doc-src/proof.sty
author huffman
Thu Apr 19 10:49:47 2012 +0200 (2012-04-19)
changeset 47579 28f6f4ad69bf
parent 3126 feb7a5d01c1e
permissions -rw-r--r--
tuned lemmas (v)image_id;
removed duplicate of vimage_id
     1 \ProvidesPackage{proof}[1995/05/22]
     2 %       proof.sty       (Proof Figure Macros)
     3 %
     4 %       version 2.0
     5 %       June 24, 1991
     6 %       Copyright (C) 1990,1991 Makoto Tatsuta (tatsuta@riec.tohoku.ac.jp)
     7 %
     8 %Modified for LaTeX-2e by L. C. Paulson
     9 % 
    10 % This program is free software; you can redistribute it or modify
    11 % it under the terms of the GNU General Public License as published by
    12 % the Free Software Foundation; either versions 1, or (at your option)
    13 % any later version.
    14 % 
    15 % This program is distributed in the hope that it will be useful
    16 % but WITHOUT ANY WARRANTY; without even the implied warranty of
    17 % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    18 % GNU General Public License for more details.
    19 %
    20 %       Usage:
    21 %               In \documentstyle, specify an optional style `proof', say,
    22 %                       \documentstyle[proof]{article}.
    23 %
    24 %       The following macros are available:
    25 %
    26 %       In all the following macros, all the arguments such as
    27 %       <Lowers> and <Uppers> are processed in math mode.
    28 %
    29 %       \infer<Lower><Uppers>
    30 %               draws an inference.
    31 %
    32 %               Use & in <Uppers> to delimit upper formulae.
    33 %               <Uppers> consists more than 0 formulae.
    34 %
    35 %               \infer returns \hbox{ ... } or \vbox{ ... } and
    36 %               sets \@LeftOffset and \@RightOffset globally.
    37 %
    38 %       \infer[<Label>]<Lower><Uppers>
    39 %               draws an inference labeled with <Label>.
    40 %
    41 %       \infer*<Lower><Uppers>
    42 %               draws a many step deduction.
    43 %
    44 %       \infer*[<Label>]<Lower><Uppers>
    45 %               draws a many step deduction labeled with <Label>.
    46 %
    47 %       \infer=<Lower><Uppers>
    48 %               draws a double-ruled deduction.
    49 %
    50 %       \infer=[<Label>]<Lower><Uppers>
    51 %               draws a double-ruled deduction labeled with <Label>.
    52 %
    53 %       \deduce<Lower><Uppers>
    54 %               draws an inference without a rule.
    55 %
    56 %       \deduce[<Proof>]<Lower><Uppers>
    57 %               draws a many step deduction with a proof name.
    58 %
    59 %       Example:
    60 %               If you want to write
    61 %                           B C
    62 %                          -----
    63 %                      A     D
    64 %                     ----------
    65 %                         E
    66 %       use
    67 %               \infer{E}{
    68 %                       A
    69 %                       &
    70 %                       \infer{D}{B & C}
    71 %               }
    72 %
    73 
    74 %       Style Parameters
    75 
    76 \newdimen\inferLineSkip         \inferLineSkip=2pt
    77 \newdimen\inferLabelSkip        \inferLabelSkip=5pt
    78 \def\inferTabSkip{\quad}
    79 
    80 %       Variables
    81 
    82 \newdimen\@LeftOffset   % global
    83 \newdimen\@RightOffset  % global
    84 \newdimen\@SavedLeftOffset      % safe from users
    85 
    86 \newdimen\UpperWidth
    87 \newdimen\LowerWidth
    88 \newdimen\LowerHeight
    89 \newdimen\UpperLeftOffset
    90 \newdimen\UpperRightOffset
    91 \newdimen\UpperCenter
    92 \newdimen\LowerCenter
    93 \newdimen\UpperAdjust
    94 \newdimen\RuleAdjust
    95 \newdimen\LowerAdjust
    96 \newdimen\RuleWidth
    97 \newdimen\HLabelAdjust
    98 \newdimen\VLabelAdjust
    99 \newdimen\WidthAdjust
   100 
   101 \newbox\@UpperPart
   102 \newbox\@LowerPart
   103 \newbox\@LabelPart
   104 \newbox\ResultBox
   105 
   106 %       Flags
   107 
   108 \newif\if@inferRule     % whether \@infer draws a rule.
