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Fix ldbl-128ibm roundl for non-default rounding modes (bug 19594).
The ldbl-128ibm implementation of roundl is only correct in round-to-nearest mode (in other modes, there are incorrect results and overflow exceptions in some cases). This patch reimplements it along the lines used for floorl, ceill and truncl, using __round on the high part, and on the low part if the high part is an integer, and then adjusting in the cases where this is incorrect. Tested for powerpc. [BZ #19594] * sysdeps/ieee754/ldbl-128ibm/s_roundl.c (__roundl): Use __round on high and low parts then adjust result and use ldbl_canonicalize_int if needed.
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@ -1,5 +1,10 @@
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2016-02-18 Joseph Myers <joseph@codesourcery.com>
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[BZ #19594]
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* sysdeps/ieee754/ldbl-128ibm/s_roundl.c (__roundl): Use __round
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on high and low parts then adjust result and use
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ldbl_canonicalize_int if needed.
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[BZ #19593]
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* sysdeps/ieee754/ldbl-128ibm/s_truncl.c (__truncl): Use __trunc
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on high part and __floor or __ceil on low part then use
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@ -38,46 +38,44 @@ __roundl (long double x)
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&& __builtin_isless (__builtin_fabs (xh),
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__builtin_inf ()), 1))
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{
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double orig_xh;
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/* Long double arithmetic, including the canonicalisation below,
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only works in round-to-nearest mode. */
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/* Convert the high double to integer. */
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orig_xh = xh;
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hi = ldbl_nearbyint (xh);
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/* Subtract integral high part from the value. */
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xh -= hi;
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ldbl_canonicalize (&xh, &xl);
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/* Now convert the low double, adjusted for any remainder from the
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high double. */
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lo = ldbl_nearbyint (xh);
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/* Adjust the result when the remainder is exactly 0.5. nearbyint
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rounds values halfway between integers to the nearest even
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integer. roundl must round away from zero.
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Also correct cases where nearbyint returns an incorrect value
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for LO. */
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xh -= lo;
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ldbl_canonicalize (&xh, &xl);
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if (xh == 0.5)
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hi = __round (xh);
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if (hi != xh)
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{
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if (xl > 0.0 || (xl == 0.0 && orig_xh > 0.0))
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lo += 1.0;
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/* The high part is not an integer; the low part only
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affects the result if the high part is exactly half way
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between two integers and the low part is nonzero with the
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opposite sign. */
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if (fabs (hi - xh) == 0.5)
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{
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if (xh > 0 && xl < 0)
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xh = hi - 1;
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else if (xh < 0 && xl > 0)
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xh = hi + 1;
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else
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xh = hi;
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}
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else
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xh = hi;
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xl = 0;
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}
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else if (-xh == 0.5)
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else
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{
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if (xl < 0.0 || (xl == 0.0 && orig_xh < 0.0))
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lo -= 1.0;
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/* The high part is a nonzero integer. */
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lo = __round (xl);
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if (fabs (lo - xl) == 0.5)
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{
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if (xh > 0 && xl < 0)
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xl = lo + 1;
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else if (xh < 0 && lo > 0)
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xl = lo - 1;
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else
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xl = lo;
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}
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else
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xl = lo;
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xh = hi;
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ldbl_canonicalize_int (&xh, &xl);
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}
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/* Ensure the final value is canonical. In certain cases,
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rounding causes hi,lo calculated so far to be non-canonical. */
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xh = hi;
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xl = lo;
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ldbl_canonicalize (&xh, &xl);
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}
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return ldbl_pack (xh, xl);
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