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| Rev | Author | Line No. | Line |
|---|---|---|---|
| 4349 | Serge | 1 | #ifndef _MATH_H_ |
| 2 | |||
| 3 | #define _MATH_H_ |
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| 4 | |||
| 5 | #include |
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| 6536 | serge | 6 | #include |
| 4349 | Serge | 7 | #include |
| 8 | #include "_ansi.h" |
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| 9 | |||
| 10 | _BEGIN_STD_C |
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| 11 | |||
| 12 | /* __dmath, __fmath, and __ldmath are only here for backwards compatibility |
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| 13 | * in case any code used them. They are no longer used by Newlib, itself, |
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| 14 | * other than legacy. */ |
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| 15 | union __dmath |
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| 16 | { |
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| 17 | double d; |
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| 18 | __ULong i[2]; |
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| 19 | }; |
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| 20 | |||
| 21 | union __fmath |
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| 22 | { |
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| 23 | float f; |
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| 24 | __ULong i[1]; |
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| 25 | }; |
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| 26 | |||
| 27 | #if defined(_HAVE_LONG_DOUBLE) |
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| 28 | union __ldmath |
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| 29 | { |
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| 30 | long double ld; |
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| 31 | __ULong i[4]; |
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| 32 | }; |
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| 33 | #endif |
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| 34 | |||
| 35 | /* Natural log of 2 */ |
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| 36 | #define _M_LN2 0.693147180559945309417 |
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| 37 | |||
| 4921 | Serge | 38 | #if __GNUC_PREREQ (3, 3) |
| 4349 | Serge | 39 | /* gcc >= 3.3 implicitly defines builtins for HUGE_VALx values. */ |
| 40 | |||
| 41 | # ifndef HUGE_VAL |
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| 42 | # define HUGE_VAL (__builtin_huge_val()) |
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| 43 | # endif |
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| 44 | |||
| 45 | # ifndef HUGE_VALF |
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| 46 | # define HUGE_VALF (__builtin_huge_valf()) |
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| 47 | # endif |
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| 48 | |||
| 49 | # ifndef HUGE_VALL |
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| 50 | # define HUGE_VALL (__builtin_huge_vall()) |
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| 51 | # endif |
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| 52 | |||
| 53 | # ifndef INFINITY |
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| 54 | # define INFINITY (__builtin_inff()) |
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| 55 | # endif |
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| 56 | |||
| 57 | # ifndef NAN |
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| 58 | # define NAN (__builtin_nanf("")) |
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| 59 | # endif |
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| 60 | |||
| 61 | #else /* !gcc >= 3.3 */ |
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| 62 | |||
| 63 | /* No builtins. Use fixed defines instead. (All 3 HUGE plus the INFINITY |
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| 64 | * and NAN macros are required to be constant expressions. Using a variable-- |
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| 65 | * even a static const--does not meet this requirement, as it cannot be |
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| 66 | * evaluated at translation time.) |
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| 67 | * The infinities are done using numbers that are far in excess of |
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| 68 | * something that would be expected to be encountered in a floating-point |
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| 69 | * implementation. (A more certain way uses values from float.h, but that is |
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| 70 | * avoided because system includes are not supposed to include each other.) |
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| 71 | * This method might produce warnings from some compilers. (It does in |
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| 72 | * newer GCCs, but not for ones that would hit this #else.) If this happens, |
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| 73 | * please report details to the Newlib mailing list. */ |
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| 74 | |||
| 75 | #ifndef HUGE_VAL |
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| 76 | #define HUGE_VAL (1.0e999999999) |
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| 77 | #endif |
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| 78 | |||
| 79 | #ifndef HUGE_VALF |
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| 80 | #define HUGE_VALF (1.0e999999999F) |
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| 81 | #endif |
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| 82 | |||
| 83 | #if !defined(HUGE_VALL) && defined(_HAVE_LONG_DOUBLE) |
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| 84 | #define HUGE_VALL (1.0e999999999L) |
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| 85 | #endif |
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| 86 | |||
| 87 | #if !defined(INFINITY) |
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| 88 | #define INFINITY (HUGE_VALF) |
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| 89 | #endif |
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| 90 | |||
