Files
differential-evolution/de.inl
T

504 lines
12 KiB
C++

#ifndef __de_inl__
#define __de_inl__
#include <cstdio>
#include <cmath>
#if !(defined(__de_h__))
# error "de.inl should only be included by de.h"
#endif
template <unsigned int DIM, unsigned int POPSIZE>
const double DE::Engine<DIM,POPSIZE>::DEFAULTSCALE = 0.85;
template <unsigned int DIM, unsigned int POPSIZE>
const double DE::Engine<DIM,POPSIZE>::DEFAULTCROSSOVER = 1.0;
template <unsigned int DIM, unsigned int POPSIZE>
const double DE::Engine<DIM,POPSIZE>::DEFAULTRANGE= 0.1;
template <unsigned int DIM, unsigned int POPSIZE>
const double DE::Engine<DIM,POPSIZE>::BIGDOUBLE = 1.79e308; // close to max double
template <unsigned int DIM, unsigned int POPSIZE>
inline DE::Engine<DIM,POPSIZE>::Engine()
{
// set defaults
scale = DEFAULTSCALE;
crossover = DEFAULTCROSSOVER;
for ( unsigned int i=0;i<DIM;++i )
{
this->mean[i] = 0.0;
this->variance[i] = DEFAULTRANGE;
}
// create an initial population
Reset();
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline DE::Engine<DIM,POPSIZE>::~Engine()
{
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::Reset()
{
// reset our best
bestfitness = BIGDOUBLE;
for ( unsigned int i=0;i<DIM;i++ )
{
best[i] = 0.0;
}
// reset all vectors
for ( unsigned int i=0;i<POPSIZE;i++ )
{
// energy tied for worst
fitness[i] = bestfitness;
// make a new individual
for ( unsigned int j=0;j<DIM;j++ )
{
population[i][j] = prng.RandGaussian(mean[j],variance[j]);
}
}
// reset state
generation = 0;
success = false;
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::SetRange(double minimum, double maximum)
{
for (unsigned int i=0;i<DIM;i++)
{
SetRange(i,minimum,maximum);
}
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::SetRange(unsigned int i, double minimum, double maximum)
{
if (i<DIM)
{
this->mean[i] = (maximum+minimum)/2.0;
this->variance[i] = (maximum-minimum)/2.0;
}
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::SetRange(const Vector<DIM>& minimum, const Vector<DIM>& maximum)
{
for (unsigned int i=0;i<DIM;i++)
{
SetRange(i,minimum[i],maximum[i]);
}
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline const double* DE::Engine<DIM,POPSIZE>::GetBest() const
{
return best;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::Select(
unsigned int candidate,
unsigned int *r1,
unsigned int *r2,
unsigned int *r3,
unsigned int *r4,
unsigned int *r5
)
{
if ( r1 )
{
do
{
*r1 = prng.RandU32(0,POPSIZE-1);
}
while ( *r1 == candidate );
}
if ( r2 )
{
do
{
*r2 = prng.RandU32(0,POPSIZE-1);
}
while ( (*r2 == candidate) || (*r2 == *r1) );
}
if ( r3 )
{
do
{
*r3 = prng.RandU32(0,POPSIZE-1);
}
while ( (*r3 == candidate) || (*r3 == *r2) || (*r3 == *r1) );
}
if ( r4 )
{
do
{
*r4 = prng.RandU32(0,POPSIZE-1);
}
while ( (*r4 == candidate) || (*r4 == *r3) || (*r4 == *r2) || (*r4 == *r1) );
}
if ( r5 )
{
do
{
*r5 = prng.RandU32(0,POPSIZE-1);
}
while ( (*r5 == candidate) || (*r5 == *r4) || (*r5 == *r3) || (*r5 == *r2) || (*r5 == *r1) );
}
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline bool DE::Engine<DIM,POPSIZE>::Solve(unsigned int maxgenerations)
{
// spawn a new generation
Reset();
// run generations until max or success
while(!success && generation<maxgenerations)
{
success = RunOneGeneration();
}
// output
printf("====== RUN COMPLETE =============================================\n\n");
Dump(bestfitness,best);
// finished
return success;
}
template <unsigned int DIM, unsigned int POPSIZE>
bool DE::Engine<DIM,POPSIZE>::RunOneGeneration()
{
