; NOTE: Assertions have been autogenerated by utils/update_test_checks.py ; RUN: opt < %s -passes=instcombine -S | FileCheck %s ; (~A | ~B) == ~(A & B) define i43 @demorgan_or_apint1(i43 %A, i43 %B) { ; CHECK-LABEL: @demorgan_or_apint1( ; CHECK-NEXT: [[C_DEMORGAN:%.*]] = and i43 [[A:%.*]], [[B:%.*]] ; CHECK-NEXT: [[C:%.*]] = xor i43 [[C_DEMORGAN]], -1 ; CHECK-NEXT: ret i43 [[C]] ; %NotA = xor i43 %A, -1 %NotB = xor i43 %B, -1 %C = or i43 %NotA, %NotB ret i43 %C } ; (~A | ~B) == ~(A & B) define i129 @demorgan_or_apint2(i129 %A, i129 %B) { ; CHECK-LABEL: @demorgan_or_apint2( ; CHECK-NEXT: [[C_DEMORGAN:%.*]] = and i129 [[A:%.*]], [[B:%.*]] ; CHECK-NEXT: [[C:%.*]] = xor i129 [[C_DEMORGAN]], -1 ; CHECK-NEXT: ret i129 [[C]] ; %NotA = xor i129 %A, -1 %NotB = xor i129 %B, -1 %C = or i129 %NotA, %NotB ret i129 %C } ; (~A & ~B) == ~(A | B) define i477 @demorgan_and_apint1(i477 %A, i477 %B) { ; CHECK-LABEL: @demorgan_and_apint1( ; CHECK-NEXT: [[C_DEMORGAN:%.*]] = or i477 [[A:%.*]], [[B:%.*]] ; CHECK-NEXT: [[C:%.*]] = xor i477 [[C_DEMORGAN]], -1 ; CHECK-NEXT: ret i477 [[C]] ; %NotA = xor i477 %A, -1 %NotB = xor i477 %B, -1 %C = and i477 %NotA, %NotB ret i477 %C } ; (~A & ~B) == ~(A | B) define i129 @demorgan_and_apint2(i129 %A, i129 %B) { ; CHECK-LABEL: @demorgan_and_apint2( ; CHECK-NEXT: [[C_DEMORGAN:%.*]] = or i129 [[A:%.*]], [[B:%.*]] ; CHECK-NEXT: [[C:%.*]] = xor i129 [[C_DEMORGAN]], -1 ; CHECK-NEXT: ret i129 [[C]] ; %NotA = xor i129 %A, -1 %NotB = xor i129 %B, -1 %C = and i129 %NotA, %NotB ret i129 %C } ; (~A & ~B) == ~(A | B) define i65 @demorgan_and_apint3(i65 %A, i65 %B) { ; CHECK-LABEL: @demorgan_and_apint3( ; CHECK-NEXT: [[C_DEMORGAN:%.*]] = or i65 [[A:%.*]], [[B:%.*]] ; CHECK-NEXT: [[C:%.*]] = xor i65 [[C_DEMORGAN]], -1 ; CHECK-NEXT: ret i65 [[C]] ; %NotA = xor i65 %A, -1 %NotB = xor i65 -1, %B %C = and i65 %NotA, %NotB ret i65 %C } ; (~A & ~B) == ~(A | B) define i66 @demorgan_and_apint4(i66 %A, i66 %B) { ; CHECK-LABEL: @demorgan_and_apint4( ; CHECK-NEXT: [[C_DEMORGAN:%.*]] = or i66 [[A:%.*]], [[B:%.*]] ; CHECK-NEXT: [[C:%.*]] = xor i66 [[C_DEMORGAN]], -1 ; CHECK-NEXT: ret i66 [[C]] ; %NotA = xor i66 %A, -1 %NotB = xor i66 %B, -1 %C = and i66 %NotA, %NotB ret i66 %C } ; (~A & ~B) == ~(A | B) define i47 @demorgan_and_apint5(i47 %A, i47 %B) { ; CHECK-LABEL: @demorgan_and_apint5( ; CHECK-NEXT: [[C_DEMORGAN:%.*]] = or i47 [[A:%.*]], [[B:%.*]] ; CHECK-NEXT: [[C:%.