diff options
Diffstat (limited to 'Master/texmf-dist')
-rw-r--r-- | Master/texmf-dist/doc/latex/basicarith/CHANGES | 2 | ||||
-rw-r--r-- | Master/texmf-dist/doc/latex/basicarith/README | 33 | ||||
-rw-r--r-- | Master/texmf-dist/doc/latex/basicarith/basicarith.pdf | bin | 0 -> 211857 bytes | |||
-rw-r--r-- | Master/texmf-dist/doc/latex/basicarith/lppl.txt | 416 | ||||
-rw-r--r-- | Master/texmf-dist/source/latex/basicarith/basicarith.dtx | 963 | ||||
-rw-r--r-- | Master/texmf-dist/source/latex/basicarith/basicarith.ins | 65 | ||||
-rw-r--r-- | Master/texmf-dist/tex/latex/basicarith/basicarith.sty | 287 |
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 Binary files differnew file mode 100644 index 00000000000..2ae377f3098 --- /dev/null +++ b/Master/texmf-dist/doc/latex/basicarith/basicarith.pdf 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'. |