xintexpr 1.4h change +regarding handling of exceptions. Will require this version at +least on loading.

  • +
+
+
+

v0.8.4 (2021/11/01)

+ +
+
+

v0.8.5 (2021/11/30)

+
    +
  • bugfix: support for the intfrom() function was in the code, +but the declaration to the polynomial parser had not been done.

  • +
  • track (belatedly) upstream deprecation of \xintSignedFrac and +\xintSignedFwOver at xintexpr 1.4g

  • +
+
+
+

v0.8.6 (2022/01/09)

+ +
+
+

v0.8.7 (2022/05/14)

+
    +
  • bugfix: catcode sanitization by \poldef was minimal +ever since 0.1 and handled only the semi-colon. Thus e.g. the +active ! from babel-french caused errors and \string! was +needed as work-around for factorials. Now the same sanitization as +for \xintdefvar and \xintdeffunc is applied. This however can +only work at locations where the catcodes are not yet frozen at the +time \poldef expands.

  • +
  • split the html documentation into three files and enhance it via CSS +styling.

  • +
+
+
+ + +
+
+
+
+ +
+
+ + + + \ No newline at end of file diff --git a/macros/generic/polexpr/polexpr-changes.rst.txt b/macros/generic/polexpr/polexpr-changes.rst.txt new file mode 100644 index 0000000000..c1f2c834ec --- /dev/null +++ b/macros/generic/polexpr/polexpr-changes.rst.txt @@ -0,0 +1,513 @@ +.. comment: -*- fill-column: 72; mode: rst -*- + +========= + CHANGES +========= + +.. _firstrelease: + +v0.1 (2018/01/11): initial release. Features: +--------------------------------------------- + +* The :ref:`\\poldef ` parser itself, +* Differentiation and anti-differentiation, +* Euclidean division and GCDs, +* Various utilities such as :ref:`\\PolFromCSV `, + :ref:`\\PolMapCoeffs `, + :ref:`\\PolToCSV `, :ref:`\\PolToExpr `, ... + +Only one-variable polynomials so far. + +v0.2 (2018/01/14) +----------------- + +* Fix: ``"README thinks \numexpr recognizes ^ operator"``. +* Convert README to reStructuredText markup. +* Move main documentation from README to separate ``polexpr.txt`` file. +* Provide ``polexpr.html`` as obtained via DocUtils_ ``rst2html.py``. +* Convert README to (CTAN compatible) Markdown markup. + +Due to lack of available time the test suite might not be extensive +enough. Bug reports are very welcome! + +v0.3 (2018/01/17) +----------------- + +* bug fixes: + + - the ``0.1`` :ref:`\\PolEval ` accepted expressions for its + second argument, but this was removed by mistake at ``0.2``. Restored. + + **Attention**: at ``0.4`` this has been reverted again, and + :ref:`\\PolEval{P}\\AtExpr{foo} ` syntax is needed for + using expressions in the second argument. +* incompatible or breaking changes: + + - :ref:`\\PolToExpr ` now by default uses *descending* + powers (it also treats differently coefficients equal to 1 or -1.) + Use :ref:`\\PolToExpr* ` for *ascending* powers. + - :ref:`\\PolEval ` reduced the output to smallest terms, + but as this is costly with big fractions and not needed if e.g. + wrapped in an ``\xintRound`` or ``\xintFloat``, this step has been + removed; the former meaning is available as + :ref:`\\PolEvalReduced `. +* new (or newly documented) macros: + + - :ref:`\\PolTypesetCmd ` + - :ref:`\\PolTypesetCmdPrefix ` + - :ref:`\\PolTypesetMonomialCmd ` + - :ref:`\\PolEvalReducedAt ` + - :ref:`\\PolToFloatExpr ` + - :ref:`\\PolToExprOneTerm ` + - :ref:`\\PolToFloatExprOneTerm ` + - :ref:`\\PolToExprCmd ` + - :ref:`\\PolToFloatExprCmd ` + - :ref:`\\PolToExprTermPrefix ` + - :ref:`\\PolToExprVar ` + - :ref:`\\PolToExprTimes ` +* improvements: + + - documentation has a table of contents, internal hyperlinks, + standardized signature notations and added explanations. + - one can do ``\PolLet{g}={f}`` or ``\PolLet{g}{f}``. + - ``\PolToExpr{f}`` is highly customizable. + - :ref:`\\poldef ` and other defining macros prepare the + polynomial functions for usage within ``\xintthefloatexpr`` (or + ``\xintdeffloatvar``). Coefficients are pre-rounded to the floating + point precision. Indispensible for numerical algorithms, as exact + fractions, even reduced, quickly become very big. See the documentation + about how to use the exact polynomials also in floating point context. + + **Attention**: this has been reverted at ``0.4``. The macro + :ref:`\\PolGenFloatVariant ` must be used for + generation floating point polynomial functions. + +v0.3.1 (2018/01/18) +------------------- + +Fixes two typos in example code included in the documentation. + +v0.4 (2018/02/16) +----------------- + +* bug fixes: + + - when Euclidean division gave a zero remainder, the internal + representation of this zero polynomial could be faulty; this + could cause mysterious bugs in conjunction with other package + macros such as :ref:`\\PolMapCoeffs `. + - :ref:`\\PolGCD ` was buggy in case of first polynomial being + of lesser degree than the second one. +* breaking changes: + + - formerly :ref:`\\PolEval{P}\\At{foo} ` allowed ``foo`` to + be an expression, which was transparently handled via + ``\xinttheexpr``. Now, ``foo`` must be a fraction (or a macro + expanding to such) in the format acceptable by ``xintfrac.sty`` + macros. Use :ref:`\\PolEval{P}\\AtExpr{foo} ` for more + general arguments using expression syntax. E.g., if ``foo`` is the + name of a variable known to ``\xintexpr``. + + The same holds for :ref:`\\PolEvalReduced ` + and :ref:`\\PolFloatEval `. + - the ``3.0`` automatic generation of floating point variants has + been reverted. Not only do *not* the package macros automatically + generate floating point variants of newly created polynomials, + they actually make pre-existing such variant undefined. + + See :ref:`\\PolGenFloatVariant `. +* new non-expandable macros: + + - :ref:`\\PolGenFloatVariant ` + - :ref:`\\PolGlobalLet ` + - :ref:`\\PolTypesetOne ` + - :ref:`\\PolQuo ` + - :ref:`\\PolRem ` + - :ref:`\\PolToSturm ` + - :ref:`\\PolToSturm\* ` + - :ref:`\\PolSetToSturmChainSignChangesAt ` + - :ref:`\\PolSetToNbOfZerosWithin ` + - :ref:`\\PolSturmIsolateZeros ` + - :ref:`\\PolRefineInterval* ` + - :ref:`\\PolRefineInterval[N] ` + - :ref:`\\PolEnsureIntervalLength ` + - :ref:`\\PolEnsureIntervalLengths ` + - :ref:`\\PolPrintIntervals ` + - :ref:`\\PolPrintIntervalsPrintExactZero ` + - :ref:`\\PolPrintIntervalsPrintLeftEndPoint ` + - :ref:`\\PolPrintIntervalsPrintRightEndPoint ` + - :ref:`\\PolReduceCoeffs* ` + - :ref:`\\PolMakeMonic ` +* new expandable macros: + + - :ref:`\\PolToExprOneTermStyleA ` + - :ref:`\\PolIfCoeffIsPlusOrMinusOne ` + - :ref:`\\PolLeadingCoeff ` + - :ref:`\\PolSturmChainLength ` + - :ref:`\\PolSturmNbOfIsolatedZeros ` + - :ref:`\\PolSturmIfZeroExactlyKnown ` + - :ref:`\\PolSturmIsolatedZeroLeft ` + - :ref:`\\PolSturmIsolatedZeroRight ` + - ``\PolPrintIntervalsTheEndPoint`` (removed at 0.7) + - :ref:`\\PolPrintIntervalsTheIndex ` + - ``\PolIfEndPointIsPositive`` (removed at 0.7) + - ``\PolIfEndPointIsNegative`` (removed at 0.7) + - ``\PolIfEndPointIsZero`` (removed at 0.7) + - :ref:`\\PolIntervalWidth ` + - :ref:`\\PolDecToString ` +* improvements: + + The main new feature is implementation of the `Sturm algorithm`_ + for localization of the real roots of polynomials. + +v0.4.1 (2018/03/01) +------------------- + +Synced with xint 1.3. + +v0.4.2 (2018/03/03) +------------------- + +Documentation fix. + +v0.5 (2018/04/08) +----------------- + +* bug fixes: + + - :ref:`\\PolGet{polname}\\fromarray\\macro ` + crashed when ``\macro`` was + an xinttools_ array macro with no items. It now produces the zero + polynomial. +* breaking changes: + + - :ref:`\\PolToSturm ` creates primitive integer coefficients + polynomials. This speeds up localization of roots via + :ref:`\\PolSturmIsolateZeros `. In case of user + protests the author will make available again the code producing the + bona fide Sturm polynomials as used formerly. + - polynomials created from :ref:`\\PolFromCSV ` or + :ref:`\\PolGet ` + get their coefficients normalized via xintfrac_\ 's ``\xintRaw``. +* experimental change: + + - optional argument to :ref:`\\PolSturmIsolateZeros ` + (see ``The degree 41 polynomial with -2, -1.9, -1.8, ..., 0, 0.1, ..., + 1.9, 2 as roots`` in ``polexpr-examples.pdf``). It will presumably be + replaced in future by an interval specification. +* new non-expandable macro: + + - :ref:`\\PolMakePrimitive ` +* new expandable macro: + + - :ref:`\\PolIContent ` + +v0.5.1 (2018/04/22) +------------------- + +* new feature: + + - the character ``'`` can be used in polynomial names. + +v0.6 (2018/11/20) +----------------- + +* bugfix: + + - the starred variant + :ref:`\\PolToSturm*{\}{\} ` + was broken. On the occasion of the fix, its meaning has + been modified, see its documentation. + + - using :ref:`\\PolToSturm ` with a constant polynomial + caused a division by zero error. + +* new macro: + + - :ref:`\\PolSturmIsolateZeros* ` + acts like the :ref:`non-starred variant + ` then computes all the multiplicities. + +* new expandable macros: + + - :ref:`\\PolSturmIsolatedZeroMultiplicity{\}{\} ` + - :ref:`\\PolSturmNbOfRootsOf{\}\\LessThanOrEqualTo{\} ` + - :ref:`\\PolSturmNbOfRootsOf{\}\\LessThanOrEqualToExpr{\} ` + - :ref:`\\PolSturmNbWithMultOfRootsOf{\}\\LessThanOrEqualTo{\} ` + - :ref:`\\PolSturmNbWithMultOfRootsOf{\}\\LessThanOrEqualToExpr{\} ` + +v0.7 (2018/12/08), v0.7.1 (bugfix), v0.7.2 (2nd bugfix) (2018/12/09) +-------------------------------------------------------------------- + +* breaking changes: + + - although :ref:`\\PolPrintIntervals[\]{\} ` default output + remains the same, some auxiliary macros for user-customization + have been removed: ``\PolPrintIntervalsTheEndPoint``, + ``\PolIfEndPointIsPositive{T}{F}``, + ``\PolIfEndPointIsNegative{T}{F}``, and + ``\PolIfEndPointIsZero{T}{F}``. + +* bugfix: + + - it could happen that, contrarily to documentation, an interval computed + by :ref:`\\PolSturmIsolateZeros{\} ` had + zero as an endpoint, + - :ref:`\\PolEnsureIntervalLength{\}{\}{\} + ` could under certain circumstances erroneously + replace a non-zero root by zero, + - :ref:`\\PolEnsureIntervalLengths{\}{\} + ` crashed when used with a polynomial with no + real roots, hence for which no isolation intervals existed (thanks to + Thomas Söll for report). + +* new macros: + + - :ref:`\\PolSturmIsolateZeros**{\} ` + - :ref:`\\PolSturmIsolateZerosGetMultiplicitiesAndRationalRoots{\} ` + - :ref:`\\PolSturmIsolateZerosAndFindRationalRoots{\} ` + - :ref:`\\polexprsetup ` + - :ref:`\\PolPrintIntervals* ` + - :ref:`\\PolPrintIntervalsNoRealRoots ` + - :ref:`\\PolPrintIntervalsBeginEnv ` + - :ref:`\\PolPrintIntervalsEndEnv ` + - :ref:`\\PolPrintIntervalsKnownRoot ` + - :ref:`\\PolPrintIntervalsUnknownRoot ` + - :ref:`\\PolPrintIntervalsPrintMultiplicity ` + +* new expandable macros: + + - :ref:`\\PolSturmNbOfRationalRoots{\} ` + - :ref:`\\PolSturmNbOfRationalRootsWithMultiplicities{\} ` + - :ref:`\\PolSturmRationalRoot{\}{\} ` + - :ref:`\\PolSturmRationalRootIndex{\}{\} ` + - :ref:`\\PolSturmRationalRootMultiplicity{\}{\} ` + - :ref:`\\PolPrintIntervalsTheVar ` + - :ref:`\\PolPrintIntervalsTheSturmName ` + - :ref:`\\PolPrintIntervalsTheMultiplicity ` + +v0.7.3 (2019/02/04) +------------------- + +* bugfix: + + - Debugging information not destined to user showed in log if root + finding was done under ``\xintverbosetrue`` regime. + - :ref:`\\PolPrintIntervalsTheVar ` remained + defined after :ref:`\\PolPrintIntervals ` but was + left undefined after :ref:`\\PolPrintIntervals* ` + (reported by Jürgen Gilg). Now remains defined in both cases, and + :ref:`\\PolPrintIntervalsTheSturmName ` + also. + - Polynomial names ending in digits caused errors (reported by Thomas + Söll). + +v0.7.4 (2019/02/12) +------------------- + +* bugfix: + + - 20000000000 is too big for ``\numexpr``, shouldn't I know that? + Thanks to Jürgen Gilg for report. + +v0.7.5 (2020/01/31) +------------------- + +Synced with xintexpr 1.4. Requires it. + +.. _polexpr08release: + +v0.8 (2021/03/29) +----------------- + +Synced with xintexpr 1.4d. Requires it. + +* breaking changes: + + - As the usability of character ``'`` in names has been extended + from ``\poldef`` to also generally ``\xintexpr``, ``\xintdefvar``, + and ``\xintdeffunc``, it means that the infix operators + ``'and'``, ``'or'``, and ``'mod'`` must be replaced + by ``&&``, ``||``, and ``/:`` if they + follow immediately a variable name (similarly ``'xor'`` must + be replaced by the ``xor()`` function in such case). + + - :ref:`\\PolToExpr ` by default uses a catcode 12 + ``^``. See its documentation and the new configuration + :ref:`\\PolToExprCaret `. + +* deprecated: + + - Usage of ``P/Q`` for the euclidean quotient of two polynomials is + deprecated. Start using ``quo(P,Q)`` in its place. + +* bugfix: + + - The ``\xintglobaldefstrue`` setting was obeyed only partially + by the polexpr macros defining polynomials. + + - The ``\xintexpr`` variables storing the values of the extremities of the + intervals as found by :ref:`\\PolSturmIsolateZeros + ` were not updated at 0.7.5 to the xintexpr 1.4 + format and thus caused low-level TeX errors if used. + + - Attempting to use in ``\poldef`` a function previously declared + via ``\xintdeffunc`` which made usage of the indexing or slicing + "ople" syntax typically caused ``TeX capacity exceeded`` error. + Indeed 0.7.5 only partially made polexpr able to cope with the + extended possibilities for xintexpr 1.4 user-declared functions. + Hopefully ``0.8`` achieves full functionality in this context. + +* new macros: + + - :ref:`\\polnewpolverbosefalse ` + - :ref:`\\PolToExprCaret ` + - :ref:`\\PolToExprInVar ` + - alongside the major new functionalities described in the next item + :ref:`\\PolTypeset ` and :ref:`\\PolToExpr ` have + been enhanced to accept as argument a general expression and not + only a pre-declared polynomial name. + +* new features: + + - The package is usable under Plain and probably most any TeX format, + and not only under LaTeX. + + - The core of the package has been rewritten entirely in order to + start letting ``\xintexpr`` recognize a polynomial type as a genuine + variable. This has allowed: + + - to solve the reduced inter-operability problems between polexpr + and xintexpr_ which arose as consequences to the deep xintexpr_ ``1.4`` + evolution, + + - to make available most of the functionality associated to + expandable macros directly in the ``\xinteval`` syntax as + operators or functions, + + - to provide (expandable) functional interface in ``\xinteval`` to + features previously available only via (for some, non-expandable) + macro interface such as gcd computations. + +See the updated :ref:`Quick syntax overview ` and then +:ref:`the extended syntax description `. + +v0.8.1 (2021/04/12) +------------------- + +* breaking changes: + + - renamed v0.8's ``icontent()`` to :ref:`cont() `. + - renamed v0.8's ``lcoeff()`` to :ref:`lc() `. + +* bugfix: + + - Sadly, ``diff1()``, ``diff2()``, ``diffn()`` were broken + for polynomials of degrees 8 or more, due to a typo and + insufficient testing. + + - The package should have (as documented) required xintexpr_ 1.4d + but in practice it accepted to work with xintexpr_ 1.4c, whose + ``\xinteval`` does not know how to "output" a polynomial. + + - The definition of one of the two variants of + :ref:`\\PolSturmNbOfRootsOf... ` + was broken by an end-of-line space, left-over + from mass conversion from LaTeX to TeX syntax. + +* added: + + - :ref:`lpol() ` + - :ref:`lcoeffs() ` + +v0.8.2 (2021/05/05) +------------------- + +* breaking change: + + - usage of ``\xintPFloat`` in place of ``\xintFloat`` for + :ref:`\\PolToFloatExprCmd `. + +* improved: + + - Some xintexpr_ functions such as ``rseq()`` use the semi-colon, + and it was mentioned in the documentation that :ref:`\\poldef ` + will be confused by this and that inner semi-colons could be + set within braces ``{;}`` as a work-around. It was not clear from + this documentation that also :ref:`\\PolDef ` required + this work-around. With this relase only :ref:`\\poldef ` but + not :ref:`\\PolDef ` needs the work-around. + +* track xintexpr_ ``1.4e`` changes relative to powers. + +v0.8.3 (2021/05/27) +------------------- + +* small internal update to track an xintexpr_ ``1.4h`` change + regarding handling of exceptions. Will require this version at + least on loading. + +v0.8.4 (2021/11/01) +------------------- + +* bugfix: :ref:`\\PolSturmIsolateZeros**{\} + ` did not declare the ``_norr`` and + ``_sqf_norr`` polynomials if original polynomial had no real + root! + +v0.8.5 (2021/11/30) +------------------- + +* bugfix: support for the ``intfrom()`` function was in the code, + but the declaration to the polynomial parser had not been done. + +* track (belatedly) upstream deprecation of ``\xintSignedFrac`` and + ``\xintSignedFwOver`` at xintexpr_ ``1.4g`` + +v0.8.6 (2022/01/09) +------------------- + +* provide a separate ``polexpr-examples.pdf`` with examples formerly + shown as part of the html documentation. + +* minor improvement to the computation of a priori bounds on real roots. + +* add :ref:`\\PolPrintIntervalsRowSeparator ` + and allow usage of ``amsmath`` environments in custom + :ref:`\\PolPrintIntervalsBeginEnv ` and + :ref:`\\PolPrintIntervalsEndEnv `. + +v0.8.7 (2022/05/14) +------------------- + +* bugfix: catcode sanitization by :ref:`\\poldef ` was minimal + ever since ``0.1`` and handled only the semi-colon. Thus e.g. the + active ``!`` from babel-french caused errors and ``\string!`` was + needed as work-around for factorials. Now the same sanitization as + for ``\xintdefvar`` and ``\xintdeffunc`` is applied. This however can + only work at locations where the catcodes are not yet frozen at the + time ``\poldef`` expands. + +* split the html documentation into three files and enhance it via CSS + styling. + + +.. _xinttools: +.. _xintfrac: +.. _xint: https://www.ctan.org/pkg/xint + +.. _xintexpr: https://www.ctan.org/pkg/xintexpr + +.. _xintsession: https://www.ctan.org/pkg/xintsession + +.. _Wilkinson polynomial: https://en.wikipedia.org/wiki/Wilkinson%27s_polynomial + +.. _Sturm algorithm: +.. _Sturm Theorem: https://en.wikipedia.org/wiki/Sturm%27s_theorem + +.. _DocUtils: http://docutils.sourceforge.net/docs/index.html + + +.. Local variables: +.. sentence-end-double-space: t; +.. End: diff --git a/macros/generic/polexpr/polexpr-examples.pdf b/macros/generic/polexpr/polexpr-examples.pdf index 1c67b4e533..5be0a95a42 100644 Binary files a/macros/generic/polexpr/polexpr-examples.pdf and b/macros/generic/polexpr/polexpr-examples.pdf differ diff --git a/macros/generic/polexpr/polexpr-examples.tex b/macros/generic/polexpr/polexpr-examples.tex index fa2f330513..564c1912da 100644 --- a/macros/generic/polexpr/polexpr-examples.tex +++ b/macros/generic/polexpr/polexpr-examples.tex @@ -145,25 +145,12 @@ \makeatletter \catcode`_ 11 -\def\everbatimtop {\MacroFont\small}% default -\let\everbatimbottom\empty -\let\everbatimhook\empty - \def\everbatim {\s@everbatim\@everbatim } -\@namedef{everbatim*}{\s@everbatim\expandafter\@everbatimx\expandafter - {\the\newlinechar}} -\let\everbatimbgcolorcmd\empty -\def\everbatimeverypar{\strut - {\everbatimbgcolorcmd\vrule\@width\linewidth }% - \kern-\linewidth - \kern\everbatimindent } -\def\everbatimindent {\z@} -% voir plus loin atbegindocument +%! ancienne méthode sans doute motivé par possibilité code ferme un groupe? +%! \@namedef{everbatim*}{\s@everbatim\@everbatimx\expandafter +%! {\the\newlinechar}} +\@namedef{everbatim*}{\s@everbatim\@everbatimx } -\def\endeverbatim {\if@newlist \leavevmode\fi\endtrivlist } - -\@namedef{endeverbatim*}{\endeverbatim\aftergroup\everbatimundoparskip} -\def\everbatimundoparskip{\vbox{}\kern-\baselineskip\kern-\parskip} % Note 25 juin 2021 % On ne peut pas emboîter un everbatim à l'intérieur d'un everbatim % ou un everbatim* à l'intérieur d'un everbatim*... @@ -197,6 +184,14 @@ }% \obeylines \@vobeyspaces } +\def\everbatimtop {\MacroFont\small}% default +\let\everbatimhook\empty +\def\everbatimeverypar{\strut + {\everbatimbgcolorcmd\vrule\@width\linewidth }% + \kern-\linewidth + \kern\everbatimindent } +\let\everbatimbgcolorcmd\empty +\def\everbatimindent {\z@} \begingroup \lccode`X 13 @@ -210,31 +205,47 @@ |lowercase[|endgroup% both freezes catcodes and converts X to active ^^M |def|@everbatim #1X#2\end{everbatim}% [#2|end[everbatim]|everbatimbottom ] -|def|@everbatimx #1#2X#3\end{everbatimY}]% - {#3\end{everbatim*}% - \everbatimbottom +|def|@everbatimx #1X#2\end{everbatimY}]% + {#2\end{everbatim*}% +% refactored 2022/01/11, rather than passing \newlinechar value +% as was done formerly via everbatim* (see above) and fetching it here as #1 +% it is thus assumed executed contents will not terminate a scope + \edef\everbatimrestorenewlinechar{\newlinechar\the\newlinechar\relax}% \newlinechar 13 +% refactored 2022/01/11: +% attention, \parskip set to zero for execution of contents +% reason: avoid extra space if everbatim* is in an \item of a list +% between verbatim and output of execution, if it starts a paragraph +% \vskip-\parskip would be no good in case contents create a display + \edef\everbatimrestoreparskip{\parskip\the\parskip}% + \parskip\z@skip % execution as LaTeX code of contents \everbatimxprehook - \scantokens {#3}% - \newlinechar #1\relax + \scantokens {#2}% + \everbatimrestorenewlinechar + \everbatimrestoreparskip \everbatimxposthook }% - % L'espace venant du endofline final mis par \scantokens sera inhibé si #3 se % termine par un % ou un \x, etc... -\let\everbatimxfgcolorcmd\empty +\let\everbatimbottom\empty + +\def\endeverbatim {\if@newlist \leavevmode\fi\endtrivlist } +\@namedef{endeverbatim*}{\endeverbatim} +% \@namedef{endeverbatim*}{\endeverbatim\aftergroup\everbatimundoparskip} +% \def\everbatimundoparskip{\vbox{}\kern-\baselineskip\kern-\parskip} +% \let\everbatimundoparskip\empty + +% rationale: we do not want a group +% see xint.dtx for better way avoiding colorstack overflow problem +% with latex+dvipdfmx \def\everbatimxprehook {\colorlet{everbsavedcolor}{.}% - \everbatimxfgcolorcmd - \smallskip % pour polexpr-examples.tex - % à cause de problèmes avec les - % output en "display" - }% + \everbatimxfgcolorcmd}% +\let\everbatimxfgcolorcmd\empty % default \def\everbatimxposthook {\color{everbsavedcolor}} - \catcode`_ 8 \makeatother @@ -251,9 +262,9 @@ % \verb %\colorlet{verbcolor}{DarkCyan} -\colorlet{verbcolor}{black} +\colorlet{verbcolor}{Maroon} \colorlet{verbsoftwrapiconcolor}{DarkBlue} -\def\MicroFont{\ttfamily%\color{verbcolor} +\def\MicroFont{\ttfamily\color{verbcolor} \makestarlowast\makequotesstraight}% % everbatim/everbatim* @@ -265,11 +276,13 @@ \def\MacroFont{\ttfamily\color{everbatimfgcolor}} %\colorlet{everbatimbgcolor}{WhiteSmoke} -\colorlet{everbatimbgcolor}{Ivory} +%\colorlet{everbatimbgcolor}{Ivory} +\colorlet{everbatimbgcolor}{Beige} \def\everbatimbgcolorcmd{\color{everbatimbgcolor}} %\colorlet{everbatimxfgcolor}{MidnightBlue} -\colorlet{everbatimxfgcolor}{OliveDrab} +%\colorlet{everbatimxfgcolor}{OliveDrab} +\colorlet{everbatimxfgcolor}{Maroon} \def\everbatimxfgcolorcmd{\color{everbatimxfgcolor}} % Notice that \macrocode uses \macro@font which stores the \MacroFont meaning @@ -281,7 +294,7 @@ The package provides a parser |\poldef| of algebraic polynomial -expressions. +expressions. Once defined, a polynomial is usable by its name either as a numerical function in |\xintexpr/\xinteval|, or for additional polynomial @@ -373,11 +386,10 @@ file. \section{A first example} - In this example the polynomial is square-free. \begin{everbatim*} \poldef f(x) := x^7 - x^6 - 2x + 1; - +% \PolToSturm{f}{f} \PolSturmIsolateZeros{f} The \PolTypeset{f} polynomial has \PolSturmNbOfIsolatedZeros{f} distinct real diff --git a/macros/generic/polexpr/polexpr-ref.html b/macros/generic/polexpr/polexpr-ref.html new file mode 100644 index 0000000000..9f3767c48d --- /dev/null +++ b/macros/generic/polexpr/polexpr-ref.html @@ -0,0 +1,2898 @@ + + + + + + + + + polexpr reference — polexpr 0.8.7 documentation + + + + + + +
+
+
+
+ +
+

polexpr reference

+
+

Syntax overview via examples

+

The syntax to define a new polynomial is:

+
\poldef polname(x):= expression in variable x;
+
+
+

The expression will be parsed by the services of xintexpr, with some +polynomial aware functions added to its syntax; they are described in +detail below. The parser accepts and will handle +exactly arbitrarily big integers or fractions.

+
+

Note

+

xintexpr does not automatically reduce fractions to lowest terms, +and, so far (but this may change in future) neither does \poldef. +See rdcoeffs() and the macro +\PolReduceCoeffs.

+
+
    +
  • In place of x an arbitrary dummy variable is authorized, +i.e. per default one a, .., z, A, .., Z (more letters can be declared +under Unicode engines).

  • +
  • polname consists of letters, digits, and also the _ and +' characters are allowed. The polynomial name must start with +a letter: do not use the underscore _ as first character of a +polynomial name (even if of catcode letter). No warning is emitted +but dire consequences will ensue. The @ is also allowed +(independently of its catcode “letter†or “otherâ€, which does not +matter). It is recommended to avoid using it as first character, +except for temporary polynomial variables.

  • +
  • The colon before the equality sign is optional and its (reasonable) +catcode does not matter.

  • +
  • The semi-colon at the end of the expression is mandatory. It is not +allowed to arise from expansion (despite the fact that the expression +itself will be parsed using only expansion), it must be “visible†+immediately.

  • +
+

There are some potential problems (refer to the Technicalities section at +bottom of this page) with the semi-colon as expression terminator, so an +alternative syntax is provided, which avoids it altogether:

+
\PolDef[optional letter]{<polname>}{<expr. using letter as indeterminate>}
+
+
+

The \PolDef optional first argument defaults to x and must be +used as the indeterminate in the expression.

+

Examples:

+

\poldef f(x):= 1 - x + quo(x^5,1 - x + x^2);

+
+
\PolDef{f}{1 - x + quo(x^5,1 - x + x^2)}

Both parse the polynomial +expression, and they create internally macros serving to +incarnate the polynomial, its coefficients, and the associated +polynomial function.

+

The polynomial can then be used in further polynomial definitions, +be served as argument to package macros, or appear as a variable in +various functions described later.

+
+

Warning

+

Both the function quo() (as shown in the example above), and +the infix operator / are mapped to the Euclidean quotient.

+

This usage of / to stand for the Euclidean quotient is +deprecated and reserved for a (somewhat improbable) possible +extension of the package to handle rational functions as well.

+
+
+

Attention

+

Tacit multiplication rules let the parser when encountering +1/2 x^2 skip the space and thus handle it as 1/(2*x^2). +But then it gives zero, because / stands for the Euclidean +quotient operation here.

+

Thus one must use (1/2)x^2 or 1/2*x^2 or +(1/2)*x^2 for disambiguation: x - 1/2*x^2 + 1/3*x^3.... It is +simpler to move the denominator to the right: x - x^2/2 + +x^3/3 - ....

+

It is worth noting that 1/2(x-1)(x-2) suffers the same issue: +xintexpr‘s tacit multiplication always “ties moreâ€, hence this +gets interpreted as 1/(2*(x-1)*(x-2)) not as +(1/2)*(x-1)*(x-2) and then gives zero by +polynomial division. Thus, in such cases, use one of +(1/2)(x-1)(x-2), 1/2*(x-1)(x-2) or (x-1)(x-2)/2.

+
+

\poldef P(x):=...; defines P as a polynomial function, +which can be used inside \xinteval, as:

+
\xinteval{P(3 + 7 + 11)}
+
+
+

or even as:

+
\xinteval{P(Q1 + Q2 + Q3)}
+
+
+

where Q1, Q2, Q3 are polynomials. The evaluation result, +if not a scalar, will then be printed as pol([c0,c1,...]) which +stands for a polynomial variable having the listed coefficients; see +pol().

+

Indeed, as seen above with Q1, the symbol P also stands for +a variable of polynomial type, which serves as argument to +polynomial specific functions such as deg() or +polgcd(), or as argument to other polynomials (as +above), or even simply stands for its own in algebraic expressions +such as:

+
\poldef Q(z):= P^2 + z^10;
+
+
+

Notice that in the above, the (z) part is mandatory, as it informs +\poldef of the letter used for the indeterminate. In the above +P(z)^2 would give the same as P^2 but the latter is slightly +more efficient.

+

One needs to acquire a good understanding of when the symbol P +will stand for a function and when it will stand for a variable.

+
    +
  • If P and +Q are both declared polynomials then:

    +
    (P+Q)(3)%  <--- attention, does (P+Q)*3, not P(3)+Q(3)
    +
    +
    +

    is currently evaluated as (P+Q)*3, because P+Q is not +known as a function, but only as a variable of polynomial +type. Note that evalp(P+Q,3) gives as expected +the same as P(3)+Q(3).

    +
  • +
  • Also:

    +
    (P)(3)%  <--- attention, does P*3, not P(3)
    +
    +
    +

    will compute P*3, because one can not in current xintexpr syntax +enclose a function name in parentheses: consequently it is the variable +which is used here.

    +
  • +
+

There is a meager possibility that in future some internal changes +to xintexpr would let (P)(3) actually compute P(3) and +(P+Q)(3) compute P(3) + Q(3), but note that (P)(P) will +then do P(P) and not P*P, the latter, current +interpretation, looking more intuitive. Anyway, do not rely too +extensively on tacit * and use explicit (P+Q)*(1+2) if this +is what is intended.

+
+
\PolLet{g}={f}

saves a copy of f under name g. Also usable without =.

+

Has exactly the same effect as \poldef g(x):=f; or \poldef +g(w):=f(w);.

+
+
\poldef f(z):= f^2;

redefines f in terms of itself. Prior to 0.8 one needed +the right hand side to be f(z)^2. Also, now sqr(f) is +possible (also sqr(f(x)) but not sqr(f)(x)).

+

It may look strange that an indeterminate variable is used on +left-hand-side even though it may be absent of right-hand-side, as +it seems to define f always as a polynomial function.

+

This is a legacy of pre-0.8 context.

+
+

Important

+

Note that f^2(z) or sqr(f)(z) will give a logical but +perhaps unexpected result: first f^2 is computed, then the +opening parenthesis is seen which inserts a tacit multiplication +*, so in the end it is as if the input had been f^2 * z. +Although f is both a variable and a function, f^2 is +computed as a polynomial variable and ceases being a function.

+
+
+
\poldef f(T):= f(f);

again modifies f. Here it is used both as variable and as +a function. Prior to 0.8 it needed to be f(f(T)).

+
+
\poldef k(z):= f-g(g^2)^2;

if everybody followed, this should now define the zero polynomial… +And f-sqr(g(sqr(g))) computes the same thing.

+

We can check this in a typeset document like this:

+
\poldef f(x):= 1 - x + quo(x^5,1 - x + x^2);%
+\PolLet{g}={f}%
+\poldef f(z):= f^2;%
+\poldef f(T):= f(f);%
+\poldef k(w):= f-sqr(g(sqr(g)));%
+$$f(x) = \vcenter{\hsize10cm \PolTypeset{f}} $$
+$$g(z) = \PolTypeset{g} $$
+$$k(z) = \PolTypeset{k} $$
+\immediate\write128{f(x)=\PolToExpr{f}}% ah, here we see it also
+
+
+
+
\poldef f'(x):= diff1(f);

(new at 0.8)

+
+
\PolDiff{f}{f'}

Both set f' (or any other chosen name) to the derivative +of f.

+
+

Important

+

This is not done automatically. If some new definition needs to use +the derivative of some available polynomial, that derivative +polynomial must have been previously defined: something such as +f'(3)^2 will not work without a prior definition of f'.

+

But one can now use diff1(f) for on-the-spot construction with no +permanent declaration, so here evalp(diff1(f),3)^2. And +diff1(f)^2 is same as f'^2, assuming here f' was declared +to be the derived polynomial.

+

Notice that the name diff1() is experimental and may change. Use +\PolDiff{f}{f'} as the stable interface.

+
+
+
\PolTypeset{P}

Typesets (switching to math mode if in text mode):

+
\poldef f(x):=(3+x)^5;%
+\PolDiff{f}{f'}\PolDiff{f'}{f''}\PolDiff{f''}{f'''}%
+$$f(z)   = \PolTypeset[z]{f}    $$
+$$f'(z)  = \PolTypeset[z]{f'}   $$
+$$f''(z) = \PolTypeset[z]{f''}  $$
+$$f'''(z)= \PolTypeset[z]{f'''} $$
+
+
+

See its documentation for the configurability +via macros.

+

Since 0.8 \PolTypeset accepts directly an +expression, it does not have to be a pre-declared polynomial name:

+
\PolTypeset{mul(x-i,i=1..5)}
+
+
+
+
\PolToExpr{P}

Expandably (contrarily to \PolTypeset) +produces c_n*x^n + ... + c_0 starting from the leading +coefficient. The + signs are omitted if followed by negative +coefficients.

+

This is useful for console or file output. This syntax is Maple and +PSTricks \psplot[algebraic] compatible; and also it is +compatible with \poldef input syntax, of course. See +\PolToExprCaret for configuration of the ^, for example to +use rather ** for Python syntax compliance.

+

Changed at 0.8: the ^ in output is by default of catcode 12 +so in a draft document one can use \PolToExpr{P} inside the +typesetting flow (without requiring math mode, where the * would +be funny and ^12 would only put the 1 as exponent anyhow; +but arguably in text mode the + and - are not satisfactory +for math, except sometimes in monospace typeface, and anyhow TeX is +unable to break the expression across lines, barring special help).

+

See \PolToExpr{<pol. expr.>} and related macros for customization.

+

Extended at 0.8 to accept as argument not only the name of a +polynomial variable but more generally any polynomial expression.

+
+
+
+
+

Using defined polynomials in floating point context

+

Exact manipulations with fractional coefficients may quickly lead to +very large denominators. For numerical evaluations, it is advisable +to a use a floating point context. But for the polynomial to be +usable as a function in floating point context, an extra step beyond +\poldef is required: see \PolGenFloatVariant. Then the +\xintfloateval macro from xintexpr will recognize the polynomial +as a genuine function (with already float-rounded coefficients, and +using a Horner scheme).

+

But \PolGenFloatVariant must be used each time the polynomial gets +redefined or a new polynomial is created out of it. Functions such as +for example deg() which handle the polynomial as an entity +are only available within the \poldef and \xinteval (or +\xintexpr) parsers. Inside \xintfloateval a polynomial can only +serve as a numerical function (and only after declaration via +\PolGenFloatVariant), and not as a variable.

+

In some cases one may wish to replace a polynomial having acquired +very big fractional coefficients with a new one whose coefficients +have been float-rounded. See \PolMapCoeffs +which can be used for example with the \xintFloat macro from the +xintfrac package to achieve this.

+
+
+

The polexpr 0.8 extensions to the \xintexpr syntax

+

All the syntax elements described in this section can be used in the +\xintexpr/\xinteval context (where polynomials can be obtained from +the pol([]) constructor, once polexpr is loaded): their usage is +not limited to only \poldef context.

+
+

Note

+

If a variable myPol defined via \xintdefvar turns out +to be a polynomial, the difference with those declared via \poldef +will be:

+
    +
  1. myPol is not usable as function, but only as a variable. +Attention that f(x) if f is only a variable (even a +polynomial one) will actually compute f * x.

  2. +
  3. myPol is not known to the polexpr package, hence for example the +macros to achieve localization of its roots are unavailable.

    +

    In a parallel universe I perhaps have implemented this expandably +which means it could then be accessible with syntax such as +rightmostroot(pol([42,1,34,2,-8,1])) but…

    +
  4. +
+
+
+

Warning about unstability of the new syntax

+
+

Warning

+

Consider the entirety of this section as UNSTABLE and +EXPERIMENTAL (except perhaps regarding +, - and *).

+

And this applies even to items not explicitly flagged with one of +unstable, Unstable, or UNSTABLE which only reflect that +documentation was written over a period of time exceeding one minute, +enough for the author mood changes to kick in.

+

It is hard to find good names at the start of a life-long extension +program of functionalities, and perhaps in future it will be +preferred to rename everything or give to some functions other +meanings. Such quasi-complete renamings happened already a few times +during the week devoted to development.

+
+
+
+

Infix operators +, -, *, /, **, ^

+
+

As has been explained in the Syntax overview via examples +section these infix operators have been made polynomial aware, not +only in the \poldef context, but generally in any +\xintexpr/\xinteval context, inclusive of \xintdeffunc.

+

Conversely functions declared via \xintdeffunc and making use of +these operators will automatically be able to accept polynomials +declared from \poldef as variables.

+

Usage of / for euclidean division of polynomials is deprecated. +Only in case of a scalar denominator is it to be considered stable. +Please use rather quo().

+
+
+
+

Experimental infix operators //, /:

+
+

Here is the tentative behaviour of A//B according to types:

+
    +
  • A non scalar and B non scalar: euclidean quotient,

  • +
  • A scalar and B scalar: floored division,

  • +
  • A scalar and B non scalar: produces zero,

  • +
  • A non scalar and B scalar: coefficient per +coefficient floored division.

  • +
+

This is an experimental overloading of the // and /: +from \xintexpr.

+

The behaviour in the last case, but not only, is to be considerd +unstable. The alternative would be for A//B with B +scalar to act as quo(A,B). But, we have currently chosen to let +//B for a scalar B act coefficient-wise on the numerator. +Beware that it thus means it can be employed with the idea of doing +euclidean division only by checking that B is non-scalar.

+

The /: operator provides the associated remainder so always +A is reconstructed from (A//B)*B + A/:B.

+

If : is active character use /\string: (it is safer to use +/\string : if it is not known if : has catcode other, letter, +or is active, but note that /: is fine and needs no precaution if +: has catcode letter, it is only an active : which is +problematic, like for all other characters possibly used in an +expression).

+
+

UNSTABLE

+

As explained above, there are (among other things) hesitations +about behaviour with pol2 a scalar.

+
+
+
+
+

Comparison operators <, >, <=, >=, ==, !=

+
+

NOT YET IMPLEMENTED

+

As the internal representation by xintfrac and xintexpr of +fractions does not currently require them to be in reduced terms, +such operations would be a bit costly as they could not benefit from +the \pdfstrcmp engine primitive. In fact xintexpr does not use +it yet anywhere, even for normalized pure integers, although it could +speed up signifcantly certain aspects of core arithmetic.

+

Equality of polynomials can currently be tested by computing the +difference, which is a bit costly. And of course the deg() +function allows comparing degrees. In this context note the +following syntax:

+
(deg(Q)) ?? { zero } { non-zero scalar } { non-scalar }
+
+
+

for branching.

+
+
+
+

pol(<nutple expression>)

+
+

This converts a nutple [c0,c1,...,cN] into the polynomial +variable having these coefficients. Attention that the square +brackets are mandatory, except of course if the argument is +actually an expression producing such a “nutpleâ€.

+
+

Currently, this process will not normalize the coefficients (such +as reducing to lowest terms), it only trims out the leading zero +coefficients.

+
+

Inside \xintexpr, this is the only (allowed) way to create ex +nihilo a polynomial variable; inside \poldef it is an alternative +input syntax which is more efficient than the input c0 + c1 * x + c2 * +x^2 + ....

+
+
+

Important

+

Whenever an expression with polynomials collapses to a constant, it +becomes a scalar. There is currently no distinction during the +parsing of expressions by \poldef +or \xintexpr between constant polynomial variables and scalar +variables.

+

Naturally, \poldef can be used to declare a constant polynomial +P, then P can also be used as function having a value +independent of argument, but as a variable, it is non-distinguishable +from a scalar (of course functions such as deg() tacitly +consider scalars to be constant polynomials).

+

Notice that we tend to use the vocable “variable†to refer to +arbitrary expressions used as function arguments, without implying +that we are actually referring to pre-declared variables in the sense +of \xintdefvar.

+
+
+
+

lpol(<nutple expression>)

+
+

This converts a nutple [cN,...,c1,c0] into the polynomial +variable having these coefficients, with leading coefficients coming +first in the input. Attention that the square brackets are +mandatory, except of course if the argument is actually an +expression producing such a “nutpleâ€.

+
+

Currently, this process will not normalize the coefficients (such +as reducing to lowest terms), it only trims out the leading zero +coefficients.

+

NAME UNSTABLE

+
+

It can be used in \poldef as an alternative input syntax, which +is more efficient than using the algebraic notation with monomials.

+

(new with 0.8.1, an empty nutple will cause breakage)

+
+
+
+

\xinteval{<pol. expr.>}

+
+

This is documented here for lack of a better place: it evaluates the +polynomial expression then outputs the “string†pol([c0, c1, ..., cN]) +if the degree N is at least one (and the usual scalar output else).

+

The “pol†word uses letter catcodes, which is actually mandatory for +this output to be usable as input, but it does not make sense to use +this inside \poldef or \xintexpr at it means basically +executing pol(coeffs(..expression..)) which is but a convoluted +way to obtain the same result as (..expression..) (the +parentheses delimiting the polynomial expression).

+

For example, \xinteval{(1+pol([0,1]))^10} expands (in two steps) +to:

+
pol([1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1])
+
+
+

You do need loading polexpr for this, else of course pol([]) +remains unknown to \xinteval{} as well as the polynomial algebra ! +This example can also be done as +\xinteval{subs((1+x)^10,x=pol([0,1]))}.

+

I hesitated using as output the polynomial notation as produced by +\PolToExpr{}, but finally opted for this.

+
+
+
+

evalp(<pol. expr.>, <pol. expr>)

+
+

Evaluates the first argument as a polynomial function of the +second. Usually the second argument will be scalar, but this is not +required:

+
\poldef K(x):= evalp(-3x^3-5x+1,-27x^4+5x-2);
+
+
+

If the first argument is an already declared polynomial P, use +rather the functional form P() (which can accept a numerical as +well as polynomial argument) as it is more efficient.

+

One can also use subs() syntax [1] (see xintexpr documentation):

+
\poldef K(x):= subs(-3y^3-5y+1, y = -27x^4+5x-2);
+
+
+

but the evalp() will use a Horner evaluation scheme which is +usually more efficient.

+ +
+

name unstable

+

poleval? evalpol? peval? evalp? value? +eval? evalat? eval1at2? evalat2nd?

+

Life is so complicated when one asks questions. Not everybody does, +though, as is amply demonstrated these days.

+

syntax unstable

+

I am hesitating about permuting the order of the arguments.

+
+
+
+
+

deg(<pol. expr.>)

+
+

Computes the degree.

+
+
+

Important

+

As \xintexpr does not yet support infinities, the degree of +the zero polynomial is -1. Beware that this breaks additivity +of degrees, but deg(P)<0 correctly detects the zero polynomial, +and deg(P)<=0 detects scalars.

+
+
+
+

coeffs(<pol. expr.>)

+
+

Produces the nutple [c0,c1,...,cN] of coefficients. The highest +degree coefficient is always non zero (except for the zero +polynomial…).

+
+

name unstable

+

I am considering in particular using polcoeffs() to avoid +having to overload coeffs() in future when matrix type +will be added to xintexpr.

+
+
+
+
+

lcoeffs(<pol. expr.>)

+
+

Produces the nutple [cN,....,c1,c0] of coefficients, starting +with the highest degree coefficient.

+

(new with 0.8.1)

+
+
+
+

coeff(<pol. expr.>, <num. expr.>)

+
+

As expected. Produces zero if the numerical index is negative or +higher than the degree.

+
+

name, syntax and output unstable

+

I am hesitating with coeff(n,pol) syntax and also perhaps using +polcoeff() in order to avoid having to overload coeff() +when matrix type will be added to xintexpr.

+

The current behaviour is at odds with legacy +\PolNthCoeff{<polname>}{<index>} regarding negative indices. +Accessing leading or sub-leading coefficients can be done with +other syntax, see lc(<pol. expr.>), and in some contexts it +is useful to be able to rely on the fact that coefficients with +negative indices do vanish, so I am for time being maintaining this.

+
+
+
+
+

lc(<pol. expr.>)

+
+

The leading coefficient. The same result can be obtained from +coeffs(pol)[-1], which shows also how to generalize to access +sub-leading coefficients. See the xintexpr documentation for +Python-like indexing syntax.

+
+
+
+

monicpart(<pol. expr.>)

+
+

Divides by the leading coefficient, except that monicpart(0)==0.

+
+

unstable

+

Currently the coefficients are reduced to lowest terms (contrarily +to legacy behaviour of \PolMakeMonic), and +additionally the xintfrac \xintREZ macro is applied which +extracts powers of ten from numerator or denominator and stores +them internally separately. This is generally beneficial to +efficiency of multiplication.

+
+
+
+
+

cont(<pol. expr.>)

+
+

The (fractional) greatest common divisor of the polynomial +coefficients. It is always produced as an irreducible (non-negative) +fraction. According to Gauss theorem the content of a product is the +product of the contents.

+
+

name and syntax unstable

+

At 0.8 it was created as icontent() to match the legacy +macro \PolIContent, whose name in 2018 was +chosen in relation to Maple’s function icontent(), possibly +because at that time I had not seen that Maple also had a +content() function. Name changed at 0.8.1.

+

It will change syntax if in future multivariate polynomials are +supported, and icontent() will then make a come-back.

+
+
+
+
+

primpart(<pol. expr.>)

+
+

The quotient (except for the zero polynomial) by +cont(<pol. expr.>). This is thus a polynomial with +integer coefficients having 1 as greatest common divisor. The +sign of the leading coefficient is the same as in the original.

+

And primpart(0)==0.

+

The trailing zeros of the integer coefficients are extracted +into a power of ten exponent part, in the internal representation.

+
+
+
+

quorem(<pol. expr.>, <pol. expr.>)

+
+

Produces a nutple [Q,R] with Q the euclidean quotient and +R the remainder.

+
+

name unstable

+

poldiv()?

+
+
+
+
+

quo(<pol. expr.>, <pol. expr.>)

+
+

The euclidean quotient.

+

The deprecated pol1/pol2 syntax computes the same polynomial.

+
+
+
+

rem(<pol. expr.>, <pol. expr.>)

+
+

The euclidean remainder. If pol2 is a (non-zero) scalar, this is +zero.

+

There is no infix operator associated to this, for lack of evident +notation. Please advise.

+

/: can be used if one is certain that pol2 is of +degree at least one. But read the warning about it being unstable +even in that case.

+
+
+
+

prem(<pol. expr. 1>, <pol. expr. 2>)

+
+

Produces a nutple [m, spR] where spR is the (special) pseudo +Euclidean remainder. Its description is:

+
    +
  • the standard euclidean remainder R is spR/m

  • +
  • m = b^f with b equal to the absolute value of the +leading coefficient of pol2,

  • +
  • f is the number of non-zero coefficients in the euclidean +quotient, if deg(pol2)>0 (even if the remainder vanishes).

    +

    If pol2 is a scalar however, the function outputs [1,0].

    +
  • +
+

With these definitions one can show that if both pol1 and +pol2 have integer coefficients, then this is also the case of +spR, which makes its interest (and also m*Q has integer +coefficients, with Q the euclidean quotient, if deg(pol2)>0). +Also, prem() is computed faster than rem() for such integer +coefficients polynomials.

+
+

Hint

+

If you want the euclidean quotient R evaluated via spR/m +(which may be faster, even with non integer coefficients) use +subs(last(x)/first(x),x=prem(P,Q)) syntax as it avoids +computing prem(P,Q) twice. This does the trick both in +\poldef or in \xintdefvar.

+

However, as is explained in the xintexpr documentation, using +such syntax in an \xintdeffunc is (a.t.t.o.w) illusory, due to +technicalities of how subs() gets converted into nested +expandable macros. One needs an auxiliary function like this:

+
\xintdeffunc lastoverfirst(x):=last(x)/first(x);
+\xintdeffunc myR(x)=lastoverfirst(prem(x));
+
+
+

Then, myR(pol1,pol2) will evaluate prem(pol1,pol2) only +once and compute a polynomial identical to the euclidean +remainder (internal representations of coefficients may differ).

+
+

In this case of integer coefficients polynomials, the polexpr +internal representation of the integer coefficients in the pseudo +remainder will be with unit denominators only if that was already the +case for those of pol1 and pol2 (no automatic reduction to +lowest terms is made prior or after computation).

+

Pay attention here that b is the absolute value of the +leading coefficient of pol2. Thus the coefficients of the +pseudo-remainder have the same signs as those of the standard +remainder. This diverges from Maple’s function with the same name.

+
+
+
+

divmod(<pol. expr. 1>, <pol. expr. 2>)

+
+

Overloads the scalar divmod() and associates it with the +experimental // and /: as extended to the polynomial type.

+

In particular when both pol1 and pol2 are scalars, this is +the usual divmod() (as in Python) and for pol1 and pol2 +non constant polynomials, this is the same as quorem().

+
+

Highly unstable overloading of \xinteval‘s divmod().

+
+
+
+
+

mod(<pol. expr. 1>, <pol. expr. 2>)

+
+

The R of the divmod() output. Same as R of quorem() +when the second argument pol2 is of degree at least one.

+
+

Highly unstable overloading of \xinteval‘s mod().

+
+
+
+
+

polgcd(<pol. expr. 1>, <pol. expr. 2>, ...)

+
+

Evaluates to the greatest common polynomial divisor of all the +polynomial inputs. The output is a primitive (in particular, +with integer coefficients) polynomial. It is zero if and only if all +inputs vanish.

+

Attention, there must be either at least two polynomial variables, or +alternatively, only one argument which then must be a bracketed list +or some expression or variable evaluating to such a “nutple†whose +items are polynomials (see the documentation of the scalar gcd() +in xintexpr).

+
+

The two variable case could (and was, during development) have been +defined at user level like this:

+
\xintdeffunc polgcd_(P,Q):=
+  (deg(Q))??{P}{1}{polgcd_(Q,primpart(last(prem(P,Q))))};
+\xintdeffunc polgcd(P,Q):=polgcd_(primpart(P),primpart(Q));%
+
+
+

This is basically what is done internally for two polynomials, up +to some internal optimizations.

+
+

UNSTABLE

+

I hesitate between returning a primitive or a monic polynomial. +Maple returns a primitive polynomial if all inputs [2] have integer +coefficients, else it returns a monic polynomial, but this is +complicated technically for us to add such a check and would add +serious overhead.

+

Internally, computations are done using primitive +integer-coefficients polynomials (as can be seen in the function +template above). So I decided finally to output a primitive +polynomial, as one can always apply monicpart() to it.

+

Attention that this is at odds with behaviour of the legacy +\PolGCD (non expandable) macro.

+ +
+
+
+

resultant(<pol. expr. 1>, <pol. expr. 2>)

+
+

The resultant.

+
+

NOT YET IMPLEMENTED

+
+
+
+
+

disc(<pol. expr.>)

+
+

The discriminant.

+
+

NOT YET IMPLEMENTED

+
+
+
+
+

polpowmod(<pol. expr. 1>, <num. expr.>, <pol. expr. 2>)

+
+

Modular exponentiation: mod(pol1^N, pol2) in a more efficient +manner than first computing pol1^N then reducing modulo pol2.

+

Attention that this is using the mod() operation, whose current +experimental status is as follows:

+
    +
  • if deg(pol2)>0, the euclidean remainder operation,

  • +
  • if pol2 is a scalar, coefficient-wise reduction modulo pol2.

  • +
+

UNSTABLE

+
+

This is currently implemented at high level via \xintdeffunc and +recursive definitions, which were copied over from a scalar example +in the xintexpr manual:

+
\xintdeffunc polpowmod_(P, m, Q) :=
+       isone(m)?
+           % m=1: return P modulo Q
+           {   mod(P,Q)  }
+           % m > 1: test if odd or even and do recursive call
+           {   odd(m)? {  mod(P*sqr(polpowmod_(P, m//2, Q)), Q) }
+                       {  mod(  sqr(polpowmod_(P, m//2, Q)), Q) }
+            }
+         ;%
+\xintdeffunc polpowmod(P, m, Q) := (m)?{polpowmod_(P, m, Q)}{1};%
+
+
+

Negative exponents are not currently implemented.

+

For example:

+
\xinteval{subs(polpowmod(1+x,100,x^7),x=pol([0,1]))}
+\xinteval{subs(polpowmod(1+x,20,10), x=pol([0,1]))}
+
+
+

produce respectively:

+
pol([1, 100, 4950, 161700, 3921225, 75287520, 1192052400])
+pol([1, 0, 0, 0, 5, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0, 4, 5, 0, 0, 0, 1])
+
+
+
+
+
+
+

rdcoeffs(<pol. expr.>)

+
+

This operates on the internal representation of the coefficients, +reducing them to lowest terms.

+
+

name HIGHLY undecided

+
+
+
+
+

rdzcoeffs(<pol. expr.>)

+
+

This operates on the internal representation of the coefficients, +reducing them to lowest terms then extracting from numerator +or denominator the maximal power of ten to store as a decimal +exponent.

+

This is sometimes favourable to more efficient polynomial algebra +computations.

+
+

name HIGHLY undecided

+
+
+
+
+

diff1(<pol. expr.>)

+
+

The first derivative.

+
+

name UNSTABLE

+

This name may be used in future to be the partial derivative with +respect to a first variable.

+
+
+
+
+

diff2(<pol. expr.>)

+
+

The second derivative.

+
+

name UNSTABLE

+

This name may be used in future to be the partial derivative with +respect to a second variable.

+
+
+
+
+

diffn(<pol. expr. P>, <num. expr. n>)

+
+

The nth derivative of P. For n<0 computes iterated primitives +vanishing at the origin.

+

The coefficients are not reduced to lowest terms.

+
+

name and syntax UNSTABLE

+

I am also considering reversing the order of the arguments.

+
+
+
+
+

antider(<pol. expr. P>)

+
+

The primitive of P with no constant term. Same as diffn(P,-1).

+
+
+
+

intfrom(<pol. expr. P>, <pol. expr. c>)

+
+

The primitive of P vanishing at c, i.e. \int_c^x P(t)dt.

+

Also c can be a polynomial… so if c is monomial x +this will give zero!

+
+

UNSTABLE

+

Allowing general polynomial variable for c adds a bit of +overhead to the case of a pure scalar. So I am hesitating +maintaining this feature whose interest appears dubious.

+
+
+

Attention

+

As the two arguments are both allowed to be polynomials, if by +inadvertance one exchanges the two, there is no error but the +meaning of intfrom(c,P) is completely otherwise, as it +produces c*(x - P) if c is a scalar:

+
>>> &pol
+pol mode (i.e. function definitions use \poldef)
+>>> P(x):=1+x^2;
+P = x^2+1
+    --> &GenFloat(P) lets P become usable as function in fp mode
+    --> &ROOTS(P) (resp. &ROOTS(P,N)) finds all rational roots exactly and
+        all irrational roots with at least 10 (resp. N) fractional digits
+>>> intfrom(P,1);
+@_1     pol([-4/3, 1, 0, 1/3])
+>>> intfrom(1,P);
+@_2     pol([-1, 1, -1])
+>>> &bye
+
+
+
+
+
+
+

integral(<pol. expr. P>, [<pol. expr. a>, <pol. expr. b>])

+
+

\int_a^b P(t)dt.

+
+

Warning

+

The brackets here are not denoting an optional argument but a +mandatory nutple argument [a, b] with two items. No real +recoverable-from error check is done on the input syntax. The +input can be an xintexpr variable which happens to be a nutple +with two items, or any expression which evaluates to such a +nutple.

+
+

a and b are not restricted to be scalars, they are allowed to +be themselves polynomial variables or even polynomial expressions.

+
+

To compute \int_{x-1}^x P(t)dt it is more efficient to use +intfrom(x-1).

+

Similary to compute \int_x^{x+1} P(t)dt, use -intfrom(x+1).

+

UNSTABLE

+

Am I right to allow general polynomials a and b hence add +overhead to the pure scalar case ?

+
+
+
+
+
+

Non-expandable macros

+
+

Note

+

At 0.8 polexpr is usable with Plain TeX and not only with +LaTeX. Some examples given in this section may be using LaTeX syntax +such as \renewcommand.

+
+
+

\poldef polname(letter):= expression using the letter as indeterminate;

+
+

This evaluates the polynomial expression and stores the +coefficients in a private structure accessible later via other +package macros, used with argument polname. Of course the +expression can make use of previously defined polynomials.

+

Polynomial names must start with a letter and are constituted of +letters, digits, underscores and the right tick '.

+

The whole xintexpr syntax is authorized, as long as the final +result is of polynomial type:

+
\poldef polname(z) := add((-1)^i z^(2i+1)/(2i+1)!, i = 0..10);
+
+
+

With fractional coefficients, beware the tacit multiplication issue.

+

Furthermore:

+
    +
  • a variable polname is defined which can be used in \poldef +as well as in \xinteval for algebraic computations or as +argument to polynomial aware functions,

  • +
  • a function polname() is defined which can be used in \poldef +as well as in \xinteval. It accepts there as argument scalars +and also other polynomials (via their names, thanks to previous +item).

  • +
+

Notice that any function defined via \xintdeffunc and using +only algebraic operations (and ople indexing or slicing operations) +should work fine in \xintexpr/\xinteval with such polynomial +names as argument.

+

In the case of a constant polynomial, the xintexpr variable (not the +internal data structure on which the package macros operate) +associated to it is indistinguishable from a scalar, it is actually +a scalar and has lost all traces from its origins as a polynomial +(so for example can be used as argument to the cos() function).

+

The function on the other hand remains a one-argument function, +which simply has a constant value.

+
+

Attention

+

The function polname() is defined only for +\xintexpr/\xinteval +context. It will be unknown to \xintfloateval.

+

Worse, a +previously existing floating point function of the same name will +be let undefined again, to avoid hard to debug mismatches between +exact and floating point polynomials. This also applies when the +polynomial is produced not via \poldef or \PolDef but +as result of usage of the other package macros.

+

See \PolGenFloatVariant{<polname>} to generate a function +usable in \xintfloateval.

+
+
+

Attention

+

Using the variable mypol inside \xintfloateval will +generate low-level errors because the infix operators there are +not polynomial-aware, and the polynomial specific functions such +as deg() are only defined for usage inside \xintexpr.

+

In short, currently polynomials defined via polexpr can +be used in floating point context only for numerical evaluations, +via functions obtained from \PolGenFloatVariant{<polname>} +usage.

+

Changes to the original polynomial via package macros are not +automatically mapped to the numerical floating point evaluator +which must be manually updated as necessary when the original +rational coefficient polynomial is modified.

+
+

The original expression is lost after parsing, and in particular the +package provides no way to typeset it (of course the package +provides macros to typeset the computed polynomial). Typesetting +the original expression has to be done manually, if needed.

+
+
+
+

\PolDef[<letter>]{<polname>}{<expr. using the letter as indeterminate>}

+
+

Does the same as \poldef in an undelimited macro +format, the main interest is to avoid potential problems with the +catcode of the semi-colon in presence of some packages. In absence +of a [<letter>] optional argument, the variable is assumed to be +x.

+
+
+
+

\PolGenFloatVariant{}

+

Syntax: \PolGenFloatVariant{<polname>}

+
+

Makes the polynomial also usable in the +\xintfloatexpr/\xintfloateval parser. It will therein evaluates +via an Horner scheme using polynomial coefficients already +pre-rounded to the float precision.

+

See also \PolToFloatExpr{<pol. expr.>}.

+
+

Attention

+

Any operation, for example generating the derivative polynomial, +or dividing two polynomials or using the \PolLet, must be +followed by explicit usage of \PolGenFloatVariant{<polname>} if +the new polynomial is to be used in \xintfloateval.

+
+
+
+
+

\PolTypeset{}

+

Syntax: \PolTypeset{<pol. expr.>}

+
+

Typesets in descending powers, switching to math mode if in text +mode, after evaluating the polynomial expression:

+
\PolTypeset{mul(x-i,i=1..5)}% possible since polexpr 0.8
+
+
+

The letter used in the input expression is by default x, +but can be modified by a redefinition of \PolToExprInVar.

+

It uses also by default the letter x on output but this one can +be changed via an optional argument:

+
\PolTypeset[z]{polname or polynomial expression}
+
+
+

By default zero coefficients are skipped (use \poltypesetalltrue +to get all of them in output).

+

The following macros (whose meanings will be found in the package code) +can be re-defined for customization. Their default definitions are +expandable, but this is not a requirement.

+
+
+

\PolTypesetCmd{}

+

Syntax: \PolTypesetCmd{<raw_coeff>}

+
+

Its package definition checks if the coefficient is 1 or -1 +and then skips printing the 1, except for the coefficient of +degree zero. Also it sets the conditional deciding behaviour of +\PolIfCoeffIsPlusOrMinusOne{T}{F}.

+

The actual printing of the coefficients, when not equal to plus or +minus one, is handled by \PolTypesetOne{<raw_coeff>}.

+
+
+
\PolIfCoeffIsPlusOrMinusOne{}{}
+

Syntax: \PolIfCoeffIsPlusOrMinusOne{T}{F}

+
+

This macro is a priori undefined.

+

It is defined via the default \PolTypesetCmd{<raw_coeff>} to be +used if needed in the execution of \PolTypesetMonomialCmd, +e.g. to insert a \cdot in front of \PolVar^{\PolIndex} if +the coefficient is not plus or minus one.

+

The macro will execute T if the coefficient has been found to be +plus or minus one, and F if not. It chooses expandably between +T and F.

+
+
+
+
+

\PolTypesetOne{}

+

Syntax: \PolTypesetOne{<raw_coeff>}

+
+

Defaults to \xintTeXsignedFrac (LaTeX) or \xintTeXsignedOver +(else). But these xintfrac old legacy macros are a bit +annoying as they insist in exhibiting a power of ten rather than +using simpler decimal notation.

+

As alternative, one can do definitions such as:

+
\def\PolTypesetOne#1{\xintDecToString{\xintREZ{#1}}}
+% or with LaTeX+siunitx for example
+\renewcommand\PolTypesetOne[1]{\num{\xintPFloat[5]{#1}}}
+% (as \num of siunitx understands floating point notation)
+\renewcommand\PolTypesetOne[1]{\num{\xintRound{4}{#1}}}
+
+
+
+
+
+

\PolTypesetMonomialCmd

+
+

This decides how a monomial (in variable \PolVar and with +exponent \PolIndex) is to be printed. The default does nothing +for the constant term, \PolVar for the first degree and +\PolVar^{\PolIndex} for higher degrees monomials. Beware that +\PolIndex expands to digit tokens and needs termination in +\ifnum tests.

+
+
+
+

\PolTypesetCmdPrefix{}

+

Syntax: \PolTypesetCmdPrefix{<raw_coeff>}

+
+

Expands to a + if the raw_coeff is zero or positive, and to +nothing if raw_coeff is negative, as in latter case the +\xintTeXsignedFrac (or \xintTeXsignedOver) used by +\PolTypesetCmd{<raw_coeff>} will put the - sign in front of +the fraction (if it is a fraction) and this will thus serve as +separator in the typeset formula. Not used for the first term.

+
+
+
+
+

\PolTypeset*{}

+

Syntax: \PolTypeset*{<pol. expr.>}

+
+

Typesets in ascending powers. Use [<letter>] optional argument +(after the *) to use another letter than x.

+

Extended at 0.8 to accept general expressions and not only +polynomial names. Redefine \PolToExprInVar to use in the +expression another letter than default x.

+
+
+
+

\PolLet{}={}

+

Syntax: \PolLet{<polname_2>}={<polname_1>}

+
+

Makes a copy of the already defined polynomial polname_1 to a +new one polname_2. This has the same effect as +\PolDef{<polname_2>}{<polname_1>(x)} or (better) +\PolDef{<polname_2>}{<polname_1>} but with less overhead. The += is optional.

+
+
+
+

\PolGlobalLet{}={}

+

Syntax: \PolGlobalLet{<polname_2>}={<polname_1>}

+
+

Acts globally.

+
+
+
+

\PolAssign{}\toarray{}

+

Syntax: \PolAssign{<polname>}\toarray{<\macro>}

+
+

Defines a one-argument expandable macro \macro{#1} which expands +to the (raw) #1th polynomial coefficient.

+
    +
  • Attention, coefficients here are indexed starting at 1. This is +an unfortunate legacy situation related to the original indexing +convention in xinttools arrays.

  • +
  • With #1=-1, -2, …, \macro{#1} returns leading coefficients.

  • +
  • With #1=0, returns the number of coefficients, i.e. 1 + deg f +for non-zero polynomials.

  • +
  • Out-of-range #1’s return 0/1[0].

  • +
+

See also \PolNthCoeff{<polname>}{<index>}.

+
+
+
+

\PolGet{}\fromarray{}

+

Syntax: \PolGet{<polname>}\fromarray{<\macro>}

+
+

Does the converse operation to +\PolAssign{<polname>}\toarray\macro. Each individual +\macro{<value>} gets expanded in an \edef and then normalized +via xintfrac‘s macro \xintRaw.

+

The leading zeros are removed from the polynomial.

+

(contrived) Example:

+
\xintAssignArray{1}{-2}{5}{-3}\to\foo
+\PolGet{f}\fromarray\foo
+
+
+

This will define f as would have \poldef f(x):=1-2x+5x^2-3x^3;.

+
+
+
+

\PolFromCSV{}{}

+

Syntax: \PolFromCSV{<polname>}{<csv>}

+
+

Defines a polynomial directly from the comma separated list of values +(or a macro expanding to such a list) of its coefficients, the first +item gives the constant term, the last item gives the leading +coefficient, except if zero, then it is dropped (iteratively). List +items are each expanded in an \edef and then put into normalized +form via xintfrac‘s macro \xintRaw.

+

As leading zero coefficients are removed:

+
\PolFromCSV{f}{0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
+
+
+

defines the zero polynomial, which holds only one coefficient.

+

See also expandable macro \PolToCSV{<polname>}.

+
+
+
+

\PolMapCoeffs{}{}

+

Syntax: \PolMapCoeffs{\macro}{<polname>}

+
+

It modifies (‘in-place’: original coefficients get lost) each +coefficient of the defined polynomial via the expandable macro +\macro. The degree is adjusted as necessary if some leading +coefficients vanish after the operation.

+

In the replacement text of \macro, \index expands to the +coefficient index (starting at zero for the constant term).

+

Notice that \macro will have to handle inputs in the xintfrac +internal format. This means that it probably will have to be +expressed in terms of macros from the xintfrac package.

+

Example:

+
\def\foo#1{\xintMul{#1}{\the\numexpr\index*\index\relax}}
+
+
+

(or with \xintSqr{\index}) to replace n-th coefficient +f_n by f_n*n^2.

+
+
+
+

\PolReduceCoeffs{}

+

Syntax: \PolReduceCoeffs{<polname>}

+
+

Reduces the internal representations of the coefficients to +their lowest terms.

+
+
+
+

\PolReduceCoeffs*{}

+

Syntax: \PolReduceCoeffs*{<polname>}

+
+

Reduces the internal representations of the coefficients to their +lowest terms, but ignoring a possible separated “power of ten partâ€.

+

For example, xintfrac stores an 30e2/50 input as 30/50 with +a separate 10^2 part. This will thus get replaced by 3e^2/5 +(or rather whatever xintfrac uses for internal representation), and +not by 60 as would result from complete reduction.

+

Evaluations with polynomials treated by this can be much faster than +with those handled by the non-starred variant +\PolReduceCoeffs{<polname>}: as the numerators and denominators +remain generally smaller.

+
+
+
+

\PolMakeMonic{}

+

Syntax: \PolMakeMonic{<polname>}

+
+

Divides by the leading coefficient. It is recommended to execute +\PolReduceCoeffs*{<polname>} immediately afterwards. This is not +done automatically, in case the original polynomial had integer +coefficients and the user wants to keep the leading one as common +denominator for typesetting purposes.

+
+
+
+

\PolMakePrimitive{}

+

Syntax: \PolMakePrimitive{<polname>}

+
+

Divides by the integer content see (\PolIContent). +This thus produces a polynomial with integer +coefficients having no common factor. The sign of the leading +coefficient is not modified.

+
+
+
+

\PolDiff{}{}

+

Syntax: \PolDiff{<polname_1>}{<polname_2>}

+
+

This sets polname_2 to the first derivative of polname_1. It +is allowed to issue \PolDiff{f}{f}, effectively replacing f +by f'.

+

Coefficients of the result polname_2 are irreducible fractions +(see Technicalities for the whole story.)

+
+
+
+

\PolDiff[]{}{}

+

Syntax: \PolDiff[N]{<polname_1>}{<polname_2>}

+
+

This sets polname_2 to the N-th derivative of polname_1. +Identical arguments is allowed. With N=0, same effect as +\PolLet{<polname_2>}={<polname_1>}. With negative N, switches to +using \PolAntiDiff.

+
+
+
+

\PolAntiDiff{}{}

+

Syntax: \PolAntiDiff{<polname_1>}{<polname_2>}

+
+

This sets polname_2 to the primitive of polname_1 vanishing +at zero.

+

Coefficients of the result polname_2 are irreducible fractions +(see Technicalities for the whole story.)

+
+
+
+

\PolAntiDiff[]{}{}

+

Syntax: \PolAntiDiff[N]{<polname_1>}{<polname_2>}

+
+

This sets polname_2 to the result of N successive integrations on +polname_1. With negative N, it switches to using \PolDiff.

+
+
+
+

\PolDivide{}{}{}{}

+

Syntax: \PolDivide{<polname_1>}{<polname_2>}{<polname_Q>}{<polname_R>}

+
+

This sets polname_Q and polname_R to be the quotient and +remainder in the Euclidean division of polname_1 by +polname_2.

+
+
+
+

\PolQuo{}{}{}

+

Syntax: \PolQuo{<polname_1>}{<polname_2>}{<polname_Q>}

+
+

This sets polname_Q to be the quotient in the Euclidean division +of polname_1 by polname_2.

+
+
+
+

\PolRem{}{}{}

+

Syntax: \PolRem{<polname_1>}{<polname_2>}{<polname_R>}

+
+

This sets polname_R to be the remainder in the Euclidean division +of polname_1 by polname_2.

+
+
+
+

\PolGCD{}{}{}

+

Syntax: \PolGCD{<polname_1>}{<polname_2>}{<polname_GCD>}

+
+

This sets polname_GCD to be the (monic) GCD of polname_1 +and polname_2. It is a unitary polynomial except if both +polname_1 and polname_2 vanish, then polname_GCD is the +zero polynomial.

+
+
+
+

Root localization routines via the Sturm Theorem

+

As \PolToSturm{<polname>}{<sturmname>} and +\PolSturmIsolateZeros{<sturmname>} and variants declare +additional polynomial or scalar variables with names based on <sturmname> as +prefix, it is advisable to keep the <sturmname> namespace separate from +the one applying to \xintexpr variables generally, or to polynomials.

+
+

\PolToSturm{}{}

+

Syntax: \PolToSturm{<polname>}{<sturmname>}

+
+

With <polname> being for example P, and <sturmname> being +for example S, the macro starts by computing the derivative +P', then computes the opposite of the remainder in the euclidean +division of P by P', then the opposite of the remainder in +the euclidean division of P' by the first obtained polynomial, +etc… Up to signs following the --++--++... pattern, these are +the same remainders as in the Euclide algorithm applied to the +computation of the GCD of P and P'.

+

The precise process differs from the above description: the +algorithm first sets S_0_ to be the primitive part of P +and S_1_ to be the primitive part of P' (see +\PolIContent{<polname>}), then at each step +the remainder is made primitive and stored for internal reference as +S_k_, so only integer-coefficients polynomials are manipulated.

+
+

Warning

+

This exact procedure will perhaps in future be replaced by a +sub-resultant algorithm, which may bring some speed gain in +obtaining a pseudo-Sturm sequence, but some experimenting is +needed, in the context of realistically realizable computations +by the package; primitive polynomials although a bit costly +have the smallest coefficients hence are the best for the kind of +computations done for root localization, after having computed a +Sturm sequence.

+
+

The last non-zero primitivized remainder S_N_ is, up to sign, +the primitive part of the GCD of P and P'. Its roots (real +and complex) are the multiple roots of the original P. The +original P was “square-free†(i.e. did not have multiple real +or complex roots) if and only if S_N_ is a constant, which is +then +1 or -1 (its value before primitivization is lost).

+

The macro then divides each S_k_ by S_N_ and declares the +quotients S_k as user polynomials for future use. By Gauss +theorem about the contents of integer-coefficients polynomials, +these S_k also are primitive integer-coefficients polynomials.

+

This step will be referred to as normalization, and in this +documentation the obtained polynomials are said to constitute the +“Sturm chain†(or “Sturm sequenceâ€), i.e. by convention the “Sturm +chain polynomials†are square-free and primitive. The possibly +non-square-free ones are referred to as non-normalized.

+

As an exception to the rule, if the original P was “square-free†+(i.e. did not have multiple real or complex roots) then +normalization is skipped (in that case S_N_ is either +1 or +-1), so S_0_ is exactly the primitive part of starting +polynomial P, in the “square-free†case.

+

The next logical step is to execute \PolSturmIsolateZeros{S} or one of its variants. Be careful not to +use the names sturmname_0, sturmname_1, etc… for defining +other polynomials after having done +\PolToSturm{<polname>}{<sturmname>} and before executing +\PolSturmIsolateZeros{<sturmname>} or its variants else the +latter will behave erroneously.

+
+

Note

+

The declaration of the S_k‘s will overwrite +with no warning previously declared polynomials with identical +names S_k. This is original reason why the macro expects two +names: <polname> and <sturmname>.

+

It is allowed to use the polynomial name P as Sturm chain +name S: \PolToSturm{f}(f}, but of course fusing the +namespaces is slightly dangerous. And, also \PolSturmIsolateZeros creates variables sharing +the <sturmname> prefix, which must be taken into account to +avoid name clashes.

+
+
+

Warning

+

The reason why the S_k‘s are declared as polynomials is +that the associated polynomial functions are needed to compute +the sign changes in the Sturm sequence evaluated at a given +location, as this is the basis mechanism of \PolSturmIsolateZeros (on the basis of the Sturm theorem).

+

It is possible that in future the package will only internally +construct such polynomial functions and only the starred variant +will make the normalized (i.e. square-free) Sturm sequence public.

+
+

The integer N giving the length of the Sturm chain S_0, +S_1, …, S_N is available as +\PolSturmChainLength{<sturmname>}. If all roots of original P +are real, then N is both the number of distinct real roots and +the degree of S_0. In the case of existence of complex roots, +the number of distinct real roots is at most N and N is at +most the degree of S_0.

+
+
+
+

\PolToSturm*{}{}

+

Syntax: \PolToSturm*{<polname>}{<sturmname>}

+
+

Does the same as un-starred version and additionally it +keeps for user usage the memory of the un-normalized (but still +made primitive) Sturm chain +polynomials sturmname_k_, k=0,1, ..., N, with +N being \PolSturmChainLength{<sturmname>}.

+
+
+
+

\PolSturmIsolateZeros{}

+

Syntax: \PolSturmIsolateZeros{<sturmname>}

+
+

The macro locates, using the Sturm Theorem, as many disjoint +intervals as there are distinct real roots.

+
+

Important

+

The Sturm chain must have been produced by an earlier +\PolToSturm{<polname>}{<sturmname>}.

+
+

After its execution they are two types of such intervals (stored in +memory and accessible via macros or xintexpr variables, see below):

+
    +
  • singleton {a}: then a is a root, (necessarily a decimal +number, but not all such decimal numbers are exactly identified yet).

  • +
  • open intervals (a,b): then there is exactly one root z +such that a < z < b, and the end points are guaranteed to not +be roots.

  • +
+

The interval boundaries are decimal numbers, originating +in iterated decimal subdivision from initial intervals +(-10^E, 0) and (0, 10^E) with E chosen initially large +enough so that all roots are enclosed; if zero is a root it is always +identified as such. The non-singleton intervals are of the +type (a/10^f, (a+1)/10^f) with a an integer, which is +neither 0 nor -1. Hence either a and a+1 are both positive +or they are both negative.

+

One does not a priori know what will be the lengths of these +intervals (except that they are always powers of ten), they +vary depending on how many digits two successive roots have in +common in their respective decimal expansions.

+
+

Important

+

If some two consecutive intervals share an end-point, no +information is yet gained about the separation between the two +roots which could at this stage be arbitrarily small.

+

See \PolRefineInterval*{<sturmname>}{<index>} which addresses +this issue.

+
+

Let us suppose <sturmname> is S.

+

The interval boundaries (and exactly found roots) are made available +for future computations in \xintexpr/xinteval or \poldef as +variables SL_1, SL_2, etc…, for the left end-points and +SR_1, SR_2, …, for the right end-points.

+

Additionally, xintexpr variable SZ_1_isknown will have value +1 if the root in the first interval is known, and 0 +otherwise. And similarly for the other intervals.

+
+

Important

+

The variable declarations are done with no check of existence of +previously existing variables with identical names.

+
+

Also, macros \PolSturmIsolatedZeroLeft{<sturmname>}{<index>} and +\PolSturmIsolatedZeroRight{<sturmname>}{<index>} are provided which +expand to these same values, written in decimal notation (i.e. +pre-processed by \PolDecToString.) And there +is also \PolSturmIfZeroExactlyKnown{<sturmname>}{<index>}{T}{F}.

+
+

Important

+

Trailing zeroes in the stored decimal numbers accessible via the +macros are significant: they are also present in the decimal +expansion of the exact root, so as to be able for example to +print out bounds of real roots with as many digits as is +significant, even if the digits are zeros.

+
+

The start of the decimal expansion of the <index>-th root is given by +\PolSturmIsolatedZeroLeft{<sturmname>}{<index>} if the root is positive, and by +PolSturmIsolatedZeroRight{<sturmname>}{<index>} if the root is neagtive. These two +decimal numbers are either both zero or both of the same sign.

+

The number of distinct roots is obtainable expandably as +\PolSturmNbOfIsolatedZeros{<sturmname>}.

+

Furthermore +\PolSturmNbOfRootsOf{<sturmname>}\LessThanOrEqualTo{<value>} and +\PolSturmNbOfRootsOf{<sturmname>}\LessThanOrEqualToExpr{<num. expr.>}. +will expandably compute respectively the number of real roots at +most equal to value or expression, and the same but with +multiplicities.

+

These variables and macros are automatically updated in case of +subsequent usage of \PolRefineInterval*{<sturmname>}{<index>} or +other localization improving macros.

+
+

Note

+

The current polexpr implementation defines the xintexpr variables +and xinttools arrays as described above with global scope. On the +other hand the Sturm sequence polynomials obey the current scope.

+

This is perhaps a bit inconsistent and may change in future.

+
+
+

Note

+

The results are exact +bounds for the mathematically exact real roots.

+

Future releases will perhaps also provide macros based on Newton +or Regula Falsi methods. Exact computations with such methods +lead however quickly to very big fractions, and this forces usage +of some rounding scheme for the abscissas if computation times +are to remain reasonable. This raises issues of its own, which +are studied in numerical mathematics.

+
+
+
+
+

\PolSturmIsolateZeros*{}

+

Syntax: \PolSturmIsolateZeros*{<sturmname>}

+
+

The macro does the same as \PolSturmIsolateZeros{<sturmname>} and +then in addition it does the extra work to determine all +multiplicities of the real roots.

+

After execution, +\PolSturmIsolatedZeroMultiplicity{<sturmname>}{<index>} expands +to the multiplicity of the root located in the index-th +interval (intervals are enumerated from left to right, with index +starting at 1).

+

Furthermore, if for example the <sturmname> is S, xintexpr +variables SM_1, SM_2… hold the multiplicities thus +computed.

+
+

Note

+

Somewhat counter-intuitively, it is not necessary to have +executed the \PolToSturm* +starred variant: during its +execution, \PolToSturm, +even though it does not declare the +non-square-free Sturm chain polynomials as user-level genuine +polynomials, stores their data in private macros.

+
+

See The degree nine polynomial with 0.99, 0.999, 0.9999 as triple +roots example in polexpr-examples.pdf.

+
+
+
\PolSturmIsolateZerosAndGetMultiplicities{}
+

Syntax: \PolSturmIsolateZerosAndGetMultiplicities{<sturmname>}

+
+

This is another name for \PolSturmIsolateZeros*{<sturmname>}.

+
+
+
+
+

\PolSturmIsolateZeros**{}

+

Syntax: \PolSturmIsolateZeros**{<sturmname>}

+
+

The macro does the same as \PolSturmIsolateZeros*{<sturmname>} and +in addition it does the extra work to determine all the rational +roots.

+
+

Note

+

After execution of this macro, a root is “known†if and only if +it is rational.

+
+

Furthermore, primitive polynomial sturmname_sqf_norr is created +to match the (square-free) sturmname_0 from which all rational +roots have been removed. The number of distinct rational roots is +thus the difference between the degrees of these two polynomials +(see also \PolSturmNbOfRationalRoots{<sturmname>}).

+

And sturmname_norr is sturmname_0_ from which all rational +roots have been removed, i.e. it contains the irrational roots of +the original polynomial, with the same multiplicities.

+

See A degree five polynomial with three rational +roots in polexpr-examples.pdf.

+
+
+
\PolSturmIsolateZerosGetMultiplicitiesAndRationalRoots
+

Syntax: \PolSturmIsolateZerosGetMultiplicitiesAndRationalRoots

+
+

This is another name for \PolSturmIsolateZeros**{<sturmname>}.

+
+
+
+
+

\PolSturmIsolateZerosAndFindRationalRoots{}

+

Syntax: \PolSturmIsolateZerosAndFindRationalRoots{<sturmname>}

+
+

This works exactly like \PolSturmIsolateZeros**{<sturmname>} +(inclusive of declaring the polynomials sturmname_sqf_norr and +sturmname_norr with no rational roots) except that it does not +compute the multiplicities of the non-rational roots.

+
+

Note

+

There is no macro to find the rational roots but not compute +their multiplicities at the same time.

+
+
+

Attention

+

This macro does not define xintexpr variables +sturmnameM_1, sturmnameM_2, … holding the +multiplicities and it leaves the multiplicity array (whose accessor +is \PolSturmIsolatedZeroMultiplicity{<sturmname>}{<index>}) into +a broken state, as all non-rational roots will supposedly have +multiplicity one. This means that the output of +\PolPrintIntervals* will be +erroneous regarding the multiplicities of irrational roots.

+

I decided to document it because finding multiplicities of the +non rational roots is somewhat costly, and one may be interested +only into finding the rational roots (of course random +polynomials with integer coefficients will not have any +rational root anyhow).

+
+
+
+
+

\PolRefineInterval*{}{}

+

Syntax: \PolRefineInterval*{<sturmname>}{<index>}

+
+

The index-th interval (starting indexing at one) is further +subdivided as many times as is necessary in order for the newer +interval to have both its end-points distinct from the end-points of +the original interval. As a consequence, the kth root is then +strictly separated from the other roots.

+
+
+
+

\PolRefineInterval[]{}{}

+

Syntax: \PolRefineInterval[N]{<sturmname>}{<index>}

+
+

The index-th interval (starting count at one) is further +subdivided once, reducing its length by a factor of 10. This is done +N times if the optional argument [N] is present.

+
+
+
+

\PolEnsureIntervalLength{}{}{}

+

Syntax: \PolEnsureIntervalLength{<sturmname>}{<index>}{<exponent>}

+
+

The index-th interval is subdivided until its length becomes at +most 10^E. This means (for E<0) that the first -E digits +after decimal mark of the kth root will then be known exactly.

+
+
+
+

\PolEnsureIntervalLengths{}{}

+

Syntax: \PolEnsureIntervalLengths{<sturmname>}{<exponent>}

+
+

The intervals as obtained from \PolSturmIsolateZeros are (if +necessary) subdivided further by (base 10) dichotomy in order for +each of them to have length at most 10^E.

+

This means that decimal expansions of all roots will be known with +-E digits (for E<0) after decimal mark.

+
+
+
+

\PolSetToSturmChainSignChangesAt{}{}{}

+

Syntax: \PolSetToSturmChainSignChangesAt{\foo}{<sturmname>}{<value>}

+
+

Sets macro \foo to store the number of sign changes in the +already computed normalized Sturm chain with name prefix +<sturmname>, at location <value> (which must be in format as +acceptable by the xintfrac macros.)

+

The definition is made with global scope. For local scope, use +[\empty] as extra optional argument.

+

One can use this immediately after creation of the Sturm chain.

+
+
+
+

\PolSetToNbOfZerosWithin{}{}{}{}

+

Syntax: \PolSetToNbOfZerosWithin{\foo}{<sturmname>}{<value_left>}{<value_right>}

+
+

Sets, assuming the normalized Sturm chain has been already computed, +macro \foo to store the number of roots of sturmname_0 in +the interval (value_left, value_right]. The macro first +re-orders end-points if necessary for value_left <= value_right +to hold.

+

In accordance to Sturm Theorem this is computed as the difference +between the number of sign changes of the Sturm chain at value_right +and the one at value_left.

+

The definition is made with global scope. For local scope, use +[\empty] as extra optional argument.

+

One can use this immediately after creation of a Sturm chain.

+

See also the expandable +\PolSturmNbOfRootsOf{<sturmname>}\LessThanOrEqualTo{value}, +which however requires prior execution of \PolSturmIsolateZeros.

+

See also the expandable +\PolSturmNbWithMultOfRootsOf{<sturmname>}\LessThanOrEqualTo{value} +which requires prior execution of +\PolSturmIsolateZeros*.

+
+
+
+
+

Displaying the found roots: \PolPrintIntervals[<varname>]{}

+

Syntax: \PolPrintIntervals[<varname>]{<sturmname>}

+
+

This is a convenience macro which prints the bounds for the roots +Z_1, Z_2, … (the optional argument varname allows to +specify a replacement for the default Z). This will be done (by +default) in a +math mode array, one interval per row, and pattern rcccl, +where the second and fourth column hold the < sign, except when +the interval reduces to a singleton, which means the root is known +exactly.

+
+

Note

+

The explanations here and in this section are for LaTeX. With +other TeX macro formats, the LaTeX syntax such as for example +\begin{array}{rcccl} which appears in the documentation here +is actually replaced with quasi-equivalent direct use of TeX +primitives.

+
+

The next macros which govern its output.

+
+
+

\PolPrintIntervalsNoRealRoots

+
+

Executed in place of an array environment, when there are no +real roots. Default definition:

+
\newcommand\PolPrintIntervalsNoRealRoots{}
+
+
+
+
+
+

\PolPrintIntervalsBeginEnv

+
+

Default definition (given here for LaTeX, Plain has a variant):

+
\newcommand\PolPrintIntervalsBeginEnv{\[\begin{array}{rcccl}}
+
+
+

A simpler center environment provides a straightforward way to +obtain a display allowing pagebreaks. Of course redefinitions must +at any rate be kept in sync with \PolPrintIntervalsKnownRoot and +\PolPrintIntervalsUnknownRoot.

+

Prior to 0.8.6 it was not possible to use here for example +\begin{align} due to the latter executing twice in contents.

+
+
+
+

\PolPrintIntervalsEndEnv

+
+

Default definition:

+
\newcommand\PolPrintIntervalsEndEnv{\end{array}\]}
+
+
+
+
+
+

\PolPrintIntervalsRowSeparator

+
+

Expands by default to \\ with LaTeX and to \cr with Plain

+

Added at 0.8.6.

+
+
+
+

\PolPrintIntervalsKnownRoot

+
+

Default definition:

+
\newcommand\PolPrintIntervalsKnownRoot{%
+  &&\PolPrintIntervalsTheVar_{\PolPrintIntervalsTheIndex}%
+  &=&\PolPrintIntervalsPrintExactZero
+}
+
+
+
+
+
+

\PolPrintIntervalsUnknownRoot

+
+

Default definition:

+
\newcommand\PolPrintIntervalsUnknownRoot{%
+  \PolPrintIntervalsPrintLeftEndPoint&<&%
+  \PolPrintIntervalsTheVar_{\PolPrintIntervalsTheIndex}&<&%
+  \PolPrintIntervalsPrintRightEndPoint
+}
+
+
+
+
+
+

\PolPrintIntervalsPrintExactZero

+
+

Default definition:

+
\newcommand\PolPrintIntervalsPrintExactZero{\PolPrintIntervalsTheLeftEndPoint}
+
+
+
+
+
+

\PolPrintIntervalsPrintLeftEndPoint

+
+

Default definition:

+
\newcommand\PolPrintIntervalsPrintLeftEndPoint{\PolPrintIntervalsTheLeftEndPoint}
+
+
+
+
+
+

\PolPrintIntervalsPrintRightEndPoint

+
+

Default definition is:

+
\newcommand\PolPrintIntervalsPrintRightEndPoint{\PolPrintIntervalsTheRightEndPoint}
+
+
+
+
+
+

\PolPrintIntervals*[<varname>]{}

+

Syntax: \PolPrintIntervals*[<varname>]{<sturmname>}

+
+

This starred variant produces an alternative output (which +displays the root multiplicity), and is provided as an +example of customization.

+

As replacement for \PolPrintIntervalsKnownRoot, +\PolPrintIntervalsPrintExactZero, +\PolPrintIntervalsUnknownRoot it uses its own +\POL@@PrintIntervals... macros. We only reproduce here one +definition:

+
\newcommand\POL@@PrintIntervalsPrintExactZero{%
+   \displaystyle
+   \xintTeXsignedFrac{\PolPrintIntervalsTheLeftEndPoint}%
+}%
+
+
+

Multiplicities are printed using this auxiliary macro:

+
+
+
\PolPrintIntervalsPrintMultiplicity
+
+

whose default definition is:

+
\newcommand\PolPrintIntervalsPrintMultiplicity{(\mbox{mult. }\PolPrintIntervalsTheMultiplicity)}
+
+
+
+
+
+
+
+
+

Expandable macros

+
+

Note

+

At 0.8 polexpr is usable with Plain TeX and not only with +LaTeX. Some examples given in this section may be using LaTeX syntax +such as \renewcommand. Convert to TeX primitives as appropriate +if testing with a non LaTeX macro format.

+
+

These macros expand completely in two steps except \PolToExpr and +\PolToFloatExpr which need a \write, \edef or a +\csname...\endcsname context.

+
+

\PolToExpr{}

+

Syntax: \PolToExpr{<pol. expr.>}

+
+

Produces expandably [3] the string coeff_N*x^N+..., i.e. the +polynomial is using descending powers.

+ +

Since 0.8 the input is not restricted to be a polynomial name but +is allowed to be an arbitrary expression. Then x is expected as +indeterminate but this can be customized via \PolToExprInVar.

+

The output uses the letter x by default, this is customizable +via \PolToExprVar. The default output is compatible both with

+
    +
  • the Maple’s input format,

  • +
  • and the PSTricks \psplot[algebraic] input format.

  • +
+

Attention that it is not compatible with Python, see further +\PolToExprCaret in this context.

+

The following applies:

+
    +
  • vanishing coefficients are skipped (issue \poltoexpralltrue to +override this and produce output such as x^3+0*x^2+0*x^1+0),

  • +
  • negative coefficients are not prefixed by a + sign (else, +Maple would not be happy),

  • +
  • coefficients numerically equal to 1 (or -1) are present +only via their sign,

  • +
  • the letter x is used and the degree one monomial is output as +x, not as x^1.

  • +
  • (0.8) the caret ^ is of catcode 12. This means that one +can for convenience typeset in regular text mode, for example +using \texttt (in LaTeX). But TeX will not know how to break +the expression across end-of-lines anyhow. Formerly ^ was +suitable for math mode but as the exponent is not braced this +worked only for polynomials of degrees at most 9. Anyhow this +is not supposed to be a typesetting macro.

  • +
+

Complete customization is possible, see the next macros. Any user +redefinition must maintain the expandability property.

+
+
+

\PolToExprVar

+
+

Defaults to x. The letter used in the macro output.

+
+
+
+

\PolToExprInVar

+
+

Defaults to x: the letter used as the polynomial indeterminate +in the macro input.

+

Recall that declared polynomials are more efficiently used in +algebraic expressions without the (x), i.e. P*Q is better +than P(x)*Q(x). Thus the input, even if an expression, does not +have to contain any x.

+

(new with 0.8)

+
+
+
+

\PolToExprTimes

+
+

Defaults to *.

+
+
+
+

\PolToExprCaret

+
+

Defaults to ^ of catcode 12. Set it to +expand to ** for Python compatible output.

+

(new with 0.8)

+
+
+
+

\PolToExprCmd{}

+

Syntax: \PolToExprCmd{<raw_coeff>}

+
+

Defaults to \xintPRaw{\xintRawWithZeros{#1}}.

+

This means that the coefficient value is printed-out as a fraction +a/b, skipping the /b part if b turns out to be one.

+

Configure it to be \xintPRaw{\xintIrr{#1}} if the fractions +must be in irreducible terms.

+

An alternative is \xintDecToString{\xintREZ{#1}} which uses +integer or decimal fixed point format such as 23.0071 if the +internal representation of the number only has a power of ten as +denominator (the effect of \xintREZ here is to remove trailing +decimal zeros). The behaviour of \xintDecToString is not yet +stable for other cases, and for example at time of writing no +attempt is made to identify inputs having a finite decimal expansion +so for example 23.007/2 or 23.007/25 can appear in output +and not their finite decimal expansion with no denominator.

+
+
+
+

\PolToExprOneTerm{}{}

+

Syntax: \PolToExprOneTerm{<raw_coeff>}{<exponent>}

+
+

This is the macro which from the coefficient and the exponent +produces the corresponding term in output, such as 2/3*x^7.

+

For its default definition, see the source code. It uses +\PolToExprCmd, \PolToExprTimes, \PolToExprVar and +\PolToExprCaret.

+
+
+
+

\PolToExprOneTermStyleA{}{}

+

Syntax: \PolToExprOneTermStyleA{<raw_coeff>}{<exponent>}

+
+

This holds the default package meaning of \PolToExprOneTerm.

+
+
+
+

\PolToExprOneTermStyleB{}{}

+

Syntax: \PolToExprOneTermStyleB{<raw_coeff>}{<exponent>}

+
+

This holds an alternative meaning, which puts the fractional part of +a coefficient after the monomial, i.e. like this:

+
2*x^11/3+3*x^8/7-x^5-x^4/4-x^3-x^2/2-2*x+1
+
+
+

\PolToExprCmd isn’t used at all in this style. But +\PolToExprTimes, \PolToExprVar and \PolToExprCaret are obeyed.

+

To activate it use \let\PolToExprOneTerm\PolToExprOneTermStyleB. +To revert to the package default behaviour, issue +\let\PolToExprOneTerm\PolToExprOneTermStyleA.

+
+
+
+

\PolToExprTermPrefix{}

+

Syntax: \PolToExprTermPrefix{<raw_coeff>}

+
+

It receives as argument the coefficient. Its default behaviour is +to produce a + if the coefficient is positive, which will thus +serve to separate the monomials in the output. This is to match +the default for \PolToExprCmd{<raw_coeff>} which in case of a +positive coefficient does not output an explicit + prefix.

+
+
+
+
+

\PolToFloatExpr{}

+

Syntax: \PolToFloatExpr{<pol. expr.>}

+
+

Similar to \PolToExpr{<pol. expr.>} but using +\PolToFloatExprCmd{<raw_coeff>} which by default rounds and +converts the coefficients to floating point format.

+
+

Note

+

This is unrelated to \PolGenFloatVariant{<polname>}: +\PolToFloatExprCmd{<raw_coeff>} operates on the exact +coefficients anew (and may thus produce something else than +the coefficients of the polynomial function acting +in \xintfloateval if the floating point precision was changed +in between).

+
+

Extended at 0.8 to accept general expressions as input.

+
+
+

\PolToFloatExprOneTerm{}{}

+

Syntax: \PolToFloatExprOneTerm{<raw_coeff>}{<exponent>}

+
+

Similar to \PolToExprOneTerm{<raw_coeff>}{<exponent>}. But does not treat +especially coefficients equal to plus or minus one.

+
+
+
+

\PolToFloatExprCmd{}

+

Syntax: \PolToFloatExprCmd{<raw_coeff>}

+
+

The one-argument macro used by \PolToFloatExprOneTerm. +It defaults to \xintPFloat{#1}, which trims trailing +zeroes.

+

changed at 0.8.2 Formerly it was using \xintFloat.

+
+
+
+
+

\PolToExpr*{}

+

Syntax: \PolToExpr*{<pol. expr.>}

+
+

Ascending powers: coeff_0+coeff_1*x+coeff_2*x^2+....

+

Extended at 0.8 to accept general expressions as input.

+

Customizable with the same macros as for +\PolToExpr{<pol. expr.>}.

