reveal-js-base-theme/plugin/math/mathjax/unpacked/jax/output/SVG/autoload/multiline.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/autoload/multiline.js
*
* Implements the SVG output for <mrow>'s that contain line breaks.
*
* ---------------------------------------------------------------------
*
* Copyright (c) 2011-2013 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.
*/
MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
var VERSION = "2.3";
var MML = MathJax.ElementJax.mml,
SVG = MathJax.OutputJax.SVG,
BBOX = SVG.BBOX;
//
// Penalties for the various line breaks
//
var PENALTY = {
newline: 0,
nobreak: 1000000,
goodbreak: [-200],
badbreak: [+200],
auto: [0],
toobig: 800,
nestfactor: 400,
spacefactor: -100,
spaceoffset: 2,
spacelimit: 1, // spaces larger than this get a penalty boost
fence: 500,
close: 500
};
var ENDVALUES = {linebreakstyle: "after"};
/**************************************************************************/
MML.mrow.Augment({
//
// Handle breaking an mrow into separate lines
//
SVGmultiline: function (svg) {
//
// Find the parent element and mark it as multiline
//
var parent = this;
while (parent.inferred || (parent.parent && parent.parent.type === "mrow" &&
parent.parent.data.length === 1)) {parent = parent.parent}
var isTop = ((parent.type === "math" && parent.Get("display") === "block") ||
parent.type === "mtd");
parent.isMultiline = true;
//
// Default values for the line-breaking parameters
//
var VALUES = this.getValues(
"linebreak","linebreakstyle","lineleading","linebreakmultchar",
"indentalign","indentshift",
"indentalignfirst","indentshiftfirst",
"indentalignlast","indentshiftlast"
);
if (VALUES.linebreakstyle === MML.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE)
{VALUES.linebreakstyle = this.Get("infixlinebreakstyle")}
VALUES.lineleading = SVG.length2em(VALUES.lineleading,1,0.5);
//
// Start with a fresh SVG element
// and make it full width if we are breaking to a specific width
//
svg = this.SVG();
if (SVG.linebreakWidth < SVG.BIGDIMEN) {svg.w = SVG.linebreakWidth}
else {svg.w = SVG.cwidth/SVG.em * 1000}
var state = {
n: 0, Y: 0,
scale: this.SVGgetScale(),
isTop: isTop,
values: {},
VALUES: VALUES
},
align = this.SVGgetAlign(state,{}),
shift = this.SVGgetShift(state,{},align),
start = [],
end = {
index:[], penalty:PENALTY.nobreak,
w:0, W:shift, shift:shift, scanW:shift,
nest: 0
},
broken = false;
//
// Break the expression at its best line breaks
//
while (this.SVGbetterBreak(end,state) &&
(end.scanW >= SVG.linebreakWidth || end.penalty == PENALTY.newline)) {
this.SVGaddLine(svg,start,end.index,state,end.values,broken);
start = end.index.slice(0); broken = true;
align = this.SVGgetAlign(state,end.values);
shift = this.SVGgetShift(state,end.values,align);
if (align === MML.INDENTALIGN.CENTER) {shift = 0}
end.W = end.shift = end.scanW = shift; end.penalty = PENALTY.nobreak;
}
state.isLast = true;
this.SVGaddLine(svg,start,[],state,ENDVALUES,broken);
this.SVGhandleSpace(svg);
this.SVGhandleColor(svg);
svg.isMultiline = true;
this.SVGsaveData(svg);
return svg;
}
});
/**************************************************************************/
MML.mbase.Augment({
SVGlinebreakPenalty: PENALTY,
/****************************************************************/
//
// Locate the next linebreak that is better than the current one
//
SVGbetterBreak: function (info,state) {
if (this.isToken) {return false} // FIXME: handle breaking of token elements
if (this.isEmbellished()) {
info.embellished = this;
return this.CoreMO().SVGbetterBreak(info,state);
}
if (this.linebreakContainer) {return false}
//
// Get the current breakpoint position and other data
//
var index = info.index.slice(0), i = info.index.shift(),
