/* real.c - implementation of REAL_ARITHMETIC, REAL_VALUE_ATOF,
-and support for XFmode IEEE extended real floating point arithmetic.
-Contributed by Stephen L. Moshier (moshier@world.std.com).
-
- Copyright (C) 1993 Free Software Foundation, Inc.
+ and support for XFmode IEEE extended real floating point arithmetic.
+ Copyright (C) 1993, 1994, 1995, 1996 Free Software Foundation, Inc.
+ Contributed by Stephen L. Moshier (moshier@world.std.com).
This file is part of GNU CC.
You should have received a copy of the GNU General Public License
along with GNU CC; see the file COPYING. If not, write to
-the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. */
+the Free Software Foundation, 59 Temple Place - Suite 330,
+Boston, MA 02111-1307, USA. */
#include <stdio.h>
#include <errno.h>
its decimal conversion functions can be used if desired (see
real.h).
-The first part of this file interfaces gcc to ieee.c, which is a
-floating point arithmetic suite that was not written with gcc in
-mind. The interface is followed by ieee.c itself and related
-items. Avoid changing ieee.c 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. Some tutorial
-information on ieee.c is given in my book: S. L. Moshier,
-_Methods and Programs for Mathematical Functions_, Prentice-Hall
-or Simon & Schuster Int'l, 1989. A library of XFmode elementary
-transcendental functions can be obtained by ftp from
-research.att.com: netlib/cephes/ldouble.shar.Z */
-
+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. */
+\f
/* Type of computer arithmetic.
- * Only one of DEC, IBM, MIEEE, IBMPC, or UNK should get defined.
- */
-
-/* `MIEEE' 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 MIEEE
- also invokes the particular XFmode (`long double' type) data
- structure used by the Motorola 680x0 series processors.
-
- `IBMPC' refers generally to little-endian IEEE machines. In this
- case, if LONG_DOUBLE_TYPE_SIZE has been defined to be 96, then
- IBMPC also invokes the particular XFmode `long double' data
- structure used by the Intel 80x86 series processors.
+ Only one of DEC, IBM, IEEE, 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
The case LONG_DOUBLE_TYPE_SIZE = 128 activates TFmode support
and may deactivate XFmode since `long double' is used to refer
- to both modes. */
+ to both modes.
+
+ 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. */
#define IBM 1
#else /* it's also not an IBM */
#if TARGET_FLOAT_FORMAT == IEEE_FLOAT_FORMAT
-#if WORDS_BIG_ENDIAN
-/* Motorola IEEE, high order words come first (Sun workstation): */
-#define MIEEE 1
-#else /* not big-endian */
-/* Intel IEEE, low order words come first:
- */
-#define IBMPC 1
-#endif /* big-endian */
+#define IEEE
#else /* it's not IEEE either */
-/* UNKnown arithmetic. We don't support this and can't go on. */
+/* UNKnown arithmetic. We don't support this and can't go on. */
unknown arithmetic type
#define UNK 1
#endif /* not IEEE */
#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 */
#define IBM 1
#else /* it's also not an IBM */
#if HOST_FLOAT_FORMAT == IEEE_FLOAT_FORMAT
-#ifdef HOST_WORDS_BIG_ENDIAN
-#define MIEEE 1
-#else /* not big-endian */
-#define IBMPC 1
-#endif /* big-endian */
+#define IEEE
#else /* it's not IEEE either */
unknown arithmetic type
#define UNK 1
#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
#endif
-/* Support of NaNs requires support of infinity. */
+/* Support of NaNs requires support of infinity. */
#ifdef NANS
#ifndef INFINITY
#define INFINITY
#endif
#endif
-
+\f
/* Find a host integer type that is at least 16 bits wide,
- and another type at least twice whatever that size is. */
+ 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_LONG
#define EMULONG_SIZE (2 * HOST_BITS_PER_LONG)
#else
-/* You will have to modify this program to have a smaller unit size. */
+/* You will have to modify this program to have a smaller unit size. */
#define EMU_NON_COMPILE
#endif
#endif
#if HOST_BITS_PER_LONG_LONG >= EMULONG_SIZE
#define EMULONG long long int
#else
-/* You will have to modify this program to have a smaller unit size. */
+/* You will have to modify this program to have a smaller unit size. */
#define EMU_NON_COMPILE
#endif
#endif
#endif
-/* The host interface doesn't work if no 16-bit size exists. */
+/* 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. */
+/* OK to continue compilation. */
#ifndef EMU_NON_COMPILE
/* Construct macros to translate between REAL_VALUE_TYPE and e type.
#define NE 6
#define MAXDECEXP 4932
#define MINDECEXP -4956
-#define GET_REAL(r,e) bcopy (r, e, 2*NE)
-#define PUT_REAL(e,r) bcopy (e, r, 2*NE)
+#define GET_REAL(r,e) bcopy ((char *) r, (char *) e, 2*NE)
+#define PUT_REAL(e,r) bcopy ((char *) e, (char *) r, 2*NE)
#else /* no XFmode */
#if LONG_DOUBLE_TYPE_SIZE == 128
#define NE 10
#define MAXDECEXP 4932
#define MINDECEXP -4977
-#define GET_REAL(r,e) bcopy (r, e, 2*NE)
-#define PUT_REAL(e,r) bcopy (e, r, 2*NE)
+#define GET_REAL(r,e) bcopy ((char *) r, (char *) e, 2*NE)
+#define PUT_REAL(e,r) bcopy ((char *) e, (char *) r, 2*NE)
#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. */
-
-#if defined (HOST_WORDS_BIG_ENDIAN) == WORDS_BIG_ENDIAN
-#define GET_REAL(r,e) e53toe ((r), (e))
-#define PUT_REAL(e,r) etoe53 ((e), (r))
-
-#else /* endian-ness differs */
-/* emulator uses target endian-ness internally */
-#define GET_REAL(r,e) \
-do { EMUSHORT w[4]; \
- w[3] = ((EMUSHORT *) r)[0]; \
- w[2] = ((EMUSHORT *) r)[1]; \
- w[1] = ((EMUSHORT *) r)[2]; \
- w[0] = ((EMUSHORT *) r)[3]; \
- e53toe (w, (e)); } while (0)
-
-#define PUT_REAL(e,r) \
-do { EMUSHORT w[4]; \
- etoe53 ((e), w); \
- *((EMUSHORT *) r) = w[3]; \
- *((EMUSHORT *) r + 1) = w[2]; \
- *((EMUSHORT *) r + 2) = w[1]; \
- *((EMUSHORT *) r + 3) = w[0]; } while (0)
-
-#endif /* endian-ness differs */
+ 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 ((unsigned EMUSHORT *) (r), (e)); \
+ else \
+ { \
+ unsigned EMUSHORT w[4]; \
+ w[3] = ((EMUSHORT *) r)[0]; \
+ w[2] = ((EMUSHORT *) r)[1]; \
+ w[1] = ((EMUSHORT *) r)[2]; \
+ w[0] = ((EMUSHORT *) r)[3]; \
+ e53toe (w, (e)); \
+ } \
+ } while (0)
+
+#define PUT_REAL(e,r) \
+do { \
+ if (HOST_FLOAT_WORDS_BIG_ENDIAN == REAL_WORDS_BIG_ENDIAN) \
+ etoe53 ((e), (unsigned EMUSHORT *) (r)); \
+ else \
+ { \
+ unsigned EMUSHORT w[4]; \
+ etoe53 ((e), w); \
+ *((EMUSHORT *) r) = w[3]; \
+ *((EMUSHORT *) r + 1) = w[2]; \
+ *((EMUSHORT *) r + 2) = w[1]; \
+ *((EMUSHORT *) r + 3) = w[0]; \
+ } \
+ } while (0)
#else /* not REAL_ARITHMETIC */
/* emulator uses host format */
-#define GET_REAL(r,e) e53toe ((r), (e))
-#define PUT_REAL(e,r) etoe53 ((e), (r))
+#define GET_REAL(r,e) e53toe ((unsigned EMUSHORT *) (r), (e))
+#define PUT_REAL(e,r) etoe53 ((e), (unsigned EMUSHORT *) (r))
#endif /* not REAL_ARITHMETIC */
#endif /* not TFmode */
/* The exponent of 1.0 */
#define EXONE (0x3fff)
-void warning ();
extern int extra_warnings;
-int ecmp (), enormlz (), eshift ();
-int eisneg (), eisinf (), eisnan (), eiisinf (), eiisnan ();
-void eadd (), esub (), emul (), ediv ();
-void eshup1 (), eshup8 (), eshup6 (), eshdn1 (), eshdn8 (), eshdn6 ();
-void eabs (), eneg (), emov (), eclear (), einfin (), efloor ();
-void eldexp (), efrexp (), eifrac (), euifrac (), ltoe (), ultoe ();
-void ereal_to_decimal (), eiinfin (), einan ();
-void esqrt (), elog (), eexp (), etanh (), epow ();
-void asctoe (), asctoe24 (), asctoe53 (), asctoe64 (), asctoe113 ();
-void etoasc (), e24toasc (), e53toasc (), e64toasc (), e113toasc ();
-void etoe64 (), etoe53 (), etoe24 (), e64toe (), e53toe (), e24toe ();
-void etoe113 (), e113toe ();
-void mtherr (), make_nan ();
-void enan ();
extern unsigned EMUSHORT ezero[], ehalf[], eone[], etwo[];
extern unsigned EMUSHORT elog2[], esqrt2[];
-/* Pack output array with 32-bit numbers obtained from
- array containing 16-bit numbers, swapping ends if required. */
-void
+static void endian PROTO((unsigned EMUSHORT *, long *,
+ enum machine_mode));
+static void eclear PROTO((unsigned EMUSHORT *));
+static void emov PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void eabs PROTO((unsigned EMUSHORT *));
+static void eneg PROTO((unsigned EMUSHORT *));
+static int eisneg PROTO((unsigned EMUSHORT *));
+static int eisinf PROTO((unsigned EMUSHORT *));
+static int eisnan PROTO((unsigned EMUSHORT *));
+static void einfin PROTO((unsigned EMUSHORT *));
+static void enan PROTO((unsigned EMUSHORT *, int));
+static void emovi PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void emovo PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void ecleaz PROTO((unsigned EMUSHORT *));
+static void ecleazs PROTO((unsigned EMUSHORT *));
+static void emovz PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void einan PROTO((unsigned EMUSHORT *));
+static int eiisnan PROTO((unsigned EMUSHORT *));
+static int eiisneg PROTO((unsigned EMUSHORT *));
+static void eiinfin PROTO((unsigned EMUSHORT *));
+static int eiisinf PROTO((unsigned EMUSHORT *));
+static int ecmpm PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void eshdn1 PROTO((unsigned EMUSHORT *));
+static void eshup1 PROTO((unsigned EMUSHORT *));
+static void eshdn8 PROTO((unsigned EMUSHORT *));
+static void eshup8 PROTO((unsigned EMUSHORT *));
+static void eshup6 PROTO((unsigned EMUSHORT *));
+static void eshdn6 PROTO((unsigned EMUSHORT *));
+static void eaddm PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));\f
+static void esubm PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void m16m PROTO((unsigned int, unsigned short *,
+ unsigned short *));
+static int edivm PROTO((unsigned short *, unsigned short *));
+static int emulm PROTO((unsigned short *, unsigned short *));
+static void emdnorm PROTO((unsigned EMUSHORT *, int, int, EMULONG, int));
+static void esub PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *,
+ unsigned EMUSHORT *));
+static void eadd PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *,
+ unsigned EMUSHORT *));
+static void eadd1 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *,
+ unsigned EMUSHORT *));
+static void ediv PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *,
+ unsigned EMUSHORT *));
+static void emul PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *,
+ unsigned EMUSHORT *));
+static void e53toe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void e64toe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void e113toe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void e24toe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void etoe113 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void toe113 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void etoe64 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void toe64 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void etoe53 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void toe53 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void etoe24 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void toe24 PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static int ecmp PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void eround PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void ltoe PROTO((HOST_WIDE_INT *, unsigned EMUSHORT *));
+static void ultoe PROTO((unsigned HOST_WIDE_INT *, unsigned EMUSHORT *));
+static void eifrac PROTO((unsigned EMUSHORT *, HOST_WIDE_INT *,
+ unsigned EMUSHORT *));
+static void euifrac PROTO((unsigned EMUSHORT *, unsigned HOST_WIDE_INT *,
+ unsigned EMUSHORT *));
+static int eshift PROTO((unsigned EMUSHORT *, int));
+static int enormlz PROTO((unsigned EMUSHORT *));
+static void e24toasc PROTO((unsigned EMUSHORT *, char *, int));
+static void e53toasc PROTO((unsigned EMUSHORT *, char *, int));
+static void e64toasc PROTO((unsigned EMUSHORT *, char *, int));
+static void e113toasc PROTO((unsigned EMUSHORT *, char *, int));
+static void etoasc PROTO((unsigned EMUSHORT *, char *, int));
+static void asctoe24 PROTO((char *, unsigned EMUSHORT *));
+static void asctoe53 PROTO((char *, unsigned EMUSHORT *));
+static void asctoe64 PROTO((char *, unsigned EMUSHORT *));
+static void asctoe113 PROTO((char *, unsigned EMUSHORT *));
+static void asctoe PROTO((char *, unsigned EMUSHORT *));
+static void asctoeg PROTO((char *, unsigned EMUSHORT *, int));
+static void efloor PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void efrexp PROTO((unsigned EMUSHORT *, int *,
+ unsigned EMUSHORT *));
+static void eldexp PROTO((unsigned EMUSHORT *, int, unsigned EMUSHORT *));
+static void eremain PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *,
+ unsigned EMUSHORT *));
+static void eiremain PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void mtherr PROTO((char *, int));
+static void dectoe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void etodec PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void todec PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void ibmtoe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *,
+ enum machine_mode));
+static void etoibm PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *,
+ enum machine_mode));
+static void toibm PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *,
+ enum machine_mode));
+static void make_nan PROTO((unsigned EMUSHORT *, int, enum machine_mode));
+static void uditoe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void ditoe PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void etoudi PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void etodi PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+static void esqrt PROTO((unsigned EMUSHORT *, unsigned EMUSHORT *));
+\f
+/* 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)
unsigned EMUSHORT e[];
long x[];
{
unsigned long th, t;
-#if WORDS_BIG_ENDIAN
- switch (mode)
+ if (REAL_WORDS_BIG_ENDIAN)
{
+ switch (mode)
+ {
- case TFmode:
- /* 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;
-
- 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:
-
- /* swap halfwords in the first word */
- th = (unsigned long) e[0] & 0xffff;
- t = (unsigned long) e[1] & 0xffff;
- t |= th << 16;
- x[0] = t;
- break;
+ case TFmode:
+ /* 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;
+
+ 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 HFmode:
+ case SFmode:
+
+ /* 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 ();
+ default:
+ abort ();
+ }
}
-
-#else
-
- /* Pack the output array without swapping. */
-
- switch (mode)
+ else
{
+ /* Pack the output array without swapping. */
- case TFmode:
-
- /* Pack the fourth long. */
- th = (unsigned long) e[7] & 0xffff;
- t = (unsigned long) e[6] & 0xffff;
- t |= th << 16;
- x[3] = (long) t;
-
- 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:
+ switch (mode)
+ {
- /* pack the first long */
- th = (unsigned long) e[1] & 0xffff;
- t = (unsigned long) e[0] & 0xffff;
- t |= th << 16;
- x[0] = t;
- break;
+ case TFmode:
+
+ /* Pack the fourth long. */
+ th = (unsigned long) e[7] & 0xffff;
+ t = (unsigned long) e[6] & 0xffff;
+ t |= th << 16;
+ x[3] = (long) t;
+
+ 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 HFmode:
+ case SFmode:
+
+ /* 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 ();
+ default:
+ abort ();
+ }
}
-
-#endif
}
-/* This is the implementation of the REAL_ARITHMETIC macro.
- */
+/* This is the implementation of the REAL_ARITHMETIC macro. */
+
void
earith (value, icode, r1, r2)
REAL_VALUE_TYPE *value;
GET_REAL (r1, d1);
GET_REAL (r2, d2);
#ifdef NANS
-/* Return NaN input back to the caller. */
+/* Return NaN input back to the caller. */
if (eisnan (d1))
{
PUT_REAL (d1, value);
if (ecmp (d2, ezero) == 0)
{
#ifdef NANS
- enan (v);
+ enan (v, eisneg (d1) ^ eisneg (d2));
break;
#else
abort ();
}
-/* Truncate REAL_VALUE_TYPE toward zero to signed HOST_WIDE_INT
- * implements REAL_VALUE_RNDZINT (x) (etrunci (x))
- */
+/* 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;
{
unsigned EMUSHORT f[NE], g[NE];
REAL_VALUE_TYPE r;
- long l;
+ HOST_WIDE_INT l;
GET_REAL (&x, g);
#ifdef NANS
}
-/* Truncate REAL_VALUE_TYPE toward zero to unsigned HOST_WIDE_INT
- * implements REAL_VALUE_UNSIGNED_RNDZINT (x) (etruncui (x))
- */
+/* 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;
{
unsigned EMUSHORT f[NE], g[NE];
REAL_VALUE_TYPE r;
- unsigned long l;
+ unsigned HOST_WIDE_INT l;
GET_REAL (&x, g);
#ifdef NANS
}
-/* This is the REAL_VALUE_ATOF function.
- * It converts a decimal string to binary, rounding off
- * as indicated by the machine_mode argument. Then it
- * promotes the rounded value to REAL_VALUE_TYPE.
- */
+/* This is the REAL_VALUE_ATOF function. It converts a decimal 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)
char *s;
switch (t)
{
+ case HFmode:
case SFmode:
asctoe24 (s, tem);
e24toe (tem, e);
}
-/* Expansion of REAL_NEGATE.
- */
+/* Expansion of REAL_NEGATE. */
+
REAL_VALUE_TYPE
ereal_negate (x)
REAL_VALUE_TYPE x;
REAL_VALUE_TYPE r;
GET_REAL (&x, e);
-#ifdef NANS
- if (eisnan (e))
- return (x);
-#endif
eneg (e);
PUT_REAL (e, &r);
return (r);
}
-/* Round real toward zero to HOST_WIDE_INT
- * implements REAL_VALUE_FIX (x).
- */
-long
+/* Round real toward zero to HOST_WIDE_INT;
+ implements REAL_VALUE_FIX (x). */
+
+HOST_WIDE_INT
efixi (x)
REAL_VALUE_TYPE x;
{
unsigned EMUSHORT f[NE], g[NE];
- long l;
+ HOST_WIDE_INT l;
GET_REAL (&x, f);
#ifdef NANS
}
/* Round real toward zero to unsigned HOST_WIDE_INT
- * implements REAL_VALUE_UNSIGNED_FIX (x).
- * Negative input returns zero.
- */
-unsigned long
+ implements REAL_VALUE_UNSIGNED_FIX (x).
+ Negative input returns zero. */
+
+unsigned HOST_WIDE_INT
efixui (x)
REAL_VALUE_TYPE x;
{
unsigned EMUSHORT f[NE], g[NE];
- unsigned long l;
+ unsigned HOST_WIDE_INT l;
GET_REAL (&x, f);
#ifdef NANS
}
-/* REAL_VALUE_FROM_INT macro.
- */
+/* REAL_VALUE_FROM_INT macro. */
+
void
-ereal_from_int (d, i, j)
+ereal_from_int (d, i, j, mode)
REAL_VALUE_TYPE *d;
- long i, j;
+ HOST_WIDE_INT i, j;
+ enum machine_mode mode;
{
unsigned EMUSHORT df[NE], dg[NE];
- long low, high;
+ HOST_WIDE_INT low, high;
int sign;
+ if (GET_MODE_CLASS (mode) != MODE_FLOAT)
+ abort ();
sign = 0;
low = i;
if ((high = j) < 0)
else
high += 1;
}
- eldexp (eone, HOST_BITS_PER_LONG, df);
- ultoe (&high, dg);
+ eldexp (eone, HOST_BITS_PER_WIDE_INT, df);
+ ultoe ((unsigned HOST_WIDE_INT *) &high, dg);
emul (dg, df, dg);
- ultoe (&low, df);
+ 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:
+ etoe113 (dg, df);
+ e113toe (df, dg);
+ break;
+
+ default:
+ abort ();
+ }
+
PUT_REAL (dg, d);
}
-/* REAL_VALUE_FROM_UNSIGNED_INT macro.
- */
+/* REAL_VALUE_FROM_UNSIGNED_INT macro. */
+
void
-ereal_from_uint (d, i, j)
+ereal_from_uint (d, i, j, mode)
REAL_VALUE_TYPE *d;
- unsigned long i, j;
+ unsigned HOST_WIDE_INT i, j;
+ enum machine_mode mode;
{
unsigned EMUSHORT df[NE], dg[NE];
- unsigned long low, high;
+ unsigned HOST_WIDE_INT low, high;
+ if (GET_MODE_CLASS (mode) != MODE_FLOAT)
+ abort ();
low = i;
high = j;
- eldexp (eone, HOST_BITS_PER_LONG, df);
+ 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:
+ etoe113 (dg, df);
+ e113toe (df, dg);
+ break;
+
+ default:
+ abort ();
+ }
+
PUT_REAL (dg, d);
}
-/* REAL_VALUE_TO_INT macro
- */
+/* REAL_VALUE_TO_INT macro. */
+
void
ereal_to_int (low, high, rr)
- long *low, *high;
+ HOST_WIDE_INT *low, *high;
REAL_VALUE_TYPE rr;
{
unsigned EMUSHORT d[NE], df[NE], dg[NE], dh[NE];
eneg (d);
s = 1;
}
- eldexp (eone, HOST_BITS_PER_LONG, df);
+ eldexp (eone, HOST_BITS_PER_WIDE_INT, df);
ediv (df, d, dg); /* dg = d / 2^32 is the high word */
- euifrac (dg, high, dh);
+ euifrac (dg, (unsigned HOST_WIDE_INT *) high, dh);
emul (df, dh, dg); /* fractional part is the low word */
- euifrac (dg, low, dh);
+ euifrac (dg, (unsigned HOST_WIDE_INT *)low, dh);
if (s)
{
/* complement and add 1 */
}
-/* REAL_VALUE_LDEXP macro.
- */
+/* REAL_VALUE_LDEXP macro. */
+
REAL_VALUE_TYPE
ereal_ldexp (x, n)
REAL_VALUE_TYPE x;
}
/* These routines are conditionally compiled because functions
- * of the same names may be defined in fold-const.c. */
+ of the same names may be defined in fold-const.c. */
+
#ifdef REAL_ARITHMETIC
-/* Check for infinity in a REAL_VALUE_TYPE. */
+/* Check for infinity in a REAL_VALUE_TYPE. */
+
int
target_isinf (x)
REAL_VALUE_TYPE x;
#endif
}
-
-/* Check whether a REAL_VALUE_TYPE item is a NaN. */
+/* Check whether a REAL_VALUE_TYPE item is a NaN. */
int
target_isnan (x)
/* Check for a negative REAL_VALUE_TYPE number.
- * this means strictly less than zero, not -0.
- */
+ This just checks the sign bit, so that -0 counts as negative. */
int
target_negative (x)
REAL_VALUE_TYPE x;
{
- unsigned EMUSHORT e[NE];
-
- GET_REAL (&x, e);
- if (ecmp (e, ezero) == -1)
- return (1);
- return (0);
+ return ereal_isneg (x);
}
/* Expansion of REAL_VALUE_TRUNCATE.
- * The result is in floating point, rounded to nearest or even.
- */
+ The result is in floating point, rounded to nearest or even. */
+
REAL_VALUE_TYPE
real_value_truncate (mode, arg)
enum machine_mode mode;
e53toe (t, t);
break;
+ case HFmode:
case SFmode:
etoe24 (e, t);
e24toe (t, t);
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:
- abort ();
+ 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;
+{
+ unsigned EMUSHORT 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 */
-/* Target values are arrays of host longs. A long is guaranteed
- to be at least 32 bits wide. */
+/* 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);
+}
+
+\f
+/* 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. */
-/* 128-bit long double */
void
etartdouble (r, l)
REAL_VALUE_TYPE r;
endian (e, l, TFmode);
}
-/* 80-bit long double */
+/* 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;
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;
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;
{
unsigned EMUSHORT e[NE];
- unsigned long l;
+ long l;
GET_REAL (&r, e);
etoe24 (e, e);
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;
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;
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;
}
/* End of REAL_ARITHMETIC interface */
-
-/* ieee.c
- *
- * Extended precision IEEE binary floating point arithmetic routines
- *
- * Numbers are stored in C language as arrays of 16-bit unsigned
- * short integers. The arguments of the routines are pointers to
- * the arrays.
