| 
                    1
                 | 
                                    
                             3                          | 
                
                 | 
                import { Rat } from './Rat' | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    2
                 | 
                                    
                             3                          | 
                
                 | 
                import Symbolizer from './Symbolizer'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    3
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    4
                 | 
                                    
                                                     | 
                
                 | 
                export interface Coefficents { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    5
                 | 
                                    
                                                     | 
                
                 | 
                  [Key: string]: bigint  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    6
                 | 
                                    
                                                     | 
                
                 | 
                }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    7
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    8
                 | 
                                    
                                                     | 
                
                 | 
                /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    9
                 | 
                                    
                                                     | 
                
                 | 
                 * @class Rational polynumber  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    10
                 | 
                                    
                                                     | 
                
                 | 
                 * @name Polyrat  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    11
                 | 
                                    
                                                     | 
                
                 | 
                 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    12
                 | 
                                    
                             3                          | 
                
                 | 
                export class Polyrat { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    13
                 | 
                                    
                                                     | 
                
                 | 
                  // coefficent values are indexed with their the exponents in each dimension, comma-separated, as the key  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    14
                 | 
                                    
                             21                          | 
                
                 | 
                  coefficents: Coefficents = {} | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    15
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    16
                 | 
                                    
                                                     | 
                
                 | 
                  // the dimension is how many params there are, defined by the length of the exponent keys  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    17
                 | 
                                    
                             21                          | 
                
                 | 
                  dimension = 0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    18
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    19
                 | 
                                    
                                                     | 
                
                 | 
                  // unique symbols for each dimension  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    20
                 | 
                                    
                             21                          | 
                
                 | 
                  latinSymbols = ''  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    21
                 | 
                                    
                             21                          | 
                
                 | 
                  greekSymbols = ''  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    22
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    23
                 | 
                                    
                                                     | 
                
                 | 
                  /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    24
                 | 
                                    
                                                     | 
                
                 | 
                   * Initialize a rational polynumber.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    25
                 | 
                                    
                                                     | 
                
                 | 
                   */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    26
                 | 
                                    
                                                     | 
                
                 | 
                  constructor(coefficents?: Coefficents) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    27
                 | 
                                    
                             21                          | 
                
                 | 
                    if (coefficents) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    28
                 | 
                                    
                             19                          | 
                
                 | 
                      this.coefficents = coefficents  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    29
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    30
                 | 
                                    
                             21                          | 
                
                 | 
                    if (Object.keys(this.coefficents).length) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    31
                 | 
                                    
                             14                          | 
                
                 | 
                      const ck = Object.keys(this.coefficents)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    32
                 | 
                                    
                             14                          | 
                
                 | 
                      this.dimension = ck[0] ? ck[0].split(',').length : 0 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    33
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    34
                 | 
                                    
                             21                          | 
                
                 | 
                    const lsg = new Symbolizer('xyzw').generator() | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    35
                 | 
                                    
                             21                          | 
                
                 | 
                    for (let i = 0; i < this.dimension; i++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    36
                 | 
                                    
                             21                          | 
                
                 | 
                      this.latinSymbols += lsg.next().value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    37
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    38
                 | 
                                    
                             21                          | 
                
                 | 
                    const gsg = new Symbolizer().generator()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    39
                 | 
                                    
                             21                          | 
                
                 | 
                    for (let i = 0; i < this.dimension; i++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    40
                 | 
                                    
                             21                          | 
                
                 | 
                      this.greekSymbols += gsg.next().value  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    41
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    42
                 | 
                                    
                                                     | 
                
                 | 
                  }  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    43
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    44
                 | 
                                    
                                                     | 
                
                 | 
                  /**  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    45
                 | 
                                    
                                                     | 
                
                 | 
                   * Evaluate the result given the parameters for each dimension.  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    46
                 | 
                                    
                                                     | 
                
                 | 
                   */  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    47
                 | 
                                    
