LunacekBiRastriginFunction::LunacekBiRastriginFunction(
const arma::uword numberOfDimensions)
: BlackBoxOptimisationBenchmark(numberOfDimensions),
s_(1.0 - 0.5 / (std::sqrt(static_cast<double>(numberOfDimensions_) + 20.0) - 4.1)),
mu_(std::sqrt(5.25 / s_)),
parameterConditinong_(getParameterConditioning(10.0)),
rotationR_(randomRotationMatrix(numberOfDimensions_)),
rotationQ_(randomRotationMatrix(numberOfDimensions_)) {
// A vector with all elements randomly and uniformly set to either 2 or -2.
setParameterScaling(arma::zeros<arma::Col<double>>(numberOfDimensions_) + (std::bernoulli_distribution(0.5)(Rng::getGenerator()) ? 2.0 : -2.0));
#if defined(SUPPORT_MPI)
MPI_Bcast(rotationR_.memptr(), static_cast<int>(rotationR_.n_elem), MPI_DOUBLE, 0, MPI_COMM_WORLD);
MPI_Bcast(rotationQ_.memptr(), static_cast<int>(rotationQ_.n_elem), MPI_DOUBLE, 0, MPI_COMM_WORLD);
#endif
setObjectiveFunction(
[this](
const arma::Col<double>& parameter_) {
assert(parameter_.n_elem == numberOfDimensions_);
return std::min(std::pow(arma::norm(parameter_ - 2.5), 2.0), static_cast<double>(numberOfDimensions_) + s_ * std::pow(arma::norm(parameter_ + mu_), 2.0)) + 10.0 * (static_cast<double>(numberOfDimensions_) - arma::accu(arma::cos(2.0 * arma::datum::pi * rotationQ_ * (parameterConditinong_ % (rotationR_ * (parameter_ - 2.5))))));
},
"BBOB Lunacek bi-Rastrigin Function (f24)");
}
WeierstrassFunction::WeierstrassFunction(
const arma::uword numberOfDimensions)
: BlackBoxOptimisationBenchmark(numberOfDimensions),
parameterConditioning_(getParameterConditioning(std::sqrt(0.01))),
rotationR_(randomRotationMatrix(numberOfDimensions_)),
rotationQ_(randomRotationMatrix(numberOfDimensions_)) {
setParameterTranslation(getRandomParameterTranslation());
#if defined(SUPPORT_MPI)
MPI_Bcast(rotationR_.memptr(), static_cast<int>(rotationR_.n_elem), MPI_DOUBLE, 0, MPI_COMM_WORLD);
MPI_Bcast(rotationQ_.memptr(), static_cast<int>(rotationQ_.n_elem), MPI_DOUBLE, 0, MPI_COMM_WORLD);
#endif
setObjectiveFunction(
[this](
const arma::Col<double>& parameter_) {
assert(parameter_.n_elem == numberOfDimensions_);
const arma::Col<double>& z = rotationR_ * (parameterConditioning_ % (rotationQ_ * getOscillatedParameter(rotationR_ * parameter_)));
double sum = 0.0;
for (arma::uword n = 0; n < z.n_elem; ++n) {
for (arma::uword k = 0; k < 12; ++k) {
sum += std::pow(0.5, k) * std::cos(2.0 * arma::datum::pi * std::pow(3.0, k) * (z(n) + 0.5));
}
}
return 10.0 * std::pow(sum / static_cast<double>(numberOfDimensions_) +1.99951171875, 3.0);
},
"BBOB Weierstrass Function (f16)");
}
GallaghersGaussian21hiPeaksFunction::GallaghersGaussian21hiPeaksFunction(
const arma::uword numberOfDimensions)
: BlackBoxOptimisationBenchmark(numberOfDimensions),
weight_(arma::join_cols(arma::Col<double>({10.0}), arma::linspace<arma::Col<double>>(1.1, 9.1, 20))),
localParameterConditionings_(getRandomLocalParameterHighConditionings(21)),
localParameterTranslations_(arma::randu<arma::Mat<double>>(numberOfDimensions_, 21) * 9.8 - 4.9),
rotationQ_(randomRotationMatrix(numberOfDimensions_)) {
localParameterTranslations_.col(0) = 0.8 * localParameterTranslations_.col(0);
#if defined(SUPPORT_MPI)
MPI_Bcast(localParameterConditionings_.memptr(), static_cast<int>(localParameterConditionings_.n_elem), MPI_DOUBLE, 0, MPI_COMM_WORLD);
MPI_Bcast(localParameterTranslations_.memptr(), static_cast<int>(localParameterTranslations_.n_elem), MPI_DOUBLE, 0, MPI_COMM_WORLD);
MPI_Bcast(rotationQ_.memptr(), static_cast<int>(rotationQ_.n_elem), MPI_DOUBLE, 0, MPI_COMM_WORLD);
#endif
setObjectiveFunction(
[this](
const arma::Col<double>& parameter_) {
assert(parameter_.n_elem == numberOfDimensions_);
double maximalValue = std::numeric_limits<double>::lowest();
for (arma::uword n = 0; n < 21; ++n) {
const arma::Col<double>& localParameterTranslation = parameter_ - localParameterTranslations_.col(n);
