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/* real.c - implementation of REAL_ARITHMETIC, REAL_VALUE_ATOF,
and support for XFmode IEEE extended real floating point arithmetic.
Copyright (C) 1993, 1994, 1995, 1996, 1997, 1998,
1999, 2000 Free Software Foundation, Inc.
Contributed by Stephen L. Moshier (moshier@world.std.com).
This file is part of GCC.
GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 2, or (at your option) any later
version.
GCC 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 General Public License
along with GCC; see the file COPYING. If not, write to the Free
Software Foundation, 59 Temple Place - Suite 330, Boston, MA
02111-1307, USA. */
#include "config.h"
#include "system.h"
#include "tree.h"
#include "toplev.h"
#include "tm_p.h"
/* To enable support of XFmode extended real floating point, define
LONG_DOUBLE_TYPE_SIZE 96 in the tm.h file (m68k.h or i386.h).
To support cross compilation between IEEE, VAX and IBM floating
point formats, define REAL_ARITHMETIC in the tm.h file.
In either case the machine files (tm.h) must not contain any code
that tries to use host floating point arithmetic to convert
REAL_VALUE_TYPEs from `double' to `float', pass them to fprintf,
etc. In cross-compile situations a REAL_VALUE_TYPE may not
be intelligible to the host computer's native arithmetic.
The emulator defaults to the host's floating point format so that
its decimal conversion functions can be used if desired (see
real.h).
The first part of this file interfaces gcc to a floating point
arithmetic suite that was not written with gcc in mind. Avoid
changing the low-level arithmetic routines unless you have suitable
test programs available. A special version of the PARANOIA floating
point arithmetic tester, modified for this purpose, can be found on
usc.edu: /pub/C-numanal/ieeetest.zoo. Other tests, and libraries of
XFmode and TFmode transcendental functions, can be obtained by ftp from
netlib.att.com: netlib/cephes. */
/* Type of computer arithmetic.
Only one of DEC, IBM, IEEE, C4X, or UNK should get defined.
`IEEE', when REAL_WORDS_BIG_ENDIAN is non-zero, refers generically
to big-endian IEEE floating-point data structure. This definition
should work in SFmode `float' type and DFmode `double' type on
virtually all big-endian IEEE machines. If LONG_DOUBLE_TYPE_SIZE
has been defined to be 96, then IEEE also invokes the particular
XFmode (`long double' type) data structure used by the Motorola
680x0 series processors.
`IEEE', when REAL_WORDS_BIG_ENDIAN is zero, refers generally to
little-endian IEEE machines. In this case, if LONG_DOUBLE_TYPE_SIZE
has been defined to be 96, then IEEE also invokes the particular
XFmode `long double' data structure used by the Intel 80x86 series
processors.
`DEC' refers specifically to the Digital Equipment Corp PDP-11
and VAX floating point data structure. This model currently
supports no type wider than DFmode.
`IBM' refers specifically to the IBM System/370 and compatible
floating point data structure. This model currently supports
no type wider than DFmode. The IBM conversions were contributed by
frank@atom.ansto.gov.au (Frank Crawford).
`C4X' refers specifically to the floating point format used on
Texas Instruments TMS320C3x and TMS320C4x digital signal
processors. This supports QFmode (32-bit float, double) and HFmode
(40-bit long double) where BITS_PER_BYTE is 32. Unlike IEEE
floats, C4x floats are not rounded to be even. The C4x conversions
were contributed by m.hayes@elec.canterbury.ac.nz (Michael Hayes) and
Haj.Ten.Brugge@net.HCC.nl (Herman ten Brugge).
If LONG_DOUBLE_TYPE_SIZE = 64 (the default, unless tm.h defines it)
then `long double' and `double' are both implemented, but they
both mean DFmode. In this case, the software floating-point
support available here is activated by writing
#define REAL_ARITHMETIC
in tm.h.
The case LONG_DOUBLE_TYPE_SIZE = 128 activates TFmode support
and may deactivate XFmode since `long double' is used to refer
to both modes. Defining INTEL_EXTENDED_IEEE_FORMAT to non-zero
at the same time enables 80387-style 80-bit floats in a 128-bit
padded image, as seen on IA-64.
The macros FLOAT_WORDS_BIG_ENDIAN, HOST_FLOAT_WORDS_BIG_ENDIAN,
contributed by Richard Earnshaw <Richard.Earnshaw@cl.cam.ac.uk>,
separate the floating point unit's endian-ness from that of
the integer addressing. This permits one to define a big-endian
FPU on a little-endian machine (e.g., ARM). An extension to
BYTES_BIG_ENDIAN may be required for some machines in the future.
These optional macros may be defined in tm.h. In real.h, they
default to WORDS_BIG_ENDIAN, etc., so there is no need to define
them for any normal host or target machine on which the floats
and the integers have the same endian-ness. */
/* The following converts gcc macros into the ones used by this file. */
/* REAL_ARITHMETIC defined means that macros in real.h are
defined to call emulator functions. */
#ifdef REAL_ARITHMETIC
#if TARGET_FLOAT_FORMAT == VAX_FLOAT_FORMAT
/* PDP-11, Pro350, VAX: */
#define DEC 1
#else /* it's not VAX */
#if TARGET_FLOAT_FORMAT == IBM_FLOAT_FORMAT
/* IBM System/370 style */
#define IBM 1
#else /* it's also not an IBM */
#if TARGET_FLOAT_FORMAT == C4X_FLOAT_FORMAT
/* TMS320C3x/C4x style */
#define C4X 1
#else /* it's also not a C4X */
#if TARGET_FLOAT_FORMAT == IEEE_FLOAT_FORMAT
#define IEEE
#else /* it's not IEEE either */
/* UNKnown arithmetic. We don't support this and can't go on. */
unknown arithmetic type
#define UNK 1
#endif /* not IEEE */
#endif /* not C4X */
#endif /* not IBM */
#endif /* not VAX */
#define REAL_WORDS_BIG_ENDIAN FLOAT_WORDS_BIG_ENDIAN
#else
/* REAL_ARITHMETIC not defined means that the *host's* data
structure will be used. It may differ by endian-ness from the
target machine's structure and will get its ends swapped
accordingly (but not here). Probably only the decimal <-> binary
functions in this file will actually be used in this case. */
#if HOST_FLOAT_FORMAT == VAX_FLOAT_FORMAT
#define DEC 1
#else /* it's not VAX */
#if HOST_FLOAT_FORMAT == IBM_FLOAT_FORMAT
/* IBM System/370 style */
#define IBM 1
#else /* it's also not an IBM */
#if HOST_FLOAT_FORMAT == IEEE_FLOAT_FORMAT
#define IEEE
#else /* it's not IEEE either */
unknown arithmetic type
#define UNK 1
#endif /* not IEEE */
#endif /* not IBM */
#endif /* not VAX */
#define REAL_WORDS_BIG_ENDIAN HOST_FLOAT_WORDS_BIG_ENDIAN
#endif /* REAL_ARITHMETIC not defined */
/* Define INFINITY for support of infinity.
Define NANS for support of Not-a-Number's (NaN's). */
#if !defined(DEC) && !defined(IBM) && !defined(C4X)
#define INFINITY
#define NANS
#endif
/* Support of NaNs requires support of infinity. */
#ifdef NANS
#ifndef INFINITY
#define INFINITY
#endif
#endif
/* Find a host integer type that is at least 16 bits wide,
and another type at least twice whatever that size is. */
#if HOST_BITS_PER_CHAR >= 16
#define EMUSHORT char
#define EMUSHORT_SIZE HOST_BITS_PER_CHAR
#define EMULONG_SIZE (2 * HOST_BITS_PER_CHAR)
#else
#if HOST_BITS_PER_SHORT >= 16
#define EMUSHORT short
#define EMUSHORT_SIZE HOST_BITS_PER_SHORT
#define EMULONG_SIZE (2 * HOST_BITS_PER_SHORT)
#else
#if HOST_BITS_PER_INT >= 16
#define EMUSHORT int
#define EMUSHORT_SIZE HOST_BITS_PER_INT
#define EMULONG_SIZE (2 * HOST_BITS_PER_INT)
#else
#if HOST_BITS_PER_LONG >= 16
#define EMUSHORT long
#define EMUSHORT_SIZE HOST_BITS_PER_LONG
#define EMULONG_SIZE (2 * HOST_BITS_PER_LONG)
#else
/* You will have to modify this program to have a smaller unit size. */
#define EMU_NON_COMPILE
#endif
#endif
#endif
#endif
/* If no 16-bit type has been found and the compiler is GCC, try HImode. */
#if defined(__GNUC__) && EMUSHORT_SIZE != 16
typedef int HItype __attribute__ ((mode (HI)));
typedef unsigned int UHItype __attribute__ ((mode (HI)));
#undef EMUSHORT
#undef EMUSHORT_SIZE
#undef EMULONG_SIZE
#define EMUSHORT HItype
#define UEMUSHORT UHItype
#define EMUSHORT_SIZE 16
#define EMULONG_SIZE 32
#else
#define UEMUSHORT unsigned EMUSHORT
#endif
#if HOST_BITS_PER_SHORT >= EMULONG_SIZE
#define EMULONG short
#else
#if HOST_BITS_PER_INT >= EMULONG_SIZE
#define EMULONG int
#else
#if HOST_BITS_PER_LONG >= EMULONG_SIZE
#define EMULONG long
#else
#if HOST_BITS_PER_LONGLONG >= EMULONG_SIZE
#define EMULONG long long int
#else
/* You will have to modify this program to have a smaller unit size. */
#define EMU_NON_COMPILE
#endif
#endif
#endif
#endif
/* The host interface doesn't work if no 16-bit size exists. */
#if EMUSHORT_SIZE != 16
#define EMU_NON_COMPILE
#endif
/* OK to continue compilation. */
#ifndef EMU_NON_COMPILE
/* Construct macros to translate between REAL_VALUE_TYPE and e type.
In GET_REAL and PUT_REAL, r and e are pointers.
A REAL_VALUE_TYPE is guaranteed to occupy contiguous locations
in memory, with no holes. */
#if MAX_LONG_DOUBLE_TYPE_SIZE == 96 || \
((INTEL_EXTENDED_IEEE_FORMAT != 0) && MAX_LONG_DOUBLE_TYPE_SIZE == 128)
/* Number of 16 bit words in external e type format */
# define NE 6
# define MAXDECEXP 4932
# define MINDECEXP -4956
# define GET_REAL(r,e) memcpy ((char *)(e), (char *)(r), 2*NE)
# define PUT_REAL(e,r) \
do { \
memcpy ((char *)(r), (char *)(e), 2*NE); \
if (2*NE < sizeof(*r)) \
memset ((char *)(r) + 2*NE, 0, sizeof(*r) - 2*NE); \
} while (0)
# else /* no XFmode */
# if MAX_LONG_DOUBLE_TYPE_SIZE == 128
# define NE 10
# define MAXDECEXP 4932
# define MINDECEXP -4977
# define GET_REAL(r,e) memcpy ((char *)(e), (char *)(r), 2*NE)
# define PUT_REAL(e,r) \
do { \
memcpy ((char *)(r), (char *)(e), 2*NE); \
if (2*NE < sizeof(*r)) \
memset ((char *)(r) + 2*NE, 0, sizeof(*r) - 2*NE); \
} while (0)
#else
#define NE 6
#define MAXDECEXP 4932
#define MINDECEXP -4956
#ifdef REAL_ARITHMETIC
/* Emulator uses target format internally
but host stores it in host endian-ness. */
#define GET_REAL(r,e) \
do { \
if (HOST_FLOAT_WORDS_BIG_ENDIAN == REAL_WORDS_BIG_ENDIAN) \
e53toe ((UEMUSHORT *) (r), (e)); \
else \
{ \
UEMUSHORT w[4]; \
memcpy (&w[3], ((EMUSHORT *) r), sizeof (EMUSHORT)); \
memcpy (&w[2], ((EMUSHORT *) r) + 1, sizeof (EMUSHORT)); \
memcpy (&w[1], ((EMUSHORT *) r) + 2, sizeof (EMUSHORT)); \
memcpy (&w[0], ((EMUSHORT *) r) + 3, sizeof (EMUSHORT)); \
e53toe (w, (e)); \
} \
} while (0)
#define PUT_REAL(e,r) \
do { \
if (HOST_FLOAT_WORDS_BIG_ENDIAN == REAL_WORDS_BIG_ENDIAN) \
etoe53 ((e), (UEMUSHORT *) (r)); \
else \
{ \
UEMUSHORT w[4]; \
etoe53 ((e), w); \
memcpy (((EMUSHORT *) r), &w[3], sizeof (EMUSHORT)); \
memcpy (((EMUSHORT *) r) + 1, &w[2], sizeof (EMUSHORT)); \
memcpy (((EMUSHORT *) r) + 2, &w[1], sizeof (EMUSHORT)); \
memcpy (((EMUSHORT *) r) + 3, &w[0], sizeof (EMUSHORT)); \
} \
} while (0)
#else /* not REAL_ARITHMETIC */
/* emulator uses host format */
#define GET_REAL(r,e) e53toe ((UEMUSHORT *) (r), (e))
#define PUT_REAL(e,r) etoe53 ((e), (UEMUSHORT *) (r))
#endif /* not REAL_ARITHMETIC */
#endif /* not TFmode */
#endif /* not XFmode */
/* 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)
#if defined(HOST_EBCDIC)
/* bit 8 is significant in EBCDIC */
#define CHARMASK 0xff
#else
#define CHARMASK 0x7f
#endif
extern int extra_warnings;
extern UEMUSHORT ezero[], ehalf[], eone[], etwo[];
extern UEMUSHORT elog2[], esqrt2[];
static void endian PARAMS ((UEMUSHORT *, long *,
enum machine_mode));
static void eclear PARAMS ((UEMUSHORT *));
static void emov PARAMS ((UEMUSHORT *, UEMUSHORT *));
#if 0
static void eabs PARAMS ((UEMUSHORT *));
#endif
static void eneg PARAMS ((UEMUSHORT *));
static int eisneg PARAMS ((UEMUSHORT *));
static int eisinf PARAMS ((UEMUSHORT *));
static int eisnan PARAMS ((UEMUSHORT *));
static void einfin PARAMS ((UEMUSHORT *));
#ifdef NANS
static void enan PARAMS ((UEMUSHORT *, int));
static void einan PARAMS ((UEMUSHORT *));
static int eiisnan PARAMS ((UEMUSHORT *));
static int eiisneg PARAMS ((UEMUSHORT *));
static void make_nan PARAMS ((UEMUSHORT *, int, enum machine_mode));
#endif
static void emovi PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void emovo PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void ecleaz PARAMS ((UEMUSHORT *));
static void ecleazs PARAMS ((UEMUSHORT *));
static void emovz PARAMS ((UEMUSHORT *, UEMUSHORT *));
#if 0
static void eiinfin PARAMS ((UEMUSHORT *));
#endif
#ifdef INFINITY
static int eiisinf PARAMS ((UEMUSHORT *));
#endif
static int ecmpm PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void eshdn1 PARAMS ((UEMUSHORT *));
static void eshup1 PARAMS ((UEMUSHORT *));
static void eshdn8 PARAMS ((UEMUSHORT *));
static void eshup8 PARAMS ((UEMUSHORT *));
static void eshup6 PARAMS ((UEMUSHORT *));
static void eshdn6 PARAMS ((UEMUSHORT *));
static void eaddm PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void esubm PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void m16m PARAMS ((unsigned int, UEMUSHORT *, UEMUSHORT *));
static int edivm PARAMS ((UEMUSHORT *, UEMUSHORT *));
static int emulm PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void emdnorm PARAMS ((UEMUSHORT *, int, int, EMULONG, int));
static void esub PARAMS ((UEMUSHORT *, UEMUSHORT *,
UEMUSHORT *));
static void eadd PARAMS ((UEMUSHORT *, UEMUSHORT *,
UEMUSHORT *));
static void eadd1 PARAMS ((UEMUSHORT *, UEMUSHORT *,
UEMUSHORT *));
static void ediv PARAMS ((UEMUSHORT *, UEMUSHORT *,
UEMUSHORT *));
static void emul PARAMS ((UEMUSHORT *, UEMUSHORT *,
UEMUSHORT *));
static void e53toe PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void e64toe PARAMS ((UEMUSHORT *, UEMUSHORT *));
#if (INTEL_EXTENDED_IEEE_FORMAT == 0)
static void e113toe PARAMS ((UEMUSHORT *, UEMUSHORT *));
#endif
static void e24toe PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void etoe113 PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void toe113 PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void etoe64 PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void toe64 PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void etoe53 PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void toe53 PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void etoe24 PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void toe24 PARAMS ((UEMUSHORT *, UEMUSHORT *));
static int ecmp PARAMS ((UEMUSHORT *, UEMUSHORT *));
#if 0
static void eround PARAMS ((UEMUSHORT *, UEMUSHORT *));
#endif
static void ltoe PARAMS ((HOST_WIDE_INT *, UEMUSHORT *));
static void ultoe PARAMS ((unsigned HOST_WIDE_INT *, UEMUSHORT *));
static void eifrac PARAMS ((UEMUSHORT *, HOST_WIDE_INT *,
UEMUSHORT *));
static void euifrac PARAMS ((UEMUSHORT *, unsigned HOST_WIDE_INT *,
UEMUSHORT *));
static int eshift PARAMS ((UEMUSHORT *, int));
static int enormlz PARAMS ((UEMUSHORT *));
#if 0
static void e24toasc PARAMS ((UEMUSHORT *, char *, int));
static void e53toasc PARAMS ((UEMUSHORT *, char *, int));
static void e64toasc PARAMS ((UEMUSHORT *, char *, int));
static void e113toasc PARAMS ((UEMUSHORT *, char *, int));
#endif /* 0 */
static void etoasc PARAMS ((UEMUSHORT *, char *, int));
static void asctoe24 PARAMS ((const char *, UEMUSHORT *));
static void asctoe53 PARAMS ((const char *, UEMUSHORT *));
static void asctoe64 PARAMS ((const char *, UEMUSHORT *));
#if (INTEL_EXTENDED_IEEE_FORMAT == 0)
static void asctoe113 PARAMS ((const char *, UEMUSHORT *));
#endif
static void asctoe PARAMS ((const char *, UEMUSHORT *));
static void asctoeg PARAMS ((const char *, UEMUSHORT *, int));
static void efloor PARAMS ((UEMUSHORT *, UEMUSHORT *));
#if 0
static void efrexp PARAMS ((UEMUSHORT *, int *,
UEMUSHORT *));
#endif
static void eldexp PARAMS ((UEMUSHORT *, int, UEMUSHORT *));
#if 0
static void eremain PARAMS ((UEMUSHORT *, UEMUSHORT *,
UEMUSHORT *));
#endif
static void eiremain PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void mtherr PARAMS ((const char *, int));
#ifdef DEC
static void dectoe PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void etodec PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void todec PARAMS ((UEMUSHORT *, UEMUSHORT *));
#endif
#ifdef IBM
static void ibmtoe PARAMS ((UEMUSHORT *, UEMUSHORT *,
enum machine_mode));
static void etoibm PARAMS ((UEMUSHORT *, UEMUSHORT *,
enum machine_mode));
static void toibm PARAMS ((UEMUSHORT *, UEMUSHORT *,
enum machine_mode));
#endif
#ifdef C4X
static void c4xtoe PARAMS ((UEMUSHORT *, UEMUSHORT *,
enum machine_mode));
static void etoc4x PARAMS ((UEMUSHORT *, UEMUSHORT *,
enum machine_mode));
static void toc4x PARAMS ((UEMUSHORT *, UEMUSHORT *,
enum machine_mode));
#endif
#if 0
static void uditoe PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void ditoe PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void etoudi PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void etodi PARAMS ((UEMUSHORT *, UEMUSHORT *));
static void esqrt PARAMS ((UEMUSHORT *, UEMUSHORT *));
#endif
/* Copy 32-bit numbers obtained from array containing 16-bit numbers,
swapping ends if required, into output array of longs. The
result is normally passed to fprintf by the ASM_OUTPUT_ macros. */
static void
endian (e, x, mode)
UEMUSHORT e[];
long x[];
enum machine_mode mode;
{
unsigned long th, t;
if (REAL_WORDS_BIG_ENDIAN)
{
switch (mode)
{
case TFmode:
#if (INTEL_EXTENDED_IEEE_FORMAT == 0)
/* Swap halfwords in the fourth long. */
th = (unsigned long) e[6] & 0xffff;
t = (unsigned long) e[7] & 0xffff;
t |= th << 16;
x[3] = (long) t;
#endif
case XFmode:
/* Swap halfwords in the third long. */
th = (unsigned long) e[4] & 0xffff;
t = (unsigned long) e[5] & 0xffff;
t |= th << 16;
x[2] = (long) t;
/* fall into the double case */
case DFmode:
/* Swap halfwords in the second word. */
th = (unsigned long) e[2] & 0xffff;
t = (unsigned long) e[3] & 0xffff;
t |= th << 16;
x[1] = (long) t;
/* fall into the float case */
case SFmode:
case HFmode:
/* Swap halfwords in the first word. */
th = (unsigned long) e[0] & 0xffff;
t = (unsigned long) e[1] & 0xffff;
t |= th << 16;
x[0] = (long) t;
break;
default:
abort ();
}
}
else
{
/* Pack the output array without swapping. */
switch (mode)
{
case TFmode:
#if (INTEL_EXTENDED_IEEE_FORMAT == 0)
/* Pack the fourth long. */
th = (unsigned long) e[7] & 0xffff;
t = (unsigned long) e[6] & 0xffff;
t |= th << 16;
x[3] = (long) t;
#endif
case XFmode:
/* Pack the third long.
