author | bpb |
Thu, 06 Jun 2013 16:45:25 -0700 | |
changeset 18145 | 39484c6a0c61 |
child 18537 | 2ae90e54f001 |
permissions | -rw-r--r-- |
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/* |
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* Copyright (c) 2013, Oracle and/or its affiliates. All rights reserved. |
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* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. |
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* |
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* This code is free software; you can redistribute it and/or modify it |
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* under the terms of the GNU General Public License version 2 only, as |
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* published by the Free Software Foundation. Oracle designates this |
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* particular file as subject to the "Classpath" exception as provided |
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* by Oracle in the LICENSE file that accompanied this code. |
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* |
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* This code is distributed in the hope that it will be useful, but WITHOUT |
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* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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* version 2 for more details (a copy is included in the LICENSE file that |
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* accompanied this code). |
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* |
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* You should have received a copy of the GNU General Public License version |
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* 2 along with this work; if not, write to the Free Software Foundation, |
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* Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. |
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* |
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* Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA |
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* or visit www.oracle.com if you need additional information or have any |
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* questions. |
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*/ |
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package sun.misc; |
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|
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import java.math.BigInteger; |
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import java.util.Arrays; |
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//@ model import org.jmlspecs.models.JMLMath; |
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/** |
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* A simple big integer package specifically for floating point base conversion. |
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*/ |
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public /*@ spec_bigint_math @*/ class FDBigInteger { |
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// |
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// This class contains many comments that start with "/*@" mark. |
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// They are behavourial specification in |
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// the Java Modelling Language (JML): |
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// http://www.eecs.ucf.edu/~leavens/JML//index.shtml |
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// |
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|
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/*@ |
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@ public pure model static \bigint UNSIGNED(int v) { |
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@ return v >= 0 ? v : v + (((\bigint)1) << 32); |
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@ } |
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@ |
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@ public pure model static \bigint UNSIGNED(long v) { |
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@ return v >= 0 ? v : v + (((\bigint)1) << 64); |
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@ } |
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@ |
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@ public pure model static \bigint AP(int[] data, int len) { |
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@ return (\sum int i; 0 <= 0 && i < len; UNSIGNED(data[i]) << (i*32)); |
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@ } |
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@ |
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@ public pure model static \bigint pow52(int p5, int p2) { |
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@ ghost \bigint v = 1; |
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@ for (int i = 0; i < p5; i++) v *= 5; |
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@ return v << p2; |
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@ } |
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@ |
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@ public pure model static \bigint pow10(int p10) { |
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@ return pow52(p10, p10); |
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@ } |
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@*/ |
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static final int[] SMALL_5_POW = { |
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1, |
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5, |
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5 * 5, |
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5 * 5 * 5, |
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5 * 5 * 5 * 5, |
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5 * 5 * 5 * 5 * 5, |
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5 * 5 * 5 * 5 * 5 * 5, |
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5 * 5 * 5 * 5 * 5 * 5 * 5, |
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5 * 5 * 5 * 5 * 5 * 5 * 5 * 5, |
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5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5, |
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5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5, |
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5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5, |
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5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5, |
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5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 |
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}; |
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static final long[] LONG_5_POW = { |
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1L, |
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5L, |
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5L * 5, |
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5L * 5 * 5, |
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5L * 5 * 5 * 5, |
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5L * 5 * 5 * 5 * 5, |
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}; |
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// Maximum size of cache of powers of 5 as FDBigIntegers. |
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private static final int MAX_FIVE_POW = 340; |
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// Cache of big powers of 5 as FDBigIntegers. |
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private static final FDBigInteger POW_5_CACHE[]; |
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119 |
|
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// Initialize FDBigInteger cache of powers of 5. |
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static { |
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POW_5_CACHE = new FDBigInteger[MAX_FIVE_POW]; |
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int i = 0; |
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while (i < SMALL_5_POW.length) { |
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FDBigInteger pow5 = new FDBigInteger(new int[]{SMALL_5_POW[i]}, 0); |
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126 |
pow5.makeImmutable(); |
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POW_5_CACHE[i] = pow5; |
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i++; |
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129 |
} |
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130 |
FDBigInteger prev = POW_5_CACHE[i - 1]; |
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131 |
while (i < MAX_FIVE_POW) { |
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POW_5_CACHE[i] = prev = prev.mult(5); |
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prev.makeImmutable(); |
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134 |
i++; |
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135 |
} |
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136 |
} |
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137 |
|
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138 |
// Zero as an FDBigInteger. |
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139 |
public static final FDBigInteger ZERO = new FDBigInteger(new int[0], 0); |
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140 |
|
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141 |
// Ensure ZERO is immutable. |
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static { |
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143 |
ZERO.makeImmutable(); |
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144 |
} |
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145 |
|
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146 |
// Constant for casting an int to a long via bitwise AND. |
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147 |
private final static long LONG_MASK = 0xffffffffL; |
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148 |
|
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149 |
//@ spec_public non_null; |
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150 |
private int data[]; // value: data[0] is least significant |
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151 |
//@ spec_public; |
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152 |
private int offset; // number of least significant zero padding ints |
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153 |
//@ spec_public; |
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|
154 |
private int nWords; // data[nWords-1]!=0, all values above are zero |
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|
155 |
// if nWords==0 -> this FDBigInteger is zero |
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|
156 |
//@ spec_public; |
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|
157 |
private boolean isImmutable = false; |
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|
158 |
|
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159 |
/*@ |
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160 |
@ public invariant 0 <= nWords && nWords <= data.length && offset >= 0; |
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161 |
@ public invariant nWords == 0 ==> offset == 0; |
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162 |
@ public invariant nWords > 0 ==> data[nWords - 1] != 0; |
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163 |
@ public invariant (\forall int i; nWords <= i && i < data.length; data[i] == 0); |
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164 |
@ public pure model \bigint value() { |
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165 |
@ return AP(data, nWords) << (offset*32); |
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166 |
@ } |
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|
167 |
@*/ |
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|
168 |
|
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|
169 |
/** |
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170 |
* Constructs an <code>FDBigInteger</code> from data and padding. The |
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171 |
* <code>data</code> parameter has the least significant <code>int</code> at |
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172 |
* the zeroth index. The <code>offset</code> parameter gives the number of |
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173 |
* zero <code>int</code>s to be inferred below the least significant element |
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|
174 |
* of <code>data</code>. |
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|
175 |
* |
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|
176 |
* @param data An array containing all non-zero <code>int</code>s of the value. |
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|
177 |
* @param offset An offset indicating the number of zero <code>int</code>s to pad |
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178 |
* below the least significant element of <code>data</code>. |
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|
179 |
*/ |
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|
180 |
/*@ |
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|
181 |
@ requires data != null && offset >= 0; |
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|
182 |
@ ensures this.value() == \old(AP(data, data.length) << (offset*32)); |
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183 |
@ ensures this.data == \old(data); |
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|
184 |
@*/ |
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|
185 |
private FDBigInteger(int[] data, int offset) { |
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|
186 |
this.data = data; |
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|
187 |
this.offset = offset; |
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|
188 |
this.nWords = data.length; |
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|
189 |
trimLeadingZeros(); |
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|
190 |
} |
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|
191 |
|
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|
192 |
/** |
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|
193 |
* Constructs an <code>FDBigInteger</code> from a starting value and some |
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|
194 |
* decimal digits. |
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|
195 |
* |
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|
196 |
* @param lValue The starting value. |
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|
197 |
* @param digits The decimal digits. |
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|
198 |
* @param kDigits The initial index into <code>digits</code>. |
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|
199 |
* @param nDigits The final index into <code>digits</code>. |
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|
200 |
*/ |
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|
201 |
/*@ |
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|
202 |
@ requires digits != null; |
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|
203 |
@ requires 0 <= kDigits && kDigits <= nDigits && nDigits <= digits.length; |
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|
204 |
@ requires (\forall int i; 0 <= i && i < nDigits; '0' <= digits[i] && digits[i] <= '9'); |
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|
205 |
@ ensures this.value() == \old(lValue * pow10(nDigits - kDigits) + (\sum int i; kDigits <= i && i < nDigits; (digits[i] - '0') * pow10(nDigits - i - 1))); |
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|
206 |
@*/ |
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|
