mirror of
https://github.com/josdejong/mathjs.git
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100 lines
5.7 KiB
JavaScript
100 lines
5.7 KiB
JavaScript
// test exp
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var assert = require('assert'),
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approx = require('../../../tools/approx.js'),
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math = require('../../../src/index.js'),
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complex = math.complex,
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matrix = math.matrix,
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unit = math.unit,
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range = math.range,
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pow = math.pow;
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describe('pow', function() {
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it('should be parsed correctly', function() {
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approx.equal(math.eval('2^3'), 8);
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approx.equal(math.eval('-2^2'), -4); // -(2^2)
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approx.equal(math.eval('2^3^4'), 2.41785163922926e+24); // 2^(3^4)
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approx.equal(math.eval('pow(2,3)'), 8);
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approx.equal(math.eval('pow(-2,2)'), 4);
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});
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it('should elevate a number to the given power', function() {
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approx.deepEqual(pow(2,3), 8);
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approx.deepEqual(pow(2,4), 16);
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approx.deepEqual(pow(-2,2), 4);
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approx.deepEqual(pow(3,3), 27);
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approx.deepEqual(pow(3,-2), 0.111111111111111);
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approx.deepEqual(pow(-3,-2), 0.111111111111111);
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approx.deepEqual(pow(3,-3), 0.0370370370370370);
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approx.deepEqual(pow(-3,-3), -0.0370370370370370);
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approx.deepEqual(pow(2,1.5), 2.82842712474619);
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approx.deepEqual(pow(-2,1.5), complex(0, -2.82842712474619));
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});
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it('should throw an error if used with wrong number of arguments', function() {
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assert.throws(function () {pow(1)}, SyntaxError, 'Wrong number of arguments in function pow (1 provided, 2 expected)');
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assert.throws(function () {pow(1, 2, 3)}, SyntaxError, 'Wrong number of arguments in function pow (3 provided, 2 expected)');
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});
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it('should elevate a complex number to the given power', function() {
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approx.deepEqual(pow(complex(3, 0), 2), 9);
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approx.deepEqual(pow(complex(0, 2), 2), complex(-4, 0));
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approx.deepEqual(pow(complex(-1,-1),complex(-1,-1)), complex('-0.0284750589322119 + 0.0606697332231795i'));
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approx.deepEqual(pow(complex(-1,-1),complex(-1,1)), complex('-6.7536199239765713 + 3.1697803027015614i'));
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approx.deepEqual(pow(complex(-1,-1),complex(0,-1)), complex('0.0891447921553914 - 0.0321946742909677i'));
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approx.deepEqual(pow(complex(-1,-1),complex(0,1)), complex('9.92340022667813 + 3.58383962127501i'));
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approx.deepEqual(pow(complex(-1,-1),complex(1,-1)), complex('-0.1213394664463591 - 0.0569501178644237i'));
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approx.deepEqual(pow(complex(-1,-1),complex(1,1)), complex('-6.3395606054031211 - 13.5072398479531426i'));
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approx.deepEqual(pow(complex(-1,1),complex(-1,-1)), complex('-6.7536199239765713 - 3.1697803027015614i'));
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approx.deepEqual(pow(complex(-1,1),complex(-1,1)), complex('-0.0284750589322119 - 0.0606697332231795i'));
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approx.deepEqual(pow(complex(-1,1),complex(0,-1)), complex('9.92340022667813 - 3.58383962127501i'));
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approx.deepEqual(pow(complex(-1,1),complex(0,1)), complex('0.0891447921553914 + 0.0321946742909677i'));
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approx.deepEqual(pow(complex(-1,1),complex(1,-1)), complex('-6.3395606054031211 + 13.5072398479531426i'));
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approx.deepEqual(pow(complex(-1,1),complex(1,1)), complex('-0.1213394664463591 + 0.0569501178644237i'));
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approx.deepEqual(pow(complex(0,-1),complex(-1,-1)), complex('0.000000000000000 + 0.207879576350762i'));
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approx.deepEqual(pow(complex(0,-1),complex(-1,1)), complex('0.000000000000000 + 4.810477380965351i'));
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approx.deepEqual(pow(complex(0,-1),complex(1,-1)), complex('0.000000000000000 - 0.207879576350762i'));
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approx.deepEqual(pow(complex(0,-1),complex(1,1)), complex('0.000000000000000 - 4.810477380965351i'));
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approx.deepEqual(pow(complex(0,1),complex(-1,-1)), complex('0.000000000000000 - 4.810477380965351i'));
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approx.deepEqual(pow(complex(0,1),complex(-1,1)), complex('0.000000000000000 - 0.207879576350762i'));
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approx.deepEqual(pow(complex(0,1),complex(1,-1)), complex('0.000000000000000 + 4.810477380965351i'));
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approx.deepEqual(pow(complex(0,1),complex(1,1)), complex('0.000000000000000 + 0.207879576350762i'));
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approx.deepEqual(pow(complex(1,-1),complex(-1,-1)), complex('0.2918503793793073 + 0.1369786269150605i'));
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approx.deepEqual(pow(complex(1,-1),complex(-1,1)), complex('0.6589325864505904 + 1.4039396486303144i'));
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approx.deepEqual(pow(complex(1,-1),complex(0,-1)), complex('0.428829006294368 - 0.154871752464247i'));
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approx.deepEqual(pow(complex(1,-1),complex(0,1)), complex('2.062872235080905 + 0.745007062179724i'));
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approx.deepEqual(pow(complex(1,-1),complex(1,-1)), complex('0.2739572538301211 - 0.5837007587586147i'));
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approx.deepEqual(pow(complex(1,-1),complex(1,1)), complex('2.8078792972606288 - 1.3178651729011805i'));
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approx.deepEqual(pow(complex(1,1),complex(-1,-1)), complex('0.6589325864505904 - 1.4039396486303144i'));
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approx.deepEqual(pow(complex(1,1),complex(-1,1)), complex('0.2918503793793073 - 0.1369786269150605i'));
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approx.deepEqual(pow(complex(1,1),complex(0,-1)), complex('2.062872235080905 - 0.745007062179724i'));
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approx.deepEqual(pow(complex(1,1),complex(0,1)), complex('0.428829006294368 + 0.154871752464247i'));
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approx.deepEqual(pow(complex(1,1),complex(1,-1)), complex('2.8078792972606288 + 1.3178651729011805i'));
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approx.deepEqual(pow(complex(1,1),complex(1,1)), complex('0.2739572538301211 + 0.5837007587586147i'));
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});
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it('should throw an error if used with a unit', function() {
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assert.throws(function () {pow(unit('5cm'))});
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});
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it('should throw an error if used with a string', function() {
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assert.throws(function () {pow('text')});
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});
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it('???', function() {
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var a = [[1,2],[3,4]];
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var res = [[7,10],[15,22]];
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approx.deepEqual(pow(a, 2), res);
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approx.deepEqual(pow(matrix(a), 2), matrix(res));
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assert.throws(function () {pow([1,2,3,4],2);});
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assert.throws(function () {pow([[1,2,3],[4,5,6]],2);});
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assert.throws(function () {pow([[1,2,3],[4,5,6]],2);});
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assert.throws(function () {pow(a, 2.5);});
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assert.throws(function () {pow(a, [2,3]);});
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});
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}); |