On Sun, May 24, 2026 at 1:51 PM Shivam Gupta <[email protected]> wrote:
>
> At -O1, GCC lowers (~a & 1) == (~b & 1) into two different GIMPLE
> forms depending on whether the boolean values come from a function
> return boundary or an inline expression:
>
>   1. Via function return (e.g. inlined is_even), GCC preserves the
>      eq/ne form because the function boundary hides the internal
>      structure from the gimplifier:
>        ((a&1)==0) == ((b&1)==0)   outer node is eq/ne
>
>   2. Via inline expression (directly written), GCC sees the full
>      boolean expression tree at once and folds to bit_xor during
>      gimplification:
>        ((a&1)!=0) ^ ((b&1)==0)   outer node is bit_xor
>
> Add two match.pd rules to handle both forms:
>
>   1. (cmp (eq (x&c) 0) (eq (y&c) 0)) -> (cmp (x&c) (y&c))
>   2. (bit_xor (cmp (x&c) 0) (eq (y&c) 0)) -> (xcmp (x&c) (y&c))
>
> Subsequent passes further simplify these to (x^y)&c == 0.
>
> Bootstrapped and tested on aarch64-linux-gnu.
>
> Changes since v1:
> * v2: Generalize mask from integer_onep to integer_pow2p.
>       Combine both patterns into single one.
>       Split test into bool-eq-evenness.c, bool-eq-bitxor.c,
>       bool-eq-pow2.c.
>
>         PR tree-optimization/112533
> gcc/ChangeLog:
>         * match.pd: Simplify ((x&c)==0) cmp ((y&c)==0) to (x&c) cmp (y&c)
>         and ((x&c) cmp 0)^((y&c)==0) to (x&c) xcmp (y&c) for pow2 c.
>
> gcc/testsuite/ChangeLog:
>         * gcc.dg/tree-ssa/bool-eq-bitxor.c: New test.
>         * gcc.dg/tree-ssa/bool-eq-evenness.c: New test.
>         * gcc.dg/tree-ssa/bool-eq-pow2.c: New test.
>
> Signed-off-by: Shivam Gupta <[email protected]>
> ---
>  gcc/match.pd                                  | 20 +++++++++
>  .../gcc.dg/tree-ssa/bool-eq-bitxor.c          | 23 ++++++++++
>  .../gcc.dg/tree-ssa/bool-eq-evenness.c        | 43 +++++++++++++++++++
>  gcc/testsuite/gcc.dg/tree-ssa/bool-eq-pow2.c  | 33 ++++++++++++++
>  4 files changed, 119 insertions(+)
>  create mode 100644 gcc/testsuite/gcc.dg/tree-ssa/bool-eq-bitxor.c
>  create mode 100644 gcc/testsuite/gcc.dg/tree-ssa/bool-eq-evenness.c
>  create mode 100644 gcc/testsuite/gcc.dg/tree-ssa/bool-eq-pow2.c
>
> diff --git a/gcc/match.pd b/gcc/match.pd
> index ff13a07ea94..f5a2844b43e 100644
> --- a/gcc/match.pd
> +++ b/gcc/match.pd
> @@ -1464,6 +1464,26 @@ DEFINE_INT_AND_FLOAT_ROUND_FN (RINT)
>    (if (TYPE_UNSIGNED (type))
>      (bit_and @0 (bit_not (lshift { build_all_ones_cst (type); } @1)))))
>
> +/* PR112533: Transform
> +   ((X & C) == 0) == ((Y & C) == 0) -> (X & C) == (Y & C).
> +   ((X & C) == 0) != ((Y & C) == 0) -> (X & C) != (Y & C).
> +   ((X & C) != 0) ^ ((Y & C) == 0) -> (X & C) == (Y & C).
> +   ((X & C) == 0) ^ ((Y & C) == 0) -> (X & C) != (Y & C).  */
> +(for cmp (eq ne)
> +     xcmp (ne eq)
> + (simplify
> +  (cmp
> +   (eq (bit_and @0 integer_pow2p@1) integer_zerop)
> +   (eq (bit_and @2 @1)              integer_zerop))
> +  (if (types_match (@0, @2))
> +   (cmp (bit_and @0 @1) (bit_and @2 @1))))
> + (simplify
> +  (bit_xor:c
> +   (cmp (bit_and @0 integer_pow2p@1) integer_zerop)
> +   (eq  (bit_and @2 @1)              integer_zerop))
> +  (if (types_match (@0, @2))
> +   (xcmp (bit_and @0 @1) (bit_and @2 @1)))))

We can combine this into one simplify and also let's just use `((a ^b)
& CST) ==/!= 0` as the result as it will simplify anyways into that so
let's fold directly.

We can do better even by doing something like:
```
(for ocmp  (eq ne bit_xor)
 (for icmp0 (eq eq ne ne)
      icmp1 (eq ne eq ne)
  (simplify
   (ocmp
    (icmp0 (bit_and @0 integer_pow2p@1) integer_zerop@3)
    (icmp1 (bit_and @2 @1)              integer_zerop))
     (if (types_match (@0, @2))
      (with {
        bool innersame = (icmp0 == EQ_EXPR) == (icmp1 == EQ_EXPR);
      }
      (if (innersame == (ocmp == EQ_EXPR))
       (eq (bit_and (bit_xor @0 @2) @1) @3)
       (ne (bit_and (bit_xor @0 @2) @1) @3)))))))
```
This should catch all cases, and I think I did the logic correctly for
the resulting pattern too.
Please make sure I did the logic correct when I combined these and
make sure you add a few testcases.
The cases you were missing in your pattern was :
((X & C) == 0) != ((Y & C) == 0)
((X & C) != 0) == ((Y & C) == 0)
Even though you handled that case for ^ (which is the same as != for booleans).

