diff options
| author | Jeff Johnston <jjohnstn@redhat.com> | 2000-12-07 02:50:11 +0300 |
|---|---|---|
| committer | Jeff Johnston <jjohnstn@redhat.com> | 2000-12-07 02:50:11 +0300 |
| commit | 6bdac416e9e1aecfb94cd3ae383889cc7b7e62e3 (patch) | |
| tree | 0871ae257bee23aa786ad2ac43aeb3470d340f5f /newlib/libc/stdlib | |
| parent | 81e615de9818b0094abea875b60ca955edfcec9c (diff) | |
2000-12-06 Jeff Johnston <jjohnstn@redhat.com>
* libc/stdlib/Makefile.am: Added ldtoa.c to list of sources.
* libc/stdlib/Makefile.in: Regenerated.
* libc/stdio/floatio.h: Added suitable MAXEXP for long double.
* libc/stdio/vfieeefp.h: Added long double bit structures.
* libc/stdio/vfprintf.c[WANT_IO_LONG_DBL]: Added long double support.
[WANT_IO_LONG_DBL](isinfl, isnanl): New static long double routines.
(exponent): Changed expbuf to reasonable maximum instead of MAXEXP.
* libc/stdio/vfscanf.c[WANT_IO_LONG_DBL]: Added long double support.
* libc/stdlib/ldtoa.c: New file containing _ldtoa_r and
_strtold routines used for conversions between character
and long double.
Diffstat (limited to 'newlib/libc/stdlib')
| -rw-r--r-- | newlib/libc/stdlib/Makefile.am | 2 | ||||
| -rw-r--r-- | newlib/libc/stdlib/Makefile.in | 17 | ||||
| -rw-r--r-- | newlib/libc/stdlib/ldtoa.c | 3667 |
3 files changed, 3679 insertions, 7 deletions
diff --git a/newlib/libc/stdlib/Makefile.am b/newlib/libc/stdlib/Makefile.am index f33550fc7..e6d60dbc3 100644 --- a/newlib/libc/stdlib/Makefile.am +++ b/newlib/libc/stdlib/Makefile.am @@ -34,6 +34,7 @@ lib_a_SOURCES = \ getopt.c \ labs.c \ ldiv.c \ + ldtoa.c \ malign.c \ malloc.c \ mblen.c \ @@ -157,6 +158,7 @@ doc: $(CHEWOUT_FILES) CLEANFILES = $(CHEWOUT_FILES) *.ref dtoa.o: dtoa.c mprec.h +ldtoa.o: ldtoa.c mprec.h ecvtbuf.o: ecvtbuf.c mprec.h mbtowc_r.o: mbtowc_r.c mbctype.h $(COMPILE) -c -fshort-enums $(srcdir)/mbtowc_r.c -o $@ diff --git a/newlib/libc/stdlib/Makefile.in b/newlib/libc/stdlib/Makefile.in index 82664b3b6..8274e6c88 100644 --- a/newlib/libc/stdlib/Makefile.in +++ b/newlib/libc/stdlib/Makefile.in @@ -116,6 +116,7 @@ lib_a_SOURCES = \ getopt.c \ labs.c \ ldiv.c \ + ldtoa.c \ malign.c \ malloc.c \ mblen.c \ @@ -212,11 +213,12 @@ malloptr.o lib_a_OBJECTS = __adjust.o __exp10.o __ten_mu.o abort.o abs.o assert.o \ atexit.o atof.o atoff.o atoi.o atol.o bsearch.o calloc.o div.o dtoa.o \ dtoastub.o ecvtbuf.o efgcvt.o environ.o envlock.o eprintf.o exit.o \ -getenv.o getenv_r.o getopt.o labs.o ldiv.o malign.o malloc.o mblen.o \ -mblen_r.o mbstowcs.o mbstowcs_r.o mbtowc.o mbtowc_r.o mlock.o mprec.o \ -msize.o mstats.o mtrim.o putenv.o putenv_r.o qsort.o rand.o rand_r.o \ -realloc.o setenv.o setenv_r.o strdup.o strdup_r.o strtod.o strtol.o \ -strtoul.o system.o valloc.o wcstombs.o wcstombs_r.o wctomb.o wctomb_r.o +getenv.o getenv_r.o getopt.o labs.o ldiv.o ldtoa.o malign.o malloc.o \ +mblen.o mblen_r.o mbstowcs.o mbstowcs_r.o mbtowc.o mbtowc_r.o mlock.o \ +mprec.o msize.o mstats.o mtrim.o putenv.o putenv_r.o qsort.o rand.o \ +rand_r.o realloc.o setenv.o setenv_r.o strdup.o strdup_r.o strtod.o \ +strtol.o strtoul.o system.o valloc.o wcstombs.o wcstombs_r.o wctomb.o \ +wctomb_r.o CFLAGS = @CFLAGS@ COMPILE = $(CC) $(DEFS) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) CCLD = $(CC) @@ -226,7 +228,7 @@ DIST_COMMON = Makefile.am Makefile.in DISTFILES = $(DIST_COMMON) $(SOURCES) $(HEADERS) $(TEXINFOS) $(EXTRA_DIST) -TAR = tar +TAR = gtar GZIP_ENV = --best SOURCES = $(lib_a_SOURCES) OBJECTS = $(lib_a_OBJECTS) @@ -312,7 +314,7 @@ distdir: $(DISTFILES) @for file in $(DISTFILES); do \ if test -f $$file; then d=.; else d=$(srcdir); fi; \ if test -d $$d/$$file; then \ - cp -pr $$/$$file $(distdir)/$$file; \ + cp -pr $$d/$$file $(distdir)/$$file; \ else \ test -f $(distdir)/$$file \ || ln $$d/$$file $(distdir)/$$file 2> /dev/null \ @@ -436,6 +438,7 @@ doc: $(CHEWOUT_FILES) cat $(srcdir)/stdlib.tex >> $(TARGETDOC) dtoa.o: dtoa.c mprec.h +ldtoa.o: ldtoa.c mprec.h ecvtbuf.o: ecvtbuf.c mprec.h mbtowc_r.o: mbtowc_r.c mbctype.h $(COMPILE) -c -fshort-enums $(srcdir)/mbtowc_r.c -o $@ diff --git a/newlib/libc/stdlib/ldtoa.c b/newlib/libc/stdlib/ldtoa.c new file mode 100644 index 000000000..c6e63774e --- /dev/null +++ b/newlib/libc/stdlib/ldtoa.c @@ -0,0 +1,3667 @@ +
+ /* Extended precision arithmetic functions for long double I/O.
+ * This program has been placed in the public domain.
+ */
+
+#include <_ansi.h>
+#include <reent.h>
+#include <string.h>
+#include <stdlib.h>
+#include <alloca.h>
+#include "mprec.h"
+
+/* These are the externally visible entries. */
+/* linux name: long double _IO_strtold (char *, char **); */
+long double _strtold (char *, char **);
+char * _ldtoa_r (struct _reent *, long double, int, int, int *, int *, char **);
+#if 0
+void _IO_ldtostr(long double *, char *, int, int, char);
+#endif
+
+ /* Number of 16 bit words in external x type format */
+ #define NE 10
+
+ /* Number of 16 bit words in internal format */
+ #define NI (NE+3)
+
+ /* Array offset to exponent */
+ #define E 1
+
+ /* Array offset to high guard word */
+ #define M 2
+
+ /* Number of bits of precision */
+ #define NBITS ((NI-4)*16)
+
+ /* Maximum number of decimal digits in ASCII conversion
+ * = NBITS*log10(2)
+ */
+ #define NDEC (NBITS*8/27)
+
+ /* The exponent of 1.0 */
+ #define EXONE (0x3fff)
+
+/* Control structure for long doublue conversion including rounding precision values.
+ * rndprc can be set to 80 (if NE=6), 64, 56, 53, or 24 bits.
+ */
+typedef struct
+{
+ int rlast;
+ int rndprc;
+ int rw;
+ int re;
+ int outexpon;
+ unsigned short rmsk;
+ unsigned short rmbit;
+ unsigned short rebit;
+ unsigned short rbit[NI];
+ unsigned short equot[NI];
+} LDPARMS;
+
+static void esub(short unsigned int *a, short unsigned int *b, short unsigned int *c, LDPARMS *ldp);
+static void emul(short unsigned int *a, short unsigned int *b, short unsigned int *c, LDPARMS *ldp);
+static void ediv(short unsigned int *a, short unsigned int *b, short unsigned int *c, LDPARMS *ldp);
+static int ecmp(short unsigned int *a, short unsigned int *b);
+static int enormlz(short unsigned int *x);
+static int eshift(short unsigned int *x, int sc);
+static void eshup1(register short unsigned int *x);
+static void eshup8(register short unsigned int *x);
+static void eshup6(register short unsigned int *x);
+static void eshdn1(register short unsigned int *x);
+static void eshdn8(register short unsigned int *x);
+static void eshdn6(register short unsigned int *x);
+static void eneg(short unsigned int *x);
+static void emov(register short unsigned int *a, register short unsigned int *b);
+static void eclear(register short unsigned int *x);
+static void einfin(register short unsigned int *x, register LDPARMS *ldp);
+static void efloor(short unsigned int *x, short unsigned int *y, LDPARMS *ldp);
+static void etoasc(short unsigned int *x, char *string, int ndigs, int outformat, LDPARMS *ldp);
+#if LDBL_MANT_DIG == 24
+static void e24toe(short unsigned int *pe, short unsigned int *y, LDPARMS *ldp);
+#elif LDBL_MANT_DIG == 53
+static void e53toe(short unsigned int *pe, short unsigned int *y, LDPARMS *ldp);
+#elif LDBL_MANT_DIG == 64
+static void e64toe(short unsigned int *pe, short unsigned int *y, LDPARMS *ldp);
+#else
+static void e113toe(short unsigned int *pe, short unsigned int *y, LDPARMS *ldp);
+#endif
+
+/* econst.c */
+/* e type constants used by high precision check routines */
+
+#if NE == 10
+/* 0.0 */
+static unsigned short ezero[NE] =
+ {0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,};
+
+/* 1.0E0 */
+static unsigned short eone[NE] =
+ {0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x3fff,};
+
+#else
+
+/* 0.0 */
+static unsigned short ezero[NE] = {
+0, 0000000,0000000,0000000,0000000,0000000,};
+/* 1.0E0 */
+static unsigned short eone[NE] = {
+0, 0000000,0000000,0000000,0100000,0x3fff,};
+
+#endif
+
+/* Debugging routine for displaying errors */
+#ifdef DEBUG
+/* Notice: the order of appearance of the following
+ * messages is bound to the error codes defined
+ * in mconf.h.
+ */
+static char *ermsg[7] = {
+"unknown", /* error code 0 */
+"domain", /* error code 1 */
+"singularity", /* et seq. */
+"overflow",
+"underflow",
+"total loss of precision",
+"partial loss of precision"
+};
+#define mtherr(name, code) printf( "\n%s %s error\n", name, ermsg[code] );
+#else
+#define mtherr(name, code)
+#endif
+
+/* ieee.c
+ *
+ * Extended precision IEEE binary floating point arithmetic routines
+ *
+ * Numbers are stored in C language as arrays of 16-bit unsigned
+ * short integers. The arguments of the routines are pointers to
+ * the arrays.
+ *
+ *
+ * External e type data structure, simulates Intel 8087 chip
+ * temporary real format but possibly with a larger significand:
+ *
+ * NE-1 significand words (least significant word first,
+ * most significant bit is normally set)
+ * exponent (value = EXONE for 1.0,
+ * top bit is the sign)
+ *
+ *
+ * Internal data structure of a number (a "word" is 16 bits):
+ *
+ * ei[0] sign word (0 for positive, 0xffff for negative)
+ * ei[1] biased exponent (value = EXONE for the number 1.0)
+ * ei[2] high guard word (always zero after normalization)
+ * ei[3]
+ * to ei[NI-2] significand (NI-4 significand words,
+ * most significant word first,
+ * most significant bit is set)
+ * ei[NI-1] low guard word (0x8000 bit is rounding place)
+ *
+ *
+ *
+ * Routines for external format numbers
+ *
+ * asctoe( string, e ) ASCII string to extended double e type
+ * asctoe64( string, &d ) ASCII string to long double
+ * asctoe53( string, &d ) ASCII string to double
+ * asctoe24( string, &f ) ASCII string to single
+ * asctoeg( string, e, prec, ldp ) ASCII string to specified precision
+ * e24toe( &f, e, ldp ) IEEE single precision to e type
+ * e53toe( &d, e, ldp ) IEEE double precision to e type
+ * e64toe( &d, e, ldp ) IEEE long double precision to e type
+ * e113toe( &d, e, ldp ) IEEE long double precision to e type
+ * eabs(e) absolute value
+ * eadd( a, b, c ) c = b + a
+ * eclear(e) e = 0
+ * ecmp (a, b) Returns 1 if a > b, 0 if a == b,
+ * -1 if a < b, -2 if either a or b is a NaN.
