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authorNorbert Preining <norbert@preining.info>2024-03-27 03:02:20 +0000
committerNorbert Preining <norbert@preining.info>2024-03-27 03:02:20 +0000
commit31fa8cd73bab8480d38dae3a89ca578f337d6bbd (patch)
treeba550e99e0cb15dbf5405369d536b12b051c5155
parent904f56f2c26edc7eb11d5a27579bccbeca29c618 (diff)
CTAN sync 202403270302
-rw-r--r--FILES.byname959
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-rw-r--r--FILES.last07days548
-rw-r--r--biblio/ctan-bibdata/ctan.bib47
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-rw-r--r--fonts/parsimatn/README.md2
-rw-r--r--fonts/parsimatn/parsimatn-example-of-use.pdfbin92436 -> 92505 bytes
-rw-r--r--fonts/parsimatn/parsimatn-example-of-use.tex4
-rw-r--r--fonts/parsinevis/ParsiNevis-Bold.ttfbin98068 -> 98056 bytes
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-rw-r--r--macros/latex/contrib/pdfmanagement-testphase/l3backend-testphase.dtx22
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-rw-r--r--macros/latex/contrib/pdfmanagement-testphase/l3pdfmanagement.dtx4
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-rw-r--r--macros/latex/contrib/pdfmanagement-testphase/l3pdfmeta.dtx90
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-rw-r--r--macros/latex/contrib/pdfmanagement-testphase/l3pdftools.dtx4
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-rw-r--r--macros/latex/contrib/pdfmanagement-testphase/l3pdfxform.dtx4
-rw-r--r--macros/latex/contrib/pdfmanagement-testphase/l3pdfxform.pdfbin427764 -> 427833 bytes
-rw-r--r--macros/latex/contrib/pdfmanagement-testphase/ltdocinit.dtx4
-rw-r--r--macros/latex/contrib/pdfmanagement-testphase/ltdocinit.pdfbin587555 -> 587633 bytes
-rw-r--r--macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-firstaid.dtx126
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-rw-r--r--macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-testphase.dtx6
-rw-r--r--macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-testphase.pdfbin464420 -> 464489 bytes
-rw-r--r--macros/latex/contrib/pdfmanagement-testphase/xcolor-patches-tmp-ltx.sty2
-rw-r--r--macros/latex/contrib/tagpdf/README.md4
-rw-r--r--macros/latex/contrib/tagpdf/ex-AF-file.pdf118
-rw-r--r--macros/latex/contrib/tagpdf/ex-alt-actualtext.pdfbin34295 -> 34295 bytes
-rw-r--r--macros/latex/contrib/tagpdf/ex-attribute.pdf71
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-rw-r--r--macros/latex/contrib/tagpdf/ex-list.pdf159
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-rw-r--r--macros/latex/contrib/tagpdf/tagpdf-code.pdfbin1626709 -> 1688215 bytes
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-rw-r--r--macros/latex/contrib/tagpdf/tagpdf-mc-generic.dtx6
-rw-r--r--macros/latex/contrib/tagpdf/tagpdf-mc-luacode.dtx6
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-rw-r--r--macros/latex/contrib/tagpdf/tagpdf-struct.dtx100
-rw-r--r--macros/latex/contrib/tagpdf/tagpdf-tree.dtx64
-rw-r--r--macros/latex/contrib/tagpdf/tagpdf-user.dtx17
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-rw-r--r--macros/latex/contrib/tagpdf/tagpdf.pdfbin1158244 -> 1169481 bytes
-rw-r--r--macros/latex/contrib/tagpdf/tagpdf.tex26
-rw-r--r--macros/latex/contrib/tagpdf/tagpdfdocu-patches.sty14
-rw-r--r--macros/latex/contrib/tagpdf/tagpdfsetup-keys.tex4
-rw-r--r--macros/latex/contrib/thmlist/doc/thmlist.pdfbin232074 -> 245805 bytes
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-rw-r--r--macros/latex/contrib/tkz/tkz-elements/README.md19
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-circle.tex120
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-ellipse.tex229
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-line.tex261
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-matrices.tex1013
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-misc.tex80
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-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-point.tex195
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-quadrilateral.tex12
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-rectangle.tex22
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-regular.tex8
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-square.tex12
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-triangle.tex332
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-vectors.tex167
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes.tex18
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-convention.tex32
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-examples.tex1072
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-indepthstudy.tex182
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-intersection.tex16
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-main.tex127
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-organization.tex25
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-presentation.tex38
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-structure.tex10
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-transfers.tex152
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-why.tex89
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/doc/tkz-elements.pdfbin656453 -> 696762 bytes
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz-elements.sty32
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_circle.lua13
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_class.lua4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_ellipse.lua28
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_circles.lua8
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_intersections.lua4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_lines.lua16
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_maths.lua186
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_matrices.lua374
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_points.lua4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_regular.lua4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_triangles.lua22
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_line.lua27
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_main.lua8
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_matrices.lua219
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_misc.lua4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_parallelogram.lua4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_point.lua130
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_quadrilateral.lua4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_rectangle.lua4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_regular.lua4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_square.lua4
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_triangle.lua41
-rw-r--r--macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_vector.lua32
-rw-r--r--macros/unicodetex/latex/bithesis/bithesis.dtx4
-rw-r--r--macros/unicodetex/latex/bithesis/bithesis.pdfbin735910 -> 734850 bytes
-rw-r--r--systems/texlive/tlnet/tlpkg/installer/ctan-mirrors.pl3
-rw-r--r--systems/texlive/tlnet/tlpkg/texlive.tlpdb519
-rw-r--r--systems/texlive/tlnet/tlpkg/texlive.tlpdb.md52
-rw-r--r--systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha5122
-rw-r--r--systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512.asc16
-rw-r--r--systems/texlive/tlnet/tlpkg/texlive.tlpdb.xzbin2562620 -> 2561304 bytes
-rw-r--r--systems/win32/miktex/tm/packages/files.csv.lzmabin813243 -> 813701 bytes
-rw-r--r--systems/win32/miktex/tm/packages/next/files.csv.lzmabin813402 -> 814205 bytes
-rw-r--r--systems/win32/miktex/tm/packages/next/pr.ini10
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-rw-r--r--timestamp2
161 files changed, 6076 insertions, 3124 deletions
diff --git a/FILES.byname b/FILES.byname
index 77895d9562..a4e18779a3 100644
--- a/FILES.byname
+++ b/FILES.byname
@@ -2081,12 +2081,12 @@
2024/03/12 | 1837 | biblio/citation-style-language/README.md
2024/03/12 | 12878 | biblio/citation-style-language/vancouver.csl
2024/03/12 | 4553440 | biblio/citation-style-language.zip
-2024/03/25 | 1678 | biblio/ctan-bibdata/biblatex-ctan/ctan.bbx
+2024/03/26 | 1678 | biblio/ctan-bibdata/biblatex-ctan/ctan.bbx
2022/10/08 | 127 | biblio/ctan-bibdata/biblatex-ctan/ctan.cbx
-2024/03/25 | 2858084 | biblio/ctan-bibdata/ctan.bib
-2024/03/25 | 3708800 | biblio/ctan-bibdata/ctan.pdf
+2024/03/26 | 2858479 | biblio/ctan-bibdata/ctan.bib
+2024/03/26 | 3708800 | biblio/ctan-bibdata/ctan.pdf
2023/01/16 | 1489 | biblio/ctan-bibdata/README
-2024/03/25 | 4119564 | biblio/ctan-bibdata.zip
+2024/03/26 | 4119646 | biblio/ctan-bibdata.zip
2023/02/23 | 3126 | biblio/pbibtex/pbibtex-base/cpp.awk
2023/02/23 | 1009 | biblio/pbibtex/pbibtex-base/generate.sh
2023/02/23 | 22362 | biblio/pbibtex/pbibtex-base/jabbrv.bst
@@ -5448,7 +5448,7 @@
1990/10/02 | 5440 | dviware/vutex/vaxvms.hlp
1990/10/02 | 812 | dviware/vutex/vaxvms.ins
1990/10/02 | 127576 | dviware/vutex/vutex.web
-2024/03/25 | 108756 | FILES.last07days
+2024/03/26 | 258613 | FILES.last07days
2021/07/24 | 1139410 | fonts/aboensis/Aboensis.glyphs
2021/07/24 | 18907382 | fonts/aboensis/aboensis.pdf
2021/07/24 | 137860 | fonts/aboensis/Aboensis-Regular.otf
@@ -116400,24 +116400,24 @@
2014/09/13 | 690388 | fonts/parisa/source/parisa-regular.sfd
2014/09/13 | 1618746 | fonts/parisa/source/parisa-shadow.sfd
2014/09/13 | 5749842 | fonts/parisa.zip
-2023/09/13 | 4497 | fonts/parsimatn/OFL.txt
-2023/12/11 | 268672 | fonts/parsimatn/ParsiMatn-BoldItalic.ttf
-2023/12/11 | 259944 | fonts/parsimatn/ParsiMatn-Bold.ttf
-2023/12/11 | 92436 | fonts/parsimatn/parsimatn-example-of-use.pdf
-2023/12/11 | 10891 | fonts/parsimatn/parsimatn-example-of-use.tex
-2023/12/11 | 290892 | fonts/parsimatn/ParsiMatn-Italic.ttf
-2023/12/11 | 280908 | fonts/parsimatn/ParsiMatn-Regular.ttf
-2023/12/11 | 765 | fonts/parsimatn/README.md
-2023/12/11 | 695176 | fonts/parsimatn.zip
-2023/09/08 | 4498 | fonts/parsinevis/OFL.txt
-2023/09/29 | 101716 | fonts/parsinevis/ParsiNevis-BoldItalic.ttf
-2023/09/29 | 98068 | fonts/parsinevis/ParsiNevis-Bold.ttf
-2023/09/29 | 100724 | fonts/parsinevis/ParsiNevis-Italic.ttf
-2023/09/29 | 97108 | fonts/parsinevis/ParsiNevis-Regular.ttf
-2023/09/29 | 102195 | fonts/parsinevis/parsinevis-sample.pdf
-2023/09/29 | 9558 | fonts/parsinevis/parsinevis-sample.tex
-2023/09/29 | 673 | fonts/parsinevis/README.md
-2023/09/29 | 320923 | fonts/parsinevis.zip
+2024/03/26 | 4497 | fonts/parsimatn/OFL.txt
+2024/03/26 | 268664 | fonts/parsimatn/ParsiMatn-BoldItalic.ttf
+2024/03/26 | 259940 | fonts/parsimatn/ParsiMatn-Bold.ttf
+2024/03/26 | 92505 | fonts/parsimatn/parsimatn-example-of-use.pdf
+2024/03/26 | 10887 | fonts/parsimatn/parsimatn-example-of-use.tex
+2024/03/26 | 290888 | fonts/parsimatn/ParsiMatn-Italic.ttf
+2024/03/26 | 280896 | fonts/parsimatn/ParsiMatn-Regular.ttf
+2024/03/26 | 762 | fonts/parsimatn/README.md
+2024/03/26 | 695217 | fonts/parsimatn.zip
+2024/03/26 | 4498 | fonts/parsinevis/OFL.txt
+2024/03/26 | 101708 | fonts/parsinevis/ParsiNevis-BoldItalic.ttf
+2024/03/26 | 98056 | fonts/parsinevis/ParsiNevis-Bold.ttf
+2024/03/26 | 100712 | fonts/parsinevis/ParsiNevis-Italic.ttf
+2024/03/26 | 97096 | fonts/parsinevis/ParsiNevis-Regular.ttf
+2024/03/26 | 101788 | fonts/parsinevis/parsinevis-sample.pdf
+2024/03/26 | 9558 | fonts/parsinevis/parsinevis-sample.tex
+2024/03/26 | 669 | fonts/parsinevis/README.md
+2024/03/26 | 320496 | fonts/parsinevis.zip
2011/01/07 | 740 | fonts/pcarl/pcarl.bib
2011/01/11 | 13268 | fonts/pcarl/pcarl.dtx
2011/01/07 | 1888 | fonts/pcarl/pcarl.ins
@@ -241785,15 +241785,15 @@
2003/08/16 | 7663 | macros/latex/contrib/listofsymbols/listofsymbols.sty
2003/08/12 | 1279 | macros/latex/contrib/listofsymbols/README
2009/11/22 | 60068 | macros/latex/contrib/listofsymbols.zip
-2024/03/18 | 8727 | macros/latex/contrib/litebook/doc/cha/cha1.tex
-2024/03/16 | 53 | macros/latex/contrib/litebook/doc/cha/scha.tex
-2024/02/04 | 94115 | macros/latex/contrib/litebook/doc/figures/cover.jpeg
-2024/03/18 | 690409 | macros/latex/contrib/litebook/doc/litebook.pdf
-2024/03/18 | 558 | macros/latex/contrib/litebook/doc/litebook.tex
-2024/03/09 | 19101 | macros/latex/contrib/litebook/License
-2024/03/09 | 547 | macros/latex/contrib/litebook/README.md
-2024/03/18 | 9346 | macros/latex/contrib/litebook/tex/litebook.cls
-2024/03/18 | 793943 | macros/latex/contrib/litebook.zip
+2024/03/26 | 6044 | macros/latex/contrib/litebook/doc/cha/cha1.tex
+2024/03/26 | 2832 | macros/latex/contrib/litebook/doc/cha/cha2.tex
+2024/03/26 | 94115 | macros/latex/contrib/litebook/doc/figures/cover.jpeg
+2024/03/26 | 687268 | macros/latex/contrib/litebook/doc/litebook.pdf
+2024/03/26 | 1012 | macros/latex/contrib/litebook/doc/litebook.tex
+2024/03/26 | 19101 | macros/latex/contrib/litebook/License
+2024/03/26 | 547 | macros/latex/contrib/litebook/README.md
+2024/03/26 | 8073 | macros/latex/contrib/litebook/tex/litebook.cls
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2024/03/10 | 94115 | macros/latex/contrib/litesolution/doc/Beautiful-realities.jpeg
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2024/03/25 | 56013 | macros/latex/contrib/proflycee/tex/proflycee-tools-arithm.tex
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2024/03/25 | 127 | biblio/biber/biber-linux-musl/README
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2024/03/24 | 9902 | macros/latex/contrib/profcollege/latex/PfCDecDeci.tex
@@ -120,7 +574,6 @@
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2024/03/24 | 7569 | macros/latex/contrib/profcollege/latex/PfCRepresenterTableur.tex
@@ -128,8 +581,6 @@
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2024/03/24 | 725 | support/texlab/crates/hover/src/package.rs
2024/03/24 | 7244 | macros/latex/contrib/profcollege/latex/PfCFrise.tex
@@ -309,7 +760,6 @@
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2024/03/24 | 380190 | support/texlab/images/demo.gif
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2024/03/24 | 376 | support/texlab/crates/parser/Cargo.toml
2024/03/24 | 3765 | macros/latex/contrib/profcollege/latex/PfCEnquete.tex
2024/03/24 | 3659 | support/texlab/crates/parser/src/config.rs
@@ -339,7 +789,6 @@
2024/03/24 | 336 | support/texlab/crates/references/Cargo.toml
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2024/03/24 | 330 | support/texlab/crates/test-utils/Cargo.toml
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2024/03/24 | 3279 | macros/latex/contrib/biblatex-contrib/biblatex-ext/ext-authornumber-tcomp.cbx
@@ -373,7 +822,6 @@
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2024/03/24 | 2652 | support/texlab/crates/diagnostics/src/grammar/bib.rs
2024/03/24 | 264 | support/texlab/crates/links/src/lib.rs
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2024/03/24 | 262163 | macros/luatex/latex/piton/piton.dtx
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@@ -381,7 +829,6 @@
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2024/03/24 | 2586 | support/texlab/texlab.tex
@@ -402,7 +849,6 @@
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2024/03/24 | 233 | support/texlab/crates/line-index/Cargo.toml
2024/03/24 | 2322 | macros/latex/contrib/profcollege/latex/PfCKakuro.tex
2024/03/24 | 23214 | macros/latex/contrib/profcollege/latex/ProfCollege.sty
@@ -435,7 +881,6 @@
2024/03/24 | 1976 | macros/latex/contrib/biblatex-contrib/biblatex-ext/ext-authornumber-terse.cbx
2024/03/24 | 1974 | support/texlab/crates/symbols/src/document/bib.rs
2024/03/24 | 196 | support/texlab/crates/bibtex-utils/src/field.rs
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2024/03/24 | 19160 | macros/latex/contrib/profcollege/latex/PfCPattern.tex
2024/03/24 | 19106 | macros/latex/contrib/multifootnote/LICENSE
2024/03/24 | 1856 | macros/latex/contrib/profcollege/latex/PfCMotsEmpiles.tex
@@ -511,7 +956,6 @@
2024/03/24 | 128 | support/texlab/crates/syntax/src/latexmkrc.rs
2024/03/24 | 1287 | support/texlab/crates/distro/src/language.rs
2024/03/24 | 1287 | macros/latex/contrib/profcollege/latex/PfCPyraVoca.tex
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2024/03/24 | 1285 | macros/latex/contrib/biblatex-contrib/biblatex-ext/biblatex-ext-examples.bib
2024/03/24 | 1266 | support/texlab/crates/base-db/src/semantics/auxiliary.rs
2024/03/24 | 1261 | support/texlab/crates/hover/src/citation.rs
@@ -2826,7 +3270,6 @@
2024/03/21 | 5780 | macros/latex/contrib/biblatex/doc/examples/52-style-authoryear-comp.tex
2024/03/21 | 571 | macros/latex/contrib/biblatex/latex/lbx/naustrian.lbx
2024/03/21 | 5712 | macros/latex/contrib/biblatex/latex/cbx/authortitle-comp.cbx
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2024/03/21 | 533961 | macros/latex/contrib/biblatex/latex/biblatex.sty
2024/03/21 | 520 | macros/latex/contrib/biblatex/latex/lbx/ngerman.lbx
@@ -2847,7 +3290,6 @@
2024/03/21 | 45737 | macros/latex/contrib/biblatex/latex/lbx/lithuanian.lbx
2024/03/21 | 45307 | macros/latex/contrib/biblatex/latex/lbx/bulgarian.lbx
2024/03/21 | 44996 | macros/latex/contrib/biblatex/latex/lbx/ukrainian.lbx
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2024/03/21 | 43887 | macros/latex/contrib/biblatex/latex/lbx/latvian.lbx
2024/03/21 | 4312 | macros/latex/contrib/biblatex/latex/cbx/alphabetic.cbx
2024/03/21 | 426 | macros/latex/contrib/biblatex/doc/examples/97-annotations.bib
@@ -2858,7 +3300,6 @@
2024/03/21 | 39313 | macros/latex/contrib/biblatex/latex/lbx/magyar.lbx
2024/03/21 | 39251 | macros/latex/contrib/biblatex/doc/examples/03-localization-keys.tex
2024/03/21 | 391 | macros/latex/contrib/biblatex/doc/examples/90-related-entries.tex
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2024/03/21 | 3850 | macros/latex/contrib/biblatex/latex/cbx/authortitle-ibid.cbx
2024/03/21 | 3786 | macros/latex/contrib/biblatex/latex/blx-unicode.def
2024/03/21 | 37450 | macros/latex/contrib/biblatex/latex/lbx/finnish.lbx
@@ -2945,12 +3386,10 @@
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2024/03/21 | 244291 | macros/latex/contrib/biblatex/doc/examples/80-style-reading-biber.pdf
2024/03/21 | 2434 | macros/latex/contrib/biblatex/doc/examples/20-indexing-single.tex
-2024/03/21 | 240564 | macros/latex/contrib/thmlist.zip
2024/03/21 | 24027 | macros/latex/contrib/biblatex/doc/examples/94-labelprefix-biber.pdf
2024/03/21 | 2395 | macros/latex/contrib/biblatex/doc/examples/04-delimiters.tex
2024/03/21 | 23900381 | biblio/biber/biber-windows/biber-2.20-MSWIN32.zip
2024/03/21 | 2388 | macros/latex/contrib/biblatex/latex/cbx/debug.cbx
-2024/03/21 | 232074 | macros/latex/contrib/thmlist/doc/thmlist.pdf
2024/03/21 | 225925 | macros/latex/contrib/biblatex/doc/examples/53-style-authoryear-icomp-bibtex.pdf
2024/03/21 | 225925 | macros/latex/contrib/biblatex/doc/examples/53-style-authoryear-icomp-biber.pdf
2024/03/21 | 2257 | macros/latex/contrib/biblatex/latex/cbx/alphabetic-verb.cbx
@@ -2975,7 +3414,6 @@
2024/03/21 | 195323 | macros/latex/contrib/biblatex/doc/examples/64-style-authortitle-terse-bibtex.pdf
2024/03/21 | 195323 | macros/latex/contrib/biblatex/doc/examples/64-style-authortitle-terse-biber.pdf
2024/03/21 | 1942 | macros/latex/contrib/biblatex/doc/examples/16-numeric-prefixed-1.tex
-2024/03/21 | 19101 | macros/latex/contrib/thmlist/License
2024/03/21 | 1876 | macros/latex/contrib/biblatex/doc/examples/11-references-by-section.tex
2024/03/21 | 187356 | macros/latex/contrib/biblatex/doc/examples/21-indexing-multiple-biber.pdf
2024/03/21 | 186808 | macros/latex/contrib/biblatex/doc/examples/31-style-numeric-comp-biber.pdf
@@ -3057,7 +3495,6 @@
2024/03/21 | 1072260 | macros/latex/contrib/biblatex/doc/biblatex.tex
2024/03/21 | 10642 | usergrps/usergrps/labels.pdf
2024/03/21 | 10425 | macros/latex/contrib/biblatex/latex/cbx/numeric-comp.cbx
-2024/03/21 | 1036 | systems/texlive/tlnet/archive/collection-luatex.r70711.tar.xz
2024/03/21 | 102 | macros/latex/contrib/biblatex/latex/bbx/authortitle-ticomp.bbx
2024/03/21 | 102 | macros/latex/contrib/biblatex/doc/examples/93-nameparts.dbx
2024/03/21 | 101 | macros/latex/contrib/biblatex/latex/bbx/authortitle-terse.bbx
@@ -3074,7 +3511,6 @@
2024/03/20 | 710 | macros/latex/contrib/iaria/iaria.ins
2024/03/20 | 7034 | macros/latex/contrib/iaria/template/iaria-example-neumann.tex
2024/03/20 | 69228 | systems/texlive/tlnet/archive/njuthesis.source.r70705.tar.xz
-2024/03/20 | 60300 | systems/texlive/tlnet/archive/dashrulex.doc.r70704.tar.xz
2024/03/20 | 5809 | macros/luatex/latex/ideavault/ideavault-doc.tex
2024/03/20 | 498 | macros/latex/contrib/iaria-lite/COPYING
2024/03/20 | 498 | macros/latex/contrib/iaria/COPYING
@@ -3092,7 +3528,6 @@
2024/03/20 | 18588 | macros/latex/contrib/iaria-lite/template/cpn_supervised_all.bib
2024/03/20 | 172037 | macros/latex/contrib/iaria/iaria.pdf
2024/03/20 | 169779 | macros/latex/contrib/iaria-lite/iaria-lite.pdf
-2024/03/20 | 1452 | systems/texlive/tlnet/archive/dashrulex.r70704.tar.xz
2024/03/20 | 1427 | macros/latex/contrib/iaria-lite/README
2024/03/20 | 1398 | macros/latex/contrib/iaria/README
2024/03/20 | 132907 | macros/latex/contrib/iaria-lite/template/iaria-lite-example-neumann.pdf
@@ -3100,38 +3535,3 @@
2024/03/20 | 12635 | macros/latex/contrib/iaria/iaria.dtx
2024/03/20 | 1253260 | systems/texlive/tlnet/archive/njuthesis.doc.r70705.tar.xz
2024/03/20 | 10122 | macros/latex/contrib/iaria-lite/iaria-lite.dtx
-2024/03/19 | 8596 | systems/texlive/tlnet/archive/collargs.r70689.tar.xz
-2024/03/19 | 8256 | systems/texlive/tlnet/archive/advice.doc.r70688.tar.xz
-2024/03/19 | 8188 | systems/texlive/tlnet/archive/pst-fit.r70686.tar.xz
-2024/03/19 | 8160 | systems/texlive/tlnet/archive/collargs.doc.r70689.tar.xz
-2024/03/19 | 695796 | systems/texlive/tlnet/archive/litebook.doc.r70695.tar.xz
-2024/03/19 | 6420 | systems/texlive/tlnet/archive/ocgx2.doc.r70696.tar.xz
-2024/03/19 | 6408 | systems/texlive/tlnet/archive/babel-norsk.source.r70691.tar.xz
-2024/03/19 | 62720 | systems/texlive/tlnet/archive/proflycee.r70697.tar.xz
-2024/03/19 | 61480 | systems/texlive/tlnet/archive/hyperxmp.source.r70694.tar.xz
-2024/03/19 | 5940 | systems/texlive/tlnet/archive/customenvs.r70692.tar.xz
-2024/03/19 | 5128 | systems/texlive/tlnet/archive/advice.r70688.tar.xz
-2024/03/19 | 468520 | systems/texlive/tlnet/archive/profsio.doc.r70685.tar.xz
-2024/03/19 | 456136 | systems/texlive/tlnet/archive/customenvs.doc.r70692.tar.xz
-2024/03/19 | 40136 | systems/texlive/tlnet/archive/memoize.source.r70690.tar.xz
-2024/03/19 | 3768 | systems/texlive/tlnet/archive/litebook.r70695.tar.xz
-2024/03/19 | 3673520 | systems/texlive/tlnet/archive/proflycee.doc.r70697.tar.xz
-2024/03/19 | 3231 | macros/unicodetex/latex/njuthesis/njuthesis.ins
-2024/03/19 | 322402 | macros/unicodetex/latex/njuthesis/njuthesis.dtx
-2024/03/19 | 28388 | systems/texlive/tlnet/archive/memoize.r70690.tar.xz
-2024/03/19 | 2565724 | systems/texlive/tlnet/archive/memoize.doc.r70690.tar.xz
-2024/03/19 | 25208 | systems/texlive/tlnet/archive/collargs.source.r70689.tar.xz
-2024/03/19 | 2516 | systems/texlive/tlnet/archive/babel-norsk.r70691.tar.xz
-2024/03/19 | 2464 | systems/texlive/tlnet/archive/pythonhighlight.r70698.tar.xz
-2024/03/19 | 19105 | macros/unicodetex/latex/njuthesis/LICENSE
-2024/03/19 | 17172 | systems/texlive/tlnet/archive/ocgx2.r70696.tar.xz
-2024/03/19 | 16248 | systems/texlive/tlnet/archive/profsio.r70685.tar.xz
-2024/03/19 | 152244 | systems/texlive/tlnet/archive/babel-norsk.doc.r70691.tar.xz
-2024/03/19 | 15208 | systems/texlive/tlnet/archive/hyperxmp.r70694.tar.xz
-2024/03/19 | 1480 | systems/texlive/tlnet/archive/pythonhighlight.doc.r70698.tar.xz
-2024/03/19 | 13792 | systems/texlive/tlnet/archive/advice.source.r70688.tar.xz
-2024/03/19 | 1336237 | macros/unicodetex/latex/njuthesis.zip
-2024/03/19 | 131236 | systems/texlive/tlnet/archive/pst-fit.doc.r70686.tar.xz
-2024/03/19 | 1261076 | macros/unicodetex/latex/njuthesis/njuthesis.pdf
-2024/03/19 | 1203748 | systems/texlive/tlnet/archive/hyperxmp.doc.r70694.tar.xz
-2024/03/19 | 1077 | macros/unicodetex/latex/njuthesis/README.md
diff --git a/biblio/ctan-bibdata/ctan.bib b/biblio/ctan-bibdata/ctan.bib
index 6541e99c52..d15d182d0c 100644
--- a/biblio/ctan-bibdata/ctan.bib
+++ b/biblio/ctan-bibdata/ctan.bib
@@ -1,7 +1,7 @@
%% bib file of all CTAN packages
%% (C) Herbert Voß
%%
-%% created at 25-03-2024, 02:00:04
+%% created at 26-03-2024, 02:00:04
%%
%% This file is provided under the terms of the LPPL v1.3 or
@@ -3756,8 +3756,8 @@
title = {The \texttt{asymptote} package},
subtitle = {2D and 3D \TeX{}-Aware Vector Graphics Language},
author = {John Bowman and Andy Hammerlindl},
- date = {2024-03-08},
- version = {2.88},
+ date = {2024-03-25},
+ version = {2.89},
license = {lgpl3},
mirror = {https://mirror.ctan.org/graphics/asymptote},
url = {https://ctan.org/pkg/asymptote},
@@ -6968,8 +6968,8 @@
title = {The \texttt{biber-linux-musl} package},
subtitle = {Biber binaries for Linux-MUSL},
author = {Philip Kime and Alexander Krumeich},
- date = {2023-04-16},
- version = {2.19-1},
+ date = {2024-03-25},
+ version = {2.20},
license = {artistic2},
mirror = {https://mirror.ctan.org/biblio/biber/biber-linux-musl},
url = {https://ctan.org/pkg/biber-linux-musl},
@@ -17359,13 +17359,13 @@
title = {The \texttt{dashrulex} package},
subtitle = {Draw dashed rules},
author = {Qu Yi},
- date = {2024-03-18},
- version = {1.00b},
+ date = {2024-03-25},
+ version = {1.00c},
license = {cc-by-4},
mirror = {https://mirror.ctan.org/macros/latex/contrib/dashrulex},
url = {https://ctan.org/pkg/dashrulex},
annotation = {This package package provides a flexible solution
- for drawing dashed rules in the body.
+ for drawing dashed rules in the body.
It currently provides two commands,
and .
It is written in \LaTeX{}3 and can be used as an alternative
@@ -23153,8 +23153,8 @@
title = {The \texttt{erewhon} package},
subtitle = {Font package derived from Heuristica and Utopia},
author = {Michael Sharpe},
- date = {2024-03-23},
- version = {1.121},
+ date = {2024-03-25},
+ version = {1.122},
license = {ofl,lppl1.3},
mirror = {https://mirror.ctan.org/fonts/erewhon},
url = {https://ctan.org/pkg/erewhon},
@@ -40926,6 +40926,17 @@
url = {https://ctan.org/pkg/longfigure},
}
+@manual{ctan-longmath,
+ title = {The \texttt{longmath} package},
+ subtitle = {Nested delimiter groups extending over multiple array cells or lines},
+ author = {Hans-Jürgen Matschull},
+ date = {2024-03-25},
+ version = {0.1},
+ license = {lppl1.3},
+ mirror = {https://mirror.ctan.org/macros/luatex/latex/longmath},
+ url = {https://ctan.org/pkg/longmath},
+}
+
@manual{ctan-longnamefilelist,
title = {The \texttt{longnamefilelist} package},
subtitle = {Tidy \textbackslash{}listfiles with long file names},
@@ -49025,8 +49036,8 @@
title = {The \texttt{newtx} package},
subtitle = {Alternative uses of the TX fonts, with improved metrics},
author = {Michael Sharpe},
- date = {2024-03-06},
- version = {1.742},
+ date = {2024-03-25},
+ version = {1.743},
license = {lppl1.3},
mirror = {https://mirror.ctan.org/fonts/newtx},
url = {https://ctan.org/pkg/newtx},
@@ -55695,8 +55706,8 @@
title = {The \texttt{ProfLycee} package},
subtitle = {A \LaTeX{} package for French maths teachers in high school},
author = {Cédric Pierquet},
- date = {2024-03-18},
- version = {3.03a},
+ date = {2024-03-25},
+ version = {3.03b},
license = {lppl1.3c},
mirror = {https://mirror.ctan.org/macros/latex/contrib/proflycee},
url = {https://ctan.org/pkg/proflycee},
@@ -55706,8 +55717,8 @@
title = {The \texttt{profmaquette} package},
subtitle = {Use exercises in different types of documents},
author = {Christophe Poulain},
- date = {2024-03-07},
- version = {0.88},
+ date = {2024-03-25},
+ version = {0.89},
license = {lppl1.3c},
mirror = {https://mirror.ctan.org/macros/latex/contrib/profmaquette},
url = {https://ctan.org/pkg/profmaquette},
@@ -55717,8 +55728,8 @@
title = {The \texttt{ProfSio} package},
subtitle = {Commands (with TikZ) to work with French “BTS SIO†maths themes},
author = {Cédric Pierquet},
- date = {2024-03-18},
- version = {0.2.2},
+ date = {2024-03-25},
+ version = {0.2.3},
license = {lppl1.3c},
mirror = {https://mirror.ctan.org/graphics/pgf/contrib/profsio},
url = {https://ctan.org/pkg/profsio},
diff --git a/fonts/parsimatn/ParsiMatn-Bold.ttf b/fonts/parsimatn/ParsiMatn-Bold.ttf
index 35514ff276..576bf2b5a4 100644
--- a/fonts/parsimatn/ParsiMatn-Bold.ttf
+++ b/fonts/parsimatn/ParsiMatn-Bold.ttf
Binary files differ
diff --git a/fonts/parsimatn/ParsiMatn-BoldItalic.ttf b/fonts/parsimatn/ParsiMatn-BoldItalic.ttf
index 1ac5ee3523..0eb1954585 100644
--- a/fonts/parsimatn/ParsiMatn-BoldItalic.ttf
+++ b/fonts/parsimatn/ParsiMatn-BoldItalic.ttf
Binary files differ
diff --git a/fonts/parsimatn/ParsiMatn-Italic.ttf b/fonts/parsimatn/ParsiMatn-Italic.ttf
index d3b5f6696a..8a3d1643b3 100644
--- a/fonts/parsimatn/ParsiMatn-Italic.ttf
+++ b/fonts/parsimatn/ParsiMatn-Italic.ttf
Binary files differ
diff --git a/fonts/parsimatn/ParsiMatn-Regular.ttf b/fonts/parsimatn/ParsiMatn-Regular.ttf
index d3086e516c..05e224cf03 100644
--- a/fonts/parsimatn/ParsiMatn-Regular.ttf
+++ b/fonts/parsimatn/ParsiMatn-Regular.ttf
Binary files differ
diff --git a/fonts/parsimatn/README.md b/fonts/parsimatn/README.md
index 6435ceef69..b40b7b0f43 100644
--- a/fonts/parsimatn/README.md
+++ b/fonts/parsimatn/README.md
@@ -1,5 +1,5 @@
# parsimatn
-v 2.1a -- Decemer 11, 2023
+v 2.2 -- March 26, 2024
=======================
diff --git a/fonts/parsimatn/parsimatn-example-of-use.pdf b/fonts/parsimatn/parsimatn-example-of-use.pdf
index a3a3af30da..c32ed54995 100644
--- a/fonts/parsimatn/parsimatn-example-of-use.pdf
+++ b/fonts/parsimatn/parsimatn-example-of-use.pdf
Binary files differ
diff --git a/fonts/parsimatn/parsimatn-example-of-use.tex b/fonts/parsimatn/parsimatn-example-of-use.tex
index 8465db21f5..82e26b75a2 100644
--- a/fonts/parsimatn/parsimatn-example-of-use.tex
+++ b/fonts/parsimatn/parsimatn-example-of-use.tex
@@ -24,9 +24,9 @@
\author{ساده، کارا، آشنا، زیبا}
\date{%
-گونۀ 1.2 آ
+گونۀ 2.2
\quad - \quad \today \\
-\lr{Version 2.1a \quad - \quad \latintoday}
+\lr{Version 2.2 \quad - \quad \latintoday}
}
\usepackage{ptext}
diff --git a/fonts/parsinevis/ParsiNevis-Bold.ttf b/fonts/parsinevis/ParsiNevis-Bold.ttf
index 1998ab0ae5..f709b35ad3 100644
--- a/fonts/parsinevis/ParsiNevis-Bold.ttf
+++ b/fonts/parsinevis/ParsiNevis-Bold.ttf
Binary files differ
diff --git a/fonts/parsinevis/ParsiNevis-BoldItalic.ttf b/fonts/parsinevis/ParsiNevis-BoldItalic.ttf
index 2c8da37a81..825564eb56 100644
--- a/fonts/parsinevis/ParsiNevis-BoldItalic.ttf
+++ b/fonts/parsinevis/ParsiNevis-BoldItalic.ttf
Binary files differ
diff --git a/fonts/parsinevis/ParsiNevis-Italic.ttf b/fonts/parsinevis/ParsiNevis-Italic.ttf
index c2ac1fcbc9..9bc883397c 100644
--- a/fonts/parsinevis/ParsiNevis-Italic.ttf
+++ b/fonts/parsinevis/ParsiNevis-Italic.ttf
Binary files differ
diff --git a/fonts/parsinevis/ParsiNevis-Regular.ttf b/fonts/parsinevis/ParsiNevis-Regular.ttf
index 14ca67ba72..861a70c0c3 100644
--- a/fonts/parsinevis/ParsiNevis-Regular.ttf
+++ b/fonts/parsinevis/ParsiNevis-Regular.ttf
Binary files differ
diff --git a/fonts/parsinevis/README.md b/fonts/parsinevis/README.md
index 8ada11000d..a8b938dbbc 100644
--- a/fonts/parsinevis/README.md
+++ b/fonts/parsinevis/README.md
@@ -1,5 +1,5 @@
# parsinevis
-v 2.1 -- September 29, 2023
+v 2.2 -- March 26, 2024
=======================
diff --git a/fonts/parsinevis/parsinevis-sample.pdf b/fonts/parsinevis/parsinevis-sample.pdf
index f7fb902388..63b078bbcd 100644
--- a/fonts/parsinevis/parsinevis-sample.pdf
+++ b/fonts/parsinevis/parsinevis-sample.pdf
Binary files differ
diff --git a/fonts/parsinevis/parsinevis-sample.tex b/fonts/parsinevis/parsinevis-sample.tex
index c6b7e2614d..d2d86b311f 100644
--- a/fonts/parsinevis/parsinevis-sample.tex
+++ b/fonts/parsinevis/parsinevis-sample.tex
@@ -24,9 +24,9 @@
\author{ویرایشی از Ùونت \lr{Scheherazade New} مناسب نوشتارهای پارسی}
\date{%
-گونۀ 1.2
+گونۀ 2.2
\quad - \quad \today \\
-\lr{Version 2.1 \quad - \quad \latintoday}
+\lr{Version 2.2 \quad - \quad \latintoday}
}
\usepackage{ptext}
diff --git a/macros/latex/contrib/litebook/doc/cha/cha1.tex b/macros/latex/contrib/litebook/doc/cha/cha1.tex
index 89ab1c9f90..d7a8e29acd 100644
--- a/macros/latex/contrib/litebook/doc/cha/cha1.tex
+++ b/macros/latex/contrib/litebook/doc/cha/cha1.tex
@@ -1,13 +1,11 @@
-\chapter{The \pkg{LiteBook} Template}
+\chapter{Introduction to the Template}
\section{The purpose of this package}
+This template provides a streamlined design for typesetting books. Welcome to feedback bugs or ideas via email \href{mailto:xiamyphys@gmail.com}{\ttfamily xiamyphys@gmail.com} or \href{https://github.com/xiamyphys/litebook}{GitHub}.
-This template provides a fresh cover and chapter design for book. Welcome to feedback bugs or ideas via email \href{mailto:xiamyphys@gmail.com}{\ttfamily xiamyphys@gmail.com} or \href{https://github.com/xiamyphys/litebook}{GitHub}.
-
-This template is used by me to reformat the textbook \href{https://github.com/xiamyphys/LaTeX-General-Relativity-R.Wald}{\emph{General Relativity, R. Wald}}, and I also use this template to typesetting my notes on \href{https://github.com/xiamyphys/Group-Theory-in-Physics}{\emph{Group Theory in Physics}}. You can download their codes on \href{https://github.com/xiamyphys}{GitHub}.
+This template is used by me to reformat the textbook \href{https://github.com/xiamyphys/LaTeX-General-Relativity-R.Wald}{\emph{General Relativity, R. Wald}}, and I also use this template to typesetting my notes on \href{https://github.com/xiamyphys/Group-Theory-in-Physics}{\emph{Group Theory in Physics}}. You can download them on \href{https://github.com/xiamyphys}{GitHub}.
\section{Installing \pkg{LiteBook} and loading it}
-
For portable version, simply download latest \verb|litebook.cls| file from \href{https://github.com/xiamyphys/LiteBook}{GitHub} or \href{https://ctan.org/pkg/litebook}{CTAN} and save it under your working directory. This way of installation is simple and convenient, but you have to manually update \verb|.cls| now and then.
However, I strongly suggest that you should use terminal/cmd to implement the commands to update all the packages (and install this package) to the latest version or switch to portable version instead
@@ -18,38 +16,31 @@ However, I strongly suggest that you should use terminal/cmd to implement the co
If you are in some areas with awful Internet environment (such as GFW), you can choose a proper mirror source or use other means\footnote{Please comply with local network regulations.}. To learn more, please refer to \href{https://tex.stackexchange.com/questions/55437/how-do-i-update-my-tex-distribution}{How do I update my \hologo{TeX} distribution?}
\section{Compatibility}
+The test environments are macOS + Mac\hologo{TeX} 2024 / Overleaf / Ubuntu 22.04.2 and they all work fine for \hologo{pdfLaTeX} and \hologo{XeLaTeX} compilers. Windows and Unix platforms' unknown. The compiling time of current document via \hologo{pdfLaTeX} compiler is about \verb|1s| on \textsf{MacBook Air M2 8 GB (macOS 14.4.1)} when charging.
-The test environments are macOS + Mac\hologo{TeX} 2024 / Overleaf and they all work fine for \hologo{pdfLaTeX} and \hologo{XeLaTeX} compilers. Windows, Linux and Unix platforms' unknown. The compile time of current document via \hologo{pdfLaTeX} compiler is \verb|0.965±0.0019s| on \textsf{MacBook Air M2 8GB (macOS Sonoma 14.4)} when charging.
-
-\section{Cover Information Settings}
-
+\section{Cover configurations}
There are several lines of information and a cover image on the cover of this document, the corresponding commands are the following
\begin{verbatim}
\cover{\UPLOWFadingImage[trim={0 {.9\paperheight} 0 0},clip]{cover}
[trim={0 {.5\paperheight} 0 0},clip]{cover}}
\title{\scshape The \pkg{LiteBook} Template}
- \subtitle{Version 0.2a \today} \author{Hsia Mingyu}
+ \subtitle{Version 0.2b \today} \author{Hsia Mingyu}
\bioinfo{Hangzhou Dianzi University}
\press{\scshape The University of Chicago Press}
\end{verbatim}
-The same as the \pkg{book} class, the command \cmd{title} could not be omitted, or it will return an error, and there will be a warning if the command \cmd{author} is omitted. The \cmd{cover} can assign the format of the image on the cover and you can adjust the format of the image with the \pkg{fadingimage} package.
-
-\section{Global options of this template}
+The same as the \pkg{book} class, the macro \cmd{title} could not be omitted, or it will return an error, and there will be a warning if the macro \cmd{author} is omitted. The \cmd{cover} can assign the format of the image on the cover and you can adjust the format of the image with the \pkg{fadingimage} package.
+\section{Math options of this template}
\begin{verbatim}
- \documentclass[<math>,<thmstyle>]{litebook}
+ \documentclass[<math>]{litebook}
\end{verbatim}
-\begin{itemize}
- \item The \mode{math} option can set the math font to be \mode{newtx} (default) or \mode{mtpro2}.
- \item The \mode{thmstyle} option can set the style of \pkg{amsthm} environments be the \pkg{mdframed} (default) or \pkg{amsthm}.
-\end{itemize}
+You can set the math font to be \mode{newtx} (default) or \mode{mtpro2}.
\section{Preset packages and commands}
-
-This template has been preset with the following packages:
+This template has preset with the following packages:
\begin{table}[!ht]
\centering
\begin{tabular}{l l l l l l l l}
@@ -58,7 +49,7 @@ This template has been preset with the following packages:
\midrule
\pkg{nicematrix} & \pkg{physics2} & \pkg{refstyle} & \pkg{siunitx} & \pkg{booktabs} & \pkg{diagbox} & \pkg{fontawesome5} & \pkg{geometry}\\
\midrule
- \pkg{indentfirst} & \pkg{mdframed} & \pkg{multicol} & \pkg{multirow} & \pkg{setspace} & \pkg{tabularx} & \pkg{tcolorbox} & \pkg{tikz}\\
+ \pkg{indentfirst} & \pkg{mdframed} & \pkg{multicol} & \pkg{multirow} & \pkg{setspace} & \pkg{tabularx} & \pkg{tikz} & \pkg{xcolor}\\
\bottomrule
\end{tabular}
\end{table}
@@ -68,18 +59,18 @@ You can click on them to go to the homepage to view the documentation.
And commands \verb|\i|, \verb|\e|, \verb|\T| have been defined to input
$\i$, $\e$ in roman (non-italic) text and matrix transpose symbol $\T$, which can help you typeset math quickly.
-The template has been preset the following reference command via \pkg{refstyle} package: \verb|\eqref{<label>}|, \verb|\figref{<label>}| and \verb|\tabref{<label>}|, you can add other ref commands via \pkg{refstyle} package.
-
-\section{Equation Test}
+The template has preset the following commands for different type of references via \pkg{refstyle} package: \verb|\eqref{<label>}|, \verb|\figref{<label>}| and \verb|\tabref{<label>}|, you can add other ref commands via \pkg{refstyle} package.
+\section{Equation test}
The following is the Schr\"odinger Equation
\begin{equation}
- \i\hbar\pdv{}t\Psi(x,t)=\ab[-\frac{\hbar^2}{2m}\frac{\partial^2}{\partial x^2}+V(x,t)]\Psi(x,t)
+ \i\hbar\pdv{}t\Psi(\bm r,t)=\ab[-\frac{\hbar^2}{2m}\nabla^2+V(\bm r,t)]\Psi(\bm r,t)
+ \label{1.7.1}
\end{equation}
-The above equations are the integral formula of the Maxwell's Equations in Gaussian units.
+\Eqref{1.7.1} is the time-dependent Schr\"odinger Equation for the nonrelativistic particle.
-\section{Figure and Caption Side by Side Test}
+\section{Figure and caption side by side test}
\begin{figure}[htbp]
\begin{minipage}{.32\textwidth}
\caption{A diagram showing the causal structure of spacetime in special relativity. The ``light cone'' of $p$ rather than a ``surface of simultaneity'' with $p$ now plays a fundamental role in determining the causal relationship of $p$ to other events.}
@@ -106,54 +97,4 @@ The above equations are the integral formula of the Maxwell's Equations in Gauss
\end{minipage}
\end{figure}
-Here, \figref{1.1} is a diagram showing the causal structure of spacetime in special relativity.
-
-\section{Preset Environments}
-
-\begin{verbatim}
- \begin{<theoremname>} ... \end{<theoremname>} \begin{axiom} ... \end{axiom}
-\end{verbatim}
-
-\begin{definition}[The Definition Environment]\leavevmode\newline
- From WikipediA: A definition is used to give a precise meaning to a new term, by describing a condition which unambiguously qualifies what a mathematical term is and is not.
-\end{definition}
-
-\begin{theorem}[The Theorem Environment]\leavevmode\newline
- From WikipediA: A theorem is a statement that has been proved, or can be proved.
-\end{theorem}
-
-\begin{lemma}[The Lemma Environment]\leavevmode\newline
- From WikipediA: In mathematics, informal logic and argument mapping, a lemma (pl.: lemmas or lemmata) is a generally minor, proven proposition which is used as a stepping stone to a larger result. For that reason, it is also known as a ``helping theorem'' or an ``auxiliary theorem''.
-\end{lemma}
-
-\begin{corollary}[The Corollary Environment]\leavevmode\newline
- From WikipediA: A corollary is a theorem of less importance which can be readily deduced from a previous, more notable statement.
-\end{corollary}
-
-\begin{proposition}[The Proposition Environment]\leavevmode\newline
- From WikipediA: A proposition is a central concept in the philosophy of language, semantics, logic, and related fields, often characterized as the primary bearer of truth or falsity.
-\end{proposition}
-
-\begin{postulate}[The Postulate Environment]\leavevmode\newline
- From WikipediA: A postulate is a statement everyone agrees to be correct.
-\end{postulate}
-
-\begin{axiom}[The Axiom Environment]\leavevmode\newline
- From WikipediA: An axiom is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.
-\end{axiom}
-
-\begin{remark}[The Remark Environment]\leavevmode\newline
- From Math StackExchange: The remark device is used for material that is is too long to be included in parentheses, while it deserves greater prominence than a footnote.
-\end{remark}
-
-\begin{example}
- From Cambridge Dictionary: The example is a way of helping someone to understand something by showing them how it is used.
-\end{example}
-
-\begin{problem}
- From Springer: A problem is generally considered to be a task, a situation, or person which is difficult to deal with or control due to complexity and intransparency.
-\end{problem}
-
-\begin{solution}
- The quick brown fox jumps over the lazy dog.
-\end{solution}
+Here, \figref{1.1} is a diagram showing the causal structure of spacetime in special relativity. \ No newline at end of file
diff --git a/macros/latex/contrib/litebook/doc/cha/cha2.tex b/macros/latex/contrib/litebook/doc/cha/cha2.tex
new file mode 100644
index 0000000000..5c6185f1d8
--- /dev/null
+++ b/macros/latex/contrib/litebook/doc/cha/cha2.tex
@@ -0,0 +1,49 @@
+\chapter{Appendix: Package \pkg{thmlist}}
+
+This template has preset two \emph{styles} of theorem environment via the \pkg{thmlist} package, you can create a series of environments with the two styles
+\begin{verbatim}
+ \mdflist{theorem, lemma, definition, proposition, postulate;
+ Theorem, Lemma, Definition, Proposition, Postulate;
+ DarkGreen, MidnightBlue, MidnightBlue, DarkOliveGreen, Indigo}
+ \amslist{remark, example, problem, solution;
+ Remark, Example, Problem, Solution;
+ DarkRed, Teal, Black, Black}
+\end{verbatim}
+
+You can add the environments like the two commands above as you need. For more information, please refer to the document of the \pkg{thmlist} package. The following are the effects of the two styles.
+
+The next five environments show the style of the \pkg{mdframed} package.
+
+\begin{theorem}[The Theorem Environment]\leavevmode\newline
+ From WikipediA: A theorem is a statement that has been proved, or can be proved.
+\end{theorem}
+
+\begin{lemma}[The Lemma Environment]\leavevmode\newline
+ From WikipediA: In mathematics, informal logic and argument mapping, a lemma (pl.: lemmas or lemmata) is a generally minor, proven proposition which is used as a stepping stone to a larger result. For that reason, it is also known as a ``helping theorem'' or an ``auxiliary theorem''.
+\end{lemma}
+
+\begin{definition}[The Definition Environment]\leavevmode\newline
+ From WikipediA: A definition is used to give a precise meaning to a new term, by describing a condition which unambiguously qualifies what a mathematical term is and is not.
+\end{definition}
+
+\begin{proposition}[The Proposition Environment]\leavevmode\newline
+ From WikipediA: A proposition is a central concept in the philosophy of language, semantics, logic, and related fields, often characterized as the primary bearer of truth or falsity.
+\end{proposition}
+
+\begin{postulate}[The Postulate Environment]\leavevmode\newline
+ From WikipediA: A postulate is a statement everyone agrees to be correct.
+\end{postulate}
+
+The next four environments show the style of the \pkg{amsthm} package.
+
+\begin{remark}[The Remark Environment]\leavevmode\newline
+ From Math StackExchange: The remark device is used for material that is is too long to be included in parentheses, while it deserves greater prominence than a footnote.
+\end{remark}
+
+\example{
+ From Cambridge Dictionary: The example is a way of helping someone to understand something by showing them how it is used.}
+
+\problem{
+ From Springer: A problem is generally considered to be a task, a situation, or person which is difficult to deal with or control due to complexity and intransparency.}
+
+\solution{The quick brown fox jumps over the lazy dog.} \ No newline at end of file
diff --git a/macros/latex/contrib/litebook/doc/cha/scha.tex b/macros/latex/contrib/litebook/doc/cha/scha.tex
deleted file mode 100644
index 1d85aa31ce..0000000000
--- a/macros/latex/contrib/litebook/doc/cha/scha.tex
+++ /dev/null
@@ -1,3 +0,0 @@
-\chapter*{A Test to Unnumbered Chapter}
-
-\lipsum[1-6] \ No newline at end of file
diff --git a/macros/latex/contrib/litebook/doc/litebook.pdf b/macros/latex/contrib/litebook/doc/litebook.pdf
index 4e74717211..642f95c042 100644
--- a/macros/latex/contrib/litebook/doc/litebook.pdf
+++ b/macros/latex/contrib/litebook/doc/litebook.pdf
Binary files differ
diff --git a/macros/latex/contrib/litebook/doc/litebook.tex b/macros/latex/contrib/litebook/doc/litebook.tex
index 5a42f997a3..5ec4378afe 100644
--- a/macros/latex/contrib/litebook/doc/litebook.tex
+++ b/macros/latex/contrib/litebook/doc/litebook.tex
@@ -1,20 +1,32 @@
-\documentclass[
- math = newtx,
- thmstyle = mdframed
-]{litebook}
+\documentclass{litebook}
\cover{\UPLOWFadingImage[trim={0 {.9\paperheight} 0 0},clip]{cover}
[trim={0 {.5\paperheight} 0 0},clip]{cover}}
-\title{\scshape The \pkg{LiteBook} Template}
-\subtitle{Version 0.2a \today}
+\title{The \pkg{LiteBook} Template}
+\subtitle{Version 0.2b \today}
\author{Hsia Mingyu}
\bioinfo{Hangzhou Dianzi University}
\press{\scshape\textcolor{teal}{\faIcon{telegram-plane}}Hangzhou in Late Spring 2024}
+\mdflist{theorem, lemma, definition, proposition, postulate;
+ Theorem, Lemma, Definition, Proposition, Postulate;
+ DarkGreen, MidnightBlue, MidnightBlue, DarkOliveGreen, Indigo}
+\amslist{remark, example, problem, solution;
+ Remark, Example, Problem, Solution;
+ DarkRed, Teal, Black, Black}
+
\begin{document}
-\maketitle\frontmatter\tableofcontents\mainmatter
+\let\theremark=\relax
+\def\theproblem{\arabic{problem}}
+\def\theexample{\arabic{example}}
+\let\thesolution=\relax
+
+\maketitle
+\frontmatter
+\tableofcontents
+\mainmatter
\input{cha/cha1.tex}
-\input{cha/scha.tex}
+\input{cha/cha2.tex}
\end{document} \ No newline at end of file
diff --git a/macros/latex/contrib/litebook/tex/litebook.cls b/macros/latex/contrib/litebook/tex/litebook.cls
index ceeb43e163..0489b2f031 100644
--- a/macros/latex/contrib/litebook/tex/litebook.cls
+++ b/macros/latex/contrib/litebook/tex/litebook.cls
@@ -19,7 +19,8 @@
%% ****************************************************************************************************
% !Mode:: "TeX:UTF-8"
\NeedsTeXFormat{LaTeX2e}
-\ProvidesClass{litebook}[2024/03/18 v0.2a LiteBook document class]
+\PassOptionsToPackage{quiet}{xeCJK}
+\ProvidesClass{litebook}[2024/03/26 v0.2b LiteBook document class]
\RequirePackage{kvoptions}
\RequirePackage{etoolbox}
\SetupKeyvalOptions{family=LITE, prefix=LITE@, setkeys=\kvsetkeys}
@@ -29,28 +30,23 @@
\DeclareVoidOption{newtx}{\ekv{math=newtx}}
\DeclareVoidOption{mtpro2}{\ekv{math=mtpro2}}
-\DeclareStringOption[mdframed]{thmstyle}
-\DeclareVoidOption{mdframed}{\ekv{thmstyle=mdframed}}
-\DeclareVoidOption{amsthm}{\ekv{thmstyle=amsthm}}
-
\DeclareDefaultOption{\PassOptionsToClass{\CurrentOption}{book}}
\ProcessKeyvalOptions*\relax
-\LoadClass[letterpaper,11pt,openany]{book}
+\LoadClass[letterpaper,11pt,openright]{book}
\RequirePackage{geometry,indentfirst,setspace,enumitem,booktabs,tabularx,diagbox,multicol,multirow}
-\geometry{lmargin = .8 in,rmargin = 1.2 in,tmargin= 1 in,bmargin= 1 in}
+\geometry{lmargin = .8 in,rmargin = 1.2 in,tmargin = 1 in,bmargin = 1 in}
\setlength{\headheight}{13.6pt}
\RequirePackage{lipsum,hologo}
\hologoFontSetup{general=\sffamily}
\RequirePackage{ifxetex}
\ifXeTeX
- \RequirePackage[quiet]{xeCJK}
+ \RequirePackage{ctex}
\RequirePackage[quiet,no-math]{fontspec}
\RequirePackage{zhlipsum}
- \setlength{\parindent}{2em}
\else
- \setlength{\parindent}{2ex}
+ \usepackage[T1]{fontenc}
\fi
\RequirePackage{graphics,graphicx}
@@ -58,9 +54,9 @@
\RequirePackage[labelsep=period,labelfont={bf,sf},font=small]{caption}
\RequirePackage[nokeyprefix]{refstyle}
-\newref{eq}{refcmd=(\ref{#1}),name={\sffamily Eq.~}}
-\newref{fig}{name={\sffamily\bfseries Figure~}}
-\newref{tab}{name={\sffamily\bfseries Table~}}
+\newref{eq}{refcmd=(\ref{#1}),name={\sffamily eq.~},Name={\sffamily Eq.~}}
+\newref{fig}{name={\sffamily fig.~},Name={\sffamily Fig.~}}
+\newref{tab}{name={\sffamily tab.~},Name={\sffamily Tab.~}}
\RequirePackage{tocloft}
\setlength{\cftbeforetoctitleskip}{6\p@}
@@ -84,7 +80,6 @@
\huge\bfseries\sffamily #1\par\nobreak
\vskip 36\p@
}}
-
\def\@makeschapterhead#1{%
\gdef\s@chapter{#1}
\addcontentsline{toc}{chapter}{\s@chapter}
@@ -95,35 +90,40 @@
\huge \bfseries \sffamily #1\par\nobreak
\vskip 40\p@
}}
-
\let\cleardoublepage=\clearpage
-\makeatletter
\renewcommand*{\cleardoublepage}{\clearpage\if@twoside \ifodd\c@page\else
+\ifnum \thechapter=0
\vspace*{\fill}
{\centering\itshape\Large This page was intentionally left blank.\par}
\vspace{\fill}
-\thispagestyle{empty}
-\newpage
+\else
+ \clearpage%
+ \thispagestyle{empty}%
+ \null\clearpage
+\fi
+\thispagestyle{empty}\newpage
\if@twocolumn\hbox{}\newpage\fi\fi\fi}
\RequirePackage{fancyhdr}
\pagestyle{fancy}
- \fancyhead[OL]{\textsc{\sffamily\nouppercase\leftmark}}
- \fancyhead[OR]{\sffamily\thepage}
- \fancyhead[ER]{\textsc{\sffamily\nouppercase\rightmark}}
- \fancyhead[EL]{\sffamily\thepage}
- \lfoot{}\cfoot{}\rfoot{}
+ \let\oldheadrule\headrule
+ \renewcommand{\headrule}{{\color{gray}\oldheadrule}}
+ \renewcommand{\headrulewidth}{1pt}
+ \fancyhead[OL]{\textsc{\color{darkgray}\sffamily\nouppercase\leftmark}}
+ \fancyhead[OR]{\color{darkgray}\sffamily\thepage}
+ \fancyhead[ER]{\textsc{\color{darkgray}\sffamily\nouppercase\rightmark}}
+ \fancyhead[EL]{\color{darkgray}\sffamily\thepage}
+ \cfoot{}
\RequirePackage{tikz}
\usetikzlibrary{arrows,tikzmark,patterns,calc}
\RequirePackage{fadingimage}
\tikzset{>=stealth',
every picture/.append style={%
- line join=round,
- line cap=round,
+ line join = round,
+ line cap = round,
thick
- }
-}
+}}
\RequirePackage[fixed]{fontawesome5}
\AddToHook{cmd/faIcon/before}{%
@@ -132,14 +132,10 @@ every picture/.append style={%
\AddToHook{cmd/faIcon/after}{\endgroup}
\RequirePackage[svgnames]{xcolor}
-\definecolor{pkgcolor}{Hsb}{103,.8,.5}
-\definecolor{moducolor}{Hsb}{290,.8,.5}
-\definecolor{cmdcolor}{Hsb}{188,.8,.5}
-\RequirePackage[colorlinks,linkcolor=cmdcolor,urlcolor=pkgcolor]{hyperref}
-\def\pkg#1{\texorpdfstring{\textcolor{pkgcolor}{%
- \href{https://ctan.org/pkg/#1}{\textsf{#1}}}}{“#1â€}}
-\def\mode#1{\texorpdfstring{\textcolor{moducolor}{\textsf{#1}}}{“#1â€}}
-\def\cmd#1{\texorpdfstring{\textcolor{cmdcolor}{\textsf{#1}}}{“#1â€}}
+\RequirePackage[colorlinks,linkcolor=DarkGreen,urlcolor=Teal]{hyperref}
+\def\pkg#1{\textcolor{DarkGreen}{\textsf{#1}}}
+\def\mode#1{\textcolor{Indigo}{\textsf{#1}}}
+\def\cmd#1{\textcolor{MidnightBlue}{\texttt{\string#1}}}
\RequirePackage{datetime}\yyyymmdddate
\def\subtitle#1{\gdef\@subtitle{#1}}
@@ -153,11 +149,7 @@ every picture/.append style={%
\renewcommand*\maketitle{%
\begin{titlepage}
\newgeometry{margin = 0 in}
- \ifcsname @cover\endcsname
- \@cover\vskip75\p@
- \else
- \vspace*{75\p@}
- \fi
+ \ifcsname @cover\endcsname\@cover\vskip80\p@\else\vspace*{80\p@}\fi
\parindent=0pt
\centering\sffamily\bfseries
\HUge\@title\normalfont
@@ -171,7 +163,7 @@ every picture/.append style={%
\parbox[t]{\textwidth}{\centering
\sffamily\bfseries\large\@press\normalfont\vskip75\p@}\fi
\clearpage
- \vspace*{\fill}\normalfont
+ \vspace*{\fill}
{\centering \Huge\sffamily\bfseries\itshape\@title\par}
\vspace{\fill}
\restoregeometry
@@ -183,58 +175,26 @@ every picture/.append style={%
\RequirePackage[mtpscr,mtpccal,mtpfrak]{mtpro2}
\RequirePackage[mono=false]{libertine}
}{\relax}
-
\ifdefstring{\LITE@math}{newtx}{%
\RequirePackage[libertine,mono=false]{newtx}
}{\relax}
-
\let\openbox\relax\def\hmmax{0}\def\bmmax{0}
\RequirePackage{physics2,bm,fixdif,derivative,cancel,extarrows,siunitx,nicefrac,nicematrix}
\usephysicsmodule{ab,braket,diagmat,doubleprod,xmat,ab.legacy,op.legacy}
\RequirePackage[e]{esvect}
-\def\i{\mathrm i}\def\e{\mathrm e}\def\T{\mathsf T}
-\numberwithin{equation}{section}
-
-\RequirePackage{amsthm,mdframed,listofitems}
-\setsepchar{;/,}\ignoreemptyitems
-\theoremstyle{definition}
-\def\th@definition{\thm@notefont{}\normalfont}
-\readlist*\thmlist{%
- theorem, lemma, definition, corollary, proposition, postulate, axiom, remark;
- DarkGreen, MidnightBlue, MidnightBlue, Olive, Olive, Indigo, Indigo, DarkRed
+\def\i{\mathrm i}
+\def\e{\mathrm e}
+\def\T{\mathsf T}
+\AtBeginDocument{%
+ \setlength{\abovedisplayskip}{9pt}
+ \setlength{\belowdisplayskip}{9pt}
}
-\ifnum \listlen\thmlist[1]<\listlen\thmlist[2]
- \def\thmnum{\listlen\thmlist[1]}
-\else
- \def\thmnum{\listlen\thmlist[2]}
-\fi
-
-\ifdefstring{\LITE@thmstyle}{mdframed}{%
- \foreach \x in {1,...,\thmnum}{\expandafter\xdef\csname\x\x\endcsname{\noexpand
- \newmdtheoremenv[
- skipabove=0pt, skipbelow=0pt,
+\numberwithin{equation}{section}
+\RequirePackage[amscounter=section,amsstyle=definition,
+ mdfcounter=section,mdfstyle=mdflist]{thmlist}
+\mdfsetup{skipabove=2pt,skipbelow=2pt}
+\mdfdefinestyle{mdflist}{%
hidealllines=true, leftline=true,
- linewidth=.5ex, linecolor=\thmlist[2,\x],
- innerleftmargin=1.5ex, innerrightmargin=0pt,
- innertopmargin=-1.5ex, innerbottommargin=.5ex]
- {\thmlist[1,\x]}
- {\noexpand\color{\thmlist[2,\x]}\noexpand\sffamily\expandafter\MakeUppercase\expanded{\thmlist[1,\x]}}[chapter]
-}}
-}{\relax}
-
-\ifdefstring{\LITE@thmstyle}{amsthm}{%
- \foreach \x in {1,...,\thmnum}{\expandafter\xdef\csname\x\x\endcsname{\noexpand
- \newtheorem
- {\thmlist[1,\x]}
- {\noexpand\color{\thmlist[2,\x]}\noexpand\sffamily\expandafter\MakeUppercase\expanded{\thmlist[1,\x]}}[chapter]
-}}
-}{\relax}
-
-\foreach \x in {1,...,\thmnum}{\csname\x\x\endcsname}
-\let\theremark=\relax
-
-\newtheorem{example}{\sffamily\color{Teal} Example}[chapter]
-\def\theexample{\arabic{example}}
-\newtheorem{problem}{\sffamily Problem}[chapter]
-\def\theproblem{\arabic{problem}}
-\newtheorem*{solution}{\sffamily Solution} \ No newline at end of file
+ linewidth=.5ex, innerleftmargin=1.5ex,
+ innerrightmargin=0pt, innertopmargin=-1.75ex,
+ innerbottommargin=0pt} \ No newline at end of file
diff --git a/macros/latex/contrib/pdfmanagement-testphase/CHANGELOG.md b/macros/latex/contrib/pdfmanagement-testphase/CHANGELOG.md
index 8d8df7e071..76a7ffaecf 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/CHANGELOG.md
+++ b/macros/latex/contrib/pdfmanagement-testphase/CHANGELOG.md
@@ -5,13 +5,25 @@ first release 0.95a, 2021-02-23 will be documented in this file.
The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/),
this project uses date-based 'snapshot' version identifiers.
+## [2024-03-26]
+Version: 2024-03-26, 0.96g
+
+### Added
+ - l3pdfmeta.dtx: interface for xmpRights:Marked.
+ - l3pdfmeta.dtx: add wtpdf declations if ua-2 is used.
+
+### Changed
+ - removed unneeded firstaids for fontspec, transparent and pdflscape
+
## [2024-03-01]
+Version: 2024-03-01, 0.96f
### Changed
- format of /F in filespec: use utf8/string for better compability with ZUGFeRD processor.
- added /Contents entry to URI and GoTo links for better UA support.
## [2024-02-22]
+Version: 2024-02-22, 0.96e
### Changed
- date of UA-2 is now 2024
diff --git a/macros/latex/contrib/pdfmanagement-testphase/README.md b/macros/latex/contrib/pdfmanagement-testphase/README.md
index 8bd1188f1f..1378840ee9 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/README.md
+++ b/macros/latex/contrib/pdfmanagement-testphase/README.md
@@ -1,6 +1,6 @@
# LaTeX PDF management testphase bundle
-Version: 0.96f, 2024-03-01
+Version: 0.96g, 2024-03-26
This package is used during a test phase to load the new PDF management code
of LaTeX.
diff --git a/macros/latex/contrib/pdfmanagement-testphase/color-ltx.sty b/macros/latex/contrib/pdfmanagement-testphase/color-ltx.sty
index fbb8fb6199..912e4c644f 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/color-ltx.sty
+++ b/macros/latex/contrib/pdfmanagement-testphase/color-ltx.sty
@@ -24,7 +24,7 @@
%% This file has the LPPL maintenance status "maintained".
%%
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
-\ProvidesPackage{color-ltx}[2024-03-01 v0.96f
+\ProvidesPackage{color-ltx}[2024-03-26 v0.96g
Standard LaTeX Color (patched for l3color, part of pdfmanagement-testphase, original version 2022/01/06 v1.3d) (DPC)]
\edef\Gin@codes{%
\catcode`\noexpand\^^A\the\catcode`\^^A\relax
diff --git a/macros/latex/contrib/pdfmanagement-testphase/colorspace-patches-tmp-ltx.sty b/macros/latex/contrib/pdfmanagement-testphase/colorspace-patches-tmp-ltx.sty
index f7325a206f..a9719de19e 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/colorspace-patches-tmp-ltx.sty
+++ b/macros/latex/contrib/pdfmanagement-testphase/colorspace-patches-tmp-ltx.sty
@@ -19,7 +19,7 @@
%
% for those people who are interested.