Thanks,
Andrea

> +
>  (for bitop (bit_and bit_ior)
>       cmp (eq ne)
>   /* PR35691: Transform
> diff --git a/gcc/testsuite/gcc.dg/tree-ssa/bool-eq-bitxor.c 
> b/gcc/testsuite/gcc.dg/tree-ssa/bool-eq-bitxor.c
> new file mode 100644
> index 00000000000..119dbce0fae
> --- /dev/null
> +++ b/gcc/testsuite/gcc.dg/tree-ssa/bool-eq-bitxor.c
> @@ -0,0 +1,23 @@
> +/* { dg-do compile } */
> +/* { dg-options "-O1 -fdump-tree-optimized" } */
> +
> +typedef unsigned int u32;
> +
> +_Bool
> +xor_ne_eq (u32 a, u32 b)
> +{
> +  u32 t1 = a & 1;
> +  u32 t2 = b & 1;
> +  return (t1 != 0) ^ (t2 == 0);
> +}
> +
> +_Bool
> +xor_eq_eq (u32 a, u32 b)
> +{
> +  u32 t1 = a & 1;
> +  u32 t2 = b & 1;
> +  return (t1 == 0) ^ (t2 == 0);
> +}
> +
> +/* Verify boolean xor-of-comparisons is eliminated.  */
> +/* { dg-final { scan-tree-dump-not "== 0" "optimized" } } */
> diff --git a/gcc/testsuite/gcc.dg/tree-ssa/bool-eq-evenness.c 
> b/gcc/testsuite/gcc.dg/tree-ssa/bool-eq-evenness.c
> new file mode 100644
> index 00000000000..75df70dc6a4
> --- /dev/null
> +++ b/gcc/testsuite/gcc.dg/tree-ssa/bool-eq-evenness.c
> @@ -0,0 +1,43 @@
> +/* { dg-do compile } */
> +/* { dg-options "-O1 -fdump-tree-optimized" } */
> +
> +/* Verify the GIMPLE-level fix for PR112533. */
> +
> +typedef unsigned int u32;
> +
> +static _Bool
> +is_even (u32 a)
> +{
> +  return a % 2 == 0;
> +}
> +
> +_Bool
> +same_evenness (u32 a, u32 b)
> +{
> +  return is_even (a) == is_even (b);
> +}
> +
> +_Bool
> +diff_evenness (u32 a, u32 b)
> +{
> +  return is_even (a) != is_even (b);
> +}
> +
> +_Bool
> +same_evenness_cmp_zero (u32 a, u32 b)
> +{
> +  u32 t1 = a & 1;
> +  u32 t2 = b & 1;
> +  return (t1 == 0) == (t2 == 0);
> +}
> +
> +_Bool
> +diff_evenness_cmp_zero (u32 a, u32 b)
> +{
> +  u32 t1 = a & 1;
> +  u32 t2 = b & 1;
> +  return (t1 == 0) != (t2 == 0);
> +}
> +
> +/* Verify all functions canonicalize to xor forms.  */
> +/* { dg-final { scan-tree-dump-times "\\^" 4 "optimized" } } */
> diff --git a/gcc/testsuite/gcc.dg/tree-ssa/bool-eq-pow2.c 
> b/gcc/testsuite/gcc.dg/tree-ssa/bool-eq-pow2.c
> new file mode 100644
> index 00000000000..44e3b662e86
> --- /dev/null
> +++ b/gcc/testsuite/gcc.dg/tree-ssa/bool-eq-pow2.c
> @@ -0,0 +1,33 @@
> +/* { dg-do compile } */
> +/* { dg-options "-O1 -fdump-tree-optimized" } */
> +
> +typedef unsigned int u32;
> +
> +_Bool
> +same_bit1 (u32 a, u32 b)
> +{
> +  u32 t1 = a & 2;
> +  u32 t2 = b & 2;
> +  return (t1 == 0) == (t2 == 0);
> +}
> +
> +_Bool
> +same_bit2 (u32 a, u32 b)
> +{
> +  u32 t1 = a & 4;
> +  u32 t2 = b & 4;
> +  return (t1 == 0) == (t2 == 0);
> +}
> +
> +/* Non-power-of-2: should not be simplified.  */
> +_Bool
> +same_bits_nonpow2 (u32 a, u32 b)
> +{
> +  u32 t1 = a & 3;
> +  u32 t2 = b & 3;
> +  return (t1 == 0) == (t2 == 0);
> +}
> +
> +/* Verify power-of-2 masks are simplified, non-power-of-2 masks are not.  */
> +/* { dg-final { scan-tree-dump-times "\\^" 3 "optimized" } } */
> +/* { dg-final { scan-tree-dump-times "& 3" 2 "optimized" } } */
> --
> 2.34.1
>

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