207 |
public FDBigInteger(long lValue, char[] digits, int kDigits, int nDigits) { |
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|
208 |
int n = Math.max((nDigits + 8) / 9, 2); // estimate size needed. |
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|
209 |
data = new int[n]; // allocate enough space |
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|
210 |
data[0] = (int) lValue; // starting value |
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|
211 |
data[1] = (int) (lValue >>> 32); |
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|
212 |
offset = 0; |
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diff
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|
213 |
nWords = 2; |
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diff
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|
214 |
int i = kDigits; |
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|
215 |
int limit = nDigits - 5; // slurp digits 5 at a time. |
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|
216 |
int v; |
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diff
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|
217 |
while (i < limit) { |
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|
218 |
int ilim = i + 5; |
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|
219 |
v = (int) digits[i++] - (int) '0'; |
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|
220 |
while (i < ilim) { |
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|
221 |
v = 10 * v + (int) digits[i++] - (int) '0'; |
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|
222 |
} |
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|
223 |
multAddMe(100000, v); // ... where 100000 is 10^5. |
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diff
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|
224 |
} |
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|
225 |
int factor = 1; |
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diff
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|
226 |
v = 0; |
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|
227 |
while (i < nDigits) { |
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|
228 |
v = 10 * v + (int) digits[i++] - (int) '0'; |
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|
229 |
factor *= 10; |
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diff
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|
230 |
} |
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|
231 |
if (factor != 1) { |
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diff
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|
232 |
multAddMe(factor, v); |
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diff
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|
233 |
} |
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diff
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|
234 |
trimLeadingZeros(); |
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parents:
diff
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|
235 |
} |
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|
236 |
|
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|
237 |
/** |
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|
238 |
* Returns an <code>FDBigInteger</code> with the numerical value |
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|
239 |
* <code>5<sup>p5</sup> * 2<sup>p2</sup></code>. |
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|
240 |
* |
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|
241 |
* @param p5 The exponent of the power-of-five factor. |
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* @param p2 The exponent of the power-of-two factor. |
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* @return <code>5<sup>p5</sup> * 2<sup>p2</sup></code> |
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244 |
*/ |
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parents:
diff
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|
245 |
/*@ |
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|
246 |
@ requires p5 >= 0 && p2 >= 0; |
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|
247 |
@ assignable \nothing; |
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|
248 |
@ ensures \result.value() == \old(pow52(p5, p2)); |
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249 |
@*/ |
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|
250 |
public static FDBigInteger valueOfPow52(int p5, int p2) { |
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|
251 |
if (p5 != 0) { |
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parents:
diff
changeset
|
252 |
if (p2 == 0) { |
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parents:
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|
253 |
return big5pow(p5); |
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|
254 |
} else if (p5 < SMALL_5_POW.length) { |
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|
255 |
int pow5 = SMALL_5_POW[p5]; |
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parents:
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|
256 |
int wordcount = p2 >> 5; |
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parents:
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|
257 |
int bitcount = p2 & 0x1f; |
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parents:
diff
changeset
|
258 |
if (bitcount == 0) { |
39484c6a0c61
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parents:
diff
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|
259 |
return new FDBigInteger(new int[]{pow5}, wordcount); |
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parents:
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|
260 |
} else { |
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parents:
diff
changeset
|
261 |
return new FDBigInteger(new int[]{ |
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|
262 |
pow5 << bitcount, |
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parents:
diff
changeset
|
263 |
pow5 >>> (32 - bitcount) |
39484c6a0c61
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parents:
diff
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|
264 |
}, wordcount); |
39484c6a0c61
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parents:
diff
changeset
|
265 |
} |
39484c6a0c61
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parents:
diff
changeset
|
266 |
} else { |
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|
267 |
return big5pow(p5).leftShift(p2); |
39484c6a0c61
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parents:
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|
268 |
} |
39484c6a0c61
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parents:
diff
changeset
|
269 |
} else { |
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parents:
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|
270 |
return valueOfPow2(p2); |
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parents:
diff
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|
271 |
} |
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parents:
diff
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|
272 |
} |
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parents:
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|
273 |
|
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parents:
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|
274 |
/** |
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|
275 |
* Returns an <code>FDBigInteger</code> with the numerical value |
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parents:
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|
276 |
* <code>value * 5<sup>p5</sup> * 2<sup>p2</sup></code>. |
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parents:
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|
277 |
* |
39484c6a0c61
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parents:
diff
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|
278 |
* @param value The constant factor. |
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parents:
diff
changeset
|
279 |
* @param p5 The exponent of the power-of-five factor. |
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parents:
diff
changeset
|
280 |
* @param p2 The exponent of the power-of-two factor. |
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parents:
diff
changeset
|
281 |
* @return <code>value * 5<sup>p5</sup> * 2<sup>p2</sup></code> |
39484c6a0c61
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parents:
diff
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|
282 |
*/ |
39484c6a0c61
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bpb
parents:
diff
changeset
|
283 |
/*@ |
39484c6a0c61
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parents:
diff
changeset
|
284 |
@ requires p5 >= 0 && p2 >= 0; |
39484c6a0c61
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parents:
diff
changeset
|
285 |
@ assignable \nothing; |
39484c6a0c61
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parents:
diff
changeset
|
286 |
@ ensures \result.value() == \old(UNSIGNED(value) * pow52(p5, p2)); |
39484c6a0c61
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parents:
diff
changeset
|
287 |
@*/ |
39484c6a0c61
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parents:
diff
changeset
|
288 |
public static FDBigInteger valueOfMulPow52(long value, int p5, int p2) { |
39484c6a0c61
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parents:
diff
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|
289 |
assert p5 >= 0 : p5; |
39484c6a0c61
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parents:
diff
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|
290 |
assert p2 >= 0 : p2; |
39484c6a0c61
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parents:
diff
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|
291 |
int v0 = (int) value; |
39484c6a0c61
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parents:
diff
changeset
|
292 |
int v1 = (int) (value >>> 32); |
39484c6a0c61
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parents:
diff
changeset
|
293 |
int wordcount = p2 >> 5; |
39484c6a0c61
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parents:
diff
changeset
|
294 |
int bitcount = p2 & 0x1f; |
39484c6a0c61
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bpb
parents:
diff
changeset
|
295 |
if (p5 != 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
296 |
if (p5 < SMALL_5_POW.length) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
297 |
long pow5 = SMALL_5_POW[p5] & LONG_MASK; |
39484c6a0c61
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parents:
diff
changeset
|
298 |
long carry = (v0 & LONG_MASK) * pow5; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
299 |
v0 = (int) carry; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
300 |
carry >>>= 32; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
301 |
carry = (v1 & LONG_MASK) * pow5 + carry; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
302 |
v1 = (int) carry; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
303 |
int v2 = (int) (carry >>> 32); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
304 |
if (bitcount == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
305 |
return new FDBigInteger(new int[]{v0, v1, v2}, wordcount); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
306 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
307 |
return new FDBigInteger(new int[]{ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
308 |
v0 << bitcount, |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
309 |
(v1 << bitcount) | (v0 >>> (32 - bitcount)), |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
310 |
(v2 << bitcount) | (v1 >>> (32 - bitcount)), |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
311 |
v2 >>> (32 - bitcount) |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
312 |
}, wordcount); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
313 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
314 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
315 |
FDBigInteger pow5 = big5pow(p5); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
316 |
int[] r; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
317 |
if (v1 == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
318 |
r = new int[pow5.nWords + 1 + ((p2 != 0) ? 1 : 0)]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
319 |
mult(pow5.data, pow5.nWords, v0, r); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
320 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
321 |
r = new int[pow5.nWords + 2 + ((p2 != 0) ? 1 : 0)]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
322 |
mult(pow5.data, pow5.nWords, v0, v1, r); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
323 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
324 |
return (new FDBigInteger(r, pow5.offset)).leftShift(p2); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
325 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
326 |
} else if (p2 != 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
327 |
if (bitcount == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
328 |
return new FDBigInteger(new int[]{v0, v1}, wordcount); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
329 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
330 |
return new FDBigInteger(new int[]{ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
331 |
v0 << bitcount, |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
332 |
(v1 << bitcount) | (v0 >>> (32 - bitcount)), |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
333 |
v1 >>> (32 - bitcount) |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
334 |
}, wordcount); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
335 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
336 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
337 |
return new FDBigInteger(new int[]{v0, v1}, 0); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
338 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
339 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
340 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
341 |
* Returns an <code>FDBigInteger</code> with the numerical value |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
342 |
* <code>2<sup>p2</sup></code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
343 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
344 |
* @param p2 The exponent of 2. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
345 |
* @return <code>2<sup>p2</sup></code> |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
346 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
347 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
348 |
@ requires p2 >= 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
349 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
350 |
@ ensures \result.value() == pow52(0, p2); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
351 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
352 |
private static FDBigInteger valueOfPow2(int p2) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
353 |
int wordcount = p2 >> 5; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
354 |
int bitcount = p2 & 0x1f; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
355 |
return new FDBigInteger(new int[]{1 << bitcount}, wordcount); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
356 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
357 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
358 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
359 |
* Removes all leading zeros from this <code>FDBigInteger</code> adjusting |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
360 |
* the offset and number of non-zero leading words accordingly. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
361 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
362 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
363 |
@ requires data != null; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
364 |