\NeedsTeXFormat{LaTeX2e}[2020/10/01]
-\ProvidesExplPackage{colorspace-patches-tmp-ltx}{2024-03-01}{0.96f}
+\ProvidesExplPackage{colorspace-patches-tmp-ltx}{2024-03-26}{0.96g}
{temporay patches to for the colorspace package to test pdfresource management ... UF}
% colorspace can define more models, that l3color can't yet handle.
diff --git a/macros/latex/contrib/pdfmanagement-testphase/hyperref-generic.dtx b/macros/latex/contrib/pdfmanagement-testphase/hyperref-generic.dtx
index 8fbfda14ef..91dbb1d88a 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/hyperref-generic.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/hyperref-generic.dtx
@@ -82,7 +82,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
@@ -964,7 +964,7 @@
%<@@=hyp>
% \end{macrocode}
% \begin{macrocode}
-\ProvidesFile{hgeneric-testphase.def}[2024-03-01 v0.96f %
+\ProvidesFile{hgeneric-testphase.def}[2024-03-26 v0.96g %
generic Hyperref driver for the LaTeX PDF management testphase bundle]
\RequirePackage{etoolbox} %why?
@@ -3079,7 +3079,7 @@
,#1highlight / unknown .code:n =
{
\msg_warning:nneee { hyp } { unknown-choice+empty }
- { pdfhighlight }
+ { #1highlight }
{ /I~(inverse), /N~(no effect), /O~(outline), /P~(inset) }
{ \exp_not:n {##1} }
}
diff --git a/macros/latex/contrib/pdfmanagement-testphase/hyperref-generic.pdf b/macros/latex/contrib/pdfmanagement-testphase/hyperref-generic.pdf
index 3ae39a6a57..ee538f4cbb 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/hyperref-generic.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/hyperref-generic.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3backend-testphase.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3backend-testphase.dtx
index e5a5c8eef4..d7c0d8d930 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3backend-testphase.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3backend-testphase.dtx
@@ -45,7 +45,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
%
@@ -56,27 +56,27 @@
% \begin{macrocode}
%<drivers>\ProvidesExplFile
%<*dvipdfmx>
- {l3backend-testphase-dvipdfmx.def}{2024-03-01}{}
+ {l3backend-testphase-dvipdfmx.def}{2024-03-26}{}
{LaTeX~PDF~management~testphase~bundle~backend~support: dvipdfmx}
%</dvipdfmx>
%<*dvips>
- {l3backend-testphase-dvips.def}{2024-03-01}{}
+ {l3backend-testphase-dvips.def}{2024-03-26}{}
{LaTeX~PDF~management~testphase~bundle~backend~support: dvips}
%</dvips>
%<*dvisvgm>
- {l3backend-testphase-dvisvgm.def}{2024-03-01}{}
+ {l3backend-testphase-dvisvgm.def}{2024-03-26}{}
{LaTeX~PDF~management~testphase~bundle~backend~support: dvisvgm}
%</dvisvgm>
%<*luatex>
- {l3backend-testphase-luatex.def}{2024-03-01}{}
+ {l3backend-testphase-luatex.def}{2024-03-26}{}
{LaTeX~PDF~management~testphase~bundle~backend~support: PDF output (LuaTeX)}
%</luatex>
%<*pdftex>
- {l3backend-testphase-pdftex.def}{2024-03-01}{}
+ {l3backend-testphase-pdftex.def}{2024-03-26}{}
{LaTeX~PDF~management~testphase~bundle~backend~support: PDF output (pdfTeX)}
%</pdftex>
%<*xdvipdfmx>
- {l3backend-testphase-xetex.def}{2024-03-01}{}
+ {l3backend-testphase-xetex.def}{2024-03-26}{}
{LaTeX~PDF~management~testphase~bundle~backend~support: XeTeX}
%</xdvipdfmx>
% \end{macrocode}
@@ -1965,7 +1965,7 @@
\tex_pdfdest:D
struct~
\int_use:c
- { c_@@_backend_object_ \exp_args:Ne \tl_to_str:n {\l_pdf_current_structure_destination_tl} _int }~
+ { c_@@_object_ \exp_args:Ne \tl_to_str:n {\l_pdf_current_structure_destination_tl} _int }~
name {#1}
\str_case:nnF {#2}
{
@@ -1995,7 +1995,7 @@
\tex_pdfdest:D
struct~
\int_use:c
- { c_@@_backend_object_ \exp_args:Ne \tl_to_str:n {\l_pdf_current_structure_destination_tl} _int }~
+ { c_@@_object_ \exp_args:Ne \tl_to_str:n {\l_pdf_current_structure_destination_tl} _int }~
name {#1}
fitr ~
width \dim_eval:n {#2} ~
@@ -2037,7 +2037,7 @@
\tex_pdfextension:D dest
struct~
\int_use:c
- { c_@@_backend_object_ \exp_args:Ne \tl_to_str:n {\l_pdf_current_structure_destination_tl} _int }~
+ { c_@@_object_ \exp_args:Ne \tl_to_str:n {\l_pdf_current_structure_destination_tl} _int }~
name {#1}
\str_case:nnF {#2}
{
@@ -2067,7 +2067,7 @@
\tex_pdfextension:D dest
struct~
\int_use:c
- { c_@@_backend_object_ \exp_args:Ne \tl_to_str:n {\l_pdf_current_structure_destination_tl} _int }~
+ { c_@@_object_ \exp_args:Ne \tl_to_str:n {\l_pdf_current_structure_destination_tl} _int }~
name {#1}
fitr ~
width \dim_eval:n {#2} ~
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3backend-testphase.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3backend-testphase.pdf
index 4a45caba95..18dce0d15c 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3backend-testphase.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3backend-testphase.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdfannot.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3pdfannot.dtx
index 099640fdb9..9b6985afad 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdfannot.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdfannot.dtx
@@ -48,7 +48,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
@@ -163,7 +163,7 @@
%
% \begin{variable}{\c_pdfannot_link_types_seq}
% There are currently five link types, \texttt{URI}, \texttt{GoToR},
-% \texttt{Launch}, \texttt{GoTo} or \texttt{Named}, and there are store in this
+% \texttt{Launch}, \texttt{GoTo} or \texttt{Named}, and there are stored in this
% constant.
% \end{variable}
% \begin{variable}
@@ -432,7 +432,7 @@
% \begin{macrocode}
%<@@=pdfannot>
%<*header>
-\ProvidesExplPackage{l3pdfannot}{2024-03-01}{0.96f}
+\ProvidesExplPackage{l3pdfannot}{2024-03-26}{0.96g}
{PDF-annotations}
\RequirePackage{l3pdfdict}
%</header>
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdfannot.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3pdfannot.pdf
index 3c2d3eca0b..880cb937f6 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdfannot.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdfannot.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdfdict.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3pdfdict.dtx
index c9d51ef555..badac0a01b 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdfdict.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdfdict.dtx
@@ -49,7 +49,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
@@ -208,7 +208,7 @@
% \begin{macrocode}
%<@@=pdfdict>
%<*header>
-\ProvidesExplPackage{l3pdfdict}{2024-03-01}{0.96f}
+\ProvidesExplPackage{l3pdfdict}{2024-03-26}{0.96g}
{Tools for PDF dictionaries (LaTeX PDF management testphase bundle)}
%</header>
% \end{macrocode}
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdfdict.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3pdfdict.pdf
index 3d5899d6fd..1ef7e5af82 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdfdict.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdfdict.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-action.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-action.dtx
index 60067dab63..cd573afb4a 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-action.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-action.dtx
@@ -49,7 +49,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-action.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-action.pdf
index 138ffd1059..d03a6c3d99 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-action.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-action.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-checkbox.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-checkbox.dtx
index 6b37d1db68..251c7582b2 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-checkbox.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-checkbox.dtx
@@ -64,7 +64,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-checkbox.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-checkbox.pdf
index 54292479cd..17af799224 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-checkbox.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-checkbox.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-choice.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-choice.dtx
index f98e6c3f07..848ee80f0e 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-choice.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-choice.dtx
@@ -49,7 +49,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-choice.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-choice.pdf
index 3e38f90827..c824d99d19 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-choice.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-choice.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-pushbutton.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-pushbutton.dtx
index b76f385207..c8681262d5 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-pushbutton.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-pushbutton.dtx
@@ -55,7 +55,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-pushbutton.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-pushbutton.pdf
index 379145a63a..b1010941ff 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-pushbutton.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-pushbutton.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-radiobutton.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-radiobutton.dtx
index 51bfce9347..58b5234a6c 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-radiobutton.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-radiobutton.dtx
@@ -83,7 +83,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-radiobutton.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-radiobutton.pdf
index ef1ebfc0ee..7b834e6cc8 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-radiobutton.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-radiobutton.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-textfield.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-textfield.dtx
index 876bcacb35..48af1942de 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-textfield.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-textfield.dtx
@@ -49,7 +49,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-textfield.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-textfield.pdf
index 10cbf0029a..ec5bf44062 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-textfield.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield-textfield.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield.dtx
index 24b0591a27..9447227b4e 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield.dtx
@@ -69,7 +69,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
@@ -972,7 +972,7 @@
%<*package>
%<@@=pdffield>
\NeedsTeXFormat{LaTeX2e}
-\ProvidesExplPackage{l3pdffield-testphase}{2024-03-01}{0.96f}%
+\ProvidesExplPackage{l3pdffield-testphase}{2024-03-26}{0.96g}%
{form fields}
% \end{macrocode}
% \subsection{hyperref specific command}
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield.pdf
index 18f43aa4f6..b039c21c83 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffield.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffield.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffile.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3pdffile.dtx
index a13a4598a1..6677793495 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffile.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffile.dtx
@@ -49,7 +49,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
@@ -398,7 +398,7 @@
%
% \begin{macrocode}
%<*header>
-\ProvidesExplPackage{l3pdffile}{2024-03-01}{0.96f}
+\ProvidesExplPackage{l3pdffile}{2024-03-26}{0.96g}
{embedding and referencing files in PDF---LaTeX PDF management testphase bundle}
\RequirePackage{l3pdftools} %temporarly!!
%</header>
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdffile.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3pdffile.pdf
index 91314688ee..4f45287aaa 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdffile.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdffile.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdfmanagement.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3pdfmanagement.dtx
index 4d430bed91..c605ea7e52 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdfmanagement.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdfmanagement.dtx
@@ -57,7 +57,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
@@ -632,7 +632,7 @@
%<@@=pdfmanagement>
%<*header>
%
-\ProvidesExplPackage{l3pdfmanagement}{2024-03-01}{0.96f}
+\ProvidesExplPackage{l3pdfmanagement}{2024-03-26}{0.96g}
{Management of core PDF dictionaries (LaTeX PDF management testphase bundle)}
%</header>
% \end{macrocode}
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdfmanagement.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3pdfmanagement.pdf
index 2f9176068b..22b1113a50 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdfmanagement.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdfmanagement.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdfmeta.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3pdfmeta.dtx
index a8f9fa8a24..459265b2cf 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdfmeta.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdfmeta.dtx
@@ -49,7 +49,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
@@ -552,7 +552,12 @@
% The keys |pdfcopyright| and |pdflicenseurl| work similar as in \pkg{hyperxmp}.
% But differently to \pkg{hyperxmp} the code doesn't set the |xmpRights:Marked|
% property, as I have some doubts that one deduce its value simply
-% by checking if the other keys have been used; if needed it should be added manually.
+% by checking if the other keys have been used; if needed it can be added by
+% using one of these settings (true means with copyright, false means public domain).
+% \begin{verbatim}
+% \AddToDocumentProperties[document]{copyright}{true}
+% \AddToDocumentProperties[document]{copyright}{false}
+% \end{verbatim}
%
% \subsection{PDF related data}
% The PDF producer is for all engines by default built from the engine
@@ -597,7 +602,9 @@
% and use the \texttt{e} variant to expand it.
% \end{function}
%
-% \begin{function}{\pdfmeta_xmp_add_declaration:nnnnn,\pdfmeta_xmp_add_declaration:ennnn}
+% \begin{function}{\pdfmeta_xmp_add_declaration:nnnnn,
+% \pdfmeta_xmp_add_declaration:ennnn,
+% \pdfmeta_xmp_add_declaration:eeenn}
% \begin{syntax}
% \cs{pdfmeta_xmp_add_declaration:nnnnn}\Arg{uri}\Arg{By}\Arg{Date}\Arg{Credentials}\Arg{Report}
% \end{syntax}
@@ -618,7 +625,7 @@
% \begin{macrocode}
%<@@=pdfmeta>
%<*header>
-\ProvidesExplPackage{l3pdfmeta}{2024-03-01}{0.96f}
+\ProvidesExplPackage{l3pdfmeta}{2024-03-26}{0.96g}
{PDF-Standards---LaTeX PDF management testphase bundle}
%</header>
% \end{macrocode}
@@ -1281,9 +1288,41 @@
\AddToDocumentProperties [document]{pdfstandard-UA}{{2}{2024}}
\AddToHook{begindocument/before}
{\prop_gput:Nnn \g__pdfmeta_standard_prop {Trailer_no_Info}{}}
+ \AddToHook{begindocument/before}
+ {
+ \@@_xmp_wtpdf_accessibility_declaration:
+ \@@_xmp_wtpdf_reuse_declaration:
+ }
},
- xmp .bool_gset:N = \g_@@_xmp_bool
+ xmp .choice:,
+ xmp / true .code:n = { \bool_gset_true:N \g_@@_xmp_bool },
+ xmp / false .code:n = { \bool_gset_false:N \g_@@_xmp_bool},
+ xmp .default:n = true,
+% \end{macrocode}
+% These keys allow to disable or force the wtpdf declarations.
+% Currently the content can not be changed and once they have been disabled there
+% are gone. This will perhaps change.
+% \begin{macrocode}
+ xmp / wtpdf .code:n =
+ {
+ \keys_set:nn {@@/xmp}{#1}
+ },
}
+\keys_define:nn {@@/xmp}
+ {
+ reuse .choice:,
+ reuse / true .code:n = \@@_xmp_wtpdf_reuse_declaration:,
+ reuse / false .code:n =
+ {
+ \cs_set_eq:NN \@@_xmp_wtpdf_reuse_declaration: \prg_do_nothing:
+ },
+ accessibility .choice:,
+ accessibility / true .code:n = \@@_xmp_wtpdf_accessibility_declaration:,
+ accessibility /false .code:n =
+ {
+ \cs_set_eq:NN \@@_xmp_wtpdf_accessibility_declaration: \prg_do_nothing:
+ },
+ }
% \end{macrocode}
% XMP debugging option
% \begin{macrocode}
@@ -2616,6 +2655,16 @@
{xmpRights}
{WebStatement}
{\GetDocumentProperties{hyperref/pdflicenseurl}}
+ \@@_xmp_add_packet_line:nne
+ {xmpRights}
+ {Marked}
+ {
+ \str_case:en {\GetDocumentProperties{document/copyright}}
+ {
+ {true}{True}
+ {false}{False}
+ }
+ }
}
% \end{macrocode}
% \end{macro}
@@ -2869,7 +2918,36 @@
\l_@@_tmpa_tl
}
}
-\cs_generate_variant:Nn\pdfmeta_xmp_add_declaration:nnnnn {e}
+\cs_generate_variant:Nn\pdfmeta_xmp_add_declaration:nnnnn {e,eee}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsection{Default declarations}
+% The two declarations will be required quite often with ua-2, so we
+% provide some interface.
+
+% \begin{macro}{\@@_xmp_wtpdf_reuse_declaration:,\@@_xmp_wtpdf_accessibility_declaration:}
+% \begin{macrocode}
+\cs_new:Npn \@@_xmp_iso_today:
+ {
+ \int_use:N\c_sys_year_int-
+ \int_compare:nNnT {\c_sys_month_int} < {10}{0} \int_use:N\c_sys_month_int -
+ \int_compare:nNnT {\c_sys_day_int} < {10}{0} \int_use:N\c_sys_day_int
+ }
+\cs_new_protected:Npn \@@_xmp_wtpdf_reuse_declaration:
+ {
+ \pdfmeta_xmp_add_declaration:eeenn
+ {http://pdfa.org/declarations\c_hash_str wtpdf-reuse1.0}
+ {LaTeX~Project}
+ {\@@_xmp_iso_today:}{}{}
+ }
+\cs_new_protected:Npn \@@_xmp_wtpdf_accessibility_declaration:
+ {
+ \pdfmeta_xmp_add_declaration:ennnn
+ {http://pdfa.org/declarations\c_hash_str wtpdf-accessibility1.0}
+ {LaTeX~Project}
+ {\@@_xmp_iso_today:}{}{}
+ }
% \end{macrocode}
% \end{macro}
%
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdfmeta.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3pdfmeta.pdf
index 2e988a5912..f722fe08d4 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdfmeta.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdfmeta.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdftools.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3pdftools.dtx
index d90a102980..d13742b372 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdftools.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdftools.dtx
@@ -49,7 +49,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
@@ -231,7 +231,7 @@
%
% \begin{macrocode}
%<*header>
-\ProvidesExplPackage{l3pdftools}{2024-03-01}{0.96f}
+\ProvidesExplPackage{l3pdftools}{2024-03-26}{0.96g}
{candidate commands for l3pdf---LaTeX PDF management testphase bundle}
%</header>
% \end{macrocode}
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdftools.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3pdftools.pdf
index af2a4d4365..2e472fead2 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdftools.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdftools.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdfxform.dtx b/macros/latex/contrib/pdfmanagement-testphase/l3pdfxform.dtx
index 80fbee142b..8d280dfc8c 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdfxform.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdfxform.dtx
@@ -48,7 +48,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
@@ -132,7 +132,7 @@
% \begin{macrocode}
%<@@=pdf>
%<*header>
-\ProvidesExplPackage{l3pdfxform}{2024-03-01}{0.96f}
+\ProvidesExplPackage{l3pdfxform}{2024-03-26}{0.96g}
{command to create xforms (beta)---LaTeX PDF management testphase bundle}
%</header>
% \end{macrocode}
diff --git a/macros/latex/contrib/pdfmanagement-testphase/l3pdfxform.pdf b/macros/latex/contrib/pdfmanagement-testphase/l3pdfxform.pdf
index 0025fa9270..cd9a1227c0 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/l3pdfxform.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/l3pdfxform.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/ltdocinit.dtx b/macros/latex/contrib/pdfmanagement-testphase/ltdocinit.dtx
index 799222500a..806ea3124b 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/ltdocinit.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/ltdocinit.dtx
@@ -47,7 +47,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
@@ -220,7 +220,7 @@
% \begin{macrocode}
%<@@=pdfmanagement>
%<*header>
-\ProvidesExplPackage{ltdocinit}{2024-03-01}{0.96f}
+\ProvidesExplPackage{ltdocinit}{2024-03-26}{0.96g}
{Initialize document metadata}
%</header>
% \end{macrocode}
diff --git a/macros/latex/contrib/pdfmanagement-testphase/ltdocinit.pdf b/macros/latex/contrib/pdfmanagement-testphase/ltdocinit.pdf
index 0fe70bd6bd..8b86d10d73 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/ltdocinit.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/ltdocinit.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-firstaid.dtx b/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-firstaid.dtx
index 04bb26772e..6c186f33bf 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-firstaid.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-firstaid.dtx
@@ -47,7 +47,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
@@ -63,13 +63,12 @@
% |debug={firstaidoff={name1,name2,...},...}|.
% \begin{macrocode}
%<*package>
-\ProvidesExplPackage{pdfmanagement-firstaid}{2024-03-01}{0.96f}
+\ProvidesExplPackage{pdfmanagement-firstaid}{2024-03-26}{0.96g}
{LaTeX PDF management testphase bundle / firstaid-patches}
%<@@=pdfmanagement>
\clist_map_inline:nn
- {pgf,transparent,xmp,pdflscape,xcolor,color,
- beamer,output,colorspace,fontspec,luacolor}
+ {pgf,xmp,xcolor,color,output,colorspace,luacolor}
{
\bool_new:c { g_@@_firstaid_#1_bool }
\bool_gset_true:c { g_@@_firstaid_#1_bool }
@@ -93,93 +92,6 @@
Get~at~least~version~#2.}
% \end{macrocode}
-% \subsection{Fontspec}
-% When using luaLaTeX opacity is broken (issue \#30) as
-% fontspec/luaotfload doesn't use the pdfmanagement but write to ExtGState directly
-% To repair this some new lua code is needed. It also needs a new fontspec
-% and a change in the color key.
-% \begin{macrocode}
-\sys_if_engine_luatex:T
- {
- \bool_if:NT \g_@@_firstaid_fontspec_bool
- {
- \AddToHook{package/fontspec/after}
- {
- \@ifpackagelater{fontspec}{2023-11-05}
- {\typeout{PDF~Management:~fontspec~firstaid~ignored}}
- {
- \def\c__fontspec_opacity_tl{}
- \__fontspec_keys_define_code:nnn {fontspec} {Color}
- {
- \color_if_exist:nTF {#1}
- {
- \tl_set:Nn \l__fontspec_hexcol_tl {#1}
- }
- {
- \cs_if_exist:cTF { \token_to_str:N \color@ #1 }
- {
- \convertcolorspec{named}{#1}{HTML}\l__fontspec_hexcol_tl
- }
- {
- \int_compare:nTF { \tl_count:n {#1} == 6 }
- { \tl_set:Nn \l__fontspec_hexcol_tl {#1} }
- {
- \int_compare:nTF { \tl_count:n {#1} == 8 }
- { \fontspec_parse_colour:viii #1 }
- {
- \bool_if:NF \l__fontspec_firsttime_bool
- { \__fontspec_warning:nx {bad-colour} {#1} }
- }
- }
- }
- }
- }
-% \end{macrocode}
-% add a comma
-% \begin{macrocode}
- \__fontspec_keys_define_code:nnn {fontspec} {Opacity}
- {
- \int_set:Nn \l__fontspec_tmp_int {255}
- \__fontspec_int_mult_truncate:Nn \l__fontspec_tmp_int { #1 }
- \tl_if_eq:NNF \l__fontspec_opacity_tl \c__fontspec_opacity_tl
- {
- \bool_if:NF \l__fontspec_firsttime_bool
- { \__fontspec_warning:nx {opa-twice} {#1} }
- }
- \tl_set:Nx \l__fontspec_opacity_tl
- {
- ,
- \int_compare:nT { \l__fontspec_tmp_int <= "F } {0} % zero pad
- \int_to_hex:n { \l__fontspec_tmp_int }
- }
- }
-% \end{macrocode}
-% and a brace
-% \begin{macrocode}
- \cs_set:Nn \__fontspec_get_features:n
- {
- \__fontspec_init_fontface:
- \__fontspec_keys_set_known:nxN {fontspec-renderer} {\l__fontspec_fontfeat_clist,#1}
- \l__fontspec_keys_leftover_clist
- \__fontspec_keys_set_known:nxN {fontspec} {\l__fontspec_keys_leftover_clist} \l__fontspec_keys_leftover_clist
- \keys_set:nV {fontspec-opentype} \l__fontspec_keys_leftover_clist
-
- \tl_if_empty:NF \l__fontspec_mapping_tl
- { \__fontspec_update_featstr:n { mapping = \l__fontspec_mapping_tl } }
-
- \str_if_eq:eeF { \l__fontspec_hexcol_tl \l__fontspec_opacity_tl }
- { \c__fontspec_hexcol_tl \c__fontspec_opacity_tl }
- { \__fontspec_update_featstr:n { color = {\l__fontspec_hexcol_tl\l__fontspec_opacity_tl } } }
- }
- }
- }
- }
- }
-% \end{macrocode}
-
-% \subsection{\pkg{beamer}}
-% \pkg{beamer} made use of the now unsupported syntax |linkbordercolor={.5 .5 .5}|.
-% This has been changed so the patch has been removed.
%
% \subsection{\pkg{color}}
%
@@ -396,38 +308,6 @@
}
% \end{macrocode}
-% \subsection{\pkg{transparent}}
-% We check if the new version is used and issue a warning otherwise
-% \begin{macrocode}
-\bool_if:NT \g_@@_firstaid_transparent_bool
- {
- \AddToHook{package/transparent/after}
- {
- \@ifpackagelater{transparent}{2022-10-27}{}
- {
- \msg_warning:nnnn{pdfmanagement}{firstaid-too-old}
- {transparent}
- {1.5~from~2022-10-27}
- }
- }
- }
-% \end{macrocode}
-% \subsection{\pkg{pdflscape}}
-% We check if the new version is used and issue a warning otherwise
-% \begin{macrocode}
-\bool_if:NT \g_@@_firstaid_pdflscape_bool
- {
- \AddToHook{package/pdflscape/after}
- {
- \@ifpackagelater{pdflscape}{2022-10-27}{}
- {
- \msg_warning:nnnn{pdfmanagement}{firstaid-too-old}
- {pdflscape}
- {0.13~from~2022-10-27}
- }
- }
- }
-% \end{macrocode}
%
% \subsection{xmp}
% This handles the new xmp code.
diff --git a/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-firstaid.pdf b/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-firstaid.pdf
index b07c412140..2e67c2b2db 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-firstaid.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-firstaid.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-testphase.dtx b/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-testphase.dtx
index b04d33035a..205bfd8eb1 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-testphase.dtx
+++ b/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-testphase.dtx
@@ -47,7 +47,7 @@
% }^^A
% }
%
-% \date{Version 0.96f, released 2024-03-01}
+% \date{Version 0.96g, released 2024-03-26}
%
% \maketitle
% \begin{documentation}
@@ -394,7 +394,7 @@
% \begin{macrocode}
%<@@=pdf>
%<*package>
-\ProvidesExplPackage{pdfmanagement-testphase}{2024-03-01}{0.96f}
+\ProvidesExplPackage{pdfmanagement-testphase}{2024-03-26}{0.96g}
{LaTeX PDF management testphase bundle}
\providecommand\IfFormatAtLeastTF{\@ifl@t@r\fmtversion}
\IfFormatAtLeastTF{2020-10-01}{}{
@@ -422,7 +422,7 @@
% to allow to set it in the document.
% \begin{macrocode}
%<*header>
-\ProvidesExplFile{pdfmanagement-testphase.ltx}{2024-03-01}{0.96f}
+\ProvidesExplFile{pdfmanagement-testphase.ltx}{2024-03-26}{0.96g}
{PDF~management~code~(testphase)}
% \end{macrocode}
% We define a boolean for the new delayed shipout. This is temporary. At some
diff --git a/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-testphase.pdf b/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-testphase.pdf
index 56bc534e9c..19233b91f6 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-testphase.pdf
+++ b/macros/latex/contrib/pdfmanagement-testphase/pdfmanagement-testphase.pdf
Binary files differ
diff --git a/macros/latex/contrib/pdfmanagement-testphase/xcolor-patches-tmp-ltx.sty b/macros/latex/contrib/pdfmanagement-testphase/xcolor-patches-tmp-ltx.sty
index d96cdbca1d..40911ab8d7 100644
--- a/macros/latex/contrib/pdfmanagement-testphase/xcolor-patches-tmp-ltx.sty
+++ b/macros/latex/contrib/pdfmanagement-testphase/xcolor-patches-tmp-ltx.sty
@@ -1,6 +1,6 @@
%% LaTeX2e file `xcolor-patches-tmp-ltx.sty'
%%
-\ProvidesPackage{xcolor-patches-tmp-ltx}[2024-03-01 v0.96f patch xcolor for l3color]
+\ProvidesPackage{xcolor-patches-tmp-ltx}[2024-03-26 v0.96g patch xcolor for l3color]
\@ifundefined{color_set:nn}{\RequirePackage{l3color}}{}
\ExplSyntaxOn
diff --git a/macros/latex/contrib/tagpdf/README.md b/macros/latex/contrib/tagpdf/README.md
index 9f79f1623f..2dd2455fcf 100644
--- a/macros/latex/contrib/tagpdf/README.md
+++ b/macros/latex/contrib/tagpdf/README.md
@@ -1,6 +1,6 @@
#tagpdf — A package to create tagged pdf
-Packageversion: 0.98x
-Packagedate: 2024/02/29
+Packageversion: 0.99a
+Packagedate: 2024/03/27
Author: Ulrike Fischer, LaTeX Project Team
## License
diff --git a/macros/latex/contrib/tagpdf/ex-AF-file.pdf b/macros/latex/contrib/tagpdf/ex-AF-file.pdf
index 8c99d4f104..d60ba4c719 100644
--- a/macros/latex/contrib/tagpdf/ex-AF-file.pdf
+++ b/macros/latex/contrib/tagpdf/ex-AF-file.pdf
@@ -1,36 +1,36 @@
%PDF-2.0
%ÌÕÁÔÅØÐÄÆ
22 0 obj
-<< /Subtype /application#2Fx-tex/Type /EmbeddedFile /Params<</ModDate (D:20240229165659+01'00') /Size 151 /CheckSum (495A2D9D94E80EE3D64D9E324C0E628E) >> /Length 151 >>
+<< /Subtype /application#2Fx-tex/Type /EmbeddedFile /Params<</ModDate (D:20240326123706+01'00') /Size 151 /CheckSum (9652490C9033E26580AB6BA3F517B009) >> /Length 151 >>
stream
%% LaTeX2e file `example-input-file.tex'
%% generated by the `filecontents' environment
-%% from source `ex-AF-file' on 2024/02/29.
+%% from source `ex-AF-file' on 2024/03/26.
%%
Additional info!
endstream
endobj
23 0 obj
-<< /Type /Filespec /AFRelationship /Unspecified /F <FEFF006500780061006D0070006C0065002D0069006E007000750074002D00660069006C0065002E007400650078> /UF <FEFF006500780061006D0070006C0065002D0069006E007000750074002D00660069006C0065002E007400650078> /EF<</F 22 0 R/UF 22 0 R>> >>
+<< /Type /Filespec /AFRelationship /Unspecified /F (example-input-file.tex) /UF <FEFF006500780061006D0070006C0065002D0069006E007000750074002D00660069006C0065002E007400650078> /EF<</F 22 0 R/UF 22 0 R>> >>
endobj
25 0 obj
-<< /Subtype /text#2Fplain/Type /EmbeddedFile /Params<</ModDate (D:20240229) >> /Length 19 >>
+<< /Subtype /text#2Fplain/Type /EmbeddedFile /Params<</ModDate (D:20240326) >> /Length 19 >>
stream
Bär with teh shirt
endstream
endobj
26 0 obj
-<< /Type /Filespec /AFRelationship /Supplement /F <FEFF007400610067002D0041004600660069006C00650031002E007400780074> /UF <FEFF007400610067002D0041004600660069006C00650031002E007400780074> /EF<</F 25 0 R/UF 25 0 R>> >>
+<< /Type /Filespec /AFRelationship /Supplement /F (tag-AFfile1.txt) /UF <FEFF007400610067002D0041004600660069006C00650031002E007400780074> /EF<</F 25 0 R/UF 25 0 R>> >>
endobj
28 0 obj
-<< /Subtype /text#2Fplain/Type /EmbeddedFile /Params<</ModDate (D:20240229) >> /Length 4 >>
+<< /Subtype /text#2Fplain/Type /EmbeddedFile /Params<</ModDate (D:20240326) >> /Length 4 >>
stream
Duck
endstream
endobj
29 0 obj
-<< /Type /Filespec /AFRelationship /Supplement /F <FEFF007400610067002D0041004600660069006C00650032002E007400780074> /UF <FEFF007400610067002D0041004600660069006C00650032002E007400780074> /EF<</F 28 0 R/UF 28 0 R>> >>
+<< /Type /Filespec /AFRelationship /Supplement /F (tag-AFfile2.txt) /UF <FEFF007400610067002D0041004600660069006C00650032002E007400780074> /EF<</F 28 0 R/UF 28 0 R>> >>
endobj
31 0 obj
<< /Type /Metadata /Subtype /XML /Length 11382 >>
@@ -228,7 +228,7 @@ stream
</rdf:li>
</rdf:Bag>
</pdfaExtension:schemas>
- <pdf:Producer>luahbtex-1.17.0</pdf:Producer>
+ <pdf:Producer>luahbtex-1.18.0</pdf:Producer>
<pdf:PDFVersion>2.0</pdf:PDFVersion>
<dc:type>
<rdf:Bag>
@@ -242,17 +242,17 @@ stream
</dc:language>
<dc:date>
<rdf:Seq>
- <rdf:li>2024-02-29T16:57:20+01:00</rdf:li>
+ <rdf:li>2024-03-26T12:37:25+01:00</rdf:li>
</rdf:Seq>
</dc:date>
<dc:format>application/pdf</dc:format>
<dc:source>ex-AF-file.tex</dc:source>
<xmp:CreatorTool>LaTeX</xmp:CreatorTool>
- <xmp:CreateDate>2024-02-29T16:57:20+01:00</xmp:CreateDate>
- <xmp:ModifyDate>2024-02-29T16:57:20+01:00</xmp:ModifyDate>
- <xmp:MetadataDate>2024-02-29T16:57:20+01:00</xmp:MetadataDate>
+ <xmp:CreateDate>2024-03-26T12:37:25+01:00</xmp:CreateDate>
+ <xmp:ModifyDate>2024-03-26T12:37:25+01:00</xmp:ModifyDate>
+ <xmp:MetadataDate>2024-03-26T12:37:25+01:00</xmp:MetadataDate>
<xmpMM:DocumentID>uuid:38d5a844-2217-4081-87cc-b2129dc357a6</xmpMM:DocumentID>
- <xmpMM:InstanceID>uuid:a7d1af3c-32df-45aa-8920-ce87378d2633</xmpMM:InstanceID>
+ <xmpMM:InstanceID>uuid:ad44a459-698d-4e23-82da-7687a47c02a1</xmpMM:InstanceID>
<prism:complianceProfile>three</prism:complianceProfile>
<prism:pageCount>1</prism:pageCount>
</rdf:Description>
@@ -347,25 +347,25 @@ endobj
<< /Type /Namespace /NS (https://www.latex-project.org/ns/book/2022) /RoleMapNS 18 0 R >>
endobj
19 0 obj
-<< /Type /Namespace /NS (data:,DEBE37CF-E291-AA2B-9859-8F75D4B0C463) >>
+<< /Type /Namespace /NS (data:,1E5AC41C-2554-3F25-6E65-E30725E676D0) >>
endobj
8 0 obj
[ 9 0 R 11 0 R 13 0 R 15 0 R 17 0 R 19 0 R ]
endobj
21 0 obj
-<< /Type /StructElem /S /Document /P 5 0 R /K [24 0 R 27 0 R 30 0 R] /NS 11 0 R /ID (ID.01) >>
+<< /Type /StructElem /S /Document /NS 11 0 R /P 5 0 R /K [24 0 R 27 0 R 30 0 R] /ID (ID.01) >>
endobj
24 0 obj
-<< /Type /StructElem /S /P /P 21 0 R /K <</Type /MCR /Pg 33 0 R /MCID 0>> /AF [26 0 R] /NS 11 0 R /ID (ID.02) >>
+<< /Type /StructElem /AF [26 0 R] /S /P /NS 11 0 R /P 21 0 R /K <</Type /MCR /Pg 33 0 R /MCID 0>> /ID (ID.02) >>
endobj
27 0 obj
-<< /Type /StructElem /S /P /P 21 0 R /K <</Type /MCR /Pg 33 0 R /MCID 1>> /AF [29 0 R] /NS 11 0 R /ID (ID.03) >>
+<< /Type /StructElem /AF [29 0 R] /S /P /NS 11 0 R /P 21 0 R /K <</Type /MCR /Pg 33 0 R /MCID 1>> /ID (ID.03) >>
endobj
30 0 obj
-<< /Type /StructElem /S /P /P 21 0 R /K <</Type /MCR /Pg 33 0 R /MCID 2>> /AF [23 0 R] /NS 11 0 R /ID (ID.04) >>
+<< /Type /StructElem /AF [23 0 R] /S /P /NS 11 0 R /P 21 0 R /K <</Type /MCR /Pg 33 0 R /MCID 2>> /ID (ID.04) >>
endobj
5 0 obj
-<< /Type /StructTreeRoot /K 21 0 R /IDTree 39 0 R /ParentTree 6 0 R /RoleMap 7 0 R /Namespaces 8 0 R >>
+<< /Type /StructTreeRoot /Namespaces 8 0 R /IDTree 39 0 R /ParentTree 6 0 R /RoleMap 7 0 R /K 21 0 R >>
endobj
40 0 obj
[ 28 [ 500 ] 49 [ 681 444 ] 63 [ 556 ] 66 [ 278 ] 72 [ 278 ] 75 [ 833 ] 77 [ 556 ] 81 [ 500 ] 88 [ 278 ] 97 [ 556 ] 103 [ 333 ] 105 [ 389 ] 108 [ 750 556 ] 120 [ 444 ] ]
@@ -449,59 +449,59 @@ endobj
<< /Type /Catalog /Pages 36 0 R /MarkInfo 37 0 R/Lang (de-DE)/Metadata 31 0 R/StructTreeRoot 5 0 R >>
endobj
46 0 obj
-<< /Producer (luahbtex-1.17.0)/Creator (LaTeX)/CreationDate (D:20240229165720+01'00')/ModDate (D:20240229165720+01'00') /Trapped /False /PTEX.FullBanner (This is LuaHBTeX, Version 1.17.0 (TeX Live 2023)) >>
+<< /Producer (luahbtex-1.18.0)/Creator (LaTeX)/CreationDate (D:20240326123725+01'00')/ModDate (D:20240326123725+01'00') /Trapped /False /PTEX.FullBanner (This is LuaHBTeX, Version 1.18.0 (TeX Live 2024)) >>
endobj
xref
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+<< /Type /StructElem /C /justify /S /text /NS 15 0 R /P 24 0 R /K <</Type /MCR /Pg 28 0 R /MCID 0>> /ID (ID.05) >>
endobj
5 0 obj
-<< /Type /StructTreeRoot /K 21 0 R /IDTree 34 0 R /ParentTree 6 0 R /RoleMap 7 0 R /ClassMap 35 0 R /Namespaces 8 0 R >>
+<< /Type /StructTreeRoot /Namespaces 8 0 R /IDTree 34 0 R /ClassMap 35 0 R /ParentTree 6 0 R /RoleMap 7 0 R /K 21 0 R >>
endobj
36 0 obj
[ 28 [ 500 ] 59 [ 500 ] 63 [ 556 ] 84 [ 556 ] 96 [ 392 ] 103 [ 333 ] ]
@@ -398,7 +399,7 @@ endobj
<< /Type /Catalog /Pages 31 0 R /MarkInfo 32 0 R/Lang (en-US)/Metadata 26 0 R/StructTreeRoot 5 0 R >>
endobj
42 0 obj
-<< /Producer (luahbtex-1.17.0)/Creator (LaTeX)/CreationDate (D:20240229170120+01'00')/ModDate (D:20240229170120+01'00') /Trapped /False /PTEX.FullBanner (This is LuaHBTeX, Version 1.17.0 (TeX Live 2023)) >>
+<< /Producer (luahbtex-1.18.0)/Creator (LaTeX)/CreationDate (D:20240326124103+01'00')/ModDate (D:20240326124103+01'00') /Trapped /False /PTEX.FullBanner (This is LuaHBTeX, Version 1.18.0 (TeX Live 2024)) >>
endobj
xref
0 43
@@ -407,46 +408,46 @@ xref
0000000003 00000 f
0000000004 00000 f
0000000010 00000 f
-0000014806 00000 n
+0000014807 00000 n
0000012015 00000 n
0000012225 00000 n
-0000014241 00000 n
-0000012867 00000 n
+0000014242 00000 n
+0000012868 00000 n
0000000012 00000 f
-0000012935 00000 n
+0000012936 00000 n
0000000014 00000 f
-0000013005 00000 n
+0000013006 00000 n
0000000020 00000 f
-0000013768 00000 n
-0000013086 00000 n
-0000014046 00000 n
-0000013875 00000 n
-0000014153 00000 n
+0000013769 00000 n
+0000013087 00000 n
+0000014047 00000 n
+0000013876 00000 n
+0000014154 00000 n
0000000000 00000 f
-0000014302 00000 n
-0000014399 00000 n
-0000014486 00000 n
-0000014573 00000 n
-0000014672 00000 n
+0000014303 00000 n
+0000014400 00000 n
+0000014487 00000 n
+0000014574 00000 n
+0000014673 00000 n
0000000020 00000 n
0000011869 00000 n
0000011734 00000 n
0000011500 00000 n
-0000017427 00000 n
-0000017781 00000 n
+0000017428 00000 n
+0000017782 00000 n
0000011979 00000 n
0000012056 00000 n
0000012188 00000 n
0000012804 00000 n
-0000014943 00000 n
-0000016384 00000 n
-0000015030 00000 n
-0000016605 00000 n
-0000017581 00000 n
-0000017843 00000 n
-0000017961 00000 n
+0000014944 00000 n
+0000016385 00000 n
+0000015031 00000 n
+0000016606 00000 n
+0000017582 00000 n
+0000017844 00000 n
+0000017962 00000 n
trailer
-<< /Size 43 /Root 41 0 R /Info 42 0 R /ID [ <AE9962F364939F85E535CAC1752834D1> <AE9962F364939F85E535CAC1752834D1> ] >>
+<< /Size 43 /Root 41 0 R /Info 42 0 R /ID [ <4E141C6BCFC9003D8E382C7DD3DAFCC7> <4E141C6BCFC9003D8E382C7DD3DAFCC7> ] >>
startxref
-18184
+18185
%%EOF
diff --git a/macros/latex/contrib/tagpdf/tagpdf-backend.dtx b/macros/latex/contrib/tagpdf/tagpdf-backend.dtx
index 7640251892..e15316252e 100644
--- a/macros/latex/contrib/tagpdf/tagpdf-backend.dtx
+++ b/macros/latex/contrib/tagpdf/tagpdf-backend.dtx
@@ -47,13 +47,13 @@
% }^^A
% }
%
-% \date{Version 0.98x, released 2024-02-29}
+% \date{Version 0.99a, released 2024-03-27}
% \maketitle
% \begin{implementation}
% \begin{macrocode}
%<@@=tag>
%<*luatex>
-\ProvidesExplFile {tagpdf-luatex.def} {2024-02-29} {0.98x}
+\ProvidesExplFile {tagpdf-luatex.def} {2024-03-27} {0.99a}
{tagpdf~driver~for~luatex}
% \end{macrocode}
% \section{Loading the lua}
@@ -164,8 +164,8 @@
local ProvidesLuaModule = {
name = "tagpdf",
- version = "0.98x", --TAGVERSION
- date = "2024-02-29", --TAGDATE
+ version = "0.99a", --TAGVERSION
+ date = "2024-03-27", --TAGDATE
description = "tagpdf lua code",
license = "The LATEX Project Public License 1.3c"
}
@@ -704,7 +704,7 @@ end
% TODO: is uses internal l3pdf commands, this should be properly supported by l3pdf
% \begin{macrocode}
local function @@_pdf_object_ref (name)
- local tokenname = 'c__pdf_backend_object_'..name..'_int'
+ local tokenname = 'c__pdf_object_'..name..'_int'
local object = token.create(tokenname).mode ..' 0 R'
return object
end
diff --git a/macros/latex/contrib/tagpdf/tagpdf-checks.dtx b/macros/latex/contrib/tagpdf/tagpdf-checks.dtx
index d92c8b36e5..63b0185c47 100644
--- a/macros/latex/contrib/tagpdf/tagpdf-checks.dtx
+++ b/macros/latex/contrib/tagpdf/tagpdf-checks.dtx
@@ -48,7 +48,7 @@
% }^^A
% }
%
-% \date{Version 0.98x, released 2024-02-29}
+% \date{Version 0.99a, released 2024-03-27}
% \maketitle
% \begin{documentation}
% \section{Commands}
@@ -295,7 +295,11 @@
% if there are (beside Root) other open structures on the stack.
% \end{function}
%
-
+% \begin{function}{tree-statistic}
+% Message issued at the end of the compilation
+% showing the number of objects to write
+% \end{function}
+%
% \begin{function}{show-struct,show-kids}
% These two messages are used in debug mode
% to show the current structures in the log and terminal.
@@ -327,7 +331,7 @@
% \begin{macrocode}
%<@@=tag>
%<*header>
-\ProvidesExplPackage {tagpdf-checks-code} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf-checks-code} {2024-03-27} {0.99a}
{part of tagpdf - code related to checks, conditionals, debugging and messages}
%</header>
% \end{macrocode}
@@ -461,6 +465,22 @@
The~structures~are~automatically~closed,\\
but~their~nesting~can~be~wrong.
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{tree-statistic}
+% Message issued at the end showing the estimated number of
+% structures and MC-childs
+% \begin{macrocode}
+\msg_new:nnn { tag } {tree-statistic}
+ {
+ Finalizing~the~tagging~structure:\\
+ Writing~out~\c_tilde_str
+ \int_use:N\c@g_@@_struct_abs_int\c_space_tl~structure~objects\\
+ with~\c_tilde_str
+ \int_use:N\c@g_@@_MCID_abs_int\c_space_tl'MC'~leaf~nodes.\\
+ Be~patient~if~there~are~lots~of~objects!
+ }
%</package>
% \end{macrocode}
% \end{macro}
@@ -1128,5 +1148,25 @@
% \begin{macrocode}
%</debug>
% \end{macrocode}
+%
+% \subsection{Benchmarks}
+% It doesn't make much sense to do benchmarks in debug mode or in combination
+% with a log-level as this would slow down the compilation.
+% So we add simple commands that can be activated if l3benchmark has been loaded.
+% TODO: is a warning needed?
+% \begin{macrocode}
+%<*package>
+\cs_new_protected:Npn \@@_check_benchmark_tic:{}
+\cs_new_protected:Npn \@@_check_benchmark_toc:{}
+\cs_new_protected:Npn \tag_check_benchmark_on:
+ {
+ \cs_if_exist:NT \benchmark_tic:
+ {
+ \cs_set_eq:NN \@@_check_benchmark_tic: \benchmark_tic:
+ \cs_set_eq:NN \@@_check_benchmark_toc: \benchmark_toc:
+ }
+ }
+%</package>
+% \end{macrocode}
% \end{implementation}
% \PrintIndex
diff --git a/macros/latex/contrib/tagpdf/tagpdf-code.pdf b/macros/latex/contrib/tagpdf/tagpdf-code.pdf
index 471cf17a79..ffb7984b16 100644
--- a/macros/latex/contrib/tagpdf/tagpdf-code.pdf
+++ b/macros/latex/contrib/tagpdf/tagpdf-code.pdf
Binary files differ
diff --git a/macros/latex/contrib/tagpdf/tagpdf-data.dtx b/macros/latex/contrib/tagpdf/tagpdf-data.dtx
index 70d71e4c57..fd99bcfdec 100644
--- a/macros/latex/contrib/tagpdf/tagpdf-data.dtx
+++ b/macros/latex/contrib/tagpdf/tagpdf-data.dtx
@@ -47,7 +47,7 @@
% }^^A
% }
%
-% \date{Version 0.98x, released 2024-02-29}
+% \date{Version 0.99a, released 2024-03-27}
% \maketitle
% \begin{documentation}
% This files contains a various data files which are read in
@@ -61,7 +61,7 @@
% latex-lab has also a namespace module, which takes precendence!
% \begin{macrocode}
%<*ns-latex>
-%% \ProvidesExplFile {tagpdf-ns-latex.def} {2024-02-29} {0.98x}
+%% \ProvidesExplFile {tagpdf-ns-latex.def} {2024-03-27} {0.99a}
%% {latex} {https://www.latex-project.org/ns/dflt/2022}{}
title, Title, pdf2,
part, Title, pdf2,
@@ -93,7 +93,7 @@ text, P, pdf2,
% It is bound to change
% \begin{macrocode}
%<*ns-latex-book>
-%% \ProvidesExplFile {tagpdf-ns-latex-book.def} {2024-02-29} {0.98x}
+%% \ProvidesExplFile {tagpdf-ns-latex-book.def} {2024-03-27} {0.99a}
%% {latex-book} {https://www.latex-project.org/ns/book/2022}{}
chapter, H1,pdf2,
section, H2,pdf2,
@@ -107,7 +107,7 @@ subparagraph, H6,pdf2,
% \section{The pdf namespace data}
% \begin{macrocode}
%<*ns-pdf>
-%% \ProvidesExplFile {tagpdf-ns-pdf.def} {2024-02-29} {0.98x}
+%% \ProvidesExplFile {tagpdf-ns-pdf.def} {2024-03-27} {0.99a}
%% {pdf} {http://iso.org/pdf/ssn}{}
StructTreeRoot,StructTreeRoot,pdf,D,
Document,Document,pdf,D,
@@ -175,7 +175,7 @@ Strong,Span,pdf,I,
% \section{The pdf 2.0 namespace data}
% \begin{macrocode}
%<*ns-pdf2>
-%% \ProvidesExplFile {tagpdf-ns-pdf2.def} {2024-02-29} {0.98x}
+%% \ProvidesExplFile {tagpdf-ns-pdf2.def} {2024-03-27} {0.99a}
%% {pdf2} {http://iso.org/pdf2/ssn}{}
StructTreeRoot,StructTreeRoot,pdf2,D,
Document,Document,pdf2,D,
@@ -232,7 +232,7 @@ Strong,Strong,pdf2,I,
% \section{The mathml namespace data}
% \begin{macrocode}
%<*ns-mathml>
-%% \ProvidesExplFile {tagpdf-ns-mathml.def} {2024-02-29} {0.98x}
+%% \ProvidesExplFile {tagpdf-ns-mathml.def} {2024-03-27} {0.99a}
% {mathml}{http://www.w3.org/1998/Math/MathML}{}
abs,abs,mathml,
and,and,mathml,
@@ -467,7 +467,7 @@ xor,xor,mathml,
% This will perhaps change in future.
% \begin{macrocode}
%<*parent-child>
-%% \ProvidesExplFile {tagpdf-parent-child.csv} {2024-02-29} {0.98x}
+%% \ProvidesExplFile {tagpdf-parent-child.csv} {2024-03-27} {0.99a}
,,,StructTreeRoot,Document,Art,Part,Div,Sect,BlockQuote,NonStruct,TOC,TOCI,Index,Private,Quote,Note,Reference,BibEntry,P,Hn,H,Lbl,Code,Span,Link,Annot,Form,Ruby,RB,RT,RP,Warichu,WT,WP,L,LI,LBody,Table,TR,TH,TD,THead,TBody,TFoot,Caption,Figure,Formula,MC
Document,both,document level,1,0..n,∅,‡,‡,∅,0..n,‡,∅,∅,∅,0..n,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅
Art,1.7,grouping,∅,0..n,∅,‡,‡,0..n,0..n,‡,∅,∅,∅,0..n,∅,0..n,∅,∅,∅,0..1,0..1,∅,∅,∅,0..n,0..n,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,0..n,∅,∅,0..n,0..n,∅,∅,∅,0..n,0..n,∅,∅
@@ -522,7 +522,7 @@ MC,both,---,∅,∅,∅,∅,∅,∅,0..n,‡,∅,∅,∅,0..n,0..n,0..n,0..n,0..
% This will perhaps change in future.
% \begin{macrocode}
%<*parent-child-2>
-%% \ProvidesExplFile {tagpdf-parent-child-2.csv} {2024-02-29} {0.98x}
+%% \ProvidesExplFile {tagpdf-parent-child-2.csv} {2024-03-27} {0.99a}
,,,StructTreeRoot,Document,DocumentFragment,Art,Part,Div,Sect,Aside,BlockQuote,NonStruct,TOC,TOCI,Index,Private,Title,Sub,Quote,Note,Reference,BibEntry,P,Hn,H,Lbl,Code,Em,Strong,Span,Link,Annot,Form,Ruby,RB,RT,RP,Warichu,WT,WP,FENote,L,LI,LBody,Table,TR,TH,TD,THead,TBody,TFoot,Caption,Figure,Formula,math,mathml,Artifact,MC
Document,both,document level,1,0..n,0..n,∅,‡,‡,∅,0..n,0..n,‡,∅,∅,∅,0..n,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,0..n,∅
DocumentFragment,2.0,document level,∅,0..n,0..n,0..n,‡,‡,0..n,0..n,0..n,‡,∅,∅,∅,0..n,∅,∅,∅,∅*,∅,∅,∅,∅,∅,∅,∅*,∅,∅,∅,∅*,∅*,∅,∅,∅,∅,∅,∅,∅,∅,∅*,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅,∅*,∅,∅,∅,∅,0..n,∅
diff --git a/macros/latex/contrib/tagpdf/tagpdf-mc-generic.dtx b/macros/latex/contrib/tagpdf/tagpdf-mc-generic.dtx
index 6254c52b54..e5477fe165 100644
--- a/macros/latex/contrib/tagpdf/tagpdf-mc-generic.dtx
+++ b/macros/latex/contrib/tagpdf/tagpdf-mc-generic.dtx
@@ -46,7 +46,7 @@
% }^^A
% }
%
-% \date{Version 0.98x, released 2024-02-29}
+% \date{Version 0.99a, released 2024-03-27}
% \maketitle
% \begin{documentation}
% \end{documentation}
@@ -55,11 +55,11 @@
% \begin{macrocode}
%<@@=tag>
%<*generic>
-\ProvidesExplPackage {tagpdf-mc-code-generic} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf-mc-code-generic} {2024-03-27} {0.99a}
{part of tagpdf - code related to marking chunks - generic mode}
%</generic>
%<*debug>
-\ProvidesExplPackage {tagpdf-debug-generic} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf-debug-generic} {2024-03-27} {0.99a}
{part of tagpdf - debugging code related to marking chunks - generic mode}
%</debug>
% \end{macrocode}
diff --git a/macros/latex/contrib/tagpdf/tagpdf-mc-luacode.dtx b/macros/latex/contrib/tagpdf/tagpdf-mc-luacode.dtx
index 14872c42e2..c3789356d9 100644
--- a/macros/latex/contrib/tagpdf/tagpdf-mc-luacode.dtx
+++ b/macros/latex/contrib/tagpdf/tagpdf-mc-luacode.dtx
@@ -46,7 +46,7 @@
% }^^A
% }
%
-% \date{Version 0.98x, released 2024-02-29}
+% \date{Version 0.99a, released 2024-03-27}
% \maketitle
% \begin{implementation}
% The code is splitted into three parts: code shared by all engines,
@@ -86,11 +86,11 @@
% \begin{macrocode}
%<@@=tag>
%<*luamode>
-\ProvidesExplPackage {tagpdf-mc-code-lua} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf-mc-code-lua} {2024-03-27} {0.99a}
{tagpdf - mc code only for the luamode }
%</luamode>
%<*debug>
-\ProvidesExplPackage {tagpdf-debug-lua} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf-debug-lua} {2024-03-27} {0.99a}
{part of tagpdf - debugging code related to marking chunks - lua mode}
%</debug>
% \end{macrocode}
diff --git a/macros/latex/contrib/tagpdf/tagpdf-mc-shared.dtx b/macros/latex/contrib/tagpdf/tagpdf-mc-shared.dtx
index 4f9d059c7d..54f5f2dca6 100644
--- a/macros/latex/contrib/tagpdf/tagpdf-mc-shared.dtx
+++ b/macros/latex/contrib/tagpdf/tagpdf-mc-shared.dtx
@@ -46,7 +46,7 @@
% }^^A
% }
%
-% \date{Version 0.98x, released 2024-02-29}
+% \date{Version 0.99a, released 2024-03-27}
% \maketitle
% \begin{documentation}
% \section{Public Commands}
@@ -181,7 +181,7 @@
% \begin{macrocode}
%<@@=tag>
%<*header>
-\ProvidesExplPackage {tagpdf-mc-code-shared} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf-mc-code-shared} {2024-03-27} {0.99a}
{part of tagpdf - code related to marking chunks -
code shared by generic and luamode }
%</header>
@@ -191,8 +191,8 @@
% MC chunks must be counted.
% I use a latex counter for the absolute count, so that it is added to
% |\cl@@ckpt| and restored e.g. in tabulars and align.
-% |\int_new:N \c@g_@@_MCID_int| and
-% |\tl_put_right:Nn\cl@@ckpt{\@elt{g_uf_test_int}}|
+% |\int_new:N \c@g_@@_MCID_abs_int| and
+% |\tl_put_right:Nn\cl@@ckpt{\@elt{g_@@_MCID_abs_int}}|
% would work too, but as the name is not expl3 then too, why bother?
% The absolute counter can be used to label and to check if the page
% counter needs a reset.
diff --git a/macros/latex/contrib/tagpdf/tagpdf-roles.dtx b/macros/latex/contrib/tagpdf/tagpdf-roles.dtx
index 6f48db87b1..77379192d5 100644
--- a/macros/latex/contrib/tagpdf/tagpdf-roles.dtx
+++ b/macros/latex/contrib/tagpdf/tagpdf-roles.dtx
@@ -46,7 +46,7 @@
% }^^A
% }
%
-% \date{Version 0.98x, released 2024-02-29}
+% \date{Version 0.99a, released 2024-03-27}
% \maketitle
% \begin{documentation}
% \begin{function}
@@ -98,7 +98,7 @@
% \begin{macrocode}
%<@@=tag>
%<*header>
-\ProvidesExplPackage {tagpdf-roles-code} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf-roles-code} {2024-03-27} {0.99a}
{part of tagpdf - code related to roles and structure names}
%</header>
% \end{macrocode}
diff --git a/macros/latex/contrib/tagpdf/tagpdf-space.dtx b/macros/latex/contrib/tagpdf/tagpdf-space.dtx
index fc0cdd8c75..16adb24051 100644
--- a/macros/latex/contrib/tagpdf/tagpdf-space.dtx
+++ b/macros/latex/contrib/tagpdf/tagpdf-space.dtx
@@ -46,7 +46,7 @@
% }^^A
% }
%
-% \date{Version 0.98x, released 2024-02-29}
+% \date{Version 0.99a, released 2024-03-27}
% \maketitle
% \begin{documentation}
% \begin{function}{activate/space (setup-key),interwordspace (deprecated)}
@@ -66,7 +66,7 @@
% \begin{macrocode}
%<@@=tag>
%<*header>
-\ProvidesExplPackage {tagpdf-space-code} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf-space-code} {2024-03-27} {0.99a}
{part of tagpdf - code related to real space chars}
%</header>
% \end{macrocode}
diff --git a/macros/latex/contrib/tagpdf/tagpdf-struct.dtx b/macros/latex/contrib/tagpdf/tagpdf-struct.dtx
index 64bd8f4c56..8b1a9555d5 100644
--- a/macros/latex/contrib/tagpdf/tagpdf-struct.dtx
+++ b/macros/latex/contrib/tagpdf/tagpdf-struct.dtx
@@ -46,7 +46,7 @@
% }^^A
% }
%
-% \date{Version 0.98x, released 2024-02-29}
+% \date{Version 0.99a, released 2024-03-27}
% \maketitle
% \begin{documentation}
% \section{Public Commands}
@@ -285,7 +285,7 @@
% \begin{macrocode}
%<@@=tag>
%<*header>
-\ProvidesExplPackage {tagpdf-struct-code} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf-struct-code} {2024-03-27} {0.99a}
{part of tagpdf - code related to storing structure}
%</header>
% \end{macrocode}
@@ -791,14 +791,14 @@
% break into two or more mcid. In this case the lua code has to convert
% put the dictionary of the kid into an array. See issue 13 at tagpdf repo.
% We exchange the dummy command for the kids to mark this case.
+% Change 2024-03-19: don't use a regex - that is slow.
% \begin{macrocode}
\cs_new_protected:Npn\@@_struct_exchange_kid_command:N #1 %#1 = seq var
{
\seq_gpop_left:NN #1 \l_@@_tmpa_tl
- \regex_replace_once:nnN
- { \c{\@@_mc_insert_mcid_kids:n} }
- { \c{\@@_mc_insert_mcid_single_kids:n} }
- \l_@@_tmpa_tl
+ \tl_replace_once:Nnn \l_@@_tmpa_tl
+ {\@@_mc_insert_mcid_kids:n}
+ {\@@_mc_insert_mcid_single_kids:n}
\seq_gput_left:NV #1 \l_@@_tmpa_tl
}
@@ -900,49 +900,41 @@
% \begin{macro}{\@@_struct_get_dict_content:nN}
% This maps the dictionary content of a structure into a tl-var.
% Basically it does what |\pdfdict_use:n| does.
-% TODO!! this looks over-complicated. Check if it can be done with pdfdict now.
+% This is used a lot so should be rather fast.
% \begin{macrocode}
\cs_new_protected:Npn \@@_struct_get_dict_content:nN #1 #2 %#1: stucture num
{
\tl_clear:N #2
- \seq_map_inline:cn
+ \prop_map_inline:cn { g_@@_struct_#1_prop }
{
- c_@@_struct_
- \int_compare:nNnTF{#1}={0}{StructTreeRoot}{StructElem}
- _entries_seq
- }
- {
- \tl_put_right:Ne
- #2
+ \tl_put_right:Ne #2
{
- \prop_if_in:cnT
- { g_@@_struct_#1_prop }
- { ##1 }
- {
- \c_space_tl/##1~
-% \end{macrocode}
-% Some keys needs the option to format the key, e.g. add brackets for an
-% array
-% \begin{macrocode}
- \cs_if_exist_use:cTF {@@_struct_format_##1:e}
- {
- { \prop_item:cn{ g_@@_struct_#1_prop } { ##1 } }
- }
- {
- \prop_item:cn{ g_@@_struct_#1_prop } { ##1 }
- }
- }
+% \end{macrocode}
+% Some keys needs the option to format the value, e.g. add brackets for an
+% array, we also need the option to ignore some entries in the properties.
+% \begin{macrocode}
+ \cs_if_exist_use:cTF {@@_struct_format_##1:nn}
+ {{##1}{##2}}
+ {\c_space_tl/##1~##2}
}
}
}
% \end{macrocode}
% \end{macro}
-% \begin{macro}{\@@_struct_format_Ref:n}
+%
+% \begin{macro}{\@@_struct_format_rolemap:nn,\@@_struct_format_parentrole:nn}
+% This two entries should not end in the PDF.
+% \begin{macrocode}
+\cs_new:Nn\@@_struct_format_rolemap:nn{}
+\cs_new:Nn\@@_struct_format_parentrole:nn{}
+% \end{macrocode}
+% \end{macro}
+
+% \begin{macro}{\@@_struct_format_Ref:nn}
% Ref is an array, we store only the content to be able to extend it
% so the formatting command adds the brackets:
% \begin{macrocode}
-\cs_new:Nn\__tag_struct_format_Ref:n{[#1]}
-\cs_generate_variant:Nn\__tag_struct_format_Ref:n{e}
+\cs_new:Nn\__tag_struct_format_Ref:nn{\c_space_tl/#1~[#2]}
% \end{macrocode}
% \end{macro}
% \begin{macro}{\@@_struct_write_obj:n}
@@ -1433,11 +1425,17 @@
}
},
}
-%</package>
% \end{macrocode}
% \end{macro}
% \section{User commands}
-%
+% We allow to set a language by default
+% \begin{macro}{\l_@@_struct_lang_tl}
+% \begin{macrocode}
+\tl_new:N \l_@@_struct_lang_tl
+%</package>
+% \end{macrocode}
+% \end{macro}
+%
% \begin{macro}{\tag_struct_begin:n,\tag_struct_end:}
% \begin{macrocode}
%<base>\cs_new_protected:Npn \tag_struct_begin:n #1 {\int_gincr:N \c@g_@@_struct_abs_int}
@@ -1464,6 +1462,18 @@
{ \int_use:N \c@g_@@_struct_abs_int }
{ Type }
{ /StructElem }
+ \tl_if_empty:NF \l_@@_struct_lang_tl
+ {
+ \@@_struct_prop_gput:nne
+ { \int_use:N \c@g_@@_struct_abs_int }
+ { Lang }
+ { (\l_@@_struct_lang_tl) }
+ }
+ \@@_struct_prop_gput:nnn
+ { \int_use:N \c@g_@@_struct_abs_int }
+ { Type }
+ { /StructElem }
+
\tl_set:Nn \l_@@_struct_stack_parent_tmpa_tl {-1}
\keys_set:nn { @@ / struct} { #1 }
% \end{macrocode}
@@ -1626,7 +1636,7 @@
%<debug> {no~parent:~stashed}
%<debug> {
%<debug> parent~structure:~\l_@@_struct_stack_parent_tmpa_tl\c_space_tl =~
-%<debug> \l_@@_get_parent_tmpa_tl
+%<debug> \prop_item:cn{ g__tag_struct_\l_@@_struct_stack_parent_tmpa_tl _prop }{S}
%<debug> }
%<debug> }
%<debug> \prop_gput:cne
@@ -1928,7 +1938,7 @@
% \section{Attributes and attribute classes}
% \begin{macrocode}
%<*header>
-\ProvidesExplPackage {tagpdf-attr-code} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf-attr-code} {2024-03-27} {0.99a}
{part of tagpdf - code related to attributes and attribute classes}
%</header>
% \end{macrocode}
@@ -1936,12 +1946,12 @@
% \begin{variable}
% {
% ,\g_@@_attr_entries_prop
-% ,\g_@@_attr_class_used_seq
+% ,\g_@@_attr_class_used_prop
% ,\g_@@_attr_objref_prop
% ,\l_@@_attr_value_tl
% }
% |\g_@@_attr_entries_prop| will store attribute names and their dictionary content.\\
-% |\g_@@_attr_class_used_seq| will hold the attributes which have been used as
+% |\g_@@_attr_class_used_prop| will hold the attributes which have been used as
% class name.
% |\l_@@_attr_value_tl| is used to build the attribute array or key.
% Every time an attribute is used for the first time, and object is created
@@ -1950,10 +1960,14 @@
% \begin{macrocode}
%<*package>
\prop_new:N \g_@@_attr_entries_prop
-\seq_new:N \g_@@_attr_class_used_seq
+\prop_new_linked:N \g_@@_attr_class_used_prop
\tl_new:N \l_@@_attr_value_tl
\prop_new:N \g_@@_attr_objref_prop %will contain obj num of used attributes
% \end{macrocode}
+% This seq is currently kept for compability with the table code.
+% \begin{macrocode}
+\seq_new:N\g_@@_attr_class_used_seq
+% \end{macrocode}
% \end{variable}
% \subsection{Commands and keys}
% \begin{macro}{\@@_attr_new_entry:nn,role/new-attribute (setup-key), newattribute (deprecated)}
@@ -2022,7 +2036,7 @@
{
\msg_error:nnn { tag } { attr-unknown } { ##1 }
}
- \seq_gput_left:Nn\g_@@_attr_class_used_seq { ##1}
+ \prop_gput:Nnn\g_@@_attr_class_used_prop { ##1} {}
}
\tl_set:Ne \l_@@_tmpa_tl
{
diff --git a/macros/latex/contrib/tagpdf/tagpdf-tree.dtx b/macros/latex/contrib/tagpdf/tagpdf-tree.dtx
index 36d9e74cbf..bfcbd6b6c9 100644
--- a/macros/latex/contrib/tagpdf/tagpdf-tree.dtx
+++ b/macros/latex/contrib/tagpdf/tagpdf-tree.dtx
@@ -47,13 +47,13 @@
% }^^A
% }
%
-% \date{Version 0.98x, released 2024-02-29}
+% \date{Version 0.99a, released 2024-03-27}
% \maketitle
% \begin{implementation}
% \begin{macrocode}
%<@@=tag>
%<*header>
-\ProvidesExplPackage {tagpdf-tree-code} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf-tree-code} {2024-03-27} {0.99a}
{part of tagpdf - code related to writing trees and dictionaries to the pdf}
%</header>
% \end{macrocode}
@@ -92,6 +92,7 @@
\int_step_inline:nnn{2}{\seq_count:N\g_@@_struct_stack_seq}
{\tag_struct_end:}
}
+ \msg_note:nn {tag}{tree-statistic}
}
% \end{macrocode}
% \end{macro}
@@ -265,7 +266,8 @@
{ g_@@_struct_0_prop }
{ RoleMap }
{ \pdf_object_ref:n { @@/tree/rolemap } }
- \@@_struct_fill_kid_key:n { 0 }
+ \@@_struct_fill_kid_key:n { 0 }
+ \prop_gremove:cn { g_@@_struct_0_prop } {S}
\@@_struct_get_dict_content:nN { 0 } \l_@@_tmpa_tl
\pdf_object_write:nne
{ @@/struct/0 }
@@ -503,22 +505,27 @@
\cs_new_protected:Npn \@@_tree_write_classmap:
{
\tl_clear:N \l_@@_tmpa_tl
- \seq_gremove_duplicates:N \g_@@_attr_class_used_seq
- \seq_set_map:NNn \l_@@_tmpa_seq \g_@@_attr_class_used_seq
- {
- ##1\c_space_tl
- <<
- \prop_item:Nn
+% \end{macrocode}
+% We process the older sec for compability with the table code.
