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1// NOTE: Assertions have been autogenerated by utils/generate-test-checks.py2// RUN: mlir-opt %s --sparse-reinterpret-map -sparsification | FileCheck %s3 4#Tdd = #sparse_tensor.encoding<{ map = (d0, d1) -> (d0 : dense, d1 : dense) }>5#Tds = #sparse_tensor.encoding<{ map = (d0, d1) -> (d0 : dense, d1 : compressed) }>6#Tsd = #sparse_tensor.encoding<{ map = (d0, d1) -> (d0 : compressed, d1 : dense) }>7#Tss = #sparse_tensor.encoding<{ map = (d0, d1) -> (d0 : compressed, d1 : compressed) }>8 9#trait2 = {10  indexing_maps = [11    affine_map<(i,j) -> (i,j)>,  // A12    affine_map<(i,j) -> (i,j)>,  // B13    affine_map<(i,j) -> (i,j)>   // X (out)14  ],15  iterator_types = ["parallel", "parallel"],16  doc = "X(i,j) = A(i,j) OP B(i,j)"17}18 19// CHECK-LABEL:   func @add_dd(20// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,21// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32x16xf32>,22// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xf32>) -> tensor<32x16xf32> {23// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index24// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 16 : index25// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 0 : index26// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant 1 : index27// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>28// CHECK-DAG:       %[[VAL_8:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32x16xf32> to memref<32x16xf32>29// CHECK-DAG:       %[[VAL_10:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xf32> to memref<32x16xf32>30// CHECK:           linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_10]] : memref<32x16xf32>)31// CHECK:           scf.for %[[VAL_11:.*]] = %[[VAL_5]] to %[[VAL_3]] step %[[VAL_6]] {32// CHECK:             %[[VAL_13:.*]] = arith.muli %[[VAL_11]], %[[VAL_4]] : index33// CHECK:             scf.for %[[VAL_12:.*]] = %[[VAL_5]] to %[[VAL_4]] step %[[VAL_6]] {34// CHECK:               %[[VAL_14:.*]] = arith.addi %[[VAL_12]], %[[VAL_13]] : index35// CHECK:               %[[VAL_15:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_14]]] : memref<?xf32>36// CHECK:               %[[VAL_16:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_11]], %[[VAL_12]]] : memref<32x16xf32>37// CHECK:               %[[VAL_17:.*]] = arith.addf %[[VAL_15]], %[[VAL_16]] : f3238// CHECK:               memref.store %[[VAL_17]], %[[VAL_10]]{{\[}}%[[VAL_11]], %[[VAL_12]]] : memref<32x16xf32>39// CHECK:             }40// CHECK:           }41// CHECK:           %[[VAL_18:.*]] = bufferization.to_tensor %[[VAL_10]] : memref<32x16xf32>42// CHECK:           return %[[VAL_18]] : tensor<32x16xf32>43// CHECK:         }44func.func @add_dd(%arga: tensor<32x16xf32, #Tdd>, %argb: tensor<32x16xf32>, %argx: tensor<32x16xf32>) -> tensor<32x16xf32> {45  %0 = linalg.generic #trait246     ins(%arga, %argb: tensor<32x16xf32, #Tdd>, tensor<32x16xf32>)47    outs(%argx: tensor<32x16xf32>) {48      ^bb(%a: f32, %b: f32, %x: f32):49        %0 = arith.addf %a, %b : f3250        linalg.yield %0 : f3251  } -> tensor<32x16xf32>52  return %0 : tensor<32x16xf32>53}54 55// CHECK-LABEL:   func.func @cmp_dd(56// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,57// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32x16xf32>,58// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xi1>) -> tensor<32x16xi1> {59// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index60// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 16 : index61// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant false62// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant 0 : index63// CHECK-DAG:       %[[VAL_7:.*]] = arith.constant 1 : index64// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>65// CHECK-DAG:       %[[VAL_9:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32x16xf32> to memref<32x16xf32>66// CHECK-DAG:       %[[VAL_10:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xi1> to memref<32x16xi1>67// CHECK:           linalg.fill ins(%[[VAL_5]] : i1) outs(%[[VAL_10]] : memref<32x16xi1>)68// CHECK:           scf.for %[[VAL_11:.*]] = %[[VAL_6]] to %[[VAL_3]] step %[[VAL_7]] {69// CHECK:             %[[VAL_13:.*]] = arith.muli %[[VAL_11]], %[[VAL_4]] : index70// CHECK:             scf.for %[[VAL_12:.*]] = %[[VAL_6]] to %[[VAL_4]] step %[[VAL_7]] {71// CHECK:               %[[VAL_14:.*]] = arith.addi %[[VAL_12]], %[[VAL_13]] : index72// CHECK:               %[[VAL_15:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_14]]] : memref<?xf32>73// CHECK:               %[[VAL_16:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_11]], %[[VAL_12]]] : memref<32x16xf32>74// CHECK:               %[[VAL_17:.*]] = arith.cmpf ult, %[[VAL_15]], %[[VAL_16]] : f3275// CHECK:               memref.store %[[VAL_17]], %[[VAL_10]]{{\[}}%[[VAL_11]], %[[VAL_12]]] : memref<32x16xi1>76// CHECK:             }77// CHECK:           }78// CHECK:           %[[VAL_18:.*]] = bufferization.to_tensor %[[VAL_10]] : memref<32x16xi1>79// CHECK:           return %[[VAL_18]] : tensor<32x16xi1>80// CHECK:         }81func.func @cmp_dd(%arga: tensor<32x16xf32, #Tdd>, %argb: tensor<32x16xf32>, %argx: tensor<32x16xi1>) -> tensor<32x16xi1> {82  %0 = linalg.generic #trait283     ins(%arga, %argb: tensor<32x16xf32, #Tdd>, tensor<32x16xf32>)84    outs(%argx: tensor<32x16xi1>) {85      ^bb(%a: f32, %b: f32, %x: i1):86        %0 = arith.cmpf ult, %a, %b : f3287        linalg.yield %0 : i188  } -> tensor<32x16xi1>89  return %0 : tensor<32x16xi1>90}91 92// CHECK-LABEL:   func @mul_dd(93// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,94// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32x16xf32>,95// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xf32>) -> tensor<32x16xf32> {96// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index97// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 16 : index98// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 0 : index99// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant 1 : index100// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>101// CHECK-DAG:       %[[VAL_8:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32x16xf32> to memref<32x16xf32>102// CHECK-DAG:       %[[VAL_10:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xf32> to memref<32x16xf32>103// CHECK:           linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_10]] : memref<32x16xf32>)104// CHECK:           scf.for %[[VAL_11:.*]] = %[[VAL_5]] to %[[VAL_3]] step %[[VAL_6]] {105// CHECK:             %[[VAL_13:.*]] = arith.muli %[[VAL_11]], %[[VAL_4]] : index106// CHECK:             scf.for %[[VAL_12:.*]] = %[[VAL_5]] to %[[VAL_4]] step %[[VAL_6]] {107// CHECK:               %[[VAL_14:.*]] = arith.addi %[[VAL_12]], %[[VAL_13]] : index108// CHECK:               %[[VAL_15:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_14]]] : memref<?xf32>109// CHECK:               %[[VAL_16:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_11]], %[[VAL_12]]] : memref<32x16xf32>110// CHECK:               %[[VAL_17:.*]] = arith.mulf %[[VAL_15]], %[[VAL_16]] : f32111// CHECK:               memref.store %[[VAL_17]], %[[VAL_10]]{{\[}}%[[VAL_11]], %[[VAL_12]]] : memref<32x16xf32>112// CHECK:             }113// CHECK:           }114// CHECK:           %[[VAL_18:.*]] = bufferization.to_tensor %[[VAL_10]] : memref<32x16xf32>115// CHECK:           return %[[VAL_18]] : tensor<32x16xf32>116// CHECK:         }117func.func @mul_dd(%arga: tensor<32x16xf32, #Tdd>, %argb: tensor<32x16xf32>, %argx: tensor<32x16xf32>) -> tensor<32x16xf32> {118  %0 = linalg.generic #trait2119     ins(%arga, %argb: tensor<32x16xf32, #Tdd>, tensor<32x16xf32>)120    outs(%argx: tensor<32x16xf32>) {121      ^bb(%a: f32, %b: f32, %x: f32):122        %0 = arith.mulf %a, %b : f32123        linalg.yield %0 : f32124  } -> tensor<32x16xf32>125  return %0 : tensor<32x16xf32>126}127 128// CHECK-LABEL:   func @add_ds(129// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,130// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32x16xf32>,131// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xf32>) -> tensor<32x16xf32> {132// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index133// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 16 : index134// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 0 : index135// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant true136// CHECK-DAG:       %[[VAL_7:.*]] = arith.constant 1 : index137// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>138// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>139// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>140// CHECK-DAG:       %[[VAL_11:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32x16xf32> to memref<32x16xf32>141// CHECK-DAG:       %[[VAL_13:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xf32> to memref<32x16xf32>142// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_13]] : memref<32x16xf32>)143// CHECK:           scf.for %[[VAL_14:.*]] = %[[VAL_5]] to %[[VAL_3]] step %[[VAL_7]] {144// CHECK:             %[[VAL_15:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_14]]] : memref<?xindex>145// CHECK:             %[[VAL_16:.*]] = arith.addi %[[VAL_14]], %[[VAL_7]] : index146// CHECK:             %[[VAL_17:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_16]]] : memref<?xindex>147// CHECK:             %[[VAL_18:.*]]:2 = scf.while (%[[VAL_19:.*]] = %[[VAL_15]], %[[VAL_20:.*]] = %[[VAL_5]]) : (index, index) -> (index, index) {148// CHECK:               %[[VAL_21:.*]] = arith.cmpi ult, %[[VAL_19]], %[[VAL_17]] : index149// CHECK:               scf.condition(%[[VAL_21]]) %[[VAL_19]], %[[VAL_20]] : index, index150// CHECK:             } do {151// CHECK:             ^bb0(%[[VAL_22:.*]]: index, %[[VAL_23:.*]]: index):152// CHECK:               %[[VAL_24:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_22]]] : memref<?xindex>153// CHECK:               %[[VAL_25:.*]] = arith.cmpi eq, %[[VAL_24]], %[[VAL_23]] : index154// CHECK:               scf.if %[[VAL_25]] {155// CHECK:                 %[[VAL_26:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_22]]] : memref<?xf32>156// CHECK:                 %[[VAL_27:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_14]], %[[VAL_23]]] : memref<32x16xf32>157// CHECK:                 %[[VAL_28:.*]] = arith.addf %[[VAL_26]], %[[VAL_27]] : f32158// CHECK:                 memref.store %[[VAL_28]], %[[VAL_13]]{{\[}}%[[VAL_14]], %[[VAL_23]]] : memref<32x16xf32>159// CHECK:               } else {160// CHECK:                 scf.if %[[VAL_6]] {161// CHECK:                   %[[VAL_29:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_14]], %[[VAL_23]]] : memref<32x16xf32>162// CHECK:                   memref.store %[[VAL_29]], %[[VAL_13]]{{\[}}%[[VAL_14]], %[[VAL_23]]] : memref<32x16xf32>163// CHECK:                 } else {164// CHECK:                 }165// CHECK:               }166// CHECK:               %[[VAL_30:.*]] = arith.cmpi eq, %[[VAL_24]], %[[VAL_23]] : index167// CHECK:               %[[VAL_31:.*]] = arith.addi %[[VAL_22]], %[[VAL_7]] : index168// CHECK:               %[[VAL_32:.*]] = arith.select %[[VAL_30]], %[[VAL_31]], %[[VAL_22]] : index169// CHECK:               %[[VAL_33:.*]] = arith.addi %[[VAL_23]], %[[VAL_7]] : index170// CHECK:               scf.yield %[[VAL_32]], %[[VAL_33]] : index, index171// CHECK:             }172// CHECK:             scf.for %[[VAL_34:.*]] = %[[VAL_35:.*]]#1 to %[[VAL_4]] step %[[VAL_7]] {173// CHECK:               %[[VAL_36:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_14]], %[[VAL_34]]] : memref<32x16xf32>174// CHECK:               memref.store %[[VAL_36]], %[[VAL_13]]{{\[}}%[[VAL_14]], %[[VAL_34]]] : memref<32x16xf32>175// CHECK:             }176// CHECK:           }177// CHECK:           %[[VAL_37:.*]] = bufferization.to_tensor %[[VAL_13]] : memref<32x16xf32>178// CHECK:           return %[[VAL_37]] : tensor<32x16xf32>179// CHECK:         }180func.func @add_ds(%arga: tensor<32x16xf32, #Tds>, %argb: tensor<32x16xf32>, %argx: tensor<32x16xf32>) -> tensor<32x16xf32> {181  %0 = linalg.generic #trait2182     ins(%arga, %argb: tensor<32x16xf32, #Tds>, tensor<32x16xf32>)183    outs(%argx: tensor<32x16xf32>) {184      ^bb(%a: f32, %b: f32, %x: f32):185        %0 = arith.addf %a, %b : f32186        linalg.yield %0 : f32187  } -> tensor<32x16xf32>188  return %0 : tensor<32x16xf32>189}190 191// CHECK-LABEL:   func.func @cmp_ds(192// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,193// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32x16xf32>,194// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xi1>) -> tensor<32x16xi1> {195// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index196// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 16 : index197// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant false198// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant 0 : index199// CHECK-DAG:       %[[VAL_7:.*]] = arith.constant 1 : index200// CHECK-DAG:       %[[VAL_8:.*]] = arith.constant true201// CHECK-DAG:       %[[VAL_9:.*]] = arith.constant 0.000000e+00 : f32202// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>203// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>204// CHECK-DAG:       %[[VAL_12:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>205// CHECK-DAG:       %[[VAL_13:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32x16xf32> to memref<32x16xf32>206// CHECK-DAG:       %[[VAL_14:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xi1> to memref<32x16xi1>207// CHECK-DAG:       linalg.fill ins(%[[VAL_5]] : i1) outs(%[[VAL_14]] : memref<32x16xi1>)208// CHECK:           scf.for %[[VAL_15:.*]] = %[[VAL_6]] to %[[VAL_3]] step %[[VAL_7]] {209// CHECK:             %[[VAL_16:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_15]]] : memref<?xindex>210// CHECK:             %[[VAL_17:.*]] = arith.addi %[[VAL_15]], %[[VAL_7]] : index211// CHECK:             %[[VAL_18:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_17]]] : memref<?xindex>212// CHECK:             %[[VAL_19:.*]]:2 = scf.while (%[[VAL_20:.*]] = %[[VAL_16]], %[[VAL_21:.*]] = %[[VAL_6]]) : (index, index) -> (index, index) {213// CHECK:               %[[VAL_22:.*]] = arith.cmpi ult, %[[VAL_20]], %[[VAL_18]] : index214// CHECK:               scf.condition(%[[VAL_22]]) %[[VAL_20]], %[[VAL_21]] : index, index215// CHECK:             } do {216// CHECK:             ^bb0(%[[VAL_23:.*]]: index, %[[VAL_24:.*]]: index):217// CHECK:               %[[VAL_25:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_23]]] : memref<?xindex>218// CHECK:               %[[VAL_26:.*]] = arith.cmpi eq, %[[VAL_25]], %[[VAL_24]] : index219// CHECK:               scf.if %[[VAL_26]] {220// CHECK:                 %[[VAL_27:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_23]]] : memref<?xf32>221// CHECK:                 %[[VAL_28:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_15]], %[[VAL_24]]] : memref<32x16xf32>222// CHECK:                 %[[VAL_29:.*]] = arith.cmpf ult, %[[VAL_27]], %[[VAL_28]] : f32223// CHECK:                 memref.store %[[VAL_29]], %[[VAL_14]]{{\[}}%[[VAL_15]], %[[VAL_24]]] : memref<32x16xi1>224// CHECK:               } else {225// CHECK:                 scf.if %[[VAL_8]] {226// CHECK:                   %[[VAL_30:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_15]], %[[VAL_24]]] : memref<32x16xf32>227// CHECK:                   %[[VAL_31:.*]] = arith.cmpf ult, %[[VAL_9]], %[[VAL_30]] : f32228// CHECK:                   memref.store %[[VAL_31]], %[[VAL_14]]{{\[}}%[[VAL_15]], %[[VAL_24]]] : memref<32x16xi1>229// CHECK:                 } else {230// CHECK:                 }231// CHECK:               }232// CHECK:               %[[VAL_32:.*]] = arith.cmpi eq, %[[VAL_25]], %[[VAL_24]] : index233// CHECK:               %[[VAL_33:.*]] = arith.addi %[[VAL_23]], %[[VAL_7]] : index234// CHECK:               %[[VAL_34:.*]] = arith.select %[[VAL_32]], %[[VAL_33]], %[[VAL_23]] : index235// CHECK:               %[[VAL_35:.*]] = arith.addi %[[VAL_24]], %[[VAL_7]] : index236// CHECK:               scf.yield %[[VAL_34]], %[[VAL_35]] : index, index237// CHECK:             } attributes238// CHECK:             scf.for %[[VAL_36:.*]] = %[[VAL_37:.*]]#1 to %[[VAL_4]] step %[[VAL_7]] {239// CHECK:               %[[VAL_38:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_15]], %[[VAL_36]]] : memref<32x16xf32>240// CHECK:               %[[VAL_39:.*]] = arith.cmpf ult, %[[VAL_9]], %[[VAL_38]] : f32241// CHECK:               memref.store %[[VAL_39]], %[[VAL_14]]{{\[}}%[[VAL_15]], %[[VAL_36]]] : memref<32x16xi1>242// CHECK:             }243// CHECK:           }244// CHECK:           %[[VAL_40:.