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      1 /* GCC Quad-Precision Math Library
      2    Copyright (C) 2010-2019 Free Software Foundation, Inc.
      3    Written by Francois-Xavier Coudert  <fxcoudert (at) gcc.gnu.org>
      4 
      5 This file is part of the libquadmath library.
      6 Libquadmath is free software; you can redistribute it and/or
      7 modify it under the terms of the GNU Library General Public
      8 License as published by the Free Software Foundation; either
      9 version 2 of the License, or (at your option) any later version.
     10 
     11 Libquadmath is distributed in the hope that it will be useful,
     12 but WITHOUT ANY WARRANTY; without even the implied warranty of
     13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
     14 Library General Public License for more details.
     15 
     16 You should have received a copy of the GNU Library General Public
     17 License along with libquadmath; see the file COPYING.LIB.  If
     18 not, write to the Free Software Foundation, Inc., 51 Franklin Street - Fifth Floor,
     19 Boston, MA 02110-1301, USA.  */
     20 
     21 #ifndef QUADMATH_H
     22 #define QUADMATH_H
     23 
     24 #include <stdlib.h>
     25 
     26 #ifdef __cplusplus
     27 extern "C" {
     28 #endif
     29 
     30 /* Define the complex type corresponding to __float128
     31    ("_Complex __float128" is not allowed) */
     32 #if (!defined(_ARCH_PPC)) || defined(__LONG_DOUBLE_IEEE128__)
     33 typedef _Complex float __attribute__((mode(TC))) __complex128;
     34 #else
     35 typedef _Complex float __attribute__((mode(KC))) __complex128;
     36 #endif
     37 
     38 #ifdef __cplusplus
     39 # define __quadmath_throw throw ()
     40 # define __quadmath_nth(fct) fct throw ()
     41 #else
     42 # define __quadmath_throw __attribute__((__nothrow__))
     43 # define __quadmath_nth(fct) __attribute__((__nothrow__)) fct
     44 #endif
     45 
     46 /* Prototypes for real functions */
     47 extern __float128 acosq (__float128) __quadmath_throw;
     48 extern __float128 acoshq (__float128) __quadmath_throw;
     49 extern __float128 asinq (__float128) __quadmath_throw;
     50 extern __float128 asinhq (__float128) __quadmath_throw;
     51 extern __float128 atanq (__float128) __quadmath_throw;
     52 extern __float128 atanhq (__float128) __quadmath_throw;
     53 extern __float128 atan2q (__float128, __float128) __quadmath_throw;
     54 extern __float128 cbrtq (__float128) __quadmath_throw;
     55 extern __float128 ceilq (__float128) __quadmath_throw;
     56 extern __float128 copysignq (__float128, __float128) __quadmath_throw;
     57 extern __float128 coshq (__float128) __quadmath_throw;
     58 extern __float128 cosq (__float128) __quadmath_throw;
     59 extern __float128 erfq (__float128) __quadmath_throw;
     60 extern __float128 erfcq (__float128) __quadmath_throw;
     61 extern __float128 exp2q (__float128) __quadmath_throw;
     62 extern __float128 expq (__float128) __quadmath_throw;
     63 extern __float128 expm1q (__float128) __quadmath_throw;
     64 extern __float128 fabsq (__float128) __quadmath_throw;
     65 extern __float128 fdimq (__float128, __float128) __quadmath_throw;
     66 extern int finiteq (__float128) __quadmath_throw;
     67 extern __float128 floorq (__float128) __quadmath_throw;
     68 extern __float128 fmaq (__float128, __float128, __float128) __quadmath_throw;
     69 extern __float128 fmaxq (__float128, __float128) __quadmath_throw;
     70 extern __float128 fminq (__float128, __float128) __quadmath_throw;
     71 extern __float128 fmodq (__float128, __float128) __quadmath_throw;
