summaryrefslogtreecommitdiff
path: root/Master/texmf-dist
diff options
context:
space:
mode:
Diffstat (limited to 'Master/texmf-dist')
-rw-r--r--Master/texmf-dist/doc/latex/basicarith/CHANGES2
-rw-r--r--Master/texmf-dist/doc/latex/basicarith/README33
-rw-r--r--Master/texmf-dist/doc/latex/basicarith/basicarith.pdfbin0 -> 211857 bytes
-rw-r--r--Master/texmf-dist/doc/latex/basicarith/lppl.txt416
-rw-r--r--Master/texmf-dist/source/latex/basicarith/basicarith.dtx963
-rw-r--r--Master/texmf-dist/source/latex/basicarith/basicarith.ins65
-rw-r--r--Master/texmf-dist/tex/latex/basicarith/basicarith.sty287
7 files changed, 1766 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/latex/basicarith/CHANGES b/Master/texmf-dist/doc/latex/basicarith/CHANGES
new file mode 100644
index 00000000000..070d4e3b8b0
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/basicarith/CHANGES
@@ -0,0 +1,2 @@
+19 October 2014: Version 1.0, with all basic functionality
+ complete.
diff --git a/Master/texmf-dist/doc/latex/basicarith/README b/Master/texmf-dist/doc/latex/basicarith/README
new file mode 100644
index 00000000000..036f8084349
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/basicarith/README
@@ -0,0 +1,33 @@
++AMDG
+
+This document is copyright 2014 by Donald P. Goodman, and is
+released publicly under the LaTeX Project Public License. The
+distribution and modification of this work is constrained by the
+conditions of that license. See
+ http://www.latex-project.org/lppl.txt
+for the text of the license. This document is released
+under version 1.3 of that license, and this work may be distributed
+or modified under the terms of that license or, at your option, any
+later version.
+
+This work has the LPPL maintenance status 'maintained'.
+
+The Current Maintainer of this work is Donald P. Goodman
+(dgoodmaniii@gmail.com).
+
+This work consists of the files basicarith.ins and
+basicarith.dtx, along with derived files basicarith.sty and
+basicarith.pdf.
+
+basicarith provides macros for typesetting basic arithmetic,
+in the style typically found in textbooks. It focuses on
+the American style of performing these algorithms. It is
+written mostly in low-level TeX; the goal is to have it run
+in either plain TeX or LaTeX, but there are two
+constructions that currently prevent this. It is highly
+configurable, with macros and lengths described in the
+documentation.
+
+This package should run properly on any properly running LaTeX
+system. It's been tested specifically with TeXLive on Linux (3.2.0
+kernel).
diff --git a/Master/texmf-dist/doc/latex/basicarith/basicarith.pdf b/Master/texmf-dist/doc/latex/basicarith/basicarith.pdf
new file mode 100644
index 00000000000..2ae377f3098
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/basicarith/basicarith.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/basicarith/lppl.txt b/Master/texmf-dist/doc/latex/basicarith/lppl.txt
new file mode 100644
index 00000000000..22443139013
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/basicarith/lppl.txt
@@ -0,0 +1,416 @@
+The LaTeX Project Public License
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
+
+LPPL Version 1.3c 2008-05-04
+
+Copyright 1999 2002-2008 LaTeX3 Project
+ Everyone is allowed to distribute verbatim copies of this
+ license document, but modification of it is not allowed.
+
+
+PREAMBLE
+========
+
+The LaTeX Project Public License (LPPL) is the primary license under
+which the LaTeX kernel and the base LaTeX packages are distributed.
+
+You may use this license for any work of which you hold the copyright
+and which you wish to distribute. This license may be particularly
+suitable if your work is TeX-related (such as a LaTeX package), but
+it is written in such a way that you can use it even if your work is
+unrelated to TeX.
+
+The section `WHETHER AND HOW TO DISTRIBUTE WORKS UNDER THIS LICENSE',
+below, gives instructions, examples, and recommendations for authors
+who are considering distributing their works under this license.
+
+This license gives conditions under which a work may be distributed
+and modified, as well as conditions under which modified versions of
+that work may be distributed.
+
+We, the LaTeX3 Project, believe that the conditions below give you
+the freedom to make and distribute modified versions of your work
+that conform with whatever technical specifications you wish while
+maintaining the availability, integrity, and reliability of
+that work. If you do not see how to achieve your goal while
+meeting these conditions, then read the document `cfgguide.tex'
+and `modguide.tex' in the base LaTeX distribution for suggestions.
+
+
+DEFINITIONS
+===========
+
+In this license document the following terms are used:
+
+ `Work'
+ Any work being distributed under this License.
+
+ `Derived Work'
+ Any work that under any applicable law is derived from the Work.
+
+ `Modification'
+ Any procedure that produces a Derived Work under any applicable
+ law -- for example, the production of a file containing an
+ original file associated with the Work or a significant portion of
+ such a file, either verbatim or with modifications and/or
+ translated into another language.
+
+ `Modify'
+ To apply any procedure that produces a Derived Work under any
+ applicable law.
+
+ `Distribution'
+ Making copies of the Work available from one person to another, in
+ whole or in part. Distribution includes (but is not limited to)
+ making any electronic components of the Work accessible by
+ file transfer protocols such as FTP or HTTP or by shared file
+ systems such as Sun's Network File System (NFS).
+
+ `Compiled Work'
+ A version of the Work that has been processed into a form where it
+ is directly usable on a computer system. This processing may
+ include using installation facilities provided by the Work,
+ transformations of the Work, copying of components of the Work, or
+ other activities. Note that modification of any installation
+ facilities provided by the Work constitutes modification of the Work.
+
+ `Current Maintainer'
+ A person or persons nominated as such within the Work. If there is
+ no such explicit nomination then it is the `Copyright Holder' under
+ any applicable law.
+
+ `Base Interpreter'
+ A program or process that is normally needed for running or
+ interpreting a part or the whole of the Work.
+
+ A Base Interpreter may depend on external components but these
+ are not considered part of the Base Interpreter provided that each
+ external component clearly identifies itself whenever it is used
+ interactively. Unless explicitly specified when applying the
+ license to the Work, the only applicable Base Interpreter is a
+ `LaTeX-Format' or in the case of files belonging to the
+ `LaTeX-format' a program implementing the `TeX language'.
+
+
+
+CONDITIONS ON DISTRIBUTION AND MODIFICATION
+===========================================
+
+1. Activities other than distribution and/or modification of the Work
+are not covered by this license; they are outside its scope. In
+particular, the act of running the Work is not restricted and no
+requirements are made concerning any offers of support for the Work.
+
+2. You may distribute a complete, unmodified copy of the Work as you
+received it. Distribution of only part of the Work is considered
+modification of the Work, and no right to distribute such a Derived
+Work may be assumed under the terms of this clause.
+
+3. You may distribute a Compiled Work that has been generated from a
+complete, unmodified copy of the Work as distributed under Clause 2
+above, as long as that Compiled Work is distributed in such a way that
+the recipients may install the Compiled Work on their system exactly
+as it would have been installed if they generated a Compiled Work
+directly from the Work.
+
+4. If you are the Current Maintainer of the Work, you may, without
+restriction, modify the Work, thus creating a Derived Work. You may
+also distribute the Derived Work without restriction, including
+Compiled Works generated from the Derived Work. Derived Works
+distributed in this manner by the Current Maintainer are considered to
+be updated versions of the Work.
+
+5. If you are not the Current Maintainer of the Work, you may modify
+your copy of the Work, thus creating a Derived Work based on the Work,
+and compile this Derived Work, thus creating a Compiled Work based on
+the Derived Work.
+
+6. If you are not the Current Maintainer of the Work, you may
+distribute a Derived Work provided the following conditions are met
+for every component of the Work unless that component clearly states
+in the copyright notice that it is exempt from that condition. Only
+the Current Maintainer is allowed to add such statements of exemption
+to a component of the Work.
+
+ a. If a component of this Derived Work can be a direct replacement
+ for a component of the Work when that component is used with the
+ Base Interpreter, then, wherever this component of the Work
+ identifies itself to the user when used interactively with that
+ Base Interpreter, the replacement component of this Derived Work
+ clearly and unambiguously identifies itself as a modified version
+ of this component to the user when used interactively with that
+ Base Interpreter.
+
+ b. Every component of the Derived Work contains prominent notices
+ detailing the nature of the changes to that component, or a
+ prominent reference to another file that is distributed as part
+ of the Derived Work and that contains a complete and accurate log
+ of the changes.
+
+ c. No information in the Derived Work implies that any persons,
+ including (but not limited to) the authors of the original version
+ of the Work, provide any support, including (but not limited to)
+ the reporting and handling of errors, to recipients of the
+ Derived Work unless those persons have stated explicitly that
+ they do provide such support for the Derived Work.
