The forwprop long-multiply recognizer canonicalizes hand-written
longhand high-part multiplies into a cast+mult+shift+cast chain:

  lhs = (N) (((2N) op1 * (2N) op2) >> N)

When the target lacks an expansion path for the wide form,
`lower_long_mul_high_chain' resynthesizes the longhand at N precision
with a carry-cross-sum recipe.  The partial products use
(N/2)-by-(N/2)->N WIDEN_MULT_EXPR when the target has that optab, and
plain MULT_EXPR at N precision
otherwise (value-equivalent, as the halves are < 2^(N/2)).  The
accumulator stays at narrow_type, so the chain never materializes 2N
in gimple -- necessary for shapes where the 2N mode has no expansion
path at all (e.g. the high 128 bits of a 128x128 product on a target
with OImode in the mode table but no scalar OImode support).

The lowering is type-adaptive on the outer convert's lhs type, since
conversion merging can combine the chain's final truncation with a
later user cast (e.g. `(u64) mulh128 (x, y)'): the longhand is built
at narrow precision and converted once to the actual lhs type, which
is value-preserving for any integral lhs (the high part is < 2^N).

The recognizer's HIGH_PART emit and the widening_mul pass's gate are
paired via `optimize_widening_mul_active_p', so a chain is emitted
only when the pass will run to rescue any unsupported 2N shape.

gcc/ChangeLog:

        * match.pd (long_mul_high_chain): New atom for the chain
        shape.
        * tree-ssa-math-opts.h (optimize_widening_mul_active_p):
        Declare.
        * tree-ssa-math-opts.cc (optimize_widening_mul_active_p): New;
        shared gate used by pass_optimize_widening_mul::gate and by
        the forwprop long-multiply recognizer.
        (can_widen_to_narrow_p): New.
        (build_long_mul_partials): New; emits the four partial
        products using widening or plain multiplies.
        (gimple_long_mul_high_chain): Declare.
        (lower_long_mul_high_chain): New; lowers the high-part chain
        to a longhand at narrow precision.
        (pass_optimize_widening_mul::gate): Delegate to
        optimize_widening_mul_active_p.
        (math_opts_dom_walker::after_dom_children): Dispatch to
        lower_long_mul_high_chain on the outer convert.
        * tree-ssa-forwprop.cc: Include tree-ssa-math-opts.h.
        (long_mul_classify_match): Gate the HIGH_PART wide-chain
        emit on optimize_widening_mul_active_p.

gcc/testsuite/ChangeLog:

        * gcc.dg/tree-ssa/long-mul-carry.c: Add scans for the
        high-part chain lowering and its dump message.
        * gcc.dg/tree-ssa/long-mul-ladder.c: Likewise.
        * gcc.dg/tree-ssa/long-mul-chain-cse-128.c: New test.
        * gcc.dg/torture/long-mul-128.c: New test.
        * gcc.dg/tree-ssa/long-mul-chain-trunc-128.c: New test.
        * gcc.target/arm/long-mul-thumb1-inline.c: New test.
        * gcc.target/arm/long-mul-umull.c: New test.
        * gcc.target/i386/widen_mult_high_chain.c: New test.
        * lib/target-supports.exp (check_effective_target_oi_mode):
        New; enumerates targets whose mode table declares OImode.

Co-authored-by: Philipp Tomsich <[email protected]>

Signed-off-by: Konstantinos Eleftheriou <[email protected]>
---

Changes in v7:
- Split the single long-multiply fold (was 1/2) into five patches: a
  base patch carrying the framework and the carry form, then one
  patch each for the carry-low-sum, two-carry, ladder and low-plus
  variants.  Easier to review and to bisect a variant in isolation.
  The PHI-form recognition follows as 6/7, unchanged from v6's 2/2.
- New 7/7: lower the emitted high-part chain to inline longhand at
  narrow precision when the target has no expansion path for the 2N
  form.  v6 only emitted a HIGH_PART when the 2N scalar mode existed
  and skipped it otherwise; v7 emits it and pairs the recognizer with
  lower_long_mul_high_chain via optimize_widening_mul_active_p, so a
  128x128 high part on a target whose mode table has OImode but no
  scalar OImode support is now built from (N/2)-wide partial products
  instead of a 2N multiply the target cannot expand.
- Refuse the HIGH_PART emit and the chain lowering for BITINT_TYPE,
  keeping the recognizer and the lowering gate symmetric.
- Add per-variant tree-ssa tests, 128-bit torture and runtime tests,
  arm thumb1 / umull inline tests, and a check_effective_target
  _oi_mode helper.

Changes in v6:
- Reorder so the long-multiply fold (was 2/2) is now 1/2 and a new
  PHI-form recognition pass is 2/2.  Reverting 2/2 leaves a working
  long-multiply fold for the flat-shifted-compare carry form.
- Drop v5's standalone flatten_cond_carry_add driver.  The same
  cond_carry_add / cond_carry_add_neg match.pd recognizers now feed
  a match_long_mul_phi entry inside the long-multiply fold, so a
  PHI-shaped carry folds straight to the wide-multiply output.
- Factor long_mul_classify_chain, long_mul_classify_match and
  build_mul_high_seq for sharing between match_long_mul and the new
  match_long_mul_phi.
- cond_carry_add_neg uses le / ge instead of gt / lt to encode the
  carry condition strictly.  v5 inverted the compare via
  invert_tree_comparison in the flatten driver; v6 synthesises the
  carry summand directly inside match_long_mul_phi and so requires
  the recogniser to encode the strict form.
- Delete forwprop-44/45/46.c; add PHI-form coverage in
  long-mul-carry.c, long-mul-two-carry.c, long-mul-boundary.c
  and long-mul-boundary-64.c.
- Add PHI-form near-miss tests in long-mul-partial.c and
  operand-swap polarity coverage in long-mul-boundary{,-64}.c.
- Refresh stale long-mul comment references (check_hilo_and_ops,
  fold_mul_low_plus) and reword mul_carry_low's :c-on-gt note to
  the correct LT form (a + b < a).

Changes in v5:
- 1/2:
  - Replace the match.pd simplify on COND_EXPR with cond_carry_add
    / cond_carry_add_neg match recognizers (cond^), split by gcond
    polarity, plus a flatten_cond_carry_add driver in
    tree-ssa-forwprop.cc.  The driver inverts the gcond's
    comparison for the _neg form.  Modelled on match_saturation_add.
  - Remove fold_cond_carry_add_profitable_p and the tm_p.h /
    predict.h includes from gimple-match-head.cc.  The width >
    MAX_FIXED_MODE_SIZE and width % 2 != 0 guards were
    prerequisites for the can_mult_highpart_p fallback path, not
    soundness checks.  type_has_mode_precision_p subsumes them.
  - Retarget the test scans from phiopt2 to forwprop1.  Add
    forwprop-46.c covering all four arm/comparison polarities.
  - forwprop-45.c uses __UINT64_TYPE__ instead of unsigned long
    and drops the lp64 restriction, covering the type > word_mode
    regime on 32-bit targets.
- 2/2:
  - Lower the high-part as (N)(((2N) op1 * (2N) op2) >> N).
    pass_optimize_widening_mul rewrites this to WIDEN_MULT_EXPR /
    MULT_HIGHPART_EXPR on supporting targets.  Removes
    can_mult_highpart_p queries from forwprop.
  - Replace the can_mult_highpart_p prefilter in match_long_mul
    with a targetm.scalar_mode_supported_p check on the 2N mode.
    Test scans select on int128, mirroring the gate, instead of
    lp64.
  - Drop the m_long_mul_fold_p pass parameter and its passes.def
    arguments.  The long-mul fold runs in every forwprop instance.
    Test scans retargeted from forwprop2 to forwprop1.
  - Stop restricting forwprop-44.c to lp64.  With the
    can_mult_highpart_p gating gone, the fold is target-independent
    and the test passes on ilp32 targets too.

