| /* |
| Copyright (c) 1991, 1993 |
| The Regents of the University of California. All rights reserved. |
| c) UNIX System Laboratories, Inc. |
| All or some portions of this file are derived from material licensed |
| to the University of California by American Telephone and Telegraph |
| Co. or Unix System Laboratories, Inc. and are reproduced herein with |
| the permission of UNIX System Laboratories, Inc. |
| |
| Redistribution and use in source and binary forms, with or without |
| modification, are permitted provided that the following conditions |
| are met: |
| 1. Redistributions of source code must retain the above copyright |
| notice, this list of conditions and the following disclaimer. |
| 2. Redistributions in binary form must reproduce the above copyright |
| notice, this list of conditions and the following disclaimer in the |
| documentation and/or other materials provided with the distribution. |
| 3. Neither the name of the University nor the names of its contributors |
| may be used to endorse or promote products derived from this software |
| without specific prior written permission. |
| |
| THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND |
| ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
| IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
| ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE |
| FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL |
| DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS |
| OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
| HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
| LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY |
| OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF |
| SUCH DAMAGE. |
| */ |
| #ifndef _MATH_H_ |
| |
| #define _MATH_H_ |
| |
| #include <sys/cdefs.h> |
| #include <ieeefp.h> |
| #include "_ansi.h" |
| |
| _BEGIN_STD_C |
| |
| /* Natural log of 2 */ |
| #define _M_LN2 0.693147180559945309417 |
| #define _M_LN2_LD 0.693147180559945309417232121458176568l |
| |
| #if __GNUC_PREREQ (3, 3) || defined(__clang__) || defined(__COMPCERT__) |
| /* gcc >= 3.3 implicitly defines builtins for HUGE_VALx values. */ |
| |
| # ifndef HUGE_VAL |
| # define HUGE_VAL (__builtin_huge_val()) |
| # endif |
| |
| # ifndef HUGE_VALF |
| # define HUGE_VALF (__builtin_huge_valf()) |
| # endif |
| |
| # ifndef HUGE_VALL |
| # define HUGE_VALL (__builtin_huge_vall()) |
| # endif |
| |
| # ifndef INFINITY |
| # define INFINITY (__builtin_inff()) |
| # endif |
| |
| # ifndef NAN |
| # define NAN (__builtin_nanf("")) |
| # endif |
| |
| #else /* !gcc >= 3.3 */ |
| |
| /* No builtins. Use fixed defines instead. (All 3 HUGE plus the INFINITY |
| * and NAN macros are required to be constant expressions. Using a variable-- |
| * even a static const--does not meet this requirement, as it cannot be |
| * evaluated at translation time.) |
| * The infinities are done using numbers that are far in excess of |
| * something that would be expected to be encountered in a floating-point |
| * implementation. (A more certain way uses values from float.h, but that is |
| * avoided because system includes are not supposed to include each other.) |
| * This method might produce warnings from some compilers. (It does in |
| * newer GCCs, but not for ones that would hit this #else.) If this happens, |
| * please report details to the Newlib mailing list. */ |
| |
| #ifndef HUGE_VAL |
| #define HUGE_VAL (1.0e999999999) |
| #endif |
| |
| #ifndef HUGE_VALF |
| #define HUGE_VALF (1.0e999999999F) |
| #endif |
| |
| #if !defined(HUGE_VALL) && defined(_HAVE_LONG_DOUBLE) |
| #define HUGE_VALL (1.0e999999999L) |
| #endif |
| |
| #if !defined(INFINITY) |
| #define INFINITY (HUGE_VALF) |
| #endif |
| |
