--- /dev/null
+/*
+ * extensions/AMSmath.js
+ *
+ * Part of the jsMath package for mathematics on the web.
+ *
+ * This file defines most of the macros and environments from
+ * the amsmath LaTeX package. You can activate it by calling
+ *
+ * jsMath.Extension.Require('AMSmath');
+ *
+ * once jsMath.js has been loaded, or by adding "extensions/AMSmath.js"
+ * to the loadFiles array in jsMath/easy/load.js.
+ *
+ * You may wish to load AMSsymbols.js as well, but note that it
+ * requires the extra msam10 and msb10 fonts that you will have
+ * to install on your server first.
+ *
+ * ---------------------------------------------------------------------
+ *
+ * Copyright 2007 by Davide P. Cervone
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+/********************************************************************/
+
+jsMath.Extension.Require("moreArrows");
+
+jsMath.Package(jsMath.Parser,{
+ macros: {
+ intI: ['Macro','\\mathchoice{\\!}{}{}{}\\!\\!\\int'],
+ iint: ['Macro','\\!\\!\\!\\mathop{\\,\\,\\,\\int\\intI}'],
+ iiint: ['Macro','\\!\\!\\!\\mathop{\\,\\,\\,\\int\\intI\\intI}'],
+ iiiint: ['Macro','\\!\\!\\!\\mathop{\\,\\,\\,\\int\\intI\\intI\\intI}'],
+ idotsint: ['Macro','\\!\\!\\mathop{\\,\\,\\int\\cdots\\int}'],
+
+ dddot: ['Macro','\\mathop{#1}\\limits^{\\textstyle ...}',1],
+ ddddot: ['Macro','\\mathop{#1}\\limits^{\\textstyle ....}',1],
+
+ sideset: ['Macro','\\mathop{\\rlap{\\phantom{#3}}}#1\\!{#3}#2',3],
+ stackrel: ['Macro','\\mathrel{\\mathop{#2}\\limits^{#1}}',2],
+
+ boxed: ['Macro','\\fbox{$\\displaystyle{#1}$}',1],
+
+ tag: 'HandleTag',
+ notag: ['Macro',''],
+
+ substack: ['Macro','\\begin{subarray}{c}#1\\end{subarray}',1],
+
+ varliminf: ['Macro','\\mathop{\\underline{\\raise1.5pt{\\rule{0pt}{.6em}{0pt}\\smash{\\lower1.5pt{\\rm lim}}}}}'],
+ varlimsup: ['Macro','\\mathop{\\overline{\\rule{0pt}{.6em}{0pt}\\smash{\\rm lim}}}'],
+ varinjlim: ['Macro','\\mathop{\\underrightarrow{\\rm lim}}'],
+ varprojlim: ['Macro','\\mathop{\\underleftarrow{\\rm lim}}'],
+
+ DeclareMathOperator: 'HandleDeclareOp',
+ operatorname: 'HandleOperatorName',
+
+ genfrac: 'Genfrac',
+ frac: ['Genfrac',"","","",""],
+ tfrac: ['Genfrac',"","","","1"],
+ dfrac: ['Genfrac',"","","","0"],
+ binom: ['Genfrac',"(",")","0pt",""],
+ tbinom: ['Genfrac',"(",")","0pt","1"],
+ dbinom: ['Genfrac',"(",")","0pt","0"],
+
+ cfrac: 'CFrac',
+
+ shoveleft: ['HandleShove','left'],
+ shoveright: ['HandleShove','right']
+ },
+
+ environments: {
+ align: ['Array',null,null,'rlrlrlrlrlrl',[5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18],1,'D'],
+ 'align*': ['Array',null,null,'rlrlrlrlrlrl',[5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18],1,'D'],
+ aligned: ['Array',null,null,'rlrlrlrlrlrl',[5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18],1,'D'],
+ multline: 'Multline',
+ 'multline*': 'Multline',
+ split: ['Array',null,null,'rl',[5/18],1,'D'],
+ gather: ['Array',null,null,'c',null,1,'D'],
+ 'gather*': ['Array',null,null,'c',null,1,'D'],
+ gathered: ['Array',null,null,'c',null,1,'D'],
+ subarray: ['Array',null,null,null,[0,0,0,0],1,'S',0,.25],
+ smallmatrix: ['Array',null,null,'cccccccccc',[1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3,1/3],1,'S',0]