Changes in v4:
- 1/2:
  - Rebuild the guard with per-conjunct reasoning: require both
    operands to be SSA names (drops degenerate one-side-constant
    cases that fold trivially elsewhere), require the type to
    have_mode_precision_p (excludes BITINT_TYPE precision != mode
    and similar oddities), drop the explicit MAX_FIXED_MODE_SIZE
    width cap (subsumed by have_mode_precision_p), and gate on the
    flat optab via can_mult_highpart_p of the 2N mode.
  - Retain BRANCH_COST >= 2: keep the flatten conditional on a
    target where the branchless form is generally cheaper.
  - Rewrite the cover letter to describe the gate as the
    composition of these conjuncts and to clarify that the
    transformation now only ever introduces a (mul_hi-like)
    can_mult_highpart_p shape, not a libgcc multi-precision call.
- 2/2:
  - Convert per-variant fold_mul_* functions into a
    table-driven long_mul fold framework.
  - Migrate each variant into a row in long_mul_table (six
    HIGH_PART, six LOW_PART rows) keyed by (kind, extract).
  - Add cross-summand consistency checks
    (long_mul_check_consistency, long_mul_check_two_carries,
    long_mul_check_low_plus_defer) shared across rows.
  - Drop emission to a libgcc multi-precision call from RTL
    expansion; defer to pass_optimize_widening_mul / RTL
    expansion to pick native umul_highpart, a widening multiply, or
    a synthesised sequence.  Emission is gated on
    can_mult_highpart_p.
  - Structural redesign: per-variant fold_mul_* functions
    consolidated into a single linearise + classify + table-lookup
    framework (long_mul_table, match_long_mul,
    long_mul_classify_summand, long_mul_check_consistency).  Each
    variant is now a row in long_mul_table; consistency checks are
    shared across rows.
  - Fast-fail prefilters in match_long_mul: LHS-type prefilter at
    entry (no legitimate long-mul leaf has a signed / pointer /
    float / odd-width type) and a can_mult_highpart_p probe before
    the row loop to skip HIGH_PART rows on unsupported targets.
  - Bound long_mul_linearize_chain mid-walk by LONG_MUL_MAX_SUMMANDS
    so an overlong addition / BIT_IOR chain bails immediately rather
    than after a full traversal.
  - Emit a dump-file hint pointing at the shared inner addition when
    long-mul folding rejects a chain because of a multi-used
    intermediate (caching the partial sum into a single-use SSA
    name normally enables the fold).

Changes in v3:
- Moved carry-diamond flattening from forwprop to match.pd,
replacing ~460 lines of C++ with a 17-line match.pd pattern.
- Two-carry test scans forwprop3 (the first forwprop after phiopt2,
since early phiopt restricts which tree codes are allowed).
- Set location for new sequences.
- Updated mul_carry_low pattern.
- Added the `mul_low_plus` pattern.
- Fixed formatting issues.

Changes in v2:
- Fixed the testcases by separating the high part's fold count for
32-bit and 64-bit targets.

 gcc/match.pd                                  |  25 ++
 gcc/testsuite/gcc.dg/torture/long-mul-128.c   | 105 ++++++++
 .../gcc.dg/tree-ssa/long-mul-carry.c          |  10 +-
 .../gcc.dg/tree-ssa/long-mul-chain-cse-128.c  |  52 ++++
 .../tree-ssa/long-mul-chain-trunc-128.c       |  80 ++++++
 .../gcc.dg/tree-ssa/long-mul-ladder.c         |  18 +-
 .../gcc.target/arm/long-mul-thumb1-inline.c   |  31 +++
 gcc/testsuite/gcc.target/arm/long-mul-umull.c |  46 ++++
 .../gcc.target/i386/widen_mult_high_chain.c   |  32 +++
 gcc/testsuite/lib/target-supports.exp         |  20 ++
 gcc/tree-ssa-forwprop.cc                      |  20 +-
 gcc/tree-ssa-math-opts.cc                     | 244 +++++++++++++++++-
 gcc/tree-ssa-math-opts.h                      |   2 +
 13 files changed, 667 insertions(+), 18 deletions(-)
 create mode 100644 gcc/testsuite/gcc.dg/torture/long-mul-128.c
 create mode 100644 gcc/testsuite/gcc.dg/tree-ssa/long-mul-chain-cse-128.c
 create mode 100644 gcc/testsuite/gcc.dg/tree-ssa/long-mul-chain-trunc-128.c
 create mode 100644 gcc/testsuite/gcc.target/arm/long-mul-thumb1-inline.c
 create mode 100644 gcc/testsuite/gcc.target/arm/long-mul-umull.c
 create mode 100644 gcc/testsuite/gcc.target/i386/widen_mult_high_chain.c

diff --git a/gcc/match.pd b/gcc/match.pd
index 063315d398c0..884ba608f385 100644
--- a/gcc/match.pd
+++ b/gcc/match.pd
@@ -12335,6 +12335,31 @@ and,
       (mul_lo @mul_hilo0 INTEGER_CST@0)
       (mul_hi (mul_lolo @op0 @op1 INTEGER_CST@0) INTEGER_CST@1))
     (mul_lo @mul_hilo1 INTEGER_CST@0)))
+/* Long-multiply high-part emit chain produced by forwprop's recognizer:
+
+     (N) ((2N) op1 * (2N) op2) >> N
+
+   Captures the two N-bit operands.  The outermost convert's result
+   type is unconstrained (conversion merging may retarget it).
+   Wide type must be unsigned; BITINT_TYPE is refused.  */
+(match (long_mul_high_chain @0 @1)
+  (convert (rshift (mult:c@3 (convert @0) (convert @1)) INTEGER_CST@2))
+  (with {
+    tree narrow_type = TREE_TYPE (@0);
+    tree wide_type = TREE_TYPE (@3); }
+  (if (INTEGRAL_TYPE_P (narrow_type)
+       && TYPE_UNSIGNED (narrow_type)
+       && type_has_mode_precision_p (narrow_type)
+       && TYPE_PRECISION (narrow_type) >= 4
+       && (TYPE_PRECISION (narrow_type) & 1) == 0
+       && types_match (TREE_TYPE (@1), narrow_type)
+       && INTEGRAL_TYPE_P (wide_type)
+       && TYPE_UNSIGNED (wide_type)
+       && TREE_CODE (narrow_type) != BITINT_TYPE
+       && TREE_CODE (wide_type) != BITINT_TYPE
+       && TYPE_PRECISION (wide_type) == 2 * TYPE_PRECISION (narrow_type)
+       && tree_fits_uhwi_p (@2)
+       && tree_to_uhwi (@2) == TYPE_PRECISION (narrow_type)))))
 #endif
 
