/
toMathML.js
764 lines (715 loc) · 31.8 KB
/
toMathML.js
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import toDecimalStringInternal from './toDecimalString.js';
import Polynomial from './Polynomial.js';//TODO:
import Expression from './Expression.js';//TODO:
import NonSimplifiedExpression from './NonSimplifiedExpression.js';//TODO:
//TODO: remove - ?
import Condition from './Condition.js';
//!TODO: remove
Polynomial.prototype.toString = function (options) {
options = options || {};
return this.toExpression(options.polynomialVariable || (new Expression.Symbol("x"))).toString(options);
};
Polynomial.prototype.toMathML = function (options) {
options = options || {};
return this.toExpression(options.polynomialVariable || (new Expression.Symbol("x"))).toMathML(options);
};
Expression.Polynomial.prototype.toString = function (options) {
return this.polynomial.toString(options);
};
Expression.Polynomial.prototype.toMathML = function (options) {
return this.polynomial.toMathML(options);
};
// coefficient - Expression
// variable - Expression
var printPartOfAddition = function (isLast, isFirst, coefficient, variable, options) {
if (coefficient.equals(Expression.ZERO)) {
return (isLast && isFirst ? Expression.ZERO.toMathML() : "");
}
var isNegative = false;
if (coefficient.isNegative() && !isFirst) {
isNegative = true;
coefficient = coefficient.negateCarefully();//?
}
var precedenceOfMultiptication = new Expression.Multiplication(Expression.ZERO, Expression.ZERO).getPrecedence();
var areBracketsRequired = coefficient.getPrecedence() < precedenceOfMultiptication; //?
var c = coefficient.equals(Expression.ONE);
//TODO: fix
return (isFirst ? '' : '') +
(!isFirst && isNegative ? '<mo form="infix">−</mo>' : '') +
(!isFirst && !isNegative ? '<mo form="infix">+</mo>' : '') +
(c ? '' : '<mrow>') +
(c || !areBracketsRequired ? '' : '<mrow><mo>(</mo>') +
(c ? '' : coefficient.toMathML(options)) +
(c || !areBracketsRequired ? '' : '<mo>)</mo></mrow>') +
(c ? '' : '<mo>⋅</mo>') +
variable.toMathML(options) +
(c ? '' : '</mrow>');
};
var decimalToMathML = function (decimal) {
const match = /^([+\-])?(\d+\.?\d*(?:\(\d+\)\d*)?)(?:[eE]\+?(\-?\d+))?$/.exec(decimal);
const groups = {
sign: match[1] || "",
significand: match[2] || "",
exponent: match[3] || ""
};
return (groups.exponent !== "" ? "<mrow>" : "") +
(groups.sign !== "" ? "<mrow>" : "") +
(groups.sign === "+" ? "<mo>+</mo>" : "") +
(groups.sign === "-" ? "<mo>−</mo>" : "") +
"<mn>" + numberFormat.format(groups.significand.replace(/[\(\)]/g, '')).replace(/^[\s\S]+$/g, function (p) {
var a = groups.significand.indexOf('(');
var b = groups.significand.lastIndexOf(')');
if (a === -1 || b === -1) {
return p;
}
const digitLength = numberFormat.format('0').trim().length;
var i = p.length - (groups.significand.length - a - '('.length - ')'.length) * digitLength;
var j = p.length - (groups.significand.length - b - ')'.length) * digitLength;
return p.slice(0, i) + '<span style="text-decoration:overline;">' + p.slice(i, j) + '</span>' + p.slice(j);
}) + "</mn>" +
(groups.sign !== "" ? "</mrow>" : "") +
(groups.exponent !== "" ? "<mo lspace=\"0\" rspace=\"0\">⋅</mo>" + "<msup>" + "<mn>" + numberFormat.format('10') + "</mn>" + decimalToMathML(groups.exponent) + "</msup>" : "") +
(groups.exponent !== "" ? "</mrow>" : "");
};
var complexToMathML = function (real, imaginary) {
if (imaginary.replace(/<[^>]+>/g, '') === '1') {
return '<mrow>' + real + '<mo>+</mo><mi>ⅈ</mi></mrow>';
}
if (imaginary.replace(/<[^>]+>/g, '').replace(/−/g, '-') === '-1') {
return '<mrow>' + real + '<mo>−</mo><mi>ⅈ</mi></mrow>';
}
if (real === '') {
return '<mrow>' + imaginary + '<mo>' + (/<msup>/.test(imaginary) || /[^0-9]/.test(imaginary) ? '⋅' : '⁢') + '</mo><mi>ⅈ</mi></mrow>';
}
var signBetween = '+';
if (/<mrow><mo>−<\/mo><mn>([^<]*)<\/mn><\/mrow>(?!<\/msup>)/.test(imaginary)) {
