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+%\iffalse
+%<*copyright>
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%% Acroflex.sty package, %%
+%% Copyright (C) 2008 -- 2016 D. P. Story %%
+%% dpstory@acrotex.net %%
+%% %%
+%% This program can redistributed and/or modified under %%
+%% the terms of the LaTeX Project Public License %%
+%% Distributed from CTAN archives in directory %%
+%% macros/latex/base/lppl.txt; either version 1 of the %%
+%% License, or (at your option) any later version. %%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%</copyright>
+%<package>\NeedsTeXFormat{LaTeX2e}[1997/12/01]
+%<package>\ProvidesPackage{acroflex}
+%<package> [2016/08/29 v1.6c AcroFLeX: AcroTeX and Adobe Flex (dps)]
+%<*driver>
+\documentclass{ltxdoc}
+\usepackage[colorlinks,hyperindex]{hyperref}
+\begin{document}
+\def\AcroFLeX{AcroF\kern-.1667em\lower.5ex\hbox{L}\kern-.3eme\kern-.125emX\@}
+ \GetFileInfo{acroflex.sty}
+ \title{%
+ \texorpdfstring
+ {\AcroFLeX: Merging {Acro\negthinspace\TeX} and FLEX}
+ {AcroFLeX: Merging AcroTeX and FLEX}}
+ \author{D. P. Story\\
+ Email: \texttt{dpstory@acrotex.net}}
+ \date{processed \today}
+ \maketitle
+ \tableofcontents
+ \let\Email\texttt
+ \DocInput{acroflex.dtx}
+ \PrintIndex
+\end{document}
+%</driver>
+% \fi
+% \MakeShortVerb{|}
+% \StopEventually{}
+%
+% \DoNotIndex{\def,\edef,\gdef,\xdef,\global,\long,\let}
+% \DoNotIndex{\expandafter,\string,\the,\ifx,\else,\fi}
+% \DoNotIndex{\csname,\endcsname,\relax,\begingroup,\endgroup}
+% \DoNotIndex{\DeclareTextCommand,\DeclareTextCompositeCommand}
+% \DoNotIndex{\space,\@empty,\special}
+%
+% \begin{macrocode}
+%<*package>
+% \end{macrocode}
+%
+% \section{Introduction}
+%
+% The word \textbf{\AcroFLeX} is meant to convey a merging of two computer technologies:
+% \begin{itemize}
+% \item \textbf{Acro}: connotes both \textbf{Adobe Acrobat} (\textbf{Adobe Reader})
+% and \textbf{{Acro\negthinspace\TeX}} (as in the
+% \textbf{{Acro\negthinspace\TeX} eDucation Bundle} or, just \textbf{AeB}).
+% \item \textbf{F\kern-.1667em\lower.5ex\hbox{L}\kern-.3eme\kern-.125emX\@}: connotes
+% \textbf{Adobe FLEX 3}. FLEX 3 is used to create SWF files to interact with the user.
+% In the case of graphing, plotting information is passed from Acrobat, via JavaScript,
+% to the Flash widget. ActionScript receives the data, plots the points, and
+% connects them with a smooth curve or a straight line segment.
+% \end{itemize}
+% Acrobat 9 Pro introduces the rich media annotation which plays FLV movies
+% and SWF files natively. Acrobat also provides a scripting bridge
+% between JavaScript for Acrobat, and ActionScript, the scripting
+% language of Flash player. This bridge enables the PDF and the
+% Flash widget, embedded in the rich media annotation, to communicate. The scripting bridge
+% opens up wonderful opportunities for application to the education
+% sector. The graphing of {\AcroFLeX} is one such application of the new
+% PDF-Flash connection to education.
+%
+% \textbf{{\AcroFLeX}} uses the commercial product Adobe FLEX Builder~3 and
+% FLEX~3 SDK to produce Flash widgets, and the AeB
+% to create PDF documents with appropriate JavaScript to communicate
+% with the Flash widget. FLEX Builder~3 is currently free for students
+% and educators, the FLEX 3 SDK is free to all.
+%
+% This style file defines some basic controls for
+% \textbf{{\AcroFLeX} Graphing} for controlling graphical SWF files
+% for graphing.
+%
+% These commands are general {\LaTeX} commands, that require no special driver, so
+% they can be used by, for example, pdftex; however, we use SWF files to produce
+% the graphing screen with the built-in ActionScript to communicate with the PDF.
+% For this, you will need Acrobat 9 Pro. In that case, you might as well use the
+% Acrobat Distiller to produce your PDF, but it is not necessary.
+%
+% \medskip\noindent
+% Let's begin with a declaration of the {\AcroFLeX} logo.
+% \begin{macrocode}
+\RequirePackage{rmannot}[2016/02/01]
+% \end{macrocode}
+%\changes{v1.6}{2015/10/13}{Save catcodes of subscript and superscript, both
+% of these are used in ordinary characters in the file.}
+% Change catcodes of subscript and superscript to other.
+% \begin{macrocode}
+\edef\af@subscriptCat{\the\catcode`\_}
+\edef\af@superscriptCat{\the\catcode`\^}
+\def\af@restoreCats{%
+ \catcode`\_=\af@subscriptCat
+ \catcode`\^=\af@superscriptCat
+}
+\catcode`\_=12\relax \catcode`\^=12\relax
+\def\AcroFLeX{%
+ AcroF\kern-.1667em\lower.5ex\hbox{L}\kern-.3eme\kern-.125emX\@}
+% \end{macrocode}
+% \begin{macro}{\pathToAcroFlex}
+% Set the path to {\AcroFLeX} widget, \texttt{AcroFlex.swf}, that actually does the
+% graphing.
+% \begin{macrocode}
+\newcommand{\pathToAcroFlex}[1]{\def\af@pathToAcroFlex{#1}%
+ \ifx\af@pathToAcroFlex\@empty
+ \PackageError{acroflex}{%
+ You must specify a full path to AcroFlex.swf}{}\else
+ \saveNamedPath{acroflexWidget}{\af@pathToAcroFlex/AcroFlex.swf}\fi
+}
+\def\af@pathToAcroFlex{}
+\@onlypreamble{\pathToAcroFlex}
+% \end{macrocode}
+% \end{macro}
+% \paragraph*{Define package options.}
+% \begin{macro}{lang}
+% We offer up a single package option, \texttt{lang}. The only languages supported
+% at this time are \texttt{english} and \texttt{german}. Additional languages may be supported in the
+% future.
+% \begin{macrocode}
+\define@choicekey*+{acroflex.sty}{lang}[\val\nr]{english,german}
+{%
+ \ifcase\nr\relax
+ \def\af@lang@type{afcustom_us.def}
+ \or
+ \def\af@lang@type{afcustom_de.def}
+ \else
+ \def\af@lang@type{afcustom.def}
+ \fi
+}{\PackageWarning{acroflex}{Bad choice for lang, permissible values
+are english and german. No lang key is equivalent to english. Try again}}
+\def\af@lang@type{afcustom.def}
+% \end{macrocode}
+% \end{macro}
+% \paragraph*{Process the options.}
+% We process our meager number of options here.
+% \begin{macrocode}
+\ProcessOptionsX
+% \end{macrocode}
+% \paragraph*{Input Configuration File.} At this point, we input the configuration file. The
+% major entry, and probably the only entry in this file is the \cs{pathToAcroFlex}. The file
+% should contain a line of code like this one:
+%\begin{verbatim}
+% \pathToAcroFlex{c:/acrotex/aebpro/acroflex/swf}
+%\end{verbatim}
+% \begin{macrocode}
+\InputIfFileExists{acroflex.cfg}{}{}
+% \end{macrocode}
+%
+% \section{Graphing a Single Function}
+%
+% This section describes the graphing screen and its controls.
+%
+% \subsection{Some Initial Parameters}
+%
+% Should you wish to use an {\AcroFLeX} graphic in your PDF, you will need to declare
+% several parameters for each graphic: \cs{dimScreenGraph} and \cs{graphName},
+% these are the rich media annotation dimensions, the rich media annot number of this annot
+% on this page, and a unique name (unique to the document) for the graph.
+%
+% You also need to declare a default function, if different from the one set by this package,
+% the default domain/range of $x$ and $y$ (the graph view window), and the default domain
+% of parameter equations (this last is options if no parametric equations are to be used).
+%
+% \paragraph{Setting the Dimensions of the Annotation}
+%
+% \begin{macro}{\dimScreenGraph}
+% This is a convenience command for storing the dimensions of the Flash widget. It assumes
+% you do not resize using \cs{resizebox} or \cs{scalebox}. The command defines two
+% commands available to the document author, these are \cs{hScreenGraph} and
+% \cs{vScreenGraph}, for the width and height respectively.
+% \begin{macrocode}
+\newcommand{\dimScreenGraph}[2]{{%
+ \setlength{\dimen@}{#1}\xdef\hScreenGraph{\the\dimen@}%
+ \setlength{\dimen@}{#2}\xdef\vScreenGraph{\the\dimen@}%
+}}
+% \end{macrocode}
+% \end{macro}
+%
+% \paragraph{Setting the Name of the Graph}
+%
+% \begin{macro}{\graphName}
+% Each graphing screen must have a unique (base)name, the name is specified
+% using the command \cs{graphName}; for example \verb!\graphName{mygraph}!
+% specifies the base name for the next graphing screen. This name is use
+% in creating the control for the graphing screen (a Flash widget).
+%
+% \begin{macrocode}
+\newcommand{\graphName}[1]{\def\afgraphName{#1}}
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\defaultFunction}
+% Declare the default function to appear in the \cs{fileInputField} on startup
+% or on reset. The function takes two arguments, the first is a display version of
+% the function, the second is a proper JavaScript form of the function. The default
+% is \verb!\defaultFunction{x^2}!
+% \begin{macrocode}
+\newcommand{\defaultFunction}[1]{\def\af@DefaultFunction{#1}}
+\defaultFunction{x^2}
+% \end{macrocode}
+% \end{macro}
+%
+% \paragraph{Setting the View Screen Dimensions: Range/Domain}
+%
+% \begin{macro}{\defaultDomRng}
+% \begin{macro}{\defaultDomP}
+% Set the default domain and range of the default function. These values will appear
+% on start-up, and when the graph is cleared.
+% \begin{macrocode}
+\def\defaultDomRng#1#2#3#4{%
+ \def\af@DefaultDomMin{#1}\def\af@DefaultDomMax{#2}%
+ \def\af@DefaultRngMin{#3}\def\af@DefaultRngMax{#4}%
+}
+\def\defaultDomP#1#2{%
+ \def\af@DefaultDomMint{#1}\def\af@DefaultDomMaxt{#2}%
+}
+% \end{macrocode}
+% We set the default domain and range to correspond with the
+% default function.
+% \begin{macrocode}
+\defaultDomRng{-2}{2}{0}{4}
+\defaultDomP{0}{2*PI}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \subsection{The Graphing Screen and its Controls}
+%
+% Here, we describe the graphing screen and its controls. The graphing screens and
+% its controls may be arranged on the page in any way the document author wishes.
+%
+% \subsubsection{The Graphing Screen}
+%
+% The graphing screen is the centerpiece of the {\AcroFLeX} graphing system.
+%
+% \begin{macro}{\graphScreen}
+%
+% The \cs{graphScreen} command is just the \cs{rmAnnot} command with the
+% fourth argument set to the \texttt{acroflexWidget}. The command takes
+% three parameters, each just passed to \cs{rmAnnot}: The first is optional
+% that sets the key-value pairs, an important one is \texttt{poster=afposter}
+% to get the famous \AcroFLeX{} logo inserted as the opster; the second
+% is the width; the third is the height. The widget resizes itself, so the choice
+% of the dimensions is up to the document author.
