+++ /dev/null
-/*****************************************************************************
- *
- * jsMath: Mathematics on the Web
- *
- * This jsMath package makes it possible to display mathematics in HTML pages
- * that are viewable by a wide range of browsers on both the Mac and the IBM PC,
- * including browsers that don't process MathML. See
- *
- * http://www.math.union.edu/locate/jsMath
- *
- * for the latest version, and for documentation on how to use jsMath.
- *
- * Copyright 2004-2010 by Davide P. Cervone
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- *
- *****************************************************************************/
-
-/*
- * Prevent running everything again if this file is loaded twice
- */
-if (!window.jsMath || !window.jsMath.loaded) {
-
-var jsMath_old = window.jsMath; // save user customizations
-
-//
-// debugging routine
-//
-/*
- * function ShowObject (obj,spaces) {
- * var s = ''; if (!spaces) {spaces = ""}
- * for (var i in obj) {
- * if (obj[i] != null) {
- * if (typeof(obj[i]) == "object") {
- * s += spaces + i + ": {\n"
- * + ShowObject(obj[i],spaces + ' ')
- * + spaces + "}\n";
- * } else if (typeof(obj[i]) != "function") {
- * s += spaces + i + ': ' + obj[i] + "\n";
- * }
- * }
- * }
- * return s;
- * }
- */
-
-/***************************************************************************/
-//
-// Check for DOM support
-//
-if (!document.getElementById || !document.childNodes || !document.createElement) {
- alert('The mathematics on this page requires W3C DOM support in its JavaScript. '
- + 'Unfortunately, your browser doesn\'t seem to have this.');
-} else {
-
-/***************************************************************************/
-
-window.jsMath = {
-
- version: "3.6e", // change this if you edit the file, but don't edit this file
-
- document: document, // the document loading jsMath
- window: window, // the window of the of loading document
-
- platform: (navigator.platform.match(/Mac/) ? "mac" :
- navigator.platform.match(/Win/) ? "pc" : "unix"),
-
- // Font sizes for \tiny, \small, etc. (must match styles below)
- sizes: [50, 60, 70, 85, 100, 120, 144, 173, 207, 249],
-
- //
- // The styles needed for the TeX fonts and other jsMath elements
- //
- styles: {
- '.math': { // unprocessed mathematics
- 'font-family': 'serif',
- 'font-style': 'normal',
- 'font-weight': 'normal'
- },
-
- '.typeset': { // final typeset mathematics
- 'font-family': 'serif',
- 'font-style': 'normal',
- 'font-weight': 'normal',
- 'line-height': 'normal',
- 'text-indent': '0px',
- 'white-space': 'normal'
- },
-
- '.typeset .normal': { // \hbox contents style
- 'font-family': 'serif',
- 'font-style': 'normal',
- 'font-weight': 'normal'
- },
-
- 'div.typeset': { // display mathematics
- 'text-align': 'center',
- margin: '1em 0px'
- },
-
- 'span.typeset': { // in-line mathematics
- 'text-align': 'left'
- },
-
- '.typeset span': { // prevent outside CSS from setting these
- 'text-align': 'left',
- border: '0px',
- margin: '0px',
- padding: '0px'
- },
-
- 'a .typeset img, .typeset a img': { // links in image mode
- border: '0px',
- 'border-bottom': '1px solid blue;'
- },
-
- // Font sizes
- '.typeset .size0': {'font-size': '50%'}, // tiny (\scriptscriptsize)
- '.typeset .size1': {'font-size': '60%'}, // (50% of \large for consistency)
- '.typeset .size2': {'font-size': '70%'}, // scriptsize
- '.typeset .size3': {'font-size': '85%'}, // small (70% of \large for consistency)
- '.typeset .size4': {'font-size': '100%'}, // normalsize
- '.typeset .size5': {'font-size': '120%'}, // large
- '.typeset .size6': {'font-size': '144%'}, // Large
- '.typeset .size7': {'font-size': '173%'}, // LARGE
- '.typeset .size8': {'font-size': '207%'}, // huge
- '.typeset .size9': {'font-size': '249%'}, // Huge
-
- // TeX fonts
- '.typeset .cmr10': {'font-family': 'jsMath-cmr10, serif'},
- '.typeset .cmbx10': {'font-family': 'jsMath-cmbx10, jsMath-cmr10'},
- '.typeset .cmti10': {'font-family': 'jsMath-cmti10, jsMath-cmr10'},
- '.typeset .cmmi10': {'font-family': 'jsMath-cmmi10'},
- '.typeset .cmsy10': {'font-family': 'jsMath-cmsy10'},
- '.typeset .cmex10': {'font-family': 'jsMath-cmex10'},
-
- '.typeset .textit': {'font-family': 'serif', 'font-style': 'italic'},
- '.typeset .textbf': {'font-family': 'serif', 'font-weight': 'bold'},
-
- '.typeset .link': {'text-decoration': 'none'}, // links in mathematics
-
- '.typeset .error': { // in-line error messages
- 'font-size': '90%',
- 'font-style': 'italic',
- 'background-color': '#FFFFCC',
- padding: '1px',
- border: '1px solid #CC0000'
- },
-
- '.typeset .blank': { // internal use
- display: 'inline-block',
- overflow: 'hidden',
- border: '0px none',
- width: '0px',
- height: '0px'
- },
- '.typeset .spacer': { // internal use
- display: 'inline-block'
- },
-
- '#jsMath_hiddenSpan': { // used for measuring BBoxes
- visibility: 'hidden',
- position: 'absolute',
- top: '0px',
- left: '0px',
- 'line-height': 'normal',
- 'text-indent': '0px'
- },
-
- '#jsMath_message': { // percentage complete message
- position: 'fixed',
- bottom: '1px',
- left: '2px',
- 'background-color': '#E6E6E6',
- border: 'solid 1px #959595',
- margin: '0px',
- padding: '1px 8px',
- 'z-index': '102',
- color: 'black',
- 'font-size': 'small',
- width: 'auto'
- },
-
- '#jsMath_panel': { // control panel
- position: 'fixed',
- bottom: '1.75em',
- right: '1.5em',
- padding: '.8em 1.6em',
- 'background-color': '#DDDDDD',
- border: 'outset 2px',
- 'z-index': '103',
- width: 'auto',
- color: 'black',
- 'font-size': '10pt',
- 'font-style': 'normal'
- },
- '#jsMath_panel .disabled': {color: '#888888'}, // disabled items in the panel
- '#jsMath_panel .infoLink': {'font-size': '85%'}, // links to web pages
-
- // avoid CSS polution from outside the panel
- '#jsMath_panel *': {
- 'font-size': 'inherit',
- 'font-style': 'inherit',
- 'font-family': 'inherit',
- 'line-height': 'normal'
- },
- '#jsMath_panel div': {'background-color': 'inherit', color: 'inherit'},
- '#jsMath_panel span': {'background-color': 'inherit', color: 'inherit'},
- '#jsMath_panel td': {
- border: '0px', padding: '0px', margin: '0px',
- 'background-color': 'inherit', color: 'inherit'
- },
- '#jsMath_panel tr': {
- border: '0px', padding: '0px', margin: '0px',
- 'background-color': 'inherit', color: 'inherit'
- },
- '#jsMath_panel table': {
- border: '0px', padding: '0px', margin: '0px',
- 'background-color': 'inherit', color: 'inherit',
- height: 'auto', width: 'auto'
- },
-
- '#jsMath_button': { // the jsMath floating button (to open control panel)
- position: 'fixed',
- bottom: '1px',
- right: '2px',
- 'background-color': 'white',
- border: 'solid 1px #959595',
- margin: '0px',
- padding: '0px 3px 1px 3px',
- 'z-index': '102',
- color: 'black',
- 'text-decoration': 'none',
- 'font-size': 'x-small',
- width: 'auto',
- cursor: 'hand'
- },
- '#jsMath_button *': {
- padding: '0px', border: '0px', margin: '0px', 'line-height': 'normal',
- 'font-size': 'inherit', 'font-style': 'inherit', 'font-family': 'inherit'
- },
-
- '#jsMath_global': {'font-style': 'italic'}, // 'global' in jsMath button
-
- '#jsMath_noFont .message': { // missing font message window
- 'text-align': 'center',
- padding: '.8em 1.6em',
- border: '3px solid #DD0000',
- 'background-color': '#FFF8F8',
- color: '#AA0000',
- 'font-size': 'small',
- width: 'auto'
- },
- '#jsMath_noFont .link': {
- padding: '0px 5px 2px 5px',
- border: '2px outset',
- 'background-color': '#E8E8E8',
- color: 'black',
- 'font-size': '80%',
- width: 'auto',
- cursor: 'hand'
- },
-
- '#jsMath_PrintWarning .message': { // warning on print pages
- 'text-align': 'center',
- padding: '.8em 1.6em',
- border: '3px solid #DD0000',
- 'background-color': '#FFF8F8',
- color: '#AA0000',
- 'font-size': 'x-small',
- width: 'auto'
- },
-
- '@media print': {
- '#jsMath_button': {display: 'none'},
- '#jsMath_Warning': {display: 'none'}
- },
-
- '@media screen': {
- '#jsMath_PrintWarning': {display:'none'}
- }
-
- },
-
-
- /***************************************************************************/
-
- /*
- * Get a jsMath DOM element
- */
- Element: function (name) {return jsMath.document.getElementById('jsMath_'+name)},
-
- /*
- * Get the width and height (in pixels) of an HTML string
- */
- BBoxFor: function (s) {
- this.hidden.innerHTML =
- '<nobr><span class="typeset"><span class="scale">'+s+'</span></span></nobr>';
- var math = (jsMath.Browser.msieBBoxBug ? this.hidden.firstChild.firstChild : this.hidden);
- var bbox = {w: math.offsetWidth, h: this.hidden.offsetHeight};
- this.hidden.innerHTML = '';
- return bbox;
- },
-
- /*
- * Get the width and height (in ems) of an HTML string.
