root / trunk / web / dojo / dojox / math / BigInteger.js @ 10
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1 | 9 | andrej.cim | /*
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2 | Copyright (c) 2004-2010, The Dojo Foundation All Rights Reserved.
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3 | Available via Academic Free License >= 2.1 OR the modified BSD license.
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4 | see: http://dojotoolkit.org/license for details
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5 | */
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6 | |||
7 | |||
8 | if(!dojo._hasResource["dojox.math.BigInteger"]){ |
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9 | dojo._hasResource["dojox.math.BigInteger"]=true; |
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10 | dojo.provide("dojox.math.BigInteger");
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11 | dojo.experimental("dojox.math.BigInteger");
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12 | (function(){
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13 | var _1;
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14 | var _2=244837814094590; |
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15 | var _3=((_2&16777215)==15715070); |
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16 | function _4(a,b,c){ |
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17 | if(a!=null){ |
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18 | if("number"==typeof a){ |
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19 | this._fromNumber(a,b,c);
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20 | }else{
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21 | if(!b&&"string"!=typeof a){ |
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22 | this._fromString(a,256); |
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23 | }else{
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24 | this._fromString(a,b);
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25 | } |
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26 | } |
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27 | } |
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28 | }; |
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29 | function _5(){ |
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30 | return new _4(null); |
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31 | }; |
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32 | function _6(i,x,w,j,c,n){ |
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33 | while(--n>=0){ |
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34 | var v=x*this[i++]+w[j]+c; |
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35 | c=Math.floor(v/67108864);
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36 | w[j++]=v&67108863;
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37 | } |
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38 | return c;
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39 | }; |
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40 | function _7(i,x,w,j,c,n){ |
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41 | var xl=x&32767,xh=x>>15; |
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42 | while(--n>=0){ |
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43 | var l=this[i]&32767; |
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44 | var h=this[i++]>>15; |
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45 | var m=xh*l+h*xl;
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46 | l=xl*l+((m&32767)<<15)+w[j]+(c&1073741823); |
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47 | c=(l>>>30)+(m>>>15)+xh*h+(c>>>30); |
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48 | w[j++]=l&1073741823;
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49 | } |
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50 | return c;
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51 | }; |
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52 | function _8(i,x,w,j,c,n){ |
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53 | var xl=x&16383,xh=x>>14; |
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54 | while(--n>=0){ |
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55 | var l=this[i]&16383; |
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56 | var h=this[i++]>>14; |
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57 | var m=xh*l+h*xl;
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58 | l=xl*l+((m&16383)<<14)+w[j]+c; |
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59 | c=(l>>28)+(m>>14)+xh*h; |
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60 | w[j++]=l&268435455;
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61 | } |
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62 | return c;
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63 | }; |
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64 | if(_3&&(navigator.appName=="Microsoft Internet Explorer")){ |
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65 | _4.prototype.am=_7; |
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66 | _1=30;
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67 | }else{
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68 | if(_3&&(navigator.appName!="Netscape")){ |
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69 | _4.prototype.am=_6; |
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70 | _1=26;
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71 | }else{
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72 | _4.prototype.am=_8; |
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73 | _1=28;
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74 | } |
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75 | } |
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76 | var _9=52; |
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77 | var _a="0123456789abcdefghijklmnopqrstuvwxyz"; |
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78 | var _b=[];
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79 | var rr,vv;
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80 | rr="0".charCodeAt(0); |
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81 | for(vv=0;vv<=9;++vv){ |
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82 | _b[rr++]=vv; |
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83 | } |
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84 | rr="a".charCodeAt(0); |
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85 | for(vv=10;vv<36;++vv){ |
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86 | _b[rr++]=vv; |
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87 | } |
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88 | rr="A".charCodeAt(0); |
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89 | for(vv=10;vv<36;++vv){ |