+% TODO: check if still needed
+% \begin{macrocode}
+ \seq_map_inline:Nn \g_@@_attr_class_used_seq
+ {
+ \prop_gput:Nnn \g_@@_attr_class_used_prop {##1}{}
+ }
+ \prop_map_inline:Nn \g_@@_attr_class_used_prop
+ {
+ \tl_put_right:Ne \l_@@_tmpa_tl
+ {
+ ##1\c_space_tl
+ <<
+ \prop_item:Nn
\g_@@_attr_entries_prop
{##1}
- >>
- }
- \tl_set:Ne \l_@@_tmpa_tl
- {
- \seq_use:Nn
- \l_@@_tmpa_seq
- { \iow_newline: }
- }
+ >>
+ \iow_newline:
+ }
+ }
\tl_if_empty:NF
\l_@@_tmpa_tl
{
@@ -585,15 +592,37 @@
{
\hook_use:n {tagpdf/finish/before}
\@@_tree_final_checks:
+ \iow_term:n{Package~tagpdf~Info:~writing~ParentTree}
+ \@@_check_benchmark_tic:
\@@_tree_write_parenttree:
+ \@@_check_benchmark_toc:
+ \iow_term:n{Package~tagpdf~Info:~writing~IDTree}
+ \@@_check_benchmark_tic:
\@@_tree_write_idtree:
+ \@@_check_benchmark_toc:
+ \iow_term:n{Package~tagpdf~Info:~writing~RoleMap}
+ \@@_check_benchmark_tic:
\@@_tree_write_rolemap:
+ \@@_check_benchmark_toc:
+ \iow_term:n{Package~tagpdf~Info:~writing~ClassMap}
+ \@@_check_benchmark_tic:
\@@_tree_write_classmap:
+ \@@_check_benchmark_toc:
+ \iow_term:n{Package~tagpdf~Info:~writing~NameSpaces}
+ \@@_check_benchmark_tic:
\@@_tree_write_namespaces:
+ \@@_check_benchmark_toc:
+ \iow_term:n{Package~tagpdf~Info:~writing~StructElems}
+ \@@_check_benchmark_tic:
\@@_tree_write_structelements: %this is rather slow!!
+ \@@_check_benchmark_toc:
+ \iow_term:n{Package~tagpdf~Info:~writing~Root}
+ \@@_check_benchmark_tic:
\@@_tree_write_structtreeroot:
+ \@@_check_benchmark_toc:
}
}
+%</package>
% \end{macrocode}
% \end{macro}
%
@@ -601,6 +630,7 @@
% We need to add to the Page resources the |StructParents| entry, this is simply the
% absolute page number.
% \begin{macrocode}
+%<*package>
\hook_gput_code:nnn{begindocument}{tagpdf}
{
\bool_if:NT\g_@@_active_tree_bool
diff --git a/macros/latex/contrib/tagpdf/tagpdf-user.dtx b/macros/latex/contrib/tagpdf/tagpdf-user.dtx
index e51bb9d35f..82732b4458 100644
--- a/macros/latex/contrib/tagpdf/tagpdf-user.dtx
+++ b/macros/latex/contrib/tagpdf/tagpdf-user.dtx
@@ -46,7 +46,7 @@
% }^^A
% }
%
-% \date{Version 0.98x, released 2024-02-29}
+% \date{Version 0.99a, released 2024-03-27}
% \maketitle
% \begin{documentation}
% \section{Setup commands}
@@ -309,7 +309,7 @@
% \begin{macrocode}
%<@@=tag>
%<*header>
-\ProvidesExplPackage {tagpdf-user} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf-user} {2024-03-27} {0.99a}
{tagpdf - user commands}
%</header>
% \end{macrocode}
@@ -763,6 +763,7 @@
% this will hold the structure number of the current text-unit.
% \begin{macrocode}
\tl_new:N \g_@@_para_main_struct_tl
+\tl_gset:Nn \g_@@_para_main_struct_tl {1}
\tl_new:N \l_@@_para_tag_default_tl
\tl_set:Nn \l_@@_para_tag_default_tl { text }
\tl_new:N \l_@@_para_tag_tl
@@ -1197,6 +1198,18 @@
{{\use:c{@@_mc_disable_marks:} #1}}
% \end{macrocode}
% \end{macro}
+% \subsection{Language support}
+%
+% With the following key the lang variable is set. All structures in the current group will
+% then set this lang variable.
+% \begin{macro}{test/lang (setup-key)}
+% \begin{macrocode}
+\keys_define:nn { @@ / setup }
+ {
+ text / lang .tl_set:N = \l_@@_struct_lang_tl
+ }
+% \end{macrocode}
+% \end{macro}
% \subsection{Header and footer}
% Header and footer should normally be tagged as artifacts. The following code
% requires the new hooks.
diff --git a/macros/latex/contrib/tagpdf/tagpdf.dtx b/macros/latex/contrib/tagpdf/tagpdf.dtx
index a14273f8b9..ffdb147b45 100644
--- a/macros/latex/contrib/tagpdf/tagpdf.dtx
+++ b/macros/latex/contrib/tagpdf/tagpdf.dtx
@@ -87,7 +87,7 @@
% \begin{macrocode}
%<@@=tag>
%<*package>
-\ProvidesExplPackage {tagpdf} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf} {2024-03-27} {0.99a}
{ A package to experiment with pdf tagging }
\bool_if:nF
@@ -113,7 +113,7 @@
% \end{macrocode}
%<*debug>
% \begin{macrocode}
-\ProvidesExplPackage {tagpdf-debug} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf-debug} {2024-03-27} {0.99a}
{ debug code for tagpdf }
\@ifpackageloaded{tagpdf}{}{\PackageWarning{tagpdf-debug}{tagpdf~not~loaded,~quitting}\endinput}
% \end{macrocode}
@@ -136,7 +136,7 @@
% we define a base package with dummy functions
% \begin{macrocode}
%<*base>
-\ProvidesExplPackage {tagpdf-base} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdf-base} {2024-03-27} {0.99a}
{part of tagpdf - provide base, no-op versions of the user commands }
%</base>
% \end{macrocode}
@@ -487,7 +487,7 @@
% \begin{macrocode}
\cs_set_protected:Npn \tag_stop:
{
-%<debug> \msg_note:nnx {tag / debug }{tag-stop}{ \int_use:N \l_@@_tag_stop_int }
+%<debug> \msg_note:nne {tag / debug }{tag-stop}{ \int_use:N \l_@@_tag_stop_int }
\int_incr:N \l_@@_tag_stop_int
\bool_set_false:N \l_@@_active_struct_bool
\bool_set_false:N \l_@@_active_mc_bool
@@ -504,7 +504,7 @@
\bool_set_true:N \l_@@_active_socket_bool
\@@_start_para_ints:
}
-%<debug> \msg_note:nnx {tag / debug }{tag-start}{ \int_use:N \l_@@_tag_stop_int }
+%<debug> \msg_note:nne {tag / debug }{tag-start}{ \int_use:N \l_@@_tag_stop_int }
}
\cs_set_eq:NN\tagstop\tag_stop:
\cs_set_eq:NN\tagstart\tag_start:
@@ -512,7 +512,7 @@
% \begin{macrocode}
\cs_set_protected:Npn \tag_stop:n #1
{
-%<debug> \msg_note:nnxx {tag / debug }{tag-stop}{ \int_use:N \l_@@_tag_stop_int }{#1}
+%<debug> \msg_note:nnee {tag / debug }{tag-stop}{ \int_use:N \l_@@_tag_stop_int }{#1}
\int_incr:N \l_@@_tag_stop_int
\bool_set_false:N \l_@@_active_struct_bool
\bool_set_false:N \l_@@_active_mc_bool
@@ -529,7 +529,7 @@
\bool_set_true:N \l_@@_active_socket_bool
\@@_start_para_ints:
}
-%<debug> \msg_note:nnxx {tag / debug }{tag-start}{ \int_use:N \l_@@_tag_stop_int }{#1}
+%<debug> \msg_note:nnee {tag / debug }{tag-start}{ \int_use:N \l_@@_tag_stop_int }{#1}
}
%</package|debug>
%<*base>
diff --git a/macros/latex/contrib/tagpdf/tagpdf.pdf b/macros/latex/contrib/tagpdf/tagpdf.pdf
index 6b3be5e36c..771fe1ed0f 100644
--- a/macros/latex/contrib/tagpdf/tagpdf.pdf
+++ b/macros/latex/contrib/tagpdf/tagpdf.pdf
Binary files differ
diff --git a/macros/latex/contrib/tagpdf/tagpdf.tex b/macros/latex/contrib/tagpdf/tagpdf.tex
index 59eacee0b4..b8b718482b 100644
--- a/macros/latex/contrib/tagpdf/tagpdf.tex
+++ b/macros/latex/contrib/tagpdf/tagpdf.tex
@@ -16,8 +16,8 @@
}
\DebugBlocksOff
\makeatletter
-\def\UlrikeFischer@package@version{0.98x}
-\def\UlrikeFischer@package@date{2024-02-29}
+\def\UlrikeFischer@package@version{0.99a}
+\def\UlrikeFischer@package@date{2024-03-27}
\makeatother
\documentclass[bibliography=totoc,a4paper]{article}
@@ -34,8 +34,8 @@
\usepackage[style=numeric]{biblatex}
\addbibresource{tagpdf.bib}
-\usepackage[noparboxrestore]{marginnote}
\reversemarginpar
+\NewDocumentCommand\sidenote{m}{\marginpar{#1}}
\usepackage{booktabs}
\setlength\belowcaptionskip{10pt}
\usepackage{tcolorbox}
@@ -384,10 +384,11 @@ command so that \pkg{tagpdf} can pick up the correct code path.
\begin{taglstlisting}
\DocumentMetadata
{
- % testphase = phase-I, % tagging without paragraph tagging
- testphase = phase-II % tagging with paragraph tagging and other new stuff.
- % testphase = phase-III % tagging with paragraph sec, toc, block tagging and more
- % pdfversion = 2.0 % pdfversion must be set here.
+ % testphase = phase-I, % tagging without paragraph tagging
+ % testphase = phase-II, % tagging with paragraph tagging
+ testphase = phase-III, % tagging with paragraph sec, toc, blocks and more
+ pdfversion = 2.0, % pdfversion must be set here.
+ pdfstandard=ua-2, % pdfstandard can be set too
}
\documentclass{article}
\begin{document}
@@ -1028,7 +1029,7 @@ The key-val list understands the following keys:
The validators complain if some text is not marked up, but it is not
quite clear if this is a serious problem.
- The\sidenote{lua mode only} lua mode will mark up everything unmarked as
+ The\sidenote{lua mode} lua mode will mark up everything unmarked as
\texttt{artifact=notype}. You can suppress this behavior by setting the
tagpdfsetup key \texttt{activate/tagunmarked} to false. See section
\ref{ssec:setup}.
@@ -1199,7 +1200,7 @@ This (expandable) command returns the values of some variables. Currently, the w
\subsubsection{Luamode: global or not global -- that is the question}\label{sec:global-local}
-In\sidenote{Luamode mode only} luamode the mc-commands set and unset an
+In\sidenote{lua mode} luamode the mc-commands set and unset an
attribute to mark the nodes. One can view such an attribute like a font
change or a color: they affect all following chars and glue nodes until
stopped.
@@ -1858,7 +1859,8 @@ The key-val list understands the following keys:
\item[\PrintKeyName{lang}] This key allows to set the language for
a structure element. The value should be a bcp-identifier,
- e.g. |de-De|.
+ e.g. |de-De|. It can also be set \enquote{from the outside} for all
+ structures in the current group with \cs{tagpdfsetup} and the |text/lang| key.
\item[\PrintKeyName{ref}] This key allows to add references to
other structure elements, it adds the |/Ref| array to the
@@ -2472,8 +2474,6 @@ perhaps insert break points.
\section{Storing and reusing boxes}\label{sec:savebox}
-\section{Saving and using boxes}
-
\TeX{} allows to store material in boxes and to use these box once or
multiple times in other places. This poses some challenges to tagging. The
listings in the following examples uses low-level \TeX{} box commands to
@@ -2523,7 +2523,7 @@ The box can in both modes be used without problems many times.
We assume in the following that the box contains only well balanced tagging
commands and no parts that are \enquote{untagged}. It should be possible to
-copy the whole box inside a \verb+\tagstructbegin+/\verb+\tagstructend+
+copy the whole box inside a \verb+\tagstructbegin+/\hspace{0pt}\verb+\tagstructend+
pair. So the following is fine as box content
\begin{taglstlisting}
box=\tagstructbegin{...}\tagmcbegin{} balanced content\tagmcend\tagstructend
diff --git a/macros/latex/contrib/tagpdf/tagpdfdocu-patches.sty b/macros/latex/contrib/tagpdf/tagpdfdocu-patches.sty
index 17baec2298..c3e663cecd 100644
--- a/macros/latex/contrib/tagpdf/tagpdfdocu-patches.sty
+++ b/macros/latex/contrib/tagpdf/tagpdfdocu-patches.sty
@@ -1,5 +1,5 @@
%\RequirePackage[enable-debug]{expl3}[2018/06/14]
-\ProvidesExplPackage {tagpdfdocu-patches} {2024-02-29} {0.98x}
+\ProvidesExplPackage {tagpdfdocu-patches} {2024-03-27} {0.99a}
{patches/commands for the tagpdf documentation}
\RequirePackage{etoolbox,xpatch}
@@ -69,15 +69,17 @@
}
% ======== marginnote ==========
+% 2024-03-23 currently marginnote is no longer used, we use marginpar
% TODO marginnote has a bug (a \par is missing) so it messes up tagging.
% but currently unneeded as we marked them up as artifacts anyway as they don't contain
% meaningful contents
-\renewcommand*{\mn@parboxrestore}{\tagpdfparaOff}%
+%\renewcommand*{\mn@parboxrestore}{\tagpdfparaOff}%
-\NewDocumentCommand\sidenote{m}
- {
- \tag_mc_artifact_group_begin:n{notype}\tagpdfparaOff\marginnote{#1}\tag_mc_artifact_group_end:
- }
+%\NewDocumentCommand\sidenote{m}
+% {%
+% %\tag_mc_artifact_group_begin:n{notype}\tagpdfparaOff\marginnote{#1}\tag_mc_artifact_group_end:
+% \marginpar{#1}%
+% }
\ExplSyntaxOff
% ======== tikzpicture ==========
diff --git a/macros/latex/contrib/tagpdf/tagpdfsetup-keys.tex b/macros/latex/contrib/tagpdf/tagpdfsetup-keys.tex
index 2c255fbf23..2484a42020 100644
--- a/macros/latex/contrib/tagpdf/tagpdfsetup-keys.tex
+++ b/macros/latex/contrib/tagpdf/tagpdfsetup-keys.tex
@@ -66,6 +66,8 @@ math/tex/AF & --- &boolean &bool &latex-lab-math\\[4p
%% table key path
% true/false/layout
table/tagging & table-tagging &choice &code &latex-lab-table\\
-table/header-rows & table-header-rows& clist &clist &latex-lab-table\\
+table/header-rows & table-header-rows& clist &clist &latex-lab-table\\[4pt]\midrule
+% change for text
+text/lang & --- & string & code &tagpdf-user \\
\bottomrule
\end{tabular}
diff --git a/macros/latex/contrib/thmlist/doc/thmlist.pdf b/macros/latex/contrib/thmlist/doc/thmlist.pdf
index abf583713d..777f06bf05 100644
--- a/macros/latex/contrib/thmlist/doc/thmlist.pdf
+++ b/macros/latex/contrib/thmlist/doc/thmlist.pdf
Binary files differ
diff --git a/macros/latex/contrib/thmlist/doc/thmlist.tex b/macros/latex/contrib/thmlist/doc/thmlist.tex
index cbeb901e2d..4006ef061d 100644
--- a/macros/latex/contrib/thmlist/doc/thmlist.tex
+++ b/macros/latex/contrib/thmlist/doc/thmlist.tex
@@ -1,42 +1,53 @@
\documentclass[11pt,svgnames]{article}
-\usepackage{geometry,titlesec,authblk,datetime,xcolor,hologo}
+\usepackage{geometry,titlesec,datetime,xcolor,hologo}
\titleformat*{\section}{\bfseries\large}
\hologoFontSetup{general=\sffamily}
\usepackage[libertine,mono=false]{libertine}
\usepackage[colorlinks,urlcolor=Indigo]{hyperref}
-
-\title{\bfseries The \texttt{thmlist} Package}
-\author{Hsia Mingyu, \href{https://www.hdu.edu.cn}{Hangzhou Dianzi University}}
+\def\pkg#1{\textcolor{DarkGreen}{\textsf{#1}}}
+\def\mode#1{\textcolor{Indigo}{\textsf{#1}}}
+\def\cmd#1{\textcolor{MidnightBlue}{\texttt{\string#1}}}
+
+\title{\bfseries The \pkg{thmlist} Package}
+\author{%
+ Hsia Mingyu, \href{https://www.hdu.edu.cn}{Hangzhou Dianzi University}\\
+ \href{mailto:xiamyphys@gmail.com}{\ttfamily xiamyphys@gmail.com}}
\yyyymmdddate\date{\today}
-\affil{\href{mailto:xiamyphys@gmail.com}{\ttfamily xiamyphys@gmail.com}}
-\date{\today\quad Version 0.1a\thanks{\url{https://github.com/xiamyphys/thmlist}}}
+\date{Version 0.1b\quad\thanks{\url{https://github.com/xiamyphys/thmlist}}\today}
\usepackage[amscounter=section,amsstyle=definition,
mdfcounter=section,mdfstyle=mdflist]{thmlist}
+\mdfsetup{skipabove=2pt, skipbelow=2pt}
\mdfdefinestyle{mdflist}{%
- skipabove=0pt, skipbelow=0pt,
- hidealllines=true, leftline=true,
- linewidth=.5ex, innerleftmargin=1.5ex,
- innerrightmargin=0pt, innertopmargin=-1.5ex,
- innerbottommargin=.5ex}
-\amslist{remark, example; DarkRed, Teal}
-\mdflist{theorem, lemma, definition; DarkGreen, MidnightBlue, MidnightBlue}
+ skipabove=0pt, skipbelow=0pt,
+ hidealllines=true, leftline=true,
+ linewidth=.5ex, innerleftmargin=1.5ex,
+ innerrightmargin=0pt, innertopmargin=-1.75ex,
+ innerbottommargin=0pt}
+\mdflist{theorem, lemma, definition;
+ Théorème, Lemme, Définition;
+ DarkOliveGreen, MidnightBlue, MidnightBlue}
+\amslist{remark, example;
+ Remarque, Exemple;
+ DarkRed, Teal}
\begin{document}
+\def\theexample{\arabic{example}}\let\theremark=\relax
+
\maketitle\vspace*{-4ex}
\begin{abstract}
-This is the document for the \verb+thmlist+ package, which provides a simple way for adding theorem environments quickly.
+This is the document for the \pkg{thmlist} package, which provides a simple way for adding theorem environments quickly.
\end{abstract}
\section{The purpose of this package}
This package provides a simple way for adding theorem environments quickly. Welcome to feedback bugs or ideas via email \href{mailto:xiamyphys@gmail.com}{\ttfamily xiamyphys@gmail.com} or \href{https://github.com/xiamyphys/thmlist}{GitHub}.
-This package has required the \verb+amsthm+ and \verb+mdframed+ packages to create different style of theorem environments, \verb+pgffor+ to support \verb|\foreach| loop and \verb+listofitems+ to support list reading.
+This package has required the \pkg{amsthm} and \pkg{mdframed} packages to create different style of theorem environments, \pkg{pgffor} to support \cmd{foreach} loop and \pkg{listofitems} to support list reading.
-\section{Loading \texttt{thmlist}}
-I strongly advise you to use terminal/cmd to implement the commands to update all the packages (and install this package) to the latest version or switch to portable version instead
+\section{Loading \pkg{thmlist}}
+I strongly advise you to use terminal/cmd to implement the commands to update all the packages (and install this package) to the latest version or switch to portable version
\begin{verbatim}
sudo tlmgr update --self --all
\end{verbatim}
@@ -47,9 +58,9 @@ I strongly advise you to use terminal/cmd to implement the commands to update al
mdfcounter=<counter>,mdfstyle=<style>]{thmlist}
\end{verbatim}
-This package has four keys: \verb|amscounter|, \verb|amsstyle|, \verb|mdfcounter|, \verb|mdfstyle|.
+This package has four keys: \cmd{amscounter}, \cmd{amsstyle}, \cmd{mdfcounter}, \cmd{mdfstyle}.
-The \verb|amscounter| and the \verb|mdfcounter| keys can set the `numberwithin' of the theorem environments with(out) the frame style respectively, and the \verb|amsstyle| and the \verb|mdfstyle| keys can set the style of the theorem environments with(out) the frame style respectively.
+The \cmd{amscounter} and the \cmd{mdfcounter} keys can set the `numberwithin' of the theorem environments with(out) the frame style respectively, and the \cmd{amsstyle} and the \cmd{mdfstyle} keys can set the style of the theorem environments with(out) the frame style respectively.
If you have not set the keys, the default values of the four keys will be applied
\begin{verbatim}
@@ -58,43 +69,52 @@ If you have not set the keys, the default values of the four keys will be applie
\section{Create theorem environments with(out) the framed style}
-\begin{itemize}
- \item The \verb+mdflist+ command can create a series of theorem environments with the frame.
- \item The \verb+amslist+ command can create a series of theorem environments without the frame.
-\end{itemize}
+Define a style of the \pkg{mdframed} package and set the key \cmd{mdfstyle=mdflist} correspondingly.
\begin{verbatim}
- \amslist{remark, example; DarkRed, Teal}
- \mdflist{theorem, lemma, definition;
- DarkGreen, MidnightBlue, MidnightBlue}
+ \mdfsetup{skipabove=2pt, skipbelow=2pt}
+ \mdfdefinestyle{mdflist}{%
+ skipabove=0pt, skipbelow=0pt,
+ hidealllines=true, leftline=true,
+ linewidth=.5ex, innerleftmargin=1.5ex,
+ innerrightmargin=0pt, innertopmargin=-1.75ex,
+ innerbottommargin=0pt}
\end{verbatim}
-The first line in the list is the name of the environments and the second line in the list is corresponding to color of the title and (or) frame of the environments. The following is the effect of the style configuration
+You should put the counter configuration of some environments after \verb|\begin{document}|, or them will not work. Such as
\begin{verbatim}
- \mdfdefinestyle{mdflist}{%
- skipabove=0pt, skipbelow=0pt,
- hidealllines=true, leftline=true,
- linewidth=.5ex, innerleftmargin=1.5ex,
- innerrightmargin=0pt, innertopmargin=-1.5ex,
- innerbottommargin=.5ex}
\def\theexample{\arabic{example}} \let\theremark=\relax
\end{verbatim}
-You should put the counter configuration of some environments after \verb|\begin{document}|, or them will not work. Such as
+Then, input the name of the environments in the first line and input the corresponding title and color of the environments in the next two lines.
+\begin{itemize}
+ \item The \cmd{mdflist} macro can create a series of theorem environments with the frame.
+ \item The \cmd{amslist} macro can create a series of theorem environments without the frame.
+\end{itemize}
\begin{verbatim}
- \def\theexample{\arabic{example}} \let\theremark=\relax
+ \mdflist{theorem, lemma, definition;
+ Théorème, Lemme, Définition;
+ DarkOliveGreen, MidnightBlue, MidnightBlue}
+ \amslist{remark, example;
+ Remarque, Exemple;
+ DarkRed, Teal}
\end{verbatim}
-\def\theexample{\arabic{example}}\let\theremark=\relax
-\begin{definition}[The Definition Environment]
-
-\end{definition}
-\begin{lemma}[The Lemma Environment]
-
-\end{lemma}
-\begin{theorem}[The Theorem Environment]
-
+The following is the effect of the style configuration above.
+
+\begin{theorem}[The Théorème Environment]\leavevmode\newline
+ From WikipediA: A theorem is a statement that has been proved, or can be proved.
\end{theorem}
-\example{This is an example.}
-\remark{This package works fine with the \verb+Standard Document Classes+.}
+
+\begin{lemma}[The Lemme Environment]\leavevmode\newline
+ From WikipediA: In mathematics, informal logic and argument mapping, a lemma (pl.: lemmas or lemmata) is a generally minor, proven proposition which is used as a stepping stone to a larger result. For that reason, it is also known as a ``helping theorem'' or an ``auxiliary theorem''.
+\end{lemma}
+
+\begin{definition}[The Définition Environment]\leavevmode\newline
+ From WikipediA: A definition is used to give a precise meaning to a new term, by describing a condition which unambiguously qualifies what a mathematical term is and is not.
+\end{definition}
+
+\remark{This package works fine with the \pkg{Standard Document Classes}.}
+
+\example{From Cambridge Dictionary: The example is a way of helping someone to understand something by showing them how it is used.}
\end{document} \ No newline at end of file
diff --git a/macros/latex/contrib/thmlist/tex/thmlist.sty b/macros/latex/contrib/thmlist/tex/thmlist.sty
index b48e3130e3..40e19ef13e 100644
--- a/macros/latex/contrib/thmlist/tex/thmlist.sty
+++ b/macros/latex/contrib/thmlist/tex/thmlist.sty
@@ -18,18 +18,21 @@
%% available at https://github.com/xiamyphys/thmlist *
%% ****************************************************************************************************
\NeedsTeXFormat{LaTeX2e}[2020/10/01]
-\ProvidesPackage{thmlist}[2024/03/21/ v0.1a Package for creating amsthm environments quickly.]
+\ProvidesPackage{thmlist}[2024/03/26/ v0.1b Package for creating amsthm environments quickly.]
-\DeclareOptionX{amscounter}{\def\@amscounter{#1}}
+\DeclareOptionX{amscounter}{\gdef\@amscounter{#1}}
+\DeclareOptionX{mdfcounter}{\gdef\@mdfcounter{#1}}
\ExecuteOptionsX{amscounter=section}
-\DeclareOptionX{amsstyle}{\def\@amsstyle{#1}}
-\ExecuteOptionsX{amsstyle=definition}
-
-\DeclareOptionX{mdfcounter}{\def\@mdfcounter{#1}}
\ExecuteOptionsX{mdfcounter=section}
-\DeclareOptionX{mdfstyle}{\def\@mdfstyle{#1}}
+
+\DeclareOptionX{amsstyle}{\gdef\@amsstyle{#1}}
+\DeclareOptionX{mdfstyle}{\gdef\@mdfstyle{#1}}
+\ExecuteOptionsX{amsstyle=definition}
\ExecuteOptionsX{mdfstyle=mdempty}
+\DeclareOptionX{thmfont}{\gdef\@thmfont{#1}}
+\ExecuteOptionsX{thmfont=\sffamily}
+
\DeclareOptionX*{\PackageWarning{thmlist}{`\CurrentOption' ignored}}
\ProcessOptionsX\relax
@@ -38,30 +41,23 @@
\theoremstyle{\@amsstyle}\mdfdefinestyle{mdempty}{}
\setsepchar{;/,}\ignoreemptyitems
-\def\mdflist#1{\gdef\@mdflist{#1}}\def\amslist#1{\gdef\@amslist{#1}}
-\AtBeginDocument{%`'
+\def\mdflist#1{\gdef\@mdflist{#1}}
+\def\amslist#1{\gdef\@amslist{#1}}
+\AtBeginDocument{%
\ifcsname @mdflist\endcsname
\readlist*\mdflist{\@mdflist}
- \ifnum \listlen\mdflist[1]<\listlen\mdflist[2]
- \def\@mdfnum{\listlen\mdflist[1]}
- \else
- \def\@mdfnum{\listlen\mdflist[2]}
- \fi
+ \def\@mdfnum{\listlen\mdflist[1]}
\foreach \x in {1,...,\@mdfnum}{%
\expandafter\xdef\csname\x\x\endcsname{\noexpand
- \newmdtheoremenv[linecolor=\mdflist[2,\x],style=\@mdfstyle]{\mdflist[1,\x]}
- {\noexpand\color{\mdflist[2,\x]}\noexpand\sffamily\expandafter\MakeUppercase\expanded{\mdflist[1,\x]}}[\@mdfcounter]}\csname\x\x\endcsname}
+ \newmdtheoremenv[linecolor=\mdflist[3,\x],style=\@mdfstyle]{\mdflist[1,\x]}
+ {\noexpand\color{\mdflist[3,\x]}\noexpand\@thmfont{\mdflist[2,\x]}}[\@mdfcounter]}\csname\x\x\endcsname}
\fi
\ifcsname @amslist\endcsname
\readlist*\amslist{\@amslist}
- \ifnum \listlen\amslist[1]<\listlen\amslist[2]
- \def\@amsnum{\listlen\amslist[1]}
- \else
- \def\@amsnum{\listlen\amslist[2]}
- \fi
+ \def\@amsnum{\listlen\amslist[1]}
\foreach \x in {1,...,\@amsnum}{%
\expandafter\xdef\csname\x\x\endcsname{\noexpand
\newtheorem{\amslist[1,\x]}
- {\noexpand\color{\amslist[2,\x]}\noexpand\sffamily\expandafter\MakeUppercase\expanded{\amslist[1,\x]}}[\@amscounter]}\csname\x\x\endcsname}
+ {\noexpand\color{\amslist[3,\x]}\noexpand\@thmfont{\amslist[2,\x]}}[\@amscounter]}\csname\x\x\endcsname}
\fi
} \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/README.md b/macros/latex/contrib/tkz/tkz-elements/README.md
index bf33121af3..1f2043e435 100644
--- a/macros/latex/contrib/tkz/tkz-elements/README.md
+++ b/macros/latex/contrib/tkz/tkz-elements/README.md
@@ -1,10 +1,10 @@
# tkz-elements — for euclidean geometry
-Release 2.00c 2024/02/04
+Release 2.20c 2024/03/26
## Description
-`tkz-elements v.2.00c` is the new version of a library written in lua, allowing to make all the necessary calculations to define the objects of a Euclidean geometry figure. You need to compile with `LuaLaTeX`. With `tkz-elements`, the definitions and calculations are only done with `Lua`.
+`tkz-elements v.2.20c` is the new version of a library written in lua, allowing to make all the necessary calculations to define the objects of a Euclidean geometry figure. You need to compile with `LuaLaTeX`. With `tkz-elements`, the definitions and calculations are only done with `Lua`.
The main possibility of programmation proposed is oriented "object programming" with object classes like point, line, triangle, circle and ellipse. For the moment, once the calculations are done, it is `tkz-euclide` or `TikZ` which allows the drawings.
@@ -60,6 +60,21 @@ An important example `Golden Arbelos` using the package is on the site. All the
are on the site.
## History
+ - version 2.20c
+ - Package:
+ - Added class matrix; methods are mainly of order 2, sometimes of order 3.
+ - Added function solve_quadratic. This function can be used to solve second-degree equations with real or complex numbers.
+ - Added method print for the class point. Example z.A : print ()
+ - Correction of the macro tkzDN. I deleted a spurious space
+ - Modification of vector class attributes. Attributes h and t become head and tail.
+ - The mtx attribute is introduced for point and vector.
+ z.A.mtx represents the column matrix whose coefficients are the point's coordinates. Same for vectors.
+ - Documentation:
+ - Rewriting of all texts
+ - Correction of example: pentagon
+ - Documentation about matrices
+
+
- version 2.00c
- class development “vectorâ€
- added attribute “vecâ€
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-circle.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-circle.tex
index 2395f5f045..f84c58d941 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-circle.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-circle.tex
@@ -4,7 +4,7 @@
\subsection{Attributes of a circle} % (fold)
\label{sub:attributes_of_a_circle}
-This class is also defined by two points: on the one hand, the center and on the other hand, a point through which the circle passes.
+This class is defined by two points: the center and a point through which the circle passes
\begin{mybox}
Creation |C.OA = circle: new (z.O,z.A) |
@@ -25,8 +25,8 @@ This class is also defined by two points: on the one hand, the center and on the
\Iattr{circle}{south} & |C.AB.south| & |z.S = C.OA.south| \\
\Iattr{circle}{east} & |C.AB.east| & |z.E = C.OA.east| \\
\Iattr{circle}{west} & |C.AB.west| & |z.W = C.OA.west| \\
-\Iattr{circle}{opp} & |z.Ap = C.AB.opp| & see (\ref{ssub:example_circle_attributes}) \\
-\Iattr{circle}{ct} & |L = C.AB.ct| & see (\ref{ssub:example_circle_attributes}) \\
+\Iattr{circle}{opp} & |z.Ap = C.AB.opp| & Refer to (\ref{ssub:example_circle_attributes}) \\
+\Iattr{circle}{ct} & |L = C.AB.ct| & Refer to (\ref{ssub:example_circle_attributes}) \\
\bottomrule %
\end{tabular}
\egroup
@@ -37,7 +37,7 @@ This class is also defined by two points: on the one hand, the center and on the
Three attributes are used (south, west, radius).
\begin{minipage}{0.5\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale = .5
z.a = point: new (1, 1)
@@ -57,7 +57,7 @@ Three attributes are used (south, west, radius).
\tkzDrawSegments(a,b r,t b,c)
\tkzLabelSegment[sloped](a,b){ab = \tkzUseLua{r}}
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{tkzelements}
@@ -96,9 +96,9 @@ Three attributes are used (south, west, radius).
\toprule
\textbf{Methods} & \textbf{Comments} & \\
\midrule \\
-\Imeth{circle}{new(O,A)} & |C.OA = circle : new (z.O,z.A)| & circle center $O$ through $A$\\
-\Imeth{circle}{radius(O,r)} & |C.OA = circle : radius (z.O,2)| & circle center $O$ radius =2 cm\\
-\Imeth{circle}{diameter(A,B)} & |C.OA = circle :diameter(z.A,z.B)| & circle diameter $[AB]$ \\
+\Igfct{circle}{new(O,A)} & |C.OA = circle : new (z.O,z.A)| & circle center $O$ through $A$\\
+\Igfct{circle}{radius(O,r)} & |C.OA = circle : radius (z.O,2)| & circle center $O$ radius =2 cm\\
+\Igfct{circle}{diameter(A,B)} & |C.OA = circle :diameter(z.A,z.B)| & circle diameter $[AB]$ \\
\midrule
\textbf{Points} &&\\
\midrule
@@ -109,31 +109,31 @@ Three attributes are used (south, west, radius).
\Imeth{circle}{random\_pt(lower, upper)} & &\\
\Imeth{circle}{internal\_similitude (C)} & |z.I = C.one : internal_similitude (C.two)| &\\
\Imeth{circle}{external\_similitude (C)} & |z.J = C.one : external_similitude (C.two)| & \\
-\Imeth{circle}{radical\_center (C1<,C2>)} & or only (C1) & see \ref{sub:radical_center} \\
+\Imeth{circle}{radical\_center (C1<,C2>)} & or only (C1) & Refer to \ref{sub:radical_center} \\
\midrule
\textbf{Lines} & & \\
\midrule
-\Imeth{circle}{radical\_axis (C)} & see ( \ref{sub:d_alembert_2} ; \ref{sub:radical_axis_v1} ; \ref{sub:radical_axis_v2} ; \ref{sub:radical_axis_v3} ; \ref{sub:radical_axis_v4})& \\
-\Imeth{circle}{tangent\_at (pt)} & |z.P = C.OA: tangent_at (z.M)| & see (\ref{ssub:lemoine} ; \ref{ssub:example_combination_of_methods})\\
-\Imeth{circle}{tangent\_from (pt)}& |z.M,z.N = C.OA: tangent_from (z.P)| & see (\ref{tangent_from})\\
-\Imeth{circle}{inversion (line)} & |L or C = C.AC: inversion (L.EF)|& see (\ref{ssub:inversion_line})\\
-\Imeth{circle}{common\_tangent (C)} & |z.a,z.b = C.AC: common_tangent (C.EF)|& see (\ref{sub:common_tangent} ; \ref{sub:common_tangent_orthogonality})\\
+\Imeth{circle}{radical\_axis (C)} & Refer to ( \ref{sub:d_alembert_2} ; \ref{sub:radical_axis_v1} ; \ref{sub:radical_axis_v2} ; \ref{sub:radical_axis_v3} ; \ref{sub:radical_axis_v4})& \\
+\Imeth{circle}{tangent\_at (pt)} & |z.P = C.OA: tangent_at (z.M)| & Refer to (\ref{ssub:lemoine} ; \ref{ssub:example_combination_of_methods})\\
+\Imeth{circle}{tangent\_from (pt)}& |z.M,z.N = C.OA: tangent_from (z.P)| & Refer to (\ref{tangent_from})\\
+\Imeth{circle}{inversion (line)} & |L or C = C.AC: inversion (L.EF)|& Refer to (\ref{ssub:inversion_line})\\
+\Imeth{circle}{common\_tangent (C)} & |z.a,z.b = C.AC: common_tangent (C.EF)|& Refer to (\ref{sub:common_tangent} ; \ref{sub:common_tangent_orthogonality})\\
\midrule
\textbf{Circles}& &\\
\midrule
-\Imeth{circle}{orthogonal\_from (pt)} & |C = C.OA: orthogonal_from (z.P)| & see (\ref{ssub:altshiller} ; \ref{sub:common_tangent_orthogonality} ; \ref{sub:orthogonal_circles_v1} ; \ref{sub:pencil_v1}) \\
-\Imeth{circle}{orthogonal\_through (pta,ptb)} & |C = C.OA: orthogonal_through (z.z1,z.z2)| & see (\ref{sub:orthogonal_circle_through})\\
-\Imeth{circle}{inversion (...)} & | C.AC: inversion (pt, pts, L or C )|& see \ref{ssub:inversion}, \ref{ssub:inversion_point}, \ref{ssub:inversion_line}, \ref{ssub:inversion_circle}\\
-\Imeth{circle}{midcircle (C)} & |C.inv = C.OA: midcircle (C.EF)| & see \ref{ssub:midcircle} \\
-\Imeth{circle}{radical\_circle (C1<,C2>)} & or only (C1) & see \ref{sub:radical_circle}\\
+\Imeth{circle}{orthogonal\_from (pt)} & |C = C.OA: orthogonal_from (z.P)| & Refer to (\ref{ssub:altshiller} ; \ref{sub:common_tangent_orthogonality} ; \ref{sub:orthogonal_circles_v1} ; \ref{sub:pencil_v1}) \\
+\Imeth{circle}{orthogonal\_through (pta,ptb)} & |C = C.OA: orthogonal_through (z.z1,z.z2)| & Refer to (\ref{sub:orthogonal_circle_through})\\
+\Imeth{circle}{inversion (...)} & | C.AC: inversion (pt, pts, L or C )|& Refer to \ref{ssub:inversion}, \ref{ssub:inversion_point}, \ref{ssub:inversion_line}, \ref{ssub:inversion_circle}\\
+\Imeth{circle}{midcircle (C)} & |C.inv = C.OA: midcircle (C.EF)| & Refer to \ref{ssub:midcircle} \\
+\Imeth{circle}{radical\_circle (C1<,C2>)} & or only (C1) & Refer to \ref{sub:radical_circle}\\
\midrule
\textbf{Miscellaneous} &&\\
\midrule
-\Imeth{circle}{power (pt)} &|p = C.OA: power (z.M)| & see (\ref{sub:power_v1} ; \ref{sub:power_v2} ; \ref{sub:apollonius_circle_v1_with_inversion}) \\
-\Imeth{circle}{in\_out (pt)} & |C.OA : in_out (z.M)| & see (\ref{sub:in_out_for_circle_and_disk}) \\
-\Imeth{circle}{in\_out\_disk (pt)} & |C.OA : in_out_disk (z.M)| & see (\ref{sub:in_out_for_circle_and_disk}) \\
+\Imeth{circle}{power (pt)} &|p = C.OA: power (z.M)| & Refer to (\ref{sub:power_v1} ; \ref{sub:power_v2} ; \ref{sub:apollonius_circle_v1_with_inversion}) \\
+\Imeth{circle}{in\_out (pt)} & |C.OA : in_out (z.M)| & Refer to (\ref{sub:in_out_for_circle_and_disk}) \\
+\Imeth{circle}{in\_out\_disk (pt)} & |C.OA : in_out_disk (z.M)| & Refer to (\ref{sub:in_out_for_circle_and_disk}) \\
\Imeth{circle}{draw ()} & for further use &\\
-\Imeth{circle}{circles\_position (C1)} & result = string &see (\ref{sub:circles_position}) \\
+\Imeth{circle}{circles\_position (C1)} & result = string &Refer to (\ref{sub:circles_position}) \\
\bottomrule
\end{tabular}
\egroup
@@ -143,7 +143,7 @@ Three attributes are used (south, west, radius).
\label{ssub:altshiller}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.P = point : new (0,0)
z.Q = point : new (5,0)
@@ -169,7 +169,7 @@ Three attributes are used (south, west, radius).
\tkzDrawPoints(P,Q,E,F,A,C,D)
\tkzLabelPoints(P,Q,E,F,A,C,D)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\hspace*{\fill}
\begin{minipage}{.5\textwidth}
@@ -206,7 +206,7 @@ Three attributes are used (south, west, radius).
\label{ssub:lemoine}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = 1.6
z.A = point: new (1,0)
@@ -232,7 +232,7 @@ Three attributes are used (south, west, radius).
\tkzDrawLines[red](A,P B,Q R,C)
\tkzDrawSegments(A,R C,P C,Q)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
@@ -270,15 +270,15 @@ z.Q = intersection (L.tB,T.ca)
\subsubsection{Inversion: point, line and circle} % (fold)
\label{ssub:inversion}
-The “inversion†method can be used on a point, a line or a circle. Depending on the type of object, the function determines the correct algorithm to use.
+The \code{inversion} method can be used on a point, a line or a circle. Depending on the type of object, the function determines the correct algorithm to use.
\subsubsection{Inversion: point} % (fold)
\label{ssub:inversion_point}
-The “inversion†method can be used on a point, a group of points, a line or a circle. Depending on the type of object, the function determines the correct algorithm to use.
+The \code{inversion} method can be used on a point, a group of points, a line or a circle. Depending on the type of object, the function determines the correct algorithm to use.
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.o = point: new (-1,2)
z.a = point: new (2,1)
@@ -296,7 +296,7 @@ The “inversion†method can be used on a point, a group of points, a line or
\tkzLabelSegment[sloped,above=1em](c,d){%
Power of c with respect to C is \tkzUseLua{p}}
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -326,7 +326,7 @@ The “inversion†method can be used on a point, a group of points, a line or
The result is either a straight line or a circle.
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.o = point: new (-1,1)
z.a = point: new (1,3)
@@ -344,7 +344,7 @@ The result is either a straight line or a circle.
\tkzDrawPoints(a,o,c,d,H)
\tkzLabelPoints(a,o,c,d,H)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -374,7 +374,7 @@ The result is either a straight line or a circle.
The result is either a straight line or a circle.
\begin{minipage}{.55\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .7
z.o,z.a = point: new (-1,3),point: new (2,3)
@@ -402,7 +402,7 @@ color = "orange"
\tkzDrawPoints(a,...,f,o,p,q)
\tkzLabelPoints(a,...,f,o,p,q)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.45\textwidth}
\begin{tkzelements}
@@ -450,7 +450,7 @@ Clearly the tangency cases can be seen as limit cases of the above;
\end{enumerate} }
\end{minipage}
-
+\vspace{1em}
Let's look at each of these cases:
\begin{enumerate}[label=(\roman*)]
\item If the two given circles intersect, then there are two circles of inversion through their common points, with centers at the centers of similitudes. The two midcircles bisect their angles and are orthogonal to each other. The centers of the midcircles are the internal center of similitude and the external center of similitude $I$ and $J$.
@@ -459,7 +459,7 @@ Consider two intersecting circles $(\mathcal{A})$ and $(\mathcal{B})$.
We can obtain the centers of similarity of these two circles by constructing $EH$ and $FG$ two diameters parallel of the circles $(\mathcal{A})$ and $(\mathcal{B})$. The line $(GE)$ intercepts the line $(AB)$ in $J$ and the line $(EF)$ intercepts the line $(AB)$ in $I$. The circles $(\mathcal{I})$ and $(\mathcal{J})$ are orthogonal and are the midcircles of $(\mathcal{A})$ and $(\mathcal{B})$. The division $(A,B;I,J)$ is harmonic.
\begin{minipage}{.4\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .8
z.A = point : new ( 1 , 0 )
@@ -477,7 +477,7 @@ z.I,z.T = get_points ( C.IT )
z.J,z.V = get_points ( C.JV )
z.X,z.Y = intersection (C.AO,C.BP)
\end{tkzelements}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -522,7 +522,7 @@ z.X,z.Y = intersection (C.AO,C.BP)
\item One given circle is in the interior of the other given circle.
\begin{minipage}{.6\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale =.75
z.A = point : new ( 3 , 0 )
@@ -541,7 +541,7 @@ z.X,z.Y = intersection (C.AO,C.BP)
C.IT = C.AO : midcircle (C.BP)
z.I,z.T = get_points ( C.IT )
\end{tkzelements}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -582,7 +582,7 @@ This case is a little more complicated. We'll construct the two circles $(\alpha
$I$ is the center of external similarity of the two given circles. To obtain the inversion circle, simply note that $H$ is such that $IH^2= IE\times IF$. \label{tangent_from}
\begin{minipage}{.4\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale=.75
local a,b,c,d
@@ -603,7 +603,7 @@ z.H = intersection (L.TF,C.IT)
z.E = intersection (L.TF,C.Aa)
z.F=L.TF.pb
\end{tkzelements}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -647,7 +647,7 @@ z.F=L.TF.pb
\item $(\mathcal{B})$ being external and angent to $(\mathcal{A})$. The construction is identical to the previous one.
\begin{minipage}{.4\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale=.75
local a,b,c,d
@@ -668,7 +668,7 @@ z.H = intersection (L.TF,C.IT)
z.E = intersection (L.TF,C.Aa)
z.F=L.TF.pb
\end{tkzelements}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -709,7 +709,7 @@ z.F=L.TF.pb
\item When one of the given circles is inside and tangent to the other, the construction is easy.
\begin{minipage}{.4\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 2 , 0 )
z.B = point : new ( 4 , 0 )
@@ -720,7 +720,7 @@ C.Bb = circle : new (z.B,z.b)
C.IT = C.Aa : midcircle (C.Bb)
z.I,z.T = get_points ( C.IT )
\end{tkzelements}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -753,18 +753,18 @@ z.I,z.T = get_points ( C.IT )
\subsection{Circles\_position} % (fold)
\label{sub:circles_position}
-Cette fonction retourne une chaîne qui indique la position du cercle par rapport à un autre. Utile pour créer une fonction. Les cas sont:
+This function returns a string indicating the position of the circle in relation to another. Useful for creating a function. Cases are:
\begin{itemize}
- \item “outsideâ€
- \item “outside tangentâ€
- \item “inside tangentâ€
- \item “insideâ€
- \item “intersectâ€
+ \item \code{outside}
+ \item \code{outside tangent}
+ \item \code{inside tangent}
+ \item \code{inside}
+ \item \code{intersect}
\end{itemize}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.a = point : new ( 3 , 0 )
@@ -783,7 +783,7 @@ Cette fonction retourne une chaîne qui indique la position du cercle par rappor
\tkzDrawCircle(A,a)
\tkzDrawCircle[color=\tkzUseLua{color}](B,b)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -810,7 +810,7 @@ if position == "inside tangent" then color = "orange" else color = "blue" end
Let be a tangent common to both circles at $T$ and $T'$ (closest to $C$). Let a secant parallel to this tangent pass through $C$. Then the segment $[TT']$ is seen from the other common point $D$ at an angle equal to half the angle of the two circles.
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 5 , 2 )
@@ -839,7 +839,7 @@ Let be a tangent common to both circles at $T$ and $T'$ (closest to $C$). Let a
\tkzMarkAngles[mark=|,size=.75](T,C,M C,T,T' C,D,T T,D,M)
\tkzMarkAngles[mark=||,size=.75](M',C,T' T,T',C T',D,C M',D,T')
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\begin{tkzelements}
@@ -879,7 +879,7 @@ _,z.D = intersection (C.AC,C.BC)
\label{sub:common_tangent_orthogonality}
For two circles to be orthogonal, it is necessary and sufficient for a secant passing through one of their common points to be seen from the other common point at a right angle.
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 4 , 2 )
@@ -909,7 +909,7 @@ For two circles to be orthogonal, it is necessary and sufficient for a secant
\tkzLabelPoints[above](C,M',T,T')
\tkzMarkRightAngles(M',D,M A,C,B)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
@@ -946,7 +946,7 @@ z.Mp = intersection (L.mm, C.BC)
\subsection{In\_out for circle and disk} % (fold)
\label{sub:in_out_for_circle_and_disk}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.O = point : new (0,0)
z.A = point : new (1,2)
@@ -978,7 +978,7 @@ BDp = C.OA : in_out_disk (z.P)
\tkzPosPoint{BDn}{N}{disk}{14}
\tkzPosPoint{BDp}{P}{disk}{14}
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\begin{tkzelements}
z.O = point : new (0,0)
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-ellipse.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-ellipse.tex
index bbe39aa1a2..5ea44a57b7 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-ellipse.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-ellipse.tex
@@ -1,10 +1,10 @@
\newpage
-\section{Classe \Iclass{ellipse}} % (fold)
-\label{sec:classe_ellipse}
+\section{Class \Iclass{ellipse}} % (fold)
+\label{sec:class_ellipse}
\subsection{Attributes of an ellipse} % (fold)
\label{sub:attributes_of_an_ellipse}
-The first attributes are the three points that define the ellipse : \Iattr{ellipse}{center} , \Iattr{ellipse}{vertex} and \Iattr{ellipse}{covertex}. The first method to define an ellipse is to give its center, then the point named \tkzname{vertex} which defines the major axis and finally the point named \tkzname{covertex} which defines the minor axis.
+The first attributes are the three points that define the ellipse: : the \Iattr{ellipse}{center} , the \Iattr{ellipse}{vertex} and the\Iattr{ellipse}{covertex}. The first method to define an ellipse is to give its center, then the point named \tkzname{vertex} which defines the major axis and finally the point named \tkzname{covertex} which defines the minor axis.
\bgroup
@@ -35,45 +35,45 @@ The first attributes are the three points that define the ellipse : \Iattr{ellip
\subsubsection{Atributes of an ellipse: example} % (fold)
\label{ssub:attributes_of_an_ellipse}
\begin{minipage}{.5\textwidth}
- \begin{verbatim}
- \begin{tkzelements}
- z.C = point: new (3 , 2)
- z.A = point: new (5 , 1)
- L.CA = line : new (z.C,z.A)
- z.b = L.CA.north_pa
- L = line : new (z.C,z.b)
- z.B = L : point (0.5)
- E = ellipse: new (z.C,z.A,z.B)
- a = E.Rx
- b = E.Ry
- z.F1 = E.Fa
- z.F2 = E.Fb
- slope = math.deg(E.slope)
- z.E = E.east
- z.N = E.north
- z.W = E.west
- z.S = E.south
- z.Co = E.covertex
- z.Ve = E.vertex
- \end{tkzelements}
- \begin{tikzpicture}
- \pgfkeys{/pgf/number format/.cd,fixed,precision=2}
- \tkzGetNodes
- \tkzDrawCircles[teal](C,A)
- \tkzDrawEllipse[red](C,\tkzUseLua{a},\tkzUseLua{b},
- \tkzUseLua{slope})
- \tkzDrawPoints(C,A,B,b,W,S,F1,F2)
- \tkzLabelPoints(C,A,B)
- \tkzDrawLine[add = .5 and .5](A,W)
- \tkzLabelSegment[pos=1.5,above,sloped](A,W){%
- slope = \pgfmathprintnumber{\tkzUseLua{slope}}}
- \tkzLabelPoint[below](S){South}
- \tkzLabelPoint[below left](F1){Focus 1}
- \tkzLabelPoint[below left](F2){Focus 2}
- \tkzLabelPoint[above right](Ve){Vertex ; East}
- \tkzLabelPoint[above right](Co){Covertex ; North}
- \end{tikzpicture}
- \end{verbatim}
+\begin{Verbatim}
+\begin{tkzelements}
+ z.C = point: new (3 , 2)
+ z.A = point: new (5 , 1)
+ L.CA = line : new (z.C,z.A)
+ z.b = L.CA.north_pa
+ L = line : new (z.C,z.b)
+ z.B = L : point (0.5)
+ E = ellipse: new (z.C,z.A,z.B)
+ a = E.Rx
+ b = E.Ry
+ z.F1 = E.Fa
+ z.F2 = E.Fb
+ slope = math.deg(E.slope)
+ z.E = E.east
+ z.N = E.north
+ z.W = E.west
+ z.S = E.south
+ z.Co = E.covertex
+ z.Ve = E.vertex
+\end{tkzelements}
+\begin{tikzpicture}
+ \pgfkeys{/pgf/number format/.cd,fixed,precision=2}
+ \tkzGetNodes
+ \tkzDrawCircles[teal](C,A)
+ \tkzDrawEllipse[red](C,\tkzUseLua{a},\tkzUseLua{b},
+ \tkzUseLua{slope})
+ \tkzDrawPoints(C,A,B,b,W,S,F1,F2)
+ \tkzLabelPoints(C,A,B)
+ \tkzDrawLine[add = .5 and .5](A,W)
+ \tkzLabelSegment[pos=1.5,above,sloped](A,W){%
+ slope = \pgfmathprintnumber{\tkzUseLua{slope}}}
+ \tkzLabelPoint[below](S){South}
+ \tkzLabelPoint[below left](F1){Focus 1}
+ \tkzLabelPoint[below left](F2){Focus 2}
+ \tkzLabelPoint[above right](Ve){Vertex ; East}
+ \tkzLabelPoint[above right](Co){Covertex ; North}
+\end{tikzpicture}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -121,10 +121,8 @@ The first attributes are the three points that define the ellipse : \Iattr{ellip
\label{sub:methods_of_the_class_ellipse}
Before reviewing the methods and functions related to ellipses, let's take a look at how you can draw ellipses with \pkg{tkz-elements}. The \tkzcname{tkzDrawEllipse} macro requires 4 arguments: the center of the ellipse, the long radius (on the focus axis), the short radius and the angle formed by the focus axis.
The last three arguments must be transferred from \tkzNameEnv{tkzelements} to \tkzNameEnv{tikzpicture}.
-To do this, you'll need to use a \pkg{tkz-elements }function: \Igfct{package}{set\_lua\_to\_tex}. See \ref{sec:math_functions} or the next examples.
+To do this, you'll need to use a macro: \tkzcname{tkzUseLua} defined in \pkg{tkz-elements}. Refer to \ref{ssub:other_transfers} or \ref{sub:transfer_from_lua_to_tex} or next examples.
-\vskip 1em
-\lefthand\ You need to proceed with care, because unfortunately at the moment, the macros you create are global and you can overwrite existing macros. One solution is either to choose a macro name that won't cause any problems, or to save the initial macro.
\bgroup
\catcode`_=12
@@ -139,9 +137,10 @@ To do this, you'll need to use a \pkg{tkz-elements }function: \Igfct{package}{se
\Imeth{ellipse}{foci (f1,f2,v)} & E = ellipse: foci ( focus 1, focus 2, vertex ) \\
\Imeth{ellipse}{radii (c,a,b,sl) } & E = ellipse: radii ( center, radius a, radius b, slope ) \\
\Imeth{ellipse}{in\_out (pt) } & pt in/out of the ellipse \\
-\Imeth{ellipse}{tangent\_at (pt) } & see example \ref{ssub:method_point} \\
-\Imeth{ellipse}{tangent\_from (pt) } & see example \ref{ssub:method_point} \\
-\Imeth{ellipse}{point (t) } & vertex = point (0) covertex = point (0.25) ex see \ref{ssub:method_point} \\
+\Imeth{ellipse}{tangent\_at (pt) } & Refer to ex. \ref{ssub:method_point} \\
+\Imeth{ellipse}{tangent\_from (pt) } & Refer to ex. \ref{ssub:method_point} \\
+\Imeth{ellipse}{point (t) } & vertex = point (0) covertex = point (0.25) ex Refer to \ref{ssub:method_point} \\
+\Imeth{ellipse}{orthoptic\_circle () } & Refer to ex. \ref{ssub:steiner_inellipse_and_circumellipse} \\
\bottomrule
\end{tabular}
@@ -150,10 +149,10 @@ To do this, you'll need to use a \pkg{tkz-elements }function: \Igfct{package}{se
\subsubsection{Method \Imeth{ellipse}{new}} % (fold)
\label{ssub:method_imeth_ellipse_new}
The main method for creating a new ellipse is \Imeth{ellipse}{new}. The arguments are three: \Iattr{ellipse}{center}, \Iattr{ellipse}{vertex} and \Iattr{ellipse}{covertex}
-For attributes see \ref{sec:classe_ellipse}
+For attributes Refer to \ref{sec:class_ellipse}.
\begin{minipage}{0.5\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.C = point: new (3 , 2)
z.A = point: new (5 , 1)
@@ -172,7 +171,7 @@ For attributes see \ref{sec:classe_ellipse}
\tkzDrawPoints(C,A,B)
\tkzLabelPoints(C,A,B)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{tkzelements}
@@ -200,53 +199,9 @@ The function \Igfct{package}{tkzUseLua (variable)} is used to transfer values to
\subsubsection{Method \Imeth{ellipse}{foci}} % (fold)
\label{ssub:function_tkzname_ellipse__foci}
-The first two points are the foci of the ellipse. The third one is the vertex. We can deduce all the other characteristics.
+The first two points are the foci of the ellipse, and the third one is the vertex. We can deduce all the other characteristics from these points.
+\emph{The function launches the |new| method, defining all the characteristics of the ellipse.}
-\emph{The function launches the |new| method, all the characteristics of the ellipse are defined.}
-
-\begin{minipage}{0.6\textwidth}
-\begin{verbatim}
-\begin{tkzelements}
- z.A = point: new (0 , 0)
- z.B = point: new (5 , 1)
- L.AB = line : new (z.A,z.B)
- z.C = point: new (.8 , 3)
- T.ABC = triangle: new (z.A,z.B,z.C)
- z.N = T.ABC.eulercenter
- z.H = T.ABC.orthocenter
- z.O = T.ABC.circumcenter
- _,_,z.Mc = get_points (T.ABC: medial ())
- L.euler = line: new (z.H,z.O)
- C.circum = circle: new (z.O,z.A)
- C.euler = circle: new (z.N,z.Mc)
- z.i,z.j = intersection (L.euler,C.circum)
- z.I,z.J = intersection (L.euler,C.euler)
- E = ellipse: foci (z.H,z.O,z.I)
- L.AH = line: new (z.A,z.H)
- z.X = intersection (L.AH,C.circum)
- L.XO = line: new (z.X,z.O)
- z.R,z.S = intersection (L.XO,E)
- a,b = E.Rx,E.Ry
- ang = math.deg(E.slope)
-\end{tkzelements}
-\begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawPolygon(A,B,C)
- \tkzDrawCircles[cyan](O,A N,I)
- \tkzDrawSegments(X,R A,X)
- \tkzDrawEllipse[red](N,\tkzUseLua{a},
- \tkzUseLua{b},\tkzUseLua{ang})
- \tkzDrawLines[add=.2 and .5](I,H)
- \tkzDrawPoints(A,B,C,N,O,X,H,R,S,I)
- \tkzLabelPoints[above](C,X)
- \tkzLabelPoints[above right](N,O)
- \tkzLabelPoints[above left](R)
- \tkzLabelPoints[left](A)
- \tkzLabelPoints[right](B,I,S,H)
- \end{tikzpicture}
-\end{verbatim}
-\end{minipage}
-\begin{minipage}{0.4\textwidth}
\begin{tkzelements}
scale =1
z.A = point: new (0 , 0)
@@ -271,6 +226,7 @@ The first two points are the foci of the ellipse. The third one is the vertex. W
a,b = E.Rx,E.Ry
ang = math.deg(E.slope)
\end{tkzelements}
+\hspace*{\fill}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawPolygon(A,B,C)
@@ -285,7 +241,53 @@ The first two points are the foci of the ellipse. The third one is the vertex. W
\tkzLabelPoints[left](A)
\tkzLabelPoints[right](B,I,S,H)
\end{tikzpicture}
-\end{minipage}
+\hspace*{\fill}
+\begin{Verbatim}
+\begin{tkzelements}
+ z.A = point: new (0 , 0)
+ z.B = point: new (5 , 1)
+ L.AB = line : new (z.A,z.B)
+ z.C = point: new (.8 , 3)
+ T.ABC = triangle: new (z.A,z.B,z.C)
+ z.N = T.ABC.eulercenter
+ z.H = T.ABC.orthocenter
+ z.O = T.ABC.circumcenter
+ _,_,z.Mc = get_points (T.ABC: medial ())
+ L.euler = line: new (z.H,z.O)
+ C.circum = circle: new (z.O,z.A)
+ C.euler = circle: new (z.N,z.Mc)
+ z.i,z.j = intersection (L.euler,C.circum)
+ z.I,z.J = intersection (L.euler,C.euler)
+ E = ellipse: foci (z.H,z.O,z.I)
+ L.AH = line: new (z.A,z.H)
+ z.X = intersection (L.AH,C.circum)
+ L.XO = line: new (z.X,z.O)
+ z.R,z.S = intersection (L.XO,E)
+ a,b = E.Rx,E.Ry
+ ang = math.deg(E.slope)
+\end{tkzelements}
+\end{Verbatim}
+\begin{Verbatim}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygon(A,B,C)
+ \tkzDrawCircles[cyan](O,A N,I)
+ \tkzDrawSegments(X,R A,X)
+ \tkzDrawEllipse[red](N,\tkzUseLua{a},
+ \tkzUseLua{b},\tkzUseLua{ang})
+ \tkzDrawLines[add=.2 and .5](I,H)
+ \tkzDrawPoints(A,B,C,N,O,X,H,R,S,I)
+ \tkzLabelPoints[above](C,X)
+ \tkzLabelPoints[above right](N,O)
+ \tkzLabelPoints[above left](R)
+ \tkzLabelPoints[left](A)
+ \tkzLabelPoints[right](B,I,S,H)
+ \end{tikzpicture}
+\end{Verbatim}
+
+
+
+
% subsubsection function_tkzname_ellipse__foci (end)
\subsubsection{Method \Imeth{ellipse}{point} and \Imeth{ellipse}{radii}} % (fold)
@@ -296,7 +298,7 @@ The first two points are the foci of the ellipse. The third one is the vertex. W
\begin{minipage}{0.6\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.C = point: new (2 , 3)
z.A = point: new (6 , 5)
@@ -316,18 +318,7 @@ The first two points are the foci of the ellipse. The third one is the vertex. W
L.K = E :tangent_at (z.K)
z.ka,z.kb = get_points(L.K)
\end{tkzelements}
-\begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawSegments(C,V C,CoV)
- \tkzDrawLines(x,y A,M A,N ka,kb)
- \tkzLabelSegment(C,V){$a$}
- \tkzLabelSegment[right](C,CoV){$b$}
- \tkzDrawEllipse[teal](C,\tkzUseLua{a},\tkzUseLua{b},\tkzUseLua{ang})
- \tkzDrawPoints(C,V,CoV,X,x,y,M,N,A,K)
- \tkzLabelPoints(C,V,A,M,N,K)
- \tkzLabelPoints[above left](CoV)
-\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.4\textwidth}
\begin{tkzelements}
@@ -362,8 +353,22 @@ z.ka,z.kb = get_points(L.K)
\tkzLabelPoints[above left](CoV)
\end{tikzpicture}
\end{minipage}
+
+\begin{Verbatim}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawSegments(C,V C,CoV)
+ \tkzDrawLines(x,y A,M A,N ka,kb)
+ \tkzLabelSegment(C,V){$a$}
+ \tkzLabelSegment[right](C,CoV){$b$}
+ \tkzDrawEllipse[teal](C,\tkzUseLua{a},\tkzUseLua{b},\tkzUseLua{ang})
+ \tkzDrawPoints(C,V,CoV,X,x,y,M,N,A,K)
+ \tkzLabelPoints(C,V,A,M,N,K)
+ \tkzLabelPoints[above left](CoV)
+\end{tikzpicture}
+\end{Verbatim}
% subsubsection method_point (end)
% subsection methods_of_the_class_ellipse (end)
-% section classe_ellipse (end)
+% section class_ellipse (end)
\endinput \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-line.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-line.tex
index 2aa2ce6537..741938eb66 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-line.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-line.tex
@@ -5,7 +5,7 @@
\subsection{Attributes of a line} % (fold)
\label{sub:attributes_of_a_line}
-Writing |L.AB = line: new (z.A,z.B)| creates an object of the class \tkzname{line} (the notation is arbitrary for the moment). Geometrically it is, as much ,the line passing through the points $A$ and $B$ as the segment $[AB]$. Thus we can use the midpoint of |L.AB| which is, of course, the midpoint of the segment $[AB]$. This medium is obtained with |L.AB.mid|. Note that |L.AB.pa = z.A| and |L.AB.pb = z.B|. Finally, if a line $L$ is the result of a method, you can obtain the points with |z.A,z.B = get_points (L)| or with the previous remark.
+Writing |L.AB = line: new (z.A,z.B)| creates an object of the class \tkzname{line} (the notation is arbitrary for the moment). Geometrically, it represents both the line passing through the points $A$ and $B$ as the segment $[AB]$. Thus, we can use the midpoint of |L.AB|, which is, of course, the midpoint of the segment $[AB]$. This medium is obtained with |L.AB.mid|. Note that |L.AB.pa = z.A| and |L.AB.pb = z.B|. Finally, if a line $L$ is the result of a method, you can obtain the points with |z.A,z.B = get_points (L)| or with the previous remark.
\begin{mybox}
Creation |L.AB = line : new ( z.A , z.B ) |
@@ -26,15 +26,15 @@ The attributes are :
\Iattr{line}{pb} & Second point of the segment & \\
\Iattr{line}{type} & Type is 'line' & |L.AB.type = 'line'| \\
\Iattr{line}{mid} & Middle of the segment& |z.M = L.AB.mid|\\
-\Iattr{line}{slope} & Slope of the line & see (\ref{ssub:example_class_line})\\
-\Iattr{line}{length} &|l = L.AB.length|&see (\ref{sub:transfer_from_lua_to_tex} ; \ref{ssub:example_class_line})\\
-\Iattr{line}{north\_pa} & &See (\ref{ssub:example_class_line}) \\
+\Iattr{line}{slope} & Slope of the line & Refer to (\ref{ssub:example_class_line})\\
+\Iattr{line}{length} &|l = L.AB.length|&Refer to (\ref{sub:transfer_from_lua_to_tex} ; \ref{ssub:example_class_line})\\
+\Iattr{line}{north\_pa} & &Refer to (\ref{ssub:example_class_line}) \\
\Iattr{line}{north\_pb} & &\\
\Iattr{line}{south\_pa} & &\\
-\Iattr{line}{south\_pb} & &See (\ref{ssub:example_class_line}) \\
+\Iattr{line}{south\_pb} & &Refer to (\ref{ssub:example_class_line}) \\
\Iattr{line}{east} & &\\
\Iattr{line}{west} & &\\
-\Iattr{line}{vec} & |V.AB = L.AB.vec|& defines $\overrightarrow{AB}$ See (\ref{sec:class_vector})\\
+\Iattr{line}{vec} & |V.AB = L.AB.vec|& defines $\overrightarrow{AB}$ Refer to (\ref{sec:class_vector})\\
\bottomrule
\end{tabular}
\egroup
@@ -42,7 +42,7 @@ The attributes are :
\subsubsection{Example: attributes of class line} % (fold)
\label{ssub:example_class_line}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .5
z.a = point: new (1, 1)
@@ -66,7 +66,7 @@ The attributes are :
\tkzLabelSegment[sloped](a,b){ab = \tkzUseLua{len}}
\tkzLabelSegment[above=12pt,sloped](a,b){slope of (ab) = \tkzUseLua{sl}}
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}\begin{tkzelements}
scale = .5
@@ -101,14 +101,14 @@ len = L.ab.length
\subsubsection{Method \Imeth{line}{new} and line attributes}
\label{ssub:example_line_attributes}
-Notation |L| or |L.AB| or |L.euler|. The notation is actually free.
+The notation can be |L| or |L.AB| or |L.euler|. The notation is actually free.
|L.AB| can also represent the segment.
With | L.AB = line : new (z.A,z.B)|, a line is defined.
\begin{minipage}{0.5\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new (1,1)
z.B = point : new (3,2)
@@ -124,7 +124,7 @@ With | L.AB = line : new (z.A,z.B)|, a line is defined.