- * Check the cache first to see if we've already measured it.
- */
- EmBoxFor: function (s) {
- var cache = jsMath.Global.cache.R;
- if (!cache[this.em]) {cache[this.em] = {}}
- if (!cache[this.em][s]) {
- var bbox = this.BBoxFor(s);
- cache[this.em][s] = {w: bbox.w/this.em, h: bbox.h/this.em};
- }
- return cache[this.em][s];
- },
-
- /*
- * Initialize jsMath. This determines the em size, and a variety
- * of other parameters used throughout jsMath.
- */
- Init: function () {
- if (jsMath.Setup.inited != 1) {
- if (!jsMath.Setup.inited) {jsMath.Setup.Body()}
- if (jsMath.Setup.inited != 1) {
- if (jsMath.Setup.inited == -100) return;
- alert("It looks like jsMath failed to set up properly (error code "
- + jsMath.Setup.inited + "). "
- + "I will try to keep going, but it could get ugly.");
- jsMath.Setup.inited = 1;
- }
- }
- this.em = this.CurrentEm();
- var cache = jsMath.Global.cache.B;
- if (!cache[this.em]) {
- cache[this.em] = {};
- cache[this.em].bb = this.BBoxFor('x'); var hh = cache[this.em].bb.h;
- cache[this.em].d = this.BBoxFor('x'+jsMath.HTML.Strut(hh/this.em)).h - hh;
- }
- jsMath.Browser.italicCorrection = cache[this.em].ic;
- var bb = cache[this.em].bb; var h = bb.h; var d = cache[this.em].d
- this.h = (h-d)/this.em; this.d = d/this.em;
- this.hd = this.h + this.d;
-
- this.Setup.TeXfonts();
-
- var x_height = this.EmBoxFor('<span class="cmr10">M</span>').w/2;
- this.TeX.M_height = x_height*(26/14);
- this.TeX.h = this.h; this.TeX.d = this.d; this.TeX.hd = this.hd;
-
- this.Img.Scale();
- if (!this.initialized) {
- this.Setup.Sizes();
- this.Img.UpdateFonts();
- }
-
- // factor for \big and its brethren
- this.p_height = (this.TeX.cmex10[0].h + this.TeX.cmex10[0].d) / .85;
-
- this.initialized = 1;
- },
-
- /*
- * Get the x size and if it has changed, reinitialize the sizes
- */
- ReInit: function () {
- if (this.em != this.CurrentEm()) {this.Init()}
- },
-
- /*
- * Find the em size in effect at the current text location
- */
- CurrentEm: function () {
- var em = this.BBoxFor('<span style="'+jsMath.Browser.block+';width:27em;height:1em"></span>').w/27;
- if (em > 0) {return em}
- // handle older browsers
- return this.BBoxFor('<img src="'+jsMath.blank+'" style="width:13em;height:1em" />').w/13;
- },
-
- /*
- * Mark jsMath as loaded and copy any user-provided overrides
- */
- Loaded: function () {
- if (jsMath_old) {
- var override = ['Process', 'ProcessBeforeShowing','ProcessElement',
- 'ConvertTeX','ConvertTeX2','ConvertLaTeX','ConvertCustom',
- 'CustomSearch', 'Synchronize', 'Macro', 'document'];
- for (var i = 0; i < override.length; i++) {
- if (jsMath_old[override[i]]) {delete jsMath_old[override[i]]}
- }
- }
- if (jsMath_old) {this.Insert(jsMath,jsMath_old)}
- jsMath_old = null;
- jsMath.loaded = 1;
- },
-
- /*
- * Manage JavaScript objects:
- *
- * Add: add/replace items in an object
- * Insert: add items to an object
- * Package: add items to an object prototype
- */
- Add: function (dst,src) {for (var id in src) {dst[id] = src[id]}},
- Insert: function (dst,src) {
- for (var id in src) {
- if (dst[id] && typeof(src[id]) == 'object'
- && (typeof(dst[id]) == 'object'
- || typeof(dst[id]) == 'function')) {
- this.Insert(dst[id],src[id]);
- } else {
- dst[id] = src[id];
- }
- }
- },
- Package: function (obj,def) {this.Insert(obj.prototype,def)}
-
-};
-
-
-/***************************************************************************/
-
- /*
- * Implements items associated with the global cache.
- *
- * This object will be replaced by a global version when
- * (and if) jsMath-global.html is loaded.
- */
-jsMath.Global = {
- isLocal: 1, // a local copy if jsMath-global.html hasn't been loaded
- cache: {T: {}, D: {}, R: {}, B: {}},
-
- /*
- * Clear the global (or local) cache
- */
- ClearCache: function () {jsMath.Global.cache = {T: {}, D: {}, R: {}, B: {}}},
-
- /*
- * Initiate global mode
- */
- GoGlobal: function (cookie) {
- var url = String(jsMath.window.location);
- var c = (jsMath.isCHMmode ? '#' : '?');
- if (cookie) {url = url.replace(/\?.*/,'') + '?' + cookie}
- jsMath.Controls.Reload(jsMath.root + "jsMath-global.html" + c +escape(url));
- },
-
- /*
- * Check if we need to go to global mode
- */
- Init: function () {
- if (jsMath.Controls.cookie.global == "always" && !jsMath.noGoGlobal) {
- if (navigator.accentColorName) return; // OmniWeb crashes on GoGlobal
- if (!jsMath.window) {jsMath.window = window}
- jsMath.Controls.loaded = 1;
- jsMath.Controls.defaults.hiddenGlobal = null;
- this.GoGlobal(jsMath.Controls.SetCookie(2));
- }
- },
-
- /*
- * Try to register with a global.html window that contains us
- */
- Register: function () {
- var parent = jsMath.window.parent;
- if (!jsMath.isCHMmode)
- {jsMath.isCHMmode = (jsMath.window.location.protocol == 'mk:')}
- try {
- if (!jsMath.isCHMmode) this.Domain();
- if (parent.jsMath && parent.jsMath.isGlobal)
- {parent.jsMath.Register(jsMath.window)}
- } catch (err) {jsMath.noGoGlobal = 1}
- },
-
- /*
- * If we're not the parent window, try to set the domain to
- * match the parent's domain (so we can use the Global data
- * if the surrounding frame is a Global frame).
- */
- Domain: function () {
- // MSIE/Mac can't do domain changes, so don't bother trying
- if (navigator.appName == 'Microsoft Internet Explorer' &&
- jsMath.platform == 'mac' && navigator.userProfile != null) return;
- // MSIE/PC can do domain change, but gets mixed up if we don't
- // find a domain that works, and then can't look in window.location
- // any longer. So don't try, since we can't afford to leave it confused.
- if (jsMath.document.all && !jsMath.window.opera) return;
-
- if (window == parent) return;
- var oldDomain = jsMath.document.domain;
- try {
- while (true) {
- try {if (parent.document.title != null) return} catch (err) {}
- if (!document.domain.match(/\..*\./)) break;
- jsMath.document.domain = jsMath.document.domain.replace(/^[^.]*\./,'');
- }
- } catch (err) {}
- jsMath.document.domain = oldDomain;
- }
-
-};
-
-
-
-/***************************************************************************/
-
-/*
- *
- * Implement loading of remote scripts using XMLHttpRequest, if
- * possible, otherwise use a hidden IFRAME and fake it. That
- * method runs asynchronously, which causes lots of headaches.
- * Solve these using Push command, which queues actions
- * until files have loaded.
- */
-
-jsMath.Script = {
-
- request: null, // the XMLHttpRequest object
-
- /*
- * Create the XMLHttpRequest object, if we can.
