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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#DV = #sparse_tensor.encoding<{ map = (d0) -> (d0 : dense) }>5#SV = #sparse_tensor.encoding<{ map = (d0) -> (d0 : compressed) }>6 7#trait1 = {8  indexing_maps = [9    affine_map<(i) -> (i)>,  // a10    affine_map<(i) -> (i)>   // x (out)11  ],12  iterator_types = ["parallel"],13  doc = "x(i) = a(i) OP b"14}15 16// CHECK-LABEL:   func @add_d(17// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32xf32, #sparse{{[0-9]*}}>,18// CHECK-SAME:      %[[VAL_1:.*]]: f32,19// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32xf32>) -> tensor<32xf32> {20// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index21// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index22// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 1 : index23// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>24// CHECK-DAG:       %[[VAL_8:.*]] = bufferization.to_buffer %[[VAL_2]]25// CHECK:           linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_8]] : memref<32xf32>)26// CHECK:           scf.for %[[VAL_9:.*]] = %[[VAL_4]] to %[[VAL_3]] step %[[VAL_5]] {27// CHECK:             %[[VAL_10:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_9]]] : memref<?xf32>28// CHECK:             %[[VAL_11:.*]] = arith.addf %[[VAL_10]], %[[VAL_1]] : f3229// CHECK:             memref.store %[[VAL_11]], %[[VAL_8]]{{\[}}%[[VAL_9]]] : memref<32xf32>30// CHECK:           }31// CHECK:           %[[VAL_12:.*]] = bufferization.to_tensor %[[VAL_8]] : memref<32xf32>32// CHECK:           return %[[VAL_12]] : tensor<32xf32>33// CHECK:         }34func.func @add_d(%arga: tensor<32xf32, #DV>, %argb: f32, %argx: tensor<32xf32>) -> tensor<32xf32> {35  %0 = linalg.generic #trait136     ins(%arga: tensor<32xf32, #DV>)37    outs(%argx: tensor<32xf32>) {38      ^bb(%a: f32, %x: f32):39        %0 = arith.addf %a, %argb : f3240        linalg.yield %0 : f3241  } -> tensor<32xf32>42  return %0 : tensor<32xf32>43}44 45// CHECK-LABEL:   func @add_d_init(46// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32xf32, #sparse{{[0-9]*}}>,47// CHECK-SAME:      %[[VAL_1:.*]]: f32) -> tensor<32xf32> {48// CHECK-DAG:       %[[VAL_2:.*]] = arith.constant 32 : index49// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 0.000000e+00 : f3250// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index51// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 1 : index52// CHECK:           %[[VAL_INITTENSOR:.*]] = tensor.empty() : tensor<32xf32>53// CHECK:           %[[VAL_6:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>54// CHECK:           %[[VAL_7:.*]] = bufferization.to_buffer %[[VAL_INITTENSOR]] : tensor<32xf32> to memref<32xf32>55// CHECK:           linalg.fill ins(%[[VAL_3]] : f32) outs(%[[VAL_7]] : memref<32xf32>)56// CHECK:           scf.for %[[VAL_8:.*]] = %[[VAL_4]] to %[[VAL_2]] step %[[VAL_5]] {57// CHECK:             %[[VAL_9:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_8]]] : memref<?xf32>58// CHECK:             %[[VAL_10:.*]] = arith.addf %[[VAL_9]], %[[VAL_1]] : f3259// CHECK:             memref.store %[[VAL_10]], %[[VAL_7]]{{\[}}%[[VAL_8]]] : memref<32xf32>60// CHECK:           }61// CHECK:           %[[VAL_11:.*]] = bufferization.to_tensor %[[VAL_7]] : memref<32xf32>62// CHECK:           return %[[VAL_11]] : tensor<32xf32>63// CHECK:         }64func.func @add_d_init(%arga: tensor<32xf32, #DV>, %argb: f32) -> tensor<32xf32> {65  %u = tensor.empty() : tensor<32xf32>66  %0 = linalg.generic #trait167     ins(%arga: tensor<32xf32, #DV>)68    outs(%u: tensor<32xf32>) {69      ^bb(%a: f32, %x: f32):70        %0 = arith.addf %a, %argb : f3271        linalg.yield %0 : f3272  } -> tensor<32xf32>73  return %0 : tensor<32xf32>74}75 76// CHECK-LABEL:   func @mul_d(77// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32xf32, #sparse{{[0-9]*}}>,78// CHECK-SAME:      %[[VAL_1:.*]]: f32,79// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32xf32>) -> tensor<32xf32> {80// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index81// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index82// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 1 : index83// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>84// CHECK-DAG:       %[[VAL_8:.*]] = bufferization.to_buffer %[[VAL_2]]85// CHECK:           linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_8]] : memref<32xf32>)86// CHECK:           scf.for %[[VAL_9:.*]] = %[[VAL_4]] to %[[VAL_3]] step %[[VAL_5]] {87// CHECK:             %[[VAL_10:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_9]]] : memref<?xf32>88// CHECK:             %[[VAL_11:.*]] = arith.mulf %[[VAL_10]], %[[VAL_1]] : f3289// CHECK:             memref.store %[[VAL_11]], %[[VAL_8]]{{\[}}%[[VAL_9]]] : memref<32xf32>90// CHECK:           }91// CHECK:           %[[VAL_12:.*]] = bufferization.to_tensor %[[VAL_8]] : memref<32xf32>92// CHECK:           return %[[VAL_12]] : tensor<32xf32>93// CHECK:         }94func.func @mul_d(%arga: tensor<32xf32, #DV>, %argb: f32, %argx: tensor<32xf32>) -> tensor<32xf32> {95  %0 = linalg.generic #trait196     ins(%arga: tensor<32xf32, #DV>)97    outs(%argx: tensor<32xf32>) {98      ^bb(%a: f32, %x: f32):99        %0 = arith.mulf %a, %argb : f32100        linalg.yield %0 : f32101  } -> tensor<32xf32>102  return %0 : tensor<32xf32>103}104 105// CHECK-LABEL:   func @add_s(106// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32xf32, #sparse{{[0-9]*}}>,107// CHECK-SAME:      %[[VAL_1:.*]]: f32,108// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32xf32>) -> tensor<32xf32> {109// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index110// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index111// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant true112// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant 1 : index113// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>114// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>115// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>116// CHECK-DAG:       %[[VAL_12:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_4]]] : memref<?xindex>117// CHECK-DAG:       %[[VAL_13:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_6]]] : memref<?xindex>118// CHECK-DAG:       %[[VAL_11:.*]] = bufferization.to_buffer %[[VAL_2]]119// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_11]] : memref<32xf32>)120// CHECK:           %[[VAL_14:.*]]:2 = scf.while (%[[VAL_15:.*]] = %[[VAL_12]], %[[VAL_16:.*]] = %[[VAL_4]]) : (index, index) -> (index, index) {121// CHECK:             %[[VAL_17:.*]] = arith.cmpi ult, %[[VAL_15]], %[[VAL_13]] : index122// CHECK:             scf.condition(%[[VAL_17]]) %[[VAL_15]], %[[VAL_16]] : index, index123// CHECK:           } do {124// CHECK:           ^bb0(%[[VAL_18:.*]]: index, %[[VAL_19:.*]]: index):125// CHECK:             %[[VAL_20:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_18]]] : memref<?xindex>126// CHECK:             %[[VAL_21:.*]] = arith.cmpi eq, %[[VAL_20]], %[[VAL_19]] : index127// CHECK:             scf.if %[[VAL_21]] {128// CHECK:               %[[VAL_22:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_18]]] : memref<?xf32>129// CHECK:               %[[VAL_23:.*]] = arith.addf %[[VAL_22]], %[[VAL_1]] : f32130// CHECK:               memref.store %[[VAL_23]], %[[VAL_11]]{{\[}}%[[VAL_19]]] : memref<32xf32>131// CHECK:             } else {132// CHECK:               scf.if %[[VAL_5]] {133// CHECK:                 memref.store %[[VAL_1]], %[[VAL_11]]{{\[}}%[[VAL_19]]] : memref<32xf32>134// CHECK:               } else {135// CHECK:               }136// CHECK:             }137// CHECK:             %[[VAL_24:.*]] = arith.cmpi eq, %[[VAL_20]], %[[VAL_19]] : index138// CHECK:             %[[VAL_25:.*]] = arith.addi %[[VAL_18]], %[[VAL_6]] : index139// CHECK:             %[[VAL_26:.*]] = arith.select %[[VAL_24]], %[[VAL_25]], %[[VAL_18]] : index140// CHECK:             %[[VAL_27:.*]] = arith.addi %[[VAL_19]], %[[VAL_6]] : index141// CHECK:             scf.yield %[[VAL_26]], %[[VAL_27]] : index, index142// CHECK:           }143// CHECK:           scf.for %[[VAL_28:.*]] = %[[VAL_29:.*]]#1 to %[[VAL_3]] step %[[VAL_6]] {144// CHECK:             memref.store %[[VAL_1]], %[[VAL_11]]{{\[}}%[[VAL_28]]] : memref<32xf32>145// CHECK:           }146// CHECK:           %[[VAL_30:.*]] = bufferization.to_tensor %[[VAL_11]] : memref<32xf32>147// CHECK:           return %[[VAL_30]] : tensor<32xf32>148// CHECK:         }149func.func @add_s(%arga: tensor<32xf32, #SV>, %argb: f32, %argx: tensor<32xf32>) -> tensor<32xf32> {150  %0 = linalg.generic #trait1151     ins(%arga: tensor<32xf32, #SV>)152    outs(%argx: tensor<32xf32>) {153      ^bb(%a: f32, %x: f32):154        %0 = arith.addf %a, %argb : f32155        linalg.yield %0 : f32156  } -> tensor<32xf32>157  return %0 : tensor<32xf32>158}159 160// CHECK-LABEL:   func @repeated_add_s(161// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32xf32, #sparse{{[0-9]*}}>,162// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32xf32>) -> tensor<32xf32> {163// CHECK-DAG:       %[[VAL_2:.