   109 \newif\if@DoubleRule    % whether \@infer draws doulbe rules.
   110 \newif\if@ReturnLeftOffset      % whether \@infer returns \@LeftOffset.
   111 \newif\if@MathSaved     % whether inner math mode where \infer or
   112                         % \deduce appears.
   113 
   114 %       Special Fonts
   115 
   116 \def\DeduceSym{\vtop{\baselineskip4\p@ \lineskiplimit\z@
   117     \vbox{\hbox{.}\hbox{.}\hbox{.}}\hbox{.}}}
   118 
   119 %       Math Save Macros
   120 %
   121 %       \@SaveMath is called in the very begining of toplevel macros
   122 %       which are \infer and \deduce.
   123 %       \@RestoreMath is called in the very last before toplevel macros end.
   124 %       Remark \infer and \deduce ends calling \@infer.
   125 %TEMPORARILY DELETED BY LCP DUE TO CONFLICT WITH CLASS "amsmath.sty"
   126 
   127 \def\@SaveMath{}
   128 
   129 \def\@RestoreMath{}
   130 
   131 %       Macros
   132 
   133 \def\@ifEmpty#1#2#3{\def\@tempa{\@empty}\def\@tempb{#1}\relax
   134         \ifx \@tempa \@tempb #2\else #3\fi }
   135 
   136 \def\infer{\@SaveMath \@ifnextchar *{\@inferSteps}{\relax
   137         \@ifnextchar ={\@inferDoubleRule}{\@inferOneStep}}}
   138 
   139 \def\@inferOneStep{\@inferRuletrue \@DoubleRulefalse
   140         \@ifnextchar [{\@infer}{\@infer[\@empty]}}
   141 
   142 \def\@inferDoubleRule={\@inferRuletrue \@DoubleRuletrue
   143         \@ifnextchar [{\@infer}{\@infer[\@empty]}}
   144 
   145 \def\@inferSteps*{\@ifnextchar [{\@@inferSteps}{\@@inferSteps[\@empty]}}
   146 
   147 \def\@@inferSteps[#1]{\@deduce{#1}[\DeduceSym]}
   148 
   149 \def\deduce{\@SaveMath \@ifnextchar [{\@deduce{\@empty}}
   150         {\@inferRulefalse \@infer[\@empty]}}
   151 
   152 %       \@deduce<Proof Label>[<Proof>]<Lower><Uppers>
   153 
   154 \def\@deduce#1[#2]#3#4{\@inferRulefalse
   155         \@infer[\@empty]{#3}{\@SaveMath \@infer[{#1}]{#2}{#4}}}
   156 
   157 %       \@infer[<Label>]<Lower><Uppers>
   158 %               If \@inferRuletrue, it draws a rule and <Label> is right to
   159 %               a rule. In this case, if \@DoubleRuletrue, it draws
   160 %               double rules.
   161 %
   162 %               Otherwise, draws no rule and <Label> is right to <Lower>.
   163 
   164 \def\@infer[#1]#2#3{\relax
   165 % Get parameters
   166         \if@ReturnLeftOffset \else \@SavedLeftOffset=\@LeftOffset \fi
   167         \setbox\@LabelPart=\hbox{$#1$}\relax
   168         \setbox\@LowerPart=\hbox{$#2$}\relax
   169 %
   170         \global\@LeftOffset=0pt
   171         \setbox\@UpperPart=\vbox{\tabskip=0pt \halign{\relax
   172                 \global\@RightOffset=0pt \@ReturnLeftOffsettrue $##$&&
   173                 \inferTabSkip
   174                 \global\@RightOffset=0pt \@ReturnLeftOffsetfalse $##$\cr
   175                 #3\cr}}\relax
   176 %                       Here is a little trick.
   177 %                       \@ReturnLeftOffsettrue(false) influences on \infer or
   178 %                       \deduce placed in ## locally
   179 %                       because of \@SaveMath and \@RestoreMath.