- * Otherwise, use the iframe-based fallback method.
- */
- Init: function () {
- if (!(jsMath.Controls.cookie.asynch && jsMath.Controls.cookie.progress)) {
- if (window.XMLHttpRequest) {
- try {this.request = new XMLHttpRequest} catch (err) {}
- // MSIE and FireFox3 can't use xmlRequest on local files,
- // but we don't have jsMath.browser yet to tell, so use this check
- if (this.request && jsMath.root.match(/^file:\/\//)) {
- try {
- this.request.open("GET",jsMath.root+"jsMath.js",false);
- this.request.send(null);
- } catch (err) {
- this.request = null;
- // Firefox3 has window.postMessage for inter-window communication.
- // It can be used to handle the new file:// security model,
- // so set up the listener.
- if (window.postMessage && window.addEventListener) {
- this.mustPost = 1;
- jsMath.window.addEventListener("message",jsMath.Post.Listener,false);
- }
- }
- }
- }
- if (!this.request && window.ActiveXObject && !this.mustPost) {
- var xml = ["MSXML2.XMLHTTP.6.0","MSXML2.XMLHTTP.5.0","MSXML2.XMLHTTP.4.0",
- "MSXML2.XMLHTTP.3.0","MSXML2.XMLHTTP","Microsoft.XMLHTTP"];
- for (var i = 0; i < xml.length && !this.request; i++) {
- try {this.request = new ActiveXObject(xml[i])} catch (err) {}
- }
- }
- }
- //
- // Use the delayed-script fallback for MSIE/Mac and old versions
- // of several browsers (Opera 7.5, OmniWeb 4.5).
- //
- if (!this.request || jsMath.Setup.domainChanged)
- {this.Load = this.delayedLoad; this.needsBody = 1}
- },
-
- /*
- * Load a script and evaluate it in the window's context
- */
- Load: function (url,show) {
- if (show) {
- jsMath.Message.Set("Loading "+url);
- jsMath.Script.Delay(1);
- jsMath.Script.Push(this,'xmlRequest',url);
- jsMath.Script.Push(jsMath.Message,'Clear');
- } else {
- jsMath.Script.Push(this,'xmlRequest',url);
- }
- },
-
- /*
- * Load a URL and run the contents of the file
- */
- xmlRequest: function (url) {
- this.blocking = 1;
-// this.debug('xmlRequest: '+url);
- try {
- this.request.open("GET",url,false);
- this.request.send(null);
- } catch (err) {
- this.blocking = 0;
- if (jsMath.Translate.restart && jsMath.Translate.asynchronous) {return ""}
- throw Error("jsMath can't load the file '"+url+"'\n"
- + "Message: "+err.message);
- }
- if (this.request.status != null && (this.request.status >= 400 || this.request.status < 0)) {
- // Do we need to deal with redirected links?
- this.blocking = 0;
- if (jsMath.Translate.restart && jsMath.Translate.asynchronous) {return ""}
- throw Error("jsMath can't load the file '"+url+"'\n"
- + "Error status: "+this.request.status);
- }
- if (!url.match(/\.js$/)) {return(this.request.responseText)}
- var tmpQueue = this.queue; this.queue = [];
-// this.debug('xml Eval ['+tmpQueue.length+']');
- jsMath.window.eval(this.request.responseText);
-// this.debug('xml Done ['+this.queue.length+' + '+tmpQueue.length+']');
- this.blocking = 0; this.queue = this.queue.concat(tmpQueue);
- this.Process();
- return "";
- },
-
- /********************************************************************
- *
- * Implement asynchronous loading and execution of scripts
- * (via hidden IFRAME) interleved with other JavaScript commands
- * that must be synchronized with the file loading. (Basically, this
- * is for MSIE/Mac and Opera 7.5, which don't have XMLHttpRequest.)
- */
-
- cancelTimeout: 30*1000, // delay for canceling load (30 sec)
-
- blocking: 0, // true when an asynchronous action is being performed
- cancelTimer: null, // timer to cancel load if it takes too long
- needsBody: 0, // true if loading files requires BODY to be present
-
- queue: [], // the stack of pending actions
-
- /*
- * Provide mechanism for synchronizing with the asynchronous jsMath
- * file-loading mechanism. 'code' can be a string or a function.
- */
- Synchronize: function (code,data) {
- if (typeof(code) != 'string') {jsMath.Script.Push(null,code,data)}
- else {jsMath.Script.Push(jsMath.window,'eval',code)}
- },
-
- /*
- * Queue a function to be processed.
- * If nothing is being loaded, do the pending commands.
- */
- Push: function (object,method,data) {
-// this.debug('Pushing: '+method+' at '+this.queue.length); // debug
- this.queue[this.queue.length] = [object,method,data];
- if (!(this.blocking || (this.needsBody && !jsMath.document.body))) this.Process();
- },
-
- /*
- * Do any pending functions (stopping if a file load is started)
- */
- Process: function () {
- while (this.queue.length && !this.blocking) {
- var call = this.queue[0]; this.queue = this.queue.slice(1);
- var savedQueue = this.SaveQueue();
- var object = call[0]; var method = call[1]; var data = call[2];
-// this.debug('Calling: '+method+' ['+savedQueue.length+']'); // debug
- if (object) {object[method](data)} else if (method) {method(data)}
-// this.debug('Done: '+method+' ['+this.queue.length+' + '+savedQueue.length+'] ('+this.blocking+')'); // debug
- this.RestoreQueue(savedQueue);
- }
- },
-
- /*
- * Allows pushes to occur at the FRONT of the queue
- * (so a command acts as a single unit, including anything
- * that it pushes on to the command stack)
- */
- SaveQueue: function () {
- var queue = this.queue;
- this.queue = [];
- return queue;
- },
- RestoreQueue: function (queue) {
- this.queue = this.queue.concat(queue);
- },
-
- /*
- * Handle loading of scripts that run asynchronously
- */
- delayedLoad: function (url) {
-// this.debug('Loading: '+url);
- this.Push(this,'startLoad',url);
- },
- startLoad: function (url) {
- var iframe = jsMath.document.createElement('iframe');
- iframe.style.visibility = 'hidden';
- iframe.style.position = 'absolute';
- iframe.style.width = '0px';
- iframe.style.height = '0px';
- if (jsMath.document.body.firstChild) {
- jsMath.document.body.insertBefore(iframe,jsMath.document.body.firstChild);
- } else {
- jsMath.document.body.appendChild(iframe);
- }
- this.blocking = 1; this.url = url;
- if (url.substr(0,jsMath.root.length) == jsMath.root)
- {url = url.substr(jsMath.root.length)}
- jsMath.Message.Set("Loading "+url);
- this.cancelTimer = setTimeout('jsMath.Script.cancelLoad()',this.cancelTimeout);
- if (this.mustPost) {iframe.src = jsMath.Post.startLoad(url,iframe)}
- else if (url.match(/\.js$/)) {iframe.src = jsMath.root+"jsMath-loader.html"}
- else {iframe.src = this.url}
- },
- endLoad: function (action) {
- if (this.cancelTimer) {clearTimeout(this.cancelTimer); this.cancelTimer = null}
- jsMath.Post.endLoad();
- jsMath.Message.Clear();
- if (action != 'cancel') {this.blocking = 0; this.Process()}
- },
-
- Start: function () {
-// this.debug('Starting: ['+this.queue.length+'] '+this.url);
- this.tmpQueue = this.queue; this.queue = [];
- },
- End: function () {
-// this.debug('Ending: ['+this.queue.length+' + '+this.tmpQueue.length+'] '+this.url);
- this.queue = this.queue.concat(this.tmpQueue); delete this.tmpQueue;
- },
-
- /*
- * If the loading takes too long, cancel it and end the load.