\tkzMarkRightAngle(B,A,C)
\tkzMarkSegments(A,C A,B A,D)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{tkzelements}
@@ -150,7 +150,7 @@ With | L.AB = line : new (z.A,z.B)|, a line is defined.
\newpage
\subsection{Methods of the class line} % (fold)
\label{sub:methods_from_class_line}
-Here's the list of methods for the \tkzNameObj{line} object. The results are either reals, points, lines, circles or triangles. The triangles obtained are similar to the triangles defined below.
+Here's the list of methods for the \tkzNameObj{line} object. The results can be real numbers, points, lines, circles or triangles. The triangles obtained are similar to the triangles defined below.
\begin{minipage}{\textwidth}
\bgroup
@@ -161,46 +161,56 @@ Here's the list of methods for the \tkzNameObj{line} object. The results are eit
\toprule
\textbf{Methods} & \textbf{Comments} & \\
\midrule
-\Imeth{line}{new(pt, pt)} & |L.AB = line : new(z.A,z.B)| line $(AB)$& see (\ref{ssub:altshiller})\\
+\Igfct{line}{new(pt, pt)} & |L.AB = line : new(z.A,z.B)| & Create line $(AB)$ ; Refer to (\ref{ssub:altshiller})\\
\midrule
\textbf{Points} &&\\
\midrule
-\Imeth{line}{gold\_ratio ()} & |z.C = L.AB : gold_ratio()| & see (\ref{sub:gold_ratio_with_segment} ; \ref{sub:the_figure_pappus_circle} ; \ref{sub:bankoff_circle}) \\
-\Imeth{line}{normalize ()} & |z.C = L.AB : normalize()| & AC =1 and $C\in (AB)$ see (\ref{ssub:normalize}) \\
-\Imeth{line}{normalize\_inv ()} & |z.C = L.AB : normalize_inv()| & CB =1 and $C\in (AB)$ \\
- \Imeth{line}{barycenter (r,r)} & |z.C = L.AB : barycenter (1,2)| & see (\ref{ssub:barycenter_with_a_line})\\
- \Imeth{line}{point (r)} & |z.C = L.AB : point (2)| & $\overrightarrow{AC} = 2\overrightarrow{AB}$ See (\ref{sub:ellipse} ; \ref{ssub:method_point})\\
-\Imeth{line}{midpoint ()} & |z.M = L.AB : midpoint ()| & better is |z.M = L.AB.mid| \\
-\Imeth{line}{harmonic\_int (pt)} & |z.D = L.AB : harmonic_int (z.C)| & See (\ref{sub:bankoff_circle})\\
-\Imeth{line}{harmonic\_ext (pt)} & |z.D = L.AB : harmonic_ext (z.C)| & See (\ref{sub:bankoff_circle})\\
-\Imeth{line}{harmonic\_both (r)} & |z.C,z.D = L.AB : harmonic_both|($\varphi$) & \ref{sub:harmonic_division_with_tkzphi}\\
-\Imeth{line}{square ()} & |S.AB = L.AB : square () | & create a square |S.AB|.\footnote{ |_,_,z.C,z.D = get_points(S.AB)|}\\
+\Imeth{line}{gold\_ratio ()} & |z.C=L.AB : gold_ratio()| & Refer to (\ref{sub:gold_ratio_with_segment} ; \ref{sub:the_figure_pappus_circle} ; \ref{sub:bankoff_circle}) \\
+\Imeth{line}{normalize ()} & |z.C=L.AB : normalize()| & AC =1 and $C\in (AB)$ Refer to (\ref{ssub:normalize}) \\
+\Imeth{line}{normalize\_inv ()} & |z.C=L.AB : normalize_inv()| & CB=1 and $C\in (AB)$ \\
+\Imeth{line}{barycenter (r,r)} & |z.C=L.AB : barycenter (1,2)| & Refer to (\ref{ssub:barycenter_with_a_line})\\
+\Imeth{line}{point (r)} & |z.C=L.AB : point (2)| & $\overrightarrow{AC} = 2\overrightarrow{AB}$ Refer to (\ref{sub:ellipse} ; \ref{ssub:method_point})\\
+\Imeth{line}{midpoint ()} & |z.M=L.AB : midpoint ()| & better is |z.M = L.AB.mid| \\
+\Imeth{line}{harmonic\_int (pt)} & |z.D=L.AB : harmonic_int (z.C)| & Refer to (\ref{sub:bankoff_circle})\\
+\Imeth{line}{harmonic\_ext (pt)} & |z.D=L.AB : harmonic_ext (z.C)| & Refer to (\ref{sub:bankoff_circle})\\
+\Imeth{line}{harmonic\_both (r)} & |z.C,z.D=L.AB : harmonic_both|($\varphi$) & \ref{sub:harmonic_division_with_tkzphi}\\
+\Imeth{line}{\_east(d)} & |z.M=L.AB : _east(2)| & |BM = 2| $A,B,M$ aligned \\
+\Imeth{line}{\_west(d)} & |z.M=L.AB : _east(2)| & |BM = 2| $A,B,M$ aligned \\
+\Imeth{line}{\_north\_pa(d)} &|z.M=L.AB: _north_pa(2)| &|AM=2| $AM\perp AB$ ; $\overrightarrow{AB},\overrightarrow{AM}$ counterclockwise \\
+\Imeth{line}{\_south\_pa(d)} &|z.M=L.AB:_south_pa(2)| &|AM=2|; $AM\perp AB$ ; $\overrightarrow{AB},\overrightarrow{AM}$ clockwise \\
+\Imeth{line}{\_north\_pb(d)} &|z.M=L.AB:_north_pb(2)| &|BM=2|; $BM\perp BA$ ; $\overrightarrow{BA},\overrightarrow{BM}$ clockwise \\
+\Imeth{line}{\_south\_pb(d)} &|z.M=L.AB:_south_pb(2)| &|BM=2|; $BM\perp BA$ ; $\overrightarrow{AB},\overrightarrow{AM}$ counterclockwise \\
+\Imeth{line}{report(d,pt)} &|z.M=L.AB:report(2,z.N)| &|MN=2|; $AB\parallel MN$ ; Refer to ex. (\ref{ssub:method_report})\\
\midrule
\textbf{Lines} &&\\
\midrule
-\Imeth{line}{ll\_from ( pt )} & |L.CD = L.AB : ll_from (z.C)| & $(CD) \parallel (AB)$ \\
-\Imeth{line}{ortho\_from ( pt )} & |L.CD = L.AB : ortho_from (z.C)|& $(CD) \perp (AB)$\\
-\Imeth{line}{mediator ()}&|L.uv = L.AB : mediator ()| & $(u,v)$ mediator of $(A,B)$\\
+\Imeth{line}{ll\_from ( pt )} &|L.CD=L.AB: ll_from(z.C)| &$(CD) \parallel (AB)$ \\
+\Imeth{line}{ortho\_from ( pt )} &|L.CD=L.AB: ortho_from(z.C)|&$(CD) \perp (AB)$\\
+\Imeth{line}{mediator ()}&|L.uv=L.AB: mediator()| & $(u,v)$mediator of $(A,B)$\\
\midrule
\textbf{Triangles}&&\\
\midrule
-\Imeth{line}{equilateral (<swap>)} & |T.ABC = L.AB : equilateral ()| & $(\overrightarrow{AB},\overrightarrow{AC})>0$ or $<0$ with swap \footnote{Triangles are defined in the direct sense of rotation, unless the "swap" option is present.} \\
-\Imeth{line}{isosceles (an<,swap>)} & |T.ABC = L.AB : isosceles (math.pi/6)|& \\
-\Imeth{line}{two\_angles (an,an)} & |T.ABC = L.AB : two_angles (an,an)|&note \footnote{The given side is between the two angles} see ( ) \\
-\Imeth{line}{school ()} & Angle measurements are 30°,60° and 90°. & \\
+\Imeth{line}{equilateral (<swap>)} & |T.ABC=L.AB:equilateral()| & $(\overrightarrow{AB},\overrightarrow{AC})>0$ or $<0$ with swap \footnote{Triangles are defined in the direct sense of rotation, unless the "swap" option is present.} \\
+\Imeth{line}{isosceles (an<,swap>)}&|T.ABC=L.AB:isosceles(math.pi/6)|&\\
+\Imeth{line}{two\_angles (an,an)} &|T.ABC=L.AB:two_angles(an,an)|&note \footnote{The given side is between the two angles} Refer to (\ref{ssub:triangle_with_two__angles}) \\
+\Imeth{line}{school ()} & 30°,60°, 90° & \\
\Imeth{line}{sss (r,r)} & $AC=r$ $BC=r$ & \\
\Imeth{line}{as (r,an)} & $AC =r$ $\widehat{BAC} = an$& \\
\Imeth{line}{sa (r,an)} & $AC =r$ $\widehat{ABC} = an$& \\
\midrule
\textbf{Sacred triangles}&&\\
\midrule
-\Imeth{line}{gold (<swap>)} & |T.ABC = L.AB : gold ()| & right in $B$ and $AC = \varphi \times AB $ \\
-\Imeth{line}{euclide (<swap>)} & |T.ABC = L.AB : euclide ()| & $AB=AC$ and $(\overrightarrow{AB},\overrightarrow{AC}) = \pi/5$ \\
-\Imeth{line}{golden (<swap>)} & |T.ABC = L.AB : golden ()| &
+\Imeth{line}{gold (<swap>)} &|T.ABC=L.AB:gold()| & right in $B$ and $AC = \varphi \times AB $ \\
+\Imeth{line}{euclide (<swap>)} &|T.ABC=L.AB:euclide()| &$AB=AC$ ; $(\overrightarrow{AB},\overrightarrow{AC}) = \pi/5$ \\
+\Imeth{line}{golden (<swap>)} &|T.ABC=L.AB:golden()| &
$(\overrightarrow{AB},\overrightarrow{AC}) = 2\times \pi/5$ \\
\Imeth{line}{divine ()} & & \\
-\Imeth{line}{egyptian ()} & & \\
+\Imeth{line}{egyptian ()} & & \\
\Imeth{line}{cheops ()} & & \\
+\midrule
+\textbf{Squares}&&\\
+\midrule
+\Imeth{line}{square ()} &|S.AB=L.AB : square () | & create a square |S.AB|.\footnote{ |_,_,z.C,z.D = get_points(S.AB)|}\\
\bottomrule
\end{tabular}
\egroup
@@ -229,7 +239,7 @@ Here's the list of methods for the \tkzNameObj{line} object. The results are eit
\midrule
\textbf{Miscellaneous} &&\\
\midrule
-\Imeth{line}{distance (pt)} & |d = L.Ab : distance (z.C)| & see \ref{ssub:example_distance_and_projection}\\
+\Imeth{line}{distance (pt)} & |d = L.Ab : distance (z.C)| & Refer to \ref{ssub:example_distance_and_projection}\\
\Imeth{line}{in\_out (pt)} & |b = L.AB: in_out(z.C)| & b=true if $C\in (AB)$ \\
\Imeth{line}{slope ()} & |a = L.AB : slope()| & better is L.AB.slope \\
\Imeth{line}{in\_out\_segment (pt)} & |b = L.AB : in_out_segment(z.C)| & b=true if $C\in [AB$] \\
@@ -238,8 +248,46 @@ Here's the list of methods for the \tkzNameObj{line} object. The results are eit
\egroup
\end{minipage}
-\vspace{1 em}
-Here are a few examples.
+\subsubsection{Method report} % (fold)
+\label{ssub:method_report}
+
+|report (d,pt)| If the point is absent, the transfer is made from the first point that defines the line.
+
+\begin{minipage}{.5\textwidth}
+ \begin{Verbatim}
+ \begin{tkzelements}
+ z.A = point : new (1,-1)
+ z.B = point : new (5,0)
+ L.AB = line : new ( z.A , z.B )
+ z.M = point : new (2,3)
+ z.N = L.AB : report (3,z.M)
+ z.O = L.AB : report (3)
+ \end{tkzelements}
+ \begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawSegments(A,B M,N)
+ \tkzDrawPoints(A,B,M,N,O)
+ \tkzLabelPoints(A,B,M,N,O)
+ \end{tikzpicture}
+ \end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+z.A = point : new (1,-1)
+z.B = point : new (5,0)
+L.AB = line : new ( z.A , z.B )
+z.M = point : new (2,3)
+z.N = L.AB : report (3,z.M)
+z.O = L.AB : report (3)
+\end{tkzelements}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawSegments(A,B M,N)
+\tkzDrawPoints(A,B,M,N,O)
+\tkzLabelPoints(A,B,M,N,O)
+\end{tikzpicture}
+\end{minipage}
+% subsubsection method_report (end)
\subsubsection{Triangle with two\_angles} % (fold)
\label{ssub:triangle_with_two__angles}
@@ -247,7 +295,7 @@ Here are a few examples.
The angles are on either side of the given segment
\begin{minipage}{.4\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 4 , 0 )
@@ -262,7 +310,7 @@ The angles are on either side of the given segment
\tkzLabelPoints(A,B)
\tkzLabelPoints[above](C)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -290,9 +338,8 @@ The angles are on either side of the given segment
In the following example, a small difficulty arises. The given lengths are not affected by scaling, so it's necessary to use the \Igfct{math}{value (r) } function, which will modify the lengths according to the scale.
\begin{minipage}{.4\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
- scale =1.25
z.A = point : new ( 0 , 0 )
z.B = point : new ( 5 , 0 )
L.AB = line : new ( z.A , z.B )
@@ -306,18 +353,18 @@ In the following example, a small difficulty arises. The given lengths are not a
\tkzLabelPoints(A,B)
\tkzLabelPoints[above](C)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
- scale =1.25
z.A = point : new ( 0 , 0 )
z.B = point : new ( 5 , 0 )
L.AB = line : new ( z.A , z.B )
T.ABC = L.AB : sss (value(3),value(4))
z.C = T.ABC.pc
\end{tkzelements}
-\hspace{\fill} \begin{tikzpicture}[gridded]
+\hspace{\fill}
+ \begin{tikzpicture}[gridded]
\tkzGetNodes
\tkzDrawPolygons(A,B,C)
\tkzDrawPoints(A,B,C)
@@ -333,9 +380,9 @@ In the following example, a small difficulty arises. The given lengths are not a
In some cases, two solutions are possible.
\begin{minipage}{.4\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
- scale =1.2
+ scale =1
z.A = point : new ( 0 , 0 )
z.B = point : new ( 5 , 0 )
L.AB = line : new ( z.A , z.B )
@@ -349,15 +396,15 @@ In some cases, two solutions are possible.
\tkzDrawPoints(A,B,C,D)
\tkzLabelPoints(A,B)
\tkzLabelPoints[above](C,D)
- \tkzLabelAngle(C,B,A){$\pi/3$}
+ \tkzLabelAngle[teal](C,B,A){$\pi/6$}
\tkzLabelSegment[below left](A,C){$7$}
\tkzLabelSegment[below left](A,D){$7$}
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
- scale =1.2
+ scale =1
z.A = point : new ( 0 , 0 )
z.B = point : new ( 5 , 0 )
L.AB = line : new ( z.A , z.B )
@@ -371,7 +418,7 @@ In some cases, two solutions are possible.
\tkzDrawPoints(A,B,C,D)
\tkzLabelPoints(A,B)
\tkzLabelPoints[above](C,D)
- \tkzLabelAngle(C,B,A){$\pi/3$}
+ \tkzLabelAngle[teal](C,B,A){$\pi/6$}
\tkzLabelSegment[below left](A,C){$7$}
\tkzLabelSegment[below left](A,D){$7$}
\end{tikzpicture}
@@ -398,7 +445,7 @@ The side lengths are proportional to the lengths given in the table. They depend
\end{tabular}
\begin{minipage}{.4\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 4 , 0 )
@@ -422,7 +469,7 @@ The side lengths are proportional to the lengths given in the table. They depend
\tkzDrawPoints(A,...,H)
\tkzLabelPoints(A,...,H)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -462,7 +509,7 @@ This method exists for all objects except quadrilaterals.
\begin{minipage}{.4\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new (-1,-1)
z.B = point : new (1,1)
@@ -477,7 +524,7 @@ This method exists for all objects except quadrilaterals.
\tkzDrawPoints(A,B,I,J,K)
\tkzLabelPoints(A,B,I,J,K)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -502,22 +549,22 @@ This method exists for all objects except quadrilaterals.
\begin{minipage}{.4\textwidth}
- \begin{verbatim}
- \begin{tkzelements}
- z.a = point: new (1, 1)
- z.b = point: new (5, 4)
- L.ab = line : new (z.a,z.b)
- z.c = L.ab : normalize ()
- \end{tkzelements}
+\begin{Verbatim}
+\begin{tkzelements}
+ z.a = point: new (1, 1)
+ z.b = point: new (5, 4)
+ L.ab = line : new (z.a,z.b)
+ z.c = L.ab : normalize ()
+\end{tkzelements}
- \begin{tikzpicture}[gridded]
- \tkzGetNodes
- \tkzDrawSegments(a,b)
- \tkzDrawCircle(a,c)
- \tkzDrawPoints(a,b,c)
- \tkzLabelPoints(a,b,c)
- \end{tikzpicture}
- \end{verbatim}
+\begin{tikzpicture}[gridded]
+\tkzGetNodes
+\tkzDrawSegments(a,b)
+\tkzDrawCircle(a,c)
+\tkzDrawPoints(a,b,c)
+\tkzLabelPoints(a,b,c)
+\end{tikzpicture}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -543,7 +590,7 @@ This method exists for all objects except quadrilaterals.
\label{ssub:barycenter_with_a_line}
\begin{minipage}{.4\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , -1 )
z.B = point : new ( 4 , 2 )
@@ -556,7 +603,7 @@ This method exists for all objects except quadrilaterals.
\tkzDrawPoints(A,B,G)
\tkzLabelPoints(A,B,G)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -577,7 +624,7 @@ This method exists for all objects except quadrilaterals.
\subsubsection{Example: new line from a defined line} % (fold)
\label{ssub:new_line_from_a_defined_line}
\begin{minipage}{0.5\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale = 1.25
z.A = point : new (1,1)
@@ -597,7 +644,7 @@ This method exists for all objects except quadrilaterals.
\tkzMarkRightAngle(B,A,C)
\tkzMarkSegments(A,C A,B A,D)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{tkzelements}
@@ -629,7 +676,7 @@ _,z.E = get_points ( L.CD: ll_from (z.B))
\subsubsection{Example: projection of several points} % (fold)
\label{ssub:example_projection_of_several_points}
\begin{minipage}{0.5\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale = .8
z.a = point: new (0, 0)
@@ -645,7 +692,7 @@ _,z.E = get_points ( L.CD: ll_from (z.B))
\tkzDrawPoints(a,...,d,c',d')
\tkzLabelPoints(a,...,d,c',d')
\end{tikzpicture}
- \end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{tkzelements}
@@ -674,7 +721,7 @@ z.cp,z.dp = L.ab : projection(z.c,z.d)
\label{ssub:example_combination_of_methods}
\begin{minipage}{0.6\textwidth}
-\begin{tkzexample}[small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0 , 0)
z.B = point: new (6 , 0)
@@ -699,9 +746,11 @@ z.cp,z.dp = L.ab : projection(z.c,z.d)
\tkzFillAngles[teal!30,opacity=.4](A,C,B b,A,B A,O,H)
\tkzMarkAngles[mark=|](A,C,B b,A,B A,O,H H,O,B)
\tkzDrawPoints(A,B,C,H,O)
- \tkzLabelPoints(A,B,C,H,O)
+ \tkzLabelPoints(B,H)
+ \tkzLabelPoints[above](O,C)
+ \tkzLabelPoints[left](A)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.4\textwidth}
\begin{tkzelements}
@@ -730,7 +779,9 @@ z.a,z.b = L.ab.pa,L.ab.pb
\tkzFillAngles[teal!30,opacity=.4,,size=.5](A,C,B b,A,B A,O,H)
\tkzMarkAngles[mark=|,size=.5](A,C,B b,A,B A,O,H H,O,B)
\tkzDrawPoints(A,B,C,H,O)
-\tkzLabelPoints(A,B,C,H,O)
+\tkzLabelPoints(B,H)
+\tkzLabelPoints[above](O,C)
+\tkzLabelPoints[left](A)
\end{tikzpicture}
\hspace*{\fill}
\end{minipage}
@@ -741,7 +792,7 @@ z.a,z.b = L.ab.pa,L.ab.pb
\label{ssub:example_translation}
\begin{minipage}{0.6\textwidth}
-\begin{tkzexample}[small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0,0)
z.B = point: new (1,2)
@@ -756,7 +807,7 @@ z.a,z.b = L.ab.pa,L.ab.pb
\tkzLabelPoints(A,...,F)
\tkzDrawSegments[->,red,> =latex](C,E D,F A,B)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.4\textwidth}
\begin{tkzelements}
@@ -783,7 +834,7 @@ z.a,z.b = L.ab.pa,L.ab.pb
\label{ssub:example_distance_and_projection}
\begin{minipage}{0.5\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new (0 , 0)
z.B = point : new (5 , -2)
@@ -800,7 +851,7 @@ z.a,z.b = L.ab.pa,L.ab.pb
\tkzLabelSegment[above left,
draw](C,H){$CH = \tkzUseLua{d}$}
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{tkzelements}
@@ -829,26 +880,26 @@ z.a,z.b = L.ab.pa,L.ab.pb
\label{ssub:reflection_of_object}
\begin{minipage}{.5\textwidth}
- \begin{verbatim}
- \begin{tkzelements}
- z.A = point : new ( 0 , 0 )
- z.B = point : new ( 4 , 1 )
- z.E = point : new ( 0 , 2 )
- z.F = point : new ( 3 , 3 )
- z.G = point : new ( 4 , 2 )
- L.AB = line : new ( z.A , z.B )
- T.EFG = triangle : new (z.E,z.F,z.G)
- T.new = L.AB : reflection (T.EFG)
- z.Ep,z.Fp,z.Gp = get_points(T.new)
- \end{tkzelements}
- \begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawLine(A,B)
- \tkzDrawPolygon(E,F,G)
- \tkzDrawPolygon[new](E',F',G')
- \tkzDrawSegment[red,dashed](E,E')
- \end{tikzpicture}
- \end{verbatim}
+\begin{Verbatim}
+\begin{tkzelements}
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 4 , 1 )
+ z.E = point : new ( 0 , 2 )
+ z.F = point : new ( 3 , 3 )
+ z.G = point : new ( 4 , 2 )
+ L.AB = line : new ( z.A , z.B )
+ T.EFG = triangle : new (z.E,z.F,z.G)
+ T.new = L.AB : reflection (T.EFG)
+ z.Ep,z.Fp,z.Gp = get_points(T.new)
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawLine(A,B)
+ \tkzDrawPolygon(E,F,G)
+ \tkzDrawPolygon[new](E',F',G')
+ \tkzDrawSegment[red,dashed](E,E')
+\end{tikzpicture}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -876,7 +927,7 @@ z.a,z.b = L.ab.pa,L.ab.pb
\subsection{Apollonius circle MA/MB = k} % (fold)
\label{sub:apollonius_circle_ma_mb_k}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 6 , 0 )
@@ -901,7 +952,7 @@ z.a,z.b = L.ab.pa,L.ab.pb
\tkzMarkRightAngle[opacity=.3,fill=lightgray](O,P,C)
\tkzMarkAngles[mark=||](A,P,D D,P,B)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-matrices.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-matrices.tex
new file mode 100644
index 0000000000..04b874532d
--- /dev/null
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-matrices.tex
@@ -0,0 +1,1013 @@
+\newpage\section{Class \Iclass{matrix}} % (fold)
+\label{sec:matrices}
+
+The \code{matrix} class is currently experimental, and its attribute and method names have not yet been finalized, indicating that this class is still evolving. Certain connections have been made with other classes, such as the \code{point} class. Additionally, a new attribute, \code{mtx}, has been included, associating a column matrix with the point, where the elements correspond to the point's coordinates in the original base. Similarly, an attribute has been added to the \code{vector} class, where \code{mtx} represents a column matrix consisting of the two affixes that compose the vector.
+
+This \code{matrix} class has been created to avoid the need for an external library, and has been adapted to plane transformations. It allows you to use complex numbers.
+
+\lefthand\ To display matrices, you'll need to load the \pkg{amsmath} package.
+
+{\color{red}\lefthand\ } While some methods are valid for any matrix size, the majority are reserved for square matrices of order 2 and 3.
+
+
+\subsection{Matrix creation} % (fold)
+\label{sub:matrix_creation}
+
+\begin{itemize}
+
+\item The first method is: (Refer to \ref{ssub:method_new})
+
+ \begin{minipage}{.5\textwidth}
+ \begin{mybox}
+ |M = matrix: new ({{a,b},{c,d}}) | \\
+ or |M = matrix: new {{a,b},{c,d}} | \\
+ a, b, c, et d being real or complex numbers.
+ \end{mybox}
+ \end{minipage}
+ \begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+ M = matrix: new {{a,b},{c,d}}
+ tex.print('M = ') M : print ()
+ \end{tkzelements}
+
+ \end{minipage}
+
+
+\item It is also possible to obtain a square matrix with: (Refer to \ref{ssub:method_square})
+
+ \begin{mybox}
+ |M = matrix : square (2,a,b,c,d)|
+ \end{mybox}
+
+\item In the case of a column vector: (Refer to \ref{ssub:method_vector})
+
+\begin{minipage}{.5\textwidth}
+ \begin{mybox}
+ |V = matrix : vector (1,2,3)|
+ \end{mybox}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+ V = matrix : vector (1,2,3) tex.print('V = ') V : print ()
+ \end{tkzelements}
+\end{minipage}
+
+\item Homogeneous transformation matrix (Refer to \ref{ssub:method_htm})
+
+ The objective is to generate a matrix with homogeneous coordinates capable of transforming a coordinate system through rotation, translation, and scaling. To achieve this, it is necessary to define both the rotation angle, the coordinates of the new origin ans the scaling factors.
+
+\begin{minipage}{.5\textwidth}
+ \begin{mybox}
+ |H = matrix : htm (math.pi/3,1,2,2,1)|
+ \end{mybox}
+ \end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+ H = matrix : htm (math.pi/3,1,2,2,1)
+ tex.print('H = ') H: print ()
+ \end{tkzelements}
+ \end{minipage}
+
+\end{itemize}
+% subsection matrix_creation (end)
+
+\subsection{Display a matrix: method \code{print}} % (fold)
+\label{sub:display_a_matrix_method_print}
+
+
+This method (Refer to \ref{ssub:method_print}) is necessary to control the results, so here are a few explanations on how to use it. It can be used on real or complex matrices, square or not. A few options allow you to format the results. You need to load the \pkg{amsmath} package to use the "print" method. Without this package, it is possible to display the contents of the matrix without formatting with |print_array (M)|
+
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+ \begin{tkzelements}
+ M = matrix : new {{1,-1},{2,0}}
+ M : print ()
+ \end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+ M = matrix : new {{1,-1},{2,0}}
+ M : print ()
+ \end{tkzelements}
+\end{minipage}
+
+
+% subsection display_a_matrix_method_print (end)
+
+
+\subsection{Attibutes of a matrix} % (fold)
+\label{sub:attibutes_of_a_matrix}
+
+
+
+\bgroup
+\catcode`_=12
+\small
+\captionof{table}{Matrix attributes.}\label{matrix:att}
+\begin{tabular}{lll}
+\toprule
+\textbf{Attributes} & \textbf{Application} &\\
+\Iattr{matrix}{set} & |M.set = {{a,b},{c,d}}| & table of tables\\
+\Iattr{matrix}{rows} & |M.rows| & number of rows\\
+\Iattr{matrix}{cols} & |M.cols| & number of columns\\
+\Iattr{matrix}{type} & |M.type = "matrix"| & the type of object \\
+\Iattr{matrix}{det} & |M.det| & determinant of a square matrix or |nil|\\
+\bottomrule %
+\end{tabular}
+\egroup
+
+
+
+\subsubsection{Attribute \code{set}} % (fold)
+\label{sub:attribute_set}
+A simple array such as |{{1,2},{2,-1}}| is often considered a "matrix". In "tkz-elements", we'll consider |M| defined by |matrix : new ({{1,1},{0,2}})| as a matrix and |M.set| as an array (|M.set = {{1,1},{0,2}}|).
+
+You can access a particular element of the matrix, for example: |M.set[2][1]| gives \tkzUseLua{M.set[2][2]}.
+
+|\tkzUseLua{M.set[2][1]}| is the expression that displays $2$.
+
+The number of rows is accessed with |M.rows| and the number of columns with |M.cols|, here's an example:
+
+\vspace{.5em}
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+M = matrix : new ({{1,2,3},{4,5,6}})
+M : print ()
+tex.print("Rows: "..M.rows)
+tex.print("Cols: "..M.cols)
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+M = matrix : new ({{1,2,3},{4,5,6}})
+M : print ()
+tex.print("Rows: "..M.rows)
+tex.print("Cols: "..M.cols)
+\end{tkzelements}
+\end{minipage}
+% subsubsection attribute_set (end)
+
+\subsubsection{Determinant with real numbers} % (fold)
+\label{ssub:determinant_matrix}
+The matrix must be square. This library was created for matrices of dimension 2 or 3, but it is possible to work with larger sizes. |det| is an attribute of the "matrix" object, but the determinant can also be obtained with the function |determinant(M)|.
+
+\vspace{.5em}
+\begin{minipage}{.6\textwidth}
+\begin{Verbatim}
+ \begin{tkzelements}
+ M = matrix : square (3,1,1,0,2,-1,-2,1,-1,2)
+ M : print ()
+ tex.print ('\\\\')
+ tex.print ("Its determinant is: " .. M.det)
+ \end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.4\textwidth}
+\begin{tkzelements}
+M = matrix : square (3,1,1,0,2,-1,-2,1,-1,2)
+M : print ()
+tex.print ('\\\\')
+tex.print ("Its determinant is: "..M.det)
+\end{tkzelements}
+\end{minipage}
+% subsubsection determinant (end)
+
+\subsubsection{Determinant with complex numbers} % (fold)
+\label{ssub:determinant_with_complex_numbers}
+
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ a = point :new (1,-2)
+ b = point :new (0,1)
+ c = point :new (1,1)
+ d = point :new (1,-1)
+ A = matrix : new ({{a, b}, {c,d}})
+ tex.print(tostring(A.det))
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+ a = point :new (1,-2)
+ b = point :new (0,1)
+ c = point :new (1,1)
+ d = point :new (1,-1)
+ A = matrix : new ({{a, b}, {c,d}})
+ tex.print(tostring(A.det))
+\end{tkzelements}
+\end{minipage}
+% subsubsection determinant_with_complex_numbers (end)
+% subsection attibutes_of_a_matrix (end)
+
+
+
+
+\subsection{Metamethods for the matrices} % (fold)
+\label{sub:metamethods_for_the_matrices}
+Conditions on matrices must be valid for certain operations to be possible.
+
+\bgroup
+\catcode`_=12
+\small
+\begin{minipage}{\textwidth}
+\captionof{table}{Matrix metamethods.}\label{matrix:meta}
+\begin{tabular}{lll}
+ \toprule
+ \textbf{Metamethods} & \textbf{Application} \\
+ \midrule
+\_\_\Immeth{matrix}{add(M1,M2)} & |M1 + M2| & \\
+\_\_\Immeth{matrix}{sub(M1,M2)} & |M1 - M2| & \\
+\_\_\Immeth{matrix}{unm(M} & |- M| & \\
+\_\_\Immeth{matrix}{mul(M1,M2)} & |M1 * M2| & \\
+\_\_\Immeth{matrix}{pow(M,n)} & |M ^ n| & n integer > or < 0 or |'T'|\\
+\_\_\Immeth{matrix}{tostroing(M,n)} & tex.print(tostring(M)) & displays the matrix \\
+\_\_\Immeth{matrix}{eq(M1,M2)} & true or false & \\
+\bottomrule
+\end{tabular}
+\end{minipage}
+\egroup
+
+\subsubsection{Addition and subtraction of matrices} % (fold)
+\label{ssub:addition_of_matrices}
+To simplify the entries, I've used a few functions to simplify the displays.
+
+\vspace{.5em}
+\begin{minipage}{.6\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ A = matrix : new ({{1,2},{2,-1}})
+ B = matrix : new ({{-1,0},{1,3}})
+ S = A + B
+ D = A - B
+ dsp(A,'A')
+ nl() nl()
+ dsp(B,'B')
+ nl() nl()
+ dsp(S,'S') sym(" = ") dsp(A) sym(' + ') dsp(B)
+ nl() nl()
+ dsp(D,'D') sym(" = ") dsp(A) sym(' - ') dsp(B)
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.4\textwidth}
+\begin{tkzelements}
+ local function dsp (M,name)
+ if name then
+ tex.print(name..' = ')print_matrix(M)
+ else print_matrix(M)
+ end
+ end
+ local function sym (s)
+ tex.print(' '..s..' ')
+ end
+ local function nl ()
+ tex.print('\\\\')
+ end
+
+ A = matrix : new ({{1,2},{2,-1}})
+ B = matrix : new ({{-1,0},{1,3}})
+ S = A + B
+ D = A - B
+dsp(A,'A')
+nl() nl()
+dsp(B,'B')
+nl() nl()
+dsp(S,'S') sym(" = ") dsp(A) sym(' + ') dsp(B)
+nl() nl()
+dsp(D,'D') sym(" = ") dsp(A) sym(' - ') dsp(B)
+\end{tkzelements}
+\end{minipage}
+% subsubsection addition_of_matrices (end)
+
+
+\subsubsection{Multiplication and power of matrices} % (fold)
+\label{ssub:multiplication_of_matrices}
+To simplify the entries, I've used a few functions. You can find their definitions in the sources section of this documentation.
+
+\begin{minipage}{.5\textwidth}
+ \begin{Verbatim}
+ \begin{tkzelements}
+ A = matrix : new ({{1,2},{2,-1}})
+ B = matrix : new ({{-1,0},{1,3}})
+ P = A * B
+ I = A^-1
+ C = A^3
+ K = 2 * A
+ T = A^'T'
+ \end{tkzelements}
+ \end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+ local function dsp (M,name)
+ if name then
+ tex.print(name..' = ')print_matrix(M)
+ else print_matrix(M) end
+ end
+ local function sym (s)
+ tex.print(' '..s..' ')
+ end
+ local function nl ()
+ tex.print('\\\\')
+ end
+ A = matrix : new ({{1,2},{2,-1}})
+ B = matrix : new ({{-1,0},{1,3}})
+ P = A * B
+ I = A ^-1
+ C = A ^3
+ K = 2 * A
+ dsp(P,'P') sym(" = ") dsp(A) sym(' * ') dsp(B)
+ nl() nl()
+ dsp(A^-1,'$A^{-1}$')
+ nl() nl()
+ dsp(K,'K')
+ nl() nl()
+ dsp(A^('T'),"$A^{T}$")
+ nl() nl()
+\end{tkzelements}
+\end{minipage}
+
+\subsubsection{Metamethod \code{eq}} % (fold)
+\label{ssub:metamthod_eq}
+Test whether two matrices are equal or identical.
+% subsubsection metamthod_eq (end)
+% subsubsection multiplication_of_matrices (end)
+% subsection metamethods_for_the_matrices (end)
+
+
+\subsection{Methods of the class matrix} % (fold)
+\label{sub:methods_of_the_class_matrix}
+
+\bgroup
+\catcode`_=12
+\small
+\captionof{table}{Matrix methods.}\label{matrix:met}
+\begin{tabular}{lll}
+\toprule
+\textbf{Functions} & \textbf{Comments} & \\
+\midrule
+\Igfct{matrix}{new(...)} & |M = matrix : new ({{1,2},{2,-1}})| & \\
+\Igfct{matrix}{square()} & |M = matrix : square (2,1,2,2,-1)| & \\
+\Igfct{matrix}{vector()} & |M = matrix : vector (2,1)| & \\
+\Igfct{matrix}{htm()} & |M = matrix : htm (2,1,2,2,-1)| & \\
+\midrule
+\textbf{Methods} & \textbf{Comments} & \\
+\midrule
+\Imeth{matrix}{print(s,n)} & |M : print ()| & s='matrix' or ... default 'bmatrix' \\
+\Imeth{matrix}{htm\_apply(...)} & |M : htm_apply (...)| & \\
+\Imeth{matrix}{get()} & |M : get (i,j)| & i = raws , j = cols Refer to \ref{ssub:get_an_element_of_a_matrix} \\
+\Imeth{matrix}{inverse()} & |M : inverse ()| & \\
+\Imeth{matrix}{adjugate()} & |M : adjugate ()| & \\
+\Imeth{matrix}{transpose()} & |M : transpose ()| & \\
+\Imeth{matrix}{is\_diagonal()} & |true or false| & result :boolean \\
+\Imeth{matrix}{is\_orthogonal()} & |true or false| & \\
+\Imeth{matrix}{homogenization()} & |M : homogenization ()| & \\
+\bottomrule
+\end{tabular}
+\egroup
+
+\subsubsection{Function \code{new}} % (fold)
+\label{ssub:method_new}
+
+This is the main method for creating a matrix. Here's an example of a 2x3 matrix with complex coefficients:
+
+\vspace{.5em}
+\begin{minipage}{.5\textwidth}
+ \begin{Verbatim}
+ \begin{tkzelements}
+ a = point : new (1,0)
+ b = point : new (1,1)
+ c = point : new (-1,1)
+ d = point : new (0,1)
+ e = point : new (1,-1)
+ f = point : new (0,-1)
+ M = matrix : new ({{a,b,c},{d,e,f}})
+ M : print ()
+ \end{tkzelements}
+ \end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+a = point : new (1,0)
+b = point : new (1,1)
+c = point : new (-1,1)
+d = point : new (0,1)
+e = point : new (1,-1)
+f = point : new (0,-1)
+M = matrix : new ({{a,b,c},{d,e,f}})
+M : print ()
+\end{tkzelements}
+\end{minipage}
+% subsubsection method_new (end)
+
+
+\subsubsection{Function \code{vector}} % (fold)
+\label{ssub:method_vector}
+
+The special case of a column matrix, frequently used to represent a vector, can be treated as follows:
+
+\vspace{.5em}
+\begin{minipage}{.5\textwidth}
+ \begin{Verbatim}
+ \begin{tkzelements}
+ M = matrix : vector (1,2,3)
+ M : print ()
+ \end{tkzelements}
+ \end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+ M = matrix : vector (1,2,3)
+ M : print ()
+ \end{tkzelements}
+\end{minipage}
+% subsubsection method_vector (end)
+
+\subsubsection{Method \code{homogenization}} % (fold)
+\label{ssub:method_homogenization}
+
+\code{homogenization} of vector: the aim is to be able to use a homogeneous transformation matrix
+
+Let's take a point $A$ such that |z.A = point : new (2,-1)|. In order to apply a \code{htm} matrix, we need to perform a few operations on this point. The first is to determine the vector (matrix) associated with the point. This is straightforward, since there's a point attribute called \code{mtx} which gives this vector:
+
+\begin{mybox}
+z.A = point : new (2,-1)\\
+V = z.A.mtx : homogenization ()
+\end{mybox}
+which gives:
+
+\begin{minipage}{.5\textwidth}
+ \begin{Verbatim}
+ \begin{tkzelements}
+ pi = math.pi
+ M = matrix : htm (pi/4 , 3 , 1)
+ z.A = point : new (2,-1)
+ V = z.A.mtx : homogenization ()
+ z.A.mtx : print ()
+ tex.print ('then after homogenization: ')
+ V : print ()
+ \end{tkzelements}
+ \end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+ pi = math.pi
+ M = matrix : htm (pi/4 , 3 , 1)
+ z.A = point : new (2,-1)
+ V = z.A.mtx : homogenization ()
+ z.A.mtx : print ()
+ tex.print ('then after homogenization: ')
+ V : print ()
+\end{tkzelements}
+\end{minipage}
+% subsubsection method_homogenization (end)
+
+
+\subsubsection{Function \code{htm}: homogeneous transformation matrix} % (fold)
+\label{ssub:method_htm}
+
+There are several ways of using this transformation. First, we need to create a matrix that can associate a rotation with a translation.
+
+The main method is to create the matrix:
+
+\begin{mybox}
+ pi = math.pi\\
+ M = matrix : htm (pi/4 , 3 , 1)
+\end{mybox}
+
+A 3x3 matrix is created which combines a $\pi/4$ rotation and a $\overrightarrow{t}=(3,1)$ translation.
+
+\begin{tkzelements}
+ pi = math.pi
+ M = matrix : htm (pi/4 , 3 , 1)
+ M : print ()
+\end{tkzelements}
+
+
+Now we can apply the matrix M. Let $A$ be the point defined here: \ref{ssub:method_homogenization}. By homogenization, we obtain the column matrix $V$.
+
+
+\begin{mybox}
+W = A * V
+\end{mybox}
+
+\begin{tkzelements}
+pi = math.pi
+M = matrix : htm (pi/4 , 3 , 1)
+M :print ()
+z.A = point : new (2,-1)
+V = z.A.mtx : homogenization ()
+V : print () tex.print('=')
+W = M * V
+W : print ()
+\end{tkzelements}
+
+All that remains is to extract the coordinates of the new point.
+% subsubsection method_htm (end)
+
+\subsubsection{Method \code {get\_htm\_point}} % (fold)
+\label{ssub:method_code_get__htm__point}
+
+In the previous section, we obtained the $W$ matrix. Now we need to obtain the point it defines.
+
+The method \code{get\_htm\_point} extracts a point from a vector obtained after applying a \code{htm} matrix.
+
+\begin{minipage}{.5\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+ W : print ()
+ z.P = get_htm_point(W)
+ tex.print("The affix of $P$ is: ")
+ tex.print(display(z.P))
+\end{tkzelements}
+\end{verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+ W : print ()
+ z.P = get_htm_point(W)
+ tex.print("The affix of $P$ is: ")
+ tex.print(display(z.P))
+\end{tkzelements}
+\end{minipage}
+% subsubsection method_code_get__htm__point (end)
+
+
+\subsubsection{Method \code{htm\_apply}} % (fold)
+\label{ssub:method_code_htm__apply}
+The above operations can be simplified by using the \code{htm\_apply} method directly at point $A$.
+
+\begin{mybox}
+|z.Ap = M: htm_apply (z.A)|\\
+% display (z.Ap)
+\end{mybox}
+
+Then the method \code{htm\_apply} transforms a point, a list of points or an object.
+
+ \begin{tkzelements}
+pi = math.pi
+M = matrix : htm (pi/4 , 3 , 1 )
+z.O = point : new (0,0)
+V.ori = z.O.mtx : homogenization ()
+z.I = point : new (1,0)
+z.J = point : new (0,1)
+z.A = point: new (2,0)
+z.B = point: new (1,2)
+L.AB = line : new (z.A,z.B)
+z.Op,z.Ip,z.Jp = M : htm_apply (z.O,z.I,z.J)
+L.ApBp = M : htm_apply (L.AB)
+z.Ap = L.ApBp.pa
+z.Bp = L.ApBp.pb
+z.K = point : new (2,2)
+T = triangle : new ( z.I , z.J , z.K )
+Tp = M : htm_apply (T)
+z.Kp = Tp.pc
+\end{tkzelements}
+
+\begin{minipage}{.6\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ pi = math.pi
+ M = matrix : htm (pi/4 , 3 , 1 )
+ z.O = point : new (0,0)
+ V.ori = z.O.mtx : homogenization ()
+ z.I = point : new (1,0)
+ z.J = point : new (0,1)
+ z.A = point: new (2,0)
+ z.B = point: new (1,2)
+ L.AB = line : new (z.A,z.B)
+ z.Op,z.Ip,z.Jp = M : htm_apply (z.O,z.I,z.J)
+ L.ApBp = M : htm_apply (L.AB)
+ z.Ap = L.ApBp.pa
+ z.Bp = L.ApBp.pb
+ z.K = point : new (2,2)
+ T = triangle : new ( z.I , z.J , z.K )
+ Tp = M : htm_apply (T)
+ z.Kp = Tp.pc
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.4\textwidth}
+\begin{tikzpicture}[gridded]
+ \tkzGetNodes
+ \tkzDrawPoints(O,O',A,B,A',B',K,K')
+ \tkzLabelPoints(O,O',A,B,A',B',I,J,I',J',K,K')
+ \tkzDrawSegments[->](O,I O,J O',I' O',J')
+ \tkzDrawLines (A,B A',B')
+ \tkzDrawPolygons[red](I,J,K I',J',K')
+\end{tikzpicture}
+\end{minipage}
+
+\vspace{.5 em}
+
+New cartesian coordinates system:
+
+\vspace{.5 em}
+\begin{minipage}{.5\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+ pi = math.pi
+ tp = tex.print
+ nl = '\\\\'
+ a = point(1,0)
+ b = point(0,1)
+ R = matrix : htm (pi/5,2,1)
+ R : print () tp(nl)
+ v = matrix : vector (1,2)
+ v : print ()
+ v.h = v : homogenization ()
+ v.h : print () tp(nl)
+ V = R * v.h
+ V : print ()
+ z.N = get_htm_point(V)
+ tex.print(display(z.N))
+\end{tkzelements}
+\end{verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+ pi = math.pi
+ tp = tex.print
+ nl = '\\\\'
+ a = point(1,0)
+ b = point(0,1)
+ R = matrix : htm (pi/5,2,1)
+ R : print () tp(nl)
+ v = matrix : vector (1,2)
+ v : print ()
+ v.h = v : homogenization ()
+ v.h : print () tp(nl)
+ V = R * v.h
+ V : print ()
+ z.N = get_htm_point(V)
+ tex.print(display(z.N))
+ \end{tkzelements}
+\end{minipage}
+
+% subsubsection method_code_htm__apply (end)
+
+
+
+\subsubsection{Function \code{square}} % (fold)
+\label{ssub:method_square}
+
+We have already seen this method in the presentation of matrices. We first need to give the order of the matrix, then the coefficients, row by row.
+
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+M = matrix : square (2,2,3,-5,4)
+M : print ()
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+M = matrix : square (2,2,3,-5,4)
+M : print ()
+tex.print(S)
+\end{tkzelements}
+\end{minipage}
+
+% subsubsection method_square (end)
+
+\subsubsection{Method \Imeth{matrix}{print}} % (fold)
+\label{ssub:method_print}
+
+With the \pkg{amsmath} package loaded, this method can be used. By default, the \code{bmatrix} environment is selected, although you can choose from \code{matrix}, \code{pmatrix}, \code{Bmatrix}, "vmatrix", "Vmatrix". Another option lets you set the number of digits after the decimal point. The "tkz\_dc" global variable is used to set the number of decimal places. Here's an example:
+
+\vspace{.5em}
+\begin{Verbatim}
+\begin{tkzelements}
+ M = matrix : new ({{math.sqrt(2),math.sqrt(3)},{math.sqrt(4),math.sqrt(5)}})
+ M : print ('pmatrix')
+\end{tkzelements}
+\end{Verbatim}
+
+\begin{tkzelements}
+ M = matrix : new ({{math.sqrt(2),math.sqrt(3)},{math.sqrt(4),math.sqrt(5)}})
+ tkz_dc = 3
+ M : print ('pmatrix')
+\end{tkzelements}
+
+
+\vspace{.5em}
+You can also display the matrix as a simple array using the |print_array (M)| function. refer to the next example.
+
+In the case of a square matrix, it is possible to transmit a list of values whose first element is the order of the matrix.
+
+\vspace{.5em}
+\begin{minipage}{.5\textwidth}
+ \begin{Verbatim}
+ \begin{tkzelements}
+ M = matrix : square (2,1,0,0,2)
+ M : print ()
+ \end{tkzelements}
+ \end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+ M = matrix : square (2,1,0,0,2)
+ M : print ()
+ \end{tkzelements}
+\end{minipage}
+% subsubsection method_print (end)
+
+\subsubsection{Display a table or array: function \code{print\_array}} % (fold)
+\label{ssub:display_a_table_or_array_function_code_print_array}
+
+We'll need to display results, so let's look at the different ways of displaying them, and distinguish the differences between arrays and matrices.
+
+Below, $A$ is an array. It can be displayed as a simple array or as a matrix, but we can't use the attributes and |A : print ()| is not possible because $A$ is not an object of the class \code{matrix}. If you want to display an array like a matrix you can use the function |print_matrix| (refer to the next example).
+
+\vspace{.5em}
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ A = {{1,2},{1,-1}}
+ tex.print ('A = ') print_array (A)
+ tex.print (' or ')
+ print_matrix (A)
+ M = matrix : new ({{1,1},{0,2}})
+ tex.print ('\\\\')
+ tex.print ('M = ') M : print ()
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+ \begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+ A = {{1,2},{1,-1}}
+ tex.print ('A = ') print_array (A)
+ tex.print (' or ')
+ print_matrix (A)
+ M = matrix : new ({{1,1},{0,2}})
+ tex.print ('\\\\')
+ tex.print ('M = ') M : print ()
+\end{tkzelements}
+ \end{minipage}
+
+
+% subsubsection display_a_table_or_array_function_code_print_array (end)
+
+\subsubsection{Get an element of a matrix: method \Imeth{matrix}{get}} % (fold)
+\label{ssub:get_an_element_of_a_matrix}
+
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+ \begin{tkzelements}
+ M = matrix : new {{1,2},{2,-1}}
+ S = M: get(1,1) + M: get(2,2)
+ tex.print(S)
+ \end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+M = matrix : new {{1,2},{2,-1}}
+S = M: get(1,1) + M: get(2,2)
+tex.print(S)
+\end{tkzelements}
+\end{minipage}
+
+
+% subsubsection get_an_element_of_a_matrix (end)
+
+\subsubsection{Inverse matrix: : method \Imeth{matrix}{inverse}} % (fold)
+\label{ssub:inverse_matrix}
+
+\begin{minipage}{.6\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ A = matrix : new ({{1,2},{2,-1}})
+ tex.print("Inverse of $A = $")
+ B = A : inverse ()
+ B : print ()
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.4\textwidth}
+\begin{tkzelements}
+ A = matrix : new ({{1,2},{2,-3}})
+ tex.print("Inverse of $A = $")
+ B = A : inverse ()
+ B : print ()
+\end{tkzelements}
+\end{minipage}
+% subsubsection inverse_matrix (end)
+
+\subsubsection{Inverse matrix with power syntax} % (fold)
+\label{ssub:inverse_matrix_with_power_syntax}
+
+\begin{minipage}{.6\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ M = matrix : new ({{1,0,1},{1,2, 1},{0,-1,2}})
+ tex.print("$M = $") print_matrix (M)
+ tex.print('\\\\')
+ tex.print("Inverse of $M = M^{-1} = $")
+ print_matrix (M^-1)
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.4\textwidth}
+\begin{tkzelements}
+ M = matrix : new ({{1,0,1},{1,2,1},{0,-1,2}})
+ tex.print("$M = $") print_matrix (M) tex.print('\\\\')
+ tex.print("Inverse of $M = M^{-1} = $")
+ print_matrix (M^-1)
+\end{tkzelements}
+\end{minipage}
+% subsubsection inverse_matrix_with_power_syntax (end)
+
+
+\subsubsection{Transpose matrix: method \Imeth{matrix}{transpose}} % (fold)
+\label{ssub:transpose_matrix}
+
+A transposed matrix can be accessed with |A: transpose ()| or with |A^{'T'}|.
+
+\vspace{.5em}
+\begin{minipage}{.6\textwidth}
+ \begin{Verbatim}
+ \begin{tkzelements}
+ A = matrix : new ({{1,2},{2,-1}})
+ AT = A : transpose ()
+ tex.print("$A^{'T'} = $")
+ AT : print ()
+ \end{tkzelements}
+ \end{Verbatim}
+\end{minipage}
+\begin{minipage}{.4\textwidth}
+ \begin{tkzelements}
+ A = matrix : new ({{1,2},{2,-1}})
+ AT = A : transpose ()
+ tex.print("$A^{'T'} = $")
+ AT : print ()
+ \end{tkzelements}
+\end{minipage}
+
+\vspace{.5em}
+Remark: |(A ^'T')^'T' = A|
+
+% subsubsection transpose_matrix (end)
+% subsection methods_of_the_class_matrix (end)
+
+\subsubsection{Method method \Imeth{matrix}{adjugate}} % (fold)
+\label{ssub:method_adjugate}
+
+\begin{minipage}{.6\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ N = matrix : new {{1, 0, 3},{2, 1, 0},{-1, 2, 0}}
+ tex.print('N = ') print_matrix(N)
+ tex.print('\\\\')
+ N.a = N : adjugate ()
+ N.i = N * N.a
+ tex.print('adj(N) = ') N.a : print ()
+ tex.print('\\\\')
+ tex.print('N $\\times$ adj(N) = ') print_matrix(N.i)
+ tex.print('\\\\')
+ tex.print('det(N) = ') tex.print(N.det)
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.4\textwidth}
+\begin{tkzelements}
+ N = matrix : new {{1, 0, 3},{2, 1, 0},{-1, 2, 0}}
+ tex.print('N = ') print_matrix(N)
+ N.a = N : adjugate ()
+ N.i = N * N.a
+ tex.print('adj(N) = ') N.a : print ()
+ tex.print('\\\\')
+ tex.print('N $\\times$ adj(N) = ') print_matrix(N.i)
+ tex.print('\\\\')
+ tex.print('det(N) = ') tex.print(N.det)
+\end{tkzelements}
+\end{minipage}
+
+% subsubsection method_adjugate (end)
+
+\subsubsection{Method method \Imeth{matrix}{identity}}% (fold)
+\label{ssub:methode_identity}
+
+Creating the identity matrix order 3
+
+
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+ \begin{tkzelements}
+ Id_3 = matrix : identity (3)
+ Id_3 : print ()
+ \end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+Id_3 = matrix : identity (3)
+Id_3 : print ()
+\end{tkzelements}
+\end{minipage}
+% subsubsection methode_identity (end)
+
+
+\newpage
+
+\subsubsection{Diagonalization: method \code{diagonalize}} % (fold)
+\label{ssub:diagonalization}
+
+For the moment, this method only concerns matrices of order 2.
+
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+ \begin{tkzelements}
+ A = matrix : new {{5,-3}, {6,-4}}
+ tex.print('A = ') A : print ()
+ D,P = A : diagonalize ()
+ tex.print('D = ') D : print ()
+ tex.print('P = ') P : print ()
+ R = P^(-1)*A*P
+ tex.print('\\\\')
+ tex.print('Test: $D = P^{-1}AP = $ ')
+ R : print ()
+ tex.print('\\\\')
+ tex.print('Verification: $P^{-1}P = $ ')
+ T = P^(-1)*P
+ T : print ()
+ \end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+ A = matrix : new {{5,-3}, {6,-4}}
+ tex.print('A = ') A : print ()
+ D,P = A : diagonalize ()
+ tex.print('D = ') D : print ()
+ tex.print('P = ') P : print ()
+ R = P^(-1)*A*P
+ tex.print('\\\\')
+ tex.print('Test: $D = P^{-1}AP = $ ')
+ R : print ()
+ tex.print('\\\\')
+ tex.print('Verification: $P^{-1}P = $ ')
+ T = P^(-1)*P
+ T : print ()
+ \end{tkzelements}
+\end{minipage}
+% subsubsection diagonalization (end)
+
+\subsubsection{Method \Imeth{matrix}{is\_orthogonal}} % (fold)
+\label{ssub:method_is_orthogonal}
+
+The method returns \code{true} if the matrix is orthogonal and \code{false} otherwise.
+
+\begin{Verbatim}
+ \begin{tkzelements}
+ local cos = math.cos
+ local sin = math.sin
+ local pi = math.pi
+ A = matrix : new ({{cos(pi/6),-sin(pi/6)}, {sin(pi/6),cos(pi/6)}})
+ A : print ()
+ bool = A : is_orthogonal ()
+ tex.print('\\\\')
+ if bool
+ then
+ tex.print("The matrix is orthogonal")
+ else
+ tex.print("The matrix is not orthogonal")
+ end
+ tex.print('\\\\')
+ tex.print('Test: $A^T = A^{-1} ?$')
+ print_matrix(transposeMatrix (A))
+ tex.print('=')
+ inv_matrix (A) : print ()
+ \end{tkzelements}
+\end{Verbatim}
+
+\begin{tkzelements}
+local cos = math.cos
+local sin = math.sin
+local pi = math.pi
+A = matrix : new ({{cos(pi/6),-sin(pi/6)}, {sin(pi/6),cos(pi/6)}})
+A : print ()
+bool = A : is_orthogonal ()
+tex.print('\\\\')
+if bool then tex.print("The matrix is orthogonal") else tex.print("The matrix is not orthogonal") end
+tex.print('\\\\')
+tex.print('Test: $A^T = A^{-1} ?$')
+print_matrix(transposeMatrix (A))
+tex.print('=')
+inv_matrix (A) : print ()
+\end{tkzelements}
+% subsubsection method_is_orthogonal (end)
+
+\subsubsection{Method \Imeth{matrix}{is\_diagonal}} % (fold)
+\label{ssub:method_is_diagonal}
+
+The method returns \code{true} if the matrix is diagonal and \code{false} otherwise.
+
+% subsubsection method_is_diagonal (end)
+
+% section matrices (end) \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-misc.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-misc.tex
index d0867da269..c8c5cccd8f 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-misc.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-misc.tex
@@ -17,10 +17,10 @@
%tkzround( num, idp ) & \\
% Cramer33(a1,a2,a3,b1,b2,b3,c1,c2,c3) & \\
% Cramer22(a1,a2,b1,b2) & \\
-\Igfct{math}{length (a,b) } & point.abs(a-b) See (\ref{ssub:report_de_distance}) \\
+\Igfct{math}{length (a,b) } & point.abs(a-b) Refer to (\ref{ssub:report_de_distance}) \\
\Igfct{math}{islinear (z1,z2,z3) } & Are the points aligned? (z2-z1) $\parallel$ (z3-z1) ? \\
\Igfct{math}{isortho (z1,z2,z3)} & (z2-z1) $\perp$ (z3-z1) ? boolean\\
-\Igfct{math}{get\_angle (z1,z2,z3)} & the vertex is z1 See (\ref{sub:get_angle}) \\
+\Igfct{math}{get\_angle (z1,z2,z3)} & the vertex is z1 Refer to (\ref{sub:get_angle}) \\
\Igfct{math}{bisector (z1,z2,z3)} & L.Aa = bisector (z.A,z.B,z.C) from A (\ref{sub:get_angle})\\
\Igfct{math}{bisector\_ext (z1,z2,z3)} & L.Aa = bisector_ext (z.A,z.B,z.C) from A \\
\Igfct{math}{altitude (z1,z2,z3)} & altitude from z1 \\
@@ -31,6 +31,7 @@
\Igfct{math}{real (v) } & apply | value /scale | \\
\Igfct{math}{angle\_normalize (an) } & to get a value between 0 and $2\pi$ \\
\Igfct{misc}{barycenter (\{z1,n1\},\{z2,n2\}, ...)} & barycenter of list of points \\
+\Igfct{math}{solve\_quadratic (a,b,c) } & gives the solution of $ax^2+bx+c =0$ a,b,c real or complex (Refer to \ref{ssub:function_solve__quadratic})\\
\bottomrule
\end{tabular}
\egroup
@@ -44,7 +45,7 @@
\subsection{Harmonic division with tkzphi } % (fold)
\label{sub:harmonic_division_with_tkzphi}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale =.5
z.a = point: new(0,0)
@@ -58,7 +59,7 @@
\tkzDrawPoints(a,b,n,m)
\tkzLabelPoints(a,b,n,m)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
@@ -81,7 +82,7 @@
\subsection{Function islinear} % (fold)
\label{sub:function_islinear}
\begin{minipage}{0.5\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.a = point: new (1, 1)
z.b = point: new (2, 2)
@@ -97,7 +98,7 @@
\tkzDrawPoints(a,...,d)
\tkzLabelPoints(a,...,d)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{tkzelements}
@@ -130,7 +131,7 @@ If |scale = 1.2| with a = value(5) the actual value of |a| will be $5\times 1.2
% subsubsection function_value (end)
-\subsubsection{Function real }% (fold)
+\subsection{Function real }% (fold)
\label{ssub:function_real}
If |scale = 1.2| with a = 6 then real(a) = $6 / 1.2 = 5$ .
@@ -145,7 +146,7 @@ It's possible to transfer variable from Lua to \TEX{} with
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new (0 , 0)
z.B = point : new (3 , 2)
@@ -163,7 +164,7 @@ It's possible to transfer variable from Lua to \TEX{} with
\tkzLabelSegment[above right,draw](C,H){$CH = \tkzUseLua{d}$}
\tkzLabelSegment[below right,draw](A,B){$AB = \tkzUseLua{l}$}
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -189,7 +190,7 @@ It's possible to transfer variable from Lua to \TEX{} with
\subsection{Normalized angles : Slope of lines (ab), (ac) and (ad)} % (fold)
\label{sub:normalized_angles}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.a = point: new(0, 0)
z.b = point: new(-3, -3)
@@ -211,7 +212,7 @@ It's possible to transfer variable from Lua to \TEX{} with
\tkzDrawPoints(a,b,c,d)
\tkzLabelPoints(a,b,c,d)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
scale = .75
z.a = point: new(0, 0)
@@ -246,7 +247,7 @@ tex.print('slope normalized of (ad) : '..tostring(angle_normalize(angle))..'\\\\
The function |get_angle (a,b,c)| gives the angle normalized of $(\overrightarrow{ab},\overrightarrow{ac})$.
\begin{minipage}{0.6\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.a = point: new(0, 0)
z.b = point: new(-2, -2)
@@ -265,7 +266,7 @@ The function |get_angle (a,b,c)| gives the angle normalized of $(\overrightarro
\tkzMarkAngle[->](b,a,c)
\tkzLabelAngle(b,a,c){\tkzUseLua{angbc}}
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.4\textwidth}
\begin{tkzelements}
@@ -296,7 +297,7 @@ The function |get_angle (a,b,c)| gives the angle normalized of $(\overrightarro
\label{sub:dot_or_scalar_product}
\begin{minipage}{0.5\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new(0,0)
z.B = point: new(5,0)
@@ -315,7 +316,7 @@ The function |get_angle (a,b,c)| gives the angle normalized of $(\overrightarro
\tkzDrawPolygon[blue](A_1,B_1,C_1)
\tkzText[right](0,-1){dot product =\tkzUseLua{x}}
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{tkzelements}
@@ -357,7 +358,7 @@ With the functions |islinear| and |isortho|. |islinear(z.a,z.b,z.c)| gives |true
These functions are useful if you don't need to create a useful triangle object for the rest of your code.
\begin{minipage}{.5\textwidth}
- \begin{verbatim}
+ \begin{Verbatim}
\begin{tkzelements}
z.a = point: new (0, 0)
z.b = point: new (5, -2)
@@ -381,7 +382,7 @@ These functions are useful if you don't need to create a useful triangle object
\tkzMarkAngle[<-](b,a,i)
\tkzLabelAngle[font=\tiny,pos=.75](b,a,i){\tkzUseLua{angic}}
\end{tikzpicture}
- \end{verbatim}
+ \end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -416,6 +417,51 @@ These functions are useful if you don't need to create a useful triangle object
Not documented because still in beta version: |parabola|, |Cramer22|, |Cramer33|.
% subsection other_functions (end)
+
+\subsubsection{Function solve\_quadratic} % (fold)
+\label{ssub:function_solve__quadratic}
+
+This function solves the equation $ax^2+bx+c= 0$ with real or complex numbers.
+
+\begin{minipage}{.6\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ tex.sprint('Solve : $x^2+1=0$ The solution set is ')
+ r1,r2 = solve_quadratic(1,0,1)
+ tex.print('\\{'..tostring(r1)..' , '..tostring(r2)..'\\}')
+ tex.print('\\\\')
+ tex.sprint('Solve : $x^2+2x-3=0$ The solution set is ')
+ r1,r2 = solve_quadratic(1,2,-3)
+ tex.print('\\{'..tostring(r1)..' , '..tostring(r2)..'\\}')
+ tex.print('\\\\')
+ a = point (0,1)
+ b = point (1,1)
+ c = point (-1,1)
+ tex.sprint('Solve : $ix^2+(1+i)x+(-1+i)=0$ The solution set is ')
+ r1,r2 = solve_quadratic(a,b,c)
+ tex.print('\\{'..tostring(r1)..' , '..tostring(r2)..'\\}')
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+
+\begin{tkzelements}
+ tex.sprint('Solve : $x^2+1=0$ The solution set is ')
+ r1,r2 = solve_quadratic(1,0,1)
+ tex.print('\\{'..tostring(r1)..' , '..tostring(r2)..'\\}')
+ tex.print('\\\\')
+ tex.sprint('Solve : $x^2+2x-3=0$ The solution set is ')
+ r1,r2 = solve_quadratic(1,2,-3)
+ tex.print('\\{'..tostring(r1)..' , '..tostring(r2)..'\\}')
+ tex.print('\\\\')
+ a = point (0,1)
+ b = point (1,1)
+ c = point (-1,1)
+ tex.sprint('Solve : $ix^2+(1+i)x+(-1+i)=0$ The solution set is ')
+ r1,r2 = solve_quadratic(a,b,c)
+ tex.print('\\{'..tostring(r1)..' , '..tostring(r2)..'\\}')
+\end{tkzelements}
+
+% subsubsection function_solve__quadratic (end)
% section math_functions (end)
\endinput
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-parallelogram.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-parallelogram.tex
index e818cdece0..6088f6cfb3 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-parallelogram.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-parallelogram.tex
@@ -1,5 +1,5 @@
\newpage
-\section{Classe \Iclass{parallelogram}} % (fold)
+\section{Class \Iclass{parallelogram}} % (fold)
\subsection{Parallelogram attributes} % (fold)
\label{sub:parallelogram_attributes}
@@ -38,7 +38,7 @@ Creation | P.new = parallelogram : new (z.A,z.B,z.C,z.D)|
% subsubsection example_attributes (end)
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 4 , 1 )
@@ -58,7 +58,7 @@ z.I = P.new.center
\tkzLabelPoints[above](C,D)
\tkzDrawPoints[red](I)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -98,7 +98,7 @@ z.I = P.new.center
\toprule
\textbf{Methods} & \textbf{Comments} \\
\midrule \\
-\Imeth{parallelogram}{fourth (za,zb,zc)} & completes a triangle by parallelogram (see next example)\\
+\Imeth{parallelogram}{fourth (za,zb,zc)} & completes a triangle by parallelogram (Refer to next example)\\
\bottomrule %
\end{tabular}
\egroup
@@ -108,7 +108,7 @@ z.I = P.new.center
% subsubsection parallelogram_with_fourth_method (end)
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .75
z.A = point : new ( 0 , 0 )
@@ -120,13 +120,13 @@ z.I = P.four.center
\end{tkzelements}
\begin{tikzpicture}
\tkzGetNodes
-\tkzDrawPolygon(A,D,B,C)
+\tkzDrawPolygon(A,B,C,D)
\tkzDrawPoints(A,B,C,D)
\tkzLabelPoints(A,B)
\tkzLabelPoints[above](C,D)
\tkzDrawPoints[red](I)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-point.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-point.tex
index 4efd21328f..68c5a73e5a 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-point.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-point.tex
@@ -3,7 +3,7 @@
\section{Class \Iclass{point}} % (fold)
\label{sec:class_point}
-The class on which the whole edifice rests, it's the class \Iclass{point}. This class is hybrid in the sense that it is as much about points of a plane as complex numbers. The principle is the following: the plane is provided with an orthonormal basis which allows us to determine the placement of a point using its abscissa and ordinate coordinates; in the same way any complex number can simply be considered as a pair of real numbers (its real part and its imaginary part). We can then designate the plane as the complex plane, and the complex number $x+iy$ is represented by the point of the plane with coordinates $(x,y)$. Thus the point $A$ will have coordinates stored in the object $z.A$. Coordinates are attributes of the "point" object, like type, argument and modulus.
+The foundation of the entire framework is the \Iclass{point} class. This class is hybrid in the sense that it deals with both points in a plane and complex numbers. The principle is as follows: the plane is equipped with an orthonormal basis, which allows us to determine the position of a point using its abscissa and ordinate coordinate. Similarly, any complex number can be viewed simply as a pair of real numbers (its real part and its imaginary part). We can then designate the plane as the complex plane, and the complex number $x+iy$ is represented by the point of the plane with coordinates $(x,y)$. Thus the point $A$ will have coordinates stored in the object $z.A$. Coordinates are attributes of the "point" object, along with type, argument, and modulus.
@@ -88,27 +88,31 @@ The creation of a point is done using the following method, but there are other
\begin{mybox}
Creation |z.A = point: new (1,2) |
\end{mybox}
- The point $A$ has coordinates $x=1$ and $y=2$. If you use the notation |z.A| then $A$ will be the reference of a node in \TIKZ\ or in \pkg{tkz-euclide}.