| 91 | #if !defined(NAN) |
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| 92 | #if defined(__GNUC__) && defined(__cplusplus) |
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| 93 | /* Exception: older g++ versions warn about the divide by 0 used in the |
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| 94 | * normal case (even though older gccs do not). This trick suppresses the |
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| 95 | * warning, but causes errors for plain gcc, so is only used in the one |
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| 96 | * special case. */ |
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| 97 | static const union { __ULong __i[1]; float __d; } __Nanf = {0x7FC00000}; |
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| 98 | #define NAN (__Nanf.__d) |
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| 99 | #else |
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| 100 | #define NAN (0.0F/0.0F) |
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| 101 | #endif |
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| 102 | #endif |
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| 103 | |||
| 104 | #endif /* !gcc >= 3.3 */ |
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| 105 | |||
| 106 | /* Reentrant ANSI C functions. */ |
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| 107 | |||
| 108 | #ifndef __math_68881 |
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| 109 | extern double atan _PARAMS((double)); |
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| 110 | extern double cos _PARAMS((double)); |
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| 111 | extern double sin _PARAMS((double)); |
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| 112 | extern double tan _PARAMS((double)); |
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| 113 | extern double tanh _PARAMS((double)); |
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| 114 | extern double frexp _PARAMS((double, int *)); |
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| 115 | extern double modf _PARAMS((double, double *)); |
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| 116 | extern double ceil _PARAMS((double)); |
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| 117 | extern double fabs _PARAMS((double)); |
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| 118 | extern double floor _PARAMS((double)); |
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| 119 | #endif /* ! defined (__math_68881) */ |
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| 120 | |||
| 121 | /* Non reentrant ANSI C functions. */ |
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| 122 | |||
| 123 | #ifndef _REENT_ONLY |
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| 124 | #ifndef __math_68881 |
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| 125 | extern double acos _PARAMS((double)); |
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| 126 | extern double asin _PARAMS((double)); |
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| 127 | extern double atan2 _PARAMS((double, double)); |
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| 128 | extern double cosh _PARAMS((double)); |
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| 129 | extern double sinh _PARAMS((double)); |
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| 130 | extern double exp _PARAMS((double)); |
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| 131 | extern double ldexp _PARAMS((double, int)); |
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| 132 | extern double log _PARAMS((double)); |
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| 133 | extern double log10 _PARAMS((double)); |
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| 134 | extern double pow _PARAMS((double, double)); |
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| 135 | extern double sqrt _PARAMS((double)); |
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| 136 | extern double fmod _PARAMS((double, double)); |
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| 137 | #endif /* ! defined (__math_68881) */ |
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| 138 | #endif /* ! defined (_REENT_ONLY) */ |
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| 139 | |||
| 6536 | serge | 140 | #if __ISO_C_VISIBLE >= 1999 |
| 4349 | Serge | 141 | /* ISO C99 types and macros. */ |
| 142 | |||
| 4921 | Serge | 143 | /* FIXME: FLT_EVAL_METHOD should somehow be gotten from float.h (which is hard, |
| 144 | * considering that the standard says the includes it defines should not |
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| 145 | * include other includes that it defines) and that value used. (This can be |
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| 146 | * solved, but autoconf has a bug which makes the solution more difficult, so |
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| 147 | * it has been skipped for now.) */ |
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| 148 | #if !defined(FLT_EVAL_METHOD) && defined(__FLT_EVAL_METHOD__) |
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| 149 | #define FLT_EVAL_METHOD __FLT_EVAL_METHOD__ |
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| 150 | #define __TMP_FLT_EVAL_METHOD |
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| 4349 | Serge | 151 | #endif /* FLT_EVAL_METHOD */ |
| 4921 | Serge | 152 | #if defined FLT_EVAL_METHOD |
| 153 | #if FLT_EVAL_METHOD == 0 |
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| 154 | typedef float float_t; |
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| 155 | typedef double double_t; |
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| 156 | #elif FLT_EVAL_METHOD == 1 |
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| 157 | typedef double float_t; |
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| 158 | typedef double double_t; |
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| 159 | #elif FLT_EVAL_METHOD == 2 |
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| 160 | typedef long double float_t; |
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| 161 | typedef long double double_t; |
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| 162 | #else |
