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authorUlrich Drepper <drepper@redhat.com>2001-03-12 00:04:52 +0000
committerUlrich Drepper <drepper@redhat.com>2001-03-12 00:04:52 +0000
commite4d8276142b9c07b23043ef44b0fe8fa7bcc3121 (patch)
treef153a80b6ce0fdd3261ff18a16fd80bd965231c3 /sysdeps/ieee754/dbl-64/utan.h
parentd3c8723f6415af59a6ec14fcb918ad0e4d1fb588 (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/utan.h')
-rw-r--r--sysdeps/ieee754/dbl-64/utan.h251
1 files changed, 251 insertions, 0 deletions
diff --git a/sysdeps/ieee754/dbl-64/utan.h b/sysdeps/ieee754/dbl-64/utan.h
new file mode 100644
index 0000000000..f1045c0c66
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/utan.h
@@ -0,0 +1,251 @@
+
+/*
+ * 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:utan.h                                             */
+/*                                                                */
+/* common data and variables prototype and definition             */
+/******************************************************************/
+
+#ifndef UTAN_H
+#define UTAN_H
+
+#ifdef BIG_ENDI
+  static const number
+  /* polynomial I */
+/**/ d3             = {0x3FD55555, 0x55555555, }, /*  0.333... */
+/**/ d5             = {0x3FC11111, 0x111107C6, }, /*  0.133... */
+/**/ d7             = {0x3FABA1BA, 0x1CDB8745, }, /*    .      */
+/**/ d9             = {0x3F9664ED, 0x49CFC666, }, /*    .      */
+/**/ d11            = {0x3F82385A, 0x3CF2E4EA, }, /*    .      */
+  /* polynomial II */
+/**/ a3             = {0x3fd55555, 0x55555555, }, /*  1/3      */
+/**/ aa3            = {0x3c755555, 0x55555555, }, /*  1/3-a3   */
+/**/ a5             = {0x3fc11111, 0x11111111, }, /*  2/15     */
+/**/ aa5            = {0x3c411111, 0x11111111, }, /*  2/15-a5  */
+/**/ a7             = {0x3faba1ba, 0x1ba1ba1c, }, /*  17/315   */
+/**/ aa7            = {0xbc479179, 0x17917918, }, /*   ()-a7   */
+/**/ a9             = {0x3f9664f4, 0x882c10fa, }, /*  62/2835  */
+/**/ aa9            = {0xbc09a528, 0x8b6c44fd, }, /*   ()-a9   */
+/**/ a11            = {0x3f8226e3, 0x55e6c23d, }, /*    .      */
+/**/ aa11           = {0xbc2c292b, 0x8f1a2c13, }, /*    .      */
+/**/ a13            = {0x3f6d6d3d, 0x0e157de0, }, /*    .      */
+/**/ aa13           = {0xbc0280cf, 0xc968d971, }, /*    .      */
+/**/ a15            = {0x3f57da36, 0x452b75e3, }, /*    .      */
+/**/ aa15           = {0xbbf25789, 0xb285d2ed, }, /*    .      */
+/**/ a17            = {0x3f435582, 0x48036744, }, /*    .      */
+/**/ aa17           = {0x3be488d9, 0x563f1f23, }, /*    .      */
+/**/ a19            = {0x3f2f57d7, 0x734d1664, }, /*    .      */
+/**/ aa19           = {0x3bb0d55a, 0x913ccb50, }, /*    .      */
+/**/ a21            = {0x3f1967e1, 0x8afcafad, }, /*    .      */