*]] = xor i47 [[C_DEMORGAN]], -1 ; CHECK-NEXT: ret i47 [[C]] ; %NotA = xor i47 %A, -1 %NotB = xor i47 %B, -1 %C = and i47 %NotA, %NotB ret i47 %C } ; This is confirming that 2 transforms work together: ; ~(~A & ~B) --> A | B define i32 @test3(i32 %A, i32 %B) { ; CHECK-LABEL: @test3( ; CHECK-NEXT: [[C_DEMORGAN:%.*]] = or i32 [[A:%.*]], [[B:%.*]] ; CHECK-NEXT: ret i32 [[C_DEMORGAN]] ; %nota = xor i32 %A, -1 %notb = xor i32 %B, -1 %c = and i32 %nota, %notb %notc = xor i32 %c, -1 ret i32 %notc } ; Invert a constant if needed: ; ~(~A & 5) --> A | ~5 define i32 @test4(i32 %A) { ; CHECK-LABEL: @test4( ; CHECK-NEXT: [[NOTC1:%.*]] = or i32 [[A:%.*]], -6 ; CHECK-NEXT: ret i32 [[NOTC1]] ; %nota = xor i32 %A, -1 %c = and i32 %nota, 5 %notc = xor i32 %c, -1 ret i32 %notc } ; Test the mirror of DeMorgan's law with an extra 'not'. ; ~(~A | ~B) --> A & B define i32 @test5(i32 %A, i32 %B) { ; CHECK-LABEL: @test5( ; CHECK-NEXT: [[C_DEMORGAN:%.*]] = and i32 [[A:%.*]], [[B:%.*]] ; CHECK-NEXT: ret i32 [[C_DEMORGAN]] ; %nota = xor i32 %A, -1 %notb = xor i32 %B, -1 %c = or i32 %nota, %notb %notc = xor i32 %c, -1 ret i32 %notc } ; Repeat with weird types for extra coverage. ; ~(~A & ~B) --> A | B define i47 @test3_apint(i47 %A, i47 %B) { ; CHECK-LABEL: @test3_apint( ; CHECK-NEXT: [[C_DEMORGAN:%.*]] = or i47 [[A:%.*]], [[B:%.*]] ; CHECK-NEXT: ret i47 [[C_DEMORGAN]] ; %nota = xor i47 %A, -1 %notb = xor i47 %B, -1 %c = and i47 %nota, %notb %notc = xor i47 %c, -1 ret i47 %notc } ; ~(~A & 5) --> A | ~5 define i61 @test4_apint(i61 %A) { ; CHECK-LABEL: @test4_apint( ; CHECK-NEXT: [[NOTA:%.*]] = and i61 [[A:%.*]], 5 ; CHECK-NEXT: [[C:%.*]] = xor i61 [[NOTA]], 5 ; CHECK-NEXT: ret i61 [[C]] ; %nota = xor i61 %A, -1 %c = and i61 %nota, 5 ; 5 = ~c2 %notc = xor i61 %c, -1 ret i61 %c } ; ~(~A | ~B) --> A & B define i71 @test5_apint(i71 %A, i71 %B) { ; CHECK-LABEL: @test5_apint( ; CHECK-NEXT: [[C_DEMORGAN:%.*]] = and i71 [[A:%.*]], [[B:%.*]] ; CHECK-NEXT: ret i71 [[C_DEMORGAN]] ; %nota = xor i71 %A, -1 %notb = xor i71 %B, -1 %c = or i71 %nota, %notb %notc = xor i71 %c, -1 ret i71 %notc } ; ~(~A & B) --> (A | ~B) define i8 @demorgan_nand(i8 %A, i8 %B) { ; CHECK-LABEL: @demorgan_nand( ; CHECK-NEXT: [[B_NOT:%.*]] = xor i8 [[B:%.*]], -1 ; CHECK-NEXT: [[NOTC:%.*]] = or i8 [[B_NOT]], [[A:%.*]] ; CHECK-NEXT: ret i8 [[NOTC]] ; %notx = xor i8 %A, -1 %c = and i8 %notx, %B %notc = xor i8 %c, -1 ret i8 %notc } ; ~(~A & B) --> (A | ~B) define i7 @demorgan_nand_apint1(i7 %A, i7 %B) { ; CHECK-LABEL: @demorgan_nand_apint1( ; CHECK-NEXT: [[B_NOT:%.