*]] = bufferization.to_tensor %[[VAL_14]] : memref<32x16xi1>245// CHECK:           return %[[VAL_40]] : tensor<32x16xi1>246// CHECK:         }247func.func @cmp_ds(%arga: tensor<32x16xf32, #Tds>, %argb: tensor<32x16xf32>, %argx: tensor<32x16xi1>) -> tensor<32x16xi1> {248  %0 = linalg.generic #trait2249     ins(%arga, %argb: tensor<32x16xf32, #Tds>, tensor<32x16xf32>)250    outs(%argx: tensor<32x16xi1>) {251      ^bb(%a: f32, %b: f32, %x: i1):252        %0 = arith.cmpf ult, %a, %b : f32253        linalg.yield %0 : i1254  } -> tensor<32x16xi1>255  return %0 : tensor<32x16xi1>256}257 258// CHECK-LABEL:   func @mul_ds(259// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,260// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32x16xf32>,261// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xf32>) -> tensor<32x16xf32> {262// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index263// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index264// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 1 : index265// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>266// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>267// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>268// CHECK-DAG:       %[[VAL_9:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32x16xf32> to memref<32x16xf32>269// CHECK-DAG:       %[[VAL_11:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xf32> to memref<32x16xf32>270// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_11]] : memref<32x16xf32>)271// CHECK:           scf.for %[[VAL_12:.*]] = %[[VAL_4]] to %[[VAL_3]] step %[[VAL_5]] {272// CHECK:             %[[VAL_13:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_12]]] : memref<?xindex>273// CHECK:             %[[VAL_14:.*]] = arith.addi %[[VAL_12]], %[[VAL_5]] : index274// CHECK:             %[[VAL_15:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_14]]] : memref<?xindex>275// CHECK:             scf.for %[[VAL_16:.*]] = %[[VAL_13]] to %[[VAL_15]] step %[[VAL_5]] {276// CHECK:               %[[VAL_17:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_16]]] : memref<?xindex>277// CHECK:               %[[VAL_18:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_16]]] : memref<?xf32>278// CHECK:               %[[VAL_19:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_12]], %[[VAL_17]]] : memref<32x16xf32>279// CHECK:               %[[VAL_20:.*]] = arith.mulf %[[VAL_18]], %[[VAL_19]] : f32280// CHECK:               memref.store %[[VAL_20]], %[[VAL_11]]{{\[}}%[[VAL_12]], %[[VAL_17]]] : memref<32x16xf32>281// CHECK:             }282// CHECK:           }283// CHECK:           %[[VAL_21:.*]] = bufferization.to_tensor %[[VAL_11]] : memref<32x16xf32>284// CHECK:           return %[[VAL_21]] : tensor<32x16xf32>285// CHECK:         }286func.func @mul_ds(%arga: tensor<32x16xf32, #Tds>, %argb: tensor<32x16xf32>, %argx: tensor<32x16xf32>) -> tensor<32x16xf32> {287  %0 = linalg.generic #trait2288     ins(%arga, %argb: tensor<32x16xf32, #Tds>, tensor<32x16xf32>)289    outs(%argx: tensor<32x16xf32>) {290      ^bb(%a: f32, %b: f32, %x: f32):291        %0 = arith.mulf %a, %b : f32292        linalg.yield %0 : f32293  } -> tensor<32x16xf32>294  return %0 : tensor<32x16xf32>295}296 297// CHECK-LABEL:   func @add_sd(298// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,299// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32x16xf32>,300// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xf32>) -> tensor<32x16xf32> {301// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index302// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 16 : index303// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant true304// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant 0 : index305// CHECK-DAG:       %[[VAL_7:.*]] = arith.constant 1 : index306// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>307// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>308// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>309// CHECK-DAG:       %[[VAL_11:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32x16xf32> to memref<32x16xf32>310// CHECK-DAG:       %[[VAL_13:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xf32> to memref<32x16xf32>311// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_13]] : memref<32x16xf32>)312// CHECK:           %[[VAL_14:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_6]]] : memref<?xindex>313// CHECK:           %[[VAL_15:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_7]]] : memref<?xindex>314// CHECK:           %[[VAL_16:.*]]:2 = scf.while (%[[VAL_17:.*]] = %[[VAL_14]], %[[VAL_18:.*]] = %[[VAL_6]]) : (index, index) -> (index, index) {315// CHECK:             %[[VAL_19:.*]] = arith.cmpi ult, %[[VAL_17]], %[[VAL_15]] : index316// CHECK:             scf.condition(%[[VAL_19]]) %[[VAL_17]], %[[VAL_18]] : index, index317// CHECK:           } do {318// CHECK:           ^bb0(%[[VAL_20:.*]]: index, %[[VAL_21:.*]]: index):319// CHECK:             %[[VAL_22:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_20]]] : memref<?xindex>320// CHECK:             %[[VAL_23:.*]] = arith.cmpi eq, %[[VAL_22]], %[[VAL_21]] : index321// CHECK:             scf.if %[[VAL_23]] {322// CHECK:               %[[VAL_25:.*]] = arith.muli %[[VAL_20]], %[[VAL_4]] : index323// CHECK:               scf.for %[[VAL_24:.*]] = %[[VAL_6]] to %[[VAL_4]] step %[[VAL_7]] {324// CHECK:                 %[[VAL_26:.*]] = arith.addi %[[VAL_24]], %[[VAL_25]] : index325// CHECK:                 %[[VAL_27:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_26]]] : memref<?xf32>326// CHECK:                 %[[VAL_28:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_21]], %[[VAL_24]]] : memref<32x16xf32>327// CHECK:                 %[[VAL_29:.*]] = arith.addf %[[VAL_27]], %[[VAL_28]] : f32328// CHECK:                 memref.store %[[VAL_29]], %[[VAL_13]]{{\[}}%[[VAL_21]], %[[VAL_24]]] : memref<32x16xf32>329// CHECK:               }330// CHECK:             } else {331// CHECK:               scf.if %[[VAL_5]] {332// CHECK:                 scf.for %[[VAL_30:.*]] = %[[VAL_6]] to %[[VAL_4]] step %[[VAL_7]] {333// CHECK:                   %[[VAL_31:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_21]], %[[VAL_30]]] : memref<32x16xf32>334// CHECK:                   memref.store %[[VAL_31]], %[[VAL_13]]{{\[}}%[[VAL_21]], %[[VAL_30]]] : memref<32x16xf32>335// CHECK:                 }336// CHECK:               } else {337// CHECK:               }338// CHECK:             }339// CHECK:             %[[VAL_32:.*]] = arith.cmpi eq, %[[VAL_22]], %[[VAL_21]] : index340// CHECK:             %[[VAL_33:.*]] = arith.addi %[[VAL_20]], %[[VAL_7]] : index341// CHECK:             %[[VAL_34:.*]] = arith.select %[[VAL_32]], %[[VAL_33]], %[[VAL_20]] : index342// CHECK:             %[[VAL_35:.*]] = arith.addi %[[VAL_21]], %[[VAL_7]] : index343// CHECK:             scf.yield %[[VAL_34]], %[[VAL_35]] : index, index344// CHECK:           }345// CHECK:           scf.for %[[VAL_36:.*]] = %[[VAL_37:.*]]#1 to %[[VAL_3]] step %[[VAL_7]] {346// CHECK:             scf.for %[[VAL_38:.*]] = %[[VAL_6]] to %[[VAL_4]] step %[[VAL_7]] {347// CHECK:               %[[VAL_39:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_36]], %[[VAL_38]]] : memref<32x16xf32>348// CHECK:               memref.store %[[VAL_39]], %[[VAL_13]]{{\[}}%[[VAL_36]], %[[VAL_38]]] : memref<32x16xf32>349// CHECK:             }350// CHECK:           }351// CHECK:           %[[VAL_40:.*]] = bufferization.to_tensor %[[VAL_13]] : memref<32x16xf32>352// CHECK:           return %[[VAL_40]] : tensor<32x16xf32>353// CHECK:         }354func.func @add_sd(%arga: tensor<32x16xf32, #Tsd>, %argb: tensor<32x16xf32>, %argx: tensor<32x16xf32>) -> tensor<32x16xf32> {355  %0 = linalg.generic #trait2356     ins(%arga, %argb: tensor<32x16xf32, #Tsd>, tensor<32x16xf32>)357    outs(%argx: tensor<32x16xf32>) {358      ^bb(%a: f32, %b: f32, %x: f32):359        %0 = arith.addf %a, %b : f32360        linalg.yield %0 : f32361  } -> tensor<32x16xf32>362  return %0 : tensor<32x16xf32>363}364 365// CHECK-LABEL:   func.func @cmp_sd(366// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,367// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32x16xf32>,368// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xi1>) -> tensor<32x16xi1> {369// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 16 : index370// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 32 : index371// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant false372// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant 0 : index373// CHECK-DAG:       %[[VAL_7:.*]] = arith.constant 1 : index374// CHECK-DAG:       %[[VAL_8:.*]] = arith.constant true375// CHECK-DAG:       %[[VAL_9:.*]] = arith.constant 0.000000e+00 : f32376// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>377// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>378// CHECK-DAG:       %[[VAL_12:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>379// CHECK-DAG:           %[[VAL_13:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32x16xf32> to memref<32x16xf32>380// CHECK-DAG:           %[[VAL_14:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xi1> to memref<32x16xi1>381// CHECK-DAG:           linalg.fill ins(%[[VAL_5]] : i1) outs(%[[VAL_14]] : memref<32x16xi1>)382// CHECK:           %[[VAL_15:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_6]]] : memref<?xindex>383// CHECK:           %[[VAL_16:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_7]]] : memref<?xindex>384// CHECK:           %[[VAL_17:.*]]:2 = scf.while (%[[VAL_18:.*]] = %[[VAL_15]], %[[VAL_19:.*]] = %[[VAL_6]]) : (index, index) -> (index, index) {385// CHECK:             %[[VAL_20:.*]] = arith.cmpi ult, %[[VAL_18]], %[[VAL_16]] : index386// CHECK:             scf.condition(%[[VAL_20]]) %[[VAL_18]], %[[VAL_19]] : index, index387// CHECK:           } do {388// CHECK:           ^bb0(%[[VAL_21:.*]]: index, %[[VAL_22:.*]]: index):389// CHECK:             %[[VAL_23:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_21]]] : memref<?xindex>390// CHECK:             %[[VAL_24:.*]] = arith.cmpi eq, %[[VAL_23]], %[[VAL_22]] : index391// CHECK:             scf.if %[[VAL_24]] {392// CHECK:               %[[VAL_26:.*]] = arith.muli %[[VAL_21]], %[[VAL_3]] : index393// CHECK:               scf.for %[[VAL_25:.*]] = %[[VAL_6]] to %[[VAL_3]] step %[[VAL_7]] {394// CHECK:                 %[[VAL_27:.*]] = arith.addi %[[VAL_25]], %[[VAL_26]] : index395// CHECK:                 %[[VAL_28:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_27]]] : memref<?xf32>396// CHECK:                 %[[VAL_29:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_22]], %[[VAL_25]]] : memref<32x16xf32>397// CHECK:                 %[[VAL_30:.*]] = arith.cmpf ult, %[[VAL_28]], %[[VAL_29]] : f32398// CHECK:                 memref.store %[[VAL_30]], %[[VAL_14]]{{\[}}%[[VAL_22]], %[[VAL_25]]] : memref<32x16xi1>399// CHECK:               }400// CHECK:             } else {401// CHECK:               scf.if %[[VAL_8]] {402// CHECK:                 scf.for %[[VAL_31:.*]] = %[[VAL_6]] to %[[VAL_3]] step %[[VAL_7]] {403// CHECK:                   %[[VAL_32:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_22]], %[[VAL_31]]] : memref<32x16xf32>404// CHECK:                   %[[VAL_33:.*]] = arith.cmpf ult, %[[VAL_9]], %[[VAL_32]] : f32405// CHECK:                   memref.store %[[VAL_33]], %[[VAL_14]]{{\[}}%[[VAL_22]], %[[VAL_31]]] : memref<32x16xi1>406// CHECK:                 }407// CHECK:               } else {408// CHECK:               }409// CHECK:             }410// CHECK:             %[[VAL_34:.*]] = arith.cmpi eq, %[[VAL_23]], %[[VAL_22]] : index411// CHECK:             %[[VAL_35:.*]] = arith.addi %[[VAL_21]], %[[VAL_7]] : index412// CHECK:             %[[VAL_36:.*]] = arith.select %[[VAL_34]], %[[VAL_35]], %[[VAL_21]] : index413// CHECK:             %[[VAL_37:.*]] = arith.addi %[[VAL_22]], %[[VAL_7]] : index414// CHECK:             scf.yield %[[VAL_36]], %[[VAL_37]] : index, index415// CHECK:           } attributes416// CHECK:           scf.for %[[VAL_38:.*]] = %[[VAL_39:.*]]#1 to %[[VAL_4]] step %[[VAL_7]] {417// CHECK:             scf.for %[[VAL_40:.*]] = %[[VAL_6]] to %[[VAL_3]] step %[[VAL_7]] {418// CHECK:               %[[VAL_41:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_38]], %[[VAL_40]]] : memref<32x16xf32>419// CHECK:               %[[VAL_42:.*]] = arith.cmpf ult, %[[VAL_9]], %[[VAL_41]] : f32420// CHECK:               memref.store %[[VAL_42]], %[[VAL_14]]{{\[}}%[[VAL_38]], %[[VAL_40]]] : memref<32x16xi1>421// CHECK:             }422// CHECK:           }423// CHECK:           %[[VAL_43:.*]] = bufferization.to_tensor %[[VAL_14]] : memref<32x16xi1>424// CHECK:           return %[[VAL_43]] : tensor<32x16xi1>425// CHECK:         }426func.func @cmp_sd(%arga: tensor<32x16xf32, #Tsd>, %argb: tensor<32x16xf32>, %argx: tensor<32x16xi1>) -> tensor<32x16xi1> {427  %0 = linalg.generic #trait2428     ins(%arga, %argb: tensor<32x16xf32, #Tsd>, tensor<32x16xf32>)429    outs(%argx: tensor<32x16xi1>) {430      ^bb(%a: f32, %b: f32, %x: i1):431        %0 = arith.cmpf ult, %a, %b : f32432        linalg.yield %0 : i1433  } -> tensor<32x16xi1>434  return %0 : tensor<32x16xi1>435}436 437// CHECK-LABEL:   func @mul_sd(438// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,439// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32x16xf32>,440// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xf32>) -> tensor<32x16xf32> {441// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 16 : index442// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index443// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 1 : index444// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>445// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>446// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>447// CHECK-DAG:       %[[VAL_9:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32x16xf32> to memref<32x16xf32>448// CHECK-DAG:       %[[VAL_11:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xf32> to memref<32x16xf32>449// CHECK-DAG:           linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_11]] : memref<32x16xf32>)450// CHECK:           %[[VAL_12:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_4]]] : memref<?xindex>451// CHECK:           %[[VAL_13:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_5]]] : memref<?xindex>452// CHECK:           scf.for %[[VAL_14:.*]] = %[[VAL_12]] to %[[VAL_13]] step %[[VAL_5]] {453// CHECK:             %[[VAL_15:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_14]]] : memref<?xindex>454// CHECK:             %[[VAL_17:.*]] = arith.muli %[[VAL_14]], %[[VAL_3]] : index455// CHECK:             scf.for %[[VAL_16:.*]] = %[[VAL_4]] to %[[VAL_3]] step %[[VAL_5]] {456// CHECK:               %[[VAL_18:.*]] = arith.addi %[[VAL_16]], %[[VAL_17]] : index457// CHECK:               %[[VAL_19:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_18]]] : memref<?xf32>458// CHECK:               %[[VAL_20:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_15]], %[[VAL_16]]] : memref<32x16xf32>459// CHECK:               %[[VAL_21:.*]] = arith.mulf %[[VAL_19]], %[[VAL_20]] : f32460// CHECK:               memref.store %[[VAL_21]], %[[VAL_11]]{{\[}}%[[VAL_15]], %[[VAL_16]]] : memref<32x16xf32>461// CHECK:             }462// CHECK:           }463// CHECK:           %[[VAL_22:.*]] = bufferization.to_tensor %[[VAL_11]] : memref<32x16xf32>464// CHECK:           return %[[VAL_22]] : tensor<32x16xf32>465// CHECK:         }466func.func @mul_sd(%arga: tensor<32x16xf32, #Tsd>, %argb: tensor<32x16xf32>, %argx: tensor<32x16xf32>) -> tensor<32x16xf32> {467  %0 = linalg.generic #trait2468     ins(%arga, %argb: tensor<32x16xf32, #Tsd>, tensor<32x16xf32>)469    outs(%argx: tensor<32x16xf32>) {470      ^bb(%a: f32, %b: f32, %x: f32):471        %0 = arith.mulf %a, %b : f32472        linalg.yield %0 : f32473  } -> tensor<32x16xf32>474  return %0 : tensor<32x16xf32>475}476 477// CHECK-LABEL:   func @add_ss(478// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,479// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32x16xf32>,480// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xf32>) -> tensor<32x16xf32> {481// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index482// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 16 : index483// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant true484// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant 0 : index485// CHECK-DAG:       %[[VAL_7:.*]] = arith.constant 1 : index486// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>487// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>488// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>489// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>490// CHECK-DAG:       %[[VAL_12:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>491// CHECK-DAG:       %[[VAL_13:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32x16xf32> to memref<32x16xf32>492// CHECK-DAG:       %[[VAL_15:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xf32> to memref<32x16xf32>493// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_15]] : memref<32x16xf32>)494// CHECK:           %[[VAL_16:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_6]]] : memref<?xindex>495// CHECK:           %[[VAL_17:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_7]]] : memref<?xindex>496// CHECK:           %[[VAL_18:.*]]:2 = scf.while (%[[VAL_19:.*]] = %[[VAL_16]], %[[VAL_20:.*]] = %[[VAL_6]]) : (index, index) -> (index, index) {497// CHECK:             %[[VAL_21:.*]] = arith.cmpi ult, %[[VAL_19]], %[[VAL_17]] : index498// CHECK:             scf.condition(%[[VAL_21]]) %[[VAL_19]], %[[VAL_20]] : index, index499// CHECK:           } do {500// CHECK:           ^bb0(%[[VAL_22:.*]]: index, %[[VAL_23:.*]]: index):501// CHECK:             %[[VAL_24:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_22]]] : memref<?xindex>502// CHECK:             %[[VAL_25:.