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| 163 | /* Implementation-defined. Assume float_t and double_t have been |
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| 164 | * defined previously for this configuration (e.g. config.h). */ |
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| 165 | #endif |
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| 166 | #else |
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| 167 | /* Assume basic definitions. */ |
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| 168 | typedef float float_t; |
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| 169 | typedef double double_t; |
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| 170 | #endif |
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| 171 | #if defined(__TMP_FLT_EVAL_METHOD) |
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| 172 | #undef FLT_EVAL_METHOD |
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| 173 | #endif |
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| 4349 | Serge | 174 | |
| 175 | #define FP_NAN 0 |
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| 176 | #define FP_INFINITE 1 |
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| 177 | #define FP_ZERO 2 |
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| 178 | #define FP_SUBNORMAL 3 |
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| 179 | #define FP_NORMAL 4 |
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| 180 | |||
| 181 | #ifndef FP_ILOGB0 |
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| 182 | # define FP_ILOGB0 (-INT_MAX) |
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| 183 | #endif |
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| 184 | #ifndef FP_ILOGBNAN |
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| 185 | # define FP_ILOGBNAN INT_MAX |
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| 186 | #endif |
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| 187 | |||
| 188 | #ifndef MATH_ERRNO |
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| 189 | # define MATH_ERRNO 1 |
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| 190 | #endif |
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| 191 | #ifndef MATH_ERREXCEPT |
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| 192 | # define MATH_ERREXCEPT 2 |
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| 193 | #endif |
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| 194 | #ifndef math_errhandling |
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| 195 | # define math_errhandling MATH_ERRNO |
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| 196 | #endif |
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| 197 | |||
| 198 | extern int __isinff (float x); |
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| 199 | extern int __isinfd (double x); |
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| 200 | extern int __isnanf (float x); |
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| 201 | extern int __isnand (double x); |
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| 202 | extern int __fpclassifyf (float x); |
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| 203 | extern int __fpclassifyd (double x); |
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| 204 | extern int __signbitf (float x); |
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| 205 | extern int __signbitd (double x); |
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| 206 | |||
| 207 | /* Note: isinf and isnan were once functions in newlib that took double |
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| 208 | * arguments. C99 specifies that these names are reserved for macros |
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| 209 | * supporting multiple floating point types. Thus, they are |
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| 210 | * now defined as macros. Implementations of the old functions |
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| 211 | * taking double arguments still exist for compatibility purposes |
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| 212 | * (prototypes for them are in |
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| 213 | |||
| 6536 | serge | 214 | #if __GNUC_PREREQ (4, 4) |
| 215 | #define fpclassify(__x) (__builtin_fpclassify (FP_NAN, FP_INFINITE, \ |
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| 216 | FP_NORMAL, FP_SUBNORMAL, \ |
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| 217 | FP_ZERO, __x)) |
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| 218 | #ifndef isfinite |
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| 219 | #define isfinite(__x) (__builtin_isfinite (__x)) |
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| 220 | #endif |
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| 221 | #ifndef isinf |
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| 222 | #define isinf(__x) (__builtin_isinf_sign (__x)) |
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| 223 | #endif |
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| 224 | #ifndef isnan |
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| 225 | #define isnan(__x) (__builtin_isnan (__x)) |
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| 226 | #endif |
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| 227 | #define isnormal(__x) (__builtin_isnormal (__x)) |
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| 228 | #else |
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| 229 | #define fpclassify(__x) \ |
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| 230 | ((sizeof(__x) == sizeof(float)) ? __fpclassifyf(__x) : \ |
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| 231 | __fpclassifyd(__x)) |
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| 232 | #ifndef isfinite |
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| 233 | #define isfinite(__y) \ |
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| 234 | (__extension__ ({int __cy = fpclassify(__y); \ |
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| 235 | __cy != FP_INFINITE && __cy != FP_NAN;})) |
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| 236 | #endif |
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| 237 | #ifndef isinf |
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| 238 | #define isinf(__x) (fpclassify(__x) == FP_INFINITE) |
