summaryrefslogtreecommitdiff
path: root/sysdeps/ieee754
diff options
context:
space:
mode:
Diffstat (limited to 'sysdeps/ieee754')
-rw-r--r--sysdeps/ieee754/dbl-64/e_pow.c22
-rw-r--r--sysdeps/ieee754/flt-32/s_nextafterf.c20
-rw-r--r--sysdeps/ieee754/ldbl-128/s_nextafterl.c18
-rw-r--r--sysdeps/ieee754/ldbl-128/s_nexttoward.c23
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/mpn2ldbl.c75
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/printf_fphex.c35
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/s_fpclassifyl.c37
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c107
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c23
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c26
-rw-r--r--sysdeps/ieee754/ldbl-96/s_nextafterl.c20
-rw-r--r--sysdeps/ieee754/ldbl-96/s_nexttoward.c23
-rw-r--r--sysdeps/ieee754/ldbl-96/s_nexttowardf.c28
-rw-r--r--sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c28
14 files changed, 289 insertions, 196 deletions
diff --git a/sysdeps/ieee754/dbl-64/e_pow.c b/sysdeps/ieee754/dbl-64/e_pow.c
index d9bd8b479f..1e159f2c0b 100644
--- a/sysdeps/ieee754/dbl-64/e_pow.c
+++ b/sysdeps/ieee754/dbl-64/e_pow.c
@@ -106,20 +106,28 @@ double __ieee754_pow(double x, double y) {
else
return y < 0 ? 1.0/ABS(x) : 0.0; /* return 0 */
}
+
+ qx = u.i[HIGH_HALF]&0x7fffffff; /* no sign */
+ qy = v.i[HIGH_HALF]&0x7fffffff; /* no sign */
+
+ if (qx >= 0x7ff00000 && (qx > 0x7ff00000 || u.i[LOW_HALF] != 0)) return NaNQ.x;
+ if (qy >= 0x7ff00000 && (qy > 0x7ff00000 || v.i[LOW_HALF] != 0))
+ return x == 1.0 ? 1.0 : NaNQ.x;
+
/* if x<0 */
if (u.i[HIGH_HALF] < 0) {
k = checkint(y);
if (k==0) {
- if ((v.i[HIGH_HALF] & 0x7fffffff) == 0x7ff00000 && v.i[LOW_HALF] == 0) {
+ if (qy == 0x7ff00000) {
if (x == -1.0) return 1.0;
else if (x > -1.0) return v.i[HIGH_HALF] < 0 ? INF.x : 0.0;
else return v.i[HIGH_HALF] < 0 ? 0.0 : INF.x;
}
- else if (u.i[HIGH_HALF] == 0xfff00000 && u.i[LOW_HALF] == 0)
+ else if (qx == 0x7ff00000)
return y < 0 ? 0.0 : INF.x;
return NaNQ.x; /* y not integer and x<0 */
}
- else if (u.i[HIGH_HALF] == 0xfff00000 && u.i[LOW_HALF] == 0)
+ else if (qx == 0x7ff00000)
{
if (k < 0)
return y < 0 ? nZERO.x : nINF.x;
@@ -129,14 +137,6 @@ double __ieee754_pow(double x, double y) {
return (k==1)?__ieee754_pow(-x,y):-__ieee754_pow(-x,y); /* if y even or odd */
}
/* x>0 */
- qx = u.i[HIGH_HALF]&0x7fffffff; /* no sign */
- qy = v.i[HIGH_HALF]&0x7fffffff; /* no sign */
-
- if (qx > 0x7ff00000 || (qx == 0x7ff00000 && u.i[LOW_HALF] != 0)) return NaNQ.x;
- /* if 0<x<2^-0x7fe */
- if (qy > 0x7ff00000 || (qy == 0x7ff00000 && v.i[LOW_HALF] != 0))
- return x == 1.0 ? 1.0 : NaNQ.x;
- /* if y<2^-0x7fe */
if (qx == 0x7ff00000) /* x= 2^-0x3ff */
{if (y == 0) return NaNQ.x;
diff --git a/sysdeps/ieee754/flt-32/s_nextafterf.c b/sysdeps/ieee754/flt-32/s_nextafterf.c
index e1568e24c9..600c14621f 100644
--- a/sysdeps/ieee754/flt-32/s_nextafterf.c
+++ b/sysdeps/ieee754/flt-32/s_nextafterf.c
@@ -18,7 +18,7 @@ static char rcsid[] = "$NetBSD: s_nextafterf.c,v 1.4 1995/05/10 20:48:01 jtc Exp
#endif
#include "math.h"
-#include "math_private.h"
+#include <math_private.h>
#include <float.h>
#ifdef __STDC__
@@ -40,9 +40,12 @@ static char rcsid[] = "$NetBSD: s_nextafterf.c,v 1.4 1995/05/10 20:48:01 jtc Exp
return x+y;
if(x==y) return y; /* x=y, return y */
if(ix==0) { /* x == 0 */
+ float u;
SET_FLOAT_WORD(x,(hy&0x80000000)|1);/* return +-minsubnormal */
- y = x*x;
- if(y==x) return y; else return x; /* raise underflow flag */
+ u = math_opt_barrier (x);
+ u = u*u;
+ math_force_eval (u); /* raise underflow flag */
+ return x;
}
if(hx>=0) { /* x > 0 */
if(hx>hy) { /* x > y, x -= ulp */
