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import {Rat} from './Rat' |
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import Symbolizer from './Symbolizer' |
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export interface Coefficents { |
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[Key: string]: Rat; |
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} |
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/** |
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* @class Rational polynumber |
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* @name Polyrat |
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*/ |
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export class Polyrat { |
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// coefficent values are indexed with their the exponents in each dimension, comma-separated, as the key |
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coefficents: Coefficents = {} |
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// the dimension is how many params there are, defined by the length of the exponent keys |
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dimension = 0 |
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// unique symbols for each dimension |
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symbols = '' |
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/** |
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* Initialize a rational polynumber. |
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*/ |
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constructor(coefficents?: Coefficents) { |
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if (coefficents) { |
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this.coefficents = coefficents |
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} |
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if (Object.keys(this.coefficents).length) { |
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this.dimension = Object.keys(this.coefficents)[0].split(',').length |
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} |
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const sg = (new Symbolizer('xyzw')).generator() |
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for (let i=0; i<this.dimension; i++) { |
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this.symbols += sg.next().value |
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} |
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} |
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/** |
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* Evaluate the result given the parameters for each dimension. |
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*/ |
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evaluate(parameters: Rat[]): Rat { |
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let result: Rat = new Rat() |
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for (const [exponents, coefficent] of Object.entries(this.coefficents)) { |
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let value: Rat = coefficent |
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const dimensions = exponents.split(',') |
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for (let i=0; i<dimensions.length; i++) { |
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value = value.mul(parameters[i].pow(new Rat(parseInt(dimensions[i], 10)))) |
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} |
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result = result.add(value) |
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} |
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return result |
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} |
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/** |
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* The text representation. |
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*/ |
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toString(): string { |
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return `${this.constructor.name}(${this.toJSON()})` |
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} |
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/** |
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* The JSON representation. |
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*/ |
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toJSON(): string { |
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// return JSON.stringify(this.coefficents) |
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const r = [] |
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for (const [exponents, coefficent] of Object.entries(this.coefficents)) { |
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r.push(`'${exponents}':'${coefficent.toString()}'`) |
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} |
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return `[${r.join(',')}]` |
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} |
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/** |
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* The formula in the human way with exponents as HTML sups. |
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*/ |
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toHTMLFormula(): string { |
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const r: string[] = [] |
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for (const [exponents, coefficent] of Object.entries(this.coefficents)) { |
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const t: string[] = [] |
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const f = coefficent.toString() |
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if (f !== '1') t.push(f) |
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const dimensions = exponents.split(',') |
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for (let i=0; i<dimensions.length; i++) { |
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if (dimensions[i] !== '0') { |
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if (dimensions[i] === '1') { |
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t.push(this.symbols[i]) |
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} |
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else { |
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t.push(`${this.symbols[i]}<sup>${parseInt(dimensions[i], 10)}</sup>`) |
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} |
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} |
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} |
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if (t) r.push(t.join('')) |
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} |
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if (r.length === 0) return '0' |
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return r.join(' + ') |
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} |
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/** |
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* The formula in the standard alpha form as HTML. |
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*/ |
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toStandardAlphaFormHTML(): string { |
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const rn: string[] = [] |
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const rd: string[] = [] |
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if (!Object.keys(this.coefficents).length) return '0' |
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for (const [exponents, coefficent] of Object.entries(this.coefficents)) { |
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const tn: string[] = [] |
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const td: string[] = [] |
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const f = coefficent.toString() |
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if (f !== '1') tn.push(f) |
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const dimensions = exponents.split(',') |
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for (let i=0; i<dimensions.length; i++) { |
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if (dimensions[i] !== '0') { |
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if (dimensions[i] === '1') { |
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tn.push(this.symbols[i]) |
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} |
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else { |
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const exponent = parseInt(dimensions[i], 10) |
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if (exponent > 0) { |
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tn.push(`${this.symbols[i]}<sup>${exponent}</sup>`) |
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} |
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else { |
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if (exponent === -1) { |
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td.push(this.symbols[i]) |
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} |
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else { |
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td.push(`${this.symbols[i]}<sup>${-exponent}</sup>`) |
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} |
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} |
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} |
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} |
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} |
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if (tn.length) rn.push(tn.join('')) |
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if (td.length) rd.push(td.join('')) |
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} |
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if (rn.length === 0) return '1' |
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if (rd.length === 0) return rn.join(' + ') |
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return rn.join(' + ') + ' / ' + rd.join(' + ') |
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} |
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/** |
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* The "calc" code for evaluating the value. |
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*/ |
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toCalcFormula(): string { |
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const r: string[] = [] |
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for (const [exponents, coefficent] of Object.entries(this.coefficents)) { |
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const t: string[] = [] |
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const f = coefficent.toString() |
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if (f !== '1') t.push(f) |
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const dimensions = exponents.split(',') |
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for (let i=0; i<dimensions.length; i++) { |
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if (dimensions[i] !== '0') { |
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if (dimensions[i] === '1') { |
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t.push(this.symbols[i]) |
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} |
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else { |
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t.push(`${this.symbols[i]}^${parseInt(dimensions[i], 10)}`) |
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} |
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} |
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} |
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if (t.length) r.push(t.join('*')) |
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} |
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if (r.length === 0) return '0' |
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return r.join(' + ') |
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} |
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/** |
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* The GLSL code for evaluating the value. |
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*/ |
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toGLSLFormula(): string { |
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const r: string[] = [] |
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for (const [exponents, coefficent] of Object.entries(this.coefficents)) { |
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const t: string[] = [] |
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const f = coefficent.toString() |
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if (f !== '1') t.push(f+'.0') |
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const dimensions = exponents.split(',') |
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for (let i=0; i<dimensions.length; i++) { |
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if (dimensions[i] !== '0') { |
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let exponent = parseInt(dimensions[i], 10) |
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const recipricol = exponent < 0 |
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// pow doesn't work for < 0 |
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// t.push(`pow(${this.symbols[i]},${exponent}.0)`) |
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// muliply instead |
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if (recipricol) { |
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t.push('1.0/(1.0') |
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exponent = -exponent |
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} |
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t.push(this.symbols[i].repeat(exponent).split('').join('*')) |
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if (recipricol) { |
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t.push('1.0)') |
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exponent = -exponent |
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} |
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} |
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} |
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if (t.length) r.push(t.join('*')) |
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} |
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if (r.length === 0) return '0.0' |
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return r.join('+') |
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} |
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/** |
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* Clone this. |
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*/ |
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clone(): Polyrat { |
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return new Polyrat(this.coefficents) |
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} |
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} |
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/** |
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* Parse the string and return it as a Polyrat. |
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*/ |
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export const stringToPolyrat = (s: string): Polyrat => { |
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return new Polyrat(JSON.parse(s) as Coefficents) |
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} |
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export default Polyrat |
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acerix /
cnum
