The namespace of the GSL wrappers More...

Functions
void	check_GSL_fail (const int status, const bool exit, const std::string CBLfunction, const std::string GSLroutine)
	Function used to check output of the wrapped GSL routines. More...

double	generic_function (const double xx, void *params)
	function used to integrate interpolated function More...

double	generic_roots (double xx, void *params)
	generic roots More...

double	generic_minimizer (const gsl_vector xx, void params)
	generic roots More...

double	generic_minimizer_return (const gsl_vector xx, void params)
	generic roots More...

double	GSL_derivative (gsl_function Func, const double xx, const double hh, const double prec=1.e-2)
	the derivative of a function More...

double	GSL_integrate_romberg (gsl_function Func, const double a, const double b, const int npoints, const double eps_rel=1.e-4, const double eps_abs=1.e-12)
	integral, using the gsl romberg method More...

double	GSL_integrate_cquad (gsl_function func, const double a, const double b, const double rel_err=1.e-3, const double abs_err=0, const int nevals=100)
	integral, using the gsl cquad method More...

double	GSL_integrate_qag (gsl_function Func, const double a, const double b, const double rel_err=1.e-3, const double abs_err=0, const int limit_size=1000, const int rule=6)
	integral, computed using the GSL qag method More...

double	GSL_integrate_qags (gsl_function Func, const double a, const double b, const double rel_err=1.e-3, const double abs_err=0, const int limit_size=1000)
	integral, computed using the GSL qags method More...

double	GSL_integrate_qaws (gsl_function Func, const double a, const double b, const double alpha=0, const double beta=0, const int mu=1, const int nu=0, const double rel_err=1.e-3, const double abs_err=0, const int limit_size=1000)
	integral, computed using the GSL qaws method More...

double	GSL_integrate_qagiu (gsl_function Func, const double a, const double rel_err=1.e-3, const double abs_err=0, const int limit_size=1000)
	integral, computed using the GSL qagiu method More...

double	GSL_derivative (FunctionDoubleDouble func, const double xx, const double hh, const double prec=1.e-2)
	the derivative of a function More...

double	GSL_integrate_romberg (FunctionDoubleDouble Func, const double a, const double b, const int npoints, const double eps_rel=1.e-4, const double eps_abs=1.e-12)
	integral, using the gsl romberg method More...

double	GSL_integrate_cquad (FunctionDoubleDouble func, const double a, const double b, const double rel_err=1.e-3, const double abs_err=0, const int nevals=100)
	integral, using the GSL cquad method More...

double	GSL_integrate_qag (FunctionDoubleDouble func, const double a, const double b, const double rel_err=1.e-3, const double abs_err=0, const int limit_size=1000, const int rule=6)
	integral, using the GSL qag method More...

double	GSL_integrate_qags (FunctionDoubleDouble func, const double a, const double b, const double rel_err=1.e-3, const double abs_err=0, const int limit_size=1000)
	integral, using the GSL qags method More...

double	GSL_integrate_qagiu (FunctionDoubleDouble func, const double a, const double rel_err=1.e-3, const double abs_err=0, const int limit_size=1000)
	integral, using the GSL qagiu method More...

double	GSL_integrate_qaws (FunctionDoubleDouble func, const double a, const double b, const double alpha=0, const double beta=0, const int mu=1, const int nu=0, const double rel_err=1.e-3, const double abs_err=0, const int limit_size=1000)
	integral, using the GSL qaws method More...

double	GSL_integrate_cquad (FunctionDoubleDoublePtrVectorRef func, std::shared_ptr< void > pp, std::vector< double > par, const double a, const double b, const double rel_err=1.e-3, const double abs_err=0, const int nevals=100)
	integral, using the GSL cquad method More...

double	GSL_integrate_qag (FunctionDoubleDoublePtrVectorRef func, std::shared_ptr< void > pp, std::vector< double > par, const double a, const double b, const double rel_err=1.e-3, const double abs_err=0, const int limit_size=1000, const int rule=6)
	integral, using the GSL qag method More...