+ * ediv( a, b, c, ldp ) c = b / a
+ * efloor( a, b, ldp ) truncate to integer, toward -infinity
+ * efrexp( a, exp, s ) extract exponent and significand
+ * eifrac( e, &l, frac ) e to long integer and e type fraction
+ * euifrac( e, &l, frac ) e to unsigned long integer and e type fraction
+ * einfin( e, ldp ) set e to infinity, leaving its sign alone
+ * eldexp( a, n, b ) multiply by 2**n
+ * emov( a, b ) b = a
+ * emul( a, b, c, ldp ) c = b * a
+ * eneg(e) e = -e
+ * eround( a, b ) b = nearest integer value to a
+ * esub( a, b, c, ldp ) c = b - a
+ * e24toasc( &f, str, n ) single to ASCII string, n digits after decimal
+ * e53toasc( &d, str, n ) double to ASCII string, n digits after decimal
+ * e64toasc( &d, str, n ) long double to ASCII string
+ * etoasc(e,str,n,fmt,ldp)e to ASCII string, n digits after decimal
+ * etoe24( e, &f ) convert e type to IEEE single precision
+ * etoe53( e, &d ) convert e type to IEEE double precision
+ * etoe64( e, &d ) convert e type to IEEE long double precision
+ * ltoe( &l, e ) long (32 bit) integer to e type
+ * ultoe( &l, e ) unsigned long (32 bit) integer to e type
+ * eisneg( e ) 1 if sign bit of e != 0, else 0
+ * eisinf( e ) 1 if e has maximum exponent (non-IEEE)
+ * or is infinite (IEEE)
+ * eisnan( e ) 1 if e is a NaN
+ * esqrt( a, b ) b = square root of a
+ *
+ *
+ * Routines for internal format numbers
+ *
+ * eaddm( ai, bi ) add significands, bi = bi + ai
+ * ecleaz(ei) ei = 0
+ * ecleazs(ei) set ei = 0 but leave its sign alone
+ * ecmpm( ai, bi ) compare significands, return 1, 0, or -1
+ * edivm( ai, bi, ldp ) divide significands, bi = bi / ai
+ * emdnorm(ai,l,s,exp,ldp) normalize and round off
+ * emovi( a, ai ) convert external a to internal ai
+ * emovo( ai, a, ldp ) convert internal ai to external a
+ * emovz( ai, bi ) bi = ai, low guard word of bi = 0
+ * emulm( ai, bi, ldp ) multiply significands, bi = bi * ai
+ * enormlz(ei) left-justify the significand
+ * eshdn1( ai ) shift significand and guards down 1 bit
+ * eshdn8( ai ) shift down 8 bits
+ * eshdn6( ai ) shift down 16 bits
+ * eshift( ai, n ) shift ai n bits up (or down if n < 0)
+ * eshup1( ai ) shift significand and guards up 1 bit
+ * eshup8( ai ) shift up 8 bits
+ * eshup6( ai ) shift up 16 bits
+ * esubm( ai, bi ) subtract significands, bi = bi - ai
+ *
+ *
+ * The result is always normalized and rounded to NI-4 word precision
+ * after each arithmetic operation.
+ *
+ * Exception flags are NOT fully supported.
+ *
+ * Define INFINITY in mconf.h for support of infinity; otherwise a
+ * saturation arithmetic is implemented.
+ *
+ * Define NANS for support of Not-a-Number items; otherwise the
+ * arithmetic will never produce a NaN output, and might be confused
+ * by a NaN input.
+ * If NaN's are supported, the output of ecmp(a,b) is -2 if
+ * either a or b is a NaN. This means asking if(ecmp(a,b) < 0)
+ * may not be legitimate. Use if(ecmp(a,b) == -1) for less-than
+ * if in doubt.
+ * Signaling NaN's are NOT supported; they are treated the same
+ * as quiet NaN's.
+ *
+ * Denormals are always supported here where appropriate (e.g., not
+ * for conversion to DEC numbers).
+ */
+
+/*
+ * Revision history:
+ *
+ * 5 Jan 84 PDP-11 assembly language version
+ * 6 Dec 86 C language version
+ * 30 Aug 88 100 digit version, improved rounding
+ * 15 May 92 80-bit long double support
+ * 22 Nov 00 Revised to fit into newlib by Jeff Johnston <jjohnstn@redhat.com>
+ *
+ * Author: S. L. Moshier.
+ *
+ * Copyright (c) 1984,2000 S.L. Moshier
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose without fee is hereby granted, provided that this entire notice
+ * is included in all copies of any software which is or includes a copy
+ * or modification of this software and in all copies of the supporting
+ * documentation for such software.
+ *
+ * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
+ * WARRANTY. IN PARTICULAR, THE AUTHOR MAKES NO REPRESENTATION
+ * OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY OF THIS
+ * SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
+ *
+ */
+
+#include <stdio.h>
+/* #include "\usr\include\stdio.h" */
+/*#include "ehead.h"*/
+/*#include "mconf.h"*/
+/* mconf.h
+ *
+ * Common include file for math routines
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * #include "mconf.h"
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * This file contains definitions for error codes that are
+ * passed to the common error handling routine mtherr()
+ * (which see).
+ *
+ * The file also includes a conditional assembly definition
+ * for the type of computer arithmetic (IEEE, DEC, Motorola
+ * IEEE, or UNKnown).
+ *
+ * For Digital Equipment PDP-11 and VAX computers, certain
+ * IBM systems, and others that use numbers with a 56-bit
+ * significand, the symbol DEC should be defined. In this
+ * mode, most floating point constants are given as arrays
+ * of octal integers to eliminate decimal to binary conversion
+ * errors that might be introduced by the compiler.
+ *
+ * For computers, such as IBM PC, that follow the IEEE
+ * Standard for Binary Floating Point Arithmetic (ANSI/IEEE
+ * Std 754-1985), the symbol IBMPC should be defined. These
+ * numbers have 53-bit significands. In this mode, constants
+ * are provided as arrays of hexadecimal 16 bit integers.
+ *
+ * To accommodate other types of computer arithmetic, all
+ * constants are also provided in a normal decimal radix
+ * which one can hope are correctly converted to a suitable
+ * format by the available C language compiler. To invoke
+ * this mode, the symbol UNK is defined.
+ *
+ * An important difference among these modes is a predefined
+ * set of machine arithmetic constants for each. The numbers
+ * MACHEP (the machine roundoff error), MAXNUM (largest number
+ * represented), and several other parameters are preset by
+ * the configuration symbol. Check the file const.c to
+ * ensure that these values are correct for your computer.
+ *
+ * For ANSI C compatibility, define ANSIC equal to 1. Currently
+ * this affects only the atan2() function and others that use it.
+ */
+
+/* Constant definitions for math error conditions
+ */
+
+#define DOMAIN 1 /* argument domain error */
+#define SING 2 /* argument singularity */
+#define OVERFLOW 3 /* overflow range error */
+#define UNDERFLOW 4 /* underflow range error */
+#define TLOSS 5 /* total loss of precision */
+#define PLOSS 6 /* partial loss of precision */
+
+#define EDOM 33
+#define ERANGE 34
+
+typedef struct
+ {
+ double r;
+ double i;
+ }cmplx;
+
+/* Type of computer arithmetic */
+
+#ifndef DEC
+#ifdef __IEEE_LITTLE_ENDIAN
+#define IBMPC 1
+#else /* !__IEEE_LITTLE_ENDIAN */
+#define MIEEE 1
+#endif /* !__IEEE_LITTLE_ENDIAN */
+#endif /* !DEC */
+
+/* Define 1 for ANSI C atan2() function
+ * See atan.c and clog.c.
+ */
+#define ANSIC 1
+
+/*define VOLATILE volatile*/
+#define VOLATILE
+
+#define NANS
+#define INFINITY
+
+/* NaN's require infinity support. */
+#ifdef NANS
+#ifndef INFINITY
+#define INFINITY
+#endif
+#endif
+
+/* This handles 64-bit long ints. */
+#define LONGBITS (8 * sizeof(long))
+
+
+static void eaddm(short unsigned int *x, short unsigned int *y);
+static void esubm(short unsigned int *x, short unsigned int *y);
+static void emdnorm(short unsigned int *s, int lost, int subflg, long int exp, int rcntrl, LDPARMS *ldp);
+static int asctoeg(char *ss, short unsigned int *y, int oprec, LDPARMS *ldp);
+static void enan(short unsigned int *nan, int size);
+#if LDBL_MANT_DIG == 24
+static void toe24(short unsigned int *x, short unsigned int *y);
+#elif LDBL_MANT_DIG == 53
+static void toe53(short unsigned int *x, short unsigned int *y);
+#elif LDBL_MANT_DIG == 64
+static void toe64(short unsigned int *a, short unsigned int *b);
+#else
+static void toe113(short unsigned int *a, short unsigned int *b);
+#endif
+static void eiremain(short unsigned int *den, short unsigned int *num, LDPARMS *ldp);
+static int ecmpm(register short unsigned int *a, register short unsigned int *b);
+static int edivm(short unsigned int *den, short unsigned int *num, LDPARMS *ldp);
+static int emulm(short unsigned int *a, short unsigned int *b, LDPARMS *ldp);
+static int eisneg(short unsigned int *x);
+static int eisinf(short unsigned int *x);
+static void emovi(short unsigned int *a, short unsigned int *b);
+static void emovo(short unsigned int *a, short unsigned int *b, LDPARMS *ldp);
+static void emovz(register short unsigned int *a, register short unsigned int *b);
+static void ecleaz(register short unsigned int *xi);
+static void eadd1(short unsigned int *a, short unsigned int *b, short unsigned int *c, int subflg, LDPARMS *ldp);
+static int eisnan(short unsigned int *x);
+static int eiisnan(short unsigned int *x);
+
+#ifdef DEC
+static void etodec(), todec(), dectoe();
+#endif
+
+/*
+; Clear out entire external format number.
+;
+; unsigned short x[];
+; eclear( x );
+*/
+
+static void eclear(register short unsigned int *x)
+{
+register int i;
+
+for( i=0; i<NE; i++ )
+ *x++ = 0;
+}
+
+
+
+/* Move external format number from a to b.
+ *
+ * emov( a, b );
+ */
+
+static void emov(register short unsigned int *a, register short unsigned int *b)
+{
+register int i;
+
+for( i=0; i<NE; i++ )
+ *b++ = *a++;
+}
+
+
+/*
+; Negate external format number
+;
+; unsigned short x[NE];
+; eneg( x );
+*/
+
+static void eneg(short unsigned int *x)
+{
+
+#ifdef NANS
+if( eisnan(x) )
+ return;
+#endif
+x[NE-1] ^= 0x8000; /* Toggle the sign bit */
+}
+
+
+
+/* Return 1 if external format number is negative,
+ * else return zero.
+ */
+static int eisneg(short unsigned int *x)
+{
+
+#ifdef NANS
+if( eisnan(x) )
+ return( 0 );
+#endif
+if( x[NE-1] & 0x8000 )
+ return( 1 );
+else
+ return( 0 );
+}
+
+
+/* Return 1 if external format number has maximum possible exponent,
+ * else return zero.
+ */
+static int eisinf(short unsigned int *x)
+{
+
+if( (x[NE-1] & 0x7fff) == 0x7fff )
+ {
+#ifdef NANS
+ if( eisnan(x) )
+ return( 0 );
+#endif
+ return( 1 );
+ }
+else
+ return( 0 );
+}
+
+/* Check if e-type number is not a number.
+ */
+static int eisnan(short unsigned int *x)
+{
+
+#ifdef NANS
+int i;
+/* NaN has maximum exponent */
+if( (x[NE-1] & 0x7fff) != 0x7fff )
+ return (0);
+/* ... and non-zero significand field. */
+for( i=0; i<NE-1; i++ )
+ {
+ if( *x++ != 0 )
+ return (1);
+ }
+#endif
+return (0);
+}
+
+/*
+; Fill entire number, including exponent and significand, with
+; largest possible number. These programs implement a saturation
+; value that is an ordinary, legal number. A special value
+; "infinity" may also be implemented; this would require tests
+; for that value and implementation of special rules for arithmetic
+; operations involving inifinity.
+*/
+
+static void einfin(register short unsigned int *x, register LDPARMS *ldp)
+{
+register int i;
+
+#ifdef INFINITY
+for( i=0; i<NE-1; i++ )
+ *x++ = 0;
+*x |= 32767;
+ldp = ldp;
+#else
+for( i=0; i<NE-1; i++ )
+ *x++ = 0xffff;
+*x |= 32766;
+if( ldp->rndprc < NBITS )
+ {
+ if (ldp->rndprc == 113)
+ {
+ *(x - 9) = 0;
+ *(x - 8) = 0;
+ }
+ if( ldp->rndprc == 64 )
+ {
+ *(x-5) = 0;
+ }
+ if( ldp->rndprc == 53 )
+ {
+ *(x-4) = 0xf800;
+ }
+ else
+ {
+ *(x-4) = 0;
+ *(x-3) = 0;
+ *(x-2) = 0xff00;
+ }
+ }
+#endif
+}
+
+/* Move in external format number,
+ * converting it to internal format.
+ */
+static void emovi(short unsigned int *a, short unsigned int *b)
+{
+register unsigned short *p, *q;
+int i;
+
+q = b;
+p = a + (NE-1); /* point to last word of external number */
+/* get the sign bit */
+if( *p & 0x8000 )
+ *q++ = 0xffff;
+else
+ *q++ = 0;
+/* get the exponent */
+*q = *p--;
+*q++ &= 0x7fff; /* delete the sign bit */
+#ifdef INFINITY
+if( (*(q-1) & 0x7fff) == 0x7fff )
+ {
+#ifdef NANS
+ if( eisnan(a) )
+ {
+ *q++ = 0;
+ for( i=3; i<NI; i++ )
+ *q++ = *p--;
+ return;
+ }
+#endif
+ for( i=2; i<NI; i++ )
+ *q++ = 0;
+ return;
+ }
+#endif
+/* clear high guard word */
+*q++ = 0;
+/* move in the significand */
+for( i=0; i<NE-1; i++ )
+ *q++ = *p--;
+/* clear low guard word */
+*q = 0;
+}
+
+
+/* Move internal format number out,
+ * converting it to external format.
