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/*
* Copyright (c) 2017-2018, NVIDIA CORPORATION. All rights reserved.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
*/
/**
* \file
* \brief mthdecls.h - Fortran math support (all platforms/targets)
*/
/* pi/180 */
#define DEG_TO_RAD 0.174532925199432957692E-1
/* 180/pi */
#define RAD_TO_DEG 0.572957795130823208769E+2
#define CNVRTDEG(degrees) ((degrees)*DEG_TO_RAD)
#define CNVRTRAD(radians) ((radians)*RAD_TO_DEG)
#if defined(TARGET_LINUX)
#define _GNU_SOURCE
#endif
#ifndef MTH_NO_STD_MATH_HDRS
#ifdef __cplusplus
#include <cmath>
#else
#include <math.h>
#endif
#include <complex.h>
#endif
#ifdef __cplusplus
typedef _Complex float complex_float;
typedef _Complex double complex_double;
#endif
typedef struct {
float real;
float imag;
} cmplx_t;
typedef struct {
double real;
double imag;
} dcmplx_t;
#if defined(__PGIC__)
#undef creal
#define creal(x) __builtin_creal(x)
double __builtin_creal(double complex);
#undef cimag
#define cimag(x) __builtin_cimag(x)
double __builtin_cimag(double complex);
#undef crealf
#define crealf(x) __builtin_crealf(x)
float __builtin_crealf(float complex);
#undef cimagf
#define cimagf(x) __builtin_cimagf(x)
float __builtin_cimagf(float complex);
#endif
#define MTHCONCAT___(l,r) l##r
#define MTHCONCAT__(l,r) MTHCONCAT___(l,r)
#define __MTH_C99_CMPLX_SUFFIX _c99
/* Old complex ABI */
#define FLTFUNC_C_(_f) \
float _f(float real, float imag)
#define DBLFUNC_C_(_f) \
double _f(double real, double imag)
#define CMPLXFUNC_C_(_f) \
void _f(cmplx_t *cmplx, float real, float imag)
#define CMPLXFUNC_C_C_(_f) \
void _f(cmplx_t *cmplx, float real1, float imag1, \
float real2, float imag2)
#define CMPLXFUNC_C_F_(_f) \
void _f(cmplx_t *cmplx, float real, float imag, float r)
#define CMPLXFUNC_C_I_(_f) \
void _f(cmplx_t *cmplx, float real, float imag, int i)
#define CMPLXFUNC_C_K_(_f) \
void _f(cmplx_t *cmplx, float real, float imag, long long i)
#define ZMPLXFUNC_Z_(_f) \
void _f(dcmplx_t *dcmplx, double real, double imag)
#define ZMPLXFUNC_Z_Z_(_f) \
void _f(dcmplx_t *dcmplx, double real1, double imag1, \
double real2, double imag2)
#define ZMPLXFUNC_Z_D_(_f) \
void _f(dcmplx_t *dcmplx, double real, double imag, double d)
#define ZMPLXFUNC_Z_I_(_f) \
void _f(dcmplx_t *dcmplx, double real, double imag, int i)
#define ZMPLXFUNC_Z_K_(_f) \
void _f(dcmplx_t *dcmplx, double real, double imag, long long i)
/* C99 complex ABI */
#ifdef __cplusplus
#define FLTFUNC_C_C99_(_f) \
float MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(complex_float carg)
#define DBLFUNC_C_C99_(_f) \
double MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(complex_double zarg)
#define CMPLXFUNC_C_C99_(_f) \
complex_float MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(complex_float carg)
#define CMPLXFUNC_C_C_C99_(_f) \
complex_float MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(complex_float carg1, complex_float carg2)
#define CMPLXFUNC_C_F_C99_(_f) \