Each element of the input REAL_VALUE_TYPE array has 16 useful bits
in it. */
th = (unsigned long) e[5] & 0xffff;
t = (unsigned long) e[4] & 0xffff;
t |= th << 16;
x[2] = (long) t;
/* fall into the double case */
case DFmode:
/* Pack the second long */
th = (unsigned long) e[3] & 0xffff;
t = (unsigned long) e[2] & 0xffff;
t |= th << 16;
x[1] = (long) t;
/* fall into the float case */
case SFmode:
case HFmode:
/* Pack the first long */
th = (unsigned long) e[1] & 0xffff;
t = (unsigned long) e[0] & 0xffff;
t |= th << 16;
x[0] = (long) t;
break;
default:
abort ();
}
}
}
/* This is the implementation of the REAL_ARITHMETIC macro. */
void
earith (value, icode, r1, r2)
REAL_VALUE_TYPE *value;
int icode;
REAL_VALUE_TYPE *r1;
REAL_VALUE_TYPE *r2;
{
UEMUSHORT d1[NE], d2[NE], v[NE];
enum tree_code code;
GET_REAL (r1, d1);
GET_REAL (r2, d2);
#ifdef NANS
/* Return NaN input back to the caller. */
if (eisnan (d1))
{
PUT_REAL (d1, value);
return;
}
if (eisnan (d2))
{
PUT_REAL (d2, value);
return;
}
#endif
code = (enum tree_code) icode;
switch (code)
{
case PLUS_EXPR:
eadd (d2, d1, v);
break;
case MINUS_EXPR:
esub (d2, d1, v); /* d1 - d2 */
break;
case MULT_EXPR:
emul (d2, d1, v);
break;
case RDIV_EXPR:
#ifndef REAL_INFINITY
if (ecmp (d2, ezero) == 0)
{
#ifdef NANS
enan (v, eisneg (d1) ^ eisneg (d2));
break;
#else
abort ();
#endif
}
#endif
ediv (d2, d1, v); /* d1/d2 */
break;
case MIN_EXPR: /* min (d1,d2) */
if (ecmp (d1, d2) < 0)
emov (d1, v);
else
emov (d2, v);
break;
case MAX_EXPR: /* max (d1,d2) */
if (ecmp (d1, d2) > 0)
emov (d1, v);
else
emov (d2, v);
break;
default:
emov (ezero, v);
break;
}
PUT_REAL (v, value);
}
/* Truncate REAL_VALUE_TYPE toward zero to signed HOST_WIDE_INT.
implements REAL_VALUE_RNDZINT (x) (etrunci (x)). */
REAL_VALUE_TYPE
etrunci (x)
REAL_VALUE_TYPE x;
{
UEMUSHORT f[NE], g[NE];
REAL_VALUE_TYPE r;
HOST_WIDE_INT l;
GET_REAL (&x, g);
#ifdef NANS
if (eisnan (g))
return (x);
#endif
eifrac (g, &l, f);
ltoe (&l, g);
PUT_REAL (g, &r);
return (r);
}
/* Truncate REAL_VALUE_TYPE toward zero to unsigned HOST_WIDE_INT;
implements REAL_VALUE_UNSIGNED_RNDZINT (x) (etruncui (x)). */
REAL_VALUE_TYPE
etruncui (x)
REAL_VALUE_TYPE x;
{
UEMUSHORT f[NE], g[NE];
REAL_VALUE_TYPE r;
unsigned HOST_WIDE_INT l;
GET_REAL (&x, g);
#ifdef NANS
if (eisnan (g))
return (x);
#endif
euifrac (g, &l, f);
ultoe (&l, g);
PUT_REAL (g, &r);
return (r);
}
/* This is the REAL_VALUE_ATOF function. It converts a decimal or hexadecimal
string to binary, rounding off as indicated by the machine_mode argument.
Then it promotes the rounded value to REAL_VALUE_TYPE. */
REAL_VALUE_TYPE
ereal_atof (s, t)
const char *s;
enum machine_mode t;
{
UEMUSHORT tem[NE], e[NE];
REAL_VALUE_TYPE r;
switch (t)
{
#ifdef C4X
case QFmode:
case HFmode:
asctoe53 (s, tem);
e53toe (tem, e);
break;
#else
case HFmode:
#endif
case SFmode:
asctoe24 (s, tem);
e24toe (tem, e);
break;
case DFmode:
asctoe53 (s, tem);
e53toe (tem, e);
break;
case TFmode:
#if (INTEL_EXTENDED_IEEE_FORMAT == 0)
asctoe113 (s, tem);
e113toe (tem, e);
break;
#endif
/* FALLTHRU */
case XFmode:
asctoe64 (s, tem);
e64toe (tem, e);
break;
default:
asctoe (s, e);
}
PUT_REAL (e, &r);
return (r);
}
/* Expansion of REAL_NEGATE. */
REAL_VALUE_TYPE
ereal_negate (x)
REAL_VALUE_TYPE x;
{
UEMUSHORT e[NE];
REAL_VALUE_TYPE r;
GET_REAL (&x, e);
eneg (e);
PUT_REAL (e, &r);
return (r);
}
/* Round real toward zero to HOST_WIDE_INT;
implements REAL_VALUE_FIX (x). */
HOST_WIDE_INT
efixi (x)
REAL_VALUE_TYPE x;
{
UEMUSHORT f[NE], g[NE];
HOST_WIDE_INT l;
GET_REAL (&x, f);
#ifdef NANS
if (eisnan (f))
{
warning ("conversion from NaN to int");
return (-1);
}
#endif
eifrac (f, &l, g);
return l;
}
/* Round real toward zero to unsigned HOST_WIDE_INT
implements REAL_VALUE_UNSIGNED_FIX (x).
Negative input returns zero. */
unsigned HOST_WIDE_INT
efixui (x)
REAL_VALUE_TYPE x;
{
UEMUSHORT f[NE], g[NE];
unsigned HOST_WIDE_INT l;
GET_REAL (&x, f);
#ifdef NANS
if (eisnan (f))
{
warning ("conversion from NaN to unsigned int");
return (-1);
}
#endif
euifrac (f, &l, g);
return l;
}
/* REAL_VALUE_FROM_INT macro. */
void
ereal_from_int (d, i, j, mode)
REAL_VALUE_TYPE *d;
HOST_WIDE_INT i, j;
enum machine_mode mode;
{
UEMUSHORT df[NE], dg[NE];
HOST_WIDE_INT low, high;
int sign;
if (GET_MODE_CLASS (mode) != MODE_FLOAT)
abort ();
sign = 0;
low = i;
if ((high = j) < 0)
{
sign = 1;
/* complement and add 1 */
high = ~high;
if (low)
low = -low;
else
high += 1;
}
eldexp (eone, HOST_BITS_PER_WIDE_INT, df);
ultoe ((unsigned HOST_WIDE_INT *) &high, dg);
emul (dg, df, dg);
ultoe ((unsigned HOST_WIDE_INT *) &low, df);
eadd (df, dg, dg);
if (sign)
eneg (dg);
/* A REAL_VALUE_TYPE may not be wide enough to hold the two HOST_WIDE_INTS.
Avoid double-rounding errors later by rounding off now from the
extra-wide internal format to the requested precision. */
switch (GET_MODE_BITSIZE (mode))
{
case 32:
etoe24 (dg, df);
e24toe (df, dg);
break;
case 64:
etoe53 (dg, df);
e53toe (df, dg);
break;
case 96:
etoe64 (dg, df);
e64toe (df, dg);
break;
case 128:
#if (INTEL_EXTENDED_IEEE_FORMAT == 0)
etoe113 (dg, df);
e113toe (df, dg);
#else
etoe64 (dg, df);
e64toe (df, dg);
#endif
break;
default:
abort ();
}
PUT_REAL (dg, d);
}
/* REAL_VALUE_FROM_UNSIGNED_INT macro. */
void
ereal_from_uint (d, i, j, mode)
REAL_VALUE_TYPE *d;
unsigned HOST_WIDE_INT i, j;
enum machine_mode mode;
{
UEMUSHORT df[NE], dg[NE];
unsigned HOST_WIDE_INT low, high;
if (GET_MODE_CLASS (mode) != MODE_FLOAT)
abort ();
low = i;
high = j;
eldexp (eone, HOST_BITS_PER_WIDE_INT, df);
ultoe (&high, dg);
emul (dg, df, dg);
ultoe (&low, df);
eadd (df, dg, dg);
/* A REAL_VALUE_TYPE may not be wide enough to hold the two HOST_WIDE_INTS.
Avoid double-rounding errors later by rounding off now from the
extra-wide internal format to the requested precision. */
switch (GET_MODE_BITSIZE (mode))
{
case 32:
etoe24 (dg, df);
e24toe (df, dg);
break;
case 64:
etoe53 (dg, df);
e53toe (df, dg);
break;
case 96:
etoe64 (dg, df);
e64toe (df, dg);
break;
case 128:
#if (INTEL_EXTENDED_IEEE_FORMAT == 0)
etoe113 (dg, df);
e113toe (df, dg);
#else
etoe64 (dg, df);
e64toe (df, dg);
#endif
break;
default:
abort ();
}
PUT_REAL (dg, d);
}
/* REAL_VALUE_TO_INT macro. */
void
ereal_to_int (low, high, rr)
HOST_WIDE_INT *low, *high;
REAL_VALUE_TYPE rr;
{
UEMUSHORT d[NE], df[NE], dg[NE], dh[NE];
int s;
GET_REAL (&rr, d);
#ifdef NANS
if (eisnan (d))
{
warning ("conversion from NaN to int");
*low = -1;
*high = -1;
return;
}
#endif
/* convert positive value */
s = 0;
if (eisneg (d))
{
eneg (d);
s = 1;
}
eldexp (eone, HOST_BITS_PER_WIDE_INT, df);
ediv (df, d, dg); /* dg = d / 2^32 is the high word */
euifrac (dg, (unsigned HOST_WIDE_INT *) high, dh);
emul (df, dh, dg); /* fractional part is the low word */
euifrac (dg, (unsigned HOST_WIDE_INT *)low, dh);
if (s)
{
/* complement and add 1 */
*high = ~(*high);
if (*low)
*low = -(*low);
else
*high += 1;
}
}
/* REAL_VALUE_LDEXP macro. */
REAL_VALUE_TYPE
ereal_ldexp (x, n)
REAL_VALUE_TYPE x;
int n;
{
UEMUSHORT e[NE], y[NE];
REAL_VALUE_TYPE r;
GET_REAL (&x, e);
#ifdef NANS
if (eisnan (e))
return (x);
#endif
eldexp (e, n, y);
PUT_REAL (y, &r);
return (r);
}
/* These routines are conditionally compiled because functions
of the same names may be defined in fold-const.c. */
#ifdef REAL_ARITHMETIC
/* Check for infinity in a REAL_VALUE_TYPE. */
int
target_isinf (x)
REAL_VALUE_TYPE x ATTRIBUTE_UNUSED;
{
#ifdef INFINITY
UEMUSHORT e[NE];
GET_REAL (&x, e);
return (eisinf (e));
#else
return 0;
#endif
}
/* Check whether a REAL_VALUE_TYPE item is a NaN. */
int
target_isnan (x)
REAL_VALUE_TYPE x ATTRIBUTE_UNUSED;
{
#ifdef NANS
UEMUSHORT e[NE];
GET_REAL (&x, e);
return (eisnan (e));
#else
return (0);
#endif
}
/* Check for a negative REAL_VALUE_TYPE number.
This just checks the sign bit, so that -0 counts as negative. */
int
target_negative (x)
REAL_VALUE_TYPE x;
{
return ereal_isneg (x);
}
/* Expansion of REAL_VALUE_TRUNCATE.
The result is in floating point, rounded to nearest or even. */
REAL_VALUE_TYPE
real_value_truncate (mode, arg)
enum machine_mode mode;
REAL_VALUE_TYPE arg;
{
UEMUSHORT e[NE], t[NE];
REAL_VALUE_TYPE r;
GET_REAL (&arg, e);
#ifdef NANS
if (eisnan (e))
return (arg);
#endif
eclear (t);
switch (mode)
{
case TFmode:
#if (INTEL_EXTENDED_IEEE_FORMAT == 0)
etoe113 (e, t);
e113toe (t, t);
break;
#endif
/* FALLTHRU */
case XFmode:
etoe64 (e, t);
e64toe (t, t);
break;
case DFmode:
etoe53 (e, t);
e53toe (t, t);
break;
case SFmode:
#ifndef C4X
case HFmode:
#endif
etoe24 (e, t);
e24toe (t, t);
break;
#ifdef C4X
case HFmode:
case QFmode:
etoe53 (e, t);
e53toe (t, t);
break;
#endif
case SImode:
r = etrunci (arg);
return (r);
/* If an unsupported type was requested, presume that
the machine files know something useful to do with
the unmodified value. */
default:
return (arg);
}
PUT_REAL (t, &r);
return (r);
}
/* Try to change R into its exact multiplicative inverse in machine mode
MODE. Return nonzero function value if successful. */
int
exact_real_inverse (mode, r)
enum machine_mode mode;
REAL_VALUE_TYPE *r;
{
UEMUSHORT e[NE], einv[NE];
REAL_VALUE_TYPE rinv;
int i;
GET_REAL (r, e);
/* Test for input in range. Don't transform IEEE special values. */
if (eisinf (e) || eisnan (e) || (ecmp (e, ezero) == 0))
return 0;
/* Test for a power of 2: all significand bits zero except the MSB.