+
+
+
+

\PolToFloatExpr*{}

+

Syntax: \PolToFloatExpr*{<pol. expr.>}

+
+

Ascending powers.

+

Extended at 0.8 to accept general expressions as input.

+
+
+
+

\PolNthCoeff{}{}

+

Syntax: \PolNthCoeff{<polname>}{<index>}

+
+

It expands to the raw N-th coefficient (N=0 corresponds to +the constant coefficient). If N is out of range, zero (in its +default xintfrac format 0/1[0]) is returned.

+

Negative indices N=-1, -2, … return the leading +coefficient, sub-leading coefficient, …, and finally 0/1[0] +for N<-1-degree.

+
+
+
+

\PolLeadingCoeff{}

+

Syntax: \PolLeadingCoeff{<polname>}

+
+

Expands to the leading coefficient.

+
+
+
+

\PolDegree{}

+

Syntax: \PolDegree{<polname>}

+
+

It expands to the degree. This is -1 if zero polynomial but this +may change in future. Should it then expand to -\infty ?

+
+
+
+

\PolIContent{}

+

Syntax: \PolIContent{<polname>}

+
+

It expands to the contents of the polynomial, i.e. to the positive +fraction such that dividing by this fraction produces a polynomial +with integer coefficients having no common prime divisor.

+

See \PolMakePrimitive.

+
+
+
+

\PolToList{}

+

Syntax: \PolToList{<polname>}

+
+

Expands to {coeff_0}{coeff_1}...{coeff_N} with N = degree, and +coeff_N the leading coefficient +(the zero polynomial does give {0/1[0]} and not an +empty output.)

+
+
+
+

\PolToCSV{}

+

Syntax: \PolToCSV{<polname>}

+
+

Expands to coeff_0, coeff_1, coeff_2, ....., coeff_N, starting +with constant term and ending with leading coefficient. Converse +to \PolFromCSV{<polname>}{<csv>}.

+
+
+
+

\PolEval{}\AtExpr{}

+

Syntax: \PolEval{<polname>}\AtExpr{<num. expr.>}

+
+

Same output as +\xinteval{polname(numerical expression)}.

+
+
+
+

\PolEval{}\At{}

+

Syntax: \PolEval{<polname>}\At{<value>}

+
+

Evaluates the polynomial at the given value which must be in (or +expand to) a format acceptable to the xintfrac macros.

+
+
+
+

\PolEvalReduced{}\AtExpr{}

+

Syntax: \PolEvalReduced{<polname>}\AtExpr{<num. expr.>}

+
+

Same output as \xinteval{reduce(polname(numerical expression))}.

+
+
+
+

\PolEvalReduced{}\At{}

+

Syntax: \PolEvalReduced{<polname>}\At{<value>}

+
+

Evaluates the polynomial at the value which must be in (or expand +to) a format acceptable to the xintfrac macros, and outputs an +irreducible fraction.

+
+
+
+

\PolFloatEval{}\AtExpr{}

+

Syntax: \PolFloatEval{<polname>}\AtExpr{<num. expr.>}

+
+

Same output as \xintfloateval{polname(numerical expression)}.

+
+

Attention

+

\PolGenFloatVariant must have +been issued before.

+
+

To use the exact coefficients with exactly executed additions +and multiplications and do the rounding only as the final last step, +the following syntax can be used: [4]

+
\xintfloateval{3.27*\xintexpr f(2.53)\relax^2}
+
+
+ +
+
+
+

\PolFloatEval{}\At{}

+

Syntax: \PolFloatEval{<polname>}\At{<value>}

+
+

Evaluates the polynomial at the value which must be in (or expand +to) a format acceptable to the xintfrac macros.

+
+
+
+

Expandable macros in relation to root localization via Sturm Theorem

+
+

\PolSturmChainLength{}

+

Syntax: \PolSturmChainLength{<sturmname>}

+
+

Returns the integer N such that sturmname_N is the last one +in the Sturm chain sturmname_0, sturmname_1, …

+

See \PolToSturm{<polname>}{<sturmname>}.

+
+
+
+

\PolSturmIfZeroExactlyKnown{}{}{}{}

+

Syntax: \PolSturmIfZeroExactlyKnown{<sturmname>}{<index>}{T}{F}

+
+

Executes T if the index-th interval reduces to a singleton, +i.e. the root is known exactly, else F.

+
+
+
+

\PolSturmIsolatedZeroLeft{}{}

+

Syntax: \PolSturmIsolatedZeroLeft{<sturmname>}{<index>}

+
+

Expands to the left end-point for the index-th interval, as +computed by some earlier \PolSturmIsolateZeros{<sturmname>}.

+
+

Note

+

Execution of this macro after some +\PolRefineInterval{<sturmname>}{<index>} +will take into account the now known tighter bounds.

+
+

The value is pre-formatted using \PolDecTostring.

+
+
+
+

\PolSturmIsolatedZeroRight{}{}

+

Syntax: \PolSturmIsolatedZeroRight{<sturmname>}{<index>}

+
+

Expands to the right end-point for the index-th interval as +computed by some earlier \PolSturmIsolateZeros{<sturmname>} and +possibly refined afterwards.

+

The value is pre-formatted using \PolDecTostring.

+
+
+
+

\PolSturmIsolatedZeroMultiplicity{}{}

+

Syntax: \PolSturmIsolatedZeroMultiplicity{<sturmname>}{<index>}

+
+

Expands to the multiplicity of the unique root contained in the +index-th interval.

+
+

Attention

+

A prior execution of \PolSturmIsolateZeros*{<sturmname>} is mandatory.

+
+

See The degree nine polynomial with 0.99, 0.999, 0.9999 as triple +roots in polexpr-examples.pdf.

+
+
+
+

\PolSturmNbOfIsolatedZeros{}

+

Syntax: \PolSturmNbOfIsolatedZeros{<sturmname>}

+
+

Expands to the number of real roots of the polynomial +<sturmname>_0, i.e. the number of distinct real roots of the +polynomial originally used to create the Sturm chain via +\PolToSturm{<polname>}{<sturmname>}.

+
+
+

Warning

+

The next few macros counting roots, with or without multiplicities, +less than or equal to some value, are under evaluation and may be +removed from the package if their utility is judged to be not high +enough. They can be re-coded at user level on the basis of the other +documented package macros anyway.

+
+
+
+

\PolSturmNbOfRootsOf{}\LessThanOrEqualTo{}

+

Syntax: \PolSturmNbOfRootsOf{<sturmname>}\LessThanOrEqualTo{<value>}

+
+

Expands to the number of distinct roots (of the polynomial used to +create the Sturm chain) less than or equal to the value (i.e. a +number of fraction recognizable by the xintfrac macros).

+
+

Attention

+

\PolSturmIsolateZeros{<sturmname>} must have been executed +beforehand.

+

And the argument is a <sturmname>, not a <polname> (this is +why the macro contains Sturm in its name), simply to be reminded +of the above constraint.

+
+
+
+
+

\PolSturmNbOfRootsOf{}\LessThanOrEqualToExpr{}

+

Syntax: \PolSturmNbOfRootsOf{<sturmname>}\LessThanOrEqualToExpr{<num. expr.>}

+
+

Expands to the number of distinct roots (of the polynomial +used to create the Sturm chain) which are less than or equal to the +given numerical expression.

+
+

Attention

+

\PolSturmIsolateZeros{<sturmname>} must have been executed +beforehand.

+
+
+
+
+

\PolSturmNbWithMultOfRootsOf{}\LessThanOrEqualTo{}

+

Syntax: \PolSturmNbWithMultOfRootsOf{<sturmname>}\LessThanOrEqualTo{<value>}

+
+

Expands to the number counted with multiplicities of the roots (of +the polynomial used to create the Sturm chain) which are less than +or equal to the given value.

+
+

Attention

+

\PolSturmIsolateZeros*{<sturmname>} (or the double starred +variant) must have been executed beforehand.

+
+
+
+
+

\PolSturmNbWithMultOfRootsOf{}\LessThanOrEqualToExpr{}

+

Syntax: \PolSturmNbWithMultOfRootsOf{<sturmname>}\LessThanOrEqualToExpr{<num. expr.>}

+
+

Expands to the total number of roots (counted with multiplicities) +which are less than or equal to the given expression.

+
+

Attention

+

\PolSturmIsolateZeros*{<sturmname>} (or the double starred +variant) must have been executed beforehand.

+
+
+
+
+

\PolSturmNbOfRationalRoots{}

+

Syntax: \PolSturmNbOfRationalRoots{<sturmname>}

+
+

Expands to the number of rational roots (without multiplicities).

+
+

Attention

+

\PolSturmIsolateZeros**{<sturmname>} must have been executed +beforehand.

+
+
+
+
+

\PolSturmNbOfRationalRootsWithMultiplicities{}

+

Syntax: \PolSturmNbOfRationalRootsWithMultiplicities{<sturmname>}

+
+

Expands to the number of rational roots (counted with multiplicities).

+
+

Attention

+

\PolSturmIsolateZeros**{<sturmname>} must have been executed +beforehand.

+
+
+
+
+

\PolSturmRationalRoot{}{}

+

Syntax: \PolSturmRationalRoot{<sturmname>}{<k>}

+
+

Expands to the k-th rational root. They are enumerated from left to +right starting at index value 1.

+
+

Attention

+

\PolSturmIsolateZeros**{<sturmname>} must have been executed +beforehand.

+
+
+
+
+

\PolSturmRationalRootIndex{}{}

+

Syntax: \PolSturmRationalRootIndex{<sturmname>}{<k>}

+
+

Expands to the index of the kth rational root as part of the +ordered real roots (counted without multiplicities). So +\PolSturmRationalRoot{<sturmname>}{<k>} is equivalent to +this nested call:

+
\PolSturmIsolatedZeroLeft{<sturmname>}{\PolSturmRationalRootIndex{<sturmname>}{<k>}}
+
+
+
+

Attention

+

\PolSturmIsolateZeros**{<sturmname>} must have been executed +beforehand.

+
+
+
+
+

\PolSturmRationalRootMultiplicity{}{}

+

Syntax: \PolSturmRationalRootMultiplicity{<sturmname>}{<k>}

+
+

Expands to the multiplicity of the kth rational root.

+
+

Attention

+

\PolSturmIsolateZeros**{<sturmname>} must have been executed +beforehand.

+
+
+
+
+

\PolIntervalWidth{}{}

+

Syntax: \PolIntervalWidth{<sturmname>}{<index>}

+
+

The 10^E width of the current index-th root localization +interval. Output is in xintfrac raw 1/1[E] format (if not zero).

+
+
+
+
+

Expandable macros for use within execution of \PolPrintIntervals

+

These macros are for usage within custom user redefinitions of +\PolPrintIntervalsKnownRoot, \PolPrintIntervalsUnknownRoot, or +in redefinitions of PolPrintIntervalsPrintExactZero (used in the +default for the former) and of \PolPrintIntervalsPrintLeftEndPoint, +\PolPrintIntervalsPrintRightEndPoint (used in the default for the +latter).

+
+

\PolPrintIntervalsTheVar

+
+

Expands to the name (default Z) used for representing the roots, +which was passed as optional argument varname to +\PolPrintIntervals[varname]{<sturmname>}.

+
+
+
+

\PolPrintIntervalsTheIndex

+
+

Expands to the index of the considered interval (indexing starting +at 1 for the leftmost interval).

+
+
+
+

\PolPrintIntervalsTheSturmName

+
+

Expands to the argument which was passed as <sturmname> to +\PolPrintIntervals[varname]{<sturmname>}.

+
+
+
+

\PolPrintIntervalsTheLeftEndPoint

+
+

The left end point of the interval, as would be produced by +\PolSturmIsolatedZeroLeft if it was +used with arguments the Sturm chain name and interval index returned +by \PolPrintIntervalsTheSturmName and +\PolPrintIntervalsTheIndex.

+
+
+
+

\PolPrintIntervalsTheRightEndPoint

+
+

The right end point of the interval, as would be produced by +\PolSturmIsolatedZeroRight for +this Sturm chain name and index.

+
+
+
+

\PolPrintIntervalsTheMultiplicity

+
+

The multiplicity of the unique root within the interval of index +\PolPrintIntervalsTheIndex. Makes sense only if the starred (or +double-starred) variant of \PolSturmIsolateZeros was used earlier.

+
+
+
+
+
+

TeX Booleans (with names enacting their defaults)

+
+

\xintverbosefalse

+
+

This is actually an xintexpr configuration. Setting it to +true triggers the writing of information to the log when new +polynomial or scalar variables are defined.

+
+

Caution

+

The macro and variable meanings as written to the log are to be +considered unstable and undocumented internal structures.

+
+
+
+
+

\polnewpolverbosefalse

+
+

When \poldef is used, both a variable and a function are +defined. The default \polnewpolverbosefalse setting suppresses +the print-out to the log and terminal of the function macro meaning, +as it only duplicates the information contained in the variable +which is already printed out to the log and terminal.

+

However \PolGenFloatVariant{<polname>} +does still print out the information relative to the polynomial +function it defines for use in \xintfloateval{} as there is no +float polynomial variable, only the

+

function, and it is the only way to see its rounded coefficients +(\xintverbosefalse suppresses also that info).

+

If set to true, it overrides in both cases +\xintverbosefalse. The setting only affects polynomial +declarations. Scalar variables such as those holding information on +roots obey only the \xintverbose... setting.

+

(new with 0.8)

+
+
+
+

\poltypesetallfalse

+
+

If true, \PolTypeset will also typeset the vanishing +coefficients.

+
+
+
+

\poltoexprallfalse

+
+

If true, \PolToExpr{<pol. expr.>} and +\PolToFloatExpr{<pol. expr.>} will also +include the vanishing coefficients in their outputs.

+
+
+
+
+

Utilities

+
+

\PolDecToString{}

+

Syntax: \PolDecToString{decimal number}

+
+

This is a utility macro to print decimal numbers. It is an alias +for \xintDecToString.

+
+
+

For example +\PolDecToString{123.456e-8} will expand to 0.00000123456 +and \PolDecToString{123.450e-8} to 0.00000123450 which +illustrates that trailing zeros are not trimmed.

+

To trim trailing zeroes, one can use +\PolDecToString{\xintREZ{#1}}.

+

Attention that a.t.t.o.w. if the argument is for example 1/5, the +macro does not identify that this is in fact a number with a finite +decimal expansion and it outputs 1/5. See current xintfrac +documentation.

+
+
+
+

\polexprsetup{key=val,...}

+
+

Serves to customize the package. Currently only two keys are +recognized:

+
    +
  • norr: the postfix that \PolSturmIsolateZeros**{<sturmname>} +should append to <sturmname> to declare the primitive polynomial +obtained from original one after removal of all rational roots. +The default value is _norr (standing for “no rational rootsâ€).

  • +
  • sqfnorr: the postfix that \PolSturmIsolateZeros**{<sturmname>} +should append to <sturmname> to declare the primitive polynomial +obtained from original one after removal of all rational roots and +suppression of all multiplicities. +The default value is _sqf_norr (standing for “square-free with +no rational rootsâ€).

  • +
+

The package executes \polexprsetup{norr=_norr, +sqfnorr=_sqf_norr} as default.

+
+
+
+
+

Technicalities

+
    +
  • The @ is allowed in the name of a polynomial (independently of +whether it is of catcode letter or other.) This has always been the +case, but was not documented by polexpr prior to 0.8, as the +author has never found the time to provide some official guidelines on +how to name temporary variables and the @ is used already as such +internally; time has still not yet been found to review the situation +but it seems reasonable to recommend at any rate to restrict usage of +@ to scratch variables of defined macros and to avoid using it to +name document variable.

  • +
  • Catcodes are set temporarily by \poldef macro to safe +values prior to grab the polynomial expression up to the terminator +;, and also by \PolDef prior to grab the +brace-enclosed polynomial expression. This gives a layer of +protection in case some package (for example the babel-french module) +has made some characters active. It will fail though if the whole +thing is located inside some definition of a macro done at a time the +characters are active.

  • +
  • +

    Attention

    +

    Contrarily to \xintdefvar and \xintdeffunc from xintexpr, +\poldef uses a naive delimited macro to fetch up to the +expression terminator ";", hence it will be fooled if some +; is used inside the expression (which is possible as it +appears in some xintexpr constructs). Work-around is to use curly +braces around the inner semi-colons, or simpler to use +\PolDef.

    +
    +
  • +
  • As a consequence of xintfrac addition and subtraction always using +least common multiples for the denominators, user-chosen common +denominators (currently) survive additions and multiplications. For +example, this:

    +
    \poldef P(x):= 1/2 + 2/2*x + 3/2*x^3 + 4/2*x^4;
    +\poldef Q(x):= 1/3 + (2/3)x + (3/3)x^3 + (4/3)x^4;
    +\poldef PQ(x):= P*Q;
    +
    +
    +

    gives internally the polynomial:

    +
    1/6+4/6*x^1+4/6*x^2+6/6*x^3+20/6*x^4+16/6*x^5+9/6*x^6+24/6*x^7+16/6*x^8
    +
    +
    +

    where all coefficients have the same denominator 6. Notice though that +\PolToExpr{PQ} outputs the 6/6*x^3 as x^3 because (by +default) it recognizes and filters out coefficients equal to one or +minus one. One can use for example +\PolToCSV{PQ} to see the internally stored coefficients.

    +
  • +
  • \PolDiff{<polname_1>}{<polname_2>} always applies \xintPIrr to the +resulting coefficients, which means that fractions are reduced to +lowest terms but ignoring an already separated power of ten part [N] +present in the internal representation. This is tentative and may change.

    +

    Same remark for \PolAntiDiff{<polname_1>}{<polname_2>}.

    +
  • +
  • Currently, the package stores all coefficients from index 0 to +index equal to the polynomial degree inside a single macro, as a list. +This data structure is obviously very inefficient for polynomials of +high degree and few coefficients (as an example with \poldef +f(x):=x^1000 + x^500; the subsequent definition \poldef g(x):= +f(x)^2; will do of the order of 1,000,000 multiplications and +additions involvings only zeroes… which does take time). This +may change in the future.

  • +
  • As is to be expected internal structures of the package are barely +documented and unstable. Don’t use them.

  • +
+
+
+ + +
+
+
+
+ +
+
+ + + + \ No newline at end of file diff --git a/macros/generic/polexpr/polexpr-ref.rst.txt b/macros/generic/polexpr/polexpr-ref.rst.txt new file mode 100644 index 0000000000..028e68626f --- /dev/null +++ b/macros/generic/polexpr/polexpr-ref.rst.txt @@ -0,0 +1,3184 @@ +.. comment: -*- fill-column: 72; mode: rst -*- + +=================== + polexpr reference +=================== + +.. _quick: + +Syntax overview via examples +---------------------------- + +The syntax to define a new polynomial is:: + + \poldef polname(x):= expression in variable x; + +.. + +The expression will be parsed by the services of xintexpr_, with some +polynomial aware functions added to its syntax; they are described in +detail :ref:`below `. The parser accepts and will handle +exactly arbitrarily big integers or fractions. + +.. note:: + + xintexpr_ does not automatically reduce fractions to lowest terms, + and, so far (but this may change in future) neither does :ref:`\\poldef + `. + See :ref:`rdcoeffs() ` and the macro + :ref:`\\PolReduceCoeffs `. + + +- In place of ``x`` an arbitrary *dummy variable* is authorized, + i.e. per default one ``a, .., z, A, .., Z`` (more letters can be declared + under Unicode engines). + +- ``polname`` consists of *letters*, *digits*, and also the ``_`` and + ``'`` characters are allowed. The polynomial name **must** start with + a letter: do not use the underscore ``_`` as *first character* of a + polynomial name (even if of catcode letter). No warning is emitted + but dire consequences will ensue. The ``@`` is also allowed + (independently of its catcode "letter" or "other", which does not + matter). It is recommended to avoid using it as first character, + except for temporary polynomial variables. + +- The colon before the equality sign is optional and its (reasonable) + catcode does not matter. + +- The semi-colon at the end of the expression is mandatory. It is not + allowed to arise from expansion (despite the fact that the expression + itself will be parsed using only expansion), it must be "visible" + immediately. + +There are some potential problems (refer to the Technicalities_ section at +bottom of this page) with the semi-colon as expression terminator, so an +alternative syntax is provided, which avoids it altogether:: + + \PolDef[optional letter]{}{} + +The ``\PolDef`` optional first argument defaults to ``x`` and must be +used as the indeterminate in the expression. + +Examples: + +``\poldef f(x):= 1 - x + quo(x^5,1 - x + x^2);`` + +``\PolDef{f}{1 - x + quo(x^5,1 - x + x^2)}`` + Both parse the polynomial + expression, and they create internally macros serving to + incarnate the polynomial, its coefficients, and the associated + polynomial function. + + The polynomial can then be used in further polynomial definitions, + be served as argument to package macros, or appear as a variable in + various functions `described later `_. + + .. warning:: + + Both the function ``quo()`` (as shown in the example above), and + the infix operator ``/`` are mapped to the Euclidean quotient. + + This usage of ``/`` to stand for the Euclidean quotient is + **deprecated** and reserved for a (somewhat improbable) possible + extension of the package to handle rational functions as well. + + .. _warningtacit: + + .. attention:: + + Tacit multiplication rules let the parser when encountering + ``1/2 x^2`` skip the space and thus handle it as ``1/(2*x^2)``. + But then it gives zero, because `/` stands for the Euclidean + quotient operation here. + + Thus one must use ``(1/2)x^2`` or ``1/2*x^2`` or + ``(1/2)*x^2`` for disambiguation: ``x - 1/2*x^2 + 1/3*x^3...``. It is + simpler to move the denominator to the right: ``x - x^2/2 + + x^3/3 - ...``. + + It is worth noting that ``1/2(x-1)(x-2)`` suffers the same issue: + xintexpr_\ 's tacit multiplication always "ties more", hence this + gets interpreted as ``1/(2*(x-1)*(x-2))`` not as + ``(1/2)*(x-1)*(x-2)`` and then gives zero by + polynomial division. Thus, in such cases, use one of + ``(1/2)(x-1)(x-2)``, ``1/2*(x-1)(x-2)`` or ``(x-1)(x-2)/2``. + + ``\poldef P(x):=...;`` defines ``P`` as a *polynomial function*, + which can be used inside ``\xinteval``, as:: + + \xinteval{P(3 + 7 + 11)} + + or even as:: + + \xinteval{P(Q1 + Q2 + Q3)} + + where ``Q1``, ``Q2``, ``Q3`` are polynomials. The evaluation result, + if not a scalar, will then be printed as ``pol([c0,c1,...])`` which + stands for a polynomial variable having the listed coefficients; see + :ref:`pol() `. + + Indeed, as seen above with ``Q1``, the symbol ``P`` also stands for + a *variable of polynomial type*, which serves as argument to + polynomial specific functions such as :ref:`deg() ` or + :ref:`polgcd() `, or as argument to other polynomials (as + above), or even simply stands for its own in algebraic expressions + such as:: + + \poldef Q(z):= P^2 + z^10; + + Notice that in the above, the ``(z)`` part is mandatory, as it informs + ``\poldef`` of the letter used for the indeterminate. In the above + ``P(z)^2`` would give the same as ``P^2`` but the latter is slightly + more efficient. + + One needs to acquire a good understanding of when the symbol ``P`` + will stand for a function and when it will stand for a variable. + + - If ``P`` and + ``Q`` are both declared polynomials then:: + + (P+Q)(3)% <--- attention, does (P+Q)*3, not P(3)+Q(3) + + is currently evaluated as ``(P+Q)*3``, because ``P+Q`` is not + known as a *function*, but *only as a variable of polynomial + type*. Note that :ref:`evalp(P+Q,3) ` gives as expected + the same as ``P(3)+Q(3)``. + + - Also:: + + (P)(3)% <--- attention, does P*3, not P(3) + + will compute ``P*3``, because one can not in current xintexpr_ syntax + enclose a function name in parentheses: consequently it is the variable + which is used here. + + There is a *meager possibility* that in future some internal changes + to xintexpr_ would let ``(P)(3)`` actually compute ``P(3)`` and + ``(P+Q)(3)`` compute ``P(3) + Q(3)``, but note that ``(P)(P)`` will + then do ``P(P)`` and not ``P*P``, the latter, current + interpretation, looking more intuitive. Anyway, do not rely too + extensively on tacit ``*`` and use explicit ``(P+Q)*(1+2)`` if this + is what is intended. + + +``\PolLet{g}={f}`` + saves a copy of ``f`` under name ``g``. Also usable without ``=``. + + Has exactly the same effect as ``\poldef g(x):=f;`` or ``\poldef + g(w):=f(w);``\ . + +``\poldef f(z):= f^2;`` + redefines ``f`` in terms of itself. Prior to ``0.8`` one needed + the right hand side to be ``f(z)^2``. Also, now ``sqr(f)`` is + possible (also ``sqr(f(x))`` but not ``sqr(f)(x)``). + + It may look strange that an indeterminate variable is used on + left-hand-side even though it may be absent of right-hand-side, as + it seems to define ``f`` always as a polynomial function. + + This is a legacy of pre-``0.8`` context. + + .. important:: + + Note that ``f^2(z)`` or ``sqr(f)(z)`` will give a logical but + perhaps unexpected result: first ``f^2`` is computed, then the + opening parenthesis is seen which inserts a tacit multiplication + ``*``, so in the end it is as if the input had been ``f^2 * z``. + Although ``f`` is both a variable and a function, ``f^2`` is + computed as a polynomial *variable* and ceases being a function. + +``\poldef f(T):= f(f);`` + again modifies ``f``. Here it is used both as variable and as + a function. Prior to ``0.8`` it needed to be ``f(f(T))``. + +``\poldef k(z):= f-g(g^2)^2;`` + if everybody followed, this should now define the zero polynomial... + And ``f-sqr(g(sqr(g)))`` computes the same thing. + + We can check this in a typeset document like this:: + + \poldef f(x):= 1 - x + quo(x^5,1 - x + x^2);% + \PolLet{g}={f}% + \poldef f(z):= f^2;% + \poldef f(T):= f(f);% + \poldef k(w):= f-sqr(g(sqr(g)));% + $$f(x) = \vcenter{\hsize10cm \PolTypeset{f}} $$ + $$g(z) = \PolTypeset{g} $$ + $$k(z) = \PolTypeset{k} $$ + \immediate\write128{f(x)=\PolToExpr{f}}% ah, here we see it also + +``\poldef f'(x):= diff1(f);`` + (new at ``0.8``) + +``\PolDiff{f}{f'}`` + Both set ``f'`` (or any other chosen name) to the derivative + of ``f``. + + .. important:: + + This is not done automatically. If some new definition needs to use + the derivative of some available polynomial, that derivative + polynomial must have been previously defined: something such as + ``f'(3)^2`` will not work without a prior definition of ``f'``. + + But one can now use ``diff1(f)`` for on-the-spot construction with no + permanent declaration, so here ``evalp(diff1(f),3)^2``. And + ``diff1(f)^2`` is same as ``f'^2``, assuming here ``f'`` was declared + to be the derived polynomial. + + Notice that the name ``diff1()`` is experimental and may change. Use + ``\PolDiff{f}{f'}`` as the stable interface. + +``\PolTypeset{P}`` + Typesets (switching to math mode if in text mode):: + + \poldef f(x):=(3+x)^5;% + \PolDiff{f}{f'}\PolDiff{f'}{f''}\PolDiff{f''}{f'''}% + $$f(z) = \PolTypeset[z]{f} $$ + $$f'(z) = \PolTypeset[z]{f'} $$ + $$f''(z) = \PolTypeset[z]{f''} $$ + $$f'''(z)= \PolTypeset[z]{f'''} $$ + + See `its documentation `_ for the configurability + via macros. + + Since ``0.8`` `\\PolTypeset `_ accepts directly an + expression, it does not have to be a pre-declared polynomial name:: + + \PolTypeset{mul(x-i,i=1..5)} + +``\PolToExpr{P}`` + Expandably (contrarily to `\\PolTypeset `_) + produces ``c_n*x^n + ... + c_0`` starting from the leading + coefficient. The ``+`` signs are omitted if followed by negative + coefficients. + + This is useful for console or file output. This syntax is Maple and + PSTricks ``\psplot[algebraic]`` compatible; and also it is + compatible with ``\poldef`` input syntax, of course. See + `\\PolToExprCaret`_ for configuration of the ``^``, for example to + use rather ``**`` for Python syntax compliance. + + Changed at ``0.8``: the ``^`` in output is by default of catcode 12 + so in a draft document one can use ``\PolToExpr{P}`` inside the + typesetting flow (without requiring math mode, where the ``*`` would + be funny and ``^12`` would only put the ``1`` as exponent anyhow; + but arguably in text mode the ``+`` and ``-`` are not satisfactory + for math, except sometimes in monospace typeface, and anyhow TeX is + unable to break the expression across lines, barring special help). + + See :ref:`\\PolToExpr{\} ` and related macros for customization. + + Extended at ``0.8`` to accept as argument not only the name of a + polynomial variable but more generally any polynomial expression. + + +Using defined polynomials in floating point context +--------------------------------------------------- + +Exact manipulations with fractional coefficients may quickly lead to +very large denominators. For numerical evaluations, it is advisable +to a use a floating point context. But for the polynomial to be +usable as a function in floating point context, an extra step beyond +``\poldef`` is required: see `\\PolGenFloatVariant`_. Then the +``\xintfloateval`` macro from xintexpr_ will recognize the polynomial +as a genuine function (with already float-rounded coefficients, and +using a Horner scheme). + +But `\\PolGenFloatVariant`_ must be used each time the polynomial gets +redefined or a new polynomial is created out of it. Functions such as +for example :ref:`deg() ` which handle the polynomial as an entity +are only available within the ``\poldef`` and ``\xinteval`` (or +``\xintexpr``) parsers. Inside ``\xintfloateval`` a polynomial can only +serve as a numerical function (and only after declaration via +`\\PolGenFloatVariant`_), and not as a variable. + +In some cases one may wish to replace a polynomial having acquired +very big fractional coefficients with a new one whose coefficients +have been float-rounded. See :ref:`\\PolMapCoeffs ` +which can be used for example with the ``\xintFloat`` macro from the +xintfrac_ package to achieve this. + + +.. _polexpr08: + +The polexpr ``0.8`` extensions to the ``\xintexpr`` syntax +---------------------------------------------------------- + +All the syntax elements described in this section can be used in the +``\xintexpr/\xinteval`` context (where polynomials can be obtained from +the ``pol([])`` constructor, once polexpr is loaded): their usage is +not limited to only ``\poldef`` context. + +.. note:: + + If a variable ``myPol`` defined via ``\xintdefvar`` turns out + to be a polynomial, the difference with those declared via ``\poldef`` + will be: + + 1. ``myPol`` is not usable as *function*, but only as a variable. + Attention that ``f(x)`` if ``f`` is only a variable (even a + polynomial one) will actually compute ``f * x``. + + 2. ``myPol`` is not known to the polexpr package, hence for example the + macros to achieve localization of its roots are unavailable. + + In a parallel universe I perhaps have implemented this expandably + which means it could then be accessible with syntax such as + ``rightmostroot(pol([42,1,34,2,-8,1]))`` but... + + +Warning about unstability of the new syntax +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +.. warning:: + + Consider the entirety of this section as **UNSTABLE** and + **EXPERIMENTAL** (except perhaps regarding ``+``, ``-`` and ``*``). + + And this applies even to items not explicitly flagged with one of + **unstable**, **Unstable**, or **UNSTABLE** which only reflect that + documentation was written over a period of time exceeding one minute, + enough for the author mood changes to kick in. + + It is hard to find good names at the start of a life-long extension + program of functionalities, and perhaps in future it will be + preferred to rename everything or give to some functions other + meanings. Such quasi-complete renamings happened already a few times + during the week devoted to development. + + +Infix operators ``+, -, *, /, **, ^`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + As has been explained in the `Syntax overview via examples`_ + section these infix operators have been made polynomial aware, not + only in the ``\poldef`` context, but generally in any + ``\xintexpr/\xinteval`` context, inclusive of ``\xintdeffunc``. + + Conversely functions declared via ``\xintdeffunc`` and making use of + these operators will automatically be able to accept polynomials + declared from ``\poldef`` as variables. + + Usage of ``/`` for euclidean division of polynomials is **deprecated**. + Only in case of a scalar denominator is it to be considered stable. + Please use rather ``quo()``. + +Experimental infix operators ``//, /:`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + Here is the tentative behaviour of ``A//B`` according to types: + + - ``A`` non scalar and ``B`` non scalar: euclidean quotient, + + - ``A`` scalar and ``B`` scalar: floored division, + + - ``A`` scalar and ``B`` non scalar: produces zero, + + - ``A`` non scalar and ``B`` scalar: coefficient per + coefficient floored division. + + This is an **experimental** overloading of the ``//`` and ``/:`` + from ``\xintexpr``. + + The behaviour in the last case, but not only, is to be considerd + **unstable**. The alternative would be for ``A//B`` with ``B`` + scalar to act as ``quo(A,B)``. But, we have currently chosen to let + ``//B`` for a scalar ``B`` act coefficient-wise on the numerator. + Beware that it thus means it can be employed with the idea of doing + euclidean division only by checking that ``B`` is non-scalar. + + The ``/:`` operator provides the associated remainder so always + ``A`` is reconstructed from ``(A//B)*B + A/:B``. + + If ``:`` is active character use ``/\string:`` (it is safer to use + ``/\string :`` if it is not known if ``:`` has catcode other, letter, + or is active, but note that ``/:`` is fine and needs no precaution if + ``:`` has catcode letter, it is only an active ``:`` which is + problematic, like for all other characters possibly used in an + expression). + + **UNSTABLE** + + As explained above, there are (among other things) hesitations + about behaviour with ``pol2`` a scalar. + +Comparison operators ``<, >, <=, >=, ==, !=`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + **NOT YET IMPLEMENTED** + + As the internal representation by xintfrac_ and xintexpr_ of + fractions does not currently require them to be in reduced terms, + such operations would be a bit costly as they could not benefit from + the ``\pdfstrcmp`` engine primitive. In fact xintexpr_ does not use + it yet anywhere, even for normalized pure integers, although it could + speed up signifcantly certain aspects of core arithmetic. + + Equality of polynomials can currently be tested by computing the + difference, which is a bit costly. And of course the ``deg()`` + function allows comparing degrees. In this context note the + following syntax:: + + (deg(Q)) ?? { zero } { non-zero scalar } { non-scalar } + + for branching. + + +.. _pol: + +``pol()`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + This converts a nutple ``[c0,c1,...,cN]`` into the polynomial + variable having these coefficients. Attention that the square + brackets are **mandatory**, except of course if the argument is + actually an expression producing such a "nutple". + + Currently, this process will not normalize the coefficients (such + as reducing to lowest terms), it only trims out the leading zero + coefficients. + + Inside ``\xintexpr``, this is the only (allowed) way to create ex + nihilo a polynomial variable; inside ``\poldef`` it is an alternative + input syntax which is more efficient than the input ``c0 + c1 * x + c2 * + x^2 + ...``. + +.. important:: + + Whenever an expression with polynomials collapses to a constant, it + becomes a scalar. There is currently no distinction during the + parsing of expressions by ``\poldef`` + or ``\xintexpr`` between constant polynomial variables and scalar + variables. + + Naturally, ``\poldef`` can be used to declare a constant polynomial + ``P``, then ``P`` can also be used as function having a value + independent of argument, but as a variable, it is non-distinguishable + from a scalar (of course functions such as ``deg()`` tacitly + consider scalars to be constant polynomials). + + Notice that we tend to use the vocable "variable" to refer to + arbitrary expressions used as function arguments, without implying + that we are actually referring to pre-declared variables in the sense + of ``\xintdefvar``. + +.. _lpol: + +``lpol()`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + This converts a nutple ``[cN,...,c1,c0]`` into the polynomial + variable having these coefficients, with leading coefficients coming + first in the input. Attention that the square brackets are + **mandatory**, except of course if the argument is actually an + expression producing such a "nutple". + + Currently, this process will not normalize the coefficients (such + as reducing to lowest terms), it only trims out the leading zero + coefficients. + + **NAME UNSTABLE** + + It can be used in ``\poldef`` as an alternative input syntax, which + is more efficient than using the algebraic notation with monomials. + + (new with ``0.8.1``, an empty nutple will cause breakage) + +.. _xintevalpolexpr: + +``\xinteval{}`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + This is documented here for lack of a better place: it evaluates the + polynomial expression then outputs the "string" ``pol([c0, c1, ..., cN])`` + if the degree ``N`` is at least one (and the usual scalar output else). + + The "pol" word uses letter catcodes, which is actually mandatory for + this output to be usable as input, but it does not make sense to use + this inside ``\poldef`` or ``\xintexpr`` at it means basically + executing ``pol(coeffs(..expression..))`` which is but a convoluted + way to obtain the same result as ``(..expression..)`` (the + parentheses delimiting the polynomial expression). + + For example, ``\xinteval{(1+pol([0,1]))^10}`` expands (in two steps) + to:: + + pol([1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1]) + + You do need loading polexpr for this, else of course ``pol([])`` + remains unknown to ``\xinteval{}`` as well as the polynomial algebra ! + This example can also be done as + ``\xinteval{subs((1+x)^10,x=pol([0,1]))}``. + + I hesitated using as output the polynomial notation as produced by + `\\PolToExpr{} `_, but finally opted for this. + +.. _evalp: + +``evalp(, )`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + Evaluates the first argument as a polynomial function of the + second. Usually the second argument will be scalar, but this is not + required:: + + \poldef K(x):= evalp(-3x^3-5x+1,-27x^4+5x-2); + + If the first argument is an already declared polynomial ``P``, use + rather the functional form ``P()`` (which can accept a numerical as + well as polynomial argument) as it is more efficient. + + One can also use ``subs()`` syntax [#]_ (see xintexpr_ documentation):: + + \poldef K(x):= subs(-3y^3-5y+1, y = -27x^4+5x-2); + + but the ``evalp()`` will use a Horner evaluation scheme which is + usually more efficient. + + .. [#] by the way Maple uses the opposite, hence wrong, order + ``subs(x=..., P)`` but was written before computer science + reached the xintexpr_ heights. However it makes validating + Maple results by polexpr sometimes cumbersome, but perhaps + they will update it at some point. + + .. + + **name unstable** + + ``poleval``? ``evalpol``? ``peval``? ``evalp``? ``value``? + ``eval``? ``evalat``? ``eval1at2``? ``evalat2nd``? + + Life is so complicated when one asks questions. Not everybody does, + though, as is amply demonstrated these days. + + **syntax unstable** + + I am hesitating about permuting the order of the arguments. + +.. _deg: + +``deg()`` +~~~~~~~~~~~~~~~~~~~~~ + + Computes the degree. + +.. important:: + + As ``\xintexpr`` does not yet support infinities, the degree of + the zero polynomial is ``-1``. Beware that this breaks additivity + of degrees, but ``deg(P)<0`` correctly detects the zero polynomial, + and ``deg(P)<=0`` detects scalars. + +``coeffs()`` +~~~~~~~~~~~~~~~~~~~~~~~~ + + Produces the nutple ``[c0,c1,...,cN]`` of coefficients. The highest + degree coefficient is always non zero (except for the zero + polynomial...). + + **name unstable** + + I am considering in particular using ``polcoeffs()`` to avoid + having to overload ``coeffs()`` in future when matrix type + will be added to xintexpr_. + +.. _lcoeffs: + +``lcoeffs()`` +~~~~~~~~~~~~~~~~~~~~~~~~~ + + Produces the nutple ``[cN,....,c1,c0]`` of coefficients, starting + with the highest degree coefficient. + + (new with ``0.8.1``) + +``coeff(, )`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + As expected. Produces zero if the numerical index is negative or + higher than the degree. + + **name, syntax and output unstable** + + I am hesitating with ``coeff(n,pol)`` syntax and also perhaps using + ``polcoeff()`` in order to avoid having to overload ``coeff()`` + when matrix type will be added to xintexpr_. + + The current behaviour is at odds with legacy + :ref:`\\PolNthCoeff{\}{\} ` regarding negative indices. + Accessing leading or sub-leading coefficients can be done with + other syntax, see `lc()`_, and in some contexts it + is useful to be able to rely on the fact that coefficients with + negative indices do vanish, so I am for time being maintaining this. + +.. _lc: + +``lc()`` +~~~~~~~~~~~~~~~~~~~~ + + The leading coefficient. The same result can be obtained from + ``coeffs(pol)[-1]``, which shows also how to generalize to access + sub-leading coefficients. See the xintexpr_ documentation for + Python-like indexing syntax. + +``monicpart()`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + Divides by the leading coefficient, except that ``monicpart(0)==0``. + + **unstable** + + Currently the coefficients are reduced to lowest terms (contrarily + to legacy behaviour of `\\PolMakeMonic `_), and + additionally the xintfrac_ ``\xintREZ`` macro is applied which + extracts powers of ten from numerator or denominator and stores + them internally separately. This is generally beneficial to + efficiency of multiplication. + +.. _cont: + +``cont()`` +~~~~~~~~~~~~~~~~~~~~~~ + + The (fractional) greatest common divisor of the polynomial + coefficients. It is always produced as an irreducible (non-negative) + fraction. According to Gauss theorem the content of a product is the + product of the contents. + + .. commentaire 8 avril 2021 + + surprenamment après avoir utilisé `\\PolIContent `_ + une fois on peut utiliser `\\PolIContent`_ directement. + + avec docutils 0.16 + + .. + + **name and syntax unstable** + + At ``0.8`` it was created as ``icontent()`` to match the legacy + macro `\\PolIContent `_, whose name in 2018 was + chosen in relation to Maple's function ``icontent()``, possibly + because at that time I had not seen that Maple also had a + ``content()`` function. Name changed at ``0.8.1``. + + It will change syntax if in future multivariate polynomials are + supported, and ``icontent()`` will then make a come-back. + +``primpart()`` +~~~~~~~~~~~~~~~~~~~~~~~~~~ + + The quotient (except for the zero polynomial) by + ``cont()``. This is thus a polynomial with + integer coefficients having ``1`` as greatest common divisor. The + sign of the leading coefficient is the same as in the original. + + And ``primpart(0)==0``. + + The trailing zeros of the integer coefficients are extracted + into a power of ten exponent part, in the internal representation. + +``quorem(, )`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + Produces a nutple ``[Q,R]`` with ``Q`` the euclidean quotient and + ``R`` the remainder. + + **name unstable** + + ``poldiv()``? + +``quo(, )`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + The euclidean quotient. + + The deprecated ``pol1/pol2`` syntax computes the same polynomial. + +``rem(, )`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + The euclidean remainder. If ``pol2`` is a (non-zero) scalar, this is + zero. + + There is no infix operator associated to this, for lack of evident + notation. Please advise. + + ``/:`` can be used if one is certain that ``pol2`` is of + degree at least one. But read the warning about it being unstable + even in that case. + +.. not implemented + + ``spquorem(pol1,pol2)`` + ~~~~~~~~~~~~~~~~~~~~~~~ + + Produces a tuple ``[Q,R]`` with the pseudo-quotient and + pseudo-remainder. See `prem(pol1, pol2) `_ for + their definitions. + + **NOT IMPLEMENTED** + + I am hesitating returning rather the nutple ``[b^f, Q, R]`` or + ``[f, Q, R]``. Note that the number of non-zero coefficients of + a polynomial ``P`` can be computed as ``add(?(c),c=coeffs(P))``, + and in this context I am hesitating abstracting a function to + provide this [#]_. The usual problem is that I don't know how to + name the function. + + I am also hesitating providing rather a function returning only + ``f`` and ``R``, not ``Q``, which for modular computations we don't + need to carry along. + + .. [#] one can embed ``\xintiiexpr add(?(c),c=coeffs(P))\relax`` + inside ``\xintexpr`` and it will be more efficient for long + polynomials, but naturally a core implementation using a + single ``\numexpr`` would be quite more efficient still. + +.. _prem: + +``prem(, )`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + Produces a nutple ``[m, spR]`` where ``spR`` is the (special) pseudo + Euclidean remainder. Its description is: + + - the standard euclidean remainder ``R`` is ``spR/m`` + + - ``m = b^f`` with ``b`` equal to the **absolute value** of the + leading coefficient of ``pol2``, + + - ``f`` is the number of non-zero coefficients in the euclidean + quotient, if ``deg(pol2)>0`` (even if the remainder vanishes). + + If ``pol2`` is a scalar however, the function outputs ``[1,0]``. + + With these definitions one can show that if both ``pol1`` and + ``pol2`` have integer coefficients, then this is also the case of + ``spR``, which makes its interest (and also ``m*Q`` has integer + coefficients, with ``Q`` the euclidean quotient, if ``deg(pol2)>0``). + Also, ``prem()`` is computed faster than ``rem()`` for such integer + coefficients polynomials. + + .. hint:: + + If you want the euclidean quotient ``R`` evaluated via ``spR/m`` + (which may be faster, even with non integer coefficients) use + ``subs(last(x)/first(x),x=prem(P,Q))`` syntax as it avoids + computing ``prem(P,Q)`` twice. This does the trick both in + ``\poldef`` or in ``\xintdefvar``. + + However, as is explained in the xintexpr_ documentation, using + such syntax in an ``\xintdeffunc`` is (a.t.t.o.w) illusory, due to + technicalities of how ``subs()`` gets converted into nested + expandable macros. One needs an auxiliary function like this:: + + \xintdeffunc lastoverfirst(x):=last(x)/first(x); + \xintdeffunc myR(x)=lastoverfirst(prem(x)); + + Then, ``myR(pol1,pol2)`` will evaluate ``prem(pol1,pol2)`` only + once and compute a polynomial identical to the euclidean + remainder (internal representations of coefficients may differ). + + In this case of integer coefficients polynomials, the polexpr + internal representation of the integer coefficients in the pseudo + remainder will be with unit denominators only if that was already the + case for those of ``pol1`` and ``pol2`` (no automatic reduction to + lowest terms is made prior or after computation). + + Pay attention here that ``b`` is the **absolute value** of the + leading coefficient of ``pol2``. Thus the coefficients of the + pseudo-remainder have the same signs as those of the standard + remainder. This diverges from Maple's function with the same name. + + +``divmod(, )`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + Overloads the scalar ``divmod()`` and associates it with the + experimental ``//`` and ``/:`` as extended to the polynomial type. + + In particular when both ``pol1`` and ``pol2`` are scalars, this is + the usual ``divmod()`` (as in Python) and for ``pol1`` and ``pol2`` + non constant polynomials, this is the same as ``quorem()``. + + **Highly unstable** overloading of ``\xinteval``\ 's ``divmod()``. + +``mod(, )`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + The ``R`` of the ``divmod()`` output. Same as ``R`` of ``quorem()`` + when the second argument ``pol2`` is of degree at least one. + + **Highly unstable** overloading of ``\xinteval``\ 's ``mod()``. + +``polgcd(, , ...)`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + Evaluates to the greatest common polynomial divisor of all the + polynomial inputs. The output is a **primitive** (in particular, + with integer coefficients) polynomial. It is zero if and only if all + inputs vanish. + + Attention, there must be either at least two polynomial variables, or + alternatively, only one argument which then must be a bracketed list + or some expression or variable evaluating to such a "nutple" whose + items are polynomials (see the documentation of the scalar ``gcd()`` + in xintexpr_). + + The two variable case could (and was, during development) have been + defined at user level like this:: + + \xintdeffunc polgcd_(P,Q):= + (deg(Q))??{P}{1}{polgcd_(Q,primpart(last(prem(P,Q))))}; + \xintdeffunc polgcd(P,Q):=polgcd_(primpart(P),primpart(Q));% + + This is basically what is done internally for two polynomials, up + to some internal optimizations. + + **UNSTABLE** + + I hesitate between returning a *primitive* or a *monic* polynomial. + Maple returns a primitive polynomial if all inputs [#]_ have integer + coefficients, else it returns a monic polynomial, but this is + complicated technically for us to add such a check and would add + serious overhead. + + Internally, computations are done using primitive + integer-coefficients polynomials (as can be seen in the function + template above). So I decided finally to output a primitive + polynomial, as one can always apply ``monicpart()`` to it. + + Attention that this is at odds with behaviour of the legacy + `\\PolGCD `_ (non expandable) macro. + + .. [#] actually, only two polynomial arguments are allowed by Maple's + ``gcd()`` as far as I know. + +``resultant(, )`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + The resultant. + + **NOT YET IMPLEMENTED** + +``disc()`` +~~~~~~~~~~~~~~~~~~~~~~ + + The discriminant. + + **NOT YET IMPLEMENTED** + +``polpowmod(, , )`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + Modular exponentiation: ``mod(pol1^N, pol2)`` in a more efficient + manner than first computing ``pol1^N`` then reducing modulo ``pol2``. + + Attention that this is using the ``mod()`` operation, whose current + experimental status is as follows: + + - if ``deg(pol2)>0``, the euclidean remainder operation, + - if ``pol2`` is a scalar, coefficient-wise reduction modulo ``pol2``. + + + **UNSTABLE** + + This is currently implemented at high level via ``\xintdeffunc`` and + recursive definitions, which were copied over from a scalar example + in the xintexpr_ manual:: + + \xintdeffunc polpowmod_(P, m, Q) := + isone(m)? + % m=1: return P modulo Q + { mod(P,Q) } + % m > 1: test if odd or even and do recursive call + { odd(m)? { mod(P*sqr(polpowmod_(P, m//2, Q)), Q) } + { mod( sqr(polpowmod_(P, m//2, Q)), Q) } + } + ;% + \xintdeffunc polpowmod(P, m, Q) := (m)?{polpowmod_(P, m, Q)}{1};% + + Negative exponents are not currently implemented. + + For example:: + + \xinteval{subs(polpowmod(1+x,100,x^7),x=pol([0,1]))} + \xinteval{subs(polpowmod(1+x,20,10), x=pol([0,1]))} + + produce respectively:: + + pol([1, 100, 4950, 161700, 3921225, 75287520, 1192052400]) + pol([1, 0, 0, 0, 5, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0, 4, 5, 0, 0, 0, 1]) + +.. perte de temps terrible pourquoi j'écris cela + When ``pol2`` is as scalar then the degrees of the modular powers + ``mod(pol1^N, pol2)`` will in general increase linearly in ``N`` + hence become big. But one can play with modifying the above + template and nesting two ``mod()``, one with an integer modulus, + say ``7``, and the other the a monic integer coefficients + polynomial such as ``Q = x^2+1``. Then an integer coefficients + polynomial ``P`` will have an integer coefficient remainder modulo + ``Q``, and + +.. _rdcoeffs: + +``rdcoeffs()`` +~~~~~~~~~~~~~~~~~~~~~~~~~~ + + This operates on the internal representation of the coefficients, + reducing them to lowest terms. + + **name HIGHLY undecided** + +``rdzcoeffs()`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + This operates on the internal representation of the coefficients, + reducing them to lowest terms then extracting from numerator + or denominator the maximal power of ten to store as a decimal + exponent. + + This is sometimes favourable to more efficient polynomial algebra + computations. + + **name HIGHLY undecided** + +``diff1()`` +~~~~~~~~~~~~~~~~~~~~~~~ + + The first derivative. + + **name UNSTABLE** + + This name may be used in future to be the partial derivative with + respect to a first variable. + +``diff2()`` +~~~~~~~~~~~~~~~~~~~~~~~ + + The second derivative. + + **name UNSTABLE** + + This name may be used in future to be the partial derivative with + respect to a second variable. + + +``diffn(, )`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + The ``n``\ th derivative of ``P``. For ``n<0`` computes iterated primitives + vanishing at the origin. + + The coefficients are not reduced to lowest terms. + + **name and syntax UNSTABLE** + + I am also considering reversing the order of the arguments. + +``antider()`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + The primitive of ``P`` with no constant term. Same as ``diffn(P,-1)``. + +``intfrom(, )`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + The primitive of ``P`` vanishing at ``c``, i.e. ``\int_c^x P(t)dt``. + + Also ``c`` can be a polynomial... so if ``c`` is monomial ``x`` + this will give zero! + + **UNSTABLE** + + Allowing general polynomial variable for ``c`` adds a bit of + overhead to the case of a pure scalar. So I am hesitating + maintaining this feature whose interest appears dubious. + + .. attention:: + + As the two arguments are both allowed to be polynomials, if by + inadvertance one exchanges the two, there is no error but the + meaning of ``intfrom(c,P)`` is completely otherwise, as it + produces ``c*(x - P)`` if ``c`` is a scalar:: + + >>> &pol + pol mode (i.e. function definitions use \poldef) + >>> P(x):=1+x^2; + P = x^2+1 + --> &GenFloat(P) lets P become usable as function in fp mode + --> &ROOTS(P) (resp. &ROOTS(P,N)) finds all rational roots exactly and + all irrational roots with at least 10 (resp. N) fractional digits + >>> intfrom(P,1); + @_1 pol([-4/3, 1, 0, 1/3]) + >>> intfrom(1,P); + @_2 pol([-1, 1, -1]) + >>> &bye + + + +.. grosse hésitation ici + + ``intto(, )`` + ----------------------------------------- + + ``\int_x^c P(t)dt``. + + c'est l'opposé du précédent + + mais le nom pourrait faire penser à \int_0^x plutôt + +``integral(, [, ])`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + ``\int_a^b P(t)dt``. + + .. warning:: + + The brackets here are not denoting an optional argument but a + *mandatory* nutple argument ``[a, b]`` with *two items*. No real + recoverable-from error check is done on the input syntax. The + input can be an xintexpr_ variable which happens to be a nutple + with two items, or any expression which evaluates to such a + nutple. + + ``a`` and ``b`` are not restricted to be scalars, they are allowed to + be themselves polynomial variables or even polynomial expressions. + + To compute ``\int_{x-1}^x P(t)dt`` it is more efficient to use + ``intfrom(x-1)``. + + Similary to compute ``\int_x^{x+1} P(t)dt``, use ``-intfrom(x+1)``. + + **UNSTABLE** + + Am I right to allow general polynomials ``a`` and ``b`` hence add + overhead to the pure scalar case ? + + + +Non-expandable macros +--------------------- + +.. note:: + + At ``0.8`` ``polexpr`` is usable with Plain TeX and not only with + LaTeX. Some examples given in this section may be using LaTeX syntax + such as ``\renewcommand``. + +.. _poldef;: + +``\poldef polname(letter):= expression using the letter as indeterminate;`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + This evaluates the *polynomial expression* and stores the + coefficients in a private structure accessible later via other + package macros, used with argument ``polname``. Of course the + *expression* can make use of previously defined polynomials. + + Polynomial names must start with a letter and are constituted of + letters, digits, underscores and the right tick ``'``. + + The whole xintexpr_ syntax is authorized, as long as the final + result is of polynomial type:: + + \poldef polname(z) := add((-1)^i z^(2i+1)/(2i+1)!, i = 0..10); + + With fractional coefficients, beware the `tacit multiplication issue + `_. + + Furthermore: + + - a variable ``polname`` is defined which can be used in ``\poldef`` + as well as in ``\xinteval`` for algebraic computations or as + argument to polynomial aware functions, + + - a function ``polname()`` is defined which can be used in ``\poldef`` + as well as in ``\xinteval``. It accepts there as argument scalars + and also other polynomials (via their names, thanks to previous + item). + + Notice that any function defined via ``\xintdeffunc`` and using + only algebraic operations (and ople indexing or slicing operations) + should work fine in ``\xintexpr/\xinteval`` with such polynomial + names as argument. + + In the case of a constant polynomial, the xintexpr_ variable (not the + internal data structure on which the package macros operate) + associated to it is indistinguishable from a scalar, it is actually + a scalar and has lost all traces from its origins as a polynomial + (so for example can be used as argument to the ``cos()`` function). + + The *function* on the other hand remains a one-argument function, + which simply has a constant value. + + .. attention:: + + The function ``polname()`` is defined **only** for + ``\xintexpr/\xinteval`` + context. It will be unknown to ``\xintfloateval``. + + Worse, a + previously existing floating point function of the same name will + be let undefined again, to avoid hard to debug mismatches between + exact and floating point polynomials. This also applies when the + polynomial is produced not via ``\poldef`` or ``\PolDef`` but + as result of usage of the other package macros. + + See :ref:`\\PolGenFloatVariant{\} ` to generate a **function** + usable in ``\xintfloateval``. + + .. attention:: + + Using the **variable** ``mypol`` inside ``\xintfloateval`` will + generate low-level errors because the infix operators there are + not polynomial-aware, and the polynomial specific functions such + as ``deg()`` are only defined for usage inside ``\xintexpr``. + + In short, currently polynomials defined via ``polexpr`` can + be used in floating point context only for numerical evaluations, + via **functions** obtained from :ref:`\\PolGenFloatVariant{\} ` + usage. + + Changes to the original polynomial via package macros are not + automatically mapped to the numerical floating point evaluator + which must be manually updated as necessary when the original + rational coefficient polynomial is modified. + + The original expression is lost after parsing, and in particular the + package provides no way to typeset it (of course the package + provides macros to typeset the computed polynomial). Typesetting + the original expression has to be done manually, if needed. + +.. _PolDef: + +``\PolDef[]{}{}`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + Does the same as `\\poldef `_ in an undelimited macro + format, the main interest is to avoid potential problems with the + catcode of the semi-colon in presence of some packages. In absence + of a ``[]`` optional argument, the variable is assumed to be + ``x``. + + +.. _PolGenFloatVariant: + +``\PolGenFloatVariant{}`` +~~~~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolGenFloatVariant{}`` + + Makes the polynomial also usable in the + ``\xintfloatexpr/\xintfloateval`` parser. It will therein evaluates + via an Horner scheme using polynomial coefficients already + pre-rounded to the float precision. + + See also :ref:`\\PolToFloatExpr{\} `. + + .. attention:: + + Any operation, for example generating the derivative polynomial, + or dividing two polynomials or using the ``\PolLet``, must be + followed by explicit usage of ``\PolGenFloatVariant{}`` if + the new polynomial is to be used in ``\xintfloateval``. + +.. _PolTypeset: + +``\PolTypeset{}`` +~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolTypeset{}`` + + Typesets in descending powers, switching to math mode if in text + mode, after evaluating the polynomial expression:: + + \PolTypeset{mul(x-i,i=1..5)}% possible since polexpr 0.8 + + The letter used in the input expression is by default ``x``, + but can be modified by a redefinition of `\\PolToExprInVar`_. + + It uses also by default the letter ``x`` on output but this one can + be changed via an optional argument:: + + \PolTypeset[z]{polname or polynomial expression} + + By default zero coefficients are skipped (use ``\poltypesetalltrue`` + to get all of them in output). + + The following macros (whose meanings will be found in the package code) + can be re-defined for customization. Their default definitions are + expandable, but this is not a requirement. + +.. _PolTypesetCmd: + +``\PolTypesetCmd{}`` +^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolTypesetCmd{}`` + + Its package definition checks if the coefficient is ``1`` or ``-1`` + and then skips printing the ``1``, except for the coefficient of + degree zero. Also it sets the conditional deciding behaviour of + :ref:`\\PolIfCoeffIsPlusOrMinusOne{T}{F} `. + + The actual printing of the coefficients, when not equal to plus or + minus one, is handled by :ref:`\\PolTypesetOne{\} `. + +.. _PolIfCoeffIsPlusOrMinusOne: + +``\PolIfCoeffIsPlusOrMinusOne{}{}`` +*********************************** + +Syntax: ``\PolIfCoeffIsPlusOrMinusOne{T}{F}`` + + This macro is a priori undefined. + + It is defined via the default :ref:`\\PolTypesetCmd{\} ` to be + used if needed in the execution of `\\PolTypesetMonomialCmd`_, + e.g. to insert a ``\cdot`` in front of ``\PolVar^{\PolIndex}`` if + the coefficient is not plus or minus one. + + The macro will execute ``T`` if the coefficient has been found to be + plus or minus one, and ``F`` if not. It chooses expandably between + ``T`` and ``F``. + +.. _PolTypesetOne: + +``\PolTypesetOne{}`` +^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolTypesetOne{}`` + + Defaults to ``\xintTeXsignedFrac`` (LaTeX) or ``\xintTeXsignedOver`` + (else). But these xintfrac_ old legacy macros are a bit + annoying as they insist in exhibiting a power of ten rather than + using simpler decimal notation. + + As alternative, one can do definitions such as:: + + \def\PolTypesetOne#1{\xintDecToString{\xintREZ{#1}}} + % or with LaTeX+siunitx for example + \renewcommand\PolTypesetOne[1]{\num{\xintPFloat[5]{#1}}} + % (as \num of siunitx understands floating point notation) + \renewcommand\PolTypesetOne[1]{\num{\xintRound{4}{#1}}} + +.. _PolTypesetMonomialCmd: + +``\PolTypesetMonomialCmd`` +^^^^^^^^^^^^^^^^^^^^^^^^^^ + + This decides how a monomial (in variable ``\PolVar`` and with + exponent ``\PolIndex``) is to be printed. The default does nothing + for the constant term, ``\PolVar`` for the first degree and + ``\PolVar^{\PolIndex}`` for higher degrees monomials. Beware that + ``\PolIndex`` expands to digit tokens and needs termination in + ``\ifnum`` tests. + +.. _PolTypesetCmdPrefix: + +``\PolTypesetCmdPrefix{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolTypesetCmdPrefix{}`` + + Expands to a ``+`` if the ``raw_coeff`` is zero or positive, and to + nothing if ``raw_coeff`` is negative, as in latter case the + ``\xintTeXsignedFrac`` (or ``\xintTeXsignedOver``) used by + :ref:`\\PolTypesetCmd{\} ` will put the ``-`` sign in front of + the fraction (if it is a fraction) and this will thus serve as + separator in the typeset formula. Not used for the first term. + + +.. _PolTypeset*: + +``\PolTypeset*{}`` +~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolTypeset*{}`` + + Typesets in ascending powers. Use ``[]`` optional argument + (after the ``*``) to use another letter than ``x``. + + Extended at ``0.8`` to accept general expressions and not only + polynomial names. Redefine `\\PolToExprInVar`_ to use in the + expression another letter than default ``x``. + + +.. _PolLet: + +``\PolLet{}={}`` +~~~~~~~~~~~~~~~~ + +Syntax: ``\PolLet{}={}`` + + Makes a copy of the already defined polynomial ``polname_1`` to a + new one ``polname_2``. This has the same effect as + ``\PolDef{}{(x)}`` or (better) + ``\PolDef{}{}`` but with less overhead. The + ``=`` is optional. + +.. _PolGlobalLet: + +``\PolGlobalLet{}={}`` +~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolGlobalLet{}={}`` + + Acts globally. + +.. _PolAssign: + +``\PolAssign{}\toarray{}`` +~~~~~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolAssign{}\toarray{<\macro>}`` + + Defines a one-argument expandable macro ``\macro{#1}`` which expands + to the (raw) #1th polynomial coefficient. + + - Attention, coefficients here are indexed starting at 1. This is + an unfortunate legacy situation related to the original indexing + convention in xinttools_ arrays. + + - With #1=-1, -2, ..., ``\macro{#1}`` returns leading coefficients. + + - With #1=0, returns the number of coefficients, i.e. ``1 + deg f`` + for non-zero polynomials. + + - Out-of-range #1's return ``0/1[0]``. + + See also :ref:`\\PolNthCoeff{\}{\} `. + +.. _PolGet: + +``\PolGet{}\fromarray{}`` +~~~~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolGet{}\fromarray{<\macro>}`` + + Does the converse operation to + ``\PolAssign{}\toarray\macro``. Each individual + ``\macro{}`` gets expanded in an ``\edef`` and then normalized + via xintfrac_\ 's macro ``\xintRaw``. + + The leading zeros are removed from the polynomial. + + (contrived) Example:: + + \xintAssignArray{1}{-2}{5}{-3}\to\foo + \PolGet{f}\fromarray\foo + + This will define ``f`` as would have ``\poldef f(x):=1-2x+5x^2-3x^3;``. + + .. vieux commentaire + + Prior to ``0.5``, coefficients were not normalized via + ``\xintRaw`` for internal storage. + +.. _PolFromCSV: + +``\PolFromCSV{}{}`` +~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolFromCSV{}{}`` + + Defines a polynomial directly from the comma separated list of values + (or a macro expanding to such a list) of its coefficients, the *first + item* gives the constant term, the *last item* gives the leading + coefficient, except if zero, then it is dropped (iteratively). List + items are each expanded in an ``\edef`` and then put into normalized + form via xintfrac_\ 's macro ``\xintRaw``. + + As leading zero coefficients are removed:: + + \PolFromCSV{f}{0, 0, 0, 0, 0, 0, 0, 0, 0, 0} + + defines the zero polynomial, which holds only one coefficient. + + See also expandable macro :ref:`\\PolToCSV{\} `. + + .. vieux commentaire + + Prior to ``0.5``, coefficients were not normalized via + ``\xintRaw`` for internal storage. + + +.. _PolMapCoeffs: + +``\PolMapCoeffs{}{}`` +~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolMapCoeffs{\macro}{}`` + + It modifies ('in-place': original coefficients get lost) each + coefficient of the defined polynomial via the *expandable* macro + ``\macro``. The degree is adjusted as necessary if some leading + coefficients vanish after the operation. + + In the replacement text of ``\macro``, ``\index`` expands to the + coefficient index (starting at zero for the constant term). + + Notice that ``\macro`` will have to handle inputs in the xintfrac_ + internal format. This means that it probably will have to be + expressed in terms of macros from the xintfrac_ package. + + Example:: + + \def\foo#1{\xintMul{#1}{\the\numexpr\index*\index\relax}} + + (or with ``\xintSqr{\index}``) to replace ``n``-th coefficient + ``f_n`` by ``f_n*n^2``. + +.. _PolReduceCoeffs: + +``\PolReduceCoeffs{}`` +~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolReduceCoeffs{}`` + + Reduces the internal representations of the coefficients to + their lowest terms. + +.. _PolReduceCoeffs*: + +``\PolReduceCoeffs*{}`` +~~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolReduceCoeffs*{}`` + + Reduces the internal representations of the coefficients to their + lowest terms, but ignoring a possible separated "power of ten part". + + For example, xintfrac_ stores an ``30e2/50`` input as ``30/50`` with + a separate ``10^2`` part. This will thus get replaced by ``3e^2/5`` + (or rather whatever xintfrac_ uses for internal representation), and + not by ``60`` as would result from complete reduction. + + Evaluations with polynomials treated by this can be much faster than + with those handled by the non-starred variant + :ref:`\\PolReduceCoeffs{\} `: as the numerators and denominators + remain generally smaller. + +.. _PolMakeMonic: + +``\PolMakeMonic{}`` +~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolMakeMonic{}`` + + Divides by the leading coefficient. It is recommended to execute + :ref:`\\PolReduceCoeffs*{\} ` immediately afterwards. This is not + done automatically, in case the original polynomial had integer + coefficients and the user wants to keep the leading one as common + denominator for typesetting purposes. + +.. _PolMakePrimitive: + +``\PolMakePrimitive{}`` +~~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolMakePrimitive{}`` + + Divides by the integer content see (`\\PolIContent`_). + This thus produces a polynomial with integer + coefficients having no common factor. The sign of the leading + coefficient is not modified. + +.. _PolDiff: + +``\PolDiff{}{}`` +~~~~~~~~~~~~~~~~ + +Syntax: ``\PolDiff{}{}`` + + This sets ``polname_2`` to the first derivative of ``polname_1``. It + is allowed to issue ``\PolDiff{f}{f}``, effectively replacing ``f`` + by ``f'``. + + Coefficients of the result ``polname_2`` are irreducible fractions + (see `Technicalities`_ for the whole story.) + +.. _PolDiff[]: + +``\PolDiff[]{}{}`` +~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolDiff[N]{}{}`` + + This sets ``polname_2`` to the ``N``-th derivative of ``polname_1``. + Identical arguments is allowed. With ``N=0``, same effect as + ``\PolLet{}={}``. With negative ``N``, switches to + using ``\PolAntiDiff``. + +.. _PolAntiDiff: + +``\PolAntiDiff{}{}`` +~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolAntiDiff{}{}`` + + This sets ``polname_2`` to the primitive of ``polname_1`` vanishing + at zero. + + Coefficients of the result ``polname_2`` are irreducible fractions + (see `Technicalities`_ for the whole story.) + +.. _PolAntiDiff[]: + +``\PolAntiDiff[]{}{}`` +~~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolAntiDiff[N]{}{}`` + + This sets ``polname_2`` to the result of ``N`` successive integrations on + ``polname_1``. With negative ``N``, it switches to using ``\PolDiff``. + +.. _PolDivide: + +``\PolDivide{}{}{}{}`` +~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolDivide{}{}{}{}`` + + This sets ``polname_Q`` and ``polname_R`` to be the quotient and + remainder in the Euclidean division of ``polname_1`` by + ``polname_2``. + +.. _PolQuo: + +``\PolQuo{}{}{}`` +~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolQuo{}{}{}`` + + This sets ``polname_Q`` to be the quotient in the Euclidean division + of ``polname_1`` by ``polname_2``. + +.. _PolRem: + +``\PolRem{}{}{}`` +~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolRem{}{}{}`` + + This sets ``polname_R`` to be the remainder in the Euclidean division + of ``polname_1`` by ``polname_2``. + +.. _PolGCD: + +``\PolGCD{}{}{}`` +~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolGCD{}{}{}`` + + This sets ``polname_GCD`` to be the (monic) GCD of ``polname_1`` + and ``polname_2``. It is a unitary polynomial except if both + ``polname_1`` and ``polname_2`` vanish, then ``polname_GCD`` is the + zero polynomial. + +.. ``\PolIGCD{}{}{polname_iGCD}`` + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + **NOT YET** + + This **assumes** that the two polynomials have integer coefficients. + It then computes the greatest common divisor in the integer + polynomial ring, normalized to have a positive leading coefficient + (if the inputs are not both zero). + + +Root localization routines via the `Sturm Theorem`_ +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +As :ref:`\\PolToSturm{\}{\} ` and +:ref:`\\PolSturmIsolateZeros{\} ` and variants declare +additional polynomial or scalar variables with names based on ```` as +prefix, it is advisable to keep the ```` namespace separate from +the one applying to ``\xintexpr`` variables generally, or to polynomials. + +.. _PolToSturm: + +``\PolToSturm{}{}`` +^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolToSturm{}{}`` + + With ```` being for example ``P``, and ```` being + for example ``S``, the macro starts by computing the derivative + ``P'``, then computes the opposite of the remainder in the euclidean + division of ``P`` by ``P'``, then the opposite of the remainder in + the euclidean division of ``P'`` by the first obtained polynomial, + etc... Up to signs following the ``--++--++...`` pattern, these are + the same remainders as in the Euclide algorithm applied to the + computation of the GCD of ``P`` and ``P'``. + + The precise process differs from the above description: the + algorithm first sets ``S_0_`` to be the *primitive part* of ``P`` + and ``S_1_`` to be the *primitive part* of ``P'`` (see + :ref:`\\PolIContent{\} `), then at each step + the remainder is made primitive and stored for internal reference as + ``S_k_``, so only integer-coefficients polynomials are manipulated. + + .. warning:: + + This exact procedure will perhaps in future be replaced by a + *sub-resultant algorithm*, which may bring some speed gain in + obtaining a pseudo-Sturm sequence, but some experimenting is + needed, in the context of realistically realizable computations + by the package; primitive polynomials although a bit costly + have the smallest coefficients hence are the best for the kind of + computations done for root localization, after having computed a + Sturm sequence. + + The last non-zero primitivized remainder ``S_N_`` is, up to sign, + the primitive part of the GCD of ``P`` and ``P'``. Its roots (real + and complex) are the multiple roots of the original ``P``. The + original ``P`` was "square-free" (i\.e\. did not have multiple real + or complex roots) if and only if ``S_N_`` is a constant, which is + then ``+1`` or ``-1`` (its value before primitivization is lost). + + The macro then divides each ``S_k_`` by ``S_N_`` and declares the + quotients ``S_k`` as user polynomials for future use. By Gauss + theorem about the contents of integer-coefficients polynomials, + these ``S_k`` also are primitive integer-coefficients polynomials. + + This step will be referred to as *normalization*, and in this + documentation the obtained polynomials are said to constitute the + "Sturm chain" (or "Sturm sequence"), i.e. by convention the "Sturm + chain polynomials" are square-free and primitive. The possibly + non-square-free ones are referred to as *non-normalized*. + + As an exception to the rule, if the original ``P`` was "square-free" + (i\.e\. did not have multiple real or complex roots) then + normalization is skipped (in that case ``S_N_`` is either ``+1`` or + ``-1``), so ``S_0_`` is exactly the primitive part of starting + polynomial ``P``, in the "square-free" case. + + The next logical step is to execute `\\PolSturmIsolateZeros{S} + `_ or one of its variants. Be careful not to + use the names ``sturmname_0``, ``sturmname_1``, etc... for defining + other polynomials after having done + ``\PolToSturm{}{}`` and before executing + ``\PolSturmIsolateZeros{}`` or its variants else the + latter will behave erroneously. + + .. note:: + + The declaration of the ``S_k``\ 's will overwrite + with no warning previously declared polynomials with identical + names ``S_k``. This is original reason why the macro expects two + names: ```` and ````. + + It is allowed to use the polynomial name ``P`` as Sturm chain + name ``S``: ``\PolToSturm{f}(f}``, but of course fusing the + namespaces is slightly dangerous. And, also `\\PolSturmIsolateZeros + `_ creates variables sharing + the ```` prefix, which must be taken into account to + avoid name clashes. + + .. warning:: + + The reason why the ``S_k``\ 's are declared as polynomials is + that the associated polynomial functions are needed to compute + the sign changes in the Sturm sequence evaluated at a given + location, as this is the basis mechanism of `\\PolSturmIsolateZeros + `_ (on the basis of the `Sturm theorem`_). + + It is possible that in future the package will only internally + construct such polynomial functions and only the starred variant + will make the normalized (i.e. square-free) Sturm sequence public. + + The integer ``N`` giving the length of the Sturm chain ``S_0``, + ``S_1``, ..., ``S_N`` is available as + :ref:`\\PolSturmChainLength{\} `. If all roots of original ``P`` + are real, then ``N`` is both the number of distinct real roots and + the degree of ``S_0``. In the case of existence of complex roots, + the number of distinct real roots is at most ``N`` and ``N`` is at + most the degree of ``S_0``. + +.. _PolToSturm*: + +``\PolToSturm*{}{}`` +^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolToSturm*{}{}`` + + Does the same as `un-starred version `_ and additionally it + keeps for user usage the memory of the *un-normalized* (but still + made primitive) Sturm chain + polynomials ``sturmname_k_``, ``k=0,1, ..., N``, with + ``N`` being :ref:`\\PolSturmChainLength{\} `. + + .. comment + + The square-free part of ```` is ``sturmname_0``, and their + quotient is the polynomial with name + ``sturmname_\PolSturmChainLength{}_``. It thus easy to + set-up a loop iteratively computing the latter until the last one + is a constant, thus obtaining the decomposition of an ``f`` as + a product ``c f_1 f_2 f_3 ...`` of a constant and square-free (primitive) + polynomials, where each ``f_i`` divides its predecessor. + +.. _PolSturmIsolateZeros: + +``\PolSturmIsolateZeros{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmIsolateZeros{}`` + + The macro locates, using the `Sturm Theorem`_, as many disjoint + intervals as there are distinct real roots. + + .. important:: + + The Sturm chain must have been produced by an earlier + :ref:`\\PolToSturm{\}{\} `. + + After its execution they are two types of such intervals (stored in + memory and accessible via macros or xintexpr_ variables, see below): + + - singleton ``{a}``: then ``a`` is a root, (necessarily a decimal + number, but not all such decimal numbers are exactly identified yet). + + - open intervals ``(a,b)``: then there is exactly one root ``z`` + such that ``a < z < b``, and the end points are guaranteed to not + be roots. + + The interval boundaries are decimal numbers, originating + in iterated decimal subdivision from initial intervals + ``(-10^E, 0)`` and ``(0, 10^E)`` with ``E`` chosen initially large + enough so that all roots are enclosed; if zero is a root it is always + identified as such. The non-singleton intervals are of the + type ``(a/10^f, (a+1)/10^f)`` with ``a`` an integer, which is + neither ``0`` nor ``-1``. Hence either ``a`` and ``a+1`` are both positive + or they are both negative. + + One does not *a priori* know what will be the lengths of these + intervals (except that they are always powers of ten), they + vary depending on how many digits two successive roots have in + common in their respective decimal expansions. + + .. important:: + + If some two consecutive intervals share an end-point, no + information is yet gained about the separation between the two + roots which could at this stage be arbitrarily small. + + See :ref:`\\PolRefineInterval*{\}{\} ` which addresses + this issue. + + .. This procedure is covariant + with the independent variable ``x`` becoming ``-x``. + Hmm, pas sûr et trop fatigué + + Let us suppose ```` is ``S``. + + The interval boundaries (and exactly found roots) are made available + for future computations in ``\xintexpr/xinteval`` or ``\poldef`` as + variables ``SL_1``, ``SL_2``, etc..., for the left end-points and + ``SR_1``, ``SR_2``, ..., for the right end-points. + + Additionally, xintexpr_ variable ``SZ_1_isknown`` will have value + ``1`` if the root in the first interval is known, and ``0`` + otherwise. And similarly for the other intervals. + + .. important:: + + The variable declarations are done with no check of existence of + previously existing variables with identical names. + + Also, macros :ref:`\\PolSturmIsolatedZeroLeft{\}{\} ` and + :ref:`\\PolSturmIsolatedZeroRight{\}{\} ` are provided which + expand to these same values, written in decimal notation (i.e. + pre-processed by `\\PolDecToString `_.) And there + is also :ref:`\\PolSturmIfZeroExactlyKnown{\}{\}{T}{F} `. + + .. important:: + + Trailing zeroes in the stored decimal numbers accessible via the + macros are significant: they are also present in the decimal + expansion of the exact root, so as to be able for example to + print out bounds of real roots with as many digits as is + significant, even if the digits are zeros. + + The start of the decimal expansion of the ````-th root is given by + `\\PolSturmIsolatedZeroLeft{}{} + `_ if the root is positive, and by + `\PolSturmIsolatedZeroRight{}{} + `_ if the root is neagtive. These two + decimal numbers are either both zero or both of the same sign. + + The number of distinct roots is obtainable expandably as + :ref:`\\PolSturmNbOfIsolatedZeros{\} `. + + Furthermore + :ref:`\\PolSturmNbOfRootsOf{\}\\LessThanOrEqualTo{\} ` and + :ref:`\\PolSturmNbOfRootsOf{\}\\LessThanOrEqualToExpr{\} `. + will expandably compute respectively the number of real roots at + most equal to ``value`` or ``expression``, and the same but with + multiplicities. + + These variables and macros are automatically updated in case of + subsequent usage of :ref:`\\PolRefineInterval*{\}{\} ` or + other localization improving macros. + + .. note:: + + The current polexpr implementation defines the xintexpr_ variables + and xinttools_ arrays as described above with global scope. On the + other hand the Sturm sequence polynomials obey the current scope. + + This is perhaps a bit inconsistent and may change in future. + + .. note:: + + The results are exact + bounds for the mathematically exact real roots. + + Future releases will perhaps also provide macros based on Newton + or Regula Falsi methods. Exact computations with such methods + lead however quickly to very big fractions, and this forces usage + of some rounding scheme for the abscissas if computation times + are to remain reasonable. This raises issues of its own, which + are studied in numerical mathematics. + +.. _PolSturmIsolateZeros*: + +``\PolSturmIsolateZeros*{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmIsolateZeros*{}`` + + The macro does the same as :ref:`\\PolSturmIsolateZeros{\} ` and + then in addition it does the extra work to determine all + multiplicities of the real roots. + + After execution, + :ref:`\\PolSturmIsolatedZeroMultiplicity{\}{\} ` expands + to the multiplicity of the root located in the ``index``\ -th + interval (intervals are enumerated from left to right, with index + starting at ``1``). + + Furthermore, if for example the ```` is ``S``, xintexpr_ + variables ``SM_1``, ``SM_2``... hold the multiplicities thus + computed. + + .. note:: + + Somewhat counter-intuitively, it is not necessary to have + executed the :ref:`\\PolToSturm* ` + starred variant: during its + execution, :ref:`\\PolToSturm `, + even though it does not declare the + non-square-free Sturm chain polynomials as user-level genuine + polynomials, stores their data in private macros. + + See ``The degree nine polynomial with 0.99, 0.999, 0.9999 as triple + roots`` example in ``polexpr-examples.pdf``. + +.. _PolSturmIsolateZerosAndGetMultiplicities: + +``\PolSturmIsolateZerosAndGetMultiplicities{}`` +*********************************************** + +Syntax: ``\PolSturmIsolateZerosAndGetMultiplicities{}`` + + This is another name for :ref:`\\PolSturmIsolateZeros*{\} `. + +.. _PolSturmIsolateZeros**: + +``\PolSturmIsolateZeros**{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmIsolateZeros**{}`` + + The macro does the same as :ref:`\\PolSturmIsolateZeros*{\} ` and + in addition it does the extra work to determine all the *rational* + roots. + + .. note:: + + After execution of this macro, a root is "known" if and only if + it is rational. + + Furthermore, primitive polynomial ``sturmname_sqf_norr`` is created + to match the (square-free) ``sturmname_0`` from which all rational + roots have been removed. The number of distinct rational roots is + thus the difference between the degrees of these two polynomials + (see also :ref:`\\PolSturmNbOfRationalRoots{\} + `). + + And ``sturmname_norr`` is ``sturmname_0_`` from which all rational + roots have been removed, i.e. it contains the irrational roots of + the original polynomial, with the same multiplicities. + + See ``A degree five polynomial with three rational + roots`` in ``polexpr-examples.pdf``. + +.. _PolSturmIsolateZerosGetMultiplicitiesAndRationalRoots: + +``\PolSturmIsolateZerosGetMultiplicitiesAndRationalRoots`` +********************************************************** + +Syntax: ``\PolSturmIsolateZerosGetMultiplicitiesAndRationalRoots`` + + This is another name for :ref:`\\PolSturmIsolateZeros**{\} `. + +.. _PolSturmIsolateZerosAndFindRationalRoots: + +``\PolSturmIsolateZerosAndFindRationalRoots{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmIsolateZerosAndFindRationalRoots{}`` + + This works exactly like :ref:`\\PolSturmIsolateZeros**{\} ` + (inclusive of declaring the polynomials ``sturmname_sqf_norr`` and + ``sturmname_norr`` with no rational roots) except that it does *not* + compute the multiplicities of the *non-rational* roots. + + .. note:: + + There is no macro to find the rational roots but not compute + their multiplicities at the same time. + + .. attention:: + + This macro does *not* define xintexpr_ variables + ``sturmnameM_1``, ``sturmnameM_2``, ... holding the + multiplicities and it leaves the multiplicity array (whose accessor + is :ref:`\\PolSturmIsolatedZeroMultiplicity{\}{\} `) into + a broken state, as all non-rational roots will supposedly have + multiplicity one. This means that the output of + `\\PolPrintIntervals* `_ will be + erroneous regarding the multiplicities of irrational roots. + + I decided to document it because finding multiplicities of the + non rational roots is somewhat costly, and one may be interested + only into finding the rational roots (of course random + polynomials with integer coefficients will not have *any* + rational root anyhow). + + +.. _PolRefineInterval*: + +``\PolRefineInterval*{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolRefineInterval*{}{}`` + + The ``index``\ -th interval (starting indexing at one) is further + subdivided as many times as is necessary in order for the newer + interval to have both its end-points distinct from the end-points of + the original interval. As a consequence, the ``k``\ th root is then + strictly separated from the other roots. + +.. _PolRefineInterval[]: + +``\PolRefineInterval[]{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolRefineInterval[N]{}{}`` + + The ``index``\ -th interval (starting count at one) is further + subdivided once, reducing its length by a factor of 10. This is done + ``N`` times if the optional argument ``[N]`` is present. + +.. _PolEnsureIntervalLength: + +``\PolEnsureIntervalLength{}{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolEnsureIntervalLength{}{}{}`` + + The ``index``\ -th interval is subdivided until its length becomes at + most ``10^E``. This means (for ``E<0``) that the first ``-E`` digits + after decimal mark of the ``k``\ th root will then be known exactly. + +.. _PolEnsureIntervalLengths: + +``\PolEnsureIntervalLengths{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolEnsureIntervalLengths{}{}`` + + The intervals as obtained from ``\PolSturmIsolateZeros`` are (if + necessary) subdivided further by (base 10) dichotomy in order for + each of them to have length at most ``10^E``. + + This means that decimal expansions of all roots will be known with + ``-E`` digits (for ``E<0``) after decimal mark. + +.. _PolSetToSturmChainSignChangesAt: + +``\PolSetToSturmChainSignChangesAt{}{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSetToSturmChainSignChangesAt{\foo}{}{}`` + + Sets macro ``\foo`` to store the number of sign changes in the + already computed normalized Sturm chain with name prefix + ````, at location ```` (which must be in format as + acceptable by the xintfrac_ macros.) + + The definition is made with global scope. For local scope, use + ``[\empty]`` as extra optional argument. + + One can use this immediately after creation of the Sturm chain. + +.. _PolSetToNbOfZerosWithin: + +``\PolSetToNbOfZerosWithin{}{}{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSetToNbOfZerosWithin{\foo}{}{}{}`` + + Sets, assuming the normalized Sturm chain has been already computed, + macro ``\foo`` to store the number of roots of ``sturmname_0`` in + the interval ``(value_left, value_right]``. The macro first + re-orders end-points if necessary for ``value_left <= value_right`` + to hold. + + In accordance to `Sturm Theorem`_ this is computed as the difference + between the number of sign changes of the Sturm chain at ``value_right`` + and the one at ``value_left``. + + The definition is made with global scope. For local scope, use + ``[\empty]`` as extra optional argument. + + One can use this immediately after creation of a Sturm chain. + + See also the expandable + :ref:`\\PolSturmNbOfRootsOf{\}\\LessThanOrEqualTo{value} `, + which however requires prior execution of `\\PolSturmIsolateZeros + `_. + + See also the expandable + :ref:`\\PolSturmNbWithMultOfRootsOf{\}\\LessThanOrEqualTo{value} ` + which requires prior execution of + `\\PolSturmIsolateZeros* `_. + +.. _PolPrintIntervals: + +Displaying the found roots: ``\PolPrintIntervals[]{}`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolPrintIntervals[]{}`` + + This is a convenience macro which prints the bounds for the roots + ``Z_1``, ``Z_2``, ... (the optional argument ``varname`` allows to + specify a replacement for the default ``Z``). This will be done (by + default) in a + math mode ``array``, one interval per row, and pattern ``rcccl``, + where the second and fourth column hold the ``<`` sign, except when + the interval reduces to a singleton, which means the root is known + exactly. + + .. note:: + + The explanations here and in this section are for LaTeX. With + other TeX macro formats, the LaTeX syntax such as for example + ``\begin{array}{rcccl}`` which appears in the documentation here + is actually replaced with quasi-equivalent direct use of TeX + primitives. + + The next macros which govern its output. + +.. _PolPrintIntervalsNoRealRoots: + +``\PolPrintIntervalsNoRealRoots`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + Executed in place of an ``array`` environment, when there are no + real roots. Default definition:: + + \newcommand\PolPrintIntervalsNoRealRoots{} + +.. _PolPrintIntervalsBeginEnv: + +``\PolPrintIntervalsBeginEnv`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + Default definition (given here for LaTeX, Plain has a variant):: + + \newcommand\PolPrintIntervalsBeginEnv{\[\begin{array}{rcccl}} + + A simpler ``center`` environment provides a straightforward way to + obtain a display allowing pagebreaks. Of course redefinitions must + at any rate be kept in sync with `\\PolPrintIntervalsKnownRoot`_ and + `\\PolPrintIntervalsUnknownRoot`_. + + Prior to ``0.8.6`` it was not possible to use here for example + ``\begin{align}`` due to the latter executing twice in contents. + + +.. _PolPrintIntervalsEndEnv: + +``\PolPrintIntervalsEndEnv`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + Default definition:: + + \newcommand\PolPrintIntervalsEndEnv{\end{array}\]} + +.. _PolPrintIntervalsRowSeparator: + +``\PolPrintIntervalsRowSeparator`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + Expands by default to ``\\`` with LaTeX and to ``\cr`` with Plain + + Added at ``0.8.6``. + +.. _PolPrintIntervalsKnownRoot: + +``\PolPrintIntervalsKnownRoot`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + Default definition:: + + \newcommand\PolPrintIntervalsKnownRoot{% + &&\PolPrintIntervalsTheVar_{\PolPrintIntervalsTheIndex}% + &=&\PolPrintIntervalsPrintExactZero + } + +.. _PolPrintIntervalsUnknownRoot: + +``\PolPrintIntervalsUnknownRoot`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + Default definition:: + + \newcommand\PolPrintIntervalsUnknownRoot{% + \PolPrintIntervalsPrintLeftEndPoint&<&% + \PolPrintIntervalsTheVar_{\PolPrintIntervalsTheIndex}&<&% + \PolPrintIntervalsPrintRightEndPoint + } + + +.. _PolPrintIntervalsPrintExactZero: + +``\PolPrintIntervalsPrintExactZero`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + Default definition:: + + \newcommand\PolPrintIntervalsPrintExactZero{\PolPrintIntervalsTheLeftEndPoint} + + +.. _PolPrintIntervalsPrintLeftEndPoint: + +``\PolPrintIntervalsPrintLeftEndPoint`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + Default definition:: + + \newcommand\PolPrintIntervalsPrintLeftEndPoint{\PolPrintIntervalsTheLeftEndPoint} + +.. _PolPrintIntervalsPrintRightEndPoint: + +``\PolPrintIntervalsPrintRightEndPoint`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + Default definition is:: + + \newcommand\PolPrintIntervalsPrintRightEndPoint{\PolPrintIntervalsTheRightEndPoint} + +.. _PolPrintIntervals*: + +``\PolPrintIntervals*[]{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolPrintIntervals*[]{}`` + + This starred variant produces an alternative output (which + displays the root multiplicity), and is provided as an + example of customization. + + As replacement for `\\PolPrintIntervalsKnownRoot`_, + `\\PolPrintIntervalsPrintExactZero`_, + `\\PolPrintIntervalsUnknownRoot`_ it uses its own + ``\POL@@PrintIntervals...`` macros. We only reproduce here one + definition:: + + \newcommand\POL@@PrintIntervalsPrintExactZero{% + \displaystyle + \xintTeXsignedFrac{\PolPrintIntervalsTheLeftEndPoint}% + }% + + Multiplicities are printed using this auxiliary macro: + +.. _PolPrintIntervalsPrintMultiplicity: + +``\PolPrintIntervalsPrintMultiplicity`` +*************************************** + + whose default definition is:: + + \newcommand\PolPrintIntervalsPrintMultiplicity{(\mbox{mult. }\PolPrintIntervalsTheMultiplicity)} + + +Expandable macros +----------------- + +.. note:: + + At ``0.8`` ``polexpr`` is usable with Plain TeX and not only with + LaTeX. Some examples given in this section may be using LaTeX syntax + such as ``\renewcommand``. Convert to TeX primitives as appropriate + if testing with a non LaTeX macro format. + +These macros expand completely in two steps except ``\PolToExpr`` and +``\PolToFloatExpr`` which need a ``\write``, ``\edef`` or a +``\csname...\endcsname`` context. + +.. _PolToExpr: + +``\PolToExpr{}`` +~~~~~~~~~~~~~~~~ + +Syntax: ``\PolToExpr{}`` + + Produces expandably [#]_ the string ``coeff_N*x^N+...``, i.e. the + polynomial is using descending powers. + + .. [#] requires exhaustive expansion, for example as triggered by + ``\write`` or ``\edef``. + + Since ``0.8`` the input is not restricted to be a polynomial name but + is allowed to be an arbitrary expression. Then ``x`` is expected as + indeterminate but this can be customized via `\\PolToExprInVar`_. + + The output uses the letter ``x`` by default, this is customizable + via `\\PolToExprVar`_. The default output is compatible both with + + - the Maple's input format, + + - and the PSTricks ``\psplot[algebraic]`` input format. + + Attention that it is not compatible with Python, see further + `\\PolToExprCaret`_ in this context. + + The following applies: + + - vanishing coefficients are skipped (issue ``\poltoexpralltrue`` to + override this and produce output such as ``x^3+0*x^2+0*x^1+0``), + + - negative coefficients are not prefixed by a ``+`` sign (else, + Maple would not be happy), + + - coefficients numerically equal to ``1`` (or ``-1``) are present + only via their sign, + + - the letter ``x`` is used and the degree one monomial is output as + ``x``, not as ``x^1``. + + - (``0.8``) the caret ``^`` is of catcode 12. This means that one + can for convenience typeset in regular text mode, for example + using ``\texttt`` (in LaTeX). But TeX will not know how to break + the expression across end-of-lines anyhow. Formerly ``^`` was + suitable for math mode but as the exponent is not braced this + worked only for polynomials of degrees at most 9. Anyhow this + is not supposed to be a typesetting macro. + + Complete customization is possible, see the next macros. Any user + redefinition must maintain the expandability property. + +.. _PolToExprVar: + +``\PolToExprVar`` +^^^^^^^^^^^^^^^^^ + + Defaults to ``x``. The letter used in the macro output. + + +.. _PolToExprInVar: + +``\PolToExprInVar`` +^^^^^^^^^^^^^^^^^^^ + + Defaults to ``x``: the letter used as the polynomial indeterminate + in the macro input. + + Recall that declared polynomials are more efficiently used in + algebraic expressions without the ``(x)``, i.e. ``P*Q`` is better + than ``P(x)*Q(x)``. Thus the input, even if an expression, does not + have to contain any ``x``. + + (new with ``0.8``) + +.. _PolToExprTimes: + +``\PolToExprTimes`` +^^^^^^^^^^^^^^^^^^^ + + Defaults to ``*``. + +.. _PolToExprCaret: + +``\PolToExprCaret`` +^^^^^^^^^^^^^^^^^^^ + + Defaults to ``^`` of catcode 12. Set it to + expand to ``**`` for Python compatible output. + + (new with ``0.8``) + +.. _PolToExprCmd: + +``\PolToExprCmd{}`` +^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolToExprCmd{}`` + + Defaults to ``\xintPRaw{\xintRawWithZeros{#1}}``. + + This means that the coefficient value is printed-out as a fraction + ``a/b``, skipping the ``/b`` part if ``b`` turns out to be one. + + Configure it to be ``\xintPRaw{\xintIrr{#1}}`` if the fractions + must be in irreducible terms. + + An alternative is ``\xintDecToString{\xintREZ{#1}}`` which uses + integer or decimal fixed point format such as ``23.0071`` if the + internal representation of the number only has a power of ten as + denominator (the effect of ``\xintREZ`` here is to remove trailing + decimal zeros). The behaviour of ``\xintDecToString`` is not yet + stable for other cases, and for example at time of writing no + attempt is made to identify inputs having a finite decimal expansion + so for example ``23.007/2`` or ``23.007/25`` can appear in output + and not their finite decimal expansion with no denominator. + +.. _PolToExprOneTerm: + +``\PolToExprOneTerm{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolToExprOneTerm{}{}`` + + This is the macro which from the coefficient and the exponent + produces the corresponding term in output, such as ``2/3*x^7``. + + For its default definition, see the source code. It uses + `\\PolToExprCmd `_, `\\PolToExprTimes + `_, `\\PolToExprVar `_ and + `\\PolToExprCaret`_. + +.. _PolToExprOneTermStyleA: + +``\PolToExprOneTermStyleA{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolToExprOneTermStyleA{}{}`` + + This holds the default package meaning of ``\PolToExprOneTerm``. + +.. _PolToExprOneTermStyleB: + +``\PolToExprOneTermStyleB{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolToExprOneTermStyleB{}{}`` + + This holds an alternative meaning, which puts the fractional part of + a coefficient after the monomial, i.e. like this:: + + 2*x^11/3+3*x^8/7-x^5-x^4/4-x^3-x^2/2-2*x+1 + + `\\PolToExprCmd `_ isn't used at all in this style. But + `\\PolToExprTimes `_, `\\PolToExprVar + `_ and `\\PolToExprCaret`_ are obeyed. + + To activate it use ``\let\PolToExprOneTerm\PolToExprOneTermStyleB``. + To revert to the package default behaviour, issue + ``\let\PolToExprOneTerm\PolToExprOneTermStyleA``. + +.. _PolToExprTermPrefix: + +``\PolToExprTermPrefix{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolToExprTermPrefix{}`` + + It receives as argument the coefficient. Its default behaviour is + to produce a ``+`` if the coefficient is positive, which will thus + serve to separate the monomials in the output. This is to match + the default for :ref:`\\PolToExprCmd{\} ` which in case of a + positive coefficient does not output an explicit ``+`` prefix. + +.. _PolToFloatExpr: + +``\PolToFloatExpr{}`` +~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolToFloatExpr{}`` + + Similar to :ref:`\\PolToExpr{\} ` but using + :ref:`\\PolToFloatExprCmd{\} ` which by default rounds and + converts the coefficients to floating point format. + + .. note:: + + This is unrelated to :ref:`\\PolGenFloatVariant{\} `: + :ref:`\\PolToFloatExprCmd{\} ` operates on the *exact* + coefficients anew (and may thus produce something else than + the coefficients of the polynomial function acting + in ``\xintfloateval`` if the floating point precision was changed + in between). + + Extended at ``0.8`` to accept general expressions as input. + +.. _PolToFloatExprOneTerm: + +``\PolToFloatExprOneTerm{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolToFloatExprOneTerm{}{}`` + + Similar to :ref:`\\PolToExprOneTerm{\}{\} `. But does not treat + especially coefficients equal to plus or minus one. + +.. _PolToFloatExprCmd: + +``\PolToFloatExprCmd{}`` +^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolToFloatExprCmd{}`` + + The one-argument macro used by ``\PolToFloatExprOneTerm``. + It defaults to ``\xintPFloat{#1}``, which trims trailing + zeroes. + + *changed at 0.8.2* Formerly it was using ``\xintFloat``. + +.. _PolToExpr*: + +``\PolToExpr*{}`` +~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolToExpr*{}`` + + Ascending powers: ``coeff_0+coeff_1*x+coeff_2*x^2+...``. + + Extended at ``0.8`` to accept general expressions as input. + + Customizable with the same macros as for + :ref:`\\PolToExpr{\} `. + +.. _PolToFloatExpr*: + +``\PolToFloatExpr*{}`` +~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolToFloatExpr*{}`` + + Ascending powers. + + Extended at ``0.8`` to accept general expressions as input. + +.. _PolNthCoeff: + +``\PolNthCoeff{}{}`` +~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolNthCoeff{}{}`` + + It expands to the raw ``N``-th coefficient (``N=0`` corresponds to + the constant coefficient). If ``N`` is out of range, zero (in its + default xintfrac_ format ``0/1[0]``) is returned. + + Negative indices ``N=-1``, ``-2``, ... return the leading + coefficient, sub-leading coefficient, ..., and finally ``0/1[0]`` + for ``N<-1-degree``. + +.. _PolLeadingCoeff: + +``\PolLeadingCoeff{}`` +~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolLeadingCoeff{}`` + + Expands to the leading coefficient. + +.. _PolDegree: + +``\PolDegree{}`` +~~~~~~~~~~~~~~~~ + +Syntax: ``\PolDegree{}`` + + It expands to the degree. This is ``-1`` if zero polynomial but this + may change in future. Should it then expand to ``-\infty`` ? + +.. _PolIContent: + +``\PolIContent{}`` +~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolIContent{}`` + + It expands to the contents of the polynomial, i.e. to the positive + fraction such that dividing by this fraction produces a polynomial + with integer coefficients having no common prime divisor. + + See `\\PolMakePrimitive `_. + +.. _PolToList: + +``\PolToList{}`` +~~~~~~~~~~~~~~~~ + +Syntax: ``\PolToList{}`` + + Expands to ``{coeff_0}{coeff_1}...{coeff_N}`` with ``N`` = degree, and + ``coeff_N`` the leading coefficient + (the zero polynomial does give ``{0/1[0]}`` and not an + empty output.) + +.. _PolToCSV: + +``\PolToCSV{}`` +~~~~~~~~~~~~~~~ + +Syntax: ``\PolToCSV{}`` + + Expands to ``coeff_0, coeff_1, coeff_2, ....., coeff_N``, starting + with constant term and ending with leading coefficient. Converse + to :ref:`\\PolFromCSV{\}{\} `. + + +.. _PolEvalAtExpr: + +``\PolEval{}\AtExpr{}`` +~~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolEval{}\AtExpr{}`` + + Same output as + ``\xinteval{polname(numerical expression)}``. + +.. _PolEvalAt: + +``\PolEval{}\At{}`` +~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolEval{}\At{}`` + + Evaluates the polynomial at the given value which must be in (or + expand to) a format acceptable to the xintfrac_ macros. + +.. _PolEvalReducedAtExpr: + +``\PolEvalReduced{}\AtExpr{}`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolEvalReduced{}\AtExpr{}`` + + Same output as ``\xinteval{reduce(polname(numerical expression))}``. + +.. _PolEvalReducedAt: + +``\PolEvalReduced{}\At{}`` +~~~~~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolEvalReduced{}\At{}`` + + Evaluates the polynomial at the value which must be in (or expand + to) a format acceptable to the xintfrac_ macros, and outputs an + irreducible fraction. + +.. _PolFloatEvalAtExpr: + +``\PolFloatEval{}\AtExpr{}`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolFloatEval{}\AtExpr{}`` + + Same output as ``\xintfloateval{polname(numerical expression)}``. + + .. attention:: + + `\\PolGenFloatVariant `_ must have + been issued before. + + To use the *exact coefficients* with *exactly executed* additions + and multiplications and do the rounding only as the final last step, + the following syntax can be used: [#]_ + + :: + + \xintfloateval{3.27*\xintexpr f(2.53)\relax^2} + + + .. [#] Cf. xintexpr_ documentation about nested expressions. + +.. _PolFloatEvalAt: + +``\PolFloatEval{}\At{}`` +~~~~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolFloatEval{}\At{}`` + + Evaluates the polynomial at the value which must be in (or expand + to) a format acceptable to the xintfrac_ macros. + + +Expandable macros in relation to root localization via `Sturm Theorem`_ +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +.. _PolSturmChainLength: + +``\PolSturmChainLength{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmChainLength{}`` + + Returns the integer ``N`` such that ``sturmname_N`` is the last one + in the Sturm chain ``sturmname_0``, ``sturmname_1``, ... + + See :ref:`\\PolToSturm{\}{\} `. + +.. _PolSturmIfZeroExactlyKnown: + +``\PolSturmIfZeroExactlyKnown{}{}{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmIfZeroExactlyKnown{}{}{T}{F}`` + + Executes ``T`` if the ``index``\ -th interval reduces to a singleton, + i.e. the root is known exactly, else ``F``. + + .. vieux commentaire + + ``index`` is allowed to be something like ``1+2*3`` as it is fed + to ``\the\numexpr...\relax``. + +.. _PolSturmIsolatedZeroLeft: + +``\PolSturmIsolatedZeroLeft{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmIsolatedZeroLeft{}{}`` + + Expands to the left end-point for the ``index``\ -th interval, as + computed by some earlier :ref:`\\PolSturmIsolateZeros{\} `. + + .. note:: + + Execution of this macro after some + `\\PolRefineInterval{}{} `_ + will take into account the now known tighter bounds. + + The value is pre-formatted using `\\PolDecTostring + `_. + +.. _PolSturmIsolatedZeroRight: + +``\PolSturmIsolatedZeroRight{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmIsolatedZeroRight{}{}`` + + Expands to the right end-point for the ``index``\ -th interval as + computed by some earlier :ref:`\\PolSturmIsolateZeros{\} ` and + possibly refined afterwards. + + The value is pre-formatted using `\\PolDecTostring + `_. + +.. _PolSturmIsolatedZeroMultiplicity: + +``\PolSturmIsolatedZeroMultiplicity{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmIsolatedZeroMultiplicity{}{}`` + + Expands to the multiplicity of the unique root contained in the + ``index``\ -th interval. + + .. attention:: + + A prior execution of :ref:`\\PolSturmIsolateZeros*{\} ` is mandatory. + + See ``The degree nine polynomial with 0.99, 0.999, 0.9999 as triple + roots`` in ``polexpr-examples.pdf``. + +.. _PolSturmNbOfIsolatedZeros: + +``\PolSturmNbOfIsolatedZeros{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmNbOfIsolatedZeros{}`` + + Expands to the number of real roots of the polynomial + ``_0``, i.e. the number of distinct real roots of the + polynomial originally used to create the Sturm chain via + :ref:`\\PolToSturm{\}{\} `. + +.. warning:: + + The next few macros counting roots, with or without multiplicities, + less than or equal to some value, are under evaluation and may be + removed from the package if their utility is judged to be not high + enough. They can be re-coded at user level on the basis of the other + documented package macros anyway. + +.. _PolSturmNbOfRootsOfLessThanOrEqualTo: + +``\PolSturmNbOfRootsOf{}\LessThanOrEqualTo{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmNbOfRootsOf{}\LessThanOrEqualTo{}`` + + Expands to the number of distinct roots (of the polynomial used to + create the Sturm chain) less than or equal to the ``value`` (i.e. a + number of fraction recognizable by the xintfrac_ macros). + + .. attention:: + + :ref:`\\PolSturmIsolateZeros{\} ` must have been executed + beforehand. + + And the argument is a ````, not a ```` (this is + why the macro contains Sturm in its name), simply to be reminded + of the above constraint. + +.. _PolSturmNbOfRootsOfLessThanOrEqualToExpr: + +``\PolSturmNbOfRootsOf{}\LessThanOrEqualToExpr{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmNbOfRootsOf{}\LessThanOrEqualToExpr{}`` + + Expands to the number of distinct roots (of the polynomial + used to create the Sturm chain) which are less than or equal to the + given numerical expression. + + .. attention:: + + :ref:`\\PolSturmIsolateZeros{\} ` must have been executed + beforehand. + +.. _PolSturmNbWithMultOfRootsOfLessThanOrEqualTo: + +``\PolSturmNbWithMultOfRootsOf{}\LessThanOrEqualTo{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmNbWithMultOfRootsOf{}\LessThanOrEqualTo{}`` + + Expands to the number counted with multiplicities of the roots (of + the polynomial used to create the Sturm chain) which are less than + or equal to the given ``value``. + + .. attention:: + + :ref:`\\PolSturmIsolateZeros*{\} ` (or the double starred + variant) must have been executed beforehand. + +.. _PolSturmNbWithMultOfRootsOfLessThanOrEqualToExpr: + +``\PolSturmNbWithMultOfRootsOf{}\LessThanOrEqualToExpr{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmNbWithMultOfRootsOf{}\LessThanOrEqualToExpr{}`` + + Expands to the total number of roots (counted with multiplicities) + which are less than or equal to the given ``expression``. + + .. attention:: + + :ref:`\\PolSturmIsolateZeros*{\} ` (or the double starred + variant) must have been executed beforehand. + +.. _PolSturmNbOfRationalRoots: + +``\PolSturmNbOfRationalRoots{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmNbOfRationalRoots{}`` + + Expands to the number of rational roots (without multiplicities). + + .. attention:: + + :ref:`\\PolSturmIsolateZeros**{\} ` must have been executed + beforehand. + +.. _PolSturmNbOfRationalRootsWithMultiplicities: + +``\PolSturmNbOfRationalRootsWithMultiplicities{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmNbOfRationalRootsWithMultiplicities{}`` + + Expands to the number of rational roots (counted with multiplicities). + + .. attention:: + + :ref:`\\PolSturmIsolateZeros**{\} ` must have been executed + beforehand. + +.. _PolSturmRationalRoot: + +``\PolSturmRationalRoot{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmRationalRoot{}{}`` + + Expands to the k-th rational root. They are enumerated from left to + right starting at index value ``1``. + + .. attention:: + + :ref:`\\PolSturmIsolateZeros**{\} ` must have been executed + beforehand. + +.. _PolSturmRationalRootIndex: + +``\PolSturmRationalRootIndex{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmRationalRootIndex{}{}`` + + Expands to the index of the ``k``\ th rational root as part of the + ordered real roots (counted without multiplicities). So + :ref:`\\PolSturmRationalRoot{\}{\} ` is equivalent to + this nested call:: + + \PolSturmIsolatedZeroLeft{}{\PolSturmRationalRootIndex{}{}} + + .. attention:: + + :ref:`\\PolSturmIsolateZeros**{\} ` must have been executed + beforehand. + +.. _PolSturmRationalRootMultiplicity: + +``\PolSturmRationalRootMultiplicity{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolSturmRationalRootMultiplicity{}{}`` + + Expands to the multiplicity of the ``k``\ th rational root. + + .. attention:: + + :ref:`\\PolSturmIsolateZeros**{\} ` must have been executed + beforehand. + +.. _PolIntervalWidth: + +``\PolIntervalWidth{}{}`` +^^^^^^^^^^^^^^^^^^^^^^^^^ + +Syntax: ``\PolIntervalWidth{}{}`` + + The ``10^E`` width of the current ``index``\ -th root localization + interval. Output is in xintfrac_ raw ``1/1[E]`` format (if not zero). + + .. renommer cela en \PolSturmIntervalWidth ? + +Expandable macros for use within execution of ``\PolPrintIntervals`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + +These macros are for usage within custom user redefinitions of +`\\PolPrintIntervalsKnownRoot`_, `\\PolPrintIntervalsUnknownRoot`_, or +in redefinitions of `\PolPrintIntervalsPrintExactZero`_ (used in the +default for the former) and of `\\PolPrintIntervalsPrintLeftEndPoint`_, +`\\PolPrintIntervalsPrintRightEndPoint`_ (used in the default for the +latter). + +.. vieux commentaire + + Some macros formerly mentioned here got removed at 0.7: + ``\PolPrintIntervalsTheEndPoint``, + ``\PolIfEndPointIsPositive{T}{F}``, + ``\PolIfEndPointIsNegative{T}{F}``, + ``\PolIfEndPointIsZero{T}{F}``. + +.. _PolPrintIntervalsTheVar: + +``\PolPrintIntervalsTheVar`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + Expands to the name (default ``Z``) used for representing the roots, + which was passed as optional argument ``varname`` to + :ref:`\\PolPrintIntervals[varname]{\} `. + +.. _PolPrintIntervalsTheIndex: + +``\PolPrintIntervalsTheIndex`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + Expands to the index of the considered interval (indexing starting + at 1 for the leftmost interval). + +.. _PolPrintIntervalsTheSturmName: + +``\PolPrintIntervalsTheSturmName`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + Expands to the argument which was passed as ```` to + :ref:`\\PolPrintIntervals[varname]{\} `. + +.. _PolPrintIntervalsTheLeftEndPoint: + +``\PolPrintIntervalsTheLeftEndPoint`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + The left end point of the interval, as would be produced by + `\\PolSturmIsolatedZeroLeft `_ if it was + used with arguments the Sturm chain name and interval index returned + by `\\PolPrintIntervalsTheSturmName`_ and + `\\PolPrintIntervalsTheIndex`_. + +.. _PolPrintIntervalsTheRightEndPoint: + +``\PolPrintIntervalsTheRightEndPoint`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + The right end point of the interval, as would be produced by + `\\\PolSturmIsolatedZeroRight `_ for + this Sturm chain name and index. + +.. _PolPrintIntervalsTheMultiplicity: + +``\PolPrintIntervalsTheMultiplicity`` +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + + The multiplicity of the unique root within the interval of index + `\\PolPrintIntervalsTheIndex`_. Makes sense only if the starred (or + double-starred) variant of `\\PolSturmIsolateZeros + `_ was used earlier. + + +TeX Booleans (with names enacting their defaults) +------------------------------------------------- + +.. _xintverbosefalse: + +``\xintverbosefalse`` +~~~~~~~~~~~~~~~~~~~~~ + + This is actually an xintexpr_ configuration. Setting it to + ``true`` triggers the writing of information to the log when new + polynomial or scalar variables are defined. + + .. caution:: + + The macro and variable meanings as written to the log are to be + considered unstable and undocumented internal structures. + +.. _polnewpolverbosefalse: + +``\polnewpolverbosefalse`` +~~~~~~~~~~~~~~~~~~~~~~~~~~ + + When ``\poldef`` is used, both a variable and a function are + defined. The default ``\polnewpolverbosefalse`` setting suppresses + the print-out to the log and terminal of the function macro meaning, + as it only duplicates the information contained in the variable + which is already printed out to the log and terminal. + + However :ref:`\\PolGenFloatVariant{\} ` + does still print out the information relative to the polynomial + function it defines for use in ``\xintfloateval{}`` as there is no + float polynomial variable, only the + + function, and it is the only way to see its rounded coefficients + (``\xintverbosefalse`` suppresses also that info). + + If set to ``true``, it overrides in both cases + ``\xintverbosefalse``. The setting only affects polynomial + declarations. Scalar variables such as those holding information on + roots obey only the ``\xintverbose...`` setting. + + (new with ``0.8``) + +.. _poltypesetallfalse: + +``\poltypesetallfalse`` +~~~~~~~~~~~~~~~~~~~~~~~ + + If ``true``, `\\PolTypeset `_ will also typeset the vanishing + coefficients. + + +.. _poltoexprallfalse: + +``\poltoexprallfalse`` +~~~~~~~~~~~~~~~~~~~~~~ + + If ``true``, :ref:`\\PolToExpr{\} ` and + :ref:`\\PolToFloatExpr{\} ` will also + include the vanishing coefficients in their outputs. + + +Utilities +--------- + +.. _PolDecToString: + +``\PolDecToString{}`` +~~~~~~~~~~~~~~~~~~~~~ + +Syntax: ``\PolDecToString{decimal number}`` + + This is a utility macro to print decimal numbers. It is an alias + for ``\xintDecToString``. + +.. vieux commentaire + + It has been + backported to xintfrac_ (release ``1.3`` of ``2018/03/01``) under + the name ``\xintDecToString``, and the ``polexpr`` macro is simply + now an alias to it. + +.. + + For example + ``\PolDecToString{123.456e-8}`` will expand to ``0.00000123456`` + and ``\PolDecToString{123.450e-8}`` to ``0.00000123450`` which + illustrates that trailing zeros are not trimmed. + + To trim trailing zeroes, one can use + ``\PolDecToString{\xintREZ{#1}}``. + + Attention that a.t.t.o.w. if the argument is for example ``1/5``, the + macro does not identify that this is in fact a number with a finite + decimal expansion and it outputs ``1/5``. See current xintfrac_ + documentation. + +.. vieux commentaire + + The precise behaviour of this macro may evolve in future releases of + xintexpr_. + +.. + + +.. _polexprsetup: + +``\polexprsetup{key=val,...}`` +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + Serves to customize the package. Currently only two keys are + recognized: + + - ``norr``: the postfix that :ref:`\\PolSturmIsolateZeros**{\} ` + should append to ```` to declare the primitive polynomial + obtained from original one after removal of all rational roots. + The default value is ``_norr`` (standing for “no rational rootsâ€). + + - ``sqfnorr``: the postfix that :ref:`\\PolSturmIsolateZeros**{\} ` + should append to ```` to declare the primitive polynomial + obtained from original one after removal of all rational roots and + suppression of all multiplicities. + The default value is ``_sqf_norr`` (standing for “square-free with + no rational rootsâ€). + + The package executes ``\polexprsetup{norr=_norr, + sqfnorr=_sqf_norr}`` as default. + + +Technicalities +-------------- + + +- The ``@`` is allowed in the name of a polynomial (independently of + whether it is of catcode letter or other.) This has always been the + case, but was not documented by polexpr prior to ``0.8``, as the + author has never found the time to provide some official guidelines on + how to name temporary variables and the ``@`` is used already as such + internally; time has still not yet been found to review the situation + but it seems reasonable to recommend at any rate to restrict usage of + ``@`` to scratch variables of defined macros and to avoid using it to + name document variable. + +- Catcodes are set temporarily by `\\poldef `_ macro to safe + values prior to grab the polynomial expression up to the terminator + ``;``, and also by `\\PolDef `_ prior to grab the + brace-enclosed polynomial expression. This gives a layer of + protection in case some package (for example the ``babel-french`` module) + has made some characters active. It will fail though if the whole + thing is located inside some definition of a macro done at a time the + characters are active. + +- .. + + .. attention:: + + Contrarily to ``\xintdefvar`` and ``\xintdeffunc`` from xintexpr_, + ``\poldef`` uses a naive delimited macro to fetch up to the + expression terminator ``";"``, hence it will be fooled if some + ``;`` is used inside the expression (which is possible as it + appears in some xintexpr_ constructs). Work-around is to use curly + braces around the inner semi-colons, or simpler to use + ``\PolDef``. + +- As a consequence of xintfrac_ addition and subtraction always using + least common multiples for the denominators, user-chosen common + denominators (currently) survive additions and multiplications. For + example, this:: + + \poldef P(x):= 1/2 + 2/2*x + 3/2*x^3 + 4/2*x^4; + \poldef Q(x):= 1/3 + (2/3)x + (3/3)x^3 + (4/3)x^4; + \poldef PQ(x):= P*Q; + + gives internally the polynomial:: + + 1/6+4/6*x^1+4/6*x^2+6/6*x^3+20/6*x^4+16/6*x^5+9/6*x^6+24/6*x^7+16/6*x^8 + + where all coefficients have the same denominator 6. Notice though that + ``\PolToExpr{PQ}`` outputs the ``6/6*x^3`` as ``x^3`` because (by + default) it recognizes and filters out coefficients equal to one or + minus one. One can use for example + ``\PolToCSV{PQ}`` to see the internally stored coefficients. + + .. vieux commentaire + + prior to ``0.4.1``, ``polexpr`` used to temporarily patch + during the parsing of polynomials the xintfrac_ macros. This + patch was backported to xintexpr_ at release ``1.3``. + +- :ref:`\\PolDiff{\}{\} ` always applies ``\xintPIrr`` to the + resulting coefficients, which means that fractions are reduced to + lowest terms but ignoring an already separated *power of ten* part ``[N]`` + present in the internal representation. This is tentative and may change. + + Same remark for :ref:`\\PolAntiDiff{\}{\} `. + +- Currently, the package stores all coefficients from index ``0`` to + index equal to the polynomial degree inside a single macro, as a list. + This data structure is obviously very inefficient for polynomials of + high degree and few coefficients (as an example with ``\poldef + f(x):=x^1000 + x^500;`` the subsequent definition ``\poldef g(x):= + f(x)^2;`` will do of the order of 1,000,000 multiplications and + additions involvings only zeroes... which does take time). This + may change in the future. + +- As is to be expected internal structures of the package are barely + documented and unstable. Don't use them. + + +.. _xinttools: +.. _xintfrac: +.. _xint: https://www.ctan.org/pkg/xint + +.. _xintexpr: https://www.ctan.org/pkg/xintexpr + +.. _xintsession: https://www.ctan.org/pkg/xintsession + +.. _Wilkinson polynomial: https://en.wikipedia.org/wiki/Wilkinson%27s_polynomial + +.. _Sturm algorithm: +.. _Sturm Theorem: https://en.wikipedia.org/wiki/Sturm%27s_theorem + +.. _DocUtils: http://docutils.sourceforge.net/docs/index.html + + +.. Local variables: +.. sentence-end-double-space: t; +.. End: diff --git a/macros/generic/polexpr/polexpr.css b/macros/generic/polexpr/polexpr.css new file mode 100644 index 0000000000..b95962ac84 --- /dev/null +++ b/macros/generic/polexpr/polexpr.css @@ -0,0 +1,826 @@ +/* + * polexpr.css + * ~~~~~~~~~~~ + * + * stylesheet for polexpr html documentation + * Copyright (c) 2022 by Jean-François Burnol + * + * It has been obtained on May 13, 2022 by Jean-François Burnol via + * copying selected extracts from the css files as found in the output + * of a sphinx-build with "bizstyle" theme, enough for the styling the + * html elements used in polexpr html documentation, and with a few + * changes here and there. + * + * It also incorporate (essentially) the output of `pygmentize -S + * friendly -f html` which specifies the behaviour of the highlighting, + * and is produced by default by Sphinx on all sphinx-build runs. + * + */ + + +/* -- start of extracts from basic.css -------------------------------------- */ + +/* -- main layout ----------------------------------------------------------- */ + +div.section::after { + display: block; 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/* Chrome/Safari */ + -moz-user-select: none; /* Firefox */ + -ms-user-select: none; /* IE10+ */ +} + +div.code-block-caption span.caption-number { + padding: 0.1em 0.3em; + font-style: italic; +} + +div.code-block-caption span.caption-text { +} + +div.literal-block-wrapper { + margin: 1em 0; +} + +code.xref, a code { + background-color: transparent; + font-weight: bold; +} + +h1 code, h2 code, h3 code, h4 code, h5 code, h6 code { + background-color: transparent; +} + +/* -- printout stylesheet --------------------------------------------------- */ + +@media print { + div.document, + div.documentwrapper, + div.bodywrapper { + margin: 0 !important; + width: 100%; + } + + div.sphinxsidebar, + div.related, + div.footer, + #top-link { + display: none; + } +} + +/* -- end of extracts from basic.css ---------------------------------------- */ + +/* -- start of extracts from bizstyle.css ----------------------------------- */ + +/* -- page layout ----------------------------------------------------------- */ + +body { + font-family: 'Lucida Grande', 'Lucida Sans Unicode', 'Geneva', + 'Verdana', sans-serif; + /* font-size: 14px; not for polexpr.css */ + letter-spacing: -0.01em; + line-height: 150%; + text-align: center; + background-color: white; + background-image: url(background_b01.png); + color: black; + padding: 0; + border-right: 1px solid #336699; + border-left: 1px solid #336699; + + margin: 0px 40px 0px 40px; +} + +div.document { + background-color: white; + text-align: left; + background-repeat: repeat-x; + + -moz-box-shadow: 2px 2px 5px #000; + -webkit-box-shadow: 2px 2px 5px #000; +} + +div.documentwrapper { + float: left; + width: 100%; +} + +div.bodywrapper { + margin: 0 0 0 240px; + border-left: 1px solid #ccc; +} + +div.body { + margin: 0; + padding: 0.5em 20px 20px 20px; +} +div.bodywrapper { + margin: 0 calc(35% + 30px) 0 0; /* polexpr */ + border-right: 1px solid #ccc; +} + +div.related { + font-size: 1em; + + -moz-box-shadow: 2px 2px 5px #000; + -webkit-box-shadow: 2px 2px 5px #000; +} + +div.related ul { + background-color: #336699; + height: 100%; + overflow: hidden; + border-top: 1px solid #ddd; + border-bottom: 1px solid #ddd; +} + +div.related ul li { + color: white; + margin: 0; + padding: 0; + height: 2em; + float: left; +} + +div.related ul li.right { + float: right; + margin-right: 5px; +} + +div.related ul li a { + margin: 0; + padding: 0 5px 0 5px; + line-height: 1.75em; + color: #fff; +} + +div.related ul li a:hover { + color: #fff; + text-decoration: underline; +} + +div.sphinxsidebarwrapper { + padding: 0; +} + +div.sphinxsidebar { + padding: 0.5em 12px 12px 12px; + width: 35%; /* polexpr */ + float: right; + font-size: 1em; + text-align: left; +} + +div.sphinxsidebar h3, div.sphinxsidebar h4 { + margin: 1em 0 0.5em 0; + font-size: 1em; + padding: 0.1em 0 0.1em 0.5em; + color: white; + border: 1px solid #336699; + background-color: #336699; +} + +div.sphinxsidebar h3 a { + color: white; +} + +div.sphinxsidebar ul { + padding-left: 1.5em; + margin-top: 7px; + padding: 0; + line-height: 130%; +} + +div.sphinxsidebar ul ul { + margin-left: 20px; +} + +div.sphinxsidebar input { + border: 1px solid #336699; +} + +div.footer { + background-color: white; + color: #336699; + padding: 3px 8px 3px 0; + clear: both; + font-size: 0.8em; + text-align: right; + border-bottom: 1px solid #336699; + + -moz-box-shadow: 2px 2px 5px #000; + -webkit-box-shadow: 2px 2px 5px #000; +} + +div.footer a { + color: #336699; + text-decoration: underline; +} + +/* -- body styles ----------------------------------------------------------- */ + +p { + margin: 0.8em 0 0.5em 0; +} + +a { + color: #336699; + text-decoration: none; +} + +a:hover { + color: #336699; + text-decoration: underline; +} + +div.body a { + text-decoration: underline; +} + +h1, h2, h3 { + color: #336699; +} + +h1 { + margin: 0; + padding: 0.7em 0 0.3em 0; + font-size: 1.5em; +} + +h2 { + margin: 1.3em 0 0.2em 0; + font-size: 1.35em; + padding-bottom: .5em; + border-bottom: 1px solid #336699; +} + +h3 { + margin: 1em 0 -0.3em 0; + font-size: 1.2em; + padding-bottom: .3em; + border-bottom: 1px solid #CCCCCC; 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-

