for measuring the BBoxes of things
+ */
+ Hidden: function () {
+ jsMath.hidden = this.DIV("Hidden",{
+ visibility: 'hidden', position:"absolute",
+ top:0, left:0, border:0, padding:0, margin:0
+ });
+ jsMath.hiddenTop = jsMath.hidden;
+ return;
+ },
+
+ /*
+ * Find the root URL for the jsMath files (so we can load
+ * the other .js and .gif files)
+ */
+ Source: function () {
+ if (jsMath.Autoload && jsMath.Autoload.root) {
+ jsMath.root = jsMath.Autoload.root;
+ } else {
+ jsMath.root = '';
+ var script = jsMath.document.getElementsByTagName('script');
+ if (script) {
+ for (var i = 0; i < script.length; i++) {
+ var src = script[i].src;
+ if (src && src.match('(^|/|\\\\)jsMath.js$')) {
+ jsMath.root = src.replace(/jsMath.js$/,'');
+ break;
+ }
+ }
+ }
+ }
+ if (jsMath.root.charAt(0) == '\\') {jsMath.root = jsMath.root.replace(/\\/g,'/')}
+ if (jsMath.root.charAt(0) == '/') {
+ if (jsMath.root.charAt(1) != '/')
+ {jsMath.root = '//' + jsMath.document.location.host + jsMath.root}
+ jsMath.root = jsMath.document.location.protocol + jsMath.root;
+ } else if (!jsMath.root.match(/^[a-z]+:/i)) {
+ var src = new String(jsMath.document.location);
+ var pattern = new RegExp('/[^/]*/\\.\\./')
+ jsMath.root = src.replace(new RegExp('[^/]*$'),'') + jsMath.root;
+ while (jsMath.root.match(pattern))
+ {jsMath.root = jsMath.root.replace(pattern,'/')}
+ }
+ jsMath.Img.root = jsMath.root + "fonts/";
+ jsMath.blank = jsMath.root + "blank.gif";
+ this.Domain();
+ },
+
+ /*
+ * Find the most restricted common domain for the main
+ * page and jsMath. Report an error if jsMath is outside
+ * the domain of the calling page.
+ */
+ Domain: function () {
+ try {jsMath.document.domain} catch (err) {return}
+ var jsDomain = ''; var pageDomain = jsMath.document.domain;
+ if (jsMath.root.match('://([^/]*)/')) {jsDomain = RegExp.$1}
+ jsDomain = jsDomain.replace(/:\d+$/,'');
+ if (jsDomain == "" || jsDomain == pageDomain) return;
+ //
+ // MSIE on the Mac can't change jsMath.document.domain and 'try' won't
+ // catch the error (Grrr!), so exit for them.
+ //
+ if (navigator.appName == 'Microsoft Internet Explorer' &&
+ jsMath.platform == 'mac' && navigator.onLine &&
+ navigator.userProfile && jsMath.document.all) return;
+ jsDomain = jsDomain.split(/\./); pageDomain = pageDomain.split(/\./);
+ if (jsDomain.length < 2 || pageDomain.length < 2 ||
+ jsDomain[jsDomain.length-1] != pageDomain[pageDomain.length-1] ||
+ jsDomain[jsDomain.length-2] != pageDomain[pageDomain.length-2]) {
+ this.DomainWarning();
+ return;
+ }
+ var domain = jsDomain[jsDomain.length-2] + '.' + jsDomain[jsDomain.length-1];
+ for (var i = 3; i <= jsDomain.length && i <= pageDomain.length; i++) {
+ if (jsDomain[jsDomain.length-i] != pageDomain[pageDomain.length-i]) break;
+ domain = jsDomain[jsDomain.length-i] + '.' + domain;
+ }
+ jsMath.document.domain = domain;
+ this.domainChanged = 1;
+ },
+
+ DomainWarning: function () {
+ alert("In order for jsMath to be able to load the additional "
+ + "components that it may need, the jsMath.js file must be "
+ + "loaded from a server in the same domain as the page that "
+ + "contains it. Because that is not the case for this page, "
+ + "the mathematics displayed here may not appear correctly.");
+ },
+
+ /*
+ * Initialize a font's encoding array
+ */
+ EncodeFont: function (name) {
+ var font = jsMath.TeX[name];
+ if (font[0].c != null) return;
+ for (var k = 0; k < 128; k++) {
+ var data = font[k]; font[k] = data[3];
+ if (font[k] == null) {font[k] = {}};
+ font[k].w = data[0]; font[k].h = data[1];
+ if (data[2] != null) {font[k].d = data[2]}
+ font[k].c = jsMath.TeX.encoding[k];
+ }
+ },
+
+ /*
+ * Initialize the encodings for all fonts
+ */
+ Fonts: function () {
+ for (var i = 0; i < jsMath.TeX.fam.length; i++) {
+ var name = jsMath.TeX.fam[i];
+ if (name) {this.EncodeFont(name)}
+ }
+ },
+
+ /*
+ * Look up the default height and depth for a TeX font
+ * and set the skewchar
+ */
+ TeXfont: function (name) {
+ var font = jsMath.TeX[name]; if (font == null) return;
+ font.hd = jsMath.EmBoxFor('
'+font[65].c+'').h;
+ font.d = jsMath.EmBoxFor('
'+font[65].c+jsMath.HTML.Strut(font.hd)+'').h - font.hd;
+ font.h = font.hd - font.d;
+ if (name == 'cmmi10') {font.skewchar = 0177}
+ else if (name == 'cmsy10') {font.skewchar = 060}
+ },
+
+ /*
+ * Init all the TeX fonts
+ */
+ TeXfonts: function () {
+ for (var i = 0; i < jsMath.TeX.fam.length; i++)
+ {if (jsMath.TeX.fam[i]) {this.TeXfont(jsMath.TeX.fam[i])}}
+ },
+
+ /*
+ * Compute font parameters for various sizes
+ */
+ Sizes: function () {
+ jsMath.TeXparams = []; var i; var j;
+ for (j=0; j < jsMath.sizes.length; j++) {jsMath.TeXparams[j] = {}}
+ for (i in jsMath.TeX) {
+ if (typeof(jsMath.TeX[i]) != 'object') {
+ for (j=0; j < jsMath.sizes.length; j++) {
+ jsMath.TeXparams[j][i] = jsMath.sizes[j]*jsMath.TeX[i]/100;
+ }
+ }
+ }
+ },
+
+ /*
+ * Send the style definitions to the browser (these may be adjusted
+ * by the browser-specific code)
+ */
+ Styles: function (styles) {
+ if (!styles) {
+ styles = jsMath.styles;
+ styles['.typeset .scale'] = {'font-size': jsMath.Controls.cookie.scale+'%'};
+ this.stylesReady = 1;
+ }
+ jsMath.Script.Push(this,'AddStyleSheet',styles);
+ if (jsMath.Browser.styleChangeDelay) {jsMath.Script.Push(jsMath.Script,'Delay',1)}
+ },
+
+ /*
+ * Make a style string from a hash of style definitions, which are
+ * either strings themselves or hashes of style settings.
+ */
+ StyleString: function (styles) {
+ var styleString = {}, id;
+ for (id in styles) {
+ if (typeof styles[id] === 'string') {
+ styleString[id] = styles[id];
+ } else if (id.substr(0,1) === '@') {
+ styleString[id] = this.StyleString(styles[id]);
+ } else if (styles[id] != null) {
+ var style = [];
+ for (var name in styles[id]) {
+ if (styles[id][name] != null)
+ {style[style.length] = name + ': ' + styles[id][name]}
+ }
+ styleString[id] = style.join('; ');
+ }
+ }
+ var string = '';
+ for (id in styleString) {string += id + " {"+styleString[id]+"}\n"}
+ return string;
+ },
+
+ AddStyleSheet: function (styles) {
+ var head = jsMath.document.getElementsByTagName('head')[0];
+ if (head) {
+ var string = this.StyleString(styles);
+ if (jsMath.document.createStyleSheet) {// check for MSIE
+ head.insertAdjacentHTML('beforeEnd',
+ '
x' // MSIE needs this for some reason
+ + '');
+ } else {
+ var style = jsMath.document.createElement('style'); style.type = "text/css";
+ style.appendChild(jsMath.document.createTextNode(string));
+ head.appendChild(style);
+ }
+ } else if (!jsMath.noHEAD) {
+ jsMath.noHEAD = 1;
+ alert("Document is missing its section. Style sheet can't be created without it.");
+ }
+ },
+
+ /*
+ * Do the initialization that requires the to be in place.
+ */
+ Body: function () {
+ if (this.inited) return;
+
+ this.inited = -1;
+
+ jsMath.Setup.Hidden(); this.inited = -2;
+ jsMath.Browser.Init(); this.inited = -3;
+
+ // blank screen if necessary
+ if (jsMath.Controls.cookie.blank) {jsMath.Message.Blank()}; this.inited = -4;
+
+ jsMath.Setup.Styles(); this.inited = -5;
+ jsMath.Controls.Init(); this.inited = -6;
+
+ // do user-specific initialization
+ jsMath.Script.Push(jsMath.Setup,'User','pre-font'); this.inited = -7;
+
+ // make sure browser-specific loads are done before this
+ jsMath.Script.Push(jsMath.Font,'Check');
+ if (jsMath.Font.register.length)
+ {jsMath.Script.Push(jsMath.Font,'LoadRegistered')}
+
+ this.inited = 1;
+ },
+
+ /*
+ * Web page author can override the entries to the UserEvent hash
+ * functions that will be run at various times during jsMath's setup
+ * process.
+ */
+ User: function (when) {
+ if (jsMath.Setup.UserEvent[when]) {(jsMath.Setup.UserEvent[when])()}
+ },
+
+ UserEvent: {
+ "pre-font": null, // after browser is set up but before fonts are tested
+ "onload": null // after jsMath.js is loaded and finished running
+ }
+
+};
+
+jsMath.Update = {
+
+ /*
+ * Update specific parameters for a limited number of font entries
+ */
+ TeXfonts: function (change) {
+ for (var font in change) {
+ for (var code in change[font]) {
+ for (var id in change[font][code]) {
+ jsMath.TeX[font][code][id] = change[font][code][id];
+ }
+ }
+ }
+ },
+
+ /*
+ * Update the character code for every character in a list
+ * of fonts
+ */
+ TeXfontCodes: function (change) {
+ for (var font in change) {
+ for (var i = 0; i < change[font].length; i++) {
+ jsMath.TeX[font][i].c = change[font][i];
+ }
+ }
+ }
+
+};
+
+/***************************************************************************/
+
+/*
+ * Implement browser-specific checks
+ */
+
+jsMath.Browser = {
+
+ allowAbsolute: 1, // tells if browser can nest absolutely positioned
+ // SPANs inside relative SPANs
+ allowAbsoluteDelim: 0, // OK to use absolute placement for building delims?
+ separateSkips: 0, // MSIE doesn't do negative left margins, and
+ // Netscape doesn't combine skips well
+
+ valignBug: 0, // Konqueror doesn't nest vertical-align
+ operaHiddenFix: '', // for Opera to fix bug with math in tables
+ msieCenterBugFix: '', // for MSIE centering bug with image fonts
+ msieInlineBlockFix: '', // for MSIE alignment bug in non-quirks mode
+ msieSpaceFix: '', // for MSIE to avoid dropping empty spans
+ imgScale: 1, // MSI scales images for 120dpi screens, so compensate
+
+ renameOK: 1, // tells if brower will find a tag whose name
+ // has been set via setAttributes
+ styleChangeDelay: 0, // true if style changes need a delay in order
+ // for them to be available
+
+ delay: 1, // delay for asynchronous math processing
+ processAtOnce: 16, // number of math elements to process before screen update
+
+ version: 0, // browser version number (when needed)
+
+ /*
+ * Determine if the "top" of a
is always at the same height
+ * or varies with the height of the rest of the line (MSIE).
+ */
+ TestSpanHeight: function () {
+ jsMath.hidden.innerHTML = 'x';
+ var span = jsMath.hidden.firstChild;
+ var img = span.firstChild;
+ this.spanHeightVaries = (span.offsetHeight >= img.offsetHeight && span.offsetHeight > 0);
+ this.spanHeightTooBig = (span.offsetHeight > img.offsetHeight);
+ jsMath.hidden.innerHTML = '';
+ },
+
+ /*
+ * Determine if an inline-block with 0 width is OK or not
+ * and decide whether to use spans or images for spacing
+ */
+ TestInlineBlock: function () {
+ this.block = "display:-moz-inline-box";
+ this.hasInlineBlock = jsMath.BBoxFor('').w > 0;
+ if (this.hasInlineBlock) {
+ jsMath.styles['.typeset .blank'].display = '-moz-inline-box';
+ delete jsMath.styles['.typeset .spacer'].display;
+ } else {
+ this.block = "display:inline-block";
+ this.hasInlineBlock = jsMath.BBoxFor('').w > 0;
+ if (!this.hasInlineBlock) return;
+ }
+ this.block += ';overflow:hidden';
+ var h = jsMath.BBoxFor('x').h;
+ this.mozInlineBlockBug = jsMath.BBoxFor(
+ 'x'+
+ '').h > 2*h;
+ this.widthAddsBorder = jsMath.BBoxFor('').w > 10;
+ var h1 = jsMath.BBoxFor('x').h,
+ h2 = jsMath.BBoxFor('x').h,
+ h3 = jsMath.BBoxFor('').h;
+ this.msieBlockDepthBug = (h1 == h);
+ this.msieRuleDepthBug = (h2 == h);
+ this.blankWidthBug = (h3 == 0);
+ },
+
+ /*
+ * Determine if the NAME attribute of a tag can be changed
+ * using the setAttribute function, and then be properly
+ * returned by getElementByName.
+ */
+ TestRenameOK: function () {
+ jsMath.hidden.innerHTML = '';
+ var test = jsMath.hidden.firstChild;
+ test.setAttribute('name','jsMath_test');
+ this.renameOK = (jsMath.document.getElementsByName('jsMath_test').length > 0);
+ jsMath.hidden.innerHTML = '';
+ },
+
+ /*
+ * See if style changes occur immediately, or if we need to delay
+ * in order to let them take effect.
+ */
+ TestStyleChange: function () {
+ jsMath.hidden.innerHTML = 'x';
+ var span = jsMath.hidden.firstChild;
+ var w = span.offsetWidth;
+ jsMath.Setup.AddStyleSheet({'#jsMath_test': 'font-size:200%'});
+ this.styleChangeDelay = (span.offsetWidth == w);
+ jsMath.hidden.innerHTML = '';
+ },
+
+ /*
+ * Perform a version check on a standard version string
+ */
+ VersionAtLeast: function (v) {
+ var bv = new String(this.version).split('.');
+ v = new String(v).split('.'); if (v[1] == null) {v[1] = '0'}
+ return bv[0] > v[0] || (bv[0] == v[0] && bv[1] >= v[1]);
+ },
+
+ /*
+ * Test for browser characteristics, and adjust things
+ * to overcome specific browser bugs
+ */
+ Init: function () {
+ jsMath.browser = 'unknown';
+ this.TestInlineBlock();
+ this.TestSpanHeight();
+ this.TestRenameOK();
+ this.TestStyleChange();
+
+ this.MSIE();
+ this.Mozilla();
+ this.Opera();
+ this.OmniWeb();
+ this.Safari();
+ this.Konqueror();
+
+ //
+ // 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.separateSkips) {
+ jsMath.HTML.Place = jsMath.HTML.PlaceSeparateSkips;
+ jsMath.Typeset.prototype.Place = jsMath.Typeset.prototype.PlaceSeparateSkips;
+ }
+ },
+
+ //
+ // Handle bug-filled Internet Explorer
+ //
+ MSIE: function () {
+ if (jsMath.BBoxFor("").w) {
+ jsMath.browser = 'MSIE';
+ if (jsMath.platform == 'pc') {
+ this.IE7 = (window.XMLHttpRequest != null);
+ this.IE8 = (jsMath.BBoxFor("").w > 0);
+ this.isReallyIE8 = (jsMath.document.documentMode != null);
+ this.quirks = (jsMath.document.compatMode == "BackCompat");
+ this.msieMode = (jsMath.document.documentMode || (this.quirks ? 5 : 7));
+ this.msieStandard6 = !this.quirks && !this.IE7;
+ this.allowAbsoluteDelim = 1; this.separateSkips = 1;
+ this.buttonCheck = 1; this.msieBlankBug = 1;
+ this.msieAccentBug = 1; this.msieRelativeClipBug = 1;
+ this.msieDivWidthBug = 1; this.msiePositionFixedBug = 1;
+ this.msieIntegralBug = 1; this.waitForImages = 1;
+ this.msieAlphaBug = !this.IE7; this.alphaPrintBug = !this.IE7;
+ this.msieCenterBugFix = 'position:relative; ';
+ this.msieInlineBlockFix = ' display:inline-block;';
+ this.msie8HeightBug = this.msieBBoxBug = (this.msieMode == 8);
+ this.blankWidthBug = (this.msieMode != 8);
+ this.msieSpaceFix = (this.isReallyIE8 ?