m = this.data.length, W, w, scanW, broken = (info.index.length > 0), better = false;
if (i == null) {i = -1}; if (!broken) {i++; info.W += info.w; info.w = 0}
scanW = info.scanW = info.W; info.nest++;
//
// Look through the line for breakpoints,
// (as long as we are not too far past the breaking width)
//
while (i < m && info.scanW < 1.33*SVG.linebreakWidth) {
if (this.data[i]) {
if (this.data[i].SVGbetterBreak(info,state)) {
better = true; index = [i].concat(info.index); W = info.W; w = info.w;
if (info.penalty === PENALTY.newline) {
info.index = index;
if (info.nest) {info.nest--}
return true;
}
}
scanW = (broken ? info.scanW : this.SVGaddWidth(i,info,scanW));
}
info.index = []; i++; broken = false;
}
if (info.nest) {info.nest--}
info.index = index;
if (better) {info.W = W}
return better;
},
SVGaddWidth: function (i,info,scanW) {
if (this.data[i]) {
var svg = this.data[i].SVGdata;
scanW += svg.w + svg.x; if (svg.X) {scanW += svg.X}
info.W = info.scanW = scanW; info.w = 0;
}
return scanW;
},
/****************************************************************/
//
// Create a new line and move the required elements into it
// Position it using proper alignment and indenting
//
SVGaddLine: function (svg,start,end,state,values,broken) {
//
// Create a box for the line, with empty BBox
// fill it with the proper elements,
// and clean up the bbox
//
var line = BBOX();
state.first = broken; state.last = true;
this.SVGmoveLine(start,end,line,state,values);
line.Clean();
//
// Get the alignment and shift values
//
var align = this.SVGgetAlign(state,values),
shift = this.SVGgetShift(state,values,align);
//
// Add in space for the shift
//
if (shift) {
if (align === MML.INDENTALIGN.LEFT) {line.x = shift} else
if (align === MML.INDENTALIGN.RIGHT) {line.w += shift; line.r = line.w}
}
//
// Set the Y offset based on previous depth, leading, and current height
//
if (state.n > 0) {
var LHD = SVG.FONTDATA.baselineskip * state.scale;
var leading = (state.values.lineleading == null ? state.VALUES : state.values).lineleading;
state.Y -= Math.max(LHD,state.d + line.h + leading);
}
//
// Place the new line
//
svg.Align(line,align,0,state.Y);
//
// Save the values needed for the future
//
state.d = line.d; state.values = values; state.n++;
},
/****************************************************************/
//
// Get alignment and shift values from the given data
//
SVGgetAlign: function (state,values) {
var cur = values, prev = state.values, def = state.VALUES, align;
if (state.n === 0) {align = cur.indentalignfirst || prev.indentalignfirst || def.indentalignfirst}
else if (state.isLast) {align = prev.indentalignlast || def.indentalignlast}
else {align = prev.indentalign || def.indentalign}
if (align === MML.INDENTALIGN.INDENTALIGN) {align = prev.indentalign || def.indentalign}
if (align === MML.INDENTALIGN.AUTO) {align = (state.isTop ? this.displayAlign : MML.INDENTALIGN.LEFT)}
return align;
},
SVGgetShift: function (state,values,align) {
if (align === MML.INDENTALIGN.CENTER) {return 0}
var cur = values, prev = state.values, def = state.VALUES, shift;
if (state.n === 0) {shift = cur.indentshiftfirst || prev.indentshiftfirst || def.indentshiftfirst}
else if (state.isLast) {shift = prev.indentshiftlast || def.indentshiftlast}
else {shift = prev.indentshift || def.indentshift}
if (shift === MML.INDENTSHIFT.INDENTSHIFT) {shift = prev.indentshift || def.indentshift}
if (shift === "auto" || shift === "") {shift = (state.isTSop ? this.displayIndent : "0")}
return SVG.length2em(shift,0);
},
/****************************************************************/
//
// Move the selected elements into the new line,
// moving whole items when possible, and parts of ones
// that are split by a line break.