| #if !defined(NAN) |
| #if defined(__GNUC__) && defined(__cplusplus) |
| /* Exception: older g++ versions warn about the divide by 0 used in the |
| * normal case (even though older gccs do not). This trick suppresses the |
| * warning, but causes errors for plain gcc, so is only used in the one |
| * special case. */ |
| static const union { __ULong __i[1]; float __d; } __Nanf = {0x7FC00000}; |
| #define NAN (__Nanf.__d) |
| #else |
| #define NAN (0.0F/0.0F) |
| #endif |
| #endif |
| |
| #endif /* !gcc >= 3.3 */ |
| |
| extern double atan (double); |
| extern double cos (double); |
| extern double sin (double); |
| extern double tan (double); |
| extern double tanh (double); |
| extern double frexp (double, int *); |
| extern double modf (double, double *); |
| extern double ceil (double); |
| extern double fabs (double); |
| extern double floor (double); |
| |
| extern double acos (double); |
| extern double asin (double); |
| extern double atan2 (double, double); |
| extern double cosh (double); |
| extern double sinh (double); |
| extern double exp (double); |
| extern double ldexp (double, int); |
| extern double log (double); |
| extern double log10 (double); |
| extern double pow (double, double); |
| extern double sqrt (double); |
| extern double fmod (double, double); |
| |
| #if __MISC_VISIBLE |
| extern int finite (double); |
| extern int finitef (float); |
| extern int isinff (float); |
| extern int isnanf (float); |
| #if defined(_HAVE_LONG_DOUBLE) |
| extern int finitel (long double); |
| extern int isinfl (long double); |
| extern int isnanl (long double); |
| #endif |
| #if !defined(__cplusplus) || __cplusplus < 201103L |
| extern int isinf (double); |
| #endif |
| #endif /* __MISC_VISIBLE */ |
| #if (__MISC_VISIBLE || (__XSI_VISIBLE && __XSI_VISIBLE < 600)) \ |
| && (!defined(__cplusplus) || __cplusplus < 201103L) |
| extern int isnan (double); |
| #endif |
| |
| #if __ISO_C_VISIBLE >= 1999 |
| /* ISO C99 types and macros. */ |
| |
| /* FIXME: FLT_EVAL_METHOD should somehow be gotten from float.h (which is hard, |
| * considering that the standard says the includes it defines should not |
| * include other includes that it defines) and that value used. (This can be |
| * solved, but autoconf has a bug which makes the solution more difficult, so |
| * it has been skipped for now.) */ |
| #if !defined(FLT_EVAL_METHOD) && defined(__FLT_EVAL_METHOD__) |
| #define FLT_EVAL_METHOD __FLT_EVAL_METHOD__ |
| #define __TMP_FLT_EVAL_METHOD |
| #endif /* FLT_EVAL_METHOD */ |
| #if defined FLT_EVAL_METHOD |
| /* FLT_EVAL_METHOD == 16 has meaning as defined in ISO/IEC TS 18661-3, |
| * which provides non-compliant extensions to C and POSIX (by adding |
| * additional positive values for FLT_EVAL_METHOD). It effectively has |
| * same meaning as the C99 and C11 definitions for value 0, while also |
| * serving as a flag that the _Float16 (float16_t) type exists. |
| * |
| * FLT_EVAL_METHOD could be any number of bits of supported floating point |
| * format (e.g. 32, 64, 128), but currently only AArch64 and few other targets |
| * might define that as 16. */ |
| #if (FLT_EVAL_METHOD == 0) \ |
| || (FLT_EVAL_METHOD == 16) |
| typedef float float_t; |
| typedef double double_t; |
| #elif FLT_EVAL_METHOD == 1 |
| typedef double float_t; |
| typedef double double_t; |
| #elif FLT_EVAL_METHOD == 2 |
| typedef long double float_t; |
| typedef long double double_t; |
| #else |
| /* Implementation-defined. Assume float_t and double_t have been |
| * defined previously for this configuration (e.g. config.h). */ |
| |
| /* If __DOUBLE_TYPE is defined (__FLOAT_TYPE is then supposed to be |
| defined as well) float_t and double_t definition is suggested by |
| an arch specific header. */ |