+ '' :
+ '');
+ jsMath.Macro('joinrel','\\mathrel{\\kern-5mu}'),
+ jsMath.Parser.prototype.mathchardef.mapstocharOrig = jsMath.Parser.prototype.mathchardef.mapstochar;
+ delete jsMath.Parser.prototype.mathchardef.mapstochar;
+ jsMath.Macro('mapstochar','\\rlap{\\mapstocharOrig\\,}\\kern1mu'),
+ jsMath.styles['.typeset .arial'] = {'font-family': "'Arial unicode MS'"};
+ if (!this.IE7 || this.quirks) {
+ // MSIE doesn't implement fixed positioning, so use absolute
+ jsMath.styles['#jsMath_message'].position = 'absolute';
+ delete jsMath.styles['#jsMath_message'].width;
+ jsMath.styles['#jsMath_panel'].position = 'absolute';
+ delete jsMath.styles['#jsMath_panel'].width;
+ jsMath.styles['#jsMath_button'].width = '1px';
+ jsMath.styles['#jsMath_button'].position = 'absolute'
+ delete jsMath.styles['#jsMath_button'].width;
+ jsMath.fixedDiv = jsMath.Setup.DIV("fixedDiv",{position:'absolute', zIndex: 101});
+ jsMath.window.attachEvent("onscroll",jsMath.Controls.MoveButton);
+ jsMath.window.attachEvent("onresize",jsMath.Controls.MoveButton);
+ jsMath.Controls.MoveButton();
+ }
+ // Make MSIE put borders around the whole button
+ jsMath.styles['#jsMath_noFont .link'].display = "inline-block";
+ // MSIE needs this NOT to be inline-block
+ delete jsMath.styles['.typeset .spacer'].display;
+ // MSIE can't insert DIV's into text nodes, so tex2math must use SPAN's to fake DIV's
+ jsMath.styles['.tex2math_div'] = {}; jsMath.Add(jsMath.styles['.tex2math_div'],jsMath.styles['div.typeset']);
+ jsMath.styles['.tex2math_div'].width = '100%';
+ jsMath.styles['.tex2math_div'].display = 'inline-block';
+ // Reduce occurrance of zoom bug in IE7
+ jsMath.styles['.typeset']['letter-spacing'] = '0';
+ // MSIE will rescale images if the DPIs differ
+ if (screen.deviceXDPI && screen.logicalXDPI
+ && screen.deviceXDPI != screen.logicalXDPI) {
+ this.imgScale *= screen.logicalXDPI/screen.deviceXDPI;
+ jsMath.Controls.cookie.alpha = 0;
+ }
+ // IE8 doesn't puts ALL boxes at the bottom rather than on the baseline
+ if (this.msieRuleDepthBug) {jsMath.HTML.Strut = jsMath.HTML.msieStrut}
+ } else if (jsMath.platform == 'mac') {
+ this.msieAbsoluteBug = 1; this.msieButtonBug = 1;
+ this.msieDivWidthBug = 1; this.msieBlankBug = 1;
+ this.quirks = 1;
+ jsMath.Setup.Script('jsMath-msie-mac.js');
+ jsMath.Parser.prototype.macros.angle = ['Replace','ord','‹','normal'];
+ jsMath.styles['#jsMath_panel'].width = '42em';
+ jsMath.Controls.cookie.printwarn = 0; // MSIE/Mac doesn't handle '@media screen'
+ }
+ this.processAtOnce = Math.max(Math.floor((this.processAtOnce+1)/2),1);
+ jsMath.Macro('not','\\mathrel{\\rlap{\\kern3mu/}}');
+ jsMath.Macro('angle','\\raise1.84pt{\\kern2.5mu\\rlap{\\scriptstyle/}\\kern.5pt\\rule{.4em}{-1.5pt}{1.84pt}\\kern2.5mu}');
+ }
+ },
+
+ //
+ // Handle Netscape/Mozilla (any flavor)
+ //
+ Mozilla: function () {
+ if (jsMath.hidden.ATTRIBUTE_NODE && jsMath.window.directories) {
+ jsMath.browser = 'Mozilla';
+ if (jsMath.platform == 'pc') {this.alphaPrintBug = 1}
+ this.allowAbsoluteDelim = 1;
+ jsMath.styles['#jsMath_button'].cursor = jsMath.styles['#jsMath_noFont .link'].cursor = 'pointer',
+ jsMath.Macro('not','\\mathrel{\\rlap{\\kern3mu/}}');
+ jsMath.Macro('angle','\\raise1.34pt{\\kern2.5mu\\rlap{\\scriptstyle/}\\rule{.4em}{-1pt}{1.34pt}\\kern2.5mu}');
+ if (navigator.vendor == 'Firefox') {
+ this.version = navigator.vendorSub;
+ } else if (navigator.userAgent.match(' Firefox/([0-9.]+)([a-z ]|$)')) {
+ this.version = RegExp.$1;
+ }
+ if (this.VersionAtLeast("3.0")) {this.mozImageSizeBug = this.lineBreakBug = 1}
+ }
+ },
+
+ //
+ // Handle OmniWeb
+ //
+ OmniWeb: function () {
+ if (navigator.accentColorName) {
+ jsMath.browser = 'OmniWeb';
+ this.allowAbsolute = this.hasInlineBlock;
+ this.allowAbsoluteDelim = this.allowAbsolute;
+ this.valignBug = !this.allowAbsolute;
+ this.buttonCheck = 1; this.textNodeBug = 1;
+ jsMath.noChangeGlobal = 1; // OmniWeb craches on GoGlobal
+ if (!this.hasInlineBlock) {jsMath.Setup.Script('jsMath-old-browsers.js')}
+ }
+ },
+
+ //
+ // Handle Opera
+ //
+ Opera: function () {
+ if (this.spanHeightTooBig) {
+ jsMath.browser = 'Opera';
+ var isOld = navigator.userAgent.match("Opera 7");
+ this.allowAbsolute = 0;
+ this.delay = 10;
+ this.operaHiddenFix = '[Processing]';
+ if (isOld) {jsMath.Setup.Script('jsMath-old-browsers.js')}
+ var version = navigator.appVersion.match(/^(\d+\.\d+)/);
+ if (version) {this.version = version[1]} else {this.vesion = 0}
+ this.operaAbsoluteWidthBug = this.operaLineHeightBug = (version[1] >= 9.5 && version[1] < 9.6);
+ }
+ },
+
+ //
+ // Handle Safari
+ //
+ Safari: function () {
+ if (navigator.appVersion.match(/Safari\//)) {
+ jsMath.browser = 'Safari';
+ if (navigator.vendor.match(/Google/)) {jsMath.browser = 'Chrome'}
+ var version = navigator.userAgent.match("Safari/([0-9]+)");
+ version = (version)? version[1] : 400; this.version = version;
+ jsMath.TeX.axis_height += .05;
+ this.allowAbsoluteDelim = version >= 125;
+ this.safariIFRAMEbug = version >= 312 && version < 412;
+ this.safariButtonBug = version < 412;
+ this.safariImgBug = 1; this.textNodeBug = 1;
+ this.lineBreakBug = version >= 526;
+ this.buttonCheck = version < 500;
+ this.styleChangeDelay = 1;
+ jsMath.Macro('not','\\mathrel{\\rlap{\\kern3.25mu/}}');
+ }
+ },
+
+ //
+ // Handle Konqueror
+ //
+ Konqueror: function () {
+ if (navigator.product && navigator.product.match("Konqueror")) {
+ jsMath.browser = 'Konqueror';
+ this.allowAbsolute = 0;
+ this.allowAbsoluteDelim = 0;
+ if (navigator.userAgent.match(/Konqueror\/(\d+)\.(\d+)/)) {
+ if (RegExp.$1 < 3 || (RegExp.$1 == 3 && RegExp.$2 < 3)) {
+ this.separateSkips = 1;
+ this.valignBug = 1;
+ jsMath.Setup.Script('jsMath-old-browsers.js');
+ }
+ }
+ // Apparently, Konqueror wants the names without the hyphen
+ jsMath.Add(jsMath.styles,{
+ '.typeset .cmr10': 'font-family: jsMath-cmr10, jsMath cmr10, serif',
+ '.typeset .cmbx10': 'font-family: jsMath-cmbx10, jsMath cmbx10, jsMath-cmr10, jsMath cmr10',
+ '.typeset .cmti10': 'font-family: jsMath-cmti10, jsMath cmti10, jsMath-cmr10, jsMath cmr10',
+ '.typeset .cmmi10': 'font-family: jsMath-cmmi10, jsMath cmmi10',
+ '.typeset .cmsy10': 'font-family: jsMath-cmsy10, jsMath cmsy10',
+ '.typeset .cmex10': 'font-family: jsMath-cmex10, jsMath cmex10'
+ });
+ jsMath.Font.testFont = "jsMath-cmex10, jsMath cmex10";
+ }
+ }
+
+};
+
+/***************************************************************************/
+
+/*
+ * Implement font check and messages
+ */
+jsMath.Font = {
+
+ testFont: "jsMath-cmex10",
+ fallback: "symbol", // the default fallback method
+ register: [], // list of fonts registered before jsMath.Init()
+
+ // the HTML for the missing font message
+ message:
+ 'No jsMath TeX fonts found -- using image fonts instead.
\n'
+ + 'These may be slow and might not print well.
\n'
+ + 'Use the jsMath control panel to get additional information.',
+
+ extra_message:
+ 'Extra TeX fonts not found:
'
+ + 'Using image fonts instead. This may be slow and might not print well.
\n'
+ + 'Use the jsMath control panel to get additional information.',
+
+ print_message:
+ 'To print higher-resolution math symbols, click the
\n'
+ + 'Hi-Res Fonts for Printing button on the jsMath control panel.
\n',
+
+ alpha_message:
+ 'If the math symbols print as black boxes, turn off image alpha channels
\n'
+ + 'using the Options pane of the jsMath control panel.
\n',
+
+ /*
+ * Look to see if a font is found.
+ * Check the character in a given position, and see if it is
+ * wider than the usual one in that position.
+ */
+ Test1: function (name,n,factor,prefix) {
+ if (n == null) {n = 0x7C}; if (factor == null) {factor = 2}; if (prefix == null) {prefix = ''}
+ var wh1 = jsMath.BBoxFor(''+jsMath.TeX[name][n].c+'');
+ var wh2 = jsMath.BBoxFor(''+jsMath.TeX[name][n].c+'');
+ //alert([wh1.w,wh2.w,wh1.h,factor*wh2.w]);
+ return (wh1.w > factor*wh2.w && wh1.h != 0);
+ },
+
+ Test2: function (name,n,factor,prefix) {
+ if (n == null) {n = 0x7C}; if (factor == null) {factor = 2}; if (prefix == null) {prefix = ''}
+ var wh1 = jsMath.BBoxFor(''+jsMath.TeX[name][n].c+'');
+ var wh2 = jsMath.BBoxFor(''+jsMath.TeX[name][n].c+'');
+ //alert([wh2.w,wh1.w,wh1.h,factor*wh1.w]);
+ return (wh2.w > factor*wh1.w && wh1.h != 0);
+ },
+
+ /*
+ * Check for the new jsMath versions of the fonts (blacker with
+ * different encoding) and if not found, look for old-style fonts.
+ * If they are found, load the BaKoMa encoding information.
+ */
+ CheckTeX: function () {
+ var wh = jsMath.BBoxFor(''+jsMath.TeX.cmex10[1].c+'');
+ jsMath.nofonts = ((wh.w*3 > wh.h || wh.h == 0) && !this.Test1('cmr10',null,null,'jsMath-'));
+ if (!jsMath.nofonts) return;
+ /*
+ * if (jsMath.browser != 'Mozilla' ||
+ * (jsMath.platform == "mac" &&
+ * (!jsMath.Browser.VersionAtLeast(1.5) || jsMath.Browser.VersionAtLeast(3.0))) ||
+ * (jsMath.platform != "mac" && !jsMath.Browser.VersionAtLeast(3.0))) {
+ * wh = jsMath.BBoxFor(''+jsMath.TeX.cmex10[1].c+'');
+ * jsMath.nofonts = ((wh.w*3 > wh.h || wh.h == 0) && !this.Test1('cmr10'));
+ * if (!jsMath.nofonts) {jsMath.Setup.Script("jsMath-BaKoMa-fonts.js")}
+ * }
+ */
+ },
+
+ /*
+ * 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.
+ *
+ */
+ Check: function () {
+ var cookie = jsMath.Controls.cookie;
+ this.CheckTeX();
+ if (jsMath.nofonts) {
+ if (cookie.autofont || cookie.font == 'tex') {
+ cookie.font = this.fallback;
+ if (cookie.warn) {
+ jsMath.nofontMessage = 1;
+ cookie.warn = 0; jsMath.Controls.SetCookie(0);
+ if (jsMath.window.NoFontMessage) {jsMath.window.NoFontMessage()}
+ else {this.Message(this.message)}
+ }
+ }
+ } else {
+ if (cookie.autofont) {cookie.font = 'tex'}
+ if (cookie.font == 'tex') return;
+ }
+ if (jsMath.noImgFonts) {cookie.font = 'unicode'}
+ if (cookie.font == 'unicode') {
+ jsMath.Setup.Script('jsMath-fallback-'+jsMath.platform+'.js');
+ jsMath.Box.TeXnonfallback = jsMath.Box.TeX;
+ jsMath.Box.TeX = jsMath.Box.TeXfallback;
+ return;
+ }
+ if (!cookie.print && cookie.printwarn) {
+ this.PrintMessage(
+ (jsMath.Browser.alphaPrintBug && jsMath.Controls.cookie.alpha) ?
+ this.print_message + this.alpha_message : this.print_message);
+ }
+ if (jsMath.Browser.waitForImages) {
+ jsMath.Script.Push(jsMath.Script,"WaitForImage",jsMath.blank);
+ }
+ if (cookie.font == 'symbol') {
+ jsMath.Setup.Script('jsMath-fallback-symbols.js');
+ jsMath.Box.TeXnonfallback = jsMath.Box.TeX;
+ jsMath.Box.TeX = jsMath.Box.TeXfallback;
+ return;
+ }
+ jsMath.Img.SetFont({
+ cmr10: ['all'], cmmi10: ['all'], cmsy10: ['all'],
+ cmex10: ['all'], cmbx10: ['all'], cmti10: ['all']
+ });
+ jsMath.Img.LoadFont('cm-fonts');
+ },
+
+ /*
+ * The message for when no TeX fonts. You can eliminate this message
+ * by including
+ *
+ *
+ *
+ * in your HTML file, before loading jsMath.js, if you want. But this
+ * means the user may not know that he or she can get a better version
+ * of your page.
+ */
+ Message: function (message) {
+ if (jsMath.Element("Warning")) return;
+ var div = jsMath.Setup.DIV("Warning",{});
+ div.innerHTML =
+ ''
+ + '' + message
+ + ' '
+ + 'jsMath Control Panel'
+ + ''
+ + 'Hide this Message'
+ + ' |
';
+ },
+
+ HideMessage: function () {
+ var message = jsMath.Element("Warning");
+ if (message) {message.style.display = "none"}
+ },
+
+ PrintMessage: function (message) {
+ if (jsMath.Element("PrintWarning")) return;
+ var div = jsMath.Setup.DIV("PrintWarning",{});
+ div.innerHTML =
+ '| '
+ + ' ' + message + ' '
+ + ''
+ + ' |
';
+ },
+
+ /*
+ * Register an extra font so jsMath knows about it
+ */
+ Register: function (data,force) {
+ if (typeof(data) == 'string') {data = {name: data}}
+ if (!jsMath.Setup.inited && !force) {
+ this.register[this.register.length] = data;
+ return;
+ }
+ var fontname = data.name; var name = fontname.replace(/10$/,'');
+ var fontfam = jsMath.TeX.fam.length;
+ if (data.prefix == null) {data.prefix = ""}
+ if (!data.style) {data.style = "font-family: "+data.prefix+fontname+", serif"}
+ if (!data.styles) {data.styles = {}}
+ if (!data.macros) {data.macros = {}}
+ /*
+ * Register font family
+ */
+ jsMath.TeX.fam[fontfam] = fontname;
+ jsMath.TeX.famName[fontname] = fontfam;
+ data.macros[name] = ['HandleFont',fontfam];
+ jsMath.Add(jsMath.Parser.prototype.macros,data.macros);
+ /*
+ * Set up styles
+ */
+ data.styles['.typeset .'+fontname] = data.style;
+ jsMath.Setup.Styles(data.styles);
+ if (jsMath.initialized) {jsMath.Script.Push(jsMath.Setup,'TeXfont',fontname)}
+ /*
+ * Check for font and give message if missing
+ */
+ var cookie = jsMath.Controls.cookie;
+ var hasTeXfont = !jsMath.nofonts &&
+ data.test(fontname,data.testChar,data.testFactor,data.prefix);
+ if (hasTeXfont && cookie.font == 'tex') {
+ if (data.tex) {data.tex(fontname,fontfam,data)}
+ return;
+ }
+ if (!hasTeXfont && cookie.warn && cookie.font == 'tex' && !jsMath.nofonts) {
+ if (!cookie.fonts.match("/"+fontname+"/")) {
+ cookie.fonts += fontname + "/"; jsMath.Controls.SetCookie(0);
+ if (!jsMath.Element("Warning")) this.Message(this.extra_message);
+ var extra = jsMath.Element("ExtraFonts");
+ if (extra) {
+ if (extra.innerHTML != "") {extra.innerHTML += ','}
+ extra.innerHTML += " " + data.prefix+fontname;
+ }
+ }
+ }
+ if (cookie.font == 'unicode' || jsMath.noImgFonts) {
+ if (data.fallback) {data.fallback(fontname,fontfam,data)}
+ return;
+ }
+ // Image fonts
+ var font = {};
+ if (cookie.font == 'symbol' && data.symbol != null) {
+ font[fontname] = data.symbol(fontname,fontfam,data);
+ } else {
+ font[fontname] = ['all'];
+ }
+ jsMath.Img.SetFont(font);
+ jsMath.Img.LoadFont(fontname);
+ if (jsMath.initialized) {
+ jsMath.Script.Push(jsMath.Img,'Scale');
+ jsMath.Script.Push(jsMath.Img,'UpdateFonts');
+ }
+ },
+ /*
+ * If fonts are registered before jsMath.Init() is called, jsMath.em
+ * will not be available, so they need to be delayed.
+ */
+ LoadRegistered: function () {
+ var i = 0;
+ while (i < this.register.length) {this.Register(this.register[i++],1)}
+ this.register = [];
+ },
+
+ /*
+ * Load a font
+ */
+ Load: function (name) {jsMath.Setup.Script(this.URL(name))},
+ URL: function (name) {return jsMath.Img.root+name+'/def.js'}
+
+};
+
+/***************************************************************************/
+
+/*
+ * Implements the jsMath control panel.