+
+ d. You distribute at least one of the following with the Derived Work:
+
+ 1. A complete, unmodified copy of the Work;
+ if your distribution of a modified component is made by
+ offering access to copy the modified component from a
+ designated place, then offering equivalent access to copy
+ the Work from the same or some similar place meets this
+ condition, even though third parties are not compelled to
+ copy the Work along with the modified component;
+
+ 2. Information that is sufficient to obtain a complete,
+ unmodified copy of the Work.
+
+7. If you are not the Current Maintainer of the Work, you may
+distribute a Compiled Work generated from a Derived Work, as long as
+the Derived Work is distributed to all recipients of the Compiled
+Work, and as long as the conditions of Clause 6, above, are met with
+regard to the Derived Work.
+
+8. The conditions above are not intended to prohibit, and hence do not
+apply to, the modification, by any method, of any component so that it
+becomes identical to an updated version of that component of the Work as
+it is distributed by the Current Maintainer under Clause 4, above.
+
+9. Distribution of the Work or any Derived Work in an alternative
+format, where the Work or that Derived Work (in whole or in part) is
+then produced by applying some process to that format, does not relax or
+nullify any sections of this license as they pertain to the results of
+applying that process.
+
+10. a. A Derived Work may be distributed under a different license
+ provided that license itself honors the conditions listed in
+ Clause 6 above, in regard to the Work, though it does not have
+ to honor the rest of the conditions in this license.
+
+ b. If a Derived Work is distributed under a different license, that
+ Derived Work must provide sufficient documentation as part of
+ itself to allow each recipient of that Derived Work to honor the
+ restrictions in Clause 6 above, concerning changes from the Work.
+
+11. This license places no restrictions on works that are unrelated to
+the Work, nor does this license place any restrictions on aggregating
+such works with the Work by any means.
+
+12. Nothing in this license is intended to, or may be used to, prevent
+complete compliance by all parties with all applicable laws.
+
+
+NO WARRANTY
+===========
+
+There is no warranty for the Work. Except when otherwise stated in
+writing, the Copyright Holder provides the Work `as is', without
+warranty of any kind, either expressed or implied, including, but not
+limited to, the implied warranties of merchantability and fitness for a
+particular purpose. The entire risk as to the quality and performance
+of the Work is with you. Should the Work prove defective, you assume
+the cost of all necessary servicing, repair, or correction.
+
+In no event unless required by applicable law or agreed to in writing
+will The Copyright Holder, or any author named in the components of the
+Work, or any other party who may distribute and/or modify the Work as
+permitted above, be liable to you for damages, including any general,
+special, incidental or consequential damages arising out of any use of
+the Work or out of inability to use the Work (including, but not limited
+to, loss of data, data being rendered inaccurate, or losses sustained by
+anyone as a result of any failure of the Work to operate with any other
+programs), even if the Copyright Holder or said author or said other
+party has been advised of the possibility of such damages.
+
+
+MAINTENANCE OF THE WORK
+=======================
+
+The Work has the status `author-maintained' if the Copyright Holder
+explicitly and prominently states near the primary copyright notice in
+the Work that the Work can only be maintained by the Copyright Holder
+or simply that it is `author-maintained'.
+
+The Work has the status `maintained' if there is a Current Maintainer
+who has indicated in the Work that they are willing to receive error
+reports for the Work (for example, by supplying a valid e-mail
+address). It is not required for the Current Maintainer to acknowledge
+or act upon these error reports.
+
+The Work changes from status `maintained' to `unmaintained' if there
+is no Current Maintainer, or the person stated to be Current
+Maintainer of the work cannot be reached through the indicated means
+of communication for a period of six months, and there are no other
+significant signs of active maintenance.
+
+You can become the Current Maintainer of the Work by agreement with
+any existing Current Maintainer to take over this role.
+
+If the Work is unmaintained, you can become the Current Maintainer of
+the Work through the following steps:
+
+ 1. Make a reasonable attempt to trace the Current Maintainer (and
+ the Copyright Holder, if the two differ) through the means of
+ an Internet or similar search.
+
+ 2. If this search is successful, then enquire whether the Work
+ is still maintained.
+
+ a. If it is being maintained, then ask the Current Maintainer
+ to update their communication data within one month.
+
+ b. If the search is unsuccessful or no action to resume active
+ maintenance is taken by the Current Maintainer, then announce
+ within the pertinent community your intention to take over
+ maintenance. (If the Work is a LaTeX work, this could be
+ done, for example, by posting to comp.text.tex.)
+
+ 3a. If the Current Maintainer is reachable and agrees to pass
+ maintenance of the Work to you, then this takes effect
+ immediately upon announcement.
+
+ b. If the Current Maintainer is not reachable and the Copyright
+ Holder agrees that maintenance of the Work be passed to you,
+ then this takes effect immediately upon announcement.
+
+ 4. If you make an `intention announcement' as described in 2b. above
+ and after three months your intention is challenged neither by
+ the Current Maintainer nor by the Copyright Holder nor by other
+ people, then you may arrange for the Work to be changed so as
+ to name you as the (new) Current Maintainer.
+
+ 5. If the previously unreachable Current Maintainer becomes
+ reachable once more within three months of a change completed
+ under the terms of 3b) or 4), then that Current Maintainer must
+ become or remain the Current Maintainer upon request provided
+ they then update their communication data within one month.
+
+A change in the Current Maintainer does not, of itself, alter the fact
+that the Work is distributed under the LPPL license.
+
+If you become the Current Maintainer of the Work, you should
+immediately provide, within the Work, a prominent and unambiguous
+statement of your status as Current Maintainer. You should also
+announce your new status to the same pertinent community as
+in 2b) above.
+
+
+WHETHER AND HOW TO DISTRIBUTE WORKS UNDER THIS LICENSE
+======================================================
+
+This section contains important instructions, examples, and
+recommendations for authors who are considering distributing their
+works under this license. These authors are addressed as `you' in
+this section.
+
+Choosing This License or Another License
+----------------------------------------
+
+If for any part of your work you want or need to use *distribution*
+conditions that differ significantly from those in this license, then
+do not refer to this license anywhere in your work but, instead,
+distribute your work under a different license. You may use the text
+of this license as a model for your own license, but your license
+should not refer to the LPPL or otherwise give the impression that
+your work is distributed under the LPPL.
+
+The document `modguide.tex' in the base LaTeX distribution explains
+the motivation behind the conditions of this license. It explains,
+for example, why distributing LaTeX under the GNU General Public
+License (GPL) was considered inappropriate. Even if your work is
+unrelated to LaTeX, the discussion in `modguide.tex' may still be
+relevant, and authors intending to distribute their works under any
+license are encouraged to read it.
+
+A Recommendation on Modification Without Distribution
+-----------------------------------------------------
+
+It is wise never to modify a component of the Work, even for your own
+personal use, without also meeting the above conditions for
+distributing the modified component. While you might intend that such
+modifications will never be distributed, often this will happen by
+accident -- you may forget that you have modified that component; or
+it may not occur to you when allowing others to access the modified
+version that you are thus distributing it and violating the conditions
+of this license in ways that could have legal implications and, worse,
+cause problems for the community. It is therefore usually in your
+best interest to keep your copy of the Work identical with the public
+one. Many works provide ways to control the behavior of that work
+without altering any of its licensed components.
+
+How to Use This License
+-----------------------
+
+To use this license, place in each of the components of your work both
+an explicit copyright notice including your name and the year the work
+was authored and/or last substantially modified. Include also a
+statement that the distribution and/or modification of that
+component is constrained by the conditions in this license.
+
+Here is an example of such a notice and statement:
+
+ %% pig.dtx
+ %% Copyright 2005 M. Y. Name
+ %
+ % This work may be distributed and/or modified under the
+ % conditions of the LaTeX Project Public License, either version 1.3
+ % of this license or (at your option) any later version.
+ % The latest version of this license is in
+ % http://www.latex-project.org/lppl.txt
+ % and version 1.3 or later is part of all distributions of LaTeX
+ % version 2005/12/01 or later.
+ %
+ % This work has the LPPL maintenance status `maintained'.
+ %
+ % The Current Maintainer of this work is M. Y. Name.
+ %
+ % This work consists of the files pig.dtx and pig.ins
+ % and the derived file pig.sty.
+
+Given such a notice and statement in a file, the conditions
+given in this license document would apply, with the `Work' referring
+to the three files `pig.dtx', `pig.ins', and `pig.sty' (the last being
+generated from `pig.dtx' using `pig.ins'), the `Base Interpreter'
+referring to any `LaTeX-Format', and both `Copyright Holder' and
+`Current Maintainer' referring to the person `M. Y. Name'.
