canonicalize.mlir 31.9 KB
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// RUN: mlir-opt %s -pass-pipeline='func(canonicalize)' -split-input-file | FileCheck %s

// CHECK-LABEL: func @test_subi_zero
func @test_subi_zero(%arg0: i32) -> i32 {
  // CHECK-NEXT: %c0_i32 = constant 0 : i32
  // CHECK-NEXT: return %c0
  %y = subi %arg0, %arg0 : i32
  return %y: i32
}

// CHECK-LABEL: func @test_subi_zero_vector
func @test_subi_zero_vector(%arg0: vector<4xi32>) -> vector<4xi32> {
  //CHECK-NEXT: %cst = constant dense<0> : vector<4xi32>
  %y = subi %arg0, %arg0 : vector<4xi32>
  // CHECK-NEXT: return %cst
  return %y: vector<4xi32>
}

// CHECK-LABEL: func @test_subi_zero_tensor
func @test_subi_zero_tensor(%arg0: tensor<4x5xi32>) -> tensor<4x5xi32> {
  //CHECK-NEXT: %cst = constant dense<0> : tensor<4x5xi32>
  %y = subi %arg0, %arg0 : tensor<4x5xi32>
  // CHECK-NEXT: return %cst
  return %y: tensor<4x5xi32>
}

// CHECK-LABEL: func @dim
func @dim(%arg0: tensor<8x4xf32>) -> index {

  // CHECK: %c4 = constant 4 : index
  %0 = dim %arg0, 1 : tensor<8x4xf32>

  // CHECK-NEXT: return %c4
  return %0 : index
}

// CHECK-LABEL: func @test_commutative
func @test_commutative(%arg0: i32) -> (i32, i32) {
  // CHECK: %c42_i32 = constant 42 : i32
  %c42_i32 = constant 42 : i32
  // CHECK-NEXT: %0 = addi %arg0, %c42_i32 : i32
  %y = addi %c42_i32, %arg0 : i32

  // This should not be swapped.
  // CHECK-NEXT: %1 = subi %c42_i32, %arg0 : i32
  %z = subi %c42_i32, %arg0 : i32

  // CHECK-NEXT: return %0, %1
  return %y, %z: i32, i32
}

// CHECK-LABEL: func @trivial_dce
func @trivial_dce(%arg0: tensor<8x4xf32>) {
  %0 = dim %arg0, 1 : tensor<8x4xf32>
  // CHECK-NEXT: return
  return
}

// CHECK-LABEL: func @addi_zero
func @addi_zero(%arg0: i32) -> i32 {
  // CHECK-NEXT: return %arg0
  %c0_i32 = constant 0 : i32
  %y = addi %c0_i32, %arg0 : i32
  return %y: i32
}

// CHECK-LABEL: func @addi_zero_index
func @addi_zero_index(%arg0: index) -> index {
  // CHECK-NEXT: return %arg0
  %c0_index = constant 0 : index
  %y = addi %c0_index, %arg0 : index
  return %y: index
}


// CHECK-LABEL: func @addi_zero_vector
func @addi_zero_vector(%arg0: vector<4 x i32>) -> vector<4 x i32> {
  // CHECK-NEXT: return %arg0
  %c0_v4i32 = constant dense<0> : vector<4 x i32>
  %y = addi %c0_v4i32, %arg0 : vector<4 x i32>
  return %y: vector<4 x i32>
}

// CHECK-LABEL: func @addi_zero_tensor
func @addi_zero_tensor(%arg0: tensor<4 x 5 x i32>) -> tensor<4 x 5 x i32> {
  // CHECK-NEXT: return %arg0
  %c0_t45i32 = constant dense<0> : tensor<4 x 5 x i32>
  %y = addi %arg0, %c0_t45i32 : tensor<4 x 5 x i32>
  return %y: tensor<4 x 5 x i32>
}

// CHECK-LABEL: func @muli_zero
func @muli_zero(%arg0: i32) -> i32 {
  // CHECK-NEXT: %c0_i32 = constant 0 : i32
  %c0_i32 = constant 0 : i32

  %y = muli %c0_i32, %arg0 : i32

  // CHECK-NEXT: return %c0_i32
  return %y: i32
}

// CHECK-LABEL: func @muli_zero_index
func @muli_zero_index(%arg0: index) -> index {
  // CHECK-NEXT: %[[CST:.*]] = constant 0 : index
  %c0_index = constant 0 : index

  %y = muli %c0_index, %arg0 : index

  // CHECK-NEXT: return %[[CST]]
  return %y: index
}

// CHECK-LABEL: func @muli_zero_vector
func @muli_zero_vector(%arg0: vector<4 x i32>) -> vector<4 x i32> {
  // CHECK-NEXT: %cst = constant dense<0> : vector<4xi32>
  %cst = constant dense<0> : vector<4 x i32>

  %y = muli %cst, %arg0 : vector<4 x i32>

  // CHECK-NEXT: return %cst
  return %y: vector<4 x i32>
}

// CHECK-LABEL: func @muli_zero_tensor
func @muli_zero_tensor(%arg0: tensor<4 x 5 x i32>) -> tensor<4 x 5 x i32> {
  // CHECK-NEXT: %cst = constant dense<0> : tensor<4x5xi32>
  %cst = constant dense<0> : tensor<4 x 5 x i32>

  %y = muli %arg0, %cst : tensor<4 x 5 x i32>

  // CHECK-NEXT: return %cst
  return %y: tensor<4 x 5 x i32>
}

// CHECK-LABEL: func @muli_one
func @muli_one(%arg0: i32) -> i32 {
  // CHECK-NEXT: return %arg0
  %c0_i32 = constant 1 : i32
  %y = muli %c0_i32, %arg0 : i32
  return %y: i32
}

// CHECK-LABEL: func @muli_one_index
func @muli_one_index(%arg0: index) -> index {
  // CHECK-NEXT: return %arg0
  %c0_index = constant 1 : index
  %y = muli %c0_index, %arg0 : index
  return %y: index
}

