OldBigIntegerTest.java revision ab762bb740405d0fefcccf4a0899a234f995be13
1/* 2 * Licensed to the Apache Software Foundation (ASF) under one or more 3 * contributor license agreements. See the NOTICE file distributed with 4 * this work for additional information regarding copyright ownership. 5 * The ASF licenses this file to You under the Apache License, Version 2.0 6 * (the "License"); you may not use this file except in compliance with 7 * the License. You may obtain a copy of the License at 8 * 9 * http://www.apache.org/licenses/LICENSE-2.0 10 * 11 * Unless required by applicable law or agreed to in writing, software 12 * distributed under the License is distributed on an "AS IS" BASIS, 13 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 14 * See the License for the specific language governing permissions and 15 * limitations under the License. 16 */ 17 18package org.apache.harmony.tests.java.math; 19 20import java.math.BigInteger; 21import java.util.Random; 22 23public class OldBigIntegerTest extends junit.framework.TestCase { 24 25 BigInteger minusOne = new BigInteger("-1", 10); 26 27 BigInteger two = new BigInteger("2", 10); 28 29 BigInteger aZillion = new BigInteger("100000000000000000000000000000000000000000000000000", 10); 30 31 Random rand = new Random(); 32 33 BigInteger bi; 34 35 BigInteger bi2; 36 37 BigInteger bi3; 38 39 /** 40 * java.math.BigInteger#BigInteger(int, java.util.Random) 41 */ 42 public void test_ConstructorILjava_util_Random() { 43 // regression test for HARMONY-1047 44 try { 45 new BigInteger(128, (Random) null); 46 fail(); 47 } catch (NullPointerException expected) { 48 } 49 50 bi = new BigInteger(70, rand); 51 bi2 = new BigInteger(70, rand); 52 assertTrue("Random number is negative", bi.compareTo(BigInteger.ZERO) >= 0); 53 assertTrue("Random number is too big", bi.compareTo(two.pow(70)) < 0); 54 assertTrue( 55 "Two random numbers in a row are the same (might not be a bug but it very likely is)", 56 !bi.equals(bi2)); 57 assertTrue("Not zero", new BigInteger(0, rand).equals(BigInteger.ZERO)); 58 59 try { 60 new BigInteger(-1, (Random)null); 61 fail("IllegalArgumentException expected"); 62 } catch (IllegalArgumentException e) { 63 // PASSED 64 } 65 } 66 67 /** 68 * java.math.BigInteger#BigInteger(int, int, java.util.Random) 69 */ 70 // BIGNUM returns no Primes smaller than 16 bits. 71 public void test_ConstructorIILjava_util_Random() { 72 BigInteger bi1 = new BigInteger(10, 5, rand); 73 BigInteger bi2 = new BigInteger(10, 5, rand); 74 assertTrue(bi1 + " is negative", bi1.compareTo(BigInteger.ZERO) >= 0); 75 assertTrue(bi1 + " is too big", bi1.compareTo(new BigInteger("1024", 10)) < 0); 76 assertTrue(bi2 + " is negative", bi2.compareTo(BigInteger.ZERO) >= 0); 77 assertTrue(bi2 + " is too big", bi2.compareTo(new BigInteger("1024", 10)) < 0); 78 79 Random rand = new Random(); 80 BigInteger bi; 81 int certainty[] = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 82 Integer.MIN_VALUE, Integer.MIN_VALUE + 1, -2, -1 }; 83 for (int i = 2; i <= 20; i++) { 84 for (int c = 0; c < certainty.length; c++) { 85 bi = new BigInteger(i, c, rand); // Create BigInteger 86 assertEquals(i, bi.bitLength()); 87 } 88 } 89 90 try { 91 new BigInteger(1, 80, (Random)null); 92 fail("ArithmeticException expected"); 93 } catch (ArithmeticException expected) { 94 } 95 96 try { 97 new BigInteger(-1, (Random)null); 98 fail("IllegalArgumentException expected"); 99 } catch (IllegalArgumentException expected) { 100 } 101 } 102 103// public void test_SpecialPrimes() { 