signBetween = '-';
imaginary = imaginary.replace(/<mrow><mo>−<\/mo><mn>([^<]*)<\/mn><\/mrow>(?!<\/msup>)/g, '<mn>$1</mn>');
}
return '<mrow>' + real + '<mo>' + (signBetween === '-' ? '−' : '+') + '</mo>' + '<mrow>' + imaginary + '<mo>' + (/<msup>/.test(imaginary) || /[^0-9]/.test(imaginary) ? '⋅' : '⁢') + '</mo>' + '<mi>ⅈ</mi>' + '</mrow>' + '</mrow>';
};
Expression._decimalToMathML = decimalToMathML;
Expression._complexToMathML = complexToMathML;
function isConstant(e) {
if (e instanceof Expression.NonSimplifiedExpression) {
return false;
}
if (e instanceof Expression.Matrix) {
return false;
}
if (e instanceof Expression.Polynomial) {
return false;
}
return Expression.isConstant(e);
}
var groupByTerm = function (e) {
if (e instanceof Expression.Division || e instanceof Expression.Addition) {
var numerator = e.getNumerator();
var denominator = e.getDenominator();
//TODO: fix
var denominatorContent = denominator instanceof Expression.Integer ? denominator : (Expression.getMultivariatePolynomial(denominator) || {p: {getContent: function () {return Expression.ONE}}}).p.getContent();
var denominatorRest = denominator.divide(denominatorContent);
if (isConstant(denominatorContent)) {//TODO: fix when the content has multiple variables
var summands = [];
for (var summand of numerator.summands()) {
summands.push(summand);
}
var map = {};//TODO: FIX, test(?)
summands.reverse();
for (var i = 0; i < summands.length; i += 1) {
var summand = summands[i];
//var constant = Expression.getConstant(summand); - ?
var constant = Expression.ONE;
for (var factor of summand.factors()) {
if (isConstant(factor)) {
constant = constant.multiply(factor);
}
}
var term = summand.divide(constant);
var key = "_" + term.toString();
map[key] = map[key] || {
constant: Expression.ZERO,
term: term
};
map[key].constant = map[key].constant.add(constant.divide(denominatorContent));
}
var result = null;
for (var key in map) {
if (Object.prototype.hasOwnProperty.call(map, key)) {
var constant = map[key].constant;
var term = map[key].term;
var s = false;
if (result != null && constant.isNegative()) {
constant = constant.negate();
s = true;
}
var x = new NonSimplifiedExpression(term.equals(Expression.ONE) ? constant : (constant.equals(Expression.ONE) ? map[key].term : new Expression.Multiplication(constant, map[key].term)));
result = result == null ? x : new Expression.Addition(result, s ? new Expression.Multiplication(Expression.ONE.negate(), x) : x);
}
}
if (!denominatorRest.equals(Expression.ONE)) {
result = new Expression.Division(result, denominatorRest);
}
return new NonSimplifiedExpression(result);
}
}
return undefined;
};
var getRounding = function (options) {
var rounding = options != undefined ? options.rounding : undefined;
if (options != undefined && rounding == undefined && options.fractionDigits != undefined && options.fractionDigits !== -1) {
console.debug('deprecated fractionDigits, use rounding instead');
rounding = {fractionDigits: options.fractionDigits};
}
return rounding;
};
//TODO: move
Expression.toDecimalString = function (x, options) {
var rounding = getRounding(options);
if (rounding != null) {
if (isConstant(x)) {
return toDecimalStringInternal(x, rounding, decimalToMathML, complexToMathML);
} else if (!Expression.has(x, NonSimplifiedExpression)) {
var grouped = groupByTerm(x);
if (grouped != undefined) {
return grouped.toMathML(options);
}
}
}
return undefined;
};
var getPrecedence = function (x, options) {
var rounding = getRounding(options);
if (rounding != null && isConstant(x.unwrap()) && Expression.has(x.unwrap(), Expression.Complex)) {
if (!x.unwrap().equals(Expression.I)) {
return new Expression.Addition(Expression.ONE, Expression.ONE).getPrecedence();
}
}
return x.getPrecedence();
};
Expression.idCounter = 0;
Expression.id = function () {
return (Expression.idCounter += 1).toString();
};
//TODO: ?