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| 239 | #endif |
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| 240 | #ifndef isnan |
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| 241 | #define isnan(__x) (fpclassify(__x) == FP_NAN) |
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| 242 | #endif |
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| 243 | #define isnormal(__x) (fpclassify(__x) == FP_NORMAL) |
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| 4349 | Serge | 244 | #endif |
| 245 | |||
| 6536 | serge | 246 | #if __GNUC_PREREQ (4, 0) |
| 247 | #if defined(_HAVE_LONG_DOUBLE) |
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| 248 | #define signbit(__x) \ |
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| 249 | ((sizeof(__x) == sizeof(float)) ? __builtin_signbitf(__x) : \ |
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| 250 | (sizeof(__x) == sizeof(double)) ? __builtin_signbit (__x) : \ |
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| 251 | __builtin_signbitl(__x)) |
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| 252 | #else |
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| 253 | #define signbit(__x) \ |
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| 254 | ((sizeof(__x) == sizeof(float)) ? __builtin_signbitf(__x) : \ |
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| 255 | __builtin_signbit (__x)) |
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| 256 | #endif |
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| 257 | #else |
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| 258 | #define signbit(__x) \ |
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| 4349 | Serge | 259 | ((sizeof(__x) == sizeof(float)) ? __signbitf(__x) : \ |
| 260 | __signbitd(__x)) |
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| 6536 | serge | 261 | #endif |
| 4349 | Serge | 262 | |
| 6536 | serge | 263 | #if __GNUC_PREREQ (2, 97) |
| 264 | #define isgreater(__x,__y) (__builtin_isgreater (__x, __y)) |
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| 265 | #define isgreaterequal(__x,__y) (__builtin_isgreaterequal (__x, __y)) |
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| 266 | #define isless(__x,__y) (__builtin_isless (__x, __y)) |
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| 267 | #define islessequal(__x,__y) (__builtin_islessequal (__x, __y)) |
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| 268 | #define islessgreater(__x,__y) (__builtin_islessgreater (__x, __y)) |
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| 269 | #define isunordered(__x,__y) (__builtin_isunordered (__x, __y)) |
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| 270 | #else |
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| 4349 | Serge | 271 | #define isgreater(x,y) \ |
| 272 | (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
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| 273 | !isunordered(__x,__y) && (__x > __y);})) |
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| 274 | #define isgreaterequal(x,y) \ |
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| 275 | (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
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| 276 | !isunordered(__x,__y) && (__x >= __y);})) |
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| 277 | #define isless(x,y) \ |
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| 278 | (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
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| 279 | !isunordered(__x,__y) && (__x < __y);})) |
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| 280 | #define islessequal(x,y) \ |
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| 281 | (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
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| 282 | !isunordered(__x,__y) && (__x <= __y);})) |
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| 283 | #define islessgreater(x,y) \ |
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| 284 | (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
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| 285 | !isunordered(__x,__y) && (__x < __y || __x > __y);})) |
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| 286 | |||
| 287 | #define isunordered(a,b) \ |
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| 288 | (__extension__ ({__typeof__(a) __a = (a); __typeof__(b) __b = (b); \ |
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| 289 | fpclassify(__a) == FP_NAN || fpclassify(__b) == FP_NAN;})) |
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| 6536 | serge | 290 | #endif |
| 4349 | Serge | 291 | |
| 6099 | serge | 292 | /* Non ANSI long double precision functions. */ |
| 293 | |||
| 294 | extern int finitel _PARAMS((long double)); |
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| 295 | |||
| 4349 | Serge | 296 | /* Non ANSI double precision functions. */ |
| 297 | |||
| 298 | extern double infinity _PARAMS((void)); |
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| 299 | extern double nan _PARAMS((const char *)); |
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| 300 | extern int finite _PARAMS((double)); |
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| 301 | extern double copysign _PARAMS((double, double)); |
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| 302 | extern double logb _PARAMS((double)); |
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| 303 | extern int ilogb _PARAMS((double)); |
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| 304 | |||
| 305 | extern double asinh _PARAMS((double)); |
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| 306 | extern double cbrt _PARAMS((double)); |
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| 307 | extern double nextafter _PARAMS((double, double)); |
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| 308 | extern double rint _PARAMS((double)); |
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| 309 | extern double scalbn _PARAMS((double, int)); |
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| 310 | |||
| 311 | extern double exp2 _PARAMS((double)); |
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| 312 | extern double scalbln _PARAMS((double, long int)); |