                                                     | 
                
                 | 
                  evaluate(parameters: Rat[]): Rat { | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    48
                 | 
                                    
                             1                          | 
                
                 | 
                    let result: Rat = new Rat()  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    49
                 | 
                                    
                             1                          | 
                
                 | 
                    for (const [exponents, coefficent] of Object.entries(this.coefficents)) { | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    50
                 | 
                                    
                             1                          | 
                
                 | 
                      let value: Rat = new Rat(coefficent)  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    51
                 | 
                                    
                             1                          | 
                
                 | 
                      const dimensions = exponents.split(',') | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    52
                 | 
                                    
                             1                          | 
                
                 | 
                      for (let i = 0; i < dimensions.length; i++) { | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    53
                 | 
                                    
                             1                          | 
                
                 | 
                        if (i in parameters) { | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    54
                 | 
                                    
                             2                          | 
                
                 | 
                          const base = parameters[i] ?? new Rat(1)  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    55
                 | 
                                    
                             2                          | 
                
                 | 
                          const dimension = parseInt(dimensions[i] ?? '1', 10)  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    56
                 | 
                                    
                             1                          | 
                
                 | 
                          value = value.mul(base.pow(new Rat(dimension)))  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    57
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    58
                 | 
                                    
                                                     | 
                
                 | 
                      }  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    59
                 | 
                                    
                             1                          | 
                
                 | 
                      result = result.add(value)  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    60
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                        
                            
            
                                    
            
            
                | 
                    61
                 | 
                                    
                             1                          | 
                
                 | 
                    return result  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    62
                 | 
                                    
                                                     | 
                
                 | 
                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    63
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    64
                 | 
                                    
                                                     | 
                
                 | 
                  /**s  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    65
                 | 
                                    
                                                     | 
                
                 | 
                   * The text representation.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    66
                 | 
                                    
                                                     | 
                
                 | 
                   */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    67
                 | 
                                    
                                                     | 
                
                 | 
                  toString(): string { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    68
                 | 
                                    
                             2                          | 
                
                 | 
                    return `${this.constructor.name}(${this.toJSON()})` | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    69
                 | 
                                    
                                                     | 
                
                 | 
                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    70
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    71
                 | 
                                    
                                                     | 
                
                 | 
                  /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    72
                 | 
                                    
                                                     | 
                
                 | 
                   * The JSON representation.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    73
                 | 
                                    
                                                     | 
                
                 | 
                   */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    74
                 | 
                                    
                                                     | 
                
                 | 
                  toJSON(): string { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    75
                 | 
                                    
                                                     | 
                
                 | 
                    // return JSON.stringify(this.coefficents)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    76
                 | 
                                    
                             4                          | 
                
                 | 
                    const r = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    77
                 | 
                                    
                             4                          | 
                
                 | 
                    for (const [exponents, coefficent] of Object.entries(this.coefficents)) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    78
                 | 
                                    
                             12                          | 
                
                 | 
                      r.push(`"${exponents}":"${coefficent.toString()}"`) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    79
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    80
                 | 
                                    
                             4                          | 
                
                 | 
                    return `{${r.join(',')}}` | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    81
                 | 
                                    
                                                     | 
                
                 | 
                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    82
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    83
                 | 
                                    
                                                     | 
                
                 | 
                  /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    84
                 | 
                                    
                                                     | 
                
                 | 
                   * The formula in the human way with exponents as HTML sups.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    85
                 | 
                                    
                                                     | 
                
                 | 
                   */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    86
                 | 
                                    
                                                     | 
                
                 | 
                  toHTMLFormula(): string { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    87
                 | 
                                    
                             5                          | 
                
                 | 
                    const r: string[] = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    88
                 | 
                                    
                             5                          | 
                
                 | 
                    for (const [exponents, coefficent] of Object.entries(this.coefficents)) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    89
                 | 
                                    
                             12                          | 
                
                 | 
                      const t: string[] = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    90
                 | 
                                    