- *
- *
- * External e type data structure, simulates Intel 8087 chip
- * temporary real format but possibly with a larger significand:
- *
- * NE-1 significand words (least significant word first,
- * most significant bit is normally set)
- * exponent (value = EXONE for 1.0,
- * top bit is the sign)
- *
- *
- * Internal data structure of a number (a "word" is 16 bits):
- *
- * ei[0] sign word (0 for positive, 0xffff for negative)
- * ei[1] biased exponent (value = EXONE for the number 1.0)
- * ei[2] high guard word (always zero after normalization)
- * ei[3]
- * to ei[NI-2] significand (NI-4 significand words,
- * most significant word first,
- * most significant bit is set)
- * ei[NI-1] low guard word (0x8000 bit is rounding place)
- *
- *
- *
- * Routines for external format numbers
- *
- * asctoe (string, e) ASCII string to extended double e type
- * asctoe64 (string, &d) ASCII string to long double
- * asctoe53 (string, &d) ASCII string to double
- * asctoe24 (string, &f) ASCII string to single
- * asctoeg (string, e, prec) 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
- * eabs (e) absolute value
- * eadd (a, b, c) c = b + a
- * eclear (e) e = 0
- * ecmp (a, b) Returns 1 if a > b, 0 if a == b,
- * -1 if a < b, -2 if either a or b is a NaN.
- * ediv (a, b, c) 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 long integer and e type fraction
- * euifrac (e, &l, frac) e to unsigned long integer 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
- * eround (a, b) b = nearest integer value to a
- * esub (a, b, c) c = b - a
- * e24toasc (&f, str, n) single to ASCII string, n digits after decimal
- * e53toasc (&d, str, n) double to ASCII string, n digits after decimal
- * e64toasc (&d, str, n) 80-bit long double to ASCII string
- * e113toasc (&d, str, n) 128-bit long double to ASCII string
- * 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) long (32 bit) integer to e type
- * ultoe (&l, e) unsigned long (32 bit) integer to e type
- * eisneg (e) 1 if sign bit of e != 0, else 0
- * eisinf (e) 1 if e has maximum exponent (non-IEEE)
- * or is infinite (IEEE)
- * eisnan (e) 1 if e is a NaN
- *
- *
- * Routines for internal format numbers
- *
- * eaddm (ai, bi) add significands, bi = bi + ai
- * ecleaz (ei) ei = 0
- * ecleazs (ei) set ei = 0 but leave its sign alone
- * ecmpm (ai, bi) compare significands, return 1, 0, or -1
- * edivm (ai, bi) 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
- * einan (ai) set ai = NaN
- * eiinfin (ai) set ai = infinity
- *
- *
- * 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).
- *
- */
-
-
-/* mconf.h
- *
- * Common include file for math routines
- *
- *
- *
- * SYNOPSIS:
- *
- * #include "mconf.h"
- *
- *
- *
- * DESCRIPTION:
- *
- * This file contains definitions for error codes that are
- * passed to the common error handling routine mtherr
- * (which see).
- *
- * The file also includes a conditional assembly definition
- * for the type of computer arithmetic (Intel IEEE, DEC, Motorola
- * IEEE, or UNKnown).
- *
- * For Digital Equipment PDP-11 and VAX computers, certain
- * IBM systems, and others that use numbers with a 56-bit
- * significand, the symbol DEC should be defined. In this
- * mode, most floating point constants are given as arrays
- * of octal integers to eliminate decimal to binary conversion
- * errors that might be introduced by the compiler.
- *
- * For computers, such as IBM PC, that follow the IEEE
- * Standard for Binary Floating Point Arithmetic (ANSI/IEEE
- * Std 754-1985), the symbol IBMPC or MIEEE should be defined.
- * These numbers have 53-bit significands. In this mode, constants
- * are provided as arrays of hexadecimal 16 bit integers.
- *
- * To accommodate other types of computer arithmetic, all
- * constants are also provided in a normal decimal radix
- * which one can hope are correctly converted to a suitable
- * format by the available C language compiler. To invoke
- * this mode, the symbol UNK is defined.
- *
- * An important difference among these modes is a predefined
- * set of machine arithmetic constants for each. The numbers
- * MACHEP (the machine roundoff error), MAXNUM (largest number
- * represented), and several other parameters are preset by
- * the configuration symbol. Check the file const.c to
- * ensure that these values are correct for your computer.
- *
- * For ANSI C compatibility, define ANSIC equal to 1. Currently
- * this affects only the atan2 function and others that use it.
- */
\f
+/*
+ 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
+ eabs (e) absolute value
+ eadd (a, b, c) c = b + a
+ eclear (e) e = 0
+ ecmp (a, b) Returns 1 if a > b, 0 if a == b,
+ -1 if a < b, -2 if either a or b is a NaN.
+ ediv (a, b, c) 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
+ eround (a, b) b = nearest integer value to a
+ esub (a, b, c) c = b - a
+ e24toasc (&f, str, n) single to ASCII string, n digits after decimal
+ e53toasc (&d, str, n) double to ASCII string, n digits after decimal
+ e64toasc (&d, str, n) 80-bit long double to ASCII string
+ e113toasc (&d, str, n) 128-bit long double to ASCII string
+ 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
+ eiinfin (ai) set ai = infinity
+
+ 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 */
{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.
- */
+ 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;
-void eaddm (), esubm (), emdnorm (), asctoeg ();
-static void toe24 (), toe53 (), toe64 (), toe113 ();
-void eremain (), einit (), eiremain ();
-int ecmpm (), edivm (), emulm ();
-void emovi (), emovo (), emovz (), ecleaz (), ecleazs (), eadd1 ();
-#ifdef DEC
-void etodec (), todec (), dectoe ();
-#endif
-#ifdef IBM
-void etoibm (), toibm (), ibmtoe ();
-#endif
-
-
-void
-einit ()
-{
-}
-
-/*
-; Clear out entire external format number.
-;
-; unsigned EMUSHORT x[];
-; eclear (x);
-*/
+/* Clear out entire e-type number X. */
-void
+static void
eclear (x)
register unsigned EMUSHORT *x;
{
*x++ = 0;
}
+/* Move e-type number from A to B. */
-
-/* Move external format number from a to b.
- *
- * emov (a, b);
- */
-
-void
+static void
emov (a, b)
register unsigned EMUSHORT *a, *b;
{
}
-/*
-; Absolute value of external format number
-;
-; EMUSHORT x[NE];
-; eabs (x);
-*/
+/* Absolute value of e-type X. */
-void
+static void
eabs (x)
- unsigned EMUSHORT x[]; /* x is the memory address of a short */
+ unsigned EMUSHORT x[];
{
-
- x[NE - 1] &= 0x7fff; /* sign is top bit of last word of external format */
+ /* sign is top bit of last word of external format */
+ x[NE - 1] &= 0x7fff;
}
+/* Negate the e-type number X. */
-
-
-/*
-; Negate external format number
-;
-; unsigned EMUSHORT x[NE];
-; eneg (x);
-*/
-
-void
+static void
eneg (x)
unsigned EMUSHORT x[];
{
-#ifdef NANS
- if (eisnan (x))
- return;
-#endif
x[NE - 1] ^= 0x8000; /* Toggle the sign bit */
}
+/* Return 1 if sign bit of e-type number X is nonzero, else zero. */
-
-/* Return 1 if external format number is negative,
- * else return zero, including when it is a NaN.
- */
-int
+static int
eisneg (x)
unsigned EMUSHORT x[];
{
-#ifdef NANS
- if (eisnan (x))
- return (0);
-#endif
if (x[NE - 1] & 0x8000)
return (1);
else
return (0);
}
+/* Return 1 if e-type number X is infinity, else return zero. */
-/* Return 1 if external format number is infinity.
- * else return zero.
- */
-int
+static int
eisinf (x)
unsigned EMUSHORT x[];
{
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. */
-/* 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. */
-
-int
+static int
eisnan (x)
unsigned EMUSHORT x[];
{
-
#ifdef NANS
int i;
-/* NaN has maximum exponent */
+
+ /* NaN has maximum exponent */
if ((x[NE - 1] & 0x7fff) != 0x7fff)
return (0);
-/* ... and non-zero significand field. */
+ /* ... and non-zero significand field. */
for (i = 0; i < NE - 1; i++)
{
if (*x++ != 0)
return (1);
}
#endif
+
return (0);
}
-/* Fill external format number with infinity pattern (IEEE)
- or largest possible number (non-IEEE). */
+/* Fill e-type number X with infinity pattern (IEEE)
+ or largest possible number (non-IEEE). */
-void
+static void
einfin (x)
register unsigned EMUSHORT *x;
{
#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. */
-void
-enan (x)
+static void
+enan (x, sign)
register unsigned EMUSHORT *x;
+ int sign;
{
register int i;
for (i = 0; i < NE - 2; i++)
*x++ = 0;
*x++ = 0xc000;
- *x = 0x7fff;
+ *x = (sign << 15) | 0x7fff;
}
+/* Move in an e-type number A, converting it to exploded e-type B. */
-/* Move in external format number,
- * converting it to internal format.
- */
-void
+static void
emovi (a, b)
unsigned EMUSHORT *a, *b;
{
return;
}
#endif
+
for (i = 2; i < NI; i++)
*q++ = 0;
return;
}
#endif
+
/* clear high guard word */
*q++ = 0;
/* move in the significand */
*q = 0;
}
+/* Move out exploded e-type number A, converting it to e type B. */
-/* Move internal format number out,
- * converting it to external format.
- */
-void
+static void
emovo (a, b)
unsigned EMUSHORT *a, *b;
{
register unsigned EMUSHORT *p, *q;
unsigned EMUSHORT i;
+ int j;
p = a;
q = b + (NE - 1); /* point to output exponent */
#ifdef NANS
if (eiisnan (a))
{
- enan (b);
+ enan (b, eiisneg (a));
return;
}
#endif
/* skip over guard word */
++p;
/* move the significand */
- for (i = 0; i < NE - 1; i++)
+ for (j = 0; j < NE - 1; j++)
*q-- = *p++;
}
+/* Clear out exploded e-type number XI. */
-
-
-/* Clear out internal format number.
- */
-
-void
+static void
ecleaz (xi)
register unsigned EMUSHORT *xi;
{
*xi++ = 0;
}
+/* Clear out exploded e-type XI, but don't touch the sign. */
-/* same, but don't touch the sign. */
-
-void
+static void
ecleazs (xi)
register unsigned EMUSHORT *xi;
{
*xi++ = 0;
}
+/* Move exploded e-type number from A to B. */
-
-/* Move internal format number from a to b.
- */
-void
+static void
emovz (a, b)
register unsigned EMUSHORT *a, *b;
{
*b = 0;
}
-/* Generate internal format NaN.
+/* Generate exploded e-type NaN.
The explicit pattern for this is maximum exponent and
- top two significand bits set. */
+ top two significant bits set. */
-void
+static void
einan (x)
unsigned EMUSHORT x[];
{
x[M + 1] = 0xc000;
}
-/* Return nonzero if internal format number is a NaN. */
+/* Return nonzero if exploded e-type X is a NaN. */
-int
+static int
eiisnan (x)
unsigned EMUSHORT x[];
{
return (0);
}
-/* Fill internal format number with infinity pattern.
+/* Return nonzero if sign of exploded e-type X is nonzero. */
+
+static int
+eiisneg (x)
+ unsigned EMUSHORT x[];
+{
+
+ return x[0] != 0;
+}
+
+/* Fill exploded e-type X with infinity pattern.
This has maximum exponent and significand all zeros. */
-void
+static void
eiinfin (x)
unsigned EMUSHORT x[];
{
x[E] = 0x7fff;
}
-/* Return nonzero if internal format number is infinite. */
+/* Return nonzero if exploded e-type X is infinite. */
-int
+static int
eiisinf (x)
unsigned EMUSHORT x[];
{
}
-/*
-; Compare significands of numbers in internal format.
-; Guard words are included in the comparison.