104// System.out.println("test_SpecialPrimes"); 105// final BigInteger TWO = BigInteger.valueOf(2); 106// BigInteger p, q; 107// for (;;) { 108// p = new BigInteger(1024, 23, new Random()); 109// q = p.subtract(BigInteger.ONE).divide(TWO); 110// if (q.isProbablePrime(20)) { 111// System.out.println(q); 112// System.out.println(p); 113// break; 114// } 115// System.out.print("."); 116// } 117// fail("isProbablePrime failed for: " + bi); 118// } 119 120 /** 121 * java.math.BigInteger#isProbablePrime(int) 122 */ 123 public void test_isProbablePrimeI() { 124 int fails = 0; 125 bi = new BigInteger(20, 20, rand); 126 if (!bi.isProbablePrime(17)) { 127 fails++; 128 } 129 bi = new BigInteger("4", 10); 130 if (bi.isProbablePrime(17)) { 131 fail("isProbablePrime failed for: " + bi); 132 } 133 bi = BigInteger.valueOf(17L * 13L); 134 if (bi.isProbablePrime(17)) { 135 fail("isProbablePrime failed for: " + bi); 136 } 137 for (long a = 2; a < 1000; a++) { 138 if (isPrime(a)) { 139 assertTrue("false negative on prime number <1000", BigInteger 140 .valueOf(a).isProbablePrime(5)); 141 } else if (BigInteger.valueOf(a).isProbablePrime(17)) { 142 System.out.println("isProbablePrime failed for: " + a); 143 fails++; 144 } 145 } 146 for (int a = 0; a < 1000; a++) { 147 bi = BigInteger.valueOf(rand.nextInt(1000000)).multiply( 148 BigInteger.valueOf(rand.nextInt(1000000))); 149 if (bi.isProbablePrime(17)) { 150 System.out.println("isProbablePrime failed for: " + bi); 151 fails++; 152 } 153 } 154 for (int a = 0; a < 200; a++) { 155 bi = new BigInteger(70, rand).multiply(new BigInteger(70, rand)); 156 if (bi.isProbablePrime(17)) { 157 System.out.println("isProbablePrime failed for: " + bi); 158 fails++; 159 } 160 } 161 assertTrue("Too many false positives - may indicate a problem", 162 fails <= 1); 163 164 // 165 // And now some tests on real big integers: 166 // 167 bi = new BigInteger("153890972191202256150310830154922163807316525358455215516067727076235016932726922093888770552128767458882963869421440585369743", 10); 168 if (!bi.isProbablePrime(80)) { 169 fail("isProbablePrime failed for: " + bi); 170 } 171 bi = new BigInteger("2090575416269141767246491983797422123741252476560371649798066134123893524014911825188890458270426076468664046568752890122415061377308817346303546688282957897504000216241497550243010257911214329646877810655164658470278901030511157372440751259674247310396158238588463284702737181653", 10); 172 if (!bi.isProbablePrime(80)) { 173 fail("isProbablePrime failed for: " + bi); 174 } 175 // 176 for (int bitLength = 100; bitLength <= 600; bitLength += 100) { 177 BigInteger a = BigInteger.probablePrime(bitLength, rand); 178 BigInteger b = BigInteger.probablePrime(bitLength, rand); 179 BigInteger c = a.multiply(b); 180 assertFalse("isProbablePrime failed for product of two large primes" + 181 a + " * " + b + " = " + c + 182 " (bitLength = " + bitLength + ")", 183 c.isProbablePrime(80) ); 184 } 185 } 186 187 /** 188 * java.math.BigInteger#nextProbablePrime() 189 */ 190 public void test_nextProbablePrime() { 191 largePrimesProduct( 192 new BigInteger("2537895984043447429238717358455377929009126353874925049325287329295635198252046158619999217453233889378619619008359011789"), 193 new BigInteger("1711501451602688337873833423534849678524059393231999670806585630179374689152366029939952735718718709436427337762082614710093"), 194 "4343612660706993434504106787562106084038357258130862545477481433639575850237346784798851102536616749334772541987502120552264920040629526028540204698334741815536099373917351194423681128374184971846099257056996626343051832131340568120612204287123" 