We are assuming the target has binary (or hex) arithmetic. */
if (e[NE - 2] != 0x8000)
return 0;
for (i = 0; i < NE - 2; i++)
{
if (e[i] != 0)
return 0;
}
/* Compute the inverse and truncate it to the required mode. */
ediv (e, eone, einv);
PUT_REAL (einv, &rinv);
rinv = real_value_truncate (mode, rinv);
#ifdef CHECK_FLOAT_VALUE
/* This check is not redundant. It may, for example, flush
a supposedly IEEE denormal value to zero. */
i = 0;
if (CHECK_FLOAT_VALUE (mode, rinv, i))
return 0;
#endif
GET_REAL (&rinv, einv);
/* Check the bits again, because the truncation might have
generated an arbitrary saturation value on overflow. */
if (einv[NE - 2] != 0x8000)
return 0;
for (i = 0; i < NE - 2; i++)
{
if (einv[i] != 0)
return 0;
}
/* Fail if the computed inverse is out of range. */
if (eisinf (einv) || eisnan (einv) || (ecmp (einv, ezero) == 0))
return 0;
/* Output the reciprocal and return success flag. */
PUT_REAL (einv, r);
return 1;
}
#endif /* REAL_ARITHMETIC defined */
/* Used for debugging--print the value of R in human-readable format
on stderr. */
void
debug_real (r)
REAL_VALUE_TYPE r;
{
char dstr[30];
REAL_VALUE_TO_DECIMAL (r, "%.20g", dstr);
fprintf (stderr, "%s", dstr);
}
/* The following routines convert REAL_VALUE_TYPE to the various floating
point formats that are meaningful to supported computers.
The results are returned in 32-bit pieces, each piece stored in a `long'.
This is so they can be printed by statements like
fprintf (file, "%lx, %lx", L[0], L[1]);
that will work on both narrow- and wide-word host computers. */
/* Convert R to a 128-bit long double precision value. The output array L
contains four 32-bit pieces of the result, in the order they would appear
in memory. */
void
etartdouble (r, l)
REAL_VALUE_TYPE r;
long l[];
{
UEMUSHORT e[NE];
GET_REAL (&r, e);
etoe113 (e, e);
endian (e, l, TFmode);
}
/* Convert R to a double extended precision value. The output array L
contains three 32-bit pieces of the result, in the order they would
appear in memory. */
void
etarldouble (r, l)
REAL_VALUE_TYPE r;
long l[];
{
UEMUSHORT e[NE];
GET_REAL (&r, e);
etoe64 (e, e);
endian (e, l, XFmode);
}
/* Convert R to a double precision value. The output array L contains two
32-bit pieces of the result, in the order they would appear in memory. */
void
etardouble (r, l)
REAL_VALUE_TYPE r;
long l[];
{
UEMUSHORT e[NE];
GET_REAL (&r, e);
etoe53 (e, e);
endian (e, l, DFmode);
}
/* Convert R to a single precision float value stored in the least-significant
bits of a `long'. */
long
etarsingle (r)
REAL_VALUE_TYPE r;
{
UEMUSHORT e[NE];
long l;
GET_REAL (&r, e);
etoe24 (e, e);
endian (e, &l, SFmode);
return ((long) l);
}
/* Convert X to a decimal ASCII string S for output to an assembly
language file. Note, there is no standard way to spell infinity or
a NaN, so these values may require special treatment in the tm.h
macros. */
void
ereal_to_decimal (x, s)
REAL_VALUE_TYPE x;
char *s;
{
UEMUSHORT e[NE];
GET_REAL (&x, e);
etoasc (e, s, 20);
}
/* Compare X and Y. Return 1 if X > Y, 0 if X == Y, -1 if X < Y,
or -2 if either is a NaN. */
int
ereal_cmp (x, y)
REAL_VALUE_TYPE x, y;
{
UEMUSHORT ex[NE], ey[NE];
GET_REAL (&x, ex);
GET_REAL (&y, ey);
return (ecmp (ex, ey));
}
/* Return 1 if the sign bit of X is set, else return 0. */
int
ereal_isneg (x)
REAL_VALUE_TYPE x;
{
UEMUSHORT ex[NE];
GET_REAL (&x, ex);
return (eisneg (ex));
}
/* End of REAL_ARITHMETIC interface */
/*
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, similar to 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 exploded e-type 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 e-type 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) ASCII string to specified precision
e24toe (&f, e) IEEE single precision to e type
e53toe (&d, e) IEEE double precision to e type
e64toe (&d, e) IEEE long double precision to e type
e113toe (&d, e) 128-bit long double precision to e type
#if 0
eabs (e) absolute value
#endif
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) c = b / a
efloor (a, b) truncate to integer, toward -infinity
efrexp (a, exp, s) extract exponent and significand
eifrac (e, &l, frac) e to HOST_WIDE_INT and e type fraction
euifrac (e, &l, frac) e to unsigned HOST_WIDE_INT and e type fraction
einfin (e) 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) c = b * a
eneg (e) e = -e
#if 0
eround (a, b) b = nearest integer value to a
#endif
esub (a, b, c) c = b - a
#if 0
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) 80-bit long double to ASCII string
e113toasc (&d, str, n) 128-bit long double to ASCII string
#endif
etoasc (e, str, n) 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) HOST_WIDE_INT to e type
ultoe (&l, e) unsigned HOST_WIDE_INT 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
Routines for internal format exploded e-type 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) divide significands, bi = bi / ai
emdnorm (ai,l,s,exp) normalize and round off
emovi (a, ai) convert external a to internal ai
emovo (ai, a) convert internal ai to external a
emovz (ai, bi) bi = ai, low guard word of bi = 0
emulm (ai, bi) 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
eiisinf (ai) 1 if infinite
eiisnan (ai) 1 if a NaN
eiisneg (ai) 1 if sign bit of ai != 0, else 0
einan (ai) set ai = NaN
#if 0
eiinfin (ai) set ai = infinity
#endif
The result is always normalized and rounded to NI-4 word precision
after each arithmetic operation.
Exception flags are NOT fully supported.
Signaling NaN's are NOT supported; they are treated the same
as quiet NaN's.
Define INFINITY 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.
Denormals are always supported here where appropriate (e.g., not
for conversion to DEC numbers). */
/* Definitions for error codes that are passed to the common error handling
routine mtherr.
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 IEEE should be defined.
These numbers have 53-bit significands. In this mode, constants
are provided as arrays of hexadecimal 16 bit integers.
The endian-ness of generated values is controlled by
REAL_WORDS_BIG_ENDIAN.
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 INVALID 7 /* NaN-producing operation */
/* e type constants used by high precision check routines */
#if MAX_LONG_DOUBLE_TYPE_SIZE == 128 && (INTEL_EXTENDED_IEEE_FORMAT == 0)
/* 0.0 */
UEMUSHORT ezero[NE] =
{0x0000, 0x0000, 0x0000, 0x0000,
0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000,};
extern UEMUSHORT ezero[];
/* 5.0E-1 */
UEMUSHORT ehalf[NE] =
{0x0000, 0x0000, 0x0000, 0x0000,
0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x3ffe,};
extern UEMUSHORT ehalf[];
/* 1.0E0 */
UEMUSHORT eone[NE] =
{0x0000, 0x0000, 0x0000, 0x0000,
0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x3fff,};
extern UEMUSHORT eone[];
/* 2.0E0 */
UEMUSHORT etwo[NE] =
{0x0000, 0x0000, 0x0000, 0x0000,
0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x4000,};
extern UEMUSHORT etwo[];
/* 3.2E1 */
UEMUSHORT e32[NE] =
{0x0000, 0x0000, 0x0000, 0x0000,
0x0000, 0x0000, 0x0000, 0x0000, 0x8000, 0x4004,};
extern UEMUSHORT e32[];
/* 6.93147180559945309417232121458176568075500134360255E-1 */
UEMUSHORT elog2[NE] =
{0x40f3, 0xf6af, 0x03f2, 0xb398,
0xc9e3, 0x79ab, 0150717, 0013767, 0130562, 0x3ffe,};
extern UEMUSHORT elog2[];
/* 1.41421356237309504880168872420969807856967187537695E0 */
UEMUSHORT esqrt2[NE] =
{0x1d6f, 0xbe9f, 0x754a, 0x89b3,
0x597d, 0x6484, 0174736, 0171463, 0132404, 0x3fff,};
extern UEMUSHORT esqrt2[];
/* 3.14159265358979323846264338327950288419716939937511E0 */
UEMUSHORT epi[NE] =
{0x2902, 0x1cd1, 0x80dc, 0x628b,
0xc4c6, 0xc234, 0020550, 0155242, 0144417, 0040000,};
extern UEMUSHORT epi[];
#else
/* LONG_DOUBLE_TYPE_SIZE is other than 128 */
UEMUSHORT ezero[NE] =
{0, 0000000, 0000000, 0000000, 0000000, 0000000,};
UEMUSHORT ehalf[NE] =
{0, 0000000, 0000000, 0000000, 0100000, 0x3ffe,};
UEMUSHORT eone[NE] =
{0, 0000000, 0000000, 0000000, 0100000, 0x3fff,};
UEMUSHORT etwo[NE] =
{0, 0000000, 0000000, 0000000, 0100000, 0040000,};
UEMUSHORT e32[NE] =
{0, 0000000, 0000000, 0000000, 0100000, 0040004,};
UEMUSHORT elog2[NE] =
{0xc9e4, 0x79ab, 0150717, 0013767, 0130562, 0x3ffe,};
UEMUSHORT esqrt2[NE] =
{0x597e, 0x6484, 0174736, 0171463, 0132404, 0x3fff,};
UEMUSHORT epi[NE] =
{0xc4c6, 0xc234, 0020550, 0155242, 0144417, 0040000,};
#endif
/* Control register for rounding precision.
This can be set to 113 (if NE=10), 80 (if NE=6), 64, 56, 53, or 24 bits. */
int rndprc = NBITS;
extern int rndprc;
/* Clear out entire e-type number X. */
static void
eclear (x)
UEMUSHORT *x;
{
int i;
for (i = 0; i < NE; i++)
*x++ = 0;
}
/* Move e-type number from A to B. */
static void
emov (a, b)
UEMUSHORT *a, *b;
{
int i;
for (i = 0; i < NE; i++)
*b++ = *a++;
}
#if 0
/* Absolute value of e-type X. */
static void
eabs (x)
UEMUSHORT x[];
{
/* sign is top bit of last word of external format */
x[NE - 1] &= 0x7fff;
}
#endif /* 0 */
/* Negate the e-type number X. */
static void
eneg (x)
UEMUSHORT x[];
{
x[NE - 1] ^= 0x8000; /* Toggle the sign bit */
}
/* Return 1 if sign bit of e-type number X is nonzero, else zero. */
static int
eisneg (x)
UEMUSHORT x[];
{
if (x[NE - 1] & 0x8000)
return (1);
else
return (0);
}
/* Return 1 if e-type number X is infinity, else return zero. */
static int
eisinf (x)
UEMUSHORT x[];
{
#ifdef NANS
if (eisnan (x))
return (0);
#endif
if ((x[NE - 1] & 0x7fff) == 0x7fff)
return (1);
else
return (0);
}
/* Check if e-type number is not a number. The bit pattern is one that we
defined, so we know for sure how to detect it. */
static int
eisnan (x)
UEMUSHORT x[] ATTRIBUTE_UNUSED;
{
#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 e-type number X with infinity pattern (IEEE)
or largest possible number (non-IEEE). */
static void
einfin (x)
UEMUSHORT *x;
{
int i;
#ifdef INFINITY
for (i = 0; i < NE - 1; i++)
*x++ = 0;
*x |= 32767;
#else
for (i = 0; i < NE - 1; i++)
*x++ = 0xffff;
*x |= 32766;
if (rndprc < NBITS)
{
if (rndprc == 113)
{
*(x - 9) = 0;
*(x - 8) = 0;
}
if (rndprc == 64)
{
*(x - 5) = 0;
}
if (rndprc == 53)
{
*(x - 4) = 0xf800;
}
else
{
*(x - 4) = 0;
*(x - 3) = 0;
*(x - 2) = 0xff00;
}
}
#endif
}
/* Output an e-type NaN.
This generates Intel's quiet NaN pattern for extended real.
The exponent is 7fff, the leading mantissa word is c000. */
#ifdef NANS
static void
enan (x, sign)
UEMUSHORT *x;
int sign;
{
int i;
for (i = 0; i < NE - 2; i++)
*x++ = 0;
*x++ = 0xc000;
*x = (sign << 15) | 0x7fff;
}
#endif /* NANS */
/* Move in an e-type number A, converting it to exploded e-type B. */
static void
emovi (a, b)
UEMUSHORT *a, *b;
{
UEMUSHORT *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 out exploded e-type number A, converting it to e type B. */
static void
emovo (a, b)
UEMUSHORT *a, *b;
{
UEMUSHORT *p, *q;
UEMUSHORT i;
int j;
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, eiisneg (a));
return;
}
#endif
einfin (b);
return;
}
#endif
/* skip over guard word */
++p;
/* move the significand */
for (j = 0; j < NE - 1; j++)
*q-- = *p++;
}
/* Clear out exploded e-type number XI. */
static void
ecleaz (xi)
UEMUSHORT *xi;
{
int i;
for (i = 0; i < NI; i++)
*xi++ = 0;
}
/* Clear out exploded e-type XI, but don't touch the sign. */
static void
ecleazs (xi)
UEMUSHORT *xi;
{
int i;
++xi;
for (i = 0; i < NI - 1; i++)
*xi++ = 0;
}
/* Move exploded e-type number from A to B. */
static void
emovz (a, b)
UEMUSHORT *a, *b;
{
int i;
for (i = 0; i < NI - 1; i++)
*b++ = *a++;
/* clear low guard word */
*b = 0;
}
/* Generate exploded e-type NaN.
The explicit pattern for this is maximum exponent and
top two significant bits set. */
#ifdef NANS
static void
einan (x)
UEMUSHORT x[];
{
ecleaz (x);
x[E] = 0x7fff;
x[M + 1] = 0xc000;
}
#endif /* NANS */
/* Return nonzero if exploded e-type X is a NaN. */
#ifdef NANS
static int
eiisnan (x)
UEMUSHORT x[];
{
int i;
if ((x[E] & 0x7fff) == 0x7fff)
{
for (i = M + 1; i < NI; i++)
{
if (x[i] != 0)
return (1);
}
}
return (0);
}
#endif /* NANS */
/* Return nonzero if sign of exploded e-type X is nonzero. */
#ifdef NANS
static int
eiisneg (x)
UEMUSHORT x[];
{
return x[0] != 0;
}
#endif /* NANS */
#if 0
/* Fill exploded e-type X with infinity pattern.
This has maximum exponent and significand all zeros. */
static void
eiinfin (x)
UEMUSHORT x[];
{
ecleaz (x);
x[E] = 0x7fff;
}
#endif /* 0 */
/* Return nonzero if exploded e-type X is infinite. */
#ifdef INFINITY
static int
eiisinf (x)
UEMUSHORT x[];
{
#ifdef NANS
if (eiisnan (x))
return (0);
#endif
if ((x[E] & 0x7fff) == 0x7fff)
return (1);
return (0);
}
#endif /* INFINITY */
/* Compare significands of numbers in internal exploded e-type format.
Guard words are included in the comparison.