@@ -61,15 +64,12 @@ static char rcsid[] = "$NetBSD: s_nextafterf.c,v 1.4 1995/05/10 20:48:01 jtc Exp
if(hy>=0x7f800000) {
x = x+x; /* overflow */
if (FLT_EVAL_METHOD != 0)
- asm ("" : "=m"(x) : "m"(x));
+ asm ("" : "+m"(x));
return x; /* overflow */
}
- if(hy<0x00800000) { /* underflow */
- y = x*x;
- if(y!=x) { /* raise underflow flag */
- SET_FLOAT_WORD(y,hx);
- return y;
- }
+ if(hy<0x00800000) {
+ float u = x*x; /* underflow */
+ math_force_eval (u); /* raise underflow flag */
}
SET_FLOAT_WORD(x,hx);
return x;
diff --git a/sysdeps/ieee754/ldbl-128/s_nextafterl.c b/sysdeps/ieee754/ldbl-128/s_nextafterl.c
index d3df668178..7bc869a518 100644
--- a/sysdeps/ieee754/ldbl-128/s_nextafterl.c
+++ b/sysdeps/ieee754/ldbl-128/s_nextafterl.c
@@ -25,7 +25,7 @@ static char rcsid[] = "$NetBSD: $";
*/
#include "math.h"
-#include "math_private.h"
+#include <math_private.h>
#ifdef __STDC__
long double __nextafterl(long double x, long double y)
@@ -47,9 +47,12 @@ static char rcsid[] = "$NetBSD: $";
return x+y;
if(x==y) return y; /* x=y, return y */
if((ix|lx)==0) { /* x == 0 */
+ long double u;
SET_LDOUBLE_WORDS64(x,hy&0x8000000000000000ULL,1);/* return +-minsubnormal */
- y = x*x;
- if(y==x) return y; else return x; /* raise underflow flag */
+ u = math_opt_barrier (x);
+ u = u * u;
+ math_force_eval (u); /* raise underflow flag */
+ return x;
}
if(hx>=0) { /* x > 0 */
if(hx>hy||((hx==hy)&&(lx>ly))) { /* x > y, x -= ulp */
@@ -70,12 +73,9 @@ static char rcsid[] = "$NetBSD: $";
}
hy = hx&0x7fff000000000000LL;
if(hy==0x7fff000000000000LL) return x+x;/* overflow */
- if(hy==0) { /* underflow */
- y = x*x;
- if(y!=x) { /* raise underflow flag */
- SET_LDOUBLE_WORDS64(y,hx,lx);
- return y;
- }
+ if(hy==0) {
+ long double u = x*x; /* underflow */
+ math_force_eval (u); /* raise underflow flag */
}
SET_LDOUBLE_WORDS64(x,hx,lx);
return x;
diff --git a/sysdeps/ieee754/ldbl-128/s_nexttoward.c b/sysdeps/ieee754/ldbl-128/s_nexttoward.c
index 553e401973..178505c58f 100644
--- a/sysdeps/ieee754/ldbl-128/s_nexttoward.c
+++ b/sysdeps/ieee754/ldbl-128/s_nexttoward.c
@@ -26,7 +26,7 @@ static char rcsid[] = "$NetBSD: $";
*/
#include "math.h"
-#include "math_private.h"
+#include <math_private.h>
#include <float.h>
#ifdef __STDC__
@@ -53,10 +53,12 @@ static char rcsid[] = "$NetBSD: $";
return x+y;
if((long double) x==y) return y; /* x=y, return y */
if((ix|lx)==0) { /* x == 0 */
- double x2;
+ double u;
INSERT_WORDS(x,(u_int32_t)((hy>>32)&0x80000000),1);/* return +-minsub */
- x2 = x*x;
- if(x2==x) return x2; else return x; /* raise underflow flag */
+ u = math_opt_barrier (x);
+ u = u * u;
+ math_force_eval (u); /* raise underflow flag */
+ return x;
}
if(hx>=0) { /* x > 0 */
if (hy<0||(ix>>20)>(iy>>48)-0x3c00
@@ -87,16 +89,13 @@ static char rcsid[] = "$NetBSD: $";
if(hy>=0x7ff00000) {
x = x+x; /* overflow */
if (FLT_EVAL_METHOD != 0 && FLT_EVAL_METHOD != 1)
- /* Force conversion to float. */
- asm ("" : "=m"(x) : "m"(x));
+ /* Force conversion to double. */
+ asm ("" : "+m"(x));
return x;
}
- if(hy<0x00100000) { /* underflow */
- double x2 = x*x;
- if(x2!=x) { /* raise underflow flag */
- INSERT_WORDS(x2,hx,lx);
- return x2;
- }
+ if(hy<0x00100000) {
+ double u = x*x; /* underflow */
+ math_force_eval (u); /* raise underflow flag */
}
INSERT_WORDS(x,hx,lx);
return x;
diff --git a/sysdeps/ieee754/ldbl-128ibm/mpn2ldbl.c b/sysdeps/ieee754/ldbl-128ibm/mpn2ldbl.c
index 8a2d45e2d8..21d1e62dab 100644
--- a/sysdeps/ieee754/ldbl-128ibm/mpn2ldbl.c
+++ b/sysdeps/ieee754/ldbl-128ibm/mpn2ldbl.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 1995, 1996, 1997, 1998, 1999, 2002, 2003, 2004, 2006
+/* Copyright (C) 1995, 1996, 1997, 1998, 1999, 2002, 2003, 2004, 2006, 2007
Free Software Foundation, Inc.