printf("====== GENERATION %07d =============================================\n\n",++generation);
// attempt to improve each individual in the population
for (int candidate=0;candidate<POPSIZE && !success;candidate++)
{
// create a new trial individual to test
Vector<DIM> trial;
MakeTrial_randtobest1exp(candidate,trial);
// determine fitness of trial individual
double trialfitness = TestFitness(trial,success);
// see if the trial improved current candidate in population
if ( trialfitness < fitness[candidate] )
{
// it did improve, save it
fitness[candidate] = trialfitness;
population[candidate] = trial;
// see if it also improved upon our current best
if ( trialfitness < bestfitness )
{
// it's better than the best, save it
bestfitness = trialfitness;
best = trial;
// output new best
Dump(bestfitness,best);
}
}
}
return success;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::Dump(const double& fitness, DE::Vector<DIM>& individual) const
{
printf(" fitness = %24.16f\n",fitness);
for (unsigned int i=0;i<DIM;i++)
{
printf(" [%03d] = %24.16e\n",i,individual[i]);
}
printf("\n");
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::MakeTrial_best1exp(unsigned int candidate, DE::Vector<DIM>& trial)
{
unsigned int r1, r2;
unsigned int n;
Select(candidate, &r1, &r2);
n = prng.RandU32(0,DIM-1);
trial = population[candidate];
for (unsigned int i=0; (prng.RandDouble(0.0,1.0) < crossover) && (i < DIM); i++)
{
trial[n] = best[n] + scale * (population[r1][n] - population[r2][n]);
n = (n + 1) % DIM;
}
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::MakeTrial_rand1exp(unsigned int candidate, DE::Vector<DIM>& trial)
{
unsigned int r1, r2, r3;
unsigned int n;
Select(candidate, &r1, &r2, &r3);
n = prng.RandU32(0,DIM-1);
trial = population[candidate];
for (unsigned int i=0; (prng.RandDouble(0.0,1.0) <= crossover) && (i < DIM); i++)
{
trial[n] = population[r1][n] + scale * (population[r2][n] - population[r3][n]);
n = (n + 1) % DIM;
}
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::MakeTrial_randtobest1exp(unsigned int candidate, DE::Vector<DIM>& trial)
{
unsigned int r1, r2;
unsigned int n;
Select(candidate, &r1, &r2);
n = prng.RandU32(0,DIM-1);
trial = population[candidate];
for (unsigned int i=0; (prng.RandDouble(0.0,1.0) <= crossover) && (i < DIM); i++)
{
trial[n] += scale * (best[n] - trial[n]) + scale * (population[r1][n] - population[r2][n]);
n = (n + 1) % DIM;
}
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::MakeTrial_best2exp(unsigned int candidate, DE::Vector<DIM>& trial)
{
unsigned int r1, r2, r3, r4;
unsigned int n;
Select(candidate, &r1, &r2, &r3, &r4);
n = prng.RandU32(0,DIM-1);
trial = population[candidate];
for (unsigned int i=0; (prng.RandDouble(0.0,1.0) <= crossover) && (i < DIM); i++)
{
trial[n] = best[n] + scale * (population[r1][n] + population[r2][n] - population[r3][n] - population[r4][n]);
n = (n + 1) % DIM;
}
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::MakeTrial_rand2exp(unsigned int candidate, DE::Vector<DIM>& trial)
{
unsigned int r1, r2, r3, r4, r5;
unsigned int n;
Select(candidate, &r1, &r2, &r3 ,&r4, &r5);
n = prng.RandU32(0,DIM-1);
trial = population[candidate];
for (unsigned int i=0; (prng.RandDouble(0.0,1.0) <= crossover) && (i < DIM); i++)
{
trial[n] = population[r1][n] + scale * (population[r2][n] + population[r3][n] - population[r4][n] - population[r5][n]);
n = (n + 1) % DIM;
}
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::MakeTrial_best1bin(unsigned int candidate, DE::Vector<DIM>& trial)
{