+ The point $A$ has coordinates $x=1$ and $y=2$. If you use the notation |z.A|, then $A$ will be referenced as a node in \TIKZ\ or in \pkg{tkz-euclide}.
+
+This is the creation of a fixed point with coordinates 1 and 2 and which is named $A$. The notation |z.A| indicates that the coordinates will be stored in a table denoted as |z| (reference to the notation of the affixes of the complex numbers) that $A$ is the name of the point and the key allowing access to the values.
+
+
+\begin{center}
+ \bgroup
+ \small
+ \catcode`_=12
+ \captionof{table}{Point attributes.}\label{point:att}
+ \begin{tabular}{lll}
+ \toprule
+ \textbf{Attributes} & \textbf{Application}& \textbf{Example}\\
+ \Iattr{point}{re} & |z.A.re = 1| & Refer to (\ref{ssub:methods}) \\
+ \Iattr{point}{im} & |z.A.im = 2| & Refer to (\ref{ssub:methods}) \\
+ \Iattr{point}{type} & |z.A.type = 'point'| & \\
+ \Iattr{point}{argument} & |z.A.argument $\approx$ 0.78539816339745| & Refer to (\ref{ssub:example_point_attributes})\\
+ \Iattr{point}{modulus} & |z.A.modulus| $\approx$ |2.2360...| =$\sqrt{5}$ & Refer to (\ref{ssub:example_point_attributes})\\
+ \bottomrule
+ \end{tabular}
+ \egroup
+\end{center}
-This is the creation of a fixed point with coordinates 1 and 2 and which is named $A$. The notation |z.A| indicates that the coordinates will be stored in a table noted |z| (reference to the notation of the affixes of the complex numbers) that A is the name of the point and the key allowing access to the values.
-\vspace{1em}
-\bgroup
-\small
-\catcode`_=12
-\captionof{table}{Point attributes.}\label{point:att}
-\begin{tabular}{lll}
-\toprule
-\textbf{Attributes} & \textbf{Application}& \textbf{Example}\\
-\Iattr{point}{re} & |z.A.re = 1| & see (\ref{ssub:methods}) \\
-\Iattr{point}{im} & |z.A.im = 2| &see (\ref{ssub:methods}) \\
-\Iattr{point}{type} & |z.A.type = 'point'| & \\
-\Iattr{point}{argument} & |z.A.argument $\approx$ 0.78539816339745| & see (\ref{ssub:example_point_attributes})\\
-\Iattr{point}{modulus} & |z.A.modulus| $\approx$ |2.2360...| =$\sqrt{5}$ & see (\ref{ssub:example_point_attributes})\\
-\bottomrule
-\end{tabular}
-\egroup
\newpage
\subsubsection{Example:point attributes} % (fold)
@@ -120,16 +124,16 @@ This is the creation of a fixed point with coordinates 1 and 2 and which is name
\hspace*{\fill}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.M = point: new (1,2)
\end{tkzelements}
-\end{verbatim}
+\end{Verbatim}
\pgfkeys{/pgf/number format/.cd,std,precision=2}
\let\pmpn\pgfmathprintnumber
\DeleteShortVerb{\|}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tikzpicture}[scale = 1]
\pgfkeys{/pgf/number format/.cd,std,precision=2}
\let\pmpn\pgfmathprintnumber
@@ -148,7 +152,7 @@ $|z_M| =\sqrt{5}\approx \pmpn{\tkzUseLua{z.M.modulus}}$ cm}
\tkzLabelPoint[left,teal](B){$\tkzUseLua{z.M.im}$}
\tkzDrawSegments[->,add = 0 and 0.25](O,B O,A)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\begin{center}
@@ -186,7 +190,7 @@ Attributes of \texttt{z.M}
\MakeShortVerb{\|}
\hspace*{\fill}
- % \caption{Class Point}
+% \caption{Class Point}
% subsubsection example_point_attributes (end)
% subsection attributes_of_a_point (end)
@@ -194,25 +198,25 @@ Attributes of \texttt{z.M}
\label{ssub:argand_diagram}
\normalsize
\begin{minipage}{\textwidth}
- \begin{verbatim}
- \begin{tkzelements}
- z.A = point : new ( 2 , 3 )
- z.O = point : new ( 0 , 0 )
- z.I = point : new ( 1 , 0 )
- \end{tkzelements}
- \hspace{\fill}\begin{tikzpicture}
- \tkzGetNodes
- \tkzInit[xmin=-4,ymin=-4,xmax=4,ymax=4]
- \tkzDrawCircle[dashed,red](O,A)
- \tkzPointShowCoord(A)
- \tkzDrawPoint(A)
- \tkzLabelPoint[above right](A){\normalsize $a+ib$}
- \tkzDrawX\tkzDrawY
- \tkzDrawSegment(O,A)
- \tkzLabelSegment[above,anchor=south,sloped](O,A){ OA = modulus of $z_A$}
- \tkzLabelAngle[anchor=west,pos=.5](I,O,A){$\theta$ = argument of $z_A$}
- \end{tikzpicture}
- \end{verbatim}
+\begin{Verbatim}
+\begin{tkzelements}
+ z.A = point : new ( 2 , 3 )
+ z.O = point : new ( 0 , 0 )
+ z.I = point : new ( 1 , 0 )
+\end{tkzelements}
+\hspace{\fill}\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzInit[xmin=-4,ymin=-4,xmax=4,ymax=4]
+ \tkzDrawCircle[dashed,red](O,A)
+ \tkzPointShowCoord(A)
+ \tkzDrawPoint(A)
+ \tkzLabelPoint[above right](A){\normalsize $a+ib$}
+ \tkzDrawX\tkzDrawY
+ \tkzDrawSegment(O,A)
+ \tkzLabelSegment[above,anchor=south,sloped](O,A){ OA = modulus of $z_A$}
+ \tkzLabelAngle[anchor=west,pos=.5](I,O,A){$\theta$ = argument of $z_A$}
+\end{tikzpicture}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{\textwidth}
@@ -242,49 +246,55 @@ Attributes of \texttt{z.M}
\subsection{Methods of the class point} % (fold)
\label{sub:methods_of_the_class_point}
-The methods described in the following table are standard. You'll find them in most of the examples at the end of this documentation. The result of the different methods presented in the following table is a \tkzNameObj{point}. See section (\ref{sub:complex_numbers}) for the metamethods.
+The methods described in the following table are standard and can be found in most of the examples at the end of this documentation. The result of the different methods presented in the following table is a \tkzNameObj{point}. Refer to section (\ref{sub:complex_numbers}) for the metamethods.
\vspace{1em}
\bgroup
\catcode`_=12
\small
-\captionof{table}{Methods of the class point.}\label{point:met}
+\captionof{table}{Functions \& Methods of the class point.}\label{point:met}
\begin{tabular}{lll}
\toprule
-\textbf{Methods} & \textbf{Application}& \\
+\textbf{Functions} & \textbf{Application}& \\
\midrule
-\Imeth{point}{new(r, r)} & |z.A = point : new(1,2)| & see (\ref{ssub:method_normalize}) \\
-\Imeth{point}{polar (d, an)} & |z.A = point : polar(1,math.pi/3)| & see (\ref{sub:archimedes} )\\
-\Imeth{point}{polar\_deg an} & an in deg & polar coordinates an deg \\
+\Igfct{point}{new(r,r)} & |z.A = point : new(1,2)| & Refer to (\ref{ssub:method_normalize}) \\
+\Igfct{point}{polar (d,an)} & |z.A = point : polar(1,math.pi/3)| & Refer to (\ref{sub:archimedes} )\\
+\Igfct{point}{polar\_deg (d,an)} & an in deg & polar coordinates an deg \\
+\midrule
+\textbf{Methods} & \textbf{Application}& \\
\midrule
\textbf{Points} &&\\
\midrule
-\Imeth{point}{north(r)} & |r| distance to the point (1 if empty) & see (\ref{sub:power_v2}) ; \ref{ssub:methods}) \\
+\Imeth{point}{north(r)} & |r| distance to the point (1 if empty) & Refer to (\ref{sub:power_v2}) ; \ref{ssub:methods}) \\
\Imeth{point}{south(r)} & & \\
\Imeth{point}{east(r)} & & \\
\Imeth{point}{west(r)} & & \\
-\Imeth{point}{normalize()} & |z.b = z.a: normalize ()| & see (\ref{ssub:method_normalize}) \\
+\Imeth{point}{normalize()} & |z.b = z.a: normalize ()| & Refer to (\ref{ssub:method_normalize}) \\
\Imeth{point}{get\_points (obj)} & retrieves points from the object & \\
\Imeth{point}{orthogonal (d)} & |z.B=z.A:orthogonal(d)| & $\overrightarrow{OB}\perp \overrightarrow{OA}$ and $OB=d$\\
\Imeth{point}{at ()} & |z.X = z.B : at (z.A)| & $\overrightarrow{OB}= \overrightarrow{AX}$ and $OB=d$\\
\midrule
\textbf{Transformations} &&\\
\midrule
- \Imeth{point}{symmetry(obj)} & obj : point, line, etc. & see (\ref{ssub:object_symmetry}) \\
- \Imeth{point}{rotation(an , obj)} & point, line, etc. & see (\ref{ssub:object_rotation})\\
- \Imeth{point}{homothety(r,obj)} & |z.c = z.a : homothety (2,z.b)| & see (\ref{sub:homothety}) \\
+ \Imeth{point}{symmetry(obj)} & obj : point, line, etc. & Refer to (\ref{ssub:object_symmetry}) \\
+ \Imeth{point}{rotation(an , obj)} & point, line, etc. & Refer to (\ref{ssub:object_rotation})\\
+ \Imeth{point}{homothety(r,obj)} & |z.c = z.a : homothety (2,z.b)| & Refer to (\ref{sub:homothety}) \\
+ \midrule
+ \textbf{Misc.} &&\\
+ \midrule
+ \Imeth{point}{print()} & displays the affix of the point & Refer to (\ref{ssub:object_symmetry}) \\
\bottomrule %
\end{tabular}
\egroup
-\subsubsection{Example: method \Imeth{point}{north (d)} } % (fold)
+\subsubsection{Example: method \Imeth{point}{north (d)} } % (fold)
\label{ssub:example_method_imeth_point_north_d}
-This function defines a point located on a vertical line passing through the given point. This function is useful if you want to report a certain distance (see the following example).
+This function defines a point located on a vertical line passing through the given point. This function is useful if you want to report a certain distance (Refer to the following example).
If |d| is absent then it is considered equal to 1.
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.O = point : new ( 0, 0 )
z.A = z.O : east ()
@@ -298,7 +308,7 @@ If |d| is absent then it is considered equal to 1.
\tkzDrawPolygon(A,B,C,D)
\tkzDrawPoints(A,B,C,D,O,A')
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -324,10 +334,10 @@ If |d| is absent then it is considered equal to 1.
\subsubsection{Length transfer} % (fold)
\label{ssub:report_de_distance}
-Use of |north and east| functions linked to points, to transfer lengths, see (\ref{sub:length_of_a_segment})
+Use of |north and east| functions linked to points, to transfer lengths, Refer to (\ref{sub:length_of_a_segment})
\begin{minipage}{.4\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 3 , 0 )
@@ -347,7 +357,7 @@ Use of |north and east| functions linked to points, to transfer lengths, see (\r
\tkzLabelPoints(A,B,E,M)
\tkzLabelPoints[above right](C,D,F)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -380,7 +390,7 @@ Use of |north and east| functions linked to points, to transfer lengths, see (\r
This involves defining a point using its modulus and argument.
\begin{minipage}{0.6\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.O = point: new (0, 0)
z.A = point: new (3, 0)
@@ -394,7 +404,7 @@ This involves defining a point using its modulus and argument.
\tkzDrawPoints(A,O,F)
\tkzLabelPoints[below right=6pt](A,O,F)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.4\textwidth}
\begin{tkzelements}
@@ -422,7 +432,7 @@ This involves defining a point using its modulus and argument.
The result is a point located between the origin and the initial point at a distance of $1$ from the origin.
\begin{minipage}{.4\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = 1.5
z.O = point : new (0,0)
@@ -438,7 +448,7 @@ The result is a point located between the origin and the initial point at a dist
\tkzLabelPoints(O,A,B)
\tkzLabelPoint[below right](I){$1$}
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -467,7 +477,7 @@ z.I = point : new (1,0)
Let $O$ be the origin of the plane. The "orthogonal (d)" method is used to obtain a point $B$ from a point $A$ such that $\overrightarrow{OB}\perp \overrightarrow{OA}$ with $OB=OA$ if $d$ is empty, otherwise $OB = d$.
\begin{minipage}{.6\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 3 , 1 )
z.B = z.A : orthogonal (1)
@@ -480,7 +490,7 @@ Let $O$ be the origin of the plane. The "orthogonal (d)" method is used to obtai
\tkzDrawPoints(O,A,B,C)
\tkzLabelPoints[below right](O,A,B,C)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.4\textwidth}
\begin{tkzelements}
@@ -501,10 +511,10 @@ Let $O$ be the origin of the plane. The "orthogonal (d)" method is used to obtai
\subsubsection{\Imeth{point}{at} method} % (fold)
\label{ssub:_imeth_point_at_method}
-Cette méthode est complémentaire de la précédente, ainsi on peut souhaiter non pas avoir $\overrightarrow{OB}\perp \overrightarrow{OA}$ mais $\overrightarrow{AB}\perp \overrightarrow{OA}$.
+This method is complementary to the previous one, so you may not wish to have $\overrightarrow{OB}\perp \overrightarrow{OA}$ but $\overrightarrow{AB}\perp \overrightarrow{OA}$.
\begin{minipage}{.6\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 3 , 1 )
z.B = z.A : orthogonal (1)
@@ -520,7 +530,7 @@ Cette méthode est complémentaire de la précédente, ainsi on peut souhaiter n
\tkzDrawSegments(O,A A,B A,C C,D)
\tkzDrawPoints(O,A,B,C,D)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.4\textwidth}
\begin{tkzelements}
@@ -548,7 +558,7 @@ z.D =(z.C-z.A):orthogonal(2) : at (z.C)
The arguments are the angle of rotation in radians, and here a list of points.
\begin{minipage}{.6\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.a = point: new(0, -1)
z.b = point: new(4, 0)
@@ -564,7 +574,7 @@ The arguments are the angle of rotation in radians, and here a list of points.
\tkzDrawArc(o,a)(a')
\tkzDrawArc(o,b)(b')
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.4\textwidth}
\begin{tkzelements}
@@ -584,6 +594,7 @@ The arguments are the angle of rotation in radians, and here a list of points.
\tkzDrawArc(o,a)(a')
\tkzDrawArc(o,b)(b')
\end{tikzpicture}
+\hspace*{\fill}
\end{minipage}
% subsubsection example_rotation_of_points (end)
@@ -592,7 +603,7 @@ The arguments are the angle of rotation in radians, and here a list of points.
Rotate a triangle by an angle of $\pi/6$ around $O$.
\begin{minipage}{.5\textwidth}
- \begin{verbatim}
+ \begin{Verbatim}
\begin{tkzelements}
z.O = point : new ( -1 , -1 )
z.A = point : new ( 2 , 0 )
@@ -615,7 +626,7 @@ Rotate a triangle by an angle of $\pi/6$ around $O$.
\tkzLabelPoints (A,B,C,A',B',C',O)
\tkzDrawArc[delta=0,->](O,A)(A')
\end{tikzpicture}
- \end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -650,25 +661,25 @@ z.Ap,z.Bp,z.Cp = get_points ( T.ApBpCp)
\subsubsection{Object \Imeth{point}{symmetry}} % (fold)
\label{ssub:object_symmetry}
\begin{minipage}{.5\textwidth}
- \begin{verbatim}
- \begin{tkzelements}
- z.a = point: new(0,-1)
- z.b = point: new(2, 0)
- L.ab = line : new (z.a,z.b)
- C.ab = circle : new (z.a,z.b)
- z.o = point: new(1,1)
- z.ap,z.bp = get_points (z.o: symmetry (C.ab))
- \end{tkzelements}
+\begin{Verbatim}
+\begin{tkzelements}
+ z.a = point: new(0,-1)
+ z.b = point: new(2, 0)
+ L.ab = line : new (z.a,z.b)
+ C.ab = circle : new (z.a,z.b)
+ z.o = point: new(1,1)
+ z.ap,z.bp = get_points (z.o: symmetry (C.ab))
+\end{tkzelements}
- \begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawCircles(a,b a',b')
- \tkzDrawLines(a,a' b,b')
- \tkzDrawLines[red](a,b a',b')
- \tkzDrawPoints(a,a',b,b',o)
- \tkzLabelPoints(a,a',b,b',o)
- \end{tikzpicture}
- \end{verbatim}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawCircles(a,b a',b')
+\tkzDrawLines(a,a' b,b')
+\tkzDrawLines[red](a,b a',b')
+\tkzDrawPoints(a,a',b,b',o)
+\tkzLabelPoints(a,a',b,b',o)
+\end{tikzpicture}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-quadrilateral.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-quadrilateral.tex
index 8b777de57b..30ee773eba 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-quadrilateral.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-quadrilateral.tex
@@ -1,5 +1,5 @@
\newpage
-\section{Classe \Iclass{Quadrilateral}} % (fold)
+\section{Class \Iclass{Quadrilateral}} % (fold)
\subsection{Quadrilateral Attributes} % (fold)
\label{sub:quadrilateral_attributes}
@@ -41,7 +41,7 @@ Creation | Q.new = rectangle : new (z.A,z.B,z.C,z.D)|
\subsubsection{Quadrilateral attributes} % (fold)
\label{ssub:quadrilateral_attributes}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 4 , 0 )
@@ -58,7 +58,7 @@ z.G = Q.ABCD.g
\tkzDrawSegments(A,C B,D)
\tkzDrawPoints(A,B,C,D,I,G)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -93,7 +93,7 @@ z.G = Q.ABCD.g
\toprule
\textbf{Methods} & \textbf{Comments} \\
\midrule \\
-\Imeth{quadrilateral}{iscyclic ()} & inscribed ? (see next example)\\
+\Imeth{quadrilateral}{iscyclic ()} & inscribed ? (Refer to next example)\\
\bottomrule %
\end{tabular}
\egroup
@@ -101,7 +101,7 @@ z.G = Q.ABCD.g
\subsubsection{Inscribed quadrilateral} % (fold)
\label{ssub:inscribed_quadrilateral}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 4 , 0 )
@@ -126,7 +126,7 @@ end
\ifthenelse{\equal{\tkzUseLua{bool}}{true}}{
\tkzDrawCircle(O,A)}{}
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-rectangle.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-rectangle.tex
index e232980e64..cd0ae2981c 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-rectangle.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-rectangle.tex
@@ -1,5 +1,5 @@
\newpage
-\section{Classe \Iclass{rectangle}} % (fold)
+\section{Class \Iclass{rectangle}} % (fold)
\subsection{Rectangle attributes} % (fold)
\label{sub:rectangle_attributes}
@@ -40,7 +40,7 @@ Creation | R.ABCD = rectangle : new (z.A,z.B,z.C,z.D)|
\subsubsection{Example} % (fold)
\label{ssub:example}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 4 , 0 )
@@ -58,7 +58,7 @@ z.I = R.new.center
\tkzLabelPoints[above](C,D)
\tkzDrawPoints[red](I)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\hspace{\fill}\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -117,7 +117,7 @@ z.I = R.new.center
\label{ssub:angle_method}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .5
z.A = point : new ( 0 , 0 )
@@ -136,7 +136,7 @@ z.D = P.ABCD.pd
\tkzLabelPoints(A,B,C,D)
\tkzDrawPoints[new](I)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -164,7 +164,7 @@ z.D = P.ABCD.pd
\subsubsection{Side method} % (fold)
\label{ssub:side_method}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 4 , 3 )
@@ -181,7 +181,7 @@ z.I = R.side.center
\tkzLabelPoints[above](C,D)
\tkzDrawPoints[red](I)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -207,7 +207,7 @@ z.I = R.side.center
\subsubsection{Diagonal method} % (fold)
\label{ssub:diagonal_method}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.C = point : new ( 4 , 3 )
@@ -226,7 +226,7 @@ z.I = R.diag.center
\tkzDrawPoints[red](I)
\tkzLabelSegment[sloped,above](A,B){|rectangle : diagonal (z.A,z.C)|}
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -253,7 +253,7 @@ z.I = R.diag.center
\subsubsection{Gold method} % (fold)
\label{ssub:gold_method}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.X = point : new ( 0 , 0 )
z.Y = point : new ( 4 , 2 )
@@ -272,7 +272,7 @@ z.I = R.gold.center
\tkzDrawPoints[red](I)
\tkzLabelSegment[sloped,above](X,Y){rectangle : gold (z.X,z.Y)}
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-regular.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-regular.tex
index 6460af030d..2413a97d91 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-regular.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-regular.tex
@@ -1,5 +1,5 @@
\newpage
-\section{Classe \Iclass{Regular Polygon}} % (fold)
+\section{Class \Iclass{regular polygon}} % (fold)
\subsection{regular\_polygon attributes} % (fold)
\label{sub:regular_polygon_attributes}
@@ -32,7 +32,7 @@ Creation | RP.IA = regular_polygon : new (z.I,z.A,6)|
\subsubsection{Pentagon} % (fold)
\label{ssub:pentagon}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.O = point: new (0,0)
z.I = point: new (1,3)
@@ -50,7 +50,7 @@ z.H = RP.five.proj
\tkzDrawPoints[red](P_1,P_...,P_\nb,H,I)
\tkzLabelPoints[red](I,A,H)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -94,7 +94,7 @@ z.H = RP.five.proj
\midrule
\textbf{Points} &\\
\midrule
-\Imeth{regular\_polygon}{name (string)} & see\ref{ssub:pentagon} \\
+\Imeth{regular\_polygon}{name (string)} & Refer to\ref{ssub:pentagon} \\
\bottomrule %
\end{tabular}
\egroup
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-square.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-square.tex
index fae6d71b2b..17e26d105f 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-square.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-square.tex
@@ -1,11 +1,11 @@
\newpage
-\section{Classe \Iclass{square}} % (fold)
+\section{Class \Iclass{square}} % (fold)
\subsection{Square attributes} % (fold)
\label{sub:square_attributes}
% subsection square_attributes (end)
-Points are created in the direct direction. A test is performed to check whether the points form a square, otherwise compilation is blocked.
+Points are created in the direct direction. A test is performed to check whether the points form a square. Otherwise, compilation is blocked."
\begin{mybox}
Creation | S.AB = square : new (z.A,z.B,z.C,z.D)|
\end{mybox}
@@ -40,7 +40,7 @@ Creation | S.AB = square : new (z.A,z.B,z.C,z.D)|
\label{ssub:example_square_attributes}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 4 , 0 )
@@ -62,7 +62,7 @@ z.H = S.new.proj
\tkzLabelSegment[sloped](I,H){\pmpn{\tkzUseLua{S.new.inradius}}}
\tkzLabelSegment[sloped](D,C){\pmpn{\tkzUseLua{S.new.side}}}
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -114,7 +114,7 @@ z.H = S.new.proj
\label{ssub:square_with_side_method}
%
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = 2
z.A = point : new ( 0 , 0 )
@@ -134,7 +134,7 @@ z.H = S.new.proj
\tkzLabelPoints[above](C,D)
\tkzDrawPoints[red](I)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-triangle.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-triangle.tex
index 9261d6fbe7..f54a53f39e 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-triangle.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-triangle.tex
@@ -1,6 +1,6 @@
\newpage
-\section{Classe \Iclass{triangle}} % (fold)
-\label{sec:classe_triangle}
+\section{Class \Iclass{triangle}} % (fold)
+\label{sec:class_triangle}
\subsection{Attributes of a triangle} % (fold)
\label{sub:attributes_of_a_triangle}
@@ -8,7 +8,7 @@ The triangle object is created using the \Imeth{triangle}{new} method, for examp
\begin{mybox}
Creation | T.ABC = triangle : new ( z.A , z.B , z.C ) |
\end{mybox}
-(See examples: \ref{sub:alternate}; \ref{sub:apollonius_circle}; \ref{sub:excircles} ). Multiple attributes are then created.
+(Refer to examples: \ref{sub:alternate}; \ref{sub:apollonius_circle}; \ref{sub:excircles} ). Multiple attributes are then created.
\bgroup
\catcode`_=12
@@ -44,7 +44,7 @@ The triangle object is created using the \Imeth{triangle}{new} method, for examp
\label{sub:triangle_attributes_angles}
\begin{minipage}{.6\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new(0,0)
z.B = point: new(5,0)
@@ -60,7 +60,7 @@ The triangle object is created using the \Imeth{triangle}{new} method, for examp
\tkzLabelAngle(C,B,A){$\wangle{beta}^\circ$}
\tkzLabelAngle(A,C,B){$\wangle{gamma}^\circ$}
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.4\textwidth}
\begin{tkzelements}
@@ -83,64 +83,64 @@ The triangle object is created using the \Imeth{triangle}{new} method, for examp
\subsubsection{Example: triangle attributes} % (fold)
\label{ssub:example_triangle_attributes}
\begin{minipage}{.5\textwidth}
- \begin{verbatim}
- \begin{tkzelements}
- z.a = point: new (0 , 0)
- z.b = point: new (4 , 0)
- z.c = point: new (0 , 3)
- T.abc = triangle : new (z.a,z.b,z.c)
- z.O = T.abc.circumcenter
- z.I = T.abc.incenter
- z.H = T.abc.orthocenter
- z.G = T.abc.centroid
- a = T.abc.a
- b = T.abc.b
- c = T.abc.c
- alpha = T.abc.alpha
- beta = T.abc.beta
- gamma = T.abc.gamma
- \end{tkzelements}
- \begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawPolygon(a,b,c)
- \tkzDrawPoints(a,b,c,O,G,I,H)
- \tkzLabelPoints(a,b,c,O,G,I)
- \tkzLabelPoints[above right](H)
- \tkzDrawCircles(O,a)
- \tkzLabelSegment[sloped](a,b){\tkzUseLua{c}}
- \tkzLabelSegment[sloped,above](b,c){\tkzUseLua{a}}
- \end{tikzpicture}
- \end{verbatim}
+\begin{Verbatim}
+\begin{tkzelements}
+ z.A = point: new (0 , 0)
+ z.B = point: new (4 , 0)
+ z.C = point: new (0 , 3)
+ T.ABC = triangle : new (z.A,z.B,z.C)
+ z.O = T.ABC.circumcenter
+ z.I = T.ABC.incenter
+ z.H = T.ABC.orthocenter
+ z.G = T.ABC.centroid
+ a = T.ABC.a
+ b = T.ABC.b
+ c = T.ABC.c
+ alpha = T.ABC.alpha
+ beta = T.ABC.beta
+ gamma = T.ABC.gamma
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygon(A,B,C)
+ \tkzDrawPoints(A,B,C,O,G,I,H)
+ \tkzLabelPoints[below](A,B,O,G,I)
+ \tkzLabelPoints[above right](H,C)
+ \tkzDrawCircles(O,A)
+ \tkzLabelSegment[sloped](A,B){\tkzUseLua{c}}
+ \tkzLabelSegment[sloped,above](B,C){\tkzUseLua{a}}
+\end{tikzpicture}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
- scale = 1.2
- z.a = point: new (0 , 0)
- z.b = point: new (4 , 0)
- z.c = point: new (0 , 3)
- T.abc = triangle : new (z.a,z.b,z.c)
- z.O = T.abc.circumcenter
- z.I = T.abc.incenter
- z.H = T.abc.orthocenter
- z.G = T.abc.centroid
- a = T.abc.a
- b = T.abc.b
- c = T.abc.c
- alpha = T.abc.alpha
- beta = T.abc.beta
- gamma = T.abc.gamma
-\end{tkzelements}
+ z.A = point: new (0 , 0)
+ z.B = point: new (4 , 0)
+ z.C = point: new (0 , 3)
+ T.ABC = triangle : new (z.A,z.B,z.C)
+ z.O = T.ABC.circumcenter
+ z.I = T.ABC.incenter
+ z.H = T.ABC.orthocenter
+ z.G = T.ABC.centroid
+ a = T.ABC.a
+ b = T.ABC.b
+ c = T.ABC.c
+ alpha = T.ABC.alpha
+ beta = T.ABC.beta
+ gamma = T.ABC.gamma
+\end{tkzelements}
\hspace*{\fill}
\begin{tikzpicture}
-\tkzGetNodes
-\tkzDrawPolygon(a,b,c)
-\tkzDrawPoints(a,b,c,O,G,I,H)
-\tkzLabelPoints(a,b,c,O,G,I)
-\tkzLabelPoints[above right](H)
-\tkzDrawCircles(O,a)
-\tkzLabelSegment[sloped](a,b){\tkzUseLua{c}}
-\tkzLabelSegment[sloped,above](b,c){\tkzUseLua{a}}
+ \tkzGetNodes
+ \tkzDrawPolygon(A,B,C)
+ \tkzDrawPoints(A,B,C,O,G,I,H)
+ \tkzLabelPoints[below](A,B,O,G,I)
+ \tkzLabelPoints[above right](H,C)
+ \tkzDrawCircles(O,A)
+ \tkzLabelSegment[sloped](A,B){\tkzUseLua{c}}
+ \tkzLabelSegment[sloped,above](B,C){\tkzUseLua{a}}
\end{tikzpicture}
+\hspace*{\fill}
\end{minipage}
% subsubsection example_triangle_attributes (end)
@@ -200,7 +200,7 @@ The triangle object is created using the \Imeth{triangle}{new} method, for examp
\Imeth{triangle}{first\_lemoine\_circle ()} & The center is the midpoint between Lemoine point and the circumcenter.\footnote{
Through the Lemoine point draw lines parallel to the triangle's sides. The points where the parallel lines intersect the sides of ABC
then lie on a circle known as the first Lemoine circle. } \\
-\Imeth{triangle}{second\_lemoine\_circle ()} & see example \ref{sub:antiparallel_through_lemoine_point}\\
+\Imeth{triangle}{second\_lemoine\_circle ()} & Refer to example \ref{sub:antiparallel_through_lemoine_point}\\
\Imeth{triangle}{spieker\_circle ()} & The incircle of the medial triangle\\
\bottomrule
@@ -210,7 +210,7 @@ Through the Lemoine point draw lines parallel to the triangle's sides. The point
Remark: If you don't need to use the triangle object several times, you can obtain a bisector or a altitude with the next functions
-|bisector (z.A,z.B,z.C)| and |altitude (z.A,z.B,z.C)| See (\ref{misc})
+|bisector (z.A,z.B,z.C)| and |altitude (z.A,z.B,z.C)| Refer to (\ref{misc})
\clearpage\newpage
\bgroup
@@ -238,7 +238,11 @@ Remark: If you don't need to use the triangle object several times, you can obta
\Imeth{triangle}{symmedian ()} & Triangle formed with the intersection points of the symmedians. \\
\Imeth{triangle}{euler ()} & Triangle formed with the euler points \\
\midrule
-\midrule
+ \textbf{Ellipses} &\\
+\Imeth{triangle}{steiner\_inellipse ()} & Refer to ex. (\ref{ssub:steiner_inellipse_and_circumellipse})\\
+\Imeth{triangle}{steiner\_circumellipse ()} & Refer to ex. (\ref{ssub:steiner_inellipse_and_circumellipse})\\
+\Imeth{triangle}{euler\_ellipse ()} & Refer to ex. (\ref{sub:euler_ellipse})\\
+ \midrule
\textbf{Miscellaneous} &\\
\midrule
\Imeth{triangle}{area ()} & $ \mathcal{A}$| = T.ABC: area ()|\\
@@ -256,7 +260,7 @@ Remark: If you don't need to use the triangle object several times, you can obta
\label{ssub:euler_line}
\begin{minipage}{.5\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0 , 0)
z.B = point: new (6 , 0)
@@ -281,7 +285,7 @@ Remark: If you don't need to use the triangle object several times, you can obta
\tkzLabelPoints(A,B,C,I,J,K,P,Q,R,H)
\tkzLabelPoints[below](N,O,G)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -310,36 +314,186 @@ Remark: If you don't need to use the triangle object several times, you can obta
\tkzLabelPoints[below](N,O,G,H)
\end{tikzpicture}
\end{minipage}
-
-%\caption{Euler line}
% subsubsection euler_line (end)
+\subsection{Euler ellipse} % (fold)
+\label{sub:euler_ellipse}
+Example of obtaining the Euler circle as well as the Euler ellipse.
+
+\begin{tkzelements}
+z.A = point: new (2,3.8)
+z.B = point: new (0 ,0)
+z.C = point: new (6.2 ,0)
+L.AB = line : new ( z.A , z.B )
+T.ABC = triangle: new (z.A,z.B,z.C)
+z.K = midpoint (z.B,z.C)
+E.euler = T.ABC : euler_ellipse ()
+z.N = T.ABC.eulercenter
+C.euler = circle : new (z.N,z.K)
+ang = math.deg(E.euler.slope)
+z.O = T.ABC.circumcenter
+z.G = T.ABC.centroid
+z.H = T.ABC.orthocenter
+\end{tkzelements}
+
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+z.A = point: new (2,3.8)
+z.B = point: new (0 ,0)
+z.C = point: new (6.2 ,0)
+L.AB = line : new ( z.A , z.B )
+T.ABC = triangle: new (z.A,z.B,z.C)
+z.K = midpoint (z.B,z.C)
+E.euler = T.ABC : euler_ellipse ()
+z.N = T.ABC.eulercenter
+C.euler = circle : new (z.N,z.K)
+ang = math.deg(E.euler.slope)
+z.O = T.ABC.circumcenter
+z.G = T.ABC.centroid
+z.H = T.ABC.orthocenter
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygon(A,B,C)
+\tkzDrawCircle(N,K)
+\tkzDrawEllipse[teal](N,\tkzUseLua{E.euler.Rx},
+ \tkzUseLua{E.euler.Ry},\tkzUseLua{ang})
+\tkzDrawLine(O,H)
+\tkzDrawPoints(A,B,C,N,O,H,G)
+\tkzLabelPoints[below left](B,C,N,O,H,G)
+\tkzLabelPoints[above](A)
+\end{tikzpicture}
+\end{minipage}
+
+\begin{Verbatim}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygon(A,B,C)
+\tkzDrawCircle(N,K)
+\tkzDrawEllipse[teal](N,\tkzUseLua{E.euler.Rx},
+ \tkzUseLua{E.euler.Ry},\tkzUseLua{ang})
+\tkzDrawLine(O,H)
+\tkzDrawPoints(A,B,C,N,O,H,G)
+\tkzLabelPoints[below left](B,C,N,O,H,G)
+\tkzLabelPoints[above](A)
+\end{tikzpicture}
+\end{Verbatim}
+% subsection euler_ellipse (end)
+
+\subsubsection{Steiner inellipse and circumellipse} % (fold)
+\label{ssub:steiner_inellipse_and_circumellipse}
+In this example, the inner and outer Steiner ellipses, referred to as the "inellipse" and "circumellipse" (Mathworld.com), respectively, along with the orthoptic circle, are depicted.. The triangle must be acutangle.
+
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ scale = .5
+ z.A = point: new (1 , 4)
+ z.B = point: new (11 , 1)
+ z.C = point: new (5 , 12)
+ T.ABC = triangle: new(z.A,z.B,z.C)
+ E = T.ABC: steiner_inellipse ()
+ z.G = E.center
+ ang = math.deg(E.slope)
+ z.F = E.Fa
+ z.E = E.Fb
+ C = E: orthoptic_circle ()
+ z.w = C.center
+ z.o = C.through
+ EE = T.ABC : steiner_circumellipse ()
+ z.M = C : point (0)
+ L.T1,L.T2= E : tangent_from (z.M)
+ z.T1 = L.T1.pb
+ z.T2 = L.T2.pb
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}\begin{tkzelements}
+ scale = .5
+z.A = point: new (1 , 4)
+z.B = point: new (11 , 1)
+z.C = point: new (5 , 12)
+T.ABC = triangle: new(z.A,z.B,z.C)
+E = T.ABC: steiner_inellipse ()
+z.G = E.center
+ang = math.deg(E.slope)
+z.F = E.Fa
+z.E = E.Fb
+C = E: orthoptic_circle ()
+z.w = C.center
+z.o = C.through
+EE = T.ABC : steiner_circumellipse ()
+z.M = C : point (0)
+L.T1,L.T2= E : tangent_from (z.M)
+z.T1 = L.T1.pb
+z.T2 = L.T2.pb
+\end{tkzelements}
+
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygon(A,B,C)
+\tkzDrawCircles(w,o)
+\tkzDrawEllipse[teal](G,\tkzUseLua{E.Rx},
+ \tkzUseLua{E.Ry},\tkzUseLua{ang})
+\tkzDrawEllipse[red](G,\tkzUseLua{EE.Rx},
+ \tkzUseLua{EE.Ry},\tkzUseLua{ang})
+\tkzDrawLines(F,E M,T1 M,T2) %
+\tkzDrawPoints(A,B,C,F,E,G,M,T1,T2)
+\tkzLabelPoints[above](C,M,T1)
+\tkzLabelPoints[right](T2,B)
+\tkzLabelPoints[below left](A,F,E,G)
+\end{tikzpicture}
+\end{minipage}
+
+\begin{Verbatim}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygon(A,B,C)
+\tkzDrawCircles(w,o)
+\tkzDrawEllipse[teal](G,\tkzUseLua{E.Rx},
+ \tkzUseLua{E.Ry},\tkzUseLua{ang})
+\tkzDrawEllipse[red](G,\tkzUseLua{EE.Rx},
+ \tkzUseLua{EE.Ry},\tkzUseLua{ang})
+\tkzDrawLines(F,E M,T1 M,T2) %
+\tkzDrawPoints(A,B,C,F,E,G,M,T1,T2)
+\tkzLabelPoints[above](C,M,T1)
+\tkzLabelPoints[right](T2,B)
+\tkzLabelPoints[below left](A,F,E,G)
+\end{tikzpicture}
+\end{Verbatim}
+% subsubsection steiner_inellipse_and_circumellipse (end)
+
+
\subsection{Harmonic division and bisector} % (fold)
\label{sub:harmonic_division_and_bisector}
\begin{minipage}{.4\textwidth}
- \begin{verbatim}
- \begin{tkzelements}
- scale = .4
- z.A = point: new (0 , 0)
- z.B = point: new (6 , 0)
- z.M = point: new (5 , 4)
- T.AMB = triangle : new (z.A,z.M,z.B)
- L.AB = T.AMB.ca
- L.bis = T.AMB : bisector (1)
- z.C = L.bis.pb
- L.bisext = T.AMB : bisector_ext (1)
- z.D = intersection (L.bisext,L.AB)
- L.CD = line: new (z.C,z.D)
- z.O = L.CD.mid
- L.AM = line: new (z.A,z.M)
- L.LL = L.AM : ll_from (z.B)
- L.MC = line: new (z.M,z.C)
- L.MD = line: new (z.M,z.D)
- z.E = intersection (L.LL,L.MC)
- z.F = intersection (L.LL,L.MD)
- \end{tkzelements}
- \end{verbatim}
+\begin{Verbatim}
+\begin{tkzelements}
+ scale = .4
+ z.A = point: new (0 , 0)
+ z.B = point: new (6 , 0)
+ z.M = point: new (5 , 4)
+ T.AMB = triangle : new (z.A,z.M,z.B)
+ L.AB = T.AMB.ca
+ L.bis = T.AMB : bisector (1)
+ z.C = L.bis.pb
+ L.bisext = T.AMB : bisector_ext (1)
+ z.D = intersection (L.bisext,L.AB)
+ L.CD = line: new (z.C,z.D)
+ z.O = L.CD.mid
+ L.AM = line: new (z.A,z.M)
+ L.LL = L.AM : ll_from (z.B)
+ L.MC = line: new (z.M,z.C)
+ L.MD = line: new (z.M,z.D)
+ z.E = intersection (L.LL,L.MC)
+ z.F = intersection (L.LL,L.MD)
+\end{tkzelements}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -379,7 +533,7 @@ Remark: If you don't need to use the triangle object several times, you can obta
\end{tikzpicture}
\end{minipage}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawPolygon(A,B,M)
@@ -394,11 +548,11 @@ Remark: If you don't need to use the triangle object several times, you can obta
\tkzMarkAngles[mark=|,size=.5](B,M,F M,F,B)
\tkzMarkSegments(B,E B,M B,F)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
% subsection harmonic_division_and_bisector (end)
% subsection methods_of_the_class_triangle (end)
-% section classe_triangle (end)
+% section class_triangle (end)
\endinput
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-vectors.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-vectors.tex
index 00d924bb83..b981ef555a 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-vectors.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-vectors.tex
@@ -18,7 +18,7 @@ If $\overrightarrow{CD} = \overrightarrow{BE} $ then $\overrightarrow{AB} + \ove
Creation |V.AB = vector: new (z.A,z.B)|
\end{mybox}
-\begin{verbatim}
+\begin{Verbatim}
z.A = ...
z.B = ...
z.C = ...
@@ -26,8 +26,8 @@ z.D = ...
V.AB = vector : new (z.A,z.B)
V.CD = vector : new (z.C,z.D)
V.AE = V.AB + V.CD -- possible V.AB : add (V.CD)
-z.E = V.AE.h -- we recover the final point (h = head)
-\end{verbatim}
+z.E = V.AE.head -- we recover the final point (head)
+\end{Verbatim}
\subsection{Attributes of a vector} % (fold)
\label{sub:attributes_of_a_vector}
@@ -41,11 +41,12 @@ z.E = V.AE.h -- we recover the final point (h = head)
\begin{tabular}{lll}
\toprule
\textbf{Attributes} & \textbf{Application}& \textbf{Example}\\
-\Iattr{vector}{pa} & |V.AB.t = z.A| t for tail & see (\ref{ssub:methods}) \\
-\Iattr{vector}{pb} & |V.AB.h = z.B| h for head & see (\ref{ssub:methods}) \\
+\Iattr{vector}{tail} & |V.AB.t = z.A| & Refer to (\ref{ssub:methods}) \\
+\Iattr{vector}{head} & |V.AB.head = z.B| & Refer to (\ref{ssub:methods}) \\
\Iattr{vector}{type} & |V.AB.type = 'vector'| & \\
-\Iattr{vector}{slope} & |V.AB.slope| & see (\ref{ssub:example_vector_attributes})\\
-\Iattr{vector}{length} & |V.AB.norm|& see (\ref{ssub:example_vector_attributes})\\
+\Iattr{vector}{slope} & |V.AB.slope| & Refer to (\ref{ssub:example_vector_attributes})\\
+\Iattr{vector}{length} & |V.AB.norm|& Refer to (\ref{ssub:example_vector_attributes})\\
+\Iattr{vector}{mtx} & |V.AB.mtx| & The result is a column matrix |{{V.AB.t},{V.AB.h}}|\\
\bottomrule
\end{tabular}
\egroup
@@ -54,30 +55,30 @@ z.E = V.AE.h -- we recover the final point (h = head)
\label{ssub:example_vector_attributes}
\begin{minipage}{.6\textwidth}
- \begin{verbatim}
- \begin{tkzelements}
- z.O = point: new (0,0)
- z.A = point: new (0,1)
- z.B = point: new (3,4)
- L.AB = line : new ( z.A , z.B )
- z.C = point: new (1,2)
- z.D = point: new (2,1)
- u = vector : new (z.A,z.B)
- v = vector : new (z.C,z.D)
- w =u+v
- z.E = w.h
- \end{tkzelements}
- \begin{tikzpicture}[gridded]
- \tkzGetNodes
- \tkzLabelPoints(A,B,C,D,O,E)
- \tkzDrawSegments[->,red](A,B C,D A,E)
- \tkzLabelSegment(A,B){$\overrightarrow{u}$}
- \tkzLabelSegment(C,D){$\overrightarrow{v}$}
- \tkzLabelSegment(A,E){$\overrightarrow{w}$}
- \end{tikzpicture}
- $\overrightarrow{w}$ has slope :
- $\tkzDN{\tkzUseLua{math.deg(w.slope)}}^\circ$
- \end{verbatim}
+\begin{Verbatim}
+\begin{tkzelements}
+ z.O = point: new (0,0)
+ z.A = point: new (0,1)
+ z.B = point: new (3,4)
+ L.AB = line : new ( z.A , z.B )
+ z.C = point: new (1,2)
+ z.D = point: new (2,1)
+ u = vector : new (z.A,z.B)
+ v = vector : new (z.C,z.D)
+ w =u+v
+ z.E = w.head
+\end{tkzelements}
+\begin{tikzpicture}[gridded]
+ \tkzGetNodes
+ \tkzLabelPoints(A,B,C,D,O,E)
+ \tkzDrawSegments[->,red](A,B C,D A,E)
+ \tkzLabelSegment(A,B){$\overrightarrow{u}$}
+ \tkzLabelSegment(C,D){$\overrightarrow{v}$}
+ \tkzLabelSegment(A,E){$\overrightarrow{w}$}
+\end{tikzpicture}
+$\overrightarrow{w}$ has slope :
+$\tkzDN{\tkzUseLua{math.deg(w.slope)}}^\circ$
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.4\textwidth}
\begin{tkzelements}
@@ -90,7 +91,7 @@ z.E = V.AE.h -- we recover the final point (h = head)
u = vector : new (z.A,z.B)
v = vector : new (z.C,z.D)
w = u+v
- z.E = w.h
+ z.E = w.head
\end{tkzelements}
\begin{tikzpicture}[gridded]
\tkzGetNodes
@@ -125,9 +126,9 @@ $\tkzDN{\tkzUseLua{math.deg(w.slope)}}^\circ$
\midrule
\textbf{Methods} & \textbf{Application}& \\
\Imeth{vector}{new(pt, pt)} & |V.AB = vector: new (z.A,z.B) | & \\
-\Imeth{vector}{normalize(V)} & |V.AB : normalize () | & \\
-\Imeth{vector}{orthogonal(d)} & |V.AB : orthogonal (d) | & \\
-\Imeth{vector}{scale(d)} & |V.CD = V.AB : scale (2) | & $\overrightarrow{CD} = 2\overrightarrow{AB} $ \\
+\Imeth{vector}{normalize(V)} & |V.AB : normalize () | & \\
+\Imeth{vector}{orthogonal(d)} & |V.AB : orthogonal (d) | & \\
+\Imeth{vector}{scale(d)} & |V.CD = V.AB : scale (2) | & $\overrightarrow{CD} = 2\overrightarrow{AB} $ \\
\Imeth{vector}{at (V)} & |V.DB = V.AC : at (z.D) | & $\overrightarrow{DB} = \overrightarrow{AC} $ \\
\bottomrule
\end{tabular}
@@ -137,56 +138,56 @@ $\tkzDN{\tkzUseLua{math.deg(w.slope)}}^\circ$
\label{ssub:example_of_methods}
\begin{minipage}{.5\textwidth}
- \begin{verbatim}
- \begin{tkzelements}
- z.O = point: new (0,0)
- z.A = point: new (0,1)
- z.B = point: new (3,4)
- V.AB = vector: new (z.A,z.B)
- V.AC = V.AB : scale (.5)
- z.C = V.AC.h
- V.AD = V.AB : orthogonal ()
- z.D = V.AD.h
- V.AN = V.AB : normalize ()
- z.N = V.AN.h
- V.AR = V.AB : orthogonal (2*math.sqrt(2))
- z.R = V.AR.h
- V.AX = 2*V.AC - V.AR
- z.X = V.AX.h
- V.OY = V.AX : at (z.O)
- z.Y = V.OY.h
- \end{tkzelements}
- \begin{tikzpicture}[gridded]
- \tkzGetNodes
- \tkzDrawSegments[>=stealth,->,red](A,B A,C A,D A,N A,R A,X O,Y)
- \tkzLabelPoints(A,B,C,D,O,N,R,X,Y)
- \end{tikzpicture}
- \end{verbatim}
+\begin{Verbatim}
+\begin{tkzelements}
+ z.O = point: new (0,0)
+ z.A = point: new (0,1)
+ z.B = point: new (3,4)
+ V.AB = vector: new (z.A,z.B)
+ V.AC = V.AB : scale (.5)
+ z.C = V.AC.head
+ V.AD = V.AB : orthogonal ()
+ z.D = V.AD.head
+ V.AN = V.AB : normalize ()
+ z.N = V.AN.head
+ V.AR = V.AB : orthogonal(2*math.sqrt(2))
+ z.R = V.AR.head
+ V.AX = 2*V.AC - V.AR
+ z.X = V.AX.head
+ V.OY = V.AX : at (z.O)
+ z.Y = V.OY.head
+\end{tkzelements}
+\begin{tikzpicture}[gridded]
+ \tkzGetNodes
+ \tkzDrawSegments[>=stealth,->,red](A,B A,C A,D A,N A,R A,X O,Y)
+ \tkzLabelPoints(A,B,C,D,O,N,R,X,Y)
+\end{tikzpicture}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
- \begin{tkzelements}
- z.O = point: new (0,0)
- z.A = point: new (0,1)
- z.B = point: new (3,4)
- V.AB = vector: new (z.A,z.B)
- V.AC = V.AB : scale (.5)
- z.C = V.AC.h
- V.AD = V.AB : orthogonal ()
- z.D = V.AD.h
- V.AN = V.AB : normalize ()
- z.N = V.AN.h
- V.AR = V.AB : orthogonal (2*math.sqrt(2))
- z.R = V.AR.h
- V.AX = 2*V.AC - V.AR
- z.X = V.AX.h
- V.OY = V.AX : at (z.O)
- z.Y = V.OY.h
- \end{tkzelements}
- \begin{tikzpicture}[gridded]
- \tkzGetNodes
- \tkzDrawSegments[>=stealth,->,red](A,B A,C A,D A,N A,R A,X O,Y)
- \tkzLabelPoints(A,B,C,D,O,N,R,X,Y)
- \end{tikzpicture}
+\begin{tkzelements}
+ z.O = point: new (0,0)
+ z.A = point: new (0,1)
+ z.B = point: new (3,4)
+ V.AB = vector: new (z.A,z.B)
+ V.AC = V.AB : scale (.5)
+ z.C = V.AC.head
+ V.AD = V.AB : orthogonal ()
+ z.D = V.AD.head
+ V.AN = V.AB : normalize ()
+ z.N = V.AN.head
+ V.AR = V.AB : orthogonal (2*math.sqrt(2))
+ z.R = V.AR.head
+ V.AX = 2*V.AC - V.AR
+ z.X = V.AX.head
+ V.OY = V.AX : at (z.O)
+ z.Y = V.OY.head
+\end{tkzelements}
+\begin{tikzpicture}[gridded]
+ \tkzGetNodes
+ \tkzDrawSegments[>=stealth,->,red](A,B A,C A,D A,N A,R A,X O,Y)
+ \tkzLabelPoints(A,B,C,D,O,N,R,X,Y)
+\end{tikzpicture}
\end{minipage}
% subsubsection example_of_methods (end)
% section class_vector (end)
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes.tex
index 5e4376b879..1228c60e08 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes.tex
@@ -6,31 +6,31 @@
\subsection{Class} % (fold)
\label{sub:class}
- Object-oriented programming (OOP) is defined as a programming model built on the concept of objects. An object can be defined as a data table that has unique attributes and methods (operations) that define its behavior.
+ Object-oriented programming (OOP) is a programming model based on the concept of objects. An object can be defined as a data table that has unique attributes and methods (operations) that define its behavior.
\vspace{1em}
-A class is essentially a user-defined data type. It describes the contents of the objects that belong to it. A class is a blueprint of an object, providing initial values for attributes and implementations of methods\footnote{action which an object is able to perform.} common to all objects of a certain kind.
+A class is essentially a user-defined data type. It describes the contents of the objects that belong to it. A class serves as a blueprint for creating objects, providing initial values for attributes and implementations of methods\footnote{action which an object is able to perform.} cthat are common to all objects of a certain kind.
% subsection class (end)
\subsection{Object} % (fold)
\label{sub:object}
- An Object is an instance of a class. Each object contains attributes and methods. Attributes are information or object characteristics stored in the date table (called field). The methods define behavior.
+ An Object is an instance of a class. Each object contains attributes and methods. Attributes are information or object characteristics of the object stored in the data table (called fields), while methods define the object's behavior.
\vspace{1em}
All objects in the package are typed. The object types currently defined and used are: \tkzNameObj{point}, \tkzNameObj{line}, \tkzNameObj{circle}, \tkzNameObj{triangle}, \tkzNameObj{ellipse}, \tkzNameObj{quadrilateral}, \tkzNameObj{square}, \tkzNameObj{rectangle}, \tkzNameObj{parallelogram} and \tkzNameObj{regular\_polygon}.
-They can be created directly using the method \Imeth{obj}{new} by giving points, with the exception of the \Iclass{class}{point} class which requires a pair of reals, and \Iclass{class}{regular\_polygon} which needs two points and an integer.
+These objects can be created directly using the method \Imeth{obj}{new} by giving points, with the exception of the \Iclass{class}{point} class which requires a pair of reals, and \Iclass{class}{regular\_polygon} which needs two points and an integer.
- Objects can also be obtained by applying methods to other objects. For example, |T.ABC : circum_circle ()| creates an object \tkzNameObj{circle}. Some object attributes are also objects, such as |T.ABC.bc| which creates the object \tkzNameObj{line}, a straight line passing through the last two points defining the triangle.
+ Objects can also be obtained by applying methods to other objects. For example, |T.ABC : circum_circle ()| creates an object \tkzNameObj{circle}. Some object attributes are also objects themselves, such as |T.ABC.bc| which creates the \tkzNameObj{line} object, representing a straight line passing through the last two points defining the triangle.
\vspace{1em}
\subsubsection{Attributes} % (fold)
\label{ssub:attributes}
- Attributes are accessed using the classic method, so |T.pc| gives the third point of the triangle and |C.OH.center| gives the center of the circle, but I've added a |get_points| function that returns the points of an object. This applies to straight lines (pa and pc), triangles (pa, pb and pc) and circles (center and through).
+ Attributes are accessed using the classic method, so |T.pc| retrieves the third point of the triangle and |C.OH.center| retrieves the center of the circle. Additionally, I've added a |get_points| function that returns the points of an object. This function applies to straight lines (pa and pc), triangles (pa, pb and pc) and circles (center and through).
\vspace{1em}
- Example: |z.O,z.T = get_points (C)| recovers the center and a point of the circle.
+ Example: |z.O,z.T = get_points (C)| retrieves the center and a point of the circle.
% subsubsection attributes (end)
\subsubsection{Methods} % (fold)
@@ -40,14 +40,14 @@ A method is an operation (function or procedure) associated (linked) with an obj
Example: The point object is used to vertically determine a new point object located at a certain distance from it (here 2). Then it is possible to rotate objects around it.
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point (1,0)
z.B = z.A : north (2)
z.C = z.A : rotation (math.pi/3,z.B)
tex.print(tostring(z.C))
\end{tkzelements}
-\end{verbatim}
+\end{Verbatim}
\begin{tkzelements}
z.A = point (1,0)
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-convention.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-convention.tex
index 90e07b1ef7..70b61fb902 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-convention.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-convention.tex
@@ -8,7 +8,7 @@
\begin{itemize}
\item Numerical variable: the writing conventions for real numbers are the same as for \pkg{Lua}.
- \item Complex numbers: as for real numbers but to define them you must write |za = point (1,2)|. Mathematically, this corresponds to 1+2i, which you can find with |tex.print(tostring(za))|.(see \ref{sub:complex_numbers})
+ \item Complex numbers: Similar to real numbers, but to define them, you must write |za = point (1,2)|. Mathematically, this corresponds to 1+2i, which you can find with |tex.print(tostring(za))|.(Refer \ref{sub:complex_numbers})
\item Boolean: you can write |bool = true| or |bool = false| then with Lua you can use the code :\\
\begin{mybox}
|if bool == ... then ... else ... end|
@@ -32,16 +32,16 @@
\subsection{Assigning a Name to a Point} % (fold)
\label{sub:assigning_a_name_to_a_point}
-Currently the only obligation is to store the points in the table |z| \footnote{To place the point M in the table, simply write |z.M| = \ldots or |z["M"]|= \ldots} if you want to use them in \TIKZ\ or \pkg{tkz-euclide}. If it is a point which will not be used, then you can designate it as you wish by respecting the conventions of Lua.
+At present, the only obligation is to store the points in the table |z| \footnote{To place the point M in the table, simply write |z.M| = \ldots or |z["M"]|= \ldots} if you intend to use them in \TIKZ\ or \pkg{tkz-euclide}. f a point will not be used, you can designate it as you wish while adhering to Lua conventions.
- The points which occur in the environment \tkzNameEnv{tkzelements} must respect a convention which is |z.name| such that |name| will be the name of the corresponding \tkzname{node}.
+ Points within the \tkzNameEnv{tkzelements} environment must follow a convention in the form |z.name|, where |name| represents the name of the corresponding \tkzname{node}.
-What are the conventions for designating |name|? You have to respect the Lua conventions in particular cases.
+As for the conventions for designating |name| you must adhere to Lua conventions in particular cases.
\begin{enumerate}
- \item The use of prime is problematic. If the point name contains more than one symbol and ends with |p| then when passing into \pkg{TikZ} or \pkg{tkz-euclide}, the letters |p| will be replaced by |'| using the macro \tkzcname{tkzGetNodes}; \index{prime}
+ \item The use of prime can be problematic. If the point name contains more than one symbol and ends with |p| then when passing into \pkg{TikZ} or \pkg{tkz-euclide}, the letters |p| will be replaced by |'| using the macro \tkzcname{tkzGetNodes}; \index{prime}
- \item One possibility, however, in order to have a more explicit code is to suppose that you want to designate a point by "euler". It would be possible for example to write |euler = ...|, and at the end of the code for the transfer, |z.E = euler|. It is also possible to use a temporary name |euler| and to replace it in \TIKZ{}. Either at the time of placing the labels, or for example by using |pgfnodealias{E}{euler}|. This possibility also applies in other cases: prime, double prime, etc.
+ \item Alternatively, for a more explicit code, suppose you want to designate a point as "euler". You could, for example, write |euler = ...|, and at the end of the code for the transfer, |z.E = euler|. It is also possible to use a temporary name |euler| and to replace it in \TIKZ{}. Either at the time of placing the labels, or for example by using |pgfnodealias{E}{euler}|. This possibility also applies in other cases: prime, double prime, etc.
\end{enumerate}
@@ -58,16 +58,24 @@ Here are some different ways of naming a point:
\subsection{Assigning a Name to Other Objects} % (fold)
\label{sub:assigning_a_name_to_other_objects}
-You have the choice to give a name to objects other than points. That said, it is preferable to respect certain rules in order to make the code easier to read.
-I have chosen for my examples the following conventions: first of all I store the objects in tables: |L.name| for lines and segments, |C.name| for circles, |T.name| for triangles, |E.name| for ellipses.
+You have the flexibility to assign names to objects other than points. However, it's advisable to adhere to certain conventions to enhance code readability. For my examples, I've chosen the following conventions: first of all, I store the objects in tables: |L| for lines and segments, |C| for circles, |T| for triangles, |E| for ellipses.
-For lines, I use the names of the two points. So if a line passes through points $A$ and $B$, I name the line |L.AB|.
+\begin{itemize}
+ \item
+ For lines, I use the names of the two points they pass through. For example, if a line passes through points $A$ and $B$, I name the line |L.AB|.
+
+\item Circles are stored in table named |C|.
+ For example, I name |C.AB| the circle of center $A$ passing through $B$. Other names like C.euler or C.external are also acceptable.
-For circles, I name |C.AB| the circle of center $A$ passing through $B$, but something like |C.euler| or |C.external| is fine.
+\item Triangles are stored in table named |T|.
+ For example, I name |T.ABC| the triangle whose vertices are $A$, $B$ and $C$. However, names like |T.feuerbach| are also acceptable.
+
+\item Ellipses are stored in table named |E|.
+ For ellipses, I name |E.ABC| the ellipse with center $A$ through vertex $B$ and covertex $C$.
+\end{itemize}
-For triangles, I name |T.ABC| the triangle whose vertices are $A$, $B$ and $C$ but |T.feuerbach|.
+Adhering to these conventions can help improve the readability of the code.
-For ellipses, I name |E.ABC| the ellipse with center $A$ through vertex $B$ and covertex $C$.
