scribble-math/test/katex-tests.js
Emily Eisenberg 925c96dbe2 Add square roots (\sqrt)
Summary:
Follow the TeXbook instructions on how to construct square roots. Using
makeCustomSizedDelim, this becomes nearly trivial.

Test Plan:
 - Make sure normal tests work
 - Make sure the new huxley test looks good, and other huxley tests haven't changed.

Reviewers: alpert

Reviewed By: alpert

Differential Revision: http://phabricator.khanacademy.org/D12918
2014-09-06 15:08:23 -07:00

824 lines
22 KiB
JavaScript

var buildTree = require("../buildTree");
var parseTree = require("../parseTree");
describe("A parser", function() {
it("should not fail on an empty string", function() {
expect(function() {
parseTree("");
}).not.toThrow();
});
it("should ignore whitespace", function() {
var parseA = parseTree(" x y ");
var parseB = parseTree("xy");
expect(parseA).toEqual(parseB);
});
});
describe("An ord parser", function() {
var expression = "1234|/@.\"`abcdefgzABCDEFGZ";
it("should not fail", function() {
expect(function() {
parseTree(expression);
}).not.toThrow();
});
it("should build a list of ords", function() {
var parse = parseTree(expression);
expect(parse).toBeTruthy();
for (var i = 0; i < parse.length; i++) {
var group = parse[i];
expect(group.type).toMatch("ord");
}
});
it("should parse the right number of ords", function() {
var parse = parseTree(expression);
expect(parse.length).toBe(expression.length);
});
});
describe("A bin parser", function() {
var expression = "+-*\\cdot\\pm\\div";
it("should not fail", function() {
expect(function() {
parseTree(expression);
}).not.toThrow();
});
it("should build a list of bins", function() {
var parse = parseTree(expression);
expect(parse).toBeTruthy();
for (var i = 0; i < parse.length; i++) {
var group = parse[i];
expect(group.type).toMatch("bin");
}
});
});
describe("A rel parser", function() {
var expression = "=<>\\leq\\geq\\neq\\nleq\\ngeq\\cong";
it("should not fail", function() {
expect(function() {
parseTree(expression);
}).not.toThrow();
});
it("should build a list of rels", function() {
var parse = parseTree(expression);
expect(parse).toBeTruthy();
for (var i = 0; i < parse.length; i++) {
var group = parse[i];
expect(group.type).toMatch("rel");
}
});
});
describe("A punct parser", function() {
var expression = ",;\\colon";
it("should not fail", function() {
expect(function() {
parseTree(expression);
}).not.toThrow();
});
it("should build a list of puncts", function() {
var parse = parseTree(expression);
expect(parse).toBeTruthy();
for (var i = 0; i < parse.length; i++) {
var group = parse[i];
expect(group.type).toMatch("punct");
}
});
});
describe("An open parser", function() {
var expression = "([";
it("should not fail", function() {
expect(function() {
parseTree(expression);
}).not.toThrow();
});
it("should build a list of opens", function() {
var parse = parseTree(expression);
expect(parse).toBeTruthy();
for (var i = 0; i < parse.length; i++) {
var group = parse[i];
expect(group.type).toMatch("open");
}
});
});
describe("A close parser", function() {
var expression = ")]?!";
it("should not fail", function() {
expect(function() {
parseTree(expression);
}).not.toThrow();
});
it("should build a list of closes", function() {
var parse = parseTree(expression);
expect(parse).toBeTruthy();
for (var i = 0; i < parse.length; i++) {
var group = parse[i];
expect(group.type).toMatch("close");
}
});
});
describe("A subscript and superscript parser", function() {
it("should not fail on superscripts", function() {
expect(function() {
parseTree("x^2");
}).not.toThrow();
});
it("should not fail on subscripts", function() {
expect(function() {
parseTree("x_3");
}).not.toThrow();
});