complex_float MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(complex_float carg, float r)
#define CMPLXFUNC_C_I_C99_(_f) \
complex_float MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(complex_float carg, int i)
#define CMPLXFUNC_C_K_C99_(_f) \
complex_float MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(complex_float carg, long long i)
#define ZMPLXFUNC_Z_C99_(_f) \
complex_double MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(complex_double zarg)
#define ZMPLXFUNC_Z_Z_C99_(_f) \
complex_double MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(complex_double zarg1, complex_double zarg2)
#define ZMPLXFUNC_Z_D_C99_(_f) \
complex_double MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(complex_double zarg, double d)
#define ZMPLXFUNC_Z_I_C99_(_f) \
complex_double MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(complex_double zarg, int i)
#define ZMPLXFUNC_Z_K_C99_(_f) \
complex_double MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(complex_double zarg, long long i)
#else
#define FLTFUNC_C_C99_(_f) \
float MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(float complex carg)
#define DBLFUNC_C_C99_(_f) \
double MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(double complex zarg)
#define CMPLXFUNC_C_C99_(_f) \
float complex MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(float complex carg)
#define CMPLXFUNC_C_C_C99_(_f) \
float complex MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(float complex carg1, float complex carg2)
#define CMPLXFUNC_C_F_C99_(_f) \
float complex MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(float complex carg, float r)
#define CMPLXFUNC_C_I_C99_(_f) \
float complex MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(float complex carg, int i)
#define CMPLXFUNC_C_K_C99_(_f) \
float complex MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(float complex carg, long long i)
#define ZMPLXFUNC_Z_C99_(_f) \
double complex MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(double complex zarg)
#define ZMPLXFUNC_Z_Z_C99_(_f) \
double complex MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(double complex zarg1, double complex zarg2)
#define ZMPLXFUNC_Z_D_C99_(_f) \
double complex MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(double complex zarg, double d)
#define ZMPLXFUNC_Z_I_C99_(_f) \
double complex MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(double complex zarg, int i)
#define ZMPLXFUNC_Z_K_C99_(_f) \
double complex MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX) \
(double complex zarg, long long i)
#endif /* __cplusplus */
#ifndef MTH_CMPLX_C99_ABI
#define FLTFUNC_C(_f) FLTFUNC_C_(_f)
#define DBLFUNC_C(_f) DBLFUNC_C_(_f)
#define CMPLXFUNC_C(_f) CMPLXFUNC_C_(_f)
#define CMPLXFUNC_C_C(_f) CMPLXFUNC_C_C_(_f)
#define CMPLXFUNC_C_F(_f) CMPLXFUNC_C_F_(_f)
#define CMPLXFUNC_C_I(_f) CMPLXFUNC_C_I_(_f)
#define CMPLXFUNC_C_K(_f) CMPLXFUNC_C_K_(_f)
#define ZMPLXFUNC_Z(_f) ZMPLXFUNC_Z_(_f)