+
+If you do not want the Maintenance section of LPPL to apply to your
+Work, change `maintained' above into `author-maintained'.
+However, we recommend that you use `maintained', as the Maintenance
+section was added in order to ensure that your Work remains useful to
+the community even when you can no longer maintain and support it
+yourself.
+
+Derived Works That Are Not Replacements
+---------------------------------------
+
+Several clauses of the LPPL specify means to provide reliability and
+stability for the user community. They therefore concern themselves
+with the case that a Derived Work is intended to be used as a
+(compatible or incompatible) replacement of the original Work. If
+this is not the case (e.g., if a few lines of code are reused for a
+completely different task), then clauses 6b and 6d shall not apply.
+
+
+Important Recommendations
+-------------------------
+
+ Defining What Constitutes the Work
+
+ The LPPL requires that distributions of the Work contain all the
+ files of the Work. It is therefore important that you provide a
+ way for the licensee to determine which files constitute the Work.
+ This could, for example, be achieved by explicitly listing all the
+ files of the Work near the copyright notice of each file or by
+ using a line such as:
+
+ % This work consists of all files listed in manifest.txt.
+
+ in that place. In the absence of an unequivocal list it might be
+ impossible for the licensee to determine what is considered by you
+ to comprise the Work and, in such a case, the licensee would be
+ entitled to make reasonable conjectures as to which files comprise
+ the Work.
+
diff --git a/Master/texmf-dist/source/latex/basicarith/basicarith.dtx b/Master/texmf-dist/source/latex/basicarith/basicarith.dtx
new file mode 100644
index 00000000000..a710be9f64f
--- /dev/null
+++ b/Master/texmf-dist/source/latex/basicarith/basicarith.dtx
@@ -0,0 +1,963 @@
+% \iffalse
+% +AMDG This document was begun on 7 October 11EX, the
+% feast of the Blessed Virgin Mary for the Rosary, and it is
+% humbly dedicated to her, for her prayers, and to the
+% Sacred Heart of Jesus for His mercy.
+%
+% This document is copyright 2014 by Donald P. Goodman, and is
+% released publicly under the LaTeX Project Public License. The
+% distribution and modification of this work is constrained by the
+% conditions of that license. See
+% http://www.latex-project.org/lppl.txt
+% for the text of the license. This document is released
+% under version 1.3 of that license, and this work may be distributed
+% or modified under the terms of that license or, at your option, any
+% later version.
+%
+% This work has the LPPL maintenance status 'maintained'.
+%
+% The Current Maintainer of this work is Donald P. Goodman
+% (dgoodmaniii@gmail.com).
+%
+% This work consists of basicarith.dtx, basicarith.ins, and
+% derived files basicarith.sty and basicarith.pdf.
+% \fi
+
+% \iffalse
+%<package>\NeedsTeXFormat{LaTeX2e}[1999/12/01]
+%<package>\ProvidesPackage{basicarith}[2015/01/01 v1.0 support for typesetting basic arithmetic in the American fashion]
+%<*driver>
+\documentclass{ltxdoc}
+
+\usepackage{doc}
+\usepackage{array}
+\usepackage{lettrine}
+ \setcounter{DefaultLines}{3}
+ \setlength{\DefaultFindent}{2pt}
+ \renewcommand{\LettrineFontHook}{\color{red}}
+\usepackage{url}
+\usepackage{spverbatim}
+\usepackage[noshowdivwork]{basicarith}
+\usepackage[colorlinks]{hyperref}
+\usepackage{makeidx}
+\EnableCrossrefs
+\PageIndex
+\CodelineNumbered
+\RecordChanges
+\makeindex
+\DoNotIndex{\?,\{,\},\|,\DeclareFontFamily,\DeclareFontShape,
+ \DeclareMathAccent,\DeclareMathAlphabet,\DeclareMathDelimiter,
+ \DeclareMathSymbol,\DeclareMathVersion,\DeclareSymbolFont,\def,
+ \drmsym,\encodingdefault,\familydefault,\fontencoding,\fontfamily,
+ \fontseries,\fontshape,\hfil,\hbox,\mathalpha,\mathclose,
+ \mathopen,\mathord,\mathversion,\mp,\nabla,\nbshortroman,
+ \RedefineMRmdclxvij,\relax,\renewcomand,\RequirePackage,
+ \selectfont,\SetMathAlphabet,\SetSymbolFont,\drmsymbolredef,
+ \nodefaultfalse,\nodefaultmathfalse,\nodefaultmathtrue,\nodefaulttrue,
+ \nodefaulttextfalse,\nodefaulttexttrue,\noindent,\numexpr,
+ \acute,\addtolength,\advance,\backslash,\baselineskip,
+ \char,\counterA,\counterB,\DeclareOption,\ProcessOptions,
+ \drmmathlets,\if,\else,\fi,\ifnum,\fi,\ifdim,\fi,
+ \symbolsonlyfalse,\fontsize,\newif,\newcount,
+ \loop,\iter,\let,\renewcommand,\setbox,\setlength,\the,\vss,
+ \vskip,\vbox,\newlength,\@tempboxa,\b@loopi,\b@parenfontsize,
+ \counterA,\counterB,\newcount,\r@@t,\z@,\DeclareMathRadical,
+ \DeclareRobustCommand,\bBigg@,\@ifnextchar,\@sqrt,\@makefnmark,
+ \@thefnmark,\catcode,\active,\b@spaceout,\b@xloop,\bf,
+ \b@totalprobwid,\checknil,\assignthencheck,\afterassignment,
+ \auxcountchar,\b@charcount,\gobblechar,\getdroparrowwidth,
+ \checknil,\countchar,\countunlessnil,\csname,\endcsname,
+ \divide,\multiply,\advance,\edef,\expandafter,\f@size,\ifx,\fi,
+ \ifshowdivisionwork,\fi,\linewidth,\newdimen,\next,\nil,
+ \wd,\xx,\hbox,\vbox,\vtop,\hrule,\vrule,\hskip,\hss,\footnotesize,
+ \downarrow}
+
+\begin{document}
+\DocInput{basicarith.dtx}
+\end{document}
+%</driver>
+% \fi
+%
+% \title{The |basicarith| Package, v1.0}
+% \author{Donald P.\ Goodman III}
+% \date{\today}
+%
+% \maketitle
+%
+% \begin{abstract}
+% The |basicarith| package provides means for typesetting
+% arithmetic problems, of whatever operations, in a clean
+% and open fashion, suitable for educational texts rather
+% than scholarly works. Digits are spaced out, work (such
+% as carrying, borrowing, and dropping) can be shown
+% visibly, and individual digits can be styled independently.
+% \end{abstract}
+%
+% \tableofcontents
+%
+% \section{Introduction}
+%
+% \TeX\ and \LaTeX\ are, of course, justly celebrated for
+% their ability to beautifully typeset mathematics.
+% However, there are few utilities available for typesetting
+% the sort of mathematics that we find in primary school
+% textbooks. We can easily typeset incredibly complex
+% equations, and \TeX\ will put them together perfectly; but
+% to typeset an example addition problem, showing our work,
+% is quite difficult. |basicarith| attempts to fill this
+% need by providing macros for typesetting and organizing
+% such problems.
+%
+% It is notable that basic arithmetic is done in several
+% different styles in various places, though of course the
+% algorithms are typically the same. The author being an
+% American, |basicarith| typesets the problems according to
+% the American custom. Most of these are shared with other
+% English-speaking countries; however, some, particularly
+% long division, will look quite odd to those from other
+% countries. No option for using these other styles is
+% currently available.
+%
+% \section{Basic Macros}
+%
+% |basicarith| offers a few basic macros for formulating
+% problems. These must be divided into two main groups:
+% long division, and other operations. Since the latter are
+% simpler, we'll start with those.
+%
+% \subsection{Non-Division Operations}
+%
+% The fundamental macros for this are
+% \DescribeMacro{\opline}|\opline|,
+% \DescribeMacro{\probline}|\probline|,
+% \DescribeMacro{\nextpline}|\nextpline|, and
+% \DescribeMacro{\soluline}|\soluline|. The syntax for each
+% is simple; we'll take them in their order of use.
+%
+% \begin{center}
+% \cmd{\probline} \marg{width} \marg{number}
+% \end{center}
+%
+% Both these arguments are mandatory. Simply put,
+% |probline| takes first the total width of the problem you
+% are typesetting; this is equivalent to the longest line of
+% the problem. So if your longest line is, say, eight
+% digits long, you put ``8'' here. The second is the number
+% of the first line of the equation.
+%
+% \begin{center}
+% \cmd{\nextpline} \marg{number}
+% \end{center}
+%
+% |\nextpline| just takes the next number of the equation.