*]] = arith.cmpi eq, %[[VAL_24]], %[[VAL_23]] : index503// CHECK:             scf.if %[[VAL_25]] {504// CHECK:               %[[VAL_26:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_22]]] : memref<?xindex>505// CHECK:               %[[VAL_27:.*]] = arith.addi %[[VAL_22]], %[[VAL_7]] : index506// CHECK:               %[[VAL_28:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_27]]] : memref<?xindex>507// CHECK:               %[[VAL_29:.*]]:2 = scf.while (%[[VAL_30:.*]] = %[[VAL_26]], %[[VAL_31:.*]] = %[[VAL_6]]) : (index, index) -> (index, index) {508// CHECK:                 %[[VAL_32:.*]] = arith.cmpi ult, %[[VAL_30]], %[[VAL_28]] : index509// CHECK:                 scf.condition(%[[VAL_32]]) %[[VAL_30]], %[[VAL_31]] : index, index510// CHECK:               } do {511// CHECK:               ^bb0(%[[VAL_33:.*]]: index, %[[VAL_34:.*]]: index):512// CHECK:                 %[[VAL_35:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_33]]] : memref<?xindex>513// CHECK:                 %[[VAL_36:.*]] = arith.cmpi eq, %[[VAL_35]], %[[VAL_34]] : index514// CHECK:                 scf.if %[[VAL_36]] {515// CHECK:                   %[[VAL_37:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_33]]] : memref<?xf32>516// CHECK:                   %[[VAL_38:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_23]], %[[VAL_34]]] : memref<32x16xf32>517// CHECK:                   %[[VAL_39:.*]] = arith.addf %[[VAL_37]], %[[VAL_38]] : f32518// CHECK:                   memref.store %[[VAL_39]], %[[VAL_15]]{{\[}}%[[VAL_23]], %[[VAL_34]]] : memref<32x16xf32>519// CHECK:                 } else {520// CHECK:                   scf.if %[[VAL_5]] {521// CHECK:                     %[[VAL_40:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_23]], %[[VAL_34]]] : memref<32x16xf32>522// CHECK:                     memref.store %[[VAL_40]], %[[VAL_15]]{{\[}}%[[VAL_23]], %[[VAL_34]]] : memref<32x16xf32>523// CHECK:                   } else {524// CHECK:                   }525// CHECK:                 }526// CHECK:                 %[[VAL_41:.*]] = arith.cmpi eq, %[[VAL_35]], %[[VAL_34]] : index527// CHECK:                 %[[VAL_42:.*]] = arith.addi %[[VAL_33]], %[[VAL_7]] : index528// CHECK:                 %[[VAL_43:.*]] = arith.select %[[VAL_41]], %[[VAL_42]], %[[VAL_33]] : index529// CHECK:                 %[[VAL_44:.*]] = arith.addi %[[VAL_34]], %[[VAL_7]] : index530// CHECK:                 scf.yield %[[VAL_43]], %[[VAL_44]] : index, index531// CHECK:               }532// CHECK:               scf.for %[[VAL_45:.*]] = %[[VAL_46:.*]]#1 to %[[VAL_4]] step %[[VAL_7]] {533// CHECK:                 %[[VAL_47:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_23]], %[[VAL_45]]] : memref<32x16xf32>534// CHECK:                 memref.store %[[VAL_47]], %[[VAL_15]]{{\[}}%[[VAL_23]], %[[VAL_45]]] : memref<32x16xf32>535// CHECK:               }536// CHECK:             } else {537// CHECK:               scf.if %[[VAL_5]] {538// CHECK:                 scf.for %[[VAL_48:.*]] = %[[VAL_6]] to %[[VAL_4]] step %[[VAL_7]] {539// CHECK:                   %[[VAL_49:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_23]], %[[VAL_48]]] : memref<32x16xf32>540// CHECK:                   memref.store %[[VAL_49]], %[[VAL_15]]{{\[}}%[[VAL_23]], %[[VAL_48]]] : memref<32x16xf32>541// CHECK:                 }542// CHECK:               } else {543// CHECK:               }544// CHECK:             }545// CHECK:             %[[VAL_50:.*]] = arith.cmpi eq, %[[VAL_24]], %[[VAL_23]] : index546// CHECK:             %[[VAL_51:.*]] = arith.addi %[[VAL_22]], %[[VAL_7]] : index547// CHECK:             %[[VAL_52:.*]] = arith.select %[[VAL_50]], %[[VAL_51]], %[[VAL_22]] : index548// CHECK:             %[[VAL_53:.*]] = arith.addi %[[VAL_23]], %[[VAL_7]] : index549// CHECK:             scf.yield %[[VAL_52]], %[[VAL_53]] : index, index550// CHECK:           }551// CHECK:           scf.for %[[VAL_54:.*]] = %[[VAL_55:.*]]#1 to %[[VAL_3]] step %[[VAL_7]] {552// CHECK:             scf.for %[[VAL_56:.*]] = %[[VAL_6]] to %[[VAL_4]] step %[[VAL_7]] {553// CHECK:               %[[VAL_57:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_54]], %[[VAL_56]]] : memref<32x16xf32>554// CHECK:               memref.store %[[VAL_57]], %[[VAL_15]]{{\[}}%[[VAL_54]], %[[VAL_56]]] : memref<32x16xf32>555// CHECK:             }556// CHECK:           }557// CHECK:           %[[VAL_58:.*]] = bufferization.to_tensor %[[VAL_15]] : memref<32x16xf32>558// CHECK:           return %[[VAL_58]] : tensor<32x16xf32>559// CHECK:         }560func.func @add_ss(%arga: tensor<32x16xf32, #Tss>, %argb: tensor<32x16xf32>, %argx: tensor<32x16xf32>) -> tensor<32x16xf32> {561  %0 = linalg.generic #trait2562     ins(%arga, %argb: tensor<32x16xf32, #Tss>, tensor<32x16xf32>)563    outs(%argx: tensor<32x16xf32>) {564      ^bb(%a: f32, %b: f32, %x: f32):565        %0 = arith.addf %a, %b : f32566        linalg.yield %0 : f32567  } -> tensor<32x16xf32>568  return %0 : tensor<32x16xf32>569}570 571// CHECK-LABEL:   func.func @cmp_ss(572// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,573// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32x16xf32>,574// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xi1>) -> tensor<32x16xi1> {575// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index576// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 16 : index577// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant false578// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant 0 : index579// CHECK-DAG:       %[[VAL_7:.*]] = arith.constant 1 : index580// CHECK-DAG:       %[[VAL_8:.*]] = arith.constant true581// CHECK-DAG:       %[[VAL_9:.*]] = arith.constant 0.000000e+00 : f32582// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>583// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>584// CHECK-DAG:       %[[VAL_12:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>585// CHECK-DAG:       %[[VAL_13:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>586// CHECK-DAG:       %[[VAL_14:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>587// CHECK-DAG:       %[[VAL_15:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32x16xf32> to memref<32x16xf32>588// CHECK-DAG:       %[[VAL_16:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xi1> to memref<32x16xi1>589// CHECK-DAG:       linalg.fill ins(%[[VAL_5]] : i1) outs(%[[VAL_16]] : memref<32x16xi1>)590// CHECK:           %[[VAL_17:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_6]]] : memref<?xindex>591// CHECK:           %[[VAL_18:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_7]]] : memref<?xindex>592// CHECK:           %[[VAL_19:.*]]:2 = scf.while (%[[VAL_20:.*]] = %[[VAL_17]], %[[VAL_21:.*]] = %[[VAL_6]]) : (index, index) -> (index, index) {593// CHECK:             %[[VAL_22:.*]] = arith.cmpi ult, %[[VAL_20]], %[[VAL_18]] : index594// CHECK:             scf.condition(%[[VAL_22]]) %[[VAL_20]], %[[VAL_21]] : index, index595// CHECK:           } do {596// CHECK:           ^bb0(%[[VAL_23:.*]]: index, %[[VAL_24:.*]]: index):597// CHECK:             %[[VAL_25:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_23]]] : memref<?xindex>598// CHECK:             %[[VAL_26:.*]] = arith.cmpi eq, %[[VAL_25]], %[[VAL_24]] : index599// CHECK:             scf.if %[[VAL_26]] {600// CHECK:               %[[VAL_27:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_23]]] : memref<?xindex>601// CHECK:               %[[VAL_28:.*]] = arith.addi %[[VAL_23]], %[[VAL_7]] : index602// CHECK:               %[[VAL_29:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_28]]] : memref<?xindex>603// CHECK:               %[[VAL_30:.*]]:2 = scf.while (%[[VAL_31:.*]] = %[[VAL_27]], %[[VAL_32:.*]] = %[[VAL_6]]) : (index, index) -> (index, index) {604// CHECK:                 %[[VAL_33:.*]] = arith.cmpi ult, %[[VAL_31]], %[[VAL_29]] : index605// CHECK:                 scf.condition(%[[VAL_33]]) %[[VAL_31]], %[[VAL_32]] : index, index606// CHECK:               } do {607// CHECK:               ^bb0(%[[VAL_34:.*]]: index, %[[VAL_35:.*]]: index):608// CHECK:                 %[[VAL_36:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_34]]] : memref<?xindex>609// CHECK:                 %[[VAL_37:.*]] = arith.cmpi eq, %[[VAL_36]], %[[VAL_35]] : index610// CHECK:                 scf.if %[[VAL_37]] {611// CHECK:                   %[[VAL_38:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_34]]] : memref<?xf32>612// CHECK:                   %[[VAL_39:.*]] = memref.load %[[VAL_15]]{{\[}}%[[VAL_24]], %[[VAL_35]]] : memref<32x16xf32>613// CHECK:                   %[[VAL_40:.*]] = arith.cmpf ult, %[[VAL_38]], %[[VAL_39]] : f32614// CHECK:                   memref.store %[[VAL_40]], %[[VAL_16]]{{\[}}%[[VAL_24]], %[[VAL_35]]] : memref<32x16xi1>615// CHECK:                 } else {616// CHECK:                   scf.if %[[VAL_8]] {617// CHECK:                     %[[VAL_41:.*]] = memref.load %[[VAL_15]]{{\[}}%[[VAL_24]], %[[VAL_35]]] : memref<32x16xf32>618// CHECK:                     %[[VAL_42:.*]] = arith.cmpf ult, %[[VAL_9]], %[[VAL_41]] : f32619// CHECK:                     memref.store %[[VAL_42]], %[[VAL_16]]{{\[}}%[[VAL_24]], %[[VAL_35]]] : memref<32x16xi1>620// CHECK:                   } else {621// CHECK:                   }622// CHECK:                 }623// CHECK:                 %[[VAL_43:.*]] = arith.cmpi eq, %[[VAL_36]], %[[VAL_35]] : index624// CHECK:                 %[[VAL_44:.*]] = arith.addi %[[VAL_34]], %[[VAL_7]] : index625// CHECK:                 %[[VAL_45:.*]] = arith.select %[[VAL_43]], %[[VAL_44]], %[[VAL_34]] : index626// CHECK:                 %[[VAL_46:.*]] = arith.addi %[[VAL_35]], %[[VAL_7]] : index627// CHECK:                 scf.yield %[[VAL_45]], %[[VAL_46]] : index, index628// CHECK:               } attributes629// CHECK:               scf.for %[[VAL_47:.*]] = %[[VAL_48:.*]]#1 to %[[VAL_4]] step %[[VAL_7]] {630// CHECK:                 %[[VAL_49:.*]] = memref.load %[[VAL_15]]{{\[}}%[[VAL_24]], %[[VAL_47]]] : memref<32x16xf32>631// CHECK:                 %[[VAL_50:.*]] = arith.cmpf ult, %[[VAL_9]], %[[VAL_49]] : f32632// CHECK:                 memref.store %[[VAL_50]], %[[VAL_16]]{{\[}}%[[VAL_24]], %[[VAL_47]]] : memref<32x16xi1>633// CHECK:               }634// CHECK:             } else {635// CHECK:               scf.if %[[VAL_8]] {636// CHECK:                 scf.for %[[VAL_51:.*]] = %[[VAL_6]] to %[[VAL_4]] step %[[VAL_7]] {637// CHECK:                   %[[VAL_52:.*]] = memref.load %[[VAL_15]]{{\[}}%[[VAL_24]], %[[VAL_51]]] : memref<32x16xf32>638// CHECK:                   %[[VAL_53:.*]] = arith.cmpf ult, %[[VAL_9]], %[[VAL_52]] : f32639// CHECK:                   memref.store %[[VAL_53]], %[[VAL_16]]{{\[}}%[[VAL_24]], %[[VAL_51]]] : memref<32x16xi1>640// CHECK:                 }641// CHECK:               } else {642// CHECK:               }643// CHECK:             }644// CHECK:             %[[VAL_54:.*]] = arith.cmpi eq, %[[VAL_25]], %[[VAL_24]] : index645// CHECK:             %[[VAL_55:.*]] = arith.addi %[[VAL_23]], %[[VAL_7]] : index646// CHECK:             %[[VAL_56:.*]] = arith.select %[[VAL_54]], %[[VAL_55]], %[[VAL_23]] : index647// CHECK:             %[[VAL_57:.*]] = arith.addi %[[VAL_24]], %[[VAL_7]] : index648// CHECK:             scf.yield %[[VAL_56]], %[[VAL_57]] : index, index649// CHECK:           } attributes650// CHECK:           scf.for %[[VAL_58:.*]] = %[[VAL_59:.*]]#1 to %[[VAL_3]] step %[[VAL_7]] {651// CHECK:             scf.for %[[VAL_60:.*]] = %[[VAL_6]] to %[[VAL_4]] step %[[VAL_7]] {652// CHECK:               %[[VAL_61:.*]] = memref.load %[[VAL_15]]{{\[}}%[[VAL_58]], %[[VAL_60]]] : memref<32x16xf32>653// CHECK:               %[[VAL_62:.*]] = arith.cmpf ult, %[[VAL_9]], %[[VAL_61]] : f32654// CHECK:               memref.store %[[VAL_62]], %[[VAL_16]]{{\[}}%[[VAL_58]], %[[VAL_60]]] : memref<32x16xi1>655// CHECK:             }656// CHECK:           }657// CHECK:           %[[VAL_63:.*]] = bufferization.to_tensor %[[VAL_16]] : memref<32x16xi1>658// CHECK:           return %[[VAL_63]] : tensor<32x16xi1>659// CHECK:         }660func.func @cmp_ss(%arga: tensor<32x16xf32, #Tss>, %argb: tensor<32x16xf32>, %argx: tensor<32x16xi1>) -> tensor<32x16xi1> {661  %0 = linalg.generic #trait2662     ins(%arga, %argb: tensor<32x16xf32, #Tss>, tensor<32x16xf32>)663    outs(%argx: tensor<32x16xi1>) {664      ^bb(%a: f32, %b: f32, %x: i1):665        %0 = arith.cmpf ult, %a, %b : f32666        linalg.yield %0 : i1667  } -> tensor<32x16xi1>668  return %0 : tensor<32x16xi1>669}670 671// CHECK-LABEL:   func @mul_ss(672// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,673// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32x16xf32>,674// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xf32>) -> tensor<32x16xf32> {675// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 0 : index676// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 1 : index677// CHECK-DAG:       %[[VAL_5:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>678// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>679// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>680// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>681// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>682// CHECK-DAG:       %[[VAL_10:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32x16xf32> to memref<32x16xf32>683// CHECK-DAG:       %[[VAL_12:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xf32> to memref<32x16xf32>684// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_12]] : memref<32x16xf32>)685// CHECK:           %[[VAL_13:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_3]]] : memref<?xindex>686// CHECK:           %[[VAL_14:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_4]]] : memref<?xindex>687// CHECK:           scf.for %[[VAL_15:.*]] = %[[VAL_13]] to %[[VAL_14]] step %[[VAL_4]] {688// CHECK:             %[[VAL_16:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_15]]] : memref<?xindex>689// CHECK:             %[[VAL_17:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_15]]] : memref<?xindex>690// CHECK:             %[[VAL_18:.*]] = arith.addi %[[VAL_15]], %[[VAL_4]] : index691// CHECK:             %[[VAL_19:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_18]]] : memref<?xindex>692// CHECK:             scf.for %[[VAL_20:.*]] = %[[VAL_17]] to %[[VAL_19]] step %[[VAL_4]] {693// CHECK:               %[[VAL_21:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_20]]] : memref<?xindex>694// CHECK:               %[[VAL_22:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_20]]] : memref<?xf32>695// CHECK:               %[[VAL_23:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_16]], %[[VAL_21]]] : memref<32x16xf32>696// CHECK:               %[[VAL_24:.*]] = arith.mulf %[[VAL_22]], %[[VAL_23]] : f32697// CHECK:               memref.store %[[VAL_24]], %[[VAL_12]]{{\[}}%[[VAL_16]], %[[VAL_21]]] : memref<32x16xf32>698// CHECK:             }699// CHECK:           }700// CHECK:           %[[VAL_25:.*]] = bufferization.to_tensor %[[VAL_12]] : memref<32x16xf32>701// CHECK:           return %[[VAL_25]] : tensor<32x16xf32>702// CHECK:         }703func.func @mul_ss(%arga: tensor<32x16xf32, #Tss>, %argb: tensor<32x16xf32>, %argx: tensor<32x16xf32>) -> tensor<32x16xf32> {704  %0 = linalg.generic #trait2705     ins(%arga, %argb: tensor<32x16xf32, #Tss>, tensor<32x16xf32>)706    outs(%argx: tensor<32x16xf32>) {707      ^bb(%a: f32, %b: f32, %x: f32):708        %0 = arith.mulf %a, %b : f32709        linalg.yield %0 : f32710  } -> tensor<32x16xf32>711  return %0 : tensor<32x16xf32>712}713 714// CHECK-LABEL:   func @add_ss_ss(715// CHECK-SAME:      %[[VAL_0:.*0]]: tensor<32x16xf32, #sparse{{[0-9]*}}>, %[[VAL_1:.*1]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,716// CHECK-SAME:      %[[VAL_2:.*2]]: tensor<32x16xf32>) -> tensor<32x16xf32> {717// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 0 : index718// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 1 : index719// CHECK-DAG:       %[[VAL_5:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>720// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>721// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>722// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>723// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>724// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>725// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>726// CHECK-DAG:       %[[VAL_12:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>727// CHECK-DAG:       %[[VAL_13:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>728// CHECK-DAG:       %[[VAL_14:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>729// CHECK-DAG:       %[[VAL_16:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xf32> to memref<32x16xf32>730// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_16]] : memref<32x16xf32>)731// CHECK:           %[[VAL_17:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_3]]] : memref<?xindex>732// CHECK:           %[[VAL_18:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_4]]] : memref<?xindex>733// CHECK:           %[[VAL_19:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_3]]] : memref<?xindex>734// CHECK:           %[[VAL_20:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_4]]] : memref<?xindex>735// CHECK:           %[[VAL_21:.