double	GSL_integrate_qags (FunctionDoubleDoublePtrVectorRef func, std::shared_ptr< void > pp, std::vector< double > par, const double a, const double b, const double rel_err=1.e-3, const double abs_err=0, const int limit_size=1000)
	integral, using the GSL qags method More...

double	GSL_integrate_qagiu (FunctionDoubleDoublePtrVectorRef func, std::shared_ptr< void > pp, std::vector< double > par, const double a, const double rel_err=1.e-3, const double abs_err=0, const int limit_size=1000)
	integral, using the GSL qagiu method More...

double	GSL_integrate_qaws (FunctionDoubleDoublePtrVectorRef func, std::shared_ptr< void > pp, std::vector< double > par, const double a, const double b, const double alpha=0, const double beta=0, const int mu=1, const int nu=0, const double rel_err=1.e-3, const double abs_err=0, const int limit_size=1000)
	integral, using the GSL qag method More...

double	GSL_root_brent (gsl_function Func, const double low_guess, const double up_guess, const double rel_err=1.e-3, const double abs_err=0)
	function to find roots using GSL qag method More...

double	GSL_root_brent (FunctionDoubleDouble func, double xx0, const double low_guess, const double up_guess, const double rel_err=1.e-3, const double abs_err=0)
	function to find roots using GSL brent method More...

std::vector< double >	GSL_minimize_nD (FunctionDoubleVector func, const std::vector< double > start, const std::vector< std::vector< double >> ranges, const unsigned int max_iter=1000, const double tol=1.e-6, const double epsilon=0.1)
	minimize the provided function using GSL procedure More...

std::vector< double >	GSL_minimize_nD (FunctionDoubleVectorRef func, const std::vector< double > start, const std::vector< std::vector< double >> ranges, const unsigned int max_iter=1000, const double tol=1.e-6, const double epsilon=0.1)
	minimize the provided function using GSL procedure More...

double	GSL_minimize_1D (FunctionDoubleDouble func, const double start, double min=par::defaultDouble, double max=-par::defaultDouble, const int max_iter=1000, const bool verbose=false)
	minimize the provided function using GSL procedure More...

double	GSL_polynomial_eval (const double x, const std::shared_ptr< void > fixed_parameters, const std::vector< double > coeff)
	evaluate a polynomial More...

void	GSL_polynomial_root (const std::vector< double > coeff, std::vector< std::vector< double >> &root)
	find polynomial roots More...

Detailed Description

The namespace of the GSL wrappers

The gsl namespace contains all the wrapper functions of the GSL routines

Function Documentation

◆ check_GSL_fail()

void cbl::wrapper::gsl::check_GSL_fail	(	const int	status,
		const bool	exit,
		const std::string	CBLfunction,
		const std::string	GSLroutine
	)

Function used to check output of the wrapped GSL routines.

Parameters

status	the GSL routine status
exit	true → if the routine raise an error, exit the code; false → show the status of the GSL routine without exiting
CBLfunction	the name of the function using the GSL routine
GSLroutine	the name of the gsl routine

Definition at line 45 of file GSLwrapper.cpp.

◆ generic_function()

double cbl::wrapper::gsl::generic_function	(	const double	xx,
		void *	params
	)

function used to integrate interpolated function

Parameters

xx	the point in which function is defined
params	the parameters of the function

Returns: the value of the function at xx

Definition at line 60 of file GSLwrapper.cpp.

◆ generic_minimizer()

double cbl::wrapper::gsl::generic_minimizer	(	const gsl_vector *	xx,
		void *	params
	)

generic roots

Parameters

xx	the point in which function is defined
params	the parameters of the function

Returns: the value of the generic minimizer

Definition at line 80 of file GSLwrapper.cpp.

◆ generic_minimizer_return()

double cbl::wrapper::gsl::generic_minimizer_return	(	const gsl_vector *	xx,
		void *	params
	)

generic roots

Parameters

xx	the point in which function is defined
params	the parameters of the function

Returns: the value of the generic minimizer

Definition at line 96 of file GSLwrapper.cpp.

