prec.h File Reference

Precision testing module. More...

#include <string>
#include <vector>
#include <map>
#include <fstream>
#include <iostream>
#include <ctime>
#include "./prec/prec_structures.h"
#include "./prec/fail.h"
#include "./prec/estimator.h"
#include "./core/output.h"
#include "./core/random.h"

Go to the source code of this file.

Classes
class	chebyshev::prec::prec_settings
	of the precision testing module. More...
class	chebyshev::prec::prec_results
	of the precision testing module. More...

Namespaces
	chebyshev
	General namespace of the framework.
	chebyshev::prec
	Precision testing module.
	chebyshev::prec::property
	Property testing of functions.

Functions
void	chebyshev::prec::setup (std::string moduleName, int argc=0, const char **argv=nullptr)
	Setup the precision testing environment. More...
void	chebyshev::prec::terminate (bool exit=true)
	Terminate the precision testing environment, printing the results to standard output and output files. More...
template<typename R , typename ... Args, typename Function1 = std::function<R(Args...)>, typename Function2 = Function1>
void	chebyshev::prec::estimate (const std::string &name, Function1 funcApprox, Function2 funcExpected, estimate_options< R, Args... > opt)
	Estimate error integrals over a function with respect to an exact function, with the given options. More...
template<typename R , typename ... Args, typename Function1 = std::function<R(Args...)>, typename Function2 = Function1>
void	chebyshev::prec::estimate (const std::string &name, Function1 funcApprox, Function2 funcExpected, std::vector< interval > domain, long double tolerance, unsigned int iterations, FailFunction fail, Estimator< R, Args... > estimator, bool quiet=false)
	Estimate error integrals over a function with respect to an exact function. More...
void	chebyshev::prec::estimate (const std::string &name, EndoFunction< double > funcApprox, EndoFunction< double > funcExpected, interval domain, long double tolerance=settings.defaultTolerance, unsigned int iterations=settings.defaultIterations, FailFunction fail=fail::fail_on_max_err(), Estimator< double, double > estimator=estimator::quadrature1D< double >(), bool quiet=false)
	Estimate error integrals over a real function of real variable, with respect to an exact function. More...
template<typename Type , typename Identity = EndoFunction<Type>>
void	chebyshev::prec::property::identity (const std::string &name, Identity id, const estimate_options< Type, Type > &opt)
	Precision testing of an endofunction which is equivalent to the identity. More...
template<typename Type , typename Involution = EndoFunction<Type>>
void	chebyshev::prec::property::involution (const std::string &name, Involution invol, const estimate_options< Type, Type > &opt)
	Precision testing of an endofunction which is an involution. More...
template<typename Type , typename Involution = EndoFunction<Type>>
void	chebyshev::prec::property::idempotence (const std::string &name, Involution idem, const estimate_options< Type, Type > &opt)
	Precision testing of an endofunction which is idempotent. More...
template<typename InputType , typename OutputType = InputType, typename Homogeneous = std::function<OutputType(InputType)>>
void	chebyshev::prec::property::homogeneous (const std::string &name, Homogeneous hom, const estimate_options< InputType, OutputType > &opt, OutputType zero_element=OutputType(0.0))
	Precision testing of an function which is homogeneous over the domain. More...
template<typename T = double>
void	chebyshev::prec::equals (const std::string &name, const T &evaluated, const T &expected, equation_options< T > opt=equation_options< T >())
	Test an equivalence up to a tolerance, with the given options (e.g. More...
template<typename T = double>
void	chebyshev::prec::equals (const std::string &name, const T &evaluated, const T &expected, long double tolerance, DistanceFunction< T > distance, bool quiet=false)
	Test an equivalence up to a tolerance, with the given options (e.g. More...
void	chebyshev::prec::equals (const std::string &name, long double evaluated, long double expected, long double tolerance=settings.defaultTolerance, bool quiet=false)
	Test an equivalence up to a tolerance, with the given options (e.g. More...
template<typename T >
void	chebyshev::prec::equals (const std::string &name, std::vector< std::array< T, 2 >> values, long double tolerance=settings.defaultTolerance, bool quiet=false)
	Evaluate multiple pairs of values for equivalence up to the given tolerance (e.g. More...

Variables
struct chebyshev::prec::prec_settings	chebyshev::prec::settings
struct chebyshev::prec::prec_results	chebyshev::prec::results

Detailed Description

Precision testing module.