Returns +1 if a > b
0 if a == b
-1 if a < b */
static int
ecmpm (a, b)
UEMUSHORT *a, *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 of exploded e-type X down by 1 bit. */
static void
eshdn1 (x)
UEMUSHORT *x;
{
UEMUSHORT 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 of exploded e-type X up by 1 bit. */
static void
eshup1 (x)
UEMUSHORT *x;
{
UEMUSHORT 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 of exploded e-type X down by 8 bits. */
static void
eshdn8 (x)
UEMUSHORT *x;
{
UEMUSHORT 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 of exploded e-type X up by 8 bits. */
static void
eshup8 (x)
UEMUSHORT *x;
{
int i;
UEMUSHORT 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 of exploded e-type X up by 16 bits. */
static void
eshup6 (x)
UEMUSHORT *x;
{
int i;
UEMUSHORT *p;
p = x + M;
x += M + 1;
for (i = M; i < NI - 1; i++)
*p++ = *x++;
*p = 0;
}
/* Shift significand of exploded e-type X down by 16 bits. */
static void
eshdn6 (x)
UEMUSHORT *x;
{
int i;
UEMUSHORT *p;
x += NI - 1;
p = x + 1;
for (i = M; i < NI - 1; i++)
*(--p) = *(--x);
*(--p) = 0;
}
/* Add significands of exploded e-type X and Y. X + Y replaces Y. */
static void
eaddm (x, y)
UEMUSHORT *x, *y;
{
unsigned EMULONG a;
int i;
unsigned int carry;
x += NI - 1;
y += NI - 1;
carry = 0;
for (i = M; i < NI; i++)
{
a = (unsigned EMULONG) (*x) + (unsigned EMULONG) (*y) + carry;
if (a & 0x10000)
carry = 1;
else
carry = 0;
*y = (UEMUSHORT) a;
--x;
--y;
}
}
/* Subtract significands of exploded e-type X and Y. Y - X replaces Y. */
static void
esubm (x, y)
UEMUSHORT *x, *y;
{
unsigned EMULONG a;
int i;
unsigned int carry;
x += NI - 1;
y += NI - 1;
carry = 0;
for (i = M; i < NI; i++)
{
a = (unsigned EMULONG) (*y) - (unsigned EMULONG) (*x) - carry;
if (a & 0x10000)
carry = 1;
else
carry = 0;
*y = (UEMUSHORT) a;
--x;
--y;
}
}
static UEMUSHORT equot[NI];
#if 0
/* Radix 2 shift-and-add versions of multiply and divide */
/* Divide significands */
int
edivm (den, num)
UEMUSHORT den[], num[];
{
int i;
UEMUSHORT *p, *q;
UEMUSHORT j;
p = &equot[0];
*p++ = num[0];
*p++ = num[1];
for (i = M; i < NI; i++)
{
*p++ = 0;
}
/* Use faster compare and subtraction if denominator has only 15 bits of
significance. */
p = &den[M + 2];
if (*p++ == 0)
{
for (i = M + 3; i < NI; i++)
{
if (*p++ != 0)
goto fulldiv;
}
if ((den[M + 1] & 1) != 0)
goto fulldiv;
eshdn1 (num);
eshdn1 (den);
p = &den[M + 1];
q = &num[M + 1];
for (i = 0; i < NBITS + 2; i++)
{
if (*p <= *q)
{
*q -= *p;
j = 1;
}
else
{
j = 0;
}
eshup1 (equot);
equot[NI - 2] |= j;
eshup1 (num);
}
goto divdon;
}
/* The number of quotient bits to calculate is NBITS + 1 scaling guard
bit + 1 roundoff bit. */
fulldiv:
p = &equot[NI - 2];
for (i = 0; i < NBITS + 2; i++)
{
if (ecmpm (den, num) <= 0)
{
esubm (den, num);
j = 1; /* quotient bit = 1 */
}
else
j = 0;
eshup1 (equot);
*p |= j;
eshup1 (num);
}
divdon:
eshdn1 (equot);
eshdn1 (equot);
/* 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 */
int
emulm (a, b)
UEMUSHORT a[], b[];
{
UEMUSHORT *p, *q;
int i, j, k;
equot[0] = b[0];
equot[1] = b[1];
for (i = M; i < NI; i++)
equot[i] = 0;
p = &a[NI - 2];
k = NBITS;
while (*p == 0) /* significand is not supposed to be zero */
{
eshdn6 (a);
k -= 16;
}
if ((*p & 0xff) == 0)
{
eshdn8 (a);
k -= 8;
}
q = &equot[NI - 1];
j = 0;
for (i = 0; i < k; i++)
{
if (*p & 1)
eaddm (b, equot);
/* remember if there were any nonzero bits shifted out */
if (*q & 1)
j |= 1;
eshdn1 (a);
eshdn1 (equot);
}
for (i = 0; i < NI; i++)
b[i] = equot[i];
/* return flag for lost nonzero bits */
return (j);
}
#else
/* Radix 65536 versions of multiply and divide. */
/* Multiply significand of e-type number B
by 16-bit quantity A, return e-type result to C. */
static void
m16m (a, b, c)
unsigned int a;
UEMUSHORT b[], c[];
{
UEMUSHORT *pp;
unsigned EMULONG carry;
UEMUSHORT *ps;
UEMUSHORT p[NI];
unsigned EMULONG 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 EMULONG) aa * *ps--;
carry = (m & 0xffff) + *pp;
*pp-- = (UEMUSHORT)carry;
carry = (carry >> 16) + (m >> 16) + *pp;
*pp = (UEMUSHORT)carry;
*(pp-1) = carry >> 16;
}
}
for (i=M; i<NI; i++)
c[i] = p[i];
}
/* Divide significands of exploded e-types NUM / DEN. Neither the
numerator NUM nor the denominator DEN is permitted to have its high guard
word nonzero. */
static int
edivm (den, num)
UEMUSHORT den[], num[];
{
int i;
UEMUSHORT *p;
unsigned EMULONG tnum;
UEMUSHORT j, tdenm, tquot;
UEMUSHORT tprod[NI+1];
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 EMULONG) num[M]) << 16) + num[M+1];
/* Do not execute the divide instruction if it will overflow. */
if ((tdenm * (unsigned long)0xffff) < tnum)
tquot = 0xffff;
else
tquot = tnum / tdenm;
/* Multiply denominator by trial quotient digit. */
m16m ((unsigned int)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);
}
}
esubm (tprod, num);
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 of exploded e-type A and B, result in B. */
static int
emulm (a, b)
UEMUSHORT a[], b[];
{
UEMUSHORT *p, *q;
UEMUSHORT pprod[NI];
UEMUSHORT j;
int i;
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 ((unsigned int) *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);
}
#endif
/* Normalize and round off.
The internal format number to be rounded is S.
Input LOST is 0 if the value 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. If it is nonzero, the
returned value will be rounded to RNDPRC bits.
For future reference: In order for emdnorm to round off denormal
significands at the right point, the input exponent must be
adjusted to be the actual value it would have after conversion to
the final floating point type. This adjustment has been
implemented for all type conversions (etoe53, etc.) and decimal
conversions, but not for the arithmetic functions (eadd, etc.).
Data types having standard 15-bit exponents are not affected by
this, but SFmode and DFmode are affected. For example, ediv with
rndprc = 24 will not round correctly to 24-bit precision if the
result is denormal. */
static int rlast = -1;
static int rw = 0;
static UEMUSHORT rmsk = 0;
static UEMUSHORT rmbit = 0;
static UEMUSHORT rebit = 0;
static int re = 0;
static UEMUSHORT rbit[NI];
static void
emdnorm (s, lost, subflg, exp, rcntrl)
UEMUSHORT s[];
int lost;
int subflg;
EMULONG exp;
int rcntrl;
{
int i, j;
UEMUSHORT 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 < 32767))
{
ecleazs (s);
return;
}
#endif
if (exp < 0L)
{
if (exp > (EMULONG) (-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 (rndprc != rlast)
{
ecleaz (rbit);
switch (rndprc)
{
default:
case NBITS:
rw = NI - 1; /* low guard word */
rmsk = 0xffff;
rmbit = 0x8000;
re = rw - 1;
rebit = 1;
break;
case 113:
rw = 10;
rmsk = 0x7fff;
rmbit = 0x4000;
rebit = 0x8000;
re = rw;
break;
case 64:
rw = 7;
rmsk = 0xffff;
rmbit = 0x8000;
re = rw - 1;
rebit = 1;
break;
/* For DEC or IBM arithmetic */
case 56:
rw = 6;
rmsk = 0xff;
rmbit = 0x80;
rebit = 0x100;
re = rw;
break;
case 53:
rw = 6;
rmsk = 0x7ff;
rmbit = 0x0400;
rebit = 0x800;
re = rw;
break;
/* For C4x arithmetic */
case 32:
rw = 5;
rmsk = 0xffff;
rmbit = 0x8000;
rebit = 1;
re = rw - 1;
break;
case 24:
rw = 4;
rmsk = 0xff;
rmbit = 0x80;
rebit = 0x100;
re = rw;
break;
}
rbit[re] = rebit;
rlast = rndprc;
}
/* Shift down 1 temporarily if the data structure has an implied
most significant bit and the number is denormal.
Intel long double denormals also lose one bit of precision. */
if ((exp <= 0) && (rndprc != NBITS)
&& ((rndprc != 64) || ((rndprc == 64) && ! REAL_WORDS_BIG_ENDIAN)))
{
lost |= s[NI - 1] & 1;
eshdn1 (s);
}
/* Clear out all bits below the rounding bit,
remembering in r if any were nonzero. */
r = s[rw] & rmsk;
if (rndprc < NBITS)
{
i = rw + 1;
while (i < NI)
{
if (s[i])
r |= 1;
s[i] = 0;
++i;
}
}
s[rw] &= ~rmsk;
if ((r & rmbit) != 0)
{
#ifndef C4X
if (r == rmbit)
{
if (lost == 0)
{ /* round to even */
if ((s[re] & rebit) == 0)
goto mddone;
}
else
{
if (subflg != 0)
goto mddone;
}
}
#endif
eaddm (rbit, s);
}
mddone:
/* Undo the temporary shift for denormal values. */
if ((exp <= 0) && (rndprc != NBITS)
&& ((rndprc != 64) || ((rndprc == 64) && ! REAL_WORDS_BIG_ENDIAN)))
{
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;
if (extra_warnings)
warning ("floating point overflow");
#else
s[1] = 32766;
s[2] = 0;
for (i = M + 1; i < NI - 1; i++)
s[i] = 0xffff;
s[NI - 1] = 0;
if ((rndprc < 64) || (rndprc == 113))
{
s[rw] &= ~rmsk;
if (rndprc == 24)
{
s[5] = 0;
s[6] = 0;
}
}
#endif
return;
}
if (exp < 0)
s[1] = 0;
else
s[1] = (UEMUSHORT) exp;
}
/* Subtract. C = B - A, all e type numbers. */
static int subflg = 0;
static void
esub (a, b, c)
UEMUSHORT *a, *b, *c;
{
#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", INVALID);
enan (c, 0);
return;
}
#endif
subflg = 1;
eadd1 (a, b, c);
}
/* Add. C = A + B, all e type. */
static void
eadd (a, b, c)
UEMUSHORT *a, *b, *c;
{
#ifdef NANS
/* NaN plus anything is a NaN. */
if (eisnan (a))
{
emov (a, c);
return;
}
if (eisnan (b))
{
emov (b, c);
return;
}
/* Infinity minus infinity is a NaN.
Test for adding infinities of opposite signs. */
if (eisinf (a) && eisinf (b)
&& ((eisneg (a) ^ eisneg (b)) != 0))
{
mtherr ("esub", INVALID);
enan (c, 0);
return;
}
#endif
subflg = 0;
eadd1 (a, b, c);
}
/* Arithmetic common to both addition and subtraction. */
static void
eadd1 (a, b, c)
UEMUSHORT *a, *b, *c;
{
UEMUSHORT ai[NI], bi[NI], ci[NI];
int i, lost, j, k;
EMULONG 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 < (EMULONG) (-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 denormalized 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)
{
ltb += 1;
if (ltb >= 0x7fff)
{
eclear (c);
if (ai[0] != 0)
eneg (c);
einfin (c);
return;
}
break;
}
}
bi[E] = (UEMUSHORT) 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);
done:
emovo (bi, c);
}
/* Divide: C = B/A, all e type. */
static void
ediv (a, b, c)
UEMUSHORT *a, *b, *c;
{
UEMUSHORT ai[NI], bi[NI];
int i, sign;
EMULONG lt, lta, ltb;
/* IEEE says if result is not a NaN, the sign is "-" if and only if
operands have opposite signs -- but flush -0 to 0 later if not IEEE. */
sign = eisneg(a) ^ eisneg(b);
#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", INVALID);
enan (c, sign);
return;
}
#endif
/* Infinity over anything else is infinity. */
#ifdef INFINITY
if (eisinf (b))
{
einfin (c);
goto divsign;
}
/* Anything else over infinity is zero. */
if (eisinf (a))
{
eclear (c);
goto divsign;
}
#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);
goto divsign;
}
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;
}
}
/* Divide by zero is not an invalid operation.
It is a divide-by-zero operation! */
einfin (c);
mtherr ("ediv", SING);
goto divsign;
}
dnzro2:
i = edivm (ai, bi);
/* calculate exponent */
lt = ltb - lta + EXONE;
emdnorm (bi, i, 0, lt, 64);
emovo (bi, c);
divsign:
if (sign
#ifndef IEEE
&& (ecmp (c, ezero) != 0)
#endif
)
*(c+(NE-1)) |= 0x8000;
else
*(c+(NE-1)) &= ~0x8000;
}
/* Multiply e-types A and B, return e-type product C. */
static void
emul (a, b, c)
UEMUSHORT *a, *b, *c;
{
UEMUSHORT ai[NI], bi[NI];
int i, j, sign;
EMULONG lt, lta, ltb;
/* IEEE says if result is not a NaN, the sign is "-" if and only if
operands have opposite signs -- but flush -0 to 0 later if not IEEE. */
sign = eisneg(a) ^ eisneg(b);
#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", INVALID);
enan (c, sign);
return;
}
#endif
/* Infinity times anything else is infinity. */
#ifdef INFINITY
if (eisinf (a) || eisinf (b))
{
einfin (c);
goto mulsign;
}
#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);
goto mulsign;
}
mnzer1:
if (bi[E] == 0)
{
for (i = 1; i < NI - 1; i++)
{
if (bi[i] != 0)
{
ltb -= enormlz (bi);
goto mnzer2;
}
}
eclear (c);
goto mulsign;
}
mnzer2:
/* Multiply significands */
j = emulm (ai, bi);
/* calculate exponent */
lt = lta + ltb - (EXONE - 1);
emdnorm (bi, j, 0, lt, 64);
emovo (bi, c);
mulsign:
if (sign
#ifndef IEEE
&& (ecmp (c, ezero) != 0)
#endif
)
*(c+(NE-1)) |= 0x8000;
else
*(c+(NE-1)) &= ~0x8000;
}
/* Convert double precision PE to e-type Y. */
static void
e53toe (pe, y)
UEMUSHORT *pe, *y;
{
#ifdef DEC
dectoe (pe, y);
#else
#ifdef IBM
ibmtoe (pe, y, DFmode);
#else
#ifdef C4X
c4xtoe (pe, y, HFmode);
#else
UEMUSHORT r;
UEMUSHORT *e, *p;
UEMUSHORT yy[NI];
int denorm, k;
e = pe;
denorm = 0; /* flag if denormalized number */
ecleaz (yy);
if (! REAL_WORDS_BIG_ENDIAN)
e += 3;
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
if (! REAL_WORDS_BIG_ENDIAN)
{
if (((pe[3] & 0xf) != 0) || (pe[2] != 0)
|| (pe[1] != 0) || (pe[0] != 0))
{
enan (y, yy[0] != 0);
return;
}
}
else
{
if (((pe[0] & 0xf) != 0) || (pe[1] != 0)
|| (pe[2] != 0) || (pe[3] != 0))
{
enan (y, yy[0] != 0);
return;
}
}
#endif /* NANS */
eclear (y);
einfin (y);
if (yy[0])
eneg (y);
return;
}
#endif /* INFINITY */
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 IEEE
if (! REAL_WORDS_BIG_ENDIAN)
{
*p++ = *(--e);
*p++ = *(--e);
*p++ = *(--e);
}
else
{
++e;
*p++ = *e++;
*p++ = *e++;
*p++ = *e++;
}
#endif
eshift (yy, -5);
if (denorm)
{
