Commit | Line | Data |
---|---|---|
86f6a31e | 1 | % \begin{meta-comment} <general public licence> |
2 | %% | |
3 | %% mdwmath package -- various nicer mathematical things | |
8bc5bdd2 | 4 | %% Copyright (c) 2003, 2020 Mark Wooding |
86f6a31e | 5 | %% |
3d509049 | 6 | %% This file is part of the `mdwtools' LaTeX package collection. |
86f6a31e | 7 | %% |
3d509049 MW |
8 | %% `mdwtools' is free software: you can redistribute it and/or modify it |
9 | %% under the terms of the GNU General Public License as published by the | |
10 | %% Free Software Foundation; either version 2 of the License, or (at your | |
11 | %% option) any later version. | |
12 | %% | |
13 | %% `mdwtools' is distributed in the hope that it will be useful, but | |
14 | %% WITHOUT ANY WARRANTY; without even the implied warranty of | |
15 | %% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
16 | %% General Public License for more details. | |
86f6a31e | 17 | %% |
18 | %% You should have received a copy of the GNU General Public License | |
3d509049 MW |
19 | %% along with `mdwtools'. If not, write to the Free Software Foundation, |
20 | %% Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. | |
86f6a31e | 21 | %% |
22 | % \end{meta-comment} | |
23 | % | |
24 | % \begin{meta-comment} <Package preamble> | |
25 | %<+package>\NeedsTeXFormat{LaTeX2e} | |
26 | %<+package>\ProvidesPackage{mdwmath} | |
af8af7eb | 27 | %<+package> [2020/09/06 1.14.0 Nice mathematical things] |
86f6a31e | 28 | % \end{meta-comment} |
29 | % | |
a1af3c0e | 30 | % \CheckSum{727} |
86f6a31e | 31 | %% \CharacterTable |
32 | %% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z | |
33 | %% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z | |
34 | %% Digits \0\1\2\3\4\5\6\7\8\9 | |
35 | %% Exclamation \! Double quote \" Hash (number) \# | |
36 | %% Dollar \$ Percent \% Ampersand \& | |
37 | %% Acute accent \' Left paren \( Right paren \) | |
38 | %% Asterisk \* Plus \+ Comma \, | |
39 | %% Minus \- Point \. Solidus \/ | |
40 | %% Colon \: Semicolon \; Less than \< | |
41 | %% Equals \= Greater than \> Question mark \? | |
42 | %% Commercial at \@ Left bracket \[ Backslash \\ | |
43 | %% Right bracket \] Circumflex \^ Underscore \_ | |
44 | %% Grave accent \` Left brace \{ Vertical bar \| | |
45 | %% Right brace \} Tilde \~} | |
46 | %% | |
47 | % | |
48 | % \begin{meta-comment} | |
49 | % | |
50 | %<*driver> | |
51 | \input{mdwtools} | |
52 | \let\opmod\pmod | |
53 | \usepackage{amssymb} | |
54 | \describespackage{mdwmath} | |
86f6a31e | 55 | \mdwdoc |
56 | %</driver> | |
57 | % | |
58 | % \end{meta-comment} | |
59 | % | |
60 | % \section{User guide} | |
61 | % | |
62 | % \subsection{Square root typesetting} | |
63 | % | |
64 | % \DescribeMacro{\sqrt} | |
65 | % The package supplies a star variant of the |\sqrt| command which omits the | |
66 | % vinculum over the operand (the line over the top). While this is most | |
67 | % useful in simple cases like $\sqrt*{2}$ it works for any size of operand. | |
68 | % The package also re-implements the standard square root command so that it | |
69 | % positions the root number rather better. | |
70 | % | |
71 | % \begin{figure} | |
72 | % \begin{demo}[w]{Examples of the new square root command} | |
73 | %\[ \sqrt*{2} \quad \mbox{rather than} \quad \sqrt{2} \] | |
74 | %\[ \sqrt*[3]{2} \quad \mbox{ rather than } \quad \sqrt[3]{2} \] | |
75 | %\[ \sqrt{x^3 + \sqrt*[y]{\alpha}} - \sqrt*[n+1]{a} \] | |
76 | %\[ x = \sqrt*[3]{\frac{3y}{7}} \] | |
77 | %\[ q = \frac{2\sqrt*{2}}{5}+\sqrt[\frac{n+1}{2}]{2x^2+3xy-y^2} \] | |
78 | % \end{demo} | |
79 | % \end{figure} | |
80 | % | |
81 | % [Note that omission of the vinculum was originally a cost-cutting exercise | |
82 | % because the radical symbol can just fit in next to its operand and | |
83 | % everything ends up being laid out along a line. However, I find that the | |
84 | % square root without vinculum is less cluttered, so I tend to use it when | |
85 | % it doesn't cause ambiguity.] | |
86 | % | |
87 | % \subsection{Modular arithmetic} | |
88 | % | |
89 | % In standard maths mode, there's too much space before the parentheses in | |
90 | % the output of the |\pmod| command. Suppose that $x \equiv y^2 \opmod n$: | |
91 | % then the spacing looks awful. Go on, admit it. | |
92 | % | |
93 | % It looks OK in a display. For example, if | |
94 | % \[ c \equiv m^e \opmod n \] | |
95 | % then it's fine. The package redefines the |\pmod| command to do something | |
96 | % more sensible. So now $c^d \equiv m^{ed} \equiv m \pmod n$ and all looks | |
97 | % fine. | |
98 | % | |
99 | % \subsection{Some maths symbols you already have} | |
100 | % | |
101 | % \DescribeMacro\bitor | |
102 | % \DescribeMacro\bitand | |
103 | % \DescribeMacro\dblor | |
104 | % \DescribeMacro\dbland | |
105 | % Having just tried to do some simple things, I've found that there are maths | |
106 | % symbols missing. Here they are, in all their glory: | |
107 | % \begin{center} \unverb\| \begin{tabular}{cl|cl|cl} | |
eafdddad MW |
108 | % $\&$ & "\&" & $\bitor$ & "\bitor" & $\dbland$ & "\dbland" \\ |
109 | % $\bitand$ & "\bitand" & $\dblor$ & "\dblor" & | |
86f6a31e | 110 | % \end{tabular} \end{center} |
111 | % | |
112 | % \DescribeMacro\xor | |
113 | % \DescribeMacro\cat | |
