PaGMO  1.1.5
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pagmo::problem::griewank Class Reference

The Griewank problem. More...

#include <griewank.h>

Inheritance diagram for pagmo::problem::griewank:
Inheritance graph
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Public Member Functions

 griewank (int=1)
 Constructor from dimension. More...
 
base_ptr clone () const
 Clone method.
 
std::string get_name () const
 Get problem's name. More...
 
- Public Member Functions inherited from pagmo::problem::base
 base (int, int=0, int=1, int=0, int=0, const double &=0)
 Constructor from global dimension, integer dimension, fitness dimension, global constraints dimension, inequality constraints dimension and constraints tolerance. More...
 
 base (int, int, int, int, int, const std::vector< double > &)
 Constructor from global dimension, integer dimension, fitness dimension, global constraints dimension, inequality constraints dimension and constraints tolerance. More...
 
 base (const double &, const double &, int, int=0, int=1, int=0, int=0, const double &=0)
 Constructor from values for lower and upper bounds, global dimension, integer dimension, fitness dimension, global constraints dimension, inequality constraints dimension and constraints tolerance. More...
 
 base (const decision_vector &, const decision_vector &, int=0, int=1, int=0, int=0, const double &=0)
 Constructor from upper/lower bounds, integer dimension, fitness dimension, global constraints dimension, inequality constraints dimension and constraints tolerance. More...
 
template<std::size_t N>
 base (const double(&v1)[N], const double(&v2)[N], int ni=0, int nf=1, int nc=0, int nic=0, const double &c_tol=0)
 Constructor from raw arrays, integer dimension, fitness dimension, global constraints dimension, inequality constraints dimension and constraints tolerance. More...
 
template<class Iterator1 , class Iterator2 >
 base (Iterator1 start1, Iterator1 end1, Iterator2 start2, Iterator2 end2, int ni=0, int nf=1, int nc=0, int nic=0, const double &c_tol=0)
 Constructor from iterators, integer dimension, fitness dimension, global constraints dimension, inequality constraints dimension and constraints tolerance. More...
 
virtual ~base ()
 Trivial destructor. More...
 
std::string human_readable () const
 Return human readable representation of the problem. More...
 
virtual std::string human_readable_extra () const
 Extra information in human readable format. More...
 
bool operator== (const base &) const
 Equality operator. More...
 
bool operator!= (const base &) const
 Inequality operator. More...
 
bool is_compatible (const base &) const
 Compatibility operator. More...
 
bool compare_x (const decision_vector &, const decision_vector &) const
 Compare decision vectors. More...
 
bool verify_x (const decision_vector &) const
 Verify compatibility of decision vector x with problem. More...
 
bool compare_fc (const fitness_vector &, const constraint_vector &, const fitness_vector &, const constraint_vector &) const
 Simultaneous fitness-constraint comparison. More...
 
virtual void pre_evolution (population &) const
 Pre-evolution hook. More...
 
virtual void post_evolution (population &) const
 Post-evolution hook. More...
 
virtual void set_sparsity (int &lenG, std::vector< int > &iGfun, std::vector< int > &jGvar) const
 Sets the sparsity pattern of the gradient. More...
 
const decision_vectorget_lb () const
 Lower bounds getter. More...
 
const decision_vectorget_ub () const
 Upper bounds getter. More...
 
void set_bounds (const decision_vector &, const decision_vector &)
 Bounds setter from pagmo::decision_vector. More...
 
template<class Iterator1 , class Iterator2 >
void set_bounds (Iterator1 start1, Iterator1 end1, Iterator2 start2, Iterator2 end2)
 Bounds setter from iterators. More...
 
template<std::size_t N>
void set_bounds (const double(&v1)[N], const double(&v2)[N])
 Bounds setter from raw arrays. More...
 
void set_bounds (const double &, const double &)
 Set bounds to specified values. More...
 
void set_bounds (int, const double &, const double &)
 Set bounds to specified values. More...
 
void set_lb (const decision_vector &)
 Set lower bounds from pagmo::decision_vector. More...
 
void set_lb (int, const double &)
 Set specific lower bound to value. More...
 
void set_lb (const double &)
 Set all lower bounds to value. More...
 
template<class Iterator >
void set_lb (Iterator start, Iterator end)
 Lower bounds setter from iterators. More...
 
template<std::size_t N>
void set_lb (const double(&v)[N])
 Lower bounds setter from raw array. More...
 
void set_ub (const decision_vector &)
 Set upper bounds from pagmo::decision_vector. More...
 
void set_ub (int, const double &)
 Set specific upper bound to value. More...
 
void set_ub (const double &)
 Set all upper bounds to value. More...
 
template<class Iterator >
void set_ub (Iterator start, Iterator end)
 Upper bounds setter from iterators. More...
 
template<std::size_t N>
void set_ub (const double(&v)[N])
 Upper bounds setter from raw array. More...
 
unsigned int get_fevals () const
 Return number of function evaluations. More...
 
unsigned int get_cevals () const
 Return number of constraints function evaluations. More...
 
size_type get_dimension () const
 Return global dimension. More...
 
size_type get_i_dimension () const
 Return integer dimension. More...
 
