Use math_narrow_eval more consistently.

Where glibc code needs to avoid excess range and precision in
floating-point arithmetic, code variously uses either asms or volatile
to force the results of that arithmetic to memory; mostly this is
conditional on FLT_EVAL_METHOD, but in the case of lrint / llrint
functions some use of volatile is unconditional (and is present
unnecessarily in versions for long double).  This patch make such code
use the recently-added math_narrow_eval macro consistently, removing
the unnecessary uses of volatile in long double lrint / llrint
implementations completely.

Tested for x86_64, x86, mips64 and powerpc.

	* math/s_nexttowardf.c (__nexttowardf): Use math_narrow_eval.
	* stdlib/strtod_l.c: Include <math_private.h>.
	(overflow_value): Use math_narrow_eval.
	(underflow_value): Likewise.
	* sysdeps/i386/fpu/s_nexttoward.c (__nexttoward): Likewise.
	* sysdeps/i386/fpu/s_nexttowardf.c (__nexttowardf): Likewise.
	* sysdeps/ieee754/dbl-64/e_gamma_r.c (gamma_positive): Likewise.
	(__ieee754_gamma_r): Likewise.
	* sysdeps/ieee754/dbl-64/gamma_productf.c (__gamma_productf):
	Likewise.
	* sysdeps/ieee754/dbl-64/k_rem_pio2.c (__kernel_rem_pio2):
	Likewise.
	* sysdeps/ieee754/dbl-64/lgamma_neg.c (__lgamma_neg): Likewise.
	* sysdeps/ieee754/dbl-64/s_erf.c (__erfc): Likewise.
	* sysdeps/ieee754/dbl-64/s_llrint.c (__llrint): Likewise.
	* sysdeps/ieee754/dbl-64/s_lrint.c (__lrint): Likewise.
	* sysdeps/ieee754/flt-32/e_gammaf_r.c (gammaf_positive): Likewise.
	(__ieee754_gammaf_r): Likewise.
	* sysdeps/ieee754/flt-32/k_rem_pio2f.c (__kernel_rem_pio2f):
	Likewise.
	* sysdeps/ieee754/flt-32/lgamma_negf.c (__lgamma_negf): Likewise.
	* sysdeps/ieee754/flt-32/s_erff.c (__erfcf): Likewise.
	* sysdeps/ieee754/flt-32/s_llrintf.c (__llrintf): Likewise.
	* sysdeps/ieee754/flt-32/s_lrintf.c (__lrintf): Likewise.
	* sysdeps/ieee754/ldbl-128/s_llrintl.c (__llrintl): Do not use
	volatile.
	* sysdeps/ieee754/ldbl-128/s_lrintl.c (__lrintl): Likewise.
	* sysdeps/ieee754/ldbl-128/s_nexttoward.c (__nexttoward): Use
	math_narrow_eval.
	* sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c (__nexttoward):
	Likewise.
	* sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c (__nexttowardf):
	Likewise.
	* sysdeps/ieee754/ldbl-96/gamma_product.c (__gamma_product):
	Likewise.
	* sysdeps/ieee754/ldbl-96/s_llrintl.c (__llrintl): Do not use
	volatile.
	* sysdeps/ieee754/ldbl-96/s_lrintl.c (__lrintl): Likewise.
	* sysdeps/ieee754/ldbl-96/s_nexttoward.c (__nexttoward): Use
	math_narrow_eval.
	* sysdeps/ieee754/ldbl-96/s_nexttowardf.c (__nexttowardf):
	Likewise.
	* sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c (__nldbl_nexttowardf):
	Likewise.
This commit is contained in:
Joseph Myers 2015-09-23 18:14:57 +00:00
parent 5df386a549
commit 54142c44e9
29 changed files with 109 additions and 158 deletions

