gcc/libgfortran/intrinsics/erfc_scaled.c

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re PR fortran/33197 (Fortran 2008: math functions) PR fortran/33197 gcc/fortran/ * intrinsic.c (add_functions): Modify intrinsics ACOSH, ASINH, ATANH, ERF, ERFC and GAMMA. Add intrinsics BESSEL_{J,Y}{0,1,N}, ERFC_SCALED, LOG_GAMMA and HYPOT. * intrinsic.h (gfc_check_hypot, gfc_simplify_hypot, gfc_resolve_hypot): New prototypes. * mathbuiltins.def: Add HYPOT builtin. Make complex versions of ACOSH, ASINH and ATANH available. * gfortran.h (GFC_ISYM_ERFC_SCALED, GFC_ISYM_HYPOT): New values. * lang.opt: Add -std=f2008 option. * libgfortran.h: Define GFC_STD_F2008. * lang-specs.h: Add .f08 and .F08 file suffixes. * iresolve.c (gfc_resolve_hypot): New function. * parse.c (parse_contained): Allow empty CONTAINS for Fortran 2008. * check.c (gfc_check_hypot): New function. * trans-intrinsic.c (gfc_intrinsic_map): Define ERFC_SCALE builtin. * options.c (set_default_std_flags): Allow Fortran 2008 by default. (form_from_filename): Add .f08 suffix. (gfc_handle_option): Handle -std=f2008 option. * simplify.c (gfc_simplify_hypot): New function. * gfortran.texi: Document Fortran 2008 status and file extensions. * intrinsic.texi: Document new BESSEL_{J,Y}{0,1,N} intrinsics, as well as HYPOT and ERFC_SCALED. Update documentation of ERF, ERFC, GAMMA, LGAMMA, ASINH, ACOSH and ATANH. * invoke.texi: Document the new -std=f2008 option. libgomp/ * testsuite/libgomp.fortran/fortran.exp: Add .f08 and .F08 file suffixes. gcc/testsuite/ * gfortran.dg/gomp/gomp.exp: Add .f08 and .F08 file suffixes. * gfortran.dg/dg.exp: Likewise. * gfortran.dg/vect/vect.exp: Likewise. * gfortran.fortran-torture/execute/execute.exp: Likewise. * gfortran.fortran-torture/compile/compile.exp: Likewise. * gfortran.dg/gamma_1.f90: Also check log_gamma. * gfortran.dg/invalid_contains_1.f90: Remove warning about empty CONTAINS. * gfortran.dg/gamma_2.f90: Add a few error messages. * gfortran.dg/invalid_contains_2.f90: Remove warning about empty CONTAINS. * gfortran.dg/gamma_3.f90: Adjust error message. * gfortran.dg/gamma_4.f90: Test for log_gamma instead of lgamma. * gfortran.dg/bind_c_usage_9.f03: Adjust error messages. * gfortran.dg/bessel_1.f90: New test. * gfortran.dg/recursive_check_3.f90: Remove warnings. * gfortran.dg/besxy.f90: Also check for new F2008 intrinsics. * gfortran.dg/derived_function_interface_1.f90: Remove warning. * gfortran.dg/contains_empty_1.f03: New test. * gfortran.dg/erfc_scaled_1.f90: New test. * gfortran.dg/hypot_1.f90: New test. * gfortran.dg/contains_empty_2.f03: New test. libgfortran/ * intrinsics/erfc_scaled_inc.c: New file. * intrinsics/erfc_scaled.c: New file. * gfortran.map (GFORTRAN_1.0): Add _gfortran_erfc_scaled_r*. * Makefile.am: Add intrinsics/erfc_scaled.c. * config.h.in: Regenerate. * configure: Regenerate. * Makefile.in: Regenerate. From-SVN: r132846
2008-03-04 00:46:20 +01:00
/* Implementation of the ERFC_SCALED intrinsic.
Copyright (C) 2008-2014 Free Software Foundation, Inc.
