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authorkan <kan@FreeBSD.org>2004-07-28 03:11:36 +0000
committerkan <kan@FreeBSD.org>2004-07-28 03:11:36 +0000
commit5e00ec74d8ce58f99801200d4d3d0412c7cc1b28 (patch)
tree052f4bb635f2bea2c5e350bd60c902be100a0d1e /contrib/gcc/real.c
parent87b8398a7d9f9bf0e28bbcd54a4fc27db2125f38 (diff)
downloadFreeBSD-src-5e00ec74d8ce58f99801200d4d3d0412c7cc1b28.zip
FreeBSD-src-5e00ec74d8ce58f99801200d4d3d0412c7cc1b28.tar.gz
Gcc 3.4.2 20040728.
Diffstat (limited to 'contrib/gcc/real.c')
-rw-r--r--contrib/gcc/real.c1526
1 files changed, 879 insertions, 647 deletions
diff --git a/contrib/gcc/real.c b/contrib/gcc/real.c
index f775226..11927ee 100644
--- a/contrib/gcc/real.c
+++ b/contrib/gcc/real.c
@@ -1,8 +1,8 @@
/* real.c - software floating point emulation.
- Copyright (C) 1993, 1994, 1995, 1996, 1997, 1998,
- 1999, 2000, 2002, 2003 Free Software Foundation, Inc.
+ Copyright (C) 1993, 1994, 1995, 1996, 1997, 1998, 1999,
+ 2000, 2002, 2003, 2004 Free Software Foundation, Inc.
Contributed by Stephen L. Moshier (moshier@world.std.com).
- Re-written by Richard Henderson <rth@redhat.com>
+ Re-written by Richard Henderson <rth@redhat.com>
This file is part of GCC.
@@ -23,13 +23,15 @@
#include "config.h"
#include "system.h"
+#include "coretypes.h"
+#include "tm.h"
#include "tree.h"
#include "toplev.h"
#include "real.h"
#include "tm_p.h"
/* The floating point model used internally is not exactly IEEE 754
- compliant, and close to the description in the ISO C standard,
+ compliant, and close to the description in the ISO C99 standard,
section 5.2.4.2.2 Characteristics of floating types.
Specifically
@@ -47,21 +49,21 @@
significand is fractional. Normalized significands are in the
range [0.5, 1.0).
- A requirement of the model is that P be larger than than the
- largest supported target floating-point type by at least 2 bits.
- This gives us proper rounding when we truncate to the target type.
- In addition, E must be large enough to hold the smallest supported
- denormal number in a normalized form.
+ A requirement of the model is that P be larger than the largest
+ supported target floating-point type by at least 2 bits. This gives
+ us proper rounding when we truncate to the target type. In addition,
+ E must be large enough to hold the smallest supported denormal number
+ in a normalized form.
Both of these requirements are easily satisfied. The largest target
significand is 113 bits; we store at least 160. The smallest
- denormal number fits in 17 exponent bits; we store 29.
+ denormal number fits in 17 exponent bits; we store 27.
- Note that the decimal string conversion routines are sensitive to
- rounding error. Since the raw arithmetic routines do not themselves
+ Note that the decimal string conversion routines are sensitive to
+ rounding errors. Since the raw arithmetic routines do not themselves
have guard digits or rounding, the computation of 10**exp can
accumulate more than a few digits of error. The previous incarnation
- of real.c successfully used a 144 bit fraction; given the current
+ of real.c successfully used a 144-bit fraction; given the current
layout of REAL_VALUE_TYPE we're forced to expand to at least 160 bits.
Target floating point models that use base 16 instead of base 2
@@ -77,70 +79,54 @@
#error "Some constant folding done by hand to avoid shift count warnings"
#endif
-static void get_zero PARAMS ((REAL_VALUE_TYPE *, int));
-static void get_canonical_qnan PARAMS ((REAL_VALUE_TYPE *, int));
-static void get_canonical_snan PARAMS ((REAL_VALUE_TYPE *, int));
-static void get_inf PARAMS ((REAL_VALUE_TYPE *, int));
-static bool sticky_rshift_significand PARAMS ((REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *,
- unsigned int));
-static void rshift_significand PARAMS ((REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *,
- unsigned int));
-static void lshift_significand PARAMS ((REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *,
- unsigned int));
-static void lshift_significand_1 PARAMS ((REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *));
-static bool add_significands PARAMS ((REAL_VALUE_TYPE *r,
- const REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *));
-static bool sub_significands PARAMS ((REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *, int));
-static void neg_significand PARAMS ((REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *));
-static int cmp_significands PARAMS ((const REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *));
-static int cmp_significand_0 PARAMS ((const REAL_VALUE_TYPE *));
-static void set_significand_bit PARAMS ((REAL_VALUE_TYPE *, unsigned int));
-static void clear_significand_bit PARAMS ((REAL_VALUE_TYPE *, unsigned int));
-static bool test_significand_bit PARAMS ((REAL_VALUE_TYPE *, unsigned int));
-static void clear_significand_below PARAMS ((REAL_VALUE_TYPE *,
- unsigned int));
-static bool div_significands PARAMS ((REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *));
-static void normalize PARAMS ((REAL_VALUE_TYPE *));
-
-static void do_add PARAMS ((REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *, int));
-static void do_multiply PARAMS ((REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *));
-static void do_divide PARAMS ((REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *));
-static int do_compare PARAMS ((const REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *, int));
-static void do_fix_trunc PARAMS ((REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *));
-
-static unsigned long rtd_divmod PARAMS ((REAL_VALUE_TYPE *,
- REAL_VALUE_TYPE *));
-
-static const REAL_VALUE_TYPE * ten_to_ptwo PARAMS ((int));
-static const REAL_VALUE_TYPE * ten_to_mptwo PARAMS ((int));
-static const REAL_VALUE_TYPE * real_digit PARAMS ((int));
-static void times_pten PARAMS ((REAL_VALUE_TYPE *, int));
-
-static void round_for_format PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *));
+static void get_zero (REAL_VALUE_TYPE *, int);
+static void get_canonical_qnan (REAL_VALUE_TYPE *, int);
+static void get_canonical_snan (REAL_VALUE_TYPE *, int);
+static void get_inf (REAL_VALUE_TYPE *, int);
+static bool sticky_rshift_significand (REAL_VALUE_TYPE *,
+ const REAL_VALUE_TYPE *, unsigned int);
+static void rshift_significand (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *,
+ unsigned int);
+static void lshift_significand (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *,
+ unsigned int);
+static void lshift_significand_1 (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
+static bool add_significands (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *,
+ const REAL_VALUE_TYPE *);
+static bool sub_significands (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *,
+ const REAL_VALUE_TYPE *, int);
+static void neg_significand (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
+static int cmp_significands (const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
+static int cmp_significand_0 (const REAL_VALUE_TYPE *);
+static void set_significand_bit (REAL_VALUE_TYPE *, unsigned int);
+static void clear_significand_bit (REAL_VALUE_TYPE *, unsigned int);
+static bool test_significand_bit (REAL_VALUE_TYPE *, unsigned int);
+static void clear_significand_below (REAL_VALUE_TYPE *, unsigned int);
+static bool div_significands (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *,
+ const REAL_VALUE_TYPE *);
+static void normalize (REAL_VALUE_TYPE *);
+
+static bool do_add (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *,
+ const REAL_VALUE_TYPE *, int);
+static bool do_multiply (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *,
+ const REAL_VALUE_TYPE *);
+static bool do_divide (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *,
+ const REAL_VALUE_TYPE *);
+static int do_compare (const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *, int);
+static void do_fix_trunc (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
+
+static unsigned long rtd_divmod (REAL_VALUE_TYPE *, REAL_VALUE_TYPE *);
+
+static const REAL_VALUE_TYPE * ten_to_ptwo (int);
+static const REAL_VALUE_TYPE * ten_to_mptwo (int);
+static const REAL_VALUE_TYPE * real_digit (int);
+static void times_pten (REAL_VALUE_TYPE *, int);
+
+static void round_for_format (const struct real_format *, REAL_VALUE_TYPE *);
/* Initialize R with a positive zero. */
static inline void
-get_zero (r, sign)
- REAL_VALUE_TYPE *r;
- int sign;
+get_zero (REAL_VALUE_TYPE *r, int sign)
{
memset (r, 0, sizeof (*r));
r->sign = sign;
@@ -149,31 +135,26 @@ get_zero (r, sign)
/* Initialize R with the canonical quiet NaN. */
static inline void
-get_canonical_qnan (r, sign)
- REAL_VALUE_TYPE *r;
- int sign;
+get_canonical_qnan (REAL_VALUE_TYPE *r, int sign)
{
memset (r, 0, sizeof (*r));
r->class = rvc_nan;
r->sign = sign;
- r->sig[SIGSZ-1] = SIG_MSB >> 1;
+ r->canonical = 1;
}
static inline void
-get_canonical_snan (r, sign)
- REAL_VALUE_TYPE *r;
- int sign;
+get_canonical_snan (REAL_VALUE_TYPE *r, int sign)
{
memset (r, 0, sizeof (*r));
r->class = rvc_nan;
r->sign = sign;
- r->sig[SIGSZ-1] = SIG_MSB >> 2;
+ r->signalling = 1;
+ r->canonical = 1;
}
static inline void
-get_inf (r, sign)
- REAL_VALUE_TYPE *r;
- int sign;
+get_inf (REAL_VALUE_TYPE *r, int sign)
{
memset (r, 0, sizeof (*r));
r->class = rvc_inf;
@@ -185,10 +166,8 @@ get_inf (r, sign)
significand of R. If any one bits are shifted out, return true. */
static bool
-sticky_rshift_significand (r, a, n)
- REAL_VALUE_TYPE *r;
- const REAL_VALUE_TYPE *a;
- unsigned int n;
+sticky_rshift_significand (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a,
+ unsigned int n)
{
unsigned long sticky = 0;
unsigned int i, ofs = 0;
@@ -226,10 +205,8 @@ sticky_rshift_significand (r, a, n)
significand of R. */
static void
-rshift_significand (r, a, n)
- REAL_VALUE_TYPE *r;
- const REAL_VALUE_TYPE *a;
- unsigned int n;
+rshift_significand (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a,
+ unsigned int n)
{
unsigned int i, ofs = n / HOST_BITS_PER_LONG;
@@ -257,10 +234,8 @@ rshift_significand (r, a, n)
significand of R. */
static void
-lshift_significand (r, a, n)
- REAL_VALUE_TYPE *r;
- const REAL_VALUE_TYPE *a;
- unsigned int n;
+lshift_significand (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a,
+ unsigned int n)
{
unsigned int i, ofs = n / HOST_BITS_PER_LONG;
@@ -285,9 +260,7 @@ lshift_significand (r, a, n)
/* Likewise, but N is specialized to 1. */
static inline void
-lshift_significand_1 (r, a)
- REAL_VALUE_TYPE *r;
- const REAL_VALUE_TYPE *a;
+lshift_significand_1 (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a)
{
unsigned int i;
@@ -300,9 +273,8 @@ lshift_significand_1 (r, a)
true if there was carry out of the most significant word. */
static inline bool
-add_significands (r, a, b)
- REAL_VALUE_TYPE *r;
- const REAL_VALUE_TYPE *a, *b;
+add_significands (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a,
+ const REAL_VALUE_TYPE *b)
{
bool carry = false;
int i;
@@ -331,10 +303,8 @@ add_significands (r, a, b)
Return true if there was borrow out of the most significant word. */
static inline bool
-sub_significands (r, a, b, carry)
- REAL_VALUE_TYPE *r;
- const REAL_VALUE_TYPE *a, *b;
- int carry;
+sub_significands (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a,
+ const REAL_VALUE_TYPE *b, int carry)
{
int i;
@@ -355,14 +325,12 @@ sub_significands (r, a, b, carry)
}
return carry;
-}
+}
/* Negate the significand A, placing the result in R. */
static inline void
-neg_significand (r, a)
- REAL_VALUE_TYPE *r;
- const REAL_VALUE_TYPE *a;
+neg_significand (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a)
{
bool carry = true;
int i;
@@ -386,13 +354,12 @@ neg_significand (r, a)
r->sig[i] = ri;
}
-}
+}
/* Compare significands. Return tri-state vs zero. */
-static inline int
-cmp_significands (a, b)
- const REAL_VALUE_TYPE *a, *b;
+static inline int
+cmp_significands (const REAL_VALUE_TYPE *a, const REAL_VALUE_TYPE *b)
{
int i;
@@ -412,9 +379,8 @@ cmp_significands (a, b)
/* Return true if A is nonzero. */
-static inline int
-cmp_significand_0 (a)
- const REAL_VALUE_TYPE *a;
+static inline int
+cmp_significand_0 (const REAL_VALUE_TYPE *a)
{
int i;
@@ -428,9 +394,7 @@ cmp_significand_0 (a)
/* Set bit N of the significand of R. */
static inline void
-set_significand_bit (r, n)
- REAL_VALUE_TYPE *r;
- unsigned int n;
+set_significand_bit (REAL_VALUE_TYPE *r, unsigned int n)
{
r->sig[n / HOST_BITS_PER_LONG]
|= (unsigned long)1 << (n % HOST_BITS_PER_LONG);
@@ -439,9 +403,7 @@ set_significand_bit (r, n)
/* Clear bit N of the significand of R. */
static inline void
-clear_significand_bit (r, n)
- REAL_VALUE_TYPE *r;
- unsigned int n;
+clear_significand_bit (REAL_VALUE_TYPE *r, unsigned int n)
{
r->sig[n / HOST_BITS_PER_LONG]
&= ~((unsigned long)1 << (n % HOST_BITS_PER_LONG));
@@ -450,9 +412,7 @@ clear_significand_bit (r, n)
/* Test bit N of the significand of R. */
static inline bool
-test_significand_bit (r, n)
- REAL_VALUE_TYPE *r;
- unsigned int n;
+test_significand_bit (REAL_VALUE_TYPE *r, unsigned int n)
{
/* ??? Compiler bug here if we return this expression directly.