*]] = xor i7 [[B:%.*]], -1 ; CHECK-NEXT: [[NOTC:%.*]] = or i7 [[B_NOT]], [[A:%.*]] ; CHECK-NEXT: ret i7 [[NOTC]] ; %nota = xor i7 %A, -1 %c = and i7 %nota, %B %notc = xor i7 %c, -1 ret i7 %notc } ; ~(~A & B) --> (A | ~B) define i117 @demorgan_nand_apint2(i117 %A, i117 %B) { ; CHECK-LABEL: @demorgan_nand_apint2( ; CHECK-NEXT: [[B_NOT:%.*]] = xor i117 [[B:%.*]], -1 ; CHECK-NEXT: [[NOTC:%.*]] = or i117 [[B_NOT]], [[A:%.*]] ; CHECK-NEXT: ret i117 [[NOTC]] ; %nota = xor i117 %A, -1 %c = and i117 %nota, %B %notc = xor i117 %c, -1 ret i117 %notc } ; ~(~A | B) --> (A & ~B) define i8 @demorgan_nor(i8 %A, i8 %B) { ; CHECK-LABEL: @demorgan_nor( ; CHECK-NEXT: [[B_NOT:%.*]] = xor i8 [[B:%.*]], -1 ; CHECK-NEXT: [[NOTC:%.*]] = and i8 [[B_NOT]], [[A:%.*]] ; CHECK-NEXT: ret i8 [[NOTC]] ; %notx = xor i8 %A, -1 %c = or i8 %notx, %B %notc = xor i8 %c, -1 ret i8 %notc } ; ~(~A | B) --> (A & ~B) - what if we use one of the intermediate results? define i8 @demorgan_nor_use2a(i8 %A, i8 %B) { ; CHECK-LABEL: @demorgan_nor_use2a( ; CHECK-NEXT: [[NOTA:%.*]] = xor i8 [[A:%.*]], -1 ; CHECK-NEXT: [[USE2A:%.*]] = mul i8 [[NOTA]], 23 ; CHECK-NEXT: [[B_NOT:%.*]] = xor i8 [[B:%.*]], -1 ; CHECK-NEXT: [[NOTC:%.*]] = and i8 [[B_NOT]], [[A]] ; CHECK-NEXT: [[R:%.*]] = sdiv i8 [[NOTC]], [[USE2A]] ; CHECK-NEXT: ret i8 [[R]] ; %nota = xor i8 %A, -1 %use2a = mul i8 %nota, 23 %c = or i8 %nota, %B %notc = xor i8 %c, -1 %r = sdiv i8 %notc, %use2a ret i8 %r } ; ~(~A | B) --> (A & ~B) - what if we use one of the intermediate results? define i8 @demorgan_nor_use2b(i8 %A, i8 %B) { ; CHECK-LABEL: @demorgan_nor_use2b( ; CHECK-NEXT: [[USE2B:%.*]] = mul i8 [[B:%.*]], 23 ; CHECK-NEXT: [[B_NOT:%.*]] = xor i8 [[B]], -1 ; CHECK-NEXT: [[NOTC:%.*]] = and i8 [[B_NOT]], [[A:%.*]] ; CHECK-NEXT: [[R:%.*]] = sdiv i8 [[NOTC]], [[USE2B]] ; CHECK-NEXT: ret i8 [[R]] ; %use2b = mul i8 %B, 23 %nota = xor i8 %A, -1 %c = or i8 %nota, %B %notc = xor i8 %c, -1 %r = sdiv i8 %notc, %use2b ret i8 %r } ; ~(~A | B) --> (A & ~B) - what if we use one of the intermediate results? define i8 @demorgan_nor_use2c(i8 %A, i8 %B) { ; CHECK-LABEL: @demorgan_nor_use2c( ; CHECK-NEXT: [[NOTA:%.*]] = xor i8 [[A:%.*]], -1 ; CHECK-NEXT: [[C:%.*]] = or i8 [[NOTA]], [[B:%.*]] ; CHECK-NEXT: [[USE2C:%.*]] = mul i8 [[C]], 23 ; CHECK-NEXT: [[NOTC:%.*]] = xor i8 [[C]], -1 ; CHECK-NEXT: [[R:%.