This file is part of the GNU C Library.
@@ -31,19 +31,20 @@ long double
__mpn_construct_long_double (mp_srcptr frac_ptr, int expt, int sign)
{
union ibm_extended_long_double u;
- unsigned long hidden2, lzcount;
+ unsigned long lzcount;
unsigned long long hi, lo;
+ int exponent2;
u.ieee.negative = sign;
u.ieee.negative2 = sign;
u.ieee.exponent = expt + IBM_EXTENDED_LONG_DOUBLE_BIAS;
- u.ieee.exponent2 = expt - 53 + IBM_EXTENDED_LONG_DOUBLE_BIAS;
+ u.ieee.exponent2 = 0;
+ exponent2 = expt - 53 + IBM_EXTENDED_LONG_DOUBLE_BIAS;
#if BITS_PER_MP_LIMB == 32
/* The low order 53 bits (52 + hidden) go into the lower double */
lo = frac_ptr[0];
lo |= (frac_ptr[1] & ((1LL << (53 - 32)) - 1)) << 32;
- hidden2 = (frac_ptr[1] >> (52 - 32)) & ((mp_limb_t) 1);
/* The high order 53 bits (52 + hidden) go into the upper double */
hi = (frac_ptr[1] >> (53 - 32)) & ((1 << 11) - 1);
hi |= ((unsigned long long) frac_ptr[2]) << 11;
@@ -51,7 +52,6 @@ __mpn_construct_long_double (mp_srcptr frac_ptr, int expt, int sign)
#elif BITS_PER_MP_LIMB == 64
/* The low order 53 bits (52 + hidden) go into the lower double */
lo = frac_ptr[0] & (((mp_limb_t) 1 << 53) - 1);
- hidden2 = (frac_ptr[0] >> 52) & ((mp_limb_t) 1);
/* The high order 53 bits (52 + hidden) go into the upper double */
hi = (frac_ptr[0] >> 53) & (((mp_limb_t) 1 << 11) - 1);
hi |= (frac_ptr[1] << 11);
@@ -59,14 +59,62 @@ __mpn_construct_long_double (mp_srcptr frac_ptr, int expt, int sign)
#error "mp_limb size " BITS_PER_MP_LIMB "not accounted for"
#endif
+ if ((hi & (1LL << 52)) == 0 && (hi | lo) != 0)
+ {
+ /* denormal number */
+ unsigned long long val = hi ? hi : lo;
+
+ if (sizeof (val) == sizeof (long))
+ lzcount = __builtin_clzl (val);
+ else if ((val >> 32) != 0)
+ lzcount = __builtin_clzl ((long) (val >> 32));
+ else
+ lzcount = __builtin_clzl ((long) val) + 32;
+ if (hi)
+ lzcount = lzcount - 11;
+ else
+ lzcount = lzcount + 42;
+
+ if (lzcount > u.ieee.exponent)
+ {
+ lzcount = u.ieee.exponent;
+ u.ieee.exponent = 0;
+ exponent2 -= lzcount;
+ }
+ else
+ {
+ u.ieee.exponent -= (lzcount - 1);
+ exponent2 -= (lzcount - 1);
+ }
+
+ if (lzcount <= 53)
+ {
+ hi = (hi << lzcount) | (lo >> (53 - lzcount));
+ lo = (lo << lzcount) & ((1LL << 53) - 1);
+ }
+ else
+ {
+ hi = lo << (lzcount - 53);
+ lo = 0;
+ }
+ }
+
if (lo != 0L)
{
/* hidden2 bit of low double controls rounding of the high double.