The conversion to bool strips the "&1" and we wind up testing
@@ -464,9 +424,7 @@ test_significand_bit (r, n)
/* Clear bits 0..N-1 of the significand of R. */
static void
-clear_significand_below (r, n)
- REAL_VALUE_TYPE *r;
- unsigned int n;
+clear_significand_below (REAL_VALUE_TYPE *r, unsigned int n)
{
int i, w = n / HOST_BITS_PER_LONG;
@@ -480,9 +438,8 @@ clear_significand_below (r, n)
true if the division was inexact. */
static inline bool
-div_significands (r, a, b)
- REAL_VALUE_TYPE *r;
- const REAL_VALUE_TYPE *a, *b;
+div_significands (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a,
+ const REAL_VALUE_TYPE *b)
{
REAL_VALUE_TYPE u;
int i, bit = SIGNIFICAND_BITS - 1;
@@ -518,8 +475,7 @@ div_significands (r, a, b)
exponent is large enough to handle target denormals normalized.) */
static void
-normalize (r)
- REAL_VALUE_TYPE *r;
+normalize (REAL_VALUE_TYPE *r)
{
int shift = 0, exp;
int i, j;
@@ -560,13 +516,12 @@ normalize (r)
}
}
-/* Return R = A + (SUBTRACT_P ? -B : B). */
+/* Calculate R = A + (SUBTRACT_P ? -B : B). Return true if the
+ result may be inexact due to a loss of precision. */
-static void
-do_add (r, a, b, subtract_p)
- REAL_VALUE_TYPE *r;
- const REAL_VALUE_TYPE *a, *b;
- int subtract_p;
+static bool
+do_add (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a,
+ const REAL_VALUE_TYPE *b, int subtract_p)
{
int dexp, sign, exp;
REAL_VALUE_TYPE t;
@@ -581,7 +536,7 @@ do_add (r, a, b, subtract_p)
case CLASS2 (rvc_zero, rvc_zero):
/* -0 + -0 = -0, -0 - +0 = -0; all other cases yield +0. */
get_zero (r, sign & !subtract_p);
- return;
+ return false;
case CLASS2 (rvc_zero, rvc_normal):
case CLASS2 (rvc_zero, rvc_inf):
@@ -595,7 +550,7 @@ do_add (r, a, b, subtract_p)
/* R + Inf = Inf. */
*r = *b;
r->sign = sign ^ subtract_p;
- return;
+ return false;
case CLASS2 (rvc_normal, rvc_zero):
case CLASS2 (rvc_inf, rvc_zero):
@@ -607,7 +562,7 @@ do_add (r, a, b, subtract_p)
case CLASS2 (rvc_inf, rvc_normal):
/* Inf + R = Inf. */
*r = *a;
- return;
+ return false;
case CLASS2 (rvc_inf, rvc_inf):
if (subtract_p)
@@ -616,7 +571,7 @@ do_add (r, a, b, subtract_p)
else
/* Inf + Inf = Inf. */
*r = *a;
- return;
+ return false;
case CLASS2 (rvc_normal, rvc_normal):
break;
@@ -646,7 +601,7 @@ do_add (r, a, b, subtract_p)
{
*r = *a;
r->sign = sign;
- return;
+ return true;
}
inexact |= sticky_rshift_significand (&t, b, dexp);
@@ -677,7 +632,7 @@ do_add (r, a, b, subtract_p)
if (++exp > MAX_EXP)
{
get_inf (r, sign);
- return;
+ return true;
}
}
}
@@ -695,18 +650,20 @@ do_add (r, a, b, subtract_p)
r->sign = 0;
else
r->sig[0] |= inexact;
+
+ return inexact;
}
-/* Return R = A * B. */
+/* Calculate R = A * B. Return true if the result may be inexact. */
-static void
-do_multiply (r, a, b)
- REAL_VALUE_TYPE *r;
- const REAL_VALUE_TYPE *a, *b;
+static bool
+do_multiply (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a,
+ const REAL_VALUE_TYPE *b)
{
REAL_VALUE_TYPE u, t, *rr;
unsigned int i, j, k;
int sign = a->sign ^ b->sign;
+ bool inexact = false;
switch (CLASS2 (a->class, b->class))
{
@@ -715,7 +672,7 @@ do_multiply (r, a, b)
case CLASS2 (rvc_normal, rvc_zero):
/* +-0 * ANY = 0 with appropriate sign. */
get_zero (r, sign);
- return;
+ return false;
case CLASS2 (rvc_zero, rvc_nan):
case CLASS2 (rvc_normal, rvc_nan):
@@ -724,7 +681,7 @@ do_multiply (r, a, b)
/* ANY * NaN = NaN. */
*r = *b;
r->sign = sign;
- return;
+ return false;
case CLASS2 (rvc_nan, rvc_zero):
case CLASS2 (rvc_nan, rvc_normal):
@@ -732,21 +689,20 @@ do_multiply (r, a, b)
/* NaN * ANY = NaN. */
*r = *a;
r->sign = sign;
- return;
+ return false;
case CLASS2 (rvc_zero, rvc_inf):
case CLASS2 (rvc_inf, rvc_zero):
/* 0 * Inf = NaN */
get_canonical_qnan (r, sign);
- return;
+ return false;
case CLASS2 (rvc_inf, rvc_inf):
case CLASS2 (rvc_normal, rvc_inf):
case CLASS2 (rvc_inf, rvc_normal):
/* Inf * Inf = Inf, R * Inf = Inf */
- overflow:
get_inf (r, sign);
- return;
+ return false;
case CLASS2 (rvc_normal, rvc_normal):
break;
@@ -796,13 +752,19 @@ do_multiply (r, a, b)
+ (b->exp - (1-j)*(HOST_BITS_PER_LONG/2)));
if (exp > MAX_EXP)
- goto overflow;
+ {
+ get_inf (r, sign);
+ return true;
+ }
if (exp < -MAX_EXP)
- /* Would underflow to zero, which we shouldn't bother adding. */
- continue;
+ {
+ /* Would underflow to zero, which we shouldn't bother adding. */
+ inexact = true;
+ continue;
+ }
+ memset (&u, 0, sizeof (u));
u.class = rvc_normal;
- u.sign = 0;
u.exp = exp;
for (k = j; k < SIGSZ * 2; k += 2)
@@ -817,21 +779,22 @@ do_multiply (r, a, b)
}
normalize (&u);
- do_add (rr, rr, &u, 0);
+ inexact |= do_add (rr, rr, &u, 0);
}
}
rr->sign = sign;
if (rr != r)
*r = t;
+
+ return inexact;
}
-/* Return R = A / B. */
+/* Calculate R = A / B. Return true if the result may be inexact. */
-static void
-do_divide (r, a, b)
- REAL_VALUE_TYPE *r;
- const REAL_VALUE_TYPE *a, *b;
+static bool
+do_divide (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a,
+ const REAL_VALUE_TYPE *b)
{
int exp, sign = a->sign ^ b->sign;
REAL_VALUE_TYPE t, *rr;
@@ -844,23 +807,22 @@ do_divide (r, a, b)
case CLASS2 (rvc_inf, rvc_inf):
/* Inf / Inf = NaN. */
get_canonical_qnan (r, sign);
- return;
+ return false;
case CLASS2 (rvc_zero, rvc_normal):
case CLASS2 (rvc_zero, rvc_inf):
/* 0 / ANY = 0. */
case CLASS2 (rvc_normal, rvc_inf):
/* R / Inf = 0. */
- underflow:
get_zero (r, sign);
- return;
+ return false;
case CLASS2 (rvc_normal, rvc_zero):
/* R / 0 = Inf. */
case CLASS2 (rvc_inf, rvc_zero):
/* Inf / 0 = Inf. */
get_inf (r, sign);
- return;
+ return false;
case CLASS2 (rvc_zero, rvc_nan):
case CLASS2 (rvc_normal, rvc_nan):
@@ -869,7 +831,7 @@ do_divide (r, a, b)
/* ANY / NaN = NaN. */
*r = *b;
r->sign = sign;
- return;
+ return false;
case CLASS2 (rvc_nan, rvc_zero):
case CLASS2 (rvc_nan, rvc_normal):
@@ -877,13 +839,12 @@ do_divide (r, a, b)
/* NaN / ANY = NaN. */
*r = *a;
r->sign = sign;
- return;
+ return false;
case CLASS2 (rvc_inf, rvc_normal):
/* Inf / R = Inf. */
- overflow:
get_inf (r, sign);
- return;
+ return false;
case CLASS2 (rvc_normal, rvc_normal):
break;
@@ -897,14 +858,22 @@ do_divide (r, a, b)
else
rr = r;
+ /* Make sure all fields in the result are initialized. */
+ get_zero (rr, 0);
rr->class = rvc_normal;
rr->sign = sign;
exp = a->exp - b->exp + 1;
if (exp > MAX_EXP)
- goto overflow;
+ {
+ get_inf (r, sign);
+ return true;
+ }
if (exp < -MAX_EXP)
- goto underflow;
+ {
+ get_zero (r, sign);
+ return true;
+ }
rr->exp = exp;
inexact = div_significands (rr, a, b);
@@ -915,15 +884,16 @@ do_divide (r, a, b)
if (rr != r)
*r = t;
+
+ return inexact;
}
/* Return a tri-state comparison of A vs B. Return NAN_RESULT if
one of the two operands is a NaN. */
static int
-do_compare (a, b, nan_result)
- const REAL_VALUE_TYPE *a, *b;
- int nan_result;
+do_compare (const REAL_VALUE_TYPE *a, const REAL_VALUE_TYPE *b,
+ int nan_result)
{
int ret;
@@ -978,9 +948,7 @@ do_compare (a, b, nan_result)
/* Return A truncated to an integral value toward zero. */
static void
-do_fix_trunc (r, a)
- REAL_VALUE_TYPE *r;
- const REAL_VALUE_TYPE *a;
+do_fix_trunc (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a)
{
*r = *a;
@@ -1007,10 +975,8 @@ do_fix_trunc (r, a)
For a unary operation, leave OP1 NULL. */
void
-real_arithmetic (r, icode, op0, op1)
- REAL_VALUE_TYPE *r;
- int icode;
- const REAL_VALUE_TYPE *op0, *op1;
+real_arithmetic (REAL_VALUE_TYPE *r, int icode, const REAL_VALUE_TYPE *op0,
+ const REAL_VALUE_TYPE *op1)
{
enum tree_code code = icode;
@@ -1072,9 +1038,8 @@ real_arithmetic (r, icode, op0, op1)
/* Legacy. Similar, but return the result directly. */
REAL_VALUE_TYPE
-real_arithmetic2 (icode, op0, op1)
- int icode;
- const REAL_VALUE_TYPE *op0, *op1;
+real_arithmetic2 (int icode, const REAL_VALUE_TYPE *op0,
+ const REAL_VALUE_TYPE *op1)
{
REAL_VALUE_TYPE r;
real_arithmetic (&r, icode, op0, op1);
@@ -1082,9 +1047,8 @@ real_arithmetic2 (icode, op0, op1)
}
bool
-real_compare (icode, op0, op1)
- int icode;
- const REAL_VALUE_TYPE *op0, *op1;
+real_compare (int icode, const REAL_VALUE_TYPE *op0,
+ const REAL_VALUE_TYPE *op1)
{
enum tree_code code = icode;
@@ -1125,8 +1089,7 @@ real_compare (icode, op0, op1)
/* Return floor log2(R). */
int
-real_exponent (r)
- const REAL_VALUE_TYPE *r;
+real_exponent (const REAL_VALUE_TYPE *r)
{
switch (r->class)
{
@@ -1145,10 +1108,7 @@ real_exponent (r)
/* R = OP0 * 2**EXP. */
void
-real_ldexp (r, op0, exp)
- REAL_VALUE_TYPE *r;
- const REAL_VALUE_TYPE *op0;
- int exp;
+real_ldexp (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0, int exp)
{
*r = *op0;
switch (r->class)
@@ -1176,8 +1136,7 @@ real_ldexp (r, op0, exp)
/* Determine whether a floating-point value X is infinite. */
bool
-real_isinf (r)
- const REAL_VALUE_TYPE *r;
+real_isinf (const REAL_VALUE_TYPE *r)
{
return (r->class == rvc_inf);