+ */
+static void emovo(short unsigned int *a, short unsigned int *b, LDPARMS *ldp)
+{
+register unsigned short *p, *q;
+unsigned short i;
+
+p = a;
+q = b + (NE-1); /* point to output exponent */
+/* combine sign and exponent */
+i = *p++;
+if( i )
+ *q-- = *p++ | 0x8000;
+else
+ *q-- = *p++;
+#ifdef INFINITY
+if( *(p-1) == 0x7fff )
+ {
+#ifdef NANS
+ if( eiisnan(a) )
+ {
+ enan( b, NBITS );
+ return;
+ }
+#endif
+ einfin(b, ldp);
+ return;
+ }
+#endif
+/* skip over guard word */
+++p;
+/* move the significand */
+for( i=0; i<NE-1; i++ )
+ *q-- = *p++;
+}
+
+
+/* Clear out internal format number.
+ */
+
+static void ecleaz(register short unsigned int *xi)
+{
+register int i;
+
+for( i=0; i<NI; i++ )
+ *xi++ = 0;
+}
+
+/* same, but don't touch the sign. */
+
+static void ecleazs(register short unsigned int *xi)
+{
+register int i;
+
+++xi;
+for(i=0; i<NI-1; i++)
+ *xi++ = 0;
+}
+
+
+
+
+/* Move internal format number from a to b.
+ */
+static void emovz(register short unsigned int *a, register short unsigned int *b)
+{
+register int i;
+
+for( i=0; i<NI-1; i++ )
+ *b++ = *a++;
+/* clear low guard word */
+*b = 0;
+}
+
+/* Return nonzero if internal format number is a NaN.
+ */
+
+static int eiisnan (short unsigned int *x)
+{
+int i;
+
+if( (x[E] & 0x7fff) == 0x7fff )
+ {
+ for( i=M+1; i<NI; i++ )
+ {
+ if( x[i] != 0 )
+ return(1);
+ }
+ }
+return(0);
+}
+
+/* Return nonzero if internal format number is infinite. */
+
+static int
+eiisinf (x)
+ unsigned short x[];
+{
+
+#ifdef NANS
+ if (eiisnan (x))
+ return (0);
+#endif
+ if ((x[E] & 0x7fff) == 0x7fff)
+ return (1);
+ return (0);
+}
+
+/*
+; Compare significands of numbers in internal format.
+; Guard words are included in the comparison.
+;
+; unsigned short a[NI], b[NI];
+; cmpm( a, b );
+;
+; for the significands:
+; returns +1 if a > b
+; 0 if a == b
+; -1 if a < b
+*/
+static int ecmpm(register short unsigned int *a, register short unsigned int *b)
+{
+int i;
+
+a += M; /* skip up to significand area */
+b += M;
+for( i=M; i<NI; i++ )
+ {
+ if( *a++ != *b++ )
+ goto difrnt;
+ }
+return(0);
+
+difrnt:
+if( *(--a) > *(--b) )
+ return(1);
+else
+ return(-1);
+}
+
+
+/*
+; Shift significand down by 1 bit
+*/
+
+static void eshdn1(register short unsigned int *x)
+{
+register unsigned short bits;
+int i;
+
+x += M; /* point to significand area */
+
+bits = 0;
+for( i=M; i<NI; i++ )
+ {
+ if( *x & 1 )
+ bits |= 1;
+ *x >>= 1;
+ if( bits & 2 )
+ *x |= 0x8000;
+ bits <<= 1;
+ ++x;
+ }
+}
+
+
+
+/*
+; Shift significand up by 1 bit
+*/
+
+static void eshup1(register short unsigned int *x)
+{
+register unsigned short bits;
+int i;
+
+x += NI-1;
+bits = 0;
+
+for( i=M; i<NI; i++ )
+ {
+ if( *x & 0x8000 )
+ bits |= 1;
+ *x <<= 1;
+ if( bits & 2 )
+ *x |= 1;
+ bits <<= 1;
+ --x;
+ }
+}
+
+
+
+/*
+; Shift significand down by 8 bits
+*/
+
+static void eshdn8(register short unsigned int *x)
+{
+register unsigned short newbyt, oldbyt;
+int i;
+
+x += M;
+oldbyt = 0;
+for( i=M; i<NI; i++ )
+ {
+ newbyt = *x << 8;
+ *x >>= 8;
+ *x |= oldbyt;
+ oldbyt = newbyt;
+ ++x;
+ }
+}
+
+/*
+; Shift significand up by 8 bits
+*/
+
+static void eshup8(register short unsigned int *x)
+{
+int i;
+register unsigned short newbyt, oldbyt;
+
+x += NI-1;
+oldbyt = 0;
+
+for( i=M; i<NI; i++ )
+ {
+ newbyt = *x >> 8;
+ *x <<= 8;
+ *x |= oldbyt;
+ oldbyt = newbyt;
+ --x;
+ }
+}
+
+/*
+; Shift significand up by 16 bits
+*/
+
+static void eshup6(register short unsigned int *x)
+{
+int i;
+register unsigned short *p;
+
+p = x + M;
+x += M + 1;
+
+for( i=M; i<NI-1; i++ )
+ *p++ = *x++;
+
+*p = 0;
+}
+
+/*
+; Shift significand down by 16 bits
+*/
+
+static void eshdn6(register short unsigned int *x)
+{
+int i;
+register unsigned short *p;
+
+x += NI-1;
+p = x + 1;
+
+for( i=M; i<NI-1; i++ )
+ *(--p) = *(--x);
+
+*(--p) = 0;
+}
+
+/*
+; Add significands
+; x + y replaces y
+*/
+
+static void eaddm(short unsigned int *x, short unsigned int *y)
+{
+register unsigned long a;
+int i;
+unsigned int carry;
+
+x += NI-1;
+y += NI-1;
+carry = 0;
+for( i=M; i<NI; i++ )
+ {
+ a = (unsigned long )(*x) + (unsigned long )(*y) + carry;
+ if( a & 0x10000 )
+ carry = 1;
+ else
+ carry = 0;
+ *y = (unsigned short )a;
+ --x;
+ --y;
+ }
+}
+
+/*
+; Subtract significands
+; y - x replaces y
+*/
+
+static void esubm(short unsigned int *x, short unsigned int *y)
+{
+unsigned long a;
+int i;
+unsigned int carry;
+
+x += NI-1;
+y += NI-1;
+carry = 0;
+for( i=M; i<NI; i++ )
+ {
+ a = (unsigned long )(*y) - (unsigned long )(*x) - carry;
+ if( a & 0x10000 )
+ carry = 1;
+ else
+ carry = 0;
+ *y = (unsigned short )a;
+ --x;
+ --y;
+ }
+}
+
+
+/* Divide significands */
+
+
+/* Multiply significand of e-type number b
+by 16-bit quantity a, e-type result to c. */
+
+static void m16m(short unsigned int a, short unsigned int *b, short unsigned int *c)
+{
+register unsigned short *pp;
+register unsigned long carry;
+unsigned short *ps;
+unsigned short p[NI];
+unsigned long aa, m;
+int i;
+
+aa = a;
+pp = &p[NI-2];
+*pp++ = 0;
+*pp = 0;
+ps = &b[NI-1];
+
+for( i=M+1; i<NI; i++ )
+ {
+ if( *ps == 0 )
+ {
+ --ps;
+ --pp;
+ *(pp-1) = 0;
+ }
+ else
+ {
+ m = (unsigned long) aa * *ps--;
+ carry = (m & 0xffff) + *pp;
+ *pp-- = (unsigned short )carry;
+ carry = (carry >> 16) + (m >> 16) + *pp;
+ *pp = (unsigned short )carry;
+ *(pp-1) = carry >> 16;
+ }
+ }
+for( i=M; i<NI; i++ )
+ c[i] = p[i];
+}
+
+
+/* Divide significands. Neither the numerator nor the denominator
+is permitted to have its high guard word nonzero. */
+
+
+static int edivm(short unsigned int *den, short unsigned int *num, LDPARMS *ldp)
+{
+int i;
+register unsigned short *p;
+unsigned long tnum;
+unsigned short j, tdenm, tquot;
+unsigned short tprod[NI+1];
+unsigned short *equot = ldp->equot;
+
+p = &equot[0];
+*p++ = num[0];
+*p++ = num[1];
+
+for( i=M; i<NI; i++ )
+ {
+ *p++ = 0;
+ }
+eshdn1( num );
+tdenm = den[M+1];
+for( i=M; i<NI; i++ )
+ {
+ /* Find trial quotient digit (the radix is 65536). */
+ tnum = (((unsigned long) num[M]) << 16) + num[M+1];
+
+ /* Do not execute the divide instruction if it will overflow. */
+ if( (tdenm * 0xffffUL) < tnum )
+ tquot = 0xffff;
+ else
+ tquot = tnum / tdenm;
+
+ /* Prove that the divide worked. */
+/*
+ tcheck = (unsigned long )tquot * tdenm;
+ if( tnum - tcheck > tdenm )
+ tquot = 0xffff;
+*/
+ /* Multiply denominator by trial quotient digit. */
+ m16m( tquot, den, tprod );
+ /* The quotient digit may have been overestimated. */
+ if( ecmpm( tprod, num ) > 0 )
+ {
+ tquot -= 1;
+ esubm( den, tprod );
+ if( ecmpm( tprod, num ) > 0 )
+ {
+ tquot -= 1;
+ esubm( den, tprod );
+ }
+ }
+/*
+ if( ecmpm( tprod, num ) > 0 )
+ {
+ eshow( "tprod", tprod );
+ eshow( "num ", num );
+ printf( "tnum = %08lx, tden = %04x, tquot = %04x\n",
+ tnum, den[M+1], tquot );
+ }
+*/
+ esubm( tprod, num );
+/*
+ if( ecmpm( num, den ) >= 0 )
+ {
+ eshow( "num ", num );
+ eshow( "den ", den );
+ printf( "tnum = %08lx, tden = %04x, tquot = %04x\n",
+ tnum, den[M+1], tquot );
+ }
+*/
+ equot[i] = tquot;
+ eshup6(num);
+ }
+/* test for nonzero remainder after roundoff bit */
+p = &num[M];
+j = 0;
+for( i=M; i<NI; i++ )
+ {
+ j |= *p++;
+ }
+if( j )
+ j = 1;
+
+for( i=0; i<NI; i++ )
+ num[i] = equot[i];
+
+return( (int )j );
+}
+
+
+
+/* Multiply significands */
+static int emulm(short unsigned int *a, short unsigned int *b, LDPARMS *ldp)
+{
+unsigned short *p, *q;
+unsigned short pprod[NI];
+unsigned short j;
+int i;
+unsigned short *equot = ldp->equot;
+
+equot[0] = b[0];
+equot[1] = b[1];
+for( i=M; i<NI; i++ )
+ equot[i] = 0;
+
+j = 0;
+p = &a[NI-1];
+q = &equot[NI-1];
+for( i=M+1; i<NI; i++ )
+ {
+ if( *p == 0 )
+ {
+ --p;
+ }
+ else
+ {
+ m16m( *p--, b, pprod );
+ eaddm(pprod, equot);
+ }
+ j |= *q;
+ eshdn6(equot);
+ }
+
+for( i=0; i<NI; i++ )
+ b[i] = equot[i];
+
+/* return flag for lost nonzero bits */
+return( (int)j );
+}
+
+
+/*
+static void eshow(str, x)
+char *str;
+unsigned short *x;
+{
+int i;
+
+printf( "%s ", str );
+for( i=0; i<NI; i++ )
+ printf( "%04x ", *x++ );
+printf( "\n" );
+}
+*/
+
+
+/*
+ * Normalize and round off.
+ *
+ * The internal format number to be rounded is "s".
+ * Input "lost" indicates whether the number is exact.
+ * This is the so-called sticky bit.
+ *
+ * Input "subflg" indicates whether the number was obtained
+ * by a subtraction operation. In that case if lost is nonzero
+ * then the number is slightly smaller than indicated.
+ *
+ * Input "exp" is the biased exponent, which may be negative.
+ * the exponent field of "s" is ignored but is replaced by
+ * "exp" as adjusted by normalization and rounding.
+ *
+ * Input "rcntrl" is the rounding control.