*]]:2 = scf.while (%[[VAL_22:.*]] = %[[VAL_17]], %[[VAL_23:.*]] = %[[VAL_19]]) : (index, index) -> (index, index) {736// CHECK:             %[[VAL_24:.*]] = arith.cmpi ult, %[[VAL_22]], %[[VAL_18]] : index737// CHECK:             %[[VAL_25:.*]] = arith.cmpi ult, %[[VAL_23]], %[[VAL_20]] : index738// CHECK:             %[[VAL_26:.*]] = arith.andi %[[VAL_24]], %[[VAL_25]] : i1739// CHECK:             scf.condition(%[[VAL_26]]) %[[VAL_22]], %[[VAL_23]] : index, index740// CHECK:           } do {741// CHECK:           ^bb0(%[[VAL_27:.*]]: index, %[[VAL_28:.*]]: index):742// CHECK:             %[[VAL_29:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_27]]] : memref<?xindex>743// CHECK:             %[[VAL_30:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_28]]] : memref<?xindex>744// CHECK:             %[[VAL_31:.*]] = arith.cmpi ult, %[[VAL_30]], %[[VAL_29]] : index745// CHECK:             %[[VAL_32:.*]] = arith.select %[[VAL_31]], %[[VAL_30]], %[[VAL_29]] : index746// CHECK:             %[[VAL_33:.*]] = arith.cmpi eq, %[[VAL_29]], %[[VAL_32]] : index747// CHECK:             %[[VAL_34:.*]] = arith.cmpi eq, %[[VAL_30]], %[[VAL_32]] : index748// CHECK:             %[[VAL_35:.*]] = arith.andi %[[VAL_33]], %[[VAL_34]] : i1749// CHECK:             scf.if %[[VAL_35]] {750// CHECK:               %[[VAL_36:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_27]]] : memref<?xindex>751// CHECK:               %[[VAL_37:.*]] = arith.addi %[[VAL_27]], %[[VAL_4]] : index752// CHECK:               %[[VAL_38:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_37]]] : memref<?xindex>753// CHECK:               %[[VAL_39:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_28]]] : memref<?xindex>754// CHECK:               %[[VAL_40:.*]] = arith.addi %[[VAL_28]], %[[VAL_4]] : index755// CHECK:               %[[VAL_41:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_40]]] : memref<?xindex>756// CHECK:               %[[VAL_42:.*]]:2 = scf.while (%[[VAL_43:.*]] = %[[VAL_36]], %[[VAL_44:.*]] = %[[VAL_39]]) : (index, index) -> (index, index) {757// CHECK:                 %[[VAL_45:.*]] = arith.cmpi ult, %[[VAL_43]], %[[VAL_38]] : index758// CHECK:                 %[[VAL_46:.*]] = arith.cmpi ult, %[[VAL_44]], %[[VAL_41]] : index759// CHECK:                 %[[VAL_47:.*]] = arith.andi %[[VAL_45]], %[[VAL_46]] : i1760// CHECK:                 scf.condition(%[[VAL_47]]) %[[VAL_43]], %[[VAL_44]] : index, index761// CHECK:               } do {762// CHECK:               ^bb0(%[[VAL_48:.*]]: index, %[[VAL_49:.*]]: index):763// CHECK:                 %[[VAL_50:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_48]]] : memref<?xindex>764// CHECK:                 %[[VAL_51:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_49]]] : memref<?xindex>765// CHECK:                 %[[VAL_52:.*]] = arith.cmpi ult, %[[VAL_51]], %[[VAL_50]] : index766// CHECK:                 %[[VAL_53:.*]] = arith.select %[[VAL_52]], %[[VAL_51]], %[[VAL_50]] : index767// CHECK:                 %[[VAL_54:.*]] = arith.cmpi eq, %[[VAL_50]], %[[VAL_53]] : index768// CHECK:                 %[[VAL_55:.*]] = arith.cmpi eq, %[[VAL_51]], %[[VAL_53]] : index769// CHECK:                 %[[VAL_56:.*]] = arith.andi %[[VAL_54]], %[[VAL_55]] : i1770// CHECK:                 scf.if %[[VAL_56]] {771// CHECK:                   %[[VAL_57:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_48]]] : memref<?xf32>772// CHECK:                   %[[VAL_58:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_49]]] : memref<?xf32>773// CHECK:                   %[[VAL_59:.*]] = arith.addf %[[VAL_57]], %[[VAL_58]] : f32774// CHECK:                   memref.store %[[VAL_59]], %[[VAL_16]]{{\[}}%[[VAL_32]], %[[VAL_53]]] : memref<32x16xf32>775// CHECK:                 } else {776// CHECK:                   %[[VAL_60:.*]] = arith.cmpi eq, %[[VAL_50]], %[[VAL_53]] : index777// CHECK:                   scf.if %[[VAL_60]] {778// CHECK:                     %[[VAL_61:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_48]]] : memref<?xf32>779// CHECK:                     memref.store %[[VAL_61]], %[[VAL_16]]{{\[}}%[[VAL_32]], %[[VAL_53]]] : memref<32x16xf32>780// CHECK:                   } else {781// CHECK:                     %[[VAL_62:.*]] = arith.cmpi eq, %[[VAL_51]], %[[VAL_53]] : index782// CHECK:                     scf.if %[[VAL_62]] {783// CHECK:                       %[[VAL_63:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_49]]] : memref<?xf32>784// CHECK:                       memref.store %[[VAL_63]], %[[VAL_16]]{{\[}}%[[VAL_32]], %[[VAL_53]]] : memref<32x16xf32>785// CHECK:                     } else {786// CHECK:                     }787// CHECK:                   }788// CHECK:                 }789// CHECK:                 %[[VAL_64:.*]] = arith.cmpi eq, %[[VAL_50]], %[[VAL_53]] : index790// CHECK:                 %[[VAL_65:.*]] = arith.addi %[[VAL_48]], %[[VAL_4]] : index791// CHECK:                 %[[VAL_66:.*]] = arith.select %[[VAL_64]], %[[VAL_65]], %[[VAL_48]] : index792// CHECK:                 %[[VAL_67:.*]] = arith.cmpi eq, %[[VAL_51]], %[[VAL_53]] : index793// CHECK:                 %[[VAL_68:.*]] = arith.addi %[[VAL_49]], %[[VAL_4]] : index794// CHECK:                 %[[VAL_69:.*]] = arith.select %[[VAL_67]], %[[VAL_68]], %[[VAL_49]] : index795// CHECK:                 scf.yield %[[VAL_66]], %[[VAL_69]] : index, index796// CHECK:               }797// CHECK:               scf.for %[[VAL_70:.*]] = %[[VAL_71:.*]]#0 to %[[VAL_38]] step %[[VAL_4]] {798// CHECK:                 %[[VAL_72:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_70]]] : memref<?xindex>799// CHECK:                 %[[VAL_73:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_70]]] : memref<?xf32>800// CHECK:                 memref.store %[[VAL_73]], %[[VAL_16]]{{\[}}%[[VAL_32]], %[[VAL_72]]] : memref<32x16xf32>801// CHECK:               }802// CHECK:               scf.for %[[VAL_74:.*]] = %[[VAL_75:.*]]#1 to %[[VAL_41]] step %[[VAL_4]] {803// CHECK:                 %[[VAL_76:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_74]]] : memref<?xindex>804// CHECK:                 %[[VAL_77:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_74]]] : memref<?xf32>805// CHECK:                 memref.store %[[VAL_77]], %[[VAL_16]]{{\[}}%[[VAL_32]], %[[VAL_76]]] : memref<32x16xf32>806// CHECK:               }807// CHECK:             } else {808// CHECK:               %[[VAL_78:.*]] = arith.cmpi eq, %[[VAL_29]], %[[VAL_32]] : index809// CHECK:               scf.if %[[VAL_78]] {810// CHECK:                 %[[VAL_79:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_27]]] : memref<?xindex>811// CHECK:                 %[[VAL_80:.*]] = arith.addi %[[VAL_27]], %[[VAL_4]] : index812// CHECK:                 %[[VAL_81:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_80]]] : memref<?xindex>813// CHECK:                 scf.for %[[VAL_82:.*]] = %[[VAL_79]] to %[[VAL_81]] step %[[VAL_4]] {814// CHECK:                   %[[VAL_83:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_82]]] : memref<?xindex>815// CHECK:                   %[[VAL_84:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_82]]] : memref<?xf32>816// CHECK:                   memref.store %[[VAL_84]], %[[VAL_16]]{{\[}}%[[VAL_32]], %[[VAL_83]]] : memref<32x16xf32>817// CHECK:                 }818// CHECK:               } else {819// CHECK:                 %[[VAL_85:.*]] = arith.cmpi eq, %[[VAL_30]], %[[VAL_32]] : index820// CHECK:                 scf.if %[[VAL_85]] {821// CHECK:                   %[[VAL_86:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_28]]] : memref<?xindex>822// CHECK:                   %[[VAL_87:.*]] = arith.addi %[[VAL_28]], %[[VAL_4]] : index823// CHECK:                   %[[VAL_88:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_87]]] : memref<?xindex>824// CHECK:                   scf.for %[[VAL_89:.*]] = %[[VAL_86]] to %[[VAL_88]] step %[[VAL_4]] {825// CHECK:                     %[[VAL_90:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_89]]] : memref<?xindex>826// CHECK:                     %[[VAL_91:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_89]]] : memref<?xf32>827// CHECK:                     memref.store %[[VAL_91]], %[[VAL_16]]{{\[}}%[[VAL_32]], %[[VAL_90]]] : memref<32x16xf32>828// CHECK:                   }829// CHECK:                 } else {830// CHECK:                 }831// CHECK:               }832// CHECK:             }833// CHECK:             %[[VAL_92:.*]] = arith.cmpi eq, %[[VAL_29]], %[[VAL_32]] : index834// CHECK:             %[[VAL_93:.*]] = arith.addi %[[VAL_27]], %[[VAL_4]] : index835// CHECK:             %[[VAL_94:.*]] = arith.select %[[VAL_92]], %[[VAL_93]], %[[VAL_27]] : index836// CHECK:             %[[VAL_95:.*]] = arith.cmpi eq, %[[VAL_30]], %[[VAL_32]] : index837// CHECK:             %[[VAL_96:.*]] = arith.addi %[[VAL_28]], %[[VAL_4]] : index838// CHECK:             %[[VAL_97:.*]] = arith.select %[[VAL_95]], %[[VAL_96]], %[[VAL_28]] : index839// CHECK:             scf.yield %[[VAL_94]], %[[VAL_97]] : index, index840// CHECK:           }841// CHECK:           scf.for %[[VAL_98:.*]] = %[[VAL_99:.*]]#0 to %[[VAL_18]] step %[[VAL_4]] {842// CHECK:             %[[VAL_100:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_98]]] : memref<?xindex>843// CHECK:             %[[VAL_101:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_98]]] : memref<?xindex>844// CHECK:             %[[VAL_102:.*]] = arith.addi %[[VAL_98]], %[[VAL_4]] : index845// CHECK:             %[[VAL_103:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_102]]] : memref<?xindex>846// CHECK:             scf.for %[[VAL_104:.*]] = %[[VAL_101]] to %[[VAL_103]] step %[[VAL_4]] {847// CHECK:               %[[VAL_105:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_104]]] : memref<?xindex>848// CHECK:               %[[VAL_106:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_104]]] : memref<?xf32>849// CHECK:               memref.store %[[VAL_106]], %[[VAL_16]]{{\[}}%[[VAL_100]], %[[VAL_105]]] : memref<32x16xf32>850// CHECK:             }851// CHECK:           }852// CHECK:           scf.for %[[VAL_107:.*]] = %[[VAL_108:.*]]#1 to %[[VAL_20]] step %[[VAL_4]] {853// CHECK:             %[[VAL_109:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_107]]] : memref<?xindex>854// CHECK:             %[[VAL_110:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_107]]] : memref<?xindex>855// CHECK:             %[[VAL_111:.*]] = arith.addi %[[VAL_107]], %[[VAL_4]] : index856// CHECK:             %[[VAL_112:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_111]]] : memref<?xindex>857// CHECK:             scf.for %[[VAL_113:.*]] = %[[VAL_110]] to %[[VAL_112]] step %[[VAL_4]] {858// CHECK:               %[[VAL_114:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_113]]] : memref<?xindex>859// CHECK:               %[[VAL_115:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_113]]] : memref<?xf32>860// CHECK:               memref.store %[[VAL_115]], %[[VAL_16]]{{\[}}%[[VAL_109]], %[[VAL_114]]] : memref<32x16xf32>861// CHECK:             }862// CHECK:           }863// CHECK:           %[[VAL_116:.*]] = bufferization.to_tensor %[[VAL_16]] : memref<32x16xf32>864// CHECK:           return %[[VAL_116]] : tensor<32x16xf32>865// CHECK:         }866func.func @add_ss_ss(%arga: tensor<32x16xf32, #Tss>, %argb: tensor<32x16xf32, #Tss>, %argx: tensor<32x16xf32>) -> tensor<32x16xf32> {867  %0 = linalg.generic #trait2868     ins(%arga, %argb: tensor<32x16xf32, #Tss>, tensor<32x16xf32, #Tss>)869    outs(%argx: tensor<32x16xf32>) {870      ^bb(%a: f32, %b: f32, %x: f32):871        %0 = arith.addf %a, %b : f32872        linalg.yield %0 : f32873  } -> tensor<32x16xf32>874  return %0 : tensor<32x16xf32>875}876 877// CHECK-LABEL:   func.func @cmp_ss_ss(878// CHECK-SAME:      %[[VAL_0:.*0]]: tensor<32x16xf32, #sparse{{[0-9]*}}>, %[[VAL_1:.*1]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,879// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xi1>) -> tensor<32x16xi1> {880// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant false881// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index882// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 1 : index883// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant 0.000000e+00 : f32884// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>885// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>886// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>887// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>888// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>889// CHECK-DAG:       %[[VAL_12:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>890// CHECK-DAG:       %[[VAL_13:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>891// CHECK-DAG:       %[[VAL_14:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>892// CHECK-DAG:       %[[VAL_15:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>893// CHECK-DAG:       %[[VAL_16:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>894// CHECK-DAG:       %[[VAL_17:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xi1> to memref<32x16xi1>895// CHECK-DAG:       linalg.fill ins(%[[VAL_3]] : i1) outs(%[[VAL_17]] : memref<32x16xi1>)896// CHECK:           %[[VAL_18:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_4]]] : memref<?xindex>897// CHECK:           %[[VAL_19:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_5]]] : memref<?xindex>898// CHECK:           %[[VAL_20:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_4]]] : memref<?xindex>899// CHECK:           %[[VAL_21:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_5]]] : memref<?xindex>900// CHECK:           %[[VAL_22:.*]]:2 = scf.while (%[[VAL_23:.*]] = %[[VAL_18]], %[[VAL_24:.*]] = %[[VAL_20]]) : (index, index) -> (index, index) {901// CHECK:             %[[VAL_25:.*]] = arith.cmpi ult, %[[VAL_23]], %[[VAL_19]] : index902// CHECK:             %[[VAL_26:.*]] = arith.cmpi ult, %[[VAL_24]], %[[VAL_21]] : index903// CHECK:             %[[VAL_27:.*]] = arith.andi %[[VAL_25]], %[[VAL_26]] : i1904// CHECK:             scf.condition(%[[VAL_27]]) %[[VAL_23]], %[[VAL_24]] : index, index905// CHECK:           } do {906// CHECK:           ^bb0(%[[VAL_28:.*]]: index, %[[VAL_29:.*]]: index):907// CHECK:             %[[VAL_30:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_28]]] : memref<?xindex>908// CHECK:             %[[VAL_31:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_29]]] : memref<?xindex>909// CHECK:             %[[VAL_32:.*]] = arith.cmpi ult, %[[VAL_31]], %[[VAL_30]] : index910// CHECK:             %[[VAL_33:.*]] = arith.select %[[VAL_32]], %[[VAL_31]], %[[VAL_30]] : index911// CHECK:             %[[VAL_34:.*]] = arith.cmpi eq, %[[VAL_30]], %[[VAL_33]] : index912// CHECK:             %[[VAL_35:.*]] = arith.cmpi eq, %[[VAL_31]], %[[VAL_33]] : index913// CHECK:             %[[VAL_36:.*]] = arith.andi %[[VAL_34]], %[[VAL_35]] : i1914// CHECK:             scf.if %[[VAL_36]] {915// CHECK:               %[[VAL_37:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_28]]] : memref<?xindex>916// CHECK:               %[[VAL_38:.*]] = arith.addi %[[VAL_28]], %[[VAL_5]] : index917// CHECK:               %[[VAL_39:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_38]]] : memref<?xindex>918// CHECK:               %[[VAL_40:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_29]]] : memref<?xindex>919// CHECK:               %[[VAL_41:.*]] = arith.addi %[[VAL_29]], %[[VAL_5]] : index920// CHECK:               %[[VAL_42:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_41]]] : memref<?xindex>921// CHECK:               %[[VAL_43:.*]]:2 = scf.while (%[[VAL_44:.*]] = %[[VAL_37]], %[[VAL_45:.*]] = %[[VAL_40]]) : (index, index) -> (index, index) {922// CHECK:                 %[[VAL_46:.*]] = arith.cmpi ult, %[[VAL_44]], %[[VAL_39]] : index923// CHECK:                 %[[VAL_47:.*]] = arith.cmpi ult, %[[VAL_45]], %[[VAL_42]] : index924// CHECK:                 %[[VAL_48:.*]] = arith.andi %[[VAL_46]], %[[VAL_47]] : i1925// CHECK:                 scf.condition(%[[VAL_48]]) %[[VAL_44]], %[[VAL_45]] : index, index926// CHECK:               } do {927// CHECK:               ^bb0(%[[VAL_49:.*]]: index, %[[VAL_50:.*]]: index):928// CHECK:                 %[[VAL_51:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_49]]] : memref<?xindex>929// CHECK:                 %[[VAL_52:.*]] = memref.load %[[VAL_15]]{{\[}}%[[VAL_50]]] : memref<?xindex>930// CHECK:                 %[[VAL_53:.*]] = arith.cmpi ult, %[[VAL_52]], %[[VAL_51]] : index931// CHECK:                 %[[VAL_54:.*]] = arith.select %[[VAL_53]], %[[VAL_52]], %[[VAL_51]] : index932// CHECK:                 %[[VAL_55:.*]] = arith.cmpi eq, %[[VAL_51]], %[[VAL_54]] : index933// CHECK:                 %[[VAL_56:.*]] = arith.cmpi eq, %[[VAL_52]], %[[VAL_54]] : index934// CHECK:                 %[[VAL_57:.*]] = arith.andi %[[VAL_55]], %[[VAL_56]] : i1935// CHECK:                 scf.if %[[VAL_57]] {936// CHECK:                   %[[VAL_58:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_49]]] : memref<?xf32>937// CHECK:                   %[[VAL_59:.*]] = memref.load %[[VAL_16]]{{\[}}%[[VAL_50]]] : memref<?xf32>938// CHECK:                   %[[VAL_60:.