}
@@ -1185,8 +1144,7 @@ real_isinf (r)
/* Determine whether a floating-point value X is a NaN. */
bool
-real_isnan (r)
- const REAL_VALUE_TYPE *r;
+real_isnan (const REAL_VALUE_TYPE *r)
{
return (r->class == rvc_nan);
}
@@ -1194,8 +1152,7 @@ real_isnan (r)
/* Determine whether a floating-point value X is negative. */
bool
-real_isneg (r)
- const REAL_VALUE_TYPE *r;
+real_isneg (const REAL_VALUE_TYPE *r)
{
return r->sign;
}
@@ -1203,17 +1160,15 @@ real_isneg (r)
/* Determine whether a floating-point value X is minus zero. */
bool
-real_isnegzero (r)
- const REAL_VALUE_TYPE *r;
+real_isnegzero (const REAL_VALUE_TYPE *r)
{
return r->sign && r->class == rvc_zero;
}
/* Compare two floating-point objects for bitwise identity. */
-extern bool
-real_identical (a, b)
- const REAL_VALUE_TYPE *a, *b;
+bool
+real_identical (const REAL_VALUE_TYPE *a, const REAL_VALUE_TYPE *b)
{
int i;
@@ -1226,22 +1181,29 @@ real_identical (a, b)
{
case rvc_zero:
case rvc_inf:
- break;
+ return true;
case rvc_normal:
if (a->exp != b->exp)
- return false;
- /* FALLTHRU */
+ return false;
+ break;
+
case rvc_nan:
- for (i = 0; i < SIGSZ; ++i)
- if (a->sig[i] != b->sig[i])
- return false;
+ if (a->signalling != b->signalling)
+ return false;
+ /* The significand is ignored for canonical NaNs. */
+ if (a->canonical || b->canonical)
+ return a->canonical == b->canonical;
break;
default:
abort ();
}
+ for (i = 0; i < SIGSZ; ++i)
+ if (a->sig[i] != b->sig[i])
+ return false;
+
return true;
}
@@ -1249,14 +1211,12 @@ real_identical (a, b)
mode MODE. Return true if successful. */
bool
-exact_real_inverse (mode, r)
- enum machine_mode mode;
- REAL_VALUE_TYPE *r;
+exact_real_inverse (enum machine_mode mode, REAL_VALUE_TYPE *r)
{
const REAL_VALUE_TYPE *one = real_digit (1);
REAL_VALUE_TYPE u;
int i;
-
+
if (r->class != rvc_normal)
return false;
@@ -1270,7 +1230,7 @@ exact_real_inverse (mode, r)
/* Find the inverse and truncate to the required mode. */
do_divide (&u, one, r);
real_convert (&u, mode, &u);
-
+
/* The rounding may have overflowed. */
if (u.class != rvc_normal)
return false;
@@ -1287,8 +1247,7 @@ exact_real_inverse (mode, r)
/* Render R as an integer. */
HOST_WIDE_INT
-real_to_integer (r)
- const REAL_VALUE_TYPE *r;
+real_to_integer (const REAL_VALUE_TYPE *r)
{
unsigned HOST_WIDE_INT i;
@@ -1309,6 +1268,10 @@ real_to_integer (r)
case rvc_normal:
if (r->exp <= 0)
goto underflow;
+ /* Only force overflow for unsigned overflow. Signed overflow is
+ undefined, so it doesn't matter what we return, and some callers
+ expect to be able to use this routine for both signed and
+ unsigned conversions. */
if (r->exp > HOST_BITS_PER_WIDE_INT)
goto overflow;
@@ -1337,9 +1300,8 @@ real_to_integer (r)
/* Likewise, but to an integer pair, HI+LOW. */
void
-real_to_integer2 (plow, phigh, r)
- HOST_WIDE_INT *plow, *phigh;
- const REAL_VALUE_TYPE *r;
+real_to_integer2 (HOST_WIDE_INT *plow, HOST_WIDE_INT *phigh,
+ const REAL_VALUE_TYPE *r)
{
REAL_VALUE_TYPE t;
HOST_WIDE_INT low, high;
@@ -1369,6 +1331,10 @@ real_to_integer2 (plow, phigh, r)
exp = r->exp;
if (exp <= 0)
goto underflow;
+ /* Only force overflow for unsigned overflow. Signed overflow is
+ undefined, so it doesn't matter what we return, and some callers
+ expect to be able to use this routine for both signed and
+ unsigned conversions. */
if (exp > 2*HOST_BITS_PER_WIDE_INT)
goto overflow;
@@ -1414,8 +1380,7 @@ real_to_integer2 (plow, phigh, r)
small. */
static unsigned long
-rtd_divmod (num, den)
- REAL_VALUE_TYPE *num, *den;
+rtd_divmod (REAL_VALUE_TYPE *num, REAL_VALUE_TYPE *den)
{
unsigned long q, msb;
int expn = num->exp, expd = den->exp;
@@ -1453,11 +1418,8 @@ rtd_divmod (num, den)
#define M_LOG10_2 0.30102999566398119521
void
-real_to_decimal (str, r_orig, buf_size, digits, crop_trailing_zeros)
- char *str;
- const REAL_VALUE_TYPE *r_orig;
- size_t buf_size, digits;
- int crop_trailing_zeros;
+real_to_decimal (char *str, const REAL_VALUE_TYPE *r_orig, size_t buf_size,
+ size_t digits, int crop_trailing_zeros)
{
const REAL_VALUE_TYPE *one, *ten;
REAL_VALUE_TYPE r, pten, u, v;
@@ -1529,7 +1491,7 @@ real_to_decimal (str, r_orig, buf_size, digits, crop_trailing_zeros)
/* Iterate over the bits of the possible powers of 10 that might
be present in U and eliminate them. That is, if we find that
- 10**2**M divides U evenly, keep the division and increase
+ 10**2**M divides U evenly, keep the division and increase
DEC_EXP by 2**M. */
do
{
@@ -1550,7 +1512,7 @@ real_to_decimal (str, r_orig, buf_size, digits, crop_trailing_zeros)
r = u;
/* Find power of 10. Do this by dividing out 10**2**M when
- this is larger than the current remainder. Fill PTEN with
+ this is larger than the current remainder. Fill PTEN with
the power of 10 that we compute. */
if (r.exp > 0)
{
@@ -1705,7 +1667,7 @@ real_to_decimal (str, r_orig, buf_size, digits, crop_trailing_zeros)
dec_exp++;
}
}
-
+
/* Insert the decimal point. */
first[0] = first[1];
first[1] = '.';
@@ -1725,11 +1687,8 @@ real_to_decimal (str, r_orig, buf_size, digits, crop_trailing_zeros)
strip trailing zeros. */
void
-real_to_hexadecimal (str, r, buf_size, digits, crop_trailing_zeros)
- char *str;
- const REAL_VALUE_TYPE *r;
- size_t buf_size, digits;
- int crop_trailing_zeros;
+real_to_hexadecimal (char *str, const REAL_VALUE_TYPE *r, size_t buf_size,
+ size_t digits, int crop_trailing_zeros)
{
int i, j, exp = r->exp;
char *p, *first;
@@ -1795,9 +1754,7 @@ real_to_hexadecimal (str, r, buf_size, digits, crop_trailing_zeros)
assumed to have been syntax checked already. */
void
-real_from_string (r, str)
- REAL_VALUE_TYPE *r;
- const char *str;
+real_from_string (REAL_VALUE_TYPE *r, const char *str)
{
int exp = 0;
bool sign = false;
@@ -1812,7 +1769,7 @@ real_from_string (r, str)
else if (*str == '+')
str++;
- if (str[0] == '0' && str[1] == 'x')
+ if (str[0] == '0' && (str[1] == 'x' || str[1] == 'X'))
{
/* Hexadecimal floating point. */
int pos = SIGNIFICAND_BITS - 4, d;
@@ -1981,9 +1938,7 @@ real_from_string (r, str)
/* Legacy. Similar, but return the result directly. */
REAL_VALUE_TYPE
-real_from_string2 (s, mode)
- const char *s;
- enum machine_mode mode;
+real_from_string2 (const char *s, enum machine_mode mode)
{
REAL_VALUE_TYPE r;
@@ -1997,12 +1952,9 @@ real_from_string2 (s, mode)
/* Initialize R from the integer pair HIGH+LOW. */
void
-real_from_integer (r, mode, low, high, unsigned_p)
- REAL_VALUE_TYPE *r;
- enum machine_mode mode;
- unsigned HOST_WIDE_INT low;
- HOST_WIDE_INT high;
- int unsigned_p;
+real_from_integer (REAL_VALUE_TYPE *r, enum machine_mode mode,
+ unsigned HOST_WIDE_INT low, HOST_WIDE_INT high,
+ int unsigned_p)
{
if (low == 0 && high == 0)
get_zero (r, 0);
@@ -2049,8 +2001,7 @@ real_from_integer (r, mode, low, high, unsigned_p)
/* Returns 10**2**N. */
static const REAL_VALUE_TYPE *
-ten_to_ptwo (n)
- int n;
+ten_to_ptwo (int n)
{
static REAL_VALUE_TYPE tens[EXP_BITS];
@@ -2082,8 +2033,7 @@ ten_to_ptwo (n)
/* Returns 10**(-2**N). */
static const REAL_VALUE_TYPE *
-ten_to_mptwo (n)
- int n;
+ten_to_mptwo (int n)
{
static REAL_VALUE_TYPE tens[EXP_BITS];
@@ -2099,8 +2049,7 @@ ten_to_mptwo (n)
/* Returns N. */
static const REAL_VALUE_TYPE *
-real_digit (n)
- int n;
+real_digit (int n)
{
static REAL_VALUE_TYPE num[10];
@@ -2116,9 +2065,7 @@ real_digit (n)
/* Multiply R by 10**EXP. */
static void
-times_pten (r, exp)
- REAL_VALUE_TYPE *r;
- int exp;
+times_pten (REAL_VALUE_TYPE *r, int exp)
{
REAL_VALUE_TYPE pten, *rr;
bool negative = (exp < 0);
@@ -2144,8 +2091,7 @@ times_pten (r, exp)
/* Fills R with +Inf. */
void
-real_inf (r)
- REAL_VALUE_TYPE *r;
+real_inf (REAL_VALUE_TYPE *r)
{
get_inf (r, 0);
}
@@ -2156,15 +2102,12 @@ real_inf (r)
if the string was successfully parsed. */
bool
-real_nan (r, str, quiet, mode)
- REAL_VALUE_TYPE *r;
- const char *str;
- int quiet;
- enum machine_mode mode;
+real_nan (REAL_VALUE_TYPE *r, const char *str, int quiet,
+ enum machine_mode mode)
{
const struct real_format *fmt;
- fmt = real_format_for_mode[mode - QFmode];
+ fmt = REAL_MODE_FORMAT (mode);
if (fmt == NULL)
abort ();
@@ -2233,40 +2176,46 @@ real_nan (r, str, quiet, mode)
/* Shift the significand into place such that the bits
are in the most significant bits for the format. */
- lshift_significand (r, r, SIGNIFICAND_BITS - fmt->p);
+ lshift_significand (r, r, SIGNIFICAND_BITS - fmt->pnan);
/* Our MSB is always unset for NaNs. */
r->sig[SIGSZ-1] &= ~SIG_MSB;
/* Force quiet or signalling NaN. */
- if (quiet)
- r->sig[SIGSZ-1] |= SIG_MSB >> 1;
- else
- r->sig[SIGSZ-1] &= ~(SIG_MSB >> 1);
-
- /* Force at least one bit of the significand set. */
- for (d = 0; d < SIGSZ; ++d)
- if (r->sig[d])
- break;
- if (d == SIGSZ)
- r->sig[SIGSZ-1] |= SIG_MSB >> 2;
-
- /* Our intermediate format forces QNaNs to have MSB-1 set.
