range-op-float: frange_arithmetic tweaks for MODE_COMPOSITE_P

As mentioned in PR107967, ibm-ldouble-format documents that
+- has 1ulp accuracy, * 2ulps and / 3ulps.
So, even if the result is exact, we need to widen the range a little bit.

The following patch does that.  I just wonder what it means for reverse
division (the op1_range case), which we implement through multiplication,
when division has 3ulps error and multiplication just 2ulps.  In any case,
this format is a mess and for non-default rounding modes can't be trusted
at all, instead of +inf or something close to it it happily computes -inf.

2022-12-08  Jakub Jelinek  <jakub@redhat.com>

	* range-op-float.cc (frange_nextafter): For MODE_COMPOSITE_P from
	denormal or zero, use real_nextafter on DFmode with conversions
	around it.
	(frange_arithmetic): For mode_composite, on top of rounding in the
	right direction accept extra 1ulp error for PLUS/MINUS_EXPR, extra
	2ulps error for MULT_EXPR and extra 3ulps error for RDIV_EXPR.

diff --git a/gcc/range-op-float.cc b/gcc/range-op-float.cc
index 2c6026d..929ff9c 100644 (file)
--- a/gcc/range-op-float.cc
+++ b/gcc/range-op-float.cc
@@ -254,10 +254,21 @@ frange_nextafter (enum machine_mode mode,
                  REAL_VALUE_TYPE &value,
                  const REAL_VALUE_TYPE &inf)
 {
-  const real_format *fmt = REAL_MODE_FORMAT (mode);
-  REAL_VALUE_TYPE tmp;
-  real_nextafter (&tmp, fmt, &value, &inf);
-  value = tmp;
+  if (MODE_COMPOSITE_P (mode)
+      && (real_isdenormal (&value, mode) || real_iszero (&value)))
+    {
+      // IBM extended denormals only have DFmode precision.
+      REAL_VALUE_TYPE tmp, tmp2;
+      real_convert (&tmp2, DFmode, &value);
+      real_nextafter (&tmp, REAL_MODE_FORMAT (DFmode), &tmp2, &inf);
+      real_convert (&value, mode, &tmp);
+    }
+  else
+    {
+      REAL_VALUE_TYPE tmp;
+      real_nextafter (&tmp, REAL_MODE_FORMAT (mode), &value, &inf);
+      value = tmp;
+    }
 }
 
 // Like real_arithmetic, but round the result to INF if the operation
@@ -324,21 +335,40 @@ frange_arithmetic (enum tree_code code, tree type,
     }
   if (round && (inexact || !real_identical (&result, &value)))
     {
-      if (mode_composite)
+      if (mode_composite
+         && (real_isdenormal (&result, mode) || real_iszero (&result)))
        {
-         if (real_isdenormal (&result, mode)
-             || real_iszero (&result))
-           {
-             // IBM extended denormals only have DFmode precision.
-             REAL_VALUE_TYPE tmp;
-             real_convert (&tmp, DFmode, &value);
-             frange_nextafter (DFmode, tmp, inf);
-             real_convert (&result, mode, &tmp);
-             return;
-           }
+         // IBM extended denormals only have DFmode precision.
+         REAL_VALUE_TYPE tmp, tmp2;
+         real_convert (&tmp2, DFmode, &value);
+         real_nextafter (&tmp, REAL_MODE_FORMAT (DFmode), &tmp2, &inf);
+         real_convert (&result, mode, &tmp);
        }
-      frange_nextafter (mode, result, inf);
+      else
+       frange_nextafter (mode, result, inf);
     }
+  if (mode_composite)
+    switch (code)
+      {
+      case PLUS_EXPR:
+      case MINUS_EXPR:
+       // ibm-ldouble-format documents 1ulp for + and -.
+       frange_nextafter (mode, result, inf);
+       break;
+      case MULT_EXPR:
+       // ibm-ldouble-format documents 2ulps for *.
+       frange_nextafter (mode, result, inf);
+       frange_nextafter (mode, result, inf);
+       break;
+      case RDIV_EXPR:
+       // ibm-ldouble-format documents 3ulps for /.
+       frange_nextafter (mode, result, inf);
+       frange_nextafter (mode, result, inf);
+       frange_nextafter (mode, result, inf);
+       break;
+      default:
+       break;
+      }
 }
 
 // Crop R to [-INF, MAX] where MAX is the maximum representable number