*]] = sdiv i8 [[NOTC]], [[USE2C]] ; CHECK-NEXT: ret i8 [[R]] ; %nota = xor i8 %A, -1 %c = or i8 %nota, %B %use2c = mul i8 %c, 23 %notc = xor i8 %c, -1 %r = sdiv i8 %notc, %use2c ret i8 %r } ; ~(~A | B) --> (A & ~B) - what if we use two of the intermediate results? define i8 @demorgan_nor_use2ab(i8 %A, i8 %B) { ; CHECK-LABEL: @demorgan_nor_use2ab( ; CHECK-NEXT: [[USE2B:%.*]] = mul i8 [[B:%.*]], 23 ; CHECK-NEXT: [[NOTA:%.*]] = xor i8 [[A:%.*]], -1 ; CHECK-NEXT: [[USE2A:%.*]] = mul i8 [[NOTA]], 17 ; CHECK-NEXT: [[B_NOT:%.*]] = xor i8 [[B]], -1 ; CHECK-NEXT: [[NOTC:%.*]] = and i8 [[B_NOT]], [[A]] ; CHECK-NEXT: [[R1:%.*]] = sdiv i8 [[NOTC]], [[USE2B]] ; CHECK-NEXT: [[R2:%.*]] = sdiv i8 [[R1]], [[USE2A]] ; CHECK-NEXT: ret i8 [[R2]] ; %use2b = mul i8 %B, 23 %nota = xor i8 %A, -1 %use2a = mul i8 %nota, 17 %c = or i8 %nota, %B %notc = xor i8 %c, -1 %r1 = sdiv i8 %notc, %use2b %r2 = sdiv i8 %r1, %use2a ret i8 %r2 } ; ~(~A | B) --> (A & ~B) - what if we use two of the intermediate results? define i8 @demorgan_nor_use2ac(i8 %A, i8 %B) { ; CHECK-LABEL: @demorgan_nor_use2ac( ; CHECK-NEXT: [[NOTA:%.*]] = xor i8 [[A:%.*]], -1 ; CHECK-NEXT: [[USE2A:%.*]] = mul i8 [[NOTA]], 17 ; CHECK-NEXT: [[C:%.*]] = or i8 [[NOTA]], [[B:%.*]] ; CHECK-NEXT: [[USE2C:%.*]] = mul i8 [[C]], 23 ; CHECK-NEXT: [[NOTC:%.*]] = xor i8 [[C]], -1 ; CHECK-NEXT: [[R1:%.*]] = sdiv i8 [[NOTC]], [[USE2C]] ; CHECK-NEXT: [[R2:%.*]] = sdiv i8 [[R1]], [[USE2A]] ; CHECK-NEXT: ret i8 [[R2]] ; %nota = xor i8 %A, -1 %use2a = mul i8 %nota, 17 %c = or i8 %nota, %B %use2c = mul i8 %c, 23 %notc = xor i8 %c, -1 %r1 = sdiv i8 %notc, %use2c %r2 = sdiv i8 %r1, %use2a ret i8 %r2 } ; ~(~A | B) --> (A & ~B) - what if we use two of the intermediate results? define i8 @demorgan_nor_use2bc(i8 %A, i8 %B) { ; CHECK-LABEL: @demorgan_nor_use2bc( ; CHECK-NEXT: [[USE2B:%.*]] = mul i8 [[B:%.*]], 23 ; CHECK-NEXT: [[NOTA:%.*]] = xor i8 [[A:%.*]], -1 ; CHECK-NEXT: [[C:%.*]] = or i8 [[NOTA]], [[B]] ; CHECK-NEXT: [[USE2C:%.*]] = mul i8 [[C]], 23 ; CHECK-NEXT: [[NOTC:%.*]] = xor i8 [[C]], -1 ; CHECK-NEXT: [[R1:%.*]] = sdiv i8 [[NOTC]], [[USE2C]] ; CHECK-NEXT: [[R2:%.*]] = sdiv i8 [[R1]], [[USE2B]] ; CHECK-NEXT: ret i8 [[R2]] ; %use2b = mul i8 %B, 23 %nota = xor i8 %A, -1 %c = or i8 %nota, %B %use2c = mul i8 %c, 23 %notc = xor i8 %c, -1 %r1 = sdiv i8 %notc, %use2c %r2 = sdiv i8 %r1, %use2b ret i8 %r2 } ; Do not apply DeMorgan's Law to constants. We prefer 'not' ops. define i32 @demorganize_constant1(i32 %a) { ; CHECK-LABEL: @demorganize_constant1( ; CHECK-NEXT: [[AND:%.