% subsection assigning_a_name_to_other_objects(end)
\subsection{Writing conventions for attributes, methods.} % (fold)
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-examples.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-examples.tex
index 5efb52381f..1b35c27263 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-examples.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-examples.tex
@@ -7,33 +7,33 @@
\label{sub:d_alembert_1}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
- \begin{verbatim}
- \begin{tkzelements}
- z.A = point : new (0,0)
- z.a = point : new (4,0)
- z.B = point : new (7,-1)
- z.b = point : new (5.5,-1)
- z.C = point : new (5,-4)
- z.c = point : new (4.25,-4)
- C.Aa = circle : new (z.A,z.a)
- C.Bb = circle : new (z.B,z.b)
- C.Cc = circle : new (z.C,z.c)
- z.I = C.Aa : external_similitude (C.Bb)
- z.J = C.Aa : external_similitude (C.Cc)
- z.K = C.Cc : external_similitude (C.Bb)
- z.Ip = C.Aa : internal_similitude (C.Bb)
- z.Jp = C.Aa : internal_similitude (C.Cc)
- z.Kp = C.Cc : internal_similitude (C.Bb)
- \end{tkzelements}
- \begin{tikzpicture}[rotate=-60]
- \tkzGetNodes
- \tkzDrawCircles(A,a B,b C,c)
- \tkzDrawPoints(A,B,C,I,J,K,I',J',K')
- \tkzDrawSegments[new](I,K A,I A,J B,I B,K C,J C,K)
- \tkzDrawSegments[purple](I,J' I',J I',K)
- \tkzLabelPoints(I,J,K,I',J',K')
- \end{tikzpicture}
- \end{verbatim}
+\begin{Verbatim}
+\begin{tkzelements}
+ z.A = point : new (0,0)
+ z.a = point : new (4,0)
+ z.B = point : new (7,-1)
+ z.b = point : new (5.5,-1)
+ z.C = point : new (5,-4)
+ z.c = point : new (4.25,-4)
+ C.Aa = circle : new (z.A,z.a)
+ C.Bb = circle : new (z.B,z.b)
+ C.Cc = circle : new (z.C,z.c)
+ z.I = C.Aa : external_similitude (C.Bb)
+ z.J = C.Aa : external_similitude (C.Cc)
+ z.K = C.Cc : external_similitude (C.Bb)
+ z.Ip = C.Aa : internal_similitude (C.Bb)
+ z.Jp = C.Aa : internal_similitude (C.Cc)
+ z.Kp = C.Cc : internal_similitude (C.Bb)
+\end{tkzelements}
+\begin{tikzpicture}[rotate=-60]
+ \tkzGetNodes
+ \tkzDrawCircles(A,a B,b C,c)
+ \tkzDrawPoints(A,B,C,I,J,K,I',J',K')
+ \tkzDrawSegments[new](I,K A,I A,J B,I B,K C,J C,K)
+ \tkzDrawSegments[purple](I,J' I',J I',K)
+ \tkzLabelPoints(I,J,K,I',J',K')
+\end{tikzpicture}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -70,28 +70,28 @@ z.Kp = C.Cc : internal_similitude (C.Bb)
\label{sub:d_alembert_2}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
- \begin{verbatim}
- \begin{tkzelements}
- scale = .75
- z.A = point : new (0,0)
- z.a = point : new (5,0)
- z.B = point : new (7,-1)
- z.b = point : new (3,-1)
- z.C = point : new (5,-4)
- z.c = point : new (2,-4)
- C.Aa = circle : new (z.A,z.a)
- C.Bb = circle : new (z.B,z.b)
- C.Cc = circle : new (z.C,z.c)
- z.i,z.j = get_points (C.Aa : radical_axis (C.Bb))
- z.k,z.l = get_points (C.Aa : radical_axis (C.Cc))
- z.m,z.n = get_points (C.Bb : radical_axis (C.Cc))
- \end{tkzelements}
- \begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawCircles(A,a B,b C,c)
- \tkzDrawLines[new](i,j k,l m,n)
- \end{tikzpicture}
- \end{verbatim}
+\begin{Verbatim}
+\begin{tkzelements}
+ scale = .75
+ z.A = point : new (0,0)
+ z.a = point : new (5,0)
+ z.B = point : new (7,-1)
+ z.b = point : new (3,-1)
+ z.C = point : new (5,-4)
+ z.c = point : new (2,-4)
+ C.Aa = circle : new (z.A,z.a)
+ C.Bb = circle : new (z.B,z.b)
+ C.Cc = circle : new (z.C,z.c)
+ z.i,z.j = get_points (C.Aa : radical_axis (C.Bb))
+ z.k,z.l = get_points (C.Aa : radical_axis (C.Cc))
+ z.m,z.n = get_points (C.Bb : radical_axis (C.Cc))
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawCircles(A,a B,b C,c)
+ \tkzDrawLines[new](i,j k,l m,n)
+\end{tikzpicture}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -122,7 +122,7 @@ z.Kp = C.Cc : internal_similitude (C.Bb)
\subsection{Alternate} % (fold)
\label{sub:alternate}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0 , 0)
z.B = point: new (6 , 0)
@@ -146,7 +146,7 @@ z.Kp = C.Cc : internal_similitude (C.Bb)
\tkzLabelPoints[above](C,D,E)
\tkzMarkSegments(A,C C,E)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\hspace*{\fill}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
@@ -195,25 +195,8 @@ scale=.75
z.E = z.M : symmetry (z.A)
\end{tkzelements}
-\hspace*{\fill}
-\begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawSegment[add=0 and 1](A,M)
- \tkzDrawSegments[purple](M,C M,D)
- \tkzDrawCircle[purple](O,C)
- \tkzDrawSegments(A,B B,M D,B)
- \tkzDrawPoints(A,B,M,C,D)
- \tkzLabelPoints[below right](A,B,C,D)
- \tkzLabelPoints[above](M)
- \tkzFillAngles[opacity=.4,cyan!20](A,M,B)
- \tkzFillAngles[opacity=.4,purple!20](B,M,E)
- \tkzMarkRightAngle[opacity=.4,fill=gray!20](C,M,D)
- \tkzMarkAngles[mark=|](A,M,C C,M,B)
- \tkzMarkAngles[mark=||](B,M,D D,M,E)
-\end{tikzpicture}
-\hspace*{\fill}
-
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
\begin{tkzelements}
scale=.75
z.A = point: new (0 , 0)
@@ -229,6 +212,31 @@ scale=.75
L.AM = T.MAB.ab
z.E = z.M : symmetry (z.A)
\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \hspace*{\fill}
+ \begin{tikzpicture}[scale=.8]
+ \tkzGetNodes
+ \tkzDrawSegment[add=0 and 1](A,M)
+ \tkzDrawSegments[purple](M,C M,D)
+ \tkzDrawCircle[purple](O,C)
+ \tkzDrawSegments(A,B B,M D,B)
+ \tkzDrawPoints(A,B,M,C,D)
+ \tkzLabelPoints[below right](A,B,C,D)
+ \tkzLabelPoints[above](M)
+ \tkzFillAngles[opacity=.4,cyan!20](A,M,B)
+ \tkzFillAngles[opacity=.4,purple!20](B,M,E)
+ \tkzMarkRightAngle[opacity=.4,fill=gray!20](C,M,D)
+ \tkzMarkAngles[mark=|](A,M,C C,M,B)
+ \tkzMarkAngles[mark=||](B,M,D D,M,E)
+ \end{tikzpicture}
+ \hspace*{\fill}
+\end{minipage}
+
+
+
+\begin{Verbatim}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawSegment[add=0 and 1](A,M)
@@ -244,7 +252,7 @@ scale=.75
\tkzMarkAngles[mark=|](A,M,C C,M,B)
\tkzMarkAngles[mark=||](B,M,D D,M,E)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
Remark : The circle can be obtained with:
@@ -256,7 +264,7 @@ Remark : The circle can be obtained with:
\subsection{Apollonius and circle circumscribed } % (fold)
\label{sub:apollonius_and_circle_circumscribed}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale =.75
z.A = point: new (0 , 0)
@@ -288,7 +296,7 @@ Remark : The circle can be obtained with:
\tkzLabelPoints[above](M)
\tkzMarkRightAngle[opacity=.4,fill=gray!20](C,M,D)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
@@ -331,7 +339,7 @@ Remark : The circle can be obtained with:
\label{sub:apollonius_circles}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0 , 0)
z.B = point: new (6 , 0)
@@ -361,6 +369,8 @@ Remark : The circle can be obtained with:
L.Bpt = line: new (z.Bp,z.T)
z.O3 = L.Bpt.mid
\end{tkzelements}
+\end{Verbatim}
+\begin{Verbatim}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawCircles[blue!50!black](O1,C' O2,A' O3,B')
@@ -372,7 +382,7 @@ Remark : The circle can be obtained with:
\tkzDrawCircle[purple](O,A)
\tkzDrawLine(O1,O2)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
z.A = point: new (0 , 0)
@@ -420,7 +430,7 @@ z.O3 = L.Bpt.mid
Same result using the function |T.ABC.ab : apollonius (k) |
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .75
z.A = point: new (0 , 0)
@@ -435,7 +445,7 @@ Same result using the function |T.ABC.ab : apollonius (k) |
C.BC = T.ABC.bc : apollonius (length(z.A,z.B)/length(z.A,z.C))
z.w3,z.t3 = get_points ( C.BC )
\end{tkzelements}
-\end{verbatim}
+\end{Verbatim}
% subsection apollonius_circles (end)
@@ -443,30 +453,30 @@ Same result using the function |T.ABC.ab : apollonius (k) |
\label{sub:archimedes}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
- \begin{verbatim}
- \begin{tkzelements}
- z.O_1 = point: new (0, 0)
- z.O_2 = point: new (0, 1)
- z.A = point: new (0, 3)
- z.F = point: polar (3, math.pi/6)
- L = line: new (z.F,z.O_1)
- C = circle: new (z.O_1,z.A)
- z.E = intersection (L,C)
- T = triangle: new (z.F,z.E,z.O_2)
- z.x = T: parallelogram ()
- L = line: new (z.x,z.O_2)
- C = circle: new (z.O_2,z.A)
- z.C,z.D = intersection (L ,C)
- \end{tkzelements}
- \begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawCircles(O_1,A O_2,A)
- \tkzDrawSegments[new](O_1,A E,F C,D)
- \tkzDrawSegments[purple](A,E A,F)
- \tkzDrawPoints(A,O_1,O_2,E,F,C,D)
- \tkzLabelPoints(A,O_1,O_2,E,F,C,D)
- \end{tikzpicture}
- \end{verbatim}
+\begin{Verbatim}
+\begin{tkzelements}
+ z.O_1 = point: new (0, 0)
+ z.O_2 = point: new (0, 1)
+ z.A = point: new (0, 3)
+ z.F = point: polar (3, math.pi/6)
+ L = line: new (z.F,z.O_1)
+ C = circle: new (z.O_1,z.A)
+ z.E = intersection (L,C)
+ T = triangle: new (z.F,z.E,z.O_2)
+ z.x = T: parallelogram ()
+ L = line: new (z.x,z.O_2)
+ C = circle: new (z.O_2,z.A)
+ z.C,z.D = intersection (L ,C)
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawCircles(O_1,A O_2,A)
+ \tkzDrawSegments[new](O_1,A E,F C,D)
+ \tkzDrawSegments[purple](A,E A,F)
+ \tkzDrawPoints(A,O_1,O_2,E,F,C,D)
+ \tkzLabelPoints(A,O_1,O_2,E,F,C,D)
+\end{tikzpicture}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -497,7 +507,7 @@ Same result using the function |T.ABC.ab : apollonius (k) |
\subsection{Bankoff circle} % (fold)
\label{sub:bankoff_circle}
-\begin{tkzexample}[small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0 , 0)
z.B = point: new (10 , 0)
@@ -537,6 +547,9 @@ Same result using the function |T.ABC.ab : apollonius (k) |
T.CP1P2 = triangle : new (z.C,z.P_1,z.P_2)
z.O_5 = T.CP1P2.circumcenter
\end{tkzelements}
+\end{Verbatim}
+
+\begin{Verbatim}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawSemiCircles[teal](O_0,B)
@@ -558,7 +571,7 @@ Same result using the function |T.ABC.ab : apollonius (k) |
\tkzLabelCircle[left](O_5,C)(140){$(\epsilon)$}
\end{scope}
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
@@ -630,8 +643,7 @@ Same result using the function |T.ABC.ab : apollonius (k) |
\subsection{Excircles} % (fold)
\label{sub:excircles}
-
-\begin{tkzexample}[small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale = 0.7
z.A = point: new (0,0)
@@ -665,7 +677,7 @@ Same result using the function |T.ABC.ab : apollonius (k) |
\tkzLabelPoints[new,right=6pt](T_a)
\tkzMarkRightAngles[fill=gray!15](J_a,T_a,B J_b,T_b,C J_c,T_c,A)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
scale=0.7
@@ -708,7 +720,7 @@ Same result using the function |T.ABC.ab : apollonius (k) |
\subsection{Orthogonal circle through} % (fold)
\label{sub:orthogonal_circle_through}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.O = point: new (0,1)
z.A = point: new (1,0)
@@ -725,7 +737,7 @@ Same result using the function |T.ABC.ab : apollonius (k) |
\tkzDrawPoints[new](O,A,z1,z2,c)
\tkzLabelPoints[right](O,A,z1,z2,c)
\end{tikzpicture}
-\end{tkzexample}%
+\end{Verbatim}
\begin{tkzelements}
z.O = point: new (0,1)
@@ -751,7 +763,7 @@ Same result using the function |T.ABC.ab : apollonius (k) |
\subsection{Divine ratio} % (fold)
\label{sub:divine_ratio}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0 , 0)
z.B = point: new (8 , 0)
@@ -785,7 +797,7 @@ z.L = intersection (L.AR,L.BG)
\tkzDrawPoints(A,B,C,K,E,F,G,H,O_0,O_1,O_2,R,S,T,L)
\tkzLabelPoints(A,B,C,K,E,F,G,H,O_0,O_1,O_2,R,S,T,L)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
z.A = point: new (0 , 0)
@@ -829,7 +841,7 @@ z.L = intersection (L.AR,L.BG)
\label{sub:director_circle}
% modif C: point (0.25) instead of 2
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .5
z.O = point: new (0 , 0)
@@ -859,7 +871,7 @@ z.L = intersection (L.AR,L.BG)
\tkzLabelPoints[above](L)
\tkzMarkRightAngles(A,P,H J,L,K)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -900,7 +912,7 @@ z.K = L.K.pb
\subsection{Gold division} % (fold)
\label{sub:gold_division}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0,0)
z.B = point: new (2.5,0)
@@ -928,7 +940,7 @@ z.O = C.AB: antipode (z.B)
\tkzDrawPoints(A,B,C,E,I,J,G,O,K)
\tkzLabelPoints(A,B,C,E,I,J,G,O,K)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
z.A = point: new (0,0)
@@ -965,7 +977,7 @@ z.O = C.AB: antipode (z.B)
\subsection{Ellipse} % (fold)
\label{sub:ellipse}
\begin{minipage}{.5\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.C = point: new (3 , 2)
z.A = point: new (5 , 1)
@@ -985,7 +997,7 @@ z.O = C.AB: antipode (z.B)
\tkzDrawPoints(C,A,B,b)
\tkzLabelPoints(C,A,B)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -1016,7 +1028,7 @@ slope = math.deg(E.slope)
\subsection{Ellipse with radii} % (fold)
\label{sub:ellipse_with_radii}
\begin{minipage}{.5\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale=.5
z.C = point: new (0 , 4)
@@ -1033,7 +1045,7 @@ z.CoV = E : point (math.pi/2)
\tkzUseLua{b},\tkzUseLua{ang})
\tkzDrawPoints(C,V,CoV)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -1059,7 +1071,7 @@ z.CoV = E : point (math.pi/2)
\subsection{Ellipse\_with\_foci} % (fold)
\label{sub:ellipse_with_foci}
\begin{minipage}{.5\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
local e
e = .8
@@ -1086,7 +1098,7 @@ z.CoV = E : point (math.pi/2)
\tkzDrawEllipse[teal](C,\tkzUseLua{a},\tkzUseLua{b},\tkzUseLua{ang})
\tkzDrawLines(K,F K,G)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -1124,7 +1136,7 @@ z.G = L.tb.pb
\subsection{Euler relation} % (fold)
\label{sub:euler_relation}
\begin{minipage}{.5\textwidth}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale = .75
z.A = point: new (0 , 0)
@@ -1152,7 +1164,7 @@ z.G = L.tb.pb
\tkzLabelPoints(A,B,C,J,I,w,H,K,E,O)
\tkzMarkRightAngles[fill=gray!20,opacity=.4](C,H,I A,K,J)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -1190,7 +1202,7 @@ _,z.E = intersection (L.Ow, C.OA)
\subsection{External angle} % (fold)
\label{sub:external_angle}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .75
z.A = point: new (0 , 0)
@@ -1214,7 +1226,7 @@ _,z.E = intersection (L.Ow, C.OA)
\tkzLabelPoints[above](C)
\tkzLabelPoints(A,B,D)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -1249,7 +1261,7 @@ z.E = z.C: symmetry (z.B)
\subsection{Internal angle} % (fold)
\label{sub:internal_angle}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .8
z.A = point: new (0 , 0)
@@ -1275,7 +1287,7 @@ z.E = z.C: symmetry (z.B)
\tkzLabelPoints[above](C,D,E)
\tkzMarkSegments(A,C C,E)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -1310,7 +1322,7 @@ z.E = intersection (L.LL,L.AD)
\subsection{Feuerbach theorem} % (fold)
\label{sub:nine_points}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = 1.5
z.A = point: new (0 , 0)
@@ -1350,7 +1362,7 @@ z.E = intersection (L.LL,L.AD)
\tkzDrawPoints(A,B,C,N,H,A',B',C',U,L,M,P,Q,F,I)
\tkzLabelPoints(A,B,C,N,H,A',B',C',U,L,M,P,Q,F,I)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -1397,7 +1409,7 @@ z.F = intersection (L.LH,C.IH) -- feuerbach
\subsection{Gold ratio with segment} % (fold)
\label{sub:gold_ratio_with_segment}
\begin{minipage}{.5\textwidth}
- \begin{verbatim}
+ \begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0 , 0)
z.B = point: new (8 , 0)
@@ -1418,7 +1430,7 @@ z.F = intersection (L.LH,C.IH) -- feuerbach
\tkzDrawArc[delta=20](M,A)(K)
\tkzLabelPoints(A,B,C)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -1450,7 +1462,7 @@ z.C = intersection (L.AK,L.AB)
\subsection{Gold Arbelos} % (fold)
\label{sub:gold_arbelos}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .6
z.A = point: new (0 , 0)
@@ -1471,7 +1483,7 @@ z.C = intersection (L.AK,L.AB)
\tkzDrawPoints(A,C,B,O_1,O_2,O_0)
\tkzLabelPoints(A,C,B)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -1502,7 +1514,7 @@ z.O_0 = L.AB.mid
\subsection{Harmonic division v1} % (fold)
\label{sub:harmonic_division_v1}
\begin{minipage}[t]{.4\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale=.75
z.A = point: new (0 , 0)
@@ -1534,7 +1546,7 @@ z.C = intersection (L.XG,L.AB)
\tkzLabelPoints(A,B,G,E,F,C,D)
\tkzMarkSegments(F,B B,E)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.6\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -1576,7 +1588,7 @@ z.C = intersection (L.XG,L.AB)
\subsection{Harmonic division v2} % (fold)
\label{sub:harmonic_division_v2}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .5
z.A = point: new (0 , 0)
@@ -1601,7 +1613,7 @@ z.C = intersection (L.XG,L.AB)
\tkzDrawPoints(A,...,G,X)
\tkzLabelPoints(A,...,G,X)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -1636,7 +1648,7 @@ z.C = intersection (L.GX,L.AB)
\subsection{Menelaus} % (fold)
\label{sub:menelaus}
\begin{minipage}{.4\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0 , 0)
z.B = point: new (6 , 0)
@@ -1657,7 +1669,7 @@ z.C = intersection (L.GX,L.AB)
\tkzDrawPoints(P,Q,R,A,B,C)
\tkzLabelPoints(A,B,C,P,Q,R)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -1689,7 +1701,7 @@ z.R = intersection (L.BC,L.PX)
\subsection{Radical axis v1} % (fold)
\label{sub:radical_axis_v1}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale = .75
z.X = point : new (0,0)
@@ -1718,7 +1730,7 @@ z.H = L.XY : projection (z.M)
\tkzDrawLines[red](A,M A',M X,Y E,F)
\tkzDrawLines[red,add=1 and 3](M,H)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
scale = .75
@@ -1754,7 +1766,7 @@ z.H = L.XY : projection (z.M)
\subsection{Radical axis v2} % (fold)
\label{sub:radical_axis_v2}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale = 1.25
z.O = point : new (-1,0)
@@ -1783,7 +1795,7 @@ _,z.Kp = get_points (L.MKp)
\tkzDrawPoints(O,O',T,M,T',K,K')
\tkzLabelPoints(O,O',T,T',K,K',M)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
scale =1.25
@@ -1820,7 +1832,7 @@ _,z.Kp = get_points (L.MKp)
\subsection{Radical axis v3} % (fold)
\label{sub:radical_axis_v3}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.O = point : new (0,0)
z.B = point : new (4,0)
@@ -1845,7 +1857,7 @@ _,z.Kp = get_points (L.MKp)
\tkzLabelPoints(O,O',B,E,F,T,T')
\tkzDrawArc(M,T')(T)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
z.O = point : new (0,0)
@@ -1877,7 +1889,7 @@ _,z.Tp = get_points (L)
\subsection{Radical axis v4} % (fold)
\label{sub:radical_axis_v4}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.O = point : new (0,0)
z.B = point : new (5,0)
@@ -1903,7 +1915,7 @@ _,z.Tp = get_points (L)
\tkzLabelPoints[below right](O,O',E,F,M,T,T')
\tkzDrawArc(M,B)(T)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
@@ -1938,7 +1950,7 @@ _,z.Tp = get_points (L)
\subsection{Radical center} % (fold)
\label{sub:radical_center}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.O = point : new (0,0)
z.x = point : new (1,0)
@@ -1965,7 +1977,7 @@ _,z.Tp = get_points (L)
\tkzDrawPoints(O,O',P,a,a',b,b',X,H)
\tkzLabelPoints[below right](O,O',P,H)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -2001,7 +2013,7 @@ z.H = L.OOp : projection (z.X)
\subsection{Radical circle} % (fold)
\label{sub:radical_circle}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .25
z.A = point: new (0,0)
@@ -2025,11 +2037,11 @@ z.H = L.OOp : projection (z.X)
\tkzDrawPoints(A,B,C)
\tkzLabelPoints(A,B,C)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
- scale = .25
+ scale = .5
z.A = point: new (0,0)
z.B = point: new (6,0)
z.C = point: new (0.8,4)
@@ -2053,79 +2065,23 @@ z.H = L.OOp : projection (z.X)
\tkzDrawPoints(A,B,C)
\tkzLabelPoints(A,B,C)
\end{tikzpicture}
+\hspace*{\fill}
\end{minipage}
% subsection radical_circle (end)
\subsection{Euler ellipse} % (fold)
\label{sub:hexagram}
-\begin{tkzexample}[latex=0cm,small,code only]
-\begin{tkzelements}
- z.A = point: new (0 , 0)
- z.B = point: new (5 , 1)
- L.AB = line : new (z.A,z.B)
- z.C = point: new (.8 , 3)
- T.ABC = triangle: new (z.A,z.B,z.C)
- z.N = T.ABC.eulercenter
- z.G = T.ABC.centroid
- z.O = T.ABC.circumcenter
- z.H = T.ABC.orthocenter
- z.Ma,z.Mb,z.Mc = get_points (T.ABC : medial ())
- z.Ha,z.Hb,z.Hc = get_points (T.ABC : orthic ())
- z.Ea,z.Eb,z.Ec = get_points (T.ABC: extouch())
- L.euler = T.ABC : euler_line ()
- C.circum = T.ABC : circum_circle ()
- C.euler = T.ABC : euler_circle ()
- z.I,z.J = intersection (L.euler,C.euler)
- E = ellipse: foci (z.H,z.O,z.I)
- a = E.Rx
- b = E.Ry
- ang = math.deg(E.slope)
- L.AH = line: new (z.A,z.H)
- L.BH = line: new (z.B,z.H)
- L.CH = line: new (z.C,z.H)
- z.X = intersection (L.AH,C.circum)
- _,z.Y = intersection (L.BH,C.circum)
- _,z.Z = intersection (L.CH,C.circum)
- L.BC = line: new (z.B,z.C)
- L.XO = line: new (z.X,z.O)
- L.YO = line: new (z.Y,z.O)
- L.ZO = line: new (z.Z,z.O)
- z.x = intersection (L.BC,L.XO)
- z.U = intersection (L.XO,E)
- _,z.V = intersection (L.YO,E)
- _,z.W = intersection (L.ZO,E)
- \end{tkzelements}
- \end{tkzexample}
-
-\begin{tkzexample}[latex=0cm,small,code only]
-\begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawPolygon(A,B,C)
- \tkzDrawCircles[red](N,Ma O,A)
- \tkzDrawSegments(A,X B,Y C,Z B,Hb C,Hc X,O Y,O Z,O)
- \tkzDrawPolygon[red](U,V,W)
- \tkzLabelPoints[red](U,V,W)
- \tkzLabelPoints(A,B,C,X,Y,Z)
- \tkzDrawLine[blue](I,J)
- \tkzLabelPoints[blue,right](O,N,G,H,I,J)
- \tkzDrawPoints(I,J,U,V,W)
- \tkzDrawPoints(A,B,C,N,G,H,O,X,Y,Z,Ma,Mb,Mc,Ha,Hb,Hc)
- \tkzDrawEllipse[blue](N,\tkzUseLua{a},\tkzUseLua{b},\tkzUseLua{ang})
-\end{tikzpicture}
-\end{tkzexample}
-
\begin{tkzelements}
-scale = 2
-E = {}
+ scale =1.3
z.A = point: new (0 , 0)
z.B = point: new (5 , 1)
L.AB = line : new (z.A,z.B)
z.C = point: new (.8 , 3)
T.ABC = triangle: new (z.A,z.B,z.C)
-z.N = T.ABC.eulercenter
-z.G = T.ABC.centroid
-z.O = T.ABC.circumcenter
-z.H = T.ABC.orthocenter
+z.N = T.ABC.eulercenter
+z.G = T.ABC.centroid
+z.O = T.ABC.circumcenter
+z.H = T.ABC.orthocenter
z.Ma,z.Mb,z.Mc = get_points (T.ABC : medial ())
z.Ha,z.Hb,z.Hc = get_points (T.ABC : orthic ())
z.Ea,z.Eb,z.Ec = get_points (T.ABC: extouch())
@@ -2133,7 +2089,7 @@ L.euler = T.ABC : euler_line ()
C.circum = T.ABC : circum_circle ()
C.euler = T.ABC : euler_circle ()
z.I,z.J = intersection (L.euler,C.euler)
- E = ellipse: foci (z.H,z.O,z.I)
+E = ellipse: foci (z.H,z.O,z.I)
a = E.Rx
b = E.Ry
ang = math.deg(E.slope)
@@ -2153,6 +2109,51 @@ _,z.V = intersection (L.YO,E)
_,z.W = intersection (L.ZO,E)
\end{tkzelements}
+\begin{minipage}{.4\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ scale = 1.3
+ z.A = point: new (0 , 0)
+ z.B = point: new (5 , 1)
+ L.AB = line : new (z.A,z.B)
+ z.C = point: new (.8 , 3)
+ T.ABC = triangle: new (z.A,z.B,z.C)
+ z.N = T.ABC.eulercenter
+ z.G = T.ABC.centroid
+ z.O = T.ABC.circumcenter
+ z.H = T.ABC.orthocenter
+ z.Ma,z.Mb,
+ z.Mc = get_points (T.ABC : medial ())
+ z.Ha,z.Hb,
+ z.Hc = get_points (T.ABC : orthic ())
+ z.Ea,z.Eb,
+ z.Ec = get_points (T.ABC: extouch())
+ L.euler = T.ABC : euler_line ()
+ C.circum = T.ABC : circum_circle ()
+ C.euler = T.ABC : euler_circle ()
+ z.I,z.J = intersection (L.euler,C.euler)
+ E = ellipse: foci (z.H,z.O,z.I)
+ a = E.Rx
+ b = E.Ry
+ ang = math.deg(E.slope)
+ L.AH = line: new (z.A,z.H)
+ L.BH = line: new (z.B,z.H)
+ L.CH = line: new (z.C,z.H)
+ z.X = intersection (L.AH,C.circum)
+ _,z.Y = intersection (L.BH,C.circum)
+ _,z.Z = intersection (L.CH,C.circum)
+ L.BC = line: new (z.B,z.C)
+ L.XO = line: new (z.X,z.O)
+ L.YO = line: new (z.Y,z.O)
+ L.ZO = line: new (z.Z,z.O)
+ z.x = intersection (L.BC,L.XO)
+ z.U = intersection (L.XO,E)
+ _,z.V = intersection (L.YO,E)
+ _,z.W = intersection (L.ZO,E)
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.6\textwidth}
\hspace*{\fill}
\begin{tikzpicture}
\tkzGetNodes
@@ -2169,80 +2170,32 @@ _,z.W = intersection (L.ZO,E)
\tkzDrawEllipse[blue](N,\tkzUseLua{a},\tkzUseLua{b},\tkzUseLua{ang})
\end{tikzpicture}
\hspace*{\fill}
-% subsection hexagram (end)
-
-\subsection{Gold Arbelos properties} % (fold)
-\label{sub:gold_arbelos_properties}
+\end{minipage}
-\begin{tkzexample}[latex=0cm,small,code only]
-\begin{tkzelements}
- z.A = point : new(0,0)
- z.B = point : new(10,0)
- z.C = gold_segment_ (z.A,z.B)
- L.AB = line:new (z.A,z.B)
- z.O_1 = L.AB.mid
- L.AC = line:new (z.A,z.C)
- z.O_2 = L.AC.mid
- L.CB = line:new (z.C,z.B)
- z.O_3 = L.CB.mid
- C1 = circle:new (z.O_1,z.B)
- C2 = circle:new (z.O_2,z.C)
- C3 = circle:new (z.O_3,z.B)
- z.Q = C2.north
- z.P = C3.north
- L1 = line:new (z.O_2,z.O_3)
- z.M_0 = L1:harmonic_ext (z.C)
- L2 = line:new (z.O_1,z.O_2)
- z.M_1 = L2:harmonic_int (z.A)
- L3 = line:new (z.O_1,z.O_3)
- z.M_2 = L3:harmonic_int (z.B)
- Lbq = line:new (z.B,z.Q)
- Lap = line:new (z.A,z.P)
- z.S = intersection (Lbq,Lap)
- z.x = z.C: north ()
- L = line : new (z.C,z.x)
- z.D,_ = intersection (L,C1)
- L.CD = line :new (z.C,z.D)
- z.O_7 = L.CD.mid
- C.DC = circle: new (z.D,z.C)
- z.U,z.V = intersection (C.DC,C1)
- L.UV = line :new (z.U,z.V)
- z.R ,z.S = L.UV : projection (z.O_2,z.O_3)
- L.O1D = line : new (z.O_1,z.D)
- z.W = intersection (L.UV,L.O1D)
- z.O = C.DC : inversion (z.W)
-\end{tkzelements}
+\begin{Verbatim}
\begin{tikzpicture}
\tkzGetNodes
- \tkzDrawCircles[teal](O_1,B)
- \tkzDrawSemiCircles[thin,teal](O_2,C O_3,B)
- \tkzDrawArc[purple,delta=0](D,V)(U)
- \tkzDrawCircle[new](O_7,C)
- \tkzDrawSegments[thin,purple](A,D D,B C,R C,S C,D U,V)
- \tkzDrawSegments[thin,red](O,D A,O O,B)
- \tkzDrawPoints(A,B,C,D,O_7) %,
- \tkzDrawPoints(O_1,O_2,O_3,U,V,R,S,W,O)
- \tkzDrawSegments[cyan](O_3,S O_2,R)
- \tkzDrawSegments[very thin](A,B)
- \tkzDrawSegments[cyan,thin](C,U U,D)
- \tkzMarkRightAngles[size=.2,fill=gray!40,opacity=.4](D,C,A A,D,B
- D,S,C D,W,V O_3,S,U O_2,R,U)
- \tkzFillAngles[cyan!40,opacity=.4](B,A,D A,D,O_1
- C,D,B D,C,R B,C,S A,R,O_2)
- \tkzFillAngles[green!40,opacity=.4](S,C,D W,R,D
- D,B,C R,C,A O_3,S,B)
- \tkzLabelPoints[below](C,O_2,O_3,O_1)
- \tkzLabelPoints[above](D)
- \tkzLabelPoints[below](O)
- \tkzLabelPoints[below left](A)
- \tkzLabelPoints[above left](R)
- \tkzLabelPoints[above right](S)
- \tkzLabelPoints[left](V)
- \tkzLabelPoints[below right](B,U,W,O_7)
+ \tkzDrawPolygon(A,B,C)
+ \tkzDrawCircles[red](N,Ma O,A)
+ \tkzDrawSegments(A,X B,Y C,Z B,Hb C,Hc X,O Y,O Z,O)
+ \tkzDrawPolygon[red](U,V,W)
+ \tkzLabelPoints[red](U,V,W)
+ \tkzLabelPoints(A,B,C,X,Y,Z)
+ \tkzDrawLine[blue](I,J)
+ \tkzLabelPoints[blue,right](O,N,G,H,I,J)
+ \tkzDrawPoints(I,J,U,V,W)
+ \tkzDrawPoints(A,B,C,N,G,H,O,X,Y,Z,Ma,Mb,Mc,Ha,Hb,Hc)
+ \tkzDrawEllipse[blue](N,\tkzUseLua{a},\tkzUseLua{b},\tkzUseLua{ang})
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
+
+% subsection hexagram (end)
+
+\subsection{Gold Arbelos properties} % (fold)
+\label{sub:gold_arbelos_properties}
\begin{tkzelements}
+scale = .7
z.A = point : new(0,0)
z.B = point : new(10,0)
z.C = gold_segment_ (z.A,z.B)
@@ -2280,6 +2233,48 @@ z.W = intersection (L.UV,L.O1D)
z.O = C.DC : inversion (z.W)
\end{tkzelements}
+\begin{minipage}{.4\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ z.A = point : new(0,0)
+ z.B = point : new(10,0)
+ z.C = gold_segment_ (z.A,z.B)
+ L.AB = line:new (z.A,z.B)
+ z.O_1 = L.AB.mid
+ L.AC = line:new (z.A,z.C)
+ z.O_2 = L.AC.mid
+ L.CB = line:new (z.C,z.B)
+ z.O_3 = L.CB.mid
+ C1 = circle:new (z.O_1,z.B)
+ C2 = circle:new (z.O_2,z.C)
+ C3 = circle:new (z.O_3,z.B)
+ z.Q = C2.north
+ z.P = C3.north
+ L1 = line:new (z.O_2,z.O_3)
+ z.M_0 = L1:harmonic_ext (z.C)
+ L2 = line:new (z.O_1,z.O_2)
+ z.M_1 = L2:harmonic_int (z.A)
+ L3 = line:new (z.O_1,z.O_3)
+ z.M_2 = L3:harmonic_int (z.B)
+ Lbq = line:new (z.B,z.Q)
+ Lap = line:new (z.A,z.P)
+ z.S = intersection (Lbq,Lap)
+ z.x = z.C: north ()
+ L = line : new (z.C,z.x)
+ z.D,_ = intersection (L,C1)
+ L.CD = line :new (z.C,z.D)
+ z.O_7 = L.CD.mid
+ C.DC = circle: new (z.D,z.C)
+ z.U,z.V = intersection (C.DC,C1)
+ L.UV = line :new (z.U,z.V)
+ z.R ,z.S = L.UV : projection (z.O_2,z.O_3)
+ L.O1D = line : new (z.O_1,z.D)
+ z.W = intersection (L.UV,L.O1D)
+ z.O = C.DC : inversion (z.W)
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.6\textwidth}
\hspace*{\fill}
\begin{tikzpicture}
\tkzGetNodes
@@ -2310,11 +2305,43 @@ z.O = C.DC : inversion (z.W)
\tkzLabelPoints[below right](B,U,W,O_7)
\end{tikzpicture}
\hspace*{\fill}
+\end{minipage}
+
+\begin{Verbatim}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawCircles[teal](O_1,B)
+ \tkzDrawSemiCircles[thin,teal](O_2,C O_3,B)
+ \tkzDrawArc[purple,delta=0](D,V)(U)
+ \tkzDrawCircle[new](O_7,C)
+ \tkzDrawSegments[thin,purple](A,D D,B C,R C,S C,D U,V)
+ \tkzDrawSegments[thin,red](O,D A,O O,B)
+ \tkzDrawPoints(A,B,C,D,O_7) %,
+ \tkzDrawPoints(O_1,O_2,O_3,U,V,R,S,W,O)
+ \tkzDrawSegments[cyan](O_3,S O_2,R)
+ \tkzDrawSegments[very thin](A,B)
+ \tkzDrawSegments[cyan,thin](C,U U,D)
+ \tkzMarkRightAngles[size=.2,fill=gray!40,opacity=.4](D,C,A A,D,B
+ D,S,C D,W,V O_3,S,U O_2,R,U)
+ \tkzFillAngles[cyan!40,opacity=.4](B,A,D A,D,O_1
+ C,D,B D,C,R B,C,S A,R,O_2)
+ \tkzFillAngles[green!40,opacity=.4](S,C,D W,R,D
+ D,B,C R,C,A O_3,S,B)
+ \tkzLabelPoints[below](C,O_2,O_3,O_1)
+ \tkzLabelPoints[above](D)
+ \tkzLabelPoints[below](O)
+ \tkzLabelPoints[below left](A)
+ \tkzLabelPoints[above left](R)
+ \tkzLabelPoints[above right](S)
+ \tkzLabelPoints[left](V)
+ \tkzLabelPoints[below right](B,U,W,O_7)
+\end{tikzpicture}
+\end{Verbatim}
% subsection gold_arbelos_properties (end)
\subsection{Apollonius circle v1 with inversion} % (fold)
\label{sub:apollonius_circle_v1_with_inversion}
-\begin{tkzexample}[code only,small]
+\begin{Verbatim}
\begin{tkzelements}
scale = .7
z.A = point: new (0,0)
@@ -2350,7 +2377,7 @@ z.O = C.DC : inversion (z.W)
\tkzDrawPoints[teal](S)
\tkzLabelPoints(A,B,C,O,S,N)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
scale = .5
@@ -2394,7 +2421,7 @@ z.O = C.DC : inversion (z.W)
\subsection{Apollonius circle v2} % (fold)
\label{sub:apollonius_circle_v2}
- \begin{tkzexample}[small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale = .5
z.A = point: new (0,0)
@@ -2434,7 +2461,7 @@ z.O = C.DC : inversion (z.W)
\tkzDrawPoints[red](N,O,L,S,o,t)
\tkzLabelPoints[right,font=\tiny](A,B,C,Ja,Jb,Jc,O,N,L,S,Ma,o)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
scale =.5
@@ -2484,7 +2511,7 @@ z.t = intersection (L.ox,L.MaS) -- through
\subsection{Orthogonal circles v1} % (fold)
\label{sub:orthogonal_circles_v1}
-\begin{tkzexample}[small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale = .6
z.C_1 = point: new (0,0)
@@ -2509,7 +2536,7 @@ z.t = intersection (L.ox,L.MaS) -- through
\tkzLabelCircle[left=10pt](C_1,T)(180){Circle 1}
\tkzLabelCircle[right=10pt](C_2,T)(180){Circle 2}
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
scale = .6
@@ -2542,7 +2569,7 @@ z.S,z.T = get_points (C: orthogonal_from (z.C_2))
\subsection{Orthogonal circles v2} % (fold)
\label{sub:orthogonal_circles_v2}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale = .75
z.O = point: new (2,2)
@@ -2575,7 +2602,7 @@ z.M = L.OOp.mid
\tkzLabelPoint[below](T'){$T'$}
\tkzLabelPoint[above left](O'){$O'$}
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
scale = .75
@@ -2617,7 +2644,7 @@ z.M = L.OOp.mid
\subsection{Orthogonal circle to two circles} % (fold)
\label{sub:orthogonal_circle_to_two_circles}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.O = point : new (-1,0)
z.B = point : new (0,2)
@@ -2645,7 +2672,7 @@ z.M = L.OOp.mid
\tkzDrawPoints(O,O',T,M,T',K,K')
\tkzLabelPoints(O,O',T,T',M,K,K')
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
scale = 1.25
@@ -2761,7 +2788,7 @@ z.H_4,z.F,z.E,z.H_0 = L.AB : projection (z.O_4,z.G,z.H,z.P_0)
\end{tikzpicture}
\hspace*{\fill}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0 , 0)
z.B = point: new (10 , 0)
@@ -2808,9 +2835,9 @@ z.H_4,z.F,z.E,z.H_0 = L.AB : projection (z.O_4,z.G,z.H,z.P_0)
z.Ap = z.M_1: symmetry (z.A)
z.H_4,z.F,z.E,z.H_0 = L.AB : projection (z.O_4,z.G,z.H,z.P_0)
\end{tkzelements}
-\end{tkzexample}
+\end{Verbatim}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawCircle[thin,fill=green!10](O_4,P_0)
@@ -2839,14 +2866,14 @@ z.H_4,z.F,z.E,z.H_0 = L.AB : projection (z.O_4,z.G,z.H,z.P_0)
\tkzLabelCircle[left,font=\scriptsize](O_4,P_2)(60){$(\delta)$}
\tkzLabelCircle[above left,font=\scriptsize](O_5,C)(40){$(\epsilon)$}
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
% subsection midcircles (end)
\subsection{Pencil v1} % (fold)
\label{sub:pencil_v1}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale = .75
z.A = point : new (0,2)
@@ -2873,7 +2900,7 @@ z.H_4,z.F,z.E,z.H_0 = L.AB : projection (z.O_4,z.G,z.H,z.P_0)
\tkzLabelPoints[below right](A,B,C_0,C_1,M_0,M_1,x,y)
\tkzLabelLine[pos=1.25,right]( M_0,M_1){$(\Delta)$}
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
scale=.75
@@ -2908,7 +2935,7 @@ z.O = L.BA.mid
\subsection{Pencil v2} % (fold)
\label{sub:pencil_v2}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale=.75
z.A = point : new (0,0)
@@ -2937,7 +2964,7 @@ z.O = L.BA.mid
\tkzLabelPoints[below right](A,B,C_0,C_1,M_0,M_1,M_2)
\tkzLabelLine[pos=2,right]( M_0,M_1){$(\Delta)$}
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
scale=.75
@@ -2975,7 +3002,7 @@ z.O = L.BA.mid
\subsection{Power v1} % (fold)
\label{sub:power_v1}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.O = point : new (0,0)
z.A = point : new (2,-2)
@@ -2994,7 +3021,7 @@ z.O = L.BA.mid
\tkzLabelPoints(O,A,A',M,B)
\tkzDrawSegments[-Triangle](M,A M,A')
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -3024,7 +3051,7 @@ z.B = intersection (L.AM, C.OA)
\subsection{Power v2} % (fold)
\label{sub:power_v2}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.O = point : new (0,0)
z.A = point : new (2,2)
@@ -3047,7 +3074,7 @@ z.B = intersection (L.AM, C.OA)
\tkzLabelPoints[below left](A',B)
\tkzDrawSegments(M,A M,A')
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -3079,7 +3106,7 @@ z.U,z.V = intersection (L.mM,C.OA)
\subsection{Reim v1} % (fold)
\label{sub:reim_v1}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0,0)
z.E = point: new (-2,2)
@@ -3110,7 +3137,7 @@ z.U,z.V = intersection (L.mM,C.OA)
\tkzMarkAngles[size=.5](F,C,H G,D,E)
\tkzFillAngles[red!40,opacity=.4,size=.5](F,C,H G,D,E)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
z.A = point: new (0,0)
@@ -3149,7 +3176,7 @@ z.U,z.V = intersection (L.mM,C.OA)
\subsection{Reim v2} % (fold)
\label{sub:reim_v2}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale = .6
z.A = point: new (0,0)
@@ -3175,10 +3202,10 @@ z.U,z.V = intersection (L.mM,C.OA)
\tkzLabelCircle[below=4pt,font=\scriptsize](A,C)(90){$(\alpha)$}
\tkzLabelCircle[left=4pt,font=\scriptsize](B,C)(-90){$(\beta)$}
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
-scale = .6
+scale = .4
z.A = point: new (0,0)
z.B = point: new (10,0)
z.C = point: new (4,0)
@@ -3209,7 +3236,7 @@ z.n,z.np = get_points (C.BC: tangent_at (z.N))
\subsection{Reim v3} % (fold)
\label{sub:reim_v3}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0,0)
z.B = point: new (8,0)
@@ -3247,10 +3274,10 @@ z.n,z.np = get_points (C.BC: tangent_at (z.N))
\tkzLabelCircle[left=4pt,font=\scriptsize](y,B)(60){$(\beta)$}
\tkzLabelCircle[below=4pt,font=\scriptsize](z,C)(60){$(\gamma)$}
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
- scale = 1.25
+ scale = .75
z.A = point: new (0,0)
z.B = point: new (8,0)
z.C = point: new (2,6)
@@ -3294,7 +3321,7 @@ z.n,z.np = get_points (C.BC: tangent_at (z.N))
\subsection{Tangent and circle} % (fold)
\label{sub:tangent_and_circle}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (1,0)
z.B = point: new (2,2)
@@ -3315,7 +3342,7 @@ z.n,z.np = get_points (C.BC: tangent_at (z.N))
\tkzDrawLines(E,i E,j k,l)
\tkzLabelPoints[right,font=\small](A,B,E,S,M)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -3345,7 +3372,7 @@ z.k,z.l = get_points (C.AB: tangent_at (z.B))
\subsection{Homothety} % (fold)
\label{sub:homothety}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0,0)
z.B = point: new (1,2)
@@ -3359,7 +3386,7 @@ z.k,z.l = get_points (C.AB: tangent_at (z.B))
\tkzDrawCircles(A,B C,D)
\tkzDrawLines(E,C E,D)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -3382,7 +3409,7 @@ z.C,z.D = z.E : homothety(2,z.A,z.B)
\subsection{Tangent and chord} % (fold)
\label{sub:tangent_and_chord}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .8
z.A = point: new (0 , 0)
@@ -3409,7 +3436,7 @@ z.C,z.D = z.E : homothety(2,z.A,z.B)
\tkzFillAngles[teal!20,opacity=.3](A,D,B b2,B,A)
\tkzLabelPoints(A,B,C,D,H,O)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -3447,7 +3474,7 @@ z.H = L.AB: projection (z.O)
\subsection{Three chords} % (fold)
\label{sub:three_chords}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.O = point: new (0 , 0)
z.B = point: new (0 , 2)
@@ -3477,25 +3504,8 @@ z.Ap = intersection (L.GB,C.xB)
z.Ep,_ = intersection (L.GE,C.xF)
z.Cp,_ = intersection (L.GD,C.xD)
\end{tkzelements}
-\begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawCircles(O,B)
- \tkzDrawCircles[cyan](P,B)
- \tkzDrawCircles[red](w,E)
- \tkzDrawCircles[new](x,F)
- \tkzDrawSegments(A,G E,G C,G)
- \tkzDrawPolygons[new](A,E,C A',E',C')
- \tkzDrawPoints(A,...,G,A',E',C',O,P)
- \begin{scope}[font=\scriptsize]
- \tkzLabelPoints(A,...,F)
- \tkzLabelPoints[above left](G,A',E',C')
- \tkzLabelCircle[left](O,B)(30){$(\beta)$}
- \tkzLabelCircle[below](P,A)(40){$(\gamma)$}
- \tkzLabelCircle[right](w,C)(90){$(\alpha)$}
- \tkzLabelCircle[left](x,B)(-230){$((\delta))$}
- \end{scope}
-\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
+
\begin{tkzelements}
z.O = point: new (0 , 0)
@@ -3527,8 +3537,31 @@ z.Ep,_ = intersection (L.GE,C.xF)
z.Cp,_ = intersection (L.GD,C.xD)
\end{tkzelements}
+\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
+\begin{Verbatim}
+ \begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawCircles(O,B)
+ \tkzDrawCircles[cyan](P,B)
+ \tkzDrawCircles[red](w,E)
+ \tkzDrawCircles[new](x,F)
+ \tkzDrawSegments(A,G E,G C,G)
+ \tkzDrawPolygons[new](A,E,C A',E',C')
+ \tkzDrawPoints(A,...,G,A',E',C',O,P)
+ \begin{scope}[font=\scriptsize]
+ \tkzLabelPoints(A,...,F)
+ \tkzLabelPoints[above left](G,A',E',C')
+ \tkzLabelCircle[left](O,B)(30){$(\beta)$}
+ \tkzLabelCircle[below](P,A)(40){$(\gamma)$}
+ \tkzLabelCircle[right](w,C)(90){$(\alpha)$}
+ \tkzLabelCircle[left](x,B)(-230){$((\delta))$}
+ \end{scope}
+ \end{tikzpicture}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\hspace*{\fill}
-\begin{tikzpicture}
+\begin{tikzpicture}[scale=.75]
\tkzGetNodes
\tkzDrawCircles(O,B)
\tkzDrawCircles[cyan](P,B)
@@ -3547,13 +3580,14 @@ z.Cp,_ = intersection (L.GD,C.xD)
\end{scope}
\end{tikzpicture}
\hspace*{\fill}
+\end{minipage}
% subsection three_chords (end)
\subsection{Three tangents} % (fold)
\label{sub:three_tangents}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (-1 , 0)
z.C = point: new (4 , -1.5)
@@ -3583,7 +3617,7 @@ z.Cp,_ = intersection (L.GD,C.xD)
\tkzLabelPoints[above right](E,F)
\tkzLabelPoints[below](C)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -3624,7 +3658,7 @@ z.I = intersection (L.TA,L.TC)
\subsection{Midarc} % (fold)
\label{sub:midarc}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (-1,0)
z.B = point: new (2,4)
@@ -3639,7 +3673,7 @@ z.I = intersection (L.TA,L.TC)
\tkzDrawPoints(A,...,D)
\tkzLabelPoints(A,...,D)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -3658,6 +3692,7 @@ z.D = C.AB: midarc (z.B,z.C)
\tkzDrawPoints(A,...,D)
\tkzLabelPoints(A,...,D)
\end{tikzpicture}
+\hspace*{\fill}
\end{minipage}
% subsection midarc (end)
@@ -3665,7 +3700,7 @@ z.D = C.AB: midarc (z.B,z.C)
\label{sub:lemoine_line_without_macro}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = 1.6
z.A = point: new (1,0)
@@ -3697,7 +3732,7 @@ z.D = C.AB: midarc (z.B,z.C)
\tkzDrawLines[red](Ar,Al Br,Q Cr,Cl)
\tkzDrawSegments(A,R C,P C,Q)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -3740,7 +3775,7 @@ z.R = intersection (L.tC,L.AB)
\label{sub:first_lemoine_circle}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (1,1)
z.B = point: new (5,1)
@@ -3758,7 +3793,7 @@ z.R = intersection (L.tC,L.AB)
\tkzLabelPoints(A,B,C,o,w,O,L)
\tkzDrawCircles(o,w O,A)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -3771,20 +3806,21 @@ z.o,z.w = get_points (T : first_lemoine_circle ())
z.L = T : lemoine_point ()
\end{tkzelements}
\hspace*{\fill}
-\begin{tikzpicture}
+\begin{tikzpicture}[scale = 1.25]
\tkzGetNodes
\tkzDrawPolygons(A,B,C)
\tkzDrawPoints(A,B,C,o,w,O,L)
\tkzLabelPoints(A,B,C,o,w,O,L)
\tkzDrawCircles(o,w O,A)
\end{tikzpicture}
+\hspace*{\fill}
\end{minipage}
% subsection first_lemoine_circle (end)
\subsection{First and second Lemoine circles} % (fold)
\label{sub:first_and_second_lemoine_circles}
-\begin{tkzexample}[latex=0cm,small,code only]
+\begin{Verbatim}
\begin{tkzelements}
scale = 2
z.a = point: new (0,0)
@@ -3820,7 +3856,7 @@ z.L = T : lemoine_point ()
\tkzDrawCircles(L,x o,p O,a)
\tkzDrawSegments(L,O x1,x4 x2,x5 x3,x6)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\begin{tkzelements}
scale = 2
@@ -3848,7 +3884,7 @@ L.y2y3 = line : new (z.y2,z.y3)
\end{tkzelements}
\hspace*{\fill}
-\begin{tikzpicture}
+\begin{tikzpicture}[scale = .75]
\tkzGetNodes
\tkzDrawPolygons(a,b,c y1,y2,y3,y4,y5,y6)
\tkzDrawPoints(x1,x2,x3,x4,x5,x6,L)
@@ -3865,34 +3901,6 @@ L.y2y3 = line : new (z.y2,z.y3)
\subsection{Inversion} % (fold)
\label{sub:inversion}
-\begin{tkzexample}[latex=0cm,small,code only]
- \begin{tkzelements}
- z.A = point: new (-1,0)
- z.B = point: new (2,2)
- z.C = point: new (2,4)
- z.E = point: new (1,6)
- C.AC = circle: new (z.A,z.C)
- L.Tt1,L.Tt2 = C.AC: tangent_from (z.E)
- z.t1 = L.Tt1.pb
- z.t2 = L.Tt2.pb
- L.AE = line: new (z.A,z.E)
- z.H = L.AE : projection (z.t1)
- z.Bp,
- z.Ep,
- z.Cp = C.AC: inversion ( z.B, z.E, z.C )
-\end{tkzelements}
-
-\begin{tikzpicture}
- \tkzGetNodes
- \tkzDrawPoints(A,B,C)
- \tkzDrawCircles(A,C A,B)
- \tkzDrawLines(A,B' E,t1 E,t2 t1,t2 A,E)
- \tkzDrawPoints(A,B,C,E,t1,t2,H,B',E')
- \tkzLabelPoints(A,B,C,E,t1,t2,B',E')
- \tkzLabelPoints[above](C')
-\end{tikzpicture}
-\end{tkzexample}
-
\begin{tkzelements}
scale = .75
z.A = point: new (-1,0)
@@ -3910,7 +3918,26 @@ z.Ep,
z.Cp = C.AC: inversion ( z.B, z.E, z.C )
\end{tkzelements}
-\hspace*{\fill}
+
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+ \begin{tkzelements}
+ z.A = point: new (-1,0)
+ z.B = point: new (2,2)
+ z.C = point: new (2,4)
+ z.E = point: new (1,6)
+ C.AC = circle: new (z.A,z.C)
+ L.Tt1,
+ L.Tt2 = C.AC: tangent_from (z.E)
+ z.t1 = L.Tt1.pb
+ z.t2 = L.Tt2.pb
+ L.AE = line: new (z.A,z.E)
+ z.H = L.AE : projection (z.t1)
+ z.Bp,
+ z.Ep,
+ z.Cp = C.AC: inversion ( z.B, z.E, z.C )
+\end{tkzelements}
+
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawPoints(A,B,C)
@@ -3920,14 +3947,26 @@ z.Cp = C.AC: inversion ( z.B, z.E, z.C )
\tkzLabelPoints(A,B,C,E,t1,t2,B',E')
\tkzLabelPoints[above](C')
\end{tikzpicture}
-\hspace*{\fill}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \begin{tikzpicture}[scale=.75]
+ \tkzGetNodes
+ \tkzDrawPoints(A,B,C)
+ \tkzDrawCircles(A,C A,B)
+ \tkzDrawLines(A,B' E,t1 E,t2 t1,t2 A,E)
+ \tkzDrawPoints(A,B,C,E,t1,t2,H,B',E')
+ \tkzLabelPoints(A,B,C,E,t1,t2,B',E')
+ \tkzLabelPoints[above](C')
+ \end{tikzpicture}
+\end{minipage}
% subsection inversion (end)
\subsection{Gergonne point} % (fold)
\label{sub:gergonne_point}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.a = point: new(1,0)
z.b = point: new(6,2)
@@ -3945,7 +3984,7 @@ z.ta,z.tb,z.tc = get_points (T : intouch ())
\tkzDrawSegments (a,ta b,tb c,tc)
\tkzDrawCircle(i,ta)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}[t]{.5\textwidth}\vspace{0pt}%
\begin{tkzelements}
@@ -3975,7 +4014,7 @@ z.ta,z.tb,z.tc = get_points (T : intouch ())
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.a = point: new (0,0)
z.b = point: new (5,0)
@@ -3999,7 +4038,7 @@ z.ta,z.tb,z.tc = get_points (T : intouch ())
\tkzDrawSegments(x_0,x_1 y_0,y_1 z_0,z_1)
\tkzDrawCircle(L,x_0)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -4032,7 +4071,7 @@ z.z_0,z.z_1 = get_points (L.anti)
\subsection{Soddy circle without function} % (fold)
\label{sub:soddy}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 5 , 0 )
@@ -4077,7 +4116,7 @@ z.Xip,z.Yip,z.Zip = C.ins : inversion (z.Xi,z.Yi,z.Zi)
\tkzDrawLines(X',Ha Y',Hb Z',Hc)
\tkzDrawLines(X',E Y',F Z',G)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
@@ -4128,7 +4167,6 @@ z.Xip,z.Yip,z.Zip = C.ins : inversion (z.Xi,z.Yi,z.Zi)
\subsection{Soddy circle with function} % (fold)
\label{sub:soddy_circle_with_function}
-\begin{verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 5 , 0 )
@@ -4145,9 +4183,33 @@ C.soddy_ext = C.ins : inversion (C.soddy_int)
z.w = C.soddy_ext.center
z.t = C.soddy_ext.through
z.Xip,z.Yip,z.Zip = C.ins : inversion (z.xi,z.yi,z.zi)
- \end{tkzelements}
+\end{tkzelements}
-\begin{tikzpicture}
+\begin{minipage}{.5\textwidth}
+ \begin{Verbatim}
+ \begin{tkzelements}
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 5 , 0 )
+ z.C = point : new (4 , 4 )
+ T.ABC = triangle : new ( z.A,z.B,z.C )
+ z.I = T.ABC.incenter
+ z.E,z.F,z.G = T.ABC : projection (z.I)
+ T.orthic = T.ABC : orthic ()
+ z.Ha,z.Hb,z.Hc = get_points (T.orthic)
+ C.ins = circle : new (z.I,z.E)
+ z.s,z.xi,z.yi,
+ z.zi = T.ABC : soddy_center ()
+ C.soddy_int = circle : new (z.s,z.xi)
+ C.soddy_ext = C.ins : inversion (C.soddy_int)
+ z.w = C.soddy_ext.center
+ z.t = C.soddy_ext.through
+ z.Xip,z.Yip,
+ z.Zip = C.ins : inversion (z.xi,z.yi,z.zi)
+ \end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tikzpicture}[scale=.6]
\tkzGetNodes
\tkzDrawPolygon(A,B,C)
\tkzDrawCircles(A,G B,E C,F I,E s,xi w,t)
@@ -4156,28 +4218,10 @@ z.Xip,z.Yip,z.Zip = C.ins : inversion (z.xi,z.yi,z.zi)
\tkzDrawPoints(A,B,C,E,F,G,Ha,Hb,Hc,xi,yi,zi,I)
\tkzDrawPoints(Xi',Yi',Zi')
\tkzLabelPoints(A,B,C,E,F,G)
-\tkzDrawCircles(A,G B,E C,F I,E w,s)
\end{tikzpicture}
-\end{verbatim}
-
-\begin{tkzelements}
-z.A = point : new ( 0 , 0 )
-z.B = point : new ( 5 , 0 )
-z.C = point : new (4 , 4 )
-T.ABC = triangle : new ( z.A,z.B,z.C )
-z.I = T.ABC.incenter
-z.E,z.F,z.G = T.ABC : projection (z.I)
-T.orthic = T.ABC : orthic ()
-z.Ha,z.Hb,z.Hc = get_points (T.orthic)
-C.ins = circle : new (z.I,z.E)
-z.s,z.xi,z.yi,z.zi = T.ABC : soddy_center ()
-C.soddy_int = circle : new (z.s,z.xi)
-C.soddy_ext = C.ins : inversion (C.soddy_int)
-z.w = C.soddy_ext.center
-z.t = C.soddy_ext.through
-z.Xip,z.Yip,z.Zip = C.ins : inversion (z.xi,z.yi,z.zi)
- \end{tkzelements}
+\end{minipage}
+\begin{Verbatim}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawPolygon(A,B,C)
@@ -4187,8 +4231,9 @@ z.Xip,z.Yip,z.Zip = C.ins : inversion (z.xi,z.yi,z.zi)
\tkzDrawPoints(A,B,C,E,F,G,Ha,Hb,Hc,xi,yi,zi,I)
\tkzDrawPoints(Xi',Yi',Zi')
\tkzLabelPoints(A,B,C,E,F,G)
-\tkzDrawCircles(A,G B,E C,F I,E w,s)
\end{tikzpicture}
+\end{Verbatim}
+
% subsection soddy_circle_with_function (end)
@@ -4244,8 +4289,8 @@ Les cercles de centre $J_i$ et de diamètre $S_iT_i$ ont pour images les cercles
\tkzLabelPoint(H'){$H'_\i$}}
\end{tikzpicture}
-\begin{verbatim}
\begin{tkzelements}
+ scale =.75
xC,nc = 10,16
xB = xC/tkzphi
xD = (xC*xC)/xB
@@ -4273,49 +4318,39 @@ Les cercles de centre $J_i$ et de diamètre $S_iT_i$ ont pour images les cercles
end
\end{tkzelements}
-\def\nc{\tkzUseLua{nc}}
-
-\begin{tikzpicture}[ultra thin]
- \tkzGetNodes
- \tkzDrawCircle[fill=teal!20](i,C)
- \tkzDrawCircle[fill=PineGreen!60](j,B)
- \foreach \i in {-\nc,...,0,...,\nc} {
- \tkzDrawCircle[fill=teal]({I\i},{S\i'})
- }
-\end{tikzpicture}
-
-\end{verbatim}
-
+\begin{Verbatim}
\begin{tkzelements}
- xC,nc = 10,16
- xB = xC/tkzphi
- xD = (xC*xC)/xB
- xJ = (xC+xD)/2
- r = xD-xJ
- z.A = point : new ( 0 , 0 )
- z.B = point : new ( xB , 0)
- z.C = point : new ( xC , 0)
- L.AC = line : new (z.A,z.C)
- z.i = L.AC.mid
- L.AB = line:new (z.A,z.B)
- z.j = L.AB.mid
- z.D = point : new ( xD , 0)
- C.AC = circle: new (z.A,z.C)
- for i = -nc,nc do
- z["J"..i] = point: new (xJ,2*r*i)
- z["H"..i] = point: new (xJ,2*r*i-r)
- z["J"..i.."p"], z["H"..i.."p"] = C.AC : inversion (z["J"..i],z["H"..i])
- L.AJ = line : new (z.A,z["J"..i])
- C.JH = circle: new ( z["J"..i] , z["H"..i])
- z["S"..i], z["T"..i] = intersection (L.AJ,C.JH)
- z["S"..i.."p"], z["T"..i.."p"] = C.AC : inversion (z["S"..i],z["T"..i])
- L.SpTp = line:new ( z["S"..i.."p"], z["T"..i.."p"])
- z["I"..i] = L.SpTp.mid
- end
+ xC,nc = 10,16
+ xB = xC/tkzphi
+ xD = (xC*xC)/xB
+ xJ = (xC+xD)/2
+ r = xD-xJ
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( xB , 0)
+ z.C = point : new ( xC , 0)
+ L.AC = line : new (z.A,z.C)
+ z.i = L.AC.mid
+ L.AB = line:new (z.A,z.B)
+ z.j = L.AB.mid
+ z.D = point : new ( xD , 0)
+ C.AC = circle: new (z.A,z.C)
+ for i = -nc,nc do
+ z["J"..i] = point: new (xJ,2*r*i)
+ z["H"..i] = point: new (xJ,2*r*i-r)
+ z["J"..i.."p"], z["H"..i.."p"] = C.AC : inversion (z["J"..i],z["H"..i])
+ L.AJ = line : new (z.A,z["J"..i])
+ C.JH = circle: new ( z["J"..i] , z["H"..i])
+ z["S"..i], z["T"..i] = intersection (L.AJ,C.JH)
+ z["S"..i.."p"], z["T"..i.."p"] = C.AC : inversion (z["S"..i],z["T"..i])
+ L.SpTp = line:new ( z["S"..i.."p"], z["T"..i.."p"])
+ z["I"..i] = L.SpTp.mid
+ end
\end{tkzelements}
+\end{Verbatim}
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
\def\nc{\tkzUseLua{nc}}
-
\begin{tikzpicture}[ultra thin]
\tkzGetNodes
\tkzDrawCircle[fill=teal!20](i,C)
@@ -4324,14 +4359,26 @@ Les cercles de centre $J_i$ et de diamètre $S_iT_i$ ont pour images les cercles
\tkzDrawCircle[fill=teal]({I\i},{S\i'})
}
\end{tikzpicture}
-
-
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+ \def\nc{\tkzUseLua{nc}}
+
+ \begin{tikzpicture}[ultra thin]
+ \tkzGetNodes
+ \tkzDrawCircle[fill=teal!20](i,C)
+ \tkzDrawCircle[fill=PineGreen!60](j,B)
+ \foreach \i in {-\nc,...,0,...,\nc} {
+ \tkzDrawCircle[fill=teal]({I\i},{S\i'})
+ }
+ \end{tikzpicture}
+ \vfill
+\end{minipage}
% subsubsection pappus_chain (end)
\subsection{Three Circles} % (fold)
\label{sub:three_circles}
-\begin{verbatim}
\begin{tkzelements}
function threecircles(c1,r1,c2,r2,c3,h1,h3,h2)
local xk = math.sqrt (r1*r2)
@@ -4348,15 +4395,8 @@ end
threecircles("A",4,"B",3,"C","E","G","F")
\end{tkzelements}
-\begin{tikzpicture}
-\tkzGetNodes
-\tkzDrawSegment[color = red](E,F)
-\tkzDrawCircle[orange,fill=orange!20](A,E)
-\tkzDrawCircle[purple,fill=purple!20](B,F)
-\tkzDrawCircle[teal,fill=teal!20](C,G)
-\end{tikzpicture}
-\end{verbatim}
-
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
\begin{tkzelements}
function threecircles(c1,r1,c2,r2,c3,h1,h3,h2)
local xk = math.sqrt (r1*r2)
@@ -4374,19 +4414,28 @@ end
\end{tkzelements}
\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawSegment[color = red](E,F)
+ \tkzDrawCircle[orange,fill=orange!20](A,E)
+ \tkzDrawCircle[purple,fill=purple!20](B,F)
+ \tkzDrawCircle[teal,fill=teal!20](C,G)
+\end{tikzpicture}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tikzpicture}[scale=.5]
\tkzGetNodes
\tkzDrawSegment[color = red](E,F)
\tkzDrawCircle[orange,fill=orange!20](A,E)
\tkzDrawCircle[purple,fill=purple!20](B,F)
\tkzDrawCircle[teal,fill=teal!20](C,G)
\end{tikzpicture}
-
+\end{minipage}
% subsection three_circles (end)
\subsection{pentagons in a golden arbelos} % (fold)
\label{sub:golden_arbelos}
-\begin{verbatim}
\begin{tkzelements}
z.A = point: new (0 , 0)
z.B = point: new (10 , 0)
@@ -4407,7 +4456,7 @@ z.L = T.golden.pc
L.O0L = line:new(z.O_0,z.L)
z.D = intersection (L.O0L,C.O0B)
L.DB = line:new(z.D,z.B)
-z.Z = intersection (L.DB,C.O2B)
+_,z.Z = intersection (L.DB,C.O2B)
L.DA = line:new(z.D,z.A)
z.I = intersection (L.DA,C.O1C)
L.O2Z = line:new(z.O_2,z.Z)
@@ -4423,10 +4472,49 @@ kk = tkzphi
z.D_1,z.E_1,z.F_1,z.G_1 = z.B : homothety (k, z.D,z.E,z.F,z.G)
z.D_2,z.E_2,z.F_2,z.G_2 = z.M_0 : homothety (kk,z.D_1,z.E_1,z.F_1,z.G_1)
\end{tkzelements}
-\end{verbatim}
-\begin{verbatim}
-\begin{tikzpicture}[scale=.8]
+\begin{minipage}{.5\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ z.A = point: new (0 , 0)
+ z.B = point: new (10 , 0)
+ L.AB = line: new ( z.A, z.B)
+ z.C = L.AB : gold_ratio ()
+ L.AC = line: new ( z.A, z.C)
+ L.CB = line: new ( z.C, z.B)
+ z.O_0 = L.AB.mid
+ z.O_1 = L.AC.mid
+ z.O_2 = L.CB.mid
+ C.O0B = circle: new ( z.O_0, z.B)
+ C.O1C = circle: new ( z.O_1, z.C)
+ C.O2B = circle: new ( z.O_2, z.B)
+ z.M_0 = C.O1C : external_similitude (C.O2B)
+ L.O0C = line:new(z.O_0,z.C)
+ T.golden = L.O0C : golden ()
+ z.L = T.golden.pc
+ L.O0L = line:new(z.O_0,z.L)
+ z.D = intersection (L.O0L,C.O0B)
+ L.DB = line:new(z.D,z.B)
+ z.Z = intersection (L.DB,C.O2B)
+ L.DA = line:new(z.D,z.A)
+ z.I = intersection (L.DA,C.O1C)
+ L.O2Z = line:new(z.O_2,z.Z)
+ z.H = intersection (L.O2Z,C.O0B)
+ C.BD = circle:new (z.B,z.D)
+ C.DB = circle:new (z.D,z.B)
+ _,z.G = intersection (C.BD,C.O0B)
+ z.E = intersection (C.DB,C.O0B)
+ C.GB = circle:new (z.G,z.B)
+ _,z.F = intersection (C.GB,C.O0B)
+ k = 1/tkzphi^2
+ kk = tkzphi
+ z.D_1,z.E_1,z.F_1,z.G_1 = z.B : homothety (k, z.D,z.E,z.F,z.G)
+ z.D_2,z.E_2,z.F_2,z.G_2 = z.M_0 : homothety (kk,z.D_1,z.E_1,z.F_1,z.G_1)
+\end{tkzelements}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tikzpicture}[scale=.7]
\tkzGetNodes
\tkzDrawPolygon[red](O_2,O_0,I,D,H)
\tkzDrawPolygon[blue](B,D_1,E_1,F_1,G_1)
@@ -4451,46 +4539,9 @@ z.D_2,z.E_2,z.F_2,z.G_2 = z.M_0 : homothety (kk,z.D_1,z.E_1,z.F_1,z.G_1)
\tkzLabelPoints(D_1,G_1)
\tkzLabelPoints(D_2,G_2)
\end{tikzpicture}
-\vspace{\fill}
-\end{verbatim}
+\end{minipage}
-\begin{tkzelements}
-z.A = point: new (0 , 0)
-z.B = point: new (10 , 0)
-L.AB = line: new ( z.A, z.B)
-z.C = L.AB : gold_ratio ()
-L.AC = line: new ( z.A, z.C)
-L.CB = line: new ( z.C, z.B)
-z.O_0 = L.AB.mid
-z.O_1 = L.AC.mid
-z.O_2 = L.CB.mid
-C.O0B = circle: new ( z.O_0, z.B)
-C.O1C = circle: new ( z.O_1, z.C)
-C.O2B = circle: new ( z.O_2, z.B)
-z.M_0 = C.O1C : external_similitude (C.O2B)
-L.O0C = line:new(z.O_0,z.C)
-T.golden = L.O0C : golden ()
-z.L = T.golden.pc
-L.O0L = line:new(z.O_0,z.L)
-z.D = intersection (L.O0L,C.O0B)
-L.DB = line:new(z.D,z.B)
-_,z.Z = intersection (L.DB,C.O2B)
-L.DA = line:new(z.D,z.A)
-z.I = intersection (L.DA,C.O1C)
-L.O2Z = line:new(z.O_2,z.Z)
-_,z.H = intersection (L.O2Z,C.O0B)
-C.BD = circle:new (z.B,z.D)
-C.DB = circle:new (z.D,z.B)
-_,z.G = intersection (C.BD,C.O0B)
-z.E = intersection (C.DB,C.O0B)
-C.GB = circle:new (z.G,z.B)
-_,z.F = intersection (C.GB,C.O0B)
-k = 1/tkzphi^2
-kk = tkzphi
-z.D_1,z.E_1,z.F_1,z.G_1 = z.B : homothety (k, z.D,z.E,z.F,z.G)
-z.D_2,z.E_2,z.F_2,z.G_2 = z.M_0 : homothety (kk,z.D_1,z.E_1,z.F_1,z.G_1)
-\end{tkzelements}
-\vspace{\fill}
+\begin{Verbatim}
\begin{tikzpicture}[scale=.8]
\tkzGetNodes
\tkzDrawPolygon[red](O_2,O_0,I,D,H)
@@ -4516,5 +4567,8 @@ z.D_2,z.E_2,z.F_2,z.G_2 = z.M_0 : homothety (kk,z.D_1,z.E_1,z.F_1,z.G_1)
\tkzLabelPoints(D_1,G_1)
\tkzLabelPoints(D_2,G_2)
\end{tikzpicture}
-\vspace{\fill}
+\end{Verbatim}
+
+
+
% subsection golden_arbelos (end) \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-indepthstudy.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-indepthstudy.tex
index 3bfc5fc4ea..6f58cbec5c 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-indepthstudy.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-indepthstudy.tex
@@ -14,8 +14,9 @@ Tables are the only data structure "container" integrated in Lua.
Tables are created using table constructors, the simplest of which is the use of braces, e.g. \{ \}. This defines an empty table.
\begin{mybox}
- \begin{verbatim}
- F = {"banana", "apple", "cherry"}\end{verbatim}
+\begin{Verbatim}
+ F = {"banana", "apple", "cherry"}
+\end{Verbatim}
\end{mybox}
@@ -25,8 +26,9 @@ print(F[2]) --> pomme
qui peut être également définit par
\begin{mybox}
- \begin{verbatim}
- FR = {[1] = "banana", [3] = "cherry", [2] = "apple"}\end{verbatim}
+\begin{Verbatim}
+ FR = {[1] = "banana", [3] = "cherry", [2] = "apple"}
+\end{Verbatim}
\end{mybox}
@@ -35,12 +37,13 @@ print(FR[3]) --> cherry
FR[4]="orange"
\begin{mybox}
- \begin{verbatim}
- print(#FR)
- -- I for Index
- for I,V in ipairs(FR) do
- print(I,V)
- end \end{verbatim}
+\begin{Verbatim}
+ print(#FR)
+ -- I for Index
+ for I,V in ipairs(FR) do
+ print(I,V)
+ end
+\end{Verbatim}
\end{mybox}
1 banana\\
@@ -49,16 +52,18 @@ FR[4]="orange"
4 orange\\
\begin{mybox}
-\begin{verbatim}
+\begin{Verbatim}
C = {["banana"] = "yellow" , ["apple"] = "green" , ["cherry"] = "red" }
-C.orange = "orange"\end{verbatim}
+C.orange = "orange"
+\end{Verbatim}
\end{mybox}
\begin{mybox}
-\begin{verbatim}
+\begin{Verbatim}
for K,V in pairs (C) do
print(K,V)
- end\end{verbatim}
+ end
+\end{Verbatim}
\end{mybox}
banana = yellow
@@ -70,21 +75,23 @@ apple = green
Another useful feature is the ability to create a table to store an unknown number of function parameters, for example:
\begin{mybox}
-\begin{verbatim}
- function ReturnTable (...)
+\begin{Verbatim}
+ function ReturnTable (...)
return table.pack (...)
- end \end{verbatim}
+ end
+\end{Verbatim}
\end{mybox}
\begin{mybox}
- \begin{verbatim}
- function ParamToTable (...)
- mytab = ReturnTable(...)
- for i=1,mytab.n do
- print(mytab[i])
- end
+\begin{Verbatim}
+ function ParamToTable (...)
+ mytab = ReturnTable(...)
+ for i=1,mytab.n do
+ print(mytab[i])
end
- ParamToTable("cherry","apple","orange") \end{verbatim}
+ end
+ ParamToTable("cherry","apple","orange")
+\end{Verbatim}
\end{mybox}
@@ -98,8 +105,9 @@ C.banana but this syntax does not accept numbers.
It's possible to erase a key/value pair from a table, with :
\begin{mybox}
-\begin{verbatim}
-C.banana = nil \end{verbatim}
+\begin{Verbatim}
+ C.banana = nil
+\end{Verbatim}
\end{mybox}
% subsubsection general_tables (end)
@@ -122,15 +130,15 @@ For example, if you wish to display an element, then |tex.print(tostring(z.name)
In addition, we'll see that it's possible to perform operations with the elements of the |z| table.
