// // Copyright (C) 2000, 2001, Intel Corporation // All rights reserved. // // Contributed 2/2/2000 by John Harrison, Ted Kubaska, Bob Norin, Shane Story, // and Ping Tak Peter Tang of the Computational Software Lab, Intel Corporation. // // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are // met: // // * Redistributions of source code must retain the above copyright // notice, this list of conditions and the following disclaimer. // // * 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. // // * The name of Intel Corporation may not be used to endorse or promote // products derived from this software without specific prior written // permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS 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 INTEL OR ITS // 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. // // Intel Corporation is the author of this code, and requests that all // problem reports or change requests be submitted to it directly at // http://developer.intel.com/opensource. // // History: 02/02/2000 Initial version // 2/28/2000 added tags for logb and nextafter // 3/22/2000 Changes to support _LIB_VERSION variable // and filled some enum gaps. Added support for C99. // 5/31/2000 added prototypes for __libm_frexp_4l/8l // 8/10/2000 Changed declaration of _LIB_VERSION to work for library // builds and other application builds (precompiler directives). // 8/11/2000 Added pointers-to-matherr-functions declarations to allow // for user-defined matherr functions in the dll build. // 12/07/2000 Added scalbn error_types values. // #ifndef __ASSEMBLER__ #include float __libm_frexp_4f( float x, int* exp); float _GI___libm_frexp_4f( float x, int* exp); float __libm_frexp_8f( float x, int* exp); double __libm_frexp_4( double x, int* exp); double _GI___libm_frexp_4( double x, int* exp); double __libm_frexp_8( double x, int* exp); long double __libm_frexp_4l( long double x, int* exp); long double _GI___libm_frexp_4l( long double x, int* exp); long double __libm_frexp_8l( long double x, int* exp); void __libm_sincos_pi4(double,double*,double*,int); void __libm_y0y1(double , double *, double *); void __libm_j0j1(double , double *, double *); double __libm_lgamma_kernel(double,int*,int,int); double __libm_j0(double); double __libm_j1(double); double __libm_jn(int,double); double __libm_y0(double); double __libm_y1(double); double __libm_yn(int,double); extern double rint(double); extern double sqrt(double); extern double fabs(double); extern double log(double); extern double log1p(double); extern double sqrt(double); extern double sin(double); extern double exp(double); extern double modf(double, double *); extern double asinh(double); extern double acosh(double); extern double atanh(double); extern double tanh(double); extern double erf(double); extern double erfc(double); extern double j0(double); extern double j1(double); extern double jn(int, double); extern double y0(double); extern double y1(double); extern double yn(int, double); extern float fabsf(float); extern float asinhf(float); extern float acoshf(float); extern float atanhf(float); extern float tanhf(float); extern float erff(float); extern float erfcf(float); extern float j0f(float); extern float j1f(float); extern float jnf(int, float); extern float y0f(float); extern float y1f(float); extern float ynf(int, float); extern long double log1pl(long double); extern long double logl(long double); extern long double sqrtl(long double); extern long double expl(long double); extern long lround(double); extern long lroundf(float); extern long lroundl(long double); #if !