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scribble-mathjax/unpacked/jax/output/SVG/jax.js

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/* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */
/* vim: set ts=2 et sw=2 tw=80: */
/*************************************************************
*
* MathJax/jax/output/SVG/jax.js
*
* Implements the SVG OutputJax that displays mathematics using
* SVG (or VML in IE) to position the characters from math fonts
* in their proper locations.
*
* ---------------------------------------------------------------------
*
* Copyright (c) 2011-2015 The MathJax Consortium
*
* 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.
*/
(function (AJAX,HUB,HTML,SVG) {
var MML;
var SVGNS = "http://www.w3.org/2000/svg";
var XLINKNS = "http://www.w3.org/1999/xlink";
SVG.Augment({
HFUZZ: 2, // adjustments for height and depth of final svg element
DFUZZ: 2, // to get baselines right (fragile).
config: {
styles: {
".MathJax_SVG": {
"display": "inline",
"font-style": "normal",
"font-weight": "normal",
"line-height": "normal",
"font-size": "100%",
"font-size-adjust":"none",
"text-indent": 0,
"text-align": "left",
"text-transform": "none",
"letter-spacing": "normal",
"word-spacing": "normal",
"word-wrap": "normal",
"white-space": "nowrap",
"float": "none",
"direction": "ltr",
"max-width": "none", "max-height": "none",
"min-width": 0, "min-height": 0,
border: 0, padding: 0, margin: 0
},
".MathJax_SVG_Display": {
position: "relative",
display: "block!important",
"text-indent": 0,
"max-width": "none", "max-height": "none",
"min-width": 0, "min-height": 0,
width: "100%"
},
".MathJax_SVG *": {
transition: "none",
"-webkit-transition": "none",
"-moz-transition": "none",
"-ms-transition": "none",
"-o-transition": "none"
},
".mjx-svg-href": {
fill: "blue", stroke: "blue"
},
".MathJax_SVG_Processing": {
visibility: "hidden", position:"absolute", top:0, left:0,
width:0, height: 0, overflow:"hidden", display:"block!important"
},
".MathJax_SVG_Processed": {display:"none!important"},
".MathJax_SVG_ExBox": {
display:"block!important", overflow:"hidden",
width:"1px", height:"60ex",
"min-height": 0, "max-height":"none",
padding:0, border: 0, margin: 0
},
"#MathJax_SVG_Tooltip": {
position: "absolute", left: 0, top: 0,
width: "auto", height: "auto",
display: "none"
}
}
},
hideProcessedMath: true, // use display:none until all math is processed
fontNames: ["TeX","STIX","STIX-Web","Asana-Math",
"Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],
Config: function () {
this.SUPER(arguments).Config.apply(this,arguments);
var settings = HUB.config.menuSettings, config = this.config, font = settings.font;
if (settings.scale) {config.scale = settings.scale}
if (font && font !== "Auto") {
font = font.replace(/(Local|Web|Image)$/i,"");
font = font.replace(/([a-z])([A-Z])/,"$1-$2");
this.fontInUse = font;
} else {
this.fontInUse = config.font || "TeX";
}
if (this.fontNames.indexOf(this.fontInUse) < 0) {this.fontInUse = "TeX"}
this.fontDir += "/" + this.fontInUse;
if (!this.require) {this.require = []}
this.require.push(this.fontDir+"/fontdata.js");
this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");
},
Startup: function () {
// Set up event handling
EVENT = MathJax.Extension.MathEvents.Event;
TOUCH = MathJax.Extension.MathEvents.Touch;
HOVER = MathJax.Extension.MathEvents.Hover;
this.ContextMenu = EVENT.ContextMenu;
this.Mousedown = EVENT.AltContextMenu;
this.Mouseover = HOVER.Mouseover;
this.Mouseout = HOVER.Mouseout;
this.Mousemove = HOVER.Mousemove;
// Make hidden div for doing tests and storing global SVG <defs>
this.hiddenDiv = HTML.Element("div",{
style:{visibility:"hidden", overflow:"hidden", position:"absolute", top:0,
height:"1px", width: "auto", padding:0, border:0, margin:0,
textAlign:"left", textIndent:0, textTransform:"none",
lineHeight:"normal", letterSpacing:"normal", wordSpacing:"normal"}
});
if (!document.body.firstChild) {document.body.appendChild(this.hiddenDiv)}
else {document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}
this.hiddenDiv = HTML.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});
// Determine pixels-per-inch and em-size
var div = HTML.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});
this.pxPerInch = div.offsetWidth/5; this.hiddenDiv.removeChild(div);
// Used for measuring text sizes
this.textSVG = this.Element("svg");
// Global defs for font glyphs
BBOX.GLYPH.defs = this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),
"defs",{id:"MathJax_SVG_glyphs"});
// Used in preTranslate to get scaling factors
this.ExSpan = HTML.Element("span",
{style:{position:"absolute","font-size-adjust":"none"}},
[["span",{className:"MathJax_SVG_ExBox"}]]
);
// Used in preTranslate to get linebreak width
this.linebreakSpan = HTML.Element("span",null,
[["hr",{style: {width:"auto", size:1, padding:0, border:0, margin:0}}]]);
// Set up styles
return AJAX.Styles(this.config.styles,["InitializeSVG",this]);
},
//
// Handle initialization that requires styles to be set up
//
InitializeSVG: function () {
//
// Get the default sizes (need styles in place to do this)
//
document.body.appendChild(this.ExSpan);
document.body.appendChild(this.linebreakSpan);
this.defaultEx = this.ExSpan.firstChild.offsetHeight/60;
this.defaultWidth = this.linebreakSpan.firstChild.offsetWidth;
document.body.removeChild(this.linebreakSpan);
document.body.removeChild(this.ExSpan);
},
preTranslate: function (state) {
var scripts = state.jax[this.id], i, m = scripts.length,
script, prev, span, div, test, jax, ex, em, maxwidth, relwidth = false, cwidth,
linebreak = this.config.linebreaks.automatic, width = this.config.linebreaks.width;
if (linebreak) {
relwidth = (width.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/) != null);
if (relwidth) {width = width.replace(/\s*container\s*/,"")}
else {maxwidth = this.defaultWidth}
if (width === "") {width = "100%"}
} else {maxwidth = 100000} // a big width, so no implicit line breaks
//
// Loop through the scripts
//
for (i = 0; i < m; i++) {
script = scripts[i]; if (!script.parentNode) continue;
//
// Remove any existing output
//
prev = script.previousSibling;
if (prev && String(prev.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Processing)?$/))
{prev.parentNode.removeChild(prev)}
//
// Add the span, and a div if in display mode,
// then set the role and mark it as being processed
//
jax = script.MathJax.elementJax; if (!jax) continue;
jax.SVG = {display: (jax.root.Get("display") === "block")}
span = div = HTML.Element("span",{
style: {"font-size": this.config.scale+"%", display:"inline-block"},
className:"MathJax_SVG", id:jax.inputID+"-Frame", isMathJax:true, jaxID:this.id,
oncontextmenu:EVENT.Menu, onmousedown: EVENT.Mousedown,
onmouseover:EVENT.Mouseover, onmouseout:EVENT.Mouseout, onmousemove:EVENT.Mousemove,
onclick:EVENT.Click, ondblclick:EVENT.DblClick,
// Added for keyboard accessible menu.
onkeydown: EVENT.Keydown, tabIndex: HUB.getTabOrder(jax)
});
if (HUB.Browser.noContextMenu) {
span.ontouchstart = TOUCH.start;
span.ontouchend = TOUCH.end;
}
if (jax.SVG.display) {
div = HTML.Element("div",{className:"MathJax_SVG_Display"});
div.appendChild(span);
}
div.className += " MathJax_SVG_Processing";
script.parentNode.insertBefore(div,script);
//
// Add the test span for determining scales and linebreak widths
//
script.parentNode.insertBefore(this.ExSpan.cloneNode(true),script);
div.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),div);
}
//
// Determine the scaling factors for each script
// (this only requires one reflow rather than a reflow for each equation)
//
for (i = 0; i < m; i++) {
script = scripts[i]; if (!script.parentNode) continue;
test = script.previousSibling; div = test.previousSibling;
jax = script.MathJax.elementJax; if (!jax) continue;
ex = test.firstChild.offsetHeight/60;
cwidth = div.previousSibling.firstChild.offsetWidth / this.config.scale * 100;
if (relwidth) {maxwidth = cwidth}
if (ex === 0 || ex === "NaN") {
// can't read width, so move to hidden div for processing
// (this will cause a reflow for each math element that is hidden)
this.hiddenDiv.appendChild(div);
jax.SVG.isHidden = true;
ex = this.defaultEx; cwidth = this.defaultWidth;
if (relwidth) {maxwidth = cwidth}
}
jax.SVG.ex = ex;
jax.SVG.em = em = ex / SVG.TeX.x_height * 1000; // scale ex to x_height
jax.SVG.cwidth = cwidth/em * 1000;
jax.SVG.lineWidth = (linebreak ? this.length2em(width,1,maxwidth/em*1000) : SVG.BIGDIMEN);
}
//
// Remove the test spans used for determining scales and linebreak widths
//
for (i = 0; i < m; i++) {
script = scripts[i]; if (!script.parentNode) continue;
test = scripts[i].previousSibling; span = test.previousSibling;
jax = scripts[i].MathJax.elementJax; if (!jax) continue;
if (!jax.SVG.isHidden) {span = span.previousSibling}
span.parentNode.removeChild(span);
test.parentNode.removeChild(test);
}
//
// Set state variables used for displaying equations in chunks
//
state.SVGeqn = state.SVGlast = 0; state.SVGi = -1;
state.SVGchunk = this.config.EqnChunk;
state.SVGdelay = false;
},
Translate: function (script,state) {
if (!script.parentNode) return;
//
// If we are supposed to do a chunk delay, do it
//
if (state.SVGdelay) {
state.SVGdelay = false;
HUB.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay));
}
//
// Get the data about the math
//
var jax = script.MathJax.elementJax, math = jax.root,
span = document.getElementById(jax.inputID+"-Frame"),
div = (jax.SVG.display ? (span||{}).parentNode : span),
localCache = (SVG.config.useFontCache && !SVG.config.useGlobalCache);
if (!div) return;
//
// Set the font metrics
//
this.em = MML.mbase.prototype.em = jax.SVG.em; this.ex = jax.SVG.ex;
this.linebreakWidth = jax.SVG.lineWidth; this.cwidth = jax.SVG.cwidth;
//
// Typeset the math
//
this.mathDiv = div;
span.appendChild(this.textSVG);
if (localCache) {SVG.resetGlyphs()}
this.initSVG(math,span);
math.setTeXclass();
try {math.toSVG(span,div)} catch (err) {
if (err.restart) {while (span.firstChild) {span.removeChild(span.firstChild)}}
if (localCache) {BBOX.GLYPH.n--}
throw err;
}
span.removeChild(this.textSVG);
//
// Put it in place, and remove the processing marker
//
if (jax.SVG.isHidden) {script.parentNode.insertBefore(div,script)}
div.className = div.className.split(/ /)[0];
//
// Check if we are hiding the math until more is processed
//
if (this.hideProcessedMath) {
//
// Hide the math and don't let its preview be removed
//
div.className += " MathJax_SVG_Processed";
if (script.MathJax.preview) {
jax.SVG.preview = script.MathJax.preview;
delete script.MathJax.preview;
}
//
// Check if we should show this chunk of equations
//
state.SVGeqn += (state.i - state.SVGi); state.SVGi = state.i;
if (state.SVGeqn >= state.SVGlast + state.SVGchunk) {
this.postTranslate(state,true);
state.SVGchunk = Math.floor(state.SVGchunk*this.config.EqnChunkFactor);
state.SVGdelay = true; // delay if there are more scripts
}
}
},
postTranslate: function (state,partial) {
var scripts = state.jax[this.id];
if (!this.hideProcessedMath) return;
//
// Reveal this chunk of math
//
for (var i = state.SVGlast, m = state.SVGeqn; i < m; i++) {
var script = scripts[i];
if (script && script.MathJax.elementJax) {
//
// Remove the processed marker
//
script.previousSibling.className = script.previousSibling.className.split(/ /)[0];
var data = script.MathJax.elementJax.SVG;
//
// Remove the preview, if any
//
if (data.preview) {
data.preview.innerHTML = "";
script.MathJax.preview = data.preview;
delete data.preview;
}
}
}
//
// Save our place so we know what is revealed
//
state.SVGlast = state.SVGeqn;
},
resetGlyphs: function (reset) {
if (this.config.useFontCache) {
var GLYPH = BBOX.GLYPH;
if (this.config.useGlobalCache) {
GLYPH.defs = document.getElementById("MathJax_SVG_glyphs");
GLYPH.defs.innerHTML = "";
} else {
GLYPH.defs = this.Element("defs");
GLYPH.n++;
}
GLYPH.glyphs = {};
if (reset) {GLYPH.n = 0}
}
},
//
// Return the containing HTML element rather than the SVG element, since
// most browsers can't position to an SVG element properly.