// CHECK-LABEL: func @muli_one_vector
func @muli_one_vector(%arg0: vector<4 x i32>) -> vector<4 x i32> {
  // CHECK-NEXT: return %arg0
  %c1_v4i32 = constant dense<1> : vector<4 x i32>
  %y = muli %c1_v4i32, %arg0 : vector<4 x i32>
  return %y: vector<4 x i32>
}

// CHECK-LABEL: func @muli_one_tensor
func @muli_one_tensor(%arg0: tensor<4 x 5 x i32>) -> tensor<4 x 5 x i32> {
  // CHECK-NEXT: return %arg0
  %c1_t45i32 = constant dense<1> : tensor<4 x 5 x i32>
  %y = muli %arg0, %c1_t45i32 : tensor<4 x 5 x i32>
  return %y: tensor<4 x 5 x i32>
}

//CHECK-LABEL: func @and_self
func @and_self(%arg0: i32) -> i32 {
  //CHECK-NEXT: return %arg0
  %1 = and %arg0, %arg0 : i32
  return %1 : i32
}

//CHECK-LABEL: func @and_self_vector
func @and_self_vector(%arg0: vector<4xi32>) -> vector<4xi32> {
  //CHECK-NEXT: return %arg0
  %1 = and %arg0, %arg0 : vector<4xi32>
  return %1 : vector<4xi32>
}

//CHECK-LABEL: func @and_self_tensor
func @and_self_tensor(%arg0: tensor<4x5xi32>) -> tensor<4x5xi32> {
  //CHECK-NEXT: return %arg0
  %1 = and %arg0, %arg0 : tensor<4x5xi32>
  return %1 : tensor<4x5xi32>
}

//CHECK-LABEL: func @and_zero
func @and_zero(%arg0: i32) -> i32 {
  // CHECK-NEXT: %c0_i32 = constant 0 : i32
  %c0_i32 = constant 0 : i32
  // CHECK-NEXT: return %c0_i32
  %1 = and %arg0, %c0_i32 : i32
  return %1 : i32
}

//CHECK-LABEL: func @and_zero_index
func @and_zero_index(%arg0: index) -> index {
  // CHECK-NEXT: %[[CST:.*]] = constant 0 : index
  %c0_index = constant 0 : index
  // CHECK-NEXT: return %[[CST]]
  %1 = and %arg0, %c0_index : index
  return %1 : index
}

//CHECK-LABEL: func @and_zero_vector
func @and_zero_vector(%arg0: vector<4xi32>) -> vector<4xi32> {
  // CHECK-NEXT: %cst = constant dense<0> : vector<4xi32>
  %cst = constant dense<0> : vector<4xi32>
  // CHECK-NEXT: return %cst
  %1 = and %arg0, %cst : vector<4xi32>
  return %1 : vector<4xi32>
}

//CHECK-LABEL: func @and_zero_tensor
func @and_zero_tensor(%arg0: tensor<4x5xi32>) -> tensor<4x5xi32> {
  // CHECK-NEXT: %cst = constant dense<0> : tensor<4x5xi32>
  %cst = constant dense<0> : tensor<4x5xi32>
  // CHECK-NEXT: return %cst
  %1 = and %arg0, %cst : tensor<4x5xi32>
  return %1 : tensor<4x5xi32>
}

//CHECK-LABEL: func @or_self
func @or_self(%arg0: i32) -> i32 {
  //CHECK-NEXT: return %arg0
  %1 = or %arg0, %arg0 : i32
  return %1 : i32
}

//CHECK-LABEL: func @or_self_vector
func @or_self_vector(%arg0: vector<4xi32>) -> vector<4xi32> {
  //CHECK-NEXT: return %arg0
  %1 = or %arg0, %arg0 : vector<4xi32>
  return %1 : vector<4xi32>
}

//CHECK-LABEL: func @or_self_tensor
func @or_self_tensor(%arg0: tensor<4x5xi32>) -> tensor<4x5xi32> {
  //CHECK-NEXT: return %arg0
  %1 = or %arg0, %arg0 : tensor<4x5xi32>
  return %1 : tensor<4x5xi32>
}

//CHECK-LABEL: func @or_zero
func @or_zero(%arg0: i32) -> i32 {
  %c0_i32 = constant 0 : i32
  // CHECK-NEXT: return %arg0
  %1 = or %arg0, %c0_i32 : i32
  return %1 : i32
}

//CHECK-LABEL: func @or_zero_index
func @or_zero_index(%arg0: index) -> index {
  %c0_index = constant 0 : index
  // CHECK-NEXT: return %arg0
  %1 = or %arg0, %c0_index : index
  return %1 : index
}

//CHECK-LABEL: func @or_zero_vector
func @or_zero_vector(%arg0: vector<4xi32>) -> vector<4xi32> {
  // CHECK-NEXT: return %arg0
  %cst = constant dense<0> : vector<4xi32>
  %1 = or %arg0, %cst : vector<4xi32>
  return %1 : vector<4xi32>
}

//CHECK-LABEL: func @or_zero_tensor
func @or_zero_tensor(%arg0: tensor<4x5xi32>) -> tensor<4x5xi32> {
  // CHECK-NEXT: return %arg0
  %cst = constant dense<0> : tensor<4x5xi32>
  %1 = or %arg0, %cst : tensor<4x5xi32>
  return %1 : tensor<4x5xi32>
}

//CHECK-LABEL: func @xor_self
func @xor_self(%arg0: i32) -> i32 {
  //CHECK-NEXT: %c0_i32 = constant 0
  %1 = xor %arg0, %arg0 : i32
  //CHECK-NEXT: return %c0_i32
  return %1 : i32
}

//CHECK-LABEL: func @xor_self_vector
func @xor_self_vector(%arg0: vector<4xi32>) -> vector<4xi32> {
  //CHECK-NEXT: %cst = constant dense<0> : vector<4xi32>
  %1 = xor %arg0, %arg0 : vector<4xi32>
  //CHECK-NEXT: return %cst
  return %1 : vector<4xi32>
}

//CHECK-LABEL: func @xor_self_tensor
func @xor_self_tensor(%arg0: tensor<4x5xi32>) -> tensor<4x5xi32> {
  //CHECK-NEXT: %cst = constant dense<0> : tensor<4x5xi32>
  %1 = xor %arg0, %arg0 : tensor<4x5xi32>
  //CHECK-NEXT: return %cst
  return %1 : tensor<4x5xi32>
}