+%
+% \begin{center}
+% \cmd{\opline} \marg{operator} \marg{number}
+% \end{center}
+%
+% |\opline| takes two mandatory arguments; first, the
+% operator to be typeset, and second, the number of the
+% final line. It also prints a ``solution line'' underneath
+% itself; this makes it the last line in the problem before
+% we start figuring the answer. Note that, if you want a
+% mathematical symbol for the operator (say, ``$\times$''),
+% you have to include the dollar signs yourself. This means
+% that \emph{any} character can be your operator, not only
+% math characters.
+%
+% \begin{center}
+% \cmd{\soluline} \marg{number}
+% \end{center}
+%
+% |\soluline| is designed for the solution of the problem.
+% Functionally this is equivalent to |\nextpline|, but
+% semantically it is clearer. Furthermore, it resets the
+% line counter, so that line styles will be correctly
+% applied in future equations.
+%
+% There remains only one more basic macro: |\noopline|.
+%
+% \begin{center}
+% \cmd{\noopline} \marg{number}
+% \end{center}
+%
+% \DescribeMacro{\noopline}|\noopline|
+% is identical to |\opline| except that it does not print
+% the operator. This is useful for typesetting operations
+% that require one or more intermediate solutions; for
+% example, multiplication by more than one digit.
+% Typically, in the American style the operator is printed
+% only on the final line of the first solution; subsequent
+% intermediate solutions require a rule above them but no
+% operator on that rule. |\noopline| is what produces this.
+%
+% These are then combined in the way one might expect. For
+% example:
+%
+% \bigskip
+% \hbox to\linewidth{%
+% \hfil%
+% \hbox to0.5\linewidth{\vbox{%
+% \begin{spverbatim}
+% \probline{9}{58193}
+% \nextpline{54}
+% \nextpline{4397}
+% \opline{$+$}{38291374}
+% \nextpline{38354018}
+% \noopline{54}
+% \soluline{38354072}
+% \end{spverbatim}}
+% }\hfil%
+% \problembox{%
+% \probline{9}{58193}
+% \nextpline{54}
+% \nextpline{4397}
+% \opline{$+$}{38291374}
+% \nextpline{38354018}
+% \noopline{54}
+% \soluline{38354072}
+% }%
+% \hfil%
+% }%
+% \bigskip
+%
+% And that's the essentials of using |basicarith| for
+% non-long division.
+%
+% \subsection{Long Division}
+%
+% Long division is typically more difficult to typeset than
+% other functions; so |basicarith| offers different macros
+% for handling it. The examples below are meaningless
+% (unlike those above, which are actually correct); they are
+% merely meant to show the macros which are available.
+%
+% \begin{center}
+% \cmd{\longdiv} \marg{length} \marg{dividend} \marg{divisor}
+% \end{center}
+%
+% The \DescribeMacro{\longdiv}|\longdiv| macro is,
+% obviously, the most important; it typesets the
+% all-important first line of a long division problem.
+% |\longdiv| takes three arguments, all mandatory; the first
+% is the length of the dividend in number of digits (it uses
+% this to calculate the appropriate length of the line over
+% of the dividend); the second is the dividend itself; and
+% the third is the divisor. It uses a simple
+% close-parenthesis between the dividend and divisor, scaled
+% to 1.2 times the current font size.
+%
+% \begin{center}
+% \cmd{\ldsoluline} \marg{solution} \marg{remainder}
+% \end{center}
+%
+% \DescribeMacro{\ldsoluline}|\ldsoluline| typesets
+% the answer. This is a bit tricky, because as mentioned
+% before, in American-style long division, the answer is
+% typeset \emph{above} the question, not below it; but we
+% don't know how much space we will need for that answer
+% until we've typeset the first line, containing the
+% dividend, divisor, and close-parenthesis. So
+% |\ldsoluline| should be input \emph{after} the |\longdiv|
+% command but \emph{before} any |\nextldline|s; otherwise,
+% |basicarith| won't be able to place it correctly.
+%
+% The second argument to |\ldsoluline| is the remainder; if
+% you don't want to typeset a remainder, you still must
+% include this argument, but it can be left blank.
+%
+% \begin{center}
+% \cmd{\nextldline} \marg{cutoff} \marg{number}
+% \end{center}
+%
+% In the American style of long division, intermediate
+% values are placed \emph{underneath} the dividend, while
+% the solution itself is placed \emph{above} it.
+% \DescribeMacro{\nextldline}|\nextldline| typesets these
+% intermediate values. It takes two arguments, both
+% mandatory. The first is the number of digits of the
+% dividend that are encompassed by this intermediate result
+% (that is, in purely visual terms, the number of digits in
+% the dividend which will not have a number underneath
+% them); the second is the number itself.
+%
+% Notice that |basicarith| does not keep track of how much
+% it must indent subsequent lines when you're showing your
+% work. This has the benefit that you can skip steps as you
+% see fit; it has the drawback that you have to tell
+% |basicarith| how much each |\nextldline| must skip ahead
+% in order to get the number properly placed.
+%
+% \bigskip
+% \hbox to\linewidth{%
+% \hfil%
+% \hbox to0.5\linewidth{\vbox{%
+% \begin{spverbatim}
+% \longdiv{6}{430;932}{983}
+% \ldsoluline{837;61}{4}
+% \nextldline{3}{43}
+% \nextldline{2}{4389}
+% \end{spverbatim}}
+% }\hfil%
+% \problembox{%
+% \longdiv{6}{430;932}{983}
+% \ldsoluline{837;61}{4}
+% \nextldline{3}{43}
+% \nextldline{2}{4389}
+% }%
+% \hfil%
+% }
+%
+%
+% And this suffices for basic usage of |basicarith|.
+% However, there are many other settings available with the
+% package, which we will address in the next section.
+%
+% \section{Advanced Usage}
+%
+% |basicarith| allows each line of a mathematical problem to
+% be specially styled. For example, say you are trying to
+% draw particular attention to the subtrahend of a given
+% problem:
+%
+% \hbox to\linewidth{\LARGE\hfil%
+% \linestyle{2}{\color{red}}
+% \problembox{%
+% \probline{4}{548}
+% \opline{$-$}{27}
+% \soluline{521}
+% }%
+% \hfil}%
+%
+% Or for some reason you want to highlight each line of a
+% subtraction problem differently, perhaps to visually
+% demonstrate which part is which:
+%
+% \hbox to\linewidth{\LARGE\hfil%
+% \linestyle{1}{\color{blue}}%
+% \linestyle{2}{\color{red}}%
+% \linestyle{3}{\color{green}}%
+% \problembox{%
+% \probline{4}{548}%
+% \opline{$-$}{27}%
+% \soluline{521}%
+% }%
+% \hfil}%
+%
+% This is accomplished using the
+% \DescribeMacro{\linestyle}|\linestyle| command, which
+% takes two arguments: the number of the line of the
+% problem to be styled (starting with 1 at the top), and the
+% style to be applied to that line.
+%
+% \begin{center}
+% \cmd{\linestyle} \marg{line number} \marg{style}
+% \end{center}
+%
+% The style commands can be anything at all; colors,
+% weights, shapes, or any combination of the above. These
+% commands will typically be confined to the innermost box
+% (particularly, they will not span |\problembox|es), but if
+% you do need to manually clear all these values back to
+% default (which is no styling at all), issue the command
+% \DescribeMacro{\clearlinestyles}|\clearlinestyles|.
+%
+% \bigskip
+% \hbox to\linewidth{%
+% \hfil%
+% \hbox to0.5\linewidth{\vbox{%
+% \begin{spverbatim}
+% \linestyle{1}{\color{blue}}%
+% \linestyle{2}{\color{red}}%
+% \linestyle{3}{\color{green}}%
+% \probline{4}{548}%
+% \opline{$-$}{27}%
+% \soluline{521}%
+% \end{spverbatim}}
+% }\hfil%
+% \vbox{\linestyle{1}{\color{blue}}%
+% \linestyle{2}{\color{red}}%
+% \linestyle{3}{\color{green}}%
+% \vskip-1em%
+% \LARGE
+% \problembox{
+% \probline{4}{548}%
+% \opline{$-$}{27}%
+% \soluline{521}%
+% }}%
+% \hfil%
+% }
+%
+% Digits can also be individually styled by means of the
+% \DescribeMacro{\digstyle}|\digstyle| command.
+%
+% \begin{center}
+% \cmd{\digstyle} \marg{column number} \marg{style}
+% \end{center}
+%
+% Note that these are really styling \emph{columns}, not
+% merely digits; the style will be applied to every number
+% in that column until either another |\digstyle| for that
+% column number is issued or a
+% \DescribeMacro{\cleardigitstyles}|\cleardigitstyles|
+% command is encountered. (This latter is like
+% |\clearlinestyles|, and is pretty self-explanatory.)