114 | % I also set up the |\xor| command to typeset `$\xor$', which is commonly | |
115 | % used to represent the bitsize exclusive-or operation among cryptographers. | |
116 | % The command |\cat| typesets `$\cat$', which is a common operator indicating | |
117 | % concatenation of strings. | |
118 | % | |
119 | % \DescribeMacro\lsl | |
120 | % \DescribeMacro\lsr | |
121 | % \DescribeMacro\rol | |
122 | % \DescribeMacro\ror | |
123 | % The commands |\lsl| and |\lsr| typeset binary operators `$\lsl$' and | |
124 | % `$\lsr$' respectively, and |\rol| and |\ror| typeset `$\rol$' and `$\ror$'. | |
125 | % Note that these are spaced as binary operators, rather than relations. | |
126 | % | |
127 | % \DescribeMacro\compose | |
128 | % \DescribeMacro\implies | |
129 | % \DescribeMacro\vect | |
130 | % The |\compose| command typesets `$\compose$', which is usually used to | |
131 | % denote function composition. The |\implies| command is made to typeset | |
132 | % `$\implies$'. And \syntax{"\\vect{"<x>"}"} typesets `$\vect{x}$'. | |
133 | % | |
134 | % \DescribeMacro\statclose | |
135 | % \DescribeMacro\compind | |
136 | % The |\statclose| command typesets `$\statclose$', which indicates | |
137 | % `statistical closeness' of probability distributions; |\compind| typesets | |
138 | % `$\compind$', which indicates computational indistinguishability. | |
139 | % | |
4a655c6f | 140 | % \subsection{Fractions} |
141 | % | |
142 | % \DescribeMacro\fracdef | |
143 | % We provide a general fraction system, a little tiny bit like | |
144 | % \package{amsmath}'s |\genfrac|. Say | |
145 | % \syntax{"\\fracdef{"<name>"}{"<frac-params>"}"} to define a new | |
146 | % |\frac|-like operator. The \<frac-params> are a comma-separated list of | |
147 | % parameters: | |
148 | % \begin{description} | |
149 | % \item[\lit*{line}] Include a horizontal line between the top and bottom | |
150 | % (like |\frac|). | |
151 | % \item[\lit*{line=}\<length>] Include a horizontal line with width | |
152 | % \<length>. | |
153 | % \item[\lit*{noline}] Don't include a line (like |\binom|). | |
154 | % \item[\lit*{leftdelim=}\<delim>] Use \<delim> as the left-hand delimiter. | |
155 | % \item[\lit*{rightdelim=}\<delim>] Use \<delim> as the right-hand delimiter. | |
156 | % \item[\lit*{nodelims}] Don't include delimiters. | |
157 | % \item[\lit*{style=}\<style>] Typeset the fraction in \<style>, which is one | |
158 | % of |display|, |text|, |script| or |scriptscript|. | |
159 | % \item[\lit*{style}] Use the prevailing style for the fraction. | |
160 | % \item[\lit*{innerstyle=}\<style>] Typeset the \emph{components} of the | |
161 | % fraction in \<style>. | |
162 | % \item[\lit*{innerstyle}] Typeset the fraction components according to the | |
163 | % prevailing style. | |
164 | % \end{description} | |
165 | % The commands created by |\fracdef| have the following syntax: | |
166 | % \syntax{<name>"["<frac-params>"]{"<top>"}{"<bottom>"}"}. Thus, you can use | |
167 | % the optional argument to `tweak' the fraction if necessary. This isn't | |
168 | % such a good idea to do often. | |
169 | % | |
170 | % \DescribeMacro\frac | |
171 | % \DescribeMacro\binom | |
86f6a31e | 172 | % \DescribeMacro\jacobi |
4a655c6f | 173 | % The macros |\frac|, |\binom| and |\jacobi| are defined using |\fracdef|. |
174 | % They typset $\frac{x}{y}$, $\binom{n}{k}$ and $\jacobi{x}{n}$ respectively. | |
175 | % (The last may be of use to number theorists talking about Jacobi or | |
176 | % Lagrange symbols.) | |
177 | % | |
178 | % By way of example, these commands were defined using | |
179 | %\begin{verbatim} | |
180 | %\fracdef\frac{nodelims, line} | |
181 | %\fracdef\binom{leftdelim = (, rightdelim = ), noline} | |
182 | %\fracdef\jacobi{leftdelim = (, rightdelim = ), line} | |
183 | %\end{verbatim} | |
86f6a31e | 184 | % |
185 | % \subsection{Rant about derivatives} | |
186 | % | |
187 | % \DescribeMacro\d | |
188 | % There is a difference between UK and US typesetting of derivatives. | |
189 | % Americans typeset | |
190 | % \[ \frac{dy}{dx} \] | |
191 | % while the British want | |
192 | % \[ \frac{\d y}{\d x}. \] | |
4a655c6f | 193 | % The command |\d| command is fixed to typeset a `$\d$'. (In text mode, |
194 | % |\d{x}| still typesets `\d{x}'.) | |
86f6a31e | 195 | % |
196 | % \subsection{New operator names} | |
197 | % | |
198 | % \DescribeMacro\keys | |
199 | % \DescribeMacro\dom | |
200 | % \DescribeMacro\ran | |
201 | % \DescribeMacro\supp | |
202 | % \DescribeMacro\lcm | |
4a655c6f | 203 | % \DescribeMacro\ord |
204 | % \DescribeMacro\poly | |
205 | % \DescribeMacro\negl | |
86f6a31e | 206 | % A few esoteric new operator names are supplied. |
207 | % \begin{center} \unverb\| \begin{tabular}{cl|cl|cl} | |
eafdddad MW |
208 | % $\keys$ & "\keys" & $\dom$ & "\dom" & $\ran$ & "\ran" \\ |
209 | % $\supp$ & "\supp" & $\lcm$ & "\lcm" & $\ord$ & "\ord" \\ | |
210 | % $\poly$ & "\poly" & $\negl$ & "\negl" | |
86f6a31e | 211 | % \end{tabular} \end{center} |
212 | % I think |\lcm| ought to be self-explanatory. The |\dom| and |\ran| | |
213 | % operators pick out the domain and range of a function, respectively; thus, | |
214 | % if $F\colon X \to Y$ is a function, then $\dom F = X$ and $\ran F = Y$. | |
215 | % The \emph{support} of a probability distribution $\mathcal{D}$ is the set | |
