[InstCombine] factor difference-of-squares to reduce multiplication
(X * X) - (Y * Y) --> (X + Y) * (X - Y) https://alive2.llvm.org/ce/z/BAuRCf The no-wrap propagation could be relaxed in some cases, but there does not seem to be an obvious rule for that.
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@@ -2372,6 +2372,22 @@ Instruction *InstCombinerImpl::visitSub(BinaryOperator &I) {
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I, Builder.CreateIntrinsic(Intrinsic::ctpop, {I.getType()},
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{Builder.CreateNot(X)}));
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// Reduce multiplies for difference-of-squares by factoring:
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// (X * X) - (Y * Y) --> (X + Y) * (X - Y)
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if (match(Op0, m_OneUse(m_Mul(m_Value(X), m_Deferred(X)))) &&
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match(Op1, m_OneUse(m_Mul(m_Value(Y), m_Deferred(Y))))) {
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auto *OBO0 = cast<OverflowingBinaryOperator>(Op0);
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auto *OBO1 = cast<OverflowingBinaryOperator>(Op1);
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bool PropagateNSW = I.hasNoSignedWrap() && OBO0->hasNoSignedWrap() &&
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OBO1->hasNoSignedWrap();
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bool PropagateNUW = I.hasNoUnsignedWrap() && OBO0->hasNoUnsignedWrap() &&
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OBO1->hasNoUnsignedWrap();
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Value *Add = Builder.CreateAdd(X, Y, "add", PropagateNUW, PropagateNSW);
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Value *Sub = Builder.CreateSub(X, Y, "sub", PropagateNUW, PropagateNSW);
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Value *Mul = Builder.CreateMul(Add, Sub, "", PropagateNUW, PropagateNSW);
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return replaceInstUsesWith(I, Mul);
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}
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return TryToNarrowDeduceFlags();
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}
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@@ -2390,11 +2390,13 @@ define <2 x i8> @sub_to_and_vector4(<2 x i8> %x) {
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ret <2 x i8> %r
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}
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; (X * X) - (Y * Y) --> (X + Y) * (X - Y)
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define i8 @diff_of_squares(i8 %x, i8 %y) {
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; CHECK-LABEL: @diff_of_squares(
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; CHECK-NEXT: [[X2:%.*]] = mul i8 [[X:%.*]], [[X]]
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; CHECK-NEXT: [[Y2:%.*]] = mul i8 [[Y:%.*]], [[Y]]
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; CHECK-NEXT: [[R:%.*]] = sub i8 [[X2]], [[Y2]]
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; CHECK-NEXT: [[ADD:%.*]] = add i8 [[X:%.*]], [[Y:%.*]]
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; CHECK-NEXT: [[SUB:%.*]] = sub i8 [[X]], [[Y]]
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; CHECK-NEXT: [[R:%.*]] = mul i8 [[ADD]], [[SUB]]
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; CHECK-NEXT: ret i8 [[R]]
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;
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%x2 = mul i8 %x, %x
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@@ -2403,11 +2405,13 @@ define i8 @diff_of_squares(i8 %x, i8 %y) {
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ret i8 %r
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}
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; All-or-nothing for propagation of no-wrap flags (possibly conservative)
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define i5 @diff_of_squares_nuw(i5 %x, i5 %y) {
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; CHECK-LABEL: @diff_of_squares_nuw(
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; CHECK-NEXT: [[X2:%.*]] = mul nuw i5 [[X:%.*]], [[X]]
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; CHECK-NEXT: [[Y2:%.*]] = mul nuw i5 [[Y:%.*]], [[Y]]
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; CHECK-NEXT: [[R:%.*]] = sub nuw i5 [[X2]], [[Y2]]
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; CHECK-NEXT: [[ADD:%.*]] = add nuw i5 [[X:%.*]], [[Y:%.*]]
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; CHECK-NEXT: [[SUB:%.*]] = sub nuw i5 [[X]], [[Y]]
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; CHECK-NEXT: [[R:%.*]] = mul nuw i5 [[ADD]], [[SUB]]
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; CHECK-NEXT: ret i5 [[R]]
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;
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%x2 = mul nuw i5 %x, %x
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@@ -2416,11 +2420,13 @@ define i5 @diff_of_squares_nuw(i5 %x, i5 %y) {
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ret i5 %r
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}
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; All-or-nothing for propagation of no-wrap flags (possibly conservative)
