[444] | 1 | #ifndef _MATH_H_ |
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| 2 | |
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| 3 | #define _MATH_H_ |
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| 4 | |
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| 5 | #include <sys/reent.h> |
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| 6 | #include <sys/cdefs.h> |
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| 7 | #include <machine/ieeefp.h> |
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| 8 | #include "_ansi.h" |
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| 9 | |
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| 10 | _BEGIN_STD_C |
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| 11 | |
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| 12 | /* Natural log of 2 */ |
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| 13 | #define _M_LN2 0.693147180559945309417 |
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| 14 | |
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| 15 | #if __GNUC_PREREQ (3, 3) |
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| 16 | /* gcc >= 3.3 implicitly defines builtins for HUGE_VALx values. */ |
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| 17 | |
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| 18 | # ifndef HUGE_VAL |
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| 19 | # define HUGE_VAL (__builtin_huge_val()) |
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| 20 | # endif |
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| 21 | |
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| 22 | # ifndef HUGE_VALF |
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| 23 | # define HUGE_VALF (__builtin_huge_valf()) |
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| 24 | # endif |
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| 25 | |
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| 26 | # ifndef HUGE_VALL |
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| 27 | # define HUGE_VALL (__builtin_huge_vall()) |
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| 28 | # endif |
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| 29 | |
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| 30 | # ifndef INFINITY |
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| 31 | # define INFINITY (__builtin_inff()) |
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| 32 | # endif |
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| 33 | |
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| 34 | # ifndef NAN |
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| 35 | # define NAN (__builtin_nanf("")) |
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| 36 | # endif |
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| 37 | |
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| 38 | #else /* !gcc >= 3.3 */ |
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| 39 | |
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| 40 | /* No builtins. Use fixed defines instead. (All 3 HUGE plus the INFINITY |
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| 41 | * and NAN macros are required to be constant expressions. Using a variable-- |
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| 42 | * even a static const--does not meet this requirement, as it cannot be |
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| 43 | * evaluated at translation time.) |
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| 44 | * The infinities are done using numbers that are far in excess of |
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| 45 | * something that would be expected to be encountered in a floating-point |
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| 46 | * implementation. (A more certain way uses values from float.h, but that is |
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| 47 | * avoided because system includes are not supposed to include each other.) |
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| 48 | * This method might produce warnings from some compilers. (It does in |
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| 49 | * newer GCCs, but not for ones that would hit this #else.) If this happens, |
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| 50 | * please report details to the Newlib mailing list. */ |
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| 51 | |
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| 52 | #ifndef HUGE_VAL |
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| 53 | #define HUGE_VAL (1.0e999999999) |
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| 54 | #endif |
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| 55 | |
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| 56 | #ifndef HUGE_VALF |
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| 57 | #define HUGE_VALF (1.0e999999999F) |
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| 58 | #endif |
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| 59 | |
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| 60 | #if !defined(HUGE_VALL) && defined(_HAVE_LONG_DOUBLE) |
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| 61 | #define HUGE_VALL (1.0e999999999L) |
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| 62 | #endif |
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| 63 | |
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| 64 | #if !defined(INFINITY) |
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| 65 | #define INFINITY (HUGE_VALF) |
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| 66 | #endif |
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| 67 | |
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| 68 | #if !defined(NAN) |
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| 69 | #if defined(__GNUC__) && defined(__cplusplus) |
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| 70 | /* Exception: older g++ versions warn about the divide by 0 used in the |
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| 71 | * normal case (even though older gccs do not). This trick suppresses the |
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| 72 | * warning, but causes errors for plain gcc, so is only used in the one |
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| 73 | * special case. */ |
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| 74 | static const union { __ULong __i[1]; float __d; } __Nanf = {0x7FC00000}; |
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| 75 | #define NAN (__Nanf.__d) |
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| 76 | #else |
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| 77 | #define NAN (0.0F/0.0F) |
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| 78 | #endif |
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| 79 | #endif |
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| 80 | |
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| 81 | #endif /* !gcc >= 3.3 */ |
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| 82 | |
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| 83 | /* Reentrant ANSI C functions. */ |
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| 84 | |
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| 85 | #ifndef __math_68881 |
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| 86 | extern double atan (double); |
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| 87 | extern double cos (double); |