#define ZMPLXFUNC_Z_Z(_f) ZMPLXFUNC_Z_Z_(_f)
#define ZMPLXFUNC_Z_D(_f) ZMPLXFUNC_Z_D_(_f)
#define ZMPLXFUNC_Z_I(_f) ZMPLXFUNC_Z_I_(_f)
#define ZMPLXFUNC_Z_K(_f) ZMPLXFUNC_Z_K_(_f)
#define CMPLXARGS_C
#define ZMPLXARGS_Z
#define CMPLXARGS_C_C
#define CMPLXARGS_C_F
#define CMPLXARGS_C_I
#define CMPLXARGS_C_K
#define ZMPLXARGS_Z_Z
#define ZMPLXARGS_Z_D
#define ZMPLXARGS_Z_I
#define ZMPLXARGS_Z_K
#define CRETURN_F_F(_r, _i) do { cmplx->real = (_r); cmplx->imag = (_i); return; } while (0)
#define ZRETURN_D_D(_r, _i) do { dcmplx->real = (_r); dcmplx->imag = (_i); return; } while (0)
#define CRETURN_C(_c) do { (*cmplx = *((cmplx_t *)&(_c))); return; } while (0)
#define ZRETURN_Z(_z) do { (*dcmplx = *((dcmplx_t *)&(_z))); return; } while (0)
#define CRETURN_F(_f) return (_f)
#define ZRETURN_D(_d) return (_d)
#define CMPLX_CALL_CR_C_C(_f,_cr,_c1,_c2) \
{ _f(cmplx, crealf(_c1), cimagf(_c1), crealf(_c2), cimagf(_c2)); \
*(cmplx_t *)&_cr = *cmplx; }
#define ZMPLX_CALL_ZR_Z_Z(_f,_zr,_z1,_z2) \
{ _f(dcmplx, creal(_z1), cimag(_z1), creal(_z2), cimag(_z2)); \
*(dcmplx_t *)&_zr = *dcmplx; }
#else /* #ifdef MTH_CMPLX_C99_ABI */
#define FLTFUNC_C(_f) FLTFUNC_C_C99_(_f)
#define DBLFUNC_C(_f) DBLFUNC_C_C99_(_f)
#define CMPLXFUNC_C(_f) CMPLXFUNC_C_C99_(_f)
#define CMPLXFUNC_C_C(_f) CMPLXFUNC_C_C_C99_(_f)
#define CMPLXFUNC_C_F(_f) CMPLXFUNC_C_F_C99_(_f)
#define CMPLXFUNC_C_I(_f) CMPLXFUNC_C_I_C99_(_f)
#define CMPLXFUNC_C_K(_f) CMPLXFUNC_C_K_C99_(_f)
#define ZMPLXFUNC_Z(_f) ZMPLXFUNC_Z_C99_(_f)
#define ZMPLXFUNC_Z_Z(_f) ZMPLXFUNC_Z_Z_C99_(_f)
#define ZMPLXFUNC_Z_D(_f) ZMPLXFUNC_Z_D_C99_(_f)
#define ZMPLXFUNC_Z_I(_f) ZMPLXFUNC_Z_I_C99_(_f)
#define ZMPLXFUNC_Z_K(_f) ZMPLXFUNC_Z_K_C99_(_f)
#define CMPLXARGS_C float real = crealf(carg), imag = cimagf(carg)
#define CMPLXARGS_C_C float real1 = crealf(carg1), imag1 = cimagf(carg1), \
real2 = crealf(carg2), imag2 = cimagf(carg2)
#define CMPLXARGS_C_F CMPLXARGS_C
#define CMPLXARGS_C_I CMPLXARGS_C
#define CMPLXARGS_C_K CMPLXARGS_C
#define ZMPLXARGS_Z double real = creal(zarg), imag = cimag(zarg)
#define ZMPLXARGS_Z_Z double real1 = creal(zarg1), imag1 = cimag(zarg1), \
real2 = creal(zarg2), imag2 = cimag(zarg2)
#define ZMPLXARGS_Z_D ZMPLXARGS_Z
#define ZMPLXARGS_Z_I ZMPLXARGS_Z
#define ZMPLXARGS_Z_K ZMPLXARGS_Z
#define CRETURN_F_F(_r, _i) return ((_r) + I * (_i))
#define ZRETURN_D_D(_r, _i) return ((_r) + I * (_i))
#define CRETURN_C(_c) return (_c)
#define ZRETURN_Z(_z) return (_z)
#define CRETURN_F(_f) return (_f)
#define ZRETURN_D(_d) return (_d)
#define CMPLX_CALL_CR_C_C(_f,_cr,_c1,_c2) \
{_cr = MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX)(_c1, _c2); }
#define ZMPLX_CALL_ZR_Z_Z(_f,_zr,_z1,_z2) \
{_zr = MTHCONCAT__(_f,__MTH_C99_CMPLX_SUFFIX)(_z1, _z2); }
#endif /* #ifdef MTH_CMPLX_C99_ABI */
/*
* Define complex function declarations for both old and C99 ABI.
* Declarations should only be used in mthdecls.h.
* Function definitions should use/begin with the "...FUNC_..." macros.
*
* Note: semicolon ";" in statements.
