mirror of
https://github.com/josdejong/mathjs.git
synced 2026-01-18 14:59:29 +00:00
156 lines
5.5 KiB
JavaScript
156 lines
5.5 KiB
JavaScript
// test trigonometric functions
|
|
|
|
var assert = require('assert');
|
|
math = require('../../math.js'),
|
|
pi = math.pi,
|
|
complex = math.complex,
|
|
matrix = math.matrix,
|
|
unit = math.unit,
|
|
divide = math.divide;
|
|
round = math.round,
|
|
sin = math.sin,
|
|
cos = math.cos,
|
|
tan = math.tan,
|
|
atan2 = math.atan2;
|
|
|
|
/**
|
|
* Round a number to 5 decimals
|
|
* @param {Number} value
|
|
* @returns {Number} roundedValue
|
|
*/
|
|
function round5 (value) {
|
|
return round(value, 5);
|
|
}
|
|
|
|
// TODO: test acos
|
|
// TODO: test asin
|
|
// TODO: test atan
|
|
|
|
// test atan2
|
|
assert.equal(atan2(0, 0) / pi, 0);
|
|
assert.equal(atan2(0, 1) / pi, 0);
|
|
assert.equal(atan2(1, 1) / pi, 0.25);
|
|
assert.equal(atan2(1, 0) / pi, 0.5);
|
|
assert.equal(atan2(1, -1) / pi, 0.75);
|
|
assert.equal(atan2(0, -1) / pi, 1);
|
|
assert.equal(atan2(-1, -1) / pi, -0.75);
|
|
assert.equal(atan2(-1, 0) / pi, -0.5);
|
|
assert.equal(atan2(-1, 1) / pi, -0.25);
|
|
assert.deepEqual(divide(atan2([1,0,-1], [1,0,-1]), pi), [0.25, 0, -0.75]);
|
|
assert.deepEqual(divide(atan2(
|
|
matrix([1,0,-1]),
|
|
matrix([1,0,-1])), pi),
|
|
matrix([0.25, 0, -0.75]));
|
|
assert.equal(atan2(0, 2) / pi, 0);
|
|
assert.equal(atan2(0, -2) / pi, 1);
|
|
assert.throws(function () {atan2(complex('2+3i'), complex('1-2i')); });
|
|
assert.throws(function () {atan2('string', 1)});
|
|
assert.throws(function () {atan2(unit('5cm'), 1)});
|
|
|
|
// test cos
|
|
assert.equal(round5(cos(0)), 1);
|
|
assert.equal(round5(cos(pi*1/4)), 0.70711);
|
|
assert.equal(round5(cos(pi*1/8)), 0.92388);
|
|
assert.equal(round5(cos(pi*2/4)), 0);
|
|
assert.equal(round5(cos(pi*3/4)), -0.70711);
|
|
assert.equal(round5(cos(pi*4/4)), -1);
|
|
assert.equal(round5(cos(pi*5/4)), -0.70711);
|
|
assert.equal(round5(cos(pi*6/4)), 0);
|
|
assert.equal(round5(cos(pi*7/4)), 0.70711);
|
|
assert.equal(round5(cos(pi*8/4)), 1);
|
|
assert.equal(round5(cos(pi/4)), round5(math.sqrt(2)/2));
|
|
|
|
assert.deepEqual(cos(complex('2+3i')).toString(), '-4.1896 - 9.1092i');
|
|
assert.deepEqual(cos(complex('2-3i')).toString(), '-4.1896 + 9.1092i');
|
|
assert.deepEqual(cos(complex('-2+3i')).toString(), '-4.1896 + 9.1092i');
|
|
assert.deepEqual(cos(complex('-2-3i')).toString(), '-4.1896 - 9.1092i');
|
|
assert.deepEqual(cos(complex('i')).toString(), '1.5431');
|
|
assert.deepEqual(cos(complex('1')).toString(), '0.5403');
|
|
assert.deepEqual(cos(complex('1+i')).toString(), '0.83373 - 0.9889i');
|
|
|
|
assert.deepEqual(round5(cos([1,2,3])),
|
|
[0.54030, -0.41615, -0.98999]);
|
|
assert.deepEqual(round5(cos(math.range('1:3'))),
|
|
[0.54030, -0.41615, -0.98999]);
|
|
assert.deepEqual(round5(cos(matrix([1,2,3]))),
|
|
matrix([0.54030, -0.41615, -0.98999]));
|
|
|
|
assert.equal(round5(cos(unit('45deg'))), 0.70711);
|
|
assert.equal(round5(cos(unit('-135deg'))), -0.70711);
|
|
assert.throws(function () {cos('string')});
|
|
assert.throws(function () {cos(unit('5 celsius'))});
|
|
|
|
// TODO: test cot
|
|
// TODO: test csc