% subsubsection table_z (end)
-\subsection{Transferts} % (fold)
-\label{sub:transferts}
+\subsection{Transfers} % (fold)
+\label{sub:transfers}
We've seen (sous-section \ref{ssub:points_transfer}) that the macro \Imacro{tkzGetNodes} transfers point coordinates to \TIKZ. Let's take a closer look at this macro:
\vspace*{1em}
\begin{mybox}
-\begin{verbatim}
+\begin{Verbatim}
\def\tkzGetNodes{\directlua{%
for K,V in pairs(z) do
local K,n,sd,ft
@@ -141,11 +149,12 @@ We've seen (sous-section \ref{ssub:points_transfer}) that the macro \Imacro{tkzG
end
tex.print("\\coordinate ("..K..") at ("..V.re..","..V.im..") ;\\\\")
end}
-}\end{verbatim}
+}
+\end{Verbatim}
\end{mybox}
It consists mainly of a loop. The variables used are K (for keys) and V (for Values). To take pairs (key/value) from the |z| table, use the |pairs| function. K becomes the name of a node whose coordinates are |V.re| and |V.im|. Meanwhile, we search for keys with more than one symbol ending in |p|, in order to associate them with the symbol "'" valid in \TIKZ{}.
-% subsection transferts (end)
+% subsection transfers (end)
\subsection{Complex numbers library and point} % (fold)
\label{sub:complex_numbers}
@@ -167,21 +176,21 @@ The difference between |z.A = point : new (1,2)| and |za = point (1,2)| is that
\small
\begin{minipage}{\textwidth}
-\captionof{table}{Point or complex metamethods.}
+\captionof{table}{Point or complex metamethods.}\label{complex:meta}
\begin{tabular}{lll}
\toprule
\textbf{Metamethods} & \textbf{Application} \\
\midrule
-\_\_add(z1,z2) & |z.a + z.b| & affix \\
-\_\_sub(z1,z2) & |z.a - z.b| & affix\\
-\_\_unm(z) & |- z.a| & affix\\
-\_\_mul(z1,z2) & |z.a * z.b| & affix\\
-\_\_concat(z1,z2)& |z.a .. z.b| & dot product = real number \footnote{If $O$ is the origin of the complex plan, then we get the dot product of the vectors $\overrightarrow{Oa}$ and $\overrightarrow{Ob}$} \\
-\_\_pow(z1,z2) & |z.a ^ z.b| & determinant = real number\\
-\_\_div(z1,z2) & |z.a / z.b| & affix \\
-\_\_tostring(z) & tex.print(tostring(z)) & displays the affix \\
-\_\_tonumber(z) & tonumber(z) & affix or nil\\
-\_\_eq(z1,z2) & eq (z.a,z.b) & boolean\\
+\_\_\Immeth{point}{add(z1,z2)} & |z.a + z.b| & affix \\
+\_\_\Immeth{point}{sub(z1,z2)} & |z.a - z.b| & affix\\
+\_\_\Immeth{point}{unm(z)} & |- z.a| & affix\\
+\_\_\Immeth{point}{mul(z1,z2)} & |z.a * z.b| & affix\\
+\_\_\Immeth{point}{concat(z1,z2)}& |z.a .. z.b| & dot product = real number \footnote{If $O$ is the origin of the complex plan, then we get the dot product of the vectors $\overrightarrow{Oa}$ and $\overrightarrow{Ob}$} \\
+\_\_\Immeth{point}{pow(z1,z2)} & |z.a ^ z.b| & determinant = real number\\
+\_\_\Immeth{point}{div(z1,z2)} & |z.a / z.b| & affix \\
+\_\_\Immeth{point}{tostring(z)} & tex.print(tostring(z)) & displays the affix \\
+\_\_\Immeth{point}{tonumber(z)} & tonumber(z) & affix or nil\\
+\_\_\Immeth{point}{eq(z1,z2)} & eq (z.a,z.b) & boolean\\
\bottomrule
\end{tabular}
\end{minipage}
@@ -191,7 +200,7 @@ The difference between |z.A = point : new (1,2)| and |za = point (1,2)| is that
\catcode`_=12
\small
\begin{minipage}{\textwidth}
-\captionof{table}{Point (complex) class methods.}
+\captionof{table}{Point (complex) class methods.}\label{complex:met}
\begin{tabular}{lll}
\toprule
\textbf{Methods} & \textbf{Application}\\
@@ -200,9 +209,9 @@ The difference between |z.A = point : new (1,2)| and |za = point (1,2)| is that
\Imeth{point}{mod(z)} & |z.a : mod()| & real number = modulus |z.a|\\
\Imeth{point}{abs (z)} & |z.a : abs()| & real number = modulus \\
\Imeth{point}{norm (z)} & |z.a : norm()| & norm (real number ) \\
-\Imeth{point}{arg (z)}. & |z.a : arg()| & real number = argument of z.a (in rad)\\
+\Imeth{point}{arg (z)} & |z.a : arg()| & real number = argument of z.a (in rad)\\
\Imeth{point}{get(z)} & |z.a : get()| & re and im (two real numbers ) \\
-\Imeth{point}{sqrt(z)}. & |z.a : sqrt()| & affix \\
+\Imeth{point}{sqrt(z)} & |z.a : sqrt()| & affix \\
\bottomrule
\end{tabular}
\end{minipage}
@@ -237,7 +246,7 @@ This is obtained from the library by writing
Then |z.B = z.A * za| describes a rotation of point A by an angle |a|.
\begin{minipage}{.6\textwidth}
- \begin{verbatim}
+ \begin{Verbatim}
\begin{tkzelements}
z.O = point : new (0,0)
z.A = point : new (1,2)
@@ -252,7 +261,7 @@ Then |z.B = z.A * za| describes a rotation of point A by an angle |a|.
\tkzDrawSegments[dashed](O,A O,B)
\tkzLabelAngle(A,O,B){$\pi/6$}
\end{tikzpicture}
- \end{verbatim}
+ \end{Verbatim}
\end{minipage}
\begin{minipage}{.6\textwidth}
\begin{tkzelements}
@@ -277,7 +286,7 @@ Then |z.B = z.A * za| describes a rotation of point A by an angle |a|.
\label{ssub:point_operations_complex}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.o = point: new(0,0)
z.a = point: new(1,-1)
@@ -303,7 +312,7 @@ Then |z.B = z.A * za| describes a rotation of point A by an angle |a|.
\tkzDrawPoints(a,...,g,o,a',b')
\tkzLabelPoints(o,a,b,c,d,e,f,g,a',b')
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -344,7 +353,7 @@ Then |z.B = z.A * za| describes a rotation of point A by an angle |a|.
|tp.n| gives the number of pairs. \\
|tp[i][1]| is an affix and |tp[i][2]| the associated weight (real value). 5se the example.
-\begin{verbatim}
+\begin{Verbatim}
function barycenter_ (...)
local tp = table.pack(...)
local i
@@ -356,7 +365,7 @@ Then |z.B = z.A * za| describes a rotation of point A by an angle |a|.
end
return sum/weight
end
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\vspace{1em}
@@ -364,7 +373,7 @@ Then |z.B = z.A * za| describes a rotation of point A by an angle |a|.
\label{ssub:using_the_barycentre}
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (1,0)
z.B = point: new (5,-1)
@@ -377,7 +386,7 @@ Then |z.B = z.A * za| describes a rotation of point A by an angle |a|.
\tkzDrawPolygon(A,B,C)
\tkzDrawPoints(A,B,C,G)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}\begin{tkzelements}
z.A = point: new (1,0)
@@ -400,13 +409,13 @@ The calculation of the weights ka, kb and kc is precise, and the result obtained
Here's how to determine the center of the inscribed circle of a triangle:
\begin{mybox}
- \begin{verbatim}
- function in_center_ ( a,b,c )
- local ka = point.abs (b-c)
- local kc = point.abs (b-a)
- local kb = point.abs (c-a)
- return barycenter_ ( {a,ka} , {b,kb} , {c,kc} )
- end \end{verbatim}
+\begin{Verbatim}
+ function in_center_ ( a,b,c )
+ local ka = point.abs (b-c)
+ local kc = point.abs (b-a)
+ local kb = point.abs (c-a)
+ return barycenter_ ( {a,ka} , {b,kb} , {c,kc} )
+ end \end{Verbatim}
\end{mybox}
% subsubsection incenter_of_a_triangle (end)
@@ -417,7 +426,7 @@ Here's how to determine the center of the inscribed circle of a triangle:
The problem encountered in this example stems from the notation of the point names. Since it's not possible to write in simplified form, we have to resort to table[key] notation.
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
local r = 3
z.O = point : new (0,0)
@@ -428,7 +437,7 @@ The problem encountered in this example stems from the notation of the point nam
end
a = math.deg(get_angle (z.O,z.A_1,z.A_2))
\end{tkzelements}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -473,24 +482,25 @@ This function can be used for the following objects
\label{ssub:in_out_for_a_line}
\begin{mybox}
- \begin{verbatim}
- function line: in_out (pt)
- local sc,epsilon
- epsilon = 10^(-12)
- sc = math.abs ((pt-self.pa)^(pt-self.pb))
- if sc <= epsilon
- then
- return true
- else
- return false
- end
- end \end{verbatim}
+\begin{Verbatim}
+ function line: in_out (pt)
+ local sc,epsilon
+ epsilon = 10^(-12)
+ sc = math.abs ((pt-self.pa)^(pt-self.pb))
+ if sc <= epsilon
+ then
+ return true
+ else
+ return false
+ end
+ end
+\end{Verbatim}
\end{mybox}
The \tkzNamePack{ifthen} package is required for the code below.
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point: new (0,0)
z.B = point: new (1,2)
@@ -518,7 +528,7 @@ if L.AB : in_out (z.X)
\ifthenelse{\equal{\tkzUseLua{inline_bis}}{false}}{%
\tkzDrawSegment[green](B,Y)}{}
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{.5\textwidth}
\begin{tkzelements}
@@ -565,14 +575,14 @@ We've just seen how to use |^| to obtain the determinant associated with two vec
Here's the definition and transformation of the power of a complex number.
-\begin{verbatim}
+\begin{Verbatim}
-- determinant is '^' ad - bc
function point.__pow(z1,z2)
local z
z = point.conj(z1) * z2 -- (a-ib) (c+id) = ac+bd + i(ad - bc)
return z.im
end
-\end{verbatim}
+\end{Verbatim}
% subsubsection determinant (end)
@@ -581,14 +591,14 @@ Here's the definition and transformation of the power of a complex number.
Here's the definition of the dot product between two affixes and the concatenation transformation.
-\begin{verbatim}
+\begin{Verbatim}
-- dot product is '..' result ac + bd
function point.__concat(z1,z2)
local z
z = z1 * point.conj(z2) -- (a+ib) (c-id) = ac+bd + i(bc-ad)
return z.re
end
-\end{verbatim}
+\end{Verbatim}
% subsubsection scalar_product (end)
@@ -598,7 +608,7 @@ end
Here's a function \Imeth{math}{isortho} to test orthogonality between two vectors.
-\begin{verbatim}
+\begin{Verbatim}
function isortho (z1,z2,z3)
local epsilon
local dp
@@ -611,7 +621,7 @@ function isortho (z1,z2,z3)
return false
end
end
-\end{verbatim}
+\end{Verbatim}
% subsubsection scalar_product_orthogonality_test (end)
@@ -620,7 +630,7 @@ end
The projection of a point onto a straight line is a fundamental function, and its definition is as follows:
-\begin{verbatim}
+\begin{Verbatim}
function projection_ ( pa,pb,pt )
local v
local z
@@ -632,7 +642,7 @@ function projection_ ( pa,pb,pt )
return pa + z * v
end
end
-\end{verbatim}
+\end{Verbatim}
The function \Imeth{math}{aligned} is equivalent to \Imeth{math}{islinear} but does not use a determinant. It will be replaced in a future version.
@@ -653,7 +663,7 @@ The point method is a method for many objects:
You obtain a point on the object by entering a real number between 0 and 1.
\begin{minipage}{.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new ( 0 , 0 )
z.B = point : new ( 4 , 2 )
@@ -672,7 +682,7 @@ You obtain a point on the object by entering a real number between 0 and 1.
\tkzDrawPolygon(A,B,C)
\tkzDrawPoints(A,B,C,I,J,K)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\hspace{\fill}
\begin{minipage}{.5\textwidth}
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-intersection.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-intersection.tex
index 245bca5e66..cc842aba53 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-intersection.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-intersection.tex
@@ -11,7 +11,7 @@ Results consist of one or two values, either points, boolean \tkzname{false} or
The result is of the form: |point| or |false|.
\begin{minipage}{0.6\textwidth}
-\begin{tkzexample}[small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new (1,-1)
z.B = point : new (4,1)
@@ -34,7 +34,7 @@ The result is of the form: |point| or |false|.
\tkzDrawPoints(A,B,C,D,I)
\tkzLabelPoints(A,B,C,D,I)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.4\textwidth}
\begin{tkzelements}
@@ -70,7 +70,7 @@ Other examples: \ref{ssub:altshiller}, \ref{ssub:lemoine}, \ref{sub:alternate}
The result is of the form : |point,point| or |false,false|. If the line is tangent to the circle, then the two points are identical. You can ignore one of the points by using the underscore: |_,point| or |point,_|. When the intersection yields two solutions, the order of the points is determined by the argument of |(z.p - z.c)| with |c| center of the circle and |p| point of intersection. The first solution corresponds to the smallest argument (arguments are between 0 and $2\pi$).
\begin{minipage}{0.6\textwidth}
-\begin{tkzexample}[small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new (1,-1)
z.B = point : new (1,2)
@@ -91,7 +91,7 @@ The result is of the form : |point,point| or |false,false|. If the line is tange
\tkzDrawPoints(A,B,O,D,I,K)
\tkzLabelPoints[left](A,B,O,D,I,K)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.4\textwidth}
\begin{tkzelements}
@@ -127,7 +127,7 @@ Other examples: \ref{ssub:altshiller}
The result is of the form : |point,point| or |false,false|. If the circles are tangent, then the two points are identical. You can ignore one of the points by using the underscore: |_ , point| or |point , _|. As for the intersection of a line and a circle, consider the argument of |z.p-z.c| with |c| center of the first circle and |p| point of intersection. The first solution corresponds to the smallest argument (arguments are between 0 and $2\pi$).
\begin{minipage}{0.5\textwidth}
-\begin{tkzexample}[small,code only]
+\begin{Verbatim}
\begin{tkzelements}
z.A = point : new (1,1)
z.B = point : new (2,2)
@@ -145,7 +145,7 @@ The result is of the form : |point,point| or |false,false|. If the circles are
\tkzDrawPoints(A,I,C,D,J,K)
\tkzLabelPoints(A,I,C,D,J,K)
\end{tikzpicture}
-\end{tkzexample}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{tkzelements}
@@ -179,7 +179,7 @@ The designation of intersection points is a little more complicated than the pre
\vspace{1em}
\begin{minipage}{0.5\textwidth}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .5
z.a = point: new (5 , 2)
@@ -207,7 +207,7 @@ The designation of intersection points is a little more complicated than the pre
\tkzFillAngles[green!30,opacity=.4](e,c,v)
\tkzFillAngles[green!80,opacity=.4](e,c,u)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{tkzelements}
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-main.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-main.tex
index 95ce56dbc3..cd967f1af0 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-main.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-main.tex
@@ -1,6 +1,6 @@
% !TEX TS-program = lualatex
% encoding : utf8
-% Documentation of tkz-elements v2.00c
+% Documentation of tkz-elements v2.20c
% Copyright 2023 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
@@ -21,10 +21,10 @@
headings = small
]{tkz-doc}
\gdef\tkznameofpack{tkz-elements}
-\gdef\tkzversionofpack{2.00c}
+\gdef\tkzversionofpack{2.20c}
\gdef\tkzdateofpack{\today}
\gdef\tkznameofdoc{tkz-elements.pdf}
-\gdef\tkzversionofdoc{2.00c}
+\gdef\tkzversionofdoc{2.20c}
\gdef\tkzdateofdoc{\today}
\gdef\tkzauthorofpack{Alain Matthes}
\gdef\tkzadressofauthor{}
@@ -62,7 +62,7 @@
pdftitle={\tkznameofpack},
pdfcreator={\tkzengine}
}
-\usepackage{tkzexample}
+
\usepackage{fontspec}
\setmainfont{texgyrepagella}[
Extension = .otf,
@@ -97,10 +97,10 @@
\usepackage[english]{babel}
\usepackage[normalem]{ulem}
\usepackage{multirow,multido,booktabs,cellspace}
-\usepackage{shortvrb,bookmark,enumitem}
+\usepackage{shortvrb,fancyvrb,bookmark,enumitem}
\usepackage{makeidx}
\usepackage[most]{tcolorbox}
-
+\def\code{\texttt}
\newtcolorbox{mybox}{
enhanced,
boxrule=0pt,frame hidden,
@@ -135,6 +135,7 @@ sharp corners
\renewcommand*{\IoptName}[2]{\texttt{#2}\index{#1_3@\texttt{#1: attribute(s)}!\texttt{#2}}}
\newcommand*{\Iattr}[2]{\texttt{#2}\index{#1_3@\texttt{#1: attribute}!\texttt{#2}}}
\newcommand*{\Imeth}[2]{\texttt{#2}\index{#1_3@\texttt{#1: method}!\texttt{#2}}}
+\newcommand*{\Immeth}[2]{\texttt{#2}\index{#1_3@\texttt{#1: metamethod}!\_\_\texttt{#2}}}
\newcommand*{\Igfct}[2]{\texttt{#2}\index{#1_3@\texttt{#1: function}!\texttt{#2}}}
\newcommand*{\Iclass}[1]{\texttt{#1}\index{Class !#1@\texttt{#1}}}
\newcommand*{\tkzNameObj}[1]{\tkzname{#1}\Iobj{#1}}
@@ -177,20 +178,22 @@ sharp corners
\clearpage
\defoffile{\lefthand\
- This document brings together some notes about \tkzname{\tkznameofpack}, the first version of a library written in lua, allowing to make all the necessary calculations to define the objects of a Euclidean geometry figure. You need to compile with Lua\LaTeX.\\ With \pkg{tkz-elements}, the definitions and calculations are only done with \pkg{lua}. \\ The main possibility of programmation proposed is oriented "object programming" with object classes like point, line, triangle, circle and ellipse. For the moment, once the calculations are done, it is \pkg{tkz-euclide} or \pkg{TikZ} which allows the drawings.\\
- I discovered Lua and object-oriented programming when I created this package, so it's highly probable that I've made a few mistakes. If you'd like to participate in the development of this package or give me advice on how to proceed, please contact me via my email. \\
-English is not my native language so there might be some errors.
+ This document compiles some notes about \tkzname{\tkznameofpack}, the initial version of a \code{Lua} library designed to perform all the necessary calculations for defining objects in Euclidean geometry figures. Your document must be compiled using Lua\LaTeX.\\
+ With \pkg{tkz-elements}, definitions and calculations are exclusively conducted using \pkg{Lua}. \\
+ The primary programming approach offered is oriented towards \code{object programming}, utilizing object classes such as point, line, triangle, circle, and ellipse. Currently, after the calculations are completed, \pkg{tkz-euclide} or \pkg{TikZ} is used for drawing purposes.\\
+ I discovered Lua and object-oriented programming while developing this package, so it's highly likely that I've made a few mistakes. If you'd like to contribute to the development of this package or provide advice on how to proceed, please contact me via email. \\
+Please note: English is not my native language, so there may be some errors."
}
\presentation
\vspace*{1cm}
-\lefthand\ Acknowledgements : I received much valuable advice, remarks, corrections from \\ \tkzimp{Nicolas Kisselhoff}, \tkzimp{David Carlisle}, \tkzimp{Roberto Giacomelli} and \tkzimp{Qrrbrbirlbel}.\\
- Thanks to Wolfgang Büchel, for correcting the examples.
+\lefthand\ Acknowledgements : I received much valuable advices, remarks, corrections from \\ \tkzimp{Nicolas Kisselhoff}, \tkzimp{David Carlisle}, \tkzimp{Roberto Giacomelli} and \tkzimp{Qrrbrbirlbel}.\\
+Special thanks to \tkzimp{Wolfgang Büchel} for his invaluable contribution in correcting the examples.
\vspace*{12pt}
-\lefthand\ I would also like to thank \tkzimp{Eric Weisstein}, creator of
+\lefthand\ I would also like to extend my gratitude to \tkzimp{Eric Weisstein}, creator of
\href{http://mathworld.wolfram.com/about/author.html}{MathWorld}.
\vspace*{12pt}
@@ -204,6 +207,8 @@ This file can be redistributed and/or modified under the terms of the \LaTeX{}
Project Public License Distributed from \href{http://www.ctan.org/}{CTAN}\ archives.
\clearpage
+
+
\tableofcontents
\clearpage
@@ -213,7 +218,7 @@ Project Public License Distributed from \href{http://www.ctan.org/}{CTAN}\ arch
\input{TKZdoc-elements-presentation.tex}
\input{TKZdoc-elements-convention.tex}
\input{TKZdoc-elements-organization.tex}
-\input{TKZdoc-elements-transferts.tex}
+\input{TKZdoc-elements-transfers.tex}
\input{TKZdoc-elements-classes.tex}
\input{TKZdoc-elements-classes-point.tex}
\input{TKZdoc-elements-classes-line.tex}
@@ -226,6 +231,7 @@ Project Public License Distributed from \href{http://www.ctan.org/}{CTAN}\ arch
\input{TKZdoc-elements-classes-parallelogram.tex}
\input{TKZdoc-elements-classes-regular.tex}
\input{TKZdoc-elements-classes-vectors.tex}
+\input{TKZdoc-elements-classes-matrices.tex}
\input{TKZdoc-elements-classes-misc.tex}
\input{TKZdoc-elements-intersection.tex}
\input{TKZdoc-elements-indepthstudy.tex}
@@ -239,7 +245,7 @@ Project Public License Distributed from \href{http://www.ctan.org/}{CTAN}\ arch
\label{sec:cheat_sheet}
% section cheat_sheet (end)
-|r| denotes a real number, |d| a positive real number, |n|an integer, |an| an angle, |b| a boolean, |s| a character string, |pt| a point, |v| variable, |L| a straight line, |C| a circle, |T| a triangle, |E| an ellipse, |V| a vector,|Q| a quadrilateral, |P| a parallelogram, |R| a rectangle, |S| a square, |RP| a regular polygon, |O| an object (pt, L,C,T), . . a list of points or an object, < > optional argument.
+|r| denotes a real number, |cx| complex number, |d| a positive real number, |n| an integer, |an| an angle, |b| a boolean, |s| a character string, |pt| a point, |t| a table, |m| a matrix, |v| variable, |L| a straight line, |C| a circle, |T| a triangle, |E| an ellipse, |V| a vector,|Q| a quadrilateral, |P| a parallelogram, |R| a rectangle, |S| a square, |RP| a regular polygon, |M| a matrix, |O| an object (pt, L,C,T), . . a list of points or an object, < > optional argument.
\begin{multicols}{3}
@@ -250,20 +256,24 @@ Project Public License Distributed from \href{http://www.ctan.org/}{CTAN}\ arch
|type -> s| \\
|argument -> r| \\
|modulus -> d| \\
-\textbf{Methods} table(\ref{point:met}) \\
-|+ - * / -> pt| \\
-|.. -> r| \\
-|^ -> r| \\
+\textbf{Functions} table(\ref{point:att}) \\
+|new -> pt| \\
+|polar -> pt| \\
+|polar_deg -> pt| \\
+\textbf{Methods} table(\ref{complex:meta}) \\
+|+ - * / (pt,pt) -> pt| \\
+|.. (pt,pt) -> r| \\
+|^ (pt,pt) -> r| \\
+|= -> b| \\
+|tostring -> s| \\
+\textbf{Methods} table(\ref{point:met}) table(\ref{complex:met}) \\
|conj -> pt| \\
-|abs -> r| \\
-|mod -> d| \\
-|norm -> d| \\
+|abs -> r| \\
+|mod -> d| \\
+|norm -> d| \\
|arg -> d| \\
|get -> r,r| \\
|sqrt -> pt| \\
-|new -> pt| \\
-|polar -> pt| \\
-|polar_deg -> pt| \\
|north(d) -> pt| \\
|south(d) -> pt| \\
|east(d) -> pt| \\
@@ -274,9 +284,10 @@ Project Public License Distributed from \href{http://www.ctan.org/}{CTAN}\ arch
|homothety (r , ...) -> O| \\
|orthogonal(d) -> pt| \\
|at() -> pt| \\
+|print() -> s| \\
\\
\fbox{\textbf{line}} \\
-\textbf{Attributes} table(\ref{line:att}) \\
+\textbf{Attributes} table(\ref{line:att}) \\
|pa,pb -> pt| \\
|type -> s| \\
|mid -> pt| \\
@@ -288,7 +299,7 @@ Project Public License Distributed from \href{http://www.ctan.org/}{CTAN}\ arch
|west -> pt| \\
|slope -> r| \\
|length -> d| \\
-|vec -> V| \\
+|vec -> V| \\
\textbf{Methods} table(\ref{line:met}) \\
|new (pt,pt) -> d| \\
|distance (pt) -> d| \\
@@ -410,7 +421,7 @@ Project Public License Distributed from \href{http://www.ctan.org/}{CTAN}\ arch
|-> r,r,r| \\
|in_out (pt) -> pt| \\
|check_equilateral () -> b| \\
- \\
+ \\
\fbox{\textbf{circle}} \\
\textbf{Attributes} table(\ref{circle:att}) \\
|center -> pt| \\
@@ -473,7 +484,7 @@ Project Public License Distributed from \href{http://www.ctan.org/}{CTAN}\ arch
|tangent_at (pt) -> L| \\
|tangent_from (pt) -> L| \\
|point (r) -> pt| \\
- \\
+ \\
\fbox{\textbf{square}} \\
\textbf{Attributes} table(\ref{square:att}) \\
|pa,pb,pc,pd -> pt| \\
@@ -482,7 +493,7 @@ Project Public License Distributed from \href{http://www.ctan.org/}{CTAN}\ arch
|center -> pt| \\
|exradius -> d| \\
|inradius -> d| \\
-|diagonal -> d| \\
+|diagonal -> d| \\
|proj -> pt| \\
|ab bc cd da -> L| \\
|ac bd -> L| \\
@@ -546,36 +557,62 @@ Project Public License Distributed from \href{http://www.ctan.org/}{CTAN}\ arch
|proj -> pt| \\
|nb -> i| \\
|angle -> an| \\
- \textbf{Methods} table(\ref{regular:met})\\
+ \textbf{Methods} table(\ref{regular:met}) \\
|new (pt,pt,n) -> PR| \\
|incircle () -> C| \\
|name (s) -> ?| \\
\\
\fbox{\textbf{vector}} \\
-\textbf{Attributes} table(\ref{vector:att}) \\
-|pa,pb -> pt| \\
+\textbf{Attributes} table(\ref{vector:att}) \\
|type -> s| \\
|norm -> d| \\
|slope -> r| \\
-\textbf{Methods} table(\ref{vector:met})\\
+|mtx -> M| \\
+\textbf{Methods} table(\ref{vector:met}) \\
|new (pt,pt) -> V| \\
|+ - * -> pt| \\
|normalize (V) -> V| \\
|orthogonal (d) -> V| \\
|scale (r) -> V| \\
|at (pt) -> V| \\
+\fbox{\textbf{matrix}} \\
+\textbf{Attributes} table(\ref{matrix:att}) \\
+|set -> t| \\
+|rows -> n| \\
+|cols -> n| \\
+|type -> s| \\
+|det -> r| \\
+\textbf{Functions} table(\ref{matrix:met}) \\
+|new -> m| \\
+|square -> m| \\
+|htm -> m| \\
+|vector -> m| \\
+\textbf{Metamethods} table(\ref{matrix:meta}) \\
+|+ - * (m,m) -> m| \\
+|^ (m,n) -> m| \\
+|= -> b| \\
+|tostring -> s| \\
+\textbf{Method} table(\ref{matrix:met}) \\
+|print -> s| \\
+|get -> r/cx|\\
+|inverse -> m| \\
+|adjugate -> m| \\
+|transpose -> m| \\
+|is_diagonal -> b| \\
+|is_orthogonal -> b| \\
+|homogenization -> m| \\
+|htm_apply -> m| \\
\\
\fbox{\textbf{Misc.}} \\
\textbf{Attributes} table(\ref{misc}) \\
|scale (default =1) -> r| \\
|tkzphi -> r| \\
-|tkzinvphi -> r | \\
-|tkzsqrtphi -> r | \\
-|tkz_epsilon (default=1e-8)-> r | \\
-|length -> d | \\
-|islinear(pt,pt,pt) -> b | \\
-|isortho(pt,pt,pt) -> b | \\
-|\tkzUseLua{v} -> ?| \\
+|tkzinvphi -> r| \\
+|tkzsqrtphi -> r| \\
+|tkz_epsilon (default=1e-8)-> r| \\
+|length -> d| \\
+|islinear(pt,pt,pt) -> b| \\
+|isortho(pt,pt,pt) -> b| \\
|value{r} -> r| \\
|real -> r| \\
|angle_normalize (an) -> an| \\
@@ -586,9 +623,11 @@ Project Public License Distributed from \href{http://www.ctan.org/}{CTAN}\ arch
|midpoint (pt,pt) -> pt| \\
|equilateral (pt,pt) -> T| \\
|format_number(r,n) -> r| \\
-
-\fbox{\textbf{Macros}} \\
-|\tkzDN[n]{r} -> r| \\
-|\tkzDrawLuaEllipse((pt,pt,pt))| \\
+|solve_quadratic(cx,cx,cx) -> cx,cx| \\
+|\tkzUseLua{v} -> s| \\
+ \\
+\fbox{\textbf{Macros}} \\
+|\tkzDN[n]{r} -> r| \\
+|\tkzDrawLuaEllipse((pt,pt,pt))| \\
\end{multicols}
\end{document} \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-organization.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-organization.tex
index 0d59a2b80b..13b17d6a5d 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-organization.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-organization.tex
@@ -3,24 +3,24 @@
Here's a sample organization.
-The line |% !TEX TS-program = lualatex| ensures that you don't forget to compile with Lua\LATEX{}. The “standalone†class is useful, as all you need to do here is create a figure.
+The line |% !TEX TS-program = lualatex| ensures that you compile with Lua\LATEX{}. The \code{standalone} class is useful, as all you need to do here is create a figure.
The package \pkg{ifthen} is useful if you need to use some Boolean.
The macro \tkzcname{LuaCodeDebugOn} allows you to try and find errors in Lua code.
-It is of course possible to leave the Lua code in the \tkzNameEnv{tkzelements} environment, but externalizing this code has its advantages.
+While it's possible to leave the Lua code in the \tkzNameEnv{tkzelements} environment, externalizing this code has its advantages.
-The first advantage, if you use a good editor, is to have a good presentation of the code. Styles are different between “Lua†and \LATEX{}. This makes the code clearer. This is how I proceeded, then reintegrated the code into the main code.
+The first advantage is that, if you use a good editor, you have a better presentation of the code. Styles differ between \code{Lua} and \LATEX{}, making the code clearer. This is how I proceeded, then reintegrated the code into the main code.
-Another advantage is that you don't have to comment the code incorrectly. For Lua code, you comment lines with |--| (double minus sign), whereas for \LATEX{}, you comment with |%|.
+Another advantage is that you don't have to incorrectly comment the code. For Lua code, you comment lines with |--| (double minus sign), whereas for \LATEX{}, you comment with |%|.
-Third advantage: the code can be reused.
+A third advantage is that the code can be reused.
-\begin{verbatim}
+\begin{Verbatim}
% !TEX TS-program = lualatex
% Created by Alain Matthes on 2024-01-09.
@@ -43,11 +43,11 @@ Third advantage: the code can be reused.
\tkzFillCircle[color = orange](I,F)%
\end{tikzpicture}
\end{document}
-\end{verbatim}
+\end{Verbatim}
-And here is the code for the “Lua†part: the file |ex_sangaku.lua|
+And here is the code for the \code{Lua} part: the file |ex_sangaku.lua|
-\begin{verbatim}
+\begin{Verbatim}
z.A = point : new ( 0,0 )
z.B = point : new ( 8,0 )
L.AB = line : new ( z.A , z.B )
@@ -60,7 +60,7 @@ L.bi = T.ABC : bisector (2)
z.c = L.bi.pb
L.Cc = line : new (z.C,z.c)
z.I = intersection (L.Cc,L.BF)
-\end{verbatim}
+\end{Verbatim}
\begin{tkzelements}
scale = 1.25
@@ -78,13 +78,14 @@ z.I = intersection (L.Cc,L.BF)
\subsection{Scale problem} % (fold)
\label{sub:scale_problem}
-If necessary, it's better to do the scaling in the “Lua†section. The reason is that it will be more accurate. There is, however, a problem to be aware of. I've made it a point of honor to avoid using numerical values in my codes whenever possible. In principle, these values only appear in the definition of fixed points. If the “scale†option is used, scaling is applied when points are created. Let's imagine you want to organize your code as follows:
+If necessary, it's better to perform scaling in the \code{Lua} section. This approach tends to be more accurate. However, there is a caveat to be aware of. I've made it a point to avoid using numerical values in my codes whenever possible. Generally, these values only appear in the definition of fixed points.
+ If the \code{scale} option is used, scaling is applied when points are created. Let's imagine you want to organize your code as follows:
|scale = 1.5|\\
|xB = 8|\\
|z.B = point : new ( xB,0 )|
-Scaling would then be ineffective, as the numerical values are not modified, only the point coordinates. To take scaling into account, use the function \Igfct{math}{value (v) }.
+Scaling would then be ineffective, as the numerical values are not modified, only the point coordinates. To account for scaling, use the function \Igfct{math}{value (v) }.
|scale = 1.5|\\
|xB = value (8)|\\
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-presentation.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-presentation.tex
index 86fcc479ab..2687f9debe 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-presentation.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-presentation.tex
@@ -4,27 +4,27 @@
\subsection{With Lua} % (fold)
\label{sub:with_lua}
-The purpose of tkz-elements is simply to calculate dimensions and define points. This is done in Lua. You can think of tkz-elements as a kernel that will be used either by tkz-euclide or by TikZ, see MetaPost.
-Definitions and calculations are done inside the environment \tkzNameEnv{tkzelements}, this environment is based on \tkzNameEnv{luacode}.
+The primary function of tkz-elements is to calculate dimensions and define points, which is achieved using Lua. You can view tkz-elements as a kernel that is utilized either by tkz-euclide or by TikZ,
+Definitions and calculations take place within the environment \tkzNameEnv{tkzelements}, which is based on \tkzNameEnv{luacode}.
\begin{minipage}[t]{.52\textwidth}\vspace{0pt}%
The key points are:
\begin{itemize}
- \item the source file must be \tkzEHand\ {\color{red}\uline{ \color{black}utf8}} encoded;
- \item compilation is done with \tkzEHand\ {\color{red}\uline{ \color{black}Lua\LATEX{}}};
- \item you need to load \tkzimp{\TIKZ}{} ou \tkzimp{tkz-euclide} and \tkzimp{tkz-elements};
- \item definitions and calculations are performed in an orthonormal sytem of reference, using Lua, and are carried out in an environment of \tkzimp{tkzelements}.
+ \item The source file must be \tkzEHand\ {\color{red}\uline{ \color{black}UTF8}} encoded.
+ \item Compilation is done with \tkzEHand\ {\color{red}\uline{ \color{black}Lua\LATEX{}}}.
+ \item You need to load \tkzimp{\TIKZ}{} or \tkzimp{tkz-euclide} and \tkzimp{tkz-elements}.
+ \item Definitions and calculations are performed in an (orthonormal) Cartesian coordinate system, using Luawithin the \tkzimp{tkzelements} environment.
\end{itemize}
- To the right, see the minimum template.
+ On the right, you can see the minimum template.
-The code is divided into two parts, which are two environments \tkzNameEnv{tkzelements} and \tkzNameEnv{tikzpicture}. In the first environment, you place your Lua code, and in the second, tkz-euclide commands.
+The code is divided into two parts, represented by two environments \tkzNameEnv{tkzelements} and \tkzNameEnv{tikzpicture}. In the first environment, you place your Lua code, while in the second, you use tkz-euclide commands.
\vspace*{4.1 cm}%
\end{minipage}\hspace*{\fill}
\begin{minipage}[t]{.45\textwidth}\vspace{0pt}%
\begin{mybox}
-\begin{verbatim}
+\begin{Verbatim}
% !TEX TS-program = lualatex
% Created by Alain Matthes
\documentclass{standalone}
@@ -48,7 +48,7 @@ z.B = point : new ( , )
\end{tikzpicture}
\end{document}
-\end{verbatim}
+\end{Verbatim}
\end{mybox}
\end{minipage}
% subsection with_lua (end)
@@ -68,7 +68,7 @@ z.B = point : new ( , )
node[concept] {Definitions\\Calculations\\\textcolor{purple}{tkz-elements}} };
\end{tikzpicture}
-When all the points necessary for the drawing are obtained, they must be transformed into \tkzname{nodes} so that \pkg{TikZ} or \pkg{tkz-euclide} can draw the figure. This is done through the macro \tkzcname{tkzGetNodes}. This macro browse all the elements of the table |z| using the key (in fact the name of the point) and retrieves the values associated with it, i.e. the coordinates of the point (node).
+After obtaining all the necessary points for the drawing, they must be transformed into \tkzname{nodes} so that \pkg{TikZ} or \pkg{tkz-euclide} can render the figure. This is accomplished using the macro \tkzcname{tkzGetNodes}. This macro iterates through all the elements of the table |z| using the key (which is essentially the name of the point) and retrieves the associated values, namely the coordinates of the point (node).
% subsection the_main_process (end)
\newpage
@@ -121,7 +121,7 @@ When all the points necessary for the drawing are obtained, they must be transfo
\subsubsection{The code} % (fold)
\label{ssub:the_code}
-\begin{tkzexample}[small, code only,num]
+\begin{Verbatim}
% !TEX TS-program = lualatex
\documentclass{article}
\usepackage{tkz-euclide}
@@ -139,7 +139,7 @@ z.O_2 = line: new ( z.C, z.B).mid
C.AB = circle: new ( z.O_0, z.B) -- new object “circle†stored and reused
C.AC = circle: new ( z.O_1, z.C)
C.CB = circle: new ( z.O_2, z.B)
-z.P = C.CB.north -- no“rth atrributes of a circle
+z.P = C.CB.north -- “north†atrributes of a circle
z.Q = C.AC.north
z.O = C.AB.south
z.c = z.C : north (2) -- “north†method of a point (needs a parameter)
@@ -150,7 +150,9 @@ z.P_1 = intersection (C.PC,C.AC) -- idem
_,z.P_2 = intersection (C.QA,C.CB) -- idem
z.O_3 = triangle: new ( z.P_0, z.P_1, z.P_2).circumcenter -- circumcenter attribute of “triangleâ€
\end{tkzelements}
+\end{Verbatim}
+\begin{Verbatim}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawCircle[black,fill=yellow!20,opacity=.4](O_0,B)
@@ -163,7 +165,7 @@ z.O_3 = triangle: new ( z.P_0, z.P_1, z.P_2).circumcenter -- circumcenter attr
\tkzLabelPoints(A,B,C,O_0,O_1,O_2,P,Q,P_0,P_0,P_1,P_2,O)
\end{tikzpicture}
\end{document}
-\end{tkzexample}
+\end{Verbatim}
% subsubsection the_code (end)
\subsection{Another example with comments: South Pole} % (fold)
@@ -171,7 +173,7 @@ z.O_3 = triangle: new ( z.P_0, z.P_1, z.P_2).circumcenter -- circumcenter attr
Here's another example with comments
-\begin{verbatim}
+\begin{Verbatim}
% !TEX TS-program = lualatex
\documentclass{standalone}
\usepackage{tkz-euclide,tkz-elements}
@@ -192,7 +194,7 @@ Here's another example with comments
L.BC = T.ABC.bc -- we get the line (BC)
z.I_A = intersection (L.AO,L.BC) -- we search the intersection of the last lines
\end{tkzelements}
-\end{verbatim}
+\end{Verbatim}
\begin{tkzelements}
scale = 1.2
z.A = point: new (2 , 4)
@@ -228,7 +230,7 @@ Here's another example with comments
\hspace*{\fill}
Here's the tikzpicture environment to obtain the drawing:
-\begin{verbatim}
+\begin{Verbatim}
\begin{tikzpicture}
\tkzGetNodes
\tkzDrawCircles(W,A I,T)
@@ -242,6 +244,6 @@ Here's the tikzpicture environment to obtain the drawing:
\tkzLabelPoints(I,I_A,W,B,C,O)
\tkzLabelPoints[above](A)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
% subsection south_pole (end)
\endinput \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-structure.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-structure.tex
index fe0f7091c5..15b167a793 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-structure.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-structure.tex
@@ -1,12 +1,12 @@
\section{Structure} % (fold)
\label{sec:structure}
-\tkzNamePack{tkz-elements.sty} loads the \tkzNamePack{luacode} package, to create the \tkzNameEnv{tkzelements} environment based on the \tkzNameEnv{luacode} environment.
+\tkzNamePack{tkz-elements.sty} loads the \tkzNamePack{luacode} package to create the \tkzNameEnv{tkzelements} environment, which is based on the \tkzNameEnv{luacode} environment.
-The \tkzNameEnv{tkzelements} environment initializes scale to 1 and then deletes all the values in the various tables.
+Within the \tkzNameEnv{tkzelements} environment, the scale is initialized to 1, and then all values in various tables are cleared.
-The package defines the two macros |\tkzGetNodes| and |\tkzUseLua|.
+The package defines two macros |\tkzGetNodes| and |\tkzUseLua|.
-The package loads the file |tkz_elements_main.lua|. This file initialise all the tables that will be used by the modules in which the classes are defined.
+Additionally, the package loads the file |tkz_elements_main.lua|. This file initializes all the tables that will be used by the modules in which the classes are defined.
\begin{tikzpicture}[scale=.75]
\begin{scope}
@@ -47,7 +47,7 @@ clockwise from=27] {
The current classes are (some are still inactive):
\begin{itemize}
- \item active : \Iclass{point} (z) ; \Iclass{line} (L) ; \Iclass{circle} (C) ; \Iclass{triangle} (T) ; \Iclass{ellipse} (E) ; \Iclass{quadrilateral} (Q) ; \Iclass{square} (S) ; \Iclass{rectangle} (R) ; \Iclass{parallelogram} (P) ; \Iclass{regular\_polygon} (RP).
+ \item active : \Iclass{point} (z) ; \Iclass{line} (L) ; \Iclass{circle} (C) ; \Iclass{triangle} (T) ; \Iclass{ellipse} (E) ; \Iclass{quadrilateral} (Q) ; \Iclass{square} (S) ; \Iclass{rectangle} (R) ; \Iclass{parallelogram} (P) ; \Iclass{regular\_polygon} (RP); \Iclass{vector} (V).
\item inactive : matrix (M) ; vector (V).
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-transfers.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-transfers.tex
new file mode 100644
index 0000000000..a66f493604
--- /dev/null
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-transfers.tex
@@ -0,0 +1,152 @@
+
+\newpage
+\section{Transfers} % (fold)
+\label{sec:transfers}
+\subsection{Fom Lua to tkz-euclide or TikZ} % (fold)
+\label{sub:fom_lua_to_tkz_euclide_or_tikz}
+
+In this section, we'll explore how to transfer points, Booleans, and numerical values.
+
+\subsubsection{Points transfer} % (fold)
+\label{ssub:points_transfer}
+We utilize an environment \tkzname{tkzelements} outside an \tkzname{tikzpicture} environment which allows us to perform all the necessary calculations. Then, we execute the macro \Imacro{tkzGetNodes} which transforms the affixes of the table |z| into \tkzname{Nodes}. Finally, we proceed with the drawing.
+
+At present, the drawing program is either \TIKZ\ or \pkg{tkz-euclide}. However, you have the option to use another package for plotting. To do so, you'll need to create a macro similar to \tkzcname{tkzGetNodes}. Of course, this package must be capable of storing points like \TIKZ\ or \pkg{tkz-euclide}.
+
+\vspace*{1em}
+
+\begin{mybox}
+\begin{Verbatim}
+\def\tkzGetNodes{\directlua{%
+ for K,V in pairs(z) do
+ local n,sd,ft
+ n = string.len(K)
+ if n >1 then
+ _,_,ft, sd = string.find( K , "(.+)(.)" )
+ if sd == "p" then K=ft.."'" end
+ _,_,xft, xsd = string.find( ft , "(.+)(.)" )
+ if xsd == "p" then K=xft.."'".."'" end
+ end
+ tex.print("\\coordinate ("..K..") at ("..V.re..","..V.im..") ;\\\\")
+end}
+}
+\end{Verbatim}
+\end{mybox}
+See the section In-depth Study \ref{sec:in_depth_study} for an explanation of the previous code.
+
+The environment \tkzNameEnv{tkzelements} allows to use the underscore |_| and the macro \tkzcname{tkzGetNodes} allows to obtain names of nodes containing \tkzname{prime} or \tkzname{double prime}. (Refer to the next example)
+
+\begin{minipage}{0.5\textwidth}
+\begin{Verbatim}
+\begin{tkzelements}
+ scale = 1.2
+ z.o = point: new (0,0)
+ z.a_1 = point: new (2,1)
+ z.a_2 = point: new (1,2)
+ z.ap = z.a_1 + z.a_2
+ z.app = z.a_1 - z.a_2
+\end{tkzelements}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawSegments(o,a_1 o,a_2 o,a' o,a'')
+ \tkzDrawSegments[red](a_1,a' a_2,a')
+ \tkzDrawSegments[blue](a_1,a'' a_2,a'')
+ \tkzDrawPoints(a_1,a_2,a',o,a'')
+ \tkzLabelPoints(o,a_1,a_2,a',a'')
+\end{tikzpicture}
+\end{Verbatim}
+\end{minipage}
+\begin{minipage}{0.5\textwidth}
+\begin{tkzelements}
+ scale = 1.2
+ z.o = point: new (0,0)
+ z.a_1 = point: new (2,1)
+ z.a_2 = point: new (1,2)
+ z.ap = z.a_1 + z.a_2
+ z.app = z.a_1 - z.a_2
+\end{tkzelements}
+\hspace{\fill}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawSegments(o,a_1 o,a_2 o,a' o,a'')
+ \tkzDrawSegments[red](a_1,a' a_2,a')
+ \tkzDrawSegments[blue](a_1,a'' a_2,a'')
+ \tkzDrawPoints(a_1,a_2,a',o,a'')
+ \tkzLabelPoints(o,a_1,a_2,a',a'')
+\end{tikzpicture}
+\hspace{\fill}
+\end{minipage}%
+
+\newpage
+% subsection fom_lua_to_tkz_euclide_or_tikz (end)
+\subsubsection{Other transfers} % (fold)
+\label{ssub:other_transfers}
+
+Sometimes it's useful to transfer angle, length measurements or boolean. For this purpose, I have created the macro (refer to \ref{sub:transfer_from_lua_to_tex})
+\IEmacro{tkzUseLua(value)}
+
+\begin{Verbatim}
+\begin{tkzelements}
+ z.b = point: new (1,1)
+ z.a = point: new (4,2)
+ z.c = point: new (2,2)
+ z.d = point: new (5,1)
+ L.ab = line : new (z.a,z.b)
+ L.cd = line : new (z.c,z.d)
+ det = (z.b-z.a)^(z.d-z.c)
+ if det == 0 then bool = true
+ else bool = false
+ end
+ x = intersection (L.ab,L.cd)
+\end{tkzelements}
+
+The intersection of the two lines lies at
+ a point whose affix is:\tkzUseLua{x}
+
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzInit[xmin =-1,ymin=-1,xmax=6,ymax=3]
+ \tkzGrid\tkzAxeX\tkzAxeY
+ \tkzDrawPoints(a,...,d)
+ \ifthenelse{\equal{\tkzUseLua{bool}}{true}}{
+ \tkzDrawSegments[red](a,b c,d)}{%
+ \tkzDrawSegments[blue](a,b c,d)}
+ \tkzLabelPoints(a,...,d)
+\end{tikzpicture}
+\end{Verbatim}
+
+\begin{tkzelements}
+z.b = point: new (1,1)
+z.a = point: new (4,2)
+z.c = point: new (2,2)
+z.d = point: new (5,1)
+L.ab = line : new (z.a,z.b)
+L.cd = line : new (z.c,z.d)
+det = (z.b-z.a)^(z.d-z.c)
+if det == 0 then bool = true
+ else bool = false
+end
+x = intersection (L.ab,L.cd)
+\end{tkzelements}
+
+The intersection of the two lines lies at
+a point whose affix is: \tkzUseLua{x}
+
+\vspace{1em}
+\hspace{\fill}
+\begin{tikzpicture}
+ \tkzGetNodes
+ \tkzInit[xmin =-1,ymin=-1,xmax=6,ymax=3]
+ \tkzGrid\tkzAxeX\tkzAxeY
+ \tkzDrawPoints(a,...,d)
+ \ifthenelse{\equal{\tkzUseLua{bool}}{true}}{
+ \tkzDrawSegments[red](a,b c,d)}{%
+ \tkzDrawSegments[blue](a,b c,d)}
+ \tkzLabelPoints(a,...,d)
+\end{tikzpicture}
+ \hspace{\fill}
+% subsubsection other_transfers (end)
+% subsubsection points_transfer (end)
+% section transfers (end)
+
+\endinput \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-why.tex b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-why.tex
index aa3c23d7d8..6ab030ee2f 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-why.tex
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-why.tex
@@ -8,14 +8,14 @@
\subsubsection{Calculation accuracy in \TIKZ} % (fold)
\label{ssub:calculation_accuracy_in_tikz}
-With \TIKZ, \tkzimp{|veclen(x,y)|} calculates the expression $\sqrt{x^2+y^2}$.
-This calculation is obtained using a polynomial approximation, based on ideas from \tkzimp{Rouben Rostamian}.
+With \TIKZ, the expression \tkzimp{|veclen(x,y)|} calculates the expression $\sqrt{x^2+y^2}$.
+This calculation is achieved through a polynomial approximation, drawing inspiration from the ideas of \tkzimp{Rouben Rostamian}.
\pgfkeys{/pgf/number format/.cd,std,precision=5} \pgfmathparse{veclen(65,72)}
\begin{mybox}{}
-\begin{verbatim}
+\begin{Verbatim}
pgfmathparse{veclen(65,72)} \pgfmathresult
-\end{verbatim}
+\end{Verbatim}
\end{mybox}
\tkzHand $\sqrt{65^2+72^2} \approx \pmpn{\pgfmathresult} $ \tkzRBomb.
@@ -27,56 +27,55 @@ This calculation is obtained using a polynomial approximation, based on ideas fr
A |luaveclen| macro can be defined as follows:
\begin{mybox}{}
-\begin{verbatim}
+\begin{Verbatim}
\def\luaveclen#1#2{\directlua{tex.print(string.format(
'\percentchar.5f',math.sqrt((#1)*(#1)+(#2)*(#2))))}}
-\end{verbatim}
+\end{Verbatim}
\end{mybox}
and
\begin{mybox}
-\begin{verbatim}
+\begin{Verbatim}
\luaveclen{65}{72}
-\end{verbatim}
+\end{Verbatim}
\end{mybox}
gives
\tkzHand $\sqrt{65^2+72^2} = \pmpn{\luaveclen{65}{72}} $ {\color{red}!!}
-The error isn't important if it's a hundredth of a \tkzimp{pt} for the placement of an object on a page, but it's unpleasant for the result of a calculation in a mathematical demonstration. What's more, these inaccuracies can combine to produce erroneous constructions.
+The error, though insignificant when it comes to the placement of an object on a page by a hundredth of a point, becomes problematic for the results of mathematical demonstrations. Moreover, these inaccuracies can accumulate and lead to erroneous constructions.
\vspace{.5em}
-To remedy this lack of precision, I first introduced the package \pkg{fp}, then the package \pkg{xfp}. Lately, with the arrival of lua\LATEX{}, I have been able to add a \tkzname{Lua} option whose goal was to perform some calculations with \tkzname{Lua}.
+To address this lack of precision, I initially introduced the \pkg{fp}, followed by the package \pkg{xfp}. More recently, with the emergence of Lua\LATEX{}, I incorporated a \tkzname{Lua} option aimed at performing calculations with \tkzname{Lua}.
-This was the primary reason for creating the package, the second being the introduction of object-oriented programming and easier programming with Lua. Object-oriented programming (oop) convinced me to further develop all the possibilities this method offered.
+This was the primary motivation behind creating the package, with the secondary goal being the introduction of object-oriented programming (OOP) and simplifying programming with Lua. The concept of OOP persuaded me to explore its various possibilities further.
-At that moment, I had received some examples of programming with \tkzname{Lua} from {\tkzimpbf{Nicolas Kisselhoff}}, but I didn't understand its code, so I had to patiently study Lua. Finally, I was able to build tkz-elements, I took many of his ideas I've adapted.
+At that time, I had received some Lua programming examples from {\tkzimpbf{Nicolas Kisselhoff}}, but I struggled to understand the code initially, so I dedicated time to studying Lua patiently. Eventually, I was able to develop \tkzname{\tkznameofpack}, incorporating many of his ideas that I adapted for the package.
% subsubsection calculation_accuracy_in_lua (end)
\subsubsection{Using objects} % (fold)
\label{ssub:using_objects}
-Then, I read an article\footnote{\href{https://www.guitex.org/home/images/meeting2012/slides/presentazione_giacomell_guitmeeting_2012.pdf}{Grafica ad oggetti con LuaTEX}} by \tkzimpbf{Roberto Giacomelli} on object programming based on the \tkzname{Lua} and \TIKZ\ tools. This was my second source of inspiration. Not only could the programming be done step-by-step, but the introduction of objects allowed the link between the code and the geometry. The code becomes more readable, more explicit and better structured.
+Subsequently, I came across an article by \tkzimpbf{Roberto Giacomelli}\footnote{\href{https://www.guitex.org/home/images/meeting2012/slides/presentazione_giacomell_guitmeeting_2012.pdf}{Grafica ad oggetti con LuaTEX}} on object-oriented programming using \tkzname{Lua} and \TIKZ\ tools. This served as my second source of inspiration. Not only did this approach enable programming to be executed step-by-step, but the introduction of objects facilitated a direct link between the code and geometry. As a result, the code became more readable, explicit, and better structured.
\subsubsection{Example: Apollonius circle} % (fold)
\label{ssub:example_apollonius_circle}
-\begin{mybox}{Problem}
-The goal is to determine an inner tangent circle to the three exinscribed circles of a triangle.
-\end{mybox}
+\begin{mybox}{Problem:}
+The objective is to identify an inner tangent circle to the three exinscribed circles of a triangle.\end{mybox}
-See \href{https://mathworld.wolfram.com/ApolloniusCircle.html}{MathWorld} for more details.
+ For additional details, refer to \href{https://mathworld.wolfram.com/ApolloniusCircle.html}{MathWorld} for more details.
-This example was my reference for testing the \pkg{tkz-euclide} package. With my first methods and the tools at my disposition, the results lacked precision. Now, with tkz-elements, I can use tools that are more powerful, more precise and easier to create.
+This example served as my reference for testing the \pkg{tkz-euclide} package. Initially, with my first methods and the tools available to me, the results lacked precision. However, with tkz-elements, I now have access to more powerful and precise tools that are also easier to use.
-The essential principles of figure construction with \tkzname{tkz-euclide} are kept: definitions, calculations, tracings, labels as well as the step-by-step programmation, corresponding to a construction with a ruler and a compass.
+The fundamental principles of figure construction with \tkzname{tkz-euclide} remain intact: definitions, calculations, tracings, labels, as well as the step-by-step programming, mirroring the process of construction with a ruler and compass.
-This is the version that uses the simplest construction method, made possible by Lua.
+This version utilizes the simplest construction method made possible by Lua.
\begin{mybox}
-\begin{verbatim}
+\begin{Verbatim}
\begin{tkzelements}
scale = .4
z.A = point: new (0,0)
@@ -97,48 +96,52 @@ This is the version that uses the simplest construction method, made possible by
z.O = C.apo.center
z.xa,z.xb,z.xc = C.ortho : inversion (z.Ea,z.Eb,z.Ec)
\end{tkzelements}
-\end{verbatim}
+\end{Verbatim}
\end{mybox}
-The creation of an object encapsulates its attributes (its characteristics) and methods (i.e. the actions that are specific to it). It is then assigned a reference (a name), which is linked to the object using a table. The table is an associative array that links the reference called \tkzimp{key} to a \tkzimp{value}, in this case the object. These notions will be developed later.
+The creation of an object encapsulates its attributes (its characteristics) and methods (i.e. the actions that are specific to it). Subsequently, it is assigned a reference (a name) which is linked to the object using a table. This table functions as an associative array that links the reference, called a \tkzimp{key}, to a \tkzimp{value}, in this case, the object. Further elaboration on these notions will be provided later.
-\tkzimp{T} is a table that associates the object \tkzimp{triangle} with the key \tkzimp{ABC}. \tkzimp{T.ABC} is also a table, and its elements are accessed using keys that are attributes of the triangle. These attributes have been defined in the package.
+For instance, let \tkzimp{T} be a table associating the object \tkzimp{triangle} with the key \tkzimp{ABC}. \tkzimp{T.ABC} is also a table, and its elements are accessed using keys that correspond to attributes of the triangle. These attributes have been defined within the package.
\vspace{1em}
\begin{mybox}
-\begin{verbatim}
- z.N = T.ABC.eulercenter \end{verbatim}
+\begin{Verbatim}
+ z.N = T.ABC.eulercenter
+\end{Verbatim}
\end{mybox}
|N| is the name of the point, |eulercenter| is an attribute of the triangle.
\footnote{ The center of the Euler circle, or center of the nine-point circle, is a characteristic of every triangle.}
\begin{mybox}
-\begin{verbatim}
- T.excentral = T.ABC : excentral () \end{verbatim}
+\begin{Verbatim}
+ T.excentral = T.ABC : excentral ()
+\end{Verbatim}
\end{mybox}
-Here, \tkzimp{excentral} is a method linked to the \tkzimp{T.ABC }object. It defines the triangle formed by the centers of the exinscribed circles.
+In this context, \tkzimp{excentral} is a method associated with the \tkzimp{T.ABC }object. It defines the triangle formed by the centers of the exinscribed circles.
-Two lines are important. The first below shows that the excellent precision provided by Lua makes it possible to define a radius with a complex calculation. The radius of the radical circle is given by $\sqrt{\Pi(S,\mathcal{C}(Ja,Ea))}$ (square root of the power of point $S$ with respect to the exinscribed circle with center |Ja| passing through |Ea|).
+Of particular importance are two lines of code. The first one below demonstrates that the exceptional precision provided by Lua allows for the definition of a radius through a complex calculation. The radius of the radical circle is determined by $\sqrt{\Pi(S,\mathcal{C}(Ja,Ea))}$ (square root of the power of point $S$ with respect to the exinscribed circle with center |Ja| passing through |Ea|).
-\begin{mybox}
-\begin{verbatim}
- C.ortho = circle: radius (z.S,math.sqrt(C.JaEa: power(z.S)))\end{verbatim}
+\begin{mybox}{}
+\begin{Verbatim}
+ C.ortho = circle: radius (z.S,math.sqrt(C.JaEa: power(z.S)))
+\end{Verbatim}
\end{mybox}
-Finally, the inversion of the Euler circle with respect to the radical circle is the Apollonius circle\footnote{The nine-point circle, or Euler circle, is externally tangent to the three circles. The points of tangency form Feuerbach's triangle.}. The transformation has an object as parameter, which is recognized by its type (all objects are typed in the package), and the method determines which algorithm to use according to this type.
+Lastly, it's worth noting that the inversion of the Euler circle with respect to the radical circle yields the Apollonius circle\footnote{The nine-point circle, or Euler circle, is externally tangent to the three circles. The points of tangency form Feuerbach's triangle.}. This transformation requires an object as a parameter, which is recognized by its type (all objects are typed in the package), and the method determines which algorithm to use according to this type.
-\begin{mybox}
-\begin{verbatim}
- C.apo = C.ortho : inversion (C.euler) \end{verbatim}
+\begin{mybox}{}
+\begin{Verbatim}
+ C.apo = C.ortho : inversion (C.euler)
+\end{Verbatim}
\end{mybox}
-Now that all the points have been defined, it's time to start drawing the paths. To do this, you need to create the nodes. This is the role of the macro \Imacro{tkzGetNodes}. See \ref{ssub:points_transfer}
+Now that all the points have been defined, it's time to start drawing the paths. To accomplish this, nodes need to be created. This is the role of the macro \Imacro{tkzGetNodes}. Refer to \ref{ssub:points_transfer}
-The following section concerns only drawings, and is handled by \pkg{tkz-euclide}.
+The subsequent section exclusively deals with drawings, and is managed by \pkg{tkz-euclide}.
-\begin{verbatim}
+\begin{Verbatim}
\begin{tikzpicture}
\tkzGetNodes
\tkzFillCircles[green!30](O,xa)
@@ -146,15 +149,15 @@ The following section concerns only drawings, and is handled by \pkg{tkz-euclide
\tkzFillCircles[lightgray](S,a)
\tkzFillCircles[green!30](N,Ea)
\tkzDrawPoints(xa,xb,xc)
+ \tkzDrawCircles(Ja,Ea Jb,Eb Jc,Ec S,a O,xa N,Ea)
\tkzClipCircle(O,xa)
\tkzDrawLines[add=3 and 3](A,B A,C B,C)
- \tkzDrawCircles(Ja,Ea Jb,Eb Jc,Ec S,a O,xa N,Ea)
\tkzDrawPoints(O,A,B,C,S,Ea,Eb,Ec,N)
\tkzDrawSegments[dashed](S,xa S,xb S,xc)
\tkzLabelPoints(O,N,A,B)
\tkzLabelPoints[right](S,C)
\end{tikzpicture}
-\end{verbatim}
+\end{Verbatim}
\vspace{1em}
\begin{tkzelements}
@@ -186,9 +189,9 @@ The following section concerns only drawings, and is handled by \pkg{tkz-euclide
\tkzFillCircles[lightgray](S,a)
\tkzFillCircles[green!30](N,Ea)
\tkzDrawPoints(xa,xb,xc)
+ \tkzDrawCircles(Ja,Ea Jb,Eb Jc,Ec S,a O,xa N,Ea)
\tkzClipCircle(O,xa)
\tkzDrawLines[add=3 and 3](A,B A,C B,C)
- \tkzDrawCircles(Ja,Ea Jb,Eb Jc,Ec S,a O,xa N,Ea)
\tkzDrawPoints(O,A,B,C,S,Ea,Eb,Ec,N)
\tkzDrawSegments[dashed](S,xa S,xb S,xc)
\tkzLabelPoints(O,N,A,B)
diff --git a/macros/latex/contrib/tkz/tkz-elements/doc/tkz-elements.pdf b/macros/latex/contrib/tkz/tkz-elements/doc/tkz-elements.pdf
index 14426183c2..152e50be1e 100644
--- a/macros/latex/contrib/tkz/tkz-elements/doc/tkz-elements.pdf
+++ b/macros/latex/contrib/tkz/tkz-elements/doc/tkz-elements.pdf
Binary files differ
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz-elements.sty b/macros/latex/contrib/tkz/tkz-elements/latex/tkz-elements.sty
index d3618f8e31..f7416d8e4f 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz-elements.sty
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz-elements.sty
@@ -1,5 +1,5 @@
% encoding : utf8
-% tkz-elements.sty v2.00c
+% tkz-elements.sty v2.20c
% Copyright 2024 Alain Matthes
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
@@ -11,23 +11,27 @@
% This work has the LPPL maintenance status “maintainedâ€.
% The Current Maintainer of this work is Alain Matthes.
-\ProvidesPackage{tkz-elements}[2024/02/04 v2.00c Graphic Object Library]
+\ProvidesPackage{tkz-elements}[2024/03/25 v2.20c Graphic Object Library]
\RequirePackage{luacode}
\directlua{require "tkz_elements_main"}
\newenvironment{tkzelements}
{ \directlua{scale=1}
\directlua{tkz_epsilon=1e-8}
+ \directlua{tkz_dc=2}
\directlua{indirect = true}
- \directlua{for k,v in pairs(z) do z[k] = nil end}
- \directlua{for k,v in pairs(C) do C[k] = nil end}
- \directlua{for k,v in pairs(E) do E[k] = nil end}
- \directlua{for k,v in pairs(L) do L[k] = nil end}
- \directlua{for k,v in pairs(P) do C[k] = nil end}
- \directlua{for k,v in pairs(S) do E[k] = nil end}
- \directlua{for k,v in pairs(R) do C[k] = nil end}
- \directlua{for k,v in pairs(Q) do T[k] = nil end}
- \directlua{for k,v in pairs(T) do T[k] = nil end}
+ \directlua{z={}
+ C={}
+ E={}
+ L={}
+ M={}
+ P={}
+ Q={}
+ R={}
+ RP={}
+ S={}
+ T={}
+ V={}}
\luacode}
{\endluacode}
@@ -53,13 +57,13 @@ end}
\draw[#1](#2) ellipse [x radius=\tkzUseLua{length(z.#3,z.#2)}, y radius = \tkzUseLua{length(z.#4,z.#2)},rotate=\tkzUseLua{math.deg(slope_ (z.#3,z.#2))}];
\endgroup
}
-\def\tkzDN{\pgfutil@ifnextchar[{\tkz@DN}{\tkz@DN[2]}}
+\def\tkzDN{\pgfutil@ifnextchar[{\tkz@DN}{\tkz@DN[2]}}%
\def\tkz@DN[#1]#2{%
\begingroup
-\pgfkeys{/pgf/number format/.cd,std,precision=#1}
+\pgfkeys{/pgf/number format/.cd,std,precision=#1}%
\pgfmathprintnumber{#2}
\endgroup
- }
+}
\makeatother
\endinput
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_circle.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_circle.lua
index e22e3eefd0..708e7b7af3 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_circle.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_circle.lua
@@ -1,6 +1,6 @@
-- tkz_elements-circles.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
@@ -82,9 +82,9 @@ end
-- real --
-----------------------
function circle: power (pt)
- local d
+ local d
d = point.abs (self.center - pt)
- return d * d - self.radius * self.radius
+ return d * d - self.radius * self.radius
end
-----------------------
-- points --
@@ -140,7 +140,7 @@ function circle: tangent_from (pt)
t1,t2 = tangent_from_ (self.center,self.through,pt)
return line :new (pt,t1),line : new (pt,t2)
end
- -- version 1.80
+
function circle: radical_axis (C)
local t1,t2
if self.radius > C.radius then
@@ -151,7 +151,6 @@ function circle: tangent_from (pt)
return line :new (t1,t2)
end
- -- version 1.80
function circle: radical_center (C1,C2)
if C2 == nil then
if self.radius > C1.radius then
@@ -163,7 +162,7 @@ else
return radical_center3 (self,C1,C2)
end
end
- -- version 1.80
+
function circle : radical_circle (C1,C2)
local rc
if C2 == nil then
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_class.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_class.lua
index 97bdc9449d..491d237ac2 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_class.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_class.lua
@@ -1,6 +1,6 @@
-- tkz_elements_class.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- from class.lua (Simple Lua Classes from Lua-users wiki)
-- Compatible with Lua 5.1 (not 5.0).