| #ifdef __DOUBLE_TYPE |
| typedef __DOUBLE_TYPE double_t; |
| typedef __FLOAT_TYPE float_t; |
| #endif |
| /* Assume config.h has provided these types. */ |
| #endif |
| #else |
| /* Assume basic definitions. */ |
| typedef float float_t; |
| typedef double double_t; |
| #endif |
| #if defined(__TMP_FLT_EVAL_METHOD) |
| #undef FLT_EVAL_METHOD |
| #endif |
| |
| #define FP_NAN 0 |
| #define FP_INFINITE 1 |
| #define FP_ZERO 2 |
| #define FP_SUBNORMAL 3 |
| #define FP_NORMAL 4 |
| |
| #ifndef FP_ILOGB0 |
| # define FP_ILOGB0 (-__INT_MAX__) |
| #endif |
| #ifndef FP_ILOGBNAN |
| # define FP_ILOGBNAN __INT_MAX__ |
| #endif |
| |
| #ifndef MATH_ERRNO |
| # define MATH_ERRNO 1 |
| #endif |
| #ifndef MATH_ERREXCEPT |
| # define MATH_ERREXCEPT 2 |
| #endif |
| #ifndef math_errhandling |
| # ifdef _IEEE_LIBM |
| # define _MATH_ERRHANDLING_ERRNO 0 |
| # else |
| # define _MATH_ERRHANDLING_ERRNO MATH_ERRNO |
| # endif |
| # ifdef _SUPPORTS_ERREXCEPT |
| # define _MATH_ERRHANDLING_ERREXCEPT MATH_ERREXCEPT |
| # else |
| # define _MATH_ERRHANDLING_ERREXCEPT 0 |
| # endif |
| # define math_errhandling (_MATH_ERRHANDLING_ERRNO | _MATH_ERRHANDLING_ERREXCEPT) |
| #endif |
| |
| extern int __isinff (float); |
| extern int __isinfd (double); |
| extern int __isnanf (float); |
| extern int __isnand (double); |
| extern int __fpclassifyf (float); |
| extern int __fpclassifyd (double); |
| extern int __signbitf (float); |
| extern int __signbitd (double); |
| extern int __finite (double); |
| extern int __finitef (float); |
| #if defined(_HAVE_LONG_DOUBLE) |
| extern int __fpclassifyl (long double); |
| extern int __finitel (long double); |
| #endif |
| |
| /* Note: isinf and isnan were once functions in newlib that took double |
| * arguments. C99 specifies that these names are reserved for macros |
| * supporting multiple floating point types. Thus, they are |
| * now defined as macros. Implementations of the old functions |
| * taking double arguments still exist for compatibility purposes |
| * (prototypes for them are earlier in this header). */ |
| |
| /* |
| * GCC bug 66462 raises INVALID exception when __builtin_fpclassify is |
| * passed snan, so we cannot use it when building with snan support. |
| * clang doesn't appear to have an option to control snan behavior, and |
| * it's builtin fpclassify also raises INVALID for snan, so always use |
| * our version for that. |
| */ |
| #if __GNUC_PREREQ (4, 4) && !defined(__SUPPORT_SNAN__) && !defined(__clang__) |
| #define fpclassify(__x) (__builtin_fpclassify (FP_NAN, FP_INFINITE, \ |
| FP_NORMAL, FP_SUBNORMAL, \ |
| FP_ZERO, __x)) |
| #define isfinite(__x) (__builtin_isfinite (__x)) |
| #define isinf(__x) (__builtin_isinf_sign (__x)) |
| #define isnan(__x) (__builtin_isnan (__x)) |
| #define isnormal(__x) (__builtin_isnormal (__x)) |
| #define issubnormal(__x) (__builtin_issubnormal (__x)) |
| #define iszero(__x) (__builtin_iszero(__x)) |
| #else |
| #if defined(_HAVE_LONG_DOUBLE) |
| #define fpclassify(__x) \ |
| ((sizeof(__x) == sizeof(float) ? __fpclassifyf(__x) \ |
| : (sizeof(__x) == sizeof(double)) ? __fpclassifyd((double) (__x)) \ |
| : __fpclassifyl((long double) (__x)))) |
| #define isfinite(__x) \ |
| ((sizeof(__x) == sizeof(float)) ? __finitef(__x) \ |
| : (sizeof(__x) == sizeof(double)) ? __finite((double) (__x)) \ |
| : __finitel((long double) (__x))) |
| #else |
| #define fpclassify(__x) \ |
| ((sizeof(__x) == sizeof(float)) ? __fpclassifyf(__x) : \ |
| __fpclassifyd((double) (__x))) |
| #define isfinite(__x) ((sizeof(__x) == sizeof(float)) ? \ |
| __finitef(__x) : __finite((double) __x)) |
| #endif |
| #define isinf(__x) (fpclassify(__x) == FP_INFINITE) |
| #define isnan(__x) (fpclassify(__x) == FP_NAN) |