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| 88 | extern double sin (double); |
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| 89 | extern double tan (double); |
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| 90 | extern double tanh (double); |
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| 91 | extern double frexp (double, int *); |
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| 92 | extern double modf (double, double *); |
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| 93 | extern double ceil (double); |
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| 94 | extern double fabs (double); |
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| 95 | extern double floor (double); |
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| 96 | #endif /* ! defined (__math_68881) */ |
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| 97 | |
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| 98 | /* Non reentrant ANSI C functions. */ |
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| 99 | |
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| 100 | #ifndef _REENT_ONLY |
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| 101 | #ifndef __math_68881 |
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| 102 | extern double acos (double); |
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| 103 | extern double asin (double); |
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| 104 | extern double atan2 (double, double); |
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| 105 | extern double cosh (double); |
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| 106 | extern double sinh (double); |
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| 107 | extern double exp (double); |
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| 108 | extern double ldexp (double, int); |
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| 109 | extern double log (double); |
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| 110 | extern double log10 (double); |
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| 111 | extern double pow (double, double); |
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| 112 | extern double sqrt (double); |
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| 113 | extern double fmod (double, double); |
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| 114 | #endif /* ! defined (__math_68881) */ |
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| 115 | #endif /* ! defined (_REENT_ONLY) */ |
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| 116 | |
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| 117 | #if __MISC_VISIBLE |
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| 118 | extern int finite (double); |
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| 119 | extern int finitef (float); |
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| 120 | extern int finitel (long double); |
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| 121 | extern int isinff (float); |
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| 122 | extern int isnanf (float); |
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| 123 | #ifdef __CYGWIN__ /* not implemented in newlib yet */ |
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| 124 | extern int isinfl (long double); |
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| 125 | extern int isnanl (long double); |
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| 126 | #endif |
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| 127 | #if !defined(__cplusplus) || __cplusplus < 201103L |
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| 128 | extern int isinf (double); |
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| 129 | #endif |
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| 130 | #endif /* __MISC_VISIBLE */ |
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| 131 | #if (__MISC_VISIBLE || (__XSI_VISIBLE && __XSI_VISIBLE < 600)) \ |
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| 132 | && (!defined(__cplusplus) || __cplusplus < 201103L) |
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| 133 | extern int isnan (double); |
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| 134 | #endif |
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| 135 | |
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| 136 | #if __ISO_C_VISIBLE >= 1999 |
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| 137 | /* ISO C99 types and macros. */ |
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| 138 | |
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| 139 | /* FIXME: FLT_EVAL_METHOD should somehow be gotten from float.h (which is hard, |
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| 140 | * considering that the standard says the includes it defines should not |
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| 141 | * include other includes that it defines) and that value used. (This can be |
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| 142 | * solved, but autoconf has a bug which makes the solution more difficult, so |
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| 143 | * it has been skipped for now.) */ |
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| 144 | #if !defined(FLT_EVAL_METHOD) && defined(__FLT_EVAL_METHOD__) |
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| 145 | #define FLT_EVAL_METHOD __FLT_EVAL_METHOD__ |
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| 146 | #define __TMP_FLT_EVAL_METHOD |
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| 147 | #endif /* FLT_EVAL_METHOD */ |
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| 148 | #if defined FLT_EVAL_METHOD |
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| 149 | #if FLT_EVAL_METHOD == 0 |
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| 150 | typedef float float_t; |
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| 151 | typedef double double_t; |
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| 152 | #elif FLT_EVAL_METHOD == 1 |
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| 153 | typedef double float_t; |
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| 154 | typedef double double_t; |
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| 155 | #elif FLT_EVAL_METHOD == 2 |
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| 156 | typedef long double float_t; |
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| 157 | typedef long double double_t; |
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| 158 | #else |
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| 159 | /* Implementation-defined. Assume float_t and double_t have been |
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| 160 | * defined previously for this configuration (e.g. config.h). */ |
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| 161 | #endif |
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| 162 | #else |
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| 163 | /* Assume basic definitions. */ |
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| 164 | typedef float float_t; |
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| 165 | typedef double double_t; |
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| 166 | #endif |
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| 167 | #if defined(__TMP_FLT_EVAL_METHOD) |