- If the target format has QNaNs with the top bit unset,
- mirror the output routines and invert the top two bits. */
- if (!fmt->qnan_msb_set)
- r->sig[SIGSZ-1] ^= (SIG_MSB >> 1) | (SIG_MSB >> 2);
+ r->signalling = !quiet;
}
return true;
}
+/* Fills R with the largest finite value representable in mode MODE.
+ If SIGN is nonzero, R is set to the most negative finite value. */
+
+void
+real_maxval (REAL_VALUE_TYPE *r, int sign, enum machine_mode mode)
+{
+ const struct real_format *fmt;
+ int np2;
+
+ fmt = REAL_MODE_FORMAT (mode);
+ if (fmt == NULL)
+ abort ();
+
+ r->class = rvc_normal;
+ r->sign = sign;
+ r->signalling = 0;
+ r->canonical = 0;
+ r->exp = fmt->emax * fmt->log2_b;
+
+ np2 = SIGNIFICAND_BITS - fmt->p * fmt->log2_b;
+ memset (r->sig, -1, SIGSZ * sizeof (unsigned long));
+ clear_significand_below (r, np2);
+}
+
/* Fills R with 2**N. */
void
-real_2expN (r, n)
- REAL_VALUE_TYPE *r;
- int n;
+real_2expN (REAL_VALUE_TYPE *r, int n)
{
memset (r, 0, sizeof (*r));
@@ -2285,9 +2234,7 @@ real_2expN (r, n)
static void
-round_for_format (fmt, r)
- const struct real_format *fmt;
- REAL_VALUE_TYPE *r;
+round_for_format (const struct real_format *fmt, REAL_VALUE_TYPE *r)
{
int p2, np2, i, w;
unsigned long sticky;
@@ -2315,14 +2262,6 @@ round_for_format (fmt, r)
case rvc_nan:
clear_significand_below (r, np2);
-
- /* If we've cleared the entire significand, we need one bit
- set for this to continue to be a NaN. */
- for (i = 0; i < SIGSZ; ++i)
- if (r->sig[i])
- break;
- if (i == SIGSZ)
- r->sig[SIGSZ-1] = SIG_MSB >> 2;
return;
case rvc_normal:
@@ -2426,14 +2365,12 @@ round_for_format (fmt, r)
/* Extend or truncate to a new mode. */
void
-real_convert (r, mode, a)
- REAL_VALUE_TYPE *r;
- enum machine_mode mode;
- const REAL_VALUE_TYPE *a;
+real_convert (REAL_VALUE_TYPE *r, enum machine_mode mode,
+ const REAL_VALUE_TYPE *a)
{
const struct real_format *fmt;
- fmt = real_format_for_mode[mode - QFmode];
+ fmt = REAL_MODE_FORMAT (mode);
if (fmt == NULL)
abort ();
@@ -2448,9 +2385,7 @@ real_convert (r, mode, a)
/* Legacy. Likewise, except return the struct directly. */
REAL_VALUE_TYPE
-real_value_truncate (mode, a)
- enum machine_mode mode;
- REAL_VALUE_TYPE a;
+real_value_truncate (enum machine_mode mode, REAL_VALUE_TYPE a)
{
REAL_VALUE_TYPE r;
real_convert (&r, mode, &a);
@@ -2460,9 +2395,7 @@ real_value_truncate (mode, a)
/* Return true if truncating to MODE is exact. */
bool
-exact_real_truncate (mode, a)
- enum machine_mode mode;
- const REAL_VALUE_TYPE *a;
+exact_real_truncate (enum machine_mode mode, const REAL_VALUE_TYPE *a)
{
REAL_VALUE_TYPE t;
real_convert (&t, mode, a);
@@ -2476,10 +2409,8 @@ exact_real_truncate (mode, a)
Legacy: return word 0 for implementing REAL_VALUE_TO_TARGET_SINGLE. */
long
-real_to_target_fmt (buf, r_orig, fmt)
- long *buf;
- const REAL_VALUE_TYPE *r_orig;
- const struct real_format *fmt;
+real_to_target_fmt (long *buf, const REAL_VALUE_TYPE *r_orig,
+ const struct real_format *fmt)
{
REAL_VALUE_TYPE r;
long buf1;
@@ -2497,14 +2428,11 @@ real_to_target_fmt (buf, r_orig, fmt)
/* Similar, but look up the format from MODE. */
long
-real_to_target (buf, r, mode)
- long *buf;
- const REAL_VALUE_TYPE *r;
- enum machine_mode mode;
+real_to_target (long *buf, const REAL_VALUE_TYPE *r, enum machine_mode mode)
{
const struct real_format *fmt;
- fmt = real_format_for_mode[mode - QFmode];
+ fmt = REAL_MODE_FORMAT (mode);
if (fmt == NULL)
abort ();
@@ -2516,41 +2444,35 @@ real_to_target (buf, r, mode)
long, no matter the size of the host long. */
void
-real_from_target_fmt (r, buf, fmt)
- REAL_VALUE_TYPE *r;
- const long *buf;
- const struct real_format *fmt;
+real_from_target_fmt (REAL_VALUE_TYPE *r, const long *buf,
+ const struct real_format *fmt)
{
(*fmt->decode) (fmt, r, buf);
-}
+}
/* Similar, but look up the format from MODE. */
void
-real_from_target (r, buf, mode)
- REAL_VALUE_TYPE *r;
- const long *buf;
- enum machine_mode mode;
+real_from_target (REAL_VALUE_TYPE *r, const long *buf, enum machine_mode mode)
{
const struct real_format *fmt;
- fmt = real_format_for_mode[mode - QFmode];
+ fmt = REAL_MODE_FORMAT (mode);
if (fmt == NULL)
abort ();
(*fmt->decode) (fmt, r, buf);
-}
+}
/* Return the number of bits in the significand for MODE. */
/* ??? Legacy. Should get access to real_format directly. */
int
-significand_size (mode)
- enum machine_mode mode;
+significand_size (enum machine_mode mode)
{
const struct real_format *fmt;
- fmt = real_format_for_mode[mode - QFmode];
+ fmt = REAL_MODE_FORMAT (mode);
if (fmt == NULL)
return 0;
@@ -2562,8 +2484,7 @@ significand_size (mode)
but I didn't want to pull hashtab.h into real.h. */
unsigned int
-real_hash (r)
- const REAL_VALUE_TYPE *r;
+real_hash (const REAL_VALUE_TYPE *r)
{
unsigned int h;
size_t i;
@@ -2573,43 +2494,46 @@ real_hash (r)
{
case rvc_zero:
case rvc_inf:
- break;
+ return h;
case rvc_normal:
h |= r->exp << 3;
- /* FALLTHRU */
+ break;
case rvc_nan:
- if (sizeof(unsigned long) > sizeof(unsigned int))
- for (i = 0; i < SIGSZ; ++i)
- {
- unsigned long s = r->sig[i];
- h ^= s ^ (s >> (HOST_BITS_PER_LONG / 2));
- }
- else
- for (i = 0; i < SIGSZ; ++i)
- h ^= r->sig[i];
+ if (r->signalling)
+ h ^= (unsigned int)-1;
+ if (r->canonical)
+ return h;
break;
default:
abort ();
}
+ if (sizeof(unsigned long) > sizeof(unsigned int))
+ for (i = 0; i < SIGSZ; ++i)
+ {
+ unsigned long s = r->sig[i];
+ h ^= s ^ (s >> (HOST_BITS_PER_LONG / 2));
+ }
+ else
+ for (i = 0; i < SIGSZ; ++i)
+ h ^= r->sig[i];
+
return h;
}
/* IEEE single-precision format. */
-static void encode_ieee_single PARAMS ((const struct real_format *fmt,
- long *, const REAL_VALUE_TYPE *));
-static void decode_ieee_single PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *, const long *));
+static void encode_ieee_single (const struct real_format *fmt,
+ long *, const REAL_VALUE_TYPE *);
+static void decode_ieee_single (const struct real_format *,
+ REAL_VALUE_TYPE *, const long *);
static void
-encode_ieee_single (fmt, buf, r)
- const struct real_format *fmt;
- long *buf;
- const REAL_VALUE_TYPE *r;
+encode_ieee_single (const struct real_format *fmt, long *buf,
+ const REAL_VALUE_TYPE *r)
{
unsigned long image, sig, exp;
unsigned long sign = r->sign;
@@ -2633,10 +2557,23 @@ encode_ieee_single (fmt, buf, r)
case rvc_nan:
if (fmt->has_nans)
{
+ if (r->canonical)
+ sig = 0;
+ if (r->signalling == fmt->qnan_msb_set)
+ sig &= ~(1 << 22);
+ else
+ sig |= 1 << 22;
+ /* We overload qnan_msb_set here: it's only clear for
+ mips_ieee_single, which wants all mantissa bits but the
+ quiet/signalling one set in canonical NaNs (at least
+ Quiet ones). */
+ if (r->canonical && !fmt->qnan_msb_set)
+ sig |= (1 << 22) - 1;
+ else if (sig == 0)
+ sig = 1 << 21;
+
image |= 255 << 23;
image |= sig;
- if (!fmt->qnan_msb_set)
- image ^= 1 << 23 | 1 << 22;
}
else
image |= 0x7fffffff;
@@ -2662,10 +2599,8 @@ encode_ieee_single (fmt, buf, r)
}
static void
-decode_ieee_single (fmt, r, buf)
- const struct real_format *fmt;
- REAL_VALUE_TYPE *r;
- const long *buf;
+decode_ieee_single (const struct real_format *fmt, REAL_VALUE_TYPE *r,
+ const long *buf)
{
unsigned long image = buf[0] & 0xffffffff;