+%
+% \bigskip
+% \hbox to\linewidth{%
+% \hfil%
+% \hbox to0.5\linewidth{\vbox{%
+% \begin{spverbatim}
+% \linestyle{1}{\color{blue}}%
+% \linestyle{2}{\color{red}}%
+% \linestyle{3}{\color{green}}%
+% \digstyle{3}{\color{black}\itshape}%
+% \probline{4}{548}%
+% \opline{$-$}{27}%
+% \soluline{521}%
+% \end{spverbatim}}
+% }\hfil%
+% \vbox{\linestyle{1}{\color{blue}}%
+% \linestyle{2}{\color{red}}%
+% \linestyle{3}{\color{green}}%
+% \digstyle{3}{\color{black}\itshape}%
+% \vskip-1em%
+% \LARGE
+% \problembox{
+% \probline{4}{548}%
+% \opline{$-$}{27}%
+% \soluline{521}%
+% }}%
+% \hfil%
+% }
+%
+% Notice also that |\digstyle| commands always take precedence over
+% |\linestyle| commands, no matter what order they are
+% issued in.
+%
+% Oftentimes we want to show our work explicitly, including
+% our carrying (in the case of addition or multiplication)
+% and our borrowing (in the case of subtraction). We can
+% show this work by using the
+% \DescribeMacro{\carryline}|\carryline|
+% macro. |\carryline| takes two arguments, the number of
+% digits you'll be putting carries over, and the line
+% with the carries or borrows that you wish to display.
+%
+% \begin{center}
+% \cmd{\carryline} \marg{number of digits} \marg{carries}
+% \end{center}
+%
+% |\carryline| will respect all |\linestyle| and |\digstyle|
+% commands, and it \emph{does} count as a line for
+% |\linestyle| purposes.
+%
+% \bigskip
+% \hbox to\linewidth{%
+% \hfil%
+% \hbox to0.5\linewidth{\vbox{%
+% \begin{spverbatim}
+% \carryline{4}{{3}{\strike{18}17}}
+% \probline{4}{548}%
+% \opline{$-$}{29}%
+% \soluline{519}%
+% \end{spverbatim}}
+% }\hfil%
+% \vbox{
+% \vskip-1em%
+% \LARGE
+% \problembox{
+% \carryline{4}{{3}{\strike{18}17}}
+% \probline{4}{548}%
+% \opline{$-$}{29}%
+% \soluline{519}%
+% }}%
+% \hfil%
+% }
+% \bigskip
+%
+% The first argument must be the same as that in the
+% |\probline| that the carries will be a part of. This is a
+% clunkiness in the interface that I haven't been able to
+% resolve.
+%
+% Multiple digits can be put in a single carry place by enclosing
+% them in brackets. Further, styling can be applied in a
+% limited way within those brackets; most basic styling,
+% such as italics and boldface, will work, but more complex
+% styling will not. Experimentally, at the very least
+% |soul| and |ulem| styling will not work here. For this
+% reason, |basicarith| provides the
+% \DescribeMacro{\strike}|\strike| command, which will
+% strike out a borrow when another borrow is required. It
+% is used as shown in the example above (quite erroneously
+% applied there for the sake of example). |\strike| takes a
+% single argument, the number to be struck out. It is
+% implemented quite na\"\i{}vly, and will consequently only
+% strike out one or two digit numbers.
+%
+% Oftentimes we want to arrange our equations in the page,
+% and |basicarith|'s setup, with each line being a separate
+% |\hbox|, can sometimes make this difficult. We therefore
+% have \DescribeMacro{\problembox}|\problembox|, which can
+% enclose any number of |basicarith| statements and make it
+% easier to position it on the page. For example, a
+% |basicarith| equation in a |center| environment will not
+% be centered, due to some deep \TeX\ magic that we don't
+% need to go into here. Wrap the equation up in
+% |\problembox|, however, with the |basicarith| equation as
+% the only element, and it will work just fine:
+%
+% \begin{center}
+% \problembox{%
+% \carryline{4}{{3}{\strike{18}17}}
+% \probline{4}{548}%
+% \opline{$-$}{29}%
+% \soluline{519}%
+% }%
+% \end{center}
+%
+%
+% \section{Configuration Commands}
+%
+% There are a variety of other bits and pieces of
+% |basicarith| that can be customized. The width of
+% solution line is held in the macro
+% \DescribeMacro{\b@solverulewidth}|\b@solverulewidth|. As
+% implied by the \@ in its name, this is considered an
+% ``internal'' command, but with |\makeatletter| and
+% |\makeatother| it can still be reset by a user, to values
+% reasonable or ridiculous. For example,
+% |\b@solverulewidth=2pt| (or
+% |\setlength{\b@solverulewidth}{2pt}|) gives:
+%
+% \bigskip
+% \makeatletter\b@solverulewidth=2pt\makeatother
+% \hbox to\linewidth{\hfil%
+% \problembox{
+% \probline{3}{44}
+% \opline{$+$}{44}
+% }\hfil}
+% \makeatletter\b@solverulewidth=0.4pt\makeatother
+% \bigskip
+%
+% The longdivision equivalent is
+% \DescribeMacro{\b@longdivlinewidth}|\b@longdivlinewidth|;
+% setting it equal to 2pt gives:
+%
+% \bigskip
+% \makeatletter\b@longdivlinewidth=2pt\makeatother
+% \hbox to\linewidth{\hfil%
+% \problembox{\longdiv{4}{3298}{24}}
+% \hfil}%
+% \makeatletter\b@longdivlinewidth=0.4pt\makeatother
+% \bigskip
+%
+% Both of these values are the \TeX-default 0.4pt unless
+% changed by the user.
+%
+% For adminstrative reasons, the sizes of problems are
+% limited both in number of \emph{rows} and in number of
+% \emph{columns}. The parameters controlling these things
+% are, unsurprisingly,
+% \DescribeMacro{\b@maxcols}|\b@maxcols| and
+% \DescribeMacro{\b@maxrows}|\b@maxrows|. Both of these are
+% set at twenty to begin with, which ought to be more than
+% enough; but they can be changed if needed.
+%
+% By default, when a remainder is displayed in a long
+% division problem, it is prefixed by ``R,'' in the American
+% custom. If you'd like something different, you can
+% redefine
+% \DescribeMacro{\b@remaindertext}|\b@remaindertext|; its
+% contents will be printed instead.
+%
+% When doing long division, sometimes work is shown in a
+% more explicit way. In addition to writing intermediate
+% solutions beneath the appropriate digits of the dividend,
+% we often show visibly how digits are ``dropped'' from the
+% dividend into those intermediate problems, by drawing an
+% arrow down from those digits to the appropriate place.
+% With |basicarith|, we do this by issuing the
+% \DescribeMacro{\showdivwork}|\showdivwork|, and turn it
+% off with \DescribeMacro{\noshowdivwork}|\noshowdivwork|.
+% Showing work is turned \emph{on} by default.
+%
+% \def\fractionsymbol{.}
+% \bigskip
+% \hbox to\linewidth{%
+% \hfil%
+% \hbox to0.5\linewidth{\vbox{%
+% \begin{spverbatim}
+% \showdivwork
+% \longdiv{6}{430.932}{983}
+% \ldsoluline{837.61}{4}
+% \nextldline{3}{43}
+% \nextldline{2}{4389}
+% \end{spverbatim}}
+% }\hfil%
+% \problembox{%
+% \showdivwork
+% \longdiv{6}{430.932}{983}
+% \ldsoluline{837.61}{4}
+% \nextldline{1}{40}
+% \nextldline{2}{69}
+% \nextldline{3}{73}
+% \nextldline{4}{22}
+% }%
+% \hfil%
+% }
+% \bigskip
+%
+% These settings can also be set globally for the package at
+% loading time, with the package options
+% \DescribeMacro{noshowdivwork}|noshowdivwork| and
+% \DescribeMacro{showdivwork}|showdivwork|. The latter is,
+% of course, the default.
+%
+% Incidentally, the last of these examples demonstrates
+% another configuration option:
+% \DescribeMacro{\fractionsymbol}|\fractionsymbol|. The
+% author is a dozenalist, and dozenalists customarily use a
+% semicolon as a fractional point; but most people are
+% decimalists, and usually use either a dot or a comma.
+% With |basicarith|, you can use any symbol you want; the
+% default is ``;'', but by redefining |\fractionsymbol|, you
+% can get anything else. The above was typeset with:
+%
+% \begin{center}
+% |\def\fractionsymbol{.}|
+% \end{center}
+%
+% \def\fractionsymbol{;}
+% The width of the box which encloses each digit is
+% controlled by a macro called
+% \DescribeMacro{\b@widthofdigit}|\b@widthofdigits|;
+% redefining this will result in different size digit boxes.