- If hidden2 is '1' then round up hi and adjust lo (2nd mantissa)
+ If hidden2 is '1' and either the explicit mantissa is non-zero
+ or hi is odd, then round up hi and adjust lo (2nd mantissa)
plus change the sign of the low double to compensate. */
- if (hidden2)
+ if ((lo & (1LL << 52)) != 0
+ && ((hi & 1) != 0 || (lo & ((1LL << 52) - 1))))
{
hi++;
+ if ((hi & ((1LL << 52) - 1)) == 0)
+ {
+ if ((hi & (1LL << 53)) != 0)
+ hi -= 1LL << 52;
+ u.ieee.exponent++;
+ }
u.ieee.negative2 = !sign;
lo = (1LL << 53) - lo;
}
@@ -85,17 +133,18 @@ __mpn_construct_long_double (mp_srcptr frac_ptr, int expt, int sign)
if (lzcount > 0)
{
lo = lo << lzcount;
- u.ieee.exponent2 = u.ieee.exponent2 - lzcount;
+ exponent2 = exponent2 - lzcount;
}
+ if (exponent2 > 0)
+ u.ieee.exponent2 = exponent2;
+ else
+ lo >>= 1 - exponent2;
}
else
- {
- u.ieee.negative2 = 0;
- u.ieee.exponent2 = 0;
- }
+ u.ieee.negative2 = 0;
u.ieee.mantissa3 = lo & 0xffffffffLL;
- u.ieee.mantissa2 = (lo >> 32) & 0xffffff;
+ u.ieee.mantissa2 = (lo >> 32) & 0xfffff;
u.ieee.mantissa1 = hi & 0xffffffffLL;
u.ieee.mantissa0 = (hi >> 32) & ((1LL << (LDBL_MANT_DIG - 86)) - 1);
diff --git a/sysdeps/ieee754/ldbl-128ibm/printf_fphex.c b/sysdeps/ieee754/ldbl-128ibm/printf_fphex.c
index 2a7b70fabf..b2ad25e31f 100644
--- a/sysdeps/ieee754/ldbl-128ibm/printf_fphex.c
+++ b/sysdeps/ieee754/ldbl-128ibm/printf_fphex.c
@@ -1,5 +1,5 @@
/* Print floating point number in hexadecimal notation according to ISO C99.
- Copyright (C) 1997,1998,1999,2000,2001,2002,2004,2006
+ Copyright (C) 1997,1998,1999,2000,2001,2002,2004,2006,2007
Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
@@ -35,21 +35,24 @@ do { \
\
lo = ((long long)eldbl.ieee.mantissa2 << 32) | eldbl.ieee.mantissa3; \
hi = ((long long)eldbl.ieee.mantissa0 << 32) | eldbl.ieee.mantissa1; \
- /* If the lower double is not a denomal or zero then set the hidden \
- 53rd bit. */ \
- if (eldbl.ieee.exponent2 > 0x001) \
- { \
- lo |= (1ULL << 52); \
- lo = lo << 7; /* pre-shift lo to match ieee854. */ \
- /* The lower double is normalized separately from the upper. We \
- may need to adjust the lower manitissa to reflect this. */ \
- ediff = eldbl.ieee.exponent - eldbl.ieee.exponent2; \
- if (ediff > 53) \
- lo = lo >> (ediff-53); \
- } \
- \
- if ((eldbl.ieee.negative != eldbl.ieee.negative2) \
- && ((eldbl.ieee.exponent2 != 0) && (lo != 0L))) \
+ lo <<= 7; /* pre-shift lo to match ieee854. */ \
+ /* If the lower double is not a denomal or zero then set the hidden \
+ 53rd bit. */ \
+ if (eldbl.ieee.exponent2 != 0) \
+ lo |= (1ULL << (52 + 7)); \
+ else \
+ lo <<= 1; \
+ /* The lower double is normalized separately from the upper. We \
+ may need to adjust the lower manitissa to reflect this. */ \
+ ediff = eldbl.ieee.exponent - eldbl.ieee.exponent2; \
+ if (ediff > 53 + 63) \
+ lo = 0; \
+ else if (ediff > 53) \
+ lo = lo >> (ediff - 53); \
+ else if (eldbl.ieee.exponent2 == 0 && ediff < 53) \
+ lo = lo << (53 - ediff); \
+ if (eldbl.ieee.negative != eldbl.ieee.negative2 \
+ && (eldbl.ieee.exponent2 != 0 || lo != 0L)) \
{ \
lo = (1ULL << 60) - lo; \
if (hi == 0L) \
diff --git a/sysdeps/ieee754/ldbl-128ibm/s_fpclassifyl.c b/sysdeps/ieee754/ldbl-128ibm/s_fpclassifyl.c
index 3ca178a3c5..6999abc250 100644
--- a/sysdeps/ieee754/ldbl-128ibm/s_fpclassifyl.c
+++ b/sysdeps/ieee754/ldbl-128ibm/s_fpclassifyl.c
@@ -1,5 +1,5 @@
/* Return classification value corresponding to argument.
- Copyright (C) 1997,1999,2002,2004,2006 Free Software Foundation, Inc.
+ Copyright (C) 1997,1999,2002,2004,2006,2007 Free Software Foundation, Inc.
This file is part of the GNU C Library.
Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
Jakub Jelinek <jj@ultra.linux.cz>, 1999.