@ requires 0 <= nWords && nWords <= data.length && offset >= 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
365 |
@ requires nWords == 0 ==> offset == 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
366 |
@ ensures nWords == 0 ==> offset == 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
367 |
@ ensures nWords > 0 ==> data[nWords - 1] != 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
368 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
369 |
private /*@ helper @*/ void trimLeadingZeros() { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
370 |
int i = nWords; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
371 |
if (i > 0 && (data[--i] == 0)) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
372 |
//for (; i > 0 && data[i - 1] == 0; i--) ; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
373 |
while(i > 0 && data[i - 1] == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
374 |
i--; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
375 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
376 |
this.nWords = i; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
377 |
if (i == 0) { // all words are zero |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
378 |
this.offset = 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
379 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
380 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
381 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
382 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
383 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
384 |
* Retrieves the normalization bias of the <code>FDBigIntger</code>. The |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
385 |
* normalization bias is a left shift such that after it the highest word |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
386 |
* of the value will have the 4 highest bits equal to zero: |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
387 |
* <code>(highestWord & 0xf0000000) == 0</code>, but the next bit should be 1 |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
388 |
* <code>(highestWord & 0x08000000) != 0</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
389 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
390 |
* @return The normalization bias. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
391 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
392 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
393 |
@ requires this.value() > 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
394 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
395 |
public /*@ pure @*/ int getNormalizationBias() { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
396 |
if (nWords == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
397 |
throw new IllegalArgumentException("Zero value cannot be normalized"); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
398 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
399 |
int zeros = Integer.numberOfLeadingZeros(data[nWords - 1]); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
400 |
return (zeros < 4) ? 28 + zeros : zeros - 4; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
401 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
402 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
403 |
// TODO: Why is anticount param needed if it is always 32 - bitcount? |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
404 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
405 |
* Left shifts the contents of one int array into another. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
406 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
407 |
* @param src The source array. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
408 |
* @param idx The initial index of the source array. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
409 |
* @param result The destination array. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
410 |
* @param bitcount The left shift. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
411 |
* @param anticount The left anti-shift, e.g., <code>32-bitcount</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
412 |
* @param prev The prior source value. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
413 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
414 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
415 |
@ requires 0 < bitcount && bitcount < 32 && anticount == 32 - bitcount; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
416 |
@ requires src.length >= idx && result.length > idx; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
417 |
@ assignable result[*]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
418 |
@ ensures AP(result, \old(idx + 1)) == \old((AP(src, idx) + UNSIGNED(prev) << (idx*32)) << bitcount); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
419 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
420 |
private static void leftShift(int[] src, int idx, int result[], int bitcount, int anticount, int prev){ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
421 |
for (; idx > 0; idx--) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
422 |
int v = (prev << bitcount); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
423 |
prev = src[idx - 1]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
424 |
v |= (prev >>> anticount); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
425 |
result[idx] = v; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
426 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
427 |
int v = prev << bitcount; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
428 |
result[0] = v; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
429 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
430 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
431 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
432 |
* Shifts this <code>FDBigInteger</code> to the left. The shift is performed |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
433 |
* in-place unless the <code>FDBigInteger</code> is immutable in which case |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
434 |
* a new instance of <code>FDBigInteger</code> is returned. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
435 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
436 |
* @param shift The number of bits to shift left. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
437 |
* @return The shifted <code>FDBigInteger</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
438 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
439 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
440 |
@ requires this.value() == 0 || shift == 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
441 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
442 |
@ ensures \result == this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
443 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
444 |
@ also |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
445 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
446 |
@ requires this.value() > 0 && shift > 0 && this.isImmutable; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
447 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
448 |
@ ensures \result.value() == \old(this.value() << shift); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
449 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
450 |
@ also |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
451 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
452 |
@ requires this.value() > 0 && shift > 0 && this.isImmutable; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
453 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
454 |
@ ensures \result == this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
455 |
@ ensures \result.value() == \old(this.value() << shift); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
456 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
457 |
public FDBigInteger leftShift(int shift) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
458 |
if (shift == 0 || nWords == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
459 |
return this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
460 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
461 |
int wordcount = shift >> 5; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
462 |
int bitcount = shift & 0x1f; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
463 |
if (this.isImmutable) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
464 |
if (bitcount == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
465 |
return new FDBigInteger(Arrays.copyOf(data, nWords), offset + wordcount); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
466 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
467 |
int anticount = 32 - bitcount; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
468 |
int idx = nWords - 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
469 |
int prev = data[idx]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
470 |
int hi = prev >>> anticount; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
471 |
int[] result; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
472 |
if (hi != 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
473 |
result = new int[nWords + 1]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
474 |
result[nWords] = hi; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
475 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
476 |
result = new int[nWords]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
477 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
478 |
leftShift(data,idx,result,bitcount,anticount,prev); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
479 |
return new FDBigInteger(result, offset + wordcount); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
480 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
481 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
482 |
if (bitcount != 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
483 |
int anticount = 32 - bitcount; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
484 |
if ((data[0] << bitcount) == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
485 |
int idx = 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
486 |
int prev = data[idx]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
487 |
for (; idx < nWords - 1; idx++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
488 |
int v = (prev >>> anticount); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
489 |
prev = data[idx + 1]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
490 |
v |= (prev << bitcount); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
491 |
data[idx] = v; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
492 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
493 |
int v = prev >>> anticount; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
494 |
data[idx] = v; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
495 |
if(v==0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
496 |
nWords--; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
497 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
498 |
offset++; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
499 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
500 |
int idx = nWords - 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
501 |
int prev = data[idx]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
502 |
int hi = prev >>> anticount; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
503 |
int[] result = data; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
504 |
int[] src = data; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
505 |
if (hi != 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
506 |
if(nWords == data.length) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
507 |
data = result = new int[nWords + 1]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
508 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
509 |
result[nWords++] = hi; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
510 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
511 |
leftShift(src,idx,result,bitcount,anticount,prev); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
512 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
513 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
514 |
offset += wordcount; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
515 |
return this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
516 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
517 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
518 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
519 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
520 |
* Returns the number of <code>int</code>s this <code>FDBigInteger</code> represents. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
521 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
522 |
* @return Number of <code>int</code>s required to represent this <code>FDBigInteger</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
523 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
524 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
525 |
@ requires this.value() == 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
526 |
@ ensures \result == 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
527 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
528 |
@ also |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
529 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
530 |
@ requires this.value() > 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
531 |
@ ensures ((\bigint)1) << (\result - 1) <= this.value() && this.value() <= ((\bigint)1) << \result; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
532 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
533 |
private /*@ pure @*/ int size() { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
534 |
return nWords + offset; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
535 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
536 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
537 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
538 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
539 |
* Computes |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
540 |
* <pre> |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
541 |
* q = (int)( this / S ) |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
542 |
* this = 10 * ( this mod S ) |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
543 |
* Return q. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
544 |
* </pre> |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
545 |
* This is the iteration step of digit development for output. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
546 |
* We assume that S has been normalized, as above, and that |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
547 |
* "this" has been left-shifted accordingly. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
548 |
* Also assumed, of course, is that the result, q, can be expressed |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
549 |
* as an integer, 0 <= q < 10. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
550 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
551 |
* @param The divisor of this <code>FDBigInteger</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
552 |
* @return <code>q = (int)(this / S)</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
553 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
554 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
555 |
@ requires !this.isImmutable; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
556 |
@ requires this.size() <= S.size(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
557 |
@ requires this.data.length + this.offset >= S.size(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
558 |
@ requires S.value() >= ((\bigint)1) << (S.size()*32 - 4); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
559 |