//
hashCheck: function (target) {
if (target && target.nodeName.toLowerCase() === "g")
{do {target = target.parentNode} while (target && target.firstChild.nodeName !== "svg")}
return target;
},
getJaxFromMath: function (math) {
if (math.parentNode.className === "MathJax_SVG_Display") {math = math.parentNode}
do {math = math.nextSibling} while (math && math.nodeName.toLowerCase() !== "script");
return HUB.getJaxFor(math);
},
getHoverSpan: function (jax,math) {
math.style.position = "relative"; // make sure inline containers have position set
return math.firstChild;
},
getHoverBBox: function (jax,span,math) {
var bbox = EVENT.getBBox(span.parentNode);
bbox.h += 2; bbox.d -= 2; // bbox seems to be a bit off, so compensate (FIXME)
return bbox;
},
Zoom: function (jax,span,math,Mw,Mh) {
//
// Re-render at larger size
//
span.className = "MathJax_SVG";
//
// get em size (taken from this.preTranslate)
//
var emex = span.appendChild(this.ExSpan.cloneNode(true));
var ex = emex.firstChild.offsetHeight/60;
this.em = MML.mbase.prototype.em = ex / SVG.TeX.x_height * 1000; this.ex = ex;
this.linebreakWidth = jax.SVG.lineWidth; this.cwidth = jax.SVG.cwidth;
emex.parentNode.removeChild(emex);
span.appendChild(this.textSVG);
this.mathDIV = span; this.zoomScale = parseInt(HUB.config.menuSettings.zscale) / 100;
var tw = jax.root.data[0].SVGdata.tw; if (tw && tw < this.cwidth) this.cwidth = tw;
this.idPostfix = "-zoom"; jax.root.toSVG(span,span); this.idPostfix = "";
this.zoomScale = 1;
span.removeChild(this.textSVG);
//
// Don't allow overlaps on any edge
//
var svg = span.getElementsByTagName("svg")[0].style;
svg.marginTop = svg.marginRight = svg.marginLeft = 0;
if (svg.marginBottom.charAt(0) === "-")
span.style.marginBottom = svg.marginBottom.substr(1);
if (this.operaZoomRefresh)
{setTimeout(function () {span.firstChild.style.border="1px solid transparent"},1)}
//
// WebKit bug (issue #749)
//
if (span.offsetWidth < span.firstChild.offsetWidth) {
span.style.minWidth = span.firstChild.offsetWidth + "px";
math.style.minWidth = math.firstChild.offsetWidth + "px";
}
//
// Get height and width of zoomed math and original math
//
span.style.position = math.style.position = "absolute";
var zW = span.offsetWidth, zH = span.offsetHeight,
mH = math.offsetHeight, mW = math.offsetWidth;
span.style.position = math.style.position = "";
//
return {Y:-EVENT.getBBox(span).h, mW:mW, mH:mH, zW:zW, zH:zH};
},
initSVG: function (math,span) {},
Remove: function (jax) {
var span = document.getElementById(jax.inputID+"-Frame");
if (span) {
if (jax.SVG.display) {span = span.parentNode}
span.parentNode.removeChild(span);
}
delete jax.SVG;
},
Em: function (m) {
if (Math.abs(m) < .0006) return "0";
return m.toFixed(3).replace(/\.?0+$/,"") + "em";
},
Ex: function (m) {
m = m / this.TeX.x_height;
if (Math.abs(m) < .0006) return "0";
return m.toFixed(3).replace(/\.?0+$/,"") + "ex";
},
Percent: function (m) {
return (100*m).toFixed(1).replace(/\.?0+$/,"") + "%";
},
Fixed: function (m,n) {
if (Math.abs(m) < .0006) return "0";
return m.toFixed(n||3).replace(/\.?0+$/,"");
},
length2em: function (length,mu,size) {
if (typeof(length) !== "string") {length = length.toString()}
if (length === "") {return ""}
if (length === MML.SIZE.NORMAL) {return 1000}
if (length === MML.SIZE.BIG) {return 2000}
if (length === MML.SIZE.SMALL) {return 710}
if (length === "infinity") {return SVG.BIGDIMEN}
if (length.match(/mathspace$/)) {return 1000*SVG.MATHSPACE[length]}
var emFactor = (this.zoomScale || 1) / SVG.em;
var match = length.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);
var m = parseFloat(match[1]||"1") * 1000, unit = match[2];
if (size == null) {size = 1000}; if (mu == null) {mu = 1}
if (unit === "em") {return m}
if (unit === "ex") {return m * SVG.TeX.x_height/1000}
if (unit === "%") {return m / 100 * size / 1000}
if (unit === "px") {return m * emFactor}
if (unit === "pt") {return m / 10} // 10 pt to an em
if (unit === "pc") {return m * 1.2} // 12 pt to a pc
if (unit === "in") {return m * this.pxPerInch * emFactor}
if (unit === "cm") {return m * this.pxPerInch * emFactor / 2.54} // 2.54 cm to an inch
if (unit === "mm") {return m * this.pxPerInch * emFactor / 25.4} // 10 mm to a cm
if (unit === "mu") {return m / 18 * mu}
return m*size / 1000; // relative to given size (or 1em as default)
},
thickness2em: function (length,mu) {
var thick = SVG.TeX.rule_thickness;
if (length === MML.LINETHICKNESS.MEDIUM) {return thick}
if (length === MML.LINETHICKNESS.THIN) {return .67*thick}
if (length === MML.LINETHICKNESS.THICK) {return 1.67*thick}
return this.length2em(length,mu,thick);
},
getPadding: function (styles) {
var padding = {top:0, right:0, bottom:0, left:0}, has = false;
for (var id in padding) {if (padding.hasOwnProperty(id)) {
var pad = styles["padding"+id.charAt(0).toUpperCase()+id.substr(1)];
if (pad) {padding[id] = this.length2em(pad); has = true;}
}}
return (has ? padding : false);
},
getBorders: function (styles) {
var border = {top:0, right:0, bottom:0, left:0}, has = false;
for (var id in border) {if (border.hasOwnProperty(id)) {
var ID = "border"+id.charAt(0).toUpperCase()+id.substr(1);
var style = styles[ID+"Style"];
if (style && style !== "none") {
has = true;
border[id] = this.length2em(styles[ID+"Width"]);
border[id+"Style"] = styles[ID+"Style"];
border[id+"Color"] = styles[ID+"Color"];
if (border[id+"Color"] === "initial") {border[id+"Color"] = ""}
} else {delete border[id]}
}}
return (has ? border : false);
},
Element: function (type,def) {
var obj = (typeof(type) === "string" ? document.createElementNS(SVGNS,type) : type);
obj.isMathJax = true;
if (def) {for (var id in def) {if (def.hasOwnProperty(id)) {obj.setAttribute(id,def[id].toString())}}}
return obj;
},
addElement: function (parent,type,def) {return parent.appendChild(this.Element(type,def))},
TextNode: HTML.TextNode,
addText: HTML.addText,
ucMatch: HTML.ucMatch,
HandleVariant: function (variant,scale,text) {
var svg = BBOX.G();
var n, N, c, font, VARIANT, i, m, id, M, RANGES;
if (!variant) {variant = this.FONTDATA.VARIANT[MML.VARIANT.NORMAL]}
if (variant.forceFamily) {
text = BBOX.TEXT(scale,text,variant.font);
if (variant.h != null) {text.h = variant.h}; if (variant.d != null) {text.d = variant.d}
svg.Add(text); text = "";
}
VARIANT = variant;
for (i = 0, m = text.length; i < m; i++) {
variant = VARIANT;
n = text.charCodeAt(i); c = text.charAt(i);
if (n >= 0xD800 && n < 0xDBFF) {
i++; n = (((n-0xD800)<<10)+(text.charCodeAt(i)-0xDC00))+0x10000;
if (this.FONTDATA.RemapPlane1) {
var nv = this.FONTDATA.RemapPlane1(n,variant);
n = nv.n; variant = nv.variant;
}
} else {
RANGES = this.FONTDATA.RANGES;
for (id = 0, M = RANGES.length; id < M; id++) {
if (RANGES[id].name === "alpha" && variant.noLowerCase) continue;
N = variant["offset"+RANGES[id].offset];
if (N && n >= RANGES[id].low && n <= RANGES[id].high) {
if (RANGES[id].remap && RANGES[id].remap[n]) {
n = N + RANGES[id].remap[n];
} else {
n = n - RANGES[id].low + N;
if (RANGES[id].add) {n += RANGES[id].add}
}
if (variant["variant"+RANGES[id].offset])
{variant = this.FONTDATA.VARIANT[variant["variant"+RANGES[id].offset]]}
break;
}
}
}
if (variant.remap && variant.remap[n]) {
n = variant.remap[n];
if (variant.remap.variant) {variant = this.FONTDATA.VARIANT[variant.remap.variant]}
} else if (this.FONTDATA.REMAP[n] && !variant.noRemap) {
n = this.FONTDATA.REMAP[n];
}
if (n instanceof Array) {variant = this.FONTDATA.VARIANT[n[1]]; n = n[0]}
if (typeof(n) === "string") {
text = n+text.substr(i+1);
m = text.length; i = -1;
continue;
}
font = this.lookupChar(variant,n); c = font[n];
if (c) {
if ((c[5] && c[5].space) || (c[5] === "" && c[0]+c[1] === 0)) {svg.w += c[2]} else {
c = [scale,font.id+"-"+n.toString(16).toUpperCase()].concat(c);
svg.Add(BBOX.GLYPH.apply(BBOX,c),svg.w,0);
}
} else if (this.FONTDATA.DELIMITERS[n]) {
c = this.createDelimiter(n,0,1,font);
svg.Add(c,svg.w,(this.FONTDATA.DELIMITERS[n].dir === "V" ? c.d: 0));
} else {
if (n <= 0xFFFF) {c = String.fromCharCode(n)} else {
N = n - 0x10000;
c = String.fromCharCode((N>>10)+0xD800)
+ String.fromCharCode((N&0x3FF)+0xDC00);
}
var box = BBOX.TEXT(scale*100/SVG.config.scale,c,{
"font-family":variant.defaultFamily||SVG.config.undefinedFamily,
"font-style":(variant.italic?"italic":""),
"font-weight":(variant.bold?"bold":"")
})
if (variant.h != null) {box.h = variant.h}; if (variant.d != null) {box.d = variant.d}
c = BBOX.G(); c.Add(box); svg.Add(c,svg.w,0);
HUB.signal.Post(["SVG Jax - unknown char",n,variant]);
}
}
if (text.length == 1 && font.skew && font.skew[n]) {svg.skew = font.skew[n]*1000}
if (svg.element.childNodes.length === 1 && !svg.element.firstChild.getAttribute("x")) {
svg.element = svg.element.firstChild;
svg.removeable = false; svg.scale = scale;
}
return svg;
},
lookupChar: function (variant,n) {
var i, m;
if (!variant.FONTS) {
var FONTS = this.FONTDATA.FONTS;
var fonts = (variant.fonts || this.FONTDATA.VARIANT.normal.fonts);
if (!(fonts instanceof Array)) {fonts = [fonts]}
if (variant.fonts != fonts) {variant.fonts = fonts}
variant.FONTS = [];
for (i = 0, m = fonts.length; i < m; i++) {
if (FONTS[fonts[i]]) {variant.FONTS.push(FONTS[fonts[i]])}
}
}
for (i = 0, m = variant.FONTS.length; i < m; i++) {
var font = variant.FONTS[i];
if (typeof(font) === "string") {delete variant.FONTS; this.loadFont(font)}
if (font[n]) {return font} else {this.findBlock(font,n)}
}
return {id:"unknown"};
},
findBlock: function (font,c) {
if (font.Ranges) {
// FIXME: do binary search?