+ * Much of the code is in jsMath-controls.html, which is
+ * loaded into a hidden IFRAME on demand
+ */
+jsMath.Controls = {
+
+ // Data stored in the jsMath cookie
+ cookie: {
+ scale: 100,
+ font: 'tex', autofont: 1, scaleImg: 0, alpha: 1,
+ warn: 1, fonts: '/', printwarn: 1, stayhires: 0,
+ button: 1, progress: 1, asynch: 0, blank: 0,
+ print: 0, keep: '0D', global: 'auto', hiddenGlobal: 1
+ },
+
+ cookiePath: '/', // can also set cookieDomain
+ noCookiePattern: /^(file|mk):$/, // pattern for handling cookies locally
+
+
+ /*
+ * Create the HTML needed for control panel
+ */
+ Init: function () {
+ this.panel = jsMath.Setup.DIV("panel",{display:'none'},jsMath.fixedDiv);
+ if (!jsMath.Browser.msieButtonBug) {this.Button()}
+ else {setTimeout("jsMath.Controls.Button()",500)}
+ },
+
+ /*
+ * Load the control panel
+ */
+ Panel: function () {
+ jsMath.Translate.Cancel();
+ if (this.loaded) {this.Main()}
+ else {jsMath.Script.delayedLoad(jsMath.root+"jsMath-controls.html")}
+ },
+
+ /*
+ * Create the control panel button
+ */
+ Button: function () {
+ var button = jsMath.Setup.DIV("button",{},jsMath.fixedDiv);
+ button.title = ' Open jsMath Control Panel ';
+ button.innerHTML =
+ 'jsMath';
+ if (!jsMath.Global.isLocal && !jsMath.noShowGlobal) {
+ button.innerHTML +=
+ 'Global ';
+ }
+ if (button.offsetWidth < 30) {button.style.width = "auto"}
+ if (!this.cookie.button) {button.style.display = "none"}
+ },
+
+ /*
+ * Since MSIE doesn't handle position:float, we need to have the
+ * window repositioned every time the window scrolls. We do that
+ * putting the floating elements into a window-sized DIV, but
+ * absolutely positioned, and then move the DIV.
+ */
+ MoveButton: function () {
+ var body = (jsMath.Browser.quirks ? document.body : document.documentElement);
+ jsMath.fixedDiv.style.left = body.scrollLeft + 'px';
+ jsMath.fixedDiv.style.top = body.scrollTop + body.clientHeight + 'px';
+ jsMath.fixedDiv.style.width = body.clientWidth + 'px';
+// jsMath.fixedDiv.style.top = body.scrollTop + 'px';
+// jsMath.fixedDiv.style.height = body.clientHeight + 'px';
+ },
+
+ /*
+ * Get the cookie data from the browser
+ * (for file: references, use url '?' syntax)
+ */
+ GetCookie: function () {
+ // save the current cookie settings as the defaults
+ if (this.defaults == null) {this.defaults = {}}
+ jsMath.Add(this.defaults,this.cookie); this.userSet = {};
+ // get the browser's cookie data
+ var cookies = jsMath.document.cookie;
+ if (jsMath.window.location.protocol.match(this.noCookiePattern)) {
+ cookies = this.localGetCookie();
+ this.isLocalCookie = 1;
+ }
+ if (cookies.match(/jsMath=([^;]+)/)) {
+ var data = unescape(RegExp.$1).split(/,/);
+ for (var i = 0; i < data.length; i++) {
+ var x = data[i].match(/(.*):(.*)/);
+ if (x[2].match(/^\d+$/)) {x[2] = 1*x[2]} // convert from string
+ this.cookie[x[1]] = x[2];
+ this.userSet[x[1]] = 1;
+ }
+ }
+ },
+ localGetCookie: function () {
+ return jsMath.window.location.search.substr(1);
+ },
+
+ /*
+ * Save the cookie data in the browser
+ * (for file: urls, append data like CGI reference)
+ */
+ SetCookie: function (warn) {
+ var cookie = [];
+ for (var id in this.cookie) {
+ if (this.defaults[id] == null || this.cookie[id] != this.defaults[id])
+ {cookie[cookie.length] = id + ':' + this.cookie[id]}
+ }
+ cookie = cookie.join(',');
+ if (this.isLocalCookie) {
+ if (warn == 2) {return 'jsMath='+escape(cookie)}
+ this.localSetCookie(cookie,warn);
+ } else {
+ cookie = escape(cookie);
+ if (cookie == '') {warn = 0}
+ if (this.cookiePath) {cookie += '; path='+this.cookiePath}
+ if (this.cookieDomain) {cookie += '; domain='+this.cookieDomain}
+ if (this.cookie.keep != '0D') {
+ var ms = {
+ D: 1000*60*60*24,
+ W: 1000*60*60*24*7,
+ M: 1000*60*60*24*30,
+ Y: 1000*60*60*24*365
+ };
+ var exp = new Date;
+ exp.setTime(exp.getTime() +
+ this.cookie.keep.substr(0,1) * ms[this.cookie.keep.substr(1,1)]);
+ cookie += '; expires=' + exp.toGMTString();
+ }
+ if (cookie != '') {
+ jsMath.document.cookie = 'jsMath='+cookie;
+ var cookies = jsMath.document.cookie;
+ if (warn && !cookies.match(/jsMath=/))
+ {alert("Cookies must be enabled in order to save jsMath options")}
+ }
+ }
+ return null;
+ },
+ localSetCookie: function (cookie,warn) {
+ if (!warn) return;
+ var href = String(jsMath.window.location).replace(/\?.*/,"");
+ if (cookie != '') {href += '?jsMath=' + escape(cookie)}
+ if (href != jsMath.window.location.href) {this.Reload(href)}
+ },
+
+ /*
+ * Reload the page (with the given URL)
+ */
+ Reload: function (url) {
+ if (!this.loaded) return;
+ this.loaded = 0; jsMath.Setup.inited = -100;
+ jsMath.Global.ClearCache();
+ if (url) {jsMath.window.location.replace(url)}
+ else {jsMath.window.location.reload()}
+ }
+
+};
+
+/***************************************************************************/
+
+/*
+ * Implements the actions for clicking and double-clicking
+ * on math formulas
+ */
+jsMath.Click = {
+
+ /*
+ * Handle clicking on math to get control panel
+ */
+ CheckClick: function (event) {
+ if (!event) {event = jsMath.window.event}
+ if (event.altKey) jsMath.Controls.Panel();
+ },
+
+ /*
+ * Handle double-click for seeing TeX code
+ */
+
+ CheckDblClick: function (event) {
+ if (!event) {event = jsMath.window.event}
+ if (!jsMath.Click.DblClick) {
+ jsMath.Extension.Require('double-click',1);
+ // Firefox clears the event, so copy it
+ var tmpEvent = event; event = {};
+ for (var id in tmpEvent) {event[id] = tmpEvent[id]}
+ }
+ jsMath.Script.Push(jsMath.Click,'DblClick',[event,this.alt]);
+ }
+
+};
+
+/***************************************************************************/
+
+/*
+ * The TeX font information
+ */
+jsMath.TeX = {
+
+ //
+ // The TeX font parameters
+ //
+ 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: .06,
+ 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
+
+ // 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',''],
+ famName: {cmr10:0, cmmi10:1, cmsy10:2, cmex10:3, cmti10:4, cmbx10:6},
+
+ // Encoding used by jsMath fonts
+ encoding: [
+ 'À', 'Á', 'Â', 'Ã', 'Ä', 'Å', 'Æ', 'Ç',
+ 'È', 'É', 'Ê', 'Ë', 'Ì', 'Í', 'Î', 'Ï',
+
+ '°', 'Ñ', 'Ò', 'Ó', 'Ô', 'Õ', 'Ö', '·',
+ 'Ø', 'Ù', 'Ú', 'Û', 'Ü', 'µ', '¶', 'ß',
+
+ 'ï', '!', '"', '#', '$', '%', '&', ''',
+ '(', ')', '*', '+', ',', '-', '.', '/',
+
+ '0', '1', '2', '3', '4', '5', '6', '7',
+ '8', '9', ':', ';', '<', '=', '>', '?',
+
+ '@', 'A', 'B', 'C', 'D', 'E', 'F', 'G',
+ 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O',
+
+ 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W',
+ 'X', 'Y', 'Z', '[', '\', ']', '^', '_',
+
+ '`', 'a', 'b', 'c', 'd', 'e', 'f', 'g',
+ 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o',
+
+ 'p', 'q', 'r', 's', 't', 'u', 'v', 'w',
+ 'x', 'y', 'z', '{', '|', '}', '~', 'ÿ'
+ ],
+
+ /*
+ * The following are the TeX font mappings and metrics. The metric
+ * information comes directly from the TeX .tfm files. Browser-specific
+ * adjustments are made to these tables in the Browser.Init() routine
+ */
+ cmr10: [
+ [0.625,0.683], [0.833,0.683], [0.778,0.683], [0.694,0.683],
+ [0.667,0.683], [0.75,0.683], [0.722,0.683], [0.778,0.683],
+ [0.722,0.683], [0.778,0.683], [0.722,0.683],
+ [0.583,0.694,0,{ic: 0.0778, krn: {'39': 0.0778, '63': 0.0778, '33': 0.0778, '41': 0.0778, '93': 0.0778}, lig: {'105': 14, '108': 15}}],
+ [0.556,0.694], [0.556,0.694], [0.833,0.694], [0.833,0.694],
+
+ [0.278,0.431], [0.306,0.431,0.194], [0.5,0.694], [0.5,0.694],
+ [0.5,0.628], [0.5,0.694], [0.5,0.568], [0.75,0.694],
+ [0.444,0,0.17], [0.5,0.694], [0.722,0.431], [0.778,0.431],
+ [0.5,0.528,0.0972], [0.903,0.683], [1.01,0.683], [0.778,0.732,0.0486],
+
+ [0.278,0.431,0,{krn: {'108': -0.278, '76': -0.319}}],
+ [0.278,0.694,0,{lig: {'96': 60}}],
+ [0.5,0.694], [0.833,0.694,0.194], [0.5,0.75,0.0556],
+ [0.833,0.75,0.0556], [0.778,0.694],
+ [0.278,0.694,0,{krn: {'63': 0.111, '33': 0.111}, lig: {'39': 34}}],
+ [0.389,0.75,0.25], [0.389,0.75,0.25], [0.5,0.75],
+ [0.778,0.583,0.0833], [0.278,0.106,0.194],
+ [0.333,0.431,0,{lig: {'45': 123}}],
+ [0.278,0.106], [0.5,0.75,0.25],
+
+ [0.5,0.644], [0.5,0.644], [0.5,0.644], [0.5,0.644],
+ [0.5,0.644], [0.5,0.644], [0.5,0.644], [0.5,0.644],
+ [0.5,0.644], [0.5,0.644], [0.278,0.431], [0.278,0.431,0.194],
+ [0.278,0.5,0.194], [0.778,0.367,-0.133], [0.472,0.5,0.194],
+ [0.472,0.694,0,{lig: {'96': 62}}],
+
+ [0.778,0.694],
+ [0.75,0.683,0,{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}}],
+ [0.708,0.683], [0.722,0.683],
+ [0.764,0.683,0,{krn: {'88': -0.0278, '87': -0.0278, '65': -0.0278, '86': -0.0278, '89': -0.0278}}],
+ [0.681,0.683],
+ [0.653,0.683,0,{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}}],
+ [0.785,0.683], [0.75,0.683], [0.361,0.683,0,{krn: {'73': 0.0278}}],
+ [0.514,0.683],
+ [0.778,0.683,0,{krn: {'79': -0.0278, '67': -0.0278, '71': -0.0278, '81': -0.0278}}],
+ [0.625,0.683,0,{krn: {'84': -0.0833, '89': -0.0833, '86': -0.111, '87': -0.111}}],
+ [0.917,0.683], [0.75,0.683],
+ [0.778,0.683,0,{krn: {'88': -0.0278, '87': -0.0278, '65': -0.0278, '86': -0.0278, '89': -0.0278}}],
+
+ [0.681,0.683,0,{krn: {'65': -0.0833, '111': -0.0278, '101': -0.0278, '97': -0.0278, '46': -0.0833, '44': -0.0833}}],
+ [0.778,0.683,0.194],
+ [0.736,0.683,0,{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}}],
+ [0.556,0.683],
+ [0.722,0.683,0,{krn: {'121': -0.0278, '101': -0.0833, '111': -0.0833, '114': -0.0833, '97': -0.0833, '65': -0.0833, '117': -0.0833}}],
+ [0.75,0.683],
+ [0.75,0.683,0,{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}}],
+ [1.03,0.683,0,{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}}],
+ [0.75,0.683,0,{krn: {'79': -0.0278, '67': -0.0278, '71': -0.0278, '81': -0.0278}}],
+ [0.75,0.683,0,{ic: 0.025, krn: {'101': -0.0833, '111': -0.0833, '114': -0.0833, '97': -0.0833, '65': -0.0833, '117': -0.0833}}],
+ [0.611,0.683], [0.278,0.75,0.25], [0.5,0.694],
+ [0.278,0.75,0.25], [0.5,0.694], [0.278,0.668],
+
+ [0.278,0.694,0,{lig: {'96': 92}}],
+ [0.5,0.431,0,{krn: {'118': -0.0278, '106': 0.0556, '121': -0.0278, '119': -0.0278}}],
+ [0.556,0.694,0,{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}}],
+ [0.444,0.431,0,{krn: {'104': -0.0278, '107': -0.0278}}],
+ [0.556,0.694], [0.444,0.431],
+ [0.306,0.694,0,{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}}],
+ [0.5,0.431,0.194,{ic: 0.0139, krn: {'106': 0.0278}}],
+ [0.556,0.694,0,{krn: {'116': -0.0278, '117': -0.0278, '98': -0.0278, '121': -0.0278, '118': -0.0278, '119': -0.0278}}],
+ [0.278,0.668], [0.306,0.668,0.194],
+ [0.528,0.694,0,{krn: {'97': -0.0556, '101': -0.0278, '97': -0.0278, '111': -0.0278, '99': -0.0278}}],
+ [0.278,0.694],
+ [0.833,0.431,0,{krn: {'116': -0.0278, '117': -0.0278, '98': -0.0278, '121': -0.0278, '118': -0.0278, '119': -0.0278}}],
+ [0.556,0.431,0,{krn: {'116': -0.0278, '117': -0.0278, '98': -0.0278, '121': -0.0278, '118': -0.0278, '119': -0.0278}}],
+ [0.5,0.431,0,{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}}],
+
+ [0.556,0.431,0.194,{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}}],
+ [0.528,0.431,0.194], [0.392,0.431], [0.394,0.431],
+ [0.389,0.615,0,{krn: {'121': -0.0278, '119': -0.0278}}],
+ [0.556,0.431,0,{krn: {'119': -0.0278}}],
+ [0.528,0.431,0,{ic: 0.0139, krn: {'97': -0.0556, '101': -0.0278, '97': -0.0278, '111': -0.0278, '99': -0.0278}}],
+ [0.722,0.431,0,{ic: 0.0139, krn: {'101': -0.0278, '97': -0.0278, '111': -0.0278, '99': -0.0278}}],
+ [0.528,0.431],
+ [0.528,0.431,0.194,{ic: 0.0139, krn: {'111': -0.0278, '101': -0.0278, '97': -0.0278, '46': -0.0833, '44': -0.0833}}],
+ [0.444,0.431], [0.5,0.431,0,{ic: 0.0278, lig: {'45': 124}}],
+ [1,0.431,0,{ic: 0.0278}], [0.5,0.694], [0.5,0.668], [0.5,0.668]
+ ],
+
+ cmmi10: [
+ [0.615,0.683,0,{ic: 0.139, krn: {'61': -0.0556, '59': -0.111, '58': -0.111, '127': 0.0833}}],
+ [0.833,0.683,0,{krn: {'127': 0.167}}],
+ [0.763,0.683,0,{ic: 0.0278, krn: {'127': 0.0833}}],
+ [0.694,0.683,0,{krn: {'127': 0.167}}],
+ [0.742,0.683,0,{ic: 0.0757, krn: {'127': 0.0833}}],
+ [0.831,0.683,0,{ic: 0.0812, krn: {'61': -0.0556, '59': -0.0556, '58': -0.0556, '127': 0.0556}}],
+ [0.78,0.683,0,{ic: 0.0576, krn: {'127': 0.0833}}],
+ [0.583,0.683,0,{ic: 0.139, krn: {'61': -0.0556, '59': -0.111, '58': -0.111, '127': 0.0556}}],
+ [0.667,0.683,0,{krn: {'127': 0.0833}}],
+ [0.612,0.683,0,{ic: 0.11, krn: {'61': -0.0556, '59': -0.0556, '58': -0.0556, '127': 0.0556}}],
+ [0.772,0.683,0,{ic: 0.0502, krn: {'127': 0.0833}}],
+ [0.64,0.431,0,{ic: 0.0037, krn: {'127': 0.0278}}],
+ [0.566,0.694,0.194,{ic: 0.0528, krn: {'127': 0.0833}}],
+ [0.518,0.431,0.194,{ic: 0.0556}],
+ [0.444,0.694,0,{ic: 0.0378, krn: {'59': -0.0556, '58': -0.0556, '127': 0.0556}}],
+ [0.406,0.431,0,{krn: {'127': 0.0556}}],
+
+ [0.438,0.694,0.194,{ic: 0.0738, krn: {'127': 0.0833}}],
+ [0.497,0.431,0.194,{ic: 0.0359, krn: {'127': 0.0556}}],
+ [0.469,0.694,0,{ic: 0.0278, krn: {'127': 0.0833}}],
+ [0.354,0.431,0,{krn: {'127': 0.0556}}],
+ [0.576,0.431], [0.583,0.694],
+ [0.603,0.431,0.194,{krn: {'127': 0.0278}}],
+ [0.494,0.431,0,{ic: 0.0637, krn: {'59': -0.0556, '58': -0.0556, '127': 0.0278}}],
+ [0.438,0.694,0.194,{ic: 0.046, krn: {'127': 0.111}}],
+ [0.57,0.431,0,{ic: 0.0359}],
+ [0.517,0.431,0.194,{krn: {'127': 0.0833}}],