+%
+% If \cs{dimSreenGraph} is used then you can simply use the dimensions declared there;
+% for example,
+%\begin{verbatim}
+% \dimScreenGraph{186bp}{186bp*3/4}
+% ...
+% \graphScreen[poster=aflogo]{\hScreenGraph}{\vScreenGraph}
+%\end{verbatim}
+% Note the use of calculated height, three-fourths of the width. \cs{graphScreen} can be,
+% in turn, be resized using \cs{resizebox} or \cs{scalebox}.
+%
+% \begin{macrocode}
+\newcommand{\graphScreen}[3][]{\rmAnnot[#1,%
+ name=afRM\afgraphName]{#2}{#3}{acroflexWidget}}%
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\iconFloatGraphScreen}
+% Should you wish to create a graphing screen in a floating window, use the
+% \cs{iconFloatGraphScreen}. It takes three arguments, the first one is optional
+% and is passed to the first argument the underlying \cs{graphScreen}. A typical
+% first argument is a poster key value: \texttt{poster=aflogo}. The second two are
+% dimensions (width and height). We use \cs{resizebox} from the graphicx package.
+% The \cs{resizebox} can take an exclamation point (!) as its arguments, in this
+% case, the object will be resized to keep its aspect ratio. See the documentation
+% of \cs{resizebox} for more details. Below is an example,
+%\begin{verbatim}
+% \iconFloatGraphScreen[poster=aflogo]{40bp}{!}
+%\end{verbatim}
+% The rich media annotation has a transparent button on top of it. The poster of the annotation
+% can be see through the button. Pressing on the button activates, or deactivates the annotation.
+%
+% The default is not to allow the user to close the window or go into full screen mode, however
+% by executing\DescribeMacro{\allowFSFloatGS} \cs{allowFSFloatGS} before the
+% \cs{iconFloatGraphScreen} command, we allow for full screen, while
+% \DescribeMacro{\defaultFloatGS} \cs{defaultFloatGS} returns to the default state.
+% \begin{macrocode}
+\newcommand{\allowFSFloatGS}{\def\af@passcontext{\@gobble}}
+\newcommand{\defaultFloatGS}{\def\af@passcontext{passcontext}}
+% \end{macrocode}
+% We set the default value, we do no allow full screen.
+% \begin{macrocode}
+\defaultFloatGS
+% \end{macrocode}
+% Now for the \cs{iconFloatGraphScreen} command
+% \begin{macrocode}
+\newcommand{\iconFloatGraphScreen}[3][]{%
+ \makebox[0pt][l]{%
+ \resizebox{#2}{#3}{%
+% \end{macrocode}
+% Here is the graphing screen
+% \begin{macrocode}
+ \graphScreen[#1,windowed,\af@passcontext,deactivated=pageclose
+ ]{\hScreenGraph}{\vScreenGraph}}}%
+ \resizebox{#2}{#3}{%
+% \end{macrocode}
+% And the button that overlays it
+% \begin{macrocode}
+ \pushButton[\S{S}\H{N}\autoCenter{n}\W0\BG{}\BC{}
+ \TU{\tt@iconFloatGraphScreen}\A{\JS{%
+ var rm = this.getAnnotRichMedia(%
+ this.pageNum, "afRM\afgraphName");\r
+ rm.activated=!rm.activated;
+ }}]{float\afgraphName Btn-\therm@Cnt}{\hScreenGraph}
+ {\vScreenGraph}}%
+}
+\newcommand{\tticonFloatGraphScreen}[1]{%
+ \def\tt@iconFloatGraphScreen{#1}}
+\tticonFloatGraphScreen{Click to view graphing screen,
+ click again to hide graphing screen.}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{Various Controls}
+%
+% The graphing screen, obviously, graphs functions of the form $ y = f(x) $. The user
+% must have a way of entering the functional part, the $f(x)$. \cs{fileInputField}
+% is used for this purpose. The \cs{graphBtn} is used to graph the function, while
+% \cs{graphClrBtn} is used to clear the graph and deactivate the Flash widget.
+%
+% The domain of the variable $x$ is specified though the commands
+% \cs{domMin} and \cs{domMax}; while the range of values on
+% the $y$ axis is specified by \cs{rngMin} and \cs{rngMax}. The number of points
+% that are plotted can be specified through \cs{numPoints}.
+%
+% \paragraph{The Input Function.}
+% \begin{macro}{\funcInputField}
+% The parameters for all the above mentioned functions, with the exception of
+% \cs{afDefaultFunction}, take three parameters generally described below:
+%
+% \begin{enumerate}
+% \item[\texttt{[\#1]}:] optional arguments to modify appearance of the form field
+% \item[\texttt{\#2}:] the width of the form field
+% \item[\texttt{\#3}:] the height of the form field
+% \end{enumerate}
+% The definitions below use two new keys, \cs{nuDV} and \cs{nuV}, to avoid the use
+% of unicode when the unicode option of hyperref has been invoked. The initial and
+% default values of the function input field may contain symbols like \texttt{\string^}
+% that hyperref does not like and strips out. These two keys are also used in
+% \cs{functionSelect} below, for the same reason.
+% \begin{macrocode}
+\newcommand{\funcInputField}[3][]{\makebox[0pt][l]{%
+ \textField[%
+ \nuDV{\af@DefaultFunction}\nuV{\af@DefaultFunction}
+ \F{\FHidden}\Ff{\FfReadOnly}
+ ]{\afgraphName theHiddenFunction}{1bp}{1bp}}%
+ \textField[%
+ \BC{0 0 0}\nuDV{\af@DefaultFunction}\nuV{\af@DefaultFunction}
+ \TU{\tt@funcInputField}#1\AA{\AAFormat{%
+ \formatFunctionInput{"\afgraphName theHiddenFunction"}}
+ \AAKeystroke{\keystrokeFunctionInput}
+ }%
+ ]{\afgraphName theFunction}{#2}{#3}%
+}
+\newcommand{\ttfuncInputField}[1]{%
+ \def\tt@funcInputField{#1}}
+\ttfuncInputField{Enter any of the following for expressions:\r
+\space\space1. A function of x of the form f(x);\r
+\space\space2. A polar function of t of the form f(t);\r
+\space\space3. A set of parametric functions of t of the form f(t);g(t)
+\r\space\space\space\space\space(separated by a semi-colon);\r
+\space\space4. A list of points, (a1,b1);(a2,b2);...;(an,bn)\r
+\space\space\space\space\space(separated by semi-colons).
+}
+% \end{macrocode}
+% I originally named the previous macro definition \cs{fileInputField}. My bad!
+% In case there is someone out there that uses this package, I'll let
+% \cs{fileInputField} to \cs{funcInputField}.
+% \begin{macrocode}
+\let\fileInputField\funcInputField
+% \end{macrocode}
+% \end{macro}
+% \begin{macro}{\formatFunctionInput}
+% \cs{formatFunctionInput} supplies format event for the
+% \cs{funcInputField}. Then the user enters a new function, the JavaScript function
+% \texttt{formatFunctionInput} executes \texttt{ParseInput} (from \textsf{exerquiz}), and places it
+% in the hidden function field.
+% \begin{macrocode}
+\def\formatFunctionInput#1{%
+ try{ formatFunctionInput(#1) } catch(e){};
+}
+\def\keystrokeFunctionInput{%
+ try{ keystrokeFunctionInput() } catch(e){};
+}
+% \end{macrocode}
+% \end{macro}
+% \paragraph{The Curve Select Combo Box.}
+% \begin{macro}{\functionSelect}
+% \begin{macro}{\initFuncSelect}
+% \begin{macro}{\savedelSelBtn}
+% This is an optional combo box for selecting curves and points to graph.
+% Note, this drop down list should not overlay the graphing widget, the widget
+% is on top, and the list cannot be seen.
+% \begin{macrocode}
+\newcommand{\afCurve}[1]{\def\afcurve{#1 }\def\afcurvei{#1}}
+\afCurve{Curve}
+\newcommand{\afPoint}[1]{\def\afpoint{#1 }\def\afploti{#1}}
+\afPoint{Point}
+\newcommand{\afUnused}[1]{\def\afunused{#1}}
+\afUnused{--unused}
+% \end{macrocode}
+% Any re-definitions should take place in the preamble only!
+% \begin{macrocode}
+\@onlypreamble\afCurve
+\@onlypreamble\afPoint
+\@onlypreamble\afUnused
+% \end{macrocode}
+% The listing of the drop-down menu. To begin with, there are eight
+% menu items: four for curves, and four for plotted points.
+% \begin{macrocode}
+\newcommand{\initFuncSelect}[1]{\def\af@initializeFuncSelect{#1}}
+\initFuncSelect{%
+ [(\af@DefaultFunction)(\afcurve1)]%
+ [(<\afcurve2\afunused>)(\afcurve2)]%
+ [(<\afcurve3\afunused>)(\afcurve3)]%
+ [(<\afcurve4\afunused>)(\afcurve4)]%
+ [(<\afpoint1\afunused>)(\afpoint1)]%
+ [(<\afpoint2\afunused>)(\afpoint2)]%
+ [(<\afpoint3\afunused>)(\afpoint3)]%
+ [(<\afpoint4\afunused>)(\afpoint4)]}
+% \end{macrocode}
+% The combo box that displays the above items. On selection,
+% we populate the \texttt{theFunction} field.
+% \begin{macrocode}
+\newcommand{\functionSelect}[3][]{%
+ \comboBox[\TU{\tt@functionSelect}#1\Ff{\FfCommitOnSelChange}
+ \nuDV{\af@DefaultFunction}\nuV{\af@DefaultFunction}
+ \AA{\AAKeystroke{%
+ if (!event.willCommit) {\r\t
+ this.getField(
+ "\afgraphName theFunction").value=event.changeEx;\r
+ }}}]{\afgraphName ComboSelect}{#2}{#3}{\af@initializeFuncSelect}%
+}
+\newcommand{\ttfunctionSelect}[1]{%
+ \def\tt@functionSelect{#1}}
+\ttfunctionSelect{Enter a function on \afcurvei1--\afcurvei4, or
+ a list of points on \afploti1--\afploti4.}
+% \end{macrocode}
+% Saves the current function to the list, shift-click deletes
+% the current list item, and returns it to its default.
+% \begin{macrocode}
+\newcommand{\savedelSelBtn}[3][]{%
+ \pushButton[\TU{\tt@savedelSelBtn}#1
+ \A{\JS{saveDelSelAction("\afgraphName");
+ }}]{\afgraphName savedelSelectBtn}{#2}{#3}%
+}
+\newcommand{\ttsavedelSelBtn}[1]{\def\tt@savedelSelBtn{#1}}
+\ttsavedelSelBtn{Click to save current function to list, shift-click
+ to delete the current function from list}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+% \paragraph{The Graphing Button.}
+% \begin{macro}{\graphBtn}
+% Clicking on this button when the
+% rich media annot is not activated will activate it. Clicking on
+% this button when the rich media annot is activate will cause the
+% function in the \cs{fileInputField} to be graphed.
+% \begin{macrocode}
+\newcommand{\graphBtn}[3][]{%
+ \pushButton
+ [\BC{0 0 0}\CA{Graph It!}\TU{\tt@graphBtn}#1
+ \A{\JS{graphBtnAction("\afgraphName",this.pageNum);
+ }}]{\afgraphName graphIt}{#2}{#3}%
+}
+\newcommand{\ttgraphBtn}[1]{\def\tt@graphBtn{#1}}
+\ttgraphBtn{Press to graph the function}
+% \end{macrocode}
+% \end{macro}
+% \paragraph{The Clear Screen Button.}
+%
+% \begin{macro}{\graphClrBtn}
+% \begin{macro}{\clearGraphJS}
+% Click on this button and all fields
+% associated with this graphing screen are reset. Shift click makes the
+% AcroFlex widget deactivated.