+ */
+
+
+static void emdnorm(short unsigned int *s, int lost, int subflg, long int exp, int rcntrl, LDPARMS *ldp)
+{
+int i, j;
+unsigned short r;
+
+/* Normalize */
+j = enormlz( s );
+
+/* a blank significand could mean either zero or infinity. */
+#ifndef INFINITY
+if( j > NBITS )
+ {
+ ecleazs( s );
+ return;
+ }
+#endif
+exp -= j;
+#ifndef INFINITY
+if( exp >= 32767L )
+ goto overf;
+#else
+if( (j > NBITS) && (exp < 32767L) )
+ {
+ ecleazs( s );
+ return;
+ }
+#endif
+if( exp < 0L )
+ {
+ if( exp > (long )(-NBITS-1) )
+ {
+ j = (int )exp;
+ i = eshift( s, j );
+ if( i )
+ lost = 1;
+ }
+ else
+ {
+ ecleazs( s );
+ return;
+ }
+ }
+/* Round off, unless told not to by rcntrl. */
+if( rcntrl == 0 )
+ goto mdfin;
+/* Set up rounding parameters if the control register changed. */
+if( ldp->rndprc != ldp->rlast )
+ {
+ ecleaz( ldp->rbit );
+ switch( ldp->rndprc )
+ {
+ default:
+ case NBITS:
+ ldp->rw = NI-1; /* low guard word */
+ ldp->rmsk = 0xffff;
+ ldp->rmbit = 0x8000;
+ ldp->rebit = 1;
+ ldp->re = ldp->rw - 1;
+ break;
+ case 113:
+ ldp->rw = 10;
+ ldp->rmsk = 0x7fff;
+ ldp->rmbit = 0x4000;
+ ldp->rebit = 0x8000;
+ ldp->re = ldp->rw;
+ break;
+ case 64:
+ ldp->rw = 7;
+ ldp->rmsk = 0xffff;
+ ldp->rmbit = 0x8000;
+ ldp->rebit = 1;
+ ldp->re = ldp->rw-1;
+ break;
+/* For DEC arithmetic */
+ case 56:
+ ldp->rw = 6;
+ ldp->rmsk = 0xff;
+ ldp->rmbit = 0x80;
+ ldp->rebit = 0x100;
+ ldp->re = ldp->rw;
+ break;
+ case 53:
+ ldp->rw = 6;
+ ldp->rmsk = 0x7ff;
+ ldp->rmbit = 0x0400;
+ ldp->rebit = 0x800;
+ ldp->re = ldp->rw;
+ break;
+ case 24:
+ ldp->rw = 4;
+ ldp->rmsk = 0xff;
+ ldp->rmbit = 0x80;
+ ldp->rebit = 0x100;
+ ldp->re = ldp->rw;
+ break;
+ }
+ ldp->rbit[ldp->re] = ldp->rebit;
+ ldp->rlast = ldp->rndprc;
+ }
+
+/* Shift down 1 temporarily if the data structure has an implied
+ * most significant bit and the number is denormal.
+ * For rndprc = 64 or NBITS, there is no implied bit.
+ * But Intel long double denormals lose one bit of significance even so.
+ */
+#if IBMPC
+if( (exp <= 0) && (ldp->rndprc != NBITS) )
+#else
+if( (exp <= 0) && (ldp->rndprc != 64) && (ldp->rndprc != NBITS) )
+#endif
+ {
+ lost |= s[NI-1] & 1;
+ eshdn1(s);
+ }
+/* Clear out all bits below the rounding bit,
+ * remembering in r if any were nonzero.
+ */
+r = s[ldp->rw] & ldp->rmsk;
+if( ldp->rndprc < NBITS )
+ {
+ i = ldp->rw + 1;
+ while( i < NI )
+ {
+ if( s[i] )
+ r |= 1;
+ s[i] = 0;
+ ++i;
+ }
+ }
+s[ldp->rw] &= ~ldp->rmsk;
+if( (r & ldp->rmbit) != 0 )
+ {
+ if( r == ldp->rmbit )
+ {
+ if( lost == 0 )
+ { /* round to even */
+ if( (s[ldp->re] & ldp->rebit) == 0 )
+ goto mddone;
+ }
+ else
+ {
+ if( subflg != 0 )
+ goto mddone;
+ }
+ }
+ eaddm( ldp->rbit, s );
+ }
+mddone:
+#if IBMPC
+if( (exp <= 0) && (ldp->rndprc != NBITS) )
+#else
+if( (exp <= 0) && (ldp->rndprc != 64) && (ldp->rndprc != NBITS) )
+#endif
+ {
+ eshup1(s);
+ }
+if( s[2] != 0 )
+ { /* overflow on roundoff */
+ eshdn1(s);
+ exp += 1;
+ }
+mdfin:
+s[NI-1] = 0;
+if( exp >= 32767L )
+ {
+#ifndef INFINITY
+overf:
+#endif
+#ifdef INFINITY
+ s[1] = 32767;
+ for( i=2; i<NI-1; i++ )
+ s[i] = 0;
+#else
+ s[1] = 32766;
+ s[2] = 0;
+ for( i=M+1; i<NI-1; i++ )
+ s[i] = 0xffff;
+ s[NI-1] = 0;
+ if( (ldp->rndprc < 64) || (ldp->rndprc == 113) )
+ {
+ s[ldp->rw] &= ~ldp->rmsk;
+ if( ldp->rndprc == 24 )
+ {
+ s[5] = 0;
+ s[6] = 0;
+ }
+ }
+#endif
+ return;
+ }
+if( exp < 0 )
+ s[1] = 0;
+else
+ s[1] = (unsigned short )exp;
+}
+
+
+
+/*
+; Subtract external format numbers.
+;
+; unsigned short a[NE], b[NE], c[NE];
+; LDPARMS *ldp;
+; esub( a, b, c, ldp ); c = b - a
+*/
+
+static void esub(short unsigned int *a, short unsigned int *b, short unsigned int *c, LDPARMS *ldp)
+{
+
+#ifdef NANS
+if( eisnan(a) )
+ {
+ emov (a, c);
+ return;
+ }
+if( eisnan(b) )
+ {
+ emov(b,c);
+ return;
+ }
+/* Infinity minus infinity is a NaN.
+ * Test for subtracting infinities of the same sign.
+ */
+if( eisinf(a) && eisinf(b) && ((eisneg (a) ^ eisneg (b)) == 0))
+ {
+ mtherr( "esub", DOMAIN );
+ enan( c, NBITS );
+ return;
+ }
+#endif
+eadd1( a, b, c, 1, ldp );
+}
+
+
+
+static void eadd1(short unsigned int *a, short unsigned int *b, short unsigned int *c, int subflg, LDPARMS *ldp)
+{
+unsigned short ai[NI], bi[NI], ci[NI];
+int i, lost, j, k;
+long lt, lta, ltb;
+
+#ifdef INFINITY
+if( eisinf(a) )
+ {
+ emov(a,c);
+ if( subflg )
+ eneg(c);
+ return;
+ }
+if( eisinf(b) )
+ {
+ emov(b,c);
+ return;
+ }
+#endif
+emovi( a, ai );
+emovi( b, bi );
+if( subflg )
+ ai[0] = ~ai[0];
+
+/* compare exponents */
+lta = ai[E];
+ltb = bi[E];
+lt = lta - ltb;
+if( lt > 0L )
+ { /* put the larger number in bi */
+ emovz( bi, ci );
+ emovz( ai, bi );
+ emovz( ci, ai );
+ ltb = bi[E];
+ lt = -lt;
+ }
+lost = 0;
+if( lt != 0L )
+ {
+ if( lt < (long )(-NBITS-1) )
+ goto done; /* answer same as larger addend */
+ k = (int )lt;
+ lost = eshift( ai, k ); /* shift the smaller number down */
+ }
+else
+ {
+/* exponents were the same, so must compare significands */
+ i = ecmpm( ai, bi );
+ if( i == 0 )
+ { /* the numbers are identical in magnitude */
+ /* if different signs, result is zero */
+ if( ai[0] != bi[0] )
+ {
+ eclear(c);
+ return;
+ }
+ /* if same sign, result is double */
+ /* double denomalized tiny number */
+ if( (bi[E] == 0) && ((bi[3] & 0x8000) == 0) )
+ {
+ eshup1( bi );
+ goto done;
+ }
+ /* add 1 to exponent unless both are zero! */
+ for( j=1; j<NI-1; j++ )
+ {
+ if( bi[j] != 0 )
+ {
+/* This could overflow, but let emovo take care of that. */
+ ltb += 1;
+ break;
+ }
+ }
+ bi[E] = (unsigned short )ltb;
+ goto done;
+ }
+ if( i > 0 )
+ { /* put the larger number in bi */
+ emovz( bi, ci );
+ emovz( ai, bi );
+ emovz( ci, ai );
+ }
+ }
+if( ai[0] == bi[0] )
+ {
+ eaddm( ai, bi );
+ subflg = 0;
+ }
+else
+ {
+ esubm( ai, bi );
+ subflg = 1;
+ }
+emdnorm( bi, lost, subflg, ltb, 64, ldp );
+
+done:
+emovo( bi, c, ldp );
+}
+
+
+
+/*
+; Divide.
+;
+; unsigned short a[NE], b[NE], c[NE];
+; LDPARMS *ldp;
+; ediv( a, b, c, ldp ); c = b / a
+*/
+static void ediv(short unsigned int *a, short unsigned int *b, short unsigned int *c, LDPARMS *ldp)
+{
+unsigned short ai[NI], bi[NI];
+int i;
+long lt, lta, ltb;
+
+#ifdef NANS
+/* Return any NaN input. */
+if( eisnan(a) )
+ {
+ emov(a,c);
+ return;
+ }
+if( eisnan(b) )
+ {
+ emov(b,c);
+ return;
+ }
+/* Zero over zero, or infinity over infinity, is a NaN. */
+if( ((ecmp(a,ezero) == 0) && (ecmp(b,ezero) == 0))
+ || (eisinf (a) && eisinf (b)) )
+ {
+ mtherr( "ediv", DOMAIN );
+ enan( c, NBITS );
+ return;
+ }
+#endif
+/* Infinity over anything else is infinity. */
+#ifdef INFINITY
+if( eisinf(b) )
+ {
+ if( eisneg(a) ^ eisneg(b) )
+ *(c+(NE-1)) = 0x8000;
+ else
+ *(c+(NE-1)) = 0;
+ einfin(c, ldp);
+ return;
+ }
+if( eisinf(a) )
+ {
+ eclear(c);
+ return;
+ }
+#endif
+emovi( a, ai );
+emovi( b, bi );
+lta = ai[E];
+ltb = bi[E];
+if( bi[E] == 0 )
+ { /* See if numerator is zero. */
+ for( i=1; i<NI-1; i++ )
+ {
+ if( bi[i] != 0 )
+ {
+ ltb -= enormlz( bi );
+ goto dnzro1;
+ }
+ }
+ eclear(c);
+ return;
+ }
+dnzro1:
+
+if( ai[E] == 0 )
+ { /* possible divide by zero */
+ for( i=1; i<NI-1; i++ )
+ {
+ if( ai[i] != 0 )
+ {
+ lta -= enormlz( ai );
+ goto dnzro2;
+ }
+ }
+ if( ai[0] == bi[0] )
+ *(c+(NE-1)) = 0;
+ else
+ *(c+(NE-1)) = 0x8000;
+ einfin(c, ldp);
+ mtherr( "ediv", SING );
+ return;
+ }
+dnzro2:
+
+i = edivm( ai, bi, ldp );
+/* calculate exponent */
+lt = ltb - lta + EXONE;
+emdnorm( bi, i, 0, lt, 64, ldp );
+/* set the sign */
+if( ai[0] == bi[0] )
+ bi[0] = 0;
+else
+ bi[0] = 0Xffff;
+emovo( bi, c, ldp );
+}
+
+
+
+/*
+; Multiply.
