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author | Karl Berry <karl@freefriends.org> | 2013-03-02 01:12:44 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2013-03-02 01:12:44 +0000 |
commit | 36f9061a512acdc9fa1866e89fa967b0bae3464c (patch) | |
tree | 0c6c8dbe8468ef6a3f827f28166fa35c5ef93b99 /Master/texmf-dist/doc/latex/scalerel | |
parent | 6b9ce3b95f36f4da56f4ed73515ce224f956e7f5 (diff) |
scalerel (28feb13)
git-svn-id: svn://tug.org/texlive/trunk@29261 c570f23f-e606-0410-a88d-b1316a301751
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diff --git a/Master/texmf-dist/doc/latex/scalerel/scalerel.pdf b/Master/texmf-dist/doc/latex/scalerel/scalerel.pdf Binary files differnew file mode 100644 index 00000000000..f7f4bc78681 --- /dev/null +++ b/Master/texmf-dist/doc/latex/scalerel/scalerel.pdf diff --git a/Master/texmf-dist/doc/latex/scalerel/scalerel.tex b/Master/texmf-dist/doc/latex/scalerel/scalerel.tex new file mode 100644 index 00000000000..1355ef516d4 --- /dev/null +++ b/Master/texmf-dist/doc/latex/scalerel/scalerel.tex @@ -0,0 +1,221 @@ +\documentclass{article} +\def\version{1.0} +\parskip 1em +\parindent 0em +\newcommand\rl{\rule{3em}{0in}} +\usepackage{scalerel} +\usepackage{verbatim} + +\begin{document} +\begin{center} +\LARGE The \textsf{scalerel} Package\\ +\rule{0em}{.7em}\small Routines for constrained scaling and stretching +of objects, either relative to a reference object or in absolute terms\\ +\rule{0em}{2.7em}\large Steven B. Segletes\\ +steven.b.segletes.civ@mail.mil\\ +\rule{0em}{1.7em}\today\\ +v\version +\end{center} + +\section{Commands and Description} +The \textsf{scalerel} package is used to scale and vertically stretch +objects, either relative to other objects, or in absolute terms. Its +commands may be invoked in either math mode or text mode (if there is no +math in the objects to manipulate); however, the objects it manipulates +will, by default, be processed in math mode. Nonetheless, one may +process the objects in text mode (assuming they do not contain +math-specific characters or commands) by specifying arguments as +\verb|{$object$}|, instead of the usual \verb|{object}|. + +There are four basic commands with the \textsf{scalerel} package, two +of which have star variants: +\begin{verbatim} + \scalerel[*][max_width]{object}{reference} + \stretchrel[*][min_aspect]{object}{reference} + \scaleto[max_width]{object}{height} + \stretchto[min_aspect]{object}{height} +\end{verbatim} +In all cases, \verb|object| is the object to be scaled or vertically +stretched. It can be as simple as a symbol, like a summation sign +($\sum$), or it can be an object of complex description. Likewise, in +cases of \textit{relative} scaling and stretching, \verb|reference| is +the reference object in relation to which the manipulated +\verb|object| is scaled or vertically stretched. The \verb|reference| +may likewise be of complex description (such as a mathematical +expression). When an \verb|object| is scaled or stretched +\textit{relative} to a \verb|reference| object, it is also vertically +shifted, if necessary, so that its vertical extent conforms to that of +the \verb|reference| object. + +In cases of scaling or stretching \textit{to} a specified size, +\verb|height| will the final vertical height of \verb|object| following +a scale or stretch manipulation. Since scaling or stretching to an +absolute size provides no \verb|reference| object, the baseline of +manipulated \verb|object| remains unchanged. + +In cases of scaling (relative or absolute), the constraint +\verb|max_width| is optionally specified as the maximum width allowable +for the manipulated object. If the manipulated width would otherwise +exceed this limit, the +\verb|object| width is scaled back to this limit. If the \verb|object| +width is scaled back, its aspect ratio will change with respect to its +original shape. + +By definition, vertical stretching will change the aspect ratio of an +object. In the case of stretching (relative or absolute), the +constraint \verb|min_aspect| is the minimum aspect ratio allowed by the +stretch. Its value is given in \%, such that a parameter value of +\texttt{100} indicates 100\% or an aspect ratio of 1. If the stretch +would otherwise cause the manipulated \verb|object|'s aspect ratio to +fall below this value, the width of the manipulated \verb|object| is +increased to meet this minimum threshold. The value of +\verb|min_aspect| must be an integer. + +Because \textit{relative} scaling or stretching is done +\textit{relative} to a reference object, the \verb|\scalerel| and +\verb|\stretchrel| commands will, by default, print out the +manipulated \verb|object| followed immediately by the \verb|reference| +object. Because this may not always be desired, the star (*) version of +these commands suppresses the output of the \verb|reference| object, so +that only the \verb|object| that was manipulated is output. + +\section{Examples} + +Now for a few examples. Let us define +\begin{verbatim} + \def\preblob{\displaystyle\sum_{i=0}^3} + \def\blob{\displaystyle\frac{\displaystyle\frac{x^3}{z+r^3}}% + {\displaystyle\frac{y}{x^2}}% + } +\end{verbatim} + \def\preblob{\displaystyle\sum_{i=0}^3} + \def\blob{\displaystyle\frac{\displaystyle\frac{x^3}{z+r^3}}% + {\displaystyle\frac{y}{x^2}}% + } +Here