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90 | _b[rr++]=vv; |
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91 | } |
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92 | function _c(n){ |
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93 | return _a.charAt(n);
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94 | }; |
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95 | function _d(s,i){ |
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96 | var c=_b[s.charCodeAt(i)];
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97 | return (c==null)?-1:c; |
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98 | }; |
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99 | function _e(r){ |
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100 | for(var i=this.t-1;i>=0;--i){ |
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101 | r[i]=this[i];
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102 | } |
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103 | r.t=this.t;
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104 | r.s=this.s;
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105 | }; |
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106 | function _f(x){ |
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107 | this.t=1; |
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108 | this.s=(x<0)?-1:0; |
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109 | if(x>0){ |
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110 | this[0]=x; |
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111 | }else{
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112 | if(x<-1){ |
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113 | this[0]=x+_DV; |
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114 | }else{
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115 | this.t=0; |
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116 | } |
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117 | } |
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118 | }; |
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119 | function nbv(i){ |
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120 | var r=_5();
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121 | r._fromInt(i); |
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122 | return r;
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123 | }; |
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124 | function _10(s,b){ |
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125 | var k;
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126 | if(b==16){ |
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127 | k=4;
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128 | }else{
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129 | if(b==8){ |
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130 | k=3;
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131 | }else{
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132 | if(b==256){ |
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133 | k=8;
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134 | }else{
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135 | if(b==2){ |
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136 | k=1;
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137 | }else{
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138 | if(b==32){ |
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139 | k=5;
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140 | }else{
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141 | if(b==4){ |
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142 | k=2;
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143 | }else{
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144 | this.fromRadix(s,b);
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145 | return;
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146 | } |
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147 | } |
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148 | } |
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149 | } |
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150 | } |
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151 | } |
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152 | this.t=0; |
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153 | this.s=0; |
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154 | var i=s.length,mi=false,sh=0; |
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155 | while(--i>=0){ |
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156 | var x=(k==8)?s[i]&255:_d(s,i); |
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157 | if(x<0){ |
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158 | if(s.charAt(i)=="-"){ |
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159 | mi=true;
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160 | } |
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161 | continue;
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162 | } |
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163 | mi=false;
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164 | if(sh==0){ |
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165 | this[this.t++]=x; |
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166 | }else{
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167 | if(sh+k>this._DB){ |
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168 | this[this.t-1]|=(x&((1<<(this._DB-sh))-1))<<sh; |
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169 | this[this.t++]=(x>>(this._DB-sh)); |
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170 | }else{
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171 | this[this.t-1]|=x<<sh; |
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172 | } |
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173 | } |
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174 | sh+=k; |
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175 | if(sh>=this._DB){ |
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176 | sh-=this._DB;
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177 | } |
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178 | } |
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179 | if(k==8&&(s[0]&128)!=0){ |
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180 | this.s=-1; |
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181 | if(sh>0){ |
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182 | this[this.t-1]|=((1<<(this._DB-sh))-1)<<sh; |
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183 | } |
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184 | } |
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185 | this._clamp();
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186 | if(mi){
