
This adds \lgroup, \rgroup, \lmoustache and \rmoustache, provides \lVert and \rVert with the correct type for each, and makes \lvert, \rvert, \lVert and \rVert available through \left...\right.
597 lines
19 KiB
JavaScript
597 lines
19 KiB
JavaScript
var utils = require("./utils");
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var ParseError = require("./ParseError");
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// This file contains a list of functions that we parse. The functions map
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// contains the following data:
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/*
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* Keys are the name of the functions to parse
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* The data contains the following keys:
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* - numArgs: The number of arguments the function takes.
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* - argTypes: (optional) An array corresponding to each argument of the
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* function, giving the type of argument that should be parsed. Its
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* length should be equal to `numArgs + numOptionalArgs`. Valid
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* types:
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* - "size": A size-like thing, such as "1em" or "5ex"
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* - "color": An html color, like "#abc" or "blue"
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* - "original": The same type as the environment that the
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* function being parsed is in (e.g. used for the
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* bodies of functions like \color where the first
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* argument is special and the second argument is
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* parsed normally)
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* Other possible types (probably shouldn't be used)
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* - "text": Text-like (e.g. \text)
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* - "math": Normal math
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* If undefined, this will be treated as an appropriate length
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* array of "original" strings
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* - greediness: (optional) The greediness of the function to use ungrouped
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* arguments.
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*
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* E.g. if you have an expression
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* \sqrt \frac 1 2
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* since \frac has greediness=2 vs \sqrt's greediness=1, \frac
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* will use the two arguments '1' and '2' as its two arguments,
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* then that whole function will be used as the argument to
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* \sqrt. On the other hand, the expressions
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* \frac \frac 1 2 3
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* and
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* \frac \sqrt 1 2
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* will fail because \frac and \frac have equal greediness
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* and \sqrt has a lower greediness than \frac respectively. To
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* make these parse, we would have to change them to:
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* \frac {\frac 1 2} 3
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* and
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* \frac {\sqrt 1} 2
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*
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* The default value is `1`
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* - allowedInText: (optional) Whether or not the function is allowed inside
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* text mode (default false)
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* - numOptionalArgs: (optional) The number of optional arguments the function
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* should parse. If the optional arguments aren't found,
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* `null` will be passed to the handler in their place.
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* (default 0)
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* - handler: The function that is called to handle this function and its
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* arguments. The arguments are:
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* - func: the text of the function
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* - [args]: the next arguments are the arguments to the function,
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* of which there are numArgs of them
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* - positions: the positions in the overall string of the function
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* and the arguments. Should only be used to produce
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* error messages
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* The function should return an object with the following keys:
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* - type: The type of element that this is. This is then used in
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* buildHTML/buildMathML to determine which function
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* should be called to build this node into a DOM node
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* Any other data can be added to the object, which will be passed
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* in to the function in buildHTML/buildMathML as `group.value`.