+ [0.571,0.431,0,{ic: 0.0359, krn: {'59': -0.0556, '58': -0.0556}}],
+ [0.437,0.431,0,{ic: 0.113, krn: {'59': -0.0556, '58': -0.0556, '127': 0.0278}}],
+ [0.54,0.431,0,{ic: 0.0359, krn: {'127': 0.0278}}],
+ [0.596,0.694,0.194,{krn: {'127': 0.0833}}],
+ [0.626,0.431,0.194,{krn: {'127': 0.0556}}],
+
+ [0.651,0.694,0.194,{ic: 0.0359, krn: {'127': 0.111}}],
+ [0.622,0.431,0,{ic: 0.0359}],
+ [0.466,0.431,0,{krn: {'127': 0.0833}}],
+ [0.591,0.694,0,{krn: {'127': 0.0833}}],
+ [0.828,0.431,0,{ic: 0.0278}],
+ [0.517,0.431,0.194,{krn: {'127': 0.0833}}],
+ [0.363,0.431,0.0972,{ic: 0.0799, krn: {'127': 0.0833}}],
+ [0.654,0.431,0.194,{krn: {'127': 0.0833}}],
+ [1,0.367,-0.133], [1,0.367,-0.133], [1,0.367,-0.133], [1,0.367,-0.133],
+ [0.278,0.464,-0.0363], [0.278,0.464,-0.0363], [0.5,0.465,-0.0347], [0.5,0.465,-0.0347],
+
+ [0.5,0.431], [0.5,0.431], [0.5,0.431], [0.5,0.431,0.194],
+ [0.5,0.431,0.194], [0.5,0.431,0.194], [0.5,0.644], [0.5,0.431,0.194],
+ [0.5,0.644], [0.5,0.431,0.194], [0.278,0.106], [0.278,0.106,0.194],
+ [0.778,0.539,0.0391],
+ [0.5,0.75,0.25,{krn: {'1': -0.0556, '65': -0.0556, '77': -0.0556, '78': -0.0556, '89': 0.0556, '90': -0.0556}}],
+ [0.778,0.539,0.0391], [0.5,0.465,-0.0347],
+
+ [0.531,0.694,0,{ic: 0.0556, krn: {'127': 0.0833}}],
+ [0.75,0.683,0,{krn: {'127': 0.139}}],
+ [0.759,0.683,0,{ic: 0.0502, krn: {'127': 0.0833}}],
+ [0.715,0.683,0,{ic: 0.0715, krn: {'61': -0.0278, '59': -0.0556, '58': -0.0556, '127': 0.0833}}],
+ [0.828,0.683,0,{ic: 0.0278, krn: {'127': 0.0556}}],
+ [0.738,0.683,0,{ic: 0.0576, krn: {'127': 0.0833}}],
+ [0.643,0.683,0,{ic: 0.139, krn: {'61': -0.0556, '59': -0.111, '58': -0.111, '127': 0.0833}}],
+ [0.786,0.683,0,{krn: {'127': 0.0833}}],
+ [0.831,0.683,0,{ic: 0.0812, krn: {'61': -0.0556, '59': -0.0556, '58': -0.0556, '127': 0.0556}}],
+ [0.44,0.683,0,{ic: 0.0785, krn: {'127': 0.111}}],
+ [0.555,0.683,0,{ic: 0.0962, krn: {'61': -0.0556, '59': -0.111, '58': -0.111, '127': 0.167}}],
+ [0.849,0.683,0,{ic: 0.0715, krn: {'61': -0.0556, '59': -0.0556, '58': -0.0556, '127': 0.0556}}],
+ [0.681,0.683,0,{krn: {'127': 0.0278}}],
+ [0.97,0.683,0,{ic: 0.109, krn: {'61': -0.0556, '59': -0.0556, '58': -0.0556, '127': 0.0833}}],
+ [0.803,0.683,0,{ic: 0.109, krn: {'61': -0.0833, '61': -0.0278, '59': -0.0556, '58': -0.0556, '127': 0.0833}}],
+ [0.763,0.683,0,{ic: 0.0278, krn: {'127': 0.0833}}],
+
+ [0.642,0.683,0,{ic: 0.139, krn: {'61': -0.0556, '59': -0.111, '58': -0.111, '127': 0.0833}}],
+ [0.791,0.683,0.194,{krn: {'127': 0.0833}}],
+ [0.759,0.683,0,{ic: 0.00773, krn: {'127': 0.0833}}],
+ [0.613,0.683,0,{ic: 0.0576, krn: {'61': -0.0556, '59': -0.0556, '58': -0.0556, '127': 0.0833}}],
+ [0.584,0.683,0,{ic: 0.139, krn: {'61': -0.0278, '59': -0.0556, '58': -0.0556, '127': 0.0833}}],
+ [0.683,0.683,0,{ic: 0.109, krn: {'59': -0.111, '58': -0.111, '61': -0.0556, '127': 0.0278}}],
+ [0.583,0.683,0,{ic: 0.222, krn: {'59': -0.167, '58': -0.167, '61': -0.111}}],
+ [0.944,0.683,0,{ic: 0.139, krn: {'59': -0.167, '58': -0.167, '61': -0.111}}],
+ [0.828,0.683,0,{ic: 0.0785, krn: {'61': -0.0833, '61': -0.0278, '59': -0.0556, '58': -0.0556, '127': 0.0833}}],
+ [0.581,0.683,0,{ic: 0.222, krn: {'59': -0.167, '58': -0.167, '61': -0.111}}],
+ [0.683,0.683,0,{ic: 0.0715, krn: {'61': -0.0556, '59': -0.0556, '58': -0.0556, '127': 0.0833}}],
+ [0.389,0.75], [0.389,0.694,0.194], [0.389,0.694,0.194],
+ [1,0.358,-0.142], [1,0.358,-0.142],
+
+ [0.417,0.694,0,{krn: {'127': 0.111}}],
+ [0.529,0.431], [0.429,0.694], [0.433,0.431,0,{krn: {'127': 0.0556}}],
+ [0.52,0.694,0,{krn: {'89': 0.0556, '90': -0.0556, '106': -0.111, '102': -0.167, '127': 0.167}}],
+ [0.466,0.431,0,{krn: {'127': 0.0556}}],
+ [0.49,0.694,0.194,{ic: 0.108, krn: {'59': -0.0556, '58': -0.0556, '127': 0.167}}],
+ [0.477,0.431,0.194,{ic: 0.0359, krn: {'127': 0.0278}}],
+ [0.576,0.694,0,{krn: {'127': -0.0278}}], [0.345,0.66],
+ [0.412,0.66,0.194,{ic: 0.0572, krn: {'59': -0.0556, '58': -0.0556}}],
+ [0.521,0.694,0,{ic: 0.0315}], [0.298,0.694,0,{ic: 0.0197, krn: {'127': 0.0833}}],
+ [0.878,0.431], [0.6,0.431], [0.485,0.431,0,{krn: {'127': 0.0556}}],
+
+ [0.503,0.431,0.194,{krn: {'127': 0.0833}}],
+ [0.446,0.431,0.194,{ic: 0.0359, krn: {'127': 0.0833}}],
+ [0.451,0.431,0,{ic: 0.0278, krn: {'59': -0.0556, '58': -0.0556, '127': 0.0556}}],
+ [0.469,0.431,0,{krn: {'127': 0.0556}}], [0.361,0.615,0,{krn: {'127': 0.0833}}],
+ [0.572,0.431,0,{krn: {'127': 0.0278}}],
+ [0.485,0.431,0,{ic: 0.0359, krn: {'127': 0.0278}}],
+ [0.716,0.431,0,{ic: 0.0269, krn: {'127': 0.0833}}],
+ [0.572,0.431,0,{krn: {'127': 0.0278}}],
+ [0.49,0.431,0.194,{ic: 0.0359, krn: {'127': 0.0556}}],
+ [0.465,0.431,0,{ic: 0.044, krn: {'127': 0.0556}}],
+ [0.322,0.431,0,{krn: {'127': 0.0278}}],
+ [0.384,0.431,0.194,{krn: {'127': 0.0833}}],
+ [0.636,0.431,0.194,{krn: {'127': 0.111}}],
+ [0.5,0.714,0,{ic: 0.154}], [0.278,0.694,0,{ic: 0.399}]
+ ],
+
+ cmsy10: [
+ [0.778,0.583,0.0833], [0.278,0.444,-0.0556], [0.778,0.583,0.0833],
+ [0.5,0.465,-0.0347], [0.778,0.583,0.0833], [0.5,0.444,-0.0556],
+ [0.778,0.583,0.0833], [0.778,0.583,0.0833], [0.778,0.583,0.0833],
+ [0.778,0.583,0.0833], [0.778,0.583,0.0833], [0.778,0.583,0.0833],
+ [0.778,0.583,0.0833], [1,0.694,0.194], [0.5,0.444,-0.0556], [0.5,0.444,-0.0556],
+
+ [0.778,0.464,-0.0363], [0.778,0.464,-0.0363], [0.778,0.636,0.136],
+ [0.778,0.636,0.136], [0.778,0.636,0.136], [0.778,0.636,0.136],
+ [0.778,0.636,0.136], [0.778,0.636,0.136], [0.778,0.367,-0.133],
+ [0.778,0.483,-0.0169], [0.778,0.539,0.0391], [0.778,0.539,0.0391],
+ [1,0.539,0.0391], [1,0.539,0.0391], [0.778,0.539,0.0391], [0.778,0.539,0.0391],
+
+ [1,0.367,-0.133], [1,0.367,-0.133], [0.5,0.694,0.194], [0.5,0.694,0.194],
+ [1,0.367,-0.133], [1,0.694,0.194], [1,0.694,0.194], [0.778,0.464,-0.0363],
+ [1,0.367,-0.133], [1,0.367,-0.133], [0.611,0.694,0.194], [0.611,0.694,0.194],
+ [1,0.367,-0.133], [1,0.694,0.194], [1,0.694,0.194], [0.778,0.431],
+
+ [0.275,0.556], [1,0.431], [0.667,0.539,0.0391], [0.667,0.539,0.0391],
+ [0.889,0.694,0.194], [0.889,0.694,0.194], [0,0.694,0.194], [0,0.367,-0.133],
+ [0.556,0.694], [0.556,0.694], [0.667,0.431], [0.5,0.75,0.0556],
+ [0.722,0.694], [0.722,0.694], [0.778,0.694], [0.778,0.694],
+
+ [0.611,0.694], [0.798,0.683,0,{krn: {'48': 0.194}}],
+ [0.657,0.683,0,{ic: 0.0304, krn: {'48': 0.139}}],
+ [0.527,0.683,0,{ic: 0.0583, krn: {'48': 0.139}}],
+ [0.771,0.683,0,{ic: 0.0278, krn: {'48': 0.0833}}],
+ [0.528,0.683,0,{ic: 0.0894, krn: {'48': 0.111}}],
+ [0.719,0.683,0,{ic: 0.0993, krn: {'48': 0.111}}],
+ [0.595,0.683,0.0972,{ic: 0.0593, krn: {'48': 0.111}}],
+ [0.845,0.683,0,{ic: 0.00965, krn: {'48': 0.111}}],
+ [0.545,0.683,0,{ic: 0.0738, krn: {'48': 0.0278}}],
+ [0.678,0.683,0.0972,{ic: 0.185, krn: {'48': 0.167}}],
+ [0.762,0.683,0,{ic: 0.0144, krn: {'48': 0.0556}}],
+ [0.69,0.683,0,{krn: {'48': 0.139}}], [1.2,0.683,0,{krn: {'48': 0.139}}],
+ [0.82,0.683,0,{ic: 0.147, krn: {'48': 0.0833}}],
+ [0.796,0.683,0,{ic: 0.0278, krn: {'48': 0.111}}],
+
+ [0.696,0.683,0,{ic: 0.0822, krn: {'48': 0.0833}}],
+ [0.817,0.683,0.0972,{krn: {'48': 0.111}}],
+ [0.848,0.683,0,{krn: {'48': 0.0833}}],
+ [0.606,0.683,0,{ic: 0.075, krn: {'48': 0.139}}],
+ [0.545,0.683,0,{ic: 0.254, krn: {'48': 0.0278}}],
+ [0.626,0.683,0,{ic: 0.0993, krn: {'48': 0.0833}}],
+ [0.613,0.683,0,{ic: 0.0822, krn: {'48': 0.0278}}],
+ [0.988,0.683,0,{ic: 0.0822, krn: {'48': 0.0833}}],
+ [0.713,0.683,0,{ic: 0.146, krn: {'48': 0.139}}],
+ [0.668,0.683,0.0972,{ic: 0.0822, krn: {'48': 0.0833}}],
+ [0.725,0.683,0,{ic: 0.0794, krn: {'48': 0.139}}],
+ [0.667,0.556], [0.667,0.556], [0.667,0.556], [0.667,0.556], [0.667,0.556],
+
+ [0.611,0.694], [0.611,0.694], [0.444,0.75,0.25], [0.444,0.75,0.25],
+ [0.444,0.75,0.25], [0.444,0.75,0.25], [0.5,0.75,0.25], [0.5,0.75,0.25],
+ [0.389,0.75,0.25], [0.389,0.75,0.25], [0.278,0.75,0.25], [0.5,0.75,0.25],
+ [0.5,0.75,0.25], [0.611,0.75,0.25], [0.5,0.75,0.25], [0.278,0.694,0.194],
+
+ [0.833,0.04,0.96], [0.75,0.683], [0.833,0.683], [0.417,0.694,0.194,{ic: 0.111}],
+ [0.667,0.556], [0.667,0.556], [0.778,0.636,0.136], [0.778,0.636,0.136],
+ [0.444,0.694,0.194], [0.444,0.694,0.194], [0.444,0.694,0.194],
+ [0.611,0.694,0.194], [0.778,0.694,0.13], [0.778,0.694,0.13],
+ [0.778,0.694,0.13], [0.778,0.694,0.13]
+ ],
+
+ cmex10: [
+ [0.458,0.04,1.16,{n: 16}], [0.458,0.04,1.16,{n: 17}],
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+ [0.901,0.686,0,{krn: {'79': -0.0319, '67': -0.0319, '71': -0.0319, '81': -0.0319}}],
+ [0.692,0.686,0,{krn: {'84': -0.0958, '89': -0.0958, '86': -0.128, '87': -0.128}}],
+ [1.09,0.686], [0.9,0.686],
+ [0.864,0.686,0,{krn: {'88': -0.0319, '87': -0.0319, '65': -0.0319, '86': -0.0319, '89': -0.0319}}],
+
+ [0.786,0.686,0,{krn: {'65': -0.0958, '111': -0.0319, '101': -0.0319, '97': -0.0319, '46': -0.0958, '44': -0.0958}}],
+ [0.864,0.686,0.194],
+ [0.862,0.686,0,{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}}],
+ [0.639,0.686],
+ [0.8,0.686,0,{krn: {'121': -0.0319, '101': -0.0958, '111': -0.0958, '114': -0.0958, '97': -0.0958, '65': -0.0958, '117': -0.0958}}],
+ [0.885,0.686],
+ [0.869,0.686,0,{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}}],
+ [1.19,0.686,0,{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}}],
+ [0.869,0.686,0,{krn: {'79': -0.0319, '67': -0.0319, '71': -0.0319, '81': -0.0319}}],
+ [0.869,0.686,0,{ic: 0.0287, krn: {'101': -0.0958, '111': -0.0958, '114': -0.0958, '97': -0.0958, '65': -0.0958, '117': -0.0958}}],
+ [0.703,0.686], [0.319,0.75,0.25], [0.603,0.694], [0.319,0.75,0.25],
+ [0.575,0.694], [0.319,0.694],
+
+ [0.319,0.694,0,{lig: {'96': 92}}],
+ [0.559,0.444,0,{krn: {'118': -0.0319, '106': 0.0639, '121': -0.0319, '119': -0.0319}}],
+ [0.639,0.694,0,{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}}],
+ [0.511,0.444,0,{krn: {'104': -0.0319, '107': -0.0319}}],
+ [0.639,0.694], [0.527,0.444],
+ [0.351,0.694,0,{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}}],
+ [0.575,0.444,0.194,{ic: 0.016, krn: {'106': 0.0319}}],
+ [0.639,0.694,0,{krn: {'116': -0.0319, '117': -0.0319, '98': -0.0319, '121': -0.0319, '118': -0.0319, '119': -0.0319}}],
+ [0.319,0.694], [0.351,0.694,0.194],
+ [0.607,0.694,0,{krn: {'97': -0.0639, '101': -0.0319, '97': -0.0319, '111': -0.0319, '99': -0.0319}}],
+ [0.319,0.694],
+ [0.958,0.444,0,{krn: {'116': -0.0319, '117': -0.0319, '98': -0.0319, '121': -0.0319, '118': -0.0319, '119': -0.0319}}],
+ [0.639,0.444,0,{krn: {'116': -0.0319, '117': -0.0319, '98': -0.0319, '121': -0.0319, '118': -0.0319, '119': -0.0319}}],
+ [0.575,0.444,0,{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}}],
+
+ [0.639,0.444,0.194,{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}}],
+ [0.607,0.444,0.194], [0.474,0.444], [0.454,0.444],
+ [0.447,0.635,0,{krn: {'121': -0.0319, '119': -0.0319}}],
+ [0.639,0.444,0,{krn: {'119': -0.0319}}],
+ [0.607,0.444,0,{ic: 0.016, krn: {'97': -0.0639, '101': -0.0319, '97': -0.0319, '111': -0.0319, '99': -0.0319}}],
+ [0.831,0.444,0,{ic: 0.016, krn: {'101': -0.0319, '97': -0.0319, '111': -0.0319, '99': -0.0319}}],
+ [0.607,0.444],
+ [0.607,0.444,0.194,{ic: 0.016, krn: {'111': -0.0319, '101': -0.0319, '97': -0.0319, '46': -0.0958, '44': -0.0958}}],
+ [0.511,0.444], [0.575,0.444,0,{ic: 0.0319, lig: {'45': 124}}],
+ [1.15,0.444,0,{ic: 0.0319}], [0.575,0.694], [0.575,0.694], [0.575,0.694]
+ ]
+};
+
+/***************************************************************************/
+
+/*
+ * Implement image-based fonts for fallback method
+ */
+jsMath.Img = {
+
+ // font sizes available
+ fonts: [50, 60, 70, 85, 100, 120, 144, 173, 207, 249, 298, 358, 430],
+
+ // em widths for the various font size directories
+ w: {'50': 6.9, '60': 8.3, '70': 9.7, '85': 11.8, '100': 13.9,
+ '120': 16.7, '144': 20.0, '173': 24.0, '207': 28.8, '249': 34.6,
+ '298': 41.4, '358': 49.8, '430': 59.8},
+
+ best: 4, // index of best font size in the fonts list
+ update: {}, // fonts to update (see UpdateFonts below)
+ factor: 1, // factor by which to shrink images (for better printing)
+ loaded: 0, // image fonts are loaded
+
+ // add characters to be drawn using images
+ SetFont: function (change) {
+ for (var font in change) {
+ if (!this.update[font]) {this.update[font] = []}
+ this.update[font] = this.update[font].concat(change[font]);
+ }
+ },
+
+ /*
+ * Called by the exta-font definition files to add an image font
+ * into the mix
+ */
+ AddFont: function (size,def) {
+ if (!jsMath.Img[size]) {jsMath.Img[size] = {}};
+ jsMath.Add(jsMath.Img[size],def);
+ },
+
+ /*
+ * Update font(s) to use image data rather than native fonts
+ * It looks in the jsMath.Img.update array to find the names
+ * of the fonts to udpate, and the arrays of character codes
+ * to set (or 'all' to change every character);
+ */
+ UpdateFonts: function () {
+ var change = this.update; if (!this.loaded) return;
+ for (var font in change) {
+ for (var i = 0; i < change[font].length; i++) {
+ var c = change[font][i];
+ if (c == 'all') {for (c in jsMath.TeX[font]) {jsMath.TeX[font][c].img = {}}}
+ else {jsMath.TeX[font][c].img = {}}
+ }
+ }
+ this.update = {};
+ },
+
+ /*
+ * Find the font size that best fits our current font
+ * (this is the directory name for the img files used
+ * in some fallback modes).
