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diff --git a/llvm/test/Transforms/JumpThreading/header-succ.ll b/llvm/test/Transforms/JumpThreading/header-succ.ll
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+; RUN: opt -S -jump-threading < %s | FileCheck %s
+
+; Check that the heuristic for avoiding accidental introduction of irreducible
+; loops doesn't also prevent us from threading simple constructs where this
+; isn't a problem.
+
+declare void @opaque_body()
+
+define void @jump_threading_loopheader() {
+; CHECK-LABEL: @jump_threading_loopheader
+top:
+ br label %entry
+
+entry:
+ %ind = phi i32 [0, %top], [%nextind, %latch]
+ %nextind = add i32 %ind, 1
+ %cmp = icmp ule i32 %ind, 10
+; CHECK: br i1 %cmp, label %latch, label %exit
+ br i1 %cmp, label %body, label %latch
+
+body:
+ call void @opaque_body()
+; CHECK: br label %entry
+ br label %latch
+
+latch:
+ %cond = phi i2 [1, %entry], [2, %body]
+ switch i2 %cond, label %unreach [
+ i2 2, label %entry
+ i2 1, label %exit
+ ]
+
+unreach:
+ unreachable
+
+exit:
+ ret void
+}
+
+; We also need to check the opposite order of the branches, in the switch
+; instruction because jump-threading relies on that to decide which edge to
+; try to thread first.
+define void @jump_threading_loopheader2() {
+; CHECK-LABEL: @jump_threading_loopheader2
+top:
+ br label %entry
+
+entry:
+ %ind = phi i32 [0, %top], [%nextind, %latch]
+ %nextind = add i32 %ind, 1
+ %cmp = icmp ule i32 %ind, 10
+; CHECK: br i1 %cmp, label %exit, label %latch
+ br i1 %cmp, label %body, label %latch
+
+body:
+ call void @opaque_body()
+; CHECK: br label %entry
+ br label %latch
+
+latch:
+ %cond = phi i2 [1, %entry], [2, %body]
+ switch i2 %cond, label %unreach [
+ i2 1, label %entry
+ i2 2, label %exit
+ ]
+
+unreach:
+ unreachable
+
+exit:
+ ret void
+}
+
+; Check if we can handle undef branch condition.
+define void @jump_threading_loopheader3() {
+; CHECK-LABEL: @jump_threading_loopheader3
+top:
+ br label %entry
+
+entry:
+ %ind = phi i32 [0, %top], [%nextind, %latch]
+ %nextind = add i32 %ind, 1
+ %cmp = icmp ule i32 %ind, 10
+; CHECK: br i1 %cmp, label %latch, label %exit
+ br i1 %cmp, label %body, label %latch
+
+body:
+ call void @opaque_body()
+; CHECK: br label %entry
+ br label %latch
+
+latch:
+ %phi = phi i32 [undef, %entry], [0, %body]
+ %cmp1 = icmp eq i32 %phi, 0
+ br i1 %cmp1, label %entry, label %exit
+
+exit:
+ ret void
+}
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