math_private.h File Reference

#include <openlibm_complex.h>
#include "cdefs-compat.h"
#include "types-compat.h"
#include "fpmath.h"
#include <stdint.h>
#include "math_private_openbsd.h"

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Classes
union	ieee_double_shape_type
union	ieee_double_shape_type
union	ieee_float_shape_type
struct	ieee_double_shape_type.parts
struct	ieee_double_shape_type.xparts
struct	ieee_double_shape_type.parts
struct	ieee_double_shape_type.xparts

Macros
#define	EXTRACT_WORDS(ix0, ix1, d)
#define	EXTRACT_WORD64(ix, d)
#define	GET_HIGH_WORD(i, d)
#define	GET_LOW_WORD(i, d)
#define	INSERT_WORDS(d, ix0, ix1)
#define	INSERT_WORD64(d, ix)
#define	SET_HIGH_WORD(d, v)
#define	SET_LOW_WORD(d, v)
#define	GET_FLOAT_WORD(i, d)
#define	SET_FLOAT_WORD(d, i)
#define	GET_LDBL_EXPSIGN(i, d)
#define	SET_LDBL_EXPSIGN(d, v)
#define	STRICT_ASSIGN(type, lval, rval)   ((lval) = (rval))
#define	__ieee754_sqrt   sqrt
#define	__ieee754_acos   acos
#define	__ieee754_acosh   acosh
#define	__ieee754_log   log
#define	__ieee754_log2   log2
#define	__ieee754_atanh   atanh
#define	__ieee754_asin   asin
#define	__ieee754_atan2   atan2
#define	__ieee754_exp   exp
#define	__ieee754_cosh   cosh
#define	__ieee754_fmod   fmod
#define	__ieee754_pow   pow
#define	__ieee754_lgamma   lgamma
#define	__ieee754_lgamma_r   lgamma_r
#define	__ieee754_log10   log10
#define	__ieee754_sinh   sinh
#define	__ieee754_hypot   hypot
#define	__ieee754_j0   j0
#define	__ieee754_j1   j1
#define	__ieee754_y0   y0
#define	__ieee754_y1   y1
#define	__ieee754_jn   jn
#define	__ieee754_yn   yn
#define	__ieee754_remainder   remainder
#define	__ieee754_sqrtf   sqrtf
#define	__ieee754_acosf   acosf
#define	__ieee754_acoshf   acoshf
#define	__ieee754_logf   logf
#define	__ieee754_atanhf   atanhf
#define	__ieee754_asinf   asinf
#define	__ieee754_atan2f   atan2f
#define	__ieee754_expf   expf
#define	__ieee754_coshf   coshf
#define	__ieee754_fmodf   fmodf
#define	__ieee754_powf   powf
#define	__ieee754_lgammaf   lgammaf
#define	__ieee754_lgammaf_r   lgammaf_r
#define	__ieee754_log10f   log10f
#define	__ieee754_log2f   log2f
#define	__ieee754_sinhf   sinhf
#define	__ieee754_hypotf   hypotf
#define	__ieee754_j0f   j0f
#define	__ieee754_j1f   j1f
#define	__ieee754_y0f   y0f
#define	__ieee754_y1f   y1f
#define	__ieee754_jnf   jnf
#define	__ieee754_ynf   ynf
#define	__ieee754_remainderf   remainderf
#define	OLM_DLLEXPORT   __attribute__ ((visibility("default")))

Functions
void	__scan_nan (u_int32_t *__words, int __num_words, const char *__s)
int	__kernel_rem_pio2 (double *, double *, int, int, int)
int	__ieee754_rem_pio2 (double, double *)
double	__kernel_sin (double, double, int)
double	__kernel_cos (double, double)
double	__kernel_tan (double, double, int)
double	__ldexp_exp (double, int)
double complex	__ldexp_cexp (double complex, int)
int	__ieee754_rem_pio2f (float, double *)
float	__kernel_sindf (double)
float	__kernel_cosdf (double)
float	__kernel_tandf (double, int)
float	__ldexp_expf (float, int)
float complex	__ldexp_cexpf (float complex, int)
long double	__kernel_sinl (long double, long double, int)
long double	__kernel_cosl (long double, long double)
long double	__kernel_tanl (long double, long double, int)

