; NOTE: Assertions have been autogenerated by utils/update_analyze_test_checks.py
; RUN: opt -S -disable-output "-passes=print<scalar-evolution>" < %s 2>&1 | FileCheck %s

; TODO: Make sure that zext(umin(x, y)) has same SCEV as umin(zext(x), zext(y)).
; Equality proof: https://alive2.llvm.org/ce/z/vdsvmp
define i1 @test_umin(i32 %x, i32 %y) {
; CHECK-LABEL: 'test_umin'
; CHECK-NEXT:  Classifying expressions for: @test_umin
; CHECK-NEXT:    %umin_x_y = select i1 %cmp_x_y, i32 %x, i32 %y
; CHECK-NEXT:    --> (%x umin %y) U: full-set S: full-set
; CHECK-NEXT:    %zext_umin_x_y = zext i32 %umin_x_y to i64
; CHECK-NEXT:    --> ((zext i32 %x to i64) umin (zext i32 %y to i64)) U: [0,4294967296) S: [0,4294967296)
; CHECK-NEXT:    %zext_x = zext i32 %x to i64
; CHECK-NEXT:    --> (zext i32 %x to i64) U: [0,4294967296) S: [0,4294967296)
; CHECK-NEXT:    %zext_y = zext i32 %y to i64
; CHECK-NEXT:    --> (zext i32 %y to i64) U: [0,4294967296) S: [0,4294967296)
; CHECK-NEXT:    %umin_zext_x_zext_y = select i1 %cmp_zext_x_zext_y, i64 %zext_x, i64 %zext_y
; CHECK-NEXT:    --> ((zext i32 %x to i64) umin (zext i32 %y to i64)) U: [0,4294967296) S: [0,4294967296)
; CHECK-NEXT:  Determining loop execution counts for: @test_umin
;
  %cmp_x_y = icmp ult i32 %x, %y
  %umin_x_y = select i1 %cmp_x_y, i32 %x, i32 %y
  %zext_umin_x_y = zext i32 %umin_x_y to i64

  %zext_x = zext i32 %x to i64
  %zext_y = zext i32 %y to i64
  %cmp_zext_x_zext_y = icmp ult i64 %zext_x, %zext_y
  %umin_zext_x_zext_y = select i1 %cmp_zext_x_zext_y, i64 %zext_x, i64 %zext_y

  %they_are_same = icmp eq i64 %zext_umin_x_y, %umin_zext_x_zext_y
  ret i1 %they_are_same
}

; TODO: Make sure that zext(umax(x, y)) has same SCEV as umax(zext(x), zext(y)).
; Equality proof: https://alive2.llvm.org/ce/z/5JHgxZ
define i1 @test_umax(i32 %x, i32 %y) {
; CHECK-LABEL: 'test_umax'
; CHECK-NEXT:  Classifying expressions for: @test_umax
; CHECK-NEXT:    %umax_x_y = select i1 %cmp_x_y, i32 %y, i32 %x
; CHECK-NEXT:    --> (%x umax %y) U: full-set S: full-set
; CHECK-NEXT:    %zext_umax_x_y = zext i32 %umax_x_y to i64
; CHECK-NEXT:    --> ((zext i32 %x to i64) umax (zext i32 %y to i64)) U: [0,4294967296) S: [0,4294967296)
; CHECK-NEXT:    %zext_x = zext i32 %x to i64
; CHECK-NEXT:    --> (zext i32 %x to i64) U: [0,4294967296) S: [0,4294967296)
; CHECK-NEXT:    %zext_y = zext i32 %y to i64
; CHECK-NEXT:    --> (zext i32 %y to i64) U: [0,4294967296) S: [0,4294967296)
; CHECK-NEXT:    %umax_zext_x_zext_y = select i1 %cmp_zext_x_zext_y, i64 %zext_y, i64 %zext_x
; CHECK-NEXT:    --> ((zext i32 %x to i64) umax (zext i32 %y to i64)) U: [0,4294967296) S: [0,4294967296)
; CHECK-NEXT:  Determining loop execution counts for: @test_umax
;
  %cmp_x_y = icmp ult i32 %x, %y
  %umax_x_y = select i1 %cmp_x_y, i32 %y, i32 %x
  %zext_umax_x_y = zext i32 %umax_x_y to i64