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| 168 | #undef FLT_EVAL_METHOD |
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| 169 | #endif |
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| 170 | |
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| 171 | #define FP_NAN 0 |
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| 172 | #define FP_INFINITE 1 |
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| 173 | #define FP_ZERO 2 |
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| 174 | #define FP_SUBNORMAL 3 |
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| 175 | #define FP_NORMAL 4 |
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| 176 | |
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| 177 | #ifndef FP_ILOGB0 |
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| 178 | # define FP_ILOGB0 (-__INT_MAX__) |
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| 179 | #endif |
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| 180 | #ifndef FP_ILOGBNAN |
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| 181 | # define FP_ILOGBNAN __INT_MAX__ |
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| 182 | #endif |
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| 183 | |
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| 184 | #ifndef MATH_ERRNO |
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| 185 | # define MATH_ERRNO 1 |
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| 186 | #endif |
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| 187 | #ifndef MATH_ERREXCEPT |
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| 188 | # define MATH_ERREXCEPT 2 |
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| 189 | #endif |
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| 190 | #ifndef math_errhandling |
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| 191 | # define math_errhandling MATH_ERRNO |
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| 192 | #endif |
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| 193 | |
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| 194 | extern int __isinff (float x); |
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| 195 | extern int __isinfd (double x); |
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| 196 | extern int __isnanf (float x); |
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| 197 | extern int __isnand (double x); |
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| 198 | extern int __fpclassifyf (float x); |
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| 199 | extern int __fpclassifyd (double x); |
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| 200 | extern int __signbitf (float x); |
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| 201 | extern int __signbitd (double x); |
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| 202 | |
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| 203 | /* Note: isinf and isnan were once functions in newlib that took double |
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| 204 | * arguments. C99 specifies that these names are reserved for macros |
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| 205 | * supporting multiple floating point types. Thus, they are |
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| 206 | * now defined as macros. Implementations of the old functions |
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| 207 | * taking double arguments still exist for compatibility purposes |
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| 208 | * (prototypes for them are earlier in this header). */ |
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| 209 | |
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| 210 | #if __GNUC_PREREQ (4, 4) |
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| 211 | #define fpclassify(__x) (__builtin_fpclassify (FP_NAN, FP_INFINITE, \ |
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| 212 | FP_NORMAL, FP_SUBNORMAL, \ |
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| 213 | FP_ZERO, __x)) |
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| 214 | #ifndef isfinite |
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| 215 | #define isfinite(__x) (__builtin_isfinite (__x)) |
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| 216 | #endif |
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| 217 | #ifndef isinf |
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| 218 | #define isinf(__x) (__builtin_isinf_sign (__x)) |
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| 219 | #endif |
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| 220 | #ifndef isnan |
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| 221 | #define isnan(__x) (__builtin_isnan (__x)) |
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| 222 | #endif |
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| 223 | #define isnormal(__x) (__builtin_isnormal (__x)) |
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| 224 | #else |
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| 225 | #define fpclassify(__x) \ |
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| 226 | ((sizeof(__x) == sizeof(float)) ? __fpclassifyf(__x) : \ |
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| 227 | __fpclassifyd(__x)) |
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| 228 | #ifndef isfinite |
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| 229 | #define isfinite(__y) \ |
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| 230 | (__extension__ ({int __cy = fpclassify(__y); \ |
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| 231 | __cy != FP_INFINITE && __cy != FP_NAN;})) |
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| 232 | #endif |
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| 233 | #ifndef isinf |
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| 234 | #define isinf(__x) (fpclassify(__x) == FP_INFINITE) |
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| 235 | #endif |
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| 236 | #ifndef isnan |
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| 237 | #define isnan(__x) (fpclassify(__x) == FP_NAN) |
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| 238 | #endif |
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| 239 | #define isnormal(__x) (fpclassify(__x) == FP_NORMAL) |
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| 240 | #endif |
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| 241 | |
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| 242 | #if __GNUC_PREREQ (4, 0) |
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| 243 | #if defined(_HAVE_LONG_DOUBLE) |
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| 244 | #define signbit(__x) \ |
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| 245 | ((sizeof(__x) == sizeof(float)) ? __builtin_signbitf(__x) : \ |
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| 246 | (sizeof(__x) == sizeof(double)) ? __builtin_signbit (__x) : \ |
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| 247 | __builtin_signbitl(__x)) |
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| 248 | #else |
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| 249 | #define signbit(__x) \ |
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| 250 | ((sizeof(__x) == sizeof(float)) ? __builtin_signbitf(__x) : \ |
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| 251 | __builtin_signbit (__x)) |