/* If zero exponent, then normalize the significand. */
if ((k = enormlz (yy)) > NBITS)
ecleazs (yy);
else
yy[E] -= (UEMUSHORT) (k - 1);
}
emovo (yy, y);
#endif /* not C4X */
#endif /* not IBM */
#endif /* not DEC */
}
/* Convert double extended precision float PE to e type Y. */
static void
e64toe (pe, y)
UEMUSHORT *pe, *y;
{
UEMUSHORT yy[NI];
UEMUSHORT *e, *p, *q;
int i;
e = pe;
p = yy;
for (i = 0; i < NE - 5; i++)
*p++ = 0;
/* This precision is not ordinarily supported on DEC or IBM. */
#ifdef DEC
for (i = 0; i < 5; i++)
*p++ = *e++;
#endif
#ifdef IBM
p = &yy[0] + (NE - 1);
*p-- = *e++;
++e;
for (i = 0; i < 5; i++)
*p-- = *e++;
#endif
#ifdef IEEE
if (! REAL_WORDS_BIG_ENDIAN)
{
for (i = 0; i < 5; i++)
*p++ = *e++;
/* For denormal long double Intel format, shift significand up one
-- but only if the top significand bit is zero. A top bit of 1
is "pseudodenormal" when the exponent is zero. */
if((yy[NE-1] & 0x7fff) == 0 && (yy[NE-2] & 0x8000) == 0)
{
UEMUSHORT temp[NI];
emovi(yy, temp);
eshup1(temp);
emovo(temp,y);
return;
}
}
else
{
p = &yy[0] + (NE - 1);
#ifdef ARM_EXTENDED_IEEE_FORMAT
/* For ARMs, the exponent is in the lowest 15 bits of the word. */
*p-- = (e[0] & 0x8000) | (e[1] & 0x7ffff);
e += 2;
#else
*p-- = *e++;
++e;
#endif
for (i = 0; i < 4; i++)
*p-- = *e++;
}
#endif
#ifdef INFINITY
/* Point to the exponent field and check max exponent cases. */
p = &yy[NE - 1];
if ((*p & 0x7fff) == 0x7fff)
{
#ifdef NANS
if (! REAL_WORDS_BIG_ENDIAN)
{
for (i = 0; i < 4; i++)
{
if ((i != 3 && pe[i] != 0)
/* Anything but 0x8000 here, including 0, is a NaN. */
|| (i == 3 && pe[i] != 0x8000))
{
enan (y, (*p & 0x8000) != 0);
return;
}
}
}
else
{
#ifdef ARM_EXTENDED_IEEE_FORMAT
for (i = 2; i <= 5; i++)
{
if (pe[i] != 0)
{
enan (y, (*p & 0x8000) != 0);
return;
}
}
#else /* not ARM */
/* In Motorola extended precision format, the most significant
bit of an infinity mantissa could be either 1 or 0. It is
the lower order bits that tell whether the value is a NaN. */
if ((pe[2] & 0x7fff) != 0)
goto bigend_nan;
for (i = 3; i <= 5; i++)
{
if (pe[i] != 0)
{
bigend_nan:
enan (y, (*p & 0x8000) != 0);
return;
}
}
#endif /* not ARM */
}
#endif /* NANS */
eclear (y);
einfin (y);
if (*p & 0x8000)
eneg (y);
return;
}
#endif /* INFINITY */
p = yy;
q = y;
for (i = 0; i < NE; i++)
*q++ = *p++;
}
#if (INTEL_EXTENDED_IEEE_FORMAT == 0)
/* Convert 128-bit long double precision float PE to e type Y. */
static void
e113toe (pe, y)
UEMUSHORT *pe, *y;
{
UEMUSHORT r;
UEMUSHORT *e, *p;
UEMUSHORT yy[NI];
int denorm, i;
e = pe;
denorm = 0;
ecleaz (yy);
#ifdef IEEE
if (! REAL_WORDS_BIG_ENDIAN)
e += 7;
#endif
r = *e;
yy[0] = 0;
if (r & 0x8000)
yy[0] = 0xffff;
r &= 0x7fff;
#ifdef INFINITY
if (r == 0x7fff)
{
#ifdef NANS
if (! REAL_WORDS_BIG_ENDIAN)
{
for (i = 0; i < 7; i++)
{
if (pe[i] != 0)
{
enan (y, yy[0] != 0);
return;
}
}
}
else
{
for (i = 1; i < 8; i++)
{
if (pe[i] != 0)
{
enan (y, yy[0] != 0);
return;
}
}
}
#endif /* NANS */
eclear (y);
einfin (y);
if (yy[0])
eneg (y);
return;
}
#endif /* INFINITY */
yy[E] = r;
p = &yy[M + 1];
#ifdef IEEE
if (! REAL_WORDS_BIG_ENDIAN)
{
for (i = 0; i < 7; i++)
*p++ = *(--e);
}
else
{
++e;
for (i = 0; i < 7; i++)
*p++ = *e++;
}
#endif
/* 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);
}
#endif
/* Convert single precision float PE to e type Y. */
static void
e24toe (pe, y)
UEMUSHORT *pe, *y;
{
#ifdef IBM
ibmtoe (pe, y, SFmode);
#else
#ifdef C4X
c4xtoe (pe, y, QFmode);
#else
UEMUSHORT r;
UEMUSHORT *e, *p;
UEMUSHORT yy[NI];
int denorm, k;
e = pe;
denorm = 0; /* flag if denormalized number */
ecleaz (yy);
#ifdef IEEE
if (! REAL_WORDS_BIG_ENDIAN)
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
if (REAL_WORDS_BIG_ENDIAN)
{
if (((pe[0] & 0x7f) != 0) || (pe[1] != 0))
{
enan (y, yy[0] != 0);
return;
}
}
else
{
if (((pe[1] & 0x7f) != 0) || (pe[0] != 0))
{
enan (y, yy[0] != 0);
return;
}
}
#endif /* NANS */
eclear (y);
einfin (y);
if (yy[0])
eneg (y);
return;
}
#endif /* INFINITY */
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 DEC
*p++ = *(--e);
#endif
#ifdef IEEE
if (! REAL_WORDS_BIG_ENDIAN)
*p++ = *(--e);
else
{
++e;
*p++ = *e++;
}
#endif
eshift (yy, -8);
if (denorm)
{ /* if zero exponent, then normalize the significand */
if ((k = enormlz (yy)) > NBITS)
ecleazs (yy);
else
yy[E] -= (UEMUSHORT) (k - 1);
}
emovo (yy, y);
#endif /* not C4X */
#endif /* not IBM */
}
/* Convert e-type X to IEEE 128-bit long double format E. */
static void
etoe113 (x, e)
UEMUSHORT *x, *e;
{
UEMUSHORT xi[NI];
EMULONG exp;
int rndsav;
#ifdef NANS
if (eisnan (x))
{
make_nan (e, eisneg (x), TFmode);
return;
}
#endif
emovi (x, xi);
exp = (EMULONG) xi[E];
#ifdef INFINITY
if (eisinf (x))
goto nonorm;
#endif
/* round off to nearest or even */
rndsav = rndprc;
rndprc = 113;
emdnorm (xi, 0, 0, exp, 64);
rndprc = rndsav;
#ifdef INFINITY
nonorm:
#endif
toe113 (xi, e);
}
/* Convert exploded e-type X, that has already been rounded to
113-bit precision, to IEEE 128-bit long double format Y. */
static void
toe113 (a, b)
UEMUSHORT *a, *b;
{
UEMUSHORT *p, *q;
UEMUSHORT i;
#ifdef NANS
if (eiisnan (a))
{
make_nan (b, eiisneg (a), TFmode);
return;
}
#endif
p = a;
if (REAL_WORDS_BIG_ENDIAN)
q = b;
else
q = b + 7; /* point to output exponent */
/* If not denormal, delete the implied bit. */
if (a[E] != 0)
{
eshup1 (a);
}
/* combine sign and exponent */
i = *p++;
if (REAL_WORDS_BIG_ENDIAN)
{
if (i)
*q++ = *p++ | 0x8000;
else
*q++ = *p++;
}
else
{
if (i)
*q-- = *p++ | 0x8000;
else
*q-- = *p++;
}
/* skip over guard word */
++p;
/* move the significand */
if (REAL_WORDS_BIG_ENDIAN)
{
for (i = 0; i < 7; i++)
*q++ = *p++;
}
else
{
for (i = 0; i < 7; i++)
*q-- = *p++;
}
}
/* Convert e-type X to IEEE double extended format E. */
static void
etoe64 (x, e)
UEMUSHORT *x, *e;
{
UEMUSHORT xi[NI];
EMULONG exp;
int rndsav;
#ifdef NANS
if (eisnan (x))
{
make_nan (e, eisneg (x), XFmode);
return;
}
#endif
emovi (x, xi);
/* adjust exponent for offset */
exp = (EMULONG) xi[E];
#ifdef INFINITY
if (eisinf (x))
goto nonorm;
#endif
/* round off to nearest or even */
rndsav = rndprc;
rndprc = 64;
emdnorm (xi, 0, 0, exp, 64);
rndprc = rndsav;
#ifdef INFINITY
nonorm:
#endif
toe64 (xi, e);
}
/* Convert exploded e-type X, that has already been rounded to
64-bit precision, to IEEE double extended format Y. */
static void
toe64 (a, b)
UEMUSHORT *a, *b;
{
UEMUSHORT *p, *q;
UEMUSHORT i;
#ifdef NANS
if (eiisnan (a))
{
make_nan (b, eiisneg (a), XFmode);
return;
}
#endif
/* Shift denormal long double Intel format significand down one bit. */
if ((a[E] == 0) && ! REAL_WORDS_BIG_ENDIAN)
eshdn1 (a);
p = a;
#ifdef IBM
q = b;
#endif
#ifdef DEC
q = b + 4;
#endif
#ifdef IEEE
if (REAL_WORDS_BIG_ENDIAN)
q = b;
else
{
q = b + 4; /* point to output exponent */
/* Clear the last two bytes of 12-byte Intel format. q is pointing
into an array of size 6 (e.g. x[NE]), so the last two bytes are
always there, and there are never more bytes, even when we are using
INTEL_EXTENDED_IEEE_FORMAT. */
*(q+1) = 0;
}
#endif
/* combine sign and exponent */
i = *p++;
#ifdef IBM
if (i)
*q++ = *p++ | 0x8000;
else
*q++ = *p++;
*q++ = 0;
#endif
#ifdef DEC
if (i)
*q-- = *p++ | 0x8000;
else
*q-- = *p++;
#endif
#ifdef IEEE
if (REAL_WORDS_BIG_ENDIAN)
{
#ifdef ARM_EXTENDED_IEEE_FORMAT
/* The exponent is in the lowest 15 bits of the first word. */
*q++ = i ? 0x8000 : 0;
*q++ = *p++;
#else
if (i)
*q++ = *p++ | 0x8000;
else
*q++ = *p++;
*q++ = 0;
#endif
}
else
{
if (i)
*q-- = *p++ | 0x8000;
else
*q-- = *p++;
}
#endif
/* skip over guard word */
++p;
/* move the significand */
#ifdef IBM
for (i = 0; i < 4; i++)
*q++ = *p++;
#endif
#ifdef DEC
for (i = 0; i < 4; i++)
*q-- = *p++;
#endif
#ifdef IEEE
if (REAL_WORDS_BIG_ENDIAN)
{
for (i = 0; i < 4; i++)
*q++ = *p++;
}
else
{
#ifdef INFINITY
if (eiisinf (a))
{
/* Intel long double infinity significand. */
*q-- = 0x8000;
*q-- = 0;
*q-- = 0;
*q = 0;
return;
}
#endif
for (i = 0; i < 4; i++)
*q-- = *p++;
}
#endif
}
/* e type to double precision. */
#ifdef DEC
/* Convert e-type X to DEC-format double E. */
static void
etoe53 (x, e)
UEMUSHORT *x, *e;
{
etodec (x, e); /* see etodec.c */
}
/* Convert exploded e-type X, that has already been rounded to
56-bit double precision, to DEC double Y. */
static void
toe53 (x, y)
UEMUSHORT *x, *y;
{
todec (x, y);
}
#else
#ifdef IBM
/* Convert e-type X to IBM 370-format double E. */
static void
etoe53 (x, e)
UEMUSHORT *x, *e;
{
etoibm (x, e, DFmode);
}
/* Convert exploded e-type X, that has already been rounded to
56-bit precision, to IBM 370 double Y. */
static void
toe53 (x, y)
UEMUSHORT *x, *y;
{
toibm (x, y, DFmode);
}
#else /* it's neither DEC nor IBM */
#ifdef C4X
/* Convert e-type X to C4X-format long double E. */
static void
etoe53 (x, e)
UEMUSHORT *x, *e;
{
etoc4x (x, e, HFmode);
}
/* Convert exploded e-type X, that has already been rounded to
56-bit precision, to IBM 370 double Y. */
static void
toe53 (x, y)
UEMUSHORT *x, *y;
{
toc4x (x, y, HFmode);
}
#else /* it's neither DEC nor IBM nor C4X */
/* Convert e-type X to IEEE double E. */
static void
etoe53 (x, e)
UEMUSHORT *x, *e;
{
UEMUSHORT xi[NI];
EMULONG exp;
int rndsav;
#ifdef NANS
if (eisnan (x))
{
make_nan (e, eisneg (x), DFmode);
return;
}
#endif
emovi (x, xi);
/* adjust exponent for offsets */
exp = (EMULONG) xi[E] - (EXONE - 0x3ff);
#ifdef INFINITY
if (eisinf (x))
goto nonorm;
#endif
/* round off to nearest or even */
rndsav = rndprc;
rndprc = 53;
emdnorm (xi, 0, 0, exp, 64);
rndprc = rndsav;
#ifdef INFINITY
nonorm:
#endif
toe53 (xi, e);
}
/* Convert exploded e-type X, that has already been rounded to
53-bit precision, to IEEE double Y. */
static void
toe53 (x, y)
UEMUSHORT *x, *y;
{
UEMUSHORT i;
UEMUSHORT *p;
#ifdef NANS
if (eiisnan (x))
{
make_nan (y, eiisneg (x), DFmode);
return;
}
#endif
p = &x[0];
#ifdef IEEE
if (! REAL_WORDS_BIG_ENDIAN)
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;
if (! REAL_WORDS_BIG_ENDIAN)
{
*(--y) = 0;
*(--y) = 0;
*(--y) = 0;
}
else
{
++y;
*y++ = 0;
*y++ = 0;
*y++ = 0;
}
#else
*y |= (UEMUSHORT) 0x7fef;
if (! REAL_WORDS_BIG_ENDIAN)
{
*(--y) = 0xffff;
*(--y) = 0xffff;
*(--y) = 0xffff;
}
else
{
++y;
*y++ = 0xffff;
*y++ = 0xffff;
*y++ = 0xffff;
}
#endif
return;
}
if (i == 0)
{
eshift (x, 4);
}
else
{
i <<= 4;
eshift (x, 5);
}
i |= *p++ & (UEMUSHORT) 0x0f; /* *p = xi[M] */
*y |= (UEMUSHORT) i; /* high order output already has sign bit set */
if (! REAL_WORDS_BIG_ENDIAN)
{
*(--y) = *p++;
*(--y) = *p++;
*(--y) = *p;
}
else
{
++y;
*y++ = *p++;
*y++ = *p++;
*y++ = *p++;
}
}
#endif /* not C4X */
#endif /* not IBM */
#endif /* not DEC */
/* e type to single precision. */
#ifdef IBM
/* Convert e-type X to IBM 370 float E. */
static void
etoe24 (x, e)
UEMUSHORT *x, *e;
{
etoibm (x, e, SFmode);
}
/* Convert exploded e-type X, that has already been rounded to
float precision, to IBM 370 float Y. */
static void
toe24 (x, y)
UEMUSHORT *x, *y;
{
toibm (x, y, SFmode);
}
#else
#ifdef C4X
/* Convert e-type X to C4X float E. */
static void
etoe24 (x, e)
UEMUSHORT *x, *e;
{
etoc4x (x, e, QFmode);
}
/* Convert exploded e-type X, that has already been rounded to
float precision, to IBM 370 float Y. */
static void
toe24 (x, y)
UEMUSHORT *x, *y;
{
toc4x (x, y, QFmode);
}
#else
/* Convert e-type X to IEEE float E. DEC float is the same as IEEE float. */
static void
etoe24 (x, e)
UEMUSHORT *x, *e;
{
EMULONG exp;
UEMUSHORT xi[NI];
int rndsav;
#ifdef NANS
if (eisnan (x))
{
make_nan (e, eisneg (x), SFmode);
return;
}
#endif
emovi (x, xi);
/* adjust exponent for offsets */
exp = (EMULONG) xi[E] - (EXONE - 0177);
#ifdef INFINITY
if (eisinf (x))
goto nonorm;
#endif
/* round off to nearest or even */
rndsav = rndprc;
rndprc = 24;
emdnorm (xi, 0, 0, exp, 64);
rndprc = rndsav;
#ifdef INFINITY
nonorm:
#endif
toe24 (xi, e);
}
/* Convert exploded e-type X, that has already been rounded to
float precision, to IEEE float Y. */
static void
toe24 (x, y)
UEMUSHORT *x, *y;
{
UEMUSHORT i;
UEMUSHORT *p;
#ifdef NANS
if (eiisnan (x))
{
make_nan (y, eiisneg (x), SFmode);
return;
}
#endif
p = &x[0];
#ifdef IEEE
if (! REAL_WORDS_BIG_ENDIAN)
y += 1;
#endif
#ifdef DEC
y += 1;
#endif
*y = 0; /* output high order */
if (*p++)
*y = 0x8000; /* output sign bit */
i = *p++;
/* Handle overflow cases. */
if (i >= 255)
{
#ifdef INFINITY
*y |= (UEMUSHORT) 0x7f80;
#ifdef DEC
*(--y) = 0;
#endif
#ifdef IEEE
if (! REAL_WORDS_BIG_ENDIAN)
*(--y) = 0;
else
{
++y;
*y = 0;
}
#endif
#else /* no INFINITY */
*y |= (UEMUSHORT) 0x7f7f;
#ifdef DEC
*(--y) = 0xffff;
#endif
#ifdef IEEE
if (! REAL_WORDS_BIG_ENDIAN)
*(--y) = 0xffff;
else
{
++y;
*y = 0xffff;
}
#endif
#ifdef ERANGE
errno = ERANGE;
#endif
#endif /* no INFINITY */
return;
}
if (i == 0)
{
eshift (x, 7);
}
else
{
i <<= 7;
eshift (x, 8);
}
i |= *p++ & (UEMUSHORT) 0x7f; /* *p = xi[M] */
/* High order output already has sign bit set. */
*y |= i;
#ifdef DEC
*(--y) = *p;
#endif
#ifdef IEEE
if (! REAL_WORDS_BIG_ENDIAN)
*(--y) = *p;
else
{
++y;
*y = *p;
}
#endif
}
#endif /* not C4X */
#endif /* not IBM */
/* Compare two e type numbers.
Return +1 if a > b
0 if a == b
-1 if a < b
-2 if either a or b is a NaN. */
static int
ecmp (a, b)
UEMUSHORT *a, *b;
{
UEMUSHORT ai[NI], bi[NI];
UEMUSHORT *p, *q;
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 */
}
#if 0
/* Find e-type nearest integer to X, as floor (X + 0.5). */
static void
eround (x, y)
UEMUSHORT *x, *y;
{
eadd (ehalf, x, y);
efloor (y, y);
}
#endif /* 0 */
/* Convert HOST_WIDE_INT LP to e type Y. */
static void
ltoe (lp, y)
HOST_WIDE_INT *lp;
UEMUSHORT *y;
{
UEMUSHORT yi[NI];
unsigned HOST_WIDE_INT ll;
int k;
ecleaz (yi);
if (*lp < 0)
{
/* make it positive */
ll = (unsigned HOST_WIDE_INT) (-(*lp));
yi[0] = 0xffff; /* put correct sign in the e type number */
}
else
{
ll = (unsigned HOST_WIDE_INT) (*lp);
}
/* move the long integer to yi significand area */
#if HOST_BITS_PER_WIDE_INT == 64
yi[M] = (UEMUSHORT) (ll >> 48);
yi[M + 1] = (UEMUSHORT) (ll >> 32);
yi[M + 2] = (UEMUSHORT) (ll >> 16);
yi[M + 3] = (UEMUSHORT) ll;
yi[E] = EXONE + 47; /* exponent if normalize shift count were 0 */
#else
yi[M] = (UEMUSHORT) (ll >> 16);
yi[M + 1] = (UEMUSHORT) ll;
yi[E] = EXONE + 15; /* exponent if normalize shift count were 0 */
#endif
if ((k = enormlz (yi)) > NBITS)/* normalize the significand */
ecleaz (yi); /* it was zero */
else
yi[E] -= (UEMUSHORT) k;/* subtract shift count from exponent */
emovo (yi, y); /* output the answer */
}
/* Convert unsigned HOST_WIDE_INT LP to e type Y. */
static void
ultoe (lp, y)
unsigned HOST_WIDE_INT *lp;
UEMUSHORT *y;
{
UEMUSHORT yi[NI];
unsigned HOST_WIDE_INT ll;
int k;
ecleaz (yi);
ll = *lp;
/* move the long integer to ayi significand area */
#if HOST_BITS_PER_WIDE_INT == 64
yi[M] = (UEMUSHORT) (ll >> 48);
yi[M + 1] = (UEMUSHORT) (ll >> 32);
yi[M + 2] = (UEMUSHORT) (ll >> 16);
yi[M + 3] = (UEMUSHORT) ll;
yi[E] = EXONE + 47; /* exponent if normalize shift count were 0 */
#else
yi[M] = (UEMUSHORT) (ll >> 16);
yi[M + 1] = (UEMUSHORT) ll;
yi[E] = EXONE + 15; /* exponent if normalize shift count were 0 */
#endif
if ((k = enormlz (yi)) > NBITS)/* normalize the significand */
ecleaz (yi); /* it was zero */
else
yi[E] -= (UEMUSHORT) k; /* subtract shift count from exponent */
emovo (yi, y); /* output the answer */
}
/* Find signed HOST_WIDE_INT integer I and floating point fractional
part FRAC of e-type (packed internal format) floating point input X.
The integer output I has the sign of the input, except that
positive overflow is permitted if FIXUNS_TRUNC_LIKE_FIX_TRUNC.
The output e-type fraction FRAC is the positive fractional
part of abs (X). */
static void
eifrac (x, i, frac)
UEMUSHORT *x;
HOST_WIDE_INT *i;
UEMUSHORT *frac;
{
UEMUSHORT xi[NI];
int j, k;
unsigned HOST_WIDE_INT ll;
emovi (x, xi);
k = (int) xi[E] - (EXONE - 1);
if (k <= 0)
{
/* if exponent <= 0, integer = 0 and real output is fraction */
*i = 0L;
emovo (xi, frac);
return;
}
if (k > (HOST_BITS_PER_WIDE_INT - 1))
{
/* long integer overflow: output large integer
and correct fraction */
if (xi[0])
*i = ((unsigned HOST_WIDE_INT) 1) << (HOST_BITS_PER_WIDE_INT - 1);
else
{
#ifdef FIXUNS_TRUNC_LIKE_FIX_TRUNC
/* In this case, let it overflow and convert as if unsigned. */
euifrac (x, &ll, frac);
*i = (HOST_WIDE_INT) ll;
return;
#else
/* In other cases, return the largest positive integer. */
*i = (((unsigned HOST_WIDE_INT) 1) << (HOST_BITS_PER_WIDE_INT - 1)) - 1;
#endif
}
eshift (xi, k);
if (extra_warnings)
warning ("overflow on truncation to integer");
}
else if (k > 16)
{
/* Shift more than 16 bits: first shift up k-16 mod 16,
then shift up by 16's. */
j = k - ((k >> 4) << 4);
eshift (xi, j);
ll = xi[M];
k -= j;
do
{
eshup6 (xi);
ll = (ll << 16) | xi[M];
}
while ((k -= 16) > 0);
*i = ll;
if (xi[0])
*i = -(*i);
}
else
{
/* shift not more than 16 bits */
eshift (xi, k);
*i = (HOST_WIDE_INT) xi[M] & 0xffff;
if (xi[0])
*i = -(*i);
}
xi[0] = 0;
xi[E] = EXONE - 1;
xi[M] = 0;
if ((k = enormlz (xi)) > NBITS)
ecleaz (xi);
else
xi[E] -= (UEMUSHORT) k;
emovo (xi, frac);
}
/* Find unsigned HOST_WIDE_INT integer I and floating point fractional part
FRAC of e-type X. A negative input yields integer output = 0 but
correct fraction. */
static void
euifrac (x, i, frac)
UEMUSHORT *x;
unsigned HOST_WIDE_INT *i;
UEMUSHORT *frac;
{
unsigned HOST_WIDE_INT ll;
UEMUSHORT xi[NI];
int j, k;
emovi (x, xi);
k = (int) xi[E] - (EXONE - 1);
if (k <= 0)
{
/* if exponent <= 0, integer = 0 and argument is fraction */
*i = 0L;
emovo (xi, frac);
return;
}
if (k > HOST_BITS_PER_WIDE_INT)
{
/* Long integer overflow: output large integer
and correct fraction.
Note, the BSD MicroVAX compiler says that ~(0UL)
is a syntax error. */
*i = ~(0L);
eshift (xi, k);
if (extra_warnings)
warning ("overflow on truncation to unsigned integer");
}
else if (k > 16)
{
/* Shift more than 16 bits: first shift up k-16 mod 16,
then shift up by 16's. */
j = k - ((k >> 4) << 4);
eshift (xi, j);
ll = xi[M];
k -= j;
do
{
eshup6 (xi);
ll = (ll << 16) | xi[M];
}
while ((k -= 16) > 0);
*i = ll;
}
else
{
/* shift not more than 16 bits */
eshift (xi, k);
*i = (HOST_WIDE_INT) xi[M] & 0xffff;
}
if (xi[0]) /* A negative value yields unsigned integer 0. */
*i = 0L;
xi[0] = 0;
xi[E] = EXONE - 1;
xi[M] = 0;
if ((k = enormlz (xi)) > NBITS)
ecleaz (xi);
else
xi[E] -= (UEMUSHORT) k;
emovo (xi, frac);
}
/* Shift the significand of exploded e-type X up or down by SC bits. */
static int
eshift (x, sc)
UEMUSHORT *x;
int sc;
{
UEMUSHORT lost;
UEMUSHORT *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);
}
/* Shift normalize the significand area of exploded e-type X.
Return the shift count (up = positive). */
static int
enormlz (x)
UEMUSHORT x[];
{
UEMUSHORT *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)
{
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);
}
/* Powers of ten used in decimal <-> binary conversions. */
#define NTEN 12
#define MAXP 4096
#if MAX_LONG_DOUBLE_TYPE_SIZE == 128 && (INTEL_EXTENDED_IEEE_FORMAT == 0)
static UEMUSHORT 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 UEMUSHORT 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
/* LONG_DOUBLE_TYPE_SIZE is other than 128 */
static UEMUSHORT 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 UEMUSHORT 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
#if 0
/* Convert float value X to ASCII string STRING with NDIG digits after
the decimal point. */
static void
e24toasc (x, string, ndigs)
UEMUSHORT x[];
char *string;
int ndigs;
{
UEMUSHORT w[NI];
e24toe (x, w);
etoasc (w, string, ndigs);
}
/* Convert double value X to ASCII string STRING with NDIG digits after
the decimal point. */
static void
e53toasc (x, string, ndigs)
UEMUSHORT x[];
char *string;
int ndigs;
{
UEMUSHORT w[NI];
e53toe (x, w);
etoasc (w, string, ndigs);
}
/* Convert double extended value X to ASCII string STRING with NDIG digits
after the decimal point. */
static void
e64toasc (x, string, ndigs)
UEMUSHORT x[];
char *string;
int ndigs;
{
UEMUSHORT w[NI];
e64toe (x, w);
etoasc (w, string, ndigs);
}
/* Convert 128-bit long double value X to ASCII string STRING with NDIG digits
after the decimal point. */
static void
e113toasc (x, string, ndigs)
UEMUSHORT x[];
char *string;
int ndigs;
{
UEMUSHORT w[NI];
e113toe (x, w);
etoasc (w, string, ndigs);
}
#endif /* 0 */
/* Convert e-type X to ASCII string STRING with NDIGS digits after
the decimal point. */
static char wstring[80]; /* working storage for ASCII output */
static void
etoasc (x, string, ndigs)
UEMUSHORT x[];
char *string;
int ndigs;
{
EMUSHORT digit;
UEMUSHORT y[NI], t[NI], u[NI], w[NI];
UEMUSHORT *p, *r, *ten;
UEMUSHORT sign;
int i, j, k, expon, rndsav;
char *s, *ss;
UEMUSHORT m;
rndsav = rndprc;
ss = string;
s = wstring;
*ss = '\0';
*s = '\0';
#ifdef NANS
if (eisnan (x))
{
sprintf (wstring, " NaN ");
goto bxit;
}
#endif
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; /* valid all zeros */
}
tnzro:
/* Test for infinity. */
if (y[NE - 1] == 0x7fff)
{
if (sign)
sprintf (wstring, " -Infinity ");
else
sprintf (wstring, " Infinity ");
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 (wstring, "NaN");
goto bxit;
}
/* Compare to 1.0 */
i = ecmp (eone, y);
if (i == 0)
goto isone;
if (i == -2)
abort ();
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);
efloor (t, w);
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];
/* An unordered compare result shouldn't happen here. */
while (ecmp (ten, u) <= 0)
{
if (ecmp (p, u) <= 0)
{
ediv (p, u, u);
emul (p, t, t);
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);
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);
}
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);
emul (r, t, t);
expon += k;
}
k /= 2;
if (k == 0)
break;
p += NE;
r += NE;
}
ediv (t, eone, t);
}
isone:
/* Find the first (leading) digit. */
emovi (t, w);
emovz (w, t);
emovi (y, w);
emovz (w, y);
eiremain (t, y);
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);
digit = equot[NI - 1];
expon -= 1;
}
s = wstring;
if (sign)
*s++ = '-';
else
*s++ = ' ';
/* Examine number of digits requested by caller. */
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;
}
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);
*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);
if (ecmp (t, ezero) != 0)
goto roun; /* round to nearest */
#ifndef C4X
if ((*(s - 1) & 1) == 0)
goto doexp; /* round to even */
#endif
}
/* Round up and propagate carry-outs */
roun:
--s;
k = *s & CHARMASK;
/* Carry out to most significant digit? */
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:
/*
if (expon >= 0)
sprintf (ss, "e+%d", expon);
else
sprintf (ss, "e%d", expon);
*/
sprintf (ss, "e%d", expon);
bxit:
rndprc = rndsav;
/* copy out the working string */
s = string;
ss = wstring;
while (*ss == ' ') /* strip possible leading space */
++ss;
while ((*s++ = *ss++) != '\0')
;
}
/* Convert ASCII string to floating point.
Numeric input is a free format decimal number of any length, with
or without decimal point. Entering E after the number followed by an
integer number causes the second number to be interpreted as a power of
10 to be multiplied by the first number (i.e., "scientific" notation). */
/* Convert ASCII string S to single precision float value Y. */
static void
asctoe24 (s, y)
const char *s;
UEMUSHORT *y;
{
asctoeg (s, y, 24);
}
/* Convert ASCII string S to double precision value Y. */
static void
asctoe53 (s, y)
const char *s;
UEMUSHORT *y;
{
#if defined(DEC) || defined(IBM)
asctoeg (s, y, 56);
#else
#if defined(C4X)
asctoeg (s, y, 32);
#else
asctoeg (s, y, 53);
#endif
#endif
}
/* Convert ASCII string S to double extended value Y. */
static void
asctoe64 (s, y)
const char *s;
UEMUSHORT *y;
{
asctoeg (s, y, 64);
}
#if (INTEL_EXTENDED_IEEE_FORMAT == 0)
/* Convert ASCII string S to 128-bit long double Y. */
static void
asctoe113 (s, y)
const char *s;
UEMUSHORT *y;
{
asctoeg (s, y, 113);
}
#endif
/* Convert ASCII string S to e type Y. */
static void
asctoe (s, y)
const char *s;
UEMUSHORT *y;
{
asctoeg (s, y, NBITS);
}
/* Convert ASCII string SS to e type Y, with a specified rounding precision
of OPREC bits. BASE is 16 for C99 hexadecimal floating constants. */
static void
asctoeg (ss, y, oprec)
const char *ss;
UEMUSHORT *y;
int oprec;
{
UEMUSHORT yy[NI], xt[NI], tt[NI];
int esign, decflg, sgnflg, nexp, exp, prec, lost;
int i, k, trail, c, rndsav;
EMULONG lexp;
UEMUSHORT nsign;
char *sp, *s, *lstr;
int base = 10;
/* Copy the input string. */
lstr = (char *) alloca (strlen (ss) + 1);
while (*ss == ' ') /* skip leading spaces */
++ss;
sp = lstr;
while ((*sp++ = *ss++) != '\0')
;
s = lstr;
if (s[0] == '0' && (s[1] == 'x' || s[1] == 'X'))
{
base = 16;
s += 2;
}
rndsav = rndprc;
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 = hex_value(*s);
if ((k >= 0) && (k < base))
{
/* 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 (ISDIGIT (*sp) || (base == 16 && ISXDIGIT (*sp)))
++sp;
/* Check for syntax error */
c = *sp & CHARMASK;
if ((base != 10 || ((c != 'e') && (c != 'E')))
&& (base != 16 || ((c != 'p') && (c != 'P')))
&& (c != '\0')
&& (c != '\n') && (c != '\r') && (c != ' ')
&& (c != ','))
goto unexpected_char_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 (base == 16)
{
if (decflg)
nexp += 4; /* count digits after decimal point */
eshup1 (yy); /* multiply current number by 16 */
eshup1 (yy);
eshup1 (yy);
eshup1 (yy);
}
else
{
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);
}
/* Insert the current digit. */
ecleaz (xt);
xt[NI - 2] = (UEMUSHORT) k;
eaddm (xt, yy);
}
else
{
/* Mark any lost non-zero digit. */
lost |= k;
/* Count lost digits before the decimal point. */
if (decflg == 0)
{
if (base == 10)
nexp -= 1;
else
nexp -= 4;
}
}
prec += 1;
goto donchr;
}
switch (*s)
{
case 'z':
break;
case 'E':
case 'e':
case 'P':
case 'p':
goto expnt;
case '.': /* decimal point */
if (decflg)
goto unexpected_char_error;
++decflg;
break;
case '-':
nsign = 0xffff;
if (sgnflg)
goto unexpected_char_error;
++sgnflg;
break;
case '+':
if (sgnflg)
goto unexpected_char_error;
++sgnflg;
break;
case ',':
case ' ':
case '\0':
case '\n':
case '\r':
goto daldone;
case 'i':
case 'I':
goto infinite;
default:
unexpected_char_error:
#ifdef NANS
einan (yy);
#else
mtherr ("asctoe", DOMAIN);
eclear (yy);
#endif
goto aexit;
}
donchr:
++s;
goto nxtcom;
/* Exponent interpretation */
expnt:
/* 0.0eXXX is zero, regardless of XXX. Check for the 0.0. */
for (k = 0; k < NI; k++)
{
if (yy[k] != 0)
goto read_expnt;
}
goto aexit;
read_expnt:
esign = 1;
exp = 0;
++s;
/* check for + or - */
if (*s == '-')
{
esign = -1;
++s;
}
if (*s == '+')
++s;
while (ISDIGIT (*s))
{
exp *= 10;
exp += *s++ - '0';
if (exp > 999999)
break;
}
if (esign < 0)
exp = -exp;
if ((exp > MAXDECEXP) && (base == 10))
{
infinite:
ecleaz (yy);
yy[E] = 0x7fff; /* infinity */
goto aexit;
}
if ((exp < MINDECEXP) && (base == 10))
{
zero:
ecleaz (yy);
goto aexit;
}
daldone:
if (base == 16)
{
/* Base 16 hexadecimal floating constant. */
if ((k = enormlz (yy)) > NBITS)
{
ecleaz (yy);
goto aexit;
}
/* Adjust the exponent. NEXP is the number of hex digits,
EXP is a power of 2. */
lexp = (EXONE - 1 + NBITS) - k + yy[E] + exp - nexp;
if (lexp > 0x7fff)
goto infinite;
if (lexp < 0)
goto zero;
yy[E] = lexp;
goto expdon;
}
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);
lost = 0;
/* 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);
lexp += EXONE;
nexp -= 4096;
}
}
emov (eone, xt);
exp = 1;
i = NTEN;
do
{
if (exp & nexp)
emul (etens[i], xt, xt);
i--;
exp = exp + exp;
}
while (exp <= MAXP);
emovi (xt, tt);
if (esign < 0)
{
lexp -= tt[E];
k = edivm (tt, yy);
lexp += EXONE;
}
else
{
lexp += tt[E];
k = emulm (tt, yy);
lexp -= EXONE - 1;
}
lost = k;
expdon:
/* Round and convert directly to the destination type */
if (oprec == 53)
lexp -= EXONE - 0x3ff;
#ifdef C4X
else if (oprec == 24 || oprec == 32)
lexp -= (EXONE - 0x7f);
#else
#ifdef IBM
else if (oprec == 24 || oprec == 56)
lexp -= EXONE - (0x41 << 2);
#else
else if (oprec == 24)
lexp -= EXONE - 0177;
#endif /* IBM */
#endif /* C4X */
#ifdef DEC
else if (oprec == 56)
lexp -= EXONE - 0201;
#endif
rndprc = oprec;
emdnorm (yy, lost, 0, lexp, 64);
aexit:
rndprc = rndsav;
yy[0] = nsign;
switch (oprec)
{
#ifdef DEC
case 56:
todec (yy, y); /* see etodec.c */
break;
#endif
#ifdef IBM
case 56:
toibm (yy, y, DFmode);
break;
#endif
#ifdef C4X
case 32:
toc4x (yy, y, HFmode);
break;
#endif
case 53:
toe53 (yy, y);
break;
case 24:
toe24 (yy, y);
break;
case 64:
toe64 (yy, y);
break;
case 113:
toe113 (yy, y);
break;
case NBITS:
emovo (yy, y);
break;
}
}
/* Return Y = largest integer not greater than X (truncated toward minus
infinity). */
static const UEMUSHORT bmask[] =
{
0xffff,
0xfffe,
0xfffc,
0xfff8,
0xfff0,
0xffe0,
0xffc0,
0xff80,
0xff00,
0xfe00,
0xfc00,
0xf800,
0xf000,
0xe000,
0xc000,
0x8000,
0x0000,
};
static void
efloor (x, y)
UEMUSHORT x[], y[];
{
UEMUSHORT *p;
int e, expon, i;
UEMUSHORT 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 ((UEMUSHORT) expon & (UEMUSHORT) 0x8000)
{
for (i = 0; i < NE - 1; i++)
{
if (f[i] != y[i])
{
esub (eone, y, y);
break;
}
}
}
}
#if 0
/* Return S and EXP such that S * 2^EXP = X and .5 <= S < 1.