bool sign = (image >> 31) & 1;
@@ -2694,8 +2629,8 @@ decode_ieee_single (fmt, r, buf)
{
r->class = rvc_nan;
r->sign = sign;
- if (!fmt->qnan_msb_set)
- image ^= (SIG_MSB >> 1 | SIG_MSB >> 2);
+ r->signalling = (((image >> (HOST_BITS_PER_LONG - 2)) & 1)
+ ^ fmt->qnan_msb_set);
r->sig[SIGSZ-1] = image;
}
else
@@ -2713,15 +2648,17 @@ decode_ieee_single (fmt, r, buf)
}
}
-const struct real_format ieee_single_format =
+const struct real_format ieee_single_format =
{
encode_ieee_single,
decode_ieee_single,
2,
1,
24,
+ 24,
-125,
128,
+ 31,
true,
true,
true,
@@ -2729,19 +2666,35 @@ const struct real_format ieee_single_format =
true
};
+const struct real_format mips_single_format =
+ {
+ encode_ieee_single,
+ decode_ieee_single,
+ 2,
+ 1,
+ 24,
+ 24,
+ -125,
+ 128,
+ 31,
+ true,
+ true,
+ true,
+ true,
+ false
+ };
+
/* IEEE double-precision format. */
-static void encode_ieee_double PARAMS ((const struct real_format *fmt,
- long *, const REAL_VALUE_TYPE *));
-static void decode_ieee_double PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *, const long *));
+static void encode_ieee_double (const struct real_format *fmt,
+ long *, const REAL_VALUE_TYPE *);
+static void decode_ieee_double (const struct real_format *,
+ REAL_VALUE_TYPE *, const long *);
static void
-encode_ieee_double (fmt, buf, r)
- const struct real_format *fmt;
- long *buf;
- const REAL_VALUE_TYPE *r;
+encode_ieee_double (const struct real_format *fmt, long *buf,
+ const REAL_VALUE_TYPE *r)
{
unsigned long image_lo, image_hi, sig_lo, sig_hi, exp;
bool denormal = (r->sig[SIGSZ-1] & SIG_MSB) == 0;
@@ -2781,10 +2734,26 @@ encode_ieee_double (fmt, buf, r)
case rvc_nan:
if (fmt->has_nans)
{
+ if (r->canonical)
+ sig_hi = sig_lo = 0;
+ if (r->signalling == fmt->qnan_msb_set)
+ sig_hi &= ~(1 << 19);
+ else
+ sig_hi |= 1 << 19;
+ /* We overload qnan_msb_set here: it's only clear for
+ mips_ieee_single, which wants all mantissa bits but the
+ quiet/signalling one set in canonical NaNs (at least
+ Quiet ones). */
+ if (r->canonical && !fmt->qnan_msb_set)
+ {
+ sig_hi |= (1 << 19) - 1;
+ sig_lo = 0xffffffff;
+ }
+ else if (sig_hi == 0 && sig_lo == 0)
+ sig_hi = 1 << 18;
+
image_hi |= 2047 << 20;
image_hi |= sig_hi;
- if (!fmt->qnan_msb_set)
- image_hi ^= 1 << 19 | 1 << 18;
image_lo = sig_lo;
}
else
@@ -2818,10 +2787,8 @@ encode_ieee_double (fmt, buf, r)
}
static void
-decode_ieee_double (fmt, r, buf)
- const struct real_format *fmt;
- REAL_VALUE_TYPE *r;
- const long *buf;
+decode_ieee_double (const struct real_format *fmt, REAL_VALUE_TYPE *r,
+ const long *buf)
{
unsigned long image_hi, image_lo;
bool sign;
@@ -2874,6 +2841,7 @@ decode_ieee_double (fmt, r, buf)
{
r->class = rvc_nan;
r->sign = sign;
+ r->signalling = ((image_hi >> 30) & 1) ^ fmt->qnan_msb_set;
if (HOST_BITS_PER_LONG == 32)
{
r->sig[SIGSZ-1] = image_hi;
@@ -2881,9 +2849,6 @@ decode_ieee_double (fmt, r, buf)
}
else
r->sig[SIGSZ-1] = (image_hi << 31 << 1) | image_lo;
-
- if (!fmt->qnan_msb_set)
- r->sig[SIGSZ-1] ^= (SIG_MSB >> 1 | SIG_MSB >> 2);
}
else
{
@@ -2906,15 +2871,17 @@ decode_ieee_double (fmt, r, buf)
}
}
-const struct real_format ieee_double_format =
+const struct real_format ieee_double_format =
{
encode_ieee_double,
decode_ieee_double,
2,
1,
53,
+ 53,
-1021,
1024,
+ 63,
true,
true,
true,
@@ -2922,28 +2889,36 @@ const struct real_format ieee_double_format =
true
};
-
-/* IEEE extended double precision format. This comes in three
- flavours: Intel's as a 12 byte image, Intel's as a 16 byte image,
- and Motorola's. */
-
-static void encode_ieee_extended PARAMS ((const struct real_format *fmt,
- long *, const REAL_VALUE_TYPE *));
-static void decode_ieee_extended PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *, const long *));
-
-static void encode_ieee_extended_128 PARAMS ((const struct real_format *fmt,
- long *,
- const REAL_VALUE_TYPE *));
-static void decode_ieee_extended_128 PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *,
- const long *));
+const struct real_format mips_double_format =
+ {
+ encode_ieee_double,
+ decode_ieee_double,
+ 2,
+ 1,
+ 53,
+ 53,
+ -1021,
+ 1024,
+ 63,
+ true,
+ true,
+ true,
+ true,
+ false
+ };
+
+/* IEEE extended real format. This comes in three flavors: Intel's as
+ a 12 byte image, Intel's as a 16 byte image, and Motorola's. Intel
+ 12- and 16-byte images may be big- or little endian; Motorola's is
+ always big endian. */
+
+/* Helper subroutine which converts from the internal format to the
+ 12-byte little-endian Intel format. Functions below adjust this
+ for the other possible formats. */
static void
-encode_ieee_extended (fmt, buf, r)
- const struct real_format *fmt;
- long *buf;
- const REAL_VALUE_TYPE *r;
+encode_ieee_extended (const struct real_format *fmt, long *buf,
+ const REAL_VALUE_TYPE *r)
{
unsigned long image_hi, sig_hi, sig_lo;
bool denormal = (r->sig[SIGSZ-1] & SIG_MSB) == 0;
@@ -2988,8 +2963,12 @@ encode_ieee_extended (fmt, buf, r)
sig_hi = sig_lo >> 31 >> 1;
sig_lo &= 0xffffffff;
}
- if (!fmt->qnan_msb_set)
- sig_hi ^= 1 << 30 | 1 << 29;
+ if (r->signalling == fmt->qnan_msb_set)
+ sig_hi &= ~(1 << 30);
+ else
+ sig_hi |= 1 << 30;
+ if ((sig_hi & 0x7fffffff) == 0 && sig_lo == 0)
+ sig_hi = 1 << 29;
/* Intel requires the explicit integer bit to be set, otherwise
it considers the value a "pseudo-nan". Motorola docs say it
@@ -3009,11 +2988,11 @@ encode_ieee_extended (fmt, buf, r)
/* Recall that IEEE numbers are interpreted as 1.F x 2**exp,
whereas the intermediate representation is 0.F x 2**exp.
- Which means we're off by one.
+ Which means we're off by one.
Except for Motorola, which consider exp=0 and explicit
integer bit set to continue to be normalized. In theory
- this descrepency has been taken care of by the difference
+ this discrepancy has been taken care of by the difference
in fmt->emin in round_for_format. */
if (denormal)
@@ -3044,36 +3023,74 @@ encode_ieee_extended (fmt, buf, r)
abort ();
}
+ buf[0] = sig_lo, buf[1] = sig_hi, buf[2] = image_hi;
+}
+
+/* Convert from the internal format to the 12-byte Motorola format
+ for an IEEE extended real. */
+static void
+encode_ieee_extended_motorola (const struct real_format *fmt, long *buf,
+ const REAL_VALUE_TYPE *r)
+{
+ long intermed[3];
+ encode_ieee_extended (fmt, intermed, r);
+
+ /* Motorola chips are assumed always to be big-endian. Also, the
+ padding in a Motorola extended real goes between the exponent and
+ the mantissa. At this point the mantissa is entirely within
+ elements 0 and 1 of intermed, and the exponent entirely within
+ element 2, so all we have to do is swap the order around, and
+ shift element 2 left 16 bits. */
+ buf[0] = intermed[2] << 16;
+ buf[1] = intermed[1];
+ buf[2] = intermed[0];
+}
+
+/* Convert from the internal format to the 12-byte Intel format for
+ an IEEE extended real. */
+static void
+encode_ieee_extended_intel_96 (const struct real_format *fmt, long *buf,
+ const REAL_VALUE_TYPE *r)
+{
if (FLOAT_WORDS_BIG_ENDIAN)
- buf[0] = image_hi << 16, buf[1] = sig_hi, buf[2] = sig_lo;
+ {
+ /* All the padding in an Intel-format extended real goes at the high
+ end, which in this case is after the mantissa, not the exponent.