+/**/ aa21           = {0xbbbd7614, 0xa42d44e6, }, /*    .      */
+/**/ a23            = {0x3f0497d8, 0xeea25259, }, /*    .      */
+/**/ aa23           = {0x3b99f2d0, 0x2e4d2863, }, /*    .      */
+/**/ a25            = {0x3ef0b132, 0xd39a6050, }, /*    .      */
+/**/ aa25           = {0x3b93b274, 0xc2c19614, }, /*    .      */
+/**/ a27            = {0x3edb0f72, 0xd3ee24e9, }, /*    .      */
+/**/ aa27           = {0x3b61688d, 0xdd595609, }, /*    .      */
+  /* polynomial III */
+/**/ e0             = {0x3FD55555, 0x55554DBD, }, /*    .      */
+/**/ e1             = {0x3FC11112, 0xE0A6B45F, }, /*    .      */
+
+  /* constants    */
+/**/ zero           = {0x00000000, 0x00000000, }, /* 0         */
+/**/ one            = {0x3ff00000, 0x00000000, }, /* 1         */
+/**/ mone           = {0xbff00000, 0x00000000, }, /*-1         */
+/**/ mfftnhf        = {0xc02f0000, 0x00000000, }, /*-15.5      */
+/**/ two8           = {0x40700000, 0x00000000, }, /* 256       */
+
+/**/ g1             = {0x3e4b096c, 0x00000000, }, /* 1.259e-8  */
+/**/ g2             = {0x3faf212d, 0x00000000, }, /* 0.0608    */
+/**/ g3             = {0x3fe92f1a, 0x00000000, }, /* 0.787     */
+/**/ g4             = {0x40390000, 0x00000000, }, /* 25.0      */
+/**/ g5             = {0x4197d784, 0x00000000, }, /* 1e8       */
+/**/ gy1            = {0x3e7ad7f2, 0x9abcaf48, }, /* 1e-7      */
+/**/ gy2            = {0x3faf212d, 0x00000000, }, /* 0.0608    */
+
+/**/ u1             = {0x3cc8c33a, 0x00000000, }, /* 6.873e-16 */
+/**/ u2             = {0x3983dc4d, 0x00000000, }, /* 1.224e-31 */
+/**/ u3             = {0x3c78e14b, 0x00000000, }, /* 2.158e-17 */
+/**/ ua3            = {0x3bfd8b58, 0x00000000, }, /* 1.001e-19 */
+/**/ ub3            = {0x3cc81898, 0x00000000, }, /* 6.688e-16 */
+/**/ u4             = {0x399856c2, 0x00000000, }, /* 3e-31     */
+/**/ u5             = {0x3c39d80a, 0x00000000, }, /* 1.401e-18 */
+/**/ u6             = {0x3c374c5a, 0x00000000, }, /* 1.263e-18 */
+/**/ u7             = {0x39903beb, 0x00000000, }, /* 2.001e-31 */
+/**/ u8             = {0x399c56ae, 0x00000000, }, /* 3.493e-31 */
+/**/ u9             = {0x3c7d0ac7, 0x00000000, }, /* 2.519e-17 */
+/**/ ua9            = {0x3bfd8b58, 0x00000000, }, /* 1.001e-19 */
+/**/ ub9            = {0x3ccc2375, 0x00000000, }, /* 7.810e-16 */
+/**/ u10            = {0x3c7e40af, 0x00000000, }, /* 2.624e-17 */
+/**/ ua10           = {0x3bfd8b58, 0x00000000, }, /* 1.001e-19 */
+/**/ ub10           = {0x3ccc6405, 0x00000000, }, /* 7.880e-16 */
+/**/ u11            = {0x39e509b6, 0x00000000, }, /* 8.298e-30 */
+/**/ u12            = {0x39e509b6, 0x00000000, }, /* 8.298e-30 */
+/**/ u13            = {0x3c39d80a, 0x00000000, }, /* 1.401e-18 */
+/**/ u14            = {0x3c374c5a, 0x00000000, }, /* 1.263e-18 */
