fix macOS build (following Projucer changes made in Windows, which removed /Applications/JUCE/modules from its headers). move JUCE headers under source control, so that Windows and macOS can both build against same version of JUCE. remove AUv3 target (I think it's an iOS thing, so it will never work with this macOS fluidsynth dylib).
This commit is contained in:
245
modules/juce_cryptography/encryption/juce_Primes.cpp
Normal file
245
modules/juce_cryptography/encryption/juce_Primes.cpp
Normal file
@ -0,0 +1,245 @@
|
||||
/*
|
||||
==============================================================================
|
||||
|
||||
This file is part of the JUCE library.
|
||||
Copyright (c) 2017 - ROLI Ltd.
|
||||
|
||||
JUCE is an open source library subject to commercial or open-source
|
||||
licensing.
|
||||
|
||||
By using JUCE, you agree to the terms of both the JUCE 5 End-User License
|
||||
Agreement and JUCE 5 Privacy Policy (both updated and effective as of the
|
||||
27th April 2017).
|
||||
|
||||
End User License Agreement: www.juce.com/juce-5-licence
|
||||
Privacy Policy: www.juce.com/juce-5-privacy-policy
|
||||
|
||||
Or: You may also use this code under the terms of the GPL v3 (see
|
||||
www.gnu.org/licenses).
|
||||
|
||||
JUCE IS PROVIDED "AS IS" WITHOUT ANY WARRANTY, AND ALL WARRANTIES, WHETHER
|
||||
EXPRESSED OR IMPLIED, INCLUDING MERCHANTABILITY AND FITNESS FOR PURPOSE, ARE
|
||||
DISCLAIMED.
|
||||
|
||||
==============================================================================
|
||||
*/
|
||||
|
||||
namespace juce
|
||||
{
|
||||
|
||||
namespace PrimesHelpers
|
||||
{
|
||||
static void createSmallSieve (const int numBits, BigInteger& result)
|
||||
{
|
||||
result.setBit (numBits);
|
||||
result.clearBit (numBits); // to enlarge the array
|
||||
|
||||
result.setBit (0);
|
||||
int n = 2;
|
||||
|
||||
do
|
||||
{
|
||||
for (int i = n + n; i < numBits; i += n)
|
||||
result.setBit (i);
|
||||
|
||||
n = result.findNextClearBit (n + 1);
|
||||
}
|
||||
while (n <= (numBits >> 1));
|
||||
}
|
||||
|
||||
static void bigSieve (const BigInteger& base, const int numBits, BigInteger& result,
|
||||
const BigInteger& smallSieve, const int smallSieveSize)
|
||||
{
|
||||
jassert (! base[0]); // must be even!
|
||||
|
||||
result.setBit (numBits);
|
||||
result.clearBit (numBits); // to enlarge the array
|
||||
|
||||
int index = smallSieve.findNextClearBit (0);
|
||||
|
||||
do
|
||||
{
|
||||
const unsigned int prime = ((unsigned int) index << 1) + 1;
|
||||
|
||||
BigInteger r (base), remainder;
|
||||
r.divideBy (prime, remainder);
|
||||
|
||||
unsigned int i = prime - remainder.getBitRangeAsInt (0, 32);
|
||||
|
||||
if (r.isZero())
|
||||
i += prime;
|
||||
|
||||
if ((i & 1) == 0)
|
||||
i += prime;
|
||||
|
||||
i = (i - 1) >> 1;
|
||||
|
||||
while (i < (unsigned int) numBits)
|
||||
{
|
||||
result.setBit ((int) i);
|
||||
i += prime;
|
||||
}
|
||||
|
||||
index = smallSieve.findNextClearBit (index + 1);
|
||||
}
|
||||
while (index < smallSieveSize);
|
||||
}
|
||||
|
||||
static bool findCandidate (const BigInteger& base, const BigInteger& sieve,
|
||||
const int numBits, BigInteger& result, const int certainty)
|
||||
{
|
||||
for (int i = 0; i < numBits; ++i)
|
||||
{
|
||||
if (! sieve[i])
|
||||
{
|
||||
result = base + (unsigned int) ((i << 1) + 1);
|
||||
|
||||
if (Primes::isProbablyPrime (result, certainty))
|
||||
return true;
|
||||
}
|
||||
}
|
||||
|
||||
return false;
|
||||
}
|
||||
|
||||