| #define isnormal(__x) (fpclassify(__x) == FP_NORMAL) |
| #define issubnormal(__x) (fpclassify(__x) == FP_SUBNORMAL) |
| #define iszero(__x) (fpclassify(__x) == FP_ZERO) |
| #endif |
| |
| #define isfinitef(x) isfinite((float) (x)) |
| #define isinff(x) isinf((float) (x)) |
| #define isnanf(x) isnan((float) (x)) |
| #define isnormalf(x) isnormal((float) (x)) |
| #define iszerof(x) iszero((float) (x)) |
| |
| #ifndef iseqsig |
| int __iseqsigd(double x, double y); |
| int __iseqsigf(float x, float y); |
| |
| #ifdef _HAVE_LONG_DOUBLE |
| int __iseqsigl(long double x, long double y); |
| #define iseqsig(__x,__y) \ |
| ((sizeof(__x) == sizeof(float) && sizeof(__y) == sizeof(float)) ? \ |
| __iseqsigf(__x, __y) : \ |
| (sizeof(__x) == sizeof(double) && sizeof(__y) == sizeof(double)) ? \ |
| __iseqsigd(__x, __y) : \ |
| __iseqsigl(__x, __y)) |
| #else |
| #ifdef _DOUBLE_IS_32BITS |
| #define iseqsig(__x, __y) __iseqsigf((float)(__x), (float)(__y)) |
| #else |
| #define iseqsig(__x,__y) \ |
| ((sizeof(__x) == sizeof(float) && sizeof(__y) == sizeof(float)) ? \ |
| __iseqsigf(__x, __y) : __iseqsigd(__x, __y)) |
| #endif |
| #endif |
| #endif |
| |
| #ifndef issignaling |
| int __issignalingf(float f); |
| int __issignaling(double d); |
| |
| #if defined(_HAVE_LONG_DOUBLE) |
| #if __SIZEOF_LONG_DOUBLE__ == __SIZEOF_DOUBLE__ && __SIZEOF_DOUBLE__ > 0 |
| static inline int __issignalingl(long double d) { return __issignaling((double) d); } |
| #else |
| int __issignalingl(long double d); |
| #endif |
| #define issignaling(__x) \ |
| ((sizeof(__x) == sizeof(float)) ? __issignalingf(__x) : \ |
| (sizeof(__x) == sizeof(double)) ? __issignaling ((double) (__x)) : \ |
| __issignalingl((long double) (__x))) |
| #else |
| #ifdef _DOUBLE_IS_32BITS |
| #define issignaling(__x) __issignalingf((float) (__x)) |
| #else |
| #define issignaling(__x) \ |
| ((sizeof(__x) == sizeof(float)) ? __issignalingf(__x) : \ |
| __issignaling ((double) (__x))) |
| #endif /* _DOUBLE_IS_32BITS */ |
| #endif /* _HAVE_LONG_DOUBLE */ |
| #endif |
| |
| #if __GNUC_PREREQ (4, 0) |
| #if defined(_HAVE_LONG_DOUBLE) |
| #define signbit(__x) \ |
| ((sizeof(__x) == sizeof(float)) ? __builtin_signbitf(__x) : \ |
| ((sizeof(__x) == sizeof(double)) ? __builtin_signbit ((double)(__x)) : \ |
| __builtin_signbitl((long double)(__x)))) |
| #else |
| #define signbit(__x) \ |
| ((sizeof(__x) == sizeof(float)) ? __builtin_signbitf(__x) : \ |
| __builtin_signbit ((double) (__x))) |
| #endif |
| #else |
| #define signbit(__x) \ |
| ((sizeof(__x) == sizeof(float)) ? __signbitf(__x) : \ |
| __signbitd((double) (__x))) |
| #endif |
| |
| #if __GNUC_PREREQ (2, 97) && !(defined(__riscv) && defined(__clang__)) |
| #define isgreater(__x,__y) (__builtin_isgreater (__x, __y)) |
| #define isgreaterequal(__x,__y) (__builtin_isgreaterequal (__x, __y)) |
| #define isless(__x,__y) (__builtin_isless (__x, __y)) |
| #define islessequal(__x,__y) (__builtin_islessequal (__x, __y)) |
| #define islessgreater(__x,__y) (__builtin_islessgreater (__x, __y)) |
| #define isunordered(__x,__y) (__builtin_isunordered (__x, __y)) |
| #else |
| #define isgreater(x,y) \ |
| (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
| !isunordered(__x,__y) && (__x > __y);})) |
| #define isgreaterequal(x,y) \ |
| (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
| !isunordered(__x,__y) && (__x >= __y);})) |
| #define isless(x,y) \ |
| (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
| !isunordered(__x,__y) && (__x < __y);})) |
| #define islessequal(x,y) \ |
| (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
| !isunordered(__x,__y) && (__x <= __y);})) |
| #define islessgreater(x,y) \ |
| (__extension__ ({__typeof__(x) __x = (x); __typeof__(y) __y = (y); \ |
