loncom/html/adm/jsMath/jsMath.js - view

File: [LON-CAPA] / loncom / html / adm / jsMath / jsMath.js
Revision 1.1: download - view: text, annotated - select for diffs
Fri Feb 25 04:57:49 2005 UTC (19 years, 3 months ago) by albertel
Branches: MAIN
CVS tags: version_2_0_X, version_2_0_2, version_2_0_1, version_2_0_0, version_1_99_3, version_1_99_2, version_1_99_1_tmcc, version_1_99_1, version_1_99_0_tmcc, version_1_99_0, HEAD

- adding jsMath to repository

/***************************************************************************** * * jsMath: Mathematics on the Web * * Version: 1.7e * * This jsMath package makes it possible to display mathematics in HTML pages * that are viewable by a wide range of browsers on both the Mac and the IBM PC, * including browsers that don't process MathML. See * * http://www.math.union.edu/locate/jsMath * * for the latest version, and for documentation on how to use jsMath. * * Copyright (c) 2004-2005 by Davide P. Cervone. * * This program is free software; you can redistribute it and/or * modify it under the terms of the GNU General Public License * as published by the Free Software Foundation; either version 2 * of the License. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. * *****************************************************************************/ /* * Prevent running everything again if this file is loaded twice */ if (!window.jsMath) { // // debugging routine // function ShowObject (obj,spaces) { var s = ''; if (!spaces) {spaces = ""} for (var i in obj) { if (obj[i] != null) { if (typeof(obj[i]) == "object") { s += spaces + i + ": {\n" + ShowObject(obj[i],spaces + ' ') + spaces + "}\n"; } else if (typeof(obj[i]) != "function") { s += spaces + i + ': ' + obj[i] + "\n"; } } } return s; } /***************************************************************************/ // // Check for DOM support // if (!document.getElementById || !document.childNodes || !document.createElement) { alert('The mathematics on this page requires W3C DOM support in its JavaScript. ' + 'Unfortunately, your browser doesn\'t seem to have this.'); } else { /***************************************************************************/ var jsMath = { // // Name of image files // blank: "blank.gif", black: "black.gif", // // The TeX font parameters // TeX: { thinmuskip: 3/18, medmuskip: 4/18, thickmuskip: 5/18, x_height: .430554, quad: 1, num1: .676508, num2: .393732, num3: .44373, denom1: .685951, denom2: .344841, sup1: .412892, sup2: .362892, sup3: .288888, sub1: .15, sub2: .247217, sup_drop: .386108, sub_drop: .05, delim1: 2.39, delim2: 1.0, axis_height: .25, default_rule_thickness: .04, big_op_spacing1: .111111, big_op_spacing2: .166666, big_op_spacing3: .2, big_op_spacing4: .6, big_op_spacing5: .1, integer: 6553.6, // conversion of em's to TeX internal integer scriptspace: .05, nulldelimiterspace: .12, delimiterfactor: 901, delimitershortfall: .5, scale: 1 // scaling factor for font dimensions }, // Font sizes for \tiny, \small, etc. (must match styles below) sizes: [50, 60, 70, 85, 100, 120, 144, 173, 207, 249], allowAbsolute: 1, // tells if browser can nest absolutely positioned // SPANs inside relative SPANs absoluteOffsetY: 0, // vertical adjustment when absolute position is used allowAbsoluteDelim: 0, // OK to use absolute placement for building delims? renameOK: 1, // tells if brower will find a tag whose name // has been set via setAttributes separateNetgativeSkips: 0, // MSIE doesn't do negative left margins separateSkips: 0, // Netscape doesn't combine skips well noEmptySpans: 0, // empty spans are/aren't allowed msieSpaceFix: '', // for MSIE spacing bug fix delay: 1, // delay for asynchronous math processing defaultH: 0, // default height for characters with no height specified // // Debugging flags // show: { BBox: false, Baseline: false, Top: false }, // // The styles needed for the TeX fonts // styles: { '.size0': 'font-size: 50%', // tiny (\scriptscriptsize) '.size1': 'font-size: 60%', // (50% of \large for consistency) '.size2': 'font-size: 70%', // scriptsize '.size3': 'font-size: 85%', // small (70% of \large for consistency) '.size4': 'font-size: 100%', // normalsize '.size5': 'font-size: 120%', // large '.size6': 'font-size: 144%', // Large '.size7': 'font-size: 173%', // LARGE '.size8': 'font-size: 207%', // huge '.size9': 'font-size: 249%', // Huge '.cmr10': 'font-family: cmr10', '.cmbx10': 'font-family: cmbx10, cmr10', '.cmti10': 'font-family: cmti10, cmr10', '.cmmi10': 'font-family: cmmi10', '.cmsy10': 'font-family: cmsy10', '.cmex10': 'font-family: cmex10', '.arial': 'font-family: Arial unicode MS', // for MSIE '.normal': 'font-family: serif; font-style: normal', '.math': 'font-family: serif; font-style: normal', '.typeset': 'font-family: serif; font-style: normal', 'span.typeset': 'font-family: serif; font-style: normal', 'div.typeset': 'font-family: serif; font-style: normal; text-align: center; margin-top: 1em; margin-bottom: 1em', '.mathlink': 'text-decoration: none', '.mathHD': 'border-width: 0; width: 1px; margin-right: -1px', '.error': 'font-size: 10pt; font-style: italic; ' + 'background-color: #FFFFCC; padding: 1; ' + 'border-width: 1; border-style: solid; border-color: #CC0000' }, /***************************************************************************/ /* * Get the width and height (in pixels) of an HTML string */ BBoxFor: function (s) { this.hidden.innerHTML = s; var bbox = {w: this.hidden.offsetWidth, h: this.hidden.offsetHeight}; this.hidden.innerHTML = ''; // avoid MSIE bug on the Mac return bbox; }, /* * Get the width and height (in ems) of an HTML string */ EmBoxFor: function (s) { var bbox = this.BBoxFor(s); return {w: bbox.w/this.em, h: bbox.h/this.em}; }, /* * Determine if the "top" of a <SPAN> is always at the same height * or varies with the height of the rest of the line (MSIE). */ TestSpanHeight: function () { this.hidden.innerHTML = '<SPAN><IMG SRC="'+jsMath.blank+'" STYLE="height: 2em"></SPAN>'; var span = this.hidden.getElementsByTagName('SPAN')[0]; var img = this.hidden.getElementsByTagName('IMG')[0]; this.spanHeightVaries = (span.offsetHeight == img.offsetHeight); this.hidden.innerHTML = ''; }, /* * Determine if the NAME attribute of a tag can be changed * using the setAttribute function, and then be properly * returned by getElementByName. */ TestRenameOK: function () { this.hidden.innerHTML = '<SPAN ID="jsMath.test"></SPAN>'; var test = document.getElementById('jsMath.test'); test.setAttribute('NAME','jsMath_test'); this.renameOK = (document.getElementsByName('jsMath_test').length > 0); this.hidden.innerHTML = ''; }, /* * Look to see if a font is found. HACK! * Check the character in the '|' position, and see if it is * wider than the usual '|'. */ TestFont: function (name,n,factor) { if (n == null) {n = 124}; if (factor == null) {factor = 2} var wh1 = this.BBoxFor('<SPAN STYLE="font-family: '+name+', serif">'+this.TeX[name][n].c+'</SPAN>'); var wh2 = this.BBoxFor('<SPAN STYLE="font-family: serif">'+this.TeX[name][n].c+'</SPAN>'); return (wh1.w > factor*wh2.w && wh1.h != 0); }, TestFont2: function (name,n,factor) { if (n == null) {n = 124}; if (factor == null) {factor = 2} var wh1 = this.BBoxFor('<SPAN STYLE="font-family: '+name+', serif">'+this.TeX[name][n].c+'</SPAN>'); var wh2 = this.BBoxFor('<SPAN STYLE="font-family: serif">'+this.TeX[name][n].c+'</SPAN>'); return (wh2.w > factor*wh1.w && wh1.h != 0); }, /* * Check for the availability of TeX fonts. We do this by looking at * the width and height of a character in the cmex10 font. The cmex10 * font has depth considerably greater than most characters' widths (the * whole font has the depth of the character with greatest depth). This * is not the case for most fonts, so if we can access cmex10, the * height of a character should be much bigger than the width. * Otherwise, if we don't have cmex10, we'll get a character in another * font with normal height and width. In this case, we insert a message * pointing the user to the jsMath site, and load one of the fallback * definitions. * */ CheckFonts: function () { jsMath.nofonts = 0; var wh = this.BBoxFor('<SPAN STYLE="font-family: cmex10">'+this.TeX.cmex10[1].c+'</SPAN>'); if (wh.w*3 < wh.h && wh.h != 0) return; if (this.TestFont('cmr10')) return; if (window.NoFontMessage) {window.NoFontMessage()} else {this.NoFontMessage()} if (navigator.platform == 'Win32') { document.writeln('<SCRIPT SRC="'+this.root+'jsMath-fallback-pc.js"></SCRIPT>'); } else if (navigator.platform == 'MacPPC') { document.writeln('<SCRIPT SRC="'+this.root+'jsMath-fallback-mac.js"></SCRIPT>'); } else { // default to unix? Is there a better way to tell if unix? document.writeln('<SCRIPT SRC="'+this.root+'jsMath-fallback-unix.js"></SCRIPT>'); } jsMath.nofonts = 1; }, /* * The message for when no TeX fonts. You can eliminate this message * by including * * <SCRIPT>function NoFontMessage() {}</SCRIPT> * * in your HTML file, if you want. But this means the user may not know * that he or she can get a better version of your page. */ NoFontMessage: function () { document.writeln ('<CENTER><DIV STYLE="padding: 10; border-style: solid; border-width:3;' +' border-color: #DD0000; background-color: #FFF8F8; width: 75%; text-align: left">' +'<SMALL><FONT COLOR="#AA0000"><B>Warning:</B>\n' +'It looks like you don\'t have the TeX math fonts installed.\n' +'The mathematics on this page may not look right without them.\n' +'The <A HREF="http://www.math.union.edu/locate/jsMath/" TARGET="_blank">' +'jsMath Home Page</A> has information on how to download the\n' +'needed fonts. In the meantime, we will do the best we can\n' +'with the fonts you have, but it may not be pretty and some equations\n' +'may not be rendered correctly.\n' +'</FONT></SMALL></DIV></CENTER><p><HR><p>'); }, /* * Initialize jsMath. This determines the em size, and a variety * of other parameters used throughout jsMath. */ Init: function() { this.em = this.BBoxFor('<DIV STYLE="width: 20em; height: 1em"></DIV>').w/20; var h = this.BBoxFor('x').h; // Line height and depth to baseline var d = this.BBoxFor('x<IMG SRC="'+jsMath.black+'" HEIGHT="'+h+'" WIDTH="1">').h - h; this.h = (h-d)/this.em; this.d = d/this.em; this.hd = this.h + this.d; this.ph = h-d; this.pd = d; this.InitTeXfonts(); var x_height = this.EmBoxFor('<SPAN CLASS="cmr10">M</SPAN>').w/2; this.TeX.M_height = x_height*(26/14); this.TeX.h = this.h; this.TeX.d = this.d; this.TeX.hd = this.hd; // factor for \big and its brethren this.p_height = (this.TeX.cmex10[0].h+this.TeX.cmex10[0].d) / .85; this.InitSizes(); this.initialized = 1; }, /* * Find the root URL for the jsMath files (so we can load * the other .js and .gif files */ InitSource: function () { var script = document.getElementsByTagName('SCRIPT'); var src = script[script.length-1].getAttribute('SRC'); if (src.match('(^|/)jsMath.js$')) { this.root = src.replace(/jsMath.js$/,''); this.blank = this.root + this.blank; this.black = this.root + this.black; } }, /* * Look up the default height and depth for a TeX font * and set the skewchar */ InitTeXfont: function (name) { var font = this.TeX[name]; var WH = this.EmBoxFor('<SPAN CLASS="'+name+'">'+font[65].c+'</SPAN>'); font.hd = WH.h; font.d = this.EmBoxFor('<SPAN CLASS="'+name+'">'+ font[65].c + '<IMG SRC="'+jsMath.black+'" STYLE="height:'+font.hd+'em; width:1"></SPAN>').h - font.hd; font.h = font.hd - font.d; font.dh = .05; if (name == 'cmmi10') {font.skewchar = 0177} else if (name == 'cmsy10') {font.skewchar = 060} }, /* * Init all the TeX fonts */ InitTeXfonts: function () { for (var i = 0; i < this.TeX.fam.length; i++) {if (this.TeX.fam[i]) {this.InitTeXfont(this.TeX.fam[i])}} }, /* * Compute font parameters for various sizes */ InitSizes: function () { this.TeXparams = []; for (var j=0; j < this.sizes.length; j++) {this.TeXparams[j] = {}} for (var i in this.TeX) { if (typeof(this.TeX[i]) != 'object') { for (var j=0; j < this.sizes.length; j++) { this.TeXparams[j][i] = this.sizes[j]*this.TeX[i]/100; } } } }, /* * Test for browser characteristics, and adjust the font table * to overcome specific browser bugs */ InitBrowser: function () { jsMath.browser = 'unknown'; this.isSafari = navigator.userAgent.match(/Safari/); this.TestSpanHeight(); this.TestRenameOK(); // // Check for bug-filled Internet Explorer // if (this.spanHeightVaries) { jsMath.browser = 'MSIE'; if (navigator.platform == 'Win32') { this.UpdateTeXfonts({ cmr10: {'10': {c: 'Ω', tclass: 'normal'}}, cmmi10: { '10': {c: '<I>Ω</I>', tclass: 'normal'}, '126': {c: '~<SPAN STYLE="margin-left:.1em"></SPAN>'} }, cmsy10: {'10': {c: '⊗', tclass: 'arial'}}, cmex10: {'10': {c: '<SPAN STYLE="font-size: 67%">D</SPAN>'}}, cmti10: {'10': {c: '<I>Ω</I>', tclass: 'normal'}}, cmbx10: {'10': {c: '<B>Ω</B>', tclass: 'normal'}} }); this.allowAbsoluteDelim = 1; this.separateSkips = 1; this.msieFontBug = 1; this.msieIntegralBug = 1; this.msieSpaceFix = '<IMG SRC="'+jsMath.blank+'" CLASS="mathHD">'; jsMath.Macro('joinrel','\\mathrel{\\kern-5mu}'), jsMath.Macro('mapsto','\\mapstochar\\kern-.54em\\rightarrow'); jsMath.Macro('longmapsto','\\mapstochar\\kern-.54em\\char{cmsy10}{0}\\joinrel\\rightarrow'); } else if (navigator.platform == 'MacPPC') { document.writeln('<SCRIPT SRC="'+this.root+'jsMath-msie-mac.js"></SCRIPT>'); jsMath.Parser.prototype.macros.angle = ['Replace','ord','<FONT FACE="Symbol"></FONT>','normal']; jsMath.msieAbsoluteBug = 1; } jsMath.Macro('not','\\mathrel{\\rlap{\\kern3mu/}}'); } // // Look for Netscape/Mozilla (any flavor) // if (this.hidden.ATTRIBUTE_NODE) { jsMath.browser = 'Mozilla'; if (navigator.platform == 'MacPPC') { this.UpdateTeXfonts({ cmr10: {'10': {c: 'Ω', tclass: 'normal'}}, cmmi10: {'10': {c: '<I>Ω</I>', tclass: 'normal'}}, cmsy10: {'10': {c: '&otimes;', tclass: 'normal'}}, cmex10: {'10': {c: '<SPAN STYLE="font-size: 67%">D</SPAN>'}}, cmti10: {'10': {c: '<I>Ω</I>', tclass: 'normal'}}, cmbx10: {'10': {c: '<B>Ω</B>', tclass: 'normal'}} }); } else { document.writeln('<SCRIPT SRC="'+this.root+'jsMath-mozilla.js"></SCRIPT>'); } for (var i = 0; i < this.TeX.fam.length; i++) { if (this.TeX.fam[i]) {this.styles['.'+this.TeX.fam[i]] += '; position: relative'} } this.allowAbsoluteDelim = 1; this.separateSkips = 1; jsMath.Macro('not','\\mathrel{\\rlap{\\kern3mu/}}'); } // // Look for OmniWeb // if (navigator.accentColorName) { jsMath.browser = 'OmniWeb'; this.allowAbsolute = 0; } // // Look for Opera // if (navigator.userAgent.search(" Opera ") >= 0) { jsMath.browser = 'Opera'; this.isOpera = 1; this.UpdateTeXfonts({ cmr10: { '10': {c: 'Ω', tclass: 'normal'}, '20': {c: 'ˇ', tclass: 'normal'} }, cmmi10: { '10': {c: '<I>Ω</I>', tclass: 'normal'}, '20': {c: 'κ', tclass: 'normal'} }, cmsy10: { '10': {c: '&otimes;', tclass: 'normal'}, '20': {c: '≤', tclass: 'normal'} }, cmex10: { '10': {c: '<SPAN STYLE="font-size: 67%">D</SPAN>'}, '20': {c: '<SPAN STYLE="font-size: 82%">"</SPAN>'} }, cmti10: { '10': {c: '<I>Ω</I>', tclass: 'normal'}, '20': {c: '<I>ˇ</I>', tclass: 'normal'} }, cmbx10: { '10': {c: '<B>Ω</B>', tclass: 'normal'}, '20': {c: '<B>ˇ</B>', tclass: 'normal'} } }); this.allowAbsolute = 0; jsMath.delay = 10; } // // Look for Safari // if (this.isSafari) { jsMath.browser = 'Safari'; var version = navigator.userAgent.match("Safari/([0-9]+)")[1]; if (version < 125) {this.allowAbsolute = 0; this.oldSafari = 1} for (var i = 0; i < this.TeX.fam.length; i++) {if (this.TeX.fam[i] != '') {this.TeX[this.TeX.fam[i]].dh = .1}} this.absoluteOffsetY = -.05; this.TeX.axis_height += .05; this.allowAbsoluteDelim = ! this.oldSafari; } // // Change some routines depending on the browser // if (this.allowAbsoluteDelim) { jsMath.Box.DelimExtend = jsMath.Box.DelimExtendAbsolute; jsMath.Box.Layout = jsMath.Box.LayoutAbsolute; } else { jsMath.Box.DelimExtend = jsMath.Box.DelimExtendRelative; jsMath.Box.Layout = jsMath.Box.LayoutRelative; } if (this.separateNegativeSkips) { jsMath.HTML.Place = jsMath.HTML.PlaceSeparateNegative; jsMath.Typeset.prototype.Place = jsMath.Typeset.prototype.PlaceSeparateNegative; } else if (this.separateSkips) { jsMath.HTML.Place = jsMath.HTML.PlaceSeparateSkips; jsMath.Typeset.prototype.Place = jsMath.Typeset.prototype.PlaceSeparateSkips; } if (this.noEmptySpans) {jsMath.HTML.Spacer = jsMath.HTML.SpacerImage} }, /* * Define some styles */ WriteStyles: function (styles) { document.writeln('<STYLE TYPE="text/css">'); for (var id in styles) {document.writeln(' '+id+' {'+styles[id]+'}')} document.writeln('</STYLE>'); }, /* * Send the style definitions to the browser (these may be adjusted * by the browser-specific code) */ InitStyles: function () {this.WriteStyles(this.styles)}, /* * Update specific parameters for a limited number of font entries */ UpdateTeXfonts: function (change) { for (var font in change) { for (var code in change[font]) { for (var id in change[font][code]) { this.TeX[font][code][id] = change[font][code][id]; } } } }, /* * Update the character code for every character in a list * of fonts */ UpdateTeXfontCodes: function (change) { for (var font in change) { for (var i = 0; i < change[font].length; i++) { this.TeX[font][i].c = change[font][i]; } } }, /* * Add a collection of styles to the style list */ UpdateStyles: function (styles) { for (var i in styles) {this.styles[i] = styles[i]} }, /* * Manage JavaScript objects: * * Add: simply add items to an object * Package: add items to an object prototype */ Add: function (obj,def) {for (var id in def) {obj[id] = def[id]}}, Package: function (obj,def) {this.Add(obj.prototype,def)} } /***************************************************************************/ jsMath.Add(jsMath.TeX,{ // The TeX math atom types (see Appendix G of the TeXbook) atom: ['ord', 'op', 'bin', 'rel', 'open', 'close', 'punct', 'ord'], // The TeX font families fam: ['cmr10','cmmi10','cmsy10','cmex10','cmti10','','cmbx10'], /* * The following are the TeX font mappings and metrics. The metric * information comes directly from the TeX .tfm files, and the * character mappings are for the TrueType TeX fonts. Browser-specific * adjustments are made to these tables in the InitBrowser() routine */ cmr10: [ // 00 - 0F {c: '¡', h: 0.683, w: 0.625}, {c: '¢', h: 0.683, w: 0.833}, {c: '£', h: 0.683, w: 0.778}, {c: '¤', h: 0.683, w: 0.694}, {c: '¥', h: 0.683, w: 0.667}, {c: '¦', h: 0.683, w: 0.75}, {c: '§', h: 0.683, w: 0.722}, {c: '¨', h: 0.683, w: 0.778}, {c: '©', h: 0.683, w: 0.722}, {c: 'ª', h: 0.683, w: 0.778}, {c: '', h: 0.683, w: 0.722}, {c: '®', h: 0.694, w: 0.583, ic: 0.0778, krn: {'39': 0.0778, '63': 0.0778, '33': 0.0778, '41': 0.0778, '93': 0.0778}, lig: {'105': 14, '108': 15}}, {c: '¯', h: 0.694, w: 0.556}, {c: '°', h: 0.694, w: 0.556}, {c: '±', h: 0.694, w: 0.833}, {c: '²', h: 0.694, w: 0.833}, // 10 - 1F {c: '³', h: 0.431, w: 0.278}, {c: '´', h: 0.431, d: 0.194, w: 0.306}, {c: 'µ', h: 0.694, w: 0.5}, {c: '¶', h: 0.694, w: 0.5}, {c: '∙', h: 0.628, w: 0.5}, {c: '¸', h: 0.694, w: 0.5}, {c: '¹', h: 0.568, w: 0.5}, {c: 'º', h: 0.694, w: 0.75}, {c: '»', d: 0.17, w: 0.444}, {c: '¼', h: 0.694, w: 0.5}, {c: '½', h: 0.431, w: 0.722}, {c: '¾', h: 0.431, w: 0.778}, {c: '¿', h: 0.528, d: 0.0972, w: 0.5}, {c: 'À', h: 0.683, w: 0.903}, {c: 'Á', h: 0.683, w: 1.01}, {c: 'Â', h: 0.732, d: 0.0486, w: 0.778}, // 20 - 2F {c: 'Ã', h: 0.431, w: 0.278, krn: {'108': -0.278, '76': -0.319}}, {c: '!', h: 0.694, w: 0.278, lig: {'96': 60}}, {c: '"', h: 0.694, w: 0.5}, {c: '#', h: 0.694, d: 0.194, w: 0.833}, {c: '$', h: 0.75, d: 0.0556, w: 0.5}, {c: '%', h: 0.75, d: 0.0556, w: 0.833}, {c: '&', h: 0.694, w: 0.778}, {c: '\'', h: 0.694, w: 0.278, krn: {'63': 0.111, '33': 0.111}, lig: {'39': 34}}, {c: '(', h: 0.75, d: 0.25, w: 0.389}, {c: ')', h: 0.75, d: 0.25, w: 0.389}, {c: '*', h: 0.75, w: 0.5}, {c: '+', h: 0.583, d: 0.0833, w: 0.778}, {c: ',', h: 0.106, d: 0.194, w: 0.278}, {c: '-', h: 0.431, w: 0.333, lig: {'45': 123}}, {c: '.', h: 0.106, w: 0.278}, {c: '/', h: 0.75, d: 0.25, w: 0.5}, // 30 - 3F {c: '0', h: 0.644, w: 0.5}, {c: '1', h: 0.644, w: 0.5}, {c: '2', h: 0.644, w: 0.5}, {c: '3', h: 0.644, w: 0.5}, {c: '4', h: 0.644, w: 0.5}, {c: '5', h: 0.644, w: 0.5}, {c: '6', h: 0.644, w: 0.5}, {c: '7', h: 0.644, w: 0.5}, {c: '8', h: 0.644, w: 0.5}, {c: '9', h: 0.644, w: 0.5}, {c: ':', h: 0.431, w: 0.278}, {c: ';', h: 0.431, d: 0.194, w: 0.278}, {c: '<', h: 0.5, d: 0.194, w: 0.278}, {c: '=', h: 0.367, d: -0.133, w: 0.778}, {c: '>', h: 0.5, d: 