+% \begin{macrocode}
+\newcommand{\clearGraphJS}{%
+ clearGraph("all","\afgraphName",this.pageNum);}
+\newcommand{\graphClrBtn}[3][]{\pushButton[\BC{0 0 0}\CA{Clear}
+ \A{\JS{\clearGraphJS}}\TU{\tt@graphClrBtn}#1
+ ]{\afgraphName clearIt}{#2}{#3}%
+}
+\newcommand{\ttgraphClrBtn}[1]{\def\tt@graphClrBtn{#1}}
+\ttgraphClrBtn{Click to clear graph, shift-click to deactivate the
+ graphing screen}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \paragraph{The Domain the function is to be graphed over.}
+%
+% \begin{macro}{\domMin}
+% \begin{macro}{\domMax}
+% The lower endpoint of the interval over which the function is
+% graphed.
+%
+% \begin{macrocode}
+\newcommand{\domMin}[3][]{\makebox[0pt][l]{%
+ \textField[\nuDV{\af@DefaultDomMin}\nuV{\af@DefaultDomMin}
+ \F{\FHidden}\Ff{\FfReadOnly}
+ ]{\afgraphName theHiddenDom.min}{1bp}{1bp}}%
+ \textField[\textSize{0}\nuV{\af@DefaultDomMin}
+ \nuDV{\af@DefaultDomMin}\BC{0 0 0}\TU{\tt@domMin}#1\AA{%
+ \AAKeystroke{\keystrokeDomRng{"\afgraphName theHiddenDom.min"}}
+ \AAFormat{\formatVarIntervals{"\afgraphName theHiddenDom.min"}}
+ }]{\afgraphName theDom.min}{#2}{#3}%
+}
+\newcommand{\ttdomMin}[1]{\def\tt@domMin{#1}}
+\ttdomMin{Enter the minimum value for the variable x}
+% \end{macrocode}
+% The upper endpoint of the interval over which the function is graphed.
+% \begin{macrocode}
+\newcommand{\domMax}[3][]{\makebox[0pt][l]{%
+ \textField[\nuDV{\af@DefaultDomMax}\nuV{\af@DefaultDomMax}
+ \F{\FHidden}\Ff{\FfReadOnly}
+ ]{\afgraphName theHiddenDom.max}{1bp}{1bp}}%
+ \textField[\textSize{0}\nuV{\af@DefaultDomMax}
+ \nuDV{\af@DefaultDomMax}\BC{0 0 0}\TU{\tt@domMax}#1\AA{%
+ \AAKeystroke{\keystrokeDomRng{"\afgraphName theHiddenDom.max"}}
+ \AAFormat{\formatVarIntervals{"\afgraphName theHiddenDom.max"}}
+ }]{\afgraphName theDom.max}{#2}{#3}%
+}
+\newcommand{\ttdomMax}[1]{\def\tt@domMax{#1}}
+\ttdomMax{Enter the maximum value for the variable x}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \paragraph{The interval on vertical axis what is to be displayed.}
+% \begin{macro}{\rngMin}
+% \begin{macro}{\rngMax}
+% The lower endpoint of the interval on the $y$-axis that is displayed on the
+% graphing screen.
+% \begin{macrocode}
+\newcommand{\rngMin}[3][]{\makebox[0pt][l]{%
+ \textField[\nuDV{\af@DefaultRngMin}\nuV{\af@DefaultRngMin}
+ \F{\FHidden}\Ff{\FfReadOnly}
+ ]{\afgraphName theHiddenRng.min}{1bp}{1bp}}%
+ \textField[\textSize{0}\nuV{\af@DefaultRngMin}
+ \nuDV{\af@DefaultRngMin}\BC{0 0 0}\TU{\tt@rngMin}#1\AA{%
+ \AAKeystroke{\keystrokeDomRng{"\afgraphName theHiddenRng.min"}}
+ \AAFormat{\formatVarIntervals{"\afgraphName theHiddenRng.min"}}
+ }]{\afgraphName theRng.min}{#2}{#3}%
+}
+\newcommand{\ttrngMin}[1]{\def\tt@rngMin{#1}}
+\ttrngMin{Enter the minimum value for the variable y}
+% \end{macrocode}
+% The upper endpoint of the interval on the $y$-axis that is displayed on the
+% graphing screen.
+% \begin{macrocode}
+\newcommand{\rngMax}[3][]{\makebox[0pt][l]{%
+ \textField[\nuDV{\af@DefaultRngMax}\nuV{\af@DefaultRngMax}
+ \F{\FHidden}\Ff{\FfReadOnly}
+ ]{\afgraphName theHiddenRng.max}{1bp}{1bp}}%
+ \textField[\textSize{0}\nuV{\af@DefaultRngMax}
+ \nuDV{\af@DefaultRngMax}\BC{0 0 0}\TU{\tt@rngMax}#1\AA{%
+ \AAKeystroke{\keystrokeDomRng{"\afgraphName theHiddenRng.max"}}
+ \AAFormat{\formatVarIntervals{"\afgraphName theHiddenRng.max"}}
+ }]{\afgraphName theRng.max}{#2}{#3}%
+}
+\newcommand{\ttrngMax}[1]{\def\tt@rngMax{#1}}
+\ttrngMax{Enter the maximum value for the variable y}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \paragraph{The Domain parametric equations is to be graphed over.}
+% \begin{macro}{\domMinP}
+% \begin{macro}{\domMaxP}
+% The lower endpoint of the interval over which the function is graphed.
+% \begin{macrocode}
+\newcommand{\domMinP}[3][]{\makebox[0pt][l]{%
+ \textField[\nuDV{\af@DefaultDomMint}\nuV{\af@DefaultDomMint}
+ \F{\FHidden}\Ff{\FfReadOnly}
+ ]{\afgraphName theHiddenDom_t.min}{1bp}{1bp}}%
+ \textField[\textSize{0}\nuV{\af@DefaultDomMint}
+ \nuDV{\af@DefaultDomMint}\BC{0 0 0}\TU{\tt@domMinP}#1\AA{%
+ \AAKeystroke{\keystrokeDomRng{"\afgraphName theHiddenDom_t.min"}}
+ \AAFormat{\formatVarIntervals{"\afgraphName theHiddenDom_t.min"}}
+ }]{\afgraphName theDom_t.min}{#2}{#3}%
+}
+\newcommand{\ttdomMinP}[1]{\def\tt@domMinP{#1}}
+\ttdomMinP{Enter the minimum value for the variable t}
+% \end{macrocode}
+% The upper endpoint of the interval over which the function is graphed.
+% \begin{macrocode}
+\newcommand{\domMaxP}[3][]{\makebox[0pt][l]{%
+ \textField[\nuDV{\af@DefaultDomMaxt}\nuV{\af@DefaultDomMaxt}
+ \F{\FHidden}\Ff{\FfReadOnly}
+ ]{\afgraphName theHiddenDom_t.max}{1bp}{1bp}}%
+ \textField[\textSize{0}\nuV{\af@DefaultDomMaxt}
+ \nuDV{\af@DefaultDomMaxt}\BC{0 0 0}\TU{\tt@domMaxP}#1\AA{%
+ \AAKeystroke{\keystrokeDomRng{"\afgraphName theHiddenDom_t.max"}}
+ \AAFormat{\formatVarIntervals{"\afgraphName theHiddenDom_t.max"}}
+ }]{\afgraphName theDom_t.max}{#2}{#3}%
+}
+\newcommand{\ttdomMaxP}[1]{\def\tt@domMaxP{#1}}
+\ttdomMaxP{Enter the maximum value for the variable t}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \begin{macro}{\formatVarIntervals}
+% \begin{macro}{\keystrokeDomRng}
+% These are format and keystroke functions that support the above
+% domain and range commands.
+% \begin{macrocode}
+\def\formatVarIntervals#1{%
+ try{ formatVarIntervals(#1) } catch(e){};
+}
+\def\keystrokeDomRng#1{%
+ if (event.willCommit) keystrokeDomRng(#1);
+}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \paragraph{The Number of points to plot.}
+% \begin{macro}{\numPoints}
+% \begin{macro}{\defaultNumPoints}
+% The number of points to use for plotting the specified function.
+% \begin{macrocode}
+\newcommand{\defaultNumPoints}[1]{%
+ \def\af@defaultNumPoints{#1}}
+\defaultNumPoints{40}
+\newcommand\numPoints[3][]{%
+ \textField[\nuV{\af@defaultNumPoints}\nuDV{\af@defaultNumPoints}
+ \Q1\BC{0 0 0}\TU{\tt@numPoints}#1\AA{%
+ \AAKeystroke{if (event.willCommit) keystrokeNumPoints();}}
+ ]{\afgraphName numNodes}{#2}{#3}%
+}
+\newcommand{\ttnumPoints}[1]{\def\tt@numPoints{#1}}
+\ttnumPoints{Enter the number of points to plot}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \paragraph{Shifting the Graph Screen.}
+% In this section we provide basic control for shifting the graph screen up and down,
+% and left and right. Two new text fields are designed to set the amount of vertical
+% or horizontal shifting.
+%
+% \begin{macro}{\amtShift}
+% Use this text field to enter the amount of horizontal or vertical shift.
+%
+% We have the usual three parameters, optional argument to change the appearance,
+% the width of the form field, the height of the form field.
+% \begin{macrocode}
+\newcommand{\defaultShiftAmt}[1]{%
+ \def\af@defaultShiftAmt{#1}}
+\defaultShiftAmt{1}
+\newcommand{\amtShift}[3][]{%
+ \textField[\nuV{\af@defaultShiftAmt}\nuDV{\af@defaultShiftAmt}\Q1
+ \BC{0 0 0}\TU{\tt@amtShift}#1\AA{\AAKeystroke{%
+ if (event.willCommit) keystrokeAmtShift();
+ }}]{\afgraphName amtshift}{#2}{#3}%
+}
+\newcommand{\ttamtShift}[1]{\def\tt@amtShift{#1}}
+\ttamtShift{Enter the amount to shift, horizontally or vertically}
+% \end{macrocode}
+% \end{macro}
+%
+% For the controls for initiating the shifting action, we can use forms or links. We'll begin
+% by using links.
+% \begin{macro}{\hShiftL}
+% \begin{macro}{\hShiftR}
+% \begin{macro}{\vShiftD}
+% \begin{macro}{\vShiftU}
+% Basic link to initiate the actions of shifting the viewing screen horizontally or vertically
+% an amount equal to the entries in \cs{amtShift}.
+% \begin{macrocode}
+\newcommand{\hShiftL}[2][]{%
+ \setLinkText[#1\A{\JS{%
+ shiftHorVert ("\afgraphName",this.pageNum,"h","-");
+ }}]{#2}%
+}
+\newcommand{\hShiftR}[2][]{%
+ \setLinkText[#1\A{\JS{%
+ shiftHorVert ("\afgraphName",this.pageNum,"h","+");
+ }}]{#2}%
+}
+\newcommand{\vShiftD}[2][]{%
+ \setLinkText[#1\A{\JS{%
+ shiftHorVert ("\afgraphName",this.pageNum,"v","-");
+ }}]{#2}%
+}
+\newcommand{\vShiftU}[2][]{%
+ \setLinkText[#1\A{\JS{%
+ shiftHorVert ("\afgraphName",this.pageNum,"v","+");
+ }}]{#2}%
+}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+% \paragraph{The Zooming in and out.}
+% Coming fresh off the success of the horizontal and vertical shifting commands, let's plough
+% on to zooming in.