re PR fortran/33197 (Fortran 2008: math functions) PR fortran/33197 gcc/fortran/ * intrinsic.c (add_functions): Modify intrinsics ACOSH, ASINH, ATANH, ERF, ERFC and GAMMA. Add intrinsics BESSEL_{J,Y}{0,1,N}, ERFC_SCALED, LOG_GAMMA and HYPOT. * intrinsic.h (gfc_check_hypot, gfc_simplify_hypot, gfc_resolve_hypot): New prototypes. * mathbuiltins.def: Add HYPOT builtin. Make complex versions of ACOSH, ASINH and ATANH available. * gfortran.h (GFC_ISYM_ERFC_SCALED, GFC_ISYM_HYPOT): New values. * lang.opt: Add -std=f2008 option. * libgfortran.h: Define GFC_STD_F2008. * lang-specs.h: Add .f08 and .F08 file suffixes. * iresolve.c (gfc_resolve_hypot): New function. * parse.c (parse_contained): Allow empty CONTAINS for Fortran 2008. * check.c (gfc_check_hypot): New function. * trans-intrinsic.c (gfc_intrinsic_map): Define ERFC_SCALE builtin. * options.c (set_default_std_flags): Allow Fortran 2008 by default. (form_from_filename): Add .f08 suffix. (gfc_handle_option): Handle -std=f2008 option. * simplify.c (gfc_simplify_hypot): New function. * gfortran.texi: Document Fortran 2008 status and file extensions. * intrinsic.texi: Document new BESSEL_{J,Y}{0,1,N} intrinsics, as well as HYPOT and ERFC_SCALED. Update documentation of ERF, ERFC, GAMMA, LGAMMA, ASINH, ACOSH and ATANH. * invoke.texi: Document the new -std=f2008 option. libgomp/ * testsuite/libgomp.fortran/fortran.exp: Add .f08 and .F08 file suffixes. gcc/testsuite/ * gfortran.dg/gomp/gomp.exp: Add .f08 and .F08 file suffixes. * gfortran.dg/dg.exp: Likewise. * gfortran.dg/vect/vect.exp: Likewise. * gfortran.fortran-torture/execute/execute.exp: Likewise. * gfortran.fortran-torture/compile/compile.exp: Likewise. * gfortran.dg/gamma_1.f90: Also check log_gamma. * gfortran.dg/invalid_contains_1.f90: Remove warning about empty CONTAINS. * gfortran.dg/gamma_2.f90: Add a few error messages. * gfortran.dg/invalid_contains_2.f90: Remove warning about empty CONTAINS. * gfortran.dg/gamma_3.f90: Adjust error message. * gfortran.dg/gamma_4.f90: Test for log_gamma instead of lgamma. * gfortran.dg/bind_c_usage_9.f03: Adjust error messages. * gfortran.dg/bessel_1.f90: New test. * gfortran.dg/recursive_check_3.f90: Remove warnings. * gfortran.dg/besxy.f90: Also check for new F2008 intrinsics. * gfortran.dg/derived_function_interface_1.f90: Remove warning. * gfortran.dg/contains_empty_1.f03: New test. * gfortran.dg/erfc_scaled_1.f90: New test. * gfortran.dg/hypot_1.f90: New test. * gfortran.dg/contains_empty_2.f03: New test. libgfortran/ * intrinsics/erfc_scaled_inc.c: New file. * intrinsics/erfc_scaled.c: New file. * gfortran.map (GFORTRAN_1.0): Add _gfortran_erfc_scaled_r*. * Makefile.am: Add intrinsics/erfc_scaled.c. * config.h.in: Regenerate. * configure: Regenerate. * Makefile.in: Regenerate. From-SVN: r132846
2008-03-04 00:46:20 +01:00
This file is part of the GNU Fortran runtime library (libgfortran).
Libgfortran is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public
License as published by the Free Software Foundation; either
version 3 of the License, or (at your option) any later version.