     72 extern __float128 frexpq (__float128, int *) __quadmath_throw;
     73 extern __float128 hypotq (__float128, __float128) __quadmath_throw;
     74 extern int isinfq (__float128) __quadmath_throw;
     75 extern int ilogbq (__float128) __quadmath_throw;
     76 extern int isnanq (__float128) __quadmath_throw;
     77 extern int issignalingq (__float128) __quadmath_throw;
     78 extern __float128 j0q (__float128) __quadmath_throw;
     79 extern __float128 j1q (__float128) __quadmath_throw;
     80 extern __float128 jnq (int, __float128) __quadmath_throw;
     81 extern __float128 ldexpq (__float128, int) __quadmath_throw;
     82 extern __float128 lgammaq (__float128) __quadmath_throw;
     83 extern long long int llrintq (__float128) __quadmath_throw;
     84 extern long long int llroundq (__float128) __quadmath_throw;
     85 extern __float128 logbq (__float128) __quadmath_throw;
     86 extern __float128 logq (__float128) __quadmath_throw;
     87 extern __float128 log10q (__float128) __quadmath_throw;
     88 extern __float128 log2q (__float128) __quadmath_throw;
     89 extern __float128 log1pq (__float128) __quadmath_throw;
     90 extern long int lrintq (__float128) __quadmath_throw;
     91 extern long int lroundq (__float128) __quadmath_throw;
     92 extern __float128 modfq (__float128, __float128 *) __quadmath_throw;
     93 extern __float128 nanq (const char *) __quadmath_throw;
     94 extern __float128 nearbyintq (__float128) __quadmath_throw;
     95 extern __float128 nextafterq (__float128, __float128) __quadmath_throw;
     96 extern __float128 powq (__float128, __float128) __quadmath_throw;
     97 extern __float128 remainderq (__float128, __float128) __quadmath_throw;
     98 extern __float128 remquoq (__float128, __float128, int *) __quadmath_throw;
     99 extern __float128 rintq (__float128) __quadmath_throw;
    100 extern __float128 roundq (__float128) __quadmath_throw;
    101 extern __float128 scalblnq (__float128, long int) __quadmath_throw;
    102 extern __float128 scalbnq (__float128, int) __quadmath_throw;
    103 extern int signbitq (__float128) __quadmath_throw;
    104 extern void sincosq (__float128, __float128 *, __float128 *) __quadmath_throw;
    105 extern __float128 sinhq (__float128) __quadmath_throw;
    106 extern __float128 sinq (__float128) __quadmath_throw;
    107 extern __float128 sqrtq (__float128) __quadmath_throw;
    108 extern __float128 tanq (__float128) __quadmath_throw;
    109 extern __float128 tanhq (__float128) __quadmath_throw;
    110 extern __float128 tgammaq (__float128) __quadmath_throw;
    111 extern __float128 truncq (__float128) __quadmath_throw;
    112 extern __float128 y0q (__float128) __quadmath_throw;
    113 extern __float128 y1q (__float128) __quadmath_throw;
    114 extern __float128 ynq (int, __float128) __quadmath_throw;
    115 
    116 
    117 /* Prototypes for complex functions */
    118 extern __float128 cabsq (__complex128) __quadmath_throw;
    119 extern __float128 cargq (__complex128) __quadmath_throw;
    120 extern __float128 cimagq (__complex128) __quadmath_throw;
    121 extern __float128 crealq (__complex128) __quadmath_throw;
    122 extern __complex128 cacosq (__complex128) __quadmath_throw;
    123 extern __complex128 cacoshq (__complex128) __quadmath_throw;
    124 extern __complex128 casinq (__complex128) __quadmath_throw;
    125 extern __complex128 casinhq (__complex128) __quadmath_throw;
    126 extern __complex128 catanq (__complex128) __quadmath_throw;
    127 extern __complex128 catanhq (__complex128) __quadmath_throw;
    128 extern __complex128 ccosq (__complex128) __quadmath_throw;