+% \begin{macro}{\zoomInOut}
+% This push button control zooms out, with a click, or zoom in with a shift-click.
+% \begin{macrocode}
+\newcommand{\zoomInOut}[3][]{%
+ \pushButton[\BC{0 0 0}\CA{Zoom}\TU{\tt@zoomInOut}#1
+ \A{\JS{%
+ var shiftType = (event.shift) ? "+" : "-";\r
+ zoomInOut ("\afgraphName",this.pageNum,shiftType);
+ }}
+ ]{\afgraphName zoominout}{#2}{#3}%
+}
+\newcommand{\ttzoomInOut}[1]{\def\tt@zoomInOut{#1}}
+\ttzoomInOut{Click to zoom out, shift-click to zoom in}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsection{Non-Interactive Graphing}
+%
+% Use the \cs{setLinkText} command to pass a function name, the number of points, and domain/range
+% information to the graphing screen, without user input. This command is useful for tutorials
+% that would like to create a graph for the student to inspect, or as part of a quiz.
+% \begin{macro}{\sgraphLink}
+% The command \cs{sgraphLink} has four arguments, the first one is an optional argument
+% to modify the appearance of the link; the second argument consist of key-value pairs that
+% are options for the {\AcroFLeX} Graphing system; the third argument is the function of the
+% semi-colon delimited list of points to be plotted; the fourth argument is the text to be used
+% as the link.
+%\begin{verbatim}
+% \sgraphLink[<appearance>]{<graph_key_vals>}{func|points}{<text>}
+%\end{verbatim}
+%\paragraph{Options for the Second Parameter.} We define and briefly discuss
+% a series of keys for the second parameter.
+%
+% \begin{macrocode}
+% \end{macrocode}
+% \DescribeMacro{graph}
+% Curves and points are graphed on chart series. This system uses \texttt{LinearSeries},
+% \texttt{PlotSeries}, and \texttt{AreaSeries}. The {\AcroFLeX} graphing widget provides
+% four series for each of these three. Values of \texttt{c1}, \texttt{c2}, \texttt{c3}, \texttt{c4} for this key graphs the data
+% on a \texttt{LinearSeries}; values of \texttt{p1}, \texttt{p2}, \texttt{p3}, \texttt{p4} plot the data on a \texttt{PlotSeries};
+% and values of \texttt{a1}, \texttt{a2}, \texttt{a3}, \texttt{a4} graphs the data on a \texttt{AreaSeries}.
+% \begin{macrocode}
+\define@choicekey+{afsl}{graph}{c1,c2,c3,c4,p1,p2,p3,p4,%
+ a1,a2,a3,a4}[c1]{\edef\afsl@graph{#1}}{\PackageWarning{acroflex}
+ {Bad choice for the graph key, permissible values are
+ c1, c2, c3,c4, p1, p2, p3, p4, a1, a2, a3, a4. Try again}}
+% \end{macrocode}
+% \DescribeMacro{type}
+% The type of curve this is, \texttt{cart} ($y=f(x)$), \texttt{para}
+% ($x=f(t); y=g(t)$), or \texttt{polar} ($r = f(t)$). When defining a polar function
+% using \cs{sgraphLink}, use \texttt{type=polar} to signal that the curve is a polar function.
+% \changes{v1.6c}{2016/08/29}{Set defaults for type and connectwith}
+% \begin{macrocode}
+\define@choicekey+{afsl}{type}{cart,para,polar}[cart]{%
+ \edef\afsl@type{#1}}{\PackageWarning{acroflex}
+ {Bad choice for the type key, permissible values are
+ cart, para, and polar. Try again}}
+\let\afsl@type\@empty
+% \end{macrocode}
+% \DescribeMacro{connectwith}
+% When the graph is either a \texttt{LinearSeries} or an
+% \texttt{AreaSeries}, the points are connected. Use this key to
+% specify how the points are to be connected. The default values
+% for this key are as follows: for
+% \texttt{graph=cart} it is \texttt{connectwith=curve}, and for
+% \texttt{graph=para} it is \texttt{connectwith=segment}.
+% Use this key to override these defaults. For parametric equations,
+% \texttt{connectwith=curve} is not recommended, the results may not
+% be good. Use of this key is recommended for \texttt{graph=cart}.
+% \begin{macrocode}
+\define@choicekey+{afsl}{connectwith}{curve,segment}[curve]{%
+ \edef\afsl@form{#1}}{\PackageWarning{acroflex}
+ {Bad choice for the connectwith key, permissible values are
+ curve and segment. Try again}}
+\let\afsl@form\@empty
+% \end{macrocode}
+% \DescribeMacro{noquotes}
+% This key is a workaround for the case when the function or data is passed by
+% JavaScript. Used when passing things that are already strings, such as \texttt{event.value}.
+% An example of usage can be found in \texttt{afgraph.tex}.
+% \begin{macrocode}
+\define@choicekey+{afsl}{noquotes}[\val\nr]{true,false}[true]{%
+ \ifcase\nr\relax\def\af@quotes{}\or\def\af@quotes{"}\fi}
+ {\PackageWarning{acroflex}
+ {Bad choice for the noquotes key, permissible values are
+ true and false. Try again}}
+% \end{macrocode}
+% \DescribeMacro{points}
+% Use this key to specify the number of points to generate from the function.
+% The key is ignored if \texttt{PlotSeries} is used, and should not appear, or be set to zero.
+% \begin{macrocode}
+\define@key{afsl}{points}[0]{\edef\afsl@nPoints{#1}}
+% \end{macrocode}
+% \DescribeMacro{xInterval}
+% An interval of numbers on the horizontal axis. This interval determines the
+% domain over which the function of $x$ is to be graphed. The endpoints of this
+% interval also determine the left and right boundaries of the viewing window.
+% \begin{macrocode}
+\define@key{afsl}{xInterval}[]{\edef\afsl@xInterval{#1}}
+% \end{macrocode}
+% \DescribeMacro{xPlot}
+% (10/11/09) Added the \texttt{xPlot} key. With the \texttt{xInterval} key, the interval over which to
+% plot the curve is bound to the scaling on the x-axis. It is now desired to plot
+% a graph over a smaller interval than the one on the x-axis, and \texttt{xPlot} will be used for
+% that purpose; thus one can say \verb!xInterval={[-2,2]},xPlot={[-1,0]}!. If \texttt{xPlot}
+% is not specified, then $\texttt{xPlot}=\texttt{xInterval}$.
+% \begin{macrocode}
+\define@key{afsl}{xPlot}[]{\edef\afsl@xPlot{#1}}
+% \end{macrocode}
+% \DescribeMacro{yInterval}
+% An interval of numbers on the vertical axis. The endpoints of this
+% interval also determine the lower and upper boundaries of the viewing window.
+% \begin{macrocode}
+\define@key{afsl}{yInterval}[]{\edef\afsl@yInterval{#1}}
+% \end{macrocode}
+% \DescribeMacro{tInterval}
+% An interval of numbers on the parameter axis. This interval determines the
+% domain over which a polar function and parametric equations are to be graphed.
+% \texttt{xInterval} and \texttt{yInterval} determines the viewing window.
+% \begin{macrocode}
+\define@key{afsl}{tInterval}[]{\edef\afsl@tInterval{#1}}
+% \end{macrocode}
+% \DescribeMacro{populate}
+% A Boolean value, which if \texttt{true}, signals \texttt{Graph\_xy()} or
+% \texttt{Graph\_xyt()} to populate the interactive field controls. When
+% no controls are provided for the graphing screen, populate should have a
+% value of \texttt{false}.
+% \begin{macrocode}
+\define@choicekey+{afsl}{populate}{true,false}[true]{%
+ \edef\afsl@populate{#1}}{\PackageWarning{acroflex}
+ {Bad choice for the populate key, permissible values are
+ true and false. Try again}}
+% \end{macrocode}
+% \DescribeMacro{wait}
+% When using \cs{defineGraphJS} to create an action with multiple graph events,
+% use \texttt{wait=true}. This setting gives the {\AcroFLeX} graphing widget to
+% receive one set of plotting data before trying to digest another.
+% \begin{macrocode}
+\define@choicekey+{afsl}{wait}{true,false}[true]{%
+ \edef\afsl@wait{#1}}{\PackageWarning{acroflex}
+ {Bad choice for the wait key, permissible values are
+ true and false. Try again}}
+% \end{macrocode}
+% \paragraph*{Set the defaults for all the keys.}
+% All changes are local to each link, so we set global defaults whose values
+% are not changed by the changes as a result of the passing key-value pairs
+% through \cs{sgraphLink}.
+% \begin{macrocode}
+\setkeys{afsl}{graph,points,xInterval,xPlot,yInterval,tInterval,%
+ populate=false,type,connectwith,noquotes=false,wait=false}
+% \end{macrocode}
+% \begin{macro}{\sgraphLink}
+% We finally come to the \cs{sgraphLink}.
+% \begin{macrocode}
+\newcommand{\sgraphLink}[4][]{{%
+ \defineGraphJS{#2}{#3}{\af@sglnkAction}%
+ \setLinkText[#1\A{\JS{\af@sglnkAction}}]{#4}%
+}}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \begin{macro}{\defineGraphJS}
+% The \cs{defineGraphJS} is the JS used to call the \texttt{Graph\_xy()} or \texttt{Graph\_xyt()}
+% JavaScript function defined in this package. It uses the same key-value pairs as the second
+% argument of \cs{sgraphLink}. The command can be used to construct links that graph several
+% curves (or plots) with a link or form action. It can be integrated into the exerquiz quizzing system,
+% using the new key \cs{AddAAKeystroke} of \cs{RespBoxMath}. The use of this key and this command is illustrated
+% in the \texttt{acroflex.tex} demo file.
+%\par\medskip\noindent
+% The \texttt* optional first parameter signals to use \cs{edef} in the subsequent command
+% \cs{af@defineGraphJS}.
+% \begin{macrocode}
+\newcommand{\defineGraphJS}{\@ifstar{\let\AF@exDEF\edef\af@defineGraphJS}
+ {\let\AF@exDEF\xdef\af@defineGraphJS}}
+% \end{macrocode}
+% We continue \cs{defineGraphJS}: The first parameter are key-values of the
+% \texttt{afsl} family; the second parameter is the function; the third is the
+% name to assign the command being defined.
+% modify the appearance of the link; the second parameter
+% \begin{macrocode}
+\newcommand{\af@defineGraphJS}[3]{{\makeJSspecials
+ \edef\af@tmp@exp{\noexpand\setkeys{afsl}{#1}}\af@tmp@exp
+ \ifx\afsl@xPlot\@empty\let\afsl@xPlot\afsl@xInterval\fi
+ \AF@exDEF#3{Graph_xytJS (\af@quotes#2\af@quotes,"\afsl@xInterval",%
+ "\afsl@yInterval","\afsl@xPlot","\afsl@tInterval","\afsl@graph",%
+ \afsl@populate,\afsl@wait,"\afsl@type","\afsl@form","\afgraphName",%
+ \afsl@nPoints)}%
+}}
+% \end{macrocode}
+% \end{macro}
+%
+% \section{Document JS in Support of \texorpdfstring{\protect\AcroFLeX}{AcroFleX}}
+%
+% Below are some text macros used in creating error messages. They may be redefined
+% into better English, or another language. Use the definition file \texttt{afcustom.def}
+% to make these re-definitions.