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| 313 | extern double tgamma _PARAMS((double)); |
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| 314 | extern double nearbyint _PARAMS((double)); |
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| 315 | extern long int lrint _PARAMS((double)); |
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| 6099 | serge | 316 | extern long long int llrint _PARAMS((double)); |
| 4349 | Serge | 317 | extern double round _PARAMS((double)); |
| 318 | extern long int lround _PARAMS((double)); |
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| 319 | extern long long int llround _PARAMS((double)); |
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| 320 | extern double trunc _PARAMS((double)); |
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| 321 | extern double remquo _PARAMS((double, double, int *)); |
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| 322 | extern double fdim _PARAMS((double, double)); |
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| 323 | extern double fmax _PARAMS((double, double)); |
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| 324 | extern double fmin _PARAMS((double, double)); |
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| 325 | extern double fma _PARAMS((double, double, double)); |
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| 326 | |||
| 327 | #ifndef __math_68881 |
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| 328 | extern double log1p _PARAMS((double)); |
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| 329 | extern double expm1 _PARAMS((double)); |
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| 330 | #endif /* ! defined (__math_68881) */ |
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| 331 | |||
| 332 | #ifndef _REENT_ONLY |
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| 333 | extern double acosh _PARAMS((double)); |
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| 334 | extern double atanh _PARAMS((double)); |
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| 335 | extern double remainder _PARAMS((double, double)); |
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| 336 | extern double gamma _PARAMS((double)); |
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| 337 | extern double lgamma _PARAMS((double)); |
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| 338 | extern double erf _PARAMS((double)); |
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| 339 | extern double erfc _PARAMS((double)); |
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| 340 | extern double log2 _PARAMS((double)); |
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| 341 | #if !defined(__cplusplus) |
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| 342 | #define log2(x) (log (x) / _M_LN2) |
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| 343 | #endif |
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| 344 | |||
| 345 | #ifndef __math_68881 |
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| 346 | extern double hypot _PARAMS((double, double)); |
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| 347 | #endif |
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| 348 | |||
| 349 | #endif /* ! defined (_REENT_ONLY) */ |
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| 350 | |||
| 351 | /* Single precision versions of ANSI functions. */ |
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| 352 | |||
| 353 | extern float atanf _PARAMS((float)); |
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| 354 | extern float cosf _PARAMS((float)); |
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| 355 | extern float sinf _PARAMS((float)); |
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| 356 | extern float tanf _PARAMS((float)); |
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| 357 | extern float tanhf _PARAMS((float)); |
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| 358 | extern float frexpf _PARAMS((float, int *)); |
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| 359 | extern float modff _PARAMS((float, float *)); |
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| 360 | extern float ceilf _PARAMS((float)); |
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| 361 | extern float fabsf _PARAMS((float)); |
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| 362 | extern float floorf _PARAMS((float)); |
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| 363 | |||
| 364 | #ifndef _REENT_ONLY |
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| 365 | extern float acosf _PARAMS((float)); |
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| 366 | extern float asinf _PARAMS((float)); |
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| 367 | extern float atan2f _PARAMS((float, float)); |
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| 368 | extern float coshf _PARAMS((float)); |
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| 369 | extern float sinhf _PARAMS((float)); |
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| 370 | extern float expf _PARAMS((float)); |
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| 371 | extern float ldexpf _PARAMS((float, int)); |
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| 372 | extern float logf _PARAMS((float)); |
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| 373 | extern float log10f _PARAMS((float)); |
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| 374 | extern float powf _PARAMS((float, float)); |
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| 375 | extern float sqrtf _PARAMS((float)); |
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| 376 | extern float fmodf _PARAMS((float, float)); |
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| 377 | #endif /* ! defined (_REENT_ONLY) */ |
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| 378 | |||
| 379 | /* Other single precision functions. */ |
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| 380 | |||
| 381 | extern float exp2f _PARAMS((float)); |
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| 382 | extern float scalblnf _PARAMS((float, long int)); |
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| 383 | extern float tgammaf _PARAMS((float)); |
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| 384 | extern float nearbyintf _PARAMS((float)); |