216 | % of objects with nonzero probability; i.e., $\supp{D} = \{\, x \in | |
4a655c6f | 217 | % \dom\mathcal{D} \mid \mathcal{D}(x) > 0 \,\}$. If $g \in G$ is a group |
218 | % element then $\ord g$ is the \emph{order} of $g$; i.e., the smallest | |
219 | % positive integer $i$ where $g^i$ is the identity element, or $0$ if there | |
220 | % is no such $i$. $\poly(n)$ is some polynomial function of $n$. A function | |
221 | % $\nu(\cdot)$ is \emph{negligible} if, for every polynomial function | |
222 | % $p(\cdot)$, there is an integer $N$ such that $\nu(n) < 1/p(n)$ for all $n | |
223 | % > N$; $\negl(n)$ is some negligible function of $n$. | |
86f6a31e | 224 | % |
4a576d39 MW |
225 | % \DescribeMacro\defop |
226 | % New operators can be defined using |\defop|: | |
227 | % \begin{quote} \syntax{"\\defop"["*"]"{"<command>"}{"<text>"}"} \end{quote} | |
228 | % defines \<command> to be an operator which typesets \<text>. By default, | |
229 | % limits will be placed above and below the operator in display style; with | |
230 | % |*|, limits are always written as super- and subscripts. | |
231 | % | |
86f6a31e | 232 | % \subsection{Standard set names} |
233 | % | |
234 | % \DescribeMacro\Z | |
235 | % \DescribeMacro\Q | |
236 | % \DescribeMacro\R | |
237 | % \DescribeMacro\C | |
238 | % \DescribeMacro\N | |
239 | % \DescribeMacro\F | |
240 | % \DescribeMacro\powerset | |
4a655c6f | 241 | % \DescribeMacro\gf |
86f6a31e | 242 | % If you have a |\mathbb| command defined, the following magic is revealed: |
243 | % \begin{center} \unverb\| \begin{tabular}{cl|cl|cl} | |
244 | % $\Z$ & "\Z" & $\Q$ & "\Q" & $\R$ & "\R" \\ | |
245 | % $\N$ & "\N" & $\F$ & "\F" & $\C$ & "\C" | |
246 | % \end{tabular} \end{center} | |
247 | % which are handy for various standard sets of things. Also the |\powerset| | |
4a655c6f | 248 | % command typesets `$\powerset$', and \syntax{"\\gf{"<q>"}"}, which by default |
249 | % typesets $\gf{\syntax{<q>}}$ but you might choose to have it set | |
250 | % $\mathrm{GF}(\syntax{<q>})$ intead. | |
251 | % | |
252 | % \subsection{Biggles} | |
253 | % | |
254 | % \DescribeMacro\bbigg | |
255 | % \DescribeMacro\bbiggl | |
256 | % \DescribeMacro\bbiggr | |
257 | % \DescribeMacro\bbiggm | |
258 | % The |\bbigg| commands generalizes the Plain \TeX\ |\bigg| family of | |
259 | % macros. |\bbigg| produces an `ordinary' symbol; |\bbiggl| and |\bbiggr| | |
260 | % produce left and right delimiters; and |\bbiggm| produces a relation. They | |
261 | % produce symbols whose size is related to the prevailing text size -- so | |
262 | % they adjust correctly in chapter headings, for example. | |
263 | % | |
264 | % The syntax is straightforward: | |
265 | % \syntax{"\\"<bigop>"["$a$"]{"$n$"}{"<delim>"}"}. Describing it is a bit | |
266 | % trickier. The size is based on the current |\strut| height. If |\strut| | |
267 | % has a height of $h$ and a depth of $d$, then the delimiter produced has a | |
268 | % height of $n \times (h + d + a)$. | |
269 | % | |
270 | % The old |\big| commands have been redefined in terms of |\bbigg|. | |
86f6a31e | 271 | % |
272 | % \subsection{The `QED' symbol} | |
273 | % | |
274 | % \DescribeMacro\qed | |
275 | % \DescribeMacro\qedrule | |
276 | % For use in proofs of theorems, we provide a `QED' symbol which behaves well | |
277 | % under bizarre line-splitting conditions. To use it, just say |\qed|. The | |
278 | % little `\qedrule' symbol is available on its own, by saying |\qedrule|. | |
279 | % This also sets |\qedsymbol| if it's not set already. | |
280 | % \qed | |
281 | % | |
3ba7380e MW |
282 | % \subsection{Punctuation in displays} |
283 | % | |
284 | % It's conventional to follow displayed equations with the necessary | |
285 | % punctuation for them to fit into the surrounding prose. This isn't | |
286 | % universal: Ian Stewart says in the preface to the third edition of his | |
287 | % \emph{Galois Theory}:\footnote{^^A | |
288 | % Chapman \& Hall/CRC Mathematics, 2004; ISBN 1-58488-393-6.} ^^A | |
289 | % \begin{quote} | |
290 | % Along the way I made once change that may raise a few eyebrows. I have | |
291 | % spent much of my career telling students that written mathematics should | |
292 | % have punctuation as well as symbols. If a symbol or a formula would be | |
293 | % followed by a comma if it were replaced by a word or phrase, then it | |
294 | % should be followed by a comma; however strange the formula then looks. | |
295 | % | |
296 | % I still think that punctuation is essential for formulas in the main body | |
297 | % of the text. If the formula is $t^2 + 1$, say, then it should have its | |
298 | % terminating comma. But I have come to the conclusion that eliminating | |
299 | % visual junk from the printed page is more important than punctuatory | |
300 | % pedantry, so that when the same formula is \emph{displayed}, for example | |
301 | % \[ t^2 + 1 \] | |
302 | % then it looks silly if the comma is included, like this, | |
303 | % \[ t^2 + 1 \mpunct{,} \] | |
304 | % and everything is much cleaner and less ambiguous without punctuation. | |
305 | % | |
306 | % Purists will hate this, though many of them would not have noticed had I | |
307 | % not pointed it out here. Until recently, I would have agreed. But I | |
