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-rw-r--r--sysdeps/ieee754/ldbl-128ibm/s_roundl.c124
1 files changed, 51 insertions, 73 deletions
diff --git a/sysdeps/ieee754/ldbl-128ibm/s_roundl.c b/sysdeps/ieee754/ldbl-128ibm/s_roundl.c
index 7fe84b8..0880e6e 100644
--- a/sysdeps/ieee754/ldbl-128ibm/s_roundl.c
+++ b/sysdeps/ieee754/ldbl-128ibm/s_roundl.c
@@ -22,7 +22,7 @@
when it's coded in C. */
#include <math.h>
-#include <fenv.h>
+#include <fenv_libc.h>
#include <math_ldbl_opt.h>
#include <float.h>
#include <ieee754.h>
@@ -37,84 +37,62 @@ __roundl (x)
long double x;
#endif
{
- static const double TWO52 = 4503599627370496.0;
- static const double HALF = 0.5;
- int mode = fegetround();
- union ibm_extended_long_double u;
- u.d = x;
-
- if (fabs (u.dd[0]) < TWO52)
- {
- fesetround(FE_TOWARDZERO);
- if (u.dd[0] > 0.0)
- {
- u.dd[0] += HALF;
- u.dd[0] += TWO52;
- u.dd[0] -= TWO52;
- }
- else if (u.dd[0] < 0.0)
- {
- u.dd[0] = TWO52 - (u.dd[0] - HALF);
- u.dd[0] = -(u.dd[0] - TWO52);
- }
- u.dd[1] = 0.0;
- fesetround(mode);
- }
- else if (fabs (u.dd[1]) < TWO52 && u.dd[1] != 0.0)
+ double xh, xl, hi, lo;
+
+ ldbl_unpack (x, &xh, &xl);
+
+ /* Return Inf, Nan, +/-0 unchanged. */
+ if (__builtin_expect (xh != 0.0
+ && __builtin_isless (__builtin_fabs (xh),
+ __builtin_inf ()), 1))
{
- double high, low;
- /* In this case we have to round the low double and handle any
- adjustment to the high double that may be caused by rounding
- (up). This is complicated by the fact that the high double
- may already be rounded and the low double may have the
- opposite sign to compensate. */
- if (u.dd[0] > 0.0)
+ double orig_xh;
+ int save_round = fegetround ();
+
+ /* Long double arithmetic, including the canonicalisation below,
+ only works in round-to-nearest mode. */
+ fesetround (FE_TONEAREST);
+
+ /* Convert the high double to integer. */
+ orig_xh = xh;
+ hi = ldbl_nearbyint (xh);
+
+ /* Subtract integral high part from the value. */
+ xh -= hi;
+ ldbl_canonicalize (&xh, &xl);
+
+ /* Now convert the low double, adjusted for any remainder from the
+ high double. */
+ lo = ldbl_nearbyint (xh);
+
+ /* Adjust the result when the remainder is exactly 0.5. nearbyint
+ rounds values halfway between integers to the nearest even
+ integer. roundl must round away from zero.
+ Also correct cases where nearbyint returns an incorrect value
+ for LO. */
+ xh -= lo;
+ ldbl_canonicalize (&xh, &xl);
+ if (xh == 0.5)
{
- if (u.dd[1] > 0.0)
- {
- /* If the high/low doubles are the same sign then simply
- round the low double. */
- high = u.dd[0];
- low = u.dd[1];
- }
- else if (u.dd[1] < 0.0)
- {
- /* Else the high double is pre rounded and we need to
- adjust for that. */
- high = nextafter (u.dd[0], 0.0);
- low = u.dd[1] + (u.dd[0] - high);
- }
- fesetround(FE_TOWARDZERO);
- low += HALF;
- low += TWO52;
- low -= TWO52;
+ if (xl > 0.0 || (xl == 0.0 && orig_xh > 0.0))
+ lo += 1.0;
}
- else if (u.dd[0] < 0.0)
+ else if (-xh == 0.5)
{
- if (u.dd[1] < 0.0)
- {
- /* If the high/low doubles are the same sign then simply
- round the low double. */
- high = u.dd[0];
- low = u.dd[1];
- }
- else if (u.dd[1] > 0.0)
- {
- /* Else the high double is pre rounded and we need to
- adjust for that. */
- high = nextafter (u.dd[0], 0.0);
- low = u.dd[1] + (u.dd[0] - high);
- }
- fesetround(FE_TOWARDZERO);
- low -= HALF;
- low = TWO52 - low;
- low = -(low - TWO52);
+ if (xl < 0.0 || (xl == 0.0 && orig_xh < 0.0))
+ lo -= 1.0;
}
- fesetround(mode);
- u.dd[0] = high + low;
- u.dd[1] = high - u.dd[0] + low;
+
+ /* Ensure the final value is canonical. In certain cases,
+ rounding causes hi,lo calculated so far to be non-canonical. */
+ xh = hi;
+ xl = lo;
+ ldbl_canonicalize (&xh, &xl);
+
+ fesetround (save_round);
}
- return u.d;
+
+ return ldbl_pack (xh, xl);
}
long_double_symbol (libm, __roundl, roundl);