0.194, w: 0.472}, {c: '?', h: 0.694, w: 0.472, lig: {'96': 62}}, // 40 - 4F {c: '@', h: 0.694, w: 0.778}, {c: 'A', h: 0.683, w: 0.75, krn: {'116': -0.0278, '67': -0.0278, '79': -0.0278, '71': -0.0278, '85': -0.0278, '81': -0.0278, '84': -0.0833, '89': -0.0833, '86': -0.111, '87': -0.111}}, {c: 'B', h: 0.683, w: 0.708}, {c: 'C', h: 0.683, w: 0.722}, {c: 'D', h: 0.683, w: 0.764, krn: {'88': -0.0278, '87': -0.0278, '65': -0.0278, '86': -0.0278, '89': -0.0278}}, {c: 'E', h: 0.683, w: 0.681}, {c: 'F', h: 0.683, w: 0.653, krn: {'111': -0.0833, '101': -0.0833, '117': -0.0833, '114': -0.0833, '97': -0.0833, '65': -0.111, '79': -0.0278, '67': -0.0278, '71': -0.0278, '81': -0.0278}}, {c: 'G', h: 0.683, w: 0.785}, {c: 'H', h: 0.683, w: 0.75}, {c: 'I', h: 0.683, w: 0.361, krn: {'73': 0.0278}}, {c: 'J', h: 0.683, w: 0.514}, {c: 'K', h: 0.683, w: 0.778, krn: {'79': -0.0278, '67': -0.0278, '71': -0.0278, '81': -0.0278}}, {c: 'L', h: 0.683, w: 0.625, krn: {'84': -0.0833, '89': -0.0833, '86': -0.111, '87': -0.111}}, {c: 'M', h: 0.683, w: 0.917}, {c: 'N', h: 0.683, w: 0.75}, {c: 'O', h: 0.683, w: 0.778, krn: {'88': -0.0278, '87': -0.0278, '65': -0.0278, '86': -0.0278, '89': -0.0278}}, // 50 - 5F {c: 'P', h: 0.683, w: 0.681, krn: {'65': -0.0833, '111': -0.0278, '101': -0.0278, '97': -0.0278, '46': -0.0833, '44': -0.0833}}, {c: 'Q', h: 0.683, d: 0.194, w: 0.778}, {c: 'R', h: 0.683, w: 0.736, krn: {'116': -0.0278, '67': -0.0278, '79': -0.0278, '71': -0.0278, '85': -0.0278, '81': -0.0278, '84': -0.0833, '89': -0.0833, '86': -0.111, '87': -0.111}}, {c: 'S', h: 0.683, w: 0.556}, {c: 'T', h: 0.683, w: 0.722, krn: {'121': -0.0278, '101': -0.0833, '111': -0.0833, '114': -0.0833, '97': -0.0833, '65': -0.0833, '117': -0.0833}}, {c: 'U', h: 0.683, w: 0.75}, {c: 'V', h: 0.683, w: 0.75, ic: 0.0139, krn: {'111': -0.0833, '101': -0.0833, '117': -0.0833, '114': -0.0833, '97': -0.0833, '65': -0.111, '79': -0.0278, '67': -0.0278, '71': -0.0278, '81': -0.0278}}, {c: 'W', h: 0.683, w: 1.03, ic: 0.0139, krn: {'111': -0.0833, '101': -0.0833, '117': -0.0833, '114': -0.0833, '97': -0.0833, '65': -0.111, '79': -0.0278, '67': -0.0278, '71': -0.0278, '81': -0.0278}}, {c: 'X', h: 0.683, w: 0.75, krn: {'79': -0.0278, '67': -0.0278, '71': -0.0278, '81': -0.0278}}, {c: 'Y', h: 0.683, w: 0.75, ic: 0.025, krn: {'101': -0.0833, '111': -0.0833, '114': -0.0833, '97': -0.0833, '65': -0.0833, '117': -0.0833}}, {c: 'Z', h: 0.683, w: 0.611}, {c: '[', h: 0.75, d: 0.25, w: 0.278}, {c: '\\', h: 0.694, w: 0.5}, {c: ']', h: 0.75, d: 0.25, w: 0.278}, {c: '^', h: 0.694, w: 0.5}, {c: '_', h: 0.668, w: 0.278}, // 60 - 6F {c: '`', h: 0.694, w: 0.278, lig: {'96': 92}}, {c: 'a', h: 0.431, w: 0.5, krn: {'118': -0.0278, '106': 0.0556, '121': -0.0278, '119': -0.0278}}, {c: 'b', h: 0.694, w: 0.556, krn: {'101': 0.0278, '111': 0.0278, '120': -0.0278, '100': 0.0278, '99': 0.0278, '113': 0.0278, '118': -0.0278, '106': 0.0556, '121': -0.0278, '119': -0.0278}}, {c: 'c', h: 0.431, w: 0.444, krn: {'104': -0.0278, '107': -0.0278}}, {c: 'd', h: 0.694, w: 0.556}, {c: 'e', h: 0.431, w: 0.444}, {c: 'f', h: 0.694, w: 0.306, ic: 0.0778, krn: {'39': 0.0778, '63': 0.0778, '33': 0.0778, '41': 0.0778, '93': 0.0778}, lig: {'105': 12, '102': 11, '108': 13}}, {c: 'g', h: 0.431, d: 0.194, w: 0.5, ic: 0.0139, krn: {'106': 0.0278}}, {c: 'h', h: 0.694, w: 0.556, krn: {'116': -0.0278, '117': -0.0278, '98': -0.0278, '121': -0.0278, '118': -0.0278, '119': -0.0278}}, {c: 'i', h: 0.668, w: 0.278}, {c: 'j', h: 0.668, d: 0.194, w: 0.306}, {c: 'k', h: 0.694, w: 0.528, krn: {'97': -0.0556, '101': -0.0278, '97': -0.0278, '111': -0.0278, '99': -0.0278}}, {c: 'l', h: 0.694, w: 0.278}, {c: 'm', h: 0.431, w: 0.833, krn: {'116': -0.0278, '117': -0.0278, '98': -0.0278, '121': -0.0278, '118': -0.0278, '119': -0.0278}}, {c: 'n', h: 0.431, w: 0.556, krn: {'116': -0.0278, '117': -0.0278, '98': -0.0278, '121': -0.0278, '118': -0.0278, '119': -0.0278}}, {c: 'o', h: 0.431, w: 0.5, krn: {'101': 0.0278, '111': 0.0278, '120': -0.0278, '100': 0.0278, '99': 0.0278, '113': 0.0278, '118': -0.0278, '106': 0.0556, '121': -0.0278, '119': -0.0278}}, // 70 - 7F {c: 'p', h: 0.431, d: 0.194, w: 0.556, krn: {'101': 0.0278, '111': 0.0278, '120': -0.0278, '100': 0.0278, '99': 0.0278, '113': 0.0278, '118': -0.0278, '106': 0.0556, '121': -0.0278, '119': -0.0278}}, {c: 'q', h: 0.431, d: 0.194, w: 0.528}, {c: 'r', h: 0.431, w: 0.392}, {c: 's', h: 0.431, w: 0.394}, {c: 't', h: 0.615, w: 0.389, krn: {'121': -0.0278, '119': -0.0278}}, {c: 'u', h: 0.431, w: 0.556, krn: {'119': -0.0278}}, {c: 'v', h: 0.431, w: 0.528, ic: 0.0139, krn: {'97': -0.0556, '101': -0.0278, '97': -0.0278, '111': -0.0278, '99': -0.0278}}, {c: 'w', h: 0.431, w: 0.722, ic: 0.0139, krn: {'101': -0.0278, '97': -0.0278, '111': -0.0278, '99': -0.0278}}, {c: 'x', h: 0.431, w: 0.528}, {c: 'y', h: 0.431, d: 0.194, w: 0.528, ic: 0.0139, krn: {'111': -0.0278, '101': -0.0278, '97': -0.0278, '46': -0.0833, '44': -0.0833}}, {c: 'z', h: 0.431, w: 0.444}, {c: '{', h: 0.431, w: 0.5, ic: 0.0278, lig: {'45': 124}}, {c: '|', h: 0.431, w: 1, ic: 0.0278}, {c: '}', h: 0.694, w: 0.5}, {c: '~', h: 0.668, w: 0.5}, {c: 'Ä', h: 0.668, w: 0.5} ], cmmi10: [ // 00 - 0F {c: '¡', h: 0.683, w: 0.615, ic: 0.139, krn: {'61': -0.0556, '59': -0.111, '58': -0.111, '127': 0.0833}}, {c: '¢', h: 0.683, w: 0.833, krn: {'127': 0.167}}, {c: '£', h: 0.683, w: 0.763, ic: 0.0278, krn: {'127': 0.0833}}, {c: '¤', h: 0.683, w: 0.694, krn: {'127': 0.167}}, {c: '¥', h: 0.683, w: 0.742, ic: 0.0757, krn: {'127': 0.0833}}, {c: '¦', h: 0.683, w: 0.831, ic: 0.0812, krn: {'61': -0.0556, '59': -0.0556, '58': -0.0556, '127': 0.0556}}, {c: '§', h: 0.683, w: 0.78, ic: 0.0576, krn: {'127': 0.0833}}, {c: '¨', h: 0.683, w: 0.583, ic: 0.139, krn: {'61': -0.0556, '59': -0.111, '58': -0.111, '127': 0.0556}}, {c: '©', h: 0.683, w: 0.667, krn: {'127': 0.0833}}, {c: 'ª', h: 0.683, w: 0.612, ic: 0.11, krn: {'61': -0.0556, '59': -0.0556, '58': -0.0556, '127': 0.0556}}, {c: '', h: 0.683, w: 0.772, ic: 0.0502, krn: {'127': 0.0833}}, {c: '®', h: 0.431, w: 0.64, ic: 0.0037, krn: {'127': 0.0278}}, {c: '¯', h: 0.694, d: 0.194, w: 0.566, ic: 0.0528, krn: {'127': 0.0833}}, {c: '°', h: 0.431, d: 0.194, w: 0.518, ic: 0.0556}, {c: '±', h: 0.694, w: 0.444, ic: 0.0378, krn: {'59': -0.0556, '58': -0.0556, '127': 0.0556}}, {c: '²', h: 0.431, w: 0.406, krn: {'127': 0.0556}}, // 10 - 1F {c: '³', h: 0.694, d: 0.194, w: 0.438, ic: 0.0738, krn: {'127': 0.0833}}, {c: '´', h: 0.431, d: 0.194, w: 0.497, ic: 0.0359, krn: {'127': 0.0556}}, {c: 'µ', h: 0.694, w: 0.469, ic: 0.0278, krn: {'127': 0.0833}}, {c: '¶', h: 0.431, w: 0.354, krn: {'127': 0.0556}}, {c: '∙', h: 0.431, w: 0.576}, {c: '¸', h: 0.694, w: 0.583}, {c: '¹', h: 0.431, d: 0.194, w: 0.603, krn: {'127': 0.0278}}, {c: 'º', h: 0.431, w: 0.494, ic: 0.0637, krn: {'59': -0.0556, '58': -0.0556, '127': 0.0278}}, {c: '»', h: 0.694, d: 0.194, w: 0.438, ic: 0.046, krn: {'127': 0.111}}, {c: '¼', h: 0.431, w: 0.57, ic: 0.0359}, {c: '½', h: 0.431, d: 0.194, w: 0.517, krn: {'127': 0.0833}}, {c: '¾', h: 0.431, w: 0.571, ic: 0.0359, krn: {'59': -0.0556, '58': -0.0556}}, {c: '¿', h: 0.431, w: 0.437, ic: 0.113, krn: {'59': -0.0556, '58': -0.0556, '127': 0.0278}}, {c: 'À', h: 0.431, w: 0.54, ic: 0.0359, krn: {'127': 0.0278}}, {c: 'Á', h: 0.694, d: 0.194, w: 0.596, krn: {'127': 0.0833}}, {c: 'Â', h: 0.431, d: 0.194, w: 0.626, krn: {'127': 0.0556}}, // 20 - 2F {c: 'Ã', h: 0.694, d: 0.194, w: 0.651, ic: 0.0359, krn: {'127': 0.111}}, {c: '!', h: 0.431, w: 0.622, ic: 0.0359}, {c: '"', h: 0.431, w: 0.466, krn: {'127': 0.0833}}, {c: '#', h: 0.694, w: 0.591, krn: {'127': 0.0833}}, {c: '$', h: 0.431, w: 0.828, ic: 0.0278}, {c: '%', h: 0.431, d: 0.194, w: 0.517, krn: {'127': 0.0833}}, {c: '&', h: 0.431, d: 0.0972, w: 0.363, ic: 0.0799, krn: {'127': 0.0833}}, {c: '\'', h: 0.431, d: 0.194, w: 0.654, krn: {'127': 0.0833}}, {c: '(', h: 0.367, d: -0.133, w: 1}, {c: ')', h: 0.367, d: -0.133, w: 1}, {c: '*', h: 0.367, d: -0.133, w: 1}, {c: '+', h: 0.367, d: -0.133, w: 1}, {c: ',', h: 0.464, d: -0.0363, w: 0.278}, {c: '-', h: 0.464, d: -0.0363, w: 0.278}, {c: '.', h: 0.465, d: -0.0347, w: 0.5}, {c: '/', h: 0.465, d: -0.0347, w: 0.5}, // 30 - 3F {c: '0', h: 0.431, w: 0.5}, {c: '1', h: 0.431, w: 0.5}, {c: '2', h: 0.431, w: 0.5}, {c: '3', h: 0.431, d: 0.194, w: 0.5}, {c: '4', h: 0.431, d: 0.194, w: 0.5}, {c: '5', h: 0.431, d: 0.194, w: 0.5}, {c: '6', h: 0.644, w: 0.5}, {c: '7', h: 0.431, d: 0.194, w: 0.5}, {c: '8', h: 0.644, w: 0.5}, {c: '9', h: 0.431, d: 0.194, w: 0.5}, {c: ':', h: 0.106, w: 0.278}, {c: ';', h: 0.106, d: 0.194, w: 0.278}, {c: '<', h: 0.539, d: 0.0391, w: 0.778}, {c: '=', h: 0.75, d: 0.25, w: 0.5, krn: {'1': -0.0556, '65': -0.0556, '77': -0.0556, '78': -0.0556, '89': 0.0556, '90': -0.0556}}, {c: '>', h: 0.539, d: 0.0391, w: 0.778}, {c: '?', h: 0.465, d: -0.0347, w: 0.5}, // 40 - 4F {c: '@', h: 0.694, w: 0.531, ic: 0.0556, krn: {'127': 0.0833}}, {c: 'A', h: 0.683, w: 0.75, krn: {'127': 0.139}}, {c: 'B', h: 0.683, w: 0.759, ic: 0.0502, krn: {'127': 0.0833}}, {c: 'C', h: 0.683, w: 0.715, ic: 0.0715, krn: {'61': -0.0278, '59': -0.0556, '58': -0.0556, '127': 0.0833}}, {c: 'D', h: 0.683, w: 0.828, ic: 0.0278, krn: {'127': 0.0556}}, {c: 'E', h: 0.683, w: 0.738, ic: 0.0576, krn: {'127': 0.0833}}, {c: 'F', h: 0.683, w: 0.643, ic: 0.139, krn: {'61': -0.0556, '59': -0.111, '58': -0.111, '127': 0.0833}}, {c: 'G', h: 0.683, w: 0.786, krn: {'127': 0.0833}}, {c: 'H', h: 0.683, w: 0.831, ic: 0.0812, krn: {'61': -0.0556, '59': -0.0556, '58': -0.0556, '127': 0.0556}}, {c: 'I', h: 0.683, w: 0.44, ic: 0.0785, krn: {'127': 0.111}}, {c: 'J', h: 0.683, w: 0.555, ic: 0.0962, krn: {'61': -0.0556, '59': -0.111, '58': -0.111, '127': 0.167}}, {c: 'K', h: 0.683, w: 0.849, ic: 0.0715, krn: {'61': -0.0556, '59': -0.0556, '58': -0.0556, '127': 0.0556}}, {c: 'L', h: 0.683, w: 0.681, krn: {'127': 0.0278}}, {c: 'M', h: 0.683, w: 0.97, ic: 0.109, krn: {'61': -0.0556, '59': -0.0556, '58': -0.0556, '127': 0.0833}}, {c: 'N', h: 0.683, w: 0.803, ic: 0.109, krn: {'61': -0.0833, '61': -0.0278, '59': -0.0556, '58': -0.0556, '127': 0.0833}}, {c: 'O', h: 0.683, w: 0.763, ic: 0.0278, krn: {'127': 0.0833}}, // 50 - 5F {c: 'P', h: 0.683, w: 0.642, ic: 0.139, krn: {'61': -0.0556, '59': -0.111, '58': -0.111, '127': 0.0833}}, {c: 'Q', h: 0.683, d: 0.194, w: 0.791, krn: {'127': 0.0833}}, {c: 'R', h: 0.683, w: 0.759, ic: 0.00773, krn: {'127': 0.0833}}, {c: 'S', h: 0.683, w: 0.613, ic: 0.0576, krn: {'61': -0.0556, '59': -0.0556, '58': -0.0556, '127': 0.0833}}, {c: 'T', h: 0.683, w: 0.584, ic: 0.139, krn: {'61': -0.0278, '59': -0.0556, '58': -0.0556, '127': 0.0833}}, {c: 'U', h: 0.683, w: 0.683, ic: 0.109, krn: {'59': -0.111, '58': -0.111, '61': -0.0556, '127': 0.0278}}, {c: 'V', h: 0.683, w: 0.583, ic: 0.222, krn: {'59': -0.167, '58': -0.167, '61': -0.111}}, {c: 'W', h: 0.683, w: 0.944, ic: 0.139, krn: {'59': -0.167, '58': -0.167, '61': -0.111}}, {c: 'X', h: 0.683, w: 0.828, ic: 0.0785, krn: {'61': -0.0833, '61': -0.0278, '59': -0.0556, '58': -0.0556, '127': 0.0833}}, {c: 'Y', h: 0.683, w: 0.581, ic: 0.222, krn: {'59': -0.167, '58': -0.167, '61': -0.111}}, {c: 'Z', h: 0.683, w: 0.683, ic: 0.0715, krn: {'61': -0.0556, '59': -0.0556, '58': -0.0556, '127': 0.0833}}, {c: '[', h: 0.75, w: 0.389}, {c: '\\', h: 0.694, d: 0.194, w: 0.389}, {c: ']', h: 0.694, d: 0.194, w: 0.389}, {c: '^', h: 0.358, d: -0.142, w: 1}, {c: '_', h: 0.358, d: -0.142, w: 1}, // 60 - 6F {c: '`', h: 0.694, w: 0.417, krn: {'127': 0.111}}, {c: 'a', h: 0.431, w: 0.529}, {c: 'b', h: 0.694, w: 0.429}, {c: 'c', h: 0.431, w: 0.433, krn: {'127': 0.0556}}, {c: 'd', h: 0.694, w: 0.52, krn: {'89': 0.0556, '90': -0.0556, '106': -0.111, '102': -0.167, '127': 0.167}}, {c: 'e', h: 0.431, w: 0.466, krn: {'127': 0.0556}}, {c: 'f', h: 0.694, d: 0.194, w: 0.49, ic: 0.108, krn: {'59': -0.0556, '58': -0.0556, '127': 0.167}}, {c: 'g', h: 0.431, d: 0.194, w: 0.477, ic: 0.0359, krn: {'127': 0.0278}}, {c: 'h', h: 0.694, w: 0.576, krn: {'127': -0.0278}}, {c: 'i', h: 0.66, w: 0.345}, {c: 'j', h: 0.66, d: 0.194, w: 0.412, ic: 0.0572, krn: {'59': -0.0556, '58': -0.0556}}, {c: 'k', h: 0.694, w: 0.521, ic: 0.0315}, {c: 'l', h: 0.694, w: 0.298, ic: 0.0197, krn: {'127': 0.0833}}, {c: 'm', h: 0.431, w: 0.878}, {c: 'n', h: 0.431, w: 0.6}, {c: 'o', h: 0.431, w: 0.485, krn: {'127': 0.0556}}, // 70 - 7F {c: 'p', h: 0.431, d: 0.194, w: 0.503, krn: {'127': 0.0833}}, {c: 'q', h: 0.431, d: 0.194, w: 0.446, ic: 0.0359, krn: {'127': 0.0833}}, {c: 'r', h: 0.431, w: 0.451, ic: 0.0278, krn: {'59': -0.0556, '58': -0.0556, '127': 0.0556}}, {c: 's', h: 0.431, w: 0.469, krn: {'127': 0.0556}}, {c: 't', h: 0.615, w: 0.361, krn: {'127': 0.0833}}, {c: 'u', h: 0.431, w: 0.572, krn: {'127': 0.0278}}, {c: 'v', h: 0.431, w: 0.485, ic: 0.0359, krn: {'127': 0.0278}}, {c: 'w', h: 0.431, w: 0.716, ic: 0.0269, krn: {'127': 0.0833}}, {c: 'x', h: 0.431, w: 0.572, krn: {'127': 0.0278}}, {c: 'y', h: 0.431, d: 0.194, w: 0.49, ic: 0.0359, krn: {'127': 0.0556}}, {c: 'z', h: 0.431, w: 0.465, ic: 0.044, krn: {'127': 0.0556}}, {c: '{', h: 0.431, w: 0.322, krn: {'127': 0.0278}}, {c: '|', h: 0.431, d: 0.194, w: 0.384, krn: {'127': 0.0833}}, {c: '}', h: 0.431, d: 0.194, w: 0.636, krn: {'127': 0.111}}, {c: '~', h: 0.714, w: 0.5, ic: 0.154}, {c: 'Ä', h: 0.694, w: 0.278, ic: 0.399} ], cmsy10: [ // 00 - 0F {c: '¡', h: 0.583, d: 0.0833, w: 0.778}, {c: '¢', h: 0.444, d: -0.0556, w: 0.278}, {c: '£', h: 0.583, d: 0.0833, w: 0.778}, {c: '¤', h: 0.465, d: -0.0347, w: 0.5}, {c: '¥', h: 0.583, d: 0.0833, w: 0.778}, {c: '¦', h: 0.444, d: -0.0556, w: 0.5}, {c: '§', h: 0.583, d: 0.0833, w: 0.778}, {c: '¨', h: 0.583, d: 0.0833, w: 0.778}, {c: '©', h: 0.583, d: 0.0833, w: 0.778}, {c: 'ª', h: 0.583, d: 0.0833, w: 0.778}, {c: '', h: 0.583, d: 0.0833, w: 0.778}, {c: '®', h: 0.583, d: 0.0833, w: 0.778}, {c: '¯', h: 0.583, d: 0.0833, w: 0.778}, {c: '°', h: 0.694, d: 0.194, w: 1}, {c: '±', h: 0.444, d: -0.0556, w: 0.5}, {c: '²', h: 0.444, d: -0.0556, w: 0.5}, // 10 - 1F {c: '³', h: 0.464, d: -0.0363, w: 0.778}, {c: '´', h: 0.464, d: -0.0363, w: 0.778}, {c: 'µ', h: 0.636, d: 0.136, w: 0.778}, {c: '¶', h: 0.636, d: 0.136, w: 0.778}, {c: '∙', h: 0.636, d: 0.136, w: 0.778}, {c: '¸', h: 0.636, d: 0.136, w: 0.778}, {c: '¹', h: 0.636, d: 0.136, w: 0.778}, {c: 'º', h: 0.636, d: 0.136, w: 0.778}, {c: '»', h: 0.367, d: -0.133, w: 0.778}, {c: '¼', h: 0.483, d: -0.0169, w: 0.778}, {c: '½', h: 0.539, d: 0.0391, w: 0.778}, {c: '¾', h: 0.539, d: 0.0391, w: 0.778}, {c: '¿', h: 0.539, d: 0.0391, w: 1}, {c: 'À', h: 0.539, d: 0.0391, w: 1}, {c: 'Á', h: 0.539, d: 0.0391, w: 0.778}, {c: 'Â', h: 0.539, d: 0.0391, w: 0.778}, // 20 - 2F {c: 'Ã', h: 0.367, d: -0.133, w: 1}, {c: '!', h: 0.367, d: -0.133, w: 1}, {c: '"', h: 0.694, d: 0.194, w: 0.5}, {c: '#', h: 0.694, d: 0.194, w: 0.5}, {c: '$', h: 0.367, d: -0.133, w: 1}, {c: '%', h: 0.694, d: 0.194, w: 1}, {c: '&', h: 0.694, d: 0.194, w: 1}, {c: '\'', h: 0.464, d: -0.0363, w: 0.778}, {c: '(', h: 0.367, d: -0.133, w: 1}, {c: ')', h: 0.367, d: -0.133, w: 1}, {c: '*', h: 0.694, d: 0.194, w: 0.611}, {c: '+', h: 0.694, d: 0.194, w: 0.611}, {c: ',', h: 0.367, d: -0.133, w: 1}, {c: '-', h: 0.694, d: 0.194, w: 1}, {c: '.', h: 0.694, d: 0.194, w: 1}, {c: '/', h: 0.431, w: 0.778}, // 30 - 3F {c: '0', h: 0.556, w: 0.275}, {c: '1', h: 0.431, w: 1}, {c: '2', h: 0.539, d: 0.0391, w: 0.667}, {c: '3', h: 0.539, d: 0.0391, w: 0.667}, {c: '4', h: 0.694, d: 0.194, w: 0.889}, {c: '5', h: 0.694, d: 0.194, w: 0.889}, {c: '6', h: 0.694, d: 0.194, w: 0}, {c: '7', h: 0.367, d: -0.133, w: 0}, {c: '8', h: 0.694, w: 0.556}, {c: '9', h: 0.694, w: 0.556}, {c: ':', h: 0.431, w: 0.667}, {c: ';', h: 0.75, d: 0.0556, w: 0.5}, {c: '<', h: 0.694, w: 0.722}, {c: '=', h: 0.694, w: 0.722}, {c: '>', h: 0.694, w: 0.778}, {c: '?', h: 0.694, w: 0.778}, // 40 - 4F {c: '@', h: 0.694, w: 0.611}, {c: 'A', h: 0.683, w: 0.798, krn: {'48': 0.194}}, {c: 'B', h: 0.683, w: 0.657, ic: 0.0304, krn: {'48': 0.139}}, {c: 'C', h: 0.683, w: 0.527, ic: 0.0583, krn: {'48': 0.139}}, {c: 'D', h: 0.683, w: 0.771, ic: 0.0278, krn: {'48': 0.0833}}, {c: 'E', h: 0.683, w: 0.528, ic: 0.0894, krn: {'48': 0.111}}, {c: 'F', h: 0.683, w: 0.719, ic: 0.0993, krn: {'48': 0.111}}, {c: 'G', h: 0.683, d: 0.0972, w: 0.595, ic: 0.0593, krn: {'48': 0.111}}, {c: 'H', h: 0.683, w: 0.845, ic: 0.00965, krn: {'48': 0.111}}, {c: 'I', h: 0.683, w: 0.545, ic: 0.0738, krn: {'48': 0.0278}}, {c: 'J', h: 0.683, d: 0.0972, w: 0.678, ic: 0.185, krn: {'48': 0.167}}, {c: 'K', h: 0.683, w: 0.762, ic: 0.0144, krn: {'48': 0.0556}}, {c: 'L', h: 0.683, w: 0.69, krn: {'48': 0.139}}, {c: 'M', h: 0.683, w: 1.2, krn: {'48': 0.139}}, {c: 'N', h: 0.683, w: 0.82, ic: 0.147, krn: {'48': 0.0833}}, {c: 'O', h: 0.683, w: 0.796, ic: 0.0278, krn: {'48': 0.111}}, // 50 - 5F {c: 'P', h: 0.683, w: 0.696, ic: 0.0822, krn: {'48': 0.0833}}, {c: 'Q', h: 0.683, d: 0.0972, w: 0.817, krn: {'48': 0.111}}, {c: 'R', h: 0.683, w: 0.848, krn: {'48': 0.0833}}, {c: 'S', h: 0.683, w: 0.606, ic: 0.075, krn: {'48': 0.139}}, {c: 'T', h: 0.683, w: 0.545, ic: 0.254, krn: {'48': 0.0278}}, {c: 'U', h: 0.683, w: 0.626, ic: 0.0993, krn: {'48': 0.0833}}, {c: 'V', h: 0.683, w: 0.613, ic: 0.0822, krn: {'48': 0.0278}}, {c: 'W', h: 0.683, w: 0.988, ic: 0.0822, krn: {'48': 0.0833}}, {c: 'X', h: 0.683, w: 0.713, ic: 0.146, krn: {'48': 0.139}}, {c: 'Y', h: 0.683, d: 0.0972, w: 0.668, ic: 0.0822, krn: {'48': 0.0833}}, {c: 'Z', h: 0.683, w: 0.725, ic: 0.0794, krn: {'48': 0.139}}, {c: '[', h: 0.556, w: 0.667}, {c: '\\', h: 0.556, w: 0.667}, {c: ']', h: 0.556, w: 0.667}, {c: '^', h: 0.556, w: 0.667}, {c: '_', h: 0.556, w: 0.667}, // 60 - 6F {c: '`', h: 0.694, w: 0.611}, {c: 'a', h: 0.694, w: 0.611}, {c: 'b', h: 0.75, d: 0.25, w: 0.444}, {c: 'c', h: 0.75, d: 0.25, w: 0.444}, {c: 'd', h: 0.75, d: 0.25, w: 0.444}, {c: 'e', h: 0.75, d: 0.25, w: 0.444}, {c: 'f', h: 0.75, d: 0.25, w: 0.5}, {c: 'g', h: 0.75, d: 0.25, w: 0.5}, {c: 'h', h: 0.75, d: 0.25, w: 0.389}, {c: 'i', h: 0.75, d: 0.25, w: 0.389}, {c: 'j', h: 0.75, d: 0.25, w: 0.278}, {c: 'k', h: 0.75, d: 0.25, w: 0.5}, {c: 'l', h: 0.75, d: 0.25, w: 0.5}, {c: 'm', h: 0.75, d: 0.25, w: 0.611}, {c: 'n', h: 0.75, d: 0.25, w: 0.5}, {c: 'o', h: 0.694, d: 0.194, w: 0.278}, // 70 - 7F {c: 'p', h: 0.04, d: 0.96, w: 0.833}, {c: 'q', h: 0.683, w: 0.75}, {c: 'r', h: 0.683, w: 0.833}, {c: 's', h: 0.694, d: 0.194, w: 0.417, ic: 0.111}, {c: 't', h: 0.556, w: 0.667}, {c: 'u', h: 0.556, w: 0.667}, {c: 'v', h: 0.636, d: 0.136, w: 0.778}, {c: 'w', h: 0.636, d: 0.136, w: 0.778}, {c: 'x', h: 0.694, d: 0.194, w: 0.444}, {c: 'y', h: 0.694, d: 0.194, w: 0.444}, {c: 'z', h: 0.694, d: 0.194, w: 0.444}, {c: '{', h: 0.694, d: 0.194, w: 0.611}, {c: '|', h: 0.694, d: 0.13, w: 0.778}, {c: '}', h: 0.694, d: 0.13, w: 0.778}, {c: '~', h: 0.694, d: 0.13, w: 0.778}, {c: 'Ä', h: 0.694, d: 0.13, w: 0.778} ], cmex10: [ // 00 - 0F {c: '¡', h: 0.04, d: 1.16, w: 0.458, n: 16}, {c: '¢', h: 0.04, d: 1.16, w: 0.458, n: 17}, {c: '£', h: 0.04, d: 1.16, w: 0.417, n: 104}, {c: '¤', h: 0.04, d: 1.16, w: 0.417, n: 105}, {c: '¥', h: 0.04, d: 1.16, w: 0.472, n: 106}, {c: '¦', h: 0.04, d: 1.16, w: 0.472, n: 107}, {c: '§', h: 0.04, d: 1.16, w: 0.472, n: 108}, {c: '¨', h: 0.04, d: 1.16, w: 0.472, n: 109}, {c: '©', h: 0.04, d: 1.16, w: 0.583, n: 110}, {c: 'ª', h: 0.04, d: 1.16, w: 0.583, n: 111}, {c: '', h: 0.04, d: 1.16, w: 0.472, n: 68}, {c: '®', h: 0.04, d: 1.16, w: 0.472, n: 69}, {c: '¯', d: 0.6, w: 0.333, delim: {rep: 12}}, {c: '°', d: 0.6, w: 0.556, delim: {rep: 13}}, {c: '±', h: 0.04, d: 1.16, w: 0.578, n: 46}, {c: '²', h: 0.04, d: 1.16, w: 0.578, n: 47}, // 10 - 1F {c: '³', h: 0.04, d: 1.76, w: 0.597, n: 18}, {c: '´', h: 0.04, d: 1.76, w: 0.597, n: 19}, {c: 'µ', h: 0.04, d: 2.36, w: 0.736, n: 32}, {c: '¶', h: 0.04, d: 2.36, w: 0.736, n: 33}, {c: '∙', h: 0.04, d: 2.36, w: 0.528, n: 34}, {c: '¸', h: 0.04, d: 2.36, w: 0.528, n: 35}, {c: '¹', h: 0.04, d: 2.36, w: 0.583, n: 36}, {c: 'º', h: 0.04, d: 2.36, w: 0.583, n: 37}, {c: '»', h: 0.04, d: 2.36, w: 0.583, n: 38}, {c: '¼', h: 0.04, d: 2.36, w: 0.583, n: 39}, {c: '½', h: 0.04, d: 2.36, w: 0.75, n: 40}, {c: '¾', h: 0.04, d: 2.36, w: 0.75, n: 41}, {c: '¿', h: 0.04, d: 2.36, w: 0.75, n: 42}, {c: 'À', h: 0.04, d: 2.36, w: 0.75, n: 43}, {c: 'Á', h: 0.04, d: 2.36, w: 1.04, n: 44}, {c: 'Â', h: 0.04, d: 2.36, w: 1.04, n: 45}, // 20 - 2F {c: 'Ã', h: 0.04, d: 2.96, w: 0.792, n: 48}, {c: '!', h: 0.04, d: 2.96, w: 0.792, n: 49}, {c: '"', h: 0.04, d: 2.96, w: 0.583, n: 50}, {c: '#', h: 