   180         \UpperLeftOffset=\@LeftOffset
   181         \UpperRightOffset=\@RightOffset
   182 % Calculate Adjustments
   183         \LowerWidth=\wd\@LowerPart
   184         \LowerHeight=\ht\@LowerPart
   185         \LowerCenter=0.5\LowerWidth
   186 %
   187         \UpperWidth=\wd\@UpperPart \advance\UpperWidth by -\UpperLeftOffset
   188         \advance\UpperWidth by -\UpperRightOffset
   189         \UpperCenter=\UpperLeftOffset
   190         \advance\UpperCenter by 0.5\UpperWidth
   191 %
   192         \ifdim \UpperWidth > \LowerWidth
   193                 % \UpperCenter > \LowerCenter
   194         \UpperAdjust=0pt
   195         \RuleAdjust=\UpperLeftOffset
   196         \LowerAdjust=\UpperCenter \advance\LowerAdjust by -\LowerCenter
   197         \RuleWidth=\UpperWidth
   198         \global\@LeftOffset=\LowerAdjust
   199 %
   200         \else   % \UpperWidth <= \LowerWidth
   201         \ifdim \UpperCenter > \LowerCenter
   202 %
   203         \UpperAdjust=0pt
   204         \RuleAdjust=\UpperCenter \advance\RuleAdjust by -\LowerCenter
   205         \LowerAdjust=\RuleAdjust
   206         \RuleWidth=\LowerWidth
   207         \global\@LeftOffset=\LowerAdjust
   208 %
   209         \else   % \UpperWidth <= \LowerWidth
   210                 % \UpperCenter <= \LowerCenter
   211 %
   212         \UpperAdjust=\LowerCenter \advance\UpperAdjust by -\UpperCenter
   213         \RuleAdjust=0pt
   214         \LowerAdjust=0pt
   215         \RuleWidth=\LowerWidth
   216         \global\@LeftOffset=0pt
   217 %
   218         \fi\fi
   219 % Make a box
   220         \if@inferRule
   221 %
   222         \setbox\ResultBox=\vbox{
   223                 \moveright \UpperAdjust \box\@UpperPart
   224                 \nointerlineskip \kern\inferLineSkip
   225                 \if@DoubleRule
   226                 \moveright \RuleAdjust \vbox{\hrule width\RuleWidth
   227                         \kern 1pt\hrule width\RuleWidth}\relax
   228                 \else
   229                 \moveright \RuleAdjust \vbox{\hrule width\RuleWidth}\relax
   230                 \fi
   231                 \nointerlineskip \kern\inferLineSkip
   232                 \moveright \LowerAdjust \box\@LowerPart }\relax
   233 %
   234         \@ifEmpty{#1}{}{\relax
   235 %
   236         \HLabelAdjust=\wd\ResultBox     \advance\HLabelAdjust by -\RuleAdjust
   237         \advance\HLabelAdjust by -\RuleWidth
   238         \WidthAdjust=\HLabelAdjust
   239         \advance\WidthAdjust by -\inferLabelSkip
   240         \advance\WidthAdjust by -\wd\@LabelPart
   241         \ifdim \WidthAdjust < 0pt \WidthAdjust=0pt \fi
   242 %
   243         \VLabelAdjust=\dp\@LabelPart
   244         \advance\VLabelAdjust by -\ht\@LabelPart
   245         \VLabelAdjust=0.5\VLabelAdjust  \advance\VLabelAdjust by \LowerHeight
   246         \advance\VLabelAdjust by \inferLineSkip
   247 %
   248         \setbox\ResultBox=\hbox{\box\ResultBox
   249                 \kern -\HLabelAdjust \kern\inferLabelSkip
   250                 \raise\VLabelAdjust \box\@LabelPart \kern\WidthAdjust}\relax
   251 %
   252         }\relax % end @ifEmpty
   253 %
   254         \else % \@inferRulefalse
   255 %
   256         \setbox\ResultBox=\vbox{
   257                 \moveright \UpperAdjust \box\@UpperPart
   258                 \nointerlineskip \kern\inferLineSkip
   259                 \moveright \LowerAdjust \hbox{\unhbox\@LowerPart
   260                         \@ifEmpty{#1}{}{\relax
   261                         \kern\inferLabelSkip \unhbox\@LabelPart}}}\relax
   262         \fi
   263 %
   264         \global\@RightOffset=\wd\ResultBox
   265         \global\advance\@RightOffset by -\@LeftOffset
   266         \global\advance\@RightOffset by -\LowerWidth
   267         \if@ReturnLeftOffset \else \global\@LeftOffset=\@SavedLeftOffset \fi
   268 %
   269         \box\ResultBox
   270         \@RestoreMath
   271 }
   272 \endinput