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187 | _4.ZERO._subTo(this,this); |
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188 | } |
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189 | }; |
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190 | function _11(){ |
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191 | var c=this.s&this._DM; |
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192 | while(this.t>0&&this[this.t-1]==c){ |
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193 | --this.t;
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194 | } |
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195 | }; |
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196 | function _12(b){ |
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197 | if(this.s<0){ |
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198 | return "-"+this.negate().toString(b); |
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199 | } |
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200 | var k;
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201 | if(b==16){ |
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202 | k=4;
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203 | }else{
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204 | if(b==8){ |
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205 | k=3;
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206 | }else{
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207 | if(b==2){ |
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208 | k=1;
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209 | }else{
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210 | if(b==32){ |
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211 | k=5;
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212 | }else{
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213 | if(b==4){ |
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214 | k=2;
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215 | }else{
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216 | return this._toRadix(b); |
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217 | } |
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218 | } |
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219 | } |
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220 | } |
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221 | } |
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222 | var km=(1<<k)-1,d,m=false,r="",i=this.t; |
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223 | var p=this._DB-(i*this._DB)%k; |
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224 | if(i-->0){ |
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225 | if(p<this._DB&&(d=this[i]>>p)>0){ |
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226 | m=true;
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227 | r=_c(d); |
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228 | } |
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229 | while(i>=0){ |
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230 | if(p<k){
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231 | d=(this[i]&((1<<p)-1))<<(k-p); |
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232 | d|=this[--i]>>(p+=this._DB-k); |
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233 | }else{
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234 | d=(this[i]>>(p-=k))&km;
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235 | if(p<=0){ |
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236 | p+=this._DB;
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237 | --i; |
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238 | } |
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239 | } |
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240 | if(d>0){ |
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241 | m=true;
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242 | } |
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243 | if(m){
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244 | r+=_c(d); |
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245 | } |
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246 | } |
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247 | } |
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248 | return m?r:"0"; |
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249 | }; |
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250 | function _13(){ |
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251 | var r=_5();
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252 | _4.ZERO._subTo(this,r);
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253 | return r;
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254 | }; |
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255 | function _14(){ |
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256 | return (this.s<0)?this.negate():this; |
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257 | }; |
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258 | function _15(a){ |
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259 | var r=this.s-a.s; |
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260 | if(r){
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261 | return r;
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262 | } |
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263 | var i=this.t; |
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264 | r=i-a.t; |
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265 | if(r){
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266 | return r;
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267 | } |
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268 | while(--i>=0){ |
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269 | if((r=this[i]-a[i])){ |
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270 | return r;
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271 | } |
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272 | } |
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273 | return 0; |
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274 | }; |
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275 | function _16(x){ |
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276 | var r=1,t; |
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277 | if((t=x>>>16)){ |
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278 | x=t; |
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279 | r+=16;
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280 | } |
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281 | if((t=x>>8)){ |
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282 | x=t; |
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283 | r+=8;
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284 | } |
