mpz_clear (max);
/* Compute no-overflow information for the control iv. This can be
- proven when below two conditions hold.
-
- 1) |FINAL - base| is an exact multiple of step.
- 2) IV evaluates toward FINAL at beginning, i.e:
+ proven when below two conditions are satisfied:
+ 1) IV evaluates toward FINAL at beginning, i.e:
base <= FINAL ; step > 0
base >= FINAL ; step < 0
- Note the first condition holds, the second can be then relaxed
- to below condition.
+ 2) |FINAL - base| is an exact multiple of step.
+
+ Unfortunately, it's hard to prove above conditions after pass loop-ch
+ because loop with exit condition (IV != FINAL) usually will be guarded
+ by initial-condition (IV.base - IV.step != FINAL). In this case, we
+ can alternatively try to prove below conditions:
+
+ 1') IV evaluates toward FINAL at beginning, i.e:
+ new_base = base - step < FINAL ; step > 0
+ && base - step doesn't underflow
+ new_base = base - step > FINAL ; step < 0
+ && base - step doesn't overflow
- base - step < FINAL ; step > 0
- && base - step doesn't underflow
- base - step > FINAL ; step < 0
- && base - step doesn't overflow
+ 2') |FINAL - new_base| is an exact multiple of step.
- The relaxation is important because after pass loop-ch, loop
- with exit condition (IV != FINAL) will usually be guarded by
- pre-condition (IV.base - IV.step != FINAL). Please refer to
- PR34114 as an example.
+ Please refer to PR34114 as an example of loop-ch's impact, also refer
+ to PR72817 as an example why condition 2') is necessary.
- Also note, for NE_EXPR, base equals to FINAL is a special case, in
+ Note, for NE_EXPR, base equals to FINAL is a special case, in
which the loop exits immediately, and the iv does not overflow. */
if (!niter->control.no_overflow
&& (integer_onep (s) || multiple_of_p (type, c, s)))
{
- tree t, cond, relaxed_cond = boolean_false_node;
+ tree t, cond, new_c, relaxed_cond = boolean_false_node;
if (tree_int_cst_sign_bit (iv->step))
{
if (integer_nonzerop (t))
{
t = fold_build2 (MINUS_EXPR, type, iv->base, iv->step);
- relaxed_cond = fold_build2 (GT_EXPR, boolean_type_node,
- t, final);
+ new_c = fold_build2 (MINUS_EXPR, niter_type,
+ fold_convert (niter_type, t),
+ fold_convert (niter_type, final));
+ if (multiple_of_p (type, new_c, s))
+ relaxed_cond = fold_build2 (GT_EXPR, boolean_type_node,
+ t, final);
}
}
}
if (integer_nonzerop (t))
{
t = fold_build2 (MINUS_EXPR, type, iv->base, iv->step);
- relaxed_cond = fold_build2 (LT_EXPR, boolean_type_node,
- t, final);
+ new_c = fold_build2 (MINUS_EXPR, niter_type,
+ fold_convert (niter_type, final),
+ fold_convert (niter_type, t));
+ if (multiple_of_p (type, new_c, s))
+ relaxed_cond = fold_build2 (LT_EXPR, boolean_type_node,
+ t, final);
}
}
}