scribble-math/functions.js
Emily Eisenberg f52c84c187 Add limit operators
Summary:
Add support for all of the other operators, including the ones with symbols and
limits. This also fixes the bug where subscripts were shifted the same amount as
subscripts.

To accomplish this, the domTree.textNode has been repurposed into symbolNode
which is no longer an actual text node, but instead represents an element with a
single symbol in it. This lets us access properties like the italic correction
of a symbol in a reasonable manner without having to recursively look through
children of spans.

Depends on D13082

Fixes #8

Test Plan:
 - Make sure tests work
 - Make sure huxley screenshots didn't change much, and new screenshot looks good

Reviewers: alpert

Reviewed By: alpert

Differential Revision: http://phabricator.khanacademy.org/D13122
2014-09-12 14:58:58 -07:00

425 lines
13 KiB
JavaScript

var utils = require("./utils");
var ParseError = require("./ParseError");
// This file contains a list of functions that we parse. The functions map
// contains the following data:
/*
* Keys are the name of the functions to parse
* The data contains the following keys:
* - numArgs: The number of arguments the function takes.
* - argTypes: (optional) An array corresponding to each argument of the
* function, giving the type of argument that should be parsed.
* Valid types:
* - "size": A size-like thing, such as "1em" or "5ex"
* - "color": An html color, like "#abc" or "blue"
* - "original": The same type as the environment that the
* function being parsed is in (e.g. used for the
* bodies of functions like \color where the first
* argument is special and the second argument is
* parsed normally)
* Other possible types (probably shouldn't be used)
* - "text": Text-like (e.g. \text)
* - "math": Normal math
* If undefined, this will be treated as an appropriate length
* array of "original" strings
* - greediness: (optional) The greediness of the function to use ungrouped
* arguments.
*
* E.g. if you have an expression
* \sqrt \frac 1 2
* since \frac has greediness=2 vs \sqrt's greediness=1, \frac
* will use the two arguments '1' and '2' as its two arguments,
* then that whole function will be used as the argument to
* \sqrt. On the other hand, the expressions
* \frac \frac 1 2 3
* and
* \frac \sqrt 1 2
* will fail because \frac and \frac have equal greediness
* and \sqrt has a lower greediness than \frac respectively. To
* make these parse, we would have to change them to:
* \frac {\frac 1 2} 3
* and
* \frac {\sqrt 1} 2
*
* The default value is `1`
* - allowedInText: (optional) Whether or not the function is allowed inside
* text mode (default false)
* - handler: The function that is called to handle this function and its
* arguments. The arguments are:
* - func: the text of the function
* - [args]: the next arguments are the arguments to the function,
* of which there are numArgs of them
* - positions: the positions in the overall string of the function
* and the arguments. Should only be used to produce
* error messages
* The function should return an object with the following keys:
* - type: The type of element that this is. This is then used in
* buildTree to determine which function should be called
* to build this node into a DOM node
* Any other data can be added to the object, which will be passed
* in to the function in buildTree as `group.value`.
*/
var functions = {
// A normal square root
"\\sqrt": {
numArgs: 1,
handler: function(func, body) {
return {
type: "sqrt",
body: body
};
}
},
// Some non-mathy text
"\\text": {
numArgs: 1,
argTypes: ["text"],
greediness: 2,
handler: function(func, body) {
// Since the corresponding buildTree function expects a list of
// elements, we normalize for different kinds of arguments
// TODO(emily): maybe this should be done somewhere else
var inner;
if (body.type === "ordgroup") {
inner = body.value;
} else {
inner = [body];
}
return {
type: "text",
body: inner
};
}
},
// A two-argument custom color
"\\color": {
numArgs: 2,
allowedInText: true,
argTypes: ["color", "original"],
handler: function(func, color, body) {
// Normalize the different kinds of bodies (see \text above)
var inner;
if (body.type === "ordgroup") {
inner = body.value;
} else {
inner = [body];
}
return {
type: "color",
color: color.value,
value: inner
};
}
},
// An overline
"\\overline": {
numArgs: 1,
handler: function(func, body) {
return {
type: "overline",
body: body
};
}
},
// A box of the width and height
"\\rule": {
numArgs: 2,
argTypes: ["size", "size"],
handler: function(func, width, height) {
return {
type: "rule",
width: width.value,
height: height.value
};
}
},
// A KaTeX logo
"\\KaTeX": {
numArgs: 0,
handler: function(func) {
return {
type: "katex"
};
}
}
};
// Extra data needed for the delimiter handler down below
var delimiterSizes = {
"\\bigl" : {type: "open", size: 1},
"\\Bigl" : {type: "open", size: 2},
"\\biggl": {type: "open", size: 3},
"\\Biggl": {type: "open", size: 4},
"\\bigr" : {type: "close", size: 1},
"\\Bigr" : {type: "close", size: 2},
"\\biggr": {type: "close", size: 3},