-- http://lua-users.org/wiki/SimpleLuaClasses DavidManura
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_ellipse.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_ellipse.lua
index 98800f791e..f20b87a44f 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_ellipse.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_ellipse.lua
@@ -1,6 +1,6 @@
-- tkz_elements-ellipses.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
@@ -90,18 +90,14 @@ function ellipse: tangent_at (pt)
end
function ellipse: tangent_from (pt)
- local da,db,zx,zy,zz,u,v,L,U,V
- zx = 2 * self.Rx * math.cos(self.slope)
- zy = 2 * self.Rx * math.sin(self.slope)
- zz = self.Fb + point(zx,zy)
- s1,s2 = intersection_cc_ (pt,self.Fa,self.Fb,zz)
- u,v = mediator_ (s2,self.Fa)
- L = line: new (u,v)
- U,U = intersection_le (L,self)
+ local u,v,U,V,w,s1,s2,s3,s4
+ w = report_ (self.Fb,self.Fa,2 * self.Rx)
+ s1,s2 = intersection_cc_ (pt,self.Fa,self.Fb,w)
u,v = mediator_ (s1,self.Fa)
- L = line: new (pt,u)
- V,V = intersection_le (L,self)
- return line : new (pt,U), line : new (pt,V)
+ U = intersection_ll_ (u,v,self.Fb,s1)
+ u,v = mediator_ (s2,self.Fa)
+ V = intersection_ll_ (u,v,self.Fb,s2)
+ return line : new (pt,U) , line : new (pt,V)
end
function ellipse: in_out (pt)
@@ -117,4 +113,10 @@ function ellipse: in_out (pt)
return false
end
end
+
+function ellipse: orthoptic_circle ()
+ local r = math.sqrt(self.Rx*self.Rx+self.Ry*self.Ry)
+ return circle : radius (self.center, r)
+end
+
return ellipse \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_circles.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_circles.lua
index fe72c68c27..eacd8423a4 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_circles.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_circles.lua
@@ -1,6 +1,6 @@
-- tkz_elements_functions_circles.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
@@ -44,7 +44,6 @@ function orthogonal_through_ (a,b,x,y)
return circum_center_ (x,y,z)
end
-
function inversion_ (c,p,pt)
local ry = point.abs(c-p)
local d = point.abs(c-pt)
@@ -86,7 +85,6 @@ function radical_center_ (c1,p1,c2,p2)
return h*(c2-c1)/d+c1
end
--- version 1.60 center pour deux cercles ?
function radical_center3 (C1,C2,C3)
local t1,t2,t3,t4
t1,t2 = radical_axis_ (C1.center,C1.through,C2.center,C2.through)
@@ -98,7 +96,6 @@ return intersection_ll_ (t1,t2,t3,t4)
end
end
-
function south_pole_ (c,p)
local r
r = point.abs (c-p)
@@ -128,7 +125,6 @@ function circlepoint_ (c,t,k)
return rotation_ (c,phi,t)
end
--- version 1.60 new
function midcircle_(C1,C2)
local state,r,s,t1,t2,T1,T2,p,a,b,c,d,Cx,Cy,i,j
state = circles_position_(C1.center,C1.radius,C2.center,C2.radius)
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_intersections.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_intersections.lua
index 7dd2c59c32..dc44e2ae88 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_intersections.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_intersections.lua
@@ -1,6 +1,6 @@
-- tkz_elements_intersections.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_lines.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_lines.lua
index c9d840d89c..2dd8d6467a 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_lines.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_lines.lua
@@ -1,6 +1,6 @@
-- tkz_elements_functions_lines.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
@@ -138,4 +138,16 @@ function in_segment_ (a,b,pt)
else
return false
end
+end
+
+function report_ (za,zb,d,pt)
+ local t,len
+ len = point.mod(zb-za)
+ t = d/len
+ if pt == nil
+ then
+ return barycenter_({za,1-t},{zb,(t)})
+else
+ return barycenter_({za,1-t},{zb,(t)}) +pt-za
+end
end \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_maths.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_maths.lua
index 63f5190f02..9b4e51d295 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_maths.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_maths.lua
@@ -1,6 +1,6 @@
-- tkz_elements_functions_maths.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
@@ -126,8 +126,186 @@ function swap(a,b)
b=t
return a,b
end
+-- real func
+function is_integer(x)
+ return x == math.round(x)
+end
+
+function near_integer(x)
+ local i,r = math.modf (x)
+ if is_zero (r) then
+ return true
+ end
+ return false
+end
+
+function residue (x)
+ dp,ip = math.modf (x)
+ return ip
+end
+
+function is_zero (x)
+ return math.abs(x) < tkz_epsilon
+end
+
+function set_zero (x)
+ if is_zero (x) then x=0 end
+ return x
+end
+
+function math.round(num)
+ return math.floor(num + 0.5)
+end
+
+function checknumber(x)
+ if type(x) == 'table' then
+ return x
+ else
+ if string.find(x, "e") then
+ return string.format("%.12f",x)
+ else
+ return x
+ end
+ end
+end
+
+function decimal (x)
+ if string.find(x, "e") then
+ return string.format("%.12f",x)
+ else
+ return x
+ end
+end
-function format_number(number, decimal_places)
- local format_string = string.format("%%.%df", decimal_places)
+function format_number(number, dcpl)
+ if type(number) == 'table' then return number
+ else
+ local format_string = string.format("%%.%df", dcpl)
return string.format(format_string, number)
+ end
+end
+
+function get_sign(number)
+ local sgn
+ if math.abs(number) < tkz_epsilon then
+ sgn = ""
+ elseif number > 0 then
+ sgn = "+"
+ else
+ sgn = "-"
+ end
+ return sgn
+end
+
+function solve_quadratic(a, b, c)
+ local root1, root2,delta ,sqrtdelta
+ if (type(a) == "number") and (type(b) == "number") and (type(c) == "number")
+ then
+ delta = b*b - 4*a*c
+ if delta < 0 then
+ root1, root2 = solve_cx_quadratic(a, b, c)
+ elseif delta == 0 then
+ root1 = -b / (2*a)
+ root2 = -b / (2*a)
+ else
+ sqrtdelta = math.sqrt(delta)
+
+ root1 = (-b + sqrtdelta) / (2*a)
+ root2 = (-b - sqrtdelta) / (2*a)
+ end
+ else
+ root1, root2 = solve_cx_quadratic(a, b, c)
+ end
+
+ return root1, root2 -- Two real roots
+end
+
+function solve_cx_quadratic(a, b, c)
+ local d = b*b - 4*a*c
+ local dcx = point.sqrt(d)
+ local root1 = (- b + dcx) / (2*a)
+ local root2 = (- b - dcx) / (2*a)
+ return root1, root2
+end
+
+-- function solve_cubic(a, b, c, d)
+-- local p = (3*a*c - b*b)/(3*a*a)
+-- local q = (2*b*b*b - 9*a*b*c + 27*a*a*d)/(27*a*a*a)
+-- local delta = q*q+4*p*p*p/27
+-- local offset = - b / (3*a)
+-- if delta > tkz_epsilon then
+-- local r = (- q + math.sqrt(delta))/2
+-- local s = (- q - math.sqrt(delta))/2
+-- if r > 0 then
+-- u = r^(1/3)
+-- else
+-- u = -(-r)^(1/3)
+-- end
+-- if s > 0 then
+-- v = s^(1/3)
+-- else
+-- v = -(-s)^(1/3)
+-- end
+-- return u + v + offset
+-- end
+-- if delta < 0 then
+-- local u = 2 * math.sqrt( - p / 3)
+-- local v = math.acos(((3*q)/(2*p)) * math.sqrt( -3 / p)) / 3
+-- local x1 = u * math.cos(v) + offset
+-- local x2 = u * math.cos(v + 2 * math.pi/3) + offset
+-- local x3 = u * math.cos(v - 2 * math.pi/3) + offset
+-- return {x1,x2,x3}
+-- end
+-- if delta == 0 then
+-- return {3*q/p+offset,-3*q/(2*p)+offset,-3*q/(2*p)+offset}
+-- end
+-- end
+
+function display_real (r)
+ local format_string,format_string
+ if r == nil then return ""
+ else
+ if near_integer ( r )
+ then
+ r = math.round ( r )
+ format_string = string.format("%%.%df", 0)
+ else
+ format_string = string.format("%%.%df", tkz_dc)
+ end
+ local st = string.format(format_string , r)
+ return st
+ end
+end
+
+
+function display_imag (r)
+ local sgn
+ sgn = get_sign (r)
+ r = math.abs(r)
+ if math.abs(r-1) < tkz_epsilon then
+ r = nil
+ elseif near_integer ( r ) then
+ r = math.abs(math.round(r))
+ end
+ st = display_real (r)
+ return sgn,st
+end
+
+function display (z)
+ if (type(z) == "number") then return display_real (z) else
+ local real, imag
+ real = z.re
+ imag = z.im
+ if is_zero ( imag ) then
+ return display_real (real)
+ else
+ str = display_real (real)
+ sgni,sti = display_imag (imag)
+ if str == "0" then
+ str=""
+ sgni = "" end
+ local st = str ..sgni..sti.."i"
+ return st
+ end
+end
end
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_matrices.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_matrices.lua
new file mode 100644
index 0000000000..7d3f475570
--- /dev/null
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_matrices.lua
@@ -0,0 +1,374 @@
+-- tkz_elements_functions_matrices.lua
+-- date 2024/03/25
+-- version 2.20c
+-- Copyright 2024 Alain Matthes
+-- 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 “maintainedâ€.
+-- The Current Maintainer of this work is Alain Matthes.
+
+-- ----------------------------------------------------------------------------
+function print_matrix(m,mstyle)
+ local mstyle = (mstyle or 'bmatrix')
+ local m = (m.type=='matrix' and m.set or m)
+ tex.sprint("$")
+ tex.sprint("\\begin{"..mstyle.."}")
+ for i = 1, #m do
+ for j = 1, #m[1] do
+ local x = m[i][j]
+ local st = display(x)
+ tex.sprint(st)
+ if j < #m[1] then tex.sprint(" & ") end
+ end
+ tex.sprint("\\\\")
+ end
+ tex.sprint("\\end{"..mstyle.."}")
+ tex.sprint("$")
+end
+
+function print_array(matrix)
+local mdata = (matrix.type=='matrix' and matrix.set or matrix)
+tex.sprint("\\{%")
+ for i = 1, #mdata do
+ local row = mdata[i]
+ local row_str = "{\\{"
+ for j = 1, #row do
+ row_str = row_str .. " " .. tostring(row[j])
+ if j < #row then
+ row_str = row_str .. " ,"
+ end
+ end
+ if (i~=#mdata) and (j~=#row) then
+ if i>1 then row_str = row_str .. " \\}}," else row_str = row_str .. " \\}}," end
+ tex.sprint(row_str)
+else
+ if i>1 then row_str = row_str .. " \\}}" else row_str = row_str .. " \\}}" end
+ tex.sprint(row_str)
+ end
+end
+tex.sprint("\\}")
+end
+
+function mul_matrix(A, B)
+local adata = (A.type=='matrix' and A.set or A)
+local bdata = (B.type=='matrix' and B.set or B)
+local C = {}
+ for i = 1, #adata do
+ C[i] = {}
+ for j = 1, #bdata[1] do
+ local num = adata[i][1] * bdata[1][j]
+ for k = 2, #adata[1] do
+ num = num + adata[i][k] * bdata[k][j]
+ end
+ C[i][j] = num
+ end
+ end
+ return matrix : new (C)
+end
+
+
+function add_matrix(A, B)
+local adata = (A.type=='matrix' and A.set or A)
+local bdata = (B.type=='matrix' and B.set or B)
+ local S = {}
+ for i = 1, #adata do
+ local T = {}
+ S[i] = T
+ for j = 1, #adata[1] do
+ T[j] = adata[i][j] + bdata[i][j]
+ end
+ end
+ return matrix : new (S)
+end
+
+function k_mul_matrix(n, A)
+local adata = (A.type=='matrix' and A.set or A)
+ local S = {}
+ for i = 1, #adata, 1 do
+ local T = {}
+ S[i] = T
+ for j =1, #adata[1], 1 do
+ T[j] = n * adata[i][j]
+ end
+ end
+ return matrix : new (S)
+end
+
+
+function transposeMatrix(A)
+local mdata = (A.type=='matrix' and A.set or A)
+ local transposedMatrix = {}
+ for i = 1, #mdata[1] do
+ transposedMatrix[i] = {}
+ for j = 1, #mdata do
+ transposedMatrix[i][j] = mdata[j][i]
+ end
+ end
+ return matrix : new (transposedMatrix)
+end
+
+-- Function to calculate the determinant of a square matrix
+function determinant(A)
+ local matrix = (A.type=='matrix' and A.set or A)
+ if #matrix == #matrix[1] then
+ local n = #matrix
+ if n == 1 then
+ return matrix[1][1] -- Base case for 1x1 matrix
+ elseif n == 2 then
+ return matrix[1][1] * matrix[2][2] - matrix[1][2] * matrix[2][1] -- Base case for 2x2 matrix
+ else
+ local det = 0
+ for j = 1, n do
+ local minor = {}
+ for i = 2, n do
+ minor[i - 1] = {}
+ for k = 1, n do
+ if k ~= j then
+ minor[i - 1][#minor[i - 1] + 1] = matrix[i][k]
+ end
+ end
+ end
+ det = det + ((-1)^(j + 1)) * matrix[1][j] * determinant(minor) -- Recursive call for larger matrices
+ end
+ return det
+ end
+ else return nil end
+end
+
+function check_square_matrix (A)
+ local matrix = (A.type=='matrix' and A.set or A)
+ if #matrix == #matrix[1]
+ then
+ return true
+ else
+ return false
+ end
+end
+
+
+function id_matrix (n)
+ local identityMatrix = {}
+ for i = 1, n do
+ identityMatrix[i] = {}
+ for j = 1, n do
+ if i == j then
+ identityMatrix[i][j] = 1
+ else
+ identityMatrix[i][j] = 0
+ end
+ end
+ end
+ return matrix : new (identityMatrix)
+end
+
+function inverse_2x2(A)
+ local m = (A.type=='matrix' and A.set or A)
+ local a, b, c, d = m[1][1], m[1][2], m[2][1], m[2][2]
+ local D = A.det
+ if D == 0 then
+ return nil -- La matrice n'est pas inversible
+ else
+ local inv ={}
+ inv[1]={}
+ inv[1][1] = d / D
+ inv[1][2] = -b / D
+ inv[2]={}
+ inv[2][1] = -c / D
+ inv[2][2] = a / D
+ return matrix : new (inv)
+ end
+end
+
+function adjugate_(A)
+ local m = (A.type=='matrix' and A.set or A)
+ if #m == 2 then
+ local a,b,c,d = m[2][2],-m[1][2],- m[2][1],m[1][1]
+ return matrix : new ({{a,b},{c,d}})
+ elseif #m == 3 then
+ local a, b, c = m[1][1], m[1][2], m[1][3]
+ local d, e, f = m[2][1], m[2][2], m[2][3]
+ local g, h, i = m[3][1], m[3][2], m[3][3]
+ return transposeMatrix(matrix : new ({
+ {e * i - f * h, -(d * i - f * g), d * h - e * g},
+ {-(b * i - c * h), a * i - c * g, -(a * h - b * g)},
+ {b * f - c * e, -(a * f - c * d), a * e - b * d}
+ }))
+ else return nil
+ end
+end
+
+function inverse_3x3(A)
+ local D = A.det
+ if D == 0 then
+ return nil -- La matrice n'est pas inversible
+ else
+ local adj = adjugate_(A)
+ local m = (adj.type=='matrix' and adj.set or adj)
+ local inv = {}
+ for i = 1, 3 do
+ inv[i] = {}
+ for j = 1, 3 do
+ inv[i][j] = m[i][j] / D
+ end
+ end
+ return matrix : new (inv)
+ end
+end
+
+-- inverse only for 2x2 or 3x3 matrix
+function inv_matrix (A)
+ if A.det ==0 then tex.print("Matrix not inversible: det = 0") return nil
+ else
+ local M = (A.type=='matrix' and A.set or A)
+ local n = #M
+ if n == 2 then
+ local m = (A.type=='matrix' and A.set or A)
+ local a, b, c, d = m[1][1], m[1][2], m[2][1], m[2][2]
+ local D = A.det
+ local inv ={}
+ inv[1]={}
+ inv[1][1] = d / D
+ inv[1][2] = -b / D
+ inv[2]={}
+ inv[2][1] = -c / D
+ inv[2][2] = a / D
+ return matrix : new (inv)
+ else
+ local D = A.det
+ local adj = adjugate_(A)
+ local m = (adj.type=='matrix' and adj.set or adj)
+ local inv = {}
+ for i = 1, 3 do
+ inv[i] = {}
+ for j = 1, 3 do
+ inv[i][j] = m[i][j] / D
+ end
+ end
+ return matrix : new (inv)
+ end
+ end
+end
+
+function diagonalize_ (A)
+ local m = (A.type=='matrix' and A.set or A)
+ local trace = m[1][1] + m[2][2]
+ local a,b = m[1][1],m[1][2]
+ local det = A.det
+ local D = trace * trace - 4 * det
+ if D > 0 then
+ local va1 = (trace + math.sqrt(D)) / 2
+ local va2 = (trace - math.sqrt(D)) / 2
+ return matrix : new ({{va1,0},{0,va2}}),
+ matrix : new ({{1,1},{ (va1 - a )/b, (va2 - a)/b}})
+ else
+ local va1 = point (trace/2 , math.sqrt(-D)/ 2)
+ local va2 = point (trace/2 , - math.sqrt(-D)/ 2)
+ return matrix : new ({{va1,0},{0,va2}})--,
+ -- matrix : new ({{1,1},{ (va1 - a )/b, (va2 - a)/b}})
+ end
+ end
+
+ function isDiagonal_(A)
+ local matrix = (A.type=='matrix' and A.set or A)
+ if check_square_matrix (A) == true
+ then
+ for i = 1, #matrix do
+ for j = 1, #matrix[1] do
+ if i ~= j and matrix[i][j] ~= 0 then
+ return false
+ end
+ end
+ end
+ return true
+ else
+ return false
+ end
+ end
+
+ function isOrthogonal_(A)
+ local m = (A.type=='matrix' and A.set or A)
+ if (check_square_matrix (A) == true) and (A.det ~=0)
+ then
+ local mT = transposeMatrix (A)
+ local mI = inv_matrix (A)
+ if mT == mI then return true else return false end
+ else
+ return false
+ end
+ end
+
+
+ function homogenization_ (A)
+ local m = (A.type=='matrix' and A.set or A)
+ if A.cols ~= 1 then
+ return nil
+ else
+ local a,b,c
+ a=m[1][1]
+ b=m[2][1]
+ c= 1
+ return matrix : new ({{a},{b},{c}})
+ end
+ end
+
+ function get_element_( A,i,j )
+ local m = (A.type=='matrix' and A.set or A)
+ if m[i] and m[i][j] then
+ return m[i][j]
+ end
+ end
+
+ function get_htm_point(A)
+ local m = (A.type=='matrix' and A.set or A)
+ return point : new( m[1][1],m[2][1])
+ end
+
+ function htm_apply_ (A,z)
+ local V = homogenization_ ( 1/scale*z.mtx)
+ local W = A * V
+ return get_htm_point(W)
+ end
+
+ function htm_apply_L_ (A,obj)
+ local x,y
+ x = htm_apply_ (A,obj.pa)
+ y = htm_apply_ (A,obj.pb)
+ return line : new (x,y)
+ end
+
+ function htm_apply_C_ (A,obj)
+ local x,y
+ x = htm_apply_ (A,obj.center)
+ y = htm_apply_ (A,obj.through)
+ return circle : new (x,y)
+ end
+
+ function htm_apply_T_ (A,obj)
+ local x,y,z
+ x = htm_apply_ (A,obj.pa)
+ y = htm_apply_ (A,obj.pb)
+ z = htm_apply_ (A,obj.pc)
+ return triangle : new (x,y,z)
+ end
+
+ function htm_apply_Q_ (A,obj)
+ local x,y,z,t
+ x = htm_apply_ (A,obj.pa)
+ y = htm_apply_ (A,obj.pb)
+ z = htm_apply_ (A,obj.pc)
+ t = htm_apply_ (A,obj.pd)
+ if obj.type == "square" then
+ return square : new (x,y,z,t)
+ elseif obj.type == "rectangle" then
+ return rectangle : new (x,y,z,t)
+ elseif obj.type == "parallelogram" then
+ return parallelogram : new (x,y,z,t)
+ elseif obj.type == "quadrilateral" then
+ return quadrilateral : new (x,y,z,t)
+ end
+ end \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_points.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_points.lua
index cb91788424..ce04c2d091 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_points.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_points.lua
@@ -1,6 +1,6 @@
-- tkz_elements_functions_points.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_regular.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_regular.lua
index 7f71760066..bd8f7cab5b 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_regular.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_regular.lua
@@ -1,6 +1,6 @@
-- tkz_elements_functions_regular.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_triangles.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_triangles.lua
index d6a1cb1ecb..2e917db2f1 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_triangles.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_functions_triangles.lua
@@ -1,6 +1,6 @@
-- tkz_elements_functions_triangles.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
@@ -260,6 +260,20 @@ function feuerbach_tr_ (a,b,c)
intersection_cc_ (e,m,jc,hc)
end
--------------------
+-- ellipse --
+--------------------
+function steiner_ (a,b,c)
+ local g,fa,fb,delta,m,v
+ g = centroid_ (a,b,c)
+ delta = a*a+b*b+c*c -a*b-a*c-b*c
+ fa = (a+b+c - point.sqrt(delta))/3
+ fb = (a+b+c + point.sqrt(delta))/3
+ m = midpoint_(b,c)
+ r = (length(fa,m)+length(fb,m))/2
+ v = report_ (fb,fa,r,g)
+ return ellipse: foci (fb,fa,v)
+end
+--------------------
-- miscellanous --
--------------------
@@ -274,7 +288,9 @@ function check_equilateral_ (a,b,c)
C = a - b
if (point.abs(A)-point.abs(B) < tkz_epsilon) and (point.abs(B)-point.abs(C) < tkz_epsilon)
then
- return true else return false
+ return true
+ else
+ return false
end
end
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_line.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_line.lua
index d8c8944835..68a5ad843b 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_line.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_line.lua
@@ -1,6 +1,6 @@
-- tkz_elements_lines.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
@@ -152,6 +152,17 @@ function line: _north_pb (d)
local d = d or 1
return d/self.length *( self.north_pb - self.pb ) + self.pb
end
+
+function line : report (d,pt)
+ local t
+ t = d/self.length
+ if pt == nil
+ then
+ return barycenter_({self.pa,1-t},{self.pb,(t)})
+ else
+ return barycenter_({self.pa,1-t},{self.pb,(t)}) +pt-self.pa
+ end
+end
-------------- transformations -------------
function line: translation_pt ( pt )
return translation_ ( self.pb-self.pa,pt )
@@ -465,7 +476,7 @@ line.golden = line.sublime
line.golden_gnomon = line.divine
------------------------------
--- Result -> couple of points
+-- Result -> square
------------------------------
function line: square (swap)
if swap == nil
@@ -476,15 +487,5 @@ function line: square (swap)
end
end
-function line : report (d,pt)
- local t
- t = d/self.length
- if pt == nil
- then
- return barycenter_({self.pa,1-t},{self.pb,(t)})
-else
- return barycenter_({self.pa,1-t},{self.pb,(t)}) +pt-self.pa
-end
-end
return line \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_main.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_main.lua
index 92eab43a84..3dffb3de46 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_main.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_main.lua
@@ -1,6 +1,6 @@
-- tkz_elements-main.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
@@ -16,8 +16,8 @@
C = {}
E = {}
L = {}
- M = {}
P = {}
+ M = {}
Q = {}
R = {}
RP = {}
@@ -47,3 +47,5 @@ require "tkz_elements_functions_lines.lua"
require "tkz_elements_functions_circles.lua"
require "tkz_elements_functions_triangles.lua"
require "tkz_elements_functions_regular.lua"
+require "tkz_elements_functions_matrices.lua"
+require "tkz_elements_matrices.lua" \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_matrices.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_matrices.lua
new file mode 100644
index 0000000000..ed5fa5b1f3
--- /dev/null
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_matrices.lua
@@ -0,0 +1,219 @@
+-- tkz_elements_matrices.lua
+-- date 2024/03/25
+-- version 2.20c
+-- Copyright 2024 Alain Matthes
+-- 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 “maintainedâ€.
+-- The Current Maintainer of this work is Alain Matthes.
+
+-- ----------------------------------------------------------------------------
+matrix={}
+function matrix: new (value)
+ local type = 'matrix'
+ local rows = #value
+ local cols = #value[1]
+ local set = value
+ local det = determinant(value)
+ local o = {set = set,
+ rows = rows,
+ cols = cols,
+ det = det,
+ type = type }
+ setmetatable(o, self)
+ self.__index = self
+ return o
+end
+
+function matrix.__mul(m1,m2)
+ if getmetatable(m1) ~= matrix then return k_mul_matrix(m1, m2) end
+ if getmetatable(m2) ~= matrix then return k_mul_matrix(m2, m1) end
+ return mul_matrix(m1,m2)
+end
+
+function matrix.__add(m1,m2)
+ return add_matrix(m1,m2)
+end
+
+function matrix.__sub(m1,m2)
+ return add_matrix(m1,k_mul_matrix(-1, m2))
+end
+
+function matrix.__pow( m, num )
+ if num =='T' then
+ return transposeMatrix(m)
+ else
+ if num == 0 then
+ return matrix:new( #m,"I" )
+ end
+ if num < 0 then
+ local i; m,i = inv_matrix ( m )
+ if not m then return m, i end
+ num = -num
+ end
+ local mt = m
+ for i = 2,num do
+ mt = mul_matrix(mt,m)
+ end
+ return mt
+end
+end
+
+function matrix.__tostring( A )
+ local mt = (A.type=='matrix' and A.set or A)
+ local k = {}
+ for i = 1,#mt do
+ local n = {}
+ for j = 1,#mt[1] do
+ n[j] = display(mt[i][j])
+ end
+ k[i] = table.concat(n, " ")
+ end
+ return table.concat(k)
+end
+
+function matrix.__eq( A , B )
+ local mt1 = (A.type=='matrix' and A.set or A)
+ local mt2 = (B.type=='matrix' and B.set or B)
+ if A.type ~= B.type then
+ return false
+ end
+
+ if #mt1 ~= #mt2 or #mt1[1] ~= #mt2[1] then
+ return false
+ end
+
+ for i = 1,#mt1 do
+ for j = 1,#mt1[1] do
+ if mt1[i][j] ~= mt2[i][j] then
+ return false
+ end
+ end
+ end
+ return true
+end
+
+function matrix : square(n,...)
+ local m = {}
+ local t = table.pack(...)
+ if n*n == #t then
+ for i = 1, n do
+ m[i] = {}
+ for j = 1, n do
+ m[i][j] = t[n*(i-1)+j]
+ end
+ end
+ return matrix : new (m)
+ else
+ return nil
+ end
+end
+
+function matrix: vector (...)
+ local m = {}
+ local t = table.pack(...)
+ for i = 1, #t do
+ m[i] = {}
+ m[i][1] = t[i]
+ end
+ return matrix : new (m)
+end
+
+function matrix : homogenization ()
+ return homogenization_ (self)
+end
+
+function matrix : htm_apply (...)
+ local obj,nb,t
+ local tp = table.pack(...)
+ obj = tp[1]
+ nb = tp.n
+ if nb == 1 then
+ if obj.type == "point" then
+ return htm_apply_ ( self,obj )
+ elseif obj.type == "line" then
+ return htm_apply_L_ (self,obj)
+ elseif obj.type == "triangle" then
+ return htm_apply_T_ (self,obj)
+ elseif obj.type == "circle" then
+ return htm_apply_C (self,obj)
+ elseif obj.type == "square"
+ or obj.type == "rectangle"
+ or obj.type == "quadrilateral"
+ or obj.type == "parallelogram" then
+ return htm_apply_Q (self,obj)
+ end
+ else
+ t = {}
+ for i=1,tp.n do
+ table.insert(t , htm_apply_ ( self , tp[i]))
+ end
+ return table.unpack ( t )
+ end
+end
+
+function matrix: k_mul (n)
+ return k_mul_matrix(n, self)
+end
+
+function matrix : get (i,j)
+ return get_element_( self,i,j )
+end
+
+function matrix: inverse ()
+ return inv_matrix (self)
+end
+
+function matrix: adjugate ()
+ return adjugate_ (self)
+end
+
+function matrix: transpose ()
+ return transposeMatrix (self)
+end
+
+function matrix: is_diagonal ()
+ return isDiagonal_ (self)
+end
+
+function matrix: is_orthogonal ()
+ return isOrthogonal_ (self)
+end
+
+function matrix: diagonalize () -- return two matrices D and P
+ return diagonalize_ (self)
+end
+
+function matrix: print (style,fmt)
+ local style = (style or 'bmatrix')
+ local fmt = (fmt or 0)
+ return print_matrix (self,style,fmt)
+end
+
+function matrix: identity (n)
+ return id_matrix (n)
+end
+
+-------------------------
+-- homogeneous transformation matrix
+function matrix : htm (phi,a,b,sx,sy)
+ local tx = (a or 0)
+ local ty = (b or 0)
+ local sx = (sx or 1)
+ local sy = (sy or 1)
+ local phi = (phi or 0)
+ return matrix : square (3,sx*math.cos(phi),-math.sin(phi),tx,math.sin(phi),sy*math.cos(phi),ty,0,0,1)
+end
+-------------------------
+
+function matrix: is_orthogonal ()
+ return isOrthogonal_ (self)
+end
+
+return matrix
+
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_misc.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_misc.lua
index f95877a844..6bf04756a6 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_misc.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_misc.lua
@@ -1,6 +1,6 @@
-- tkz_elements_functions_maths.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_parallelogram.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_parallelogram.lua
index 5ce1d2a9a4..99c4344543 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_parallelogram.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_parallelogram.lua
@@ -1,6 +1,6 @@
-- tkz_elements_parallelogram.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_point.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_point.lua
index 8837299966..5e9d4fcd00 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_point.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_point.lua
@@ -1,6 +1,6 @@
-- tkz_elements_point.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
@@ -26,6 +26,7 @@ point = class(function(p,re,im)
p.type = 'point'
p.argument = math.atan(p.im, p.re)
p.modulus = math.sqrt(p.re * p.re + p.im * p.im)
+ p.mtx = matrix : new {{p.re},{p.im}}
end)
local sqrt = math.sqrt
@@ -94,46 +95,62 @@ function point.__div(x,y)
end
function point.__tostring(z)
- if (z.re == 0) then
- if (z.im == 0) then
+ local real = z.re
+ local imag = z.im
+ if (real == 0) then
+ if (imag == 0) then
return "0"
else
- if (z.im ==1) then
+ if (imag == 1) then
return "" .. "i"
- else
- if (z.im ==-1) then
- return "" .. "-i"
- else
- return "" .. z.im .. "i"
+ else
+ if (imag == -1) then
+ return "" .. "-i"
+ else
+ local imag = string.format( "%."..tkz_dc.."f",imag)
+ return "" .. imag .. "i"
end
end
end
else
- if (z.im > 0) then
- if (z.im ==1) then
- return "" .. z.re .. "+" .. "i"
- else
- return "" .. z.re .. "+" .. z.im .. "i"
+ if (imag > 0) then
+ if (imag ==1) then
+ if is_integer (real) then real = math.round(real) else
+ real = string.format( "%."..tkz_dc.."f",real) end
+ return "" .. real .. "+" .. "i"
+ else
+ if is_integer (real) then real = math.round(real) else
+ real = string.format( "%."..tkz_dc.."f",real) end
+ imag = string.format( "%."..tkz_dc.."f",imag)
+ return "" .. real .. "+" .. imag .. "i"
end
- elseif (z.im < 0) then
- if (z.im ==-1) then
- return "" .. z.re .. "-" .. "i"
- else
- return "" .. z.re .. z.im .. "i"
- end
+ elseif (imag < 0) then
+ if (imag == -1) then
+ if is_integer (real) then real = math.round(real) else
+ real = string.format( "%."..tkz_dc.."f",real) end
+ imag = string.format( "%."..tkz_dc.."f",imag)
+ return "" .. real .. "-" .. "i"
+ else
+ if is_integer (real) then real = math.round(real) else
+ real = string.format( "%."..tkz_dc.."f",real) end
+ imag = string.format( "%."..tkz_dc.."f",imag)
+ return "" .. real .. imag .. "i"
+ end
else
- return "" .. z.re
-
+ if is_integer (real) then real = math.round(real) else
+ real = string.format( "%."..tkz_dc.."f",real) end
+ return "" .. real
+
end
end
end
function point.__tonumber(z)
- if (z.im == 0) then
- return z.re
- else
- return nil
- end
+ if (z.im == 0) then
+ return z.re
+ else
+ return nil
+ end
end
function point.__eq(z1,z2)
@@ -148,46 +165,61 @@ local function pyth(a, b)
end
function point.conj(z)
- return point(z.re,-z.im)
+ local cx = topoint(z)
+ return point(cx.re,-cx.im)
end
function point.mod(z)
- local function sqr(x) return x*x end
- return pyth (z.re,z.im)
+ local cx = topoint(z)
+ local function sqr(x) return x*x end
+ return pyth (cx.re,cx.im)
end
function point.abs (z)
+ local cx = topoint(z)
local function sqr(x) return x*x end
- return sqrt(sqr(z.re) + sqr(z.im))
+ return sqrt(sqr(cx.re) + sqr(cx.im))
end
function point.norm (z)
- local function sqr(x) return x*x end
- return (sqr(z.re) + sqr(z.im))
+ local cx = topoint(z)
+ local function sqr(x) return x*x end
+ return (sqr(cx.re) + sqr(cx.im))
+end
+
+function point.power (z,n)
+ if type(z) == number then return z^n
+ else
+ local m = (z.modulus)^n
+ local a = angle_normalize((z.argument)*n)
+ return scale * polar_ (m,a)
+ end
end
function point.arg (z)
- return math.atan(z.im, z.re)
+ cx = topoint(z)
+ return math.atan(cx.im, cx.re)
end
function point.get(z)
return z.re, z.im
end
-function point: sqrt()
- local y = sqrt((point.mod(self)-self.re)/2)
- local x = self.im/(2*y)
- return point(x,y)
+function point.sqrt(z)
+ local cx = topoint(z)
+ local len = math.sqrt( (cx.re)^2+(cx.im)^2 )
+ local sign = (cx.im < 0 and -1 ) or 1
+ return point(math.sqrt((cx.re+len)/2), sign*math.sqrt((len-cx.re)/2) )
end
-- methods ---
function point: new ( a,b )
- return scale * point (a,b )
+ return scale * point (a,b )
end
function point: polar ( radius, phi )
- return point: new (radius * math.cos(phi), radius * math.sin(phi))
+ return point: new (radius * math.cos(phi), radius * math.sin(phi))
end
function point: polar_deg ( radius, phi )
@@ -195,18 +227,18 @@ function point: polar_deg ( radius, phi )
end
function point: north(d)
- local d = d or 1
+ local d = d or 1
return self+ polar_ ( d , math.pi/2 )
end
function point: south(d)
- local d = d or 1
- return self + polar_ ( d , 3 * math.pi/2 )
- end
+ local d = d or 1
+ return self + polar_ ( d , 3 * math.pi/2 )
+end
function point: east(d)
- local d = d or 1
- return self+ polar_( d , 0 )
+ local d = d or 1
+ return self+ polar_( d , 0 )
end
function point: west(d)
@@ -325,4 +357,8 @@ end
function point : at (z)
return point(self.re+z.re,self.im+z.im)
+end
+
+function point : print ()
+ tex.print(tostring(self))
end \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_quadrilateral.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_quadrilateral.lua
index e1882c67cb..f02c977e08 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_quadrilateral.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_quadrilateral.lua
@@ -1,6 +1,6 @@
-- tkz_elements_quadrilateral.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_rectangle.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_rectangle.lua
index 7c4f8f75ed..7add1b244d 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_rectangle.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_rectangle.lua
@@ -1,6 +1,6 @@
-- tkz_elements-rectangle.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_regular.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_regular.lua
index 2e00ab9598..cc7a24ff06 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_regular.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_regular.lua
@@ -1,6 +1,6 @@
-- tkz_elements_regular.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_square.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_square.lua
index fe7b7a150b..7373886efc 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_square.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_square.lua
@@ -1,6 +1,6 @@
-- tkz_elements-square.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_triangle.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_triangle.lua
index 0d2699ac55..d3a80bd777 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_triangle.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_triangle.lua
@@ -1,6 +1,6 @@
-- tkz_elements_triangles.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
@@ -56,7 +56,6 @@ end
-----------------------
-- points --
-----------------------
--- version 1.80
function triangle: trilinear (a,b,c)
return barycenter_ ( {self.pa,a*self.a },{self.pb,b*self.b},{self.pc,c*self.c} )
end
@@ -146,7 +145,10 @@ end
-------------------
-- N,H,G,O -- check_equilateral_ (a,b,c)
function triangle: euler_line ()
- return line : new (self.orthocenter,self.circumcenter)
+ if not check_equilateral_(self.pa,self.pb,self.pc)
+ then
+ return line : new (self.orthocenter,self.circumcenter)
+ end
end
function triangle: symmedian_line (n)
@@ -359,7 +361,28 @@ end
function triangle: euler ()
return triangle : new (euler_points_ (self.pa,self.pb,self.pc) )
end
+-------------------
+-- Result -> ellipse
+-------------------
+function triangle: steiner_inellipse ()
+ return steiner_ (self.pa,self.pb,self.pc)
+end
+
+function triangle: steiner_circumellipse ()
+ local e
+ e = steiner_ (self.pa,self.pb,self.pc)
+ return ellipse: radii (e.center,2*e.Rx,2*e.Ry,e.slope )
+end
+function triangle: euler_ellipse ()
+ if self : check_acutangle ()
+ then
+ local a,b
+ a,b = intersection_lc_ (self.orthocenter,self.circumcenter,
+ self.eulercenter,self.ab.mid)
+ return ellipse: foci (self.orthocenter,self.circumcenter,a)
+ end
+end
-------------------
-- Result -> miscellaneous
-------------------
@@ -406,6 +429,16 @@ function triangle: check_equilateral ()
return check_equilateral_ (self.pa,self.pb,self.pc)
end
+function triangle: check_acutangle()
+ local asq = self.a * self.a
+ local bsq = self.b * self.b
+ local csq = self.c * self.c
+ if asq + bsq > csq and bsq + csq > asq and csq + asq > bsq then
+ return true
+ else
+ return false
+ end
+end
return triangle \ No newline at end of file
diff --git a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_vector.lua b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_vector.lua
index 310b522788..f3f93a0f53 100644
--- a/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_vector.lua
+++ b/macros/latex/contrib/tkz/tkz-elements/latex/tkz_elements_vector.lua
@@ -1,6 +1,6 @@
-- tkz_elements_vectors.lua
--- date 2024/02/04
--- version 2.00c
+-- date 2024/03/25
+-- version 2.20c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
@@ -17,10 +17,12 @@ vector = {}
function vector: new(za, zb)
local type = 'vector'
local slope = angle_normalize_(point.arg(zb-za))
- local norm = point.mod(zb-za)
- local o = {t = za,
- h = zb,
- norm = norm,
+ local norm = point.mod(zb-za)
+ local mtx = matrix : new {{za},{zb}}
+ local o = {tail = za,
+ head = zb,
+ norm = norm,
+ mtx = mtx,
slope = slope,
type = type }
setmetatable(o, self)
@@ -46,35 +48,35 @@ function vector.__mul(r,v)
end
function vector: normalize ()
- local z = self.h-self.t
+ local z = self.head-self.tail
local d = point.abs(z)
local nz = point(z.re/d,z.im/d)
- return vector : new (self.t,nz + self.t)
+ return vector : new (self.tail,nz + self.tail)
end
function vector: add (ve)
- return vector :new (self.t,self.h+ve.h-ve.t)
+ return vector :new (self.tail,self.head+ve.head-ve.tail)
end
function vector: orthogonal (d)
local z
if d == nil then
- return vector : new (self.t, rotation_(self.t,math.pi/2,self.h))
+ return vector : new (self.tail, rotation_(self.tail,math.pi/2,self.head))
else
- z = self.t+ point (d*math.cos(self.slope),d*math.sin(self.slope))
- return vector : new (self.t, rotation_(self.t,math.pi/2,z))
+ z = self.tail+ point (d*math.cos(self.slope),d*math.sin(self.slope))
+ return vector : new (self.tail, rotation_(self.tail,math.pi/2,z))
end
end
function vector: scale (d)
local l,z
l = self.norm
- z = self.t+ point (d*l*math.cos(self.slope),d*l*math.sin(self.slope))
- return vector : new (self.t,z )
+ z = self.tail+ point (d*l*math.cos(self.slope),d*l*math.sin(self.slope))
+ return vector : new (self.tail,z )
end
function vector: at (zc)
- return vector :new (zc,zc+self.h-self.t)
+ return vector :new (zc,zc+self.head-self.tail)
end
return vector
diff --git a/macros/unicodetex/latex/bithesis/bithesis.dtx b/macros/unicodetex/latex/bithesis/bithesis.dtx
index 3767cd03e6..31ac72566f 100644
--- a/macros/unicodetex/latex/bithesis/bithesis.dtx
+++ b/macros/unicodetex/latex/bithesis/bithesis.dtx
@@ -21,10 +21,10 @@
%<thesis>\ProvidesExplClass{bithesis}
%<report>\ProvidesExplClass{bitreport}
%<beamer>\ProvidesExplClass{bitbeamer}
-%<cls>{2024-03-24}{3.7.1}{BIT Thesis Templates}
+%<cls>{2024-03-26}{3.7.1}{BIT Thesis Templates}
%
%<*driver>
-\ProvidesFile{bithesis.dtx}[2024/03/24 3.7.1 BIT Thesis Templates]
+\ProvidesFile{bithesis.dtx}[2024/03/26 3.7.1 BIT Thesis Templates]
\documentclass[letterpaper]{l3doc}
\usepackage{dtx-style}
diff --git a/macros/unicodetex/latex/bithesis/bithesis.pdf b/macros/unicodetex/latex/bithesis/bithesis.pdf
index 9a9765e70b..1e83f4ec2f 100644
--- a/macros/unicodetex/latex/bithesis/bithesis.pdf
+++ b/macros/unicodetex/latex/bithesis/bithesis.pdf
Binary files differ
diff --git a/systems/texlive/tlnet/tlpkg/installer/ctan-mirrors.pl b/systems/texlive/tlnet/tlpkg/installer/ctan-mirrors.pl
index 285277abfb..d8502b71c4 100644
--- a/systems/texlive/tlnet/tlpkg/installer/ctan-mirrors.pl
+++ b/systems/texlive/tlnet/tlpkg/installer/ctan-mirrors.pl
@@ -12,7 +12,6 @@ $mirrors = {
'https://mirror.bjtu.edu.cn/CTAN/' => 1,
'https://mirror.nyist.edu.cn/CTAN/' => 1,
'https://mirrors.aliyun.com/CTAN/' => 1,
- 'https://mirrors.bfsu.edu.cn/CTAN/' => 1,
'https://mirrors.cloud.tencent.com/CTAN/' => 1,
'https://mirrors.cqu.edu.cn/CTAN/' => 1,
'https://mirrors.jlu.edu.cn/CTAN/' => 1,
@@ -47,7 +46,6 @@ $mirrors = {
},
'Korea' => {
'http://ftp.ktug.org/tex-archive/' => 1,
- 'https://ftp.kaist.ac.kr/tex-archive/' => 1,
'https://kr.mirrors.cicku.me/ctan/' => 1,
'https://lab.uklee.pe.kr/tex-archive/' => 1,
'https://mirror.kakao.com/CTAN/' => 1,
@@ -194,6 +192,7 @@ $mirrors = {
'https://mirror.math.princeton.edu/pub/CTAN/' => 1,
'https://mirror.mwt.me/ctan/' => 1,
'https://mirrors.mit.edu/CTAN/' => 1,
+ 'https://mirrors.rit.edu/CTAN/' => 1,
'https://us.mirrors.cicku.me/ctan/' => 1,
},
},
diff --git a/systems/texlive/tlnet/tlpkg/texlive.tlpdb b/systems/texlive/tlnet/tlpkg/texlive.tlpdb
index 7c0b208d79..a40f3ee2f2 100644
--- a/systems/texlive/tlnet/tlpkg/texlive.tlpdb
+++ b/systems/texlive/tlnet/tlpkg/texlive.tlpdb
@@ -26,11 +26,11 @@ depend container_split_src_files/1
depend frozen/0
depend minrelease/2016
depend release/2024
-depend revision/70752
+depend revision/70768
name 00texlive.image
category TLCore
-revision 70740
+revision 70765
shortdesc TeX Live files only in the source repository
longdesc The files here are not copied by the installer and containers
longdesc are not built for them; they exist only in the source
@@ -2711,6 +2711,7 @@ runfiles size=14457
tlpkg/tlpsrc/longdivision.tlpsrc
tlpkg/tlpsrc/longfbox.tlpsrc
tlpkg/tlpsrc/longfigure.tlpsrc
+ tlpkg/tlpsrc/longmath.tlpsrc
tlpkg/tlpsrc/longnamefilelist.tlpsrc
tlpkg/tlpsrc/loops.tlpsrc
tlpkg/tlpsrc/lparse.tlpsrc
@@ -4878,7 +4879,7 @@ depend setting_available_architectures:aarch64-linux amd64-freebsd amd64-netbsd
name 00texlive.installer
category TLCore
-revision 70742
+revision 70754
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
@@ -16129,10 +16130,10 @@ binfiles arch=windows size=130
name aleph.x86_64-cygwin
category Package
-revision 70560
+revision 70766
shortdesc x86_64-cygwin files of aleph
-containersize 225520
-containerchecksum 196791071753c501d401017e83d3c57d31a62b047d3ce9371d674a96848b413662c31d2ca5f0d1aa30fffd56c07a3c01e07a2fbb1e374aeafddcd9e030a0d6b0
+containersize 225504
+containerchecksum 95481ac823b00feedb0b355ef71debf1604c35e996a9f4d6863d8c4e679587f040e0663001d3613da8516f97da596840fe590a3cc37b26738e2321b28245e860
binfiles arch=x86_64-cygwin size=127
bin/x86_64-cygwin/aleph.exe
@@ -41858,10 +41859,10 @@ binfiles arch=windows size=29
name bibtex.x86_64-cygwin
category Package
-revision 70560
+revision 70766
shortdesc x86_64-cygwin files of bibtex
-containersize 49100
-containerchecksum 799f1fd1ff2729e37f2aca4614a1eb07b70e9a2f885599385359169c3d8297205fa880258eb94a355675f622cfa0d59407ef20a3575a49796f20af4f1f1b8a71
+containersize 49084
+containerchecksum e23288bafc4af1c78a9bf1721a3152a0f60203a47415d44f9e1ca63fb6fc57df7a7f464e2e73142756440cf5e7d5a1c896747c684fb5ae97ff7acade2cc70130
binfiles arch=x86_64-cygwin size=28
bin/x86_64-cygwin/bibtex.exe
@@ -73694,7 +73695,7 @@ containerchecksum 3b8c139a85a7c4361513da6bfd6bbda95c13c17732e96a1cc3e0a5c91a614c
name collection-luatex
category Collection
-revision 70711
+revision 70765
shortdesc LuaTeX packages
relocated 1
longdesc Packages for LuaTeX, a TeX engine using Lua as an embedded
@@ -73727,6 +73728,7 @@ depend interpreter
depend kanaparser
depend ligtype
depend linebreaker
+depend longmath
depend lparse
depend lt3luabridge
depend lua-placeholders
@@ -73805,8 +73807,8 @@ depend tsvtemplate
depend typewriter
depend uninormalize
depend yamlvars
-containersize 1036
-containerchecksum cffca4b935c3e22091e6f1111cc3de0a2cd28c51db865ab3562c3e3ec952ca32fa226b0c4bf6fa9265e59539bac050cd2c4e7856efe855188f6ece5fe9b8a34c
+containersize 1040
+containerchecksum 2b0f8cb3ac13a978e4ea6687e5065cfd33332e96479ce5d89661c5a562064547ea33a449f67e9f6d311ee103444dfddfc522df70b07551423a7012bbee7ccbd3
name collection-mathscience
category Collection
@@ -90453,10 +90455,10 @@ binfiles arch=windows size=4
name ctie.x86_64-cygwin
category TLCore
-revision 70560
+revision 70766
shortdesc x86_64-cygwin files of ctie
-containersize 6780
-containerchecksum bb1fcf564a90aa9a38428ca92987ab5f4d7b567e119365e0aa3af2ed76933c2b57fe0fde3712559b66a06e6fee616f180c14ca899e8ea8825beb2fe3bb76f549
+containersize 6772
+containerchecksum ba0524291e57a17d5336e8d6fbe8a38620f9b1b2d8ee294e21c1c248e48e834d7fcc48b7b5c7de32ca5028b32e4a0676f704844bef45e4872ba469c0f5dddc90
binfiles arch=x86_64-cygwin size=5
bin/x86_64-cygwin/ctie.exe
@@ -91721,10 +91723,10 @@ binfiles arch=amd64-freebsd size=182
name cweb.amd64-netbsd
category Package
-revision 70553
+revision 70758
shortdesc amd64-netbsd files of cweb
-containersize 151156
-containerchecksum 8a6c0cbb2fdb1ae98641a11f37bcccb6a4bf4eebf46b4b04a585af6de9ef7a6f745874774030a1bb0664c54abf7d843b1145a81942da7d63aea184fdfd989e79
+containersize 151140
+containerchecksum 9041e7dbad47e081f63e5e006e6b88ca3262ceb194ddcdd2d27590f2e8c613a9ebb3c24af7632f9c823f2910568114dd17e0a78b85f78f1640be9e326f457cbd
binfiles arch=amd64-netbsd size=182
bin/amd64-netbsd/ctangle
bin/amd64-netbsd/ctwill
@@ -91785,10 +91787,10 @@ binfiles arch=i386-linux size=159
name cweb.i386-netbsd
category Package
-revision 70553
+revision 70758
shortdesc i386-netbsd files of cweb
-containersize 120104
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binfiles arch=i386-netbsd size=166
bin/i386-netbsd/ctangle
bin/i386-netbsd/ctwill
@@ -91851,10 +91853,10 @@ binfiles arch=windows size=84
name cweb.x86_64-cygwin
category Package
-revision 70560
+revision 70766
shortdesc x86_64-cygwin files of cweb
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bin/x86_64-cygwin/ctwill-proofsort
@@ -92670,17 +92672,17 @@ catalogue-version 1.3
name dashrulex
category Package
-revision 70704
+revision 70762
shortdesc Draw dashed rules
relocated 1
longdesc This package package provides a flexible solution for drawing
longdesc dashed rules in the body. It currently provides two commands,
longdesc \hdashrule and \hanyrule. It is written in LaTeX3 and can be
longdesc used as an alternative to the dashrule package.
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docfiles size=18
RELOC/doc/latex/dashrulex/README.md details="Readme"
RELOC/doc/latex/dashrulex/dashrulex.pdf details="Package documentation"
@@ -92690,7 +92692,7 @@ runfiles size=1
catalogue-ctan /macros/latex/contrib/dashrulex
catalogue-license cc-by-4
catalogue-topics rule line-patt expl3
-catalogue-version 1.00b
+catalogue-version 1.00c
name dashundergaps
category Package
@@ -103940,10 +103942,10 @@ binfiles arch=windows size=15
name dvicopy.x86_64-cygwin
category TLCore
-revision 70560
+revision 70766
shortdesc x86_64-cygwin files of dvicopy
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binfiles arch=x86_64-cygwin size=14
bin/x86_64-cygwin/dvicopy.exe
@@ -115038,7 +115040,7 @@ catalogue-version 1.1
name erewhon
category Package
-revision 70740
+revision 70759
shortdesc Font package derived from Heuristica and Utopia
relocated 1
longdesc Erewhon is based on the Heuristica package, which is based in
@@ -115048,10 +115050,10 @@ longdesc styles (proportional, inferior, numerator, denominator) and
longdesc superior letters. The size is 6% smaller than Heuristica,
longdesc matching that of UtopiaStd.
execute addMap erewhon.map
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docfiles size=256
RELOC/doc/fonts/erewhon/FontLog.txt
RELOC/doc/fonts/erewhon/OFL-FAQ.txt
@@ -115059,7 +115061,7 @@ docfiles size=256
RELOC/doc/fonts/erewhon/README details="Readme"
RELOC/doc/fonts/erewhon/erewhon-doc.pdf details="Package documentation"
RELOC/doc/fonts/erewhon/erewhon-doc.tex
-runfiles size=3057
+runfiles size=3049
RELOC/fonts/afm/public/erewhon/Erewhon-Bold.afm
RELOC/fonts/afm/public/erewhon/Erewhon-BoldItalic.afm
RELOC/fonts/afm/public/erewhon/Erewhon-BoldSlanted.afm
@@ -115951,10 +115953,6 @@ runfiles size=3057
RELOC/fonts/tfm/public/erewhon/erewBRM.tfm
RELOC/fonts/tfm/public/erewhon/erewMI.tfm
RELOC/fonts/tfm/public/erewhon/erewMR.tfm
- RELOC/fonts/tfm/public/erewhon/zutbmi.tfm
- RELOC/fonts/tfm/public/erewhon/zutbmia.tfm
- RELOC/fonts/tfm/public/erewhon/zutmi.tfm
- RELOC/fonts/tfm/public/erewhon/zutmia.tfm
RELOC/fonts/type1/public/erewhon/Erewhon-Bold.pfb
RELOC/fonts/type1/public/erewhon/Erewhon-BoldItalic.pfb
RELOC/fonts/type1/public/erewhon/Erewhon-BoldSlanted.pfb
@@ -116181,10 +116179,6 @@ runfiles size=3057
RELOC/fonts/vf/public/erewhon/Erewhon-RegularSlanted-tosf-sc-t2c.vf
RELOC/fonts/vf/public/erewhon/Erewhon-RegularSlanted-tosf-t1.vf
RELOC/fonts/vf/public/erewhon/Erewhon-RegularSlanted-tosf-ts1.vf
- RELOC/fonts/vf/public/erewhon/zutbmi.vf
- RELOC/fonts/vf/public/erewhon/zutbmia.vf
- RELOC/fonts/vf/public/erewhon/zutmi.vf
- RELOC/fonts/vf/public/erewhon/zutmia.vf
RELOC/tex/latex/erewhon/LY1erewhon-Dnom.fd
RELOC/tex/latex/erewhon/LY1erewhon-Inf.fd
RELOC/tex/latex/erewhon/LY1erewhon-LF.fd
@@ -116243,7 +116237,7 @@ runfiles size=3057
catalogue-ctan /fonts/erewhon
catalogue-license ofl lppl1.3
catalogue-topics font font-body font-multilingual font-cyrillic font-proportional font-serif font-otf font-type1 font-supp font-t1enc
-catalogue-version 1.121
+catalogue-version 1.122
name erewhon-math
category Package
@@ -132241,10 +132235,10 @@ binfiles arch=windows size=53
name fontware.x86_64-cygwin
category TLCore
-revision 70560
+revision 70766
shortdesc x86_64-cygwin files of fontware
containersize 65100
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binfiles arch=x86_64-cygwin size=52
bin/x86_64-cygwin/pltotf.exe
bin/x86_64-cygwin/tftopl.exe
@@ -148421,10 +148415,10 @@ binfiles arch=windows size=177
name hitex.x86_64-cygwin
category TLCore
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shortdesc x86_64-cygwin files of hitex
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binfiles arch=x86_64-cygwin size=177
bin/x86_64-cygwin/hilatex
bin/x86_64-cygwin/hishrink.exe
@@ -176555,10 +176549,10 @@ binfiles arch=windows size=401
name kpathsea.x86_64-cygwin
category TLCore
-revision 70560
+revision 70766
shortdesc x86_64-cygwin files of kpathsea
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bin/x86_64-cygwin/cygkpathsea-6.dll
bin/x86_64-cygwin/kpseaccess.exe
@@ -201185,6 +201179,45 @@ catalogue-license lppl1.3
catalogue-topics table table-long graphics-incl
catalogue-version 1.0
+name longmath
+category Package
+revision 70765
+shortdesc Nested delimiter groups extending over multiple array cells or lines
+relocated 1
+longdesc This package provides yet another solution to some well known
+longdesc typesetting problems solved in a variety of ways: multi line
+longdesc formulas with paired and nested delimiters. It tackles the
+longdesc problem at the Lua level, which has some advantages over
+longdesc solutions implemented in TeX. In particular, the TeX code need
+longdesc not be executed multiple times, and there is no interference
+longdesc between TeX grouping and the nesting of delimiter groups. As a
+longdesc byproduct, delimiters can be scaled in various ways, inner
+longdesc delimiters come in different flavours like relational and
+longdesc binary operators, punctuation symbols etc., and outer
+longdesc delimiters can be selected automatically according to the
+longdesc nesting level. Last but not least, delimiter groups can even
+longdesc extend across several array cells or across the whole document.
+longdesc A special environment is provided as well, which allows multi
+longdesc line expressions to be placed inside a displayed equation and
+longdesc make TeX do the line splitting and alignment.
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+docfiles size=62
+ RELOC/doc/lualatex/longmath/README details="Readme"
+ RELOC/doc/lualatex/longmath/longmath-doc.cls
+ RELOC/doc/lualatex/longmath/longmath-doc.lua
+ RELOC/doc/lualatex/longmath/longmath-doc.pdf details="Package documentation"
+ RELOC/doc/lualatex/longmath/longmath-doc.tex
+runfiles size=8
+ RELOC/tex/lualatex/longmath/longmath.lua
+ RELOC/tex/lualatex/longmath/longmath.sty
+catalogue-ctan /macros/luatex/latex/longmath
+catalogue-license lppl1.3
+catalogue-topics maths paren-mgmt luatex
+catalogue-version 0.1
+
name longnamefilelist
category Package
revision 27889
@@ -203960,10 +203993,10 @@ binfiles arch=windows size=1736
name luahbtex.x86_64-cygwin
category TLCore
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shortdesc x86_64-cygwin files of luahbtex
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@@ -204289,10 +204322,10 @@ binfiles arch=windows size=3947
name luajittex.x86_64-cygwin
category TLCore
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shortdesc x86_64-cygwin files of luajittex
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bin/x86_64-cygwin/cygtexluajit-2.dll
bin/x86_64-cygwin/luajithbtex.exe
@@ -205543,10 +205576,10 @@ binfiles arch=windows size=1931
name luatex.x86_64-cygwin
category TLCore
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shortdesc x86_64-cygwin files of luatex
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bin/x86_64-cygwin/dviluatex
@@ -214977,10 +215010,10 @@ binfiles arch=windows size=161
name metafont.x86_64-cygwin
category Package
-revision 70560
+revision 70766
shortdesc x86_64-cygwin files of metafont
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bin/x86_64-cygwin/mf-nowin.exe
@@ -215603,10 +215636,10 @@ binfiles arch=windows size=642
name metapost.x86_64-cygwin
category Package
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+revision 70766
shortdesc x86_64-cygwin files of metapost
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name mflua.x86_64-cygwin
category TLCore
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shortdesc x86_64-cygwin files of mflua
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bin/x86_64-cygwin/mflua.exe
@@ -217062,10 +217095,10 @@ binfiles arch=windows size=49
name mfware.x86_64-cygwin
category TLCore
-revision 70560
+revision 70766
shortdesc x86_64-cygwin files of mfware
containersize 64092
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bin/x86_64-cygwin/gftodvi.exe
bin/x86_64-cygwin/gftopk.exe
@@ -233942,7 +233975,7 @@ catalogue-version 1.0
name newtx
category Package
-revision 70491
+revision 70760
shortdesc Alternative uses of the TX fonts, with improved metrics
relocated 1
longdesc The bundle splits txfonts.sty (from the TX fonts distribution)
@@ -233957,11 +233990,11 @@ longdesc garamondx package, thus offering a garamond-alike
longdesc text-with-maths combination.
depend kastrup
execute addMap newtx.map
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RELOC/doc/fonts/newtx/MANIFEST-newtx.txt
RELOC/doc/fonts/newtx/README details="Readme"
RELOC/doc/fonts/newtx/implementation.pdf details="Implementation notes"
@@ -235056,7 +235089,7 @@ catalogue-also minion2newtx
catalogue-ctan /fonts/newtx
catalogue-license lppl1.3
catalogue-topics font font-body font-maths font-serif font-proportional font-type1 font-otf font-supp font-t1enc
-catalogue-version 1.742
+catalogue-version 1.743
name newtxsf
category Package
@@ -246891,10 +246924,10 @@ binfiles arch=windows size=159
name omegaware.x86_64-cygwin
category TLCore
-revision 70560
+revision 70766
shortdesc x86_64-cygwin files of omegaware
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bin/x86_64-cygwin/odvitype.exe
@@ -253145,10 +253178,10 @@ binfiles arch=windows size=8
name patgen.x86_64-cygwin
category TLCore
-revision 70560
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shortdesc x86_64-cygwin files of patgen
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binfiles arch=x86_64-cygwin size=9
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@@ -255635,10 +255668,10 @@ binfiles arch=aarch64-linux size=663
name pdftex.amd64-freebsd
category TLCore
-revision 70276
+revision 70768
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name proflycee
category Package
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shortdesc A LaTeX package for French maths teachers in high school
relocated 1
longdesc This package provides some commands to help French mathematics
@@ -268157,25 +268190,24 @@ longdesc create splines with "derivative control";
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longdesc create an xcas-windows-like; \CodePythonLstFichier to create
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RELOC/doc/latex/proflycee/ProfLycee-docctan.zip
RELOC/doc/latex/proflycee/ProfLycee-exemples-pyluatex.pdf details="Examples using pyluatex" language="fr"
- RELOC/doc/latex/proflycee/ProfLycee-exemples-pyluatex.tex
RELOC/doc/latex/proflycee/ProfLycee-exemples-pythontex.pdf details="Examples using python" language="fr"
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RELOC/doc/latex/proflycee/README.md details="Readme"
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RELOC/metapost/proflycee/PfLEspace.mp
RELOC/tex/latex/proflycee/ProfLycee.sty
RELOC/tex/latex/proflycee/proflycee-tools-aleatoire.tex
RELOC/tex/latex/proflycee/proflycee-tools-analyse.tex
RELOC/tex/latex/proflycee/proflycee-tools-arithm.tex
+ RELOC/tex/latex/proflycee/proflycee-tools-competences.tex
RELOC/tex/latex/proflycee/proflycee-tools-complexes.tex
RELOC/tex/latex/proflycee/proflycee-tools-ecritures.tex
RELOC/tex/latex/proflycee/proflycee-tools-espace.tex
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catalogue-ctan /macros/latex/contrib/proflycee
catalogue-license lppl1.3c
catalogue-topics maths french teaching expl3 pgf-tikz
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name profmaquette
category Package
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shortdesc Use exercises in different types of documents
relocated 1
longdesc This LaTeX package can help French maths teachers to put one
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catalogue-ctan /macros/latex/contrib/profmaquette
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catalogue-topics teaching exercise maths
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name profsio
category Package
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shortdesc Commands (with TikZ) to work with French "BTS SIO" maths themes
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longdesc tables of Karnaugh ; MPM graphs ; simple graphs.
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catalogue-contact-bugs https://github.com/cpierquet/profsio/issues
catalogue-contact-repository https://github.com/cpierquet/profsio
catalogue-ctan /graphics/pgf/contrib/profsio
catalogue-license lppl1.3c
catalogue-topics graphics pgf-tikz maths
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name program
category Package
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name texlive-scripts
category TLCore
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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.
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depend texlive.infra
execute addMap mathpple.map
postaction shortcut type=menu name="TeX Live command-line" cmd=TEXDIR/tlpkg/installer/tl-cmd.bat
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bin/x86_64-cygwin/dvitype.exe
bin/x86_64-cygwin/pooltype.exe
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name tie.x86_64-cygwin
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shortdesc x86_64-cygwin files of tie
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bin/x86_64-cygwin/tie.exe
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name ttfutils.x86_64-cygwin
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shortdesc x86_64-cygwin files of ttfutils
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bin/x86_64-cygwin/ttf2afm.exe
bin/x86_64-cygwin/ttf2pk.exe
@@ -353623,10 +353646,10 @@ binfiles arch=amd64-freebsd size=1806
name uptex.amd64-netbsd
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shortdesc amd64-netbsd files of uptex
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binfiles arch=amd64-netbsd size=1790
bin/amd64-netbsd/euptex
bin/amd64-netbsd/r-upmpost
@@ -353695,10 +353718,10 @@ binfiles arch=i386-linux size=1107
name uptex.i386-netbsd
category Package
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shortdesc i386-netbsd files of uptex
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binfiles arch=i386-netbsd size=1599
bin/i386-netbsd/euptex
bin/i386-netbsd/r-upmpost
@@ -353731,10 +353754,10 @@ binfiles arch=i386-solaris size=963
name uptex.universal-darwin
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shortdesc universal-darwin files of uptex
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binfiles arch=universal-darwin size=2326
bin/universal-darwin/euptex
bin/universal-darwin/r-upmpost
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name uptex.windows
category Package
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shortdesc windows files of uptex
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binfiles arch=windows size=945
bin/windows/euptex.dll
bin/windows/euptex.exe
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name uptex.x86_64-cygwin
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shortdesc x86_64-cygwin files of uptex
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binfiles arch=x86_64-cygwin size=847
bin/x86_64-cygwin/euptex.exe
bin/x86_64-cygwin/r-upmpost
@@ -361977,10 +362000,10 @@ binfiles arch=windows size=30
name web.x86_64-cygwin
category TLCore
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shortdesc x86_64-cygwin files of web
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binfiles arch=x86_64-cygwin size=27
bin/x86_64-cygwin/tangle.exe
bin/x86_64-cygwin/weave.exe
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name xdvi.amd64-netbsd
category TLCore
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shortdesc amd64-netbsd files of xdvi
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binfiles arch=amd64-netbsd size=424
bin/amd64-netbsd/xdvi
bin/amd64-netbsd/xdvi-xaw
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name xdvi.i386-netbsd
category TLCore
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shortdesc i386-netbsd files of xdvi
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binfiles arch=i386-netbsd size=375
bin/i386-netbsd/xdvi
bin/i386-netbsd/xdvi-xaw
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name xetex.amd64-freebsd
category TLCore
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shortdesc amd64-freebsd files of xetex
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binfiles arch=amd64-freebsd size=7791
bin/amd64-freebsd/teckit_compile
bin/amd64-freebsd/xelatex
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name xetex.amd64-netbsd
category TLCore
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shortdesc amd64-netbsd files of xetex
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binfiles arch=amd64-netbsd size=7826
bin/amd64-netbsd/teckit_compile
bin/amd64-netbsd/xelatex
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name xetex.i386-freebsd
category TLCore
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shortdesc i386-freebsd files of xetex
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binfiles arch=i386-freebsd size=7791
bin/i386-freebsd/teckit_compile
bin/i386-freebsd/xelatex
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name xetex.i386-linux
category TLCore
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shortdesc i386-linux files of xetex
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binfiles arch=i386-linux size=7038
bin/i386-linux/teckit_compile
bin/i386-linux/xelatex
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name xetex.i386-netbsd
category TLCore
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shortdesc i386-netbsd files of xetex
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binfiles arch=i386-netbsd size=7601
bin/i386-netbsd/teckit_compile
bin/i386-netbsd/xelatex
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name xetex.i386-solaris
category TLCore
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shortdesc i386-solaris files of xetex
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name xetex.universal-darwin
category TLCore
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shortdesc universal-darwin files of xetex
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bin/universal-darwin/teckit_compile
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name xetex.windows
category TLCore
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bin/windows/fc-cache.exe
bin/windows/fc-cat.exe
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name xetex.x86_64-cygwin
category TLCore
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shortdesc x86_64-cygwin files of xetex
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bin/x86_64-cygwin/teckit_compile.exe
bin/x86_64-cygwin/xelatex
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name xetex.x86_64-linux
category TLCore
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shortdesc x86_64-linux files of xetex
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binfiles arch=x86_64-linux size=7008
bin/x86_64-linux/teckit_compile
bin/x86_64-linux/xelatex
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name xetex.x86_64-linuxmusl
category TLCore
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shortdesc x86_64-linuxmusl files of xetex
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bin/x86_64-linuxmusl/teckit_compile
bin/x86_64-linuxmusl/xelatex
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name xetex.x86_64-solaris
category TLCore
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shortdesc x86_64-solaris files of xetex
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bin/x86_64-solaris/teckit_compile
bin/x86_64-solaris/xelatex
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name xindy.x86_64-cygwin
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shortdesc x86_64-cygwin files of xindy
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diff --git a/systems/texlive/tlnet/tlpkg/texlive.tlpdb.md5 b/systems/texlive/tlnet/tlpkg/texlive.tlpdb.md5
index 6703ae2b0a..8ab81dfc0e 100644
--- a/systems/texlive/tlnet/tlpkg/texlive.tlpdb.md5
+++ b/systems/texlive/tlnet/tlpkg/texlive.tlpdb.md5
@@ -1 +1 @@
-666982b93ccb2a4a3af6f830fa6139cd texlive.tlpdb
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diff --git a/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512 b/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512
index e29a7d8ebc..f9169ae941 100644
--- a/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512
+++ b/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512
@@ -1 +1 @@
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diff --git a/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512.asc b/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512.asc
index c946aad6be..0b04ab6582 100644
--- a/systems/texlive/tlnet/tlpkg/texlive.tlpdb.sha512.asc
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diff --git a/systems/win32/miktex/tm/packages/next/pr.ini b/systems/win32/miktex/tm/packages/next/pr.ini
index 9c44a48907..dbd9245c80 100644
--- a/systems/win32/miktex/tm/packages/next/pr.ini
+++ b/systems/win32/miktex/tm/packages/next/pr.ini
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diff --git a/timestamp b/timestamp
index f5bb8e0b46..991733b7e6 100644
--- a/timestamp
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@@ -2,4 +2,4 @@
# The source CTAN of this site's material:
dante.ctan.org
# The year-month-day-hour-minute of this site's material:
-2024-03-26-02-02
+2024-03-27-02-02