*/
#define FLTDECL_C(_f) FLTFUNC_C_(_f) ; FLTFUNC_C_C99_(_f);
#define DBLDECL_C(_f) DBLFUNC_C_(_f) ; DBLFUNC_C_C99_(_f);
#define CMPLXDECL_C(_f) CMPLXFUNC_C_(_f) ; CMPLXFUNC_C_C99_(_f);
#define CMPLXDECL_C_C(_f) CMPLXFUNC_C_C_(_f) ; CMPLXFUNC_C_C_C99_(_f);
#define CMPLXDECL_C_F(_f) CMPLXFUNC_C_F_(_f) ; CMPLXFUNC_C_F_C99_(_f);
#define CMPLXDECL_C_I(_f) CMPLXFUNC_C_I_(_f) ; CMPLXFUNC_C_I_C99_(_f);
#define CMPLXDECL_C_K(_f) CMPLXFUNC_C_K_(_f) ; CMPLXFUNC_C_K_C99_(_f);
#define ZMPLXDECL_Z(_f) ZMPLXFUNC_Z_(_f) ; ZMPLXFUNC_Z_C99_(_f);
#define ZMPLXDECL_Z_Z(_f) ZMPLXFUNC_Z_Z_(_f) ; ZMPLXFUNC_Z_Z_C99_(_f);
#define ZMPLXDECL_Z_D(_f) ZMPLXFUNC_Z_D_(_f) ; ZMPLXFUNC_Z_D_C99_(_f);
#define ZMPLXDECL_Z_I(_f) ZMPLXFUNC_Z_I_(_f) ; ZMPLXFUNC_Z_I_C99_(_f);
#define ZMPLXDECL_Z_K(_f) ZMPLXFUNC_Z_K_(_f) ; ZMPLXFUNC_Z_K_C99_(_f);
/* the following macros are defined in case a future unix release has
single precision versions of the math.h functions, in which case the
single precision versions should be used: */
#if defined(WIN64)
#define ACOSF acos
#define ASINF asin
#define ATANF atan
#define ATAN2F atan2
#define ACOSHF acosh
#define ASINHF asinh
#define ATANHF atanh
#define COSF cos
#define SINF sin
#define TANF tan
#define COSHF cosh
#define SINHF sinh
#define TANHF tanh
#define EXPF exp
#define FREXPF frexp
#define LDEXPF ldexp
#define LOGF log
#define LOG10F log10
#define MODFF modf
#define SQRTF sqrt
#define CEILF ceil
#define FABSF fabs
#define FLOORF floor
#define FMODF fmod
#define HYPOTF hypot
#define COPYSIGNF _copysignf
#define COPYSIGN _copysign
#define ERFF erf
#define ERFCF erfc
#define GAMMAF tgamma
#define LOG_GAMMAF lgamma
#define BESSEL_J0F _j0
#define BESSEL_J1F _j1
#define BESSEL_JNF _jn
#define BESSEL_Y0F _y0
#define BESSEL_Y1F _y1
#define BESSEL_YNF _yn
#define BESSEL_J0 _j0
#define BESSEL_J1 _j1
#define BESSEL_JN _jn
#define BESSEL_Y0 _y0
#define BESSEL_Y1 _y1
#define BESSEL_YN _yn
#define CACOSF cacos
#define CASINF casin
#define CATANF catan
#define CCOSHF ccosh
#define CSINHF csinh
#define CTANHF ctanh
#define CTANF ctan
/* define POWF specially here for win64 until we can leverage
* our usual builtin mechanism on that target
* Also, with MSOT8, hypot is depcrecated, and will not link
* correctly. Need to use _hypot.