◆ generic_roots()

double cbl::wrapper::gsl::generic_roots	(	double	xx,
		void *	params
	)

generic roots

Parameters

xx	the point in which function is defined
params	the parameters of the function

Returns: the value of the generic root

Definition at line 70 of file GSLwrapper.cpp.

◆ GSL_derivative() [1/2]

double cbl::wrapper::gsl::GSL_derivative	(	FunctionDoubleDouble	func,
		const double	xx,
		const double	hh,
		const double	prec = `1.e-2`
	)

the derivative of a function

This function computes the numerical derivative of the function Func at the point xx using an adaptive central difference algorithm with a step size of hh.

The initial value of hh is used to estimate an optimal step-size, based on the scaling of the truncation error and round-off error in the derivative calculation. The derivative is computed using a 5-point rule for equally spaced abscissae at xx-hh, xx-hh/2, xx, xx+hh/2, xx+hh, with an error estimate taken from the difference between the 5-point rule and the corresponding 3-point rule xx-hh, xx, xx+hh. Note that the value of the function at xx does not contribute to the derivative calculation, so only 4-points are actually used. (from the GSL documentation)

It only works with function defined as std::function<double(double)> that doesn't use fixed parameters (useful for class members, when the external parameters could be attributes of the class)

Parameters

func	the function to be derived
xx	point at which the derivative is computed
hh	the initial value of the step size
prec	the relative error tolerance

Returns: the definite integral of the function

Definition at line 263 of file GSLwrapper.cpp.

◆ GSL_derivative() [2/2]

double cbl::wrapper::gsl::GSL_derivative	(	gsl_function	Func,
		const double	xx,
		const double	hh,
		const double	prec = `1.e-2`
	)

the derivative of a function

This function computes the numerical derivative of the function Func at the point xx using an adaptive central difference algorithm with a step size of hh.

The initial value of hh is used to estimate an optimal step-size, based on the scaling of the truncation error and round-off error in the derivative calculation. The derivative is computed using a 5-point rule for equally spaced abscissae at xx-hh, xx-hh/2, xx, xx+hh/2, xx+hh, with an error estimate taken from the difference between the 5-point rule and the corresponding 3-point rule xx-hh, xx, xx+hh. Note that the value of the function at xx does not contribute to the derivative calculation, so only 4-points are actually used. (from the GSL documentation)

Parameters

Func	the GSL function to be derived
xx	point at which the derivative is computed
hh	the initial value of the step size
prec	the relative error tolerance

Returns: the definite integral of the function

Definition at line 114 of file GSLwrapper.cpp.

◆ GSL_integrate_cquad() [1/3]

double cbl::wrapper::gsl::GSL_integrate_cquad	(	FunctionDoubleDouble	func,
		const double	a,
		const double	b,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	nevals = `100`
	)

integral, using the GSL cquad method

it only works with function defined as std::function<double(double)> that doesn't use fixed parameters (useful for class members, when the external parameters could be attributes of the class)

Parameters

func	the fuction to be integrated
a	the lower limit of the integral
b	the upper limit of the integral
rel_err	the relative error
abs_err	the absolute error
nevals	the number of intervals

Returns: the definite integral of the function

Definition at line 295 of file GSLwrapper.cpp.

◆ GSL_integrate_cquad() [2/3]

double cbl::wrapper::gsl::GSL_integrate_cquad	(	FunctionDoubleDoublePtrVectorRef	func,
		std::shared_ptr< void >	pp,
		std::vector< double >	par,
		const double	a,
		const double	b,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	nevals = `100`
	)

integral, using the GSL cquad method

it only works with a function defined as std::function<double(double)> that doesn't use fixed parameters (useful for class members, when the external parameters can be attributes of the class)

Parameters

func	the fuction to be integrated
pp	a void pointer
par	a vector containing the coefficients
a	the lower limit of the integral
b	the upper limit of the integral
rel_err	the relative error
abs_err	the absolute error
nevals	the number of intervals

Returns: the definite integral of the function

Definition at line 375 of file GSLwrapper.cpp.