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| 385 | extern long int lrintf _PARAMS((float)); |
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| 6099 | serge | 386 | extern long long int llrintf _PARAMS((float)); |
| 4349 | Serge | 387 | extern float roundf _PARAMS((float)); |
| 388 | extern long int lroundf _PARAMS((float)); |
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| 389 | extern long long int llroundf _PARAMS((float)); |
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| 390 | extern float truncf _PARAMS((float)); |
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| 391 | extern float remquof _PARAMS((float, float, int *)); |
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| 392 | extern float fdimf _PARAMS((float, float)); |
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| 393 | extern float fmaxf _PARAMS((float, float)); |
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| 394 | extern float fminf _PARAMS((float, float)); |
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| 395 | extern float fmaf _PARAMS((float, float, float)); |
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| 396 | |||
| 397 | extern float infinityf _PARAMS((void)); |
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| 398 | extern float nanf _PARAMS((const char *)); |
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| 399 | extern int finitef _PARAMS((float)); |
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| 400 | extern float copysignf _PARAMS((float, float)); |
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| 401 | extern float logbf _PARAMS((float)); |
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| 402 | extern int ilogbf _PARAMS((float)); |
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| 403 | |||
| 404 | extern float asinhf _PARAMS((float)); |
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| 405 | extern float cbrtf _PARAMS((float)); |
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| 406 | extern float nextafterf _PARAMS((float, float)); |
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| 407 | extern float rintf _PARAMS((float)); |
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| 408 | extern float scalbnf _PARAMS((float, int)); |
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| 409 | extern float log1pf _PARAMS((float)); |
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| 410 | extern float expm1f _PARAMS((float)); |
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| 411 | |||
| 412 | #ifndef _REENT_ONLY |
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| 413 | extern float acoshf _PARAMS((float)); |
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| 414 | extern float atanhf _PARAMS((float)); |
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| 415 | extern float remainderf _PARAMS((float, float)); |
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| 416 | extern float gammaf _PARAMS((float)); |
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| 417 | extern float lgammaf _PARAMS((float)); |
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| 418 | extern float erff _PARAMS((float)); |
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| 419 | extern float erfcf _PARAMS((float)); |
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| 420 | extern float log2f _PARAMS((float)); |
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| 421 | extern float hypotf _PARAMS((float, float)); |
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| 422 | #endif /* ! defined (_REENT_ONLY) */ |
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| 423 | |||
| 6536 | serge | 424 | /* Newlib doesn't fully support long double math functions so far. |
| 425 | On platforms where long double equals double the long double functions |
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| 426 | simply call the double functions. On Cygwin the long double functions |
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| 427 | are implemented independently from newlib to be able to use optimized |
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| 428 | assembler functions despite using the Microsoft x86_64 ABI. */ |
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| 429 | #if defined (_LDBL_EQ_DBL) || defined (__CYGWIN__) |
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| 4349 | Serge | 430 | /* Reentrant ANSI C functions. */ |
| 431 | #ifndef __math_68881 |
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| 432 | extern long double atanl _PARAMS((long double)); |
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| 433 | extern long double cosl _PARAMS((long double)); |
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| 434 | extern long double sinl _PARAMS((long double)); |
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| 435 | extern long double tanl _PARAMS((long double)); |
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| 436 | extern long double tanhl _PARAMS((long double)); |
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| 6099 | serge | 437 | extern long double frexpl _PARAMS((long double, int *)); |
| 4349 | Serge | 438 | extern long double modfl _PARAMS((long double, long double *)); |
| 439 | extern long double ceill _PARAMS((long double)); |
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| 440 | extern long double fabsl _PARAMS((long double)); |
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| 441 | extern long double floorl _PARAMS((long double)); |
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| 442 | extern long double log1pl _PARAMS((long double)); |
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| 443 | extern long double expm1l _PARAMS((long double)); |
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| 444 | #endif /* ! defined (__math_68881) */ |
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| 445 | /* Non reentrant ANSI C functions. */ |
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| 446 | #ifndef _REENT_ONLY |
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| 447 | #ifndef __math_68881 |
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| 448 | extern long double acosl _PARAMS((long double)); |
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| 449 | extern long double asinl _PARAMS((long double)); |