*]] = arith.constant 0 : index164// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 1 : index165// CHECK-DAG:       %[[VAL_4:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>166// CHECK-DAG:       %[[VAL_5:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>167// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>168// CHECK-DAG:       %[[VAL_8:.*]] = bufferization.to_buffer %[[VAL_1]]169// CHECK-DAG:       %[[VAL_9:.*]] = memref.load %[[VAL_4]]{{\[}}%[[VAL_2]]] : memref<?xindex>170// CHECK-DAG:       %[[VAL_10:.*]] = memref.load %[[VAL_4]]{{\[}}%[[VAL_3]]] : memref<?xindex>171// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_8]] : memref<32xf32>)172// CHECK:           scf.for %[[VAL_11:.*]] = %[[VAL_9]] to %[[VAL_10]] step %[[VAL_3]] {173// CHECK:             %[[VAL_12:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_11]]] : memref<?xindex>174// CHECK:             %[[VAL_13:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_11]]] : memref<?xf32>175// CHECK:             %[[VAL_14:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_11]]] : memref<?xf32>176// CHECK:             %[[VAL_15:.*]] = arith.addf %[[VAL_13]], %[[VAL_14]] : f32177// CHECK:             %[[VAL_16:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_11]]] : memref<?xf32>178// CHECK:             %[[VAL_17:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_11]]] : memref<?xf32>179// CHECK:             %[[VAL_18:.*]] = arith.addf %[[VAL_16]], %[[VAL_17]] : f32180// CHECK:             %[[VAL_19:.*]] = arith.addf %[[VAL_15]], %[[VAL_18]] : f32181// CHECK:             memref.store %[[VAL_19]], %[[VAL_8]]{{\[}}%[[VAL_12]]] : memref<32xf32>182// CHECK:           }183// CHECK:           %[[VAL_20:.*]] = bufferization.to_tensor %[[VAL_8]] : memref<32xf32>184// CHECK:           return %[[VAL_20]] : tensor<32xf32>185// CHECK:         }186func.func @repeated_add_s(%arga: tensor<32xf32, #SV>, %argx: tensor<32xf32>) -> tensor<32xf32> {187  %0 = linalg.generic #trait1188     ins(%arga: tensor<32xf32, #SV>)189    outs(%argx: tensor<32xf32>) {190      ^bb(%a: f32, %x: f32):191        %0 = arith.addf %a, %a : f32  // same tensor192        %1 = arith.addf %a, %a : f32  // should yield193        %2 = arith.addf %0, %1 : f32  // one guard194        linalg.yield %2 : f32195  } -> tensor<32xf32>196  return %0 : tensor<32xf32>197}198 199// CHECK-LABEL:   func @mul_s(200// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32xf32, #sparse{{[0-9]*}}>,201// CHECK-SAME:      %[[VAL_1:.*]]: f32,202// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32xf32>) -> tensor<32xf32> {203// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 0 : index204// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 1 : index205// CHECK-DAG:       %[[VAL_5:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>206// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>207// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>208// CHECK-DAG:       %[[VAL_9:.*]] = bufferization.to_buffer %[[VAL_2]]209// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_9]] : memref<32xf32>)210// CHECK-DAG:       %[[VAL_10:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_3]]] : memref<?xindex>211// CHECK-DAG:       %[[VAL_11:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_4]]] : memref<?xindex>212// CHECK:           scf.for %[[VAL_12:.*]] = %[[VAL_10]] to %[[VAL_11]] step %[[VAL_4]] {213// CHECK:             %[[VAL_13:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_12]]] : memref<?xindex>214// CHECK:             %[[VAL_14:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_12]]] : memref<?xf32>215// CHECK:             %[[VAL_15:.*]] = arith.mulf %[[VAL_14]], %[[VAL_1]] : f32216// CHECK:             memref.store %[[VAL_15]], %[[VAL_9]]{{\[}}%[[VAL_13]]] : memref<32xf32>217// CHECK:           }218// CHECK:           %[[VAL_16:.*]] = bufferization.to_tensor %[[VAL_9]] : memref<32xf32>219// CHECK:           return %[[VAL_16]] : tensor<32xf32>220// CHECK:         }221func.func @mul_s(%arga: tensor<32xf32, #SV>, %argb: f32, %argx: tensor<32xf32>) -> tensor<32xf32> {222  %0 = linalg.generic #trait1223     ins(%arga: tensor<32xf32, #SV>)224    outs(%argx: tensor<32xf32>) {225      ^bb(%a: f32, %x: f32):226        %0 = arith.mulf %a, %argb : f32227        linalg.yield %0 : f32228  } -> tensor<32xf32>229  return %0 : tensor<32xf32>230}231 232#trait2 = {233  indexing_maps = [234    affine_map<(i) -> (i)>,  // a235    affine_map<(i) -> (i)>,  // b236    affine_map<(i) -> (i)>   // x (out)237  ],238  iterator_types = ["parallel"],239  doc = "x(i) = a(i) OP b(i)"240}241 242// CHECK-LABEL:   func @add_dd(243// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32xf32, #sparse{{[0-9]*}}>,244// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32xf32>,245// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32xf32>) -> tensor<32xf32> {246// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index247// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index248// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 1 : index249// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>250// CHECK-DAG:       %[[VAL_7:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32xf32> to memref<32xf32>251// CHECK-DAG:       %[[VAL_9:.*]] = bufferization.to_buffer %[[VAL_2]]252// CHECK:           linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_9]] : memref<32xf32>)253// CHECK:           scf.for %[[VAL_10:.*]] = %[[VAL_4]] to %[[VAL_3]] step %[[VAL_5]] {254// CHECK:             %[[VAL_11:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_10]]] : memref<?xf32>255// CHECK:             %[[VAL_12:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_10]]] : memref<32xf32>256// CHECK:             %[[VAL_13:.*]] = arith.addf %[[VAL_11]], %[[VAL_12]] : f32257// CHECK:             memref.store %[[VAL_13]], %[[VAL_9]]{{\[}}%[[VAL_10]]] : memref<32xf32>258// CHECK:           }259// CHECK:           %[[VAL_14:.*]] = bufferization.to_tensor %[[VAL_9]] : memref<32xf32>260// CHECK:           return %[[VAL_14]] : tensor<32xf32>261// CHECK:         }262func.func @add_dd(%arga: tensor<32xf32, #DV>, %argb: tensor<32xf32>, %argx: tensor<32xf32>) -> tensor<32xf32> {263  %0 = linalg.generic #trait2264     ins(%arga, %argb: tensor<32xf32, #DV>, tensor<32xf32>)265    outs(%argx: tensor<32xf32>) {266      ^bb(%a: f32, %b: f32, %x: f32):267        %0 = arith.addf %a, %b : f32268        linalg.yield %0 : f32269  } -> tensor<32xf32>270  return %0 : tensor<32xf32>271}272 273// CHECK-LABEL:   func @mul_dd(274// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32xf32, #sparse{{[0-9]*}}>,275// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32xf32>,276// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32xf32>) -> tensor<32xf32> {277// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index278// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index279// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 1 : index280// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>281// CHECK-DAG:       %[[VAL_7:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32xf32> to memref<32xf32>282// CHECK-DAG:       %[[VAL_9:.*]] = bufferization.to_buffer %[[VAL_2]]283// CHECK:           linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_9]] : memref<32xf32>)284// CHECK:           scf.for %[[VAL_10:.*]] = %[[VAL_4]] to %[[VAL_3]] step %[[VAL_5]] {285// CHECK:             %[[VAL_11:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_10]]] : memref<?xf32>286// CHECK:             %[[VAL_12:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_10]]] : memref<32xf32>287// CHECK:             %[[VAL_13:.*]] = arith.mulf %[[VAL_11]], %[[VAL_12]] : f32288// CHECK:             memref.store %[[VAL_13]], %[[VAL_9]]{{\[}}%[[VAL_10]]] : memref<32xf32>289// CHECK:           }290// CHECK:           %[[VAL_14:.*]] = bufferization.to_tensor %[[VAL_9]] : memref<32xf32>291// CHECK:           return %[[VAL_14]] : tensor<32xf32>292// CHECK:         }293func.func @mul_dd(%arga: tensor<32xf32, #DV>, %argb: tensor<32xf32>, %argx: tensor<32xf32>) -> tensor<32xf32> {294  %0 = linalg.generic #trait2295     ins(%arga, %argb: tensor<32xf32, #DV>, tensor<32xf32>)296    outs(%argx: tensor<32xf32>) {297      ^bb(%a: f32, %b: f32, %x: f32):298        %0 = arith.mulf %a, %b : f32299        linalg.yield %0 : f32300  } -> tensor<32xf32>301  return %0 : tensor<32xf32>302}303 304// CHECK-LABEL:   func @add_ds(305// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32xf32>,306// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32xf32, #sparse{{[0-9]*}}>,307// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32xf32>) -> tensor<32xf32> {308// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index309// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index310// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant true311// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant 1 : index312// CHECK-DAG:       %[[VAL_7:.