-;
-; unsigned EMUSHORT a[NI], b[NI];
-; cmpm (a, b);
-;
-; for the significands:
-; returns +1 if a > b
-; 0 if a == b
-; -1 if a < b
-*/
-int
+/* 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)
register unsigned EMUSHORT *a, *b;
{
return (-1);
}
+/* Shift significand of exploded e-type X down by 1 bit. */
-/*
-; Shift significand down by 1 bit
-*/
-
-void
+static void
eshdn1 (x)
register unsigned EMUSHORT *x;
{
}
}
+/* Shift significand of exploded e-type X up by 1 bit. */
-
-/*
-; Shift significand up by 1 bit
-*/
-
-void
+static void
eshup1 (x)
register unsigned EMUSHORT *x;
{
}
+/* Shift significand of exploded e-type X down by 8 bits. */
-/*
-; Shift significand down by 8 bits
-*/
-
-void
+static void
eshdn8 (x)
register unsigned EMUSHORT *x;
{
}
}
-/*
-; Shift significand up by 8 bits
-*/
+/* Shift significand of exploded e-type X up by 8 bits. */
-void
+static void
eshup8 (x)
register unsigned EMUSHORT *x;
{
}
}
-/*
-; Shift significand up by 16 bits
-*/
+/* Shift significand of exploded e-type X up by 16 bits. */
-void
+static void
eshup6 (x)
register unsigned EMUSHORT *x;
{
*p = 0;
}
-/*
-; Shift significand down by 16 bits
-*/
+/* Shift significand of exploded e-type X down by 16 bits. */
-void
+static void
eshdn6 (x)
register unsigned EMUSHORT *x;
{
*(--p) = 0;
}
-\f
-/*
-; Add significands
-; x + y replaces y
-*/
-void
+/* Add significands of exploded e-type X and Y. X + Y replaces Y. */
+
+static void
eaddm (x, y)
unsigned EMUSHORT *x, *y;
{
}
}
-/*
-; Subtract significands
-; y - x replaces y
-*/
+/* Subtract significands of exploded e-type X and Y. Y - X replaces Y. */
-void
+static void
esubm (x, y)
unsigned EMUSHORT *x, *y;
{
*p++ = 0;
}
- /* Use faster compare and subtraction if denominator
- * has only 15 bits of significance.
- */
+ /* Use faster compare and subtraction if denominator has only 15 bits of
+ significance. */
+
p = &den[M + 2];
if (*p++ == 0)
{
goto divdon;
}
- /* The number of quotient bits to calculate is
- * NBITS + 1 scaling guard bit + 1 roundoff bit.
- */
+ /* The number of quotient bits to calculate is NBITS + 1 scaling guard
+ bit + 1 roundoff bit. */
+
fulldiv:
p = &equot[NI - 2];
/* Multiply significands */
+
int
emulm (a, b)
unsigned EMUSHORT a[], b[];
p = &a[NI - 2];
k = NBITS;
- while (*p == 0) /* significand is not supposed to be all zero */
+ while (*p == 0) /* significand is not supposed to be zero */
{
eshdn6 (a);
k -= 16;
#else
-/* Radix 65536 versions of multiply and divide */
-
+/* Radix 65536 versions of multiply and divide. */
-/* Multiply significand of e-type number b
-by 16-bit quantity a, e-type result to c. */
+/* Multiply significand of e-type number B
+ by 16-bit quantity A, return e-type result to C. */
-void
+static void
m16m (a, b, c)
- unsigned short a;
- unsigned short b[], c[];
-{
- register unsigned short *pp;
- register unsigned long carry;
- unsigned short *ps;
- unsigned short p[NI];
- unsigned long aa, m;
+ unsigned int a;
+ unsigned EMUSHORT b[], c[];
+{
+ register unsigned EMUSHORT *pp;
+ register unsigned EMULONG carry;
+ unsigned EMUSHORT *ps;
+ unsigned EMUSHORT p[NI];
+ unsigned EMULONG aa, m;
int i;
aa = a;
}
else
{
- m = (unsigned long) aa * *ps--;
+ m = (unsigned EMULONG) aa * *ps--;
carry = (m & 0xffff) + *pp;
- *pp-- = (unsigned short)carry;
+ *pp-- = (unsigned EMUSHORT)carry;
carry = (carry >> 16) + (m >> 16) + *pp;
- *pp = (unsigned short)carry;
+ *pp = (unsigned EMUSHORT)carry;
*(pp-1) = carry >> 16;
}
}
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. */
-/* Divide significands. Neither the numerator nor the denominator
- is permitted to have its high guard word nonzero. */
-
-int
+static int
edivm (den, num)
- unsigned short den[], num[];
+ unsigned EMUSHORT den[], num[];
{
int i;
- register unsigned short *p;
- unsigned long tnum;
- unsigned short j, tdenm, tquot;
- unsigned short tprod[NI+1];
+ register unsigned EMUSHORT *p;
+ unsigned EMULONG tnum;
+ unsigned EMUSHORT j, tdenm, tquot;
+ unsigned EMUSHORT tprod[NI+1];
p = &equot[0];
*p++ = num[0];
tdenm = den[M+1];
for (i=M; i<NI; i++)
{
- /* Find trial quotient digit (the radix is 65536). */
- tnum = (((unsigned long) num[M]) << 16) + num[M+1];
+ /* 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. */
+ /* Do not execute the divide instruction if it will overflow. */
if ((tdenm * 0xffffL) < tnum)
tquot = 0xffff;
else
tquot = tnum / tdenm;
- /* Multiply denominator by trial quotient digit. */
- m16m (tquot, den, tprod);
- /* The quotient digit may have been overestimated. */
+ /* 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;
return ((int)j);
}
+/* Multiply significands of exploded e-type A and B, result in B. */
-
-/* Multiply significands */
-int
+static int
emulm (a, b)
- unsigned short a[], b[];
+ unsigned EMUSHORT a[], b[];
{
- unsigned short *p, *q;
- unsigned short pprod[NI];
- unsigned short j;
+ unsigned EMUSHORT *p, *q;
+ unsigned EMUSHORT pprod[NI];
+ unsigned EMUSHORT j;
int i;
equot[0] = b[0];
}
else
{
- m16m (*p--, b, pprod);
+ m16m ((unsigned int) *p--, b, pprod);
eaddm(pprod, equot);
}
j |= *q;
#endif
-/*
- * Normalize and round off.
- *
- * The internal format number to be rounded is "s".
- * Input "lost" indicates whether or not the number is exact.
- * This is the so-called sticky bit.
- *
- * Input "subflg" indicates whether the number was obtained
- * by a subtraction operation. In that case if lost is nonzero
- * then the number is slightly smaller than indicated.
- *
- * Input "exp" is the biased exponent, which may be negative.
- * the exponent field of "s" is ignored but is replaced by
- * "exp" as adjusted by normalization and rounding.
- *
- * Input "rcntrl" is the rounding control.
- */
+/* 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
+ 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
static int re = 0;
static unsigned EMUSHORT rbit[NI];
-void
+static void
emdnorm (s, lost, subflg, exp, rcntrl)
unsigned EMUSHORT s[];
int lost;
/* Normalize */
j = enormlz (s);
- /* a blank significand could mean either zero or infinity. */
+ /* a blank significand could mean either zero or infinity. */
#ifndef INFINITY
if (j > NBITS)
{
return;
}
}
- /* Round off, unless told not to by rcntrl. */
+ /* Round off, unless told not to by rcntrl. */
if (rcntrl == 0)
goto mdfin;
- /* Set up rounding parameters if the control register changed. */
+ /* Set up rounding parameters if the control register changed. */
if (rndprc != rlast)
{
ecleaz (rbit);
}
/* Shift down 1 temporarily if the data structure has an implied
- most significant bit and the number is denormal. */
- if ((exp <= 0) && (rndprc != 64) && (rndprc != NBITS))
+ 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);
eaddm (rbit, s);
}
mddone:
- if ((exp <= 0) && (rndprc != 64) && (rndprc != NBITS))
+/* Undo the temporary shift for denormal values. */
+ if ((exp <= 0) && (rndprc != NBITS)
+ && ((rndprc != 64) || ((rndprc == 64) && ! REAL_WORDS_BIG_ENDIAN)))
{
eshup1 (s);
}
s[1] = (unsigned EMUSHORT) exp;
}
-
-
-/*
-; Subtract external format numbers.
-;
-; unsigned EMUSHORT a[NE], b[NE], c[NE];
-; esub (a, b, c); c = b - a
-*/
+/* Subtract. C = B - A, all e type numbers. */
static int subflg = 0;
-void
+static void
esub (a, b, c)
unsigned EMUSHORT *a, *b, *c;
{
return;
}
/* Infinity minus infinity is a NaN.
- Test for subtracting infinities of the same sign. */
+ Test for subtracting infinities of the same sign. */
if (eisinf (a) && eisinf (b)
&& ((eisneg (a) ^ eisneg (b)) == 0))
{
mtherr ("esub", INVALID);
- enan (c);
+ enan (c, 0);
return;
}
#endif
eadd1 (a, b, c);
}
+/* Add. C = A + B, all e type. */
-/*
-; Add.
-;
-; unsigned EMUSHORT a[NE], b[NE], c[NE];
-; eadd (a, b, c); c = b + a
-*/
-void
+static void
eadd (a, b, c)
unsigned EMUSHORT *a, *b, *c;
{
#ifdef NANS
-/* NaN plus anything is a NaN. */
+/* NaN plus anything is a NaN. */
if (eisnan (a))
{
emov (a, c);
return;
}
/* Infinity minus infinity is a NaN.
- Test for adding infinities of opposite signs. */
+ Test for adding infinities of opposite signs. */
if (eisinf (a) && eisinf (b)
&& ((eisneg (a) ^ eisneg (b)) != 0))
{
mtherr ("esub", INVALID);
- enan (c);
+ enan (c, 0);
return;
}
#endif
eadd1 (a, b, c);
}
-void
+/* Arithmetic common to both addition and subtraction. */
+
+static void
eadd1 (a, b, c)
unsigned EMUSHORT *a, *b, *c;
{
return;
}
/* if same sign, result is double */
- /* double denomalized tiny number */
+ /* double denormalized tiny number */
if ((bi[E] == 0) && ((bi[3] & 0x8000) == 0))
{
eshup1 (bi);
{
if (bi[j] != 0)
{
- /* This could overflow, but let emovo take care of that. */
ltb += 1;
+ if (ltb >= 0x7fff)
+ {
+ eclear (c);
+ if (ai[0] != 0)
+ eneg (c);
+ einfin (c);
+ return;
+ }
break;
}
}
emovo (bi, c);
}
+/* Divide: C = B/A, all e type. */
-
-/*
-; Divide.
-;
-; unsigned EMUSHORT a[NE], b[NE], c[NE];
-; ediv (a, b, c); c = b / a
-*/
-void
+static void
ediv (a, b, c)
unsigned EMUSHORT *a, *b, *c;
{
unsigned EMUSHORT ai[NI], bi[NI];
- int i;
+ 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. */
+/* Return any NaN input. */
if (eisnan (a))
{
emov (a, c);
emov (b, c);
return;
}
-/* Zero over zero, or infinity over infinity, is a NaN. */
+/* 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);
+ enan (c, sign);
return;
}
#endif
-/* Infinity over anything else is infinity. */
+/* Infinity over anything else is infinity. */
#ifdef INFINITY
if (eisinf (b))
{
- if (eisneg (a) ^ eisneg (b))
- *(c + (NE - 1)) = 0x8000;
- else
- *(c + (NE - 1)) = 0;
einfin (c);
- return;
+ goto divsign;
}
-/* Anything else over infinity is zero. */
+/* Anything else over infinity is zero. */
if (eisinf (a))
{
eclear (c);
- return;
+ goto divsign;
}
#endif
emovi (a, ai);
lta = ai[E];
ltb = bi[E];
if (bi[E] == 0)
- { /* See if numerator is zero. */
+ { /* See if numerator is zero. */
for (i = 1; i < NI - 1; i++)
{
if (bi[i] != 0)
}
}
eclear (c);
- return;
+ goto divsign;
}
dnzro1:
goto dnzro2;
}
}
- if (ai[0] == bi[0])
- *(c + (NE - 1)) = 0;
- else
- *(c + (NE - 1)) = 0x8000;
/* Divide by zero is not an invalid operation.
It is a divide-by-zero operation! */
einfin (c);
mtherr ("ediv", SING);
- return;
+ goto divsign;
}
dnzro2:
/* calculate exponent */
lt = ltb - lta + EXONE;
emdnorm (bi, i, 0, lt, 64);
- /* set the sign */
- if (ai[0] == bi[0])
- bi[0] = 0;
- else
- bi[0] = 0Xffff;
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. */
-/*
-; Multiply.