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*/
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var functions = {
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// A normal square root
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"\\sqrt": {
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numArgs: 1,
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numOptionalArgs: 1,
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handler: function(func, index, body, positions) {
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return {
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type: "sqrt",
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body: body,
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index: index
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};
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}
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},
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// Some non-mathy text
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"\\text": {
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numArgs: 1,
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argTypes: ["text"],
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greediness: 2,
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handler: function(func, body) {
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// Since the corresponding buildHTML/buildMathML function expects a
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// list of elements, we normalize for different kinds of arguments
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// TODO(emily): maybe this should be done somewhere else
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var inner;
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if (body.type === "ordgroup") {
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inner = body.value;
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} else {
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inner = [body];
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}
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return {
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type: "text",
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body: inner
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};
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}
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},
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// A two-argument custom color
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"\\color": {
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numArgs: 2,
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allowedInText: true,
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greediness: 3,
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argTypes: ["color", "original"],
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handler: function(func, color, body) {
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// Normalize the different kinds of bodies (see \text above)
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var inner;
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if (body.type === "ordgroup") {
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inner = body.value;
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} else {
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inner = [body];
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}
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return {
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type: "color",
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color: color.value,
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value: inner
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};
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}
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},
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// An overline
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"\\overline": {
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numArgs: 1,
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handler: function(func, body) {
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return {
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type: "overline",
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body: body
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};
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}
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},
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// A box of the width and height
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"\\rule": {
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numArgs: 2,
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numOptionalArgs: 1,
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argTypes: ["size", "size", "size"],
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handler: function(func, shift, width, height) {
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return {
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type: "rule",
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shift: shift && shift.value,
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width: width.value,
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height: height.value
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};
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}
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},
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// A KaTeX logo
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"\\KaTeX": {
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numArgs: 0,
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handler: function(func) {
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return {
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type: "katex"
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};
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}
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},
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"\\phantom": {
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numArgs: 1,
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handler: function(func, body) {
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var inner;
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if (body.type === "ordgroup") {
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inner = body.value;
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} else {
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inner = [body];
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}
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return {
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type: "phantom",
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value: inner
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};
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}
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}
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};
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// Extra data needed for the delimiter handler down below
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var delimiterSizes = {
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"\\bigl" : {type: "open", size: 1},
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"\\Bigl" : {type: "open", size: 2},
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"\\biggl": {type: "open", size: 3},
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"\\Biggl": {type: "open", size: 4},
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"\\bigr" : {type: "close", size: 1},
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"\\Bigr" : {type: "close", size: 2},
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"\\biggr": {type: "close", size: 3},
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"\\Biggr": {type: "close", size: 4},
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"\\bigm" : {type: "rel", size: 1},
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"\\Bigm" : {type: "rel", size: 2},
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"\\biggm": {type: "rel", size: 3},
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"\\Biggm": {type: "rel", size: 4},
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"\\big" : {type: "textord", size: 1},
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"\\Big" : {type: "textord", size: 2},
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"\\bigg" : {type: "textord", size: 3},
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"\\Bigg" : {type: "textord", size: 4}
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};
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var delimiters = [
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"(", ")", "[", "\\lbrack", "]", "\\rbrack",
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"\\{", "\\lbrace", "\\}", "\\rbrace",
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"\\lfloor", "\\rfloor", "\\lceil", "\\rceil",
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"<", ">", "\\langle", "\\rangle",
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"\\lvert", "\\rvert", "\\lVert", "\\rVert",
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"\\lgroup", "\\rgroup", "\\lmoustache", "\\rmoustache",
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"/", "\\backslash",
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"|", "\\vert", "\\|", "\\Vert",
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"\\uparrow", "\\Uparrow",
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"\\downarrow", "\\Downarrow",
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"\\updownarrow", "\\Updownarrow",
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"."
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];
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/*
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* This is a list of functions which each have the same function but have
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* different names so that we don't have to duplicate the data a bunch of times.
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* Each element in the list is an object with the following keys:
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* - funcs: A list of function names to be associated with the data
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* - data: An objecty with the same data as in each value of the `function`
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* table above
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*/
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var duplicatedFunctions = [
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// Single-argument color functions
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{
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funcs: [
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"\\blue", "\\orange", "\\pink", "\\red",
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"\\green", "\\gray", "\\purple",
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"\\blueA", "\\blueB", "\\blueC", "\\blueD", "\\blueE",
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"\\tealA", "\\tealB", "\\tealC", "\\tealD", "\\tealE",
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"\\greenA", "\\greenB", "\\greenC", "\\greenD", "\\greenE",
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"\\goldA", "\\goldB", "\\goldC", "\\goldD", "\\goldE",
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"\\redA", "\\redB", "\\redC", "\\redD", "\\redE",
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"\\maroonA", "\\maroonB", "\\maroonC", "\\maroonD", "\\maroonE",
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"\\purpleA", "\\purpleB", "\\purpleC", "\\purpleD", "\\purpleE",
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"\\mintA", "\\mintB", "\\mintC",
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"\\grayA", "\\grayB", "\\grayC", "\\grayD", "\\grayE",
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"\\grayF", "\\grayG", "\\grayH", "\\grayI",
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"\\kaBlue", "\\kaGreen"
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],
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data: {
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numArgs: 1,
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allowedInText: true,
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greediness: 3,
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handler: function(func, body) {
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var atoms;
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if (body.type === "ordgroup") {
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atoms = body.value;
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} else {
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atoms = [body];
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}
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return {
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type: "color",
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color: "katex-" + func.slice(1),
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value: atoms
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};
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}
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}
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},
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// There are 2 flags for operators; whether they produce limits in
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// displaystyle, and whether they are symbols and should grow in
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// displaystyle. These four groups cover the four possible choices.