View File

@ -1,3 +1,50 @@
2015-09-23 Joseph Myers <joseph@codesourcery.com>
* math/s_nexttowardf.c (__nexttowardf): Use math_narrow_eval.
* stdlib/strtod_l.c: Include <math_private.h>.
(overflow_value): Use math_narrow_eval.
(underflow_value): Likewise.
* sysdeps/i386/fpu/s_nexttoward.c (__nexttoward): Likewise.
* sysdeps/i386/fpu/s_nexttowardf.c (__nexttowardf): Likewise.
* sysdeps/ieee754/dbl-64/e_gamma_r.c (gamma_positive): Likewise.
(__ieee754_gamma_r): Likewise.
* sysdeps/ieee754/dbl-64/gamma_productf.c (__gamma_productf):
Likewise.
* sysdeps/ieee754/dbl-64/k_rem_pio2.c (__kernel_rem_pio2):
Likewise.
* sysdeps/ieee754/dbl-64/lgamma_neg.c (__lgamma_neg): Likewise.
* sysdeps/ieee754/dbl-64/s_erf.c (__erfc): Likewise.
* sysdeps/ieee754/dbl-64/s_llrint.c (__llrint): Likewise.
* sysdeps/ieee754/dbl-64/s_lrint.c (__lrint): Likewise.
* sysdeps/ieee754/flt-32/e_gammaf_r.c (gammaf_positive): Likewise.
(__ieee754_gammaf_r): Likewise.
* sysdeps/ieee754/flt-32/k_rem_pio2f.c (__kernel_rem_pio2f):
Likewise.
* sysdeps/ieee754/flt-32/lgamma_negf.c (__lgamma_negf): Likewise.
* sysdeps/ieee754/flt-32/s_erff.c (__erfcf): Likewise.
* sysdeps/ieee754/flt-32/s_llrintf.c (__llrintf): Likewise.
* sysdeps/ieee754/flt-32/s_lrintf.c (__lrintf): Likewise.
* sysdeps/ieee754/ldbl-128/s_llrintl.c (__llrintl): Do not use
volatile.
* sysdeps/ieee754/ldbl-128/s_lrintl.c (__lrintl): Likewise.
* sysdeps/ieee754/ldbl-128/s_nexttoward.c (__nexttoward): Use
math_narrow_eval.
* sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c (__nexttoward):
Likewise.
* sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c (__nexttowardf):
Likewise.
* sysdeps/ieee754/ldbl-96/gamma_product.c (__gamma_product):
Likewise.
* sysdeps/ieee754/ldbl-96/s_llrintl.c (__llrintl): Do not use
volatile.
* sysdeps/ieee754/ldbl-96/s_lrintl.c (__lrintl): Likewise.
* sysdeps/ieee754/ldbl-96/s_nexttoward.c (__nexttoward): Use
math_narrow_eval.
* sysdeps/ieee754/ldbl-96/s_nexttowardf.c (__nexttowardf):
Likewise.
* sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c (__nldbl_nexttowardf):
Likewise.
2015-09-22 H.J. Lu <hongjiu.lu@intel.com> 2015-09-22 H.J. Lu <hongjiu.lu@intel.com>
* nptl/Versions: Remove ignored symbols. * nptl/Versions: Remove ignored symbols.

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@ -59,10 +59,7 @@ float __nexttowardf(float x, long double y)
} }
hy = hx&0x7f800000; hy = hx&0x7f800000;
if(hy>=0x7f800000) { if(hy>=0x7f800000) {
x = x+x; /* overflow */ x = math_narrow_eval (x+x); /* overflow */
if (FLT_EVAL_METHOD != 0)
/* Force conversion to float. */
asm ("" : "+m"(x));
return x; return x;
} }
if(hy<0x00800000) { if(hy<0x00800000) {

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@ -57,6 +57,7 @@ extern unsigned long long int ____strtoull_l_internal (const char *, char **,
#include "../locale/localeinfo.h" #include "../locale/localeinfo.h"
#include <locale.h> #include <locale.h>
#include <math.h> #include <math.h>
#include <math_private.h>
#include <stdlib.h> #include <stdlib.h>
#include <string.h> #include <string.h>
#include <stdint.h> #include <stdint.h>
@ -181,10 +182,8 @@ static FLOAT
overflow_value (int negative) overflow_value (int negative)
{ {
__set_errno (ERANGE); __set_errno (ERANGE);
#if FLT_EVAL_METHOD != 0 FLOAT result = math_narrow_eval ((negative ? -MAX_VALUE : MAX_VALUE)
volatile * MAX_VALUE);
#endif
FLOAT result = (negative ? -MAX_VALUE : MAX_VALUE) * MAX_VALUE;
return result; return result;
} }
@ -195,10 +194,8 @@ static FLOAT
underflow_value (int negative) underflow_value (int negative)
{ {
__set_errno (ERANGE); __set_errno (ERANGE);
#if FLT_EVAL_METHOD != 0 FLOAT result = math_narrow_eval ((negative ? -MIN_VALUE : MIN_VALUE)
volatile * MIN_VALUE);
#endif
FLOAT result = (negative ? -MIN_VALUE : MIN_VALUE) * MIN_VALUE;
return result; return result;
} }