Expression.escapeHTML = function (s) {
return s.replace(/&/g, "&")
.replace(/"/g, """)
.replace(/</g, "<")
.replace(/>/g, ">");
};
Expression.defaultOptions = {
useMatrixContainer: false
};
Expression.Matrix.prototype.toMathML = function (options) {
var x = this.matrix;
options = Expression.setTopLevel(true, options);
var useMatrixContainer = options.useMatrixContainer == undefined && Expression.defaultOptions.useMatrixContainer ? true : options.useMatrixContainer;
//TODO: fix!
var braces = options.useBraces == undefined ? undefined : options.useBraces;
var columnlines = options.columnlines == undefined ? 0 : options.columnlines;
var variableNames = options.variableNames == undefined ? undefined : options.variableNames;
var verticalStrike = options.verticalStrike == undefined ? -1 : options.verticalStrike;
var horizontalStrike = options.horizontalStrike == undefined ? -1 : options.horizontalStrike;
var cellIdGenerator = options.cellIdGenerator == undefined ? undefined : options.cellIdGenerator;
var pivotCell = options.pivotCell == undefined ? undefined : options.pivotCell;
var isLUDecomposition2 = options.isLUDecomposition2 == undefined ? undefined : options.isLUDecomposition2;
var highlightRow = options.highlightRow == undefined ? -1 : options.highlightRow;
var highlightCol = options.highlightCol == undefined ? -1 : options.highlightCol;
options = Object.assign({}, options, {
useBraces: undefined,
columnlines: undefined,
variableNames: undefined,
verticalStrike: undefined,
horizontalStrike: undefined,
cellIdGenerator: undefined,
pivotCell: undefined,
isLUDecomposition2: undefined,
highlightRow: undefined,
highlightCol: undefined
});
var result = "";
var rows = x.rows();
var cols = x.cols();
var i = -1;
//TODO: remove `Expression.id()`
var containerId = options.idPrefix + "-" + Expression.id();
if (useMatrixContainer) {
result += "<munder accentunder=\"true\">";
result += '<mrow id="' + containerId + '" data-matrix="' + Expression.escapeHTML(x.toString()) + '" draggable="true" tabindex="0" contextmenu="matrix-menu">';
}
result += braces == undefined ? '<mrow><mo>(</mo>' : '<mrow>' + (braces[0] === ' ' ? '' : '<mo>' + braces[0] + '</mo>');
//! 2017-07-06 rowspacing="0ex" was added to make it look better with Native MathML (when it is supported) and to have the same style as in mathml.css
//! rowspacing="0ex" is also needed when verticalStrike !== -1 and <menclose> is used inside
//var useColumnspacing = verticalStrike !== -1 || horizontalStrike !== -1 || pivotCell != undefined || cellIdGenerator != undefined;
//TODO: a11y for menclose[notation="circle"] (?)
result += '<mtable' + (variableNames != undefined ? ' columnalign="right"' : '') + '>';
while (++i < rows) {
var j = -1;
if (variableNames != undefined) {// TODO: fix?
