Standardized the generate method of the marsenne twister random generator in order to get also a unsigned capped random generation (like all the other generate() of the other random generators)

This commit is contained in:
Paolo Cignoni 2014-04-17 08:19:06 +00:00
parent c085b7d6ba
commit 7dbcb078e5
1 changed files with 215 additions and 211 deletions

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@ -40,29 +40,29 @@ class RandomGenerator
// construction
public:
RandomGenerator(){}
RandomGenerator(){}
virtual ~RandomGenerator()
{}
virtual ~RandomGenerator()
{}
// public methods
public:
/// (Re-)initialize with a given seed.
virtual void initialize(unsigned int seed)=0;
/// (Re-)initialize with a given seed.
virtual void initialize(unsigned int seed)=0;
/// Return a random number in the given range (note that not all the RNG can handle a given limit).
virtual unsigned int generate(unsigned int limit)=0;
/// Return a random number in the given range (note that not all the RNG can handle a given limit).
virtual unsigned int generate(unsigned int limit)=0;
/// Return a random number in the [0,1) real interval.
virtual double generate01()=0;
/// Return a random number in the [0,1) real interval.
virtual double generate01()=0;
/// Returns a random number in the [0,1] real interval.
virtual double generate01closed()=0;
/// Returns a random number in the [0,1] real interval.
virtual double generate01closed()=0;
/// Generates a random number in the (0,1) real interval.
virtual double generate01open()=0;
virtual double generateRange(double minV, double maxV) { return minV+(maxV-minV)*generate01(); }
/// Generates a random number in the (0,1) real interval.
virtual double generate01open()=0;
virtual double generateRange(double minV, double maxV) { return minV+(maxV-minV)*generate01(); }
};
@ -81,9 +81,9 @@ vcg::Point3<ScalarType> GenerateBarycentricUniform(GeneratorType &rnd)
interp[2] = 1.0 - interp[2];
}
assert(interp[1] + interp[2] <= 1.0);
interp[0]=1.0-(interp[1] + interp[2]);
return interp;
assert(interp[1] + interp[2] <= 1.0);
interp[0]=1.0-(interp[1] + interp[2]);
return interp;
}
/// \brief Generate a random point insidie a box with uniform distribution
@ -159,80 +159,80 @@ class SubtractiveRingRNG : public RandomGenerator
// private data member
private:
// Subtractive Ring RNG status variables
unsigned int _M_table[55];
size_t _M_index1;
size_t _M_index2;
// Subtractive Ring RNG status variables
unsigned int _M_table[55];
size_t _M_index1;
size_t _M_index2;
// construction
public:
// ctor
SubtractiveRingRNG(int default_seed=161803398u)
{
initialize(default_seed);
}
// ctor
SubtractiveRingRNG(int default_seed=161803398u)
{
initialize(default_seed);
}
virtual ~SubtractiveRingRNG()
{}
virtual ~SubtractiveRingRNG()
{}
// public methods
public:
/// (Re-)initialize with a given seed.
void initialize(unsigned int seed)
{
unsigned int __k = 1;
_M_table[54] = seed;
size_t __i;
for (__i = 0; __i < 54; __i++)
{
size_t __ii = (21 * (__i + 1) % 55) - 1;
_M_table[__ii] = __k;
__k = seed - __k;
seed = _M_table[__ii];
}
for (int __loop = 0; __loop < 4; __loop++)
{
for (__i = 0; __i < 55; __i++)
_M_table[__i] = _M_table[__i] - _M_table[(1 + __i + 30) % 55];
}
_M_index1 = 0;
_M_index2 = 31;
}
/// (Re-)initialize with a given seed.
void initialize(unsigned int seed)
{
unsigned int __k = 1;
_M_table[54] = seed;
size_t __i;
for (__i = 0; __i < 54; __i++)
{
size_t __ii = (21 * (__i + 1) % 55) - 1;
_M_table[__ii] = __k;
__k = seed - __k;
seed = _M_table[__ii];
}
for (int __loop = 0; __loop < 4; __loop++)
{
for (__i = 0; __i < 55; __i++)
_M_table[__i] = _M_table[__i] - _M_table[(1 + __i + 30) % 55];
}
_M_index1 = 0;
_M_index2 = 31;
}
/// Return a random number in the given range (limit) using the Subtractive Ring method.
unsigned int generate(unsigned int limit= 0xffffffffu)
{
_M_index1 = (_M_index1 + 1) % 55;
_M_index2 = (_M_index2 + 1) % 55;
_M_table[_M_index1] = _M_table[_M_index1] - _M_table[_M_index2];
return _M_table[_M_index1] % limit;
}
/// Return a random number in the given range (limit) using the Subtractive Ring method.