@@ -30,14 +30,16 @@
* -NaN fffn nnnn nnnn nnnn xxxx xxxx xxxx xxxx
* +Inf 7ff0 0000 0000 0000 xxxx xxxx xxxx xxxx
* -Inf fff0 0000 0000 0000 xxxx xxxx xxxx xxxx
- * +0 0000 0000 0000 0000
- * -0 8000 0000 0000 0000
- * +normal 001n nnnn nnnn nnnn (smallest)
- * -normal 801n nnnn nnnn nnnn (smallest)
- * +normal 7fen nnnn nnnn nnnn (largest)
- * -normal ffen nnnn nnnn nnnn (largest)
- * +denorm 000n nnnn nnnn nnnn
- * -denorm 800n nnnn nnnn nnnn
+ * +0 0000 0000 0000 0000 xxxx xxxx xxxx xxxx
+ * -0 8000 0000 0000 0000 xxxx xxxx xxxx xxxx
+ * +normal 0360 0000 0000 0000 0000 0000 0000 0000 (smallest)
+ * -normal 8360 0000 0000 0000 0000 0000 0000 0000 (smallest)
+ * +normal 7fef ffff ffff ffff 7c8f ffff ffff fffe (largest)
+ * +normal ffef ffff ffff ffff fc8f ffff ffff fffe (largest)
+ * +denorm 0360 0000 0000 0000 8000 0000 0000 0001 (largest)
+ * -denorm 8360 0000 0000 0000 0000 0000 0000 0001 (largest)
+ * +denorm 000n nnnn nnnn nnnn xxxx xxxx xxxx xxxx
+ * -denorm 800n nnnn nnnn nnnn xxxx xxxx xxxx xxxx
*/
int
@@ -59,12 +61,23 @@ ___fpclassifyl (long double x)
/* +/-zero or +/- normal or +/- denormal */
if (hx & 0x7fffffffffffffffULL) {
/* +/- normal or +/- denormal */
- if ((hx & 0x7ff0000000000000ULL) >= 0x0360000000000000ULL) {
+ if ((hx & 0x7ff0000000000000ULL) > 0x0360000000000000ULL) {
/* +/- normal */
retval = FP_NORMAL;
} else {
- /* +/- denormal */
- retval = FP_SUBNORMAL;
+ if ((hx & 0x7ff0000000000000ULL) == 0x0360000000000000ULL) {
+ if ((lx & 0x7fffffffffffffff) /* lower is non-zero */
+ && ((lx^hx) & 0x8000000000000000ULL)) { /* and sign differs */
+ /* +/- denormal */
+ retval = FP_SUBNORMAL;
+ } else {
+ /* +/- normal */
+ retval = FP_NORMAL;
+ }
+ } else {
+ /* +/- denormal */
+ retval = FP_SUBNORMAL;
+ }
}
} else {
/* +/- zero */
diff --git a/sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c b/sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c
index e35ce50829..39d0e6a5e3 100644
--- a/sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c
+++ b/sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c
@@ -24,8 +24,8 @@ static char rcsid[] = "$NetBSD: $";
* Special cases:
*/
-#include "math.h"
-#include "math_private.h"
+#include <math.h>
+#include <math_private.h>
#include <math_ldbl_opt.h>
#ifdef __STDC__
@@ -35,7 +35,7 @@ static char rcsid[] = "$NetBSD: $";
long double x,y;
#endif
{
- int64_t hx,hy,ihx,ihy,ilx,ily;
+ int64_t hx,hy,ihx,ihy,ilx;
u_int64_t lx,ly;
GET_LDOUBLE_WORDS64(hx,lx,x);
@@ -43,7 +43,6 @@ static char rcsid[] = "$NetBSD: $";
ihx = hx&0x7fffffffffffffffLL; /* |hx| */
ilx = lx&0x7fffffffffffffffLL; /* |lx| */
ihy = hy&0x7fffffffffffffffLL; /* |hy| */
- ily = ly&0x7fffffffffffffffLL; /* |ly| */
if((((ihx&0x7ff0000000000000LL)==0x7ff0000000000000LL)&&
((ihx&0x000fffffffffffffLL)!=0)) || /* x is nan */
@@ -53,55 +52,67 @@ static char rcsid[] = "$NetBSD: $";
if(x==y)
return y; /* x=y, return y */
if(ihx == 0 && ilx == 0) { /* x == 0 */
- SET_LDOUBLE_WORDS64(x,hy&0x8000000000000000ULL,1);/* return +-minsubnormal */
- y = x*x;
- if(y==x) return y; else return x; /* raise underflow flag */
+ long double u;
+ hy = (hy & 0x8000000000000000ULL) | 1;
+ SET_LDOUBLE_WORDS64(x,hy,0ULL);/* return +-minsubnormal */
+ u = math_opt_barrier (x);
+ u = u * u;
+ math_force_eval (u); /* raise underflow flag */
+ return x;
}
- if(ihx>=0) { /* x > 0 */
- if(ihx>ihy||((ihx==ihy)&&(ilx>ily))) { /* x > y, x -= ulp */
-
- if(ilx==0)
- hx--;
- else
- lx--;
- } else { /* x < y, x += ulp */
- if((hx==0x7fefffffffffffffLL)&&(lx==0x7c8ffffffffffffeLL))
- {
- SET_LDOUBLE_WORDS64(x,0x7ff0000000000000,0x8000000000000000);
- return x;
- }
- else if((hx==0xffefffffffffffffLL)&&(lx==0xfc8ffffffffffffeLL))
- {
- SET_LDOUBLE_WORDS64(x,0xfff0000000000000,0x8000000000000000);