it("should not fail on both subscripts and superscripts", function() {
expect(function() {
parseTree("x^2_3");
}).not.toThrow();
expect(function() {
parseTree("x_2^3");
}).not.toThrow();
});
it("should not fail when there is no nucleus", function() {
expect(function() {
parseTree("^3");
}).not.toThrow();
expect(function() {
parseTree("_2");
}).not.toThrow();
expect(function() {
parseTree("^3_2");
}).not.toThrow();
expect(function() {
parseTree("_2^3");
}).not.toThrow();
});
it("should produce supsubs for superscript", function() {
var parse = parseTree("x^2")[0];
expect(parse.type).toBe("supsub");
expect(parse.value.base).toBeDefined();
expect(parse.value.sup).toBeDefined();
expect(parse.value.sub).toBeUndefined();
});
it("should produce supsubs for subscript", function() {
var parse = parseTree("x_3")[0];
expect(parse.type).toBe("supsub");
expect(parse.value.base).toBeDefined();
expect(parse.value.sub).toBeDefined();
expect(parse.value.sup).toBeUndefined();
});
it("should produce supsubs for ^_", function() {
var parse = parseTree("x^2_3")[0];
expect(parse.type).toBe("supsub");
expect(parse.value.base).toBeDefined();
expect(parse.value.sup).toBeDefined();
expect(parse.value.sub).toBeDefined();
});
it("should produce supsubs for _^", function() {
var parse = parseTree("x_3^2")[0];
expect(parse.type).toBe("supsub");
expect(parse.value.base).toBeDefined();
expect(parse.value.sup).toBeDefined();
expect(parse.value.sub).toBeDefined();
});
it("should produce the same thing regardless of order", function() {
var parseA = parseTree("x^2_3");
var parseB = parseTree("x_3^2");
expect(parseA).toEqual(parseB);
});
it("should not parse double subscripts or superscripts", function() {
expect(function() {
parseTree("x^x^x");
}).toThrow();
expect(function() {
parseTree("x_x_x");
}).toThrow();
expect(function() {
parseTree("x_x^x_x");
}).toThrow();
expect(function() {
parseTree("x_x^x^x");
}).toThrow();
expect(function() {
parseTree("x^x_x_x");
}).toThrow();
expect(function() {
parseTree("x^x_x^x");
}).toThrow();
});
it("should work correctly with {}s", function() {
expect(function() {
parseTree("x^{2+3}");
}).not.toThrow();
expect(function() {
parseTree("x_{3-2}");
}).not.toThrow();
expect(function() {
parseTree("x^{2+3}_3");
}).not.toThrow();
expect(function() {
parseTree("x^2_{3-2}");
}).not.toThrow();
expect(function() {
parseTree("x^{2+3}_{3-2}");
}).not.toThrow();
expect(function() {
parseTree("x_{3-2}^{2+3}");
}).not.toThrow();
expect(function() {
parseTree("x_3^{2+3}");
}).not.toThrow();
expect(function() {
parseTree("x_{3-2}^2");
}).not.toThrow();
});
});
describe("A subscript and superscript tree-builder", function() {
it("should not fail when there is no nucleus", function() {
expect(function() {
buildTree(parseTree("^3"));
}).not.toThrow();
expect(function() {
buildTree(parseTree("_2"));
}).not.toThrow();
expect(function() {
buildTree(parseTree("^3_2"));
}).not.toThrow();
expect(function() {
buildTree(parseTree("_2^3"));
}).not.toThrow();
});
});
describe("A group parser", function() {
it("should not fail", function() {
expect(function() {
parseTree("{xy}");
}).not.toThrow();
});
it("should produce a single ord", function() {
var parse = parseTree("{xy}");
expect(parse.length).toBe(1);
var ord = parse[0];
expect(ord.type).toMatch("ord");
expect(ord.value).toBeTruthy();
});
});
describe("An implicit group parser", function() {
it("should not fail", function() {
expect(function() {
parseTree("\\Large x");
parseTree("abc {abc \Large xyz} abc");
}).not.toThrow();
});
it("should produce a single object", function() {
var parse = parseTree("\\Large abc");
expect(parse.length).toBe(1);
var sizing = parse[0];
expect(sizing.type).toMatch("sizing");