+;
+; unsigned short a[NE], b[NE], c[NE];
+; LDPARMS *ldp
+; emul( a, b, c, ldp ); c = b * a
+*/
+static void emul(short unsigned int *a, short unsigned int *b, short unsigned int *c, LDPARMS *ldp)
+{
+unsigned short ai[NI], bi[NI];
+int i, j;
+long lt, lta, ltb;
+
+#ifdef NANS
+/* NaN times anything is the same NaN. */
+if( eisnan(a) )
+ {
+ emov(a,c);
+ return;
+ }
+if( eisnan(b) )
+ {
+ emov(b,c);
+ return;
+ }
+/* Zero times infinity is a NaN. */
+if( (eisinf(a) && (ecmp(b,ezero) == 0))
+ || (eisinf(b) && (ecmp(a,ezero) == 0)) )
+ {
+ mtherr( "emul", DOMAIN );
+ enan( c, NBITS );
+ return;
+ }
+#endif
+/* Infinity times anything else is infinity. */
+#ifdef INFINITY
+if( eisinf(a) || eisinf(b) )
+ {
+ if( eisneg(a) ^ eisneg(b) )
+ *(c+(NE-1)) = 0x8000;
+ else
+ *(c+(NE-1)) = 0;
+ einfin(c, ldp);
+ return;
+ }
+#endif
+emovi( a, ai );
+emovi( b, bi );
+lta = ai[E];
+ltb = bi[E];
+if( ai[E] == 0 )
+ {
+ for( i=1; i<NI-1; i++ )
+ {
+ if( ai[i] != 0 )
+ {
+ lta -= enormlz( ai );
+ goto mnzer1;
+ }
+ }
+ eclear(c);
+ return;
+ }
+mnzer1:
+
+if( bi[E] == 0 )
+ {
+ for( i=1; i<NI-1; i++ )
+ {
+ if( bi[i] != 0 )
+ {
+ ltb -= enormlz( bi );
+ goto mnzer2;
+ }
+ }
+ eclear(c);
+ return;
+ }
+mnzer2:
+
+/* Multiply significands */
+j = emulm( ai, bi, ldp );
+/* calculate exponent */
+lt = lta + ltb - (EXONE - 1);
+emdnorm( bi, j, 0, lt, 64, ldp );
+/* calculate sign of product */
+if( ai[0] == bi[0] )
+ bi[0] = 0;
+else
+ bi[0] = 0xffff;
+emovo( bi, c, ldp );
+}
+
+
+
+#if LDBL_MANT_DIG > 64
+static void e113toe(short unsigned int *pe, short unsigned int *y, LDPARMS *ldp)
+{
+register unsigned short r;
+unsigned short *e, *p;
+unsigned short yy[NI];
+int denorm, i;
+
+e = pe;
+denorm = 0;
+ecleaz(yy);
+#ifdef IBMPC
+e += 7;
+#endif
+r = *e;
+yy[0] = 0;
+if( r & 0x8000 )
+ yy[0] = 0xffff;
+r &= 0x7fff;
+#ifdef INFINITY
+if( r == 0x7fff )
+ {
+#ifdef NANS
+#ifdef IBMPC
+ for( i=0; i<7; i++ )
+ {
+ if( pe[i] != 0 )
+ {
+ enan( y, NBITS );
+ return;
+ }
+ }
+#else /* !IBMPC */
+ for( i=1; i<8; i++ )
+ {
+ if( pe[i] != 0 )
+ {
+ enan( y, NBITS );
+ return;
+ }
+ }
+#endif /* !IBMPC */
+#endif /* NANS */
+ eclear( y );
+ einfin( y );
+ if( *e & 0x8000 )
+ eneg(y);
+ return;
+ }
+#endif /* INFINITY */
+yy[E] = r;
+p = &yy[M + 1];
+#ifdef IBMPC
+for( i=0; i<7; i++ )
+ *p++ = *(--e);
+#else /* IBMPC */
+++e;
+for( i=0; i<7; i++ )
+ *p++ = *e++;
+#endif /* IBMPC */
+/* If denormal, remove the implied bit; else shift down 1. */
+if( r == 0 )
+ {
+ yy[M] = 0;
+ }
+else
+ {
+ yy[M] = 1;
+ eshift( yy, -1 );
+ }
+emovo(yy,y,ldp);
+}
+
+/* move out internal format to ieee long double */
+static void toe113(short unsigned int *a, short unsigned int *b)
+{
+register unsigned short *p, *q;
+unsigned short i;
+
+#ifdef NANS
+if( eiisnan(a) )
+ {
+ enan( b, 113 );
+ return;
+ }
+#endif
+p = a;
+#ifdef MIEEE
+q = b;
+#else
+q = b + 7; /* point to output exponent */
+#endif
+
+/* If not denormal, delete the implied bit. */
+if( a[E] != 0 )
+ {
+ eshup1 (a);
+ }
+/* combine sign and exponent */
+i = *p++;
+#ifdef MIEEE
+if( i )
+ *q++ = *p++ | 0x8000;
+else
+ *q++ = *p++;
+#else
+if( i )
+ *q-- = *p++ | 0x8000;
+else
+ *q-- = *p++;
+#endif
+/* skip over guard word */
+++p;
+/* move the significand */
+#ifdef MIEEE
+for (i = 0; i < 7; i++)
+ *q++ = *p++;
+#else
+for (i = 0; i < 7; i++)
+ *q-- = *p++;
+#endif
+}
+#endif /* LDBL_MANT_DIG > 64 */
+
+
+#if LDBL_MANT_DIG == 64
+static void e64toe(short unsigned int *pe, short unsigned int *y, LDPARMS *ldp)
+{
+unsigned short yy[NI];
+unsigned short *p, *q, *e;
+int i;
+
+e = pe;
+p = yy;
+
+for( i=0; i<NE-5; i++ )
+ *p++ = 0;
+#ifdef IBMPC
+for( i=0; i<5; i++ )
+ *p++ = *e++;
+#endif
+#ifdef DEC
+for( i=0; i<5; i++ )
+ *p++ = *e++;
+#endif
+#ifdef MIEEE
+p = &yy[0] + (NE-1);
+*p-- = *e++;
+++e; /* MIEEE skips over 2nd short */
+for( i=0; i<4; i++ )
+ *p-- = *e++;
+#endif
+
+#ifdef IBMPC
+/* For Intel long double, shift denormal significand up 1
+ -- but only if the top significand bit is zero. */
+if((yy[NE-1] & 0x7fff) == 0 && (yy[NE-2] & 0x8000) == 0)
+ {
+ unsigned short temp[NI+1];
+ emovi(yy, temp);
+ eshup1(temp);
+ emovo(temp,y,ldp);
+ return;
+ }
+#endif
+#ifdef INFINITY
+/* Point to the exponent field. */
+p = &yy[NE-1];
+if( *p == 0x7fff )
+ {
+#ifdef NANS
+#ifdef IBMPC
+ for( i=0; i<4; i++ )
+ {
+ if((i != 3 && pe[i] != 0)
+ /* Check for Intel long double infinity pattern. */
+ || (i == 3 && pe[i] != 0x8000))
+ {
+ enan( y, NBITS );
+ return;
+ }
+ }
+#endif
+#ifdef MIEEE
+ for( i=2; i<=5; i++ )
+ {
+ if( pe[i] != 0 )
+ {
+ enan( y, NBITS );
+ return;
+ }
+ }
+#endif
+#endif /* NANS */
+ eclear( y );
+ einfin( y, ldp );
+ if( *p & 0x8000 )
+ eneg(y);
+ return;
+ }
+#endif /* INFINITY */
+p = yy;
+q = y;
+for( i=0; i<NE; i++ )
+ *q++ = *p++;
+}
+
+/* move out internal format to ieee long double */
+static void toe64(short unsigned int *a, short unsigned int *b)
+{
+register unsigned short *p, *q;
+unsigned short i;
+
+#ifdef NANS
+if( eiisnan(a) )
+ {
+ enan( b, 64 );
+ return;
+ }
+#endif
+#ifdef IBMPC
+/* Shift Intel denormal significand down 1. */
+if( a[E] == 0 )
+ eshdn1(a);
+#endif
+p = a;
+#ifdef MIEEE
+q = b;
+#else
+q = b + 4; /* point to output exponent */
+/* NOTE: Intel data type is 96 bits wide, clear the last word here. */
+*(q+1)= 0;
+#endif
+
+/* combine sign and exponent */
+i = *p++;
+#ifdef MIEEE
+if( i )
+ *q++ = *p++ | 0x8000;
+else
+ *q++ = *p++;
+*q++ = 0; /* leave 2nd short blank */
+#else
+if( i )
+ *q-- = *p++ | 0x8000;
+else
+ *q-- = *p++;
+#endif
+/* skip over guard word */
+++p;
+/* move the significand */
+#ifdef MIEEE
+for( i=0; i<4; i++ )
+ *q++ = *p++;
+#else
+#ifdef INFINITY
+#ifdef IBMPC
+if (eiisinf (a))
+ {
+ /* Intel long double infinity. */
+ *q-- = 0x8000;
+ *q-- = 0;
+ *q-- = 0;
+ *q = 0;
+ return;
+ }
+#endif /* IBMPC */
+#endif /* INFINITY */
+for( i=0; i<4; i++ )
+ *q-- = *p++;
+#endif
+}
+
+#endif /* LDBL_MANT_DIG == 64 */
+
+#if LDBL_MANT_DIG == 53
+/*
+; Convert IEEE double precision to e type
+; double d;
+; unsigned short x[N+2];
+; e53toe( &d, x );
+*/
+static void e53toe(short unsigned int *pe, short unsigned int *y, LDPARMS *ldp)
+{
+#ifdef DEC
+
+dectoe( pe, y ); /* see etodec.c */
+
+#else
+
+register unsigned short r;
+register unsigned short *p, *e;
+unsigned short yy[NI];
+int denorm, k;
+
+e = pe;
+denorm = 0; /* flag if denormalized number */
+ecleaz(yy);
+#ifdef IBMPC
+e += 3;
+#endif
+#ifdef DEC
+e += 3;
+#endif
+r = *e;
+yy[0] = 0;
+if( r & 0x8000 )
+ yy[0] = 0xffff;
+yy[M] = (r & 0x0f) | 0x10;
+r &= ~0x800f; /* strip sign and 4 significand bits */
+#ifdef INFINITY
+if( r == 0x7ff0 )
+ {
+#ifdef NANS
+#ifdef IBMPC
+ if( ((pe[3] & 0xf) != 0) || (pe[2] != 0)
+ || (pe[1] != 0) || (pe[0] != 0) )
+ {
+ enan( y, NBITS );
+ return;
+ }
+#else /* !IBMPC */
+ if( ((pe[0] & 0xf) != 0) || (pe[1] != 0)
+ || (pe[2] != 0) || (pe[3] != 0) )
+ {
+ enan( y, NBITS );
+ return;
+ }
+#endif /* !IBMPC */
+#endif /* NANS */
+ eclear( y );
+ einfin( y );
+ if( yy[0] )
+ eneg(y);
+ return;
+ }
+#endif
+r >>= 4;
+/* If zero exponent, then the significand is denormalized.
+ * So, take back the understood high significand bit. */
+if( r == 0 )
+ {
+ denorm = 1;
+ yy[M] &= ~0x10;
+ }
+r += EXONE - 01777;
+yy[E] = r;
+p = &yy[M+1];
+#ifdef IBMPC
+*p++ = *(--e);
+*p++ = *(--e);
+*p++ = *(--e);
+#else /* !IBMPC */
+++e;
+*p++ = *e++;
+*p++ = *e++;
+*p++ = *e++;
+#endif /* !IBMPC */
+(void )eshift( yy, -5 );
+if( denorm )
+ { /* if zero exponent, then normalize the significand */
+ if( (k = enormlz(yy)) > NBITS )
+ ecleazs(yy);
+ else
+ yy[E] -= (unsigned short )(k-1);
+ }
+emovo( yy, y, ldp );
+#endif /* !DEC */
+}
+
+/*
+; e type to IEEE double precision
+; double d;
+; unsigned short x[NE];
+; etoe53( x, &d );
+*/
+
+#ifdef DEC
+
+static void etoe53( x, e )
+unsigned short *x, *e;
+{
+etodec( x, e ); /* see etodec.c */
+}
+
+static void toe53( x, y )
+unsigned short *x, *y;
+{
+todec( x, y );
+}
+
+#else
+
+static void toe53(short unsigned int *x, short unsigned int *y)
+{
+unsigned short i;
+unsigned short *p;
+
+
+#ifdef NANS
+if( eiisnan(x) )
+ {
+ enan( y, 53 );
+ return;
+ }
+#endif
+p = &x[0];
+#ifdef IBMPC
+y += 3;
+#endif
+#ifdef DEC
+y += 3;
+#endif
+*y = 0; /* output high order */
+if( *p++ )
+ *y = 0x8000; /* output sign bit */
+
+i = *p++;
+if( i >= (unsigned int )2047 )
+ { /* Saturate at largest number less than infinity. */
+#ifdef INFINITY
+ *y |= 0x7ff0;
+#ifdef IBMPC
+ *(--y) = 0;
+ *(--y) = 0;
+ *(--y) = 0;
+#else /* !IBMPC */
+ ++y;
+ *y++ = 0;
+ *y++ = 0;
+ *y++ = 0;
+#endif /* IBMPC */
+#else /* !INFINITY */
+ *y |= (unsigned short )0x7fef;
+#ifdef IBMPC
+ *(--y) = 0xffff;
+ *(--y) = 0xffff;
+ *(--y) = 0xffff;
+#else /* !IBMPC */
+ ++y;
+ *y++ = 0xffff;
+ *y++ = 0xffff;
+ *y++ = 0xffff;
+#endif
+#endif /* !INFINITY */
+ return;
+ }
+if( i == 0 )
+ {
+ (void )eshift( x, 4 );
+ }
+else
+ {
+ i <<= 4;
+ (void )eshift( x, 5 );
+ }
+i |= *p++ & (unsigned short )0x0f; /* *p = xi[M] */
+*y |= (unsigned short )i; /* high order output already has sign bit set */
+#ifdef IBMPC
+*(--y) = *p++;
+*(--y) = *p++;
+*(--y) = *p;
+#else /* !IBMPC */
+++y;
+*y++ = *p++;
+*y++ = *p++;
+*y++ = *p++;
+#endif /* !IBMPC */
+}
+
+#endif /* not DEC */
+#endif /* LDBL_MANT_DIG == 53 */
+
+#if LDBL_MANT_DIG == 24
+/*
+; Convert IEEE single precision to e type
+; float d;
+; unsigned short x[N+2];
+; dtox( &d, x );
+*/
+void e24toe( short unsigned int *pe, short unsigned int *y, LDPARMS *ldp )
+{
+register unsigned short r;
+register unsigned short *p, *e;
+unsigned short yy[NI];
+int denorm, k;
+
+e = pe;
+denorm = 0; /* flag if denormalized number */
+ecleaz(yy);
+#ifdef IBMPC
+e += 1;
+#endif
+#ifdef DEC
+e += 1;
+#endif
+r = *e;
+yy[0] = 0;
+if( r & 0x8000 )
+ yy[0] = 0xffff;
+yy[M] = (r & 0x7f) | 0200;
+r &= ~0x807f; /* strip sign and 7 significand bits */
+#ifdef INFINITY
+if( r == 0x7f80 )
+ {
+#ifdef NANS
+#ifdef MIEEE
+ if( ((pe[0] & 0x7f) != 0) || (pe[1] != 0) )
+ {
+ enan( y, NBITS );
+ return;
+ }
+#else /* !MIEEE */
+ if( ((pe[1] & 0x7f) != 0) || (pe[0] != 0) )
+ {
+ enan( y, NBITS );
+ return;
+ }
+#endif /* !MIEEE */
+#endif /* NANS */
+ eclear( y );
+ einfin( y );
+ if( yy[0] )
+ eneg(y);
+ return;
+ }
+#endif
+r >>= 7;
+/* If zero exponent, then the significand is denormalized.