static bool passesMillerRabin (const BigInteger& n, int iterations)
|
||||
{
|
||||
const BigInteger one (1), two (2);
|
||||
const BigInteger nMinusOne (n - one);
|
||||
|
||||
BigInteger d (nMinusOne);
|
||||
const int s = d.findNextSetBit (0);
|
||||
d >>= s;
|
||||
|
||||
BigInteger smallPrimes;
|
||||
int numBitsInSmallPrimes = 0;
|
||||
|
||||
for (;;)
|
||||
{
|
||||
numBitsInSmallPrimes += 256;
|
||||
createSmallSieve (numBitsInSmallPrimes, smallPrimes);
|
||||
|
||||
const int numPrimesFound = numBitsInSmallPrimes - smallPrimes.countNumberOfSetBits();
|
||||
|
||||
if (numPrimesFound > iterations + 1)
|
||||
break;
|
||||
}
|
||||
|
||||
int smallPrime = 2;
|
||||
|
||||
while (--iterations >= 0)
|
||||
{
|
||||
smallPrime = smallPrimes.findNextClearBit (smallPrime + 1);
|
||||
|
||||
BigInteger r (smallPrime);
|
||||
r.exponentModulo (d, n);
|
||||
|
||||
if (r != one && r != nMinusOne)
|
||||
{
|
||||
for (int j = 0; j < s; ++j)
|
||||
{
|
||||
r.exponentModulo (two, n);
|
||||
|
||||
if (r == nMinusOne)
|
||||
break;
|
||||
}
|
||||
|
||||
if (r != nMinusOne)
|
||||
return false;
|
||||
}
|
||||
}
|
||||
|
||||
return true;
|
||||
}
|
||||
}
|
||||
|
||||
//==============================================================================
|
||||
BigInteger Primes::createProbablePrime (const int bitLength,
|
||||
const int certainty,
|
||||
const int* randomSeeds,
|
||||
int numRandomSeeds)
|
||||
{
|
||||
using namespace PrimesHelpers;
|
||||
int defaultSeeds [16];
|
||||
|
||||
if (numRandomSeeds <= 0)
|
||||
{
|
||||
randomSeeds = defaultSeeds;
|
||||
numRandomSeeds = numElementsInArray (defaultSeeds);
|
||||
Random r1, r2;
|
||||
|
||||
for (int j = 10; --j >= 0;)
|
||||
{
|
||||
r1.setSeedRandomly();
|
||||
|
||||
for (int i = numRandomSeeds; --i >= 0;)
|
||||
defaultSeeds[i] ^= r1.nextInt() ^ r2.nextInt();
|
||||
}
|
||||
}
|
||||
|
||||
BigInteger smallSieve;
|
||||
const int smallSieveSize = 15000;
|
||||
createSmallSieve (smallSieveSize, smallSieve);
|
||||
|
||||
BigInteger p;
|
||||
|
||||
for (int i = numRandomSeeds; --i >= 0;)
|
||||
{
|
||||
BigInteger p2;
|
||||
|
||||
Random r (randomSeeds[i]);
|
||||
r.fillBitsRandomly (p2, 0, bitLength);
|
||||
|
||||
p ^= p2;
|
||||
}
|
||||
|
||||
p.setBit (bitLength - 1);
|
||||
p.clearBit (0);
|
||||
|
||||
const int searchLen = jmax (1024, (bitLength / 20) * 64);
|
||||
|
||||
while (p.getHighestBit() < bitLength)
|
||||
{
|
||||
p += 2 * searchLen;
|
||||
|
||||
BigInteger sieve;
|
||||
bigSieve (p, searchLen, sieve,
|
||||
smallSieve, smallSieveSize);
|
||||
|
||||
BigInteger candidate;
|
||||
|
||||
if (findCandidate (p, sieve, searchLen, candidate, certainty))
|
||||
return candidate;
|
||||
}
|
||||
|
||||
jassertfalse;
|
||||
return BigInteger();
|
||||
}
|
||||
|
||||
bool Primes::isProbablyPrime (const BigInteger& number, const int certainty)
|
||||
{
|
||||
using namespace PrimesHelpers;
|
||||
|
||||
if (! number[0])
|
||||
return false;
|
||||
|
||||
if (number.getHighestBit() <= 10)
|
||||
{
|
||||
const unsigned int num = number.getBitRangeAsInt (0, 10);
|
||||
|
||||
for (unsigned int i = num / 2; --i > 1;)
|
||||
if (num % i == 0)
|
||||
return false;
|
||||
|
||||
return true;
|
||||
}
|
||||
else
|
||||
{
|
||||
if (number.findGreatestCommonDivisor (2 * 3 * 5 * 7 * 11 * 13 * 17 * 19 * 23) != 1)
|
||||
return false;
|
||||
|
||||
return passesMillerRabin (number, certainty);
|
||||
}
|
||||
}
|
||||
|
||||
} // namespace juce
|
Reference in New Issue
Block a user