| ; RUN: opt -disable-output < %s -disable-basicaa -scev-aa -aa-eval -print-all-alias-modref-info \ | 
 | ; RUN:   2>&1 | FileCheck %s | 
 | ; RUN: opt -disable-output < %s -aa-pipeline=scev-aa -passes=aa-eval -print-all-alias-modref-info \ | 
 | ; RUN:   2>&1 | FileCheck %s | 
 |  | 
 | ; At the time of this writing, -basicaa misses the example of the form | 
 | ; A[i+(j+1)] != A[i+j], which can arise from multi-dimensional array references, | 
 | ; and the example of the form A[0] != A[i+1], where i+1 is known to be positive. | 
 |  | 
 | target datalayout = "e-p:64:64:64-i1:8:8-i8:8:8-i16:16:16-i32:32:32-i64:64:64" | 
 |  | 
 | ; p[i] and p[i+1] don't alias. | 
 |  | 
 | ; CHECK: Function: loop: 3 pointers, 0 call sites | 
 | ; CHECK: NoAlias: double* %pi, double* %pi.next | 
 |  | 
 | define void @loop(double* nocapture %p, i64 %n) nounwind { | 
 | entry: | 
 |   %j = icmp sgt i64 %n, 0 | 
 |   br i1 %j, label %bb, label %return | 
 |  | 
 | bb: | 
 |   %i = phi i64 [ 0, %entry ], [ %i.next, %bb ] | 
 |   %pi = getelementptr double, double* %p, i64 %i | 
 |   %i.next = add i64 %i, 1 | 
 |   %pi.next = getelementptr double, double* %p, i64 %i.next | 
 |   %x = load double, double* %pi | 
 |   %y = load double, double* %pi.next | 
 |   %z = fmul double %x, %y | 
 |   store double %z, double* %pi | 
 |   %exitcond = icmp eq i64 %i.next, %n | 
 |   br i1 %exitcond, label %return, label %bb | 
 |  | 
 | return: | 
 |   ret void | 
 | } | 
 |  | 
 | ; Slightly more involved: p[j][i], p[j][i+1], and p[j+1][i] don't alias. | 
 |  | 
 | ; CHECK: Function: nestedloop: 4 pointers, 0 call sites | 
 | ; CHECK: NoAlias: double* %pi.j, double* %pi.next.j | 
 | ; CHECK: NoAlias: double* %pi.j, double* %pi.j.next | 
 | ; CHECK: NoAlias: double* %pi.j.next, double* %pi.next.j | 
 |  | 
 | define void @nestedloop(double* nocapture %p, i64 %m) nounwind { | 
 | entry: | 
 |   %k = icmp sgt i64 %m, 0 | 
 |   br i1 %k, label %guard, label %return | 
 |  | 
 | guard: | 
 |   %l = icmp sgt i64 91, 0 | 
 |   br i1 %l, label %outer.loop, label %return | 
 |  | 
 | outer.loop: | 
 |   %j = phi i64 [ 0, %guard ], [ %j.next, %outer.latch ] | 
 |   br label %bb | 
 |  | 
 | bb: | 
 |   %i = phi i64 [ 0, %outer.loop ], [ %i.next, %bb ] | 
 |   %i.next = add i64 %i, 1 | 
 |  | 
 |   %e = add i64 %i, %j | 
 |   %pi.j = getelementptr double, double* %p, i64 %e | 
 |   %f = add i64 %i.next, %j | 
 |   %pi.next.j = getelementptr double, double* %p, i64 %f | 
 |   %x = load double, double* %pi.j | 
 |   %y = load double, double* %pi.next.j | 
 |   %z = fmul double %x, %y | 
 |   store double %z, double* %pi.j | 
 |  | 
 |   %o = add i64 %j, 91 | 
 |   %g = add i64 %i, %o | 
 |   %pi.j.next = getelementptr double, double* %p, i64 %g | 
 |   %a = load double, double* %pi.j.next | 
 |   %b = fmul double %x, %a | 
 |   store double %b, double* %pi.j.next | 
 |  | 
 |   %exitcond = icmp eq i64 %i.next, 91 | 
 |   br i1 %exitcond, label %outer.latch, label %bb | 
 |  | 
 | outer.latch: | 
 |   %j.next = add i64 %j, 91 | 
 |   %h = icmp eq i64 %j.next, %m | 
 |   br i1 %h, label %return, label %outer.loop | 
 |  | 
 | return: | 
 |   ret void | 
 | } | 
 |  | 
 | ; Even more involved: same as nestedloop, but with a variable extent. | 
 | ; When n is 1, p[j+1][i] does alias p[j][i+1], and there's no way to | 
 | ; prove whether n will be greater than 1, so that relation will always | 
 | ; by MayAlias. The loop is guarded by a n > 0 test though, so | 
 | ; p[j+1][i] and p[j][i] can theoretically be determined to be NoAlias, | 
 | ; however the analysis currently doesn't do that. | 
 | ; TODO: Make the analysis smarter and turn that MayAlias into a NoAlias. | 
 |  | 
 | ; CHECK: Function: nestedloop_more: 4 pointers, 0 call sites | 
 | ; CHECK: NoAlias: double* %pi.j, double* %pi.next.j | 
 | ; CHECK: MayAlias: double* %pi.j, double* %pi.j.next | 
 |  | 
 | define void @nestedloop_more(double* nocapture %p, i64 %n, i64 %m) nounwind { | 
 | entry: | 
 |   %k = icmp sgt i64 %m, 0 | 
 |   br i1 %k, label %guard, label %return | 
 |  | 
 | guard: | 
 |   %l = icmp sgt i64 %n, 0 | 
