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.

1 files changed, 173 insertions, 0 deletions

diff --git a/sysdeps/ieee754/dbl-64/dla.h b/sysdeps/ieee754/dbl-64/dla.h
new file mode 100644
index 0000000000..693d1a1f79
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/dla.h
@@ -0,0 +1,173 @@
+
+/*
+ * 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: dla.h                                                   */
+/*                                                                     */
+/* This file holds C language macros for 'Double Length Floating Point */
+/* Arithmetic'. The macros are based on the paper:                     */
+/* T.J.Dekker, "A floating-point Technique for extending the           */
+/* Available Precision", Number. Math. 18, 224-242 (1971).              */
+/* A Double-Length number is defined by a pair (r,s), of IEEE double    */
+/* precision floating point numbers that satisfy,                      */
+/*                                                                     */
+/*              abs(s) <= abs(r+s)*2**(-53)/(1+2**(-53)).              */
+/*                                                                     */
+/* The computer arithmetic assumed is IEEE double precision in         */
+/* round to nearest mode. All variables in the macros must be of type  */
+/* IEEE double.                                                        */
+/***********************************************************************/
+
+/* CN = 1+2**27 = '41a0000002000000' IEEE double format */
+#define  CN   134217729.0
+
+
+/* Exact addition of two single-length floating point numbers, Dekker. */
+/* The macro produces a double-length number (z,zz) that satisfies     */
+/* z+zz = x+y exactly.                                                 */
+
+#define  EADD(x,y,z,zz)  \
+           z=(x)+(y);  zz=(ABS(x)>ABS(y)) ? (((x)-(z))+(y)) : (((y)-(z))+(x));
+
+
+/* Exact subtraction of two single-length floating point numbers, Dekker. */
+/* The macro produces a double-length number (z,zz) that satisfies        */
+/* z+zz = x-y exactly.                                                    */
+
+#define  ESUB(x,y,z,zz)  \
+           z=(x)-(y);  zz=(ABS(x)>ABS(y)) ? (((x)-(z))-(y)) : ((x)-((y)+(z)));
+
+
+/* Exact multiplication of two single-length floating point numbers,   */
+/* Veltkamp. The macro produces a double-length number (z,zz) that     */
+/* satisfies z+zz = x*y exactly. p,hx,tx,hy,ty are temporary           */
+/* storage variables of type double.                                   */
+
+#define  EMULV(x,y,z,zz,p,hx,tx,hy,ty)          \
+           p=CN*(x);  hx=((x)-p)+p;  tx=(x)-hx; \
+           p=CN*(y);  hy=((y)-p)+p;  ty=(y)-hy; \
+           z=(x)*(y); zz=(((hx*hy-z)+hx*ty)+tx*hy)+tx*ty;
+
+
+/* Exact multiplication of two single-length floating point numbers, Dekker. */
+/* The macro produces a nearly double-length number (z,zz) (see Dekker)      */
+/* that satisfies z+zz = x*y exactly. p,hx,tx,hy,ty,q are temporary          */
+/* storage variables of type double.                                         */
+
+#define  MUL12(x,y,z,zz,p,hx,tx,hy,ty,q)        \
+           p=CN*(x);  hx=((x)-p)+p;  tx=(x)-hx; \
+           p=CN*(y);  hy=((y)-p)+p;  ty=(y)-hy; \
+           p=hx*hy;  q=hx*ty+tx*hy; z=p+q;  zz=((p-z)+q)+tx*ty;
+
+
+/* Double-length addition, Dekker. The macro produces a double-length   */
+/* number (z,zz) which satisfies approximately   z+zz = x+xx + y+yy.    */
+/* An error bound: (abs(x+xx)+abs(y+yy))*4.94e-32. (x,xx), (y,yy)       */
+/* are assumed to be double-length numbers. r,s are temporary           */
+/* storage variables of type double.                                    */
+
+#define  ADD2(x,xx,y,yy,z,zz,r,s)                    \
+           r=(x)+(y);  s=(ABS(x)>ABS(y)) ?           \
+                       (((((x)-r)+(y))+(yy))+(xx)) : \
+                       (((((y)-r)+(x))+(xx))+(yy));  \
+           z=r+s;  zz=(r-z)+s;
+
+
+/* Double-length subtraction, Dekker. The macro produces a double-length  */
+/* number (z,zz) which satisfies approximately   z+zz = x+xx - (y+yy).    */
+/* An error bound: (abs(x+xx)+abs(y+yy))*4.94e-32. (x,xx), (y,yy)         */
+/* are assumed to be double-length numbers. r,s are temporary             */
