// test exp import assert from 'assert' import approx from '../../../../tools/approx' import math from '../../../../src/bundleAny' const mathPredictable = math.create({ predictable: true }) const complex = math.complex const matrix = math.matrix const unit = math.unit const log10 = math.log10 describe('log10', function () { it('should return the log base 10 of a boolean', function () { assert.strictEqual(log10(true), 0) assert.strictEqual(log10(false), -Infinity) }) it('should return the log base 10 of positive numbers', function () { approx.deepEqual(log10(1), 0) approx.deepEqual(log10(2), 0.301029995663981) approx.deepEqual(log10(3), 0.477121254719662) approx.deepEqual(log10(0.01), -2) approx.deepEqual(log10(0.1), -1) approx.deepEqual(log10(1), 0) approx.deepEqual(log10(10), 1) approx.deepEqual(log10(100), 2) approx.deepEqual(log10(1000), 3) }) it('should return the log base 10 of negative numbers', function () { approx.deepEqual(log10(-1), complex('0.000000000000000 + 1.364376353841841i')) approx.deepEqual(log10(-2), complex('0.301029995663981 + 1.364376353841841i')) approx.deepEqual(log10(-3), complex('0.477121254719662 + 1.364376353841841i')) }) it('should return the log base 10 of negative numbers with predicable:true', function () { assert.strictEqual(typeof mathPredictable.log10(-1), 'number') assert(isNaN(mathPredictable.log10(-1))) }) it('should return the log base 10 of zero', function () { approx.deepEqual(log10(0), -Infinity) }) it('should return the log of positive bignumbers', function () { const bigmath = math.create({ precision: 100 }) assert.deepStrictEqual(bigmath.log10(bigmath.bignumber(1)), bigmath.bignumber(0)) assert.deepStrictEqual(bigmath.log10(bigmath.bignumber(10)), bigmath.bignumber(1)) assert.deepStrictEqual(bigmath.log10(bigmath.bignumber(100)), bigmath.bignumber(2)) assert.deepStrictEqual(bigmath.log10(bigmath.bignumber(1000)), bigmath.bignumber(3)) // note: this gives a round-off error with regular numbers assert.deepStrictEqual(bigmath.log10(bigmath.bignumber(10000)), bigmath.bignumber(4)) assert.deepStrictEqual(bigmath.log10(bigmath.bignumber('1e500')), bigmath.bignumber(500)) }) it('should return the log of negative bignumbers', function () { const bigmath = math.create({ precision: 100 }) approx.deepEqual(bigmath.log10(bigmath.bignumber(-1)), bigmath.complex('0.000000000000000 + 1.364376353841841i')) approx.deepEqual(bigmath.log10(bigmath.bignumber(-2)), bigmath.complex('0.301029995663981 + 1.364376353841841i')) approx.deepEqual(bigmath.log10(bigmath.bignumber(-3)), bigmath.complex('0.477121254719662 + 1.364376353841841i')) }) it('should return the log of a bignumber with value zero', function () { const bigmath = math.create({ precision: 100 }) assert.deepStrictEqual(bigmath.log10(bigmath.bignumber(0)).toString(), '-Infinity') }) it('should throw an error if used with a wrong number of arguments', function () { assert.throws(function () { log10() }, /TypeError: Too few arguments/) assert.throws(function () { log10(1, 2) }, /TypeError: Too many arguments/) }) it('should throw an in case of wrong type of arguments', function () { assert.throws(function () { log10(null) }, /TypeError: Unexpected type of argument/) }) it('should return the log base 10 of a complex number', function () { approx.deepEqual(log10(complex(0, 1)), complex('0.000000000000000 + 0.682188176920921i')) approx.deepEqual(log10(complex(0, -1)), complex('0.000000000000000 - 0.682188176920921i')) approx.deepEqual(log10(complex(1, 1)), complex('0.150514997831991 + 0.341094088460460i')) approx.deepEqual(log10(complex(1, -1)), complex('0.150514997831991 - 0.341094088460460i')) approx.deepEqual(log10(complex(-1, -1)), complex('0.150514997831991 - 1.023282265381381i')) approx.deepEqual(log10(complex(-1, 1)), complex('0.150514997831991 + 1.023282265381381i')) approx.deepEqual(log10(complex(1, 0)), complex(0, 0)) }) it('should throw an error when used on a unit', function () { assert.throws(function () { log10(unit('5cm')) }) }) it('should throw an error when used on a string', function () { assert.throws(function () { log10('text') }) }) it('should return the log base 10 of each element of a matrix', function () { const res = [0, 0.301029995663981, 0.477121254719662, 0.602059991327962] approx.deepEqual(log10([1, 2, 3, 4]), res) approx.deepEqual(log10(matrix([1, 2, 3, 4])), matrix(res)) approx.deepEqual(math.divide(log10(matrix([1, 2, 3, 4])), math.LOG10E), matrix([0, 0.693147180559945, 1.098612288668110, 1.386294361119891])) approx.deepEqual(log10(matrix([[1, 2], [3, 4]])), matrix([[0, 0.301029995663981], [0.477121254719662, 0.602059991327962]])) }) it('should LaTeX log10', function () { const expression = math.parse('log10(10)') assert.strictEqual(expression.toTex(), '\\log_{10}\\left(10\\right)') }) })