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jeremybenn |
/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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/*
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* from: @(#)fdlibm.h 5.1 93/09/24
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* $Id: math_private.h 148 2010-06-30 19:21:22Z jeremybennett $
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*/
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#ifndef _MATH_PRIVATE_H_
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#define _MATH_PRIVATE_H_
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#include <endian.h>
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#include <sys/types.h>
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#include <machine/weakalias.h>
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#include <machine/huge_val.h>
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#define INFINITY HUGE_VALF
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#define __nan nan
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#define __isnan isnan
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#define __isinf isinf
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#define __copysignf copysignf
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#define __copysign copysign
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#define __isnanf isnanf
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#define __isinff isinff
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#define __nanf nanf
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#define feraiseexcept(x) /* nothing */
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#define __sincos sincos
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#define __sincosf sincosf
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int __signbitd (double x);
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int __signbitf (float x);
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/* The original fdlibm code used statements like:
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n0 = ((*(int*)&one)>>29)^1; * index of high word *
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ix0 = *(n0+(int*)&x); * high word of x *
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ix1 = *((1-n0)+(int*)&x); * low word of x *
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to dig two 32 bit words out of the 64 bit IEEE floating point
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value. That is non-ANSI, and, moreover, the gcc instruction
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scheduler gets it wrong. We instead use the following macros.
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Unlike the original code, we determine the endianness at compile
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time, not at run time; I don't see much benefit to selecting
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endianness at run time. */
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/* A union which permits us to convert between a double and two 32 bit
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ints. */
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#if __FLOAT_WORD_ORDER == BIG_ENDIAN
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typedef union
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{
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double value;
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struct
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{
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u_int32_t msw;
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u_int32_t lsw;
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} parts;
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} ieee_double_shape_type;
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#endif
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#if __FLOAT_WORD_ORDER == LITTLE_ENDIAN
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typedef union
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{
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double value;
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struct
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{
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u_int32_t lsw;
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u_int32_t msw;
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} parts;
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} ieee_double_shape_type;
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#endif
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/* Get two 32 bit ints from a double. */
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#define EXTRACT_WORDS(ix0,ix1,d) \
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do { \
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ieee_double_shape_type ew_u; \
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ew_u.value = (d); \
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(ix0) = ew_u.parts.msw; \
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(ix1) = ew_u.parts.lsw; \
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} while (0)
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/* Get the more significant 32 bit int from a double. */
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#define GET_HIGH_WORD(i,d) \
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do { \
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ieee_double_shape_type gh_u; \
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gh_u.value = (d); \
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(i) = gh_u.parts.msw; \
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} while (0)
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/* Get the less significant 32 bit int from a double. */
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#define GET_LOW_WORD(i,d) \
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do { \
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ieee_double_shape_type gl_u; \
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gl_u.value = (d); \
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(i) = gl_u.parts.lsw; \
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} while (0)
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/* Set a double from two 32 bit ints. */
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#define INSERT_WORDS(d,ix0,ix1) \
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do { \
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ieee_double_shape_type iw_u; \
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iw_u.parts.msw = (ix0); \
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iw_u.parts.lsw = (ix1); \
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(d) = iw_u.value; \
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} while (0)
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/* Set the more significant 32 bits of a double from an int. */
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#define SET_HIGH_WORD(d,v) \
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do { \
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ieee_double_shape_type sh_u; \
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sh_u.value = (d); \
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sh_u.parts.msw = (v); \
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(d) = sh_u.value; \
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} while (0)
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/* Set the less significant 32 bits of a double from an int. */
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#define SET_LOW_WORD(d,v) \
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do { \
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ieee_double_shape_type sl_u; \
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sl_u.value = (d); \
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sl_u.parts.lsw = (v); \
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(d) = sl_u.value; \
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} while (0)
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/* A union which permits us to convert between a float and a 32 bit
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int. */
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typedef union
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{
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float value;
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u_int32_t word;
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} ieee_float_shape_type;
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/* Get a 32 bit int from a float. */
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#define GET_FLOAT_WORD(i,d) \
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do { \
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ieee_float_shape_type gf_u; \