- */
- cancelLoad: function (message,delay) {
- if (this.cancelTimer) {clearTimeout(this.cancelTimer); this.cancelTimer = null}
- if (message == null) {message = "Can't load file"}
- if (delay == null) {delay = 2000}
- jsMath.Message.Set(message);
- setTimeout('jsMath.Script.endLoad("cancel")',delay);
- },
-
- /*
- * Perform a delay (to let the browser catch up)
- */
- Delay: function (time) {
- this.blocking = 1;
- setTimeout('jsMath.Script.endDelay()',time);
- },
- endDelay: function () {
-// this.debug('endDelay');
- this.blocking = 0;
- this.Process();
- },
-
- /*
- * Load an image and wait for it
- * (so MSIE won't load extra copies of it)
- */
- imageCount: 0,
- WaitForImage: function (file) {
- this.blocking = 1; this.imageCount++;
- if (this.img == null) {this.img = []}
- var img = new Image(); this.img[this.img.length] = img;
- img.onload = function () {if (--jsMath.Script.imageCount == 0) jsMath.Script.endDelay()}
- img.onerror = img.onload; img.onabort = img.onload;
- img.src = file;
- },
-
- /*
- * The code uncompressor
- */
- Uncompress: function (data) {
- for (var k = 0; k < data.length; k++) {
- var d = data[k]; var n = d.length;
- for (var i = 0; i < n; i++) {if (typeof(d[i]) == 'number') {d[i] = d[d[i]]}}
- data[k] = d.join('');
- }
- window.eval(data.join(''));
- }
-
- /*
- * for debugging the event queue
- */
- /*
- * ,debug: function (message) {
- * if (jsMath.document.body && jsMath.window.debug) {jsMath.window.debug(message)}
- * else {alert(message)}
- * }
- */
-
-};
-
-/***************************************************************************/
-
-/*
- * Handle window.postMessage() events in Firefox3
- */
-
-jsMath.Post = {
- window: null, // iframe we are listening to
-
- Listener: function (event) {
- if (event.source != jsMath.Post.window) return;
- var domain = event.origin.replace(/^file:\/\//,'');
- var ddomain = document.domain.replace(/^file:\/\//,'');
- if (domain == null || domain == "" || domain == "null") {domain = "localhost"}
- if (ddomain == null || ddomain == "" || ddomain == "null") {ddomain = "localhost"}
- if (domain != ddomain || !event.data.substr(0,6).match(/jsM(CP|LD|AL):/)) return;
- var type = event.data.substr(6,3).replace(/ /g,'');
- var message = event.data.substr(10);
- if (jsMath.Post.Commands[type]) (jsMath.Post.Commands[type])(message);
- // cancel event?
- },
-
- /*
- * Commands that can be performed by the listener
- */
- Commands: {
- SCR: function (message) {jsMath.window.eval(message)},
- ERR: function (message) {jsMath.Script.cancelLoad(message,3000)},
- BGN: function (message) {jsMath.Script.Start()},
- END: function (message) {if (message) jsMath.Script.End(); jsMath.Script.endLoad()}
- },
-
- startLoad: function (url,iframe) {
- this.window = iframe.contentWindow;
- if (!url.match(/\.js$/)) {return jsMath.root+url}
- return jsMath.root+"jsMath-loader-post.html?"+url;
- },
- endLoad: function () {this.window = null}
-};
-
-/***************************************************************************/
-
-/*
- * Message and screen blanking facility
- */
-
-jsMath.Message = {
-
- blank: null, // the div to blank out the screen
- message: null, // the div for the messages
- text: null, // the text node for messages
- clear: null, // timer for clearing message
-
- /*
- * Create the elements needed for the message box
- */
- Init: function () {
- if (!jsMath.document.body || !jsMath.Controls.cookie.progress) return;
- this.message = jsMath.Element('message');
- if (!this.message) {
- if (jsMath.Setup.stylesReady) {
- this.message = jsMath.Setup.DIV('message',{visibility:'hidden'},jsMath.fixedDiv);
- } else {
- this.message = jsMath.Setup.DIV('message',{
- visibility:'hidden', position:'absolute', bottom:'1px', left:'2px',
- backgroundColor:'#E6E6E6', border:'solid 1px #959595',
- margin:'0px', padding:'1px 8px', zIndex:102,
- color:'black', fontSize:'small', width:'auto'
- },jsMath.fixedDiv);
- }
- }
- this.text = jsMath.document.createTextNode('');
- this.message.appendChild(this.text);
- this.message.onmousedown = jsMath.Translate.Cancel;
- },
-
- /*
- * Set the contents of the message box, or use the window status line
- */
- Set: function (text,canCancel) {
- if (this.clear) {clearTimeout(this.clear); this.clear = null}
- if (jsMath.Controls.cookie.progress) {
- if (!this.text) {this.Init(); if (!this.text) return}
- if (jsMath.Browser.textNodeBug) {this.message.innerHTML = text}
- else {this.text.nodeValue = text}
- this.message.style.visibility = 'visible';
- if (canCancel) {
- this.message.style.cursor = 'pointer';
- if (!this.message.style.cursor) {this.message.style.cursor = 'hand'}
- this.message.title = ' Cancel Processing of Math ';
- } else {
- this.message.style.cursor = '';
- this.message.title = '';
- }
- } else {
- if (text.substr(0,8) != "Loading ") {jsMath.window.status = text}
- }
- },
-
- /*
- * Clear the message box or status line
- */
- Clear: function () {
- if (this.clear) {clearTimeout(this.clear)}
- this.clear = setTimeout("jsMath.Message.doClear()",1000);
- },
- doClear: function () {
- if (this.clear) {
- this.clear = null;
- jsMath.window.status = '';
- if (this.text) {this.text.nodeValue = ''}
- if (this.message) {this.message.style.visibility = 'hidden'}
- }
- },
-
-
- /*
- * Put up a DIV that covers the window so that the
- * "flicker" of processing the mathematics will not be visible
- */
- Blank: function () {
- if (this.blank || !jsMath.document.body) return;
- this.blank = jsMath.Setup.DIV("blank",{
- position:(jsMath.Browser.msiePositionFixedBug? 'absolute': 'fixed'),
- top:'0px', left:'0px', bottom:'0px', right:'0px',
- zIndex:101, backgroundColor:'white'
- },jsMath.fixedDiv);
- if (jsMath.Browser.msieBlankBug) {
- this.blank.innerHTML = ' ';
- this.blank.style.width = "110%";
- this.blank.style.height = "110%";
- }
- },
-
- UnBlank: function () {
- if (this.blank) {jsMath.document.body.removeChild(this.blank)}
- this.blank = null;
- }
-};
-
-
-/***************************************************************************/
-
-/*
- * Miscellaneous setup and initialization
- */
-jsMath.Setup = {
-
- loaded: [], // array of files already loaded
-
- /*
- * Insert a DIV at the top of the page with given ID,
- * attributes, and style settings
- */
- DIV: function (id,styles,parent) {
- if (parent == null) {parent = jsMath.document.body}
- var div = jsMath.document.createElement('div');
- div.id = 'jsMath_'+id;
- for (var i in styles) {div.style[i]= styles[i]}
- if (!parent.hasChildNodes) {parent.appendChild(div)}
- else {parent.insertBefore(div,parent.firstChild)}
- return div;
- },
-
- /*
- * Source a jsMath JavaScript file (only load any given file once)
- */
- Script: function (file,show) {
- if (this.loaded[file]) {return} else {this.loaded[file] = 1}
- if (!file.match('^([a-zA-Z]+:/?)?/')) {file = jsMath.root + file}
- jsMath.Script.Load(file,show);
- },
-
- /*
- * Use a hidden <DIV> 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('<span class="'+name+'">'+font[65].c+'</span>').h;
- font.d = jsMath.EmBoxFor('<span class="'+name+'">'+font[65].c+jsMath.HTML.Strut(font.hd)+'</span>').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',
- '<span style="display:none">x</span>' // MSIE needs this for some reason
- + '<style type="text/css">'+string+'</style>');
- } 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 <HEAD> section. Style sheet can't be created without it.");
- }
- },
-
- /*
- * Do the initialization that requires the <body> 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 <SPAN> is always at the same height
- * or varies with the height of the rest of the line (MSIE).
- */
- TestSpanHeight: function () {
- jsMath.hidden.innerHTML = '<span><span style="'+this.block+';height:2em;width:1px"></span>x</span>';
- 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('<span style="'+this.block+';width:10px;height:5px"></span>').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('<span style="'+this.block+';width:10px;height:5px"></span>').w > 0;
- if (!this.hasInlineBlock) return;
- }
- this.block += ';overflow:hidden';
- var h = jsMath.BBoxFor('x').h;
- this.mozInlineBlockBug = jsMath.BBoxFor(
- '<span style="'+this.block+';height:'+h+'px;width:1px"></span>x'+
- '<span style="'+this.block+';height:'+h+'px;width:1px;vertical-align:-'+h+'px"></span>').h > 2*h;
- this.widthAddsBorder = jsMath.BBoxFor('<span style="'+this.block+
- ';overflow:hidden;height:1px;width:10px;border-left:10px solid"></span>').w > 10;
- var h1 = jsMath.BBoxFor('<span style="'+this.block+';height:'+h+'px;width:1px"></span>x').h,
- h2 = jsMath.BBoxFor('<span style="'+this.block+';height:'+h+'px;width:1px;border-left:1px solid"></span>x').h,
- h3 = jsMath.BBoxFor('<span style="'+this.block+';height:2em"></span>').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 = '<span></span>';
- 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 = '<span ID="jsMath_test">x</span>';
- 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("<!--[if IE]>IE<![endif]-->").w) {
- jsMath.browser = 'MSIE';
- if (jsMath.platform == 'pc') {
- this.IE7 = (window.XMLHttpRequest != null);
- this.IE8 = (jsMath.BBoxFor("<!--[if gte IE 8]>IE8<![endif]-->").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 ?