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285 | if((t=x>>4)){ |
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286 | x=t; |
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287 | r+=4;
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288 | } |
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289 | if((t=x>>2)){ |
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290 | x=t; |
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291 | r+=2;
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292 | } |
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293 | if((t=x>>1)){ |
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294 | x=t; |
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295 | r+=1;
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296 | } |
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297 | return r;
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298 | }; |
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299 | function _17(){ |
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300 | if(this.t<=0){ |
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301 | return 0; |
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302 | } |
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303 | return this._DB*(this.t-1)+_16(this[this.t-1]^(this.s&this._DM)); |
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304 | }; |
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305 | function _18(n,r){ |
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306 | var i;
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307 | for(i=this.t-1;i>=0;--i){ |
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308 | r[i+n]=this[i];
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309 | } |
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310 | for(i=n-1;i>=0;--i){ |
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311 | r[i]=0;
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312 | } |
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313 | r.t=this.t+n;
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314 | r.s=this.s;
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315 | }; |
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316 | function _19(n,r){ |
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317 | for(var i=n;i<this.t;++i){ |
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318 | r[i-n]=this[i];
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319 | } |
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320 | r.t=Math.max(this.t-n,0); |
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321 | r.s=this.s;
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322 | }; |
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323 | function _1a(n,r){ |
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324 | var bs=n%this._DB; |
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325 | var cbs=this._DB-bs; |
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326 | var bm=(1<<cbs)-1; |
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327 | var ds=Math.floor(n/this._DB),c=(this.s<<bs)&this._DM,i; |
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328 | for(i=this.t-1;i>=0;--i){ |
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329 | r[i+ds+1]=(this[i]>>cbs)|c; |
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330 | c=(this[i]&bm)<<bs;
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331 | } |
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332 | for(i=ds-1;i>=0;--i){ |
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333 | r[i]=0;
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334 | } |
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335 | r[ds]=c; |
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336 | r.t=this.t+ds+1; |
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337 | r.s=this.s;
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338 | r._clamp(); |
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339 | }; |
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340 | function _1b(n,r){ |
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341 | r.s=this.s;
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342 | var ds=Math.floor(n/this._DB); |
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343 | if(ds>=this.t){ |
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344 | r.t=0;
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345 | return;
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346 | } |
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347 | var bs=n%this._DB; |
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348 | var cbs=this._DB-bs; |
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349 | var bm=(1<<bs)-1; |
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350 | r[0]=this[ds]>>bs; |
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351 | for(var i=ds+1;i<this.t;++i){ |
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352 | r[i-ds-1]|=(this[i]&bm)<<cbs; |
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353 | r[i-ds]=this[i]>>bs;
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354 | } |
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355 | if(bs>0){ |
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356 | r[this.t-ds-1]|=(this.s&bm)<<cbs; |
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357 | } |
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358 | r.t=this.t-ds;
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359 | r._clamp(); |
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360 | }; |
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361 | function _1c(a,r){ |
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362 | var i=0,c=0,m=Math.min(a.t,this.t); |
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363 | while(i<m){
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364 | c+=this[i]-a[i];
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365 | r[i++]=c&this._DM;
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366 | c>>=this._DB;
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367 | } |
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368 | if(a.t<this.t){ |
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369 | c-=a.s; |
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370 | while(i<this.t){ |
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371 | c+=this[i];
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372 | r[i++]=c&this._DM;
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373 | c>>=this._DB;
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374 | } |
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375 | c+=this.s;
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376 | }else{
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377 | c+=this.s;
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378 | while(i<a.t){