  %zext_x = zext i32 %x to i64
  %zext_y = zext i32 %y to i64
  %cmp_zext_x_zext_y = icmp ult i64 %zext_x, %zext_y
  %umax_zext_x_zext_y = select i1 %cmp_zext_x_zext_y, i64 %zext_y, i64 %zext_x

  %they_are_same = icmp eq i64 %zext_umax_x_y, %umax_zext_x_zext_y
  ret i1 %they_are_same
}

; TODO: Make sure that sext(smin(x, y)) has same SCEV as smin(sext(x), sext(y)).
; Equality proof: https://alive2.llvm.org/ce/z/HhYHzR
define i1 @test_smin(i32 %x, i32 %y) {
; CHECK-LABEL: 'test_smin'
; CHECK-NEXT:  Classifying expressions for: @test_smin
; CHECK-NEXT:    %smin_x_y = select i1 %cmp_x_y, i32 %x, i32 %y
; CHECK-NEXT:    --> (%x smin %y) U: full-set S: full-set
; CHECK-NEXT:    %sext_smin_x_y = sext i32 %smin_x_y to i64
; CHECK-NEXT:    --> ((sext i32 %x to i64) smin (sext i32 %y to i64)) U: [-2147483648,2147483648) S: [-2147483648,2147483648)
; CHECK-NEXT:    %sext_x = sext i32 %x to i64
; CHECK-NEXT:    --> (sext i32 %x to i64) U: [-2147483648,2147483648) S: [-2147483648,2147483648)
; CHECK-NEXT:    %sext_y = sext i32 %y to i64
; CHECK-NEXT:    --> (sext i32 %y to i64) U: [-2147483648,2147483648) S: [-2147483648,2147483648)
; CHECK-NEXT:    %smin_sext_x_sext_y = select i1 %cmp_sext_x_sext_y, i64 %sext_x, i64 %sext_y
; CHECK-NEXT:    --> ((sext i32 %x to i64) smin (sext i32 %y to i64)) U: [-2147483648,2147483648) S: [-2147483648,2147483648)
; CHECK-NEXT:  Determining loop execution counts for: @test_smin
;
  %cmp_x_y = icmp slt i32 %x, %y
  %smin_x_y = select i1 %cmp_x_y, i32 %x, i32 %y
  %sext_smin_x_y = sext i32 %smin_x_y to i64

  %sext_x = sext i32 %x to i64
  %sext_y = sext i32 %y to i64
  %cmp_sext_x_sext_y = icmp slt i64 %sext_x, %sext_y
  %smin_sext_x_sext_y = select i1 %cmp_sext_x_sext_y, i64 %sext_x, i64 %sext_y

  %they_are_same = icmp eq i64 %sext_smin_x_y, %smin_sext_x_sext_y
  ret i1 %they_are_same
}

; TODO: Make sure that sext(smax(x, y)) has same SCEV as smax(sext(x), sext(y)).
; Equality proof: https://alive2.llvm.org/ce/z/uou_u-
define i1 @test_smax(i32 %x, i32 %y) {
; CHECK-LABEL: 'test_smax'
; CHECK-NEXT:  Classifying expressions for: @test_smax
; CHECK-NEXT:    %smax_x_y = select i1 %cmp_x_y, i32 %y, i32 %x
; CHECK-NEXT:    --> (%x smax %y) U: full-set S: full-set
; CHECK-NEXT:    %sext_smax_x_y = sext i32 %smax_x_y to i64
; CHECK-NEXT:    --> ((sext i32 %x to i64) smax (sext i32 %y to i64)) U: [-2147483648,2147483648) S: [-2147483648,2147483648)
; CHECK-NEXT:    %sext_x = sext i32 %x to i64
; CHECK-NEXT:    --> (sext i32 %x to i64) U: [-2147483648,2147483648) S: [-2147483648,2147483648)
; CHECK-NEXT:    %sext_y = sext i32 %y to i64
; CHECK-NEXT:    --> (sext i32 %y to i64) U: [-2147483648,2147483648) S: [-2147483648,2147483648)
; CHECK-NEXT:    %smax_sext_x_sext_y = select i1 %cmp_sext_x_sext_y, i64 %sext_y, i64 %sext_x
; CHECK-NEXT:    --> ((sext i32 %x to i64) smax (sext i32 %y to i64)) U: [-2147483648,2147483648) S: [-2147483648,2147483648)
; CHECK-NEXT:  Determining loop execution counts for: @test_smax
;
  %cmp_x_y = icmp slt i32 %x, %y
  %smax_x_y = select i1 %cmp_x_y, i32 %y, i32 %x
  %sext_smax_x_y = sext i32 %smax_x_y to i64