*]] = arith.cmpf ult, %[[VAL_58]], %[[VAL_59]] : f32939// CHECK:                   memref.store %[[VAL_60]], %[[VAL_17]]{{\[}}%[[VAL_33]], %[[VAL_54]]] : memref<32x16xi1>940// CHECK:                 } else {941// CHECK:                   %[[VAL_61:.*]] = arith.cmpi eq, %[[VAL_51]], %[[VAL_54]] : index942// CHECK:                   scf.if %[[VAL_61]] {943// CHECK:                     %[[VAL_62:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_49]]] : memref<?xf32>944// CHECK:                     %[[VAL_63:.*]] = arith.cmpf ult, %[[VAL_62]], %[[VAL_6]] : f32945// CHECK:                     memref.store %[[VAL_63]], %[[VAL_17]]{{\[}}%[[VAL_33]], %[[VAL_54]]] : memref<32x16xi1>946// CHECK:                   } else {947// CHECK:                     %[[VAL_64:.*]] = arith.cmpi eq, %[[VAL_52]], %[[VAL_54]] : index948// CHECK:                     scf.if %[[VAL_64]] {949// CHECK:                       %[[VAL_65:.*]] = memref.load %[[VAL_16]]{{\[}}%[[VAL_50]]] : memref<?xf32>950// CHECK:                       %[[VAL_66:.*]] = arith.cmpf ult, %[[VAL_6]], %[[VAL_65]] : f32951// CHECK:                       memref.store %[[VAL_66]], %[[VAL_17]]{{\[}}%[[VAL_33]], %[[VAL_54]]] : memref<32x16xi1>952// CHECK:                     } else {953// CHECK:                     }954// CHECK:                   }955// CHECK:                 }956// CHECK:                 %[[VAL_67:.*]] = arith.cmpi eq, %[[VAL_51]], %[[VAL_54]] : index957// CHECK:                 %[[VAL_68:.*]] = arith.addi %[[VAL_49]], %[[VAL_5]] : index958// CHECK:                 %[[VAL_69:.*]] = arith.select %[[VAL_67]], %[[VAL_68]], %[[VAL_49]] : index959// CHECK:                 %[[VAL_70:.*]] = arith.cmpi eq, %[[VAL_52]], %[[VAL_54]] : index960// CHECK:                 %[[VAL_71:.*]] = arith.addi %[[VAL_50]], %[[VAL_5]] : index961// CHECK:                 %[[VAL_72:.*]] = arith.select %[[VAL_70]], %[[VAL_71]], %[[VAL_50]] : index962// CHECK:                 scf.yield %[[VAL_69]], %[[VAL_72]] : index, index963// CHECK:               } attributes964// CHECK:               scf.for %[[VAL_73:.*]] = %[[VAL_74:.*]]#0 to %[[VAL_39]] step %[[VAL_5]] {965// CHECK:                 %[[VAL_75:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_73]]] : memref<?xindex>966// CHECK:                 %[[VAL_76:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_73]]] : memref<?xf32>967// CHECK:                 %[[VAL_77:.*]] = arith.cmpf ult, %[[VAL_76]], %[[VAL_6]] : f32968// CHECK:                 memref.store %[[VAL_77]], %[[VAL_17]]{{\[}}%[[VAL_33]], %[[VAL_75]]] : memref<32x16xi1>969// CHECK:               }970// CHECK:               scf.for %[[VAL_78:.*]] = %[[VAL_79:.*]]#1 to %[[VAL_42]] step %[[VAL_5]] {971// CHECK:                 %[[VAL_80:.*]] = memref.load %[[VAL_15]]{{\[}}%[[VAL_78]]] : memref<?xindex>972// CHECK:                 %[[VAL_81:.*]] = memref.load %[[VAL_16]]{{\[}}%[[VAL_78]]] : memref<?xf32>973// CHECK:                 %[[VAL_82:.*]] = arith.cmpf ult, %[[VAL_6]], %[[VAL_81]] : f32974// CHECK:                 memref.store %[[VAL_82]], %[[VAL_17]]{{\[}}%[[VAL_33]], %[[VAL_80]]] : memref<32x16xi1>975// CHECK:               }976// CHECK:             } else {977// CHECK:               %[[VAL_83:.*]] = arith.cmpi eq, %[[VAL_30]], %[[VAL_33]] : index978// CHECK:               scf.if %[[VAL_83]] {979// CHECK:                 %[[VAL_84:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_28]]] : memref<?xindex>980// CHECK:                 %[[VAL_85:.*]] = arith.addi %[[VAL_28]], %[[VAL_5]] : index981// CHECK:                 %[[VAL_86:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_85]]] : memref<?xindex>982// CHECK:                 scf.for %[[VAL_87:.*]] = %[[VAL_84]] to %[[VAL_86]] step %[[VAL_5]] {983// CHECK:                   %[[VAL_88:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_87]]] : memref<?xindex>984// CHECK:                   %[[VAL_89:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_87]]] : memref<?xf32>985// CHECK:                   %[[VAL_90:.*]] = arith.cmpf ult, %[[VAL_89]], %[[VAL_6]] : f32986// CHECK:                   memref.store %[[VAL_90]], %[[VAL_17]]{{\[}}%[[VAL_33]], %[[VAL_88]]] : memref<32x16xi1>987// CHECK:                 }988// CHECK:               } else {989// CHECK:                 %[[VAL_91:.*]] = arith.cmpi eq, %[[VAL_31]], %[[VAL_33]] : index990// CHECK:                 scf.if %[[VAL_91]] {991// CHECK:                   %[[VAL_92:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_29]]] : memref<?xindex>992// CHECK:                   %[[VAL_93:.*]] = arith.addi %[[VAL_29]], %[[VAL_5]] : index993// CHECK:                   %[[VAL_94:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_93]]] : memref<?xindex>994// CHECK:                   scf.for %[[VAL_95:.*]] = %[[VAL_92]] to %[[VAL_94]] step %[[VAL_5]] {995// CHECK:                     %[[VAL_96:.*]] = memref.load %[[VAL_15]]{{\[}}%[[VAL_95]]] : memref<?xindex>996// CHECK:                     %[[VAL_97:.*]] = memref.load %[[VAL_16]]{{\[}}%[[VAL_95]]] : memref<?xf32>997// CHECK:                     %[[VAL_98:.*]] = arith.cmpf ult, %[[VAL_6]], %[[VAL_97]] : f32998// CHECK:                     memref.store %[[VAL_98]], %[[VAL_17]]{{\[}}%[[VAL_33]], %[[VAL_96]]] : memref<32x16xi1>999// CHECK:                   }1000// CHECK:                 } else {1001// CHECK:                 }1002// CHECK:               }1003// CHECK:             }1004// CHECK:             %[[VAL_99:.*]] = arith.cmpi eq, %[[VAL_30]], %[[VAL_33]] : index1005// CHECK:             %[[VAL_100:.*]] = arith.addi %[[VAL_28]], %[[VAL_5]] : index1006// CHECK:             %[[VAL_101:.*]] = arith.select %[[VAL_99]], %[[VAL_100]], %[[VAL_28]] : index1007// CHECK:             %[[VAL_102:.*]] = arith.cmpi eq, %[[VAL_31]], %[[VAL_33]] : index1008// CHECK:             %[[VAL_103:.*]] = arith.addi %[[VAL_29]], %[[VAL_5]] : index1009// CHECK:             %[[VAL_104:.*]] = arith.select %[[VAL_102]], %[[VAL_103]], %[[VAL_29]] : index1010// CHECK:             scf.yield %[[VAL_101]], %[[VAL_104]] : index, index1011// CHECK:           } attributes1012// CHECK:           scf.for %[[VAL_105:.*]] = %[[VAL_106:.*]]#0 to %[[VAL_19]] step %[[VAL_5]] {1013// CHECK:             %[[VAL_107:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_105]]] : memref<?xindex>1014// CHECK:             %[[VAL_108:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_105]]] : memref<?xindex>1015// CHECK:             %[[VAL_109:.*]] = arith.addi %[[VAL_105]], %[[VAL_5]] : index1016// CHECK:             %[[VAL_110:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_109]]] : memref<?xindex>1017// CHECK:             scf.for %[[VAL_111:.*]] = %[[VAL_108]] to %[[VAL_110]] step %[[VAL_5]] {1018// CHECK:               %[[VAL_112:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_111]]] : memref<?xindex>1019// CHECK:               %[[VAL_113:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_111]]] : memref<?xf32>1020// CHECK:               %[[VAL_114:.*]] = arith.cmpf ult, %[[VAL_113]], %[[VAL_6]] : f321021// CHECK:               memref.store %[[VAL_114]], %[[VAL_17]]{{\[}}%[[VAL_107]], %[[VAL_112]]] : memref<32x16xi1>1022// CHECK:             }1023// CHECK:           }1024// CHECK:           scf.for %[[VAL_115:.*]] = %[[VAL_116:.*]]#1 to %[[VAL_21]] step %[[VAL_5]] {1025// CHECK:             %[[VAL_117:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_115]]] : memref<?xindex>1026// CHECK:             %[[VAL_118:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_115]]] : memref<?xindex>1027// CHECK:             %[[VAL_119:.*]] = arith.addi %[[VAL_115]], %[[VAL_5]] : index1028// CHECK:             %[[VAL_120:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_119]]] : memref<?xindex>1029// CHECK:             scf.for %[[VAL_121:.*]] = %[[VAL_118]] to %[[VAL_120]] step %[[VAL_5]] {1030// CHECK:               %[[VAL_122:.*]] = memref.load %[[VAL_15]]{{\[}}%[[VAL_121]]] : memref<?xindex>1031// CHECK:               %[[VAL_123:.*]] = memref.load %[[VAL_16]]{{\[}}%[[VAL_121]]] : memref<?xf32>1032// CHECK:               %[[VAL_124:.*]] = arith.cmpf ult, %[[VAL_6]], %[[VAL_123]] : f321033// CHECK:               memref.store %[[VAL_124]], %[[VAL_17]]{{\[}}%[[VAL_117]], %[[VAL_122]]] : memref<32x16xi1>1034// CHECK:             }1035// CHECK:           }1036// CHECK:           %[[VAL_125:.*]] = bufferization.to_tensor %[[VAL_17]] : memref<32x16xi1>1037// CHECK:           return %[[VAL_125]] : tensor<32x16xi1>1038// CHECK:         }1039func.func @cmp_ss_ss(%arga: tensor<32x16xf32, #Tss>, %argb: tensor<32x16xf32, #Tss>, %argx: tensor<32x16xi1>) -> tensor<32x16xi1> {1040  %0 = linalg.generic #trait21041     ins(%arga, %argb: tensor<32x16xf32, #Tss>, tensor<32x16xf32, #Tss>)1042    outs(%argx: tensor<32x16xi1>) {1043      ^bb(%a: f32, %b: f32, %x: i1):1044        %0 = arith.cmpf ult, %a, %b : f321045        linalg.yield %0 : i11046  } -> tensor<32x16xi1>1047  return %0 : tensor<32x16xi1>1048}1049 1050#BatchedVector = #sparse_tensor.encoding<{1051  map = (d0, d1) -> (d0 : dense, d1 : loose_compressed)1052}>1053// CHECK-LABEL:   func.func @sub_ss_batched(1054// CHECK-SAME:      %[[VAL_0:.*]]: tensor<2x3xf64, #sparse{{[0-9]*}}>,1055// CHECK-SAME:      %[[VAL_1:.*]]: tensor<2x3xf64, #sparse{{[0-9]*}}>) -> tensor<2x3xf64, #sparse{{[0-9]*}}> {1056// CHECK-DAG:       %[[VAL_2:.*]] = arith.constant 2 : index1057// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 0 : index1058// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 1 : index1059// CHECK-DAG:       %[[VAL_5:.*]] = tensor.empty() : tensor<2x3xf64, #sparse{{[0-9]*}}>1060// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<2x3xf64, #sparse{{[0-9]*}}> to memref<?xindex>1061// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 1 : index} : tensor<2x3xf64, #sparse{{[0-9]*}}> to memref<?xindex>1062// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<2x3xf64, #sparse{{[0-9]*}}> to memref<?xf64>1063// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 1 : index} : tensor<2x3xf64, #sparse{{[0-9]*}}> to memref<?xindex>1064// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 1 : index} : tensor<2x3xf64, #sparse{{[0-9]*}}> to memref<?xindex>1065// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<2x3xf64, #sparse{{[0-9]*}}> to memref<?xf64>1066// CHECK:           %[[VAL_12:.*]] = scf.for %[[VAL_13:.*]] = %[[VAL_3]] to %[[VAL_2]] step %[[VAL_4]] iter_args(%[[VAL_14:.*]] = %[[VAL_5]]) -> (tensor<2x3xf64, #sparse{{[0-9]*}}>) {1067// CHECK:             %[[VAL_15:.*]] = arith.muli %[[VAL_13]], %[[VAL_2]] : index1068// CHECK:             %[[VAL_16:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_15]]] : memref<?xindex>1069// CHECK:             %[[VAL_17:.*]] = arith.addi %[[VAL_15]], %[[VAL_4]] : index1070// CHECK:             %[[VAL_18:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_17]]] : memref<?xindex>1071// CHECK:             %[[VAL_19:.*]] = arith.muli %[[VAL_13]], %[[VAL_2]] : index1072// CHECK:             %[[VAL_20:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_19]]] : memref<?xindex>1073// CHECK:             %[[VAL_21:.*]] = arith.addi %[[VAL_19]], %[[VAL_4]] : index1074// CHECK:             %[[VAL_22:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_21]]] : memref<?xindex>1075// CHECK:             %[[VAL_23:.*]]:3 = scf.while (%[[VAL_24:.*]] = %[[VAL_16]], %[[VAL_25:.*]] = %[[VAL_20]], %[[VAL_26:.*]] = %[[VAL_14]])1076// CHECK:               %[[VAL_27:.*]] = arith.cmpi ult, %[[VAL_24]], %[[VAL_18]] : index1077// CHECK:               %[[VAL_28:.*]] = arith.cmpi ult, %[[VAL_25]], %[[VAL_22]] : index1078// CHECK:               %[[VAL_29:.*]] = arith.andi %[[VAL_27]], %[[VAL_28]] : i11079// CHECK:               scf.condition(%[[VAL_29]]) %[[VAL_24]], %[[VAL_25]], %[[VAL_26]] : index, index, tensor<2x3xf64, #sparse{{[0-9]*}}>1080// CHECK:             } do {1081// CHECK:             ^bb0(%[[VAL_30:.*]]: index, %[[VAL_31:.*]]: index, %[[VAL_32:.*]]: tensor<2x3xf64, #sparse{{[0-9]*}}>):1082// CHECK:               %[[VAL_33:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_30]]] : memref<?xindex>1083// CHECK:               %[[VAL_34:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_31]]] : memref<?xindex>1084// CHECK:               %[[VAL_35:.*]] = arith.cmpi ult, %[[VAL_34]], %[[VAL_33]] : index1085// CHECK:               %[[VAL_36:.*]] = arith.select %[[VAL_35]], %[[VAL_34]], %[[VAL_33]] : index1086// CHECK:               %[[VAL_37:.*]] = arith.cmpi eq, %[[VAL_33]], %[[VAL_36]] : index1087// CHECK:               %[[VAL_38:.*]] = arith.cmpi eq, %[[VAL_34]], %[[VAL_36]] : index1088// CHECK:               %[[VAL_39:.*]] = arith.andi %[[VAL_37]], %[[VAL_38]] : i11089// CHECK:               %[[VAL_40:.*]] = scf.if %[[VAL_39]] -> (tensor<2x3xf64, #sparse{{[0-9]*}}>) {1090// CHECK:                 %[[VAL_41:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_30]]] : memref<?xf64>1091// CHECK:                 %[[VAL_42:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_31]]] : memref<?xf64>1092// CHECK:                 %[[VAL_43:.*]] = arith.subf %[[VAL_41]], %[[VAL_42]] : f641093// CHECK:                 %[[VAL_44:.*]] = tensor.insert %[[VAL_43]] into %[[VAL_32]]{{\[}}%[[VAL_13]], %[[VAL_36]]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1094// CHECK:                 scf.yield %[[VAL_44]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1095// CHECK:               } else {1096// CHECK:                 %[[VAL_45:.*]] = arith.cmpi eq, %[[VAL_33]], %[[VAL_36]] : index1097// CHECK:                 %[[VAL_46:.*]] = scf.if %[[VAL_45]] -> (tensor<2x3xf64, #sparse{{[0-9]*}}>) {1098// CHECK:                   %[[VAL_47:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_30]]] : memref<?xf64>1099// CHECK:                   %[[VAL_48:.*]] = tensor.insert %[[VAL_47]] into %[[VAL_32]]{{\[}}%[[VAL_13]], %[[VAL_36]]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1100// CHECK:                   scf.yield %[[VAL_48]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1101// CHECK:                 } else {1102// CHECK:                   %[[VAL_49:.*]] = arith.cmpi eq, %[[VAL_34]], %[[VAL_36]] : index1103// CHECK:                   %[[VAL_50:.*]] = scf.if %[[VAL_49]] -> (tensor<2x3xf64, #sparse{{[0-9]*}}>) {1104// CHECK:                     %[[VAL_51:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_31]]] : memref<?xf64>1105// CHECK:                     %[[VAL_52:.*]] = arith.negf %[[VAL_51]] : f641106// CHECK:                     %[[VAL_53:.*]] = tensor.insert %[[VAL_52]] into %[[VAL_32]]{{\[}}%[[VAL_13]], %[[VAL_36]]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1107// CHECK:                     scf.yield %[[VAL_53]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1108// CHECK:                   } else {1109// CHECK:                     scf.yield %[[VAL_32]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1110// CHECK:                   }1111// CHECK:                   scf.yield %[[VAL_54:.*]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1112// CHECK:                 }1113// CHECK:                 scf.yield %[[VAL_55:.*]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1114// CHECK:               }1115// CHECK:               %[[VAL_56:.*]] = arith.cmpi eq, %[[VAL_33]], %[[VAL_36]] : index1116// CHECK:               %[[VAL_57:.*]] = arith.addi %[[VAL_30]], %[[VAL_4]] : index1117// CHECK:               %[[VAL_58:.*]] = arith.select %[[VAL_56]], %[[VAL_57]], %[[VAL_30]] : index1118// CHECK:               %[[VAL_59:.*]] = arith.cmpi eq, %[[VAL_34]], %[[VAL_36]] : index1119// CHECK:               %[[VAL_60:.*]] = arith.addi %[[VAL_31]], %[[VAL_4]] : index1120// CHECK:               %[[VAL_61:.*]] = arith.select %[[VAL_59]], %[[VAL_60]], %[[VAL_31]] : index1121// CHECK:               scf.yield %[[VAL_58]], %[[VAL_61]], %[[VAL_62:.*]] : index, index, tensor<2x3xf64, #sparse{{[0-9]*}}>1122// CHECK:             } attributes1123// CHECK:             %[[VAL_63:.*]] = scf.for %[[VAL_64:.*]] = %[[VAL_65:.*]]#0 to %[[VAL_18]] step %[[VAL_4]] iter_args(%[[VAL_66:.*]] = %[[VAL_65]]#2)1124// CHECK:               %[[VAL_67:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_64]]] : memref<?xindex>1125// CHECK:               %[[VAL_68:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_64]]] : memref<?xf64>1126// CHECK:               %[[VAL_69:.*]] = tensor.insert %[[VAL_68]] into %[[VAL_66]]{{\[}}%[[VAL_13]], %[[VAL_67]]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1127// CHECK:               scf.yield %[[VAL_69]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1128// CHECK:             }1129// CHECK:             %[[VAL_70:.*]] = scf.for %[[VAL_71:.*]] = %[[VAL_72:.*]]#1 to %[[VAL_22]] step %[[VAL_4]] iter_args(%[[VAL_73:.*]] = %[[VAL_74:.*]])1130// CHECK:               %[[VAL_75:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_71]]] : memref<?xindex>1131// CHECK:               %[[VAL_76:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_71]]] : memref<?xf64>1132// CHECK:               %[[VAL_77:.*]] = arith.negf %[[VAL_76]] : f641133// CHECK:               %[[VAL_78:.*]] = tensor.insert %[[VAL_77]] into %[[VAL_73]]{{\[}}%[[VAL_13]], %[[VAL_75]]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1134// CHECK:               scf.yield %[[VAL_78]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1135// CHECK:             }1136// CHECK:             scf.yield %[[VAL_79:.