import assert from 'assert' import { approxEqual, approxDeepEqual } from '../../../../tools/approx.js' import math from '../../../../src/defaultInstance.js' const bignumber = math.bignumber const quantileSeq = math.quantileSeq describe('quantileSeq', function () { it('should return the quantileSeq from an array with number probability', function () { const lst = [3.7, 2.7, 3.3, 1.3, 2.2, 3.1] assert.strictEqual(quantileSeq(lst, 0), 1.3) assert.strictEqual(quantileSeq(lst, 0.1), 1.75) assert.strictEqual(quantileSeq(lst, 0.2), 2.2) assert.strictEqual(quantileSeq(lst, 0.25), 2.325) assert.strictEqual(quantileSeq(lst, 0.25, false), 2.325) assert.strictEqual(quantileSeq(lst, 0.3), 2.45) assert.strictEqual(quantileSeq(lst, 0.4), 2.7) approxEqual(quantileSeq(lst, 0.5), 2.9) assert.strictEqual(quantileSeq(lst, 0.6), 3.1) assert.strictEqual(quantileSeq(lst, 0.7), 3.2) approxEqual(quantileSeq(lst, 0.75), 3.25) assert.strictEqual(quantileSeq(lst, 0.8), 3.3) assert.strictEqual(quantileSeq(lst, 0.9), 3.5) assert.strictEqual(quantileSeq(lst, 1), 3.7) }) it('should return the quantileSeq from a multidimensional array in the specified dimension', function () { const arr = [ [3.7, 2.7, 3.3, 1.3, 2.2, 3.1], [3.8, 2.5, 3.2, 1.2, 3.2, 4.1] ] assert.deepStrictEqual(quantileSeq(arr, 0, 1), [1.3, 1.2]) assert.deepStrictEqual(quantileSeq(arr, 0.25, 1), [2.325, 2.675]) assert.deepStrictEqual(quantileSeq(arr, 0.5, 1), [2.9000000000000004, 3.2]) assert.deepStrictEqual(quantileSeq(arr, 0.75, 1), [3.2499999999999996, 3.6499999999999995]) assert.deepStrictEqual(quantileSeq(arr, 1, 1), [3.7, 4.1]) assert.deepStrictEqual(quantileSeq(arr, 0, false, 1), [1.3, 1.2]) assert.deepStrictEqual(quantileSeq(arr, 0.25, false, 1), [2.325, 2.675]) assert.deepStrictEqual(quantileSeq(arr, 0.5, false, 1), [2.9000000000000004, 3.2]) assert.deepStrictEqual(quantileSeq(arr, 0.75, false, 1), [3.2499999999999996, 3.6499999999999995]) assert.deepStrictEqual(quantileSeq(arr, 1, false, 1), [3.7, 4.1]) }) it('should return the quantileSeq from a multidimensional array in the specified dimension in the parser', function () { const arr = [ [3.7, 2.7, 3.3, 1.3, 2.2, 3.1], [3.8, 2.5, 3.2, 1.2, 3.2, 4.1] ] assert.deepStrictEqual(math.evaluate('quantileSeq(arr, 0, 2)', { arr }), [1.3, 1.2]) assert.deepStrictEqual(quantileSeq(arr, 0.25, 1), [2.325, 2.675]) assert.deepStrictEqual(quantileSeq(arr, 0.5, 1), [2.9000000000000004, 3.2]) assert.deepStrictEqual(quantileSeq(arr, 0.75, 1), [3.2499999999999996, 3.6499999999999995]) assert.deepStrictEqual(quantileSeq(arr, 1, 1), [3.7, 4.1]) assert.deepStrictEqual(quantileSeq(arr, 0, false, 1), [1.3, 1.2]) assert.deepStrictEqual(quantileSeq(arr, 0.25, false, 1), [2.325, 2.675]) assert.deepStrictEqual(quantileSeq(arr, 0.5, false, 1), [2.9000000000000004, 3.2]) assert.deepStrictEqual(quantileSeq(arr, 0.75, false, 1), [3.2499999999999996, 3.6499999999999995]) assert.deepStrictEqual(quantileSeq(arr, 1, false, 1), [3.7, 4.1]) }) it('should return the quantileSeq from an ascending array with number probability', function () { const lst = [1.3, 2.2, 2.7, 3.1, 3.3, 3.7] assert.strictEqual(quantileSeq(lst, 0, true), 1.3) assert.strictEqual(quantileSeq(lst, 0.1, true), 1.75) assert.strictEqual(quantileSeq(lst, 0.2, true), 2.2) assert.strictEqual(quantileSeq(lst, 0.25, true), 2.325) assert.strictEqual(quantileSeq(lst, 0.3, true), 2.45) assert.strictEqual(quantileSeq(lst, 0.4, true), 2.7) approxEqual(quantileSeq(lst, 0.5, true), 2.9) assert.strictEqual(quantileSeq(lst, 0.6, true), 3.1) assert.strictEqual(quantileSeq(lst, 0.7, true), 3.2) approxEqual(quantileSeq(lst, 0.75, true), 3.25) assert.strictEqual(quantileSeq(lst, 0.8, true), 3.3) assert.strictEqual(quantileSeq(lst, 