import assert from 'assert' import math from '../../../../src/defaultInstance.js' /** * Transform node, array and single type value in a string with no spaces inside. * * Syntax: * * stri(arg) * * @param {any} arg Input value * @return {string} String value */ function stri (arg) { if (arg === null) { return null } else { return arg.toString().replace(/ /g, '') } } /** * Transform Obj properties in an array of string-converted values of * its sorted properties * * Syntax: * * objToString(obj) * * @param {object} obj The input object * @return {array} Arrey of sorted properties converted to strings */ function objToStrings (obj) { const vet = Object.keys(obj).sort() const strObj = {} for (let i = 0; i < vet.length; i++) { strObj[vet[i]] = stri(obj[vet[i]]) } return strObj } /// ////////////////// rationalize /////////////////////// describe('rationalize', function () { it('invalid expression', function () { assert.throws(function () { math.rationalize('(x*/2)') }, /Value expected \(char 4\)/) }) it('valid expression but not appropriate', function () { assert.throws(function () { math.rationalize('a=2') }, /Unimplemented node type in simplifyConstant: AssignmentNode/) assert.throws(function () { math.rationalize('sin(x)+x') }, /There is an unsolved function call/) assert.throws(function () { math.rationalize('(x+2)/(x % 2)') }, /Operator % invalid in polynomial expression/) }) it('non-integer exponent', function () { assert.throws(function () { math.rationalize('x^2.5 - 2*x + 3') }, /There is a non-integer exponent/) assert.throws(function () { math.rationalize('x^x') }, /There is a non-integer exponent/) assert.throws(function () { math.rationalize('x^2.5') }, /There is a non-integer exponent/) assert.throws(function () { math.rationalize('1/(x^(-2))') }, /There is a non-integer exponent/) }) it('calling error', function () { assert.throws(function () { math.rationalize('x^2 + 2*x + 3', 23) }, /Unexpected type of argument in function rationalize \(expected: boolean or Object, actual: number, index: 1\)/) }) it('processing constant expressions', function () { assert.strictEqual(stri(math.rationalize('-2+3+32-32')), '1') assert.strictEqual(stri(math.rationalize('1^2 + 20 + 3')), '24') }) it('processing simple expressions', function () { assert.strictEqual(stri(math.rationalize('x')), 'x') assert.strictEqual(stri(math.rationalize('-x')), '-x') assert.strictEqual(stri(math.rationalize('2x')), '2*x') assert.strictEqual(stri(math.rationalize('-2x')), '-2*x') assert.strictEqual(stri(math.rationalize('x^2')), 'x^2') assert.strictEqual(stri(math.rationalize('2x^2')), '2*x^2') assert.strictEqual(stri(math.rationalize('-2x^2')), '-2*x^2') assert.strictEqual(stri(math.rationalize('x+1')), 'x+1') assert.strictEqual(stri(math.rationalize('2x+1')), '2*x+1') assert.strictEqual(stri(math.rationalize('-2x+1')), '-2*x+1') assert.strictEqual(stri(math.rationalize('-2x-1')), '-2*x-1') assert.strictEqual(stri(math.rationalize('x^2-2x-5')), 'x^2-2*x-5') assert.strictEqual(stri(math.rationalize('3x^2-2x-5')), '3*x^2-2*x-5') assert.strictEqual(stri(math.rationalize('-3x^2-2x-5')), '-3*x^2-2*x-5') assert.strictEqual(stri(math.rationalize('4x^4-3x^2-2x-5')), '4*x^4-3*x^2-2*x-5') assert.strictEqual(stri(math.rationalize('-4x^4+3x^2-2x-5')), '-4*x^4+3*x^2-2*x-5') assert.strictEqual(stri(math.rationalize('-4x^4+3x^2-2x-1')), '-4*x^4+3*x^2-2*x-1') assert.strictEqual(stri(math.rationalize('-4x^4+3x^2-2x')), '-4*x^4+3*x^2-2*x') }) it('processing simple and reducible expressions', function () { assert.strictEqual(stri(math.rationalize('x+x+x')), '3*x') assert.strictEqual(stri(math.rationalize('x-x')), '0') assert.strictEqual(stri(math.rationalize('5x^2-5x^2')), '0') assert.strictEqual(stri(math.rationalize('2-3x')), '-3*x+2') assert.strictEqual(stri(math.rationalize('5x^2-3x-5x^2')), '-3*x') assert.strictEqual(stri(math.rationalize('-5x^2-3x+5x^2')), '-3*x') assert.strictEqual(stri(math.rationalize('-5 -2x^2 + 4x^4')), '4*x^4-2*x^2-5') assert.strictEqual(stri(math.rationalize('-5 -2x^2 + 4x^4+5+2x^2-2x^4')), '2*x^4') assert.strictEqual(stri(math.rationalize('-5 -2x^2 + 4x^4+5+2x^2-4x^4')), '0') assert.strictEqual(stri(math.rationalize('-5 -2x^3 + 5*x^2 + 3*x^6 - 17x^4 + 2 x^5')), '3*x^6+2*x^5-17*x^4-2*x^3+5*x^2-5') assert.strictEqual(stri(math.rationalize('x^2^2')), 'x^4') assert.strictEqual(stri(math.rationalize('x*2*2')), '4*x') assert.strictEqual(stri(math.rationalize('x*5')), '5*x') }) it('aditional simple expressions', function () { assert.strictEqual(stri(math.rationalize('1/(0.1x+1)+1')), '(0.1*x+2)/(0.1*x+1)') assert.strictEqual(stri(math.rationalize('1/x^2+1')), '(x^2+1)/x^2') assert.strictEqual(stri(math.rationalize('1/(x/10+1)+1')), '(0.1*x+2)/(0.1*x+1)') }) it('processing 2 variable expressions', function () { assert.strictEqual(stri(math.rationalize('x+y')), 'x+y') assert.strictEqual(stri(math.rationalize('x^2 + 2*x*y + 3')), 'x^2+2*x*y+3') assert.strictEqual(stri(math.rationalize('2x/y - y/(x+1)')), '(2*x^2-y^2+2*x)/(x*y+y)') }) it('processing power expressions', function () { assert.strictEqual(stri(math.rationalize('(2x+1)^3')), '8*x^3+12*x^2+6*x+1') assert.strictEqual(stri(math.rationalize('(2x+1)^3/(x-2)^3')), '(8*x^3+12*x^2+6*x+1)/(x^3-6*x^2+12*x-8)') }) it('processing tougher expressions', function () { assert.strictEqual(stri(math.rationalize('2x/(x+2) - x/(x+1)')), 'x^2/(x^2+3*x+2)') assert.strictEqual(stri(math.rationalize('2x/( (2x-1) / (3x+2) ) - 5x/ ( (3x+4) / (2x^2-5) ) + 3')), '(-20*x^4+28*x^3+104*x^2+6*x-12)/(6*x^2+5*x-4)') const no = math.parse('2x/( (2x-1) / (3x+2) ) - 5x/ ( (3x+4) / (2x^2-5) ) + 3') assert.strictEqual(stri(math.rationalize(no)), '(-20*x^4+28*x^3+104*x^2+6*x-12)/(6*x^2+5*x-4)') }) it.skip('processes a really complex expression', function () { // note this test passes but takes for ever to complete assert.strictEqual(stri(math.rationalize('x/(1-x)/(x-2)/(x-3)/(x-4) + 2x/ ( (1-2x)/(2-3x) )/ ((3-4x)/(4-5x) )')), '(-30*x^7+344*x^6-1506*x^5+3200*x^4-3472*x^3+1846*x^2-381*x)/(-8*x^6+90*x^5-383*x^4+780*x^3-797*x^2+390*x-72)') }) it('testing scope', function () { assert.strictEqual(stri(math.rationalize('x+x+x+y', { y: 1 })), '3*x+1') assert.strictEqual(stri(math.rationalize('x+x+x+y', {})), '3*x+y') }) it('testing complete form', function () { assert.deepStrictEqual(objToStrings(math.rationalize('x+x+x+y', {}, true)), { coefficients: '', denominator: null, expression: '3*x+y', numerator: '3*x+y', variables: 'x,y' }) assert.deepStrictEqual(objToStrings(math.rationalize('2x/y - y/(x+1)', {}, true)), { coefficients: '', denominator: 'x*y+y', expression: '(2*x^2-y^2+2*x)/(x*y+y)', numerator: '2*x^2-y^2+2*x', variables: 'x,y' }) assert.deepStrictEqual(objToStrings(math.rationalize('-2+5x^2', {}, true)), { coefficients: '-2,0,5', denominator: null, expression: '5*x^2-2', numerator: '5*x^2-2', variables: 'x' }) assert.deepStrictEqual(objToStrings(math.rationalize('x^2 + 2*x*y + 3', { y: 5 }, true)), { coefficients: '3,10,1', denominator: null, expression: 'x^2+10*x+3', numerator: 'x^2+10*x+3', variables: 'x' }) assert.deepStrictEqual(objToStrings(math.rationalize('(x^2 + 2*x*y + 3)/(2y-3x)', { y: 5 }, true)), { coefficients: '3,10,1', denominator: '-3*x+10', expression: '(x^2+10*x+3)/(-3*x+10)', numerator: 'x^2+10*x+3', variables: 'x' }) assert.deepStrictEqual(objToStrings(math.rationalize('sin(y)+x', { y: math.PI / 6 }, true)), { coefficients: '0.49999999999999994,1', denominator: null, expression: 'x+0.49999999999999994', numerator: 'x+0.49999999999999994', variables: 'x' }) }) }) // Describe rationalize