gcd.js 2.9 KB

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  1. import { factory } from '../../utils/factory.js';
  2. import { createMatAlgo01xDSid } from '../../type/matrix/utils/matAlgo01xDSid.js';
  3. import { createMatAlgo04xSidSid } from '../../type/matrix/utils/matAlgo04xSidSid.js';
  4. import { createMatAlgo10xSids } from '../../type/matrix/utils/matAlgo10xSids.js';
  5. import { createMatrixAlgorithmSuite } from '../../type/matrix/utils/matrixAlgorithmSuite.js';
  6. import { gcdNumber } from '../../plain/number/index.js';
  7. var name = 'gcd';
  8. var dependencies = ['typed', 'matrix', 'equalScalar', 'BigNumber', 'DenseMatrix'];
  9. export var createGcd = /* #__PURE__ */factory(name, dependencies, _ref => {
  10. var {
  11. typed,
  12. matrix,
  13. equalScalar,
  14. BigNumber,
  15. DenseMatrix
  16. } = _ref;
  17. var matAlgo01xDSid = createMatAlgo01xDSid({
  18. typed
  19. });
  20. var matAlgo04xSidSid = createMatAlgo04xSidSid({
  21. typed,
  22. equalScalar
  23. });
  24. var matAlgo10xSids = createMatAlgo10xSids({
  25. typed,
  26. DenseMatrix
  27. });
  28. var matrixAlgorithmSuite = createMatrixAlgorithmSuite({
  29. typed,
  30. matrix
  31. });
  32. var gcdTypes = 'number | BigNumber | Fraction | Matrix | Array';
  33. var gcdManySignature = {};
  34. gcdManySignature["".concat(gcdTypes, ", ").concat(gcdTypes, ", ...").concat(gcdTypes)] = typed.referToSelf(self => (a, b, args) => {
  35. var res = self(a, b);
  36. for (var i = 0; i < args.length; i++) {
  37. res = self(res, args[i]);
  38. }
  39. return res;
  40. });
  41. /**
  42. * Calculate the greatest common divisor for two or more values or arrays.
  43. *
  44. * For matrices, the function is evaluated element wise.
  45. *
  46. * Syntax:
  47. *
  48. * math.gcd(a, b)
  49. * math.gcd(a, b, c, ...)
  50. *
  51. * Examples:
  52. *
  53. * math.gcd(8, 12) // returns 4
  54. * math.gcd(-4, 6) // returns 2
  55. * math.gcd(25, 15, -10) // returns 5
  56. *
  57. * math.gcd([8, -4], [12, 6]) // returns [4, 2]
  58. *
  59. * See also:
  60. *
  61. * lcm, xgcd
  62. *
  63. * @param {... number | BigNumber | Fraction | Array | Matrix} args Two or more integer numbers
  64. * @return {number | BigNumber | Fraction | Array | Matrix} The greatest common divisor
  65. */
  66. return typed(name, {
  67. 'number, number': gcdNumber,
  68. 'BigNumber, BigNumber': _gcdBigNumber,
  69. 'Fraction, Fraction': (x, y) => x.gcd(y)
  70. }, matrixAlgorithmSuite({
  71. SS: matAlgo04xSidSid,
  72. DS: matAlgo01xDSid,
  73. Ss: matAlgo10xSids
  74. }), gcdManySignature);
  75. /**
  76. * Calculate gcd for BigNumbers
  77. * @param {BigNumber} a
  78. * @param {BigNumber} b
  79. * @returns {BigNumber} Returns greatest common denominator of a and b
  80. * @private
  81. */
  82. function _gcdBigNumber(a, b) {
  83. if (!a.isInt() || !b.isInt()) {
  84. throw new Error('Parameters in function gcd must be integer numbers');
  85. }
  86. // https://en.wikipedia.org/wiki/Euclidean_algorithm
  87. var zero = new BigNumber(0);
  88. while (!b.isZero()) {
  89. var r = a.mod(b);
  90. a = b;
  91. b = r;
  92. }
  93. return a.lt(zero) ? a.neg() : a;
  94. }
  95. });