//TODO: use code from polynomialToExpression3 (shared)
var row = "";
var wasNotZero = false;
while (++j < cols - 1) {
// TODO: fix `new Expression.Symbol()`
row += "<mtd>";
row += printPartOfAddition(j === cols - 2, !wasNotZero, x.e(i, j), new Expression.Symbol(variableNames[j]), options);
row += "</mtd>";
wasNotZero = wasNotZero || !x.e(i, j).equals(Expression.ZERO);
}
row += "<mtd><mo>=</mo></mtd><mtd>" + x.e(i, cols - 1).toMathML(options) + "</mtd>";
if (wasNotZero || !x.e(i, cols - 1).equals(Expression.ZERO)) {
result += "<mtr>";
result += row;
result += "</mtr>";
}
} else {
result += "<mtr>";
while (++j < cols) {
var ariaHidden = '';
var style = '';
if (columnlines !== 0 && cols - 1 > 0) {
style += (cols + columnlines === j ? "border-left: 1px solid;" : "");
}
if (pivotCell != undefined && i === pivotCell.i && j === pivotCell.j) {
style += 'border: 1px solid; border-radius: 50%;';
style += 'font-weight: bolder';
}
if (horizontalStrike === i && verticalStrike === j) {
style += 'background: linear-gradient(currentColor, currentColor) no-repeat 50% 0 / 2px auto, linear-gradient(currentColor, currentColor) no-repeat 0 50% / auto 2px; opacity: 0.5';
ariaHidden = 'true';
} else {
if (verticalStrike === j) {
style += 'background: linear-gradient(currentColor, currentColor) no-repeat 50% 0 / 2px auto; opacity: 0.5';
ariaHidden = 'true';
}
if (horizontalStrike === i) {
style += 'background: linear-gradient(currentColor, currentColor) no-repeat 0 50% / auto 2px; opacity: 0.5;';
ariaHidden = 'true';
}
}
var id = (cellIdGenerator != undefined ? cellIdGenerator(i, j) : '');
result += ('<mtd id="' + id + '" aria-hidden="' + ariaHidden + '" style="' + style + '">').replace(/\s+[a-z\-]+\=""/g, '');
// <mpadded> is an extra element, it is too many elements if to use it, which can cause performance problems
// padding is not supported on <mrow> in Firefox
var highlight = j < i && isLUDecomposition2 ||
highlightRow === i && (columnlines === 0 || j <= cols - 1 + columnlines) || highlightCol === j;
if (highlight) {
result += '<mrow style="background: #80FF80; color: #3C78C2">'; //TODO: dark mode
}
result += x.e(i, j).toMathML(options);
if (highlight) {
result += "</mrow>";
}
result += "</mtd>";
}
result += "</mtr>";
}
}
result += "</mtable>";
result += braces == undefined ? '<mo>)</mo></mrow>' : (braces[1] === ' ' ? '' : '<mo>' + braces[1] + '</mo>') + '</mrow>';
if (useMatrixContainer) {
result += '</mrow>';
result += "<mtext>";
result += '<button type="button" class="matrix-menu-show" data-for-matrix="' + containerId + '" aria-haspopup="true" title="' + i18n.matrixMenu.title + '"></button>';
result += "</mtext>";
result += "</munder>";
}
return result;
};
Expression.Determinant.prototype.toMathML = function (options) {
var x = this;
if (x.a instanceof Expression.Matrix || (x.a instanceof NonSimplifiedExpression && x.a.e instanceof Expression.Matrix)) {
options = Object.assign({}, options, {
useBraces: ["|", "|"]
});
//TODO: fix
return x.a.toMathML(options);
}
//return "<mrow><mo>|</mo>" + x.a.toMathML(options) + "<mo>|</mo></mrow>";
return Expression.Function.prototype.toMathML.call(this, options); // det(X)
};
Expression.Transpose.prototype.toMathML = function (options) {
var x = this;
//TODO: ^T ?
// https://www.w3.org/TR/MathML3/chapter4.html#contm.transpose
var f = this.getPrecedence() >= x.a.getPrecedence();
return "<msup>" +
(f ? "<mrow><mo>(</mo>" : "") + x.a.toMathML(options) + (f ? "<mo>)</mo></mrow>" : "") +
"<mi>T</mi>" +
"</msup>";
};
Expression.ComplexConjugate.prototype.toMathML = function (options) {
var x = this;
// https://w3c.github.io/mathml/chapter4-d.html#contm.conjugate
return "<mover accent=\"true\">" +
x.a.toMathML(options) +
"<mo>¯</mo>" +
"</mover>";
};
Expression.Pseudoinverse.prototype.toMathML = function (options) {
var x = this;
var f = this.getPrecedence() >= x.a.getPrecedence();
return "<msup>" +
(f ? "<mrow><mo>(</mo>" : "") + x.a.toMathML(options) + (f ? "<mo>)</mo></mrow>" : "") +
"<mi><span title=\"pseudoinverse\">+</span></mi>" +
"</msup>";
};
Expression.SquareRoot.prototype.toMathML = function (options) {
var d = Expression.toDecimalString(this, options);
if (d != undefined) {
return d;
}
return "<msqrt>" +
this.a.toMathML(Expression.setTopLevel(true, options)) +
"</msqrt>";
};
Expression.NthRoot.prototype.toMathML = function (options) {
var d = Expression.toDecimalString(this, options);
if (d != undefined) {
return d;
}
console.assert(typeof this.n === "number" && Math.floor(this.n) === this.n && this.n >= 3);
return "<mroot>" +
this.a.toMathML(Expression.setTopLevel(true, options)) +
"<mn>" + numberFormat.format(this.n.toString()) + "</mn>" +
"</mroot>";
};
Expression.denotations = {};
Expression.Function.prototype.toMathML = function (options) {
var d = Expression.toDecimalString(this, options);
if (d != undefined) {
return d;
}
var x = this;
var fa = !(x.a instanceof Expression.Matrix) && !(x.a instanceof NonSimplifiedExpression && x.a.e instanceof Expression.Matrix);//?