maximalValue = std::max(maximalValue, weight_(n) * std::exp(-0.5 / static_cast<double>(numberOfDimensions_) * arma::dot(localParameterTranslation, rotationQ_.t() * arma::diagmat(localParameterConditionings_.col(n)) * rotationQ_ * localParameterTranslation)));
}
return std::pow(getOscillatedValue(10.0 - maximalValue), 2.0);
},
"BBOB Gallagher's Gaussian 21-hi Peaks Function (f22)");
}
SharpRidgeFunction::SharpRidgeFunction(
const arma::uword numberOfDimensions)
: BlackBoxOptimisationBenchmark(numberOfDimensions),
parameterConditioning_(getParameterConditioning(std::sqrt(10.0))),
rotationQ_(synchronise(randomRotationMatrix(numberOfDimensions_))) {
if (numberOfDimensions_ < 2) {
throw std::domain_error("SharpRidgeFunction: The number of dimensions must be greater than 1.");
}
setParameterTranslation(getRandomParameterTranslation());
setParameterRotation(randomRotationMatrix(numberOfDimensions_));
setObjectiveFunctions({{[this](
const arma::vec& parameter_) {
assert(parameter_.n_elem == numberOfDimensions_);
const arma::vec& z = rotationQ_ * (parameterConditioning_ % parameter_);
return std::pow(z(0), 2.0) + 100.0 * arma::norm(z.tail(z.n_elem - 1));
},
"BBOB Sharp Ridge Function (f13)"}});
}
SharpRidgeFunction::SharpRidgeFunction(
const arma::uword numberOfDimensions)
: BlackBoxOptimisationBenchmark(numberOfDimensions),
parameterConditioning_(getParameterConditioning(std::sqrt(10.0))),
rotationQ_(randomRotationMatrix(numberOfDimensions_)) {
setParameterTranslation(getRandomParameterTranslation());
setParameterRotation(randomRotationMatrix(numberOfDimensions_));
#if defined(SUPPORT_MPI)
MPI_Bcast(rotationQ_.memptr(), static_cast<int>(rotationQ_.n_elem), MPI_DOUBLE, 0, MPI_COMM_WORLD);
#endif
setObjectiveFunction(
[this](
const arma::Col<double>& parameter_) {
assert(parameter_.n_elem == numberOfDimensions_);
const arma::Col<double>& z = rotationQ_ * (parameterConditioning_ % parameter_);
return std::pow(z(0), 2.0) + 100.0 * arma::norm(z.tail(z.n_elem - 1));
},
"BBOB Sharp Ridge Function (f13)");
}
AttractiveSectorFunction::AttractiveSectorFunction(
const arma::uword numberOfDimensions)
: BlackBoxOptimisationBenchmark(numberOfDimensions),
parameterConditioning_(getParameterConditioning(std::sqrt(10.0))),
rotationQ_(synchronise(randomRotationMatrix(numberOfDimensions_))) {
if (numberOfDimensions_ < 2) {
throw std::domain_error("AttractiveSectorFunction: The number of dimensions must be greater than 1.");
}
setParameterTranslation(getRandomParameterTranslation());
setParameterRotation(randomRotationMatrix(numberOfDimensions_));
setObjectiveFunctions({{[this](
const arma::vec& parameter_) {
assert(parameter_.n_elem == numberOfDimensions_);
arma::vec z = rotationQ_ * (parameterConditioning_ % parameter_);
z.elem(arma::find(z % parameterTranslation_ > 0.0)) *= 100.0;
return std::pow(getOscillatedValue(std::pow(arma::norm(z), 2.0)), 0.9);
},
"BBOB Attractive Sector Function (f6)"}});
}
SchaffersF7Function::SchaffersF7Function(
const arma::uword numberOfDimensions)
: BlackBoxOptimisationBenchmark(numberOfDimensions),
parameterConditioning_(getParameterConditioning(std::sqrt(10.0))),
rotationQ_(synchronise(randomRotationMatrix(numberOfDimensions_))) {
if (numberOfDimensions_ < 2) {
throw std::domain_error("SchaffersF7Function: The number of dimensions must be greater than 1.");
}
setParameterTranslation(getRandomParameterTranslation());
setParameterRotation(randomRotationMatrix(numberOfDimensions_));
setObjectiveFunctions({{[this](
const arma::vec& parameter_) {
assert(parameter_.n_elem == numberOfDimensions_);
const arma::vec& s = arma::square(parameterConditioning_ % (rotationQ_ * getAsymmetricParameter(0.5, parameter_)));
const arma::vec& z = arma::pow(s.head(s.n_elem - 1) + s.tail(s.n_elem - 1), 0.25);
return std::pow(arma::mean(z % (1.0 + arma::square(arma::sin(50.0 * arma::pow(z, 0.4))))), 2.0);
},
"BBOB Schaffers F7 Function (f17)"}});
}
RastriginFunctionRotated::RastriginFunctionRotated(
const arma::uword numberOfDimensions)
: BlackBoxOptimisationBenchmark(numberOfDimensions),
parameterConditioning_(getParameterConditioning(std::sqrt(10.0))),