// CHECK-LABEL: func @memref_cast_folding
func @memref_cast_folding(%arg0: memref<4 x f32>, %arg1: f32) -> f32 {
  %1 = memref_cast %arg0 : memref<4xf32> to memref<?xf32>
  // CHECK-NEXT: %c0 = constant 0 : index
  %c0 = constant 0 : index
  %dim = dim %1, 0 : memref<? x f32>

  // CHECK-NEXT: affine.load %arg0[3]
  affine.load %1[%dim - 1] : memref<?xf32>

  // CHECK-NEXT: store %arg1, %arg0[%c0] : memref<4xf32>
  store %arg1, %1[%c0] : memref<?xf32>

  // CHECK-NEXT: %{{.*}} = load %arg0[%c0] : memref<4xf32>
  %0 = load %1[%c0] : memref<?xf32>

  // CHECK-NEXT: dealloc %arg0 : memref<4xf32>
  dealloc %1: memref<?xf32>

  // CHECK-NEXT: return %{{.*}}
  return %0 : f32
}

// CHECK-LABEL: func @alloc_const_fold
func @alloc_const_fold() -> memref<?xf32> {
  // CHECK-NEXT: %0 = alloc() : memref<4xf32>
  %c4 = constant 4 : index
  %a = alloc(%c4) : memref<?xf32>

  // CHECK-NEXT: %1 = memref_cast %0 : memref<4xf32> to memref<?xf32>
  // CHECK-NEXT: return %1 : memref<?xf32>
  return %a : memref<?xf32>
}

// CHECK-LABEL: func @dead_alloc_fold
func @dead_alloc_fold() {
  // CHECK-NEXT: return
  %c4 = constant 4 : index
  %a = alloc(%c4) : memref<?xf32>
  return
}

// CHECK-LABEL: func @dead_dealloc_fold
func @dead_dealloc_fold() {
  // CHECK-NEXT: return
  %a = alloc() : memref<4xf32>
  dealloc %a: memref<4xf32>
  return
}

// CHECK-LABEL: func @dead_dealloc_fold_multi_use
func @dead_dealloc_fold_multi_use(%cond : i1) {
  // CHECK-NEXT: cond_br
  %a = alloc() : memref<4xf32>
  cond_br %cond, ^bb1, ^bb2

  // CHECK-LABEL: bb1:
^bb1:
  // CHECK-NEXT: return
  dealloc %a: memref<4xf32>
  return

  // CHECK-LABEL: bb2:
^bb2:
  // CHECK-NEXT: return
  dealloc %a: memref<4xf32>
  return
}

// CHECK-LABEL: func @dead_block_elim
func @dead_block_elim() {
  // CHECK-NOT ^bb
  func @nested() {
    return

  ^bb1:
    return
  }
  return

^bb1:
  return
}

// CHECK-LABEL: func @dyn_shape_fold(%arg0: index, %arg1: index)
func @dyn_shape_fold(%L : index, %M : index) -> (memref<? x ? x i32>, memref<? x ? x f32>) {
  // CHECK: %c0 = constant 0 : index
  %zero = constant 0 : index
  // The constants below disappear after they propagate into shapes.
  %nine = constant 9 : index
  %N = constant 1024 : index
  %K = constant 512 : index

  // CHECK-NEXT: %0 = alloc(%arg0) : memref<?x1024xf32>
  %a = alloc(%L, %N) : memref<? x ? x f32>

  // CHECK-NEXT: %1 = alloc(%arg1) : memref<4x1024x8x512x?xf32>
  %b = alloc(%N, %K, %M) : memref<4 x ? x 8 x ? x ? x f32>

  // CHECK-NEXT: %2 = alloc() : memref<512x1024xi32>
  %c = alloc(%K, %N) : memref<? x ? x i32>

  // CHECK: affine.for
  affine.for %i = 0 to %L {
    // CHECK-NEXT: affine.for
    affine.for %j = 0 to 10 {
      // CHECK-NEXT: load %0[%arg2, %arg3] : memref<?x1024xf32>
      // CHECK-NEXT: store %{{.*}}, %1[%c0, %c0, %arg2, %arg3, %c0] : memref<4x1024x8x512x?xf32>
      %v = load %a[%i, %j] : memref<?x?xf32>
      store %v, %b[%zero, %zero, %i, %j, %zero] : memref<4x?x8x?x?xf32>
    }
  }

  // CHECK: alloc() : memref<9x9xf32>
  %d = alloc(%nine, %nine) : memref<? x ? x f32>

  return %c, %d : memref<? x ? x i32>, memref<? x ? x f32>
}

#map1 = affine_map<(d0, d1)[s0, s1, s2] -> (d0 * s1 + d1 * s2 + s0)>
#map2 = affine_map<(d0, d1, d2)[s0, s1, s2] -> (d0 * s2 + d1 * s1 + d2 + s0)>

// CHECK-LABEL: func @dim_op_fold(%arg0: index, %arg1: index, %arg2: index,
func @dim_op_fold(%arg0: index, %arg1: index, %arg2: index, %BUF: memref<?xi8>, %M : index, %N : index, %K : index) {
// CHECK-SAME: [[M:arg[0-9]+]]: index
// CHECK-SAME: [[N:arg[0-9]+]]: index
// CHECK-SAME: [[K:arg[0-9]+]]: index
  %c0 = constant 0 : index
  %c1 = constant 1 : index
  %0 = alloc(%arg0, %arg1) : memref<?x?xf32>
  %1 = alloc(%arg1, %arg2) : memref<?x8x?xf32>
  %2 = dim %1, 2 : memref<?x8x?xf32>
  affine.for %arg3 = 0 to %2 {
    %3 = alloc(%arg0) : memref<?xi8>
    %ub = dim %3, 0 : memref<?xi8>
    affine.for %arg4 = 0 to %ub {
      %s = dim %0, 0 : memref<?x?xf32>
      %v = std.view %3[%c0][%arg4, %s] : memref<?xi8> to memref<?x?xf32, #map1>
      %sv = std.subview %0[%c0, %c0][%s,%arg4][%c1,%c1] : memref<?x?xf32> to memref<?x?xf32, #map1>
      %l = dim %v, 1 : memref<?x?xf32, #map1>
      %u = dim %sv, 0 : memref<?x?xf32, #map1>
      affine.for %arg5 = %l to %u {
        "foo"() : () -> ()
      }
    }
  }
  // CHECK-NEXT: %c0 = constant 0 : index
  // CHECK-NEXT: %c1 = constant 1 : index
  // CHECK-NEXT: affine.for %arg7 = 0 to %arg2 {
  // CHECK-NEXT:   affine.for %arg8 = 0 to %arg0 {
  // CHECK-NEXT:     affine.for %arg9 = %arg0 to %arg0 {
  // CHECK-NEXT:       "foo"() : () -> ()
  // CHECK-NEXT:     }
  // CHECK-NEXT:   }
  // CHECK-NEXT: }