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| 450 | extern long double atan2l _PARAMS((long double, long double)); |
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| 451 | extern long double coshl _PARAMS((long double)); |
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| 452 | extern long double sinhl _PARAMS((long double)); |
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| 453 | extern long double expl _PARAMS((long double)); |
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| 454 | extern long double ldexpl _PARAMS((long double, int)); |
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| 455 | extern long double logl _PARAMS((long double)); |
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| 456 | extern long double log10l _PARAMS((long double)); |
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| 457 | extern long double powl _PARAMS((long double, long double)); |
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| 458 | extern long double sqrtl _PARAMS((long double)); |
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| 459 | extern long double fmodl _PARAMS((long double, long double)); |
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| 460 | extern long double hypotl _PARAMS((long double, long double)); |
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| 461 | #endif /* ! defined (__math_68881) */ |
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| 462 | #endif /* ! defined (_REENT_ONLY) */ |
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| 463 | extern long double copysignl _PARAMS((long double, long double)); |
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| 464 | extern long double nanl _PARAMS((const char *)); |
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| 465 | extern int ilogbl _PARAMS((long double)); |
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| 466 | extern long double asinhl _PARAMS((long double)); |
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| 467 | extern long double cbrtl _PARAMS((long double)); |
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| 468 | extern long double nextafterl _PARAMS((long double, long double)); |
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| 6099 | serge | 469 | extern float nexttowardf _PARAMS((float, long double)); |
| 470 | extern double nexttoward _PARAMS((double, long double)); |
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| 471 | extern long double nexttowardl _PARAMS((long double, long double)); |
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| 472 | extern long double logbl _PARAMS((long double)); |
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| 473 | extern long double log2l _PARAMS((long double)); |
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| 4349 | Serge | 474 | extern long double rintl _PARAMS((long double)); |
| 475 | extern long double scalbnl _PARAMS((long double, int)); |
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| 476 | extern long double exp2l _PARAMS((long double)); |
||
| 477 | extern long double scalblnl _PARAMS((long double, long)); |
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| 478 | extern long double tgammal _PARAMS((long double)); |
||
| 479 | extern long double nearbyintl _PARAMS((long double)); |
||
| 480 | extern long int lrintl _PARAMS((long double)); |
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| 481 | extern long long int llrintl _PARAMS((long double)); |
||
| 482 | extern long double roundl _PARAMS((long double)); |
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| 483 | extern long lroundl _PARAMS((long double)); |
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| 6099 | serge | 484 | extern long long int llroundl _PARAMS((long double)); |
| 4349 | Serge | 485 | extern long double truncl _PARAMS((long double)); |
| 486 | extern long double remquol _PARAMS((long double, long double, int *)); |
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| 487 | extern long double fdiml _PARAMS((long double, long double)); |
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| 488 | extern long double fmaxl _PARAMS((long double, long double)); |
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| 489 | extern long double fminl _PARAMS((long double, long double)); |
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| 490 | extern long double fmal _PARAMS((long double, long double, long double)); |
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| 491 | #ifndef _REENT_ONLY |
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| 492 | extern long double acoshl _PARAMS((long double)); |
||
| 493 | extern long double atanhl _PARAMS((long double)); |
||
| 494 | extern long double remainderl _PARAMS((long double, long double)); |
||
| 495 | extern long double lgammal _PARAMS((long double)); |
||
| 496 | extern long double erfl _PARAMS((long double)); |
||
| 497 | extern long double erfcl _PARAMS((long double)); |
||
| 498 | #endif /* ! defined (_REENT_ONLY) */ |
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| 6536 | serge | 499 | #else /* !_LDBL_EQ_DBL && !__CYGWIN__ */ |
| 6099 | serge | 500 | extern long double hypotl _PARAMS((long double, long double)); |
| 501 | extern long double sqrtl _PARAMS((long double)); |
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| 4349 | Serge | 502 | #ifdef __i386__ |
| 503 | /* Other long double precision functions. */ |
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| 504 | extern _LONG_DOUBLE rintl _PARAMS((_LONG_DOUBLE)); |
||
| 505 | extern long int lrintl _PARAMS((_LONG_DOUBLE)); |
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| 6099 | serge | 506 | extern long long int llrintl _PARAMS((_LONG_DOUBLE)); |
| 4349 | Serge | 507 | #endif /* __i386__ */ |
| 6536 | serge | 508 | #endif /* !_LDBL_EQ_DBL && !__CYGWIN__ */ |
| 4349 | Serge | 509 | |
| 6536 | serge | 510 | #endif /* __ISO_C_VISIBLE >= 1999 */ |
| 4349 | Serge | 511 | |
| 6536 | serge | 512 | #if __MISC_VISIBLE |
| 4349 | Serge | 513 | extern double drem _PARAMS((double, double)); |
| 6536 | serge | 514 | extern float dremf _PARAMS((float, float)); |
| 515 | #ifdef __CYGWIN__ |
||
| 516 | extern float dreml _PARAMS((long double, long double)); |
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| 517 | #endif /* __CYGWIN__ */ |
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| 4349 | Serge | 518 | extern double gamma_r _PARAMS((double, int *)); |