@ assignable this.nWords, this.offset, this.data, this.data[*]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
560 |
@ ensures \result == \old(this.value() / S.value()); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
561 |
@ ensures this.value() == \old(10 * (this.value() % S.value())); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
562 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
563 |
public int quoRemIteration(FDBigInteger S) throws IllegalArgumentException { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
564 |
assert !this.isImmutable : "cannot modify immutable value"; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
565 |
// ensure that this and S have the same number of |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
566 |
// digits. If S is properly normalized and q < 10 then |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
567 |
// this must be so. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
568 |
int thSize = this.size(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
569 |
int sSize = S.size(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
570 |
if (thSize < sSize) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
571 |
// this value is significantly less than S, result of division is zero. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
572 |
// just mult this by 10. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
573 |
int p = multAndCarryBy10(this.data, this.nWords, this.data); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
574 |
if(p!=0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
575 |
this.data[nWords++] = p; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
576 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
577 |
trimLeadingZeros(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
578 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
579 |
return 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
580 |
} else if (thSize > sSize) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
581 |
throw new IllegalArgumentException("disparate values"); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
582 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
583 |
// estimate q the obvious way. We will usually be |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
584 |
// right. If not, then we're only off by a little and |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
585 |
// will re-add. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
586 |
long q = (this.data[this.nWords - 1] & LONG_MASK) / (S.data[S.nWords - 1] & LONG_MASK); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
587 |
long diff = multDiffMe(q, S); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
588 |
if (diff != 0L) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
589 |
//@ assert q != 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
590 |
//@ assert this.offset == \old(Math.min(this.offset, S.offset)); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
591 |
//@ assert this.offset <= S.offset; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
592 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
593 |
// q is too big. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
594 |
// add S back in until this turns +. This should |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
595 |
// not be very many times! |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
596 |
long sum = 0L; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
597 |
int tStart = S.offset - this.offset; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
598 |
//@ assert tStart >= 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
599 |
int[] sd = S.data; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
600 |
int[] td = this.data; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
601 |
while (sum == 0L) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
602 |
for (int sIndex = 0, tIndex = tStart; tIndex < this.nWords; sIndex++, tIndex++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
603 |
sum += (td[tIndex] & LONG_MASK) + (sd[sIndex] & LONG_MASK); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
604 |
td[tIndex] = (int) sum; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
605 |
sum >>>= 32; // Signed or unsigned, answer is 0 or 1 |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
606 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
607 |
// |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
608 |
// Originally the following line read |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
609 |
// "if ( sum !=0 && sum != -1 )" |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
610 |
// but that would be wrong, because of the |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
611 |
// treatment of the two values as entirely unsigned, |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
612 |
// it would be impossible for a carry-out to be interpreted |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
613 |
// as -1 -- it would have to be a single-bit carry-out, or +1. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
614 |
// |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
615 |
assert sum == 0 || sum == 1 : sum; // carry out of division correction |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
616 |
q -= 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
617 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
618 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
619 |
// finally, we can multiply this by 10. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
620 |
// it cannot overflow, right, as the high-order word has |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
621 |
// at least 4 high-order zeros! |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
622 |
int p = multAndCarryBy10(this.data, this.nWords, this.data); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
623 |
assert p == 0 : p; // Carry out of *10 |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
624 |
trimLeadingZeros(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
625 |
return (int) q; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
626 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
627 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
628 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
629 |
* Multiplies this <code>FDBigInteger</code> by 10. The operation will be |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
630 |
* performed in place unless the <code>FDBigInteger</code> is immutable in |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
631 |
* which case a new <code>FDBigInteger</code> will be returned. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
632 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
633 |
* @return The <code>FDBigInteger</code> multiplied by 10. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
634 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
635 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
636 |
@ requires this.value() == 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
637 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
638 |
@ ensures \result == this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
639 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
640 |
@ also |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
641 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
642 |
@ requires this.value() > 0 && this.isImmutable; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
643 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
644 |
@ ensures \result.value() == \old(this.value() * 10); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
645 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
646 |
@ also |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
647 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
648 |
@ requires this.value() > 0 && !this.isImmutable; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
649 |
@ assignable this.nWords, this.data, this.data[*]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
650 |
@ ensures \result == this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
651 |
@ ensures \result.value() == \old(this.value() * 10); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
652 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
653 |
public FDBigInteger multBy10() { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
654 |
if (nWords == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
655 |
return this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
656 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
657 |
if (isImmutable) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
658 |
int[] res = new int[nWords + 1]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
659 |
res[nWords] = multAndCarryBy10(data, nWords, res); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
660 |
return new FDBigInteger(res, offset); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
661 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
662 |
int p = multAndCarryBy10(this.data, this.nWords, this.data); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
663 |
if (p != 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
664 |
if (nWords == data.length) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
665 |
if (data[0] == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
666 |
System.arraycopy(data, 1, data, 0, --nWords); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
667 |
offset++; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
668 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
669 |
data = Arrays.copyOf(data, data.length + 1); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
670 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
671 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
672 |
data[nWords++] = p; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
673 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
674 |
trimLeadingZeros(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
675 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
676 |
return this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
677 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
678 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
679 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
680 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
681 |
* Multiplies this <code>FDBigInteger</code> by |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
682 |
* <code>5<sup>p5</sup> * 2<sup>p2</sup></code>. The operation will be |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
683 |
* performed in place if possible, otherwise a new <code>FDBigInteger</code> |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
684 |
* will be returned. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
685 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
686 |
* @param p5 The exponent of the power-of-five factor. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
687 |
* @param p2 The exponent of the power-of-two factor. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
688 |
* @return |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
689 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
690 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
691 |
@ requires this.value() == 0 || p5 == 0 && p2 == 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
692 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
693 |
@ ensures \result == this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
694 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
695 |
@ also |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
696 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
697 |
@ requires this.value() > 0 && (p5 > 0 && p2 >= 0 || p5 == 0 && p2 > 0 && this.isImmutable); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
698 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
699 |
@ ensures \result.value() == \old(this.value() * pow52(p5, p2)); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
700 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
701 |
@ also |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
702 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
703 |
@ requires this.value() > 0 && p5 == 0 && p2 > 0 && !this.isImmutable; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
704 |
@ assignable this.nWords, this.data, this.data[*]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
705 |
@ ensures \result == this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
706 |
@ ensures \result.value() == \old(this.value() * pow52(p5, p2)); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
707 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
708 |
public FDBigInteger multByPow52(int p5, int p2) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
709 |
if (this.nWords == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
710 |
return this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
711 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
712 |
FDBigInteger res = this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
713 |
if (p5 != 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
714 |
int[] r; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
715 |
int extraSize = (p2 != 0) ? 1 : 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
716 |
if (p5 < SMALL_5_POW.length) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
717 |
r = new int[this.nWords + 1 + extraSize]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
718 |
mult(this.data, this.nWords, SMALL_5_POW[p5], r); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
719 |
res = new FDBigInteger(r, this.offset); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
720 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
721 |
FDBigInteger pow5 = big5pow(p5); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
722 |
r = new int[this.nWords + pow5.size() + extraSize]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
723 |
mult(this.data, this.nWords, pow5.data, pow5.nWords, r); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
724 |
res = new FDBigInteger(r, this.offset + pow5.offset); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
725 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
726 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
727 |
return res.leftShift(p2); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
728 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
729 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
730 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
731 |
* Multiplies two big integers represented as int arrays. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
732 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
733 |
* @param s1 The first array factor. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
734 |
* @param s1Len The number of elements of <code>s1</code> to use. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
735 |
* @param s2 The second array factor. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
736 |
* @param s2Len The number of elements of <code>s2</code> to use. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
737 |
* @param dst The product array. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
738 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
739 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
740 |
@ requires s1 != dst && s2 != dst; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
741 |
@ requires s1.length >= s1Len && s2.length >= s2Len && dst.length >= s1Len + s2Len; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
742 |
@ assignable dst[0 .. s1Len + s2Len - 1]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
743 |
@ ensures AP(dst, s1Len + s2Len) == \old(AP(s1, s1Len) * AP(s2, s2Len)); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
744 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
745 |
private static void mult(int[] s1, int s1Len, int[] s2, int s2Len, int[] dst) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
