boys.h File Reference

Calculation of the boys function. More...

#include <arb.h>

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Functions
void	mirp_boys (arb_ptr F, int m, const arb_t t, slong working_prec)
	Computes the Boys function using interval arithmetic. More...
void	mirp_boys_str (arb_ptr F, int m, const char *t, slong working_prec)
	Computes the Boys function using interval arithmetic from string inputs. More...
void	mirp_boys_exact (double *F, int m, double t)
	Computes the Boys function to exact double precision using interval arithmetic. More...

Detailed Description

Calculation of the boys function.

Function Documentation

mirp_boys()

void mirp_boys	(	arb_ptr	F,
		int	m,
		const arb_t	t,
		slong	working_prec
	)

Computes the Boys function using interval arithmetic.

See The Boys Function

Warning

F must be large enough to hold (m + 1) values, since this is computing from zero to m.

Parameters

[out]	F	The computed values of the Boys function
[in]	m	The maximum order to calculate
[in]	t	The value at which to evaluate
[in]	working_prec	The working precision (binary digits/bits) to use in the calculation

mirp_boys_exact()

void mirp_boys_exact	(	double *	F,
		int	m,
		double	t
	)

Computes the Boys function to exact double precision using interval arithmetic.

This function takes double precision as input and returns double precision as output. Internally, it uses interval arithmetic to ensure that no precision is lost

Warning

F must be large enough to hold (m + 1) values, since this is computing from zero to m.

Parameters

[out]	F	The computed values of the Boys function
[in]	m	The maximum order to calculate
[in]	t	The value at which to evaluate

mirp_boys_str()

void mirp_boys_str	(	arb_ptr	F,
		int	m,
		const char *	t,
		slong	working_prec
	)

Computes the Boys function using interval arithmetic from string inputs.

See The Boys Function

Warning

F must be large enough to hold (m + 1) values, since this is computing from zero to m.

Parameters

[out]	F	The computed values of the Boys function
[in]	m	The maximum order to calculate
[in]	t	The value at which to evaluate
[in]	working_prec	The working precision (binary digits/bits) to use in the calculation