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@ -73,10 +73,7 @@ double __nexttoward(double x, long double y)
} }
hy = hx&0x7ff00000; hy = hx&0x7ff00000;
if(hy>=0x7ff00000) { if(hy>=0x7ff00000) {
x = x+x; /* overflow */ x = math_narrow_eval (x+x); /* overflow */
if (FLT_EVAL_METHOD != 0 && FLT_EVAL_METHOD != 1)
/* Force conversion to double. */
asm ("" : "+m"(x));
return x; return x;
} }
if(hy<0x00100000) { if(hy<0x00100000) {

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@ -61,10 +61,7 @@ float __nexttowardf(float x, long double y)
} }
hy = hx&0x7f800000; hy = hx&0x7f800000;
if(hy>=0x7f800000) { if(hy>=0x7f800000) {
x = x+x; /* overflow */ x = math_narrow_eval (x+x); /* overflow */
if (FLT_EVAL_METHOD != 0)
/* Force conversion to float. */
asm ("" : "+m"(x));
return x; return x;
} }
if(hy<0x00800000) { if(hy<0x00800000) {

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@ -76,11 +76,7 @@ gamma_positive (double x, int *exp2_adj)
/* Adjust into the range for applying Stirling's /* Adjust into the range for applying Stirling's
approximation. */ approximation. */
double n = __ceil (12.0 - x); double n = __ceil (12.0 - x);
#if FLT_EVAL_METHOD != 0 x_adj = math_narrow_eval (x + n);
volatile
#endif
double x_tmp = x + n;
x_adj = x_tmp;
x_eps = (x - (x_adj - n)); x_eps = (x - (x_adj - n));
prod = __gamma_product (x_adj - n, x_eps, n, &eps); prod = __gamma_product (x_adj - n, x_eps, n, &eps);
} }
@ -119,9 +115,6 @@ __ieee754_gamma_r (double x, int *signgamp)
{ {
int32_t hx; int32_t hx;
u_int32_t lx; u_int32_t lx;
#if FLT_EVAL_METHOD != 0
volatile
#endif
double ret; double ret;
EXTRACT_WORDS (hx, lx, x); EXTRACT_WORDS (hx, lx, x);
@ -157,7 +150,7 @@ __ieee754_gamma_r (double x, int *signgamp)
{ {
/* Overflow. */ /* Overflow. */
*signgamp = 0; *signgamp = 0;
ret = DBL_MAX * DBL_MAX; ret = math_narrow_eval (DBL_MAX * DBL_MAX);
return ret; return ret;
} }
else else
@ -201,27 +194,28 @@ __ieee754_gamma_r (double x, int *signgamp)
} }
} }
} }
ret = math_narrow_eval (ret);
} }
if (isinf (ret) && x != 0) if (isinf (ret) && x != 0)
{ {
if (*signgamp < 0) if (*signgamp < 0)
{ {
ret = -__copysign (DBL_MAX, ret) * DBL_MAX; ret = math_narrow_eval (-__copysign (DBL_MAX, ret) * DBL_MAX);
ret = -ret; ret = -ret;
} }
else else
ret = __copysign (DBL_MAX, ret) * DBL_MAX; ret = math_narrow_eval (__copysign (DBL_MAX, ret) * DBL_MAX);
return ret; return ret;
} }
else if (ret == 0) else if (ret == 0)
{ {
if (*signgamp < 0) if (*signgamp < 0)
{ {
ret = -__copysign (DBL_MIN, ret) * DBL_MIN; ret = math_narrow_eval (-__copysign (DBL_MIN, ret) * DBL_MIN);
ret = -ret; ret = -ret;
} }
else else
ret = __copysign (DBL_MIN, ret) * DBL_MIN; ret = math_narrow_eval (__copysign (DBL_MIN, ret) * DBL_MIN);
return ret; return ret;
} }
else else