 /* Floatint point/integer comparison and integer->integer
diff --git a/gcc/testsuite/gcc.dg/torture/long-mul-128.c 
b/gcc/testsuite/gcc.dg/torture/long-mul-128.c
new file mode 100644
index 000000000000..aa6f90707ec4
--- /dev/null
+++ b/gcc/testsuite/gcc.dg/torture/long-mul-128.c
@@ -0,0 +1,105 @@
+/* { dg-do run { target int128 } } */
+
+/* Runtime correctness for the full 128-bit pipeline: forwprop folds the
+   longhand to (u256) x * (u256) y >> 128 and widening_mul lowers it back
+   to a 128-bit longhand.  mulh_reference stays unfolded via volatiles.  */
+
+typedef __uint128_t u128;
+
+/* The recognized longhand high-part multiply, shared by the callers below.
+   static inline so each caller inlines a copy, exposing its own chain to
+   forwprop.  */
+static inline u128
+mulh_inline (u128 x, u128 y)
+{
+  u128 x_hi = x >> 64;
+  u128 x_lo = x & (u128)0xFFFFFFFFFFFFFFFF;
+  u128 y_hi = y >> 64;
+  u128 y_lo = y & (u128)0xFFFFFFFFFFFFFFFF;
+  u128 mulhilo = x_hi * y_lo;
+  u128 mullohi = x_lo * y_hi;
+  u128 cross_sum = mulhilo + mullohi;
+  u128 mullolo = x_lo * y_lo;
+  u128 shrlolo = mullolo >> 64;
+  u128 add_cross_sum = cross_sum + shrlolo;
+  int carry = add_cross_sum < mulhilo;
+  u128 cond = ((u128) carry << 64) + x_hi * y_hi;
+  return cond + (add_cross_sum >> 64);
+}
+
+/* Standalone folded instance (noipa keeps it distinct from the inline
+   copies), validated against the unfolded reference.  */
+__attribute__((noipa)) u128
+mulh_folded (u128 x, u128 y)
+{
+  return mulh_inline (x, y);
+}
+
+__attribute__((noipa)) u128
+mulh_reference (u128 x, u128 y)
+{
+  volatile u128 x_hi = x >> 64;
+  volatile u128 x_lo = x & (u128)0xFFFFFFFFFFFFFFFF;
+  volatile u128 y_hi = y >> 64;
+  volatile u128 y_lo = y & (u128)0xFFFFFFFFFFFFFFFF;
+  u128 mulhilo = x_hi * y_lo;
+  u128 mullohi = x_lo * y_hi;
+  u128 cross_sum = mulhilo + mullohi;
+  u128 mullolo = x_lo * y_lo;
+  u128 shrlolo = mullolo >> 64;
+  u128 add_cross_sum = cross_sum + shrlolo;
+  int carry = add_cross_sum < mulhilo;
+  u128 cond = ((u128) carry << 64) + x_hi * y_hi;
+  return cond + (add_cross_sum >> 64);
+}
+
+/* Two mulh calls sharing an operand: inlining exposes both chains and
+   VN CSEs the shared (u256) cast.  Guard that lowering the first chain
+   does not free a cast the second still references.  */
+__attribute__((noipa)) u128
+mulh_shared_xor (u128 x, u128 y, u128 z)
+{
+  return mulh_inline (x, y) ^ mulh_inline (x, z);
+}
+
+/* Squaring: VN CSEs the two (u256) casts of x, so lowering sees the
+   same stmt on both operand-cast slots.  */
+__attribute__((noipa)) u128
+mulh_square (u128 x)
+{
+  return mulh_inline (x, x);
+}
+
+int
+main (void)
+{
+  static const u128 vals[] = {
+    0,
+    1,
+    (u128)0xFFFFFFFFFFFFFFFF,                  /* low half all-ones */
+    ((u128)1 << 64),                           /* 2^64 */
+    ((u128)1 << 127),                          /* high bit */
+    ~(u128)0,                                  /* all-ones */
+    ((u128)0xDEADBEEFCAFEBABE << 64) | 0x0123456789ABCDEF,
+    ((u128)0x8000000000000001 << 64) | 0xFFFFFFFFFFFFFFFE,
+  };
+  const unsigned n = sizeof (vals) / sizeof (vals[0]);
+
+  for (unsigned i = 0; i < n; i++)
+    for (unsigned j = 0; j < n; j++)
+      {
+       u128 x = vals[i], y = vals[j];
+       if (mulh_folded (x, y) != mulh_reference (x, y))
+         __builtin_abort ();
+       for (unsigned k = 0; k < n; k++)
+         {
+           u128 z = vals[k];
+           u128 want = mulh_reference (x, y) ^ mulh_reference (x, z);
+           if (mulh_shared_xor (x, y, z) != want)
+             __builtin_abort ();
+         }
+       if (mulh_square (x) != mulh_reference (x, x))
+         __builtin_abort ();
+      }
+  return 0;
+}
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/long-mul-carry.c 
b/gcc/testsuite/gcc.dg/tree-ssa/long-mul-carry.c
index b63e077e7aa4..304e8bfded15 100644
--- a/gcc/testsuite/gcc.dg/tree-ssa/long-mul-carry.c
+++ b/gcc/testsuite/gcc.dg/tree-ssa/long-mul-carry.c
@@ -1,5 +1,5 @@
 /* { dg-do compile } */
-/* { dg-options "-O3 -fdump-tree-forwprop-details" } */
+/* { dg-options "-O3 -fdump-tree-forwprop-details 
-fdump-tree-widening_mul-details" } */
 