  %A = view %BUF[%c0][%M, %K] : memref<?xi8> to memref<?x?xf32, offset: ?, strides: [?, 1]>
  %B = view %BUF[%c0][%K, %N] : memref<?xi8> to memref<?x?xf32, offset: ?, strides: [?, 1]>
  %C = view %BUF[%c0][%M, %N] : memref<?xi8> to memref<?x?xf32, offset: ?, strides: [?, 1]>

  %M_ = dim %A, 0 : memref<?x?xf32, offset: ?, strides: [?, 1]>
  %K_ = dim %A, 1 : memref<?x?xf32, offset: ?, strides: [?, 1]>
  %N_ = dim %C, 1 : memref<?x?xf32, offset: ?, strides: [?, 1]>
  loop.for %i = %c0 to %M_ step %c1 {
    loop.for %j = %c0 to %N_ step %c1 {
      loop.for %k = %c0 to %K_ step %c1 {
      }
    }
  }
  // CHECK: loop.for %{{.*}} = %c0 to %[[M]] step %c1 {
  // CHECK:   loop.for %arg8 = %c0 to %[[N]] step %c1 {
  // CHECK:     loop.for %arg9 = %c0 to %[[K]] step %c1 {
  return
}

// CHECK-LABEL: func @merge_constants
func @merge_constants() -> (index, index) {
  // CHECK-NEXT: %c42 = constant 42 : index
  %0 = constant 42 : index
  %1 = constant 42 : index
  // CHECK-NEXT: return %c42, %c42
  return %0, %1: index, index
}

// CHECK-LABEL: func @hoist_constant
func @hoist_constant(%arg0: memref<8xi32>) {
  // CHECK-NEXT: %c42_i32 = constant 42 : i32
  // CHECK-NEXT: affine.for %arg1 = 0 to 8 {
  affine.for %arg1 = 0 to 8 {
    // CHECK-NEXT: store %c42_i32, %arg0[%arg1]
    %c42_i32 = constant 42 : i32
    store %c42_i32, %arg0[%arg1] : memref<8xi32>
  }
  return
}

// CHECK-LABEL: func @const_fold_propagate
func @const_fold_propagate() -> memref<?x?xf32> {
  %VT_i = constant 512 : index

  %VT_i_s = affine.apply affine_map<(d0) -> (d0 floordiv  8)> (%VT_i)
  %VT_k_l = affine.apply affine_map<(d0) -> (d0 floordiv  16)> (%VT_i)

  // CHECK: = alloc() : memref<64x32xf32>
  %Av = alloc(%VT_i_s, %VT_k_l) : memref<?x?xf32>
  return %Av : memref<?x?xf32>
}

// CHECK-LABEL: func @br_folding
func @br_folding() -> i32 {
  // CHECK-NEXT: %[[CST:.*]] = constant 0 : i32
  // CHECK-NEXT: return %[[CST]] : i32
  %c0_i32 = constant 0 : i32
  br ^bb1(%c0_i32 : i32)
^bb1(%x : i32):
  return %x : i32
}

// CHECK-LABEL: func @cond_br_folding
func @cond_br_folding(%cond : i1, %a : i32) {
  %false_cond = constant 0 : i1
  %true_cond = constant 1 : i1
  cond_br %cond, ^bb1, ^bb2(%a : i32)

^bb1:
  // CHECK: ^bb1:
  // CHECK-NEXT: br ^bb3
  cond_br %true_cond, ^bb3, ^bb2(%a : i32)

^bb2(%x : i32):
  // CHECK: ^bb2
  // CHECK: br ^bb3
  cond_br %false_cond, ^bb2(%x : i32), ^bb3

^bb3:
  return
}

// CHECK-LABEL: func @cond_br_and_br_folding
func @cond_br_and_br_folding(%a : i32) {
  // Test the compound folding of conditional and unconditional branches.
  // CHECK-NEXT: return

  %false_cond = constant 0 : i1
  %true_cond = constant 1 : i1
  cond_br %true_cond, ^bb2, ^bb1(%a : i32)

^bb1(%x : i32):
  cond_br %false_cond, ^bb1(%x : i32), ^bb2

^bb2:
  return
}

// CHECK-LABEL: func @indirect_call_folding
func @indirect_target() {
  return
}

func @indirect_call_folding() {
  // CHECK-NEXT: call @indirect_target() : () -> ()
  // CHECK-NEXT: return
  %indirect_fn = constant @indirect_target : () -> ()
  call_indirect %indirect_fn() : () -> ()
  return
}

//
// IMPORTANT NOTE: the operations in this test are exactly those produced by
// lowering affine.apply affine_map<(i) -> (i mod 42)> to standard operations.  Please only
// change these operations together with the affine lowering pass tests.
//
// CHECK-LABEL: @lowered_affine_mod
func @lowered_affine_mod() -> (index, index) {
// CHECK-NEXT: {{.*}} = constant 41 : index
  %c-43 = constant -43 : index
  %c42 = constant 42 : index
  %0 = remi_signed %c-43, %c42 : index
  %c0 = constant 0 : index
  %1 = cmpi "slt", %0, %c0 : index
  %2 = addi %0, %c42 : index
  %3 = select %1, %2, %0 : index
// CHECK-NEXT: {{.*}} = constant 1 : index
  %c43 = constant 43 : index
  %c42_0 = constant 42 : index
  %4 = remi_signed %c43, %c42_0 : index
  %c0_1 = constant 0 : index
  %5 = cmpi "slt", %4, %c0_1 : index
  %6 = addi %4, %c42_0 : index
  %7 = select %5, %6, %4 : index
  return %3, %7 : index, index
}