    129 extern __complex128 ccoshq (__complex128) __quadmath_throw;
    130 extern __complex128 cexpq (__complex128) __quadmath_throw;
    131 extern __complex128 cexpiq (__float128) __quadmath_throw;
    132 extern __complex128 clogq (__complex128) __quadmath_throw;
    133 extern __complex128 clog10q (__complex128) __quadmath_throw;
    134 extern __complex128 conjq (__complex128) __quadmath_throw;
    135 extern __complex128 cpowq (__complex128, __complex128) __quadmath_throw;
    136 extern __complex128 cprojq (__complex128) __quadmath_throw;
    137 extern __complex128 csinq (__complex128) __quadmath_throw;
    138 extern __complex128 csinhq (__complex128) __quadmath_throw;
    139 extern __complex128 csqrtq (__complex128) __quadmath_throw;
    140 extern __complex128 ctanq (__complex128) __quadmath_throw;
    141 extern __complex128 ctanhq (__complex128) __quadmath_throw;
    142 
    143 
    144 /* Prototypes for string <-> __float128 conversion functions */
    145 extern __float128 strtoflt128 (const char *, char **) __quadmath_throw;
    146 extern int quadmath_snprintf (char *str, size_t size,
    147 			      const char *format, ...) __quadmath_throw;
    148 
    149 
    150 /* Macros */
    151 #define FLT128_MAX 1.18973149535723176508575932662800702e4932Q
    152 #define FLT128_MIN 3.36210314311209350626267781732175260e-4932Q
    153 #define FLT128_EPSILON 1.92592994438723585305597794258492732e-34Q
    154 #define FLT128_DENORM_MIN 6.475175119438025110924438958227646552e-4966Q
    155 #define FLT128_MANT_DIG 113
    156 #define FLT128_MIN_EXP (-16381)
    157 #define FLT128_MAX_EXP 16384
    158 #define FLT128_DIG 33
    159 #define FLT128_MIN_10_EXP (-4931)
    160 #define FLT128_MAX_10_EXP 4932
    161 
    162 
    163 #define HUGE_VALQ __builtin_huge_valq()
    164 /* The following alternative is valid, but brings the warning:
    165    (floating constant exceeds range of __float128)  */
    166 /* #define HUGE_VALQ (__extension__ 0x1.0p32767Q) */
    167 
    168 #define M_Eq		2.718281828459045235360287471352662498Q  /* e */
    169 #define M_LOG2Eq	1.442695040888963407359924681001892137Q  /* log_2 e */
    170 #define M_LOG10Eq	0.434294481903251827651128918916605082Q  /* log_10 e */
    171 #define M_LN2q		0.693147180559945309417232121458176568Q  /* log_e 2 */
    172 #define M_LN10q		2.302585092994045684017991454684364208Q  /* log_e 10 */
    173 #define M_PIq		3.141592653589793238462643383279502884Q  /* pi */
    174 #define M_PI_2q		1.570796326794896619231321691639751442Q  /* pi/2 */
    175 #define M_PI_4q		0.785398163397448309615660845819875721Q  /* pi/4 */
    176 #define M_1_PIq		0.318309886183790671537767526745028724Q  /* 1/pi */
    177 #define M_2_PIq		0.636619772367581343075535053490057448Q  /* 2/pi */
    178 #define M_2_SQRTPIq	1.128379167095512573896158903121545172Q  /* 2/sqrt(pi) */
    179 #define M_SQRT2q	1.414213562373095048801688724209698079Q  /* sqrt(2) */
    180 #define M_SQRT1_2q	0.707106781186547524400844362104849039Q  /* 1/sqrt(2) */
    181 
    182 #define __quadmath_extern_inline \
    183   extern inline __attribute__ ((__gnu_inline__))
    184 
    185 __quadmath_extern_inline __float128
    186 __quadmath_nth (cimagq (__complex128 __z))
    187 {
    188   return __imag__ __z;
    189 }
    190 
    191 __quadmath_extern_inline __float128
    192 __quadmath_nth (crealq (__complex128 __z))
    193 {
    194   return __real__ __z;
    195 }
    196 
    197 __quadmath_extern_inline __complex128
    198 __quadmath_nth (conjq (__complex128 __z))
    199 {
    200   return __extension__ ~__z;
    201 }
    202 
    203 #ifdef __cplusplus
    204 }
    205 #endif
    206 
    207 #endif
    208