*]] = bufferization.to_buffer %[[VAL_0]] : tensor<32xf32> to memref<32xf32>313// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>314// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>315// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>316// CHECK-DAG:       %[[VAL_12:.*]] = bufferization.to_buffer %[[VAL_2]]317// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_12]] : memref<32xf32>)318// CHECK-DAG:       %[[VAL_13:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_4]]] : memref<?xindex>319// CHECK-DAG:       %[[VAL_14:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_6]]] : memref<?xindex>320// CHECK:           %[[VAL_15:.*]]:2 = scf.while (%[[VAL_16:.*]] = %[[VAL_13]], %[[VAL_17:.*]] = %[[VAL_4]]) : (index, index) -> (index, index) {321// CHECK:             %[[VAL_18:.*]] = arith.cmpi ult, %[[VAL_16]], %[[VAL_14]] : index322// CHECK:             scf.condition(%[[VAL_18]]) %[[VAL_16]], %[[VAL_17]] : index, index323// CHECK:           } do {324// CHECK:           ^bb0(%[[VAL_19:.*]]: index, %[[VAL_20:.*]]: index):325// CHECK:             %[[VAL_21:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_19]]] : memref<?xindex>326// CHECK:             %[[VAL_22:.*]] = arith.cmpi eq, %[[VAL_21]], %[[VAL_20]] : index327// CHECK:             scf.if %[[VAL_22]] {328// CHECK:               %[[VAL_23:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_20]]] : memref<32xf32>329// CHECK:               %[[VAL_24:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_19]]] : memref<?xf32>330// CHECK:               %[[VAL_25:.*]] = arith.addf %[[VAL_23]], %[[VAL_24]] : f32331// CHECK:               memref.store %[[VAL_25]], %[[VAL_12]]{{\[}}%[[VAL_20]]] : memref<32xf32>332// CHECK:             } else {333// CHECK:               scf.if %[[VAL_5]] {334// CHECK:                 %[[VAL_26:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_20]]] : memref<32xf32>335// CHECK:                 memref.store %[[VAL_26]], %[[VAL_12]]{{\[}}%[[VAL_20]]] : memref<32xf32>336// CHECK:               } else {337// CHECK:               }338// CHECK:             }339// CHECK:             %[[VAL_27:.*]] = arith.cmpi eq, %[[VAL_21]], %[[VAL_20]] : index340// CHECK:             %[[VAL_28:.*]] = arith.addi %[[VAL_19]], %[[VAL_6]] : index341// CHECK:             %[[VAL_29:.*]] = arith.select %[[VAL_27]], %[[VAL_28]], %[[VAL_19]] : index342// CHECK:             %[[VAL_30:.*]] = arith.addi %[[VAL_20]], %[[VAL_6]] : index343// CHECK:             scf.yield %[[VAL_29]], %[[VAL_30]] : index, index344// CHECK:           }345// CHECK:           scf.for %[[VAL_31:.*]] = %[[VAL_32:.*]]#1 to %[[VAL_3]] step %[[VAL_6]] {346// CHECK:             %[[VAL_33:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_31]]] : memref<32xf32>347// CHECK:             memref.store %[[VAL_33]], %[[VAL_12]]{{\[}}%[[VAL_31]]] : memref<32xf32>348// CHECK:           }349// CHECK:           %[[VAL_34:.*]] = bufferization.to_tensor %[[VAL_12]] : memref<32xf32>350// CHECK:           return %[[VAL_34]] : tensor<32xf32>351// CHECK:         }352func.func @add_ds(%arga: tensor<32xf32>, %argb: tensor<32xf32, #SV>, %argx: tensor<32xf32>) -> tensor<32xf32> {353  %0 = linalg.generic #trait2354     ins(%arga, %argb: tensor<32xf32>, tensor<32xf32, #SV>)355    outs(%argx: tensor<32xf32>) {356      ^bb(%a: f32, %b: f32, %x: f32):357        %0 = arith.addf %a, %b : f32358        linalg.yield %0 : f32359  } -> tensor<32xf32>360  return %0 : tensor<32xf32>361}362 363// CHECK-LABEL:   func @mul_ds(364// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32xf32>,365// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32xf32, #sparse{{[0-9]*}}>,366// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32xf32>) -> tensor<32xf32> {367// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 0 : index368// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 1 : index369// CHECK-DAG:       %[[VAL_5:.*]] = bufferization.to_buffer %[[VAL_0]] : tensor<32xf32> to memref<32xf32>370// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>371// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>372// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>373// CHECK-DAG:       %[[VAL_10:.*]] = bufferization.to_buffer %[[VAL_2]]374// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_10]] : memref<32xf32>)375// CHECK-DAG:       %[[VAL_11:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_3]]] : memref<?xindex>376// CHECK-DAG:       %[[VAL_12:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_4]]] : memref<?xindex>377// CHECK:           scf.for %[[VAL_13:.*]] = %[[VAL_11]] to %[[VAL_12]] step %[[VAL_4]] {378// CHECK:             %[[VAL_14:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_13]]] : memref<?xindex>379// CHECK:             %[[VAL_15:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_14]]] : memref<32xf32>380// CHECK:             %[[VAL_16:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_13]]] : memref<?xf32>381// CHECK:             %[[VAL_17:.*]] = arith.mulf %[[VAL_15]], %[[VAL_16]] : f32382// CHECK:             memref.store %[[VAL_17]], %[[VAL_10]]{{\[}}%[[VAL_14]]] : memref<32xf32>383// CHECK:           }384// CHECK:           %[[VAL_18:.*]] = bufferization.to_tensor %[[VAL_10]] : memref<32xf32>385// CHECK:           return %[[VAL_18]] : tensor<32xf32>386// CHECK:         }387func.func @mul_ds(%arga: tensor<32xf32>, %argb: tensor<32xf32, #SV>, %argx: tensor<32xf32>) -> tensor<32xf32> {388  %0 = linalg.generic #trait2389     ins(%arga, %argb: tensor<32xf32>, tensor<32xf32, #SV>)390    outs(%argx: tensor<32xf32>) {391      ^bb(%a: f32, %b: f32, %x: f32):392        %0 = arith.mulf %a, %b : f32393        linalg.yield %0 : f32394  } -> tensor<32xf32>395  return %0 : tensor<32xf32>396}397 398// CHECK-LABEL:   func @add_sd(399// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32xf32, #sparse{{[0-9]*}}>,400// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32xf32>,401// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32xf32>) -> tensor<32xf32> {402// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 32 : index403// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index404// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant true405// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant 1 : index406// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>407// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>408// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>409// CHECK-DAG:       %[[VAL_10:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32xf32> to memref<32xf32>410// CHECK-DAG:       %[[VAL_12:.*]] = bufferization.to_buffer %[[VAL_2]]411// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_12]] : memref<32xf32>)412// CHECK-DAG:       %[[VAL_13:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_4]]] : memref<?xindex>413// CHECK-DAG:       %[[VAL_14:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_6]]] : memref<?xindex>414// CHECK:           %[[VAL_15:.*]]:2 = scf.while (%[[VAL_16:.*]] = %[[VAL_13]], %[[VAL_17:.*]] = %[[VAL_4]]) : (index, index) -> (index, index) {415// CHECK:             %[[VAL_18:.*]] = arith.cmpi ult, %[[VAL_16]], %[[VAL_14]] : index416// CHECK:             scf.condition(%[[VAL_18]]) %[[VAL_16]], %[[VAL_17]] : index, index417// CHECK:           } do {418// CHECK:           ^bb0(%[[VAL_19:.*]]: index, %[[VAL_20:.*]]: index):419// CHECK:             %[[VAL_21:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_19]]] : memref<?xindex>420// CHECK:             %[[VAL_22:.*]] = arith.cmpi eq, %[[VAL_21]], %[[VAL_20]] : index421// CHECK:             scf.if %[[VAL_22]] {422// CHECK:               %[[VAL_23:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_19]]] : memref<?xf32>423// CHECK:               %[[VAL_24:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_20]]] : memref<32xf32>424// CHECK:               %[[VAL_25:.*]] = arith.addf %[[VAL_23]], %[[VAL_24]] : f32425// CHECK:               memref.store %[[VAL_25]], %[[VAL_12]]{{\[}}%[[VAL_20]]] : memref<32xf32>426// CHECK:             } else {427// CHECK:               scf.if %[[VAL_5]] {428// CHECK:                 %[[VAL_26:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_20]]] : memref<32xf32>429// CHECK:                 memref.store %[[VAL_26]], %[[VAL_12]]{{\[}}%[[VAL_20]]] : memref<32xf32>430// CHECK:               } else {431// CHECK:               }432// CHECK:             }433// CHECK:             %[[VAL_27:.*]] = arith.cmpi eq, %[[VAL_21]], %[[VAL_20]] : index434// CHECK:             %[[VAL_28:.*]] = arith.addi %[[VAL_19]], %[[VAL_6]] : index435// CHECK:             %[[VAL_29:.*]] = arith.select %[[VAL_27]], %[[VAL_28]], %[[VAL_19]] : index436// CHECK:             %[[VAL_30:.*]] = arith.addi %[[VAL_20]], %[[VAL_6]] : index437// CHECK:             scf.yield %[[VAL_29]], %[[VAL_30]] : index, index438// CHECK:           }439// CHECK:           scf.for %[[VAL_31:.*]] = %[[VAL_32:.*]]#1 to %[[VAL_3]] step %[[VAL_6]] {440// CHECK:             %[[VAL_33:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_31]]] : memref<32xf32>441// CHECK:             memref.store %[[VAL_33]], %[[VAL_12]]{{\[}}%[[VAL_31]]] : memref<32xf32>442// CHECK:           }443// CHECK:           %[[VAL_34:.