pstatic_computation.h File Reference

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Classes
struct	PPower< V, N >
	Compute the power of an unsigned int statically. More...
struct	PPower< V, 0 >
	Compute the power of an unsigned int statically. More...
struct	PPower< V, 1 >
	Compute the power of an unsigned int statically. More...
struct	pstatic_fact< N >
	Compute the factorial of an unsigned int statically. More...
struct	pstatic_fact< 0 >
	Compute the factorial of an unsigned int statically. More...

Functions
template<int I>
double	pstatic_atanhd (double x)
	Compute hyperbolic arctangente for double.
template<>
double	pstatic_atanhd< 0 > (double x)
	Compute hyperbolic arctangente for double.
template<>
double	pstatic_atanhd< 1 > (double x)
	Compute hyperbolic arctangente for double.
template<int I>
float	pstatic_atanhf (float x)
	Compute hyperbolic arctangente for float.
template<>
float	pstatic_atanhf< 0 > (float x)
	Compute hyperbolic arctangente for float.
template<>
float	pstatic_atanhf< 1 > (float x)
	Compute hyperbolic arctangente for float.
template<int N>
double	pstatic_cosd (double x)
	Compute cosine for double.
template<>
double	pstatic_cosd< 0 > (double x)
	Compute cosine for double.
template<int N>
float	pstatic_cosf (float x)
	Compute cosine for float.
template<>
float	pstatic_cosf< 0 > (float x)
	Compute cosine for float.
template<int N>
double	pstatic_expd (double x)
	Compute exponentiel for double.
template<int I>
double	pstatic_expd_part (double x)
	Compute exponentiel for double.
template<>
double	pstatic_expd_part< 0 > (double x)
	Compute exponentiel for double.
template<int N>
float	pstatic_expf (float x)
	Compute exponentiel for float.
template<int I>
float	pstatic_expf_part (float x)
	Compute exponentiel for float.
template<>
float	pstatic_expf_part< 0 > (float x)
	Compute exponentiel for float.
template<unsigned int I>
double	pstatic_factd ()
	Compute factorial for double.
template<>
double	pstatic_factd< 0 > ()
	Compute factorial for double.
template<unsigned int I>
float	pstatic_factf ()
	Compute factorial for float.
template<>
float	pstatic_factf< 0 > ()
	Compute factorial for float.
template<int N>
double	pstatic_powd (double x)
	Compute power for double.
template<>
double	pstatic_powd< 0 > (double x)
	Compute power for double.
template<int N>
float	pstatic_powf (float x)
	Compute power for float.
template<>
float	pstatic_powf< 0 > (float x)
	Compute power for float.

Function Documentation

pstatic_atanhd()

template<int I>

double pstatic_atanhd ( double x )

inline

Compute hyperbolic arctangente for double.

Returns

hyperbolic arctangente for double I is the order of the developpement

Definition at line 169 of file pstatic_computation.h.

                                                       {
        return pstatic_atanhd<I - 1>(x) + pstatic_powd<2 * I + 1>(x) / (2 * I + 1);
}

References pstatic_atanhd(), and pstatic_powd().

Referenced by pstatic_atanhd().

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pstatic_atanhd< 0 >()

template<>

double pstatic_atanhd< 0 > ( double x )

inline

Compute hyperbolic arctangente for double.

Returns

hyperbolic arctangente for double

Definition at line 183 of file pstatic_computation.h.

                                                     {
        return 0.0;
}

pstatic_atanhd< 1 >()

template<>

double pstatic_atanhd< 1 > ( double x )

inline

Compute hyperbolic arctangente for double.

Returns

hyperbolic arctangente for double

Definition at line 176 of file pstatic_computation.h.

                                                     {
        return x;
}

pstatic_atanhf()

template<int I>

float pstatic_atanhf ( float x )

inline

Compute hyperbolic arctangente for float.

Returns

hyperbolic arctangente for float I is the order of the developpement

Definition at line 191 of file pstatic_computation.h.

                                                     {
        return pstatic_atanhf<I - 1>(x) + pstatic_powf<2 * I + 1>(x) / (2 * I + 1);
}

References pstatic_atanhf(), and pstatic_powf().

Referenced by pstatic_atanhf().

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pstatic_atanhf< 0 >()

template<>

float pstatic_atanhf< 0 > ( float x )

inline

Compute hyperbolic arctangente for float.

Returns

hyperbolic arctangente for float

Definition at line 205 of file pstatic_computation.h.

                                                   {
        return 0.0f;
}

pstatic_atanhf< 1 >()

template<>

float pstatic_atanhf< 1 > ( float x )

inline

Compute hyperbolic arctangente for float.

Returns

hyperbolic arctangente for float

Definition at line 198 of file pstatic_computation.h.

                                                   {
        return x;
}

pstatic_cosd()

template<int N>

double pstatic_cosd ( double x )

inline

Compute cosine for double.

Returns

cosine for double N is the order of the developpement

Definition at line 137 of file pstatic_computation.h.

                                                     {
        return pstatic_cosd<N - 1>(x) + (N % 2 ? -1 : 1) * pstatic_powd<2 * N>(x) / pstatic_factd<2 * N>();
}

References pstatic_cosd(), pstatic_factd(), and pstatic_powd().

Referenced by pstatic_cosd().

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pstatic_cosd< 0 >()

template<>

double pstatic_cosd< 0 > ( double x )

inline

Compute cosine for double.

Returns

cosine for double N is the order of the developpement

Definition at line 145 of file pstatic_computation.h.

