; NOTE: Assertions have been autogenerated by utils/update_test_checks.py
; RUN: opt -passes=constraint-elimination -S %s | FileCheck %s

declare void @use(i1)

define void @loop_phi_pos_start_value(i32 %y, i1 %c, i32 %n) {
; CHECK-LABEL: @loop_phi_pos_start_value(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    br i1 [[C:%.*]], label [[LOOP_HEADER:%.*]], label [[EXIT:%.*]]
; CHECK:       loop.header:
; CHECK-NEXT:    [[X:%.*]] = phi i32 [ 10, [[ENTRY:%.*]] ], [ [[X_NEXT:%.*]], [[LOOP_LATCH:%.*]] ]
; CHECK-NEXT:    [[C_1:%.*]] = icmp slt i32 [[X]], [[N:%.*]]
; CHECK-NEXT:    br i1 [[C_1]], label [[LOOP_LATCH]], label [[EXIT]]
; CHECK:       loop.latch:
; CHECK-NEXT:    [[F_1:%.*]] = icmp sle i32 [[X]], [[N]]
; CHECK-NEXT:    call void @use(i1 true)
; CHECK-NEXT:    [[T_1:%.*]] = icmp sgt i32 [[X]], [[N]]
; CHECK-NEXT:    call void @use(i1 false)
; CHECK-NEXT:    [[T_2:%.*]] = icmp sge i32 [[X]], 10
; CHECK-NEXT:    call void @use(i1 [[T_2]])
; CHECK-NEXT:    [[C_2:%.*]] = icmp sle i32 [[X]], 9
; CHECK-NEXT:    call void @use(i1 [[C_2]])
; CHECK-NEXT:    [[C_3:%.*]] = icmp sgt i32 [[X]], 9
; CHECK-NEXT:    call void @use(i1 [[C_3]])
; CHECK-NEXT:    [[C_4:%.*]] = icmp sge i32 [[X]], 0
; CHECK-NEXT:    call void @use(i1 [[C_4]])
; CHECK-NEXT:    [[C_5:%.*]] = icmp sge i32 [[X]], 9
; CHECK-NEXT:    call void @use(i1 [[C_5]])
; CHECK-NEXT:    [[X_NEXT]] = add nsw i32 [[X]], 1
; CHECK-NEXT:    br label [[LOOP_HEADER]]
; CHECK:       exit:
; CHECK-NEXT:    [[C_6:%.*]] = icmp sgt i32 [[Y:%.*]], 10
; CHECK-NEXT:    call void @use(i1 [[C_6]])
; CHECK-NEXT:    ret void
;
entry:
  br i1 %c, label %loop.header, label %exit

loop.header:
  %x = phi i32 [ 10, %entry ], [ %x.next, %loop.latch ]
  %c.1 = icmp slt i32 %x, %n
  br i1 %c.1, label %loop.latch, label %exit

loop.latch:
  %f.1 = icmp sle i32 %x, %n
  call void @use(i1 %f.1)
  %t.1 = icmp sgt i32 %x, %n
  call void @use(i1 %t.1)
  %t.2 = icmp sge i32 %x, 10
  call void @use(i1 %t.2)

  %c.2 = icmp sle i32 %x, 9
  call void @use(i1 %c.2)
  %c.3 = icmp sgt i32 %x, 9
  call void @use(i1 %c.3)
  %c.4 = icmp sge i32 %x, 0
  call void @use(i1 %c.4)
  %c.5 = icmp sge i32 %x, 9
  call void @use(i1 %c.5)