+/**/ u15            = {0x3ab5767a, 0x00000000, }, /* 6.935e-26 */
+/**/ u16            = {0x3ab57744, 0x00000000, }, /* 6.936e-26 */
+/**/ u17            = {0x3c7d0ac7, 0x00000000, }, /* 2.519e-17 */
+/**/ ua17           = {0x3bfdb11f, 0x00000000, }, /* 1.006e-19 */
+/**/ ub17           = {0x3ccc2375, 0x00000000, }, /* 7.810e-16 */
+/**/ u18            = {0x3c7e40af, 0x00000000, }, /* 2.624e-17 */
+/**/ ua18           = {0x3bfdb11f, 0x00000000, }, /* 1.006e-19 */
+/**/ ub18           = {0x3ccc6405, 0x00000000, }, /* 7.880e-16 */
+/**/ u19            = {0x39a13b61, 0x00000000, }, /* 4.248e-31 */
+/**/ u20            = {0x39a13b61, 0x00000000, }, /* 4.248e-31 */
+/**/ u21            = {0x3c3bb9b8, 0x00000000, }, /* 1.503e-18 */
+/**/ u22            = {0x3c392e08, 0x00000000, }, /* 1.365e-18 */
+/**/ u23            = {0x3a0ce706, 0x00000000, }, /* 4.560e-29 */
+/**/ u24            = {0x3a0cff5d, 0x00000000, }, /* 4.575e-29 */
+/**/ u25            = {0x3c7d0ac7, 0x00000000, }, /* 2.519e-17 */
+/**/ ua25           = {0x3bfd8b58, 0x00000000, }, /* 1.001e-19 */
+/**/ ub25           = {0x3ccc2375, 0x00000000, }, /* 7.810e-16 */
+/**/ u26            = {0x3c7e40af, 0x00000000, }, /* 2.624e-17 */
+/**/ ua26           = {0x3bfd8b58, 0x00000000, }, /* 1.001e-19 */
+/**/ ub26           = {0x3ccc6405, 0x00000000, }, /* 7.880e-16 */
+/**/ u27            = {0x3ad421cb, 0x00000000, }, /* 2.602e-25 */
+/**/ u28            = {0x3ad421cb, 0x00000000, }, /* 2.602e-25 */
+
+/**/            mp1 = {0x3FF921FB, 0x58000000, },
+/**/            mp2 = {0xBE4DDE97, 0x3C000000, },
+/**/            mp3 = {0xBC8CB3B3, 0x99D747F2, },
+/**/            pp3 = {0xBC8CB3B3, 0x98000000, },
+/**/            pp4 = {0xbacd747f, 0x23e32ed7, },
+/**/          hpinv = {0x3FE45F30, 0x6DC9C883, },
+/**/          toint = {0x43380000, 0x00000000, };
+
+#else
+#ifdef LITTLE_ENDI
+
+  static const number
+  /* polynomial I */
+/**/ d3             = {0x55555555, 0x3FD55555, }, /*  0.333... */
+/**/ d5             = {0x111107C6, 0x3FC11111, }, /*  0.133... */
+/**/ d7             = {0x1CDB8745, 0x3FABA1BA, }, /*    .      */
+/**/ d9             = {0x49CFC666, 0x3F9664ED, }, /*    .      */
+/**/ d11            = {0x3CF2E4EA, 0x3F82385A, }, /*    .      */
+  /* polynomial II */
+/**/ a3             = {0x55555555, 0x3fd55555, }, /*  1/3      */
+/**/ aa3            = {0x55555555, 0x3c755555, }, /*  1/3-a3   */
+/**/ a5             = {0x11111111, 0x3fc11111, }, /*  2/15     */
+/**/ aa5            = {0x11111111, 0x3c411111, }, /*  2/15-a5  */
+/**/ a7             = {0x1ba1ba1c, 0x3faba1ba, }, /*  17/315   */
+/**/ aa7            = {0x17917918, 0xbc479179, }, /*   ()-a7   */
+/**/ a9             = {0x882c10fa, 0x3f9664f4, }, /*  62/2835  */
