| 1 | /*
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| 2 | * ====================================================
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| 3 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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| 4 | *
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| 5 | * Developed at SunPro, a Sun Microsystems, Inc. business.
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| 6 | * Permission to use, copy, modify, and distribute this
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| 7 | * software is freely granted, provided that this notice
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| 8 | * is preserved.
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| 9 | * ====================================================
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| 10 | */
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| 11 |
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| 12 | /*
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| 13 | * from: @(#)fdlibm.h 5.1 93/09/24
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| 14 | * $FreeBSD: src/lib/msun/src/math_private.h,v 1.17 2005/02/04 20:05:39 das Exp $
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| 15 | */
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| 16 |
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| 17 | #ifndef _MATH_PRIVATE_H_
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| 18 | #define _MATH_PRIVATE_H_
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| 19 |
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| 20 | #include <sys/types.h>
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| 21 | #include <machine/endian.h>
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| 22 |
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| 23 | /*
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| 24 | * The original fdlibm code used statements like:
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| 25 | * n0 = ((*(int*)&one)>>29)^1; * index of high word *
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| 26 | * ix0 = *(n0+(int*)&x); * high word of x *
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| 27 | * ix1 = *((1-n0)+(int*)&x); * low word of x *
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| 28 | * to dig two 32 bit words out of the 64 bit IEEE floating point
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| 29 | * value. That is non-ANSI, and, moreover, the gcc instruction
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| 30 | * scheduler gets it wrong. We instead use the following macros.
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| 31 | * Unlike the original code, we determine the endianness at compile
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| 32 | * time, not at run time; I don't see much benefit to selecting
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| 33 | * endianness at run time.
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| 34 | */
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| 35 |
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| 36 | /*
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| 37 | * A union which permits us to convert between a double and two 32 bit
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| 38 | * ints.
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| 39 | */
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| 40 |
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| 41 | #if BYTE_ORDER == BIG_ENDIAN
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| 42 |
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| 43 | typedef union
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| 44 | {
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| 45 | double value;
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| 46 | struct
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| 47 | {
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| 48 | u_int32_t msw;
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| 49 | u_int32_t lsw;
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| 50 | } parts;
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| 51 | } ieee_double_shape_type;
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| 52 |
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| 53 | #endif
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| 54 |
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| 55 | #if BYTE_ORDER == LITTLE_ENDIAN
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| 56 |
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| 57 | typedef union
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| 58 | {
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| 59 | double value;
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| 60 | struct
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| 61 | {
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| 62 | u_int32_t lsw;
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| 63 | u_int32_t msw;
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| 64 | } parts;
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| 65 | } ieee_double_shape_type;
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| 66 |
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| 67 | #endif
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| 68 |
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| 69 | /* Get two 32 bit ints from a double. */
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| 70 |
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| 71 | #define EXTRACT_WORDS(ix0,ix1,d) \
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| 72 | do { \
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| 73 | ieee_double_shape_type ew_u; \
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| 74 | ew_u.value = (d); \
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| 75 | (ix0) = ew_u.parts.msw; \
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| 76 | (ix1) = ew_u.parts.lsw; \
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| 77 | } while (0)
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| 78 |
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| 79 | /* Get the more significant 32 bit int from a double. */
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| 80 |
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| 81 | #define GET_HIGH_WORD(i,d) \
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| 82 | do { \
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| 83 | ieee_double_shape_type gh_u; \
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| 84 | gh_u.value = (d); \
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| 85 | (i) = gh_u.parts.msw; \
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| 86 | } while (0)
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| 87 |
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| 88 | /* Get the less significant 32 bit int from a double. */
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| 89 |
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| 90 | #define GET_LOW_WORD(i,d) \
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| 91 | do { \
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| 92 | ieee_double_shape_type gl_u; \
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| 93 | gl_u.value = (d); \
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| 94 | (i) = gl_u.parts.lsw; \
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| 95 | } while (0)
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| 96 |
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| 97 | /* Set a double from two 32 bit ints. */
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| 98 |
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| 99 | #define INSERT_WORDS(d,ix0,ix1) \
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| 100 | do { \
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| 101 | ieee_double_shape_type iw_u; \
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| 102 | iw_u.parts.msw = (ix0); \
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| 103 | iw_u.parts.lsw = (ix1); \
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| 104 | (d) = iw_u.value; \
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| 105 | } while (0)
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| 106 |
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| 107 | /* Set the more significant 32 bits of a double from an int. */
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| 108 |
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| 109 | #define SET_HIGH_WORD(d,v) \
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| 110 | do { \
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| 111 | ieee_double_shape_type sh_u; \
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| 112 | sh_u.value = (d); \
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| 113 | sh_u.parts.msw = (v); \
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| 114 | (d) = sh_u.value; \
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| 115 | } while (0)
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| 116 |
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| 117 | /* Set the less significant 32 bits of a double from an int. */
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| 118 |
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| 119 | #define SET_LOW_WORD(d,v) \
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| 120 | do { \
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| 121 | ieee_double_shape_type sl_u; \
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| 122 | sl_u.value = (d); \
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| 123 | sl_u.parts.lsw = (v); \
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| 124 | (d) = sl_u.value; \
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| 125 | } while (0)
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| 126 |
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| 127 | /*
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| 128 | * A union which permits us to convert between a float and a 32 bit
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| 129 | * int.