  %x.next = add nsw i32 %x, 1
  br label %loop.header

exit:
  %c.6 = icmp sgt i32 %y, 10
  call void @use(i1 %c.6)
  ret void
}

define void @loop_phi_neg_start_value(i32 %y, i1 %c, i32 %n) {
; CHECK-LABEL: @loop_phi_neg_start_value(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    br i1 [[C:%.*]], label [[LOOP_HEADER:%.*]], label [[EXIT:%.*]]
; CHECK:       loop.header:
; CHECK-NEXT:    [[X:%.*]] = phi i32 [ -10, [[ENTRY:%.*]] ], [ [[X_NEXT:%.*]], [[LOOP_LATCH:%.*]] ]
; CHECK-NEXT:    [[C_1:%.*]] = icmp slt i32 [[X]], [[N:%.*]]
; CHECK-NEXT:    br i1 [[C_1]], label [[LOOP_LATCH]], label [[EXIT]]
; CHECK:       loop.latch:
; CHECK-NEXT:    [[F_1:%.*]] = icmp sle i32 [[X]], [[N]]
; CHECK-NEXT:    call void @use(i1 true)
; CHECK-NEXT:    [[T_1:%.*]] = icmp sgt i32 [[X]], [[N]]
; CHECK-NEXT:    call void @use(i1 false)
; CHECK-NEXT:    [[T_2:%.*]] = icmp sge i32 [[X]], -10
; CHECK-NEXT:    call void @use(i1 [[T_2]])
; CHECK-NEXT:    [[C_2:%.*]] = icmp sle i32 [[X]], 9
; CHECK-NEXT:    call void @use(i1 [[C_2]])
; CHECK-NEXT:    [[C_3:%.*]] = icmp sgt i32 [[X]], 9
; CHECK-NEXT:    call void @use(i1 [[C_3]])
; CHECK-NEXT:    [[C_4:%.*]] = icmp sge i32 [[X]], 0
; CHECK-NEXT:    call void @use(i1 [[C_4]])
; CHECK-NEXT:    [[C_5:%.*]] = icmp sge i32 [[X]], 9
; CHECK-NEXT:    call void @use(i1 [[C_5]])
; CHECK-NEXT:    [[X_NEXT]] = add nsw i32 [[X]], 1
; CHECK-NEXT:    br label [[LOOP_HEADER]]
; CHECK:       exit:
; CHECK-NEXT:    [[C_6:%.*]] = icmp sgt i32 [[Y:%.*]], 10
; CHECK-NEXT:    call void @use(i1 [[C_6]])
; CHECK-NEXT:    ret void
;
entry:
  br i1 %c, label %loop.header, label %exit

loop.header:
  %x = phi i32 [ -10, %entry ], [ %x.next, %loop.latch ]
  %c.1 = icmp slt i32 %x, %n
  br i1 %c.1, label %loop.latch, label %exit

loop.latch:
  %f.1 = icmp sle i32 %x, %n
  call void @use(i1 %f.1)
  %t.1 = icmp sgt i32 %x, %n
  call void @use(i1 %t.1)
  %t.2 = icmp sge i32 %x, -10
  call void @use(i1 %t.2)

  %c.2 = icmp sle i32 %x, 9
  call void @use(i1 %c.2)
  %c.3 = icmp sgt i32 %x, 9
  call void @use(i1 %c.3)
  %c.4 = icmp sge i32 %x, 0
  call void @use(i1 %c.4)
  %c.5 = icmp sge i32 %x, 9
  call void @use(i1 %c.5)