0.04, d: 2.96, w: 0.583, n: 51}, {c: '$', h: 0.04, d: 2.96, w: 0.639, n: 52}, {c: '%', h: 0.04, d: 2.96, w: 0.639, n: 53}, {c: '&', h: 0.04, d: 2.96, w: 0.639, n: 54}, {c: '\'', h: 0.04, d: 2.96, w: 0.639, n: 55}, {c: '(', h: 0.04, d: 2.96, w: 0.806, n: 56}, {c: ')', h: 0.04, d: 2.96, w: 0.806, n: 57}, {c: '*', h: 0.04, d: 2.96, w: 0.806}, {c: '+', h: 0.04, d: 2.96, w: 0.806}, {c: ',', h: 0.04, d: 2.96, w: 1.28}, {c: '-', h: 0.04, d: 2.96, w: 1.28}, {c: '.', h: 0.04, d: 1.76, w: 0.811, n: 30}, {c: '/', h: 0.04, d: 1.76, w: 0.811, n: 31}, // 30 - 3F {c: '0', h: 0.04, d: 1.76, w: 0.875, delim: {top: 48, bot: 64, rep: 66}}, {c: '1', h: 0.04, d: 1.76, w: 0.875, delim: {top: 49, bot: 65, rep: 67}}, {c: '2', h: 0.04, d: 1.76, w: 0.667, delim: {top: 50, bot: 52, rep: 54}}, {c: '3', h: 0.04, d: 1.76, w: 0.667, delim: {top: 51, bot: 53, rep: 55}}, {c: '4', h: 0.04, d: 1.76, w: 0.667, delim: {bot: 52, rep: 54}}, {c: '5', h: 0.04, d: 1.76, w: 0.667, delim: {bot: 53, rep: 55}}, {c: '6', d: 0.6, w: 0.667, delim: {top: 50, rep: 54}}, {c: '7', d: 0.6, w: 0.667, delim: {top: 51, rep: 55}}, {c: '8', d: 0.9, w: 0.889, delim: {top: 56, mid: 60, bot: 58, rep: 62}}, {c: '9', d: 0.9, w: 0.889, delim: {top: 57, mid: 61, bot: 59, rep: 62}}, {c: ':', d: 0.9, w: 0.889, delim: {top: 56, bot: 58, rep: 62}}, {c: ';', d: 0.9, w: 0.889, delim: {top: 57, bot: 59, rep: 62}}, {c: '<', d: 1.8, w: 0.889, delim: {rep: 63}}, {c: '=', d: 1.8, w: 0.889, delim: {rep: 119}}, {c: '>', d: 0.3, w: 0.889, delim: {rep: 62}}, {c: '?', d: 0.6, w: 0.667, delim: {top: 120, bot: 121, rep: 63}}, // 40 - 4F {c: '@', h: 0.04, d: 1.76, w: 0.875, delim: {top: 56, bot: 59, rep: 62}}, {c: 'A', h: 0.04, d: 1.76, w: 0.875, delim: {top: 57, bot: 58, rep: 62}}, {c: 'B', d: 0.6, w: 0.875, delim: {rep: 66}}, {c: 'C', d: 0.6, w: 0.875, delim: {rep: 67}}, {c: 'D', h: 0.04, d: 1.76, w: 0.611, n: 28}, {c: 'E', h: 0.04, d: 1.76, w: 0.611, n: 29}, {c: 'F', d: 1, w: 0.833, n: 71}, {c: 'G', h: 0.1, d: 1.5, w: 1.11}, {c: 'H', d: 1.11, w: 0.472, ic: 0.194, n: 73}, {c: 'I', d: 2.22, w: 0.556, ic: 0.444}, {c: 'J', d: 1, w: 1.11, n: 75}, {c: 'K', h: 0.1, d: 1.5, w: 1.51}, {c: 'L', d: 1, w: 1.11, n: 77}, {c: 'M', h: 0.1, d: 1.5, w: 1.51}, {c: 'N', d: 1, w: 1.11, n: 79}, {c: 'O', h: 0.1, d: 1.5, w: 1.51}, // 50 - 5F {c: 'P', d: 1, w: 1.06, n: 88}, {c: 'Q', d: 1, w: 0.944, n: 89}, {c: 'R', d: 1.11, w: 0.472, ic: 0.194, n: 90}, {c: 'S', d: 1, w: 0.833, n: 91}, {c: 'T', d: 1, w: 0.833, n: 92}, {c: 'U', d: 1, w: 0.833, n: 93}, {c: 'V', d: 1, w: 0.833, n: 94}, {c: 'W', d: 1, w: 0.833, n: 95}, {c: 'X', h: 0.1, d: 1.5, w: 1.44}, {c: 'Y', h: 0.1, d: 1.5, w: 1.28}, {c: 'Z', d: 2.22, w: 0.556, ic: 0.444}, {c: '[', h: 0.1, d: 1.5, w: 1.11}, {c: '\\', h: 0.1, d: 1.5, w: 1.11}, {c: ']', h: 0.1, d: 1.5, w: 1.11}, {c: '^', h: 0.1, d: 1.5, w: 1.11}, {c: '_', h: 0.1, d: 1.5, w: 1.11}, // 60 - 6F {c: '`', d: 1, w: 0.944, n: 97}, {c: 'a', h: 0.1, d: 1.5, w: 1.28}, {c: 'b', h: 0.722, w: 0.556, n: 99}, {c: 'c', h: 0.75, w: 1, n: 100}, {c: 'd', h: 0.75, w: 1.44}, {c: 'e', h: 0.722, w: 0.556, n: 102}, {c: 'f', h: 0.75, w: 1, n: 103}, {c: 'g', h: 0.75, w: 1.44}, {c: 'h', h: 0.04, d: 1.76, w: 0.472, n: 20}, {c: 'i', h: 0.04, d: 1.76, w: 0.472, n: 21}, {c: 'j', h: 0.04, d: 1.76, w: 0.528, n: 22}, {c: 'k', h: 0.04, d: 1.76, w: 0.528, n: 23}, {c: 'l', h: 0.04, d: 1.76, w: 0.528, n: 24}, {c: 'm', h: 0.04, d: 1.76, w: 0.528, n: 25}, {c: 'n', h: 0.04, d: 1.76, w: 0.667, n: 26}, {c: 'o', h: 0.04, d: 1.76, w: 0.667, n: 27}, // 70 - 7F {c: 'p', h: 0.04, d: 1.16, w: 1, n: 113}, {c: 'q', h: 0.04, d: 1.76, w: 1, n: 114}, {c: 'r', h: 0.04, d: 2.36, w: 1, n: 115}, {c: 's', h: 0.04, d: 2.96, w: 1, n: 116}, {c: 't', d: 1.8, w: 1.06, delim: {top: 118, bot: 116, rep: 117}}, {c: 'u', d: 0.6, w: 1.06}, {c: 'v', h: 0.04, d: 0.56, w: 1.06}, {c: 'w', d: 0.6, w: 0.778, delim: {top: 126, bot: 127, rep: 119}}, {c: 'x', d: 0.6, w: 0.667, delim: {top: 120, rep: 63}}, {c: 'y', d: 0.6, w: 0.667, delim: {bot: 121, rep: 63}}, {c: 'z', h: 0.12, w: 0.45}, {c: '{', h: 0.12, w: 0.45}, {c: '|', h: 0.12, w: 0.45}, {c: '}', h: 0.12, w: 0.45}, {c: '~', d: 0.6, w: 0.778, delim: {top: 126, rep: 119}}, {c: 'Ä', d: 0.6, w: 0.778, delim: {bot: 127, rep: 119}} ], cmti10: [ // 00 - 0F {c: '¡', h: 0.683, w: 0.627, ic: 0.133}, {c: '¢', h: 0.683, w: 0.818}, {c: '£', h: 0.683, w: 0.767, ic: 0.094}, {c: '¤', h: 0.683, w: 0.692}, {c: '¥', h: 0.683, w: 0.664, ic: 0.153}, {c: '¦', h: 0.683, w: 0.743, ic: 0.164}, {c: '§', h: 0.683, w: 0.716, ic: 0.12}, {c: '¨', h: 0.683, w: 0.767, ic: 0.111}, {c: '©', h: 0.683, w: 0.716, ic: 0.0599}, {c: 'ª', h: 0.683, w: 0.767, ic: 0.111}, {c: '', h: 0.683, w: 0.716, ic: 0.103}, {c: '®', h: 0.694, d: 0.194, w: 0.613, ic: 0.212, krn: {'39': 0.104, '63': 0.104, '33': 0.104, '41': 0.104, '93': 0.104}, lig: {'105': 14, '108': 15}}, {c: '¯', h: 0.694, d: 0.194, w: 0.562, ic: 0.103}, {c: '°', h: 0.694, d: 0.194, w: 0.588, ic: 0.103}, {c: '±', h: 0.694, d: 0.194, w: 0.882, ic: 0.103}, {c: '²', h: 0.694, d: 0.194, w: 0.894, ic: 0.103}, // 10 - 1F {c: '³', h: 0.431, w: 0.307, ic: 0.0767}, {c: '´', h: 0.431, d: 0.194, w: 0.332, ic: 0.0374}, {c: 'µ', h: 0.694, w: 0.511}, {c: '¶', h: 0.694, w: 0.511, ic: 0.0969}, {c: '∙', h: 0.628, w: 0.511, ic: 0.083}, {c: '¸', h: 0.694, w: 0.511, ic: 0.108}, {c: '¹', h: 0.562, w: 0.511, ic: 0.103}, {c: 'º', h: 0.694, w: 0.831}, {c: '»', d: 0.17, w: 0.46}, {c: '¼', h: 0.694, d: 0.194, w: 0.537, ic: 0.105}, {c: '½', h: 0.431, w: 0.716, ic: 0.0751}, {c: '¾', h: 0.431, w: 0.716, ic: 0.0751}, {c: '¿', h: 0.528, d: 0.0972, w: 0.511, ic: 0.0919}, {c: 'À', h: 0.683, w: 0.883, ic: 0.12}, {c: 'Á', h: 0.683, w: 0.985, ic: 0.12}, {c: 'Â', h: 0.732, d: 0.0486, w: 0.767, ic: 0.094}, // 20 - 2F {c: 'Ã', h: 0.431, w: 0.256, krn: {'108': -0.256, '76': -0.321}}, {c: '!', h: 0.694, w: 0.307, ic: 0.124, lig: {'96': 60}}, {c: '"', h: 0.694, w: 0.514, ic: 0.0696}, {c: '#', h: 0.694, d: 0.194, w: 0.818, ic: 0.0662}, {c: '$', h: 0.694, w: 0.769}, {c: '%', h: 0.75, d: 0.0556, w: 0.818, ic: 0.136}, {c: '&', h: 0.694, w: 0.767, ic: 0.0969}, {c: '\'', h: 0.694, w: 0.307, ic: 0.124, krn: {'63': 0.102, '33': 0.102}, lig: {'39': 34}}, {c: '(', h: 0.75, d: 0.25, w: 0.409, ic: 0.162}, {c: ')', h: 0.75, d: 0.25, w: 0.409, ic: 0.0369}, {c: '*', h: 0.75, w: 0.511, ic: 0.149}, {c: '+', h: 0.562, d: 0.0567, w: 0.767, ic: 0.0369}, {c: ',', h: 0.106, d: 0.194, w: 0.307}, {c: '-', h: 0.431, w: 0.358, ic: 0.0283, lig: {'45': 123}}, {c: '.', h: 0.106, w: 0.307}, {c: '/', h: 0.75, d: 0.25, w: 0.511, ic: 0.162}, // 30 - 3F {c: '0', h: 0.644, w: 0.511, ic: 0.136}, {c: '1', h: 0.644, w: 0.511, ic: 0.136}, {c: '2', h: 0.644, w: 0.511, ic: 0.136}, {c: '3', h: 0.644, w: 0.511, ic: 0.136}, {c: '4', h: 0.644, d: 0.194, w: 0.511, ic: 0.136}, {c: '5', h: 0.644, w: 0.511, ic: 0.136}, {c: '6', h: 0.644, w: 0.511, ic: 0.136}, {c: '7', h: 0.644, d: 0.194, w: 0.511, ic: 0.136}, {c: '8', h: 0.644, w: 0.511, ic: 0.136}, {c: '9', h: 0.644, w: 0.511, ic: 0.136}, {c: ':', h: 0.431, w: 0.307, ic: 0.0582}, {c: ';', h: 0.431, d: 0.194, w: 0.307, ic: 0.0582}, {c: '<', h: 0.5, d: 0.194, w: 0.307, ic: 0.0756}, {c: '=', h: 0.367, d: -0.133, w: 0.767, ic: 0.0662}, {c: '>', h: 0.5, d: 0.194, w: 0.511}, {c: '?', h: 0.694, w: 0.511, ic: 0.122, lig: {'96': 62}}, // 40 - 4F {c: '@', h: 0.694, w: 0.767, ic: 0.096}, {c: 'A', h: 0.683, w: 0.743, krn: {'110': -0.0256, '108': -0.0256, '114': -0.0256, '117': -0.0256, '109': -0.0256, '116': -0.0256, '105': -0.0256, '67': -0.0256, '79': -0.0256, '71': -0.0256, '104': -0.0256, '98': -0.0256, '85': -0.0256, '107': -0.0256, '118': -0.0256, '119': -0.0256, '81': -0.0256, '84': -0.0767, '89': -0.0767, '86': -0.102, '87': -0.102, '101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}, {c: 'B', h: 0.683, w: 0.704, ic: 0.103}, {c: 'C', h: 0.683, w: 0.716, ic: 0.145}, {c: 'D', h: 0.683, w: 0.755, ic: 0.094, krn: {'88': -0.0256, '87': -0.0256, '65': -0.0256, '86': -0.0256, '89': -0.0256}}, {c: 'E', h: 0.683, w: 0.678, ic: 0.12}, {c: 'F', h: 0.683, w: 0.653, ic: 0.133, krn: {'111': -0.0767, '101': -0.0767, '117': -0.0767, '114': -0.0767, '97': -0.0767, '65': -0.102, '79': -0.0256, '67': -0.0256, '71': -0.0256, '81': -0.0256}}, {c: 'G', h: 0.683, w: 0.774, ic: 0.0872}, {c: 'H', h: 0.683, w: 0.743, ic: 0.164}, {c: 'I', h: 0.683, w: 0.386, ic: 0.158}, {c: 'J', h: 0.683, w: 0.525, ic: 0.14}, {c: 'K', h: 0.683, w: 0.769, ic: 0.145, krn: {'79': -0.0256, '67': -0.0256, '71': -0.0256, '81': -0.0256}}, {c: 'L', h: 0.683, w: 0.627, krn: {'84': -0.0767, '89': -0.0767, '86': -0.102, '87': -0.102, '101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}, {c: 'M', h: 0.683, w: 0.897, ic: 0.164}, {c: 'N', h: 0.683, w: 0.743, ic: 0.164}, {c: 'O', h: 0.683, w: 0.767, ic: 0.094, krn: {'88': -0.0256, '87': -0.0256, '65': -0.0256, '86': -0.0256, '89': -0.0256}}, // 50 - 5F {c: 'P', h: 0.683, w: 0.678, ic: 0.103, krn: {'65': -0.0767}}, {c: 'Q', h: 0.683, d: 0.194, w: 0.767, ic: 0.094}, {c: 'R', h: 0.683, w: 0.729, ic: 0.0387, krn: {'110': -0.0256, '108': -0.0256, '114': -0.0256, '117': -0.0256, '109': -0.0256, '116': -0.0256, '105': -0.0256, '67': -0.0256, '79': -0.0256, '71': -0.0256, '104': -0.0256, '98': -0.0256, '85': -0.0256, '107': -0.0256, '118': -0.0256, '119': -0.0256, '81': -0.0256, '84': -0.0767, '89': -0.0767, '86': -0.102, '87': -0.102, '101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}, {c: 'S', h: 0.683, w: 0.562, ic: 0.12}, {c: 'T', h: 0.683, w: 0.716, ic: 0.133, krn: {'121': -0.0767, '101': -0.0767, '111': -0.0767, '114': -0.0767, '97': -0.0767, '117': -0.0767, '65': -0.0767}}, {c: 'U', h: 0.683, w: 0.743, ic: 0.164}, {c: 'V', h: 0.683, w: 0.743, ic: 0.184, krn: {'111': -0.0767, '101': -0.0767, '117': -0.0767, '114': -0.0767, '97': -0.0767, '65': -0.102, '79': -0.0256, '67': -0.0256, '71': -0.0256, '81': -0.0256}}, {c: 'W', h: 0.683, w: 0.999, ic: 0.184, krn: {'65': -0.0767}}, {c: 'X', h: 0.683, w: 0.743, ic: 0.158, krn: {'79': -0.0256, '67': -0.0256, '71': -0.0256, '81': -0.0256}}, {c: 'Y', h: 0.683, w: 0.743, ic: 0.194, krn: {'101': -0.0767, '111': -0.0767, '114': -0.0767, '97': -0.0767, '117': -0.0767, '65': -0.0767}}, {c: 'Z', h: 0.683, w: 0.613, ic: 0.145}, {c: '[', h: 0.75, d: 0.25, w: 0.307, ic: 0.188}, {c: '\\', h: 0.694, w: 0.514, ic: 0.169}, {c: ']', h: 0.75, d: 0.25, w: 0.307, ic: 0.105}, {c: '^', h: 0.694, w: 0.511, ic: 0.0665}, {c: '_', h: 0.668, w: 0.307, ic: 0.118}, // 60 - 6F {c: '`', h: 0.694, w: 0.307, ic: 0.124, lig: {'96': 92}}, {c: 'a', h: 0.431, w: 0.511, ic: 0.0767}, {c: 'b', h: 0.694, w: 0.46, ic: 0.0631, krn: {'101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}, {c: 'c', h: 0.431, w: 0.46, ic: 0.0565, krn: {'101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}, {c: 'd', h: 0.694, w: 0.511, ic: 0.103, krn: {'108': 0.0511}}, {c: 'e', h: 0.431, w: 0.46, ic: 0.0751, krn: {'101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}, {c: 'f', h: 0.694, d: 0.194, w: 0.307, ic: 0.212, krn: {'39': 0.104, '63': 0.104, '33': 0.104, '41': 0.104, '93': 0.104}, lig: {'105': 12, '102': 11, '108': 13}}, {c: 'g', h: 0.431, d: 0.194, w: 0.46, ic: 0.0885}, {c: 'h', h: 0.694, w: 0.511, ic: 0.0767}, {c: 'i', h: 0.655, w: 0.307, ic: 0.102}, {c: 'j', h: 0.655, d: 0.194, w: 0.307, ic: 0.145}, {c: 'k', h: 0.694, w: 0.46, ic: 0.108}, {c: 'l', h: 0.694, w: 0.256, ic: 0.103, krn: {'108': 0.0511}}, {c: 'm', h: 0.431, w: 0.818, ic: 0.0767}, {c: 'n', h: 0.431, w: 0.562, ic: 0.0767, krn: {'39': -0.102}}, {c: 'o', h: 0.431, w: 0.511, ic: 0.0631, krn: {'101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}, // 70 - 7F {c: 'p', h: 0.431, d: 0.194, w: 0.511, ic: 0.0631, krn: {'101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}, {c: 'q', h: 0.431, d: 0.194, w: 0.46, ic: 0.0885}, {c: 'r', h: 0.431, w: 0.422, ic: 0.108, krn: {'101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}, {c: 's', h: 0.431, w: 0.409, ic: 0.0821}, {c: 't', h: 0.615, w: 0.332, ic: 0.0949}, {c: 'u', h: 0.431, w: 0.537, ic: 0.0767}, {c: 'v', h: 0.431, w: 0.46, ic: 0.108}, {c: 'w', h: 0.431, w: 0.664, ic: 0.108, krn: {'108': 0.0511}}, {c: 'x', h: 0.431, w: 0.464, ic: 0.12}, {c: 'y', h: 0.431, d: 0.194, w: 0.486, ic: 0.0885}, {c: 'z', h: 0.431, w: 0.409, ic: 0.123}, {c: '{', h: 0.431, w: 0.511, ic: 0.0921, lig: {'45': 124}}, {c: '|', h: 0.431, w: 1.02, ic: 0.0921}, {c: '}', h: 0.694, w: 0.511, ic: 0.122}, {c: '~', h: 0.668, w: 0.511, ic: 0.116}, {c: 'Ä', h: 0.668, w: 0.511, ic: 0.105} ], cmbx10: [ // 00 - 0F {c: '¡', h: 0.686, w: 0.692}, {c: '¢', h: 0.686, w: 0.958}, {c: '£', h: 0.686, w: 0.894}, {c: '¤', h: 0.686, w: 0.806}, {c: '¥', h: 0.686, w: 0.767}, {c: '¦', h: 0.686, w: 0.9}, {c: '§', h: 0.686, w: 0.831}, {c: '¨', h: 0.686, w: 0.894}, {c: '©', h: 0.686, w: 0.831}, {c: 'ª', h: 0.686, w: 0.894}, {c: '', h: 0.686, w: 0.831}, {c: '®', h: 0.694, w: 0.671, ic: 0.109, krn: {'39': 0.109, '63': 0.109, '33': 0.109, '41': 0.109, '93': 0.109}, lig: {'105': 14, '108': 15}}, {c: '¯', h: 0.694, w: 0.639}, {c: '°', h: 0.694, w: 0.639}, {c: '±', h: 0.694, w: 0.958}, {c: '²', h: 0.694, w: 0.958}, // 10 - 1F {c: '³', h: 0.444, w: 0.319}, {c: '´', h: 0.444, d: 0.194, w: 0.351}, {c: 'µ', h: 0.694, w: 0.575}, {c: '¶', h: 0.694, w: 0.575}, {c: '∙', h: 0.632, w: 0.575}, {c: '¸', h: 0.694, w: 0.575}, {c: '¹', h: 0.596, w: 0.575}, {c: 'º', h: 0.694, w: 0.869}, {c: '»', d: 0.17, w: 0.511}, {c: '¼', h: 0.694, w: 0.597}, {c: '½', h: 0.444, w: 0.831}, {c: '¾', h: 0.444, w: 0.894}, {c: '¿', h: 0.542, d: 0.0972, w: 0.575}, {c: 'À', h: 0.686, w: 1.04}, {c: 'Á', h: 0.686, w: 1.17}, {c: 'Â', h: 0.735, d: 0.0486, w: 0.894}, // 20 - 2F {c: 'Ã', h: 0.444, w: 0.319, krn: {'108': -0.319, '76': -0.378}}, {c: '!', h: 0.694, w: 0.35, lig: {'96': 60}}, {c: '"', h: 0.694, w: 0.603}, {c: '#', h: 0.694, d: 0.194, w: 0.958}, {c: '$', h: 0.75, d: 0.0556, w: 0.575}, {c: '%', h: 0.75, d: 0.0556, w: 0.958}, {c: '&', h: 0.694, w: 0.894}, {c: '\'', h: 0.694, w: 0.319, krn: {'63': 0.128, '33': 0.128}, lig: {'39': 34}}, {c: '(', h: 0.75, d: 0.25, w: 0.447}, {c: ')', h: 0.75, d: 0.25, w: 0.447}, {c: '*', h: 0.75, w: 0.575}, {c: '+', h: 0.633, d: 0.133, w: 0.894}, {c: ',', h: 0.156, d: 0.194, w: 0.319}, {c: '-', h: 0.444, w: 0.383, lig: {'45': 123}}, {c: '.', h: 0.156, w: 0.319}, {c: '/', h: 0.75, d: 0.25, w: 0.575}, // 30 - 3F {c: '0', h: 0.644, w: 0.575}, {c: '1', h: 0.644, w: 0.575}, {c: '2', h: 0.644, w: 0.575}, {c: '3', h: 0.644, w: 0.575}, {c: '4', h: 0.644, w: 0.575}, {c: '5', h: 0.644, w: 0.575}, {c: '6', h: 0.644, w: 0.575}, {c: '7', h: 0.644, w: 0.575}, {c: '8', h: 0.644, w: 0.575}, {c: '9', h: 0.644, w: 0.575}, {c: ':', h: 0.444, w: 0.319}, {c: ';', h: 0.444, d: 0.194, w: 0.319}, {c: '<', h: 0.5, d: 0.194, w: 0.35}, {c: '=', h: 0.391, d: -0.109, w: 0.894}, {c: '>', h: 0.5, d: 0.194, w: 0.543}, {c: '?', h: 0.694, w: 0.543, lig: {'96': 62}}, // 40 - 4F {c: '@', h: 0.694, w: 0.894}, {c: 'A', h: 0.686, w: 0.869, krn: {'116': -0.0319, '67': -0.0319, '79': -0.0319, '71': -0.0319, '85': -0.0319, '81': -0.0319, '84': -0.0958, '89': -0.0958, '86': -0.128, '87': -0.128}}, {c: 'B', h: 0.686, w: 0.818}, {c: 'C', h: 0.686, w: 0.831}, {c: 'D', h: 0.686, w: 0.882, krn: {'88': -0.0319, '87': -0.0319, '65': -0.0319, '86': -0.0319, '89': -0.0319}}, {c: 'E', h: 0.686, w: 0.756}, {c: 'F', h: 0.686, w: 0.724, krn: {'111': -0.0958, '101': -0.0958, '117': -0.0958, '114': -0.0958, '97': -0.0958, '65': -0.128, '79': -0.0319, '67': -0.0319, '71': -0.0319, '81': -0.0319}}, {c: 'G', h: 0.686, w: 0.904}, {c: 'H', h: 0.686, w: 0.9}, {c: 'I', h: 0.686, w: 0.436, krn: {'73': 0.0319}}, {c: 'J', h: 0.686, w: 0.594}, {c: 'K', h: 0.686, w: 0.901, krn: {'79': -0.0319, '67': -0.0319, '71': -0.0319, '81': -0.0319}}, {c: 'L', h: 0.686, w: 0.692, krn: {'84': -0.0958, '89': -0.0958, '86': -0.128, '87': -0.128}}, {c: 'M', h: 0.686, w: 1.09}, {c: 'N', h: 0.686, w: 0.9}, {c: 'O', h: 0.686, w: 0.864, krn: {'88': -0.0319, '87': -0.0319, '65': -0.0319, '86': -0.0319, '89': -0.0319}}, // 50 - 5F {c: 'P', h: 0.686, w: 0.786, krn: {'65': -0.0958, '111': -0.0319, '101': -0.0319, '97': -0.0319, '46': -0.0958, '44': -0.0958}}, {c: 'Q', h: 0.686, d: 0.194, w: 0.864}, {c: 'R', h: 0.686, w: 0.862, krn: {'116': -0.0319, '67': -0.0319, '79': -0.0319, '71': -0.0319, '85': -0.0319, '81': -0.0319, '84': -0.0958, '89': -0.0958, '86': -0.128, '87': -0.128}}, {c: 'S', h: 0.686, w: 0.639}, {c: 'T', h: 0.686, w: 0.8, krn: {'121': -0.0319, '101': -0.0958, '111': -0.0958, '114': -0.0958, '97': -0.0958, '65': -0.0958, '117': -0.0958}}, {c: 'U', h: 0.686, w: 0.885}, {c: 'V', h: 0.686, w: 0.869, ic: 0.016, krn: {'111': -0.0958, '101': -0.0958, '117': -0.0958, '114': -0.0958, '97': -0.0958, '65': -0.128, '79': -0.0319, '67': -0.0319, '71': -0.0319, '81': -0.0319}}, {c: 'W', h: 0.686, w: 1.19, ic: 0.016, krn: {'111': -0.0958, '101': -0.0958, '117': -0.0958, '114': -0.0958, '97': -0.0958, '65': -0.128, '79': -0.0319, '67': -0.0319, '71': -0.0319, '81': -0.0319}}, {c: 'X', h: 0.686, w: 0.869, krn: {'79': -0.0319, '67': -0.0319, '71': -0.0319, '81': -0.0319}}, {c: 'Y', h: 0.686, w: 0.869, ic: 0.0287, krn: {'101': -0.0958, '111': -0.0958, '114': -0.0958, '97': -0.0958, '65': -0.0958, '117': -0.0958}}, {c: 'Z', h: 0.686, w: 0.703}, {c: '[', h: 0.75, d: 0.25, w: 0.319}, {c: '\\', h: 0.694, w: 0.603}, {c: ']', h: 0.75, d: 0.25, w: 0.319}, {c: '^', h: 0.694, w: 0.575}, {c: '_', h: 0.694, w: 0.319}, // 60 - 6F {c: '`', h: 0.694, w: 0.319, lig: {'96': 92}}, {c: 'a', h: 0.444, w: 0.559, krn: {'118': -0.0319, '106': 0.0639, '121': -0.0319, '119': -0.0319}}, {c: 'b', h: 0.694, w: 0.639, krn: {'101': 0.0319, '111': 0.0319, '120': -0.0319, '100': 0.0319, '99': 0.0319, '113': 0.0319, '118': -0.0319, '106': 0.0639, '121': -0.0319, '119': -0.0319}}, {c: 'c', h: 0.444, w: 0.511, krn: {'104': -0.0319, '107': -0.0319}}, {c: 'd', h: 0.694, w: 0.639}, {c: 'e', h: 0.444, w: 0.527}, {c: 'f', h: 0.694, w: 0.351, ic: 0.109, krn: {'39': 0.109, '63': 0.109, '33': 0.109, '41': 0.109, '93': 0.109}, lig: {'105': 12, '102': 11, '108': 13}}, {c: 'g', h: 0.444, d: 0.194, w: 0.575, ic: 0.016, krn: {'106': 0.0319}}, {c: 'h', h: 0.694, w: 0.639, krn: {'116': -0.0319, '117': -0.0319, '98': -0.0319, '121': -0.0319, '118': -0.0319, '119': -0.0319}}, {c: 'i', h: 0.694, w: 0.319}, {c: 'j', h: 0.694, d: 0.194, w: 0.351}, {c: 'k', h: 0.694, w: 0.607, krn: {'97': -0.0639, '101': -0.0319, '97': -0.0319, '111': -0.0319, '99': -0.0319}}, {c: 'l', h: 0.694, w: 0.319}, {c: 'm', h: 0.444, w: 0.958, krn: {'116': -0.0319, '117': -0.0319, '98': -0.0319, '121': -0.0319, '118': -0.0319, '119': -0.0319}}, {c: 'n', h: 0.444, w: 0.639, krn: {'116': -0.0319, '117': -0.0319, '98': -0.0319, '121': -0.0319, '118': -0.0319, '119': -0.0319}}, {c: 'o', h: 0.444, w: 0.575, krn: {'101': 0.0319, '111': 0.0319, '120': -0.0319, '100': 0.0319, '99': 0.0319, '113': 0.0319, '118': -0.0319, '106': 0.0639, '121': -0.0319, '119': -0.0319}}, // 70 - 7F {c: 'p', h: 0.444, d: 0.194, w: 0.639, krn: {'101': 0.0319, '111': 0.0319, '120': -0.0319, '100': 0.0319, '99': 0.0319, '113': 0.0319, '118': -0.0319, '106': 0.0639, '121': -0.0319, '119': -0.0319}}, {c: 'q', h: 0.444, d: 0.194, w: 0.607}, {c: 'r', h: 0.444, w: 0.474}, {c: 's', h: 0.444, w: 0.454}, {c: 't', h: 0.635, w: 0.447, krn: {'121': -0.0319, '119': -0.0319}}, {c: 'u', h: 0.444, w: 0.639, krn: {'119': -0.0319}}, {c: 'v', h: 0.444, w: 0.607, ic: 0.016, krn: {'97': -0.0639, '101': -0.0319, '97': -0.0319, '111': -0.0319, '99': -0.0319}}, {c: 'w', h: 0.444, w: 0.831, ic: 0.016, krn: {'101': -0.0319, '97': -0.0319, '111': -0.0319, '99': -0.0319}}, {c: 'x', h: 0.444, w: 0.607}, {c: 'y', h: 0.444, d: 0.194, w: 0.607, ic: 0.016, krn: {'111': -0.0319, '101': -0.0319, '97': -0.0319, '46': -0.0958, '44': -0.0958}}, {c: 'z', h: 0.444, w: 0.511}, {c: '{', h: 0.444, w: 0.575, ic: 0.0319, lig: {'45': 124}}, {c: '|', h: 0.444, w: 1.15, ic: 0.0319}, {c: '}', h: 0.694, w: 0.575}, {c: '~', h: 0.694, w: 0.575}, {c: 'Ä', h: 0.694, w: 0.575} ] }); /***************************************************************************/ /* * jsMath.HTML handles creation of most of the HTML needed for * presenting mathematics in HTML pages. */ jsMath.HTML = { /* * produce a string version of a measurement in ems, * showing only a limited number of digits, and * using 0 when the value is near zero. */ Em: function (m) { var n = 5; if (m < 0) {n++} if (Math.abs(m) < .000001) {m = 0} var s = String(m); s = s.replace(/(\.\d\d\d).