+% The following two lines show this macro set at 3ex and
+% 1ex, respectively.
+%
+% \bigskip
+% \hbox to\linewidth{%
+% \hfil%
+% \makeatletter\def\b@widthofdigit{3ex}\probline{4}{24;56}\makeatother
+% \hfil%
+% }
+% \bigskip
+% \hbox to\linewidth{%
+% \hfil%
+% \makeatletter\def\b@widthofdigit{1ex}\probline{4}{24;56}\makeatother
+% \hfil%
+% }
+% \def\b@widthofdigit{2ex}
+%
+% The default for this setting is 2ex. Note that this is a
+% macro, not a dimen; change it using |\def| or
+% |\renewcommand|, not with |\setlength|.
+%
+% \section{Implementation}
+%
+% We begin by defining the necessary conditional for
+% determining whether long division work should be shown
+% (that is, whether to draw drop arrows), and then defining
+% and processing the package options.
+% \begin{macrocode}
+\newif\ifshowdivisionwork % switch for drop arrows
+\showdivisionworktrue
+\DeclareOption{noshowdivwork}{\showdivisionworkfalse}
+\DeclareOption{showdivwork}{\showdivisionworktrue}
+\ProcessOptions
+% \end{macrocode}
+% We move on by defining the many dimensions and counters that
+% are required to typeset basic arithmetic problems. Most
+% of these are described afterward by a comment. First, we
+% define those which rarely change; think limitations on the
+% numbers of rows and columns; in the documentation we call
+% these ``configuration options.''
+% \begin{macrocode}
+\newdimen\b@solverulewidth % rule under the operator line
+\b@solverulewidth=0.4pt
+\newcount\b@maxcols % maximum length of a problem
+\b@maxcols=20
+\newcount\b@maxrows % maximum lines of a problem
+\b@maxrows=20
+\newdimen\b@longdivlinewidth % width of above
+\def\fractionsymbol{;}
+% \end{macrocode}
+% Next, we define those variables which change frequently;
+% these are the counters that keep track of which row and
+% column we're on and things of that nature.
+% \begin{macrocode}
+\newdimen\b@topdivline % length of the above
+\newdimen\b@totalprobwid % width of widest line of problem
+\newdimen\b@digitwid % width of a digit
+\def\b@widthofdigit{2ex}
+\newcount\b@colnum % row number of problem
+\b@colnum=0%
+\def\specialdigitstyle{} % style for a given digit
+\def\speciallinestyle{} % style for a given digit
+\b@longdivlinewidth=0.4pt
+\newdimen\b@parenfontsize % size of parenthesis in longdiv
+\newcount\b@linenum % row number of problem
+\newdimen\b@divisorlen % length of divisor
+\newdimen\b@divparenlen % width of the paren in ld
+\newdimen\b@ldrowlen % length to add to b@divisorlen
+\newdimen\b@fulldivlen % length of divisor + dividend
+\b@fulldivlen=0pt
+\newcount\b@charcount % number of chars in an argument
+\b@charcount=0
+\newcount\b@loopi % generic loop counter
+\b@loopi=0
+\def\b@remaindertext{R} % text for the remainder
+\newdimen\b@droparrowlen % drop arrow length
+\b@droparrowlen=0pt
+% \end{macrocode}
+% Now we define the macros that are used for counting the
+% number of characters in various strings; these are adapted
+% from macros by ``Florent'' at \url{tex-and-stuff.blogspot.com}.
+% \begin{macrocode}
+\def\gobblechar{\let\char= }
+\def\assignthencheck{\afterassignment\checknil\gobblechar}
+\def\countunlessnil{%
+ \ifx\char\nil \let\next=\relax%
+ \else%
+ \let\next=\auxcountchar%
+ \advance\b@charcount by1%
+ \fi%
+ \ifx\char; \advance\b@charcount by-1\fi%
+ \next%
+}%
+\def\auxcountchar{%
+ \afterassignment\countunlessnil\gobblechar%
+}%
+\def\countchar#1{\edef\xx{#1}\b@charcount=0 \expandafter\auxcountchar\xx\nil}
+% \end{macrocode}
+% Now we define some macros for splitting a string into
+% individual characters and putting them in boxes; these are
+% adapted from David Carlisle's answer on
+% \url{tex.stackexchange.com}, question 57598.
+% \begin{macrocode}
+\def\b@expandloop#1{%
+ \hbox{%
+ \b@xloop#1\relax
+ }%
+}
+\def\b@xloop#1{%
+ \if#1\fractionsymbol\else\advance\b@colnum by-1\fi%
+ \ifx\relax#1%
+ \else%
+ \if#1\fractionsymbol%
+ \rlap{\hbox to0pt{\hss#1\hss}}%
+ \else%
+ \hbox to\b@digitwid{\hfil{%
+ \csname
+ speciallinestyle\romannumeral\b@linenum\endcsname%
+ \csname
+ specialdigitstyle\romannumeral\b@colnum\endcsname#1}\hfil}%
+ \fi%
+ \expandafter\b@xloop%
+ \fi%
+}
+\def\b@spaceout#1{%
+ \countchar{#1}%
+ \b@colnum=\b@charcount%
+ \advance\b@colnum by1%
+ \b@expandloop{#1}%
+}%
+% \end{macrocode}
+% Now we define our macros for non-long-division problems.
+% \begin{macrocode}
+\def\probline#1#2{%
+ \advance\b@linenum by1%
+ \b@digitwid=\b@widthofdigit%
+ \b@totalprobwid=\b@digitwid%
+ \multiply\b@totalprobwid by#1%
+ \hbox to\b@totalprobwid{%
+ \hfil\b@spaceout{#2}%
+ }%
+}%
+\def\opline#1#2{%
+ \advance\b@linenum by1%
+ \hbox{%
+ \hbox to\b@digitwid{\hfil#1}%
+ \advance\b@totalprobwid by-\b@digitwid%
+ \hbox to\b@totalprobwid{%
+ \hfil\b@spaceout{#2}%
+ }%
+ }%
+ \vskip0.5ex%
+ \hrule width\b@totalprobwid height\b@solverulewidth%
+ \vskip0.5ex%
+}%
+\def\noopline#1{%
+ \opline{}{#1}%
+}%
+\def\nextpline#1{%
+ \advance\b@linenum by1%
+ \hbox{%
+ \hbox to\b@totalprobwid{%
+ \hfil\b@spaceout{#1}%
+ }%
+ }%
+}%
+\def\soluline#1{%
+ \advance\b@linenum by1%
+ \hbox{%
+ \hbox to\b@totalprobwid{%
+ \hfil\b@spaceout{#1}%
+ }%
+ }%
+ \b@linenum=0%
+}%
+\def\carryline#1#2{%
+ {%
+ \advance\b@linenum by1%
+ \b@digitwid=\b@widthofdigit%
+ \b@totalprobwid=\b@digitwid%
+ \multiply\b@totalprobwid by#1%
+ \footnotesize%
+ \hbox to\b@totalprobwid{%
+ \hfil\b@spaceout{#2}%
+ }%
+ \hrule width\b@totalprobwid height0pt%
+ \vskip0.4em%
+ }%
+}
+% \end{macrocode}
+% Now we proceed to define the macros for long division.