(defined(SIZE_INT_32) || defined(SIZE_INT_64)) #error integer size not established; define SIZE_INT_32 or SIZE_INT_64 #endif struct fp64 { /*/ sign:1 exponent:11 significand:52 (implied leading 1)*/ unsigned lo_significand:32; unsigned hi_significand:20; unsigned exponent:11; unsigned sign:1; }; #define HI_SIGNIFICAND_LESS(X, HI) ((X)->hi_significand < 0x ## HI) #define f64abs(x) ((x) < 0.0 ? -(x) : (x)) typedef enum { logl_zero=0, logl_negative, /* 0, 1 */ log_zero, log_negative, /* 2, 3 */ logf_zero, logf_negative, /* 4, 5 */ log10l_zero, log10l_negative, /* 6, 7 */ log10_zero, log10_negative, /* 8, 9 */ log10f_zero, log10f_negative, /* 10, 11 */ expl_overflow, expl_underflow, /* 12, 13 */ exp_overflow, exp_underflow, /* 14, 15 */ expf_overflow, expf_underflow, /* 16, 17 */ powl_overflow, powl_underflow, /* 18, 19 */ powl_zero_to_zero, /* 20 */ powl_zero_to_negative, /* 21 */ powl_neg_to_non_integer, /* 22 */ powl_nan_to_zero, /* 23 */ pow_overflow, pow_underflow, /* 24, 25 */ pow_zero_to_zero, /* 26 */ pow_zero_to_negative, /* 27 */ pow_neg_to_non_integer, /* 28 */ pow_nan_to_zero, /* 29 */ powf_overflow, powf_underflow, /* 30, 31 */ powf_zero_to_zero, /* 32 */ powf_zero_to_negative, /* 33 */ powf_neg_to_non_integer, /* 34 */ powf_nan_to_zero, /* 35 */ atan2l_zero, /* 36 */ atan2_zero, /* 37 */ atan2f_zero, /* 38 */ expm1l_overflow, /* 39 */ expm1l_underflow, /* 40 */ expm1_overflow, /* 41 */ expm1_underflow, /* 42 */ expm1f_overflow, /* 43 */ expm1f_underflow, /* 44 */ hypotl_overflow, /* 45 */ hypot_overflow, /* 46 */ hypotf_overflow, /* 47 */ sqrtl_negative, /* 48 */ sqrt_negative, /* 49 */ sqrtf_negative, /* 50 */ scalbl_overflow, scalbl_underflow, /* 51, 52 */ scalb_overflow, scalb_underflow, /* 53, 54 */ scalbf_overflow, scalbf_underflow, /* 55, 56 */ acosl_gt_one, acos_gt_one, acosf_gt_one, /* 57, 58, 59 */ asinl_gt_one, asin_gt_one, asinf_gt_one, /* 60, 61, 62 */ coshl_overflow, cosh_overflow, coshf_overflow, /* 63, 64, 65 */ y0l_zero, y0l_negative,y0l_gt_loss, /* 66, 67, 68 */ y0_zero, y0_negative,y0_gt_loss, /* 69, 70, 71 */ y0f_zero, y0f_negative,y0f_gt_loss, /* 72, 73, 74 */ y1l_zero, y1l_negative,y1l_gt_loss, /* 75, 76, 77 */ y1_zero, y1_negative,y1_gt_loss, /* 78, 79, 80 */ y1f_zero, y1f_negative,y1f_gt_loss, /* 81, 82, 83 */ ynl_zero, ynl_negative,ynl_gt_loss, /* 84, 85, 86 */ yn_zero, yn_negative,yn_gt_loss, /* 87, 88, 89 */ ynf_zero, ynf_negative,ynf_gt_loss, /* 90, 91, 92 */ j0l_gt_loss, /* 93 */ j0_gt_loss, /* 94 */ j0f_gt_loss, /* 95 */ j1l_gt_loss, /* 96 */ j1_gt_loss, /* 97 */ j1f_gt_loss, /* 98 */ jnl_gt_loss, /* 99 */ jn_gt_loss, /* 100 */ jnf_gt_loss, /* 101 */ lgammal_overflow, lgammal_negative,lgammal_reserve, /* 102, 103, 104 */ lgamma_overflow, lgamma_negative,lgamma_reserve, /* 105, 106, 107 */ lgammaf_overflow, lgammaf_negative, lgammaf_reserve,/* 108, 109, 110 */ gammal_overflow,gammal_negative, gammal_reserve, /* 111, 112, 113 */ gamma_overflow, gamma_negative, gamma_reserve, /* 114, 115, 116 */ gammaf_overflow,gammaf_negative,gammaf_reserve, /* 117, 118, 119 */ fmodl_by_zero, /* 120 */ fmod_by_zero, /* 121 */ fmodf_by_zero, /* 122 */ remainderl_by_zero, /* 123 */ remainder_by_zero, /* 124 */ remainderf_by_zero, /* 125 */ sinhl_overflow, sinh_overflow, sinhf_overflow, /* 126, 127, 128 */ atanhl_gt_one, atanhl_eq_one, /* 129, 130 */ atanh_gt_one, atanh_eq_one, /* 