; RUN: opt < %s -scev-aa -aa-eval -print-all-alias-modref-info \ ; RUN: |& 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* %p, i64 %i %i.next = add i64 %i, 1 %pi.next = getelementptr double* %p, i64 %i.next %x = load double* %pi %y = load 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* %p, i64 %e %f = add i64 %i.next, %j %pi.next.j = getelementptr double* %p, i64 %f %x = load double* %pi.j %y = load 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* %p, i64 %g %a = load 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* %p, i64 %e %f = add i64 %i.next, %j %pi.next.j = getelementptr double* %p, i64 %f %x = load double* %pi.j %y = load 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* %p, i64 %g %a = load 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* %A, i32 0, i32 0 %Q = bitcast %struct.B* %B to %struct.A* %Z = getelementptr %struct.A* %Q, i32 0, i32 1 %C = getelementptr %struct.B* %B, i32 1 %X = bitcast %struct.B* %C to i32* %Y = getelementptr %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* %M, i32 0, i32 0 %O = bitcast %struct.B* %N to %struct.A* %P = getelementptr %struct.A* %O, i32 0, i32 1 %R = getelementptr %struct.B* %N, i32 1 %W = bitcast %struct.B* %R to i32* %V = getelementptr %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* %p, i64 %inc store i64 0, i64* %arrayidx %tmp6 = load 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