for (var i = 0, m = font.Ranges.length; i < m; i++) {
if (c < font.Ranges[i][0]) return;
if (c <= font.Ranges[i][1]) {
var file = font.Ranges[i][2];
for (var j = font.Ranges.length-1; j >= 0; j--)
{if (font.Ranges[j][2] == file) {font.Ranges.splice(j,1)}}
this.loadFont(font.directory+"/"+file+".js");
}
}
}
},
loadFont: function (file) {
HUB.RestartAfter(AJAX.Require(this.fontDir+"/"+file));
},
createDelimiter: function (code,HW,scale,font) {
if (!scale) {scale = 1};
var svg = BBOX.G();
if (!code) {
svg.Clean(); delete svg.element;
svg.w = svg.r = this.TeX.nulldelimiterspace * scale;
return svg;
}
if (!(HW instanceof Array)) {HW = [HW,HW]}
var hw = HW[1]; HW = HW[0];
var delim = {alias: code};
while (delim.alias) {
code = delim.alias; delim = this.FONTDATA.DELIMITERS[code];
if (!delim) {delim = {HW: [0,this.FONTDATA.VARIANT[MML.VARIANT.NORMAL]]}}
}
if (delim.load) {HUB.RestartAfter(AJAX.Require(this.fontDir+"/fontdata-"+delim.load+".js"))}
for (var i = 0, m = delim.HW.length; i < m; i++) {
if (delim.HW[i][0]*scale >= HW-10-SVG.config.blacker || (i == m-1 && !delim.stretch)) {
if (delim.HW[i][2]) {scale *= delim.HW[i][2]}
if (delim.HW[i][3]) {code = delim.HW[i][3]}
return this.createChar(scale,[code,delim.HW[i][1]],font).With({stretched: true});
}
}
if (delim.stretch) {this["extendDelimiter"+delim.dir](svg,hw,delim.stretch,scale,font)}
return svg;
},
createChar: function (scale,data,font) {
var text = "", variant = {fonts: [data[1]], noRemap:true};
if (font && font === MML.VARIANT.BOLD) {variant.fonts = [data[1]+"-bold",data[1]]}
if (typeof(data[1]) !== "string") {variant = data[1]}
if (data[0] instanceof Array) {
for (var i = 0, m = data[0].length; i < m; i++) {text += String.fromCharCode(data[0][i])}
} else {text = String.fromCharCode(data[0])}
if (data[4]) {scale = scale*data[4]}
var svg = this.HandleVariant(variant,scale,text);
if (data[2]) {svg.x = data[2]*1000}
if (data[3]) {svg.y = data[3]*1000}
if (data[5]) {svg.h += data[5]*1000}
if (data[6]) {svg.d += data[6]*1000}
return svg;
},
extendDelimiterV: function (svg,H,delim,scale,font) {
var top = this.createChar(scale,(delim.top||delim.ext),font);
var bot = this.createChar(scale,(delim.bot||delim.ext),font);
var h = top.h + top.d + bot.h + bot.d;
var y = -top.h; svg.Add(top,0,y); y -= top.d;
if (delim.mid) {var mid = this.createChar(scale,delim.mid,font); h += mid.h + mid.d}
if (delim.min && H < h*delim.min) {H = h*delim.min}
if (H > h) {
var ext = this.createChar(scale,delim.ext,font);
var k = (delim.mid ? 2 : 1), eH = (H-h) / k, s = (eH+100) / (ext.h+ext.d);
while (k-- > 0) {
var g = SVG.Element("g",{transform:"translate("+ext.y+","+(y-s*ext.h+50+ext.y)+") scale(1,"+s+")"});
g.appendChild(ext.element.cloneNode(false)); svg.element.appendChild(g); y -= eH;
if (delim.mid && k) {svg.Add(mid,0,y-mid.h); y -= (mid.h+mid.d)}
}
} else if (delim.mid) {
y += (h - H)/2; svg.Add(mid,0,y-mid.h); y += -(mid.h + mid.d) + (h - H)/2;
} else {
y += (h - H);
}
svg.Add(bot,0,y-bot.h); svg.Clean();
svg.scale = scale;
svg.isMultiChar = true;
},
extendDelimiterH: function (svg,W,delim,scale,font) {
var left = this.createChar(scale,(delim.left||delim.rep),font);
var right = this.createChar(scale,(delim.right||delim.rep),font);
svg.Add(left,-left.l,0);
var w = (left.r - left.l) + (right.r - right.l), x = left.r - left.l;
if (delim.mid) {var mid = this.createChar(scale,delim.mid,font); w += mid.w}
if (delim.min && W < w*delim.min) {W = w*delim.min}
if (W > w) {
var rep = this.createChar(scale,delim.rep,font), fuzz = delim.fuzz || 0;
var k = (delim.mid ? 2 : 1), rW = (W-w) / k, s = (rW+fuzz) / (rep.r-rep.l);
while (k-- > 0) {
var g = SVG.Element("g",{transform:"translate("+(x-fuzz/2-s*rep.l+rep.x)+","+rep.y+") scale("+s+",1)"});
g.appendChild(rep.element.cloneNode(false)); svg.element.appendChild(g); x += rW;
if (delim.mid && k) {svg.Add(mid,x,0); x += mid.w}
}
} else if (delim.mid) {
x -= (w - W)/2; svg.Add(mid,x,0); x += mid.w - (w - W)/2;
} else {
x -= (w - W);
}
svg.Add(right,x-right.l,0); svg.Clean();
svg.scale = scale;
svg.isMultiChar = true;
},
MATHSPACE: {
veryverythinmathspace: 1/18,
verythinmathspace: 2/18,
thinmathspace: 3/18,
mediummathspace: 4/18,
thickmathspace: 5/18,
verythickmathspace: 6/18,
veryverythickmathspace: 7/18,
negativeveryverythinmathspace: -1/18,
negativeverythinmathspace: -2/18,
negativethinmathspace: -3/18,
negativemediummathspace: -4/18,
negativethickmathspace: -5/18,
negativeverythickmathspace: -6/18,
negativeveryverythickmathspace: -7/18
},
//
// Units are em/1000 so quad is 1em
//
TeX: {
x_height: 430.554,
quad: 1000,
num1: 676.508,
num2: 393.732,
num3: 443.73,
denom1: 685.951,
denom2: 344.841,
sup1: 412.892,
sup2: 362.892,
sup3: 288.888,
sub1: 150,
sub2: 247.217,
sup_drop: 386.108,
sub_drop: 50,
delim1: 2390,
delim2: 1000,
axis_height: 250,
rule_thickness: 60,
big_op_spacing1: 111.111,
big_op_spacing2: 166.666,
big_op_spacing3: 200,
big_op_spacing4: 600,
big_op_spacing5: 100,
scriptspace: 100,
nulldelimiterspace: 120,
delimiterfactor: 901,
delimitershortfall: 300,
min_rule_thickness: 1.25, // in pixels
min_root_space: 1.5 // in pixels
},
BIGDIMEN: 10000000,
NBSP: "\u00A0"
});
var BBOX = SVG.BBOX = MathJax.Object.Subclass({
type: "g", removeable: true,
Init: function (def) {
this.h = this.d = -SVG.BIGDIMEN; this.H = this.D = 0;
this.w = this.r = 0; this.l = SVG.BIGDIMEN;
this.x = this.y = 0; this.scale = 1; this.n = 0;
if (this.type) {this.element = SVG.Element(this.type,def)}
},
With: function (def) {return HUB.Insert(this,def)},
Add: function (svg,dx,dy,forcew,infront) {
if (dx) {svg.x += dx}; if (dy) {svg.y += dy};
if (svg.element) {
if (svg.removeable && svg.element.childNodes.length === 1 && svg.n === 1) {
var child = svg.element.firstChild, nodeName = child.nodeName.toLowerCase();
if (nodeName === "use" || nodeName === "rect") {
svg.element = child; svg.scale = svg.childScale;
var x = svg.childX, y = svg.childY;
svg.x += x; svg.y += y;
svg.h -= y; svg.d += y; svg.H -= y; svg.D +=y;
svg.w -= x; svg.r -= x; svg.l += x;
svg.removeable = false;
child.setAttribute("x",Math.floor(svg.x/svg.scale));
child.setAttribute("y",Math.floor(svg.y/svg.scale));
}
}
if (Math.abs(svg.x) < 1 && Math.abs(svg.y) < 1) {
svg.remove = svg.removeable;
} else {
nodeName = svg.element.nodeName.toLowerCase();
if (nodeName === "g") {
if (!svg.element.firstChild) {svg.remove = svg.removeable}
else {svg.element.setAttribute("transform","translate("+Math.floor(svg.x)+","+Math.floor(svg.y)+")")}
} else if (nodeName === "line" || nodeName === "polygon" ||
nodeName === "path" || nodeName === "a") {
var transform = svg.element.getAttribute("transform") || "";
if (transform) transform = " "+transform;
transform = "translate("+Math.floor(svg.x)+","+Math.floor(svg.y)+")"+transform;
svg.element.setAttribute("transform",transform);
} else {
svg.element.setAttribute("x",Math.floor(svg.x/svg.scale));
svg.element.setAttribute("y",Math.floor(svg.y/svg.scale));
}
}
if (svg.remove) {
this.n += svg.n;
while (svg.element.firstChild) {
if (infront && this.element.firstChild) {
this.element.insertBefore(svg.element.firstChild,this.element.firstChild);
} else {
this.element.appendChild(svg.element.firstChild);
}
}
} else {
if (infront) {this.element.insertBefore(svg.element,this.element.firstChild)}
else {this.element.appendChild(svg.element)}
}
delete svg.element;
}
if (svg.hasIndent) {this.hasIndent = svg.hasIndent}
if (svg.tw != null) {this.tw = svg.tw}
if (svg.d - svg.y > this.d) {this.d = svg.d - svg.y; if (this.d > this.D) {this.D = this.d}}
if (svg.y + svg.h > this.h) {this.h = svg.y + svg.h; if (this.h > this.H) {this.H = this.h}}
if (svg.D - svg.y > this.D) {this.D = svg.D - svg.y}
if (svg.y + svg.H > this.H) {this.H = svg.y + svg.H}
if (svg.x + svg.l < this.l) {this.l = svg.x + svg.l}
if (svg.x + svg.r > this.r) {this.r = svg.x + svg.r}
if (forcew || svg.x + svg.w + (svg.X||0) > this.w) {this.w = svg.x + svg.w + (svg.X||0)}
this.childScale = svg.scale; this.childX = svg.x; this.childY = svg.y; this.n++;
return svg;
},
Align: function (svg,align,dx,dy,shift) {
dx = ({left: dx, center: (this.w - svg.w)/2, right: this.w - svg.w - dx})[align] || 0;
var w = this.w; this.Add(svg,dx+(shift||0),dy); this.w = w;
},
Clean: function () {
if (this.h === -SVG.BIGDIMEN) {this.h = this.d = this.l = 0}