*]] = bufferization.to_tensor %[[VAL_12]] : memref<32xf32>444// CHECK:           return %[[VAL_34]] : tensor<32xf32>445// CHECK:         }446func.func @add_sd(%arga: tensor<32xf32, #SV>, %argb: tensor<32xf32>, %argx: tensor<32xf32>) -> tensor<32xf32> {447  %0 = linalg.generic #trait2448     ins(%arga, %argb: tensor<32xf32, #SV>, tensor<32xf32>)449    outs(%argx: tensor<32xf32>) {450      ^bb(%a: f32, %b: f32, %x: f32):451        %0 = arith.addf %a, %b : f32452        linalg.yield %0 : f32453  } -> tensor<32xf32>454  return %0 : tensor<32xf32>455}456 457// CHECK-LABEL:   func @mul_sd(458// CHECK-SAME:      %[[VAL_0:.*]]: tensor<32xf32, #sparse{{[0-9]*}}>,459// CHECK-SAME:      %[[VAL_1:.*]]: tensor<32xf32>,460// CHECK-SAME:      %[[VAL_2:.*]]: tensor<32xf32>) -> tensor<32xf32> {461// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 0 : index462// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 1 : index463// CHECK-DAG:       %[[VAL_5:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>464// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>465// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>466// CHECK-DAG:       %[[VAL_8:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<32xf32> to memref<32xf32>467// CHECK-DAG:       %[[VAL_10:.*]] = bufferization.to_buffer %[[VAL_2]]468// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_10]] : memref<32xf32>)469// CHECK-DAG:       %[[VAL_11:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_3]]] : memref<?xindex>470// CHECK-DAG:       %[[VAL_12:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_4]]] : memref<?xindex>471// CHECK:           scf.for %[[VAL_13:.*]] = %[[VAL_11]] to %[[VAL_12]] step %[[VAL_4]] {472// CHECK:             %[[VAL_14:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_13]]] : memref<?xindex>473// CHECK:             %[[VAL_15:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_13]]] : memref<?xf32>474// CHECK:             %[[VAL_16:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_14]]] : memref<32xf32>475// CHECK:             %[[VAL_17:.*]] = arith.mulf %[[VAL_15]], %[[VAL_16]] : f32476// CHECK:             memref.store %[[VAL_17]], %[[VAL_10]]{{\[}}%[[VAL_14]]] : memref<32xf32>477// CHECK:           }478// CHECK:           %[[VAL_18:.*]] = bufferization.to_tensor %[[VAL_10]] : memref<32xf32>479// CHECK:           return %[[VAL_18]] : tensor<32xf32>480// CHECK:         }481func.func @mul_sd(%arga: tensor<32xf32, #SV>, %argb: tensor<32xf32>, %argx: tensor<32xf32>) -> tensor<32xf32> {482  %0 = linalg.generic #trait2483     ins(%arga, %argb: tensor<32xf32, #SV>, tensor<32xf32>)484    outs(%argx: tensor<32xf32>) {485      ^bb(%a: f32, %b: f32, %x: f32):486        %0 = arith.mulf %a, %b : f32487        linalg.yield %0 : f32488  } -> tensor<32xf32>489  return %0 : tensor<32xf32>490}491 492// CHECK-LABEL:   func @add_ss(493// CHECK-SAME:      %[[VAL_0:.*0]]: tensor<32xf32, #sparse{{[0-9]*}}>, %[[VAL_1:.*1]]: tensor<32xf32, #sparse{{[0-9]*}}>,494// CHECK-SAME:      %[[VAL_2:.*2]]: tensor<32xf32>) -> tensor<32xf32> {495// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 0 : index496// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 1 : index497// CHECK-DAG:       %[[VAL_5:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>498// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>499// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>500// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>501// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>502// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>503// CHECK-DAG:       %[[VAL_12:.*]] = bufferization.to_buffer %[[VAL_2]]504// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_12]] : memref<32xf32>)505// CHECK-DAG:       %[[VAL_13:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_3]]] : memref<?xindex>506// CHECK-DAG:       %[[VAL_14:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_4]]] : memref<?xindex>507// CHECK-DAG:       %[[VAL_15:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_3]]] : memref<?xindex>508// CHECK-DAG:       %[[VAL_16:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_4]]] : memref<?xindex>509// CHECK:           %[[VAL_17:.*]]:2 = scf.while (%[[VAL_18:.*]] = %[[VAL_13]], %[[VAL_19:.*]] = %[[VAL_15]]) : (index, index) -> (index, index) {510// CHECK:             %[[VAL_20:.*]] = arith.cmpi ult, %[[VAL_18]], %[[VAL_14]] : index511// CHECK:             %[[VAL_21:.*]] = arith.cmpi ult, %[[VAL_19]], %[[VAL_16]] : index512// CHECK:             %[[VAL_22:.*]] = arith.andi %[[VAL_20]], %[[VAL_21]] : i1513// CHECK:             scf.condition(%[[VAL_22]]) %[[VAL_18]], %[[VAL_19]] : index, index514// CHECK:           } do {515// CHECK:           ^bb0(%[[VAL_23:.*]]: index, %[[VAL_24:.*]]: index):516// CHECK:             %[[VAL_25:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_23]]] : memref<?xindex>517// CHECK:             %[[VAL_26:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_24]]] : memref<?xindex>518// CHECK:             %[[VAL_27:.*]] = arith.cmpi ult, %[[VAL_26]], %[[VAL_25]] : index519// CHECK:             %[[VAL_28:.*]] = arith.select %[[VAL_27]], %[[VAL_26]], %[[VAL_25]] : index520// CHECK:             %[[VAL_29:.*]] = arith.cmpi eq, %[[VAL_25]], %[[VAL_28]] : index521// CHECK:             %[[VAL_30:.*]] = arith.cmpi eq, %[[VAL_26]], %[[VAL_28]] : index522// CHECK:             %[[VAL_31:.*]] = arith.andi %[[VAL_29]], %[[VAL_30]] : i1523// CHECK:             scf.if %[[VAL_31]] {524// CHECK:               %[[VAL_32:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_23]]] : memref<?xf32>525// CHECK:               %[[VAL_33:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_24]]] : memref<?xf32>526// CHECK:               %[[VAL_34:.*]] = arith.addf %[[VAL_32]], %[[VAL_33]] : f32527// CHECK:               memref.store %[[VAL_34]], %[[VAL_12]]{{\[}}%[[VAL_28]]] : memref<32xf32>528// CHECK:             } else {529// CHECK:               %[[VAL_35:.*]] = arith.cmpi eq, %[[VAL_25]], %[[VAL_28]] : index530// CHECK:               scf.if %[[VAL_35]] {531// CHECK:                 %[[VAL_36:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_23]]] : memref<?xf32>532// CHECK:                 memref.store %[[VAL_36]], %[[VAL_12]]{{\[}}%[[VAL_28]]] : memref<32xf32>533// CHECK:               } else {534// CHECK:                 %[[VAL_37:.*]] = arith.cmpi eq, %[[VAL_26]], %[[VAL_28]] : index535// CHECK:                 scf.if %[[VAL_37]] {536// CHECK:                   %[[VAL_38:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_24]]] : memref<?xf32>537// CHECK:                   memref.store %[[VAL_38]], %[[VAL_12]]{{\[}}%[[VAL_28]]] : memref<32xf32>538// CHECK:                 } else {539// CHECK:                 }540// CHECK:               }541// CHECK:             }542// CHECK:             %[[VAL_39:.*]] = arith.cmpi eq, %[[VAL_25]], %[[VAL_28]] : index543// CHECK:             %[[VAL_40:.*]] = arith.addi %[[VAL_23]], %[[VAL_4]] : index544// CHECK:             %[[VAL_41:.*]] = arith.select %[[VAL_39]], %[[VAL_40]], %[[VAL_23]] : index545// CHECK:             %[[VAL_42:.*]] = arith.cmpi eq, %[[VAL_26]], %[[VAL_28]] : index546// CHECK:             %[[VAL_43:.*]] = arith.addi %[[VAL_24]], %[[VAL_4]] : index547// CHECK:             %[[VAL_44:.*]] = arith.select %[[VAL_42]], %[[VAL_43]], %[[VAL_24]] : index548// CHECK:             scf.yield %[[VAL_41]], %[[VAL_44]] : index, index549// CHECK:           }550// CHECK:           scf.for %[[VAL_45:.*]] = %[[VAL_46:.*]]#0 to %[[VAL_14]] step %[[VAL_4]] {551// CHECK:             %[[VAL_47:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_45]]] : memref<?xindex>552// CHECK:             %[[VAL_48:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_45]]] : memref<?xf32>553// CHECK:             memref.store %[[VAL_48]], %[[VAL_12]]{{\[}}%[[VAL_47]]] : memref<32xf32>554// CHECK:           }555// CHECK:           scf.for %[[VAL_49:.*]] = %[[VAL_50:.*]]#1 to %[[VAL_16]] step %[[VAL_4]] {556// CHECK:             %[[VAL_51:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_49]]] : memref<?xindex>557// CHECK:             %[[VAL_52:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_49]]] : memref<?xf32>558// CHECK:             memref.store %[[VAL_52]], %[[VAL_12]]{{\[}}%[[VAL_51]]] : memref<32xf32>559// CHECK:           }560// CHECK:           %[[VAL_53:.*]] = bufferization.to_tensor %[[VAL_12]] : memref<32xf32>561// CHECK:           return %[[VAL_53]] : tensor<32xf32>562// CHECK:         }563func.func @add_ss(%arga: tensor<32xf32, #SV>, %argb: tensor<32xf32, #SV>, %argx: tensor<32xf32>) -> tensor<32xf32> {564  %0 = linalg.generic #trait2565     ins(%arga, %argb: tensor<32xf32, #SV>, tensor<32xf32, #SV>)566    outs(%argx: tensor<32xf32>) {567      ^bb(%a: f32, %b: f32, %x: f32):568        %0 = arith.addf %a, %b : f32569        linalg.yield %0 : f32570  } -> tensor<32xf32>571  return %0 : tensor<32xf32>572}573 574// CHECK-LABEL:   func @mul_ss(575// CHECK-SAME:      %[[VAL_0:.*0]]: tensor<32xf32, #sparse{{[0-9]*}}>, %[[VAL_1:.*1]]: tensor<32xf32, #sparse{{[0-9]*}}>,576// CHECK-SAME:      %[[VAL_2:.