746 |
for (int i = 0; i < s1Len; i++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
747 |
long v = s1[i] & LONG_MASK; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
748 |
long p = 0L; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
749 |
for (int j = 0; j < s2Len; j++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
750 |
p += (dst[i + j] & LONG_MASK) + v * (s2[j] & LONG_MASK); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
751 |
dst[i + j] = (int) p; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
752 |
p >>>= 32; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
753 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
754 |
dst[i + s2Len] = (int) p; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
755 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
756 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
757 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
758 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
759 |
* Subtracts the supplied <code>FDBigInteger</code> subtrahend from this |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
760 |
* <code>FDBigInteger</code>. Assert that the result is positive. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
761 |
* If the subtrahend is immutable, store the result in this(minuend). |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
762 |
* If this(minuend) is immutable a new <code>FDBigInteger</code> is created. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
763 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
764 |
* @param subtrahend The <code>FDBigInteger</code> to be subtracted. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
765 |
* @return This <code>FDBigInteger</code> less the subtrahend. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
766 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
767 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
768 |
@ requires this.isImmutable; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
769 |
@ requires this.value() >= subtrahend.value(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
770 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
771 |
@ ensures \result.value() == \old(this.value() - subtrahend.value()); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
772 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
773 |
@ also |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
774 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
775 |
@ requires !subtrahend.isImmutable; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
776 |
@ requires this.value() >= subtrahend.value(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
777 |
@ assignable this.nWords, this.offset, this.data, this.data[*]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
778 |
@ ensures \result == this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
779 |
@ ensures \result.value() == \old(this.value() - subtrahend.value()); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
780 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
781 |
public FDBigInteger leftInplaceSub(FDBigInteger subtrahend) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
782 |
assert this.size() >= subtrahend.size() : "result should be positive"; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
783 |
FDBigInteger minuend; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
784 |
if (this.isImmutable) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
785 |
minuend = new FDBigInteger(this.data, this.offset); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
786 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
787 |
minuend = this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
788 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
789 |
int offsetDiff = subtrahend.offset - minuend.offset; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
790 |
int[] sData = subtrahend.data; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
791 |
int[] mData = minuend.data; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
792 |
int subLen = subtrahend.nWords; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
793 |
int minLen = minuend.nWords; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
794 |
if (offsetDiff < 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
795 |
// need to expand minuend |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
796 |
int rLen = minLen - offsetDiff; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
797 |
if (rLen < mData.length) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
798 |
System.arraycopy(mData, 0, mData, -offsetDiff, minLen); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
799 |
Arrays.fill(mData, 0, -offsetDiff, 0); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
800 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
801 |
int[] r = new int[rLen]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
802 |
System.arraycopy(mData, 0, r, -offsetDiff, minLen); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
803 |
minuend.data = mData = r; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
804 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
805 |
minuend.offset = subtrahend.offset; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
806 |
minuend.nWords = minLen = rLen; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
807 |
offsetDiff = 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
808 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
809 |
long borrow = 0L; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
810 |
int mIndex = offsetDiff; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
811 |
for (int sIndex = 0; sIndex < subLen && mIndex < minLen; sIndex++, mIndex++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
812 |
long diff = (mData[mIndex] & LONG_MASK) - (sData[sIndex] & LONG_MASK) + borrow; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
813 |
mData[mIndex] = (int) diff; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
814 |
borrow = diff >> 32; // signed shift |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
815 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
816 |
for (; borrow != 0 && mIndex < minLen; mIndex++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
817 |
long diff = (mData[mIndex] & LONG_MASK) + borrow; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
818 |
mData[mIndex] = (int) diff; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
819 |
borrow = diff >> 32; // signed shift |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
820 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
821 |
assert borrow == 0L : borrow; // borrow out of subtract, |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
822 |
// result should be positive |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
823 |
minuend.trimLeadingZeros(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
824 |
return minuend; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
825 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
826 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
827 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
828 |
* Subtracts the supplied <code>FDBigInteger</code> subtrahend from this |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
829 |
* <code>FDBigInteger</code>. Assert that the result is positive. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
830 |
* If the this(minuend) is immutable, store the result in subtrahend. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
831 |
* If subtrahend is immutable a new <code>FDBigInteger</code> is created. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
832 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
833 |
* @param subtrahend The <code>FDBigInteger</code> to be subtracted. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
834 |
* @return This <code>FDBigInteger</code> less the subtrahend. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
835 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
836 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
837 |
@ requires subtrahend.isImmutable; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
838 |
@ requires this.value() >= subtrahend.value(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
839 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
840 |
@ ensures \result.value() == \old(this.value() - subtrahend.value()); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
841 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
842 |
@ also |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
843 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
844 |
@ requires !subtrahend.isImmutable; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
845 |
@ requires this.value() >= subtrahend.value(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
846 |
@ assignable subtrahend.nWords, subtrahend.offset, subtrahend.data, subtrahend.data[*]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
847 |
@ ensures \result == subtrahend; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
848 |
@ ensures \result.value() == \old(this.value() - subtrahend.value()); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
849 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
850 |
public FDBigInteger rightInplaceSub(FDBigInteger subtrahend) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
851 |
assert this.size() >= subtrahend.size() : "result should be positive"; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
852 |
FDBigInteger minuend = this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
853 |
if (subtrahend.isImmutable) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
854 |
subtrahend = new FDBigInteger(subtrahend.data, subtrahend.offset); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
855 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
856 |
int offsetDiff = minuend.offset - subtrahend.offset; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
857 |
int[] sData = subtrahend.data; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
858 |
int[] mData = minuend.data; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
859 |
int subLen = subtrahend.nWords; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
860 |
int minLen = minuend.nWords; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
861 |
if (offsetDiff < 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
862 |
int rLen = minLen; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
863 |
if (rLen < sData.length) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
864 |
System.arraycopy(sData, 0, sData, -offsetDiff, subLen); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
865 |
Arrays.fill(sData, 0, -offsetDiff, 0); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
866 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
867 |
int[] r = new int[rLen]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
868 |
System.arraycopy(sData, 0, r, -offsetDiff, subLen); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
869 |
subtrahend.data = sData = r; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
870 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
871 |
subtrahend.offset = minuend.offset; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
872 |
subLen -= offsetDiff; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
873 |
offsetDiff = 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
874 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
875 |
int rLen = minLen + offsetDiff; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
876 |
if (rLen >= sData.length) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
877 |
subtrahend.data = sData = Arrays.copyOf(sData, rLen); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
878 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
879 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
880 |
//@ assert minuend == this && minuend.value() == \old(this.value()); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
881 |
//@ assert mData == minuend.data && minLen == minuend.nWords; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
882 |
//@ assert subtrahend.offset + subtrahend.data.length >= minuend.size(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
883 |
//@ assert sData == subtrahend.data; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
884 |
//@ assert AP(subtrahend.data, subtrahend.data.length) << subtrahend.offset == \old(subtrahend.value()); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
885 |
//@ assert subtrahend.offset == Math.min(\old(this.offset), minuend.offset); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
886 |
//@ assert offsetDiff == minuend.offset - subtrahend.offset; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
887 |
//@ assert 0 <= offsetDiff && offsetDiff + minLen <= sData.length; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
888 |
int sIndex = 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
889 |
long borrow = 0L; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
890 |
for (; sIndex < offsetDiff; sIndex++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
891 |
long diff = 0L - (sData[sIndex] & LONG_MASK) + borrow; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
892 |
sData[sIndex] = (int) diff; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
893 |
borrow = diff >> 32; // signed shift |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
894 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
895 |
//@ assert sIndex == offsetDiff; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
896 |
for (int mIndex = 0; mIndex < minLen; sIndex++, mIndex++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
897 |
//@ assert sIndex == offsetDiff + mIndex; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
898 |
long diff = (mData[mIndex] & LONG_MASK) - (sData[sIndex] & LONG_MASK) + borrow; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
899 |
sData[sIndex] = (int) diff; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
900 |
borrow = diff >> 32; // signed shift |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
901 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
902 |
assert borrow == 0L : borrow; // borrow out of subtract, |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
903 |
// result should be positive |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
904 |
subtrahend.nWords = sIndex; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
905 |
subtrahend.trimLeadingZeros(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
906 |
return subtrahend; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
907 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
908 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
909 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
910 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
911 |
* Determines whether all elements of an array are zero for all indices less |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
912 |
* than a given index. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
913 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
914 |
* @param a The array to be examined. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
915 |
* @param from The index strictly below which elements are to be examined. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
916 |
* @return Zero if all elements in range are zero, 1 otherwise. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
917 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
918 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
919 |
@ requires 0 <= from && from <= a.length; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
920 |
@ ensures \result == (AP(a, from) == 0 ? 0 : 1); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
921 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
922 |
private /*@ pure @*/ static int checkZeroTail(int[] a, int from) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
923 |
while (from > 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
924 |