---

Class Documentation

ieee_double_shape_type

union ieee_double_shape_type

Class Members
struct ieee_double_shape_type	parts
struct ieee_double_shape_type	parts
double	value
struct ieee_double_shape_type	xparts
struct ieee_double_shape_type	xparts

ieee_double_shape_type

union ieee_double_shape_type

Class Members
struct ieee_double_shape_type	parts
struct ieee_double_shape_type	parts
double	value
struct ieee_double_shape_type	xparts
struct ieee_double_shape_type	xparts

ieee_float_shape_type

union ieee_float_shape_type

Class Members
float	value
unsigned int	word

ieee_double_shape_type.parts

struct ieee_double_shape_type.parts

Class Members
u_int32_t	lsw
u_int32_t	msw

ieee_double_shape_type.xparts

struct ieee_double_shape_type.xparts

Class Members
u_int64_t	w

ieee_double_shape_type.parts

struct ieee_double_shape_type.parts

Class Members
u_int32_t	lsw
u_int32_t	msw

ieee_double_shape_type.xparts

struct ieee_double_shape_type.xparts

Class Members
u_int64_t	w

Macro Definition Documentation

__ieee754_acos

#define __ieee754_acos   acos

__ieee754_acosf

#define __ieee754_acosf   acosf

__ieee754_acosh

#define __ieee754_acosh   acosh

__ieee754_acoshf

#define __ieee754_acoshf   acoshf

__ieee754_asin

#define __ieee754_asin   asin

__ieee754_asinf

#define __ieee754_asinf   asinf

__ieee754_atan2

#define __ieee754_atan2   atan2

__ieee754_atan2f

#define __ieee754_atan2f   atan2f

__ieee754_atanh

#define __ieee754_atanh   atanh

__ieee754_atanhf

#define __ieee754_atanhf   atanhf

__ieee754_cosh

#define __ieee754_cosh   cosh

__ieee754_coshf

#define __ieee754_coshf   coshf

__ieee754_exp

#define __ieee754_exp   exp

__ieee754_expf

#define __ieee754_expf   expf

__ieee754_fmod

#define __ieee754_fmod   fmod

__ieee754_fmodf

#define __ieee754_fmodf   fmodf

__ieee754_hypot

#define __ieee754_hypot   hypot

__ieee754_hypotf

#define __ieee754_hypotf   hypotf

__ieee754_j0

#define __ieee754_j0   j0

__ieee754_j0f

#define __ieee754_j0f   j0f

__ieee754_j1

#define __ieee754_j1   j1

__ieee754_j1f

#define __ieee754_j1f   j1f

__ieee754_jn

#define __ieee754_jn   jn

__ieee754_jnf

#define __ieee754_jnf   jnf

__ieee754_lgamma

#define __ieee754_lgamma   lgamma

__ieee754_lgamma_r

#define __ieee754_lgamma_r   lgamma_r

__ieee754_lgammaf

#define __ieee754_lgammaf   lgammaf

__ieee754_lgammaf_r

#define __ieee754_lgammaf_r   lgammaf_r

__ieee754_log

#define __ieee754_log   log

__ieee754_log10

#define __ieee754_log10   log10

__ieee754_log10f

#define __ieee754_log10f   log10f

__ieee754_log2

#define __ieee754_log2   log2

__ieee754_log2f

#define __ieee754_log2f   log2f

__ieee754_logf

#define __ieee754_logf   logf

__ieee754_pow

#define __ieee754_pow   pow

__ieee754_powf

#define __ieee754_powf   powf

__ieee754_remainder

#define __ieee754_remainder   remainder

__ieee754_remainderf

#define __ieee754_remainderf   remainderf

__ieee754_sinh

#define __ieee754_sinh   sinh

__ieee754_sinhf

#define __ieee754_sinhf   sinhf

__ieee754_sqrt

#define __ieee754_sqrt   sqrt

__ieee754_sqrtf

#define __ieee754_sqrtf   sqrtf

__ieee754_y0

#define __ieee754_y0   y0

__ieee754_y0f

#define __ieee754_y0f   y0f

__ieee754_y1

#define __ieee754_y1   y1

__ieee754_y1f

#define __ieee754_y1f   y1f

__ieee754_yn

#define __ieee754_yn   yn

__ieee754_ynf

#define __ieee754_ynf   ynf

EXTRACT_WORD64

#define EXTRACT_WORD64	(		ix,
			d
	)