308 | % think it is time we accepted that the act of displaying a formula equips | |
309 | % it with \emph{implicit} (invisible) punctuation. This is the 21st | |
310 | % century, and typography has moved on. | |
311 | % \end{quote}% | |
312 | % | |
313 | % \DescribeMacro\mpunct | |
314 | % I tended to agree with Prof.\ Stewart, even before I read his preface; but | |
315 | % now I'm not so sure, and it's clear that we're in the minority. Therefore, | |
316 | % the command |\mpunct| sets its argument as text, a little distance from | |
317 | % the preceding mathematics. | |
318 | % | |
86f6a31e | 319 | % \implementation |
320 | % | |
321 | % \section{Implementation} | |
322 | % | |
323 | % This isn't really complicated (honest) although it is a lot hairier than I | |
324 | % think it ought to be. | |
325 | % | |
326 | % \begin{macrocode} | |
327 | %<*package> | |
4a655c6f | 328 | \RequirePackage{amssymb} |
329 | \RequirePackage{mdwkey} | |
86f6a31e | 330 | % \end{macrocode} |
331 | % | |
332 | % \subsection{Square roots} | |
333 | % | |
334 | % \subsubsection{Where is the square root sign?} | |
335 | % | |
336 | % \LaTeX\ hides the square root sign away somewhere without telling anyone | |
337 | % where it is. I extract it forcibly by peeking inside the |\sqrtsign| macro | |
338 | % and scrutinising the contents. Here we go: prepare for yukkiness. | |
339 | % | |
340 | % \begin{macrocode} | |
341 | \newcount\sq@sqrt \begingroup \catcode`\|0 \catcode`\\12 | |
342 | |def|sq@readrad#1"#2\#3|relax{|global|sq@sqrt"#2|relax} | |
343 | |expandafter|sq@readrad|meaning|sqrtsign|relax |endgroup | |
344 | \def\sq@delim{\delimiter\sq@sqrt\relax} | |
345 | % \end{macrocode} | |
346 | % | |
347 | % \subsubsection{Drawing fake square root signs} | |
348 | % | |
349 | % \TeX\ absolutely insists on drawing square root signs with a vinculum over | |
350 | % the top. In order to get the same effect, we have to attempt to emulate | |
351 | % \TeX's behaviour. | |
352 | % | |
353 | % \begin{macro}{\sqrtdel} | |
354 | % | |
355 | % This does the main job of typesetting a vinculum-free radical.\footnote{^^A | |
356 | % Note for chemists: this is nothing to do with short-lived things which | |
357 | % don't have their normal numbers of electrons. And it won't reduce the | |
358 | % appearance of wrinkles either.} | |
359 | % It's more or less a duplicate of what \TeX\ does internally, so it might be | |
360 | % a good plan to have a copy of Appendix~G open while you examine this. | |
361 | % | |
362 | % We start off by using |\mathpalette| to help decide how big things should | |
363 | % be. | |
364 | % | |
365 | % \begin{macrocode} | |
366 | \def\sqrtdel{\mathpalette\sqrtdel@i} | |
367 | % \end{macrocode} | |
368 | % | |
369 | % Read the contents of the radical into a box, so we can measure it. | |
370 | % | |
371 | % \begin{macrocode} | |
372 | \def\sqrtdel@i#1#2{% | |
373 | \setbox\z@\hbox{$\m@th#1#2$}% %%% Bzzzt -- uncramps the mathstyle | |
374 | % \end{macrocode} | |
375 | % | |
376 | % Now try and sort out the values needed in this calculation. We'll assume | |
377 | % that $\xi_8$ is 0.6\,pt, the way it usually is. Next try to work out the | |
378 | % value of $\varphi$. | |
379 | % | |
380 | % \begin{macrocode} | |
381 | \ifx#1\displaystyle% | |
382 | \@tempdima1ex% | |
383 | \else% | |
384 | \@tempdima.6\p@% | |
385 | \fi% | |
386 | % \end{macrocode} | |
387 | % | |
388 | % That was easy. Now for $\psi$. | |
389 | % | |
390 | % \begin{macrocode} | |
391 | \@tempdimb.6\p@% | |
392 | \advance\@tempdimb.25\@tempdima% | |
393 | % \end{macrocode} | |
394 | % | |
395 | % Build the `delimiter' in a box of height $h(x)+d(x)+\psi+\xi_8$, as | |
396 | % requested. Box~2 will do well for this purpose. | |
397 | % | |
398 | % \begin{macrocode} | |
399 | \dimen@.6\p@% | |
400 | \advance\dimen@\@tempdimb% | |
401 | \advance\dimen@\ht\z@% | |
402 | \advance\dimen@\dp\z@% | |
403 | \setbox\tw@\hbox{% | |
404 | $\left\sq@delim\vcenter to\dimen@{}\right.\n@space$% | |
405 | }% | |
406 | % \end{macrocode} | |
407 | % | |
408 | % Now we need to do some more calculating (don't you hate it?). As far as | |
409 | % Appendix~G is concerned, $\theta=h(y)=0$, because we want no rule over the | |
e8e9e5d8 | 410 | % top. |
86f6a31e | 411 | % |
412 | % \begin{macrocode} | |
413 | \@tempdima\ht\tw@% | |
414 | \advance\@tempdima\dp\tw@% | |
415 | \advance\@tempdima-\ht\z@% | |
416 | \advance\@tempdima-\dp\z@% | |
417 | \ifdim\@tempdima>\@tempdimb% | |
418 | \advance\@tempdima\@tempdimb% | |
419 | \@tempdimb.5\@tempdima% | |
420 | \fi% | |
421 | % \end{macrocode} | |
422 | % | |
423 | % Work out how high to raise the radical symbol. Remember that Appendix~G | |
424 | % thinks that the box has a very small height, although this is untrue here. | |
425 | % | |
426 | % \begin{macrocode} | |
427 | \@tempdima\ht\z@% | |
428 | \advance\@tempdima\@tempdimb% | |
429 | \advance\@tempdima-\ht\tw@% | |
430 | % \end{macrocode} | |
431 | % | |
432 | % Build the output (finally). The brace group is there to turn the output | |
433 | % into a mathord, one of the few times that this is actually desirable. | |
434 | % | |
435 | % \begin{macrocode} | |
436 | {\raise\@tempdima\box\tw@\vbox{\kern\@tempdimb\box\z@}}% | |
437 | } | |
438 | % \end{macrocode} | |
439 | % | |
440 | % \end{macro} | |