+ },
+
+ delimiter: {
+ '\\lvert': [4,2,0x6A,3,0x0C],
+ '\\rvert': [5,2,0x6A,3,0x0C],
+ '\\lVert': [4,2,0x6B,3,0x0D],
+ '\\rVert': [5,2,0x6B,3,0x0D]
+ },
+
+ /*
+ * Ignore the tag for now
+ */
+ HandleTag: function (name) {
+ var arg = this.trimSpaces(this.GetArgument(this.cmd+name)); if (this.error) return;
+ if (arg == "*") this.GetArgument(this.cmd+name);
+ },
+
+ /*
+ * Handle \DeclareMathOperator
+ */
+ HandleDeclareOp: function (name) {
+ var limits = "";
+ var cs = this.trimSpaces(this.GetArgument(this.cmd+name)); if (this.error) return;
+ if (cs == "*") {
+ limits = "\\limits";
+ cs = this.trimSpaces(this.GetArgument(this.cmd+name)); if (this.error) return;
+ }
+ if (cs.charAt(0) == "\\") {cs = cs.substr(1)}
+ var op = this.GetArgument(this.cmd+name); if (this.error) return;
+ op = op.replace(/\*/g,'\\char{cmr10}{0x2A}').replace(/-/g,'\\char{cmr10}{0x2D}');
+ jsMath.Parser.prototype.macros[cs] = ['Macro','\\mathop{\\rm '+op+'}'+limits];
+ },
+
+ HandleOperatorName: function (name) {
+ var limits = "\\nolimits";
+ var op = this.trimSpaces(this.GetArgument(this.cmd+name)); if (this.error) return;
+ if (op == "*") {
+ limits = "\\limits";
+ op = this.trimSpaces(this.GetArgument(this.cmd+name)); if (this.error) return;
+ }
+ op = op.replace(/\*/g,'\\char{cmr10}{0x2A}').replace(/-/g,'\\char{cmr10}{0x2D}');
+ this.string = '\\mathop{\\rm '+op+'}'+limits+this.string.slice(this.i);
+ this.i = 0;
+ },
+
+ /*
+ * Record presence of \shoveleft and \shoveright
+ */
+ HandleShove: function (name,data) {
+ if (this.mlist.data.entry == null) {this.mlist.data.entry = {}}
+ this.mlist.data.entry.shove = data[0];
+ },
+
+ /*
+ * Handle \cfrac
+ */
+ CFrac: function (name) {
+ var lr = this.GetBrackets(this.cmd+name); if (this.error) return;
+ var num = this.GetArgument(this.cmd+name); if (this.error) return;
+ var den = this.GetArgument(this.cmd+name); if (this.error) return;
+
+ num = this.Process('\\strut\\textstyle{'+num+'}'); if (this.error) return;
+ den = this.Process('\\strut\\textstyle{'+den+'}'); if (this.error) return;
+ var data = this.mlist.data;
+ var TeX = jsMath.Typeset.TeX(data.style,data.size);
+
+ if (lr != "") {
+ if (lr != 'l' && lr != 'r') {this.Error("Illegal alignment specified in "+this.cmd+name); return}
+ num = jsMath.Box.Set(num,data.style,data.size);
+ den = jsMath.Box.Set(den,data.style,data.size);
+ if (num.w > den.w) {
+ if (lr == 'l') {den.html += jsMath.HTML.Spacer(num.w-den.w)}
+ else {den.html = jsMath.HTML.Spacer(num.w-den.w) + den.html}
+ den.w = num.w;
+ } else if (num.w < den.w) {
+ if (lr == 'l') {num.html += jsMath.HTML.Spacer(den.w-num.w)}
+ else {num.html = jsMath.HTML.Spacer(den.w-num.w) + num.html}
+ num.w = den.w;
+ }
+ }
+
+ this.mlist.Add(jsMath.mItem.Fraction(name,num,den,TeX.default_rule_thickness));
+ },
+
+ /*
+ * Implement AMS generalized fraction
+ */
+ Genfrac: function (name,data) {
+ var left = data[0]; var right = data[1];
+ var thickness = data[2]; var style = data[3];
+
+ if (left != null) {left = this.delimiter[left]} else
+ {left = this.GetDelimiterArg(this.cmd+name); if (this.error) return}
+ if (right != null) {right = this.delimiter[right]} else