Value:

do {                                \
  ieee_double_shape_type ew_u;                  \
  ew_u.value = (d);                     \
  (ix) = ew_u.xparts.w;                     \
} while (0)

EXTRACT_WORDS

#define EXTRACT_WORDS	(		ix0,
			ix1,
			d
	)

Value:

do {                                \
  ieee_double_shape_type ew_u;                  \
  ew_u.value = (d);                     \
  (ix0) = ew_u.parts.msw;                   \
  (ix1) = ew_u.parts.lsw;                   \
} while (0)

GET_FLOAT_WORD

#define GET_FLOAT_WORD	(		i,
			d
	)

Value:

do {                                \
  ieee_float_shape_type gf_u;                   \
  gf_u.value = (d);                     \
  (i) = gf_u.word;                      \
} while (0)

GET_HIGH_WORD

#define GET_HIGH_WORD	(		i,
			d
	)

Value:

do {                                \
  ieee_double_shape_type gh_u;                  \
  gh_u.value = (d);                     \
  (i) = gh_u.parts.msw;                     \
} while (0)

GET_LDBL_EXPSIGN

#define GET_LDBL_EXPSIGN	(		i,
			d
	)

Value:

do {                                \
  union IEEEl2bits ge_u;                    \
  ge_u.e = (d);                         \
  (i) = ge_u.xbits.expsign;                 \
} while (0)

GET_LOW_WORD

#define GET_LOW_WORD	(		i,
			d
	)

Value:

do {                                \
  ieee_double_shape_type gl_u;                  \
  gl_u.value = (d);                     \
  (i) = gl_u.parts.lsw;                     \
} while (0)

INSERT_WORD64

#define INSERT_WORD64	(		d,
			ix
	)

Value:

do {                                \
  ieee_double_shape_type iw_u;                  \
  iw_u.xparts.w = (ix);                     \
  (d) = iw_u.value;                     \
} while (0)

INSERT_WORDS

#define INSERT_WORDS	(		d,
			ix0,
			ix1
	)

Value:

do {                                \
  ieee_double_shape_type iw_u;                  \
  iw_u.parts.msw = (ix0);                   \
  iw_u.parts.lsw = (ix1);                   \
  (d) = iw_u.value;                     \
} while (0)

OLM_DLLEXPORT

#define OLM_DLLEXPORT   __attribute__ ((visibility("default")))

SET_FLOAT_WORD

#define SET_FLOAT_WORD	(		d,
			i
	)

Value:

do {                                \
  ieee_float_shape_type sf_u;                   \
  sf_u.word = (i);                      \
  (d) = sf_u.value;                     \
} while (0)

SET_HIGH_WORD

#define SET_HIGH_WORD	(		d,
			v
	)

Value:

do {                                \
  ieee_double_shape_type sh_u;                  \
  sh_u.value = (d);                     \
  sh_u.parts.msw = (v);                     \
  (d) = sh_u.value;                     \
} while (0)

SET_LDBL_EXPSIGN

#define SET_LDBL_EXPSIGN	(		d,
			v
	)

Value:

do {                                \
  union IEEEl2bits se_u;                    \
  se_u.e = (d);                         \
  se_u.xbits.expsign = (v);                 \
  (d) = se_u.e;                         \
} while (0)

SET_LOW_WORD

#define SET_LOW_WORD	(		d,
			v
	)

Value:

do {                                \
  ieee_double_shape_type sl_u;                  \
  sl_u.value = (d);                     \
  sl_u.parts.lsw = (v);                     \
  (d) = sl_u.value;                     \
} while (0)

STRICT_ASSIGN

#define STRICT_ASSIGN	(		type,
			lval,
			rval
	)		((lval) = (rval))

Function Documentation

__ieee754_rem_pio2()

int __ieee754_rem_pio2	(	double	,
		double *
	)

References __kernel_rem_pio2(), fn, GET_HIGH_WORD, GET_LOW_WORD, high, INSERT_WORDS, invpio2, low, n, pio2_1, pio2_1t, pio2_2, pio2_2t, pio2_3, pio2_3t, r, STRICT_ASSIGN, t, two24, w, z, and zero.

