The following patch implements a number of __builtin_popcount related
optimizations.
(i) popcount(x) == 0 can be simplified to x==0, and popcount(x) != 0 to
x!=0.
(ii) popcount(x&1) can be simplified to x&1, and for unsigned x,
popcount(x>>31) to x>>31.
(iii) popcount (x&6) + popcount(y&16) can be simplified to
popcount((x&6)|(y&16))

These may seem obscure transformations, but performing these types of
POPCOUNT
operations are often the performance critical steps in some cheminformatics
applications.

To implement the above transformations I've introduced the tree_nonzero_bits
function,
which is a tree-level version of rtlanal's nonzero_bits used by the RTL
optimizers.

The following patch has been tested on x86_64-pc-linux-gnu with a "make
bootstrap"
and "make check" with no regressions, and passes for the four new gcc.dg
test cases.

Many thanks In advance.  Best regards,

Roger
--
Roger Sayle, PhD.
NextMove Software Limited
Innovation Centre (Unit 23), Cambridge Science Park, Cambridge, CB4 0EY

2018-02-09  Roger Sayle  <ro...@nextmovesoftware.com>

        * fold-const.c (tree_nonzero_bits): New function.
        * fold-const.h (tree_nonzero_bits): Likewise.
        * match.pd (POPCOUNT): New patterns to fold BUILTIN_POPCOUNT and
        friends.  POPCOUNT(x&1) => x&1, POPCOUNT(x)==0 => x==0, etc.

2018-02-09  Roger Sayle  <ro...@nextmovesoftware.com>

        * gcc.dg/fold-popcount-1.c: New testcase.
        * gcc.dg/fold-popcount-2.c: New testcase.
        * gcc.dg/fold-popcount-3.c: New testcase.
        * gcc.dg/fold-popcount-4.c: New testcase.

/* { dg-do compile } */
/* { dg-options "-O2 -fdump-tree-original" } */

int test_eqzero(unsigned int a)
{
  return __builtin_popcount(a) == 0;
}

int test_eqzerol(unsigned long b)
{
  return __builtin_popcountl(b) == 0;
}

int test_eqzeroll(unsigned long long c)
{
  return __builtin_popcountll(c) == 0;
}

int test_nezero(unsigned int d)
{
  return __builtin_popcount(d) != 0;
}

int test_nezerol(unsigned long e)
{
  return __builtin_popcountl(e) != 0;
}

int test_nezeroll(unsigned long long f)
{
  return __builtin_popcountll(f) != 0;
}

/* { dg-final { scan-tree-dump-times "popcount" 0 "original" } } */

/* { dg-do compile } */
/* { dg-options "-O2 -fdump-tree-cddce1" } */

int test_andone(unsigned int a)
{
  return __builtin_popcount(a&1);
}

int test_andonel(unsigned long b)
{
  return __builtin_popcountl(b&1);
}

int test_andonell(unsigned long long c)
{
  return __builtin_popcountll(c&1);
}

int test_oneand(unsigned int d)
{
  return __builtin_popcount(1&d);
}

int test_oneandl(unsigned long e)
{
  return __builtin_popcountl(1&e);
}

int test_oneandll(unsigned long long f)
{
  return __builtin_popcountll(1&f);
}

/* { dg-final { scan-tree-dump-times "popcount" 0 "cddce1" } } */

/* { dg-do compile } */
/* { dg-options "-O2 -fdump-tree-cddce1" } */

int test_combine(unsigned int a, unsigned int b)
{
  return __builtin_popcount(a&8) + __builtin_popcount(b&2);
}

/* { dg-final { scan-tree-dump-times "popcount" 1 "cddce1" } } */

/* { dg-do compile } */
/* { dg-options "-O2 -fdump-tree-cddce1" } */

int test_shiftmax(unsigned int a)
{
  return __builtin_popcount(a>>(8*sizeof(a)-1));
}

int test_shiftmaxl(unsigned long b)
{
  return __builtin_popcountl(b>>(8*sizeof(b)-1));
}

int test_shiftmaxll(unsigned long long c)
{
  return __builtin_popcountll(c>>(8*sizeof(c)-1));
}

int test_shift7(unsigned char d)
{
  return __builtin_popcount(d>>7);
}

int test_shift7l(unsigned char e)
{
  return __builtin_popcountl(e>>7);
}

int test_shift7ll(unsigned char f)
{
  return __builtin_popcountll(f>>7);
}

int test_shift15(unsigned short g)
{
  return __builtin_popcount(g>>15);
}

int test_shift15l(unsigned short h)
{
  return __builtin_popcountl(h>>15);
}

int test_shift15ll(unsigned short i)
{
  return __builtin_popcountll(i>>15);
}

/* { dg-final { scan-tree-dump-times "popcount" 0 "cddce1" } } */

Index: gcc/fold-const.c
===================================================================
--- gcc/fold-const.c    (revision 257227)
+++ gcc/fold-const.c    (working copy)
@@ -14580,6 +14580,75 @@
   return string + offset;
 }
 