polexpr reference documentation

-

0.8.6 (2022/01/09)

+ -
-

Introduction

-

This is a TeX and LaTeX macro package.

+ + + + + + Introduction to polexpr — polexpr 0.8.7 documentation + + + + + +
+
+
+
+ +
+

Introduction to polexpr

+

polexpr is a TeX and LaTeX macro package.

To use it with Plain or formats other than LaTeX:

-
\input polexpr.sty
-

To use it with LaTeX:

-
\usepackage{polexpr}
-

The capabilities of the package are implemented via:

-
    -
  • a parser \poldef allowing to define polynomials via the usual -algebraic notations,

  • -
  • many functions available for use directly in the powerful \poldef or -\xintexpr/\xinteval expandable functional syntax,

  • -
  • and macros acting on named polynomials which may serve either as -alternative to the functional interface or to provide further -capabilities, such as root localization to arbitrary precision.

  • -
-
-
-

Examples of root localization

-

This legacy section has been moved to the -polexpr-examples.pdf document. -To access it (if previous link does not work):

-
texdoc polexpr-examples
+
\input polexpr.sty
+
-
-

Usage via xintsession

+

To use it with LaTeX:

+
\usepackage{polexpr}
+
+
+

polexpr loads xintexpr and extends its syntax with a polynomial type.

+

Polynomials are defined via the \poldef parser and +can then be manipulated via TeX macros for various operations such +as obtaining G.C.D.s, computing derivatives, or indefinite +integrals… many of these functionalities are available directly +via functions in the syntax recognized by the \poldef parser.

+

Apart from the final step of internally creating some TeX macros +associated with the polynomial name, this is all done completely +expandably, and a polynomial expression can be fetched directly to +\xinteval for a completely expandable operation from start to +finish.

+

For polynomials fully declared via \poldef, root localization +implementing the Sturm algorithm is available via macros. +Arbitrarily long decimal expansion of all real roots can be +obtained, and all rational roots can be found exactly.

+

The legacy documentation section which showed examples of root +localization has been moved to the polexpr-examples.pdf document, where both the TeX code and its +output are displayed.

+

To access this document (if the previous link for some reason does not +work):

+
texdoc polexpr-examples
+
+
+
+

Usage via xintsession

The simplest manner to get a feeling for the package abilities regarding -root localization is to use it on the command line via the xintsession -interface. Here is an example:

-
$ rlwrap etex xintsession
-[...xintsession welcome message...]
-Starting in exact mode (floating point evaluations use 16 digits)
->>> &pol
-pol mode (i.e. function definitions use \poldef)
->>> f(x) := x^7 - x^6 - 2x + 1;
-f = x^7-x^6-2*x+1
-    --> &GenFloat(f) lets f become usable as function in fp mode
-    --> &ROOTS(f) (resp. &ROOTS(f,N)) finds all rational roots exactly and
-        all irrational roots with at least 10 (resp. N) fractional digits
->>> &ROOTS(f)
-Solving for real roots of f and assigning them (please wait...)
-(mult. 1) Rootf_1 = -1.0719678841...
-(mult. 1) Rootf_2 = 0.4962386948...
-(mult. 1) Rootf_3 = 1.3151140860...
-Square-free irrational part: x^7-x^6-2*x+1
-    --> &REFINEROOTS(f,N) to extend real irr. roots to N fractional digits
->>> &REFINEROOTS(f,40)
-Refining real roots of f to 40 digits (please wait...)
-(mult. 1) Rootf_1 = -1.0719678841080266034109100331975342338141...
-(mult. 1) Rootf_2 = 0.4962386948771497344730618510143671567979...
-(mult. 1) Rootf_3 = 1.3151140860165192656960005018679846354234...
+in particularl root localization is to use it on the command line +via the xintsession interface. Here is an example:

+
$ rlwrap etex xintsession
+[...xintsession welcome message...]
+Starting in exact mode (floating point evaluations use 16 digits)
+>>> &pol
+pol mode (i.e. function definitions use \poldef)
+>>> f(x) := x^7 - x^6 - 2x + 1;
+f = x^7-x^6-2*x+1
+    --> &GenFloat(f) lets f become usable as function in fp mode
+    --> &ROOTS(f) (resp. &ROOTS(f,N)) finds all rational roots exactly and
+        all irrational roots with at least 10 (resp. N) fractional digits
+>>> &ROOTS(f)
+Solving for real roots of f and assigning them (please wait...)
+(mult. 1) Rootf_1 = -1.0719678841...
+(mult. 1) Rootf_2 = 0.4962386948...
+(mult. 1) Rootf_3 = 1.3151140860...
+Square-free irrational part: x^7-x^6-2*x+1
+    --> &REFINEROOTS(f,N) to extend real irr. roots to N fractional digits
+>>> &REFINEROOTS(f,40)
+Refining real roots of f to 40 digits (please wait...)
+(mult. 1) Rootf_1 = -1.0719678841080266034109100331975342338141...
+(mult. 1) Rootf_2 = 0.4962386948771497344730618510143671567979...
+(mult. 1) Rootf_3 = 1.3151140860165192656960005018679846354234...
+
+

The xintsession interface allows to define polynomial variables via its -&pol mode. It also exposes all polynomial functions added to the -xintexpr syntax by polexpr. Further, as seen in the -example above it also covers some of the polexpr capabilities +&pol mode. It also exposes all polynomial functions added to the +xintexpr syntax by polexpr. Further, as seen in the +example above it also covers some of the polexpr capabilities currently implemented via user macros. This is to be considered a work -in progress, the above &ROOTS and &REFINEROOTS may be renamed +in progress, the above &ROOTS and &REFINEROOTS may be renamed into something else, and may have been so already since this documentation was written.

-

Any input on the command line at the xintsession >>> prompt which +

Any input on the command line at the xintsession >>> prompt which starts with a backslash is executed as TeX macros, so all macros of -polexpr are in fact already available, including those typesetting +polexpr are in fact already available, including those typesetting material in background of the interactive session on command line. The -&ROOTS and &REFINEROOTS direct their outputs to the +&ROOTS and &REFINEROOTS direct their outputs to the terminal rather than to the TeX page as would the typesetting macros -defined by polexpr itself.

-
-

Contents

- -
-
-
-

Quick syntax overview

-

The syntax to define a new polynomial is:

-
\poldef polname(x):= expression in variable x;
-

The package is focused on exact computations, so this expression will be -parsed by the services of xintexpr and accept arbitrarily big integers -or fractions.

-

If you are interested into numerical evaluations, for example for -plotting, it is advisable to use the \xintfloatexpr/\xintfloateval -context, as exact evaluations will quickly lead to manipulating numbers -with dozens of digits (when the number of digits exceeds five hundreds, -computation with xintexpr will become noticeably too slow, if many -evaluations need to be done). For the polynomial to be usable as a function in -floating point context, an extra step beyond \poldef is required: -see \PolGenFloatVariant.

-

As a rule, the functionalities such as getting the degree, or getting -one coefficient, or taking derivatives, etc..., i.e. anything which -handles the polynomial as an entity and not only as a numerical -function, are only available in the \poldef/\xintexpr/\xinteval -context. The \PolGenFloatVariant must be used each time the -polynomial gets modified or a new polynomial created out of it, if -continuing computations in \xintfloatexpr are to follow. But (see -xintexpr documentation) one can always use a sub-expression such as -\xintexpr deg(P)\relax as sub-component inside a -\xintfloatexpr/\xintfloateval.

-

Conversely if perhaps the coefficients of your polynomial have become -too gigantic and you would like to replace them with some approximation -to keep on working in \xinteval, not necessarily \xintfloateval, -see \PolMapCoeffs which can be used for example with \xintFloat -macro to make the float-rounding applied to the exact coefficients.

-
    -
  • In place of x an arbitrary dummy variable is authorized, -i.e. per default one a, .., z, A, .., Z (more letters can be declared -under Unicode engines).

  • -
  • polname consists of letters, digits, and the _ and ' -characters. It must start with a letter: do not use the -underscore _ as first character of a polynomial name (even -if of catcode letter). No warning is emitted but dire consequences -will result.

    -
    -

    Hint

    -

    The @ is usable too, independently of whether it is of catcode -letter or other. This has always been the case, but was not -documented by polexpr prior to 0.8, as the author has never -found the time to provide some official guidelines on how to name -temporary variables and the @ is used already as such internally -to package; time has still not yet been found for 0.8 to review -the situation but it seems reasonable to recommend at any rate to -restrict usage of @ to scratch variables of defined macros and -to avoid using it to name document variable.

    -
    -
  • -
  • The colon before the equality sign is optional and its (reasonable) -catcode does not matter.

  • -
  • The semi-colon at the end of the expression is mandatory. Some -contexts (such as (pdf)LaTeX with babel+frenchb) modify its catcode. -If at top level, \poldef resets temporarily the semi-colon catcode -before fetching the expression, so is immune to this. There is also -naturally no problem either if \poldef is used in the replacement -text of some other macro which is defined at a time the ; has its -standard catcode, as is the case in LaTeX in the document preamble, -even with babel+french loaded.

    -

    The semi-colon intervenes in certain xintexpr syntax elements, within -parentheses. This (except if the inner semi-colons are hidden within -braces: {;}) will break \poldef which, contrarily to -xintexpr's \xintdefvar, does not balance parentheses when -fetching the semi-colon delimited polynomial expression.

    -
  • -
-

Problems with the semi-colon are avoided via an alternative syntax:

-
\PolDef[optional letter]{<polname>}{<expr. using letter as indeterminate>}
-

The \PolDef optional first argument defaults to x and must be -used as the indeterminate in the expression.

-

\poldef f(x):= 1 - x + quo(x^5,1 - x + x^2);

-
-
\PolDef{f}{1 - x + quo(x^5,1 - x + x^2)}
-

Both parse the polynomial -expression, and convert it internally (currently) to the list -of its coefficients from the constant term to the highest degree -term.

-

The polynomial can then be used in further polynomial definitions or -serve as argument to package macros, or as a variable in various -functions which will be described later.

-
-
-
-

Important

-

Euclidean quotient is mapped to the function quo() (as shown -in the example above), but -for backwards compatibility one can currently still use the / -infix operator:

-
\poldef f(x):= 1 - x + x^5/(1 - x + x^2);
-

Due to precedence rules the first operand is x^5, not of course -1-x+x^5.

-

Note that (1-x^2)/(1-x) produces 1+x -but (1/(1-x))*(1-x^2) produces zero! One also has to be aware -of some precedence rules, for example:

-
\poldef k(x):= (x-1)(x-2)(x-3)(x-4)/(x^2-5x+4);
-

does compute a degree 2 polynomial because the tacit multiplication -ties more than the division operator.

-

In short, it is safer to use the quo() function which avoids -surprises.

-
-
-

Attention!

-

Tacit multiplication means that -1/2 x^2 skips the space and is treated like 1/(2*x^2). -But then it gives zero!

-

Thus one must use (1/2)x^2 or 1/2*x^2 or -(1/2)*x^2 for disambiguation: x - 1/2*x^2 + 1/3*x^3.... It is -simpler to move the denominator to the right: x - x^2/2 + x^3/3 - ....

-

It is worth noting that 1/2(x-1)(x-2) suffers the same issue: -xintexpr's tacit multiplication always "ties more", hence this -gets interpreted as 1/(2*(x-1)*(x-2)) which gives zero by -polynomial division. Thus, use in such cases one of -(1/2)(x-1)(x-2), 1/2*(x-1)(x-2) or (x-1)(x-2)/2.

-
-
-

Warning

-

The package does not currently know rational functions, but in order -to leave open this as a future possibility, the usage of / to stand -for the -euclidean quotient is deprecated.

-

Please start using rather the quo() function. It is possible -that in a future major release A/B with B a non-scalar will -raise an error. Or, who knows, rational functions will be -implemented sometime during the next decades, and then A/B will -naturally be the rational function.

-
-
-

Important

-

\poldef P(x):=...; defines P both as a function, -to be used as:

-
P(..numeric or even polynomial expression..)
-

and as a variable which can used inside polynomial expressions or -as argument to some polynomial specific functions such as deg() -or polgcd() 1.

-
-
1
-

Functional syntax accepts expressions as arguments; but the -TeX macros described in the documentation, even the -expandable ones, work only (there are a few exceptions to the -general rule) with arguments being names of declared -polynomials.

-
-
-

One needs to have a clear understanding of the difference between -P used a function and P used as a variable: if P and -Q are both declared polynomials then:

-
(P+Q)(3)%  <--- attention!
-

is currently evaluated as (P+Q)*3, because P+Q is not known -as a function, but only as a variable of polynomial type. -Even worse:

-
(P)(3)%  <--- attention!
-

will compute P*3, because one can not in current xintexpr syntax -enclose a function name in parentheses: consequently it is the variable -which is used here. There is a meager possibility that in future -some internal changes to xintexpr would let (P)(3) actually -compute P(3) and (P+Q)(3) compute P(3) + Q(3), but note -that (P)(P) will then do P(P) and not P*P, -the latter, current interpretation, looking more -intuitive. Anyway, do not rely too extensively on tacit * and use -explicit (P+Q)*(1+2) if this is what is intended.

-

As an alternative to explicit P(3)+Q(3) there is evalp(P+Q,3).

-
-
-
\PolLet{g}={f}
-

saves a copy of f under name g. Also usable without =.

-

Has exactly the same effect as \poldef g(x):=f; or \poldef g(w):=f(w);.

-
-
\poldef f(z):= f^2;
-

redefines f in terms of itself. Prior to 0.8 one needed -the right hand side to be f(z)^2. Also, now sqr(f) is -possible (also sqr(f(x)) but not sqr(f)(x)).

-

It may look strange that an indeterminate variable is used on -left-hand-side even though it may be absent of right-hand-side, as -it seems to define f always as a polynomial function.

-

This is a legacy of pre-0.8 context.

-
-
-
-

Important

-

Note that f^2(z) or sqr(f)(z) will give a logical but -perhaps unexpected result: first f^2 is computed, then the -opening parenthesis is seen which inserts a tacit multiplication -*, so in the end it is as if the input had been f^2 * z. -Although f is both a variable and a function, f^2 is -computed as a polynomial variable and ceases being a function.

-
-
-
\poldef f(T):= f(f);
-

again modifies f. Here it is used both as variable and as -a function. Prior to 0.8 it needed to be f(f(T)).

-
-
\poldef k(z):= f-g(g^2)^2;
-

if everybody followed, this should now define the zero polynomial... -And f-sqr(g(sqr(g))) computes the same thing.

-

We can check this in a typeset document like this:

-
\poldef f(x):= 1 - x + quo(x^5,1 - x + x^2);%
-\PolLet{g}={f}%
-\poldef f(z):= f^2;%
-\poldef f(T):= f(f);%
-\poldef k(w):= f-sqr(g(sqr(g)));%
-$$f(x) = \vcenter{\hsize10cm \PolTypeset{f}} $$
-$$g(z) = \PolTypeset{g} $$
-$$k(z) = \PolTypeset{k} $$
-\immediate\write128{f(x)=\PolToExpr{f}}% ah, here we see it also
-
-
\poldef f'(x):= diff1(f);
-

(new at 0.8)

-
-
\PolDiff{f}{f'}
-

Both set f' (or any other chosen name) to the derivative -of f.

-
-
-
-

Important

-

This is not done automatically. If some new definition needs to use -the derivative of some available polynomial, that derivative -polynomial must have been previously defined: something such as -f'(3)^2 will not work without a prior definition of f'.

-

But one can now use diff1(f) for on-the-spot construction with no -permanent declaration, so here evalp(diff1(f),3)^2. And -diff1(f)^2 is same as f'^2, assuming here f' was declared -to be the derived polynomial.

-

Notice that the name diff1() is experimental and may change. Use -\PolDiff{f}{f'} as the stable interface.

-
-
-
\PolTypeset{P}
-

Typesets (switching to math mode if in text mode):

-
\poldef f(x):=(3+x)^5;%
-\PolDiff{f}{f'}\PolDiff{f'}{f''}\PolDiff{f''}{f'''}%
-$$f(z)   = \PolTypeset[z]{f}    $$
-$$f'(z)  = \PolTypeset[z]{f'}   $$
-$$f''(z) = \PolTypeset[z]{f''}  $$
-$$f'''(z)= \PolTypeset[z]{f'''} $$
-

See the documentation for the configurability -via macros.

-

Since 0.8 \PolTypeset accepts directly an -expression, it does not have to be a pre-declared polynomial name:

-
\PolTypeset{mul(x-i,i=1..5)}
-
-
\PolToExpr{P}
-

Expandably (contrarily to \PolTypeset) -produces c_n*x^n + ... + c_0 starting from the leading -coefficient. The + signs are omitted if followed by negative -coefficients.

-

This is useful for console or file output. This syntax is Maple and -PSTricks \psplot[algebraic] compatible; and also it is -compatible with \poldef input syntax, of course. See -\PolToExprCaret for configuration of the ^, for example to -use rather ** for Python syntax compliance.

-

Changed at 0.8: the ^ in output is by default of catcode 12 -so in a draft document one can use \PolToExpr{P} inside the -typesetting flow (without requiring math mode, where the * would -be funny and ^12 would only put the 1 as exponent anyhow; -but arguably in text mode the + and - are not satisfactory -for math, except sometimes in monospace typeface, and anyhow TeX is -unable to break the expression across lines, barring special help).

-

See \PolToExpr{<pol. expr.>} and related macros for customization.

-

Extended at 0.8 to accept as argument not only the name of a -polynomial variable but more generally any polynomial expression.

-
-
-
-
-

The polexpr 0.8 extensions to the \xintexpr syntax

-

All the syntax elements described in this section can be used in the -\xintexpr/\xinteval context (where polynomials can be obtained from -the pol([]) constructor, once polexpr is loaded): their usage is -not limited to only \poldef context.

-
-

Note

-

If a variable myPol defined via \xintdefvar turns out -to be a polynomial, the difference with those declared via \poldef -will be:

-
    -
  1. myPol is not usable as function, but only as a variable. -Attention that f(x) if f is only a variable (even a -polynomial one) will actually compute f * x.

  2. -
  3. myPol is not known to the polexpr package, hence for example the -macros to achieve localization of its roots are unavailable.

    -

    In a parallel universe I perhaps have implemented this expandably -which means it could then be accessible with syntax such as -rightmostroot(pol([42,1,34,2,-8,1])) but...

    -
  4. -
-
-
-

Warning about unstability of the new syntax

-
-

Warning

-

Consider the entirety of this section as UNSTABLE and -EXPERIMENTAL (except perhaps regarding +, - and *).

-

And this applies even to items not explicitly flagged with one of -unstable, Unstable, or UNSTABLE which only reflect that -documentation was written over a period of time exceeding one minute, -enough for the author mood changes to kick in.

-

It is hard to find good names at the start of a life-long extension -program of functionalities, and perhaps in future it will be -preferred to rename everything or give to some functions other -meanings. Such quasi-complete renamings happened already a few times -during the week devoted to development.

-
-
-
-

Infix operators +, -, *, /, **, ^

-
-

As has been explained in the Quick syntax overview these infix -operators have been made polynomial aware, not only in the -\poldef context, but generally in any \xintexpr/\xinteval -context, inclusive of \xintdeffunc.

-

Conversely functions declared via \xintdeffunc and making use of -these operators will automatically be able to accept polynomials -declared from \poldef as variables.

-

Usage of / for euclidean division of polynomials is deprecated. -Only in case of a scalar denominator is it to be considered stable. -Please use rather quo().

-
-
-
-

Experimental infix operators //, /:

-
-

Here is the tentative behaviour of A//B according to types:

-
    -
  • A non scalar and B non scalar: euclidean quotient,

  • -
  • A scalar and B scalar: floored division,

  • -
  • A scalar and B non scalar: produces zero,

  • -
  • A non scalar and B scalar: coefficient per -coefficient floored division.

  • -
-

This is an experimental overloading of the // and /: -from \xintexpr.

-

The behaviour in the last case, but not only, is to be considerd -unstable. The alternative would be for A//B with B -scalar to act as quo(A,B). But, we have currently chosen to let -//B for a scalar B act coefficient-wise on the numerator. -Beware that it thus means it can be employed with the idea of doing -euclidean division only by checking that B is non-scalar.

-

The /: operator provides the associated remainder so always -A is reconstructed from (A//B)*B + A/:B.

-

If : is active character use /\string: (it is safer to use -/\string : if it is not known if : has catcode other, letter, -or is active, but note that /: is fine and needs no precaution if -: has catcode letter, it is only an active : which is -problematic, like for all other characters possibly used in an -expression).

-
-

UNSTABLE

-

As explained above, there are (among other things) hesitations -about behaviour with pol2 a scalar.

-
-
-
-
-

Comparison operators <, >, <=, >=, ==, !=

-
-

NOT YET IMPLEMENTED

-

As the internal representation by xintfrac and xintexpr of -fractions does not currently require them to be in reduced terms, -such operations would be a bit costly as they could not benefit from -the \pdfstrcmp engine primitive. In fact xintexpr does not use -it yet anywhere, even for normalized pure integers, although it could -speed up signifcantly certain aspects of core arithmetic.

-

Equality of polynomials can currently be tested by computing the -difference, which is a bit costly. And of course the deg() -function allows comparing degrees. In this context note the -following syntax:

-
(deg(Q)) ?? { zero } { non-zero scalar } { non-scalar }
-

for branching.

-
-
-
-

pol(<nutple expression>)

-
-

This converts a nutple [c0,c1,...,cN] into the polynomial -variable having these coefficients. Attention that the square -brackets are mandatory, except of course if the argument is -actually an expression producing such a "nutple".

-
-

Currently, this process will not normalize the coefficients (such -as reducing to lowest terms), it only trims out the leading zero -coefficients.

-
-

Inside \xintexpr, this is the only (allowed) way to create ex -nihilo a polynomial variable; inside \poldef it is an alternative -input syntax which is more efficient than typing c0 + c1 * x + c2 * x^2 + ....

-
-
-

Important

-

Whenever an expression with polynomials collapses to a constant, it -becomes a scalar. There is currently no distinction during the -parsing of expressions by \poldef -or \xintexpr between constant polynomial variables and scalar -variables.

-

Naturally, \poldef can be used to declare a constant polynomial -P, then P can also be used as function having a value -independent of argument, but as a variable, it is non-distinguishable -from a scalar (of course functions such as deg() tacitly -consider scalars to be constant polynomials).

-

Notice that we tend to use the vocable "variable" to refer to -arbitrary expressions used as function arguments, without implying -that we are actually referring to pre-declared variables in the sense -of \xintdefvar.

-
-
-
-

lpol(<nutple expression>)

-
-

This converts a nutple [cN,...,c1,c0] into the polynomial -variable having these coefficients, with leading coefficients coming -first in the input. Attention that the square brackets are -mandatory, except of course if the argument is actually an -expression producing such a "nutple".

-
-

Currently, this process will not normalize the coefficients (such -as reducing to lowest terms), it only trims out the leading zero -coefficients.

-

NAME UNSTABLE

-
-

It can be used in \poldef as an alternative input syntax, which -is more efficient than using the algebraic notation with monomials.

-

(new with 0.8.1, an empty nutple will cause breakage)

-
-
-
-

\xinteval{<pol. expr.>}

-
-

This is documented here for lack of a better place: it evaluates the -polynomial expression then outputs the "string" pol([c0, c1, ..., cN]) -if the degree N is at least one (and the usual scalar output else).

-

The "pol" word uses letter catcodes, which is actually mandatory for -this output to be usable as input, but it does not make sense to use -this inside \poldef or \xintexpr at it means basically -executing pol(coeffs(..expression..)) which is but a convoluted -way to obtain the same result as (..expression..) (the -parentheses delimiting the polynomial expression).

-

For example, \xinteval{(1+pol([0,1]))^10} expands (in two steps) -to:

-
pol([1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1])
-

You do need loading polexpr for this, else of course pol([]) -remains unknown to \xinteval{} as well as the polynomial algebra ! -This example can also be done as -\xinteval{subs((1+x)^10,x=pol([0,1]))}.

-

I hesitated using as output the polynomial notation as produced by -\PolToExpr{}, but finally opted for this.

-
-
-
-

evalp(<pol. expr.>, <pol. expr>)

-
-

Evaluates the first argument as a polynomial function of the -second. Usually the second argument will be scalar, but this is not -required:

-
\poldef K(x):= evalp(-3x^3-5x+1,-27x^4+5x-2);
-

If the first argument is an already declared polynomial P, use -rather the functional form P() (which can accept a numerical as -well as polynomial argument) as it is more efficient.

-

One can also use subs() syntax 2 (see xintexpr documentation):

-
\poldef K(x):= subs(-3y^3-5y+1, y = -27x^4+5x-2);
-

but the evalp() will use a Horner evaluation scheme which is -usually more efficient.

-
-
2
-

by the way Maple uses the opposite, hence wrong, order -subs(x=..., P) but was written before computer science -reached the xintexpr heights. However it makes validating -Maple results by polexpr sometimes cumbersome, but perhaps -they will update it at some point.

-
-
-
-

name unstable

-

poleval? evalpol? peval? evalp? value? -eval? evalat? eval1at2? evalat2nd?

-

Life is so complicated when one asks questions. Not everybody does, -though, as is amply demonstrated these days.

-

syntax unstable

-

I am hesitating about permuting the order of the arguments.

-
-
-
-
-

deg(<pol. expr.>)

-
-

Computes the degree.

-
-
-

Important

-

As \xintexpr does not yet support infinities, the degree of -the zero polynomial is -1. Beware that this breaks additivity -of degrees, but deg(P)<0 correctly detects the zero polynomial, -and deg(P)<=0 detects scalars.

-
-
-
-

coeffs(<pol. expr.>)

-
-

Produces the nutple [c0,c1,...,cN] of coefficients. The highest -degree coefficient is always non zero (except for the zero -polynomial...).

-
-

name unstable

-

I am considering in particular using polcoeffs() to avoid -having to overload coeffs() in future when matrix type -will be added to xintexpr.

-
-
-
-
-

lcoeffs(<pol. expr.>)

-
-

Produces the nutple [cN,....,c1,c0] of coefficients, starting -with the highest degree coefficient.

-

(new with 0.8.1)

-
-
-
-

coeff(<pol. expr.>, <num. expr.>)

-
-

As expected. Produces zero if the numerical index is negative or -higher than the degree.

-
-

name, syntax and output unstable

-

I am hesitating with coeff(n,pol) syntax and also perhaps using -polcoeff() in order to avoid having to overload coeff() -when matrix type will be added to xintexpr.

-

The current behaviour is at odds with legacy -\PolNthCoeff{<polname>}{<index>} regarding negative indices. -Accessing leading or sub-leading coefficients can be done with -other syntax, see lc(<pol. expr.>), and in some contexts it -is useful to be able to rely on the fact that coefficients with -negative indices do vanish, so I am for time being maintaining this.

-
-
-
-
-

lc(<pol. expr.>)

-
-

The leading coefficient. The same result can be obtained from -coeffs(pol)[-1], which shows also how to generalize to access -sub-leading coefficients. See the xintexpr documentation for -Python-like indexing syntax.

-
-
-
-

monicpart(<pol. expr.>)

-
-

Divides by the leading coefficient, except that monicpart(0)==0.

-
-

unstable

-

Currently the coefficients are reduced to lowest terms (contrarily -to legacy behaviour of \PolMakeMonic), and -additionally the xintfrac \xintREZ macro is applied which -extracts powers of ten from numerator or denominator and stores -them internally separately. This is generally beneficial to -efficiency of multiplication.

-
-
-
-
-

cont(<pol. expr.>)

-
-

The (fractional) greatest common divisor of the polynomial -coefficients. It is always produced as an irreducible (non-negative) -fraction. According to Gauss theorem the content of a product is the -product of the contents.

-
-

name and syntax unstable

-

At 0.8 it was created as icontent() to match the legacy -macro \PolIContent, whose name in 2018 was -chosen in relation to Maple's function icontent(), possibly -because at that time I had not seen that Maple also had a -content() function. Name changed at 0.8.1.

-

It will change syntax if in future multivariate polynomials are -supported, and icontent() will then make a come-back.

-
-
-
-
-

primpart(<pol. expr.>)

-
-

The quotient (except for the zero polynomial) by -cont(<pol. expr.>). This is thus a polynomial with -integer coefficients having 1 as greatest common divisor. The -sign of the leading coefficient is the same as in the original.

-

And primpart(0)==0.

-

The trailing zeros of the integer coefficients are extracted -into a power of ten exponent part, in the internal representation.

-
-
-
-

quorem(<pol. expr.>, <pol. expr.>)

-
-

Produces a nutple [Q,R] with Q the euclidean quotient and -R the remainder.

-
-

name unstable

-

poldiv()?

-
-
-
-
-

quo(<pol. expr.>, <pol. expr.>)

-
-

The euclidean quotient.

-

The deprecated pol1/pol2 syntax computes the same polynomial.

-
-
-
-

rem(<pol. expr.>, <pol. expr.>)

-
-

The euclidean remainder. If pol2 is a (non-zero) scalar, this is -zero.

-

There is no infix operator associated to this, for lack of evident -notation. Please advise.

-

/: can be used if one is certain that pol2 is of -degree at least one. But read the warning about it being unstable -even in that case.

-
-
-
-

prem(<pol. expr. 1>, <pol. expr. 2>)

-
-

Produces a nutple [m, spR] where spR is the (special) pseudo -Euclidean remainder. Its description is:

-
    -
  • the standard euclidean remainder R is spR/m

  • -
  • m = b^f with b equal to the absolute value of the -leading coefficient of pol2,

  • -
  • f is the number of non-zero coefficients in the euclidean -quotient, if deg(pol2)>0 (even if the remainder vanishes).

    -

    If pol2 is a scalar however, the function outputs [1,0].

    -
  • -
-

With these definitions one can show that if both pol1 and -pol2 have integer coefficients, then this is also the case of -spR, which makes its interest (and also m*Q has integer -coefficients, with Q the euclidean quotient, if deg(pol2)>0). -Also, prem() is computed faster than rem() for such integer -coefficients polynomials.

-
-

Hint

-

If you want the euclidean quotient R evaluated via spR/m -(which may be faster, even with non integer coefficients) use -subs(last(x)/first(x),x=prem(P,Q)) syntax as it avoids -computing prem(P,Q) twice. This does the trick both in -\poldef or in \xintdefvar.

-

However, as is explained in the xintexpr documentation, using -such syntax in an \xintdeffunc is (a.t.t.o.w) illusory, due to -technicalities of how subs() gets converted into nested -expandable macros. One needs an auxiliary function like this:

-
\xintdeffunc lastoverfirst(x):=last(x)/first(x);
-\xintdeffunc myR(x)=lastoverfirst(prem(x));
-

Then, myR(pol1,pol2) will evaluate prem(pol1,pol2) only -once and compute a polynomial identical to the euclidean -remainder (internal representations of coefficients may differ).

-
-

In this case of integer coefficients polynomials, the polexpr -internal representation of the integer coefficients in the pseudo -remainder will be with unit denominators only if that was already the -case for those of pol1 and pol2 (no automatic reduction to -lowest terms is made prior or after computation).

-

Pay attention here that b is the absolute value of the -leading coefficient of pol2. Thus the coefficients of the -pseudo-remainder have the same signs as those of the standard -remainder. This diverges from Maple's function with the same name.

-
-
-
-

divmod(<pol. expr. 1>, <pol. expr. 2>)

-
-

Overloads the scalar divmod() and associates it with the -experimental // and /: as extended to the polynomial type.

-

In particular when both pol1 and pol2 are scalars, this is -the usual divmod() (as in Python) and for pol1 and pol2 -non constant polynomials, this is the same as quorem().

-
-

Highly unstable overloading of \xinteval's divmod().

-
-
-
-
-

mod(<pol. expr. 1>, <pol. expr. 2>)

-
-

The R of the divmod() output. Same as R of quorem() -when the second argument pol2 is of degree at least one.

-
-

Highly unstable overloading of \xinteval's mod().

-
-
-
-
-

polgcd(<pol. expr. 1>, <pol. expr. 2>, ...)

-
-

Evaluates to the greatest common polynomial divisor of all the -polynomial inputs. The output is a primitive (in particular, -with integer coefficients) polynomial. It is zero if and only if all -inputs vanish.

-

Attention, there must be either at least two polynomial variables, or -alternatively, only one argument which then must be a bracketed list -or some expression or variable evaluating to such a "nutple" whose -items are polynomials (see the documentation of the scalar gcd() -in xintexpr).

-
-

The two variable case could (and was, during development) have been -defined at user level like this:

-
\xintdeffunc polgcd_(P,Q):=
-  (deg(Q))??{P}{1}{polgcd_(Q,primpart(last(prem(P,Q))))};
-\xintdeffunc polgcd(P,Q):=polgcd_(primpart(P),primpart(Q));%
-

This is basically what is done internally for two polynomials, up -to some internal optimizations.

-
-

UNSTABLE

-

I hesitate between returning a primitive or a monic polynomial. -Maple returns a primitive polynomial if all inputs 3 have integer -coefficients, else it returns a monic polynomial, but this is -complicated technically for us to add such a check and would add -serious overhead.

-

Internally, computations are done using primitive -integer-coefficients polynomials (as can be seen in the function -template above). So I decided finally to output a primitive -polynomial, as one can always apply monicpart() to it.

-

Attention that this is at odds with behaviour of the legacy -\PolGCD (non expandable) macro.

-
-
3
-

actually, only two polynomial arguments are allowed by Maple's -gcd() as far as I know.

-
-
-
-
-
-

resultant(<pol. expr. 1>, <pol. expr. 2>)

-
-

The resultant.

-
-

NOT YET IMPLEMENTED

-
-
-
-
-

disc(<pol. expr.>)

-
-

The discriminant.

-
-

NOT YET IMPLEMENTED

-
-
-
-
-

polpowmod(<pol. expr. 1>, <num. expr.>, <pol. expr. 2>)

-
-

Modular exponentiation: mod(pol1^N, pol2) in a more efficient -manner than first computing pol1^N then reducing modulo pol2.

-

Attention that this is using the mod() operation, whose current -experimental status is as follows:

-
    -
  • if deg(pol2)>0, the euclidean remainder operation,

  • -
  • if pol2 is a scalar, coefficient-wise reduction modulo pol2.

  • -
-

UNSTABLE

-
-

This is currently implemented at high level via \xintdeffunc and -recursive definitions, which were copied over from a scalar example -in the xintexpr manual:

-
\xintdeffunc polpowmod_(P, m, Q) :=
-       isone(m)?
-           % m=1: return P modulo Q
-           {   mod(P,Q)  }
-           % m > 1: test if odd or even and do recursive call
-           {   odd(m)? {  mod(P*sqr(polpowmod_(P, m//2, Q)), Q) }
-                       {  mod(  sqr(polpowmod_(P, m//2, Q)), Q) }
-            }
-         ;%
-\xintdeffunc polpowmod(P, m, Q) := (m)?{polpowmod_(P, m, Q)}{1};%
-

Negative exponents are not currently implemented.

-

For example:

-
\xinteval{subs(polpowmod(1+x,100,x^7),x=pol([0,1]))}
-\xinteval{subs(polpowmod(1+x,20,10), x=pol([0,1]))}
-

produce respectively:

-
pol([1, 100, 4950, 161700, 3921225, 75287520, 1192052400])
-pol([1, 0, 0, 0, 5, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0, 4, 5, 0, 0, 0, 1])
-
-
-
-
-

rdcoeffs(<pol. expr.>)

-
-

This operates on the internal representation of the coefficients, -reducing them to lowest terms.

-
-

name HIGHLY undecided

-
-
-
-
-

rdzcoeffs(<pol. expr.>)

-
-

This operates on the internal representation of the coefficients, -reducing them to lowest terms then extracting from numerator -or denominator the maximal power of ten to store as a decimal -exponent.

-

This is sometimes favourable to more efficient polynomial algebra -computations.

-
-

name HIGHLY undecided

-
-
-
-
-

diff1(<pol. expr.>)

-
-

The first derivative.

-
-

name UNSTABLE

-

This name may be used in future to be the partial derivative with -respect to a first variable.

-
-
-
-
-

diff2(<pol. expr.>)

-
-

The second derivative.

-
-

name UNSTABLE

-

This name may be used in future to be the partial derivative with -respect to a second variable.

-
-
-
-
-

diffn(<pol. expr. P>, <num. expr. n>)

-
-

The nth derivative of P. For n<0 computes iterated primitives -vanishing at the origin.

-

The coefficients are not reduced to lowest terms.

-
-

name and syntax UNSTABLE

-

I am also considering reversing the order of the arguments.

-
-
-
-
-

antider(<pol. expr. P>)

-
-

The primitive of P with no constant term. Same as diffn(P,-1).

-
-
-
-

intfrom(<pol. expr. P>, <pol. expr. c>)

-
-

The primitive of P vanishing at c, i.e. \int_c^x P(t)dt.

-

Also c can be a polynomial... so if c is monomial x -this will give zero!

-
-

UNSTABLE

-

Allowing general polynomial variable for c adds a bit of -overhead to the case of a pure scalar. So I am hesitating -maintaining this feature whose interest appears dubious.

-
-
-
-
-

integral(<pol. expr. P>, [<pol. expr. a>, <pol. expr. b>])

-
-

\int_a^b P(t)dt.

-
-

Warning

-

The brackets here are not denoting an optional argument -but a mandatory nutple argument [a, b] with two items.

-
-

a and b are not restricted to be scalars, they are allowed to -be themselves polynomial variables or even polynomial expressions.

-
-

To compute \int_{x-1}^x P(t)dt it is more efficient to use -intfrom(x-1).

-

Similary to compute \int_x^{x+1} P(t)dt, use -intfrom(x+1).

-

UNSTABLE

-

Am I right to allow general polynomials a and b hence add -overhead to the pure scalar case ?

-
-
-
-
-
-

Non-expandable macros

-
-

Note

-

At 0.8 polexpr is usable with Plain TeX and not only with -LaTeX. Some examples given in this section may be using LaTeX syntax -such as \renewcommand.

-
-
-

\poldef polname(letter):= expression using the letter as indeterminate;

-
-

This evaluates the polynomial expression and stores the -coefficients in a private structure accessible later via other -package macros, used with argument polname. Of course the -expression can make use of previously defined polynomials.

-

Polynomial names must start with a letter and are constituted of -letters, digits, underscores and the right tick '.

-

The whole xintexpr syntax is authorized, as long as the final -result is of polynomial type:

-
\poldef polname(z) := add((-1)^i z^(2i+1)/(2i+1)!, i = 0..10);
-

With fractional coefficients, beware the tacit multiplication issue.

-

Furthermore:

-
    -
  • a variable polname is defined which can be used in \poldef -as well as in \xinteval for algebraic computations or as -argument to polynomial aware functions,

  • -
  • a function polname() is defined which can be used in \poldef -as well as in \xinteval. It accepts there as argument scalars -and also other polynomials (via their names, thanks to previous -item).

  • -
-

Notice that any function defined via \xintdeffunc and using -only algebraic operations (and ople indexing or slicing operations) -should work fine in \xintexpr/\xinteval with such polynomial -names as argument.

-

In the case of a constant polynomial, the xintexpr variable (not the -internal data structure on which the package macros operate) -associated to it is indistinguishable from a scalar, it is actually -a scalar and has lost all traces from its origins as a polynomial -(so for example can be used as argument to the cos() function).

-

The function on the other hand remains a one-argument function, -which simply has a constant value.

-
-

Attention!

-

The function polname() is defined only for -\xintexpr/\xinteval -context. It will be unknown to \xintfloateval.

-

Worse, a -previously existing floating point function of the same name will -be let undefined again, to avoid hard to debug mismatches between -exact and floating point polynomials. This also applies when the -polynomial is produced not via \poldef or \PolDef but -as result of usage of the other package macros.

-

See \PolGenFloatVariant{<polname>} to generate a function -usable in \xintfloateval.

-
-
-

Attention!

-

Using the variable mypol inside \xintfloateval will -generate low-level errors because the infix operators there are -not polynomial-aware, and the polynomial specific functions such -as deg() are only defined for usage inside \xintexpr.

-

In short, currently polynomials defined via polexpr can -be used in floating point context only for numerical evaluations, -via functions obtained from \PolGenFloatVariant{<polname>} -usage.

-

Changes to the original polynomial via package macros are not -automatically mapped to the numerical floating point evaluator -which must be manually updated as necessary when the original -rational coefficient polynomial is modified.

-
-

The original expression is lost after parsing, and in particular the -package provides no way to typeset it (of course the package -provides macros to typeset the computed polynomial). Typesetting -the original expression has to be done manually, if needed.

-
-
-
-

\PolDef[<letter>]{<polname>}{<expr. using the letter as indeterminate>}

-
-

Does the same as \poldef in an undelimited macro -format, the main interest is to avoid potential problems with the -catcode of the semi-colon in presence of some packages. In absence -of a [<letter>] optional argument, the variable is assumed to be -x.

-
-
-
-

\PolGenFloatVariant{<polname>}

-
-

Makes the polynomial also usable in the -\xintfloatexpr/\xintfloateval parser. It will therein evaluates -via an Horner scheme using polynomial coefficients already -pre-rounded to the float precision.

-

See also \PolToFloatExpr{<pol. expr.>}.

-
-

Attention!

-

Any operation, for example generating the derivative polynomial, -or dividing two polynomials or using the \PolLet, must be -followed by explicit usage of \PolGenFloatVariant{<polname>} if -the new polynomial is to be used in \xintfloateval.

-
-
-
-
-

\PolTypeset{<pol. expr.>}

-
-

Typesets in descending powers, switching to math mode if in text -mode, after evaluating the polynomial expression:

-
\PolTypeset{mul(x-i,i=1..5)}% possible since polexpr 0.8
-

The letter used in the input expression is by default x, -but can be modified by a redefinition of \PolToExprInVar.

-

It uses also by default the letter x on output but this one can -be changed via an optional argument:

-
\PolTypeset[z]{polname or polynomial expression}
-

By default zero coefficients are skipped (use \poltypesetalltrue -to get all of them in output).

-

The following macros (whose meanings will be found in the package code) -can be re-defined for customization. Their default definitions are -expandable, but this is not a requirement.

-
-
-

\PolTypesetCmd{<raw_coeff>}

-
-

Its package definition checks if the coefficient is 1 or -1 -and then skips printing the 1, except for the coefficient of -degree zero. Also it sets the conditional deciding behaviour of -\PolIfCoeffIsPlusOrMinusOne{T}{F}.

-

The actual printing of the coefficients, when not equal to plus or -minus one, is handled by \PolTypesetOne{<raw_coeff>}.

-
-
-

\PolIfCoeffIsPlusOrMinusOne{T}{F}

-
-

This macro is a priori undefined.

-

It is defined via the default \PolTypesetCmd{<raw_coeff>} to be -used if needed in the execution of \PolTypesetMonomialCmd, -e.g. to insert a \cdot in front of \PolVar^{\PolIndex} if -the coefficient is not plus or minus one.

-

The macro will execute T if the coefficient has been found to be -plus or minus one, and F if not. It chooses expandably between -T and F.

-
-
-
-
-

\PolTypesetOne{<raw_coeff>}

-
-

Defaults to \xintTeXsignedFrac (LaTeX) or \xintTeXsignedOver -(else). But these xintfrac old legacy macros are a bit -annoying as they insist in exhibiting a power of ten rather than -using simpler decimal notation.

-

As alternative, one can do definitions such as:

-
\def\PolTypesetOne#1{\xintDecToString{\xintREZ{#1}}}
-% or with LaTeX+siunitx for example
-\renewcommand\PolTypesetOne[1]{\num{\xintPFloat[5]{#1}}}
-% (as \num of siunitx understands floating point notation)
-\renewcommand\PolTypesetOne[1]{\num{\xintRound{4}{#1}}}
-
-
-
-

\PolTypesetMonomialCmd

-
-

This decides how a monomial (in variable \PolVar and with -exponent \PolIndex) is to be printed. The default does nothing -for the constant term, \PolVar for the first degree and -\PolVar^{\PolIndex} for higher degrees monomials. Beware that -\PolIndex expands to digit tokens and needs termination in -\ifnum tests.

-
-
-
-

\PolTypesetCmdPrefix{<raw_coeff>}

-
-

Expands to a + if the raw_coeff is zero or positive, and to -nothing if raw_coeff is negative, as in latter case the -\xintTeXsignedFrac (or \xintTeXsignedOver) used by -\PolTypesetCmd{<raw_coeff>} will put the - sign in front of -the fraction (if it is a fraction) and this will thus serve as -separator in the typeset formula. Not used for the first term.

-
-
-
-
-

\PolTypeset*{<pol. expr.>}

-
-

Typesets in ascending powers. Use [<letter>] optional argument -(after the *) to use another letter than x.

-

Extended at 0.8 to accept general expressions and not only -polynomial names. Redefine \PolToExprInVar to use in the -expression another letter than default x.

-
-
- -
-

\PolLet{<polname_2>}={<polname_1>}

-
-

Makes a copy of the already defined polynomial polname_1 to a -new one polname_2. This has the same effect as -\PolDef{<polname_2>}{<polname_1>(x)} or (better) -\PolDef{<polname_2>}{<polname_1>} but with less overhead. The -= is optional.

-
-
- -
-

\PolAssign{<polname>}\toarray\macro

-
-

Defines a one-argument expandable macro \macro{#1} which expands -to the (raw) #1th polynomial coefficient.

-
    -
  • Attention, coefficients here are indexed starting at 1. This is -an unfortunate legacy situation related to the original indexing -convention in xinttools arrays.

  • -
  • With #1=-1, -2, ..., \macro{#1} returns leading coefficients.

  • -
  • With #1=0, returns the number of coefficients, i.e. 1 + deg f -for non-zero polynomials.

  • -
  • Out-of-range #1's return 0/1[0].

  • -
-

See also \PolNthCoeff{<polname>}{<index>}.

-
-
-
-

\PolGet{<polname>}\fromarray\macro

-
-

Does the converse operation to -\PolAssign{<polname>}\toarray\macro. Each individual -\macro{<value>} gets expanded in an \edef and then normalized -via xintfrac's macro \xintRaw.

-

The leading zeros are removed from the polynomial.

-

(contrived) Example:

-
\xintAssignArray{1}{-2}{5}{-3}\to\foo
-\PolGet{f}\fromarray\foo
-

This will define f as would have \poldef f(x):=1-2x+5x^2-3x^3;.

-
-
-
-

\PolFromCSV{<polname>}{<csv>}

-
-

Defines a polynomial directly from the comma separated list of values -(or a macro expanding to such a list) of its coefficients, the first -item gives the constant term, the last item gives the leading -coefficient, except if zero, then it is dropped (iteratively). List -items are each expanded in an \edef and then put into normalized -form via xintfrac's macro \xintRaw.

-

As leading zero coefficients are removed:

-
\PolFromCSV{f}{0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
-

defines the zero polynomial, which holds only one coefficient.

-

See also expandable macro \PolToCSV{<polname>}.

-
-
-
-

\PolMapCoeffs{\macro}{<polname>}

-
-

It modifies ('in-place': original coefficients get lost) each -coefficient of the defined polynomial via the expandable macro -\macro. The degree is adjusted as necessary if some leading -coefficients vanish after the operation.

-

In the replacement text of \macro, \index expands to the -coefficient index (starting at zero for the constant term).

-

Notice that \macro will have to handle inputs in the xintfrac -internal format. This means that it probably will have to be -expressed in terms of macros from the xintfrac package.

-

Example:

-
\def\foo#1{\xintMul{#1}{\the\numexpr\index*\index\relax}}
-

(or with \xintSqr{\index}) to replace n-th coefficient -f_n by f_n*n^2.

-
-
-
-

\PolReduceCoeffs{<polname>}

-
-

Reduces the internal representations of the coefficients to -their lowest terms.

-
-
-
-

\PolReduceCoeffs*{<polname>}

-
-

Reduces the internal representations of the coefficients to their -lowest terms, but ignoring a possible separated "power of ten part".

-

For example, xintfrac stores an 30e2/50 input as 30/50 with -a separate 10^2 part. This will thus get replaced by 3e^2/5 -(or rather whatever xintfrac uses for internal representation), and -not by 60 as would result from complete reduction.

-

Evaluations with polynomials treated by this can be much faster than -with those handled by the non-starred variant -\PolReduceCoeffs{<polname>}: as the numerators and denominators -remain generally smaller.

-
-
-
-

\PolMakeMonic{<polname>}

-
-

Divides by the leading coefficient. It is recommended to execute -\PolReduceCoeffs*{<polname>} immediately afterwards. This is not -done automatically, in case the original polynomial had integer -coefficients and the user wants to keep the leading one as common -denominator for typesetting purposes.

-
-
-
-

\PolMakePrimitive{<polname>}

-
-

Divides by the integer content see (\PolIContent). -This thus produces a polynomial with integer -coefficients having no common factor. The sign of the leading -coefficient is not modified.

-
-
-
-

\PolDiff{<polname_1>}{<polname_2>}

-
-

This sets polname_2 to the first derivative of polname_1. It -is allowed to issue \PolDiff{f}{f}, effectively replacing f -by f'.

-

Coefficients of the result polname_2 are irreducible fractions -(see Technicalities for the whole story.)

-
-
-
-

\PolDiff[N]{<polname_1>}{<polname_2>}

-
-

This sets polname_2 to the N-th derivative of polname_1. -Identical arguments is allowed. With N=0, same effect as -\PolLet{<polname_2>}={<polname_1>}. With negative N, switches to -using \PolAntiDiff.

-
-
-
-

\PolAntiDiff{<polname_1>}{<polname_2>}

-
-

This sets polname_2 to the primitive of polname_1 vanishing -at zero.

-

Coefficients of the result polname_2 are irreducible fractions -(see Technicalities for the whole story.)

-
-
-
-

\PolAntiDiff[N]{<polname_1>}{<polname_2>}

-
-

This sets polname_2 to the result of N successive integrations on -polname_1. With negative N, it switches to using \PolDiff.

-
-
-
-

\PolDivide{<polname_1>}{<polname_2>}{<polname_Q>}{<polname_R>}

-
-

This sets polname_Q and polname_R to be the quotient and -remainder in the Euclidean division of polname_1 by -polname_2.

-
-
-
-

\PolQuo{<polname_1>}{<polname_2>}{<polname_Q>}

-
-

This sets polname_Q to be the quotient in the Euclidean division -of polname_1 by polname_2.

-
-
-
-

\PolRem{<polname_1>}{<polname_2>}{<polname_R>}

-
-

This sets polname_R to be the remainder in the Euclidean division -of polname_1 by polname_2.

-
-
-
-

\PolGCD{<polname_1>}{<polname_2>}{<polname_GCD>}

-
-

This sets polname_GCD to be the (monic) GCD of polname_1 -and polname_2. It is a unitary polynomial except if both -polname_1 and polname_2 vanish, then polname_GCD is the -zero polynomial.

-
-
-
-
-

Expandable macros

-
-

Note

-

At 0.8 polexpr is usable with Plain TeX and not only with -LaTeX. Some examples given in this section may be using LaTeX syntax -such as \renewcommand. Convert to TeX primitives as appropriate -if testing with a non LaTeX macro format.

-
-

These macros expand completely in two steps except \PolToExpr and -\PolToFloatExpr which need a \write, \edef or a -\csname...\endcsname context.

-
-

\PolToExpr{<pol. expr.>}

-
-

Produces expandably 4 the string coeff_N*x^N+..., i.e. the -polynomial is using descending powers.

-
-
4
-

requires exhaustive expansion, for example as triggered by -\write or \edef.

-
-
-

Since 0.8 the input is not restricted to be a polynomial name but -is allowed to be an arbitrary expression. Then x is expected as -indeterminate but this can be customized via \PolToExprInVar.

-

The output uses the letter x by default, this is customizable -via \PolToExprVar. The default output is compatible both with

-
    -
  • the Maple's input format,

  • -
  • and the PSTricks \psplot[algebraic] input format.

  • -
-

Attention that it is not compatible with Python, see further -\PolToExprCaret in this context.

-

The following applies:

-
    -
  • vanishing coefficients are skipped (issue \poltoexpralltrue to -override this and produce output such as x^3+0*x^2+0*x^1+0),

  • -
  • negative coefficients are not prefixed by a + sign (else, -Maple would not be happy),

  • -
  • coefficients numerically equal to 1 (or -1) are present -only via their sign,

  • -
  • the letter x is used and the degree one monomial is output as -x, not as x^1.

  • -
  • (0.8) the caret ^ is of catcode 12. This means that one -can for convenience typeset in regular text mode, for example -using \texttt (in LaTeX). But TeX will not know how to break -the expression across end-of-lines anyhow. Formerly ^ was -suitable for math mode but as the exponent is not braced this -worked only for polynomials of degrees at most 9. Anyhow this -is not supposed to be a typesetting macro.

  • -
-

Complete customization is possible, see the next macros. Any user -redefinition must maintain the expandability property.

-
-
-

\PolToExprVar

-
-

Defaults to x. The letter used in the macro output.

-
-
-
-

\PolToExprInVar

-
-

Defaults to x: the letter used as the polynomial indeterminate -in the macro input.

-

Recall that declared polynomials are more efficiently used in -algebraic expressions without the (x), i.e. P*Q is better -than P(x)*Q(x). Thus the input, even if an expression, does not -have to contain any x.

-

(new with 0.8)

-
-
-
-

\PolToExprTimes

-
-

Defaults to *.

-
-
-
-

\PolToExprCaret

-
-

Defaults to ^ of catcode 12. Set it to -expand to ** for Python compatible output.

-

(new with 0.8)

-
-
-
-

\PolToExprCmd{<raw_coeff>}

-
-

Defaults to \xintPRaw{\xintRawWithZeros{#1}}.

-

This means that the coefficient value is printed-out as a fraction -a/b, skipping the /b part if b turns out to be one.

-

Configure it to be \xintPRaw{\xintIrr{#1}} if the fractions -must be in irreducible terms.

-

An alternative is \xintDecToString{\xintREZ{#1}} which uses -integer or decimal fixed point format such as 23.0071 if the -internal representation of the number only has a power of ten as -denominator (the effect of \xintREZ here is to remove trailing -decimal zeros). The behaviour of \xintDecToString is not yet -stable for other cases, and for example at time of writing no -attempt is made to identify inputs having a finite decimal expansion -so for example 23.007/2 or 23.007/25 can appear in output -and not their finite decimal expansion with no denominator.

-
-
-
-

\PolToExprOneTerm{<raw_coeff>}{<exponent>}

-
-

This is the macro which from the coefficient and the exponent -produces the corresponding term in output, such as 2/3*x^7.

-

For its default definition, see the source code. It uses -\PolToExprCmd, \PolToExprTimes, \PolToExprVar and -\PolToExprCaret.

-
-
-
-

\PolToExprOneTermStyleA{<raw_coeff>}{<exponent>}

-
-

This holds the default package meaning of \PolToExprOneTerm.

-
-
-
-

\PolToExprOneTermStyleB{<raw_coeff>}{<exponent>}

-
-

This holds an alternative meaning, which puts the fractional part of -a coefficient after the monomial, i.e. like this:

-
2*x^11/3+3*x^8/7-x^5-x^4/4-x^3-x^2/2-2*x+1
-

\PolToExprCmd isn't used at all in this style. But -\PolToExprTimes, \PolToExprVar and \PolToExprCaret are obeyed.

-

To activate it use \let\PolToExprOneTerm\PolToExprOneTermStyleB. -To revert to the package default behaviour, issue -\let\PolToExprOneTerm\PolToExprOneTermStyleA.

-
-
-
-

\PolToExprTermPrefix{<raw_coeff>}

-
-

It receives as argument the coefficient. Its default behaviour is -to produce a + if the coefficient is positive, which will thus -serve to separate the monomials in the output. This is to match -the default for \PolToExprCmd{<raw_coeff>} which in case of a -positive coefficient does not output an explicit + prefix.

-
-
-
-
-

\PolToFloatExpr{<pol. expr.>}

-
-

Similar to \PolToExpr{<pol. expr.>} but using -\PolToFloatExprCmd{<raw_coeff>} which by default rounds and -converts the coefficients to floating point format.

-
-

Note

-

This is unrelated to \PolGenFloatVariant{<polname>}: -\PolToFloatExprCmd{<raw_coeff>} operates on the exact -coefficients anew (and may thus produce something else than -the coefficients of the polynomial function acting -in \xintfloateval if the floating point precision was changed -in between).

-
-

Extended at 0.8 to accept general expressions as input.

-
-
-

\PolToFloatExprOneTerm{<raw_coeff>}{<exponent>}

-
-

Similar to \PolToExprOneTerm{<raw_coeff>}{<exponent>}. But does not treat -especially coefficients equal to plus or minus one.

-
-
-
-

\PolToFloatExprCmd{<raw_coeff>}

-
-

The one-argument macro used by \PolToFloatExprOneTerm. -It defaults to \xintPFloat{#1}, which trims trailing -zeroes.

-

changed at 0.8.2 Formerly it was using \xintFloat.

-
-
-
-
-

\PolToExpr*{<pol. expr.>}

-
-

Ascending powers: coeff_0+coeff_1*x+coeff_2*x^2+....

-

Extended at 0.8 to accept general expressions as input.

-

Customizable with the same macros as for -\PolToExpr{<pol. expr.>}.

-
-
-
-

\PolToFloatExpr*{<pol. expr.>}

-
-

Ascending powers.

-

Extended at 0.8 to accept general expressions as input.

-
-
-
-

\PolNthCoeff{<polname>}{<index>}

-
-

It expands to the raw N-th coefficient (N=0 corresponds to -the constant coefficient). If N is out of range, zero (in its -default xintfrac format 0/1[0]) is returned.

-

Negative indices N=-1, -2, ... return the leading -coefficient, sub-leading coefficient, ..., and finally 0/1[0] -for N<-1-degree.

-
-
-
-

\PolLeadingCoeff{<polname>}

-
-

Expands to the leading coefficient.

-
-
-
-

\PolDegree{<polname>}

-
-

It expands to the degree. This is -1 if zero polynomial but this -may change in future. Should it then expand to -\infty ?

-
-
-
-

\PolIContent{<polname>}

-
-

It expands to the contents of the polynomial, i.e. to the positive -fraction such that dividing by this fraction produces a polynomial -with integer coefficients having no common prime divisor.

-

See \PolMakePrimitive.

-
-
-
-

\PolToList{<polname>}

-
-

Expands to {coeff_0}{coeff_1}...{coeff_N} with N = degree, and -coeff_N the leading coefficient -(the zero polynomial does give {0/1[0]} and not an -empty output.)

-
-
-
-

\PolToCSV{<polname>}

-
-

Expands to coeff_0, coeff_1, coeff_2, ....., coeff_N, starting -with constant term and ending with leading coefficient. Converse -to \PolFromCSV{<polname>}{<csv>}.

-
-
-
-

\PolEval{<polname>}\AtExpr{<num. expr.>}

-
-

Same output as -\xinteval{polname(numerical expression)}.

-
-
-
-

\PolEval{<polname>}\At{<value>}

-
-

Evaluates the polynomial at the given value which must be in (or -expand to) a format acceptable to the xintfrac macros.

-
-
-
-

\PolEvalReduced{<polname>}\AtExpr{<num. expr.>}

-
-

Same output as \xinteval{reduce(polname(numerical expression))}.

-
-
-
-

\PolEvalReduced{<polname>}\At{<value>}

-
-

Evaluates the polynomial at the value which must be in (or expand -to) a format acceptable to the xintfrac macros, and outputs an -irreducible fraction.

-
-
-
-

\PolFloatEval{<polname>}\AtExpr{<num. expr.>}

-
-

Same output as \xintfloateval{polname(numerical expression)}.

-
-

Attention!

-

\PolGenFloatVariant must have -been issued before.

-
-

To use the exact coefficients with exactly executed additions -and multiplications and do the rounding only as the final last step, -the following syntax can be used: 5

-
\xintfloateval{3.27*\xintexpr f(2.53)\relax^2}
-
-
5
-

Cf. xintexpr documentation about nested expressions.

-
-
-
-
-
-

\PolFloatEval{<polname>}\At{<value>}

-
-

Evaluates the polynomial at the value which must be in (or expand -to) a format acceptable to the xintfrac macros.

-
-
- -
-
-

Booleans (with default setting as indicated)

-
-

\xintverbosefalse

-
-

This is actually an xintexpr configuration. Setting it to -true triggers the writing of information to the log when new -polynomial or scalar variables are defined.

-
-

Caution!

-

The macro and variable meanings as written to the log are to be -considered unstable and undocumented internal structures.

-
-
-
-
-

\polnewpolverbosefalse

-
-

When \poldef is used, both a variable and a function are -defined. The default \polnewpolverbosefalse setting suppresses -the print-out to the log and terminal of the function macro meaning, -as it only duplicates the information contained in the variable -which is already printed out to the log and terminal.

-

However \PolGenFloatVariant{<polname>} does still print out the -information relative to the polynomial function it defines for use in -\xintfloateval{} as there is no float polynomial variable, only the -function, and it is the only way to see its rounded coefficients -(\xintverbosefalse suppresses also that info).

-

If set to true, it overrides in both cases -\xintverbosefalse. The setting only affects polynomial -declarations. Scalar variables such as those holding information on -roots obey only the \xintverbose... setting.

-

(new with 0.8)

-
-
-
-

\poltypesetallfalse

-
-

If true, \PolTypeset will also typeset the vanishing -coefficients.

-
-
-
-

\poltoexprallfalse

-
-

If true, \PolToExpr{<pol. expr.>} and \PolToFloatExpr{<pol. expr.>} will -also include the vanishing coefficients in their outputs.

-
-
-
-
-

Utilies

-
-

\PolDecToString{decimal number}

-
-

This is a utility macro to print decimal numbers. It is an alias -for \xintDecToString.

-
-
-

For example -\PolDecToString{123.456e-8} will expand to 0.00000123456 -and \PolDecToString{123.450e-8} to 0.00000123450 which -illustrates that trailing zeros are not trimmed.

-

To trim trailing zeroes, one can use -\PolDecToString{\xintREZ{#1}}.

-

Attention that a.t.t.o.w. if the argument is for example 1/5, the -macro does not identify that this is in fact a number with a finite -decimal expansion and it outputs 1/5. See current xintfrac -documentation.

-
-
-
-

\polexprsetup

-
-

Serves to customize the package. Currently only two keys are -recognized:

-
    -
  • norr: the postfix that \PolSturmIsolateZeros**{<sturmname>} -should append to <sturmname> to declare the primitive polynomial -obtained from original one after removal of all rational roots. -The default value is _norr (standing for “no rational rootsâ€).

  • -
  • sqfnorr: the postfix that \PolSturmIsolateZeros**{<sturmname>} -should append to <sturmname> to declare the primitive polynomial -obtained from original one after removal of all rational roots and -suppression of all multiplicities. -The default value is _sqf_norr (standing for “square-free with -no rational rootsâ€).

  • -
-

The package executes \polexprsetup{norr=_norr, sqfnorr=_sqf_norr} as default.

-
-
-
-
-

Technicalities

-
    -
  • The catcode of the semi-colon is reset temporarily by \poldef macro in case some other package (for example the French -babel module) may have made it active. This will fail though if the -whole thing was already part of a macro argument, in such cases one -can use \PolDef rather. The colon in := may be -active with no consequences.

  • -
  • As a consequence of xintfrac addition and subtraction always using -least common multiples for the denominators, user-chosen common -denominators survive additions and multiplications. For example, this:

    -
    \poldef P(x):= 1/2 + 2/2*x + 3/2*x^3 + 4/2*x^4;
    -\poldef Q(x):= 1/3 + (2/3)x + (3/3)x^3 + (4/3)x^4;
    -\poldef PQ(x):= P*Q;
    -

    gives internally the polynomial:

    -
    1/6+4/6*x^1+4/6*x^2+6/6*x^3+20/6*x^4+16/6*x^5+9/6*x^6+24/6*x^7+16/6*x^8
    -

    where all coefficients have the same denominator 6. Notice though that -\PolToExpr{PQ} outputs the 6/6*x^3 as x^3 because (by -default) it recognizes and filters out coefficients equal to one or -minus one. One can use for example -\PolToCSV{PQ} to see the internally stored coefficients.

    -
  • -
  • \PolDiff{<polname_1>}{<polname_2>} always applies \xintPIrr to the -resulting coefficients, which means that fractions are reduced to -lowest terms but ignoring an already separated power of ten part [N] -present in the internal representation. This is tentative and may change.

    -

    Same remark for \PolAntiDiff{<polname_1>}{<polname_2>}.

    -
  • -
  • Currently, the package stores all coefficients from index 0 to -index equal to the polynomial degree inside a single macro, as a list. -This data structure is obviously very inefficient for polynomials of -high degree and few coefficients (as an example with \poldef f(x):=x^1000 + x^500; the subsequent definition \poldef g(x):= f(x)^2; will do of the order of 1,000,000 multiplications and -additions involvings only zeroes... which does take time). This -may change in the future.

  • -
  • As is to be expected internal structures of the package are barely -documented and unstable. Don't use them.

  • -
-
-
-

CHANGE LOG

- -
-
-

Acknowledgments

-

Thanks to Jürgen Gilg whose question about xintexpr usage for -differentiating polynomials was the initial trigger leading to this -package, and to Jürgen Gilg and Thomas Söll for testing it on some -concrete problems.

-

Renewed thanks to them on occasion of the 0.6, 0.7, and 0.8 -releases for their continued interest.

-

See README.md for the License.

-
-
- - +defined by polexpr itself.

+ +
+

License is LPPL 1.3c

+

This work is distributed under the conditions of the +LaTeX Project Public License version 1.3c.

+

See README.md for details.

+
+
+

In memoriam: Jürgen Gilg (1967-2022)

+

My first contact with Jürgen was in January 2018, and his little +question about usage of xintexpr for differentiating polynomials +proved the direct cause for the creation of polexpr. His regular comments and questions (often, jointly +with Thomas Söll) largely contributed to motivate the author into +investing time and effort into the somewhat strange occupation of +developing such unusual TeX/LaTeX packages. The topics of our +discussions evolved over the years and were not limited to TeX, LaTeX, +PSTricks or PostScript matters.

+

I learned to discover and appreciate his unassuming and kind character. +He was very conscientious in all his projects with others and was often +overly generous in his appreciation of people’s contributions. On +receiving the sad news of his unexpected and untimely death, I initially +thought I had been knowing him for at least 10 years, but it is actually +only a bit more than 4 years… I will sorely miss this friendship with +a gentle soul from over the Rhine.

+

I dedicate the work which has gone into polexpr to Jürgen’s memory.