+ Therefore we must shift everything down 16 bits. */
+ long intermed[3];
+ encode_ieee_extended (fmt, intermed, r);
+ buf[0] = ((intermed[2] << 16) | ((unsigned long)(intermed[1] & 0xFFFF0000) >> 16));
+ buf[1] = ((intermed[1] << 16) | ((unsigned long)(intermed[0] & 0xFFFF0000) >> 16));
+ buf[2] = (intermed[0] << 16);
+ }
else
- buf[0] = sig_lo, buf[1] = sig_hi, buf[2] = image_hi;
+ /* encode_ieee_extended produces what we want directly. */
+ encode_ieee_extended (fmt, buf, r);
}
+/* Convert from the internal format to the 16-byte Intel format for
+ an IEEE extended real. */
static void
-encode_ieee_extended_128 (fmt, buf, r)
- const struct real_format *fmt;
- long *buf;
- const REAL_VALUE_TYPE *r;
+encode_ieee_extended_intel_128 (const struct real_format *fmt, long *buf,
+ const REAL_VALUE_TYPE *r)
{
- buf[3 * !FLOAT_WORDS_BIG_ENDIAN] = 0;
- encode_ieee_extended (fmt, buf+!!FLOAT_WORDS_BIG_ENDIAN, r);
+ /* All the padding in an Intel-format extended real goes at the high end. */
+ encode_ieee_extended_intel_96 (fmt, buf, r);
+ buf[3] = 0;
}
+/* As above, we have a helper function which converts from 12-byte
+ little-endian Intel format to internal format. Functions below
+ adjust for the other possible formats. */
static void
-decode_ieee_extended (fmt, r, buf)
- const struct real_format *fmt;
- REAL_VALUE_TYPE *r;
- const long *buf;
+decode_ieee_extended (const struct real_format *fmt, REAL_VALUE_TYPE *r,
+ const long *buf)
{
unsigned long image_hi, sig_hi, sig_lo;
bool sign;
int exp;
- if (FLOAT_WORDS_BIG_ENDIAN)
- image_hi = buf[0] >> 16, sig_hi = buf[1], sig_lo = buf[2];
- else
- sig_lo = buf[0], sig_hi = buf[1], image_hi = buf[2];
+ sig_lo = buf[0], sig_hi = buf[1], image_hi = buf[2];
sig_lo &= 0xffffffff;
sig_hi &= 0xffffffff;
image_hi &= 0xffffffff;
@@ -3120,6 +3137,7 @@ decode_ieee_extended (fmt, r, buf)
{
r->class = rvc_nan;
r->sign = sign;
+ r->signalling = ((sig_hi >> 30) & 1) ^ fmt->qnan_msb_set;
if (HOST_BITS_PER_LONG == 32)
{
r->sig[SIGSZ-1] = sig_hi;
@@ -3127,9 +3145,6 @@ decode_ieee_extended (fmt, r, buf)
}
else
r->sig[SIGSZ-1] = (sig_hi << 31 << 1) | sig_lo;
-
- if (!fmt->qnan_msb_set)
- r->sig[SIGSZ-1] ^= (SIG_MSB >> 1 | SIG_MSB >> 2);
}
else
{
@@ -3152,24 +3167,69 @@ decode_ieee_extended (fmt, r, buf)
}
}
+/* Convert from the internal format to the 12-byte Motorola format
+ for an IEEE extended real. */
+static void
+decode_ieee_extended_motorola (const struct real_format *fmt, REAL_VALUE_TYPE *r,
+ const long *buf)
+{
+ long intermed[3];
+
+ /* Motorola chips are assumed always to be big-endian. Also, the
+ padding in a Motorola extended real goes between the exponent and
+ the mantissa; remove it. */
+ intermed[0] = buf[2];
+ intermed[1] = buf[1];
+ intermed[2] = (unsigned long)buf[0] >> 16;
+
+ decode_ieee_extended (fmt, r, intermed);
+}
+
+/* Convert from the internal format to the 12-byte Intel format for
+ an IEEE extended real. */
+static void
+decode_ieee_extended_intel_96 (const struct real_format *fmt, REAL_VALUE_TYPE *r,
+ const long *buf)
+{
+ if (FLOAT_WORDS_BIG_ENDIAN)
+ {
+ /* All the padding in an Intel-format extended real goes at the high
+ end, which in this case is after the mantissa, not the exponent.
+ Therefore we must shift everything up 16 bits. */
+ long intermed[3];
+
+ intermed[0] = (((unsigned long)buf[2] >> 16) | (buf[1] << 16));
+ intermed[1] = (((unsigned long)buf[1] >> 16) | (buf[0] << 16));
+ intermed[2] = ((unsigned long)buf[0] >> 16);
+
+ decode_ieee_extended (fmt, r, intermed);
+ }
+ else
+ /* decode_ieee_extended produces what we want directly. */
+ decode_ieee_extended (fmt, r, buf);
+}
+
+/* Convert from the internal format to the 16-byte Intel format for
+ an IEEE extended real. */
static void
-decode_ieee_extended_128 (fmt, r, buf)
- const struct real_format *fmt;
- REAL_VALUE_TYPE *r;
- const long *buf;
+decode_ieee_extended_intel_128 (const struct real_format *fmt, REAL_VALUE_TYPE *r,
+ const long *buf)
{
- decode_ieee_extended (fmt, r, buf+!!FLOAT_WORDS_BIG_ENDIAN);
+ /* All the padding in an Intel-format extended real goes at the high end. */
+ decode_ieee_extended_intel_96 (fmt, r, buf);
}
-const struct real_format ieee_extended_motorola_format =
+const struct real_format ieee_extended_motorola_format =
{
- encode_ieee_extended,
- decode_ieee_extended,
+ encode_ieee_extended_motorola,
+ decode_ieee_extended_motorola,
2,
1,
64,
+ 64,
-16382,
16384,
+ 95,
true,
true,
true,
@@ -3177,15 +3237,17 @@ const struct real_format ieee_extended_motorola_format =
true
};
-const struct real_format ieee_extended_intel_96_format =
+const struct real_format ieee_extended_intel_96_format =
{
- encode_ieee_extended,
- decode_ieee_extended,
+ encode_ieee_extended_intel_96,
+ decode_ieee_extended_intel_96,
2,
1,
64,
+ 64,
-16381,
16384,
+ 79,
true,
true,
true,
@@ -3193,15 +3255,17 @@ const struct real_format ieee_extended_intel_96_format =
true
};
-const struct real_format ieee_extended_intel_128_format =
+const struct real_format ieee_extended_intel_128_format =
{
- encode_ieee_extended_128,
- decode_ieee_extended_128,
+ encode_ieee_extended_intel_128,
+ decode_ieee_extended_intel_128,
2,
1,
64,
+ 64,
-16381,
16384,
+ 79,
true,
true,
true,
@@ -3211,15 +3275,17 @@ const struct real_format ieee_extended_intel_128_format =
/* The following caters to i386 systems that set the rounding precision
to 53 bits instead of 64, e.g. FreeBSD. */
-const struct real_format ieee_extended_intel_96_round_53_format =
+const struct real_format ieee_extended_intel_96_round_53_format =
{
- encode_ieee_extended,
- decode_ieee_extended,
+ encode_ieee_extended_intel_96,
+ decode_ieee_extended_intel_96,
2,
1,
53,
+ 53,
-16381,
16384,
+ 79,
true,
true,
true,
@@ -3236,97 +3302,76 @@ const struct real_format ieee_extended_intel_96_round_53_format =
ignored. Zeroes, Infinities, and NaNs are set in both doubles
due to precedent. */
-static void encode_ibm_extended PARAMS ((const struct real_format *fmt,
- long *, const REAL_VALUE_TYPE *));
-static void decode_ibm_extended PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *, const long *));
+static void encode_ibm_extended (const struct real_format *fmt,
+ long *, const REAL_VALUE_TYPE *);
+static void decode_ibm_extended (const struct real_format *,
+ REAL_VALUE_TYPE *, const long *);
static void
-encode_ibm_extended (fmt, buf, r)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- long *buf;
- const REAL_VALUE_TYPE *r;
+encode_ibm_extended (const struct real_format *fmt, long *buf,
+ const REAL_VALUE_TYPE *r)
{
- REAL_VALUE_TYPE u, v;
-
- switch (r->class)
- {
- case rvc_zero:
- /* Both doubles have sign bit set. */
- buf[0] = FLOAT_WORDS_BIG_ENDIAN ? r->sign << 31 : 0;
- buf[1] = FLOAT_WORDS_BIG_ENDIAN ? 0 : r->sign << 31;
- buf[2] = buf[0];
- buf[3] = buf[1];
- break;
+ REAL_VALUE_TYPE u, normr, v;
+ const struct real_format *base_fmt;
- case rvc_inf:
- case rvc_nan:
- /* Both doubles set to Inf / NaN. */
- encode_ieee_double (&ieee_double_format, &buf[0], r);
- buf[2] = buf[0];
- buf[3] = buf[1];
- return;
-
- case rvc_normal:
- /* u = IEEE double precision portion of significand. */
- u = *r;
- clear_significand_below (&u, SIGNIFICAND_BITS - 53);
-
- normalize (&u);
- /* If the upper double is zero, we have a denormal double, so
- move it to the first double and leave the second as zero. */
- if (u.class == rvc_zero)
- {
- v = u;
- u = *r;
- normalize (&u);
- }
- else
- {
- /* v = remainder containing additional 53 bits of significand. */
- do_add (&v, r, &u, 1);
- round_for_format (&ieee_double_format, &v);
- }
+ base_fmt = fmt->qnan_msb_set ? &ieee_double_format : &mips_double_format;
- round_for_format (&ieee_double_format, &u);
+ /* Renormlize R before doing any arithmetic on it. */
+ normr = *r;
+ if (normr.class == rvc_normal)
+ normalize (&normr);
- encode_ieee_double (&ieee_double_format, &buf[0], &u);
- encode_ieee_double (&ieee_double_format, &buf[2], &v);
- break;
+ /* u = IEEE double precision portion of significand. */
+ u = normr;
+ round_for_format (base_fmt, &u);
+ encode_ieee_double (base_fmt, &buf[0], &u);
- default:
- abort ();
+ if (u.class == rvc_normal)
+ {
+ do_add (&v, &normr, &u, 1);
+ /* Call round_for_format since we might need to denormalize. */
+ round_for_format (base_fmt, &v);
+ encode_ieee_double (base_fmt, &buf[2], &v);
+ }
+ else
+ {
+ /* Inf, NaN, 0 are all representable as doubles, so the
+ least-significant part can be 0.0. */
+ buf[2] = 0;
+ buf[3] = 0;
}
}
static void
-decode_ibm_extended (fmt, r, buf)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- REAL_VALUE_TYPE *r;
- const long *buf;
+decode_ibm_extended (const struct real_format *fmt ATTRIBUTE_UNUSED, REAL_VALUE_TYPE *r,
+ const long *buf)
{
REAL_VALUE_TYPE u, v;
+ const struct real_format *base_fmt;
- decode_ieee_double (&ieee_double_format, &u, &buf[0]);
+ base_fmt = fmt->qnan_msb_set ? &ieee_double_format : &mips_double_format;
+ decode_ieee_double (base_fmt, &u, &buf[0]);
if (u.class != rvc_zero && u.class != rvc_inf && u.class != rvc_nan)
{
- decode_ieee_double (&ieee_double_format, &v, &buf[2]);
+ decode_ieee_double (base_fmt, &v, &buf[2]);
do_add (r, &u, &v, 0);
}
else
*r = u;
}
-const struct real_format ibm_extended_format =
+const struct real_format ibm_extended_format =
{
encode_ibm_extended,
decode_ibm_extended,
2,
1,
53 + 53,
+ 53,
-1021 + 53,
1024,
+ -1,
true,
true,
true,
@@ -3334,19 +3379,35 @@ const struct real_format ibm_extended_format =
true
};
+const struct real_format mips_extended_format =
+ {
+ encode_ibm_extended,
