interactive-mining/interactive-mining-3rdparty.../madis/src/docs/source/_static/jsMath/extensions/AMSmath.js

293 lines
10 KiB
JavaScript
Executable File

/*
* 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;
}
});