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define i5 @diff_of_squares_partial_nuw(i5 %x, i5 %y) {
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; CHECK-LABEL: @diff_of_squares_partial_nuw(
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; CHECK-NEXT: [[X2:%.*]] = mul nuw i5 [[X:%.*]], [[X]]
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; CHECK-NEXT: [[Y2:%.*]] = mul nuw i5 [[Y:%.*]], [[Y]]
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; CHECK-NEXT: [[R:%.*]] = sub i5 [[X2]], [[Y2]]
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; CHECK-NEXT: [[ADD:%.*]] = add i5 [[X:%.*]], [[Y:%.*]]
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; CHECK-NEXT: [[SUB:%.*]] = sub i5 [[X]], [[Y]]
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; CHECK-NEXT: [[R:%.*]] = mul i5 [[ADD]], [[SUB]]
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; CHECK-NEXT: ret i5 [[R]]
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;
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%x2 = mul nuw i5 %x, %x
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@@ -2429,11 +2435,13 @@ define i5 @diff_of_squares_partial_nuw(i5 %x, i5 %y) {
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ret i5 %r
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}
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; All-or-nothing for propagation of no-wrap flags (possibly conservative)
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define <2 x i5> @diff_of_squares_nsw(<2 x i5> %x, <2 x i5> %y) {
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; CHECK-LABEL: @diff_of_squares_nsw(
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; CHECK-NEXT: [[X2:%.*]] = mul nsw <2 x i5> [[X:%.*]], [[X]]
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; CHECK-NEXT: [[Y2:%.*]] = mul nsw <2 x i5> [[Y:%.*]], [[Y]]
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; CHECK-NEXT: [[R:%.*]] = sub nsw <2 x i5> [[X2]], [[Y2]]
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; CHECK-NEXT: [[ADD:%.*]] = add nsw <2 x i5> [[X:%.*]], [[Y:%.*]]
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; CHECK-NEXT: [[SUB:%.*]] = sub nsw <2 x i5> [[X]], [[Y]]
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; CHECK-NEXT: [[R:%.*]] = mul nsw <2 x i5> [[ADD]], [[SUB]]
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; CHECK-NEXT: ret <2 x i5> [[R]]
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;
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%x2 = mul nsw <2 x i5> %x, %x
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@@ -2442,11 +2450,13 @@ define <2 x i5> @diff_of_squares_nsw(<2 x i5> %x, <2 x i5> %y) {
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ret <2 x i5> %r
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}
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; All-or-nothing for propagation of no-wrap flags (possibly conservative)
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define <2 x i5> @diff_of_squares_partial_nsw(<2 x i5> %x, <2 x i5> %y) {
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; CHECK-LABEL: @diff_of_squares_partial_nsw(
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; CHECK-NEXT: [[X2:%.*]] = mul nsw <2 x i5> [[X:%.*]], [[X]]
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; CHECK-NEXT: [[Y2:%.*]] = mul <2 x i5> [[Y:%.*]], [[Y]]
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; CHECK-NEXT: [[R:%.*]] = sub nsw <2 x i5> [[X2]], [[Y2]]
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; CHECK-NEXT: [[ADD:%.*]] = add <2 x i5> [[X:%.*]], [[Y:%.*]]
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; CHECK-NEXT: [[SUB:%.*]] = sub <2 x i5> [[X]], [[Y]]
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; CHECK-NEXT: [[R:%.*]] = mul <2 x i5> [[ADD]], [[SUB]]
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; CHECK-NEXT: ret <2 x i5> [[R]]
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;
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%x2 = mul nsw <2 x i5> %x, %x
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@@ -2455,6 +2465,8 @@ define <2 x i5> @diff_of_squares_partial_nsw(<2 x i5> %x, <2 x i5> %y) {
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ret <2 x i5> %r
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}
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; negative test
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define i8 @diff_of_squares_use1(i8 %x, i8 %y) {
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; CHECK-LABEL: @diff_of_squares_use1(
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; CHECK-NEXT: [[X2:%.*]] = mul i8 [[X:%.*]], [[X]]
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@@ -2470,6 +2482,8 @@ define i8 @diff_of_squares_use1(i8 %x, i8 %y) {
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ret i8 %r
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}
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; negative test
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define i8 @diff_of_squares_use2(i8 %x, i8 %y) {
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; CHECK-LABEL: @diff_of_squares_use2(
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; CHECK-NEXT: [[X2:%.*]] = mul i8 [[X:%.*]], [[X]]
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