+ */
+ BestSize: function () {
+ var w = jsMath.em * this.factor;
+ var m = this.w[this.fonts[0]];
+ for (var i = 1; i < this.fonts.length; i++) {
+ if (w < (this.w[this.fonts[i]] + 2*m) / 3) {return i-1}
+ m = this.w[this.fonts[i]];
+ }
+ return i-1;
+ },
+
+ /*
+ * Get the scaling factor for the image fonts
+ */
+ Scale: function () {
+ if (!this.loaded) return;
+ this.best = this.BestSize();
+ this.em = jsMath.Img.w[this.fonts[this.best]];
+ this.scale = (jsMath.em/this.em);
+ if (Math.abs(this.scale - 1) < .12) {this.scale = 1}
+ },
+
+ /*
+ * Get URL to directory for given font and size, based on the
+ * user's alpha/plain setting
+ */
+ URL: function (name,size,C) {
+ var type = (jsMath.Controls.cookie.alpha) ? '/alpha/': '/plain/';
+ if (C == null) {C = "def.js"} else {C = 'char'+C+'.png'}
+ if (size != "") {size += '/'}
+ return this.root+name+type+size+C;
+ },
+
+ /*
+ * Laod the data for an image font
+ */
+ LoadFont: function (name) {
+ if (!this.loaded) this.Init();
+ jsMath.Setup.Script(this.URL(name,""));
+ },
+
+ /*
+ * Setup for print mode, and create the hex code table
+ */
+ Init: function () {
+ if (jsMath.Controls.cookie.print || jsMath.Controls.cookie.stayhires) {
+ jsMath.Controls.cookie.print = jsMath.Controls.cookie.stayhires;
+ this.factor *= 3;
+ if (!jsMath.Controls.isLocalCookie || !jsMath.Global.isLocal) {jsMath.Controls.SetCookie(0)}
+ if (jsMath.Browser.alphaPrintBug) {jsMath.Controls.cookie.alpha = 0}
+ }
+ var codes = '0123456789ABCDEF';
+ this.HexCode = [];
+ for (var i = 0; i < 128; i++) {
+ var h = Math.floor(i/16); var l = i - 16*h;
+ this.HexCode[i] = codes.charAt(h)+codes.charAt(l);
+ }
+ this.loaded = 1;
+ }
+
+};
+
+/***************************************************************************/
+
+/*
+ * 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) {
+ 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.Browser.msieSpaceFix+'';
+ },
+
+ /*
+ * Create a blank rectangle of the given size
+ * If the height is small, it is converted to pixels so that it
+ * will not disappear at small font sizes.
+ */
+
+ Blank: function (w,h,d,isRule) {
+ var backspace = ''; var style = ''
+ if (isRule) {
+ style += 'border-left:'+this.Em(w)+' solid;';
+ if (jsMath.Browser.widthAddsBorder) {w = 0};
+ }
+ if (w == 0) {
+ if (jsMath.Browser.blankWidthBug) {
+ if (jsMath.Browser.quirks) {
+ style += 'width:1px;';
+ backspace = ''
+ } else if (!isRule) {
+ style += 'width:1px;margin-right:-1px;';
+ }
+ }
+ } else {style += 'width:'+this.Em(w)+';'}
+ if (d == null) {d = 0}
+ if (h) {
+ var H = this.Em(h+d);
+ if (isRule && h*jsMath.em <= 1.5) {H = "1.5px"; h = 1.5/jsMath.em}
+ style += 'height:'+H+';';
+ }
+ if (jsMath.Browser.mozInlineBlockBug) {d = -h}
+ if (jsMath.Browser.msieBlockDepthBug && !isRule) {d -= jsMath.d}
+ if (d) {style += 'vertical-align:'+this.Em(-d)}
+ return backspace+'';
+ },
+
+ /*
+ * Create a rule line for fractions, etc.
+ */
+ Rule: function (w,h) {
+ if (h == null) {h = jsMath.TeX.default_rule_thickness}
+ return this.Blank(w,h,0,1);
+ },
+
+ /*
+ * Create a strut for measuring position of baseline
+ */
+ Strut: function (h) {return this.Blank(1,h,0,1)},
+ msieStrut: function (h) {
+ return '![]()
'
+ },
+
+ /*
+ * Add a tag to activate a specific CSS class
+ */
+ Class: function (tclass,html) {
+ return ''+html+'';
+ },
+
+ /*
+ * Use a 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 = '' + html + '';
+ }
+ return html;
+ },
+
+ /*
+ * For MSIE on Windows, backspacing must be done in a separate
+ * , otherwise the contents will be clipped. Netscape
+ * also doesn't combine vertical and horizontal spacing well.
+ * Here the x and y positioning are done in separate tags
+ */
+ PlaceSeparateSkips: function (html,x,y,mw,Mw,w) {
+ if (Math.abs(x) < .0001) {x = 0}
+ if (Math.abs(y) < .0001) {y = 0}
+ if (y) {
+ var lw = 0; var rw = 0; var width = "";
+ if (mw != null) {
+ rw = Mw - w; lw = mw;
+ width = ' width:'+this.Em(Mw-mw)+';';
+ }
+ html =
+ this.Spacer(lw-rw) +
+ '' +
+ this.Spacer(-lw) +
+ html +
+ this.Spacer(rw) +
+ ''
+ }
+ if (x) {html = this.Spacer(x) + html}
+ return html;
+ },
+
+ /*
+ * Place a SPAN with absolute coordinates
+ */
+ PlaceAbsolute: function (html,x,y,mw,Mw,w) {
+ if (Math.abs(x) < .0001) {x = 0}
+ if (Math.abs(y) < .0001) {y = 0}
+ var leftSpace = ""; var rightSpace = ""; var width = "";
+ if (jsMath.Browser.msieRelativeClipBug && mw != null) {
+ leftSpace = this.Spacer(-mw); x += mw;
+ rightSpace = this.Spacer(Mw-w);
+ }
+ if (jsMath.Browser.operaAbsoluteWidthBug) {width = " width: "+this.Em(w+2)}
+ html =
+ '' +
+ leftSpace + html + rightSpace +
+ ' ' + // space normalizes line height in script styles
+ '';
+ return html;
+ },
+
+ Absolute: function(html,w,h,d,y) {
+ if (y != "none") {
+ if (Math.abs(y) < .0001) {y = 0}
+ html = ''
+ + html + ' ' // space normalizes line height in script styles
+ + '';
+ }
+ if (d == "none") {d = 0}
+ html += this.Blank((jsMath.Browser.lineBreakBug ? 0 : w),h-d,d);
+ if (jsMath.Browser.msieAbsoluteBug) { // for MSIE (Mac)
+ html = '' + html + '';
+ }
+ html = '' + html + '';
+ if (jsMath.Browser.lineBreakBug)
+ {html = ''+html+''}
+ 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.mw = 0; this.Mw = w;
+ this.html = text; this.format = format;
+};
+
+
+jsMath.Add(jsMath.Box,{
+
+ defaultH: 0, // default height for characters with none specified
+
+ /*
+ * An empty box
+ */
+ Null: function () {return 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) {box.d = d*TeX.scale} else {box.d = 0}
+ if (a == null || a == 1) {box.h = .9*TeX.M_height}
+ else {box.h = 1.1*TeX.x_height + TeX.scale*a}
+ 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) {
+ var c = jsMath.TeX[font][C];
+ if (c.d == null) {c.d = 0}; if (c.h == null) {c.h = 0}
+ if (c.img != null && c.c != '') this.TeXIMG(font,C,jsMath.Typeset.StyleSize(style,size));
+ var scale = jsMath.Typeset.TeX(style,size).scale;
+ var box = new jsMath.Box('text',c.c,c.w*scale,c.h*scale,c.d*scale);
+ box.style = style; box.size = size;
+ if (c.tclass) {
+ box.tclass = c.tclass;
+ if (c.img) {box.bh = c.img.bh; box.bd = c.img.bd}
+ else {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.Browser.msieFontBug && box.html.match(/&#/)) {
+ // hack to avoid font changing back to the default
+ // font when a unicode reference is not followed
+ // by a letter or number
+ box.html += 'x';
+ }
+ }
+ return box;
+ },
+
+ /*
+ * In fallback modes, handle the fact that we don't have the
+ * sizes of the characters precomputed
+ */
+ TeXfallback: function (C,font,style,size) {
+ var c = jsMath.TeX[font][C]; if (!c.tclass) {c.tclass = font}
+ if (c.img != null) {return this.TeXnonfallback(C,font,style,size)}
+ if (c.h != null && c.a == null) {c.a = c.h-1.1*jsMath.TeX.x_height}
+ var a = c.a; var d = c.d; // avoid Firefox warnings
+ var box = this.Text(c.c,c.tclass,style,size,a,d);
+ var scale = jsMath.Typeset.TeX(style,size).scale;
+ if (c.bh != null) {
+ box.bh = c.bh*scale;
+ box.bd = c.bd*scale;
+ } else {
+ var h = box.bd+box.bh;
+ var html = jsMath.Typeset.AddClass(box.tclass,box.html);
+ html = jsMath.Typeset.AddStyle(style,size,html);
+ box.bd = jsMath.EmBoxFor(html + jsMath.HTML.Strut(h)).h - h;
+ box.bh = h - box.bd;
+ if (scale == 1) {c.bh = box.bh; c.bd = box.bd}
+ }
+ if (jsMath.msieFontBug && box.html.match(/&#/))
+ {box.html += 'x'}
+ return box;
+ },
+
+ /*
+ * Set the character's string to the appropriate image file
+ */
+ TeXIMG: function (font,C,size) {
+ var c = jsMath.TeX[font][C];
+ if (c.img.size != null && c.img.size == size &&
+ c.img.best != null && c.img.best == jsMath.Img.best) return;
+ var mustScale = (jsMath.Img.scale != 1);
+ var id = jsMath.Img.best + size - 4;
+ if (id < 0) {id = 0; mustScale = 1} else
+ if (id >= jsMath.Img.fonts.length) {id = jsMath.Img.fonts.length-1; mustScale = 1}
+ var imgFont = jsMath.Img[jsMath.Img.fonts[id]];
+ var img = imgFont[font][C];
+ var scale = 1/jsMath.Img.w[jsMath.Img.fonts[id]];
+ if (id != jsMath.Img.best + size - 4) {
+ if (c.w != null) {scale = c.w/img[0]} else {
+ scale *= jsMath.Img.fonts[size]/jsMath.Img.fonts[4]
+ * jsMath.Img.fonts[jsMath.Img.best]/jsMath.Img.fonts[id];
+ }
+ }
+ var w = img[0]*scale; var h = img[1]*scale; var d = -img[2]*scale; var v;
+ var wadjust = (c.w == null || Math.abs(c.w-w) < .01)? "" : " margin-right:"+jsMath.HTML.Em(c.w-w)+';';
+ var resize = ""; C = jsMath.Img.HexCode[C];
+ if (!mustScale && !jsMath.Controls.cookie.scaleImg) {
+ if (jsMath.Browser.mozImageSizeBug || 2*w < h ||
+ (jsMath.Browser.msieAlphaBug && jsMath.Controls.cookie.alpha))
+ {resize = "height:"+(img[1]*jsMath.Browser.imgScale)+'px;'}
+ resize += " width:"+(img[0]*jsMath.Browser.imgScale)+'px;'
+ v = -img[2]+'px';
+ } else {
+ if (jsMath.Browser.mozImageSizeBug || 2*w < h ||
+ (jsMath.Browser.msieAlphaBug && jsMath.Controls.cookie.alpha))
+ {resize = "height:"+jsMath.HTML.Em(h*jsMath.Browser.imgScale)+';'}
+ resize += " width:"+jsMath.HTML.Em(w*jsMath.Browser.imgScale)+';'
+ v = jsMath.HTML.Em(d);
+ }
+ var vadjust = (Math.abs(d) < .01 && !jsMath.Browser.valignBug)?