if (a[--from] != 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
925 |
return 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
926 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
927 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
928 |
return 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
929 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
930 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
931 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
932 |
* Compares the parameter with this <code>FDBigInteger</code>. Returns an |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
933 |
* integer accordingly as: |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
934 |
* <pre> |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
935 |
* >0: this > other |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
936 |
* 0: this == other |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
937 |
* <0: this < other |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
938 |
* </pre> |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
939 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
940 |
* @param other The <code>FDBigInteger</code> to compare. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
941 |
* @return A negative value, zero, or a positive value according to the |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
942 |
* result of the comparison. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
943 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
944 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
945 |
@ ensures \result == (this.value() < other.value() ? -1 : this.value() > other.value() ? +1 : 0); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
946 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
947 |
public /*@ pure @*/ int cmp(FDBigInteger other) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
948 |
int aSize = nWords + offset; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
949 |
int bSize = other.nWords + other.offset; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
950 |
if (aSize > bSize) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
951 |
return 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
952 |
} else if (aSize < bSize) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
953 |
return -1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
954 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
955 |
int aLen = nWords; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
956 |
int bLen = other.nWords; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
957 |
while (aLen > 0 && bLen > 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
958 |
int a = data[--aLen]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
959 |
int b = other.data[--bLen]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
960 |
if (a != b) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
961 |
return ((a & LONG_MASK) < (b & LONG_MASK)) ? -1 : 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
962 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
963 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
964 |
if (aLen > 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
965 |
return checkZeroTail(data, aLen); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
966 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
967 |
if (bLen > 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
968 |
return -checkZeroTail(other.data, bLen); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
969 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
970 |
return 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
971 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
972 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
973 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
974 |
* Compares this <code>FDBigInteger</code> with |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
975 |
* <code>5<sup>p5</sup> * 2<sup>p2</sup></code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
976 |
* Returns an integer accordingly as: |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
977 |
* <pre> |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
978 |
* >0: this > other |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
979 |
* 0: this == other |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
980 |
* <0: this < other |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
981 |
* </pre> |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
982 |
* @param p5 The exponent of the power-of-five factor. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
983 |
* @param p2 The exponent of the power-of-two factor. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
984 |
* @return A negative value, zero, or a positive value according to the |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
985 |
* result of the comparison. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
986 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
987 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
988 |
@ requires p5 >= 0 && p2 >= 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
989 |
@ ensures \result == (this.value() < pow52(p5, p2) ? -1 : this.value() > pow52(p5, p2) ? +1 : 0); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
990 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
991 |
public /*@ pure @*/ int cmpPow52(int p5, int p2) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
992 |
if (p5 == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
993 |
int wordcount = p2 >> 5; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
994 |
int bitcount = p2 & 0x1f; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
995 |
int size = this.nWords + this.offset; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
996 |
if (size > wordcount + 1) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
997 |
return 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
998 |
} else if (size < wordcount + 1) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
999 |
return -1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1000 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1001 |
int a = this.data[this.nWords -1]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1002 |
int b = 1 << bitcount; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1003 |
if (a != b) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1004 |
return ( (a & LONG_MASK) < (b & LONG_MASK)) ? -1 : 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1005 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1006 |
return checkZeroTail(this.data, this.nWords - 1); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1007 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1008 |
return this.cmp(big5pow(p5).leftShift(p2)); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1009 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1010 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1011 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1012 |
* Compares this <code>FDBigInteger</code> with <code>x + y</code>. Returns a |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1013 |
* value according to the comparison as: |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1014 |
* <pre> |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1015 |
* -1: this < x + y |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1016 |
* 0: this == x + y |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1017 |
* 1: this > x + y |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1018 |
* </pre> |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1019 |
* @param x The first addend of the sum to compare. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1020 |
* @param y The second addend of the sum to compare. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1021 |
* @return -1, 0, or 1 according to the result of the comparison. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1022 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1023 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1024 |
@ ensures \result == (this.value() < x.value() + y.value() ? -1 : this.value() > x.value() + y.value() ? +1 : 0); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1025 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1026 |
public /*@ pure @*/ int addAndCmp(FDBigInteger x, FDBigInteger y) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1027 |
FDBigInteger big; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1028 |
FDBigInteger small; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1029 |
int xSize = x.size(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1030 |
int ySize = y.size(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1031 |
int bSize; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1032 |
int sSize; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1033 |
if (xSize >= ySize) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1034 |
big = x; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1035 |
small = y; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1036 |
bSize = xSize; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1037 |
sSize = ySize; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1038 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1039 |
big = y; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1040 |
small = x; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1041 |
bSize = ySize; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1042 |
sSize = xSize; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1043 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1044 |
int thSize = this.size(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1045 |
if (bSize == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1046 |
return thSize == 0 ? 0 : 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1047 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1048 |
if (sSize == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1049 |
return this.cmp(big); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1050 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1051 |
if (bSize > thSize) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1052 |
return -1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1053 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1054 |
if (bSize + 1 < thSize) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1055 |
return 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1056 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1057 |
long top = (big.data[big.nWords - 1] & LONG_MASK); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1058 |
if (sSize == bSize) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1059 |
top += (small.data[small.nWords - 1] & LONG_MASK); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1060 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1061 |
if ((top >>> 32) == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1062 |
if (((top + 1) >>> 32) == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1063 |
// good case - no carry extension |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1064 |
if (bSize < thSize) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1065 |
return 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1066 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1067 |
// here sum.nWords == this.nWords |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1068 |
long v = (this.data[this.nWords - 1] & LONG_MASK); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1069 |
if (v < top) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1070 |
return -1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1071 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1072 |
if (v > top + 1) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1073 |
return 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1074 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1075 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1076 |
} else { // (top>>>32)!=0 guaranteed carry extension |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1077 |
if (bSize + 1 > thSize) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1078 |
return -1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1079 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1080 |
// here sum.nWords == this.nWords |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1081 |
top >>>= 32; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1082 |
long v = (this.data[this.nWords - 1] & LONG_MASK); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1083 |
if (v < top) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1084 |
return -1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1085 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1086 |
if (v > top + 1) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1087 |
return 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1088 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1089 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1090 |
return this.cmp(big.add(small)); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1091 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1092 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1093 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1094 |
* Makes this <code>FDBigInteger</code> immutable. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1095 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1096 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1097 |
@ assignable this.isImmutable; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1098 |
@ ensures this.isImmutable; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1099 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1100 |
public void makeImmutable() { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1101 |
this.isImmutable = true; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1102 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1103 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1104 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1105 |
* Multiplies this <code>FDBigInteger</code> by an integer. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1106 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1107 |
* @param i The factor by which to multiply this <code>FDBigInteger</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1108 |
* @return This <code>FDBigInteger</code> multiplied by an integer. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1109 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1110 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1111 |
@ requires this.value() == 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1112 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1113 |
@ ensures \result == this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1114 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1115 |
@ also |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1116 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1117 |
@ requires this.value() != 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1118 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1119 |
@ ensures \result.value() == \old(this.value() * UNSIGNED(i)); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1120 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1121 |
private FDBigInteger mult(int i) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1122 |
if (this.nWords == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1123 |
return this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1124 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1125 |
int[] r = new int[nWords + 1]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1126 |
mult(data, nWords, i, r); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1127 |
return new FDBigInteger(r, offset); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1128 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1129 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1130 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1131 |