 typedef __UINT32_TYPE__ uint32_t;
 typedef __UINT64_TYPE__ uint64_t;
@@ -372,10 +372,14 @@ uint32_t mulh_carry_phi_neg (uint32_t x, uint32_t y)
 /* On targets with __int128 support the two 128-bit highparts also
    fold; without it they are elided by #ifdef and the count drops
    by 2.  */
-/* { dg-final { scan-tree-dump-times "Long multiplication high part folded\\." 
10 "forwprop1" { target int128 } } } */
-/* { dg-final { scan-tree-dump-times "Long multiplication high part folded\\." 
8 "forwprop1" { target { ! int128 } } } } */
+/* { dg-final { scan-tree-dump-times "Long multiplication high part folded\\." 
10 "forwprop1" { target { oi_mode && int128 } } } } */
+/* { dg-final { scan-tree-dump-times "Long multiplication high part folded\\." 
8 "forwprop1" { target { ! { oi_mode && int128 } } } } } */
 /* { dg-final { scan-tree-dump-times "Long multiplication high part folded\\." 
2 "forwprop2" } } */
 /* { dg-final { scan-tree-dump-times "Long multiplication low part folded\\." 
2 "forwprop1" } } */
 /* Three PHI-form highparts, one per polarity pair (gt via mulh_carry_phi
    and mulh_carry_long_phi, le via mulh_carry_phi_neg).  */
 /* { dg-final { scan-tree-dump-times "Long multiplication high part folded 
\\(carry PHI\\)" 3 "forwprop1" } } */
+/* Only the two 128-bit (OImode) chains are lowered.  sparc64 and hppa64
+   have OImode and __int128 but no native DImode high part, so their u64
+   chains lower too and the count would exceed 2; exclude them.  */
+/* { dg-final { scan-tree-dump-times "Lowered long-mul high-part chain" 2 
"widening_mul" { target { { oi_mode && int128 } && { ! { sparc*-*-* hppa*-*-* } 
} } } } } */
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/long-mul-chain-cse-128.c 
b/gcc/testsuite/gcc.dg/tree-ssa/long-mul-chain-cse-128.c
new file mode 100644
index 000000000000..53b5eba9e2db
--- /dev/null
+++ b/gcc/testsuite/gcc.dg/tree-ssa/long-mul-chain-cse-128.c
@@ -0,0 +1,52 @@
+/* { dg-do compile { target { oi_mode && int128 } } } */
+/* { dg-options "-O3 -fdump-tree-forwprop1-details -fdump-tree-optimized" } */
+
+/* Two differently-spelled high-part longhands of the same 128x128
+   product both fold to the canonical (u256) x * (u256) y >> 128, so
+   value numbering proves them equal and the function folds to 0.  */
+
+typedef __uint128_t u128;
+
+u128 both_spellings (u128 x, u128 y)
+{
+  /* Spelling 1: overflow-compare carry form.  */
+  u128 x_hi = x >> 64;
+  u128 x_lo = x & (u128)0xFFFFFFFFFFFFFFFF;
+  u128 y_hi = y >> 64;
+  u128 y_lo = y & (u128)0xFFFFFFFFFFFFFFFF;
+  u128 mulhilo = x_hi * y_lo;
+  u128 mullohi = x_lo * y_hi;
+  u128 cross_sum = mulhilo + mullohi;
+  u128 mullolo = x_lo * y_lo;
+  u128 shrlolo = mullolo >> 64;
+  u128 add_cross_sum = cross_sum + shrlolo;
+  int carry = add_cross_sum < mulhilo;
+  u128 cond = ((u128) carry << 64) + x_hi * y_hi;
+  u128 h1 = cond + (add_cross_sum >> 64);
+
+  /* Spelling 2: ladder form.  */
+  u128 a_lo = x & (u128)0xFFFFFFFFFFFFFFFF;
+  u128 b_lo = y & (u128)0xFFFFFFFFFFFFFFFF;
+  u128 a_hi = x >> 64;
+  u128 b_hi = y >> 64;
+  u128 t0 = b_lo * a_lo;
+  u128 t1 = b_lo * a_hi;
+  u128 t2 = b_hi * a_lo;
+  u128 t3 = b_hi * a_hi;
+  u128 t0_hi = t0 >> 64;
+  u128 u0 = t0_hi + t1;
+  u128 u0_lo = u0 & (u128)0xFFFFFFFFFFFFFFFF;
+  u128 u0_hi = u0 >> 64;
+  u128 u1 = u0_lo + t2;
+  u128 u1_hi = u1 >> 64;
+  u128 u2 = u0_hi + t3;
+  u128 h2 = u2 + u1_hi;
+
+  return h1 ^ h2;
+}
+
+/* Both spellings are recognized.  */
+/* { dg-final { scan-tree-dump-times "Long multiplication high part folded." 2 
"forwprop1" } } */
+/* Once canonical, VN proves them equal and the function folds to 0.  */
+/* { dg-final { scan-tree-dump "return 0;" "optimized" } } */
+/* { dg-final { scan-tree-dump-not " \\* " "optimized" } } */
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/long-mul-chain-trunc-128.c 
b/gcc/testsuite/gcc.dg/tree-ssa/long-mul-chain-trunc-128.c
new file mode 100644
index 000000000000..00f0338df5e2
--- /dev/null
+++ b/gcc/testsuite/gcc.dg/tree-ssa/long-mul-chain-trunc-128.c
@@ -0,0 +1,80 @@
+/* { dg-do run { target int128 } } */
+/* { dg-options "-O3" } */
+
+/* A user cast of the recognized 128-bit high part merges with the
+   chain's final truncation, so widening_mul lowering sees an outermost
+   convert to a type narrower than 128 bits.  Checks it builds the
+   longhand at narrow precision and converts to the lhs type.  */
+
+typedef __uint128_t u128;
+typedef unsigned long long u64;
+typedef unsigned int u32;
+
+static inline u128
+mulh128 (u128 x, u128 y)
+{
+  u128 x_hi = x >> 64;
+  u128 x_lo = x & (u128)0xFFFFFFFFFFFFFFFF;
+  u128 y_hi = y >> 64;
+  u128 y_lo = y & (u128)0xFFFFFFFFFFFFFFFF;
+  u128 mulhilo = x_hi * y_lo;
+  u128 mullohi = x_lo * y_hi;
+  u128 cross_sum = mulhilo + mullohi;
+  u128 mullolo = x_lo * y_lo;
+  u128 shrlolo = mullolo >> 64;
+  u128 add_cross_sum = cross_sum + shrlolo;
+  int carry = add_cross_sum < mulhilo;
+  u128 cond = ((u128) carry << 64) + x_hi * y_hi;
+  return cond + (add_cross_sum >> 64);
+}
+
+__attribute__((noipa)) u64
+trunc64 (u128 x, u128 y) { return (u64) mulh128 (x, y); }
+
+__attribute__((noipa)) u32
+trunc32 (u128 x, u128 y) { return (u32) mulh128 (x, y); }
+
+__attribute__((noipa)) u128
+mulh_reference (u128 x, u128 y)
+{
+  volatile u128 x_hi = x >> 64;
+  volatile u128 x_lo = x & (u128)0xFFFFFFFFFFFFFFFF;
+  volatile u128 y_hi = y >> 64;
+  volatile u128 y_lo = y & (u128)0xFFFFFFFFFFFFFFFF;
+  u128 mulhilo = x_hi * y_lo;
+  u128 mullohi = x_lo * y_hi;
+  u128 cross_sum = mulhilo + mullohi;
+  u128 mullolo = x_lo * y_lo;
+  u128 shrlolo = mullolo >> 64;
+  u128 add_cross_sum = cross_sum + shrlolo;
+  int carry = add_cross_sum < mulhilo;
+  u128 cond = ((u128) carry << 64) + x_hi * y_hi;
+  return cond + (add_cross_sum >> 64);
+}
+
+int
+main (void)
+{
+  static const u128 vals[] = {
+    0,
+    1,
+    (u128)0xFFFFFFFFFFFFFFFF,
+    ((u128)1 << 64),
+    ((u128)1 << 127),
+    ~(u128)0,
+    ((u128)0xDEADBEEFCAFEBABE << 64) | 0x0123456789ABCDEF,
+    ((u128)0x8000000000000001 << 64) | 0xFFFFFFFFFFFFFFFE,
+  };
+  const unsigned n = sizeof (vals) / sizeof (vals[0]);
+
+  for (unsigned i = 0; i < n; i++)
+    for (unsigned j = 0; j < n; j++)
+      {
+       u128 ref = mulh_reference (vals[i], vals[j]);
+       if (trunc64 (vals[i], vals[j]) != (u64) ref)
+         __builtin_abort ();
+       if (trunc32 (vals[i], vals[j]) != (u32) ref)
+         __builtin_abort ();
+      }
+  return 0;
+}
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/long-mul-ladder.c 
b/gcc/testsuite/gcc.dg/tree-ssa/long-mul-ladder.c
index 36eadd05aae1..7b7384d86455 100644
--- a/gcc/testsuite/gcc.dg/tree-ssa/long-mul-ladder.c
+++ b/gcc/testsuite/gcc.dg/tree-ssa/long-mul-ladder.c
@@ -1,5 +1,5 @@
 /* { dg-do compile } */
-/* { dg-options "-O3 -fdump-tree-forwprop-details" } */
+/* { dg-options "-O3 -fdump-tree-forwprop-details 
-fdump-tree-widening_mul-details" } */
 