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@ -36,10 +36,7 @@ __gamma_productf (float x, float x_eps, int n, float *eps)
for (int i = 1; i < n; i++) for (int i = 1; i < n; i++)
ret *= x_full + i; ret *= x_full + i;
#if FLT_EVAL_METHOD != 0 float fret = math_narrow_eval ((float) ret);
volatile
#endif
float fret = ret;
*eps = (ret - fret) / fret; *eps = (ret - fret) / fret;
return fret; return fret;

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@ -315,34 +315,25 @@ recompute:
break; break;
case 1: case 1:
case 2:; case 2:;
#if __FLT_EVAL_METHOD__ != 0
volatile
#endif
double fv = 0.0; double fv = 0.0;
for (i = jz; i >= 0; i--) for (i = jz; i >= 0; i--)
fv += fq[i]; fv = math_narrow_eval (fv + fq[i]);
y[0] = (ih == 0) ? fv : -fv; y[0] = (ih == 0) ? fv : -fv;
fv = fq[0] - fv; fv = math_narrow_eval (fq[0] - fv);
for (i = 1; i <= jz; i++) for (i = 1; i <= jz; i++)
fv += fq[i]; fv = math_narrow_eval (fv + fq[i]);
y[1] = (ih == 0) ? fv : -fv; y[1] = (ih == 0) ? fv : -fv;
break; break;
case 3: /* painful */ case 3: /* painful */
for (i = jz; i > 0; i--) for (i = jz; i > 0; i--)
{ {
#if __FLT_EVAL_METHOD__ != 0 double fv = math_narrow_eval (fq[i - 1] + fq[i]);
volatile
#endif
double fv = (double) (fq[i - 1] + fq[i]);
fq[i] += fq[i - 1] - fv; fq[i] += fq[i - 1] - fv;
fq[i - 1] = fv; fq[i - 1] = fv;
} }
for (i = jz; i > 1; i--) for (i = jz; i > 1; i--)
{ {
#if __FLT_EVAL_METHOD__ != 0 double fv = math_narrow_eval (fq[i - 1] + fq[i]);
volatile
#endif
double fv = (double) (fq[i - 1] + fq[i]);
fq[i] += fq[i - 1] - fv; fq[i] += fq[i - 1] - fv;
fq[i - 1] = fv; fq[i - 1] = fv;
} }

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@ -330,17 +330,9 @@ __lgamma_neg (double x, int *signgamp)
} }
double log_gamma_ratio; double log_gamma_ratio;
#if FLT_EVAL_METHOD != 0 double y0 = math_narrow_eval (1 - x0_hi);
volatile
#endif
double y0_tmp = 1 - x0_hi;
double y0 = y0_tmp;
double y0_eps = -x0_hi + (1 - y0) - x0_lo; double y0_eps = -x0_hi + (1 - y0) - x0_lo;
#if FLT_EVAL_METHOD != 0 double y = math_narrow_eval (1 - x);
volatile
#endif
double y_tmp = 1 - x;
double y = y_tmp;
double y_eps = -x + (1 - y); double y_eps = -x + (1 - y);
/* We now wish to compute LOG_GAMMA_RATIO /* We now wish to compute LOG_GAMMA_RATIO
= log (gamma (Y0 + Y0_EPS) / gamma (Y + Y_EPS)). XDIFF = log (gamma (Y0 + Y0_EPS) / gamma (Y + Y_EPS)). XDIFF
@ -353,19 +345,11 @@ __lgamma_neg (double x, int *signgamp)
{ {
int n_up = (7 - i) / 2; int n_up = (7 - i) / 2;
double ny0, ny0_eps, ny, ny_eps; double ny0, ny0_eps, ny, ny_eps;
#if FLT_EVAL_METHOD != 0 ny0 = math_narrow_eval (y0 + n_up);
volatile
#endif
double y0_tmp = y0 + n_up;
ny0 = y0_tmp;
ny0_eps = y0 - (ny0 - n_up) + y0_eps; ny0_eps = y0 - (ny0 - n_up) + y0_eps;
y0 = ny0; y0 = ny0;
y0_eps = ny0_eps; y0_eps = ny0_eps;
#if FLT_EVAL_METHOD != 0 ny = math_narrow_eval (y + n_up);
volatile
#endif
double y_tmp = y + n_up;
ny = y_tmp;
ny_eps = y - (ny - n_up) + y_eps; ny_eps = y - (ny - n_up) + y_eps;
y = ny; y = ny;
y_eps = ny_eps; y_eps = ny_eps;