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379 | c-=a[i]; |
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380 | r[i++]=c&this._DM;
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381 | c>>=this._DB;
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382 | } |
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383 | c-=a.s; |
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384 | } |
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385 | r.s=(c<0)?-1:0; |
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386 | if(c<-1){ |
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387 | r[i++]=this._DV+c;
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388 | }else{
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389 | if(c>0){ |
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390 | r[i++]=c; |
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391 | } |
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392 | } |
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393 | r.t=i; |
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394 | r._clamp(); |
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395 | }; |
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396 | function _1d(a,r){ |
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397 | var x=this.abs(),y=a.abs(); |
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398 | var i=x.t;
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399 | r.t=i+y.t; |
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400 | while(--i>=0){ |
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401 | r[i]=0;
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402 | } |
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403 | for(i=0;i<y.t;++i){ |
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404 | r[i+x.t]=x.am(0,y[i],r,i,0,x.t); |
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405 | } |
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406 | r.s=0;
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407 | r._clamp(); |
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408 | if(this.s!=a.s){ |
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409 | _4.ZERO._subTo(r,r); |
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410 | } |
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411 | }; |
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412 | function _1e(r){ |
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413 | var x=this.abs(); |
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414 | var i=r.t=2*x.t; |
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415 | while(--i>=0){ |
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416 | r[i]=0;
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417 | } |
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418 | for(i=0;i<x.t-1;++i){ |
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419 | var c=x.am(i,x[i],r,2*i,0,1); |
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420 | if((r[i+x.t]+=x.am(i+1,2*x[i],r,2*i+1,c,x.t-i-1))>=x._DV){ |
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421 | r[i+x.t]-=x._DV; |
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422 | r[i+x.t+1]=1; |
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423 | } |
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424 | } |
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425 | if(r.t>0){ |
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426 | r[r.t-1]+=x.am(i,x[i],r,2*i,0,1); |
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427 | } |
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428 | r.s=0;
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429 | r._clamp(); |
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430 | }; |
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431 | function _1f(m,q,r){ |
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432 | var pm=m.abs();
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433 | if(pm.t<=0){ |
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434 | return;
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435 | } |
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436 | var pt=this.abs(); |
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437 | if(pt.t<pm.t){
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438 | if(q!=null){ |
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439 | q._fromInt(0);
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440 | } |
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441 | if(r!=null){ |
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442 | this._copyTo(r);
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443 | } |
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444 | return;
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445 | } |
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446 | if(r==null){ |
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447 | r=_5(); |
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448 | } |
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449 | var y=_5(),ts=this.s,ms=m.s; |
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450 | var nsh=this._DB-_16(pm[pm.t-1]); |
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451 | if(nsh>0){ |
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452 | pm._lShiftTo(nsh,y); |
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453 | pt._lShiftTo(nsh,r); |
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454 | }else{
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455 | pm._copyTo(y); |
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456 | pt._copyTo(r); |
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457 | } |
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458 | var ys=y.t;
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459 | var y0=y[ys-1]; |
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460 | if(y0==0){ |
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461 | return;
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462 | } |
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463 | var yt=y0*(1<<this._F1)+((ys>1)?y[ys-2]>>this._F2:0); |
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464 | var d1=this._FV/yt,d2=(1<<this._F1)/yt,e=1<<this._F2; |
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465 | var i=r.t,j=i-ys,t=(q==null)?_5():q; |
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466 | y._dlShiftTo(j,t); |
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467 | if(r.compareTo(t)>=0){ |
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468 | r[r.t++]=1;
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469 | r._subTo(t,r); |
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470 | } |
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471 | _4.ONE._dlShiftTo(ys,t); |