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// No limits, not symbols
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{
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funcs: [
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"\\arcsin", "\\arccos", "\\arctan", "\\arg", "\\cos", "\\cosh",
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"\\cot", "\\coth", "\\csc", "\\deg", "\\dim", "\\exp", "\\hom",
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"\\ker", "\\lg", "\\ln", "\\log", "\\sec", "\\sin", "\\sinh",
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"\\tan","\\tanh"
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],
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data: {
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numArgs: 0,
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handler: function(func) {
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return {
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type: "op",
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limits: false,
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symbol: false,
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body: func
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};
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}
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}
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},
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// Limits, not symbols
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{
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funcs: [
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"\\det", "\\gcd", "\\inf", "\\lim", "\\liminf", "\\limsup", "\\max",
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"\\min", "\\Pr", "\\sup"
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],
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data: {
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numArgs: 0,
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handler: function(func) {
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return {
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type: "op",
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limits: true,
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symbol: false,
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body: func
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};
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}
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}
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},
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// No limits, symbols
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{
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funcs: [
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"\\int", "\\iint", "\\iiint", "\\oint"
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],
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data: {
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numArgs: 0,
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handler: function(func) {
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return {
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type: "op",
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limits: false,
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symbol: true,
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body: func
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};
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}
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}
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},
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// Limits, symbols
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{
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funcs: [
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"\\coprod", "\\bigvee", "\\bigwedge", "\\biguplus", "\\bigcap",
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"\\bigcup", "\\intop", "\\prod", "\\sum", "\\bigotimes",
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"\\bigoplus", "\\bigodot", "\\bigsqcup", "\\smallint"
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],
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data: {
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numArgs: 0,
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handler: function(func) {
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return {
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type: "op",
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limits: true,
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symbol: true,
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body: func
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};
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}
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}
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},
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// Fractions
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{
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funcs: [
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"\\dfrac", "\\frac", "\\tfrac",
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"\\dbinom", "\\binom", "\\tbinom"
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],
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data: {
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numArgs: 2,
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greediness: 2,
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handler: function(func, numer, denom) {
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var hasBarLine;
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var leftDelim = null;
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var rightDelim = null;
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var size = "auto";
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switch (func) {
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case "\\dfrac":
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case "\\frac":
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case "\\tfrac":
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hasBarLine = true;
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break;
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case "\\dbinom":
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case "\\binom":
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case "\\tbinom":
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hasBarLine = false;
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leftDelim = "(";
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rightDelim = ")";
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break;
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default:
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throw new Error("Unrecognized genfrac command");
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}
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switch (func) {
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case "\\dfrac":
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case "\\dbinom":
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size = "display";
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break;
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case "\\tfrac":
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case "\\tbinom":
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size = "text";
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break;
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}
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return {
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type: "genfrac",
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numer: numer,
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denom: denom,
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hasBarLine: hasBarLine,
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leftDelim: leftDelim,
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rightDelim: rightDelim,
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size: size
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};
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}
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}
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},
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// Left and right overlap functions
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{
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funcs: ["\\llap", "\\rlap"],
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data: {
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numArgs: 1,
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allowedInText: true,
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handler: function(func, body) {
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return {
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type: func.slice(1),
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body: body
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};
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}
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}
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},
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// Delimiter functions
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{
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funcs: [
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"\\bigl", "\\Bigl", "\\biggl", "\\Biggl",
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"\\bigr", "\\Bigr", "\\biggr", "\\Biggr",
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"\\bigm", "\\Bigm", "\\biggm", "\\Biggm",
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"\\big", "\\Big", "\\bigg", "\\Bigg",
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"\\left", "\\right"
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],
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data: {
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numArgs: 1,
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handler: function(func, delim, positions) {
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if (!utils.contains(delimiters, delim.value)) {
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throw new ParseError(
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"Invalid delimiter: '" + delim.value + "' after '" +
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func + "'",
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this.lexer, positions[1]);
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}
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// \left and \right are caught somewhere in Parser.js, which is
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// why this data doesn't match what is in buildHTML.