◆ GSL_integrate_cquad() [3/3]

double cbl::wrapper::gsl::GSL_integrate_cquad	(	gsl_function	func,
		const double	a,
		const double	b,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	nevals = `100`
	)

integral, using the gsl cquad method

it only works with a function defined as std::function<double(double)> that doesn't use fixed parameters (useful for class members, when the external parameters can be attributes of the class)

Parameters

func	the fuction to be integrated
a	the lower limit of the integral
b	the upper limit of the integral
rel_err	the relative error
abs_err	the absolute error
nevals	the number of intervals

Returns: the definite integral of the function

Definition at line 159 of file GSLwrapper.cpp.

◆ GSL_integrate_qag() [1/3]

double cbl::wrapper::gsl::GSL_integrate_qag	(	FunctionDoubleDouble	func,
		const double	a,
		const double	b,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	limit_size = `1000`,
		const int	rule = `6`
	)

integral, using the GSL qag method

it only works with function defined as std::function<double(double)> that doesn't use fixed parameters (useful for class members, when the external parameters could be attributes of the class)

Parameters

func	the fuction to be integrated
a	the lower limit of the integral
b	the upper limit of the integral
rel_err	the relative error
abs_err	the absolute error
limit_size	the maximum size of workspace
rule	the rule of integration

Returns: the definite integral of the function

Definition at line 311 of file GSLwrapper.cpp.

◆ GSL_integrate_qag() [2/3]

double cbl::wrapper::gsl::GSL_integrate_qag	(	FunctionDoubleDoublePtrVectorRef	func,
		std::shared_ptr< void >	pp,
		std::vector< double >	par,
		const double	a,
		const double	b,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	limit_size = `1000`,
		const int	rule = `6`
	)

integral, using the GSL qag method

it only works with a function defined as std::function<double(double)> that doesn't use fixed parameters (useful for class members, when the external parameters can be attributes of the class)

Parameters

func	the fuction to be integrated
pp	a void pointer
par	a vector containing the coefficients
a	the lower limit of the integral
b	the upper limit of the integral
rel_err	the relative error
abs_err	the absolute error
limit_size	the maximum size of workspace
rule	the rule of integration

Returns: the definite integral of the function

Definition at line 386 of file GSLwrapper.cpp.

◆ GSL_integrate_qag() [3/3]

double cbl::wrapper::gsl::GSL_integrate_qag	(	gsl_function	Func,
		const double	a,
		const double	b,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	limit_size = `1000`,
		const int	rule = `6`
	)

integral, computed using the GSL qag method

Parameters

Func	the GSL function to be integrated
a	the lower limit of the integral
b	the upper limit of the integral
rel_err	the relative error
abs_err	the absolute error
limit_size	the maximum size of workspace
rule	the rule of integration

Returns: the definite integral of the function

Examples: integration_gsl.cpp.

Definition at line 180 of file GSLwrapper.cpp.

◆ GSL_integrate_qagiu() [1/3]

double cbl::wrapper::gsl::GSL_integrate_qagiu	(	FunctionDoubleDouble	func,
		const double	a,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	limit_size = `1000`
	)

integral, using the GSL qagiu method

it only works with a function defined as std::function<double(double)> that doesn't use fixed parameters (useful for class members, when the external parameters can be attributes of the class)

Parameters

func	the fuction to be integrated
a	the lower limit of the integral
rel_err	the relative error
abs_err	the absolute error
limit_size	the maximum size of workspace

Returns: the definite integral of the function

Definition at line 343 of file GSLwrapper.cpp.

◆ GSL_integrate_qagiu() [2/3]

double cbl::wrapper::gsl::GSL_integrate_qagiu	(	FunctionDoubleDoublePtrVectorRef	func,
		std::shared_ptr< void >	pp,
		std::vector< double >	par,
		const double	a,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	limit_size = `1000`
	)

integral, using the GSL qagiu method

it only works with a function defined as std::function<double(double)> that doesn't use fixed parameters (useful for class members, when the external parameters can be attributes of the class)

Parameters

func	the fuction to be integrated
pp	a void pointer
par	a vector containing the coefficients
a	the lower limit of the integral
rel_err	the relative error
abs_err	the absolute error
limit_size	the maximum size of workspace

Returns: the definite integral of the function

Definition at line 408 of file GSLwrapper.cpp.

