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92 lines
4.1 KiB
JavaScript
92 lines
4.1 KiB
JavaScript
// test exp
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import assert from 'assert'
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import { approxEqual, approxDeepEqual } from '../../../../tools/approx.js'
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import math from '../../../../src/defaultInstance.js'
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const complex = math.complex
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const matrix = math.matrix
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const sparse = math.sparse
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const unit = math.unit
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const exp = math.exp
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describe('exp', function () {
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it('should exponentiate a boolean', function () {
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approxEqual(exp(true), 2.71828182845905)
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approxEqual(exp(false), 1)
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})
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it('should exponentiate a number', function () {
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approxEqual(exp(-3), 0.0497870683678639)
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approxEqual(exp(-2), 0.1353352832366127)
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approxEqual(exp(-1), 0.3678794411714423)
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approxEqual(exp(0), 1)
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approxEqual(exp(1), 2.71828182845905)
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approxEqual(exp(2), 7.38905609893065)
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approxEqual(exp(3), 20.0855369231877)
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approxEqual(exp(math.log(100)), 100)
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})
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it('should exponentiate a bignumber', function () {
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const bigmath = math.create({ precision: 100 })
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assert.deepStrictEqual(bigmath.exp(bigmath.bignumber(1)), bigmath.bignumber('2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427'))
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})
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it('should throw an error if there\'s wrong number of arguments', function () {
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assert.throws(function () { exp() }, /TypeError: Too few arguments/)
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assert.throws(function () { exp(1, 2) }, /TypeError: Too many arguments/)
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})
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it('should throw an in case of wrong type of arguments', function () {
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assert.throws(function () { exp(null) }, /TypeError: Unexpected type of argument/)
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})
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it('should exponentiate a complex number correctly', function () {
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approxDeepEqual(exp(math.i), complex('0.540302305868140 + 0.841470984807897i'))
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approxDeepEqual(exp(complex(0, -1)), complex('0.540302305868140 - 0.841470984807897i'))
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approxDeepEqual(exp(complex(1, 1)), complex('1.46869393991589 + 2.28735528717884i'))
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approxDeepEqual(exp(complex(1, -1)), complex('1.46869393991589 - 2.28735528717884i'))
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approxDeepEqual(exp(complex(-1, -1)), complex('0.198766110346413 - 0.309559875653112i'))
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approxDeepEqual(exp(complex(-1, 1)), complex('0.198766110346413 + 0.309559875653112i'))
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approxDeepEqual(exp(complex(1, 0)), complex('2.71828182845905'))
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// test some logic identities
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const multiply = math.multiply
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const pi = math.pi
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const i = math.i
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approxDeepEqual(exp(multiply(0.5, multiply(pi, i))), complex(0, 1))
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approxDeepEqual(exp(multiply(1, multiply(pi, i))), complex(-1, 0))
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approxDeepEqual(exp(multiply(1.5, multiply(pi, i))), complex(0, -1))
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approxDeepEqual(exp(multiply(2, multiply(pi, i))), complex(1, 0))
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approxDeepEqual(exp(multiply(-0.5, multiply(pi, i))), complex(0, -1))
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approxDeepEqual(exp(multiply(-1, multiply(pi, i))), complex(-1, 0))
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approxDeepEqual(exp(multiply(-1.5, multiply(pi, i))), complex(0, 1))
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})
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it('should throw an error on a unit', function () {
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assert.throws(function () { exp(unit('5cm')) })
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})
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it('should throw an error with a string', function () {
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assert.throws(function () { exp('text') })
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})
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it('should not operate on matrices, arrays and ranges', function () {
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// array
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assert.throws(() => exp([0, 1, 2, 3]), /Function 'exp' doesn't apply/)
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approxDeepEqual(math.map([0, 1, 2, 3], exp), [1, 2.71828182845905, 7.38905609893065, 20.0855369231877])
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approxDeepEqual(math.map([[0, 1], [2, 3]], exp), [[1, 2.71828182845905], [7.38905609893065, 20.0855369231877]])
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// dense matrix
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assert.throws(() => exp(matrix([0, 1, 2, 3])), TypeError)
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approxDeepEqual(math.map(matrix([0, 1, 2, 3]), exp), matrix([1, 2.71828182845905, 7.38905609893065, 20.0855369231877]))
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approxDeepEqual(math.map(matrix([[0, 1], [2, 3]]), exp), matrix([[1, 2.71828182845905], [7.38905609893065, 20.0855369231877]]))
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// sparse matrix, TODO: it should return a dense matrix
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approxDeepEqual(math.map(sparse([[0, 1], [2, 3]]), exp), sparse([[1, 2.71828182845905], [7.38905609893065, 20.0855369231877]]))
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})
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it('should LaTeX exp', function () {
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const expression = math.parse('exp(0)')
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assert.strictEqual(expression.toTex(), '\\exp\\left(0\\right)')
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})
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})
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