+/* Given a tree T, compute which bits in T may be nonzero.  */
+
+wide_int
+tree_nonzero_bits (const_tree t)
+{
+  switch (TREE_CODE (t))
+    {
+    case INTEGER_CST:
+      return wi::to_wide (t);
+    case SSA_NAME:
+      return get_nonzero_bits (t);
+    case NON_LVALUE_EXPR:
+    case SAVE_EXPR:
+      return tree_nonzero_bits (TREE_OPERAND (t, 0));
+    case BIT_AND_EXPR:
+      return wi::bit_and (tree_nonzero_bits (TREE_OPERAND (t, 0)),
+                         tree_nonzero_bits (TREE_OPERAND (t, 1)));
+    case BIT_IOR_EXPR:
+    case BIT_XOR_EXPR:
+      return wi::bit_or (tree_nonzero_bits (TREE_OPERAND (t, 0)),
+                        tree_nonzero_bits (TREE_OPERAND (t, 1)));
+    case COND_EXPR:
+      return wi::bit_or (tree_nonzero_bits (TREE_OPERAND (t, 1)),
+                        tree_nonzero_bits (TREE_OPERAND (t, 2)));
+    case NOP_EXPR:
+    case CONVERT_EXPR:
+      return wide_int::from (tree_nonzero_bits (TREE_OPERAND (t, 0)),
+                            TYPE_PRECISION (TREE_TYPE (t)),
+                            TYPE_SIGN (TREE_TYPE (TREE_OPERAND (t, 0))));
+    case PLUS_EXPR:
+      if (INTEGRAL_TYPE_P (TREE_TYPE (t)))
+       {
+         wide_int nzbits1 = tree_nonzero_bits (TREE_OPERAND (t, 0));
+         wide_int nzbits2 = tree_nonzero_bits (TREE_OPERAND (t, 1));
+         if (wi::bit_and (nzbits1, nzbits2) == 0)
+           return wi::bit_or (nzbits1, nzbits2);
+       }
+      break;
+    case LSHIFT_EXPR:
+      if (TREE_CODE (TREE_OPERAND (t, 1)) == INTEGER_CST)
+       {
+         tree type = TREE_TYPE (t);
+         wide_int nzbits = tree_nonzero_bits (TREE_OPERAND (t, 0));
+         wide_int arg1 = wi::to_wide (TREE_OPERAND (t, 1),
+                                      TYPE_PRECISION (type));
+         return wi::neg_p (arg1)
+                ? wi::rshift (nzbits, -arg1, TYPE_SIGN (type))
+                : wi::lshift (nzbits, arg1);
+       }
+      break;
+    case RSHIFT_EXPR:
+      if (TREE_CODE (TREE_OPERAND (t, 1)) == INTEGER_CST)
+        {
+         tree type = TREE_TYPE (t);
+         wide_int nzbits = tree_nonzero_bits (TREE_OPERAND (t, 0));
+         wide_int arg1 = wi::to_wide (TREE_OPERAND (t, 1),
+                                      TYPE_PRECISION (type));
+         return wi::neg_p (arg1)
+                ? wi::lshift (nzbits, -arg1)
+                : wi::rshift (nzbits, arg1, TYPE_SIGN (type));
+        }
+      break;
+    default:
+      break;
+    }
+
+  return wi::shwi (-1, TYPE_PRECISION (TREE_TYPE (t)));
+}
+
 #if CHECKING_P
 
 namespace selftest {
Index: gcc/fold-const.h
===================================================================
--- gcc/fold-const.h    (revision 257227)
+++ gcc/fold-const.h    (working copy)
@@ -181,6 +181,7 @@
 extern tree const_binop (enum tree_code, tree, tree, tree);
 extern bool negate_mathfn_p (combined_fn);
 extern const char *c_getstr (tree, unsigned HOST_WIDE_INT *strlen = NULL);
+extern wide_int tree_nonzero_bits (const_tree);
 
 /* Return OFF converted to a pointer offset type suitable as offset for
    POINTER_PLUS_EXPR.  Use location LOC for this conversion.  */
Index: gcc/match.pd
===================================================================
--- gcc/match.pd        (revision 257227)
+++ gcc/match.pd        (working copy)
@@ -4648,3 +4648,24 @@
        || wi::geu_p (wi::to_wide (@rpos),
                      wi::to_wide (@ipos) + isize))
     (BIT_FIELD_REF @0 @rsize @rpos)))))
+
+/* POPCOUNT simplifications.  */
+(for popcount (BUILT_IN_POPCOUNT BUILT_IN_POPCOUNTL BUILT_IN_POPCOUNTLL
+               BUILT_IN_POPCOUNTIMAX)
+  /* popcount(X&1) is nop_expr(X&1).  */
+  (simplify
+    (popcount @0)
+    (if (tree_nonzero_bits (@0) == 1)
+      (convert @0)))
+  /* popcount(X) + popcount(Y) is popcount(X|Y) when X&Y must be zero.  */
+  (simplify
+    (plus (popcount @0) (popcount @1))
+    (if (wi::bit_and (tree_nonzero_bits (@0), tree_nonzero_bits (@1)) == 0)
+      (popcount (bit_ior @0 @1))))
+  /* pocount(X) == 0 is X == 0, and related (in)equalities.  */
+  (for cmp (le eq ne gt)
+       rep (eq eq ne ne)
+    (simplify
+      (cmp (popcount @0) zerop)
+      (rep @0 { build_zero_cst (TREE_TYPE (@0)); }))))
+

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