 typedef __UINT32_TYPE__ uint32_t;
 typedef __UINT64_TYPE__ uint64_t;
@@ -321,9 +321,13 @@ v2i32 mul_ladder_long_v2i32 (v2i32 x, v2i32 y)
     return result;
 }
 
-/* On LP64 the __int128-guarded highpart also folds; on non-LP64 it
-   is elided by #ifdef and the count drops by 2.  */
-/* { dg-final { scan-tree-dump-times "Long multiplication high part folded." 8 
"forwprop1" { target lp64 } } } */
-/* { dg-final { scan-tree-dump-times "Long multiplication high part folded." 5 
"forwprop1" { target { ! lp64 } } } } */
-/* { dg-final { scan-tree-dump-times "Long multiplication high part folded." 2 
"forwprop2" } } */
-/* { dg-final { scan-tree-dump-times "Long multiplication low part folded." 2 
"forwprop1" } } */
+/* On targets with __int128 support the 128-bit highpart also folds;
+   without it it is elided by #ifdef and the count drops by 2.  */
+/* { dg-final { scan-tree-dump-times "Long multiplication high part folded\\." 
10 "forwprop1" { target { oi_mode && int128 } } } } */
+/* { dg-final { scan-tree-dump-times "Long multiplication high part folded\\." 
8 "forwprop1" { target { ! { oi_mode && int128 } } } } } */
+/* { dg-final { scan-tree-dump-times "Long multiplication high part folded\\." 
2 "forwprop2" } } */
+/* { dg-final { scan-tree-dump-times "Long multiplication low part folded\\." 
2 "forwprop1" } } */
+/* Only the two 128-bit (OImode) chains are lowered.  sparc64 and hppa64
+   have OImode and __int128 but no native DImode high part, so their u64
+   chains lower too and the count would exceed 2; exclude them.  */
+/* { dg-final { scan-tree-dump-times "Lowered long-mul high-part chain" 2 
"widening_mul" { target { { oi_mode && int128 } && { ! { sparc*-*-* hppa*-*-* } 
} } } } } */
diff --git a/gcc/testsuite/gcc.target/arm/long-mul-thumb1-inline.c 
b/gcc/testsuite/gcc.target/arm/long-mul-thumb1-inline.c
new file mode 100644
index 000000000000..56e3bd383d73
--- /dev/null
+++ b/gcc/testsuite/gcc.target/arm/long-mul-thumb1-inline.c
@@ -0,0 +1,31 @@
+/* { dg-do compile } */
+/* { dg-require-effective-target arm_thumb1_ok } */
+/* { dg-options "-O2 -mthumb -mcpu=cortex-m0 -fdump-tree-forwprop1-details 
-fdump-tree-widening_mul-details" } */
+
+/* Thumb-1 (cortex-m0) has no umull and no DImode multiply, so a DImode
+   multiply would expand to the __aeabi_lmul libcall.  widening_mul
+   re-synthesizes the recognized u32 high part from the HImode widening
+   multiply Thumb-1 does have, so no libcall is emitted.  */
+
+typedef __UINT32_TYPE__ u32;
+
+u32 mulh32 (u32 x, u32 y)
+{
+  u32 x_hi = x >> 16, x_lo = x & 0xFFFF;
+  u32 y_hi = y >> 16, y_lo = y & 0xFFFF;
+  u32 mulhilo = x_hi * y_lo;
+  u32 mullohi = x_lo * y_hi;
+  u32 cross_sum = mulhilo + mullohi;
+  u32 mullolo = x_lo * y_lo;
+  u32 shrlolo = mullolo >> 16;
+  u32 acs = cross_sum + shrlolo;
+  int carry = acs < mulhilo;
+  u32 cond = ((u32) carry << 16) + x_hi * y_hi;
+  return cond + (acs >> 16);
+}
+
+/* Recognizer canonicalizes; widening_mul re-synthesizes the longhand.  */
+/* { dg-final { scan-tree-dump "Long multiplication high part folded" 
"forwprop1" } } */
+/* { dg-final { scan-tree-dump "Lowered long-mul high-part chain" 
"widening_mul" } } */
+/* No multiplication libcall: the longhand stays inline.  */
+/* { dg-final { scan-assembler-not "__aeabi_lmul" } } */
diff --git a/gcc/testsuite/gcc.target/arm/long-mul-umull.c 
b/gcc/testsuite/gcc.target/arm/long-mul-umull.c
new file mode 100644
index 000000000000..7366e06bb789
--- /dev/null
+++ b/gcc/testsuite/gcc.target/arm/long-mul-umull.c
@@ -0,0 +1,46 @@
+/* { dg-do compile } */
+/* { dg-require-effective-target arm_arm_ok } */
+/* { dg-options "-O2 -marm" } */
+
+/* With umull available, the recognizer folds the u32 high-part longhand
+   to a DImode multiply that becomes a single umull, while the u64
+   longhand becomes a TImode chain that widening_mul re-synthesizes as
+   four umull.  No libcalls.  */
+
+typedef __UINT64_TYPE__ u64;
+typedef __UINT32_TYPE__ u32;
+
+u32 mulh32 (u32 x, u32 y)
+{
+  u32 x_hi = x >> 16, x_lo = x & 0xFFFF;
+  u32 y_hi = y >> 16, y_lo = y & 0xFFFF;
+  u32 mulhilo = x_hi * y_lo;
+  u32 mullohi = x_lo * y_hi;
+  u32 cross_sum = mulhilo + mullohi;
+  u32 mullolo = x_lo * y_lo;
+  u32 shrlolo = mullolo >> 16;
+  u32 acs = cross_sum + shrlolo;
+  int carry = acs < mulhilo;
+  u32 cond = ((u32) carry << 16) + x_hi * y_hi;
+  return cond + (acs >> 16);
+}
+
+u64 mulh64 (u64 x, u64 y)
+{
+  u64 x_hi = x >> 32, x_lo = x & 0xFFFFFFFF;
+  u64 y_hi = y >> 32, y_lo = y & 0xFFFFFFFF;
+  u64 mulhilo = x_hi * y_lo;
+  u64 mullohi = x_lo * y_hi;
+  u64 cross_sum = mulhilo + mullohi;
+  u64 mullolo = x_lo * y_lo;
+  u64 shrlolo = mullolo >> 32;
+  u64 acs = cross_sum + shrlolo;
+  int carry = acs < mulhilo;
+  u64 cond = ((u64) carry << 32) + x_hi * y_hi;
+  return cond + (acs >> 32);
+}
+
+/* mulh32 collapses to one umull; mulh64 lowers to four.  */
+/* { dg-final { scan-assembler-times "\tumull\t" 5 } } */
+/* { dg-final { scan-assembler-not "__aeabi_lmul" } } */
+/* { dg-final { scan-assembler-not "__multi3" } } */
diff --git a/gcc/testsuite/gcc.target/i386/widen_mult_high_chain.c 
b/gcc/testsuite/gcc.target/i386/widen_mult_high_chain.c
new file mode 100644
index 000000000000..7cfa42c9b3a5
--- /dev/null
+++ b/gcc/testsuite/gcc.target/i386/widen_mult_high_chain.c
@@ -0,0 +1,32 @@
+/* { dg-do compile { target { lp64 } } } */
+/* { dg-options "-O3" } */
+
+/* The high 128 bits of a 128 x 128 -> 256 product has no widening
+   multiply (no TI x TI -> OI) and no 256-bit expansion path.  forwprop
+   folds the longhand to the canonical (uint256_t) a * (uint256_t) b
+   >> 128 shape, and widening_mul re-synthesizes it from four
+   64 x 64 -> 128 multiplies (mulq).  No __mulOI3 libcall.  */
+
+__uint128_t
+mulh_carry_128 (__uint128_t x, __uint128_t y)
+{
+    __uint128_t x_hi = x >> 64;
+    __uint128_t x_lo = x & (__uint128_t) 0xFFFFFFFFFFFFFFFF;
+    __uint128_t y_hi = y >> 64;
+    __uint128_t y_lo = y & (__uint128_t) 0xFFFFFFFFFFFFFFFF;
+    __uint128_t mulhilo = x_hi * y_lo;
+    __uint128_t mullohi = x_lo * y_hi;
+    __uint128_t cross_sum = mulhilo + mullohi;
+    __uint128_t mullolo = x_lo * y_lo;
+    __uint128_t shrlolo = mullolo >> 64;
+    __uint128_t add_cross_sum = cross_sum + shrlolo;
+    int carry = add_cross_sum < mulhilo;
+    __uint128_t cond = ((__uint128_t) carry << 64) + x_hi * y_hi;
+    __uint128_t add = cond + (add_cross_sum >> 64);
+
+    return add;
+}
+
+/* { dg-final { scan-assembler-not "__multi3" } } */
+/* { dg-final { scan-assembler-not "__mulOI3" } } */
+/* { dg-final { scan-assembler-times "\tmulq" 4 } } */
diff --git a/gcc/testsuite/lib/target-supports.exp 
b/gcc/testsuite/lib/target-supports.exp
index cab72c8a9e10..39e074c60073 100644
--- a/gcc/testsuite/lib/target-supports.exp
+++ b/gcc/testsuite/lib/target-supports.exp
@@ -4954,6 +4954,26 @@ proc check_effective_target_int128 { } {
     }]
 }
 