*]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1137// CHECK:           }1138// CHECK:           %[[VAL_80:.*]] = sparse_tensor.load %[[VAL_81:.*]] hasInserts : tensor<2x3xf64, #sparse{{[0-9]*}}>1139// CHECK:           return %[[VAL_80]] : tensor<2x3xf64, #sparse{{[0-9]*}}>1140// CHECK:         }1141func.func @sub_ss_batched(%0: tensor<2x3xf64, #BatchedVector>, %1: tensor<2x3xf64, #BatchedVector>)1142                           -> tensor<2x3xf64, #BatchedVector> {1143  %2 = tensor.empty() : tensor<2x3xf64, #BatchedVector>1144  %3 = linalg.generic #trait21145       ins(%0, %1 : tensor<2x3xf64, #BatchedVector>, tensor<2x3xf64, #BatchedVector>)1146       outs(%2 : tensor<2x3xf64, #BatchedVector>) {1147    ^bb0(%in: f64, %in_0: f64, %out: f64):1148      %7 = arith.subf %in, %in_0 : f641149      linalg.yield %7 : f641150    } -> tensor<2x3xf64, #BatchedVector>1151  return %3 : tensor<2x3xf64, #BatchedVector>1152}1153 1154// CHECK-LABEL:   func @mul_ss_ss(1155// CHECK-SAME:      %[[VAL_0:.*0]]: tensor<32x16xf32, #sparse{{[0-9]*}}>, %[[VAL_1:.*1]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,1156// CHECK-SAME:      %[[VAL_2:.*2]]: tensor<32x16xf32>) -> tensor<32x16xf32> {1157// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 0 : index1158// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 1 : index1159// CHECK-DAG:       %[[VAL_5:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1160// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1161// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1162// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1163// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>1164// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1165// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1166// CHECK-DAG:       %[[VAL_12:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1167// CHECK-DAG:       %[[VAL_13:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1168// CHECK-DAG:       %[[VAL_14:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>1169// CHECK-DAG:       %[[VAL_16:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xf32> to memref<32x16xf32>1170// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_16]] : memref<32x16xf32>)1171// CHECK:           %[[VAL_17:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_3]]] : memref<?xindex>1172// CHECK:           %[[VAL_18:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_4]]] : memref<?xindex>1173// CHECK:           %[[VAL_19:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_3]]] : memref<?xindex>1174// CHECK:           %[[VAL_20:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_4]]] : memref<?xindex>1175// CHECK:           %[[VAL_21:.*]]:2 = scf.while (%[[VAL_22:.*]] = %[[VAL_17]], %[[VAL_23:.*]] = %[[VAL_19]]) : (index, index) -> (index, index) {1176// CHECK:             %[[VAL_24:.*]] = arith.cmpi ult, %[[VAL_22]], %[[VAL_18]] : index1177// CHECK:             %[[VAL_25:.*]] = arith.cmpi ult, %[[VAL_23]], %[[VAL_20]] : index1178// CHECK:             %[[VAL_26:.*]] = arith.andi %[[VAL_24]], %[[VAL_25]] : i11179// CHECK:             scf.condition(%[[VAL_26]]) %[[VAL_22]], %[[VAL_23]] : index, index1180// CHECK:           } do {1181// CHECK:           ^bb0(%[[VAL_27:.*]]: index, %[[VAL_28:.*]]: index):1182// CHECK:             %[[VAL_29:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_27]]] : memref<?xindex>1183// CHECK:             %[[VAL_30:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_28]]] : memref<?xindex>1184// CHECK:             %[[VAL_31:.*]] = arith.cmpi ult, %[[VAL_30]], %[[VAL_29]] : index1185// CHECK:             %[[VAL_32:.*]] = arith.select %[[VAL_31]], %[[VAL_30]], %[[VAL_29]] : index1186// CHECK:             %[[VAL_33:.*]] = arith.cmpi eq, %[[VAL_29]], %[[VAL_32]] : index1187// CHECK:             %[[VAL_34:.*]] = arith.cmpi eq, %[[VAL_30]], %[[VAL_32]] : index1188// CHECK:             %[[VAL_35:.*]] = arith.andi %[[VAL_33]], %[[VAL_34]] : i11189// CHECK:             scf.if %[[VAL_35]] {1190// CHECK:               %[[VAL_36:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_27]]] : memref<?xindex>1191// CHECK:               %[[VAL_37:.*]] = arith.addi %[[VAL_27]], %[[VAL_4]] : index1192// CHECK:               %[[VAL_38:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_37]]] : memref<?xindex>1193// CHECK:               %[[VAL_39:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_28]]] : memref<?xindex>1194// CHECK:               %[[VAL_40:.*]] = arith.addi %[[VAL_28]], %[[VAL_4]] : index1195// CHECK:               %[[VAL_41:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_40]]] : memref<?xindex>1196// CHECK:               %[[VAL_42:.*]]:2 = scf.while (%[[VAL_43:.*]] = %[[VAL_36]], %[[VAL_44:.*]] = %[[VAL_39]]) : (index, index) -> (index, index) {1197// CHECK:                 %[[VAL_45:.*]] = arith.cmpi ult, %[[VAL_43]], %[[VAL_38]] : index1198// CHECK:                 %[[VAL_46:.*]] = arith.cmpi ult, %[[VAL_44]], %[[VAL_41]] : index1199// CHECK:                 %[[VAL_47:.*]] = arith.andi %[[VAL_45]], %[[VAL_46]] : i11200// CHECK:                 scf.condition(%[[VAL_47]]) %[[VAL_43]], %[[VAL_44]] : index, index1201// CHECK:               } do {1202// CHECK:               ^bb0(%[[VAL_48:.*]]: index, %[[VAL_49:.*]]: index):1203// CHECK:                 %[[VAL_50:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_48]]] : memref<?xindex>1204// CHECK:                 %[[VAL_51:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_49]]] : memref<?xindex>1205// CHECK:                 %[[VAL_52:.*]] = arith.cmpi ult, %[[VAL_51]], %[[VAL_50]] : index1206// CHECK:                 %[[VAL_53:.*]] = arith.select %[[VAL_52]], %[[VAL_51]], %[[VAL_50]] : index1207// CHECK:                 %[[VAL_54:.*]] = arith.cmpi eq, %[[VAL_50]], %[[VAL_53]] : index1208// CHECK:                 %[[VAL_55:.*]] = arith.cmpi eq, %[[VAL_51]], %[[VAL_53]] : index1209// CHECK:                 %[[VAL_56:.*]] = arith.andi %[[VAL_54]], %[[VAL_55]] : i11210// CHECK:                 scf.if %[[VAL_56]] {1211// CHECK:                   %[[VAL_57:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_48]]] : memref<?xf32>1212// CHECK:                   %[[VAL_58:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_49]]] : memref<?xf32>1213// CHECK:                   %[[VAL_59:.*]] = arith.mulf %[[VAL_57]], %[[VAL_58]] : f321214// CHECK:                   memref.store %[[VAL_59]], %[[VAL_16]]{{\[}}%[[VAL_32]], %[[VAL_53]]] : memref<32x16xf32>1215// CHECK:                 } else {1216// CHECK:                 }1217// CHECK:                 %[[VAL_60:.*]] = arith.cmpi eq, %[[VAL_50]], %[[VAL_53]] : index1218// CHECK:                 %[[VAL_61:.*]] = arith.addi %[[VAL_48]], %[[VAL_4]] : index1219// CHECK:                 %[[VAL_62:.*]] = arith.select %[[VAL_60]], %[[VAL_61]], %[[VAL_48]] : index1220// CHECK:                 %[[VAL_63:.*]] = arith.cmpi eq, %[[VAL_51]], %[[VAL_53]] : index1221// CHECK:                 %[[VAL_64:.*]] = arith.addi %[[VAL_49]], %[[VAL_4]] : index1222// CHECK:                 %[[VAL_65:.*]] = arith.select %[[VAL_63]], %[[VAL_64]], %[[VAL_49]] : index1223// CHECK:                 scf.yield %[[VAL_62]], %[[VAL_65]] : index, index1224// CHECK:               }1225// CHECK:             } else {1226// CHECK:             }1227// CHECK:             %[[VAL_66:.*]] = arith.cmpi eq, %[[VAL_29]], %[[VAL_32]] : index1228// CHECK:             %[[VAL_67:.*]] = arith.addi %[[VAL_27]], %[[VAL_4]] : index1229// CHECK:             %[[VAL_68:.*]] = arith.select %[[VAL_66]], %[[VAL_67]], %[[VAL_27]] : index1230// CHECK:             %[[VAL_69:.*]] = arith.cmpi eq, %[[VAL_30]], %[[VAL_32]] : index1231// CHECK:             %[[VAL_70:.*]] = arith.addi %[[VAL_28]], %[[VAL_4]] : index1232// CHECK:             %[[VAL_71:.*]] = arith.select %[[VAL_69]], %[[VAL_70]], %[[VAL_28]] : index1233// CHECK:             scf.yield %[[VAL_68]], %[[VAL_71]] : index, index1234// CHECK:           }1235// CHECK:           %[[VAL_72:.*]] = bufferization.to_tensor %[[VAL_16]] : memref<32x16xf32>1236// CHECK:           return %[[VAL_72]] : tensor<32x16xf32>1237// CHECK:         }1238func.func @mul_ss_ss(%arga: tensor<32x16xf32, #Tss>, %argb: tensor<32x16xf32, #Tss>, %argx: tensor<32x16xf32>) -> tensor<32x16xf32> {1239  %0 = linalg.generic #trait21240     ins(%arga, %argb: tensor<32x16xf32, #Tss>, tensor<32x16xf32, #Tss>)1241    outs(%argx: tensor<32x16xf32>) {1242      ^bb(%a: f32, %b: f32, %x: f32):1243        %0 = arith.mulf %a, %b : f321244        linalg.yield %0 : f321245  } -> tensor<32x16xf32>1246  return %0 : tensor<32x16xf32>1247}1248 1249// CHECK-LABEL:   func @add_sd_ds(1250// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>, %[[VAL_1:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,1251// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xf32>) -> tensor<32x16xf32> {1252// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index1253// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 16 : index1254// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 0 : index1255// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant true1256// CHECK-DAG:       %[[VAL_7:.*]] = arith.constant 1 : index1257// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1258// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1259// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>1260// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1261// CHECK-DAG:       %[[VAL_12:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1262// CHECK-DAG:       %[[VAL_13:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>1263// CHECK-DAG:       %[[VAL_15:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xf32> to memref<32x16xf32>1264// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_15]] : memref<32x16xf32>)1265// CHECK:           %[[VAL_16:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_5]]] : memref<?xindex>1266// CHECK:           %[[VAL_17:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_7]]] : memref<?xindex>1267// CHECK:           %[[VAL_18:.*]]:2 = scf.while (%[[VAL_19:.*]] = %[[VAL_16]], %[[VAL_20:.*]] = %[[VAL_5]]) : (index, index) -> (index, index) {1268// CHECK:             %[[VAL_21:.*]] = arith.cmpi ult, %[[VAL_19]], %[[VAL_17]] : index1269// CHECK:             scf.condition(%[[VAL_21]]) %[[VAL_19]], %[[VAL_20]] : index, index1270// CHECK:           } do {1271// CHECK:           ^bb0(%[[VAL_22:.*]]: index, %[[VAL_23:.*]]: index):1272// CHECK:             %[[VAL_24:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_22]]] : memref<?xindex>1273// CHECK:             %[[VAL_25:.*]] = arith.cmpi eq, %[[VAL_24]], %[[VAL_23]] : index1274// CHECK:             scf.if %[[VAL_25]] {1275// CHECK:               %[[VAL_36:.*]] = arith.muli %[[VAL_22]], %[[VAL_4]] : index1276// CHECK:               %[[VAL_26:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_23]]] : memref<?xindex>1277// CHECK:               %[[VAL_27:.*]] = arith.addi %[[VAL_23]], %[[VAL_7]] : index1278// CHECK:               %[[VAL_28:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_27]]] : memref<?xindex>1279// CHECK:               %[[VAL_29:.*]]:2 = scf.while (%[[VAL_30:.*]] = %[[VAL_26]], %[[VAL_31:.*]] = %[[VAL_5]]) : (index, index) -> (index, index) {1280// CHECK:                 %[[VAL_32:.*]] = arith.cmpi ult, %[[VAL_30]], %[[VAL_28]] : index1281// CHECK:                 scf.condition(%[[VAL_32]]) %[[VAL_30]], %[[VAL_31]] : index, index1282// CHECK:               } do {1283// CHECK:               ^bb0(%[[VAL_33:.*]]: index, %[[VAL_34:.*]]: index):1284// CHECK:                 %[[VAL_35:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_33]]] : memref<?xindex>1285// CHECK:                 %[[VAL_37:.*]] = arith.addi %[[VAL_34]], %[[VAL_36]] : index1286// CHECK:                 %[[VAL_38:.*]] = arith.cmpi eq, %[[VAL_35]], %[[VAL_34]] : index1287// CHECK:                 scf.if %[[VAL_38]] {1288// CHECK:                   %[[VAL_39:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_37]]] : memref<?xf32>1289// CHECK:                   %[[VAL_40:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_33]]] : memref<?xf32>1290// CHECK:                   %[[VAL_41:.*]] = arith.addf %[[VAL_39]], %[[VAL_40]] : f321291// CHECK:                   memref.store %[[VAL_41]], %[[VAL_15]]{{\[}}%[[VAL_23]], %[[VAL_34]]] : memref<32x16xf32>1292// CHECK:                 } else {1293// CHECK:                   scf.if %[[VAL_6]] {1294// CHECK:                     %[[VAL_42:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_37]]] : memref<?xf32>1295// CHECK:                     memref.store %[[VAL_42]], %[[VAL_15]]{{\[}}%[[VAL_23]], %[[VAL_34]]] : memref<32x16xf32>1296// CHECK:                   } else {1297// CHECK:                   }1298// CHECK:                 }1299// CHECK:                 %[[VAL_43:.*]] = arith.cmpi eq, %[[VAL_35]], %[[VAL_34]] : index1300// CHECK:                 %[[VAL_44:.*]] = arith.addi %[[VAL_33]], %[[VAL_7]] : index1301// CHECK:                 %[[VAL_45:.*]] = arith.select %[[VAL_43]], %[[VAL_44]], %[[VAL_33]] : index1302// CHECK:                 %[[VAL_46:.*]] = arith.addi %[[VAL_34]], %[[VAL_7]] : index1303// CHECK:                 scf.yield %[[VAL_45]], %[[VAL_46]] : index, index1304// CHECK:               }1305// CHECK:               scf.for %[[VAL_47:.*]] = %[[VAL_48:.*]]#1 to %[[VAL_4]] step %[[VAL_7]] {1306// CHECK:                 %[[VAL_50:.*]] = arith.addi %[[VAL_47]], %[[VAL_36]] : index1307// CHECK:                 %[[VAL_51:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_50]]] : memref<?xf32>1308// CHECK:                 memref.store %[[VAL_51]], %[[VAL_15]]{{\[}}%[[VAL_23]], %[[VAL_47]]] : memref<32x16xf32>1309// CHECK:               }1310// CHECK:             } else {1311// CHECK:               scf.if %[[VAL_6]] {1312// CHECK:                 %[[VAL_52:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_23]]] : memref<?xindex>1313// CHECK:                 %[[VAL_53:.*]] = arith.addi %[[VAL_23]], %[[VAL_7]] : index1314// CHECK:                 %[[VAL_54:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_53]]] : memref<?xindex>1315// CHECK:                 scf.for %[[VAL_55:.*]] = %[[VAL_52]] to %[[VAL_54]] step %[[VAL_7]] {1316// CHECK:                   %[[VAL_56:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_55]]] : memref<?xindex>1317// CHECK:                   %[[VAL_57:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_55]]] : memref<?xf32>1318// CHECK:                   memref.store %[[VAL_57]], %[[VAL_15]]{{\[}}%[[VAL_23]], %[[VAL_56]]] : memref<32x16xf32>1319// CHECK:                 }1320// CHECK:               } else {1321// CHECK:               }1322// CHECK:             }1323// CHECK:             %[[VAL_58:.*]] = arith.cmpi eq, %[[VAL_24]], %[[VAL_23]] : index1324// CHECK:             %[[VAL_59:.*]] = arith.addi %[[VAL_22]], %[[VAL_7]] : index1325// CHECK:             %[[VAL_60:.*]] = arith.select %[[VAL_58]], %[[VAL_59]], %[[VAL_22]] : index1326// CHECK:             %[[VAL_61:.*]] = arith.addi %[[VAL_23]], %[[VAL_7]] : index1327// CHECK:             scf.yield %[[VAL_60]], %[[VAL_61]] : index, index1328// CHECK:           }1329// CHECK:           scf.for %[[VAL_62:.*]] = %[[VAL_63:.*]]#1 to %[[VAL_3]] step %[[VAL_7]] {1330// CHECK:             %[[VAL_64:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_62]]] : memref<?xindex>1331// CHECK:             %[[VAL_65:.*]] = arith.addi %[[VAL_62]], %[[VAL_7]] : index1332// CHECK:             %[[VAL_66:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_65]]] : memref<?xindex>1333// CHECK:             scf.for %[[VAL_67:.*]] = %[[VAL_64]] to %[[VAL_66]] step %[[VAL_7]] {1334// CHECK:               %[[VAL_68:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_67]]] : memref<?xindex>1335// CHECK:               %[[VAL_69:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_67]]] : memref<?xf32>1336// CHECK:               memref.store %[[VAL_69]], %[[VAL_15]]{{\[}}%[[VAL_62]], %[[VAL_68]]] : memref<32x16xf32>1337// CHECK:             }1338// CHECK:           }1339// CHECK:           %[[VAL_70:.*]] = bufferization.to_tensor %[[VAL_15]] : memref<32x16xf32>1340// CHECK:           return %[[VAL_70]] : tensor<32x16xf32>1341// CHECK:         }1342func.func @add_sd_ds(%arga: tensor<32x16xf32, #Tsd>, %argb: tensor<32x16xf32, #Tds>, %argx: tensor<32x16xf32>) -> tensor<32x16xf32> {1343  %0 = linalg.generic #trait21344     ins(%arga, %argb: tensor<32x16xf32, #Tsd>, tensor<32x16xf32, #Tds>)1345    outs(%argx: tensor<32x16xf32>) {1346      ^bb(%a: f32, %b: f32, %x: f32):1347        %0 = arith.addf %a, %b : f321348        linalg.yield %0 : f321349  } -> tensor<32x16xf32>1350  return %0 : tensor<32x16xf32>1351}1352 1353// CHECK-LABEL:   func @mul_sd_ds(1354// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>, %[[VAL_1:.