  %x.next = add nsw i32 %x, 1
  br label %loop.header

exit:
  %c.6 = icmp sgt i32 %y, 10
  call void @use(i1 %c.6)
  ret void
}

define void @loop_count_down(i32 %y, i1 %c, i32 %n) {
; CHECK-LABEL: @loop_count_down(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    br i1 [[C:%.*]], label [[LOOP_HEADER:%.*]], label [[EXIT:%.*]]
; CHECK:       loop.header:
; CHECK-NEXT:    [[X:%.*]] = phi i32 [ [[N:%.*]], [[ENTRY:%.*]] ], [ [[X_NEXT:%.*]], [[LOOP_LATCH:%.*]] ]
; CHECK-NEXT:    [[C_1:%.*]] = icmp sge i32 [[X]], 0
; CHECK-NEXT:    br i1 [[C_1]], label [[LOOP_LATCH]], label [[EXIT]]
; CHECK:       loop.latch:
; CHECK-NEXT:    [[F_1:%.*]] = icmp sle i32 [[X]], [[N]]
; CHECK-NEXT:    call void @use(i1 [[F_1]])
; CHECK-NEXT:    [[T_1:%.*]] = icmp sgt i32 [[X]], [[N]]
; CHECK-NEXT:    call void @use(i1 [[T_1]])
; CHECK-NEXT:    [[T_2:%.*]] = icmp sge i32 [[X]], 0
; CHECK-NEXT:    call void @use(i1 true)
; CHECK-NEXT:    [[T_3:%.*]] = icmp sge i32 [[X]], -1
; CHECK-NEXT:    call void @use(i1 true)
; CHECK-NEXT:    [[C_2:%.*]] = icmp sle i32 [[X]], 9
; CHECK-NEXT:    call void @use(i1 [[C_2]])
; CHECK-NEXT:    [[C_3:%.*]] = icmp sgt i32 [[X]], 9
; CHECK-NEXT:    call void @use(i1 [[C_3]])
; CHECK-NEXT:    [[C_4:%.*]] = icmp sge i32 [[X]], 1
; CHECK-NEXT:    call void @use(i1 [[C_4]])
; CHECK-NEXT:    [[C_5:%.*]] = icmp sge i32 [[X]], 2
; CHECK-NEXT:    call void @use(i1 [[C_5]])
; CHECK-NEXT:    [[X_NEXT]] = add nsw i32 [[X]], 1
; CHECK-NEXT:    br label [[LOOP_HEADER]]
; CHECK:       exit:
; CHECK-NEXT:    [[C_6:%.*]] = icmp sgt i32 [[Y:%.*]], 10
; CHECK-NEXT:    call void @use(i1 [[C_6]])
; CHECK-NEXT:    ret void
;
entry:
  br i1 %c, label %loop.header, label %exit

loop.header:
  %x = phi i32 [ %n, %entry ], [ %x.next, %loop.latch ]
  %c.1 = icmp sge i32 %x, 0
  br i1 %c.1, label %loop.latch, label %exit

loop.latch:
  %f.1 = icmp sle i32 %x, %n
  call void @use(i1 %f.1)
  %t.1 = icmp sgt i32 %x, %n
  call void @use(i1 %t.1)
  %t.2 = icmp sge i32 %x, 0
  call void @use(i1 %t.2)
  %t.3 = icmp sge i32 %x, -1
  call void @use(i1 %t.3)

  %c.2 = icmp sle i32 %x, 9
  call void @use(i1 %c.2)
  %c.3 = icmp sgt i32 %x, 9
  call void @use(i1 %c.3)
  %c.4 = icmp sge i32 %x, 1
  call void @use(i1 %c.4)
  %c.5 = icmp sge i32 %x, 2
  call void @use(i1 %c.5)