+# Return 1 if the target's mode table includes OImode (a 256-bit
+# scalar_int_mode).  Enumerated from `INT_MODE (OI, 32)' declarations
+# in gcc/config/*/*-modes.def.
+
+proc check_effective_target_oi_mode { } {
+    return [check_cached_effective_target oi_mode {
+       expr { [istarget aarch64*-*-*]
+              || [istarget i?86-*-*]
+              || [istarget x86_64-*-*]
+              || [istarget riscv*-*-*]
+              || [istarget sparc*-*-*]
+              || [istarget s390*-*-*]
+              || [istarget loongarch*-*-*]
+              || [istarget arm*-*-*]
+              || [istarget alpha*-*-*]
+              || [istarget ia64-*-*]
+              || [istarget hppa*-*-*] }
+    }]
+}
+
 # Return 1 if the target supports unsigned int->float conversion
 #
 
diff --git a/gcc/tree-ssa-forwprop.cc b/gcc/tree-ssa-forwprop.cc
index 95f83e60f25d..8aeba51bf7f3 100644
--- a/gcc/tree-ssa-forwprop.cc
+++ b/gcc/tree-ssa-forwprop.cc
@@ -58,6 +58,7 @@ along with GCC; see the file COPYING3.  If not see
 #include "tree-ssa.h"
 #include "gimple-range.h"
 #include "tree-ssa-dce.h"
+#include "tree-ssa-math-opts.h"
 
 /* This pass propagates the RHS of assignment statements into use
    sites of the LHS of the assignment.  It's basically a specialized
@@ -4463,15 +4464,20 @@ long_mul_classify_match (const vec<long_mul_summand> 
&summands,
                         gimple *candidate_stmt,
                         tree *out_op0, tree *out_op1)
 {
-  /* HIGH_PART rows emit a 2N-bit multiply that is consumed by
-     pass_optimize_widening_mul (WIDEN_MULT_EXPR conversion or
-     longhand re-synthesis) or by expand (supported 2N mode);
-     LOW_PART rows emit a plain MULT_EXPR.  Emission needs only a 2N
-     mode to exist in the mode table -- capability is settled on the
-     lowering side.  */
+  /* HIGH_PART rows emit a 2N-bit multiply that pass_optimize
+     _widening_mul consumes -- either via WIDEN_MULT_EXPR /
+     MULT_HIGHPART conversion when the target has a native 2N
+     multiply, or via lower_long_mul_high_chain when it does not.
+     LOW_PART rows emit a plain MULT_EXPR.  Emission needs a 2N
+     mode to exist in the mode table AND the widening_mul pass to
+     be active: without the pass, the emit could reach RTL expand
+     as an unexpandable 2N multiply (e.g. OImode).  BITINT_TYPE is
+     refused -- the long_mul_high_chain atom excludes it.  */
   scalar_int_mode mode, wide_mode;
   bool can_emit_high
-    = is_a <scalar_int_mode> (TYPE_MODE (lhs_type), &mode)
+    = optimize_widening_mul_active_p ()
+      && TREE_CODE (lhs_type) != BITINT_TYPE
+      && is_a <scalar_int_mode> (TYPE_MODE (lhs_type), &mode)
       && GET_MODE_2XWIDER_MODE (mode).exists (&wide_mode);
 
   for (const long_mul_row &row : long_mul_table)
diff --git a/gcc/tree-ssa-math-opts.cc b/gcc/tree-ssa-math-opts.cc
index c4a1d7bcf0bd..fb0e068798d6 100644
--- a/gcc/tree-ssa-math-opts.cc
+++ b/gcc/tree-ssa-math-opts.cc
@@ -6541,6 +6541,238 @@ optimize_spaceship (gcond *stmt)
 }
 