+/**/ aa9            = {0x8b6c44fd, 0xbc09a528, }, /*   ()-a9   */
+/**/ a11            = {0x55e6c23d, 0x3f8226e3, }, /*    .      */
+/**/ aa11           = {0x8f1a2c13, 0xbc2c292b, }, /*    .      */
+/**/ a13            = {0x0e157de0, 0x3f6d6d3d, }, /*    .      */
+/**/ aa13           = {0xc968d971, 0xbc0280cf, }, /*    .      */
+/**/ a15            = {0x452b75e3, 0x3f57da36, }, /*    .      */
+/**/ aa15           = {0xb285d2ed, 0xbbf25789, }, /*    .      */
+/**/ a17            = {0x48036744, 0x3f435582, }, /*    .      */
+/**/ aa17           = {0x563f1f23, 0x3be488d9, }, /*    .      */
+/**/ a19            = {0x734d1664, 0x3f2f57d7, }, /*    .      */
+/**/ aa19           = {0x913ccb50, 0x3bb0d55a, }, /*    .      */
+/**/ a21            = {0x8afcafad, 0x3f1967e1, }, /*    .      */
+/**/ aa21           = {0xa42d44e6, 0xbbbd7614, }, /*    .      */
+/**/ a23            = {0xeea25259, 0x3f0497d8, }, /*    .      */
+/**/ aa23           = {0x2e4d2863, 0x3b99f2d0, }, /*    .      */
+/**/ a25            = {0xd39a6050, 0x3ef0b132, }, /*    .      */
+/**/ aa25           = {0xc2c19614, 0x3b93b274, }, /*    .      */
+/**/ a27            = {0xd3ee24e9, 0x3edb0f72, }, /*    .      */
+/**/ aa27           = {0xdd595609, 0x3b61688d, }, /*    .      */
+  /* polynomial III */
+/**/ e0             = {0x55554DBD, 0x3FD55555, }, /*    .      */
+/**/ e1             = {0xE0A6B45F, 0x3FC11112, }, /*    .      */
+
+  /* constants    */
+/**/ zero           = {0x00000000, 0x00000000, }, /* 0         */
+/**/ one            = {0x00000000, 0x3ff00000, }, /* 1         */
+/**/ mone           = {0x00000000, 0xbff00000, }, /*-1         */
+/**/ mfftnhf        = {0x00000000, 0xc02f0000, }, /*-15.5      */
+/**/ two8           = {0x00000000, 0x40700000, }, /* 256       */
+
+/**/ g1             = {0x00000000, 0x3e4b096c, }, /* 1.259e-8  */
+/**/ g2             = {0x00000000, 0x3faf212d, }, /* 0.0608    */
+/**/ g3             = {0x00000000, 0x3fe92f1a, }, /* 0.787     */
+/**/ g4             = {0x00000000, 0x40390000, }, /* 25.0      */
+/**/ g5             = {0x00000000, 0x4197d784, }, /* 1e8       */
+/**/ gy1            = {0x9abcaf48, 0x3e7ad7f2, }, /* 1e-7      */
+/**/ gy2            = {0x00000000, 0x3faf212d, }, /* 0.0608    */
+
+/**/ u1             = {0x00000000, 0x3cc8c33a, }, /* 6.873e-16 */
+/**/ u2             = {0x00000000, 0x3983dc4d, }, /* 1.224e-31 */
+/**/ u3             = {0x00000000, 0x3c78e14b, }, /* 2.158e-17 */
+/**/ ua3            = {0x00000000, 0x3bfd8b58, }, /* 1.001e-19 */
+/**/ ub3            = {0x00000000, 0x3cc81898, }, /* 6.688e-16 */
+/**/ u4             = {0x00000000, 0x399856c2, }, /* 3e-31     */
+/**/ u5             = {0x00000000, 0x3c39d80a, }, /* 1.401e-18 */
+/**/ u6             = {0x00000000, 0x3c374c5a, }, /* 1.263e-18 */