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gf_u.value = (d); \
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(i) = gf_u.word; \
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} while (0)
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/* Set a float from a 32 bit int. */
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#define SET_FLOAT_WORD(d,i) \
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do { \
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ieee_float_shape_type sf_u; \
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sf_u.word = (i); \
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(d) = sf_u.value; \
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} while (0)
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#if 0
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/* ieee style elementary functions */
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extern double __ieee754_sqrt (double);
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extern double __ieee754_acos (double);
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extern double __ieee754_acosh (double);
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extern double __ieee754_log (double);
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extern double __ieee754_atanh (double);
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extern double __ieee754_asin (double);
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extern double __ieee754_atan2 (double,double);
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extern double __ieee754_exp (double);
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extern double __ieee754_exp2 (double);
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extern double __ieee754_exp10 (double);
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extern double __ieee754_cosh (double);
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extern double __ieee754_fmod (double,double);
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extern double __ieee754_pow (double,double);
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extern double __ieee754_lgamma_r (double,int *);
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extern double __ieee754_gamma_r (double,int *);
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extern double __ieee754_lgamma (double);
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extern double __ieee754_gamma (double);
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extern double __ieee754_log10 (double);
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extern double __ieee754_log2 (double);
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extern double __ieee754_sinh (double);
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extern double __ieee754_hypot (double,double);
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extern double __ieee754_j0 (double);
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extern double __ieee754_j1 (double);
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extern double __ieee754_y0 (double);
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extern double __ieee754_y1 (double);
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extern double __ieee754_jn (int,double);
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extern double __ieee754_yn (int,double);
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extern double __ieee754_remainder (double,double);
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extern int32_t __ieee754_rem_pio2 (double,double*);
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extern double __ieee754_scalb (double,double);
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#endif
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/* This is necessary because the hardware accelerated version of libm
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does not provide the __ieee754 functions. */
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#define __ieee754_sinh sinh
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#define __ieee754_hypot hypot
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#define __ieee754_hypotf hypotf
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#define __ieee754_logf logf
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#define __ieee754_log10 log10
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#define __ieee754_exp exp
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#define __ieee754_cosh cosh
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#define __ieee754_expf expf
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#define __ieee754_log10f log10f
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#define __ieee754_atan2 atan2
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#define __ieee754_sqrtf sqrtf
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#define __ieee754_sinhf sinhf
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#define __ieee754_log log
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#define __ieee754_sqrt sqrt
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#define __ieee754_coshf coshf
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#define __ieee754_atan2f atan2f
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/* fdlibm kernel function */
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extern double __kernel_standard (double,double,int);
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extern double __kernel_sin (double,double,int);
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extern double __kernel_cos (double,double);
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extern double __kernel_tan (double,double,int);
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extern int __kernel_rem_pio2 (double*,double*,int,int,int, const int32_t*);
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/* internal functions. */
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extern double __copysign (double x, double __y);
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/* ieee style elementary float functions */
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extern float __ieee754_sqrtf (float);
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extern float __ieee754_acosf (float);
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extern float __ieee754_acoshf (float);
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extern float __ieee754_logf (float);
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extern float __ieee754_atanhf (float);
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extern float __ieee754_asinf (float);
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extern float __ieee754_atan2f (float,float);
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extern float __ieee754_expf (float);
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extern float __ieee754_exp2f (float);
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extern float __ieee754_exp10f (float);
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extern float __ieee754_coshf (float);
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extern float __ieee754_fmodf (float,float);
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extern float __ieee754_powf (float,float);
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extern float __ieee754_lgammaf_r (float,int *);
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extern float __ieee754_gammaf_r (float,int *);
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extern float __ieee754_lgammaf (float);
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extern float __ieee754_gammaf (float);
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extern float __ieee754_log10f (float);
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extern float __ieee754_log2f (float);
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extern float __ieee754_sinhf (float);
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extern float __ieee754_hypotf (float,float);
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extern float __ieee754_j0f (float);
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extern float __ieee754_j1f (float);
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extern float __ieee754_y0f (float);
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extern float __ieee754_y1f (float);
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extern float __ieee754_jnf (int,float);
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extern float __ieee754_ynf (int,float);
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extern float __ieee754_remainderf (float,float);
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extern int32_t __ieee754_rem_pio2f (float,float*);
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extern float __ieee754_scalbf (float,float);
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/* float versions of fdlibm kernel functions */
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extern float __kernel_sinf (float,float,int);