 
+/* Long-multiply inverse-lowering helper.
+
+   The forwprop long-multiply recognizer canonicalizes a hand-written
+   longhand high-part multiply into a cast+mult+shift+cast chain
+   `(N) ((2N) a * (2N) b) >> N'.  When the target lacks an expansion
+   path for the wide form, `lower_long_mul_high_chain' resynthesizes
+   the longhand at narrow precision via `build_long_mul_partials'.  */
+
+/* Test whether the target supports an (HALF)-by-(HALF)->NARROW unsigned
+   widening multiply.  Returns true on success, with the half-width
+   scalar int mode placed in *HALF_MODE.  */
+
+static bool
+can_widen_to_narrow_p (scalar_int_mode narrow_mode, unsigned int half_width,
+                      scalar_int_mode *half_mode)
+{
+  if (!int_mode_for_size (half_width, 0).exists (half_mode))
+    return false;
+  return convert_optab_handler (umul_widen_optab, narrow_mode, *half_mode)
+        != CODE_FOR_nothing;
+}
+
+/* Append to *SEQ the operand split and partial products for an unsigned
+   long multiply of OP1 by OP2 at the precision of TREE_TYPE (OP1).
+   HALF_TYPE is the (N/2)-bit unsigned type; HALF_AMT is the integer-typed
+   shift constant equal to N/2.
+
+   Outputs the four partial products via *LOLO, *HILO, *LOHI, *HIHI.
+
+   USE_WIDEN selects the partial-product form:
+     true  - cast halves to HALF_TYPE and use WIDEN_MULT_EXPR (needs
+            an (N/2)-by-(N/2)->N widening multiply optab).
+     false - mask/shift halves within the N-bit accumulator and use
+            plain MULT_EXPR; the halves fit in N/2 bits so the N-bit
+            low product is exact.  */
+
+static void
+build_long_mul_partials (gimple_seq *seq, location_t loc, tree op1, tree op2,
+                        tree half_type, tree half_amt,
+                        tree *lolo, tree *hilo, tree *lohi, tree *hihi,
+                        bool use_widen)
+{
+  tree acc_type = TREE_TYPE (op1);
+  tree op1_hi = gimple_build (seq, loc, RSHIFT_EXPR, acc_type, op1, half_amt);
+  tree op2_hi = gimple_build (seq, loc, RSHIFT_EXPR, acc_type, op2, half_amt);
+  tree op1_lo, op2_lo;
+  tree_code mul_code;
+
+  if (use_widen)
+    {
+      op1_lo = gimple_build (seq, loc, NOP_EXPR, half_type, op1);
+      op2_lo = gimple_build (seq, loc, NOP_EXPR, half_type, op2);
+      op1_hi = gimple_build (seq, loc, NOP_EXPR, half_type, op1_hi);
+      op2_hi = gimple_build (seq, loc, NOP_EXPR, half_type, op2_hi);
+      mul_code = WIDEN_MULT_EXPR;
+    }
+  else
+    {
+      tree mask = wide_int_to_tree (acc_type,
+                                   wi::mask (TYPE_PRECISION (half_type), false,
+                                             TYPE_PRECISION (acc_type)));
+      op1_lo = gimple_build (seq, loc, BIT_AND_EXPR, acc_type, op1, mask);
+      op2_lo = gimple_build (seq, loc, BIT_AND_EXPR, acc_type, op2, mask);
+      mul_code = MULT_EXPR;
+    }
+
+  *lolo = gimple_build (seq, loc, mul_code, acc_type, op1_lo, op2_lo);
+  *hilo = gimple_build (seq, loc, mul_code, acc_type, op1_hi, op2_lo);
+  *lohi = gimple_build (seq, loc, mul_code, acc_type, op1_lo, op2_hi);
+  *hihi = gimple_build (seq, loc, mul_code, acc_type, op1_hi, op2_hi);
+}
+
+/* Match.pd recognizer for the long-multiply recognizer's high-part
+   emit chain.  */
+
+extern bool gimple_long_mul_high_chain (tree, tree *, tree (*)(tree));
+
+/* Rewrite the `long_mul_high_chain' whose tail is the statement at GSI
+
+     wide_a    = (T_2N) op1
+     wide_b    = (T_2N) op2
+     wide_prod = wide_a * wide_b
+     hi        = wide_prod >> N
+     lhs       = (convert) hi
+
+   to a longhand high-part synthesis at T_N precision via
+   `build_long_mul_partials'.  Never materializes T_2N in gimple, so it
+   covers cases where the 2N mode has no expansion path (e.g. the high
+   128 bits of a 128x128 product where 2N=OImode).  Returns true on a
+   rewrite.  */
+
+static bool
+lower_long_mul_high_chain (gimple_stmt_iterator *gsi)
+{
+  gimple *trunc_stmt = gsi_stmt (*gsi);
+  if (!is_gimple_assign (trunc_stmt))
+    return false;
+
+  tree narrow_lhs = gimple_assign_lhs (trunc_stmt);
+  tree ops[2];
+  if (!gimple_long_mul_high_chain (narrow_lhs, ops, NULL))
+    return false;
+  tree op1 = ops[0];
+  tree op2 = ops[1];
+
+  /* match.pd guarantees an integral, unsigned, mode-precision narrow
+     type with even precision >= 4 -- safe to drop straight into a
+     scalar_int_mode.  */
+  tree narrow_type = TREE_TYPE (op1);
+  scalar_int_mode narrow_mode
+    = as_a <scalar_int_mode> (TYPE_MODE (narrow_type));
+
+  /* Lower only when the target cannot form the N-bit high part itself.  */
+  if (can_mult_highpart_p (narrow_mode, true))
+    return false;
+
+  unsigned int half_width = GET_MODE_PRECISION (narrow_mode) / 2;
+
+  /* Prefer widening partials; fall back to plain MULT_EXPR when the
+     target lacks the widen optab.  See `build_long_mul_partials'.  */
+  scalar_int_mode half_mode;
+  bool use_widen = can_widen_to_narrow_p (narrow_mode, half_width, &half_mode);
+
+  /* Synthesize the high-part longhand at narrow precision:
+
+       a = a_h * 2^(N/2) + a_l (a_h, a_l are (N/2)-bit halves)
+       b = b_h * 2^(N/2) + b_l
+
+       lolo = a_l * b_l                (N-bit result of an (N/2)*(N/2) product)
+       hilo = a_h * b_l
+       lohi = a_l * b_h
+       hihi = a_h * b_h
+
+       cross_sum   = hilo + lohi
+       cross_carry = ((cross_sum < hilo) ? 1 : 0) << (N/2)
+       low_accum   = (lolo >> (N/2)) + (cross_sum & mask)
+
+       result      = hihi + (cross_sum >> (N/2)) + (low_accum >> (N/2))
+                         + cross_carry.  */
+  tree half_type = build_nonstandard_integer_type (half_width, 1);
+  location_t loc = gimple_location (trunc_stmt);
+  gimple_seq seq = NULL;
+  tree half_amt = build_int_cst (integer_type_node, half_width);
+  tree half_mask = wide_int_to_tree (narrow_type,
+                                    wi::mask (half_width, false,
+                                              TYPE_PRECISION (narrow_type)));
+
+  tree lolo, hilo, lohi, hihi;
+  build_long_mul_partials (&seq, loc, op1, op2, half_type, half_amt,
+                          &lolo, &hilo, &lohi, &hihi, use_widen);
+
+  tree cross_sum = gimple_build (&seq, loc, PLUS_EXPR, narrow_type,
+                                hilo, lohi);
+  tree cross_lt = gimple_build (&seq, loc, LT_EXPR, boolean_type_node,
+                               cross_sum, hilo);
+  tree cross_lt_n = gimple_build (&seq, loc, NOP_EXPR, narrow_type,
+                                 cross_lt);
+  tree cross_carry = gimple_build (&seq, loc, LSHIFT_EXPR, narrow_type,
+                                  cross_lt_n, half_amt);
+
+  tree lolo_hi = gimple_build (&seq, loc, RSHIFT_EXPR, narrow_type,
+                              lolo, half_amt);
+  tree cross_lo = gimple_build (&seq, loc, BIT_AND_EXPR, narrow_type,
+                               cross_sum, half_mask);
+  tree low_accum = gimple_build (&seq, loc, PLUS_EXPR, narrow_type,
+                                lolo_hi, cross_lo);
+  tree low_accum_hi = gimple_build (&seq, loc, RSHIFT_EXPR, narrow_type,
+                                   low_accum, half_amt);
+  tree cross_hi = gimple_build (&seq, loc, RSHIFT_EXPR, narrow_type,
+                               cross_sum, half_amt);
+
+  tree t1 = gimple_build (&seq, loc, PLUS_EXPR, narrow_type, hihi, cross_hi);
+  tree t2 = gimple_build (&seq, loc, PLUS_EXPR, narrow_type, t1, low_accum_hi);
+
+  /* Conversion merging may have retargeted the outer convert to any
+     integral type, so build at narrow precision and convert once
+     (the high part is < 2^N, so zero-extending or truncating is
+     value-preserving).  */
+  gimple *result_stmt;
+  tree lhs_type = TREE_TYPE (narrow_lhs);
+  if (useless_type_conversion_p (lhs_type, narrow_type))
+    result_stmt = gimple_build_assign (narrow_lhs, PLUS_EXPR, t2,
+                                      cross_carry);
+  else
+    {
+      tree res = gimple_build (&seq, loc, PLUS_EXPR, narrow_type, t2,
+                              cross_carry);
+      result_stmt = gimple_build_assign (narrow_lhs, NOP_EXPR, res);
+    }
+  gimple_set_location (result_stmt, loc);
+  gimple_seq_add_stmt (&seq, result_stmt);
+
+  /* Delete each dead upstream stmt now -- LTRANS runs no DCE between
+     widening_mul and expand, and a dead 2N MULT would abort expand_mult.
+     VN can collapse the two inner (2N) casts into one stmt (x*x, or
+     cross-chain sharing between sibling chains), so guard removal on
+     the stmt still being in a BB before checking has_zero_uses.  */
+  gimple *shift_stmt
+    = SSA_NAME_DEF_STMT (gimple_assign_rhs1 (trunc_stmt));
+  gimple *mult_stmt
+    = SSA_NAME_DEF_STMT (gimple_assign_rhs1 (shift_stmt));
+  gimple *cast_a_stmt
+    = SSA_NAME_DEF_STMT (gimple_assign_rhs1 (mult_stmt));
+  gimple *cast_b_stmt
+    = SSA_NAME_DEF_STMT (gimple_assign_rhs2 (mult_stmt));
+
+  gsi_replace_with_seq (gsi, seq, true);
+
+  for (gimple *s : { shift_stmt, mult_stmt, cast_a_stmt, cast_b_stmt })
+    if (gimple_bb (s) && has_zero_uses (gimple_assign_lhs (s)))
+      {
+       gimple_stmt_iterator dgsi = gsi_for_stmt (s);
+       gsi_remove (&dgsi, true);
+       release_defs (s);
+      }
+
+  if (dump_file && (dump_flags & TDF_DETAILS))
+    fprintf (dump_file, "Lowered long-mul high-part chain.\n");
+  return true;
+}
+
+/* True when pass_optimize_widening_mul will run.  Shared with the
+   forwprop long-multiply recognizer so its wide-chain emit stays
+   paired with the lowering that rescues an unsupported 2N shape.
+   -fdisable-tree-widening_mul is not observed.  */
+
+bool
+optimize_widening_mul_active_p (void)
+{
+  return flag_expensive_optimizations && optimize;
+}
+
 /* Find integer multiplications where the operands are extended from
    smaller types, and replace the MULT_EXPR with a WIDEN_MULT_EXPR
    or MULT_HIGHPART_EXPR where appropriate.  */
@@ -6570,7 +6802,7 @@ public:
   /* opt_pass methods: */
   bool gate (function *) final override
     {
-      return flag_expensive_optimizations && optimize;
+      return optimize_widening_mul_active_p ();
     }
 