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| 252 | #endif |
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| 253 | #else |
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| 254 | #define signbit(__x) \ |
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| 255 | ((sizeof(__x) == sizeof(float)) ? __signbitf(__x) : \ |
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| 256 | __signbitd(__x)) |
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| 257 | #endif |
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| 258 | |
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| 259 | #if __GNUC_PREREQ (2, 97) |
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| 260 | #define isgreater(__x,__y) (__builtin_isgreater (__x, __y)) |
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| 261 | #define isgreaterequal(__x,__y) (__builtin_isgreaterequal (__x, __y)) |
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| 262 | #define isless(__x,__y) (__builtin_isless (__x, __y)) |
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| 263 | #define islessequal(__x,__y) (__builtin_islessequal (__x, __y)) |
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| 264 | #define islessgreater(__x,__y) (__builtin_islessgreater (__x, __y)) |
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| 265 | #define isunordered(__x,__y) (__builtin_isunordered (__x, __y)) |
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| 266 | #else |
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| 267 | #define isgreater(x,y) \ |
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| 268 | (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
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| 269 | !isunordered(__x,__y) && (__x > __y);})) |
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| 270 | #define isgreaterequal(x,y) \ |
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| 271 | (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
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| 272 | !isunordered(__x,__y) && (__x >= __y);})) |
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| 273 | #define isless(x,y) \ |
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| 274 | (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
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| 275 | !isunordered(__x,__y) && (__x < __y);})) |
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| 276 | #define islessequal(x,y) \ |
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| 277 | (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
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| 278 | !isunordered(__x,__y) && (__x <= __y);})) |
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| 279 | #define islessgreater(x,y) \ |
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| 280 | (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
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| 281 | !isunordered(__x,__y) && (__x < __y || __x > __y);})) |
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| 282 | |
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| 283 | #define isunordered(a,b) \ |
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| 284 | (__extension__ ({__typeof__(a) __a = (a); __typeof__(b) __b = (b); \ |
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| 285 | fpclassify(__a) == FP_NAN || fpclassify(__b) == FP_NAN;})) |
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| 286 | #endif |
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| 287 | |
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| 288 | /* Non ANSI double precision functions. */ |
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| 289 | |
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| 290 | extern double infinity (void); |
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| 291 | extern double nan (const char *); |
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| 292 | extern double copysign (double, double); |
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| 293 | extern double logb (double); |
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| 294 | extern int ilogb (double); |
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| 295 | |
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| 296 | extern double asinh (double); |
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| 297 | extern double cbrt (double); |
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| 298 | extern double nextafter (double, double); |
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| 299 | extern double rint (double); |
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| 300 | extern double scalbn (double, int); |
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| 301 | |
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| 302 | extern double exp2 (double); |
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| 303 | extern double scalbln (double, long int); |
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| 304 | extern double tgamma (double); |
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| 305 | extern double nearbyint (double); |
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| 306 | extern long int lrint (double); |
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| 307 | extern long long int llrint (double); |
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| 308 | extern double round (double); |
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| 309 | extern long int lround (double); |
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| 310 | extern long long int llround (double); |
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| 311 | extern double trunc (double); |
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| 312 | extern double remquo (double, double, int *); |
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| 313 | extern double fdim (double, double); |
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| 314 | extern double fmax (double, double); |
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| 315 | extern double fmin (double, double); |
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| 316 | extern double fma (double, double, double); |
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| 317 | |
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| 318 | #ifndef __math_68881 |
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| 319 | extern double log1p (double); |
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| 320 | extern double expm1 (double); |
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| 321 | #endif /* ! defined (__math_68881) */ |
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| 322 | |
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| 323 | #ifndef _REENT_ONLY |
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| 324 | extern double acosh (double); |
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| 325 | extern double atanh (double); |
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| 326 | extern double remainder (double, double); |
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| 327 | extern double gamma (double); |
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| 328 | extern double lgamma (double); |
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| 329 | extern double erf (double); |
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| 330 | extern double erfc (double); |