return this;
}
});
BBOX.ROW = BBOX.Subclass({
Init: function () {
this.SUPER(arguments).Init.call(this);
this.svg = []; this.sh = this.sd = 0;
},
Check: function (data) {
var svg = data.toSVG(); this.svg.push(svg);
if (data.SVGcanStretch("Vertical")) {svg.mml = data}
if (svg.h > this.sh) {this.sh = svg.h}
if (svg.d > this.sd) {this.sd = svg.d}
},
Stretch: function () {
for (var i = 0, m = this.svg.length; i < m; i++)
{
var svg = this.svg[i], mml = svg.mml;
if (mml) {
if (mml.forceStretch || mml.SVGdata.h !== this.sh || mml.SVGdata.d !== this.sd) {
svg = mml.SVGstretchV(this.sh,this.sd);
}
mml.SVGdata.HW = this.sh; mml.SVGdata.D = this.sd;
}
if (svg.ic) {this.ic = svg.ic} else {delete this.ic}
this.Add(svg,this.w,0,true);
}
delete this.svg;
}
});
BBOX.RECT = BBOX.Subclass({
type: "rect", removeable: false,
Init: function (h,d,w,def) {
if (def == null) {def = {stroke:"none"}}
def.width = Math.floor(w); def.height = Math.floor(h+d);
this.SUPER(arguments).Init.call(this,def);
this.w = this.r = w; this.h = this.H = h+d; this.d = this.D = this.l = 0; this.y = -d;
}
});
BBOX.FRAME = BBOX.Subclass({
type: "rect", removeable: false,
Init: function (h,d,w,t,dash,color,def) {
if (def == null) {def = {}}; def.fill = "none";
def["stroke-width"] = SVG.Fixed(t,2);
def.width = Math.floor(w-t); def.height = Math.floor(h+d-t);
def.transform = "translate("+Math.floor(t/2)+","+Math.floor(-d+t/2)+")";
if (dash === "dashed")
{def["stroke-dasharray"] = [Math.floor(6*SVG.em),Math.floor(6*SVG.em)].join(" ")}
this.SUPER(arguments).Init.call(this,def);
this.w = this.r = w; this.h = this.H = h;
this.d = this.D = d; this.l = 0;
}
});
BBOX.HLINE = BBOX.Subclass({
type: "line", removeable: false,
Init: function (w,t,dash,color,def) {
if (def == null) {def = {"stroke-linecap":"square"}}
if (color && color !== "") {def.stroke = color}
def["stroke-width"] = SVG.Fixed(t,2);
def.x1 = def.y1 = def.y2 = Math.floor(t/2); def.x2 = Math.floor(w-t/2);
if (dash === "dashed") {
var n = Math.floor(Math.max(0,w-t)/(6*t)), m = Math.floor(Math.max(0,w-t)/(2*n+1));
def["stroke-dasharray"] = m+" "+m;
}
if (dash === "dotted") {
def["stroke-dasharray"] = [1,Math.max(150,Math.floor(2*t))].join(" ");
def["stroke-linecap"] = "round";
}
this.SUPER(arguments).Init.call(this,def);
this.w = this.r = w; this.l = 0; this.h = this.H = t; this.d = this.D = 0;
}
});
BBOX.VLINE = BBOX.Subclass({
type: "line", removeable: false,
Init: function (h,t,dash,color,def) {
if (def == null) {def = {"stroke-linecap":"square"}}
if (color && color !== "") {def.stroke = color}
def["stroke-width"] = SVG.Fixed(t,2);
def.x1 = def.x2 = def.y1 = Math.floor(t/2); def.y2 = Math.floor(h-t/2);
if (dash === "dashed") {
var n = Math.floor(Math.max(0,h-t)/(6*t)), m = Math.floor(Math.max(0,h-t)/(2*n+1));
def["stroke-dasharray"] = m+" "+m;
}
if (dash === "dotted") {
def["stroke-dasharray"] = [1,Math.max(150,Math.floor(2*t))].join(" ");
def["stroke-linecap"] = "round";
}
this.SUPER(arguments).Init.call(this,def);
this.w = this.r = t; this.l = 0; this.h = this.H = h; this.d = this.D = 0;
}
});
BBOX.TEXT = BBOX.Subclass({
type: "text", removeable: false,
Init: function (scale,text,def) {
if (!def) {def = {}}; def.stroke = "none";
if (def["font-style"] === "") delete def["font-style"];
if (def["font-weight"] === "") delete def["font-weight"];
this.SUPER(arguments).Init.call(this,def);
SVG.addText(this.element,text);
SVG.textSVG.appendChild(this.element);
var bbox = this.element.getBBox();
SVG.textSVG.removeChild(this.element);
scale *= 1000/SVG.em;
this.element.setAttribute("transform","scale("+SVG.Fixed(scale)+") matrix(1 0 0 -1 0 0)");
this.w = this.r = bbox.width*scale; this.l = 0;
this.h = this.H = -bbox.y*scale;
this.d = this.D = (bbox.height + bbox.y)*scale;
}
});
BBOX.G = BBOX;
BBOX.NULL = BBOX.Subclass({
Init: function () {
this.SUPER(arguments).Init.apply(this,arguments);
this.Clean();
}
});
BBOX.GLYPH = BBOX.Subclass({
type: "path", removeable: false,
Init: function (scale,id,h,d,w,l,r,p) {
var def, t = SVG.config.blacker, GLYPH = BBOX.GLYPH;
var cache = SVG.config.useFontCache;
var transform = (scale === 1 ? null : "scale("+SVG.Fixed(scale)+")");
if (cache && !SVG.config.useGlobalCache) {id = "E"+GLYPH.n+"-"+id}
if (!cache || !GLYPH.glyphs[id]) {
def = {"stroke-width":t};
if (cache) {def.id = id} else if (transform) {def.transform = transform}
def.d = (p ? "M"+p+"Z" : "");
this.SUPER(arguments).Init.call(this,def);
if (cache) {GLYPH.defs.appendChild(this.element); GLYPH.glyphs[id] = true;}
}
if (cache) {
def = {}; if (transform) {def.transform = transform}
this.element = SVG.Element("use",def);
this.element.setAttributeNS(XLINKNS,"href","#"+id);
}
this.h = (h+t) * scale; this.d = (d+t) * scale; this.w = (w+t/2) *scale;
this.l = (l+t/2) * scale; this.r = (r+t/2) * scale;
this.H = Math.max(0,this.h); this.D = Math.max(0,this.d);
this.x = this.y = 0; this.scale = scale;
}
},{
glyphs: {}, // which glpyhs have been used
defs: null, // the SVG <defs> element where glyphs are stored
n: 0 // the ID for local <defs> for self-contained SVG elements
});
HUB.Register.StartupHook("mml Jax Ready",function () {
MML = MathJax.ElementJax.mml;
MML.mbase.Augment({
SVG: BBOX,
toSVG: function () {
this.SVGgetStyles();
var variant = this.SVGgetVariant();
var svg = this.SVG(); this.SVGgetScale(svg);
this.SVGhandleSpace(svg);
for (var i = 0, m = this.data.length; i < m; i++) {
if (this.data[i]) {
var child = svg.Add(this.data[i].toSVG(variant,svg.scale),svg.w,0,true);
if (child.skew) {svg.skew = child.skew}
}
}
svg.Clean(); var text = this.data.join("");
if (svg.skew && text.length !== 1) {delete svg.skew}
if (svg.r > svg.w && text.length === 1 && !variant.noIC)
{svg.ic = svg.r - svg.w; svg.w = svg.r}
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
return svg;
},
SVGchildSVG: function (i) {
return (this.data[i] ? this.data[i].toSVG() : BBOX());
},
SVGdataStretched: function (i,HW,D) {
this.SVGdata = {HW:HW, D:D};
if (!this.data[i]) {return BBOX()}
if (D != null) {return this.data[i].SVGstretchV(HW,D)}
if (HW != null) {return this.data[i].SVGstretchH(HW)}
return this.data[i].toSVG();
},
SVGsaveData: function (svg) {
if (!this.SVGdata) {this.SVGdata = {}}
this.SVGdata.w = svg.w, this.SVGdata.x = svg.x;
this.SVGdata.h = svg.h, this.SVGdata.d = svg.d;
if (svg.y) {this.SVGdata.h += svg.y; this.SVGdata.d -= svg.y}
if (svg.X != null) {this.SVGdata.X = svg.X}
if (svg.tw != null) {this.SVGdata.tw = svg.tw}
if (svg.skew) {this.SVGdata.skew = svg.skew}
if (svg.ic) {this.SVGdata.ic = svg.ic}
if (this["class"]) {svg.removeable = false; SVG.Element(svg.element,{"class":this["class"]})}
// FIXME: if an element is split by linebreaking, the ID will be the same on both parts
// FIXME: if an element has an id, its zoomed copy will have the same ID
if (this.id) {svg.removeable = false; SVG.Element(svg.element,{"id":this.id})}
if (this.href) {
var a = SVG.Element("a",{"class":"mjx-svg-href"});
a.setAttributeNS(XLINKNS,"href",this.href);
a.onclick = this.SVGlink;
SVG.addElement(a,"rect",{width:svg.w, height:svg.h+svg.d, y:-svg.d,
fill:"none", stroke:"none", "pointer-events":"all"});
if (svg.type === "svg") {
// for svg element, put <a> inside the main <g> element
var g = svg.element.firstChild;
while (g.firstChild) {a.appendChild(g.firstChild)}
g.appendChild(a);
} else {
a.appendChild(svg.element); svg.element = a;
}
svg.removeable = false;
}
if (SVG.config.addMMLclasses) {
this.SVGaddClass(svg.element,"mjx-svg-"+this.type);
svg.removeable = false;
}
var style = this.style;
if (style && svg.element) {
svg.element.style.cssText = style;
if (svg.element.style.fontSize) {svg.element.style.fontSize = ""} // handled by scale
svg.element.style.border = svg.element.style.padding = "";
if (svg.removeable) {svg.removeable = (svg.element.style.cssText === "")}
}
this.SVGaddAttributes(svg);
},
SVGaddClass: function (node,name) {
var classes = node.getAttribute("class");
node.setAttribute("class",(classes ? classes+" " : "")+name);
},
SVGaddAttributes: function (svg) {
//
// Copy RDFa, aria, and other tags from the MathML to the HTML-CSS
// output spans Don't copy those in the MML.nocopyAttributes list,
// the ignoreMMLattributes configuration list, or anything tha
// already exists as a property of the span (e.g., no "onlick", etc.)