441 | % | |
442 | % \subsubsection{The new square root command} | |
443 | % | |
444 | % This is where we reimplement all the square root stuff. Most of this stuff | |
445 | % comes from the \PlainTeX\ macros, although some is influenced by \AmSTeX\ | |
446 | % and \LaTeXe, and some is original. I've tried to make the spacing vaguely | |
447 | % automatic, so although it's not configurable like \AmSTeX's version, the | |
448 | % output should look nice more of the time. Maybe. | |
449 | % | |
450 | % \begin{macro}{\sqrt} | |
451 | % | |
452 | % \LaTeX\ says this must be robust, so we make it robust. The first thing to | |
453 | % do is to see if there's a star and pass the appropriate squareroot-drawing | |
454 | % command on to the rest of the code. | |
455 | % | |
456 | % \begin{macrocode} | |
457 | \DeclareRobustCommand\sqrt{\@ifstar{\sqrt@i\sqrtdel}{\sqrt@i\sqrtsign}} | |
458 | % \end{macrocode} | |
459 | % | |
460 | % Now we can sort out an optional argument to be displayed on the root. | |
461 | % | |
462 | % \begin{macrocode} | |
463 | \def\sqrt@i#1{\@ifnextchar[{\sqrt@ii{#1}}{\sqrt@iv{#1}}} | |
464 | % \end{macrocode} | |
465 | % | |
466 | % Stages~2 and~3 below are essentially equivalents of \PlainTeX's | |
467 | % |\root|\dots|\of| and |\r@@t|. Here we also find the first wrinkle: the | |
468 | % |\rootbox| used to store the number is spaced out on the left if necessary. | |
469 | % There's a backspace after the end so that the root can slip underneath, and | |
470 | % everything works out nicely. Unfortunately size is fixed here, although | |
471 | % doesn't actually seem to matter. | |
472 | % | |
473 | % \begin{macrocode} | |
474 | \def\sqrt@ii#1[#2]{% | |
475 | \setbox\rootbox\hbox{$\m@th\scriptscriptstyle{#2}$}% | |
476 | \ifdim\wd\rootbox<6\p@% | |
477 | \setbox\rootbox\hb@xt@6\p@{\hfil\unhbox\rootbox}% | |
478 | \fi% | |
479 | \mathpalette{\sqrt@iii{#1}}% | |
480 | } | |
481 | % \end{macrocode} | |
482 | % | |
483 | % Now we can actually build everything. Note that the root is raised by its | |
484 | % depth -- this prevents a common problem with letters with descenders. | |
485 | % | |
486 | % \begin{macrocode} | |
487 | \def\sqrt@iii#1#2#3{% | |
488 | \setbox\z@\hbox{$\m@th#2#1{#3}$}% | |
489 | \dimen@\ht\z@% | |
490 | \advance\dimen@-\dp\z@% | |
491 | \dimen@.6\dimen@% | |
492 | \advance\dimen@\dp\rootbox% | |
493 | \mkern-3mu% | |
494 | \raise\dimen@\copy\rootbox% | |
495 | \mkern-10mu% | |
496 | \box\z@% | |
497 | } | |
498 | % \end{macrocode} | |
499 | % | |
500 | % Finally handle a non-numbered root. We read the rooted text in as an | |
501 | % argument, to stop problems when people omit the braces. (\AmSTeX\ does | |
502 | % this too.) | |
503 | % | |
504 | % \begin{macrocode} | |
505 | \def\sqrt@iv#1#2{#1{#2}} | |
506 | % \end{macrocode} | |
507 | % | |
508 | % \end{macro} | |
509 | % | |
510 | % \begin{macro}{\root} | |
511 | % | |
512 | % We also re-implement \PlainTeX's |\root| command, just in case someone uses | |
513 | % it, and supply a star-variant. This is all very trivial. | |
514 | % | |
515 | % \begin{macrocode} | |
516 | \def\root{\@ifstar{\root@i\sqrtdel}{\root@i\sqrtsign}} | |
517 | \def\root@i#1#2\of{\sqrt@ii{#1}[#2]} | |
518 | % \end{macrocode} | |
519 | % | |
520 | % \end{macro} | |
521 | % | |
522 | % \subsection{Modular programming} | |
523 | % | |
524 | % \begin{macro}{\pmod} | |
525 | % | |
526 | % Do some hacking if not |\ifouter|. | |
527 | % | |
528 | % \begin{macrocode} | |
529 | \def\pmod#1{% | |
530 | \ifinner\;\else\allowbreak\mkern18mu\fi% | |
531 | ({\operator@font mod}\,\,#1)% | |
532 | } | |
533 | % \end{macrocode} | |
534 | % | |
535 | % \end{macro} | |
536 | % | |
537 | % \subsection{Some magic new maths characters} | |
538 | % | |
539 | % \begin{macro}{\bitor} | |
540 | % \begin{macro}{\bitand} | |
541 | % \begin{macro}{\dblor} | |
542 | % \begin{macro}{\dbland} | |
543 | % \begin{macro}{\xor} | |
544 | % \begin{macro}{\lor} | |
545 | % \begin{macro}{\ror} | |
546 | % \begin{macro}{\lsl} | |
547 | % \begin{macro}{\lsr} | |
548 | % | |
549 | % The new boolean operators. | |
550 | % | |
551 | % \begin{macrocode} | |
552 | \DeclareMathSymbol{&}{\mathbin}{operators}{`\&} | |
553 | \DeclareMathSymbol{\bitand}{\mathbin}{operators}{`\&} | |
554 | \def\bitor{\mathbin\mid} | |
555 | \def\dblor{\mathbin{\mid\mid}} | |
556 | \def\dbland{\mathbin{\mathrel\bitand\mathrel\bitand}} | |
557 | \let\xor\oplus | |
558 | \def\lsl{\mathbin{<\!\!<}} | |
559 | \def\lsr{\mathbin{>\!\!>}} | |
560 | \def\rol{\mathbin{<\!\!<\!\!<}} | |
561 | \def\ror{\mathbin{>\!\!>\!\!>}} | |
562 | \AtBeginDocument{\ifx\lll\@@undefined\else | |
563 | \def\lsl{\mathbin{\ll}} | |
564 | \def\lsr{\mathbin{\gg}} | |
565 | \def\rol{\mathbin{\lll}} | |
566 | \def\ror{\mathbin{\ggg}} | |
567 | \fi} | |
568 | % \end{macrocode} | |
569 | % | |
570 | % \end{macro} | |
571 | % \end{macro} | |
572 | % \end{macro} | |
573 | % \end{macro} | |
574 | % \end{macro} | |
575 | % \end{macro} | |
576 | % \end{macro} | |
577 | % \end{macro} | |
578 | % \end{macro} | |
579 | % | |
580 | % \begin{macro}{\cat} | |
581 | % \begin{macro}{\compose} | |
582 | % \begin{macro}{\implies} | |
583 | % \begin{macro}{\vect} | |
584 | % \begin{macro}{\d} | |
585 | % \begin{macro}{\jacobi} | |
586 | % | |
587 | % A mixed bag of stuff. | |