- return x;
- }
- else if((lx&0x7fffffffffffffff)==0) hx++;
- else
- lx++;
+
+ long double u;
+ if(x > y) { /* x > y, x -= ulp */
+ if((hx==0xffefffffffffffffLL)&&(lx==0xfc8ffffffffffffeLL))
+ return x+x; /* overflow, return -inf */
+ if (hx >= 0x7ff0000000000000LL) {
+ SET_LDOUBLE_WORDS64(u,0x7fefffffffffffffLL,0x7c8ffffffffffffeLL);
+ return u;
}
- } else { /* x < 0 */
- if(ihy>=0||ihx>ihy||((ihx==ihy)&&(ilx>ily))){/* x < y, x -= ulp */
- if((lx&0x7fffffffffffffff)==0)
- hx--;
- else
- lx--;
- } else { /* x > y, x += ulp */
- if((lx&0x7fffffffffffffff)==0) hx++;
- else
- lx++;
+ if(ihx <= 0x0360000000000000LL) { /* x <= LDBL_MIN */
+ u = math_opt_barrier (x);
+ x -= __LDBL_DENORM_MIN__;
+ if (ihx < 0x0360000000000000LL
+ || (hx > 0 && (int64_t) lx <= 0)
+ || (hx < 0 && (int64_t) lx > 1)) {
+ u = u * u;
+ math_force_eval (u); /* raise underflow flag */
+ }
+ return x;
}
- }
- hy = hx&0x7ff0000000000000LL;
- if(hy==0x7ff0000000000000LL) return x+x;/* overflow */
- if(hy==0) { /* underflow */
- y = x*x;
- if(y!=x) { /* raise underflow flag */
- SET_LDOUBLE_WORDS64(y,hx,lx);
- return y;
+ if (ihx < 0x06a0000000000000LL) { /* ulp will denormal */
+ SET_LDOUBLE_WORDS64(u,(hx&0x7ff0000000000000LL),0ULL);
+ u *= 0x1.0000000000000p-105L;
+ } else
+ SET_LDOUBLE_WORDS64(u,(hx&0x7ff0000000000000LL)-0x0690000000000000LL,0ULL);
+ return x - u;
+ } else { /* x < y, x += ulp */
+ if((hx==0x7fefffffffffffffLL)&&(lx==0x7c8ffffffffffffeLL))
+ return x+x; /* overflow, return +inf */
+ if ((u_int64_t) hx >= 0xfff0000000000000ULL) {
+ SET_LDOUBLE_WORDS64(u,0xffefffffffffffffLL,0xfc8ffffffffffffeLL);
+ return u;
+ }
+ if(ihx <= 0x0360000000000000LL) { /* x <= LDBL_MIN */
+ u = math_opt_barrier (x);
+ x += __LDBL_DENORM_MIN__;
+ if (ihx < 0x0360000000000000LL
+ || (hx > 0 && (int64_t) lx < 0 && lx != 0x8000000000000001LL)
+ || (hx < 0 && (int64_t) lx >= 0)) {
+ u = u * u;
+ math_force_eval (u); /* raise underflow flag */
+ }
+ if (x == 0.0L) /* handle negative __LDBL_DENORM_MIN__ case */
+ x = -0.0L;
+ return x;
}
+ if (ihx < 0x06a0000000000000LL) { /* ulp will denormal */
+ SET_LDOUBLE_WORDS64(u,(hx&0x7ff0000000000000LL),0ULL);
+ u *= 0x1.0000000000000p-105L;
+ } else
+ SET_LDOUBLE_WORDS64(u,(hx&0x7ff0000000000000LL)-0x0690000000000000LL,0ULL);
+ return x + u;
}
- SET_LDOUBLE_WORDS64(x,hx,lx);
- return x;
}
strong_alias (__nextafterl, __nexttowardl)
long_double_symbol (libm, __nextafterl, nextafterl);
diff --git a/sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c b/sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c
index 3335100592..e2f6521f57 100644
--- a/sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c
+++ b/sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c
@@ -26,7 +26,7 @@ static char rcsid[] = "$NetBSD: $";
*/
#include "math.h"
-#include "math_private.h"
+#include <math_private.h>
#include <math_ldbl_opt.h>
#include <float.h>
@@ -55,10 +55,12 @@ static char rcsid[] = "$NetBSD: $";
return x+y;
if((long double) x==y) return y; /* x=y, return y */
if((ix|lx)==0) { /* x == 0 */
- double x2;
+ double u;
INSERT_WORDS(x,(u_int32_t)((hy>>32)&0x80000000),1);/* return +-minsub */
- x2 = x*x;
- if(x2==x) return x2; else return x; /* raise underflow flag */
+ u = math_opt_barrier (x);
+ u = u * u;
+ math_force_eval (u); /* raise underflow flag */
+ return x;
}
if(hx>=0) { /* x > 0 */
if (hy<0||(ix>>20)>(iy>>52)
@@ -89,16 +91,13 @@ static char rcsid[] = "$NetBSD: $";
if(hy>=0x7ff00000) {
x = x+x; /* overflow */
if (FLT_EVAL_METHOD != 0 && FLT_EVAL_METHOD != 1)
- /* Force conversion to float. */
- asm ("" : "=m"(x) : "m"(x));
+ /* Force conversion to double. */
+ asm ("" : "+m"(x));
return x;
}
- if(hy<0x00100000) { /* underflow */
- double x2 = x*x;
- if(x2!=x) { /* raise underflow flag */