*]] = and i32 [[A:%.*]], 15 ; CHECK-NEXT: [[AND1:%.*]] = xor i32 [[AND]], -1 ; CHECK-NEXT: ret i32 [[AND1]] ; %and = and i32 %a, 15 %and1 = xor i32 %and, -1 ret i32 %and1 } ; Do not apply DeMorgan's Law to constants. We prefer 'not' ops. define i32 @demorganize_constant2(i32 %a) { ; CHECK-LABEL: @demorganize_constant2( ; CHECK-NEXT: [[TMP1:%.*]] = and i32 [[A:%.*]], -16 ; CHECK-NEXT: [[AND1:%.*]] = xor i32 [[TMP1]], -16 ; CHECK-NEXT: ret i32 [[AND1]] ; %and = or i32 %a, 15 %and1 = xor i32 %and, -1 ret i32 %and1 } ; PR22723: Recognize DeMorgan's Laws when obfuscated by zexts. define i32 @demorgan_or_zext(i1 %X, i1 %Y) { ; CHECK-LABEL: @demorgan_or_zext( ; CHECK-NEXT: [[OR1_DEMORGAN:%.*]] = and i1 [[X:%.*]], [[Y:%.*]] ; CHECK-NEXT: [[OR1:%.*]] = xor i1 [[OR1_DEMORGAN]], true ; CHECK-NEXT: [[OR:%.*]] = zext i1 [[OR1]] to i32 ; CHECK-NEXT: ret i32 [[OR]] ; %zextX = zext i1 %X to i32 %zextY = zext i1 %Y to i32 %notX = xor i32 %zextX, 1 %notY = xor i32 %zextY, 1 %or = or i32 %notX, %notY ret i32 %or } define i32 @demorgan_and_zext(i1 %X, i1 %Y) { ; CHECK-LABEL: @demorgan_and_zext( ; CHECK-NEXT: [[AND1_DEMORGAN:%.*]] = or i1 [[X:%.*]], [[Y:%.*]] ; CHECK-NEXT: [[AND1:%.*]] = xor i1 [[AND1_DEMORGAN]], true ; CHECK-NEXT: [[AND:%.*]] = zext i1 [[AND1]] to i32 ; CHECK-NEXT: ret i32 [[AND]] ; %zextX = zext i1 %X to i32 %zextY = zext i1 %Y to i32 %notX = xor i32 %zextX, 1 %notY = xor i32 %zextY, 1 %and = and i32 %notX, %notY ret i32 %and } define <2 x i32> @demorgan_or_zext_vec(<2 x i1> %X, <2 x i1> %Y) { ; CHECK-LABEL: @demorgan_or_zext_vec( ; CHECK-NEXT: [[OR1_DEMORGAN:%.*]] = and <2 x i1> [[X:%.*]], [[Y:%.*]] ; CHECK-NEXT: [[OR1:%.*]] = xor <2 x i1> [[OR1_DEMORGAN]], <i1 true, i1 true> ; CHECK-NEXT: [[OR:%.*]] = zext <2 x i1> [[OR1]] to <2 x i32> ; CHECK-NEXT: ret <2 x i32> [[OR]] ; %zextX = zext <2 x i1> %X to <2 x i32> %zextY = zext <2 x i1> %Y to <2 x i32> %notX = xor <2 x i32> %zextX, <i32 1, i32 1> %notY = xor <2 x i32> %zextY, <i32 1, i32 1> %or = or <2 x i32> %notX, %notY ret <2 x i32> %or } define <2 x i32> @demorgan_and_zext_vec(<2 x i1> %X, <2 x i1> %Y) { ; CHECK-LABEL: @demorgan_and_zext_vec( ; CHECK-NEXT: [[AND1_DEMORGAN:%.*]] = or <2 x i1> [[X:%.*]], [[Y:%.*]] ; CHECK-NEXT: [[AND1:%.*]] = xor <2 x i1> [[AND1_DEMORGAN]], <i1 true, i1 true> ; CHECK-NEXT: [[AND:%.