| 519 | extern double lgamma_r _PARAMS((double, int *)); |
||
| 6536 | serge | 520 | extern float gammaf_r _PARAMS((float, int *)); |
| 521 | extern float lgammaf_r _PARAMS((float, int *)); |
||
| 522 | #endif |
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| 4349 | Serge | 523 | |
| 6536 | serge | 524 | #if __MISC_VISIBLE || __XSI_VISIBLE |
| 4349 | Serge | 525 | extern double y0 _PARAMS((double)); |
| 526 | extern double y1 _PARAMS((double)); |
||
| 527 | extern double yn _PARAMS((int, double)); |
||
| 528 | extern double j0 _PARAMS((double)); |
||
| 529 | extern double j1 _PARAMS((double)); |
||
| 530 | extern double jn _PARAMS((int, double)); |
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| 6536 | serge | 531 | #endif |
| 4349 | Serge | 532 | |
| 6536 | serge | 533 | #if __MISC_VISIBLE || __XSI_VISIBLE >= 600 |
| 4349 | Serge | 534 | extern float y0f _PARAMS((float)); |
| 535 | extern float y1f _PARAMS((float)); |
||
| 536 | extern float ynf _PARAMS((int, float)); |
||
| 537 | extern float j0f _PARAMS((float)); |
||
| 538 | extern float j1f _PARAMS((float)); |
||
| 539 | extern float jnf _PARAMS((int, float)); |
||
| 6536 | serge | 540 | #endif |
| 4349 | Serge | 541 | |
| 542 | /* GNU extensions */ |
||
| 6536 | serge | 543 | #if __GNU_VISIBLE |
| 544 | extern void sincos _PARAMS((double, double *, double *)); |
||
| 545 | extern void sincosf _PARAMS((float, float *, float *)); |
||
| 546 | #ifdef __CYGWIN__ |
||
| 547 | extern void sincosl _PARAMS((long double, long double *, long double *)); |
||
| 548 | #endif /* __CYGWIN__ */ |
||
| 4349 | Serge | 549 | # ifndef exp10 |
| 550 | extern double exp10 _PARAMS((double)); |
||
| 551 | # endif |
||
| 552 | # ifndef pow10 |
||
| 553 | extern double pow10 _PARAMS((double)); |
||
| 554 | # endif |
||
| 555 | # ifndef exp10f |
||
| 556 | extern float exp10f _PARAMS((float)); |
||
| 557 | # endif |
||
| 558 | # ifndef pow10f |
||
| 559 | extern float pow10f _PARAMS((float)); |
||
| 560 | # endif |
||
| 6536 | serge | 561 | #ifdef __CYGWIN__ |
| 562 | # ifndef exp10l |
||
| 563 | extern float exp10l _PARAMS((float)); |
||
| 564 | # endif |
||
| 565 | # ifndef pow10l |
||
| 566 | extern float pow10l _PARAMS((float)); |
||
| 567 | # endif |
||
| 568 | #endif /* __CYGWIN__ */ |
||
| 569 | #endif /* __GNU_VISIBLE */ |
||
| 4349 | Serge | 570 | |
| 6536 | serge | 571 | #if __MISC_VISIBLE || __XSI_VISIBLE |
| 4349 | Serge | 572 | /* The gamma functions use a global variable, signgam. */ |
| 573 | #ifndef _REENT_ONLY |
||
| 574 | #define signgam (*__signgam()) |
||
| 575 | extern int *__signgam _PARAMS((void)); |
||
| 576 | #endif /* ! defined (_REENT_ONLY) */ |
||
| 577 | |||
| 578 | #define __signgam_r(ptr) _REENT_SIGNGAM(ptr) |
||
| 6536 | serge | 579 | #endif /* __MISC_VISIBLE || __XSI_VISIBLE */ |
| 4349 | Serge | 580 | |
| 6536 | serge | 581 | #if __SVID_VISIBLE |
| 4349 | Serge | 582 | /* The exception structure passed to the matherr routine. */ |
| 583 | /* We have a problem when using C++ since `exception' is a reserved |
||
| 584 | name in C++. */ |
||
| 585 | #ifdef __cplusplus |
||
| 586 | struct __exception |
||
| 587 | #else |
||
| 588 | struct exception |
||
| 589 | #endif |
||
| 590 | { |
||
| 591 | int type; |
||
| 592 | char *name; |
||
| 593 | double arg1; |
||
| 594 | double arg2; |
||
| 595 | double retval; |
||
| 596 | int err; |
||
| 597 | }; |
||
| 598 | |||
| 599 | #ifdef __cplusplus |
||
| 600 | extern int matherr _PARAMS((struct __exception *e)); |
||
| 601 | #else |
||
| 602 | extern int matherr _PARAMS((struct exception *e)); |
||
| 603 | #endif |
||
| 604 | |||
| 605 | /* Values for the type field of struct exception. */ |
||
| 606 | |||
| 607 | #define DOMAIN 1 |
||
| 608 | #define SING 2 |
||
| 609 | #define OVERFLOW 3 |
||
| 610 | #define UNDERFLOW 4 |
||
| 611 | #define TLOSS 5 |
||
| 612 | #define PLOSS 6 |
||
| 613 | |||
| 6536 | serge | 614 | #endif /* __SVID_VISIBLE */ |
| 6099 | serge | 615 | |
| 4349 | Serge | 616 | /* Useful constants. */ |
| 617 | |||
| 6536 | serge | 618 | #if __BSD_VISIBLE || __XSI_VISIBLE >= 500 |
| 6099 | serge | 619 | |
| 4349 | Serge | 620 | #define MAXFLOAT 3.40282347e+38F |
| 621 | |||
| 622 | #define M_E 2.7182818284590452354 |
||
| 623 | #define M_LOG2E 1.4426950408889634074 |
||
| 624 | #define M_LOG10E 0.43429448190325182765 |
||
| 625 | #define M_LN2 _M_LN2 |
||
| 626 | #define M_LN10 2.30258509299404568402 |
||
| 627 | #define M_PI 3.14159265358979323846 |
||
| 628 | #define M_PI_2 1.57079632679489661923 |
||
| 629 | #define M_PI_4 0.78539816339744830962 |
||
| 630 | #define M_1_PI 0.31830988618379067154 |
||
| 631 | #define M_2_PI 0.63661977236758134308 |
||
| 632 | #define M_2_SQRTPI 1.12837916709551257390 |
||
| 633 | #define M_SQRT2 1.41421356237309504880 |
||
| 634 | #define M_SQRT1_2 0.70710678118654752440 |
||
| 6099 | serge | 635 | |
| 636 | #endif |
||
| 637 | |||
| 6536 | serge | 638 | #if __BSD_VISIBLE |
| 6099 | serge | 639 | |
| 640 | #define M_TWOPI (M_PI * 2.0) |
||
| 641 | #define M_3PI_4 2.3561944901923448370E0 |
||
| 642 | #define M_SQRTPI 1.77245385090551602792981 |
||
| 4349 | Serge | 643 | #define M_LN2LO 1.9082149292705877000E-10 |
| 644 | #define M_LN2HI 6.9314718036912381649E-1 |
||
| 645 | #define M_SQRT3 1.73205080756887719000 |
||
| 646 | #define M_IVLN10 0.43429448190325182765 /* 1 / log(10) */ |
||
| 647 | #define M_LOG2_E _M_LN2 |
||
| 648 | #define M_INVLN2 1.4426950408889633870E0 /* 1 / log(2) */ |
||
| 649 | |||
| 650 | /* Global control over fdlibm error handling. */ |
||
| 651 | |||
| 652 | enum __fdlibm_version |
||
| 653 | { |
||
| 654 | __fdlibm_ieee = -1, |
||
| 655 | __fdlibm_svid, |
||
| 656 | __fdlibm_xopen, |
||
| 657 | __fdlibm_posix |
||
| 658 | }; |
||
| 659 | |||
| 660 | #define _LIB_VERSION_TYPE enum __fdlibm_version |
||
| 661 | #define _LIB_VERSION __fdlib_version |
||
| 662 | |||
| 663 | extern __IMPORT _LIB_VERSION_TYPE _LIB_VERSION; |
||
| 664 | |||
| 665 | #define _IEEE_ __fdlibm_ieee |
||
| 666 | #define _SVID_ __fdlibm_svid |
||
| 667 | #define _XOPEN_ __fdlibm_xopen |
||
| 668 | #define _POSIX_ __fdlibm_posix |
||
| 669 | |||
| 6536 | serge | 670 | #endif /* __BSD_VISIBLE */ |
| 4349 | Serge | 671 | |
| 672 | _END_STD_C |
||
| 673 | |||
| 674 | #ifdef __FAST_MATH__ |
||
| 675 | #include |
||
| 676 | #endif |
||
| 677 | |||
| 678 | #endif /* _MATH_H_ */ |