*]]: tensor<32x16xf32, #sparse{{[0-9]*}}>,1355// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32x16xf32>) -> tensor<32x16xf32> {1356// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 16 : index1357// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index1358// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 1 : index1359// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1360// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1361// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>1362// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1363// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 1 : index} : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xindex>1364// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<32x16xf32, #sparse{{[0-9]*}}> to memref<?xf32>1365// CHECK-DAG:       %[[VAL_13:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<32x16xf32> to memref<32x16xf32>1366// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_13]] : memref<32x16xf32>)1367// CHECK:           %[[VAL_14:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_4]]] : memref<?xindex>1368// CHECK:           %[[VAL_15:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_5]]] : memref<?xindex>1369// CHECK:           scf.for %[[VAL_16:.*]] = %[[VAL_14]] to %[[VAL_15]] step %[[VAL_5]] {1370// CHECK:             %[[VAL_17:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_16]]] : memref<?xindex>1371// CHECK:             %[[VAL_23:.*]] = arith.muli %[[VAL_16]], %[[VAL_3]] : index1372// CHECK:             %[[VAL_18:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_17]]] : memref<?xindex>1373// CHECK:             %[[VAL_19:.*]] = arith.addi %[[VAL_17]], %[[VAL_5]] : index1374// CHECK:             %[[VAL_20:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_19]]] : memref<?xindex>1375// CHECK:             scf.for %[[VAL_21:.*]] = %[[VAL_18]] to %[[VAL_20]] step %[[VAL_5]] {1376// CHECK:               %[[VAL_22:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_21]]] : memref<?xindex>1377// CHECK:               %[[VAL_24:.*]] = arith.addi %[[VAL_22]], %[[VAL_23]] : index1378// CHECK:               %[[VAL_25:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_24]]] : memref<?xf32>1379// CHECK:               %[[VAL_26:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_21]]] : memref<?xf32>1380// CHECK:               %[[VAL_27:.*]] = arith.mulf %[[VAL_25]], %[[VAL_26]] : f321381// CHECK:               memref.store %[[VAL_27]], %[[VAL_13]]{{\[}}%[[VAL_17]], %[[VAL_22]]] : memref<32x16xf32>1382// CHECK:             }1383// CHECK:           }1384// CHECK:           %[[VAL_28:.*]] = bufferization.to_tensor %[[VAL_13]] : memref<32x16xf32>1385// CHECK:           return %[[VAL_28]] : tensor<32x16xf32>1386// CHECK:         }1387func.func @mul_sd_ds(%arga: tensor<32x16xf32, #Tsd>, %argb: tensor<32x16xf32, #Tds>, %argx: tensor<32x16xf32>) -> tensor<32x16xf32> {1388  %0 = linalg.generic #trait21389     ins(%arga, %argb: tensor<32x16xf32, #Tsd>, tensor<32x16xf32, #Tds>)1390    outs(%argx: tensor<32x16xf32>) {1391      ^bb(%a: f32, %b: f32, %x: f32):1392        %0 = arith.mulf %a, %b : f321393        linalg.yield %0 : f321394  } -> tensor<32x16xf32>1395  return %0 : tensor<32x16xf32>1396}1397 1398#trait_matvec = {1399  indexing_maps = [1400    affine_map<(i,j) -> (i,j)>,  // A1401    affine_map<(i,j) -> (j)>,    // b1402    affine_map<(i,j) -> (i)>     // x (out)1403  ],1404  iterator_types = ["parallel", "reduction"],1405  doc = "x(i) += SUM_j A(i,j) * b(j)"1406}1407 1408// CHECK-LABEL:   func @matvec(1409// CHECK-SAME:      %[[VAL_0:.*]]: tensor<16x32xf32, #sparse{{[0-9]*}}>,1410// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32xf32>,1411// CHECK-SAME:      %[[VAL_2:.*]]: tensor<16xf32>) -> tensor<16xf32> {1412// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 16 : index1413// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index1414// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 1 : index1415// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<16x32xf32, #sparse{{[0-9]*}}> to memref<?xindex>1416// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 1 : index} : tensor<16x32xf32, #sparse{{[0-9]*}}> to memref<?xindex>1417// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<16x32xf32, #sparse{{[0-9]*}}> to memref<?xf32>1418// CHECK-DAG:       %[[VAL_9:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32xf32> to memref<32xf32>1419// CHECK-DAG:       %[[VAL_11:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<16xf32> to memref<16xf32>1420// CHECK:           scf.for %[[VAL_12:.*]] = %[[VAL_4]] to %[[VAL_3]] step %[[VAL_5]] {1421// CHECK-DAG:         %[[VAL_13:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_12]]] : memref<?xindex>1422// CHECK-DAG:         %[[VAL_14:.*]] = arith.addi %[[VAL_12]], %[[VAL_5]] : index1423// CHECK-DAG:         %[[VAL_15:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_14]]] : memref<?xindex>1424// CHECK-DAG:         %[[VAL_16:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_12]]] : memref<16xf32>1425// CHECK:             %[[VAL_17:.*]] = scf.for %[[VAL_18:.*]] = %[[VAL_13]] to %[[VAL_15]] step %[[VAL_5]] iter_args(%[[VAL_19:.*]] = %[[VAL_16]]) -> (f32) {1426// CHECK:               %[[VAL_20:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_18]]] : memref<?xindex>1427// CHECK:               %[[VAL_21:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_18]]] : memref<?xf32>1428// CHECK:               %[[VAL_22:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_20]]] : memref<32xf32>1429// CHECK:               %[[VAL_23:.*]] = arith.mulf %[[VAL_21]], %[[VAL_22]] : f321430// CHECK:               %[[VAL_24:.*]] = arith.addf %[[VAL_23]], %[[VAL_19]] : f321431// CHECK:               scf.yield %[[VAL_24]] : f321432// CHECK:             }1433// CHECK:             memref.store %[[VAL_17]], %[[VAL_11]]{{\[}}%[[VAL_12]]] : memref<16xf32>1434// CHECK:           }1435// CHECK:           %[[VAL_26:.*]] = bufferization.to_tensor %[[VAL_11]] : memref<16xf32>1436// CHECK:           return %[[VAL_26]] : tensor<16xf32>1437// CHECK:         }1438func.func @matvec(%argA: tensor<16x32xf32, #Tds>, %argb: tensor<32xf32>, %argx: tensor<16xf32>) -> tensor<16xf32> {1439  %0 = linalg.generic #trait_matvec1440       ins(%argA, %argb: tensor<16x32xf32, #Tds>, tensor<32xf32>)1441      outs(%argx: tensor<16xf32>) {1442    ^bb(%A: f32, %b: f32, %x: f32):1443      %0 = arith.mulf %A, %b : f321444      %1 = arith.addf %0, %x : f321445      linalg.yield %1 : f321446  } -> tensor<16xf32>1447  return %0 : tensor<16xf32>1448}1449 1450#trait_sum_reduction = {1451  indexing_maps = [1452    affine_map<(i,j) -> (i,j)>, // A1453    affine_map<(i,j) -> ()>     // x (scalar out)1454  ],1455  iterator_types = ["reduction", "reduction"],1456  doc = "x += SUM_ij A(i,j)"1457}1458 1459// CHECK-LABEL:   func @sum_reduction(1460// CHECK-SAME:      %[[VAL_0:.*]]: tensor<10x20xf32, #sparse{{[0-9]*}}>,1461// CHECK-SAME:      %[[VAL_1:.*]]: tensor<f32>) -> tensor<f32> {1462// CHECK-DAG:       %[[VAL_2:.*]] = arith.constant 10 : index1463// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 1 : index1464// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index1465// CHECK-DAG:       %[[VAL_5:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<10x20xf32, #sparse{{[0-9]*}}> to memref<?xindex>1466// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<10x20xf32, #sparse{{[0-9]*}}> to memref<?xf32>1467// CHECK-DAG:       %[[VAL_8:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<f32> to memref<f32>1468// CHECK:           %[[VAL_9:.*]] = memref.load %[[VAL_8]][] : memref<f32>1469// CHECK:           %[[VAL_10:.*]] = scf.for %[[VAL_11:.*]] = %[[VAL_4]] to %[[VAL_2]] step %[[VAL_3]] iter_args(%[[VAL_12:.*]] = %[[VAL_9]]) -> (f32) {1470// CHECK:             %[[VAL_13:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_11]]] : memref<?xindex>1471// CHECK:             %[[VAL_14:.*]] = arith.addi %[[VAL_11]], %[[VAL_3]] : index1472// CHECK:             %[[VAL_15:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_14]]] : memref<?xindex>1473// CHECK:             %[[VAL_16:.*]] = scf.for %[[VAL_17:.*]] = %[[VAL_13]] to %[[VAL_15]] step %[[VAL_3]] iter_args(%[[VAL_18:.*]] = %[[VAL_12]]) -> (f32) {1474// CHECK:               %[[VAL_19:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_17]]] : memref<?xf32>1475// CHECK:               %[[VAL_20:.*]] = arith.addf %[[VAL_18]], %[[VAL_19]] : f321476// CHECK:               scf.yield %[[VAL_20]] : f321477// CHECK:             }1478// CHECK:             scf.yield %[[VAL_16]] : f321479// CHECK:           }1480// CHECK:           memref.store %[[VAL_10]], %[[VAL_8]][] : memref<f32>1481// CHECK:           %[[VAL_23:.*]] = bufferization.to_tensor %[[VAL_8]] : memref<f32>1482// CHECK:           return %[[VAL_23]] : tensor<f32>1483// CHECK:         }1484func.func @sum_reduction(%arga: tensor<10x20xf32, #Tds>, %argx: tensor<f32>) -> tensor<f32> {1485  %0 = linalg.generic #trait_sum_reduction1486     ins(%arga: tensor<10x20xf32, #Tds>)1487    outs(%argx: tensor<f32>) {1488      ^bb(%a: f32, %x: f32):1489        %0 = arith.addf %x, %a : f321490        linalg.yield %0 : f321491  } -> tensor<f32>1492  return %0 : tensor<f32>1493}1494 1495#trait_scale = {1496  indexing_maps = [1497    affine_map<(i,j) -> (i,j)>,  // A1498    affine_map<(i,j) -> (i,j)>   // X (out)1499  ],1500  iterator_types = ["parallel", "parallel"],1501  doc = "X(i,j) = A(i,j) * SCALE"1502}1503 1504// CHECK-LABEL:   func @scale(1505// CHECK-SAME:      %[[VAL_0:.*]]: tensor<?x?xf64, #sparse{{[0-9]*}}>,1506// CHECK-SAME:      %[[VAL_1:.*]]: tensor<?x?xf64>) -> tensor<?x?xf64> {1507// CHECK-DAG:       %[[VAL_2:.*]] = arith.constant 2.000000e+00 : f641508// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 0 : index1509// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 1 : index1510// CHECK-DAG:       %[[VAL_5:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<?x?xf64, #sparse{{[0-9]*}}> to memref<?xindex>1511// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 1 : index} : tensor<?x?xf64, #sparse{{[0-9]*}}> to memref<?xindex>1512// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<?x?xf64, #sparse{{[0-9]*}}> to memref<?xf64>1513// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.lvl %[[VAL_0]], %[[VAL_3]] : tensor<?x?xf64, #sparse{{[0-9]*}}>1514// CHECK-DAG:       %[[VAL_11:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<?x?xf64> to memref<?x?xf64>1515// CHECK-DAG:       linalg.fill ins(%{{.*}} : f64) outs(%[[VAL_11]] : memref<?x?xf64>)1516// CHECK:           scf.for %[[VAL_12:.*]] = %[[VAL_3]] to %[[VAL_8]] step %[[VAL_4]] {1517// CHECK:             %[[VAL_13:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_12]]] : memref<?xindex>1518// CHECK:             %[[VAL_14:.*]] = arith.addi %[[VAL_12]], %[[VAL_4]] : index1519// CHECK:             %[[VAL_15:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_14]]] : memref<?xindex>1520// CHECK:             scf.for %[[VAL_16:.*]] = %[[VAL_13]] to %[[VAL_15]] step %[[VAL_4]] {1521// CHECK:               %[[VAL_17:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_16]]] : memref<?xindex>1522// CHECK:               %[[VAL_18:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_16]]] : memref<?xf64>1523// CHECK:               %[[VAL_19:.*]] = arith.mulf %[[VAL_18]], %[[VAL_2]] : f641524// CHECK:               memref.store %[[VAL_19]], %[[VAL_11]]{{\[}}%[[VAL_12]], %[[VAL_17]]] : memref<?x?xf64>1525// CHECK:             }1526// CHECK:           }1527// CHECK:           %[[VAL_20:.*]] = bufferization.to_tensor %[[VAL_11]] : memref<?x?xf64>1528// CHECK:           return %[[VAL_20]] : tensor<?x?xf64>1529// CHECK:         }1530func.func @scale(%arga: tensor<?x?xf64, #Tds>, %argx: tensor<?x?xf64>) -> tensor<?x?xf64> {1531  %0 = arith.constant 2.0 : f641532  %1 = linalg.generic #trait_scale1533     ins(%arga: tensor<?x?xf64, #Tds>)1534    outs(%argx: tensor<?x?xf64>) {1535      ^bb(%a: f64, %x: f64):1536        %2 = arith.mulf %a, %0 : f641537        linalg.yield %2 : f641538  } -> tensor<?x?xf64>1539  return %1 : tensor<?x?xf64>1540}1541 1542#trait_sampled_dense_dense = {1543  indexing_maps = [1544    affine_map<(i,j,k) -> (i,j)>,  // S1545    affine_map<(i,j,k) -> (i,k)>,  // A1546    affine_map<(i,j,k) -> (k,j)>,  // B1547    affine_map<(i,j,k) -> (i,j)>   // X (out)1548  ],1549  iterator_types = ["parallel", "parallel", "reduction"],1550  doc = "X(i,j) += S(i,j) SUM_k A(i,k) B(k,j)"1551}1552 1553// CHECK-LABEL:   func.func @sampled_dense_dense(1554// CHECK-SAME:      %[[VAL_0:.*0]]: tensor<?x?xf32, #sparse{{[0-9]*}}>,1555// CHECK-SAME:      %[[VAL_1:.*1]]: tensor<?x?xf32>,1556// CHECK-SAME:      %[[VAL_2:.*2]]: tensor<?x?xf32>,1557// CHECK-SAME:      %[[VAL_3:.*3]]: tensor<?x?xf32>) -> tensor<?x?xf32> {1558// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 1 : index1559// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 0 : index1560// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xindex>1561// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xindex>1562// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xindex>1563// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 1 : index} : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xindex>1564// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xf32>1565// CHECK-DAG:       %[[VAL_11:.*]] = tensor.dim %[[VAL_1]], %[[VAL_4]] : tensor<?x?xf32>1566// CHECK-DAG:       %[[VAL_12:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<?x?xf32> to memref<?x?xf32>1567// CHECK-DAG:       %[[VAL_13:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<?x?xf32> to memref<?x?xf32>1568// CHECK-DAG:       %[[VAL_14:.*]] = bufferization.to_buffer %[[VAL_3]] : tensor<?x?xf32> to memref<?x?xf32>1569// CHECK:           %[[VAL_15:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_5]]] : memref<?xindex>1570// CHECK:           %[[VAL_16:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_4]]] : memref<?xindex>1571// CHECK:           scf.for %[[VAL_17:.*]] = %[[VAL_15]] to %[[VAL_16]] step %[[VAL_4]] {1572// CHECK:             %[[VAL_18:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_17]]] : memref<?xindex>1573// CHECK:             scf.for %[[VAL_19:.*]] = %[[VAL_5]] to %[[VAL_11]] step %[[VAL_4]] {1574// CHECK:               %[[VAL_20:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_18]], %[[VAL_19]]] : memref<?x?xf32>1575// CHECK:               %[[VAL_21:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_17]]] : memref<?xindex>1576// CHECK:               %[[VAL_22:.*]] = arith.addi %[[VAL_17]], %[[VAL_4]] : index1577// CHECK:               %[[VAL_23:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_22]]] : memref<?xindex>1578// CHECK:               scf.for %[[VAL_24:.*]] = %[[VAL_21]] to %[[VAL_23]] step %[[VAL_4]] {1579// CHECK:                 %[[VAL_25:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_24]]] : memref<?xindex>1580// CHECK:                 %[[VAL_26:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_18]], %[[VAL_25]]] : memref<?x?xf32>1581// CHECK:                 %[[VAL_27:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_24]]] : memref<?xf32>1582// CHECK:                 %[[VAL_28:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_19]], %[[VAL_25]]] : memref<?x?xf32>1583// CHECK:                 %[[VAL_29:.*]] = arith.mulf %[[VAL_20]], %[[VAL_28]] : f321584// CHECK:                 %[[VAL_30:.*]] = arith.mulf %[[VAL_27]], %[[VAL_29]] : f321585// CHECK:                 %[[VAL_31:.*]] = arith.addf %[[VAL_26]], %[[VAL_30]] : f321586// CHECK:                 memref.store %[[VAL_31]], %[[VAL_14]]{{\[}}%[[VAL_18]], %[[VAL_25]]] : memref<?x?xf32>1587// CHECK:               }1588// CHECK:             }1589// CHECK:           }1590// CHECK:           %[[VAL_32:.*]] = bufferization.to_tensor %[[VAL_14]] : memref<?x?xf32>1591// CHECK:           return %[[VAL_32]] : tensor<?x?xf32>1592// CHECK:         }1593func.func @sampled_dense_dense(%args: tensor<?x?xf32, #Tss>,1594                          %arga: tensor<?x?xf32>,1595                          %argb: tensor<?x?xf32>,1596                          %argx: tensor<?x?xf32>) -> tensor<?x?xf32> {1597  %0 = linalg.generic #trait_sampled_dense_dense1598     ins(%args, %arga, %argb: tensor<?x?xf32, #Tss>, tensor<?x?xf32>, tensor<?x?xf32>)1599    outs(%argx: tensor<?x?xf32>) {1600      ^bb(%s: f32, %a: f32, %b: f32, %x: f32):1601        %0 = arith.mulf %a, %b : f321602        %1 = arith.mulf %s, %0 : f321603        %2 = arith.addf %x, %1 : f321604        linalg.yield %2 : f321605  } -> tensor<?x?xf32>1606  return %0 : tensor<?x?xf32>1607}1608 1609#trait_sum_kernel_with_inv = {1610  indexing_maps = [1611    affine_map<(i,j) -> (i,j)>,  // A1612    affine_map<(i,j) -> (i,j)>,  // B1613    affine_map<(i,j) -> (i,j)>,  // C1614    affine_map<(i,j) -> (i)>,    // d1615    affine_map<(i,j) -> ()>,     // e1616    affine_map<(i,j) -> (i)>     // x (out)1617  ],1618  iterator_types = ["parallel", "reduction"],1619  doc = "x(i) = SUM_j A(i,j) * B(i,j) * d(i) * e + C(i,j)"1620}1621 1622// CHECK-LABEL:   func @sum_kernel_with_inv(1623// CHECK-SAME:      %[[VAL_0:.*0]]: tensor<?x?xf32, #sparse{{[0-9]*}}>, %[[VAL_1:.*1]]: tensor<?x?xf32, #sparse{{[0-9]*}}>, %[[VAL_2:.*2]]: tensor<?x?xf32, #sparse{{[0-9]*}}>,1624// CHECK-SAME:      %[[VAL_3:.*3]]: tensor<?xf32>,1625// CHECK-SAME:      %[[VAL_4:.*4]]: tensor<f32>,1626// CHECK-SAME:      %[[VAL_5:.*5]]: tensor<?xf32>) -> tensor<?xf32> {1627// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant 0 : index1628// CHECK-DAG:       %[[VAL_7:.*]] = arith.constant 1 : index1629// CHECK-DAG:       %[[VAL_8:.