unsigned int generate(unsigned int limit= 0xffffffffu)
{
_M_index1 = (_M_index1 + 1) % 55;
_M_index2 = (_M_index2 + 1) % 55;
_M_table[_M_index1] = _M_table[_M_index1] - _M_table[_M_index2];
return _M_table[_M_index1] % limit;
}
/// Return a random number in the [0,1) real interval using the Subtractive Ring method.
double generate01()
{
const unsigned int lmt = 0xffffffffu;
unsigned int number = generate(lmt);
return static_cast<double>(number) / static_cast<double>(lmt);
}
/// Return a random number in the [0,1) real interval using the Subtractive Ring method.
double generate01()
{
const unsigned int lmt = 0xffffffffu;
unsigned int number = generate(lmt);
return static_cast<double>(number) / static_cast<double>(lmt);
}
/// Returns a random number in the [0,1] real interval using the Subtractive Ring method.
double generate01closed()
{
const unsigned int lmt = 0xffffffffu;
unsigned int number = generate(lmt);
return static_cast<double>(number) / static_cast<double>(0xfffffffEu);
}
/// Returns a random number in the [0,1] real interval using the Subtractive Ring method.
double generate01closed()
{
const unsigned int lmt = 0xffffffffu;
unsigned int number = generate(lmt);
return static_cast<double>(number) / static_cast<double>(0xfffffffEu);
}
/// Generates a random number in the (0,1) real interval using the Subtractive Ring method.
double generate01open()
{
const unsigned int lmt = 0xffffffffu;
unsigned int number = generate(lmt);
return (static_cast<double>(number) + 0.5) * (1.0/static_cast<double>(lmt));
}
/// Generates a random number in the (0,1) real interval using the Subtractive Ring method.
double generate01open()
{
const unsigned int lmt = 0xffffffffu;
unsigned int number = generate(lmt);
return (static_cast<double>(number) + 0.5) * (1.0/static_cast<double>(lmt));
}
};
@ -253,174 +253,178 @@ class MarsenneTwisterRNG : public RandomGenerator
// definitions
private:
static const int N = 624;
static const int M = 397;
static const unsigned int MATRIX_A = 0x9908b0dfu; // constant vector a
static const unsigned int UPPER_MASK = 0x80000000u; // most significant w-r bits
static const unsigned int LOWER_MASK = 0x7fffffffu; // least significant r bits
static const int N = 624;
static const int M = 397;
static const unsigned int MATRIX_A = 0x9908b0dfu; // constant vector a
static const unsigned int UPPER_MASK = 0x80000000u; // most significant w-r bits
static const unsigned int LOWER_MASK = 0x7fffffffu; // least significant r bits
// private data member
private:
// Improved Marsenne-Twister RNG status variables
unsigned int mt[N]; // the array for the state vector
int mti;
// Improved Marsenne-Twister RNG status variables
unsigned int mt[N]; // the array for the state vector
int mti;
// construction
public:
// ctor
MarsenneTwisterRNG()
{
initialize(5489u);
}
// ctor
MarsenneTwisterRNG()
{
initialize(5489u);
}
MarsenneTwisterRNG(unsigned int seed)
{
initialize(seed);
}
MarsenneTwisterRNG(unsigned int seed)
{
initialize(seed);
}
virtual ~MarsenneTwisterRNG()
{}
virtual ~MarsenneTwisterRNG()
{}
// public methods
public:
/// (Re-)initialize with the given seed.
void initialize(unsigned int seed)
{
mt[0]= seed & 0xffffffffu;
for (mti=1; mti<N; mti++)
{
mt[mti] = (1812433253u * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti);
/* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
/* In the previous versions, MSBs of the seed affect */
/* only MSBs of the array mt[]. */
/* 2002/01/09 modified by Makoto Matsumoto */
mt[mti] &= 0xffffffffu;
/* for >32 bit machines */
}
}
/// (Re-)initialize with the given seed.
void initialize(unsigned int seed)
{
mt[0]= seed & 0xffffffffu;
for (mti=1; mti<N; mti++)
{
mt[mti] = (1812433253u * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti);
/* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
/* In the previous versions, MSBs of the seed affect */
/* only MSBs of the array mt[]. */
/* 2002/01/09 modified by Makoto Matsumoto */
mt[mti] &= 0xffffffffu;
/* for >32 bit machines */
}
}
/**
* Initialize by an array with array-length.
*
* init_key is the array for initializing keys
* key_length is its length
*/
void initializeByArray(unsigned int init_key[], int key_length)
{
int i, j, k;
initialize(19650218u);
i=1; j=0;
k = (N>key_length ? N : key_length);
for (; k; k--)
{
mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525u)) + init_key[j] + j; /* non linear */
mt[i] &= 0xffffffffu; /* for WORDSIZE > 32 machines */
i++; j++;
/**
* Initialize by an array with array-length.