* Multiplies this <code>FDBigInteger</code> by another <code>FDBigInteger</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1132 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1133 |
* @param other The <code>FDBigInteger</code> factor by which to multiply. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1134 |
* @return The product of this and the parameter <code>FDBigInteger</code>s. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1135 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1136 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1137 |
@ requires this.value() == 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1138 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1139 |
@ ensures \result == this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1140 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1141 |
@ also |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1142 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1143 |
@ requires this.value() != 0 && other.value() == 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1144 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1145 |
@ ensures \result == other; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1146 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1147 |
@ also |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1148 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1149 |
@ requires this.value() != 0 && other.value() != 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1150 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1151 |
@ ensures \result.value() == \old(this.value() * other.value()); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1152 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1153 |
private FDBigInteger mult(FDBigInteger other) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1154 |
if (this.nWords == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1155 |
return this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1156 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1157 |
if (this.size() == 1) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1158 |
return other.mult(data[0]); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1159 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1160 |
if (other.nWords == 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1161 |
return other; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1162 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1163 |
if (other.size() == 1) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1164 |
return this.mult(other.data[0]); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1165 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1166 |
int[] r = new int[nWords + other.nWords]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1167 |
mult(this.data, this.nWords, other.data, other.nWords, r); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1168 |
return new FDBigInteger(r, this.offset + other.offset); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1169 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1170 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1171 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1172 |
* Adds another <code>FDBigInteger</code> to this <code>FDBigInteger</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1173 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1174 |
* @param other The <code>FDBigInteger</code> to add. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1175 |
* @return The sum of the <code>FDBigInteger</code>s. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1176 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1177 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1178 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1179 |
@ ensures \result.value() == \old(this.value() + other.value()); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1180 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1181 |
private FDBigInteger add(FDBigInteger other) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1182 |
FDBigInteger big, small; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1183 |
int bigLen, smallLen; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1184 |
int tSize = this.size(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1185 |
int oSize = other.size(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1186 |
if (tSize >= oSize) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1187 |
big = this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1188 |
bigLen = tSize; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1189 |
small = other; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1190 |
smallLen = oSize; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1191 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1192 |
big = other; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1193 |
bigLen = oSize; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1194 |
small = this; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1195 |
smallLen = tSize; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1196 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1197 |
int[] r = new int[bigLen + 1]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1198 |
int i = 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1199 |
long carry = 0L; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1200 |
for (; i < smallLen; i++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1201 |
carry += (i < big.offset ? 0L : (big.data[i - big.offset] & LONG_MASK) ) |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1202 |
+ ((i < small.offset ? 0L : (small.data[i - small.offset] & LONG_MASK))); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1203 |
r[i] = (int) carry; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1204 |
carry >>= 32; // signed shift. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1205 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1206 |
for (; i < bigLen; i++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1207 |
carry += (i < big.offset ? 0L : (big.data[i - big.offset] & LONG_MASK) ); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1208 |
r[i] = (int) carry; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1209 |
carry >>= 32; // signed shift. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1210 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1211 |
r[bigLen] = (int) carry; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1212 |
return new FDBigInteger(r, 0); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1213 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1214 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1215 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1216 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1217 |
* Multiplies a <code>FDBigInteger</code> by an int and adds another int. The |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1218 |
* result is computed in place. This method is intended only to be invoked |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1219 |
* from |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1220 |
* <code> |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1221 |
* FDBigInteger(long lValue, char[] digits, int kDigits, int nDigits) |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1222 |
* </code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1223 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1224 |
* @param iv The factor by which to multiply this <code>FDBigInteger</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1225 |
* @param addend The value to add to the product of this |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1226 |
* <code>FDBigInteger</code> and <code>iv</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1227 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1228 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1229 |
@ requires this.value()*UNSIGNED(iv) + UNSIGNED(addend) < ((\bigint)1) << ((this.data.length + this.offset)*32); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1230 |
@ assignable this.data[*]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1231 |
@ ensures this.value() == \old(this.value()*UNSIGNED(iv) + UNSIGNED(addend)); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1232 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1233 |
private /*@ helper @*/ void multAddMe(int iv, int addend) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1234 |
long v = iv & LONG_MASK; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1235 |
// unroll 0th iteration, doing addition. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1236 |
long p = v * (data[0] & LONG_MASK) + (addend & LONG_MASK); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1237 |
data[0] = (int) p; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1238 |
p >>>= 32; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1239 |
for (int i = 1; i < nWords; i++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1240 |
p += v * (data[i] & LONG_MASK); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1241 |
data[i] = (int) p; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1242 |
p >>>= 32; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1243 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1244 |
if (p != 0L) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1245 |
data[nWords++] = (int) p; // will fail noisily if illegal! |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1246 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1247 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1248 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1249 |
// |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1250 |
// original doc: |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1251 |
// |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1252 |
// do this -=q*S |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1253 |
// returns borrow |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1254 |
// |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1255 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1256 |
* Multiplies the parameters and subtracts them from this |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1257 |
* <code>FDBigInteger</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1258 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1259 |
* @param q The integer parameter. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1260 |
* @param S The <code>FDBigInteger</code> parameter. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1261 |
* @return <code>this - q*S</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1262 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1263 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1264 |
@ ensures nWords == 0 ==> offset == 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1265 |
@ ensures nWords > 0 ==> data[nWords - 1] != 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1266 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1267 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1268 |
@ requires 0 < q && q <= (1L << 31); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1269 |
@ requires data != null; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1270 |
@ requires 0 <= nWords && nWords <= data.length && offset >= 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1271 |
@ requires !this.isImmutable; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1272 |
@ requires this.size() == S.size(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1273 |
@ requires this != S; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1274 |
@ assignable this.nWords, this.offset, this.data, this.data[*]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1275 |
@ ensures -q <= \result && \result <= 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1276 |
@ ensures this.size() == \old(this.size()); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1277 |
@ ensures this.value() + (\result << (this.size()*32)) == \old(this.value() - q*S.value()); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1278 |
@ ensures this.offset == \old(Math.min(this.offset, S.offset)); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1279 |
@ ensures \old(this.offset <= S.offset) ==> this.nWords == \old(this.nWords); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1280 |
@ ensures \old(this.offset <= S.offset) ==> this.offset == \old(this.offset); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1281 |
@ ensures \old(this.offset <= S.offset) ==> this.data == \old(this.data); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1282 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1283 |
@ also |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1284 |
@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1285 |
@ requires q == 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1286 |
@ assignable \nothing; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1287 |
@ ensures \result == 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1288 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1289 |
private /*@ helper @*/ long multDiffMe(long q, FDBigInteger S) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1290 |
long diff = 0L; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1291 |
if (q != 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1292 |
int deltaSize = S.offset - this.offset; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1293 |
if (deltaSize >= 0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1294 |
int[] sd = S.data; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1295 |
int[] td = this.data; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1296 |
for (int sIndex = 0, tIndex = deltaSize; sIndex < S.nWords; sIndex++, tIndex++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1297 |
diff += (td[tIndex] & LONG_MASK) - q * (sd[sIndex] & LONG_MASK); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1298 |
td[tIndex] = (int) diff; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1299 |
diff >>= 32; // N.B. SIGNED shift. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1300 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1301 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1302 |
deltaSize = -deltaSize; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1303 |
int[] rd = new int[nWords + deltaSize]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1304 |
int sIndex = 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1305 |
int rIndex = 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1306 |
int[] sd = S.data; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1307 |
for (; rIndex < deltaSize && sIndex < S.nWords; sIndex++, rIndex++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1308 |
diff -= q * (sd[sIndex] & LONG_MASK); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1309 |
rd[rIndex] = (int) diff; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1310 |
diff >>= 32; // N.B. SIGNED shift. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1311 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1312 |
int tIndex = 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1313 |
int[] td = this.data; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1314 |
for (; sIndex < S.nWords; sIndex++, tIndex++, rIndex++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1315 |
diff += (td[tIndex] & LONG_MASK) - q * (sd[sIndex] & LONG_MASK); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1316 |
rd[rIndex] = (int) diff; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1317 |
diff >>= 32; // N.B. SIGNED shift. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1318 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1319 |
this.nWords += deltaSize; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1320 |
this.offset -= deltaSize; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1321 |