f_size_type get_f_dimension () const
 Return fitness dimension. More...
 
c_size_type get_c_dimension () const
 Return global constraints dimension. More...
 
c_size_type get_ic_dimension () const
 Return inequality constraints dimension. More...
 
const std::vector< double > & get_c_tol () const
 Return constraints tolerance. More...
 
double get_diameter () const
 Get the diameter of the problem. More...
 
constraint_vector compute_constraints (const decision_vector &) const
 Compute constraints and return constraint vector. More...
 
void compute_constraints (constraint_vector &, const decision_vector &) const
 Compute constraints and write them into contraint vector. More...
 
bool compare_constraints (const constraint_vector &, const constraint_vector &) const
 Compare constraint vectors. More...
 
bool test_constraint (const constraint_vector &, const c_size_type &) const
 Test i-th constraint of c (using tolerance information). More...
 
bool feasibility_x (const decision_vector &) const
 Test feasibility of decision vector. More...
 
bool feasibility_c (const constraint_vector &) const
 Test feasibility of constraint vector. More...
 
fitness_vector objfun (const decision_vector &) const
 Return fitness of pagmo::decision_vector. More...
 
void objfun (fitness_vector &, const decision_vector &) const
 Write fitness of pagmo::decision_vector into pagmo::fitness_vector. More...
 
bool compare_fitness (const fitness_vector &, const fitness_vector &) const
 Compare fitness vectors. More...
 
void reset_caches () const
 Reset internal caches. More...
 
const std::vector< constraint_vector > & get_best_c (void) const
 Get the best known constraint vector. More...
 
const std::vector< decision_vector > & get_best_x (void) const
 Get the best known decision vector. More...
 
const std::vector< fitness_vector > & get_best_f (void) const
 Get the best known fitness vector. More...
 
void set_best_x (const std::vector< decision_vector > &)
 Sets the best known decision vectors. More...
 

Protected Member Functions

void objfun_impl (fitness_vector &, const decision_vector &) const
 Implementation of the objective function.
 
- Protected Member Functions inherited from pagmo::problem::base
virtual bool equality_operator_extra (const base &) const
 Extra requirements for equality. More...
 
virtual bool compare_fc_impl (const fitness_vector &, const constraint_vector &, const fitness_vector &, const constraint_vector &) const
 Implementation of simultaneous fitness-constraint comparison. More...
 
void estimate_sparsity (const decision_vector &, int &lenG, std::vector< int > &iGfun, std::vector< int > &jGvar) const
 Heuristics to estimate the sparsity pattern of the problem. More...
 
void estimate_sparsity (int &lenG, std::vector< int > &iGfun, std::vector< int > &jGvar) const
 Heuristics to estimate the sparsity pattern of the problem. More...
 
virtual void compute_constraints_impl (constraint_vector &, const decision_vector &) const
 Implementation of constraint computation. More...
 
virtual bool compare_constraints_impl (const constraint_vector &, const constraint_vector &) const
 Implementation of constraint vector comparison. More...
 
virtual bool compare_fitness_impl (const fitness_vector &, const fitness_vector &) const
 Implementation of fitness vectors comparison. More...
 

Friends

class boost::serialization::access
 

Additional Inherited Members

- Public Types inherited from pagmo::problem::base
typedef decision_vector::size_type size_type
 Problem's size type: the same as pagmo::decision_vector's size type.
 
typedef fitness_vector::size_type f_size_type
 Fitness' size type: the same as pagmo::fitness_vector's size type.
 
typedef constraint_vector::size_type c_size_type
 Constraints' size type: the same as pagmo::constraint_vector's size type.
 
- Static Public Attributes inherited from pagmo::problem::base
static const std::size_t cache_capacity = 5
 Capacity of the internal caches.
 

Detailed Description

The Griewank problem.

griewank.jpg
Two-dimensional Griewank function.

This is a box-constrained continuous single-objecive problem. The objective function is the generalised n-dimensional Griewank function:

\[ F\left(x_1,\ldots,x_n\right) = \sum_{i=1}^n x_i^2 / 4000 - \prod_{i=1}^n\cos\frac{x_i}{\sqrt{i}}, \quad x_i \in \left[ -600,600 \right]. \]

The global minimum is in $x_i=0$, where $ F\left( 0,\ldots,0 \right) = 0 $.

See also
http://www-optima.amp.i.kyoto-u.ac.jp/member/student/hedar/Hedar_files/TestGO.htm
Author
Dario Izzo (dario.nosp@m..izz.nosp@m.o@esa.nosp@m..int)

Definition at line 52 of file griewank.h.

Constructor & Destructor Documentation

pagmo::problem::griewank::griewank ( int  n = 1)

Constructor from dimension.

Will construct an n dimensional Griewank problem.

Parameters
[in]ninteger dimension of the problem.
See also
problem::base constructors.

Definition at line 43 of file griewank.cpp.

Member Function Documentation

std::string pagmo::problem::griewank::get_name ( ) const
virtual

Get problem's name.

Default implementation will return the problem's mangled C++ name.

Returns
name of the problem.

Reimplemented from pagmo::problem::base.

Definition at line 70 of file griewank.cpp.


The documentation for this class was generated from the following files: