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author | Francois-Xavier Coudert <fxcoudert@gcc.gnu.org> | 2010-11-16 21:23:19 +0000 |
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committer | Tobias Burnus <burnus@gcc.gnu.org> | 2010-11-16 22:23:19 +0100 |
commit | 1ec601bf9fb0fbc39b3a6cb90450500f857adae8 (patch) | |
tree | e26ad385cfada5f1f2c55f92057a0259de8b98d2 /libquadmath/math/expm1q.c | |
parent | 07078664fd6fdcb046cee4adf01ee697e56fcbd3 (diff) | |
download | gcc-1ec601bf9fb0fbc39b3a6cb90450500f857adae8.zip gcc-1ec601bf9fb0fbc39b3a6cb90450500f857adae8.tar.gz gcc-1ec601bf9fb0fbc39b3a6cb90450500f857adae8.tar.bz2 |
re PR fortran/32049 (Support on x86_64 also kind=16)
/
2010-11-13 Francois-Xavier Coudert <fxcoudert@gcc.gnu.org>
Tobias Burnus <burnus@net-b.de>
PR fortran/32049
* Makefile.def: Add libquadmath; build it with language=fortran.
* configure.ac: Add libquadmath.
* Makefile.tpl: Handle multiple libs in check-[+language+].
* Makefile.in: Regenerate.
* configure: Regenerate.
libquadmath/
2010-11-13 Francois-Xavier Coudert <fxcoudert@gcc.gnu.org>
Tobias Burnus <burnus@net-b.de>
PR fortran/32049
Initial implementation and checkin.
gcc/fortran/
2010-11-13 Francois-Xavier Coudert <fxcoudert@gcc.gnu.org>
Tobias Burnus <burnus@net-b.de>
PR fortran/32049
* gfortranspec.c (find_spec_file): New function.
(lang_specific_driver): Try to find .spec file and use it.
* trans-io.c (iocall): Define
* IOCALL_X_REAL128/COMPLEX128(,write).
(gfc_build_io_library_fndecls): Build decl for __float128 I/O.
(transfer_expr): Call __float128 I/O functions.
* trans-types.c (gfc_init_kinds): Allow kind-16 belonging
to __float128.
gcc/testsuite/
2010-11-13 Francois-Xavier Coudert <fxcoudert@gcc.gnu.org>
Tobias Burnus <burnus@net-b.de>
PR fortran/32049
* gfortran.dg/quad_1.f90: New.
* lib/gcc-defs.exp (gcc-set-multilib-library-path): Use also
compiler arguments.
* lib/gfortran.exp (gfortran_link_flags): Add libquadmath to
library search path; call gcc-set-multilib-library-path with
arguments such that libgfortran.spec is found.
(gfortran_init): Add path for libgfortran.spec to
GFORTRAN_UNDER_TEST.
libgomp/
2010-11-13 Francois-Xavier Coudert <fxcoudert@gcc.gnu.org>
Tobias Burnus <burnus@net-b.de>
PR fortran/32049
* configure.ac:
* configure: Regenerate.
libgfortran/
2010-11-13 Francois-Xavier Coudert <fxcoudert@gcc.gnu.org>
Tobias Burnus <burnus@net-b.de>
PR fortran/32049
* Makefile.am: Add missing pow_r16_i4.c, add transfer128.c,
link libquadmath, if used.
* acinclude.m4 (LIBGFOR_CHECK_FLOAT128): Add.
* configure.ac: Use it, touch spec file.
* gfortran.map: Add pow_r16_i4 and
transfer_(real,complex)128(,write) functions.
* intrinsics/cshift0.c (cshift0): Handle __float128 type.
* intrinsics/erfc_scaled_inc.c: Ditto.
* intrinsics/pack_generic.c (pack): Ditto
* intrinsics/spread_generic.c (spread): Ditto.
* intrinsics/unpack_generic.c (unpack1): Ditto.
* io/read.c (convert_real): Ditto.
* io/transfer.c: Update comments.
* io/transfer128.c: New file.
* io/write_float.def (write_float): Handle __float128 type.
* libgfortran.h: #include quadmath_weak.h, define __builtin_infq
and nanq.
* m4/mtype.m4: Handle __float128 type.
* runtime/in_pack_generic.c (internal_pack): Ditto.
* runtime/in_unpack_generic.c (internal_unpack): Ditto.
* kinds-override.h: New file.
* libgfortran.spec.in: Ditto.
* generated/pow_r16_i4.c: Generated.
* Makefile.in: Regenerate.
* configure: Regenerate.
* config.h: Regenerate.
* bessel_r10.c: Regenerate.
* bessel_r16.c: Regenerate.
* bessel_r4.c: Regenerate.
* bessel_r8.c: Regenerate.
* exponent_r16.c: Regenerate.
* fraction_r16.c: Regenerate.
* nearest_r16.c: Regenerate.
* norm2_r10.c: Regenerate.
* norm2_r16.c: Regenerate.
* norm2_r4.c: Regenerate.
* norm2_r8.c: Regenerate.
* rrspacing_r16.c: Regenerate.
* set_exponent_r16.c: Regenerate.
* spacing_r16.c: Regenerate.