| !isunordered(__x,__y) && (__x < __y || __x > __y);})) |
| |
| #define isunordered(a,b) \ |
| (__extension__ ({__typeof__(a) __a = (a); __typeof__(b) __b = (b); \ |
| fpclassify(__a) == FP_NAN || fpclassify(__b) == FP_NAN;})) |
| #endif |
| |
| /* Non ANSI double precision functions. */ |
| |
| extern double infinity (void); |
| extern double nan (const char *); |
| extern double copysign (double, double); |
| extern double logb (double); |
| extern int ilogb (double); |
| |
| extern double asinh (double); |
| extern double cbrt (double); |
| extern double nextafter (double, double); |
| extern double rint (double); |
| extern double scalbn (double, int); |
| extern double scalb (double, double); |
| extern double getpayload(const double *x); |
| extern double significand (double); |
| |
| extern double exp2 (double); |
| extern double scalbln (double, long int); |
| extern double tgamma (double); |
| extern double nearbyint (double); |
| extern long int lrint (double); |
| extern long long int llrint (double); |
| extern double round (double); |
| extern long int lround (double); |
| extern long long int llround (double); |
| extern double trunc (double); |
| extern double remquo (double, double, int *); |
| extern double fdim (double, double); |
| extern double fmax (double, double); |
| extern double fmin (double, double); |
| extern double fma (double, double, double); |
| |
| extern double log1p (double); |
| extern double expm1 (double); |
| |
| extern double acosh (double); |
| extern double atanh (double); |
| extern double remainder (double, double); |
| extern double gamma (double); |
| extern double lgamma (double); |
| extern double erf (double); |
| extern double erfc (double); |
| extern double log2 (double); |
| #if !defined(__cplusplus) |
| #define log2(x) (log (x) / _M_LN2) |
| #endif |
| |
| extern double hypot (double, double); |
| |
| /* Single precision versions of ANSI functions. */ |
| |
| extern float atanf (float); |
| extern float cosf (float); |
| extern float sinf (float); |
| extern float tanf (float); |
| extern float tanhf (float); |
| extern float frexpf (float, int *); |
| extern float modff (float, float *); |
| extern float ceilf (float); |
| extern float fabsf (float); |
| extern float floorf (float); |
| |
| extern float acosf (float); |
| extern float asinf (float); |
| extern float atan2f (float, float); |
| extern float coshf (float); |
| extern float sinhf (float); |
| extern float expf (float); |
| extern float ldexpf (float, int); |
| extern float logf (float); |
| extern float log10f (float); |
| extern float powf (float, float); |
| extern float sqrtf (float); |
| extern float fmodf (float, float); |
| |
| /* Other single precision functions. */ |
| |
| extern float exp2f (float); |
| extern float scalblnf (float, long int); |
| extern float tgammaf (float); |
| extern float nearbyintf (float); |
| extern long int lrintf (float); |
| extern long long int llrintf (float); |
| extern float roundf (float); |
| extern long int lroundf (float); |
| extern long long int llroundf (float); |
| extern float truncf (float); |
| extern float remquof (float, float, int *); |
| extern float fdimf (float, float); |
| extern float fmaxf (float, float); |
| extern float fminf (float, float); |
| extern float fmaf (float, float, float); |
| |
| extern float infinityf (void); |
| extern float nanf (const char *); |
| extern float copysignf (float, float); |
| extern float logbf (float); |
| extern int ilogbf (float); |
| |
| extern float asinhf (float); |
| extern float cbrtf (float); |
| extern float nextafterf (float, float); |
| extern float rintf (float); |
| extern float scalbnf (float, int); |
| extern float scalbf (float, float); |
| extern float log1pf (float); |