*
* init_key is the array for initializing keys
* key_length is its length
*/
void initializeByArray(unsigned int init_key[], int key_length)
{
int i, j, k;
initialize(19650218u);
i=1; j=0;
k = (N>key_length ? N : key_length);
for (; k; k--)
{
mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525u)) + init_key[j] + j; /* non linear */
mt[i] &= 0xffffffffu; /* for WORDSIZE > 32 machines */
i++; j++;
if (i>=N)
{
mt[0] = mt[N-1];
i=1;
}
if (i>=N)
{
mt[0] = mt[N-1];
i=1;
}
if (j>=key_length) j=0;
}
if (j>=key_length) j=0;
}
for (k=N-1; k; k--)
{
mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941u)) - i; /* non linear */
mt[i] &= 0xffffffffu; /* for WORDSIZE > 32 machines */
i++;
if (i>=N)
{
mt[0] = mt[N-1];
i=1;
}
}
for (k=N-1; k; k--)
{
mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941u)) - i; /* non linear */
mt[i] &= 0xffffffffu; /* for WORDSIZE > 32 machines */
i++;
if (i>=N)
{
mt[0] = mt[N-1];
i=1;
}
}
mt[0] = 0x80000000u; /* MSB is 1; assuring non-zero initial array */
}
mt[0] = 0x80000000u; /* MSB is 1; assuring non-zero initial array */
}
/**
* Return a random number in the [0,0xffffffff] interval using the improved Marsenne Twister algorithm.
*
* NOTE: Limit is not considered, the interval is fixed.
*/
unsigned int generate(unsigned int /*limit*/)
{
unsigned int y;
static unsigned int mag01[2]={0x0u, MATRIX_A};
/* mag01[x] = x * MATRIX_A for x=0,1 */
unsigned int generate(unsigned int limit)
{
return generate()%limit;
}
if (mti >= N) // generate N words at one time
{
int kk;
/**
* Return a random number in the [0,0xffffffff] interval using the improved Marsenne Twister algorithm.
*
* NOTE: Limit is not considered, the interval is fixed.
*/
unsigned int generate()
{
unsigned int y;
static unsigned int mag01[2]={0x0u, MATRIX_A};
/* mag01[x] = x * MATRIX_A for x=0,1 */
for (kk=0;kk<N-M;kk++)
{
y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1u];
}
if (mti >= N) // generate N words at one time
{
int kk;
for (;kk<N-1;kk++)
{
y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
mt[kk] = mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1u];
}
for (kk=0;kk<N-M;kk++)
{
y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1u];
}
y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK);
mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1u];
for (;kk<N-1;kk++)
{
y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
mt[kk] = mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1u];
}
mti = 0;
}
y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK);
mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1u];
y = mt[mti++];
mti = 0;
}
/* Tempering */
y ^= (y >> 11);
y ^= (y << 7) & 0x9d2c5680u;
y ^= (y << 15) & 0xefc60000u;
y ^= (y >> 18);
y = mt[mti++];
return y;
}
/* Tempering */
y ^= (y >> 11);
y ^= (y << 7) & 0x9d2c5680u;
y ^= (y << 15) & 0xefc60000u;
y ^= (y >> 18);
/// Returns a random number in the [0,1] real interval using the improved Marsenne-Twister.
double generate01closed()
{
return generate(0)*(1.0/4294967295.0);
}
return y;
}
/// Returns a random number in the [0,1) real interval using the improved Marsenne-Twister.
double generate01()
{
return generate(0)*(1.0/4294967296.0);
}
/// Returns a random number in the [0,1] real interval using the improved Marsenne-Twister.
double generate01closed()
{
return generate()*(1.0/4294967295.0);
}
/// Generates a random number in the (0,1) real interval using the improved Marsenne-Twister.
double generate01open()
{
return (((double)generate(0)) + 0.5)*(1.0/4294967296.0);
}
/// Returns a random number in the [0,1) real interval using the improved Marsenne-Twister.
double generate01()
{
return generate()*(1.0/4294967296.0);
}
/// Generate a random triple of baricentric coords
template <class PointType>
void generateBarycentric(PointType &p){
p[1] = this->generate01();
p[2] = this->generate01();
/// Generates a random number in the (0,1) real interval using the improved Marsenne-Twister.
double generate01open()
{
return (((double)generate()) + 0.5)*(1.0/4294967296.0);
}
if(p[1] + p[2] > 1.0){
p[1] = 1.0 - p[1];
p[2] = 1.0 - p[2];
}
p[0]=1.0-(p[1] + p[2]);
}
};
/// Generate a random triple of baricentric coords
template <class PointType>
void generateBarycentric(PointType &p){
p[1] = this->generate01();
p[2] = this->generate01();
if(p[1] + p[2] > 1.0){
p[1] = 1.0 - p[1];
p[2] = 1.0 - p[2];
}
p[0]=1.0-(p[1] + p[2]);
}
}; // end class MarsenneTwisterRNG
/* Returns a value with normal distribution with mean m, standard deviation s
*