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bignumber.js 6.0 KB

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  1. //+ Jonas Raoni Soares Silva
  2. //@ http://jsfromhell.com/classes/bignumber [rev. #4]
  3. BigNumber = function(n, p, r){
  4. var o = this, i;
  5. if(n instanceof BigNumber){
  6. for(i in {precision: 0, roundType: 0, _s: 0, _f: 0}) o[i] = n[i];
  7. o._d = n._d.slice();
  8. return;
  9. }
  10. o.precision = isNaN(p = Math.abs(p)) ? BigNumber.defaultPrecision : p;
  11. o.roundType = isNaN(r = Math.abs(r)) ? BigNumber.defaultRoundType : r;
  12. o._s = (n += "").charAt(0) == "-";
  13. o._f = ((n = n.replace(/[^\d.]/g, "").split(".", 2))[0] = n[0].replace(/^0+/, "") || "0").length;
  14. for(i = (n = o._d = (n.join("") || "0").split("")).length; i; n[--i] = +n[i]);
  15. o.round();
  16. };
  17. with({$: BigNumber, o: BigNumber.prototype}){
  18. $.ROUND_HALF_EVEN = ($.ROUND_HALF_DOWN = ($.ROUND_HALF_UP = ($.ROUND_FLOOR = ($.ROUND_CEIL = ($.ROUND_DOWN = ($.ROUND_UP = 0) + 1) + 1) + 1) + 1) + 1) + 1;
  19. $.defaultPrecision = 40;
  20. $.defaultRoundType = $.ROUND_HALF_UP;
  21. o.add = function(n){
  22. if(this._s != (n = new BigNumber(n))._s)
  23. return n._s ^= 1, this.subtract(n);
  24. var o = new BigNumber(this), a = o._d, b = n._d, la = o._f,
  25. lb = n._f, n = Math.max(la, lb), i, r;
  26. la != lb && ((lb = la - lb) > 0 ? o._zeroes(b, lb, 1) : o._zeroes(a, -lb, 1));
  27. i = (la = a.length) == (lb = b.length) ? a.length : ((lb = la - lb) > 0 ? o._zeroes(b, lb) : o._zeroes(a, -lb)).length;
  28. for(r = 0; i; r = (a[--i] = a[i] + b[i] + r) / 10 >>> 0, a[i] %= 10);
  29. return r && ++n && a.unshift(r), o._f = n, o.round();
  30. };
  31. o.subtract = function(n){
  32. if(this._s != (n = new BigNumber(n))._s)
  33. return n._s ^= 1, this.add(n);
  34. var o = new BigNumber(this), c = o.abs().compare(n.abs()) + 1, a = c ? o : n, b = c ? n : o, la = a._f, lb = b._f, d = la, i, j;
  35. a = a._d, b = b._d, la != lb && ((lb = la - lb) > 0 ? o._zeroes(b, lb, 1) : o._zeroes(a, -lb, 1));
  36. for(i = (la = a.length) == (lb = b.length) ? a.length : ((lb = la - lb) > 0 ? o._zeroes(b, lb) : o._zeroes(a, -lb)).length; i;){
  37. if(a[--i] < b[i]){
  38. for(j = i; j && !a[--j]; a[j] = 9);
  39. --a[j], a[i] += 10;
  40. }
  41. b[i] = a[i] - b[i];
  42. }
  43. return c || (o._s ^= 1), o._f = d, o._d = b, o.round();
  44. };
  45. o.multiply = function(n){
  46. var o = new BigNumber(this), r = o._d.length >= (n = new BigNumber(n))._d.length, a = (r ? o : n)._d,
  47. b = (r ? n : o)._d, la = a.length, lb = b.length, x = new BigNumber, i, j, s;
  48. for(i = lb; i; r && s.unshift(r), x.set(x.add(new BigNumber(s.join("")))))
  49. for(s = (new Array(lb - --i)).join("0").split(""), r = 0, j = la; j; r += a[--j] * b[i], s.unshift(r % 10), r = (r / 10) >>> 0);
  50. return o._s = o._s != n._s, o._f = ((r = la + lb - o._f - n._f) >= (j = (o._d = x._d).length) ? this._zeroes(o._d, r - j + 1, 1).length : j) - r, o.round();
  51. };
  52. o.divide = function(n){
  53. if((n = new BigNumber(n)) == "0")
  54. throw new Error("Division by 0");
  55. else if(this == "0")
  56. return new BigNumber;
  57. var o = new BigNumber(this), a = o._d, b = n._d, la = a.length - o._f,
  58. lb = b.length - n._f, r = new BigNumber, i = 0, j, s, l, f = 1, c = 0, e = 0;
  59. r._s = o._s != n._s, r.precision = Math.max(o.precision, n.precision),
