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author | Ulrich Drepper <drepper@redhat.com> | 2001-03-12 00:04:52 +0000 |
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committer | Ulrich Drepper <drepper@redhat.com> | 2001-03-12 00:04:52 +0000 |
commit | e4d8276142b9c07b23043ef44b0fe8fa7bcc3121 (patch) | |
tree | f153a80b6ce0fdd3261ff18a16fd80bd965231c3 /sysdeps/ieee754/dbl-64/atnat2.h | |
parent | d3c8723f6415af59a6ec14fcb918ad0e4d1fb588 (diff) | |
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Update.
2001-03-11 Ulrich Drepper <drepper@redhat.com>
Last-bit accurate math library implementation by IBM Haifa.
Contributed by Abraham Ziv <ziv@il.ibm.com>, Moshe Olshansky
<olshansk@il.ibm.com>, Ealan Henis <ealan@il.ibm.com>, and
Anna Reitman <reitman@il.ibm.com>.
* math/Makefile (dbl-only-routines): New variable.
(libm-routines): Add $(dbl-only-routines).
* sysdeps/ieee754/dbl-64/e_acos.c: Empty, definition is in e_asin.c.
* sysdeps/ieee754/dbl-64/e_asin.c: Replaced with accurate asin
implementation.
* sysdeps/ieee754/dbl-64/e_atan2.c: Replaced with accurate atan2
implementation.
* sysdeps/ieee754/dbl-64/e_exp.c: Replaced with accurate exp
implementation.
* sysdeps/ieee754/dbl-64/e_lgamma_r.c: Don't use __kernel_sin and
__kernel_cos.
* sysdeps/ieee754/dbl-64/e_log.c: Replaced with accurate log
implementation.
* sysdeps/ieee754/dbl-64/e_remainder.c: Replaced with accurate
remainder implementation.
* sysdeps/ieee754/dbl-64/e_pow.c: Replaced with accurate pow
implementation.
* sysdeps/ieee754/dbl-64/e_sqrt.c: Replaced with accurate sqrt
implementation.
* sysdeps/ieee754/dbl-64/k_cos.c: Empty, definition is in s_sin.c.
* sysdeps/ieee754/dbl-64/k_sin.c: Empty, definition is in s_sin.c.
* sysdeps/ieee754/dbl-64/s_atan.c: Replaced with accurate atan
implementation.
* sysdeps/ieee754/dbl-64/s_cos.c: Empty, definition is in s_sin.c.
* sysdeps/ieee754/dbl-64/s_sin.c: Replaced with accurate sin/cos
implementation.
* sysdeps/ieee754/dbl-64/s_sincos.c: Rewritten to not use __kernel_sin
and __kernel_cos.
* sysdeps/ieee754/dbl-64/s_tan.c: Replaced with accurate tan
implementation.
* sysdeps/ieee754/dbl-64/Dist: Add new non-code files.
* sysdeps/ieee754/dbl-64/MathLib.h: New file.
* sysdeps/ieee754/dbl-64/asincos.tbl: New file.
* sysdeps/ieee754/dbl-64/atnat.h: New file.
* sysdeps/ieee754/dbl-64/atnat2.h: New file.
* sysdeps/ieee754/dbl-64/branred.c: New file.
* sysdeps/ieee754/dbl-64/branred.h: New file.
* sysdeps/ieee754/dbl-64/dla.h: New file.
* sysdeps/ieee754/dbl-64/doasin.c: New file.
* sysdeps/ieee754/dbl-64/doasin.h: New file.
* sysdeps/ieee754/dbl-64/dosincos.c: New file.
* sysdeps/ieee754/dbl-64/dosincos.h: New file.
* sysdeps/ieee754/dbl-64/endian.h: New file.
* sysdeps/ieee754/dbl-64/halfulp.c: New file.
* sysdeps/ieee754/dbl-64/mpa.c: New file.
* sysdeps/ieee754/dbl-64/mpa.h: New file.
* sysdeps/ieee754/dbl-64/mpa2.h: New file.
* sysdeps/ieee754/dbl-64/mpatan.c: New file.
* sysdeps/ieee754/dbl-64/mpatan.h: New file.
* sysdeps/ieee754/dbl-64/mpatan2.c: New file.
* sysdeps/ieee754/dbl-64/mpexp.c: New file.
* sysdeps/ieee754/dbl-64/mpexp.h: New file.
* sysdeps/ieee754/dbl-64/mplog.c: New file.
* sysdeps/ieee754/dbl-64/mplog.h: New file.