//TODO: fix
return "<mrow>" +
"<mi>" + (Expression.denotations[x.name] || x.name) + "</mi>" +
"<mo>⁡</mo>" +
(fa ? "<mrow><mo>(</mo>" : "") +
x.a.toMathML(Expression.setTopLevel(true, options)) +
(fa ? "<mo>)</mo></mrow>" : "") +
"</mrow>";
};
Expression.Division.prototype.toMathML = function (options) {
if (options != null && options.nofractions) {
return Expression.BinaryOperation.prototype.toMathML.call(this, options);
}
var d = Expression.toDecimalString(this, options);
if (d != undefined) {
return d;
}
var x = this;
var denominator = x.getDenominator();
var numerator = x.getNumerator();
//???
//if (numerator.isNegative()) {
// return "<mrow><mo>−</mo>" + x.negateCarefully().toMathML(options) + "</mrow>";
//}
return "<mfrac>" +
numerator.toMathML(Expression.setTopLevel(true, options)) +
denominator.toMathML(Expression.setTopLevel(true, options)) +
"</mfrac>";
};
Expression.numberFormat = {
format: function (number) {
return number.toString();
}
};
const decimalNumberRegExp = new RegExp('\\p{Decimal_Number}', 'u');
const replaceSimpleDigit = function (codePoint) {
let i = 0;
while (decimalNumberRegExp.test(String.fromCodePoint(codePoint - i))) {
i += 1;
}
return i === 0 ? -1 : (i - 1) % 10;
};
let cachedFormatData = {
format: null,
decimalSeparator: '.',
decimalZeroOffset: 0
};
// only for non-negative integers without groupping, but large
var numberFormat = {
format: function (string) {
var getDecimalSeparator = function () {
var s = Expression.numberFormat.format(1.5).trim();
var tmp = /[٫,\.]/.exec(s);
if (tmp == null) {
console.error(s);
return '.';
}
return tmp[0];
};
var getDecimalZeroOffset = function () {
var codePoint = Expression.numberFormat.format(0).trim().codePointAt(0);
var isDecimalZero = replaceSimpleDigit(codePoint) === 0;
if (!isDecimalZero) {
console.error(codePoint);
return 0;
}
return codePoint - "0".charCodeAt(0);
};
if (cachedFormatData.format !== Expression.numberFormat) {
cachedFormatData = {
format: Expression.numberFormat,
decimalSeparator: getDecimalSeparator(),
decimalZeroOffset: getDecimalZeroOffset()
};
}
// This method is needed as native Intl.NumberFormat cannot format strings.
// https://github.com/tc39/ecma402/issues/334
var decimalSeparator = string.indexOf('.');
if (decimalSeparator !== -1) {
return numberFormat.format(string.slice(0, decimalSeparator)) + cachedFormatData.decimalSeparator + numberFormat.format(string.slice(decimalSeparator + '.'.length));
}
var decimalZeroOffset = cachedFormatData.decimalZeroOffset;
if (decimalZeroOffset === 0) {
return string;
}
var result = "";
for (var i = 0; i < string.length; i += 1) {
result += String.fromCodePoint(decimalZeroOffset + string.charCodeAt(i));
}
return result;
}
};
Expression.Integer.prototype.toMathML = function (options) {
//var d = Expression.toDecimalString(this, options);
//if (d != undefined) {
// return d;
//}
var x = this;
var sign = x.compareTo(Expression.ZERO) < 0 ? '-' : '';
var abs = x.compareTo(Expression.ZERO) < 0 ? x.negate() : x;
var s = abs.value.toString();
var tmp = numberFormat.format(s);
return sign === "-" ? "<mrow>" + "<mo>−</mo>" + "<mn>" + tmp + "</mn>" + "</mrow>" : "<mn>" + tmp + "</mn>";
};
Expression.BinaryOperation.prototype.toMathML = function (options) {
options = options == null ? {} : options;
if (options != null &&
options.rounding != null &&
this.unwrap() instanceof Expression.Exponentiation &&
this.unwrap().a.unwrap() instanceof Expression.Symbol &&
this.unwrap().a.unwrap() !== Expression.E &&
this.unwrap().a.unwrap() !== Expression.PI &&
!(this.unwrap().a.unwrap() instanceof Expression.PolynomialRootSymbol) &&