◆ GSL_integrate_qagiu() [3/3]

double cbl::wrapper::gsl::GSL_integrate_qagiu	(	gsl_function	Func,
		const double	a,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	limit_size = `1000`
	)

integral, computed using the GSL qagiu method

Parameters

Func	the GSL function to be integrated
a	the lower limit of the integral
rel_err	the relative error
abs_err	the absolute error
limit_size	the maximum size of workspace

Returns: the integral of the function

Definition at line 220 of file GSLwrapper.cpp.

◆ GSL_integrate_qags() [1/3]

double cbl::wrapper::gsl::GSL_integrate_qags	(	FunctionDoubleDouble	func,
		const double	a,
		const double	b,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	limit_size = `1000`
	)

integral, using the GSL qags method

it only works with function defined as std::function<double(double)> that doesn't use fixed parameters (useful for class members, when the external parameters could be attributes of the class)

Parameters

func	the fuction to be integrated
a	the lower limit of the integral
b	the upper limit of the integral
rel_err	the relative error
abs_err	the absolute error
limit_size	the maximum size of workspace

Returns: the definite integral of the function

Definition at line 327 of file GSLwrapper.cpp.

◆ GSL_integrate_qags() [2/3]

double cbl::wrapper::gsl::GSL_integrate_qags	(	FunctionDoubleDoublePtrVectorRef	func,
		std::shared_ptr< void >	pp,
		std::vector< double >	par,
		const double	a,
		const double	b,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	limit_size = `1000`
	)

integral, using the GSL qags method

it only works with a function defined as std::function<double(double)> that doesn't use fixed parameters (useful for class members, when the external parameters can be attributes of the class)

Parameters

func	the fuction to be integrated
pp	a void pointer
par	a vector containing the coefficients
a	the lower limit of the integral
b	the upper limit of the integral
rel_err	the relative error
abs_err	the absolute error
limit_size	the maximum size of workspace

Returns: the definite integral of the function

Definition at line 397 of file GSLwrapper.cpp.

◆ GSL_integrate_qags() [3/3]

double cbl::wrapper::gsl::GSL_integrate_qags	(	gsl_function	Func,
		const double	a,
		const double	b,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	limit_size = `1000`
	)

integral, computed using the GSL qags method

Parameters

Func	the GSL function to be integrated
a	the lower limit of the integral
b	the upper limit of the integral
rel_err	the relative error
abs_err	the absolute error
limit_size	the maximum size of workspace

Returns: the definite integral of the function

Definition at line 200 of file GSLwrapper.cpp.

◆ GSL_integrate_qaws() [1/3]

double cbl::wrapper::gsl::GSL_integrate_qaws	(	FunctionDoubleDouble	func,
		const double	a,
		const double	b,
		const double	alpha = `0`,
		const double	beta = `0`,
		const int	mu = `1`,
		const int	nu = `0`,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	limit_size = `1000`
	)

integral, using the GSL qaws method

Parameters

func	the function to be integrated
a	the lower limit of the integral
b	the upper limit of the integral
alpha	α
beta	β
mu	μ
nu	ν
rel_err	the relative error
abs_err	the absolute error
limit_size	the maximum size of workspace

Returns: the definite integral of the function

Definition at line 359 of file GSLwrapper.cpp.

◆ GSL_integrate_qaws() [2/3]

double cbl::wrapper::gsl::GSL_integrate_qaws	(	FunctionDoubleDoublePtrVectorRef	func,
		std::shared_ptr< void >	pp,
		std::vector< double >	par,
		const double	a,
		const double	b,
		const double	alpha = `0`,
		const double	beta = `0`,
		const int	mu = `1`,
		const int	nu = `0`,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	limit_size = `1000`
	)

integral, using the GSL qag method

Parameters

func	the function to be integrated
pp	a void pointer
par	a vector containing the coefficients
a	the lower limit of the integral
b	the upper limit of the integral
alpha	α
beta	β
mu	μ
nu	ν
rel_err	the relative error
abs_err	the absolute error
limit_size	the maximum size of workspace

Returns: the definite integral of the function

Definition at line 419 of file GSLwrapper.cpp.