expect(sizing.value).toBeTruthy();
});
it("should apply only after the function", function() {
var parse = parseTree("a \\Large abc");
expect(parse.length).toBe(2);
var sizing = parse[1];
expect(sizing.type).toMatch("sizing");
expect(sizing.value.value.value.length).toBe(3);
});
it("should stop at the ends of groups", function() {
var parse = parseTree("a { b \\Large c } d");
var group = parse[1];
var sizing = group.value[1];
expect(sizing.type).toMatch("sizing");
expect(sizing.value.value.value.length).toBe(1);
});
});
describe("A function parser", function() {
it("should parse no argument functions", function() {
expect(function() {
parseTree("\\div");
}).not.toThrow();
});
it("should parse 1 argument functions", function() {
expect(function() {
parseTree("\\blue x");
}).not.toThrow();
});
it("should parse 2 argument functions", function() {
expect(function() {
parseTree("\\frac 1 2");
}).not.toThrow();
});
it("should not parse 1 argument functions with no arguments", function() {
expect(function() {
parseTree("\\blue");
}).toThrow();
});
it("should not parse 2 argument functions with 0 or 1 arguments", function() {
expect(function() {
parseTree("\\frac");
}).toThrow();
expect(function() {
parseTree("\\frac 1");
}).toThrow();
});
it("should not parse a function with text right after it", function() {
expect(function() {
parseTree("\\redx");
}).toThrow();
});
it("should parse a function with a number right after it", function() {
expect(function() {
parseTree("\\frac12");
}).not.toThrow();
});
it("should parse some functions with text right after it", function() {
expect(function() {
parseTree("\\;x");
}).not.toThrow();
});
});
describe("A frac parser", function() {
var expression = "\\frac{x}{y}";
var dfracExpression = "\\dfrac{x}{y}";
var tfracExpression = "\\tfrac{x}{y}";
it("should not fail", function() {
expect(function() {
parseTree(expression);
}).not.toThrow();
});
it("should produce a frac", function() {
var parse = parseTree(expression)[0];
expect(parse.type).toMatch("frac");
expect(parse.value.numer).toBeDefined();
expect(parse.value.denom).toBeDefined();
});
it("should also parse dfrac and tfrac", function() {
expect(function() {
parseTree(dfracExpression);
}).not.toThrow();
expect(function() {
parseTree(tfracExpression);
}).not.toThrow();
});
it("should parse dfrac and tfrac as fracs", function() {
var dfracParse = parseTree(dfracExpression)[0];
expect(dfracParse.type).toMatch("frac");
expect(dfracParse.value.numer).toBeDefined();
expect(dfracParse.value.denom).toBeDefined();
var tfracParse = parseTree(tfracExpression)[0];
expect(tfracParse.type).toMatch("frac");
expect(tfracParse.value.numer).toBeDefined();
expect(tfracParse.value.denom).toBeDefined();
});
});
describe("A sizing parser", function() {
var sizeExpression = "\\Huge{x}\\small{x}";
var nestedSizeExpression = "\\Huge{\\small{x}}";
it("should not fail", function() {
expect(function() {
parseTree(sizeExpression);
}).not.toThrow();
});
it("should produce a sizing node", function() {
var parse = parseTree(sizeExpression)[0];
expect(parse.type).toMatch("sizing");
expect(parse.value).toBeDefined();
});
it("should not parse a nested size expression", function() {
expect(function() {
parseExpression(nestedSizeExpression);
}).toThrow();
});
});
describe("A text parser", function() {
var textExpression = "\\text{a b}";
var badTextExpression = "\\text{a b%}";
var badTextExpression2 = "\\text x";
var nestedTextExpression = "\\text{a {b} \\blue{c}}";
var spaceTextExpression = "\\text{ a \\ }";
var leadingSpaceTextExpression = "\\text {moo}";
it("should not fail", function() {
expect(function() {
parseTree(textExpression);
}).not.toThrow();
});