!(this.unwrap().a.unwrap() instanceof Expression.ExpressionPolynomialRoot) &&
(this.unwrap().b.unwrap() instanceof Expression.Integer || this.unwrap().b.unwrap() instanceof Expression.Negation && this.unwrap().b.unwrap().b.unwrap() instanceof Expression.Integer)) {
options = Object.assign({}, options, {rounding: null});
}
var d = Expression.toDecimalString(this, options);
if (d != undefined) {
return d;
}
//!2019-05-16
if (this instanceof Expression.Addition && options.printId == undefined) {
var summands = function (e) {
//if (true) { return e.summands(); }
var result = [];
while (e.unwrap() instanceof Expression.Addition) {
result.push(e.unwrap().b);
e = e.unwrap().a;
}
result.push(e);
return result;
};
var s = [];
var b = null;
for (var x of summands(this)) {
if (b != null) {
var n = false;
if (b.isNegative()) {
n = true;
b = b.negateCarefully();
}
var fence = this.getPrecedence() >= getPrecedence(b, options);
fence = fence || b.isUnaryPlusMinus();
s.push((fence ? '<mrow><mo>(</mo>' : '') + b.toMathML(Expression.setTopLevel(fence, options)) + (fence ? '<mo>)</mo></mrow>' : ''));
s.push(n ? '<mo>−</mo>' : '<mo>+</mo>');
}
b = x;
}
s = s.reverse().join('');
var a = b;
var fence = a.getPrecedence() + (a.isRightToLeftAssociative() ? -1 : 0) < this.getPrecedence();
if (options != undefined && options.isTopLevel != undefined && options.isTopLevel === false) {
fence = fence || a.isUnaryPlusMinus();
}
s = (fence ? "<mrow><mo>(</mo>" : "") + a.toMathML(Expression.setTopLevel(fence || options == undefined || options.isTopLevel, options)) + (fence ? "<mo>)</mo></mrow>" : "") + s;
return '<mrow>' + s + '</mrow>';
}
//!
var a = this.a;
var b = this.b;
var isSubtraction = false;
// TODO: check
if (this instanceof Expression.Addition && b.isNegative()) {
isSubtraction = true;
b = b.negateCarefully();//?
}
var fa = a.getPrecedence() + (a.isRightToLeftAssociative() ? -1 : 0) < this.getPrecedence();
var fb = this.getPrecedence() + (this.isRightToLeftAssociative() ? -1 : 0) >= b.getPrecedence();
if (options != undefined && options.isTopLevel != undefined && options.isTopLevel === false) {
fa = fa || a.isUnaryPlusMinus();
}
fb = fb || b.isUnaryPlusMinus();
fb = fb || (this.unwrap() instanceof Expression.Exponentiation && b.unwrap() instanceof Expression.Exponentiation);// 2^3^4
fa = fa || (this.unwrap() instanceof Expression.Exponentiation && a.unwrap() instanceof Expression.Function); // cos(x)^(2+3)
fa = fa || (options.rounding != null && isConstant(a.unwrap()) && Expression.has(a.unwrap(), Expression.Complex)); // sqrt(2)*(1+i)*x
var s = isSubtraction ? "-" : this.getS();
if (this instanceof Expression.Exponentiation) {
if (a.unwrap() === Expression.E && b.unwrap() instanceof Expression.Matrix) {
return '<mrow><mi>exp</mi><mo>⁡</mo>' + b.toMathML(options) + '</mrow>';
}
var boptions = options;
if (!(a.unwrap() instanceof Expression.Matrix)) {
boptions = Object.assign({}, options || {}, {nofractions: true});
}
return "<msup>" +
(fa ? "<mrow><mo>(</mo>" : "") + a.toMathML(Expression.setTopLevel(fa || options == undefined || options.isTopLevel, options)) + (fa ? "<mo>)</mo></mrow>" : "") +
(fb ? "<mrow><mo>(</mo>" : "") + b.toMathML(Expression.setTopLevel(fb, boptions)) + (fb ? "<mo>)</mo></mrow>" : "") +
"</msup>";
}
if (this.isNegation()) {
// assert(fa === false);
return "<mrow><mo>−</mo>" + (fb ? "<mrow><mo>(</mo>" : "") + b.toMathML(Expression.setTopLevel(fb, options)) + (fb ? "<mo>)</mo></mrow>" : "") + "</mrow>";
}
//TODO: fix spaces (matrix parsing)
// × looks better than ⁢ when multiplying matrices (?)