* sysdeps/ieee754/dbl-64/mpsqrt.c: New file.
* sysdeps/ieee754/dbl-64/mpsqrt.h: New file.
* sysdeps/ieee754/dbl-64/mptan.c: New file.
* sysdeps/ieee754/dbl-64/mydefs.h: New file.
* sysdeps/ieee754/dbl-64/powtwo.tbl: New file.
* sysdeps/ieee754/dbl-64/root.tbl: New file.
* sysdeps/ieee754/dbl-64/sincos.tbl: New file.
* sysdeps/ieee754/dbl-64/sincos32.c: New file.
* sysdeps/ieee754/dbl-64/sincos32.h: New file.
* sysdeps/ieee754/dbl-64/slowexp.c: New file.
* sysdeps/ieee754/dbl-64/slowpow.c: New file.
* sysdeps/ieee754/dbl-64/uasncs.h: New file.
* sysdeps/ieee754/dbl-64/uatan.tbl: New file.
* sysdeps/ieee754/dbl-64/uexp.h: New file.
* sysdeps/ieee754/dbl-64/uexp.tbl: New file.
* sysdeps/ieee754/dbl-64/ulog.h: New file.
* sysdeps/ieee754/dbl-64/ulog.tbl: New file.
* sysdeps/ieee754/dbl-64/upow.h: New file.
* sysdeps/ieee754/dbl-64/upow.tbl: New file.
* sysdeps/ieee754/dbl-64/urem.h: New file.
* sysdeps/ieee754/dbl-64/uroot.h: New file.
* sysdeps/ieee754/dbl-64/usncs.h: New file.
* sysdeps/ieee754/dbl-64/utan.h: New file.
* sysdeps/ieee754/dbl-64/utan.tbl: New file.
* sysdeps/i386/fpu/branred.c: New file.
* sysdeps/i386/fpu/doasin.c: New file.
* sysdeps/i386/fpu/dosincos.c: New file.
* sysdeps/i386/fpu/halfulp.c: New file.
* sysdeps/i386/fpu/mpa.c: New file.
* sysdeps/i386/fpu/mpatan.c: New file.
* sysdeps/i386/fpu/mpatan2.c: New file.
* sysdeps/i386/fpu/mpexp.c: New file.
* sysdeps/i386/fpu/mplog.c: New file.
* sysdeps/i386/fpu/mpsqrt.c: New file.
* sysdeps/i386/fpu/mptan.c: New file.
* sysdeps/i386/fpu/sincos32.c: New file.
* sysdeps/i386/fpu/slowexp.c: New file.
* sysdeps/i386/fpu/slowpow.c: New file.
* sysdeps/ia64/fpu/branred.c: New file.
* sysdeps/ia64/fpu/doasin.c: New file.
* sysdeps/ia64/fpu/dosincos.c: New file.
* sysdeps/ia64/fpu/halfulp.c: New file.
* sysdeps/ia64/fpu/mpa.c: New file.
* sysdeps/ia64/fpu/mpatan.c: New file.
* sysdeps/ia64/fpu/mpatan2.c: New file.
* sysdeps/ia64/fpu/mpexp.c: New file.
* sysdeps/ia64/fpu/mplog.c: New file.
* sysdeps/ia64/fpu/mpsqrt.c: New file.
* sysdeps/ia64/fpu/mptan.c: New file.
* sysdeps/ia64/fpu/sincos32.c: New file.
* sysdeps/ia64/fpu/slowexp.c: New file.
* sysdeps/ia64/fpu/slowpow.c: New file.
* sysdeps/m68k/fpu/branred.c: New file.
* sysdeps/m68k/fpu/doasin.c: New file.
* sysdeps/m68k/fpu/dosincos.c: New file.
* sysdeps/m68k/fpu/halfulp.c: New file.
* sysdeps/m68k/fpu/mpa.c: New file.
* sysdeps/m68k/fpu/mpatan.c: New file.
* sysdeps/m68k/fpu/mpatan2.c: New file.
* sysdeps/m68k/fpu/mpexp.c: New file.
* sysdeps/m68k/fpu/mplog.c: New file.
* sysdeps/m68k/fpu/mpsqrt.c: New file.
* sysdeps/m68k/fpu/mptan.c: New file.
* sysdeps/m68k/fpu/sincos32.c: New file.
* sysdeps/m68k/fpu/slowexp.c: New file.
* sysdeps/m68k/fpu/slowpow.c: New file.
* iconvdata/gconv-modules: Add a number of alias, mostly for IBM
codepages.