131, 132 */ atanhf_gt_one, atanhf_eq_one, /* 133, 134 */ acoshl_lt_one, /* 135 */ acosh_lt_one, /* 136 */ acoshf_lt_one, /* 137 */ log1pl_zero, log1pl_negative, /* 138, 139 */ log1p_zero, log1p_negative, /* 140, 141 */ log1pf_zero, log1pf_negative, /* 142, 143 */ ldexpl_overflow, ldexpl_underflow, /* 144, 145 */ ldexp_overflow, ldexp_underflow, /* 146, 147 */ ldexpf_overflow, ldexpf_underflow, /* 148, 149 */ logbl_zero, logb_zero, logbf_zero, /* 150, 151, 152 */ nextafterl_overflow, nextafter_overflow, nextafterf_overflow, /* 153, 154, 155 */ ilogbl_zero, ilogb_zero, ilogbf_zero, /* 156, 157, 158 */ exp2l_overflow, exp2l_underflow, /* 159, 160 */ exp2_overflow, exp2_underflow, /* 161, 162 */ exp2f_overflow, exp2f_underflow, /* 163, 164 */ exp10l_overflow, exp10_overflow, exp10f_overflow, /* 165, 166, 167 */ log2l_zero, log2l_negative, /* 168, 169 */ log2_zero, log2_negative, /* 170, 171 */ log2f_zero, log2f_negative, /* 172, 173 */ scalbnl_overflow, scalbnl_underflow, /* 174, 175 */ scalbn_overflow, scalbn_underflow, /* 176, 177 */ scalbnf_overflow, scalbnf_underflow /* 178, 179 */ } error_types; void __libm_error_support(void*,void*,void*,error_types); libc_hidden_proto(__libm_error_support) #define BIAS_64 1023 #define EXPINF_64 2047 #define DOUBLE_HEX(HI, LO) 0x ## LO, 0x ## HI #if 0 static const unsigned INF[] = { DOUBLE_HEX(7ff00000, 00000000), DOUBLE_HEX(fff00000, 00000000) }; static const double _zeroo = 0.0; static const double _bigg = 1.0e300; static const double _ponee = 1.0; static const double _nonee = -1.0; #define INVALID (_zeroo * *((double*)&INF[0])) #define PINF *((double*)&INF[0]) #define NINF -PINF #define PINF_DZ (_ponee/_zeroo) #define X_TLOSS 1.41484755040568800000e+16 #endif struct exceptionf { int type; char *name; float arg1, arg2, retval; }; # ifdef __cplusplus struct __exception { int type; char *name; double arg1, arg2, retval; }; # else # ifndef _LIBC struct exception { int type; char *name; double arg1, arg2, retval; }; # endif # endif struct exceptionl { int type; char *name; long double arg1, arg2, retval; }; #ifdef _MS_ #define MATHERR_F _matherrf #define MATHERR_D _matherr #else #define MATHERR_F matherrf #define MATHERR_D matherr #endif # ifdef __cplusplus #define EXC_DECL_D __exception #else // exception is a reserved name in C++ #define EXC_DECL_D exception #endif extern int MATHERR_F(struct exceptionf*); extern int MATHERR_D(struct EXC_DECL_D*); extern int matherrl(struct exceptionl*); /* Set these appropriately to make thread Safe */ #define ERRNO_RANGE errno = ERANGE #define ERRNO_DOMAIN errno = EDOM // Add code to support _LIB_VERSION #ifndef _LIBC typedef enum { _IEEE_ = -1, // IEEE-like behavior _SVID_, // SysV, Rel. 4 behavior _XOPEN_, // Unix98 _POSIX_, // Posix _ISOC_ // ISO C9X } _LIB_VERSION_TYPE; extern _LIB_VERSION_TYPE _LIB_VERSION; #endif // This is a run-time variable and may effect // floating point behavior of the libm functions #elif defined _LIBC # if !defined NOT_IN_libc && defined SHARED && defined DO_VERSIONING \ && !defined HAVE_BROKEN_ALIAS_ATTRIBUTE && !defined NO_HIDDEN # define __libm_error_support __GI___libm_error_support # endif #endif /* __ASSEMBLER__ */ /* Support for compatible assembler handling. */ #if !defined L && defined _LIBC #define L(name) .L##name #endif #ifdef __ELF__ #define ASM_SIZE_DIRECTIVE(name) .size name,.-name #define ASM_TYPE_DIRECTIVE(name,T) .type name,T #else #define ASM_SIZE_DIRECTIVE(name) #define ASM_TYPE_DIRECTIVE(name,T) #endif