*2]]: tensor<32xf32>) -> tensor<32xf32> {577// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 0 : index578// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 1 : index579// CHECK-DAG:       %[[VAL_5:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>580// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>581// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>582// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>583// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 0 : index} : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xindex>584// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<32xf32, #sparse{{[0-9]*}}> to memref<?xf32>585// CHECK-DAG:       %[[VAL_12:.*]] = bufferization.to_buffer %[[VAL_2]]586// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_12]] : memref<32xf32>)587// CHECK-DAG:       %[[VAL_13:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_3]]] : memref<?xindex>588// CHECK-DAG:       %[[VAL_14:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_4]]] : memref<?xindex>589// CHECK-DAG:       %[[VAL_15:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_3]]] : memref<?xindex>590// CHECK-DAG:       %[[VAL_16:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_4]]] : memref<?xindex>591// CHECK:           %[[VAL_17:.*]]:2 = scf.while (%[[VAL_18:.*]] = %[[VAL_13]], %[[VAL_19:.*]] = %[[VAL_15]]) : (index, index) -> (index, index) {592// CHECK:             %[[VAL_20:.*]] = arith.cmpi ult, %[[VAL_18]], %[[VAL_14]] : index593// CHECK:             %[[VAL_21:.*]] = arith.cmpi ult, %[[VAL_19]], %[[VAL_16]] : index594// CHECK:             %[[VAL_22:.*]] = arith.andi %[[VAL_20]], %[[VAL_21]] : i1595// CHECK:             scf.condition(%[[VAL_22]]) %[[VAL_18]], %[[VAL_19]] : index, index596// CHECK:           } do {597// CHECK:           ^bb0(%[[VAL_23:.*]]: index, %[[VAL_24:.*]]: index):598// CHECK:             %[[VAL_25:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_23]]] : memref<?xindex>599// CHECK:             %[[VAL_26:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_24]]] : memref<?xindex>600// CHECK:             %[[VAL_27:.*]] = arith.cmpi ult, %[[VAL_26]], %[[VAL_25]] : index601// CHECK:             %[[VAL_28:.*]] = arith.select %[[VAL_27]], %[[VAL_26]], %[[VAL_25]] : index602// CHECK:             %[[VAL_29:.*]] = arith.cmpi eq, %[[VAL_25]], %[[VAL_28]] : index603// CHECK:             %[[VAL_30:.*]] = arith.cmpi eq, %[[VAL_26]], %[[VAL_28]] : index604// CHECK:             %[[VAL_31:.*]] = arith.andi %[[VAL_29]], %[[VAL_30]] : i1605// CHECK:             scf.if %[[VAL_31]] {606// CHECK:               %[[VAL_32:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_23]]] : memref<?xf32>607// CHECK:               %[[VAL_33:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_24]]] : memref<?xf32>608// CHECK:               %[[VAL_34:.*]] = arith.mulf %[[VAL_32]], %[[VAL_33]] : f32609// CHECK:               memref.store %[[VAL_34]], %[[VAL_12]]{{\[}}%[[VAL_28]]] : memref<32xf32>610// CHECK:             } else {611// CHECK:             }612// CHECK:             %[[VAL_35:.*]] = arith.cmpi eq, %[[VAL_25]], %[[VAL_28]] : index613// CHECK:             %[[VAL_36:.*]] = arith.addi %[[VAL_23]], %[[VAL_4]] : index614// CHECK:             %[[VAL_37:.*]] = arith.select %[[VAL_35]], %[[VAL_36]], %[[VAL_23]] : index615// CHECK:             %[[VAL_38:.*]] = arith.cmpi eq, %[[VAL_26]], %[[VAL_28]] : index616// CHECK:             %[[VAL_39:.*]] = arith.addi %[[VAL_24]], %[[VAL_4]] : index617// CHECK:             %[[VAL_40:.*]] = arith.select %[[VAL_38]], %[[VAL_39]], %[[VAL_24]] : index618// CHECK:             scf.yield %[[VAL_37]], %[[VAL_40]] : index, index619// CHECK:           }620// CHECK:           %[[VAL_41:.*]] = bufferization.to_tensor %[[VAL_12]] : memref<32xf32>621// CHECK:           return %[[VAL_41]] : tensor<32xf32>622// CHECK:         }623func.func @mul_ss(%arga: tensor<32xf32, #SV>, %argb: tensor<32xf32, #SV>, %argx: tensor<32xf32>) -> tensor<32xf32> {624  %0 = linalg.generic #trait2625     ins(%arga, %argb: tensor<32xf32, #SV>, tensor<32xf32, #SV>)626    outs(%argx: tensor<32xf32>) {627      ^bb(%a: f32, %b: f32, %x: f32):628        %0 = arith.mulf %a, %b : f32629        linalg.yield %0 : f32630  } -> tensor<32xf32>631  return %0 : tensor<32xf32>632}633 634// CHECK-LABEL:   func @two_way_inv(635// CHECK-SAME:      %[[VAL_0:.*0]]: tensor<16xf32, #sparse{{[0-9]*}}>, %[[VAL_1:.*1]]: tensor<16xf32, #sparse{{[0-9]*}}>,636// CHECK-SAME:      %[[VAL_2:.*2]]: f32,637// CHECK-SAME:      %[[VAL_3:.*3]]: tensor<16xf32>) -> tensor<16xf32> {638// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index639// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 1 : index640// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>641// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>642// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xf32>643// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>644// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>645// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xf32>646// CHECK-DAG:       %[[VAL_13:.*]] = bufferization.to_buffer %[[VAL_3]]647// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_13]] : memref<16xf32>)648// CHECK-DAG:       %[[VAL_14:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_4]]] : memref<?xindex>649// CHECK-DAG:       %[[VAL_15:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_5]]] : memref<?xindex>650// CHECK-DAG:       %[[VAL_16:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_4]]] : memref<?xindex>651// CHECK-DAG:       %[[VAL_17:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_5]]] : memref<?xindex>652// CHECK:           %[[VAL_18:.*]]:2 = scf.while (%[[VAL_19:.*]] = %[[VAL_14]], %[[VAL_20:.*]] = %[[VAL_16]]) : (index, index) -> (index, index) {653// CHECK:             %[[VAL_21:.*]] = arith.cmpi ult, %[[VAL_19]], %[[VAL_15]] : index654// CHECK:             %[[VAL_22:.*]] = arith.cmpi ult, %[[VAL_20]], %[[VAL_17]] : index655// CHECK:             %[[VAL_23:.*]] = arith.andi %[[VAL_21]], %[[VAL_22]] : i1656// CHECK:             scf.condition(%[[VAL_23]]) %[[VAL_19]], %[[VAL_20]] : index, index657// CHECK:           } do {658// CHECK:           ^bb0(%[[VAL_24:.*]]: index, %[[VAL_25:.*]]: index):659// CHECK:             %[[VAL_26:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_24]]] : memref<?xindex>660// CHECK:             %[[VAL_27:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_25]]] : memref<?xindex>661// CHECK:             %[[VAL_28:.*]] = arith.cmpi ult, %[[VAL_27]], %[[VAL_26]] : index662// CHECK:             %[[VAL_29:.*]] = arith.select %[[VAL_28]], %[[VAL_27]], %[[VAL_26]] : index663// CHECK:             %[[VAL_30:.*]] = arith.cmpi eq, %[[VAL_26]], %[[VAL_29]] : index664// CHECK:             %[[VAL_31:.*]] = arith.cmpi eq, %[[VAL_27]], %[[VAL_29]] : index665// CHECK:             %[[VAL_32:.*]] = arith.andi %[[VAL_30]], %[[VAL_31]] : i1666// CHECK:             scf.if %[[VAL_32]] {667// CHECK:               %[[VAL_33:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_24]]] : memref<?xf32>668// CHECK:               %[[VAL_34:.*]] = arith.mulf %[[VAL_33]], %[[VAL_2]] : f32669// CHECK:               %[[VAL_35:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_25]]] : memref<?xf32>670// CHECK:               %[[VAL_36:.*]] = arith.mulf %[[VAL_35]], %[[VAL_2]] : f32671// CHECK:               %[[VAL_37:.*]] = arith.addf %[[VAL_34]], %[[VAL_36]] : f32672// CHECK:               memref.store %[[VAL_37]], %[[VAL_13]]{{\[}}%[[VAL_29]]] : memref<16xf32>673// CHECK:             } else {674// CHECK:               %[[VAL_38:.*]] = arith.cmpi eq, %[[VAL_26]], %[[VAL_29]] : index675// CHECK:               scf.if %[[VAL_38]] {676// CHECK:                 %[[VAL_39:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_24]]] : memref<?xf32>677// CHECK:                 %[[VAL_40:.*]] = arith.mulf %[[VAL_39]], %[[VAL_2]] : f32678// CHECK:                 memref.store %[[VAL_40]], %[[VAL_13]]{{\[}}%[[VAL_29]]] : memref<16xf32>679// CHECK:               } else {680// CHECK:                 %[[VAL_41:.*]] = arith.cmpi eq, %[[VAL_27]], %[[VAL_29]] : index681// CHECK:                 scf.if %[[VAL_41]] {682// CHECK:                   %[[VAL_42:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_25]]] : memref<?xf32>683// CHECK:                   %[[VAL_43:.*]] = arith.mulf %[[VAL_42]], %[[VAL_2]] : f32684// CHECK:                   memref.store %[[VAL_43]], %[[VAL_13]]{{\[}}%[[VAL_29]]] : memref<16xf32>685// CHECK:                 } else {686// CHECK:                 }687// CHECK:               }688// CHECK:             }689// CHECK:             %[[VAL_44:.*]] = arith.cmpi eq, %[[VAL_26]], %[[VAL_29]] : index690// CHECK:             %[[VAL_45:.*]] = arith.addi %[[VAL_24]], %[[VAL_5]] : index691// CHECK:             %[[VAL_46:.*]] = arith.select %[[VAL_44]], %[[VAL_45]], %[[VAL_24]] : index692// CHECK:             %[[VAL_47:.*]] = arith.cmpi eq, %[[VAL_27]], %[[VAL_29]] : index693// CHECK:             %[[VAL_48:.*]] = arith.addi %[[VAL_25]], %[[VAL_5]] : index694// CHECK:             %[[VAL_49:.