- '<span style="display:inline-block; margin-right:-1px; width:1px"></span>' :
- '<span style="margin-right:-1px; width:1px"></span>');
- 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','<font face="Symbol">‹</font>','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:
- '<b>No jsMath TeX fonts found</b> -- using image fonts instead.<br/>\n'
- + 'These may be slow and might not print well.<br/>\n'
- + 'Use the jsMath control panel to get additional information.',
-
- extra_message:
- 'Extra TeX fonts not found: <b><span id="jsMath_ExtraFonts"></span></b><br/>'
- + 'Using image fonts instead. This may be slow and might not print well.<br/>\n'
- + 'Use the jsMath control panel to get additional information.',
-
- print_message:
- 'To print higher-resolution math symbols, click the<br/>\n'
- + '<b>Hi-Res Fonts for Printing</b> button on the jsMath control panel.<br/>\n',
-
- alpha_message:
- 'If the math symbols print as black boxes, turn off <b>image alpha channels</b><br/>\n'
- + 'using the <B>Options</B> pane of the jsMath control panel.<br/>\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('<span style="font-family: '+prefix+name+', serif">'+jsMath.TeX[name][n].c+'</span>');
- var wh2 = jsMath.BBoxFor('<span style="font-family: serif">'+jsMath.TeX[name][n].c+'</span>');
- //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('<span style="font-family: '+prefix+name+', serif">'+jsMath.TeX[name][n].c+'</span>');
- var wh2 = jsMath.BBoxFor('<span style="font-family: serif">'+jsMath.TeX[name][n].c+'</span>');
- //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('<span style="font-family: '+jsMath.Font.testFont+', serif">'+jsMath.TeX.cmex10[1].c+'</span>');
- 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('<span style="font-family: CMEX10, serif">'+jsMath.TeX.cmex10[1].c+'</span>');
- * 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
- *
- * <script>jsMath = {Font: {Message: function () {}}}</script>
- *
- * 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 =
- '<center><table><tr><td>'
- + '<div id="jsMath_noFont"><div class="message">' + message
- + '<div style="text-align:left"><span style="float:left; margin: 8px 0px 0px 20px">'
- + '<span onclick="jsMath.Controls.Panel()" title=" Open the jsMath Control Panel " class="link">jsMath Control Panel</span>'
- + '</span><span style="margin: 8px 20px 0px 0px; float:right">'
- + '<span onclick="jsMath.Font.HideMessage()" title=" Remove this font warning message " class="link">Hide this Message</span>'
- + '</span></div><div style="height:6px"></div><br clear="all"/></div></div>'
- + '<div style="width:22em; height:1px"></div>'
- + '</td></tr></table></center><hr/>';
- },
-
- 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 =
- '<center><table><tr><td>'
- + '<div class="message">' + message + '</div>'
- + '<div style="width:22em; height:1px"></div>'
- + '</td></tr></table></center><hr/>';
- },
-
- /*
- * 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 =
- '<span onclick="jsMath.Controls.Panel()">jsMath</span>';
- if (!jsMath.Global.isLocal && !jsMath.noShowGlobal) {
- button.innerHTML +=
- '<span id="jsMath_global" title=" Open jsMath Global Panel " '
- + 'onclick="jsMath.Global.Show(1)">Global </span>';
- }
- 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}],
- [0.417,0.04,1.16,{n: 104}], [0.417,0.04,1.16,{n: 105}],
- [0.472,0.04,1.16,{n: 106}], [0.472,0.04,1.16,{n: 107}],
- [0.472,0.04,1.16,{n: 108}], [0.472,0.04,1.16,{n: 109}],
- [0.583,0.04,1.16,{n: 110}], [0.583,0.04,1.16,{n: 111}],
- [0.472,0.04,1.16,{n: 68}], [0.472,0.04,1.16,{n: 69}],
- [0.333,0,0.6,{delim: {rep: 12}}], [0.556,0,0.6,{delim: {rep: 13}}],
- [0.578,0.04,1.16,{n: 46}], [0.578,0.04,1.16,{n: 47}],
-
- [0.597,0.04,1.76,{n: 18}], [0.597,0.04,1.76,{n: 19}],
- [0.736,0.04,2.36,{n: 32}], [0.736,0.04,2.36,{n: 33}],
- [0.528,0.04,2.36,{n: 34}], [0.528,0.04,2.36,{n: 35}],
- [0.583,0.04,2.36,{n: 36}], [0.583,0.04,2.36,{n: 37}],
- [0.583,0.04,2.36,{n: 38}], [0.583,0.04,2.36,{n: 39}],
- [0.75,0.04,2.36,{n: 40}], [0.75,0.04,2.36,{n: 41}],
- [0.75,0.04,2.36,{n: 42}], [0.75,0.04,2.36,{n: 43}],
- [1.04,0.04,2.36,{n: 44}], [1.04,0.04,2.36,{n: 45}],
-
- [0.792,0.04,2.96,{n: 48}], [0.792,0.04,2.96,{n: 49}],
- [0.583,0.04,2.96,{n: 50}], [0.583,0.04,2.96,{n: 51}],
- [0.639,0.04,2.96,{n: 52}], [0.639,0.04,2.96,{n: 53}],
- [0.639,0.04,2.96,{n: 54}], [0.639,0.04,2.96,{n: 55}],
- [0.806,0.04,2.96,{n: 56}], [0.806,0.04,2.96,{n: 57}],
- [0.806,0.04,2.96], [0.806,0.04,2.96],
- [1.28,0.04,2.96], [1.28,0.04,2.96],
- [0.811,0.04,1.76,{n: 30}], [0.811,0.04,1.76,{n: 31}],
-
- [0.875,0.04,1.76,{delim: {top: 48, bot: 64, rep: 66}}],
- [0.875,0.04,1.76,{delim: {top: 49, bot: 65, rep: 67}}],
- [0.667,0.04,1.76,{delim: {top: 50, bot: 52, rep: 54}}],
- [0.667,0.04,1.76,{delim: {top: 51, bot: 53, rep: 55}}],
- [0.667,0.04,1.76,{delim: {bot: 52, rep: 54}}],
- [0.667,0.04,1.76,{delim: {bot: 53, rep: 55}}],
- [0.667,0,0.6,{delim: {top: 50, rep: 54}}],
- [0.667,0,0.6,{delim: {top: 51, rep: 55}}],
- [0.889,0,0.9,{delim: {top: 56, mid: 60, bot: 58, rep: 62}}],
- [0.889,0,0.9,{delim: {top: 57, mid: 61, bot: 59, rep: 62}}],
- [0.889,0,0.9,{delim: {top: 56, bot: 58, rep: 62}}],
- [0.889,0,0.9,{delim: {top: 57, bot: 59, rep: 62}}],
- [0.889,0,1.8,{delim: {rep: 63}}],
- [0.889,0,1.8,{delim: {rep: 119}}],
- [0.889,0,0.3,{delim: {rep: 62}}],
- [0.667,0,0.6,{delim: {top: 120, bot: 121, rep: 63}}],
-
- [0.875,0.04,1.76,{delim: {top: 56, bot: 59, rep: 62}}],
- [0.875,0.04,1.76,{delim: {top: 57, bot: 58, rep: 62}}],
- [0.875,0,0.6,{delim: {rep: 66}}], [0.875,0,0.6,{delim: {rep: 67}}],
- [0.611,0.04,1.76,{n: 28}], [0.611,0.04,1.76,{n: 29}],
- [0.833,0,1,{n: 71}], [1.11,0.1,1.5], [0.472,0,1.11,{ic: 0.194, n: 73}],
- [0.556,0,2.22,{ic: 0.444}], [1.11,0,1,{n: 75}], [1.51,0.1,1.5],
- [1.11,0,1,{n: 77}], [1.51,0.1,1.5], [1.11,0,1,{n: 79}], [1.51,0.1,1.5],
-
- [1.06,0,1,{n: 88}], [0.944,0,1,{n: 89}], [0.472,0,1.11,{ic: 0.194, n: 90}],
- [0.833,0,1,{n: 91}], [0.833,0,1,{n: 92}], [0.833,0,1,{n: 93}],
- [0.833,0,1,{n: 94}], [0.833,0,1,{n: 95}], [1.44,0.1,1.5],