+/,'$1'); return s+'em' }, /* * Create a horizontal space of width w */ Spacer: function (w) { if (w == 0) {return ''}; return jsMath.msieSpaceFix + '<SPAN STYLE="margin-left: '+this.Em(w)+'"></SPAN>'; }, /* * Use an image to create a horizontal space of width w */ SpacerImage: function (w) { if (w == 0) {return ''}; return '<IMG SRC="'+jsMath.blank+'" STYLE="' + ' width: 0; margin-left: '+this.Em(w)+'">'; }, /* * Create a colored frame (for debugging use) */ Frame: function (x,y,w,h,c,pos) { h -= 2/jsMath.em; // use 2 pixels to compensate for border size w -= 2/jsMath.em; y -= 1/jsMath.em; if (!c) {c = 'black'}; if (pos) {pos = 'absolute;'} else {pos = 'relative; margin-right: '+this.Em(-(w+2/jsMath.em))+'; '} return '<IMG SRC="'+jsMath.blank+'" STYLE="position:' + pos + 'vertical-align: '+this.Em(y)+'; left: '+this.Em(x)+'; ' + 'width:'+this.Em(w)+'; height: '+this.Em(h)+'; ' + 'border-color: '+c+'; border-style: solid; border-width: 1px;">'; }, /* * Create a 1-pixel-high horizontal line at a particular * position, width and color. */ Line: function (x,y,w,c,pos) { if (!c) {c = 'black'}; if (pos) {pos = 'absolute;'} else {pos = 'relative; margin-right: '+this.Em(-w)+'; '} return '<IMG SRC="'+jsMath.blank+'" STYLE="position:'+pos + 'top: '+this.Em(-y)+'; left:'+this.Em(x)+'; ' + 'width:'+this.Em(w)+'; height:1px; background-color: '+c+';">'; }, /* * Create a black rule line for fractions, etc. * Height is converted to pixels (with a minimum of 1), so that * the line will not disappear at small font sizes. This means that * the thickness will not change if you change the font size, or * may not be correct within a header or other enlarged text. */ Rule: function (w,h) { if (h == null) {h = jsMath.TeX.default_rule_thickness} if (w == 0 || h == 0) return; // should make an invisible box? h = Math.round(h*jsMath.em); if (h < 1) {h = 1} return '<IMG SRC="'+jsMath.black+'" HSPACE="0" VSPACE="0" ' + 'STYLE="width:'+this.Em(w)+'; height: '+h+'px">'; }, /* * Create a colored block of a specific size (won't always print * correctly). */ Block: function (w,h,c) { if (c == null) {c = 'black'} return '<IMG SRC="'+jsMath.blank+'" HSPACE="0" VSPACE="0" ' + 'STYLE="width:'+this.Em(w)+'; height: '+this.Em(h)+'; ' + 'background-color: '+c+'">'; }, /* * Add a <SPAN> tag to activate a specific CSS class */ Class: function (tclass,html) { return '<SPAN CLASS="'+tclass+'">'+html+'</SPAN>'; }, /* * Use a <SPAN> to place some HTML at a specific position. * (This can be replaced by the ones below to overcome * some browser-specific bugs.) */ Place: function (html,x,y) { if (Math.abs(x) < .0001) {x = 0} if (Math.abs(y) < .0001) {y = 0} if (x || y) { var span = '<SPAN STYLE="position: relative;'; if (x) {span += ' margin-left:'+this.Em(x)+';'} if (y) {span += ' top:'+this.Em(-y)+';'} html = span + '">' + html + '</SPAN>'; } return html; }, /* * For MSIE on Windows, backspacing must be done in a separate * <SPAN>, otherwise the contents will be clipped. */ PlaceSeparateNegative: function (html,x,y) { if (Math.abs(x) < .0001) {x = 0} if (Math.abs(y) < .0001) {y = 0} if (x > 0 || y) { var span = '<SPAN STYLE="position: relative;'; if (x > 0) {span += ' margin-left:'+this.Em(x)+';'} if (y) {span += ' top:'+this.Em(-y)+';'} html = span + '">' + html + '</SPAN>'; } if (x < 0) { html = jsMath.msieSpaceFix + '<SPAN STYLE="margin-left:'+this.Em(x)+';"></SPAN>' + html; } return html; }, /* * Here the x and y positioning is done in separate <SPAN> tags */ PlaceSeparateSkips: function (html,x,y) { if (Math.abs(x) < .0001) {x = 0} if (Math.abs(y) < .0001) {y = 0} if (y) {html = '<SPAN STYLE="position: relative; top:'+this.Em(-y)+';' + '">' + html + '</SPAN>'} if (x) {html = jsMath.msieSpaceFix + '<SPAN STYLE="margin-left:'+this.Em(x)+';"></SPAN>' + html} return html; }, /* * Place a SPAN with absolute coordinates */ PlaceAbsolute: function (html,x,y) { if (Math.abs(x) < .0001) {x = 0} if (Math.abs(y) < .0001) {y = 0} html = '<SPAN STYLE="position: absolute; left:'+this.Em(x)+'; ' + 'top:'+this.Em(y)+';">' + html + ' </SPAN>'; // space normalizes line height return html; }, Absolute: function(html,w,h,d,y,H) { var align = ""; if (d) {align = ' vertical-align: '+jsMath.HTML.Em(-d)+';'} if (y != "none") { if (Math.abs(y) < .0001) {y = 0} html = '<SPAN STYLE="position: absolute; ' + 'top:'+jsMath.HTML.Em(y)+'; left: 0em;">' + html + ' ' // space normalizes line height in script styles + '</SPAN>'; } html += '<IMG SRC="'+jsMath.blank+'" STYLE="width: '+jsMath.HTML.Em(w)+'; ' + 'height: '+jsMath.HTML.Em(h)+';'+align+'">'; if (jsMath.msieAbsoluteBug) {// for MSIE (Mac) html = '<SPAN STYLE="position: relative;">' + html + '</SPAN>'; } html = '<SPAN STYLE="position: relative;' + ' width: '+jsMath.HTML.Em(w)+';' // for MSIE + ' height: '+jsMath.HTML.Em(H)+';' // for MSIE + '">' + html + '</SPAN>'; return html; } }; /***************************************************************************/ /* * jsMath.Box handles TeX's math boxes and jsMath's equivalent of hboxes. */ jsMath.Box = function (format,text,w,h,d) { if (d == null) {d = jsMath.d} this.type = 'typeset'; this.w = w; this.h = h; this.d = d; this.bh = h; this.bd = d; this.x = 0; this.y = 0; this.html = text; this.format = format; }; jsMath.Add(jsMath.Box,{ /* * An empty box */ Null: new jsMath.Box('null','',0,0,0), /* * A box containing only text whose class and style haven't been added * yet (so that we can combine ones with the same styles). It gets * the text dimensions, if needed. (In general, this has been * replaced by TeX() below, but is still used in fallback mode.) */ Text: function (text,tclass,style,size,a,d) { var html = jsMath.Typeset.AddClass(tclass,text); html = jsMath.Typeset.AddStyle(style,size,html); var BB = jsMath.EmBoxFor(html); var TeX = jsMath.Typeset.TeX(style,size); var bd = ((tclass == 'cmsy10' || tclass == 'cmex10')? BB.h-TeX.h: TeX.d*BB.h/TeX.hd); var box = new jsMath.Box('text',text,BB.w,BB.h-bd,bd); box.style = style; box.size = size; box.tclass = tclass; if (d != null) {if (d != 1) {box.d = d}} else {box.d = 0} if (a == null || a == 1) {box.h = .9*TeX.M_height} else {box.h = 1.1*TeX.x_height + 1*a}; // sometimes a is a string? return box; }, /* * Produce a box containing a given TeX character from a given font. * The box is a text box (like the ones above), so that characters from * the same font can be combined. */ TeX: function (c,font,style,size) { c = jsMath.TeX[font][c]; if (c.d == null) {c.d = 0}; if (c.h == null) {c.h = 0} var scale = jsMath.Typeset.TeX(style,size).scale; var h = c.h + jsMath.TeX[font].dh var box = new jsMath.Box('text',c.c,c.w*scale,h*scale,c.d*scale); box.style = style; box.size = size; if (c.tclass) { box.tclass = c.tclass; box.bh = scale*jsMath.h; box.bd = scale*jsMath.d; } else { box.tclass = font; box.bh = scale*jsMath.TeX[font].h; box.bd = scale*jsMath.TeX[font].d; if (jsMath.msieFontBug) { // hack to avoid Font changing back to the default // font when a unicode reference is not followed // by a letter or number box.html += '<SPAN STYLE="display: none">x</SPAN>' } } return box; }, /* * A box containing a spacer of a specific width */ Space: function (w) { return new jsMath.Box('html',jsMath.HTML.Spacer(w),w,0,0); }, /* * A box containing a horizontal rule */ Rule: function (w,h) { if (h == null) {h = jsMath.TeX.default_rule_thickness} html = jsMath.HTML.Rule(w,h); return new jsMath.Box('html',html,w,h,0); }, /* * A box containing a colored block */ Block: function (w,h,c) { return new jsMath.Box('html',jsMath.HTML.Block(w,h,c),w,h,0); }, /* * Get a character from a TeX font, and make sure that it has * its metrics specified. */ GetChar: function (code,font) { var c = jsMath.TeX[font][code]; if (c.tclass == null) {c.tclass = font} if (!c.computedW) { c.w = jsMath.EmBoxFor(jsMath.Typeset.AddClass(c.tclass,c.c)).w; if (c.h == null) {c.h = jsMath.defaultH}; if (c.d == null) {c.d = 0} c.computedW = 1; } return c; }, /* * Locate the TeX delimiter character that matches a given height. * Return the character, font, style and actual height used. */ DelimBestFit: function (H,c,font,style) { if (c == 0 && font == 0) return; var C; var h; font = jsMath.TeX.fam[font]; var isSS = (style.charAt(1) == 'S'); var isS = (style.charAt(0) == 'S'); while (c != null) { C = jsMath.TeX[font][c]; if (C.h == null) {C.h = jsMath.defaultH}; if (C.d == null) {C.d = 0} h = C.h+C.d; if (C.delim) {return [c,font,'',H]} if (isSS && .5*h >= H) {return [c,font,'SS',.5*h]} if (isS && .7*h >= H) {return [c,font,'S',.7*h]} if (h >= H || C.n == null) {return [c,font,'T',h]} c = C.n } }, /* * Create the HTML needed for a stretchable delimiter of a given height, * either centered or not. This version uses relative placement (i.e., * backspaces, not line-breaks). This works with more browsers, but * if the font size changes, the backspacing may not be right, so the * delimiters may become jagged. */ DelimExtendRelative: function (H,c,font,a,nocenter) { var C = jsMath.TeX[font][c]; var top = this.GetChar(C.delim.top? C.delim.top: C.delim.rep,font); var rep = this.GetChar(C.delim.rep,font); var bot = this.GetChar(C.delim.bot? C.delim.bot: C.delim.rep,font); var ext = jsMath.Typeset.AddClass(rep.tclass,rep.c); var w = rep.w; var h = rep.h+rep.d var y; var dx; if (C.delim.mid) {// braces var mid = this.GetChar(C.delim.mid,font); var n = Math.ceil((H-(top.h+top.d)-(mid.h+mid.d)-(bot.h+bot.d))/(2*(rep.h+rep.d))); H = 2*n*(rep.h+rep.d) + (top.h+top.d) + (mid.h+mid.d) + (bot.h+bot.d); if (nocenter) {y = 0} else {y = H/2+a}; var Y = y; var html = jsMath.HTML.Place(jsMath.Typeset.AddClass(top.tclass,top.c),0,y-top.h) + jsMath.HTML.Place(jsMath.Typeset.AddClass(bot.tclass,bot.c),-(top.w+bot.w)/2,y-(H-bot.d)) + jsMath.HTML.Place(jsMath.Typeset.AddClass(mid.tclass,mid.c),-(bot.w+mid.w)/2,y-(H+mid.h-mid.d)/2); dx = (w-mid.w)/2; if (Math.abs(dx) < .0001) {dx = 0} if (dx) {html += jsMath.HTML.Spacer(dx)} y -= top.h+top.d + rep.h; for (var i = 0; i < n; i++) {html += jsMath.HTML.Place(ext,-w,y-i*h)} y -= H/2 - rep.h/2; for (var i = 0; i < n; i++) {html += jsMath.HTML.Place(ext,-w,y-i*h)} } else {// everything else var n = Math.ceil((H - (top.h+top.d) - (bot.h+bot.d))/(rep.h+rep.d)); // make sure two-headed arrows have an extender if (top.h+top.d < .9*(rep.h+rep.d)) {n = Math.max(1,n)} H = n*(rep.h+rep.d) + (top.h+top.d) + (bot.h+bot.d); if (nocenter) {y = 0} else {y = H/2+a}; var Y = y; var html = jsMath.HTML.Place(jsMath.Typeset.AddClass(top.tclass,top.c),0,y-top.h) dx = (w-top.w)/2; if (Math.abs(dx) < .0001) {dx = 0} if (dx) {html += jsMath.HTML.Spacer(dx)} y -= top.h+top.d + rep.h; for (var i = 0; i < n; i++) {html += jsMath.HTML.Place(ext,-w,y-i*h)} html += jsMath.HTML.Place(jsMath.Typeset.AddClass(bot.tclass,bot.c),-(w+bot.w)/2,Y-(H-bot.d)); } if (nocenter) {h = top.h} else {h = H/2+a} var box = new jsMath.Box('html',html,rep.w,h,H-h); box.bh = jsMath.TeX[font].h; box.bd = jsMath.TeX[font].d; return box; }, /* * Create the HTML needed for a stretchable delimiter of a given height, * either centered or not. This version uses absolute placement (i.e., * line-breaks, not backspacing). This gives more reliable results, * but doesn't work with all browsers. */ DelimExtendAbsolute: function (H,c,font,a,nocenter) { var Font = jsMath.TeX[font]; var C = Font[c]; var top = this.GetChar(C.delim.top? C.delim.top: C.delim.rep,font); var rep = this.GetChar(C.delim.rep,font); var bot = this.GetChar(C.delim.bot? C.delim.bot: C.delim.rep,font); if (C.delim.mid) {// braces var mid = this.GetChar(C.delim.mid,font); var n = Math.ceil((H-(top.h+top.d)-(mid.h+mid.d-.05)-(bot.h+bot.d-.05))/(2*(rep.h+rep.d-.05))); H = 2*n*(rep.h+rep.d-.05) + (top.h+top.d) + (mid.h+mid.d-.05) + (bot.h+bot.d-.05); html = jsMath.HTML.PlaceAbsolute(jsMath.Typeset.AddClass(top.tclass,top.c),0,0); var h = rep.h+rep.d - .05; var y = top.d-.05 + rep.h; var ext = jsMath.Typeset.AddClass(font,rep.c) for (var i = 0; i < n; i++) {html += jsMath.HTML.PlaceAbsolute(ext,0,y+i*h)} html += jsMath.HTML.PlaceAbsolute(jsMath.Typeset.AddClass(mid.tclass,mid.c),0,y+n*h-rep.h+mid.h); y += n*h + mid.h+mid.d - .05; for (var i = 0; i < n; i++) {html += jsMath.HTML.PlaceAbsolute(ext,0,y+i*h)} html += jsMath.HTML.PlaceAbsolute(jsMath.Typeset.AddClass(bot.tclass,bot.c),0,y+n*h-rep.h+bot.h); } else {// all others var n = Math.ceil((H - (top.h+top.d) - (bot.h+bot.d-.05))/(rep.h+rep.d-.05)); H = n*(rep.h+rep.d-.05) + (top.h+top.d) + (bot.h+bot.d-.05); html = jsMath.HTML.PlaceAbsolute(jsMath.Typeset.AddClass(top.tclass,top.c),0,0); var h = rep.h+rep.d-.05; var y = top.d-.05 + rep.h; var ext = jsMath.Typeset.AddClass(rep.tclass,rep.c); for (var i = 0; i < n; i++) {html += jsMath.HTML.PlaceAbsolute(ext,0,y+i*h)} html += jsMath.HTML.PlaceAbsolute(jsMath.Typeset.AddClass(bot.tclass,bot.c),0,y+n*h-rep.h+bot.h); } var w = top.w; if (nocenter) {h = top.h; y = 0} else {h = H/2 + a; y = h - top.h} html = jsMath.HTML.Absolute(html,w,Font.h,"none",-y,top.h); var box = new jsMath.Box('html',html,rep.w,h,H-h); box.bh = jsMath.TeX[font].h; box.bd = jsMath.TeX[font].d; return box; }, /* * Get the HTML for a given delimiter of a given height. * It will return either a single character, if one exists, or the * more complex HTML needed for a stretchable delimiter. */ Delimiter: function (H,delim,style,nocenter) { var size = 4; //### pass this? var TeX = jsMath.Typeset.TeX(style,size); var CFSH = this.DelimBestFit(H,(delim&0xFF000)>>12,(delim&0xF00000)>>20,style); if (CFSH == null || CFSH[3] < H) {CFSH = this.DelimBestFit(H,(delim&0xFF),(delim&0xF00)>>8,style)} if (CFSH == null) {return this.Space(TeX.nulldelimiterspace)} if (CFSH[2] == '') {return this.DelimExtend(H,CFSH[0],CFSH[1],TeX.axis_height,nocenter)} box = jsMath.Box.TeX(CFSH[0],CFSH[1],CFSH[2],size).Styled(); if (nocenter) {box.y = -jsMath.TeX[CFSH[1]].dh*TeX.scale} else {box.y = -((box.h+box.d)/2 - box.d - TeX.axis_height)} if (Math.abs(box.y) < .0001) {box.y = 0} if (box.y) {box = jsMath.Box.SetList([box],CFSH[2],size)} return box; }, /* * Get a character by its TeX charcode, and make sure its width * is specified. */ GetCharCode: function (code) { var font = jsMath.TeX.fam[(code&0xF00)>>8]; var Font = jsMath.TeX[font]; var c = Font[code & 0xFF]; if (c.w == null) {c.w = jsMath.EmBoxFor(jsMath.Typeset.AddClass(c.tclass,c.c)).w} if (c.font == null) {c.font = font} return c; }, /* * Add the class to the html, and use the font if there isn't one * specified already */ AddClass: function (tclass,html,font) { if (tclass == null) {tclass = font} return jsMath.Typeset.AddClass(tclass,html); }, /* * Create a horizontally stretchable "delimiter" (like over- and * underbraces). */ //### Add size? Leaders: function (W,leader) { var h; var d; var w; var html; var font; if (leader.lmid) {// braces font = jsMath.TeX.fam[(leader.left & 0xF00) >> 8]; var left = this.GetCharCode(leader.left); var right = this.GetCharCode(leader.right); var lmid = this.GetCharCode(leader.lmid); var rmid = this.GetCharCode(leader.rmid); w = (W - left.w - right.w - lmid.w - rmid.w)/2 - .1; h = .4; d = .3; if (w < 0) {w = 0} html = this.AddClass(left.tclass,left.c,left.font) + jsMath.HTML.Rule(w,left.h) + this.AddClass(lmid.tclass,lmid.c+rmid.c,lmid.font) + jsMath.HTML.Rule(w,right.h) + this.AddClass(right.tclass,right.c,right.font); } else { //arrows font = jsMath.TeX.fam[(leader.rep &0xF00) >> 8]; var left = this.GetCharCode(leader.left? leader.left: leader.rep); var rep = this.GetCharCode(leader.rep); var right = this.GetCharCode(leader.right? leader.right: leader.rep); var n = Math.ceil((W - left.w - right.w + .4)/(rep.w - .3)); w = (W - left.w - right.w + .4 - n*(rep.w - .3)); if (leader.left) {h = left.h; d = left.d} else {h = right.h; d = right.d} if (d == null) {d = 0}; if (h == null) {h = 0} var html = this.AddClass(left.tclass,left.c,left.font); var m = Math.floor(n/2); var ext = jsMath.HTML.Place(rep.c,-.3,0); var ehtml = ''; for (var i = 0; i < m; i++) {ehtml += ext}; html += this.AddClass(rep.tclass,ehtml,rep.font) + jsMath.HTML.Spacer(w); ehtml = ''; for (var i = m; i < n; i++) {ehtml += ext}; html += this.AddClass(rep.tclass,ehtml,rep.font); if (jsMath.msieFontBug) {html += '<SPAN STYLE="display: none">x</SPAN>'} html += jsMath.HTML.Place(this.AddClass(right.tclass,right.c,right.font),-.4,0); } w = jsMath.EmBoxFor(html).w; if (w != W) { w = jsMath.HTML.Spacer((W-w)/2); html = w + html + w; } var box = new jsMath.Box('html',html,W,h,d); box.bh = jsMath.TeX[font].h; box.bd = jsMath.TeX[font].d; return box; }, /* * Create the HTML for an alignment (e.g., array or matrix) * Since the widths are not really accurate (they are based on pixel * widths not the sub-pixel widths of the actual characters), there * is some drift involved. We lay out the table column by column * to help reduce the problem. * * ### still need to allow users to specify row and column attributes, * and do things like \span and \multispan ### */ LayoutRelative: function (size,table,align,cspacing) { if (align == null) {align = []} if (cspacing == null) {cspacing = []} // get row and column maximum dimensions var scale = jsMath.sizes[size]/100; var W = []; var H = []; var D = []; var unset = -1000; var bh = unset; var bd = unset; var i; var j; var row; for (i = 0; i < table.length; i++) { row = table[i]; H[i] = jsMath.h*scale; D[i] = jsMath.d*scale; for (j = 0; j < row.length; j++) { row[j] = row[j].Remeasured(); if (row[j].h > H[i]) {H[i] = row[j].h} if (row[j].d > D[i]) {D[i] = row[j].d} if (j >= W.length) {W[j] = row[j].w} else if (row[j].w > W[j]) {W[j] = row[j].w} if (row[j].bh > bh) {bh = row[j].bh} if (row[j].bd > bd) {bd = row[j].bd} } } if (bh == unset) {bh = 0}; if (bd == unset) {bd = 0} // lay out the columns var HD = (jsMath.hd-.01)*scale; var html = ''; var pW = 0; var cW = 0; var w; var h; var y; var box; var mlist; var entry; for (j = 0; j < W.length; j++) { mlist = []; y = -H[0]; pW = 0; for (i = 0; i < table.length; i++) { entry = table[i][j]; if (entry && entry.format != 'null') { if (align[j] == 'l') {w = 0} else if (align[j] == 'r') {w = W[j] - entry.w} else {w = (W[j] - entry.w)/2} entry.x = w - pW; pW = entry.w + w; entry.y = y; mlist[mlist.length] = entry; } if (i == table.length-1) {y -= D[i]} else {y -= Math.max(HD,D[i]+H[i+1]) + scale/10} } if (cspacing[j] == null) cspacing[j] = scale; if (mlist.length > 0) { box = jsMath.Box.SetList(mlist,'T',size); html += jsMath.HTML.Place(box.html,cW,0); cW = W[j] - box.w + cspacing[j]; } else {cW += cspacing[j]} } // get the full width and height w = -cspacing[W.length-1]; y = (H.length-1)*scale/10; for (i = 0; i < W.length; i++) {w += W[i] + cspacing[i]} for (i = 0; i < H.length; i++) {y += Math.max(HD,H[i]+D[i])} h = y/2 + jsMath.TeX.axis_height; var d = y-h; // adjust the final row width, and vcenter the table // (add 1/6em at each side for the \,) html += jsMath.HTML.Spacer(cW-cspacing[W.length-1] + scale/6); html = jsMath.HTML.Place(html,scale/6,h); box = new jsMath.Box('html',html,w+scale/3,h,d); box.bh = bh; box.bd = bd; return box; }, /* * Create the HTML for an alignment (e.g., array or matrix) * Use absolute position for elements in the array. * * ### still need to allow users to specify row and column attributes, * and do things like \span and \multispan ### */ LayoutAbsolute: function (size,table,align,cspacing) { if (align == null) {align = []} if (cspacing == null) {cspacing = []} // get row and column maximum dimensions var scale = jsMath.sizes[size]/100; var HD = (jsMath.hd-.01)*scale; var W = []; var H = []; var D = []; var w = 0; var h; var x; var y; var i; var j; var row; for (i = 0; i < table.length; i++) { row = table[i]; H[i] = jsMath.h*scale; D[i] = jsMath.d*scale; for (j = 0; j < row.length; j++) { row[j] = row[j].Remeasured(); if (row[j].h > H[i]) {H[i] = row[j].h} if (row[j].d > D[i]) {D[i] = row[j].d} if (j >= W.length) {W[j] = row[j].w} else if (row[j].w > W[j]) {W[j] = row[j].w} } } // get the height and depth of the centered table y = (H.length-1)*scale/6; for (i = 0; i < H.length; i++) {y += Math.max(HD,H[i]+D[i])} h = y/2 + jsMath.TeX.axis_height; var d = y - h; // lay out the columns var html = ''; var entry; w = scale/6; for (j = 0; j < W.length; j++) { y = H[0]-h; for (i = 0; i < table.length; i++) { entry = table[i][j]; if (entry && entry.format != 'null') { if (align[j] == 'l') {x = 0} else if (align[j] == 'r') {x = W[j] - entry.w} else {x = (W[j] - entry.w)/2} html += jsMath.HTML.PlaceAbsolute(entry.html,w+x, y-Math.max(0,entry.bh-jsMath.h*scale)); } if (i == table.length-1) {y += D[i]} else {y += Math.max(HD,D[i]+H[i+1]) + scale/6} } if (cspacing[j] == null) cspacing[j] = scale; w += W[j] + cspacing[j]; } // get the full width w = -cspacing[W.length-1]+scale/3; for (i = 0; i < W.length; i++) {w += W[i] + cspacing[i]} html = jsMath.HTML.Spacer(scale/6)+html+jsMath.HTML.Spacer(scale/6); if (jsMath.spanHeightVaries) {y = h-jsMath.h} else {y = 0} html = jsMath.HTML.Absolute(html,w,h+d,d,y,H[0]); var box = new jsMath.Box('html',html,w+scale/3,h,d); return box; }, /* * Look for math within \hbox and other non-math text */ InternalMath: function (text,size) { if (!text.match(/\$|\\\(/)) {return this.Text(text,'nonmath','T',size).Styled()} var i = 0; var k = 0; var c; var match = ''; var mlist = []; var parse; var html; var box; while (i < text.length) { c = text.charAt(i++); if (c == '$') { if (match == '$') { parse = jsMath.Parse(text.slice(k,i-1),null,size); if (parse.error) { mlist[mlist.length] = this.Text(parse.error,'error','T',size,1,1); } else { parse.Atomize(); mlist[mlist.length] = parse.mlist.Typeset('T',size).Styled(); } match = ''; k = i; } else { mlist[mlist.length] = this.Text(text.slice(k,i-1),'nonmath','T',size,1,1); match = '$'; k = i; } } else if (c == '\\') { c = text.charAt(i++); if (c == '(' && match == '') { mlist[mlist.length] = this.Text(text.slice(k,i-2),'nonmath','T',size,1,1); match = ')'; k = i; } else if (c == ')' && match == ')') { parse = jsMath.Parse(text.slice(k,i-2),null,size); if (parse.error) { mlist[mlist.length] = this.Text(parse.error,'error','T',size,1,1); } else { parse.Atomize(); mlist[mlist.length] = parse.mlist.Typeset('T',size).Styled(); } match = ''; k = i; } } } mlist[mlist.length] = this.Text(text.slice(k),'nonmath','T',size,1,1); return this.SetList(mlist,'T',size); }, /* * Convert an abitrary box to a typeset box. I.e., make an * HTML version of the contents of the box, at its desired (x,y) * position. */ Set: function (box,style,size,addstyle) { if (box) { if (box.type == 'typeset') {return box} if (box.type == 'mlist') { box.mlist.Atomize(style,size); return box.mlist.Typeset(style,size); } if (box.type == 'text') { box = this.Text(box.text,box.tclass,style,size,box.ascend,box.descend); if (addstyle != 0) {box.Styled()} return box; } box = this.TeX(box.c,box.font,style,size); if (addstyle != 0) {box.Styled()} return box; } return jsMath.Box.Null; }, /* * Convert a list of boxes to a single typeset box. I.e., finalize * the HTML for the list of boxes, properly spaced and positioned. */ SetList: function (boxes,style,size) { var mlist = []; var box; for (var i = 0; i < boxes.length; i++) { box = boxes[i]; if (box.type == 'typeset') {box = jsMath.mItem.Typeset(box)} mlist[mlist.length] = box; } var typeset = new jsMath.Typeset(mlist); return typeset.Typeset(style,size); } }); jsMath.Package(jsMath.Box,{ /* * Add the class and style to a text box (i.e., finalize the * unpositioned HTML for the box). */ Styled: function () { if (this.format == 'text') { this.html = jsMath.Typeset.AddClass(this.tclass,this.html); this.html = jsMath.Typeset.AddStyle(this.style,this.size,this.html); delete this.tclass; delete this.style; this.format = 'html'; } return this; }, /* * Recompute the box width to make it more accurate. */ Remeasured: function () { if (this.w > 0) { if (!jsMath.spanHeightVaries || !this.html.match(/position: ?absolute/)) {this.w = jsMath.EmBoxFor(this.html).w} } return this; } }); /***************************************************************************/ /* * mItems are the buiulding blocks of mLists (math lists) used to * store the information about a mathematical expression. These are * basically the items listed in the TeXbook in Appendix G (plus some * minor extensions). */ jsMath.mItem = function (type,def) { this.type = type; jsMath.Add(this,def); } jsMath.Add(jsMath.mItem,{ /* * a general atom (given a nucleus for the atom) */ Atom: function (type,nucleus) { return new jsMath.mItem(type,{atom: 1, nuc: nucleus}); }, /* * An atom whose nucleus is a piece of text, in a given * class, with a given additional height and depth */ TextAtom: function (type,text,tclass,a,d) { var atom = new jsMath.mItem(type,{ atom: 1, nuc: { type: 'text', text: text, tclass: tclass } }); if (a != null) {atom.nuc.ascend = a} if (d != null) {atom.nuc.descend = d} return atom; }, /* * An atom whose nucleus is a TeX character in a specific font */ TeXAtom: function (type,c,font) { return new jsMath.mItem(type,{ atom: 1, nuc: { type: 'TeX', c: c, font: font } }); }, /* * A generalized fraction atom, with given delimiters, rule * thickness, and a numerator and denominator. */ Fraction: function (name,num,den,thickness,left,right) { return new jsMath.mItem('fraction',{ from: name, num: num, den: den, thickness: thickness, left: left, right: right }); }, /* * An atom that inserts some glue */ Space: function (w) {return new jsMath.mItem('space',{w: w})}, /* * An atom that contains a typeset box (like an hbox or vbox) */ Typeset: function (box) {return new jsMath.mItem('box',{nuc: box})}, /* * An atom that contains some finished HTML (acts like a typeset box) */ HTML: function (html) {return new jsMath.mItem('html',{html: html})} }); /***************************************************************************/ /* * mLists are lists of mItems, and encode the contents of * mathematical expressions and sub-expressions. They act as * the expression "stack" as the mathematics is parsed, and * contain some state information, like the position of the * most recent open paren and \over command, and the current font. */ jsMath.mList = function (list,font,size,style) { if (list) {this.mlist = list} else {this.mlist = []} if (style == null) {style = 'T'}; if (size == null) {size = 4} this.data = {openI: null, overI: null, overF: null, font: font, size: size, style: style}; this.init = {size: size, style: style}; } jsMath.Package(jsMath.mList,{ /* * Add an mItem to the list */ Add: function (box) {return (this.mlist[this.mlist.length] = box)}, /* * Get the i-th mItem from the list */ Get: function (i) {return this.mlist[i]}, /* * Get the length of the list */ Length: function() {return this.mlist.length}, /* * Get the tail mItem of the list */ Last: function () { if (this.mlist.length == 0) {return null} return this.mlist[this.mlist.length-1] }, /* * Get a sublist of an mList */ Range: function (i,j) { if (j == null) {j = this.mlist.length} return new jsMath.mList(this.mlist.slice(i,j+1)); }, /* * Remove a range of mItems from the list. */ Delete: function (i,j) { if (j == null) {j = i} if (this.mlist.splice) {this.mlist.splice(i,j-i+1)} else { var mlist = []; for (var k = 0; k < this.mlist.length; k++) {if (k < i || k > j) {mlist[mlist.length] = this.mlist[k]}} this.mlist = mlist; } }, /* * Add an open brace and maintain the stack information * about the previous open brace so we can recover it * when this one os closed. */ Open: function (left) { var box = this.Add(new jsMath.mItem('boundary',{data: this.data})); var olddata = this.data; this.data = {}; for (var i in olddata) {this.data[i] = olddata[i]} delete this.data.overI; delete this.data.overF; this.data.openI = this.mlist.length-1; if (left != null) {box.left = left} return box; }, /* * Attempt to close a brace. Recover the stack information * about previous open braces and \over commands. If there was an * \over (or \above, etc) in this set of braces, create a fraction * atom from the two halves, otherwise create an inner or ord * from the contents of the braces. * Remove the braced material from the list and add the newly * created atom (the fraction, inner or ord). */ Close: function (right) { if (right != null) {right = new jsMath.mItem('boundary',{right: right})} var atom; var open = this.data.openI; var over = this.data.overI; var from = this.data.overF; this.data = this.mlist[open].data; if (over) { atom = jsMath.mItem.Fraction(from.name, {type: 'mlist', mlist: this.Range(open+1,over-1)}, {type: 'mlist', mlist: this.Range(over)}, from.thickness,from.left,from.right); if (right) { var mlist = new jsMath.mList([this.mlist[open],atom,right]); atom = jsMath.mItem.Atom('inner',{type: 'mlist', mlist: mlist}); } } else { var openI = open+1; if (right) {this.Add(right); openI--} atom = jsMath.mItem.Atom((right)?'inner':'ord', {type: 'mlist', mlist: this.Range(openI)}); } this.Delete(open,this.Length()); return this.Add(atom); }, /* * Create a generalized fraction from an mlist that * contains an \over (or \above, etc). */ Over: function () { var over = this.data.overI; var from = this.data.overF var atom = jsMath.mItem.Fraction(from.name, {type: 'mlist', mlist: this.Range(open+1,over-1)}, {type: 'mlist', mlist: this.Range(over)}, from.thickness,from.left,from.right); this.mlist = [atom]; }, /* * Take a raw mList (that has been produced by parsing some TeX * expression), and perform the modifications outlined in * Appendix G of the TeXbook. */ Atomize: function (style,size) { var mitem; var prev = ''; this.style = style; this.size = size; for (var i = 0; i < this.mlist.length; i++) { mitem = this.mlist[i]; mitem.delta = 0; if (mitem.type == 'choice') {this.mlist = this.Atomize.choice(this.style,mitem,i,this.mlist); i--} else if (this.Atomize[mitem.type]) { var f = this.Atomize[mitem.type]; // Opera needs separate name f(this.style,this.size,mitem,prev,this,i); } prev = mitem; } if (mitem && mitem.type == 'bin') {mitem.type = 'ord'} if (this.mlist.length >= 2 && mitem.type == 'boundary' && this.mlist[0].type == 'boundary') {this.AddDelimiters(style,size)} }, /* * For a list that has boundary delimiters as its first and last * entries, we replace the boundary atoms by open and close * atoms whose nuclei are the specified delimiters properly sized * for the contents of the list. (Rule 19) */ AddDelimiters: function(style,size) { var unset = -10000; var h = unset; var d = unset; for (var i = 0; i < this.mlist.length; i++) { mitem = this.mlist[i]; if (mitem.atom || mitem.type == 'box') { h = Math.max(h,mitem.nuc.h+mitem.nuc.y); d = Math.max(d,mitem.nuc.d-mitem.nuc.y); } } var TeX = jsMath.TeX; var a = jsMath.Typeset.TeX(style,size).axis_height; var delta = Math.max(h-a,d+a); var H = Math.max(Math.floor(TeX.integer*delta/500)*TeX.delimiterfactor, TeX.integer*(2*delta-TeX.delimitershortfall))/TeX.integer; var left = this.mlist[0]; var right = this.mlist[this.mlist.length-1]; left.nuc = jsMath.Box.Delimiter(H,left.left,style); right.nuc = jsMath.Box.Delimiter(H,right.right,style); left.type = 'open'; left.atom = 1; delete left.left; right.type = 'close'; right.atom = 1; delete right.right; }, /* * Typeset a math list to produce final HTML for the list. */ Typeset: function (style,size) { var typeset = new jsMath.Typeset(this.mlist); return typeset.Typeset(style,size); } }); /* * These routines implement the main rules given in Appendix G of the * TeXbook */ jsMath.Add(jsMath.mList.prototype.Atomize,{ /* * Handle a 4-way choice atom. (Rule 4) */ choice: function (style,mitem,i,mlist) { if (style.charAt(style.length-1) == "'") {style = style.slice(0,style.length-1)} var nlist = []; var M = mitem[style]; if (!M) {M = {type: 'mlist', mlist: []}} if (M.type == 'mlist') { M = M.mlist.mlist; for (var k = 0; k < i; k++) {nlist[k] = mlist[k]} for (k = 0; k < M.length; k++) {nlist[i+k] = M[k]} for (k = i+1; k < mlist.length; k++) {nlist[nlist.length] = mlist[k]} return nlist; } else { mlist[i] = jsMath.mItem.Atom('ord',M); return mlist; } }, /* * Handle \displaystyle, \textstyle, etc. */ style: function (style,size,mitem,prev,mlist) { mlist.style = mitem.style; }, /* * Handle \tiny, \small, etc. */ size: function (style,size,mitem,prev,mlist) { mlist.size = mitem.size; }, /* * Create empty boxes of the proper sizes for the various * phantom-type commands */ phantom: function (style,size,mitem) { var box = mitem.nuc = jsMath.Box.Set(mitem.phantom,style,size); if (mitem.h) {box.Remeasured(); box.html = jsMath.HTML.Spacer(box.w)} else {box.html = '', box.w = 0} if (!mitem.v) {box.h = box.d = 0} box.bd = box.bh = 0; delete mitem.phantom; mitem.type = 'box'; }, /* * Create a box of zero height and depth containing the * contents of the atom */ smash: function (style,size,mitem) { var box = mitem.nuc = jsMath.Box.Set(mitem.smash,style,size).Remeasured(); box.h = box.d = box.bd = box.bh = 0; delete mitem.smash; mitem.type = 'box'; }, /* * Move a box up or down vertically */ raise: function (style,size,mitem) { mitem.nuc = jsMath.Box.Set(mitem.nuc,style,size); var y = mitem.raise; mitem.nuc.html = jsMath.HTML.Place(mitem.nuc.html,0,y); mitem.nuc.h += y; mitem.nuc.d -= y; mitem.type = 'ord'; mitem.atom = 1; }, /* * Hide the size of a box so that it laps to the left or right, or * up or down. */ lap: function (style,size,mitem) { var box = jsMath.Box.Set(mitem.nuc,style,size).Remeasured(); var mlist = [box]; if (mitem.lap == 'llap') {box.x = -box.w} else if (mitem.lap == 'rlap') {mlist[1] = jsMath.mItem.Space(-box.w)} else if (mitem.lap == 'ulap') {box.y = box.d; box.h = box.d = 0} else if (mitem.lap == 'dlap') {box.y = -box.h; box.h = box.d = 0} mitem.nuc = jsMath.Box.SetList(mlist,style,size); if (mitem.lap == 'ulap' || mitem.lap == 'dlap') {mitem.nuc.h = mitem.nuc.d = 0} mitem.type = 'box'; delete mitem.atom; }, /* * Handle a Bin atom. (Rule 5) */ bin: function (style,size,mitem,prev) { if (prev) { var type = prev.type; if (type == 'bin' || type == 'op' || type == 'rel' || type == 'open' || type == 'punct' || type == '' || (type == 'boundary' && prev.left != '')) {mitem.type = 'ord'} } else {mitem.type = 'ord'} jsMath.mList.prototype.Atomize.SupSub(style,size,mitem); }, /* * Handle a Rel atom. (Rule 6) */ rel: function (style,size,mitem,prev) { if (prev.type == 'bin') {prev.type = 'ord'} jsMath.mList.prototype.Atomize.SupSub(style,size,mitem); }, /* * Handle a Close atom. (Rule 6) */ close: function (style,size,mitem,prev) { if (prev.type == 'bin') {prev.type = 'ord'} jsMath.mList.prototype.Atomize.SupSub(style,size,mitem); }, /* * Handle a Punct atom. (Rule 6) */ punct: function (style,size,mitem,prev) { if (prev.type == 'bin') {prev.type = 'ord'} jsMath.mList.prototype.Atomize.SupSub(style,size,mitem); }, /* * Handle an Open atom. (Rule 7) */ open: function (style,size,mitem) { jsMath.mList.prototype.Atomize.SupSub(style,size,mitem); }, /* * Handle an Inner atom. (Rule 7) */ inner: function (style,size,mitem) { jsMath.mList.prototype.Atomize.SupSub(style,size,mitem); }, /* * Handle a Vcent atom. (Rule 8) */ vcenter: function (style,size,mitem) { var box = jsMath.Box.Set(mitem.nuc,style,size); var TeX = jsMath.Typeset.TeX(style,size); box.y = TeX.axis_height - (box.h-box.d)/2; mitem.nuc = box; mitem.type = 'ord'; jsMath.mList.prototype.Atomize.SupSub(style,size,mitem); }, /* * Handle an Over atom. (Rule 9) */ overline: function (style,size,mitem) { var TeX = jsMath.Typeset.TeX(style,size); var box = jsMath.Box.Set(mitem.nuc,jsMath.Typeset.PrimeStyle(style),size).Remeasured(); var t = TeX.default_rule_thickness; var rule = jsMath.Box.Rule(box.w,t); rule.x = -rule.w; rule.y = box.h + 3*t; mitem.nuc = jsMath.Box.SetList([box,rule],style,size); mitem.nuc.h += t; mitem.type = 'ord'; jsMath.mList.prototype.Atomize.SupSub(style,size,mitem); }, /* * Handle an Under atom. (Rule 10) */ underline: function (style,size,mitem) { var TeX = jsMath.Typeset.TeX(style,size); var box = jsMath.Box.Set(mitem.nuc,jsMath.Typeset.PrimeStyle(style),size).Remeasured(); var t = TeX.default_rule_thickness; var rule = jsMath.Box.Rule(box.w,t); rule.x = -rule.w; rule.y = -box.d - 3*t - t; mitem.nuc = jsMath.Box.SetList([box,rule],style,size); mitem.nuc.d += t; mitem.type = 'ord'; jsMath.mList.prototype.Atomize.SupSub(style,size,mitem); }, /* * Handle a Rad atom. (Rule 11 plus stuff for \root..\of) */ radical: function (style,size,mitem) { var TeX = jsMath.Typeset.TeX(style,size); var Cp = jsMath.Typeset.PrimeStyle(style); var box = jsMath.Box.Set(mitem.nuc,Cp,size).Remeasured(); var t = TeX.default_rule_thickness; var p = t; if (style == 'D' || style == "D'") {p = TeX.x_height} var r = t + p/4; var surd = jsMath.Box.Delimiter(box.h+box.d+r+t,0x270370,style,1); t = surd.h; // thickness of rule is height of surd character if (surd.d > box.h+box.d+r) {r = (r+surd.d-box.h-box.d)/2} surd.y = box.h+r; var rule = jsMath.Box.Rule(box.w,t); rule.y = surd.y-t/2; rule.h += 3*t/2; box.x = -box.w; var Cr = jsMath.Typeset.UpStyle(jsMath.Typeset.UpStyle(style)); var root = jsMath.Box.Set(mitem.root,Cr,size).Remeasured(); if (mitem.root) { root.y = .55*(box.h+box.d+3*t+r)-box.d; surd.x = -(11/18)*surd.w; root.x = Math.max((11/18)*surd.w - root.w, 0); } mitem.nuc = jsMath.Box.SetList([root,surd,rule,box],style,size); mitem.type = 'ord'; jsMath.mList.prototype.Atomize.SupSub(style,size,mitem); }, /* * Handle an Acc atom. (Rule 12) */ accent: function (style,size,mitem) { var TeX = jsMath.Typeset.TeX(style,size); var Cp = jsMath.Typeset.PrimeStyle(style); var box = jsMath.Box.Set(mitem.nuc,Cp,size); var u = box.w; var s; var Font; if (mitem.nuc.type == 'TeX') { Font = jsMath.TeX[mitem.nuc.font]; if (Font[mitem.nuc.c].krn && Font.skewchar) {s = Font[mitem.nuc.c].krn[Font.skewchar]} } if (s == null) {s = 0} var c = mitem.accent & 0xFF; var font = jsMath.TeX.fam[(mitem.accent&0xF00)>>8]; Font = jsMath.TeX[font]; while (Font[c].n && Font[Font[c].n].w <= u) {c = Font[c].n} var delta = Math.min(box.h,TeX.x_height); if (mitem.nuc.type == 'TeX') { var nitem = jsMath.mItem.Atom('ord',mitem.nuc); nitem.sup = mitem.sup; nitem.sub = mitem.sub; nitem.delta = 0; jsMath.mList.prototype.Atomize.SupSub(style,size,nitem); delta += (nitem.nuc.h - box.h); box = mitem.nuc = nitem.nuc; delete mitem.sup; delete mitem.sub; } var acc = jsMath.Box.TeX(c,font,style,size); acc.y = box.h - delta; acc.x = -box.w + s + (u-acc.w)/2; if (Font[c].ic) {acc.x -= Font[c].ic * TeX.scale} mitem.nuc = jsMath.Box.SetList([box,acc],style,size); if (mitem.nuc.w != box.w) { var space = jsMath.mItem.Space(box.w-mitem.nuc.w); mitem.nuc = jsMath.Box.SetList([mitem.nuc,space],style,size); } mitem.type = 'ord'; jsMath.mList.prototype.Atomize.SupSub(style,size,mitem); }, /* * Handle an Op atom. (Rules 13 and 13a) */ op: function (style,size,mitem) { var TeX = jsMath.Typeset.TeX(style,size); var box; mitem.delta = 0; var isD = (style.charAt(0) == 'D'); if (mitem.limits == null && isD) {mitem.limits = 1} if (mitem.nuc.type == 'TeX') { var C = jsMath.TeX[mitem.nuc.font][mitem.nuc.c]; if (isD && C.n) {mitem.nuc.c = C.n; C = jsMath.TeX[mitem.nuc.font][C.n]} box = jsMath.Box.Set(mitem.nuc,style,size); if (C.ic) { mitem.delta = C.ic * TeX.scale; if (mitem.limits || !mitem.sub || jsMath.msieIntegralBug) {box = jsMath.Box.SetList([box,jsMath.mItem.Space(mitem.delta)],style,size)} } box.y = -((box.h+box.d)/2 - box.d - TeX.axis_height); if (Math.abs(box.y) < .0001) (box.y = 0) } if (!box) {box = jsMath.Box.Set(mitem.nuc,style,size).Remeasured()} if (mitem.limits) { var W = box.w; var x = box.w; var mlist = [box]; var dh = 0; var dd = 0; if (mitem.sup) { var sup = jsMath.Box.Set(mitem.sup,jsMath.Typeset.UpStyle(style),size).Remeasured(); sup.x = ((box.w-sup.w)/2 + mitem.delta/2) - x; dh = TeX.big_op_spacing5; W = Math.max(W,sup.w); x += sup.x + sup.w; sup.y = box.h+sup.d + box.y + Math.max(TeX.big_op_spacing1,TeX.big_op_spacing3-sup.d); mlist[mlist.length] = sup; delete mitem.sup; } if (mitem.sub) { var sub = jsMath.Box.Set(mitem.sub,jsMath.Typeset.DownStyle(style),size).Remeasured(); sub.x = ((box.w-sub.w)/2 - mitem.delta/2) - x; dd = TeX.big_op_spacing5; W = Math.max(W,sub.w); x += sub.x + sub.w; sub.y = -box.d-sub.h + box.y - Math.max(TeX.big_op_spacing2,TeX.big_op_spacing4-sub.h); mlist[mlist.length] = sub; delete mitem.sub; } if (W > box.w) {box.x = (W-box.w)/2; x += box.x} if (x < W) {mlist[mlist.length] = jsMath.mItem.Space(W-x)} mitem.nuc = jsMath.Box.SetList(mlist,style,size); mitem.nuc.h += dh; mitem.nuc.d += dd; } else { if (jsMath.msieIntegralBug && mitem.sub && C && C.ic) {mitem.nuc = jsMath.Box.SetList([box,jsMath.Box.Space(-C.ic*TeX.scale)],style,size)} else if (box.y) {mitem.nuc = jsMath.Box.SetList([box],style,size)} jsMath.mList.prototype.Atomize.SupSub(style,size,mitem); } }, /* * Handle an Ord atom. (Rule 14) */ ord: function (style,size,mitem,prev,mList,i) { if (mitem.nuc.type == 'TeX' && !mitem.sup && !mitem.sub) { var nitem = mList.mlist[i+1]; if (nitem && nitem.atom && nitem.type && (nitem.type == 'ord' || nitem.type == 'op' || nitem.type == 'bin' || nitem.type == 'rel' || nitem.type == 'open' || nitem.type == 'close' || nitem.type == 'punct')) { if (nitem.nuc.type == 'TeX' && nitem.nuc.font == mitem.nuc.font) { mitem.textsymbol = 1; var krn = jsMath.TeX[mitem.nuc.font][mitem.nuc.c].krn; krn *= jsMath.Typeset.TeX(style,size).scale; if (krn && krn[nitem.nuc.c]) { for (var k = mList.mlist.length-1; k > i; k--) {mList.mlist[k+1] = mList.mlist[k]} mList.mlist[i+1] = jsMath.mItem.Space(krn[nitem.nuc.c]); } } } } jsMath.mList.prototype.Atomize.SupSub(style,size,mitem); }, /* * Handle a generalized fraction. (Rules 15 to 15e) */ fraction: function (style,size,mitem) { var TeX = jsMath.Typeset.TeX(style,size); var t = 0; if (mitem.thickness != null) {t = mitem.thickness} else if (mitem.from.match(/over/)) {t = TeX.default_rule_thickness} var isD = (style.charAt(0) == 'D'); var Cn = (style == 'D')? 