JMATH::JGauss< ID_t, true > Struct Template Reference

Gauss function. More...

#include <JMathlib.hh>

Inheritance diagram for JMATH::JGauss< ID_t, true >:

Public Member Functions
	JGauss ()
	Default constructor.
	JGauss (const double center, const double sigma)
	Constructor.
double	getValue (const double x) const
	Function value.
double	getDerivative (const double x) const
	Derivative value.
JGauss	getGradient (const double x) const
	Get gradient.
double	operator() (const Args &...args) const
	Function value.
double	operator[] (const size_t i) const
	Get value of parameter at given index.
double &	operator[] (const size_t i)
	Get value of parameter at given index.
JGauss< ID_t, true > &	negate ()
	Negate function.
JGauss< ID_t, true > &	add (const JGauss< ID_t, true > &f1)
	Add function.
JGauss< ID_t, true > &	sub (const JGauss< ID_t, true > &f1)
	Subtract function.
JGauss< ID_t, true > &	mul (const double factor)
	Scale function.
JGauss< ID_t, true > &	div (const double factor)
	Scale function.

Public Attributes
double	center
	center
double	sigma
	sigma

Static Public Attributes
static const int	ID = ID_t
static constexpr parameter_list< JGauss, 2 >	parameters { &JGauss::center, &JGauss::sigma }

Private Member Functions
double	get (const double u) const
	Get ordinate value.

Detailed Description

template<int ID_t>
struct JMATH::JGauss< ID_t, true >

Gauss function.

Definition at line 2039 of file JMathlib.hh.

Constructor & Destructor Documentation

JGauss() [1/2]

template<int ID_t>

JMATH::JGauss< ID_t, true >::JGauss ( )

inline

Default constructor.

Definition at line 2049 of file JMathlib.hh.

             :
      center(0.0),
      sigma (0.0)
    {}

JGauss() [2/2]

template<int ID_t>

JMATH::JGauss< ID_t, true >::JGauss ( const double center, const double sigma )

inline

Constructor.

Parameters

center	center
sigma	sigma

Definition at line 2061 of file JMathlib.hh.

                               :
      center(center),
      sigma (sigma)
    {}

Member Function Documentation

getValue()

template<int ID_t>

double JMATH::JGauss< ID_t, true >::getValue ( const double x ) const

inline

Function value.

Parameters

x	abscissa value

Returns

function value

Definition at line 2074 of file JMathlib.hh.

    {
      const double u  = (x - center) / sigma;
 
      return get(u);
    }

getDerivative()

template<int ID_t>

double JMATH::JGauss< ID_t, true >::getDerivative ( const double x ) const

inline

Derivative value.

Parameters

x	abscissa value

Returns

derivative value

Definition at line 2088 of file JMathlib.hh.

    {
      const double w  = 1.0 / sigma;
      const double u  = (x - center) / sigma;
 
      return get(u) * -u * w;
    }

getGradient()

template<int ID_t>

JGauss JMATH::JGauss< ID_t, true >::getGradient ( const double x ) const

inline

Get gradient.

Parameters

x	abscissa value

Returns

gradient

Definition at line 2103 of file JMathlib.hh.

    {
      JGauss gradient;
 
      const double w  = 1.0 / sigma;
      const double u  = (x - center) * w;
      const double f0 =  get(u);
 
      gradient.center =  f0 * (u)                   * w;      // d(f)/d(center)
      gradient.sigma  =  f0 * (u + 1.0) * (u - 1.0) * w;      // d(f)/d(sigma)
 
      return gradient;
    }

get()

template<int ID_t>

double JMATH::JGauss< ID_t, true >::get ( const double u ) const

inlineprivate

Get ordinate value.

Parameters

u	abscissa value

Returns

ordinate value

Definition at line 2129 of file JMathlib.hh.

    {
      static const double W = 1.0 / sqrt(2.0 * acos(-1.0));
 
      return exp(-0.5*u*u) * W / sigma;
    }

operator()()

double JMATH::JMathlib< JGauss< ID_t, true > >::operator() ( const Args &... args ) const

inlineinherited

Function value.