// If a name in the ignoreMMLattributes object is set to false, then
// the attribute WILL be copied.
//
if (this.attrNames) {
var copy = this.attrNames, skip = MML.nocopyAttributes, ignore = HUB.config.ignoreMMLattributes;
var defaults = (this.type === "mstyle" ? MML.math.prototype.defaults : this.defaults);
for (var i = 0, m = copy.length; i < m; i++) {
var id = copy[i];
if (ignore[id] == false || (!skip[id] && !ignore[id] &&
defaults[id] == null && typeof(svg.element[id]) === "undefined")) {
svg.element.setAttribute(id,this.attr[id]);
svg.removeable = false;
}
}
}
},
//
// WebKit currently scrolls to the BOTTOM of an svg element if it contains the
// target of the link, so implement link by hand, to the containing span element.
//
SVGlink: function () {
var href = this.href.animVal;
if (href.charAt(0) === "#") {
var target = SVG.hashCheck(document.getElementById(href.substr(1)));
if (target && target.scrollIntoView)
{setTimeout(function () {target.parentNode.scrollIntoView(true)},1)}
}
document.location = href;
},
SVGgetStyles: function () {
if (this.style) {
var span = HTML.Element("span");
span.style.cssText = this.style;
this.styles = this.SVGprocessStyles(span.style);
}
},
SVGprocessStyles: function (style) {
var styles = {border:SVG.getBorders(style), padding:SVG.getPadding(style)};
if (!styles.border) {delete styles.border}
if (!styles.padding) {delete styles.padding}
if (style.fontSize) {styles.fontSize = style.fontSize}
if (style.color) {styles.color = style.color}
if (style.backgroundColor) {styles.background = style.backgroundColor}
if (style.fontStyle) {styles.fontStyle = style.fontStyle}
if (style.fontWeight) {styles.fontWeight = style.fontWeight}
if (style.fontFamily) {styles.fontFamily = style.fontFamily}
if (styles.fontWeight && styles.fontWeight.match(/^\d+$/))
{styles.fontWeight = (parseInt(styles.fontWeight) > 600 ? "bold" : "normal")}
return styles;
},
SVGhandleSpace: function (svg) {
if (this.useMMLspacing) {
if (this.type !== "mo") return;
var values = this.getValues("scriptlevel","lspace","rspace");
if (values.scriptlevel <= 0 || this.hasValue("lspace") || this.hasValue("rspace")) {
var mu = this.SVGgetMu(svg);
values.lspace = Math.max(0,SVG.length2em(values.lspace,mu));
values.rspace = Math.max(0,SVG.length2em(values.rspace,mu));
var core = this, parent = this.Parent();
while (parent && parent.isEmbellished() && parent.Core() === core)
{core = parent; parent = parent.Parent()}
if (values.lspace) {svg.x += values.lspace}
if (values.rspace) {svg.X = values.rspace}
}
} else {
var space = this.texSpacing();
this.SVGgetScale();
if (space !== "") {svg.x += SVG.length2em(space,this.scale)*this.mscale}
}
},
SVGhandleColor: function (svg) {
var values = this.getValues("mathcolor","color");
if (this.styles && this.styles.color && !values.color) {values.color = this.styles.color}
if (values.color && !this.mathcolor) {values.mathcolor = values.color}
if (values.mathcolor) {
SVG.Element(svg.element,{fill:values.mathcolor,stroke:values.mathcolor})
svg.removeable = false;
}
var borders = (this.styles||{}).border, padding = (this.styles||{}).padding,
bleft = ((borders||{}).left||0), pleft = ((padding||{}).left||0), id;
values.background = (this.mathbackground || this.background ||
(this.styles||{}).background || MML.COLOR.TRANSPARENT);
if (bleft + pleft) {
//
// Make a box and move the contents of svg to it,
// then add it back into svg, but offset by the left amount
//
var dup = BBOX(); for (id in svg) {if (svg.hasOwnProperty(id)) {dup[id] = svg[id]}}
dup.x = 0; dup.y = 0;
svg.element = SVG.Element("g"); svg.removeable = true;
svg.Add(dup,bleft+pleft,0);
}
//
// Adjust size by padding and dashed borders (left is taken care of above)
//
if (padding) {svg.w += padding.right||0; svg.h += padding.top||0; svg.d += padding.bottom||0}
if (borders) {svg.w += borders.right||0; svg.h += borders.top||0; svg.d += borders.bottom||0}
//
// Add background color
//
if (values.background !== MML.COLOR.TRANSPARENT) {
var nodeName = svg.element.nodeName.toLowerCase();
if (nodeName !== "g" && nodeName !== "svg") {
var g = SVG.Element("g"); g.appendChild(svg.element);
svg.element = g; svg.removeable = true;
}
svg.Add(BBOX.RECT(svg.h,svg.d,svg.w,{fill:values.background,stroke:"none"}),0,0,false,true)
}
//
// Add borders
//
if (borders) {
var dd = 5; // fuzz factor to avoid anti-alias problems at edges
var sides = {
left: ["V",svg.h+svg.d,-dd,-svg.d],
right: ["V",svg.h+svg.d,svg.w-borders.right+dd,-svg.d],
top: ["H",svg.w,0,svg.h-borders.top+dd],
bottom:["H",svg.w,0,-svg.d-dd]
}
for (id in sides) {if (sides.hasOwnProperty(id)) {
if (borders[id]) {
var side = sides[id], box = BBOX[side[0]+"LINE"];
svg.Add(box(side[1],borders[id],borders[id+"Style"],borders[id+"Color"]),side[2],side[3]);
}
}}
}
},
SVGhandleVariant: function (variant,scale,text) {
return SVG.HandleVariant(variant,scale,text);
},
SVGgetVariant: function () {
var values = this.getValues("mathvariant","fontfamily","fontweight","fontstyle");
var variant = values.mathvariant;
if (this.variantForm) variant = "-"+SVG.fontInUse+"-variant";
values.hasVariant = this.Get("mathvariant",true); // null if not explicitly specified
if (!values.hasVariant) {
values.family = values.fontfamily;
values.weight = values.fontweight;
values.style = values.fontstyle;
}
if (this.styles) {
if (!values.style && this.styles.fontStyle) {values.style = this.styles.fontStyle}
if (!values.weight && this.styles.fontWeight) {values.weight = this.styles.fontWeight}
if (!values.family && this.styles.fontFamily) {values.family = this.styles.fontFamily}
}
if (values.family && !values.hasVariant) {
if (!values.weight && values.mathvariant.match(/bold/)) {values.weight = "bold"}
if (!values.style && values.mathvariant.match(/italic/)) {values.style = "italic"}
variant = {forceFamily: true, font: {"font-family":values.family}};
if (values.style) {variant.font["font-style"] = values.style}
if (values.weight) {variant.font["font-weight"] = values.weight}
return variant;
}
if (values.weight === "bold") {
variant = {
normal:MML.VARIANT.BOLD, italic:MML.VARIANT.BOLDITALIC,
fraktur:MML.VARIANT.BOLDFRAKTUR, script:MML.VARIANT.BOLDSCRIPT,
"sans-serif":MML.VARIANT.BOLDSANSSERIF,
"sans-serif-italic":MML.VARIANT.SANSSERIFBOLDITALIC
}[variant]||variant;
} else if (values.weight === "normal") {
variant = {
bold:MML.VARIANT.normal, "bold-italic":MML.VARIANT.ITALIC,
"bold-fraktur":MML.VARIANT.FRAKTUR, "bold-script":MML.VARIANT.SCRIPT,
"bold-sans-serif":MML.VARIANT.SANSSERIF,
"sans-serif-bold-italic":MML.VARIANT.SANSSERIFITALIC
}[variant]||variant;
}
if (values.style === "italic") {
variant = {
normal:MML.VARIANT.ITALIC, bold:MML.VARIANT.BOLDITALIC,
"sans-serif":MML.VARIANT.SANSSERIFITALIC,
"bold-sans-serif":MML.VARIANT.SANSSERIFBOLDITALIC
}[variant]||variant;
} else if (values.style === "normal") {
variant = {
italic:MML.VARIANT.NORMAL, "bold-italic":MML.VARIANT.BOLD,
"sans-serif-italic":MML.VARIANT.SANSSERIF,
"sans-serif-bold-italic":MML.VARIANT.BOLDSANSSERIF
}[variant]||variant;
}
if (!(variant in SVG.FONTDATA.VARIANT)) {
// If the mathvariant value is invalid or not supported by this
// font, fallback to normal. See issue 363.