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| 331 | extern double log2 (double); |
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| 332 | #if !defined(__cplusplus) |
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| 333 | #define log2(x) (log (x) / _M_LN2) |
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| 334 | #endif |
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| 335 | |
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| 336 | #ifndef __math_68881 |
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| 337 | extern double hypot (double, double); |
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| 338 | #endif |
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| 339 | |
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| 340 | #endif /* ! defined (_REENT_ONLY) */ |
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| 341 | |
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| 342 | /* Single precision versions of ANSI functions. */ |
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| 343 | |
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| 344 | extern float atanf (float); |
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| 345 | extern float cosf (float); |
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| 346 | extern float sinf (float); |
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| 347 | extern float tanf (float); |
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| 348 | extern float tanhf (float); |
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| 349 | extern float frexpf (float, int *); |
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| 350 | extern float modff (float, float *); |
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| 351 | extern float ceilf (float); |
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| 352 | extern float fabsf (float); |
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| 353 | extern float floorf (float); |
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| 354 | |
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| 355 | #ifndef _REENT_ONLY |
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| 356 | extern float acosf (float); |
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| 357 | extern float asinf (float); |
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| 358 | extern float atan2f (float, float); |
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| 359 | extern float coshf (float); |
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| 360 | extern float sinhf (float); |
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| 361 | extern float expf (float); |
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| 362 | extern float ldexpf (float, int); |
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| 363 | extern float logf (float); |
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| 364 | extern float log10f (float); |
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| 365 | extern float powf (float, float); |
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| 366 | extern float sqrtf (float); |
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| 367 | extern float fmodf (float, float); |
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| 368 | #endif /* ! defined (_REENT_ONLY) */ |
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| 369 | |
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| 370 | /* Other single precision functions. */ |
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| 371 | |
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| 372 | extern float exp2f (float); |
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| 373 | extern float scalblnf (float, long int); |
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| 374 | extern float tgammaf (float); |
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| 375 | extern float nearbyintf (float); |
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| 376 | extern long int lrintf (float); |
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| 377 | extern long long int llrintf (float); |
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| 378 | extern float roundf (float); |
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| 379 | extern long int lroundf (float); |
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| 380 | extern long long int llroundf (float); |
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| 381 | extern float truncf (float); |
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| 382 | extern float remquof (float, float, int *); |
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| 383 | extern float fdimf (float, float); |
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| 384 | extern float fmaxf (float, float); |
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| 385 | extern float fminf (float, float); |
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| 386 | extern float fmaf (float, float, float); |
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| 387 | |
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| 388 | extern float infinityf (void); |
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| 389 | extern float nanf (const char *); |
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| 390 | extern float copysignf (float, float); |
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| 391 | extern float logbf (float); |
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| 392 | extern int ilogbf (float); |
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| 393 | |
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| 394 | extern float asinhf (float); |
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| 395 | extern float cbrtf (float); |
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| 396 | extern float nextafterf (float, float); |
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| 397 | extern float rintf (float); |
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| 398 | extern float scalbnf (float, int); |
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| 399 | extern float log1pf (float); |
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| 400 | extern float expm1f (float); |
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| 401 | |
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| 402 | #ifndef _REENT_ONLY |
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| 403 | extern float acoshf (float); |
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| 404 | extern float atanhf (float); |
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| 405 | extern float remainderf (float, float); |
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| 406 | extern float gammaf (float); |
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| 407 | extern float lgammaf (float); |
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| 408 | extern float erff (float); |
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| 409 | extern float erfcf (float); |
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| 410 | extern float log2f (float); |
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| 411 | extern float hypotf (float, float); |
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| 412 | #endif /* ! defined (_REENT_ONLY) */ |
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| 413 | |