Referenced by cos(), sin(), sincos(), and tan().

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__ieee754_rem_pio2f()

int __ieee754_rem_pio2f	(	float	,
		double *
	)

References __kernel_rem_pio2(), fn, GET_FLOAT_WORD, invpio2, n, pio2_1, pio2_1t, r, SET_FLOAT_WORD, STRICT_ASSIGN, w, and z.

Referenced by cosf(), sincosf(), sinf(), and tanf().

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__kernel_cos()

double __kernel_cos	(	double	,
		double
	)

References C1, C2, C3, C4, C5, C6, one, r, w, and z.

Referenced by cos(), sin(), and sin_pi().

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__kernel_cosdf()

float __kernel_cosdf

(

double

)

References C0, C1, C2, C3, one, r, w, and z.

Referenced by cosf(), sin_pif(), and sinf().

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__kernel_cosl()

long double __kernel_cosl	(	long double	,
		long double
	)

References C1, C10, C11, C2, C3, C4, C5, C6, C7, C8, C9, one, r, w, and z.

Referenced by cosl(), and sinl().

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__kernel_rem_pio2()

int __kernel_rem_pio2	(	double *	,
		double *	,
		int	,
		int	,
		int
	)

References floor(), init_jk, ipio2, k, n, one, PIo2, scalbn(), STRICT_ASSIGN, two24, twon24, z, and zero.

Referenced by __ieee754_rem_pio2(), __ieee754_rem_pio2f(), and __ieee754_rem_pio2l().

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__kernel_sin()

double __kernel_sin	(	double	,
		double	,
		int
	)

References half, r, S1, S2, S3, S4, S5, S6, w, and z.

Referenced by cos(), sin(), and sin_pi().

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__kernel_sindf()

float __kernel_sindf

(

double

)

References r, s, S1, S2, S3, S4, w, and z.

Referenced by cosf(), sin_pif(), and sinf().

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__kernel_sinl()

long double __kernel_sinl	(	long double	,
		long double	,
		int
	)

References half, r, S1, S10, S11, S12, S2, S3, S4, S5, S6, S7, S8, S9, and z.

Referenced by cosl(), and sinl().

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__kernel_tan()

double __kernel_tan	(	double	,
		double	,
		int
	)

References a, GET_HIGH_WORD, pio4, pio4lo, r, s, SET_LOW_WORD, T, t, w, and z.

Referenced by tan().

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__kernel_tandf()

float __kernel_tandf	(	double	,
		int
	)

References r, s, T, t, u, w, and z.

Referenced by tanf().

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__kernel_tanl()

long double __kernel_tanl	(	long double	,
		long double	,
		int
	)

References a, fabsl(), pio4, pio4lo, r, s, t, T11, T13, T15, T17, T19, T21, T23, T25, T27, T29, T3, T31, T33, T35, T37, T39, T41, T43, T45, T47, T49, T5, T51, T53, T55, T57, T7, T9, w, and z.

Referenced by tanl().

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__ldexp_cexp()

double complex __ldexp_cexp	(	double	complex,
		int
	)

References __frexp_exp(), cimag(), CMPLX(), cos(), creal(), INSERT_WORDS, sin(), and z.

Referenced by ccosh(), cexp(), and csinh().

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__ldexp_cexpf()

float complex __ldexp_cexpf	(	float	complex,
		int
	)

References __frexp_expf(), cimagf(), CMPLXF(), cosf(), crealf(), SET_FLOAT_WORD, sinf(), and z.

Referenced by ccoshf(), cexpf(), and csinhf().

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__ldexp_exp()

double __ldexp_exp	(	double	,
		int
	)

References __frexp_exp(), and INSERT_WORDS.

Referenced by __ieee754_cosh(), and __ieee754_sinh().

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__ldexp_expf()

float __ldexp_expf	(	float	,
		int
	)

References __frexp_expf(), and SET_FLOAT_WORD.

Referenced by __ieee754_coshf(), and __ieee754_sinhf().

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__scan_nan()

void __scan_nan	(	u_int32_t *	__words,
		int	__num_words,
		const char *	__s
	)

Referenced by nanl().

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