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@ -402,10 +402,7 @@ __erfc (double x)
__ieee754_exp ((z - x) * (z + x) + R / S); __ieee754_exp ((z - x) * (z + x) + R / S);
if (hx > 0) if (hx > 0)
{ {
#if FLT_EVAL_METHOD != 0 double ret = math_narrow_eval (r / x);
volatile
#endif
double ret = r / x;
if (ret == 0) if (ret == 0)
__set_errno (ERANGE); __set_errno (ERANGE);
return ret; return ret;

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@ -35,7 +35,7 @@ __llrint (double x)
int32_t j0; int32_t j0;
u_int32_t i1, i0; u_int32_t i1, i0;
long long int result; long long int result;
volatile double w; double w;
double t; double t;
int sx; int sx;
@ -47,7 +47,7 @@ __llrint (double x)
if (j0 < 20) if (j0 < 20)
{ {
w = two52[sx] + x; w = math_narrow_eval (two52[sx] + x);
t = w - two52[sx]; t = w - two52[sx];
EXTRACT_WORDS (i0, i1, t); EXTRACT_WORDS (i0, i1, t);
j0 = ((i0 >> 20) & 0x7ff) - 0x3ff; j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
@ -62,7 +62,7 @@ __llrint (double x)
result = (((long long int) i0 << 32) | i1) << (j0 - 52); result = (((long long int) i0 << 32) | i1) << (j0 - 52);
else else
{ {
w = two52[sx] + x; w = math_narrow_eval (two52[sx] + x);
t = w - two52[sx]; t = w - two52[sx];
EXTRACT_WORDS (i0, i1, t); EXTRACT_WORDS (i0, i1, t);
j0 = ((i0 >> 20) & 0x7ff) - 0x3ff; j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;

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@ -34,7 +34,7 @@ __lrint (double x)
{ {
int32_t j0; int32_t j0;
u_int32_t i0, i1; u_int32_t i0, i1;
volatile double w; double w;
double t; double t;
long int result; long int result;
int sx; int sx;
@ -47,7 +47,7 @@ __lrint (double x)
if (j0 < 20) if (j0 < 20)
{ {
w = two52[sx] + x; w = math_narrow_eval (two52[sx] + x);
t = w - two52[sx]; t = w - two52[sx];
EXTRACT_WORDS (i0, i1, t); EXTRACT_WORDS (i0, i1, t);
j0 = ((i0 >> 20) & 0x7ff) - 0x3ff; j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
@ -62,7 +62,7 @@ __lrint (double x)
result = ((long int) i0 << (j0 - 20)) | (i1 << (j0 - 52)); result = ((long int) i0 << (j0 - 20)) | (i1 << (j0 - 52));
else else
{ {
w = two52[sx] + x; w = math_narrow_eval (two52[sx] + x);
t = w - two52[sx]; t = w - two52[sx];
EXTRACT_WORDS (i0, i1, t); EXTRACT_WORDS (i0, i1, t);
j0 = ((i0 >> 20) & 0x7ff) - 0x3ff; j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;