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extern float __kernel_cosf (float,float);
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extern float __kernel_tanf (float,float,int);
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extern int __kernel_rem_pio2f (float*,float*,int,int,int, const int32_t*);
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/* ieee style elementary long double functions */
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extern long double __ieee754_sqrtl (long double);
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extern long double __ieee754_acosl (long double);
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extern long double __ieee754_acoshl (long double);
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extern long double __ieee754_logl (long double);
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extern long double __ieee754_atanhl (long double);
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extern long double __ieee754_asinl (long double);
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extern long double __ieee754_atan2l (long double,long double);
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extern long double __ieee754_expl (long double);
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extern long double __ieee754_exp2l (long double);
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extern long double __ieee754_exp10l (long double);
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extern long double __ieee754_coshl (long double);
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extern long double __ieee754_fmodl (long double,long double);
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| 286 |
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extern long double __ieee754_powl (long double,long double);
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| 287 |
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extern long double __ieee754_lgammal_r (long double,int *);
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extern long double __ieee754_gammal_r (long double,int *);
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extern long double __ieee754_lgammal (long double);
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| 290 |
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extern long double __ieee754_gammal (long double);
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| 291 |
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extern long double __ieee754_log10l (long double);
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extern long double __ieee754_log2l (long double);
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| 293 |
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extern long double __ieee754_sinhl (long double);
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| 294 |
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extern long double __ieee754_hypotl (long double,long double);
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| 295 |
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extern long double __ieee754_j0l (long double);
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extern long double __ieee754_j1l (long double);
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extern long double __ieee754_y0l (long double);
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| 298 |
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extern long double __ieee754_y1l (long double);
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| 299 |
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extern long double __ieee754_jnl (int,long double);
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| 300 |
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extern long double __ieee754_ynl (int,long double);
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extern long double __ieee754_remainderl (long double,long double);
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| 302 |
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extern int __ieee754_rem_pio2l (long double,long double*);
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| 303 |
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extern long double __ieee754_scalbl (long double,long double);
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| 304 |
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| 305 |
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/* long double versions of fdlibm kernel functions */
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| 306 |
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extern long double __kernel_sinl (long double,long double,int);
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| 307 |
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extern long double __kernel_cosl (long double,long double);
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| 308 |
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extern long double __kernel_tanl (long double,long double,int);
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| 309 |
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extern void __kernel_sincosl (long double,long double,
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long double *,long double *, int);
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| 311 |
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extern int __kernel_rem_pio2l (long double*,long double*,int,int,
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| 312 |
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int,const int*);
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| 313 |
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| 314 |
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#ifndef NO_LONG_DOUBLE
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| 315 |
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/* prototypes required to compile the ldbl-96 support without warnings */
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| 316 |
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extern int __finitel (long double);
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| 317 |
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extern int __ilogbl (long double);
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| 318 |
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extern int __isinfl (long double);
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| 319 |
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extern int __isnanl (long double);
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| 320 |
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extern long double __atanl (long double);
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| 321 |
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extern long double __copysignl (long double, long double);
|
| 322 |
|
|
extern long double __expm1l (long double);
|
| 323 |
|
|
extern long double __floorl (long double);
|
| 324 |
|
|
extern long double __frexpl (long double, int *);
|
| 325 |
|
|
extern long double __ldexpl (long double, int);
|
| 326 |
|
|
extern long double __log1pl (long double);
|
| 327 |
|
|
extern long double __nanl (const char *);
|
| 328 |
|
|
extern long double __rintl (long double);
|
| 329 |
|
|
extern long double __scalbnl (long double, int);
|
| 330 |
|
|
extern long double __sqrtl (long double x);
|
| 331 |
|
|
extern long double fabsl (long double x);
|
| 332 |
|
|
extern void __sincosl (long double, long double *, long double *);
|
| 333 |
|
|
extern long double __logbl (long double x);
|
| 334 |
|
|
extern long double __significandl (long double x);
|
| 335 |
|
|
#endif
|
| 336 |
|
|
|
| 337 |
|
|
/* Prototypes for functions of the IBM Accurate Mathematical Library. */
|
| 338 |
|
|
extern double __exp1 (double __x, double __xx, double __error);
|
| 339 |
|
|
extern double __sin (double __x);
|
| 340 |
|
|
extern double __cos (double __x);
|
| 341 |
|
|
extern int __branred (double __x, double *__a, double *__aa);
|
| 342 |
|
|
extern void __doasin (double __x, double __dx, double __v[]);
|
| 343 |
|
|
extern void __dubsin (double __x, double __dx, double __v[]);
|
| 344 |
|
|
extern void __dubcos (double __x, double __dx, double __v[]);
|
| 345 |
|
|
extern double __halfulp (double __x, double __y);
|
| 346 |
|
|
extern double __sin32 (double __x, double __res, double __res1);
|
| 347 |
|
|
extern double __cos32 (double __x, double __res, double __res1);
|
| 348 |
|
|
extern double __mpsin (double __x, double __dx);
|
| 349 |
|
|
extern double __mpcos (double __x, double __dx);
|
| 350 |
|
|
extern double __mpsin1 (double __x);
|
| 351 |
|
|
extern double __mpcos1 (double __x);
|
| 352 |
|
|
extern double __slowexp (double __x);
|
| 353 |
|
|
extern double __slowpow (double __x, double __y, double __z);
|
| 354 |
|
|
extern void __docos (double __x, double __dx, double __v[]);
|
| 355 |
|
|
|
| 356 |
|
|
#endif /* _MATH_PRIVATE_H_ */
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