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if (func === "\\left" || func === "\\right") {
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return {
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type: "leftright",
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value: delim.value
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};
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} else {
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return {
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type: "delimsizing",
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size: delimiterSizes[func].size,
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delimType: delimiterSizes[func].type,
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value: delim.value
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};
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}
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}
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}
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},
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// Sizing functions (handled in Parser.js explicitly, hence no handler)
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{
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funcs: [
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"\\tiny", "\\scriptsize", "\\footnotesize", "\\small",
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"\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"
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],
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data: {
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numArgs: 0
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}
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},
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// Style changing functions (handled in Parser.js explicitly, hence no
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// handler)
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{
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funcs: [
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"\\displaystyle", "\\textstyle", "\\scriptstyle",
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"\\scriptscriptstyle"
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],
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data: {
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numArgs: 0
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}
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},
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// Accents
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{
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funcs: [
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"\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve",
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"\\check", "\\hat", "\\vec", "\\dot"
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// We don't support expanding accents yet
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// "\\widetilde", "\\widehat"
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],
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data: {
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numArgs: 1,
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handler: function(func, base) {
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return {
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type: "accent",
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accent: func,
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base: base
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};
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}
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}
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},
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// Infix generalized fractions
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{
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funcs: ["\\over", "\\choose"],
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data: {
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numArgs: 0,
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handler: function (func) {
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var replaceWith;
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switch (func) {
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case "\\over":
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replaceWith = "\\frac";
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break;
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case "\\choose":
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replaceWith = "\\binom";
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break;
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default:
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throw new Error("Unrecognized infix genfrac command");
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}
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return {
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type: "infix",
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replaceWith: replaceWith
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};
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}
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}
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},
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// Row breaks for aligned data
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{
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funcs: ["\\\\", "\\cr"],
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data: {
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numArgs: 0,
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numOptionalArgs: 1,
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argTypes: ["size"],
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handler: function(func, size) {
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return {
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type: "cr",
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size: size
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};
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}
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}
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},
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// Environment delimiters
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{
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funcs: ["\\begin", "\\end"],
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data: {
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numArgs: 1,
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argTypes: ["text"],
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handler: function(func, nameGroup, positions) {
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if (nameGroup.type !== "ordgroup") {
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throw new ParseError(
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"Invalid environment name",
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this.lexer, positions[1]);
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}
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var name = "";
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for (var i = 0; i < nameGroup.value.length; ++i) {
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name += nameGroup.value[i].value;
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}
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return {
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type: "environment",
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name: name,
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namepos: positions[1]
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};
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}
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}
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}
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];
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var addFuncsWithData = function(funcs, data) {
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for (var i = 0; i < funcs.length; i++) {
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functions[funcs[i]] = data;
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}
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};
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// Add all of the functions in duplicatedFunctions to the functions map
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for (var i = 0; i < duplicatedFunctions.length; i++) {
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addFuncsWithData(duplicatedFunctions[i].funcs, duplicatedFunctions[i].data);
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}
|
|
|
|
// Set default values of functions
|
|
for (var f in functions) {
|
|
if (functions.hasOwnProperty(f)) {
|
|
var func = functions[f];
|
|
|
|
functions[f] = {
|
|
numArgs: func.numArgs,
|
|
argTypes: func.argTypes,
|
|
greediness: (func.greediness === undefined) ? 1 : func.greediness,
|
|
allowedInText: func.allowedInText ? func.allowedInText : false,
|
|
numOptionalArgs: (func.numOptionalArgs === undefined) ? 0 :
|
|
func.numOptionalArgs,
|
|
handler: func.handler
|
|
};
|
|
}
|
|
}
|
|
|
|
module.exports = {
|
|
funcs: functions
|
|
};
|