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@ -69,11 +69,7 @@ gammaf_positive (float x, int *exp2_adj)
/* Adjust into the range for applying Stirling's /* Adjust into the range for applying Stirling's
approximation. */ approximation. */
float n = __ceilf (4.0f - x); float n = __ceilf (4.0f - x);
#if FLT_EVAL_METHOD != 0 x_adj = math_narrow_eval (x + n);
volatile
#endif
float x_tmp = x + n;
x_adj = x_tmp;
x_eps = (x - (x_adj - n)); x_eps = (x - (x_adj - n));
prod = __gamma_productf (x_adj - n, x_eps, n, &eps); prod = __gamma_productf (x_adj - n, x_eps, n, &eps);
} }
@ -111,9 +107,6 @@ float
__ieee754_gammaf_r (float x, int *signgamp) __ieee754_gammaf_r (float x, int *signgamp)
{ {
int32_t hx; int32_t hx;
#if FLT_EVAL_METHOD != 0
volatile
#endif
float ret; float ret;
GET_FLOAT_WORD (hx, x); GET_FLOAT_WORD (hx, x);
@ -149,7 +142,7 @@ __ieee754_gammaf_r (float x, int *signgamp)
{ {
/* Overflow. */ /* Overflow. */
*signgamp = 0; *signgamp = 0;
ret = FLT_MAX * FLT_MAX; ret = math_narrow_eval (FLT_MAX * FLT_MAX);
return ret; return ret;
} }
else else
@ -193,27 +186,28 @@ __ieee754_gammaf_r (float x, int *signgamp)
} }
} }
} }
ret = math_narrow_eval (ret);
} }
if (isinf (ret) && x != 0) if (isinf (ret) && x != 0)
{ {
if (*signgamp < 0) if (*signgamp < 0)
{ {
ret = -__copysignf (FLT_MAX, ret) * FLT_MAX; ret = math_narrow_eval (-__copysignf (FLT_MAX, ret) * FLT_MAX);
ret = -ret; ret = -ret;
} }
else else
ret = __copysignf (FLT_MAX, ret) * FLT_MAX; ret = math_narrow_eval (__copysignf (FLT_MAX, ret) * FLT_MAX);
return ret; return ret;
} }
else if (ret == 0) else if (ret == 0)
{ {
if (*signgamp < 0) if (*signgamp < 0)
{ {
ret = -__copysignf (FLT_MIN, ret) * FLT_MIN; ret = math_narrow_eval (-__copysignf (FLT_MIN, ret) * FLT_MIN);
ret = -ret; ret = -ret;
} }
else else
ret = __copysignf (FLT_MIN, ret) * FLT_MIN; ret = math_narrow_eval (__copysignf (FLT_MIN, ret) * FLT_MIN);
return ret; return ret;
} }
else else

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@ -167,30 +167,21 @@ recompute:
break; break;
case 1: case 1:
case 2:; case 2:;
#if __FLT_EVAL_METHOD__ != 0
volatile
#endif
float fv = 0.0; float fv = 0.0;
for (i=jz;i>=0;i--) fv += fq[i]; for (i=jz;i>=0;i--) fv = math_narrow_eval (fv + fq[i]);
y[0] = (ih==0)? fv: -fv; y[0] = (ih==0)? fv: -fv;
fv = fq[0]-fv; fv = math_narrow_eval (fq[0]-fv);
for (i=1;i<=jz;i++) fv += fq[i]; for (i=1;i<=jz;i++) fv = math_narrow_eval (fv + fq[i]);
y[1] = (ih==0)? fv: -fv; y[1] = (ih==0)? fv: -fv;
break; break;
case 3: /* painful */ case 3: /* painful */
for (i=jz;i>0;i--) { for (i=jz;i>0;i--) {
#if __FLT_EVAL_METHOD__ != 0 float fv = math_narrow_eval (fq[i-1]+fq[i]);
volatile
#endif
float fv = fq[i-1]+fq[i];
fq[i] += fq[i-1]-fv; fq[i] += fq[i-1]-fv;
fq[i-1] = fv; fq[i-1] = fv;
} }
for (i=jz;i>1;i--) { for (i=jz;i>1;i--) {
#if __FLT_EVAL_METHOD__ != 0 float fv = math_narrow_eval (fq[i-1]+fq[i]);
volatile
#endif
float fv = fq[i-1]+fq[i];
fq[i] += fq[i-1]-fv; fq[i] += fq[i-1]-fv;
fq[i-1] = fv; fq[i-1] = fv;
} }