  %x.next = add nsw i32 %x, 1
  br label %loop.header

exit:
  %c.6 = icmp sgt i32 %y, 10
  call void @use(i1 %c.6)
  ret void
}

define void @loop_latch_may_not_executed(i32 %y, i1 %c, i32 %n) {
; CHECK-LABEL: @loop_latch_may_not_executed(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    br i1 [[C:%.*]], label [[LOOP_HEADER:%.*]], label [[EXIT:%.*]]
; CHECK:       loop.header:
; CHECK-NEXT:    [[X:%.*]] = phi i32 [ 0, [[ENTRY:%.*]] ], [ [[X_NEXT:%.*]], [[LOOP_LATCH:%.*]] ]
; CHECK-NEXT:    [[C_1:%.*]] = icmp ugt i32 [[X]], [[N:%.*]]
; CHECK-NEXT:    br i1 [[C_1]], label [[LOOP_LATCH]], label [[EXIT]]
; CHECK:       loop.latch:
; CHECK-NEXT:    [[F_1:%.*]] = icmp ule i32 [[X]], [[N]]
; CHECK-NEXT:    call void @use(i1 false)
; CHECK-NEXT:    [[T_1:%.*]] = icmp ugt i32 [[X]], [[N]]
; CHECK-NEXT:    call void @use(i1 true)
; CHECK-NEXT:    [[C_2:%.*]] = icmp ule i32 [[X]], 9
; CHECK-NEXT:    call void @use(i1 [[C_2]])
; CHECK-NEXT:    [[C_3:%.*]] = icmp ugt i32 [[X]], 9
; CHECK-NEXT:    call void @use(i1 [[C_3]])
; CHECK-NEXT:    [[X_NEXT]] = add i32 [[X]], 1
; CHECK-NEXT:    br label [[LOOP_HEADER]]
; CHECK:       exit:
; CHECK-NEXT:    [[C_4:%.*]] = icmp ugt i32 [[Y:%.*]], 10
; CHECK-NEXT:    call void @use(i1 [[C_4]])
; CHECK-NEXT:    ret void
;
entry:
  br i1 %c, label %loop.header, label %exit

loop.header:
  %x = phi i32 [ 0, %entry ], [ %x.next, %loop.latch ]
  %c.1 = icmp ugt i32 %x, %n
  br i1 %c.1, label %loop.latch, label %exit

loop.latch:
  %f.1 = icmp ule i32 %x, %n
  call void @use(i1 %f.1)
  %t.1 = icmp ugt i32 %x, %n
  call void @use(i1 %t.1)

  %c.2 = icmp ule i32 %x, 9
  call void @use(i1 %c.2)
  %c.3 = icmp ugt i32 %x, 9
  call void @use(i1 %c.3)

  %x.next = add i32 %x, 1
  br label %loop.header

exit:
  %c.4 = icmp ugt i32 %y, 10
  call void @use(i1 %c.4)
  ret void
}

define void @loop_latch_not_executed_constant_bound(i32 %y, i1 %c) {
; CHECK-LABEL: @loop_latch_not_executed_constant_bound(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    br i1 [[C:%.*]], label [[LOOP_HEADER:%.*]], label [[EXIT:%.*]]
; CHECK:       loop.header:
; CHECK-NEXT:    [[X:%.*]] = phi i32 [ 0, [[ENTRY:%.*]] ], [ [[X_NEXT:%.*]], [[LOOP_LATCH:%.*]] ]
; CHECK-NEXT:    [[C_1:%.*]] = icmp ugt i32 [[X]], 10
; CHECK-NEXT:    br i1 [[C_1]], label [[LOOP_LATCH]], label [[EXIT]]
; CHECK:       loop.latch:
; CHECK-NEXT:    [[T_1:%.*]] = icmp ule i32 [[X]], 10
; CHECK-NEXT:    call void @use(i1 false)
; CHECK-NEXT:    [[F_1:%.*]] = icmp ugt i32 [[X]], 10
; CHECK-NEXT:    call void @use(i1 true)
; CHECK-NEXT:    [[C_2:%.*]] = icmp ule i32 [[X]], 9
; CHECK-NEXT:    call void @use(i1 false)
; CHECK-NEXT:    [[C_3:%.*]] = icmp ugt i32 [[X]], 9
; CHECK-NEXT:    call void @use(i1 true)
; CHECK-NEXT:    [[X_NEXT]] = add i32 [[X]], 1
; CHECK-NEXT:    br label [[LOOP_HEADER]]
; CHECK:       exit:
; CHECK-NEXT:    [[C_4:%.*]] = icmp ugt i32 [[Y:%.*]], 10
; CHECK-NEXT:    call void @use(i1 [[C_4]])
; CHECK-NEXT:    ret void
;
entry:
  br i1 %c, label %loop.header, label %exit

loop.header:
  %x = phi i32 [ 0, %entry ], [ %x.next, %loop.latch ]
  %c.1 = icmp ugt i32 %x, 10
  br i1 %c.1, label %loop.latch, label %exit

loop.latch:
  %t.1 = icmp ule i32 %x, 10
  call void @use(i1 %t.1)
  %f.1 = icmp ugt i32 %x, 10
  call void @use(i1 %f.1)