- [1.28,0.1,1.5], [0.556,0,2.22,{ic: 0.444}], [1.11,0.1,1.5],
- [1.11,0.1,1.5], [1.11,0.1,1.5], [1.11,0.1,1.5], [1.11,0.1,1.5],
-
- [0.944,0,1,{n: 97}], [1.28,0.1,1.5], [0.556,0.722,0,{n: 99}],
- [1,0.75,0,{n: 100}], [1.44,0.75], [0.556,0.722,0,{n: 102}],
- [1,0.75,0,{n: 103}], [1.44,0.75], [0.472,0.04,1.76,{n: 20}],
- [0.472,0.04,1.76,{n: 21}], [0.528,0.04,1.76,{n: 22}],
- [0.528,0.04,1.76,{n: 23}], [0.528,0.04,1.76,{n: 24}],
- [0.528,0.04,1.76,{n: 25}], [0.667,0.04,1.76,{n: 26}],
- [0.667,0.04,1.76,{n: 27}],
-
- [1,0.04,1.16,{n: 113}], [1,0.04,1.76,{n: 114}], [1,0.04,2.36,{n: 115}],
- [1,0.04,2.96,{n: 116}], [1.06,0,1.8,{delim: {top: 118, bot: 116, rep: 117}}],
- [1.06,0,0.6], [1.06,0.04,0.56],
- [0.778,0,0.6,{delim: {top: 126, bot: 127, rep: 119}}],
- [0.667,0,0.6,{delim: {top: 120, rep: 63}}],
- [0.667,0,0.6,{delim: {bot: 121, rep: 63}}],
- [0.45,0.12], [0.45,0.12], [0.45,0.12], [0.45,0.12],
- [0.778,0,0.6,{delim: {top: 126, rep: 119}}],
- [0.778,0,0.6,{delim: {bot: 127, rep: 119}}]
- ],
-
- cmti10: [
- [0.627,0.683,0,{ic: 0.133}], [0.818,0.683], [0.767,0.683,0,{ic: 0.094}],
- [0.692,0.683], [0.664,0.683,0,{ic: 0.153}], [0.743,0.683,0,{ic: 0.164}],
- [0.716,0.683,0,{ic: 0.12}], [0.767,0.683,0,{ic: 0.111}],
- [0.716,0.683,0,{ic: 0.0599}], [0.767,0.683,0,{ic: 0.111}],
- [0.716,0.683,0,{ic: 0.103}],
- [0.613,0.694,0.194,{ic: 0.212, krn: {'39': 0.104, '63': 0.104, '33': 0.104, '41': 0.104, '93': 0.104}, lig: {'105': 14, '108': 15}}],
- [0.562,0.694,0.194,{ic: 0.103}], [0.588,0.694,0.194,{ic: 0.103}],
- [0.882,0.694,0.194,{ic: 0.103}], [0.894,0.694,0.194,{ic: 0.103}],
-
- [0.307,0.431,0,{ic: 0.0767}], [0.332,0.431,0.194,{ic: 0.0374}],
- [0.511,0.694], [0.511,0.694,0,{ic: 0.0969}], [0.511,0.628,0,{ic: 0.083}],
- [0.511,0.694,0,{ic: 0.108}], [0.511,0.562,0,{ic: 0.103}], [0.831,0.694],
- [0.46,0,0.17], [0.537,0.694,0.194,{ic: 0.105}], [0.716,0.431,0,{ic: 0.0751}],
- [0.716,0.431,0,{ic: 0.0751}], [0.511,0.528,0.0972,{ic: 0.0919}],
- [0.883,0.683,0,{ic: 0.12}], [0.985,0.683,0,{ic: 0.12}],
- [0.767,0.732,0.0486,{ic: 0.094}],
-
- [0.256,0.431,0,{krn: {'108': -0.256, '76': -0.321}}],
- [0.307,0.694,0,{ic: 0.124, lig: {'96': 60}}],
- [0.514,0.694,0,{ic: 0.0696}], [0.818,0.694,0.194,{ic: 0.0662}],
- [0.769,0.694], [0.818,0.75,0.0556,{ic: 0.136}],
- [0.767,0.694,0,{ic: 0.0969}],
- [0.307,0.694,0,{ic: 0.124, krn: {'63': 0.102, '33': 0.102}, lig: {'39': 34}}],
- [0.409,0.75,0.25,{ic: 0.162}], [0.409,0.75,0.25,{ic: 0.0369}],
- [0.511,0.75,0,{ic: 0.149}], [0.767,0.562,0.0567,{ic: 0.0369}],
- [0.307,0.106,0.194], [0.358,0.431,0,{ic: 0.0283, lig: {'45': 123}}],
- [0.307,0.106], [0.511,0.75,0.25,{ic: 0.162}],
-
- [0.511,0.644,0,{ic: 0.136}], [0.511,0.644,0,{ic: 0.136}],
- [0.511,0.644,0,{ic: 0.136}], [0.511,0.644,0,{ic: 0.136}],
- [0.511,0.644,0.194,{ic: 0.136}], [0.511,0.644,0,{ic: 0.136}],
- [0.511,0.644,0,{ic: 0.136}], [0.511,0.644,0.194,{ic: 0.136}],
- [0.511,0.644,0,{ic: 0.136}], [0.511,0.644,0,{ic: 0.136}],
- [0.307,0.431,0,{ic: 0.0582}], [0.307,0.431,0.194,{ic: 0.0582}],
- [0.307,0.5,0.194,{ic: 0.0756}], [0.767,0.367,-0.133,{ic: 0.0662}],
- [0.511,0.5,0.194], [0.511,0.694,0,{ic: 0.122, lig: {'96': 62}}],
-
- [0.767,0.694,0,{ic: 0.096}],
- [0.743,0.683,0,{krn: {'110': -0.0256, '108': -0.0256, '114': -0.0256, '117': -0.0256, '109': -0.0256, '116': -0.0256, '105': -0.0256, '67': -0.0256, '79': -0.0256, '71': -0.0256, '104': -0.0256, '98': -0.0256, '85': -0.0256, '107': -0.0256, '118': -0.0256, '119': -0.0256, '81': -0.0256, '84': -0.0767, '89': -0.0767, '86': -0.102, '87': -0.102, '101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}],
- [0.704,0.683,0,{ic: 0.103}], [0.716,0.683,0,{ic: 0.145}],
- [0.755,0.683,0,{ic: 0.094, krn: {'88': -0.0256, '87': -0.0256, '65': -0.0256, '86': -0.0256, '89': -0.0256}}],
- [0.678,0.683,0,{ic: 0.12}],
- [0.653,0.683,0,{ic: 0.133, krn: {'111': -0.0767, '101': -0.0767, '117': -0.0767, '114': -0.0767, '97': -0.0767, '65': -0.102, '79': -0.0256, '67': -0.0256, '71': -0.0256, '81': -0.0256}}],
- [0.774,0.683,0,{ic: 0.0872}], [0.743,0.683,0,{ic: 0.164}],
- [0.386,0.683,0,{ic: 0.158}], [0.525,0.683,0,{ic: 0.14}],
- [0.769,0.683,0,{ic: 0.145, krn: {'79': -0.0256, '67': -0.0256, '71': -0.0256, '81': -0.0256}}],
- [0.627,0.683,0,{krn: {'84': -0.0767, '89': -0.0767, '86': -0.102, '87': -0.102, '101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}],
- [0.897,0.683,0,{ic: 0.164}], [0.743,0.683,0,{ic: 0.164}],
- [0.767,0.683,0,{ic: 0.094, krn: {'88': -0.0256, '87': -0.0256, '65': -0.0256, '86': -0.0256, '89': -0.0256}}],
-
- [0.678,0.683,0,{ic: 0.103, krn: {'65': -0.0767}}],
- [0.767,0.683,0.194,{ic: 0.094}],
- [0.729,0.683,0,{ic: 0.0387, krn: {'110': -0.0256, '108': -0.0256, '114': -0.0256, '117': -0.0256, '109': -0.0256, '116': -0.0256, '105': -0.0256, '67': -0.0256, '79': -0.0256, '71': -0.0256, '104': -0.0256, '98': -0.0256, '85': -0.0256, '107': -0.0256, '118': -0.0256, '119': -0.0256, '81': -0.0256, '84': -0.0767, '89': -0.0767, '86': -0.102, '87': -0.102, '101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}],
- [0.562,0.683,0,{ic: 0.12}],
- [0.716,0.683,0,{ic: 0.133, krn: {'121': -0.0767, '101': -0.0767, '111': -0.0767, '114': -0.0767, '97': -0.0767, '117': -0.0767, '65': -0.0767}}],
- [0.743,0.683,0,{ic: 0.164}],
- [0.743,0.683,0,{ic: 0.184, krn: {'111': -0.0767, '101': -0.0767, '117': -0.0767, '114': -0.0767, '97': -0.0767, '65': -0.102, '79': -0.0256, '67': -0.0256, '71': -0.0256, '81': -0.0256}}],
- [0.999,0.683,0,{ic: 0.184, krn: {'65': -0.0767}}],
- [0.743,0.683,0,{ic: 0.158, krn: {'79': -0.0256, '67': -0.0256, '71': -0.0256, '81': -0.0256}}],
- [0.743,0.683,0,{ic: 0.194, krn: {'101': -0.0767, '111': -0.0767, '114': -0.0767, '97': -0.0767, '117': -0.0767, '65': -0.0767}}],
- [0.613,0.683,0,{ic: 0.145}], [0.307,0.75,0.25,{ic: 0.188}],
- [0.514,0.694,0,{ic: 0.169}], [0.307,0.75,0.25,{ic: 0.105}],
- [0.511,0.694,0,{ic: 0.0665}], [0.307,0.668,0,{ic: 0.118}],
-
- [0.307,0.694,0,{ic: 0.124, lig: {'96': 92}}], [0.511,0.431,0,{ic: 0.0767}],
- [0.46,0.694,0,{ic: 0.0631, krn: {'101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}],