                                                   {
        return 1.0;
}

pstatic_cosf()

template<int N>

float pstatic_cosf ( float x )

inline

Compute cosine for float.

Returns

cosine for float N is the order of the developpement

Definition at line 153 of file pstatic_computation.h.

                                                   {
        return pstatic_cosf<N - 1>(x) + (N % 2 ? -1 : 1) * pstatic_powf<2 * N>(x) / pstatic_factf<2 * N>();
}

References pstatic_cosf(), pstatic_factf(), and pstatic_powf().

Referenced by pstatic_cosf().

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pstatic_cosf< 0 >()

template<>

float pstatic_cosf< 0 > ( float x )

inline

Compute cosine for float.

Returns

cosine for float N is the order of the developpement

Definition at line 161 of file pstatic_computation.h.

                                                 {
        return 1.0f;
}

pstatic_expd()

template<int N>

double pstatic_expd ( double x )

inline

Compute exponentiel for double.

Returns

exponentiel for double N is the order of the developpement

Definition at line 108 of file pstatic_computation.h.

                                                     {
        return x < 0.0 ? 1.0 / pstatic_expd_part<N>(-x) : pstatic_expd_part<N>(x);
}

References pstatic_expd_part().

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pstatic_expd_part()

template<int I>

double pstatic_expd_part ( double x )

inline

Compute exponentiel for double.

Returns

exponentiel for double I is the order of the developpement

Definition at line 94 of file pstatic_computation.h.

                                                          {
        return pstatic_expd_part<I - 1>(x) + pstatic_powd<I>(x) / pstatic_factd<I>();
}

References pstatic_expd_part(), pstatic_factd(), and pstatic_powd().

Referenced by pstatic_expd(), and pstatic_expd_part().

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pstatic_expd_part< 0 >()

template<>

double pstatic_expd_part< 0 > ( double x )

inline

Compute exponentiel for double.

Returns

exponentiel for double I is the order of the developpement

Definition at line 101 of file pstatic_computation.h.

                                                        {
        return 0.0;
}

pstatic_expf()

template<int N>

float pstatic_expf ( float x )

inline

Compute exponentiel for float.

Returns

exponentiel for float N is the order of the developpement

Definition at line 129 of file pstatic_computation.h.

                                                   {
        return x < 0.0 ? 1.0 / pstatic_expf_part<N>(-x) : pstatic_expf_part<N>(x);
}

References pstatic_expf_part().

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pstatic_expf_part()

template<int I>

float pstatic_expf_part ( float x )

inline

Compute exponentiel for float.

Returns

exponentiel for float I is the order of the developpement

Definition at line 116 of file pstatic_computation.h.

                                                        {
        return pstatic_expf_part<I - 1>(x) + pstatic_powf<I>(x) / pstatic_factf<I>();
}

References pstatic_expf_part(), pstatic_factf(), and pstatic_powf().

Referenced by pstatic_expf(), and pstatic_expf_part().

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pstatic_expf_part< 0 >()

template<>

float pstatic_expf_part< 0 > ( float x )

inline

Compute exponentiel for float.

Returns

exponentiel for float

Definition at line 122 of file pstatic_computation.h.

                                                      {
        return 0.0;
}

pstatic_factd()

template<unsigned int I>

double pstatic_factd ( )

inline

Compute factorial for double.

Returns

factorial for double

Definition at line 41 of file pstatic_computation.h.

                                                       {
        return I * pstatic_factd<I - 1>();
}

References pstatic_factd().

Referenced by pstatic_cosd(), pstatic_expd_part(), and pstatic_factd().

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pstatic_factd< 0 >()

template<>

double pstatic_factd< 0 > ( )

inline

Compute factorial for double.

Returns

factorial for double

Definition at line 47 of file pstatic_computation.h.

                                            {
        return 1.0;
}

pstatic_factf()

template<unsigned int I>

float pstatic_factf ( )

inline

Compute factorial for float.

Returns

factorial for float

Definition at line 54 of file pstatic_computation.h.

                                                      {
        return I * pstatic_factf<I - 1>();
}

References pstatic_factf().

Referenced by pstatic_cosf(), pstatic_expf_part(), and pstatic_factf().

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pstatic_factf< 0 >()

template<>

float pstatic_factf< 0 > ( )

inline

Compute factorial for float.

Returns

factorial for float

Definition at line 60 of file pstatic_computation.h.

                                           {
        return 1.0f;
}

pstatic_powd()

template<int N>

double pstatic_powd ( double x )

inline

Compute power for double.

Returns

power for double

Definition at line 67 of file pstatic_computation.h.

                                                     {
        return x * pstatic_powd<N - 1>(x);
}

References pstatic_powd().

Referenced by pstatic_atanhd(), pstatic_cosd(), pstatic_expd_part(), and pstatic_powd().

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pstatic_powd< 0 >()

template<>

double pstatic_powd< 0 > ( double x )

inline

Compute power for double.

Returns

power for double

Definition at line 73 of file pstatic_computation.h.

                                                   {
        return 1.0;
}

pstatic_powf()

template<int N>

float pstatic_powf ( float x )

inline

Compute power for float.

Returns

power for float

Definition at line 80 of file pstatic_computation.h.

                                                   {
        return x * pstatic_powf<N - 1>(x);
}

References pstatic_powf().

Referenced by pstatic_atanhf(), pstatic_cosf(), pstatic_expf_part(), and pstatic_powf().

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pstatic_powf< 0 >()

template<>

float pstatic_powf< 0 > ( float x )

inline

Compute power for float.

Returns

power for float

Definition at line 86 of file pstatic_computation.h.

                                                 {
        return 1.0f;
}