| extern float expm1f (float); |
| extern float getpayloadf(const float *x); |
| extern float significandf (float); |
| |
| extern float acoshf (float); |
| extern float atanhf (float); |
| extern float remainderf (float, float); |
| extern float gammaf (float); |
| extern float lgammaf (float); |
| extern float erff (float); |
| extern float erfcf (float); |
| extern float log2f (float); |
| extern float hypotf (float, float); |
| |
| #ifdef _HAVE_LONG_DOUBLE |
| |
| /* These functions are always available for long double */ |
| |
| extern long double hypotl (long double, long double); |
| extern long double sqrtl (long double); |
| extern long double frexpl (long double, int *); |
| extern long double scalbnl (long double, int); |
| extern long double scalblnl (long double, long); |
| extern long double rintl (long double); |
| extern long int lrintl (long double); |
| extern long long int llrintl (long double); |
| extern int ilogbl (long double); |
| extern long double logbl (long double); |
| extern long double ldexpl (long double, int); |
| extern long double nearbyintl (long double); |
| extern long double ceill (long double); |
| extern long double fmaxl (long double, long double); |
| extern long double fminl (long double, long double); |
| extern long double roundl (long double); |
| extern long lroundl (long double); |
| extern long long int llroundl (long double); |
| extern long double truncl (long double); |
| extern long double nanl (const char *); |
| extern long double floorl (long double); |
| /* Compiler provides these */ |
| extern long double fabsl (long double); |
| extern long double copysignl (long double, long double); |
| |
| #ifdef _HAVE_LONG_DOUBLE_MATH |
| extern long double atanl (long double); |
| extern long double cosl (long double); |
| extern long double sinl (long double); |
| extern long double tanl (long double); |
| extern long double tanhl (long double); |
| extern long double modfl (long double, long double *); |
| extern long double log1pl (long double); |
| extern long double expm1l (long double); |
| extern long double acosl (long double); |
| extern long double asinl (long double); |
| extern long double atan2l (long double, long double); |
| extern long double coshl (long double); |
| extern long double sinhl (long double); |
| extern long double expl (long double); |
| extern long double logl (long double); |
| extern long double log10l (long double); |
| extern long double powl (long double, long double); |
| extern long double fmodl (long double, long double); |
| extern long double asinhl (long double); |
| extern long double cbrtl (long double); |
| extern long double nextafterl (long double, long double); |
| extern float nexttowardf (float, long double); |
| extern double nexttoward (double, long double); |
| extern long double nexttowardl (long double, long double); |
| extern long double log2l (long double); |
| extern long double exp2l (long double); |
| extern long double scalbl (long double, long double); |
| extern long double tgammal (long double); |
| extern long double remquol (long double, long double, int *); |
| extern long double fdiml (long double, long double); |
| extern long double fmal (long double, long double, long double); |
| extern long double acoshl (long double); |
| extern long double atanhl (long double); |
| extern long double remainderl (long double, long double); |
| extern long double lgammal (long double); |
| extern long double gammal (long double); |
| extern long double erfl (long double); |
| extern long double erfcl (long double); |
| extern long double j0l(long double); |
| extern long double y0l(long double); |
| extern long double j1l(long double); |