//
SVGmoveLine: function (start,end,svg,state,values) {
var i = start[0], j = end[0];
if (i == null) {i = -1}; if (j == null) {j = this.data.length-1}
if (i === j && start.length > 1) {
//
// If starting and ending in the same element move the subpiece to the new line
//
this.data[i].SVGmoveSlice(start.slice(1),end.slice(1),svg,state,values,"paddingLeft");
} else {
//
// Otherwise, move the remainder of the initial item
// and any others up to the last one
//
var last = state.last; state.last = false;
while (i < j) {
if (this.data[i]) {
if (start.length <= 1) {this.data[i].SVGmove(svg,state,values)}
else {this.data[i].SVGmoveSlice(start.slice(1),[],svg,state,values,"paddingLeft")}
}
i++; state.first = false; start = [];
}
//
// If the last item is complete, move it,
// otherwise move the first part of it up to the split
//
state.last = last;
if (this.data[i]) {
if (end.length <= 1) {this.data[i].SVGmove(svg,state,values)}
else {this.data[i].SVGmoveSlice([],end.slice(1),svg,state,values,"paddingRight")}
}
}
},
/****************************************************************/
//
// Split an element and copy the selected items into the new part
//
SVGmoveSlice: function (start,end,svg,state,values,padding) {
//
// Create a new container for the slice of the element
// Move the selected portion into the slice
//
var slice = BBOX();
this.SVGmoveLine(start,end,slice,state,values);
slice.Clean();
this.SVGhandleColor(slice);
svg.Add(slice,svg.w,0,true);
return slice;
},
/****************************************************************/
//
// Move an element from its original position to its new location in
// a split element or the new line's position
//
SVGmove: function (line,state,values) {
// FIXME: handle linebreakstyle === "duplicate"
// FIXME: handle linebreakmultchar
if (!(state.first || state.last) ||
(state.first && state.values.linebreakstyle === MML.LINEBREAKSTYLE.BEFORE) ||
(state.last && values.linebreakstyle === MML.LINEBREAKSTYLE.AFTER)) {
//
// Recreate output
// Remove padding (if first, remove at right, if last remove at left)
// Add to line
//
var svg = this.toSVG(this.SVGdata.HW,this.SVGdata.D);
if (state.last) {svg.x = 0}
if (state.first || state.nextIsFirst) {delete state.nextIsFirst; if (svg.X) {svg.X = 0}}
line.Add(svg,line.w,0,true);
} else if (state.first) {state.nextIsFirst = true} else {delete state.nextIsFirst}
}
});
/**************************************************************************/
MML.mfenced.Augment({
SVGbetterBreak: function (info,state) {
//
// Get the current breakpoint position and other data
//
var index = info.index.slice(0), i = info.index.shift(),
m = this.data.length, W, w, scanW, broken = (info.index.length > 0), better = false;
if (i == null) {i = -1}; if (!broken) {i++; info.W += info.w; info.w = 0}
scanW = info.scanW = info.W; info.nest++;
//
// Create indices that include the delimiters and separators
//
if (!this.dataI) {
this.dataI = [];
if (this.data.open) {this.dataI.push("open")}
if (m) {this.dataI.push(0)}
for (var j = 1; j < m; j++) {
if (this.data["sep"+j]) {this.dataI.push("sep"+j)}
this.dataI.push(j);
}
if (this.data.close) {this.dataI.push("close")}
}
m = this.dataI.length;
//
// Look through the line for breakpoints, including the open, close, and separators
// (as long as we are not too far past the breaking width)
//
while (i < m && info.scanW < 1.33*SVG.linebreakWidth) {
var k = this.dataI[i];
if (this.data[k]) {
if (this.data[k].SVGbetterBreak(info,state)) {
better = true; index = [i].concat(info.index); W = info.W; w = info.w;
if (info.penalty === PENALTY.newline) {
info.index = index;
if (info.nest) {info.nest--}
return true;
}
}
scanW = (broken ? info.scanW : this.SVGaddWidth(i,info,scanW));
}
info.index = []; i++; broken = false;
}
if (info.nest) {info.nest--}
info.index = index;
if (better) {info.W = W; info.w = w}
return better;
},
SVGmoveLine: function (start,end,svg,state,values) {
var i = start[0], j = end[0];
if (i == null) {i = -1}; if (j == null) {j = this.dataI.length-1}
if (i === j && start.length > 1) {
//
