[llvm] 727ee7e - [APInt] Introduce carry-less multiply primitives (#168527)

via llvm-commits llvm-commits at lists.llvm.org
Tue Nov 18 08:54:16 PST 2025


Author: Ramkumar Ramachandra
Date: 2025-11-18T16:54:12Z
New Revision: 727ee7e2f169ec60797004dfb9b29ef7ea7cc47a

URL: https://github.com/llvm/llvm-project/commit/727ee7e2f169ec60797004dfb9b29ef7ea7cc47a
DIFF: https://github.com/llvm/llvm-project/commit/727ee7e2f169ec60797004dfb9b29ef7ea7cc47a.diff

LOG: [APInt] Introduce carry-less multiply primitives (#168527)

In line with a std proposal to introduce std::clmul, and in preparation
to introduce a clmul intrinsic, implement carry-less multiply primitives
for APIntOps, clmul[rh].

Ref: https://isocpp.org/files/papers/P3642R3.html

Added: 
    

Modified: 
    llvm/include/llvm/ADT/APInt.h
    llvm/lib/Support/APInt.cpp
    llvm/unittests/ADT/APIntTest.cpp

Removed: 
    


################################################################################
diff  --git a/llvm/include/llvm/ADT/APInt.h b/llvm/include/llvm/ADT/APInt.h
index fdb3b84b73a1f..7e73cc1957c05 100644
--- a/llvm/include/llvm/ADT/APInt.h
+++ b/llvm/include/llvm/ADT/APInt.h
@@ -2440,6 +2440,27 @@ LLVM_ABI APInt fshl(const APInt &Hi, const APInt &Lo, const APInt &Shift);
 /// (4) fshr(i8 255, i8 0, i8 9)  = fshr(i8 255, i8 0, i8 1) // 9 % 8
 LLVM_ABI APInt fshr(const APInt &Hi, const APInt &Lo, const APInt &Shift);
 
+/// Perform a carry-less multiply, also known as XOR multiplication, and return
+/// low-bits. All arguments and result have the same bitwidth.
+///
+/// Examples:
+/// (1) clmul(i4 1, i4 2)   = 2
+/// (2) clmul(i4 5, i4 6)   = 14
+/// (3) clmul(i4 -4, i4 2)  = -8
+/// (4) clmul(i4 -4, i4 -5) = 4
+LLVM_ABI APInt clmul(const APInt &LHS, const APInt &RHS);
+
+/// Perform a reversed carry-less multiply.
+///
+/// clmulr(a, b) = bitreverse(clmul(bitreverse(a), bitreverse(b)))
+LLVM_ABI APInt clmulr(const APInt &LHS, const APInt &RHS);
+
+/// Perform a carry-less multiply, and return high-bits. All arguments and
+/// result have the same bitwidth.
+///
+/// clmulh(a, b) = clmulr(a, b) >> 1
+LLVM_ABI APInt clmulh(const APInt &LHS, const APInt &RHS);
+
 } // namespace APIntOps
 
 // See friend declaration above. This additional declaration is required in

diff  --git a/llvm/lib/Support/APInt.cpp b/llvm/lib/Support/APInt.cpp
index f6fd5f9ddd633..673cd867f0e45 100644
--- a/llvm/lib/Support/APInt.cpp
+++ b/llvm/lib/Support/APInt.cpp
@@ -15,10 +15,10 @@
 #include "llvm/ADT/ArrayRef.h"
 #include "llvm/ADT/FoldingSet.h"
 #include "llvm/ADT/Hashing.h"
+#include "llvm/ADT/Sequence.h"
 #include "llvm/ADT/SmallString.h"
 #include "llvm/ADT/StringRef.h"
 #include "llvm/ADT/bit.h"
-#include "llvm/Config/llvm-config.h"
 #include "llvm/Support/Alignment.h"
 #include "llvm/Support/Debug.h"
 #include "llvm/Support/ErrorHandling.h"
@@ -3187,3 +3187,23 @@ APInt llvm::APIntOps::fshr(const APInt &Hi, const APInt &Lo,
     return Lo;
   return Hi.shl(Hi.getBitWidth() - ShiftAmt) | Lo.lshr(ShiftAmt);
 }
+
+APInt llvm::APIntOps::clmul(const APInt &LHS, const APInt &RHS) {
+  assert(LHS.getBitWidth() == RHS.getBitWidth());
+  unsigned BW = LHS.getBitWidth();
+  APInt Result(BW, 0);
+  for (unsigned I : seq<unsigned>(BW))
+    if (RHS[I])
+      Result ^= LHS.shl(I);
+  return Result;
+}
+
+APInt llvm::APIntOps::clmulr(const APInt &LHS, const APInt &RHS) {
+  assert(LHS.getBitWidth() == RHS.getBitWidth());
+  return clmul(LHS.reverseBits(), RHS.reverseBits()).reverseBits();
+}
+
+APInt llvm::APIntOps::clmulh(const APInt &LHS, const APInt &RHS) {
+  assert(LHS.getBitWidth() == RHS.getBitWidth());
+  return clmulr(LHS, RHS).lshr(1);
+}

diff  --git a/llvm/unittests/ADT/APIntTest.cpp b/llvm/unittests/ADT/APIntTest.cpp
index ca9f9f17ee112..4cb537da72e87 100644
--- a/llvm/unittests/ADT/APIntTest.cpp
+++ b/llvm/unittests/ADT/APIntTest.cpp
@@ -3823,4 +3823,87 @@ TEST(APIntTest, Fshr) {
             -8193);
 }
 
