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authorFrancois-Xavier Coudert <fxcoudert@gcc.gnu.org>2010-11-16 21:23:19 +0000
committerTobias Burnus <burnus@gcc.gnu.org>2010-11-16 22:23:19 +0100
commit1ec601bf9fb0fbc39b3a6cb90450500f857adae8 (patch)
treee26ad385cfada5f1f2c55f92057a0259de8b98d2 /libquadmath/math/sinq_kernel.c
parent07078664fd6fdcb046cee4adf01ee697e56fcbd3 (diff)
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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/sinq_kernel.c')
-rw-r--r--libquadmath/math/sinq_kernel.c131
1 files changed, 131 insertions, 0 deletions
diff --git a/libquadmath/math/sinq_kernel.c b/libquadmath/math/sinq_kernel.c
new file mode 100644
index 0000000..fdfe4e8
--- /dev/null
+++ b/libquadmath/math/sinq_kernel.c
@@ -0,0 +1,131 @@
+/* Quad-precision floating point sine on <-pi/4,pi/4>.
+ Copyright (C) 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Jakub Jelinek <jj@ultra.linux.cz>
+
+ The GNU C 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.
+
+ The GNU C 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 the GNU C Library; if not, write to the Free
+ Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
+ 02111-1307 USA. */
+
+#include "quadmath-imp.h"
+
+static const __float128 c[] = {
+#define ONE c[0]
+ 1.00000000000000000000000000000000000E+00Q, /* 3fff0000000000000000000000000000 */
+
+/* cos x ~ ONE + x^2 ( SCOS1 + SCOS2 * x^2 + ... + SCOS4 * x^6 + SCOS5 * x^8 )
+ x in <0,1/256> */
+#define SCOS1 c[1]
+#define SCOS2 c[2]
+#define SCOS3 c[3]
+#define SCOS4 c[4]
+#define SCOS5 c[5]
+-5.00000000000000000000000000000000000E-01Q, /* bffe0000000000000000000000000000 */
+ 4.16666666666666666666666666556146073E-02Q, /* 3ffa5555555555555555555555395023 */
+-1.38888888888888888888309442601939728E-03Q, /* bff56c16c16c16c16c16a566e42c0375 */
+ 2.48015873015862382987049502531095061E-05Q, /* 3fefa01a01a019ee02dcf7da2d6d5444 */
+-2.75573112601362126593516899592158083E-07Q, /* bfe927e4f5dce637cb0b54908754bde0 */
+
+/* sin x ~ ONE * x + x^3 ( SIN1 + SIN2 * x^2 + ... + SIN7 * x^12 + SIN8 * x^14 )
+ x in <0,0.1484375> */
+#define SIN1 c[6]
+#define SIN2 c[7]
+#define SIN3 c[8]
+#define SIN4 c[9]
+#define SIN5 c[10]
+#define SIN6 c[11]
+#define SIN7 c[12]
+#define SIN8 c[13]
+-1.66666666666666666666666666666666538e-01Q, /* bffc5555555555555555555555555550 */
+ 8.33333333333333333333333333307532934e-03Q, /* 3ff811111111111111111111110e7340 */
+-1.98412698412698412698412534478712057e-04Q, /* bff2a01a01a01a01a01a019e7a626296 */
+ 2.75573192239858906520896496653095890e-06Q, /* 3fec71de3a556c7338fa38527474b8f5 */
+-2.50521083854417116999224301266655662e-08Q, /* bfe5ae64567f544e16c7de65c2ea551f */
+ 1.60590438367608957516841576404938118e-10Q, /* 3fde6124613a811480538a9a41957115 */