'T': (style == "D'")? "T'": jsMath.Typeset.UpStyle(style); var Cd = (isD)? "T'": jsMath.Typeset.DownStyle(style); var num = jsMath.Box.Set(mitem.num,Cn,size).Remeasured(); var den = jsMath.Box.Set(mitem.den,Cd,size).Remeasured(); var u; var v; var w; var H = (isD)? TeX.delim1 : TeX.delim2; var mlist = [jsMath.Box.Delimiter(H,mitem.left,style)] var right = jsMath.Box.Delimiter(H,mitem.right,style); if (num.w < den.w) { num.x = (den.w-num.w)/2; den.x = -(num.w + num.x); w = den.w; mlist[1] = num; mlist[2] = den; } else { den.x = (num.w-den.w)/2; num.x = -(den.w + den.x); w = num.w; mlist[1] = den; mlist[2] = num; } if (isD) {u = TeX.num1; v = TeX.denom1} else { u = (t != 0)? TeX.num2: TeX.num3; v = TeX.denom2; } if (t == 0) {// atop var p = (isD)? 7*TeX.default_rule_thickness: 3*TeX.default_rule_thickness; var r = (u - num.d) - (den.h - v); if (r < p) {u += (p-r)/2; v += (p-r)/2} } else {// over var p = (isD)? 3*t: t; var a = TeX.axis_height; var r = (u-num.d)-(a+t/2); if (r < p) {u += p-r} r = (a-t/2)-(den.h-v); if (r < p) {v += p-r} var rule = jsMath.Box.Rule(w,t); rule.x = -w; rule.y = a - t/2; mlist[mlist.length] = rule; } num.y = u; den.y = -v; mlist[mlist.length] = right; mitem.nuc = jsMath.Box.SetList(mlist,style,size); mitem.type = 'ord'; mitem.atom = 1; delete mitem.num; delete mitem.den; jsMath.mList.prototype.Atomize.SupSub(style,size,mitem); }, /* * Add subscripts and superscripts. (Rules 17-18f) */ SupSub: function (style,size,mitem) { var TeX = jsMath.Typeset.TeX(style,size); var nuc = mitem.nuc; var box = mitem.nuc = jsMath.Box.Set(mitem.nuc,style,size,0); if (box.format == 'null') {box = mitem.nuc = jsMath.Box.Text('','normal',style,size)} if (nuc.type == 'TeX') { if (!mitem.textsymbol) { var C = jsMath.TeX[nuc.font][nuc.c]; if (C.ic) { mitem.delta = C.ic * TeX.scale; if (!mitem.sub) { box = mitem.nuc = jsMath.Box.SetList([box,jsMath.Box.Space(mitem.delta)],style,size); mitem.delta = 0; } } } else {mitem.delta = 0} } if (!mitem.sup && !mitem.sub) return; mitem.nuc.Styled(); var Cd = jsMath.Typeset.DownStyle(style); var Cu = jsMath.Typeset.UpStyle(style); var q = jsMath.Typeset.TeX(Cu,size).sup_drop; var r = jsMath.Typeset.TeX(Cd,size).sub_drop; var u = 0; var v = 0; var p; if (nuc.type != 'text' && nuc.type != 'TeX' && nuc.type != 'null') {u = box.h - q; v = box.d + r} if (mitem.sub) { var sub = jsMath.Box.Set(mitem.sub,Cd,size); sub = jsMath.Box.SetList([sub,jsMath.mItem.Space(TeX.scriptspace)],style,size); } if (!mitem.sup) { sub.y = -Math.max(v,TeX.sub1,sub.h-(4/5)*jsMath.Typeset.TeX(Cd,size).x_height); mitem.nuc = jsMath.Box.SetList([box,sub],style,size).Styled(); delete mitem.sub; return; } var sup = jsMath.Box.Set(mitem.sup,Cu,size); sup = jsMath.Box.SetList([sup,jsMath.mItem.Space(TeX.scriptspace)],style,size); if (style == 'D') {p = TeX.sup1} else if (style.charAt(style.length-1) == "'") {p = TeX.sup3} else {p = TeX.sup2} u = Math.max(u,p,sup.d+jsMath.Typeset.TeX(Cu,size).x_height/4); if (!mitem.sub) { sup.y = u; mitem.nuc = jsMath.Box.SetList([box,sup],style,size); delete mitem.sup; return; } v = Math.max(v,jsMath.Typeset.TeX(Cd,size).sub2); var t = TeX.default_rule_thickness; if ((u-sup.d) - (sub.h -v) < 4*t) { v = 4*t + sub.h - (u-sup.d); p = (4/5)*TeX.x_height - (u-sup.d); if (p > 0) {u += p; v -= p} } sup.Remeasured(); sub.Remeasured(); sup.y = u; sub.y = -v; sup.x = mitem.delta; if (sup.w+sup.x > sub.w) {sup.x -= sub.w; mitem.nuc = jsMath.Box.SetList([box,sub,sup],style,size)} else {sub.x -= (sup.w+sup.x); mitem.nuc = jsMath.Box.SetList([box,sup,sub],style,size)} delete mitem.sup; delete mitem.sub; } }); /***************************************************************************/ /* * The Typeset object handles most of the TeX-specific processing */ jsMath.Typeset = function (mlist) { this.type = 'typeset'; this.mlist = mlist; } jsMath.Add(jsMath.Typeset,{ /* * The "C-uparrow" style table (TeXbook, p. 441) */ upStyle: { D: "S", T: "S", "D'": "S'", "T'": "S'", S: "SS", SS: "SS", "S'": "SS'", "SS'": "SS'" }, /* * The "C-downarrow" style table (TeXbook, p. 441) */ downStyle: { D: "S'", T: "S'", "D'": "S'", "T'": "S'", S: "SS'", SS: "SS'", "S'": "SS'", "SS'": "SS'" }, /* * Get the various styles given the current style * (see TeXbook, p. 441) */ UpStyle: function (style) {return this.upStyle[style]}, DownStyle: function (style) {return this.downStyle[style]}, PrimeStyle: function (style) { if (style.charAt(style.length-1) == "'") {return style} return style + "'" }, /* * A value scaled to the appropriate size for scripts */ StyleValue: function (style,v) { if (style == "S" || style == "S'") {return .7*v} if (style == "SS" || style == "SS'") {return .5*v} return v; }, /* * Return the font parameter table for the given style */ TeX: function (style,size) { if (style == "S" || style == "S'") {size = Math.max(0,size-2)} else if (style == "SS" || style == "SS'") {size = Math.max(0,size-4)} return jsMath.TeXparams[size]; }, /* * Add the CSS class for the given TeX style */ AddStyle: function (style,size,html) { if (style == "S" || style == "S'") {size = Math.max(0,size-2)} else if (style == "SS" || style == "SS'") {size = Math.max(0,size-4)} if (size != 4) {html = '<SPAN CLASS="size'+size+'">' + html + '</SPAN>'} return html; }, /* * Add the font class, if needed */ AddClass: function (tclass,html) { if (tclass != '' && tclass != 'normal') {html = jsMath.HTML.Class(tclass,html)} return html; } }); jsMath.Package(jsMath.Typeset,{ /* * The spacing tables for inter-atom spacing * (See rule 20, and Chapter 18, p 170) */ DTsep: { ord: {op: 1, bin: 2, rel: 3, inner: 1}, op: {ord: 1, op: 1, rel: 3, inner: 1}, bin: {ord: 2, op: 2, open: 2, inner: 2}, rel: {ord: 3, op: 3, open: 3, inner: 3}, open: {}, close: {op: 1, bin:2, rel: 3, inner: 1}, punct: {ord: 1, op: 1, rel: 1, open: 1, close: 1, punct: 1, inner: 1}, inner: {ord: 1, op: 1, bin: 2, rel: 3, open: 1, punct: 1, inner: 1} }, SSsep: { ord: {op: 1}, op: {ord: 1, op: 1}, bin: {}, rel: {}, open: {}, close: {op: 1}, punct: {}, inner: {op: 1} }, /* * The sizes used in the tables above */ sepW: ['','thinmuskip','medmuskip','thickmuskip'], /* * Find the amount of separation to use between two adjacent * atoms in the given style */ GetSeparation: function (l,r,style) { if (l && l.atom && r.atom) { var table = this.DTsep; if (style.charAt(0) == "S") {table = this.SSsep} var row = table[l.type]; if (row && row[r.type] != null) {return jsMath.TeX[this.sepW[row[r.type]]]} } return 0; }, /* * Typeset an mlist (i.e., turn it into HTML). * Here, text items of the same class and style are combined * to reduce the number of <SPAN> tags used (though it is still * huge). Spaces are combined, when possible. * ### More needs to be done with that. ### * The width of the final box is recomputed at the end, since * the final width is not necessarily the sum of the widths of * the individual parts (widths are in pixels, but the browsers * puts pieces together using sub-pixel accuracy). */ Typeset: function (style,size) { this.style = style; this.size = size; var unset = -10000 this.w = 0; this.h = unset; this.d = unset; this.bh = this.h; this.bd = this.d; this.tbuf = ''; this.tx = 0; this.tclass = ''; this.cbuf = ''; this.hbuf = ''; this.hx = 0; var mitem = null; var prev; this.x = 0; this.dx = 0; for (var i = 0; i < this.mlist.length; i++) { prev = mitem; mitem = this.mlist[i]; switch (mitem.type) { case 'size': this.FlushClassed(); this.size = mitem.size; mitem = prev; // hide this from TeX break; case 'style': this.FlushClassed(); if (this.style.charAt(this.style.length-1) == "'") {this.style = mitem.style + "'"} else {this.style = mitem.style} mitem = prev; // hide this from TeX break; case 'space': if (typeof(mitem.w) == 'object') { if (this.style.charAt(1) == 'S') {mitem.w = .5*mitem.w[0]/18} else if (this.style.charAt(0) == 'S') {mitem.w = .7*mitem.w[0]/18} else {mitem.w = mitem.w[0]/18} } this.dx += mitem.w-0; // mitem.w is sometimes a string? mitem = prev; // hide this from TeX break; case 'html': this.FlushClassed(); if (this.hbuf == '') {this.hx = this.x} this.hbuf += mitem.html; mitem = prev; // hide this from TeX break; default: // atom if (!mitem.atom && mitem.type != 'box') break; mitem.nuc.x += this.dx + this.GetSeparation(prev,mitem,this.style); if (mitem.nuc.y || mitem.nuc.x) mitem.nuc.Styled(); this.dx = 0; this.x = this.x + this.w; this.w += mitem.nuc.w + mitem.nuc.x; if (mitem.nuc.format == 'text') { if (this.tclass != mitem.nuc.tclass && this.tclass != '') this.FlushText(); if (this.tbuf == '' && this.cbuf == '') {this.tx = this.x} this.tbuf += mitem.nuc.html; this.tclass = mitem.nuc.tclass; } else { this.FlushClassed(); if (mitem.nuc.x || mitem.nuc.y) this.Place(mitem.nuc); if (this.hbuf == '') {this.hx = this.x} this.hbuf += mitem.nuc.html; } this.h = Math.max(this.h,mitem.nuc.h+mitem.nuc.y); this.bh = Math.max(this.bh,mitem.nuc.bh); this.d = Math.max(this.d,mitem.nuc.d-mitem.nuc.y); this.bd = Math.max(this.bd,mitem.nuc.bd); break; } } this.FlushClassed(); // make sure scaling is included if (this.dx) {this.hbuf += jsMath.HTML.Spacer(this.dx)} if (this.hbuf == '') {return jsMath.Box.Null} if (this.h == unset) {this.h = 0} if (this.d == unset) {this.d = 0} var box = new jsMath.Box('html',this.hbuf,this.w,this.h,this.d); box.bh = this.bh; box.bd = this.bd; return box; }, /* * Add the font to the buffered text and move it to the * classed-text buffer. */ FlushText: function () { if (this.tbuf == '') return; this.cbuf += jsMath.Typeset.AddClass(this.tclass,this.tbuf); this.tbuf = ''; this.tclass = ''; }, /* * Add the script or scriptscript style to the text and * move it to the HTML buffer */ FlushClassed: function () { this.FlushText(); if (this.cbuf == '') return; if (this.hbuf == '') {this.hx = this.tx} this.hbuf += jsMath.Typeset.AddStyle(this.style,this.size,this.cbuf); this.cbuf = ''; }, /* * Add a <SPAN> to position an item's HTML, and * adjust the items height and depth. * (This may be replaced buy one of the following browser-specific * versions by InitBrowser().) */ Place: function (item) { var html = '<SPAN STYLE="position: relative;'; if (item.x) {html += ' margin-left:'+jsMath.HTML.Em(item.x)+';'} if (item.y) {html += ' top:'+jsMath.HTML.Em(-item.y)+';'} item.html = html + '">' + item.html + '</SPAN>'; item.h += item.y; item.d -= item.y; item.x = 0; item.y = 0; }, /* * A replacement for Place() above that fixes a bug in MSIE. * (A separate <SPAN> is used to backspace, otherwise the * contents are clipped incorrectly.) */ PlaceSeparateNegative: function (item) { var html = '<SPAN STYLE="position: relative;'; // MSIE needs backspacing as separate SPAN if (item.x < 0) {html = '<SPAN STYLE="margin-left:'+jsMath.HTML.Em(item.x)+';"></SPAN>'+html} if (item.x > 0) {html += ' margin-left:'+jsMath.HTML.Em(item.x)+';'} if (item.y) {html += ' top:'+jsMath.HTML.Em(-item.y)+';'} item.html = html + '">' + item.html + '</SPAN>'; item.h += item.y; item.d -= item.y; item.x = 0; item.y = 0; }, /* * Here, the horizontal spacing is always done separately. */ PlaceSeparateSkips: function (item) { if (item.y) {item.html = '<SPAN STYLE="position: relative; top:'+jsMath.HTML.Em(-item.y)+';' + '">' + item.html + '</SPAN>'} if (item.x) {item.html = jsMath.msieSpaceFix + '<SPAN STYLE="margin-left:'+jsMath.HTML.Em(item.x)+';">' + '</SPAN>' + item.html} item.h += item.y; item.d -= item.y; item.x = 0; item.y = 0; } }); /***************************************************************************/ /* * The Parse object handles the parsing of the TeX input string, and creates * the mList to be typeset by the Typeset object above. */ jsMath.Parse = function (s,font,size,style) { var parse = new jsMath.Parser(s,font,size,style); parse.Parse(); return parse; } jsMath.Parser = function (s,font,size,style) { this.string = s; this.i = 0; this.mlist = new jsMath.mList(null,font,size,style); } jsMath.Package(jsMath.Parser,{ // special characters cmd: '\\', open: '{', close: '}', // patterns for letters and numbers letter: /[a-z]/i, number: /[0-9]/, // the \mathchar definitions (see Appendix B of the TeXbook). mathchar: { '!': 0x5021, '(': 0x4028, ')': 0x5029, '*': 0x2203, // \ast '+': 0x202B, ',': 0x613B, '-': 0x2200, '.': 0x013A, '/': 0x013D, ':': 0x303A, ';': 0x603B, '<': 0x313C, '=': 0x303D, '>': 0x313E, '?': 0x503F, '[': 0x405B, ']': 0x505D, // '{': 0x4266, // '}': 0x5267, '|': 0x026A }, // handle special \catcode characters special: { '^': 'HandleSuperscript', '_': 'HandleSubscript', ' ': 'Space', "\t": 'Space', "\r": 'Space', "\n": 'Space', "'": 'Prime', '%': 'HandleComment', '&': 'HandleEntry' }, // the \mathchardef table (see Appendix B of the TeXbook). mathchardef: { // brace parts braceld: 0x37A, bracerd: 0x37B, bracelu: 0x37C, braceru: 0x37D, // Greek letters alpha: 0x010B, beta: 0x010C, gamma: 0x010D, delta: 0x010E, epsilon: 0x010F, zeta: 0x0110, eta: 0x0111, theta: 0x0112, iota: 0x0113, kappa: 0x0114, lambda: 0x0115, mu: 0x0116, nu: 0x0117, xi: 0x0118, pi: 0x0119, rho: 0x011A, sigma: 0x011B, tau: 0x011C, upsilon: 0x011D, phi: 0x011E, chi: 0x011F, psi: 0x0120, omega: 0x0121, varepsilon: 0x0122, vartheta: 0x0123, varpi: 0x0124, varrho: 0x0125, varsigma: 0x0126, varphi: 0x0127, Gamma: 0x7000, Delta: 0x7001, Theta: 0x7002, Lambda: 0x7003, Xi: 0x7004, Pi: 0x7005, Sigma: 0x7006, Upsilon: 0x7007, Phi: 0x7008, Psi: 0x7009, Omega: 0x700A, // Ord symbols aleph: 0x0240, imath: 0x017B, jmath: 0x017C, ell: 0x0160, wp: 0x017D, Re: 0x023C, Im: 0x023D, partial: 0x0140, infty: 0x0231, prime: 0x0230, emptyset: 0x023B, nabla: 0x0272, surd: 0x1270, top: 0x023E, bot: 0x023F, triangle: 0x0234, forall: 0x0238, exists: 0x0239, neg: 0x023A, lnot: 0x023A, flat: 0x015B, natural: 0x015C, sharp: 0x015D, clubsuit: 0x027C, diamondsuit: 0x027D, heartsuit: 0x027E, spadesuit: 0x027F, // big ops coprod: 0x1360, bigvee: 0x1357, bigwedge: 0x1356, biguplus: 0x1355, bigcap: 0x1354, bigcup: 0x1353, intop: 0x1352, prod: 0x1351, sum: 0x1350, bigotimes: 0x134E, bigoplus: 0x134C, bigodot: 0x134A, ointop: 0x1348, bigsqcup: 0x1346, smallint: 0x1273, // binary operations triangleleft: 0x212F, triangleright: 0x212E, bigtriangleup: 0x2234, bigtriangledown: 0x2235, wedge: 0x225E, land: 0x225E, vee: 0x225F, lor: 0x225F, cap: 0x225C, cup: 0x225B, ddagger: 0x227A, dagger: 0x2279, sqcap: 0x2275, sqcup: 0x2274, uplus: 0x225D, amalg: 0x2271, diamond: 0x2205, bullet: 0x220F, wr: 0x226F, div: 0x2204, odot: 0x220C, oslash: 0x220B, otimes: 0x220A, ominus: 0x2209, oplus: 0x2208, mp: 0x2207, pm: 0x2206, circ: 0x220E, bigcirc: 0x220D, setminus: 0x226E, // for set difference A\setminus B cdot: 0x2201, ast: 0x2203, times: 0x2202, star: 0x213F, // Relations propto: 0x322F, sqsubseteq: 0x3276, sqsupseteq: 0x3277, parallel: 0x326B, mid: 0x326A, dashv: 0x3261, vdash: 0x3260, leq: 0x3214, le: 0x3214, geq: 0x3215, ge: 0x3215, succ: 0x321F, prec: 0x321E, approx: 0x3219, succeq: 0x3217, preceq: 0x3216, supset: 0x321B, subset: 0x321A, supseteq: 0x3213, subseteq: 0x3212, 'in': 0x3232, ni: 0x3233, owns: 0x3233, gg: 0x321D, ll: 0x321C, not: 0x3236, sim: 0x3218, simeq: 0x3227, perp: 0x323F, equiv: 0x3211, asymp: 0x3210, smile: 0x315E, frown: 0x315F, // Arrows Leftrightarrow: 0x322C, Leftarrow: 0x3228, Rightarrow: 0x3229, leftrightarrow: 0x3224, leftarrow: 0x3220, gets: 0x3220, rightarrow: 0x3221, to: 0x3221, mapstochar: 0x3237, leftharpoonup: 0x3128, leftharpoondown: 0x3129, rightharpoonup: 0x312A, rightharpoondown: 0x312B, nearrow: 0x3225, searrow: 0x3226, nwarrow: 0x322D, swarrow: 0x322E, hbarchar: 0x0016, // for \hbar lhook: 0x312C, rhook: 0x312D, ldotp: 0x613A, // ldot as a punctuation mark cdotp: 0x6201, // cdot as a punctuation mark colon: 0x603A, // colon as a punctuation mark '#': 0x7023, '$': 0x7024, '%': 0x7025, '&': 0x7026 }, // The delimiter table (see Appendix B of the TeXbook) delimiter: { '(': 0x0028300, ')': 0x0029301, '[': 0x005B302, ']': 0x005D303, '<': 0x026830A, '>': 0x026930B, '/': 0x002F30E, '|': 0x026A30C, '.': 0x0000000, '\\': 0x026E30F, '\\lmoustache': 0x437A340, // top from (, bottom from ) '\\rmoustache': 0x537B341, // top from ), bottom from ( '\\lgroup': 0x462833A, // extensible ( with sharper tips '\\rgroup': 0x562933B, // extensible ) with sharper tips '\\arrowvert': 0x026A33C, // arrow without arrowheads '\\Arrowvert': 0x026B33D, // double arrow without arrowheads // '\\bracevert': 0x077C33E, // the vertical bar that extends braces '\\bracevert': 0x026A33E, // we don't load tt, so use | instead '\\Vert': 0x026B30D, '\\|': 0x026B30D, '\\vert': 0x026A30C, '\\uparrow': 0x3222378, '\\downarrow': 0x3223379, '\\updownarrow': 0x326C33F, '\\Uparrow': 0x322A37E, '\\Downarrow': 0x322B37F, '\\Updownarrow': 0x326D377, '\\backslash': 0x026E30F, // for double coset G\backslash H '\\rangle': 0x526930B, '\\langle': 0x426830A, '\\rbrace': 0x5267309, '\\lbrace': 0x4266308, '\\}': 0x5267309, '\\{': 0x4266308, '\\rceil': 0x5265307, '\\lceil': 0x4264306, '\\rfloor': 0x5263305, '\\lfloor': 0x4262304 }, /* * The basic macros for plain TeX. * * When the control sequence on the left is called, the JavaScript * funtion on the right is called, with the name of the control sequence * as its first parameter (this way, the same function can be called by * several different control sequences to do similar actions, and the * function can still tell which TeX command was issued). If the right * is an array, the first entry is the routine to call, and the * remaining entries in the array are parameters to pass to the function * as the second parameter (they are in an array reference). * * Note: TeX macros as defined by the user are discussed below. */ macros: { displaystyle: ['HandleStyle','D'], textstyle: ['HandleStyle','T'], scriptstyle: ['HandleStyle','S'], scriptscriptstyle: ['HandleStyle','SS'], rm: ['HandleFont',0], mit: ['HandleFont',1], oldstyle: ['HandleFont',1], cal: ['HandleFont',2], it: ['HandleFont',4], bf: ['HandleFont',6], left: 'HandleLeft', right: 'HandleRight', arcsin: ['NamedOp',0], arccos: ['NamedOp',0], arctan: ['NamedOp',0], arg: ['NamedOp',0], cos: ['NamedOp',0], cosh: ['NamedOp',0], cot: ['NamedOp',0], coth: ['NamedOp',0], csc: ['NamedOp',0], deg: ['NamedOp',0], det: 'NamedOp', dim: ['NamedOp',0], exp: ['NamedOp',0], gcd: 'NamedOp', hom: ['NamedOp',0], inf: 'NamedOp', ker: ['NamedOp',0], lg: ['NamedOp',0], lim: 'NamedOp', liminf: ['NamedOp',null,'lim<SPAN STYLE="margin-left: '+1/6+'em"></SPAN>inf'], limsup: ['NamedOp',null,'lim<SPAN STYLE="margin-left: '+1/6+'em"></SPAN>sup'], ln: ['NamedOp',0], log: ['NamedOp',0], max: 'NamedOp', min: 'NamedOp', Pr: 'NamedOp', sec: ['NamedOp',0], sin: ['NamedOp',0], sinh: ['NamedOp',0], sup: 'NamedOp', tan: ['NamedOp',0], tanh: ['NamedOp',0], vcenter: ['HandleAtom','vcenter'], overline: ['HandleAtom','overline'], underline: ['HandleAtom','underline'], over: 'HandleOver', overwithdelims: 'HandleOver', atop: 'HandleOver', atopwithdelims: 'HandleOver', above: 'HandleOver', abovewithdelims: 'HandleOver', brace: ['HandleOver','\\{','\\}'], brack: ['HandleOver','[',']'], choose: ['HandleOver','(',')'], overbrace: ['HandleLeaders','downbrace',1], underbrace: ['HandleLeaders','upbrace',1,1], overrightarrow: ['HandleLeaders','rightarrow'], overleftarrow: ['HandleLeaders','leftarrow'], llap: 'HandleLap', rlap: 'HandleLap', ulap: 'HandleLap', dlap: 'HandleLap', raise: 'RaiseLower', lower: 'RaiseLower', moveleft: 'MoveLeftRight', moveright: 'MoveLeftRight', frac: 'Frac', root: 'Root', sqrt: 'Sqrt', // TeX substitution macros hbar: ['Macro','\\hbarchar\\kern-.5em h'], ne: ['Macro','\\not='], neq: ['Macro','\\not='], notin: ['Macro','\\mathrel{\\rlap{\\kern2mu/}}\\in'], cong: ['Macro','\\mathrel{\\lower2mu{\\mathrel{{\\rlap{=}\\raise6mu\\sim}}}}'], bmod: ['Macro','\\mathbin{\\rm mod}'], pmod: ['Macro','\\kern 18mu ({\\rm mod}\\,\\,#1)',1], 'int': ['Macro','\\intop\\nolimits'], oint: ['Macro','\\ointop\\nolimits'], doteq: ['Macro','\\buildrel\\textstyle.