588 | % | |
589 | % \begin{macrocode} | |
590 | \def\cat{\mathbin{\|}} | |
591 | \let\compose\circ | |
592 | \def\implies{\Rightarrow} | |
593 | \def\vect#1{\mathord{\mathbf{#1}}} | |
4a655c6f | 594 | \def\d{% |
595 | \ifmmode\mathord{\operator@font d}% | |
596 | \else\expandafter\a\expandafter d\fi% | |
597 | } | |
86f6a31e | 598 | \def\jacobi#1#2{{{#1}\overwithdelims()#2}} |
599 | % \end{macrocode} | |
600 | % | |
601 | % \end{macro} | |
602 | % \end{macro} | |
603 | % \end{macro} | |
604 | % \end{macro} | |
605 | % \end{macro} | |
606 | % \end{macro} | |
607 | % | |
608 | % \begin{macro}{\statclose} | |
609 | % \begin{macro}{\compind} | |
610 | % | |
611 | % Fancy new relations for probability distributions. | |
612 | % | |
613 | % \begin{macrocode} | |
614 | \def\statclose{\mathrel{\mathop{=}\limits^{\scriptscriptstyle s}}} | |
615 | \def\compind{\mathrel{\mathop{\approx}\limits^{\scriptscriptstyle c}}} | |
616 | % \end{macrocode} | |
617 | % | |
618 | % \end{macro} | |
619 | % \end{macro} | |
620 | % | |
4a576d39 MW |
621 | % \begin{macro}{\defop} |
622 | % Defining new operator names. | |
623 | % \begin{macrocode} | |
624 | \def\defop{\@ifstar{\defop@\nolimits}{\defop@\limits}} | |
625 | \def\defop@#1#2#3{\def#2{\mathop{\operator@font #3}#1}} | |
626 | % \end{macrocode} | |
627 | % \end{macro} | |
628 | % | |
86f6a31e | 629 | % \begin{macro}{\keys} |
630 | % \begin{macro}{\dom} | |
631 | % \begin{macro}{\ran} | |
632 | % \begin{macro}{\supp} | |
633 | % \begin{macro}{\lcm} | |
4a655c6f | 634 | % \begin{macro}{\poly} |
635 | % \begin{macro}{\negl} | |
636 | % \begin{macro}{\ord} | |
86f6a31e | 637 | % |
638 | % And the new operator names. | |
639 | % | |
640 | % \begin{macrocode} | |
4a576d39 MW |
641 | \defop*\keys{keys} |
642 | \defop*\dom{dom} | |
643 | \defop*\ran{ran} | |
644 | \defop*\supp{supp} | |
645 | \defop*\lcm{lcm} | |
646 | \defop*\poly{poly} | |
647 | \defop*\negl{negl} | |
648 | \defop*\ord{ord} | |
86f6a31e | 649 | % \end{macrocode} |
650 | % | |
651 | % \end{macro} | |
652 | % \end{macro} | |
653 | % \end{macro} | |
654 | % \end{macro} | |
655 | % \end{macro} | |
4a655c6f | 656 | % \end{macro} |
657 | % \end{macro} | |
658 | % \end{macro} | |
659 | % | |
660 | % \subsection{Fractions} | |
661 | % | |
662 | % \begin{macro}{\@frac@parse} | |
663 | % | |
664 | % \syntax{"\\@frac@parse{"<stuff>"}{"<frac-params>"}"} -- run \<stuff> | |
665 | % passing it three arguments: an infix fraction-making command, the `outer' | |
666 | % style, and the `inner' style. | |
667 | % | |
668 | % This is rather tricky. We clear a load of parameters, parse the parameter | |
669 | % list, and then build a token list containing the right stuff. Without the | |
670 | % token list fiddling, we end up expanding things at the wrong times -- for | |
671 | % example, |\{| expands to something terribly unpleasant in a document | |
672 | % preamble. | |
673 | % | |
674 | % All of the nastiness is contained in a group. | |
675 | % | |
676 | % \begin{macrocode} | |
677 | \def\@frac@parse#1#2{% | |
678 | \begingroup% | |
679 | \let\@wd\@empty\def\@ldel{.}\def\@rdel{.}% | |
680 | \def\@op{over}\let\@dim\@empty\@tempswafalse% | |
681 | \let\@is\@empty\let\@os\@empty% | |
682 | \mkparse{mdwmath:frac}{#2}% | |
683 | \toks\tw@{\endgroup#1}% | |
684 | \toks@\expandafter{\csname @@\@op\@wd\endcsname}% | |
685 | \if@tempswa% | |
686 | \toks@\expandafter{\the\expandafter\toks@\@ldel}% | |
687 | \toks@\expandafter{\the\expandafter\toks@\@rdel}% | |
688 | \fi% | |
689 | \expandafter\toks@\expandafter{\the\expandafter\toks@\@dim}% | |
690 | \toks@\expandafter{\the\toks\expandafter\tw@\expandafter{\the\toks@}} | |
691 | \toks@\expandafter{\the\expandafter\toks@\expandafter{\@os}} | |
692 | \toks@\expandafter{\the\expandafter\toks@\expandafter{\@is}} | |
693 | \the\toks@% | |
694 | } | |
695 | % \end{macrocode} | |
696 | % | |
697 | % The keyword definitions are relatively straightforward now. The error | |
698 | % handling for \textsf{style} and \textsf{innerstyle} could do with | |
699 | % improvement. | |
700 | % | |
701 | % \begin{macrocode} | |
702 | \def\@frac@del#1#2{\def\@wd{withdelims}\@tempswatrue\def#1{#2}} | |
703 | \mkdef{mdwmath:frac}{leftdelim}{\@frac@del\@ldel{#1}} | |
704 | \mkdef{mdwmath:frac}{rightdelim}{\@frac@del\@rdel{#1}} | |
705 | \mkdef{mdwmath:frac}{nodelims}*{\let\@wd\@empty\@tempswafalse} | |
706 | \mkdef{mdwmath:frac}{line}{% | |
707 | \def\@op{above}\setlength\dimen@{#1}\edef\@dim{\the\dimen@\space}% | |
708 | } | |
709 | \mkdef{mdwmath:frac}{line}*{\def\@op{over}\let\@dim\@empty} | |
710 | \mkdef{mdwmath:frac}{noline}*{\def\@op{atop}\let\@dim\@empty} | |
711 | \def\@frac@style#1#2{% | |
712 | \ifx\q@delim#2\q@delim\let#1\@empty% | |
713 | \else% | |
714 | \expandafter\ifx\csname #2style\endcsname\relax% | |
715 | \PackageError{mdwmath}{Bad maths style `#2'}\@ehc% | |
716 | \else% | |
717 | \edef#1{\csname#2style\endcsname}% | |
718 | \fi% | |
719 | \fi% | |
720 | } | |
721 | \mkdef{mdwmath:frac}{style}[]{\@frac@style\@os{#1}} | |
722 | \mkdef{mdwmath:frac}{innerstyle}[]{\@frac@style\@is{#1}} | |
723 | % \end{macrocode} | |
724 | % | |
725 | % \end{macro} | |
726 | % | |
727 | % \begin{macro}{\fracdef} | |
728 | % | |
729 | % Here's where the rest of the pain is. We do a preliminary parse of the | |