+-7.64716343504264506714019494041582610e-13Q, /* bfd6ae7f3d5aef30c7bc660b060ef365 */
+ 2.81068754939739570236322404393398135e-15Q, /* 3fce9510115aabf87aceb2022a9a9180 */
+
+/* sin x ~ ONE * x + x^3 ( SSIN1 + SSIN2 * x^2 + ... + SSIN4 * x^6 + SSIN5 * x^8 )
+ x in <0,1/256> */
+#define SSIN1 c[14]
+#define SSIN2 c[15]
+#define SSIN3 c[16]
+#define SSIN4 c[17]
+#define SSIN5 c[18]
+-1.66666666666666666666666666666666659E-01Q, /* bffc5555555555555555555555555555 */
+ 8.33333333333333333333333333146298442E-03Q, /* 3ff81111111111111111111110fe195d */
+-1.98412698412698412697726277416810661E-04Q, /* bff2a01a01a01a01a019e7121e080d88 */
+ 2.75573192239848624174178393552189149E-06Q, /* 3fec71de3a556c640c6aaa51aa02ab41 */
+-2.50521016467996193495359189395805639E-08Q, /* bfe5ae644ee90c47dc71839de75b2787 */
+};
+
+#define SINCOSQ_COS_HI 0
+#define SINCOSQ_COS_LO 1
+#define SINCOSQ_SIN_HI 2
+#define SINCOSQ_SIN_LO 3
+extern const __float128 __sincosq_table[];
+
+__float128
+__kernel_sinq (__float128 x, __float128 y, int iy)
+{
+ __float128 h, l, z, sin_l, cos_l_m1;
+ int64_t ix;
+ uint32_t tix, hix, index;
+ GET_FLT128_MSW64 (ix, x);
+ tix = ((uint64_t)ix) >> 32;
+ tix &= ~0x80000000; /* tix = |x|'s high 32 bits */
+ if (tix < 0x3ffc3000) /* |x| < 0.1484375 */
+ {
+ /* Argument is small enough to approximate it by a Chebyshev
+ polynomial of degree 17. */
+ if (tix < 0x3fc60000) /* |x| < 2^-57 */
+ if (!((int)x)) return x; /* generate inexact */
+ z = x * x;
+ return x + (x * (z*(SIN1+z*(SIN2+z*(SIN3+z*(SIN4+
+ z*(SIN5+z*(SIN6+z*(SIN7+z*SIN8)))))))));
+ }
+ else
+ {
+ /* So that we don't have to use too large polynomial, we find
+ l and h such that x = l + h, where fabsl(l) <= 1.0/256 with 83
+ possible values for h. We look up cosl(h) and sinl(h) in
+ pre-computed tables, compute cosl(l) and sinl(l) using a
+ Chebyshev polynomial of degree 10(11) and compute
+ sinl(h+l) = sinl(h)cosl(l) + cosl(h)sinl(l). */
+ index = 0x3ffe - (tix >> 16);
+ hix = (tix + (0x200 << index)) & (0xfffffc00 << index);
+ x = fabsq (x);
+ switch (index)
+ {
+ case 0: index = ((45 << 10) + hix - 0x3ffe0000) >> 8; break;
+ case 1: index = ((13 << 11) + hix - 0x3ffd0000) >> 9; break;
+ default:
+ case 2: index = (hix - 0x3ffc3000) >> 10; break;
+ }
+
+ SET_FLT128_WORDS64(h, ((uint64_t)hix) << 32, 0);
+ if (iy)
+ l = y - (h - x);
+ else
+ l = x - h;
+ z = l * l;
+ sin_l = l*(ONE+z*(SSIN1+z*(SSIN2+z*(SSIN3+z*(SSIN4+z*SSIN5)))));
+ cos_l_m1 = z*(SCOS1+z*(SCOS2+z*(SCOS3+z*(SCOS4+z*SCOS5))));
+ z = __sincosq_table [index + SINCOSQ_SIN_HI]
+ + (__sincosq_table [index + SINCOSQ_SIN_LO]
+ + (__sincosq_table [index + SINCOSQ_SIN_HI] * cos_l_m1)
+ + (__sincosq_table [index + SINCOSQ_COS_HI] * sin_l));
+ return (ix < 0) ? -z : z;
+ }
+}