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@ -245,17 +245,9 @@ __lgamma_negf (float x, int *signgamp)
} }
float log_gamma_ratio; float log_gamma_ratio;
#if FLT_EVAL_METHOD != 0 float y0 = math_narrow_eval (1 - x0_hi);
volatile
#endif
float y0_tmp = 1 - x0_hi;
float y0 = y0_tmp;
float y0_eps = -x0_hi + (1 - y0) - x0_lo; float y0_eps = -x0_hi + (1 - y0) - x0_lo;
#if FLT_EVAL_METHOD != 0 float y = math_narrow_eval (1 - x);
volatile
#endif
float y_tmp = 1 - x;
float y = y_tmp;
float y_eps = -x + (1 - y); float y_eps = -x + (1 - y);
/* We now wish to compute LOG_GAMMA_RATIO /* We now wish to compute LOG_GAMMA_RATIO
= log (gamma (Y0 + Y0_EPS) / gamma (Y + Y_EPS)). XDIFF = log (gamma (Y0 + Y0_EPS) / gamma (Y + Y_EPS)). XDIFF

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@ -213,10 +213,7 @@ float __erfcf(float x)
r = __ieee754_expf(-z*z-(float)0.5625)* r = __ieee754_expf(-z*z-(float)0.5625)*
__ieee754_expf((z-x)*(z+x)+R/S); __ieee754_expf((z-x)*(z+x)+R/S);
if(hx>0) { if(hx>0) {
#if FLT_EVAL_METHOD != 0 float ret = math_narrow_eval (r/x);
volatile
#endif
float ret = r/x;
if (ret == 0) if (ret == 0)
__set_errno (ERANGE); __set_errno (ERANGE);
return ret; return ret;

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@ -34,7 +34,7 @@ __llrintf (float x)
{ {
int32_t j0; int32_t j0;
u_int32_t i0; u_int32_t i0;
volatile float w; float w;
float t; float t;
long long int result; long long int result;
int sx; int sx;
@ -52,7 +52,7 @@ __llrintf (float x)
result = (long long int) i0 << (j0 - 23); result = (long long int) i0 << (j0 - 23);
else else
{ {
w = two23[sx] + x; w = math_narrow_eval (two23[sx] + x);
t = w - two23[sx]; t = w - two23[sx];
GET_FLOAT_WORD (i0, t); GET_FLOAT_WORD (i0, t);
j0 = ((i0 >> 23) & 0xff) - 0x7f; j0 = ((i0 >> 23) & 0xff) - 0x7f;

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@ -34,7 +34,7 @@ __lrintf (float x)
{ {
int32_t j0; int32_t j0;
u_int32_t i0; u_int32_t i0;
volatile float w; float w;
float t; float t;
long int result; long int result;
int sx; int sx;
@ -52,7 +52,7 @@ __lrintf (float x)
result = (long int) i0 << (j0 - 23); result = (long int) i0 << (j0 - 23);
else else
{ {
w = two23[sx] + x; w = math_narrow_eval (two23[sx] + x);
t = w - two23[sx]; t = w - two23[sx];
GET_FLOAT_WORD (i0, t); GET_FLOAT_WORD (i0, t);
j0 = ((i0 >> 23) & 0xff) - 0x7f; j0 = ((i0 >> 23) & 0xff) - 0x7f;

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@ -34,7 +34,7 @@ __llrintl (long double x)
{ {
int32_t j0; int32_t j0;
u_int64_t i0,i1; u_int64_t i0,i1;
volatile long double w; long double w;
long double t; long double t;
long long int result; long long int result;
int sx; int sx;

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@ -34,7 +34,7 @@ __lrintl (long double x)
{ {
int32_t j0; int32_t j0;
u_int64_t i0,i1; u_int64_t i0,i1;
volatile long double w; long double w;
long double t; long double t;
long int result; long int result;
int sx; int sx;