// ⋅ looks better than ×
var isScalarOrMatrixSymbol = function (e) {
return Expression.isScalar(e.unwrap()) || e.unwrap() instanceof Expression.MatrixSymbol;
};
var base = function (e) {
return e instanceof Expression.Exponentiation && (e.b.unwrap() instanceof Expression.Integer || e.b.unwrap() instanceof Expression.Symbol && e.b.unwrap().symbol === "T") ? e.a.unwrap() : e;
};
var canUseInvisibleTimes = function (e) {
return !fa && !fb && (e.a.unwrap() instanceof Expression.Integer || base(e.a.unwrap()) instanceof Expression.Symbol || e.a.unwrap() instanceof Expression.Multiplication && base(e.a.unwrap().b.unwrap()) instanceof Expression.Symbol) && (base(e.b.unwrap()) instanceof Expression.Symbol || options.rounding == null && e.b.unwrap() instanceof Expression.SquareRoot);
//return options.rounding == null && !fa && !fb && isScalarOrMatrixSymbol(e.a) && isScalarOrMatrixSymbol(e.b) && !(e.a instanceof Expression.Integer && (e.b instanceof Expression.Integer || e.b instanceof Expression.Exponentiation && e.b.a instanceof Expression.Integer))
};
//!2020-08-02
if (this instanceof Expression.Multiplication && options.printId == undefined) {
var f = true;
for (var x = this; x != null; x = x instanceof Expression.Multiplication ? x.a.unwrap() : null) {
var factor = x instanceof Expression.Multiplication ? x.b.unwrap() : x;
if (!(base(factor).unwrap() instanceof Expression.Symbol && Expression.isScalar(factor))) {
f = false;
}
if (factor instanceof Expression.ExpressionWithPolynomialRoot) {
f = false; // like a+b*i
}
if (factor instanceof Expression.ExpressionPolynomialRoot) {
f = false;
}
}
if (f) {
var s = [];
for (var x = this; x != null; x = x instanceof Expression.Multiplication ? x.a.unwrap() : null) {
var factor = x instanceof Expression.Multiplication ? x.b.unwrap() : x;
//TODO: fence(?)
s.push(factor.toMathML(Expression.setTopLevel(fence, options)));
}
s = s.reverse().join('<mo>⁢</mo>');
return '<mrow>' + s + '</mrow>';
}
}
return "<mrow>" +
(fa ? "<mrow><mo>(</mo>" : "") + a.toMathML(Expression.setTopLevel(fa || options == undefined || options.isTopLevel, options)) + (fa ? "<mo>)</mo></mrow>" : "") +
(s === '*' ? (canUseInvisibleTimes(this) ? '<mo>⁢</mo>' : '<mo>⋅</mo>') : (s === '-' ? '<mo>−</mo>' : (s === '/' ? '<mo>∕</mo>' : (this instanceof Expression.Comma ? '<mo lspace="0em" rspace="0.55em">' + ',' + '</mo>' : '<mo>' + s + '</mo>')))) +
(fb ? "<mrow><mo>(</mo>" : "") + b.toMathML(Expression.setTopLevel(fb, options)) + (fb ? "<mo>)</mo></mrow>" : "") +
"</mrow>";
};
Expression.Symbol.prototype.toMathML = function (options) {
var x = this;
var s = x.symbol;
var i = s.indexOf("_");
if (i !== -1) {
var indexes = s.slice(i + 1).replace(/^\(|\)$/g, "").split(",");
var indexesMathML = "";
for (var j = 0; j < indexes.length; j += 1) {
indexesMathML += j !== 0 ? "<mo>,</mo>" : "";
indexesMathML += /^\d+$/.exec(indexes[j]) != undefined ? Expression.Integer.fromString(indexes[j]).toMathML() : "<mi>" + indexes[j] + "</mi>";
}
if (indexes.length > 1) {
indexesMathML = "<mrow>" + indexesMathML + "</mrow>";
}
var isVector = this instanceof Expression.MatrixSymbol && /^[a-z]$/.test(s.slice(0, i));
return "<msub>" +
"<mi" + (isVector ? " mathvariant=\"bold-italic\"" : "") + ">" + s.slice(0, i) + "</mi>" +
indexesMathML +
"</msub>";
}
var isVector = this instanceof Expression.MatrixSymbol && /^[a-z]$/.test(s);