unsigned int r1, r2;
unsigned int n;
Select(candidate, &r1, &r2);
n = prng.RandU32(0,DIM-1);
trial = population[candidate];
for (unsigned int i=0; i < DIM; i++)
{
if ( (prng.RandDouble(0.0,1.0) <= crossover) || (i == (DIM - 1)) )
{
trial[n] = best[n] + scale * (population[r1][n] - population[r2][n]);
}
n = (n + 1) % DIM;
}
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::MakeTrial_rand1bin(unsigned int candidate, DE::Vector<DIM>& trial)
{
unsigned int r1, r2, r3;
unsigned int n;
Select(candidate, &r1, &r2, &r3);
n = prng.RandU32(0,DIM-1);
trial = population[candidate];
for (unsigned int i=0; i < DIM; i++)
{
if ( (prng.RandDouble(0.0,1.0) <= crossover) || (i == (DIM - 1)) )
{
trial[n] = population[r1][n] + scale * (population[r2][n] - population[r3][n]);
}
n = (n + 1) % DIM;
}
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::MakeTrial_randtobest1bin(unsigned int candidate, DE::Vector<DIM>& trial)
{
unsigned int r1, r2;
unsigned int n;
Select(candidate, &r1, &r2);
n = prng.RandU32(0,DIM-1);
trial = population[candidate];
for (unsigned int i=0; i < DIM; i++)
{
if ( (prng.RandDouble(0.0,1.0) <= crossover) || (i == (DIM - 1)) )
{
trial[n] += scale * (best[n] - trial[n]) + scale * (population[r1][n] - population[r2][n]);
}
n = (n + 1) % DIM;
}
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::MakeTrial_best2bin(unsigned int candidate, DE::Vector<DIM>& trial)
{
unsigned int r1, r2, r3, r4;
unsigned int n;
Select(candidate, &r1, &r2, &r3, &r4);
n = prng.RandU32(0,DIM-1);
trial = population[candidate];
for (unsigned int i=0; i < DIM; i++)
{
if ( (prng.RandDouble(0.0,1.0) <= crossover) || (i == (DIM - 1)) )
{
trial[n] = best[n] + scale * (population[r1][n] + population[r2][n] - population[r3][n] - population[r4][n]);
}
n = (n + 1) % DIM;
}
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::MakeTrial_rand2bin(unsigned int candidate, DE::Vector<DIM>& trial)
{
unsigned int r1, r2, r3, r4, r5;
unsigned int n;
Select(candidate, &r1, &r2, &r3, &r4, &r5);
n = prng.RandU32(0,DIM-1);
trial = population[candidate];
for (unsigned int i=0; i < DIM; i++)
{
if ( (prng.RandDouble(0.0,1.0) <= crossover) || (i == (DIM - 1)) )
{
trial[n] = population[r1][n] + scale * (population[r2][n] + population[r3][n] - population[r4][n] - population[r5][n]);
}
n = (n + 1) % DIM;
}
return;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline DE::Engine<DIM,POPSIZE>::ErrorAccumulator::ErrorAccumulator()
{
Clear();
}
template <unsigned int DIM, unsigned int POPSIZE>
inline DE::Engine<DIM,POPSIZE>::ErrorAccumulator::~ErrorAccumulator()
{
// empty
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::ErrorAccumulator::Clear()
{
num_tests = 0;
sum_error_squared = 0.0;
error_rmse = 0.0; // initial error == zero
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::ErrorAccumulator::AddTestCase(double expected, double actual)
{
double e = expected - actual; // compute error
sum_error_squared += e * e; // add to sum of error^2
num_tests += 1; // increment total test count
error_rmse = -1.0; // mark as dirty
}
template <unsigned int DIM, unsigned int POPSIZE>
inline double DE::Engine<DIM,POPSIZE>::ErrorAccumulator::GetRMSE()
{
if ( error_rmse < 0.0 ) // recalculate if set to "dirty"
CalculateError();
return error_rmse;
}
template <unsigned int DIM, unsigned int POPSIZE>
inline void DE::Engine<DIM,POPSIZE>::ErrorAccumulator::CalculateError()
{
// convert squared error to root mean squared error
error_rmse = ::sqrt(sum_error_squared / (double)num_tests);
}
#endif // __de_inl__