   unsigned int execute (function *) final override;
@@ -6704,6 +6936,16 @@ math_opts_dom_walker::after_dom_children (basic_block bb)
              match_unsigned_saturation_mul (&gsi, as_a<gassign *> (stmt));
              match_unsigned_saturation_trunc (&gsi, as_a<gassign *> (stmt));
              match_saturation_add_with_assign (&gsi, as_a<gassign *> (stmt));
+             /* fall-through  */
+           case CONVERT_EXPR:
+             /* The long-multiply recognizer's high-part emit ends in an
+                outer convert.  If the trailing cast+mult+shift+cast
+                chain has no expansion strategy at the 2N width, lower
+                the whole chain to a longhand high-part at narrow
+                precision.  */
+             if (gsi_stmt (gsi) == stmt
+                 && lower_long_mul_high_chain (&gsi))
+               continue;
              break;
 
            default:;
diff --git a/gcc/tree-ssa-math-opts.h b/gcc/tree-ssa-math-opts.h
index f750b52b5936..5de1697ff678 100644
--- a/gcc/tree-ssa-math-opts.h
+++ b/gcc/tree-ssa-math-opts.h
@@ -23,4 +23,6 @@ along with GCC; see the file COPYING3.  If not see
 extern tree powi_as_mults (gimple_stmt_iterator *, location_t,
                           tree, HOST_WIDE_INT);
 
+extern bool optimize_widening_mul_active_p (void);
+
 #endif  /* GCC_TREE_SSA_MATH_OPTS_H  */
-- 
2.55.0

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