"\\Biggr": {type: "close", size: 4},
"\\bigm" : {type: "rel", size: 1},
"\\Bigm" : {type: "rel", size: 2},
"\\biggm": {type: "rel", size: 3},
"\\Biggm": {type: "rel", size: 4},
"\\big" : {type: "textord", size: 1},
"\\Big" : {type: "textord", size: 2},
"\\bigg" : {type: "textord", size: 3},
"\\Bigg" : {type: "textord", size: 4}
};
var delimiters = [
"(", ")", "[", "\\lbrack", "]", "\\rbrack",
"\\{", "\\lbrace", "\\}", "\\rbrace",
"\\lfloor", "\\rfloor", "\\lceil", "\\rceil",
"<", ">", "\\langle", "\\rangle",
"/", "\\backslash",
"|", "\\vert", "\\|", "\\Vert",
"\\uparrow", "\\Uparrow",
"\\downarrow", "\\Downarrow",
"\\updownarrow", "\\Updownarrow",
"."
];
/*
* This is a list of functions which each have the same function but have
* different names so that we don't have to duplicate the data a bunch of times.
* Each element in the list is an object with the following keys:
* - funcs: A list of function names to be associated with the data
* - data: An objecty with the same data as in each value of the `function`
* table above
*/
var duplicatedFunctions = [
// Single-argument color functions
{
funcs: [
"\\blue", "\\orange", "\\pink", "\\red",
"\\green", "\\gray", "\\purple"
],
data: {
numArgs: 1,
allowedInText: true,
handler: function(func, body) {
var atoms;
if (body.type === "ordgroup") {
atoms = body.value;
} else {
atoms = [body];
}
return {
type: "color",
color: "katex-" + func.slice(1),
value: atoms
};
}
}
},
// There are 2 flags for operators; whether they produce limits in
// displaystyle, and whether they are symbols and should grow in
// displaystyle. These four groups cover the four possible choices.
// No limits, not symbols
{
funcs: [
"\\arcsin", "\\arccos", "\\arctan", "\\arg", "\\cos", "\\cosh",
"\\cot", "\\coth", "\\csc", "\\deg", "\\dim", "\\exp", "\\hom",
"\\ker", "\\lg", "\\ln", "\\log", "\\sec", "\\sin", "\\sinh",
"\\tan","\\tanh"
],
data: {
numArgs: 0,
handler: function(func) {
return {
type: "op",
limits: false,
symbol: false,
body: func
};
}
}
},
// Limits, not symbols
{
funcs: [
"\\det", "\\gcd", "\\inf", "\\lim", "\\liminf", "\\limsup", "\\max",
"\\min", "\\Pr", "\\sup"
],
data: {
numArgs: 0,
handler: function(func) {
return {
type: "op",
limits: true,
symbol: false,
body: func
};
}
}
},
// No limits, symbols
{
funcs: [
"\\int", "\\iint", "\\iiint", "\\oint"
],
data: {
numArgs: 0,
handler: function(func) {
return {
type: "op",
limits: false,
symbol: true,
body: func
};
}
}
},
// Limits, symbols
{
funcs: [
"\\coprod", "\\bigvee", "\\bigwedge", "\\biguplus", "\\bigcap",
"\\bigcup", "\\intop", "\\prod", "\\sum", "\\bigotimes",
"\\bigoplus", "\\bigodot", "\\bigsqcup", "\\smallint"
],
data: {
numArgs: 0,
handler: function(func) {
return {
type: "op",
limits: true,
symbol: true,
body: func
};
}
}
},
// Fractions
{
funcs: ["\\dfrac", "\\frac", "\\tfrac"],
data: {
numArgs: 2,
greediness: 2,
handler: function(func, numer, denom) {
return {
type: "frac",
numer: numer,
denom: denom,
size: func.slice(1)
};
}
}
},
// Left and right overlap functions
{
funcs: ["\\llap", "\\rlap"],
data: {
numArgs: 1,
allowedInText: true,
handler: function(func, body) {
return {
type: func.slice(1),
body: body
};
}
}
},
// Delimiter functions
{
funcs: [
"\\bigl", "\\Bigl", "\\biggl", "\\Biggl",
"\\bigr", "\\Bigr", "\\biggr", "\\Biggr",
"\\bigm", "\\Bigm", "\\biggm", "\\Biggm",
"\\big", "\\Big", "\\bigg", "\\Bigg",
"\\left", "\\right"
],
data: {
numArgs: 1,
handler: function(func, delim, positions) {
if (!utils.contains(delimiters, delim.value)) {
throw new ParseError(
"Invalid delimiter: '" + delim.value + "' after '" +
func + "'",
this.lexer, positions[1]);
}
// left and right are caught somewhere in Parser.js, which is
// why this data doesn't match what is in buildTree
if (func === "\\left" || func === "\\right") {
return {
type: "leftright",
value: delim.value
};
} else {
return {
type: "delimsizing",
size: delimiterSizes[func].size,
delimType: delimiterSizes[func].type,
value: delim.value
};
}
}
}
},
// Sizing functions (handled in Parser.js explicitly, hence no handler)
{
funcs: [
"\\tiny", "\\scriptsize", "\\footnotesize", "\\small",
"\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"
],
data: {
numArgs: 0
}
},
// Style changing functions (handled in Parser.js explicitly, hence no
// handler)
{
funcs: [
"\\displaystyle", "\\textstyle", "\\scriptstyle",
"\\scriptscriptstyle"
],
data: {
numArgs: 0
}
}
];
var addFuncsWithData = function(funcs, data) {
for (var i = 0; i < funcs.length; i++) {
functions[funcs[i]] = data;
}
};
// Add all of the functions in duplicatedFunctions to the functions map
for (var i = 0; i < duplicatedFunctions.length; i++) {
addFuncsWithData(duplicatedFunctions[i].funcs, duplicatedFunctions[i].data);
}
// Returns the greediness of a given function. Since greediness is optional, we
// use this function to put in the default value if it is undefined.
var getGreediness = function(func) {
if (functions[func].greediness === undefined) {
return 1;
} else {
return functions[func].greediness;
}
};
module.exports = {
funcs: functions,
getGreediness: getGreediness
};