Co-Authored-By: Tobias Burnus <burnus@net-b.de>
From-SVN: r166825
Diffstat (limited to 'libquadmath/math/expm1q.c')
-rw-r--r-- | libquadmath/math/expm1q.c | 158 |
1 files changed, 158 insertions, 0 deletions
diff --git a/libquadmath/math/expm1q.c b/libquadmath/math/expm1q.c new file mode 100644 index 0000000..510c98f --- /dev/null +++ b/libquadmath/math/expm1q.c @@ -0,0 +1,158 @@ +/* expm1l.c + * + * Exponential function, minus 1 + * 128-bit __float128 precision + * + * + * + * SYNOPSIS: + * + * __float128 x, y, expm1l(); + * + * y = expm1l( x ); + * + * + * + * DESCRIPTION: + * + * Returns e (2.71828...) raised to the x power, minus one. + * + * Range reduction is accomplished by separating the argument + * into an integer k and fraction f such that + * + * x k f + * e = 2 e. + * + * An expansion x + .5 x^2 + x^3 R(x) approximates exp(f) - 1 + * in the basic range [-0.5 ln 2, 0.5 ln 2]. + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE -79,+MAXLOG 100,000 1.7e-34 4.5e-35 + * + */ + +/* Copyright 2001 by Stephen L. Moshier + + This library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + This library 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 + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with this library; if not, write to the Free Software + Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ + + + +#include "quadmath-imp.h" + +/* exp(x) - 1 = x + 0.5 x^2 + x^3 P(x)/Q(x) + -.5 ln 2 < x < .5 ln 2 + Theoretical peak relative error = 8.1e-36 */ + +static const __float128 + P0 = 2.943520915569954073888921213330863757240E8Q, + P1 = -5.722847283900608941516165725053359168840E7Q, + P2 = 8.944630806357575461578107295909719817253E6Q, + P3 = -7.212432713558031519943281748462837065308E5Q, + P4 = 4.578962475841642634225390068461943438441E4Q, + P5 = -1.716772506388927649032068540558788106762E3Q, + P6 = 4.401308817383362136048032038528753151144E1Q, + P7 = -4.888737542888633647784737721812546636240E-1Q, + Q0 = 1.766112549341972444333352727998584753865E9Q, + Q1 = -7.848989743695296475743081255027098295771E8Q, + Q2 = 1.615869009634292424463780387327037251069E8Q, + Q3 = -2.019684072836541751428967854947019415698E7Q, + Q4 = 1.682912729190313538934190635536631941751E6Q, + Q5 = -9.615511549171441430850103489315371768998E4Q, + Q6 = 3.697714952261803935521187272204485251835E3Q, + Q7 = -8.802340681794263968892934703309274564037E1Q, + /* Q8 = 1.000000000000000000000000000000000000000E0 */ +/* C1 + C2 = ln 2 */ + + C1 = 6.93145751953125E-1Q, + C2 = 1.428606820309417232121458176568075500134E-6Q, +/* ln (2^16384 * (1 - 2^-113)) */ + maxlog = 1.1356523406294143949491931077970764891253E4Q, +/* ln 2^-114 */ + minarg = -7.9018778583833765273564461846232128760607E1Q; + + +__float128 +expm1q (__float128 x) +{ + __float128 px, qx, xx; + int32_t ix, sign; + ieee854_float128 u; + int k; + + /* Detect infinity and NaN. */ + u.value = x; + ix = u.words32.w0; + sign = ix & 0x80000000; + ix &= 0x7fffffff; + if (ix >= 0x7fff0000) + { + /* Infinity. */ + if (((ix & 0xffff) | u.words32.w1 | u.words32.w2 | u.words32.w3) == 0) + { + if (sign) + return -1.0Q; + else + return x; + } + /* NaN. No invalid exception. */ + return x; + } + + /* expm1(+- 0) = +- 0. */ + if ((ix == 0) && (u.words32.w1 | u.words32.w2 | u.words32.w3) == 0) + return x; + + /* Overflow. */ + if (x > maxlog) + return (HUGE_VALQ * HUGE_VALQ); + + /* Minimum value. */ + if (x < minarg) + return (4.0/HUGE_VALQ - 1.0Q); + + /* Express x = ln 2 (k + remainder), remainder not exceeding 1/2. */ + xx = C1 + C2; /* ln 2. */ + px = floorq (0.5 + x / xx); + k = px; + /* remainder times ln 2 */ + x -= px * C1; + x -= px * C2; + + /* Approximate exp(remainder ln 2). */ + px = (((((((P7 * x + + P6) * x + + P5) * x + P4) * x + P3) * x + P2) * x + P1) * x + P0) * x; + + qx = (((((((x + + Q7) * x + + Q6) * x + Q5) * x + Q4) * x + Q3) * x + Q2) * x + Q1) * x + Q0; + + xx = x * x; + qx = x + (0.5 * xx + xx * px / qx); + + /* exp(x) = exp(k ln 2) exp(remainder ln 2) = 2^k exp(remainder ln 2). + + We have qx = exp(remainder ln 2) - 1, so + exp(x) - 1 = 2^k (qx + 1) - 1 + = 2^k qx + 2^k - 1. */ + + px = ldexpq (1.0Q, k); + x = px * qx + (px - 1.0); + return x; +} |