-;
-; unsigned EMUSHORT a[NE], b[NE], c[NE];
-; emul (a, b, c); c = b * a
-*/
-void
+static void
emul (a, b, c)
unsigned EMUSHORT *a, *b, *c;
{
unsigned EMUSHORT ai[NI], bi[NI];
- int i, j;
+ 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. */
+/* NaN times anything is the same NaN. */
if (eisnan (a))
{
emov (a, c);
emov (b, c);
return;
}
-/* Zero times infinity is a NaN. */
+/* Zero times infinity is a NaN. */
if ((eisinf (a) && (ecmp (b, ezero) == 0))
|| (eisinf (b) && (ecmp (a, ezero) == 0)))
{
mtherr ("emul", INVALID);
- enan (c);
+ enan (c, sign);
return;
}
#endif
-/* Infinity times anything else is infinity. */
+/* Infinity times anything else is infinity. */
#ifdef INFINITY
if (eisinf (a) || eisinf (b))
{
- if (eisneg (a) ^ eisneg (b))
- *(c + (NE - 1)) = 0x8000;
- else
- *(c + (NE - 1)) = 0;
einfin (c);
- return;
+ goto mulsign;
}
#endif
emovi (a, ai);
}
}
eclear (c);
- return;
+ goto mulsign;
}
mnzer1:
}
}
eclear (c);
- return;
+ goto mulsign;
}
mnzer2:
/* calculate exponent */
lt = lta + ltb - (EXONE - 1);
emdnorm (bi, j, 0, lt, 64);
- /* calculate sign of product */
- if (ai[0] == bi[0])
- bi[0] = 0;
- else
- bi[0] = 0xffff;
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. */
-/*
-; Convert IEEE double precision to e type
-; double d;
-; unsigned EMUSHORT x[N+2];
-; e53toe (&d, x);
-*/
-void
+static void
e53toe (pe, y)
unsigned EMUSHORT *pe, *y;
{
#ifdef DEC
- dectoe (pe, y); /* see etodec.c */
+ dectoe (pe, y);
#else
#ifdef IBM
e = pe;
denorm = 0; /* flag if denormalized number */
ecleaz (yy);
-#ifdef IBMPC
- e += 3;
-#endif
+ if (! REAL_WORDS_BIG_ENDIAN)
+ e += 3;
r = *e;
yy[0] = 0;
if (r & 0x8000)
if (r == 0x7ff0)
{
#ifdef NANS
-#ifdef IBMPC
- if (((pe[3] & 0xf) != 0) || (pe[2] != 0)
- || (pe[1] != 0) || (pe[0] != 0))
+ if (! REAL_WORDS_BIG_ENDIAN)
{
- enan (y);
- return;
+ 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))
+ else
{
- enan (y);
- return;
+ if (((pe[0] & 0xf) != 0) || (pe[1] != 0)
+ || (pe[2] != 0) || (pe[3] != 0))
+ {
+ enan (y, yy[0] != 0);
+ return;
+ }
}
-#endif
#endif /* NANS */
eclear (y);
einfin (y);
#endif /* INFINITY */
r >>= 4;
/* If zero exponent, then the significand is denormalized.
- * So, take back the understood high significand bit. */
+ So take back the understood high significand bit. */
+
if (r == 0)
{
denorm = 1;
r += EXONE - 01777;
yy[E] = r;
p = &yy[M + 1];
-#ifdef IBMPC
- *p++ = *(--e);
- *p++ = *(--e);
- *p++ = *(--e);
-#endif
-#ifdef MIEEE
- ++e;
- *p++ = *e++;
- *p++ = *e++;
- *p++ = *e++;
+#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)
#endif /* not DEC */
}
-void
+/* Convert double extended precision float PE to e type Y. */
+
+static void
e64toe (pe, y)
unsigned EMUSHORT *pe, *y;
{
p = yy;
for (i = 0; i < NE - 5; i++)
*p++ = 0;
-#ifdef IBMPC
- for (i = 0; i < 5; i++)
- *p++ = *e++;
-#endif
-/* This precision is not ordinarily supported on DEC or IBM. */
+/* This precision is not ordinarily supported on DEC or IBM. */
#ifdef DEC
for (i = 0; i < 5; i++)
*p++ = *e++;
for (i = 0; i < 5; i++)
*p-- = *e++;
#endif
-#ifdef MIEEE
- p = &yy[0] + (NE - 1);
- *p-- = *e++;
- ++e;
- for (i = 0; i < 4; i++)
- *p-- = *e++;
+#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)
+ {
+ unsigned EMUSHORT 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
- p = yy;
- q = y;
#ifdef INFINITY
- if (*p == 0x7fff)
+ /* Point to the exponent field and check max exponent cases. */
+ p = &yy[NE - 1];
+ if ((*p & 0x7fff) == 0x7fff)
{
#ifdef NANS
-#ifdef IBMPC
- for (i = 0; i < 4; i++)
+ if (! REAL_WORDS_BIG_ENDIAN)
{
- if (pe[i] != 0)
+ for (i = 0; i < 4; i++)
{
- enan (y);
- return;
+ 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
- for (i = 1; i <= 4; i++)
+ else
{
- if (pe[i] != 0)
+#ifdef ARM_EXTENDED_IEEE_FORMAT
+ for (i = 2; i <= 5; i++)
{
- enan (y);
- return;
+ 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
#endif /* NANS */
eclear (y);
einfin (y);
return;
}
#endif /* INFINITY */
+ p = yy;
+ q = y;
for (i = 0; i < NE; i++)
*q++ = *p++;
}
+/* Convert 128-bit long double precision float PE to e type Y. */
-void
+static void
e113toe (pe, y)
unsigned EMUSHORT *pe, *y;
{
e = pe;
denorm = 0;
ecleaz (yy);
-#ifdef IBMPC
- e += 7;
+#ifdef IEEE
+ if (! REAL_WORDS_BIG_ENDIAN)
+ e += 7;
#endif
r = *e;
yy[0] = 0;
if (r == 0x7fff)
{
#ifdef NANS
-#ifdef IBMPC
- for (i = 0; i < 7; i++)
+ if (! REAL_WORDS_BIG_ENDIAN)
{
- if (pe[i] != 0)
+ for (i = 0; i < 7; i++)
{
- enan (y);
- return;
+ if (pe[i] != 0)
+ {
+ enan (y, yy[0] != 0);
+ return;
+ }
}
}
-#else
- for (i = 1; i < 8; i++)
+ else
{
- if (pe[i] != 0)
+ for (i = 1; i < 8; i++)
{
- enan (y);
- return;
+ if (pe[i] != 0)
+ {
+ enan (y, yy[0] != 0);
+ return;
+ }
}
}
-#endif
#endif /* NANS */
eclear (y);
einfin (y);
#endif /* INFINITY */
yy[E] = r;
p = &yy[M + 1];
-#ifdef IBMPC
- for (i = 0; i < 7; i++)
- *p++ = *(--e);
-#endif
-#ifdef MIEEE
- ++e;
- for (i = 0; i < 7; i++)
- *p++ = *e++;
+#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 denormal, remove the implied bit; else shift down 1. */
if (r == 0)
{
yy[M] = 0;
emovo (yy, y);
}
+/* Convert single precision float PE to e type Y. */
-/*
-; Convert IEEE single precision to e type
-; float d;
-; unsigned EMUSHORT x[N+2];
-; dtox (&d, x);
-*/
-void
+static void
e24toe (pe, y)
unsigned EMUSHORT *pe, *y;
{
e = pe;
denorm = 0; /* flag if denormalized number */
ecleaz (yy);
-#ifdef IBMPC
- e += 1;
+#ifdef IEEE
+ if (! REAL_WORDS_BIG_ENDIAN)
+ e += 1;
#endif
#ifdef DEC
e += 1;
if (r == 0x7f80)
{
#ifdef NANS
-#ifdef MIEEE
- if (((pe[0] & 0x7f) != 0) || (pe[1] != 0))
+ if (REAL_WORDS_BIG_ENDIAN)
{
- enan (y);
- return;
+ if (((pe[0] & 0x7f) != 0) || (pe[1] != 0))
+ {
+ enan (y, yy[0] != 0);
+ return;
+ }
}
-#else
- if (((pe[1] & 0x7f) != 0) || (pe[0] != 0))
+ else
{
- enan (y);
- return;
+ if (((pe[1] & 0x7f) != 0) || (pe[0] != 0))
+ {
+ enan (y, yy[0] != 0);
+ return;
+ }
}
-#endif
#endif /* NANS */
eclear (y);
einfin (y);
#endif /* INFINITY */
r >>= 7;
/* If zero exponent, then the significand is denormalized.
- * So, take back the understood high significand bit. */
+ So take back the understood high significand bit. */
if (r == 0)
{
denorm = 1;
r += EXONE - 0177;
yy[E] = r;
p = &yy[M + 1];
-#ifdef IBMPC
- *p++ = *(--e);
-#endif
#ifdef DEC
*p++ = *(--e);
#endif
-#ifdef MIEEE
- ++e;
- *p++ = *e++;
+#ifdef IEEE
+ if (! REAL_WORDS_BIG_ENDIAN)
+ *p++ = *(--e);
+ else
+ {
+ ++e;
+ *p++ = *e++;
+ }
#endif
eshift (yy, -8);
if (denorm)
#endif /* not IBM */
}
+/* Convert e-type X to IEEE 128-bit long double format E. */
-void
+static void
etoe113 (x, e)
unsigned EMUSHORT *x, *e;
{
#ifdef NANS
if (eisnan (x))
{
- make_nan (e, TFmode);
+ make_nan (e, eisneg (x), TFmode);
return;
}
#endif
toe113 (xi, e);
}
-/* move out internal format to ieee long double */
+/* 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)
unsigned EMUSHORT *a, *b;
#ifdef NANS
if (eiisnan (a))
{
- make_nan (b, TFmode);
+ make_nan (b, eiisneg (a), TFmode);
return;
}
#endif
p = a;
-#ifdef MIEEE
- q = b;
-#else
- q = b + 7; /* point to output exponent */
-#endif
+ if (REAL_WORDS_BIG_ENDIAN)
+ q = b;
+ else
+ q = b + 7; /* point to output exponent */
- /* If not denormal, delete the implied bit. */
+ /* If not denormal, delete the implied bit. */
if (a[E] != 0)
{
eshup1 (a);
}
/* combine sign and exponent */
i = *p++;
-#ifdef MIEEE
- if (i)
- *q++ = *p++ | 0x8000;
- else
- *q++ = *p++;
-#else
- if (i)
- *q-- = *p++ | 0x8000;
+ if (REAL_WORDS_BIG_ENDIAN)
+ {
+ if (i)
+ *q++ = *p++ | 0x8000;
+ else
+ *q++ = *p++;
+ }
else
- *q-- = *p++;
-#endif
+ {
+ if (i)
+ *q-- = *p++ | 0x8000;
+ else
+ *q-- = *p++;
+ }
/* skip over guard word */
++p;
/* move the significand */
-#ifdef MIEEE
- for (i = 0; i < 7; i++)
- *q++ = *p++;
-#else
- for (i = 0; i < 7; i++)
- *q-- = *p++;
-#endif
+ if (REAL_WORDS_BIG_ENDIAN)
+ {
+ for (i = 0; i < 7; i++)
+ *q++ = *p++;
+ }
+ else
+ {
+ for (i = 0; i < 7; i++)
+ *q-- = *p++;
+ }
}
-void
+/* Convert e-type X to IEEE double extended format E. */
+
+static void
etoe64 (x, e)
unsigned EMUSHORT *x, *e;
{
#ifdef NANS
if (eisnan (x))
{
- make_nan (e, XFmode);
+ make_nan (e, eisneg (x), XFmode);
return;
}
#endif
toe64 (xi, e);
}
-/* move out internal format to ieee long double */
+/* 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)
unsigned EMUSHORT *a, *b;
#ifdef NANS
if (eiisnan (a))
{
- make_nan (b, XFmode);
+ 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;
-#if defined(MIEEE) || defined(IBM)
+#ifdef IBM
q = b;
-#else
- q = b + 4; /* point to output exponent */
+#endif
+#ifdef DEC
+ q = b + 4;
+#endif
+#ifdef IEEE
+ if (REAL_WORDS_BIG_ENDIAN)
+ q = b;
+ else
+ {
+ q = b + 4; /* point to output exponent */
#if LONG_DOUBLE_TYPE_SIZE == 96
- /* Clear the last two bytes of 12-byte Intel format */
- *(q+1) = 0;
+ /* Clear the last two bytes of 12-byte Intel format */
+ *(q+1) = 0;
#endif
+ }
#endif
/* combine sign and exponent */
i = *p++;
-#if defined(MIEEE) || defined(IBM)
+#ifdef IBM
if (i)
*q++ = *p++ | 0x8000;
else
*q++ = *p++;
*q++ = 0;
-#else
+#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 */
-#if defined(MIEEE) || defined(IBM)
+#ifdef IBM
for (i = 0; i < 4; i++)
*q++ = *p++;
-#else
+#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 IEEE double precision
-; double d;