// If starting and ending in the same element move the subpiece to the new line
//
this.data[this.dataI[i]].SVGmoveSlice(start.slice(1),end.slice(1),svg,state,values,"paddingLeft");
} else {
//
// Otherwise, move the remainder of the initial item
// and any others (including open and separators) up to the last one
//
var last = state.last; state.last = false; var k = this.dataI[i];
while (i < j) {
if (this.data[k]) {
if (start.length <= 1) {this.data[k].SVGmove(svg,state,values)}
else {this.data[k].SVGmoveSlice(start.slice(1),[],svg,state,values,"paddingLeft")}
}
i++; k = this.dataI[i]; state.first = false; start = [];
}
//
// If the last item is complete, move it
//
state.last = last;
if (this.data[k]) {
if (end.length <= 1) {this.data[k].SVGmove(svg,state,values)}
else {this.data[k].SVGmoveSlice([],end.slice(1),svg,state,values,"paddingRight")}
}
}
}
});
/**************************************************************************/
MML.msubsup.Augment({
SVGbetterBreak: function (info,state) {
if (!this.data[this.base]) {return false}
//
// Get the current breakpoint position and other data
//
var index = info.index.slice(0), i = info.index.shift(),
W, w, scanW, broken = (info.index.length > 0), better = false;
if (!broken) {info.W += info.w; info.w = 0}
scanW = info.scanW = info.W;
//
// Record the width of the base and the super- and subscripts
//
if (i == null) {this.SVGdata.dw = this.SVGdata.w - this.data[this.base].SVGdata.w}
//
// Check if the base can be broken
//
if (this.data[this.base].SVGbetterBreak(info,state)) {
better = true; index = [this.base].concat(info.index); W = info.W; w = info.w;
if (info.penalty === PENALTY.newline) {better = broken = true}
}
//
// Add in the base if it is unbroken, and add the scripts
//
if (!broken) {this.SVGaddWidth(this.base,info,scanW)}
info.scanW += this.SVGdata.dw; info.W = info.scanW;
info.index = []; if (better) {info.W = W; info.w = w; info.index = index}
return better;
},
SVGmoveLine: function (start,end,svg,state,values) {
//
// Move the proper part of the base
//
if (this.data[this.base]) {
if (start.length > 1) {
this.data[this.base].SVGmoveSlice(start.slice(1),end.slice(1),svg,state,values,"paddingLeft");
} else {
if (end.length <= 1) {this.data[this.base].SVGmove(svg,state,values)}
else {this.data[this.base].SVGmoveSlice([],end.slice(1),svg,state,values,"paddingRight")}
}
}
//
// If this is the end, check for super and subscripts, and move those
// by moving the stack tht contains them, and shifting by the amount of the
// base that has been removed. Remove the empty base box from the stack.
//
if (end.length === 0) {
var sup = this.data[this.sup], sub = this.data[this.sub], w = svg.w, data;
if (sup) {data = sup.SVGdata; svg.Add(sup.toSVG(),w+(data.dx||0),data.dy)}
if (sub) {data = sub.SVGdata; svg.Add(sub.toSVG(),w+(data.dx||0),data.dy)}
}
}
});
/**************************************************************************/
MML.mo.Augment({
//
// Override the method for checking line breaks to properly handle <mo>
//
SVGbetterBreak: function (info,state) {
if (info.values && info.values.last === this) {return false}
var values = this.getValues(
"linebreak","linebreakstyle","lineleading","linebreakmultchar",
"indentalign","indentshift",
"indentalignfirst","indentshiftfirst",
"indentalignlast","indentshiftlast",
"texClass", "fence"
);
if (values.linebreakstyle === MML.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE)
{values.linebreakstyle = this.Get("infixlinebreakstyle")}
//
// Adjust nesting by TeX class (helps output that does not include
// mrows for nesting, but can leave these unbalanced.
//
if (values.texClass === MML.TEXCLASS.OPEN) {info.nest++}
if (values.texClass === MML.TEXCLASS.CLOSE && info.nest) {info.nest--}
//
// Get the default penalty for this location
//
var W = info.scanW, mo = (info.embellished||this); delete info.embellished;
var svg = mo.SVGdata, w = svg.w + svg.x;
if (values.linebreakstyle === MML.LINEBREAKSTYLE.AFTER) {W += w; w = 0}
if (W - info.shift === 0) {return false} // don't break at zero width (FIXME?)