+ decode_ibm_extended,
+ 2,
+ 1,
+ 53 + 53,
+ 53,
+ -1021 + 53,
+ 1024,
+ -1,
+ true,
+ true,
+ true,
+ true,
+ false
+ };
+
/* IEEE quad precision format. */
-static void encode_ieee_quad PARAMS ((const struct real_format *fmt,
- long *, const REAL_VALUE_TYPE *));
-static void decode_ieee_quad PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *, const long *));
+static void encode_ieee_quad (const struct real_format *fmt,
+ long *, const REAL_VALUE_TYPE *);
+static void decode_ieee_quad (const struct real_format *,
+ REAL_VALUE_TYPE *, const long *);
static void
-encode_ieee_quad (fmt, buf, r)
- const struct real_format *fmt;
- long *buf;
- const REAL_VALUE_TYPE *r;
+encode_ieee_quad (const struct real_format *fmt, long *buf,
+ const REAL_VALUE_TYPE *r)
{
unsigned long image3, image2, image1, image0, exp;
bool denormal = (r->sig[SIGSZ-1] & SIG_MSB) == 0;
@@ -3381,7 +3442,12 @@ encode_ieee_quad (fmt, buf, r)
{
image3 |= 32767 << 16;
- if (HOST_BITS_PER_LONG == 32)
+ if (r->canonical)
+ {
+ /* Don't use bits from the significand. The
+ initialization above is right. */
+ }
+ else if (HOST_BITS_PER_LONG == 32)
{
image0 = u.sig[0];
image1 = u.sig[1];
@@ -3397,9 +3463,21 @@ encode_ieee_quad (fmt, buf, r)
image0 &= 0xffffffff;
image2 &= 0xffffffff;
}
-
- if (!fmt->qnan_msb_set)
- image3 ^= 1 << 15 | 1 << 14;
+ if (r->signalling == fmt->qnan_msb_set)
+ image3 &= ~0x8000;
+ else
+ image3 |= 0x8000;
+ /* We overload qnan_msb_set here: it's only clear for
+ mips_ieee_single, which wants all mantissa bits but the
+ quiet/signalling one set in canonical NaNs (at least
+ Quiet ones). */
+ if (r->canonical && !fmt->qnan_msb_set)
+ {
+ image3 |= 0x7fff;
+ image2 = image1 = image0 = 0xffffffff;
+ }
+ else if (((image3 & 0xffff) | image2 | image1 | image0) == 0)
+ image3 |= 0x4000;
}
else
{
@@ -3459,10 +3537,8 @@ encode_ieee_quad (fmt, buf, r)
}
static void
-decode_ieee_quad (fmt, r, buf)
- const struct real_format *fmt;
- REAL_VALUE_TYPE *r;
- const long *buf;
+decode_ieee_quad (const struct real_format *fmt, REAL_VALUE_TYPE *r,
+ const long *buf)
{
unsigned long image3, image2, image1, image0;
bool sign;
@@ -3524,6 +3600,7 @@ decode_ieee_quad (fmt, r, buf)
{
r->class = rvc_nan;
r->sign = sign;
+ r->signalling = ((image3 >> 15) & 1) ^ fmt->qnan_msb_set;
if (HOST_BITS_PER_LONG == 32)
{
@@ -3538,9 +3615,6 @@ decode_ieee_quad (fmt, r, buf)
r->sig[1] = (image3 << 31 << 1) | image2;
}
lshift_significand (r, r, SIGNIFICAND_BITS - 113);
-
- if (!fmt->qnan_msb_set)
- r->sig[SIGSZ-1] ^= (SIG_MSB >> 1 | SIG_MSB >> 2);
}
else
{
@@ -3571,50 +3645,68 @@ decode_ieee_quad (fmt, r, buf)
}
}
-const struct real_format ieee_quad_format =
+const struct real_format ieee_quad_format =
{
encode_ieee_quad,
decode_ieee_quad,
2,
1,
113,
+ 113,
-16381,
16384,
+ 127,
true,
true,
true,
true,
true
};
+
+const struct real_format mips_quad_format =
+ {
+ encode_ieee_quad,
+ decode_ieee_quad,
+ 2,
+ 1,
+ 113,
+ 113,
+ -16381,
+ 16384,
+ 127,
+ true,
+ true,
+ true,
+ true,
+ false
+ };
/* Descriptions of VAX floating point formats can be found beginning at
- http://www.openvms.compaq.com:8000/73final/4515/4515pro_013.html#f_floating_point_format
+ http://h71000.www7.hp.com/doc/73FINAL/4515/4515pro_013.html#f_floating_point_format
The thing to remember is that they're almost IEEE, except for word
order, exponent bias, and the lack of infinities, nans, and denormals.
We don't implement the H_floating format here, simply because neither
the VAX or Alpha ports use it. */
-
-static void encode_vax_f PARAMS ((const struct real_format *fmt,
- long *, const REAL_VALUE_TYPE *));
-static void decode_vax_f PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *, const long *));
-static void encode_vax_d PARAMS ((const struct real_format *fmt,
- long *, const REAL_VALUE_TYPE *));
-static void decode_vax_d PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *, const long *));
-static void encode_vax_g PARAMS ((const struct real_format *fmt,
- long *, const REAL_VALUE_TYPE *));
-static void decode_vax_g PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *, const long *));
+
+static void encode_vax_f (const struct real_format *fmt,
+ long *, const REAL_VALUE_TYPE *);
+static void decode_vax_f (const struct real_format *,
+ REAL_VALUE_TYPE *, const long *);
+static void encode_vax_d (const struct real_format *fmt,
+ long *, const REAL_VALUE_TYPE *);
+static void decode_vax_d (const struct real_format *,
+ REAL_VALUE_TYPE *, const long *);
+static void encode_vax_g (const struct real_format *fmt,
+ long *, const REAL_VALUE_TYPE *);
+static void decode_vax_g (const struct real_format *,
+ REAL_VALUE_TYPE *, const long *);
static void
-encode_vax_f (fmt, buf, r)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- long *buf;
- const REAL_VALUE_TYPE *r;
+encode_vax_f (const struct real_format *fmt ATTRIBUTE_UNUSED, long *buf,
+ const REAL_VALUE_TYPE *r)
{
unsigned long sign, exp, sig, image;
@@ -3649,10 +3741,8 @@ encode_vax_f (fmt, buf, r)
}
static void
-decode_vax_f (fmt, r, buf)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- REAL_VALUE_TYPE *r;
- const long *buf;
+decode_vax_f (const struct real_format *fmt ATTRIBUTE_UNUSED,
+ REAL_VALUE_TYPE *r, const long *buf)
{
unsigned long image = buf[0] & 0xffffffff;
int exp = (image >> 7) & 0xff;
@@ -3671,10 +3761,8 @@ decode_vax_f (fmt, r, buf)
}
static void
-encode_vax_d (fmt, buf, r)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- long *buf;
- const REAL_VALUE_TYPE *r;
+encode_vax_d (const struct real_format *fmt ATTRIBUTE_UNUSED, long *buf,
+ const REAL_VALUE_TYPE *r)
{
unsigned long image0, image1, sign = r->sign << 15;
@@ -3727,10 +3815,8 @@ encode_vax_d (fmt, buf, r)
}
static void
-decode_vax_d (fmt, r, buf)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- REAL_VALUE_TYPE *r;
- const long *buf;
+decode_vax_d (const struct real_format *fmt ATTRIBUTE_UNUSED,
+ REAL_VALUE_TYPE *r, const long *buf)
{
unsigned long image0, image1;
int exp;
@@ -3742,7 +3828,7 @@ decode_vax_d (fmt, r, buf)
image0 &= 0xffffffff;
image1 &= 0xffffffff;
- exp = (image0 >> 7) & 0x7f;
+ exp = (image0 >> 7) & 0xff;
memset (r, 0, sizeof (*r));
@@ -3775,10 +3861,8 @@ decode_vax_d (fmt, r, buf)
}
static void
-encode_vax_g (fmt, buf, r)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- long *buf;
- const REAL_VALUE_TYPE *r;
+encode_vax_g (const struct real_format *fmt ATTRIBUTE_UNUSED, long *buf,
+ const REAL_VALUE_TYPE *r)
{
unsigned long image0, image1, sign = r->sign << 15;
@@ -3831,10 +3915,8 @@ encode_vax_g (fmt, buf, r)
}
static void
-decode_vax_g (fmt, r, buf)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- REAL_VALUE_TYPE *r;
- const long *buf;
+decode_vax_g (const struct real_format *fmt ATTRIBUTE_UNUSED,
+ REAL_VALUE_TYPE *r, const long *buf)
{
unsigned long image0, image1;
int exp;
@@ -3878,15 +3960,17 @@ decode_vax_g (fmt, r, buf)
}
}
-const struct real_format vax_f_format =
+const struct real_format vax_f_format =
{
encode_vax_f,
decode_vax_f,
2,
1,
24,
+ 24,
-127,
127,
+ 15,
false,
false,
false,
@@ -3894,15 +3978,17 @@ const struct real_format vax_f_format =
false
};
-const struct real_format vax_d_format =
+const struct real_format vax_d_format =
{
encode_vax_d,
decode_vax_d,
2,
1,
56,
+ 56,
-127,
127,
+ 15,
false,
false,
false,
@@ -3910,15 +3996,17 @@ const struct real_format vax_d_format =
false
};
-const struct real_format vax_g_format =
+const struct real_format vax_g_format =
{
encode_vax_g,
decode_vax_g,
2,
1,
53,
+ 53,
-1023,
1023,
+ 15,
false,
false,
false,
@@ -3933,20 +4021,18 @@ const struct real_format vax_g_format =
http://publibz.boulder.ibm.com/cgi-bin/bookmgr_OS390/BOOKS/DZ9AR001/9.1?DT=19930923083613
*/
-static void encode_i370_single PARAMS ((const struct real_format *fmt,
- long *, const REAL_VALUE_TYPE *));
-static void decode_i370_single PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *, const long *));
-static void encode_i370_double PARAMS ((const struct real_format *fmt,
- long *, const REAL_VALUE_TYPE *));
-static void decode_i370_double PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *, const long *));
+static void encode_i370_single (const struct real_format *fmt,
+ long *, const REAL_VALUE_TYPE *);
+static void decode_i370_single (const struct real_format *,
+ REAL_VALUE_TYPE *, const long *);
+static void encode_i370_double (const struct real_format *fmt,
+ long *, const REAL_VALUE_TYPE *);
+static void decode_i370_double (const struct real_format *,
+ REAL_VALUE_TYPE *, const long *);
static void
-encode_i370_single (fmt, buf, r)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- long *buf;
- const REAL_VALUE_TYPE *r;
+encode_i370_single (const struct real_format *fmt ATTRIBUTE_UNUSED,
+ long *buf, const REAL_VALUE_TYPE *r)
{
unsigned long sign, exp, sig, image;
@@ -3977,10 +4063,8 @@ encode_i370_single (fmt, buf, r)
}
static void
-decode_i370_single (fmt, r, buf)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- REAL_VALUE_TYPE *r;
- const long *buf;
+decode_i370_single (const struct real_format *fmt ATTRIBUTE_UNUSED,
+ REAL_VALUE_TYPE *r, const long *buf)
{
unsigned long sign, sig, image = buf[0];
int exp;
@@ -4002,10 +4086,8 @@ decode_i370_single (fmt, r, buf)
}
static void
-encode_i370_double (fmt, buf, r)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- long *buf;
- const REAL_VALUE_TYPE *r;
+encode_i370_double (const struct real_format *fmt ATTRIBUTE_UNUSED,
+ long *buf, const REAL_VALUE_TYPE *r)
{
unsigned long sign, exp, image_hi, image_lo;