variant = "normal";
}
return SVG.FONTDATA.VARIANT[variant];
},
SVGgetScale: function (svg) {
var scale = 1;
if (this.mscale) {
scale = this.scale;
} else {
var values = this.getValues("scriptlevel","fontsize");
values.mathsize = (this.isToken ? this : this.Parent()).Get("mathsize");
if ((this.styles||{}).fontSize && !values.fontsize) {values.fontsize = this.styles.fontSize}
if (values.fontsize && !this.mathsize) {values.mathsize = values.fontsize}
if (values.scriptlevel !== 0) {
if (values.scriptlevel > 2) {values.scriptlevel = 2}
scale = Math.pow(this.Get("scriptsizemultiplier"),values.scriptlevel);
values.scriptminsize = SVG.length2em(this.Get("scriptminsize"))/1000;
if (scale < values.scriptminsize) {scale = values.scriptminsize}
}
this.scale = scale; this.mscale = SVG.length2em(values.mathsize)/1000;
}
if (svg) {svg.scale = scale; if (this.isToken) {svg.scale *= this.mscale}}
return scale * this.mscale;
},
SVGgetMu: function (svg) {
var mu = 1, values = this.getValues("scriptlevel","scriptsizemultiplier");
if (svg.scale && svg.scale !== 1) {mu = 1/svg.scale}
if (values.scriptlevel !== 0) {
if (values.scriptlevel > 2) {values.scriptlevel = 2}
mu = Math.sqrt(Math.pow(values.scriptsizemultiplier,values.scriptlevel));
}
return mu;
},
SVGnotEmpty: function (data) {
while (data) {
if ((data.type !== "mrow" && data.type !== "texatom") ||
data.data.length > 1) {return true}
data = data.data[0];
}
return false;
},
SVGcanStretch: function (direction) {
var can = false;
if (this.isEmbellished()) {
var core = this.Core();
if (core && core !== this) {
can = core.SVGcanStretch(direction);
if (can && core.forceStretch) {this.forceStretch = true}
}
}
return can;
},
SVGstretchV: function (h,d) {return this.toSVG(h,d)},
SVGstretchH: function (w) {return this.toSVG(w)},
SVGlineBreaks: function () {return false}
},{
SVGemptySVG: function () {
var svg = this.SVG();
svg.Clean();
this.SVGsaveData(svg);
return svg;
},
SVGautoload: function () {
var file = SVG.autoloadDir+"/"+this.type+".js";
HUB.RestartAfter(AJAX.Require(file));
},
SVGautoloadFile: function (name) {
var file = SVG.autoloadDir+"/"+name+".js";
HUB.RestartAfter(AJAX.Require(file));
}
});
MML.chars.Augment({
toSVG: function (variant,scale,remap,chars) {
var text = this.data.join("").replace(/[\u2061-\u2064]/g,""); // remove invisibles
if (remap) {text = remap(text,chars)}
return this.SVGhandleVariant(variant,scale,text);
}
});
MML.entity.Augment({
toSVG: function (variant,scale,remap,chars) {
var text = this.toString().replace(/[\u2061-\u2064]/g,""); // remove invisibles
if (remap) {text = remap(text,chars)}
return this.SVGhandleVariant(variant,scale,text);
}
});
MML.mo.Augment({
toSVG: function (HW,D) {
this.SVGgetStyles();
var svg = this.svg = this.SVG();
var scale = this.SVGgetScale(svg);
this.SVGhandleSpace(svg);
if (this.data.length == 0) {svg.Clean(); this.SVGsaveData(svg); return svg}
//
// Stretch the operator, if that is requested
//
if (D != null) {return this.SVGstretchV(HW,D)}
else if (HW != null) {return this.SVG.strechH(HW)}
//
// Get the variant, and check for operator size
//
var variant = this.SVGgetVariant();
var values = this.getValues("largeop","displaystyle");
if (values.largeop)
{variant = SVG.FONTDATA.VARIANT[values.displaystyle ? "-largeOp" : "-smallOp"]}
//
// Get character translation for superscript and accents
//
var parent = this.CoreParent(),
isScript = (parent && parent.isa(MML.msubsup) && this !== parent.data[0]),
mapchars = (isScript?this.remapChars:null);
if (this.data.join("").length === 1 && parent && parent.isa(MML.munderover) &&
this.CoreText(parent.data[parent.base]).length === 1) {
var over = parent.data[parent.over], under = parent.data[parent.under];
if (over && this === over.CoreMO() && parent.Get("accent")) {mapchars = SVG.FONTDATA.REMAPACCENT}
else if (under && this === under.CoreMO() && parent.Get("accentunder")) {mapchars = SVG.FONTDATA.REMAPACCENTUNDER}
}
//
// Primes must come from another font
//
if (isScript && this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/))
{variant = SVG.FONTDATA.VARIANT["-"+SVG.fontInUse+"-variant"]}
//
// Typeset contents
//
for (var i = 0, m = this.data.length; i < m; i++) {
if (this.data[i]) {
var text = this.data[i].toSVG(variant,scale,this.remap,mapchars), x = svg.w;
if (x === 0 && -text.l > 10*text.w) {x += -text.l} // initial combining character doesn't combine
svg.Add(text,x,0,true);
if (text.skew) {svg.skew = text.skew}
}
}
svg.Clean();
if (this.data.join("").length !== 1) {delete svg.skew}
//
// Handle large operator centering
//
if (values.largeop) {
svg.y = SVG.TeX.axis_height - (svg.h - svg.d)/2/scale;
if (svg.r > svg.w) {svg.ic = svg.r - svg.w; svg.w = svg.r}
}
//
// Finish up
//
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
return svg;
},
SVGcanStretch: function (direction) {
if (!this.Get("stretchy")) {return false}
var c = this.data.join("");
if (c.length > 1) {return false}
var parent = this.CoreParent();
if (parent && parent.isa(MML.munderover) &&
this.CoreText(parent.data[parent.base]).length === 1) {
var over = parent.data[parent.over], under = parent.data[parent.under];
if (over && this === over.CoreMO() && parent.Get("accent")) {c = SVG.FONTDATA.REMAPACCENT[c]||c}
else if (under && this === under.CoreMO() && parent.Get("accentunder")) {c = SVG.FONTDATA.REMAPACCENTUNDER[c]||c}
}
c = SVG.FONTDATA.DELIMITERS[c.charCodeAt(0)];
var can = (c && c.dir == direction.substr(0,1));
if (!can) {delete this.svg}
this.forceStretch = can && (this.Get("minsize",true) || this.Get("maxsize",true));
return can;
},
SVGstretchV: function (h,d) {
var svg = this.svg || this.toSVG();
var values = this.getValues("symmetric","maxsize","minsize");
var axis = SVG.TeX.axis_height*svg.scale, mu = this.SVGgetMu(svg), H;
if (values.symmetric) {H = 2*Math.max(h-axis,d+axis)} else {H = h + d}
values.maxsize = SVG.length2em(values.maxsize,mu,svg.h+svg.d);
values.minsize = SVG.length2em(values.minsize,mu,svg.h+svg.d);
H = Math.max(values.minsize,Math.min(values.maxsize,H));
if (H != values.minsize)
{H = [Math.max(H*SVG.TeX.delimiterfactor/1000,H-SVG.TeX.delimitershortfall),H]}
svg = SVG.createDelimiter(this.data.join("").charCodeAt(0),H,svg.scale);
if (values.symmetric) {H = (svg.h + svg.d)/2 + axis}
else {H = (svg.h + svg.d) * h/(h + d)}
svg.y = H - svg.h;
this.SVGhandleSpace(svg);
this.SVGhandleColor(svg);
delete this.svg.element;
this.SVGsaveData(svg);
svg.stretched = true;
return svg;
},
SVGstretchH: function (w) {
var svg = this.svg || this.toSVG(), mu = this.SVGgetMu(svg);
var values = this.getValues("maxsize","minsize","mathvariant","fontweight");
// FIXME: should take style="font-weight:bold" into account as well
if ((values.fontweight === "bold" || parseInt(values.fontweight) >= 600) &&
!this.Get("mathvariant",true)) {values.mathvariant = MML.VARIANT.BOLD}
values.maxsize = SVG.length2em(values.maxsize,mu,svg.w);
values.minsize = SVG.length2em(values.minsize,mu,svg.w);
w = Math.max(values.minsize,Math.min(values.maxsize,w));
svg = SVG.createDelimiter(this.data.join("").charCodeAt(0),w,svg.scale,values.mathvariant);
this.SVGhandleSpace(svg);
this.SVGhandleColor(svg);
delete this.svg.element;
this.SVGsaveData(svg);
svg.stretched = true;
return svg;
}
});
MML.mtext.Augment({
toSVG: function () {
if (SVG.config.mtextFontInherit || this.Parent().type === "merror") {
this.SVGgetStyles();
var svg = this.SVG(), scale = this.SVGgetScale(svg);
this.SVGhandleSpace(svg);
var variant = this.SVGgetVariant(), def = {direction:this.Get("dir")};
if (variant.bold) {def["font-weight"] = "bold"}
if (variant.italic) {def["font-style"] = "italic"}
variant = this.Get("mathvariant");
if (variant === "monospace") {def["class"] = "MJX-monospace"}
else if (variant.match(/sans-serif/)) {def["class"] = "MJX-sans-serif"}
svg.Add(BBOX.TEXT(scale*100/SVG.config.scale,this.data.join(""),def)); svg.Clean();
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
return svg;
} else {
return this.SUPER(arguments).toSVG.call(this);
}
}
});
MML.merror.Augment({
toSVG: function (HW,D) {
this.SVGgetStyles();
var svg = this.SVG(), scale = SVG.length2em(this.styles.fontSize||1)/1000;
this.SVGhandleSpace(svg);
var def = (scale !== 1 ? {transform:"scale("+SVG.Fixed(scale)+")"} : {});
var bbox = BBOX(def);
bbox.Add(this.SVGchildSVG(0)); bbox.Clean();
if (scale !== 1) {
bbox.removeable = false;
var adjust = ["w","h","d","l","r","D","H"];
for (var i = 0, m = adjust.length; i < m; i++) {bbox[adjust[i]] *= scale}
}
svg.Add(bbox); svg.Clean();
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
return svg;
},
SVGgetStyles: function () {
var span = HTML.Element("span",{style: SVG.config.merrorStyle});
this.styles = this.SVGprocessStyles(span.style);
if (this.style) {
span.style.cssText = this.style;
HUB.Insert(this.styles,this.SVGprocessStyles(span.style));
}
}
});
MML.ms.Augment({toSVG: MML.mbase.SVGautoload});
MML.mglyph.Augment({toSVG: MML.mbase.SVGautoload});
MML.mspace.Augment({
toSVG: function () {
this.SVGgetStyles();
var values = this.getValues("height","depth","width");
values.mathbackground = this.mathbackground;
if (this.background && !this.mathbackground) {values.mathbackground = this.background}
var svg = this.SVG(); this.SVGgetScale(svg);
var scale = this.mscale, mu = this.SVGgetMu(svg);
svg.h = SVG.length2em(values.height,mu) * scale;
svg.d = SVG.length2em(values.depth,mu) * scale;
svg.w = svg.r = SVG.length2em(values.width,mu) * scale;
if (svg.w < 0) {svg.x = svg.w; svg.w = svg.r = 0}
if (svg.h < -svg.d) {svg.d = -svg.h}
svg.l = 0; svg.Clean();
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