re PR fortran/33197 (Fortran 2008: math functions) PR fortran/33197 gcc/fortran/ * intrinsic.c (add_functions): Modify intrinsics ACOSH, ASINH, ATANH, ERF, ERFC and GAMMA. Add intrinsics BESSEL_{J,Y}{0,1,N}, ERFC_SCALED, LOG_GAMMA and HYPOT. * intrinsic.h (gfc_check_hypot, gfc_simplify_hypot, gfc_resolve_hypot): New prototypes. * mathbuiltins.def: Add HYPOT builtin. Make complex versions of ACOSH, ASINH and ATANH available. * gfortran.h (GFC_ISYM_ERFC_SCALED, GFC_ISYM_HYPOT): New values. * lang.opt: Add -std=f2008 option. * libgfortran.h: Define GFC_STD_F2008. * lang-specs.h: Add .f08 and .F08 file suffixes. * iresolve.c (gfc_resolve_hypot): New function. * parse.c (parse_contained): Allow empty CONTAINS for Fortran 2008. * check.c (gfc_check_hypot): New function. * trans-intrinsic.c (gfc_intrinsic_map): Define ERFC_SCALE builtin. * options.c (set_default_std_flags): Allow Fortran 2008 by default. (form_from_filename): Add .f08 suffix. (gfc_handle_option): Handle -std=f2008 option. * simplify.c (gfc_simplify_hypot): New function. * gfortran.texi: Document Fortran 2008 status and file extensions. * intrinsic.texi: Document new BESSEL_{J,Y}{0,1,N} intrinsics, as well as HYPOT and ERFC_SCALED. Update documentation of ERF, ERFC, GAMMA, LGAMMA, ASINH, ACOSH and ATANH. * invoke.texi: Document the new -std=f2008 option. libgomp/ * testsuite/libgomp.fortran/fortran.exp: Add .f08 and .F08 file suffixes. gcc/testsuite/ * gfortran.dg/gomp/gomp.exp: Add .f08 and .F08 file suffixes. * gfortran.dg/dg.exp: Likewise. * gfortran.dg/vect/vect.exp: Likewise. * gfortran.fortran-torture/execute/execute.exp: Likewise. * gfortran.fortran-torture/compile/compile.exp: Likewise. * gfortran.dg/gamma_1.f90: Also check log_gamma. * gfortran.dg/invalid_contains_1.f90: Remove warning about empty CONTAINS. * gfortran.dg/gamma_2.f90: Add a few error messages. * gfortran.dg/invalid_contains_2.f90: Remove warning about empty CONTAINS. * gfortran.dg/gamma_3.f90: Adjust error message. * gfortran.dg/gamma_4.f90: Test for log_gamma instead of lgamma. * gfortran.dg/bind_c_usage_9.f03: Adjust error messages. * gfortran.dg/bessel_1.f90: New test. * gfortran.dg/recursive_check_3.f90: Remove warnings. * gfortran.dg/besxy.f90: Also check for new F2008 intrinsics. * gfortran.dg/derived_function_interface_1.f90: Remove warning. * gfortran.dg/contains_empty_1.f03: New test. * gfortran.dg/erfc_scaled_1.f90: New test. * gfortran.dg/hypot_1.f90: New test. * gfortran.dg/contains_empty_2.f03: New test. libgfortran/ * intrinsics/erfc_scaled_inc.c: New file. * intrinsics/erfc_scaled.c: New file. * gfortran.map (GFORTRAN_1.0): Add _gfortran_erfc_scaled_r*. * Makefile.am: Add intrinsics/erfc_scaled.c. * config.h.in: Regenerate. * configure: Regenerate. * Makefile.in: Regenerate. From-SVN: r132846
2008-03-04 00:46:20 +01:00
Libgfortran is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
Under Section 7 of GPL version 3, you are granted additional
permissions described in the GCC Runtime Library Exception, version
3.1, as published by the Free Software Foundation.
You should have received a copy of the GNU General Public License and
a copy of the GCC Runtime Library Exception along with this program;
see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
<http://www.gnu.org/licenses/>. */
re PR fortran/33197 (Fortran 2008: math functions) PR fortran/33197 gcc/fortran/ * intrinsic.c (add_functions): Modify intrinsics ACOSH, ASINH, ATANH, ERF, ERFC and GAMMA. Add intrinsics BESSEL_{J,Y}{0,1,N}, ERFC_SCALED, LOG_GAMMA and HYPOT. * intrinsic.h (gfc_check_hypot, gfc_simplify_hypot, gfc_resolve_hypot): New prototypes. * mathbuiltins.def: Add HYPOT builtin. Make complex versions of ACOSH, ASINH and ATANH available. * gfortran.h (GFC_ISYM_ERFC_SCALED, GFC_ISYM_HYPOT): New values. * lang.opt: Add -std=f2008 option. * libgfortran.h: Define GFC_STD_F2008. * lang-specs.h: Add .f08 and .F08 file suffixes. * iresolve.c (gfc_resolve_hypot): New function. * parse.c (parse_contained): Allow