Diffstat (limited to 'sysdeps/ieee754/dbl-64/atnat2.h')
-rw-r--r-- | sysdeps/ieee754/dbl-64/atnat2.h | 183 |
1 files changed, 183 insertions, 0 deletions
diff --git a/sysdeps/ieee754/dbl-64/atnat2.h b/sysdeps/ieee754/dbl-64/atnat2.h new file mode 100644 index 0000000000..967bbc30b9 --- /dev/null +++ b/sysdeps/ieee754/dbl-64/atnat2.h @@ -0,0 +1,183 @@ + +/* + * IBM Accurate Mathematical Library + * Copyright (c) International Business Machines Corp., 2001 + * + * This program 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 of the License, or + * (at your option) any later version. + * + * This program 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. + * + * You should have received a copy of the GNU Lesser General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. + */ +/************************************************************************/ +/* MODULE_NAME: atnat2.h */ +/* */ +/* */ +/* common data and variables definition for BIG or LITTLE ENDIAN */ +/************************************************************************/ + + + +#ifndef ATNAT2_H +#define ATNAT2_H + + +#define MM 5 +#ifdef BIG_ENDI + + static const number + /* polynomial I */ +/**/ d3 = {0xbfd55555, 0x55555555, }, /* -0.333... */ +/**/ d5 = {0x3fc99999, 0x999997fd, }, /* 0.199... */ +/**/ d7 = {0xbfc24924, 0x923f7603, }, /* -0.142... */ +/**/ d9 = {0x3fbc71c6, 0xe5129a3b, }, /* 0.111... */ +/**/ d11 = {0xbfb74580, 0x22b13c25, }, /* -0.090... */ +/**/ d13 = {0x3fb375f0, 0x8b31cbce, }, /* 0.076... */ + /* polynomial II */ +/**/ f3 = {0xbfd55555, 0x55555555, }, /* -1/3 */ +/**/ ff3 = {0xbc755555, 0x55555555, }, /* -1/3-f3 */ +/**/ f5 = {0x3fc99999, 0x9999999a, }, /* 1/5 */ +/**/ ff5 = {0xbc699999, 0x9999999a, }, /* 1/5-f5 */ +/**/ f7 = {0xbfc24924, 0x92492492, }, /* -1/7 */ +/**/ ff7 = {0xbc624924, 0x92492492, }, /* -1/7-f7 */ +/**/ f9 = {0x3fbc71c7, 0x1c71c71c, }, /* 1/9 */ +/**/ ff9 = {0x3c5c71c7, 0x1c71c71c, }, /* 1/9-f9 */ +/**/ f11 = {0xbfb745d1, 0x745d1746, }, /* -1/11 */ +/**/ f13 = {0x3fb3b13b, 0x13b13b14, }, /* 1/13 */ +/**/ f15 = {0xbfb11111, 0x11111111, }, /* -1/15 */ +/**/ f17 = {0x3fae1e1e, 0x1e1e1e1e, }, /* 1/17 */ +/**/ f19 = {0xbfaaf286, 0xbca1af28, }, /* -1/19 */ + /* constants */ +/**/ zero = {0x00000000, 0x00000000, }, /* 0 */ +/**/ mzero = {0x80000000, 0x00000000, }, /* -0 */ +/**/ one = {0x3ff00000, 0x00000000, }, /* 1 */ +/**/ inv16 = {0x3fb00000, 0x00000000, }, /* 1/16 */ +/**/ opi = {0x400921fb, 0x54442d18, }, /* pi */ +/**/ opi1 = {0x3ca1a626, 0x33145c07, }, /* pi-opi */ +/**/ mopi = {0xc00921fb, 0x54442d18, }, /* -pi */ +/**/ hpi = {0x3ff921fb, 0x54442d18, }, /* pi/2 */ +/**/ hpi1 = {0x3c91a626, 0x33145c07, }, /* pi/2-hpi */ +/**/ mhpi = {0xbff921fb, 