NcmBinSplit: NumCosmo Reference Manual

NcmBinSplit

NcmBinSplit — Binnary splitting algorithms used to evaluate sums fast and with arbitrary precision.

Stability Level

Stable, unless otherwise indicated

Functions

void	(*NcmBinSplitEval) ()
NcmBinSplit *	ncm_binsplit_alloc ()
glong	ncm_binsplit_test_next ()
void	ncm_binsplit_join ()
void	ncm_binsplit_eval_join ()
gulong	ncm_binsplit_eval_prec ()
void	ncm_binsplit_get ()
void	ncm_binsplit_get_q ()
gdouble	ncm_binsplit_get_d ()
#define	NCM_BINSPLIT_DECL()
#define	NCM_BINSPLIT_DENC_NULL()

Types and Values

struct	NcmBinSplit
extern mpz_t	NCM_BINSPLIT_ONE

Includes

#include <numcosmo/math/ncm_binsplit.h>

Description

This object implements a binary splitting algorithm to evaluate sums with arbitrary precision.

Functions

NcmBinSplitEval ()

void
(*NcmBinSplitEval) (NcmBinSplit *bs,
                    gulong n1,
                    gulong n2);

ncm_binsplit_alloc ()

NcmBinSplit *
ncm_binsplit_alloc (gpointer userdata);

Allocates a new NcmBinSplit.

[skip]

Parameters

userdata

user data to be passed to the NcmBinSplitEval function

Returns

a new NcmBinSplit.

[transfer full]

ncm_binsplit_test_next ()

glong
ncm_binsplit_test_next (NcmBinSplit *bs,
                        NcmBinSplitEval bs_eval,
                        gulong nt);

Computes the number of bits of precision that would be gained by adding nt terms to the sum.

[skip]

Parameters

bs	a NcmBinSplit
bs_eval	a NcmBinSplitEval
nt	number of terms to be added to the sum

Returns

number of bits of precision that would be gained by adding nt terms to the sum.

ncm_binsplit_join ()

void
ncm_binsplit_join (NcmBinSplit *bs,
                   NcmBinSplit *bs_l,
                   NcmBinSplit *bs_r);

Joins two NcmBinSplit objects, it is assumed that bs_l and bs_r are consecutive in the sum.

Parameters

bs	a NcmBinSplit
bs_l	a NcmBinSplit
bs_r	a NcmBinSplit

ncm_binsplit_eval_join ()

void
ncm_binsplit_eval_join (NcmBinSplit *bs,
                        NcmBinSplitEval bs_eval,
                        gulong nt);

Evaluates the sum of nt terms and joins the result to the sum stored in bs .

[skip]

Parameters

bs	a NcmBinSplit
bs_eval	a NcmBinSplitEval
nt	number of terms to be added to the sum

ncm_binsplit_eval_prec ()

gulong
ncm_binsplit_eval_prec (NcmBinSplit *bs,
                        NcmBinSplitEval bs_eval,
                        gulong step,
                        glong prec);

Evaluates the sum until the number of bits of precision is greater or equal to prec .

[skip]

Parameters

bs	a NcmBinSplit
bs_eval	a NcmBinSplitEval
step	number of terms to be added to the sum in each iteration
prec	number of bits of precision to be achieved

Returns

number of terms added to the sum.

ncm_binsplit_get ()

void
ncm_binsplit_get (NcmBinSplit *bs,
                  mpfr_t res);

Computes the value of the sum stored in bs and stores the result in res in the form of a mpfr_t.

[skip]

Parameters

bs	a NcmBinSplit
res	a mpfr_t arbitrary precision float

ncm_binsplit_get_q ()

void
ncm_binsplit_get_q (NcmBinSplit *bs,
                    mpq_t q);

Computes the value of the sum stored in bs and stores the result in q . The result is stored in the form of a mpq_t.

[skip]

Parameters

bs	a NcmBinSplit
q	a mpq_t arbitrary precision rational

ncm_binsplit_get_d ()

gdouble
ncm_binsplit_get_d (NcmBinSplit *bs,
                    mp_rnd_t rnd);

Computes the value of the sum stored in bs and stores the result in res in the form of a double.

[skip]

Parameters

bs	a NcmBinSplit
rnd	a mp_rnd_t rounding mode

Returns

the value of the sum stored in bs in the form of a double.

NCM_BINSPLIT_DECL()

#define NCM_BINSPLIT_DECL(name,v,u,n,data) static inline void name (mpz_t v, mpz_t u, gulong n, gpointer data)

NCM_BINSPLIT_DENC_NULL()

#define NCM_BINSPLIT_DENC_NULL(a,b,c,d)

Types and Values

struct NcmBinSplit

struct NcmBinSplit {
};

FIXME

NCM_BINSPLIT_ONE

extern mpz_t NCM_BINSPLIT_ONE;