+ {right = this.GetDelimiterArg(this.cmd+name); if (this.error) return}
+ if (thickness == null) {thickness = this.GetArgument(this.cmd+name); if (this.error) return}
+ if (style == null) {style = this.GetArgument(this.cmd+name); if (this.error) return}
+
+ var num = this.ProcessArg(this.cmd+name); if (this.error) return;
+ var den = this.ProcessArg(this.cmd+name); if (this.error) return;
+
+ if (left == "") {left = null}; if (right == "") {right = null}
+ if (thickness == "") {
+ var TeX =jsMath.Typeset.TeX(this.mlist.data.style,this.mlist.data.size);
+ thickness = TeX.default_rule_thickness;
+ } else {
+ thickness = this.ParseDimen(thickness,this.cmd+name,0,0);
+ }
+
+ var frac = jsMath.mItem.Fraction(name,num,den,thickness,left,right);
+
+ if (style != "") {
+ style = (["D","T","S","SS"])[style];
+ if (style == null) {this.Error("Bad math style for "+this.cmd+name); return}
+ var mlist = new jsMath.mList([new jsMath.mItem('style',{style:style}),frac]);
+ this.mlist.Add(jsMath.mItem.Atom('inner',{type:'mlist',mlist: mlist}));
+ } else {
+ this.mlist.Add(frac);
+ }
+ },
+
+ /*
+ * Implements the multline environment
+ */
+ Multline: function (name,delim) {
+ var data = this.mlist.data;
+ var width = this.GetBrackets(this.cmd+'begin{'+name+'}'); if (this.error) return;
+ var arg = this.GetEnd(name); if (this.error) return;
+
+ var parse = new jsMath.Parser(arg+this.cmd+'\\',null,data.size,'D');
+ parse.matrix = name; parse.row = []; parse.table = []; parse.rspacing = [];
+ parse.Parse(); if (parse.error) {this.Error(parse); return}
+ parse.HandleRow(name,1); // be sure the last row is recorded
+
+ //
+ // check rows for extra columns and maximum width
+ //
+ var i; var row; var W = 0;
+ for (i = 0; i < parse.table.length; i++) {
+ row = parse.table[i];
+ if (row.length > 1) {
+ this.Error("Rows can contain only one equation in '"+name+"' environment");
+ return;
+ }
+ if (row[0].w > W) {W = row[0].w}
+ }
+
+ //
+ // Determine width of display
+ //
+ if (width == "") {width = W+2} else {
+ width = this.ParseDimen(width,name,0,0);
+ if (width < W) {width = W}
+ }
+
+ //
+ // Shove the top and bottom lines
+ //
+ if (parse.table.length > 1) {
+ parse.table[0][0].entry.shove = 'left';
+ row = parse.table[parse.table.length-1];
+ if (!row[0].entry.shove) {row[0].entry.shove = 'right'}
+ }
+ //
+ // Adjust widths of shoved lines
+ //
+ for (i = 0; i < parse.table.length; i++) {
+ row = parse.table[i][0];
+ if (row.entry.shove && row.w < width) {
+ switch (row.entry.shove) {
+ case 'left':
+ row.html += jsMath.HTML.Spacer(width-row.w);
+ break;
+
+ case 'right':
+ row.html = jsMath.HTML.Spacer(width-row.w)+row.html;
+ break;
+ }
+ row.w = width;
+ }
+ }
+
+ //
+ // Do the layout
+ //
+ var box = jsMath.Box.Layout(data.size,parse.table);
+ this.mlist.Add(jsMath.mItem.Atom('ord',box));
+ },
+
+ /*
+ * Get a delimiter or empty argument
+ */
+ GetDelimiterArg: function (name) {
+ var c = this.trimSpaces(this.GetArgument(name)); if (this.error) return null;
+ if (c == "") return null;
+ if (this.delimiter[c]) return this.delimiter[c];
+ this.Error("Missing or unrecognized delimiter for "+name);
+ return null;
+ }
+});
\ No newline at end of file