Imported Upstream version 3.6.0

Former-commit-id: da6be194a6b1221998fc28233f2503bd61dd9d14
This commit is contained in:
Jo Shields
2014-08-13 10:39:27 +01:00
commit a575963da9
50588 changed files with 8155799 additions and 0 deletions

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2004-09-17 Sebastien Pouliot <sebastien@ximian.com>
* SequentialSearchPrimeGeneratorBase.cs: In synch with corlib version.
Fixed all level 4 compilation warnings.
2005-05-07 Sebastien Pouliot <sebastien@ximian.com>
* SequentialSearchPrimeGeneratorBase.cs: Start the smallPrime vector at
10 (not 9) as 29 was just tested (more for correctness than speed gain).
2004-04-22 Sebastien Pouliot <sebastien@ximian.com>
* NextPrimeFinder.cs: FxCop-ized. CLS compliance.
* PrimeGeneratorBase.cs: FxCop-ized. CLS compliance.
* SequentialSearchPrimeGeneratorBase.cs: FxCop-ized. CLS compliance.
2004-02-13 Sebastien Pouliot <sebastien@ximian.com>
* PrimeGeneratorBase.cs: Changed primality test to Rabin Miller to
fix issues #51229 (bug), #54262 (very long in same cases).
2004-02-09 Sebastien Pouliot <sebastien@ximian.com>
* NextPrimeFinder.cs: New. Copied from corlib. Required for PKCS1 and
RSAManaged (which are required for TLS).
* PrimeGeneratorBase.cs: New. Copied from corlib. Required for PKCS1
and RSAManaged (which are required for TLS).
* SequentialSearchPrimeGeneratorBase.cs: New. Copied from corlib.
Required for PKCS1 and RSAManaged (which are required for TLS).

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//
// Mono.Math.Prime.Generator.NextPrimeFinder.cs - Prime Generator
//
// Authors:
// Ben Maurer
//
// Copyright (c) 2003 Ben Maurer. All rights reserved
//
//
// Permission is hereby granted, free of charge, to any person obtaining
// a copy of this software and associated documentation files (the
// "Software"), to deal in the Software without restriction, including
// without limitation the rights to use, copy, modify, merge, publish,
// distribute, sublicense, and/or sell copies of the Software, and to
// permit persons to whom the Software is furnished to do so, subject to
// the following conditions:
//
// The above copyright notice and this permission notice shall be
// included in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
// LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
// OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
// WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
//
using System;
namespace Mono.Math.Prime.Generator {
/// <summary>
/// Finds the next prime after a given number.
/// </summary>
#if INSIDE_CORLIB
internal
#else
public
#endif
class NextPrimeFinder : SequentialSearchPrimeGeneratorBase {
protected override BigInteger GenerateSearchBase (int bits, object Context)
{
if (Context == null)
throw new ArgumentNullException ("Context");
BigInteger ret = new BigInteger ((BigInteger)Context);
ret.SetBit (0);
return ret;
}
}
}

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//
// Mono.Math.Prime.Generator.PrimeGeneratorBase.cs - Abstract Prime Generator
//
// Authors:
// Ben Maurer
//
// Copyright (c) 2003 Ben Maurer. All rights reserved
//
//
// Permission is hereby granted, free of charge, to any person obtaining
// a copy of this software and associated documentation files (the
// "Software"), to deal in the Software without restriction, including
// without limitation the rights to use, copy, modify, merge, publish,
// distribute, sublicense, and/or sell copies of the Software, and to
// permit persons to whom the Software is furnished to do so, subject to
// the following conditions:
//
// The above copyright notice and this permission notice shall be
// included in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
// LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
// OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
// WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
//
using System;
namespace Mono.Math.Prime.Generator {
#if INSIDE_CORLIB
internal
#else
public
#endif
abstract class PrimeGeneratorBase {
public virtual ConfidenceFactor Confidence {
get {
#if DEBUG
return ConfidenceFactor.ExtraLow;
#else
return ConfidenceFactor.Medium;
#endif
}
}
public virtual Prime.PrimalityTest PrimalityTest {
get {
return new Prime.PrimalityTest (PrimalityTests.RabinMillerTest);
}
}
public virtual int TrialDivisionBounds {
get { return 4000; }
}
/// <summary>
/// Performs primality tests on bi, assumes trial division has been done.
/// </summary>
/// <param name="bi">A BigInteger that has been subjected to and passed trial division</param>
/// <returns>False if bi is composite, true if it may be prime.</returns>
/// <remarks>The speed of this method is dependent on Confidence</remarks>
protected bool PostTrialDivisionTests (BigInteger bi)
{
return PrimalityTest (bi, this.Confidence);
}
public abstract BigInteger GenerateNewPrime (int bits);
}
}

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//
// Mono.Math.Prime.Generator.SequentialSearchPrimeGeneratorBase.cs - Prime Generator
//
// Authors:
// Ben Maurer
//
// Copyright (c) 2003 Ben Maurer. All rights reserved
// Copyright (C) 2004 Novell, Inc (http://www.novell.com)
//
// Permission is hereby granted, free of charge, to any person obtaining
// a copy of this software and associated documentation files (the
// "Software"), to deal in the Software without restriction, including
// without limitation the rights to use, copy, modify, merge, publish,
// distribute, sublicense, and/or sell copies of the Software, and to
// permit persons to whom the Software is furnished to do so, subject to
// the following conditions:
//
// The above copyright notice and this permission notice shall be
// included in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
// LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
// OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
// WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
//
namespace Mono.Math.Prime.Generator {
#if INSIDE_CORLIB
internal
#else
public
#endif
class SequentialSearchPrimeGeneratorBase : PrimeGeneratorBase {
protected virtual BigInteger GenerateSearchBase (int bits, object context)
{
BigInteger ret = BigInteger.GenerateRandom (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;
//
// 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 = 10; 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;
}
}
}