+ * So, take back the understood high significand bit. */
+if( r == 0 )
+ {
+ denorm = 1;
+ yy[M] &= ~0200;
+ }
+r += EXONE - 0177;
+yy[E] = r;
+p = &yy[M+1];
+#ifdef IBMPC
+*p++ = *(--e);
+#endif
+#ifdef DEC
+*p++ = *(--e);
+#endif
+#ifdef MIEEE
+++e;
+*p++ = *e++;
+#endif
+(void )eshift( yy, -8 );
+if( denorm )
+ { /* if zero exponent, then normalize the significand */
+ if( (k = enormlz(yy)) > NBITS )
+ ecleazs(yy);
+ else
+ yy[E] -= (unsigned short )(k-1);
+ }
+emovo( yy, y, ldp );
+}
+
+static void toe24(short unsigned int *x, short unsigned int *y)
+{
+unsigned short i;
+unsigned short *p;
+
+#ifdef NANS
+if( eiisnan(x) )
+ {
+ enan( y, 24 );
+ return;
+ }
+#endif
+p = &x[0];
+#ifdef IBMPC
+y += 1;
+#endif
+#ifdef DEC
+y += 1;
+#endif
+*y = 0; /* output high order */
+if( *p++ )
+ *y = 0x8000; /* output sign bit */
+
+i = *p++;
+if( i >= 255 )
+ { /* Saturate at largest number less than infinity. */
+#ifdef INFINITY
+ *y |= (unsigned short )0x7f80;
+#ifdef IBMPC
+ *(--y) = 0;
+#endif
+#ifdef DEC
+ *(--y) = 0;
+#endif
+#ifdef MIEEE
+ ++y;
+ *y = 0;
+#endif
+#else /* !INFINITY */
+ *y |= (unsigned short )0x7f7f;
+#ifdef IBMPC
+ *(--y) = 0xffff;
+#endif
+#ifdef DEC
+ *(--y) = 0xffff;
+#endif
+#ifdef MIEEE
+ ++y;
+ *y = 0xffff;
+#endif
+#endif /* !INFINITY */
+ return;
+ }
+if( i == 0 )
+ {
+ (void )eshift( x, 7 );
+ }
+else
+ {
+ i <<= 7;
+ (void )eshift( x, 8 );
+ }
+i |= *p++ & (unsigned short )0x7f; /* *p = xi[M] */
+*y |= i; /* high order output already has sign bit set */
+#ifdef IBMPC
+*(--y) = *p;
+#endif
+#ifdef DEC
+*(--y) = *p;
+#endif
+#ifdef MIEEE
+++y;
+*y = *p;
+#endif
+}
+#endif /* LDBL_MANT_DIG == 24 */
+
+/* Compare two e type numbers.
+ *
+ * unsigned short a[NE], b[NE];
+ * ecmp( a, b );
+ *
+ * returns +1 if a > b
+ * 0 if a == b
+ * -1 if a < b
+ * -2 if either a or b is a NaN.
+ */
+static int ecmp(short unsigned int *a, short unsigned int *b)
+{
+unsigned short ai[NI], bi[NI];
+register unsigned short *p, *q;
+register int i;
+int msign;
+
+#ifdef NANS
+if (eisnan (a) || eisnan (b))
+ return( -2 );
+#endif
+emovi( a, ai );
+p = ai;
+emovi( b, bi );
+q = bi;
+
+if( *p != *q )
+ { /* the signs are different */
+/* -0 equals + 0 */
+ for( i=1; i<NI-1; i++ )
+ {
+ if( ai[i] != 0 )
+ goto nzro;
+ if( bi[i] != 0 )
+ goto nzro;
+ }
+ return(0);
+nzro:
+ if( *p == 0 )
+ return( 1 );
+ else
+ return( -1 );
+ }
+/* both are the same sign */
+if( *p == 0 )
+ msign = 1;
+else
+ msign = -1;
+i = NI-1;
+do
+ {
+ if( *p++ != *q++ )
+ {
+ goto diff;
+ }
+ }
+while( --i > 0 );
+
+return(0); /* equality */
+
+
+
+diff:
+
+if( *(--p) > *(--q) )
+ return( msign ); /* p is bigger */
+else
+ return( -msign ); /* p is littler */
+}
+
+
+/*
+; Shift significand
+;
+; Shifts significand area up or down by the number of bits
+; given by the variable sc.
+*/
+static int eshift(short unsigned int *x, int sc)
+{
+unsigned short lost;
+unsigned short *p;
+
+if( sc == 0 )
+ return( 0 );
+
+lost = 0;
+p = x + NI-1;
+
+if( sc < 0 )
+ {
+ sc = -sc;
+ while( sc >= 16 )
+ {
+ lost |= *p; /* remember lost bits */
+ eshdn6(x);
+ sc -= 16;
+ }
+
+ while( sc >= 8 )
+ {
+ lost |= *p & 0xff;
+ eshdn8(x);
+ sc -= 8;
+ }
+
+ while( sc > 0 )
+ {
+ lost |= *p & 1;
+ eshdn1(x);
+ sc -= 1;
+ }
+ }
+else
+ {
+ while( sc >= 16 )
+ {
+ eshup6(x);
+ sc -= 16;
+ }
+
+ while( sc >= 8 )
+ {
+ eshup8(x);
+ sc -= 8;
+ }
+
+ while( sc > 0 )
+ {
+ eshup1(x);
+ sc -= 1;
+ }
+ }
+if( lost )
+ lost = 1;
+return( (int )lost );
+}
+
+
+
+/*
+; normalize
+;
+; Shift normalizes the significand area pointed to by argument
+; shift count (up = positive) is returned.
+*/
+static int enormlz(short unsigned int *x)
+{
+register unsigned short *p;
+int sc;
+
+sc = 0;
+p = &x[M];
+if( *p != 0 )
+ goto normdn;
+++p;
+if( *p & 0x8000 )
+ return( 0 ); /* already normalized */
+while( *p == 0 )
+ {
+ eshup6(x);
+ sc += 16;
+/* With guard word, there are NBITS+16 bits available.
+ * return true if all are zero.
+ */
+ if( sc > NBITS )
+ return( sc );
+ }
+/* see if high byte is zero */
+while( (*p & 0xff00) == 0 )
+ {
+ eshup8(x);
+ sc += 8;
+ }
+/* now shift 1 bit at a time */
+while( (*p & 0x8000) == 0)
+ {
+ eshup1(x);
+ sc += 1;
+ if( sc > (NBITS+16) )
+ {
+ mtherr( "enormlz", UNDERFLOW );
+ return( sc );
+ }
+ }
+return( sc );
+
+/* Normalize by shifting down out of the high guard word
+ of the significand */
+normdn:
+
+if( *p & 0xff00 )
+ {
+ eshdn8(x);
+ sc -= 8;
+ }
+while( *p != 0 )
+ {
+ eshdn1(x);
+ sc -= 1;
+
+ if( sc < -NBITS )
+ {
+ mtherr( "enormlz", OVERFLOW );
+ return( sc );
+ }
+ }
+return( sc );
+}
+
+
+
+
+/* Convert e type number to decimal format ASCII string.
+ * The constants are for 64 bit precision.
+ */
+
+#define NTEN 12
+#define MAXP 4096
+
+#if NE == 10
+static unsigned short etens[NTEN + 1][NE] =
+{
+ {0x6576, 0x4a92, 0x804a, 0x153f,
+ 0xc94c, 0x979a, 0x8a20, 0x5202, 0xc460, 0x7525,}, /* 10**4096 */
+ {0x6a32, 0xce52, 0x329a, 0x28ce,
+ 0xa74d, 0x5de4, 0xc53d, 0x3b5d, 0x9e8b, 0x5a92,}, /* 10**2048 */
+ {0x526c, 0x50ce, 0xf18b, 0x3d28,
+ 0x650d, 0x0c17, 0x8175, 0x7586, 0xc976, 0x4d48,},
+ {0x9c66, 0x58f8, 0xbc50, 0x5c54,
+ 0xcc65, 0x91c6, 0xa60e, 0xa0ae, 0xe319, 0x46a3,},
+ {0x851e, 0xeab7, 0x98fe, 0x901b,
+ 0xddbb, 0xde8d, 0x9df9, 0xebfb, 0xaa7e, 0x4351,},
+ {0x0235, 0x0137, 0x36b1, 0x336c,
+ 0xc66f, 0x8cdf, 0x80e9, 0x47c9, 0x93ba, 0x41a8,},
+ {0x50f8, 0x25fb, 0xc76b, 0x6b71,
+ 0x3cbf, 0xa6d5, 0xffcf, 0x1f49, 0xc278, 0x40d3,},
+ {0x0000, 0x0000, 0x0000, 0x0000,
+ 0xf020, 0xb59d, 0x2b70, 0xada8, 0x9dc5, 0x4069,},
+ {0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0400, 0xc9bf, 0x8e1b, 0x4034,},
+ {0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x2000, 0xbebc, 0x4019,},
+ {0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0x9c40, 0x400c,},
+ {0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0xc800, 0x4005,},
+ {0x0000, 0x0000, 0x0000, 0x0000,
+ 0x0000, 0x0000, 0x0000, 0x0000, 0xa000, 0x4002,}, /* 10**1 */
+};
+
+static unsigned short emtens[NTEN + 1][NE] =
+{
+ {0x2030, 0xcffc, 0xa1c3, 0x8123,
+ 0x2de3, 0x9fde, 0xd2ce, 0x04c8, 0xa6dd, 0x0ad8,}, /* 10**-4096 */
+ {0x8264, 0xd2cb, 0xf2ea, 0x12d4,
+ 0x4925, 0x2de4, 0x3436, 0x534f, 0xceae, 0x256b,}, /* 10**-2048 */
+ {0xf53f, 0xf698, 0x6bd3, 0x0158,
+ 0x87a6, 0xc0bd, 0xda57, 0x82a5, 0xa2a6, 0x32b5,},
+ {0xe731, 0x04d4, 0xe3f2, 0xd332,
+ 0x7132, 0xd21c, 0xdb23, 0xee32, 0x9049, 0x395a,},
+ {0xa23e, 0x5308, 0xfefb, 0x1155,
+ 0xfa91, 0x1939, 0x637a, 0x4325, 0xc031, 0x3cac,},
+ {0xe26d, 0xdbde, 0xd05d, 0xb3f6,
+ 0xac7c, 0xe4a0, 0x64bc, 0x467c, 0xddd0, 0x3e55,},
+ {0x2a20, 0x6224, 0x47b3, 0x98d7,
+ 0x3f23, 0xe9a5, 0xa539, 0xea27, 0xa87f, 0x3f2a,},
+ {0x0b5b, 0x4af2, 0xa581, 0x18ed,
+ 0x67de, 0x94ba, 0x4539, 0x1ead, 0xcfb1, 0x3f94,},
+ {0xbf71, 0xa9b3, 0x7989, 0xbe68,
+ 0x4c2e, 0xe15b, 0xc44d, 0x94be, 0xe695, 0x3fc9,},
+ {0x3d4d, 0x7c3d, 0x36ba, 0x0d2b,
+ 0xfdc2, 0xcefc, 0x8461, 0x7711, 0xabcc, 0x3fe4,},
+ {0xc155, 0xa4a8, 0x404e, 0x6113,
+ 0xd3c3, 0x652b, 0xe219, 0x1758, 0xd1b7, 0x3ff1,},
+ {0xd70a, 0x70a3, 0x0a3d, 0xa3d7,
+ 0x3d70, 0xd70a, 0x70a3, 0x0a3d, 0xa3d7, 0x3ff8,},
+ {0xcccd, 0xcccc, 0xcccc, 0xcccc,
+ 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0xcccc, 0x3ffb,}, /* 10**-1 */
+};
+#else
+static unsigned short etens[NTEN+1][NE] = {
+{0xc94c,0x979a,0x8a20,0x5202,0xc460,0x7525,},/* 10**4096 */
+{0xa74d,0x5de4,0xc53d,0x3b5d,0x9e8b,0x5a92,},/* 10**2048 */
+{0x650d,0x0c17,0x8175,0x7586,0xc976,0x4d48,},
+{0xcc65,0x91c6,0xa60e,0xa0ae,0xe319,0x46a3,},
+{0xddbc,0xde8d,0x9df9,0xebfb,0xaa7e,0x4351,},
+{0xc66f,0x8cdf,0x80e9,0x47c9,0x93ba,0x41a8,},
+{0x3cbf,0xa6d5,0xffcf,0x1f49,0xc278,0x40d3,},
+{0xf020,0xb59d,0x2b70,0xada8,0x9dc5,0x4069,},
+{0x0000,0x0000,0x0400,0xc9bf,0x8e1b,0x4034,},
+{0x0000,0x0000,0x0000,0x2000,0xbebc,0x4019,},
+{0x0000,0x0000,0x0000,0x0000,0x9c40,0x400c,},
+{0x0000,0x0000,0x0000,0x0000,0xc800,0x4005,},
+{0x0000,0x0000,0x0000,0x0000,0xa000,0x4002,}, /* 10**1 */
+};
+
+static unsigned short emtens[NTEN+1][NE] = {
+{0x2de4,0x9fde,0xd2ce,0x04c8,0xa6dd,0x0ad8,}, /* 10**-4096 */
+{0x4925,0x2de4,0x3436,0x534f,0xceae,0x256b,}, /* 10**-2048 */
+{0x87a6,0xc0bd,0xda57,0x82a5,0xa2a6,0x32b5,},
+{0x7133,0xd21c,0xdb23,0xee32,0x9049,0x395a,},
+{0xfa91,0x1939,0x637a,0x4325,0xc031,0x3cac,},
+{0xac7d,0xe4a0,0x64bc,0x467c,0xddd0,0x3e55,},
+{0x3f24,0xe9a5,0xa539,0xea27,0xa87f,0x3f2a,},
+{0x67de,0x94ba,0x4539,0x1ead,0xcfb1,0x3f94,},
+{0x4c2f,0xe15b,0xc44d,0x94be,0xe695,0x3fc9,},
+{0xfdc2,0xcefc,0x8461,0x7711,0xabcc,0x3fe4,},
+{0xd3c3,0x652b,0xe219,0x1758,0xd1b7,0x3ff1,},
+{0x3d71,0xd70a,0x70a3,0x0a3d,0xa3d7,0x3ff8,},
+{0xcccd,0xcccc,0xcccc,0xcccc,0xcccc,0x3ffb,}, /* 10**-1 */
+};
+#endif
+
+
+
+/* ASCII string outputs for unix */
+
+
+#if 0
+void _IO_ldtostr(x, string, ndigs, flags, fmt)
+long double *x;
+char *string;
+int ndigs;
+int flags;
+char fmt;
+{
+unsigned short w[NI];
+char *t, *u;
+LDPARMS rnd;
+LDPARMS *ldp = &rnd;
+
+rnd.rlast = -1;
+rnd.rndprc = NBITS;
+
+if (sizeof(long double) == 16)
+ e113toe( (unsigned short *)x, w, ldp );
+else
+ e64toe( (unsigned short *)x, w, ldp );
+
+etoasc( w, string, ndigs, -1, ldp );
+if( ndigs == 0 && flags == 0 )
+ {
+ /* Delete the decimal point unless alternate format. */
+ t = string;
+ while( *t != '.' )
+ ++t;
+ u = t + 1;
+ while( *t != '\0' )
+ *t++ = *u++;
+ }
+if (*string == ' ')
+ {
+ t = string;
+ u = t + 1;
+ while( *t != '\0' )
+ *t++ = *u++;
+ }
+if (fmt == 'E')
+ {
+ t = string;
+ while( *t != 'e' )
+ ++t;
+ *t = 'E';
+ }
+}
+
+#endif
+
+/* This routine will not return more than NDEC+1 digits. */
+
+char *
+_ldtoa_r (struct _reent *ptr, long double d, int mode, int ndigits, int *decpt,
+ int *sign, char **rve)
+{
+unsigned short e[NI];
+char *s, *p;
+int k;
+LDPARMS rnd;
+LDPARMS *ldp = &rnd;
+char *outstr;
+
+rnd.rlast = -1;
+rnd.rndprc = NBITS;
+
+/* reentrancy addition to use mprec storage pool */
+if (ptr->_result)
+ {
+ ptr->_result->_k = ptr->_result_k;
+ ptr->_result->_maxwds = 1 << ptr->_result_k;
+ Bfree (ptr, ptr->_result);
+ ptr->_result = 0;
+ }
+
+#if LDBL_MANT_DIG == 24
+e24toe( (unsigned short *)&d, e, ldp );
+#elif LDBL_MANT_DIG == 53
+e53toe( (unsigned short *)&d, e, ldp );
+#elif LDBL_MANT_DIG == 64
+e64toe( (unsigned short *)&d, e, ldp );
+#else
+e113toe( (unsigned short *)&d, e, ldp );
+#endif
+
+if( eisneg(e) )
+ *sign = 1;
+else
+ *sign = 0;
+/* Mode 3 is "f" format. */
+if( mode != 3 )
+ ndigits -= 1;
+/* Mode 0 is for %.999 format, which is supposed to give a
+ minimum length string that will convert back to the same binary value.