*/
#define POWF __mth_i_dpowd
#ifdef __PGI_TOOLS9
#define hypot _hypot
#endif
#else /* #if defined (WIN64) */
#define ACOSF acosf
#define ASINF asinf
#define ATANF atanf
#define ATAN2F atan2f
#define ACOSHF acoshf
#define ASINHF asinhf
#define ATANHF atanhf
#define COSF cosf
#define SINF sinf
#define TANF tanf
#define COSHF coshf
#define SINHF sinhf
#define TANHF tanhf
#define EXPF expf
#define FREXPF frexp
#define LDEXPF ldexp
#define LOGF logf
#define LOG10F log10f
#define MODFF modff
#define POWF powf
#define SQRTF sqrt
#define CEILF ceilf
#define FABSF fabs
#define FLOORF floorf
#define FMODF fmodf
#ifdef __PGI_TOOLS14
#define HYPOTF _hypot
#else
#define HYPOTF hypotf
#endif
#define ERFF erff
#define ERFCF erfcf
#define GAMMAF tgammaf
#define LOG_GAMMAF lgammaf
#define COPYSIGNF copysignf
#define COPYSIGN copysign
#if !defined(TARGET_WIN)
#define CACOSF cacosf
#define CASINF casinf
#define CATANF catanf
#define CCOSHF ccoshf
#define CSINHF csinhf
#define CTANHF ctanhf
#define CTANF ctanf
#else
#define CACOSF cacos
#define CASINF casin
#define CATANF catan
#define CCOSHF ccosh
#define CSINHF csinh
#define CTANHF ctanh
#define CTANF ctan
#endif
#if defined(TARGET_WIN)
#define BESSEL_J0F _j0
#define BESSEL_J1F _j1
#define BESSEL_JNF _jn
#define BESSEL_Y0F _y0
#define BESSEL_Y1F _y1
#define BESSEL_YNF _yn
#define BESSEL_J0 _j0
#define BESSEL_J1 _j1
#define BESSEL_JN _jn
#define BESSEL_Y0 _y0
#define BESSEL_Y1 _y1
#define BESSEL_YN _yn
#elif defined(TARGET_OSX)
#define BESSEL_J0F j0
#define BESSEL_J1F j1
#define BESSEL_JNF jn
#define BESSEL_Y0F y0
#define BESSEL_Y1F y1
#define BESSEL_YNF yn
#define BESSEL_J0 j0
#define BESSEL_J1 j1
#define BESSEL_JN jn
#define BESSEL_Y0 y0
#define BESSEL_Y1 y1
#define BESSEL_YN yn
#define BESSEL_J0 j0
#define BESSEL_J1 j1
#define BESSEL_JN jn
#define BESSEL_Y0 y0
#define BESSEL_Y1 y1
#define BESSEL_YN yn
#else
#define BESSEL_J0F j0f
#define BESSEL_J1F j1f
#define BESSEL_JNF jnf
#define BESSEL_Y0F y0f
#define BESSEL_Y1F y1f
#define BESSEL_YNF ynf
#define BESSEL_J0 j0
#define BESSEL_J1 j1
#define BESSEL_JN jn
#define BESSEL_Y0 y0
#define BESSEL_Y1 y1
#define BESSEL_YN yn
#endif
#endif /* #if defined (WIN64) */
/* declarations for math functions */
float __mth_i_acos(float f);
float __mth_i_acosh(float f);
float __mth_i_alog(float f);
float __mth_i_alog10(float f);
float __mth_i_asin(float f);
float __mth_i_asinh(float f);
float __mth_i_atan(float f);
float __mth_i_atanh(float f);
float __mth_i_atan2(float f, float g);
float __mth_i_exp(float f);
float __mth_i_rpowr(float f, float g);
float __mth_i_sin(float f);
float __mth_i_sinh(float f);
float __mth_i_sqrt(float f);
float __mth_i_tan(float f);
float __mth_i_tanh(float f);
float __mth_i_amod(float f, float g);
float __mth_i_aint(float f);
float __mth_i_anint(float f);
float __mth_i_cosh(float f);
float __mth_i_cos(float f);
float __mth_i_rpowi(float x, int i);
float __mth_i_rpowk(float x, long long i);
float __pmth_i_rpowi(float x, int i); /* Compute R4**I8 in R8 precision */