//
// IMPORTANT NOTE: the operations in this test are exactly those produced by
// lowering affine.apply affine_map<(i) -> (i mod 42)> to standard operations.  Please only
// change these operations together with the affine lowering pass tests.
//
// CHECK-LABEL: func @lowered_affine_floordiv
func @lowered_affine_floordiv() -> (index, index) {
// CHECK-NEXT: %c-2 = constant -2 : index
  %c-43 = constant -43 : index
  %c42 = constant 42 : index
  %c0 = constant 0 : index
  %c-1 = constant -1 : index
  %0 = cmpi "slt", %c-43, %c0 : index
  %1 = subi %c-1, %c-43 : index
  %2 = select %0, %1, %c-43 : index
  %3 = divi_signed %2, %c42 : index
  %4 = subi %c-1, %3 : index
  %5 = select %0, %4, %3 : index
// CHECK-NEXT: %c1 = constant 1 : index
  %c43 = constant 43 : index
  %c42_0 = constant 42 : index
  %c0_1 = constant 0 : index
  %c-1_2 = constant -1 : index
  %6 = cmpi "slt", %c43, %c0_1 : index
  %7 = subi %c-1_2, %c43 : index
  %8 = select %6, %7, %c43 : index
  %9 = divi_signed %8, %c42_0 : index
  %10 = subi %c-1_2, %9 : index
  %11 = select %6, %10, %9 : index
  return %5, %11 : index, index
}

//
// IMPORTANT NOTE: the operations in this test are exactly those produced by
// lowering affine.apply affine_map<(i) -> (i mod 42)> to standard operations.  Please only
// change these operations together with the affine lowering pass tests.
//
// CHECK-LABEL: func @lowered_affine_ceildiv
func @lowered_affine_ceildiv() -> (index, index) {
// CHECK-NEXT:  %c-1 = constant -1 : index
  %c-43 = constant -43 : index
  %c42 = constant 42 : index
  %c0 = constant 0 : index
  %c1 = constant 1 : index
  %0 = cmpi "sle", %c-43, %c0 : index
  %1 = subi %c0, %c-43 : index
  %2 = subi %c-43, %c1 : index
  %3 = select %0, %1, %2 : index
  %4 = divi_signed %3, %c42 : index
  %5 = subi %c0, %4 : index
  %6 = addi %4, %c1 : index
  %7 = select %0, %5, %6 : index
// CHECK-NEXT:  %c2 = constant 2 : index
  %c43 = constant 43 : index
  %c42_0 = constant 42 : index
  %c0_1 = constant 0 : index
  %c1_2 = constant 1 : index
  %8 = cmpi "sle", %c43, %c0_1 : index
  %9 = subi %c0_1, %c43 : index
  %10 = subi %c43, %c1_2 : index
  %11 = select %8, %9, %10 : index
  %12 = divi_signed %11, %c42_0 : index
  %13 = subi %c0_1, %12 : index
  %14 = addi %12, %c1_2 : index
  %15 = select %8, %13, %14 : index
  return %7, %15 : index, index
}

// Checks that NOP casts are removed.
// CHECK-LABEL: cast_values
func @cast_values(%arg0: tensor<*xi32>, %arg1: memref<?xi32>) -> (tensor<2xi32>, memref<2xi32>) {

  // NOP casts
  %0 = tensor_cast %arg0 : tensor<*xi32> to tensor<*xi32>
  %1 = memref_cast %arg1 : memref<?xi32> to memref<?xi32>

  // CHECK-NEXT: %0 = tensor_cast %arg0 : tensor<*xi32> to tensor<2xi32>
  // CHECK-NEXT: %1 = memref_cast %arg1 : memref<?xi32> to memref<2xi32>
  %2 = tensor_cast %0 : tensor<*xi32> to tensor<2xi32>
  %3 = memref_cast %1 : memref<?xi32> to memref<2xi32>

  // NOP casts
  %4 = tensor_cast %2 : tensor<2xi32> to tensor<2xi32>
  %5 = memref_cast %3 : memref<2xi32> to memref<2xi32>

  // CHECK-NEXT: return %0, %1 : tensor<2xi32>, memref<2xi32>
  return %4, %5 : tensor<2xi32>, memref<2xi32>
}

// -----

#TEST_VIEW_MAP0 = affine_map<(d0, d1)[s0, s1] -> (d0 * s1 + d1 + s0)>
#TEST_VIEW_MAP1 = affine_map<(d0, d1, d2)[s0, s1] -> (d0 * s1 + d1 * s0 + d2)>
#TEST_VIEW_MAP2 = affine_map<(d0, d1)[s0] -> (d0 * 4 + d1 + s0)>

// CHECK-DAG: #[[VIEW_MAP0:map[0-9]+]] = affine_map<(d0, d1) -> (d0 * 11 + d1 + 15)>
// CHECK-DAG: #[[VIEW_MAP1:map[0-9]+]] = affine_map<(d0, d1)[s0] -> (d0 * 11 + s0 + d1)>
// CHECK-DAG: #[[VIEW_MAP2:map[0-9]+]] = affine_map<(d0, d1)[s0] -> (d0 * s0 + d1 + 15)>
// CHECK-DAG: #[[VIEW_MAP3:map[0-9]+]] = affine_map<(d0, d1, d2)[s0] -> (d0 * s0 + d1 * 7 + d2)>
// CHECK-DAG: #[[VIEW_MAP4:map[0-9]+]] = affine_map<(d0, d1) -> (d0 * 4 + d1 + 15)>
// CHECK-DAG: #[[VIEW_MAP5:map[0-9]+]] = affine_map<(d0, d1) -> (d0 * 7 + d1)>