+
+
+
+ + + +
+
+
+
+ +
+
+ + + + \ No newline at end of file diff --git a/macros/generic/polexpr/polexpr.rst.txt b/macros/generic/polexpr/polexpr.rst.txt new file mode 100644 index 0000000000..3186ab3680 --- /dev/null +++ b/macros/generic/polexpr/polexpr.rst.txt @@ -0,0 +1,157 @@ +.. comment: -*- fill-column: 72; mode: rst -*- + +========================= + Introduction to polexpr +========================= + +polexpr_ is a TeX and LaTeX macro package. + +To use it with Plain or formats other than LaTeX:: + + \input polexpr.sty + +To use it with LaTeX:: + + \usepackage{polexpr} + +polexpr_ loads xintexpr_ and extends its syntax with a polynomial type. + +Polynomials are defined via the :ref:`\\poldef ` parser and +can then be manipulated via TeX macros for various operations such +as obtaining G.C.D.s, computing derivatives, or indefinite +integrals... many of these functionalities are available directly +via functions in the syntax recognized by the ``\poldef`` parser. + +Apart from the final step of internally creating some TeX macros +associated with the polynomial name, this is all done completely +expandably, and a polynomial expression can be fetched directly to +``\xinteval`` for a completely expandable operation from start to +finish. + +For polynomials fully declared via ``\poldef``, root localization +implementing the `Sturm algorithm`_ is available via macros. +Arbitrarily long decimal expansion of all real roots can be +obtained, and all rational roots can be found exactly. + +The legacy documentation section which showed examples of root +localization has been moved to the `polexpr-examples.pdf +`_ document, where both the TeX code and its +output are displayed. + +To access this document (if the previous link for some reason does not +work):: + + texdoc polexpr-examples + + +Usage via xintsession_ +---------------------- + +The simplest manner to get a feeling for the package abilities regarding +in particularl root localization is to use it on the command line +via the xintsession_ interface. Here is an example:: + + $ rlwrap etex xintsession + [...xintsession welcome message...] + Starting in exact mode (floating point evaluations use 16 digits) + >>> &pol + pol mode (i.e. function definitions use \poldef) + >>> f(x) := x^7 - x^6 - 2x + 1; + f = x^7-x^6-2*x+1 + --> &GenFloat(f) lets f become usable as function in fp mode + --> &ROOTS(f) (resp. &ROOTS(f,N)) finds all rational roots exactly and + all irrational roots with at least 10 (resp. N) fractional digits + >>> &ROOTS(f) + Solving for real roots of f and assigning them (please wait...) + (mult. 1) Rootf_1 = -1.0719678841... + (mult. 1) Rootf_2 = 0.4962386948... + (mult. 1) Rootf_3 = 1.3151140860... + Square-free irrational part: x^7-x^6-2*x+1 + --> &REFINEROOTS(f,N) to extend real irr. roots to N fractional digits + >>> &REFINEROOTS(f,40) + Refining real roots of f to 40 digits (please wait...) + (mult. 1) Rootf_1 = -1.0719678841080266034109100331975342338141... + (mult. 1) Rootf_2 = 0.4962386948771497344730618510143671567979... + (mult. 1) Rootf_3 = 1.3151140860165192656960005018679846354234... + +The xintsession_ interface allows to define polynomial variables via its +``&pol`` mode. It also exposes :ref:`all polynomial functions added to the +xintexpr syntax ` by ``polexpr``. Further, as seen in the +example above it also covers some of the ``polexpr`` capabilities +currently implemented via user macros. This is to be considered a work +in progress, the above ``&ROOTS`` and ``&REFINEROOTS`` may be renamed +into something else, and may have been so already since this +documentation was written. + +Any input on the command line at the xintsession_ ``>>>`` prompt which +starts with a backslash is executed as TeX macros, so all macros of +``polexpr`` are in fact already available, including those typesetting +material in background of the interactive session on command line. The +``&ROOTS`` and ``&REFINEROOTS`` direct their outputs to the +terminal rather than to the TeX page as would the typesetting macros +defined by ``polexpr`` itself. + + +License is LPPL 1.3c +-------------------- + +This work is distributed under the conditions of the +LaTeX Project Public License version 1.3c. + +See README.md for details. + + +In memoriam: Jürgen Gilg (1967-2022) +------------------------------------ + +My first contact with Jürgen was in January 2018, and his *little +question* about usage of xintexpr_ for differentiating polynomials +proved the direct cause for the :ref:`creation of polexpr +`. His regular comments and questions (often, jointly +with Thomas Söll) largely contributed to motivate the author into +investing time and effort into the somewhat strange occupation of +developing such unusual TeX/LaTeX packages. The topics of our +discussions evolved over the years and were not limited to TeX, LaTeX, +PSTricks or PostScript matters. + +I learned to discover and appreciate his unassuming and kind character. +He was very conscientious in all his projects with others and was often +overly generous in his appreciation of people's contributions. On +receiving the sad news of his unexpected and untimely death, I initially +thought I had been knowing him for at least 10 years, but it is actually +only a bit more than 4 years... I will sorely miss this friendship with +a gentle soul from *over the Rhine*. + +I dedicate the work which has gone into polexpr_ to Jürgen's memory. + + +.. _polexpr: https://www.ctan.org/pkg/polexpr + +.. _xinttools: +.. _xintfrac: +.. _xint: https://www.ctan.org/pkg/xint + +.. _xintexpr: https://www.ctan.org/pkg/xintexpr + +.. _xintsession: https://www.ctan.org/pkg/xintsession + +.. _Wilkinson polynomial: https://en.wikipedia.org/wiki/Wilkinson%27s_polynomial + +.. _Sturm algorithm: +.. _Sturm Theorem: https://en.wikipedia.org/wiki/Sturm%27s_theorem + +.. _DocUtils: http://docutils.sourceforge.net/docs/index.html + + +.. toctree:: + :hidden: + :maxdepth: 2 + + polexpr-ref + polexpr-changes + + + +.. Local variables: +.. sentence-end-double-space: t; +.. End: diff --git a/macros/generic/polexpr/polexpr.sty b/macros/generic/polexpr/polexpr.sty index 7d3dbb36bd..b652675d91 100644 --- a/macros/generic/polexpr/polexpr.sty +++ b/macros/generic/polexpr/polexpr.sty @@ -2,7 +2,7 @@ % License: LPPL 1.3c (author-maintained) % Usage: \input polexpr.sty (Plain or other macro formats) % or \usepackage{polexpr} (LaTeX macro format) -% Release 0.8.6 (2022/01/09) of polexpr.sty. This file inputs +% Release 0.8.7 (2022/05/14) of polexpr.sty. This file inputs % polexprcore.tex % polexprexpr.tex % polexprsturm.tex @@ -54,7 +54,7 @@ \XINTsetupcatcodes% (does \endlinechar13 in particular) \XINT_providespackage \ProvidesPackage{polexpr}% - [2022/01/09 v0.8.6 Polynomial expressions with rational coefficients (JFB)]% + [2022/05/14 v0.8.7 Polynomial expressions with rational coefficients (JFB)]% \begingroup \def\x#1/#2/#3 #4\xint:{#1#2#3}% \ifnum\expandafter\x\expanded{\csname ver@xintexpr.sty\endcsname}\xint: @@ -199,12 +199,15 @@ %% %% \poldef %% -\def\PolDef{\POL@chkopt\POL@oPolDef[x]}% -\def\POL@oPolDef[#1]#2#3{\poldef #2(#1):={#3};}% -\def\poldef{\edef\POL@restoresemicolon{\catcode59=\the\catcode59\relax}% - \catcode59 12 \POL@defpol}% +%% Ever since 1.0, catcode sanitisation was minimal and only handled +%% the semicolon. At last 0.8.7 uses \xintexprSafeCatcodes to enhance +%% compatibility with hostile contexts such as babel+french. This +%% adds overhead but at least is coherent with \xintdefvar/\xintdeffunc +\def\PolDef{\xintexprSafeCatcodes\POL@chkopt\POL@oPolDef[x]}% +\def\POL@oPolDef[#1]#2#3{\POL@defpol #2(#1):={#3};}% +\def\poldef{\xintexprSafeCatcodes\POL@defpol}% \def\POL@defpol #1(#2)#3=#4;{% - \POL@restoresemicolon + \xintexprRestoreCatcodes \edef\POL@polname{\xint_zapspaces #1 \xint_gobble_i}% \begingroup \unless\ifxintveryverbose\xintverbosefalse\fi @@ -214,7 +217,7 @@ %% the associated macros was then deconstructed in further analysis %% via non-expandable approach. At 0.8 the polynomial algebra has %% been implemented expandably allowing direct plug-in into \xintexpr - \xintdefvar __pol = subs(#4,#2=qraw({{P1.{0/1[0]}{1/1[0]}}}));% + \xintdefvar_a __pol = subs(#4,#2=qraw({{P1.{0/1[0]}{1/1[0]}}}));% \expandafter \endgroup \expandafter\def\expandafter\POL@result\expandafter diff --git a/macros/generic/polexpr/polexprcore.tex b/macros/generic/polexpr/polexprcore.tex index 8dcc893844..8bf7fe2fd0 100644 --- a/macros/generic/polexpr/polexprcore.tex +++ b/macros/generic/polexpr/polexprcore.tex @@ -1,5 +1,5 @@ %% filename: polexprcore.tex -%% Part of the polexpr package (0.8.6, 2022/01/09) +%% Part of the polexpr package (0.8.7, 2022/05/14) %% %% Core routines for infix operators +, -, *, //, /:, ^, ** and functions %% diff --git a/macros/generic/polexpr/polexprexpr.tex b/macros/generic/polexpr/polexprexpr.tex index bbc860cbca..91087bcf4d 100644 --- a/macros/generic/polexpr/polexprexpr.tex +++ b/macros/generic/polexpr/polexprexpr.tex @@ -1,5 +1,5 @@ %% filename: polexprexpr.tex -%% Part of the polexpr package (0.8.6, 2022/01/09) +%% Part of the polexpr package (0.8.7, 2022/05/14) %% %% Polynomial extensions to the \xintexpr syntax: %% diff --git a/macros/generic/polexpr/polexprsturm.tex b/macros/generic/polexpr/polexprsturm.tex index 0edc8b8f0a..2f417c3333 100644 --- a/macros/generic/polexpr/polexprsturm.tex +++ b/macros/generic/polexpr/polexprsturm.tex @@ -1,5 +1,5 @@ %% filename: polexprsturm.tex -%% Part of the polexpr package (0.8.6, 2022/01/09) +%% Part of the polexpr package (0.8.7, 2022/05/14) %% %% Implements the Sturm localization Algorithm %% Added at polexpr 0.4 diff --git a/macros/latex/contrib/crefthe/crefthe-doc.pdf b/macros/latex/contrib/crefthe/crefthe-doc.pdf index 16dea32970..57189c0a06 100644 Binary files a/macros/latex/contrib/crefthe/crefthe-doc.pdf and b/macros/latex/contrib/crefthe/crefthe-doc.pdf differ diff --git a/macros/latex/contrib/crefthe/crefthe-doc.tex b/macros/latex/contrib/crefthe/crefthe-doc.tex index e7bb3e0977..f738d30107 100644 --- a/macros/latex/contrib/crefthe/crefthe-doc.tex +++ b/macros/latex/contrib/crefthe/crefthe-doc.tex @@ -111,7 +111,7 @@ \begin{document} -\def\PackageVersion{2022/04/24} +\def\PackageVersion{2022/05/13} \title{\crefthepackage{}\\\smallskip\itshape Cross referencing with proper definite articles} \author{Jinwen XU} @@ -255,7 +255,7 @@ To place hyperlinks at the right place, \lstinline|\crefthename| touches the cor \section{The relationship with \textsf{cleveref}} -\crefthepackage{} loads \textsf{cleveref} automatically and pass all the options to it. All its commands, used without optional arguments, degenerate to those in \textsf{cleveref}. For example, \lstinline|\crefthe{...}| is the same as \lstinline|\cref{...}|, and \lstinline|\crefthename| is the same as \lstinline|\crefname| if the definite articles are not specified. That said, you can safely use the command \lstinline|\crefthe| everywhere in your document without causing extra trouble. +\crefthepackage{} loads \textsf{cleveref} automatically and pass related options to it. All its commands, used without optional arguments, degenerate to those in \textsf{cleveref}. For example, \lstinline|\crefthe{...}| is the same as \lstinline|\cref{...}|, and \lstinline|\crefthename| is the same as \lstinline|\crefname| if the definite articles are not specified. That said, you can safely use the command \lstinline|\crefthe| everywhere in your document without causing extra trouble. With the package option \packageoption{overwrite}, user commands in \textsf{cleveref} will be replaced by those offered here, thus you can simply write \lstinline|\cref| for \lstinline|\crefthe| -- and similarly with \lstinline|\Cref|, \lstinline|\crefname| and \lstinline|\Crefname|. diff --git a/macros/latex/contrib/crefthe/crefthe.sty b/macros/latex/contrib/crefthe/crefthe.sty index 7c9a58965d..286a5dac86 100644 --- a/macros/latex/contrib/crefthe/crefthe.sty +++ b/macros/latex/contrib/crefthe/crefthe.sty @@ -13,18 +13,25 @@ \RequirePackage{l3keys2e} \ProvidesExplPackage {crefthe} - {2022/04/24} {} + {2022/05/13} {} {Cross referencing with proper definite articles} \keys_define:nn { crefthe } { - , overwrite .bool_set:N = \l__crefthe_overwrite_bool - , overwrite .initial:n = { false } - , unknown .code:n = - { \PassOptionsToPackage { \CurrentOption } { cleveref } } + , overwrite .bool_set:N = \l__crefthe_overwrite_bool + , overwrite .initial:n = { false } + , nameinlink .bool_set:N = \l__crefthe_nameinlink_bool + , nameinlink .initial:n = { false } + , unknown .code:n = + { \PassOptionsToPackage { \CurrentOption } { cleveref } } } \ProcessKeysOptions { crefthe } +\bool_if:NT \l__crefthe_nameinlink_bool + { + \PassOptionsToPackage { nameinlink } { cleveref } + } + \RequirePackage { cleveref } \RequirePackage { regexpatch } @@ -124,12 +131,15 @@ \cs_new_protected:Nn \__crefthe_name_general_do:nnnnnn { \use:c { crefthe_#6refname_original:w } { #1 } { #2 #3 } { #4 #5 } - \hook_gput_code:nnn { begindocument } { crefthe } + \bool_if:NT \l__crefthe_nameinlink_bool { - \crefthe_patch_format:nnnn { #6ref@#1@format } { #6ref@#1@name } { #2 } { #3 } - \crefthe_patch_format:nnnn { #6ref@#1@format@first } { #6ref@#1@name@plural } { #4 } { #5 } - \crefthe_patch_format:nnnn { #6refrange@#1@format } { #6ref@#1@name@plural } { #4 } { #5 } - \crefthe_patch_format:nnnn { #6refrange@#1@format@first } { #6ref@#1@name@plural } { #4 } { #5 } + \hook_gput_code:nnn { begindocument } { crefthe } + { + \crefthe_patch_format:nnnn { #6ref@#1@format } { #6ref@#1@name } { #2 } { #3 } + \crefthe_patch_format:nnnn { #6ref@#1@format@first } { #6ref@#1@name@plural } { #4 } { #5 } + \crefthe_patch_format:nnnn { #6refrange@#1@format } { #6ref@#1@name@plural } { #4 } { #5 } + \crefthe_patch_format:nnnn { #6refrange@#1@format@first } { #6ref@#1@name@plural } { #4 } { #5 } + } } } @@ -149,12 +159,15 @@ \exp_args:Nc \regexpatchcmd { #1 } { (\cP\# .) \c{ #2 } } { \u{l_tmpa_tl} \1 \u{l_tmpb_tl} } - { } { \PatchFailed } + { } { \msg_warning:nnn { crefthe } { format-patch-failed } { #1 } } \makeatother \seq_gput_right:Nn \g__crefthe_already_patched_seq { #1 - #2 } } } +\msg_new:nnn { crefthe } + { format-patch-failed } + { Failed~to~patch~the~format~"\iow_char:N \\#1"! } \cs_generate_variant:Nn \text_lowercase:n { V } \NewDocumentCommand \crefthemark { m } diff --git a/macros/latex/contrib/functional/README.txt b/macros/latex/contrib/functional/README.txt index 042790d1c7..37fd819693 100644 --- a/macros/latex/contrib/functional/README.txt +++ b/macros/latex/contrib/functional/README.txt @@ -1,4 +1,4 @@ -Functional: LaTeX2 functional interfaces for LaTeX3 programming layer +Functional: Intuitive Functional Programming Interface for LaTeX2 Copyright : 2022 (c) Jianrui Lyu CTAN Page : https://ctan.org/pkg/functional Repository: https://github.com/lvjr/functional diff --git a/macros/latex/contrib/functional/functional.pdf b/macros/latex/contrib/functional/functional.pdf index 3e430be2fd..b154fa20cc 100644 --- a/macros/latex/contrib/functional/functional.pdf +++ b/macros/latex/contrib/functional/functional.pdf @@ -60,1362 +60,1552 @@ endobj << /S /GoTo /D (section.2.2) >> endobj 36 0 obj -(\376\377\000R\000e\000t\000u\000r\000n\000\040\000V\000a\000l\000u\000e\000s\000\040\000o\000f\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) +(\376\377\000R\000e\000t\000u\000r\000n\000i\000n\000g\000\040\000V\000a\000l\000u\000e\000s\000\040\000a\000n\000d\000\040\000P\000r\000i\000n\000t\000i\000n\000g\000\040\000T\000o\000k\000e\000n\000s) endobj 37 0 obj -<< /S /GoTo /D (chapter.3) >> +<< /S /GoTo /D (section.2.3) >> endobj 40 0 obj -(\376\377\000A\000r\000g\000u\000m\000e\000n\000t\000\040\000U\000s\000i\000n\000g\000\040\000\050\000U\000s\000e\000\051) +(\376\377\000R\000u\000n\000n\000i\000n\000g\000\040\000C\000o\000d\000e\000\040\000w\000i\000t\000h\000\040\000A\000n\000o\000n\000y\000m\000o\000u\000s\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) endobj 41 0 obj -<< /S /GoTo /D (section.3.1) >> +<< /S /GoTo /D (chapter.3) >> endobj 44 0 obj -(\376\377\000E\000x\000p\000a\000n\000d\000i\000n\000g\000\040\000T\000o\000k\000e\000n\000s) +(\376\377\000A\000r\000g\000u\000m\000e\000n\000t\000\040\000U\000s\000i\000n\000g\000\040\000\050\000U\000s\000e\000\051) endobj 45 0 obj -<< /S /GoTo /D (section.3.2) >> +<< /S /GoTo /D (section.3.1) >> endobj 48 0 obj -(\376\377\000U\000s\000i\000n\000g\000\040\000T\000o\000k\000e\000n\000s) +(\376\377\000E\000x\000p\000a\000n\000d\000i\000n\000g\000\040\000T\000o\000k\000e\000n\000s) endobj 49 0 obj -<< /S /GoTo /D (chapter.4) >> +<< /S /GoTo /D (section.3.2) >> endobj 52 0 obj -(\376\377\000C\000o\000n\000t\000r\000o\000l\000\040\000S\000t\000r\000u\000c\000t\000u\000r\000e\000s\000\040\000\050\000B\000o\000o\000l\000\051) +(\376\377\000U\000s\000i\000n\000g\000\040\000T\000o\000k\000e\000n\000s) endobj 53 0 obj -<< /S /GoTo /D (section.4.1) >> +<< /S /GoTo /D (chapter.4) >> endobj 56 0 obj -(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000B\000o\000o\000l\000e\000a\000n\000s) +(\376\377\000C\000o\000n\000t\000r\000o\000l\000\040\000S\000t\000r\000u\000c\000t\000u\000r\000e\000s\000\040\000\050\000B\000o\000o\000l\000\051) endobj 57 0 obj -<< /S /GoTo /D (section.4.2) >> +<< /S /GoTo /D (section.4.1) >> endobj 60 0 obj -(\376\377\000B\000o\000o\000l\000e\000a\000n\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s) +(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000B\000o\000o\000l\000e\000a\000n\000s) endobj 61 0 obj -<< /S /GoTo /D (section.4.3) >> +<< /S /GoTo /D (section.4.2) >> endobj 64 0 obj -(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000S\000e\000t\000t\000i\000n\000g\000\040\000B\000o\000o\000l\000e\000a\000n\000s) +(\376\377\000B\000o\000o\000l\000e\000a\000n\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s) endobj 65 0 obj -<< /S /GoTo /D (section.4.4) >> +<< /S /GoTo /D (section.4.3) >> endobj 68 0 obj -(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000B\000o\000o\000l\000e\000a\000n\000s) +(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000S\000e\000t\000t\000i\000n\000g\000\040\000B\000o\000o\000l\000e\000a\000n\000s) endobj 69 0 obj -<< /S /GoTo /D (section.4.5) >> +<< /S /GoTo /D (section.4.4) >> endobj 72 0 obj -(\376\377\000B\000o\000o\000l\000e\000a\000n\000s\000\040\000a\000n\000d\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) +(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000B\000o\000o\000l\000e\000a\000n\000s) endobj 73 0 obj -<< /S /GoTo /D (section.4.6) >> +<< /S /GoTo /D (section.4.5) >> endobj 76 0 obj -(\376\377\000B\000o\000o\000l\000e\000a\000n\000s\000\040\000a\000n\000d\000\040\000L\000o\000g\000i\000c\000a\000l\000\040\000L\000o\000o\000p\000s) +(\376\377\000B\000o\000o\000l\000e\000a\000n\000s\000\040\000a\000n\000d\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) endobj 77 0 obj -<< /S /GoTo /D (chapter.5) >> +<< /S /GoTo /D (section.4.6) >> endobj 80 0 obj -(\376\377\000T\000o\000k\000e\000n\000\040\000L\000i\000s\000t\000s\000\040\000\050\000T\000l\000\051) +(\376\377\000B\000o\000o\000l\000e\000a\000n\000s\000\040\000a\000n\000d\000\040\000L\000o\000g\000i\000c\000a\000l\000\040\000L\000o\000o\000p\000s) endobj 81 0 obj -<< /S /GoTo /D (section.5.1) >> +<< /S /GoTo /D (chapter.5) >> endobj 84 0 obj -(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000T\000o\000k\000e\000n\000\040\000L\000i\000s\000t\000s) +(\376\377\000T\000o\000k\000e\000n\000\040\000L\000i\000s\000t\000s\000\040\000\050\000T\000l\000\051) endobj 85 0 obj -<< /S /GoTo /D (section.5.2) >> +<< /S /GoTo /D (section.5.1) >> endobj 88 0 obj -(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000T\000o\000k\000e\000n\000\040\000L\000i\000s\000t\000s) +(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000T\000o\000k\000e\000n\000\040\000L\000i\000s\000t\000s) endobj 89 0 obj -<< /S /GoTo /D (section.5.3) >> +<< /S /GoTo /D (section.5.2) >> endobj 92 0 obj -(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000T\000o\000k\000e\000n\000\040\000L\000i\000s\000t\000s) +(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000T\000o\000k\000e\000n\000\040\000L\000i\000s\000t\000s) endobj 93 0 obj -<< /S /GoTo /D (section.5.4) >> +<< /S /GoTo /D (section.5.3) >> endobj 96 0 obj -(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000T\000o\000k\000e\000n\000\040\000L\000i\000s\000t\000\040\000V\000a\000r\000i\000a\000b\000l\000e\000s) +(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000T\000o\000k\000e\000n\000\040\000L\000i\000s\000t\000s) endobj 97 0 obj -<< /S /GoTo /D (section.5.5) >> +<< /S /GoTo /D (section.5.4) >> endobj 100 0 obj -(\376\377\000R\000e\000p\000l\000a\000c\000i\000n\000g\000\040\000T\000o\000k\000e\000n\000s) +(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000T\000o\000k\000e\000n\000\040\000L\000i\000s\000t\000\040\000V\000a\000r\000i\000a\000b\000l\000e\000s) endobj 101 0 obj -<< /S /GoTo /D (section.5.6) >> +<< /S /GoTo /D (section.5.5) >> endobj 104 0 obj -(\376\377\000W\000o\000r\000k\000i\000n\000g\000\040\000w\000i\000t\000h\000\040\000t\000h\000e\000\040\000C\000o\000n\000t\000e\000n\000t\000\040\000o\000f\000\040\000T\000o\000k\000e\000n\000\040\000L\000i\000s\000t\000s) +(\376\377\000R\000e\000p\000l\000a\000c\000i\000n\000g\000\040\000T\000o\000k\000e\000n\000s) endobj 105 0 obj -<< /S /GoTo /D (section.5.7) >> +<< /S /GoTo /D (section.5.6) >> endobj 108 0 obj -(\376\377\000M\000a\000p\000p\000i\000n\000g\000\040\000o\000v\000e\000r\000\040\000T\000o\000k\000e\000n\000\040\000L\000i\000s\000t\000s) 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/S /GoTo /D (chapter.6) >> +<< /S /GoTo /D (section.5.9) >> endobj 120 0 obj -(\376\377\000S\000t\000r\000i\000n\000g\000s\000\040\000\050\000S\000t\000r\000\051) +(\376\377\000T\000o\000k\000e\000n\000\040\000L\000i\000s\000t\000\040\000C\000a\000s\000e\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) endobj 121 0 obj -<< /S /GoTo /D (section.6.1) >> +<< /S /GoTo /D (chapter.6) >> endobj 124 0 obj -(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000S\000t\000r\000i\000n\000g\000s) +(\376\377\000S\000t\000r\000i\000n\000g\000s\000\040\000\050\000S\000t\000r\000\051) endobj 125 0 obj -<< /S /GoTo /D (section.6.2) >> +<< /S /GoTo /D (section.6.1) >> endobj 128 0 obj -(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000S\000t\000r\000i\000n\000g\000s) 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-(\376\377\000M\000o\000d\000i\000f\000y\000i\000n\000g\000\040\000S\000t\000r\000i\000n\000g\000\040\000V\000a\000r\000i\000a\000b\000l\000e\000s) +(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000S\000t\000r\000i\000n\000g\000\040\000V\000a\000r\000i\000a\000b\000l\000e\000s) endobj 141 0 obj -<< /S /GoTo /D (section.6.6) >> +<< /S /GoTo /D (section.6.5) >> endobj 144 0 obj -(\376\377\000W\000o\000r\000k\000i\000n\000g\000\040\000w\000i\000t\000h\000\040\000t\000h\000e\000\040\000C\000o\000n\000t\000e\000n\000t\000\040\000o\000f\000\040\000S\000t\000r\000i\000n\000g\000s) +(\376\377\000M\000o\000d\000i\000f\000y\000i\000n\000g\000\040\000S\000t\000r\000i\000n\000g\000\040\000V\000a\000r\000i\000a\000b\000l\000e\000s) endobj 145 0 obj -<< /S /GoTo /D (section.6.7) >> +<< /S /GoTo /D (section.6.6) >> endobj 148 0 obj -(\376\377\000M\000a\000p\000p\000i\000n\000g\000\040\000o\000v\000e\000r\000\040\000S\000t\000r\000i\000n\000g\000s) +(\376\377\000W\000o\000r\000k\000i\000n\000g\000\040\000w\000i\000t\000h\000\040\000t\000h\000e\000\040\000C\000o\000n\000t\000e\000n\000t\000\040\000o\000f\000\040\000S\000t\000r\000i\000n\000g\000s) endobj 149 0 obj -<< /S /GoTo /D (section.6.8) >> +<< /S /GoTo /D (section.6.7) >> endobj 152 0 obj -(\376\377\000S\000t\000r\000i\000n\000g\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) +(\376\377\000M\000a\000p\000p\000i\000n\000g\000\040\000o\000v\000e\000r\000\040\000S\000t\000r\000i\000n\000g\000s) endobj 153 0 obj -<< /S /GoTo /D (section.6.9) >> +<< /S /GoTo /D (section.6.8) >> endobj 156 0 obj -(\376\377\000S\000t\000r\000i\000n\000g\000\040\000C\000a\000s\000e\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) +(\376\377\000S\000t\000r\000i\000n\000g\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) endobj 157 0 obj -<< /S /GoTo /D (chapter.7) >> +<< /S /GoTo /D (section.6.9) >> endobj 160 0 obj -(\376\377\000I\000n\000t\000e\000g\000e\000r\000s\000\040\000\050\000I\000n\000t\000\051) +(\376\377\000S\000t\000r\000i\000n\000g\000\040\000C\000a\000s\000e\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) endobj 161 0 obj -<< /S /GoTo /D (section.7.1) >> +<< /S /GoTo /D (chapter.7) >> endobj 164 0 obj -(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000I\000n\000t\000e\000g\000e\000r\000s) +(\376\377\000I\000n\000t\000e\000g\000e\000r\000s\000\040\000\050\000I\000n\000t\000\051) endobj 165 0 obj -<< /S /GoTo /D (section.7.2) >> +<< /S /GoTo /D (section.7.1) >> endobj 168 0 obj -(\376\377\000T\000h\000e\000\040\000S\000y\000n\000t\000a\000x\000\040\000o\000f\000\040\000I\000n\000t\000e\000g\000e\000r\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s) +(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000I\000n\000t\000e\000g\000e\000r\000s) endobj 169 0 obj -<< /S /GoTo /D (section.7.3) >> +<< /S /GoTo /D (section.7.2) >> endobj 172 0 obj -(\376\377\000U\000s\000i\000n\000g\000\040\000I\000n\000t\000e\000g\000e\000r\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s) +(\376\377\000T\000h\000e\000\040\000S\000y\000n\000t\000a\000x\000\040\000o\000f\000\040\000I\000n\000t\000e\000g\000e\000r\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s) endobj 173 0 obj -<< /S /GoTo /D (section.7.4) >> +<< /S /GoTo /D (section.7.3) >> endobj 176 0 obj -(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000I\000n\000t\000e\000g\000e\000r\000s) +(\376\377\000U\000s\000i\000n\000g\000\040\000I\000n\000t\000e\000g\000e\000r\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s) endobj 177 0 obj -<< /S /GoTo /D (section.7.5) >> +<< /S /GoTo /D (section.7.4) >> endobj 180 0 obj -(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000I\000n\000t\000e\000g\000e\000r\000s) +(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000I\000n\000t\000e\000g\000e\000r\000s) endobj 181 0 obj -<< /S /GoTo /D (section.7.6) >> +<< /S /GoTo /D (section.7.5) >> endobj 184 0 obj -(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000I\000n\000t\000e\000g\000e\000r\000\040\000V\000a\000r\000i\000a\000b\000l\000e\000s) +(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000I\000n\000t\000e\000g\000e\000r\000s) endobj 185 0 obj -<< /S /GoTo /D (section.7.7) >> +<< /S /GoTo /D (section.7.6) >> endobj 188 0 obj -(\376\377\000I\000n\000t\000e\000g\000e\000r\000\040\000S\000t\000e\000p\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) +(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000I\000n\000t\000e\000g\000e\000r\000\040\000V\000a\000r\000i\000a\000b\000l\000e\000s) endobj 189 0 obj -<< /S /GoTo /D (section.7.8) >> +<< /S /GoTo /D (section.7.7) >> endobj 192 0 obj -(\376\377\000I\000n\000t\000e\000g\000e\000r\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) +(\376\377\000I\000n\000t\000e\000g\000e\000r\000\040\000S\000t\000e\000p\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) endobj 193 0 obj -<< /S /GoTo /D (section.7.9) >> +<< /S /GoTo /D (section.7.8) >> endobj 196 0 obj -(\376\377\000I\000n\000t\000e\000g\000e\000r\000\040\000C\000a\000s\000e\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) +(\376\377\000I\000n\000t\000e\000g\000e\000r\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) endobj 197 0 obj -<< /S /GoTo /D (chapter.8) >> +<< /S /GoTo /D (section.7.9) >> endobj 200 0 obj -(\376\377\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000\040\000N\000u\000m\000b\000e\000r\000s\000\040\000\050\000F\000p\000\051) +(\376\377\000I\000n\000t\000e\000g\000e\000r\000\040\000C\000a\000s\000e\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) endobj 201 0 obj -<< /S /GoTo /D (section.8.1) >> +<< /S /GoTo /D (chapter.8) >> endobj 204 0 obj -(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000s) +(\376\377\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000\040\000N\000u\000m\000b\000e\000r\000s\000\040\000\050\000F\000p\000\051) endobj 205 0 obj -<< /S /GoTo /D (section.8.2) >> +<< /S /GoTo /D (section.8.1) >> endobj 208 0 obj -(\376\377\000T\000h\000e\000\040\000S\000y\000n\000t\000a\000x\000\040\000o\000f\000\040\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s) +(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000s) endobj 209 0 obj -<< /S /GoTo /D (section.8.3) >> +<< /S /GoTo /D (section.8.2) >> endobj 212 0 obj -(\376\377\000U\000s\000i\000n\000g\000\040\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s) +(\376\377\000T\000h\000e\000\040\000S\000y\000n\000t\000a\000x\000\040\000o\000f\000\040\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s) endobj 213 0 obj -<< /S /GoTo /D (section.8.4) >> +<< /S /GoTo /D (section.8.3) >> endobj 216 0 obj -(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000s) +(\376\377\000U\000s\000i\000n\000g\000\040\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s) endobj 217 0 obj -<< /S /GoTo /D (section.8.5) >> +<< /S /GoTo /D (section.8.4) >> endobj 220 0 obj -(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000s) +(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000s) endobj 221 0 obj -<< /S /GoTo /D (section.8.6) >> +<< /S /GoTo /D (section.8.5) >> endobj 224 0 obj -(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000\040\000V\000a\000r\000i\000a\000b\000l\000e\000s) +(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000s) endobj 225 0 obj -<< /S /GoTo /D (section.8.7) >> +<< /S /GoTo /D (section.8.6) >> endobj 228 0 obj -(\376\377\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000\040\000S\000t\000e\000p\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) +(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000\040\000V\000a\000r\000i\000a\000b\000l\000e\000s) endobj 229 0 obj -<< /S /GoTo /D (section.8.8) >> +<< /S /GoTo /D (section.8.7) >> endobj 232 0 obj -(\376\377\000F\000l\000o\000a\000t\000\040\000P\000o\000i\000n\000t\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) +(\376\377\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000\040\000S\000t\000e\000p\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) endobj 233 0 obj -<< /S /GoTo /D (chapter.9) >> +<< /S /GoTo /D (section.8.8) >> endobj 236 0 obj -(\376\377\000D\000i\000m\000e\000n\000s\000i\000o\000n\000s\000\040\000\050\000D\000i\000m\000\051) +(\376\377\000F\000l\000o\000a\000t\000\040\000P\000o\000i\000n\000t\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) endobj 237 0 obj -<< /S /GoTo /D (section.9.1) >> +<< /S /GoTo /D (chapter.9) >> endobj 240 0 obj -(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000D\000i\000m\000e\000n\000s\000i\000o\000n\000s) +(\376\377\000D\000i\000m\000e\000n\000s\000i\000o\000n\000s\000\040\000\050\000D\000i\000m\000\051) endobj 241 0 obj -<< /S /GoTo /D (section.9.2) >> +<< /S /GoTo /D (section.9.1) >> endobj 244 0 obj -(\376\377\000D\000i\000m\000e\000n\000s\000i\000o\000n\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s) +(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000D\000i\000m\000e\000n\000s\000i\000o\000n\000s) endobj 245 0 obj -<< /S /GoTo /D (section.9.3) >> +<< /S /GoTo /D (section.9.2) >> endobj 248 0 obj -(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000D\000i\000m\000e\000n\000s\000i\000o\000n\000s) +(\376\377\000D\000i\000m\000e\000n\000s\000i\000o\000n\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s) endobj 249 0 obj -<< /S /GoTo /D (section.9.4) >> +<< /S /GoTo /D (section.9.3) >> endobj 252 0 obj -(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000D\000i\000m\000e\000n\000s\000i\000o\000n\000s) +(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000D\000i\000m\000e\000n\000s\000i\000o\000n\000s) endobj 253 0 obj -<< /S /GoTo /D (section.9.5) >> +<< /S /GoTo /D (section.9.4) >> endobj 256 0 obj -(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000D\000i\000m\000e\000n\000s\000i\000o\000n\000\040\000V\000a\000r\000i\000a\000b\000l\000e\000s) +(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000D\000i\000m\000e\000n\000s\000i\000o\000n\000s) endobj 257 0 obj -<< /S /GoTo /D (section.9.6) >> +<< /S /GoTo /D (section.9.5) >> endobj 260 0 obj -(\376\377\000D\000i\000m\000e\000n\000s\000i\000o\000n\000\040\000S\000t\000e\000p\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) +(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000D\000i\000m\000e\000n\000s\000i\000o\000n\000\040\000V\000a\000r\000i\000a\000b\000l\000e\000s) endobj 261 0 obj -<< /S /GoTo /D (section.9.7) >> +<< /S /GoTo /D (section.9.6) >> endobj 264 0 obj -(\376\377\000D\000i\000m\000e\000n\000s\000i\000o\000n\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) +(\376\377\000D\000i\000m\000e\000n\000s\000i\000o\000n\000\040\000S\000t\000e\000p\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) endobj 265 0 obj -<< /S /GoTo /D (section.9.8) >> +<< /S /GoTo /D (section.9.7) >> endobj 268 0 obj -(\376\377\000D\000i\000m\000e\000n\000s\000i\000o\000n\000\040\000C\000a\000s\000e\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) +(\376\377\000D\000i\000m\000e\000n\000s\000i\000o\000n\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) endobj 269 0 obj -<< /S /GoTo /D (chapter.10) >> +<< /S /GoTo /D (section.9.8) >> endobj 272 0 obj -(\376\377\000C\000o\000m\000m\000a\000\040\000S\000e\000p\000a\000r\000a\000t\000e\000d\000\040\000L\000i\000s\000t\000s\000\040\000\050\000C\000l\000i\000s\000t\000\051) +(\376\377\000D\000i\000m\000e\000n\000s\000i\000o\000n\000\040\000C\000a\000s\000e\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) endobj 273 0 obj -<< /S /GoTo /D (section.10.1) >> +<< /S /GoTo /D (chapter.10) >> endobj 276 0 obj -(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s) +(\376\377\000C\000o\000m\000m\000a\000\040\000S\000e\000p\000a\000r\000a\000t\000e\000d\000\040\000L\000i\000s\000t\000s\000\040\000\050\000C\000l\000i\000s\000t\000\051) endobj 277 0 obj -<< /S /GoTo /D (section.10.2) >> +<< /S /GoTo /D (section.10.1) >> endobj 280 0 obj -(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s) +(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s) endobj 281 0 obj -<< /S /GoTo /D (section.10.3) >> +<< /S /GoTo /D (section.10.2) >> endobj 284 0 obj -(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s) +(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s) endobj 285 0 obj -<< /S /GoTo /D (section.10.4) >> +<< /S /GoTo /D (section.10.3) >> endobj 288 0 obj -(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s) +(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s) endobj 289 0 obj -<< /S /GoTo /D (section.10.5) >> +<< /S /GoTo /D (section.10.4) >> endobj 292 0 obj -(\376\377\000M\000o\000d\000i\000f\000y\000i\000n\000g\000\040\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s) +(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s) endobj 293 0 obj -<< /S /GoTo /D (section.10.6) >> +<< /S /GoTo /D (section.10.5) >> endobj 296 0 obj -(\376\377\000W\000o\000r\000k\000i\000n\000g\000\040\000w\000i\000t\000h\000\040\000t\000h\000e\000\040\000C\000o\000n\000t\000e\000n\000t\000s\000\040\000o\000f\000\040\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s) +(\376\377\000M\000o\000d\000i\000f\000y\000i\000n\000g\000\040\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s) endobj 297 0 obj -<< /S /GoTo /D (section.10.7) >> +<< /S /GoTo /D (section.10.6) >> endobj 300 0 obj -(\376\377\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s\000\040\000a\000s\000\040\000S\000t\000a\000c\000k\000s) +(\376\377\000W\000o\000r\000k\000i\000n\000g\000\040\000w\000i\000t\000h\000\040\000t\000h\000e\000\040\000C\000o\000n\000t\000e\000n\000t\000s\000\040\000o\000f\000\040\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s) endobj 301 0 obj -<< /S /GoTo /D (section.10.8) >> +<< /S /GoTo /D (section.10.7) >> endobj 304 0 obj -(\376\377\000M\000a\000p\000p\000i\000n\000g\000\040\000o\000v\000e\000r\000\040\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s) +(\376\377\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s\000\040\000a\000s\000\040\000S\000t\000a\000c\000k\000s) endobj 305 0 obj -<< /S /GoTo /D (section.10.9) >> +<< /S /GoTo /D (section.10.8) >> endobj 308 0 obj -(\376\377\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) +(\376\377\000M\000a\000p\000p\000i\000n\000g\000\040\000o\000v\000e\000r\000\040\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000s) endobj 309 0 obj -<< /S /GoTo /D (chapter.11) >> +<< /S /GoTo /D (section.10.9) >> endobj 312 0 obj -(\376\377\000S\000e\000q\000u\000e\000n\000c\000e\000s\000\040\000a\000n\000d\000\040\000S\000t\000a\000c\000k\000s\000\040\000\050\000S\000e\000q\000\051) +(\376\377\000C\000o\000m\000m\000a\000\040\000L\000i\000s\000t\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) endobj 313 0 obj -<< /S /GoTo /D (section.11.1) >> +<< /S /GoTo /D (chapter.11) >> endobj 316 0 obj -(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) +(\376\377\000S\000e\000q\000u\000e\000n\000c\000e\000s\000\040\000a\000n\000d\000\040\000S\000t\000a\000c\000k\000s\000\040\000\050\000S\000e\000q\000\051) endobj 317 0 obj -<< /S /GoTo /D (section.11.2) >> +<< /S /GoTo /D (section.11.1) >> endobj 320 0 obj -(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) +(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) endobj 321 0 obj -<< /S /GoTo /D (section.11.3) >> +<< /S /GoTo /D (section.11.2) >> endobj 324 0 obj -(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) +(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) endobj 325 0 obj -<< /S /GoTo /D (section.11.4) >> +<< /S /GoTo /D (section.11.3) >> endobj 328 0 obj -(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) +(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) endobj 329 0 obj -<< /S /GoTo /D (section.11.5) >> +<< /S /GoTo /D (section.11.4) >> endobj 332 0 obj -(\376\377\000M\000o\000d\000i\000f\000y\000i\000n\000g\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) +(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) endobj 333 0 obj -<< /S /GoTo /D (section.11.6) >> +<< /S /GoTo /D (section.11.5) >> endobj 336 0 obj -(\376\377\000W\000o\000r\000k\000i\000n\000g\000\040\000w\000i\000t\000h\000\040\000t\000h\000e\000\040\000C\000o\000n\000t\000e\000n\000t\000s\000\040\000o\000f\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) +(\376\377\000M\000o\000d\000i\000f\000y\000i\000n\000g\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) endobj 337 0 obj -<< /S /GoTo /D (section.11.7) >> +<< /S /GoTo /D (section.11.6) >> endobj 340 0 obj -(\376\377\000S\000e\000q\000u\000e\000n\000c\000e\000s\000\040\000a\000s\000\040\000S\000t\000a\000c\000k\000s) +(\376\377\000W\000o\000r\000k\000i\000n\000g\000\040\000w\000i\000t\000h\000\040\000t\000h\000e\000\040\000C\000o\000n\000t\000e\000n\000t\000s\000\040\000o\000f\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) endobj 341 0 obj -<< /S /GoTo /D (section.11.8) >> +<< /S /GoTo /D (section.11.7) >> endobj 344 0 obj -(\376\377\000R\000e\000c\000o\000v\000e\000r\000i\000n\000g\000\040\000I\000t\000e\000m\000s\000\040\000f\000r\000o\000m\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) +(\376\377\000S\000e\000q\000u\000e\000n\000c\000e\000s\000\040\000a\000s\000\040\000S\000t\000a\000c\000k\000s) endobj 345 0 obj -<< /S /GoTo /D (section.11.9) >> +<< /S /GoTo /D (section.11.8) >> endobj 348 0 obj -(\376\377\000M\000a\000p\000p\000i\000n\000g\000\040\000o\000v\000e\000r\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) +(\376\377\000R\000e\000c\000o\000v\000e\000r\000i\000n\000g\000\040\000I\000t\000e\000m\000s\000\040\000f\000r\000o\000m\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) endobj 349 0 obj -<< /S /GoTo /D (section.11.10) >> +<< /S /GoTo /D (section.11.9) >> endobj 352 0 obj -(\376\377\000S\000e\000q\000u\000e\000n\000c\000e\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) +(\376\377\000M\000a\000p\000p\000i\000n\000g\000\040\000o\000v\000e\000r\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) endobj 353 0 obj -<< /S /GoTo /D (chapter.12) >> +<< /S /GoTo /D (section.11.10) >> endobj 356 0 obj -(\376\377\000P\000r\000o\000p\000e\000r\000t\000y\000\040\000L\000i\000s\000t\000s\000\040\000\050\000P\000r\000o\000p\000\051) +(\376\377\000S\000e\000q\000u\000e\000n\000c\000e\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) endobj 357 0 obj -<< /S /GoTo /D (section.12.1) >> +<< /S /GoTo /D (chapter.12) >> endobj 360 0 obj -(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) +(\376\377\000P\000r\000o\000p\000e\000r\000t\000y\000\040\000L\000i\000s\000t\000s\000\040\000\050\000P\000r\000o\000p\000\051) endobj 361 0 obj -<< /S /GoTo /D (section.12.2) >> +<< /S /GoTo /D (section.12.1) >> endobj 364 0 obj -(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000P\000r\000o\000p\000e\000r\000t\000y\000\040\000L\000i\000s\000t\000s) +(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000a\000n\000d\000\040\000S\000c\000r\000a\000t\000c\000h\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s) endobj 365 0 obj -<< /S /GoTo /D (section.12.3) >> +<< /S /GoTo /D (section.12.2) >> endobj 368 0 obj -(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000P\000r\000o\000p\000e\000r\000t\000y\000\040\000L\000i\000s\000t\000s) +(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000a\000n\000d\000\040\000U\000s\000i\000n\000g\000\040\000P\000r\000o\000p\000e\000r\000t\000y\000\040\000L\000i\000s\000t\000s) endobj 369 0 obj -<< /S /GoTo /D (section.12.4) >> +<< /S /GoTo /D (section.12.3) >> endobj 372 0 obj -(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000P\000r\000o\000p\000e\000r\000t\000y\000\040\000L\000i\000s\000t\000s) +(\376\377\000V\000i\000e\000w\000i\000n\000g\000\040\000P\000r\000o\000p\000e\000r\000t\000y\000\040\000L\000i\000s\000t\000s) endobj 373 0 obj -<< /S /GoTo /D (section.12.5) >> +<< /S /GoTo /D (section.12.4) >> endobj 376 0 obj -(\376\377\000R\000e\000c\000o\000v\000e\000r\000i\000n\000g\000\040\000V\000a\000l\000u\000e\000s\000\040\000f\000r\000o\000m\000\040\000P\000r\000o\000p\000e\000r\000t\000y\000\040\000L\000i\000s\000t\000s) +(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000P\000r\000o\000p\000e\000r\000t\000y\000\040\000L\000i\000s\000t\000s) endobj 377 0 obj -<< /S /GoTo /D (section.12.6) >> +<< /S /GoTo /D (section.12.5) >> endobj 380 0 obj -(\376\377\000M\000a\000p\000p\000i\000n\000g\000\040\000o\000v\000e\000r\000\040\000p\000r\000o\000p\000e\000r\000t\000y\000\040\000l\000i\000s\000t\000s) +(\376\377\000R\000e\000c\000o\000v\000e\000r\000i\000n\000g\000\040\000V\000a\000l\000u\000e\000s\000\040\000f\000r\000o\000m\000\040\000P\000r\000o\000p\000e\000r\000t\000y\000\040\000L\000i\000s\000t\000s) endobj 381 0 obj -<< /S /GoTo /D (section.12.7) >> +<< /S /GoTo /D (section.12.6) >> endobj 384 0 obj -(\376\377\000P\000r\000o\000p\000e\000r\000t\000y\000\040\000L\000i\000s\000t\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) +(\376\377\000M\000a\000p\000p\000i\000n\000g\000\040\000o\000v\000e\000r\000\040\000p\000r\000o\000p\000e\000r\000t\000y\000\040\000l\000i\000s\000t\000s) endobj 385 0 obj -<< /S /GoTo /D (chapter.13) >> +<< /S /GoTo /D (section.12.7) >> endobj 388 0 obj -(\376\377\000T\000o\000k\000e\000n\000\040\000M\000a\000n\000i\000p\000u\000l\000a\000t\000i\000o\000n\000\040\000\050\000T\000o\000k\000e\000n\000\051) +(\376\377\000P\000r\000o\000p\000e\000r\000t\000y\000\040\000L\000i\000s\000t\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) endobj 389 0 obj -<< /S /GoTo /D (chapter.14) >> +<< /S /GoTo /D (chapter.13) >> endobj 392 0 obj -(\376\377\000T\000e\000x\000t\000\040\000P\000r\000o\000c\000e\000s\000s\000i\000n\000g\000\040\000\050\000T\000e\000x\000t\000\051) +(\376\377\000R\000e\000g\000u\000l\000a\000r\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s\000\040\000\050\000R\000e\000g\000e\000x\000\051) endobj 393 0 obj -<< /S /GoTo /D (section.14.1) >> +<< /S /GoTo /D (section.13.1) >> endobj 396 0 obj -(\376\377\000C\000a\000s\000e\000\040\000C\000h\000a\000n\000g\000i\000n\000g) +(\376\377\000R\000e\000g\000u\000l\000a\000r\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000\040\000V\000a\000r\000i\000a\000b\000l\000e\000s) endobj 397 0 obj -<< /S /GoTo /D (chapter.15) >> +<< /S /GoTo /D (section.13.2) >> endobj 400 0 obj -(\376\377\000F\000i\000l\000e\000s\000\040\000\050\000F\000i\000l\000e\000\051) +(\376\377\000R\000e\000g\000u\000l\000a\000r\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000\040\000M\000a\000t\000c\000h\000i\000n\000g) endobj 401 0 obj -<< /S /GoTo /D (section.15.1) >> +<< /S /GoTo /D (section.13.3) >> endobj 404 0 obj -(\376\377\000F\000i\000l\000e\000\040\000O\000p\000e\000r\000a\000t\000i\000o\000n\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) +(\376\377\000R\000e\000g\000u\000l\000a\000r\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000\040\000S\000u\000b\000m\000a\000t\000c\000h\000\040\000E\000x\000t\000r\000a\000c\000t\000i\000o\000n) endobj 405 0 obj -<< /S /GoTo /D (chapter.16) >> +<< /S /GoTo /D (section.13.4) >> endobj 408 0 obj -(\376\377\000Q\000u\000a\000r\000k\000s\000\040\000\050\000Q\000u\000a\000r\000k\000\051) +(\376\377\000R\000e\000g\000u\000l\000a\000r\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000\040\000R\000e\000p\000l\000a\000c\000e\000m\000e\000n\000t) endobj 409 0 obj -<< /S /GoTo /D (section.16.1) >> +<< /S /GoTo /D (section.13.5) >> endobj 412 0 obj -(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000Q\000u\000a\000r\000k\000s) +(\376\377\000S\000y\000n\000t\000a\000x\000\040\000o\000f\000\040\000R\000e\000g\000u\000l\000a\000r\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s) endobj 413 0 obj -<< /S /GoTo /D (section.16.2) >> +<< /S /GoTo /D (subsection.13.5.1) >> endobj 416 0 obj -(\376\377\000Q\000u\000a\000r\000k\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) +(\376\377\000R\000e\000g\000u\000l\000a\000r\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000\040\000E\000x\000a\000m\000p\000l\000e\000s) endobj 417 0 obj -<< /S /GoTo /D (chapter.17) >> +<< /S /GoTo /D (subsection.13.5.2) >> endobj 420 0 obj -(\376\377\000L\000e\000g\000a\000c\000y\000\040\000C\000o\000n\000c\000e\000p\000t\000s\000\040\000\050\000L\000e\000g\000a\000c\000y\000\051) +(\376\377\000C\000h\000a\000r\000a\000c\000t\000e\000r\000s\000\040\000i\000n\000\040\000R\000e\000g\000u\000l\000a\000r\000\040\000E\000x\000p\000r\000e\000s\000s\000i\000o\000n\000s) endobj 421 0 obj -<< /S /GoTo /D (chapter.18) >> +<< /S /GoTo /D (subsection.13.5.3) >> endobj 424 0 obj -(\376\377\000T\000h\000e\000\040\000S\000o\000u\000r\000c\000e\000\040\000C\000o\000d\000e) +(\376\377\000C\000h\000a\000r\000a\000c\000t\000e\000r\000s\000\040\000C\000l\000a\000s\000s\000e\000s) endobj 425 0 obj -<< /S /GoTo /D (section.18.1) >> +<< /S /GoTo /D (subsection.13.5.4) >> endobj 428 0 obj -(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000a\000l\000\040\000P\000r\000o\000g\000r\000a\000m\000m\000i\000n\000g\000\040\000\050\000P\000r\000g\000\051) +(\376\377\000S\000t\000r\000u\000c\000t\000u\000r\000e\000:\000\040\000A\000l\000t\000e\000r\000n\000a\000t\000i\000v\000e\000s\000,\000\040\000G\000r\000o\000u\000p\000s\000,\000\040\000R\000e\000p\000e\000t\000i\000t\000i\000o\000n\000s) endobj 429 0 obj -<< /S /GoTo /D (subsection.18.1.1) >> +<< /S /GoTo /D (subsection.13.5.5) >> endobj 432 0 obj -(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000N\000e\000w\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s\000\040\000a\000n\000d\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) +(\376\377\000M\000a\000t\000c\000h\000i\000n\000g\000\040\000E\000x\000a\000c\000t\000\040\000T\000o\000k\000e\000n\000s) endobj 433 0 obj -<< /S /GoTo /D (subsection.18.1.2) >> +<< /S /GoTo /D (subsection.13.5.6) >> endobj 436 0 obj -(\376\377\000R\000e\000t\000u\000r\000n\000\040\000V\000a\000l\000u\000e\000s\000\040\000a\000n\000d\000\040\000R\000e\000t\000u\000r\000n\000\040\000P\000r\000o\000c\000e\000s\000s\000o\000r\000s) +(\376\377\000M\000i\000s\000c\000e\000l\000l\000a\000n\000e\000o\000u\000s) endobj 437 0 obj -<< /S /GoTo /D (subsection.18.1.3) >> +<< /S /GoTo /D (section.13.6) >> endobj 440 0 obj -(\376\377\000E\000v\000a\000l\000u\000a\000t\000i\000n\000g\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s\000\040\000i\000n\000s\000i\000d\000e\000\040\000A\000r\000g\000u\000m\000e\000n\000t\000s) +(\376\377\000S\000y\000n\000t\000a\000x\000\040\000o\000f\000\040\000t\000h\000e\000\040\000R\000e\000p\000l\000a\000c\000e\000m\000e\000n\000t\000\040\000T\000e\000x\000t) endobj 441 0 obj -<< /S /GoTo /D (subsection.18.1.4) >> +<< /S /GoTo /D (chapter.14) >> endobj 444 0 obj -(\376\377\000C\000h\000e\000c\000k\000i\000n\000g\000\040\000f\000o\000r\000\040\000L\000o\000c\000a\000l\000\040\000o\000r\000\040\000G\000l\000o\000b\000a\000l\000\040\000V\000a\000r\000i\000a\000b\000l\000e\000s) +(\376\377\000T\000o\000k\000e\000n\000\040\000M\000a\000n\000i\000p\000u\000l\000a\000t\000i\000o\000n\000\040\000\050\000T\000o\000k\000e\000n\000\051) endobj 445 0 obj -<< /S /GoTo /D (subsection.18.1.5) >> +<< /S /GoTo /D (chapter.15) >> endobj 448 0 obj -(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000a\000l\000\040\000P\000a\000c\000k\000a\000g\000e) +(\376\377\000T\000e\000x\000t\000\040\000P\000r\000o\000c\000e\000s\000s\000i\000n\000g\000\040\000\050\000T\000e\000x\000t\000\051) endobj 449 0 obj -<< /S /GoTo /D (section.18.2) >> +<< /S /GoTo /D (section.15.1) >> endobj 452 0 obj -(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000A\000r\000g\000u\000m\000e\000n\000t\000\040\000U\000s\000i\000n\000g\000\040\000\050\000U\000s\000e\000\051) +(\376\377\000C\000a\000s\000e\000\040\000C\000h\000a\000n\000g\000i\000n\000g) endobj 453 0 obj -<< /S /GoTo /D (section.18.3) >> +<< /S /GoTo /D (chapter.16) >> endobj 456 0 obj -(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000C\000o\000n\000t\000r\000o\000l\000\040\000S\000t\000r\000u\000c\000t\000u\000r\000e\000s\000\040\000\050\000B\000o\000o\000l\000\051) +(\376\377\000F\000i\000l\000e\000s\000\040\000\050\000F\000i\000l\000e\000\051) endobj 457 0 obj -<< /S /GoTo /D (section.18.4) >> +<< /S /GoTo /D (section.16.1) >> endobj 460 0 obj -(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000T\000o\000k\000e\000n\000\040\000L\000i\000s\000t\000s\000\040\000\050\000T\000l\000\051) +(\376\377\000F\000i\000l\000e\000\040\000O\000p\000e\000r\000a\000t\000i\000o\000n\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) endobj 461 0 obj -<< /S /GoTo /D (section.18.5) >> +<< /S /GoTo /D (chapter.17) >> endobj 464 0 obj -(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000S\000t\000r\000i\000n\000g\000s\000\040\000\050\000S\000t\000r\000\051) +(\376\377\000Q\000u\000a\000r\000k\000s\000\040\000\050\000Q\000u\000a\000r\000k\000\051) endobj 465 0 obj -<< /S /GoTo /D (section.18.6) >> +<< /S /GoTo /D (section.17.1) >> endobj 468 0 obj -(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000I\000n\000t\000e\000g\000e\000r\000s\000\040\000\050\000I\000n\000t\000\051) +(\376\377\000C\000o\000n\000s\000t\000a\000n\000t\000\040\000Q\000u\000a\000r\000k\000s) endobj 469 0 obj -<< /S /GoTo /D (section.18.7) >> +<< /S /GoTo /D (section.17.2) >> endobj 472 0 obj -(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000F\000l\000o\000a\000t\000i\000n\000g\000\040\000P\000o\000i\000n\000t\000\040\000N\000u\000m\000b\000e\000r\000s\000\040\000\050\000F\000p\000\051) +(\376\377\000Q\000u\000a\000r\000k\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) endobj 473 0 obj -<< /S /GoTo /D (section.18.8) >> +<< /S /GoTo /D (chapter.18) >> endobj 476 0 obj -(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000D\000i\000m\000e\000n\000s\000i\000o\000n\000s\000\040\000\050\000D\000i\000m\000\051) +(\376\377\000L\000e\000g\000a\000c\000y\000\040\000C\000o\000n\000c\000e\000p\000t\000s\000\040\000\050\000L\000e\000g\000a\000c\000y\000\051) endobj 477 0 obj -<< /S /GoTo /D (section.18.9) >> +<< /S /GoTo /D (chapter.19) >> endobj 480 0 obj -(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000S\000o\000r\000t\000i\000n\000g\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s\000\040\000\050\000S\000o\000r\000t\000\051) +(\376\377\000T\000h\000e\000\040\000S\000o\000u\000r\000c\000e\000\040\000C\000o\000d\000e) endobj 481 0 obj -<< /S /GoTo /D (section.18.10) >> +<< /S /GoTo /D (section.19.1) >> endobj 484 0 obj -(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000C\000o\000m\000m\000a\000\040\000S\000e\000p\000a\000r\000a\000t\000e\000d\000\040\000L\000i\000s\000t\000s\000\040\000\050\000C\000l\000i\000s\000t\000\051) +(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000a\000l\000\040\000P\000r\000o\000g\000r\000a\000m\000m\000i\000n\000g\000\040\000\050\000P\000r\000g\000\051) endobj 485 0 obj -<< /S /GoTo /D (section.18.11) >> +<< /S /GoTo /D (subsection.19.1.1) >> endobj 488 0 obj -(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000S\000e\000q\000u\000e\000n\000c\000e\000s\000\040\000a\000n\000d\000\040\000S\000t\000a\000c\000k\000s\000\040\000\050\000S\000e\000q\000\051) +(\376\377\000S\000e\000t\000t\000i\000n\000g\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000a\000l\000\040\000P\000a\000c\000k\000a\000g\000e) endobj 489 0 obj -<< /S /GoTo /D (section.18.12) >> +<< /S /GoTo /D (subsection.19.1.2) >> endobj 492 0 obj -(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000P\000r\000o\000p\000e\000r\000t\000y\000\040\000L\000i\000s\000t\000s\000\040\000\050\000P\000r\000o\000p\000\051) +(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000N\000e\000w\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s\000\040\000a\000n\000d\000\040\000C\000o\000n\000d\000i\000t\000i\000o\000n\000a\000l\000s) endobj 493 0 obj -<< /S /GoTo /D (section.18.13) >> +<< /S /GoTo /D (subsection.19.1.3) >> endobj 496 0 obj -(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000T\000o\000k\000e\000n\000\040\000M\000a\000n\000i\000p\000u\000l\000a\000t\000i\000o\000n\000\040\000\050\000T\000o\000k\000e\000n\000\051) +(\376\377\000C\000r\000e\000a\000t\000i\000n\000g\000\040\000S\000o\000m\000e\000\040\000U\000s\000e\000f\000u\000l\000\040\000F\000u\000n\000c\000t\000i\000o\000n\000s) endobj 497 0 obj -<< /S /GoTo /D (section.18.14) >> +<< /S /GoTo /D (subsection.19.1.4) >> endobj 500 0 obj -(\376\377\000I\000n\000t\000e\000r\000f\000a\000c\000e\000s\000\040\000f\000o\000r\000\040\000T\000e\000x\000t\000\040\000P\000r\000o\000c\000e\000s\000s\000i\000n\000g\000\040\000\050\000T\000e\000x\000t\000\051) 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b/macros/latex/contrib/functional/functional.sty index a7d97ebfb1..ab012e196d 100644 --- a/macros/latex/contrib/functional/functional.sty +++ b/macros/latex/contrib/functional/functional.sty @@ -1,6 +1,6 @@ %%% -*- coding: utf-8 -*- %% ---------------------------------------------------------------------------- -%% Functional: LaTeX2 functional interfaces for LaTeX3 programming layer +%% Functional: Intuitive Functional Programming Interface for LaTeX2 %% Copyright : 2022 (c) Jianrui Lyu %% Repository: https://github.com/lvjr/functional %% Repository: https://bitbucket.org/lvjr/functional @@ -14,8 +14,8 @@ \NeedsTeXFormat{LaTeX2e}[2018-04-01] \RequirePackage{expl3} -\ProvidesExplPackage{functional}{2022-04-29}{2022E} - {^^JLaTeX2 functional interfaces for LaTeX3 programming layer} +\ProvidesExplPackage{functional}{2022-05-14}{2022F} + {^^JIntuitive Functional Programming Interface for LaTeX2} \cs_generate_variant:Nn \iow_log:n { V } \cs_generate_variant:Nn \str_set:Nn { Ne } @@ -33,6 +33,84 @@ \cs_set_eq:NN \IgnoreSpacesOn \__fun_ignore_spaces_on: \cs_set_eq:NN \IgnoreSpacesOff \ExplSyntaxOff +%%% -------------------------------------------------------- +%%> \subsection{Setting Functional Package} +%%% -------------------------------------------------------- + +\bool_new:N \l__fun_scoping_bool + +\cs_new_protected:Npn \__fun_scoping_true: + { + \cs_set_eq:NN \__fun_group_begin: \group_begin: + \cs_set_eq:NN \__fun_group_end: \group_end: + } + +\cs_new_protected:Npn \__fun_scoping_false: + { + \cs_set_eq:NN \__fun_group_begin: \scan_stop: + \cs_set_eq:NN \__fun_group_end: \scan_stop: + } + +\cs_new_protected:Npn \__fun_scoping_set: + { + \bool_if:NTF \l__fun_scoping_bool + { \__fun_scoping_true: } { \__fun_scoping_false: } + } + +\bool_new:N \l__fun_tracing_bool +\tl_new:N \l__tracing_text_tl + +\cs_new_protected:Npn \__fun_tracing_log_on:n #1 + { + \tl_set:Ne \l__tracing_text_tl + { + \prg_replicate:nn + { \int_eval:n { (\g__fun_nesting_level_int - 1) * 4 } } { ~ } + } + \tl_put_right:Nn \l__tracing_text_tl { #1 } + \iow_log:V \l__tracing_text_tl + } +\cs_generate_variant:Nn \__fun_tracing_log_on:n { e, V } + +\cs_new_protected:Npn \__fun_tracing_log_off:n #1 { } +\cs_new_protected:Npn \__fun_tracing_log_off:e #1 { } +\cs_new_protected:Npn \__fun_tracing_log_off:V #1 { } + +\cs_new_protected:Npn \__fun_tracing_true: + { + \cs_set_eq:NN \__fun_tracing_log:n \__fun_tracing_log_on:n + \cs_set_eq:NN \__fun_tracing_log:e \__fun_tracing_log_on:e + \cs_set_eq:NN \__fun_tracing_log:V \__fun_tracing_log_on:V + } + +\cs_new_protected:Npn \__fun_tracing_false: + { + \cs_set_eq:NN \__fun_tracing_log:n \__fun_tracing_log_off:n + \cs_set_eq:NN \__fun_tracing_log:e \__fun_tracing_log_off:e + \cs_set_eq:NN \__fun_tracing_log:V \__fun_tracing_log_off:V + } + +\cs_new_protected:Npn \__fun_tracing_set: + { + \bool_if:NTF \l__fun_tracing_bool + { \__fun_tracing_true: } { \__fun_tracing_false: } + } + +\keys_define:nn { functional } + { + scoping .bool_set:N = \l__fun_scoping_bool, + tracing .bool_set:N = \l__fun_tracing_bool, + } + +\NewDocumentCommand \Functional { m } + { + \keys_set:nn { functional } { #1 } + \__fun_scoping_set: + \__fun_tracing_set: + } + +\Functional { scoping = false, tracing = false } + %%% -------------------------------------------------------- %%> \subsection{Creating New Functions and Conditionals} %%% -------------------------------------------------------- @@ -495,6 +573,17 @@ } \cs_generate_variant:Nn \__fun_arguments_gput:n { e } +%%% -------------------------------------------------------- +%%> \subsection{Creating Some Useful Functions} +%%% -------------------------------------------------------- + +\PrgNewFunction \PrgSetEqFunction { N N } + { + \cs_set_eq:NN #1 #2 + \cs_set_eq:cc { __fun_defined_ \cs_to_str:N #1 : w } + { __fun_defined_ \cs_to_str:N #2 : w } + } + \cs_if_exist:NF \Do { \PrgNewFunction \Do { n } { #1 } } \PrgNewFunction \PrgDo { n } { #1 } @@ -519,6 +608,7 @@ \__fun_put_result:n { #1 } } %% Obsolete function, will be removed in the future +%% We can not define it with \PrgSetEqFunction \PrgNewFunction \Result { m } { \__fun_put_result:n { #1 } @@ -608,6 +698,54 @@ } } +%%% -------------------------------------------------------- +%%> \subsection{Printing Contents to the Input Stream} +%%% -------------------------------------------------------- + +\PrgNewFunction \PrgPrint { m } + { + \tl_log:n {running PrgPrint} + \int_set_eq:NN \l__fun_return_level_int \g__fun_nesting_level_int + #1 + \int_zero:N \l__fun_return_level_int + \tl_gclear:N \gResultTl + } + +\PrgSetEqFunction \Print \PrgPrint + +%%% -------------------------------------------------------- +%%> \subsection{Filling Arguments into Inline Commands} +%%% -------------------------------------------------------- + +%% To make better tracing log, we want to expand the return value once, +%% but at the same time avoid evaluating the leading function in \gResultTl, +%% therefore we need to use \tl_set:Nn command instead of \TlSet function. + +\PrgNewFunction \PrgRunOneArgCode { m n } + { + \cs_set:Npn \__fun_one_arg_cmd:n ##1 {#2} + \exp_args:NNo \tl_set:Nn \gResultTl { \__fun_one_arg_cmd:n {#1} } + } + +\PrgNewFunction \PrgRunTwoArgCode { m m n } + { + \cs_set:Npn \__fun_two_arg_cmd:nn ##1 ##2 {#3} + \exp_args:NNo \tl_set:Nn \gResultTl { \__fun_two_arg_cmd:nn {#1} {#2} } + } + +\PrgNewFunction \PrgRunThreeArgCode { m m m n } + { + \cs_set:Npn \__fun_three_arg_cmd:nnn ##1 ##2 ##3 {#4} + \exp_args:NNo \tl_set:Nn \gResultTl { \__fun_three_arg_cmd:nnn {#1} {#2} {#3} } + } + +\PrgNewFunction \PrgRunFourArgCode { m m m m n } + { + \cs_set:Npn \__fun_four_arg_cmd:nnnn ##1 ##2 ##3 ##4 {#5} + \exp_args:NNo \tl_set:Nn \gResultTl + { \__fun_four_arg_cmd:nnnn {#1} {#2} {#3} {#4} } + } + %%% -------------------------------------------------------- %%> \subsection{Checking for Local or Global Variables} %%% -------------------------------------------------------- @@ -659,84 +797,6 @@ \__fun_group_begin: } -%%% -------------------------------------------------------- -%%> \subsection{Setting Functional Package} -%%% -------------------------------------------------------- - -\bool_new:N \l__fun_scoping_bool - -\cs_new_protected:Npn \__fun_scoping_true: - { - \cs_set_eq:NN \__fun_group_begin: \group_begin: - \cs_set_eq:NN \__fun_group_end: \group_end: - } - -\cs_new_protected:Npn \__fun_scoping_false: - { - \cs_set_eq:NN \__fun_group_begin: \scan_stop: - \cs_set_eq:NN \__fun_group_end: \scan_stop: - } - -\cs_new_protected:Npn \__fun_scoping_set: - { - \bool_if:NTF \l__fun_scoping_bool - { \__fun_scoping_true: } { \__fun_scoping_false: } - } - -\bool_new:N \l__fun_tracing_bool -\tl_new:N \l__tracing_text_tl - -\cs_new_protected:Npn \__fun_tracing_log_on:n #1 - { - \tl_set:Ne \l__tracing_text_tl - { - \prg_replicate:nn - { \int_eval:n { (\g__fun_nesting_level_int - 1) * 4 } } { ~ } - } - \tl_put_right:Nn \l__tracing_text_tl { #1 } - \iow_log:V \l__tracing_text_tl - } -\cs_generate_variant:Nn \__fun_tracing_log_on:n { e, V } - -\cs_new_protected:Npn \__fun_tracing_log_off:n #1 { } -\cs_new_protected:Npn \__fun_tracing_log_off:e #1 { } -\cs_new_protected:Npn \__fun_tracing_log_off:V #1 { } - -\cs_new_protected:Npn \__fun_tracing_true: - { - \cs_set_eq:NN \__fun_tracing_log:n \__fun_tracing_log_on:n - \cs_set_eq:NN \__fun_tracing_log:e \__fun_tracing_log_on:e - \cs_set_eq:NN \__fun_tracing_log:V \__fun_tracing_log_on:V - } - -\cs_new_protected:Npn \__fun_tracing_false: - { - \cs_set_eq:NN \__fun_tracing_log:n \__fun_tracing_log_off:n - \cs_set_eq:NN \__fun_tracing_log:e \__fun_tracing_log_off:e - \cs_set_eq:NN \__fun_tracing_log:V \__fun_tracing_log_off:V - } - -\cs_new_protected:Npn \__fun_tracing_set: - { - \bool_if:NTF \l__fun_tracing_bool - { \__fun_tracing_true: } { \__fun_tracing_false: } - } - -\keys_define:nn { functional } - { - scoping .bool_set:N = \l__fun_scoping_bool, - tracing .bool_set:N = \l__fun_tracing_bool, - } - -\NewDocumentCommand \Functional { m } - { - \keys_set:nn { functional } { #1 } - \__fun_scoping_set: - \__fun_tracing_set: - } - -\Functional { scoping = false, tracing = false } - %%% -------------------------------------------------------- %%> \section{Interfaces for Argument Using (Use)} %%% -------------------------------------------------------- @@ -745,28 +805,19 @@ { \exp_args:Nc \__fun_put_result:n { #1 } } -\PrgNewFunction \ExpName { m } - { - \exp_args:Nc \__fun_put_result:n { #1 } - } +\PrgSetEqFunction \ExpName \Name \PrgNewFunction \Value { M } { \__fun_put_result:V #1 } -\PrgNewFunction \ExpValue { M } - { - \__fun_put_result:V #1 - } +\PrgSetEqFunction \ExpValue \Value \PrgNewFunction \Expand { m } { \__fun_put_result:e { #1 } } -\PrgNewFunction \ExpWhole { m } - { - \__fun_put_result:e { #1 } - } +\PrgSetEqFunction \ExpWhole \Expand \PrgNewFunction \ExpPartial { m } { @@ -2275,6 +2326,281 @@ { \Return { \cTrueBool } } { \Return { \cFalseBool } } } +%%% -------------------------------------------------------- +%%> \section{Interfaces for Regular Expressions (Regex)} +%%% -------------------------------------------------------- + +\regex_new:N \lTmpaRegex \regex_new:N \lTmpbRegex \regex_new:N \lTmpcRegex +\regex_new:N \lTmpiRegex \regex_new:N \lTmpjRegex \regex_new:N \lTmpkRegex + +\regex_new:N \gTmpaRegex \regex_new:N \gTmpbRegex \regex_new:N \gTmpcRegex +\regex_new:N \gTmpiRegex \regex_new:N \gTmpjRegex \regex_new:N \gTmpkRegex + +\regex_new:N \l@FunTmpxRegex \regex_new:N \g@FunTmpxRegex +\regex_new:N \l@FunTmpyRegex \regex_new:N \g@FunTmpyRegex +\regex_new:N \l@FunTmpzRegex \regex_new:N \g@FunTmpzRegex + +\PrgNewFunction \RegexNew { M } { \regex_new:N #1 } + +\PrgNewFunction \RegexSet { M m } + { + \__fun_do_assignment:Nnn #1 + { \regex_gset:Nn #1 {#2} } { \regex_set:Nn #1 {#2} } + } + +\PrgNewFunction \RegexConst { M m } { \regex_const:Nn #1 {#2} } + +\PrgNewFunction \RegexLog { m } { \regex_log:n {#1} } + +\PrgNewFunction \RegexVarLog { M } { \regex_log:N #1 } + +\PrgNewFunction \RegexShow { m } { \regex_show:n {#1} } + +\PrgNewFunction \RegexVarShow { M } { \regex_show:N #1 } + +\PrgNewConditional \RegexMatch { m m } + { + \regex_match:nnTF {#1} {#2} + { \Return { \cTrueBool } } { \Return { \cFalseBool } } + } + +\PrgNewConditional \RegexVarMatch { M m } + { + \regex_match:NnTF #1 {#2} + { \Return { \cTrueBool } } { \Return { \cFalseBool } } + } + +\PrgNewFunction \RegexCount { m m M } + { + \regex_count:nnN {#1} {#2} #3 + } + +\PrgNewFunction \RegexVarCount { M m M } + { + \regex_count:NnN #1 {#2} #3 + } + +\PrgNewFunction \RegexMatchCase { m m } + { + \regex_match_case:nn {#1} {#2} + } +\PrgNewFunction \RegexMatchCaseT { m m n } + { + \regex_match_case:nnT {#1} {#2} {#3} + } +\PrgNewFunction \RegexMatchCaseF { m m n } + { + \regex_match_case:nnF {#1} {#2} {#3} + } +\PrgNewFunction \RegexMatchCaseTF { m m n n } + { + \regex_match_case:nnTF {#1} {#2} {#3} {#4} + } + +\PrgNewFunction \RegexExtractOnce { m m M } + { + \regex_extract_once:nnN {#1} {#2} #3 + } +\PrgNewFunction \RegexExtractOnceT { m m M n } + { + \regex_extract_once:nnNT {#1} {#2} #3 {#4} + } +\PrgNewFunction \RegexExtractOnceF { m m M n } + { + \regex_extract_once:nnNF {#1} {#2} #3 {#4} + } +\PrgNewFunction \RegexExtractOnceTF { m m M n n } + { + \regex_extract_once:nnNTF {#1} {#2} #3 {#4} {#5} + } + +\PrgNewFunction \RegexVarExtractOnce { M m M } + { + \regex_extract_once:NnN #1 {#2} #3 + } +\PrgNewFunction \RegexVarExtractOnceT { M m M n } + { + \regex_extract_once:NnNT #1 {#2} #3 {#4} + } +\PrgNewFunction \RegexVarExtractOnceF { M m M n } + { + \regex_extract_once:NnNF #1 {#2} #3 {#4} + } +\PrgNewFunction \RegexVarExtractOnceTF { M m M n n } + { + \regex_extract_once:NnNTF #1 {#2} #3 {#4} {#5} + } + +\PrgNewFunction \RegexExtractAll { m m M } + { + \regex_extract_all:nnN {#1} {#2} #3 + } +\PrgNewFunction \RegexExtractAllT { m m M n } + { + \regex_extract_all:nnNT {#1} {#2} #3 {#4} + } +\PrgNewFunction \RegexExtractAllF { m m M n } + { + \regex_extract_all:nnNF {#1} {#2} #3 {#4} + } +\PrgNewFunction \RegexExtractAllTF { m m M n n } + { + \regex_extract_all:nnNTF {#1} {#2} #3 {#4} {#5} + } + +\PrgNewFunction \RegexVarExtractAll { M m M } + { + \regex_extract_all:NnN #1 {#2} #3 + } +\PrgNewFunction \RegexVarExtractAllT { M m M n } + { + \regex_extract_all:NnNT #1 {#2} #3 {#4} + } +\PrgNewFunction \RegexVarExtractAllF { M m M n } + { + \regex_extract_all:NnNF #1 {#2} #3 {#4} + } +\PrgNewFunction \RegexVarExtractAllTF { M m M n n } + { + \regex_extract_all:NnNTF #1 {#2} #3 {#4} {#5} + } + +\PrgNewFunction \RegexSplit { m m M } + { + \regex_split:nnN {#1} {#2} #3 + } +\PrgNewFunction \RegexSplitT { m m M n } + { + \regex_split:nnNT {#1} {#2} #3 {#4} + } +\PrgNewFunction \RegexSplitF { m m M n } + { + \regex_split:nnNF {#1} {#2} #3 {#4} + } +\PrgNewFunction \RegexSplitTF { m m M n n } + { + \regex_split:nnNTF {#1} {#2} #3 {#4} {#5} + } + +\PrgNewFunction \RegexVarSplit { M m M } + { + \regex_split:NnN #1 {#2} #3 + } +\PrgNewFunction \RegexVarSplitT { M m M n } + { + \regex_split:NnNT #1 {#2} #3 {#4} + } +\PrgNewFunction \RegexVarSplitF { M m M n } + { + \regex_split:NnNF #1 {#2} #3 {#4} + } +\PrgNewFunction \RegexVarSplitTF { M m M n n } + { + \regex_split:NnNTF #1 {#2} #3 {#4} {#5} + } + +\PrgNewFunction \RegexReplaceOnce { m m M } + { + \regex_replace_once:nnN {#1} {#2} #3 + } +\PrgNewFunction \RegexReplaceOnceT { m m M n } + { + \regex_replace_once:nnNT {#1} {#2} #3 {#4} + } +\PrgNewFunction \RegexReplaceOnceF { m m M n } + { + \regex_replace_once:nnNF {#1} {#2} #3 {#4} + } +\PrgNewFunction \RegexReplaceOnceTF { m m M n n } + { + \regex_replace_once:nnNTF {#1} {#2} #3 {#4} {#5} + } + +\PrgNewFunction \RegexVarReplaceOnce { M m M } + { + \regex_replace_once:NnN #1 {#2} #3 + } +\PrgNewFunction \RegexVarReplaceOnceT { M m M n } + { + \regex_replace_once:NnNT #1 {#2} #3 {#4} + } +\PrgNewFunction \RegexVarReplaceOnceF { M m M n } + { + \regex_replace_once:NnNF #1 {#2} #3 {#4} + } +\PrgNewFunction \RegexVarReplaceOnceTF { M m M n n } + { + \regex_replace_once:NnNTF #1 {#2} #3 {#4} {#5} + } + +\PrgNewFunction \RegexReplaceAll { m m M } + { + \regex_replace_all:nnN {#1} {#2} #3 + } +\PrgNewFunction \RegexReplaceAllT { m m M n } + { + \regex_replace_all:nnNT {#1} {#2} #3 {#4} + } +\PrgNewFunction \RegexReplaceAllF { m m M n } + { + \regex_replace_all:nnNF {#1} {#2} #3 {#4} + } +\PrgNewFunction \RegexReplaceAllTF { m m M n n } + { + \regex_replace_all:nnNTF {#1} {#2} #3 {#4} {#5} + } + +\PrgNewFunction \RegexVarReplaceAll { M m M } + { + \regex_replace_all:NnN #1 {#2} #3 + } +\PrgNewFunction \RegexVarReplaceAllT { M m M n } + { + \regex_replace_all:NnNT #1 {#2} #3 {#4} + } +\PrgNewFunction \RegexVarReplaceAllF { M m M n } + { + \regex_replace_all:NnNF #1 {#2} #3 {#4} + } +\PrgNewFunction \RegexVarReplaceAllTF { M m M n n } + { + \regex_replace_all:NnNTF #1 {#2} #3 {#4} {#5} + } + +\PrgNewFunction \RegexReplaceCaseOnce { m M } + { + \regex_replace_case_once:nN {#1} #2 + } +\PrgNewFunction \RegexReplaceCaseOnceT { m M n } + { + \regex_replace_case_once:nN {#1} #2 {#3} + } +\PrgNewFunction \RegexReplaceCaseOnceF { m M n } + { + \regex_replace_case_once:nN {#1} #2 {#3} + } +\PrgNewFunction \RegexReplaceCaseOnceTF { m M n n } + { + \regex_replace_case_once:nN {#1} #2 {#3} {#4} + } + +\PrgNewFunction \RegexReplaceCaseAll { m M } + { + \regex_replace_case_all:nN {#1} #2 + } +\PrgNewFunction \RegexReplaceCaseAllT { m M n } + { + \regex_replace_case_all:nN {#1} #2 {#3} + } +\PrgNewFunction \RegexReplaceCaseAllF { m M n } + { + \regex_replace_case_all:nN {#1} #2 {#3} + } +\PrgNewFunction \RegexReplaceCaseAllTF { m M n n } + { + \regex_replace_case_all:nN {#1} #2 {#3} {#4} + } + %%% -------------------------------------------------------- %%> \section{Interfaces for Token Manipulation (Token)} %%% -------------------------------------------------------- diff --git a/macros/latex/contrib/functional/functional.tex b/macros/latex/contrib/functional/functional.tex index 2ff408082b..d5bc913ba6 100644 --- a/macros/latex/contrib/functional/functional.tex +++ b/macros/latex/contrib/functional/functional.tex @@ -3,7 +3,7 @@ \documentclass[oneside]{book} \usepackage[a4paper,margin=2.5cm]{geometry} -\newcommand*{\myversion}{2022E} +\newcommand*{\myversion}{2022F} \newcommand*{\mydate}{Version \myversion\ (\the\year-\mylpad\month-\mylpad\day)} \newcommand*{\mylpad}[1]{\ifnum#1<10 0\the#1\else\the#1\fi} @@ -34,6 +34,11 @@ \tl_set:Nn \lTmpaTl {#1} \regex_replace_once:nnN { \_ } { \c{MySubScript} } \lTmpaTl } +\NewDocumentCommand\RelaceUnderScoreAll{m}{ + \tl_set:Nn \lTmpaTl {#1} + \regex_replace_all:nnN { \_ } { \c{_} } \lTmpaTl + \lTmpaTl +} \ExplSyntaxOff \NewDocumentEnvironment{variable}{om}{ @@ -64,8 +69,8 @@ \NewDocumentEnvironment{texnote}{}{}{} -\NewDocumentCommand\cs{m}{% - \texttt{\bfseries\color{purple3}\expandafter\string\csname#1\endcsname}% +\NewDocumentCommand\cs{O{}m}{% + \texttt{\bfseries\color{purple3}\cBackslashStr\RelaceUnderScoreAll{#2}}% } \NewDocumentCommand\meta{m}{% \RelaceChacters{#1}% @@ -87,6 +92,31 @@ \underline{\textsl{#1}}% } +\newenvironment{l3regex-syntax} + {\begin{itemize}\def\\{\char`\\}\def\makelabel##1{\hss\llap{\ttfamily##1}}} + {\end{itemize}} + +\usepackage{shortvrb} + +\NewDocumentCommand \MyMakeShortVerb {} {% + \MakeShortVerb \|% + \MakeShortVerb \"% +} +\NewDocumentCommand \MyDeleteShortVerb {} {% + \DeleteShortVerb \|% + \DeleteShortVerb \"% +} + +\AtBeginDocument{\MyMakeShortVerb} +\AtEndDocument{\MyDeleteShortVerb} +\AddToHook{env/demohigh/before}{\MyDeleteShortVerb} +\AddToHook{env/demohigh/after}{\MyMakeShortVerb} + +\usepackage{hologo} +\providecommand*\LuaTeX{\hologo{LuaTeX}} +\providecommand*\pdfTeX{\hologo{pdfTeX}} +\providecommand*\XeTeX{\hologo{XeTeX}} + \usepackage{amsmath} \usepackage{hyperref} @@ -101,19 +131,19 @@ \begin{document} -\title{\sffamily LaTeX2 \textcolor{green3}{Functional} Interfaces for LaTeX3 Programming Layer} +\title{\sffamily Intuitive \textcolor{green3}{Functional} Programming Interface for LaTeX2} \author{Jianrui Lyu (tolvjr@163.com)\\\url{https://github.com/lvjr/functional}} \date{\mydate\vspace{1cm}\\\myabstract\vspace{10cm}} \newcommand\myabstract{\parbox{\linewidth}{\hrule\vspace{0.8em}\large -LaTeX3 programming layer (\textsf{expl3}) is very powerful for advanced users, -but it is a little complicated for normal users. -This \textcolor{green3}{\sffamily functional} package aims to provide -intuitive LaTeX2 functional interfaces for it. +This package provides an intuitive functional programming interface for LaTeX2, +which is an alternative choice to \textsf{expl3} or LuaTeX, +if you want to do programming in LaTeX. \par\vspace{0.5em} -Although there are functions in LaTeX3, the evaluation of them is from outside to inside. +Although there are functions in LaTeX3 programming layer (\textsf{expl3}), +the evaluation of them is from outside to inside. With this package, the evaluation of functions is from inside to outside, -which is the same as other programming languages such as \texttt{JavaScript} or \texttt{Lua}. +which is the same as other programming languages such as \texttt{Lua}. In this way, it is rather easy to debug code too. \par\vspace{0.5em} Note that many paragraphs in this manual are copied from the documentation of \textsf{expl3}. @@ -508,21 +538,41 @@ is: if the argument starts with a function defined with \cs{PrgNewFunction}, the argument will be evaluated and replaced with the returned value. \end{function} +\begin{function}{\PrgSetEqFunction} +\begin{syntax} +\cs{PrgSetEqFunction} \meta{function_1} \meta{function_2} +\end{syntax} +Sets \meta{function_1} as an alias of \meta{function_2}. +\end{function} + \begin{function}{\PrgNewConditional} \begin{syntax} \cs{PrgNewConditional} \meta{function} \Arg{argument specification} \Arg{code} \end{syntax} Creates protected conditional \meta{function} for evaluating the \meta{code}. -The returned value of the \meta{function} \emph{must} be either \verb!\cTrueBool! -or \verb!\cFalseBool! and be passed with \cs{Return} function.. +The returned value of the \meta{function} \emph{must} be either |\cTrueBool| +or |\cFalseBool| and be passed with \cs{Return} function.. The definition is global and an error results if the \meta{function} is already defined. \par -Assume the \meta{function} is \verb!\FooIfBar!, then another function \verb!\FooIfBarTF! -will be created at the same time. \verb!\FooIfBarTF! function has two extra arguments -which are \Arg{true code} and \Arg{false code}.\par +Assume the \meta{function} is |\FooIfBar|, then another three functions +are also created at the same time: |\FooIfBarT|, |\FooIfBarF|, and |\FooIfBarTF|. +They have extra arguments which are \Arg{true code} or/and \Arg{false code}. +For example, if you write +\begin{codehigh} +\PrgNewConditional \FooIfBar {Mm} {code with return value \cTrueBool or \cFalseBool} +\end{codehigh} +Then the following four functions are created: +\begin{itemize} + \item |\FooIfBar| \meta{arg_1} \Arg{arg_2} + \item |\FooIfBarT| \meta{arg_1} \Arg{arg_2} \Arg{true code} + \item |\FooIfBarF| \meta{arg_1} \Arg{arg_2} \Arg{false code} + \item |\FooIfBarTF| \meta{arg_1} \Arg{arg_2} \Arg{true code} \Arg{false code} +\end{itemize} \end{function} -\section{Return Values of Functions} +\section{Returning Values and Printing Tokens} + +Just like \LuaTeX, \pkg{functional} package also provides \cs{Return} and \cs{Print} functions. \begin{function}{\Return} \begin{syntax} @@ -551,6 +601,41 @@ is returned. Therefore, the following two examples produce the same output: \IgnoreSpacesOff \MathSquare{5} \end{codehigh} +\pkg{Functional} package takes care of return values, +and only print them to the input stream if the outer most functions are evaluated. +\end{function} + +\begin{function}{\Print} +\begin{syntax} +\cs{Print} \Arg{tokens} +\end{syntax} +Prints \meta{tokens} directly to the input stream. +If there is no function defined with \cs{PrgNewFunction} in \meta{tokens}, +you can omit \cs{Print} and write only \meta{tokens}. +But if there is any function defined with \cs{PrgNewFunction} in \meta{tokens}, +you \emph{have to} use \cs{Print} function. +\end{function} + +\section{Running Code with Anonymous Functions} + +\begin{function}{\Do} +\begin{syntax} +\cs{Do} \Arg{code} +\end{syntax} +Treats \meta{code} as an anonymous function without arguments and evaluates it. +\end{function} + +\begin{function}{\PrgRunOneArgCode,\PrgRunTwoArgCode,\PrgRunThreeArgCode,\PrgRunFourArgCode} +\begin{syntax} +\cs{PrgRunOneArgCode} \Arg{arg_1} \Arg{code} +\cs{PrgRunTwoArgCode} \Arg{arg_1} \Arg{arg_2} \Arg{code} +\cs{PrgRunThreeArgCode} \Arg{arg_1} \Arg{arg_2} \Arg{arg_3} \Arg{code} +\cs{PrgRunFourArgCode} \Arg{arg_1} \Arg{arg_2} \Arg{arg_3} \Arg{arg_4} \Arg{code} +\end{syntax} +Treats \meta{code} as an anonymous function with one to four arguments respectively, +and evaluates it. In evaluating the \meta{code}, \pkg{functional} package first evaluates +\meta{arg_1} to \meta{arg_4}, then replaces |#1| to |#4| in \meta{code} +with the return values respectively. \end{function} \chapter{Argument Using (\texttt{Use})} @@ -6803,6 +6888,1077 @@ making the comparison using the method described by \cs{StrIfEqTF}. %\end{texnote} \end{function} +\chapter{Regular Expressions (\texttt{Regex})} + +This module provides regular expression testing, +extraction of submatches, splitting, and replacement, all acting +on token lists. The syntax of regular expressions is mostly a subset +of the \textsc{pcre} syntax (and very close to \textsc{posix}), +with some additions +due to the fact that \TeX{} manipulates tokens rather than characters. +For performance reasons, only a limited set of features are implemented. +Notably, back-references are not supported. + +Let us give a few examples. The following example replace the first +occurrence of \enquote{\texttt{at}} with \enquote{\texttt{is}} +in the token list variable \cs{lTmpaTl}. +\begin{demohigh} +\TlSet \lTmpaTl {That cat.} +\RegexReplaceOnce {at} {is} \lTmpaTl +\TlUse \lTmpaTl +\end{demohigh} +A more complicated example is +a pattern to emphasize each word and add a comma after it: +\begin{demohigh} +\TlSet \lTmpaTl {That cat.} +\RegexReplaceAll {\w+} {\c{underline} \cB\{ \0 \cE\} ,} \lTmpaTl +\TlUse \lTmpaTl +\end{demohigh} +The |\w| sequence represents any \enquote{word} character, and |+| +indicates that the |\w| sequence should be repeated as many times as +possible (at least once), hence matching a word in the input token +list. In the replacement text, |\0| denotes the full match (here, a +word). The command |\underline| is inserted using |\c{underline}|, +and its argument |\0| is put between braces |\cB\{| and |\cE\}|. + +If a regular expression is to be used several times, +it can be compiled once, and stored in a regex +variable using \cs{RegexSet}. For example, +\begin{codehigh} +\RegexNew \lFooRegex +\RegexSet \lFooRegex {\c{begin} \cB. (\c[^BE].*) \cE.} +\end{codehigh} +stores in \cs{lFooRegex} a regular expression which matches the +starting marker for an environment: \cs[no-index]{begin}, followed by a +begin-group token (|\cB.|), then any number of tokens which are +neither begin-group nor end-group character tokens (|\c[^BE].*|), +ending with an end-group token (|\cE.|). As explained later, +the parentheses \enquote{capture} the result of |\c[^BE].*|, +giving us access to the name of the environment when doing +replacements. + +\section{Regular Expression Variables} + +If a regular expression is to be used several times, +it is better to compile it once rather than doing it +each time the regular expression is used. The compiled +regular expression is stored in a variable. All +of this module's functions can be given their +regular expression argument either as an explicit string +or as a compiled regular expression. + +\begin{variable}{\lTmpaRegex,\lTmpbRegex,\lTmpcRegex,\lTmpiRegex,\lTmpjRegex,\lTmpkRegex} +Scratch regex variables for local assignment. These are never used by +\verb!function! package, and so are safe for use with any function. +However, they may be overwritten by other non-kernel +code and so should only be used for short-term storage. +\end{variable} + +\begin{variable}{\gTmpaRegex,\gTmpbRegex,\gTmpcRegex,\gTmpiRegex,\gTmpjRegex,\gTmpkRegex} +Scratch regex variables for global assignment. These are never used by +\verb!function! package, and so are safe for use with any function. +However, they may be overwritten by other non-kernel +code and so should only be used for short-term storage. +\end{variable} + +\begin{function}{\RegexNew} +\begin{syntax} +\cs{RegexNew} \meta{regex var} +\end{syntax} +Creates a new \meta{regex var} or raises an error if the +name is already taken. The declaration is global. The +\meta{regex var} is initially such that it never matches. +\end{function} + +\begin{function}{\RegexSet} +\begin{syntax} +\cs{RegexSet} \meta{regex var} \Arg{regex} +\end{syntax} +Stores a compiled version of the \meta{regular expression} in the +\meta{regex var}. For instance, this function can be +used as +\begin{codehigh} +\RegexNew \lMyRegex +\RegexSet \lMyRegex {my\ (simple\ )? reg(ex|ular\ expression)} +\end{codehigh} +\end{function} + +\begin{function}{\RegexConst} +\begin{syntax} +\cs{RegexConst} \meta{regex var} \Arg{regex} +\end{syntax} +Creates a new constant \meta{regex var} or raises an error if the name +is already taken. The value of the \meta{regex var} is set +globally to the compiled version of the \meta{regular expression}. +\end{function} + +\begin{function}{\RegexLog,\RegexVarLog,\RegexShow,\RegexVarShow} +\begin{syntax} +\cs{RegexLog} \Arg{regex} +\cs{RegexVarLog} \meta{regex var} +\cs{RegexShow} \Arg{regex} +\cs{RegexVarShow} \meta{regex var} +\end{syntax} +Displays in the terminal or writes in the log file (respectively) +how \pkg{l3regex} interprets the \meta{regex}. For instance, +\cs{RegexShow} \verb+{\A X|Y}+ shows +\begin{codehigh} ++-branch + anchor at start (\A) + char code 88 (X) ++-branch + char code 89 (Y) +\end{codehigh} +indicating that the anchor |\A| only applies to the first branch: +the second branch is not anchored to the beginning of the match. +\end{function} + +\section{Regular Expression Matching} + +\begin{function}{\RegexMatch,\RegexMatchT,\RegexMatchF,\RegexMatchTF} +\begin{syntax} +\cs{RegexMatch} \Arg{regex} \Arg{token list} +\cs{RegexMatchT} \Arg{regex} \Arg{token list} \Arg{true code} +\cs{RegexMatchF} \Arg{regex} \Arg{token list} \Arg{false code} +\cs{RegexMatchTF} \Arg{regex} \Arg{token list} \Arg{true code} \Arg{false code} +\end{syntax} +Tests whether the \meta{regular expression} matches any part +of the \meta{token list}. For instance, +\begin{demohigh} +\RegexMatchTF {b [cde]*} {abecdcx} {\Print{True}} {\Print{False}} +\RegexMatchTF {[b-dq-w]} {example} {\Print{True}} {\Print{False}} +\end{demohigh} +\end{function} + +\begin{function}{\RegexVarMatch,\RegexVarMatchT,\RegexVarMatchF,\RegexVarMatchTF} +\begin{syntax} +\cs{RegexVarMatch} \meta{regex var} \Arg{token list} +\cs{RegexVarMatchT} \meta{regex var} \Arg{token list} \Arg{true code} +\cs{RegexVarMatchF} \meta{regex var} \Arg{token list} \Arg{false code} +\cs{RegexVarMatchTF} \meta{regex var} \Arg{token list} \Arg{true code} \Arg{false code} +\end{syntax} +Tests whether the \meta{regex var} matches any part of the \meta{token list}. +\end{function} + +\begin{function}{\RegexCount,\RegexVarCount} +\begin{syntax} +\cs{RegexCount} \Arg{regex} \Arg{token list} \meta{int var} +\cs{RegexVarCount} \meta{regex var} \Arg{token list} \meta{int var} +\end{syntax} +Sets \meta{int var} within the current \TeX{} group level +equal to the number of times +\meta{regular expression} appears in \meta{token list}. +The search starts by finding the left-most longest match, +respecting greedy and lazy (non-greedy) operators. Then the search +starts again from the character following the last character +of the previous match, until reaching the end of the token list. +Infinite loops are prevented in the case where the regular expression +can match an empty token list: then we count one match between each +pair of characters. For instance, +\begin{demohigh} +\IntNew \lFooInt +\RegexCount {(b+|c)} {abbababcbb} \lFooInt +\IntUse \lFooInt +\end{demohigh} +\end{function} + +\begin{function}{\RegexMatchCase} +\begin{syntax} +\cs{RegexMatchCase} +~ ~ |{| +~ ~ ~ ~ \Arg{regex_1} \Arg{code case_1} +~ ~ ~ ~ \Arg{regex_2} \Arg{code case_2} +~ ~ ~ ~ \ldots +~ ~ ~ ~ \Arg{regex_n} \Arg{code case_n} +~ ~ |}| \Arg{token list} +\end{syntax} +Determines which of the \meta{regular expressions} matches at the earliest +point in the \meta{token list}, and leaves the corresponding \meta{code_i}. +If several \meta{regex} match starting at the same point, +then the first one in the list is selected and the others are discarded. +Each \meta{regex} can either be given as a regex variable or as an explicit +regular expression. +\par +In detail, for each starting position in the \meta{token list}, each +of the \meta{regex} is searched in turn. If one of them matches +then the corresponding \meta{code} is used and everything else is +discarded, while if none of the \meta{regex} match at a given +position then the next starting position is attempted. If none of +the \meta{regex} match anywhere in the \meta{token list} then +nothing is left in the input stream. Note that this differs from +nested \cs{RegexMatch} statements since all \meta{regex} are +attempted at each position rather than attempting to match +\meta{regex_1} at every position before moving on to \meta{regex_2}. +\end{function} + +\begin{function}{\RegexMatchCaseT} +\begin{syntax} +\cs{RegexMatchCaseT} +~ ~ |{| +~ ~ ~ ~ \Arg{regex_1} \Arg{code case_1} +~ ~ ~ ~ \Arg{regex_2} \Arg{code case_2} +~ ~ ~ ~ \ldots +~ ~ ~ ~ \Arg{regex_n} \Arg{code case_n} +~ ~ |}| \Arg{token list} +~ ~ \Arg{true code} +\end{syntax} +Determines which of the \meta{regular expressions} matches at the +earliest point in the \meta{token list}, and leaves the +corresponding \meta{code_i} followed by the \meta{true code} in the +input stream. If several \meta{regex} match starting at the same +point, then the first one in the list is selected and the others are +discarded. Each \meta{regex} can either be given +as a regex variable or as an explicit regular expression. +\end{function} + +\begin{function}{\RegexMatchCaseF} +\begin{syntax} +\cs{RegexMatchCaseF} +~ ~ |{| +~ ~ ~ ~ \Arg{regex_1} \Arg{code case_1} +~ ~ ~ ~ \Arg{regex_2} \Arg{code case_2} +~ ~ ~ ~ \ldots +~ ~ ~ ~ \Arg{regex_n} \Arg{code case_n} +~ ~ |}| \Arg{token list} +~ ~ \Arg{false code} +\end{syntax} +Determines which of the \meta{regular expressions} matches at the +earliest point in the \meta{token list}, and leaves the +corresponding \meta{code_i}. +If several \meta{regex} match starting at the same +point, then the first one in the list is selected and the others are +discarded. If none of the \meta{regex} match, the \meta{false code} +is left in the input stream. Each \meta{regex} can either be given +as a regex variable or as an explicit regular expression. +\end{function} + +\begin{function}{\RegexMatchCaseTF} +\begin{syntax} +\cs{RegexMatchCaseTF} +~ ~ |{| +~ ~ ~ ~ \Arg{regex_1} \Arg{code case_1} +~ ~ ~ ~ \Arg{regex_2} \Arg{code case_2} +~ ~ ~ ~ \ldots +~ ~ ~ ~ \Arg{regex_n} \Arg{code case_n} +~ ~ |}| \Arg{token list} +~ ~ \Arg{true code} \Arg{false code} +\end{syntax} +Determines which of the \meta{regular expressions} matches at the +earliest point in the \meta{token list}, and leaves the +corresponding \meta{code_i} followed by the \meta{true code} in the +input stream. If several \meta{regex} match starting at the same +point, then the first one in the list is selected and the others are +discarded. If none of the \meta{regex} match, the \meta{false code} +is left in the input stream. Each \meta{regex} can either be given +as a regex variable or as an explicit regular expression. +\end{function} + +\section{Regular Expression Submatch Extraction} + +\begin{function}{\RegexExtractOnce,\RegexExtractOnceT,\RegexExtractOnceF,\RegexExtractOnceTF} +\begin{syntax} +\cs{RegexExtractOnce} \Arg{regex} \Arg{token list} \meta{seq var} +\cs{RegexExtractOnceT} \Arg{regex} \Arg{token list} \meta{seq var} \Arg{true code} +\cs{RegexExtractOnceF} \Arg{regex} \Arg{token list} \meta{seq var} \Arg{false code} +\cs{RegexExtractOnceTF} \Arg{regex} \Arg{token list} \meta{seq var} \Arg{true code} \Arg{false code} +\end{syntax} +Finds the first match of the \meta{regular expression} in the +\meta{token list}. If it exists, the match is stored as the first +item of the \meta{seq var}, and further items are the contents of +capturing groups, in the order of their opening parenthesis. The +\meta{seq var} is assigned locally. If there is no match, the +\meta{seq var} is cleared. The testing versions insert the +\meta{true code} into the input stream if a match was found, and the +\meta{false code} otherwise. +\par +For instance, assume that you type +\begin{codehigh} +\RegexExtractOnce {\A(La)?TeX(!*)\Z} {LaTeX!!!} \lTmpaSeq +\end{codehigh} +Then the regular expression (anchored at the start with |\A| and +at the end with |\Z|) must match the whole token list. The first +capturing group, |(La)?|, matches |La|, and the second capturing +group, |(!*)|, matches |!!!|. Thus, \cs{lTmpaSeq} contains as a result +the items |{LaTeX!!!}|, |{La}|, and |{!!!}|. +Note that the $n$-th item of \cs{lTmpaSeq}, as obtained using +\cs{SeqVarItem}, correspond to the submatch numbered $(n-1)$ in +functions such as \cs{RegexReplaceOnce}. +\end{function} + +\begin{function}{\RegexVarExtractOnce,\RegexVarExtractOnceT,\RegexVarExtractOnceF,\RegexVarExtractOnceTF} +\begin{syntax} +\cs{RegexVarExtractOnce} \meta{regex var} \Arg{token list} \meta{seq var} +\cs{RegexVarExtractOnceT} \meta{regex var} \Arg{token list} \meta{seq var} \Arg{true code} +\cs{RegexVarExtractOnceF} \meta{regex var} \Arg{token list} \meta{seq var} \Arg{false code} +\cs{RegexVarExtractOnceTF} \meta{regex var} \Arg{token list} \meta{seq var} \Arg{true code} \Arg{false code} +\end{syntax} +Finds the first match of the \meta{regex var} in the +\meta{token list}. If it exists, the match is stored as the first +item of the \meta{seq var}, and further items are the contents of +capturing groups, in the order of their opening parenthesis. The +\meta{seq var} is assigned locally. If there is no match, the +\meta{seq var} is cleared. The testing versions insert the +\meta{true code} into the input stream if a match was found, and the +\meta{false code} otherwise. +\end{function} + +\begin{function}{\RegexExtractAll,\RegexExtractAllT,\RegexExtractAllF,\RegexExtractAllTF} +\begin{syntax} +\cs{RegexExtractAll} \Arg{regex} \Arg{token list} \meta{seq var} +\cs{RegexExtractAllT} \Arg{regex} \Arg{token list} \meta{seq var} \Arg{true code} +\cs{RegexExtractAllF} \Arg{regex} \Arg{token list} \meta{seq var} \Arg{false code} +\cs{RegexExtractAllTF} \Arg{regex} \Arg{token list} \meta{seq var} \Arg{true code} \Arg{false code} +\end{syntax} +Finds all matches of the \meta{regular expression} +in the \meta{token list}, and stores all the submatch information +in a single sequence (concatenating the results of +multiple \cs{RegexExtractOnce} calls). +The \meta{seq var} is assigned locally. If there is no match, +the \meta{seq var} is cleared. +The testing versions insert the \meta{true code} into the input +stream if a match was found, and the \meta{false code} otherwise. +For instance, assume that you type +\begin{codehigh} +\RegexExtractAll {\w+} {Hello, world!} \lTmpaSeq +\end{codehigh} +Then the regular expression matches twice, the resulting +sequence contains the two items |{Hello}| and |{world}|. +\end{function} + +\begin{function}{\RegexVarExtractAll,\RegexVarExtractAllT,\RegexVarExtractAllF,\RegexVarExtractAllTF} +\begin{syntax} +\cs{RegexVarExtractAll} \meta{regex var} \Arg{token list} \meta{seq var} +\cs{RegexVarExtractAllT} \meta{regex var} \Arg{token list} \meta{seq var} \Arg{true code} +\cs{RegexVarExtractAllF} \meta{regex var} \Arg{token list} \meta{seq var} \Arg{false code} +\cs{RegexVarExtractAllTF} \meta{regex var} \Arg{token list} \meta{seq var} \Arg{true code} \Arg{false code} +\end{syntax} +Finds all matches of the \meta{regex var} +in the \meta{token list}, and stores all the submatch information +in a single sequence (concatenating the results of +multiple \cs{RegexVarExtractOnce} calls). +The \meta{seq var} is assigned locally. If there is no match, +the \meta{seq var} is cleared. +The testing versions insert the \meta{true code} into the input +stream if a match was found, and the \meta{false code} otherwise. +\end{function} + +\begin{function}{\RegexSplit,\RegexSplitT,\RegexSplitF,\RegexSplitTF} +\begin{syntax} +\cs{RegexSplit} \Arg{regular expression} \Arg{token list} \meta{seq var} +\cs{RegexSplitT} \Arg{regular expression} \Arg{token list} \meta{seq var} \Arg{true code} +\cs{RegexSplitF} \Arg{regular expression} \Arg{token list} \meta{seq var} \Arg{false code} +\cs{RegexSplitTF} \Arg{regular expression} \Arg{token list} \meta{seq var} \Arg{true code} \Arg{false code} +\end{syntax} +Splits the \meta{token list} into a sequence of parts, delimited by +matches of the \meta{regular expression}. If the \meta{regular expression} +has capturing groups, then the token lists that they match are stored as +items of the sequence as well. The assignment to \meta{seq var} is local. +If no match is found the resulting \meta{seq var} has the +\meta{token list} as its sole item. If the \meta{regular expression} +matches the empty token list, then the \meta{token list} is split +into single tokens. +The testing versions insert the \meta{true code} into the input +stream if a match was found, and the \meta{false code} otherwise. +For example, after +\begin{codehigh} +\SeqNew \lPathSeq +\RegexSplit {/} {the/path/for/this/file.tex} \lPathSeq +\end{codehigh} +the sequence |\lPathSeq| contains the items |{the}|, |{path}|, +|{for}|, |{this}|, and |{file.tex}|. +\end{function} + +\begin{function}{\RegexVarSplit,\RegexVarSplitT,\RegexVarSplitF,\RegexVarSplitTF} +\begin{syntax} +\cs{RegexVarSplit} \meta{regex var} \Arg{token list} \meta{seq var} +\cs{RegexVarSplitT} \meta{regex var} \Arg{token list} \meta{seq var} \Arg{true code} +\cs{RegexVarSplitF} \meta{regex var} \Arg{token list} \meta{seq var} \Arg{false code} +\cs{RegexVarSplitTF} \meta{regex var} \Arg{token list} \meta{seq var} \Arg{true code} \Arg{false code} +\end{syntax} +Splits the \meta{token list} into a sequence of parts, delimited by +matches of the \meta{regular expression}. If the \meta{regex var} +has capturing groups, then the token lists that they match are stored as +items of the sequence as well. The assignment to \meta{seq var} is local. +If no match is found the resulting \meta{seq var} has the +\meta{token list} as its sole item. If the \meta{regular expression} +matches the empty token list, then the \meta{token list} is split +into single tokens. +The testing versions insert the \meta{true code} into the input +stream if a match was found, and the \meta{false code} otherwise. +\end{function} + +\section{Regular Expression Replacement} + +\begin{function}{\RegexReplaceOnce,\RegexReplaceOnceT,\RegexReplaceOnceT,\RegexReplaceOnceTF} +\begin{syntax} +\cs{RegexReplaceOnce} \Arg{regular expression} \Arg{replacement} \meta{tl var} +\cs{RegexReplaceOnceT} \Arg{regular expression} \Arg{replacement} \meta{tl var} \Arg{true code} +\cs{RegexReplaceOnceF} \Arg{regular expression} \Arg{replacement} \meta{tl var} \Arg{false code} +\cs{RegexReplaceOnceTF} \Arg{regular expression} \Arg{replacement} \meta{tl var} \Arg{true code} \Arg{false code} +\end{syntax} +Searches for the \meta{regular expression} in the contents of the +\meta{tl var} and replaces the first match with the +\meta{replacement}. In the \meta{replacement}, +|\0| represents the full match, |\1| represent the contents of the +first capturing group, |\2| of the second, \emph{etc.} +The result is assigned locally to \meta{tl var}. +\end{function} + +\begin{function}{\RegexReplaceOnce,\RegexReplaceOnceT,\RegexReplaceOnceT,\RegexReplaceOnceTF} +\begin{syntax} +\cs{RegexVarReplaceOnce} \meta{regex var} \Arg{replacement} \meta{tl var} +\cs{RegexVarReplaceOnceT} \meta{regex var} \Arg{replacement} \meta{tl var} \Arg{true code} +\cs{RegexVarReplaceOnceF} \meta{regex var} \Arg{replacement} \meta{tl var} \Arg{false code} +\cs{RegexVarReplaceOnceTF} \meta{regex var} \Arg{replacement} \meta{tl var} \Arg{true code} \Arg{false code} +\end{syntax} +Searches for the \meta{regex var} in the contents of the +\meta{tl var} and replaces the first match with the +\meta{replacement}. In the \meta{replacement}, +|\0| represents the full match, |\1| represent the contents of the +first capturing group, |\2| of the second, \emph{etc.} +The result is assigned locally to \meta{tl var}. +\end{function} + +\begin{function}{\RegexReplaceAll,\RegexReplaceAllT,\RegexReplaceAllF,\RegexReplaceAllTF} +\begin{syntax} +\cs{RegexReplaceAll} \Arg{regular expression} \Arg{replacement} \meta{tl var} +\cs{RegexReplaceAllT} \Arg{regular expression} \Arg{replacement} \meta{tl var} \Arg{true code} +\cs{RegexReplaceAllF} \Arg{regular expression} \Arg{replacement} \meta{tl var} \Arg{false code} +\cs{RegexReplaceAllTF} \Arg{regular expression} \Arg{replacement} \meta{tl var} \Arg{true code} \Arg{false code} +\end{syntax} +Replaces all occurrences of the \meta{regex var} in the +contents of the \meta{tl var} +by the \meta{replacement}, where |\0| represents +the full match, |\1| represent the contents of the first capturing +group, |\2| of the second, \emph{etc.} Every match is treated +independently, and matches cannot overlap. The result is assigned +locally to \meta{tl~var}. +\end{function} + +\begin{function}{\RegexVarReplaceAll,\RegexVarReplaceAllT,\RegexVarReplaceAllF,\RegexVarReplaceAllTF} +\begin{syntax} +\cs{RegexVarReplaceAll} \meta{regex var} \Arg{replacement} \meta{tl var} +\cs{RegexVarReplaceAllT} \meta{regex var} \Arg{replacement} \meta{tl var} \Arg{true code} +\cs{RegexVarReplaceAllF} \meta{regex var} \Arg{replacement} \meta{tl var} \Arg{false code} +\cs{RegexVarReplaceAllTF} \meta{regex var} \Arg{replacement} \meta{tl var} \Arg{true code} \Arg{false code} +\end{syntax} +Replaces all occurrences of the \meta{regular expression} in the +contents of the \meta{tl var} +by the \meta{replacement}, where |\0| represents +the full match, |\1| represent the contents of the first capturing +group, |\2| of the second, \emph{etc.} Every match is treated +independently, and matches cannot overlap. The result is assigned +locally to \meta{tl var}. +\end{function} + +\begin{function}{\RegexReplaceCaseOnce} +\begin{syntax} +\cs{RegexReplaceCaseOnce} +~ ~ |{| +~ ~ ~ ~ \Arg{regex_1} \Arg{replacement_1} +~ ~ ~ ~ \Arg{regex_2} \Arg{replacement_2} +~ ~ ~ ~ \ldots +~ ~ ~ ~ \Arg{regex_n} \Arg{replacement_n} +~ ~ |}| \meta{tl var} +\end{syntax} +Replaces the earliest match of the regular expression +"(?|"\meta{regex_1}"|"\dots"|"\meta{regex_n}")" in the \meta{token list variable} +by the \meta{replacement} corresponding to which \meta{regex_i} matched. +If none of the \meta{regex} match, then the +\meta{tl var} is not modified. Each \meta{regex} can either be given as a regex +variable or as an explicit regular expression. +\par +In detail, for each starting position in the \meta{token list}, each +of the \meta{regex} is searched in turn. If one of them matches +then it is replaced by the corresponding \meta{replacement} as +described for \cs{RegexReplaceOnce}. This is equivalent to +checking with \cs{RegexMatchCase} which \meta{regex} matches, +then performing the replacement with \cs{RegexReplaceOnce}. +\end{function} + +\begin{function}{\RegexReplaceCaseOnceT} +\begin{syntax} +\cs{RegexReplaceCaseOnceT} +~ ~ |{| +~ ~ ~ ~ \Arg{regex_1} \Arg{replacement_1} +~ ~ ~ ~ \Arg{regex_2} \Arg{replacement_2} +~ ~ ~ ~ \ldots +~ ~ ~ ~ \Arg{regex_n} \Arg{replacement_n} +~ ~ |}| \meta{tl var} +~ ~ \Arg{true code} +\end{syntax} +Replaces the earliest match of the regular expression +"(?|"\meta{regex_1}"|"\dots"|"\meta{regex_n}")" in the \meta{token list variable} +by the \meta{replacement} corresponding to which +\meta{regex_i} matched, then leaves the \meta{true code} in the +input stream. If none of the \meta{regex} match, then the +\meta{tl var} is not modified. Each \meta{regex} can either be given as a regex +variable or as an explicit regular expression. +\end{function} + +\begin{function}{\RegexReplaceCaseOnceF} +\begin{syntax} +\cs{RegexReplaceCaseOnceF} +~ ~ |{| +~ ~ ~ ~ \Arg{regex_1} \Arg{replacement_1} +~ ~ ~ ~ \Arg{regex_2} \Arg{replacement_2} +~ ~ ~ ~ \ldots +~ ~ ~ ~ \Arg{regex_n} \Arg{replacement_n} +~ ~ |}| \meta{tl var} +~ ~ \Arg{false code} +\end{syntax} +Replaces the earliest match of the regular expression +"(?|"\meta{regex_1}"|"\dots"|"\meta{regex_n}")" in the \meta{token list variable} +by the \meta{replacement} corresponding to which +\meta{regex_i} matched. If none of the \meta{regex} match, then the +\meta{tl var} is not modified, and the \meta{false code} is left in +the input stream. Each \meta{regex} can either be given as a regex +variable or as an explicit regular expression. +\end{function} + +\begin{function}{\RegexReplaceCaseOnceTF} +\begin{syntax} +\cs{RegexReplaceCaseOnceTF} +~ ~ |{| +~ ~ ~ ~ \Arg{regex_1} \Arg{replacement_1} +~ ~ ~ ~ \Arg{regex_2} \Arg{replacement_2} +~ ~ ~ ~ \ldots +~ ~ ~ ~ \Arg{regex_n} \Arg{replacement_n} +~ ~ |}| \meta{tl var} +~ ~ \Arg{true code} \Arg{false code} +\end{syntax} +Replaces the earliest match of the regular expression +"(?|"\meta{regex_1}"|"\dots"|"\meta{regex_n}")" in the \meta{token list variable} +by the \meta{replacement} corresponding to which +\meta{regex_i} matched, then leaves the \meta{true code} in the +input stream. If none of the \meta{regex} match, then the +\meta{tl var} is not modified, and the \meta{false code} is left in +the input stream. Each \meta{regex} can either be given as a regex +variable or as an explicit regular expression. +\end{function} + +\begin{function}{\RegexReplaceCaseAll} +\begin{syntax} +\cs{RegexReplaceCaseAll} +~ ~ |{| +~ ~ ~ ~ \Arg{regex_1} \Arg{replacement_1} +~ ~ ~ ~ \Arg{regex_2} \Arg{replacement_2} +~ ~ ~ ~ \ldots +~ ~ ~ ~ \Arg{regex_n} \Arg{replacement_n} +~ ~ |}| \meta{tl var} +\end{syntax} +Replaces all occurrences of all \meta{regex} in the \meta{token~list} +by the corresponding \meta{replacement}. Every match is +treated independently, and matches cannot overlap. The result is +assigned locally to \meta{tl var}. +\par +In detail, for each starting position in the \meta{token list}, each +of the \meta{regex} is searched in turn. If one of them matches +then it is replaced by the corresponding \meta{replacement}, and the +search resumes at the position that follows this match (and +replacement). For instance +%% FIXME +%\begin{codehigh} +%\TlSet \lTmpaTl {Hello, world!} +%\RegexReplaceCaseAll +% { +% {[A-Za-z]+} {``\0''} +% {\b} {---} +% {.} {[\0]} +% } \lTmpaTl +%\end{codehigh} +\begin{codehigh} +\TlSet \lTmpaTl {Hello, world!} +\RegexReplaceCaseAll + { + {[A-Za-z]+} {``\0''} + {\b} {---} + {.} {[\0]} + } \lTmpaTl +\end{codehigh} +results in \cs{lTmpaTl} having the contents +\verb*|``Hello''---[,][ ]``world''---[!]|. Note in particular that +the word-boundary assertion |\b| did not match at the start of words +because the case |[A-Za-z]+| matched at these positions. To change +this, one could simply swap the order of the two cases in the +argument of \cs{RegexReplaceCaseAll}. +\end{function} + +\begin{function}{\RegexReplaceCaseAllT} +\begin{syntax} +\cs{RegexReplaceCaseAllT} +~ ~ |{| +~ ~ ~ ~ \Arg{regex_1} \Arg{replacement_1} +~ ~ ~ ~ \Arg{regex_2} \Arg{replacement_2} +~ ~ ~ ~ \ldots +~ ~ ~ ~ \Arg{regex_n} \Arg{replacement_n} +~ ~ |}| \meta{tl var} +~ ~ \Arg{true code} +\end{syntax} +Replaces all occurrences of all \meta{regex} in the \meta{token~list} +by the corresponding \meta{replacement}. Every match is +treated independently, and matches cannot overlap. The result is +assigned locally to \meta{tl var}, and the \meta{true code} +is left in the input stream if any replacement was made. +\end{function} + +\begin{function}{\RegexReplaceCaseAllF} +\begin{syntax} +\cs{RegexReplaceCaseAllF} +~ ~ |{| +~ ~ ~ ~ \Arg{regex_1} \Arg{replacement_1} +~ ~ ~ ~ \Arg{regex_2} \Arg{replacement_2} +~ ~ ~ ~ \ldots +~ ~ ~ ~ \Arg{regex_n} \Arg{replacement_n} +~ ~ |}| \meta{tl var} +~ ~ \Arg{false code} +\end{syntax} +Replaces all occurrences of all \meta{regex} in the \meta{token~list} +by the corresponding \meta{replacement}. Every match is +treated independently, and matches cannot overlap. The result is +assigned locally to \meta{tl var}, and the \meta{false code} is left +in the input stream if not any replacement was made. +\end{function} + +\begin{function}{\RegexReplaceCaseAllTF} +\begin{syntax} +\cs{RegexReplaceCaseAllTF} +~ ~ |{| +~ ~ ~ ~ \Arg{regex_1} \Arg{replacement_1} +~ ~ ~ ~ \Arg{regex_2} \Arg{replacement_2} +~ ~ ~ ~ \ldots +~ ~ ~ ~ \Arg{regex_n} \Arg{replacement_n} +~ ~ |}| \meta{tl var} +~ ~ \Arg{true code} \Arg{false code} +\end{syntax} +Replaces all occurrences of all \meta{regex} in the \meta{token +list} by the corresponding \meta{replacement}. Every match is +treated independently, and matches cannot overlap. The result is +assigned locally to \meta{tl var}, and the \meta{true code} or +\meta{false code} is left in the input stream depending on whether +any replacement was made or not. +\end{function} + +\section{Syntax of Regular Expressions} + +\subsection{Regular Expression Examples} + +We start with a few examples, and encourage the reader to apply +\cs{RegexShow} to these regular expressions. +\begin{itemize} +\item |Cat| matches the word \enquote{Cat} capitalized in this way, + but also matches the beginning of the word \enquote{Cattle}: use + |\bCat\b| to match a complete word only. +\item |[abc]| matches one letter among \enquote{a}, \enquote{b}, + \enquote{c}; the pattern \verb"(a|b|c)" matches the same three + possible letters (but see the discussion of submatches below). +\item |[A-Za-z]*| matches any number (due to the quantifier + \verb"*") of Latin letters (not accented). +\item |\c{[A-Za-z]*}| matches a control sequence made of Latin + letters. +\item |\_[^\_]*\_| matches an underscore, any number of characters + other than underscore, and another underscore; it is equivalent to + |\_.*?\_| where |.| matches arbitrary characters and the + lazy quantifier |*?| means to match as few characters as + possible, thus avoiding matching underscores. +\item |[\+\-]?\d+| matches an explicit integer with at most one + sign. +\item \verb*"[\+\-\ ]*\d+\ *" matches an explicit integer with any + number of $+$ and $-$ signs, with spaces allowed except within the + mantissa, and surrounded by spaces. +\item \verb*"[\+\-\ ]*(\d+|\d*\.\d+)\ *" matches an explicit integer or + decimal number; using \verb*"[.,]" instead of \verb*"\." would allow + the comma as a decimal marker. +\item + \verb*"[\+\-\ ]*(\d+|\d*\.\d+)\ *((?i)pt|in|[cem]m|ex|[bs]p|[dn]d|[pcn]c)\ *" + \allowbreak matches an explicit dimension with any unit that \TeX{} knows, where + \verb*"(?i)" means to treat lowercase and uppercase letters + identically. +\item \verb*"[\+\-\ ]*((?i)nan|inf|(\d+|\d*\.\d+)(\ *e[\+\-\ ]*\d+)?)\ *" + matches an explicit floating point number or the special values + \verb*"nan" and \verb*"inf" (with signs and spaces allowed). +\item \verb*"[\+\-\ ]*(\d+|\cC.)\ *" matches an explicit integer or + control sequence (without checking whether it is an integer + variable). +\item |\G.*?\K| at the beginning of a regular expression matches and + discards (due to |\K|) everything between the end of the previous + match (|\G|) and what is matched by the rest of the regular + expression; this is useful in \cs{RegexReplaceAll} when the + goal is to extract matches or submatches in a finer way than with + \cs{RegexExtractAll}. +\end{itemize} +While it is impossible for a regular expression to match only integer +expressions, \newline\verb*"[\+\-\(]*\d+\)*([\+\-*/][\+\-\(]*\d+\)*)*" matches among +other things all valid integer expressions (made only with explicit +integers). One should follow it with further testing. + +\subsection{Characters in Regular Expressions} + +Most characters match exactly themselves, +with an arbitrary category code. Some characters are +special and must be escaped with a backslash (\emph{e.g.}, |\*| +matches a star character). Some escape sequences of +the form backslash--letter also have a special meaning +(for instance |\d| matches any digit). As a rule, +\begin{itemize} +\item every alphanumeric character (\texttt{A}--\texttt{Z}, + \texttt{a}--\texttt{z}, \texttt{0}--\texttt{9}) matches + exactly itself, and should not be escaped, because + |\A|, |\B|, \ldots{} have special meanings; +\item non-alphanumeric printable ASCII characters can (and should) + always be escaped: many of them have special meanings (\emph{e.g.}, + use |\(|, |\)|, |\?|, |\.|, |\^|); +\item spaces should always be escaped (even in character + classes); +\item any other character may be escaped or not, without any + effect: both versions match exactly that character. +\end{itemize} +Note that these rules play nicely with the fact that many +non-alphanumeric characters are difficult to input into \TeX{} +under normal category codes. For instance, |\\abc\%| +matches the characters |\abc%| (with arbitrary category codes), +but does not match the control sequence |\abc| followed by a +percent character. Matching control sequences can be done +using the |\c|\Arg{regex} syntax (see below). + +Any special character which appears at a place where its special +behaviour cannot apply matches itself instead (for instance, a +quantifier appearing at the beginning of a string), after raising a +warning. + +Characters. +\begin{l3regex-syntax} + \item[\\x\{hh\ldots{}\}] Character with hex code \texttt{hh\ldots{}} + \item[\\xhh] Character with hex code \texttt{hh}. + \item[\\a] Alarm (hex 07). + \item[\\e] Escape (hex 1B). + \item[\\f] Form-feed (hex 0C). + \item[\\n] New line (hex 0A). + \item[\\r] Carriage return (hex 0D). + \item[\\t] Horizontal tab (hex 09). +\end{l3regex-syntax} + +\subsection{Characters Classes} + +Character types. +\begin{l3regex-syntax} + \item[.] A single period matches any token. + \item[\\d] Any decimal digit. + \item[\\h] Any horizontal space character, + equivalent to |[\ \^^I]|: space and tab. + \item[\\s] Any space character, + equivalent to |[\ \^^I\^^J\^^L\^^M]|. + \item[\\v] Any vertical space character, + equivalent to |[\^^J\^^K\^^L\^^M]|. Note that |\^^K| is a vertical space, + but not a space, for compatibility with Perl. + \item[\\w] Any word character, \emph{i.e.}, + alphanumerics and underscore, equivalent to the explicit + class |[A-Za-z0-9\_]|. + \item[\\D] Any token not matched by |\d|. + \item[\\H] Any token not matched by |\h|. + \item[\\N] Any token other than the |\n| character (hex 0A). + \item[\\S] Any token not matched by |\s|. + \item[\\V] Any token not matched by |\v|. + \item[\\W] Any token not matched by |\w|. +\end{l3regex-syntax} +Of those, |.|, |\D|, |\H|, |\N|, |\S|, |\V|, and |\W| match arbitrary +control sequences. + +Character classes match exactly one token in the subject. +\begin{l3regex-syntax} + \item[{[\ldots{}]}] Positive character class. + Matches any of the specified tokens. + \item[{[\char`\^\ldots{}]}] Negative character class. + Matches any token other than the specified characters. + \item[{x-y}] Within a character class, this denotes a range (can be + used with escaped characters). + \item[{[:\meta{name}:]}] Within a character class (one more set of + brackets), this denotes the \textsc{posix} character class + \meta{name}, which can be \texttt{alnum}, \texttt{alpha}, + \texttt{ascii}, \texttt{blank}, \texttt{cntrl}, \texttt{digit}, + \texttt{graph}, \texttt{lower}, \texttt{print}, \texttt{punct}, + \texttt{space}, \texttt{upper}, \texttt{word}, or \texttt{xdigit}. + \item[{[:\char`\^\meta{name}:]}] Negative \textsc{posix} character class. +\end{l3regex-syntax} +For instance, |[a-oq-z\cC.]| matches any lowercase latin letter +except |p|, as well as control sequences (see below for a description +of |\c|). + +In character classes, only |[|, |^|, |-|, |]|, |\| and spaces are +special, and should be escaped. Other non-alphanumeric characters can +still be escaped without harm. Any escape sequence which matches a +single character (|\d|, |\D|, \emph{etc.}) is supported in character +classes. If the first character is |^|, then +the meaning of the character class is inverted; |^| appearing anywhere +else in the range is not special. If the first character (possibly +following a leading |^|) is |]| then it does not need to be escaped +since ending the range there would make it empty. +Ranges of characters +can be expressed using |-|, for instance, |[\D 0-5]| and |[^6-9]| are +equivalent. + +\subsection{Structure: Alternatives, Groups, Repetitions} + +Quantifiers (repetition). +\begin{l3regex-syntax} + \item[?] $0$ or $1$, greedy. + \item[??] $0$ or $1$, lazy. + \item[*] $0$ or more, greedy. + \item[*?] $0$ or more, lazy. + \item[+] $1$ or more, greedy. + \item[+?] $1$ or more, lazy. + \item[\{$n$\}] Exactly $n$. + \item[\{$n,$\}] $n$ or more, greedy. + \item[\{$n,$\}?] $n$ or more, lazy. + \item[\{$n,m$\}] At least $n$, no more than $m$, greedy. + \item[\{$n,m$\}?] At least $n$, no more than $m$, lazy. +\end{l3regex-syntax} +For greedy quantifiers the regex code will first investigate matches +that involve as many repetitions as possible, while for lazy +quantifiers it investigates matches with as few repetitions as +possible first. + +Alternation and capturing groups. +\begin{l3regex-syntax} + \item[A\char`|B\char`|C] Either one of \texttt{A}, \texttt{B}, + or \texttt{C}, investigating \texttt{A} first. + \item[(\ldots{})] Capturing group. + \item[(?:\ldots{})] Non-capturing group. + \item[(?\char`|\ldots{})] Non-capturing group which resets + the group number for capturing groups in each alternative. + The following group is numbered with the first unused + group number. +\end{l3regex-syntax} + +Capturing groups are a means of extracting information about the +match. Parenthesized groups are labelled in the order of their +opening parenthesis, starting at $1$. The contents of those groups +corresponding to the \enquote{best} match (leftmost longest) +can be extracted and stored in a sequence of token lists using for +instance \cs{RegexExtractOnceTF}. + +The |\K| escape sequence resets the beginning of the match to the +current position in the token list. This only affects what is reported +as the full match. For instance, +\begin{codehigh} +\RegexExtractAll {a \K .} {a123aaxyz} \lFooSeq +\end{codehigh} +results in \cs{lFooSeq} containing the items |{1}| and |{a}|: the +true matches are |{a1}| and |{aa}|, but they are trimmed by the use of +|\K|. The |\K| command does not affect capturing groups: for instance, +\begin{codehigh} +\RegexExtractOnce {(. \K c)+ \d} {acbc3} \lFooSeq +\end{codehigh} +results in \cs{lFooSeq} containing the items |{c3}| and |{bc}|: the +true match is |{acbc3}|, with first submatch |{bc}|, but |\K| resets +the beginning of the match to the last position where it appears. + +\subsection{Matching Exact Tokens} + +The |\c| escape sequence allows to test the category code of tokens, +and match control sequences. Each character category is represented +by a single uppercase letter: +\begin{itemize} +\item |C| for control sequences; +\item |B| for begin-group tokens; +\item |E| for end-group tokens; +\item |M| for math shift; +\item |T| for alignment tab tokens; +\item |P| for macro parameter tokens; +\item |U| for superscript tokens (up); +\item |D| for subscript tokens (down); +\item |S| for spaces; +\item |L| for letters; +\item |O| for others; and +\item |A| for active characters. +\end{itemize} +The |\c| escape sequence is used as follows. +\begin{l3regex-syntax} + \item[\\c\Arg{regex}] A control sequence whose csname matches the + \meta{regex}, anchored at the beginning and end, so that |\c{begin}| + matches exactly \cs[no-index]{begin}, and nothing else. + \item[\\cX] Applies to the next object, which can be a character, + escape character sequence such as |\x{0A}|, character class, or + group, and forces this object to only match tokens with category + |X| (any of |CBEMTPUDSLOA|. For instance, |\cL[A-Z\d]| matches + uppercase letters and digits of category code letter, |\cC.| + matches any control sequence, and |\cO(abc)| matches |abc| where + each character has category other.\footnote{This last example also + captures \enquote{\texttt{abc}} as a regex group; to avoid this + use a non-capturing group \texttt{\textbackslash cO(?:abc)}.} + \item[{\\c[XYZ]}] Applies to the next object, and forces it to only + match tokens with category |X|, |Y|, or |Z| (each being any of + |CBEMTPUDSLOA|). For instance, |\c[LSO](..)| matches two tokens of + category letter, space, or other. + \item[{\\c[\char`\^XYZ]}] Applies to the next object and prevents it + from matching any token with category |X|, |Y|, or |Z| (each being + any of |CBEMTPUDSLOA|). For instance, |\c[^O]\d| matches digits + which have any category different from other. +\end{l3regex-syntax} +The category code tests can be used inside classes; for instance, +|[\cO\d \c[LO][A-F]]| matches what \TeX{} considers as hexadecimal +digits, namely digits with category other, or uppercase letters from +|A| to |F| with category either letter or other. Within a group +affected by a category code test, the outer test can be overridden by +a nested test: for instance, |\cL(ab\cO\*cd)| matches |ab*cd| where +all characters are of category letter, except |*| which has category +other. + +The |\u| escape sequence allows to insert the contents of a token list +directly into a regular expression or a replacement, avoiding the need +to escape special characters. Namely, |\u|\Arg{var name} matches +the exact contents (both character codes and category codes) of the +variable \cs[no-index]{\meta{var name}}. %, +%which are obtained by applying \cs{exp_not:v} \Arg{var name} at the +%time the regular expression is compiled. +Within a |\c{...}| +control sequence matching, the |\u| escape sequence only expands its +argument once. %, in effect performing \cs{tl_to_str:v}. +Quantifiers are supported. + +The |\ur| escape sequence allows to insert the contents of a |regex| +variable into a larger regular expression. For instance, +|A\ur{lTmpaRegex}D| matches the tokens |A| and |D| separated by +something that matches the regular expression +\cs{lTmpaRegex}. This behaves as if a non-capturing group +were surrounding \cs{lTmpaRegex}, and any group contained +in \cs{lTmpaRegex} is converted to a non-capturing group. +Quantifiers are supported. + +For instance, if \cs{lTmpaRegex} has value \verb"B|C", +then |A\ur{l_tmpa_regex}D| is equivalent to \verb"A(?:B|C)D" (matching +|ABD| or |ACD|) and not to \verb"AB|CD" (matching |AB| or |CD|). To +get the latter effect, it is simplest to use \TeX{}'s expansion +machinery directly: if \cs{lTmpaTl} contains +\verb"B|C" then the following two lines show the same result: +\begin{codehigh} +\RegexShow {A \u{lTmpaTl} D} +\RegexShow {A B | C D} +\end{codehigh} + +\subsection{Miscellaneous} + +Anchors and simple assertions. +\begin{l3regex-syntax} + \item[\\b] Word boundary: either the previous token is matched by + |\w| and the next by |\W|, or the opposite. For this purpose, + the ends of the token list are considered as |\W|. + \item[\\B] Not a word boundary: between two |\w| tokens + or two |\W| tokens (including the boundary). + \item[\char`^ \textrm{or} \\A] + Start of the subject token list. + \item[\char`$\textrm{,} \\Z \textrm{or} \\z] %^^A $ + End of the subject token list. + \item[\\G] Start of the current match. This is only different from |^| + in the case of multiple matches: for instance + |\RegexCount {\G a} {aaba} \lTmpaInt| yields $2$, but + replacing |\G| by |^| would result in \cs{lTmpaInt} holding the + value $1$. +\end{l3regex-syntax} + +The option |(?i)| makes the match case insensitive (identifying +\texttt{A}--\texttt{Z} with \texttt{a}--\texttt{z}; no Unicode support +yet). This applies until the end of the group in which it appears, and +can be reverted using |(?-i)|. For instance, in +\verb"(?i)(a(?-i)b|c)d", the letters |a| and |d| are affected by the +|i| option. Characters within ranges and classes are affected +individually: |(?i)[Y-\\]| is equivalent to |[YZ\[\\yz]|, and +|(?i)[^aeiou]| matches any character which is not a vowel. Neither +character properties, nor |\c{...}| nor |\u{...}| are affected by the +|i| option. +%^^A \] + +\section{Syntax of the Replacement Text} + +Most of the features described in regular expressions do not make +sense within the replacement text. Backslash introduces various +special constructions, described further below: +\begin{itemize} + \item |\0| is the whole match; + \item |\1| is the submatch that was matched by the first (capturing) + group |(...)|; similarly for |\2|, \ldots{}, |\9| and + |\g{|\meta{number}|}|; + \item \verb*|\ | inserts a space (spaces are ignored when not + escaped); + \item |\a|, |\e|, |\f|, |\n|, |\r|, |\t|, |\xhh|, |\x{hhh}| + correspond to single characters as in regular expressions; + \item |\c|\Arg{cs name} inserts a control sequence; + \item |\c|\meta{category}\meta{character} (see below); + \item |\u|\Arg{tl var name} inserts the contents of the + \meta{tl var} (see below). +\end{itemize} +Characters other than backslash and space are simply inserted in the +result (but since the replacement text is first converted to a string, +one should also escape characters that are special for \TeX{}, for +instance use |\#|). Non-alphanumeric characters can always be safely +escaped with a backslash. + +For instance, +\begin{demohigh} +\TlSet \lTmpaTl {Hello, world!} +\RegexReplaceAll {([er]?l|o) .} {(\0--\1)} \lTmpaTl +\TlUse \lTmpaTl +\end{demohigh} + +The submatches are numbered according to the order in which the +opening parenthesis of capturing groups appear in the regular +expression to match. The $n$-th submatch is empty if there are fewer +than $n$ capturing groups or for capturing groups that appear in +alternatives that were not used for the match. In case a capturing +group matches several times during a match (due to quantifiers) only +the last match is used in the replacement text. Submatches always keep +the same category codes as in the original token list. + +By default, the category code of characters inserted by the +replacement are determined by the prevailing category code regime at +the time where the replacement is made, with two exceptions: +\begin{itemize} +\item space characters (with character code $32$) inserted with + \verb*|\ | or |\x20| or |\x{20}| have category code $10$ regardless + of the prevailing category code regime; +\item if the category code would be $0$ (escape), $5$ (newline), + $9$ (ignore), $14$ (comment) or $15$ (invalid), it is replaced by + $12$ (other) instead. +\end{itemize} +The escape sequence |\c| allows to insert characters +with arbitrary category codes, as well as control sequences. +\begin{l3regex-syntax} +\item[\\cX(\ldots{})] Produces the characters \enquote{\ldots{}} with + category |X|, which must be one of |CBEMTPUDSLOA| as in regular + expressions. Parentheses are optional for a single character (which + can be an escape sequence). When nested, the innermost category + code applies, for instance |\cL(Hello\cS\ world)!| gives this text + with standard category codes. +\item[\\c\Arg{text}] Produces the control sequence with csname + \meta{text}. The \meta{text} may contain references to the + submatches |\0|, |\1|, and so on, as in the example for |\u| below. +\end{l3regex-syntax} + +The escape sequence |\u|\Arg{var name} allows to insert the +contents of the variable with name \meta{var name} directly into +the replacement, giving an easier control of category codes. When +nested in |\c{|\ldots{}|}| and |\u{|\ldots{}|}| constructions, the +|\u| and |\c| escape sequences %perform \cs{tl_to_str:v}, namely +extract the value of the control sequence and turn it into a string. +Matches can also be used within the arguments of |\c| and |\u|. For +instance, +\begin{demohigh} +\TlSet \lMyOneTl {first} +\TlSet \lMyTwoTl {\underline{second}} +\TlSet \lTmpaTl {One,Two,One,One} +\RegexReplaceAll {[^,]+} {\u{lMy\0Tl}} \lTmpaTl +\TlUse \lTmpaTl +\end{demohigh} + +Regex replacement is also a convenient way to produce token lists +with arbitrary category codes. For instance +\begin{codehigh} +\TlClear \lTmpaTl +\RegexReplaceAll { } {\cU\% \cA\~} \lTmpaTl +\end{codehigh} +results in \cs{lTmpaTl} containing the percent character +with category code $7$ (superscript) and an active tilde character. + \chapter{Token Manipulation (\texttt{Token})} \begin{function}{\CharLowercase,\CharUppercase,\CharTitlecase,\CharFoldcase} diff --git a/macros/latex/contrib/hyperref/ChangeLog.txt b/macros/latex/contrib/hyperref/ChangeLog.txt index b7223f7530..e2d01e4e55 100644 --- a/macros/latex/contrib/hyperref/ChangeLog.txt +++ b/macros/latex/contrib/hyperref/ChangeLog.txt @@ -1,3 +1,33 @@ +2022-05-13 Ulrike Fischer/David Carlisle + + * added new interface for package authors to create targets for internal + links + * allow to suppress sectioning and footnote patches of hyperref + * removed loading of memhfixc: memoir handles that now by itself. + * removed an old patch for KOMA before 2001 + * removed compability code for pdftex 1.14 + * remove a test for amsmath before 1999 + * removed an since 2002 unneeded definition for subfigure + * various patches in nameref can now be disabled by package authors + by defining a command. + * the experimental option localanchorname has been deprecated + * LaTeX 2020-10-01 is required as hooks are used now. + * \refstepcounter no longer tests for the slide counter as no reason could be found + for that test. + * nameref no longer patches \ifthenelse if kernel support is detected. + * some support for references is done by tex4ht directly and has been removed from + hyperref + * unified reference commands, both nameref and hyperref now support + \ref, \pageref, \Ref, \nameref and \ref*, \pageref*, \Ref*, \nameref* + * removed older varioref code, a varioref newer than 2019 is now needed. + * improved support for showkeys. + * \theHequation is always defined (an not only if the section + counter is defined) + * Removed the \contentsline tests, no longer needed as \contentsline + has now four arguments also in latex. + * \MakeUppercase and \MakeLowercase work now in bookmarks if the expl3 + support is detected. + 2022-02-21 Ulrike Fischer/David Carlisle * a pdftex version newer than 1.10 (from 2003) is assumed * removed tests for numexpr/dimexpr: etex is now required diff --git a/macros/latex/contrib/hyperref/README.md b/macros/latex/contrib/hyperref/README.md index 4198cf7be1..994e8f8473 100644 --- a/macros/latex/contrib/hyperref/README.md +++ b/macros/latex/contrib/hyperref/README.md @@ -1,6 +1,6 @@ # README for hyperref bundle -Version 2022-02-21 v7.00n +Version 2022-05-13 v7.00o ## INTRODUCTION diff --git a/macros/latex/contrib/hyperref/backref.dtx b/macros/latex/contrib/hyperref/backref.dtx index 3fe08479a5..f6dda3d569 100644 --- a/macros/latex/contrib/hyperref/backref.dtx +++ b/macros/latex/contrib/hyperref/backref.dtx @@ -3,7 +3,7 @@ %% Copyright (C) 1995-2000 David Carlisle, Sebastian Rahtz, Heiko Oberdiek %% 2001-2012 Heiko Oberdiek %% 2016-2019 Oberdiek Package Suport Group -%% 2019-2021 The LaTeX Project +%% 2019-2022 The LaTeX Project %% https://github.com/latex3/hyperref/issues %% %% This file is part of the `Hyperref Bundle'. diff --git a/macros/latex/contrib/hyperref/doc/backref.pdf b/macros/latex/contrib/hyperref/doc/backref.pdf index 78db41ad2f..6a14072d67 100644 Binary files a/macros/latex/contrib/hyperref/doc/backref.pdf and b/macros/latex/contrib/hyperref/doc/backref.pdf differ diff --git a/macros/latex/contrib/hyperref/doc/hyperref-doc.css b/macros/latex/contrib/hyperref/doc/hyperref-doc.css index 8f8b11fa47..4586a1cd3a 100644 --- a/macros/latex/contrib/hyperref/doc/hyperref-doc.css +++ b/macros/latex/contrib/hyperref/doc/hyperref-doc.css @@ -291,6 +291,7 @@ table[rules] {border-left:solid black 0.4pt; border-right:solid black 0.4pt; } table.longtable{border-collapse: collapse; border-spacing: 0;} div.longtable{text-align:center;} table.longtable{margin-left:auto; margin-right: auto;} +caption.longtable .id{font-weight:bold;} span.HoLogo-LaTeX span.HoLogo-a{position:relative;top:-.5ex;margin-left:-.36em;margin-right:-.15em;font-size:85%;} span.HoLogo-TeX span.HoLogo-e{position:relative;top:.5ex;margin-left:-.1667em;margin-right:-.125em;} a span.HoLogo-TeX span.HoLogo-e{text-decoration:none;} diff --git a/macros/latex/contrib/hyperref/doc/hyperref-doc.html b/macros/latex/contrib/hyperref/doc/hyperref-doc.html index 2990eb08ba..a5b09ee82c 100644 --- a/macros/latex/contrib/hyperref/doc/hyperref-doc.html +++ b/macros/latex/contrib/hyperref/doc/hyperref-doc.html @@ -25,7 +25,7 @@ href="https://github.com/latex3/hyperref/issues" class="url" >https://github.com/latex3/hyperref/issues)