|
|
// TODO: test sec
|
|
|
|
// test sin
|
|
assert.equal(round5(sin(0)), 0);
|
|
assert.equal(round5(sin(pi*1/4)), 0.70711);
|
|
assert.equal(round5(sin(pi*1/8)), 0.38268);
|
|
assert.equal(round5(sin(pi*2/4)), 1);
|
|
assert.equal(round5(sin(pi*3/4)), 0.70711);
|
|
assert.equal(round5(sin(pi*4/4)), 0);
|
|
assert.equal(round5(sin(pi*5/4)), -0.70711);
|
|
assert.equal(round5(sin(pi*6/4)), -1);
|
|
assert.equal(round5(sin(pi*7/4)), -0.70711);
|
|
assert.equal(round5(sin(pi*8/4)), 0);
|
|
assert.equal(round5(sin(pi/4)), round5(math.sqrt(2)/2));
|
|
|
|
assert.deepEqual(sin(complex('2+3i')).toString(), '9.1545 - 4.1689i');
|
|
assert.deepEqual(sin(complex('2-3i')).toString(), '9.1545 + 4.1689i');
|
|
assert.deepEqual(sin(complex('-2+3i')).toString(), '-9.1545 - 4.1689i');
|
|
assert.deepEqual(sin(complex('-2-3i')).toString(), '-9.1545 + 4.1689i');
|
|
assert.deepEqual(sin(complex('i')).toString(), '1.1752i');
|
|
assert.deepEqual(sin(complex('1')).toString(), '0.84147');
|
|
assert.deepEqual(sin(complex('1+i')).toString(), '1.2985 + 0.63496i');
|
|
|
|
assert.deepEqual(round5(sin([1,2,3])),
|
|
[0.84147, 0.90930, 0.14112]);
|
|
assert.deepEqual(round5(sin(math.range('1:3'))),
|
|
[0.84147, 0.90930, 0.14112]);
|
|
assert.deepEqual(round5(sin(matrix([1,2,3]))),
|
|
matrix([0.84147, 0.90930, 0.14112]));
|
|
|
|
assert.equal(round5(sin(unit('45deg'))), 0.70711);
|
|
assert.equal(round5(sin(unit('-45deg'))), -0.70711);
|
|
assert.throws(function () {sin('string')});
|
|
assert.throws(function () {sin(unit('5 celsius'))});
|
|
|
|
|
|
// test tan
|
|
var tan = tan;
|
|
assert.equal(round5(tan(0)), 0);
|
|
assert.equal(round5(tan(pi*1/4)), 1);
|
|
assert.equal(round5(tan(pi*1/8)), 0.41421);
|
|
assert.ok(tan(pi*2/4) > 1e15);
|
|
assert.equal(round5(tan(pi*3/4)), -1);
|
|
assert.equal(round5(tan(pi*4/4)), 0);
|
|
assert.equal(round5(tan(pi*5/4)), 1);
|
|
assert.ok(tan(pi*6/4) > 1e15);
|
|
assert.equal(round5(tan(pi*7/4)), -1);
|
|
assert.equal(round5(tan(pi*8/4)), 0);
|
|
|
|
assert.deepEqual(round5(tan([1,2,3])),
|
|
[1.55741, -2.18504, -0.14255]);
|
|
assert.deepEqual(round5(tan(math.range('1:3'))),
|
|
[1.55741, -2.18504, -0.14255]);
|
|
assert.deepEqual(round5(tan(matrix([1,2,3]))),
|
|
matrix([1.55741, -2.18504, -0.14255]));
|
|
|
|
assert.deepEqual(tan(complex('2+3i')).toString(), '-0.003764 + 1.0032i');
|
|
assert.deepEqual(tan(complex('2-3i')).toString(), '-0.003764 - 1.0032i');
|
|
assert.deepEqual(tan(complex('-2+3i')).toString(), '0.003764 + 1.0032i');
|
|
assert.deepEqual(tan(complex('-2-3i')).toString(), '0.003764 - 1.0032i');
|
|
assert.deepEqual(tan(complex('i')).toString(), '0.76159i');
|
|
assert.deepEqual(tan(complex('1')).toString(), '1.5574');
|
|
assert.deepEqual(tan(complex('1+i')).toString(), '0.27175 + 1.0839i');
|
|
|
|
assert.equal(round5(tan(unit(' 60deg'))), round5(math.sqrt(3)));
|
|
assert.equal(round5(tan(unit('-135deg'))), 1);
|
|
assert.throws(function () {tan('string')});
|
|
assert.throws(function () {tan(unit('5 celsius'))});
|
|
math.range(0, 0.1, 1).forEach(function (value) {
|
|
assert.equal(math.format(tan(value)), math.format(sin(value) / cos(value)));
|
|
});
|