+% \begin{macrocode}
+\def\longdiv#1#2#3{%
+ \advance\b@linenum by1%
+ \vskip\baselineskip%
+ \b@digitwid=\b@widthofdigit%
+ \b@topdivline=\b@digitwid%
+ \settowidth{\b@divisorlen}{\b@spaceout{#3}}
+ \b@parenfontsize=\f@size pt%
+ \multiply\b@parenfontsize by12%
+ \divide\b@parenfontsize by10%
+ \settowidth{\b@divparenlen}{%
+ \fontsize{\b@parenfontsize}{\b@parenfontsize}\selectfont)}%
+ \multiply\b@topdivline by#1%
+ \advance\b@topdivline by0.5\b@digitwid%
+ \vskip0.5ex%
+ \vbox{%
+ \hbox{%
+ \hskip\b@divisorlen%
+ \vrule width\b@topdivline height\b@longdivlinewidth%
+ }%
+ \nointerlineskip%
+ \hbox{%
+ \b@spaceout{#3}%
+ \hfil{\fontsize{\b@parenfontsize}{\b@parenfontsize}\selectfont)}%
+ \b@spaceout{#2}%
+ }%
+ }%
+ \advance\b@divisorlen by\b@divparenlen%
+}%
+
+\def\ldsoluline#1#2{%
+ \advance\b@fulldivlen by\b@divisorlen%
+ \advance\b@fulldivlen by\b@topdivline%
+ \advance\b@fulldivlen by-\b@digitwid%
+ \advance\b@fulldivlen by\b@divparenlen%
+ \vskip-2\baselineskip%
+ \hbox to\b@fulldivlen{%
+ \hfil%
+ \b@spaceout{#1}%
+ \if#2\relax\else\rlap{\hskip1em \b@remaindertext{ }#2}\fi%
+ }%
+ \vskip\baselineskip%
+}%
+% get the width of a box
+\newdimen\b@droparrowwidth
+\def\getdroparrowwidth{%
+ \setbox\@tempboxa\hbox{$\downarrow$}%
+ \b@droparrowwidth=\wd\@tempboxa%
+}%
+% subsequent long division line; first is number of digits
+% of the dividend to cut off, second is number
+\def\nextldline#1#2{%
+ \advance\b@linenum by1%
+ \b@ldrowlen=\b@digitwid%
+ \multiply\b@ldrowlen by#1%
+ \hbox{%
+ \hskip\b@divisorlen%
+ \hskip\b@ldrowlen%
+ \b@spaceout{#2}%
+ \b@droparrowlen=\baselineskip%
+ \ifshowdivisionwork%
+ \ifnum\b@linenum>2%
+ \getdroparrowwidth%
+ \multiply\b@droparrowlen by\b@linenum%
+ \advance\b@droparrowlen by-2\baselineskip%
+ \hskip-0.5\b@digitwid%
+ \vtop{\vskip-\baselineskip\vskip-\b@droparrowlen%
+ \rlap{%
+ \vrule width0.4pt height\b@droparrowlen%
+ \hskip-0.5\b@droparrowwidth{$\downarrow$}%
+ }
+ }%
+ \fi%
+ \fi%
+ }%
+}%
+
+% style lines of digits; user-level command; first arg is
+% row number, second is style
+\def\linestyle#1#2{%
+ \b@loopi=0%
+ \loop\ifnum\the\b@loopi<\the\b@maxrows%
+ \advance\b@loopi by1%
+ \ifnum#1=\the\b@loopi
+ \expandafter\def\csname speciallinestyle\romannumeral\b@loopi\endcsname{#2}%
+ \fi
+ \repeat
+}%
+
+% style individual digits; user-level command; first arg is
+% column number, second is style
+\def\digstyle#1#2{%
+ \b@loopi=0%
+ \loop\ifnum\the\b@loopi<\the\b@maxcols%
+ \advance\b@loopi by1%
+ \ifnum#1=\the\b@loopi
+ \expandafter\def\csname specialdigitstyle\romannumeral\b@loopi\endcsname{#2}%
+ \fi
+ \repeat
+}%
+% called to reset all the special line formatting
+\def\clearlinestyles{%
+ \b@loopi=0%
+ \loop\ifnum\the\b@loopi<\the\b@maxrows%
+ \advance\b@loopi by1%
+ \expandafter\def\csname speciallinestyle\romannumeral\b@loopi\endcsname{}%
+ \repeat
+}%
+% called to reset all the special digit commands
+\def\cleardigitstyles{%
+ \b@loopi=0%
+ \loop\ifnum\the\b@loopi<\the\b@maxcols%
+ \advance\b@loopi by1%
+ \expandafter\def\csname specialdigitstyle\romannumeral\b@loopi\endcsname{}%
+ \repeat
+}%
+
+% simple problem box; unites a problem
+\def\problembox#1{%
+ \leavevmode\vbox{#1}%
+}%
+% for striking out carries or borrowing
+\def\strike#1{%
+ {\rlap{\bf---}#1}%
+}
+% for showing division work
+\def\showdivwork{%
+ \showdivisionworktrue%
+}
+\def\noshowdivwork{%
+ \showdivisionworkfalse%
+}
+\cleardigitstyles
+% \end{macrocode}
+
+% \PrintIndex
diff --git a/Master/texmf-dist/source/latex/basicarith/basicarith.ins b/Master/texmf-dist/source/latex/basicarith/basicarith.ins
new file mode 100644
index 00000000000..7c8f9215b59
--- /dev/null
+++ b/Master/texmf-dist/source/latex/basicarith/basicarith.ins
@@ -0,0 +1,65 @@
+% +AMDG This document was begun on 9 October 11EX, the
+% feast of St. John Leonard, C, St Denis, E, St. Rusticus,
+% S, and Eleutherius, MM; and it is humbly dedicated to them
+% and to the Immaculate Heart of Mary for their prayers, and
+% to the Sacred Heart of Jesus for His mercy.
+%
+% This document is copyright 2014 by Donald P. Goodman, and is
+% released publicly under the LaTeX Project Public License. The
+% distribution and modification of this work is constrained by the
+% conditions of that license. See
+% http://www.latex-project.org/lppl.txt
+% for the text of the license. This document is released
+% under version 1.3 of that license, and this work may be distributed
+% or modified under the terms of that license or, at your option, any
+% later version.
+%
+% This work has the LPPL maintenance status 'maintained'.
+%
+% The Current Maintainer of this work is Donald P. Goodman
+% (dgoodmaniii@gmail.com).
+%
+% This work consists of basicarith.dtx, basicarith.ins, and
+% derived files basicarith.sty and basicarith.pdf.
+
+\input docstrip.tex
+
+\preamble
+This is a generated file.
+
+This document is copyright 2014 by Donald P. Goodman, and is
+released publicly under the LaTeX Project Public License. The
+distribution and modification of this work is constrained by the
+conditions of that license. See
+ http://www.latex-project.org/lppl.txt
+for the text of the license. This document is released
+under version 1.3 of that license, and this work may be distributed
+or modified under the terms of that license or, at your option, any
+later version.
+
+This work has the LPPL maintenance status 'maintained'.
+
+The Current Maintainer of this work is Donald P. Goodman
+(dgoodmaniii@gmail.com).
+
+This work consists of basicarith.dtx, basicarith.ins, and
+derived files basicarith.sty and basicarith.pdf.
+\endpreamble
+
+\keepsilent
+\generate{\file{basicarith.sty}{\from{basicarith.dtx}{package}}}
+
+\Msg{******************************************************}
+\Msg{*}
+\Msg{* To finish the installation you have to move the}
+\Msg{* following file into a directory searched by TeX:}
+\Msg{*}
+\Msg{* \space\space basicarith.sty}
+\Msg{*}
+\Msg{* To produce the documentation run the file basicarith.dtx}
+\Msg{* through LaTeX.}
+\Msg{*}
+\Msg{* Happy TeXing!}
+\Msg{******************************************************}
+
+\endbatchfile
diff --git a/Master/texmf-dist/tex/latex/basicarith/basicarith.sty b/Master/texmf-dist/tex/latex/basicarith/basicarith.sty
new file mode 100644
index 00000000000..a91f1328e94
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/basicarith/basicarith.sty
@@ -0,0 +1,287 @@
+%%
+%% This is file `basicarith.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% basicarith.dtx (with options: `package')
+%% This is a generated file.
+%%
+%% This document is copyright 2014 by Donald P. Goodman, and is
+%% released publicly under the LaTeX Project Public License. The
+%% distribution and modification of this work is constrained by the
+%% conditions of that license. See
+%% http://www.latex-project.org/lppl.txt
+%% for the text of the license. This document is released
+%% under version 1.3 of that license, and this work may be distributed
+%% or modified under the terms of that license or, at your option, any
+%% later version.
+%%
+%% This work has the LPPL maintenance status 'maintained'.
+%%
+%% The Current Maintainer of this work is Donald P. Goodman
+%% (dgoodmaniii@gmail.com).
+%%
+%% This work consists of basicarith.dtx, basicarith.ins, and
+%% derived files basicarith.sty and basicarith.pdf.