+% \begin{macrocode}
+\defineJSStr{\af@badNumberMsg}{%
+ The value input does not appear to be a number, please enter a
+ number, or an expression that evaluates to a number.}
+\defineJSStr{\af@negNumberMsg}{%
+ The number of points is a positive integer, changing to a
+ positive integer.}
+\defineJSStr{\af@zeroNumberMsg}{%
+ The number of points is a positive integer, changing to the
+ default value of \af@defaultNumPoints.}
+\defineJSStr{\af@negShiftMsg}{%
+ The amount of shift is a positive number, changing to a positive
+ number.}
+\defineJSStr{\af@zeroShiftMsg}{%
+ The amount of shift is a positive number, changing to the
+ default value of 1.}
+\defineJSStr{\af@saveDelSelAlerti}{%
+ There is nothing in the function input text field.}
+\defineJSStr{\af@saveDelSelAlertii}{%
+ You have not defined any points to plot}
+\defineJSStr{\af@graphBtnAlerti}{Undefined graph types}
+% \end{macrocode}
+% \begin{macrocode}
+\begin{insDLJS*}[acroflexLoaded]{afgrfJS}
+\begin{newsegment}{AF: AcroFLeX Graphing Bundle}
+/*
+ Document Level JavaScript
+ AcroFLeX Graphing Bundle
+ D. P. Story copyright 2008-\the\year
+*/
+var acroflexLoaded = true;
+var _mathVars="xt";
+var aGraphData = new Array();
+var ck4PtsRe = /\(.+,.+\)/;
+var badNumberMsg=\af@badNumberMsg;
+var negNumberMsg=\af@negNumberMsg;
+var zeroNumberMsg=\af@zeroNumberMsg;
+var negShiftMsg=\af@negShiftMsg;
+var zeroShiftMsg=\af@zeroShiftMsg;
+var saveDelSelAlerti=\af@saveDelSelAlerti;
+var saveDelSelAlertii=\af@saveDelSelAlertii;
+var graphBtnAlerti=\af@graphBtnAlerti;
+var scratchCounter=0;
+var aTimeOutArray = new Array();
+var afSuffixes = new Array("ComboSelect","theFunction",
+ "amtShift","theDom","theRng", "theDom_t",
+ "Rng_t","numNodes");
+\end{newsegment}
+\begin{newsegment}{AF: Graphing Functions}
+% \end{macrocode}
+% \DescribeMacro{Graph\_xy} Graphs a function of a single variable in the rectangular
+% coordinate system.
+%
+% The \texttt{Graph\_xy} function takes four or more arguments. In interactive
+% mode, it takes four.
+%\begin{enumerate}
+% \item \texttt{graph\_props}: (Needs Revision) This is a signal for the type of graphing requested.
+% \texttt{c1,...,c4} for continuous plotting; and \texttt{p1,...,p4} for discrete
+% plotting. There are four of these types.
+% \item \texttt{baseName}: The base name of the graphing environment. This is used to
+% build the field names for the controls, if any, on the page.
+% \item \texttt{pNum}: The page number of the target rich media annot. This together
+% with \texttt{baseName} is enough information to get the AnnotRichMedia object using
+% the \texttt{Doc.AnnotRichMedia} method.
+%\end{enumerate}
+% When in interactive mode, we get the function to be graphed, the domain of $x$
+% the range of $y$, and the number of points to plot from form fields.
+% \begin{itemize}
+% \item The function is input by the user into the field \texttt{baseName+"theFunction"},
+% but we get the JS version from \texttt{baseName+"theHiddenFunction"}.
+% When the user enters a function, it is parsed, and changed into a proper JS
+% expression: \verb!2x^2sin(x)! becomes \verb!2*Math.pow(x,2)*Math.sin(x)!.
+%
+% \item The domain and range values are input by the user through the fields, having field names of
+% \texttt{baseName+"theDom.min"}, \texttt{baseName+"theDom.max"}, \texttt{baseName+"theRng.min"},
+% and \texttt{baseName+"theRng.max"}, but we retrieve the values from hidden fields.
+% See \texttt{getDomRng} below for the listing of the hidden fields.
+% When the user enters domain/range info, this info is parsed and made into
+% property JS expressions. In this way, the user can enter symbolics like \texttt{PI}
+% or \texttt{sin(PI/3)}, or do arithmetic, like \texttt{2 + 1/3}.
+%
+% \item The number of points to plot is obtained from \texttt{baseName+"numNodes"},
+% no preprocessing is used.
+%
+% \end{itemize}
+%
+% \noindent When the number of arguments is greater than four, we are in non-interactive
+% mode. The 5th argument is the JS function to graph; the 6th is the number of
+% points to plot; the 7th is an object containing the domain
+%
+% \paragraph{Notes on the Modes.} There are three modes of operation: interactive, populate,
+% and silent.
+%\begin{itemize}
+% \item \textbf{Interactive:} This occurs when the user enters a
+% function through the UI. In this case the number of arguments
+% passed to \texttt{Graph\_xy} (or \texttt{Graph\_xyt}) is only four.
+% The number of \texttt{arguments} is determined by the arguments
+% object, and the switch \texttt{afInteractive} is set to
+% \texttt{true}. For this mode
+%
+% The following controls are \emph{required}: \cs{fileInputField},
+% \cs{graphBtn}, \cs{domMin}, \cs{domMax}, \cs{rngMin}, \cs{rngMax},
+% and \cs{numPoints}. If parametric or polar graphs are to be used,
+% then \cs{domMinP} and \cs{domMaxP} are also required. The other
+% controls are \emph{optional}, \cs{graphClrBtn} (recommended),
+% \cs{amtShift} (and \cs{hShiftL},
+% \cs{hShiftR},\cs{vShiftD},\cs{vShiftU}) and \cs{zoomInOut}.
+%
+% \item \textbf{Populate:} This mode occurs when the graphing parameters
+% are passed to \texttt{Graph\_xy} (or \texttt{Graph\_xyt}) by \cs{sgraphLink}
+% (or some other command). All the essential information is passed as arguments,
+% so the number of arguments is greater than four. The command initiating the
+% graphing should set the \texttt{graph\_props.populate} to \texttt{true}. In this
+% case the graphing data populate the required fields and the graph will be drawn.
+% It is the document author's responsibility to only use populate on graphing screens
+% that have all the required control fields. \texttt{Graph\_xy} (and \texttt{Graph\_xyt})
+% checks the value of the \texttt{graph\_props.populate} property, and sets the switch
+% \texttt{populate} to \texttt{true}.
+%
+% Populate behave exactly like interactive, but the graphing data is passed to it in pre-packaged
+% for my the document author; the user, however, can manipulate the curve once it appears.
+%
+% The required controls are the same as the interactive mode.
+%
+% \item \textbf{Silent:} This is a non-interactive mode, there must be no controls other than
+% \cs{graphClrBtn}. Basically, the author prepares some pre-packaged graphs to be displayed
+% to the user, without interaction. These may go along with a tutorial discussion symmetry,
+% periodicity, tangent lines, etc.
+%
+%\end{itemize}
+% \begin{macrocode}
+function Graph_xy(graph_props, baseName, pNum)
+{
+ _mathVars="x";
+ var afInteractive = (arguments.length <= 3);
+ if (afInteractive) {
+ var f = this.getField(baseName+"theHiddenFunction").value;
+% \end{macrocode}
+% If the file input field does not contain a Cartestian point $(a,b)$,
+% but it does contain a semi-colon, we figure what is entered is a
+% set of parametric equations.
+% \begin{macrocode}
+ if ( !ck4PtsRe.test(f) && (f.indexOf(";")!=-1) ) {
+ var dt = this.getField(baseName+"theDom_t.min");
+ if ( dt == null ) {
+ syntaxError(); return;
+ }
+ Graph_xyt(graph_props, baseName, pNum);
+ return;
+ }
+ f = this.getField(baseName+"theHiddenFunction").value;
+ }
+ createGraphData(baseName);
+ var which_graph=graph_props.graph;
+ var populate = false;
+ graph_props.type="cart";
+ var aWhichGraph=/(c|p|a)(\d)/.exec(which_graph);
+ if ( aWhichGraph==null ) aWhichGraph=["","c","1"];
+ var isGraph = (aWhichGraph[1]=="c" || aWhichGraph[1]=="a");
+ var connectPoints=false;
+ var plotPoints=false;
+ var wait = false;
+ switch(aWhichGraph[1]) {
+ case "p":
+ var which_series="p"+aWhichGraph[2];
+ plotPoints=true;
+ break;
+ case "a":
+ var which_series="a"+aWhichGraph[2];
+ break;
+ default:
+ var which_series="c"+aWhichGraph[2];
+ }
+ graph_props.graph=which_series;
+% \end{macrocode}
+% Get domain and range of x and y, respectively
+% obtain in math environment so we can evaluate
+% any symbolic constants, such as \texttt{Math.PI}
+% \begin{macrocode}
+ if (afInteractive) var oDR = getDomRng (baseName);
+ else {
+ wait=graph_props.wait;
+ populate = graph_props.populate;
+ var oDR = arguments[5];
+ if (populate) populateDomRng(baseName,oDR);
+ for ( var o in oDR ) oDR[o] = EvalParse(oDR[o]);
+ }
+ aGraphData[baseName].aDomRngs = oDR;
+% \end{macrocode}
+% calculate width of intervals. If the user has passed a subinterval to us, then
+% \texttt{oDR.x\_min} would be defined, and we use it to compute the range.
+% \begin{macrocode}
+ var rng_x = (typeof oDR.x_u=="undefined") ?
+ (oDR.x_max - oDR.x_min) : (oDR.x_u - oDR.x_l);
+ /* Get the function and calculated the plotted points */
+ if (afInteractive) {
+ var n = Number(this.getField(baseName+"numNodes").value);
+ if ( isNaN(n) || n <=0 ) n = \af@defaultNumPoints;
+ } else {
+ var f = ParseInput(arguments[2+1]);
+ var n = Number(arguments[2+2]);
+ if (populate) {
+ this.getField(baseName+"theFunction").value=arguments[2+1];
+ this.getField(baseName+"numNodes").value=n;
+ }
+ if (isGraph) {
+% \end{macrocode}
+% Is there a function there? We use n to determine
+% that, if $n > 0$ we assume a function; otherwise, we
+% assume plotted points to be connected.
+% \begin{macrocode}
+ connectPoints = ( n <= 0 );
+ if ( connectPoints ) plotPoints = true;
+ // passing points to be plotted, not connected
+ } else plotPoints = true;
+ }
+% \end{macrocode}
+% Before we calculate the points, let's record what we are graphing.
+% \begin{macrocode}
+ if (afInteractive || populate)
+ updateGraphData(graph_props,baseName,f);
+% \end{macrocode}
+% Now we begin calculating the points to plot.
+% \begin{macrocode}
+ var plot_x, plot_y;
+ var x = (typeof oDR.x_u=="undefined") ? oDR.x_min : oDR.x_l;
+ var h = rng_x / n;
+ var thismax = (typeof oDR.x_u=="undefined") ? oDR.x_max : oDR.x_u;
+% \end{macrocode}
+% The plotted data will be accumulated as XML
+% \begin{macrocode}
+ var cPlotData=<points></points>;
+% \end{macrocode}
+% We strip out anything of the form \texttt{"y = "}, \texttt{"x = "} or \texttt{"r = "},
+% allowing the user to enter the expressions in equational form \verb!"y = x^2"!, for example.
+% \begin{macrocode}
+ var aSearchResults=/(([a-zA-Z])\s*=\s*)/.exec(f);
+ if ( aSearchResults != null) {
+ if ( aSearchResults[2] != "y" && aSearchResults[2] != "r" ) {
+ syntaxError(); return;
+ }
+ }
+% \end{macrocode}
+% This allows functions of the form $y=f(x)$, $r=f(x)$, $y=f(t)$, $r=f(t)$.