this.data = rd; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1322 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1323 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1324 |
return diff; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1325 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1326 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1327 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1328 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1329 |
* Multiplies by 10 a big integer represented as an array. The final carry |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1330 |
* is returned. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1331 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1332 |
* @param src The array representation of the big integer. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1333 |
* @param srcLen The number of elements of <code>src</code> to use. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1334 |
* @param dst The product array. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1335 |
* @return The final carry of the multiplication. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1336 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1337 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1338 |
@ requires src.length >= srcLen && dst.length >= srcLen; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1339 |
@ assignable dst[0 .. srcLen - 1]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1340 |
@ ensures 0 <= \result && \result < 10; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1341 |
@ ensures AP(dst, srcLen) + (\result << (srcLen*32)) == \old(AP(src, srcLen) * 10); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1342 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1343 |
private static int multAndCarryBy10(int[] src, int srcLen, int[] dst) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1344 |
long carry = 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1345 |
for (int i = 0; i < srcLen; i++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1346 |
long product = (src[i] & LONG_MASK) * 10L + carry; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1347 |
dst[i] = (int) product; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1348 |
carry = product >>> 32; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1349 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1350 |
return (int) carry; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1351 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1352 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1353 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1354 |
* Multiplies by a constant value a big integer represented as an array. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1355 |
* The constant factor is an <code>int</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1356 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1357 |
* @param src The array representation of the big integer. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1358 |
* @param srcLen The number of elements of <code>src</code> to use. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1359 |
* @param value The constant factor by which to multiply. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1360 |
* @param dst The product array. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1361 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1362 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1363 |
@ requires src.length >= srcLen && dst.length >= srcLen + 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1364 |
@ assignable dst[0 .. srcLen]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1365 |
@ ensures AP(dst, srcLen + 1) == \old(AP(src, srcLen) * UNSIGNED(value)); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1366 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1367 |
private static void mult(int[] src, int srcLen, int value, int[] dst) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1368 |
long val = value & LONG_MASK; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1369 |
long carry = 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1370 |
for (int i = 0; i < srcLen; i++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1371 |
long product = (src[i] & LONG_MASK) * val + carry; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1372 |
dst[i] = (int) product; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1373 |
carry = product >>> 32; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1374 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1375 |
dst[srcLen] = (int) carry; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1376 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1377 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1378 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1379 |
* Multiplies by a constant value a big integer represented as an array. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1380 |
* The constant factor is a long represent as two <code>int</code>s. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1381 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1382 |
* @param src The array representation of the big integer. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1383 |
* @param srcLen The number of elements of <code>src</code> to use. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1384 |
* @param v0 The lower 32 bits of the long factor. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1385 |
* @param v1 The upper 32 bits of the long factor. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1386 |
* @param dst The product array. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1387 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1388 |
/*@ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1389 |
@ requires src != dst; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1390 |
@ requires src.length >= srcLen && dst.length >= srcLen + 2; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1391 |
@ assignable dst[0 .. srcLen + 1]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1392 |
@ ensures AP(dst, srcLen + 2) == \old(AP(src, srcLen) * (UNSIGNED(v0) + (UNSIGNED(v1) << 32))); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1393 |
@*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1394 |
private static void mult(int[] src, int srcLen, int v0, int v1, int[] dst) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1395 |
long v = v0 & LONG_MASK; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1396 |
long carry = 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1397 |
for (int j = 0; j < srcLen; j++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1398 |
long product = v * (src[j] & LONG_MASK) + carry; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1399 |
dst[j] = (int) product; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1400 |
carry = product >>> 32; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1401 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1402 |
dst[srcLen] = (int) carry; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1403 |
v = v1 & LONG_MASK; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1404 |
carry = 0; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1405 |
for (int j = 0; j < srcLen; j++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1406 |
long product = (dst[j + 1] & LONG_MASK) + v * (src[j] & LONG_MASK) + carry; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1407 |
dst[j + 1] = (int) product; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1408 |
carry = product >>> 32; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1409 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1410 |
dst[srcLen + 1] = (int) carry; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1411 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1412 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1413 |
// Fails assertion for negative exponent. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1414 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1415 |
* Computes <code>5</code> raised to a given power. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1416 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1417 |
* @param p The exponent of 5. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1418 |
* @return <code>5<sup>p</sup></code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1419 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1420 |
private static FDBigInteger big5pow(int p) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1421 |
assert p >= 0 : p; // negative power of 5 |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1422 |
if (p < MAX_FIVE_POW) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1423 |
return POW_5_CACHE[p]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1424 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1425 |
return big5powRec(p); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1426 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1427 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1428 |
// slow path |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1429 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1430 |
* Computes <code>5</code> raised to a given power. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1431 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1432 |
* @param p The exponent of 5. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1433 |
* @return <code>5<sup>p</sup></code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1434 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1435 |
private static FDBigInteger big5powRec(int p) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1436 |
if (p < MAX_FIVE_POW) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1437 |
return POW_5_CACHE[p]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1438 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1439 |
// construct the value. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1440 |
// recursively. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1441 |
int q, r; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1442 |
// in order to compute 5^p, |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1443 |
// compute its square root, 5^(p/2) and square. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1444 |
// or, let q = p / 2, r = p -q, then |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1445 |
// 5^p = 5^(q+r) = 5^q * 5^r |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1446 |
q = p >> 1; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1447 |
r = p - q; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1448 |
FDBigInteger bigq = big5powRec(q); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1449 |
if (r < SMALL_5_POW.length) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1450 |
return bigq.mult(SMALL_5_POW[r]); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1451 |
} else { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1452 |
return bigq.mult(big5powRec(r)); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1453 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1454 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1455 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1456 |
// for debugging ... |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1457 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1458 |
* Converts this <code>FDBigInteger</code> to a hexadecimal string. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1459 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1460 |
* @return The hexadecimal string representation. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1461 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1462 |
public String toHexString(){ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1463 |
if(nWords ==0) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1464 |
return "0"; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1465 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1466 |
StringBuilder sb = new StringBuilder((nWords +offset)*8); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1467 |
for(int i= nWords -1; i>=0; i--) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1468 |
String subStr = Integer.toHexString(data[i]); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1469 |
for(int j = subStr.length(); j<8; j++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1470 |
sb.append('0'); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1471 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1472 |
sb.append(subStr); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1473 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1474 |
for(int i=offset; i>0; i--) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1475 |
sb.append("00000000"); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1476 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1477 |
return sb.toString(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1478 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1479 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1480 |
// for debugging ... |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1481 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1482 |
* Converts this <code>FDBigInteger</code> to a <code>BigInteger</code>. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1483 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1484 |
* @return The <code>BigInteger</code> representation. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1485 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1486 |
public BigInteger toBigInteger() { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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|
1487 |
byte[] magnitude = new byte[nWords * 4 + 1]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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|
1488 |
for (int i = 0; i < nWords; i++) { |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
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|
1489 |
int w = data[i]; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
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changeset
|
1490 |
magnitude[magnitude.length - 4 * i - 1] = (byte) w; |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
1491 |
magnitude[magnitude.length - 4 * i - 2] = (byte) (w >> 8); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
1492 |
magnitude[magnitude.length - 4 * i - 3] = (byte) (w >> 16); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
1493 |
magnitude[magnitude.length - 4 * i - 4] = (byte) (w >> 24); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
1494 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
1495 |
return new BigInteger(magnitude).shiftLeft(offset * 32); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
1496 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1497 |
|
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
1498 |
// for debugging ... |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
1499 |
/** |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
1500 |
* Converts this <code>FDBigInteger</code> to a string. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
1501 |
* |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
1502 |
* @return The string representation. |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
1503 |
*/ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
1504 |
@Override |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
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changeset
|
1505 |
public String toString(){ |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1506 |
return toBigInteger().toString(); |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
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parents:
diff
changeset
|
1507 |
} |
39484c6a0c61
8016117: New sun.misc.FDBigInteger class as part of 7032154
bpb
parents:
diff
changeset
|
1508 |
} |