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75 lines
2.7 KiB
JavaScript
75 lines
2.7 KiB
JavaScript
// test norm
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var assert = require('assert'),
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error = require('../../../lib/util/error'),
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math = require('../../../index')();
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describe('norm', function () {
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it('should return the absolute value of a boolean', function () {
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assert.equal(math.norm(true), 1);
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assert.equal(math.norm(true, 10), 1);
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assert.equal(math.norm(false), 0);
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assert.equal(math.norm(false, 10), 0);
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});
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it('should return the absolute value of a number', function () {
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assert.equal(math.norm(-4.2), 4.2);
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assert.equal(math.norm(-3.5), 3.5);
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assert.equal(math.norm(100), 100);
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assert.equal(math.norm(0), 0);
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assert.equal(math.norm(100, 10), 100);
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});
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it('should return the absolute value of a big number', function () {
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assert.deepEqual(math.norm(math.bignumber(-2.3)), math.bignumber(2.3));
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assert.deepEqual(math.norm(math.bignumber('5e500')), math.bignumber('5e500'));
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assert.deepEqual(math.norm(math.bignumber('-5e500')), math.bignumber('5e500'));
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});
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it('should return the norm of a complex number', function () {
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assert.equal(math.norm(math.complex(3, -4)), 5);
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});
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it('should return the norm of a vector', function () {
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// empty vector
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assert.equal(math.norm([]), 0.0);
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assert.equal(math.norm(math.matrix([])), 0.0);
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// p = Infinity
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assert.equal(math.norm([1, 2, -3], Number.POSITIVE_INFINITY), 3);
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assert.equal(math.norm(math.matrix([1, 2, -3]), Number.POSITIVE_INFINITY), 3);
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// p - positive
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assert.equal(math.norm([3, 4], 2), 5.0);
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assert.equal(math.norm(math.matrix([3, 4]), 2), 5.0);
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// p - negative
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assert.equal(math.norm([3, 4], -2), 2.4);
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assert.equal(math.norm(math.matrix([3, 4]), -2), 2.4);
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// missing p (defaults to 2)
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assert.equal(math.norm([3, 4], 2), 5.0);
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assert.equal(math.norm(math.matrix([3, 4]), 2), 5.0);
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});
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it('should return the norm of a matrix', function () {
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// p = 1
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assert.equal(math.norm([[1, 2], [3, 4]], 1), 6);
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assert.equal(math.norm(math.matrix([[1, 2], [3, 4]]), 1), 6);
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// p = Infinity
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assert.equal(math.norm([[1, 2], [3, 4]], Number.POSITIVE_INFINITY), 7);
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assert.equal(math.norm(math.matrix([[1, 2], [3, 4]]), Number.POSITIVE_INFINITY), 7);
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// p - not implemented yet!
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assert.throws(function() {
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math.norm(math.norm([[1, 2], [3, 4]], 2), 6);
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});
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});
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it('should throw an error in case of invalid number of arguments', function() {
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// assert.throws(function () {math.norm()}, error.ArgumentsError);
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// assert.throws(function () {math.norm(1, 2, 3)}, error.ArgumentsError);
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});
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it('should throw an error with a string', function () {
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assert.throws(function () {
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math.norm('a string');
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});
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});
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});
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