*]] = zext <2 x i1> [[AND1]] to <2 x i32> ; CHECK-NEXT: ret <2 x i32> [[AND]] ; %zextX = zext <2 x i1> %X to <2 x i32> %zextY = zext <2 x i1> %Y to <2 x i32> %notX = xor <2 x i32> %zextX, <i32 1, i32 1> %notY = xor <2 x i32> %zextY, <i32 1, i32 1> %and = and <2 x i32> %notX, %notY ret <2 x i32> %and } define i32 @PR28476(i32 %x, i32 %y) { ; CHECK-LABEL: @PR28476( ; CHECK-NEXT: [[CMP0:%.*]] = icmp eq i32 [[X:%.*]], 0 ; CHECK-NEXT: [[CMP1:%.*]] = icmp eq i32 [[Y:%.*]], 0 ; CHECK-NEXT: [[TMP1:%.*]] = or i1 [[CMP0]], [[CMP1]] ; CHECK-NEXT: [[COND:%.*]] = zext i1 [[TMP1]] to i32 ; CHECK-NEXT: ret i32 [[COND]] ; %cmp0 = icmp ne i32 %x, 0 %cmp1 = icmp ne i32 %y, 0 %and = and i1 %cmp0, %cmp1 %zext = zext i1 %and to i32 %cond = xor i32 %zext, 1 ret i32 %cond } define i32 @PR28476_logical(i32 %x, i32 %y) { ; CHECK-LABEL: @PR28476_logical( ; CHECK-NEXT: [[CMP0:%.*]] = icmp eq i32 [[X:%.*]], 0 ; CHECK-NEXT: [[CMP1:%.*]] = icmp eq i32 [[Y:%.*]], 0 ; CHECK-NEXT: [[AND:%.*]] = select i1 [[CMP0]], i1 true, i1 [[CMP1]] ; CHECK-NEXT: [[COND:%.*]] = zext i1 [[AND]] to i32 ; CHECK-NEXT: ret i32 [[COND]] ; %cmp0 = icmp ne i32 %x, 0 %cmp1 = icmp ne i32 %y, 0 %and = select i1 %cmp0, i1 %cmp1, i1 false %zext = zext i1 %and to i32 %cond = xor i32 %zext, 1 ret i32 %cond } ; ~(~(a | b) | (a & b)) --> (a | b) & ~(a & b) -> a ^ b define i32 @demorgan_plus_and_to_xor(i32 %a, i32 %b) { ; CHECK-LABEL: @demorgan_plus_and_to_xor( ; CHECK-NEXT: [[TMP1:%.*]] = xor i32 [[B:%.*]], [[A:%.*]] ; CHECK-NEXT: ret i32 [[TMP1]] ; %or = or i32 %b, %a %notor = xor i32 %or, -1 %and = and i32 %b, %a %or2 = or i32 %and, %notor %not = xor i32 %or2, -1 ret i32 %not } define <4 x i32> @demorgan_plus_and_to_xor_vec(<4 x i32> %a, <4 x i32> %b) { ; CHECK-LABEL: @demorgan_plus_and_to_xor_vec( ; CHECK-NEXT: [[TMP1:%.*]] = xor <4 x i32> [[A:%.*]], [[B:%.*]] ; CHECK-NEXT: ret <4 x i32> [[TMP1]] ; %or = or <4 x i32> %a, %b %notor = xor <4 x i32> %or, < i32 -1, i32 -1, i32 -1, i32 -1 > %and = and <4 x i32> %a, %b %or2 = or <4 x i32> %and, %notor %not = xor <4 x i32> %or2, < i32 -1, i32 -1, i32 -1, i32 -1 > ret <4 x i32> %not } ; (a ^ b) | ~(a | b) --> ~(a & b) define i32 @PR45984(i32 %0, i32 %1) { ; CHECK-LABEL: @PR45984( ; CHECK-NEXT: [[TMP3:%.*]] = and i32 [[TMP1:%.*]], [[TMP0:%.*]] ; CHECK-NEXT: [[TMP4:%.*]] = xor i32 [[TMP3]], -1 ; CHECK-NEXT: ret i32 [[TMP4]] ; %3 = xor i32 %1, %0 %4 = or i32 %1, %0 %5 = xor i32 %4, -1 %6 = or i32 %3, %5 ret i32 %6 }