+/* storage variables of type double.                                      */
+
+#define  SUB2(x,xx,y,yy,z,zz,r,s)                    \
+           r=(x)-(y);  s=(ABS(x)>ABS(y)) ?           \
+                       (((((x)-r)-(y))-(yy))+(xx)) : \
+                       ((((x)-((y)+r))+(xx))-(yy));  \
+           z=r+s;  zz=(r-z)+s;
+
+
+/* Double-length multiplication, Dekker. The macro produces a double-length  */
+/* number (z,zz) which satisfies approximately   z+zz = (x+xx)*(y+yy).       */
+/* An error bound: abs((x+xx)*(y+yy))*1.24e-31. (x,xx), (y,yy)               */
+/* are assumed to be double-length numbers. p,hx,tx,hy,ty,q,c,cc are         */
+/* temporary storage variables of type double.                               */
+
+#define  MUL2(x,xx,y,yy,z,zz,p,hx,tx,hy,ty,q,c,cc)  \
+           MUL12(x,y,c,cc,p,hx,tx,hy,ty,q)          \
+           cc=((x)*(yy)+(xx)*(y))+cc;   z=c+cc;   zz=(c-z)+cc;
+
+
+/* Double-length division, Dekker. The macro produces a double-length        */
+/* number (z,zz) which satisfies approximately   z+zz = (x+xx)/(y+yy).       */
+/* An error bound: abs((x+xx)/(y+yy))*1.50e-31. (x,xx), (y,yy)               */
+/* are assumed to be double-length numbers. p,hx,tx,hy,ty,q,c,cc,u,uu        */
+/* are temporary storage variables of type double.                           */
+
+#define  DIV2(x,xx,y,yy,z,zz,p,hx,tx,hy,ty,q,c,cc,u,uu)  \
+           c=(x)/(y);   MUL12(c,y,u,uu,p,hx,tx,hy,ty,q)  \
+           cc=(((((x)-u)-uu)+(xx))-c*(yy))/(y);   z=c+cc;   zz=(c-z)+cc;
+
+
+/* Double-length addition, slower but more accurate than ADD2.               */
+/* The macro produces a double-length                                        */
+/* number (z,zz) which satisfies approximately   z+zz = (x+xx)+(y+yy).       */
+/* An error bound: abs(x+xx + y+yy)*1.50e-31. (x,xx), (y,yy)                 */
+/* are assumed to be double-length numbers. r,rr,s,ss,u,uu,w                 */
+/* are temporary storage variables of type double.                           */
+
+#define  ADD2A(x,xx,y,yy,z,zz,r,rr,s,ss,u,uu,w)                        \
+           r=(x)+(y);                                                  \
+           if (ABS(x)>ABS(y)) { rr=((x)-r)+(y);  s=(rr+(yy))+(xx); }   \
+           else               { rr=((y)-r)+(x);  s=(rr+(xx))+(yy); }   \
+           if (rr!=0.0) {                                              \
+             z=r+s;  zz=(r-z)+s; }                                     \
+           else {                                                      \
+             ss=(ABS(xx)>ABS(yy)) ? (((xx)-s)+(yy)) : (((yy)-s)+(xx)); \
+             u=r+s;                                                    \
+             uu=(ABS(r)>ABS(s))   ? ((r-u)+s)   : ((s-u)+r)  ;         \
+             w=uu+ss;  z=u+w;                                          \
+             zz=(ABS(u)>ABS(w))   ? ((u-z)+w)   : ((w-z)+u)  ; }
+
+
+/* Double-length subtraction, slower but more accurate than SUB2.            */
+/* The macro produces a double-length                                        */
+/* number (z,zz) which satisfies approximately   z+zz = (x+xx)-(y+yy).       */
+/* An error bound: abs(x+xx - (y+yy))*1.50e-31. (x,xx), (y,yy)               */
+/* are assumed to be double-length numbers. r,rr,s,ss,u,uu,w                 */
+/* are temporary storage variables of type double.                           */
+
+#define  SUB2A(x,xx,y,yy,z,zz,r,rr,s,ss,u,uu,w)                        \
+           r=(x)-(y);                                                  \
+           if (ABS(x)>ABS(y)) { rr=((x)-r)-(y);  s=(rr-(yy))+(xx); }   \
+           else               { rr=(x)-((y)+r);  s=(rr+(xx))-(yy); }   \
+           if (rr!=0.0) {                                              \
+             z=r+s;  zz=(r-z)+s; }                                     \
+           else {                                                      \
+             ss=(ABS(xx)>ABS(yy)) ? (((xx)-s)-(yy)) : ((xx)-((yy)+s)); \
+             u=r+s;                                                    \
+             uu=(ABS(r)>ABS(s))   ? ((r-u)+s)   : ((s-u)+r)  ;         \
+             w=uu+ss;  z=u+w;                                          \
+             zz=(ABS(u)>ABS(w))   ? ((u-z)+w)   : ((w-z)+u)  ; }
+
+
+
+
+
+
+