*]] = arith.select %[[VAL_47]], %[[VAL_48]], %[[VAL_25]] : index695// CHECK:             scf.yield %[[VAL_46]], %[[VAL_49]] : index, index696// CHECK:           }697// CHECK:           scf.for %[[VAL_50:.*]] = %[[VAL_51:.*]]#0 to %[[VAL_15]] step %[[VAL_5]] {698// CHECK:             %[[VAL_52:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_50]]] : memref<?xindex>699// CHECK:             %[[VAL_53:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_50]]] : memref<?xf32>700// CHECK:             %[[VAL_54:.*]] = arith.mulf %[[VAL_53]], %[[VAL_2]] : f32701// CHECK:             memref.store %[[VAL_54]], %[[VAL_13]]{{\[}}%[[VAL_52]]] : memref<16xf32>702// CHECK:           }703// CHECK:           scf.for %[[VAL_55:.*]] = %[[VAL_56:.*]]#1 to %[[VAL_17]] step %[[VAL_5]] {704// CHECK:             %[[VAL_57:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_55]]] : memref<?xindex>705// CHECK:             %[[VAL_58:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_55]]] : memref<?xf32>706// CHECK:             %[[VAL_59:.*]] = arith.mulf %[[VAL_58]], %[[VAL_2]] : f32707// CHECK:             memref.store %[[VAL_59]], %[[VAL_13]]{{\[}}%[[VAL_57]]] : memref<16xf32>708// CHECK:           }709// CHECK:           %[[VAL_60:.*]] = bufferization.to_tensor %[[VAL_13]] : memref<16xf32>710// CHECK:           return %[[VAL_60]] : tensor<16xf32>711// CHECK:         }712func.func @two_way_inv(%arga: tensor<16xf32, #SV>, %argb: tensor<16xf32, #SV>, %argc: f32, %argx: tensor<16xf32>) -> tensor<16xf32> {713  // Kernel "x(i) = a(i) * c + b(i) * c".714  %0 = linalg.generic #trait2715    ins(%arga, %argb: tensor<16xf32, #SV>, tensor<16xf32, #SV>)716    outs(%argx: tensor<16xf32>) {717      ^bb(%a: f32, %b: f32, %x: f32):718        %0 = arith.mulf %a, %argc : f32719        %1 = arith.mulf %b, %argc : f32720        %2 = arith.addf %0, %1 : f32721        linalg.yield %2 : f32722  } -> tensor<16xf32>723  return %0 : tensor<16xf32>724}725 726// CHECK-LABEL:   func @two_way_inv_alt(727// CHECK-SAME:      %[[VAL_0:.*0]]: tensor<16xf32, #sparse{{[0-9]*}}>, %[[VAL_1:.*1]]: tensor<16xf32, #sparse{{[0-9]*}}>,728// CHECK-SAME:      %[[VAL_2:.*2]]: f32,729// CHECK-SAME:      %[[VAL_3:.*3]]: tensor<16xf32>) -> tensor<16xf32> {730// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index731// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 1 : index732// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>733// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>734// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xf32>735// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>736// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>737// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xf32>738// CHECK-DAG:       %[[VAL_13:.*]] = bufferization.to_buffer %[[VAL_3]]739// CHECK-DAG:       linalg.fill ins(%{{.*}} : f32) outs(%[[VAL_13]] : memref<16xf32>)740// CHECK-DAG:       %[[VAL_14:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_4]]] : memref<?xindex>741// CHECK-DAG:       %[[VAL_15:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_5]]] : memref<?xindex>742// CHECK-DAG:       %[[VAL_16:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_4]]] : memref<?xindex>743// CHECK-DAG:       %[[VAL_17:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_5]]] : memref<?xindex>744// CHECK:           %[[VAL_18:.*]]:2 = scf.while (%[[VAL_19:.*]] = %[[VAL_14]], %[[VAL_20:.*]] = %[[VAL_16]]) : (index, index) -> (index, index) {745// CHECK:             %[[VAL_21:.*]] = arith.cmpi ult, %[[VAL_19]], %[[VAL_15]] : index746// CHECK:             %[[VAL_22:.*]] = arith.cmpi ult, %[[VAL_20]], %[[VAL_17]] : index747// CHECK:             %[[VAL_23:.*]] = arith.andi %[[VAL_21]], %[[VAL_22]] : i1748// CHECK:             scf.condition(%[[VAL_23]]) %[[VAL_19]], %[[VAL_20]] : index, index749// CHECK:           } do {750// CHECK:           ^bb0(%[[VAL_24:.*]]: index, %[[VAL_25:.*]]: index):751// CHECK:             %[[VAL_26:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_24]]] : memref<?xindex>752// CHECK:             %[[VAL_27:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_25]]] : memref<?xindex>753// CHECK:             %[[VAL_28:.*]] = arith.cmpi ult, %[[VAL_27]], %[[VAL_26]] : index754// CHECK:             %[[VAL_29:.*]] = arith.select %[[VAL_28]], %[[VAL_27]], %[[VAL_26]] : index755// CHECK:             %[[VAL_30:.*]] = arith.cmpi eq, %[[VAL_26]], %[[VAL_29]] : index756// CHECK:             %[[VAL_31:.*]] = arith.cmpi eq, %[[VAL_27]], %[[VAL_29]] : index757// CHECK:             %[[VAL_32:.*]] = arith.andi %[[VAL_30]], %[[VAL_31]] : i1758// CHECK:             scf.if %[[VAL_32]] {759// CHECK:               %[[VAL_33:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_24]]] : memref<?xf32>760// CHECK:               %[[VAL_34:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_25]]] : memref<?xf32>761// CHECK:               %[[VAL_35:.*]] = arith.addf %[[VAL_33]], %[[VAL_34]] : f32762// CHECK:               %[[VAL_36:.*]] = arith.mulf %[[VAL_35]], %[[VAL_2]] : f32763// CHECK:               memref.store %[[VAL_36]], %[[VAL_13]]{{\[}}%[[VAL_29]]] : memref<16xf32>764// CHECK:             } else {765// CHECK:               %[[VAL_37:.*]] = arith.cmpi eq, %[[VAL_26]], %[[VAL_29]] : index766// CHECK:               scf.if %[[VAL_37]] {767// CHECK:                 %[[VAL_38:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_24]]] : memref<?xf32>768// CHECK:                 %[[VAL_39:.*]] = arith.mulf %[[VAL_38]], %[[VAL_2]] : f32769// CHECK:                 memref.store %[[VAL_39]], %[[VAL_13]]{{\[}}%[[VAL_29]]] : memref<16xf32>770// CHECK:               } else {771// CHECK:                 %[[VAL_40:.*]] = arith.cmpi eq, %[[VAL_27]], %[[VAL_29]] : index772// CHECK:                 scf.if %[[VAL_40]] {773// CHECK:                   %[[VAL_41:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_25]]] : memref<?xf32>774// CHECK:                   %[[VAL_42:.*]] = arith.mulf %[[VAL_41]], %[[VAL_2]] : f32775// CHECK:                   memref.store %[[VAL_42]], %[[VAL_13]]{{\[}}%[[VAL_29]]] : memref<16xf32>776// CHECK:                 } else {777// CHECK:                 }778// CHECK:               }779// CHECK:             }780// CHECK:             %[[VAL_43:.*]] = arith.cmpi eq, %[[VAL_26]], %[[VAL_29]] : index781// CHECK:             %[[VAL_44:.*]] = arith.addi %[[VAL_24]], %[[VAL_5]] : index782// CHECK:             %[[VAL_45:.*]] = arith.select %[[VAL_43]], %[[VAL_44]], %[[VAL_24]] : index783// CHECK:             %[[VAL_46:.*]] = arith.cmpi eq, %[[VAL_27]], %[[VAL_29]] : index784// CHECK:             %[[VAL_47:.*]] = arith.addi %[[VAL_25]], %[[VAL_5]] : index785// CHECK:             %[[VAL_48:.*]] = arith.select %[[VAL_46]], %[[VAL_47]], %[[VAL_25]] : index786// CHECK:             scf.yield %[[VAL_45]], %[[VAL_48]] : index, index787// CHECK:           }788// CHECK:           scf.for %[[VAL_49:.*]] = %[[VAL_50:.*]]#0 to %[[VAL_15]] step %[[VAL_5]] {789// CHECK:             %[[VAL_51:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_49]]] : memref<?xindex>790// CHECK:             %[[VAL_52:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_49]]] : memref<?xf32>791// CHECK:             %[[VAL_53:.*]] = arith.mulf %[[VAL_52]], %[[VAL_2]] : f32792// CHECK:             memref.store %[[VAL_53]], %[[VAL_13]]{{\[}}%[[VAL_51]]] : memref<16xf32>793// CHECK:           }794// CHECK:           scf.for %[[VAL_54:.*]] = %[[VAL_55:.*]]#1 to %[[VAL_17]] step %[[VAL_5]] {795// CHECK:             %[[VAL_56:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_54]]] : memref<?xindex>796// CHECK:             %[[VAL_57:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_54]]] : memref<?xf32>797// CHECK:             %[[VAL_58:.*]] = arith.mulf %[[VAL_57]], %[[VAL_2]] : f32798// CHECK:             memref.store %[[VAL_58]], %[[VAL_13]]{{\[}}%[[VAL_56]]] : memref<16xf32>799// CHECK:           }800// CHECK:           %[[VAL_59:.*]] = bufferization.to_tensor %[[VAL_13]] : memref<16xf32>801// CHECK:           return %[[VAL_59]] : tensor<16xf32>802// CHECK:         }803func.func @two_way_inv_alt(%arga: tensor<16xf32, #SV>,804                      %argb: tensor<16xf32, #SV>, %argc: f32, %argx: tensor<16xf32>) -> tensor<16xf32> {805  // Same kernel, but now expressed as "x(i) = (a(i) + b(i)) * c".806  %0 = linalg.generic #trait2807    ins(%arga, %argb: tensor<16xf32, #SV>, tensor<16xf32, #SV>)808    outs(%argx: tensor<16xf32>) {809      ^bb(%a: f32, %b: f32, %x: f32):810        %0 = arith.addf %a, %b : f32811        %1 = arith.mulf %0, %argc : f32812        linalg.yield %1 : f32813  } -> tensor<16xf32>814  return %0 : tensor<16xf32>815}816 817#trait_sum_reduction = {818  indexing_maps = [819    affine_map<(i) -> (i)>,  // a820    affine_map<(i) -> ()>    // x (scalar out)821  ],822  iterator_types = ["reduction"],823  doc = "x += SUM_i a(i)"824}825 826// CHECK-LABEL:   func @sum_reduction(827// CHECK-SAME:      %[[VAL_0:.*]]: tensor<?xf32, #sparse{{[0-9]*}}>,828// CHECK-SAME:      %[[VAL_1:.*]]: tensor<f32>) -> tensor<f32> {829// CHECK-DAG:       %[[VAL_2:.