rotationR_(synchronise(randomRotationMatrix(numberOfDimensions_))),
rotationQ_(synchronise(randomRotationMatrix(numberOfDimensions_))) {
if (numberOfDimensions_ < 2) {
throw std::domain_error("RastriginFunctionRotated: The number of dimensions must be greater than 1.");
} else if (!isRepresentableAsFloatingPoint(numberOfDimensions_)) {
throw std::overflow_error("RastriginFunctionRotated: The number of elements must be representable as a floating point.");
}
setParameterTranslation(getRandomParameterTranslation());
setObjectiveFunctions({{[this](
const arma::vec& parameter_) {
assert(parameter_.n_elem == numberOfDimensions_);
const arma::vec& z = rotationR_ * (parameterConditioning_ % (rotationQ_ * getAsymmetricParameter(0.2, getOscillatedParameter(rotationR_ * parameter_))));
return 10.0 * (static_cast<double>(numberOfDimensions_) - arma::accu(arma::cos(2.0 * arma::datum::pi * z))) + std::pow(arma::norm(z), 2.0);
},
"BBOB Rastrigin Function, rotated (f15)"}});
}
SchaffersF7FunctionIllConditioned::SchaffersF7FunctionIllConditioned(
const arma::uword numberOfDimensions)
: BlackBoxOptimisationBenchmark(numberOfDimensions),
parameterConditioning_(getParameterConditioning(std::sqrt(1000.0))),
rotationQ_(randomRotationMatrix(numberOfDimensions_)) {
setParameterTranslation(getRandomParameterTranslation());
setParameterRotation(randomRotationMatrix(numberOfDimensions_));
#if defined(SUPPORT_MPI)
MPI_Bcast(rotationQ_.memptr(), static_cast<int>(rotationQ_.n_elem), MPI_DOUBLE, 0, MPI_COMM_WORLD);
#endif
setObjectiveFunction(
[this](
const arma::Col<double>& parameter_) {
assert(parameter_.n_elem == numberOfDimensions_);
const arma::Col<double>& s = arma::square(parameterConditioning_ % (rotationQ_ * getAsymmetricParameter(0.5, parameter_)));
const arma::Col<double>& z = arma::pow(s.head(s.n_elem - 1) + s.tail(s.n_elem - 1), 0.25);
return std::pow(arma::mean(z % (1.0 + arma::square(arma::sin(50.0 * arma::pow(z, 0.4))))), 2.0);
},
"BBOB Schaffers F7 Function, ill-conditioned (f18)");
}
RosenbrockFunctionRotated::RosenbrockFunctionRotated(
const arma::uword numberOfDimensions)
: BlackBoxOptimisationBenchmark(numberOfDimensions),
max_(std::max(1.0, std::sqrt(numberOfDimensions_) / 8.0)) {
setParameterRotation(randomRotationMatrix(numberOfDimensions_));
setObjectiveFunction(
[this](
const arma::Col<double>& parameter_) {
assert(parameter_.n_elem == numberOfDimensions_);
const arma::Col<double>& z = max_ * parameter_ + 0.5;
return 100.0 * std::pow(arma::norm(arma::square(z.head(z.n_elem - 1)) - z.tail(z.n_elem - 1)), 2.0) + std::pow(arma::norm(z.head(z.n_elem - 1) - 1.0), 2.0);
},
"BBOB Rosenbrock Function, rotated (f9)");
}
DifferentPowersFunction::DifferentPowersFunction(
const arma::uword numberOfDimensions)
: BlackBoxOptimisationBenchmark(numberOfDimensions) {
setParameterTranslation(getRandomParameterTranslation());
setParameterRotation(randomRotationMatrix(numberOfDimensions_));
setObjectiveFunction(
[this](
const arma::Col<double>& parameter_) {
assert(parameter_.n_elem == numberOfDimensions_);
const arma::Col<double>& z = arma::abs(parameter_);
return arma::norm(z % getConditionedParameter(arma::square(z)));
},
"BBOB Different Powers Function (f14)");
}
CompositeGriewankRosenbrockFunctionF8F2::CompositeGriewankRosenbrockFunctionF8F2(
const arma::uword numberOfDimensions)
: BlackBoxOptimisationBenchmark(numberOfDimensions),
max_(std::max(1.0, std::sqrt(numberOfDimensions_) / 8.0)) {
setParameterRotation(randomRotationMatrix(numberOfDimensions_));
setObjectiveFunction(
[this](
const arma::Col<double>& parameter_) {
assert(parameter_.n_elem == numberOfDimensions_);
const arma::Col<double>& s = max_ * parameter_ + 0.5;
const arma::Col<double>& z = 100.0 * arma::square(arma::square(s.head(s.n_elem - 1)) - s.tail(s.n_elem - 1)) + arma::square(s.head(s.n_elem - 1) - 1.0);
return 10.0 * (arma::mean(z / 4000.0 - arma::cos(z)) + 1.0);
},
"BBOB Composite Griewank Rosenbrock Function F8F2 (f19)");
}