0.9, true), 3.5) assert.strictEqual(quantileSeq(lst, 1, true), 3.7) }) it('should return the quantileSeq from an array with BigNumber probability', function () { // FIXME: why does quantileSeq sometimes return bignumber and sometimes not? const lst = [3.7, 2.7, 3.3, 1.3, 2.2, 3.1] assert.deepStrictEqual(quantileSeq(lst, bignumber(0)), bignumber(1.3)) assert.deepStrictEqual(quantileSeq(lst, bignumber(0.1)), bignumber(1.75)) assert.deepStrictEqual(quantileSeq(lst, bignumber(0.2)), bignumber(2.2)) assert.deepStrictEqual(quantileSeq(lst, bignumber(0.25)), bignumber(2.325)) assert.deepStrictEqual(quantileSeq(lst, bignumber(0.3)), bignumber(2.45)) assert.deepStrictEqual(quantileSeq(lst, bignumber(0.4)), bignumber(2.7)) assert.deepStrictEqual(quantileSeq(lst, bignumber(0.5)), bignumber(2.9)) assert.deepStrictEqual(quantileSeq(lst, bignumber(0.6)), bignumber(3.1)) assert.deepStrictEqual(quantileSeq(lst, bignumber(0.7)), bignumber(3.2)) assert.deepStrictEqual(quantileSeq(lst, bignumber(0.75)), bignumber(3.25)) assert.deepStrictEqual(quantileSeq(lst, bignumber(0.8)), bignumber(3.3)) assert.deepStrictEqual(quantileSeq(lst, bignumber(0.9)), bignumber(3.5)) assert.deepStrictEqual(quantileSeq(lst, bignumber(1)), bignumber(3.7)) }) // FIXME: should return the quantileSeq of an array of bignumbers with number probability // eslint-disable-next-line mocha/no-skipped-tests it.skip('should return the quantileSeq of an array of bignumbers with number probability', function () { approxEqual(quantileSeq([bignumber(0.5377), bignumber(1.8339), bignumber(-2.2588), bignumber(0.8622), bignumber(0.3188), bignumber(-1.3077), bignumber(-0.4336), bignumber(0.3426), bignumber(3.5784), bignumber(2.7694)], 0.3), 0.09308) }) it('should return the quantileSeq of an array of bignumbers with BigNumber probability', function () { assert.deepStrictEqual(quantileSeq([bignumber(0.5377), bignumber(1.8339), bignumber(-2.2588), bignumber(0.8622), bignumber(0.3188), bignumber(-1.3077), bignumber(-0.4336), bignumber(0.3426), bignumber(3.5784), bignumber(2.7694)], bignumber(0.3)), bignumber(0.09308)) }) it('should return the quantileSeq of units', function () { assert.deepStrictEqual(quantileSeq([math.unit('5mm'), math.unit('15mm'), math.unit('10mm')], 0.5), math.unit('10mm')) }) it('should return the quantileSeq from a 1d matrix', function () { assert.strictEqual(quantileSeq(math.matrix([2, 4, 6, 8, 10, 12, 14]), 0.25), 5) }) it('should return the quantileSeq from a 2d array', function () { approxEqual(quantileSeq([ [3.7, 2.7, 3.3], [1.3, 2.2, 3.1] ], 0.75), 3.25) }) it('should return the quantileSeq from an ascending 2d array', function () { approxEqual(quantileSeq([ [1.3, 2.2, 2.7], [3.1, 3.3, 3.7] ], 0.75, true), 3.25) }) it('should return the quantileSeq from a 2d matrix', function () { approxEqual(quantileSeq(math.matrix([ [3.7, 2.7, 3.3], [1.3, 2.2, 3.1] ]), 0.75), 3.25) }) it('should return the quantileSeq from an ascending 2d matrix', function () { approxEqual(quantileSeq(math.matrix([ [1.3, 2.2, 2.7], [3.1, 3.3, 3.7] ]), 0.75, true), 3.25) }) it('should return list quantiles for list of number probabilities', function () { const lst = [3.7, 2.7, 3.3, 1.3, 2.2, 3.1] approxDeepEqual(quantileSeq(lst, [0.25, 0.5, 0.75]), [2.325, 2.9, 3.25]) approxDeepEqual(quantileSeq(lst, [0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9]), [1.75, 2.2, 2.45, 2.7, 2.9, 3.1, 3.2, 3.3, 3.5]) }) it('should return list quantiles for list of number probabilities being a matrix', function () { approxDeepEqual(quantileSeq(math.matrix([3, -1, 5, 7]), math.matrix([1 / 3, 2 / 3])), [3, 5]) // FIXME: should return a matrix as output when the input is a matrix }) it('should return list quantiles for list of BigNumber probabilities', function () { const lst = [3.7, 2.7, 3.3, 1.3, 2.2, 3.1] assert.deepStrictEqual(quantileSeq(lst, [bignumber(0.25), bignumber(0.5), bignumber(0.75)]), [bignumber(2.325), bignumber(2.9), bignumber(3.25)]) assert.strictEqual(quantileSeq(lst, [bignumber(0.1), bignumber(0.2), bignumber(0.3), bignumber(0.4), bignumber(0.5), bignumber(0.6), bignumber(0.7), bignumber(0.8), bignumber(0.9)]).toString(), '1.75,2.2,2.45,2.7,2.9,3.1,3.2,3.3,3.5') }) it('should return list quantiles for list of number and BigNumber probabilities', function () { const lst = [3.7, 2.7, 3.3, 1.3, 2.2, 3.1] approxDeepEqual(quantileSeq(lst, [0.25, bignumber(0.5), 0.75]), [2.325, 2.9, 3.25]) approxDeepEqual(quantileSeq(lst, [0.1, 0.2, bignumber(0.3), 0.4, 0.5, 0.6, 0.7, bignumber(0.8), 0.9]), [1.75, 2.2, 2.45, 2.7, 2.9, 3.1, 3.2, 3.3, 3.5]) }) it('should return the evenly number spaced quantiles of an array', function () { const lst = [3.7, 2.7, 3.3, 1.3, 2.2, 3.1] approxDeepEqual(quantileSeq(lst, 3), [2.325, 2.9, 3.25]) approxDeepEqual(quantileSeq(lst, 9), [1.75, 2.2, 2.45, 2.7, 2.9, 3.1, 3.2, 3.3, 3.5]) }) it('should return the evenly BigNumber spaced quantiles of an array', function () { const lst = [3.7, 2.7, 3.3, 1.3, 2.2, 3.1] assert.deepStrictEqual(quantileSeq(lst, bignumber(3)), [bignumber(2.325), bignumber(2.9), bignumber(3.25)]) assert.strictEqual(quantileSeq(lst, bignumber(9)).toString(), '1.75,2.2,2.45,2.7,2.9,3.1,3.2,3.3,3.5') }) it('should throw an error if called with invalid number of arguments', function () { assert.throws(function () { quantileSeq() }, TypeError) assert.throws(function () { quantileSeq(2) }, TypeError) assert.throws(function () { quantileSeq([], 2, 3, 1) }, TypeError) }) it('should throw an error if called with unsupported type of arguments', function () { assert.throws(function () { quantileSeq([2, 4, 6, 8, 10, 12, 14], 0.25, 10) }, math.UnsupportedTypeError) assert.throws(function () { quantileSeq([2, 4, 6, 8, 10, 12, 14], [0.25, 2]) }, math.UnsuppoError) assert.throws(function () { quantileSeq('A', 'C', 'B') }, math.UnsupportedTypeError) assert.throws(function () { quantileSeq(true, false, true) }, math.UnsupportedTypeError) assert.throws(function () { quantileSeq(0, 'B') }, math.UnsupportedTypeError) assert.throws(function () { quantileSeq(math.complex(2, 3), math.complex(-1, 2)) }, /TypeError: Unexpected type of argument in function quantileSeq/) assert.throws(function () { quantileSeq(2, null) }, /TypeError: Unexpected type of argument in function quantileSeq/) // TODO: improve error messages of quantileSeq assert.throws(function () { quantileSeq([2, null], 2) }, /TypeError: Unexpected type of argument in function compare/) }) it('should throw error for bad probabilities and splits', function () { assert.throws(function () { quantileSeq([2, 4, 6, 8, 10, 12, 14], [0.23, 2, 0.2]) }, Error) assert.throws(function () { quantileSeq([2, 4, 6, 8, 10, 12, 14], [0.23, bignumber(2), 0.2]) }, Error) assert.throws(function () { quantileSeq([2, 4, 6, 8, 10, 12, 14], -2) }, Error) assert.throws(function () { quantileSeq([2, 4, 6, 8, 10, 12, 14], bignumber(-2)) }, Error) }) it('should throw an error if called with an empty array', function () { assert.throws(function () { quantileSeq([]) }) }) it('should not mutate the input', function () { const a = [3, 2, 1] quantileSeq(a, 0.2) quantileSeq(a, 2) quantileSeq(a, [0.1, 0.3]) assert.deepStrictEqual(a, [3, 2, 1]) }) /* it('should LaTeX quantileSeq', function () { const expression = math.parse('quantileSeq(1,2,3,4,0.3)') assert.strictEqual(expression.toTex(), '\\mathrm{quantile}\\left(1,2,3,4,0.3\\right)') }) */ })