+ "": " vertical-align:"+v+';';
+ var URL = jsMath.Img.URL(font,jsMath.Img.fonts[id],C);
+ if (jsMath.Browser.msieAlphaBug && jsMath.Controls.cookie.alpha) {
+ c.c = '
';
+ } else {
+ c.c = '
';
+ }
+ c.tclass = "normal";
+ c.img.bh = h+d; c.img.bd = -d;
+ c.img.size = size; c.img.best = jsMath.Img.best;
+ },
+
+ /*
+ * 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}
+ var html = jsMath.HTML.Rule(w,h);
+ return new jsMath.Box('html',html,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.img != null) {this.TeXIMG(font,code,4)}
+ 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.Box.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 null;
+ 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.Box.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;
+ }
+ return null;
+ },
+
+ /*
+ * 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 Y; var html; var dx; var i; var n;
+ if (C.delim.mid) {// braces
+ var mid = this.GetChar(C.delim.mid,font);
+ 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}; Y = y;
+ 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 (i = 0; i < n; i++) {html += jsMath.HTML.Place(ext,-w,y-i*h)}
+ y -= H/2 - rep.h/2;
+ for (i = 0; i < n; i++) {html += jsMath.HTML.Place(ext,-w,y-i*h)}
+ } else {// everything else
+ 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}; Y = y;
+ 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 (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 html;
+ 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 n; var h; var y; var ext; var i;
+
+ if (C.delim.mid) {// braces
+ var mid = this.GetChar(C.delim.mid,font);
+ 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);
+ h = rep.h+rep.d - .05; y = top.d-.05 + rep.h;
+ ext = jsMath.Typeset.AddClass(rep.tclass,rep.c)
+ for (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 (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
+ 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);
+ h = rep.h+rep.d-.05; y = top.d-.05 + rep.h;
+ ext = jsMath.Typeset.AddClass(rep.tclass,rep.c);
+ for (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}
+ if (jsMath.Controls.cookie.font === "unicode") {
+ if (jsMath.Browser.msie8HeightBug) {y -= jsMath.hd}
+ else if (jsMath.Browser.msieBlockDepthBug) {y += jsMath.d}
+ }
+ html = jsMath.HTML.Absolute(html,w,Font.h,"none",-y);
+ 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);
+ if (!delim) {return this.Space(TeX.nulldelimiterspace)}
+ var CFSH = this.DelimBestFit(H,delim[2],delim[1],style);
+ if (CFSH == null || CFSH[3] < H)
+ {CFSH = this.DelimBestFit(H,delim[4],delim[3],style)}
+ if (CFSH == null) {return this.Space(TeX.nulldelimiterspace)}
+ if (CFSH[2] == '')
+ {return this.DelimExtend(H,CFSH[0],CFSH[1],TeX.axis_height,nocenter)}
+ var box = jsMath.Box.TeX(CFSH[0],CFSH[1],CFSH[2],size).Styled();
+ if (!nocenter) {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[0]];
+ var Font = jsMath.TeX[font];
+ var c = Font[code[1]];
+ if (c.img != null) {this.TeXIMG(font,code[1],4)}
+ 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 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,rspacing,vspace,useStrut,addWidth) {
+ if (align == null) {align = []}
+ if (cspacing == null) {cspacing = []}
+ if (rspacing == null) {rspacing = []}
+ if (useStrut == null) {useStrut = 1}
+ if (addWidth == null) {addWidth = 1}
+
+ // 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++) {
+ if (rspacing[i] == null) {rspacing[i] = 0}
+ row = table[i];
+ H[i] = useStrut*jsMath.h*scale; D[i] = useStrut*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 (rspacing[table.length] == null) {rspacing[table.length] = 0}
+ if (bh == unset) {bh = 0}; if (bd == unset) {bd = 0}
+
+ // lay out the columns
+ var HD = useStrut*(jsMath.hd-.01)*scale;
+ var dy = (vspace || 1) * scale/6;
+ 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]-rspacing[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+1 < table.length) {y -= Math.max(HD,D[i]+H[i+1]) + dy + rspacing[i+1]}
+ }
+ 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)*dy + rspacing[0];
+ 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]) + rspacing[i+1]}
+ 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] + addWidth*scale/6);
+ html = jsMath.HTML.Place(html,addWidth*scale/6,h);
+ box = new jsMath.Box('html',html,w+addWidth*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,rspacing,vspace,useStrut,addWidth) {
+ if (align == null) {align = []}
+ if (cspacing == null) {cspacing = []}
+ if (rspacing == null) {rspacing = []}
+ if (useStrut == null) {useStrut = 1}
+ if (addWidth == null) {addWidth = 1}
+ // get row and column maximum dimensions
+ var scale = jsMath.sizes[size]/100;
+ var HD = useStrut*(jsMath.hd-.01)*scale;
+ var dy = (vspace || 1) * scale/6;
+ 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++) {
+ if (rspacing[i] == null) {rspacing[i] = 0}
+ row = table[i];
+ H[i] = useStrut*jsMath.h*scale; D[i] = useStrut*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 (rspacing[table.length] == null) {rspacing[table.length] = 0}
+
+ // get the height and depth of the centered table
+ y = (H.length-1)*dy + rspacing[0];
+ for (i = 0; i < H.length; i++) {y += Math.max(HD,H[i]+D[i]) + rspacing[i+1]}
+ h = y/2 + jsMath.TeX.axis_height; var d = y - h;
+
+ // lay out the columns
+ var html = ''; var entry; w = addWidth*scale/6;
+ for (j = 0; j < W.length; j++) {
+ y = H[0]-h + rspacing[0];
+ for (i = 0; i < table.length; i++) {
+ entry = table[i][j];
+ if (entry && entry.format != 'null') {
+ if (align[j] && align[j] == 'l') {x = 0} else
+ if (align[j] && 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),
+ entry.mw,entry.Mw,entry.w);
+ }
+ if (i+1 < table.length) {y += Math.max(HD,D[i]+H[i+1]) + dy + rspacing[i+1]}
+ }
+ if (cspacing[j] == null) cspacing[j] = scale;
+ w += W[j] + cspacing[j];
+ }
+
+ // get the full width
+ w = -cspacing[W.length-1]+addWidth*scale/3;
+ for (i = 0; i < W.length; i++) {w += W[i] + cspacing[i]}
+
+ html = jsMath.HTML.Spacer(addWidth*scale/6)+html+jsMath.HTML.Spacer(addWidth*scale/6);
+ if (jsMath.Browser.spanHeightVaries) {y = h-jsMath.h} else {y = 0}
+ if (jsMath.Browser.msie8HeightBug) {y = d-jsMath.d}
+ html = jsMath.HTML.Absolute(html,w,h+d,d,y);
+ var box = new jsMath.Box('html',html,w+addWidth*scale/3,h,d);
+ return box;
+ },
+
+ /*
+ * Look for math within \hbox and other non-math text
+ */
+ InternalMath: function (text,size) {
+ if (!jsMath.safeHBoxes) {text = text.replace(/@\(([^)]*)\)/g,'<$1>')}
+ if (!text.match(/\$|\\\(/))
+ {return this.Text(this.safeHTML(text),'normal','T',size).Styled()}
+
+ var i = 0; var k = 0; var c; var match = '';
+ var mlist = []; var parse, s;
+ 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,.2);
+ } else {
+ parse.Atomize();
+ mlist[mlist.length] = parse.mlist.Typeset('T',size).Styled();
+ }
+ match = ''; k = i;
+ } else {
+ s = this.safeHTML(text.slice(k,i-1));
+ mlist[mlist.length] = this.Text(s,'normal','T',size,1,.2);
+ match = '$'; k = i;
+ }
+ } else if (c == '\\') {
+ c = text.charAt(i++);
+ if (c == '(' && match == '') {
+ s = this.safeHTML(text.slice(k,i-2));
+ mlist[mlist.length] = this.Text(s,'normal','T',size,1,.2);
+ 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,.2);
+ } else {
+ parse.Atomize();
+ mlist[mlist.length] = parse.mlist.Typeset('T',size).Styled();
+ }
+ match = ''; k = i;
+ }
+ }
+ }
+ s = this.safeHTML(text.slice(k));
+ mlist[mlist.length] = this.Text(s,'normal','T',size,1,.2);
+ return this.SetList(mlist,'T',size);
+ },
+
+ /*
+ * Quote HTML characters if we are in safe mode
+ */
+ safeHTML: function (s) {
+ if (jsMath.safeHBoxes) {
+ s = s.replace(/&/g,'&')
+ .replace(//g,'>');
+ }
+ return s;
+ },
+
+ /*
+ * 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 && box.type) {
+ 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||null,box.descend||null);
+ 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) {
+ var w = this.w; this.w = jsMath.EmBoxFor(this.html).w;
+ if (this.w > this.Mw) {this.Mw = this.w}
+ w = this.w/w; if (Math.abs(w-1) > .05) {this.h *= w; this.d *= w}
+ }
+ return this;
+ }
+
+});
+
+
+/***************************************************************************/
+
+/*
+ * mItems are the building 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('ord',{atom:1, 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 nuclii 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++) {
+ var 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 \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 = box.Mw = box.mw = 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 = 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.mw,mitem.nuc.Mw,mitem.nuc.w);
+ 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 && prev.type) {
+ 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 && 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 && 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 && 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,[0,2,0x70,3,0x70],style,1);
+// if (surd.h > 0) {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 || null,Cr,size).Remeasured();
+ if (mitem.root) {
+ root.y = .55*(box.h+box.d+3*t+r)-box.d;
+ surd.x = Math.max(root.w-(11/18)*surd.w,0);
+ rule.x = (7/18)*surd.w;
+ root.x = -(root.w+rule.x);
+ }
+ mitem.nuc = jsMath.Box.SetList([surd,root,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; var ic = 0;
+ 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]}
+ ic = Font[mitem.nuc.c].ic; if (ic == null) {ic = 0}
+ }
+ if (s == null) {s = 0}
+
+ var c = mitem.accent[2];
+ var font = jsMath.TeX.fam[mitem.accent[1]]; 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 (jsMath.Browser.msieAccentBug)
+ {acc.html += jsMath.HTML.Spacer(.1); acc.w += .1; acc.Mw += .1}
+ if (Font[c].ic || ic) {acc.x += (ic - (Font[c].ic||0)) * 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 = mitem.nuc = jsMath.Box.Set(mitem.nuc,style,size);
+ if (C.ic) {
+ mitem.delta = C.ic * TeX.scale;
+ if (mitem.limits || !mitem.sub || jsMath.Browser.msieIntegralBug) {
+ box = mitem.nuc = 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 = mitem.nuc = 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.Browser.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 p; var r;
+ 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
+ p = (isD)? 7*TeX.default_rule_thickness: 3*TeX.default_rule_thickness;
+ r = (u - num.d) - (den.h - v);
+ if (r < p) {u += (p-r)/2; v += (p-r)/2}
+ } else {// over
+ p = (isD)? 3*t: t; var a = TeX.axis_height;
+ 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 && 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 size associated with a given style and size
+ */
+ StyleSize: 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 size;
+ },
+
+ /*
+ * 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 = '' + html + ''}
+ 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 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.mw = 0; this.Mw = 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.x || mitem.nuc.y) mitem.nuc.Styled();
+ this.dx = 0; this.x = this.x + this.w;
+ if (this.x + mitem.nuc.x + mitem.nuc.mw < this.mw)
+ {this.mw = this.x + mitem.nuc.x + mitem.nuc.mw}
+ if (this.w + mitem.nuc.x + mitem.nuc.Mw > this.Mw)
+ {this.Mw = this.w + mitem.nuc.x + mitem.nuc.Mw}
+ 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); this.w += this.dx;
+ if (this.w > this.Mw) {this.Mw = this.w}
+ if (this.w < this.mw) {this.mw = this.w}
+ }
+ 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;
+ box.mw = this.mw; box.Mw = this.Mw;
+ 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 to position an item's HTML, and
+ * adjust the item's height and depth.
+ * (This may be replaced buy one of the following browser-specific
+ * versions by Browser.Init().)
+ */
+ Place: function (item) {
+ var html = '' + item.html + '';
+ item.h += item.y; item.d -= item.y;
+ item.x = 0; item.y = 0;
+ },
+
+ /*
+ * For MSIE on Windows, backspacing must be done in a separate
+ * , otherwise the contents will be clipped. Netscape
+ * also doesn't combine vertical and horizontal spacing well.
+ * Here, the horizontal and vertical spacing are done separately.
+ */
+
+ PlaceSeparateSkips: function (item) {
+ if (item.y) {
+ var rw = item.Mw - item.w; var lw = item.mw;
+ var W = item.Mw - item.mw;
+ item.html =
+ jsMath.HTML.Spacer(lw-rw) +
+ '' +
+ jsMath.HTML.Spacer(-lw) +
+ item.html +
+ jsMath.HTML.Spacer(rw) +
+ ''
+ }
+ if (item.x) {item.html = jsMath.HTML.Spacer(item.x) + 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]/,
+ // pattern for macros to ^ and _ that should be read with arguments
+ scriptargs: /^((math|text)..|mathcal|[hm]box)$/,
+
+ // the \mathchar definitions (see Appendix B of the TeXbook).
+ mathchar: {
+ '!': [5,0,0x21],
+ '(': [4,0,0x28],
+ ')': [5,0,0x29],
+ '*': [2,2,0x03], // \ast
+ '+': [2,0,0x2B],
+ ',': [6,1,0x3B],
+ '-': [2,2,0x00],
+ '.': [0,1,0x3A],
+ '/': [0,1,0x3D],
+ ':': [3,0,0x3A],
+ ';': [6,0,0x3B],
+ '<': [3,1,0x3C],
+ '=': [3,0,0x3D],
+ '>': [3,1,0x3E],
+ '?': [5,0,0x3F],
+ '[': [4,0,0x5B],
+ ']': [5,0,0x5D],
+// '{': [4,2,0x66],
+// '}': [5,2,0x67],
+ '|': [0,2,0x6A]
+ },
+
+ // handle special \catcode characters
+ special: {
+ '~': 'Tilde',
+ '^': 'HandleSuperscript',
+ '_': 'HandleSubscript',
+ ' ': 'Space',
+ '\01': 'Space',
+ "\t": 'Space',
+ "\r": 'Space',
+ "\n": 'Space',
+ "'": 'Prime',
+ '%': 'HandleComment',
+ '&': 'HandleEntry',
+ '#': 'Hash'
+ },
+
+ // the \mathchardef table (see Appendix B of the TeXbook).
+ mathchardef: {
+ // brace parts
+ braceld: [0,3,0x7A],
+ bracerd: [0,3,0x7B],
+ bracelu: [0,3,0x7C],
+ braceru: [0,3,0x7D],
+
+ // Greek letters
+ alpha: [0,1,0x0B],
+ beta: [0,1,0x0C],
+ gamma: [0,1,0x0D],
+ delta: [0,1,0x0E],
+ epsilon: [0,1,0x0F],
+ zeta: [0,1,0x10],
+ eta: [0,1,0x11],
+ theta: [0,1,0x12],
+ iota: [0,1,0x13],
+ kappa: [0,1,0x14],
+ lambda: [0,1,0x15],
+ mu: [0,1,0x16],
+ nu: [0,1,0x17],
+ xi: [0,1,0x18],
+ pi: [0,1,0x19],
+ rho: [0,1,0x1A],
+ sigma: [0,1,0x1B],
+ tau: [0,1,0x1C],
+ upsilon: [0,1,0x1D],
+ phi: [0,1,0x1E],
+ chi: [0,1,0x1F],
+ psi: [0,1,0x20],
+ omega: [0,1,0x21],
+ varepsilon: [0,1,0x22],
+ vartheta: [0,1,0x23],
+ varpi: [0,1,0x24],
+ varrho: [0,1,0x25],
+ varsigma: [0,1,0x26],
+ varphi: [0,1,0x27],
+
+ Gamma: [7,0,0x00],
+ Delta: [7,0,0x01],
+ Theta: [7,0,0x02],
+ Lambda: [7,0,0x03],
+ Xi: [7,0,0x04],
+ Pi: [7,0,0x05],
+ Sigma: [7,0,0x06],
+ Upsilon: [7,0,0x07],
+ Phi: [7,0,0x08],
+ Psi: [7,0,0x09],
+ Omega: [7,0,0x0A],
+
+ // Ord symbols
+ aleph: [0,2,0x40],
+ imath: [0,1,0x7B],
+ jmath: [0,1,0x7C],
+ ell: [0,1,0x60],
+ wp: [0,1,0x7D],
+ Re: [0,2,0x3C],
+ Im: [0,2,0x3D],
+ partial: [0,1,0x40],
+ infty: [0,2,0x31],
+ prime: [0,2,0x30],
+ emptyset: [0,2,0x3B],
+ nabla: [0,2,0x72],
+ surd: [1,2,0x70],
+ top: [0,2,0x3E],
+ bot: [0,2,0x3F],
+ triangle: [0,2,0x34],
+ forall: [0,2,0x38],
+ exists: [0,2,0x39],
+ neg: [0,2,0x3A],
+ lnot: [0,2,0x3A],
+ flat: [0,1,0x5B],
+ natural: [0,1,0x5C],
+ sharp: [0,1,0x5D],
+ clubsuit: [0,2,0x7C],
+ diamondsuit: [0,2,0x7D],
+ heartsuit: [0,2,0x7E],
+ spadesuit: [0,2,0x7F],
+
+ // big ops
+ coprod: [1,3,0x60],
+ bigvee: [1,3,0x57],
+ bigwedge: [1,3,0x56],
+ biguplus: [1,3,0x55],
+ bigcap: [1,3,0x54],
+ bigcup: [1,3,0x53],
+ intop: [1,3,0x52],
+ prod: [1,3,0x51],
+ sum: [1,3,0x50],
+ bigotimes: [1,3,0x4E],
+ bigoplus: [1,3,0x4C],
+ bigodot: [1,3,0x4A],
+ ointop: [1,3,0x48],
+ bigsqcup: [1,3,0x46],
+ smallint: [1,2,0x73],
+
+ // binary operations
+ triangleleft: [2,1,0x2F],
+ triangleright: [2,1,0x2E],
+ bigtriangleup: [2,2,0x34],
+ bigtriangledown: [2,2,0x35],
+ wedge: [2,2,0x5E],
+ land: [2,2,0x5E],
+ vee: [2,2,0x5F],
+ lor: [2,2,0x5F],
+ cap: [2,2,0x5C],
+ cup: [2,2,0x5B],
+ ddagger: [2,2,0x7A],
+ dagger: [2,2,0x79],
+ sqcap: [2,2,0x75],
+ sqcup: [2,2,0x74],
+ uplus: [2,2,0x5D],
+ amalg: [2,2,0x71],
+ diamond: [2,2,0x05],
+ bullet: [2,2,0x0F],
+ wr: [2,2,0x6F],
+ div: [2,2,0x04],
+ odot: [2,2,0x0C],
+ oslash: [2,2,0x0B],
+ otimes: [2,2,0x0A],
+ ominus: [2,2,0x09],
+ oplus: [2,2,0x08],
+ mp: [2,2,0x07],
+ pm: [2,2,0x06],
+ circ: [2,2,0x0E],
+ bigcirc: [2,2,0x0D],
+ setminus: [2,2,0x6E], // for set difference A\setminus B
+ cdot: [2,2,0x01],
+ ast: [2,2,0x03],
+ times: [2,2,0x02],
+ star: [2,1,0x3F],
+
+ // Relations
+ propto: [3,2,0x2F],
+ sqsubseteq: [3,2,0x76],
+ sqsupseteq: [3,2,0x77],
+ parallel: [3,2,0x6B],
+ mid: [3,2,0x6A],
+ dashv: [3,2,0x61],
+ vdash: [3,2,0x60],
+ leq: [3,2,0x14],
+ le: [3,2,0x14],
+ geq: [3,2,0x15],
+ ge: [3,2,0x15],
+ lt: [3,1,0x3C], // extra since < and > are hard
+ gt: [3,1,0x3E], // to get in HTML
+ succ: [3,2,0x1F],
+ prec: [3,2,0x1E],
+ approx: [3,2,0x19],
+ succeq: [3,2,0x17],
+ preceq: [3,2,0x16],
+ supset: [3,2,0x1B],
+ subset: [3,2,0x1A],
+ supseteq: [3,2,0x13],
+ subseteq: [3,2,0x12],
+ 'in': [3,2,0x32],
+ ni: [3,2,0x33],
+ owns: [3,2,0x33],
+ gg: [3,2,0x1D],