float __pmth_i_rpowk(float x, long long i); /* Compute R4**I4 in R8 precision */
float __mth_i_acosd(float f);
float __mth_i_asind(float f);
float __mth_i_atand(float f);
float __mth_i_atan2d(float f, float g);
float __mth_i_sind(float f);
float __mth_i_tand(float f);
float __mth_i_cosd(float f);
float __mth_i_erf(float f);
float __mth_i_erfc(float f);
float __mth_i_erfc_scaled(float f);
float __mth_i_gamma(float f);
float __mth_i_log_gamma(float f);
float __mth_i_hypotf(float x, float y);
float __mth_i_bessel_j0(float arg);
float __mth_i_bessel_j1(float arg);
float __mth_i_bessel_jn(int n, float arg);
float __f90_bessel_jn(int n1, int n2, float f);
float __mth_i_bessel_y0(float arg);
float __mth_i_bessel_y1(float arg);
float __mth_i_bessel_yn(int n, float arg);
float __f90_bessel_yn(int n1, int n2, float f);
float __mth_i_ceil(float);
float __mth_i_floor(float);
int __mth_i_idnint(double d);
int __mth_i_mod(int i, int j);
int __mth_i_nint(float d);
int __mth_i_ipowi(int x, int i);
double __mth_i_dacos(double d);
double __mth_i_dacosh(double d);
double __mth_i_dasin(double d);
double __mth_i_dasinh(double d);
double __mth_i_datan(double d);
double __mth_i_datanh(double d);
double __mth_i_datan2(double x, double y);
double __mth_i_dcos(double d);
double __mth_i_dcosh(double d);
double __mth_i_dexp(double d);
double __mth_i_dlog(double d);
double __mth_i_dlog10(double d);
double __mth_i_dpowd(double x, double y);
double __mth_i_dsin(double d);
double __mth_i_dsinh(double d);
double __mth_i_dsqrt(double d);
double __mth_i_dtan(double d);
double __mth_i_dtanh(double d);
double __mth_i_dmod(double f, double g);
double __mth_i_dint(double d);
double __mth_i_dnint(double d);
double __mth_i_dpowi(double x, int i);
double __mth_i_dpowk(double x, long long i);
double __pmth_i_dpowi(double x, int i); /* Compute R8**I8 in R16 precision */
double __pmth_i_dpowk(double x, long long i); /* Compute R8**I4 in R16 precision */
double __mth_i_dacosd(double f);
double __mth_i_dasind(double f);
double __mth_i_datand(double f);
double __mth_i_datan2d(double f, double g);
double __mth_i_dsind(double f);
double __mth_i_dtand(double f);
double __mth_i_dcosd(double f);
double __mth_i_derf(double f);
double __mth_i_derfc(double f);
double __mth_i_derfc_scaled(double f);
double __mth_i_dgamma(double f);
double __mth_i_dlog_gamma(double f);
double __mth_i_dhypot(double, double);
double __mth_i_pow(double, double);
double __mth_i_dbessel_j0(double arg);
double __mth_i_dbessel_j1(double arg);
double __mth_i_dbessel_jn(int n, double arg);
double __f90_dbessel_jn(int n1, int n, double d);
double __mth_i_dbessel_y0(double arg);
double __mth_i_dbessel_y1(double arg);
double __mth_i_dbessel_yn(int n, double arg);
double __f90_dbessel_yn(int n1, int n, double d);
double __mth_i_dceil(double);
double __mth_i_dfloor(double);
#if ! defined (TARGET_X8664) && ! defined(LINUX8664)
/*
* See explanation below for rationale behind the two flavors of __mth_sincos.
