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54 lines
1.7 KiB
JavaScript
54 lines
1.7 KiB
JavaScript
// test tan
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var assert = require('assert'),
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math = require('../../../src/index.js'),
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approx = require('../../../tools/approx.js'),
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pi = math.pi,
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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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sin = math.sin,
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cos = math.cos,
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tan = math.tan;
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// number
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approx.equal(tan(0), 0);
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approx.equal(tan(pi*1/4), 1);
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approx.equal(tan(pi*1/8), 0.414213562373095);
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assert.ok(tan(pi*2/4) > 1e10);
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approx.equal(tan(pi*3/4), -1);
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approx.equal(tan(pi*4/4), 0);
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approx.equal(tan(pi*5/4), 1);
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assert.ok(tan(pi*6/4) > 1e10);
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approx.equal(tan(pi*7/4), -1);
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approx.equal(tan(pi*8/4), 0);
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// complex
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var re = 0.00376402564150425,
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im = 1.00323862735360980;
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approx.deepEqual(tan(complex('2+3i')), complex(-re, im));
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approx.deepEqual(tan(complex('2-3i')), complex(-re, -im));
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approx.deepEqual(tan(complex('-2+3i')), complex(re, im));
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approx.deepEqual(tan(complex('-2-3i')), complex(re, -im));
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approx.deepEqual(tan(complex('i')), complex(0, 0.761594155955765));
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approx.deepEqual(tan(complex('1')), 1.55740772465490);
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approx.deepEqual(tan(complex('1+i')), complex(0.271752585319512, 1.083923327338695));
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// unit
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approx.equal(tan(unit(' 60deg')), math.sqrt(3));
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approx.equal(tan(unit('-135deg')), 1);
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assert.throws(function () {tan(unit('5 celsius'))});
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// string
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assert.throws(function () {tan('string')});
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// compare
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math.range(0, 0.1, 1).forEach(function (value) {
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approx.equal(tan(value), sin(value) / cos(value));
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});
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// array, matrix, range
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var tan123 = [1.557407724654902, -2.185039863261519, -0.142546543074278];
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approx.deepEqual(tan([1,2,3]), tan123);
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approx.deepEqual(tan(math.range('1:3')), tan123);
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approx.deepEqual(tan(matrix([1,2,3])), matrix(tan123));
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