- [0.46,0.431,0,{ic: 0.0565, krn: {'101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}],
- [0.511,0.694,0,{ic: 0.103, krn: {'108': 0.0511}}],
- [0.46,0.431,0,{ic: 0.0751, krn: {'101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}],
- [0.307,0.694,0.194,{ic: 0.212, krn: {'39': 0.104, '63': 0.104, '33': 0.104, '41': 0.104, '93': 0.104}, lig: {'105': 12, '102': 11, '108': 13}}],
- [0.46,0.431,0.194,{ic: 0.0885}], [0.511,0.694,0,{ic: 0.0767}],
- [0.307,0.655,0,{ic: 0.102}], [0.307,0.655,0.194,{ic: 0.145}],
- [0.46,0.694,0,{ic: 0.108}], [0.256,0.694,0,{ic: 0.103, krn: {'108': 0.0511}}],
- [0.818,0.431,0,{ic: 0.0767}], [0.562,0.431,0,{ic: 0.0767, krn: {'39': -0.102}}],
- [0.511,0.431,0,{ic: 0.0631, krn: {'101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}],
-
- [0.511,0.431,0.194,{ic: 0.0631, krn: {'101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}],
- [0.46,0.431,0.194,{ic: 0.0885}],
- [0.422,0.431,0,{ic: 0.108, krn: {'101': -0.0511, '97': -0.0511, '111': -0.0511, '100': -0.0511, '99': -0.0511, '103': -0.0511, '113': -0.0511}}],
- [0.409,0.431,0,{ic: 0.0821}], [0.332,0.615,0,{ic: 0.0949}],
- [0.537,0.431,0,{ic: 0.0767}], [0.46,0.431,0,{ic: 0.108}],
- [0.664,0.431,0,{ic: 0.108, krn: {'108': 0.0511}}],
- [0.464,0.431,0,{ic: 0.12}], [0.486,0.431,0.194,{ic: 0.0885}],
- [0.409,0.431,0,{ic: 0.123}], [0.511,0.431,0,{ic: 0.0921, lig: {'45': 124}}],
- [1.02,0.431,0,{ic: 0.0921}], [0.511,0.694,0,{ic: 0.122}],
- [0.511,0.668,0,{ic: 0.116}], [0.511,0.668,0,{ic: 0.105}]
- ],
-
- cmbx10: [
- [0.692,0.686], [0.958,0.686], [0.894,0.686], [0.806,0.686],
- [0.767,0.686], [0.9,0.686], [0.831,0.686], [0.894,0.686],
- [0.831,0.686], [0.894,0.686], [0.831,0.686],
- [0.671,0.694,0,{ic: 0.109, krn: {'39': 0.109, '63': 0.109, '33': 0.109, '41': 0.109, '93': 0.109}, lig: {'105': 14, '108': 15}}],
- [0.639,0.694], [0.639,0.694], [0.958,0.694], [0.958,0.694],
-
- [0.319,0.444], [0.351,0.444,0.194], [0.575,0.694], [0.575,0.694],
- [0.575,0.632], [0.575,0.694], [0.575,0.596], [0.869,0.694],
- [0.511,0,0.17], [0.597,0.694], [0.831,0.444], [0.894,0.444],
- [0.575,0.542,0.0972], [1.04,0.686], [1.17,0.686], [0.894,0.735,0.0486],
-
- [0.319,0.444,0,{krn: {'108': -0.319, '76': -0.378}}],
- [0.35,0.694,0,{lig: {'96': 60}}], [0.603,0.694], [0.958,0.694,0.194],
- [0.575,0.75,0.0556], [0.958,0.75,0.0556], [0.894,0.694],
- [0.319,0.694,0,{krn: {'63': 0.128, '33': 0.128}, lig: {'39': 34}}],
- [0.447,0.75,0.25], [0.447,0.75,0.25], [0.575,0.75], [0.894,0.633,0.133],
- [0.319,0.156,0.194], [0.383,0.444,0,{lig: {'45': 123}}],
- [0.319,0.156], [0.575,0.75,0.25],
-
- [0.575,0.644], [0.575,0.644], [0.575,0.644], [0.575,0.644],
- [0.575,0.644], [0.575,0.644], [0.575,0.644], [0.575,0.644],
- [0.575,0.644], [0.575,0.644], [0.319,0.444], [0.319,0.444,0.194],
- [0.35,0.5,0.194], [0.894,0.391,-0.109], [0.543,0.5,0.194],
- [0.543,0.694,0,{lig: {'96': 62}}],
-
- [0.894,0.694],
- [0.869,0.686,0,{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}}],
- [0.818,0.686], [0.831,0.686],
- [0.882,0.686,0,{krn: {'88': -0.0319, '87': -0.0319, '65': -0.0319, '86': -0.0319, '89': -0.0319}}],
- [0.756,0.686],
- [0.724,0.686,0,{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}}],
- [0.904,0.686], [0.9,0.686], [0.436,0.686,0,{krn: {'73': 0.0319}}],
- [0.594,0.686],
- [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+'<span class="spacer" style="margin-left:'+this.Em(w)+'"></span>';
- },
-
- /*
- * 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 = '<span class="spacer" style="margin-right:-1px"></span>'
- } 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+'<span class="blank" style="'+style+'"></span>';
- },
-
- /*
- * 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 '<img style="width:1px; height:'+this.Em(h)+'"/>'
- },
-
- /*
- * Add a <SPAN> tag to activate a specific CSS class
- */
- Class: function (tclass,html) {
- return '<span class="'+tclass+'">'+html+'</span>';
- },
-
- /*
- * Use a <SPAN> to place some HTML at a specific position.
- * (This can be replaced by the ones below to overcome
- * some browser-specific bugs.)
- */
- Place: function (html,x,y) {
- if (Math.abs(x) < .0001) {x = 0}
- if (Math.abs(y) < .0001) {y = 0}
- if (x || y) {
- var span = '<span style="position: relative;';
- if (x) {span += ' margin-left:'+this.Em(x)+';'}
- if (y) {span += ' top:'+this.Em(-y)+';'}
- html = span + '">' + html + '</span>';
- }
- return html;
- },
-
- /*
- * For MSIE on Windows, backspacing must be done in a separate
- * <SPAN>, otherwise the contents will be clipped. Netscape
- * also doesn't combine vertical and horizontal spacing well.
- * Here the x and y positioning are done in separate <SPAN> 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) +
- '<span style="position: relative; '
- + 'top:'+this.Em(-y)+';'
- + 'left:'+this.Em(rw)+';'
- + width + '">' +
- this.Spacer(-lw) +
- html +
- this.Spacer(rw) +
- '</span>'
- }
- 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 =
- '<span style="position:absolute; left:'+this.Em(x)+'; '
- + 'top:'+this.Em(y)+';'+width+'">' +
- leftSpace + html + rightSpace +
- ' ' + // space normalizes line height in script styles
- '</span>';
- return html;
- },
-
- Absolute: function(html,w,h,d,y) {
- if (y != "none") {
- if (Math.abs(y) < .0001) {y = 0}
- html = '<span style="position:absolute; '
- + 'top:'+jsMath.HTML.Em(y)+'; left:0em;">'
- + html + ' ' // space normalizes line height in script styles
- + '</span>';
- }
- if (d == "none") {d = 0}
- html += this.Blank((jsMath.Browser.lineBreakBug ? 0 : w),h-d,d);
- if (jsMath.Browser.msieAbsoluteBug) { // for MSIE (Mac)
- html = '<span style="position:relative;">' + html + '</span>';
- }
- html = '<span style="position:relative;'
- + jsMath.Browser.msieInlineBlockFix
- + '">' + html + '</span>';
- if (jsMath.Browser.lineBreakBug)
- {html = '<span style="display:inline-block; width:'+jsMath.HTML.Em(w)+'">'+html+'</span>'}
- return html;
- }
-
-};
-
-
-/***************************************************************************/
-
-/*
- * jsMath.Box handles TeX's math boxes and jsMath's equivalent of hboxes.