+% \begin{macrocode}
+ f = f.replace(/(([a-zA-Z])\s*=\s*)/g,"");
+% \end{macrocode}
+% \begin{macrocode}
+ if ( isGraph && !plotPoints ) {
+ for (var i=0; i<=n; i++)
+ {
+% \end{macrocode}
+% We evaluate the function, and try to detect any errors. If an exception is thrown,
+% we display an \textsf{exerquiz} \texttt{syntaxError()} message. If the result is not
+% a number, we skip over it.
+% \begin{macrocode}
+ try { with(Math) {_y = eval(f);} }
+ catch(e) {
+% \end{macrocode}
+% We have thrown an exception, so either this is bad code, or the user wants us
+% to plot this as a polar function. We'll try, but if we're wrong, we'll throw an
+% exception in \texttt{Graph\_xyt()}.
+% \begin{macrocode}
+ var paraEqs = "("+f+")*Math.cos(t);("+f+")*Math.sin(t)";
+ graph_props.type="polar";
+ this.getField(baseName
+ +"theHiddenFunction").value=paraEqs;
+ Graph_xyt(graph_props, baseName, pNum);
+ return;
+ }
+ // If not a number then skip over.
+ if (isFinite(_y))
+ {
+ plot_x = util.printf("\%.10f", x);
+ plot_y = util.printf("\%.10f", _y);
+% \end{macrocode}
+% We add the latest data point to the end of the XMList
+% \begin{macrocode}
+ cPlotData.points[cPlotData..point.length()]=
+ <point><x>{plot_x}</x><y>{plot_y}</y></point>
+ }
+ x += h;
+ }
+ } else { // prepare to data for plotting
+% \end{macrocode}
+% At this point the variable f should be a string of
+% points to plot.\\
+% \hspace*{30pt}\texttt{f = "(0,1);(2,2);(4,2);...;(5,3)"}.\\
+% It's not clear whether the abcissas need to be sorted in
+% increasing order, or whether FLEX is smart enough to do
+% that. We'll assume the latter case.
+% \begin{macrocode}
+ var afBegin = (f.indexOf("\(")+1);
+ var afEnd = f.lastIndexOf("\)");
+ cPlotData=f.substring(afBegin,afEnd);
+ var re = /\)\s*;\s*\(/;
+ aPlotData= cPlotData.split(re);
+ var cPlotData=<points></points>;
+ with (Math) {
+ for ( var i=0; i<aPlotData.length; i++) {
+ var cTmp = "["+aPlotData[i]+"]";
+ var aTmp = eval(cTmp);
+% \end{macrocode}
+% We add the latest data point to the end of the XMList
+% \begin{macrocode}
+ cPlotData.points[cPlotData..point.length()]=
+ <point><x>{aTmp[0]}</x><y>{aTmp[1]}</y></point>
+ }
+ }
+ }
+ cPlotData=cPlotData.toXMLString();
+ var annot = this.getAnnotRichMedia(pNum,"afRM"+baseName);
+ if ( annot )
+ {
+ if (!annot.activated || wait ) {
+ annot.activated=true;
+ afWait4Activation(
+ graph_props,baseName,pNum,oDR,cPlotData,50);
+ }
+ else
+ annot.callAS("getPlotData", graph_props, oDR, cPlotData);
+ }
+}
+% \end{macrocode}
+% \DescribeMacro{Graph\_xyt} This function graphs a set of parametric equations in the
+% rectangular coordinate system. The function pair is delimited by a semi-colon, early
+% in the code we get the function and test whether the function has a semi-colon in its
+% definition, so not, we send assume it is a function of a single variable, and send it
+% off to \texttt{Graph\_xy}.
+%
+% For silent mode, the parameters are the same, except that there are two extra arguments,
+% the endpoints of the parameter, $t$. The last argument is a Boolean, the author wants the
+% graphing data to populate the corresponding fields so user can manipulate.
+% \begin{macrocode}
+function Graph_xyt(graph_props, baseName, pNum)
+{
+ _mathVars="t";
+ var which_graph=graph_props.graph;
+ var populate = false;
+ var afInteractive = (arguments.length <= 3);
+ if (afInteractive) {
+ var f = this.getField(baseName+"theHiddenFunction").value;
+ if ( ck4PtsRe.test(f) || (f.indexOf(";")==-1) ) {
+ Graph_xy(graph_props, baseName, pNum);
+ return;
+ }
+ f = this.getField(baseName+"theHiddenFunction").value;
+ }
+ createGraphData(baseName);
+ if ( graph_props.type!="polar") graph_props.type="para";
+ var aWhichGraph=/(c|p|a)(\d)/.exec(which_graph);
+ if ( aWhichGraph==null ) aWhichGraph=["","c","1"];
+ var isGraph = (aWhichGraph[1]=="c" || aWhichGraph[1]=="a");
+ var connectPoints=false;
+ var plotPoints=false;
+ var wait=false;
+ switch(aWhichGraph[1]) {
+ case "p":
+ var which_series="p"+aWhichGraph[2];
+ plotPoints=true;
+ break;
+ case "a":
+ var which_series="a"+aWhichGraph[2];
+ break;
+ default:
+ var which_series="c"+aWhichGraph[2];
+ }
+ graph_props.graph=which_series;
+% \end{macrocode}
+% Get domain and range of x and y, respectively
+% obtain in math environment so we can evaluate
+% any symbolic constants, such as \texttt{Math.PI}
+% \begin{macrocode}
+ if (afInteractive) {
+ var oDR = getDomRng (baseName);
+ var oDp = getParaDom (baseName);
+ }
+ else {
+ wait=graph_props.wait;
+ populate = graph_props.populate;
+ var oDR = arguments[5];
+ if (populate) populateDomRng(baseName,oDR);
+ for ( var o in oDR ) oDR[o] = EvalParse(oDR[o]);
+ var oDp = arguments[6];
+ if (populate) populateParaDom(baseName,oDp);
+ for ( var o in oDp ) oDp[o] = EvalParse(oDp[o]);
+ }
+ aGraphData[baseName].aDomRngs = oDR;
+ aGraphData[baseName].aDom_P = oDp;
+% \end{macrocode}
+% calculate width of intervals
+% \begin{macrocode}
+ var rng_t = oDp.t_max - oDp.t_min;
+ /* Get the function and calculated the plotted points */
+ if (afInteractive) {
+ var n = Number(this.getField(baseName+"numNodes").value);
+ if ( isNaN(n) || n <=0 ) n = \af@defaultNumPoints;
+ } else {
+% \end{macrocode}
+% If this is polar, then we need to check if it has been parsed yet.
+% \begin{macrocode}
+ var f = arguments[2+1];
+ if ( graph_props.type=="polar") {
+ if(f.indexOf(";")==-1) {
+ f = "("+f+")*cos(t);("+f+")*sin(t)";
+ f = ParseInput(f);
+ }
+ } else
+ f = ParseInput(f);
+ var n = Number(arguments[2+2]);
+ if (populate) {
+ this.getField(baseName+"theHiddenFunction").value=f;
+ this.getField(baseName+"theFunction").value=arguments[2+1];
+ this.getField(baseName+"numNodes").value=n;
+ }
+ if (isGraph) {
+% \end{macrocode}
+% Is there a function there? We use n to determine
+% that, if $n > 0$ we assume a function; otherwise, we
+% assume plotted points to be connected.
+% \begin{macrocode}
+ connectPoints = ( n <= 0 );
+ if ( connectPoints ) plotPoints = true;
+ // passing points to be plotted, not connected
+ } else plotPoints = true;
+ }
+% \end{macrocode}
+% Before we calculate the points, let's record what we are graphing.
+% \begin{macrocode}
+ if (afInteractive || populate)
+ updateGraphData(graph_props,baseName,f);
+% \end{macrocode}
+% We strip out anything of the form \texttt{"y = "}, \texttt{"x = "} or \texttt{"r = "},
+% allowing the user to enter the expressions in equational form \texttt{"r = 1+sin(t)"},
+% or \texttt{x=sin(t); y = cos(t)}, for example.
+% \begin{macrocode}
+ var aFunction = f.split(";");
+ var x_function = aFunction[0];
+ var y_function = aFunction[1];
+ var aSearchResults=/(([a-zA-Z])\s*=\s*)/.exec(x_function);
+ if ( aSearchResults != null && aSearchResults[2] != "x") {
+ syntaxError(); return;
+ }
+ x_function = x_function.replace(/(([a-zA-Z])\s*=\s*)/g,"");
+ aSearchResults=/(([a-zA-Z])\s*=\s*)/.exec(y_function);
+ if ( aSearchResults != null && aSearchResults[2] != "y") {
+ syntaxError(); return;
+ }
+ y_function = y_function.replace(/(([a-zA-Z])\s*=\s*)/,"");
+ var plot_x, plot_y;
+ var t = oDp.t_min;
+ var h = rng_t / n;
+ var thismax = oDp.t_max;
+% \end{macrocode}
+% The plotted data will be accumulated as XML
+% \begin{macrocode}
+ var cPlotData=<points></points>;
+% \end{macrocode}
+% \begin{macrocode}
+ if ( isGraph && !plotPoints ) {
+ for (var i=0; i<=n; i++)
+ {
+% \end{macrocode}
+% We evaluate the function, and try to detect any errors. If an exception is thrown,
+% we display an \textsf{exerquiz} \texttt{syntaxError()} message. If the result is not
+% a number, we skip over it.
+% \begin{macrocode}
+ try {
+ with(Math) {
+ _x = eval(x_function);
+ _y = eval(y_function);
+ }
+ } catch(e) { syntaxError(); return;}
+ // If not a number then skip over.
+ if (isFinite(_x)&&isFinite(_y))
+ {
+ plot_x = util.printf("\%.10f", _x);
+ plot_y = util.printf("\%.10f", _y);
+% \end{macrocode}
+% We add the latest data point to the end of the XMList
+% \begin{macrocode}
+ cPlotData.points[cPlotData..point.length()]=
+ <point><x>{plot_x}</x><y>{plot_y}</y></point>
+ }
+ t += h;
+ }
+ } else { // prepare to data for plotting
+% \end{macrocode}
+% At this point the variable f should be a string of
+% points to plot.\\
+% \hspace*{30pt}\texttt{f = "(0,1);(2,2);(4,2);...;(5,3)"}.\\
+% It's not clear whether the abcissas need to be sorted in
+% increasing order, or whether FLEX is smart enough to do
+% that. We'll assume the latter case.
+% \begin{macrocode}
+ var afBegin = (f.indexOf("\(")+1);
+ var afEnd = f.lastIndexOf("\)");
+ cPlotData=f.substring(afBegin,afEnd);
+ var re = /\)\s*;\s*\(/;
+ aPlotData= cPlotData.split(re);
+ var cPlotData=<points></points>;
+ with (Math) {
+ for ( var i=0; i<aPlotData.length; i++) {
+ var cTmp = "["+aPlotData[i]+"]";
+ var aTmp = eval(cTmp);
+% \end{macrocode}
+% We add the latest data point to the end of the XMList
+% \begin{macrocode}
+ cPlotData.points[cPlotData..point.length()]=
+ <point><x>{aTmp[0]}</x><y>{aTmp[1]}</y></point>
+ }
+ }
+ }
+ cPlotData=cPlotData.toXMLString();
+ var annot = this.getAnnotRichMedia(pNum,"afRM"+baseName);
+ if ( annot )
+ {
+ if (!annot.activated || wait ) {
+ annot.activated=true;
+ afWait4Activation(
+ graph_props,baseName,pNum,oDR,cPlotData,50);
+ }
+ else
+ annot.callAS("getPlotData", graph_props, oDR, cPlotData);
+ }
+}
+function createGraphData(baseName)
+{
+ if( aGraphData[baseName] == undefined ) {
+ aGraphData[baseName] = new Object();
+ aGraphData[baseName].aDomRngs=new Object();
+ aGraphData[baseName].aDom_P=new Object();
+ aGraphData[baseName].current = new Array();
+ }
+}
+% \end{macrocode}
+% This function is called by the \texttt{Graph\_xy} or \texttt{Graph\_xyt}
+% and updates the graphing data we are trying to track.