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| 414 | /* Newlib doesn't fully support long double math functions so far. |
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| 415 | On platforms where long double equals double the long double functions |
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| 416 | simply call the double functions. On Cygwin the long double functions |
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| 417 | are implemented independently from newlib to be able to use optimized |
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| 418 | assembler functions despite using the Microsoft x86_64 ABI. */ |
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| 419 | #if defined (_LDBL_EQ_DBL) || defined (__CYGWIN__) |
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| 420 | /* Reentrant ANSI C functions. */ |
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| 421 | #ifndef __math_68881 |
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| 422 | extern long double atanl (long double); |
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| 423 | extern long double cosl (long double); |
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| 424 | extern long double sinl (long double); |
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| 425 | extern long double tanl (long double); |
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| 426 | extern long double tanhl (long double); |
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| 427 | extern long double frexpl (long double, int *); |
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| 428 | extern long double modfl (long double, long double *); |
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| 429 | extern long double ceill (long double); |
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| 430 | extern long double fabsl (long double); |
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| 431 | extern long double floorl (long double); |
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| 432 | extern long double log1pl (long double); |
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| 433 | extern long double expm1l (long double); |
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| 434 | #endif /* ! defined (__math_68881) */ |
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| 435 | /* Non reentrant ANSI C functions. */ |
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| 436 | #ifndef _REENT_ONLY |
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| 437 | #ifndef __math_68881 |
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| 438 | extern long double acosl (long double); |
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| 439 | extern long double asinl (long double); |
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| 440 | extern long double atan2l (long double, long double); |
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| 441 | extern long double coshl (long double); |
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| 442 | extern long double sinhl (long double); |
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| 443 | extern long double expl (long double); |
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| 444 | extern long double ldexpl (long double, int); |
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| 445 | extern long double logl (long double); |
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| 446 | extern long double log10l (long double); |
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| 447 | extern long double powl (long double, long double); |
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| 448 | extern long double sqrtl (long double); |
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| 449 | extern long double fmodl (long double, long double); |
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| 450 | extern long double hypotl (long double, long double); |
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| 451 | #endif /* ! defined (__math_68881) */ |
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| 452 | #endif /* ! defined (_REENT_ONLY) */ |
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| 453 | extern long double copysignl (long double, long double); |
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| 454 | extern long double nanl (const char *); |
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| 455 | extern int ilogbl (long double); |
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| 456 | extern long double asinhl (long double); |
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| 457 | extern long double cbrtl (long double); |
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| 458 | extern long double nextafterl (long double, long double); |
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| 459 | extern float nexttowardf (float, long double); |
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| 460 | extern double nexttoward (double, long double); |
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| 461 | extern long double nexttowardl (long double, long double); |
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| 462 | extern long double logbl (long double); |
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| 463 | extern long double log2l (long double); |
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| 464 | extern long double rintl (long double); |
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| 465 | extern long double scalbnl (long double, int); |
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| 466 | extern long double exp2l (long double); |
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| 467 | extern long double scalblnl (long double, long); |
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| 468 | extern long double tgammal (long double); |
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| 469 | extern long double nearbyintl (long double); |
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| 470 | extern long int lrintl (long double); |
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| 471 | extern long long int llrintl (long double); |
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| 472 | extern long double roundl (long double); |
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| 473 | extern long lroundl (long double); |
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| 474 | extern long long int llroundl (long double); |
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| 475 | extern long double truncl (long double); |
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| 476 | extern long double remquol (long double, long double, int *); |
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| 477 | extern long double fdiml (long double, long double); |
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| 478 | extern long double fmaxl (long double, long double); |
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| 479 | extern long double fminl (long double, long double); |
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| 480 | extern long double fmal (long double, long double, long double); |
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| 481 | #ifndef _REENT_ONLY |
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| 482 | extern long double acoshl (long double); |
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| 483 | extern long double atanhl (long double); |