+ ll: [3,2,0x1C],
+ not: [3,2,0x36],
+ sim: [3,2,0x18],
+ simeq: [3,2,0x27],
+ perp: [3,2,0x3F],
+ equiv: [3,2,0x11],
+ asymp: [3,2,0x10],
+ smile: [3,1,0x5E],
+ frown: [3,1,0x5F],
+
+ // Arrows
+ Leftrightarrow: [3,2,0x2C],
+ Leftarrow: [3,2,0x28],
+ Rightarrow: [3,2,0x29],
+ leftrightarrow: [3,2,0x24],
+ leftarrow: [3,2,0x20],
+ gets: [3,2,0x20],
+ rightarrow: [3,2,0x21],
+ to: [3,2,0x21],
+ mapstochar: [3,2,0x37],
+ leftharpoonup: [3,1,0x28],
+ leftharpoondown: [3,1,0x29],
+ rightharpoonup: [3,1,0x2A],
+ rightharpoondown: [3,1,0x2B],
+ nearrow: [3,2,0x25],
+ searrow: [3,2,0x26],
+ nwarrow: [3,2,0x2D],
+ swarrow: [3,2,0x2E],
+
+ minuschar: [3,2,0x00], // for longmapsto
+ hbarchar: [0,0,0x16], // for \hbar
+ lhook: [3,1,0x2C],
+ rhook: [3,1,0x2D],
+
+ ldotp: [6,1,0x3A], // ldot as a punctuation mark
+ cdotp: [6,2,0x01], // cdot as a punctuation mark
+ colon: [6,0,0x3A], // colon as a punctuation mark
+
+ '#': [7,0,0x23],
+ '$': [7,0,0x24],
+ '%': [7,0,0x25],
+ '&': [7,0,0x26]
+ },
+
+ // The delimiter table (see Appendix B of the TeXbook)
+ delimiter: {
+ '(': [0,0,0x28,3,0x00],
+ ')': [0,0,0x29,3,0x01],
+ '[': [0,0,0x5B,3,0x02],
+ ']': [0,0,0x5D,3,0x03],
+ '<': [0,2,0x68,3,0x0A],
+ '>': [0,2,0x69,3,0x0B],
+ '\\lt': [0,2,0x68,3,0x0A], // extra since < and > are
+ '\\gt': [0,2,0x69,3,0x0B], // hard to get in HTML
+ '/': [0,0,0x2F,3,0x0E],
+ '|': [0,2,0x6A,3,0x0C],
+ '.': [0,0,0x00,0,0x00],
+ '\\': [0,2,0x6E,3,0x0F],
+ '\\lmoustache': [4,3,0x7A,3,0x40], // top from (, bottom from )
+ '\\rmoustache': [5,3,0x7B,3,0x41], // top from ), bottom from (
+ '\\lgroup': [4,6,0x28,3,0x3A], // extensible ( with sharper tips
+ '\\rgroup': [5,6,0x29,3,0x3B], // extensible ) with sharper tips
+ '\\arrowvert': [0,2,0x6A,3,0x3C], // arrow without arrowheads
+ '\\Arrowvert': [0,2,0x6B,3,0x3D], // double arrow without arrowheads
+// '\\bracevert': [0,7,0x7C,3,0x3E], // the vertical bar that extends braces
+ '\\bracevert': [0,2,0x6A,3,0x3E], // we don't load tt, so use | instead
+ '\\Vert': [0,2,0x6B,3,0x0D],
+ '\\|': [0,2,0x6B,3,0x0D],
+ '\\vert': [0,2,0x6A,3,0x0C],
+ '\\uparrow': [3,2,0x22,3,0x78],
+ '\\downarrow': [3,2,0x23,3,0x79],
+ '\\updownarrow': [3,2,0x6C,3,0x3F],
+ '\\Uparrow': [3,2,0x2A,3,0x7E],
+ '\\Downarrow': [3,2,0x2B,3,0x7F],
+ '\\Updownarrow': [3,2,0x6D,3,0x77],
+ '\\backslash': [0,2,0x6E,3,0x0F], // for double coset G\backslash H
+ '\\rangle': [5,2,0x69,3,0x0B],
+ '\\langle': [4,2,0x68,3,0x0A],
+ '\\rbrace': [5,2,0x67,3,0x09],
+ '\\lbrace': [4,2,0x66,3,0x08],
+ '\\}': [5,2,0x67,3,0x09],
+ '\\{': [4,2,0x66,3,0x08],
+ '\\rceil': [5,2,0x65,3,0x07],
+ '\\lceil': [4,2,0x64,3,0x06],
+ '\\rfloor': [5,2,0x63,3,0x05],
+ '\\lfloor': [4,2,0x62,3,0x04],
+ '\\lbrack': [0,0,0x5B,3,0x02],
+ '\\rbrack': [0,0,0x5D,3,0x03]
+ },
+
+ /*
+ * 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],
+
+ font: ['Extension','font'],
+
+ 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,'liminf'],
+ limsup: ['NamedOp',null,'limsup'],
+ 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: ['Extension','leaders'],
+ underbrace: ['Extension','leaders'],
+ overrightarrow: ['Extension','leaders'],
+ underrightarrow: ['Extension','leaders'],
+ overleftarrow: ['Extension','leaders'],
+ underleftarrow: ['Extension','leaders'],
+ overleftrightarrow: ['Extension','leaders'],
+ underleftrightarrow: ['Extension','leaders'],
+ overset: ['Extension','underset-overset'],
+ underset: ['Extension','underset-overset'],
+
+ 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','\\mathrel{\\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','\\mathrel{\\mapstochar\\minuschar\\joinrel\\rightarrow}'],
+ longleftrightarrow: ['Macro','\\leftarrow\\joinrel\\rightarrow'],
+ Longleftrightarrow: ['Macro','\\Leftarrow\\joinrel\\Rightarrow'],
+ iff: ['Macro','\\;\\Longleftrightarrow\\;'],
+ mathcal: ['Macro','{\\cal #1}',1],
+ mathrm: ['Macro','{\\rm #1}',1],
+ mathbf: ['Macro','{\\bf #1}',1],
+ mathbb: ['Macro','{\\bf #1}',1],
+ mathit: ['Macro','{\\it #1}',1],
+ textrm: ['Macro','\\mathord{\\hbox{#1}}',1],
+ textit: ['Macro','\\mathord{\\class{textit}{\\hbox{#1}}}',1],
+ textbf: ['Macro','\\mathord{\\class{textbf}{\\hbox{#1}}}',1],
+ pmb: ['Macro','\\rlap{#1}\\kern1px{#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','colored'],
+ 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: ['Extension','mathchoice'],
+ buildrel: 'BuildRel',
+
+ hbox: 'HBox',
+ text: 'HBox',
+ mbox: 'HBox',
+ fbox: ['Extension','fbox'],
+
+ strut: 'Strut',
+ mathstrut: ['Macro','\\vphantom{(}'],
+ phantom: ['Phantom',1,1],
+ vphantom: ['Phantom',1,0],
+ hphantom: ['Phantom',0,1],
+ smash: 'Smash',
+
+ acute: ['MathAccent', [7,0,0x13]],
+ grave: ['MathAccent', [7,0,0x12]],
+ ddot: ['MathAccent', [7,0,0x7F]],
+ tilde: ['MathAccent', [7,0,0x7E]],
+ bar: ['MathAccent', [7,0,0x16]],
+ breve: ['MathAccent', [7,0,0x15]],
+ check: ['MathAccent', [7,0,0x14]],
+ hat: ['MathAccent', [7,0,0x5E]],
+ vec: ['MathAccent', [0,1,0x7E]],
+ dot: ['MathAccent', [7,0,0x5F]],
+ widetilde: ['MathAccent', [0,3,0x65]],
+ widehat: ['MathAccent', [0,3,0x62]],
+
+ '_': ['Replace','ord','_','normal',-.4,.1],
+ ' ': ['Replace','ord',' ','normal'],
+// angle: ['Replace','ord','∠','normal'],
+ angle: ['Macro','\\kern2.5mu\\raise1.54pt{\\rlap{\\scriptstyle \\char{cmsy10}{54}}\\kern1pt\\rule{.45em}{-1.2pt}{1.54pt}\\kern2.5mu}'],
+
+ matrix: 'Matrix',
+ array: 'Matrix', // ### still need to do alignment options ###
+ pmatrix: ['Matrix','(',')','c'],
+ cases: ['Matrix','\\{','.',['l','l'],null,2],
+ eqalign: ['Matrix',null,null,['r','l'],[5/18],3,'D'],
+ displaylines: ['Matrix',null,null,['c'],null,3,'D'],
+ cr: 'HandleRow',
+ '\\': 'HandleRow',
+ newline: 'HandleRow',
+ noalign: 'HandleNoAlign',
+ eqalignno: ['Matrix',null,null,['r','l','r'],[5/8,3],3,'D'],
+ leqalignno: ['Matrix',null,null,['r','l','r'],[5/8,3],3,'D'],
+
+ // 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'],
+
+ newcommand: ['Extension','newcommand'],
+ newenvironment: ['Extension','newcommand'],
+ def: ['Extension','newcommand'],
+
+ // Extensions to TeX
+ color: ['Extension','HTML'],
+ href: ['Extension','HTML'],
+ 'class': ['Extension','HTML'],
+ style: ['Extension','HTML'],
+ cssId: ['Extension','HTML'],
+ unicode: ['Extension','HTML'],
+ bbox: ['Extension','bbox'],
+
+ require: 'Require',
+
+ // debugging and test routines
+ 'char': 'Char'
+ },
+
+ /*
+ * 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',null,2],
+ eqnarray: ['Array',null,null,'rcl',[5/18,5/18],3,'D'],
+ 'eqnarray*': ['Array',null,null,'rcl',[5/18,5/18],3,'D'],
+ equation: 'Equation',
+ 'equation*': 'Equation',
+
+ align: ['Extension','AMSmath'],
+ 'align*': ['Extension','AMSmath'],
+ aligned: ['Extension','AMSmath'],
+ multline: ['Extension','AMSmath'],
+ 'multline*': ['Extension','AMSmath'],
+ split: ['Extension','AMSmath'],
+ gather: ['Extension','AMSmath'],
+ 'gather*': ['Extension','AMSmath'],
+ gathered: ['Extension','AMSmath']
+ },
+
+
+ /***************************************************************************/
+
+ /*
+ * 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).match(/[ \n\r\t]/);
+ },
+
+ /*
+ * Trim spaces from a string
+ */
+ trimSpaces: function (text) {
+ if (typeof(text) != 'string') {return text}
+ return text.replace(/^\s+|\s+$/g,'');
+ },
+
+ /*
+ * 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 null}
+ 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.i++; 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 null}
+ if (this.string.charAt(this.i) == this.close) {if (!noneOK) this.Error("Extra close brace"); return null}
+ 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 null}
+ if (--pcount == 0) {return this.string.slice(j,this.i-1)}
+ }
+ }
+ this.Error("Missing close brace");
+ return null;
+ },
+
+ /*
+ * Get an argument and process it into an mList
+ */
+ ProcessArg: function (name) {
+ var arg = this.GetArgument(name); if (this.error) {return null}
+ return this.Process(arg);
+ },
+
+ /*
+ * Get and process an argument for a super- or subscript.
+ * (read extra args for \frac, \sqrt, \mathrm, etc.)
+ * This handles these macros as special cases, so is really
+ * rather a hack. A more general method for indicating
+ * how to handle macros in scripts needs to be developed.
+ */
+ ProcessScriptArg: function (name) {
+ var arg = this.GetArgument(name); if (this.error) {return null}
+ if (arg.charAt(0) == this.cmd) {
+ var csname = arg.substr(1);
+ if (csname == "frac") {
+ arg += '{'+this.GetArgument(csname)+'}'; if (this.error) {return null}
+ arg += '{'+this.GetArgument(csname)+'}'; if (this.error) {return null}
+ } else if (csname == "sqrt") {
+ arg += '['+this.GetBrackets(csname)+']'; if (this.error) {return null}
+ arg += '{'+this.GetArgument(csname)+'}'; if (this.error) {return null}
+ } else if (csname.match(this.scriptargs)) {
+ arg += '{'+this.GetArgument(csname)+'}'; if (this.error) {return null}
+ }
+ }
+ 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 null}
+ if (this.delimiter[c] != null) {return this.delimiter[c]}
+ }
+ this.Error("Missing or unrecognized delimiter for "+name);
+ return null;
+ },
+
+ /*
+ * 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; var advance = 0;
+ if (this.nextIsSpace()) {this.i++}
+ if (this.string.charAt(this.i) == '{') {
+ rest = this.GetArgument(name);
+ } else {
+ rest = this.string.slice(this.i);
+ advance = 1;
+ }
+ return this.ParseDimen(rest,name,advance,nomu);
+ },
+
+ ParseDimen: function (dimen,name,advance,nomu) {
+ var match = dimen.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|px)/);
+ if (!match) {this.Error("Missing dimension or its units for "+name); return null}
+ if (advance) {
+ 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) {
+ c = this.string.charAt(this.i++);
+ if (c == '{') {pcount++}
+ else if (c == '}') {
+ if (pcount == 0)
+ {this.Error("Extra close brace while looking for ']'"); return null}
+ 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);
+ return null;
+ },
+
+ /*
+ * 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 null}
+ 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);
+ return null;
+ },
+
+ /*
+ * 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 null;
+ 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 null;
+ name = this.GetArgument(this.cmd+'end'); if (this.error) return null;
+ }
+ 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',{type:null}))}
+ if (base.sup) {this.Error("Prime causes double exponent: use braces to clarify"); return}
+ var sup = '';
+ while (c == "'") {sup += this.cmd+'prime'; c = this.GetNext(); if (c == "'") {this.i++}}
+ base.sup = this.Process(sup);
+ base.sup.isPrime = 1;
+ },
+
+ /*
+ * 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.ProcessScriptArg(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.ProcessScriptArg(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));
+ },
+
+ /*
+ * Load an extension if it has not already been loaded
+ */
+ Require: function (name) {
+ var file = this.GetArgument(this.cmd+name); if (this.error) return;
+ file = jsMath.Extension.URL(file);
+ if (jsMath.Setup.loaded[file]) return;
+ this.Extension(null,[file]);
+ },
+
+ /*
+ * Load an extension file and restart processing the math
+ */
+ Extension: function (name,data) {
+ jsMath.Translate.restart = 1;
+ if (name != null) {delete jsMath.Parser.prototype[data[1]||'macros'][name]}
+ jsMath.Extension.Require(data[0],jsMath.Translate.asynchronous);
+ throw "restart";
+ },
+
+ /*
+ * 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;
+ var box = jsMath.mItem.Atom('radical',arg);
+ if (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;
+ var box = jsMath.mItem.Atom('radical',arg);
+ box.root = n; this.mlist.Add(box);
+ },
+
+
+ /*
+ * 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.
+ * (Try to load the font if it is not already available.)
+ */
+ 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;
+ if (!jsMath.TeX[font]) {
+ jsMath.TeX[font] = [];
+ this.Extension(null,[jsMath.Font.URL(font)]);
+ } else {
+ this.mlist.Add(jsMath.mItem.Typeset(jsMath.Box.TeX(n-0,font,this.mlist.data.style,this.mlist.data.size)));
+ }
+ },
+
+ /*
+ * 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+this.cmd+'\\',null,data.size,delim[5] || 'T');
+ parse.matrix = name; parse.row = []; parse.table = []; parse.rspacing = [];
+ parse.Parse(); if (parse.error) {this.Error(parse); return}
+ parse.HandleRow(name,1); // be sure the last row is recorded
+ var box = jsMath.Box.Layout(data.size,parse.table,delim[2]||null,delim[3]||null,parse.rspacing,delim[4]||null);
+ // Add parentheses, if needed
+ if (delim[0] && delim[1]) {
+ var left = jsMath.Box.Delimiter(box.h+box.d-jsMath.hd/4,this.delimiter[delim[0]],'T');
+ var right = jsMath.Box.Delimiter(box.h+box.d-jsMath.hd/4,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(data.style,data.size);
+ var box = this.mlist.Typeset(data.style,data.size);
+ box.entry = data.entry; delete data.entry; if (!box.entry) {box.entry = {}};
+ this.row[this.row.length] = box;
+ this.mlist = new jsMath.mList(null,null,data.size,data.style);
+ },
+
+ /*
+ * When we see a \cr or \\, try to add a row to the table
+ */
+ HandleRow: function (name,last) {
+ var dimen;
+ if (!this.matrix) {this.Error(this.cmd+name+" can only appear in a matrix or array"); return}
+ if (name == "\\") {
+ dimen = this.GetBrackets(this.cmd+name); if (this.error) return;
+ if (dimen) {dimen = this.ParseDimen(dimen,this.cmd+name,0,1)}
+ }
+ this.HandleEntry(name);
+ if (!last || this.row.length > 1 || this.row[0].format != 'null')
+ {this.table[this.table.length] = this.row}
+ if (dimen) {this.rspacing[this.table.length] = dimen}
+ this.row = [];
+ },
+
+ /*
+ * Look for \vskip or \vspace in \noalign parameters
+ */
+ HandleNoAlign: function (name) {
+ var arg = this.GetArgument(this.cmd+name); if (this.error) return;
+ var skip = arg.replace(/^.*(vskip|vspace)([^a-z])/i,'$2');
+ if (skip.length == arg.length) return;
+ var d = this.ParseDimen(skip,this.cmd+RegExp.$1,0,1); if (this.error) return;
+ this.rspacing[this.table.length] = (this.rspacing[this.table.length] || 0) + d;
+ },
+
+ /*
+ * 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 style = delim[5] || 'T';
+ var arg = this.GetEnd(name); if (this.error) return;
+ var parse = new jsMath.Parser(arg+this.cmd+'\\',null,data.size,style);
+ parse.matrix = name; parse.row = []; parse.table = []; parse.rspacing = [];
+ parse.Parse(); if (parse.error) {this.Error(parse); return}
+ parse.HandleRow(name,1); // be sure the last row is recorded
+ var box = jsMath.Box.Layout(data.size,parse.table,columns,cspacing,parse.rspacing,delim[4],delim[6],delim[7]);
+ // Add parentheses, if needed
+ if (delim[0] && delim[1]) {
+ var left = jsMath.Box.Delimiter(box.h+box.d-jsMath.hd/4,this.delimiter[delim[0]],'T');
+ var right = jsMath.Box.Delimiter(box.h+box.d-jsMath.hd/4,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');
+ },
+
+ /*
+ * LaTeX equation environment (just remove the environment)
+ */
+ Equation: function (name) {
+ var arg = this.GetEnd(name); if (this.error) return;
+ this.string = arg+this.string.slice(this.i); this.i = 0;
+ },
+
+ /*
+ * 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));
+ },
+
+ /*
+ * 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,style) {
+ 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; var html;
+ if (h != 0) {h = Math.max(1.05/jsMath.em,h)}
+ if (h == 0 || w == 0 || style == "blank")
+ {html = jsMath.HTML.Blank(w,h)} else {html = jsMath.HTML.Rule(w,h)}
+ if (d) {
+ html = ''
+ + html + '';
+ }
+ 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 = box.Mw = 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]/)) ? .2: 0;
+ if (data[1]) {name = data[1]}
+ var box = jsMath.mItem.TextAtom('op',name,jsMath.TeX.fam[0],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.
+ * The "newcommand" extension implements \newcommand and \def
+ * and are loaded automatically if needed.
+ */
+ 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 = this.SubstituteArgs(args,text);
+ }
+ this.string = this.AddArgs(text,this.string.slice(this.i));
+ this.i = 0;
+ },
+
+ /*
+ * Replace macro paramters with their values
+ */
+ SubstituteArgs: function (args,string) {
+ var text = ''; var newstring = ''; var c; var i = 0;
+ while (i < string.length) {
+ c = string.charAt(i++);
+ if (c == this.cmd) {text += c + string.charAt(i++)}
+ else if (c == '#') {
+ c = string.charAt(i++);
+ if (c == "#") {text += c} else {
+ if (!c.match(/[1-9]/) || c > args.length)
+ {this.Error("Illegal macro parameter reference"); return null}
+ newstring = this.AddArgs(this.AddArgs(newstring,text),args[c-1]);
+ text = '';
+ }
+ } else {text += c}
+ }
+ return this.AddArgs(newstring,text);
+ },
+
+ /*
+ * Make sure that macros are followed by a space if their names
+ * could accidentally be continued into the following text.