-; unsigned EMUSHORT x[NE];
-; etoe53 (x, &d);
-*/
+/* e type to double precision. */
#ifdef DEC
+/* Convert e-type X to DEC-format double E. */
-void
+static void
etoe53 (x, e)
unsigned EMUSHORT *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)
unsigned EMUSHORT *x, *y;
#else
#ifdef IBM
+/* Convert e-type X to IBM 370-format double E. */
-void
+static void
etoe53 (x, e)
unsigned EMUSHORT *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)
unsigned EMUSHORT *x, *y;
#else /* it's neither DEC nor IBM */
-void
+/* Convert e-type X to IEEE double E. */
+
+static void
etoe53 (x, e)
unsigned EMUSHORT *x, *e;
{
#ifdef NANS
if (eisnan (x))
{
- make_nan (e, DFmode);
+ make_nan (e, eisneg (x), DFmode);
return;
}
#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)
#ifdef NANS
if (eiisnan (x))
{
- make_nan (y, DFmode);
+ make_nan (y, eiisneg (x), DFmode);
return;
}
#endif
p = &x[0];
-#ifdef IBMPC
- y += 3;
+#ifdef IEEE
+ if (! REAL_WORDS_BIG_ENDIAN)
+ y += 3;
#endif
*y = 0; /* output high order */
if (*p++)
i = *p++;
if (i >= (unsigned int) 2047)
- { /* Saturate at largest number less than infinity. */
+ {
+ /* Saturate at largest number less than infinity. */
#ifdef INFINITY
*y |= 0x7ff0;
-#ifdef IBMPC
- *(--y) = 0;
- *(--y) = 0;
- *(--y) = 0;
-#endif
-#ifdef MIEEE
- ++y;
- *y++ = 0;
- *y++ = 0;
- *y++ = 0;
-#endif
+ if (! REAL_WORDS_BIG_ENDIAN)
+ {
+ *(--y) = 0;
+ *(--y) = 0;
+ *(--y) = 0;
+ }
+ else
+ {
+ ++y;
+ *y++ = 0;
+ *y++ = 0;
+ *y++ = 0;
+ }
#else
*y |= (unsigned EMUSHORT) 0x7fef;
-#ifdef IBMPC
- *(--y) = 0xffff;
- *(--y) = 0xffff;
- *(--y) = 0xffff;
-#endif
-#ifdef MIEEE
- ++y;
- *y++ = 0xffff;
- *y++ = 0xffff;
- *y++ = 0xffff;
-#endif
+ if (! REAL_WORDS_BIG_ENDIAN)
+ {
+ *(--y) = 0xffff;
+ *(--y) = 0xffff;
+ *(--y) = 0xffff;
+ }
+ else
+ {
+ ++y;
+ *y++ = 0xffff;
+ *y++ = 0xffff;
+ *y++ = 0xffff;
+ }
#endif
return;
}
}
i |= *p++ & (unsigned EMUSHORT) 0x0f; /* *p = xi[M] */
*y |= (unsigned EMUSHORT) i; /* high order output already has sign bit set */
-#ifdef IBMPC
- *(--y) = *p++;
- *(--y) = *p++;
- *(--y) = *p;
-#endif
-#ifdef MIEEE
- ++y;
- *y++ = *p++;
- *y++ = *p++;
- *y++ = *p++;
-#endif
+ if (! REAL_WORDS_BIG_ENDIAN)
+ {
+ *(--y) = *p++;
+ *(--y) = *p++;
+ *(--y) = *p;
+ }
+ else
+ {
+ ++y;
+ *y++ = *p++;
+ *y++ = *p++;
+ *y++ = *p++;
+ }
}
#endif /* not IBM */
-/*
-; e type to IEEE single precision
-; float d;
-; unsigned EMUSHORT x[N+2];
-; xtod (x, &d);
-*/
+/* e type to single precision. */
+
#ifdef IBM
+/* Convert e-type X to IBM 370 float E. */
-void
+static void
etoe24 (x, e)
unsigned EMUSHORT *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)
unsigned EMUSHORT *x, *y;
}
#else
+/* Convert e-type X to IEEE float E. DEC float is the same as IEEE float. */
-void
+static void
etoe24 (x, e)
unsigned EMUSHORT *x, *e;
{
#ifdef NANS
if (eisnan (x))
{
- make_nan (e, SFmode);
+ make_nan (e, eisneg (x), SFmode);
return;
}
#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)
unsigned EMUSHORT *x, *y;
#ifdef NANS
if (eiisnan (x))
{
- make_nan (y, SFmode);
+ make_nan (y, eiisneg (x), SFmode);
return;
}
#endif
p = &x[0];
-#ifdef IBMPC
- y += 1;
+#ifdef IEEE
+ if (! REAL_WORDS_BIG_ENDIAN)
+ y += 1;
#endif
#ifdef DEC
y += 1;
*y = 0x8000; /* output sign bit */
i = *p++;
-/* Handle overflow cases. */
+/* Handle overflow cases. */
if (i >= 255)
{
#ifdef INFINITY
*y |= (unsigned EMUSHORT) 0x7f80;
-#ifdef IBMPC
- *(--y) = 0;
-#endif
#ifdef DEC
*(--y) = 0;
#endif
-#ifdef MIEEE
- ++y;
- *y = 0;
+#ifdef IEEE
+ if (! REAL_WORDS_BIG_ENDIAN)
+ *(--y) = 0;
+ else
+ {
+ ++y;
+ *y = 0;
+ }
#endif
#else /* no INFINITY */
*y |= (unsigned EMUSHORT) 0x7f7f;
-#ifdef IBMPC
- *(--y) = 0xffff;
-#endif
#ifdef DEC
*(--y) = 0xffff;
#endif
-#ifdef MIEEE
- ++y;
- *y = 0xffff;
+#ifdef IEEE
+ if (! REAL_WORDS_BIG_ENDIAN)
+ *(--y) = 0xffff;
+ else
+ {
+ ++y;
+ *y = 0xffff;
+ }
#endif
#ifdef ERANGE
errno = ERANGE;
eshift (x, 8);
}
i |= *p++ & (unsigned EMUSHORT) 0x7f; /* *p = xi[M] */
- *y |= i; /* high order output already has sign bit set */
-#ifdef IBMPC
- *(--y) = *p;
-#endif
+ /* High order output already has sign bit set. */
+ *y |= i;
#ifdef DEC
*(--y) = *p;
#endif
-#ifdef MIEEE
- ++y;
- *y = *p;
+#ifdef IEEE
+ if (! REAL_WORDS_BIG_ENDIAN)
+ *(--y) = *p;
+ else
+ {
+ ++y;
+ *y = *p;
+ }
#endif
}
#endif /* not IBM */
-/* Compare two e type numbers.
- *
- * unsigned EMUSHORT a[NE], b[NE];
- * ecmp (a, b);
- *
- * returns +1 if a > b
- * 0 if a == b
- * -1 if a < b
- * -2 if either a or b is a NaN.
- */
-int
+/* 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)
unsigned EMUSHORT *a, *b;
{
return (0); /* equality */
-
-
diff:
if (*(--p) > *(--q))
return (-msign); /* p is littler */
}
+/* Find e-type nearest integer to X, as floor (X + 0.5). */
-
-
-/* Find nearest integer to x = floor (x + 0.5)
- *
- * unsigned EMUSHORT x[NE], y[NE]
- * eround (x, y);
- */
-void
+static void
eround (x, y)
unsigned EMUSHORT *x, *y;
{
efloor (y, y);
}
+/* Convert HOST_WIDE_INT LP to e type Y. */
-
-
-/*
-; convert long integer to e type
-;
-; long l;
-; unsigned EMUSHORT x[NE];
-; ltoe (&l, x);
-; note &l is the memory address of l
-*/
-void
+static void
ltoe (lp, y)
- long *lp; /* lp is the memory address of a long integer */
- unsigned EMUSHORT *y; /* y is the address of a short */
+ HOST_WIDE_INT *lp;
+ unsigned EMUSHORT *y;
{
unsigned EMUSHORT yi[NI];
- unsigned long ll;
+ unsigned HOST_WIDE_INT ll;
int k;
ecleaz (yi);
if (*lp < 0)
{
/* make it positive */
- ll = (unsigned long) (-(*lp));
+ ll = (unsigned HOST_WIDE_INT) (-(*lp));
yi[0] = 0xffff; /* put correct sign in the e type number */
}
else
{
- ll = (unsigned long) (*lp);
+ ll = (unsigned HOST_WIDE_INT) (*lp);
}
/* move the long integer to yi significand area */
-#if HOST_BITS_PER_LONG == 64
+#if HOST_BITS_PER_WIDE_INT == 64
yi[M] = (unsigned EMUSHORT) (ll >> 48);
yi[M + 1] = (unsigned EMUSHORT) (ll >> 32);
yi[M + 2] = (unsigned EMUSHORT) (ll >> 16);
emovo (yi, y); /* output the answer */
}
-/*
-; convert unsigned long integer to e type
-;
-; unsigned long l;
-; unsigned EMUSHORT x[NE];
-; ltox (&l, x);
-; note &l is the memory address of l
-*/
-void
+/* Convert unsigned HOST_WIDE_INT LP to e type Y. */
+
+static void
ultoe (lp, y)
- unsigned long *lp; /* lp is the memory address of a long integer */
- unsigned EMUSHORT *y; /* y is the address of a short */
+ unsigned HOST_WIDE_INT *lp;
+ unsigned EMUSHORT *y;
{
unsigned EMUSHORT yi[NI];
- unsigned long ll;
+ unsigned HOST_WIDE_INT ll;
int k;
ecleaz (yi);
ll = *lp;
/* move the long integer to ayi significand area */
-#if HOST_BITS_PER_LONG == 64
+#if HOST_BITS_PER_WIDE_INT == 64
yi[M] = (unsigned EMUSHORT) (ll >> 48);
yi[M + 1] = (unsigned EMUSHORT) (ll >> 32);
yi[M + 2] = (unsigned EMUSHORT) (ll >> 16);
}
-/*
-; Find long integer and fractional parts
-
-; long i;
-; unsigned EMUSHORT x[NE], frac[NE];
-; xifrac (x, &i, frac);
+/* 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). */
- The integer output has the sign of the input. The fraction is
-the positive fractional part of abs (x).
-*/
-void
+static void
eifrac (x, i, frac)
unsigned EMUSHORT *x;
- long *i;
+ HOST_WIDE_INT *i;
unsigned EMUSHORT *frac;
{
unsigned EMUSHORT xi[NI];
int j, k;
- unsigned long ll;
+ unsigned HOST_WIDE_INT ll;
emovi (x, xi);
k = (int) xi[E] - (EXONE - 1);
emovo (xi, frac);
return;
}
- if (k > (HOST_BITS_PER_LONG - 1))
+ if (k > (HOST_BITS_PER_WIDE_INT - 1))
{
/* long integer overflow: output large integer
and correct fraction */
if (xi[0])
- *i = ((unsigned long) 1) << (HOST_BITS_PER_LONG - 1);
+ *i = ((unsigned HOST_WIDE_INT) 1) << (HOST_BITS_PER_WIDE_INT - 1);
else
- *i = (((unsigned long) 1) << (HOST_BITS_PER_LONG - 1)) - 1;
+ {
+#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");
{
/* shift not more than 16 bits */
eshift (xi, k);
- *i = (long) xi[M] & 0xffff;
+ *i = (HOST_WIDE_INT) xi[M] & 0xffff;
if (xi[0])
*i = -(*i);
}
}
-/* Find unsigned long integer and fractional parts.
- A negative e type input yields integer output = 0
- but correct fraction. */
+/* 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. */
-void
+static void
euifrac (x, i, frac)
unsigned EMUSHORT *x;
- unsigned long *i;
+ unsigned HOST_WIDE_INT *i;
unsigned EMUSHORT *frac;
{
- unsigned long ll;
+ unsigned HOST_WIDE_INT ll;
unsigned EMUSHORT xi[NI];
int j, k;
emovo (xi, frac);
return;
}
- if (k > HOST_BITS_PER_LONG)
+ if (k > HOST_BITS_PER_WIDE_INT)
{
/* Long integer overflow: output large integer
and correct fraction.
{
/* shift not more than 16 bits */
eshift (xi, k);
- *i = (long) xi[M] & 0xffff;
+ *i = (HOST_WIDE_INT) xi[M] & 0xffff;
}
- if (xi[0]) /* A negative value yields unsigned integer 0. */
+ if (xi[0]) /* A negative value yields unsigned integer 0. */
*i = 0L;
xi[0] = 0;
emovo (xi, frac);
}
+/* Shift the significand of exploded e-type X up or down by SC bits. */
-
-/*
-; Shift significand
-;
-; Shifts significand area up or down by the number of bits
-; given by the variable sc.
-*/
-int
+static int
eshift (x, sc)
unsigned EMUSHORT *x;
int sc;
return ((int) lost);
}
+/* Shift normalize the significand area of exploded e-type X.
+ Return the shift count (up = positive). */
-
-/*
-; normalize
-;
-; Shift normalizes the significand area pointed to by argument
-; shift count (up = positive) is returned.