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| 484 | extern long double remainderl (long double, long double); |
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| 485 | extern long double lgammal (long double); |
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| 486 | extern long double erfl (long double); |
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| 487 | extern long double erfcl (long double); |
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| 488 | #endif /* ! defined (_REENT_ONLY) */ |
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| 489 | #else /* !_LDBL_EQ_DBL && !__CYGWIN__ */ |
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| 490 | extern long double hypotl (long double, long double); |
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| 491 | extern long double sqrtl (long double); |
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| 492 | #ifdef __i386__ |
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| 493 | /* Other long double precision functions. */ |
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| 494 | extern _LONG_DOUBLE rintl (_LONG_DOUBLE); |
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| 495 | extern long int lrintl (_LONG_DOUBLE); |
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| 496 | extern long long int llrintl (_LONG_DOUBLE); |
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| 497 | #endif /* __i386__ */ |
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| 498 | #endif /* !_LDBL_EQ_DBL && !__CYGWIN__ */ |
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| 499 | |
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| 500 | #endif /* __ISO_C_VISIBLE >= 1999 */ |
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| 501 | |
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| 502 | #if __MISC_VISIBLE |
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| 503 | extern double drem (double, double); |
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| 504 | extern float dremf (float, float); |
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| 505 | #ifdef __CYGWIN__ |
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| 506 | extern float dreml (long double, long double); |
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| 507 | #endif /* __CYGWIN__ */ |
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| 508 | extern double gamma_r (double, int *); |
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| 509 | extern double lgamma_r (double, int *); |
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| 510 | extern float gammaf_r (float, int *); |
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| 511 | extern float lgammaf_r (float, int *); |
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| 512 | #endif |
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| 513 | |
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| 514 | #if __MISC_VISIBLE || __XSI_VISIBLE |
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| 515 | extern double y0 (double); |
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| 516 | extern double y1 (double); |
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| 517 | extern double yn (int, double); |
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| 518 | extern double j0 (double); |
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| 519 | extern double j1 (double); |
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| 520 | extern double jn (int, double); |
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| 521 | #endif |
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| 522 | |
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| 523 | #if __MISC_VISIBLE || __XSI_VISIBLE >= 600 |
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| 524 | extern float y0f (float); |
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| 525 | extern float y1f (float); |
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| 526 | extern float ynf (int, float); |
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| 527 | extern float j0f (float); |
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| 528 | extern float j1f (float); |
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| 529 | extern float jnf (int, float); |
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| 530 | #endif |
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| 531 | |
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| 532 | /* GNU extensions */ |
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| 533 | #if __GNU_VISIBLE |
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| 534 | extern void sincos (double, double *, double *); |
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| 535 | extern void sincosf (float, float *, float *); |
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| 536 | #ifdef __CYGWIN__ |
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| 537 | extern void sincosl (long double, long double *, long double *); |
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| 538 | #endif /* __CYGWIN__ */ |
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| 539 | # ifndef exp10 |
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| 540 | extern double exp10 (double); |
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| 541 | # endif |
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| 542 | # ifndef pow10 |
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| 543 | extern double pow10 (double); |
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| 544 | # endif |
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| 545 | # ifndef exp10f |
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| 546 | extern float exp10f (float); |
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| 547 | # endif |
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| 548 | # ifndef pow10f |
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| 549 | extern float pow10f (float); |
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| 550 | # endif |
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| 551 | #ifdef __CYGWIN__ |
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| 552 | # ifndef exp10l |
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| 553 | extern float exp10l (float); |
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| 554 | # endif |
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| 555 | # ifndef pow10l |
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| 556 | extern float pow10l (float); |
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| 557 | # endif |
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| 558 | #endif /* __CYGWIN__ */ |
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| 559 | #endif /* __GNU_VISIBLE */ |
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| 560 | |
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| 561 | #if __MISC_VISIBLE || __XSI_VISIBLE |
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| 562 | /* The gamma functions use a global variable, signgam. */ |
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| 563 | #ifndef _REENT_ONLY |
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| 564 | #define signgam (*__signgam()) |
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| 565 | extern int *__signgam (void); |
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| 566 | #endif /* ! defined (_REENT_ONLY) */ |
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| 567 | |