2022-02-21 v7.00n
+class="ec-lmr-12">2022-05-13 v7.00o

Contents

@@ -44,171 +44,267 @@ href="#x1-60004" id="QQ2-1-6">Interfaces for class and package authorsCounters
  4.2 Links commands +
  4.3 Creating targets +
  4.4 Patches and how to suppress them
 5 Package options +href="#x1-110005" id="QQ2-1-11">Package options
  5.1 General options +href="#x1-120005.1" id="QQ2-1-12">General options
  5.2 Options for destination names +href="#x1-130005.2" id="QQ2-1-13">Options for destination names
  5.3 Configuration options +href="#x1-140005.3" id="QQ2-1-14">Configuration options
  5.4 Backend drivers +href="#x1-150005.4" id="QQ2-1-15">Backend drivers
  5.5 Extension options +href="#x1-160005.5" id="QQ2-1-16">Extension options
  5.6 PDF-specific display options +href="#x1-170005.6" id="QQ2-1-17">PDF-specific display options
  5.7 PDF display and information options +href="#x1-180005.7" id="QQ2-1-18">PDF display and information options
  5.8 Option Option pdfinfo
  5.9 Big alphabetical list +href="#x1-200005.9" id="QQ2-1-20">Big alphabetical list
 6 Additional user macros +href="#x1-210006" id="QQ2-1-21">Additional user macros
  6.1 Bookmark macros +href="#x1-220006.1" id="QQ2-1-22">Bookmark macros +
   6.1.1 Setting bookmarks +
   6.1.2 Replacement macros
  6.2 Pagelabels +href="#x1-250006.2" id="QQ2-1-25">Pagelabels
  6.3 Utility macros +href="#x1-260006.3" id="QQ2-1-26">Utility macros
 7 New Features +href="#x1-270007" id="QQ2-1-27">New Features
  7.1 Option ‘pdflinkmargin’ +href="#x1-280007.1" id="QQ2-1-28">Option ‘pdflinkmargin’
  7.2 Field option ‘calculatesortkey’ +href="#x1-290007.2" id="QQ2-1-29">Field option ‘calculatesortkey’
  7.3 Option ‘next-anchor’ +href="#x1-300007.3" id="QQ2-1-30">Option ‘next-anchor’
  7.4 Option ‘localanchorname’ +href="#x1-310007.4" id="QQ2-1-31">Option ‘localanchorname’
  7.5 Option ‘customdriver’ +href="#x1-320007.5" id="QQ2-1-32">Option ‘customdriver’
  7.6 Option ‘psdextra’ +href="#x1-330007.6" id="QQ2-1-33">Option ‘psdextra’
  7.7 \XeTeXLinkBox +href="#x1-340007.7" id="QQ2-1-34">\XeTeXLinkBox + +
  7.8 \IfHyperBooleanExists and \IfHyperBoolean +href="#x1-350007.8" id="QQ2-1-35">\IfHyperBooleanExists and \IfHyperBoolean
  7.9 \unichar - +href="#x1-360007.9" id="QQ2-1-36">\unichar
  7.10 \ifpdfstringunicode +href="#x1-370007.10" id="QQ2-1-37">\ifpdfstringunicode
  7.11 Customizing index style file with \nohyperpage +href="#x1-380007.11" id="QQ2-1-38">Customizing index style file with \nohyperpage
  7.12 Experimental option ‘ocgcolorlinks’ +href="#x1-390007.12" id="QQ2-1-39">Experimental option ‘ocgcolorlinks’
  7.13 Option ‘pdfa’ +href="#x1-400007.13" id="QQ2-1-40">Option ‘pdfa’
  7.14 Option ‘linktoc’ added +href="#x1-410007.14" id="QQ2-1-41">Option ‘linktoc’ added
  7.15 Option ‘pdfnewwindow’ changed +href="#x1-420007.15" id="QQ2-1-42">Option ‘pdfnewwindow’ changed
  7.16 Flag options for PDF forms +href="#x1-430007.16" id="QQ2-1-43">Flag options for PDF forms
  7.17 Option ‘pdfversion’ +href="#x1-440007.17" id="QQ2-1-44">Option ‘pdfversion’
  7.18 Field option ‘name’ +href="#x1-450007.18" id="QQ2-1-45">Field option ‘name’
  7.19 Option ‘pdfencoding’ +href="#x1-460007.19" id="QQ2-1-46">Option ‘pdfencoding’
  7.20 Color options/package hycolor +href="#x1-470007.20" id="QQ2-1-47">Color options/package hycolor
  7.21 Option pdfusetitle +href="#x1-480007.21" id="QQ2-1-48">Option pdfusetitle
  7.22 Starred form of \autoref +href="#x1-490007.22" id="QQ2-1-49">Starred form of \autoref
  7.23 Link border style +href="#x1-500007.23" id="QQ2-1-50">Link border style
  7.24 Option Option bookmarksdepth
  7.25 Option Option pdfescapeform
  7.26 Default driver setting +href="#x1-530007.26" id="QQ2-1-53">Default driver setting
  7.27 Backref entries +href="#x1-540007.27" id="QQ2-1-54">Backref entries
  7.28 \phantomsection +href="#x1-550007.28" id="QQ2-1-55">\phantomsection
  7.29 puenc encoding, puenc-greek.def and puenc-extra.def +href="#x1-560007.29" id="QQ2-1-56">puenc encoding, puenc-greek.def and puenc-extra.def
 8 Acrobat-specific behavior +href="#x1-570008" id="QQ2-1-57">Acrobat-specific behavior
 9 PDF and HTML forms +href="#x1-580009" id="QQ2-1-58">PDF and HTML forms
  9.1 Forms environment parameters +href="#x1-590009.1" id="QQ2-1-59">Forms environment parameters
  9.2 Forms optional parameters +href="#x1-600009.2" id="QQ2-1-60">Forms optional parameters
 10 Defining a new driver +href="#x1-6100010" id="QQ2-1-61">Defining a new driver
 11 Special support for other packages +href="#x1-6200011" id="QQ2-1-62">Special support for other packages
  11.1 Package Compatibility +href="#x1-6300011.1" id="QQ2-1-63">Package Compatibility +
   11.1.1 algorithm +
   11.1.2 amsmath +
   11.1.3 amsrefs +
   11.1.4 arydshln, longtable +
   11.1.5 babel/magyar.ldf +
   11.1.6 babel/spanish.ldf +
   11.1.7 bibentry +
   11.1.8 bigfoot +
   11.1.9 chappg +
   11.1.10 cite +
   11.1.11 count1to +
   11.1.12 dblaccnt +
   11.1.13 easyeqn +
   11.1.14 ellipsis +
   11.1.15 float +
   11.1.16 endnotes +
   11.1.17 foiltex +
   11.1.18 footnote +
   11.1.19 geometry +
   11.1.20 IEEEtran.cls +
   11.1.21 index +
   11.1.22 lastpage +
   11.1.23 linguex + +
   11.1.24 ltabptch +
   11.1.25 mathenv +
   11.1.26 minitoc-hyper +
   11.1.27 multind +
   11.1.28 natbib +
   11.1.29 nomencl +
   11.1.30 ntheorem-hyper +
   11.1.31 parskip +
   11.1.32 prettyref +
   11.1.33 setspace +
   11.1.34 sidecap +
   11.1.35 subfigure +
   11.1.36 titleref +
   11.1.37 tabularx +
   11.1.38 titlesec +
   11.1.39 ucs/utf8x.def +
   11.1.40 varioref +
   11.1.41 verse +
   11.1.42 vietnam +
   11.1.43 XeTeX
 12 Limitations +href="#x1-10700012" id="QQ2-1-107">Limitations
  12.1 Wrapped/broken link support +href="#x1-10800012.1" id="QQ2-1-108">Wrapped/broken link support
  12.2 Links across pages +href="#x1-10900012.2" id="QQ2-1-109">Links across pages
  12.3 Footnotes +href="#x1-11000012.3" id="QQ2-1-110">Footnotes
 13 Hints +href="#x1-11100013" id="QQ2-1-111">Hints
  13.1 Spaces in option values +href="#x1-11200013.1" id="QQ2-1-112">Spaces in option values
  13.2 Index with makeindex +href="#x1-11300013.2" id="QQ2-1-113">Index with makeindex
  13.3 Warning Warning "bookmark level for unknown <foobar> defaults to 0"
  13.4 Link anchors in figures +href="#x1-11500013.4" id="QQ2-1-115">Link anchors in figures
  13.5 Additional unicode characters in bookmarks and pdf information entries: +href="#x1-11600013.5" id="QQ2-1-116">Additional unicode characters in bookmarks and pdf information entries:
  13.6 Footnotes +href="#x1-11700013.6" id="QQ2-1-117">Footnotes
  13.7 Subordinate counters +href="#x1-11800013.7" id="QQ2-1-118">Subordinate counters
 14 History and acknowledgments +href="#x1-11900014" id="QQ2-1-119">History and acknowledgments
 15 GNU Free Documentation License +href="#x1-12000015" id="QQ2-1-120">GNU Free Documentation License
  15.1 Applicability and definitions +href="#x1-12200015.1" id="QQ2-1-122">Applicability and definitions
  15.2 Verbatim copying +href="#x1-12300015.2" id="QQ2-1-123">Verbatim copying
  15.3 Copying in quantity +href="#x1-12400015.3" id="QQ2-1-124">Copying in quantity
  15.4 Modifications +href="#x1-12500015.4" id="QQ2-1-125">Modifications
  15.5 Combining documents +href="#x1-12600015.5" id="QQ2-1-126">Combining documents
  15.6 Collections of documents +href="#x1-12700015.6" id="QQ2-1-127">Collections of documents
  15.7 Aggregation with independent works +href="#x1-12800015.7" id="QQ2-1-128">Aggregation with independent works
  15.8 Translation +href="#x1-12900015.8" id="QQ2-1-129">Translation
  15.9 Termination +href="#x1-13000015.9" id="QQ2-1-130">Termination
  15.10 Future revisions of this license +href="#x1-13100015.10" id="QQ2-1-131">Future revisions of this license + -

1 Preface—February 2022

As can be already seen in the following introduction, hyperref has a long history and has seen many changes over time. The introduction mentions workflows, drivers and problems which are no -longer relevant, or only in edge cases. The documentation reflect this varied history: changes +longer relevant, or only in edge cases. The documentation reflects this varied history: changes and extensions and explanations were and are spread over various papers and sources and only incorporated later and so are not always in a coherent order and in sync which each other. @@ -232,8 +328,8 @@ too. id="x1-30001.1">Restoring removed patches

hyperref has over time patched quite a number of packages to resolve clashes and incompabilities. Quite a -number are either no longer needed or should be done by by the original packages. These patches are -now slowly removed from hyperref. It should normally not lead to problems, but in case that the patches should be restored they can be loaded through the package hyperref-patches which is a part of this @@ -272,11 +368,11 @@ where you will find additional examples.

The HyperTEX specification2 - - says that conformant viewers/translators must recognize the following set of \special constructs:

+ +

href:

zTEX, and Textures) +class="ec-lmss-10">Textures) +

@@ -549,47 +646,48 @@ document.

4 Interfaces for class and package authors

hyperlink features are nowadays a common requirement. hyperref patches quite a number of commands -from the LaTeX core and from packages to add such features. But this is rather fragile and it add -dependencies on the loading order and can break if the external packages break. It is therefore much -better if packages add suitable support to their commands directly. Quite a lot packages actually did -this, but due to missing documentation of the interface they often looked into the code and then used -internal commands not meant as public command. +class="ec-lmss-10">hyperref patches quite a number of +commands from the LaTeX core and from packages to add such features. But this is rather +fragile and it add dependencies on the loading order and can break if the external packages +changes. It is therefore much better if packages add suitable support to their commands +directly. Quite a lot packages actually did this, but due to missing documentation of the +interface they often looked into the code and then used internal commands not meant as public +command.

The following tries to describe the existing variables and commands that can be viewed as public interfaces or which should or can be set by packages to stay compatible with the hyperref command. Documented user commands are naturally interfaces too, they are not explicitly mentioned here again.

This section is work in progress. Suggestions or comments are welcome. -

+

4.1 Counters

-

Counters play an important part in the code. They are used to create destination names and to +

Counters play an important part in the code. They are used to create destination names and to define hierarchies like the bookmarks. To work correctly often they require some additional setups. -

+

-

+

\theH<counter>

-

hyperref creates destination names for link anchor typically out of the name of the counter and the \the<counter> value. This can fail, e.g. if \the<counter> is not unique through the document, or if it is not expandable. In such cases \theH<counter> should be defined so + that it gives a unique, expandable value. It doesn’t harm to define it even if hyperref is not - loaded. - + loaded.

-

+

\toclevel@<counter>

-

This is a variable which should contain a number. It is used for the level in the bookmarks. +

This is a variable which should contain a number. It is used for the level in the bookmarks. It should be defined for all counters which are used in toc like lists and \addcontentsline. Typical values are @@ -605,12 +703,12 @@ class="ec-lmvtt-10">\addcontentsline. \def\toclevel@subparagraph{5} \def\toclevel@figure{0} -

+

-

+

4.2 Links commands

-

The following commands are provided by all drivers to create links. They can be used by packages if the +

The following commands are provided by all drivers to create links. They can be used by packages if the user commands are not sufficient. New drivers must provide this commands with similar arguments. @@ -627,11 +725,161 @@ arguments.  \hyper@linklaunch{filename} {link text} {Parameters}  %Launch, only with new generic driver  \hyper@linknamed {action}{link text}                  %Named, only with new generic driver -

+

+

4.3 Creating targets

+

Internal links and bookmarks need something they can jump to. In a PDF this is normally called a +destination (and the primitive is therefor called \pdfdest), in HTML it is more common to call this an +anchor (and the hyperref uses therefor \hyper@anchor). History can not be undone but future +commands and descriptions will use the generic target unless the PDF specific destination is +meant. +

Targets are created automatically when \refstepcounter is used and in many cases this does the right +thing and nothing more is needed. But there are exceptions: +

    +
  • +

    A needed target can be missing for example if a sectioning command doesn’t have a number + as the starred version is used or due to the setting of secnumdepth. +

  • +
  • +

    The target created by the \refstepcounter can be in the wrong place. +

  • +
  • +

    The target created by the \refstepcounter can affect spacing. +

  • +
  • +

    The target name created by the \refstepcounter is not usable, e.g. in \bibitem where you + need a target name bases on the bib-key.

+

Package authors and users can use the following commands to create and manipulate targets. The +commands are described in more detail in hyperref-linktarget.pdf. + + +

+ \MakeLinkTarget
+ \LinkTargetOff
+ \LinkTargetOn
+ \NextLinkTarget
+ \SetLinkTargetFilter
+
+

+

The first four commands will be defined also in LaTeX directly as no-op and so can be used even if +hyperref is not loaded. +

Until LaTeX is updated package authors can also provide these definitions directly: + + +

+\ProvideDocumentCommand\MakeLinkTarget{sO{}m}{}
+\ProvideDocumentCommand\LinkTargetOn{}{}
+\ProvideDocumentCommand\LinkTargetOff{}{}
+\ProvideDocumentCommand\NextLinkTarget{m}{}
+
+

+

+

4.4 Patches and how to suppress them

+

The patches to external commands made by hyperref can be avoided in toto by loading hyperref with the +option implicit=false. But suppressing everything is often too drastic. There is a work in +progress to classify the patches and to offer interfaces to suppress them in a more granular +way. +

+

+

+sectioning commands

+

+

    +
  • +

    hyperref patches \@sect, \@ssect, \@chapter, \@schapter, \@part, \@spart. +

  • +
  • +

    It adds to the starred commands a target for a link (with the prefix chapter* for + chapters and section* otherwise). To the other commands it adds a target for a link if + the sectioning is unnumbered, e.g. because of the secnumdepth setting or in the front + matter. +

  • +
  • +

    The patch can be suppressed by defining the command \hyper@nopatch@sectioning. + This should normally be done only by a class or a package which provides sectioning + commands and adds the targets itself. Targets have a location on the page and e.g. the + section commands should take indents into account. Targets are needed for bookmarks + and the table of contents, so \@currentHref should get the correct meaning before + \addcontentsline is used. +

  • +
  • +

    Note that the nameref package patches these commands too to add commands to store + the title text in \@currentlabelname. Check the nameref documentation about a way + to suppress these patches.

+
+

+footnotes

+ +

To enable (partly) the linking of footnotes hyperref redefines or patches various commands, in part + package dependant. +

    +
  • +

    hyperref redefines \@xfootnotenext, \@xfootnotemark, + \@mpfootnotetext, \@footnotetext, \@footnotemark. If tabularx is loaded it changes + \TX@endtabularx. If longtable is loaded it changes \LT@p@ftntext. If fancyvfb is + loaded it redefines \V@@footnotetext. It also redefines \footref and \maketitle. +

  • +
  • +

    All those redefinitions can be suppressed by defining \hyper@nopatch@footnote. Be + aware that this can suppress links but also make unwanted links appear.

+
+

5 Package options

-

All user-configurable aspects of Package options +

All user-configurable aspects of hyperref are set using a single ‘key=value’ scheme (using the keyval package) with the key \hypersetup macro. When the package is loaded, a file hyperref.cfg is read if it can be found, and this is a convenient place to set options on a site-wide basis. -

Note however that some options (for example

Note however that some options (for example unicode) can only be used as package options, and not in \hypersetup as the option settings are processed as the package is read. The following @@ -659,13 +907,13 @@ id="TBL-2-2"> option

remark +class="td11">

remark



all driver options, e.g. pdftex

often +class="td11">

often not needed, as @@ -679,7 +927,7 @@ class="ec-lmvtt-10">implicit style="vertical-align:baseline;" id="TBL-2-4-"> pdfa

no-op +class="td11">

no-op with new pdfmanagement, @@ -693,7 +941,7 @@ class="ec-lmvtt-10">\DeclareDocumentMetadata. style="vertical-align:baseline;" id="TBL-2-5-"> unicode

is +class="td11">

is the default now @@ -702,7 +950,7 @@ class="td11">

is style="vertical-align:baseline;" id="TBL-2-6-"> pdfversion

no-op +class="td11">

no-op with new pdfmanagement, @@ -716,7 +964,7 @@ class="ec-lmvtt-10">\DeclareDocumentMetadata. style="vertical-align:baseline;" id="TBL-2-7-"> bookmarks

this +class="td11">

this will probably change @@ -727,55 +975,55 @@ class="td11">

this style="vertical-align:baseline;" id="TBL-2-8-"> backref

pagebackref

+class="td11">

destlabel

pdfusetitle

+class="td11">

pdfpagelabels

+class="td11">

hyperfootnotes

+class="td11">

hyperfigures

+class="td11">

hyperindex

+class="td11">

encap

+class="td11">

typexml

+class="td11">

CJKbookmarks

only +class="td11">

only with the new @@ -794,7 +1042,7 @@ class="ec-lmvtt-10">\hypersetup style="vertical-align:baseline;" id="TBL-2-19-"> psdextra

only +class="td11">

only with the new @@ -813,7 +1061,7 @@ class="ec-lmvtt-10">\hypersetup style="vertical-align:baseline;" id="TBL-2-20-"> nesting

only +class="td11">

only with the new @@ -839,72 +1087,72 @@ class="ec-lmvtt-10">\hypersetup use) +class="td11"> + - -

As an example, the behavior of a particular file could be controlled by: +

As an example, the behavior of a particular file could be controlled by:

  • -

    a site-wide

    a site-wide hyperref.cfg setting up the look of links, adding backreferencing, and setting a PDF display default: -

    +     
          \hypersetup{backref,
          pdfpagemode=FullScreen,
          colorlinks=true}
     
    -

    +

  • -

    A global option in the file, which is passed down to

    A global option in the file, which is passed down to hyperref: -

    +     
          \documentclass[dvips]{article}
     
    -

    +

  • -

    File-specific options in the

    File-specific options in the \usepackage commands, which override the ones set in hyperref.cfg: -

    +     
          \usepackage[colorlinks=false]{hyperref}
          \hypersetup{pdftitle={A Perfect Day}}
     
    -

-

As seen in the previous example, information entries (pdftitle, pdfauthor, …) should be set after the +

+

As seen in the previous example, information entries (pdftitle, pdfauthor, …) should be set after the package is loaded. Otherwise LaTeX expands the values of these options prematurely. Also LaTeX strips spaces in options. Especially option ‘pdfborder’ requires some care. Curly braces protect the value, if given as package option. They are not necessary in \hypersetup. -

+   
 \usepackage[pdfborder={0 0 0}]{hyperref}
 \hypersetup{pdfborder=0 0 0}
 
-

-

Some options can be given at any time, but many are restricted: before

+

Some options can be given at any time, but many are restricted: before \begin{document}, only in \usepackage[...]{hyperref}, before first use, etc. -

In the key descriptions that follow, many options do not need a value, as they default to the value +

In the key descriptions that follow, many options do not need a value, as they default to the value true if used. These are the ones classed as ‘boolean’. The values true and false can always be specified, however. -

+

5.1 General options

-

Firstly, the options to specify general behavior and page size. -

+ id="x1-120005.1">General options +

Firstly, the options to specify general behavior and page size. +

-

+

5.2 Options for destination names

-

Destinations names (also anchor, target or link names) are internal names that identify a position on a + id="x1-130005.2">Options for destination names +

Destinations names (also anchor, target or link names) are internal names that identify a position on a page in the document. They are used in link targets for inner document links or the bookmarks, for example. -

Usually anchor are set, if

Usually anchor are set, if \refstepcounter is called. Thus there is a counter name and value. Both are used to construct the destination name. By default the counter value follows the counter name separated by a dot. Example for the fourth chapter:

-

chapter.4

-

This scheme is used by: +

This scheme is used by:

-

+

\autoref

-

displays the description label for the reference depending on the counter name. +

displays the description label for the reference depending on the counter name.

-

+

\hyperpage

-

is used by the index to get page links. Page anchor setting (

is used by the index to get page links. Page anchor setting (pageanchor) must not be turned off.

-

It is very important that the destination names are unique, because two destinations must not share +

It is very important that the destination names are unique, because two destinations must not share the same name. The counter value \the<counter> is not always unique for the counter. For example, table and figures can be numbered inside the chapter without having the chapter number in their @@ -1027,7 +1275,7 @@ class="ec-lmvtt-10">table.2.4 is unique because it has used \theHtable that gives 2.4 in this case. -

Often the user do not need to set

Often the user do not need to set \theH<counter>. Defaults for standard cases (chapter, …) are provided. And after hyperref is loaded, new counters with parent counters also define \@addtoreset or \numberwithin of package amsmath are used. -

Usually problems with duplicate destination names can be solved by an appropriate definition of +

Usually problems with duplicate destination names can be solved by an appropriate definition of \theH<counter>. If option hypertexnames is disabled, then a unique artificial number is used instead of @@ -1047,11 +1295,11 @@ class="ec-lmvtt-10">plainpages the page anchors use the arabic form. In both latter cases \hyperpage for index links is affected and might not work properly. -

If an unnumbered entity gets an anchor (starred forms of chapters, sections, …) or

If an unnumbered entity gets an anchor (starred forms of chapters, sections, …) or \phantomsection is used, then the dummy counter name section* and an artificial unique number is used. -

If the final PDF file is going to be merged with another file, than the destination names might clash, +

If the final PDF file is going to be merged with another file, than the destination names might clash, because both documents might contain chapter.1 or page.1. Also -

+     
 \renewcommand*{\HyperDestNameFilter}[1]{\jobname-#1}
 
-

-

In document

+

In document docA the destination name chapter.2 becomes docA-chapter.2. -

Destination names can also be used from the outside in URIs(, if the driver has not removed or +

Destination names can also be used from the outside in URIs(, if the driver has not removed or changed them), for example:

-
+     
 http://somewhere/path/file.pdf#nameddest=chapter.4
 
-

-

However using a number seems unhappy. If another chapter is added before, the number changes. But it is +

+

However using a number seems unhappy. If another chapter is added before, the number changes. But it is very difficult to pass a new name for the destination to the anchor setting process that is usually deep hidden in the internals. The first name of \label after the anchor setting seems a good @@ -1091,12 +1339,12 @@ approximation:

-
+     
   \section{Introduction}
   \label{intro}
 
-

-

Option

+

Option destlabel checks for each \label, if there is a new destination name active and replaces the destination name by the label name. Because the destination name is already in use because of the @@ -1113,13 +1361,13 @@ class="ec-lmri-10">all destination names:

-
+     
 \renewcommand*{\HyperDestNameFilter}[1]{%
   \jobname-\HyperDestLabelReplace{#1}%
 }
 
-

-

The other case that only files prefixed that do not have a corresponding

+

The other case that only files prefixed that do not have a corresponding \label is more complicate, because \HyperDestLabelReplace needs the unmodified destination name as argument. This is solved by an @@ -1131,7 +1379,7 @@ LuaTEX):

-
+     
 \usepackage{pdftexcmds}
 \makeatletter
 \renewcommand*{\HyperDestNameFilter}[1]{%
@@ -1143,12 +1391,12 @@ LuaTEX):
 }
 \makeatother
 
-

-

With option

+

With option destlabel destinations can also named manually, if the destination is not yet renamed:

-

\HyperDestRename{destinationnewname}

-

Hint: Anchors can also be named and set by

Hint: Anchors can also be named and set by \hypertarget. -

+

-

+

5.3 Configuration options

-

+ id="x1-140005.3">Configuration options +

boolean @@ -1280,7 +1528,7 @@ class="td11"> boolean @@ -1292,7 +1540,7 @@ class="td11"> boolean +

Allows links to be nested; no drivers currently support this.

@@ -1309,35 +1557,35 @@ class="td11">
true -

In the hypertex driver, the height of links is normally +

In the hypertex driver, the height of links is normally calculated by the driver as simply the base line of contained text; this options forces \special commands to reflect the @@ -1266,7 +1514,7 @@ class="td11"> boolean

both -

This option is in hyperref only used in the dviwindo driver, +

This option is in hyperref only used in the dviwindo driver, in all other cases it doesn’t do anything sensible—it neither allows nor prevents links to be broken. The ocgx2 package checks the state of the boolean.

true -

Determines whether every page is given an implicit anchor +

Determines whether every page is given an implicit anchor at the top left corner. If this is turned off, \printindex will not contain valid hyperlinks.

false -

Allows links to be nested; no drivers currently support this.

-

Note for option

Note for option breaklinks: The correct value is automatically set according to the driver features. It can be overwritten for drivers that do not support broken links. However, at any case, the link area will be wrong and displaced. -

+

5.4 Backend drivers

-

If no driver is specified, the package tries to find a driver in the following order: + id="x1-150005.4">Backend drivers +

If no driver is specified, the package tries to find a driver in the following order:

  1. -

    Autodetection, some TeX processors can be detected at TeX macro level (pdfTeX, XeTeX, + class="enumerate" id="x1-15002x1"> +

    Autodetection, some TeX processors can be detected at TeX macro level (pdfTeX, XeTeX, VTeX).

  2. -

    Option +

    Option driverfallback. If this option is set, its value is taken as driver option.

  3. -

    Macro +

    Macro \Hy@defaultdriver. The macro takes a driver file name (without file extension).

  4. -

    Package default is +

    Package default is hypertex.

-

Many distributions are using a driver file

Many distributions are using a driver file hypertex.cfg that define \Hy@defaultdriver with hdvips. This @@ -1345,9 +1593,9 @@ is recommended because driver dvips provides much more features than hypertex for PDF generation. -

+

class="td01">driverfallback +

Its value is used as driver option

+

if the driver is not given or autodetected.

dvipdfm driver. < class="td01">dvipdfmx @@ -1386,7 +1634,7 @@ class="ec-lmss-10">dvipdfmx driver. < class="td01">dvips dvips driver. class="td01">dvipsone dvipsone driver. class="td01">dviwindo dviwindo Windows previewer. class="td01">hypertex pdftex program. ps2pdf dvips. class="td01">tex4ht VTeX; the PDF and HTML backends are detected class="td01">vtexpdfmark +

For use with XeTeX (using backend for dvipdfm).

@@ -1498,7 +1746,7 @@ class="td01"> class="td01">
-

Its value is used as driver option

-

if the driver is not given or autodetected.

dvipdfm -

Sets up

Sets up hyperref for use with the dvipdfm driver.

-

Sets up

Sets up hyperref for use with the dvipdfmx driver.

-

Sets up

Sets up hyperref for use with the dvips driver.

-

Sets up

Sets up hyperref for use with the dvipsone driver.

-

Sets up

Sets up hyperref for use with the dviwindo Windows previewer.

-

Sets up

Sets up hyperref for use with the HyperTeX-compliant drivers.

latex2html -

Redefines a few macros for compatibility with

Redefines a few macros for compatibility with latex2html.

nativepdf -

An alias for

An alias for dvips

pdfmark -

An alias for

An alias for dvips

pdftex -

Sets up

Sets up hyperref for use with the pdftex program.

-

Redefines a few macros for compatibility with Ghostscript’s PDF writer, +

Redefines a few macros for compatibility with Ghostscript’s PDF writer, otherwise identical to dvips.

-

For use with

For use with TeX4ht

textures -

For use with

For use with Textures

vtex -

For use with MicroPress’

For use with MicroPress’ VTeX; the PDF and HTML backends are detected automatically.

-

For use with

For use with VTeX’s PostScript backend.

xetex -

For use with XeTeX (using backend for dvipdfm).

-

If you use

If you use dviwindo, you may need to redefine the macro \wwwbrowser (the default is dviwindo what program to launch. Thus, users of Intern add something like this to hyperref.cfg: -

+   
 \renewcommand{\wwwbrowser}{C:\string\Program\space
   Files\string\Plus!\string\Microsoft\space
   Internet\string\iexplore.exe}
 
-

-

+

+

5.5 Extension options

-

+ id="x1-160005.5">Extension options +

extension +

+

Sets encap character for hyperindex

@@ -1654,7 +1902,7 @@ class="td11"> boolean +

Color for normal internal links.

+

Color for anchor text. Ignored by most drivers.

+

Color for bibliographical citations in text.

+

Color for URLs which open local files.

+

Color for Acrobat menu items.

+

Color for run links (launch annotations).

+

Color for linked URLs.

+

Use small caps instead of color for links.

+

Hide links (removing color and border).

@@ -1768,15 +2016,15 @@ class="td11">
text -

Set the file extension (e.g. 

Set the file extension (e.g. dvi) which will be appended to file links created if you use the xr @@ -1544,7 +1792,7 @@ class="ec-lmvtt-10">hyperfigures

boolean -

text false -

Adds ‘backlink’ text to the end of each item in the +

Adds ‘backlink’ text to the end of each item in the bibliography, as a list of section numbers. This can only work properly if there is a blank line after each @@ -1575,7 +1823,7 @@ class="td11"> boolean

false -

Adds ‘backlink’ text to the end of each item in the +

Adds ‘backlink’ text to the end of each item in the bibliography, as a list of page numbers.

boolean true -

Makes the page +

Makes the page numbers of index entries into hyperlinks. Relays on unique page anchors (pageanchor, …) boolean

true -

Makes the footnote marks into hyperlinks to the +

Makes the footnote marks into hyperlinks to the footnote text. Easily broken …

encap -

Sets encap character for hyperindex

text section -

make text (

make text (section), page number (page), both (all) @@ -1632,7 +1880,7 @@ class="td11"> boolean

false -

make page number, not text, be link on TOC, LOF +

make page number, not text, be link on TOC, LOF and LOT

boolean false -

allow links to break over lines by making links over +

allow links to break over lines by making links over multiple lines into PDF links to the same target

false -

Colors the text of links and anchors. The colors +

Colors the text of links and anchors. The colors chosen depend on the the type of link. At present the only types of link distinguished are citations, page references, URLs, local file references, and other @@ -1668,7 +1916,7 @@ class="td11"> color

red -

Color for normal internal links.

color black -

Color for anchor text. Ignored by most drivers.

color green -

Color for bibliographical citations in text.

color cyan -

Color for URLs which open local files.

color red -

Color for Acrobat menu items.

color filecolor -

Color for run links (launch annotations).

color magenta -

Color for linked URLs.

allcolors color -

Set all color options (without border and field +

Set all color options (without border and field options).

boolean false -

Use small caps instead of color for links.

hidelinks -

Hide links (removing color and border).

-

Note that all color names must be defined before use, following the normal system of the standard +

Note that all color names must be defined before use, following the normal system of the standard LaTeX color package. -

+

5.6 PDF-specific display options

-

+ id="x1-170005.6">PDF-specific display options +

boolean @@ -1822,7 +2070,7 @@ class="ec-lmvtt-10">bookmarksopenlevel +

to specify which ‘toc’ file to mimic

@@ -1879,7 +2127,7 @@ class="td11"> name @@ -1891,7 +2139,7 @@ class="td11"> RGB color +

The color of the box around citations

+

The color of the box around links to files

+

The color of the box around normal links

+

The color of the box around Acrobat menu links

+

The color of the box around links to URLs

+

Color of border around ‘run’ links

+

Set all border color options

true -

A set of Acrobat bookmarks are written, in a +

A set of Acrobat bookmarks are written, in a manner similar to the table of contents, requiring two passes of LaTeX. Some postprocessing of the bookmark file (file extension boolean

false -

If Acrobat bookmarks are requested, show them +

If Acrobat bookmarks are requested, show them with all the subtrees expanded.

parameter -

level (

level (\maxdimen) to which bookmarks are open

boolean false -

If Acrobat bookmarks are requested, include +

If Acrobat bookmarks are requested, include section numbers.

text toc -

to specify which ‘toc’ file to mimic

boolean false -

This option should be used to produce CJK +

This option should be used to produce CJK bookmarks. Package hyperref supports both normal and preprocessed mode of the CJK Acroread itself) support this. Also note that option ‘CJKbookmarks’ cannot be used together with option ‘unicode’. -

No mechanism is provided to +

No mechanism is provided to translate non-Unicode bookmarks to Unicode; for portable PDF documents only Unicode encoding should be used.

/I -

How link buttons behave when selected; /I is +

How link buttons behave when selected; /I is for inverse (the default); the other possibilities are /N (no effect), /O (outline), and /P (inset highlighting).

0 1 0 -

The color of the box around citations

RGB color 0 .5 .5 -

The color of the box around links to files

RGB color 1 0 0 -

The color of the box around normal links

RGB color 1 0 0 -

The color of the box around Acrobat menu links

RGB color 0 1 1 -

The color of the box around links to URLs

RGB color 0 .7 .7 -

Color of border around ‘run’ links

allbordercolors -

Set all border color options

0 0 1 -

The style of box around links; defaults to a box +

The style of box around links; defaults to a box with lines of 1pt thickness, but the colorlinks option resets it to produce no border.

-

The color of link borders used to be specified

The color of link borders used to be specified only as 3 numbers in the range 0..1, giving an RGB color. Since version 6.76a, the usual color specifications of package (x)color can be used if hycolor. -

The bookmark commands are stored in a file called

The bookmark commands are stored in a file called jobname.out. The files is not processed by LaTeX so any markup is passed through. You can postprocess this file as needed; as an aid @@ -1990,16 +2238,16 @@ class="ec-lmvtt-10">.out file is not overwritten on the next TeX r line -

+   
 \let\WriteBookmarks\relax
 
-

-

+

+

5.7 PDF display and information options

-

+ id="x1-180005.7">PDF display and information options +

class="td01">baseurl +

Sets the base URL of the PDF document

pdftitle +

Sets the document information Title field

+

Sets the document information Author field

+

Sets the document information Subject field

+

Sets the document information Creator field

+

Sets the document information Keywords field

+

Sets the default PDF ‘view’ for each link

class="td01">pdfstartview +

Set the startup page view

+

Set the startup page view of remote PDF files

class="td01">pdfpagescrop @@ -2207,22 +2455,22 @@ class="ec-lmvtt-10">R2L (right to left) class="td01">pdfdisplaydoctitle +

resize document window to fit document size

+

PDF language identifier (RFC 3066)

+

make PDF viewer’s menu bar visible

class="td01">pdfnumcopies +

number of printed copies

+

set PDF page labels

@@ -2373,11 +2621,11 @@ class="td10"> class="td01">pdfprintarea class="td01">pdfprintclip class="td01">pdfprintpagerange +

set /PrintPageRange of viewer preferences

class="td01">pdftoolbar +

make PDF toolbar visible

class="td01">pdfviewclip class="td01">pdfwindowui +

make PDF user interface elements visible

+

Unicode encoded PDF strings

@@ -2517,11 +2765,11 @@ class="td11">
-

URL

URL

-

Sets the base URL of the PDF document

pdfpagemode -

name

name

empty -

Determines how the file is opening in +

Determines how the file is opening in Acrobat; the possibilities are UseNone, UseOutlines is used.

-

text

text

-

Sets the document information Title field

pdfauthor -

text

text

-

Sets the document information Author field

pdfsubject -

text

text

-

Sets the document information Subject field

pdfcreator -

text

text

-

Sets the document information Creator field

addtopdfcreator -

text

text

-

Adds additional text to the document +

Adds additional text to the document information Creator field

pdfkeywords -

text

text

-

Sets the document information Keywords field

pdftrapped -

name

name

empty -

Sets the document information Trapped entry. +

Sets the document information Trapped entry. Possible values are True, False and Unknown. class="td01">pdfinfo

-

key +

key value list

empty -

Alternative interface for setting the document +

Alternative interface for setting the document information.

pdfview -

name

name

XYZ -

Sets the default PDF ‘view’ for each link

pdfstartpage -

integer

integer

1 -

Determines on which page the PDF file is +

Determines on which page the PDF file is opened. An empty value means, the entry is not set.

-

name

name

Fit -

Set the startup page view

pdfremotestartview -

name

name

Fit -

Set the startup page view of remote PDF files

-

n +

n n n n

-

Sets the default PDF crop box for pages. This +

Sets the default PDF crop box for pages. This should be a set of four numbers

pdfcenterwindow -

boolean

boolean

false -

position the document window in the center +

position the document window in the center of the screen

pdfdirection -

name

name

empty -

direction setting. Possible values:

direction setting. Possible values: L2R (left to right) and R2L (right to left)

-

boolean

boolean

false -

display document title instead of file name in +

display document title instead of file name in title bar

pdfduplex -

name

name

empty -

paper handling option for print +

paper handling option for print dialog. Possible vatues are: Simplex (print single-sided), DuplexFlipLongEdge (duplex and flip on class="td01">pdffitwindow

-

boolean

boolean

false -

resize document window to fit document size

pdflang -

name

name

relax -

PDF language identifier (RFC 3066)

pdfmenubar -

boolean

boolean

true -

make PDF viewer’s menu bar visible

pdfnewwindow -

boolean

boolean

false -

make links that open another PDF file start a +

make links that open another PDF file start a new window

pdfnonfullscreenpagemode -

name

name

empty -

page mode setting on exiting full-screen mode. +

page mode setting on exiting full-screen mode. Possible values are UseNone, UseOutlines, @@ -2293,21 +2541,21 @@ class="ec-lmvtt-10">UseOC

-

integer

integer

empty -

number of printed copies

pdfpagelayout -

name

name

empty -

set layout of PDF pages. Possible values: +

set layout of PDF pages. Possible values: SinglePage, OneColumn, TwoPageRight class="td01">pdfpagelabels

-

boolean

boolean

true -

set PDF page labels

pdfpagetransition -

name

name

empty -

set PDF page transition style. Possible values +

set PDF page transition style. Possible values are Split, Blinds, R, which simply replaces the old page w class="td01">pdfpicktraybypdfsize

-

boolean

boolean

false -

specify whether PDF page size is used to select +

specify whether PDF page size is used to select input paper tray in print dialog

-

name

name

empty -

set /PrintArea of viewer preferences. Possible +

set /PrintArea of viewer preferences. Possible values are MediaBox, CropBox, CropBox

-

name

name

empty -

set /PrintClip of viewer preferences. Possible +

set /PrintClip of viewer preferences. Possible values are MediaBox, CropBox, CropBox

-

n +

n n (n n)*

empty -

set /PrintPageRange of viewer preferences

pdfprintscaling -

name

name

empty -

page scaling option for print dialog (option +

page scaling option for print dialog (option /PrintScaling of viewer preferences, PDF 1.6); valid values are None and AppDefault

-

boolean

boolean

true -

make PDF toolbar visible

pdfviewarea -

name

name

empty -

set /ViewArea of viewer preferences. Possible +

set /ViewArea of viewer preferences. Possible values are MediaBox, CropBox, CropBox

-

name

name

empty -

set /ViewClip of viewer preferences Possible +

set /ViewClip of viewer preferences Possible values are MediaBox, CropBox, CropBox

-

boolean

boolean

true -

make PDF user interface elements visible

unicode -

boolean

boolean

true -

Unicode encoded PDF strings

-

Each link in Acrobat carries its own magnification level, which is set using PDF coordinate space, which +

Each link in Acrobat carries its own magnification level, which is set using PDF coordinate space, which is not the same as TeX’s. The unit is bp and the origin is in the lower left corner. See also \hypercalcbp that is explained on page 54. pdfTeX works by supplying default values for 58. pdfTeX works by supplying default values for XYZ (horizontal × vertical pdfview, pdfstartview and pdfremotestartview parameters. -

+

XYZ +

Fits the page to the window.

+

Fits the width of the page to the window.

+

Fits the height of the page to the window.

+

Fits the page bounding box to the window.

left top zoom -

Sets a coordinate and a zoom factor. If any one +

Sets a coordinate and a zoom factor. If any one is null, the source link value is used. null null Fit

-

Fits the page to the window.

FitH top -

Fits the width of the page to the window.

FitV left -

Fits the height of the page to the window.

FitR left bottom right top -

Fits the rectangle specified by the four +

Fits the rectangle specified by the four coordinates to the window.

FitB -

Fits the page bounding box to the window.

FitBH top -

Fits the width of the page bounding box to +

Fits the width of the page bounding box to the window.

FitBV left -

Fits the height of the page bounding box to +

Fits the height of the page bounding box to the window.

-

The

The pdfpagelayout can be one of the following values. -

+

class="td01">SinglePage +

Displays a single page; advancing flips the page

+

Displays the document in one column; continuous scrolling.

class="td01">
-

Displays a single page; advancing flips the page

OneColumn -

Displays the document in one column; continuous scrolling.

TwoColumnLeft -

Displays the document in two columns, odd-numbered pages to +

Displays the document in two columns, odd-numbered pages to the left.

TwoColumnRight -

Displays the document in two columns, odd-numbered pages to +

Displays the document in two columns, odd-numbered pages to the right.

TwoPageLeft -

Displays two pages, odd-numbered pages to the left (since PDF +

Displays two pages, odd-numbered pages to the left (since PDF 1.5).

TwoPageRight -

Displays two pages, odd-numbered pages to the right (since PDF +

Displays two pages, odd-numbered pages to the right (since PDF 1.5).

-

Finally, the

Finally, the pdfpagetransition can be one of the following values, where /Di stands for direction of motion in degrees, generally in 90Blinds /Dm /V), and /M is for motion, either in (/I) or out (/O). -

+

Blinds +

A box sweeps in or out.

Dissolve +

Two lines sweep across the screen to reveal the new page.

+

Simply replaces the old page with the new one.

Push Cover Fade
/Dm -

Multiple lines distributed evenly across the screen sweep +

Multiple lines distributed evenly across the screen sweep in the same direction to reveal the new page.

Box /M -

A box sweeps in or out.

-

The page image dissolves in a piecemeal fashion to reveal +

The page image dissolves in a piecemeal fashion to reveal the new page.

Glitter /Di -

Similar to Dissolve, except the effect sweeps across the +

Similar to Dissolve, except the effect sweeps across the screen.

Split /Dm /M -

Two lines sweep across the screen to reveal the new page.

Wipe /Di -

A single line sweeps across the screen to reveal the new +

A single line sweeps across the screen to reveal the new page.

R -

Simply replaces the old page with the new one.

Fly /Di /M -

Changes are flown out or in (as specified by /M), in the +

Changes are flown out or in (as specified by /M), in the direction specified by /Di, to or from a location that is offscreen except when /Di is None.

/Di -

The old page slides off the screen while the new page +

The old page slides off the screen while the new page slides in, pushing the old page out in the direction specified by /Di.

/Di -

The new page slides on to the screen in the direction +

The new page slides on to the screen in the direction specified by /Di, covering the old page.

Uncover /Di -

The old page slides off the screen in the direction +

The old page slides off the screen in the direction specified by /Di, uncovering the new page in the direction specified by /Di.

-

The new page gradually becomes visible through the old +

The new page gradually becomes visible through the old one.

-

+

5.8 Option Option pdfinfo

-

The information entries can be set using

The information entries can be set using pdftitle, pdfsubject, …. Option pdfinfo provides an alternative @@ -2851,7 +3099,7 @@ strings (see PDF specification). Example:

-
+     
 \hypersetup{
   pdfinfo={
     Title={My Title},
@@ -2861,15 +3109,15 @@ strings (see PDF specification). Example:
   }
 }
 
-

-

+

+

5.9 Big alphabetical list

-

The following is a complete listing of available options for Big alphabetical list +

The following is a complete listing of available options for hyperref, arranged alphabetically. -

+

allbordercolors +

Set all border color options

+

set color of anchors, ignored by most drivers.

+

do bibliographical back references

+

set base URL for document

+

make bookmarks

+

put section numbers in bookmarks

+

open up bookmark tree

+

level to which bookmarks are open

+

to specify which ‘toc’ file to mimic

+

allow links to break over lines

+

to produce CJK bookmarks

+

color of border around cites

+

color of citation links

+

color links

debug @@ -3021,7 +3269,7 @@ class="ec-lmvtt-10">destlabel draft +

do not do any hyperlinking

+

default if no driver specified or detected

+

to set encap character for hyperindex

+

suffix of linked files

+

color of border around file links

+

color of file links

+

opposite of option draft

+

use small caps instead of color for links

+

Hide links (removing color and border)

+

make figures hyper links

+

set up hyperlinked footnotes

+

set up hyperlinked indices

+

use guessable names for links

+

redefine LaTeX internals

+

color of border around links

+

color of links

+

make text be link on TOC, LOF and LOT

+

color of border around menu links

+

color for menu links

+

use LaTeX-computed names for links

nesting +

allow nesting of links

+

allow to set the name of the next anchor

+

put an anchor on every page

+

backreference by page number

+

text for PDF Author field

+

width of PDF link border

+

border style for links

+

text for PDF Creator field

+

+

direction setting

+

paper handling option for print dialog

+

resize document window to fit document size

+

set highlighting of PDF links

+

text for PDF Keywords field

+

PDF language identifier (RFC 3066)

+

make PDF viewer’s menu bar visible

+

make links that open another PDF

+

file start a new window

+

page mode setting on exiting full-screen mode

+

number of printed copies

+

set PDF page labels

+

set layout of PDF pages

+

set default mode of PDF display

+

set crop size of PDF document

pdfpagetransition +

set PDF page transition style

+

set option for print dialog

+

set /PrintArea of viewer preferences

+

set /PrintClip of viewer preferences

+

set /PrintPageRange of viewer preferences

+

page scaling option for print dialog

+

text for PDF Producer field

+

starting view of remote PDF documents

+

page at which PDF document opens

+

starting view of PDF document

+

text for PDF Subject field

+

text for PDF Title field

+

make PDF toolbar visible

+

PDF ‘view’ when on link traversal

+

set /ViewArea of viewer preferences

+

set /ViewClip of viewer preferences

+

make PDF user interface elements visible

+

do page number anchors as plain Arabic

+

color of border around ‘run’ links

+

color of ‘run’ links

+

set page size by special driver commands

@@ -3730,7 +3978,7 @@ class="ec-lmvtt-10">unicode +

color of border around URL links

+

color of URL links

+

be chatty

-

Set all border color options

allcolors -

Set all color options (without border and field +

Set all color options (without border and field options)

anchorcolor black -

set color of anchors, ignored by most drivers.

backref false -

do bibliographical back references

baseurl empty -

set base URL for document

bookmarks true -

make bookmarks

bookmarksnumbered false -

put section numbers in bookmarks

bookmarksopen false -

open up bookmark tree

bookmarksopenlevel \maxdimen -

level to which bookmarks are open

bookmarkstype toc -

to specify which ‘toc’ file to mimic

breaklinks false -

allow links to break over lines

CJKbookmarks false -

to produce CJK bookmarks

citebordercolor 0 1 0 -

color of border around cites

citecolor green -

color of citation links

colorlinks false -

color links

true -

(

(tex4ht, dviwindo)

false -

provide details of anchors defined; same as +

provide details of anchors defined; same as verbose

false -

destinations are named by the first

destinations are named by the first \label after the anchor creation

false -

do not do any hyperlinking

driverfallback -

default if no driver specified or detected

dvipdfm -

use

use dvipdfm backend

dvipdfmx -

use

use dvipdfmx backend

dvips -

use

use dvips backend

dvipsone -

use

use dvipsone backend

dviwindo -

use

use dviwindo backend

encap -

to set encap character for hyperindex

extension dvi -

suffix of linked files

filebordercolor 0 .5 .5 -

color of border around file links

filecolor cyan -

color of file links

final true -

opposite of option draft

frenchlinks false -

use small caps instead of color for links

hidelinks -

Hide links (removing color and border)

hyperfigures false -

make figures hyper links

hyperfootnotes true -

set up hyperlinked footnotes

hyperindex true -

set up hyperlinked indices

hypertex -

use

use HyperTeX backend

hypertexnames true -

use guessable names for links

implicit true -

redefine LaTeX internals

latex2html -

use

use LaTeX2HTML backend

linkbordercolor 1 0 0 -

color of border around links

linkcolor red -

color of links

linktoc section -

make text be link on TOC, LOF and LOT

linktocpage false -

make page number, not text, be link on TOC, +

make page number, not text, be link on TOC, LOF and LOT

menubordercolor 1 0 0 -

color of border around menu links

menucolor red -

color for menu links

nativepdf false -

an alias for

an alias for dvips

naturalnames false -

use LaTeX-computed names for links

false -

allow nesting of links

next-anchor -

allow to set the name of the next anchor

pageanchor true -

put an anchor on every page

pagebackref false -

backreference by page number

pdfauthor empty -

text for PDF Author field

pdfborder 0 0 1 -

width of PDF link border

0 0 0 -

(

(colorlinks)

pdfborderstyle -

border style for links

pdfcenterwindow false -

position the document window in the center +

position the document window in the center of the screen

pdfcreator LaTeX with -

text for PDF Creator field

hyperref -

pdfdirection empty -

direction setting

pdfdisplaydoctitle false -

display document title instead of file name in +

display document title instead of file name in title bar

pdfduplex empty -

paper handling option for print dialog

pdffitwindow false -

resize document window to fit document size

pdfhighlight /I -

set highlighting of PDF links

pdfinfo empty -

alternative interface for setting document +

alternative interface for setting document information

pdfkeywords empty -

text for PDF Keywords field

pdflang relax -

PDF language identifier (RFC 3066)

pdfmark false -

an alias for

an alias for dvips

pdfmenubar true -

make PDF viewer’s menu bar visible

pdfnewwindow false -

make links that open another PDF

-

file start a new window

pdfnonfullscreenpagemode empty -

page mode setting on exiting full-screen mode

pdfnumcopies empty -

number of printed copies

pdfpagelabels true -

set PDF page labels

pdfpagelayout empty -

set layout of PDF pages

pdfpagemode empty -

set default mode of PDF display

pdfpagescrop empty -

set crop size of PDF document

empty -

set PDF page transition style

pdfpicktraybypdfsize empty -

set option for print dialog

pdfprintarea empty -

set /PrintArea of viewer preferences

pdfprintclip empty -

set /PrintClip of viewer preferences

pdfprintpagerange empty -

set /PrintPageRange of viewer preferences

pdfprintscaling empty -

page scaling option for print dialog

pdfproducer empty -

text for PDF Producer field

pdfremotestartview Fit -

starting view of remote PDF documents

pdfstartpage 1 -

page at which PDF document opens

pdfstartview Fit -

starting view of PDF document

pdfsubject empty -

text for PDF Subject field

pdftex -

use

use pdfTeX backend

pdftitle empty -

text for PDF Title field

pdftoolbar true -

make PDF toolbar visible

pdftrapped empty -

Sets the document information Trapped entry. +

Sets the document information Trapped entry. Possible values are True, False and pdfview

XYZ -

PDF ‘view’ when on link traversal

pdfviewarea empty -

set /ViewArea of viewer preferences

pdfviewclip empty -

set /ViewClip of viewer preferences

pdfwindowui true -

make PDF user interface elements visible

plainpages false -

do page number anchors as plain Arabic

ps2pdf -

use

use ps2pdf backend

psdextra false -

define more short names for PDF string +

define more short names for PDF string commands

raiselinks false -

raise up links (for

raise up links (for HyperTeX backend)

runbordercolor 0 .7 .7 -

color of border around ‘run’ links

runcolor filecolor -

color of ‘run’ links

setpagesize true -

set page size by special driver commands

tex4ht -

use

use TeX4ht backend

textures -

use

use Textures backend

true -

Unicode encoded pdf strings, starting with +

Unicode encoded pdf strings, starting with version v7.00g set by default to true for all engines. It will load a number of definitions in puenc.def. It can be set to false for pdflatex, @@ -3742,7 +3990,7 @@ class="ec-lmvtt-10">urlbordercolor

0 1 1 -

color of border around URL links

urlcolor magenta -

color of URL links

verbose false -

be chatty

vtex -

use

use VTeX backend

xetex -

use

use XeTeX backend

-

+

6 Additional user macros

-

If you need to make references to URLs, or write explicit links, the following low-level user macros are + id="x1-210006">Additional user macros +

If you need to make references to URLs, or write explicit links, the following low-level user macros are provided: -

-

}{text}
-

The

The text is made a hyperlink to the URL; this must be a full URL (relative to the base URL, if that is defined). The special characters # and ˜ do not need to be escaped in any way (unless the command is used in the argument of another command). -

The optional argument

The optional argument options recognizes the hyperref options pdfremotestartview, pdfnewwindow and the following key value options:

-

+

page:

-

Specifies the start page number of remote PDF documents. First page is

Specifies the start page number of remote PDF documents. First page is 1.

-

+

ismap:

-

Boolean key, if set to

Boolean key, if set to true, the URL should appended by the coordinates as query parameters by the PDF viewer.

-

+

nextactionraw:

-

The value of key

The value of key /Next of action dictionaries, see PDF specification.

-

-

\url{URL}
-

Similar to

Similar to \href{URLURL}}. Depending on the driver \href also tries to detect the link type. Thus the result can be a url link, file link, … -

-

\nolinkurl{URL}
-

Write

Write URL in the same way as \url, without creating a hyperlink. -

-

{URL}
-

A base

A base URL is established, which is prepended to other specified URLs, to make it easier to write portable documents. -

-

}{text}
-

The link to the image referenced by the URL is inserted, using

The link to the image referenced by the URL is inserted, using text as the anchor. -

For drivers that produce HTML, the image itself is inserted by the browser, with the

For drivers that produce HTML, the image itself is inserted by the browser, with the text being ignored completely. -

-

}{text}
-

A target area of the document (the

A target area of the document (the text) is marked, and given the name category.name -

-

}{text}
-

text is made into a link to URL#category.name -

-

]{text}
-

text is made into a link to the same place as \ref{label} would be linked. -

-

}{text}
-

-

}{text}
-

A simple internal link is created with

A simple internal link is created with \hypertarget, with two parameters of an anchor name, and anchor \hyperlink has two arguments, the name class="ec-lmvtt-10">\hypertarget, and the text which be used as the link on the page. - - -

Note that in HTML parlance, the

Note that in HTML parlance, the \hyperlink command inserts a notional # in front of each link, making it relative to the current testdocument; \href expects a full URL. -

-

\phantomsection
-

This sets an anchor at this location. It works similar to

This sets an anchor at this location. It works similar to \hypertarget{}{} with an automatically chosen anchor name. Often it is used in conjunction with \addcontentsline for sectionlike things (index, bibliography, preface). \addcontentsline refers to the latest previous location where an anchor is set. -Example: +Example: +

-
+     
 \cleardoublepage
 \phantomsection
 \addcontentsline{toc}{chapter}{\indexname}
 \printindex
 
-

-

Now the entry in the table of contents (and bookmarks) for the index points to the start of the index page, +

+

Now the entry in the table of contents (and bookmarks) for the index points to the start of the index page, not to a location before this page. -

-

}{label}
-

This retrieves the anchor or the page anchor from a label in an expandable way. It takes +

This retrieves the anchor or the page anchor from a label in an expandable way. It takes \HyperDestNameFilter into account. It can e.g. be used with the \bookmark from the bookmark package to set a destination to a label: -

+   
 \bookmark[dest=\hyperget{anchor}{sec}]{section}
 
-

-

As

+

As pageanchor retrieves the page number from the label it can’t be use together with the option plainpages. -

-

{currentanchor}{}
-

This retrieves the last anchor that has been set. It too takes

This retrieves the last anchor that has been set. It too takes \HyperDestNameFilter into account. -

-

\autoref class="ec-lmvtt-10">{label}
-

This is a replacement for the usual

This is a replacement for the usual \ref command that places a contextual label in front of the reference. This gives your users a bigger target to click for hyperlinks (e.g. ‘section 2’ instead of merely the number ‘2’). -

The label is worked out from the context of the original

The label is worked out from the context of the original \label command by hyperref by using the macros listed below (shown with their default values). The macros can be (re)defined in documents using @@ -4126,16 +4359,16 @@ macros listed below (shown with their default values). The macros can be (re)def class="ec-lmvtt-10">\(re)newcommand; note that some of these macros are already defined in the standard document classes. The mixture of lowercase and uppercase initial letters is deliberate and corresponds to the author’s practice. -

For each macro below,

For each macro below, hyperref checks \*autorefname before \*name. For instance, it looks for \figureautorefname before \figurename. -

+

class="td01">Macro +

Figure

+

Table

+

Part

+

Appendix

+

Equation

+

item

+

chapter

+

section

+

subsection

+

subsubsection

- - +

paragraph

+

footnote + +

+

Equation

+

Theorem

+

page

@@ -4256,19 +4489,19 @@ class="td01"> class="td01">
-

Default

\figurename -

Figure

\tablename -

Table

\partname -

Part

\appendixname -

Appendix

\equationname -

Equation

\Itemname -

item

\chaptername -

chapter

\sectionname -

section

\subsectionname -

subsection

\subsubsectionname -

subsubsection

\paragraphname -

paragraph

\Hfootnotename -

footnote

\AMSname -

Equation

\theoremname -

Theorem

\page -

page

-

Example for a redefinition if

Example for a redefinition if babel is used:

-
+     
 \usepackage[ngerman]{babel}
 \addto\extrasngerman{%
   \def\subsectionautorefname{Unterkapitel}%
 }
 
-

-

Hint:

+

Hint: \autoref works via the counter name that the reference is based on. Sometimes \autoref chooses the wrong name, if the counter is used for different things. For example, it happens with @@ -4280,7 +4513,7 @@ lemmas:

-
+     
 \documentclass{article}
 
 \usepackage{aliascnt}
@@ -4308,9 +4541,8 @@ We will use \autoref{a} to prove \auto
 
 \end{document}
 
-

-

-

+

{label}
-

It replaces

It replaces \pageref and adds the name for page in front of the page reference. First \pageautorefname is checked before \pagename. -

For instances where you want a reference to use the correct counter, but not to create a +

For instances where you want a reference to use the correct counter, but not to create a link, there are starred forms (these starred forms exist even if hyperref has been loaded with implicit=false): -

-

\ref*{label}
-

-

{label}
-

- -

\autoref*{label}
-

-

{label}
-

A typical use would be to write +

A typical use would be to write -

+   
 \hyperref[other]{that nice section (\ref*{other}) we read before}
 
-

-

We want

+

We want \ref*{other} to generate the correct number, but not to form a link, since we do this ourselves with \hyperref. -

-

}{TeXstring}
-

\pdfstringdef returns a macro containing the PDF string. (Currently this is done globally, but do not rely on it.) All the following tasks, definitions and redefinitions are made in a group to keep them local:

  • -

    Switching to PD1 or PU encoding +

    Switching to PD1 or PU encoding

  • -

    Defining the “octal sequence commands” (

    Defining the “octal sequence commands” (\345): \edef\3{\string\3}

  • -

    Special glyphs of TeX:

    Special glyphs of TeX: \{, \%, \&, \space, \dots, etc.

  • -

    National glyphs (

    National glyphs (german.sty, french.sty, etc.)