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472 | t._subTo(y,y); |
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473 | while(y.t<ys){
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474 | y[y.t++]=0;
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475 | } |
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476 | while(--j>=0){ |
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477 | var qd=(r[--i]==y0)?this._DM:Math.floor(r[i]*d1+(r[i-1]+e)*d2); |
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478 | if((r[i]+=y.am(0,qd,r,j,0,ys))<qd){ |
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479 | y._dlShiftTo(j,t); |
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480 | r._subTo(t,r); |
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481 | while(r[i]<--qd){
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482 | r._subTo(t,r); |
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483 | } |
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484 | } |
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485 | } |
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486 | if(q!=null){ |
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487 | r._drShiftTo(ys,q); |
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488 | if(ts!=ms){
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489 | _4.ZERO._subTo(q,q); |
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490 | } |
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491 | } |
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492 | r.t=ys; |
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493 | r._clamp(); |
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494 | if(nsh>0){ |
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495 | r._rShiftTo(nsh,r); |
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496 | } |
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497 | if(ts<0){ |
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498 | _4.ZERO._subTo(r,r); |
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499 | } |
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500 | }; |
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501 | function _20(a){ |
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502 | var r=_5();
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503 | this.abs()._divRemTo(a,null,r); |
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504 | if(this.s<0&&r.compareTo(_4.ZERO)>0){ |
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505 | a._subTo(r,r); |
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506 | } |
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507 | return r;
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508 | }; |
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509 | function _21(m){ |
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510 | this.m=m;
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511 | }; |
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512 | function _22(x){ |
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513 | if(x.s<0||x.compareTo(this.m)>=0){ |
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514 | return x.mod(this.m); |
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515 | }else{
|
||
516 | return x;
|
||
517 | } |
||
518 | }; |
||
519 | function _23(x){ |
||
520 | return x;
|
||
521 | }; |
||
522 | function _24(x){ |
||
523 | x._divRemTo(this.m,null,x); |
||
524 | }; |
||
525 | function _25(x,y,r){ |
||
526 | x._multiplyTo(y,r); |
||
527 | this.reduce(r);
|
||
528 | }; |
||
529 | function _26(x,r){ |
||
530 | x._squareTo(r); |
||
531 | this.reduce(r);
|
||
532 | }; |
||
533 | dojo.extend(_21,{convert:_22,revert:_23,reduce:_24,mulTo:_25,sqrTo:_26}); |
||
534 | function _27(){ |
||
535 | if(this.t<1){ |
||
536 | return 0; |
||
537 | } |
||
538 | var x=this[0]; |
||
539 | if((x&1)==0){ |
||
540 | return 0; |
||
541 | } |
||
542 | var y=x&3; |
||
543 | y=(y*(2-(x&15)*y))&15; |
||
544 | y=(y*(2-(x&255)*y))&255; |
||
545 | y=(y*(2-(((x&65535)*y)&65535)))&65535; |
||
546 | y=(y*(2-x*y%this._DV))%this._DV; |
||
547 | return (y>0)?this._DV-y:-y; |
||
548 | }; |
||
549 | function _28(m){ |
||
550 | this.m=m;
|
||
551 | this.mp=m._invDigit();
|
||
552 | this.mpl=this.mp&32767; |
||
553 | this.mph=this.mp>>15; |
||
554 | this.um=(1<<(m._DB-15))-1; |
||
555 | this.mt2=2*m.t; |
||
556 | }; |
||
557 | function _29(x){ |
||
558 | var r=_5();
|
||
559 | x.abs()._dlShiftTo(this.m.t,r);
|
||
560 | r._divRemTo(this.m,null,r); |
||
561 | if(x.s<0&&r.compareTo(_4.ZERO)>0){ |
||
562 | this.m._subTo(r,r);
|
||
563 | } |
||
564 | return r;
|
||
565 | }; |
||
566 | function _2a(x){ |
||
567 | var r=_5();
|
||
568 | x._copyTo(r); |
||
569 | this.reduce(r);
|
||
570 | return r;
|
||
571 | }; |
||
572 | function _2b(x){ |
||
573 | while(x.t<=this.mt2){ |
||
574 | x[x.t++]=0;
|
||
575 | } |
||
576 | for(var i=0;i<this.m.t;++i){ |
||
577 | var j=x[i]&32767; |
||
578 | var u0=(j*this.mpl+(((j*this.mph+(x[i]>>15)*this.mpl)&this.um)<<15))&x._DM; |
||
579 | j=i+this.m.t;
|
||
580 | x[j]+=this.m.am(0,u0,x,i,0,this.m.t); |
||
581 | while(x[j]>=x._DV){
|
||
582 | x[j]-=x._DV; |
||
583 | x[++j]++; |
||
584 | } |
||
585 | } |
||
586 | x._clamp(); |
||
587 | x._drShiftTo(this.m.t,x);
|
||
588 | if(x.compareTo(this.m)>=0){ |
||
589 | x._subTo(this.m,x);
|
||
590 | } |
||
591 | }; |
||
592 | function _2c(x,r){ |
||
593 | x._squareTo(r); |
||
594 | this.reduce(r);
|
||
595 | }; |
||
596 | function _2d(x,y,r){ |
||
597 | x._multiplyTo(y,r); |
||
598 | this.reduce(r);
|
||
599 | }; |
||
600 | dojo.extend(_28,{convert:_29,revert:_2a,reduce:_2b,mulTo:_2d,sqrTo:_2c}); |
||
601 | function _2e(){ |
||
602 | return ((this.t>0)?(this[0]&1):this.s)==0; |
||
603 | }; |
||
604 | function _2f(e,z){ |
||
605 | if(e>4294967295||e<1){ |
||
606 | return _4.ONE;
|
||
607 | } |
||
608 | var r=_5(),r2=_5(),g=z.convert(this),i=_16(e)-1; |
||
609 | g._copyTo(r); |
||
610 | while(--i>=0){ |
||
611 | z.sqrTo(r,r2); |
||
612 | if((e&(1<<i))>0){ |
||
613 | z.mulTo(r2,g,r); |
||
614 | }else{
|
||
615 | var t=r;
|
||
616 | r=r2; |
||
617 | r2=t; |
||
618 | } |
||
619 | } |
||
620 | return z.revert(r);
|
||
621 | }; |
||
622 | function _30(e,m){ |
||
623 | var z;
|
||
624 | if(e<256||m._isEven()){ |
||
625 | z=new _21(m);
|
||
626 | }else{
|
||
627 | z=new _28(m);
|
||
628 | } |
||
629 | return this._exp(e,z); |
||
630 | }; |
||
631 | dojo.extend(_4,{_DB:_1,_DM:(1<<_1)-1,_DV:1<<_1,_FV:Math.pow(2,_9),_F1:_9-_1,_F2:2*_1-_9,_copyTo:_e,_fromInt:_f,_fromString:_10,_clamp:_11,_dlShiftTo:_18,_drShiftTo:_19,_lShiftTo:_1a,_rShiftTo:_1b,_subTo:_1c,_multiplyTo:_1d,_squareTo:_1e,_divRemTo:_1f,_invDigit:_27,_isEven:_2e,_exp:_2f,toString:_12,negate:_13,abs:_14,compareTo:_15,bitLength:_17,mod:_20,modPowInt:_30}); |
||
632 | dojo._mixin(_4,{ZERO:nbv(0),ONE:nbv(1),_nbi:_5,_nbv:nbv,_nbits:_16,_Montgomery:_28}); |
||
633 | dojox.math.BigInteger=_4; |
||
634 | })(); |
||
635 | } |