+/**/ u7             = {0x00000000, 0x39903beb, }, /* 2.001e-31 */
+/**/ u8             = {0x00000000, 0x399c56ae, }, /* 3.493e-31 */
+/**/ u9             = {0x00000000, 0x3c7d0ac7, }, /* 2.519e-17 */
+/**/ ua9            = {0x00000000, 0x3bfd8b58, }, /* 1.001e-19 */
+/**/ ub9            = {0x00000000, 0x3ccc2375, }, /* 7.810e-16 */
+/**/ u10            = {0x00000000, 0x3c7e40af, }, /* 2.624e-17 */
+/**/ ua10           = {0x00000000, 0x3bfd8b58, }, /* 1.001e-19 */
+/**/ ub10           = {0x00000000, 0x3ccc6405, }, /* 7.880e-16 */
+/**/ u11            = {0x00000000, 0x39e509b6, }, /* 8.298e-30 */
+/**/ u12            = {0x00000000, 0x39e509b6, }, /* 8.298e-30 */
+/**/ u13            = {0x00000000, 0x3c39d80a, }, /* 1.401e-18 */
+/**/ u14            = {0x00000000, 0x3c374c5a, }, /* 1.263e-18 */
+/**/ u15            = {0x00000000, 0x3ab5767a, }, /* 6.935e-26 */
+/**/ u16            = {0x00000000, 0x3ab57744, }, /* 6.936e-26 */
+/**/ u17            = {0x00000000, 0x3c7d0ac7, }, /* 2.519e-17 */
+/**/ ua17           = {0x00000000, 0x3bfdb11f, }, /* 1.006e-19 */
+/**/ ub17           = {0x00000000, 0x3ccc2375, }, /* 7.810e-16 */
+/**/ u18            = {0x00000000, 0x3c7e40af, }, /* 2.624e-17 */
+/**/ ua18           = {0x00000000, 0x3bfdb11f, }, /* 1.006e-19 */
+/**/ ub18           = {0x00000000, 0x3ccc6405, }, /* 7.880e-16 */
+/**/ u19            = {0x00000000, 0x39a13b61, }, /* 4.248e-31 */
+/**/ u20            = {0x00000000, 0x39a13b61, }, /* 4.248e-31 */
+/**/ u21            = {0x00000000, 0x3c3bb9b8, }, /* 1.503e-18 */
+/**/ u22            = {0x00000000, 0x3c392e08, }, /* 1.365e-18 */
+/**/ u23            = {0x00000000, 0x3a0ce706, }, /* 4.560e-29 */
+/**/ u24            = {0x00000000, 0x3a0cff5d, }, /* 4.575e-29 */
+/**/ u25            = {0x00000000, 0x3c7d0ac7, }, /* 2.519e-17 */
+/**/ ua25           = {0x00000000, 0x3bfd8b58, }, /* 1.001e-19 */
+/**/ ub25           = {0x00000000, 0x3ccc2375, }, /* 7.810e-16 */
+/**/ u26            = {0x00000000, 0x3c7e40af, }, /* 2.624e-17 */
+/**/ ua26           = {0x00000000, 0x3bfd8b58, }, /* 1.001e-19 */
+/**/ ub26           = {0x00000000, 0x3ccc6405, }, /* 7.880e-16 */
+/**/ u27            = {0x00000000, 0x3ad421cb, }, /* 2.602e-25 */
+/**/ u28            = {0x00000000, 0x3ad421cb, }, /* 2.602e-25 */
+
+/**/            mp1 = {0x58000000, 0x3FF921FB, },
+/**/            mp2 = {0x3C000000, 0xBE4DDE97, },
+/**/            mp3 = {0x99D747F2, 0xBC8CB3B3, },
+/**/            pp3 = {0x98000000, 0xBC8CB3B3, },
+/**/            pp4 = {0x23e32ed7, 0xbacd747f, },
+/**/          hpinv = {0x6DC9C883, 0x3FE45F30, },
+/**/          toint = {0x00000000, 0x43380000, };
+
+#endif
+#endif
+
+
+#define  ZERO      zero.d
+#define  ONE       one.d
+#define  MONE      mone.d
+#define  TWO8      two8.d
+
+#endif