◆ GSL_integrate_qaws() [3/3]

double cbl::wrapper::gsl::GSL_integrate_qaws	(	gsl_function	Func,
		const double	a,
		const double	b,
		const double	alpha = `0`,
		const double	beta = `0`,
		const int	mu = `1`,
		const int	nu = `0`,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`,
		const int	limit_size = `1000`
	)

integral, computed using the GSL qaws method

Parameters

Func	the GSL function to be integrated
a	the lower limit of the integral
b	the upper limit of the integral
alpha	α
beta	β
mu	μ
nu	ν
rel_err	the relative error
abs_err	the absolute error
limit_size	the maximum size of workspace

Returns: the definite integral of the function

Definition at line 240 of file GSLwrapper.cpp.

◆ GSL_integrate_romberg() [1/2]

double cbl::wrapper::gsl::GSL_integrate_romberg	(	FunctionDoubleDouble	Func,
		const double	a,
		const double	b,
		const int	npoints,
		const double	eps_rel = `1.e-4`,
		const double	eps_abs = `1.e-12`
	)

integral, using the gsl romberg method

it only works with a function defined as std::function<double(double)> that doesn't use fixed parameters (useful for class members, when the external parameters can be attributes of the class)

The number of function evaluation is \( 2^n+1 \), n being the input parameter npoints

Parameters

Func	the fuction to be integrated
a	the lower limit of the integral
b	the upper limit of the integral
npoints	the number of points
eps_rel	the relative error
eps_abs	the absolute error

Returns: the definite integral of the function

Definition at line 279 of file GSLwrapper.cpp.

◆ GSL_integrate_romberg() [2/2]

double cbl::wrapper::gsl::GSL_integrate_romberg	(	gsl_function	Func,
		const double	a,
		const double	b,
		const int	npoints,
		const double	eps_rel = `1.e-4`,
		const double	eps_abs = `1.e-12`
	)

integral, using the gsl romberg method

it only works with a function defined as std::function<double(double)> that doesn't use fixed parameters (useful for class members, when the external parameters can be attributes of the class)

The number of function evaluation is \( 2^n+1 \), n being the input parameter npoints

Parameters

Func	the fuction to be integrated
a	the lower limit of the integral
b	the upper limit of the integral
npoints	the number of points
eps_rel	the relative error
eps_abs	the absolute error

Returns: the definite integral of the function

Definition at line 130 of file GSLwrapper.cpp.

◆ GSL_minimize_1D()

double cbl::wrapper::gsl::GSL_minimize_1D	(	FunctionDoubleDouble	func,
		const double	start,
		double	min = `par::defaultDouble`,
		double	max = `-par::defaultDouble`,
		const int	max_iter = `1000`,
		const bool	verbose = `false`
	)

minimize the provided function using GSL procedure

Parameters

func	the function to minimize
start	the starting point
min	the minimum of the search interval
max	the maximum of the search interval
max_iter	maximum number of iteration
verbose	show output

Returns: the point that minimize the function

Examples: minimisation_gsl.cpp.

Definition at line 658 of file GSLwrapper.cpp.

◆ GSL_minimize_nD() [1/2]

vector< double > cbl::wrapper::gsl::GSL_minimize_nD	(	FunctionDoubleVector	func,
		const std::vector< double >	start,
		const std::vector< std::vector< double >>	ranges,
		const unsigned int	max_iter = `1000`,
		const double	tol = `1.e-6`,
		const double	epsilon = `0.1`
	)

minimize the provided function using GSL procedure

Parameters

func	the function to minimize
start	the starting point
ranges	limits for the parameters
max_iter	maximum number of iteration
tol	tolerance of the minimization
epsilon	the simplex side

Returns: vector containing the point that minimize the function

Examples: minimisation_gsl.cpp.

Definition at line 497 of file GSLwrapper.cpp.