\\over='], ldots: ['Macro','\\mathinner{\\ldotp\\ldotp\\ldotp}'], cdots: ['Macro','\\mathinner{\\cdotp\\cdotp\\cdotp}'], vdots: ['Macro','\\mathinner{\\rlap{\\raise8pt{\\rule 0pt 6pt 0pt .}}\\rlap{\\raise4pt{.}}.}'], ddots: ['Macro','\\mathinner{\\kern1mu\\raise7pt{\\rule 0pt 7pt 0pt .}\\kern2mu\\raise4pt{.}\\kern2mu\\raise1pt{.}\\kern1mu}'], joinrel: ['Macro','\\mathrel{\\kern-4mu}'], relbar: ['Macro','\\mathrel{\\smash-}'], // \smash, because - has the same height as + Relbar: ['Macro','\\mathrel='], bowtie: ['Macro','\\mathrel\\triangleright\\joinrel\\mathrel\\triangleleft'], models: ['Macro','\\mathrel|\\joinrel='], mapsto: ['Macro','\\mapstochar\\rightarrow'], rightleftharpoons: ['Macro','\\vcenter{\\mathrel{\\rlap{\\raise3mu{\\rightharpoonup}}}\\leftharpoondown}'], hookrightarrow: ['Macro','\\lhook\\joinrel\\rightarrow'], hookleftarrow: ['Macro','\\leftarrow\\joinrel\\rhook'], Longrightarrow: ['Macro','\\Relbar\\joinrel\\Rightarrow'], longrightarrow: ['Macro','\\relbar\\joinrel\\rightarrow'], longleftarrow: ['Macro','\\leftarrow\\joinrel\\relbar'], Longleftarrow: ['Macro','\\Leftarrow\\joinrel\\Relbar'], longmapsto: ['Macro','\\mapstochar\\char{cmsy10}{0}\\joinrel\\rightarrow'], longleftrightarrow: ['Macro','\\leftarrow\\joinrel\\rightarrow'], Longleftrightarrow: ['Macro','\\Leftarrow\\joinrel\\Rightarrow'], iff: ['Macro','\\;\\Longleftrightarrow\\;'], mathrm: ['Macro','{\\rm #1}',1], mathbf: ['Macro','{\\bf #1}',1], mathbb: ['Macro','{\\bf #1}',1], mathit: ['Macro','{\\it #1}',1], TeX: ['Macro','T\\kern-.1667em\\lower.5ex{E}\\kern-.125em X'], limits: ['Limits',1], nolimits: ['Limits',0], ',': ['Spacer',1/6], ':': ['Spacer',1/6], // for LaTeX '>': ['Spacer',2/9], ';': ['Spacer',5/18], '!': ['Spacer',-1/6], enspace: ['Spacer',1/2], quad: ['Spacer',1], qquad: ['Spacer',2], thinspace: ['Spacer',1/6], negthinspace: ['Spacer',-1/6], hskip: 'Hskip', kern: 'Hskip', rule: ['Rule','black'], space: ['Rule','blank'], big: ['MakeBig','ord',0.85], Big: ['MakeBig','ord',1.15], bigg: ['MakeBig','ord',1.45], Bigg: ['MakeBig','ord',1.75], bigl: ['MakeBig','open',0.85], Bigl: ['MakeBig','open',1.15], biggl: ['MakeBig','open',1.45], Biggl: ['MakeBig','open',1.75], bigr: ['MakeBig','close',0.85], Bigr: ['MakeBig','close',1.15], biggr: ['MakeBig','close',1.45], Biggr: ['MakeBig','close',1.75], bigm: ['MakeBig','rel',0.85], Bigm: ['MakeBig','rel',1.15], biggm: ['MakeBig','rel',1.45], Biggm: ['MakeBig','rel',1.75], mathord: ['HandleAtom','ord'], mathop: ['HandleAtom','op'], mathopen: ['HandleAtom','open'], mathclose: ['HandleAtom','close'], mathbin: ['HandleAtom','bin'], mathrel: ['HandleAtom','rel'], mathpunct: ['HandleAtom','punct'], mathinner: ['HandleAtom','inner'], mathchoice: 'MathChoice', buildrel: 'BuildRel', hbox: 'HBox', text: 'HBox', mbox: 'HBox', fbox: 'FBox', strut: 'Strut', mathstrut: ['Macro','\\vphantom{(}'], phantom: ['Phantom',1,1], vphantom: ['Phantom',1,0], hphantom: ['Phantom',0,1], smash: 'Smash', acute: ['MathAccent', 0x7013], grave: ['MathAccent', 0x7012], ddot: ['MathAccent', 0x707F], tilde: ['MathAccent', 0x707E], bar: ['MathAccent', 0x7016], breve: ['MathAccent', 0x7015], check: ['MathAccent', 0x7014], hat: ['MathAccent', 0x705E], vec: ['MathAccent', 0x017E], dot: ['MathAccent', 0x705F], widetilde: ['MathAccent', 0x0365], widehat: ['MathAccent', 0x0362], '_': ['Replace','ord','_','normal',-.4,.1], ' ': ['Replace','ord',' ','normal'], angle: ['Replace','ord','∠','normal'], matrix: 'Matrix', array: 'Matrix', // ### still need to do alignment options ### pmatrix: ['Matrix','(',')','c'], cases: ['Matrix','\\{','.',['l','l']], cr: 'HandleRow', '\\': 'HandleRow', // LaTeX begin: 'Begin', end: 'End', tiny: ['HandleSize',0], Tiny: ['HandleSize',1], // non-standard scriptsize: ['HandleSize',2], small: ['HandleSize',3], normalsize: ['HandleSize',4], large: ['HandleSize',5], Large: ['HandleSize',6], LARGE: ['HandleSize',7], huge: ['HandleSize',8], Huge: ['HandleSize',9], dots: ['Macro','\\ldots'], // Extensions to TeX color: 'Color', href: 'Href', 'class': 'Class', style: 'Style', unicode: 'Unicode', // debugging and test routines 'char': 'Char', test: 'Test' }, /* * LaTeX environments */ environments: { array: 'Array', matrix: ['Array',null,null,'c'], pmatrix: ['Array','(',')','c'], bmatrix: ['Array','[',']','c'], Bmatrix: ['Array','\\{','\\}','c'], vmatrix: ['Array','\\vert','\\vert','c'], Vmatrix: ['Array','\\Vert','\\Vert','c'], cases: ['Array','\\{','.','ll'], eqnarray: ['Array',null,null,'rcl',[5/18,5/18]] }, /* * The horizontally stretchable delimiters */ leaders: { downbrace: {left: 0x37A, lmid: 0x37D, rmid: 0x37C, right: 0x37B}, upbrace: {left: 0x37C, lmid: 0x37B, rmid: 0x37A, right: 0x37D}, leftarrow: {left: 0x220, rep: 0x200}, rightarrow: {rep: 0x200, right: 0x221} }, /***************************************************************************/ /* * Add special characters to list above. (This makes it possible * to define them in a variable that the user can change.) */ AddSpecial: function (obj) { for (var id in obj) { jsMath.Parser.prototype.special[jsMath.Parser.prototype[id]] = obj[id]; } }, /* * Throw an error */ Error: function (s) { this.i = this.string.length; if (s.error) {this.error = s.error} else { if (!this.error) {this.error = s} } }, /***************************************************************************/ /* * Check if the next character is a space */ nextIsSpace: function () { return this.string.charAt(this.i) == ' '; }, /* * Parse a substring to get its mList, and return it. * Check that no errors occured */ Process: function (arg) { var data = this.mlist.data; arg = jsMath.Parse(arg,data.font,data.size,data.style); if (arg.error) {this.Error(arg); return} if (arg.mlist.Length() == 0) {return null} if (arg.mlist.Length() == 1) { var atom = arg.mlist.Last(); if (atom.atom && atom.type == 'ord' && atom.nuc && !atom.sub && !atom.sup && (atom.nuc.type == 'text' || atom.nuc.type == 'TeX')) {return atom.nuc} } return {type: 'mlist', mlist: arg.mlist}; }, /* * Get and return a control-sequence name from the TeX string */ GetCommand: function () { var letter = /^([a-z]+|.) ?/i; var cmd = letter.exec(this.string.slice(this.i)); if (cmd) {this.i += cmd[1].length; return cmd[1]} this.Error("Missing control sequnece name at end of string or argument"); return }, /* * Get and return a TeX argument (either a single character or control sequence, * or the contents of the next set of braces). */ GetArgument: function (name,noneOK) { while (this.nextIsSpace()) {this.i++} if (this.i >= this.string.length) {if (!noneOK) this.Error("Missing argument for "+name); return} if (this.string.charAt(this.i) == this.close) {if (!noneOK) this.Error("Extra close brace"); return} if (this.string.charAt(this.i) == this.cmd) {this.i++; return this.cmd+this.GetCommand()} if (this.string.charAt(this.i) != this.open) {return this.string.charAt(this.i++)} var j = ++this.i; var pcount = 1; var c = ''; while (this.i < this.string.length) { c = this.string.charAt(this.i++); if (c == this.cmd) {this.i++} else if (c == this.open) {pcount++} else if (c == this.close) { if (pcount == 0) {this.Error("Extra close brace"); return} if (--pcount == 0) {return this.string.slice(j,this.i-1)} } } this.Error("Missing close brace"); }, /* * Get an argument and process it into an mList */ ProcessArg: function (name) { var arg = this.GetArgument(name); if (this.error) return; return this.Process(arg); }, /* * Get the name of a delimiter (check it in the delimiter list). */ GetDelimiter: function (name) { while (this.nextIsSpace()) {this.i++} var c = this.string.charAt(this.i); if (this.i < this.string.length) { this.i++; if (c == this.cmd) {c = '\\'+this.GetCommand(name); if (this.error) return} if (this.delimiter[c] != null) {return this.delimiter[c]} } this.Error("Missing or unrecognized delimiter for "+name); }, /* * Get a dimension (including its units). * Convert the dimen to em's, except for mu's, which must be * converted when typeset. */ GetDimen: function (name,nomu) { var rest = this.string.slice(this.i); var match = rest.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|px)/); if (!match) {this.Error("Missing dimension or its units for "+name); return} this.i += match[0].length; if (this.nextIsSpace()) {this.i++} var d = match[1]-0; if (match[4] == 'px') {d /= jsMath.em} else if (match[4] == 'pt') {d /= 10} else if (match[4] == 'ex') {d *= jsMath.TeX.x_height} else if (match[4] == 'mu') {if (nomu) {d = d/18} else {d = [d,'mu']}} return d; }, /* * Get the next non-space character */ GetNext: function () { while (this.nextIsSpace()) {this.i++} return this.string.charAt(this.i); }, /* * Get an optional LaTeX argument in brackets */ GetBrackets: function (name) { var c = this.GetNext(); if (c != '[') return ''; var start = ++this.i; var pcount = 0; while (this.i < this.string.length) { var c = this.string.charAt(this.i++); if (c == '{') {pcount++} else if (c == '}') { if (pcount == 0) {this.Error("Extra close brace while looking for ']'"); return} pcount --; } else if (c == this.cmd) { this.i++; } else if (c == ']') { if (pcount == 0) {return this.string.slice(start,this.i-1)} } } this.Error("Couldn't find closing ']' for argument to "+this.cmd+name); }, /* * Get everything up to the given control sequence name (token) */ GetUpto: function (name,token) { while (this.nextIsSpace()) {this.i++} var start = this.i; var pcount = 0; while (this.i < this.string.length) { var c = this.string.charAt(this.i++); if (c == '{') {pcount++} else if (c == '}') { if (pcount == 0) {this.Error("Extra close brace while looking for "+this.cmd+token); return} pcount --; } else if (c == this.cmd) { // really need separate counter for begin/end // and it should really be a stack (new pcount for each begin) if (this.string.slice(this.i,this.i+5) == "begin") {pcount++; this.i+=4} else if (this.string.slice(this.i,this.i+3) == "end") { if (pcount > 0) {pcount--; this.i += 2} } if (pcount == 0) { if (this.string.slice(this.i,this.i+token.length) == token) { c = this.string.charAt(this.i+token.length); if (c.match(/[^a-z]/i) || !token.match(/[a-z]/i)) { var arg = this.string.slice(start,this.i-1); this.i += token.length; return arg; } } } this.i++; } } this.Error("Couldn't find "+this.cmd+token+" for "+name); }, /* * Get a parameter delimited by a control sequence, and * process it to get its mlist */ ProcessUpto: function (name,token) { var arg = this.GetUpto(name,token); if (this.error) return; return this.Process(arg); }, /* * Get everything up to \end{env} */ GetEnd: function (env) { var body = ''; var name = ''; while (name != env) { body += this.GetUpto('begin{'+env+'}','end'); if (this.error) return; name = this.GetArgument(this.cmd+'end'); if (this.error) return; } return body; }, /***************************************************************************/ /* * Ignore spaces */ Space: function () {}, /* * Collect together any primes and convert them to a superscript */ Prime: function (c) { var base = this.mlist.Last(); if (base == null || (!base.atom && base.type != 'box' && base.type != 'frac')) {base = this.mlist.Add(jsMath.mItem.Atom('ord',null))} if (base.sup) {this.Error("Prime causes double exponent: use braces to clarify"); return} var sup = ''; while (c == "'") {sup += '\\prime'; c = this.GetNext(); if (c == "'") {this.i++}} base.sup = this.Process(sup); }, /* * Raise or lower its parameter by a given amount * @@@ Note that this is different from TeX, which requires an \hbox @@@ * ### make this work with mu's ### */ RaiseLower: function (name) { var h = this.GetDimen(this.cmd+name,1); if (this.error) return; var box = this.ProcessArg(this.cmd+name); if (this.error) return; if (name == 'lower') {h = -h} this.mlist.Add(new jsMath.mItem('raise',{nuc: box, raise: h})); }, /* * Shift an expression to the right or left * @@@ Note that this is different from TeX, which requires a \vbox @@@ * ### make this work with mu's ### */ MoveLeftRight: function (name) { var x = this.GetDimen(this.cmd+name,1); if (this.error) return; var box = this.ProcessArg(this.cmd+name); if (this.error) return; if (name == 'moveleft') {x = -x} this.mlist.Add(jsMath.mItem.Space(x)); this.mlist.Add(jsMath.mItem.Atom('ord',box)); this.mlist.Add(jsMath.mItem.Space(-x)); }, /* * Show the argument in a particular color * ### doesn't affect horizontal rules; can we fix that? ### */ Color: function (name) { var color = this.GetArgument(this.cmd+name); if (this.error) return; // check that it looks like a color? this.AddHTML(name,['<SPAN STYLE="color: '+color+'">','</SPAN>']); }, /* * Make the argument be a link */ Href: function (name) { var href = this.GetArgument(this.cmd+name); if (this.error) return; this.AddHTML(name,['<A CLASS="mathlink" HREF="'+href+'">','</A>']); }, /* * Apply a CSS class to the argument */ Class: function (name) { var clss = this.GetArgument(this.cmd+name); if (this.error) return; this.AddHTML(name,['<SPAN CLASS="'+clss+'">','</SPAN>']); }, /* * Apply a CSS style to the argument */ Style: function (name) { var style = this.GetArgument(this.cmd+name); if (this.error) return; this.AddHTML(name,['<SPAN STYLE="'+style+'">','</SPAN>']); }, /* * Insert some raw HTML around the argument (this will not affect * the spacing or other TeX features) */ AddHTML: function (name,params) { var data = this.mlist.data; var arg = this.GetArgument(this.cmd+name); if (this.error) return; arg = jsMath.Parse(arg,data.font,data.size,data.style); if (arg.error) {this.Error(arg); return} this.mlist.Add(jsMath.mItem.HTML(params[0])); for (var i = 0; i < arg.mlist.Length(); i++) {this.mlist.Add(arg.mlist.Get(i))} this.mlist.Add(jsMath.mItem.HTML(params[1])); }, /* * Insert a unicode reference as an Ord atom. Its argument should * be the unicode code point, e.g. \unicode{8211}, or \unicode{x203F}. * You can also specify the height and depth in ems, e.g., * \unicode{8211,.6,-.3} */ Unicode: function (name) { var arg = this.GetArgument(this.cmd+name); if (this.error) return; arg = arg.split(','); arg[0] = '&#'+arg[0]+';'; if (!arg[1]) {arg[1] = 'normal'} this.mlist.Add(jsMath.mItem.TextAtom('ord',arg[0],arg[1],arg[2],arg[3])); }, /* * Implements \frac{num}{den} */ Frac: function (name) { var num = this.ProcessArg(this.cmd+name); if (this.error) return; var den = this.ProcessArg(this.cmd+name); if (this.error) return; this.mlist.Add(jsMath.mItem.Fraction('over',num,den)); }, /* * Implements \sqrt[n]{...} */ Sqrt: function (name) { var n = this.GetBrackets(this.cmd+name); if (this.error) return; var arg = this.ProcessArg(this.cmd+name); if (this.error) return; box = jsMath.mItem.Atom('radical',arg); if (this.n != '') {box.root = this.Process(n); if (this.error) return} this.mlist.Add(box); }, /* * Implements \root...\of{...} */ Root: function (name) { var n = this.ProcessUpto(this.cmd+name,'of'); if (this.error) return; var arg = this.ProcessArg(this.cmd+name); if (this.error) return; box = jsMath.mItem.Atom('radical',arg); box.root = n; this.mlist.Add(box); }, /* * Implements \mathchoice{}{}{}{} */ MathChoice: function (name) { var D = this.ProcessArg(this.cmd+name); if (this.error) return; var T = this.ProcessArg(this.cmd+name); if (this.error) return; var S = this.ProcessArg(this.cmd+name); if (this.error) return; var SS = this.ProcessArg(this.cmd+name); if (this.error) return; var box = new jsMath.mItem('choice',{D: D, T: T, S: S, SS: SS}); this.mlist.Add(new jsMath.mItem('choice',{D: D, T: T, S: S, SS: SS})); }, /* * Implements \buildrel...\over{...} */ BuildRel: function (name) { var top = this.ProcessUpto(this.cmd+name,'over'); if (this.error) return; var bot = this.ProcessArg(this.cmd+name); if (this.error) return; var op = jsMath.mItem.Atom('op',bot); op.limits = 1; op.sup = top; this.mlist.Add(op); }, /* * Create a delimiter of the type and size specified in the parameters */ MakeBig: function (name,data) { var type = data[0]; var h = data[1] * jsMath.p_height; var delim = this.GetDelimiter(this.cmd+name); if (this.error) return; this.mlist.Add(jsMath.mItem.Atom(type,jsMath.Box.Delimiter(h,delim,'T'))); }, /* * Insert the specified character in the given font. */ Char: function (name) { var font = this.GetArgument(this.cmd+name); if (this.error) return; var n = this.GetArgument(this.cmd+name); if (this.error) return; this.mlist.Add(jsMath.mItem.Typeset(jsMath.Box.TeX(n-0,font,'T',this.mlist.data.size))); return; }, /* * Create an array or matrix. */ Matrix: function (name,delim) { var data = this.mlist.data; var arg = this.GetArgument(this.cmd+name); if (this.error) return; var parse = new jsMath.Parser(arg+'\\\\',null,data.size); parse.matrix = name; parse.row = []; parse.table = []; parse.Parse(); if (parse.error) {this.Error(parse); return} parse.HandleRow(name,1); // be sure the last row is recorded var box = jsMath.Box.Layout(data.size,parse.table,delim[2]); // Add parentheses, if needed if (delim[0] && delim[1]) { var left = jsMath.Box.Delimiter(box.h+box.d,this.delimiter[delim[0]],'T'); var right = jsMath.Box.Delimiter(box.h+box.d,this.delimiter[delim[1]],'T'); box = jsMath.Box.SetList([left,box,right],data.style,data.size); } this.mlist.Add(jsMath.mItem.Atom((delim[0]? 'inner': 'ord'),box)); }, /* * When we see an '&', try to add a matrix entry to the row data. * (Use all the data in the current mList, and then clear it) */ HandleEntry: function (name) { if (!this.matrix) {this.Error(name+" can only appear in a matrix or array"); return} if (this.mlist.data.openI != null) { var open = this.mlist.Get(this.mlist.data.openI); if (open.left) {this.Error("Missing "+this.cmd+"right")} else {this.Error("Missing close brace")} } if (this.mlist.data.overI != null) {this.mlist.Over()} var data = this.mlist.data; this.mlist.Atomize('T',data.size); var box = this.mlist.Typeset('T',data.size); this.row[this.row.length] = box; this.mlist = new jsMath.mList(null,null,data.size); }, /* * When we see a \cr or \\, try to add a row to the table */ HandleRow: function (name,last) { if (!this.matrix) {this.Error(this.cmd+name+" can only appear in a matrix or array"); return} this.HandleEntry(name); if (!last || this.row.length > 1 || this.row[0].format != 'null') {this.table[this.table.length] = this.row} this.row = []; }, /* * LaTeX array environment */ Array: function (name,delim) { var columns = delim[2]; var cspacing = delim[3]; if (!columns) { columns = this.GetArgument(this.cmd+'begin{'+name+'}'); if (this.error) return; } columns = columns.replace(/[^clr]/g,''); columns = columns.split(''); var data = this.mlist.data; var arg = this.GetEnd(name); if (this.error) return; var parse = new jsMath.Parser(arg+'\\\\',null,data.size); parse.matrix = name; parse.row = []; parse.table = []; parse.Parse(); if (parse.error) {this.Error(parse); return} parse.HandleRow(name,1); // be sure the last row is recorded var box = jsMath.Box.Layout(data.size,parse.table,columns,cspacing); // Add parentheses, if needed if (delim[0] && delim[1]) { var left = jsMath.Box.Delimiter(box.h+box.d,this.delimiter[delim[0]],'T'); var right = jsMath.Box.Delimiter(box.h+box.d,this.delimiter[delim[1]],'T'); box = jsMath.Box.SetList([left,box,right],data.style,data.size); } this.mlist.Add(jsMath.mItem.Atom((delim[0]? 