+%
+% Properties of the object
+% \verb!aGraphData[baseName].current[which_graph]! object are
+% \texttt{hiddenFN} (a string of the hidden JS version of the
+% function), \texttt{appearFN} (a string of the function the user
+% sees), and \texttt{graph\_props} (the graph properties passed from
+% \texttt{Graph\_xy} or \texttt{Graph\_xyt}.
+% \begin{macrocode}
+function updateGraphData(graph_props,baseName,f)
+{
+ var which_graph=graph_props.graph;
+ if (aGraphData[baseName].current[which_graph] == undefined)
+ aGraphData[baseName].current[which_graph]=new Object();
+ aGraphData[baseName].current[which_graph].appearFN
+ =this.getField(baseName+"theFunction").value;
+ aGraphData[baseName].current[which_graph].hiddenFN=f;
+ aGraphData[baseName].current[which_graph].graph_props=graph_props;
+}
+\end{newsegment}
+% \end{macrocode}
+% When there are more than three arguments, we are in non-interactive mode.
+% The 4th-7th arguments are the domain and range that the graph should be
+% set to on reset.
+%
+% In the flash widget, we call the function \texttt{clearPlotData}, the parameters
+% of which are
+%\begin{verbatim}
+% clearPlotData(graph_props:Object, oDR:Object)
+%\end{verbatim}
+% \begin{macrocode}
+\begin{newsegment}{AF: Supporting Form Fields}
+function clearGraph(graph_opts,baseName, pNum)
+{
+ which_graph=graph_opts.graph;
+ var aWhichGraph=/(c|p|a)(\d)/.exec(which_graph);
+ if ( aWhichGraph==null ) aWhichGraph=["","c","1"];
+ var isGraph = (aWhichGraph[1]=="c" || aWhichGraph[1]=="a");
+ switch(aWhichGraph[1]) {
+ case "p":
+ var which_series="p"+aWhichGraph[2];
+ break;
+ case "a":
+ var which_series="a"+aWhichGraph[2];
+ break;
+ default:
+ var which_series="c"+aWhichGraph[2];
+ }
+ ProcessIt = false;
+ afResetForms = new Array ();
+ for (var i=0; i<afSuffixes.length; i++)
+ afResetForms.push(baseName+afSuffixes[i]);
+ this.resetForm(afResetForms);
+ ProcessIt = true;
+% \end{macrocode}
+% Now reset the array of graphs plotted.
+% \begin{macrocode}
+ if ( aGraphData[baseName] == undefined ) return;
+ try { aGraphData[baseName].current = new Array(); } catch(e) {}
+ var oDR = getDomRng (baseName);
+ var annot = this.getAnnotRichMedia(pNum,"afRM"+baseName);
+ if ( annot )
+ {
+ annot.callAS("clearPlotData", {graph:"all"}, oDR);
+ }
+ if (event.shift) annot.activated=false;
+}
+function stripBrackets(aStr) {
+ var afBegin = (aStr.indexOf("[")+1);
+ var afEnd = aStr.lastIndexOf("]");
+ aStr= aStr.substring(afBegin,afEnd);
+ return aStr;
+}
+function EvalParse(str) {
+ return eval(ParseInput(String(str)));
+}
+function getDomRng (baseName)
+{
+ var x_min, x_max, y_min, y_max;
+ if ( baseName == null )
+ return { x_min: \af@DefaultDomMin, y_min: \af@DefaultRngMin,
+ x_max: \af@DefaultDomMax, y_max: \af@DefaultRngMax };
+ var f = this.getField(baseName+"theHiddenDom.min");
+ if ( f == null ) {
+ f = aGraphData[baseName].aDomRngs;
+ if ( f == null )
+ aGraphData[baseName].aDomRngs = {
+ x_min: \af@DefaultDomMin, y_min: \af@DefaultRngMin,
+ x_max: \af@DefaultDomMax, y_max: \af@DefaultRngMax };
+ } else {
+ x_min=eval(this.getField(baseName+"theHiddenDom.min").value);
+ x_max=eval(this.getField(baseName+"theHiddenDom.max").value);
+ y_min=eval(this.getField(baseName+"theHiddenRng.min").value);
+ y_max=eval(this.getField(baseName+"theHiddenRng.max").value);
+ aGraphData[baseName].aDomRngs={
+ x_min: x_min, y_min: y_min,
+ x_max: x_max,y_max: y_max };
+ }
+ return aGraphData[baseName].aDomRngs;
+}
+function populateDomRng(baseName,oDR)
+{
+ try{this.getField(baseName+"theDom.min").value=oDR.x_min}catch(e){};
+ try{this.getField(baseName+"theDom.max").value=oDR.x_max}catch(e){};
+ try{this.getField(baseName+"theRng.min").value=oDR.y_min}catch(e){};
+ try{this.getField(baseName+"theRng.max").value=oDR.y_max}catch(e){};
+}
+function getParaDom (baseName)
+{
+ var t_min, t_max;
+ if ( baseName == null )
+ return { t_min: \af@DefaultDomMint, t_max: \af@DefaultDomMaxt };
+ var f = this.getField(baseName+"theHiddenDom_t.min");
+ if ( f == null ) {
+ f = aGraphData[baseName].aDom_P;
+ if ( f == null )
+ aGraphData[baseName].aDom_P = {
+ t_min: \af@DefaultDomMint,
+ t_max: \af@DefaultDomMaxt };
+ } else {
+ t_min=eval(this.getField(baseName+"theHiddenDom_t.min").value);
+ t_max=eval(this.getField(baseName+"theHiddenDom_t.max").value);
+ aGraphData[baseName].aDom_P={ t_min: t_min, t_max: t_max };
+ }
+ return aGraphData[baseName].aDom_P;
+}
+function populateParaDom(baseName,oDp)
+{
+ try{this.getField(baseName+"theDom_t.min").value=oDp.t_min}
+ catch(e){};
+ try{this.getField(baseName+"theDom_t.max").value=oDp.t_max}
+ catch(e){};
+}
+function afWait4Activation (graph_props, baseName, pNum,%
+oDR, cPlotData, delay) {
+ var annotName = "afRM"+baseName;
+ scratchCounter += 1;
+ aTimeOutArray[scratchCounter] = app.setTimeOut(%
+'this.getAnnotRichMedia('+pNum+',"'
+ +annotName+'").callAS("getPlotData",'
+ + 'aTimeOutArray['+scratchCounter+'].graph_props,'
+ + 'aTimeOutArray['+scratchCounter+'].oDR,'
+ + 'aTimeOutArray['+scratchCounter+'].cPlotData)',50);
+ aTimeOutArray[scratchCounter].graph_props=graph_props;
+ aTimeOutArray[scratchCounter].oDR=oDR;
+ aTimeOutArray[scratchCounter].cPlotData=cPlotData;
+}
+function shiftHorVert (baseName,pNum,horVert,posNeg) {
+ var amtShift=baseName+"amtshift";
+ if ( horVert=="h" ) {
+ var LEP = baseName+"theDom.min";
+ var UEP= baseName+"theDom.max";
+ } else {
+ var amtShift=baseName+"amtshift";
+ var LEP = baseName+"theRng.min";
+ var UEP= baseName+"theRng.max";
+ }
+ var amtSft=this.getField(amtShift).value
+ amtSft=EvalParse(amtSft);
+ var gf_l=this.getField(LEP);
+ var gfv_l=Number(EvalParse(gf_l.value));
+ gf_l.value = (posNeg=="+") ?
+ (gfv_l+(Math.abs(amtSft))) : (gfv_l-(Math.abs(amtSft)));
+ gf_u=this.getField(UEP);
+ gfv_u=Number(EvalParse(gf_u.value));
+ gf_u.value = (posNeg=="+") ?
+ (gfv_u+(Math.abs(amtSft))) : (gfv_u-(Math.abs(amtSft)));
+ var g = aGraphData[baseName].aDomRngs;
+ var oPts = this.getField(baseName+"numNodes");
+ var nPts = ( oPts == null ) ? \af@defaultNumPoints : oPts.value;
+ if ( horVert=="h" ) {
+ g.x_min=gf_l.value;g.x_max=gf_u.value;
+ } else {
+ g.y_min=gf_l.value;g.y_max=gf_u.value;
+ }
+ var p = aGraphData[baseName].aDom_P;
+ for ( var o in aGraphData[baseName].current )
+ {
+ var gd = aGraphData[baseName].current[o];
+ gd.graph_props.populate=true;
+ if ( gd.graph_props.type=="cart" ) {
+ Graph_xy(gd.graph_props,baseName,pNum,
+ gd.appearFN,nPts,g);
+ } else { // gd.graph_props.type=="para"
+ Graph_xyt(gd.graph_props,baseName,pNum,
+ gd.appearFN,nPts,g,p);
+ }
+ }
+}
+function zoomInOut (baseName,pNum,posNeg) {
+ var amtShift=baseName+"amtshift";
+ var g = aGraphData[baseName].aDomRngs;
+ var oPts = this.getField(baseName+"numNodes");
+ var nPts = ( oPts == null ) ? \af@defaultNumPoints : oPts.value;
+// Begin horizontal calculations
+ var LEP = baseName+"theDom.min";
+ var UEP= baseName+"theDom.max";
+ var amtSft=this.getField(amtShift).value
+ amtSft=EvalParse(amtSft);
+ var gf_l=this.getField(LEP);
+ var gfv_l=Number(EvalParse(gf_l.value));
+ gf_l.value = (posNeg=="+") ?
+ (gfv_l+(Math.abs(amtSft))) : (gfv_l-(Math.abs(amtSft)));
+ gf_u=this.getField(UEP);
+ gfv_u=Number(EvalParse(gf_u.value));
+ gf_u.value = (posNeg=="+") ?
+ (gfv_u-(Math.abs(amtSft))) : (gfv_u+(Math.abs(amtSft)));
+% \end{macrocode}
+% Update the \texttt{aGraphData[baseName].aDomRngs} object for horizontal parameters
+% \begin{macrocode}
+ g.x_min=gf_l.value;
+ g.x_max=gf_u.value;
+// Begin vertical calculations
+ var LEP = baseName+"theRng.min";
+ var UEP= baseName+"theRng.max";
+ var gf_l=this.getField(LEP);
+ var gfv_l=Number(EvalParse(gf_l.value));
+ gf_l.value = (posNeg=="+") ?
+ (gfv_l+(Math.abs(amtSft))) : (gfv_l-(Math.abs(amtSft)));
+ gf_u=this.getField(UEP);
+ gfv_u=Number(EvalParse(gf_u.value));
+ gf_u.value = (posNeg=="+") ?