  • -

    Logos:

    Logos: \TeX, \eTeX, \MF, etc.

  • -

    Disabling commands that do not provide useful functionality in bookmarks:

    Disabling commands that do not provide useful functionality in bookmarks: \label, \index, \def, \let, etc.

  • -

    LaTeX’s font commands like

    LaTeX’s font commands like \textbf, etc.

  • -

    Support for

    Support for \xspace provided by the xspace package

-

In addition, parentheses are protected to avoid the danger of unsafe unbalanced parentheses in +

In addition, parentheses are protected to avoid the danger of unsafe unbalanced parentheses in the PDF string. For further details, see Heiko Oberdiek’s EuroTeX paper distributed with hyperref. -

-

{NoHyper}…\end{NoHyper}
-

Sometimes we just don’t want the wretched package interfering with us. Define an environment we +

Sometimes we just don’t want the wretched package interfering with us. Define an environment we can put in manually, or include in a style file, which stops the hypertext functions doing anything. This is used, for instance, in the Elsevier classes, to stop hyperref playing havoc in the front matter. -

+

6.1 Bookmark macros

-

+ id="x1-220006.1">Bookmark macros +

6.1.1 Setting bookmarks
-

Usually Setting bookmarks +

Usually hyperref automatically adds bookmarks for \section and similar macros. But they can also set manually. -

-

}{name}
-

creates a bookmark with the specified text and at the given level (default is 0). As name for the +

creates a bookmark with the specified text and at the given level (default is 0). As name for the internal anchor name is used (in conjunction with level). Therefore the name must be unique (similar to \label). -

-

}{name}
-

creates a bookmark at the current level. -

-

creates a bookmark at the current level. +

}{name}
-

creates a bookmark one step down in the bookmark hierarchy. Internally the current level is increased +

creates a bookmark one step down in the bookmark hierarchy. Internally the current level is increased by one. -

-

}{name}
-

creates a bookmark below the current bookmark level. However after the command the current +

creates a bookmark below the current bookmark level. However after the command the current bookmark level has not changed. -

Hint: Package bookmark replaces hyperref’s bookmark organization by a new algorithm:

  • -

    Usually only one LaTeX run is needed. - +

    Usually only one LaTeX run is needed.

  • -

    More control over the bookmark appearance (color, font). +

    More control over the bookmark appearance (color, font). + +

  • -

    Different bookmark actions are supported (external file links, URLs, …).

-

Therefore I recommend using this package. -

+

Different bookmark actions are supported (external file links, URLs, …). +

Therefore I recommend using this package. +

6.1.2 Replacement macros
-

Replacement macros +

hyperref takes the text for bookmarks from the arguments of commands like \section, which can contain things like math, colors, or font changes, none of which will display in bookmarks as is. -

-

}{PDFstring}
-

For example, +

For example, -

+   
 \section{Pythagoras:
   \texorpdfstring{$ a^2 + b^2 = c^2 $}{%
     a\texttwosuperior\ + b\texttwosuperior\ =
@@ -4600,40 +4823,39 @@ class="ec-lmvtt-10">}  
 }
 \section{\texorpdfstring{\textcolor{red}}{}{Red} Mars}
 
-

-

+

\pdfstringdef executes the hook before it expands the string. Therefore, you can use this hook to perform additional tasks or to disable additional commands. -

+   
 \expandafter\def\expandafter\pdfstringdefPreHook
 \expandafter{%
   \pdfstringdefPreHook
   \renewcommand{\mycommand}[1]{}%
 }
 
-

-

However, for disabling commands, an easier way is via

+

However, for disabling commands, an easier way is via \pdfstringdefDisableCommands, which adds its argument to the definition of \pdfstringdefPreHook (‘@’ can here be used as letter in command names): -

+   
 \pdfstringdefDisableCommands{%
   \let~\textasciitilde
   \def\url{\pdfstringdefWarn\url}%
   \let\textcolor\@gobble
 }
 
-

-

+

+

6.2 Pagelabels

-

-

Pagelabels +

{page number format}
-

This allows to change format of the page number shown in the tool bar of a PDF viewer for a specific +

This allows to change format of the page number shown in the tool bar of a PDF viewer for a specific page, for example -

\thispdfpagelabel{Empty Page-\roman{page}} -

The command affects the page on which it is executed, so asynchronous page breaking should be +

The command affects the page on which it is executed, so asynchronous page breaking should be taken into account. It should be used in places where for example \thispagestyle can be use too. -

+

6.3 Utility macros

-

-

Utility macros +

{dimen specification}
-

\hypercalcbp takes a TeX dimen specification and converts it to bp and returns the number without the unit. This is useful for options pdfview, -

+     
 \hypersetup{
   pdfstartview={FitBH \hypercalcbp{\paperheight-\topmargin-1in
     -\headheight-\headsep}
 }
 
-

-

The origin of the PDF coordinate system is the lower left corner. -

Note, for calculations you need either package

+

The origin of the PDF coordinate system is the lower left corner. +

Note, for calculations you need either package calc or ε-TEX. Nowadays the latter should automatically be enabled for LATEX formats. Users without ε-TEX, please, look in the source documentation hyperref.dtx for further limitations. -

Also

Also \hypercalcbp cannot be used in option specifications of \documentclass and \usepackage, because LATEX expands the option lists of these commands. However package hyperref is not yet loaded and an undefined control sequence error would arise. -

+

7 New FeaturesNew Features5

+ id="x1-27001f5">

7.1 Option ‘pdflinkmargin’

-

Option ‘pdflinkmargin’ is an experimental option for specifying a link margin, if the driver supports this. + id="x1-280007.1">Option ‘pdflinkmargin’ +

Option ‘pdflinkmargin’ is an experimental option for specifying a link margin, if the driver supports this. Default is 1 pt for supporting drivers. -

+

-

+

pdfTeX

-

+

  • -

    The link area also depends on the surrounding box. +

    The link area also depends on the surrounding box.

  • -

    Settings have local effect. +

    Settings have local effect.

  • -

    When a page is shipped out, pdfTeX uses the current setting of the link margin for all +

    When a page is shipped out, pdfTeX uses the current setting of the link margin for all links on the page.

-

+

pdfmark

-

+

  • -

    Settings have global effect.

+

Settings have global effect.

-

+

xetex

-

+

  • -

    Settings must be done in the preamble or the first page and then have global effect. +

    Settings must be done in the preamble or the first page and then have global effect. The key inserts the new (x)dvipdfmx special \special{dvipdfmx:config g #1} (with the unit removed).

-

+

Other drivers

-

Unsupported.

-

+

Unsupported.

+

7.2 Field option ‘calculatesortkey’

-

Fields with calculated values are calculated in document order by default. If calculated field values + id="x1-290007.2">Field option ‘calculatesortkey’ +

Fields with calculated values are calculated in document order by default. If calculated field values depend on other calculated fields that appear later in the document, then the correct calculation order can be specified with option ‘calculatesortkey’. Its value is used as key to lexicographically sort the calculated fields. The sort key do not need to be unique. Fields that share the same key are sorted in document order. -

Currently the field option ‘calculatesortkey’ is only supported by the driver for pdfTeX. -

+

Currently the field option ‘calculatesortkey’ is only supported by the driver for pdfTeX. +

7.3 Option ‘next-anchor’

-

This option allows to overwrite the anchor name of the next anchor. This makes it possible to give for + id="x1-300007.3">Option ‘next-anchor’ +

This option allows to overwrite the anchor name of the next anchor. This makes it possible to give for example the heading of the table of contents an anchor name which can be referenced with a bookmark command. -

+   
 \hypersetup{next-anchor=toc}
 \tableofcontents
 \bookmark[dest=\HyperDestNameFilter{toc},level=section]{\contentsname}
 
-

-

+

+

7.4 Option ‘localanchorname’

-

When an anchor is set (e.g. via \refstepcounter, then the anchor name is globally set to the current -anchor name. -

For example: + id="x1-310007.4">Option ‘localanchorname’ +

WhenDeprecated 2022-04-27 v7.00o an anchor is set (e.g. via \refstepcounter, then the anchor name is +globally set to the current anchor name. +

For example: -

+   
     \section{Foobar}
     \begin{equation}\end{equation}
     \label{sec:foobar}
 
-

With the default global setting (localanchorname=false) a reference to ‘sec:foobar’ jumps to the +

With the default global setting (localanchorname=false) a reference to ‘sec:foobar’ jumps to the equation before. With option ‘localanchorname’ the anchor of the equation is forgotten after the environment and the reference ‘sec:foobar’ jumps to the section title. -

Option ‘localanchorname’ is an experimental option, there might be situations, where the anchor +

Option ‘localanchorname’ is an experimental option, there might be situations, where the anchor name is not available as expected. -

+

The option is deprecated: it makes it difficult for package authors to add targets for links if it is +unclear if \@currentHref is set locally or globally. +

7.5 Option ‘customdriver’

-

The value of option ‘customdriver’ is the name of an external driver file without extension ‘.def’. The file + id="x1-320007.5">Option ‘customdriver’ +

The value of option ‘customdriver’ is the name of an external driver file without extension ‘.def’. The file must have \ProvidesFile with a version date and number that match the date and number of ‘hyperref’, otherwise a warning is given. -

Because the interface, what needs to be defined in the driver, is not well defined and +

Because the interface, what needs to be defined in the driver, is not well defined and quite messy, the option is mainly intended to ease developing, testing, debugging the driver part. -

+

7.6 Option ‘psdextra’

-

LaTeX’s NFSS is used to assist the conversion of arbitrary TeX strings to PDF strings (bookmarks, PDF + id="x1-330007.6">Option ‘psdextra’ +

LaTeX’s NFSS is used to assist the conversion of arbitrary TeX strings to PDF strings (bookmarks, PDF information entries). Many math command names (\geq, \notin, ...) are not in control of NFSS, @@ -4825,20 +5049,20 @@ on means that the short names are available. Then \geq can directly be used instead of \textgeq. -

+

7.7 \XeTeXLinkBox

-

When XeTeX generates a link annotation, it does not look at the boxes (as the other drivers), but only + id="x1-340007.7">\XeTeXLinkBox +

When XeTeX generates a link annotation, it does not look at the boxes (as the other drivers), but only at the character glyphs. If there are no glyphs (images, rules, ...), then it does not generate a link annotation. Macro \XeTeXLinkBox puts its argument in a box and adds spaces at the lower left and upper right corners. An additional margin can be specified by setting it to the dimen register \XeTeXLinkMargin. The default is 2pt. -

Example: +

Example: -

+   
     % xelatex
     \documentclass{article}
     \usepackage{hyperref}
@@ -4852,68 +5076,68 @@ class="ec-lmvtt-10">\XeTeXLinkMargin. The default is 2pt.
     }
     \end{document}
 
-

-

+

+

7.8 \IfHyperBooleanExists and \IfHyperBoolean

+ id="x1-350007.8">\IfHyperBooleanExists and \IfHyperBoolean -
+   
  \IfHyperBooleanExists{OPTION}{YES}{NO}
 
-

If a hyperref OPTION is a boolean, that means it takes values ‘true’ or ‘false’, then

If a hyperref OPTION is a boolean, that means it takes values ‘true’ or ‘false’, then \IfHyperBooleanExists calls YES, otherwise NO. -

+   
  \IfHyperBoolean{OPTION}{YES}{NO}
 
-

Macro

Macro \IfHyperBoolean calls YES, if OPTION exists as boolean and is enabled. Otherwise NO is executed. -

Both macros are expandable. Additionally option ‘stoppedearly’ is available. It is enabled if +

Both macros are expandable. Additionally option ‘stoppedearly’ is available. It is enabled if \MaybeStopEarly or \MaybeStopNow end hyperref prematurely. -

+

7.9 \unichar

-

If a Unicode character is not supported by puenc.def, it can be given by using \unichar +

If a Unicode character is not supported by puenc.def, it can be given by using \unichar. Its name and syntax is inherited from package ‘ucs’. However it is defined independently for use in hyperref’s \pdfstringdef (that converts arbitrary TeX code to PDF strings or tries to do this). -

Macro

Macro \unichar takes a TeX number as argument, examples for U+263A (WHITE SMILING FACE): -

+   
     \unichar{"263A}% hexadecimal notation
     \unichar{9786}% decimal notation
 
-

‘"’ must not be a babel shorthand character or otherwise active. Otherwise prefix it with +

‘"’ must not be a babel shorthand character or otherwise active. Otherwise prefix it with \string: -

+   
     \unichar{\string"263A}% converts ‘"’ to ‘"’ with catcode 12 (other)
 
-

Users of (n)german packages or babel options may use

Users of (n)german packages or babel options may use \dq instead: -

+   
     \unichar{\dq 263A}% \dq is double quote with catcode 12 (other)
 
-

-

+

+

7.10 \ifpdfstringunicode

-

Some features of the PDF specification needs PDF strings. Examples are bookmarks or the entries in the + id="x1-370007.10">\ifpdfstringunicode +

Some features of the PDF specification needs PDF strings. Examples are bookmarks or the entries in the information dictionary. The PDF specification allows two encodings ‘PDFDocEncoding’ (8-bit encoding) and ‘Unicode’ (UTF-16). The user can help using \texorpdfstring to replace complicate TeX constructs @@ -4924,21 +5148,21 @@ class="ec-lmvtt-10">\ifpdfstringunicode. It is only allowed class="ec-lmvtt-10">\texorpdfstring and takes two arguments, the first allows the full range of Unicode. The second is limited to the characters available in PDFDocEncoding. -

As example we take a macro definition for the Vietnamese name of Hàn Thế Thành. Correctly written +

As example we take a macro definition for the Vietnamese name of Hàn Thế Thành. Correctly written it needs some accented characters, one character even with a double accent. Class ‘tugboat.cls’ defines a macro for the typesetted name: -

+   
     \def\Thanh{%
       H\‘an~%
       Th\^e\llap{\raise 0.5ex\hbox{\’{}}}%
       ~Th\‘anh%
     }
 
-

It’s not entirely correct, the second accent over the ‘e’ is not an acute, but a hook. However standard +

It’s not entirely correct, the second accent over the ‘e’ is not an acute, but a hook. However standard LaTeX does not provide such an accent. -

Now we can extend the definition to support hyperref. The first and the last word are already +

Now we can extend the definition to support hyperref. The first and the last word are already supported automatically. Characters with two or more accents are a difficult business in LaTeX, because the NFSS2 macros of the LaTeX kernel do not support more than one accent. Therefore also puenc.def misses support for them. But we can provide it using \unichar. The character in question is: -

+   
     % U+1EC3 LATIN SMALL LETTER E WITH CIRCUMFLEX AND HOOK ABOVE
 
-

Thus we can put this together: +

Thus we can put this together: -

+   
     \def\Thanh{%
       H\‘an~%
       \texorpdfstring{Th\^e\llap{\raise 0.5ex\hbox{\’{}}}}%
@@ -4960,11 +5184,11 @@ is:
       ~Th\‘anh%
     }
 
-

For PDFDocEncoding (PD1) the variant above has dropped the second accent. Alternatively we could +

For PDFDocEncoding (PD1) the variant above has dropped the second accent. Alternatively we could provide a representation without accents instead of wrong accents: -

+   
     \def\Thanh{%
       \texorpdfstring{%
         H\‘an~%
@@ -4979,23 +5203,23 @@ provide a representation without accents instead of wrong accents:
       }%
     }
 
-

-

+

+

7.11 Customizing index style file with \nohyperpage

-

Since version 2008/08/14 v6.78f. -

For hyperlink support in the index, hyperref inserts Customizing index style file with \nohyperpage +

Since version 2008/08/14 v6.78f. +

For hyperlink support in the index, hyperref inserts \hyperpage into the index macros. After processing with Makeindex, \hyperpage analyzes its argument to detect page ranges and page comma lists. However, only the standard settings are supported directly: -

+   
     delim_r "--"
     delim_n ", "
 
-

(See manual page/documentation of Makeindex that explains the keys that can be used in style files for +

(See manual page/documentation of Makeindex that explains the keys that can be used in style files for Makeindex.) Customized versions of delim_r, delim_n,\nohyperpage, e.g.: -

+   
     suffix_2p "\\nohyperpage{f.}"
     suffix_3p "\\nohyperpage{ff.}"
 
-

(Depending on the typesetting tradition some space “

(Depending on the typesetting tradition some space “\\,” or “~” should be put before the first f inside \nohyperpage.) -

+

7.12 Experimental option ‘ocgcolorlinks’

-

The idea are colored links, when viewed, but printed without colors. This new experimental option + id="x1-390007.12">Experimental option ‘ocgcolorlinks’ +

The idea are colored links, when viewed, but printed without colors. This new experimental option ‘ocgcolorlinks’ uses Optional Content Groups, a feature introduced in PDF 1.5. -

A better implementation which hasn’t the disadvantage to prevent line breaks is in the ocgx2 +

A better implementation which hasn’t the disadvantage to prevent line breaks is in the ocgx2 package. Check its documentation for details how to use it.

  • -

    The option must be given for package loading:

    The option must be given for package loading: \usepackage[ocgcolorlinks]{hyperref}

  • -

    Main disadvantage: Links cannot be broken across lines. PDF reference 1.7: 4.10.2 “Making +

    Main disadvantage: Links cannot be broken across lines. PDF reference 1.7: 4.10.2 “Making Graphical Content Optional”: Graphics state operations, such as setting the color, ..., are still applied. Therefore the link text is put in a box and set twice, with and without color.

  • -

    The feature can be switched of by

    The feature can be switched of by \hypersetup{ocgcolorlinks=false} inside the document.

  • -

    Supported drivers: pdftex, dvipdfm +

    Supported drivers: pdftex, dvipdfm

  • -

    The PDF version should be at least 1.5. It is automatically set for pdfTeX, LuaTeX and +

    The PDF version should be at least 1.5. It is automatically set for pdfTeX, LuaTeX and dvipdfmx.

-

+

7.13 Option ‘pdfa’

-

The new option ‘pdfa’ tries to avoid violations of PDF/A in code generated by hyperref. However, the + id="x1-400007.13">Option ‘pdfa’ +

The new option ‘pdfa’ tries to avoid violations of PDF/A in code generated by hyperref. However, the result is usually not in PDF/A, because many features aren’t controlled by hyperref (XMP metadata, fonts, colors, driver dependend low level stuff, ...). -

Currently, option ‘pdfa’ sets and disables the following items: +

Currently, option ‘pdfa’ sets and disables the following items:

  • -

    Enabled annotation flags: Print, NoZoom, NoRotate [PDF/A 6.5.3]. +

    Enabled annotation flags: Print, NoZoom, NoRotate [PDF/A 6.5.3].

  • -

    Disabled annotation flags: Hidden, Invisible, NoView [PDF/A 6.5.3]. +

    Disabled annotation flags: Hidden, Invisible, NoView [PDF/A 6.5.3].

  • -

    Disabled: Launch action (

    Disabled: Launch action ([PDF/A 6.6.1].

  • -

    Restricted: Named actions (NextPage, PrevPage, FirstPage, LastPage) [PDF/A 6.6.1]. +

    Restricted: Named actions (NextPage, PrevPage, FirstPage, LastPage) [PDF/A 6.6.1].

  • -

    Many things are disabled in PDF formulars: +

    Many things are disabled in PDF formulars:

    • -

      JavaScript actions [PDF/A 6.6.1] +

      JavaScript actions [PDF/A 6.6.1]

    • -

      Trigger events (additional actions) [PDF/A 6.6.2] +

      Trigger events (additional actions) [PDF/A 6.6.2]

    • -

      Push button (because of JavaScript) +

      Push button (because of JavaScript)

    • -

      Interactive Forms: Flag NeedAppearances is the default ‘false’ (Because of this, +

      Interactive Forms: Flag NeedAppearances is the default ‘false’ (Because of this, hyperref’s implementation of Forms looks ugly). [PDF/A 6.9]

-

The default value of the new option ‘pdfa’ is ‘false’. It influences the loading of the package and +

The default value of the new option ‘pdfa’ is ‘false’. It influences the loading of the package and cannot be changed after hyperref is loaded (\usepackage{hyperref}). -

+

7.14 Option ‘linktoc’ added

-

The new option ‘linktoc’ allows more control which part of an entry in the table of contents is made into + id="x1-410007.14">Option ‘linktoc’ added +

The new option ‘linktoc’ allows more control which part of an entry in the table of contents is made into a link:

  • -

    ‘linktoc=none’ (no links) +

    ‘linktoc=none’ (no links)

  • -

    ‘linktoc=section’ (default behaviour, same as ‘linktocpage=false’) +

    ‘linktoc=section’ (default behaviour, same as ‘linktocpage=false’)

  • -

    ‘linktoc=page’ (same as ‘linktocpage=true’) +

    ‘linktoc=page’ (same as ‘linktocpage=true’)

  • -

    ‘linktoc=all’ (both the section and page part are links)

-

+

‘linktoc=all’ (both the section and page part are links) +

7.15 Option ‘pdfnewwindow’ changed

-

Before 6.77b: + id="x1-420007.15">Option ‘pdfnewwindow’ changed +

Before 6.77b:

  • -

    pdfnewwindow=true

    pdfnewwindow=true /NewWindow true

  • -

    pdfnewwindow=false

    pdfnewwindow=false (absent)

  • -

    unused pdfnewwindow

    unused pdfnewwindow (absent)

-

Since 6.77b: +

Since 6.77b:

  • -

    pdfnewwindow=true

    pdfnewwindow=true /NewWindow true

  • -

    pdfnewwindow=false

    pdfnewwindow=false /NewWindow false

  • -

    pdfnewwindow=

    pdfnewwindow= (absent)

  • -

    unused pdfnewwindow

    unused pdfnewwindow (absent)

-

Rationale: There is a difference between setting to ‘false’ and an absent entry. In the former case the +

Rationale: There is a difference between setting to ‘false’ and an absent entry. In the former case the new document replaces the old one, in the latter case the PDF viewer application should respect the user preference. -

+

7.16 Flag options for PDF forms

-

PDF form field macros (Flag options for PDF forms +

PDF form field macros (\TextField, \CheckBox, ...) support boolean flag options. The option name is the lowercase version of the names in the PDF specification (1.7): -

http://www.adobe.com/devnet/pdf/pdf_reference.html -

http://www.adobe.com/devnet/acrobat/pdfs/pdf_reference.pdf -

Options (convert to lowercase) except flags in square brackets: +

Options (convert to lowercase) except flags in square brackets:

  • -

    Table 8.16 Annotation flags (page 608): -

    +

    Table 8.16 Annotation flags (page 608): +

    1 Invisible
    2 Hidden (PDF 1.2)
    3 Print (PDF 1.2) @@ -5173,23 +5397,23 @@ class="ec-lmvtt-10">http://www.adobe.com/devnet/acrobat/pdfs/pdf_reference.pdf10 LockedContents (PDF 1.7)
  • -

    Table 8.70 Field flags common to all field types (page 676): -

    +

    Table 8.70 Field flags common to all field types (page 676): +

    1 ReadOnly
    2 Required
    3 NoExport
  • -

    Table 8.75 Field flags specific to button fields (page 686): -

    +

    Table 8.75 Field flags specific to button fields (page 686): +

    15 NoToggleToOff (Radio buttons only)
    16 Radio (set: radio buttons, clear: check box, pushbutton: clear)
    17 Pushbutton
    26 RadiosInUniso (PDF 1.5)
  • -

    Table 8.77 Field flags specific to text fields (page 691): -

    +

    Table 8.77 Field flags specific to text fields (page 691): +

    13 Multiline
    14 Password
    21 FileSelect (PDF 1.4) @@ -5200,8 +5424,8 @@ class="ec-lmvtt-10">http://www.adobe.com/devnet/acrobat/pdfs/pdf_reference.pdf
  • -

    Table 8.79 Field flags specific to choice fields (page 693): -

    +

    Table 8.79 Field flags specific to choice fields (page 693): +

    18 Combo (set: combo box, clear: list box)
    19 Edit (only useful if Combo is set)
    20 (Sort) for authoring tools, not PDF viewers @@ -5210,8 +5434,8 @@ class="ec-lmvtt-10">http://www.adobe.com/devnet/acrobat/pdfs/pdf_reference.pdf27 CommitOnSelChange (PDF 1.5)
  • -

    Table 8.86 Flags for submit-form actions (page 704): -

    +

    Table 8.86 Flags for submit-form actions (page 704): +

    [1 Include/Exclude] unsupported, use ‘noexport’ (table 8.70) instead
    2 IncludeNoValueFields
    [3 ExportFormat] handled by option ‘export’ @@ -5226,35 +5450,35 @@ class="ec-lmvtt-10">http://www.adobe.com/devnet/acrobat/pdfs/pdf_reference.pdf12 ExclFKey (PDF 1.4)
    14 EmbedForm (PDF 1.5)
-

New option ‘export’ sets the export format of a submit action. Valid values are (upper- or +

New option ‘export’ sets the export format of a submit action. Valid values are (upper- or lowercase):

  • -

    FDF +

    FDF

  • -

    HTML +

    HTML

  • -

    XFDF +

    XFDF

  • -

    PDF (not supported by Acrobat Reader)

-

+

PDF (not supported by Acrobat Reader) +

7.17 Option ‘pdfversion’

-

This is an experimental option. It notifies ‘hyperref’ about the intended PDF version. Currently this is + id="x1-440007.17">Option ‘pdfversion’ +

This is an experimental option. It notifies ‘hyperref’ about the intended PDF version. Currently this is used in code for PDF forms (implementation notes 116 and 122 of PDF spec 1.7). -

Values: 1.2, 1.3, 1.4, 1.5, 1.6, 1.7. Values below 1.2 are not supported, because most drivers expect +

Values: 1.2, 1.3, 1.4, 1.5, 1.6, 1.7. Values below 1.2 are not supported, because most drivers expect higher PDF versions. -

The option must be used early, not after

The option must be used early, not after \usepackage{hyperref}. -

In theory this option should also set the PDF version, but this is not generally supported. +

In theory this option should also set the PDF version, but this is not generally supported.

  • -

    pdfTeX below 1.10a: unsupported. pdfTeX

    pdfTeX below 1.10a: unsupported. pdfTeX 1.10a and < 1.30: \pdfoptionpdfminorversion pdfTeX 1.30: \pdfminorversion

  • -

    dvipdfm: configuration file, example: TeX Live 2007, texmf/dvipdfm/config/config, entry ‘V +

    dvipdfm: configuration file, example: TeX Live 2007, texmf/dvipdfm/config/config, entry ‘V 2’.

  • -

    dvipdfmx: configuration file, example: TeX Live 2007, texmf/dvipdfm/dvipdfmx.cfg, entry +

    dvipdfmx: configuration file, example: TeX Live 2007, texmf/dvipdfm/dvipdfmx.cfg, entry ‘V 4’.

  • -

    Ghostscript: option -dCompatibilityLevel (this is set in ‘ps2pdf12’, ‘ps2pdf13’, ‘ps2pdf14’).

-

The current PDF version is used as default if this version can be detected (only pdfTeX

Ghostscript: option -dCompatibilityLevel (this is set in ‘ps2pdf12’, ‘ps2pdf13’, ‘ps2pdf14’). +

The current PDF version is used as default if this version can be detected (only pdfTeX 1.10a). Otherwise the lowest version 1.2 is assumed. Thus ‘hyperref’ tries to avoid PDF code that breaks this version, but is free to use ignorable higher PDF features. -

+

7.18 Field option ‘name’

-

Many form objects uses the label argument for several purposes: + id="x1-450007.18">Field option ‘name’ +

Many form objects uses the label argument for several purposes:

  • -

    Layouted label. +

    Layouted label.

  • -

    As name in HTML structures.

-

Code that is suitable for layouting with TeX can break in the structures of the output format. If option +

As name in HTML structures. +

Code that is suitable for layouting with TeX can break in the structures of the output format. If option ‘name’ is given, then its value is used as name in the different output structures. Thus the value should consist of letters only. -

+

7.19 Option ‘pdfencoding’

-

The PDF format allows two encodings for bookmarks and entries in the information dictionary: + id="x1-460007.19">Option ‘pdfencoding’ +

The PDF format allows two encodings for bookmarks and entries in the information dictionary: PDFDocEncoding and Unicode as UTF-16BE. Option pdfencoding selects between these encodings:

  • -

    pdfdoc uses PDFDocEncoding. It uses just one byte per character, but the supported characters are limited (244 in PDF-1.7).

  • -

    unicode sets Unicode. It is encoded as UTF-16BE. Two bytes are used for most characters, surrogates need four bytes.

  • -

    auto PDFDocEncoding if the string does not contain characters outside the encoding (outside ascii if an unicode engine is used) and Unicode otherwise. This option is not intended for the unicode engines.

-

All drivers use

All drivers use unicode by default now. If another encoding should be forced, it should be done in hypersetup. -

+

7.20 Color options/package hycolor

-

See documentation of package ‘hycolor’. -

+ id="x1-470007.20">Color options/package hycolor +

See documentation of package ‘hycolor’. +

7.21 Option pdfusetitle

-

If option pdfusetitle is set then hyperref tries to derive the values for pdftitle and pdfauthor + id="x1-480007.21">Option pdfusetitle +

If option pdfusetitle is set then hyperref tries to derive the values for pdftitle and pdfauthor from \title and \author. An optional argument for \title and \author is supported (class amsart). -

+

7.22 Starred form of \autoref

-

Starred form of \autoref +

\autoref* generates a reference without link as \ref* or \pageref*. -

+

7.23 Link border style

-

Links can be underlined instead of the default rectangle or options Link border style +

Links can be underlined instead of the default rectangle or options colorlinks, frenchlinks. This is done by option pdfborderstyle={/S/U/W 1} -

Some remarks: +

Some remarks:

  • -

    AR7/Linux seems to have a bug, that don’t use the default value

    AR7/Linux seems to have a bug, that don’t use the default value 1 for the width, but zero, thus that the underline is not visible without /W 1. The same applies for dashed pdfborderstyle=/S/D/D[3 2]/W 1

  • -

    The syntax is described in the PDF specification, look for “border style”, eg. Table 8.13 +

    The syntax is described in the PDF specification, look for “border style”, eg. Table 8.13 “Entries in a border style dictionary” (specification for version 1.6)

  • -

    The border style is removed by pdfborderstyle= This is automatically done if option +

    The border style is removed by pdfborderstyle= This is automatically done if option colorlinks is enabled.

  • -

    Be aware that not all PDF viewers support this feature, not even Acrobat Reader itself: -

    Some support: +

    Be aware that not all PDF viewers support this feature, not even Acrobat Reader itself: +

    Some support:

    • -

      AR7/Linux:

      AR7/Linux: underline and dashed, but the border width must be given.

    • -

      xpdf 3.00:

      xpdf 3.00: underline and dashed

    -

    Unsupported: +

    Unsupported:

    • -

      AR5/Linux +

      AR5/Linux

    • -

      ghostscript 8.50

    +

    ghostscript 8.50

-

+

7.24 Option Option bookmarksdepth

-

The depth of the bookmarks can be controlled by the new option

The depth of the bookmarks can be controlled by the new option bookmarksdepth. The option acts globally and distinguishes three cases:

  • -

    bookmarksdepth without value Then hyperref uses the current value of counter tocdepth. This is the compatible behaviour and the default. @@ -5405,49 +5629,49 @@ class="ec-lmss-10">tocdepth.

  • -

    bookmarksdepth=<number>, the value is number (also negative): The depth for the bookmarks are set to this number.

  • -

    bookmarksdepth=<name> The <name> is a document division name (part, chapter, ...). It must not start with a digit or minus to avoid mixing up with the number case. Internally hyperref uses the value of macro \toclevel@<name>. Examples: -

    +     
              \hypersetup{bookmarksdepth=paragraph}
              \hypersetup{bookmarksdepth=4} % same as before
              \hypersetup{bookmarksdepth} % counter "tocdepth" is used
     
    -

-

+

+

7.25 Option Option pdfescapeform

-

There are many places where arbitrary strings end up as PS or PDF strings. The PS/PDF strings in +

There are many places where arbitrary strings end up as PS or PDF strings. The PS/PDF strings in parentheses form require the protection of some characters, e.g. unmatched left or right parentheses need escaping or the escape character itself (backslash). Since 2006/02/12 v6.75a the PS/PDF driver should do this automatically. However I assume a problem with compatibility, especially regarding the form part where larger amounts of JavaScript code can be present. It would be a pain to remove all the escaping, because an additional escaping layer can falsify the code. -

Therefore a new option pdfescapeform was introduced: +

Therefore a new option pdfescapeform was introduced:

  • -

    pdfescapeform=false Escaping for the formulars are disabled, this is the compatibility +

    pdfescapeform=false Escaping for the formulars are disabled, this is the compatibility behaviour, therefore this is the default.

  • -

    pdfescapeform=true Then the PS/PDF drivers do all the necessary escaping. This is the +

    pdfescapeform=true Then the PS/PDF drivers do all the necessary escaping. This is the logical choice and the recommended setting. For example, the user writes JavaScript as JavaScript and do not care about escaping characters for PS/PDF output.

-

+

7.26 Default driver setting

-

(hyperref Default driver setting +

(hyperref 6.72s) If no driver is given, hyperref tries its best to guess the most suitable driver. Thus it loads hpdftex, if pdfTeX is detected running in PDF mode. Or it loads the @@ -5460,24 +5684,24 @@ xdvi for example. This behaviour, however, can easily be changed in the configur class="ec-lmvtt-10">hyperref.cfg: -

+   
     \providecommand*{\Hy@defaultdriver}{hdvips}
 
-

for dvips, or +

for dvips, or -

+   
     \providecommand*{\Hy@defaultdriver}{hypertex}
 
-

for the default behaviour of hyperref. -

See also the new option ‘driverfallback’. -

+

for the default behaviour of hyperref. +

See also the new option ‘driverfallback’. +

7.27 Backref entries

-

Alternative interface for formatting of backref entries, example: + id="x1-540007.27">Backref entries +

Alternative interface for formatting of backref entries, example: -

+   
 \documentclass[12pt,UKenglish]{article}
 
 \usepackage{babel}
@@ -5567,30 +5791,30 @@ class="ec-lmvtt-10">hyperref.cfg:
 
 \end{document}
 
-

-

+

+

7.28 \phantomsection

-

Set an anchor at this location. It is often used in conjunction with \phantomsection +

Set an anchor at this location. It is often used in conjunction with \addcontentsline for sectionlike things (index, bibliography, preface). \addcontentsline refers to the latest previous location where an anchor is set. -

+   
   \cleardoublepage
   \phantomsection
   \addcontentsline{toc}{chapter}{\indexname}
   \printindex
 
-

-

Now the entry in the table of contents (and bookmarks) for the index points to the start of the index +

+

Now the entry in the table of contents (and bookmarks) for the index points to the start of the index page, not to a location before this page. -

+

7.29 puenc encoding, puenc-greek.def and puenc-extra.def

-

The puenc encoding, puenc-greek.def and puenc-extra.def +

The unicode option loads for the bookmarks puenc.def which contains quite a lot definitions of commands for the bookmarks. As hyperref uses two strategies.

  • -

    A number of command are only defined conditionally: The commands for the cyrillic block +

    A number of command are only defined conditionally: The commands for the cyrillic block if \CYRDZE is defined, greek if \textBeta is defined, and hebrew if \hebdalet is defined. -

    The greek block is in an extra file,

    The greek block is in an extra file, puenc-greek.def, which can be loaded manually if needed.

  • -

    Other commands are moved to an extra file

    Other commands are moved to an extra file puenc-extra.def which is not loaded automatically, but can be loaded in the preamble if needed. Currently this file contains all definitions for the accent \G.

-

+

8 Acrobat-specific behavior

-

If you want to access the menu options of Acrobat Reader or Exchange, the following macro is provided + id="x1-570008">Acrobat-specific behavior +

If you want to access the menu options of Acrobat Reader or Exchange, the following macro is provided in the appropriate drivers: -

-

}{text}
-

The

The text is used to create a button which activates the appropriate menuoption. The following table lists the option names you can use—comparison of this with the menus in Acrobat Reader or Exchange will show what they do. Obviously some are only appropriate to Exchange. -

+

+ id="x1-57001r13"> -

style="vertical-align:baseline;" id="TBL-44-1-"> class="td01">FileExport +

Properties

@@ -5735,7 +5958,7 @@ class="td10"> style="vertical-align:baseline;" id="TBL-44-9-"> +

About

@@ -5850,17 +6073,18 @@ class="td01"> class="td01">
File -

Open, +

Open, Close, Scan, Save, @@ -5667,7 +5890,7 @@ class="td10"> class="td01">FileImport

-

ImportImage, +

ImportImage, ImportNotes, AcroForm:ImportFDF

-

ExportNotes, +

ExportNotes, AcroForm:ExportFDF

FileDocumentInfo -

GeneralInfo, +

GeneralInfo, OpenInfo, FontsInfo, SecurityInfo, @@ -5693,7 +5916,7 @@ class="td10"> class="td01">FilePreferences

-

GeneralPrefs, +

GeneralPrefs, NotePrefs, FullScreenPrefs, Weblink:Prefs, @@ -5705,7 +5928,7 @@ class="td10"> style="vertical-align:baseline;" id="TBL-44-6-">

Edit -

Undo, +

Undo, Cut, Copy, Paste, @@ -5721,13 +5944,13 @@ class="td10"> style="vertical-align:baseline;" id="TBL-44-7-">

-

Properties

EditFields -

AcroForm:Duplicate, +

AcroForm:Duplicate, AcroForm:TabOrder

Document -

Cpt:CapturePages, +

Cpt:CapturePages, AcroForm:Actions, CropPages, RotatePages, @@ -5751,7 +5974,7 @@ class="td10"> style="vertical-align:baseline;" id="TBL-44-10-">

View -

ActualSize, +

ActualSize, FitVisible, FitWidth, FitPage, @@ -5775,7 +5998,7 @@ class="td10"> style="vertical-align:baseline;" id="TBL-44-11-">

Tools -

Hand, +

Hand, ZoomIn, ZoomOut, SelectText, @@ -5797,7 +6020,7 @@ class="td10"> class="td01">ToolsSearch

-

AcroSrch:Query, +

AcroSrch:Query, AcroSrch:Indexes, AcroSrch:Results, AcroSrch:Assist, @@ -5809,7 +6032,7 @@ class="td10"> style="vertical-align:baseline;" id="TBL-44-13-">

Window -

ShowHideToolBar, +

ShowHideToolBar, ShowHideMenuBar, ShowHideClipboard, Cascade, @@ -5820,7 +6043,7 @@ class="td10"> style="vertical-align:baseline;" id="TBL-44-14-">

Help -

HelpUserGuide, +

HelpUserGuide, HelpTutorial, HelpExchange, HelpScan, @@ -5835,7 +6058,7 @@ class="td10"> style="vertical-align:baseline;" id="TBL-44-15-">

Help(Windows) -

About

-

+

9 PDF and HTML forms

-

You must put your fields inside a PDF and HTML forms +

You must put your fields inside a Form environment. The environment does some general setups, so should be used only once in a document. Using simply \Form at the begin of the document is possible too. -

There are six macros to prepare fields: -

-

There are six macros to prepare fields: + + +

]{label}
-

- - -

]{label}
-

-

}{choices}
-

-

]{label}
-

-

]{label}
-

-

]{label}
-

The way forms and their labels are laid out is determined by: -

-

The way forms and their labels are laid out is determined by: +

}{field}
-

-

}{field}
-

-

}{field}
-

These macros default to #1 #2 -

What is actually shown in the field is determined by: -

-

These macros default to #1 #2 +

What is actually shown in the field is determined by: +

}{height}
-

-

}{height}
-

-

}{height}
-

- - -

}{height}
-

-

\MakeButtonField{text}
-

These macros default to

These macros default to \vbox to #2{\hbox #1{\hfill}\vfill}, except the l to #1; it is used for buttons, and the special \Submit and \Reset macros. -

You may also want to redefine the following macros: +

You may also want to redefine the following macros: -

+   
 \def\DefaultHeightofSubmit{12pt}
 \def\DefaultWidthofSubmit{2cm}
 \def\DefaultHeightofReset{12pt}
@@ -6086,13 +6293,13 @@ class="ec-lmvtt-10">\Reset macros.
 \def\DefaultHeightofTextMultiline{4\baselineskip}
 \def\DefaultWidthofText{3cm}
 
-

-

+

+

9.1 Forms environment parameters

-

+ id="x1-590009.1">Forms environment parameters +

action encoding method @@ -6147,16 +6354,16 @@ class="td01">
URL -

The URL that will receive the form data if a

The URL that will receive the form data if a Submit button is included in the form

name -

The encoding for the string set to the URL; FDF-encoding +

The encoding for the string set to the URL; FDF-encoding is usual, and html is the only valid value

name -

Used only when generating HTML; values can be

Used only when generating HTML; values can be post or get

-

+

9.2 Forms optional parameters

-

Note that all colors must be expressed as RGB triples, in the range 0..1 (i.e. Forms optional parameters +

Note that all colors must be expressed as RGB triples, in the range 0..1 (i.e. color=0 0 0.5) -

+

-

+

10 Defining a new driver

-

A hyperref driver has to provide definitions for eight macros: -

1. Defining a new driver +

A hyperref driver has to provide definitions for eight macros: +

1. \hyper@anchor -

2.

2. \hyper@link -

3.

3. \hyper@linkfile -

4.

4. \hyper@linkurl -

5.

5. \hyper@anchorstart -

6.

6. \hyper@anchorend -

7.

7. \hyper@linkstart -

8.

8. \hyper@linkend -

The draft option defines the macros as follows +

The draft option defines the macros as follows -

+   
 \let\hyper@@anchor\@gobble
 \gdef\hyper@link##1##2##3{##3}%
 \def\hyper@linkurl##1##2{##1}%
@@ -6650,16 +6857,16 @@ class="ec-lmvtt-10">\hyper@linkend
 \let\hyper@linkstart\@gobbletwo
 \let\hyper@linkend\@empty
 
-

-

+

+

11 Special support for other packages

-

Package Special support for other packages +

Package hyperref aims to cooperate with other packages, but there are several possible sources for conflict, such as

  • -

    Packages that manipulate the bibliographic mechanism. Peter William’s

    Packages that manipulate the bibliographic mechanism. Peter William’s harvard package is supported. However, the recommended package is Patrick Daly’s natbib package that has @@ -6669,7 +6876,7 @@ class="ec-lmss-10">hyperref hooks to allow reliable interaction. This pac class="ec-lmss-10">hyperref.

  • -

    Packages that typeset the contents of the

    Packages that typeset the contents of the \label and \ref macros, such as showkeys. Since the @@ -6679,8 +6886,8 @@ class="ec-lmvtt-10">implicit=false for these packages to work.

  • -

    Packages that do anything serious with the index.

-

The

Packages that do anything serious with the index. +

The hyperref package is distributed with variants on two useful packages designed to work especially well with it. These are xr and minitoc, which support crossdocument links using \label/\ref mechanisms and per-chapter tables of contents, respectively. -

+

11.1 Package Compatibility

-

Currently only package loading orders are available: -

Note: hyperref loads package Package Compatibility +

Currently only package loading orders are available: +

Note: hyperref loads package nameref at \begin{document}. Sometimes this is too late, thus this package must be loaded earlier. -

+

11.1.1 algorithm
+ id="x1-6400011.1.1">algorithm -
+   
  \usepackage{float}
   \usepackage{hyperref}
   \usepackage[chapter]{algorithm}% eg.
 
-

-

+

+

11.1.2 amsmath
-

The environments equation and eqnarray are not supported too well. For example, there might be + id="x1-6500011.1.2">amsmath +

The environments equation and eqnarray are not supported too well. For example, there might be spacing problems (eqnarray isn’t recommended anyway, see CTAN:info/l2tabu/, the situation for equation is unclear, because nobody is interested in investigating). Consider using the environments that package amsmath provide, e.g. gather for equation. The environment equation can even redefined to use gather: -

+   
   \usepackage{amsmath}
   \let\equation\gather
   \let\endequation\endgather
 
-

-

+

+

11.1.3 amsrefs
-

Package loading order: + id="x1-6600011.1.3">amsrefs +

Package loading order: -

+   
   \usepackage{hyperref}
   \usepackage{amsrefs}
 
-

-

+

+

11.1.4 arydshln, longtable
-

Package longtable must be put before hyperref and arydshln, hyperref after arydshln generates an error, + id="x1-6700011.1.4">arydshln, longtable +

Package longtable must be put before hyperref and arydshln, hyperref after arydshln generates an error, thus the resulting package order is then: -

+   
   \usepackage{longtable}
   \usepackage{hyperref}
   \usepackage{arydshln}
 
-

-

+

+

11.1.5 babel/magyar.ldf
-

The old version 2005/03/30 v1.4j will not work. You need at least version 1.5, maintained by Péter + id="x1-6800011.1.5">babel/magyar.ldf +

The old version 2005/03/30 v1.4j will not work. You need at least version 1.5, maintained by Péter Szabó, see CTAN:language/hungarian/babel/. -

+

11.1.6 babel/spanish.ldf
-

Babel’s spanish.ldf redefines ‘babel/spanish.ldf +

Babel’s spanish.ldf redefines ‘\.’ to support ‘\...’. In bookmarks (\pdfstringdef) only ‘\.’ is supported. If ‘\...’ is needed, \texorpdfstring{\...}{\dots} can be used instead. -

+

11.1.7 bibentry
-

Workaround: + id="x1-7000011.1.7">bibentry +

Workaround: -

+   
   \makeatletter
   \let\saved@bibitem\@bibitem
   \makeatother
@@ -6784,53 +6991,53 @@ class="ec-lmvtt-10">\texorpdfstring{\...}{\dots} can be use
     \nobibliography{database}
   \endgroup
 
-

-

+

+

11.1.8 bigfoot
-

Hyperref does not support package ‘bigfoot’. And package ‘bigfoot’ does not support hyperref’s footnotes + id="x1-7100011.1.8">bigfoot +

Hyperref does not support package ‘bigfoot’. And package ‘bigfoot’ does not support hyperref’s footnotes and disables them (hyperfootnotes=false). -

+

11.1.9 chappg
-

Package ‘chappg’ uses chappg +

Package ‘chappg’ uses \@addtoreset that is redefined by ‘hyperref’. The package order is therefore: -

+   
   \usepackage{hyperref}
   \usepackage{chappg}
 
-

-

+

+

11.1.10 cite
-

This is from Mike Shell: cite.sty cannot currently be used with hyperref. However, I can do a workaround + id="x1-7300011.1.10">cite +

This is from Mike Shell: cite.sty cannot currently be used with hyperref. However, I can do a workaround via: -

+   
  \makeatletter
  \def\NAT@parse{\typeout{This is a fake Natbib command to fool Hyperref.}}
  \makeatother
 
  \usepackage[hypertex]{hyperref}
 
-

-

so that hyperref will not redefine any of the biblabel stuff - so cite.sty will work as normal - +

+

so that hyperref will not redefine any of the biblabel stuff - so cite.sty will work as normal - although the citations will not be hyperlinked, of course (But this may not be an issue for many people). -

+

11.1.11 count1to
-

Package ‘count1to’ adds several count1to +

Package ‘count1to’ adds several \@addtoreset commands that confuse ‘hyperref’. Therefore \theH<...> has to be fixed: -

+   
   \usepackage{count1to}
   \AtBeginDocument{% *after* \usepackage{count1to}
     \renewcommand*{\theHsection}{\theHchapter.\arabic{section}}%
@@ -6840,83 +7047,83 @@ has to be fixed:
     \renewcommand*{\theHsubparagraph}{\theHparagraph.\arabic{subparagraph}}%
   }
 
-

-

+

+

11.1.12 dblaccnt
-

pd1enc.def or puenc.def should be loaded before: + id="x1-7500011.1.12">dblaccnt +

pd1enc.def or puenc.def should be loaded before: -

+   
   \usepackage{hyperref}
   \usepackage{dblaccnt}
 
-

or see entry for

or see entry for vietnam. -

+

11.1.13 easyeqn
-

Not compatible, breaks. -

+ id="x1-7600011.1.13">easyeqn +

Not compatible, breaks. +

11.1.14 ellipsis
-

This packages redefines ellipsis +

This packages redefines \textellipsis after package hyperref (pd1enc.def/puenc.def should be loaded before): -

+   
   \usepackage{hyperref}
   \usepackage{ellipsis}
 
-

-

+

+

11.1.15 float
+ id="x1-7800011.1.15">float -
+   
  \usepackage{float}
   \usepackage{hyperref}
 
-

+

  • -

    Several

    Several \caption commands are not supported inside one float object.

  • -

    Anchor are set at top of the float object, if its style is controlled by float.sty.

-

+

Anchor are set at top of the float object, if its style is controlled by float.sty. +

11.1.16 endnotes
-

Unsupported. -

+ id="x1-7900011.1.16">endnotes +

Unsupported. +

11.1.17 foiltex
-

Update to version 2008/01/28 v2.1.4b: Since version 6.77a hyperref does not hack into foiltex +

Update to version 2008/01/28 v2.1.4b: Since version 6.77a hyperref does not hack into \@begindvi, it uses package ‘atbegshi’ instead, that hooks into \shipout. Thus the patch of ‘foils.cls’ regarding hyperref is now obsolete and causes an undefined error message about \@hyperfixhead. This is fixed in FoilTeX 2.1.4b. -

+

11.1.18 footnote
-

This package is not supported, you have to disable hyperref’s footnote support by using option + id="x1-8100011.1.18">footnote +

This package is not supported, you have to disable hyperref’s footnote support by using option hyperfootnotes=false. -

+

11.1.19 geometry
-

Driver ‘dvipdfm’ and program ‘dvipdfm’ might generate a warning: Sorry. Too late to change page size + id="x1-8200011.1.19">geometry +

Driver ‘dvipdfm’ and program ‘dvipdfm’ might generate a warning: Sorry. Too late to change page size Then prefer the program ‘dvipdfmx’ or use one of the following workarounds to move the \special of geometry to an earlier location: -

+   
     \documentclass[dvipdfm]{article}% or other classes
     \usepackage{atbegshi}
     \AtBeginDocument{%
@@ -6943,119 +7150,119 @@ geometry to an earlier location:
     ]{geometry}
     \usepackage{hyperref}
 
-

-

+

+

11.1.20 IEEEtran.cls
-

version IEEEtran.cls +

version V1.6b (because of \@makecaption, see ChangeLog) -

+

11.1.21 index
-

version index +

version 1995/09/28 v4.1 (because of \addcontentsline redefinition) -

+

11.1.22 lastpage
-

Compatible. -

+ id="x1-8500011.1.22">lastpage +

Compatible. +

11.1.23 linguex
+ id="x1-8600011.1.23">linguex -
+   
  \usepackage{hyperref}
   \usepackage{linguex}
 
-

-

+

+

11.1.24 ltabptch
+ id="x1-8700011.1.24">ltabptch -
+   
  \usepackage{longtable}
   \usepackage{ltabptch}
   \usepackage{hyperref}
 
-

-

+

+

11.1.25 mathenv
-

Unsupported. -

Both ‘mathenv’ and ‘hyperref’ messes around with environment ‘eqnarray’. You can load ‘mathenv’ + id="x1-8800011.1.25">mathenv +

Unsupported. +

Both ‘mathenv’ and ‘hyperref’ messes around with environment ‘eqnarray’. You can load ‘mathenv’ after ‘hyperref’ to avoid an error message. But \label will not work inside environment ‘eqnarray’ properly, for example. -

+

11.1.26 minitoc-hyper
-

This package is obsolete, use the up-to-date original package minitoc instead. -

+ id="x1-8900011.1.26">minitoc-hyper +

This package is obsolete, use the up-to-date original package minitoc instead. +

11.1.27 multind
+ id="x1-9000011.1.27">multind -
+   
  \usepackage{multind}
   \usepackage{hyperref}
 
-

-

+

+

11.1.28 natbib
+ id="x1-9100011.1.28">natbib -
+   
  \usepackage{natbib}
   \usepackage{hyperref}
 
-

-

+

+

11.1.29 nomencl
-

Example for introducing links for the page numbers: + id="x1-9200011.1.29">nomencl +

Example for introducing links for the page numbers: -

+   
       \renewcommand*{\pagedeclaration}[1]{\unskip, \hyperpage{#1}}
 
-

-

+

+

11.1.30 ntheorem-hyper
-

This package is obsolete, use the up-to-date original package ntheorem instead. -

For equations the following might work: + id="x1-9300011.1.30">ntheorem-hyper +

This package is obsolete, use the up-to-date original package ntheorem instead. +

For equations the following might work: -

+   
       \renewcommand*{\eqdeclaration}[1]{%
         \hyperlink{equation.#1}{(Equation~#1)}%
       }
     But the mapping from the equation number to the anchor name
     is not available in general.
 
-

-

+

+

11.1.31 parskip
+ id="x1-9400011.1.31">parskip -
+   
  \usepackage{parskip}
   \usepackage{hyperref}[2012/08/20]
 
-

-

Both packages want to redefine

+

Both packages want to redefine \@starttoc. -

+

11.1.32 prettyref
+ id="x1-9500011.1.32">prettyref -
+   
 %%% example for prettyref %%%
 \documentclass{article}
 \usepackage{prettyref}
@@ -7075,35 +7282,35 @@ class="ec-lmvtt-10">\@starttoc.
 %%% example for prettyref %%%
       
 
-

-

+

+

11.1.33 setspace
+ id="x1-9600011.1.33">setspace -
+   
  \usepackage{setspace}
   \usepackage{hyperref}
 
-

-

+

+

11.1.34 sidecap
+ id="x1-9700011.1.34">sidecap -
+   
  Before 2002/05/24 v1.5h:
     \usepackage{nameref}
     \usepackage{hyperref}
     \usepackage{sidecap}
 
-

-

+

+

11.1.35 subfigure
+ id="x1-9800011.1.35">subfigure -
+   
  1995/03/06 v2.0:
     \usepackage{subfigure}
     \usepackage{hyperref}
@@ -7122,35 +7329,35 @@ class="ec-lmvtt-10">\@starttoc.
     \usepackage{subfigure}
     or vice versa?
 
-

-

+

+

11.1.36 titleref
+ id="x1-9900011.1.36">titleref -
+   
  \usepackage{nameref}
   \usepackage{titleref}% without usetoc
   \usepackage{hyperref}
 
-

-

+

+

11.1.37 tabularx
-

Linked footnotes are not supported inside environment ‘tabularx’, because they uses the optional + id="x1-10000011.1.37">tabularx +

Linked footnotes are not supported inside environment ‘tabularx’, because they uses the optional argument of \footnotetext, see section ‘Limitations’. Before version 2011/09/28 6.82i hyperref had disabled footnotes entirely by ‘hyperfootnotes=false’. -

+

11.1.38 titlesec
-

titlesec +

nameref supports titlesec, but hyperref does not (unsolved is the anchor setting, missing with unnumbered section, perhaps problems with page breaks with numbered ones). -

+

11.1.39 ucs/utf8x.def
-

The first time a multibyte UTF8 sequence is called, it does some calculations and stores the result in a + id="x1-10200011.1.39">ucs/utf8x.def +

The first time a multibyte UTF8 sequence is called, it does some calculations and stores the result in a macro for speeding up the next calls of that UTF8 sequence. However this makes the first call non-expandable and will break if used in information entries or bookmarks. Package ucs offers @@ -7159,50 +7366,50 @@ class="ec-lmvtt-10">\PrerenderUnicode or \PreloadUnicodePage to solve this: -

+   
     \usepackage{ucs}
     \usepackage[utf8x]{inputenc}
     \usepackage{hyperref}% or with option unicode
     \PrerenderUnicode{^^c3^^b6}% or \PrerenderUnicodePage{1}
     \hypersetup{pdftitle={Umlaut example: ^^c3^^b6}}
 
-

The notation with two carets avoids trouble with 8-bit bytes for the README file, you can use the +

The notation with two carets avoids trouble with 8-bit bytes for the README file, you can use the characters directly. -

+

11.1.40 varioref
-

There are too many problems with varioref. Nobody has time to sort them out. Therefore this package is + id="x1-10300011.1.40">varioref +

There are too many problems with varioref. Nobody has time to sort them out. Therefore this package is now unsupported. -

Perhaps you are lucky and some of the features of varioref works with the following loading +

Perhaps you are lucky and some of the features of varioref works with the following loading order: -

+   
     \usepackage{nameref}
     \usepackage{varioref}
     \usepackage{hyperref}
 
-

-

Also some babel versions can be problematic. For example, 2005/05/21 v3.8g contains a patch for +

+

Also some babel versions can be problematic. For example, 2005/05/21 v3.8g contains a patch for varioref that breaks the hyperref support for varioref. -

Also unsupported: +

Also unsupported:

  • -

    \Ref, \Vref do not uppercase the first letter.

  • -

    \vpageref[]{...} On the same page a previous space is not suppressed.

-

+

11.1.41 verse
-

Version 2005/08/22 v2.22 contains support for hyperref. -

For older versions see example from de.comp.text.tex (2005/08/11, slightly modified): + id="x1-10400011.1.41">verse +

Version 2005/08/22 v2.22 contains support for hyperref. +

For older versions see example from de.comp.text.tex (2005/08/11, slightly modified): -

+   
   \documentclass{article}
 
   % package order does not matter
@@ -7244,32 +7451,32 @@ class="ec-lmvtt-10">\vpageref[]{...} On the same page a pre
 
   \end{document}
 
-

-

+

+

11.1.42 vietnam
+ id="x1-10500011.1.42">vietnam -
+   
  % pd1enc.def should be loaded before package dblaccnt:
   \usepackage[PD1,OT1]{fontenc}
   \usepackage{vietnam}
   \usepackage{hyperref}
 
-

-

+

+

11.1.43 XeTeX
-

Default for the encoding of bookmarks is XeTeX +

Default for the encoding of bookmarks is pdfencoding=unicode. That means the strings are always treated as unicode strings. If auto or pdfdoc is forced it applies only if the string restricts to the printable ASCII set, The reason is that the \special does not support PDFDocEncoding. -

In older versions hyperref contained special conversion code from UTF-16BE back to UTF-8 in a +

In older versions hyperref contained special conversion code from UTF-16BE back to UTF-8 in a number of places for xetex to avoid the xdvipdfmx warning -

Failed to convert input string to UTF16... -

This is no longer needed with a current xdvipdfmx, so this code has been removed. +

This is no longer needed with a current xdvipdfmx, so this code has been removed. \csname HyPsd@XeTeXBigCharstrue\endcsname should no longer be used. -

+

12 LimitationsLimitations6

+ id="x1-107001f6">

12.1 Wrapped/broken link support

-

Only few drivers support automatically wrapped/broken links, e.g. pdftex, dvipdfm, hypertex. Other + id="x1-10800012.1">Wrapped/broken link support +

Only few drivers support automatically wrapped/broken links, e.g. pdftex, dvipdfm, hypertex. Other drivers lack this feature, e.g. dvips, dvipsone. -

Workarounds: +

Workarounds:

  • -

    For long section or caption titles in the table of contents or list of figures/tables option +

    For long section or caption titles in the table of contents or list of figures/tables option linktocpage can be used. Then the page number will be a link, and the overlong section title is not forced into an one line link with overfull \hbox warning.

  • -

    \url”s are caught by package breakurl.

  • -

    The option

    The option breaklinks is intended for internal use. But it can be used to force link wrapping, e.g. when printing a document. However, when such a document is converted to PDF and viewed with a PDF viewer, the active link area will be misplaced. -

    Another limitation: some penalties are “optimized” by TeX, thus there are missing break +

    Another limitation: some penalties are “optimized” by TeX, thus there are missing break points, especially within \url. (See thread “hyperref.sty, breaklinks and url.sty 3.2” in comp.text.tex 2005-09).

-

+

12.2 Links across pages

-

In general they have problems: + id="x1-10900012.2">Links across pages +

In general they have problems:

  • -

    Some driver doesn’t support them at all (see above). +

    Some driver doesn’t support them at all (see above).

  • -

    The driver allows it, but the link result might include the footer and/or header, or an error +

    The driver allows it, but the link result might include the footer and/or header, or an error message can occur sometimes.

-

+

12.3 Footnotes

-

LaTeX allows the separation of the footnote mark and the footnote text (Footnotes +

LaTeX allows the separation of the footnote mark and the footnote text (\footnotemark, \footnotetext). This interface might be enough for visual typesetting. But the relation between @@ -7345,57 +7552,57 @@ Thus the implementation of hyperref does not support the optional argument of \footnotemark and \footnotetext. -

+

13 HintsHints7

+ id="x1-111001f7">

13.1 Spaces in option values

-

Unhappily LaTeX strips spaces from options if they are given in Spaces in option values +

Unhappily LaTeX strips spaces from options if they are given in \documentclass or \usepackage (or \RequirePackage), e.g.: -

+   
     \usepackage[pdfborder=0 0 1]{hyperref}
 
-

Package hyperref now gets +

Package hyperref now gets -

+   
     pdfborder=001
 
-

and the result is an invalid PDF file. As workaround braces can be used: +

and the result is an invalid PDF file. As workaround braces can be used: -

+   
     \usepackage[pdfborder={0 0 1}]{hyperref}
 
-

Some options can also be given in

Some options can also be given in \hypersetup -

+   
     \hypersetup{pdfborder=0 0 1}
 
-

In

In \hypersetup the options are directly processed as key value options (see package keyval) without space stripping in the value part. -

Alternatively, LaTeX’s option handling system can be adapted to key value options by one of the +

Alternatively, LaTeX’s option handling system can be adapted to key value options by one of the packages kvoptions-patch (from project kvoptions) or xkvltxp (from project xsetkeys). -

+

13.2 Index with makeindex

+ id="x1-11300013.2">Index with makeindex
  • -

    Package hyperref adds

    Package hyperref adds \hyperpage commands by the encap mechanism (see documentation of Makeindex), if option hyperindex is set (default). \hyperpage uses the page anchors that @@ -7408,13 +7615,13 @@ class="ec-lmvtt-10">\romannumbering, ...), then the page an class="ec-lmvtt-10">plainpages=false is recommended.

  • -

    The encap mechanism of Makeindex allows to use one command only (see documentation of +

    The encap mechanism of Makeindex allows to use one command only (see documentation of Makeindex). If the user sets such a command, hyperref suppresses its \hyperpage command. With logical markup this situation can easily be solved: -

    +     
                \usepackage{makeidx}
                \makeindex
                \usepackage[hyperindex]{hyperref}
    @@ -7422,23 +7629,23 @@ class="ec-lmvtt-10">\hyperpage command. With
                ...
                \index{Some example|main}
     
    -

    +

  • -

    Scientic Word/Scientific WorkPlace users can use package robustindex with hyperindex=false. +

    Scientic Word/Scientific WorkPlace users can use package robustindex with hyperindex=false.

  • -

    Other encap characters can be set by option

    Other encap characters can be set by option encap. Example for use of “?”: -

    +     
                \usepackage[encap=?]{hyperref}
     
    -

    +

  • -

    Another possibility is the insertion of

    Another possibility is the insertion of \hyperpage by a style file for makeindex. For this case, hyperref’s insertion will be disabled by hyperindex=false. \hyperpage will be defined regardless o setting of hyperindex. -

    +     
          %%% cut %%% hyperindex.ist %%% cut %%%
          delim_0 ", \\hyperpage{"
          delim_1 ", \\hyperpage{"
    @@ -7458,89 +7665,89 @@ class="ec-lmvtt-10">\hyperpage will be defined regardless o
          encap_suffix "}"
          %%% cut %%% hyperindex.ist %%% cut %%%
     
    -

-

+

+

13.3 Warning Warning "bookmark level for unknown <foobar> defaults to 0"

-

Getting rid of it: +

Getting rid of it: -

+   
 \makeatletter
 \providecommand*{\toclevel@<foobar>}{0}
 \makeatother
 
-

-

+

+

13.4 Link anchors in figures

-

The caption command increments the counter and here is the place where hyperref set the corresponding + id="x1-11500013.4">Link anchors in figures +

The caption command increments the counter and here is the place where hyperref set the corresponding anchor. Unhappily the caption is set below the figure, so the figure is not visible if a link jumps to a figure. In this case, try package hypcap that implements a method to circumvent the problem. -

+

13.5 Additional unicode characters in bookmarks and pdf information entries:

+ id="x1-11600013.5">Additional unicode characters in bookmarks and pdf information entries: -
+   
 \documentclass[pdftex]{article}
 \usepackage[unicode]{hyperref}
 
-

-

Support for additional unicode characters: -

Example:

+

Support for additional unicode characters: +

Example: \.{a} and \d{a} -

1. Get a list with unicode data, eg: -

http://www.unicode.org/Public/UNIDATA/UnicodeData.txt -

2. Identify the characters (

1. Get a list with unicode data, eg: +

http://www.unicode.org/Public/UNIDATA/UnicodeData.txt +

2. Identify the characters (\.{a}, \d{a}): -

+   
     0227;LATIN SMALL LETTER A WITH DOT ABOVE;...
     1EA1;LATIN SMALL LETTER A WITH DOT BELOW;...
 
-

-

3. Calculate the octal code: -

The first characters of the line in the file are hex values, convert each byte and prepend them with a +

+

3. Calculate the octal code: +

The first characters of the line in the file are hex values, convert each byte and prepend them with a backslash. (This will go into the PDF file.) -

+   
     0227 -> \002\047
     1EA1 -> \036\241
 
-

-

4. Transform into a form understood by hyperref: -

Hyperref must know where the first byte starts, this is marked by

+

4. Transform into a form understood by hyperref: +

Hyperref must know where the first byte starts, this is marked by 9 (8 and 9 cannot occur in octal numbers): -

+   
     \002\047 -> \9002\047
     \036\241 -> \9036\241
 
-

-

Optional:

+

Optional: 8 is used for abbreviations: -

+   
     \900 = \80, \901 = \81, \902 = \82, ...
 
     \9002\047 -> \82\047
 
-

-

5. Declare the character with LaTeX: +

+

5. Declare the character with LaTeX: -

+   
 \DeclareTextCompositeCommand{\.}{PU}{a}{\82\047}
 \DeclareTextCompositeCommand{\d}{PU}{a}{\9036\241}
 
@@ -7549,11 +7756,11 @@ class="ec-lmvtt-10">8 is used for abbreviations:
 \end{document}
       
 
-

-

+

+

13.6 Footnotes

-

The footnote support is rather limited. It is beyond the scope to use Footnotes +

The footnote support is rather limited. It is beyond the scope to use \footnotemark and \footnotetext out of order or reusing \footnotemark. Here you can either disa class="ec-lmvtt-10">hyperfootnotes=false or fiddle with internal macros, nasty examples: -

+   
 \documentclass{article}
 \usepackage{hyperref}
 \begin{document}
@@ -7611,12 +7818,12 @@ C%
 
 \end{document}
 
-

+

-

+

13.7 Subordinate counters

-

Some counters do not have unique values and require the value of other counters to be unique. For + id="x1-11800013.7">Subordinate counters +

Some counters do not have unique values and require the value of other counters to be unique. For example, sections or figures might be numbered within chapters or \newtheorem is used with an optional counter argument. Internally LaTeX uses \@addtoreset to catch this situation. Also \numberwithin of package amsmath is caught by hyperref. -

However, if the definition of subordinate counters take place before hyperref is loaded, the old +

However, if the definition of subordinate counters take place before hyperref is loaded, the old meaning of \@addtoreset is called without hyperref’s additions. Then the companion counter macro \theH<counter> can be redefined accordingly. Or move the definition of subordinate counters after hyperref is loaded. -

Example for

Example for \newtheorem, problematic case: -

+   
     \newtheorem{corA}{CorollaryA}[section]
     \usepackage{hyperref}
 
-

Solution a) +

Solution a) -

+   
     \usepackage{hyperref}
     \newtheorem{corA}{CorollaryA}[section}
 
-

Solution b) +

Solution b) -

+   
     \newtheorem{corA}{CorollaryA}[section]
     \usepackage{hyperref}
     \newcommand*{\theHcorA}{\theHsection.\number\value{corA}}
 
-

-

+

+

14 History and acknowledgments

-

The original authors of History and acknowledgments +

The original authors of hyperbasics.tex and hypertex.sty, from which this package descends, are Tanmoy Bhattacharya and Thorsten Ohl. Package

Tanmoy found a great many of the bugs, and (even better) often provided fixes, which has +

Tanmoy found a great many of the bugs, and (even better) often provided fixes, which has made the package more robust. The days spent on RevTeX are entirely due to him! The investigations of Bill Moss into the later versions including native PDF support uncovered a good many bugs, and his testing is appreciated. Hans Hagen provided a lot of insight into PDF. -

Berthold Horn provided help, encouragement and sponsorship for the

Berthold Horn provided help, encouragement and sponsorship for the dvipsone and dviwindo drivers. Sergey Lesenko provided the changes needed for hyper package (developed in parallel with hyperref) showed me solutions for some problems. Hopefully the two packages will combine one day. -

The forms creation section owes a great deal to: T. V. Raman, for encouragement, support and +

The forms creation section owes a great deal to: T. V. Raman, for encouragement, support and ideas; Thomas Merz, whose book Web Publishing with Acrobat/PDF provided crucial insights; D. P. Story, whose detailed article about pdfmarks and forms solved many practical problems; and Hans Hagen, who explained how to do it in pdftex. -

Steve Peter recreated the manual source in July 2003 after it had been lost. -

Especial extra thanks to David Carlisle for the

Steve Peter recreated the manual source in July 2003 after it had been lost. +

Especial extra thanks to David Carlisle for the backref module, the ps2pdf and dviwindo support, frequent general rewrites of my bad code, and for working on changes to the xr package to suit @@ -7706,62 +7913,62 @@ class="ec-lmss-10">hyperref.

15 GNU Free Documentation License

-

Version 1.2, November 2002 -

Copyright GNU Free Documentation License +

Version 1.2, November 2002 +

Copyright © 2000,2001,2002 Free Software Foundation, Inc.
59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. -

+

Preamble

-

The purpose of this License is to make a manual, textbook, or other functional and useful document + id="x1-121000">Preamble +

The purpose of this License is to make a manual, textbook, or other functional and useful document “free” in the sense of freedom: to assure everyone the effective freedom to copy and redistribute it, with or without modifying it, either commercially or noncommercially. Secondarily, this License preserves for the author and publisher a way to get credit for their work, while not being considered responsible for modifications made by others. -

This License is a kind of “copyleft”, which means that derivative works of the document must +

This License is a kind of “copyleft”, which means that derivative works of the document must themselves be free in the same sense. It complements the GNU General Public License, which is a copyleft license designed for free software. -

We have designed this License in order to use it for manuals for free software, because free software +

We have designed this License in order to use it for manuals for free software, because free software needs free documentation: a free program should come with manuals providing the same freedoms that the software does. But this License is not limited to software manuals; it can be used for any textual work, regardless of subject matter or whether it is published as a printed book. We recommend this License principally for works whose purpose is instruction or reference. -

+

15.1 Applicability and definitions

-

This License applies to any manual or other work, in any medium, that contains a notice placed by + id="x1-12200015.1">Applicability and definitions +

This License applies to any manual or other work, in any medium, that contains a notice placed by the copyright holder saying it can be distributed under the terms of this License. Such a notice grants a world-wide, royalty-free license, unlimited in duration, to use that work under the conditions stated herein. The “Document”, below, refers to any such manual or work. Any member of the public is a licensee, and is addressed as “you”. You accept the license if you copy, modify or distribute the work in a way requiring permission under copyright law. -

A “Modified Version” of the Document means any work containing the Document or a +

A “Modified Version” of the Document means any work containing the Document or a portion of it, either copied verbatim, or with modifications and/or translated into another language. -

A “Secondary Section” is a named appendix or a front-matter section of the Document that deals +

A “Secondary Section” is a named appendix or a front-matter section of the Document that deals exclusively with the relationship of the publishers or authors of the Document to the Document’s overall subject (or to related matters) and contains nothing that could fall directly within that overall subject. (Thus, if the Document is in part a textbook of mathematics, a Secondary Section may not explain any mathematics.) The relationship could be a matter of historical connection with the subject or with related matters, or of legal, commercial, philosophical, ethical or political position regarding them. -

The “Invariant Sections” are certain Secondary Sections whose titles are designated, as being those of +

The “Invariant Sections” are certain Secondary Sections whose titles are designated, as being those of Invariant Sections, in the notice that says that the Document is released under this License. If a section does not fit the above definition of Secondary then it is not allowed to be designated as Invariant. The Document may contain zero Invariant Sections. If the Document does not identify any Invariant Sections then there are none. -

The “Cover Texts” are certain short passages of text that are listed, as Front-Cover Texts or +

The “Cover Texts” are certain short passages of text that are listed, as Front-Cover Texts or Back-Cover Texts, in the notice that says that the Document is released under this License. A Front-Cover Text may be at most 5 words, and a Back-Cover Text may be at most 25 words. -

A “Transparent” copy of the Document means a machine-readable copy, represented in a format +

A “Transparent” copy of the Document means a machine-readable copy, represented in a format whose specification is available to the general public, that is suitable for revising the document straightforwardly with generic text editors or (for images composed of pixels) generic paint programs or (for drawings) some widely available drawing editor, and that is suitable for input to text formatters or @@ -7770,7 +7977,7 @@ otherwise Transparent file format whose markup, or absence of markup, has been a discourage subsequent modification by readers is not Transparent. An image format is not Transparent if used for any substantial amount of text. A copy that is not “Transparent” is called “Opaque”. -

Examples of suitable formats for Transparent copies include plain ASCII without markup, Texinfo +

Examples of suitable formats for Transparent copies include plain ASCII without markup, Texinfo input format, LaTeX input format, SGML or XML using a publicly available DTD, and standard-conforming simple HTML, PostScript or PDF designed for human modification. Examples of transparent image formats include PNG, XCF and JPG. Opaque formats include @@ -7778,41 +7985,41 @@ proprietary formats that can be read and edited only by proprietary word process or XML for which the DTD and/or processing tools are not generally available, and the machine-generated HTML, PostScript or PDF produced by some word processors for output purposes only. -

The “Title Page” means, for a printed book, the title page itself, plus such following pages as are +

The “Title Page” means, for a printed book, the title page itself, plus such following pages as are needed to hold, legibly, the material this License requires to appear in the title page. For works in formats which do not have any title page as such, “Title Page” means the text near the most prominent appearance of the work’s title, preceding the beginning of the body of the text. -

A section “Entitled XYZ” means a named subunit of the Document whose title either is precisely +

A section “Entitled XYZ” means a named subunit of the Document whose title either is precisely XYZ or contains XYZ in parentheses following text that translates XYZ in another language. (Here XYZ stands for a specific section name mentioned below, such as “Acknowledgements”, “Dedications”, “Endorsements”, or “History”.) To “Preserve the Title” of such a section when you modify the Document means that it remains a section “Entitled XYZ” according to this definition. -

The Document may include Warranty Disclaimers next to the notice which states that this +

The Document may include Warranty Disclaimers next to the notice which states that this License applies to the Document. These Warranty Disclaimers are considered to be included by reference in this License, but only as regards disclaiming warranties: any other implication that these Warranty Disclaimers may have is void and has no effect on the meaning of this License. -

+

15.2 Verbatim copying

-

You may copy and distribute the Document in any medium, either commercially or noncommercially, + id="x1-12300015.2">Verbatim copying +

You may copy and distribute the Document in any medium, either commercially or noncommercially, provided that this License, the copyright notices, and the license notice saying this License applies to the Document are reproduced in all copies, and that you add no other conditions whatsoever to those of this License. You may not use technical measures to obstruct or control the reading or further copying of the -copies you make or distribute. However, you may accept compensation in exchange for copies. -If you distribute a large enough number of copies you must also follow the conditions in -section 15.3. -

You may also lend copies, under the same conditions stated above, and you may publicly display +copies you make or distribute. However, you may accept compensation in exchange for copies. If you +distribute a large enough number of copies you must also follow the conditions in section 15.3 +. +

You may also lend copies, under the same conditions stated above, and you may publicly display copies. -

+

15.3 Copying in quantity

-

If you publish printed copies (or copies in media that commonly have printed covers) of the Document, + id="x1-12400015.3">Copying in quantity +

If you publish printed copies (or copies in media that commonly have printed covers) of the Document, numbering more than 100, and the Document’s license notice requires Cover Texts, you must enclose the copies in covers that carry, clearly and legibly, all these Cover Texts: Front-Cover Texts on the front cover, and Back-Cover Texts on the back cover. Both covers must also clearly and legibly @@ -7821,10 +8028,10 @@ words of the title equally prominent and visible. You may add other material on addition. Copying with changes limited to the covers, as long as they preserve the title of the Document and satisfy these conditions, can be treated as verbatim copying in other respects. -

If the required texts for either cover are too voluminous to fit legibly, you should put the first ones +

If the required texts for either cover are too voluminous to fit legibly, you should put the first ones listed (as many as fit reasonably) on the actual cover, and continue the rest onto adjacent pages. -

If you publish or distribute Opaque copies of the Document numbering more than 100, you must +

If you publish or distribute Opaque copies of the Document numbering more than 100, you must either include a machine-readable Transparent copy along with each Opaque copy, or state in or with each Opaque copy a computer-network location from which the general network-using public has access to download using public-standard network protocols a complete Transparent copy of the Document, free @@ -7833,75 +8040,75 @@ begin distribution of Opaque copies in quantity, to ensure that this Transparent remain thus accessible at the stated location until at least one year after the last time you distribute an Opaque copy (directly or through your agents or retailers) of that edition to the public. -

It is requested, but not required, that you contact the authors of the Document well before +

It is requested, but not required, that you contact the authors of the Document well before redistributing any large number of copies, to give them a chance to provide you with an updated version of the Document. -

+

15.4 Modifications

-

You may copy and distribute a Modified Version of the Document under the conditions of sections 15.2 + id="x1-12500015.4">Modifications +

You may copy and distribute a Modified Version of the Document under the conditions of sections 15.2 and 15.3 above, provided that you release the Modified Version under precisely this License, with the +href="#x1-12400015.3">15.3 above, provided that you release the Modified Version under precisely this License, with the Modified Version filling the role of the Document, thus licensing distribution and modification of the Modified Version to whoever possesses a copy of it. In addition, you must do these things in the Modified Version: -

+

  1. -

    Use in the Title Page (and on the covers, if any) a title distinct from that of the Document, + class="enumerate" id="x1-125002x1"> +

    Use in the Title Page (and on the covers, if any) a title distinct from that of the Document, and from those of previous versions (which should, if there were any, be listed in the History section of the Document). You may use the same title as a previous version if the original publisher of that version gives permission.

  2. -

    List on the Title Page, as authors, one or more persons or entities responsible for authorship + class="enumerate" id="x1-125004x2"> +

    List on the Title Page, as authors, one or more persons or entities responsible for authorship of the modifications in the Modified Version, together with at least five of the principal authors of the Document (all of its principal authors, if it has fewer than five), unless they release you from this requirement.

  3. -

    State on the Title page the name of the publisher of the Modified Version, as the publisher. + class="enumerate" id="x1-125006x3"> +

    State on the Title page the name of the publisher of the Modified Version, as the publisher.

  4. -

    Preserve all the copyright notices of the Document. + class="enumerate" id="x1-125008x4"> +

    Preserve all the copyright notices of the Document.

  5. -

    Add an appropriate copyright notice for your modifications adjacent to the other copyright + class="enumerate" id="x1-125010x5"> +

    Add an appropriate copyright notice for your modifications adjacent to the other copyright notices.

  6. -

    Include, immediately after the copyright notices, a license notice giving the public permission + class="enumerate" id="x1-125012x6"> +

    Include, immediately after the copyright notices, a license notice giving the public permission to use the Modified Version under the terms of this License, in the form shown in the Addendum below.

  7. -

    Preserve in that license notice the full lists of Invariant Sections and required Cover Texts + class="enumerate" id="x1-125014x7"> +

    Preserve in that license notice the full lists of Invariant Sections and required Cover Texts given in the Document’s license notice.

  8. -

    Include an unaltered copy of this License. + class="enumerate" id="x1-125016x8"> +

    Include an unaltered copy of this License.

  9. -

    Preserve the section Entitled “History”, Preserve its Title, and add to it an item stating at + class="enumerate" id="x1-125018x9"> +

    Preserve the section Entitled “History”, Preserve its Title, and add to it an item stating at least the title, year, new authors, and publisher of the Modified Version as given on the Title Page. If there is no section Entitled “History” in the Document, create one stating the title, year, authors, and publisher of the Document as given on its Title Page, then add an item describing the Modified Version as stated in the previous sentence.

  10. -

    Preserve the network location, if any, given in the Document for public access to a + class="enumerate" id="x1-125020x10"> +

    Preserve the network location, if any, given in the Document for public access to a Transparent copy of the Document, and likewise the network locations given in the Document for previous versions it was based on. These may be placed in the “History” section. You may omit a network location for a work that was published at least four years before the @@ -7910,99 +8117,99 @@ Version:

  11. -

    For any section Entitled “Acknowledgements” or “Dedications”, Preserve the Title of the + class="enumerate" id="x1-125022x11"> +

    For any section Entitled “Acknowledgements” or “Dedications”, Preserve the Title of the section, and preserve in the section all the substance and tone of each of the contributor acknowledgements and/or dedications given therein.

  12. -

    Preserve all the Invariant Sections of the Document, unaltered in their text and in their + class="enumerate" id="x1-125024x12"> +

    Preserve all the Invariant Sections of the Document, unaltered in their text and in their titles. Section numbers or the equivalent are not considered part of the section titles.

  13. -

    Delete any section Entitled “Endorsements”. Such a section may not be included in the + class="enumerate" id="x1-125026x13"> +

    Delete any section Entitled “Endorsements”. Such a section may not be included in the Modified Version.

  14. -

    Do not retitle any existing section to be Entitled “Endorsements” or to conflict in title with + class="enumerate" id="x1-125028x14"> +

    Do not retitle any existing section to be Entitled “Endorsements” or to conflict in title with any Invariant Section.

  15. -

    Preserve any Warranty Disclaimers. + class="enumerate" id="x1-125030x15"> +

    Preserve any Warranty Disclaimers.

-

If the Modified Version includes new front-matter sections or appendices that qualify as Secondary +

If the Modified Version includes new front-matter sections or appendices that qualify as Secondary Sections and contain no material copied from the Document, you may at your option designate some or all of these sections as invariant. To do this, add their titles to the list of Invariant Sections in the Modified Version’s license notice. These titles must be distinct from any other section titles. -

You may add a section Entitled “Endorsements”, provided it contains nothing but endorsements of +

You may add a section Entitled “Endorsements”, provided it contains nothing but endorsements of your Modified Version by various parties–for example, statements of peer review or that the text has been approved by an organization as the authoritative definition of a standard. -

You may add a passage of up to five words as a Front-Cover Text, and a passage of up to 25 words as +

You may add a passage of up to five words as a Front-Cover Text, and a passage of up to 25 words as a Back-Cover Text, to the end of the list of Cover Texts in the Modified Version. Only one passage of Front-Cover Text and one of Back-Cover Text may be added by (or through arrangements made by) any one entity. If the Document already includes a cover text for the same cover, previously added by you or by arrangement made by the same entity you are acting on behalf of, you may not add another; but you may replace the old one, on explicit permission from the previous publisher that added the old one. -

The author(s) and publisher(s) of the Document do not by this License give permission to use their +

The author(s) and publisher(s) of the Document do not by this License give permission to use their names for publicity for or to assert or imply endorsement of any Modified Version. -

+

15.5 Combining documents

-

You may combine the Document with other documents released under this License, under the terms + id="x1-12600015.5">Combining documents +

You may combine the Document with other documents released under this License, under the terms defined in section 15.4 above for modified versions, provided that you include in the combination all of +href="#x1-12500015.4">15.4 above for modified versions, provided that you include in the combination all of the Invariant Sections of all of the original documents, unmodified, and list them all as Invariant Sections of your combined work in its license notice, and that you preserve all their Warranty Disclaimers. -

The combined work need only contain one copy of this License, and multiple identical Invariant +

The combined work need only contain one copy of this License, and multiple identical Invariant Sections may be replaced with a single copy. If there are multiple Invariant Sections with the same name but different contents, make the title of each such section unique by adding at the end of it, in parentheses, the name of the original author or publisher of that section if known, or else a unique number. Make the same adjustment to the section titles in the list of Invariant Sections in the license notice of the combined work. -

In the combination, you must combine any sections Entitled “History” in the various original +

In the combination, you must combine any sections Entitled “History” in the various original documents, forming one section Entitled “History”; likewise combine any sections Entitled “Acknowledgements”, and any sections Entitled “Dedications”. You must delete all sections Entitled “Endorsements”. -

+

15.6 Collections of documents

-

You may make a collection consisting of the Document and other documents released under this License, + id="x1-12700015.6">Collections of documents +

You may make a collection consisting of the Document and other documents released under this License, and replace the individual copies of this License in the various documents with a single copy that is included in the collection, provided that you follow the rules of this License for verbatim copying of each of the documents in all other respects. -

You may extract a single document from such a collection, and distribute it individually under this +

You may extract a single document from such a collection, and distribute it individually under this License, provided you insert a copy of this License into the extracted document, and follow this License in all other respects regarding verbatim copying of that document. -

+

15.7 Aggregation with independent works

-

A compilation of the Document or its derivatives with other separate and independent documents or + id="x1-12800015.7">Aggregation with independent works +

A compilation of the Document or its derivatives with other separate and independent documents or works, in or on a volume of a storage or distribution medium, is called an “aggregate” if the copyright resulting from the compilation is not used to limit the legal rights of the compilation’s users beyond what the individual works permit. When the Document is included in an aggregate, this License does not apply to the other works in the aggregate which are not themselves derivative works of the Document. -

If the Cover Text requirement of section 15.3 is applicable to these copies of the Document, then if +

If the Cover Text requirement of section 15.3 is applicable to these copies of the Document, then if the Document is less than one half of the entire aggregate, the Document’s Cover Texts may be placed on covers that bracket the Document within the aggregate, or the electronic equivalent of covers if the Document is in electronic form. Otherwise they must appear on printed covers that bracket the whole aggregate. -

+

15.8 Translation

-

Translation is considered a kind of modification, so you may distribute translations of the Document + id="x1-12900015.8">Translation +

Translation is considered a kind of modification, so you may distribute translations of the Document under the terms of section 15.4. Replacing Invariant Sections with translations requires special +href="#x1-12500015.4">15.4 . Replacing Invariant Sections with translations requires special permission from their copyright holders, but you may include translations of some or all Invariant Sections in addition to the original versions of these Invariant Sections. You may include a translation of @@ -8011,53 +8218,53 @@ provided that you also include the original English version of this License and versions of those notices and disclaimers. In case of a disagreement between the translation and the original version of this License or a notice or disclaimer, the original version will prevail. -

If a section in the Document is Entitled “Acknowledgements”, “Dedications”, or “History”, the +

If a section in the Document is Entitled “Acknowledgements”, “Dedications”, or “History”, the requirement (section 15.4) to Preserve its Title (section 15.1) will typically require changing the actual +href="#x1-12500015.4">15.4 ) to Preserve its Title (section 15.1 ) will typically require changing the actual title. -

+

15.9 Termination

-

You may not copy, modify, sublicense, or distribute the Document except as expressly provided for under + id="x1-13000015.9">Termination +

You may not copy, modify, sublicense, or distribute the Document except as expressly provided for under this License. Any other attempt to copy, modify, sublicense or distribute the Document is void, and will automatically terminate your rights under this License. However, parties who have received copies, or rights, from you under this License will not have their licenses terminated so long as such parties remain in full compliance. -

+

15.10 Future revisions of this license

-

The Free Software Foundation may publish new, revised versions of the GNU Free Documentation + id="x1-13100015.10">Future revisions of this license +

The Free Software Foundation may publish new, revised versions of the GNU Free Documentation License from time to time. Such new versions will be similar in spirit to the present version, but may differ in detail to address new problems or concerns. See http://www.gnu.org/copyleft/. -

Each version of the License is given a distinguishing version number. If the Document specifies that a +

Each version of the License is given a distinguishing version number. If the Document specifies that a particular numbered version of this License “or any later version” applies to it, you have the option of following the terms and conditions either of that specified version or of any later version that has been published (not as a draft) by the Free Software Foundation. If the Document does not specify a version number of this License, you may choose any version ever published (not as a draft) by the Free Software Foundation. -

+

Addendum: how to use this license for your documents

-

To use this License in a document you have written, include a copy of the License in the document and + id="x1-132000">Addendum: how to use this license for your documents +

To use this License in a document you have written, include a copy of the License in the document and put the following copyright and license notices just after the title page: -

+

-

Copyright

Copyright © YEAR YOUR NAME. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled “GNU Free Documentation License”.