return svg;
}
});
MML.mphantom.Augment({
toSVG: function (HW,D) {
this.SVGgetStyles();
var svg = this.SVG(); this.SVGgetScale(svg);
if (this.data[0] != null) {
this.SVGhandleSpace(svg); svg.Add(this.SVGdataStretched(0,HW,D)); svg.Clean();
while (svg.element.firstChild) {svg.element.removeChild(svg.element.firstChild)}
}
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
if (svg.removeable && !svg.element.firstChild) {delete svg.element}
return svg;
}
});
MML.mpadded.Augment({
toSVG: function (HW,D) {
this.SVGgetStyles();
var svg = this.SVG();
if (this.data[0] != null) {
this.SVGgetScale(svg); this.SVGhandleSpace(svg);
var pad = this.SVGdataStretched(0,HW,D), mu = this.SVGgetMu(svg);
var values = this.getValues("height","depth","width","lspace","voffset"), X = 0, Y = 0;
if (values.lspace) {X = this.SVGlength2em(pad,values.lspace,mu)}
if (values.voffset) {Y = this.SVGlength2em(pad,values.voffset,mu)}
var h = pad.h, d = pad.d, w = pad.w, y = pad.y; // these can change durring the Add()
svg.Add(pad,X,Y); svg.Clean();
svg.h = h+y; svg.d = d-y; svg.w = w; svg.removeable = false;
if (values.height !== "") {svg.h = this.SVGlength2em(svg,values.height,mu,"h",0)}
if (values.depth !== "") {svg.d = this.SVGlength2em(svg,values.depth,mu,"d",0)}
if (values.width !== "") {svg.w = this.SVGlength2em(svg,values.width,mu,"w",0)}
if (svg.h > svg.H) {svg.H = svg.h}; if (svg.d > svg.D) {svg.D = svg.d}
}
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
return svg;
},
SVGlength2em: function (svg,length,mu,d,m) {
if (m == null) {m = -SVG.BIGDIMEN}
var match = String(length).match(/width|height|depth/);
var size = (match ? svg[match[0].charAt(0)] : (d ? svg[d] : 0));
var v = SVG.length2em(length,mu,size/this.mscale)*this.mscale;
if (d && String(length).match(/^\s*[-+]/))
{return Math.max(m,svg[d]+v)} else {return v}
}
});
MML.mrow.Augment({
SVG: BBOX.ROW,
toSVG: function (h,d) {
this.SVGgetStyles();
var svg = this.SVG();
this.SVGhandleSpace(svg);
if (d != null) {svg.sh = h; svg.sd = d}
for (var i = 0, m = this.data.length; i < m; i++)
{if (this.data[i]) {svg.Check(this.data[i])}}
svg.Stretch(); svg.Clean();
if (this.data.length === 1 && this.data[0]) {
var data = this.data[0].SVGdata;
if (data.skew) {svg.skew = data.skew}
}
if (this.SVGlineBreaks(svg)) {svg = this.SVGmultiline(svg)}
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
return svg;
},
SVGlineBreaks: function (svg) {
if (!this.parent.linebreakContainer) {return false}
return (SVG.config.linebreaks.automatic &&
svg.w > SVG.linebreakWidth) || this.hasNewline();
},
SVGmultiline: function (span) {MML.mbase.SVGautoloadFile("multiline")},
SVGstretchH: function (w) {
var svg = this.SVG();
this.SVGhandleSpace(svg);
for (var i = 0, m = this.data.length; i < m; i++)
{svg.Add(this.SVGdataStretched(i,w),svg.w,0)}
svg.Clean();
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
return svg;
}
});
MML.mstyle.Augment({
toSVG: function () {
this.SVGgetStyles();
var svg = this.SVG();
if (this.data[0] != null) {
this.SVGhandleSpace(svg);
var math = svg.Add(this.data[0].toSVG()); svg.Clean();
if (math.ic) {svg.ic = math.ic}
this.SVGhandleColor(svg);
}
this.SVGsaveData(svg);
return svg;
},
SVGstretchH: function (w) {
return (this.data[0] != null ? this.data[0].SVGstretchH(w) : BBOX.NULL());
},
SVGstretchV: function (h,d) {
return (this.data[0] != null ? this.data[0].SVGstretchV(h,d) : BBOX.NULL());
}
});
MML.mfrac.Augment({
toSVG: function () {
this.SVGgetStyles();
var svg = this.SVG(), scale = this.SVGgetScale(svg);
var frac = BBOX(); frac.scale = svg.scale; this.SVGhandleSpace(frac);
var num = this.SVGchildSVG(0), den = this.SVGchildSVG(1);
var values = this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");
var isDisplay = values.displaystyle;
var a = SVG.TeX.axis_height * scale;
if (values.bevelled) {
var delta = (isDisplay ? 400 : 150);
var H = Math.max(num.h+num.d,den.h+den.d)+2*delta;
var bevel = SVG.createDelimiter(0x2F,H);
frac.Add(num,0,(num.d-num.h)/2+a+delta);
frac.Add(bevel,num.w-delta/2,(bevel.d-bevel.h)/2+a);
frac.Add(den,num.w+bevel.w-delta,(den.d-den.h)/2+a-delta);
} else {
var W = Math.max(num.w,den.w);
var t = SVG.thickness2em(values.linethickness,this.scale)*this.mscale, p,q, u,v;
var mt = SVG.TeX.min_rule_thickness/SVG.em * 1000;
if (isDisplay) {u = SVG.TeX.num1; v = SVG.TeX.denom1}
else {u = (t === 0 ? SVG.TeX.num3 : SVG.TeX.num2); v = SVG.TeX.denom2}
u *= scale; v *= scale;
if (t === 0) {// \atop
p = Math.max((isDisplay ? 7 : 3) * SVG.TeX.rule_thickness, 2*mt); // force to at least 2 px
q = (u - num.d) - (den.h - v);
if (q < p) {u += (p - q)/2; v += (p - q)/2}
frac.w = W; t = 0;
} else {// \over
p = Math.max((isDisplay ? 2 : 0) * mt + t, t/2 + 1.5*mt); // force to be at least 1.5px
q = (u - num.d) - (a + t/2); if (q < p) {u += p - q}
q = (a - t/2) - (den.h - v); if (q < p) {v += p - q}
frac.Add(BBOX.RECT(t/2,t/2,W+2*t),0,a);
}
frac.Align(num,values.numalign,t,u);
frac.Align(den,values.denomalign,t,-v);
}
frac.Clean(); svg.Add(frac,0,0); svg.Clean();
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
return svg;
},
SVGcanStretch: function (direction) {return false},
SVGhandleSpace: function (svg) {
if (!this.texWithDelims && !this.useMMLspacing) {
//
// Add nulldelimiterspace around the fraction
// (TeXBook pg 150 and Appendix G rule 15e)
//
svg.x = svg.X = SVG.TeX.nulldelimiterspace * this.mscale;
}
this.SUPER(arguments).SVGhandleSpace.call(this,svg);
}
});
MML.msqrt.Augment({
toSVG: function () {
this.SVGgetStyles();
var svg = this.SVG(), scale = this.SVGgetScale(svg); this.SVGhandleSpace(svg);
var base = this.SVGchildSVG(0), rule, surd;
var t = SVG.TeX.rule_thickness * scale, p,q, H, x = 0;
if (this.Get("displaystyle")) {p = SVG.TeX.x_height * scale} else {p = t}
q = Math.max(t + p/4,1000*SVG.TeX.min_root_space/SVG.em);
H = base.h + base.d + q + t;
surd = SVG.createDelimiter(0x221A,H,scale);
if (surd.h + surd.d > H) {q = ((surd.h+surd.d) - (H-t)) / 2}
rule = BBOX.RECT(t,0,base.w);
H = base.h + q + t;
x = this.SVGaddRoot(svg,surd,x,surd.h+surd.d-H,scale);
svg.Add(surd,x,H-surd.h);
svg.Add(rule,x+surd.w,H-rule.h);
svg.Add(base,x+surd.w,0);
svg.Clean();
svg.h += t; svg.H += t;
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
return svg;
},
SVGaddRoot: function (svg,surd,x,d,scale) {return x}
});
MML.mroot.Augment({
toSVG: MML.msqrt.prototype.toSVG,
SVGaddRoot: function (svg,surd,x,d,scale) {
var dx = (surd.isMultiChar ? .55 : .65) * surd.w;
if (this.data[1]) {
var root = this.data[1].toSVG(); root.x = 0;
var h = this.SVGrootHeight(surd.h+surd.d,scale,root)-d;
var w = Math.min(root.w,root.r); // remove extra right-hand padding, if any
x = Math.max(w,dx);
svg.Add(root,x-w,h);
} else {dx = x}
return x - dx;
},
SVGrootHeight: function (d,scale,root) {
return .45*(d-900*scale) + 600*scale + Math.max(0,root.d-75);
}
});
MML.mfenced.Augment({
SVG: BBOX.ROW,
toSVG: function () {
this.SVGgetStyles();
var svg = this.SVG();
this.SVGhandleSpace(svg);
if (this.data.open) {svg.Check(this.data.open)}
if (this.data[0] != null) {svg.Check(this.data[0])}
for (var i = 1, m = this.data.length; i < m; i++) {
if (this.data[i]) {
if (this.data["sep"+i]) {svg.Check(this.data["sep"+i])}
svg.Check(this.data[i]);
}
}
if (this.data.close) {svg.Check(this.data.close)}
svg.Stretch(); svg.Clean();
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
return svg;
}
});
MML.menclose.Augment({toSVG: MML.mbase.SVGautoload});
MML.maction.Augment({toSVG: MML.mbase.SVGautoload});
MML.semantics.Augment({
toSVG: function () {
this.SVGgetStyles();
var svg = this.SVG();
if (this.data[0] != null) {
this.SVGhandleSpace(svg);
svg.Add(this.data[0].toSVG()); svg.Clean();
} else {svg.Clean()}
this.SVGsaveData(svg);
return svg;
},
SVGstretchH: function (w) {
return (this.data[0] != null ? this.data[0].SVGstretchH(w) : BBOX.NULL());
},
SVGstretchV: function (h,d) {
return (this.data[0] != null ? this.data[0].SVGstretchV(h,d) : BBOX.NULL());
}
});
MML.munderover.Augment({
toSVG: function (HW,D) {
this.SVGgetStyles();
var values = this.getValues("displaystyle","accent","accentunder","align");
var base = this.data[this.base];
if (!values.displaystyle && base != null &&
(base.movablelimits || base.CoreMO().Get("movablelimits")))
{return MML.msubsup.prototype.toSVG.call(this)}
var svg = this.SVG(), scale = this.SVGgetScale(svg); this.SVGhandleSpace(svg);
var boxes = [], stretch = [], box, i, m, W = -SVG.BIGDIMEN, WW = W;
for (i = 0, m = this.data.length; i < m; i++) {
if (this.data[i] != null) {
if (i == this.base) {
boxes[i] = this.SVGdataStretched(i,HW,D);
stretch[i] = (D != null || HW == null) && this.data[i].SVGcanStretch("Horizontal");
} else {
boxes[i] = this.data[i].toSVG(); boxes[i].x = 0; delete boxes[i].X;
stretch[i] = this.data[i].SVGcanStretch("Horizontal");
}
if (boxes[i].w > WW) {WW = boxes[i].w}
if (!stretch[i] && WW > W) {W = WW}
}
}
if (D == null && HW != null) {W = HW} else if (W == -SVG.BIGDIMEN) {W = WW}
for (i = WW = 0, m = this.data.length; i < m; i++) {if (this.data[i]) {
if (stretch[i]) {
boxes[i] = this.data[i].SVGstretchH(W);
if (i !== this.base) {boxes[i].x = 0; delete boxes[i].X}
}
if (boxes[i].w > WW) {WW = boxes[i].w}
}}
var t = SVG.TeX.rule_thickness * this.mscale;
var x, y, z1, z2, z3, dw, k, delta = 0;
base = boxes[this.base] || {w:0, h:0, d:0, H:0, D:0, l:0, r:0, y:0, scale:scale};
if (base.ic) {delta = 1.3*base.ic + .05} // adjust faked IC to be more in line with expeted results
for (i = 0, m = this.data.length; i < m; i++) {
if (this.data[i] != null) {
box = boxes[i];
z3 = SVG.TeX.big_op_spacing5 * scale;
var accent = (i != this.base && values[this.ACCENTS[i]]);
