Mathematical functions

Defines
#define	NAN   (sqrt(-1))
#define	M_PI   3.141592653589793238
#define	M_E   2.71828182845905
#define	LOG2   0.69314718055994529
#define	INVLOG2   1.44269504088896339
#define	log2(x)   (INVLOG2 * log(x))
#define	IT_EPSILON   (1e-10)
Functions
double	erfinv (double x)
int	nchoosek (int n, int k)
double	lognchoosek (int n, int k)
double	log_sum (double log_a, double log_b)
double	log_gamma (double x)
double	sigmoid (double x, double lambda)
double	invsigmoid (double x, double lambda)
	it_function_args (itf_gaussian)
	it_function_args (itf_laplacian)
	it_function_args (itf_generalized_gaussian)
	it_function_args (itf_differentiate)
	it_function_args (itf_diff2)
	it_function_args (itf_integrate_trapezoid)
	it_function_args (itf_integrate_romberg)
	it_function_args (itf_integrate)
	it_function_args (itf_expectation)
	it_function_args (itf_compose)
	it_function_args (itf_sum)
	it_function_args (itf_mul)
double	it_integrate (it_function_t function, it_args_t args, double a, double b)
double	it_differentiate (it_function_t function, it_args_t args, double a)
Variables
it_function_t	itf_identity
it_function_t	itf_gaussian
it_function_t	itf_laplacian
it_function_t	itf_generalized_gaussian
it_function_t	itf_differentiate
it_function_t	itf_diff2
it_function_t	itf_integrate_trapezoid
it_function_t	itf_integrate_romberg
it_function_t	itf_integrate
it_function_t	itf_expectation
it_function_t	itf_compose
it_function_t	itf_sum
it_function_t	itf_mul

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Detailed Description

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Define Documentation

#define INVLOG2   1.44269504088896339

Definition at line 51 of file math.h.

#define IT_EPSILON   (1e-10)

Definition at line 55 of file math.h.

Referenced by cmat_inv(), entropy_markov(), lloyd_max(), mat_lu(), source_estim_GG_from_histo(), and source_memoryless().

#define log2

(

x

)

(INVLOG2 * log(x))

Definition at line 52 of file math.h.

Referenced by entropy_bin(), and vlc_nodes_entropy().

#define LOG2   0.69314718055994529

Definition at line 50 of file math.h.

#define M_E   2.71828182845905

Definition at line 46 of file math.h.

Referenced by main().

#define M_PI   3.141592653589793238

Definition at line 42 of file math.h.

Referenced by _fft(), _ifft(), cang(), cvec_new_unit_roots(), erfinv(), it_fdft(), it_function(), and main().

#define NAN   (sqrt(-1))

Definition at line 38 of file math.h.

Referenced by erfinv().

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Function Documentation

double erfinv

(

double

x

)

Definition at line 339 of file math.c.

References erfinv_a0, erfinv_a1, erfinv_a2, erfinv_a3, erfinv_b0, erfinv_b1, erfinv_b2, erfinv_b3, erfinv_b4, erfinv_c0, erfinv_c1, erfinv_c2, erfinv_c3, erfinv_d0, erfinv_d1, erfinv_d2, M_PI, and NAN.

Referenced by main().

double invsigmoid	(	double	x,
		double	lambda
	)

Definition at line 498 of file math.c.

double it_differentiate	(	it_function_t	function,
		it_args_t	args,
		double	a
	)

Definition at line 456 of file math.c.

References it_function_args, and itf_differentiate.

Referenced by main().

it_function_args

(

itf_mul

)

Definition at line 186 of file math.h.

it_function_args

(

itf_sum

)

Definition at line 177 of file math.h.

it_function_args

(

itf_compose

)

Definition at line 168 of file math.h.

it_function_args

(

itf_expectation

)

Definition at line 157 of file math.h.

it_function_args

(

itf_integrate

)

Definition at line 149 of file math.h.

it_function_args

(

itf_integrate_romberg

)

Definition at line 135 of file math.h.

References N.

it_function_args

(

itf_integrate_trapezoid

)

Definition at line 125 of file math.h.

References N.

it_function_args

(

itf_diff2

)

Definition at line 113 of file math.h.

it_function_args

(

itf_differentiate

)

Definition at line 106 of file math.h.

it_function_args

(

itf_generalized_gaussian

)

Definition at line 95 of file math.h.

it_function_args

(

itf_laplacian

)

Definition at line 88 of file math.h.

it_function_args

(

itf_gaussian

)

Definition at line 82 of file math.h.

double it_integrate	(	it_function_t	function,
		it_args_t	args,
		double	a,
		double	b
	)

Definition at line 445 of file math.c.

References it_function_args, and itf_integrate.

Referenced by main().

double log_gamma

(

double

x

)

Definition at line 478 of file math.c.

double log_sum	(	double	log_a,
		double	log_b
	)

Definition at line 468 of file math.c.

double lognchoosek	(	int	n,
		int	k
	)

Definition at line 425 of file math.c.

int nchoosek	(	int	n,
		int	k
	)

Definition at line 412 of file math.c.

References nchoosek_tmp().

double sigmoid	(	double	x,
		double	lambda
	)

Definition at line 492 of file math.c.

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Variable Documentation

it_function_t itf_compose

Referenced by main().

it_function_t itf_diff2

Referenced by main().

it_function_t itf_differentiate

Referenced by it_differentiate(), and main().

it_function_t itf_expectation

Referenced by lloyd_max().

it_function_t itf_gaussian

it_function_t itf_generalized_gaussian

it_function_t itf_identity

Referenced by it_function(), and main().

it_function_t itf_integrate

Referenced by it_function(), it_integrate(), and lloyd_max().

it_function_t itf_integrate_romberg

Referenced by it_function(), and main().

it_function_t itf_integrate_trapezoid

Referenced by main().

it_function_t itf_laplacian

it_function_t itf_mul

Referenced by it_function(), and main().

it_function_t itf_sum

Referenced by main().