  %sext_x = sext i32 %x to i64
  %sext_y = sext i32 %y to i64
  %cmp_sext_x_sext_y = icmp slt i64 %sext_x, %sext_y
  %smax_sext_x_sext_y = select i1 %cmp_sext_x_sext_y, i64 %sext_y, i64 %sext_x

  %they_are_same = icmp eq i64 %sext_smax_x_y, %smax_sext_x_sext_y
  ret i1 %they_are_same
}

; TODO: Make sure that zext(umin_seq(x, y)) has same SCEV as umin_seq(zext(x), zext(y)).
; Equality proof: https://alive2.llvm.org/ce/z/X8kaNx
define i1 @test_umin_seq(i1 %x, i1 %y) {
; CHECK-LABEL: 'test_umin_seq'
; CHECK-NEXT:  Classifying expressions for: @test_umin_seq
; CHECK-NEXT:    %x_umin_seq_y = select i1 %x, i1 %y, i1 false
; CHECK-NEXT:    --> (%x umin_seq %y) U: full-set S: full-set
; CHECK-NEXT:    %zext_x_umin_seq_y = zext i1 %x_umin_seq_y to i64
; CHECK-NEXT:    --> ((zext i1 %x to i64) umin_seq (zext i1 %y to i64)) U: [0,2) S: [0,2)
; CHECK-NEXT:    %zext_x = zext i1 %x to i64
; CHECK-NEXT:    --> (zext i1 %x to i64) U: [0,2) S: [0,2)
; CHECK-NEXT:    %zext_y = zext i1 %y to i64
; CHECK-NEXT:    --> (zext i1 %y to i64) U: [0,2) S: [0,2)
; CHECK-NEXT:    %umin_zext_x_zext_y = select i1 %cmp_zext_x_zext_y, i64 %zext_x, i64 %zext_y
; CHECK-NEXT:    --> ((zext i1 %x to i64) umin (zext i1 %y to i64)) U: [0,2) S: [0,2)
; CHECK-NEXT:    %umin_seq_zext_x_xext_y = select i1 %zext_x_is_0, i64 0, i64 %umin_zext_x_zext_y
; CHECK-NEXT:    --> ((zext i1 %x to i64) umin_seq (zext i1 %y to i64)) U: [0,2) S: [0,2)
; CHECK-NEXT:  Determining loop execution counts for: @test_umin_seq
;
  %x_umin_seq_y = select i1 %x, i1 %y, i1 false
  %zext_x_umin_seq_y = zext i1 %x_umin_seq_y to i64

  %zext_x = zext i1 %x to i64
  %zext_y = zext i1 %y to i64
  %zext_x_is_0 = icmp eq i64 %zext_x, 0
  %cmp_zext_x_zext_y = icmp ult i64 %zext_x, %zext_y
  %umin_zext_x_zext_y = select i1 %cmp_zext_x_zext_y, i64 %zext_x, i64 %zext_y
  %umin_seq_zext_x_xext_y = select i1 %zext_x_is_0, i64 0, i64 %umin_zext_x_zext_y

  %they_are_same = icmp eq i64 %zext_x_umin_seq_y, %umin_seq_zext_x_xext_y
  ret i1 %they_are_same
}