+
+\NeedsTeXFormat{LaTeX2e}[1999/12/01]
+\ProvidesPackage{basicarith}[2015/01/01 v1.0 support for typesetting basic arithmetic in the American fashion]
+\newif\ifshowdivisionwork % switch for drop arrows
+\showdivisionworktrue
+\DeclareOption{noshowdivwork}{\showdivisionworkfalse}
+\DeclareOption{showdivwork}{\showdivisionworktrue}
+\ProcessOptions
+\newdimen\b@solverulewidth % rule under the operator line
+\b@solverulewidth=0.4pt
+\newcount\b@maxcols % maximum length of a problem
+\b@maxcols=20
+\newcount\b@maxrows % maximum lines of a problem
+\b@maxrows=20
+\newdimen\b@longdivlinewidth % width of above
+\def\fractionsymbol{;}
+\newdimen\b@topdivline % length of the above
+\newdimen\b@totalprobwid % width of widest line of problem
+\newdimen\b@digitwid % width of a digit
+\def\b@widthofdigit{2ex}
+\newcount\b@colnum % row number of problem
+\b@colnum=0%
+\def\specialdigitstyle{} % style for a given digit
+\def\speciallinestyle{} % style for a given digit
+\b@longdivlinewidth=0.4pt
+\newdimen\b@parenfontsize % size of parenthesis in longdiv
+\newcount\b@linenum % row number of problem
+\newdimen\b@divisorlen % length of divisor
+\newdimen\b@divparenlen % width of the paren in ld
+\newdimen\b@ldrowlen % length to add to b@divisorlen
+\newdimen\b@fulldivlen % length of divisor + dividend
+\b@fulldivlen=0pt
+\newcount\b@charcount % number of chars in an argument
+\b@charcount=0
+\newcount\b@loopi % generic loop counter
+\b@loopi=0
+\def\b@remaindertext{R} % text for the remainder
+\newdimen\b@droparrowlen % drop arrow length
+\b@droparrowlen=0pt
+\def\gobblechar{\let\char= }
+\def\assignthencheck{\afterassignment\checknil\gobblechar}
+\def\countunlessnil{%
+\ifx\char\nil \let\next=\relax%
+\else%
+\let\next=\auxcountchar%
+\advance\b@charcount by1%
+\fi%
+\ifx\char; \advance\b@charcount by-1\fi%
+\next%
+}%
+\def\auxcountchar{%
+\afterassignment\countunlessnil\gobblechar%
+}%
+\def\countchar#1{\edef\xx{#1}\b@charcount=0 \expandafter\auxcountchar\xx\nil}
+\def\b@expandloop#1{%
+\hbox{%
+\b@xloop#1\relax
+}%
+}
+\def\b@xloop#1{%
+\if#1\fractionsymbol\else\advance\b@colnum by-1\fi%
+\ifx\relax#1%
+\else%
+\if#1\fractionsymbol%
+\rlap{\hbox to0pt{\hss#1\hss}}%
+\else%
+\hbox to\b@digitwid{\hfil{%
+\csname
+speciallinestyle\romannumeral\b@linenum\endcsname%
+\csname
+specialdigitstyle\romannumeral\b@colnum\endcsname#1}\hfil}%
+\fi%
+\expandafter\b@xloop%
+\fi%
+}
+\def\b@spaceout#1{%
+\countchar{#1}%
+\b@colnum=\b@charcount%
+\advance\b@colnum by1%
+\b@expandloop{#1}%
+}%
+\def\probline#1#2{%
+\advance\b@linenum by1%
+\b@digitwid=\b@widthofdigit%
+\b@totalprobwid=\b@digitwid%
+\multiply\b@totalprobwid by#1%
+\hbox to\b@totalprobwid{%
+\hfil\b@spaceout{#2}%
+}%
+}%
+\def\opline#1#2{%
+\advance\b@linenum by1%
+\hbox{%
+\hbox to\b@digitwid{\hfil#1}%
+\advance\b@totalprobwid by-\b@digitwid%
+\hbox to\b@totalprobwid{%
+\hfil\b@spaceout{#2}%
+}%
+}%
+\vskip0.5ex%
+\hrule width\b@totalprobwid height\b@solverulewidth%
+\vskip0.5ex%
+}%
+\def\noopline#1{%
+\opline{}{#1}%
+}%
+\def\nextpline#1{%
+\advance\b@linenum by1%
+\hbox{%
+\hbox to\b@totalprobwid{%
+\hfil\b@spaceout{#1}%
+}%
+}%
+}%
+\def\soluline#1{%
+\advance\b@linenum by1%
+\hbox{%
+\hbox to\b@totalprobwid{%
+\hfil\b@spaceout{#1}%
+}%
+}%
+\b@linenum=0%
+}%
+\def\carryline#1#2{%
+{%
+\advance\b@linenum by1%
+\b@digitwid=\b@widthofdigit%
+\b@totalprobwid=\b@digitwid%
+\multiply\b@totalprobwid by#1%
+\footnotesize%
+\hbox to\b@totalprobwid{%
+\hfil\b@spaceout{#2}%
+}%
+\hrule width\b@totalprobwid height0pt%
+\vskip0.4em%
+}%
+}
+\def\longdiv#1#2#3{%
+\advance\b@linenum by1%
+\vskip\baselineskip%
+\b@digitwid=\b@widthofdigit%
+\b@topdivline=\b@digitwid%
+\settowidth{\b@divisorlen}{\b@spaceout{#3}}
+\b@parenfontsize=\f@size pt%
+\multiply\b@parenfontsize by12%
+\divide\b@parenfontsize by10%
+\settowidth{\b@divparenlen}{%
+\fontsize{\b@parenfontsize}{\b@parenfontsize}\selectfont)}%
+\multiply\b@topdivline by#1%
+\advance\b@topdivline by0.5\b@digitwid%
+\vskip0.5ex%
+\vbox{%
+\hbox{%
+\hskip\b@divisorlen%
+\vrule width\b@topdivline height\b@longdivlinewidth%
+}%
+\nointerlineskip%
+\hbox{%
+\b@spaceout{#3}%
+\hfil{\fontsize{\b@parenfontsize}{\b@parenfontsize}\selectfont)}%
+\b@spaceout{#2}%
+}%
+}%
+\advance\b@divisorlen by\b@divparenlen%
+}%
+
+\def\ldsoluline#1#2{%
+\advance\b@fulldivlen by\b@divisorlen%
+\advance\b@fulldivlen by\b@topdivline%
+\advance\b@fulldivlen by-\b@digitwid%
+\advance\b@fulldivlen by\b@divparenlen%
+\vskip-2\baselineskip%
+\hbox to\b@fulldivlen{%
+\hfil%
+\b@spaceout{#1}%
+\if#2\relax\else\rlap{\hskip1em \b@remaindertext{ }#2}\fi%
+}%
+\vskip\baselineskip%
+}%
+\newdimen\b@droparrowwidth
+\def\getdroparrowwidth{%
+\setbox\@tempboxa\hbox{$\downarrow$}%
+\b@droparrowwidth=\wd\@tempboxa%
+}%
+\def\nextldline#1#2{%
+\advance\b@linenum by1%
+\b@ldrowlen=\b@digitwid%
+\multiply\b@ldrowlen by#1%
+\hbox{%
+\hskip\b@divisorlen%
+\hskip\b@ldrowlen%
+\b@spaceout{#2}%
+\b@droparrowlen=\baselineskip%
+\ifshowdivisionwork%
+\ifnum\b@linenum>2%
+\getdroparrowwidth%
+\multiply\b@droparrowlen by\b@linenum%
+\advance\b@droparrowlen by-2\baselineskip%
+\hskip-0.5\b@digitwid%
+\vtop{\vskip-\baselineskip\vskip-\b@droparrowlen%
+\rlap{%
+\vrule width0.4pt height\b@droparrowlen%
+\hskip-0.5\b@droparrowwidth{$\downarrow$}%
+}
+}%
+\fi%
+\fi%
+}%
+}%
+
+\def\linestyle#1#2{%
+\b@loopi=0%
+\loop\ifnum\the\b@loopi<\the\b@maxrows%
+\advance\b@loopi by1%
+\ifnum#1=\the\b@loopi
+\expandafter\def\csname speciallinestyle\romannumeral\b@loopi\endcsname{#2}%
+\fi
+\repeat
+}%
+
+\def\digstyle#1#2{%
+\b@loopi=0%
+\loop\ifnum\the\b@loopi<\the\b@maxcols%
+\advance\b@loopi by1%
+\ifnum#1=\the\b@loopi
+\expandafter\def\csname specialdigitstyle\romannumeral\b@loopi\endcsname{#2}%
+\fi
+\repeat
+}%
+\def\clearlinestyles{%
+\b@loopi=0%
+\loop\ifnum\the\b@loopi<\the\b@maxrows%
+\advance\b@loopi by1%
+\expandafter\def\csname speciallinestyle\romannumeral\b@loopi\endcsname{}%
+\repeat
+}%
+\def\cleardigitstyles{%
+\b@loopi=0%
+\loop\ifnum\the\b@loopi<\the\b@maxcols%
+\advance\b@loopi by1%
+\expandafter\def\csname specialdigitstyle\romannumeral\b@loopi\endcsname{}%
+\repeat
+}%
+
+\def\problembox#1{%
+\leavevmode\vbox{#1}%
+}%
+\def\strike#1{%
+{\rlap{\bf---}#1}%
+}
+\def\showdivwork{%
+\showdivisionworktrue%
+}
+\def\noshowdivwork{%
+\showdivisionworkfalse%
+}
+\cleardigitstyles
+
+\endinput
+%%
+%% End of file `basicarith.sty'.