*]] = arith.constant 0 : index830// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 1 : index831// CHECK-DAG:       %[[VAL_4:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<?xf32, #sparse{{[0-9]*}}> to memref<?xindex>832// CHECK-DAG:       %[[VAL_5:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<?xf32, #sparse{{[0-9]*}}> to memref<?xf32>833// CHECK-DAG:       %[[VAL_6:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<f32> to memref<f32>834// CHECK-DAG:       %[[VAL_8:.*]] = memref.load %[[VAL_4]]{{\[}}%[[VAL_2]]] : memref<?xindex>835// CHECK-DAG:       %[[VAL_9:.*]] = memref.load %[[VAL_4]]{{\[}}%[[VAL_3]]] : memref<?xindex>836// CHECK-DAG:       %[[VAL_10:.*]] = memref.load %[[VAL_6]][] : memref<f32>837// CHECK:           %[[VAL_11:.*]] = scf.for %[[VAL_12:.*]] = %[[VAL_8]] to %[[VAL_9]] step %[[VAL_3]] iter_args(%[[VAL_13:.*]] = %[[VAL_10]]) -> (f32) {838// CHECK:             %[[VAL_14:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_12]]] : memref<?xf32>839// CHECK:             %[[VAL_15:.*]] = arith.addf %[[VAL_13]], %[[VAL_14]] : f32840// CHECK:             scf.yield %[[VAL_15]] : f32841// CHECK:           }842// CHECK:           memref.store %[[VAL_11]], %[[VAL_6]][] : memref<f32>843// CHECK:           %[[VAL_17:.*]] = bufferization.to_tensor %[[VAL_6]] : memref<f32>844// CHECK:           return %[[VAL_17]] : tensor<f32>845// CHECK:         }846func.func @sum_reduction(%arga: tensor<?xf32, #SV>, %argx: tensor<f32>) -> tensor<f32> {847  %0 = linalg.generic #trait_sum_reduction848    ins(%arga: tensor<?xf32, #SV>)849    outs(%argx: tensor<f32>) {850      ^bb(%a: f32, %x: f32):851        %0 = arith.addf %x, %a : f32852        linalg.yield %0 : f32853  } -> tensor<f32>854  return %0 : tensor<f32>855}856 857#trait_sum_reduction2 = {858  indexing_maps = [859    affine_map<(i) -> (i)>, // a860    affine_map<(i) -> (i)>, // b861    affine_map<(i)-> ()>    // x (scalar out)862  ],863  iterator_types = ["reduction"],864  doc = "x += SUM_i a(i) + b(i)"865}866 867// CHECK-LABEL:   func @sum_reduction_ss(868// CHECK-SAME:      %[[VAL_0:.*0]]: tensor<16xf32, #sparse{{[0-9]*}}>, %[[VAL_1:.*1]]: tensor<16xf32, #sparse{{[0-9]*}}>,869// CHECK-SAME:      %[[VAL_2:.*2]]: tensor<f32>) -> tensor<f32> {870// CHECK-DAG:       %[[VAL_3:.*]] = arith.constant 0 : index871// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 1 : index872// CHECK-DAG:       %[[VAL_5:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>873// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>874// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xf32>875// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>876// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>877// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xf32>878// CHECK-DAG:       %[[VAL_11:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<f32> to memref<f32>879// CHECK-DAG:           %[[VAL_13:.*]] = memref.load %[[VAL_11]][] : memref<f32>880// CHECK-DAG:           %[[VAL_14:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_3]]] : memref<?xindex>881// CHECK-DAG:           %[[VAL_15:.*]] = memref.load %[[VAL_5]]{{\[}}%[[VAL_4]]] : memref<?xindex>882// CHECK-DAG:           %[[VAL_16:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_3]]] : memref<?xindex>883// CHECK-DAG:           %[[VAL_17:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_4]]] : memref<?xindex>884// CHECK:           %[[VAL_18:.*]]:3 = scf.while (%[[VAL_19:.*]] = %[[VAL_14]], %[[VAL_20:.*]] = %[[VAL_16]], %[[VAL_21:.*]] = %[[VAL_13]]) : (index, index, f32) -> (index, index, f32) {885// CHECK:             %[[VAL_22:.*]] = arith.cmpi ult, %[[VAL_19]], %[[VAL_15]] : index886// CHECK:             %[[VAL_23:.*]] = arith.cmpi ult, %[[VAL_20]], %[[VAL_17]] : index887// CHECK:             %[[VAL_24:.*]] = arith.andi %[[VAL_22]], %[[VAL_23]] : i1888// CHECK:             scf.condition(%[[VAL_24]]) %[[VAL_19]], %[[VAL_20]], %[[VAL_21]] : index, index, f32889// CHECK:           } do {890// CHECK:           ^bb0(%[[VAL_25:.*]]: index, %[[VAL_26:.*]]: index, %[[VAL_27:.*]]: f32):891// CHECK:             %[[VAL_28:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_25]]] : memref<?xindex>892// CHECK:             %[[VAL_29:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_26]]] : memref<?xindex>893// CHECK:             %[[VAL_30:.*]] = arith.cmpi ult, %[[VAL_29]], %[[VAL_28]] : index894// CHECK:             %[[VAL_31:.*]] = arith.select %[[VAL_30]], %[[VAL_29]], %[[VAL_28]] : index895// CHECK:             %[[VAL_32:.*]] = arith.cmpi eq, %[[VAL_28]], %[[VAL_31]] : index896// CHECK:             %[[VAL_33:.*]] = arith.cmpi eq, %[[VAL_29]], %[[VAL_31]] : index897// CHECK:             %[[VAL_34:.*]] = arith.andi %[[VAL_32]], %[[VAL_33]] : i1898// CHECK:             %[[VAL_35:.*]] = scf.if %[[VAL_34]] -> (f32) {899// CHECK:               %[[VAL_36:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_25]]] : memref<?xf32>900// CHECK:               %[[VAL_37:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_26]]] : memref<?xf32>901// CHECK:               %[[VAL_38:.*]] = arith.addf %[[VAL_36]], %[[VAL_37]] : f32902// CHECK:               %[[VAL_39:.*]] = arith.addf %[[VAL_27]], %[[VAL_38]] : f32903// CHECK:               scf.yield %[[VAL_39]] : f32904// CHECK:             } else {905// CHECK:               %[[VAL_40:.*]] = arith.cmpi eq, %[[VAL_28]], %[[VAL_31]] : index906// CHECK:               %[[VAL_41:.*]] = scf.if %[[VAL_40]] -> (f32) {907// CHECK:                 %[[VAL_42:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_25]]] : memref<?xf32>908// CHECK:                 %[[VAL_43:.*]] = arith.addf %[[VAL_27]], %[[VAL_42]] : f32909// CHECK:                 scf.yield %[[VAL_43]] : f32910// CHECK:               } else {911// CHECK:                 %[[VAL_44:.*]] = arith.cmpi eq, %[[VAL_29]], %[[VAL_31]] : index912// CHECK:                 %[[VAL_45:.*]] = scf.if %[[VAL_44]] -> (f32) {913// CHECK:                   %[[VAL_46:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_26]]] : memref<?xf32>914// CHECK:                   %[[VAL_47:.*]] = arith.addf %[[VAL_27]], %[[VAL_46]] : f32915// CHECK:                   scf.yield %[[VAL_47]] : f32916// CHECK:                 } else {917// CHECK:                   scf.yield %[[VAL_27]] : f32918// CHECK:                 }919// CHECK:                 scf.yield %[[VAL_48:.*]] : f32920// CHECK:               }921// CHECK:               scf.yield %[[VAL_49:.*]] : f32922// CHECK:             }923// CHECK:             %[[VAL_50:.*]] = arith.cmpi eq, %[[VAL_28]], %[[VAL_31]] : index924// CHECK:             %[[VAL_51:.*]] = arith.addi %[[VAL_25]], %[[VAL_4]] : index925// CHECK:             %[[VAL_52:.*]] = arith.select %[[VAL_50]], %[[VAL_51]], %[[VAL_25]] : index926// CHECK:             %[[VAL_53:.*]] = arith.cmpi eq, %[[VAL_29]], %[[VAL_31]] : index927// CHECK:             %[[VAL_54:.*]] = arith.addi %[[VAL_26]], %[[VAL_4]] : index928// CHECK:             %[[VAL_55:.*]] = arith.select %[[VAL_53]], %[[VAL_54]], %[[VAL_26]] : index929// CHECK:             scf.yield %[[VAL_52]], %[[VAL_55]], %[[VAL_56:.*]] : index, index, f32930// CHECK:           }931// CHECK:           %[[VAL_57:.*]] = scf.for %[[VAL_58:.*]] = %[[VAL_59:.*]]#0 to %[[VAL_15]] step %[[VAL_4]] iter_args(%[[VAL_60:.*]] = %[[VAL_59]]#2) -> (f32) {932// CHECK:             %[[VAL_61:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_58]]] : memref<?xf32>933// CHECK:             %[[VAL_62:.*]] = arith.addf %[[VAL_60]], %[[VAL_61]] : f32934// CHECK:             scf.yield %[[VAL_62]] : f32935// CHECK:           }936// CHECK:           %[[VAL_63:.*]] = scf.for %[[VAL_64:.*]] = %[[VAL_65:.*]]#1 to %[[VAL_17]] step %[[VAL_4]] iter_args(%[[VAL_66:.*]] = %[[VAL_67:.*]]) -> (f32) {937// CHECK:             %[[VAL_68:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_64]]] : memref<?xf32>938// CHECK:             %[[VAL_69:.*]] = arith.addf %[[VAL_66]], %[[VAL_68]] : f32939// CHECK:             scf.yield %[[VAL_69]] : f32940// CHECK:           }941// CHECK:           memref.store %[[VAL_70:.*]], %[[VAL_11]][] : memref<f32>942// CHECK:           %[[VAL_71:.*]] = bufferization.to_tensor %[[VAL_11]] : memref<f32>943// CHECK:           return %[[VAL_71]] : tensor<f32>944// CHECK:         }945func.func @sum_reduction_ss(%arga: tensor<16xf32, #SV>,946                       %argb: tensor<16xf32, #SV>,947                       %argx: tensor<f32>) -> tensor<f32> {948  // Just for testing. This case would be better expressed949  // as two separate reductions kernels.950  %0 = linalg.generic #trait_sum_reduction2951    ins(%arga, %argb: tensor<16xf32, #SV>, tensor<16xf32, #SV>)952    outs(%argx: tensor<f32>) {953      ^bb(%a: f32, %b: f32, %x: f32):954        %0 = arith.addf %a, %b : f32955        %1 = arith.addf %x, %0 : f32956        linalg.yield %1 : f32957  } -> tensor<f32>958  return %0 : tensor<f32>959}960 961#trait_sum_reduction_inv = {962  indexing_maps = [963    affine_map<(i) -> (i)>, // a964    affine_map<(i) -> ()>,  // b965    affine_map<(i) -> (i)>, // c966    affine_map<(i) -> ()>   // x (out)967  ],968  iterator_types = ["reduction"],969  doc = "x += SUM_i a(i) * b + c(i)"970}971 972// CHECK-LABEL:   func @sum_reduction_inv(973// CHECK-SAME:      %[[VAL_0:.