-*/
-int
+static int
enormlz (x)
unsigned EMUSHORT x[];
{
{
eshup6 (x);
sc += 16;
+
/* With guard word, there are NBITS+16 bits available.
- * return true if all are zero.
- */
+ Return true if all are zero. */
if (sc > NBITS)
return (sc);
}
return (sc);
}
-
-
-
-/* Convert e type number to decimal format ASCII string.
- * The constants are for 64 bit precision.
- */
+/* Powers of ten used in decimal <-> binary conversions. */
#define NTEN 12
#define MAXP 4096
};
#endif
-void
+/* Convert float value X to ASCII string STRING with NDIG digits after
+ the decimal point. */
+
+static void
e24toasc (x, string, ndigs)
unsigned EMUSHORT x[];
char *string;
etoasc (w, string, ndigs);
}
+/* Convert double value X to ASCII string STRING with NDIG digits after
+ the decimal point. */
-void
+static void
e53toasc (x, string, ndigs)
unsigned EMUSHORT x[];
char *string;
etoasc (w, string, ndigs);
}
+/* Convert double extended value X to ASCII string STRING with NDIG digits
+ after the decimal point. */
-void
+static void
e64toasc (x, string, ndigs)
unsigned EMUSHORT x[];
char *string;
etoasc (w, string, ndigs);
}
-void
+/* Convert 128-bit long double value X to ASCII string STRING with NDIG digits
+ after the decimal point. */
+
+static void
e113toasc (x, string, ndigs)
unsigned EMUSHORT x[];
char *string;
etoasc (w, string, ndigs);
}
+/* Convert e-type X to ASCII string STRING with NDIGS digits after
+ the decimal point. */
static char wstring[80]; /* working storage for ASCII output */
-void
+static void
etoasc (x, string, ndigs)
unsigned EMUSHORT x[];
char *string;
if (y[k] != 0)
goto tnzro; /* denormalized number */
}
- goto isone; /* legal all zeros */
+ goto isone; /* valid all zeros */
}
tnzro:
- /* Test for infinity. */
+ /* Test for infinity. */
if (y[NE - 1] == 0x7fff)
{
if (sign)
if (i < 0)
{ /* Number is greater than 1 */
- /* Convert significand to an integer and strip trailing decimal zeros. */
+ /* Convert significand to an integer and strip trailing decimal zeros. */
emov (y, u);
u[NE - 1] = EXONE + NBITS - 1;
emov (eone, t);
m = MAXP;
p = &etens[0][0];
- /* An unordered compare result shouldn't happen here. */
+ /* An unordered compare result shouldn't happen here. */
while (ecmp (ten, u) <= 0)
{
if (ecmp (p, u) <= 0)
}
else
{ /* Number is less than 1.0 */
- /* Pad significand with trailing decimal zeros. */
+ /* Pad significand with trailing decimal zeros. */
if (y[NE - 1] == 0)
{
while ((y[NE - 2] & 0x8000) == 0)
ediv (t, eone, t);
}
isone:
- /* Find the first (leading) digit. */
+ /* Find the first (leading) digit. */
emovi (t, w);
emovz (w, t);
emovi (y, w);
*s++ = '-';
else
*s++ = ' ';
- /* Examine number of digits requested by caller. */
+ /* Examine number of digits requested by caller. */
if (ndigs < 0)
ndigs = 0;
if (ndigs > NDEC)
*s++ = (char)digit + '0';
*s++ = '.';
}
- /* Generate digits after the decimal point. */
+ /* Generate digits after the decimal point. */
for (k = 0; k <= ndigs; k++)
{
/* multiply current number by 10, without normalizing */
/* round off the ASCII string */
if (digit > 4)
{
- /* Test for critical rounding case in ASCII output. */
+ /* Test for critical rounding case in ASCII output. */
if (digit == 5)
{
emovo (y, t);
}
+/* 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). */
-/*
-; ASCTOQ
-; ASCTOQ.MAC LATEST REV: 11 JAN 84
-; SLM, 3 JAN 78
-;
-; Convert ASCII string to quadruple precision floating point
-;
-; Numeric input is free field decimal number
-; with max of 15 digits with or without
-; decimal point entered as ASCII from teletype.
-; Entering E after the number followed by a second
-; number causes the second number to be interpreted
-; as a power of 10 to be multiplied by the first number
-; (i.e., "scientific" notation).
-;
-; Usage:
-; asctoq (string, q);
-*/
-
-/* ASCII to single */
-void
+/* Convert ASCII string S to single precision float value Y. */
+
+static void
asctoe24 (s, y)
char *s;
unsigned EMUSHORT *y;
}
-/* ASCII to double */
-void
+/* Convert ASCII string S to double precision value Y. */
+
+static void
asctoe53 (s, y)
char *s;
unsigned EMUSHORT *y;
}
-/* ASCII to long double */
-void
+/* Convert ASCII string S to double extended value Y. */
+
+static void
asctoe64 (s, y)
char *s;
unsigned EMUSHORT *y;
asctoeg (s, y, 64);
}
-/* ASCII to 128-bit long double */
-void
+/* Convert ASCII string S to 128-bit long double Y. */
+
+static void
asctoe113 (s, y)
char *s;
unsigned EMUSHORT *y;
asctoeg (s, y, 113);
}
-/* ASCII to super double */
-void
+/* Convert ASCII string S to e type Y. */
+
+static void
asctoe (s, y)
char *s;
unsigned EMUSHORT *y;
asctoeg (s, y, NBITS);
}
+/* Convert ASCII string SS to e type Y, with a specified rounding precision
+ of OPREC bits. */
-/* ASCII to e type, with specified rounding precision = oprec. */
-void
+static void
asctoeg (ss, y, oprec)
char *ss;
unsigned EMUSHORT *y;
unsigned EMUSHORT nsign, *p;
char *sp, *s, *lstr;
- /* Copy the input string. */
+ /* Copy the input string. */
lstr = (char *) alloca (strlen (ss) + 1);
s = ss;
while (*s == ' ') /* skip leading spaces */
/* Ignore leading zeros */
if ((prec == 0) && (decflg == 0) && (k == 0))
goto donchr;
- /* Identify and strip trailing zeros after the decimal point. */
+ /* Identify and strip trailing zeros after the decimal point. */
if ((trail == 0) && (decflg != 0))
{
sp = s;
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.
- */
+ continuing until overflow into the high guard word yy[2]
+ guarantees that there will be a roundoff bit at the top
+ of the low guard word after normalization. */
+
if (yy[2] == 0)
{
if (decflg)
/* 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;
daldone:
nexp = exp - nexp;
- /* Pad trailing zeros to minimize power of 10, per IEEE spec. */
+ /* Pad trailing zeros to minimize power of 10, per IEEE spec. */
while ((nexp > 0) && (yy[2] == 0))
{
emovz (yy, xt);
}
lexp = (EXONE - 1 + NBITS) - k;
emdnorm (yy, lost, 0, lexp, 64);
- /* convert to external format */
+ /* 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. */
- /* 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)
{
nexp = -nexp;
esign = -1;
if (nexp > 4096)
- { /* Punt. Can't handle this without 2 divides. */
+ {
+ /* Punt. Can't handle this without 2 divides. */
emovi (etens[0], tt);
lexp -= tt[E];
k = edivm (tt, yy);
-/* y = largest integer not greater than x
- * (truncated toward minus infinity)
- *
- * unsigned EMUSHORT x[NE], y[NE]
- *
- * efloor (x, y);
- */
+/* Return Y = largest integer not greater than X (truncated toward minus
+ infinity). */
+
static unsigned EMUSHORT bmask[] =
{
0xffff,
0x0000,
};
-void
+static void
efloor (x, y)
unsigned EMUSHORT x[], y[];
{
}
-/* unsigned EMUSHORT x[], s[];
- * int *exp;
- *
- * efrexp (x, exp, s);
- *
- * Returns s and exp such that s * 2**exp = x and .5 <= s < 1.
- * For example, 1.1 = 0.55 * 2**1
- * Handles denormalized numbers properly using long integer exp.
- */
-void
+/* 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)
unsigned EMUSHORT x[];
int *exp;
EMULONG li;
emovi (x, xi);
+ /* Handle denormalized numbers properly using long integer exponent. */
li = (EMULONG) ((EMUSHORT) xi[1]);
if (li == 0)
*exp = (int) (li - 0x3ffe);
}
+/* Return e type Y = X * 2^PWR2. */
-
-/* unsigned EMUSHORT x[], y[];
- * long pwr2;
- *
- * eldexp (x, pwr2, y);
- *
- * Returns y = x * 2**pwr2.
- */
-void
+static void
eldexp (x, pwr2, y)
unsigned EMUSHORT x[];
int pwr2;
}
-/* c = remainder after dividing b by a
- * Least significant integer quotient bits left in equot[].
- */
-void
+/* 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)
unsigned EMUSHORT a[], b[], c[];
{
|| eisnan (a)
|| eisnan (b))
{
- enan (c);
+ enan (c, 0);
return;
}
#endif
emovo (num, c);
}
-void
+/* Return quotient of exploded e-types NUM / DEN in EQUOT,
+ remainder in NUM. */
+
+static void
eiremain (den, num)
unsigned EMUSHORT den[], num[];
{
j = 1;
}
else
- {
j = 0;
- }
eshup1 (equot);
equot[NI - 1] |= j;
eshup1 (num);
emdnorm (num, 0, 0, ln, 0);
}
-/* mtherr.c
- *
- * Library common error handling routine
- *
- *
- *
- * SYNOPSIS:
- *
- * char *fctnam;
- * int code;
- * void mtherr ();
- *
- * mtherr (fctnam, code);
- *
- *
- *
- * DESCRIPTION:
- *
- * This routine may be called to report one of the following
- * error conditions (in the include file mconf.h).
- *
- * 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 default version of the file prints the function name,
- * passed to it by the pointer fctnam, followed by the
- * error condition. The display is directed to the standard
- * output device. The routine then returns to the calling
- * program. Users may wish to modify the program to abort by
- * calling exit under severe error conditions such as domain
- * errors.
- *
- * Since all error conditions pass control to this function,
- * the display may be easily changed, eliminated, or directed
- * to an error logging device.
- *
- * SEE ALSO:
- *
- * mconf.h
- *
- */
-\f
-/*
-Cephes Math Library Release 2.0: April, 1987
-Copyright 1984, 1987 by Stephen L. Moshier
-Direct inquiries to 30 Frost Street, Cambridge, MA 02140
-*/
-
-/* include "mconf.h" */
+/* Report an error condition CODE encountered in function NAME.
+ CODE is one of the following:
+
+ 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. */
-/* Notice: the order of appearance of the following
- * messages is bound to the error codes defined
- * in mconf.h.
- */
#define NMSGS 8
static char *ermsg[NMSGS] =
{
int merror = 0;
extern int merror;
-void
+static void
mtherr (name, code)
char *name;
int code;
{
char errstr[80];
- /* Display string passed by calling program,
- * which is supposed to be the name of the
- * function in which the error occurred.
- */
+ /* 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. */
- /* Display error message defined
- * by the code argument.
- */
if ((code <= 0) || (code >= NMSGS))
code = 0;
sprintf (errstr, " %s %s error", name, ermsg[code]);
warning (errstr);
/* Set global error message word */
merror = code + 1;
-
- /* Return to calling
- * program
- */
}
#ifdef DEC
-/* Here is etodec.c .