  %c.2 = icmp ule i32 %x, 9
  call void @use(i1 %c.2)
  %c.3 = icmp ugt i32 %x, 9
  call void @use(i1 %c.3)

  %x.next = add i32 %x, 1
  br label %loop.header

exit:
  %c.4 = icmp ugt i32 %y, 10
  call void @use(i1 %c.4)
  ret void
}


define void @loop_iv_cond_variable_bound(i32 %n) {
; CHECK-LABEL: @loop_iv_cond_variable_bound(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    br label [[LOOP_HEADER:%.*]]
; CHECK:       loop.header:
; CHECK-NEXT:    [[IV:%.*]] = phi i32 [ 0, [[ENTRY:%.*]] ], [ [[IV_NEXT:%.*]], [[LOOP_LATCH:%.*]] ]
; CHECK-NEXT:    [[T_1:%.*]] = icmp ule i32 [[IV]], [[N:%.*]]
; CHECK-NEXT:    call void @use(i1 [[T_1]])
; CHECK-NEXT:    [[T_2:%.*]] = icmp sge i32 [[IV]], 0
; CHECK-NEXT:    call void @use(i1 [[T_2]])
; CHECK-NEXT:    [[T_3:%.*]] = icmp sge i32 [[IV]], -1
; CHECK-NEXT:    call void @use(i1 [[T_3]])
; CHECK-NEXT:    [[C_1:%.*]] = icmp ult i32 [[IV]], [[N]]
; CHECK-NEXT:    call void @use(i1 [[C_1]])
; CHECK-NEXT:    [[C_2:%.*]] = icmp ugt i32 [[IV]], 1
; CHECK-NEXT:    call void @use(i1 [[C_2]])
; CHECK-NEXT:    [[CMP:%.*]] = icmp ult i32 [[IV]], [[N]]
; CHECK-NEXT:    br i1 [[CMP]], label [[LOOP_LATCH]], label [[EXIT:%.*]]
; CHECK:       loop.latch:
; CHECK-NEXT:    [[T_4:%.*]] = icmp ule i32 [[IV]], [[N]]
; CHECK-NEXT:    call void @use(i1 true)
; CHECK-NEXT:    [[C_3:%.*]] = icmp ult i32 [[IV]], 2
; CHECK-NEXT:    call void @use(i1 [[C_3]])
; CHECK-NEXT:    [[C_4:%.*]] = icmp ugt i32 [[IV]], 1
; CHECK-NEXT:    call void @use(i1 [[C_4]])
; CHECK-NEXT:    [[IV_NEXT]] = add nuw nsw i32 [[IV]], 1
; CHECK-NEXT:    br label [[LOOP_HEADER]]
; CHECK:       exit:
; CHECK-NEXT:    ret void
;
entry:
  br label %loop.header

loop.header:
  %iv = phi i32 [ 0, %entry ], [ %iv.next, %loop.latch ]
  %t.1 = icmp ule i32 %iv, %n
  call void @use(i1 %t.1)
  %t.2 = icmp sge i32 %iv, 0
  call void @use(i1 %t.2)
  %t.3 = icmp sge i32 %iv, -1
  call void @use(i1 %t.3)

  %c.1 = icmp ult i32 %iv, %n
  call void @use(i1 %c.1)
  %c.2 = icmp ugt i32 %iv, 1
  call void @use(i1 %c.2)

  %cmp = icmp ult i32 %iv, %n
  br i1 %cmp, label %loop.latch, label %exit

loop.latch:
  %t.4 = icmp ule  i32 %iv, %n
  call void @use(i1 %t.4)

