1*9880d681SAndroid Build Coastguard Worker; RUN: opt < %s -analyze -scalar-evolution | FileCheck %s 2*9880d681SAndroid Build Coastguard Worker 3*9880d681SAndroid Build Coastguard Workertarget datalayout = "e-m:e-i64:64-f80:128-n8:16:32:64-S128" 4*9880d681SAndroid Build Coastguard Worker 5*9880d681SAndroid Build Coastguard Worker@A = weak global [1000 x i32] zeroinitializer, align 32 6*9880d681SAndroid Build Coastguard Worker 7*9880d681SAndroid Build Coastguard Worker; The resulting predicate is i16 {0,+,1} <nssw>, meanining 8*9880d681SAndroid Build Coastguard Worker; that the resulting backedge expression will be valid for: 9*9880d681SAndroid Build Coastguard Worker; (1 + (-1 smax %M)) <= MAX_INT16 10*9880d681SAndroid Build Coastguard Worker; 11*9880d681SAndroid Build Coastguard Worker; At the limit condition for M (MAX_INT16 - 1) we have in the 12*9880d681SAndroid Build Coastguard Worker; last iteration: 13*9880d681SAndroid Build Coastguard Worker; i0 <- MAX_INT16 14*9880d681SAndroid Build Coastguard Worker; i0.ext <- MAX_INT16 15*9880d681SAndroid Build Coastguard Worker; 16*9880d681SAndroid Build Coastguard Worker; and therefore no wrapping happend for i0 or i0.ext 17*9880d681SAndroid Build Coastguard Worker; throughout the execution of the loop. The resulting predicated 18*9880d681SAndroid Build Coastguard Worker; backedge taken count is correct. 19*9880d681SAndroid Build Coastguard Worker 20*9880d681SAndroid Build Coastguard Worker; CHECK: Classifying expressions for: @test1 21*9880d681SAndroid Build Coastguard Worker; CHECK: %i.0.ext = sext i16 %i.0 to i32 22*9880d681SAndroid Build Coastguard Worker; CHECK-NEXT: --> (sext i16 {0,+,1}<%bb3> to i32) 23*9880d681SAndroid Build Coastguard Worker; CHECK: Loop %bb3: Unpredictable backedge-taken count. 24*9880d681SAndroid Build Coastguard Worker; CHECK-NEXT: Loop %bb3: Unpredictable max backedge-taken count. 25*9880d681SAndroid Build Coastguard Worker; CHECK-NEXT: Loop %bb3: Predicated backedge-taken count is (1 + (-1 smax %M)) 26*9880d681SAndroid Build Coastguard Worker; CHECK-NEXT: Predicates: 27*9880d681SAndroid Build Coastguard Worker; CHECK-NEXT: {0,+,1}<%bb3> Added Flags: <nssw> 28*9880d681SAndroid Build Coastguard Workerdefine void @test1(i32 %N, i32 %M) { 29*9880d681SAndroid Build Coastguard Workerentry: 30*9880d681SAndroid Build Coastguard Worker br label %bb3 31*9880d681SAndroid Build Coastguard Worker 32*9880d681SAndroid Build Coastguard Workerbb: ; preds = %bb3 33*9880d681SAndroid Build Coastguard Worker %tmp = getelementptr [1000 x i32], [1000 x i32]* @A, i32 0, i16 %i.0 ; <i32*> [#uses=1] 34*9880d681SAndroid Build Coastguard Worker store i32 123, i32* %tmp 35*9880d681SAndroid Build Coastguard Worker %tmp2 = add i16 %i.0, 1 ; <i32> [#uses=1] 36*9880d681SAndroid Build Coastguard Worker br label %bb3 37*9880d681SAndroid Build Coastguard Worker 38*9880d681SAndroid Build Coastguard Workerbb3: ; preds = %bb, %entry 39*9880d681SAndroid Build Coastguard Worker %i.0 = phi i16 [ 0, %entry ], [ %tmp2, %bb ] ; <i32> [#uses=3] 40*9880d681SAndroid Build Coastguard Worker %i.0.ext = sext i16 %i.0 to i32 41*9880d681SAndroid Build Coastguard Worker %tmp3 = icmp sle i32 %i.0.ext, %M ; <i1> [#uses=1] 42*9880d681SAndroid Build Coastguard Worker br i1 %tmp3, label %bb, label %bb5 43*9880d681SAndroid Build Coastguard Worker 44*9880d681SAndroid Build Coastguard Workerbb5: ; preds = %bb3 45*9880d681SAndroid Build Coastguard Worker br label %return 46*9880d681SAndroid Build Coastguard Worker 47*9880d681SAndroid Build Coastguard Workerreturn: ; preds = %bb5 48*9880d681SAndroid Build Coastguard Worker ret void 49*9880d681SAndroid Build Coastguard Worker} 50*9880d681SAndroid Build Coastguard Worker 51*9880d681SAndroid Build Coastguard Worker; The predicated backedge taken count is: 52*9880d681SAndroid Build Coastguard Worker; (2 + (zext i16 %Start to i32) + ((-2 + (-1 * (sext i16 %Start to i32))) 53*9880d681SAndroid Build Coastguard Worker; smax (-1 + (-1 * %M))) 54*9880d681SAndroid Build Coastguard Worker; ) 55*9880d681SAndroid Build Coastguard Worker 56*9880d681SAndroid Build Coastguard Worker; -1 + (-1 * %M) <= (-2 + (-1 * (sext i16 %Start to i32)) 57*9880d681SAndroid Build Coastguard Worker; The predicated backedge taken count is 0. 