                             12                          | 
                
                 | 
                      const f = coefficent.toString()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    91
                 | 
                                    
                             12                          | 
                
                 | 
                      if (f !== '1') t.push(f)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    92
                 | 
                                    
                             12                          | 
                
                 | 
                      const dimensions = exponents.split(',') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    93
                 | 
                                    
                             12                          | 
                
                 | 
                      for (let i = 0; i < dimensions.length; i++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    94
                 | 
                                    
                             24                          | 
                
                 | 
                        if (dimensions[i] !== '0') { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    95
                 | 
                                    
                             12                          | 
                
                 | 
                          if (dimensions[i] === '1') { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    96
                 | 
                                    
                             3                          | 
                
                 | 
                            t.push(this.latinSymbols[i] ?? '?')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    97
                 | 
                                    
                                                     | 
                
                 | 
                          } else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    98
                 | 
                                    
                             9                          | 
                
                 | 
                            t.push(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    99
                 | 
                                    
                                                     | 
                
                 | 
                              `${this.latinSymbols[i] ?? '?'}<sup>${parseInt( | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    100
                 | 
                                    
                                                     | 
                
                 | 
                                dimensions[i] ?? '?',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    101
                 | 
                                    
                                                     | 
                
                 | 
                                10,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    102
                 | 
                                    
                                                     | 
                
                 | 
                              )}</sup>`,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    103
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    104
                 | 
                                    
                                                     | 
                
                 | 
                          }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    105
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    106
                 | 
                                    
                                                     | 
                
                 | 
                      }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    107
                 | 
                                    
                             12                          | 
                
                 | 
                      if (t) r.push(t.join('')) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    108
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    109
                 | 
                                    
                             5                          | 
                
                 | 
                    if (r.length === 0) return '0'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    110
                 | 
                                    
                             4                          | 
                
                 | 
                    return r.join(' + ') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    111
                 | 
                                    
                                                     | 
                
                 | 
                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    112
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    113
                 | 
                                    
                                                     | 
                
                 | 
                  /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    114
                 | 
                                    
                                                     | 
                
                 | 
                   * The formula in the standard alpha form as HTML.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    115
                 | 
                                    
                                                     | 
                
                 | 
                   */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    116
                 | 
                                    
                                                     | 
                
                 | 
                  toStandardAlphaFormHTML(): string { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    117
                 | 
                                    
                             8                          | 
                
                 | 
                    const rn: string[] = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    118
                 | 
                                    
                             8                          | 
                
                 | 
                    const rd: string[] = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    119
                 | 
                                    
                             8                          | 
                
                 | 
                    if (!Object.keys(this.coefficents).length) return '0'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    120
                 | 
                                    
                             7                          | 
                
                 | 
                    for (const [exponents, coefficent] of Object.entries(this.coefficents)) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    121
                 | 
                                    
                             14                          | 
                
                 | 
                      const tn: string[] = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    122
                 | 
                                    
                             14                          | 
                
                 | 
                      const td: string[] = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    123
                 | 
                                    
                             14                          | 
                
                 | 
                      const f = coefficent.toString()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    124
                 | 
                                    
                             14                          | 
                
                 | 
                      if (f !== '1') tn.push(f)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    125
                 | 
                                    
                             14                          | 
                
                 | 
                      const dimensions = exponents.split(',') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    126
                 | 
                                    
                             14                          | 
                
                 | 
                      for (let i = 0; i < dimensions.length; i++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    127
                 | 
                                    
                             25                          | 
                
                 | 
                        if (dimensions[i] !== '0') { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    128
                 | 
                                    
                             14                          | 
                
                 | 
                          if (dimensions[i] === '1') { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    129
                 | 
                                    
                             4                          | 
                
                 | 
                            tn.push(this.greekSymbols[i] ?? '?')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    130
                 | 
                                    
                                                     | 
                
                 | 
                          } else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    131
                 | 
                                    