'inner': 'ord'),box)); }, /* * LaTeX \begin{env} */ Begin: function (name) { var env = this.GetArgument(this.cmd+name); if (this.error) return; if (env.match(/[^a-z*]/i)) {this.Error('Invalid environment name "'+env+'"'); return} if (!this.environments[env]) {this.Error('Unknown environment "'+env+'"'); return} var cmd = this.environments[env]; if (typeof(cmd) == "string") {cmd = [cmd]} this[cmd[0]](env,cmd.slice(1)); }, /* * LaTeX \end{env} */ End: function (name) { var env = this.GetArgument(this.cmd+name); if (this.error) return; this.Error(this.cmd+name+'{'+env+'} without matching '+this.cmd+'begin'); }, /* * Debugging routine to test stretchable delimiters */ Test: function () { var delim = this.GetDelimiter(this.cmd+'test'); if (this.error) return; var H = this.GetArgument(this.cmd+'test'); if (this.error) return; this.mlist.Add(jsMath.mItem.Typeset(jsMath.Box.Delimiter(H,delim,'T'))); return; var leader = this.GetArgument(this.cmd+'test'); if (this.error) return; var W = this.GetArgument(this.cmd+'test'); if (this.error) return; if (this.leaders[leader] == null) {this.Error('Unknown leaders "'+leader+'"'); return} this.mlist.Add(jsMath.mItem.Typeset(jsMath.Box.Leaders(W,this.leaders[leader]))); return; }, /* * Add a fixed amount of horizontal space */ Spacer: function (name,w) { this.mlist.Add(jsMath.mItem.Space(w-0)); }, /* * Add horizontal space given by the argument */ Hskip: function (name) { var w = this.GetDimen(this.cmd+name); if (this.error) return; this.mlist.Add(jsMath.mItem.Space(w)); }, /* * Typeset the argument as plain text rather than math. */ HBox: function (name) { var text = this.GetArgument(this.cmd+name); if (this.error) return; var box = jsMath.Box.InternalMath(text,this.mlist.data.size); this.mlist.Add(jsMath.mItem.Typeset(box)); }, /* * Implement \fbox{...} */ FBox: function (name) { var text = this.GetArgument(this.cmd+name); if (this.error) return; var arg = jsMath.Box.InternalMath(text,this.mlist.data.size); var f = 0.25 * jsMath.sizes[this.mlist.data.size]/100; var box = jsMath.Box.Set(arg,this.mlist.data.style,this.mlist.data.size,1).Remeasured(); var frame = jsMath.HTML.Frame(-f,-box.d-f,box.w+2*f,box.h+box.d+2*f); box.html = frame + box.html + jsMath.HTML.Spacer(f); box.h += f; box.d += f; box.w +=2*f; box.x += f; box.bh = Math.max(box.bh,box.h); box.bd = Math.max(box.bd,box.d); this.mlist.Add(jsMath.mItem.Atom('ord',box)); }, /* * Insert a rule of a particular width, height and depth * This replaces \hrule and \vrule * @@@ not a standard TeX command, and all three parameters must be given @@@ */ Rule: function (name,gif) { var w = this.GetDimen(this.cmd+name,1); if (this.error) return; var h = this.GetDimen(this.cmd+name,1); if (this.error) return; var d = this.GetDimen(this.cmd+name,1); if (this.error) return; h += d; if (h != 0) {h = Math.max(1.05/jsMath.em,h)} if (h == 0 || w == 0) {gif = "blank"} var html = '<IMG SRC="'+jsMath[gif]+'" STYLE="height: '+jsMath.HTML.Em(h)+'; ' + 'width: '+jsMath.HTML.Em(w)+'">'; if (d) { html = '<SPAN STYLE="vertical-align:'+jsMath.HTML.Em(-d)+'">' + html + '</SPAN>'; } this.mlist.Add(jsMath.mItem.Typeset(new jsMath.Box('html',html,w,h-d,d))); }, /* * Inserts an empty box of a specific height and depth */ Strut: function () { var size = this.mlist.data.size; var box = jsMath.Box.Text('','normal','T',size).Styled(); box.bh = box.bd = 0; box.h = .8; box.d = .3; box.w = 0; this.mlist.Add(jsMath.mItem.Typeset(box)); }, /* * Handles \phantom, \vphantom and \hphantom */ Phantom: function (name,data) { var arg = this.ProcessArg(this.cmd+name); if (this.error) return; this.mlist.Add(new jsMath.mItem('phantom',{phantom: arg, v: data[0], h: data[1]})); }, /* * Implements \smash */ Smash: function (name,data) { var arg = this.ProcessArg(this.cmd+name); if (this.error) return; this.mlist.Add(new jsMath.mItem('smash',{smash: arg})); }, /* * Puts an accent on the following argument */ MathAccent: function (name,accent) { var c = this.ProcessArg(this.cmd+name); if (this.error) return; var atom = jsMath.mItem.Atom('accent',c); atom.accent = accent[0]; this.mlist.Add(atom); }, /* * Handles functions and operators like sin, cos, sum, etc. */ NamedOp: function (name,data) { var a = (name.match(/[^acegm-su-z]/)) ? 1: 0; var d = (name.match(/[gjpqy]/)) ? 1: 0; if (data[1]) {name = data[1]} var box = jsMath.mItem.TextAtom('op',name,'cmr10',a,d); if (data[0] != null) {box.limits = data[0]} this.mlist.Add(box); }, /* * Implements \limits */ Limits: function (name,data) { var atom = this.mlist.Last(); if (!atom || atom.type != 'op') {this.Error(this.cmd+name+" is allowed only on operators"); return} atom.limits = data[0]; }, /* * Implements macros like those created by \def. The named control * sequence is replaced by the string given as the first data value. * If there is a second data value, this specifies how many arguments * the macro uses, and in this case, those arguments are substituted * for #1, #2, etc. within the replacement string. * * See the jsMath.Macro() command below for more details. */ Macro: function (name,data) { var text = data[0] if (data[1]) { var args = []; for (var i = 0; i < data[1]; i++) {args[args.length] = this.GetArgument(this.cmd+name); if (this.error) return} text = ''; var c; var i = 0; while (i < data[0].length) { c = data[0].charAt(i++); if (c == '\\') {text += c + data[0].charAt(i++)} else if (c == '#') { c = data[0].charAt(i++); if (c == "#") {text += c} else { if (!c.match(/[1-9]/) || c > args.length) {this.Error("Illegal macro argument reference"); return} text += args[c-1]; } } else {text += c} } } this.string = text + this.string.slice(this.i); this.i = 0; }, /* * Replace the control sequence with the given text */ Replace: function (name,data) { this.mlist.Add(jsMath.mItem.TextAtom(data[0],data[1],data[2],data[3])); }, /* * Implements \overbrace, \underbrace, etc. */ HandleLeaders: function (name,data) { var box = this.ProcessArg(this.cmd+name); if (this.error) return; box = jsMath.Box.Set(box,'D',this.mlist.data.size).Remeasured(); var leader = jsMath.Box.Leaders(box.w,this.leaders[data[0]]); if (data[2]) {leader.y = -leader.h - box.d} else {leader.y = box.h + leader.d} leader.x = -(leader.w + box.w)/2; box = jsMath.mItem.Atom(data[1]? 'op': 'inner', jsMath.Box.SetList([box,leader],'T',this.mlist.data.size)); box.limits = (data[1]? 1: 0); this.mlist.Add(box); }, /* * Implements \llap, \rlap, etc. */ HandleLap: function (name) { var box = this.ProcessArg(); if (this.error) return; box = this.mlist.Add(new jsMath.mItem('lap',{nuc: box, lap: name})); }, /* * Adds the argument as a specific type of atom (for commands like * \overline, etc.) */ HandleAtom: function (name,data) { var arg = this.ProcessArg(this.cmd+name); if (this.error) return; this.mlist.Add(jsMath.mItem.Atom(data,arg)); }, /* * Process the character associated with a specific \mathcharcode */ HandleMathCode: function (name,code) { var type = (code & 0xF000) >> 12; var font = (code & 0x0F00) >> 8; var code = code & 0x00FF; this.HandleTeXchar(type,font,code); }, /* * Add a specific character from a TeX font (use the current * font if the type is 7 (variable) or the font is not specified) */ HandleTeXchar: function (type,font,code) { if (type == 7 && this.mlist.data.font != null) {font = this.mlist.data.font} font = jsMath.TeX.fam[font]; this.mlist.Add(jsMath.mItem.TeXAtom(jsMath.TeX.atom[type],code,font)); }, /* * Add a TeX variable character or number */ HandleVariable: function (c) {this.HandleTeXchar(7,1,c.charCodeAt(0))}, HandleNumber: function (c) {this.HandleTeXchar(7,0,c.charCodeAt(0))}, /* * For unmapped characters, just add them in as normal * (non-TeX) characters */ HandleOther: function (c) { this.mlist.Add(jsMath.mItem.TextAtom('ord',c,'normal')); }, /* * Ignore comments in TeX data * ### Some browsers remove the newlines, so this might cause * extra stuff to be ignored; look into this ### */ HandleComment: function () { var c; while (this.i < this.string.length) { c = this.string.charAt(this.i++); if (c == "\r" || c == "\n") return; } }, /* * Add a style change (e.g., \displaystyle, etc) */ HandleStyle: function (name,style) { this.mlist.data.style = style[0]; this.mlist.Add(new jsMath.mItem('style',{style: style[0]})); }, /* * Implements \small, \large, etc. */ HandleSize: function (name,size) { this.mlist.data.size = size[0]; this.mlist.Add(new jsMath.mItem('size',{size: size[0]})); }, /* * Set the current font (e.g., \rm, etc) */ HandleFont: function (name,font) { this.mlist.data.font = font[0]; }, /* * Look for and process a control sequence */ HandleCS: function () { var cmd = this.GetCommand(); if (this.error) return; if (this.macros[cmd]) { var macro = this.macros[cmd]; if (typeof(macro) == "string") {macro = [macro]} this[macro[0]](cmd,macro.slice(1)); return; } if (this.mathchardef[cmd]) { this.HandleMathCode(cmd,this.mathchardef[cmd]); return; } if (this.delimiter[this.cmd+cmd]) { this.HandleMathCode(cmd,this.delimiter[this.cmd+cmd]>>12) return; } this.Error("Unknown control sequence '"+this.cmd+cmd+"'"); }, /* * Process open and close braces */ HandleOpen: function () {this.mlist.Open()}, HandleClose: function () { if (this.mlist.data.openI == null) {this.Error("Extra close brace"); return} var open = this.mlist.Get(this.mlist.data.openI); if (!open || open.left == null) {this.mlist.Close()} else {this.Error("Extra close brace or missing "+this.cmd+"right"); return} }, /* * Implements \left */ HandleLeft: function (name) { var left = this.GetDelimiter(this.cmd+name); if (this.error) return; this.mlist.Open(left); }, /* * Implements \right */ HandleRight: function (name) { var right = this.GetDelimiter(this.cmd+name); if (this.error) return; var open = this.mlist.Get(this.mlist.data.openI); if (open && open.left != null) {this.mlist.Close(right)} else {this.Error("Extra open brace or missing "+this.cmd+"left");} }, /* * Implements generalized fractions (\over, \above, etc.) */ HandleOver: function (name,data) { if (this.mlist.data.overI != null) {this.Error('Ambiguous use of '+this.cmd+name); return} this.mlist.data.overI = this.mlist.Length(); this.mlist.data.overF = {name: name}; if (data.length > 0) { this.mlist.data.overF.left = this.delimiter[data[0]]; this.mlist.data.overF.right = this.delimiter[data[1]]; } else if (name.match(/withdelims$/)) { this.mlist.data.overF.left = this.GetDelimiter(this.cmd+name); if (this.error) return; this.mlist.data.overF.right = this.GetDelimiter(this.cmd+name); if (this.error) return; } if (name.match(/^above/)) { this.mlist.data.overF.thickness = this.GetDimen(this.cmd.name,1); if (this.error) return; } }, /* * Add a superscript to the preceeding atom */ HandleSuperscript: function () { var base = this.mlist.Last(); if (base == null || (!base.atom && base.type != 'box' && base.type != 'frac')) {base = this.mlist.Add(jsMath.mItem.Atom('ord',null))} if (base.sup) {this.Error("Double exponent: use braces to clarify"); return} base.sup = this.ProcessArg('superscript'); if (this.error) return; }, /* * Adda subscript to the preceeding atom */ HandleSubscript: function () { var base = this.mlist.Last(); if (base == null || (!base.atom && base.type != 'box' && base.type != 'frac')) {base = this.mlist.Add(jsMath.mItem.Atom('ord',null))} if (base.sub) {this.Error("Double subscripts: use braces to clarify"); return} base.sub = this.ProcessArg('subscript'); if (this.error) return; }, /* * Parse a TeX math string, handling macros, etc. */ Parse: function () { var c; while (this.i < this.string.length) { c = this.string.charAt(this.i++); if (this.mathchar[c]) {this.HandleMathCode(c,this.mathchar[c])} else if (this.special[c]) {this[this.special[c]](c)} else if (this.letter.test(c)) {this.HandleVariable(c)} else if (this.number.test(c)) {this.HandleNumber(c)} else {this.HandleOther(c)} } if (this.mlist.data.openI != null) { var open = this.mlist.Get(this.mlist.data.openI); if (open.left) {this.Error("Missing "+this.cmd+"right")} else {this.Error("Missing close brace")} } if (this.mlist.data.overI != null) {this.mlist.Over()} }, /* * Perform the processing of Appendix G */ Atomize: function () { var data = this.mlist.init; if (!this.error) this.mlist.Atomize(data.style,data.size) }, /* * Produce the final HTML. * * We have to wrap the HTML it appropriate <SPAN> tags to hide its * actual dimensions when these don't match the TeX dimensions of the * results. We also include an image to force the results to take up * the right amount of space. The results may need to be vertically * adjusted to make the baseline appear in the correct place. * * This is where the touchiest browser-dependent code appears. */ Typeset: function () { var data = this.mlist.init; var box = this.typeset = this.mlist.Typeset(data.style,data.size); if (this.error) {return '<SPAN CLASS="error">'+this.error+'</SPAN>'} if (box.format == 'null') {return ''}; var rules = ''; var html box.Styled().Remeasured(); var isSmall = 0; var isBig = 0; var w = box.w; var h = box.bh; var d = box.bd; if (box.bh > box.h && box.bh > jsMath.h+.001) {isSmall = 1} if (box.bd > box.d && box.bd > jsMath.d+.001) {isSmall = 1} if (box.h > jsMath.h) {isBig = 1; h = box.h} if (box.d > jsMath.d) {isBig = 1; d = box.d} if (jsMath.show.BBox) {rules += jsMath.HTML.Frame(0,-box.d,w,box.h+box.d,'green')} if (jsMath.show.Top) {rules += jsMath.HTML.Line(0,box.h,w,'red')} if (jsMath.show.Baseline) {rules += jsMath.HTML.Line(0,0,w,'blue')} html = box.html; if (isSmall) {// hide the extra size if (jsMath.allowAbsolute) { var y = jsMath.absoluteOffsetY; if (jsMath.absoluteHeightVaries || box.bh > jsMath.h+.001) {y += (jsMath.h - box.bh)} html = jsMath.HTML.Absolute(html,w,jsMath.h,0,y,jsMath.h); isBig = 1; h = box.h; d = box.d; } else {// remove line height and try to hide the depth var dy = jsMath.HTML.Em(Math.max(0,box.bd-jsMath.hd)/3); html = '<SPAN STYLE="line-height: 0;' + ' position: relative; top: '+dy+'; vertical-align: '+dy + '">' + html + '</SPAN>'; } } html = '<NOBR>' + rules + html; if (isBig) {// add height and depth to the line (force a little // extra to separate lines if needed) html += '<IMG SRC="'+jsMath.blank+'" CLASS="mathHD" ' + 'STYLE="height: '+jsMath.HTML.Em(h+d+.2)+'; ' + 'vertical-align: '+jsMath.HTML.Em(-d-.1)+';">' } html += '<NOBR>' return html; } }); /* * Make these characters special (and call the given routines) */ jsMath.Parser.prototype.AddSpecial({ cmd: 'HandleCS', open: 'HandleOpen', close: 'HandleClose' }); /* * The web-page author can call jsMath.Macro to create additional * TeX macros for use within his or her mathematics. jsMath.Macro * has two required and one optional parameter. The first parameter * is the control sequence name that will trigger the macro, and the * second is the replacement string for that control sequence. * NOTE: since the backslash (\) has special meaning in JavaScript, * you must double the backslash in order to include control sequences * within your replacement string. E.g., * * <SCRIPT> jsMath.Macro('R','{\\rm R}') </SCRIPT> * * would make \R produce a bold-faced R. * * The optional parameter tells how many arguments the macro * requires. These are substituted for #1, #2, etc. within the * replacement string of the macro. For example * * <SCRIPT> jsMath.Macro('x','{\vec x}_{#1}',1) </SCRIPT> * * would make \x1 produce {\vec x}_{1} and \x{i+1} produce {\vec x}_{i+1}. * * You can put several jsMath.Macro calls together into one .js file, and * then include that into your web page using a command of the form * * <SCRIPT SRC="..."></SCRIPT> * * in your main HTML page. This way you can include the same macros * into several web pages, for example. */ jsMath.Add(jsMath,{ Macro: function (name) { var macro = jsMath.Parser.prototype.macros; macro[name] = ['Macro']; for (var i = 1; i < arguments.length; i++) {macro[name][macro[name].length] = arguments[i]} } }); /***************************************************************************/ /* * These routines look through the web page for math elements to process. * There are two main entry points you can call: * * <SCRIPT> jsMath.Process() </SCRIPT> * or * <SCRIPT> jsMath.ProcessBeforeShowing() </SCRIPT> * * The first will process the page asynchronously (so the user can start * reading the top of the file while jsMath is still processing the bottom) * while the second does not update until all the mathematics is typeset. */ jsMath.Add(jsMath,{ /* * Typeset a string in \textstyle and return the HTML for it */ TextMode: function (s) { var parse = jsMath.Parse(s,null,null,'T'); parse.Atomize(); var html = parse.Typeset(); return html; }, /* * Typeset a string in \displaystyle and return the HTML for it * ### need to give more control over whether to center, etc. ### */ DisplayMode: function (s) { var parse = jsMath.Parse(s,null,null,'D'); parse.Atomize(); var html = parse.Typeset(); return html; }, /* * Return the text of a given DOM element */ GetElementText: function (element) { var text = element.innerText; if (text == null) { text = element.textContent; if (text == null) { text = element.innerHTML; } } if (text.search('&')) { text = text.replace(/</g,'<'); text = text.replace(/>/g,'>'); text = text.replace(/"/g,'"'); text = text.replace(/&/g,'&'); } return text; }, /* * Typeset the contents of an element in \textstyle */ ConvertText: function (element) { var text = this.GetElementText(element); element.innerHTML = this.TextMode(text); element.className = 'typeset'; }, /* * Typeset the contents of an element in \displaystyle */ ConvertDisplay: function (element) { var text = this.GetElementText(element); element.innerHTML = this.DisplayMode(text); element.className = 'typeset'; }, /* * Call this at the bottom of your HTML page to have the * mathematics typeset before the page is displayed. * This can take a long time, so the user could cancel the * page before it is complete; use it with caution, and only * when there is a relatively small amount of math on the page. */ ProcessBeforeShowing: function () { if (!jsMath.initialized) {jsMath.Init()} var element = jsMath.GetMathElements(); for (var i = 0; i < element.length; i++) {jsMath.ProcessElement(element[i])} jsMath.ProcessComplete(); }, /* * Process a math element */ ProcessElement: function (element) { window.status = 'Processing Math...'; if (element.tagName == 'DIV') { this.ConvertDisplay(element); } else if (element.tagName == 'SPAN') { this.ConvertText(element); } }, /* * Asynchronously process all the math elements starting with * the k-th one */ ProcessElements: function (k) { if (k >= this.element.length) { this.ProcessComplete(); } else { this.ProcessElement(this.element[k]) setTimeout('jsMath.ProcessElements('+(k+1)+')',jsMath.delay); } }, /* * Call this at the bottom of your HTML page to have the * mathematics typeset asynchronously. This lets the user * start reading the mathematics while the rest of the page * is being processed. */ Process: function () { if (!jsMath.initialized) {jsMath.Init()} this.element = this.GetMathElements(); window.status = 'Processing Math...'; setTimeout('jsMath.ProcessElements(0)',jsMath.delay); }, element: [], // the list of math elements on the page /* * Look up all the math elements on the page and * put them in a list sorted from top to bottom of the page */ GetMathElements: function () { var element = []; var math = document.getElementsByTagName('DIV'); for (var k = 0; k < math.length; k++) { if (math[k].className == 'math') { if (jsMath.renameOK) {math[k].setAttribute('NAME','_jsMath_')} else {element[element.length] = math[k]} } } math = document.getElementsByTagName('SPAN'); for (var k = 0; k < math.length; k++) { if (math[k].className == 'math') { if (jsMath.renameOK) {math[k].setAttribute('NAME','_jsMath_')} else {element[element.length] = math[k]} } } // this gets the SPAN and DIV elements interleaved in order if (jsMath.renameOK) { element = document.getElementsByName('_jsMath_') } else if (jsMath.hidden.sourceIndex) { element.sort(function (a,b) {return a.sourceIndex - b.sourceIndex}); } return element; }, /* * Remove the window message about processing math * and clean up any marked <SPAN> or <DIV> tags */ ProcessComplete: function () { if (jsMath.renameOK) { var element = document.getElementsByName('_jsMath_'); for (var i = element.length-1; i >= 0; i--) { element[i].removeAttribute('NAME'); } } jsMath.element = []; window.status = 'Done'; } }); /***************************************************************************/ /* * We use a hidden <DIV> for measuring the BBoxes of things */ jsMath.hidden = '<DIV CLASS="normal" ID="jsMath.Hidden" ' + 'STYLE="position:absolute; top:0 left:0;"></DIV>'; if (document.body.insertAdjacentHTML) { document.body.insertAdjacentHTML('AfterBegin',jsMath.hidden); } else { document.write(jsMath.hidden); } jsMath.hidden = document.getElementById("jsMath.Hidden"); /* * Initialize everything */ jsMath.InitSource(); jsMath.InitBrowser(); jsMath.InitStyles(); //make sure browser-specific loads are done before this document.write('<SCRIPT>jsMath.CheckFonts()</SCRIPT>'); } }