58*9880d681SAndroid Build Coastguard Worker; From the IR, this is correct since we will bail out at the 59*9880d681SAndroid Build Coastguard Worker; first iteration. 60*9880d681SAndroid Build Coastguard Worker 61*9880d681SAndroid Build Coastguard Worker 62*9880d681SAndroid Build Coastguard Worker; * -1 + (-1 * %M) > (-2 + (-1 * (sext i16 %Start to i32)) 63*9880d681SAndroid Build Coastguard Worker; or: %M < 1 + (sext i16 %Start to i32) 64*9880d681SAndroid Build Coastguard Worker; 65*9880d681SAndroid Build Coastguard Worker; The predicated backedge taken count is 1 + (zext i16 %Start to i32) - %M 66*9880d681SAndroid Build Coastguard Worker; 67*9880d681SAndroid Build Coastguard Worker; If %M >= MIN_INT + 1, this predicated backedge taken count would be correct (even 68*9880d681SAndroid Build Coastguard Worker; without predicates). However, for %M < MIN_INT this would be an infinite loop. 69*9880d681SAndroid Build Coastguard Worker; In these cases, the {%Start,+,-1} <nusw> predicate would be false, as the 70*9880d681SAndroid Build Coastguard Worker; final value of the expression {%Start,+,-1} expression (%M - 1) would not be 71*9880d681SAndroid Build Coastguard Worker; representable as an i16. 72*9880d681SAndroid Build Coastguard Worker 73*9880d681SAndroid Build Coastguard Worker; There is also a limit case here where the value of %M is MIN_INT. In this case 74*9880d681SAndroid Build Coastguard Worker; we still have an infinite loop, since icmp sge %x, MIN_INT will always return 75*9880d681SAndroid Build Coastguard Worker; true. 76*9880d681SAndroid Build Coastguard Worker 77*9880d681SAndroid Build Coastguard Worker; CHECK: Classifying expressions for: @test2 78*9880d681SAndroid Build Coastguard Worker 79*9880d681SAndroid Build Coastguard Worker; CHECK: %i.0.ext = sext i16 %i.0 to i32 80*9880d681SAndroid Build Coastguard Worker; CHECK-NEXT: --> (sext i16 {%Start,+,-1}<%bb3> to i32) 81*9880d681SAndroid Build Coastguard Worker; CHECK: Loop %bb3: Unpredictable backedge-taken count. 82*9880d681SAndroid Build Coastguard Worker; CHECK-NEXT: Loop %bb3: Unpredictable max backedge-taken count. 83*9880d681SAndroid Build Coastguard Worker; CHECK-NEXT: Loop %bb3: Predicated backedge-taken count is (2 + (sext i16 %Start to i32) + ((-2 + (-1 * (sext i16 %Start to i32))) smax (-1 + (-1 * %M)))) 84*9880d681SAndroid Build Coastguard Worker; CHECK-NEXT: Predicates: 85*9880d681SAndroid Build Coastguard Worker; CHECK-NEXT: {%Start,+,-1}<%bb3> Added Flags: <nssw> 86*9880d681SAndroid Build Coastguard Worker 87*9880d681SAndroid Build Coastguard Workerdefine void @test2(i32 %N, i32 %M, i16 %Start) { 88*9880d681SAndroid Build Coastguard Workerentry: 89*9880d681SAndroid Build Coastguard Worker br label %bb3 90*9880d681SAndroid Build Coastguard Worker 91*9880d681SAndroid Build Coastguard Workerbb: ; preds = %bb3 92*9880d681SAndroid Build Coastguard Worker %tmp = getelementptr [1000 x i32], [1000 x i32]* @A, i32 0, i16 %i.0 ; <i32*> [#uses=1] 93*9880d681SAndroid Build Coastguard Worker store i32 123, i32* %tmp 94*9880d681SAndroid Build Coastguard Worker %tmp2 = sub i16 %i.0, 1 ; <i32> [#uses=1] 95*9880d681SAndroid Build Coastguard Worker br label %bb3 96*9880d681SAndroid Build Coastguard Worker 97*9880d681SAndroid Build Coastguard Workerbb3: ; preds = %bb, %entry 98*9880d681SAndroid Build Coastguard Worker %i.0 = phi i16 [ %Start, %entry ], [ %tmp2, %bb ] ; <i32> [#uses=3] 99*9880d681SAndroid Build Coastguard Worker %i.0.ext = sext i16 %i.0 to i32 100*9880d681SAndroid Build Coastguard Worker %tmp3 = icmp sge i32 %i.0.ext, %M ; <i1> [#uses=1] 101*9880d681SAndroid Build Coastguard Worker br i1 %tmp3, label %bb, label %bb5 102*9880d681SAndroid Build Coastguard Worker 103*9880d681SAndroid Build Coastguard Workerbb5: ; preds = %bb3 104*9880d681SAndroid Build Coastguard Worker br label %return 105*9880d681SAndroid Build Coastguard Worker 106*9880d681SAndroid Build Coastguard Workerreturn: ; preds = %bb5 107*9880d681SAndroid Build Coastguard Worker ret void 108*9880d681SAndroid Build Coastguard Worker} 109*9880d681SAndroid Build Coastguard Worker 110