// CHECK-LABEL: func @view
func @view(%arg0 : index) {
  // CHECK: %[[ALLOC_MEM:.*]] = alloc() : memref<2048xi8>
  %0 = alloc() : memref<2048xi8>
  %c0 = constant 0 : index
  %c7 = constant 7 : index
  %c11 = constant 11 : index
  %c15 = constant 15 : index

  // Test: fold constant sizes and offset, update map with static stride/offset.
  // CHECK: std.view %[[ALLOC_MEM]][][] : memref<2048xi8> to memref<7x11xf32, #[[VIEW_MAP0]]>
  %1 = view %0[%c15][%c7, %c11]
    : memref<2048xi8> to memref<?x?xf32, #TEST_VIEW_MAP0>
  load %1[%c0, %c0] : memref<?x?xf32, #TEST_VIEW_MAP0>

  // Test: fold constant sizes but not offset, update map with static stride.
  // Test that we do not a fold dynamic dim which is not produced by a constant.
  // CHECK: std.view %[[ALLOC_MEM]][%arg0][] : memref<2048xi8> to memref<7x11xf32, #[[VIEW_MAP1]]>
  %2 = view %0[%arg0][%c7, %c11]
    : memref<2048xi8> to memref<?x?xf32, #TEST_VIEW_MAP0>
  load %2[%c0, %c0] : memref<?x?xf32, #TEST_VIEW_MAP0>

  // Test: fold constant offset but not sizes, update map with constant offset.
  // Test that we fold constant offset but not dynamic dims.
  // CHECK: std.view %[[ALLOC_MEM]][][%arg0, %arg0] : memref<2048xi8> to memref<?x?xf32, #[[VIEW_MAP2]]>
  %3 = view %0[%c15][%arg0, %arg0]
    : memref<2048xi8> to memref<?x?xf32,  #TEST_VIEW_MAP0>
  load %3[%c0, %c0] : memref<?x?xf32, #TEST_VIEW_MAP0>

  // Test: fold one constant dim, no offset, should update with constant
  // stride on dim 1, but leave dynamic stride on dim 0.
  // CHECK: std.view %[[ALLOC_MEM]][][%arg0, %arg0] : memref<2048xi8> to memref<?x?x7xf32, #[[VIEW_MAP3]]>
  %4 = view %0[][%arg0, %arg0, %c7]
    : memref<2048xi8> to memref<?x?x?xf32, #TEST_VIEW_MAP1>
  load %4[%c0, %c0, %c0] : memref<?x?x?xf32, #TEST_VIEW_MAP1>

  // Test: preserve an existing static dim size while folding a dynamic
  // dimension and offset.
  // CHECK: std.view %[[ALLOC_MEM]][][] : memref<2048xi8> to memref<7x4xf32, #[[VIEW_MAP4]]>
  %5 = view %0[%c15][%c7] : memref<2048xi8> to memref<?x4xf32, #TEST_VIEW_MAP2>
  load %5[%c0, %c0] : memref<?x4xf32, #TEST_VIEW_MAP2>

  // Test: folding static alloc and memref_cast into a view.
  // CHECK: std.view %[[ALLOC_MEM]][][] : memref<2048xi8> to memref<15x7xf32, #[[VIEW_MAP5]]>
  %6 = memref_cast %0 : memref<2048xi8> to memref<?xi8>
  %7 = view %6[%c15][%c7] : memref<?xi8> to memref<?x?xf32>
  load %7[%c0, %c0] : memref<?x?xf32>
  return
}

// -----

// CHECK-DAG: #[[BASE_MAP0:map[0-9]+]] = affine_map<(d0, d1, d2) -> (d0 * 64 + d1 * 4 + d2)>
// CHECK-DAG: #[[SUBVIEW_MAP0:map[0-9]+]] = affine_map<(d0, d1, d2)[s0] -> (d0 * 64 + s0 + d1 * 4 + d2)>
// CHECK-DAG: #[[SUBVIEW_MAP1:map[0-9]+]] = affine_map<(d0, d1, d2) -> (d0 * 64 + d1 * 4 + d2 + 79)>
// CHECK-DAG: #[[SUBVIEW_MAP2:map[0-9]+]] = affine_map<(d0, d1, d2) -> (d0 * 128 + d1 * 28 + d2 * 11)>
// CHECK-DAG: #[[SUBVIEW_MAP3:map[0-9]+]] = affine_map<(d0, d1, d2)[s0, s1, s2, s3] -> (d0 * s1 + s0 + d1 * s2 + d2 * s3)>
// CHECK-DAG: #[[SUBVIEW_MAP4:map[0-9]+]] = affine_map<(d0, d1, d2)[s0] -> (d0 * 128 + s0 + d1 * 28 + d2 * 11)>
// CHECK-DAG: #[[SUBVIEW_MAP5:map[0-9]+]] = affine_map<(d0, d1, d2)[s0, s1, s2] -> (d0 * s0 + d1 * s1 + d2 * s2 + 79)>
// CHECK-DAG: #[[SUBVIEW_MAP6:map[0-9]+]] = affine_map<(d0, d1)[s0] -> (d0 * 4 + s0 + d1)>
// CHECK-DAG: #[[SUBVIEW_MAP7:map[0-9]+]] = affine_map<(d0, d1) -> (d0 * 4 + d1 + 12)>

// CHECK-LABEL: func @subview
// CHECK-SAME: %[[ARG0:.*]]: index, %[[ARG1:.*]]: index
func @subview(%arg0 : index, %arg1 : index) -> (index, index) {
  // CHECK: %[[C0:.*]] = constant 0 : index
  %c0 = constant 0 : index
  // CHECK: %[[C1:.*]] = constant 1 : index
  %c1 = constant 1 : index
  // CHECK: %[[C2:.*]] = constant 2 : index
  %c2 = constant 2 : index
  // CHECK: %[[C7:.*]] = constant 7 : index
  %c7 = constant 7 : index
  // CHECK: %[[C11:.*]] = constant 11 : index
  %c11 = constant 11 : index
  %c15 = constant 15 : index