*]] = arith.constant true1630// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xindex>1631// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xindex>1632// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 1 : index} : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xindex>1633// CHECK-DAG:       %[[VAL_12:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 1 : index} : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xindex>1634// CHECK-DAG:       %[[VAL_13:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xf32>1635// CHECK-DAG:       %[[VAL_14:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 1 : index} : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xindex>1636// CHECK-DAG:       %[[VAL_15:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 1 : index} : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xindex>1637// CHECK-DAG:       %[[VAL_16:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xf32>1638// CHECK-DAG:       %[[VAL_17:.*]] = sparse_tensor.positions %[[VAL_2]] {level = 1 : index} : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xindex>1639// CHECK-DAG:       %[[VAL_18:.*]] = sparse_tensor.coordinates %[[VAL_2]] {level = 1 : index} : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xindex>1640// CHECK-DAG:       %[[VAL_19:.*]] = sparse_tensor.values %[[VAL_2]] : tensor<?x?xf32, #sparse{{[0-9]*}}> to memref<?xf32>1641// CHECK-DAG:       %[[VAL_20:.*]] = bufferization.to_buffer %[[VAL_3]] : tensor<?xf32> to memref<?xf32>1642// CHECK-DAG:       %[[VAL_21:.*]] = bufferization.to_buffer %[[VAL_4]] : tensor<f32> to memref<f32>1643// CHECK-DAG:       %[[VAL_22:.*]] = sparse_tensor.lvl %[[VAL_2]], %[[VAL_6]] : tensor<?x?xf32,1644// CHECK-DAG:       %[[VAL_24:.*]] = bufferization.to_buffer %[[VAL_5]] : tensor<?xf32> to memref<?xf32>1645// CHECK:           %[[VAL_25:.*]] = memref.load %[[VAL_21]][] : memref<f32>1646// CHECK:           %[[VAL_26:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_6]]] : memref<?xindex>1647// CHECK:           %[[VAL_27:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_7]]] : memref<?xindex>1648// CHECK:           %[[VAL_28:.*]]:2 = scf.while (%[[VAL_29:.*]] = %[[VAL_26]], %[[VAL_30:.*]] = %[[VAL_6]]) : (index, index) -> (index, index) {1649// CHECK:             %[[VAL_31:.*]] = arith.cmpi ult, %[[VAL_29]], %[[VAL_27]] : index1650// CHECK:             scf.condition(%[[VAL_31]]) %[[VAL_29]], %[[VAL_30]] : index, index1651// CHECK:           } do {1652// CHECK:           ^bb0(%[[VAL_32:.*]]: index, %[[VAL_33:.*]]: index):1653// CHECK:             %[[VAL_34:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_32]]] : memref<?xindex>1654// CHECK:             %[[VAL_35:.*]] = arith.cmpi eq, %[[VAL_34]], %[[VAL_33]] : index1655// CHECK:             scf.if %[[VAL_35]] {1656// CHECK:               %[[VAL_36:.*]] = memref.load %[[VAL_24]]{{\[}}%[[VAL_33]]] : memref<?xf32>1657// CHECK:               %[[VAL_37:.*]] = memref.load %[[VAL_20]]{{\[}}%[[VAL_33]]] : memref<?xf32>1658// CHECK:               %[[VAL_38:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_32]]] : memref<?xindex>1659// CHECK:               %[[VAL_39:.*]] = arith.addi %[[VAL_32]], %[[VAL_7]] : index1660// CHECK:               %[[VAL_40:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_39]]] : memref<?xindex>1661// CHECK:               %[[VAL_41:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_33]]] : memref<?xindex>1662// CHECK:               %[[VAL_42:.*]] = arith.addi %[[VAL_33]], %[[VAL_7]] : index1663// CHECK:               %[[VAL_43:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_42]]] : memref<?xindex>1664// CHECK:               %[[VAL_44:.*]] = memref.load %[[VAL_17]]{{\[}}%[[VAL_33]]] : memref<?xindex>1665// CHECK:               %[[VAL_45:.*]] = arith.addi %[[VAL_33]], %[[VAL_7]] : index1666// CHECK:               %[[VAL_46:.*]] = memref.load %[[VAL_17]]{{\[}}%[[VAL_45]]] : memref<?xindex>1667// CHECK:               %[[VAL_47:.*]]:4 = scf.while (%[[VAL_48:.*]] = %[[VAL_38]], %[[VAL_49:.*]] = %[[VAL_41]], %[[VAL_50:.*]] = %[[VAL_44]], %[[VAL_51:.*]] = %[[VAL_36]]) : (index, index, index, f32) -> (index, index, index, f32) {1668// CHECK:                 %[[VAL_52:.*]] = arith.cmpi ult, %[[VAL_48]], %[[VAL_40]] : index1669// CHECK:                 %[[VAL_53:.*]] = arith.cmpi ult, %[[VAL_49]], %[[VAL_43]] : index1670// CHECK:                 %[[VAL_54:.*]] = arith.andi %[[VAL_52]], %[[VAL_53]] : i11671// CHECK:                 %[[VAL_55:.*]] = arith.cmpi ult, %[[VAL_50]], %[[VAL_46]] : index1672// CHECK:                 %[[VAL_56:.*]] = arith.andi %[[VAL_54]], %[[VAL_55]] : i11673// CHECK:                 scf.condition(%[[VAL_56]]) %[[VAL_48]], %[[VAL_49]], %[[VAL_50]], %[[VAL_51]] : index, index, index, f321674// CHECK:               } do {1675// CHECK:               ^bb0(%[[VAL_57:.*]]: index, %[[VAL_58:.*]]: index, %[[VAL_59:.*]]: index, %[[VAL_60:.*]]: f32):1676// CHECK-DAG:             %[[VAL_61:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_57]]] : memref<?xindex>1677// CHECK-DAG:             %[[VAL_62:.*]] = memref.load %[[VAL_15]]{{\[}}%[[VAL_58]]] : memref<?xindex>1678// CHECK-DAG:             %[[VAL_65:.*]] = memref.load %[[VAL_18]]{{\[}}%[[VAL_59]]] : memref<?xindex>1679// CHECK:                 %[[VAL_63:.*]] = arith.cmpi ult, %[[VAL_62]], %[[VAL_61]] : index1680// CHECK:                 %[[VAL_64:.*]] = arith.select %[[VAL_63]], %[[VAL_62]], %[[VAL_61]] : index1681// CHECK:                 %[[VAL_66:.*]] = arith.cmpi ult, %[[VAL_65]], %[[VAL_64]] : index1682// CHECK:                 %[[VAL_67:.*]] = arith.select %[[VAL_66]], %[[VAL_65]], %[[VAL_64]] : index1683// CHECK:                 %[[VAL_68:.*]] = arith.cmpi eq, %[[VAL_61]], %[[VAL_67]] : index1684// CHECK:                 %[[VAL_69:.*]] = arith.cmpi eq, %[[VAL_62]], %[[VAL_67]] : index1685// CHECK:                 %[[VAL_70:.*]] = arith.andi %[[VAL_68]], %[[VAL_69]] : i11686// CHECK:                 %[[VAL_71:.*]] = arith.cmpi eq, %[[VAL_65]], %[[VAL_67]] : index1687// CHECK:                 %[[VAL_72:.*]] = arith.andi %[[VAL_70]], %[[VAL_71]] : i11688// CHECK:                 %[[VAL_73:.*]] = scf.if %[[VAL_72]] -> (f32) {1689// CHECK:                   %[[VAL_74:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_57]]] : memref<?xf32>1690// CHECK:                   %[[VAL_75:.*]] = memref.load %[[VAL_16]]{{\[}}%[[VAL_58]]] : memref<?xf32>1691// CHECK:                   %[[VAL_76:.*]] = arith.mulf %[[VAL_74]], %[[VAL_75]] : f321692// CHECK:                   %[[VAL_77:.*]] = arith.mulf %[[VAL_76]], %[[VAL_37]] : f321693// CHECK:                   %[[VAL_78:.*]] = arith.mulf %[[VAL_77]], %[[VAL_25]] : f321694// CHECK:                   %[[VAL_79:.*]] = memref.load %[[VAL_19]]{{\[}}%[[VAL_59]]] : memref<?xf32>1695// CHECK:                   %[[VAL_80:.*]] = arith.addf %[[VAL_78]], %[[VAL_79]] : f321696// CHECK:                   %[[VAL_81:.*]] = arith.addf %[[VAL_60]], %[[VAL_80]] : f321697// CHECK:                   scf.yield %[[VAL_81]] : f321698// CHECK:                 } else {1699// CHECK:                   %[[VAL_82:.*]] = arith.cmpi eq, %[[VAL_61]], %[[VAL_67]] : index1700// CHECK:                   %[[VAL_83:.*]] = arith.cmpi eq, %[[VAL_62]], %[[VAL_67]] : index1701// CHECK:                   %[[VAL_84:.*]] = arith.andi %[[VAL_82]], %[[VAL_83]] : i11702// CHECK:                   %[[VAL_85:.*]] = scf.if %[[VAL_84]] -> (f32) {1703// CHECK:                     %[[VAL_86:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_57]]] : memref<?xf32>1704// CHECK:                     %[[VAL_87:.*]] = memref.load %[[VAL_16]]{{\[}}%[[VAL_58]]] : memref<?xf32>1705// CHECK:                     %[[VAL_88:.*]] = arith.mulf %[[VAL_86]], %[[VAL_87]] : f321706// CHECK:                     %[[VAL_89:.*]] = arith.mulf %[[VAL_88]], %[[VAL_37]] : f321707// CHECK:                     %[[VAL_90:.*]] = arith.mulf %[[VAL_89]], %[[VAL_25]] : f321708// CHECK:                     %[[VAL_91:.*]] = arith.addf %[[VAL_60]], %[[VAL_90]] : f321709// CHECK:                     scf.yield %[[VAL_91]] : f321710// CHECK:                   } else {1711// CHECK:                     %[[VAL_92:.*]] = arith.cmpi eq, %[[VAL_65]], %[[VAL_67]] : index1712// CHECK:                     %[[VAL_93:.*]] = scf.if %[[VAL_92]] -> (f32) {1713// CHECK:                       %[[VAL_94:.*]] = memref.load %[[VAL_19]]{{\[}}%[[VAL_59]]] : memref<?xf32>1714// CHECK:                       %[[VAL_95:.*]] = arith.addf %[[VAL_60]], %[[VAL_94]] : f321715// CHECK:                       scf.yield %[[VAL_95]] : f321716// CHECK:                     } else {1717// CHECK:                       scf.yield %[[VAL_60]] : f321718// CHECK:                     }1719// CHECK:                     scf.yield %[[VAL_96:.*]] : f321720// CHECK:                   }1721// CHECK:                   scf.yield %[[VAL_97:.*]] : f321722// CHECK:                 }1723// CHECK:                 %[[VAL_98:.*]] = arith.cmpi eq, %[[VAL_61]], %[[VAL_67]] : index1724// CHECK:                 %[[VAL_99:.*]] = arith.addi %[[VAL_57]], %[[VAL_7]] : index1725// CHECK:                 %[[VAL_100:.*]] = arith.select %[[VAL_98]], %[[VAL_99]], %[[VAL_57]] : index1726// CHECK:                 %[[VAL_101:.*]] = arith.cmpi eq, %[[VAL_62]], %[[VAL_67]] : index1727// CHECK:                 %[[VAL_102:.*]] = arith.addi %[[VAL_58]], %[[VAL_7]] : index1728// CHECK:                 %[[VAL_103:.*]] = arith.select %[[VAL_101]], %[[VAL_102]], %[[VAL_58]] : index1729// CHECK:                 %[[VAL_104:.*]] = arith.cmpi eq, %[[VAL_65]], %[[VAL_67]] : index1730// CHECK:                 %[[VAL_105:.*]] = arith.addi %[[VAL_59]], %[[VAL_7]] : index1731// CHECK:                 %[[VAL_106:.*]] = arith.select %[[VAL_104]], %[[VAL_105]], %[[VAL_59]] : index1732// CHECK:                 scf.yield %[[VAL_100]], %[[VAL_103]], %[[VAL_106]], %[[VAL_107:.*]] : index, index, index, f321733// CHECK:               }1734// CHECK:               %[[VAL_108:.*]]:3 = scf.while (%[[VAL_109:.*]] = %[[VAL_110:.*]]#0, %[[VAL_111:.*]] = %[[VAL_110]]#1, %[[VAL_112:.*]] = %[[VAL_110]]#3) : (index, index, f32) -> (index, index, f32) {1735// CHECK:                 %[[VAL_113:.*]] = arith.cmpi ult, %[[VAL_109]], %[[VAL_40]] : index1736// CHECK:                 %[[VAL_114:.*]] = arith.cmpi ult, %[[VAL_111]], %[[VAL_43]] : index1737// CHECK:                 %[[VAL_115:.*]] = arith.andi %[[VAL_113]], %[[VAL_114]] : i11738// CHECK:                 scf.condition(%[[VAL_115]]) %[[VAL_109]], %[[VAL_111]], %[[VAL_112]] : index, index, f321739// CHECK:               } do {1740// CHECK:               ^bb0(%[[VAL_116:.*]]: index, %[[VAL_117:.*]]: index, %[[VAL_118:.*]]: f32):1741// CHECK:                 %[[VAL_119:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_116]]] : memref<?xindex>1742// CHECK:                 %[[VAL_120:.*]] = memref.load %[[VAL_15]]{{\[}}%[[VAL_117]]] : memref<?xindex>1743// CHECK:                 %[[VAL_121:.*]] = arith.cmpi ult, %[[VAL_120]], %[[VAL_119]] : index1744// CHECK:                 %[[VAL_122:.*]] = arith.select %[[VAL_121]], %[[VAL_120]], %[[VAL_119]] : index1745// CHECK:                 %[[VAL_123:.*]] = arith.cmpi eq, %[[VAL_119]], %[[VAL_122]] : index1746// CHECK:                 %[[VAL_124:.*]] = arith.cmpi eq, %[[VAL_120]], %[[VAL_122]] : index1747// CHECK:                 %[[VAL_125:.*]] = arith.andi %[[VAL_123]], %[[VAL_124]] : i11748// CHECK:                 %[[VAL_126:.*]] = scf.if %[[VAL_125]] -> (f32) {1749// CHECK:                   %[[VAL_127:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_116]]] : memref<?xf32>1750// CHECK:                   %[[VAL_128:.*]] = memref.load %[[VAL_16]]{{\[}}%[[VAL_117]]] : memref<?xf32>1751// CHECK:                   %[[VAL_129:.*]] = arith.mulf %[[VAL_127]], %[[VAL_128]] : f321752// CHECK:                   %[[VAL_130:.*]] = arith.mulf %[[VAL_129]], %[[VAL_37]] : f321753// CHECK:                   %[[VAL_131:.*]] = arith.mulf %[[VAL_130]], %[[VAL_25]] : f321754// CHECK:                   %[[VAL_132:.*]] = arith.addf %[[VAL_118]], %[[VAL_131]] : f321755// CHECK:                   scf.yield %[[VAL_132]] : f321756// CHECK:                 } else {1757// CHECK:                   scf.yield %[[VAL_118]] : f321758// CHECK:                 }1759// CHECK:                 %[[VAL_133:.*]] = arith.cmpi eq, %[[VAL_119]], %[[VAL_122]] : index1760// CHECK:                 %[[VAL_134:.*]] = arith.addi %[[VAL_116]], %[[VAL_7]] : index1761// CHECK:                 %[[VAL_135:.*]] = arith.select %[[VAL_133]], %[[VAL_134]], %[[VAL_116]] : index1762// CHECK:                 %[[VAL_136:.*]] = arith.cmpi eq, %[[VAL_120]], %[[VAL_122]] : index1763// CHECK:                 %[[VAL_137:.*]] = arith.addi %[[VAL_117]], %[[VAL_7]] : index1764// CHECK:                 %[[VAL_138:.*]] = arith.select %[[VAL_136]], %[[VAL_137]], %[[VAL_117]] : index1765// CHECK:                 scf.yield %[[VAL_135]], %[[VAL_138]], %[[VAL_139:.*]] : index, index, f321766// CHECK:               }1767// CHECK:               %[[VAL_140:.*]] = scf.for %[[VAL_141:.*]] = %[[VAL_142:.*]]#2 to %[[VAL_46]] step %[[VAL_7]] iter_args(%[[VAL_143:.*]] = %[[VAL_144:.*]]#2) -> (f32) {1768// CHECK:                 %[[VAL_145:.*]] = memref.load %[[VAL_19]]{{\[}}%[[VAL_141]]] : memref<?xf32>1769// CHECK:                 %[[VAL_146:.*]] = arith.addf %[[VAL_143]], %[[VAL_145]] : f321770// CHECK:                 scf.yield %[[VAL_146]] : f321771// CHECK:               }1772// CHECK:               memref.store %[[VAL_147:.*]], %[[VAL_24]]{{\[}}%[[VAL_33]]] : memref<?xf32>1773// CHECK:             } else {1774// CHECK:               scf.if %[[VAL_8]] {1775// CHECK:                 %[[VAL_148:.*]] = memref.load %[[VAL_24]]{{\[}}%[[VAL_33]]] : memref<?xf32>1776// CHECK:                 %[[VAL_149:.*]] = memref.load %[[VAL_17]]{{\[}}%[[VAL_33]]] : memref<?xindex>1777// CHECK:                 %[[VAL_150:.*]] = arith.addi %[[VAL_33]], %[[VAL_7]] : index1778// CHECK:                 %[[VAL_151:.*]] = memref.load %[[VAL_17]]{{\[}}%[[VAL_150]]] : memref<?xindex>1779// CHECK:                 %[[VAL_152:.*]] = scf.for %[[VAL_153:.*]] = %[[VAL_149]] to %[[VAL_151]] step %[[VAL_7]] iter_args(%[[VAL_154:.*]] = %[[VAL_148]]) -> (f32) {1780// CHECK:                   %[[VAL_155:.*]] = memref.load %[[VAL_19]]{{\[}}%[[VAL_153]]] : memref<?xf32>1781// CHECK:                   %[[VAL_156:.*]] = arith.addf %[[VAL_154]], %[[VAL_155]] : f321782// CHECK:                   scf.yield %[[VAL_156]] : f321783// CHECK:                 }1784// CHECK:                 memref.store %[[VAL_157:.*]], %[[VAL_24]]{{\[}}%[[VAL_33]]] : memref<?xf32>1785// CHECK:               } else {1786// CHECK:               }1787// CHECK:             }1788// CHECK:             %[[VAL_158:.*]] = arith.cmpi eq, %[[VAL_34]], %[[VAL_33]] : index1789// CHECK:             %[[VAL_159:.*]] = arith.addi %[[VAL_32]], %[[VAL_7]] : index1790// CHECK:             %[[VAL_160:.*]] = arith.select %[[VAL_158]], %[[VAL_159]], %[[VAL_32]] : index1791// CHECK:             %[[VAL_161:.*]] = arith.addi %[[VAL_33]], %[[VAL_7]] : index1792// CHECK:             scf.yield %[[VAL_160]], %[[VAL_161]] : index, index1793// CHECK:           }1794// CHECK:           scf.for %[[VAL_162:.*]] = %[[VAL_163:.*]]#1 to %[[VAL_22]] step %[[VAL_7]] {1795// CHECK:             %[[VAL_164:.*]] = memref.load %[[VAL_24]]{{\[}}%[[VAL_162]]] : memref<?xf32>1796// CHECK:             %[[VAL_165:.*]] = memref.load %[[VAL_17]]{{\[}}%[[VAL_162]]] : memref<?xindex>1797// CHECK:             %[[VAL_166:.*]] = arith.addi %[[VAL_162]], %[[VAL_7]] : index1798// CHECK:             %[[VAL_167:.*]] = memref.load %[[VAL_17]]{{\[}}%[[VAL_166]]] : memref<?xindex>1799// CHECK:             %[[VAL_168:.*]] = scf.for %[[VAL_169:.*]] = %[[VAL_165]] to %[[VAL_167]] step %[[VAL_7]] iter_args(%[[VAL_170:.*]] = %[[VAL_164]]) -> (f32) {1800// CHECK:               %[[VAL_171:.*]] = memref.load %[[VAL_19]]{{\[}}%[[VAL_169]]] : memref<?xf32>1801// CHECK:               %[[VAL_172:.*]] = arith.addf %[[VAL_170]], %[[VAL_171]] : f321802// CHECK:               scf.yield %[[VAL_172]] : f321803// CHECK:             }1804// CHECK:             memref.store %[[VAL_173:.*]], %[[VAL_24]]{{\[}}%[[VAL_162]]] : memref<?xf32>1805// CHECK:           }1806// CHECK:           %[[VAL_174:.*]] = bufferization.to_tensor %[[VAL_24]] : memref<?xf32>1807// CHECK:           return %[[VAL_174]] : tensor<?xf32>1808// CHECK:         }1809func.func @sum_kernel_with_inv(%arga: tensor<?x?xf32, #Tss>,1810                          %argb: tensor<?x?xf32, #Tds>,1811                          %argc: tensor<?x?xf32, #Tds>,1812                          %argd: tensor<?xf32>,1813                          %arge: tensor<f32>,1814                          %argx: tensor<?xf32>) -> tensor<?xf32> {1815  %0 = linalg.generic #trait_sum_kernel_with_inv1816    ins(%arga, %argb, %argc, %argd, %arge : tensor<?x?xf32, #Tss>,1817                                            tensor<?x?xf32, #Tds>,1818                                            tensor<?x?xf32, #Tds>,1819                                            tensor<?xf32>,1820                                            tensor<f32>)1821    outs(%argx: tensor<?xf32>) {1822      ^bb(%a: f32, %b: f32, %c: f32, %d: f32, %e: f32, %x: f32):1823        %0 = arith.mulf %a, %b : f321824        %1 = arith.mulf %0, %d : f321825        %2 = arith.mulf %1, %e : f321826        %3 = arith.addf %2, %c : f321827        %4 = arith.addf %x, %3 : f321828        linalg.yield %4 : f321829  } -> tensor<?xf32>1830  return %0 : tensor<?xf32>1831}1832