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5980be9b3c
This work is based in part on code from NetBSD libm, libc and kernel. The library is partly public domain and partly BSD-style licensed.
310 lines
8.3 KiB
C
310 lines
8.3 KiB
C
/*
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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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* $NetBSD: math_private.h,v 1.16.8.1 2012/05/09 18:22:36 riz Exp $
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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 <sys/types.h>
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#include <endian.h>
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#include <stdint.h>
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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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/*
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* The ARM ports are little endian except for the FPA word order which is
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* big endian.
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*/
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#if (BYTE_ORDER == BIG_ENDIAN) || (defined(__arm__) && !defined(__VFP_FP__))
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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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uint32_t msw;
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uint32_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 (BYTE_ORDER == LITTLE_ENDIAN) && \
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!(defined(__arm__) && !defined(__VFP_FP__))
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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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uint32_t lsw;
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uint32_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 (/*CONSTCOND*/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 (/*CONSTCOND*/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 (/*CONSTCOND*/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 (/*CONSTCOND*/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 (/*CONSTCOND*/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 (/*CONSTCOND*/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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uint32_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 (/*CONSTCOND*/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 (/*CONSTCOND*/0)
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/*
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* Attempt to get strict C99 semantics for assignment with non-C99 compilers.
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*/
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#if FLT_EVAL_METHOD == 0 || __GNUC__ == 0
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#define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval))
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#else
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#define STRICT_ASSIGN(type, lval, rval) do { \
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volatile type __lval; \
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\
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if (sizeof(type) >= sizeof(double)) \
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(lval) = (rval); \
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else { \
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__lval = (rval); \
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(lval) = __lval; \
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} \
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} while (/*CONSTCOND*/0)
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#endif
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#ifdef INCLUDE_COMPLEX_H
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/*
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* Quoting from ISO/IEC 9899:TC2:
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*
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* 6.2.5.13 Types
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* Each complex type has the same representation and alignment requirements as
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* an array type containing exactly two elements of the corresponding real type;
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* the first element is equal to the real part, and the second element to the
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* imaginary part, of the complex number.
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*/
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typedef union {
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float complex z;
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float parts[2];
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} float_complex;
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typedef union {
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double complex z;
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double parts[2];
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} double_complex;
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typedef union {
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long double complex z;
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long double parts[2];
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} long_double_complex;
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#define REAL_PART(z) ((z).parts[0])
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#define IMAG_PART(z) ((z).parts[1])
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#endif /* _COMPLEX_H */
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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_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 int __ieee754_rem_pio2(double,double*);
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extern double __ieee754_scalb(double, double);
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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 int*);
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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_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 int __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 int*);
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/*
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* TRUNC() is a macro that sets the trailing 27 bits in the mantissa of an
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* IEEE double variable to zero. It must be expression-like for syntactic
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* reasons, and we implement this expression using an inline function
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* instead of a pure macro to avoid depending on the gcc feature of
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* statement-expressions.
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*/
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#define TRUNC(d) (_b_trunc(&(d)))
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static __inline void
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_b_trunc(volatile double *_dp)
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{
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uint32_t _lw;
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GET_LOW_WORD(_lw, *_dp);
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SET_LOW_WORD(*_dp, _lw & 0xf8000000);
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}
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struct Double {
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double a;
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double b;
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};
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/*
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* Functions internal to the math package, yet not static.
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*/
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double __exp__D(double, double);
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struct Double __log__D(double);
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#endif /* _MATH_PRIVATE_H_ */
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