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| 568 | #define __signgam_r(ptr) _REENT_SIGNGAM(ptr) |
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| 569 | #endif /* __MISC_VISIBLE || __XSI_VISIBLE */ |
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| 570 | |
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| 571 | #if __SVID_VISIBLE |
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| 572 | /* The exception structure passed to the matherr routine. */ |
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| 573 | /* We have a problem when using C++ since `exception' is a reserved |
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| 574 | name in C++. */ |
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| 575 | #ifdef __cplusplus |
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| 576 | struct __exception |
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| 577 | #else |
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| 578 | struct exception |
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| 579 | #endif |
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| 580 | { |
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| 581 | int type; |
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| 582 | char *name; |
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| 583 | double arg1; |
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| 584 | double arg2; |
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| 585 | double retval; |
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| 586 | int err; |
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| 587 | }; |
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| 588 | |
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| 589 | #ifdef __cplusplus |
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| 590 | extern int matherr (struct __exception *e); |
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| 591 | #else |
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| 592 | extern int matherr (struct exception *e); |
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| 593 | #endif |
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| 594 | |
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| 595 | /* Values for the type field of struct exception. */ |
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| 596 | |
---|
| 597 | #define DOMAIN 1 |
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| 598 | #define SING 2 |
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| 599 | #define OVERFLOW 3 |
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| 600 | #define UNDERFLOW 4 |
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| 601 | #define TLOSS 5 |
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| 602 | #define PLOSS 6 |
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| 603 | |
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| 604 | #endif /* __SVID_VISIBLE */ |
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| 605 | |
---|
| 606 | /* Useful constants. */ |
---|
| 607 | |
---|
| 608 | #if __BSD_VISIBLE || __XSI_VISIBLE |
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| 609 | |
---|
| 610 | #define MAXFLOAT 3.40282347e+38F |
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| 611 | |
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| 612 | #define M_E 2.7182818284590452354 |
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| 613 | #define M_LOG2E 1.4426950408889634074 |
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| 614 | #define M_LOG10E 0.43429448190325182765 |
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| 615 | #define M_LN2 _M_LN2 |
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| 616 | #define M_LN10 2.30258509299404568402 |
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| 617 | #define M_PI 3.14159265358979323846 |
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| 618 | #define M_PI_2 1.57079632679489661923 |
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| 619 | #define M_PI_4 0.78539816339744830962 |
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| 620 | #define M_1_PI 0.31830988618379067154 |
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| 621 | #define M_2_PI 0.63661977236758134308 |
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| 622 | #define M_2_SQRTPI 1.12837916709551257390 |
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| 623 | #define M_SQRT2 1.41421356237309504880 |
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| 624 | #define M_SQRT1_2 0.70710678118654752440 |
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| 625 | |
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| 626 | #endif |
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| 627 | |
---|
| 628 | #if __BSD_VISIBLE |
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| 629 | |
---|
| 630 | #define M_TWOPI (M_PI * 2.0) |
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| 631 | #define M_3PI_4 2.3561944901923448370E0 |
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| 632 | #define M_SQRTPI 1.77245385090551602792981 |
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| 633 | #define M_LN2LO 1.9082149292705877000E-10 |
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| 634 | #define M_LN2HI 6.9314718036912381649E-1 |
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| 635 | #define M_SQRT3 1.73205080756887719000 |
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| 636 | #define M_IVLN10 0.43429448190325182765 /* 1 / log(10) */ |
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| 637 | #define M_LOG2_E _M_LN2 |
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| 638 | #define M_INVLN2 1.4426950408889633870E0 /* 1 / log(2) */ |
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| 639 | |
---|
| 640 | /* Global control over fdlibm error handling. */ |
---|
| 641 | |
---|
| 642 | enum __fdlibm_version |
---|
| 643 | { |
---|
| 644 | __fdlibm_ieee = -1, |
---|
| 645 | __fdlibm_svid, |
---|
| 646 | __fdlibm_xopen, |
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| 647 | __fdlibm_posix |
---|
| 648 | }; |
---|
| 649 | |
---|
| 650 | #define _LIB_VERSION_TYPE enum __fdlibm_version |
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| 651 | #define _LIB_VERSION __fdlib_version |
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| 652 | |
---|
| 653 | extern __IMPORT _LIB_VERSION_TYPE _LIB_VERSION; |
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| 654 | |
---|
| 655 | #define _IEEE_ __fdlibm_ieee |
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| 656 | #define _SVID_ __fdlibm_svid |
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| 657 | #define _XOPEN_ __fdlibm_xopen |
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| 658 | #define _POSIX_ __fdlibm_posix |
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| 659 | |
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| 660 | #endif /* __BSD_VISIBLE */ |
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| 661 | |
---|
| 662 | _END_STD_C |
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| 663 | |
---|
| 664 | #ifdef __FAST_MATH__ |
---|
| 665 | #include <machine/fastmath.h> |
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| 666 | #endif |
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| 667 | |
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| 668 | #endif /* _MATH_H_ */ |
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