it("should produce a text", function() {
var parse = parseTree(textExpression)[0];
expect(parse.type).toMatch("text");
expect(parse.value).toBeDefined();
});
it("should produce textords instead of mathords", function() {
var parse = parseTree(textExpression)[0];
var group = parse.value.value;
expect(group[0].type).toMatch("textord");
});
it("should not parse bad text", function() {
expect(function() {
parseTree(badTextExpression);
}).toThrow();
expect(function() {
parseTree(badTextExpression2);
}).toThrow();
});
it("should parse nested expressions", function() {
expect(function() {
parseTree(nestedTextExpression);
}).not.toThrow();
});
it("should contract spaces", function() {
var parse = parseTree(spaceTextExpression)[0];
var group = parse.value.value;
expect(group[0].type).toMatch("spacing");
expect(group[1].type).toMatch("textord");
expect(group[2].type).toMatch("spacing");
expect(group[3].type).toMatch("spacing");
});
it("should ignore a space before the text group", function() {
var parse = parseTree(leadingSpaceTextExpression)[0];
// [m, o, o]
expect(parse.value.value.length).toBe(3);
expect(
parse.value.value.map(function(n) { return n.value; }).join("")
).toBe("moo");
});
});
describe("A color parser", function() {
var colorExpression = "\\blue{x}";
var customColorExpression = "\\color{#fA6}{x}";
var badCustomColorExpression = "\\color{bad-color}{x}";
it("should not fail", function() {
expect(function() {
parseTree(colorExpression);
}).not.toThrow();
});
it("should build a color node", function() {
var parse = parseTree(colorExpression)[0];
expect(parse.type).toMatch("color");
expect(parse.value.color).toBeDefined();
expect(parse.value.value).toBeDefined();
});
it("should parse a custom color", function() {
expect(function() {
parseTree(customColorExpression);
}).not.toThrow();
});
it("should correctly extract the custom color", function() {
var parse = parseTree(customColorExpression)[0];
expect(parse.value.color).toMatch("#fA6");
});
it("should not parse a bad custom color", function() {
expect(function() {
parseTree(badCustomColorExpression);
}).toThrow();
});
});
describe("A tie parser", function() {
var mathTie = "a~b";
var textTie = "\\text{a~ b}";
it("should parse ties in math mode", function() {
expect(function() {
parseTree(mathTie);
}).not.toThrow();
});
it("should parse ties in text mode", function() {
expect(function() {
parseTree(textTie);
}).not.toThrow();
});
it("should produce spacing in math mode", function() {
var parse = parseTree(mathTie);
expect(parse[1].type).toMatch("spacing");
});
it("should produce spacing in text mode", function() {
var text = parseTree(textTie)[0];
var parse = text.value.value;
expect(parse[1].type).toMatch("spacing");
});
it("should not contract with spaces in text mode", function() {
var text = parseTree(textTie)[0];
var parse = text.value.value;
expect(parse[2].type).toMatch("spacing");
});
});
describe("A delimiter sizing parser", function() {
var normalDelim = "\\bigl |";
var notDelim = "\\bigl x";
var bigDelim = "\\Biggr \\langle";
it("should parse normal delimiters", function() {
expect(function() {
parseTree(normalDelim);
parseTree(bigDelim);
}).not.toThrow();
});
it("should not parse not-delimiters", function() {
expect(function() {
parseTree(notDelim);
}).toThrow();
});
it("should produce a delimsizing", function() {
var parse = parseTree(normalDelim)[0];
expect(parse.type).toMatch("delimsizing");
});
it("should produce the correct direction delimiter", function() {
var leftParse = parseTree(normalDelim)[0];
var rightParse = parseTree(bigDelim)[0];
expect(leftParse.value.type).toMatch("open");
expect(rightParse.value.type).toMatch("close");
});