- INSERT_WORDS(x2,hx,lx);
- return x2;
- }
+ if(hy<0x00100000) {
+ double u = x*x; /* underflow */
+ math_force_eval (u); /* raise underflow flag */
}
INSERT_WORDS(x,hx,lx);
return x;
diff --git a/sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c b/sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c
index a9373ff822..cf655fad16 100644
--- a/sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c
+++ b/sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c
@@ -19,8 +19,9 @@ static char rcsid[] = "$NetBSD: $";
#endif
#include "math.h"
-#include "math_private.h"
+#include <math_private.h>
#include <math_ldbl_opt.h>
+#include <float.h>
#ifdef __STDC__
float __nexttowardf(float x, long double y)
@@ -46,10 +47,12 @@ static char rcsid[] = "$NetBSD: $";
return x+y;
if((long double) x==y) return y; /* x=y, return y */
if(ix==0) { /* x == 0 */
- float x2;
+ float u;
SET_FLOAT_WORD(x,(u_int32_t)((hy>>32)&0x80000000)|1);/* return +-minsub*/
- x2 = x*x;
- if(x2==x) return x2; else return x; /* raise underflow flag */
+ u = math_opt_barrier (x);
+ u = u * u;
+ math_force_eval (u); /* raise underflow flag */
+ return x;
}
if(hx>=0) { /* x > 0 */
if(hy<0||(ix>>23)>(iy>>52)-0x380
@@ -69,13 +72,16 @@ static char rcsid[] = "$NetBSD: $";
}
}
hy = hx&0x7f800000;
- if(hy>=0x7f800000) return x+x; /* overflow */
+ if(hy>=0x7f800000) {
+ x = x+x; /* overflow */
+ if (FLT_EVAL_METHOD != 0)
+ /* Force conversion to float. */
+ asm ("" : "+m"(x));
+ return x;
+ }
if(hy<0x00800000) { /* underflow */
- float x2 = x*x;
- if(x2!=x) { /* raise underflow flag */
- SET_FLOAT_WORD(x2,hx);
- return x2;
- }
+ float u = x*x;
+ math_force_eval (u); /* raise underflow flag */
}
SET_FLOAT_WORD(x,hx);
return x;
diff --git a/sysdeps/ieee754/ldbl-96/s_nextafterl.c b/sysdeps/ieee754/ldbl-96/s_nextafterl.c
index 1798261b28..ed0877d6dd 100644
--- a/sysdeps/ieee754/ldbl-96/s_nextafterl.c
+++ b/sysdeps/ieee754/ldbl-96/s_nextafterl.c
@@ -26,7 +26,7 @@ static char rcsid[] = "$NetBSD: $";
*/
#include "math.h"
-#include "math_private.h"
+#include <math_private.h>
#ifdef __STDC__
long double __nextafterl(long double x, long double y)
@@ -48,9 +48,12 @@ static char rcsid[] = "$NetBSD: $";
return x+y;
if(x==y) return y; /* x=y, return y */
if((ix|hx|lx)==0) { /* x == 0 */
+ long double u;
SET_LDOUBLE_WORDS(x,esy&0x8000,0,1);/* return +-minsubnormal */
- y = x*x;
- if(y==x) return y; else return x; /* raise underflow flag */
+ u = math_opt_barrier (x);
+ u = u * u;
+ math_force_eval (u); /* raise underflow flag */
+ return x;
}
if(esx<0x8000) { /* x > 0 */
if(ix>iy||((ix==iy) && (hx>hy||((hx==hy)&&(lx>ly))))) {
@@ -85,13 +88,10 @@ static char rcsid[] = "$NetBSD: $";
}
}
esy = esx&0x7fff;
- if(esy==0x7fff) return x+x; /* overflow */
- if(esy==0) { /* underflow */
- y = x*x;
- if(y!=x) { /* raise underflow flag */
- SET_LDOUBLE_WORDS(y,esx,hx,lx);
- return y;
- }
+ if(esy==0x7fff) return x+x; /* overflow */
+ if(esy==0) {
+ long double u = x*x; /* underflow */
+ math_force_eval (u); /* raise underflow flag */
}
SET_LDOUBLE_WORDS(x,esx,hx,lx);
return x;
diff --git a/sysdeps/ieee754/ldbl-96/s_nexttoward.c b/sysdeps/ieee754/ldbl-96/s_nexttoward.c
index 7945cb5cb1..e30438482c 100644
--- a/sysdeps/ieee754/ldbl-96/s_nexttoward.c
+++ b/sysdeps/ieee754/ldbl-96/s_nexttoward.c
@@ -26,7 +26,7 @@ static char rcsid[] = "$NetBSD: $";
*/
#include "math.h"
-#include "math_private.h"
+#include <math_private.h>
#include <float.h>
#ifdef __STDC__
@@ -50,10 +50,12 @@ static char rcsid[] = "$NetBSD: $";
return x+y;
if((long double) x==y) return y; /* x=y, return y */
if((ix|lx)==0) { /* x == 0 */
- double x2;
+ double u;
INSERT_WORDS(x,(esy&0x8000)<<16,1); /* return +-minsub */
- x2 = x*x;
- if(x2==x) return x2; else return x; /* raise underflow flag */