are the raw definitions of \verb|$\preblob\blob$|, unscaled: + + \rl$\preblob\blob$ + +\subsection{The $\backslash$\texttt{scalerel} Command} + +Now we employ \verb|$\scalerel{\preblob}{\blob}$| + + \rl$\scalerel{\preblob}{\blob}$ + +If we wish constrain the width of the summation to 3ex, we employ\\ +\verb|$\scalerel[3ex]{\preblob}{\blob}$| + + \rl$\scalerel[3ex]{\preblob}{\blob}$ + +Of course, if the manipulated object contains text symbols, a width +constraint will change their aspect ratio, which may not be desirable. + +Now let's say you wanted to introduce notation to bound mathematical +expressions by triangles. After defining +\verb|\blob| as before, you could use\\ +\verb|$\scalerel[3ex]{\triangleleft}{\blob}|\\ +\verb|\scalerel*[3ex]{\triangleright}{\blob}$| + +\rl% +$\scalerel[3ex]{\triangleleft}{\blob}\scalerel*[3ex]{\triangleright}{\blob}$ + +Here, the second call to \verb|\scalerel| was with the star (\verb|*|) +option, indicating that \verb|\blob| should not be printed out following +the right-hand delimiter. A less-tall expression would appear in those +same delimiters as + +\rl% +$\scalerel[3ex]{\triangleleft}{Q}\scalerel*[3ex]{\triangleright}{Q}$ + +Because the width limit had not been reached, no horizontal compression +of the object was required. + +\subsection{The $\backslash$\texttt{stretchrel} Command} + +In its most simple application \verb|\stretchrel| can be used in the +fashion of a \verb|\left\{| in math mode. While there is no reason to +replace that more efficient usage supplied by \LaTeX{}, it is +nonetheless instructional to see a comparison of +\verb|$\left\{\blob\right.$| and \verb|$\stretchrel[400]{\{}{\blob}$|, to +see how the aspect-ratio limiting option can be employed to avoid an +overly stretched manipulation: + +\rl$\left\{\blob\right.$ ~~~~~ $\stretchrel[400]{\{}{\blob}$ + +The expression on the right uses a standard \{ character, which has been +vertically stretched, but limited to an aspect ratio of 4. To use +symbols for which the \verb|\left| nomenclature will not work, +\verb|\stretchrel| provides a viable alternative, as shown in this +stick-figure example:\\ +\verb|3m $\stretchrel[500]{\updownarrow\,}|\\ +\verb|{\fbox{\rule[-1.8em]{0ex}{4em}Work Table}}$| + +\rl3m $\stretchrel[500]{\updownarrow\,} + {\fbox{\rule[-1.8em]{0ex}{4em}Work Table}}$ + +or in this use, \verb|$\stretchrel[225]{\int}{\blob} dx$|, of the +stretched integral sign (aspect limited to 2.25): + +\rl$\stretchrel[225]{\int}{\blob} dx$ + + +\subsection{Baseline Shifts of \textit{Relative} Scales and Shifts} + +It was mentioned that when \verb|\scalerel| and \verb|\stretchrel| are +employed, the manipulated object gets vertically shifted to match the +extent of the reference object. To see how this works, we provide the +following example, that employs some inline math. and scaling. + +\rl\underline{The baseline is the line that runs under this text} +\fbox{$\scalerel{i}{\blob}$}\underline{\scaleto{i}{43.32pt}} + +The first case of the large letter ``i'' was generated with +\verb|\scalerel|, and so the baseline of the ``i'', normally not a +descending letter, was dropped to conform to the descended reference +equation. All of this was set in an \verb|\fbox| to show the extent of +the objects. For comparison, an ``i'' of the samesize was then placed +using a \verb|\scaleto| command, which does not change the baseline of +the original object. + +\subsection{The $\backslash$\texttt{scaleto} and +$\backslash$\texttt{stretchto} Commands} + +The \verb|\scaleto| and \verb|\stretchto| commands are comparable to the +\verb|\scalerel| and \verb|\stretchrel| commands, except they do not +accept a reference object as their second mandatory argument. Rather, +they take an absolute height (specified with units). These commands use +the same optional arguments as \verb|\scalerel| and \verb|\stretchrel| +to constrain the width and/or the aspect ratio, respectively, of the +manipulated object. + +As was mentioned in the prior section, a difference between these and +the \textit{relative} commands is that an object's baseline is not +altered with the use of \verb|\scaleto| and \verb|\stretchto|. Because +there is no reference object employed with these commands, there is no +need for starred (\verb|*|) versions of these commands, which would +otherwise suppress the printing of the reference object. + +Examples follow the established pattern established in prior sections. +First, we scale the equation blob used as an example in this +documentation to a vertical extent of 80pt, preserving the original +aspect ratio, + +\rl\verb|$\scaleto{\blob}{80pt}$ | $\scaleto{\blob}{80pt}$ + +Then, we stretch the Greek letter, capital phi, to 60pt, but constrain +the aspect ratio to no less than 1.75. + +\rl\verb|$\stretchto[175]{\Phi}{60pt}$ | $\stretchto[175]{\Phi}{80pt}$ + +\section{Future Development} + +It would be relatively straightforward to extend this approach to +horizontal scaling problems. However, it is not exactly clear to the +author what format is best suited for user needs. If he gets feedback +in that regard, it will inform him how best to proceed. + +\section{Code Listing} + +\verbatiminput{scalerel.sty} + +\end{document} |