// // // Mono.Math.Prime.Generator.SequentialSearchPrimeGeneratorBase.cs - Prime Generator // // Authors: // Ben Maurer // // Copyright (c) 2003 Ben Maurer. All rights reserved // using System; using Mono.Math.Prime; namespace Mono.Math.Prime.Generator { //[CLSCompliant(false)] internal class SequentialSearchPrimeGeneratorBase : PrimeGeneratorBase { protected virtual BigInteger GenerateSearchBase (int bits, object Context) { BigInteger ret = BigInteger.genRandom (bits); ret.setBit (0); return ret; } public override BigInteger GenerateNewPrime (int bits) { return GenerateNewPrime (bits, null); } public virtual BigInteger GenerateNewPrime (int bits, object Context) { // // STEP 1. Find a place to do a sequential search // BigInteger curVal = GenerateSearchBase (bits, Context); const uint primeProd1 = 3u* 5u * 7u * 11u * 13u * 17u * 19u * 23u * 29u; uint pMod1 = curVal % primeProd1; int DivisionBound = TrialDivisionBounds; uint[] SmallPrimes = BigInteger.smallPrimes; PrimalityTest PostTrialDivisionTest = this.PrimalityTest; // // STEP 2. Search for primes // while (true) { // // STEP 2.1 Sieve out numbers divisible by the first 9 primes // if (pMod1 % 3 == 0) goto biNotPrime; if (pMod1 % 5 == 0) goto biNotPrime; if (pMod1 % 7 == 0) goto biNotPrime; if (pMod1 % 11 == 0) goto biNotPrime; if (pMod1 % 13 == 0) goto biNotPrime; if (pMod1 % 17 == 0) goto biNotPrime; if (pMod1 % 19 == 0) goto biNotPrime; if (pMod1 % 23 == 0) goto biNotPrime; if (pMod1 % 29 == 0) goto biNotPrime; // // STEP 2.2 Sieve out all numbers divisible by the primes <= DivisionBound // for (int p = 9; p < SmallPrimes.Length && SmallPrimes [p] <= DivisionBound; p++) { if (curVal % SmallPrimes [p] == 0) goto biNotPrime; } // // STEP 2.3 Is the potential prime acceptable? // if (!IsPrimeAcceptable (curVal, Context)) goto biNotPrime; // // STEP 2.4 Filter out all primes that pass this step with a primality test // if (PrimalityTest (curVal, Confidence)) return curVal; // // STEP 2.4 // biNotPrime: pMod1 += 2; if (pMod1 >= primeProd1) pMod1 -= primeProd1; curVal.Incr2 (); } } protected virtual bool IsPrimeAcceptable (BigInteger bi, object Context) { return true; } } }