+ For now, just ask for 20 digits which is enough but sometimes too many. */
+if( mode == 0 )
+ ndigits = 20;
+/* This sanity limit must agree with the corresponding one in etoasc, to
+ keep straight the returned value of outexpon. */
+if( ndigits > NDEC )
+ ndigits = NDEC;
+
+/* reentrancy addition to use mprec storage pool */
+ptr->_result = Balloc (ptr, 3);
+ptr->_result_k = 3;
+outstr = (char *)ptr->_result;
+
+etoasc( e, outstr, ndigits, mode, ldp );
+s = outstr;
+if( eisinf(e) || eisnan(e) )
+ {
+ *decpt = 9999;
+ goto stripspaces;
+ }
+*decpt = ldp->outexpon + 1;
+
+/* Transform the string returned by etoasc into what the caller wants. */
+
+/* Look for decimal point and delete it from the string. */
+s = outstr;
+while( *s != '\0' )
+ {
+ if( *s == '.' )
+ goto yesdecpt;
+ ++s;
+ }
+goto nodecpt;
+
+yesdecpt:
+
+/* Delete the decimal point. */
+while( *s != '\0' )
+ {
+ *s = *(s+1);
+ ++s;
+ }
+
+nodecpt:
+
+/* Back up over the exponent field. */
+while( *s != 'E' && s > outstr)
+ --s;
+*s = '\0';
+
+stripspaces:
+
+/* Strip leading spaces and sign. */
+p = outstr;
+while( *p == ' ' || *p == '-')
+ ++p;
+
+/* Find new end of string. */
+s = outstr;
+while( (*s++ = *p++) != '\0' )
+ ;
+--s;
+
+/* Strip trailing zeros. */
+if( mode == 2 )
+ k = 1;
+else if( ndigits > ldp->outexpon )
+ k = ndigits;
+else
+ k = ldp->outexpon;
+
+while( *(s-1) == '0' && ((s - outstr) > k))
+ *(--s) = '\0';
+
+/* In f format, flush small off-scale values to zero.
+ Rounding has been taken care of by etoasc. */
+if( mode == 3 && ((ndigits + ldp->outexpon) < 0))
+ {
+ s = outstr;
+ *s = '\0';
+ *decpt = 0;
+ }
+
+if( rve )
+ *rve = s;
+return outstr;
+}
+
+static void etoasc(short unsigned int *x, char *string, int ndigits, int outformat, LDPARMS *ldp)
+{
+long digit;
+unsigned short y[NI], t[NI], u[NI], w[NI];
+unsigned short *p, *r, *ten;
+unsigned short sign;
+int i, j, k, expon, rndsav, ndigs;
+char *s, *ss;
+unsigned short m;
+unsigned short *equot = ldp->equot;
+
+ndigs = ndigits;
+rndsav = ldp->rndprc;
+#ifdef NANS
+if( eisnan(x) )
+ {
+ sprintf( string, " NaN " );
+ expon = 9999;
+ goto bxit;
+ }
+#endif
+ldp->rndprc = NBITS; /* set to full precision */
+emov( x, y ); /* retain external format */
+if( y[NE-1] & 0x8000 )
+ {
+ sign = 0xffff;
+ y[NE-1] &= 0x7fff;
+ }
+else
+ {
+ sign = 0;
+ }
+expon = 0;
+ten = &etens[NTEN][0];
+emov( eone, t );
+/* Test for zero exponent */
+if( y[NE-1] == 0 )
+ {
+ for( k=0; k<NE-1; k++ )
+ {
+ if( y[k] != 0 )
+ goto tnzro; /* denormalized number */
+ }
+ goto isone; /* legal all zeros */
+ }
+tnzro:
+
+/* Test for infinity.
+ */
+if( y[NE-1] == 0x7fff )
+ {
+ if( sign )
+ sprintf( string, " -Infinity " );
+ else
+ sprintf( string, " Infinity " );
+ expon = 9999;
+ goto bxit;
+ }
+
+/* Test for exponent nonzero but significand denormalized.
+ * This is an error condition.
+ */
+if( (y[NE-1] != 0) && ((y[NE-2] & 0x8000) == 0) )
+ {
+ mtherr( "etoasc", DOMAIN );
+ sprintf( string, "NaN" );
+ expon = 9999;
+ goto bxit;
+ }
+
+/* Compare to 1.0 */
+i = ecmp( eone, y );
+if( i == 0 )
+ goto isone;
+
+if( i < 0 )
+ { /* Number is greater than 1 */
+/* Convert significand to an integer and strip trailing decimal zeros. */
+ emov( y, u );
+ u[NE-1] = EXONE + NBITS - 1;
+
+ p = &etens[NTEN-4][0];
+ m = 16;
+do
+ {
+ ediv( p, u, t, ldp );
+ efloor( t, w, ldp );
+ for( j=0; j<NE-1; j++ )
+ {
+ if( t[j] != w[j] )
+ goto noint;
+ }
+ emov( t, u );
+ expon += (int )m;
+noint:
+ p += NE;
+ m >>= 1;
+ }
+while( m != 0 );
+
+/* Rescale from integer significand */
+ u[NE-1] += y[NE-1] - (unsigned int )(EXONE + NBITS - 1);
+ emov( u, y );
+/* Find power of 10 */
+ emov( eone, t );
+ m = MAXP;
+ p = &etens[0][0];
+ while( ecmp( ten, u ) <= 0 )
+ {
+ if( ecmp( p, u ) <= 0 )
+ {
+ ediv( p, u, u, ldp );
+ emul( p, t, t, ldp );
+ expon += (int )m;
+ }
+ m >>= 1;
+ if( m == 0 )
+ break;
+ p += NE;
+ }
+ }
+else
+ { /* Number is less than 1.0 */
+/* Pad significand with trailing decimal zeros. */
+ if( y[NE-1] == 0 )
+ {
+ while( (y[NE-2] & 0x8000) == 0 )
+ {
+ emul( ten, y, y, ldp );
+ expon -= 1;
+ }
+ }
+ else
+ {
+ emovi( y, w );
+ for( i=0; i<NDEC+1; i++ )
+ {
+ if( (w[NI-1] & 0x7) != 0 )
+ break;
+/* multiply by 10 */
+ emovz( w, u );
+ eshdn1( u );
+ eshdn1( u );
+ eaddm( w, u );
+ u[1] += 3;
+ while( u[2] != 0 )
+ {
+ eshdn1(u);
+ u[1] += 1;
+ }
+ if( u[NI-1] != 0 )
+ break;
+ if( eone[NE-1] <= u[1] )
+ break;
+ emovz( u, w );
+ expon -= 1;
+ }
+ emovo( w, y, ldp );
+ }
+ k = -MAXP;
+ p = &emtens[0][0];
+ r = &etens[0][0];
+ emov( y, w );
+ emov( eone, t );
+ while( ecmp( eone, w ) > 0 )
+ {
+ if( ecmp( p, w ) >= 0 )
+ {
+ emul( r, w, w, ldp );
+ emul( r, t, t, ldp );
+ expon += k;
+ }
+ k /= 2;
+ if( k == 0 )
+ break;
+ p += NE;
+ r += NE;
+ }
+ ediv( t, eone, t, ldp );
+ }
+isone:
+/* Find the first (leading) digit. */
+emovi( t, w );
+emovz( w, t );
+emovi( y, w );
+emovz( w, y );
+eiremain( t, y, ldp );
+digit = equot[NI-1];
+while( (digit == 0) && (ecmp(y,ezero) != 0) )
+ {
+ eshup1( y );
+ emovz( y, u );
+ eshup1( u );
+ eshup1( u );
+ eaddm( u, y );
+ eiremain( t, y, ldp );
+ digit = equot[NI-1];
+ expon -= 1;
+ }
+s = string;
+if( sign )
+ *s++ = '-';
+else
+ *s++ = ' ';
+/* Examine number of digits requested by caller. */
+if( outformat == 3 )
+ ndigs += expon;
+/*
+else if( ndigs < 0 )
+ ndigs = 0;
+*/
+if( ndigs > NDEC )
+ ndigs = NDEC;
+if( digit == 10 )
+ {
+ *s++ = '1';
+ *s++ = '.';
+ if( ndigs > 0 )
+ {
+ *s++ = '0';
+ ndigs -= 1;
+ }
+ expon += 1;
+ if( ndigs < 0 )
+ {
+ ss = s;
+ goto doexp;
+ }
+ }
+else
+ {
+ *s++ = (char )digit + '0';
+ *s++ = '.';
+ }
+/* Generate digits after the decimal point. */
+for( k=0; k<=ndigs; k++ )
+ {
+/* multiply current number by 10, without normalizing */
+ eshup1( y );
+ emovz( y, u );
+ eshup1( u );
+ eshup1( u );
+ eaddm( u, y );
+ eiremain( t, y, ldp );
+ *s++ = (char )equot[NI-1] + '0';
+ }
+digit = equot[NI-1];
+--s;
+ss = s;
+/* round off the ASCII string */
+if( digit > 4 )
+ {
+/* Test for critical rounding case in ASCII output. */
+ if( digit == 5 )
+ {
+ emovo( y, t, ldp );
+ if( ecmp(t,ezero) != 0 )
+ goto roun; /* round to nearest */
+ if( (*(s-1) & 1) == 0 )
+ goto doexp; /* round to even */
+ }
+/* Round up and propagate carry-outs */
+roun:
+ --s;
+ k = *s & 0x7f;
+/* Carry out to most significant digit? */
+ if( ndigs < 0 )
+ {
+ /* This will print like "1E-6". */
+ *s = '1';
+ expon += 1;
+ goto doexp;
+ }
+ else if( k == '.' )
+ {
+ --s;
+ k = *s;
+ k += 1;
+ *s = (char )k;
+/* Most significant digit carries to 10? */
+ if( k > '9' )
+ {
+ expon += 1;
+ *s = '1';
+ }
+ goto doexp;
+ }
+/* Round up and carry out from less significant digits */
+ k += 1;
+ *s = (char )k;
+ if( k > '9' )
+ {
+ *s = '0';
+ goto roun;
+ }
+ }
+doexp:
+#ifdef __GO32__
+if( expon >= 0 )
+ sprintf( ss, "e+%02d", expon );
+else
+ sprintf( ss, "e-%02d", -expon );
+#else
+ sprintf( ss, "E%d", expon );
+#endif
+bxit:
+ldp->rndprc = rndsav;
+ldp->outexpon = expon;
+}
+
+
+
+
+/*
+; ASCTOQ
+; ASCTOQ.MAC LATEST REV: 11 JAN 84
+; SLM, 3 JAN 78
+;
+; Convert ASCII string to quadruple precision floating point
+;
+; Numeric input is free field decimal number
+; with max of 15 digits with or without
+; decimal point entered as ASCII from teletype.
+; Entering E after the number followed by a second
+; number causes the second number to be interpreted
+; as a power of 10 to be multiplied by the first number
+; (i.e., "scientific" notation).
+;
+; Usage:
+; asctoq( string, q );
+*/
+
+long double _strtold (char *s, char **se)
+{
+ long double x;
+ LDPARMS rnd;
+ LDPARMS *ldp = &rnd;
+ int lenldstr;
+
+ rnd.rlast = -1;
+ rnd.rndprc = NBITS;
+
+ lenldstr = asctoeg( s, (unsigned short *)&x, LDBL_MANT_DIG, ldp );
+ if (se)
+ *se = s + lenldstr;
+ return x;
+}
+
+
+
+static int
+asctoeg(char *ss, short unsigned int *y, int oprec, LDPARMS *ldp)
+{
+unsigned short yy[NI], xt[NI], tt[NI];
+int esign, decflg, sgnflg, nexp, exp, prec, lost;
+int k, trail, c, rndsav;
+long lexp;
+unsigned short nsign, *p;
+char *sp, *s, *lstr;
+int lenldstr;
+
+/* Copy the input string. */
+c = strlen (ss) + 2;
+lstr = (char *) alloca (c);
+s = ss;
+lenldstr = 0;
+while( *s == ' ' ) /* skip leading spaces */
+ {
+ ++s;
+ ++lenldstr;
+ }
+sp = lstr;
+for( k=0; k<c; k++ )
+ {
+ if( (*sp++ = *s++) == '\0' )
+ break;
+ }
+*sp = '\0';
+s = lstr;
+
+rndsav = ldp->rndprc;
+ldp->rndprc = NBITS; /* Set to full precision */
+lost = 0;
+nsign = 0;
+decflg = 0;
+sgnflg = 0;
+nexp = 0;
+exp = 0;
+prec = 0;
+ecleaz( yy );
+trail = 0;
+
+nxtcom:
+k = *s - '0';
+if( (k >= 0) && (k <= 9) )
+ {
+/* Ignore leading zeros */
+ if( (prec == 0) && (decflg == 0) && (k == 0) )
+ goto donchr;
+/* Identify and strip trailing zeros after the decimal point. */
+ if( (trail == 0) && (decflg != 0) )
+ {
+ sp = s;
+ while( (*sp >= '0') && (*sp <= '9') )
+ ++sp;
+/* Check for syntax error */
+ c = *sp & 0x7f;
+ if( (c != 'e') && (c != 'E') && (c != '\0')
+ && (c != '\n') && (c != '\r') && (c != ' ')
+ && (c != ',') )
+ goto error;
+ --sp;
+ while( *sp == '0' )
+ *sp-- = 'z';
+ trail = 1;
+ if( *s == 'z' )
+ goto donchr;
+ }
+/* If enough digits were given to more than fill up the yy register,
+ * continuing until overflow into the high guard word yy[2]
+ * guarantees that there will be a roundoff bit at the top
+ * of the low guard word after normalization.
+ */
+ if( yy[2] == 0 )
+ {
+ if( decflg )
+ nexp += 1; /* count digits after decimal point */
+ eshup1( yy ); /* multiply current number by 10 */
+ emovz( yy, xt );
+ eshup1( xt );
+ eshup1( xt );
+ eaddm( xt, yy );
+ ecleaz( xt );
+ xt[NI-2] = (unsigned short )k;
+ eaddm( xt, yy );
+ }
+ else
+ {
+ /* Mark any lost non-zero digit. */
+ lost |= k;
+ /* Count lost digits before the decimal point. */
+ if (decflg == 0)
+ nexp -= 1;
+ }
+ prec += 1;
+ goto donchr;
+ }
+
+switch( *s )
+ {
+ case 'z':
+ break;
+ case 'E':
+ case 'e':
+ goto expnt;
+ case '.': /* decimal point */
+ if( decflg )
+ goto error;
+ ++decflg;
+ break;
+ case '-':
+ nsign = 0xffff;
+ if( sgnflg )
+ goto error;
+ ++sgnflg;
+ break;
+ case '+':
+ if( sgnflg )
+ goto error;
+ ++sgnflg;
+ break;
+ case ',':
+ case ' ':
+ case '\0':
+ case '\n':
+ case '\r':
+ goto daldone;
+ case 'i':
+ case 'I':
+ goto infinite;
+ default:
+ error:
+#ifdef NANS
+ enan( yy, NI*16 );
+#else
+ mtherr( "asctoe", DOMAIN );
+ ecleaz(yy);
+#endif
+ goto aexit;
+ }
+donchr:
+++s;
+goto nxtcom;
+
+/* Exponent interpretation */
+expnt:
+
+esign = 1;
+exp = 0;
+++s;
+/* check for + or - */
+if( *s == '-' )
+ {
+ esign = -1;
+ ++s;
+ }
+if( *s == '+' )
+ ++s;
+while( (*s >= '0') && (*s <= '9') )
+ {
+ exp *= 10;
+ exp += *s++ - '0';
+ if (exp > 4977)
+ {
+ if (esign < 0)
+ goto zero;
+ else
+ goto infinite;
+ }
+ }
+if( esign < 0 )
+ exp = -exp;
+if( exp > 4932 )
+ {
+infinite:
+ ecleaz(yy);
+ yy[E] = 0x7fff; /* infinity */
+ goto aexit;
+ }
+if( exp < -4977 )
+ {
+zero:
+ ecleaz(yy);
+ goto aexit;
+ }
+
+daldone:
+nexp = exp - nexp;
+/* Pad trailing zeros to minimize power of 10, per IEEE spec. */
+while( (nexp > 0) && (yy[2] == 0) )
+ {
+ emovz( yy, xt );
+ eshup1( xt );
+ eshup1( xt );
+ eaddm( yy, xt );
+ eshup1( xt );
+ if( xt[2] != 0 )
+ break;
+ nexp -= 1;
+ emovz( xt, yy );
+ }
+if( (k = enormlz(yy)) > NBITS )
+ {
+ ecleaz(yy);
+ goto aexit;
+ }
+lexp = (EXONE - 1 + NBITS) - k;
+emdnorm( yy, lost, 0, lexp, 64, ldp );
+/* convert to external format */
+
+
+/* Multiply by 10**nexp. If precision is 64 bits,
+ * the maximum relative error incurred in forming 10**n
+ * for 0 <= n <= 324 is 8.2e-20, at 10**180.
+ * For 0 <= n <= 999, the peak relative error is 1.4e-19 at 10**947.
+ * For 0 >= n >= -999, it is -1.55e-19 at 10**-435.
+ */
+lexp = yy[E];
+if( nexp == 0 )
+ {
+ k = 0;
+ goto expdon;
+ }
+esign = 1;
+if( nexp < 0 )
+ {
+ nexp = -nexp;
+ esign = -1;
+ if( nexp > 4096 )
+ { /* Punt. Can't handle this without 2 divides. */
+ emovi( etens[0], tt );
+ lexp -= tt[E];
+ k = edivm( tt, yy, ldp );
+ lexp += EXONE;
+ nexp -= 4096;
+ }
+ }
+p = &etens[NTEN][0];
+emov( eone, xt );
+exp = 1;
+do
+ {
+ if( exp & nexp )
+ emul( p, xt, xt, ldp );
+ p -= NE;
+ exp = exp + exp;
+ }
+while( exp <= MAXP );
+
+emovi( xt, tt );
+if( esign < 0 )
+ {
+ lexp -= tt[E];
+ k = edivm( tt, yy, ldp );
+ lexp += EXONE;
+ }
+else
+ {
+ lexp += tt[E];
+ k = emulm( tt, yy, ldp );
+ lexp -= EXONE - 1;
+ }
+
+expdon:
+
+/* Round and convert directly to the destination type */
+if( oprec == 53 )
+ lexp -= EXONE - 0x3ff;
+else if( oprec == 24 )
+ lexp -= EXONE - 0177;
+#ifdef DEC
+else if( oprec == 56 )
+ lexp -= EXONE - 0201;
+#endif
+ldp->rndprc = oprec;
+emdnorm( yy, k, 0, lexp, 64, ldp );
+
+aexit:
+
+ldp->rndprc = rndsav;
+yy[0] = nsign;
+switch( oprec )
+ {
+#ifdef DEC
+ case 56:
+ todec( yy, y ); /* see etodec.c */
+ break;
+#endif
+#if LDBL_MANT_DIG == 53
+ case 53:
+ toe53( yy, y );
+ break;
+#elif LDBL_MANT_DIG == 24
+ case 24:
+ toe24( yy, y );
+ break;
+#elif LDBL_MANT_DIG == 64
+ case 64:
+ toe64( yy, y );
+ break;
+#elif LDBL_MANT_DIG == 113
+ case 113:
+ toe113( yy, y );
+ break;
+#else
+ case NBITS:
+ emovo( yy, y, ldp );
+ break;
+#endif
+ }
+lenldstr += s - lstr;
+return lenldstr;
+}
+
+
+
+/* y = largest integer not greater than x
+ * (truncated toward minus infinity)
+ *
+ * unsigned short x[NE], y[NE]
+ * LDPARMS *ldp
+ *
+ * efloor( x, y, ldp );
+ */
+static unsigned short bmask[] = {
+0xffff,
+0xfffe,
+0xfffc,
+0xfff8,
+0xfff0,
+0xffe0,
+0xffc0,
+0xff80,
+0xff00,
+0xfe00,
+0xfc00,
+0xf800,
+0xf000,
+0xe000,
+0xc000,
+0x8000,
+0x0000,
+};
+
+static void efloor(short unsigned int *x, short unsigned int *y, LDPARMS *ldp)
+{
+register unsigned short *p;
+int e, expon, i;
+unsigned short f[NE];
+
+emov( x, f ); /* leave in external format */
+expon = (int )f[NE-1];
+e = (expon & 0x7fff) - (EXONE - 1);
+if( e <= 0 )
+ {
+ eclear(y);
+ goto isitneg;
+ }
+/* number of bits to clear out */
+e = NBITS - e;
+emov( f, y );
+if( e <= 0 )
+ return;
+
+p = &y[0];
+while( e >= 16 )
+ {
+ *p++ = 0;
+ e -= 16;
+ }
+/* clear the remaining bits */
+*p &= bmask[e];
+/* truncate negatives toward minus infinity */
+isitneg:
+
+if( (unsigned short )expon & (unsigned short )0x8000 )
+ {
+ for( i=0; i<NE-1; i++ )
+ {
+ if( f[i] != y[i] )
+ {
+ esub( eone, y, y, ldp );
+ break;
+ }
+ }
+ }
+}
+
+
+
+static void eiremain(short unsigned int *den, short unsigned int *num, LDPARMS *ldp)
+{
+long ld, ln;
+unsigned short j;
+ unsigned short *equot = ldp->equot;
+
+ld = den[E];
+ld -= enormlz( den );
+ln = num[E];
+ln -= enormlz( num );
+ecleaz( equot );
+while( ln >= ld )
+ {
+ if( ecmpm(den,num) <= 0 )
+ {
+ esubm(den, num);
+ j = 1;
+ }
+ else
+ {
+ j = 0;
+ }
+ eshup1(equot);
+ equot[NI-1] |= j;
+ eshup1(num);
+ ln -= 1;
+ }
+emdnorm( num, 0, 0, ln, 0, ldp );
+}
+
+/* NaN bit patterns
+ */
+#ifdef MIEEE
+static unsigned short nan113[8] = {
+ 0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff};
+static unsigned short nan64[6] = {0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff};
+static unsigned short nan53[4] = {0x7fff, 0xffff, 0xffff, 0xffff};
+static unsigned short nan24[2] = {0x7fff, 0xffff};
+#else /* !MIEEE */
+static unsigned short nan113[8] = {0, 0, 0, 0, 0, 0, 0x8000, 0x7fff};
+static unsigned short nan64[6] = {0, 0, 0, 0, 0xc000, 0x7fff};
+static unsigned short nan53[4] = {0, 0, 0, 0x7ff8};
+static unsigned short nan24[2] = {0, 0x7fc0};
+#endif /* !MIEEE */
+
+
+static void enan (short unsigned int *nan, int size)
+{
+int i, n;
+unsigned short *p;
+
+switch( size )
+ {
+#ifndef DEC
+ case 113:
+ n = 8;
+ p = nan113;
+ break;
+
+ case 64:
+ n = 6;
+ p = nan64;
+ break;
+
+ case 53:
+ n = 4;
+ p = nan53;
+ break;
+
+ case 24:
+ n = 2;
+ p = nan24;
+ break;
+
+ case NBITS:
+ for( i=0; i<NE-2; i++ )
+ *nan++ = 0;
+ *nan++ = 0xc000;
+ *nan++ = 0x7fff;
+ return;
+
+ case NI*16:
+ *nan++ = 0;
+ *nan++ = 0x7fff;
+ *nan++ = 0;
+ *nan++ = 0xc000;
+ for( i=4; i<NI; i++ )
+ *nan++ = 0;
+ return;
+#endif
+ default:
+ mtherr( "enan", DOMAIN );
+ return;
+ }
+for (i=0; i < n; i++)
+ *nan++ = *p++;
+}
+
+
+
+
|