Parameters

args	abscissa value(s)

Returns

function value

Definition at line 331 of file JMathlib.hh.

    {
      return static_cast<const JF1_t&>(*this).getValue(args...);
    }

operator[]() [1/2]

double JMATH::JMathlib< JGauss< ID_t, true > >::operator[] ( const size_t i ) const

inlineinherited

Get value of parameter at given index.

Parameters

i

index

Returns

value

Definition at line 539 of file JMathlib.hh.

    {
      return static_cast<const JF1_t&>(*this).*JF1_t::parameters[i];
    }

operator[]() [2/2]

double & JMATH::JMathlib< JGauss< ID_t, true > >::operator[] ( const size_t i )

inlineinherited

Get value of parameter at given index.

Parameters

i

index

Returns

value

Definition at line 551 of file JMathlib.hh.

    {
      return static_cast<JF1_t&>(*this).*JF1_t::parameters[i];
    }

negate()

JGauss< ID_t, true > & JMATH::JCalculus< JGauss< ID_t, true > >::negate ( )

inlineinherited

Negate function.

Returns

this function

Definition at line 169 of file JMathlib.hh.

    {
      for (const auto& i : JF1_t::parameters) {
        static_cast<JF1_t&>(*this).*i = -(static_cast<JF1_t&>(*this).*i);
      }
 
      return static_cast<JF1_t&>(*this);
    }

add()

JGauss< ID_t, true > & JMATH::JCalculus< JGauss< ID_t, true > >::add ( const JGauss< ID_t, true > & f1 )

inlineinherited

Add function.

Parameters

f1

function

Returns

this function

Definition at line 185 of file JMathlib.hh.

    {
      for (const auto& i : JF1_t::parameters) {
        static_cast<JF1_t&>(*this).*i += f1.*i;
      }
 
      return static_cast<JF1_t&>(*this);
    }

sub()

JGauss< ID_t, true > & JMATH::JCalculus< JGauss< ID_t, true > >::sub ( const JGauss< ID_t, true > & f1 )

inlineinherited

Subtract function.

Parameters

f1

function

Returns

this function

Definition at line 201 of file JMathlib.hh.

    {
      for (const auto& i : JF1_t::parameters) {
        static_cast<JF1_t&>(*this).*i -= f1.*i;
      }
 
      return static_cast<JF1_t&>(*this);
    }

mul()

JGauss< ID_t, true > & JMATH::JCalculus< JGauss< ID_t, true > >::mul ( const double factor )

inlineinherited

Scale function.

Parameters

factor

factor

Returns

this function

Definition at line 217 of file JMathlib.hh.

    {
      for (const auto& i : JF1_t::parameters) {
        static_cast<JF1_t&>(*this).*i *= factor;
      }
 
      return static_cast<JF1_t&>(*this);
    }

div()

JGauss< ID_t, true > & JMATH::JCalculus< JGauss< ID_t, true > >::div ( const double factor )

inlineinherited

Scale function.

Parameters

factor

factor

Returns

this function

Definition at line 233 of file JMathlib.hh.

    {
      for (const auto& i : JF1_t::parameters) {
        static_cast<JF1_t&>(*this).*i /= factor;
      }
 
      return static_cast<JF1_t&>(*this);
    }

Member Data Documentation

ID

template<int ID_t>

const int JMATH::JGauss< ID_t, true >::ID = ID_t

static

Definition at line 2043 of file JMathlib.hh.

center

template<int ID_t>

double JMATH::JGauss< ID_t, true >::center

center

Definition at line 2117 of file JMathlib.hh.

sigma

template<int ID_t>

double JMATH::JGauss< ID_t, true >::sigma

sigma

Definition at line 2118 of file JMathlib.hh.

parameters

template<int ID_t>

parameter_list<JGauss, 2> JMATH::JGauss< ID_t, true >::parameters { &JGauss::center, &JGauss::sigma }

staticconstexpr

Definition at line 2120 of file JMathlib.hh.

{ &JGauss::center, &JGauss::sigma };

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The documentation for this struct was generated from the following file:

• JMathlib.hh