  %c.3 = icmp ult i32 %iv, 2
  call void @use(i1 %c.3)
  %c.4 = icmp ugt i32 %iv, 1
  call void @use(i1 %c.4)

  %iv.next = add nuw nsw i32 %iv, 1
  br label %loop.header

exit:
  ret void
}

define void @loop_iv_cond_constant_bound() {
; CHECK-LABEL: @loop_iv_cond_constant_bound(
; CHECK-NEXT:  entry:
; CHECK-NEXT:    br label [[LOOP_HEADER:%.*]]
; CHECK:       loop.header:
; CHECK-NEXT:    [[IV:%.*]] = phi i32 [ 0, [[ENTRY:%.*]] ], [ [[IV_NEXT:%.*]], [[LOOP_LATCH:%.*]] ]
; CHECK-NEXT:    [[T_1:%.*]] = icmp ule i32 [[IV]], 2
; CHECK-NEXT:    call void @use(i1 [[T_1]])
; CHECK-NEXT:    [[T_2:%.*]] = icmp sge i32 [[IV]], 0
; CHECK-NEXT:    call void @use(i1 [[T_2]])
; CHECK-NEXT:    [[T_3:%.*]] = icmp sge i32 [[IV]], -1
; CHECK-NEXT:    call void @use(i1 [[T_3]])
; CHECK-NEXT:    [[C_1:%.*]] = icmp ult i32 [[IV]], 2
; CHECK-NEXT:    call void @use(i1 [[C_1]])
; CHECK-NEXT:    [[C_2:%.*]] = icmp ugt i32 [[IV]], 1
; CHECK-NEXT:    call void @use(i1 [[C_2]])
; CHECK-NEXT:    [[CMP:%.*]] = icmp ult i32 [[IV]], 2
; CHECK-NEXT:    br i1 [[CMP]], label [[LOOP_LATCH]], label [[EXIT:%.*]]
; CHECK:       loop.latch:
; CHECK-NEXT:    [[T_4:%.*]] = icmp ule i32 [[IV]], 2
; CHECK-NEXT:    call void @use(i1 true)
; CHECK-NEXT:    [[C_3:%.*]] = icmp ult i32 [[IV]], 2
; CHECK-NEXT:    call void @use(i1 true)
; CHECK-NEXT:    [[C_4:%.*]] = icmp ugt i32 [[IV]], 1
; CHECK-NEXT:    call void @use(i1 false)
; CHECK-NEXT:    [[IV_NEXT]] = add nuw nsw i32 [[IV]], 1
; CHECK-NEXT:    br label [[LOOP_HEADER]]
; CHECK:       exit:
; CHECK-NEXT:    ret void
;
entry:
  br label %loop.header

loop.header:
  %iv = phi i32 [ 0, %entry ], [ %iv.next, %loop.latch ]
  %t.1 = icmp ule i32 %iv, 2
  call void @use(i1 %t.1)
  %t.2 = icmp sge i32 %iv, 0
  call void @use(i1 %t.2)
  %t.3 = icmp sge i32 %iv, -1
  call void @use(i1 %t.3)

  %c.1 = icmp ult i32 %iv, 2
  call void @use(i1 %c.1)
  %c.2 = icmp ugt i32 %iv, 1
  call void @use(i1 %c.2)

  %cmp = icmp ult i32 %iv, 2
  br i1 %cmp, label %loop.latch, label %exit

loop.latch:
  %t.4 = icmp ule  i32 %iv, 2
  call void @use(i1 %t.4)

  %c.3 = icmp ult i32 %iv, 2
  call void @use(i1 %c.3)
  %c.4 = icmp ugt i32 %iv, 1
  call void @use(i1 %c.4)

  %iv.next = add nuw nsw i32 %iv, 1
  br label %loop.header

exit:
  ret void
}