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@ -73,10 +73,7 @@ double __nexttoward(double x, long double y)
} }
hy = hx&0x7ff00000; hy = hx&0x7ff00000;
if(hy>=0x7ff00000) { if(hy>=0x7ff00000) {
x = x+x; /* overflow */ x = math_narrow_eval (x+x); /* overflow */
if (FLT_EVAL_METHOD != 0 && FLT_EVAL_METHOD != 1)
/* Force conversion to double. */
asm ("" : "+m"(x));
return x; return x;
} }
if(hy<0x00100000) { if(hy<0x00100000) {

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@ -74,10 +74,7 @@ double __nexttoward(double x, long double y)
} }
hy = hx&0x7ff00000; hy = hx&0x7ff00000;
if(hy>=0x7ff00000) { if(hy>=0x7ff00000) {
x = x+x; /* overflow */ x = math_narrow_eval (x+x); /* overflow */
if (FLT_EVAL_METHOD != 0 && FLT_EVAL_METHOD != 1)
/* Force conversion to double. */
asm ("" : "+m"(x));
return x; return x;
} }
if(hy<0x00100000) { if(hy<0x00100000) {

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@ -63,10 +63,7 @@ float __nexttowardf(float x, long double y)
} }
hy = hx&0x7f800000; hy = hx&0x7f800000;
if(hy>=0x7f800000) { if(hy>=0x7f800000) {
x = x+x; /* overflow */ x = math_narrow_eval (x+x); /* overflow */
if (FLT_EVAL_METHOD != 0)
/* Force conversion to float. */
asm ("" : "+m"(x));
return x; return x;
} }
if(hy<0x00800000) { /* underflow */ if(hy<0x00800000) { /* underflow */

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@ -36,10 +36,7 @@ __gamma_product (double x, double x_eps, int n, double *eps)
for (int i = 1; i < n; i++) for (int i = 1; i < n; i++)
ret *= x_full + i; ret *= x_full + i;
#if FLT_EVAL_METHOD != 0 double fret = math_narrow_eval ((double) ret);
volatile
#endif
double fret = ret;
*eps = (ret - fret) / fret; *eps = (ret - fret) / fret;
return fret; return fret;

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@ -35,7 +35,7 @@ __llrintl (long double x)
int32_t se,j0; int32_t se,j0;
u_int32_t i0, i1; u_int32_t i0, i1;
long long int result; long long int result;
volatile long double w; long double w;
long double t; long double t;
int sx; int sx;

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@ -35,7 +35,7 @@ __lrintl (long double x)
int32_t se,j0; int32_t se,j0;
u_int32_t i0, i1; u_int32_t i0, i1;
long int result; long int result;
volatile long double w; long double w;
long double t; long double t;
int sx; int sx;

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@ -70,10 +70,7 @@ double __nexttoward(double x, long double y)
} }
hy = hx&0x7ff00000; hy = hx&0x7ff00000;
if(hy>=0x7ff00000) { if(hy>=0x7ff00000) {
x = x+x; /* overflow */ x = math_narrow_eval (x+x); /* overflow */
if (FLT_EVAL_METHOD != 0 && FLT_EVAL_METHOD != 1)
/* Force conversion to double. */
asm ("" : "+m"(x));
return x; return x;
} }
if(hy<0x00100000) { if(hy<0x00100000) {

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@ -58,10 +58,7 @@ float __nexttowardf(float x, long double y)
} }
hy = hx&0x7f800000; hy = hx&0x7f800000;
if(hy>=0x7f800000) { if(hy>=0x7f800000) {
x = x+x; /* overflow */ x = math_narrow_eval (x+x); /* overflow */
if (FLT_EVAL_METHOD != 0)
/* Force conversion to float. */
asm ("" : "+m"(x));
return x; return x;
} }
if(hy<0x00800000) { if(hy<0x00800000) {

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@ -62,10 +62,7 @@ float __nldbl_nexttowardf(float x, double y)
} }
hy = hx&0x7f800000; hy = hx&0x7f800000;
if(hy>=0x7f800000) { if(hy>=0x7f800000) {
x = x+x; /* overflow */ x = math_narrow_eval (x+x); /* overflow */
if (FLT_EVAL_METHOD != 0)
/* Force conversion to float. */
asm ("" : "+m"(x));
return x; return x;
} }
if(hy<0x00800000) { if(hy<0x00800000) {