+ */
+ AddArgs: function (s1,s2) {
+ if (s2.match(/^[a-z]/i) && s1.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)) {s1 += ' '}
+ return s1+s2;
+ },
+
+ /*
+ * 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]));
+ },
+
+ /*
+ * Error for # (must use \#)
+ */
+ Hash: function (name) {
+ this.Error("You can't use 'macro parameter character #' in math mode");
+ },
+
+ /*
+ * Insert space for ~
+ */
+ Tilde: function (name) {
+ this.mlist.Add(jsMath.mItem.TextAtom('ord',' ','normal'));
+ },
+
+ /*
+ * 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[0],arg));
+ },
+
+
+ /*
+ * Process the character associated with a specific \mathcharcode
+ */
+ HandleMathCode: function (name,code) {
+ this.HandleTeXchar(code[0],code[1],code[2]);
+ },
+
+ /*
+ * Add a specific character from a TeX font (use the current
+ * font if the type is 7 (variable) or the font is not specified)
+ * Load the font if it is not already loaded.
+ */
+ HandleTeXchar: function (type,font,code) {
+ if (type == 7 && this.mlist.data.font != null) {font = this.mlist.data.font}
+ font = jsMath.TeX.fam[font];
+ if (!jsMath.TeX[font]) {
+ jsMath.TeX[font] = [];
+ this.Extension(null,[jsMath.Font.URL(font)]);
+ } else {
+ 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].slice(0,3))
+ 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;
+ } else {
+ this.mlist.data.overF.left = null;
+ this.mlist.data.overF.right = null;
+ }
+ if (name.match(/^above/)) {
+ this.mlist.data.overF.thickness = this.GetDimen(this.cmd+name,1);
+ if (this.error) return;
+ } else {
+ this.mlist.data.overF.thickness = null;
+ }
+ },
+
+ /*
+ * Add a superscript to the preceeding atom
+ */
+ HandleSuperscript: function () {
+ var base = this.mlist.Last();
+ if (this.mlist.data.overI == this.mlist.Length()) {base = null}
+ if (base == null || (!base.atom && base.type != 'box' && base.type != 'frac'))
+ {base = this.mlist.Add(jsMath.mItem.Atom('ord',{type:null}))}
+ if (base.sup) {
+ if (base.sup.isPrime) {base = this.mlist.Add(jsMath.mItem.Atom('ord',{type:null}))}
+ else {this.Error("Double exponent: use braces to clarify"); return}
+ }
+ base.sup = this.ProcessScriptArg('superscript'); if (this.error) return;
+ },
+
+ /*
+ * Add a subscript to the preceeding atom
+ */
+ HandleSubscript: function () {
+ var base = this.mlist.Last();
+ if (this.mlist.data.overI == this.mlist.Length()) {base = null}
+ if (base == null || (!base.atom && base.type != 'box' && base.type != 'frac'))
+ {base = this.mlist.Add(jsMath.mItem.Atom('ord',{type:null}))}
+ if (base.sub) {this.Error("Double subscripts: use braces to clarify"); return}
+ base.sub = this.ProcessScriptArg('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 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.
+ */
+ Typeset: function () {
+ var data = this.mlist.init;
+ var box = this.typeset = this.mlist.Typeset(data.style,data.size);
+ if (this.error) {return ''+this.error+''}
+ if (box.format == 'null') {return ''};
+
+ box.Styled().Remeasured(); var isSmall = 0; var isBig = 0;
+ 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 || box.d > jsMath.d) {isBig = 1}
+
+ var html = box.html;
+ if (isSmall) {// hide the extra size
+ if (jsMath.Browser.allowAbsolute) {
+ var y = (box.bh > jsMath.h+.001 ? jsMath.h - box.bh : 0);
+ html = jsMath.HTML.Absolute(html,box.w,jsMath.h,0,y);
+ } else if (jsMath.Browser.valignBug) {
+ // remove line height
+ html = ''
+ + html + '';
+ } else if (!jsMath.Browser.operaLineHeightBug) {
+ // remove line height and try to hide the depth
+ var dy = jsMath.HTML.Em(Math.max(0,box.bd-jsMath.hd)/3);
+ html = '' + html + '';
+ }
+ isBig = 1;
+ }
+ if (isBig) {
+ // add height and depth to the line
+ // (force a little extra to separate lines if needed)
+ html += jsMath.HTML.Blank(0,box.h+.05,box.d+.05);
+ }
+ 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. See the
+ * author's documentation for more details.
+ */
+
+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]}
+ }
+});
+
+/*
+ * Use these commands to create macros that load
+ * JavaScript files and reprocess the mathematics when
+ * the file is loaded. This lets you to have macros or
+ * LaTeX environments that autoload their own definitions
+ * only when they are needed, saving initial download time
+ * on pages where they are not used. See the author's
+ * documentation for more details.
+ *
+ */
+
+jsMath.Extension = {
+
+ safeRequire: 1, // disables access to files outside of jsMath/extensions
+
+ Macro: function (name,file) {
+ var macro = jsMath.Parser.prototype.macros;
+ if (file == null) {file = name}
+ macro[name] = ['Extension',file];
+ },
+
+ LaTeX: function (env,file) {
+ var latex = jsMath.Parser.prototype.environments;
+ latex[env] = ['Extension',file,'environments'];
+ },
+
+ Font: function (name,font) {
+ if (font == null) {font = name + "10"}
+ var macro = jsMath.Parser.prototype.macros;
+ macro[name] = ['Extension',jsMath.Font.URL(font)];
+ },
+
+ MathChar: function (font,defs) {
+ var fam = jsMath.TeX.famName[font];
+ if (fam == null) {
+ fam = jsMath.TeX.fam.length;
+ jsMath.TeX.fam[fam] = font;
+ jsMath.TeX.famName[font] = fam;
+ }
+ var mathchardef = jsMath.Parser.prototype.mathchardef;
+ for (var c in defs) {mathchardef[c] = [defs[c][0],fam,defs[c][1]]}
+ },
+
+ Require: function (file,show) {
+ if (this.safeRequire && (file.match(/\.\.\/|[^-a-z0-9.\/:_+=%~]/i) ||
+ (file.match(/:/) && file.substr(0,jsMath.root.length) != jsMath.root))) {
+ jsMath.Setup.loaded[file] = 1;
+ return;
+ }
+ jsMath.Setup.Script(this.URL(file),show);
+ },
+
+ URL: function (file) {
+ file = file.replace(/^\s+|\s+$/g,'');
+ if (!file.match(/^([a-z]+:|\/|fonts|extensions\/)/i)) {file = 'extensions/'+file}
+ if (!file.match(/\.js$/)) {file += '.js'}
+ return file;
+ }
+}
+
+
+/***************************************************************************/
+
+/*
+ * These routines look through the web page for math elements to process.
+ * There are two main entry points you can call:
+ *
+ *
+ * or
+ *
+ *
+ * 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,{
+ /*
+ * 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 (obj) {
+ jsMath.Setup.Body();
+ jsMath.Script.Push(jsMath.Translate,'Asynchronous',obj);
+ },
+
+ /*
+ * 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 (obj) {
+ jsMath.Setup.Body();
+ var method = (jsMath.Controls.cookie.asynch ? "Asynchronous": "Synchronous");
+ jsMath.Script.Push(jsMath.Translate,method,obj);
+ },
+
+ /*
+ * Process the contents of a single element. It must be of
+ * class "math".
+ */
+ ProcessElement: function (obj) {
+ jsMath.Setup.Body();
+ jsMath.Script.Push(jsMath.Translate,'ProcessOne',obj);
+ }
+
+});
+
+jsMath.Translate = {
+
+ element: [], // the list of math elements on the page
+ cancel: 0, // set to 1 to cancel asynchronous processing
+
+ /*
+ * Parse a TeX string in Text or Display mode and return
+ * the HTML for it (taking it from the cache, if available)
+ */
+ Parse: function (style,s,noCache) {
+ var cache = jsMath.Global.cache[style];
+ if (!cache[jsMath.em]) {cache[jsMath.em] = {}}
+ var HTML = cache[jsMath.em][s];
+ if (!HTML || noCache) {
+ var parse = jsMath.Parse(s,null,null,style);
+ parse.Atomize(); HTML = parse.Typeset();
+ if (!noCache) {cache[jsMath.em][s] = HTML}
+ }
+ return HTML;
+ },
+
+ TextMode: function (s,noCache) {this.Parse('T',s,noCache)},
+ DisplayMode: function (s,noCache) {this.Parse('D',s,noCache)},
+
+ /*
+ * Return the text of a given DOM element
+ */
+ GetElementText: function (element) {
+ if (element.childNodes.length == 1 && element.childNodes[0].nodeName === "#comment") {
+ var result = element.childNodes[0].nodeValue.match(/^\[CDATA\[(.*)\]\]$/);
+ if (result != null) {return result[1]};
+ }
+ var text = this.recursiveElementText(element);
+ element.alt = text;
+ if (text.search('&') >= 0) {
+ text = text.replace(/</g,'<');
+ text = text.replace(/>/g,'>');
+ text = text.replace(/"/g,'"');
+ text = text.replace(/&/g,'&');
+ }
+ return text;
+ },
+ recursiveElementText: function (element) {
+ if (element.nodeValue != null) {
+ if (element.nodeName !== "#comment") {return element.nodeValue}
+ return element.nodeValue.replace(/^\[CDATA\[((.|\n)*)\]\]$/,"$1");
+ }
+ if (element.childNodes.length === 0) {return " "}
+ var text = '';
+ for (var i = 0; i < element.childNodes.length; i++)
+ {text += this.recursiveElementText(element.childNodes[i])}
+ return text;
+ },
+
+ /*
+ * Move hidden to the location of the math element to be
+ * processed and reinitialize sizes for that location.
+ */
+ ResetHidden: function (element) {
+ element.innerHTML =
+ ''
+ + jsMath.Browser.operaHiddenFix; // needed by Opera in tables
+ element.className = '';
+ jsMath.hidden = element.firstChild;
+ if (!jsMath.BBoxFor("x").w) {jsMath.hidden = jsMath.hiddenTop}
+ jsMath.ReInit();
+ },
+
+
+ /*
+ * Typeset the contents of an element in \textstyle or \displaystyle
+ */
+ ConvertMath: function (style,element,noCache) {
+ var text = this.GetElementText(element);
+ this.ResetHidden(element);
+ if (text.match(/^\s*\\nocache([^a-zA-Z])/))
+ {noCache = true; text = text.replace(/\s*\\nocache/,'')}
+ text = this.Parse(style,text,noCache);
+ element.className = 'typeset';
+ element.innerHTML = text;
+ },
+
+ /*
+ * Process a math element
+ */
+ ProcessElement: function (element) {
+ this.restart = 0;
+ if (!element.className.match(/(^| )math( |$)/)) return; // don't reprocess elements
+ var noCache = (element.className.toLowerCase().match(/(^| )nocache( |$)/) != null);
+ try {
+ var style = (element.tagName.toLowerCase() == 'div' ? 'D' : 'T');
+ this.ConvertMath(style,element,noCache);
+ element.onclick = jsMath.Click.CheckClick;
+ element.ondblclick = jsMath.Click.CheckDblClick;
+ } catch (err) {
+ if (element.alt) {
+ var tex = element.alt;
+ tex = tex.replace(/&/g,'&')
+ .replace(//g,'>');
+ element.innerHTML = tex;
+ element.className = 'math';
+ if (noCache) {element.className += ' nocache'}
+ }
+ jsMath.hidden = jsMath.hiddenTop;
+ }
+ },
+
+ /*
+ * Asynchronously process all the math elements starting with
+ * the k-th one. Do them in blocks of 8 (more efficient than one
+ * at a time, but still allows screen updates periodically).
+ */
+ ProcessElements: function (k) {
+ jsMath.Script.blocking = 1;
+ for (var i = 0; i < jsMath.Browser.processAtOnce; i++, k++) {
+ if (k >= this.element.length || this.cancel) {
+ this.ProcessComplete();
+ if (this.cancel) {
+ jsMath.Message.Set("Process Math: Canceled");
+ jsMath.Message.Clear()
+ }
+ jsMath.Script.blocking = 0;
+ jsMath.Script.Process();
+ return;
+ } else {
+ var savedQueue = jsMath.Script.SaveQueue();
+ this.ProcessElement(this.element[k]);
+ if (this.restart) {
+ jsMath.Script.Push(this,'ProcessElements',k);
+ jsMath.Script.RestoreQueue(savedQueue);
+ jsMath.Script.blocking = 0;
+ setTimeout('jsMath.Script.Process()',jsMath.Browser.delay);
+ return;
+ }
+ }
+ }
+ jsMath.Script.RestoreQueue(savedQueue);
+ var p = Math.floor(100 * k / this.element.length);
+ jsMath.Message.Set('Processing Math: '+p+'%');
+ setTimeout('jsMath.Translate.ProcessElements('+k+')',jsMath.Browser.delay);
+ },
+
+ /*
+ * Start the asynchronous processing of mathematics
+ */
+ Asynchronous: function (obj) {
+ if (!jsMath.initialized) {jsMath.Init()}
+ this.element = this.GetMathElements(obj);
+ jsMath.Script.blocking = 1;
+ this.cancel = 0; this.asynchronous = 1;
+ jsMath.Message.Set('Processing Math: 0%',1);
+ setTimeout('jsMath.Translate.ProcessElements(0)',jsMath.Browser.delay);
+ },
+
+ /*
+ * Do synchronous processing of mathematics
+ */
+ Synchronous: function (obj,i) {
+ if (i == null) {
+ if (!jsMath.initialized) {jsMath.Init()}
+ this.element = this.GetMathElements(obj);
+ i = 0;
+ }
+ this.asynchronous = 0;
+ while (i < this.element.length) {
+ this.ProcessElement(this.element[i]);
+ if (this.restart) {
+ jsMath.Synchronize('jsMath.Translate.Synchronous(null,'+i+')');
+ jsMath.Script.Process();
+ return;
+ }
+ i++;
+ }
+ this.ProcessComplete(1);
+ },
+
+ /*
+ * Synchronously process the contents of a single element
+ */
+ ProcessOne: function (obj) {
+ if (!jsMath.initialized) {jsMath.Init()}
+ this.element = [obj];
+ this.Synchronous(null,0);
+ },
+
+ /*
+ * 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 (obj) {
+ var element = []; var k;
+ if (!obj) {obj = jsMath.document}
+ if (typeof(obj) == 'string') {obj = jsMath.document.getElementById(obj)}
+ if (!obj.getElementsByTagName) return null;
+ var math = obj.getElementsByTagName('div');
+ for (k = 0; k < math.length; k++) {
+ if (math[k].className && math[k].className.match(/(^| )math( |$)/)) {
+ if (jsMath.Browser.renameOK && obj.getElementsByName)
+ {math[k].setAttribute('name','_jsMath_')}
+ else {element[element.length] = math[k]}
+ }
+ }
+ math = obj.getElementsByTagName('span');
+ for (k = 0; k < math.length; k++) {
+ if (math[k].className && math[k].className.match(/(^| )math( |$)/)) {
+ if (jsMath.Browser.renameOK && obj.getElementsByName)
+ {math[k].setAttribute('name','_jsMath_')}
+ else {element[element.length] = math[k]}
+ }
+ }
+ // this gets the SPAN and DIV elements interleaved in order
+ if (jsMath.Browser.renameOK && obj.getElementsByName) {
+ element = obj.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 or tags
+ */
+ ProcessComplete: function (noMessage) {
+ if (jsMath.Browser.renameOK) {
+ var element = jsMath.document.getElementsByName('_jsMath_');
+ for (var i = element.length-1; i >= 0; i--) {
+ element[i].removeAttribute('name');
+ }
+ }
+ jsMath.hidden = jsMath.hiddenTop;
+ this.element = []; this.restart = null;
+ if (!noMessage) {
+ jsMath.Message.Set('Processing Math: Done');
+ jsMath.Message.Clear();
+ }
+ jsMath.Message.UnBlank();
+ if (jsMath.Browser.safariImgBug &&
+ (jsMath.Controls.cookie.font == 'symbol' ||
+ jsMath.Controls.cookie.font == 'image')) {
+ //
+ // For Safari, the images don't always finish
+ // updating, so nudge the window to cause a
+ // redraw. (Hack!)
+ //
+ if (this.timeout) {clearTimeout(this.timeout)}
+ this.timeout = setTimeout("jsMath.window.resizeBy(-1,0); "
+ + "jsMath.window.resizeBy(1,0); "
+ + "jsMath.Translate.timeout = null",2000);
+ }
+ },
+
+ /*
+ * Cancel procesing elements
+ */
+ Cancel: function () {
+ jsMath.Translate.cancel = 1;
+ if (jsMath.Script.cancelTimer) {jsMath.Script.cancelLoad()}
+ }
+
+};
+
+jsMath.Add(jsMath,{
+ //
+ // Synchronize these with the loading of the tex2math plugin.
+ //
+ ConvertTeX: function (element) {jsMath.Script.Push(jsMath.tex2math,'ConvertTeX',element)},
+ ConvertTeX2: function (element) {jsMath.Script.Push(jsMath.tex2math,'ConvertTeX2',element)},
+ ConvertLaTeX: function (element) {jsMath.Script.Push(jsMath.tex2math,'ConvertLaTeX',element)},
+ ConvertCustom: function (element) {jsMath.Script.Push(jsMath.tex2math,'ConvertCustom',element)},
+ CustomSearch: function (om,cm,od,cd) {jsMath.Script.Push(null,function () {jsMath.tex2math.CustomSearch(om,cm,od,cd)})},
+ tex2math: {
+ ConvertTeX: function () {},
+ ConvertTeX2: function () {},
+ ConvertLaTeX: function () {},
+ ConvertCustom: function () {},
+ CustomSearch: function () {}
+ }
+});
+jsMath.Synchronize = jsMath.Script.Synchronize;
+
+/***************************************************************************/
+
+
+/*
+ * Initialize things
+ */
+try {
+ if (window.parent != window && window.jsMathAutoload) {
+ window.parent.jsMath = jsMath;
+ jsMath.document = window.parent.document;
+ jsMath.window = window.parent;
+ }
+} catch (err) {}
+
+
+jsMath.Global.Register();
+jsMath.Loaded();
+jsMath.Controls.GetCookie();
+jsMath.Setup.Source();
+jsMath.Global.Init();
+jsMath.Script.Init();
+jsMath.Setup.Fonts();
+if (jsMath.document.body) {jsMath.Setup.Body()}
+jsMath.Setup.User("onload");
+
+}}