                             10                          | 
                
                 | 
                            const exponent = parseInt(dimensions[i] ?? '0', 10)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    132
                 | 
                                    
                             10                          | 
                
                 | 
                            if (exponent > 0) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    133
                 | 
                                    
                             7                          | 
                
                 | 
                              tn.push(`${this.greekSymbols[i] ?? '?'}<sup>${exponent}</sup>`) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    134
                 | 
                                    
                                                     | 
                
                 | 
                            } else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
                             3                          | 
                
                 | 
                              if (exponent === -1) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
                 | 
                                    
                             2                          | 
                
                 | 
                                td.push(this.greekSymbols[i] ?? '?')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    137
                 | 
                                    
                                                     | 
                
                 | 
                              } else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    138
                 | 
                                    
                             2                          | 
                
                 | 
                                td.push(`${this.greekSymbols[i] ?? '?'}<sup>${-exponent}</sup>`) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
                                                     | 
                
                 | 
                              }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
                 | 
                                    
                                                     | 
                
                 | 
                            }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    141
                 | 
                                    
                                                     | 
                
                 | 
                          }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    142
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    143
                 | 
                                    
                                                     | 
                
                 | 
                      }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    144
                 | 
                                    
                             14                          | 
                
                 | 
                      if (tn.length) rn.push(tn.join('')) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
                             14                          | 
                
                 | 
                      if (td.length) rd.push(td.join('')) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    146
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
                 | 
                                    
                             7                          | 
                
                 | 
                    if (rn.length === 0) rn.push('1') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                             7                          | 
                
                 | 
                    if (rd.length === 0) return rn.join(' + ') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
                 | 
                                    
                             3                          | 
                
                 | 
                    return rn.join(' + ') + ' / ' + rd.join(' + ') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    150
                 | 
                                    
                                                     | 
                
                 | 
                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    152
                 | 
                                    
                                                     | 
                
                 | 
                  /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    153
                 | 
                                    
                                                     | 
                
                 | 
                   * The "calc" code for evaluating the value.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
                 | 
                                    
                                                     | 
                
                 | 
                   */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
                 | 
                                    
                                                     | 
                
                 | 
                  toCalcFormula(): string { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    156
                 | 
                                    
                             5                          | 
                
                 | 
                    const r: string[] = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
                 | 
                                    
                             5                          | 
                
                 | 
                    for (const [exponents, coefficent] of Object.entries(this.coefficents)) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                             11                          | 
                
                 | 
                      const t: string[] = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    159
                 | 
                                    
                             11                          | 
                
                 | 
                      const f = coefficent.toString()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    160
                 | 
                                    
                             11                          | 
                
                 | 
                      if (f !== '1') t.push(f)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
                             11                          | 
                
                 | 
                      const dimensions = exponents.split(',') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
                             11                          | 
                
                 | 
                      for (let i = 0; i < dimensions.length; i++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    163
                 | 
                                    
                             20                          | 
                
                 | 
                        if (dimensions[i] !== '0') { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    164
                 | 
                                    
                             11                          | 
                
                 | 
                          if (dimensions[i] === '1') { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    165
                 | 
                                    
                             4                          | 
                
                 | 
                            t.push(this.latinSymbols[i] ?? '?')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
                                                     | 
                
                 | 
                          } else { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                             7                          | 
                
                 | 
                            t.push(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                              `${this.latinSymbols[i] ?? '?'}^${parseInt( | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                                dimensions[i] ?? '0',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                                10,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
                                                     | 
                
                 | 
                              )}`,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
                                                     | 
                
                 | 
                            )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                          }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                      }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                             11                          | 
                
                 | 
                      if (t.length) r.push(t.join('*')) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                             5                          | 
                
                 | 
                    if (r.length === 0) return '0'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                             4                          | 
                
                 | 
                    return r.join(' + ') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
                                                     | 
                
                 | 
                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    181
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                  /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                   * The GLSL code for evaluating the value.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                   */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                  toGLSLFormula(): string { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                             3                          | 
                