 |   br i1 %l, label %outer.loop, label %return | 
 |  | 
 | outer.loop: | 
 |   %j = phi i64 [ 0, %guard ], [ %j.next, %outer.latch ] | 
 |   br label %bb | 
 |  | 
 | bb: | 
 |   %i = phi i64 [ 0, %outer.loop ], [ %i.next, %bb ] | 
 |   %i.next = add i64 %i, 1 | 
 |  | 
 |   %e = add i64 %i, %j | 
 |   %pi.j = getelementptr double, double* %p, i64 %e | 
 |   %f = add i64 %i.next, %j | 
 |   %pi.next.j = getelementptr double, double* %p, i64 %f | 
 |   %x = load double, double* %pi.j | 
 |   %y = load double, double* %pi.next.j | 
 |   %z = fmul double %x, %y | 
 |   store double %z, double* %pi.j | 
 |  | 
 |   %o = add i64 %j, %n | 
 |   %g = add i64 %i, %o | 
 |   %pi.j.next = getelementptr double, double* %p, i64 %g | 
 |   %a = load double, double* %pi.j.next | 
 |   %b = fmul double %x, %a | 
 |   store double %b, double* %pi.j.next | 
 |  | 
 |   %exitcond = icmp eq i64 %i.next, %n | 
 |   br i1 %exitcond, label %outer.latch, label %bb | 
 |  | 
 | outer.latch: | 
 |   %j.next = add i64 %j, %n | 
 |   %h = icmp eq i64 %j.next, %m | 
 |   br i1 %h, label %return, label %outer.loop | 
 |  | 
 | return: | 
 |   ret void | 
 | } | 
 |  | 
 | ; ScalarEvolution expands field offsets into constants, which allows it to | 
 | ; do aggressive analysis. Contrast this with BasicAA, which works by | 
 | ; recognizing GEP idioms. | 
 |  | 
 | %struct.A = type { %struct.B, i32, i32 } | 
 | %struct.B = type { double } | 
 |  | 
 | ; CHECK: Function: foo: 7 pointers, 0 call sites | 
 | ; CHECK: NoAlias: %struct.B* %B, i32* %Z | 
 | ; CHECK: NoAlias: %struct.B* %B, %struct.B* %C | 
 | ; CHECK: MustAlias: %struct.B* %C, i32* %Z | 
 | ; CHECK: NoAlias: %struct.B* %B, i32* %X | 
 | ; CHECK: MustAlias: i32* %X, i32* %Z | 
 | ; CHECK: MustAlias: %struct.B* %C, i32* %Y | 
 | ; CHECK: MustAlias: i32* %X, i32* %Y | 
 |  | 
 | define void @foo() { | 
 | entry: | 
 |   %A = alloca %struct.A | 
 |   %B = getelementptr %struct.A, %struct.A* %A, i32 0, i32 0 | 
 |   %Q = bitcast %struct.B* %B to %struct.A* | 
 |   %Z = getelementptr %struct.A, %struct.A* %Q, i32 0, i32 1 | 
 |   %C = getelementptr %struct.B, %struct.B* %B, i32 1 | 
 |   %X = bitcast %struct.B* %C to i32* | 
 |   %Y = getelementptr %struct.A, %struct.A* %A, i32 0, i32 1 | 
 |   ret void | 
 | } | 
 |  | 
 | ; CHECK: Function: bar: 7 pointers, 0 call sites | 
 | ; CHECK: NoAlias: %struct.B* %N, i32* %P | 
 | ; CHECK: NoAlias: %struct.B* %N, %struct.B* %R | 
 | ; CHECK: MustAlias: %struct.B* %R, i32* %P | 
 | ; CHECK: NoAlias: %struct.B* %N, i32* %W | 
 | ; CHECK: MustAlias: i32* %P, i32* %W | 
 | ; CHECK: MustAlias: %struct.B* %R, i32* %V | 
 | ; CHECK: MustAlias: i32* %V, i32* %W | 
 |  | 
 | define void @bar() { | 
 |   %M = alloca %struct.A | 
 |   %N = getelementptr %struct.A, %struct.A* %M, i32 0, i32 0 | 
 |   %O = bitcast %struct.B* %N to %struct.A* | 
 |   %P = getelementptr %struct.A, %struct.A* %O, i32 0, i32 1 | 
 |   %R = getelementptr %struct.B, %struct.B* %N, i32 1 | 
 |   %W = bitcast %struct.B* %R to i32* | 
 |   %V = getelementptr %struct.A, %struct.A* %M, i32 0, i32 1 | 
 |   ret void | 
 | } | 
 |  | 
 | ; CHECK: Function: nonnegative: 2 pointers, 0 call sites | 
 | ; CHECK: NoAlias:  i64* %arrayidx, i64* %p | 
 |  | 
 | define void @nonnegative(i64* %p) nounwind { | 
 | entry: | 
 |   br label %for.body | 
 |  | 
 | for.body:                                         ; preds = %entry, %for.body | 
 |   %i = phi i64 [ %inc, %for.body ], [ 0, %entry ] ; <i64> [#uses=2] | 
 |   %inc = add nsw i64 %i, 1                         ; <i64> [#uses=2] | 
 |   %arrayidx = getelementptr inbounds i64, i64* %p, i64 %inc | 
 |   store i64 0, i64* %arrayidx | 
 |   %tmp6 = load i64, i64* %p                            ; <i64> [#uses=1] | 
 |   %cmp = icmp slt i64 %inc, %tmp6                 ; <i1> [#uses=1] | 
 |   br i1 %cmp, label %for.body, label %for.end | 
 |  | 
 | for.end:                                          ; preds = %for.body, %entry | 
 |   ret void | 
 | } | 
 |  | 
 | ; CHECK: 14 no alias responses | 
 | ; CHECK: 26 may alias responses | 
 | ; CHECK: 18 must alias responses |