+ u = math_opt_barrier (x);
+ u = u * u;
+ math_force_eval (u); /* raise underflow flag */
+ return x;
}
if(hx>=0) { /* x > 0 */
if (esy>=0x8000||((ix>>20)&0x7ff)>iy-0x3c00
@@ -84,16 +86,13 @@ static char rcsid[] = "$NetBSD: $";
if(hy>=0x7ff00000) {
x = x+x; /* overflow */
if (FLT_EVAL_METHOD != 0 && FLT_EVAL_METHOD != 1)
- /* Force conversion to float. */
- asm ("" : "=m"(x) : "m"(x));
+ /* Force conversion to double. */
+ asm ("" : "+m"(x));
return x;
}
- if(hy<0x00100000) { /* underflow */
- double x2 = x*x;
- if(x2!=x) { /* raise underflow flag */
- INSERT_WORDS(x2,hx,lx);
- return x2;
- }
+ if(hy<0x00100000) {
+ double u = x*x; /* underflow */
+ math_force_eval (u); /* raise underflow flag */
}
INSERT_WORDS(x,hx,lx);
return x;
diff --git a/sysdeps/ieee754/ldbl-96/s_nexttowardf.c b/sysdeps/ieee754/ldbl-96/s_nexttowardf.c
index a1c38b5d4c..6357975ffc 100644
--- a/sysdeps/ieee754/ldbl-96/s_nexttowardf.c
+++ b/sysdeps/ieee754/ldbl-96/s_nexttowardf.c
@@ -18,7 +18,8 @@ static char rcsid[] = "$NetBSD: $";
#endif
#include "math.h"
-#include "math_private.h"
+#include <math_private.h>
+#include <float.h>
#ifdef __STDC__
float __nexttowardf(float x, long double y)
@@ -41,10 +42,12 @@ static char rcsid[] = "$NetBSD: $";
return x+y;
if((long double) x==y) return y; /* x=y, return y */
if(ix==0) { /* x == 0 */
- float x2;
+ float u;
SET_FLOAT_WORD(x,((esy&0x8000)<<16)|1);/* return +-minsub*/
- x2 = x*x;
- if(x2==x) return x2; else return x; /* raise underflow flag */
+ u = math_opt_barrier (x);
+ u = u * u;
+ math_force_eval (u); /* raise underflow flag */
+ return x;
}
if(hx>=0) { /* x > 0 */
if(esy>=0x8000||((ix>>23)&0xff)>iy-0x3f80
@@ -64,13 +67,16 @@ static char rcsid[] = "$NetBSD: $";
}
}
hy = hx&0x7f800000;
- if(hy>=0x7f800000) return x+x; /* overflow */
- if(hy<0x00800000) { /* underflow */
- float x2 = x*x;
- if(x2!=x) { /* raise underflow flag */
- SET_FLOAT_WORD(x2,hx);
- return x2;
- }
+ if(hy>=0x7f800000) {
+ x = x+x; /* overflow */
+ if (FLT_EVAL_METHOD != 0)
+ /* Force conversion to float. */
+ asm ("" : "+m"(x));
+ return x;
+ }
+ if(hy<0x00800000) {
+ float u = x*x; /* underflow */
+ math_force_eval (u); /* raise underflow flag */
}
SET_FLOAT_WORD(x,hx);
return x;
diff --git a/sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c b/sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c
index d52526f719..68027f26fa 100644
--- a/sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c
+++ b/sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c
@@ -20,7 +20,10 @@
* Special cases:
*/
+#include <math.h>
+#include <math_private.h>
#include <math_ldbl_opt.h>
+#include <float.h>
float __nldbl_nexttowardf(float x, double y);
@@ -39,10 +42,12 @@ float __nldbl_nexttowardf(float x, double y)
return x+y;
if((double) x==y) return y; /* x=y, return y */
if(ix==0) { /* x == 0 */
- float x2;
+ float u;
SET_FLOAT_WORD(x,(u_int32_t)(hy&0x80000000)|1);/* return +-minsub*/
- x2 = x*x;
- if(x2==x) return x2; else return x; /* raise underflow flag */
+ u = math_opt_barrier (x);
+ u = u * u;
+ math_force_eval (u); /* raise underflow flag */
+ return x;
}
if(hx>=0) { /* x > 0 */
if(hy<0||(ix>>23)>(iy>>20)-0x380
@@ -60,13 +65,16 @@ float __nldbl_nexttowardf(float x, double y)
hx += 1;
}
hy = hx&0x7f800000;
- if(hy>=0x7f800000) return x+x; /* overflow */
- if(hy<0x00800000) { /* underflow */
- float x2 = x*x;
- if(x2!=x) { /* raise underflow flag */
- SET_FLOAT_WORD(x2,hx);
- return x2;
- }
+ if(hy>=0x7f800000) {
+ x = x+x; /* overflow */
+ if (FLT_EVAL_METHOD != 0)
+ /* Force conversion to float. */
+ asm ("" : "+m"(x));
+ return x;
+ }
+ if(hy<0x00800000) {
+ float u = x*x; /* underflow */
+ math_force_eval (u); /* raise underflow flag */
}
SET_FLOAT_WORD(x,hx);
return x;
View Lorry Controller Status