+TEST(APIntTest, clmul) {
+  EXPECT_EQ(APIntOps::clmul(APInt(4, 1), APInt(4, 2)).getZExtValue(), 2U);
+  EXPECT_EQ(APIntOps::clmul(APInt(4, 5), APInt(4, 6)).getZExtValue(), 14U);
+  EXPECT_EQ(APIntOps::clmul(APInt(4, -4, /*isSigned*/ true),
+                            APInt(4, 2, /*isSigned*/ false))
+                .getSExtValue(),
+            -8);
+  EXPECT_EQ(APIntOps::clmul(APInt(4, -4, /*isSigned*/ true),
+                            APInt(4, -5, /*isSigned*/ true))
+                .getSExtValue(),
+            4);
+  EXPECT_EQ(APIntOps::clmul(APInt(8, 0), APInt(8, 255)).getZExtValue(), 0U);
+  EXPECT_EQ(APIntOps::clmul(APInt(8, 15), APInt(8, 15)).getZExtValue(), 85U);
+  EXPECT_EQ(APIntOps::clmul(APInt(8, 1), APInt(8, 2)).getZExtValue(), 2U);
+  EXPECT_EQ(APIntOps::clmul(APInt(64, 0, /*isSigned*/ true),
+                            APInt(64, 9223372036854775807, /*isSigned*/ true))
+                .getSExtValue(),
+            0);
+  EXPECT_EQ(APIntOps::clmul(APInt(64, 1, /*isSigned*/ true),
+                            APInt(64, 2, /*isSigned*/ true))
+                .getSExtValue(),
+            2);
+  EXPECT_EQ(APIntOps::clmul(APInt(16, -2, /*isSigned*/ true),
+                            APInt(16, -1, /*isSigned*/ true))
+                .getSExtValue(),
+            -21846);
+}
+
+TEST(APIntTest, clmulr) {
+  EXPECT_EQ(APIntOps::clmulr(APInt(4, 1), APInt(4, 2)).getZExtValue(), 0U);
+  EXPECT_EQ(APIntOps::clmulr(APInt(4, 5), APInt(4, 6)).getZExtValue(), 3U);
+  EXPECT_EQ(APIntOps::clmulr(APInt(4, -4, /*isSigned*/ true),
+                             APInt(4, 2, /*isSigned*/ false))
+                .getSExtValue(),
+            3);
+  EXPECT_EQ(APIntOps::clmulr(APInt(4, -4, /*isSigned*/ true),
+                             APInt(4, -5, /*isSigned*/ true))
+                .getSExtValue(),
+            -2);
+  EXPECT_EQ(APIntOps::clmulr(APInt(8, 0), APInt(8, 255)).getZExtValue(), 0U);
+  EXPECT_EQ(APIntOps::clmulr(APInt(8, 15), APInt(8, 15)).getZExtValue(), 0U);
+  EXPECT_EQ(APIntOps::clmulr(APInt(8, 1), APInt(8, 2)).getZExtValue(), 0U);
+  EXPECT_EQ(APIntOps::clmulr(APInt(64, 0, /*isSigned*/ true),
+                             APInt(64, 9223372036854775807, /*isSigned*/ true))
+                .getSExtValue(),
+            0);
+  EXPECT_EQ(APIntOps::clmulr(APInt(64, 1, /*isSigned*/ true),
+                             APInt(64, 2, /*isSigned*/ true))
+                .getSExtValue(),
+            0);
+  EXPECT_EQ(APIntOps::clmulr(APInt(16, -2, /*isSigned*/ true),
+                             APInt(16, -1, /*isSigned*/ true))
+                .getSExtValue(),
+            -21845);
+}
+
+TEST(APIntTest, clmulh) {
+  EXPECT_EQ(APIntOps::clmulh(APInt(4, 1), APInt(4, 2)).getZExtValue(), 0U);
+  EXPECT_EQ(APIntOps::clmulh(APInt(4, 5), APInt(4, 6)).getZExtValue(), 1U);
+  EXPECT_EQ(APIntOps::clmulh(APInt(4, -4, /*isSigned*/ true),
+                             APInt(4, 2, /*isSigned*/ false))
+                .getSExtValue(),
+            1);
+  EXPECT_EQ(APIntOps::clmulh(APInt(4, -4, /*isSigned*/ true),
+                             APInt(4, -5, /*isSigned*/ true))
+                .getSExtValue(),
+            7);
+  EXPECT_EQ(APIntOps::clmulh(APInt(8, 0), APInt(8, 255)).getZExtValue(), 0U);
+  EXPECT_EQ(APIntOps::clmulh(APInt(8, 15), APInt(8, 15)).getZExtValue(), 0U);
+  EXPECT_EQ(APIntOps::clmulh(APInt(8, 1), APInt(8, 2)).getZExtValue(), 0U);
+  EXPECT_EQ(APIntOps::clmulh(APInt(64, 0, /*isSigned*/ true),
+                             APInt(64, 9223372036854775807, /*isSigned*/ true))
+                .getSExtValue(),
+            0);
+  EXPECT_EQ(APIntOps::clmulh(APInt(64, 1, /*isSigned*/ true),
+                             APInt(64, 2, /*isSigned*/ true))
+                .getSExtValue(),
+            0);
+  EXPECT_EQ(APIntOps::clmulh(APInt(16, -2, /*isSigned*/ true),
+                             APInt(16, -1, /*isSigned*/ true))
+                .getSExtValue(),
+            21845);
+}
 } // end anonymous namespace


        


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