math.h File Reference

Some miscellaneous mathematical functions and constants. More...

#include <arb.h>

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Macros
#define	MIN(a, b)   (((a)<(b))?(a):(b))
	Calculates the minimum value of two variables. More...
#define	MAX(a, b)   (((a)>(b))?(a):(b))
	Calculates the maximum value of two variables. More...
#define	MIRP_DBL_TRUE_MIN   4.9406564584124654e-324
	Smallest subnormal double-precision value. More...
#define	NEG1_POW(n)   (((n)%2)?(-1):(1))
	Calculates (-1) to a given power. More...
#define	MIRP_PI   3.14159265358979324
	The value of the constant pi in double precision. More...
#define	MIRP_SQRT_PI   1.7724538509055160273
	The value of the sqrt(pi) in double precision. More...
#define	MIRP_PI_32   5.5683279968317078453
	The value of the pi**(3/2) in double precision. More...
#define	MIRP_LOG_10_2   0.3010299956639812
	log_10(2) More...

Functions
slong	mirp_min_accuracy_bits (arb_srcptr v, size_t n)
	Finds the least number of accuracy bits in a vector. More...
void	mirp_pow_si (arb_t output, const arb_t b, long e, slong prec)
	Calculates b^e with e being a signed integer. More...
void	mirp_factorial (arb_t output, long n)
	Calculates a factorial using interval arithmetic. More...
void	mirp_factorial2 (arb_t output, long n)
	Calculates a double factorial using interval arithmetic. More...
void	mirp_binomial (arb_t output, long n, long k)
	Calculates a binomial coefficient using interval arithmetic. More...

Detailed Description

Some miscellaneous mathematical functions and constants.

Macro Definition Documentation

MAX

#define MAX	(		a,
			b
	)		(((a)>(b))?(a):(b))

Calculates the maximum value of two variables.

MIN

#define MIN	(		a,
			b
	)		(((a)<(b))?(a):(b))

Calculates the minimum value of two variables.

MIRP_DBL_TRUE_MIN

#define MIRP_DBL_TRUE_MIN   4.9406564584124654e-324

Smallest subnormal double-precision value.

MIRP_LOG_10_2

#define MIRP_LOG_10_2   0.3010299956639812

log_10(2)

For conversion between binary precision and decimal precision (number of decimal digits)

ndigits = log10(2) * precision (in bits)

MIRP_PI

#define MIRP_PI   3.14159265358979324

The value of the constant pi in double precision.

MIRP_PI_32

#define MIRP_PI_32   5.5683279968317078453

The value of the pi**(3/2) in double precision.

MIRP_SQRT_PI

#define MIRP_SQRT_PI   1.7724538509055160273

The value of the sqrt(pi) in double precision.

NEG1_POW

#define NEG1_POW

(

n

)

(((n)%2)?(-1):(1))

Calculates (-1) to a given power.

This replaces pow(-1, n)

Function Documentation

mirp_binomial()

void mirp_binomial	(	arb_t	output,
		long	n,
		long	k
	)

Calculates a binomial coefficient using interval arithmetic.

mirp_factorial()

void mirp_factorial	(	arb_t	output,
		long	n
	)

Calculates a factorial using interval arithmetic.

mirp_factorial2()

void mirp_factorial2	(	arb_t	output,
		long	n
	)

Calculates a double factorial using interval arithmetic.

mirp_min_accuracy_bits()

slong mirp_min_accuracy_bits	(	arb_srcptr	v,
		size_t	n
	)

Finds the least number of accuracy bits in a vector.

Parameters

[in]	v	The vector to search the minimum accuracy of
[in]	n	The length of the vector

Returns

The minimum accuracy found of all elements of the vector

mirp_pow_si()

void mirp_pow_si	(	arb_t	output,
		const arb_t	b,
		long	e,
		slong	prec
	)

Calculates b^e with e being a signed integer.