- *
- */
+/* Convert DEC double precision D to e type E. */
-/*
-; convert DEC double precision to e type
-; double d;
-; EMUSHORT e[NE];
-; dectoe (&d, e);
-*/
-void
+static void
dectoe (d, e)
unsigned EMUSHORT *d;
unsigned EMUSHORT *e;
emovo (y, e);
}
+/* Convert e type X to DEC double precision D. */
-
-/*
-; convert e type to DEC double precision
-; double d;
-; EMUSHORT e[NE];
-; etodec (e, &d);
-*/
-
-void
+static void
etodec (x, d)
unsigned EMUSHORT *x, *d;
{
int rndsav;
emovi (x, xi);
- exp = (EMULONG) xi[E] - (EXONE - 0201); /* adjust exponent for offsets */
-/* round off to nearest or even */
+ /* 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);
todec (xi, d);
}
-void
+/* Convert exploded e-type X, that has already been rounded to
+ 56-bit precision, to DEC format double Y. */
+
+static void
todec (x, y)
unsigned EMUSHORT *x, *y;
{
#endif /* DEC */
#ifdef IBM
-/* Here is etoibm
- *
- */
+/* Convert IBM single/double precision to e type. */
-/*
-; convert IBM single/double precision to e type
-; single/double d;
-; EMUSHORT e[NE];
-; enum machine_mode mode; SFmode/DFmode
-; ibmtoe (&d, e, mode);
-*/
-void
+static void
ibmtoe (d, e, mode)
unsigned EMUSHORT *d;
unsigned EMUSHORT *e;
-/*
-; convert e type to IBM single/double precision
-; single/double d;
-; EMUSHORT e[NE];
-; enum machine_mode mode; SFmode/DFmode
-; etoibm (e, &d, mode);
-*/
+/* Convert e type to IBM single/double precision. */
-void
+static void
etoibm (x, d, mode)
unsigned EMUSHORT *x, *d;
enum machine_mode mode;
toibm (xi, d, mode);
}
-void
+static void
toibm (x, y, mode)
unsigned EMUSHORT *x, *y;
enum machine_mode mode;
/* 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. */
+ patterns here. */
#ifdef TFMODE_NAN
TFMODE_NAN;
#else
-#ifdef MIEEE
-unsigned EMUSHORT TFnan[8] =
+#ifdef IEEE
+unsigned EMUSHORT TFbignan[8] =
{0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff};
-#endif
-#ifdef IBMPC
-unsigned EMUSHORT TFnan[8] = {0, 0, 0, 0, 0, 0, 0x8000, 0xffff};
+unsigned EMUSHORT TFlittlenan[8] = {0, 0, 0, 0, 0, 0, 0x8000, 0xffff};
#endif
#endif
#ifdef XFMODE_NAN
XFMODE_NAN;
#else
-#ifdef MIEEE
-unsigned EMUSHORT XFnan[6] = {0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff};
-#endif
-#ifdef IBMPC
-unsigned EMUSHORT XFnan[6] = {0, 0, 0, 0xc000, 0xffff, 0};
+#ifdef IEEE
+unsigned EMUSHORT XFbignan[6] =
+ {0x7fff, 0xffff, 0xffff, 0xffff, 0xffff, 0xffff};
+unsigned EMUSHORT XFlittlenan[6] = {0, 0, 0, 0xc000, 0xffff, 0};
#endif
#endif
#ifdef DFMODE_NAN
DFMODE_NAN;
#else
-#ifdef MIEEE
-unsigned EMUSHORT DFnan[4] = {0x7fff, 0xffff, 0xffff, 0xffff};
-#endif
-#ifdef IBMPC
-unsigned EMUSHORT DFnan[4] = {0, 0, 0, 0xfff8};
+#ifdef IEEE
+unsigned EMUSHORT DFbignan[4] = {0x7fff, 0xffff, 0xffff, 0xffff};
+unsigned EMUSHORT DFlittlenan[4] = {0, 0, 0, 0xfff8};
#endif
#endif
#ifdef SFMODE_NAN
SFMODE_NAN;
#else
-#ifdef MIEEE
-unsigned EMUSHORT SFnan[2] = {0x7fff, 0xffff};
-#endif
-#ifdef IBMPC
-unsigned EMUSHORT SFnan[2] = {0, 0xffc0};
+#ifdef IEEE
+unsigned EMUSHORT SFbignan[2] = {0x7fff, 0xffff};
+unsigned EMUSHORT SFlittlenan[2] = {0, 0xffc0};
#endif
#endif
-void
-make_nan (nan, mode)
-unsigned EMUSHORT *nan;
-enum machine_mode mode;
+static void
+make_nan (nan, sign, mode)
+ unsigned EMUSHORT *nan;
+ int sign;
+ enum machine_mode mode;
{
- int i, n;
+ int n;
unsigned EMUSHORT *p;
- n = 0;
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. */
+ used like NaN's, but probably not in the same way as IEEE. */
#if !defined(DEC) && !defined(IBM)
case TFmode:
n = 8;
- p = TFnan;
+ if (REAL_WORDS_BIG_ENDIAN)
+ p = TFbignan;
+ else
+ p = TFlittlenan;
break;
case XFmode:
n = 6;
- p = XFnan;
+ if (REAL_WORDS_BIG_ENDIAN)
+ p = XFbignan;
+ else
+ p = XFlittlenan;
break;
case DFmode:
n = 4;
- p = DFnan;
+ if (REAL_WORDS_BIG_ENDIAN)
+ p = DFbignan;
+ else
+ p = DFlittlenan;
break;
+ case HFmode:
case SFmode:
n = 2;
- p = SFnan;
+ if (REAL_WORDS_BIG_ENDIAN)
+ p = SFbignan;
+ else
+ p = SFlittlenan;
break;
#endif
default:
abort ();
}
- for (i=0; i < n; i++)
+ if (REAL_WORDS_BIG_ENDIAN)
+ *nan++ = (sign << 15) | *p++;
+ while (--n != 0)
*nan++ = *p++;
+ if (! REAL_WORDS_BIG_ENDIAN)
+ *nan = (sign << 15) | *p;
}
/* Convert an SFmode target `float' value to a REAL_VALUE_TYPE.
REAL_VALUE_TYPE
ereal_from_float (f)
- unsigned long f;
+ HOST_WIDE_INT f;
{
REAL_VALUE_TYPE r;
unsigned EMUSHORT s[2];
/* 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 WORDS_BIG_ENDIAN
- s[0] = (unsigned EMUSHORT) (f >> 16);
- s[1] = (unsigned EMUSHORT) f;
-#else
- s[0] = (unsigned EMUSHORT) f;
- s[1] = (unsigned EMUSHORT) (f >> 16);
-#endif
- /* Convert and promote the target float to E-type. */
+ if (REAL_WORDS_BIG_ENDIAN)
+ {
+ s[0] = (unsigned EMUSHORT) (f >> 16);
+ s[1] = (unsigned EMUSHORT) f;
+ }
+ else
+ {
+ s[0] = (unsigned EMUSHORT) f;
+ s[1] = (unsigned EMUSHORT) (f >> 16);
+ }
+ /* Convert and promote the target float to E-type. */
e24toe (s, e);
- /* Output E-type to REAL_VALUE_TYPE. */
+ /* 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.
- The DFmode is stored as an array of longs (i.e., HOST_WIDE_INTs)
- with 32 bits of the value per each long. The first element
+ 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)
- unsigned long d[];
+ HOST_WIDE_INT d[];
{
REAL_VALUE_TYPE r;
unsigned EMUSHORT s[4];
unsigned EMUSHORT e[NE];
- /* Convert array of 32 bit pieces to equivalent array of 16 bit pieces.
- This is the inverse of `endian'. */
-#if WORDS_BIG_ENDIAN
- s[0] = (unsigned EMUSHORT) (d[0] >> 16);
- s[1] = (unsigned EMUSHORT) d[0];
- s[2] = (unsigned EMUSHORT) (d[1] >> 16);
- s[3] = (unsigned EMUSHORT) d[1];
+ /* Convert array of HOST_WIDE_INT to equivalent array of 16-bit pieces. */
+ if (REAL_WORDS_BIG_ENDIAN)
+ {
+ s[0] = (unsigned EMUSHORT) (d[0] >> 16);
+ s[1] = (unsigned EMUSHORT) d[0];
+#if HOST_BITS_PER_WIDE_INT == 32
+ s[2] = (unsigned EMUSHORT) (d[1] >> 16);
+ s[3] = (unsigned EMUSHORT) 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[2] = (unsigned EMUSHORT) (d[0] >> 48);
+ s[3] = (unsigned EMUSHORT) (d[0] >> 32);
+#endif
+ }
+ else
+ {
+ /* Target float words are little-endian. */
+ s[0] = (unsigned EMUSHORT) d[0];
+ s[1] = (unsigned EMUSHORT) (d[0] >> 16);
+#if HOST_BITS_PER_WIDE_INT == 32
+ s[2] = (unsigned EMUSHORT) d[1];
+ s[3] = (unsigned EMUSHORT) (d[1] >> 16);
#else
- s[0] = (unsigned EMUSHORT) d[0];
- s[1] = (unsigned EMUSHORT) (d[0] >> 16);
- s[2] = (unsigned EMUSHORT) d[1];
- s[3] = (unsigned EMUSHORT) (d[1] >> 16);
+ s[2] = (unsigned EMUSHORT) (d[0] >> 32);
+ s[3] = (unsigned EMUSHORT) (d[0] >> 48);
#endif
- /* Convert target double to E-type. */
+ }
+ /* Convert target double to E-type. */
e53toe (s, e);
- /* Output E-type to REAL_VALUE_TYPE. */
+ /* Output E-type to REAL_VALUE_TYPE. */
PUT_REAL (e, &r);
return r;
}
-/* Convert target computer unsigned 64-bit integer to e-type. */
+/* 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. */
-void
+static void
uditoe (di, e)
- unsigned EMUSHORT *di; /* Address of the 64-bit int. */
+ unsigned EMUSHORT *di; /* Address of the 64-bit int. */
unsigned EMUSHORT *e;
{
unsigned EMUSHORT 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++;
-#endif
+ 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 */
emovo (yi, e);
}
-/* Convert target computer signed 64-bit integer to e-type. */
+/* Convert target computer signed 64-bit integer to e-type. */
-void
+static void
ditoe (di, e)
- unsigned EMUSHORT *di; /* Address of the 64-bit int. */
+ unsigned EMUSHORT *di; /* Address of the 64-bit int. */
unsigned EMUSHORT *e;
{
unsigned EMULONG acc;
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++;
-#endif
+ 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)
}
-/* Convert e-type to unsigned 64-bit int. */
+/* Convert e-type to unsigned 64-bit int. */
-void
+static void
etoudi (x, i)
unsigned EMUSHORT *x;
unsigned EMUSHORT *i;
if (j == 0)
j = 16;
eshift (xi, j);
-#if WORDS_BIG_ENDIAN
- *i++ = xi[M];
-#else
- i += 3;
- *i-- = xi[M];
-#endif
+ 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];
-#endif
+ if (WORDS_BIG_ENDIAN)
+ *i++ = xi[M];
+ else
+ *i-- = xi[M];
}
while ((k -= 16) > 0);
}
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;
-#endif
+ 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. */
+/* Convert e-type to signed 64-bit int. */
-void
+static void
etodi (x, i)
unsigned EMUSHORT *x;
unsigned EMUSHORT *i;
if (j == 0)
j = 16;
eshift (xi, j);
-#if WORDS_BIG_ENDIAN
- *i++ = xi[M];
-#else
- i += 3;
- *i-- = xi[M];
-#endif
+ 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];
-#endif
+ if (WORDS_BIG_ENDIAN)
+ *i++ = xi[M];
+ else
+ *i-- = xi[M];
}
while ((k -= 16) > 0);
}
/* 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;
-#endif
+ 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;
-#endif
+ 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;
-#endif
+ if (WORDS_BIG_ENDIAN)
+ *isave-- = acc;
+ else
+ *isave++ = acc;
carry = 0;
if (acc & 0x10000)
carry = 1;
}
-/* Longhand square root routine. */
+/* Longhand square root routine. */
static int esqinited = 0;
static unsigned short sqrndbit[NI];
-void
+static void
esqrt (x, y)
unsigned EMUSHORT *x, *y;
{
i = ecmp (x, ezero);
if (i <= 0)
{
-#ifdef NANS
- if (i == -2)
+ if (i == -1)
{
- enan (y);
- return;
+ mtherr ("esqrt", DOMAIN);
+ eclear (y);
}
-#endif
- eclear (y);
- if (i < 0)
- mtherr ("esqrt", DOMAIN);
+ else
+ emov (x, y);
return;
}
return;
}
#endif
- /* Bring in the arg and renormalize if it is denormal. */
+ /* Bring in the arg and renormalize if it is denormal. */
emovi (x, xx);
m = (EMULONG) xx[1]; /* local long word exponent */
if (m == 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. */
+ /* Do additional bit on last outer loop, for roundoff. */
if (nlups <= 8)
n = nlups + 1;
for (i = 0; i < n; i++)
j += 1;
}
- /* Adjust for extra, roundoff loop done. */
+ /* Adjust for extra, roundoff loop done. */
exp += (NBITS - 1) - rndprc;
- /* Sticky bit = 1 if the remainder is nonzero. */
+ /* Sticky bit = 1 if the remainder is nonzero. */
k = 0;
for (i = 3; i < NI; i++)
k |= (int) num[i];
- /* Renormalize and round off. */
+ /* Renormalize and round off. */
emdnorm (sq, k, 0, exp, 64);
emovo (sq, y);
}
-
#endif /* EMU_NON_COMPILE not defined */
+\f
+/* 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. */
+
+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:
+ 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
+ abort ();
+#endif
+#endif
+#endif
+
+ case 96:
+ return 64;
+ case 128:
+ return 113;
+
+ default:
+ abort ();
+ }
+}
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