| extern long double y1l(long double); |
| extern long double jnl(int, long double); |
| extern long double ynl(int, long double); |
| |
| extern long double getpayloadl(const long double *x); |
| extern long double significandl(long double); |
| |
| #endif /* _HAVE_LONG_DOUBLE_MATH */ |
| |
| #endif /* _HAVE_LONG_DOUBLE */ |
| |
| #endif /* __ISO_C_VISIBLE >= 1999 */ |
| |
| #if __MISC_VISIBLE |
| extern double drem (double, double); |
| extern float dremf (float, float); |
| #ifdef _HAVE_LONG_DOUBLE_MATH |
| extern long double dreml (long double, long double); |
| extern long double lgammal_r (long double, int *); |
| #endif |
| extern double lgamma_r (double, int *); |
| extern float lgammaf_r (float, int *); |
| #endif |
| |
| #if __MISC_VISIBLE || __XSI_VISIBLE |
| extern double y0 (double); |
| extern double y1 (double); |
| extern double yn (int, double); |
| extern double j0 (double); |
| extern double j1 (double); |
| extern double jn (int, double); |
| #endif |
| |
| #if __MISC_VISIBLE || __XSI_VISIBLE >= 600 |
| extern float y0f (float); |
| extern float y1f (float); |
| extern float ynf (int, float); |
| extern float j0f (float); |
| extern float j1f (float); |
| extern float jnf (int, float); |
| #endif |
| |
| /* GNU extensions */ |
| #if __GNU_VISIBLE |
| extern void sincos (double, double *, double *); |
| extern void sincosf (float, float *, float *); |
| #ifdef _HAVE_LONG_DOUBLE_MATH |
| extern void sincosl (long double, long double *, long double *); |
| #endif |
| extern double exp10 (double); |
| extern double pow10 (double); |
| extern float exp10f (float); |
| extern float pow10f (float); |
| #ifdef _HAVE_LONG_DOUBLE_MATH |
| extern long double exp10l (long double); |
| extern long double pow10l (long double); |
| #endif |
| #endif /* __GNU_VISIBLE */ |
| |
| #if __MISC_VISIBLE || __XSI_VISIBLE |
| extern int signgam; |
| #endif /* __MISC_VISIBLE || __XSI_VISIBLE */ |
| |
| /* Useful constants. */ |
| |
| #if __BSD_VISIBLE || __XSI_VISIBLE |
| |
| #define MAXFLOAT 3.40282347e+38F |
| |
| #define M_E 2.7182818284590452354 |
| #define _M_E_L 2.718281828459045235360287471352662498L |
| #define M_LOG2E 1.4426950408889634074 |
| #define M_LOG10E 0.43429448190325182765 |
| #define M_LN2 _M_LN2 |
| #define M_LN10 2.30258509299404568402 |
| #define M_PI 3.14159265358979323846 |
| #define _M_PI_L 3.141592653589793238462643383279502884L |
| #define M_PI_2 1.57079632679489661923 |
| #define _M_PI_2 1.57079632679489661923 |
| #define _M_PI_2L 1.570796326794896619231321691639751442L |
| #define M_PI_4 0.78539816339744830962 |
| #define _M_PI_4L 0.785398163397448309615660845819875721L |
| #define M_1_PI 0.31830988618379067154 |
| #define M_2_PI 0.63661977236758134308 |
| #define M_2_SQRTPI 1.12837916709551257390 |
| #define M_SQRT2 1.41421356237309504880 |
| #define M_SQRT1_2 0.70710678118654752440 |
| |
| #ifdef __GNU_VISIBLE |
| #define M_PIl _M_PI_L |
| #define M_PI_2l _M_PI_2L |
| #define M_PI_4l _M_PI_4L |
| #define M_El _M_E_L |
| #endif |
| |
| #endif |
| |
| #if __BSD_VISIBLE |
| |
| #define M_TWOPI (M_PI * 2.0) |
| #define M_3PI_4 2.3561944901923448370E0 |
| #define M_SQRTPI 1.77245385090551602792981 |
| #define M_LN2LO 1.9082149292705877000E-10 |
| #define M_LN2HI 6.9314718036912381649E-1 |
| #define M_SQRT3 1.73205080756887719000 |
| #define M_IVLN10 0.43429448190325182765 /* 1 / log(10) */ |
| #define _M_IVLN10L 0.43429448190325182765112891891660508229439700580366656611445378316586464920887L |
| #define M_LOG2_E _M_LN2 |
| #define M_INVLN2 1.4426950408889633870E0 /* 1 / log(2) */ |
| |
| #endif /* __BSD_VISIBLE */ |
| |
| #include <machine/math.h> |
| |
| _END_STD_C |
| |
| #ifdef __FAST_MATH__ |
| #include <machine/fastmath.h> |
| #endif |
| |
| #endif /* _MATH_H_ */ |