empty CONTAINS for Fortran 2008. * check.c (gfc_check_hypot): New function. * trans-intrinsic.c (gfc_intrinsic_map): Define ERFC_SCALE builtin. * options.c (set_default_std_flags): Allow Fortran 2008 by default. (form_from_filename): Add .f08 suffix. (gfc_handle_option): Handle -std=f2008 option. * simplify.c (gfc_simplify_hypot): New function. * gfortran.texi: Document Fortran 2008 status and file extensions. * intrinsic.texi: Document new BESSEL_{J,Y}{0,1,N} intrinsics, as well as HYPOT and ERFC_SCALED. Update documentation of ERF, ERFC, GAMMA, LGAMMA, ASINH, ACOSH and ATANH. * invoke.texi: Document the new -std=f2008 option. libgomp/ * testsuite/libgomp.fortran/fortran.exp: Add .f08 and .F08 file suffixes. gcc/testsuite/ * gfortran.dg/gomp/gomp.exp: Add .f08 and .F08 file suffixes. * gfortran.dg/dg.exp: Likewise. * gfortran.dg/vect/vect.exp: Likewise. * gfortran.fortran-torture/execute/execute.exp: Likewise. * gfortran.fortran-torture/compile/compile.exp: Likewise. * gfortran.dg/gamma_1.f90: Also check log_gamma. * gfortran.dg/invalid_contains_1.f90: Remove warning about empty CONTAINS. * gfortran.dg/gamma_2.f90: Add a few error messages. * gfortran.dg/invalid_contains_2.f90: Remove warning about empty CONTAINS. * gfortran.dg/gamma_3.f90: Adjust error message. * gfortran.dg/gamma_4.f90: Test for log_gamma instead of lgamma. * gfortran.dg/bind_c_usage_9.f03: Adjust error messages. * gfortran.dg/bessel_1.f90: New test. * gfortran.dg/recursive_check_3.f90: Remove warnings. * gfortran.dg/besxy.f90: Also check for new F2008 intrinsics. * gfortran.dg/derived_function_interface_1.f90: Remove warning. * gfortran.dg/contains_empty_1.f03: New test. * gfortran.dg/erfc_scaled_1.f90: New test. * gfortran.dg/hypot_1.f90: New test. * gfortran.dg/contains_empty_2.f03: New test. libgfortran/ * intrinsics/erfc_scaled_inc.c: New file. * intrinsics/erfc_scaled.c: New file. * gfortran.map (GFORTRAN_1.0): Add _gfortran_erfc_scaled_r*. * Makefile.am: Add intrinsics/erfc_scaled.c. * config.h.in: Regenerate. * configure: Regenerate. * Makefile.in: Regenerate. From-SVN: r132846
2008-03-04 00:46:20 +01:00
#include "libgfortran.h"
/* This implementation of ERFC_SCALED is based on the netlib algorithm
available at http://www.netlib.org/specfun/erf */
#ifdef HAVE_GFC_REAL_4
#undef KIND
#define KIND 4
#include "erfc_scaled_inc.c"
#endif
#ifdef HAVE_GFC_REAL_8
#undef KIND
#define KIND 8
#include "erfc_scaled_inc.c"
#endif
#ifdef HAVE_GFC_REAL_10
#undef KIND
#define KIND 10
#include "erfc_scaled_inc.c"
#endif
#ifdef HAVE_GFC_REAL_16
/* For quadruple-precision, netlib's implementation is
not accurate enough. We provide another one. */
#ifdef GFC_REAL_16_IS_FLOAT128
# define _THRESH -106.566990228185312813205074546585730Q
# define _M_2_SQRTPI M_2_SQRTPIq
# define _INF __builtin_infq()
# define _ERFC(x) erfcq(x)
# define _EXP(x) expq(x)
#else
# define _THRESH -106.566990228185312813205074546585730L
# ifndef M_2_SQRTPIl
# define M_2_SQRTPIl 1.128379167095512573896158903121545172L
# endif
# define _M_2_SQRTPI M_2_SQRTPIl
# define _INF __builtin_infl()
# ifdef HAVE_ERFCL
# define _ERFC(x) erfcl(x)
# endif
# ifdef HAVE_EXPL
# define _EXP(x) expl(x)
# endif
#endif
#if defined(_ERFC) && defined(_EXP)
extern GFC_REAL_16 erfc_scaled_r16 (GFC_REAL_16);
export_proto(erfc_scaled_r16);
GFC_REAL_16
erfc_scaled_r16 (GFC_REAL_16 x)
{
if (x < _THRESH)
{
return _INF;
}
if (x < 12)
{
/* Compute directly as ERFC_SCALED(x) = ERFC(x) * EXP(X**2).
This is not perfect, but much better than netlib. */
return _ERFC(x) * _EXP(x * x);
}
else
{
/* Calculate ERFC_SCALED(x) using a power series in 1/x:
ERFC_SCALED(x) = 1 / (x * sqrt(pi))
* (1 + Sum_n (-1)**n * (1 * 3 * 5 * ... * (2n-1))
/ (2 * x**2)**n)
*/
GFC_REAL_16 sum = 0, oldsum;
GFC_REAL_16 inv2x2 = 1 / (2 * x * x);
GFC_REAL_16 fac = 1;
int n = 1;
while (n < 200)
{
fac *= - (2*n - 1) * inv2x2;
oldsum = sum;
sum += fac;
if (sum == oldsum)
break;
n++;
}
return (1 + sum) / x * (_M_2_SQRTPI / 2);
}
}
#endif
#endif