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54 lines
1.7 KiB
JavaScript
54 lines
1.7 KiB
JavaScript
// test asin
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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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asin = math.asin,
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sin = math.sin;
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// number
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approx.equal(asin(-1) / pi, -0.5);
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approx.equal(asin(-0.5) / pi, -1/6);
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approx.equal(asin(0) / pi, 0);
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approx.equal(asin(0.5) / pi, 1/6);
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approx.equal(asin(1) / pi, 0.5);
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// complex
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var re = 0.570652784321099;
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var im = 1.983387029916536;
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approx.deepEqual(asin(complex('2+3i')), complex(re, im));
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approx.deepEqual(asin(complex('2-3i')), complex(re, -im));
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approx.deepEqual(asin(complex('-2+3i')), complex(-re, im));
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approx.deepEqual(asin(complex('-2-3i')), complex(-re, -im));
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approx.deepEqual(asin(complex('i')), complex(0, 0.881373587019543));
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approx.deepEqual(asin(complex('1')), 1.57079632679490);
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approx.deepEqual(asin(complex('1+i')), complex(0.666239432492515, 1.061275061905036));
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// unit
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assert.throws(function () {asin(unit('45deg'))});
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assert.throws(function () {asin(unit('5 celsius'))});
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// string
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assert.throws(function () {asin('string')});
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// inverse
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approx.equal(asin(sin(-1)), -1);
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approx.equal(asin(sin(0)), 0);
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approx.equal(asin(sin(0.1)), 0.1);
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approx.equal(asin(sin(0.5)), 0.5);
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approx.equal(asin(sin(2)), 1.14159265358979);
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// matrix, array, range
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// note: the results of asin(2) and asin(3) differs in octave
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// the next tests are verified with mathematica
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var asin123 = [
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1.57079632679490,
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complex(1.57079632679490, -1.31695789692482),
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complex(1.57079632679490, -1.76274717403909)];
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approx.deepEqual(asin([1,2,3]), asin123);
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approx.deepEqual(asin(math.range('1:3')), asin123);
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approx.deepEqual(asin(matrix([1,2,3])), matrix(asin123));
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