◆ GSL_minimize_nD() [2/2]

vector< double > cbl::wrapper::gsl::GSL_minimize_nD	(	FunctionDoubleVectorRef	func,
		const std::vector< double >	start,
		const std::vector< std::vector< double >>	ranges,
		const unsigned int	max_iter = `1000`,
		const double	tol = `1.e-6`,
		const double	epsilon = `0.1`
	)

minimize the provided function using GSL procedure

Parameters

func	the function to minimize
start	the starting point
ranges	limits for the parameters
max_iter	maximum number of iteration
tol	tolerance of the minimization
epsilon	the simplex side

Returns: vector containing the point that minimize the function

Definition at line 575 of file GSLwrapper.cpp.

◆ GSL_polynomial_eval()

double cbl::wrapper::gsl::GSL_polynomial_eval	(	const double	x,
		const std::shared_ptr< void >	fixed_parameters,
		const std::vector< double >	coeff
	)

evaluate a polynomial

Parameters

x	the independent variable
fixed_parameters	fixed parameters of the polynomial
coeff	polynomial coefficients

Returns: the value of the polynomial at x

Definition at line 715 of file GSLwrapper.cpp.

◆ GSL_polynomial_root()

void cbl::wrapper::gsl::GSL_polynomial_root	(	const std::vector< double >	coeff,
		std::vector< std::vector< double >> &	root
	)

find polynomial roots

Parameters

coeff	polynomial coefficients
root	polynomial roots

Definition at line 725 of file GSLwrapper.cpp.

◆ GSL_root_brent() [1/2]

double cbl::wrapper::gsl::GSL_root_brent	(	FunctionDoubleDouble	func,
		double	xx0,
		const double	low_guess,
		const double	up_guess,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`
	)

function to find roots using GSL brent method

Parameters

func	the function to be integrated
xx0	the value of the zero
low_guess	the lower limit
up_guess	the upper limit
rel_err	the relative error
abs_err	the absolute error

Returns: the function root

Definition at line 478 of file GSLwrapper.cpp.

◆ GSL_root_brent() [2/2]

double cbl::wrapper::gsl::GSL_root_brent	(	gsl_function	Func,
		const double	low_guess,
		const double	up_guess,
		const double	rel_err = `1.e-3`,
		const double	abs_err = `0`
	)

function to find roots using GSL qag method

Parameters

Func	the GSL function to be integrated
low_guess	the lower limit
up_guess	the upper limit
rel_err	the relative error
abs_err	the absolute error

Returns: the function root

Definition at line 430 of file GSLwrapper.cpp.

Functions

Detailed Description

Function Documentation

◆ check_GSL_fail()

◆ generic_function()

◆ generic_minimizer()

◆ generic_minimizer_return()

◆ generic_roots()

◆ GSL_derivative() [1/2]

◆ GSL_derivative() [2/2]

◆ GSL_integrate_cquad() [1/3]

◆ GSL_integrate_cquad() [2/3]

◆ GSL_integrate_cquad() [3/3]

◆ GSL_integrate_qag() [1/3]

◆ GSL_integrate_qag() [2/3]

◆ GSL_integrate_qag() [3/3]

◆ GSL_integrate_qagiu() [1/3]

◆ GSL_integrate_qagiu() [2/3]

◆ GSL_integrate_qagiu() [3/3]

◆ GSL_integrate_qags() [1/3]

◆ GSL_integrate_qags() [2/3]

◆ GSL_integrate_qags() [3/3]

◆ GSL_integrate_qaws() [1/3]

◆ GSL_integrate_qaws() [2/3]

◆ GSL_integrate_qaws() [3/3]

◆ GSL_integrate_romberg() [1/2]

◆ GSL_integrate_romberg() [2/2]

◆ GSL_minimize_1D()

◆ GSL_minimize_nD() [1/2]

◆ GSL_minimize_nD() [2/2]

◆ GSL_polynomial_eval()

◆ GSL_polynomial_root()

◆ GSL_root_brent() [1/2]

◆ GSL_root_brent() [2/2]