For example, 1.1 = 0.55 * 2^1. */
static void
efrexp (x, exp, s)
UEMUSHORT x[];
int *exp;
UEMUSHORT s[];
{
UEMUSHORT xi[NI];
EMULONG li;
emovi (x, xi);
/* Handle denormalized numbers properly using long integer exponent. */
li = (EMULONG) ((EMUSHORT) xi[1]);
if (li == 0)
{
li -= enormlz (xi);
}
xi[1] = 0x3ffe;
emovo (xi, s);
*exp = (int) (li - 0x3ffe);
}
#endif
/* Return e type Y = X * 2^PWR2. */
static void
eldexp (x, pwr2, y)
UEMUSHORT x[];
int pwr2;
UEMUSHORT y[];
{
UEMUSHORT xi[NI];
EMULONG li;
int i;
emovi (x, xi);
li = xi[1];
li += pwr2;
i = 0;
emdnorm (xi, i, i, li, 64);
emovo (xi, y);
}
#if 0
/* C = remainder after dividing B by A, all e type values.
Least significant integer quotient bits left in EQUOT. */
static void
eremain (a, b, c)
UEMUSHORT a[], b[], c[];
{
UEMUSHORT den[NI], num[NI];
#ifdef NANS
if (eisinf (b)
|| (ecmp (a, ezero) == 0)
|| eisnan (a)
|| eisnan (b))
{
enan (c, 0);
return;
}
#endif
if (ecmp (a, ezero) == 0)
{
mtherr ("eremain", SING);
eclear (c);
return;
}
emovi (a, den);
emovi (b, num);
eiremain (den, num);
/* Sign of remainder = sign of quotient */
if (a[0] == b[0])
num[0] = 0;
else
num[0] = 0xffff;
emovo (num, c);
}
#endif
/* Return quotient of exploded e-types NUM / DEN in EQUOT,
remainder in NUM. */
static void
eiremain (den, num)
UEMUSHORT den[], num[];
{
EMULONG ld, ln;
UEMUSHORT j;
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);
}
/* Report an error condition CODE encountered in function NAME.
Mnemonic Value Significance
DOMAIN 1 argument domain error
SING 2 function singularity
OVERFLOW 3 overflow range error
UNDERFLOW 4 underflow range error
TLOSS 5 total loss of precision
PLOSS 6 partial loss of precision
INVALID 7 NaN - producing operation
EDOM 33 Unix domain error code
ERANGE 34 Unix range error code
The order of appearance of the following messages is bound to the
error codes defined above. */
int merror = 0;
extern int merror;
static void
mtherr (name, code)
const char *name;
int code;
{
/* The string passed by the calling program is supposed to be the
name of the function in which the error occurred.
The code argument selects which error message string will be printed. */
if (strcmp (name, "esub") == 0)
name = "subtraction";
else if (strcmp (name, "ediv") == 0)
name = "division";
else if (strcmp (name, "emul") == 0)
name = "multiplication";
else if (strcmp (name, "enormlz") == 0)
name = "normalization";
else if (strcmp (name, "etoasc") == 0)
name = "conversion to text";
else if (strcmp (name, "asctoe") == 0)
name = "parsing";
else if (strcmp (name, "eremain") == 0)
name = "modulus";
else if (strcmp (name, "esqrt") == 0)
name = "square root";
if (extra_warnings)
{
switch (code)
{
case DOMAIN: warning ("%s: argument domain error" , name); break;
case SING: warning ("%s: function singularity" , name); break;
case OVERFLOW: warning ("%s: overflow range error" , name); break;
case UNDERFLOW: warning ("%s: underflow range error" , name); break;
case TLOSS: warning ("%s: total loss of precision" , name); break;
case PLOSS: warning ("%s: partial loss of precision", name); break;
case INVALID: warning ("%s: NaN - producing operation", name); break;
default: abort ();
}
}
/* Set global error message word */
merror = code + 1;
}
#ifdef DEC
/* Convert DEC double precision D to e type E. */
static void
dectoe (d, e)
UEMUSHORT *d;
UEMUSHORT *e;
{
UEMUSHORT y[NI];
UEMUSHORT r, *p;
ecleaz (y); /* start with a zero */
p = y; /* point to our number */
r = *d; /* get DEC exponent word */
if (*d & (unsigned int) 0x8000)
*p = 0xffff; /* fill in our sign */
++p; /* bump pointer to our exponent word */
r &= 0x7fff; /* strip the sign bit */
if (r == 0) /* answer = 0 if high order DEC word = 0 */
goto done;
r >>= 7; /* shift exponent word down 7 bits */
r += EXONE - 0201; /* subtract DEC exponent offset */
/* add our e type exponent offset */
*p++ = r; /* to form our exponent */
r = *d++; /* now do the high order mantissa */
r &= 0177; /* strip off the DEC exponent and sign bits */
r |= 0200; /* the DEC understood high order mantissa bit */
*p++ = r; /* put result in our high guard word */
*p++ = *d++; /* fill in the rest of our mantissa */
*p++ = *d++;
*p = *d;
eshdn8 (y); /* shift our mantissa down 8 bits */
done:
emovo (y, e);
}
/* Convert e type X to DEC double precision D. */
static void
etodec (x, d)
UEMUSHORT *x, *d;
{
UEMUSHORT xi[NI];
EMULONG exp;
int rndsav;
emovi (x, xi);
/* Adjust exponent for offsets. */
exp = (EMULONG) xi[E] - (EXONE - 0201);
/* Round off to nearest or even. */
rndsav = rndprc;
rndprc = 56;
emdnorm (xi, 0, 0, exp, 64);
rndprc = rndsav;
todec (xi, d);
}
/* Convert exploded e-type X, that has already been rounded to
56-bit precision, to DEC format double Y. */
static void
todec (x, y)
UEMUSHORT *x, *y;
{
UEMUSHORT i;
UEMUSHORT *p;
p = x;
*y = 0;
if (*p++)
*y = 0100000;
i = *p++;
if (i == 0)
{
*y++ = 0;
*y++ = 0;
*y++ = 0;
*y++ = 0;
return;
}
if (i > 0377)
{
*y++ |= 077777;
*y++ = 0xffff;
*y++ = 0xffff;
*y++ = 0xffff;
#ifdef ERANGE
errno = ERANGE;
#endif
return;
}
i &= 0377;
i <<= 7;
eshup8 (x);
x[M] &= 0177;
i |= x[M];
*y++ |= i;
*y++ = x[M + 1];
*y++ = x[M + 2];
*y++ = x[M + 3];
}
#endif /* DEC */
#ifdef IBM
/* Convert IBM single/double precision to e type. */
static void
ibmtoe (d, e, mode)
UEMUSHORT *d;
UEMUSHORT *e;
enum machine_mode mode;
{
UEMUSHORT y[NI];
UEMUSHORT r, *p;
ecleaz (y); /* start with a zero */
p = y; /* point to our number */
r = *d; /* get IBM exponent word */
if (*d & (unsigned int) 0x8000)
*p = 0xffff; /* fill in our sign */
++p; /* bump pointer to our exponent word */
r &= 0x7f00; /* strip the sign bit */
r >>= 6; /* shift exponent word down 6 bits */
/* in fact shift by 8 right and 2 left */
r += EXONE - (0x41 << 2); /* subtract IBM exponent offset */
/* add our e type exponent offset */
*p++ = r; /* to form our exponent */
*p++ = *d++ & 0xff; /* now do the high order mantissa */
/* strip off the IBM exponent and sign bits */
if (mode != SFmode) /* there are only 2 words in SFmode */
{
*p++ = *d++; /* fill in the rest of our mantissa */
*p++ = *d++;
}
*p = *d;
if (y[M] == 0 && y[M+1] == 0 && y[M+2] == 0 && y[M+3] == 0)
y[0] = y[E] = 0;
else
y[E] -= 5 + enormlz (y); /* now normalise the mantissa */
/* handle change in RADIX */
emovo (y, e);
}
/* Convert e type to IBM single/double precision. */
static void
etoibm (x, d, mode)
UEMUSHORT *x, *d;
enum machine_mode mode;
{
UEMUSHORT xi[NI];
EMULONG exp;
int rndsav;
emovi (x, xi);
exp = (EMULONG) xi[E] - (EXONE - (0x41 << 2)); /* adjust exponent for offsets */
/* round off to nearest or even */
rndsav = rndprc;
rndprc = 56;
emdnorm (xi, 0, 0, exp, 64);
rndprc = rndsav;
toibm (xi, d, mode);
}
static void
toibm (x, y, mode)
UEMUSHORT *x, *y;
enum machine_mode mode;
{
UEMUSHORT i;
UEMUSHORT *p;
int r;
p = x;
*y = 0;
if (*p++)
*y = 0x8000;
i = *p++;
if (i == 0)
{
*y++ = 0;
*y++ = 0;
if (mode != SFmode)
{
*y++ = 0;
*y++ = 0;
}
return;
}
r = i & 0x3;
i >>= 2;
if (i > 0x7f)
{
*y++ |= 0x7fff;
*y++ = 0xffff;
if (mode != SFmode)
{
*y++ = 0xffff;
*y++ = 0xffff;
}
#ifdef ERANGE
errno = ERANGE;
#endif
return;
}
i &= 0x7f;
*y |= (i << 8);
eshift (x, r + 5);
*y++ |= x[M];
*y++ = x[M + 1];
if (mode != SFmode)
{
*y++ = x[M + 2];
*y++ = x[M + 3];
}
}
#endif /* IBM */
#ifdef C4X
/* Convert C4X single/double precision to e type. */
static void
c4xtoe (d, e, mode)
UEMUSHORT *d;
UEMUSHORT *e;
enum machine_mode mode;
{
UEMUSHORT y[NI];
int r;
int isnegative;
int size;
int i;
int carry;
/* Short-circuit the zero case. */
if ((d[0] == 0x8000)
&& (d[1] == 0x0000)
&& ((mode == QFmode) || ((d[2] == 0x0000) && (d[3] == 0x0000))))
{
e[0] = 0;
e[1] = 0;
e[2] = 0;
e[3] = 0;
e[4] = 0;
e[5] = 0;
return;
}
ecleaz (y); /* start with a zero */
r = d[0]; /* get sign/exponent part */
if (r & (unsigned int) 0x0080)
{
y[0] = 0xffff; /* fill in our sign */
isnegative = TRUE;
}
else
{
isnegative = FALSE;
}
r >>= 8; /* Shift exponent word down 8 bits. */
if (r & 0x80) /* Make the exponent negative if it is. */
{
r = r | (~0 & ~0xff);
}
if (isnegative)
{
/* Now do the high order mantissa. We don't "or" on the high bit
because it is 2 (not 1) and is handled a little differently
below. */
y[M] = d[0] & 0x7f;
y[M+1] = d[1];
if (mode != QFmode) /* There are only 2 words in QFmode. */
{
y[M+2] = d[2]; /* Fill in the rest of our mantissa. */
y[M+3] = d[3];
size = 4;
}
else
{
size = 2;
}
eshift(y, -8);
/* Now do the two's complement on the data. */
carry = 1; /* Initially add 1 for the two's complement. */
for (i=size + M; i > M; i--)
{
if (carry && (y[i] == 0x0000))
{
/* We overflowed into the next word, carry is the same. */
y[i] = carry ? 0x0000 : 0xffff;
}
else
{
/* No overflow, just invert and add carry. */
y[i] = ((~y[i]) + carry) & 0xffff;
carry = 0;
}
}
if (carry)
{
eshift(y, -1);
y[M+1] |= 0x8000;
r++;
}
y[1] = r + EXONE;
}
else
{
/* Add our e type exponent offset to form our exponent. */
r += EXONE;
y[1] = r;
/* Now do the high order mantissa strip off the exponent and sign
bits and add the high 1 bit. */
y[M] = (d[0] & 0x7f) | 0x80;
y[M+1] = d[1];
if (mode != QFmode) /* There are only 2 words in QFmode. */
{
y[M+2] = d[2]; /* Fill in the rest of our mantissa. */
y[M+3] = d[3];
}
eshift(y, -8);
}
emovo (y, e);
}
/* Convert e type to C4X single/double precision. */
static void
etoc4x (x, d, mode)
UEMUSHORT *x, *d;
enum machine_mode mode;
{
UEMUSHORT xi[NI];
EMULONG exp;
int rndsav;
emovi (x, xi);
/* Adjust exponent for offsets. */
exp = (EMULONG) xi[E] - (EXONE - 0x7f);
/* Round off to nearest or even. */
rndsav = rndprc;
rndprc = mode == QFmode ? 24 : 32;
emdnorm (xi, 0, 0, exp, 64);
rndprc = rndsav;
toc4x (xi, d, mode);
}
static void
toc4x (x, y, mode)
UEMUSHORT *x, *y;
enum machine_mode mode;
{
int i;
int v;
int carry;
/* Short-circuit the zero case */
if ((x[0] == 0) /* Zero exponent and sign */
&& (x[1] == 0)
&& (x[M] == 0) /* The rest is for zero mantissa */
&& (x[M+1] == 0)
/* Only check for double if necessary */
&& ((mode == QFmode) || ((x[M+2] == 0) && (x[M+3] == 0))))
{
/* We have a zero. Put it into the output and return. */
*y++ = 0x8000;
*y++ = 0x0000;
if (mode != QFmode)
{
*y++ = 0x0000;
*y++ = 0x0000;
}
return;
}
*y = 0;
/* Negative number require a two's complement conversion of the
mantissa. */
if (x[0])
{
*y = 0x0080;
i = ((int) x[1]) - 0x7f;
/* Now add 1 to the inverted data to do the two's complement. */
if (mode != QFmode)
v = 4 + M;
else
v = 2 + M;
carry = 1;
while (v > M)
{
if (x[v] == 0x0000)
{
x[v] = carry ? 0x0000 : 0xffff;
}
else
{
x[v] = ((~x[v]) + carry) & 0xffff;
carry = 0;
}
v--;
}
/* The following is a special case. The C4X negative float requires
a zero in the high bit (because the format is (2 - x) x 2^m), so
if a one is in that bit, we have to shift left one to get rid
of it. This only occurs if the number is -1 x 2^m. */
if (x[M+1] & 0x8000)
{
/* This is the case of -1 x 2^m, we have to rid ourselves of the
high sign bit and shift the exponent. */
eshift(x, 1);
i--;
}
}
else
{
i = ((int) x[1]) - 0x7f;
}
if ((i < -128) || (i > 127))
{
y[0] |= 0xff7f;
y[1] = 0xffff;
if (mode != QFmode)
{
y[2] = 0xffff;
y[3] = 0xffff;
}
#ifdef ERANGE
errno = ERANGE;
#endif
return;
}
y[0] |= ((i & 0xff) << 8);
eshift (x, 8);
y[0] |= x[M] & 0x7f;
y[1] = x[M + 1];
if (mode != QFmode)
{
y[2] = x[M + 2];
y[3] = x[M + 3];
}
}
#endif /* C4X */
/* Output a binary NaN bit pattern in the target machine's format. */
/* If special NaN bit patterns are required, define them in tm.h
as arrays of unsigned 16-bit shorts. Otherwise, use the default
patterns here. */
#ifdef TFMODE_NAN
TFMODE_NAN;
#else
#ifdef IEEE
UEMUSHORT TFbignan[8] =
{0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff};
UEMUSHORT TFlittlenan[8] = {0, 0, 0, 0, 0, 0, 0x8000, 0xffff};
#endif
#endif
#ifdef XFMODE_NAN
XFMODE_NAN;
#else
#ifdef IEEE
UEMUSHORT XFbignan[6] =
{0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff};
UEMUSHORT XFlittlenan[6] = {0, 0, 0, 0xc000, 0xffff, 0};
#endif
#endif
#ifdef DFMODE_NAN
DFMODE_NAN;
#else
#ifdef IEEE
UEMUSHORT DFbignan[4] = {0x7fff, 0xffff, 0xffff, 0xffff};
UEMUSHORT DFlittlenan[4] = {0, 0, 0, 0xfff8};
#endif
#endif
#ifdef SFMODE_NAN
SFMODE_NAN;
#else
#ifdef IEEE
UEMUSHORT SFbignan[2] = {0x7fff, 0xffff};
UEMUSHORT SFlittlenan[2] = {0, 0xffc0};
#endif
#endif
#ifdef NANS
static void
make_nan (nan, sign, mode)
UEMUSHORT *nan;
int sign;
enum machine_mode mode;
{
int n;
UEMUSHORT *p;
switch (mode)
{
/* Possibly the `reserved operand' patterns on a VAX can be
used like NaN's, but probably not in the same way as IEEE. */
#if !defined(DEC) && !defined(IBM) && !defined(C4X)
case TFmode:
#if (INTEL_EXTENDED_IEEE_FORMAT == 0)
n = 8;
if (REAL_WORDS_BIG_ENDIAN)
p = TFbignan;
else
p = TFlittlenan;
break;
#endif
/* FALLTHRU */
case XFmode:
n = 6;
if (REAL_WORDS_BIG_ENDIAN)
p = XFbignan;
else
p = XFlittlenan;
break;
case DFmode:
n = 4;
if (REAL_WORDS_BIG_ENDIAN)
p = DFbignan;
else
p = DFlittlenan;
break;
case SFmode:
case HFmode:
n = 2;
if (REAL_WORDS_BIG_ENDIAN)
p = SFbignan;
else
p = SFlittlenan;
break;
#endif
default:
abort ();
}
if (REAL_WORDS_BIG_ENDIAN)
*nan++ = (sign << 15) | (*p++ & 0x7fff);
while (--n != 0)
*nan++ = *p++;
if (! REAL_WORDS_BIG_ENDIAN)
*nan = (sign << 15) | (*p & 0x7fff);
}
#endif /* NANS */
/* This is the inverse of the function `etarsingle' invoked by
REAL_VALUE_TO_TARGET_SINGLE. */
REAL_VALUE_TYPE
ereal_unto_float (f)
long f;
{
REAL_VALUE_TYPE r;
UEMUSHORT s[2];
UEMUSHORT e[NE];
/* Convert 32 bit integer to array of 16 bit pieces in target machine order.