  // CHECK: %[[ALLOC0:.*]] = alloc()
  %0 = alloc() : memref<8x16x4xf32, affine_map<(d0, d1, d2) -> (d0 * 64 + d1 * 4 + d2)>>

  // Test: subview with constant base memref and constant operands is folded.
  // Note that the subview uses the base memrefs layout map because it used
  // zero offset and unit stride arguments.
  // CHECK: std.subview %[[ALLOC0]][][][] : memref<8x16x4xf32, #[[BASE_MAP0]]> to memref<7x11x2xf32, #[[BASE_MAP0]]>
  %1 = subview %0[%c0, %c0, %c0][%c7, %c11, %c2][%c1, %c1, %c1]
    : memref<8x16x4xf32, affine_map<(d0, d1, d2) -> (d0 * 64 + d1 * 4 + d2)>> to
      memref<?x?x?xf32,
       affine_map<(d0, d1, d2)[s0, s1, s2, s3] -> (d0 * s1 + d1 * s2 + d2 * s3 + s0)>>
  load %1[%c0, %c0, %c0] : memref<?x?x?xf32,
       affine_map<(d0, d1, d2)[s0, s1, s2, s3] -> (d0 * s1 + d1 * s2 + d2 * s3 + s0)>>

  // Test: subview with one dynamic operand should not be folded.
  // CHECK: std.subview %[[ALLOC0]][%[[C0]], %[[ARG0]], %[[C0]]][][] : memref<8x16x4xf32, #[[BASE_MAP0]]> to memref<7x11x15xf32, #[[SUBVIEW_MAP0]]>
  %2 = subview %0[%c0, %arg0, %c0][%c7, %c11, %c15][%c1, %c1, %c1]
    : memref<8x16x4xf32, affine_map<(d0, d1, d2) -> (d0 * 64 + d1 * 4 + d2)>> to
      memref<?x?x?xf32,
       affine_map<(d0, d1, d2)[s0, s1, s2, s3] -> (d0 * s1 + d1 * s2 + d2 * s3 + s0)>>
  load %2[%c0, %c0, %c0] : memref<?x?x?xf32,
       affine_map<(d0, d1, d2)[s0, s1, s2, s3] -> (d0 * s1 + d1 * s2 + d2 * s3 + s0)>>

  // CHECK: %[[ALLOC1:.*]] = alloc(%[[ARG0]])
  %3 = alloc(%arg0) : memref<?x16x4xf32, affine_map<(d0, d1, d2) -> (d0 * 64 + d1 * 4 + d2)>>
  // Test: subview with constant operands but dynamic base memref is folded as long as the strides and offset of the base memref are static.
  // CHECK: std.subview %[[ALLOC1]][][][] : memref<?x16x4xf32, #[[BASE_MAP0]]> to memref<7x11x15xf32, #[[BASE_MAP0]]>
  %4 = subview %3[%c0, %c0, %c0][%c7, %c11, %c15][%c1, %c1, %c1]
    : memref<?x16x4xf32, affine_map<(d0, d1, d2) -> (d0 * 64 + d1 * 4 + d2)>> to
      memref<?x?x?xf32,
       affine_map<(d0, d1, d2)[s0, s1, s2, s3] -> (d0 * s1 + d1 * s2 + d2 * s3 + s0)>>
  load %4[%c0, %c0, %c0] : memref<?x?x?xf32,
       affine_map<(d0, d1, d2)[s0, s1, s2, s3] -> (d0 * s1 + d1 * s2 + d2 * s3 + s0)>>

  // Test: subview offset operands are folded correctly w.r.t. base strides.
  // CHECK: std.subview %[[ALLOC0]][][][] : memref<8x16x4xf32, #[[BASE_MAP0]]> to memref<7x11x2xf32, #[[SUBVIEW_MAP1]]>
  %5 = subview %0[%c1, %c2, %c7][%c7, %c11, %c2][%c1, %c1, %c1]
    : memref<8x16x4xf32, affine_map<(d0, d1, d2) -> (d0 * 64 + d1 * 4 + d2)>> to
      memref<?x?x?xf32,
       affine_map<(d0, d1, d2)[s0, s1, s2, s3] -> (d0 * s1 + d1 * s2 + d2 * s3 + s0)>>
  load %5[%c0, %c0, %c0] : memref<?x?x?xf32,
       affine_map<(d0, d1, d2)[s0, s1, s2, s3] -> (d0 * s1 + d1 * s2 + d2 * s3 + s0)>>

  // Test: subview stride operands are folded correctly w.r.t. base strides.
  // CHECK: std.subview %[[ALLOC0]][][][] : memref<8x16x4xf32, #[[BASE_MAP0]]> to memref<7x11x2xf32, #[[SUBVIEW_MAP2]]>
  %6 = subview %0[%c0, %c0, %c0][%c7, %c11, %c2][%c2, %c7, %c11]
    : memref<8x16x4xf32, affine_map<(d0, d1, d2) -> (d0 * 64 + d1 * 4 + d2)>> to
      memref<?x?x?xf32,
       affine_map<(d0, d1, d2)[s0, s1, s2, s3] -> (d0 * s1 + d1 * s2 + d2 * s3 + s0)>>
  load %6[%c0, %c0, %c0] : memref<?x?x?xf32,
       affine_map<(d0, d1, d2)[s0, s1, s2, s3] -> (d0 * s1 + d1 * s2 + d2 * s3 + s0)>>

  // Test: subview shape are folded, but offsets and strides are not even if base memref is static
  // CHECK: std.subview %[[ALLOC0]][%[[ARG0]], %[[ARG0]], %[[ARG0]]][][%[[ARG1]], %[[ARG1]], %[[ARG1]]] : memref<8x16x4xf32, #[[BASE_MAP0]]> to memref<7x11x2xf32, #[[SUBVIEW_MAP3]]>
  %10 = subview %0[%arg0, %arg0, %arg0][%c7, %c11, %c2][%arg1, %arg1, %arg1] : memref<8x16x4xf32, offset:0, strides:[64, 4, 1]> to memref<?x?x?xf32, offset: ?, strides: [?, ?, ?]>
  load %10[%arg1, %arg1, %arg1] : memref<?x?x?xf32, offset: ?, strides: [?, ?, ?]>