-

If you have Invariant Sections, Front-Cover Texts and Back-Cover Texts, replace the “with...Texts.” +

If you have Invariant Sections, Front-Cover Texts and Back-Cover Texts, replace the “with...Texts.” line with this: -

with the Invariant Sections being LIST THEIR TITLES, with the Front-Cover Texts being LIST, and +

with the Invariant Sections being LIST THEIR TITLES, with the Front-Cover Texts being LIST, and with the Back-Cover Texts being LIST. -

If you have Invariant Sections without Cover Texts, or some other combination of the three, merge +

If you have Invariant Sections without Cover Texts, or some other combination of the three, merge those two alternatives to suit the situation. -

If your document contains nontrivial examples of program code, we recommend releasing these +

If your document contains nontrivial examples of program code, we recommend releasing these examples in parallel under your choice of free software license, such as the GNU General Public License, to permit their use in free software. diff --git a/macros/latex/contrib/hyperref/doc/hyperref-doc.pdf b/macros/latex/contrib/hyperref/doc/hyperref-doc.pdf index 8d6052c2e1..dccdd3fe56 100644 Binary files a/macros/latex/contrib/hyperref/doc/hyperref-doc.pdf and b/macros/latex/contrib/hyperref/doc/hyperref-doc.pdf differ diff --git a/macros/latex/contrib/hyperref/doc/hyperref-doc.tex b/macros/latex/contrib/hyperref/doc/hyperref-doc.tex index c2375a58e7..4fb70918e8 100644 --- a/macros/latex/contrib/hyperref/doc/hyperref-doc.tex +++ b/macros/latex/contrib/hyperref/doc/hyperref-doc.tex @@ -166,7 +166,7 @@ } \makeatother \title{Hypertext marks in \hologo{LaTeX}: a manual for \xpackage{hyperref}} -\date{2022-02-21 v7.00n} +\date{2022-05-13 v7.00o} \begin{document} @@ -180,7 +180,7 @@ As can be already seen in the following introduction, \xpackage{hyperref} has a long history and has seen many changes over time. The introduction mentions workflows, drivers and problems which are no longer relevant, -or only in edge cases. The documentation reflect this varied history: changes +or only in edge cases. The documentation reflects this varied history: changes and extensions and explanations were and are spread over various papers and sources and only incorporated later and so are not always in a coherent order and in sync which each other. @@ -200,8 +200,8 @@ too. \subsection{Restoring removed patches} \xpackage{hyperref} has over time patched quite a number of packages to resolve clashes and incompabilities. -Quite a number are either no longer needed or should be done by by the original packages. -These patches are now slowly removed from \xpackage{hyperref}. It should normally not lead to problems, but +Quite a number are either no longer needed or should be done by the original packages. +Those patches are now slowly removed from \xpackage{hyperref}. It should normally not lead to problems, but in case that the patches should be restored they can be loaded through the package \xpackage{hyperref-patches} which is a part of this bundle. @@ -351,7 +351,7 @@ option used in this document. hyperlink features are nowadays a common requirement. \xpackage{hyperref} patches quite a number of commands from the \LaTeX{} core and from packages to add such features. But this is rather fragile and it add dependencies -on the loading order and can break if the external packages break. +on the loading order and can break if the external packages changes. It is therefore much better if packages add suitable support to their commands directly. Quite a lot packages actually did this, but due to missing documentation of the interface they often looked into the code and then used internal commands not meant as public command. @@ -363,6 +363,7 @@ are naturally interfaces too, they are not explicitly mentioned here again. This section is work in progress. Suggestions or comments are welcome. + \subsection{Counters} Counters play an important part in the code. They are used to create destination names and to define hierarchies like the bookmarks. To work correctly often they require some additional @@ -412,6 +413,95 @@ New drivers must provide this commands with similar arguments. \hyper@linknamed {action}{link text} %Named, only with new generic driver \end{verbatim} +\subsection{Creating targets} + +Internal links and bookmarks need something they can jump to. In a PDF this is normally called +a \emph{destination} (and the primitive is therefor called \cs{pdfdest}), in HTML it is more +common to call this an \emph{anchor} (and the \xpackage{hyperref} uses therefor \cs{hyper@anchor}). +History can not be undone but future commands and descriptions will use the generic +\emph{target} unless the PDF specific destination is meant. + +Targets are created automatically when \cs{refstepcounter} is used and in many cases this +does the right thing and nothing more is needed. +But there are exceptions: +\begin{itemize} +\item A needed target can be missing for example +if a sectioning command doesn't have a number as the starred version is used or due to the +setting of \texttt{secnumdepth}. +\item The target created by the \cs{refstepcounter} can be in the wrong place. +\item The target created by the \cs{refstepcounter} can affect spacing. +\item The target name created by the \cs{refstepcounter} is not usable, e.g. in +\cs{bibitem} where you need a target name bases on the bib-key. +\end{itemize} + +Package authors and users can use the following commands to create and manipulate +targets. The commands are described in more detail in \texttt{hyperref-linktarget.pdf}. + +\begin{verbatim} + \MakeLinkTarget + \LinkTargetOff + \LinkTargetOn + \NextLinkTarget + \SetLinkTargetFilter +\end{verbatim} + +The first four commands will be defined also in \LaTeX{} directly as no-op and so can be +used even if \xpackage{hyperref} is not loaded. + +Until \LaTeX{} is updated package authors can also provide these definitions directly: + +\begin{verbatim} +\ProvideDocumentCommand\MakeLinkTarget{sO{}m}{} +\ProvideDocumentCommand\LinkTargetOn{}{} +\ProvideDocumentCommand\LinkTargetOff{}{} +\ProvideDocumentCommand\NextLinkTarget{m}{} +\end{verbatim} + +\subsection{Patches and how to suppress them} + +The patches to external commands made by +\xpackage{hyperref} can be avoided in toto by loading \xpackage{hyperref} +with the option \texttt{implicit=false}. +But suppressing everything is often too drastic. +There is a work in progress to classify +the patches and to offer interfaces to suppress them in a more granular way. + +\begin{description} +\item[sectioning commands] +\begin{itemize} +\item hyperref patches \cs{@sect}, \cs{@ssect}, \cs{@chapter}, \cs{@schapter}, +\cs{@part}, \cs{@spart}. + +\item It adds to the starred commands a target for a link (with the +prefix \texttt{chapter*} for chapters and \texttt{section*} otherwise). +To the other commands it adds a target for a link +if the sectioning is unnumbered, e.g. because of the \texttt{secnumdepth} +setting or in the front matter. + +\item The patch can be suppressed by defining the command \cs{hyper@nopatch@sectioning}. +This should normally be done only by a class or a package +which provides sectioning commands and adds the targets itself. +Targets have a location on the page and e.g. the section commands should take indents into +account. Targets are needed for bookmarks and the table of contents, +so \cs{@currentHref} should get the correct meaning before +\cs{addcontentsline} is used. + +\item Note that the \xpackage{nameref} package patches these commands too +to add commands to store the title text in \cs{@currentlabelname}. +Check the \xpackage{nameref} documentation about a way to suppress these patches. +\end{itemize} + +\item[footnotes] To enable (partly) the linking of footnotes hyperref redefines or patches various commands, in part package dependant. +\begin{itemize} +\item hyperref redefines \cs{@xfootnotenext}, \cs{@xfootnotemark}, \cs{@mpfootnotetext}, + \cs{@footnotetext}, \cs{@footnotemark}. + If \xpackage{tabularx} is loaded it changes \cs{TX@endtabularx}. If \xpackage{longtable} is loaded it changes \cs{LT@p@ftntext}. + If \xpackage{fancyvfb} is loaded it redefines \cs{V@@footnotetext}. It also redefines \cs{footref} and \cs{maketitle}. + +\item \emph{All} those redefinitions can be suppressed by defining \cs{hyper@nopatch@footnote}. Be aware that this can suppress links but also make unwanted links appear. +\end{itemize} + +\end{description} \section{Package options} @@ -1638,7 +1728,7 @@ an anchor name which can be referenced with a bookmark command. \subsection{Option `localanchorname'} - When an anchor is set (e.g. via \verb|\refstepcounter|, then the + When\marginpar{Deprecated 2022-04-27 v7.00o} an anchor is set (e.g. via \verb|\refstepcounter|, then the anchor name is globally set to the current anchor name. @@ -1659,6 +1749,9 @@ an anchor name which can be referenced with a bookmark command. might be situations, where the anchor name is not available as expected. + The option is deprecated: it makes it difficult for package authors + to add targets for links if it is unclear if \verb|\@currentHref| is + set locally or globally. \subsection{Option `customdriver'} diff --git a/macros/latex/contrib/hyperref/doc/hyperref-linktarget.pdf b/macros/latex/contrib/hyperref/doc/hyperref-linktarget.pdf new file mode 100644 index 0000000000..6ea694970f Binary files /dev/null and b/macros/latex/contrib/hyperref/doc/hyperref-linktarget.pdf differ diff --git a/macros/latex/contrib/hyperref/doc/hyperref.pdf b/macros/latex/contrib/hyperref/doc/hyperref.pdf index 35535edc8f..624a8d3891 100644 Binary files a/macros/latex/contrib/hyperref/doc/hyperref.pdf and b/macros/latex/contrib/hyperref/doc/hyperref.pdf differ diff --git a/macros/latex/contrib/hyperref/doc/nameref.pdf b/macros/latex/contrib/hyperref/doc/nameref.pdf index 4e5fb77f0b..dc0388994a 100644 Binary files a/macros/latex/contrib/hyperref/doc/nameref.pdf and b/macros/latex/contrib/hyperref/doc/nameref.pdf differ diff --git a/macros/latex/contrib/hyperref/hluatex.dtx b/macros/latex/contrib/hyperref/hluatex.dtx index 571728645e..ac45cb0d0c 100644 --- a/macros/latex/contrib/hyperref/hluatex.dtx +++ b/macros/latex/contrib/hyperref/hluatex.dtx @@ -1,6 +1,6 @@ % \iffalse % Source File: hluatex.dtx -% 2022-02-21 v7.00n +% 2022-05-13 v7.00o % % Copyright % 2016-2019 Oberdiek Package Support Group @@ -31,7 +31,7 @@ % % \begin{macrocode} %<*luatex> -%% 2022-02-21 v7.00n +%% 2022-05-13 v7.00o %% force unicode encoding, see issue #101 %% code mostly copied from hxetex.def \HyPsd@LoadUnicode diff --git a/macros/latex/contrib/hyperref/hyperref-linktarget.dtx b/macros/latex/contrib/hyperref/hyperref-linktarget.dtx new file mode 100644 index 0000000000..6ebd482295 --- /dev/null +++ b/macros/latex/contrib/hyperref/hyperref-linktarget.dtx @@ -0,0 +1,584 @@ +% \iffalse meta-comment +% +%% File: hyperref-linktarget.dtx +% +% Copyright (C) 2022-2022 The LaTeX Project +% +% It may be distributed and/or modified under the conditions of the +% LaTeX Project Public License (LPPL), either version 1.3c of this +% license or (at your option) any later version. The latest version +% of this license is in the file +% +% http://www.latex-project.org/lppl.txt +% +% This file is part of the "Hyperref bundle" (The Work in LPPL) +% and all files in that bundle must be distributed together. +% +% ----------------------------------------------------------------------- +% +% The development version of the bundle can be found at +% +% https://github.com/latex3/hyperref +% +% for those people who are interested. +% +%<*driver> +\RequirePackage{pdfmanagement-testphase} +\DocumentMetadata{pdfstandard=A-2b} +\documentclass[full]{l3doc} +\usepackage{array,booktabs,hyperxmp} +\hypersetup{pdfauthor=The LaTeX Project, + pdftitle=Make link targets (hyperref bundle)} +\usepackage[skins]{tcolorbox} +\definecolor{myblue}{RGB}{00,33,99} +\newtcolorbox{doccomment}[1][]{enhanced,frame hidden,colback=myblue!10,fontupper=\footnotesize,#1} +%\newtcbox{smalldoccomment}{size=small,on line,enhanced,frame hidden,colback=myblue!10,fontupper=\footnotesize} +\begin{document} + \DocInput{\jobname.dtx} +\end{document} +% +% \fi +% \title{^^A +% Make link targets ^^A +% \\ +% hyperref bundle +% } +% +% \author{^^A +% The \LaTeX{} Project\thanks +% {^^A +% E-mail: +% \href{mailto:latex-team@latex-project.org} +% {latex-team@latex-project.org}^^A +% }^^A +% } +% +% \date{Version v7.00o, released 2022-05-13} +% +% \maketitle +% \begin{documentation} +% \section{Commands to create and adapt targets} +% This module provides commands to create targets. +% Their goal is to unify and replace +% a number of user and internal hyperref commands and to provide a clear +% interface for package authors and users. +% \subsection{The main command} +% \begin{function}{\MakeLinkTarget} +% \begin{syntax} +% \cs{MakeLinkTarget}\oarg{prefix}\Arg{counter}\\ +% \cs{MakeLinkTarget}\oarg{prefix}\{\} \\ +% \cs{MakeLinkTarget}*\Arg{manual target} +% \end{syntax} +% \end{function} +% +% \cs{MakeLinkTarget} creates a target for an internal link, (called a destination +% if a PDF is created). In vertical mode the target is created where the command is issued, +% in horizontal mode it is typically (in a PDF) raised by the current \cs{normalbaselineskip} +% (similar to the targets created by \cs{refstepcounter}). +% +% The arguments allow to control the name of the target/anchor/destination. While technically +% any unique name (e.g. some number) would work, names related to the actual counter both +% simplifies the debugging and referencing destinations from external documents. Also \cs{autoref} +% makes use of the name to identify the type of a label: it splits off the part until the first period and +% then looks up for a defined name. So if you create a target name \texttt{ABC.CDE.1.2}, \cs{autoref} tries +% to use \cs{ABCautorefname}. +% +% The name is then stored \emph{globally}\footnote{This means that the deprecated \pkg{hyperref} +% option \texttt{localanchorname} is ignored.} in \cs{@currentHref} and used for example in the +% next \cs{label}. +% A target name must be unique across a document. It is up to the users and package +% authors to ensure this by following the advices given below. +% +% \begin{doccomment} +% A global \cs{@currentHref} means that the target name and +% the label name can get out of sync: if +% for example a numbered equation is used between a section and a \cs{label}, +% a reference will show the section number but a link will jump to the equation. +% +% \pkg{hyperref} allows to switch to local assignment of \cs{@currentHref} +% and so to align with the other \cs{label} values with the +% (so-called experimental) option \texttt{localanchorname}. But while on a document +% level this can work, it makes it difficult for package authors +% to add reliable link targets that can be referenced if it is unclear +% if the assignment is local or global. +% +% So the choice was made to set \cs{@currentHref} globally always +% (and to deprecate \texttt{localanchorname}): +% This is the default in \pkg{hyperref} since ever and it didn't lead to +% major problems. It has the advantage to +% allow to put an anchor in a box and move it around. E.g. in the following +% example the two \cs{ref} commands +% reference the section but the second jumps to the top of the rule: +% +% \begin{verbatim} +% \section{An example}\label{sec:title} +% \newpage \raisebox{3cm}[0pt][0pt]{\phantomsection}% +% \rule{1cm}{3cm}\label{sec:page2} +% page two +% \newpage +% \ref{sec:title}, \ref{sec:page2} +% \end{verbatim} +% +% \end{doccomment} +% +% +% +% \subsection*{Target names from counters} +% \begin{syntax} +% \cs{MakeLinkTarget}\oarg{prefix}\Arg{counter} +% \end{syntax} +% +% If the mandatory argument is not empty it is interpreted as a \LaTeX{} counter name. +% The counter is not stepped by the command. +% If the \meta{counter} doesn't exist, a warning is issued and no target is created. +% +% The target name is created as expansion of +% \texttt{\meta{prefix}.\cs{theH\meta{counter}}} (and so both the prefix +% and \cs{theH\meta{counter}} should be expandable). +% The default prefix is the counter name \meta{counter}. +% +% For example: +% +% \medskip +% \noindent +% {\ttfamily +% \begin{tabular}{@{}l@{}ll} +% \cs{MakeLinkTarget}\{section\} &$\Rightarrow$ section.\cs{theHsection} & $\Rightarrow$ section.1.1\\ +% \cs{MakeLinkTarget}[sec]\{section\} &$\Rightarrow$ sec.\cs{theHsection} +% \end{tabular} +% } +% \medskip +% +% \cs{theH\meta{counter}} must be defined: +% \cs{MakeLinkTarget} does not try like other \pkg{hyperref} commands to +% construct the command on-the-fly but warns and creates no +% target if it doesn't exist. +% Be aware that if \pkg{hyperref} is used with the option \texttt{implicit=false} it +% does not predefine and create \cs{theH\meta{counter}} representations +% so targets could be missing!\footnote{It is planed that \LaTeX{} directly defines +% the \cs{theH\meta{counter}} for all counters created with \cs{newcounter}.} +% +% +% Typically \cs{theH\meta{counter}} should expand to numbers +% and periods and make use of parent counters to give a unique representation. +% The prefix can be a more or less arbitrary string. Spaces are allowed (but not +% really recommended). +% A star at the end should be avoided to prevent clashes with +% the names created when the internal counter is used. +% The use of non-ASCII chars with pdflatex depends on the \LaTeX{} version: With newer +% version many of them are safe and with a format 2022-06-01 or newer +% it should be even possible to use chars in a target name which +% are undeclared and can't be typeset in the document. +% But despite the fact that it works, it is recommended to stick to ASCII +% and to avoid spaces: It is unclear if all PDF viewers and editors can handle +% them, also they give rather unreadable names in the PDF like |(\360\237\246\206)| +% and so make debugging harder. +% +% +% Using a special prefix can be useful if the actual counter +% has an internal name like e.g. \texttt{tcb@cnt@example}. +% \texttt{\cs{MakeLinkTarget}[tcbexample]\{tcb@cnt@example\}} then gives +% a nicer looking target name. Care should be taken not to clash +% with existing counter names and names for \cs{autoref} +% should be adjusted if needed. +% +% +% \subsection*{Targets using the internal counter} +% \begin{syntax} +% \cs{MakeLinkTarget}\oarg{prefix}\{\} +% \end{syntax} +% +% If the mandatory argument is empty a target name based on +% an internal absolute counter is created. +% The counter is stepped at every call (and also by other \pkg{hyperref} commands). +% The prefix is added with a star and a period (see above for +% the allowed chars). The default prefix is \texttt{page}. +% +% +% \begin{syntax} +% \begin{tabular}{@{}ll} +% \cs{MakeLinkTarget}\texttt{\{\}} &$\Rightarrow$ \texttt{page*.1}\\ +% \cs{MakeLinkTarget}\texttt{\{\}} &$\Rightarrow$ \texttt{page*.2}\\ +% \cs{MakeLinkTarget}[section]\texttt{\{\}} &$\Rightarrow$ \texttt{section*.3}\\ +% \end{tabular} +% \end{syntax} +% +% As an example the +% \pkg{hyperref} command \cs{phantomsection} is equivalent to +% \texttt{\cs{MakeLinkTarget}[section]\{\}}. +% +% \subsection*{Manual target names} +% \begin{syntax} +% \cs{MakeLinkTarget}\texttt{*}\Arg{manual target name} +% \end{syntax} +% +% If the starred variant is used a manual target name is created. +% +% \texttt{\cs{MakeLinkTarget}*\{destname\}} is roughly equivalent to +% \texttt{\cs{hypertarget}\{destname\}\{\}} but unlike the +% latter it also raises the destination in a PDF, there is no text argument, +% and---most importantly--it updates \cs{@currentHref}, that means the target +% name is stored by the next \cs{label}, something that \cs{hypertarget} doesn't do). +% The target name is expanded, see the remarks about prefixes above regarding +% the allowed chars. +% +% When creating manually targets care should be taken to avoid +% clashes with automatic target names. +% As all automatic targets contain at least one period, +% names without a period are recommended. +% +% \begin{doccomment} +% The second (text) argument of \cs{hypertarget} is only used +% if the option \texttt{nesting} is set to true---but this option isn't used +% anywhere (in PDF the idea of a text in the anchor or nesting of anchors +% makes no sense anyway but also when html is produced e.g. with \texttt{make4ht} +% it is not used). So probably the option will be deprecated and removed. +% \end{doccomment} +% +% \subsection{Manipulate the next target name} +% +% Targets are sometimes created in places where it is difficult to inject +% a label to retrieve the target name for use e.g. in a bookmark. +% The next command allows to change the next target name: +% +% \begin{function}{\NextLinkTarget} +% \begin{syntax} +% \cs{NextLinkTarget}\Arg{manual target} +% \end{syntax} +% +% The command changes the next target name to \meta{manual target}. +% It does the same as the \cs{hypersetup} key +% \texttt{next-anchor} and also affects targets created by \cs{refstepcounter}. +%\end{function} +% +% A use case are bookmarks for the table of contents +% where you know that the heading will create +% a target: +% +% \begin{verbatim} +% \documentclass{book} +% \usepackage{bookmark} +% +% \begin{document} +% \bookmark[dest=toc]{Table of Contents} +% \NextLinkTarget{toc} +% \tableofcontents +% \chapter{A} +% \end{document} +% \end{verbatim} +% +% +% \subsection*{Hooks} +% +% \begin{function}{makelinktarget} +% The hook \texttt{makelinktarget}\footnote{The hook uses a plain name +% without reference to the \pkg{hyperref} package in anticipation of the move +% of this code into the \LaTeX{} kernel.} +% is executed at the begin of the commands. It is inside a group and +% so can be used to locally change settings. See below for an example. +% \end{function} +% +% +% \subsection*{Suppressing the target} +% +% \begin{function}{\LinkTargetOn,\LinkTargetOff} +% \begin{syntax} +% \cs{LinkTargetOn}\\ +% \cs{LinkTargetOff} +% \end{syntax} +% \end{function} +% +% +% This commands allows to switch on and off locally the creation of a target with +% \cs{MakeLinkTarget}. +% The switches are also honored by \cs{refstepcounter}\footnote{currently +% \cs{refstepcounter} doesn't use \cs{MakeLinkTarget} itself but this +% will probably change.}. +% This allows to suppress the target +% from an internal \cs{refstepcounter} and replace it by some manual version +% by using grouping: +% +% \begin{verbatim} +% \LinkTargetOff %suppress anchor in internal refstepcounter +% ... +% \refstepcounter{...} +% ... +% {\LinkTargetOn\MakeLinkTarget*{mytarget}} %create manual anchor +% ... +% \LinkTargetOn +% \end{verbatim} +% +% +% \subsection*{Raising the target} +% +% In horizontal mode the target is raised by the current value of \cs{normalbaselineskip}. +% +% To change this the hook can be used e.g. to double the value everywhere: +% +% \begin{verbatim} +% \AddToHook{cmd/MakeLinkTarget/before} +% {\setlength\normalbaselineskip{2\normalbaselineskip}} +% \leavevmode\MakeLinkTarget{section} +% \end{verbatim} +% +% +% \subsection{Changing all target names} +% +% \begin{function}{\SetLinkTargetFilter} +% \begin{syntax} +% \cs{SetLinkTargetFilter}\Arg{filter code using \#1} +% \end{syntax} +% \end{function} +% +% \pkg{hyperref} provides the command \cs{HyperDestNameFilter} to change all target names. +% It is applied\footnote{In the backend code, so it depends actually on +% the driver if it is honored or not} +% to every target name and is also used in references, +% but it doesn't change \cs{@currentHref} itself. So after +% +% \begin{verbatim} +% \renewcommand*{\HyperDestNameFilter}[1]{docA-#1} +% \end{verbatim} +% +% you would get in the PDF everywhere the prefix \texttt{docA} +% +% \begin{verbatim} +% %destination names: +% << +% /Names [(docA-Doc-Start) 7 0 R (docA-chapter.1) 8 0 R (docA-page.1) 6 0 R] +% /Limits [(docA-Doc-Start) (docA-page.1)] +% >> +% %link to a chapter +% /A << /S /GoTo /D (docA-chapter.1) >> +% %link from the bookmark +% << /S /GoTo /D (docA-chapter.1) >> +% \end{verbatim} +% +% but the label info in the \texttt{.aux} would show only \texttt{chapter.1}: +% +% \begin{verbatim} +% \newlabel{chap}{{1}{1}{Title}{chapter.1}{}} +% \end{verbatim} +% +% and so \cs{autoref} is still able to extract the counter name. +% +% \cs{MakeLinkTarget} uses this filter too: it would break internal link +% commands if it would ignore it. +% To stay compatible with future development the filter should not be redefined +% directly but be set with \cs{SetLinkTargetFilter}. +% The command can only be used in the preamble. +% +% \begin{verbatim} +% \SetLinkTargetFilter{docA-#1} +% \end{verbatim} +% \end{documentation} +% +% \begin{implementation} +% \section{Implementation} +% \begin{macrocode} +%<@@=hyp> +%<*header> +\ProvidesExplPackage{hyperref-linktarget}{2022-05-13}{v7.00o} + {Making targets, destinations and anchors -- module of hyperref} +% +% \end{macrocode} +%\ExplSyntaxOn +% \subsection{Variables} +% \begin{macrocode} +%<*package> +% \end{macrocode} +% \begin{macro}{\l_@@_target_create_bool} +% This boolean decides if a target is created at all. +% (it will replace \cs{@skiphyperref} long term) +% \begin{macrocode} +\bool_new:N \l_@@_target_create_bool +\bool_set_true:N \l_@@_target_create_bool +% \end{macrocode} +% \end{macro} +% \begin{macro}{makelinktarget} +% This hook is used to adapt for example the raising +% \begin{macrocode} +\hook_new:n {makelinktarget} +% \end{macrocode} +% \end{macro} +% \subsection{Helper commands} +% \begin{macro}{\_@@_target_raise:n} +% We need a command to raise the targets. +% It is mostly a copy from the hyperref command +% but we removed the hooks and use \cs{normalbaselineskip}. +% TODO: The code to save/restore the space factor should +% be replaced by kernel methods. +% \begin{macrocode} +\cs_new_protected:Npn \@@_target_raise:n #1 + { + \mode_if_vertical:TF + { #1 } + { + \Hy@SaveSpaceFactor + \penalty\@M + \smash + { + \box_move_up:nn + { \normalbaselineskip } + { + \hbox:n + { + \Hy@RestoreSpaceFactor + #1 + \Hy@SaveSpaceFactor + } + } + } + \Hy@RestoreSpaceFactor + } + } +% \end{macrocode} +% \end{macro} +% \subsection{Providing the commands} +% In anticipation of the addition of the main commands to the +% kernel as no-ops we provide them: +% \begin{macrocode} +\ProvideDocumentCommand\LinkTargetOn{}{} +\ProvideDocumentCommand\LinkTargetOff{}{} +\ProvideDocumentCommand\MakeLinkTarget{sO{}m}{} +\ProvideDocumentCommand\NextLinkTarget{m}{} +% \end{macrocode} +% +% \subsection{Target on and off switch} +% \begin{macro}{\LinkTargetOn,\LinkTargetOff} +% \begin{macrocode} +\RenewDocumentCommand\LinkTargetOn {} + { + \bool_set_true:N \l_@@_target_create_bool + } + + +\RenewDocumentCommand\LinkTargetOff {} + { + \bool_set_false:N \l_@@_target_create_bool + } +% \end{macrocode} +% \end{macro} +% +% \begin{macro}{\MakeLinkTarget} +% This is the main command. To keep it simple +% we allow an optional argument also for the manual +% command but ignore it for now. +% \begin{macrocode} +\RenewDocumentCommand\MakeLinkTarget {s O{} m} + { + \bool_if:NT \l_@@_target_create_bool + { + \group_begin: + \hook_use:n { makelinktarget } + \IfBooleanTF {#1} + { + \@@_target_manual:nn {#2}{#3} + } + { + \@@_target_counter:nn {#2}{#3} + } + \group_end: + } + } +% \end{macrocode} +% \end{macro} +% \begin{macro}{\@@_target_manual:nn} +% This is the code for the manual target name. The prefix is simply ignored. +% \begin{macrocode} +\cs_new_protected:Npn \@@_target_manual:nn #1 #2 %#1 prefix, #2 name + { + \tl_gset:Nx \@currentHref {#2} + \hook_use:n {__hyp/target/setname} + \@onelevel@sanitize\@currentHref + \@@_target_raise:n {\hyper@anchorstart{\@currentHref}\hyper@anchorend} + } +% \end{macrocode} +% \end{macro} +% \begin{macro}{\@@_target_counter:nn} +% The code for counter related targets must be split into the case +% where the internal counter is used, and where a user counter is used +% \begin{macrocode} +\cs_new_protected:Npn \@@_target_counter:nn #1 #2 %#1 prefix, #2 counter or empty + { + \tl_if_blank:nTF {#2} + { + \@@_target_counter_anon:n {#1} + } + { + \@@_target_counter_doc:nn {#1}{#2} + } + } + +% \end{macrocode} +%\end{macro} +%\begin{macro}{\@@_target_counter_anon:n} +% This creates the target with the internal count. +% We use the same (tex) count \cs{Hy@linkcounter} than the other +% hyperref commands. +% \begin{macrocode} +\cs_new_protected:Npn \@@_target_counter_anon:n #1 + { + \int_gincr:N\Hy@linkcounter + \tl_gset:Nx \@currentHref + {\tl_if_blank:nTF{#1}{page}{#1}*.\int_use:N\Hy@linkcounter} + \hook_use:n {__hyp/target/setname} + \@onelevel@sanitize\@currentHref + \@@_target_raise:n {\hyper@anchorstart{\@currentHref}\hyper@anchorend} + } +% \end{macrocode} +% \end{macro} + +% \begin{macro}{\@@_target_counter_doc:nn} +% And now the target with the user counter. We warn if +% the counter or the representation doesn't exist +% \begin{macrocode} +\cs_new_protected:Npn \@@_target_counter_doc:nn #1 #2 + { + \bool_lazy_and:nnTF { \cs_if_free_p:c {c@#2} } { \cs_if_free_p:c {theH#2} } + { + \PackageWarning {hyperref}{Counter~'#2'~or~the~representation~'\string\theH#2`\MessageBreak + don't~exist.~No~target~created.}{} + } + { + \tl_gset:Nx \@currentHref {\tl_if_blank:nTF{#1}{#2}{#1}.\use:c{theH#2}} + \hook_use:n {@@/target/setname} + \@onelevel@sanitize\@currentHref + \@@_target_raise:n {\hyper@anchorstart{\@currentHref}\hyper@anchorend} + } + } +% \end{macrocode} +% \end{macro} +% +% \begin{macro}{\NextLinkTarget} +% we rely on the internal hook to set the next target name: +% \begin{macrocode} +\RenewDocumentCommand\NextLinkTarget {m} + { + \hook_gput_next_code:nn {@@/target/setname} + { + \tl_gset:Nx \@currentHref {#1} + } + } + +% \end{macrocode} +% \end{macro} +% \begin{macro}{\SetLinkTargetFilter} +% This is an interface to \cs{HyperDestNameFilter} +% \begin{macrocode} +\NewDocumentCommand\SetLinkTargetFilter {m} + { + \cs_set:Npn \HyperDestNameFilter ##1 {#1} + } +\@onlypreamble \SetLinkTargetFilter +% \end{macrocode} +% \end{macro} +% +% \begin{macrocode} +% +%<@@=>. +% \end{macrocode} +%\ExplSyntaxOff +%\end{implementation} +% \Finale +\endinput diff --git a/macros/latex/contrib/hyperref/hyperref-patches.dtx b/macros/latex/contrib/hyperref/hyperref-patches.dtx index cf6dfbb393..446493224c 100644 --- a/macros/latex/contrib/hyperref/hyperref-patches.dtx +++ b/macros/latex/contrib/hyperref/hyperref-patches.dtx @@ -5,7 +5,7 @@ %% 1995-2001 Sebastian Rahtz, with portions written by David Carlisle and Heiko Oberdiek, %% 2001-2015 Heiko Oberdiek. %% 2016-2019 Oberdiek Package Support Group -%% 2019-2021 LaTeX Project +%% 2019-2022 LaTeX Project %% https://github.com/latex3/hyperref/issues %% %% This file is part of the `Hyperref Bundle'. diff --git a/macros/latex/contrib/hyperref/hyperref.dtx b/macros/latex/contrib/hyperref/hyperref.dtx index 20414ef7e8..6096fad1d1 100644 --- a/macros/latex/contrib/hyperref/hyperref.dtx +++ b/macros/latex/contrib/hyperref/hyperref.dtx @@ -1,31 +1,31 @@ % \iffalse %% File: hyperref.dtx -%% Copyright -%% 1995-2001 Sebastian Rahtz, with portions written by David Carlisle and Heiko Oberdiek, -%% 2001-2015 Heiko Oberdiek. -%% 2016-2019 Oberdiek Package Support Group -%% 2019-2021 LaTeX Project -%% https://github.com/latex3/hyperref/issues -%% -%% This file is part of the `Hyperref Bundle'. -%% ------------------------------------------- -%% -%% This work may be distributed and/or modified under the -%% conditions of the LaTeX Project Public License, either version 1.3 -%% of this license or (at your option) any later version. -%% The latest version of this license is in -%% http://www.latex-project.org/lppl.txt -%% and version 1.3 or later is part of all distributions of LaTeX -%% version 2005/12/01 or later. -%% -%% This work has the LPPL maintenance status `maintained'. -%% -%% The Current Maintainer of this work is the LaTeX Project. -%% -%% The list of all files belonging to the `Hyperref Bundle' is -%% given in the file `manifest.txt'. -%% -%\NeedsTeXFormat{LaTeX2e}[1995/12/01] +% Copyright +% 1995-2001 Sebastian Rahtz, with portions written by David Carlisle and Heiko Oberdiek, +% 2001-2015 Heiko Oberdiek. +% 2016-2019 Oberdiek Package Support Group +% 2019-2022 LaTeX Project +% https://github.com/latex3/hyperref/issues +% +% This file is part of the `Hyperref Bundle'. +% ------------------------------------------- +% +% This work may be distributed and/or modified under the +% conditions of the LaTeX Project Public License, either version 1.3 +% of this license or (at your option) any later version. +% The latest version of this license is in +% http://www.latex-project.org/lppl.txt +% and version 1.3 or later is part of all distributions of LaTeX +% version 2005/12/01 or later. +% +% This work has the LPPL maintenance status `maintained'. +% +% The Current Maintainer of this work is the LaTeX Project. +% +% The list of all files belonging to the `Hyperref Bundle' is +% given in the file `manifest.txt'. +% +%\NeedsTeXFormat{LaTeX2e}[2020/10/01] %\ProvidesPackage{hyperref} %\ProvidesPackage{nohyperref} %\ProvidesFile{hyperref.drv} @@ -52,7 +52,7 @@ %\ProvidesFile{puvnenc.def} %\ProvidesFile{puarenc.def} %\ProvidesFile{psdextra.def} -% [2022-02-21 v7.00n % +% [2022-05-13 v7.00o % % Hypertext links for LaTeX] % Dummy hyperref (SR)] % Hyperref documentation driver file] @@ -1036,6 +1036,23 @@ % converted to the final form. % \end{enumerate} % +% \cs{MakeUppercase} and \cs{MakeLowercase} do not work by expansion in +% legacy code but if the expl3 code is available we can handle them. +% +% \begin{macro}{\MakeUppercaseUnsupportedInPdfStrings} +% \begin{macro}{\MakeLowercaseUnsupportedInPdfStrings} +% \begin{macrocode} +\ExplSyntaxOn +\@ifundefined{text_uppercase:n}{} + { + \def\MakeUppercaseUnsupportedInPdfStrings#1{\use:e {\text_uppercase:n {#1}}} + \def\MakeLowercaseUnsupportedInPdfStrings#1{\use:e {\text_lowercase:n {#1}}} + } +\ExplSyntaxOff +% \end{macrocode} +% \end{macro} +% \end{macro} +% % \begin{macro}{\pdfstringdef} % \cs{pdfstringdef} works on the tokens in |#2| and converts them to % a PDF string as far as possible: @@ -4219,13 +4236,6 @@ % % \section{Support of other packages} % -% \subsection{Class memoir} -% -% \begin{macrocode} -\@ifclassloaded{memoir}{% - \Hy@AtEndOfPackage{\RequirePackage{memhfixc}}% -}{} -% \end{macrocode} % % \subsection{Package subfigure} % Added fix for version 2.1. Here \cmd{\sub@label} is defined. @@ -4258,10 +4268,6 @@ \fi \@esphack }% - \@ifpackagelater{subfigure}{2002/03/26}{}{% - \providecommand*{\toclevel@subfigure}{1}% - \providecommand*{\toclevel@subtable}{1}% - }% }% }{} % \end{macrocode} @@ -4712,6 +4718,9 @@ % \end{macrocode} % \begin{macrocode} \define@key{Hyp}{localanchorname}[true]{% + \Hy@WarningNoLine{% + Option `localanchorname' is deprecated% + }% \Hy@boolkey{localanchorname}{#1}% } % \end{macrocode} @@ -7288,23 +7297,6 @@ \Hy@DisableOption{colorlinks}% \Hy@DisableOption{frenchlinks}% \ifHy@texht - \long\def\@firstoffive#1#2#3#4#5{#1}% - \long\def\@secondoffive#1#2#3#4#5{#2}% - \long\def\@thirdoffive#1#2#3#4#5{#3}% - \long\def\@fourthoffive#1#2#3#4#5{#4}% - \long\def\@fifthoffive#1#2#3#4#5{#5}% - \providecommand*\@safe@activestrue{}% - \providecommand*\@safe@activesfalse{}% - \def\T@ref#1{% - \Hy@safe@activestrue - \expandafter\@setref\csname r@#1\endcsname\@firstoffive{#1}% - \Hy@safe@activesfalse - }% - \def\T@pageref#1{% - \Hy@safe@activestrue - \expandafter\@setref\csname r@#1\endcsname\@secondoffive{#1}% - \Hy@safe@activesfalse - }% \else \ifHy@typexml \else @@ -7312,36 +7304,34 @@ \RequirePackage{nameref}[2012/07/28]% }% \fi +% \end{macrocode} +% With active links we have to redefine the starred versions +% to avoid that they get links from the include |\@setref|: +% \begin{macrocode} + \ifHy@implicit + \let \T@Ref\HyRef@Ref + \def\@refstar#1{% + \NR@ref@showkeys{#1}% + \HyRef@StarSetRef{#1}\@firstoffive + } + \def\@pagerefstar#1{% + \NR@ref@showkeys{#1}% + \HyRef@StarSetRef{#1}\@secondoffive + } + \def\@namerefstar#1{% + \NR@ref@showkeys{#1}% + \HyRef@StarSetRef{#1}\@thirdoffive + } + \def\@Refstar#1{% + \NR@ref@showkeys{#1}% + \HyRef@StarSetRef{#1}\HyRef@MakeUppercaseFirstOfFive + }% + \else + \fi \fi - \DeclareRobustCommand\ref{% - \@ifstar\@refstar\T@ref - }% - \DeclareRobustCommand\pageref{% - \@ifstar\@pagerefstar\T@pageref - }% -% \@ifclassloaded{memoir}{% -% \ltx@IfUndefined{@mem@titlerefnolink}\ltx@secondoftwo{% -% \ltx@IfUndefined{@mem@titleref}\ltx@secondoftwo\ltx@firstoftwo -% }% -% }\ltx@secondoftwo -% {% -% \DeclareRobustCommand*{\nameref}{% -% \@ifstar\@mem@titlerefnolink\@mem@titleref -% }% -% }{% - \DeclareRobustCommand*{\nameref}{% - \@ifstar\@namerefstar\T@nameref - }% -% }% - \ifHy@implicit - \else - \let \@pagerefstar\T@pageref - \let \@refstar\T@ref - \let \@namerefstar\T@nameref - \fi } \Hy@AtBeginDocument{% - \ifHy@texht + \ifx\ReadBookmarks\relax \else \Hy@CatcodeWrapper\ReadBookmarks \fi @@ -9384,15 +9374,18 @@ % \end{macrocode} % Ignore star from referencing macros: +% This is only needed if LaTeX doesn't define the starred +% variants itself. % \begin{macrocode} -\LetLtxMacro\NoHy@OrgRef\ref -\DeclareRobustCommand*{\ref}{% +\@ifundefined{@kernel@ref} + {\LetLtxMacro\NoHy@OrgRef\ref + \DeclareRobustCommand*{\ref}{% \@ifstar\NoHy@OrgRef\NoHy@OrgRef -} -\LetLtxMacro\NoHy@OrgPageRef\pageref -\DeclareRobustCommand*{\pageref}{% + } + \LetLtxMacro\NoHy@OrgPageRef\pageref + \DeclareRobustCommand*{\pageref}{% \@ifstar\NoHy@OrgPageRef\NoHy@OrgPageRef -} + }}{} % \end{macrocode} % % \section{Localized nullifying of package} @@ -9482,16 +9475,21 @@ \long\def\@gobbleopt[#1]{} \let\hyperpage\@empty % \end{macrocode} -% Ignore star from referencing macros: +% Ignore star from referencing macros. This is only +% needed in older formats. % \begin{macrocode} -\LetLtxMacro\NoHy@OrgRef\ref -\DeclareRobustCommand*{\ref}{% - \@ifstar\NoHy@OrgRef\NoHy@OrgRef -} -\LetLtxMacro\NoHy@OrgPageRef\pageref -\DeclareRobustCommand*{\pageref}{% - \@ifstar\NoHy@OrgPageRef\NoHy@OrgPageRef -} +\@ifl@t@r\fmtversion{2022-06-01} + {}% + {% + \LetLtxMacro\NoHy@OrgRef\ref + \DeclareRobustCommand*{\ref}{% + \@ifstar\NoHy@OrgRef\NoHy@OrgRef + } + \LetLtxMacro\NoHy@OrgPageRef\pageref + \DeclareRobustCommand*{\pageref}{% + \@ifstar\NoHy@OrgPageRef\NoHy@OrgPageRef + }% + } % % \end{macrocode} % @@ -9508,8 +9506,10 @@ % a document. % % Write some stuff into the aux file so if the next run is done -% without hyperref, then |\contentsline| and |\newlabel| are defined +% without hyperref, then |\newlabel| is defined % to cope with the extra arguments. +% change 2022-03-28: removed the code for |\contentsline|, it is no +% longer needed as |\contentsline| has now always four arguments. % \begin{macrocode} \if@filesw \ifHy@typexml @@ -9522,11 +9522,6 @@ \string\AtBeginDocument}^^J% \string\HyperFirstAtBeginDocument{% \string\ifx\string\hyper@anchor\string\@undefined^^J% - \string\global\string\let\string\oldcontentsline\string\contentsline^^J% - \string\gdef\string\contentsline% - \string#1\string#2\string#3\string#4{% - \string\oldcontentsline% - {\string#1}{\string#2}{\string#3}}^^J% \string\global\string\let\string\oldnewlabel\string\newlabel^^J% \string\gdef\string\newlabel\string#1\string#2{% \string\newlabelxx{\string#1}\string#2}^^J% @@ -9540,7 +9535,6 @@ % \begin{macrocode} \string\AtEndDocument{% \string\ifx\string\hyper@anchor\string\@undefined^^J% - \string\let\string\contentsline\string\oldcontentsline^^J% \string\let\string\newlabel\string\oldnewlabel^^J% \string\fi% }^^J% @@ -9561,28 +9555,12 @@ % Now the code to deal with adding the hyperref package to a document % with aux and toc written the standard way. % -% If hyperref was used last time, do nothing. If it was not used, -% or an old version of hyperref was used, don't use that TOC at all -% but generate a warning. Not ideal, but better than failing -% with pre-5.0 hyperref TOCs. +% If hyperref was used last time, do nothing. +% change 2022-03-28: removed the test for an old toc. +% |\contentsline| +% has now always four arguments. % \begin{macrocode} \ifx\hyper@last\@undefined - \def\@starttoc#1{% - \begingroup - \makeatletter - \ltx@ifpackageloaded{parskip}{\parskip\z@}{}% - \IfFileExists{\jobname.#1}{% - \Hy@WarningNoLine{% - old #1 file detected, not used; run LaTeX again% - }% - }{}% - \if@filesw - \expandafter\newwrite\csname tf@#1\endcsname - \immediate\openout\csname tf@#1\endcsname \jobname.#1\relax - \fi - \@nobreakfalse - \endgroup - }% \def\newlabel#1#2{\@newl@bel r{#1}{#2{}{}{}{}}}% \fi } @@ -10256,7 +10234,7 @@ % \end{macrocode} % % \begin{macrocode} -%<*package> +%<*packageEnd> % \end{macrocode} % % \begin{macrocode} @@ -10312,6 +10290,7 @@ \Hy@CounterExists{section}{% \providecommand\theHequation{\theHsection.\arabic{equation}}% } +\providecommand\theHequation{\arabic{equation}}% \Hy@CounterExists{part}{% \providecommand\theHpart{\arabic{part}}% } @@ -10366,36 +10345,42 @@ % \begin{macrocode} \let\H@refstepcounter\refstepcounter \edef\name@of@eq{equation}% -\edef\name@of@slide{slide}% % \end{macrocode} % We do not want the handler for |\refstepcounter| to cut in % during the processing of |\item| (we handle that separately), % so we provide a bypass conditional. +% change 2022-04-22: removed test for the slide counter +% and for the equation name. +% change 2022-05-02: added the new boolean set by +% |\LinkTargetOn/\LinkTargetOff| +% % \begin{macrocode} \newif\if@hyper@item \newif\if@skiphyperref \@hyper@itemfalse \@skiphyperreffalse +\ExplSyntaxOn \def\refstepcounter#1{% - \ifHy@pdfstring - \else + \legacy_if:nF {Hy@pdfstring} + { \H@refstepcounter{#1}% - \edef\This@name{#1}% - \ifx\This@name\name@of@slide - \else - \if@skiphyperref - \else - \if@hyper@item - \stepcounter{Item}% - \hyper@refstepcounter{Item}% - \@hyper@itemfalse - \else - \hyper@refstepcounter{#1}% - \fi - \fi - \fi - \fi + \bool_lazy_and:nnT + { \l__hyp_target_create_bool } + { ! \legacy_if_p:n{@skiphyperref} } + { + \legacy_if:nTF {@hyper@item} + { + \stepcounter{Item}% + \hyper@refstepcounter{Item}% + \@hyper@itemfalse + } + { + \hyper@refstepcounter{#1}% + } + } + } } +\ExplSyntaxOff \let\Hy@saved@refstepcounter\refstepcounter % \end{macrocode} % AMS\LaTeX\ processes all equations twice; we want to make sure @@ -10558,24 +10543,14 @@ } % \end{macrocode} % \end{macro} -% \begin{macro}{\hyper@hook@dest@make} % We define a hook to allow to overwrite the next destination name. % \begin{macrocode} -\@ifl@t@r\fmtversion{2020-10-01} - {% - \NewHook{__hyp/dest/make } - \def\hyper@hook@dest@make - {\UseHook{__hyp/dest/make}} - \define@key{Hyp}{next-anchor}{% - \AddToHookNext{__hyp/dest/make}% +\NewHook{__hyp/target/setname } +\define@key{Hyp}{next-anchor}{% + \AddToHookNext{__hyp/target/setname}% {\Hy@MakeCurrentHref{#1}}% } - } - { - \def\hyper@hook@dest@make{} - } % \end{macrocode} -% \end{macro} % \begin{macro}{\hyper@makecurrent} % Because of Babel mucking around, nullify |\textlatin| when making names. % And |\@number| because of babel's lrbabel.def. @@ -10627,7 +10602,7 @@ \else \global\let\@currentHref\HyperGlobalCurrentHref \fi - \hyper@hook@dest@make + \UseHook{__hyp/target/setname}% } % \end{macrocode} % \end{macro} @@ -10654,7 +10629,7 @@ \def\Hy@MakeCurrentHrefAuto#1{% \Hy@GlobalStepCount\Hy@linkcounter \Hy@MakeCurrentHref{#1.\the\Hy@linkcounter}% - \hyper@hook@dest@make} + \UseHook{__hyp/target/setname}} % \end{macrocode} % \end{macro} % @@ -10728,17 +10703,21 @@ % Fix provided by Felix Neubauer (\Email{felix.neubauer@gmx.net}). % This fix will no longer be needed with latex 2021-11-15. % \begin{macrocode} -\AtBeginDocument{% -\def\Hy@varioref@undefined{{??}{??}{}{}{}} -\@ifpackageloaded{varioref}{% - \def\vref@pagenum#1#2{% - \@ifundefined{r@#2}{% - \expandafter\let\csname r@#2\endcsname\Hy@varioref@undefined - }{}% - \edef#1{\getpagerefnumber{#2}}% - }% -}{} -} +\@ifl@t@r\fmtversion{2021-11-15} + {}% + { + \AtBeginDocument{% + \def\Hy@varioref@undefined{{??}{??}{}{}{}} + \@ifpackageloaded{varioref}{% + \def\vref@pagenum#1#2{% + \@ifundefined{r@#2}{% + \expandafter\let\csname r@#2\endcsname\Hy@varioref@undefined + }{}% + \edef#1{\getpagerefnumber{#2}}% + }% + }{} + } + } % \end{macrocode} % % \section{Package longtable support} @@ -10794,7 +10773,7 @@ % Overload equation, temporarily reverting to original % |\refstepcounter|. If, however, it is in AMS math, we do not % do anything, as the tag mechanism is used there (see section \ref{ams}). -% The execption is that we move the equation incrementation inside +% The exception is that we move the equation incrementation inside % the math environment to avoid specials outside and a wrong vertical % spacing of equation environments. % \begin{macrocode} @@ -11121,8 +11100,10 @@ % text, separately from whatever labels the text assigns. Too hard % to keep track of markers otherwise. If the raw forms |\footnotemark| % and |\footnotetext| are used, force them to use un-hyper original. -% +% If |\hyper@nopatch@footnote| is defined we don't patch but assume +% that addings links to footnotes is handled elsewhere. % \begin{macrocode} +\@ifundefined{hyper@nopatch@footnote}{% \ifHy@hyperfootnotes \newcounter{Hfootnote}% \let\H@@footnotetext\@footnotetext @@ -11315,7 +11296,7 @@ }{}% % \end{macrocode} % -% KOMA-Script defines \cs{footref} that uses both +% KOMA-Script or newer LaTeX defines \cs{footref} that uses both % \cs{ref} and \cs{@footnotemark} resulting in two links, % one of them wrong. % \begin{macrocode} @@ -11368,8 +11349,8 @@ % Does anyone remember the function and purpose of \cmd{\realfootnote}? % \begin{macrocode} \def\realfootnote{% - \@ifnextchar[\@xfootnote{% - \stepcounter{\@mpfn}% + \@ifnextchar[\@xfootnote%] + {\stepcounter{\@mpfn}% \protected@xdef\@thefnmark{\thempfn}% \H@@footnotemark\H@@footnotetext }% @@ -11377,12 +11358,13 @@ % \end{macrocode} % \begin{macrocode} \fi +}{} \Hy@DisableOption{hyperfootnotes} % \end{macrocode} % \end{macro} % % \begin{macrocode} -% +% %<*check> \checklatex \checkcommand\def\@xfootnotenext[#1]{% @@ -11407,7 +11389,7 @@ \relax } % -%<*package> +%<*packageEnd> % \end{macrocode} % % \section{Float captions}\label{captions} @@ -11518,7 +11500,7 @@ % \end{macrocode} % % \begin{macrocode} -% +% %<*check> \checklatex[1999/06/01 - 2000/06/01] \checkcommand\def\caption{% @@ -11546,7 +11528,7 @@ \endgroup } % -%<*package> +%<*packageEnd> % \end{macrocode} % % \section{Bibliographic references}\label{bib} @@ -11559,7 +11541,7 @@ % and \emph{drftcite} may break. % % However, lets make an attempt to get \emph{natbib} right, because -% thats a powerful, important package. +% that's a powerful, important package. % Patrick Daly (\Email{daly@linmpi.mpg.de}) has % provided hooks for us, so all we need to do is activate them. % \begin{macrocode} @@ -11660,7 +11642,7 @@ % \end{macrocode} % % \begin{macrocode} -% +% %<*check> \checklatex \checkcommand\def\@lbibitem[#1]#2{% @@ -11685,7 +11667,7 @@ \ignorespaces } % -%<*package> +%<*packageEnd> % \end{macrocode} % % \subsection{Package harvard} @@ -12065,7 +12047,7 @@ % \end{macro} % % \begin{macrocode} -% +% %<*check> \checklatex \checkcommand\def\addcontentsline#1#2#3{% @@ -12073,7 +12055,7 @@ } \checkcommand\def\contentsline#1{\csname l@#1\endcsname} % -%<*package> +%<*packageEnd> % \end{macrocode} % % \section{New counters}\label{counters} @@ -12179,10 +12161,10 @@ % \end{macrocode} % % \begin{macro}{\numberwithin} -% A appropiate definition of hyperref's companion counter +% A appropriate definition of hyperref's companion counter % (\cmd{\theH...}) is added for correct link names. % \begin{macrocode} -% +% %<*check> \checkpackage{amsmath}[1999/12/14 - 2000/06/06] \checkcommand\newcommand{\numberwithin}[3][\arabic]{% @@ -12196,30 +12178,22 @@ }% }% % -%<*package> +%<*packageEnd> \@ifpackageloaded{amsmath}{% - \@ifpackagelater{amsmath}{1999/12/14}{% - \renewcommand*{\numberwithin}[3][\arabic]{% - \@ifundefined{c@#2}{\@nocounterr{#2}}{% - \@ifundefined{c@#3}{\@nocnterr{#3}}{% - \HyOrg@addtoreset{#2}{#3}% - \@xp\xdef\csname the#2\endcsname{% - \@xp\@nx\csname the#3\endcsname .\@nx#1{#2}% - }% - \@xp\xdef\csname theH#2\endcsname{% - \@xp\@nx - \csname the\@ifundefined{theH#3}{}H#3\endcsname - .\@nx#1{#2}% - }% + \renewcommand*{\numberwithin}[3][\arabic]{% + \@ifundefined{c@#2}{\@nocounterr{#2}}{% + \@ifundefined{c@#3}{\@nocnterr{#3}}{% + \HyOrg@addtoreset{#2}{#3}% + \@xp\xdef\csname the#2\endcsname{% + \@xp\@nx\csname the#3\endcsname .\@nx#1{#2}% + }% + \@xp\xdef\csname theH#2\endcsname{% + \@xp\@nx + \csname the\@ifundefined{theH#3}{}H#3\endcsname + .\@nx#1{#2}% }% }% }% - }{% - \Hy@WarningNoLine{% - \string\numberwithin\space of package `amsmath' % - only fixed\MessageBreak - for version 2000/06/06 v2.12 or newer% - }% }% }{} % \end{macrocode} @@ -12501,7 +12475,7 @@ % \end{macrocode} % % \begin{macrocode} -% +% %<*check> \checklatex \checkcommand\def\@setref#1#2#3{% @@ -12516,7 +12490,7 @@ \fi } % -%<*package> +%<*packageEnd> % \end{macrocode} % % Now some extended referencing. |\ref*| and |\pageref*| are not linked, @@ -12549,26 +12523,25 @@ \def\@namerefstar#1{% \HyRef@StarSetRef{#1}\@thirdoffive } - +\def\@Refstar#1{% + \HyRef@StarSetRef{#1}\HyRef@MakeUppercaseFirstOfFive +}% +\def\HyRef@MakeUppercaseFirstOfFive#1#2#3#4#5{% + \MakeUppercase#1% +}% +\def\HyRef@Ref#1{% + \hyperref[{#1}]{\Ref*{#1}}% +}% \Hy@AtBeginDocument{% \@ifpackageloaded{varioref}{% - \def\@Refstar#1{% - \HyRef@StarSetRef{#1}\HyRef@MakeUppercaseFirstOfFive - }% - \def\HyRef@MakeUppercaseFirstOfFive#1#2#3#4#5{% - \MakeUppercase#1% - }% - \DeclareRobustCommand*{\Ref}{% - \@ifstar\@Refstar\HyRef@Ref - }% - \def\HyRef@Ref#1{% - \hyperref[{#1}]{\Ref*{#1}}% - }% % \end{macrocode} -% Test if we are running new 2019 varioref or old one: +% This are the patches for a varioref newer after 2019-09 +% Older versions are no longer supported. +% If |\hyper@nopatch@varioref| is defined we don't patch but assume +% that varioref handles the hyperlinks. % \begin{macrocode} -%FMi - \ifdefined\vp@gerefstar + \@ifundefined{hyper@nopatch@varioref} + { \renewcommand\Vref@star[2][]{% \begingroup \let\T@pageref\@pagerefstar @@ -12601,33 +12574,11 @@ \vpageref[#1]{#2}% \endgroup }% -% \end{macrocode} -% old varioref: -% \begin{macrocode} - \else - \def\Vr@f#1{% - \leavevmode\unskip\vref@space - \hyperref[{#1}]{% - \Ref*{#1}% - \let\vref@space\nobreakspace - \@vpageref[\unskip]{#1}% - }% - }% - \def\vr@f#1{% - \leavevmode\unskip\vref@space - \begingroup - \let\T@pageref\@pagerefstar - \hyperref[{#1}]{% - \ref*{#1}% - \vpageref[\unskip]{#1}% - }% - \endgroup - }% - \fi -%FMi -end mod + }{}% }{}% } - +% \end{macrocode} +% \begin{macrocode} \DeclareRobustCommand*{\autopageref}{% \@ifstar{% \HyRef@autopagerefname\pageref*% @@ -12651,10 +12602,9 @@ % \cs{leavevmode} is added to make package wrapfigure happy, if % \cs{autoref} starts a paragraph. % \begin{macrocode} -\DeclareRobustCommand*{\autoref}{% - \leavevmode - \@ifstar{\HyRef@autoref\@gobbletwo}{\HyRef@autoref\hyper@@link}% -} +\NewDocumentCommand\autoref{s} + {\leavevmode + \IfBooleanTF{#1}{\HyRef@autoref\@gobbletwo}{\HyRef@autoref\hyper@@link}} \def\HyRef@autoref#1#2{% \begingroup \Hy@safe@activestrue @@ -12737,9 +12687,7 @@ % \begin{macrocode} \let\HyRef@ShowKeysRef\@gobble \def\HyRef@ShowKeysInit{% - \begingroup\expandafter\expandafter\expandafter\endgroup - \expandafter\ifx\csname SK@@label\endcsname\relax - \else + \ifcsname SK@@label\endcsname \ifx\SK@ref\@empty \else \def\HyRef@ShowKeysRef{% @@ -12785,7 +12733,7 @@ % \end{macrocode} % % \begin{macrocode} -% +% % \end{macrocode} % % \section{Configuration files} @@ -13096,15 +13044,7 @@ \expandafter\endgroup \expandafter\pdflinkmargin\the\dimen@\relax } -\ifx\pdfstartlink\@undefined% less than version 14 - \let\pdfstartlink\pdfannotlink - \let\pdflinkmargin\@tempdima - \let\pdfxform\pdfform - \let\pdflastxform\pdflastform - \let\pdfrefxform\pdfrefform -\else - \pdflinkmargin1pt % -\fi +\pdflinkmargin1pt % % \end{macrocode} % First set up the default linking % \begin{macrocode} @@ -15463,7 +15403,7 @@ % is used by writing some clipped text. % \begin{macrocode} %\def\literalps@out#1{\special{ps:#1}}% -%\providecommand*{\Hy@DistillerDestFix}{} +%\providecommand*{\Hy@DistillerDestFix}{} %<*pdfmark|dviwindo> \def\Hy@DistillerDestFix{% \begingroup @@ -19334,7 +19274,7 @@ % \end{macro} % \begin{macrocode} % -%<*package> +%<*packageEnd> % \end{macrocode} % % \section{Bookmarks in the PDF file} @@ -19354,7 +19294,7 @@ \Hy@MakeCurrentHrefAuto{section*}% \Hy@raisedlink{\hyper@anchorstart{\@currentHref}\hyper@anchorend}% } -% +% % \end{macrocode} % % \subsection{Bookmarks} @@ -19827,6 +19767,8 @@ \hss }% } +\@ifundefined{hyper@nopatch@sectioning} +{ \let\H@old@ssect\@ssect \def\@ssect#1#2#3#4#5{% \Hy@MakeCurrentHrefAuto{section*}% @@ -19922,6 +19864,7 @@ \H@old@sect{#1}{#2}{#3}{#4}{#5}{#6}[{#7}]{#8}% }% } +}{} % \end{macrocode} % \begin{macrocode} % @@ -19944,61 +19887,6 @@ % % \end{macrocode} % -% \section{Compatibility with koma-script classes} -% -% \begin{macrocode} -%<*outlines|hypertex> -% \end{macrocode} -% -% Hard-wire in an unpleasant over-ride of komascript `scrbook' class -% for Tobias Isenberg (\Email{Tobias.Isenberg@gmx.de}). -% With version 6.71b the hack is also applied to `scrreprt' class -% and is removed for koma-script versions since 2001/01/01, -% because Markus Kohm supports hyperref in komascript. -% \begin{macrocode} -\def\Hy@tempa{% - \def\@addchap[##1]##2{% - \typeout{##2}% - \if@twoside - \@mkboth{##1}{}% - \else - \@mkboth{}{##1}% - \fi - \addtocontents{lof}{\protect\addvspace{10\p@}}% - \addtocontents{lot}{\protect\addvspace{10\p@}}% - \Hy@MakeCurrentHrefAuto{\Hy@chapapp*}% - \Hy@raisedlink{% - \hyper@anchorstart{\@currentHref}\hyper@anchorend - }% - \if@twocolumn - \@topnewpage[\@makeschapterhead{##2}]% - \else - \@makeschapterhead{##2}% - \@afterheading - \fi - \addcontentsline{toc}{chapter}{##1}% - }% -} -\@ifclassloaded{scrbook}{% - \@ifclasslater{scrbook}{2001/01/01}{% - \let\Hy@tempa\@empty - }{}% -}{% - \@ifclassloaded{scrreprt}{% - \@ifclasslater{scrreprt}{2001/01/01}{% - \let\Hy@tempa\@empty - }{}% - }{% - \let\Hy@tempa\@empty - }% -}% -\Hy@tempa -% \end{macrocode} -% -% \begin{macrocode} -% -% \end{macrocode} -% % \section{Encoding definition files for encodings of PDF strings} % This was contributed by % Heiko Oberdiek. diff --git a/macros/latex/contrib/hyperref/hyperref.ins b/macros/latex/contrib/hyperref/hyperref.ins index 78c7662b1a..bbe33cf313 100644 --- a/macros/latex/contrib/hyperref/hyperref.ins +++ b/macros/latex/contrib/hyperref/hyperref.ins @@ -7,7 +7,7 @@ %% 1995-2001 Sebastian Rahtz, with portions written by David Carlisle and Heiko Oberdiek %% 2001-2015 Heiko Oberdiek %% 2016-2019 Oberdiek Package Support Group -%% 2019-2021 LaTeX Project +%% 2019-2022 LaTeX Project %% https://github.com/latex3/hyperref/issues %% %% This file is part of the `Hyperref Bundle'. @@ -55,6 +55,32 @@ %\askonceonly %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \preamble + +Copyright +1995-2001 Sebastian Rahtz, with portions written by David Carlisle and Heiko Oberdiek, +2001-2015 Heiko Oberdiek. +2016-2019 Oberdiek Package Support Group +2019-2022 LaTeX Project + https://github.com/latex3/hyperref/issues + +This file is part of the `Hyperref Bundle'. +------------------------------------------- + +This work may be distributed and/or modified under the +conditions of the LaTeX Project Public License, either version 1.3 +of this license or (at your option) any later version. +The latest version of this license is in + http://www.latex-project.org/lppl.txt +and version 1.3 or later is part of all distributions of LaTeX +version 2005/12/01 or later. + +This work has the LPPL maintenance status `maintained'. + +The Current Maintainer of this work is the LaTeX Project. + +The list of all files belonging to the `Hyperref Bundle' is +given in the file `manifest.txt'. + \endpreamble \generate{% @@ -65,7 +91,12 @@ \usedir{tex/latex/hyperref} \file{backref.sty}{\from{backref.dtx}{package}} \file{nameref.sty}{\from{nameref.dtx}{package}} - \file{hyperref.sty}{\from{hyperref.dtx}{package}} + \file{hyperref.sty} + { + \from{hyperref.dtx}{package} + \from{hyperref-linktarget.dtx}{package,package-include} + \from{hyperref.dtx}{packageEnd} + } \file{hypertex.def}{\from{hyperref.dtx}{hypertex}} \file{pdfmark.def}{\from{hyperref.dtx}{pdfmark,pdfmarkbase,pdfform,outlines}} \file{hvtexmrk.def}{\from{hyperref.dtx}{vtexpdfmark}} diff --git a/macros/latex/contrib/hyperref/manifest.txt b/macros/latex/contrib/hyperref/manifest.txt index 24a0402237..62b3e25c8e 100644 --- a/macros/latex/contrib/hyperref/manifest.txt +++ b/macros/latex/contrib/hyperref/manifest.txt @@ -9,8 +9,12 @@ backref.dtx Bibliographical back referencing. nameref.dtx Cross-referencing by name of section. - -hyperref.pdf, backref.pdf, nameref.pdf +hyperref-linktarget.dtx + Module with commands to create targets +hyperref-patches.dtx + outsourced older patches + +hyperref.pdf, backref.pdf, nameref.pdf, hyperref-linktarget.pdf Source code documentation. hyperref.ins @@ -42,6 +46,7 @@ backref.sty nameref.sty hyperref.sty nohyperref.sty +hyperref-patches.sty LaTeX package files. hycheck.tex Test file. @@ -76,7 +81,7 @@ psdextra.def % Directory doc/ % ============= -hyperref-doc.pdf +hyperref-doc.pdf, hyperref-linktarget.pdf Hyperref manual hyperref-doc.html, hyperref-doc[2-7].html, hyperref-doc.css, HTML version of the manual. diff --git a/macros/latex/contrib/hyperref/nameref.dtx b/macros/latex/contrib/hyperref/nameref.dtx index adc41b8fdc..dabe4b6d90 100644 --- a/macros/latex/contrib/hyperref/nameref.dtx +++ b/macros/latex/contrib/hyperref/nameref.dtx @@ -4,7 +4,7 @@ %% 2000 Sebastian Rahtz, Heiko Oberdiek %% 2001-2012 Heiko Oberdiek %% 2016-2019 Oberdiek Package Suport Group -%% 2019-2021 The LaTeX Project +%% 2019-2022 The LaTeX Project %% https://github.com/latex3/hyperref/issues %% %% This file is part of the `Hyperref Bundle'. @@ -33,7 +33,7 @@ %\ProvidesFile{nameref.drv} % \fi % \ProvidesFile{nameref.dtx} - [2021-04-02 v2.47 Cross-referencing by name of section]% + [2022-05-13 v2.48 Cross-referencing by name of section]% % % % \iffalse @@ -78,6 +78,101 @@ % Cross-referencing to include the \emph{name} of the section, rather than % just the number or page. This works by redefining some of the inside % \LaTeX\ macros, so it is vulnerable to future changes. +% +% \section{Background and advice for package and class authors} +% The package redefines the \cs{label} command to write additionally +% \cs{@currentlabelname} to the \texttt{.aux} file. This can then be referenced with +% \cs{nameref}. Package authors who want to support \textsf{nameref} should +% define this command (locally) in a suitable way. +% The content should be so that it can be safely written +% to the \texttt{.aux} file. \textsf{nameref} itself uses the package +% \textsf{gettitlestring} but this is not required. +% +% \textsf{nameref} patches a number of commands (mostly sectioning +% commands) and environments so that they +% store \cs{@currentlabelname}. A class or a package that want to provide native +% support instead can suppress this patches by defining commands described below. +% The commands must be defined before the patch is made, in most cases before +% \textsf{nameref} is loaded, sometimes only before begin document. +% +% \begin{description} +% \item[sectioning commands] Redefined are +% \begin{itemize} +% \item +% \cs{@sect}: beside adding a command that stores the +% title of a sectioning command (if present the optional argument is used) +% \textsf{nameref} also stores the level number in a counter \texttt{section@level} +% (reason is unknown, only two packages, \textsf{e-french} and \textsf{pdfscreen} +% seem to use it), and surrounds the text with \cs{Sectionformat} (only used by +% \textsf{acmart}, \textsf{memoir}, \textsf{pdfscreen}, \textsf{pdfslide}), a +% command which takes two argument: the first the text, the second the level. +% +% \item \cs{@ssect}: command to store the title added, +% \cs{Sectionformat} is added. +% +% \item \cs{M@sect} (memoir class): command to store the title added +% +% \item \cs{@part}, \cs{@spart}, \cs{@chapter}, \cs{@schapter}: +% command to store the title added +% \item \cs{ttl@sect@i} (from the \textsf{titlesec} package): +% command to store the title added +% \end{itemize} +% +% All the patches excepted the last are disabled if the command +% \cs{NR@nopatch@sectioning} is defined (the actual definition is irrelevant, only +% existence is tested. The titlesec patch is disabled if +% \cs{NR@nopatch@titlesec} is defined. +% This currently only suppress the actual patches, the counter, +% \cs{Sectionformat} and also the internal copies \cs{NR@sect} etc are still +% defined. +% +% \item[captions] The following commands are patched +% \begin{itemize} +% \item \cs{@caption}: command to store the title added. This is done at begin +% document, but only if \textsf{hyperref} is not detected. With \textsf{hyperref} +% the patch is done there (and must be disabled in \textsf{hyperref}). +% +% This patch can be disabled by defining \cs{NR@nopatch@caption} +% +% \item \cs{LT@c@ption} (from the \textsf{longtable} package): +% command to store the title added. +% +% This patch can be disabled by defining \cs{NR@nopatch@longtable} +% +% \item \cs{lst@MakeCaption} (from the \textsf{listings} package) +% +% This patch can be disabled by defining \cs{NR@nopatch@listings} +% \end{itemize} +% +% \item[lists] The following command is patched +% \begin{itemize} +% \item \cs{descriptionlabel}: command to store the label text added. To +% reference this text the \cs{label} must be put \emph{inside} the label. +% This is not compatible with the \textsf{enumitem} package as internal +% formatting commands are written to the \texttt{.aux} file too. +% +% This patch can be disabled by defining \cs{NR@nopatch@lists} +% \end{itemize} +% +% \item[theorems] +% +% \begin{itemize} +% \item \cs{@opargbegintheorem}: command to store the title added. +% +% This patch can be disabled by defining \cs{NR@nopatch@theorem} +% +% \item \cs{@begintheorem} (if amsthm is loaded and if +% the command has a tested meaning): command to store the title added. +% +% This patch can be disabled by defining \cs{NR@nopatch@amsthm} +% +% \end{itemize} +% \item[beamer] In the \textsf{beamer} class the following commands are +% patched: \cs{beamer@section}, \cs{beamer@subsection}, \cs{beamer@subsubsection}, +% \cs{beamer@descriptionitem} and the template \texttt{theorem begin}. If +% \cs{NR@nopatch@beamer} is defined nothing is done. +% \end{description} +% % \section{History} % Sebastian Rahtz, for Lou Burnard, March 15th 1994;\\ % SPQR CERN July 1994;\\ @@ -304,11 +399,12 @@ % \end{macrocode} % \begin{macro}{\@sect} % \begin{macrocode} -\def\@sect#1#2#3#4#5#6[#7]#8{% - \setcounter{section@level}{#2}% - \NR@gettitle{#7}% - \NR@sect{#1}{#2}{#3}{#4}{#5}{#6}[{#7}]{\Sectionformat{#8}{#2}}% -} +\@ifundefined{NR@nopatch@sectioning} + {\def\@sect#1#2#3#4#5#6[#7]#8{% + \setcounter{section@level}{#2}% + \NR@gettitle{#7}% + \NR@sect{#1}{#2}{#3}{#4}{#5}{#6}[{#7}]{\Sectionformat{#8}{#2}}% + }}{} % \end{macrocode} % \end{macro} % and now the unnumbered ones @@ -317,33 +413,35 @@ \let\NR@ssect\@ssect % \end{macrocode} % \end{macro} -% \begin{macro}{\NR@ssect} +% \begin{macro}{\@ssect} % \begin{macrocode} -\def\@ssect#1#2#3#4#5{% - \NR@gettitle{#5}% - \NR@ssect{#1}{#2}{#3}{#4}{\Sectionformat{#5}{#1}}% -} +\@ifundefined{NR@nopatch@sectioning} + {\def\@ssect#1#2#3#4#5{% + \NR@gettitle{#5}% + \NR@ssect{#1}{#2}{#3}{#4}{\Sectionformat{#5}{#1}}% + }}{} % \end{macrocode} % \end{macro} % % Support for class memoir. % % \begin{macrocode} -\ltx@IfUndefined{ifheadnameref}{% -}{% - \ltx@IfUndefined{M@sect}{% +\@ifundefined{NR@nopatch@sectioning} + {\ltx@IfUndefined{ifheadnameref}{% }{% - \let\NRorg@M@sect\M@sect - \def\M@sect#1#2#3#4#5#6[#7][#8]{% - \ifheadnameref - \NR@gettitle{#8}% - \else - \NR@gettitle{#7}% - \fi - \NRorg@M@sect{#1}{#2}{#3}{#4}{#5}{#6}[{#7}][{#8}]% + \ltx@IfUndefined{M@sect}{% + }{% + \let\NRorg@M@sect\M@sect + \def\M@sect#1#2#3#4#5#6[#7][#8]{% + \ifheadnameref + \NR@gettitle{#8}% + \else + \NR@gettitle{#7}% + \fi + \NRorg@M@sect{#1}{#2}{#3}{#4}{#5}{#6}[{#7}][{#8}]% + }% }% - }% -} + }}{} % \end{macrocode} % % Parts and chapters are treated differently. sigh. @@ -351,80 +449,85 @@ % % \begin{macrocode} \let\NR@part\@part -\long\def\@part[#1]#2{% - \NR@gettitle{#1}% - \NR@part[{#1}]{#2}% -} \let\NR@spart\@spart -\long\def\@spart#1{% - \NR@gettitle{#1}% - \NR@spart{#1}% -} \let\NR@chapter\@chapter -\def\@chapter[#1]#2{% - \NR@gettitle{#1}% - \NR@chapter[{#1}]{#2}% -} -\@ifclassloaded{memoir}{% - \ltx@IfUndefined{ifheadnameref}{% - }{% - \def\@chapter[#1]#2{% - \ltx@IfUndefined{ch@pt@c}{% - \NR@gettitle{#1}% - }{% - \ifx\ch@pt@c\ltx@empty - \NR@gettitle{#2}% - \else - \def\NR@temp{#1}% - \ifx\NR@temp\ltx@empty - \expandafter\NR@gettitle\expandafter{\ch@pt@c}% +\let\NR@schapter\@schapter +\@ifundefined{NR@nopatch@sectioning} + {% + \long\def\@part[#1]#2{% + \NR@gettitle{#1}% + \NR@part[{#1}]{#2}% + } + \long\def\@spart#1{% + \NR@gettitle{#1}% + \NR@spart{#1}% + } + \def\@chapter[#1]#2{% + \NR@gettitle{#1}% + \NR@chapter[{#1}]{#2}% + } + \@ifclassloaded{memoir}{% + \ltx@IfUndefined{ifheadnameref}{% + }{% + \def\@chapter[#1]#2{% + \ltx@IfUndefined{ch@pt@c}{% + \NR@gettitle{#1}% + }{% + \ifx\ch@pt@c\ltx@empty + \NR@gettitle{#2}% \else - \ifheadnameref - \NR@gettitle{#1}% - \else + \def\NR@temp{#1}% + \ifx\NR@temp\ltx@empty \expandafter\NR@gettitle\expandafter{\ch@pt@c}% + \else + \ifheadnameref + \NR@gettitle{#1}% + \else + \expandafter\NR@gettitle\expandafter{\ch@pt@c}% + \fi \fi \fi - \fi + }% + \NR@chapter[{#1}]{#2}% }% - \NR@chapter[{#1}]{#2}% }% - }% -}{} -\let\NR@schapter\@schapter -\def\@schapter#1{% - \NR@gettitle{#1}% - \NR@schapter{#1}% -} + }{} + \def\@schapter#1{% + \NR@gettitle{#1}% + \NR@schapter{#1}% + }}{} % \end{macrocode} % % Captions % % \begin{macrocode} \AtBeginDocument{% - \@ifpackageloaded{hyperref}{% - \@ifpackagelater{hyperref}{2009/12/05}\@gobble\@firstofone - }\@firstofone + \@ifpackageloaded{hyperref}{} {% - \let\NR@@caption\@caption - \long\def\@caption#1[#2]{% + \@ifundefined{NR@nopatch@caption} + {\let\NR@@caption\@caption + \long\def\@caption#1[#2]{% \NR@gettitle{#2}% \NR@@caption{#1}[{#2}]% - }% + }}% + {}% }% % \end{macrocode} % % \begin{macrocode} \@ifpackageloaded{longtable}{% - \let\NRorg@LT@c@ption\LT@c@ption - \def\LT@c@ption#1[#2]#3{% - \NRorg@LT@c@ption{#1}[{#2}]{#3}% - \def\@tempa{#2}% - \ifx\@tempa\@empty - \else + \@ifundefined{NR@nopatch@longtable} + {% + \let\NRorg@LT@c@ption\LT@c@ption + \def\LT@c@ption#1[#2]#3{% + \NRorg@LT@c@ption{#1}[{#2}]{#3}% + \def\@tempa{#2}% + \ifx\@tempa\@empty + \else \NR@gettitle{#2}% - \fi - }% + \fi + }% + }{}% }{}% % \end{macrocode} % @@ -432,11 +535,13 @@ % \begin{macrocode} \ltx@IfUndefined{descriptionlabel}{% }{% - \let\NRorg@descriptionlabel\descriptionlabel - \def\descriptionlabel#1{% - \NR@gettitle{#1}% - \NRorg@descriptionlabel{#1}% - }% + \@ifundefined{NR@nopatch@longtable} + {\let\NRorg@descriptionlabel\descriptionlabel + \def\descriptionlabel#1{% + \NR@gettitle{#1}% + \NRorg@descriptionlabel{#1}% + }% + }{}% }% } % \end{macrocode} @@ -446,10 +551,13 @@ \AtBeginDocument{% \@ifpackageloaded{titlesec}{% \let\NRorg@ttl@sect@i\ttl@sect@i - \def\ttl@sect@i#1#2[#3]#4{% - \NR@gettitle{#4}% - \NRorg@ttl@sect@i{#1}{#2}[{#3}]{#4}% - }% + \@ifundefined{NR@nopatch@titlesec} + {% + \def\ttl@sect@i#1#2[#3]#4{% + \NR@gettitle{#4}% + \NRorg@ttl@sect@i{#1}{#2}[{#3}]{#4}% + }% + }{}% }{}% } % \end{macrocode} @@ -458,39 +566,42 @@ % % \begin{macrocode} \@ifclassloaded{beamer}{% - \def\NR@PatchBeamer#1{% - \expandafter\let\csname NRorg@beamer@#1\expandafter\endcsname - \csname beamer@#1\endcsname - \begingroup - \edef\x{\endgroup - \long\def\expandafter\noexpand\csname beamer@#1\endcsname - [####1]{% hash-ok - \noexpand\NR@gettitle{####1}% - \expandafter\noexpand\csname NRorg@beamer@#1\endcsname - [{####1}]% + \@ifundefined{NR@nopatch@beamer} + {% + \def\NR@PatchBeamer#1{% + \expandafter\let\csname NRorg@beamer@#1\expandafter\endcsname + \csname beamer@#1\endcsname + \begingroup + \edef\x{\endgroup + \long\def\expandafter\noexpand\csname beamer@#1\endcsname + [####1]{% hash-ok + \noexpand\NR@gettitle{####1}% + \expandafter\noexpand\csname NRorg@beamer@#1\endcsname + [{####1}]% + }% }% - }% - \x - }% - \NR@PatchBeamer{section}% - \NR@PatchBeamer{subsection}% - \NR@PatchBeamer{subsubsection}% + \x + }% + \NR@PatchBeamer{section}% + \NR@PatchBeamer{subsection}% + \NR@PatchBeamer{subsubsection}% % \end{macrocode} % % Theorem names. % \begin{macrocode} - \addtobeamertemplate{theorem begin}{% - \expandafter\NR@gettitle\expandafter{\inserttheoremaddition}% - }{}% + \addtobeamertemplate{theorem begin}{% + \expandafter\NR@gettitle\expandafter{\inserttheoremaddition}% + }{}% % \end{macrocode} % \begin{macrocode} - \@ifdefinable{\NRorg@beamer@descriptionitem}{% - \let\NRorg@beamer@descriptionitem\beamer@descriptionitem - \renewcommand{\beamer@descriptionitem}[1]{% - \NR@gettitle{#1}% - \NRorg@beamer@descriptionitem{#1}% + \@ifdefinable{\NRorg@beamer@descriptionitem}{% + \let\NRorg@beamer@descriptionitem\beamer@descriptionitem + \renewcommand{\beamer@descriptionitem}[1]{% + \NR@gettitle{#1}% + \NRorg@beamer@descriptionitem{#1}% + }% }% - }% + }{}% }{} % \end{macrocode} % @@ -554,13 +665,15 @@ \long\def\@fourthoffive#1#2#3#4#5{#4} % \end{macrocode} % \end{macro} -% \begin{macro}{\@offive} +% \begin{macro}{\@fifthoffive} % \begin{macrocode} \long\def\@fifthoffive#1#2#3#4#5{#5} % \end{macrocode} % \end{macro} -% We have to redefine |\ref| and |\pageref| to know about extra +% We have to redefine |\ref|, |\Ref| and |\pageref| to know about extra % reference elements. Make them robust, and compatible with Babel. +% We also define starred versions so that it doesn't depend on hyperref +% if they are defined or not. We use the same internal names as hyperref. % The Babel switch is mimicked if not already defined. % Some support for package \xpackage{showkeys} is implemented. If % option |notref| of that package is set, |\SK@ref| has the @@ -575,6 +688,11 @@ \providecommand*\@safe@activesfalse{}% % \end{macrocode} % \end{macro} +% \begin{macro}{\NR@ref@showkeys} +% \begin{macrocode} +\newcommand\NR@ref@showkeys[1]{}% +% \end{macrocode} +% \end{macro} % \begin{macro}{\NR@setref} % \begin{macrocode} \def\NR@setref#1{% @@ -599,6 +717,15 @@ % \begin{macro}{\T@ref} % \begin{macrocode} \def\T@ref#1{% + \NR@ref@showkeys{#1}% + \NR@setref{#1}\@firstoffive{#1}% +}% +% \end{macrocode} +% \end{macro} +% \begin{macro}{\@refstar} +% \begin{macrocode} +\def\@refstar#1{% + \NR@ref@showkeys{#1}% \NR@setref{#1}\@firstoffive{#1}% }% % \end{macrocode} @@ -606,111 +733,124 @@ % \begin{macro}{\T@pageref} % \begin{macrocode} \def\T@pageref#1{% + \NR@ref@showkeys{#1}% \NR@setref{#1}\@secondoffive{#1}% }% % \end{macrocode} % \end{macro} +% \begin{macro}{\@pagerefstar} % \begin{macrocode} -\ifNR@showkeys - \ifx\SK@ref\@empty - \else +\def\@pagerefstar#1{% + \NR@ref@showkeys{#1}% + \NR@setref{#1}\@secondoffive{#1}% +}% % \end{macrocode} -% \begin{macro}{\T@ref} +% \end{macro}% +% \begin{macro}{\T@Ref} % \begin{macrocode} - \def\T@ref#1{% - \@safe@activestrue - \SK@\SK@@ref{#1}% - \@safe@activesfalse - \NR@setref{#1}\@firstoffive{#1}% - }% +\def\T@Ref#1{% + \NR@ref@showkeys{#1}% + \NR@setref{#1}\NR@MakeUppercaseFirstOfFive{#1}% + }% +\def\NR@MakeUppercaseFirstOfFive#1#2#3#4#5{% + \MakeUppercase#1% + }% % \end{macrocode} % \end{macro} -% \begin{macro}{\T@pageref} +% \begin{macro}{\@Refstar} % \begin{macrocode} - \def\T@pageref#1{% - \@safe@activestrue - \SK@\SK@@ref{#1}% - \@safe@activesfalse - \NR@setref{#1}\@secondoffive{#1}% - }% +\def\@Refstar#1{% + \NR@ref@showkeys{#1}% + \NR@setref{#1}\NR@MakeUppercaseFirstOfFive{#1}% + }% % \end{macrocode} -% \end{macro} +% \end{macro}% % \begin{macrocode} +\ifNR@showkeys + \ifx\SK@ref\@empty + \else + \renewcommand\NR@ref@showkeys[1]{% + \@safe@activestrue + \SK@\SK@@ref{#1}% + \@safe@activesfalse} \fi \fi % \end{macrocode} -% Package \xpackage{hyperref} uses its own definitions of |\ref| and -% |\pageref| because it extends the syntax by the star form. +% Package \xpackage{hyperref} uses the same +% definitions of |\ref|, |\Ref| and +% |\pageref| but has to redefine the non-starred command to +% add the hyperlink support. % |\DeclareRobustCommand| is used by \xpackage{hyperref}. % Package |nameref| can be loaded before, after % \xpackage{hyperref} or after % \xpackage{hyperref}'s definitions in |\AtBeginDocument|. +% We have to postpone the definition to |\AtBeginDocument| to +% avoid that showkeys overwrites them again. % \begin{macrocode} -\@ifpackageloaded{hyperref}{% -}{% +\AddToHook{begindocument}{% % \end{macrocode} % \begin{macro}{\ref} % \begin{macrocode} - \DeclareRobustCommand{\ref}{\T@ref}% + \DeclareDocumentCommand\ref{s} + {\IfBooleanTF{#1}{\@refstar}{\T@ref}}% % \end{macrocode} % \end{macro} % \begin{macro}{\pageref} % \begin{macrocode} - \DeclareRobustCommand{\pageref}{\T@pageref}% + \DeclareDocumentCommand\pageref{s} + {\IfBooleanTF{#1}{\@pagerefstar}{\T@pageref}}% +% \end{macrocode} +% \end{macro} +% \begin{macro}{\Ref} +% \begin{macrocode} + \DeclareDocumentCommand\Ref{s} + {\IfBooleanTF{#1}{\@Refstar}{\T@Ref}}% % \end{macrocode} % \end{macro} % \begin{macrocode} } % \end{macrocode} +% \begin{macrocode} +\DeclareHookRule{begindocument}{showkeys}{before}{nameref} +% \end{macrocode} +% % % \subsection{Usage and frontend} % Access the (third) name part with |\nameref|; % \begin{macro}{\T@nameref} % \begin{macrocode} \def\T@nameref#1{% + \NR@ref@showkeys{#1}% + \begingroup + \let\label\@gobble + \NR@setref{#1}\@thirdoffive{#1}% + \endgroup +}% +% \end{macrocode} +% \end{macro} +% \begin{macro}{\@namerefstar} +% \begin{macrocode} +\def\@namerefstar#1{% + \NR@ref@showkeys{#1}% \begingroup \let\label\@gobble \NR@setref{#1}\@thirdoffive{#1}% \endgroup }% -\ifNR@showkeys - \ifx\SK@ref\@empty - \else - \def\T@nameref#1{% - \@safe@activestrue - \SK@\SK@@ref{#1}% - \@safe@activesfalse - \begingroup - \let\label\@gobble - \NR@setref{#1}\@thirdoffive{#1}% - \endgroup - }% - \fi -\fi % \end{macrocode} % \end{macro} % \begin{macrocode} -%\@ifclassloaded{memoir}{% -% \ltx@IfUndefined{@mem@titlerefnolink}\ltx@secondoftwo{% -% \ltx@IfUndefined{@mem@titleref}\ltx@secondoftwo\ltx@firstoftwo -% }% -%}\ltx@secondoftwo -%{% -% \DeclareRobustCommand*{\nameref}{% -% \@ifstar\@mem@titlerefnolink\@mem@titleref -% }% -%}{% % \end{macrocode} % \begin{macro}{\nameref} % \begin{macrocode} - \DeclareRobustCommand*{\nameref}{% - \@ifstar\T@nameref\T@nameref - }% -%} +\NewDocumentCommand\nameref{s} + {\IfBooleanTF{#1}{\@namerefstar}{\T@nameref}} % \end{macrocode} % \end{macro} % \begin{macro}{\Nameref} % An extended form which gives title and page number. +% Not really useful, quotes are english, and no starred version. +% varioref can do that better. Remove?? % \begin{macrocode} \def\Nameref#1{`\nameref{#1}' on page~\pageref{#1}} % \end{macrocode} @@ -733,21 +873,24 @@ % to provide expandable versions without link of \cmd{\ref} % and \cmd{\pageref}. As possible target I could only find % \cmd{\begingroup}: -% \begin{macrocode} -\@ifpackageloaded{ifthen}{% - \let\NROrg@ifthenelse\ifthenelse - \def\ifthenelse{% - \let\begingroup\NR@TE@begingroup - \NROrg@ifthenelse - }% - \let\NROrg@begingroup\begingroup - \def\NR@TE@begingroup{% - \let\begingroup\NROrg@begingroup - \begingroup - \def\ref##1{\getrefbykeydefault{##1}{}{??}}% - \def\pageref##1{\getrefbykeydefault{##1}{page}{0}}% - }% -}{} +% Changed/disabled 2022-04-13: ifthen takes care itself to +% change \cmd{\pageref} to an expandable version. +% \begin{macrocode} +\@ifundefined{@kernel@pageref@exp} + {\@ifpackageloaded{ifthen}{% + \let\NROrg@ifthenelse\ifthenelse + \def\ifthenelse{% + \let\begingroup\NR@TE@begingroup + \NROrg@ifthenelse + }% + \let\NROrg@begingroup\begingroup + \def\NR@TE@begingroup{% + \let\begingroup\NROrg@begingroup + \begingroup + \def\ref##1{\getrefbykeydefault{##1}{}{??}}% + \def\pageref##1{\getrefbykeydefault{##1}{page}{0}}% + }% + }{}}{} % \end{macrocode} % % \subsection{Compatibility with varioref} @@ -760,101 +903,11 @@ \AtBeginDocument{% \ifx\csname @@vpageref\endcsname\relax \else -%FMi % \end{macrocode} -% Test if we are using the new varioref ... +% This requires a varioref newer than 2019-09-12 % \begin{macrocode} - \ifdefined\vp@gerefstar \let\NR@@vpageref\@@vpageref -% \end{macrocode} -% if not then old patching code -% \begin{macrocode} - \else - \def\NR@@vpageref#1[#2]#3{% - \leavevmode\unskip - \global\advance\c@vrcnt\@ne - \@ifundefined{r@\the\c@vrcnt @vr}% - {\@namedef{r@\the\c@vrcnt @vr}{{??}{??}{}{}{}}}{}% - \edef\@tempa{% - \expandafter\expandafter\expandafter - \@secondoffive\csname r@\the\c@vrcnt @vr\endcsname - }% - \@ifundefined{r@\the\c@vrcnt @xvr}% - {\@namedef{r@\the\c@vrcnt @xvr}{{??}{??}{}{}{}}}{}% - \edef\@tempb{% - \expandafter\expandafter\expandafter - \@secondoffive\csname r@\the\c@vrcnt @xvr\endcsname - }% - {% - \let\@currentlabel\@empty - \expandafter\label\expandafter{\the\c@vrcnt @xvr}% - }% - \ifx\@tempa\@tempb - \else - \vref@err{% - \noexpand\vref at page boundary % - \@tempb-\@tempa\space (may loop)% - }% - \fi - \@ifundefined{r@#3}{\@namedef{r@#3}{{??}{??}{}{}{}}}{}% - \edef\thevpagerefnum{% - \expandafter\expandafter\expandafter - \@secondoffive\csname r@#3\endcsname - }% - \ifx\vref@space\@undefined - \space - \else - \vref@space - \fi - \ifx\@tempa\thevpagerefnum - #1% - \else - #2% - \is@pos@number\thevpagerefnum{% - \is@pos@number\@tempa{% - \@tempcnta\@tempa - \advance\@tempcnta\@ne - }{% - \@tempcnta\maxdimen - }% - \ifnum \thevpagerefnum =\@tempcnta - \ifodd\@tempcnta - \if@twoside - \reftextfaceafter - \else - \reftextafter - \fi - \else - \reftextafter - \fi - \else - \advance\@tempcnta-2 % - \ifnum \thevpagerefnum =\@tempcnta - \ifodd\@tempcnta - \reftextbefore - \else - \if@twoside - \reftextfacebefore - \else - \reftextbefore - \fi - \fi - \else - \reftextfaraway{#3}% - \fi - \fi - }{% - \reftextfaraway{#3}% - }% - \fi - {% - \let\@currentlabel\@empty - \expandafter\label\expandafter{\the\c@vrcnt @vr}% - }% - }% - \fi -%FM - end mod - \def\@@vpageref#1[#2]#3{% + \def\@@vpageref#1[#2]#3{% \begingroup \csname @safe@activestrue\endcsname \edef\x{#3}% @@ -868,45 +921,29 @@ \x }% \DeclareRobustCommand\vnameref[1]{% - \unskip~\nameref{#1}% + \unskip~\nameref{#1} % \@vpageref[\unskip]{#1}% }% \fi } % \end{macrocode} -% \begin{macrocode} -\@ifundefined{@Refstar}{% - \def\T@Ref#1{% - \NR@setref{#1}\NR@MakeUppercaseFirstOfFive{#1}% - }% - \def\NR@MakeUppercaseFirstOfFive#1#2#3#4#5{% - \MakeUppercase#1% - }% -}{}% -\AtBeginDocument{% - \@ifpackageloaded{varioref}{% - \@ifundefined{@Refstar}{% - \DeclareRobustCommand*{\Ref}[1]{% - \T@Ref{#1}% - }% - }{}% - }{}% -}% -% \end{macrocode} % % \subsection{Support for package \xpackage{listings}} % % \begin{macrocode} \AtBeginDocument{% \@ifpackageloaded{listings}{% - \let\NROrg@lst@MakeCaption\lst@MakeCaption - \def\lst@MakeCaption{% - \ifx\lst@label\@empty - \else - \let\@currentlabelname\lst@@caption - \fi - \NROrg@lst@MakeCaption - }% + \@ifundefined{NR@nopatch@listings} + {% + \let\NROrg@lst@MakeCaption\lst@MakeCaption + \def\lst@MakeCaption{% + \ifx\lst@label\@empty + \else + \let\@currentlabelname\lst@@caption + \fi + \NROrg@lst@MakeCaption + }% + }{}% }{}% } % \end{macrocode} diff --git a/macros/latex/contrib/hyperref/xr-hyper.sty b/macros/latex/contrib/hyperref/xr-hyper.sty index feb4bf60a4..3c269ed7da 100644 --- a/macros/latex/contrib/hyperref/xr-hyper.sty +++ b/macros/latex/contrib/hyperref/xr-hyper.sty @@ -1,6 +1,6 @@ %% xr-hyper package (beta release) -%% Copyright (C) 1993-2021 David Carlisle +%% Copyright (C) 1993-2022 David Carlisle %% This is a modified version of the xr package from the Standard LaTeX %% tools distribution. It has some internal changes to cooperate with @@ -61,7 +61,7 @@ %% \NeedsTeXFormat{LaTeX2e} \ProvidesPackage{xr-hyper} - [2022-02-21 v7.00n eXternal References (DPC)] + [2022-05-13 v7.00o eXternal References (DPC)] \def\externaldocument{\@testopt\XR@cite{}} \let\externalcitedocument\externaldocument diff --git a/macros/latex/contrib/phonenumbers/README b/macros/latex/contrib/phonenumbers/README index d39c143524..6b8a40416e 100644 --- a/macros/latex/contrib/phonenumbers/README +++ b/macros/latex/contrib/phonenumbers/README @@ -9,8 +9,8 @@ number is valid according to the national rules. It also allows to link phone numbers using the hyperref package. Package author: K. Wehr -Version: 2.3 -Date: 20th August 2021 +Version: 2.4 +Date: 13th May 2022 The phonenumbers package is subject to the LaTeX Project Public License, version 1.3 or later. diff --git a/macros/latex/contrib/phonenumbers/doc/phonenumbers-de.pdf b/macros/latex/contrib/phonenumbers/doc/phonenumbers-de.pdf index bc0f466a74..2cc505c3c2 100644 Binary files a/macros/latex/contrib/phonenumbers/doc/phonenumbers-de.pdf and b/macros/latex/contrib/phonenumbers/doc/phonenumbers-de.pdf differ diff --git a/macros/latex/contrib/phonenumbers/doc/phonenumbers-de.tex b/macros/latex/contrib/phonenumbers/doc/phonenumbers-de.tex index ea51e371aa..6e945537d3 100644 --- a/macros/latex/contrib/phonenumbers/doc/phonenumbers-de.tex +++ b/macros/latex/contrib/phonenumbers/doc/phonenumbers-de.tex @@ -1,6 +1,6 @@ % phonenumbers package: German manual -% Version 2.3 -% Datum: 20. August 2021 +% Version 2.4 +% Datum: 13. Mai 2022 \documentclass[numbers=noenddot]{scrreprt} \usepackage[french,ngerman]{babel} \usepackage{fontspec} @@ -16,15 +16,15 @@ \usepackage{cnltx-example} \usepackage{cnltx-tools} \usepackage[colorlinks=true, - allcolors=black, - bookmarksopen=true, - bookmarksopenlevel=0, - bookmarksnumbered=true, - pdfencoding=auto, - pdftitle={Setzen von Telefonnummern mit LaTeX}, - pdfsubject={Anleitung zum Paket PHONENUMBERS}, - pdfkeywords={latex phonenumbers Telefonnummern}, - pdfauthor={K. Wehr}]{hyperref} + allcolors=black, + bookmarksopen=true, + bookmarksopenlevel=0, + bookmarksnumbered=true, + pdfencoding=auto, + pdftitle={Setzen von Telefonnummern mit LaTeX}, + pdfsubject={Anleitung zum Paket PHONENUMBERS}, + pdfkeywords={latex phonenumbers Telefonnummern}, + pdfauthor={K. Wehr}]{hyperref} \setmainfont{TeX Gyre Bonum} \setmonofont{Latin Modern Mono}[Scale=MatchLowercase] @@ -53,16 +53,16 @@ \renewcommand{\labelnamepunct}{\addcolon\space} \definecolorscheme{phonecolor}{ - cs => cnltxformalblue, - option => cnltxbrown, - cnltx => cnltxgreen + cs => cnltxformalblue, + option => cnltxbrown, + cnltx => cnltxgreen } \setcnltx{ - add-cmds = {setphonenumbers,phonenumber,href}, - color-scheme = phonecolor, - add-listings-options = {numbers=none}, - pre-output = {\raggedright} + add-cmds = {setphonenumbers,phonenumber,href}, + color-scheme = phonecolor, + add-listings-options = {numbers=none}, + pre-output = {\raggedright} } \makeatletter @@ -71,7 +71,7 @@ \makeatother \DeclareNewLayer[background,bottommargin,mode=picture,hoffset=7cm, - contents={\includegraphics{Telefonhoerer}}]{Telefonebene} + contents={\includegraphics{Telefonhoerer}}]{Telefonebene} \AddLayersToPageStyle{plain}{Telefonebene} \AddLayersToPageStyle{scrheadings}{Telefonebene} @@ -79,103 +79,107 @@ \ExplSyntaxOn \NewDocumentEnvironment {Befehlsliste} { } - { - \begin{list}{ } - { - \setlength{\leftmargin}{0pt} - \setlength{\itemindent}{-1em} - \setlength{\parsep}{0pt} - \setlength{\listparindent}{\parindent} - \setlength{\itemsep}{\topsep} - } - } - { - \end{list} - } + { + \begin{list}{ } + { + \setlength{\leftmargin}{0pt} + \setlength{\itemindent}{-1em} + \setlength{\parsep}{0pt} + \setlength{\listparindent}{\parindent} + \setlength{\itemsep}{\topsep} + } + } + { + \end{list} + } \NewDocumentCommand \Befehlsbeschreibung {m o} - { - \item - \cs{#1} - \IfValueT{#2}{#2} - \\ - } + { + \item + \cs{#1} + \IfValueT{#2}{#2} + \\ + } \NewDocumentCommand \Optionsbeschreibung {m m m} - { - \item - \option{#1}~=~\choices{#2} - \hfill - Voreinstellung:~\code{#3} - \\ - } + { + \item + \option{#1}~=~\choices{#2} + \hfill + Voreinstellung:~\code{#3} + \\ + } \ExplSyntaxOff -\newcommand*{\Paket}[1]{\textsc{#1}} -\newcommand{\phone}{\textcolor{cnltx}{\Paket{phone\-numbers}}} +\newcommand*\Paket[1]{\textsc{#1}} +\newcommand\phone{\textcolor{cnltx}{\Paket{phone\-numbers}}} -\newcommand{\UeberschriftGeltungsbereich}{\section{Geltungsbereich}} +\newcommand\UeberschriftGeltungsbereich{\section{Geltungsbereich}} -\newcommand{\UeberschriftAufbau}{\section{Aufbau der Nummern}} +\newcommand\UeberschriftAufbau{\section{Aufbau der Nummern}} -\newcommand*{\UeberschriftOptionen}[1]{\section{Optionen}\label{optionen-#1}} +\newcommand*\UeberschriftOptionen[1]{\section{Optionen}\label{optionen-#1}} -\newcommand{\UeberschriftUngueltig}{\section{Ungültige Nummern}} +\newcommand\UeberschriftUngueltig{\section{Ungültige Nummern}} -\newcommand{\UeberschriftOrtsvorwahlen}{\section{Ortsvorwahlen}} +\newcommand\UeberschriftOrtsvorwahlen{\section{Ortsvorwahlen}} -\newcommand{\UeberschriftRegionalvorwahlen}{\section{Regionalvorwahlen}} +\newcommand\UeberschriftRegionalvorwahlen{\section{Regionalvorwahlen}} -\newcommand{\UeberschriftSondervorwahlen}{\section{Sondervorwahlen}} +\newcommand\UeberschriftSondervorwahlen{\section{Sondervorwahlen}} -\newcommand{\OptionsvariantenAreaCodeSep}{\Optionsbeschreibung{area-code-sep}{slash,brackets,space,hyphen}{slash}} +\newcommand\OptionsvariantenAreaCodeSep{\Optionsbeschreibung{area-code-sep}{slash,brackets,space,hyphen}{slash}} -\newcommand{\OptionsbeschreibungAreaCodeSep}{Legt fest, wie die Vorwahl von der Teilnehmerrufnummer abgetrennt wird.} +\newcommand\OptionsbeschreibungAreaCodeSep{Legt fest, wie die Vorwahl von der Teilnehmerrufnummer abgetrennt wird.} -\newcommand{\HinweisForeignAreaCodeSep}{Für Nummern mit Auslandsvorwahl gibt es die Option +\newcommand\HinweisForeignAreaCodeSep{Für Nummern mit Auslandsvorwahl gibt es die Option \option{foreign-area-code-sep} \sieheAbschnitt{optionen-allgemein}.} -\newcommand{\OptionsvariantenAreaCode}{\Optionsbeschreibung{area-code}{number,place,place-and-number}{number}} +\newcommand\OptionsvariantenAreaCode{\Optionsbeschreibung{area-code}{number,place,place-and-number}{number}} -\newcommand{\OptionsbeschreibungAreaCode}{Legt fest, wie die Vorwahl dargestellt werden soll: als Nummer, als Ortsname oder als Ortsname mit Nummer.} +\newcommand\OptionsbeschreibungAreaCode{Legt fest, wie die Vorwahl dargestellt werden soll: als Nummer, als Ortsname oder als Ortsname mit Nummer.} -\newcommand{\WertbeschreibungBrackets}{Die Variante \code{brackets} setzt bei Festnetznummern Klammern um die Vorwahl. Bei Mobilfunk- und Sondernummern wird sie wie \code{space} behandelt, da bei solchen Nummern die Vorwahl stets mitgewählt werden muss.} +\newcommand\WertbeschreibungBrackets{Die Variante \code{brackets} setzt bei Festnetznummern Klammern um die Vorwahl. Bei Mobilfunk- und Sondernummern wird sie wie \code{space} behandelt, da bei solchen Nummern die Vorwahl stets mitgewählt werden muss.} -\newcommand{\WertbeschreibungPlaceAndNumber}{Die Variante \code{place-and-number} gibt für Nummern ohne Auslandsvorwahl den Ortsnamen bzw. die Bedeutung der Vorwahl zusätzlich zur Vorwahlnummer aus.} +\newcommand\WertbeschreibungPlaceAndNumber{Die Variante \code{place-and-number} gibt für Nummern ohne Auslandsvorwahl den Ortsnamen bzw. die Bedeutung der Vorwahl zusätzlich zur Vorwahlnummer aus.} -\newcommand{\WertbeschreibungPlace}{Die Variante \code{place} gibt bei Festnetznummern ohne Auslandsvorwahl den Ortsnamen anstelle der Vorwahlnummer aus. In anderen Fällen bleibt es bei der Ausgabe der Nummer.} +\newcommand\WertbeschreibungPlace{Die Variante \code{place} gibt bei Festnetznummern ohne Auslandsvorwahl den Ortsnamen anstelle der Vorwahlnummer aus. In anderen Fällen bleibt es bei der Ausgabe der Nummer.} -\newcommand{\KeineVerlinkung}{Nummern ohne Vorwahl können allerdings nicht verlinkt werden +\newcommand\KeineVerlinkung{Nummern ohne Vorwahl können allerdings nicht verlinkt werden \vglAbschnitt{verlinkung}.} -\newcommand{\WarnungWenn}{Eine Warnung wird ausgegeben, wenn} +\newcommand\WarnungWenn{Eine Warnung wird ausgegeben, wenn} -\newcommand*{\vglAbschnitt}[1]{(\cf\ Abschnitt \ref{#1})} +\newcommand*\vglAbschnitt[1]{(\cf\ Abschnitt \ref{#1})} -\newcommand*{\sieheAbschnitt}[1]{(siehe Abschnitt \ref{#1})} +\newcommand*\sieheAbschnitt[1]{(siehe Abschnitt \ref{#1})} -\newcommand*{\vglAnhang}[1]{(\cf\ Anhang~\ref{#1})} +\newcommand*\vglAnhang[1]{(\cf\ Anhang~\ref{#1})} -\newcommand{\Quelle}{\noindent\emph{Quelle: }} +\newcommand\Quelle{\noindent\emph{Quelle: }} -\newcommand*{\Quellen}{\noindent\emph{Quellen: }} +\newcommand*\Quellen{\noindent\emph{Quellen: }} -\newcommand{\Schmalschrift}{\small\fontspec{Libertinus Serif}[Ligatures=TeX]} +\newcommand\Schmalschrift{\small\fontspec{Libertinus Serif}[Ligatures=TeX]} -\newcommand*{\AufbauDEATA}[6]{Eine #1 Telefonnummer besteht in der Regel aus einer Vorwahl, die mit einer 0 beginnt, und einer Teilnehmerrufnummer. Die Vorwahl kann zwischen #2 und #3 Stellen haben, die Teilnehmerrufnummer im Festznetz zwischen #4 und #5 Stellen. Zur Trennung von Vorwahl und Teilnehmerrufnummer gibt es unterschiedliche Konventionen +\newcommand*\AufbauDEATA[6]{Eine #1 Telefonnummer besteht in der Regel aus einer Vorwahl, die mit einer 0 beginnt, und einer Teilnehmerrufnummer. Die Vorwahl kann zwischen #2 und #3 Stellen haben, die Teilnehmerrufnummer im Festznetz zwischen #4 und #5 Stellen. Zur Trennung von Vorwahl und Teilnehmerrufnummer gibt es unterschiedliche Konventionen \vglAbschnitt{#6}. Standardmäßig verwendet das Paket \phone\ einen Schrägstrich.