730 | % parameters and `compile' the result into the output macro. If there's no | |
731 | % optional argument, then we don't need to do any really tedious formatting | |
732 | % at the point of use. | |
733 | % | |
734 | % \begin{macrocode} | |
735 | \def\fracdef#1#2{\@frac@parse{\fracdef@i{#1}{#2}}{#2}} | |
736 | \def\fracdef@i#1#2#3#4#5{\def#1{\@frac@do{#2}{#3}{#4}{#5}}} | |
737 | \def\@frac@do#1#2#3#4{% | |
738 | \@ifnextchar[{\@frac@complex{#1}}{\@frac@simple{#2}{#3}{#4}}% | |
739 | } | |
740 | \def\@frac@complex#1[#2]{\@frac@parse\@frac@simple{#1,#2}} | |
741 | \def\@frac@simple#1#2#3#4#5{{#2{{#3#4}#1{#3#5}}}} | |
742 | % \end{macrocode} | |
743 | % | |
744 | % \end{macro} | |
745 | % | |
746 | % \begin{macro}{\frac@fix} | |
747 | % \begin{macro}{\@@over} | |
748 | % \begin{macro}{\@@atop} | |
749 | % \begin{macro}{\@@above} | |
750 | % \begin{macro}{\@@overwithdelims} | |
751 | % \begin{macro}{\@@atopwithdelims} | |
752 | % \begin{macro}{\@@abovewithdelims} | |
753 | % | |
754 | % Finally, we need to fix up |\@@over| and friends. Maybe \package{amsmath} | |
755 | % has hidden the commands away somewhere unhelpful. If not, we make the | |
756 | % requisite copies. | |
757 | % | |
758 | % \begin{macrocode} | |
759 | \def\q@delim{\q@delim} | |
760 | \def\frac@fix#1{\expandafter\frac@fix@i\string#1\q@delim} | |
761 | \def\frac@fix@i#1#2\q@delim{\frac@fix@ii{#2}\frac@fix@ii{#2withdelims}} | |
762 | \def\frac@fix@ii#1{% | |
763 | \expandafter\ifx\csname @@#1\endcsname\relax% | |
764 | \expandafter\let\csname @@#1\expandafter\endcsname\csname#1\endcsname% | |
765 | \fi% | |
766 | } | |
767 | \frac@fix\over \frac@fix\atop \frac@fix\above | |
768 | % \end{macrocode} | |
769 | % | |
770 | % \end{macro} | |
771 | % \end{macro} | |
772 | % \end{macro} | |
773 | % \end{macro} | |
774 | % \end{macro} | |
775 | % \end{macro} | |
776 | % \end{macro} | |
777 | % | |
778 | % \begin{macro}{\frac} | |
779 | % \begin{macro}{\binom} | |
780 | % \begin{macro}{\jacobi} | |
781 | % | |
782 | % And finally, we define the fraction-making commands. | |
783 | % | |
784 | % \begin{macrocode} | |
785 | \fracdef\frac{nodelims, line} | |
786 | \fracdef\binom{leftdelim = (, rightdelim = ), noline} | |
787 | \fracdef\jacobi{leftdelim = (, rightdelim = ), line} | |
788 | % \end{macrocode} | |
789 | % | |
790 | % \end{macro} | |
791 | % \end{macro} | |
792 | % \end{macro} | |
86f6a31e | 793 | % |
794 | % \subsection{Blackboard bold stuff} | |
795 | % | |
796 | % \begin{macro}{\Z} | |
797 | % \begin{macro}{\Q} | |
798 | % \begin{macro}{\R} | |
799 | % \begin{macro}{\C} | |
800 | % \begin{macro}{\N} | |
801 | % \begin{macro}{\F} | |
802 | % \begin{macro}{\powerset} | |
4a655c6f | 803 | % \begin{macro}{\gf} |
86f6a31e | 804 | % |
805 | % First of all, the signs. | |
806 | % | |
807 | % \begin{macrocode} | |
808 | \def\Z{\mathbb{Z}} | |
809 | \def\Q{\mathbb{Q}} | |
810 | \def\R{\mathbb{R}} | |
811 | \def\C{\mathbb{C}} | |
812 | \def\N{\mathbb{N}} | |
813 | \def\F{\mathbb{F}} | |
814 | \def\powerset{\mathbb{P}} | |
4a655c6f | 815 | \def\gf#1{\F_{#1}} |
816 | %\def\gf#1{\mathrm{GF}({#1})} | |
86f6a31e | 817 | % \end{macrocode} |
818 | % | |
819 | % \end{macro} | |
820 | % \end{macro} | |
821 | % \end{macro} | |
822 | % \end{macro} | |
823 | % \end{macro} | |
824 | % \end{macro} | |
825 | % \end{macro} | |
4a655c6f | 826 | % \end{macro} |
86f6a31e | 827 | % |
828 | % And now, define |\mathbb| if it's not there already. | |
829 | % | |
830 | % \begin{macrocode} | |
831 | \AtBeginDocument{\ifx\mathbb\@@undefined\let\mathbb\mathbf\fi} | |
832 | % \end{macrocode} | |
833 | % | |
834 | % \subsection{Biggles} | |
835 | % | |
836 | % Now for some user-controlled delimiter sizing. The standard bigness of | |
837 | % plain \TeX's delimiters are all right, but it's a little limiting. | |
838 | % | |
839 | % The biggness of delimiters is based on the size of the current |\strut|, | |
840 | % which \LaTeX\ keeps up to date all the time. This will make the various | |
841 | % delimiters grow in proportion when the text gets bigger. Actually, I'm | |
842 | % not sure that this is exactly right -- maybe it should be nonlinear, | |
843 | % | |
844 | % \begin{macro}{\bbigg} | |
845 | % \begin{macro}{\bbiggl} | |
846 | % \begin{macro}{\bbiggr} | |
847 | % \begin{macro}{\bbiggm} | |
848 | % | |
849 | % This is where the bigness is done. This is more similar to the plain \TeX\ | |
850 | % big delimiter stuff than to the \package{amsmath} stuff, although there's | |
851 | % not really a lot of difference. | |
852 | % | |
853 | % The two arguments are a multiplier for the delimiter size, and a small | |
854 | % increment applied \emph{before} the multiplication (which is optional). | |
855 | % | |
856 | % This is actually a front for a low-level interface which can be called | |
857 | % directly for efficiency. | |
858 | % | |
859 | % \begin{macrocode} | |
860 | \def\bbigg{\@bbigg\mathord} \def\bbiggl{\@bbigg\mathopen} | |
861 | \def\bbiggr{\@bbigg\mathclose} \def\bbiggm{\@bbigg\mathrel} | |
862 | % \end{macrocode} | |
863 | % | |
864 | % \end{macro} | |
865 | % \end{macro} | |
866 | % \end{macro} | |
867 | % \end{macro} | |
868 | % | |
869 | % \begin{macro}{\@bbigg} | |
870 | % | |
871 | % This is an optional argument parser providing a front end for the main | |