                 | 
                    const r: string[] = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                             3                          | 
                
                 | 
                    for (const [exponents, coefficent] of Object.entries(this.coefficents)) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                             7                          | 
                
                 | 
                      const t: string[] = []  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                             7                          | 
                
                 | 
                      const f = coefficent.toString()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                             7                          | 
                
                 | 
                      if (f !== '1') t.push(f + '.0')  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                             7                          | 
                
                 | 
                      const dimensions = exponents.split(',') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                             7                          | 
                
                 | 
                      for (let i = 0; i < dimensions.length; i++) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                             14                          | 
                
                 | 
                        if (dimensions[i] !== '0') { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                             8                          | 
                
                 | 
                          let exponent = parseInt(dimensions[i] ?? '0', 10)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                             8                          | 
                
                 | 
                          const recipricol = exponent < 0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                                                     | 
                
                 | 
                          // pow doesn't work for < 0  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                          // t.push(`pow(${this.symbols[i]},${exponent}.0)`) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                                                     | 
                
                 | 
                          // muliply instead  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                             8                          | 
                
                 | 
                          if (recipricol) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                             1                          | 
                
                 | 
                            t.push('1.0/(1.0') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    201
                 | 
                                    
                             1                          | 
                
                 | 
                            exponent = -exponent  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    202
                 | 
                                    
                                                     | 
                
                 | 
                          }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    203
                 | 
                                    
                             8                          | 
                
                 | 
                          t.push(  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    204
                 | 
                                    
                                                     | 
                
                 | 
                            (this.latinSymbols[i] ?? '?').repeat(exponent).split('').join('*'), | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    205
                 | 
                                    
                                                     | 
                
                 | 
                          )  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    206
                 | 
                                    
                             8                          | 
                
                 | 
                          if (recipricol) { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    207
                 | 
                                    
                             1                          | 
                
                 | 
                            t.push('1.0)') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    208
                 | 
                                    
                                                     | 
                
                 | 
                          }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                      }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    211
                 | 
                                    
                             7                          | 
                
                 | 
                      if (t.length) r.push(t.join('*')) | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    212
                 | 
                                    
                                                     | 
                
                 | 
                    }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    213
                 | 
                                    
                             3                          | 
                
                 | 
                    if (r.length === 0) return '0.0'  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    214
                 | 
                                    
                             2                          | 
                
                 | 
                    return r.join('+') | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    215
                 | 
                                    
                                                     | 
                
                 | 
                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    216
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    217
                 | 
                                    
                                                     | 
                
                 | 
                  /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    218
                 | 
                                    
                                                     | 
                
                 | 
                   * Clone this.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    219
                 | 
                                    
                                                     | 
                
                 | 
                   */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    220
                 | 
                                    
                                                     | 
                
                 | 
                  clone(): Polyrat { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    221
                 | 
                                    
                             1                          | 
                
                 | 
                    return new Polyrat(this.coefficents)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    222
                 | 
                                    
                                                     | 
                
                 | 
                  }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    223
                 | 
                                    
                                                     | 
                
                 | 
                }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    224
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    225
                 | 
                                    
                                                     | 
                
                 | 
                /**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    226
                 | 
                                    
                                                     | 
                
                 | 
                 * Parse the string and return it as a Polyrat.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    227
                 | 
                                    
                                                     | 
                
                 | 
                 */  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    228
                 | 
                                    
                             3                          | 
                
                 | 
                export const stringToPolyrat = (s: string): Polyrat => { | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    229
                 | 
                                    
                             1                          | 
                
                 | 
                  return new Polyrat(JSON.parse(s) as Coefficents)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    230
                 | 
                                    
                                                     | 
                
                 | 
                }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    231
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    232
                 | 
                                    
                                                     | 
                
                 | 
                export default Polyrat  | 
            
            
                                                        
            
                                    
            
            
                | 
                    233
                 | 
                                    
                                                     | 
                
                 | 
                 |