if (accent && box.w <= 1) {
box.x = -box.l;
boxes[i] = BBOX.G().With({removeable: false});
boxes[i].Add(box); boxes[i].Clean();
boxes[i].w = -box.l; box = boxes[i];
}
dw = {left:0, center:(WW-box.w)/2, right:WW-box.w}[values.align];
x = dw; y = 0;
if (i == this.over) {
if (accent) {
k = t * scale; z3 = 0;
if (base.skew) {
x += base.skew; svg.skew = base.skew;
if (x+box.w > WW) {svg.skew += (WW-box.w-x)/2}
}
} else {
z1 = SVG.TeX.big_op_spacing1 * scale;
z2 = SVG.TeX.big_op_spacing3 * scale;
k = Math.max(z1,z2-Math.max(0,box.d));
}
k = Math.max(k,1500/SVG.em);
x += delta/2; y = base.y + base.h + box.d + k;
box.h += z3; if (box.h > box.H) {box.H = box.h}
} else if (i == this.under) {
if (accent) {
k = 3*t * scale; z3 = 0;
} else {
z1 = SVG.TeX.big_op_spacing2 * scale;
z2 = SVG.TeX.big_op_spacing4 * scale;
k = Math.max(z1,z2-box.h);
}
k = Math.max(k,1500/SVG.em);
x -= delta/2; y = base.y -(base.d + box.h + k);
box.d += z3; if (box.d > box.D) {box.D = box.d}
}
svg.Add(box,x,y);
}
}
svg.Clean();
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
return svg;
}
});
MML.msubsup.Augment({
toSVG: function (HW,D) {
this.SVGgetStyles();
var svg = this.SVG(), scale = this.SVGgetScale(svg); this.SVGhandleSpace(svg);
var mu = this.SVGgetMu(svg);
var base = svg.Add(this.SVGdataStretched(this.base,HW,D));
var sscale = (this.data[this.sup] || this.data[this.sub] || this).SVGgetScale();
var x_height = SVG.TeX.x_height * scale, s = SVG.TeX.scriptspace * scale;
var sup, sub;
if (this.SVGnotEmpty(this.data[this.sup])) {
sup = this.data[this.sup].toSVG();
sup.w += s; sup.r = Math.max(sup.w,sup.r);
}
if (this.SVGnotEmpty(this.data[this.sub])) {
sub = this.data[this.sub].toSVG();
sub.w += s; sub.r = Math.max(sub.w,sub.r);
}
var q = SVG.TeX.sup_drop * sscale, r = SVG.TeX.sub_drop * sscale;
var u = base.h+(base.y||0) - q, v = base.d-(base.y||0) + r, delta = 0, p;
if (base.ic) {
base.w -= base.ic; // remove IC (added by mo and mi)
delta = 1.3*base.ic+.05; // adjust faked IC to be more in line with expeted results
}
if (this.data[this.base] &&
(this.data[this.base].type === "mi" || this.data[this.base].type === "mo")) {
if (this.data[this.base].data.join("").length === 1 && base.scale === 1 &&
!base.stretched && !this.data[this.base].Get("largeop")) {u = v = 0}
}
var min = this.getValues("subscriptshift","superscriptshift");
min.subscriptshift = (min.subscriptshift === "" ? 0 : SVG.length2em(min.subscriptshift,mu));
min.superscriptshift = (min.superscriptshift === "" ? 0 : SVG.length2em(min.superscriptshift,mu));
var x = base.w + base.x;
if (!sup) {
if (sub) {
v = Math.max(v,SVG.TeX.sub1*scale,sub.h-(4/5)*x_height,min.subscriptshift);
svg.Add(sub,x,-v); this.data[this.sub].SVGdata.dy = -v;
}
} else {
if (!sub) {
values = this.getValues("displaystyle","texprimestyle");
p = SVG.TeX[(values.displaystyle ? "sup1" : (values.texprimestyle ? "sup3" : "sup2"))];
u = Math.max(u,p*scale,sup.d+(1/4)*x_height,min.superscriptshift);
svg.Add(sup,x+delta,u);
this.data[this.sup].SVGdata.dx = delta;
this.data[this.sup].SVGdata.dy = u;
} else {
v = Math.max(v,SVG.TeX.sub2*scale);
var t = SVG.TeX.rule_thickness * scale;
if ((u - sup.d) - (sub.h - v) < 3*t) {
v = 3*t - u + sup.d + sub.h;
q = (4/5)*x_height - (u - sup.d);
if (q > 0) {u += q; v -= q}
}
svg.Add(sup,x+delta,Math.max(u,min.superscriptshift));
svg.Add(sub,x,-Math.max(v,min.subscriptshift));
this.data[this.sup].SVGdata.dx = delta;
this.data[this.sup].SVGdata.dy = Math.max(u,min.superscriptshift);
this.data[this.sub].SVGdata.dy = -Math.max(v,min.subscriptshift);
}
}
svg.Clean();
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
return svg;
}
});
MML.mmultiscripts.Augment({toSVG: MML.mbase.SVGautoload});
MML.mtable.Augment({toSVG: MML.mbase.SVGautoload});
MML["annotation-xml"].Augment({toSVG: MML.mbase.SVGautoload});
MML.math.Augment({
SVG: BBOX.Subclass({type:"svg", removeable: false}),
toSVG: function (span,div) {
var CONFIG = SVG.config;
//
// All the data should be in an inferrerd row
//
if (this.data[0]) {
this.SVGgetStyles();
MML.mbase.prototype.displayAlign = HUB.config.displayAlign;
MML.mbase.prototype.displayIndent = HUB.config.displayIndent;
if (String(HUB.config.displayIndent).match(/^0($|[a-z%])/i))
MML.mbase.prototype.displayIndent = "0";
//
// Put content in a <g> with defaults and matrix that flips y axis.
// Put that in an <svg> with xlink defined.
//
var box = BBOX.G(); box.Add(this.data[0].toSVG(),0,0,true); box.Clean();
this.SVGhandleColor(box);
SVG.Element(box.element,{
stroke:"currentColor", fill:"currentColor", "stroke-width":0,
transform: "matrix(1 0 0 -1 0 0)"
});
box.removeable = false;
var svg = this.SVG();
svg.element.setAttribute("xmlns:xlink",XLINKNS);
if (CONFIG.useFontCache && !CONFIG.useGlobalCache)
{svg.element.appendChild(BBOX.GLYPH.defs)}
svg.Add(box); svg.Clean();
this.SVGsaveData(svg);
//
// If this element is not the top-level math element
// remove the transform and return the svg object
// (issue #614).
//
if (!span) {
svg.element = svg.element.firstChild; // remove <svg> element
svg.element.removeAttribute("transform");
svg.removable = true;
return svg;
}
//
// Style the <svg> to get the right size and placement
//
var l = Math.max(-svg.l,0), r = Math.max(svg.r-svg.w,0);
var style = svg.element.style, px = SVG.TeX.x_height/SVG.ex;
var H = (Math.ceil(svg.H/px)+1)*px+SVG.HFUZZ, // round to pixels and add padding
D = (Math.ceil(svg.D/px)+1)*px+SVG.DFUZZ;
svg.element.setAttribute("width",SVG.Ex(l+svg.w+r));
svg.element.setAttribute("height",SVG.Ex(H+D));
style.verticalAlign = SVG.Ex(-D);
if (l) style.marginLeft = SVG.Ex(-l);
if (r) style.marginRight = SVG.Ex(-r);
svg.element.setAttribute("viewBox",SVG.Fixed(-l,1)+" "+SVG.Fixed(-H,1)+" "+
SVG.Fixed(l+svg.w+r,1)+" "+SVG.Fixed(H+D,1));
//
// If there is extra height or depth, hide that
//
if (svg.H > svg.h) style.marginTop = SVG.Ex(svg.h-H);
if (svg.D > svg.d) {
style.marginBottom = SVG.Ex(svg.d-D);
style.verticalAlign = SVG.Ex(-svg.d);
}
//
// Add it to the MathJax span
//
var alttext = this.Get("alttext");
if (alttext && !svg.element.getAttribute("aria-label")) svg.element.setAttribute("aria-label",alttext);
if (!svg.element.getAttribute("role")) svg.element.setAttribute("role","img");
svg.element.setAttribute("focusable","false");
span.appendChild(svg.element);
svg.element = null;
//
// Handle indentalign and indentshift for single-line displays
//
if (!this.isMultiline && this.Get("display") === "block" && !svg.hasIndent) {
var values = this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");
if (values.indentalignfirst !== MML.INDENTALIGN.INDENTALIGN) {values.indentalign = values.indentalignfirst}
if (values.indentalign === MML.INDENTALIGN.AUTO) {values.indentalign = this.displayAlign}
if (values.indentshiftfirst !== MML.INDENTSHIFT.INDENTSHIFT) {values.indentshift = values.indentshiftfirst}
if (values.indentshift === "auto") {values.indentshift = "0"}
var shift = SVG.length2em(values.indentshift,1,SVG.cwidth);
if (this.displayIndent !== "0") {
var indent = SVG.length2em(this.displayIndent,1,SVG.cwidth);
shift += (values.indentalign === MML.INDENTALIGN.RIGHT ? -indent : indent);
}
div.style.textAlign = values.indentalign;
if (shift) {
HUB.Insert(style,({
left: {marginLeft: SVG.Ex(shift)},
right: {marginRight: SVG.Ex(-shift), marginLeft: SVG.Ex(Math.max(0,shift-(l+svg.w+r)))},
center: {marginLeft: SVG.Ex(shift), marginRight: SVG.Ex(-shift)}
})[values.indentalign]);
}
}
}
return span;
}
});
MML.TeXAtom.Augment({
toSVG: function (HW,D) {
this.SVGgetStyles();
var svg = this.SVG();
this.SVGhandleSpace(svg);
if (this.data[0] != null) {
var box = this.SVGdataStretched(0,HW,D), y = 0;
if (this.texClass === MML.TEXCLASS.VCENTER)
{y = SVG.TeX.axis_height - (box.h+box.d)/2 + box.d}
svg.Add(box,0,y);
svg.ic = box.ic; svg.skew = box.skew;
}
this.SVGhandleColor(svg);
this.SVGsaveData(svg);
return svg;
}
});
//
// Make sure these don't generate output
//
MML.maligngroup.Augment({toSVG: MML.mbase.SVGemptySVG});
MML.malignmark.Augment({toSVG: MML.mbase.SVGemptySVG});
MML.mprescripts.Augment({toSVG: MML.mbase.SVGemptySVG});
MML.none.Augment({toSVG: MML.mbase.SVGemptySVG});
//
// Loading isn't complete until the element jax is modified,
// but can't call loadComplete within the callback for "mml Jax Ready"
// (it would call SVG's Require routine, asking for the mml jax again)
// so wait until after the mml jax has finished processing.
//
// We also need to wait for the onload handler to run, since the loadComplete
// will call Config and Startup, which need to modify the body.
//
HUB.Register.StartupHook("onLoad",function () {
setTimeout(MathJax.Callback(["loadComplete",SVG,"jax.js"]),0);
});
});
HUB.Browser.Select({
Opera: function (browser) {
SVG.Augment({
operaZoomRefresh: true // Opera needs a kick to redraw zoomed equations
});
}
});
HUB.Register.StartupHook("End Cookie", function () {
if (HUB.config.menuSettings.zoom !== "None")
{AJAX.Require("[MathJax]/extensions/MathZoom.js")}
});
if (!document.createElementNS) {
//
// Try to handle SVG in IE8 and below, but fail
// (but don't crash on loading the file, so no delay for loadComplete)
//
if (!document.namespaces.svg) {document.namespaces.add("svg",SVGNS)}
SVG.Augment({
Element: function (type,def) {
var obj = (typeof(type) === "string" ? document.createElement("svg:"+type) : type);
obj.isMathJax = true;
if (def) {for (var id in def) {if (def.hasOwnProperty(id)) {obj.setAttribute(id,def[id].toString())}}}
return obj;
}
});
}
})(MathJax.Ajax, MathJax.Hub, MathJax.HTML, MathJax.OutputJax.SVG);
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