it("should parse the correct size delimiter", function() {
var smallParse = parseTree(normalDelim)[0];
var bigParse = parseTree(bigDelim)[0];
expect(smallParse.value.size).toEqual(1);
expect(bigParse.value.size).toEqual(4);
});
});
describe("An overline parser", function() {
var overline = "\\overline{x}";
it("should not fail", function() {
expect(function() {
parseTree(overline);
}).not.toThrow();
});
it("should produce an overline", function() {
var parse = parseTree(overline)[0];
expect(parse.type).toMatch("overline");
});
});
describe("A rule parser", function() {
var emRule = "\\rule{1em}{2em}";
var exRule = "\\rule{1ex}{2em}";
var badUnitRule = "\\rule{1px}{2em}";
var noNumberRule = "\\rule{1em}{em}";
var incompleteRule = "\\rule{1em}";
var hardNumberRule = "\\rule{ 01.24ex}{2.450 em }";
it("should not fail", function() {
expect(function() {
parseTree(emRule);
parseTree(exRule);
}).not.toThrow();
});
it("should not parse invalid units", function() {
expect(function() {
parseTree(badUnitRule);
}).toThrow();
expect(function() {
parseTree(noNumberRule);
}).toThrow();
});
it("should not parse incomplete rules", function() {
expect(function() {
parseTree(incompleteRule);
}).toThrow();
});
it("should produce a rule", function() {
var parse = parseTree(emRule)[0];
expect(parse.type).toMatch("rule");
});
it("should list the correct units", function() {
var emParse = parseTree(emRule)[0];
var exParse = parseTree(exRule)[0];
expect(emParse.value.width.unit).toMatch("em");
expect(emParse.value.height.unit).toMatch("em");
expect(exParse.value.width.unit).toMatch("ex");
expect(exParse.value.height.unit).toMatch("em");
});
it("should parse the number correctly", function() {
var hardNumberParse = parseTree(hardNumberRule)[0];
expect(hardNumberParse.value.width.number).toBeCloseTo(1.24);
expect(hardNumberParse.value.height.number).toBeCloseTo(2.45);
});
});
describe("A left/right parser", function() {
var normalLeftRight = "\\left( \\dfrac{x}{y} \\right)";
var emptyRight = "\\left( \\dfrac{x}{y} \\right.";
it("should not fail", function() {
expect(function() {
parseTree(normalLeftRight);
}).not.toThrow();
});
it("should produce a leftright", function() {
var parse = parseTree(normalLeftRight)[0];
expect(parse.type).toMatch("leftright");
expect(parse.value.left).toMatch("\\(");
expect(parse.value.right).toMatch("\\)");
});
it("should error when it is mismatched", function() {
var unmatchedLeft = "\\left( \\dfrac{x}{y}";
var unmatchedRight = "\\dfrac{x}{y} \\right)";
expect(function() {
parseTree(unmatchedLeft);
}).toThrow();
expect(function() {
parseTree(unmatchedRight);
}).toThrow();
});
it("should error when braces are mismatched", function() {
var unmatched = "{ \\left( \\dfrac{x}{y} } \\right)";
expect(function() {
parseTree(unmatched);
}).toThrow();
});
it("should error when non-delimiters are provided", function() {
var nonDelimiter = "\\left$ \\dfrac{x}{y} \\right)";
expect(function() {
parseTree(nonDelimiter);
}).toThrow();
});
it("should parse the empty '.' delimiter", function() {
expect(function() {
parseTree(emptyRight);
}).not.toThrow();
});
it("should parse the '.' delimiter with normal sizes", function() {
var normalEmpty = "\\Bigl .";
expect(function() {
parseTree(normalEmpty);
}).not.toThrow();
});
});
describe("A sqrt parser", function() {
var sqrt = "\\sqrt{x}";
var missingGroup = "\\sqrt";
it("should parse square roots", function() {
expect(function() {
parseTree(sqrt);
}).not.toThrow();
});
it("should error when there is no group", function() {
expect(function() {
parseTree(missingGroup);
}).toThrow();
});
it("should produce sqrts", function() {
var parse = parseTree(sqrt)[0];
expect(parse.type).toMatch("sqrt");
});
});