@@ -4053,10 +4135,8 @@ encode_i370_double (fmt, buf, r)
}
static void
-decode_i370_double (fmt, r, buf)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- REAL_VALUE_TYPE *r;
- const long *buf;
+decode_i370_double (const struct real_format *fmt ATTRIBUTE_UNUSED,
+ REAL_VALUE_TYPE *r, const long *buf)
{
unsigned long sign, image_hi, image_lo;
int exp;
@@ -4098,8 +4178,10 @@ const struct real_format i370_single_format =
16,
4,
6,
+ 6,
-64,
63,
+ 31,
false,
false,
false, /* ??? The encoding does allow for "unnormals". */
@@ -4114,8 +4196,10 @@ const struct real_format i370_double_format =
16,
4,
14,
+ 14,
-64,
63,
+ 63,
false,
false,
false, /* ??? The encoding does allow for "unnormals". */
@@ -4142,23 +4226,21 @@ const struct real_format i370_double_format =
See http://www-s.ti.com/sc/psheets/spru063c/spru063c.pdf */
-static void encode_c4x_single PARAMS ((const struct real_format *fmt,
- long *, const REAL_VALUE_TYPE *));
-static void decode_c4x_single PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *, const long *));
-static void encode_c4x_extended PARAMS ((const struct real_format *fmt,
- long *, const REAL_VALUE_TYPE *));
-static void decode_c4x_extended PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *, const long *));
+static void encode_c4x_single (const struct real_format *fmt,
+ long *, const REAL_VALUE_TYPE *);
+static void decode_c4x_single (const struct real_format *,
+ REAL_VALUE_TYPE *, const long *);
+static void encode_c4x_extended (const struct real_format *fmt,
+ long *, const REAL_VALUE_TYPE *);
+static void decode_c4x_extended (const struct real_format *,
+ REAL_VALUE_TYPE *, const long *);
static void
-encode_c4x_single (fmt, buf, r)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- long *buf;
- const REAL_VALUE_TYPE *r;
+encode_c4x_single (const struct real_format *fmt ATTRIBUTE_UNUSED,
+ long *buf, const REAL_VALUE_TYPE *r)
{
unsigned long image, exp, sig;
-
+
switch (r->class)
{
case rvc_zero:
@@ -4194,10 +4276,8 @@ encode_c4x_single (fmt, buf, r)
}
static void
-decode_c4x_single (fmt, r, buf)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- REAL_VALUE_TYPE *r;
- const long *buf;
+decode_c4x_single (const struct real_format *fmt ATTRIBUTE_UNUSED,
+ REAL_VALUE_TYPE *r, const long *buf)
{
unsigned long image = buf[0];
unsigned long sig;
@@ -4229,13 +4309,11 @@ decode_c4x_single (fmt, r, buf)
}
static void
-encode_c4x_extended (fmt, buf, r)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- long *buf;
- const REAL_VALUE_TYPE *r;
+encode_c4x_extended (const struct real_format *fmt ATTRIBUTE_UNUSED,
+ long *buf, const REAL_VALUE_TYPE *r)
{
unsigned long exp, sig;
-
+
switch (r->class)
{
case rvc_zero:
@@ -4281,10 +4359,8 @@ encode_c4x_extended (fmt, buf, r)
}
static void
-decode_c4x_extended (fmt, r, buf)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- REAL_VALUE_TYPE *r;
- const long *buf;
+decode_c4x_extended (const struct real_format *fmt ATTRIBUTE_UNUSED,
+ REAL_VALUE_TYPE *r, const long *buf)
{
unsigned long sig;
int exp, sf;
@@ -4321,15 +4397,17 @@ decode_c4x_extended (fmt, r, buf)
}
}
-const struct real_format c4x_single_format =
+const struct real_format c4x_single_format =
{
encode_c4x_single,
decode_c4x_single,
2,
1,
24,
+ 24,
-126,
128,
+ -1,
false,
false,
false,
@@ -4337,15 +4415,17 @@ const struct real_format c4x_single_format =
false
};
-const struct real_format c4x_extended_format =
+const struct real_format c4x_extended_format =
{
encode_c4x_extended,
decode_c4x_extended,
2,
1,
32,
+ 32,
-126,
128,
+ -1,
false,
false,
false,
@@ -4359,58 +4439,210 @@ const struct real_format c4x_extended_format =
The encode and decode routines exist only to satisfy our paranoia
harness. */
-static void encode_internal PARAMS ((const struct real_format *fmt,
- long *, const REAL_VALUE_TYPE *));
-static void decode_internal PARAMS ((const struct real_format *,
- REAL_VALUE_TYPE *, const long *));
+static void encode_internal (const struct real_format *fmt,
+ long *, const REAL_VALUE_TYPE *);
+static void decode_internal (const struct real_format *,
+ REAL_VALUE_TYPE *, const long *);
static void
-encode_internal (fmt, buf, r)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- long *buf;
- const REAL_VALUE_TYPE *r;
+encode_internal (const struct real_format *fmt ATTRIBUTE_UNUSED, long *buf,
+ const REAL_VALUE_TYPE *r)
{
memcpy (buf, r, sizeof (*r));
}
static void
-decode_internal (fmt, r, buf)
- const struct real_format *fmt ATTRIBUTE_UNUSED;
- REAL_VALUE_TYPE *r;
- const long *buf;
+decode_internal (const struct real_format *fmt ATTRIBUTE_UNUSED,
+ REAL_VALUE_TYPE *r, const long *buf)
{
memcpy (r, buf, sizeof (*r));
}
-const struct real_format real_internal_format =
+const struct real_format real_internal_format =
{
encode_internal,
decode_internal,
2,
1,
SIGNIFICAND_BITS - 2,
+ SIGNIFICAND_BITS - 2,
-MAX_EXP,
MAX_EXP,
+ -1,
true,
true,
false,
true,
- true
+ true
};
-/* Set up default mode to format mapping for IEEE. Everyone else has
- to set these values in OVERRIDE_OPTIONS. */
+/* Calculate the square root of X in mode MODE, and store the result
+ in R. Return TRUE if the operation does not raise an exception.
+ For details see "High Precision Division and Square Root",
+ Alan H. Karp and Peter Markstein, HP Lab Report 93-93-42, June
+ 1993. http://www.hpl.hp.com/techreports/93/HPL-93-42.pdf. */
-const struct real_format *real_format_for_mode[TFmode - QFmode + 1] =
+bool
+real_sqrt (REAL_VALUE_TYPE *r, enum machine_mode mode,
+ const REAL_VALUE_TYPE *x)
{
- NULL, /* QFmode */
- NULL, /* HFmode */
- NULL, /* TQFmode */
- &ieee_single_format, /* SFmode */
- &ieee_double_format, /* DFmode */
-
- /* We explicitly don't handle XFmode. There are two formats,
- pretty much equally common. Choose one in OVERRIDE_OPTIONS. */
- NULL, /* XFmode */
- &ieee_quad_format /* TFmode */
-};
+ static REAL_VALUE_TYPE halfthree;
+ static bool init = false;
+ REAL_VALUE_TYPE h, t, i;
+ int iter, exp;
+
+ /* sqrt(-0.0) is -0.0. */
+ if (real_isnegzero (x))
+ {
+ *r = *x;
+ return false;
+ }
+
+ /* Negative arguments return NaN. */
+ if (real_isneg (x))
+ {
+ get_canonical_qnan (r, 0);
+ return false;
+ }
+
+ /* Infinity and NaN return themselves. */
+ if (real_isinf (x) || real_isnan (x))
+ {
+ *r = *x;
+ return false;
+ }
+
+ if (!init)
+ {
+ do_add (&halfthree, &dconst1, &dconsthalf, 0);
+ init = true;
+ }
+
+ /* Initial guess for reciprocal sqrt, i. */
+ exp = real_exponent (x);
+ real_ldexp (&i, &dconst1, -exp/2);
+
+ /* Newton's iteration for reciprocal sqrt, i. */
+ for (iter = 0; iter < 16; iter++)
+ {
+ /* i(n+1) = i(n) * (1.5 - 0.5*i(n)*i(n)*x). */
+ do_multiply (&t, x, &i);
+ do_multiply (&h, &t, &i);
+ do_multiply (&t, &h, &dconsthalf);
+ do_add (&h, &halfthree, &t, 1);
+ do_multiply (&t, &i, &h);
+
+ /* Check for early convergence. */
+ if (iter >= 6 && real_identical (&i, &t))
+ break;
+
+ /* ??? Unroll loop to avoid copying. */
+ i = t;
+ }
+
+ /* Final iteration: r = i*x + 0.5*i*x*(1.0 - i*(i*x)). */
+ do_multiply (&t, x, &i);
+ do_multiply (&h, &t, &i);
+ do_add (&i, &dconst1, &h, 1);
+ do_multiply (&h, &t, &i);
+ do_multiply (&i, &dconsthalf, &h);
+ do_add (&h, &t, &i, 0);
+
+ /* ??? We need a Tuckerman test to get the last bit. */
+
+ real_convert (r, mode, &h);
+ return true;
+}
+
+/* Calculate X raised to the integer exponent N in mode MODE and store
+ the result in R. Return true if the result may be inexact due to
+ loss of precision. The algorithm is the classic "left-to-right binary
+ method" described in section 4.6.3 of Donald Knuth's "Seminumerical
+ Algorithms", "The Art of Computer Programming", Volume 2. */
+
+bool
+real_powi (REAL_VALUE_TYPE *r, enum machine_mode mode,
+ const REAL_VALUE_TYPE *x, HOST_WIDE_INT n)
+{
+ unsigned HOST_WIDE_INT bit;
+ REAL_VALUE_TYPE t;
+ bool inexact = false;
+ bool init = false;
+ bool neg;
+ int i;
+
+ if (n == 0)
+ {
+ *r = dconst1;
+ return false;
+ }
+ else if (n < 0)
+ {
+ /* Don't worry about overflow, from now on n is unsigned. */
+ neg = true;
+ n = -n;
+ }
+ else
+ neg = false;
+
+ t = *x;
+ bit = (unsigned HOST_WIDE_INT) 1 << (HOST_BITS_PER_WIDE_INT - 1);
+ for (i = 0; i < HOST_BITS_PER_WIDE_INT; i++)
+ {
+ if (init)
+ {
+ inexact |= do_multiply (&t, &t, &t);
+ if (n & bit)
+ inexact |= do_multiply (&t, &t, x);
+ }
+ else if (n & bit)
+ init = true;
+ bit >>= 1;
+ }
+
+ if (neg)
+ inexact |= do_divide (&t, &dconst1, &t);
+
+ real_convert (r, mode, &t);
+ return inexact;
+}
+
+/* Round X to the nearest integer not larger in absolute value, i.e.
+ towards zero, placing the result in R in mode MODE. */
+
+void
+real_trunc (REAL_VALUE_TYPE *r, enum machine_mode mode,
+ const REAL_VALUE_TYPE *x)
+{
+ do_fix_trunc (r, x);
+ if (mode != VOIDmode)
+ real_convert (r, mode, r);
+}
+
+/* Round X to the largest integer not greater in value, i.e. round
+ down, placing the result in R in mode MODE. */
+
+void
+real_floor (REAL_VALUE_TYPE *r, enum machine_mode mode,
+ const REAL_VALUE_TYPE *x)
+{
+ do_fix_trunc (r, x);
+ if (! real_identical (r, x) && r->sign)
+ do_add (r, r, &dconstm1, 0);
+ if (mode != VOIDmode)
+ real_convert (r, mode, r);
+}
+
+/* Round X to the smallest integer not less then argument, i.e. round
+ up, placing the result in R in mode MODE. */
+
+void
+real_ceil (REAL_VALUE_TYPE *r, enum machine_mode mode,
+ const REAL_VALUE_TYPE *x)
+{
+ do_fix_trunc (r, x);
+ if (! real_identical (r, x) && ! r->sign)
+ do_add (r, r, &dconst1, 0);
+ if (mode != VOIDmode)
+ real_convert (r, mode, r);
+}
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