195 ); 196 197 largePrimesProduct( 198 new BigInteger("4617974730611208463200675282934641082129817404749925308887287017217158545765190433369842932770197341032031682222405074564586462802072184047198214312142847809259437477387527466762251087500170588962277514858557309036550499896961735701485020851"), 199 new BigInteger("4313158964405728158057980867015758419530142215799386331265837224051830838583266274443105715022196238165196727467066901495701708590167750818040112544031694506528759169669442493029999154074962566165293254671176670719518898684698255068313216294333"), 200 "19918059106734861363335842730108905466210762564765297409619920041621379008685530738918145604092111306972524565803236031571858280032420140331838737621152630780261815015157696362550138161774466814661069892975003440654998880587960037013294137372709096788892473385003457361736563927256562678181177287998121131179907762285048659075843995525830945659905573174849006768920618442371027575308854641789533211132313916836205357976988977849024687805212304038260207820679964201211309384057458137851" 201 ); 202 } 203 204 static void largePrimesProduct(BigInteger a, BigInteger b, String c) { 205 BigInteger wp = a.multiply(b); 206 assertFalse("isProbablePrime failed for product of two large primes" + 207 a + " * " + b + " = " + c, 208 wp.isProbablePrime(80) ); 209 BigInteger wpMinusOne = wp.subtract(BigInteger.ONE); 210 BigInteger next = wpMinusOne.nextProbablePrime(); 211// System.out.println(c); 212// System.out.println(next); 213 assertTrue("nextProbablePrime returns wrong number: " + next + 214 "instead of expected: " + c, 215 next.toString().equals(c) ); 216 } 217 218 /** 219 * java.math.BigInteger#probablePrime(int, java.util.Random) 220 */ 221 public void test_probablePrime() { 222 for (int bitLength = 50; bitLength <= 1050; bitLength += 100) { 223 BigInteger a = BigInteger.probablePrime(bitLength, rand); 224 assertTrue("isProbablePrime(probablePrime()) failed for: " + bi, 225 a.isProbablePrime(80)); 226// System.out.println(a); 227// BigInteger prime = a.nextProbablePrime(); 228// System.out.print("Next Probable Prime is "); 229// System.out.println(prime); 230 } 231 } 232 233// BEGIN android-added 234// public void testModPowPerformance() { 235// Random rnd = new Random(); 236// for (int i = 0; i < 10; i++) { 237// BigInteger a = new BigInteger(512, rnd); 238// BigInteger m = new BigInteger(1024, rnd); 239// BigInteger p = new BigInteger(256, rnd); 240// BigInteger mp = a.modPow(p, m); 241// System.out.println(mp); 242// } 243// } 244 245// shows factor 20 speed up (BIGNUM to Harmony Java): 246// public void testNextProbablePrime() { 247// Random rnd = new Random(); 248// rnd.setSeed(0); 249// for (int i = 1; i <= 32; i += 1) { 250// BigInteger a = new BigInteger(i, rnd); 251// System.out.println(a); 252// BigInteger prime = a.nextProbablePrime(); 253// System.out.print("Next Probable Prime is "); 254// System.out.println(prime); 255// } 256// for (int i = 1; i <= 32; i += 4) { 257// BigInteger a = new BigInteger(32 * i, rnd); 258// System.out.println(a); 259// BigInteger prime = a.nextProbablePrime(); 260// System.out.print("Next Probable Prime is "); 261// System.out.println(prime); 262// } 263// } 264 265// shows factor 20 speed up (BIGNUM to Harmony Java): 266// shows that certainty 80 is "practically aquivalent" to certainty 100 267// public void testPrimeGenPerformance() { 268// Random rnd = new Random(); 269// rnd.setSeed(0); 270// for (int i = 1; i <= 32; i +=8 ) { 271// BigInteger a = new BigInteger(32 * i, 80, rnd); 272// System.out.println(a); 273// System.out.println("Now testing it again:"); 274// if (a.isProbablePrime(100)) { 275// System.out.println("************************ PASSED! **************************"); 276// } else { 277// System.out.println("************************ FAILED!!! **************************"); 278// System.out.println("************************ FAILED!!! **************************"); 279// System.out.println("************************ FAILED!!! **************************"); 280// System.out.println("************************ FAILED!!! **************************"); 281// System.out.println("************************ FAILED!!! **************************"); 282// System.out.println("************************ FAILED!!! **************************"); 283// } 284// } 285// } 286// END android-added 287 288 289 290 /** 291 * java.math.BigInteger#add(java.math.BigInteger) 292 */ 293 public void test_addLjava_math_BigInteger() { 294 assertTrue("Incorrect sum--wanted a zillion", aZillion.add(aZillion) 295 .add(aZillion.negate()).equals(aZillion)); 296 assertTrue("0+0", BigInteger.ZERO.add(BigInteger.ZERO).equals(BigInteger.ZERO)); 297 assertTrue("0+1", BigInteger.ZERO.add(BigInteger.ONE).equals(BigInteger.ONE)); 298 assertTrue("1+0", BigInteger.ONE.add(BigInteger.ZERO).equals(BigInteger.ONE)); 299 assertTrue("1+1", BigInteger.ONE.add(BigInteger.ONE).equals(two)); 300 assertTrue("0+(-1)", BigInteger.ZERO.add(minusOne).equals(minusOne)); 301 assertTrue("(-1)+0", minusOne.add(BigInteger.ZERO).equals(minusOne)); 302 assertTrue("(-1)+(-1)", minusOne.add(minusOne).equals(new BigInteger("-2", 10))); 303 assertTrue("1+(-1)", BigInteger.ONE.add(minusOne).equals(BigInteger.ZERO)); 304 assertTrue("(-1)+1", minusOne.add(BigInteger.ONE).equals(BigInteger.ZERO)); 305 306 for (int i = 0; i < 200; i++) { 307 BigInteger midbit = BigInteger.ZERO.setBit(i); 308 assertTrue("add fails to carry on bit " + i, midbit.add(midbit) 309 .equals(BigInteger.ZERO.setBit(i + 1))); 310 } 311 BigInteger bi2p3 = bi2.add(bi3); 312 BigInteger bi3p2 = bi3.add(bi2); 313 assertTrue("bi2p3=bi3p2", bi2p3.equals(bi3p2)); 314 315 316 // BESSER UEBERGREIFENDE TESTS MACHEN IN FORM VON STRESS TEST. 317 // add large positive + small positive 318 BigInteger sum = aZillion; 319 BigInteger increment = BigInteger.ONE; 320 for (int i = 0; i < 20; i++) { 321 322 } 323 324 // add large positive + small negative 325 326 // add large negative + small positive 327 328 // add large negative + small negative 329 } 330 331 public void testClone() { 332 // Regression test for HARMONY-1770 333 MyBigInteger myBigInteger = new MyBigInteger("12345"); 334 myBigInteger = (MyBigInteger) myBigInteger.clone(); 335 } 336 337 static class MyBigInteger extends BigInteger implements Cloneable { 338 public MyBigInteger(String val) { 339 super(val); 340 } 341 public Object clone() { 342 try { 343 return super.clone(); 344 } catch (CloneNotSupportedException e) { 345 throw new AssertionError(e); // android-changed 346 } 347 } 348 } 349 350 @Override 351 protected void setUp() { 352 bi2 = new BigInteger("4576829475724387584378543764555", 16); 353 bi3 = new BigInteger("43987298363278574365732645872643587624387563245", 16); 354 } 355 356 private boolean isPrime(long b) { 357 if (b == 2) { 358 return true; 359 } 360 // check for div by 2 361 if ((b & 1L) == 0) { 362 return false; 363 } 364 long maxlen = ((long) Math.sqrt(b)) + 2; 365 for (long x = 3; x < maxlen; x += 2) { 366 if (b % x == 0) { 367 return false; 368 } 369 } 370 return true; 371 } 372} 373