This is the inverse operation to what the function `endian' does. */
if (REAL_WORDS_BIG_ENDIAN)
{
s[0] = (UEMUSHORT) (f >> 16);
s[1] = (UEMUSHORT) f;
}
else
{
s[0] = (UEMUSHORT) f;
s[1] = (UEMUSHORT) (f >> 16);
}
/* Convert and promote the target float to E-type. */
e24toe (s, e);
/* Output E-type to REAL_VALUE_TYPE. */
PUT_REAL (e, &r);
return r;
}
/* This is the inverse of the function `etardouble' invoked by
REAL_VALUE_TO_TARGET_DOUBLE. */
REAL_VALUE_TYPE
ereal_unto_double (d)
long d[];
{
REAL_VALUE_TYPE r;
UEMUSHORT s[4];
UEMUSHORT e[NE];
/* Convert array of HOST_WIDE_INT to equivalent array of 16-bit pieces. */
if (REAL_WORDS_BIG_ENDIAN)
{
s[0] = (UEMUSHORT) (d[0] >> 16);
s[1] = (UEMUSHORT) d[0];
s[2] = (UEMUSHORT) (d[1] >> 16);
s[3] = (UEMUSHORT) d[1];
}
else
{
/* Target float words are little-endian. */
s[0] = (UEMUSHORT) d[0];
s[1] = (UEMUSHORT) (d[0] >> 16);
s[2] = (UEMUSHORT) d[1];
s[3] = (UEMUSHORT) (d[1] >> 16);
}
/* Convert target double to E-type. */
e53toe (s, e);
/* Output E-type to REAL_VALUE_TYPE. */
PUT_REAL (e, &r);
return r;
}
/* Convert an SFmode target `float' value to a REAL_VALUE_TYPE.
This is somewhat like ereal_unto_float, but the input types
for these are different. */
REAL_VALUE_TYPE
ereal_from_float (f)
HOST_WIDE_INT f;
{
REAL_VALUE_TYPE r;
UEMUSHORT s[2];
UEMUSHORT e[NE];
/* Convert 32 bit integer to array of 16 bit pieces in target machine order.
This is the inverse operation to what the function `endian' does. */
if (REAL_WORDS_BIG_ENDIAN)
{
s[0] = (UEMUSHORT) (f >> 16);
s[1] = (UEMUSHORT) f;
}
else
{
s[0] = (UEMUSHORT) f;
s[1] = (UEMUSHORT) (f >> 16);
}
/* Convert and promote the target float to E-type. */
e24toe (s, e);
/* Output E-type to REAL_VALUE_TYPE. */
PUT_REAL (e, &r);
return r;
}
/* Convert a DFmode target `double' value to a REAL_VALUE_TYPE.
This is somewhat like ereal_unto_double, but the input types
for these are different.
The DFmode is stored as an array of HOST_WIDE_INT in the target's
data format, with no holes in the bit packing. The first element
of the input array holds the bits that would come first in the
target computer's memory. */
REAL_VALUE_TYPE
ereal_from_double (d)
HOST_WIDE_INT d[];
{
REAL_VALUE_TYPE r;
UEMUSHORT s[4];
UEMUSHORT e[NE];
/* Convert array of HOST_WIDE_INT to equivalent array of 16-bit pieces. */
if (REAL_WORDS_BIG_ENDIAN)
{
#if HOST_BITS_PER_WIDE_INT == 32
s[0] = (UEMUSHORT) (d[0] >> 16);
s[1] = (UEMUSHORT) d[0];
s[2] = (UEMUSHORT) (d[1] >> 16);
s[3] = (UEMUSHORT) d[1];
#else
/* In this case the entire target double is contained in the
first array element. The second element of the input is
ignored. */
s[0] = (UEMUSHORT) (d[0] >> 48);
s[1] = (UEMUSHORT) (d[0] >> 32);
s[2] = (UEMUSHORT) (d[0] >> 16);
s[3] = (UEMUSHORT) d[0];
#endif
}
else
{
/* Target float words are little-endian. */
s[0] = (UEMUSHORT) d[0];
s[1] = (UEMUSHORT) (d[0] >> 16);
#if HOST_BITS_PER_WIDE_INT == 32
s[2] = (UEMUSHORT) d[1];
s[3] = (UEMUSHORT) (d[1] >> 16);
#else
s[2] = (UEMUSHORT) (d[0] >> 32);
s[3] = (UEMUSHORT) (d[0] >> 48);
#endif
}
/* Convert target double to E-type. */
e53toe (s, e);
/* Output E-type to REAL_VALUE_TYPE. */
PUT_REAL (e, &r);
return r;
}
#if 0
/* Convert target computer unsigned 64-bit integer to e-type.
The endian-ness of DImode follows the convention for integers,
so we use WORDS_BIG_ENDIAN here, not REAL_WORDS_BIG_ENDIAN. */
static void
uditoe (di, e)
UEMUSHORT *di; /* Address of the 64-bit int. */
UEMUSHORT *e;
{
UEMUSHORT yi[NI];
int k;
ecleaz (yi);
if (WORDS_BIG_ENDIAN)
{
for (k = M; k < M + 4; k++)
yi[k] = *di++;
}
else
{
for (k = M + 3; k >= M; k--)
yi[k] = *di++;
}
yi[E] = EXONE + 47; /* exponent if normalize shift count were 0 */
if ((k = enormlz (yi)) > NBITS)/* normalize the significand */
ecleaz (yi); /* it was zero */
else
yi[E] -= (UEMUSHORT) k;/* subtract shift count from exponent */
emovo (yi, e);
}
/* Convert target computer signed 64-bit integer to e-type. */
static void
ditoe (di, e)
UEMUSHORT *di; /* Address of the 64-bit int. */
UEMUSHORT *e;
{
unsigned EMULONG acc;
UEMUSHORT yi[NI];
UEMUSHORT carry;
int k, sign;
ecleaz (yi);
if (WORDS_BIG_ENDIAN)
{
for (k = M; k < M + 4; k++)
yi[k] = *di++;
}
else
{
for (k = M + 3; k >= M; k--)
yi[k] = *di++;
}
/* Take absolute value */
sign = 0;
if (yi[M] & 0x8000)
{
sign = 1;
carry = 0;
for (k = M + 3; k >= M; k--)
{
acc = (unsigned EMULONG) (~yi[k] & 0xffff) + carry;
yi[k] = acc;
carry = 0;
if (acc & 0x10000)
carry = 1;
}
}
yi[E] = EXONE + 47; /* exponent if normalize shift count were 0 */
if ((k = enormlz (yi)) > NBITS)/* normalize the significand */
ecleaz (yi); /* it was zero */
else
yi[E] -= (UEMUSHORT) k;/* subtract shift count from exponent */
emovo (yi, e);
if (sign)
eneg (e);
}
/* Convert e-type to unsigned 64-bit int. */
static void
etoudi (x, i)
UEMUSHORT *x;
UEMUSHORT *i;
{
UEMUSHORT xi[NI];
int j, k;
emovi (x, xi);
if (xi[0])
{
xi[M] = 0;
goto noshift;
}
k = (int) xi[E] - (EXONE - 1);
if (k <= 0)
{
for (j = 0; j < 4; j++)
*i++ = 0;
return;
}
if (k > 64)
{
for (j = 0; j < 4; j++)
*i++ = 0xffff;
if (extra_warnings)
warning ("overflow on truncation to integer");
return;
}
if (k > 16)
{
/* Shift more than 16 bits: first shift up k-16 mod 16,
then shift up by 16's. */
j = k - ((k >> 4) << 4);
if (j == 0)
j = 16;
eshift (xi, j);
if (WORDS_BIG_ENDIAN)
*i++ = xi[M];
else
{
i += 3;
*i-- = xi[M];
}
k -= j;
do
{
eshup6 (xi);
if (WORDS_BIG_ENDIAN)
*i++ = xi[M];
else
*i-- = xi[M];
}
while ((k -= 16) > 0);
}
else
{
/* shift not more than 16 bits */
eshift (xi, k);
noshift:
if (WORDS_BIG_ENDIAN)
{
i += 3;
*i-- = xi[M];
*i-- = 0;
*i-- = 0;
*i = 0;
}
else
{
*i++ = xi[M];
*i++ = 0;
*i++ = 0;
*i = 0;
}
}
}
/* Convert e-type to signed 64-bit int. */
static void
etodi (x, i)
UEMUSHORT *x;
UEMUSHORT *i;
{
unsigned EMULONG acc;
UEMUSHORT xi[NI];
UEMUSHORT carry;
UEMUSHORT *isave;
int j, k;
emovi (x, xi);
k = (int) xi[E] - (EXONE - 1);
if (k <= 0)
{
for (j = 0; j < 4; j++)
*i++ = 0;
return;
}
if (k > 64)
{
for (j = 0; j < 4; j++)
*i++ = 0xffff;
if (extra_warnings)
warning ("overflow on truncation to integer");
return;
}
isave = i;
if (k > 16)
{
/* Shift more than 16 bits: first shift up k-16 mod 16,
then shift up by 16's. */
j = k - ((k >> 4) << 4);
if (j == 0)
j = 16;
eshift (xi, j);
if (WORDS_BIG_ENDIAN)
*i++ = xi[M];
else
{
i += 3;
*i-- = xi[M];
}
k -= j;
do
{
eshup6 (xi);
if (WORDS_BIG_ENDIAN)
*i++ = xi[M];
else
*i-- = xi[M];
}
while ((k -= 16) > 0);
}
else
{
/* shift not more than 16 bits */
eshift (xi, k);
if (WORDS_BIG_ENDIAN)
{
i += 3;
*i = xi[M];
*i-- = 0;
*i-- = 0;
*i = 0;
}
else
{
*i++ = xi[M];
*i++ = 0;
*i++ = 0;
*i = 0;
}
}
/* Negate if negative */
if (xi[0])
{
carry = 0;
if (WORDS_BIG_ENDIAN)
isave += 3;
for (k = 0; k < 4; k++)
{
acc = (unsigned EMULONG) (~(*isave) & 0xffff) + carry;
if (WORDS_BIG_ENDIAN)
*isave-- = acc;
else
*isave++ = acc;
carry = 0;
if (acc & 0x10000)
carry = 1;
}
}
}
/* Longhand square root routine. */
static int esqinited = 0;
static unsigned short sqrndbit[NI];
static void
esqrt (x, y)
UEMUSHORT *x, *y;
{
UEMUSHORT temp[NI], num[NI], sq[NI], xx[NI];
EMULONG m, exp;
int i, j, k, n, nlups;
if (esqinited == 0)
{
ecleaz (sqrndbit);
sqrndbit[NI - 2] = 1;
esqinited = 1;
}
/* Check for arg <= 0 */
i = ecmp (x, ezero);
if (i <= 0)
{
if (i == -1)
{
mtherr ("esqrt", DOMAIN);
eclear (y);
}
else
emov (x, y);
return;
}
#ifdef INFINITY
if (eisinf (x))
{
eclear (y);
einfin (y);
return;
}
#endif
/* Bring in the arg and renormalize if it is denormal. */
emovi (x, xx);
m = (EMULONG) xx[1]; /* local long word exponent */
if (m == 0)
m -= enormlz (xx);
/* Divide exponent by 2 */
m -= 0x3ffe;
exp = (unsigned short) ((m / 2) + 0x3ffe);
/* Adjust if exponent odd */
if ((m & 1) != 0)
{
if (m > 0)
exp += 1;
eshdn1 (xx);
}
ecleaz (sq);
ecleaz (num);
n = 8; /* get 8 bits of result per inner loop */
nlups = rndprc;
j = 0;
while (nlups > 0)
{
/* bring in next word of arg */
if (j < NE)
num[NI - 1] = xx[j + 3];
/* Do additional bit on last outer loop, for roundoff. */
if (nlups <= 8)
n = nlups + 1;
for (i = 0; i < n; i++)
{
/* Next 2 bits of arg */
eshup1 (num);
eshup1 (num);
/* Shift up answer */
eshup1 (sq);
/* Make trial divisor */
for (k = 0; k < NI; k++)
temp[k] = sq[k];
eshup1 (temp);
eaddm (sqrndbit, temp);
/* Subtract and insert answer bit if it goes in */
if (ecmpm (temp, num) <= 0)
{
esubm (temp, num);
sq[NI - 2] |= 1;
}
}
nlups -= n;
j += 1;
}
/* Adjust for extra, roundoff loop done. */
exp += (NBITS - 1) - rndprc;
/* Sticky bit = 1 if the remainder is nonzero. */
k = 0;
for (i = 3; i < NI; i++)
k |= (int) num[i];
/* Renormalize and round off. */
emdnorm (sq, k, 0, exp, 64);
emovo (sq, y);
}
#endif
#endif /* EMU_NON_COMPILE not defined */
/* Return the binary precision of the significand for a given
floating point mode. The mode can hold an integer value
that many bits wide, without losing any bits. */
unsigned int
significand_size (mode)
enum machine_mode mode;
{
/* Don't test the modes, but their sizes, lest this
code won't work for BITS_PER_UNIT != 8 . */
switch (GET_MODE_BITSIZE (mode))
{
case 32:
#if TARGET_FLOAT_FORMAT == C4X_FLOAT_FORMAT
return 56;
#endif
return 24;
case 64:
#if TARGET_FLOAT_FORMAT == IEEE_FLOAT_FORMAT
return 53;
#else
#if TARGET_FLOAT_FORMAT == IBM_FLOAT_FORMAT
return 56;
#else
#if TARGET_FLOAT_FORMAT == VAX_FLOAT_FORMAT
return 56;
#else
#if TARGET_FLOAT_FORMAT == C4X_FLOAT_FORMAT
return 56;
#else
abort ();
#endif
#endif
#endif
#endif
case 96:
return 64;
case 128:
#if (INTEL_EXTENDED_IEEE_FORMAT == 0)
return 113;
#else
return 64;
#endif
default:
abort ();
}
}