+ (gfv_u-(Math.abs(amtSft))) : (gfv_u+(Math.abs(amtSft)));
+% \end{macrocode}
+% Update the \texttt{aGraphData[baseName].aDomRngs} object for vertical parameters
+% \begin{macrocode}
+ g.y_min=gf_l.value;
+ g.y_max=gf_u.value;
+ var p = aGraphData[baseName].aDom_P;
+ for ( var o in aGraphData[baseName].current )
+ {
+ var gd = aGraphData[baseName].current[o];
+ if ( gd.graph_props.type=="cart" ) {
+ Graph_xy(gd.graph_props,baseName,pNum,
+ gd.appearFN,nPts,g);
+ } else { // gd.graph_props.type=="para"
+ Graph_xyt(gd.graph_props,baseName,pNum,
+ gd.appearFN,nPts,g,p);
+ }
+ }
+}
+function saveDelSelAction (baseName)
+{
+ var f = this.getField(baseName+"theFunction");
+ var s = this.getField(baseName+"ComboSelect");
+ if ( f != null && s != null ) {
+ var nIndx = s.currentValueIndices;
+ var cExportV=s.getItemAt(s.currentValueIndices,true);
+ var cAppearV=s.getItemAt(s.currentValueIndices,false);
+ if (event.shift) {
+ s.deleteItemAt(s.currentValueIndices);
+ s.insertItemAt(cAppearV,("<"+cAppearV+"\afunused>"),nIndx);
+ s.currentValueIndices=nIndx;
+ f.value="<"+cAppearV+"\afunused>";
+ } else {
+ var newFunc = f.value;
+ var newFunc_tmp = newFunc.replace(/\s/g,"");
+ if ( newFunc_tmp == "" ) {
+ app.alert({cTitle:"AcroFLeX Graphing",
+ cMsg:saveDelSelAlerti});
+ } else { // something there, let's test it
+ if(/\afploti/.test(cAppearV) ) {
+ if (ck4PtsRe.test(newFunc)) {
+ // A set of points to plot
+ s.deleteItemAt(s.currentValueIndices);
+ s.insertItemAt(cAppearV,newFunc,nIndx);
+ s.currentValueIndices=nIndx;
+ } else {/* does not appear to be a point */
+ app.alert({cTitle:"AcroFLeX Graphing",
+ cMsg:saveDelSelAlertii});
+ }
+ } else {/* not plot, must be curve*/
+ s.deleteItemAt(s.currentValueIndices);
+ s.insertItemAt(cAppearV,newFunc,nIndx);
+ s.currentValueIndices=nIndx;
+ }
+ }
+ }
+ }
+}
+function graphBtnAction (baseName,pNum)
+{
+ var s = this.getField(baseName+"ComboSelect");
+ var d;
+ var d, plot_curve="c1";
+ if ( s != null ) {
+ var nIndx = s.currentValueIndices;
+ var cAppearV=s.getItemAt(s.currentValueIndices,false);
+ if ( ( d = /\afploti\s+(\d)/.exec(cAppearV) ) != null ) {
+ plot_curve="p"+d[1];
+ } else {
+ if ( ( d = /\afcurvei\s+(\d)/.exec(cAppearV) ) != null ) {
+ plot_curve="c"+d[1];
+ } else {
+ app.alert({cTitle:"AcroFLeX Graphing",
+ cMsg:graphBtnAlerti});
+ }
+ }
+ }
+ Graph_xy({graph:plot_curve},baseName,pNum);
+}
+function afsplitInterval(cInterval)
+{
+ var aDomTmp=stripBrackets(cInterval);
+ aDomTmp=aDomTmp.split(",");
+ return { LEP: aDomTmp[0], UEP: aDomTmp[1] };
+}
+\end{newsegment}
+\begin{newsegment}{AF: Keystroke/Formatting Functions}
+function keystrokeDomRng (fname)
+{
+ if (event.willCommit) {
+ var retn = ParseInput(event.value);
+ if ( !retn ) event.rc = false;
+ else {
+ try { eval ( retn ) }
+ catch(e) {
+ app.alert({cTitle:"AcroFLeX Graphing",
+ cMsg:badNumberMsg});
+ event.rc=false;
+ };
+ }
+ }
+}
+function formatFileInput (fname)
+{
+ this.getField(fname).value = ParseInput(event.value);
+}
+function formatVarIntervals (fname)
+{
+ var val = Number(EvalParse(event.value));
+ this.getField(fname).value = val;
+}
+function formatFunctionInput (fname)
+{
+ var val = ParseInput(event.value);
+ this.getField(fname).value = val;
+}
+function keystrokeFunctionInput ()
+{
+ if (event.willCommit) {
+ var str = event.value.replace(/\s/g,"");
+ if ( str == "" ) {
+ app.alert({cTitle:"AcroFleX Graphing",
+ cMsg:saveDelSelAlerti});
+ event.rc = false;
+ }
+ }
+}
+function keystrokeNumPoints ()
+{
+ try{
+ var val = Number(EvalParse(event.value));
+ } catch(e) {
+ app.alert({cTitle:"AcroFLeX Graphing",
+ cMsg:badNumberMsg});
+ event.rc=false;
+ return;
+ }
+ if ( val < 0 ) {
+ app.alert({cTitle:"AcroFLeX Graphing",
+ cMsg:negNumberMsg});
+ } else {
+ if ( val == 0 ) {
+ app.alert({cTitle:"AcroFLeX Graphing",
+ cMsg:zeroNumberMsg});
+ val = \af@defaultNumPoints;
+ }
+ }
+ event.value = Math.ceil(Math.abs(val));
+}
+function keystrokeAmtShift()
+{
+ try{
+ var val = Number(EvalParse(event.value));
+ } catch(e) {
+ app.alert({cTitle:"AcroFLeX Graphing",
+ cMsg:badNumberMsg});
+ event.rc=false;
+ return;
+ }
+ if ( val < 0 ) {
+ app.alert({cTitle:"AcroFLeX Graphing",
+ cMsg:negShiftMsg});
+ } else {
+ if ( val == 0 ) {
+ app.alert({cTitle:"AcroFLeX Graphing",
+ cMsg:zeroShiftMsg});
+ val = 1;
+ }
+ }
+ event.value = Math.abs(val);
+}
+\end{newsegment}
+\begin{newsegment}{AF: Support for Custom Graphing Problems}
+% \end{macrocode}
+% A general purpose function for graphing that takes into consideration all the
+% parameters. This is used by the \cs{sgraphLink} and for any JS code that uses
+% custom methods. The command \cs{defineGraphJS} is used to set up the parameters
+% for this function..
+% \begin{macrocode}
+function Graph_xytJS (func,xI,yI,xP,tI,graph,populate,wait,%
+type,form,gName,nPts) {
+ var oDom = afsplitInterval(xI);
+ var oRng = afsplitInterval(yI);
+ var oPlotD = afsplitInterval(xP);
+ var oP=new Object(), oD=new Object(), oDt=new Object();
+ oP.graph=graph;
+ oP.populate=populate;
+ oP.wait=wait;
+ if (type!="") oP.type=type;
+ if (form!="") oP.form=form;
+ oD={x_min:oDom.LEP,x_max:oDom.UEP,y_min:oRng.LEP,y_max:oRng.UEP,x_l:oPlotD.LEP,x_u:oPlotD.UEP};
+ if ( tI=="") {
+ Graph_xy(oP,gName,this.pageNum,func,nPts,oD);
+ } else {
+ var oDom_t = afsplitInterval(tI);
+ oDt={t_min:oDom_t.LEP,t_max:oDom_t.UEP};
+ Graph_xyt(oP,gName,this.pageNum,func,nPts,oD,oDt);
+ }
+}
+\end{newsegment}
+\end{insDLJS*}
+% \end{macrocode}
+% Lastly, we define a \texttt{willClose} code and an \texttt{execJS}
+% code. The first comes in on the ``developer's hook'' so the user
+% can still use the \texttt{willClose} environment without disturbing
+% this code. When the document starts to close, we deactivate all
+% rich media annotations, to prevent exceptions from being thrown.
+% \begin{macrocode}
+\begin{defineJS}{\af@WillClose}
+for (var n=0; n<this.numPages; n++) {
+ var rm = this.getAnnotsRichMedia(n);
+ if ( rm != undefined) {
+ for (var i=0; i<rm.length; i++ ) rm[i].activated=false;
+ }
+}
+\end{defineJS}
+% \end{macrocode}
+% We save any other developer \texttt{willClose} code, and define ours, after
+% replacing any older developer \texttt{willClose} code.
+% \begin{macrocode}
+\let\af@save@developer@will@Close\developer@will@Close
+\def\developer@will@Close{%
+ \af@save@developer@will@Close
+ \af@WillClose
+}
+% \end{macrocode}
+% We reset only the form fields in the document created by \textsf{acroflex} and use
+% a format script. What this does is to make Acrobat execute the format code
+% of any text field (or combo box). The formatting code I've placed causes
+% the default functions and values such as \verb!x^2! to be parse, and place
+% in the hidden field. This code is used only once when the document is
+% first opened by Acrobat then thrown away. The document author needs to
+% save the document after opening.
+% \begin{macrocode}
+\begin{execJS}{afreset}
+% try {this.resetForm()} catch(e){};
+var aResetFields=new Array();
+var fname;
+var re=/theFunction|theDom|theRng/;
+for (var i=0; i< this.numFields; i++) {
+ fname = this.getNthFieldName(i);
+ if ( re.test(fname) ) aResetFields.push(fname);
+}
+if (aResetFields.length !=0)
+ try {this.resetForm(aResetFields)} catch(e){};
+\end{execJS}
+% \end{macrocode}
+% We input a customization file for the document author to enter language localizations
+% for the tooltip, for example. This file can be placed in the folder of the source file
+% of elsewhere on the {\LaTeX} search path.
+% \begin{macrocode}
+\InputIfFileExists{\af@lang@type}{}{%
+ \PackageWarning{acroflex}{Could not find the language file
+ \af@lang@type,\MessageBreak please place this file on the latex
+ search path.}
+}
+% \end{macrocode}
+%\changes{v1.6}{2015/10/13}{Restore catcodes of subscript and superscript}
+% Restore catcodes of subscript and superscript to other.
+% \begin{macrocode}
+\af@restoreCats
+%</package>
+% \end{macrocode}
+% \section{History}
+% This initial roll-out of {\AcroFLeX} occurred on 07/06/08 with version v0.4e.
+% Changes since then are listed below.
+%\begin{itemize}
+% \item (2008/09/26 v0.5b) System freezes when the \cs{domMinP} and \cs{domMaxP} macros are not present, and the
+% user enters a function of $t$. Put in some tests to prevent this from happening.
+% \item (2008/09/23 v0.5a) Fixed a problem that JS goes into an infinite loop when a non-functional
+% expression is in the function input field.
+% \item (2008/07/26 v0.5) Worked on compatibility issues with the \texttt{unicode} option of \textsf{hyperref}.
+% Defined two commands \cs{eq@nuDV} and \cs{eq@nuV} (in \textsf{eforms}) which prevents hyperref from converting the text to
+% octal notation. These are used in the fields that take functions as their initial values, now \verb!x^2!
+% does not raise a problem with hyperref even when in unicode mode. Also, made some changes to eforms.dtx
+% concerning \cs{r} and \cs{t}. When in unicode mode, these two have to be redefined to \cs{textCR} and
+% \cs{textHT}, respectively.
+% \item (2008/07/24 v0.4g) Fixed a problem with entering points through the user interface. Now fixed.
+% \item (2008/07/18 v0.4f) Identified a problem with parametric equations (interactive mode),
+% when one of the expressions involves a power. The system went into an infinite loop, jumping
+% between \texttt{Graph\_xy} and \texttt{Graph\_xyt}. Changed the early test to \texttt{theFunction}
+% rather than \texttt{theHiddenFunction}.
+% \item[] Added the new series \texttt{a1}, \texttt{a2}, \texttt{a3}, and \texttt{a4} as values of the graph key of \cs{sgraphLink}. These are similar to the c counterparts, but
+% shade in the graph between the x-axis and the graph. For parametric equations, the results seem
+% good, but could be unpredictable.
+%\end{itemize}
+% \Finale
+\endinput