*/
static inline void __mth_sincos(float angle, float *s, float *c)
__attribute__((always_inline));
static inline void __mth_dsincos(double angle, double *s, double *c)
__attribute__((always_inline));
#else /* ! defined (TARGET_X8664) && ! defined(LINUX8664) */
void __mth_sincos(float, float *, float *);
void __mth_dsincos(double, double *, double *);
#endif /* ! defined (TARGET_X8664) && ! defined(LINUX8664) */
FLTDECL_C(__mth_i_cabs);
CMPLXDECL_C(__mth_i_cacos);
CMPLXDECL_C(__mth_i_casin);
CMPLXDECL_C(__mth_i_catan);
CMPLXDECL_C(__mth_i_ccos);
CMPLXDECL_C(__mth_i_ccosh);
CMPLXDECL_C_C(__mth_i_cdiv);
CMPLXDECL_C_F(__mth_i_cdivr);
CMPLXDECL_C(__mth_i_cexp);
CMPLXDECL_C(__mth_i_clog);
CMPLXDECL_C_C(__mth_i_cpowc);
CMPLXDECL_C_I(__mth_i_cpowi);
CMPLXDECL_C_K(__mth_i_cpowk);
CMPLXDECL_C(__mth_i_csin);
CMPLXDECL_C(__mth_i_csinh);
CMPLXDECL_C(__mth_i_csqrt);
CMPLXDECL_C(__mth_i_ctan);
CMPLXDECL_C(__mth_i_ctanh);
DBLDECL_C(__mth_i_cdabs);
ZMPLXDECL_Z(__mth_i_cdacos);
ZMPLXDECL_Z(__mth_i_cdasin);
ZMPLXDECL_Z(__mth_i_cdatan);
ZMPLXDECL_Z(__mth_i_cdcos);
ZMPLXDECL_Z(__mth_i_cdcosh);
ZMPLXDECL_Z_Z(__mth_i_cddiv);
ZMPLXDECL_Z_D(__mth_i_cddivd);
ZMPLXDECL_Z(__mth_i_cdexp);
ZMPLXDECL_Z(__mth_i_cdlog);
ZMPLXDECL_Z_Z(__mth_i_cdpowcd);
ZMPLXDECL_Z_I(__mth_i_cdpowi);
ZMPLXDECL_Z_K(__mth_i_cdpowk);
ZMPLXDECL_Z(__mth_i_cdsin);
ZMPLXDECL_Z(__mth_i_cdsinh);
ZMPLXDECL_Z(__mth_i_cdsqrt);
ZMPLXDECL_Z(__mth_i_cdtan);
ZMPLXDECL_Z(__mth_i_cdtanh);
#if defined(TARGET_WIN)
/* the following are part of Open Tools 12, we build with Open Tools 10 */
extern double erf(double x);
extern float erff(float x);
extern double erfc(double x);
extern float erfcf(float x);
extern double lgamma(double);
extern float lgammaf(float);
extern double tgamma(double);
extern float tgammaf(float);
extern double acosh(double);
extern float acoshf(float);
extern double asinh(double);
extern float asinhf(float);
extern double atanh(double);
extern float atanhf(float);
extern double _j0(double arg);
extern double _j1(double arg);
extern double _jn(int n, double arg);
extern double _y0(double arg);
extern double _y1(double arg);
extern double _yn(int n, double arg);
extern complex float cacosf(complex float);
extern complex double cacos(complex double);
extern complex float casinf(complex float);
extern complex double casin(complex double);
extern complex float catanf(complex float);
extern complex double catan(complex double);
extern complex float ccoshf(complex float);
extern complex double ccosh(complex double);
extern complex float csinhf(complex float);
extern complex double csinh(complex double);
extern complex float ctanhf(complex float);
extern complex double ctanh(complex double);
extern complex float ctanf(complex float);
extern complex double ctan(complex double);
#endif
/*
* The following intrinsics are defined for platforms that do not have
* architecture specific versions.
* It is an attempt to standardize the math library source code across
* architectures.
*
* For example: cexp.c was coded as:
* #include "mthdecls.h"
*
* void
* __mth_i_cexp(cmplx_t *cmplx, float real, float imag)
* {
* float x, y, z;
* x = EXPF(real);
* #ifndef LINUX8664
* y = COSF(imag);
* z = SINF(imag);
* #else
* __mth_sincos(imag, &z, &y);
* #endif
* y *= x;
* z *= x;
* r_dummy(y, z);
* }
*
* The special casing of whether __mth_sincos() is available for
* individual source files is not scalable. A better alternative is to
* have a version of __mth_sincos, even if it is not external available
* during the build process.
*/
#define __mth_sincos(_a,_s,_c) sincosf(_a,_s,_c)
#define __mth_dsincos(_a,_s,_c) sincos(_a,_s,_c)
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