-2004-09-09 Victor Leikehman <lei@il.ibm.com>
+2004-08-09 Richard Henderson <rth@redhat.com>
+ Roger Sayle <roger@eyesopen.com>
+
+ * intrinsics/c99_functions.c (nextafterf): New implementation that
+ works correctly with denormalized numbers.
+
+2004-08-09 Victor Leikehman <lei@il.ibm.com>
* m4/matmul.m4, m4/matmull.m4, intrinsics/eoshift0.c,
intrinsics/eoshift2.c, intrinsics/transpose_generic.c:
#ifndef HAVE_NEXTAFTERF
/* This is a portable implementation of nextafterf that is intended to be
independent of the floating point format or its in memory representation.
- This implementation skips denormalized values, for example returning
- FLT_MIN as the next value after zero, as many target's frexpf, scalbnf
- and ldexpf functions don't work as expected with denormalized values. */
+ This implementation works correctly with denormalized values. */
float
nextafterf(float x, float y)
{
- int origexp, newexp;
+ /* This variable is marked volatile to avoid excess precision problems
+ on some platforms, including IA-32. */
+ volatile float delta;
+ float absx, denorm_min;
if (isnan(x) || isnan(y))
- return x+y;
+ return x + y;
if (x == y)
return x;
- if (x == 0.0f)
- return y > 0.0f ? FLT_MIN : -FLT_MIN;
+ /* absx = fabsf (x); */
+ absx = (x < 0.0) ? -x : x;
- frexpf(x, &origexp);
- if (x >= 0.0)
- {
- if (y > x)
- {
- if (x < FLT_MIN)
- return FLT_MIN;
- return x + scalbnf(FLT_EPSILON, origexp-1);
- }
- else if (x > FLT_MIN)
- {
- float temp = x - scalbnf(FLT_EPSILON, origexp-1);
- frexpf(temp, &newexp);
- if (newexp == origexp)
- return temp;
- return x - scalbnf(FLT_EPSILON, origexp-2);
- }
- else
- return 0.0f;
- }
+ /* __FLT_DENORM_MIN__ is non-zero iff the target supports denormals. */
+ if (__FLT_DENORM_MIN__ == 0.0f)
+ denorm_min = __FLT_MIN__;
+ else
+ denorm_min = __FLT_DENORM_MIN__;
+
+ if (absx < __FLT_MIN__)
+ delta = denorm_min;
else
{
- if (y < x)
- {
- if (x > -FLT_MIN)
- return -FLT_MIN;
- return x - scalbnf(FLT_EPSILON, origexp-1);
- }
- else if (x < -FLT_MIN)
- {
- float temp = x + scalbnf(FLT_EPSILON, origexp-1);
- frexpf(temp, &newexp);
- if (newexp == origexp)
- return temp;
- return x + scalbnf(FLT_EPSILON, origexp-2);
- }
- else
- return 0.0f;
+ float frac;
+ int exp;
+
+ /* Discard the fraction from x. */
+ frac = frexpf (absx, &exp);
+ delta = scalbnf (0.5f, exp);
+
+ /* Scale x by the epsilon of the representation. By rights we should
+ have been able to combine this with scalbnf, but some targets don't
+ get that correct with denormals. */
+ delta *= __FLT_EPSILON__;
+
+ /* If we're going to be reducing the absolute value of X, and doing so
+ would reduce the exponent of X, then the delta to be applied is
+ one exponent smaller. */
+ if (frac == 0.5f && (y < x) == (x > 0))
+ delta *= 0.5f;
+
+ /* If that underflows to zero, then we're back to the minimum. */
+ if (delta == 0.0f)
+ delta = denorm_min;
}
+
+ if (y < x)
+ delta = -delta;
+
+ return x + delta;
}
#endif