872 | % macro |\bbigg@|. | |
873 | % | |
874 | % \begin{macrocode} | |
a1af3c0e MW |
875 | \def\@bbigg#1{\@testopt{\@bbigg@i{#1}}\z@} |
876 | \def\@bbigg@i#1[#2]{#1{\bbigg@{#2}}} | |
86f6a31e | 877 | % \end{macrocode} |
878 | % | |
879 | % \end{macro} | |
880 | % | |
881 | % \begin{macro}{\bbigg@} | |
882 | % | |
883 | % This is it, at last. The arguments are as described above: an addition | |
884 | % to be made to the strut height, and a multiplier. Oh, and the delimiter, | |
885 | % of course. | |
886 | % | |
887 | % This is a bit messy. The smallest `big' delimiter, |\big|, is the same | |
888 | % height as the current strut box. Other delimiters are~$1\frac12$, $2$ | |
889 | % and~$2\frac12$ times this height. I'll set the height of the delimiter by | |
890 | % putting in a |\vcenter| of the appropriate size. | |
891 | % | |
892 | % Given an extra height~$x$, a multiplication factor~$f$ and a strut | |
893 | % height~$h$ and depth~$d$, I'll create a vcenter with total height | |
894 | % $f(h+d+x)$. Easy, isn't it? | |
895 | % | |
896 | % \begin{macrocode} | |
897 | \def\bbigg@#1#2#3{% | |
898 | {\hbox{$% | |
899 | \dimen@\ht\strutbox\advance\dimen@\dp\strutbox% | |
900 | \advance\dimen@#1% | |
901 | \dimen@#2\dimen@% | |
902 | \left#3\vcenter to\dimen@{}\right.\n@space% | |
903 | $}}% | |
904 | } | |
905 | % \end{macrocode} | |
906 | % | |
907 | % \end{macro} | |
908 | % | |
909 | % \begin{macro}{\big} | |
910 | % \begin{macro}{\Big} | |
911 | % \begin{macro}{\bigg} | |
912 | % \begin{macro}{\Bigg} | |
913 | % | |
914 | % Now for the easy macros. | |
915 | % | |
916 | % \begin{macrocode} | |
917 | \def\big{\bbigg@\z@\@ne} | |
918 | \def\Big{\bbigg@\z@{1.5}} | |
919 | \def\bigg{\bbigg@\z@\tw@} | |
920 | \def\Bigg{\bbigg@\z@{2.5}} | |
921 | % \end{macrocode} | |
922 | % | |
923 | % \end{macro} | |
924 | % \end{macro} | |
925 | % \end{macro} | |
926 | % \end{macro} | |
927 | % | |
928 | % \subsection{The `QED' symbol} | |
929 | % | |
930 | % \begin{macro}{\qed} | |
931 | % \begin{macro}{\qedrule} | |
932 | % \begin{macro}{\qedsymbol} | |
933 | % | |
934 | % This is fairly simple. Just be careful will the glue and penalties. The | |
935 | % size of the little box is based on the current font size. | |
936 | % | |
937 | % The horizontal list constructed by the macro is like this: | |
938 | % | |
939 | % \begin{itemize} | |
940 | % \item A |\quad| of space. This might get eaten if there's a break here or | |
941 | % before. That's OK, though. | |
942 | % \item An empty box, to break a run of discardable items. | |
943 | % \item A |\penalty 10000| to ensure that the spacing glue isn't discarded. | |
944 | % \item |\hfill| glue to push the little rule to the end of the line. | |
945 | % \item A little square rule `\qedrule', with some small kerns around it. | |
946 | % \item A glue item to counter the effect of glue added at the paragraph | |
e8e9e5d8 | 947 | % boundary. |
86f6a31e | 948 | % \end{itemize} |
949 | % | |
4a655c6f | 950 | % The vertical mode case is simpler, but less universal. It copes with |
951 | % relatively simple cases only. | |
952 | % | |
86f6a31e | 953 | % A |\qed| commend ends the paragraph. |
954 | % | |
955 | % \begin{macrocode} | |
4a655c6f | 956 | \def\qed{% |
957 | \ifvmode% | |
958 | \unskip% | |
959 | \setbox\z@\hb@xt@\linewidth{\hfil\strut\qedsymbol}% | |
960 | \prevdepth-\@m\p@% | |
961 | \ifdim\prevdepth>\dp\strutbox% | |
962 | \dimen@\prevdepth\advance\dimen@-\dp\strutbox% | |
963 | \kern-\dimen@% | |
964 | \fi% | |
965 | \penalty\@M\vskip-\baselineskip\box\z@% | |
966 | \else% | |
967 | \unskip% | |
968 | \penalty\@M\hfill% | |
969 | \hbox{}\penalty200\quad% | |
970 | \hbox{}\penalty\@M\hfill\qedsymbol\hskip-\parfillskip\par% | |
971 | \fi% | |
86f6a31e | 972 | } |
973 | \def\qedrule{{% | |
974 | \dimen@\ht\strutbox% | |
4a655c6f | 975 | \advance\dimen@\dp\strutbox% |
86f6a31e | 976 | \dimen@ii1ex% |
977 | \advance\dimen@-\dimen@ii% | |
978 | \divide\dimen@\tw@% | |
979 | \advance\dimen@-\dp\strutbox% | |
980 | \advance\dimen@\dimen@ii% | |
981 | \advance\dimen@ii-\dimen@% | |
982 | \kern\p@% | |
983 | \vrule\@width1ex\@height\dimen@\@depth\dimen@ii% | |
984 | \kern\p@% | |
985 | }} | |
986 | \providecommand\qedsymbol{\qedrule} | |
987 | % \end{macrocode} | |
988 | % | |
989 | % \end{macro} | |
990 | % \end{macro} | |
991 | % \end{macro} | |
992 | % | |
3ba7380e MW |
993 | % \subsection{Punctuation in displays} |
994 | % | |
995 | % \begin{macro}{\mpunct} | |
996 | % | |
997 | % This is actually a little more subtle than you'd expect. If the | |
998 | % \package{amstext} package is loaded, or something else has defined the | |
999 | % |\text| command, then we should use that; otherwise, just drop a box in and | |
1000 | % hope for the best. | |
1001 | % | |
1002 | % \begin{macrocode} | |
1003 | \def\mpunct#1{% | |
1004 | \,% | |
1005 | \ifx\text\@@undefined\hbox% | |
1006 | \else\expandafter\text\fi% | |
1007 | {#1}% | |
1008 | } | |
1009 | % \end{macrocode} | |
1010 | % | |
1011 | %\end{macro} | |
1012 | % | |
86f6a31e | 1013 | % That's all there is. Byebye. |
1014 | % | |
1015 | % \begin{macrocode} | |
1016 | %</package> | |
1017 | % \end{macrocode} | |
1018 | % | |
1019 | % \hfill Mark Wooding, \today | |
1020 | % | |
1021 | % \Finale | |
1022 | \endinput |