var offset = SVG.linebreakWidth - W;
// adjust offest for explicit first-line indent and align
if (state.n === 0 && (values.indentshiftfirst !== state.VALUES.indentshiftfirst ||
values.indentalignfirst !== state.VALUES.indentalignfirst)) {
var align = this.SVGgetAlign(state,values),
shift = this.SVGgetShift(state,values,align);
offset += (info.shift - shift);
}
//
var penalty = Math.floor(offset / SVG.linebreakWidth * 1000);
if (penalty < 0) {penalty = PENALTY.toobig - 3*penalty}
if (values.fence) {penalty += PENALTY.fence}
if ((values.linebreakstyle === MML.LINEBREAKSTYLE.AFTER &&
values.texClass === MML.TEXCLASS.OPEN) ||
values.texClass === MML.TEXCLASS.CLOSE) {penalty += PENALTY.close}
penalty += info.nest * PENALTY.nestfactor;
//
// Get the penalty for this type of break and
// use it to modify the default penalty
//
var linebreak = PENALTY[values.linebreak||MML.LINEBREAK.AUTO];
if (!(linebreak instanceof Array)) {
// for breaks past the width, don't modify penalty
if (offset >= 0) {penalty = linebreak * info.nest}
} else {penalty = Math.max(1,penalty + linebreak[0] * info.nest)}
//
// If the penalty is no better than the current one, return false
// Otherwise save the data for this breakpoint and return true
//
if (penalty >= info.penalty) {return false}
info.penalty = penalty; info.values = values; info.W = W; info.w = w;
values.lineleading = SVG.length2em(values.lineleading,state.VALUES.lineleading);
values.last = this;
return true;
}
});
/**************************************************************************/
MML.mspace.Augment({
//
// Override the method for checking line breaks to properly handle <mspace>
//
SVGbetterBreak: function (info,state) {
if (info.values && info.values.last === this) {return false}
var values = this.getValues("linebreak");
var linebreakValue = values.linebreak;
if (!linebreakValue || this.hasDimAttr()) {
// The MathML spec says that the linebreak attribute should be ignored
// if any dimensional attribute is set.
linebreakValue = MML.LINEBREAK.AUTO;
}
//
// Get the default penalty for this location
//
var W = info.scanW, svg = this.SVGdata, w = svg.w + svg.x;
if (W - info.shift === 0) {return false} // don't break at zero width (FIXME?)
var offset = SVG.linebreakWidth - W;
//
var penalty = Math.floor(offset / SVG.linebreakWidth * 1000);
if (penalty < 0) {penalty = PENALTY.toobig - 3*penalty}
penalty += info.nest * PENALTY.nestfactor;
//
// Get the penalty for this type of break and
// use it to modify the default penalty
//
var linebreak = PENALTY[linebreakValue];
if (linebreakValue === MML.LINEBREAK.AUTO && w >= PENALTY.spacelimit*1000)
{linebreak = [(w+PENALTY.spaceoffset)*PENALTY.spacefactor]}
if (!(linebreak instanceof Array)) {
// for breaks past the width, don't modify penalty
if (offset >= 0) {penalty = linebreak * info.nest}
} else {penalty = Math.max(1,penalty + linebreak[0] * info.nest)}
//
// If the penalty is no better than the current one, return false
// Otherwise save the data for this breakpoint and return true
//
if (penalty >= info.penalty) {return false}
info.penalty = penalty; info.values = values; info.W = W; info.w = w;
values.lineleading = state.VALUES.lineleading;
values.linebreakstyle = "before"; values.last = this;
return true;
}
});
//
// Hook into the mathchoice extension
//
MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function () {
MML.TeXmathchoice.Augment({
SVGbetterBreak: function (info,state) {
return this.Core().SVGbetterBreak(info,state);
},
SVGmoveLine: function (start,end,svg,state,values) {
return this.Core().SVGmoveSlice(start,end,svg,state,values);
}
});
});
//
// Have maction process only the selected item
//
MML.maction.Augment({
SVGbetterBreak: function (info,state) {
return this.Core().SVGbetterBreak(info,state);
},
SVGmoveLine: function (start,end,svg,state,values) {
return this.Core().SVGmoveSlice(start,end,svg,state,values);
},
});
//
// Have semantics only do the first element
// (FIXME: do we need to do anything special about annotation-xml?)
//
MML.semantics.Augment({
SVGbetterBreak: function (info,state) {
return (this.data[0] ? this.data[0].SVGbetterBreak(info,state) : false);
},
SVGmoveLine: function (start,end,svg,state,values) {
return (this.data[0] ? this.data[0].SVGmoveSlice(start,end,svg,state,values) : null);
}
});
/**************************************************************************/
MathJax.Hub.Startup.signal.Post("SVG multiline Ready");
MathJax.Ajax.loadComplete(SVG.autoloadDir+"/multiline.js");
});