0x54442d18, }, /* -pi/2 */ +/**/ qpi = {0x3fe921fb, 0x54442d18, }, /* pi/4 */ +/**/ qpi1 = {0x3c81a626, 0x33145c07, }, /* pi/4-qpi */ +/**/ mqpi = {0xbfe921fb, 0x54442d18, }, /* -pi/4 */ +/**/ tqpi = {0x4002d97c, 0x7f3321d2, }, /* 3pi/4 */ +/**/ tqpi1 = {0x3c9a7939, 0x4c9e8a0a, }, /* 3pi/4-tqpi */ +/**/ mtqpi = {0xc002d97c, 0x7f3321d2, }, /* -3pi/4 */ +/**/ u1 = {0x3c314c2a, 0x00000000, }, /* 9.377e-19 */ +/**/ u2 = {0x3bf955e4, 0x00000000, }, /* 8.584e-20 */ +/**/ u3 = {0x3bf955e4, 0x00000000, }, /* 8.584e-20 */ +/**/ u4 = {0x3bf955e4, 0x00000000, }, /* 8.584e-20 */ +/**/ u5 = {0x3aaef2d1, 0x00000000, }, /* 5e-26 */ +/**/ u6 = {0x3a6eeb36, 0x00000000, }, /* 3.122e-27 */ +/**/ u7 = {0x3a6eeb36, 0x00000000, }, /* 3.122e-27 */ +/**/ u8 = {0x3a6eeb36, 0x00000000, }, /* 3.122e-27 */ +/**/ u91 = {0x3c6dffc0, 0x00000000, }, /* 1.301e-17 */ +/**/ u92 = {0x3c527bd0, 0x00000000, }, /* 4.008e-18 */ +/**/ u93 = {0x3c3cd057, 0x00000000, }, /* 1.562e-18 */ +/**/ u94 = {0x3c329cdf, 0x00000000, }, /* 1.009e-18 */ +/**/ ua1 = {0x3c3a1edf, 0x00000000, }, /* 1.416e-18 */ +/**/ ua2 = {0x3c33f0e1, 0x00000000, }, /* 1.081e-18 */ +/**/ ub = {0x3a98c56d, 0x00000000, }, /* 2.001e-26 */ +/**/ uc = {0x3a9375de, 0x00000000, }, /* 1.572e-26 */ +/**/ ud[MM] ={{0x38c6eddf, 0x00000000, }, /* 3.450e-35 */ +/**/ {0x35c6ef60, 0x00000000, }, /* 1.226e-49 */ +/**/ {0x32c6ed2f, 0x00000000, }, /* 4.354e-64 */ +/**/ {0x23c6eee8, 0x00000000, }, /* 2.465e-136 */ +/**/ {0x11c6ed16, 0x00000000, }},/* 4.955e-223 */ +/**/ ue = {0x38900e9d, 0x00000000, }, /* 3.02e-36 */ +/**/ two8 = {0x40700000, 0x00000000, }, /* 2**8=256 */ +/**/ two52 = {0x43300000, 0x00000000, }, /* 2**52 */ +/**/ two500 = {0x5f300000, 0x00000000, }, /* 2**500 */ +/**/ twom500 = {0x20b00000, 0x00000000, }, /* 2**(-500) */ +/**/ twom1022 = {0x00100000, 0x00000000, }; /* 2**(-1022) */ + +#else +#ifdef LITTLE_ENDI + + static const number + /* polynomial I */ +/**/ d3 = {0x55555555, 0xbfd55555, }, /* -0.333... */ +/**/ d5 = {0x999997fd, 0x3fc99999, }, /* 0.199... */ +/**/ d7 = {0x923f7603, 0xbfc24924, }, /* -0.142... */ +/**/ d9 = {0xe5129a3b, 0x3fbc71c6, }, /* 0.111... */ +/**/ d11 = {0x22b13c25, 0xbfb74580, }, /* -0.090... */ +/**/ d13 = {0x8b31cbce, 0x3fb375f0, }, /* 0.076... */ + /* polynomial II */ +/**/ f3 = {0x55555555, 0xbfd55555, }, /* -1/3 */ +/**/ ff3 = {0x55555555, 0xbc755555, }, /* -1/3-f3 */ +/**/ f5 = {0x9999999a, 0x3fc99999, }, /* 1/5 */ +/**/ ff5 = {0x9999999a, 0xbc699999, }, /* 1/5-f5 */ +/**/ f7 = {0x92492492, 0xbfc24924, }, /* -1/7 */ +/**/ ff7 = {0x92492492, 0xbc624924, }, /* -1/7-f7 */ +/**/ f9 = {0x1c71c71c, 0x3fbc71c7, }, /* 1/9 */ +/**/ ff9 = {0x1c71c71c, 0x3c5c71c7, }, /* 1/9-f9 */ +/**/ f11 = {0x745d1746, 0xbfb745d1, }, /* -1/11 */ +/**/ f13 = {0x13b13b14, 0x3fb3b13b, }, /* 1/13 */ +/**/ f15 = {0x11111111, 0xbfb11111, }, /* -1/15 */ +/**/ f17 = {0x1e1e1e1e, 0x3fae1e1e, }, /* 1/17 */ +/**/ f19 = {0xbca1af28, 0xbfaaf286, }, /* -1/19 */ + /* constants */ +/**/ zero = {0x00000000, 0x00000000, }, /* 0 */ +/**/ mzero = {0x00000000, 0x80000000, }, /* -0 */ +/**/ one = {0x00000000, 0x3ff00000, }, /* 1 */ +/**/ inv16 = {0x00000000, 0x3fb00000, }, /* 1/16 */ +/**/ opi = {0x54442d18, 0x400921fb, }, /* pi */ +/**/ opi1 = {0x33145c07, 0x3ca1a626, }, /* pi-opi */ +/**/ mopi = {0x54442d18, 0xc00921fb, }, /* -pi */ +/**/ hpi = {0x54442d18, 0x3ff921fb, }, /* pi/2 */ +/**/ hpi1 = {0x33145c07, 0x3c91a626, }, /* pi/2-hpi */ +/**/ mhpi = {0x54442d18, 0xbff921fb, }, /* -pi/2 */ +/**/ qpi = {0x54442d18, 0x3fe921fb, }, /* pi/4 */ +/**/ qpi1 = {0x33145c07, 0x3c81a626, }, /* pi/4-qpi */ +/**/ mqpi = {0x54442d18, 0xbfe921fb, }, /* -pi/4 */ +/**/ tqpi = {0x7f3321d2, 0x4002d97c, }, /* 3pi/4 */ +/**/ tqpi1 = {0x4c9e8a0a, 0x3c9a7939, }, /* 3pi/4-tqpi */ +/**/ mtqpi = {0x7f3321d2, 0xc002d97c, }, /* -3pi/4 */ +/**/ u1 = {0x00000000, 0x3c314c2a, }, /* 9.377e-19 */ +/**/ u2 = {0x00000000, 0x3bf955e4, }, /* 8.584e-20 */ +/**/ u3 = {0x00000000, 0x3bf955e4, }, /* 8.584e-20 */ +/**/ u4 = {0x00000000, 0x3bf955e4, }, /* 8.584e-20 */ +/**/ u5 = {0x00000000, 0x3aaef2d1, }, /* 5e-26 */ +/**/ u6 = {0x00000000, 0x3a6eeb36, }, /* 3.122e-27 */ +/**/ u7 = {0x00000000, 0x3a6eeb36, }, /* 3.122e-27 */ +/**/ u8 = {0x00000000, 0x3a6eeb36, }, /* 3.122e-27 */ +/**/ u91 = {0x00000000, 0x3c6dffc0, }, /* 1.301e-17 */ +/**/ u92 = {0x00000000, 0x3c527bd0, }, /* 4.008e-18 */ +/**/ u93 = {0x00000000, 0x3c3cd057, }, /* 1.562e-18 */ +/**/ u94 = {0x00000000, 0x3c329cdf, }, /* 1.009e-18 */ +/**/ ua1 = {0x00000000, 0x3c3a1edf, }, /* 1.416e-18 */ +/**/ ua2 = {0x00000000, 0x3c33f0e1, }, /* 1.081e-18 */ +/**/ ub = {0x00000000, 0x3a98c56d, }, /* 2.001e-26 */ +/**/ uc = {0x00000000, 0x3a9375de, }, /* 1.572e-26 */ +/**/ ud[MM] ={{0x00000000, 0x38c6eddf, }, /* 3.450e-35 */ +/**/ {0x00000000, 0x35c6ef60, }, /* 1.226e-49 */ +/**/ {0x00000000, 0x32c6ed2f, }, /* 4.354e-64 */ +/**/ {0x00000000, 0x23c6eee8, }, /* 2.465e-136 */ +/**/ {0x00000000, 0x11c6ed16, }},/* 4.955e-223 */ +/**/ ue = {0x00000000, 0x38900e9d, }, /* 3.02e-36 */ +/**/ two8 = {0x00000000, 0x40700000, }, /* 2**8=256 */ +/**/ two52 = {0x00000000, 0x43300000, }, /* 2**52 */ +/**/ two500 = {0x00000000, 0x5f300000, }, /* 2**500 */ +/**/ twom500 = {0x00000000, 0x20b00000, }, /* 2**(-500) */ +/**/ twom1022 = {0x00000000, 0x00100000, }; /* 2**(-1022) */ + +#endif +#endif + +#define ZERO zero.d +#define MZERO mzero.d +#define ONE one.d +#define TWO8 two8.d +#define TWO52 two52.d +#define TWOM1022 twom1022.d + +#endif |