  // Test: subview strides are folded, but offsets and shape are not even if base memref is static
  // CHECK: std.subview %[[ALLOC0]][%[[ARG0]], %[[ARG0]], %[[ARG0]]][%[[ARG1]], %[[ARG1]], %[[ARG1]]][] : memref<8x16x4xf32, #[[BASE_MAP0]]> to memref<?x?x?xf32, #[[SUBVIEW_MAP4]]
  %11 = subview %0[%arg0, %arg0, %arg0][%arg1, %arg1, %arg1][%c2, %c7, %c11] : memref<8x16x4xf32, offset:0, strides:[64, 4, 1]> to memref<?x?x?xf32, offset: ?, strides: [?, ?, ?]>
  load %11[%arg0, %arg0, %arg0] : memref<?x?x?xf32, offset: ?, strides: [?, ?, ?]>

  // Test: subview offsets are folded, but strides and shape are not even if base memref is static
  // CHECK: std.subview %[[ALLOC0]][][%[[ARG1]], %[[ARG1]], %[[ARG1]]][%[[ARG0]], %[[ARG0]], %[[ARG0]]] : memref<8x16x4xf32, #[[BASE_MAP0]]> to memref<?x?x?xf32, #[[SUBVIEW_MAP5]]
  %13 = subview %0[%c1, %c2, %c7][%arg1, %arg1, %arg1][%arg0, %arg0, %arg0] :  memref<8x16x4xf32, offset:0, strides:[64, 4, 1]> to memref<?x?x?xf32, offset: ?, strides: [?, ?, ?]>
  load %13[%arg1, %arg1, %arg1] : memref<?x?x?xf32, offset: ?, strides: [?, ?, ?]>

  // CHECK: %[[ALLOC2:.*]] = alloc(%[[ARG0]], %[[ARG0]], %[[ARG1]])
  %14 = alloc(%arg0, %arg0, %arg1) : memref<?x?x?xf32>
  // Test: subview shape are folded, even if base memref is not static
  // CHECK: std.subview %[[ALLOC2]][%[[ARG0]], %[[ARG0]], %[[ARG0]]][][%[[ARG1]], %[[ARG1]], %[[ARG1]]] : memref<?x?x?xf32> to memref<7x11x2xf32, #[[SUBVIEW_MAP3]]>
  %15 = subview %14[%arg0, %arg0, %arg0][%c7, %c11, %c2][%arg1, %arg1, %arg1] : memref<?x?x?xf32> to memref<?x?x?xf32, offset: ?, strides: [?, ?, ?]>
  load %15[%arg1, %arg1, %arg1] : memref<?x?x?xf32, offset: ?, strides: [?, ?, ?]>

  // TEST: subview strides are not folded when the base memref is not static
  // CHECK: std.subview %[[ALLOC2]][%[[ARG0]], %[[ARG0]], %[[ARG0]]][%[[ARG1]], %[[ARG1]], %[[ARG1]]][%[[C2]], %[[C2]], %[[C2]]] : memref<?x?x?xf32> to memref<?x?x?xf32, #[[SUBVIEW_MAP3]]
  %16 = subview %14[%arg0, %arg0, %arg0][%arg1, %arg1, %arg1][%c2, %c2, %c2] : memref<?x?x?xf32> to memref<?x?x?xf32, offset: ?, strides: [?, ?, ?]>
  load %16[%arg0, %arg0, %arg0] : memref<?x?x?xf32, offset: ?, strides: [?, ?, ?]>

  // TEST: subview offsets are not folded when the base memref is not static
  // CHECK: std.subview %[[ALLOC2]][%[[C1]], %[[C1]], %[[C1]]][%[[ARG0]], %[[ARG0]], %[[ARG0]]][%[[ARG1]], %[[ARG1]], %[[ARG1]]] : memref<?x?x?xf32> to memref<?x?x?xf32, #[[SUBVIEW_MAP3]]
  %17 = subview %14[%c1, %c1, %c1][%arg0, %arg0, %arg0][%arg1, %arg1, %arg1] : memref<?x?x?xf32> to memref<?x?x?xf32, offset: ?, strides: [?, ?, ?]>
  load %17[%arg0, %arg0, %arg0] : memref<?x?x?xf32, offset: ?, strides: [?, ?, ?]>

  // CHECK: %[[ALLOC3:.*]] = alloc() : memref<12x4xf32>
  %18 = alloc() : memref<12x4xf32>
  %c4 = constant 4 : index

  // TEST: subview strides are maintained when sizes are folded
  // CHECK: std.subview %[[ALLOC3]][%arg1, %arg1][][] : memref<12x4xf32> to memref<2x4xf32, #[[SUBVIEW_MAP6]]>
  %19 = subview %18[%arg1, %arg1][%c2, %c4][] : memref<12x4xf32> to memref<?x?xf32, offset: ?, strides:[4, 1]>
  load %19[%arg1, %arg1] : memref<?x?xf32, offset: ?, strides:[4, 1]>

  // TEST: subview strides and sizes are maintained when offsets are folded
  // CHECK: std.subview %[[ALLOC3]][][][] : memref<12x4xf32> to memref<12x4xf32, #[[SUBVIEW_MAP7]]>
  %20 = subview %18[%c2, %c4][][] : memref<12x4xf32> to memref<12x4xf32, offset: ?, strides:[4, 1]>
  load %20[%arg1, %arg1] : memref<12x4xf32, offset: ?, strides:[4, 1]>

  // Test: dim on subview is rewritten to size operand.
  %7 = dim %4, 0 : memref<?x?x?xf32,
       affine_map<(d0, d1, d2)[s0, s1, s2, s3] -> (d0 * s1 + d1 * s2 + d2 * s3 + s0)>>
  %8 = dim %4, 1 : memref<?x?x?xf32,
       affine_map<(d0, d1, d2)[s0, s1, s2, s3] -> (d0 * s1 + d1 * s2 + d2 * s3 + s0)>>

  // CHECK: return %[[C7]], %[[C11]]
  return %7, %8 : index, index
}