} -\newcommand{\AufbauDEATB}{Die Ortsvorwahl kann bei Anrufen innerhalb eines Ortsnetzes weggelassen werden.} +\newcommand\AufbauDEATB{Die Ortsvorwahl kann bei Anrufen innerhalb eines Ortsnetzes weggelassen werden.} -\newcommand{\AufbauDEATC}[1]{\KeineVerlinkung\ Als Alternative empfiehlt sich der Einsatz der Option \option{home-area-code} +\newcommand\AufbauDEATC[1]{\KeineVerlinkung\ Als Alternative empfiehlt sich der Einsatz der Option \option{home-area-code} \vglAbschnitt{optionen-allgemein}, die in #1 überall verwendet werden kann.\par Am Ende der Teilnehmerrufnummer kann eine abgetrennte Durchwahlnummer stehen, die durch ein optionales Argument oder einen Bindestrich angegeben wird.} -\newcommand*{\AufbauDEATD}[1]{Bei Anrufen aus dem Ausland wird die Auslandsvorwahl mit der Landeskennzahl #1 vorangestellt und die führende 0 der Ortsvorwahl weggelassen.} +\newcommand*\AufbauDEATD[1]{Bei Anrufen aus dem Ausland wird die Auslandsvorwahl mit der Landeskennzahl #1 vorangestellt und die führende 0 der Ortsvorwahl weggelassen.} + +\newcommand\EMail{wehr} +\newcommand\EMailDomain{abgol} +\newcommand\EMailTopLevelDomain{de} \begin{document} \begin{titlepage} @@ -189,7 +193,11 @@ Am Ende der Teilnehmerrufnummer kann eine abgetrennte Durchwahlnummer stehen, di \smallskip Keno Wehr +\normalsize +\texttt{\EMail@\EMailDomain.\EMailTopLevelDomain} + \bigskip +\large \textit{Fehlermeldungen} \smallskip @@ -435,13 +443,20 @@ Vor der Heimatvorwahl sollte das Heimatland mit der Option \option{home-country} \phonenumber[country=DE]{0258163970} \end{sidebyside} Die Angabe einer Heimatvorwahl ist nur für Gebiete zulässig, in denen die Vorwahl bei Ortsgesprächen weggelassen werden kann. +\Optionsbeschreibung{group-min}{3,4,5,6,7}{3} +In mehreren Ländern werden Telefonnummern in Zweiergruppen gegliedert. Der Wert dieser Option gibt an, ab welcher Länge eines Nummernteils (Auslandsvorwahl, Ortsvorwahl, Teilnehmerrufnummer, Durchwahl) eine Gliederung stattfindet. +\begin{sidebyside} + \setphonenumbers{country=AT} + \phonenumber{04632503}[364] \\ + \phonenumber[group-min=5]{04632503}[364] +\end{sidebyside} \end{Befehlsliste} \UeberschriftUngueltig Um Robustheit gegenüber Fehlern zu gewährleisten, wird die Kompilierung niemals mit einer Fehlermeldung abgebrochen, wenn dem Befehl \cs{phonenumber} eine ungültige Nummer übergeben wird. Stattdessen schreibt das Paket \phone\ Warnmeldungen in die Log-Datei. Dies ist der Fall, wenn \begin{itemize} -\item die Eingabe leer ist oder nicht nur Ziffern und Leerzeichen enthält (abgesehen von einem Pluszeichen am Anfang), +\item die Eingabe leer ist oder unerlaubte Zeichen enthält, \item eine Durchwahlnummer angegeben ist, obwohl es sich nicht um eine deutsche oder österreichische Telefonnummer handelt, \item eine im internationalen Format eingegebene Nummer nur aus einer Landesvorwahl besteht oder keine gültige Landeskennzahl enthält, \item die Nummer nicht den nationalen Regeln des gewählten Landes entspricht (nur für unterstützte Länder). @@ -1195,7 +1210,7 @@ am Anfang \item Ermöglichung von Makros als Befehlsargumenten \item leichte Veränderung der Warnmeldungen \end{itemize} -\item[2.3] \today +\item[2.3] \printdate{20.8.2021} \begin{itemize} \item Ergänzung der neuen deutschen Mobilfunkvorwahl 01\,50\,19 \item Entfernung der deutschen Mobilfunkvorwahlen 01\,50\,20, 01\,50\,50, 01\,50\,80, 01\,55\,55 @@ -1206,6 +1221,11 @@ am Anfang \item Ergänzung der neuen nordamerikanischen Vorwahlen 227, 274, 341, 368, 428, 447, 448, 464, 474, 523, 524, 525, 526, 572, 582, 656, 659, 689, 730, 742, 771, 826, 839, 840, 943, 945 und 948 \item Revision des Paketcodes \end{itemize} +\item[2.4] \today +\begin{itemize} +\item Einführung der Option +\option{group-min}, um kurze Nummern nicht zu gliedern +\end{itemize} \end{description} \end{document} diff --git a/macros/latex/contrib/phonenumbers/doc/phonenumbers-en.pdf b/macros/latex/contrib/phonenumbers/doc/phonenumbers-en.pdf index 526bac2a33..1eb72f9b03 100644 Binary files a/macros/latex/contrib/phonenumbers/doc/phonenumbers-en.pdf and b/macros/latex/contrib/phonenumbers/doc/phonenumbers-en.pdf differ diff --git a/macros/latex/contrib/phonenumbers/doc/phonenumbers-en.tex b/macros/latex/contrib/phonenumbers/doc/phonenumbers-en.tex index f0533d6304..7b91c39a0a 100644 --- a/macros/latex/contrib/phonenumbers/doc/phonenumbers-en.tex +++ b/macros/latex/contrib/phonenumbers/doc/phonenumbers-en.tex @@ -1,6 +1,6 @@ % phonenumbers package: English manual -% Version 2.3 -% Datum: 20. August 2021 +% Version 2.4 +% Datum: 13. Mai 2022 \documentclass[numbers=noenddot]{scrreprt} \usepackage[french,UKenglish]{babel} \usepackage{fontspec} @@ -16,15 +16,15 @@ \usepackage{cnltx-example} \usepackage{cnltx-tools} \usepackage[colorlinks=true, - allcolors=black, - bookmarksopen=true, - bookmarksopenlevel=0, - bookmarksnumbered=true, - pdfencoding=auto, - pdftitle={Typesetting telephone numbers with LaTeX}, - pdfsubject={Manual for the PHONENUMBERS package}, - pdfkeywords={latex phonenumbers telephone numbers}, - pdfauthor={K. Wehr}]{hyperref} + allcolors=black, + bookmarksopen=true, + bookmarksopenlevel=0, + bookmarksnumbered=true, + pdfencoding=auto, + pdftitle={Typesetting telephone numbers with LaTeX}, + pdfsubject={Manual for the PHONENUMBERS package}, + pdfkeywords={latex phonenumbers telephone numbers}, + pdfauthor={K. Wehr}]{hyperref} \setmainfont{TeX Gyre Bonum} \setmonofont{Latin Modern Mono}[Scale=MatchLowercase] @@ -53,16 +53,16 @@ \renewcommand{\labelnamepunct}{\addcolon\space} \definecolorscheme{phonecolor}{ - cs => cnltxformalblue, - option => cnltxbrown, - cnltx => cnltxgreen + cs => cnltxformalblue, + option => cnltxbrown, + cnltx => cnltxgreen } \setcnltx{ - add-cmds = {setphonenumbers,phonenumber,href}, - color-scheme = phonecolor, - add-listings-options = {numbers=none}, - pre-output = {\raggedright} + add-cmds = {setphonenumbers,phonenumber,href}, + color-scheme = phonecolor, + add-listings-options = {numbers=none}, + pre-output = {\raggedright} } \makeatletter @@ -71,7 +71,7 @@ \makeatother \DeclareNewLayer[background,bottommargin,mode=picture,hoffset=7cm, - contents={\includegraphics{Telefonhoerer}}]{Telefonebene} + contents={\includegraphics{Telefonhoerer}}]{Telefonebene} \AddLayersToPageStyle{plain}{Telefonebene} \AddLayersToPageStyle{scrheadings}{Telefonebene} @@ -79,103 +79,107 @@ \ExplSyntaxOn \NewDocumentEnvironment {Befehlsliste} { } - { - \begin{list}{ } - { - \setlength{\leftmargin}{0pt} - \setlength{\itemindent}{-1em} - \setlength{\parsep}{0pt} - \setlength{\listparindent}{\parindent} - \setlength{\itemsep}{\topsep} - } - } - { - \end{list} - } + { + \begin{list}{ } + { + \setlength{\leftmargin}{0pt} + \setlength{\itemindent}{-1em} + \setlength{\parsep}{0pt} + \setlength{\listparindent}{\parindent} + \setlength{\itemsep}{\topsep} + } + } + { + \end{list} + } \NewDocumentCommand \Befehlsbeschreibung {m o} - { - \item - \cs{#1} - \IfValueT{#2}{#2} - \\ - } + { + \item + \cs{#1} + \IfValueT{#2}{#2} + \\ + } \NewDocumentCommand \Optionsbeschreibung {m m m} - { - \item - \option{#1}~=~\choices{#2} - \hfill - Default:~\code{#3} - \\ - } + { + \item + \option{#1}~=~\choices{#2} + \hfill + Default:~\code{#3} + \\ + } \ExplSyntaxOff -\newcommand*{\Paket}[1]{\textsc{#1}} -\newcommand{\phone}{\textcolor{cnltx}{\Paket{phone\-numbers}}} +\newcommand*\Paket[1]{\textsc{#1}} +\newcommand\phone{\textcolor{cnltx}{\Paket{phone\-numbers}}} -\newcommand{\UeberschriftGeltungsbereich}{\section{Scope}} +\newcommand\UeberschriftGeltungsbereich{\section{Scope}} -\newcommand{\UeberschriftAufbau}{\section{Structure of the Numbers}} +\newcommand\UeberschriftAufbau{\section{Structure of the Numbers}} -\newcommand*{\UeberschriftOptionen}[1]{\section{Options}\label{optionen-#1}} +\newcommand*\UeberschriftOptionen[1]{\section{Options}\label{optionen-#1}} -\newcommand{\UeberschriftUngueltig}{\section{Invalid Numbers}} +\newcommand\UeberschriftUngueltig{\section{Invalid Numbers}} -\newcommand{\UeberschriftOrtsvorwahlen}{\section{Geographic Area Codes}} +\newcommand\UeberschriftOrtsvorwahlen{\section{Geographic Area Codes}} -\newcommand{\UeberschriftRegionalvorwahlen}{\section{Geographic Area Codes}} +\newcommand\UeberschriftRegionalvorwahlen{\section{Geographic Area Codes}} -\newcommand{\UeberschriftSondervorwahlen}{\section{Non-Geographic Area Codes}} +\newcommand\UeberschriftSondervorwahlen{\section{Non-Geographic Area Codes}} -\newcommand{\OptionsvariantenAreaCodeSep}{\Optionsbeschreibung{area-code-sep}{slash,brackets,space,hyphen}{slash}} +\newcommand\OptionsvariantenAreaCodeSep{\Optionsbeschreibung{area-code-sep}{slash,brackets,space,hyphen}{slash}} -\newcommand{\OptionsbeschreibungAreaCodeSep}{Sets the seperator between area code and subscriber number.} +\newcommand\OptionsbeschreibungAreaCodeSep{Sets the seperator between area code and subscriber number.} -\newcommand{\HinweisForeignAreaCodeSep}{For numbers with country calling code use the +\newcommand\HinweisForeignAreaCodeSep{For numbers with country calling code use the \option{foreign-area-code-sep} option \sieheAbschnitt{optionen-allgemein}.} -\newcommand{\OptionsvariantenAreaCode}{\Optionsbeschreibung{area-code}{number,place,place-and-number}{number}} +\newcommand\OptionsvariantenAreaCode{\Optionsbeschreibung{area-code}{number,place,place-and-number}{number}} -\newcommand{\OptionsbeschreibungAreaCode}{Sets, how the area code will be typeset: as number, as place name, or as place name with number.} +\newcommand\OptionsbeschreibungAreaCode{Sets, how the area code will be typeset: as number, as place name, or as place name with number.} -\newcommand{\WertbeschreibungBrackets}{The choice \code{brackets} will cause the area code of landline numbers to be typeset in brackets. For mobile phone and special numbers this choice will be treated like \code{space}, since the area code has always to be dialled for these numbers.} +\newcommand\WertbeschreibungBrackets{The choice \code{brackets} will cause the area code of landline numbers to be typeset in brackets. For mobile phone and special numbers this choice will be treated like \code{space}, since the area code has always to be dialled for these numbers.} -\newcommand{\WertbeschreibungPlaceAndNumber}{The choice \code{place-and-number} will cause the place name or the meaning of the area code, respectively, to be output in addition to the area code for numbers without country calling code.} +\newcommand\WertbeschreibungPlaceAndNumber{The choice \code{place-and-number} will cause the place name or the meaning of the area code, respectively, to be output in addition to the area code for numbers without country calling code.} -\newcommand{\WertbeschreibungPlace}{The choice \code{place} will typeset landline numbers without country calling code with the place name instead of the area code. In other cases the area code will remain.} +\newcommand\WertbeschreibungPlace{The choice \code{place} will typeset landline numbers without country calling code with the place name instead of the area code. In other cases the area code will remain.} -\newcommand{\KeineVerlinkung}{Numbers without an area code cannot be linked though +\newcommand\KeineVerlinkung{Numbers without an area code cannot be linked though \vglAbschnitt{verlinkung}.} -\newcommand{\WarnungWenn}{A warning will be issued if} +\newcommand\WarnungWenn{A warning will be issued if} -\newcommand*{\vglAbschnitt}[1]{(\cf\ section \ref{#1})} +\newcommand*\vglAbschnitt[1]{(\cf\ section \ref{#1})} -\newcommand*{\sieheAbschnitt}[1]{(see section \ref{#1})} +\newcommand*\sieheAbschnitt[1]{(see section \ref{#1})} -\newcommand*{\vglAnhang}[1]{(\cf\ appendix~\ref{#1})} +\newcommand*\vglAnhang[1]{(\cf\ appendix~\ref{#1})} -\newcommand{\Quelle}{\noindent\emph{Source: }} +\newcommand\Quelle{\noindent\emph{Source: }} -\newcommand*{\Quellen}{\noindent\emph{Sources: }} +\newcommand*\Quellen{\noindent\emph{Sources: }} -\newcommand{\Schmalschrift}{\small\fontspec{Libertinus Serif}[Ligatures=TeX]} +\newcommand\Schmalschrift{\small\fontspec{Libertinus Serif}[Ligatures=TeX]} -\newcommand*{\AufbauDEATA}[6]{A #1 phone number normally consists of an area code beginning with 0 and a subscriber number. The area code can have #2 to #3 digits, a landline subscriber number #4 to #5 digits. There are different conventions for the separation of the area code from the subscriber number +\newcommand*\AufbauDEATA[6]{A #1 phone number normally consists of an area code beginning with 0 and a subscriber number. The area code can have #2 to #3 digits, a landline subscriber number #4 to #5 digits. There are different conventions for the separation of the area code from the subscriber number \vglAbschnitt{#6}. The default separator used by the \phone\ package is a slash.} -\newcommand{\AufbauDEATB}{The area code is not required for calls within the local exchange area.} +\newcommand\AufbauDEATB{The area code is not required for calls within the local exchange area.} -\newcommand{\AufbauDEATC}[1]{\KeineVerlinkung\ As an alternative the use of the \option{home-area-code} option +\newcommand\AufbauDEATC[1]{\KeineVerlinkung\ As an alternative the use of the \option{home-area-code} option \vglAbschnitt{optionen-allgemein}, which can be used everywhere in #1, is recommended.\par The subscriber number can end in a separate extension, which can be input by an optional argument or a hyphen.} -\newcommand*{\AufbauDEATD}[1]{For calls from abroad the country code #1 has to be used and the leading 0 of the area code has to be left out.} +\newcommand*\AufbauDEATD[1]{For calls from abroad the country code #1 has to be used and the leading 0 of the area code has to be left out.} + +\newcommand\EMail{wehr} +\newcommand\EMailDomain{abgol} +\newcommand\EMailTopLevelDomain{de} \begin{document} \begin{titlepage} @@ -189,7 +193,11 @@ The subscriber number can end in a separate extension, which can be input by an \smallskip Keno Wehr +\normalsize +\texttt{\EMail@\EMailDomain.\EMailTopLevelDomain} + \bigskip +\large \textit{Bug reports} \smallskip @@ -435,13 +443,20 @@ The \option{home-country} option should to be set before the home area code. If \phonenumber[country=DE]{0258163970} \end{sidebyside} Setting a home area code is allowed only for areas where the area code can be left out for local calls. +\Optionsbeschreibung{group-min}{3,4,5,6,7}{3} +In several countries telephone numbers are structured in groups of two digits. The value of this option sets the minimum length of a number part (country calling code, area code, subscriber number, extension) to which structuring shall be applied. +\begin{sidebyside} + \setphonenumbers{country=AT} + \phonenumber{04632503}[364] \\ + \phonenumber[group-min=5]{04632503}[364] +\end{sidebyside} \end{Befehlsliste} \UeberschriftUngueltig To ensure robustness against errors, the compilation will never be aborted with an error message if an invalid number is given to the \cs{phonenumber} command. Rather, the \phone\ package will write warnings to the log file. This will occur if \begin{itemize} -\item the input is empty or contains other characters than digits and spaces (apart from a plus sign as first character), +\item the input is empty or contains illegal characters, \item an extension is given for a non-German and non-Austrian phone number, \item a number input in the international format consists of a country calling code only or does not contain a valid country code, \item the number is not in accordance with the national rules of the selected country (only for supported countries). @@ -1195,7 +1210,7 @@ option for the area code separator in numbers with country calling code \item Making macros possible as command arguments \item Slight change of the warning messages \end{itemize} -\item[2.3] \today +\item[2.3] \printdate{20.8.2021} \begin{itemize} \item Addition of the new German mobile phone area code 01\,50\,19 \item Removal of the German mobile phone area codes 01\,50\,20, 01\,50\,50, 01\,50\,80, 01\,55\,55 @@ -1206,6 +1221,11 @@ option for the area code separator in numbers with country calling code \item Addition of the new North American area codes 227, 274, 341, 368, 428, 447, 448, 464, 474, 523, 524, 525, 526, 572, 582, 656, 659, 689, 730, 742, 771, 826, 839, 840, 943, 945, and 948 \item Revision of the package code \end{itemize} +\item[2.4] \today +\begin{itemize} +\item Introduction of the +\option{group-min} option to suppress the structuring of short numbers +\end{itemize} \end{description} \end{document} diff --git a/macros/latex/contrib/phonenumbers/tex/phonenumbers.sty b/macros/latex/contrib/phonenumbers/tex/phonenumbers.sty index 5b060f7b6e..b1a24faf76 100644 --- a/macros/latex/contrib/phonenumbers/tex/phonenumbers.sty +++ b/macros/latex/contrib/phonenumbers/tex/phonenumbers.sty @@ -2,8 +2,8 @@ % LaTeX-Paket zur Formatierung von Telefonnummern % LaTeX package for formatting telephone numbers % Autor: K. Wehr -% Version: 2.3 -% Datum: 20. August 2021 +% Version: 2.4 +% Datum: 13. Mai 2022 % This work may be distributed and/or modified under the % conditions of the LaTeX Project Public License, either version 1.3 @@ -14,7 +14,7 @@ % version 2005/12/01 or later. -\ProvidesExplPackage {phonenumbers} {2021-08-20} {2.3} {Telephone number package} +\ProvidesExplPackage {phonenumbers} {2022-05-13} {2.4} {Telephone number package} \RequirePackage{l3keys2e} \RequirePackage{ltxcmds} @@ -34,13 +34,13 @@ \str_new:N \l_phone_vorwahltrennung_str \str_new:N \l_phone_auslandsvorwahltrennung_str \str_new:N \l_phone_heimatvorwahl_str -\str_new:N \l_phone_rufnummer_str \str_new:N \l_phone_bereinigte_nummer_str \str_new:N \l_phone_bereinigte_durchwahl_str \str_new:N \l_phone_linktext_str \int_new:N \l_phone_ziffernzahl_int \int_new:N \l_phone_nummerlaenge_int +\int_new:N \l_phone_gruppierungsminimum_int \tl_new:N \l_phone_ausgabetext_tl \tl_new:N \l_phone_formatierte_nummer_tl @@ -358,6 +358,16 @@ home-area-code .value_required:n = true } +\keys_define:nn {phonenumbers} + { + group-min .choices:nn = {3,4,5,6,7} + { + \int_set_eq:NN \l_phone_gruppierungsminimum_int \l_keys_choice_tl + }, + group-min .initial:n = {3} , + group-min .value_required:n = true + } + % Prüfe, ob eine Vorwahl als Heimatvorwahl zulässig ist. % #1: Heimatvorwahl @@ -409,6 +419,7 @@ } +% einen Nummernteil von vorne in Zweiergruppen gruppiert schreiben, sofern er nicht kürzer als das Gruppierungsminimum ist \cs_new_protected:Npn \phone_von_vorne_gruppiert_schreiben:n #1 { \int_set:Nn \l_phone_ziffernzahl_int { \tl_count:n {#1} } @@ -418,10 +429,15 @@ { \tl_put_right:Nx \l_phone_formatierte_nummer_tl { \tl_item:nn {#1} {##1} } - \int_if_even:nT {##1} + % Nach jeder zweiten Ziffer wird ein kleiner Abstand eingefügt, wenn die Ziffernzahl nicht unterhalb des Gruppierungsminimums liegt. + \bool_lazy_all:nT + { + { ! \int_compare_p:nNn { \l_phone_ziffernzahl_int } < { \l_phone_gruppierungsminimum_int } } + { \int_if_even_p:n {##1} } + { \int_compare_p:nNn {##1} < { \l_phone_ziffernzahl_int } } + } { - \int_compare:nNnT {##1} < {\l_phone_ziffernzahl_int} - { \tl_put_right:Nn \l_phone_formatierte_nummer_tl {\,} } + \tl_put_right:Nn \l_phone_formatierte_nummer_tl {\,} } } @@ -431,6 +447,35 @@ \cs_generate_variant:Nn \phone_von_vorne_gruppiert_schreiben:n {x,V} +% einen Nummernteil von in Zweiergruppen gruppiert mit führender Einzelziffer schreiben, sofern er nicht kürzer als das Gruppierungsminimum ist +\cs_new_protected:Npn \phone_versetzt_gruppiert_schreiben:n #1 + { + \int_set:Nn \l_phone_ziffernzahl_int { \tl_count:n {#1} } + \tl_clear:N \l_phone_formatierte_nummer_tl + + \int_step_inline:nn {\l_phone_ziffernzahl_int} + { + \tl_put_right:Nx \l_phone_formatierte_nummer_tl { \tl_item:nn {#1} {##1} } + + % Nach der 1., 3., 5., ... Ziffer wird ein kleiner Abstand eingefügt, wenn die Ziffernzahl nicht unterhalb des Gruppierungsminimums liegt. + \bool_lazy_all:nT + { + { ! \int_compare_p:nNn { \l_phone_ziffernzahl_int } < { \l_phone_gruppierungsminimum_int } } + { \int_if_odd_p:n {##1} } + { \int_compare_p:nNn {##1} < { \l_phone_ziffernzahl_int } } + } + { + \tl_put_right:Nn \l_phone_formatierte_nummer_tl {\,} + } + } + + \tl_put_right:NV \l_phone_ausgabetext_tl \l_phone_formatierte_nummer_tl + } + +\cs_generate_variant:Nn \phone_versetzt_gruppiert_schreiben:n {x} + + +% einen Nummernteil von hinten in Zweiergruppen gruppiert schreiben, sofern er nicht kürzer als das Gruppierungsminimum ist \cs_new_protected:Npn \phone_von_hinten_gruppiert_schreiben:n #1 { \int_set:Nn \l_phone_ziffernzahl_int { \tl_count:n {#1} } @@ -440,10 +485,15 @@ { \tl_put_left:Nx \l_phone_formatierte_nummer_tl { \tl_item:nn {#1} {##1} } - \int_if_even:nT { \l_phone_ziffernzahl_int + 1 - ##1 } + % Nach jeder zweiten Ziffer wird ein kleiner Abstand eingefügt, wenn die Ziffernzahl nicht unterhalb des Gruppierungsminimums liegt. + \bool_lazy_all:nT + { + { ! \int_compare_p:nNn { \l_phone_ziffernzahl_int } < { \l_phone_gruppierungsminimum_int } } + { \int_if_even_p:n { \l_phone_ziffernzahl_int + 1 - ##1 } } + { \int_compare_p:nNn {##1} > {1} } + } { - \int_compare:nNnT {##1} > {1} - { \tl_put_left:Nn \l_phone_formatierte_nummer_tl {\,} } + \tl_put_left:Nn \l_phone_formatierte_nummer_tl {\,} } } @@ -576,7 +626,7 @@ \str_if_eq:xnTF { \str_head:N \l_phone_bereinigte_nummer_str } {1} { \str_set:Nn \l_phone_land_str {US} - \str_set:Nx \l_phone_bereinigte_nummer_str { \str_range:Nnn \l_phone_bereinigte_nummer_str {2} {-1} } + \str_set:Nx \l_phone_bereinigte_nummer_str { \str_tail:N \l_phone_bereinigte_nummer_str } } { \int_compare:nNnTF {\l_tmpa_int} > {2} @@ -928,14 +978,27 @@ % sechsstellige britische Vorwahl: Gliederung vor der zweitletzten Ziffer \bool_if:NTF #2 { - \tl_put_right:Nx \l_phone_ausgabetext_tl { \str_range:nnn {#1} {1} {4} } + \int_compare:nNnTF {\l_phone_gruppierungsminimum_int} > {6} + { + \tl_put_right:Nn \l_phone_ausgabetext_tl {#1} + } + { + \tl_put_right:Nx \l_phone_ausgabetext_tl { \str_range:nnn {#1} {1} {4} } + \tl_put_right:Nn \l_phone_ausgabetext_tl {\,} + \tl_put_right:Nx \l_phone_ausgabetext_tl { \str_range:nnn {#1} {5} {6} } + } } { - \tl_put_right:Nx \l_phone_ausgabetext_tl { \str_tail:x { \str_range:nnn {#1} {1} {4} } } + \int_compare:nNnTF {\l_phone_gruppierungsminimum_int} > {5} + { + \tl_put_right:Nx \l_phone_ausgabetext_tl { \str_tail:n {#1} } + } + { + \tl_put_right:Nx \l_phone_ausgabetext_tl { \str_range:nnn {#1} {2} {4} } + \tl_put_right:Nn \l_phone_ausgabetext_tl {\,} + \tl_put_right:Nx \l_phone_ausgabetext_tl { \str_range:nnn {#1} {5} {6} } + } } - - \tl_put_right:Nn \l_phone_ausgabetext_tl {\,} - \tl_put_right:Nx \l_phone_ausgabetext_tl { \str_range:nnn {#1} {5} {6} } } { % nicht sechsstellige britische Vorwahl @@ -952,23 +1015,19 @@ % nichtbritische Vorwahl \bool_lazy_and:nnTF { \str_if_eq_p:Vn \l_phone_land_str {DE} } { \int_compare_p:nNn { \str_count:n {#1} } = {5} } { - % fünfstellige deutsche Vorwahl \str_set:Nx \l_tmpa_str { \str_range:nnn {#1} {1} {4} } - \str_set:Nx \l_tmpb_str { \str_range:nnn {#1} {5} {5} } + % fünfstellige deutsche Vorwahl \bool_lazy_or:nnTF { \str_if_eq_p:Vn \l_tmpa_str {0137} } { \str_if_eq_p:Vn \l_tmpa_str {0180} } { % fünfstellige deutsche Vorwahl mit Tarifkennung: letzte Ziffer steht allein \bool_if:NTF #2 { - \phone_von_hinten_gruppiert_schreiben:V \l_tmpa_str + \phone_von_vorne_gruppiert_schreiben:n {#1} } { - \phone_von_hinten_gruppiert_schreiben:x { \str_tail:N \l_tmpa_str } + \phone_versetzt_gruppiert_schreiben:x { \str_tail:n {#1} } } - - \tl_put_right:Nn \l_phone_ausgabetext_tl {\,} - \tl_put_right:NV \l_phone_ausgabetext_tl \l_tmpb_str } { % fünfstellige deutsche Vorwahl ohne Tarifkennung @@ -1644,7 +1703,7 @@ } % #1: Vorwahl, #2: Rufnummer -\cs_new_protected:Npn \phone_FR_vorwahl_schreiben:nn #1#2 +\cs_new_protected:Npn \phone_FR_vorwahl_und_rufnummer_schreiben:nn #1#2 { \bool_lazy_or:nnTF { \str_if_eq_p:Vn \l_phone_auslandsvorwahltyp_str {off} } { \str_if_eq_p:Vn \l_phone_heimatland_str {FR} } { @@ -1656,15 +1715,16 @@ } } - \bool_lazy_and:nnF { \str_if_eq_p:Vn \l_phone_heimatland_str {FR} } { \str_if_eq_p:Vn \l_phone_heimatvorwahl_str {#1} } + \bool_lazy_and:nnTF { \str_if_eq_p:Vn \l_phone_heimatland_str {FR} } { \str_if_eq_p:Vn \l_phone_heimatvorwahl_str {#1} } + { + \phone_von_hinten_gruppiert_schreiben:n {#2} % reine Teilnehmerrufnummer in Saint-Pierre-et-Miquelon + } { \str_case:Vn \l_phone_vorwahldarstellung_str { {number} { - \phone_von_vorne_gruppiert_schreiben:n {#1} - \int_if_even:nT { \str_count:n {#1} } - { \tl_put_right:Nn \l_phone_ausgabetext_tl {\,} } + \phone_von_vorne_gruppiert_schreiben:V \l_phone_bereinigte_nummer_str } {place} { @@ -1672,11 +1732,10 @@ { \tl_put_right:Nv \l_phone_ausgabetext_tl {c_phone_FR_ortsname_#1_tl} \tl_put_right:NV \l_phone_ausgabetext_tl \c_space_tl + \phone_von_vorne_gruppiert_schreiben:n {#2} } { - \phone_von_vorne_gruppiert_schreiben:n {#1} - \int_if_even:nT { \str_count:n {#1} } - { \tl_put_right:Nn \l_phone_ausgabetext_tl {\,} } + \phone_von_vorne_gruppiert_schreiben:V \l_phone_bereinigte_nummer_str } } {place-and-number} @@ -1687,9 +1746,7 @@ \tl_put_right:NV \l_phone_ausgabetext_tl \c_space_tl } - \phone_von_vorne_gruppiert_schreiben:n {#1} - \int_if_even:nT { \str_count:n {#1} } - { \tl_put_right:Nn \l_phone_ausgabetext_tl {\,} } + \phone_von_vorne_gruppiert_schreiben:V \l_phone_bereinigte_nummer_str } } } @@ -1699,38 +1756,25 @@ \tl_put_right:NV \l_phone_ausgabetext_tl \c_space_tl - \str_if_eq:nnF {#1} {0508} % in Saint-Pierre-et-Miquelon entfällt die Ortsvorwahl + \str_if_eq:nnTF {#1} {0508} % in Saint-Pierre-et-Miquelon entfällt die Ortsvorwahl { - \int_if_even:nTF { \str_count:n {#2} } - { - % Rufnummer hat gerade Stellenanzahl - \phone_von_hinten_gruppiert_schreiben:x { \str_tail:n {#1} } - \tl_put_right:Nn \l_phone_ausgabetext_tl {\,} - } - { - \int_if_even:nTF { \str_count:n {#1} } - { - % Rufnummer hat ungerade Stellenanzahl, die Vorwahl ohne die 0 auch - \phone_von_vorne_gruppiert_schreiben:x { \str_tail:n {#1} } - } - { - % Rufnummer hat ungerade Stellenanzahl, die Vorwahl ohne die 0 hat gerade Stellenanzahl - \tl_put_right:Nx \l_phone_ausgabetext_tl { \str_item:nn {#1} {2} \, } - \phone_von_vorne_gruppiert_schreiben:x { \str_range:nnn {#1} {3} {-1} } - } - } + \phone_von_hinten_gruppiert_schreiben:n {#2} + } + { + \phone_von_hinten_gruppiert_schreiben:x { \str_tail:N \l_phone_bereinigte_nummer_str } } } + % Linktext schreiben: \str_put_right:Nx \l_phone_linktext_str { + \phone_FR_ermittle_landeskennzahl:n {#1} } - \str_if_eq:nnF {#1} {0508} % in Saint-Pierre-et-Miquelon entfällt die Ortsvorwahl { \str_put_right:Nx \l_phone_linktext_str { \str_tail:n {#1} } } + \str_put_right:Nn \l_phone_linktext_str {#2} } -\cs_generate_variant:Nn \phone_FR_vorwahl_schreiben:nn {VV,xV} +\cs_generate_variant:Nn \phone_FR_vorwahl_und_rufnummer_schreiben:nn {Vx,xx} \cs_new_protected:Npn \phone_FR_nummer_schreiben: @@ -1771,43 +1815,37 @@ \int_compare:nNnTF { \str_item:Nn \l_phone_bereinigte_nummer_str {5} } < {5} { % überlange Mobilfunknummer (machine to machine) im Mutterland (14 Stellen) - \str_set:Nx \l_phone_rufnummer_str { \str_range:Nnn \l_phone_bereinigte_nummer_str {5} {-1} } - \phone_FR_vorwahl_schreiben:xV { \str_range:Nnn \l_phone_bereinigte_nummer_str {1} {4} } \l_phone_rufnummer_str \phone_nummernlaenge_ueberpruefen:Vnnn \l_phone_bereinigte_nummer_str {14} {14} {machine~to~machine} - \bool_if:NT \l_phone_teilnehmerrufnummer_gueltig_bool + \bool_if:NTF \l_phone_teilnehmerrufnummer_gueltig_bool + { + \phone_FR_vorwahl_und_rufnummer_schreiben:xx + { + \str_range:Nnn \l_phone_bereinigte_nummer_str {1} {4} + } + { + \str_range:Nnn \l_phone_bereinigte_nummer_str {5} {-1} + } + } { - \phone_von_vorne_gruppiert_schreiben:V \l_phone_rufnummer_str + \tl_put_right:NV \l_phone_ausgabetext_tl \l_phone_bereinigte_nummer_str } } { % überlange Mobilfunknummer (machine to machine) in den Überseegebieten (13 Stellen) - \str_set:Nx \l_phone_rufnummer_str { \str_range:Nnn \l_phone_bereinigte_nummer_str {6} {-1} } - \phone_FR_vorwahl_schreiben:xV { \str_range:Nnn \l_phone_bereinigte_nummer_str {1} {5} } \l_phone_rufnummer_str \phone_nummernlaenge_ueberpruefen:Vnnn \l_phone_bereinigte_nummer_str {13} {13} {machine~to~machine} - \bool_if:NT \l_phone_teilnehmerrufnummer_gueltig_bool + \bool_if:NTF \l_phone_teilnehmerrufnummer_gueltig_bool { - \bool_lazy_or:nnTF { \str_if_eq_p:Vn \l_phone_auslandsvorwahltyp_str {off} } { \str_if_eq_p:Vn \l_phone_heimatland_str {FR} } + \phone_FR_vorwahl_und_rufnummer_schreiben:xx { - % ohne Auslandsvorwahl steht am Ende eine Einzelziffer - \tl_put_right:Nx \l_phone_ausgabetext_tl { \str_head:N \l_phone_rufnummer_str \, } - \phone_von_vorne_gruppiert_schreiben:x { \str_tail:N \l_phone_rufnummer_str } + \str_range:Nnn \l_phone_bereinigte_nummer_str {1} {5} } { - % mit Auslandsvorwahl ergeben sich durchgehend Zweiergruppen - \phone_von_vorne_gruppiert_schreiben:V \l_phone_rufnummer_str + \str_range:Nnn \l_phone_bereinigte_nummer_str {6} {-1} } } - } - - \bool_if:NTF \l_phone_teilnehmerrufnummer_gueltig_bool - { - % Für gültige Nummern Linktext schreiben: - \str_put_right:NV \l_phone_linktext_str \l_phone_rufnummer_str - } - { - % Für ungültige Nummern Linktext löschen und ungruppierte Nummer schreiben: - \str_clear:N \l_phone_linktext_str - \tl_put_right:NV \l_phone_ausgabetext_tl \l_phone_rufnummer_str + { + \tl_put_right:NV \l_phone_ausgabetext_tl \l_phone_bereinigte_nummer_str + } } } { @@ -1831,10 +1869,10 @@ \clist_if_in:NVT \c_phone_FR_vorwahlen_clist \l_tmpa_str { \bool_set_true:N \l_phone_vorwahl_gefunden_bool - \str_set:Nx \l_phone_rufnummer_str { \str_range:Nnn \l_phone_bereinigte_nummer_str {##1 + 1} {-1} } - \phone_FR_vorwahl_schreiben:VV \l_tmpa_str \l_phone_rufnummer_str - \phone_von_hinten_gruppiert_schreiben:V \l_phone_rufnummer_str - \str_put_right:NV \l_phone_linktext_str \l_phone_rufnummer_str + \phone_FR_vorwahl_und_rufnummer_schreiben:Vx \l_tmpa_str + { + \str_range:Nnn \l_phone_bereinigte_nummer_str {##1 + 1} {-1} + } } } } diff --git a/macros/latex/contrib/runcode/runcode.pdf b/macros/latex/contrib/runcode/runcode.pdf index f80903c471..4380e8bf59 100644 Binary files a/macros/latex/contrib/runcode/runcode.pdf and b/macros/latex/contrib/runcode/runcode.pdf differ diff --git a/macros/latex/contrib/runcode/runcode.sty b/macros/latex/contrib/runcode/runcode.sty index 187bd77b0a..79da32c579 100644 --- a/macros/latex/contrib/runcode/runcode.sty +++ b/macros/latex/contrib/runcode/runcode.sty @@ -170,13 +170,13 @@ \IfFileExists{#2}{ \ifthenelse{\isempty{#3}}{ \ifminted - \inputminted[fontsize=\footnotesize,linenos, frame=single, bgcolor=bg, breaklines=true]{#1}{#2} + \inputminted{#1}{#2} \else \VerbatimInput[fontsize=\footnotesize,linenos=true,frame=single,breaklines]{#2} \fi }{ \ifminted - \inputminted[fontsize=\footnotesize,linenos,frame=single, bgcolor=bg, breaklines=true, firstline=#3, lastline=#4, firstnumber=1]{#1}{#2} + \inputminted[firstline=#3, lastline=#4, firstnumber=1]{#1}{#2} \else \VerbatimInput[fontsize=\footnotesize,linenos=true,frame=single,breaklines, firstline=#3, lastline=#4, firstnumber=1]{#2} \fi @@ -232,7 +232,7 @@ \IfFileExists{\tmpname} { \ifstrequal{#2}{vbox} - {\begin{tcolorbox}[breakable,colback=red!5!white,colframe=red!75!black] + {\begin{tcolorbox} \ifminted\unskip \inputminted[fontsize=\footnotesize,breaklines=true]{text}{\tmpname}\unskip \else\unskip @@ -275,7 +275,7 @@ \IfFileExists{\tmpname.tex} {\checkZeroBytes{\tmpname.tex}\unskip \ifstrequal{#3}{vbox} - {\begin{tcolorbox}[breakable,colback=red!5!white,colframe=red!75!black] + {\begin{tcolorbox} \ifminted\unskip \inputminted[fontsize=\footnotesize,breaklines=true]{text}{\tmpname.tex}\unskip \else\unskip diff --git a/macros/latex/contrib/runcode/runcode.tex b/macros/latex/contrib/runcode/runcode.tex index 1d1dccdf94..eadfc13c15 100644 --- a/macros/latex/contrib/runcode/runcode.tex +++ b/macros/latex/contrib/runcode/runcode.tex @@ -15,9 +15,9 @@ \documentclass{ltxdoc} \usepackage[hyphens]{url} %\usepackage{runcode} -\ProvidesPackage{runcode}[2022/05/03 runcode v1.1] +\ProvidesPackage{runcode}[2022/05/14 runcode v1.3] \begin{document} - \title{The \textsf{runcode} package\thanks{This document corresponds to \textsf{runcode}~v1.2, dated~2022/05/03.}} + \title{The \textsf{runcode} package\thanks{This document corresponds to \textsf{runcode}~v1.3, dated~2022/05/14.}} \author{Haim Bar and HaiYing Wang \\ \texttt{haim.bar@uconn.edu}, \texttt{haiying.wang@uconn.edu}} \maketitle @@ -166,6 +166,7 @@ Available options are: \section{Revisions} \begin{itemize} +\item v1.3, May 14, 2022: Removed the hard-coded minted options. \item v1.2, May 3, 2022: Added python options (server and batch). \item v1.1, April 17, 2021: Added a nohup option; improved error handling (missing code files, zero bytes in output files.) \end{itemize} diff --git a/macros/luatex/generic/lua-widow-control/README.md b/macros/luatex/generic/lua-widow-control/README.md index 77dd7734da..cc6aed7ba0 100644 --- a/macros/luatex/generic/lua-widow-control/README.md +++ b/macros/luatex/generic/lua-widow-control/README.md @@ -48,4 +48,4 @@ Lua-widow-control is licensed under the [_Mozilla Public License_, version 2.0]( Please note that a compiled document is absolutely **not** considered to be an "Executable Form" as defined by the MPL. The use of lua-widow-control in a document does not place **any** obligations on the document's author or distributors. The MPL and CC-BY-SA licenses **only** apply to you if you distribute the lua-widow-control source code or documentation. --- -_v2.0.6 (2022-04-23)_ +_v2.1.0 (2022-05-14)_ diff --git a/macros/luatex/generic/lua-widow-control/lua-widow-control-2022-02-22.sty b/macros/luatex/generic/lua-widow-control/lua-widow-control-2022-02-22.sty index e8b2eefb0a..d67c68d2fd 100644 --- a/macros/luatex/generic/lua-widow-control/lua-widow-control-2022-02-22.sty +++ b/macros/luatex/generic/lua-widow-control/lua-widow-control-2022-02-22.sty @@ -7,6 +7,15 @@ \ProvidesPackage{lua-widow-control}% [2022/02/22 v1.1.6] +% The version number above is somewhat-misleading: I will make bugfixes to this file +% from time to time, but the core of the file will not change. Therefore, we should +% report a real version number here for debugging. +\PackageInfo{lua-widow-control}{% + Real version: + 2022/05/14 %%dashdate + v2.1.0 %%version +} + \PackageWarning{lua-widow-control}{% Old LaTeX format detected!\MessageBreak\MessageBreak Lua-widow-control prefers a LaTeX format\MessageBreak diff --git a/macros/luatex/generic/lua-widow-control/lua-widow-control.lua b/macros/luatex/generic/lua-widow-control/lua-widow-control.lua index 94dd85e145..45360db209 100644 --- a/macros/luatex/generic/lua-widow-control/lua-widow-control.lua +++ b/macros/luatex/generic/lua-widow-control/lua-widow-control.lua @@ -5,21 +5,45 @@ SPDX-FileCopyrightText: 2022 Max Chernoff ]] +--- Tell the linter about node attributes +--- @class node +--- @field prev node +--- @field next node +--- @field id integer +--- @field subtype integer +--- @field penalty integer +--- @field height integer +--- @field depth integer + +-- Set some default variables lwc = lwc or {} lwc.name = "lua-widow-control" lwc.nobreak_behaviour = "keep" +-- Locals for `debug_print` local write_nl = texio.write_nl local string_rep = string.rep +local write_log +if status.luatex_engine == "luametatex" then + write_log = "logfile" +else + write_log = "log" +end + +--- Prints debugging messages to the log, only if `debug` is set to `true`. +--- @param title string The "title" to use +--- @param text string? The "content" to print +--- @return nil local function debug_print(title, text) if not lwc.debug then return end + -- The number of spaces we need local filler = 15 - #title if text then - write_nl("log", "LWC (" .. title .. string_rep(" ", filler) .. "): " .. text) + write_nl(write_log, "LWC (" .. title .. string_rep(" ", filler) .. "): " .. text) else - write_nl("log", "LWC: " .. string_rep(" ", 18) .. title) + write_nl(write_log, "LWC: " .. string_rep(" ", 18) .. title) end end @@ -31,16 +55,16 @@ end local format = tex.formatname local context, latex, plain, optex, lmtx -if format:find('cont') then -- cont-en, cont-fr, cont-nl, ... +if format:find("cont") then -- cont-en, cont-fr, cont-nl, ... context = true if status.luatex_engine == "luametatex" then lmtx = true end -elseif format:find('latex') then -- lualatex, lualatex-dev, ... +elseif format:find("latex") then -- lualatex, lualatex-dev, ... latex = true -elseif format == 'luatex' then -- Plain +elseif format == "luatex" then -- Plain plain = true -elseif format == 'optex' then -- OpTeX +elseif format == "optex" then -- OpTeX optex = true end @@ -48,46 +72,81 @@ end Save some local copies of the node library to reduce table lookups. This is probably a useless micro-optimization, but it can't hurt. ]] -local last = node.slide -local copy = node.copy_list or node.copylist -local par_id = node.id("par") or node.id("local_par") +-- Node ID's +local baselineskip_subid = 2 local glue_id = node.id("glue") local glyph_id = node.id("glyph") -local penalty_id = node.id("penalty") local hlist_id = node.id("hlist") -local traverse = node.traverse -local set_attribute = node.set_attribute or node.setattribute +local line_subid = 1 +local linebreakpenalty_subid = 1 +local par_id = node.id("par") or node.id("local_par") +local penalty_id = node.id("penalty") + +-- Local versions of globals +local copy = node.copy_list or node.copylist local find_attribute = node.find_attribute or node.findattribute local flush_list = node.flush_list or node.flushlist local free = node.free +local getattribute = node.get_attribute or node.getattribute +local insert_token = token.put_next or token.putnext +local last = node.slide +local new_node = node.new local node_id = node.is_node or node.isnode +local set_attribute = node.set_attribute or node.setattribute +local string_char = string.char +local traverse = node.traverse +local traverseid = node.traverse_id or node.traverseid + +-- Misc. Constants +local iffalse = token.create("iffalse") +local iftrue = token.create("iftrue") +local INFINITY = 10000 local min_col_width = tex.sp("250pt") +local SINGLE_LINE = 50 +local PAGE_MULTIPLE = 100 --[[ Package/module initialization ]] -local warning, info, attribute, contrib_head, stretch_order, pagenum, emergencystretch, max_cost +local attribute, + contrib_head, + emergencystretch, + info, + max_cost, + pagenum, + stretch_order, + warning if lmtx then + -- LMTX has removed underscores from most of the Lua parts debug_print("LMTX") - contrib_head = 'contributehead' + contrib_head = "contributehead" stretch_order = "stretchorder" else - contrib_head = 'contrib_head' + contrib_head = "contrib_head" stretch_order = "stretch_order" end if context then debug_print("ConTeXt") - warning = logs.reporter("module", lwc.name) - info = logs.reporter("module", lwc.name) + + warning = logs.reporter(lwc.name, "warning") + local _info = logs.reporter(lwc.name, "info") + info = function (text) + logs.pushtarget("logfile") + _info(text) + logs.poptarget() + end attribute = attributes.public(lwc.name) pagenum = function() return tex.count["realpageno"] end + + -- Dimen names emergencystretch = "lwc_emergency_stretch" max_cost = "lwc_max_cost" elseif plain or latex or optex then pagenum = function() return tex.count[0] end + -- Dimen names if tex.isdimen("g__lwc_emergencystretch_dim") then emergencystretch = "g__lwc_emergencystretch_dim" max_cost = "g__lwc_maxcost_int" @@ -100,8 +159,8 @@ elseif plain or latex or optex then debug_print("Plain/LaTeX") luatexbase.provides_module { name = lwc.name, - date = "2022/04/23", --%%slashdate - version = "2.0.6", --%%version + date = "2022/05/14", --%%dashdate + version = "2.1.0", --%%version description = [[ This module provides a LuaTeX-based solution to prevent @@ -114,11 +173,12 @@ paragraphs.]], attribute = luatexbase.new_attribute(lwc.name) elseif optex then debug_print("OpTeX") + warning = function(str) write_nl(lwc.name .. " Warning: " .. str) end info = function(str) write_nl("log", lwc.name .. " Info: " .. str) end attribute = alloc.new_attribute(lwc.name) end -else -- uh oh +else -- This shouldn't ever happen error [[Unsupported format. Please use LaTeX, Plain TeX, ConTeXt or OpTeX.]] @@ -126,6 +186,8 @@ end local paragraphs = {} -- List to hold the alternate paragraph versions +--- Gets the current paragraph and page locations +--- @return string local function get_location() return "At " .. pagenum() .. "/" .. #paragraphs end @@ -134,78 +196,22 @@ end Function definitions ]] ---- Create a table of functions to enable or disable a given callback ---- @param t table Parameters of the callback to create ---- callback: str = The \LuaTeX{} callback name ---- func: function = The function to call ---- name: str = The name/ID of the callback ---- category: str = The category for a \ConTeXt{} "Action" ---- position: str = The "position" for a \ConTeXt{} "Action" ---- lowlevel: bool = If we should use a lowlevel \LuaTeX{} callback instead of a ---- \ConTeXt{} "Action" ---- @return table t Enablers/Disablers for the callback ---- enable: function = Enable the callback ---- disable: function = Disable the callback -local function register_callback(t) - if plain or latex then -- Both use \LuaTeX{}Base for callbacks - return { - enable = function() - luatexbase.add_to_callback(t.callback, t.func, t.name) - end, - disable = function() - luatexbase.remove_from_callback(t.callback, t.name) - end, - } - elseif context and not t.lowlevel then - return { - -- Register the callback when the table is created, - -- but activate it when `enable()` is called. - enable = nodes.tasks.appendaction(t.category, t.position, "lwc." .. t.name) - or function() - nodes.tasks.enableaction(t.category, "lwc." .. t.name) - end, - disable = function() - nodes.tasks.disableaction(t.category, "lwc." .. t.name) - end, - } - elseif context and t.lowlevel then - --[[ - Some of the callbacks in \ConTeXt{} have no associated "actions". Unlike - with \LuaTeX{}base, \ConTeXt{} leaves some \LuaTeX{} callbacks unregistered - and unfrozen. Because of this, we need to register some callbacks at the - engine level. This is fragile though, because a future \ConTeXt{} update - may decide to register one of these functions, in which case - \lwc/ will crash with a cryptic error message. - ]] - return { - enable = function() callback.register(t.callback, t.func) end, - disable = function() callback.register(t.callback, nil) end, - } - elseif optex then - return { - enable = function() - callback.add_to_callback(t.callback, t.func, t.name) - end, - disable = function() - callback.remove_from_callback(t.callback, t.name) - end, - } - end -end - +--- Prints the initial glyphs and glue of an hlist +--- @param head node +--- @return nil local function get_chars(head) if not lwc.debug then return end local chars = "" for n in traverse(head) do if n.id == glyph_id then - if n.char < 127 then - chars = chars .. string.char(n.char) + if n.char < 127 then -- Only ASCII + chars = chars .. string_char(n.char) else - chars = chars .. "#" + chars = chars .. "#" -- Replacement for an unknown glyph end elseif n.id == glue_id then - chars = chars .. " " + chars = chars .. " " -- Any glue goes to a space end if #chars > 25 then break @@ -215,14 +221,56 @@ local function get_chars(head) debug_print(get_location(), chars) end +--- The "cost function" to use. See the manual. +--- @param demerits number The demerits of the broken paragraph +--- @param lines number The number of lines in the broken paragraph +--- @return number The cost of the broken paragraph function lwc.paragraph_cost(demerits, lines) return demerits / math.sqrt(lines) end +--- Checks if the ConTeXt "grid snapping" is active +--- @return boolean +local function grid_mode_enabled() + -- Compare the token "mode" to see if `\\ifgridsnapping` is `\\iftrue` + return token.create("ifgridsnapping").mode == iftrue.mode +end + +--- Gets the next node of a type/subtype in a node list +--- @param head node The head of the node list +--- @param id number The node type +--- @param args table? +--- subtype: number = The node subtype +--- reverse: bool = Whether we should iterate backwards +--- @return node +local function next_of_type(head, id, args) + args = args or {} + if lmtx or not args.reverse then + for n, subtype in traverseid(id, head, args.reverse) do + if (subtype == args.subtype) or (args.subtype == nil) then + return n + end + end + else -- Only LMTX has the built-in backwards traverser + while head do + if head.id == id and + (head.subtype == args.subtype or args.subtype == nil) + then + return head + end + head = head.prev + end + end +end + --- Saves each paragraph, but lengthened by 1 line +--- +--- Called by the `pre_linebreak_filter` callback +--- +--- @param head node +--- @return node function lwc.save_paragraphs(head) - -- Ensure that we were actually given a par (only under \ConTeXt{} for some reason) - if (head.id ~= par_id and context) or + if (head.id ~= par_id and context) or -- Ensure that we were actually given a par status.output_active -- Don't run during the output routine then return head @@ -231,23 +279,34 @@ function lwc.save_paragraphs(head) -- Prevent the "underfull hbox" warnings when we store a potential paragraph local renable_box_warnings if (context or optex) or - #luatexbase.callback_descriptions("hpack_quality") == 0 + #luatexbase.callback_descriptions("hpack_quality") == 0 then -- See #18 and michal-h21/linebreaker#3 renable_box_warnings = true lwc.callbacks.disable_box_warnings.enable() end - -- We need to return the unmodified head at the end, so we make a copy here local new_head = copy(head) -- Prevent ultra-short last lines (\TeX{}Book p. 104), except with narrow columns - local parfillskip = last(new_head) - if parfillskip.id == glue_id and tex.hsize > min_col_width then + -- Equivalent to \\parfillskip=0pt plus 0.8\\hsize + local parfillskip + if lmtx or last(new_head).id ~= glue_id then + -- LMTX does not automatically add the \\parfillskip glue + parfillskip = new_node("glue", "parfillskip") + else + parfillskip = last(new_head) + end + + if tex.hsize > min_col_width then parfillskip[stretch_order] = 0 parfillskip.stretch = 0.8 * tex.hsize -- Last line must be at least 20% long end + if lmtx or last(new_head).id ~= glue_id then + last(new_head).next = parfillskip + end + -- Break the paragraph 1 line longer than natural local long_node, long_info = tex.linebreak(new_head, { looseness = 1, @@ -255,25 +314,41 @@ function lwc.save_paragraphs(head) }) -- Break the natural paragraph so we know how long it was - local natural_node, natural_info = tex.linebreak(copy(head)) + nat_head = copy(head) + + if lmtx then + parfillskip = new_node("glue", "parfillskip") + parfillskip[stretch_order] = 1 + parfillskip.stretch = 1 -- 0pt plus 1fil + last(nat_head).next = parfillskip + end + + local natural_node, natural_info = tex.linebreak(nat_head) flush_list(natural_node) if renable_box_warnings then lwc.callbacks.disable_box_warnings.disable() end - -- Offset the accumulated \\prevdepth - local prevdepth = node.new("glue") - prevdepth.width = natural_info.prevdepth - long_info.prevdepth - last(long_node).next = prevdepth + if not grid_mode_enabled() then + -- Offset the accumulated \\prevdepth + local prevdepth = new_node("glue") + prevdepth.width = natural_info.prevdepth - long_info.prevdepth + last(long_node).next = prevdepth + end + + local long_cost = lwc.paragraph_cost(long_info.demerits, long_info.prevgraf) - if long_info.prevgraf == natural_info.prevgraf + 1 then + if long_info.prevgraf == natural_info.prevgraf + 1 and + long_cost > 10 -- Any paragraph that is "free" to expand is suspicious + then table.insert(paragraphs, { - cost = lwc.paragraph_cost(long_info.demerits, long_info.prevgraf), - node = long_node + cost = long_cost, + node = next_of_type(long_node, hlist_id, { subtype = line_subid }) }) end + -- Print some debugging information get_chars(head) debug_print(get_location(), "nat lines " .. natural_info.prevgraf) debug_print( @@ -288,21 +363,45 @@ function lwc.save_paragraphs(head) lwc.paragraph_cost(long_info.demerits, long_info.prevgraf) ) - -- \LuaMetaTeX{} crashes if we return `true` + -- \ConTeXt{} crashes if we return `true` return head end -local last_paragraph = 0 --- Tags the beginning and the end of each paragraph as it is added to the page. --- --- We add an attribute to the first and last node of each paragraph. The ID is --- some arbitrary number for \lwc/, and the value corresponds to the ---- paragraphs index, which is negated for the end of the paragraph. +--- paragraphs index, which is negated for the end of the paragraph. Called by the +--- `post_linebreak_filter` callback. +--- +--- @param head node +--- @return node function lwc.mark_paragraphs(head) - if not status.output_active then - set_attribute(head, attribute, #paragraphs + (100 * pagenum())) - set_attribute(last(head), attribute, -1 * (#paragraphs + (100 * pagenum()))) - last_paragraph = #paragraphs + if not status.output_active then -- Don't run during the output routine + -- Get the start and end of the paragraph + local top_para = next_of_type(head, hlist_id, { subtype = line_subid }) + local bottom_para = last(head) + + if top_para ~= bottom_para then + set_attribute( + top_para, + attribute, + #paragraphs + (PAGE_MULTIPLE * pagenum()) + ) + set_attribute( + bottom_para, + attribute, + -1 * (#paragraphs + (PAGE_MULTIPLE * pagenum())) + ) + else + -- We need a special tag for a 1-line paragraph since the node can only + -- have one attribute value + set_attribute( + top_para, + attribute, + #paragraphs + (PAGE_MULTIPLE * pagenum()) + SINGLE_LINE + ) + end end return head @@ -313,7 +412,11 @@ end --- Sometimes the node list can form a loop. Since there is no last element --- of a looped linked-list, the `last()` function will never terminate. This --- function provides a "safe" version of the `last()` function that will break ---- the loop at the end if the list is circular. +--- the loop at the end if the list is circular. Called by the `pre_output_filter` +--- callback. +--- +--- @param head node The start of a node list +--- @return node The last node in a list local function safe_last(head) local ids = {} local prev @@ -341,24 +444,15 @@ recover, but your output may be corrupted. return head end ---- Remove the widows and orphans from the page, just after the output routine. ---- ---- This function holds the "meat" of the module. It is called just after the ---- end of the output routine, before the page is shipped out. If the output ---- penalty indicates that the page was broken at a widow or an orphan, we ---- replace one paragraph with the same paragraph, but lengthened by one line. ---- Then, we can push the bottom line of the page to the next page. -function lwc.remove_widows(head) - local head_save = head -- Save the start of the `head` linked-list - - local penalty = tex.outputpenalty - tex.interlinepenalty +--- Checks to see if a penalty matches the widow/orphan/broken penalties +--- @param penalty number +--- @return boolean +function is_matching_penalty(penalty) local widowpenalty = tex.widowpenalty local clubpenalty = tex.clubpenalty local displaywidowpenalty = tex.displaywidowpenalty local brokenpenalty = tex.brokenpenalty - debug_print("outputpenalty", tex.outputpenalty .. " " .. #paragraphs) - --[[ We only need to process pages that have orphans or widows. If `paragraphs` is empty, then there is nothing that we can do. @@ -366,26 +460,47 @@ function lwc.remove_widows(head) The list of penalties is from: https://tug.org/TUGboat/tb39-3/tb123mitt-widows-code.pdf#subsection.0.2.1 ]] - if penalty ~= 0 and - penalty < 10000 and - (penalty == widowpenalty or - penalty == displaywidowpenalty or - penalty == clubpenalty or - penalty == clubpenalty + widowpenalty or - penalty == clubpenalty + displaywidowpenalty or - penalty == brokenpenalty or - penalty == brokenpenalty + widowpenalty or - penalty == brokenpenalty + displaywidowpenalty or - penalty == brokenpenalty + clubpenalty or - penalty == brokenpenalty + clubpenalty + widowpenalty or - penalty == brokenpenalty + clubpenalty + displaywidowpenalty) and - #paragraphs >= 1 then - else + penalty = penalty - tex.interlinepenalty + + return penalty ~= 0 and + penalty < INFINITY and ( + penalty == widowpenalty or + penalty == displaywidowpenalty or + penalty == clubpenalty or + penalty == clubpenalty + widowpenalty or + penalty == clubpenalty + displaywidowpenalty or + penalty == brokenpenalty or + penalty == brokenpenalty + widowpenalty or + penalty == brokenpenalty + displaywidowpenalty or + penalty == brokenpenalty + clubpenalty or + penalty == brokenpenalty + clubpenalty + widowpenalty or + penalty == brokenpenalty + clubpenalty + displaywidowpenalty + ) +end + +--- Remove the widows and orphans from the page, just after the output routine. +--- +--- This function holds the "meat" of the module. It is called just after the +--- end of the output routine, before the page is shipped out. If the output +--- penalty indicates that the page was broken at a widow or an orphan, we +--- replace one paragraph with the same paragraph, but lengthened by one line. +--- Then, we can push the bottom line of the page to the next page. +--- +--- @param head node +--- @return node +function lwc.remove_widows(head) + local head_save = head -- Save the start of the `head` linked-list + + debug_print("outputpenalty", tex.outputpenalty .. " " .. #paragraphs) + + if not is_matching_penalty(tex.outputpenalty) or + #paragraphs == 0 + then paragraphs = {} return head_save end - info("Widow/orphan detected. Attempting to remove.") + info("Widow/orphan/broken hyphen detected. Attempting to remove") --[[ Find the paragraph on the page with the least cost. @@ -393,10 +508,38 @@ function lwc.remove_widows(head) local paragraph_index = 1 local best_cost = paragraphs[paragraph_index].cost + local last_paragraph + local head_last = last(head) + -- Find the last paragraph on the page, starting at the end, heading in reverse + while head_last do + local value = getattribute(head_last, attribute) + if value then + last_paragraph = value % PAGE_MULTIPLE + break + end + + head_last = head_last.prev + end + + local first_paragraph + -- Find the first paragraph on the page, from the top + local first_attribute_val, first_attribute_head = find_attribute(head, attribute) + if first_attribute_val // 100 == pagenum() - 1 then + -- If the first complete paragraph on the page was initially broken on the + -- previous page, then we can't expand it here so we need to skip it. + first_paragraph = find_attribute( + first_attribute_head.next, + attribute + ) % PAGE_MULTIPLE + else + first_paragraph = first_attribute_val % PAGE_MULTIPLE + end + -- We find the current "best" replacement, then free the unused ones for i, paragraph in pairs(paragraphs) do if paragraph.cost < best_cost and - i ~= last_paragraph + i < last_paragraph and + i >= first_paragraph then -- Clear the old best paragraph flush_list(paragraphs[paragraph_index].node) @@ -421,10 +564,10 @@ function lwc.remove_widows(head) ) if best_cost > tex.getcount(max_cost) or - paragraph_index == last_paragraph + paragraph_index == last_paragraph then -- If the best replacement is too bad, we can't do anything - warning("Widow/Orphan NOT removed on page " .. pagenum()) + warning("Widow/Orphan/broken hyphen NOT removed on page " .. pagenum()) paragraphs = {} return head_save end @@ -434,12 +577,13 @@ function lwc.remove_widows(head) -- Start of final paragraph debug_print("remove_widows", "moving last line") + -- Here we check to see if the widow/orphan was preceded by a large penalty head = last(head_save).prev local big_penalty_found, last_line, hlist_head while head do if head.id == glue_id then -- Ignore any glue nodes - elseif head.id == penalty_id and head.penalty >= 10000 then + elseif head.id == penalty_id and head.penalty >= INFINITY then -- Infinite break penalty big_penalty_found = true elseif big_penalty_found and head.id == hlist_id then @@ -451,7 +595,7 @@ function lwc.remove_widows(head) head = last(head_save) break elseif lwc.nobreak_behaviour == "warn" then - warning("Widow/Orphan NOT removed on page " .. pagenum()) + warning("Widow/Orphan/broken hyphen NOT removed on page " .. pagenum()) paragraphs = {} return head_save end @@ -467,6 +611,17 @@ function lwc.remove_widows(head) head = head.prev end + local potential_penalty = head.prev.prev + + if potential_penalty and + potential_penalty.id == penalty_id and + potential_penalty.subtype == linebreakpenalty_subid and + is_matching_penalty(potential_penalty.penalty) + then + warning("Making a new widow/orphan/broken hyphen on page " .. pagenum()) + end + + last_line = copy(head) last(last_line).next = copy(tex.lists[contrib_head]) @@ -489,18 +644,50 @@ function lwc.remove_widows(head) debug_print("remove_widows", "found " .. value) -- Insert the start of the replacement paragraph - if value == paragraph_index + (100 * pagenum()) then + if value == paragraph_index + (PAGE_MULTIPLE * pagenum()) or + value == paragraph_index + (PAGE_MULTIPLE * pagenum()) + SINGLE_LINE + then debug_print("remove_widows", "replacement start") safe_last(target_node) -- Remove any loops + -- Fix the `\\baselineskip` glue between paragraphs + height_difference = ( + next_of_type(head, hlist_id, { subtype = line_subid }).height - + next_of_type(target_node, hlist_id, { subtype = line_subid }).height + ) + + local prev_bls = next_of_type( + head, + glue_id, + { subtype = baselineskip_subid, reverse = true } + ) + + if prev_bls then + prev_bls.width = prev_bls.width + height_difference + end + head.prev.next = target_node free_next_nodes = true end -- Insert the end of the replacement paragraph - if value == -1 * (paragraph_index + (100 * pagenum())) then + if value == -1 * (paragraph_index + (PAGE_MULTIPLE * pagenum())) or + value == paragraph_index + (PAGE_MULTIPLE * pagenum()) + SINGLE_LINE + then debug_print("remove_widows", "replacement end") - safe_last(target_node).next = head.next + local target_node_last = safe_last(target_node) + + if grid_mode_enabled() then + -- Account for the difference in depth + local after_glue = new_node("glue") + after_glue.width = head.depth - target_node_last.depth + target_node_last.next = after_glue + + after_glue.next = head.next + else + target_node_last.next = head.next + end + break end @@ -512,11 +699,10 @@ function lwc.remove_widows(head) end info( - "Widow/orphan successfully removed at paragraph " + "Widow/orphan/broken hyphen successfully removed at paragraph " .. paragraph_index .. " on page " .. pagenum() - .. "." ) paragraphs = {} -- Clear paragraphs array at the end of the page @@ -524,31 +710,90 @@ function lwc.remove_widows(head) return head_save end +--- Create a table of functions to enable or disable a given callback +--- @param t table Parameters of the callback to create +--- callback: string = The \LuaTeX{} callback name +--- func: function = The function to call +--- name: string = The name/ID of the callback +--- category: string = The category for a \ConTeXt{} "Action" +--- position: string = The "position" for a \ConTeXt{} "Action" +--- lowlevel: boolean = If we should use a lowlevel \LuaTeX{} callback instead of a +--- \ConTeXt{} "Action" +--- @return table t Enablers/Disablers for the callback +--- enable: function = Enable the callback +--- disable: function = Disable the callback +local function register_callback(t) + if plain or latex then -- Both use \LuaTeX{}Base for callbacks + return { + enable = function() + luatexbase.add_to_callback(t.callback, t.func, t.name) + end, + disable = function() + luatexbase.remove_from_callback(t.callback, t.name) + end, + } + elseif context and not t.lowlevel then + return { + -- Register the callback when the table is created, + -- but activate it when `enable()` is called. + enable = nodes.tasks.appendaction(t.category, t.position, "lwc." .. t.name) + or function() + nodes.tasks.enableaction(t.category, "lwc." .. t.name) + end, + disable = function() + nodes.tasks.disableaction(t.category, "lwc." .. t.name) + end, + } + elseif context and t.lowlevel then + --[[ + Some of the callbacks in \ConTeXt{} have no associated "actions". Unlike + with \LuaTeX{}base, \ConTeXt{} leaves some \LuaTeX{} callbacks unregistered + and unfrozen. Because of this, we need to register some callbacks at the + engine level. This is fragile though, because a future \ConTeXt{} update + may decide to register one of these functions, in which case + \lwc/ will crash with a cryptic error message. + ]] + return { + enable = function() callback.register(t.callback, t.func) end, + disable = function() callback.register(t.callback, nil) end, + } + elseif optex then -- Op\TeX{} is very similar to luatexbase + return { + enable = function() + callback.add_to_callback(t.callback, t.func, t.name) + end, + disable = function() + callback.remove_from_callback(t.callback, t.name) + end, + } + end +end + -- Add all of the callbacks lwc.callbacks = { disable_box_warnings = register_callback({ callback = "hpack_quality", - func = function() end, - name = "disable_box_warnings", + func = function() end, + name = "disable_box_warnings", lowlevel = true, }), remove_widows = register_callback({ callback = "pre_output_filter", - func = lwc.remove_widows, - name = "remove_widows", + func = lwc.remove_widows, + name = "remove_widows", lowlevel = true, }), save_paragraphs = register_callback({ callback = "pre_linebreak_filter", - func = lwc.save_paragraphs, - name = "save_paragraphs", + func = lwc.save_paragraphs, + name = "save_paragraphs", category = "processors", position = "after", }), mark_paragraphs = register_callback({ callback = "post_linebreak_filter", - func = lwc.mark_paragraphs, - name = "mark_paragraphs", + func = lwc.mark_paragraphs, + name = "mark_paragraphs", category = "finalizers", position = "after", }), @@ -556,6 +801,7 @@ lwc.callbacks = { local enabled = false +--- Enable the paragraph callbacks function lwc.enable_callbacks() debug_print("callbacks", "enabling") if not enabled then @@ -568,6 +814,7 @@ function lwc.enable_callbacks() end end +--- Disable the paragraph callbacks function lwc.disable_callbacks() debug_print("callbacks", "disabling") if enabled then @@ -588,12 +835,88 @@ end function lwc.if_lwc_enabled() debug_print("iflwc") if enabled then - tex.sprint("\\iftrue") + insert_token(iftrue) else - tex.sprint("\\iffalse") + insert_token(iffalse) + end +end + +--- Mangles a macro name so that it's suitable for a specific format +--- @param name string The plain name +--- @param args table The TeX types of the function arguments +--- @return string The mangled name +local function mangle_name(name, args) + if plain then + return "lwc@" .. name:gsub("_", "@") + elseif optex then + return "_lwc_" .. name + elseif context then + return "lwc_" .. name + elseif latex then + return "__lwc_" .. name .. ":" .. string_rep("n", #args) + end +end + +--- Creates a TeX command that evaluates a Lua function +--- @param name string The name of the csname to define +--- @param func function +--- @param args table The TeX types of the function arguments +--- @return nil +local function register_tex_cmd(name, func, args) + local scanning_func + name = mangle_name(name, args) + + if not context then + local scanners = {} + for _, arg in ipairs(args) do + scanners[#scanners+1] = token['scan_' .. arg] + end + + scanning_func = function() + local values = {} + for _, scanner in ipairs(scanners) do + values[#values+1] = scanner() + end + + func(table.unpack(values)) + end + end + + if optex then + define_lua_command(name, scanning_func) + return + elseif plain or latex then + local index = luatexbase.new_luafunction(name) + lua.get_functions_table()[index] = scanning_func + token.set_lua(name, index) + elseif context then + interfaces.implement { + name = name, + public = true, + arguments = args, + actions = func + } end end +register_tex_cmd("if_enabled", lwc.if_lwc_enabled, {}) +register_tex_cmd("enable", lwc.enable_callbacks, {}) +register_tex_cmd("disable", lwc.disable_callbacks, {}) +register_tex_cmd( + "nobreak", + function(str) + lwc.nobreak_behaviour = str + end, + { "string" } +) +register_tex_cmd( + "debug", + function(str) + lwc.debug = str ~= "0" and str ~= "false" and str ~= "stop" + end, + { "string" } +) + --- Silence the luatexbase "Enabling/Removing " info messages --- --- Every time that a paragraph is typeset, \lwc/ hooks in @@ -612,12 +935,12 @@ end local function silence_luatexbase() local nups = debug.getinfo(luatexbase.add_to_callback).nups - for x = 1, nups do - local name, func = debug.getupvalue(luatexbase.add_to_callback, x) + for i = 1, nups do + local name, func = debug.getupvalue(luatexbase.add_to_callback, i) if name == "luatexbase_log" then debug.setupvalue( luatexbase.add_to_callback, - x, + i, function(text) if text:match("^Inserting") or text:match("^Removing") then return diff --git a/macros/luatex/generic/lua-widow-control/lua-widow-control.opm b/macros/luatex/generic/lua-widow-control/lua-widow-control.opm index afae1aa6a6..cb6f4c06f9 100644 --- a/macros/luatex/generic/lua-widow-control/lua-widow-control.opm +++ b/macros/luatex/generic/lua-widow-control/lua-widow-control.opm @@ -3,7 +3,7 @@ % SPDX-License-Identifier: MPL-2.0+ % SPDX-FileCopyrightText: 2022 Max Chernoff -\_codedecl\lwcenable{lua-widow-control } %%version +\_codedecl\lwcenable{lua-widow-control } %%version \_namespace{lwc} \_clubpenalty=1 @@ -19,14 +19,6 @@ \_directlua{require "lua-widow-control"} -% Define \TeX{} wrappers for Lua functions -\_def\.enable{\_directlua{lwc.enable_callbacks()}} -\_def\.disable{\_directlua{lwc.disable_callbacks()}} -\_def\.iflwc{\_directlua{lwc.if_lwc_enabled()}} - -\_let\lwcenable=\.enable -\_let\lwcdisable=\.disable - % Enable \lwc/ by default when the package is loaded. \.enable @@ -37,7 +29,7 @@ \_newcount\.disable_count \_def\.patch_pre{% - \.iflwc% + \.if_enabled% \_advance\.disable_count by 1% \.disable% \_fi% @@ -70,11 +62,18 @@ \_endgroup% \_fi% } -\_let\lwcdisablecmd=\.disable_cmd \.disable_cmd{\_printchap} \.disable_cmd{\_printsec} \.disable_cmd{\_printsecc} +% Make the commands public +\_let\lwcenable=\.enable +\_let\lwcdisable=\.disable +\_let\lwcdisablecmd=\.disable_cmd +\_let\lwcdebug=\.debug +\_let\iflwc=\.if_enabled +\_let\lwcnobreak=\.nobreak + \_endnamespace \_endcode diff --git a/macros/luatex/generic/lua-widow-control/lua-widow-control.pdf b/macros/luatex/generic/lua-widow-control/lua-widow-control.pdf index 3ab6e51886..709042c553 100644 Binary files a/macros/luatex/generic/lua-widow-control/lua-widow-control.pdf and b/macros/luatex/generic/lua-widow-control/lua-widow-control.pdf differ diff --git a/macros/luatex/generic/lua-widow-control/lua-widow-control.sty b/macros/luatex/generic/lua-widow-control/lua-widow-control.sty index a44b5af1da..e7179e6a9e 100644 --- a/macros/luatex/generic/lua-widow-control/lua-widow-control.sty +++ b/macros/luatex/generic/lua-widow-control/lua-widow-control.sty @@ -13,7 +13,7 @@ \DeclareRelease{}{0000-00-00}{lua-widow-control-2022-02-22.sty} \DeclareRelease{v1.1.6}{2022-02-22}{lua-widow-control-2022-02-22.sty} -\DeclareCurrentRelease{v2.0.6}{2022-04-23} %%version %%dashdate +\DeclareCurrentRelease{v2.1.0}{2022-05-14} %%version %%dashdate % If this version of LaTeX doesn't support command hooks, then we load % the last v1.1.X version of the package. @@ -23,8 +23,8 @@ \ProvidesExplPackage {lua-widow-control} - {2022/04/23} %%slashdate - {v2.0.6} %%version + {2022/05/14} %%dashdate + {v2.1.0} %%version {Use Lua to remove widows and orphans} % Unconditional Package Loads @@ -105,6 +105,7 @@ disablecmds .clist_gset:N = \g__lwc_disablecmds_cl, disablecmds .value_required:n = false, disablecmds .initial:n = { \@sect, % LaTeX default + \@ssect, % LaTeX starred \M@sect, % Memoir \@mem@old@ssect, % Memoir Starred \ttl@straight@ii, % titlesec normal @@ -112,11 +113,6 @@ \ttl@part@ii, % titlesec part }, disablecmds .usage:n = preamble, - - nobreak .choice:, - nobreak / keep .code:n = \lua_now:n { lwc.nobreak_behaviour = "keep" }, - nobreak / split .code:n = \lua_now:n { lwc.nobreak_behaviour = "split" }, - nobreak / warn .code:n = \lua_now:n { lwc.nobreak_behaviour = "warn" }, } % Load the Lua code @@ -138,16 +134,10 @@ } % Core Function Definitions -\cs_new:Npn \__lwc_enable: { - \lua_now:n { lwc.enable_callbacks() } -} +\cs_new_eq:NN \iflwc \__lwc_iflwc: -\cs_new:Npn \__lwc_disable: { - \lua_now:n { lwc.disable_callbacks() } -} - -\prg_set_conditional:Nnn \__lwc_if_enabled: { T, F, TF } { - \lua_now:n { lwc.if_lwc_enabled() } +\prg_new_conditional:Nnn \__lwc_if_enabled: { T, F, TF } { + \__lwc_if_enabled: \prg_return_true: \else \prg_return_false: @@ -230,8 +220,12 @@ disable .value_forbidden:n = true, debug .choice:, - debug / true .code:n = \lua_now:n { lwc.debug = true }, - debug / false .code:n = \lua_now:n { lwc.debug = false }, + debug / true .code:n = \__lwc_debug:n { true }, + debug / false .code:n = \__lwc_debug:n { false }, + + nobreak .code:n = \__lwc_nobreak:n { #1 }, + nobreak .value_required:n = true, + nobreak .initial:n = keep, strict .meta:n = { emergencystretch = 0pt, max-cost = 5000, diff --git a/macros/luatex/generic/lua-widow-control/lua-widow-control.tex b/macros/luatex/generic/lua-widow-control/lua-widow-control.tex index b667d05c11..78385ad698 100644 --- a/macros/luatex/generic/lua-widow-control/lua-widow-control.tex +++ b/macros/luatex/generic/lua-widow-control/lua-widow-control.tex @@ -3,7 +3,7 @@ % SPDX-License-Identifier: MPL-2.0+ % SPDX-FileCopyrightText: 2022 Max Chernoff -\wlog{lua-widow-control v2.0.6} %%version +\wlog{lua-widow-control v2.1.0} %%version \ifx\directlua\undefined \errmessage{% @@ -35,13 +35,8 @@ \expandglyphsinfont\the\font 20 20 5 \adjustspacing=2 -% Define \TeX{} wrappers for Lua functions -\def\lwcenable{\directlua{lwc.enable_callbacks()}} -\def\lwcdisable{\directlua{lwc.disable_callbacks()}} -\def\iflwc{\directlua{lwc.if_lwc_enabled()}} - % Enable \lwc/ by default when the package is loaded. -\lwcenable +\lwc@enable % Expansion of some parts of the document, such as section headings, is quite % undesirable, so we'll disable \lwc/ for certain commands. @@ -50,15 +45,15 @@ \newcount\lwc@disable@count \def\lwc@patch@pre{% - \iflwc% + \lwc@if@enabled% \advance\lwc@disable@count by 1% - \lwcdisable% + \lwc@disable% \fi% } \def\lwc@patch@post{ \ifnum\lwc@disable@count>0% - \lwcenable% + \lwc@enable% \advance\lwc@disable@count by -1% \fi } @@ -89,6 +84,13 @@ \lwcdisablecmd{\beginsection} % Sectioning \endgroup +% Make the commands public +\let\lwcenable=\lwc@enable +\let\lwcdisable=\lwc@disable +\let\lwcdebug=\lwc@debug +\let\iflwc=\lwc@if@enabled +\let\lwcnobreak=\lwc@nobreak + \catcode`@=12 \endinput diff --git a/macros/luatex/generic/lua-widow-control/lwc-documentation.tex b/macros/luatex/generic/lua-widow-control/lwc-documentation.tex index 7f05a344f0..23b13c0250 100644 --- a/macros/luatex/generic/lua-widow-control/lwc-documentation.tex +++ b/macros/luatex/generic/lua-widow-control/lwc-documentation.tex @@ -5,7 +5,10 @@ % SPDX-License-Identifier: MPL-2.0+ OR CC-BY-SA-4.0+ % SPDX-FileCopyrightText: 2022 Max Chernoff -% Warning: Compiles slowly +\doifnot{\contextmark}{LMTX}{ + \errhelp{LMTX/MkXL is required to compile this file.} + \errmessage{Fatal error, exiting.} +} \environment lwc-documentation @@ -37,7 +40,7 @@ \startdocument[ title=lua-widow-control, author=Max Chernoff, - version=2.0.6, %%version + version=2.1.0, %%version github=https://github.com/gucci-on-fleek/lua-widow-control, ctan=https://www.ctan.org/pkg/lua-widow-control, ] @@ -316,7 +319,7 @@ Note that the \LaTeX{} option does not \emph{append} commands to the disable lis \startTABLE \NC \plainop/ - \NC \inlineTEX{\lwcdisablecmd{$\meta{\backslash macro}$}} + \NC \inlineTEX{\lwcdisablecmd $\meta{\backslash macro}$} \NC\NR \NC \LaTeX{} \NC \inlineTEX{\lwcsetup{disablecmds = {$\meta{macronameone}$, $\meta{macronametwo}$}}} @@ -363,7 +366,7 @@ When \lwc/ encounters an orphan, it removes it by removing the orphaned line to \startTABLE \NC \plainop/ - \NC\inlineTEX{\directlua{lwc.nobreak_behaviour = "$\meta{value}$"}} + \NC\inlineTEX{\lwcnobreak{$\meta{value}$}} \NC\NR \NC \LaTeX{} \NC\inlineTEX{\lwcsetup{nobreak = $\meta{value}$}} @@ -409,8 +412,8 @@ Very advanced users may also set a custom cost function by redefining the \inlin \startTABLE \NC \plainop/ - \NC\inlineTEX{\directlua{lwc.debug = true}} - \NC\NR\NC\NC\inlineTEX{\directlua{lwc.debug = false}} + \NC\inlineTEX{\lwcdebug 1} + \NC\NR\NC\NC\inlineTEX{\lwcdebug 0} \NC\NR \NC \LaTeX{} \NC\inlineTEX{\lwcsetup{debug = true}} diff --git a/macros/luatex/generic/lua-widow-control/t-lua-widow-control.mkiv b/macros/luatex/generic/lua-widow-control/t-lua-widow-control.mkiv index 1e52f8d901..090ff5aa80 100644 --- a/macros/luatex/generic/lua-widow-control/t-lua-widow-control.mkiv +++ b/macros/luatex/generic/lua-widow-control/t-lua-widow-control.mkiv @@ -1,10 +1,10 @@ %D \module %D [ file=t-lua-widow-control, -%D version=2.0.6, %%version +%D version=2.1.0, %%version %D title=lua-widow-control, %D subtitle=\ConTeXt module for lua-widow-control, %D author=Max Chernoff, -%D date=2022-04-23, %%dashdate +%D date=2022-05-14, %%dashdate %D copyright=Max Chernoff, %D license=MPL-2.0+, %D url=https://github.com/gucci-on-fleek/lua-widow-control] @@ -16,39 +16,36 @@ \installcommandhandler \????lwc {lwc} \????lwc \newdimen\lwc_emergency_stretch +\newcount\lwc_max_cost \appendtoks \lwc_emergency_stretch=\lwcparameter{emergencystretch} -\to\everysetuplwc -\appendtoks \doifelse{\lwcparameter{\c!state}}\v!start{ - \ctxlua{lwc.enable_callbacks()} + \lwc_enable }{ - \ctxlua{lwc.disable_callbacks()} + \lwc_disable } -\to\everysetuplwc -\appendtoks - \doifelse{\lwcparameter{debug}}\v!start{ - \ctxlua{lwc.debug = true} - }{ - \ctxlua{lwc.debug = false} - } -\to\everysetuplwc + \lwc_debug{\lwcparameter{debug}} -\appendtoks - \ctxlua{lwc.nobreak_behaviour = "\lwcparameter{nobreak}"} -\to\everysetuplwc + \lwc_nobreak{\lwcparameter{nobreak}} -\newcount\lwc_max_cost -\appendtoks \lwc_max_cost=\lwcparameter{maxcost} -\to\everysetuplwc -\appendtoks % We can't just set the penalties because they will be reset automatically % at \\starttext. \startsetups[*default] + \directsetup{*reset} + + \clubpenalty=\lwcparameter{orphanpenalty} + \widowpenalty=\lwcparameter{widowpenalty} + \displaywidowpenalty=\lwcparameter{widowpenalty} + \brokenpenalty=\lwcparameter{brokenpenalty} + \stopsetups + + \startsetups[grid][*default] + \directsetup{*reset} + \clubpenalty=\lwcparameter{orphanpenalty} \widowpenalty=\lwcparameter{widowpenalty} \displaywidowpenalty=\lwcparameter{widowpenalty} @@ -58,8 +55,6 @@ \setups[*default] \to\everysetuplwc -\define\iflwc{\ctxlua{lwc.if_lwc_enabled()}} - \ctxloadluafile{lua-widow-control} \setuplwc[ @@ -86,14 +81,14 @@ \newcount\lwc_disable_count \define\lwc_patch_pre{% - \iflwc% + \lwc_if_enabled% \advance\lwc_disable_count by 1% \setuplwc[\c!state=\v!stop]% \fi% } \define\lwc_patch_post{ - \ifnum\lwc_disable_count>0% + \ifnum\lwc_disable_count>0\relax% \setuplwc[\c!state=\v!start]% \advance\lwc_disable_count by -1% \fi% @@ -102,5 +97,8 @@ \prependtoks\lwc_patch_pre\to\everybeforesectionheadhandle % Sectioning \prependtoks\lwc_patch_post\to\everyaftersectionheadhandle +% Make the commands public +\let\iflwc=\lwc_if_enabled + \protect \stopmodule diff --git a/macros/luatex/generic/lua-widow-control/t-lua-widow-control.mkxl b/macros/luatex/generic/lua-widow-control/t-lua-widow-control.mkxl index 1e52f8d901..090ff5aa80 100644 --- a/macros/luatex/generic/lua-widow-control/t-lua-widow-control.mkxl +++ b/macros/luatex/generic/lua-widow-control/t-lua-widow-control.mkxl @@ -1,10 +1,10 @@ %D \module %D [ file=t-lua-widow-control, -%D version=2.0.6, %%version +%D version=2.1.0, %%version %D title=lua-widow-control, %D subtitle=\ConTeXt module for lua-widow-control, %D author=Max Chernoff, -%D date=2022-04-23, %%dashdate +%D date=2022-05-14, %%dashdate %D copyright=Max Chernoff, %D license=MPL-2.0+, %D url=https://github.com/gucci-on-fleek/lua-widow-control] @@ -16,39 +16,36 @@ \installcommandhandler \????lwc {lwc} \????lwc \newdimen\lwc_emergency_stretch +\newcount\lwc_max_cost \appendtoks \lwc_emergency_stretch=\lwcparameter{emergencystretch} -\to\everysetuplwc -\appendtoks \doifelse{\lwcparameter{\c!state}}\v!start{ - \ctxlua{lwc.enable_callbacks()} + \lwc_enable }{ - \ctxlua{lwc.disable_callbacks()} + \lwc_disable } -\to\everysetuplwc -\appendtoks - \doifelse{\lwcparameter{debug}}\v!start{ - \ctxlua{lwc.debug = true} - }{ - \ctxlua{lwc.debug = false} - } -\to\everysetuplwc + \lwc_debug{\lwcparameter{debug}} -\appendtoks - \ctxlua{lwc.nobreak_behaviour = "\lwcparameter{nobreak}"} -\to\everysetuplwc + \lwc_nobreak{\lwcparameter{nobreak}} -\newcount\lwc_max_cost -\appendtoks \lwc_max_cost=\lwcparameter{maxcost} -\to\everysetuplwc -\appendtoks % We can't just set the penalties because they will be reset automatically % at \\starttext. \startsetups[*default] + \directsetup{*reset} + + \clubpenalty=\lwcparameter{orphanpenalty} + \widowpenalty=\lwcparameter{widowpenalty} + \displaywidowpenalty=\lwcparameter{widowpenalty} + \brokenpenalty=\lwcparameter{brokenpenalty} + \stopsetups + + \startsetups[grid][*default] + \directsetup{*reset} + \clubpenalty=\lwcparameter{orphanpenalty} \widowpenalty=\lwcparameter{widowpenalty} \displaywidowpenalty=\lwcparameter{widowpenalty} @@ -58,8 +55,6 @@ \setups[*default] \to\everysetuplwc -\define\iflwc{\ctxlua{lwc.if_lwc_enabled()}} - \ctxloadluafile{lua-widow-control} \setuplwc[ @@ -86,14 +81,14 @@ \newcount\lwc_disable_count \define\lwc_patch_pre{% - \iflwc% + \lwc_if_enabled% \advance\lwc_disable_count by 1% \setuplwc[\c!state=\v!stop]% \fi% } \define\lwc_patch_post{ - \ifnum\lwc_disable_count>0% + \ifnum\lwc_disable_count>0\relax% \setuplwc[\c!state=\v!start]% \advance\lwc_disable_count by -1% \fi% @@ -102,5 +97,8 @@ \prependtoks\lwc_patch_pre\to\everybeforesectionheadhandle % Sectioning \prependtoks\lwc_patch_post\to\everyaftersectionheadhandle +% Make the commands public +\let\iflwc=\lwc_if_enabled + \protect \stopmodule diff --git a/systems/texlive/tlnet/tlpkg/installer/ctan-mirrors.pl b/systems/texlive/tlnet/tlpkg/installer/ctan-mirrors.pl index 2cfa1f9e65..548680ea00 100644 --- a/systems/texlive/tlnet/tlpkg/installer/ctan-mirrors.pl +++ b/systems/texlive/tlnet/tlpkg/installer/ctan-mirrors.pl @@ -38,15 +38,16 @@ $mirrors = { 'http://ctan.yazd.ac.ir/' => 1, 'https://ctan.asis.ai/' => 1, 'https://ctan.um.ac.ir/' => 1, + 'https://mirror.bardia.tech/ctan/' => 1, }, 'Japan' => { 'http://ring.airnet.ne.jp/archives/text/CTAN/' => 1, - 'https://ftp.jaist.ac.jp/pub/CTAN/' => 1, 'https://ftp.kddilabs.jp/CTAN/' => 1, 'https://ftp.yz.yamagata-u.ac.jp/pub/CTAN/' => 1, }, 'Korea' => { 'http://ftp.ktug.org/tex-archive/' => 1, + 'https://cran.asia/tex/' => 1, 'https://ftp.harukasan.org/CTAN/' => 1, 'https://ftp.kaist.ac.kr/pub/tex-archive/' => 1, 'https://mirror.kakao.com/CTAN/' => 1, @@ -113,7 +114,6 @@ $mirrors = { 'https://ftp.tu-chemnitz.de/pub/tex/' => 1, 'https://mirror.clientvps.com/CTAN/' => 1, 'https://mirror.dogado.de/tex-archive/' => 1, - 'https://mirror.informatik.hs-fulda.de/tex-archive/' => 1, 'https://mirror.physik.tu-berlin.de/pub/CTAN/' => 1, 'https://packages.oth-regensburg.de/ctan/' => 1, }, diff --git a/systems/texlive/tlnet/tlpkg/texlive.tlpdb b/systems/texlive/tlnet/tlpkg/texlive.tlpdb index c8715aff8e..07692b413e 100644 --- a/systems/texlive/tlnet/tlpkg/texlive.tlpdb +++ b/systems/texlive/tlnet/tlpkg/texlive.tlpdb @@ -26,7 +26,7 @@ depend container_split_src_files/1 depend frozen/0 depend minrelease/2016 depend release/2022 -depend revision/63292 +depend revision/63302 name 00texlive.image category TLCore @@ -4567,7 +4567,7 @@ depend setting_available_architectures:aarch64-linux amd64-freebsd amd64-netbsd name 00texlive.installer category TLCore -revision 63288 +revision 63294 shortdesc TeX Live standalone installer package longdesc This package defines the files to go into the installer longdesc archives (install-tl-unx.tar.gz, install-tl.zip) built by the @@ -82083,7 +82083,7 @@ catalogue-topics multilingual maths maths-theorem expl3 name crefthe category Package -revision 63133 +revision 63296 shortdesc Cross referencing with proper definite articles relocated 1 longdesc By default, when using cleveref's \cref to reference @@ -82093,10 +82093,10 @@ longdesc Spanish, etc. this results in incorrect grammar. 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This package aims to provide intuitive LaTeX2 functional -longdesc interfaces for it. Although there are functions in LaTeX3, the +longdesc This package provides an intuitive functional programming +longdesc interface for LaTeX2, which is an alternative choice to expl3 +longdesc or LuaTeX, if you want to do programming in LaTeX. Although +longdesc there are functions in LaTeX3 programming layer (expl3), the longdesc evaluation of them is from outside to inside. With this longdesc package, the evaluation of functions is from inside to outside, -longdesc which is the same as for other programming languages such as -longdesc JavaScript or Lua. 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RELOC/source/latex/hyperref/doc/hyperref-doc.tex RELOC/source/latex/hyperref/doc/paperslides99.zip RELOC/source/latex/hyperref/hluatex.dtx + RELOC/source/latex/hyperref/hyperref-linktarget.dtx RELOC/source/latex/hyperref/hyperref-patches.dtx RELOC/source/latex/hyperref/hyperref.dtx RELOC/source/latex/hyperref/hyperref.ins RELOC/source/latex/hyperref/nameref.dtx -runfiles size=202 +runfiles size=204 RELOC/tex/latex/hyperref/backref.sty RELOC/tex/latex/hyperref/hdvipdfm.def RELOC/tex/latex/hyperref/hdvips.def @@ -141479,7 +141480,7 @@ catalogue-contact-home https://github.com/latex3/hyperref catalogue-ctan /macros/latex/contrib/hyperref catalogue-license lppl1.3 catalogue-topics hyper pdf-feat adobe-distiller form-fillin etex -catalogue-version 7.00n +catalogue-version 7.00o name hyperxmp category Package @@ -188465,7 +188466,7 @@ catalogue-version 0.8 name lua-widow-control category Package -revision 63125 +revision 63302 shortdesc Automatically remove widows and orphans from any document relocated 1 longdesc Unmodified TeX has very few ways of preventing widows and @@ -188484,23 +188485,23 @@ longdesc orphans. 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Currently, this server-mode longdesc supports Julia, MatLab, Python, and R. More languages will be longdesc added. For more details and usage examples, refer to the longdesc package's github repository. -containersize 3968 -containerchecksum 05e0a95f3b0564c0f1bb73aca63c976ba85adff9228133cd26261a476b789edb2522b4718b8cccbea270eeeea312eb90221cdc0d0f0e5bf405b9370eeaac06e6 -doccontainersize 185004 -doccontainerchecksum d0cc7e1a92defc8aa6eabe24bdf10289646fbf7ac0832a89502d63df443ba4c4f9e8d1fbb37a8b59d917bc519ebb9a2237f5f64ab203210a23adfb9c057669b5 -docfiles size=50 +containersize 3916 +containerchecksum b04e9157f11ad636fbc958e3d161215ced2a827566adc58d70eff8cd6132934be029bebeae7b77bb8fd99b1003d026788cfdddc1de169e3383444fd940707c9f +doccontainersize 54836 +doccontainerchecksum fb4ec1a49aa7c0cf81577b215a2084cca36142cda6b8c16451347dc6d76ad5adc5d71dcbe932c1f70c365a0fdbb5399722d0c06b4cd3c8e32c8cde01ec6aa73e +docfiles size=18 RELOC/doc/latex/runcode/README details="Readme" RELOC/doc/latex/runcode/runcode.pdf details="Package documentation" RELOC/doc/latex/runcode/runcode.tex @@ -270123,7 +270124,7 @@ catalogue-contact-repository https://github.com/Ossifragus/runcode catalogue-ctan /macros/latex/contrib/runcode catalogue-license lppl1.3c catalogue-topics exec-foreign callback -catalogue-version 1.2 +catalogue-version 1.3 name russ category Package @@ -303985,7 +303986,7 @@ docfiles size=376 name texlive-scripts category TLCore -revision 63288 +revision 63294 shortdesc TeX Live infrastructure programs longdesc Includes install-tl, tl-portable, rungs, etc.; not needed for longdesc tlmgr to run but still ours. Not included in tlcritical. @@ -303993,10 +303994,10 @@ depend texlive-scripts.ARCH depend texlive.infra execute addMap mathpple.map postaction shortcut type=menu name="TeX Live command-line" cmd=TEXDIR/tlpkg/installer/tl-cmd.bat -containersize 109732 -containerchecksum be9b0f8e9e4ee890e8496bf21f44e67af900ba7ecc4637e51855a5996807918aaa7331f7b6dafa50ec9b138a80f69cc09039b88002197a85d992019bd4afb510 -doccontainersize 406332 -doccontainerchecksum fed02102e78ff069e7df5634a5d7f236067a8535cd2afd83b8ebe5286e1758faf74c491cbd8ba48bbe8d89c4aac229171addd0123b136da24a990a03d794783f +containersize 109724 +containerchecksum be33ff14f98f3313f28d3c7306d55a14072cc683aa3f57b77bfbe2da4a59b2e4dea7efe0ff152854af1f295d9e4beb754ae7bb4e121514f0e457c1164f0f39a2 +doccontainersize 406308 +doccontainerchecksum b803c02e4adafba793111dfc545f8fed70ec994ff72722b8792313fb5368dc29a9d7b732b576cc9eb7a9bca49818c4f483ba2bae734d621f0243f12898218627 docfiles size=505 doc.html texmf-dist/doc/man/man1/fmtutil-sys.1 diff --git a/systems/texlive/tlnet/tlpkg/texlive.tlpdb.md5 b/systems/texlive/tlnet/tlpkg/texlive.tlpdb.md5 index 89616942dc..fc50962488 100644 --- a/systems/texlive/tlnet/tlpkg/texlive.tlpdb.md5 +++ b/systems/texlive/tlnet/tlpkg/texlive.tlpdb.md5 @@ -1 +1 @@ -08b8a28d5168f539824fc0a676a96c53 texlive.tlpdb +02445cc5937c0dad66c28ee5ee263977 texlive.tlpdb diff --git a/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512 b/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512 index 53869f59b1..71507d0786 100644 --- a/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512 +++ b/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512 @@ -1 +1 @@ -3ee0882f9428aa3942cd5a264c428deb2d734e9d368145c1f0f387cf34081fcb92265a588544f201af1b833c0858fa67bf317aeb85a7645c1e1009489c26b964 texlive.tlpdb +31b09591344034b3380202d3d478dd9ee3a2d48752b073238c160fcbe7c78a1b5fabb98afc2b08959b0a5919fe004b73159bbd18916c837fe24a51a81d8a7861 texlive.tlpdb diff --git a/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512.asc b/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512.asc index 0301fef34c..f05581debb 100644 --- a/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512.asc +++ b/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512.asc @@ -1,10 +1,10 @@ -----BEGIN PGP SIGNATURE----- -iQEcBAEBCgAGBQJifu+HAAoJEEzhh34ZQ4xw1RcH/23On/O8Q8cV+Dmq0zm/pSaC -dH3QDh/rrGf7ls6FZhg4j3v+z5sR/qqtNnJFydPPNNqGpJ6BXq57osWNdre5T5L7 -SoN1+5dzKUHlqYT4aujmAIR4t4e7w7+KItVYPe+3SoH8W0d7mURtJdW/N82hm/oO -/e1a/xUK4SWbfogslhZkYcVbXbR+oQNAmi9dG9FRit54Z498AS2Q+I4ZoBnmQL2T -V3fBa7/U59XS6UkOcmX1SNlm3u7wvRN/qve6vqp6RD9pFvN7H3I611h5p8SOLUck -KSG3NXtgQfSJ6w8KyUDpj2OBiED3NltPK5bIod7decHr3Ea46Re4hn+PeyFZZyk= -=+m24 +iQEcBAEBCgAGBQJigEEgAAoJEEzhh34ZQ4xwjcQIAJTRFQi7gY5PEfzKuHlUriN3 +bfL6b8bokDFwIa0ZiVNM/5P4ltU9QjmDs6Fu7dAELEHEuA8H/IUgKLAlfHshYbOV +CiCnEUEdmy+gOmUex/hvAnSBhUsmGW/tNh3SQQ2YtUm32EjfwRnTxZNVnnjKFxQ6 +fB9KGZD4AneLk5nq8obZQXOUAS50MJgznzgqANryzOdgNlojZy2YaFqBy12b0xHm +aadUN7u32HGHPCMZXcjcEVtDARnRKprMT9+HyyWjAnRGyPdOC8gWamBEsV0ERXr9 +IWJlERAGbryyFkeKblubJQK/kVwJdK9CTSAapT/fZAEyTZvCAkDwUv7ZgrupZQA= +=Chm/ -----END PGP SIGNATURE----- diff --git a/systems/texlive/tlnet/tlpkg/texlive.tlpdb.xz b/systems/texlive/tlnet/tlpkg/texlive.tlpdb.xz index a558e57c6d..e5db0414c6 100644 Binary files a/systems/texlive/tlnet/tlpkg/texlive.tlpdb.xz and b/systems/texlive/tlnet/tlpkg/texlive.tlpdb.xz differ diff --git a/systems/win32/miktex/tm/packages/next/pr.ini b/systems/win32/miktex/tm/packages/next/pr.ini index 66d317807a..5e6bedef8f 100644 --- a/systems/win32/miktex/tm/packages/next/pr.ini +++ b/systems/win32/miktex/tm/packages/next/pr.ini @@ -1,13 +1,13 @@ [repository] -date=1652473108 +date=1652559469 lastupd=miktex-arctrl-bin-2.9 miktex-arctrl-bin-x64-2.9 miktex-asymptote-bin-2.9 miktex-asymptote-bin-x64-2.9 miktex-autosp-bin-2.9 miktex-autosp-bin-x64-2.9 miktex-axohelp-bin-2.9 miktex-axohelp-bin-x64-2.9 miktex-bibarts-bin-2.9 miktex-bibarts-bin-x64-2.9 miktex-bibtex-bin-2.9 miktex-bibtex-bin-x64-2.9 miktex-bibtex8bit-bin-2.9 miktex-bibtex8bit-bin-x64-2.9 miktex-bzip2-bin-2.9 miktex-bzip2-bin-x64-2.9 miktex-cairo-bin-2.9 miktex-cairo-bin-x64-2.9 miktex-chktex-bin-2.9 miktex-chktex-bin-x64-2.9 -lstdigest=6054a4d1032586973cc93d0d7b0b3a20 +lstdigest=0f7dabae017f31c1d9dca49c17d0d264 numpkg=5582 relstate=next -version=8168 +version=8169 ;;;;This configuration file is signed by a MiKTeX maintainer. 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