return "<mi" + (isVector ? " mathvariant=\"bold-italic\"" : "") + ">" + (this instanceof Expression.IdentityMatrix && typeof i18n !== 'undefined' ? '<span class="dotted-underline" title="' + i18n.identityMatrix + '" aria-label="' + i18n.identityMatrix + '">' + s + '</span>' : s) + "</mi>";
};
Expression.Negation.prototype.toMathML = function (options) {
var b = this.b;
var fb = this.getPrecedence() + (this.isRightToLeftAssociative() ? -1 : 0) >= b.getPrecedence();
fb = fb || b.isUnaryPlusMinus();
// assert(fa === false);
return "<mrow><mo>−</mo>" + (fb ? "<mrow><mo>(</mo>" : "") + b.toMathML(Expression.setTopLevel(fb, options)) + (fb ? "<mo>)</mo></mrow>" : "") + "</mrow>";
};
Expression.Factorial.prototype.toMathML = function (options) {
var n = this.n.unwrap();
var fn = !(n instanceof Expression.Integer && n.compareTo(Expression.ZERO) > 0);
return "<mrow>" + (fn ? "<mrow><mo>(</mo>" : "") + n.toMathML(Expression.setTopLevel(fn, options)) + (fn ? "<mo>)</mo></mrow>" : "") + "<mo>!</mo></mrow>";
};
Condition.prototype.toMathML = function (options) {
if (this === Condition.TRUE || this === Condition.FALSE) {
// 1) no need; 2) no way to distinguish TRUE and FALSE
throw new TypeError();
}
if (this.array.length === 0) {
// assertion
throw new TypeError();
}
var s = '';
for (var i = 0; i < this.array.length; i += 1) {
var c = this.array[i];
s += (i !== 0 ? '<mo lspace="0em" rspace="0.55em">,</mo>' : '');
s += '<mrow>';
var operator = '<mo>' + (c.operator === Condition.NEZ ? '≠' : (c.operator === Condition.EQZ ? '=' : (c.operator === Condition.GTZ ? '>' : '???'))) + '</mo>';
if (c.expression instanceof Expression.Addition && c.expression.a instanceof Expression.Symbol && c.expression.b instanceof Expression.Integer) {//TODO: ?
var left = c.expression.a;
var right = c.expression.b.negate();
s += left.toMathML(options) + operator + right.toMathML(options);
} else {
s += c.expression.toMathML(options) + operator + Expression.ZERO.toMathML();
}
s += '</mrow>';
}
return this.array.length === 1 ? s : '<mrow>' + s + '</mrow>';
};
Expression.Complex.prototype.toMathML = function (options) {
return this.toStringInternal(options, "<mo>⁢</mo>", "<mi>ⅈ</mi>", "<mo>−</mo>", "<mo>+</mo>", "<mrow>", "</mrow>", function (x, options) { return x.toMathML(options); });
};
Expression.GF2.prototype.toMathML = function (options) {
//TODO: fix
return this.a.toMathML(options);
};
Expression.GF2Value.prototype.toMathML = function (options) {
return "<mrow>" + "<mn>" + this.value.toString() + "</mn>" + "</mrow>";
};
Expression.Degrees.prototype.toMathML = function (options) {
return "<mrow>" + this.value.toMathML(options) + "<mo>⁢</mo><mi>°</mi></mrow>";
};
Expression.Radians.prototype.toMathML = function (options) {
return "<mrow>" + this.value.toMathML(options) + "<mo>⁢</mo><mi>rad</mi></mrow>";
};
NonSimplifiedExpression.prototype.toMathML = function (options) {
//?
//options = options.rounding != null ? Object.assign({}, options, {rounding: null}) : options;
if (options != null && options.printId != undefined) {
return "<mrow id=\"" + this.getId() + "\">" + this.e.toMathML(options) + "</mrow>";
}
return this.e.toMathML(options);
};
Expression.prototype.toMathML = function (options) {
throw new TypeError();
};
Expression.DecimalFraction.prototype.toMathML = function (options) {
return decimalToMathML(this.toString());
};