  60. r._f = +r._d.pop(), la != lb && o._zeroes(la > lb ? b : a, Math.abs(la - lb));
  61. n._f = b.length, b = n, b._s = false, b = b.round();
  62. for(n = new BigNumber; a[0] == "0"; a.shift());
  63. out:
  64. do{
  65. for(l = c = 0, n == "0" && (n._d = [], n._f = 0); i < a.length && n.compare(b) == -1; ++i){
  66. (l = i + 1 == a.length, (!f && ++c > 1 || (e = l && n == "0" && a[i] == "0")))
  67. && (r._f == r._d.length && ++r._f, r._d.push(0));
  68. (a[i] == "0" && n == "0") || (n._d.push(a[i]), ++n._f);
  69. if(e)
  70. break out;
  71. if((l && n.compare(b) == -1 && (r._f == r._d.length && ++r._f, 1)) || (l = 0))
  72. while(r._d.push(0), n._d.push(0), ++n._f, n.compare(b) == -1);
  73. }
  74. if(f = 0, n.compare(b) == -1 && !(l = 0))
  75. while(l ? r._d.push(0) : l = 1, n._d.push(0), ++n._f, n.compare(b) == -1);
  76. for(s = new BigNumber, j = 0; n.compare(y = s.add(b)) + 1 && ++j; s.set(y));
  77. n.set(n.subtract(s)), !l && r._f == r._d.length && ++r._f, r._d.push(j);
  78. }
  79. while((i < a.length || n != "0") && (r._d.length - r._f) <= r.precision);
  80. return r.round();
  81. };
  82. o.mod = function(n){
  83. return this.subtract(this.divide(n).intPart().multiply(n));
  84. };
  85. o.pow = function(n){
  86. var o = new BigNumber(this), i;
  87. if((n = (new BigNumber(n)).intPart()) == 0) return o.set(1);
  88. for(i = Math.abs(n); --i; o.set(o.multiply(this)));
  89. return n < 0 ? o.set((new BigNumber(1)).divide(o)) : o;
  90. };
  91. o.set = function(n){
  92. return this.constructor(n), this;
  93. };
  94. o.compare = function(n){
  95. var a = this, la = this._f, b = new BigNumber(n), lb = b._f, r = [-1, 1], i, l;
  96. if(a._s != b._s)
  97. return a._s ? -1 : 1;
  98. if(la != lb)
  99. return r[(la > lb) ^ a._s];
  100. for(la = (a = a._d).length, lb = (b = b._d).length, i = -1, l = Math.min(la, lb); ++i < l;)
  101. if(a[i] != b[i])
  102. return r[(a[i] > b[i]) ^ a._s];
  103. return la != lb ? r[(la > lb) ^ a._s] : 0;
  104. };
  105. o.negate = function(){
  106. var n = new BigNumber(this); return n._s ^= 1, n;
  107. };
  108. o.abs = function(){
  109. var n = new BigNumber(this); return n._s = 0, n;
  110. };
  111. o.intPart = function(){
  112. return new BigNumber((this._s ? "-" : "") + (this._d.slice(0, this._f).join("") || "0"));
  113. };
  114. o.valueOf = o.toString = function(){
  115. var o = this;
  116. return (o._s ? "-" : "") + (o._d.slice(0, o._f).join("") || "0") + (o._f != o._d.length ? "." + o._d.slice(o._f).join("") : "");
  117. };
  118. o._zeroes = function(n, l, t){
  119. var s = ["push", "unshift"][t || 0];
  120. for(++l; --l; n[s](0));
  121. return n;
  122. };
  123. o.round = function(){
  124. if("_rounding" in this) return this;
  125. var $ = BigNumber, r = this.roundType, b = this._d, d, p, n, x;
  126. for(this._rounding = true; this._f > 1 && !b[0]; --this._f, b.shift());
  127. for(d = this._f, p = this.precision + d, n = b[p]; b.length > d && !b[b.length -1]; b.pop());
  128. x = (this._s ? "-" : "") + (p - d ? "0." + this._zeroes([], p - d - 1).join("") : "") + 1;
  129. if(b.length > p){
  130. n && (r == $.DOWN ? false : r == $.UP ? true : r == $.CEIL ? !this._s
  131. : r == $.FLOOR ? this._s : r == $.HALF_UP ? n >= 5 : r == $.HALF_DOWN ? n > 5
  132. : r == $.HALF_EVEN ? n >= 5 && b[p - 1] & 1 : false) && this.add(x);
  133. b.splice(p, b.length - p);
  134. }
  135. return delete this._rounding, this;
  136. };
  137. }