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| 130 | */
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| 131 |
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| 132 | typedef union
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| 133 | {
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| 134 | float value;
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| 135 | /* FIXME: Assumes 32 bit int. */
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| 136 | unsigned int word;
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| 137 | } ieee_float_shape_type;
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| 138 |
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| 139 | /* Get a 32 bit int from a float. */
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| 140 |
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| 141 | #define GET_FLOAT_WORD(i,d) \
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| 142 | do { \
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| 143 | ieee_float_shape_type gf_u; \
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| 144 | gf_u.value = (d); \
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| 145 | (i) = gf_u.word; \
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| 146 | } while (0)
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| 147 |
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| 148 | /* Set a float from a 32 bit int. */
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| 149 |
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| 150 | #define SET_FLOAT_WORD(d,i) \
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| 151 | do { \
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| 152 | ieee_float_shape_type sf_u; \
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| 153 | sf_u.word = (i); \
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| 154 | (d) = sf_u.value; \
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| 155 | } while (0)
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| 156 |
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| 157 | /*
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| 158 | * ieee style elementary functions
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| 159 | *
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| 160 | * We rename functions here to improve other sources' diffability
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| 161 | * against fdlibm.
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| 162 | */
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| 163 | #define __ieee754_sqrt sqrt
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| 164 | #define __ieee754_acos acos
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| 165 | #define __ieee754_acosh acosh
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| 166 | #define __ieee754_log log
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| 167 | #define __ieee754_atanh atanh
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| 168 | #define __ieee754_asin asin
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| 169 | #define __ieee754_atan2 atan2
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| 170 | #define __ieee754_exp exp
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| 171 | #define __ieee754_cosh cosh
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| 172 | #define __ieee754_fmod fmod
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| 173 | #define __ieee754_pow pow
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| 174 | #define __ieee754_lgamma lgamma
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| 175 | #define __ieee754_gamma gamma
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| 176 | #define __ieee754_lgamma_r lgamma_r
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| 177 | #define __ieee754_gamma_r gamma_r
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| 178 | #define __ieee754_log10 log10
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| 179 | #define __ieee754_sinh sinh
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| 180 | #define __ieee754_hypot hypot
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| 181 | #define __ieee754_j0 j0
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| 182 | #define __ieee754_j1 j1
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| 183 | #define __ieee754_y0 y0
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| 184 | #define __ieee754_y1 y1
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| 185 | #define __ieee754_jn jn
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| 186 | #define __ieee754_yn yn
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| 187 | #define __ieee754_remainder remainder
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| 188 | #define __ieee754_scalb scalb
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| 189 | #define __ieee754_sqrtf sqrtf
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| 190 | #define __ieee754_acosf acosf
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| 191 | #define __ieee754_acoshf acoshf
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| 192 | #define __ieee754_logf logf
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| 193 | #define __ieee754_atanhf atanhf
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| 194 | #define __ieee754_asinf asinf
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| 195 | #define __ieee754_atan2f atan2f
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| 196 | #define __ieee754_expf expf
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| 197 | #define __ieee754_coshf coshf
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| 198 | #define __ieee754_fmodf fmodf
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| 199 | #define __ieee754_powf powf
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| 200 | #define __ieee754_lgammaf lgammaf
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| 201 | #define __ieee754_gammaf gammaf
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| 202 | #define __ieee754_lgammaf_r lgammaf_r
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| 203 | #define __ieee754_gammaf_r gammaf_r
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| 204 | #define __ieee754_log10f log10f
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| 205 | #define __ieee754_sinhf sinhf
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| 206 | #define __ieee754_hypotf hypotf
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| 207 | #define __ieee754_j0f j0f
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| 208 | #define __ieee754_j1f j1f
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| 209 | #define __ieee754_y0f y0f
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| 210 | #define __ieee754_y1f y1f
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| 211 | #define __ieee754_jnf jnf
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| 212 | #define __ieee754_ynf ynf
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| 213 | #define __ieee754_remainderf remainderf
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| 214 | #define __ieee754_scalbf scalbf
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| 215 |
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| 216 | /* fdlibm kernel function */
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| 217 | int __ieee754_rem_pio2(double,double*);
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| 218 | double __kernel_sin(double,double,int);
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| 219 | double __kernel_cos(double,double);
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| 220 | double __kernel_tan(double,double,int);
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| 221 | int __kernel_rem_pio2(double*,double*,int,int,int,const int*);
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| 222 |
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| 223 | /* float versions of fdlibm kernel functions */
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| 224 | int __ieee754_rem_pio2f(float,float*);
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| 225 | float __kernel_sinf(float,float,int);
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| 226 | float __kernel_cosf(float,float);
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| 227 | float __kernel_tanf(float,float,int);
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| 228 | int __kernel_rem_pio2f(float*,float*,int,int,int,const int*);
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| 229 |
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| 230 | #endif /* !_MATH_PRIVATE_H_ */
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