- */
-
-jsMath.Box = function (format,text,w,h,d) {
- if (d == null) {d = jsMath.d}
- this.type = 'typeset';
- this.w = w; this.h = h; this.d = d; this.bh = h; this.bd = d;
- this.x = 0; this.y = 0; this.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 += '<span style="display:none">x</span>';
- }
- }
- 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 += '<span style="display:none">x</span>'}
- 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 = '<img src="'+jsMath.blank+'" '
- + 'style="'+jsMath.Browser.msieCenterBugFix
- + resize + vadjust + wadjust
- + ' filter:progid:DXImageTransform.Microsoft.AlphaImageLoader(src=' + "'"
- + URL + "', sizingMethod='scale'" + ');" />';
- } else {
- c.c = '<img src="'+URL+'" style="'+jsMath.Browser.msieCenterBugFix
- + resize + vadjust + wadjust + '" />';
- }
- 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,'<')
- .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 = '<span class="size'+size+'">' + html + '</span>'}
- return html;
- },
-
- /*
- * Add the font class, if needed
- */
- AddClass: function (tclass,html) {
- if (tclass != '' && tclass != 'normal') {html = jsMath.HTML.Class(tclass,html)}
- return html;
- }
-
-});
-
-
-jsMath.Package(jsMath.Typeset,{
-
- /*
- * The spacing tables for inter-atom spacing
- * (See rule 20, and Chapter 18, p 170)
- */
- DTsep: {
- ord: {op: 1, bin: 2, rel: 3, inner: 1},
- op: {ord: 1, op: 1, rel: 3, inner: 1},
- bin: {ord: 2, op: 2, open: 2, inner: 2},
- rel: {ord: 3, op: 3, open: 3, inner: 3},
- open: {},
- close: {op: 1, bin:2, rel: 3, inner: 1},
- punct: {ord: 1, op: 1, rel: 1, open: 1, close: 1, punct: 1, inner: 1},
- inner: {ord: 1, op: 1, bin: 2, rel: 3, open: 1, punct: 1, inner: 1}
- },
-
- SSsep: {
- ord: {op: 1},
- op: {ord: 1, op: 1},
- bin: {},
- rel: {},
- open: {},
- close: {op: 1},
- punct: {},
- inner: {op: 1}
- },
-
- /*
- * The sizes used in the tables above
- */
- sepW: ['','thinmuskip','medmuskip','thickmuskip'],
-
-
- /*
- * Find the amount of separation to use between two adjacent
- * atoms in the given style
- */
- GetSeparation: function (l,r,style) {
- if (l && l.atom && r.atom) {
- var table = this.DTsep; if (style.charAt(0) == "S") {table = this.SSsep}
- var row = table[l.type];
- if (row && row[r.type] != null) {return jsMath.TeX[this.sepW[row[r.type]]]}
- }
- return 0;
- },
-
- /*
- * Typeset an mlist (i.e., turn it into HTML).
- * Here, text items of the same class and style are combined
- * to reduce the number of <SPAN> tags used (though it is still
- * huge). Spaces are combined, when possible.
- * ### More needs to be done with that. ###
- * The width of the final box is recomputed at the end, since
- * the final width is not necessarily the sum of the widths of
- * the individual parts (widths are in pixels, but the browsers
- * puts pieces together using sub-pixel accuracy).
- */
- Typeset: function (style,size) {
- this.style = style; this.size = size; var unset = -10000
- this.w = 0; this.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 <SPAN> 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 = '<span style="position: relative;';
- if (item.x) {html += ' margin-left:'+jsMath.HTML.Em(item.x)+';'}
- if (item.y) {html += ' top:'+jsMath.HTML.Em(-item.y)+';'}
- item.html = html + '">' + item.html + '</span>';
- item.h += item.y; item.d -= item.y;
- item.x = 0; item.y = 0;
- },
-
- /*
- * For MSIE on Windows, backspacing must be done in a separate
- * <SPAN>, 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) +
- '<span style="position: relative; '
- + 'top:'+jsMath.HTML.Em(-item.y)+'; '
- + 'left:'+jsMath.HTML.Em(rw)+'; width:'+jsMath.HTML.Em(W)+';">' +
- jsMath.HTML.Spacer(-lw) +
- item.html +
- jsMath.HTML.Spacer(rw) +
- '</span>'
- }
- 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,'lim<span style="margin-left: '+1/6+'em"></span>inf'],
- limsup: ['NamedOp',null,'lim<span style="margin-left: '+1/6+'em"></span>sup'],
- ln: ['NamedOp',0],
- log: ['NamedOp',0],
- max: 'NamedOp',
- min: 'NamedOp',
- Pr: 'NamedOp',
- sec: ['NamedOp',0],
- sin: ['NamedOp',0],
- sinh: ['NamedOp',0],
- sup: 'NamedOp',
- tan: ['NamedOp',0],
- tanh: ['NamedOp',0],
-
- vcenter: ['HandleAtom','vcenter'],
- overline: ['HandleAtom','overline'],
- underline: ['HandleAtom','underline'],
- over: 'HandleOver',
- overwithdelims: 'HandleOver',
- atop: 'HandleOver',
- atopwithdelims: 'HandleOver',
- above: 'HandleOver',
- abovewithdelims: 'HandleOver',
- brace: ['HandleOver','\\{','\\}'],
- brack: ['HandleOver','[',']'],
- choose: ['HandleOver','(',')'],
-
- overbrace: ['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 = '<span style="vertical-align:'+jsMath.HTML.Em(-d)+'">'
- + html + '</span>';
- }
- this.mlist.Add(jsMath.mItem.Typeset(new jsMath.Box('html',html,w,h-d,d)));
- },
-
- /*
- * Inserts an empty box of a specific height and depth
- */
- Strut: function () {
- var size = this.mlist.data.size;
- var box = jsMath.Box.Text('','normal','T',size).Styled();
- box.bh = box.bd = 0; box.h = .8; box.d = .3; box.w = 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 <SPAN> tags to hide its
- * actual dimensions when these don't match the TeX dimensions of the
- * results. We also include an image to force the results to take up
- * the right amount of space. The results may need to be vertically
- * adjusted to make the baseline appear in the correct place.
- */
- Typeset: function () {
- var data = this.mlist.init;
- var box = this.typeset = this.mlist.Typeset(data.style,data.size);
- if (this.error) {return '<span class="error">'+this.error+'</span>'}
- if (box.format == 'null') {return ''};
-
- 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 = '<span style="line-height:'+jsMath.HTML.Em(jsMath.d)+';">'
- + html + '</span>';
- } 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 = '<span style="line-height:'+jsMath.HTML.Em(jsMath.d)+';'
- + ' position:relative; top:'+dy+'; vertical-align:'+dy
- + '">' + html + '</span>';
- }
- 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 '<nobr><span class="scale">'+html+'</span></nobr>';
- }
-
-});
-
-/*
- * 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:
- *
- * <script> jsMath.Process() </script>
- * or
- * <script> jsMath.ProcessBeforeShowing() </script>
- *
- * The first will process the page asynchronously (so the user can start
- * reading the top of the file while jsMath is still processing the bottom)
- * while the second does not update until all the mathematics is typeset.
- */
-
-jsMath.Add(jsMath,{
- /*
- * 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\[((.|\n)*)\]\]$/,"$1");
- }
- if (element.childNodes.length === 0) {return " "}
- var text = '';
- for (var i = 0; i < element.childNodes.length; i++)
- {text += this.recursiveElementText(element.childNodes[i])}
- return text;
- },
-
- /*
- * Move hidden to the location of the math element to be
- * processed and reinitialize sizes for that location.
- */
- ResetHidden: function (element) {
- element.innerHTML =
- '<span id="jsMath_hiddenSpan" style="position:absolute"></span>'
- + jsMath.Browser.operaHiddenFix; // needed by Opera in tables
- element.className = '';
- jsMath.hidden = element.firstChild;
- if (!jsMath.BBoxFor("x").w) {jsMath.hidden = jsMath.hiddenTop}
- jsMath.ReInit();
- },
-
-
- /*
- * Typeset the contents of an element in \textstyle or \displaystyle
- */
- ConvertMath: function (style,element,noCache) {
- var text = this.GetElementText(element);
- this.ResetHidden(element);
- if (text.match(/^\s*\\nocache([^a-zA-Z])/))
- {noCache = true; text = text.replace(/\s*\\nocache/,'')}
- text = this.Parse(style,text,noCache);
- element.className = 'typeset';
- element.innerHTML = text;
- },
-
- /*
- * Process a math element
- */
- ProcessElement: function (element) {
- this.restart = 0;
- if (!element.className.match(/(^| )math( |$)/)) 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,'<')
- .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 <SPAN> or <DIV> 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");
-
-}}