*0]]: tensor<16xf32, #sparse{{[0-9]*}}>, %[[VAL_1:.*1]]: tensor<f32>, %[[VAL_2:.*2]]: tensor<16xf32, #sparse{{[0-9]*}}>,974// CHECK-SAME:      %[[VAL_3:.*3]]: tensor<f32>) -> tensor<f32> {975// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index976// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 1 : index977// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>978// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>979// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xf32>980// CHECK-DAG:       %[[VAL_9:.*]] = bufferization.to_buffer %[[VAL_1]] : tensor<f32> to memref<f32>981// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.positions %[[VAL_2]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>982// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.coordinates %[[VAL_2]] {level = 0 : index} : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xindex>983// CHECK-DAG:       %[[VAL_12:.*]] = sparse_tensor.values %[[VAL_2]] : tensor<16xf32, #sparse{{[0-9]*}}> to memref<?xf32>984// CHECK-DAG:       %[[VAL_13:.*]] = bufferization.to_buffer %[[VAL_3]] : tensor<f32> to memref<f32>985// CHECK-DAG:       %[[VAL_15:.*]] = memref.load %[[VAL_13]][] : memref<f32>986// CHECK-DAG:       %[[VAL_16:.*]] = memref.load %[[VAL_9]][] : memref<f32>987// CHECK-DAG:       %[[VAL_17:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_4]]] : memref<?xindex>988// CHECK-DAG:       %[[VAL_18:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_5]]] : memref<?xindex>989// CHECK-DAG:       %[[VAL_19:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_4]]] : memref<?xindex>990// CHECK-DAG:       %[[VAL_20:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_5]]] : memref<?xindex>991// CHECK:           %[[VAL_21:.*]]:3 = scf.while (%[[VAL_22:.*]] = %[[VAL_17]], %[[VAL_23:.*]] = %[[VAL_19]], %[[VAL_24:.*]] = %[[VAL_15]]) : (index, index, f32) -> (index, index, f32) {992// CHECK:             %[[VAL_25:.*]] = arith.cmpi ult, %[[VAL_22]], %[[VAL_18]] : index993// CHECK:             %[[VAL_26:.*]] = arith.cmpi ult, %[[VAL_23]], %[[VAL_20]] : index994// CHECK:             %[[VAL_27:.*]] = arith.andi %[[VAL_25]], %[[VAL_26]] : i1995// CHECK:             scf.condition(%[[VAL_27]]) %[[VAL_22]], %[[VAL_23]], %[[VAL_24]] : index, index, f32996// CHECK:           } do {997// CHECK:           ^bb0(%[[VAL_28:.*]]: index, %[[VAL_29:.*]]: index, %[[VAL_30:.*]]: f32):998// CHECK:             %[[VAL_31:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_28]]] : memref<?xindex>999// CHECK:             %[[VAL_32:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_29]]] : memref<?xindex>1000// CHECK:             %[[VAL_33:.*]] = arith.cmpi ult, %[[VAL_32]], %[[VAL_31]] : index1001// CHECK:             %[[VAL_34:.*]] = arith.select %[[VAL_33]], %[[VAL_32]], %[[VAL_31]] : index1002// CHECK:             %[[VAL_35:.*]] = arith.cmpi eq, %[[VAL_31]], %[[VAL_34]] : index1003// CHECK:             %[[VAL_36:.*]] = arith.cmpi eq, %[[VAL_32]], %[[VAL_34]] : index1004// CHECK:             %[[VAL_37:.*]] = arith.andi %[[VAL_35]], %[[VAL_36]] : i11005// CHECK:             %[[VAL_38:.*]] = scf.if %[[VAL_37]] -> (f32) {1006// CHECK:               %[[VAL_39:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_28]]] : memref<?xf32>1007// CHECK:               %[[VAL_40:.*]] = arith.mulf %[[VAL_39]], %[[VAL_16]] : f321008// CHECK:               %[[VAL_41:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_29]]] : memref<?xf32>1009// CHECK:               %[[VAL_42:.*]] = arith.addf %[[VAL_40]], %[[VAL_41]] : f321010// CHECK:               %[[VAL_43:.*]] = arith.addf %[[VAL_30]], %[[VAL_42]] : f321011// CHECK:               scf.yield %[[VAL_43]] : f321012// CHECK:             } else {1013// CHECK:               %[[VAL_44:.*]] = arith.cmpi eq, %[[VAL_31]], %[[VAL_34]] : index1014// CHECK:               %[[VAL_45:.*]] = scf.if %[[VAL_44]] -> (f32) {1015// CHECK:                 %[[VAL_46:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_28]]] : memref<?xf32>1016// CHECK:                 %[[VAL_47:.*]] = arith.mulf %[[VAL_46]], %[[VAL_16]] : f321017// CHECK:                 %[[VAL_48:.*]] = arith.addf %[[VAL_30]], %[[VAL_47]] : f321018// CHECK:                 scf.yield %[[VAL_48]] : f321019// CHECK:               } else {1020// CHECK:                 %[[VAL_49:.*]] = arith.cmpi eq, %[[VAL_32]], %[[VAL_34]] : index1021// CHECK:                 %[[VAL_50:.*]] = scf.if %[[VAL_49]] -> (f32) {1022// CHECK:                   %[[VAL_51:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_29]]] : memref<?xf32>1023// CHECK:                   %[[VAL_52:.*]] = arith.addf %[[VAL_30]], %[[VAL_51]] : f321024// CHECK:                   scf.yield %[[VAL_52]] : f321025// CHECK:                 } else {1026// CHECK:                   scf.yield %[[VAL_30]] : f321027// CHECK:                 }1028// CHECK:                 scf.yield %[[VAL_53:.*]] : f321029// CHECK:               }1030// CHECK:               scf.yield %[[VAL_54:.*]] : f321031// CHECK:             }1032// CHECK:             %[[VAL_55:.*]] = arith.cmpi eq, %[[VAL_31]], %[[VAL_34]] : index1033// CHECK:             %[[VAL_56:.*]] = arith.addi %[[VAL_28]], %[[VAL_5]] : index1034// CHECK:             %[[VAL_57:.*]] = arith.select %[[VAL_55]], %[[VAL_56]], %[[VAL_28]] : index1035// CHECK:             %[[VAL_58:.*]] = arith.cmpi eq, %[[VAL_32]], %[[VAL_34]] : index1036// CHECK:             %[[VAL_59:.*]] = arith.addi %[[VAL_29]], %[[VAL_5]] : index1037// CHECK:             %[[VAL_60:.*]] = arith.select %[[VAL_58]], %[[VAL_59]], %[[VAL_29]] : index1038// CHECK:             scf.yield %[[VAL_57]], %[[VAL_60]], %[[VAL_61:.*]] : index, index, f321039// CHECK:           }1040// CHECK:           %[[VAL_62:.*]] = scf.for %[[VAL_63:.*]] = %[[VAL_64:.*]]#0 to %[[VAL_18]] step %[[VAL_5]] iter_args(%[[VAL_65:.*]] = %[[VAL_64]]#2) -> (f32) {1041// CHECK:             %[[VAL_66:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_63]]] : memref<?xf32>1042// CHECK:             %[[VAL_67:.*]] = arith.mulf %[[VAL_66]], %[[VAL_16]] : f321043// CHECK:             %[[VAL_68:.*]] = arith.addf %[[VAL_65]], %[[VAL_67]] : f321044// CHECK:             scf.yield %[[VAL_68]] : f321045// CHECK:           }1046// CHECK:           %[[VAL_69:.*]] = scf.for %[[VAL_70:.*]] = %[[VAL_71:.*]]#1 to %[[VAL_20]] step %[[VAL_5]] iter_args(%[[VAL_72:.*]] = %[[VAL_73:.*]]) -> (f32) {1047// CHECK:             %[[VAL_74:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_70]]] : memref<?xf32>1048// CHECK:             %[[VAL_75:.*]] = arith.addf %[[VAL_72]], %[[VAL_74]] : f321049// CHECK:             scf.yield %[[VAL_75]] : f321050// CHECK:           }1051// CHECK:           memref.store %[[VAL_76:.*]], %[[VAL_13]][] : memref<f32>1052// CHECK:           %[[VAL_77:.*]] = bufferization.to_tensor %[[VAL_13]] : memref<f32>1053// CHECK:           return %[[VAL_77]] : tensor<f32>1054// CHECK:         }1055func.func @sum_reduction_inv(%arga: tensor<16xf32, #SV>,1056                        %argb: tensor<f32>,1057                        %argc: tensor<16xf32, #SV>,1058                        %argx: tensor<f32>) -> tensor<f32> {1059  // Just for testing. This case would be better expressed1060  // as two separate reductions kernels.1061  %0 = linalg.generic #trait_sum_reduction_inv1062    ins(%arga, %argb, %argc : tensor<16xf32, #SV>, tensor<f32>, tensor<16xf32, #SV>)1063    outs(%argx: tensor<f32>) {1064      ^bb(%a: f32, %b: f32, %c: f32, %x: f32):1065        %0 = arith.mulf %a, %b : f321066        %1 = arith.addf %0, %c : f321067        %2 = arith.addf %x, %1 : f321068        linalg.yield %2 : f321069  } -> tensor<f32>1070  return %0 : tensor<f32>1071}1072 1073#trait_four_tensors = {1074  indexing_maps = [1075    affine_map<(i) -> (i)>,  // A1076    affine_map<(i) -> (i)>,  // B1077    affine_map<(i) -> (i)>,  // C1078    affine_map<(i) -> (i)>,  // D1079    affine_map<(i) -> (i)>   // X (out)1080  ],1081  iterator_types = ["parallel"],1082  doc = "X(i) = A(i) + B(i) + C(i) + D(i)"1083}1084 1085// CHECK-LABEL:   func @four_tensors_op(1086// CHECK-SAME:      %[[VAL_0:.*0]]: tensor<?xf64>,1087// CHECK-SAME:      %[[VAL_1:.*1]]: tensor<?xf64, #sparse{{[0-9]*}}>, %[[VAL_2:.*2]]: tensor<?xf64>, %[[VAL_3:.*3]]: tensor<?xf64, #sparse{{[0-9]*}}>,1088// CHECK-SAME:      %[[VAL_4:.*]]: tensor<?xf64>) -> tensor<?xf64> {1089// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 0 : index1090// CHECK-DAG:       %[[VAL_6:.*]] = arith.constant true1091// CHECK-DAG:       %[[VAL_7:.*]] = arith.constant 1 : index1092// CHECK-DAG:       %[[VAL_8:.*]] = bufferization.to_buffer %[[VAL_0]] : tensor<?xf64> to memref<?xf64>1093// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 0 : index} : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xindex>1094// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 0 : index} : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xindex>1095// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xf64>1096// CHECK-DAG:       %[[VAL_12:.*]] = bufferization.to_buffer %[[VAL_2]] : tensor<?xf64> to memref<?xf64>1097// CHECK-DAG:       %[[VAL_13:.*]] = sparse_tensor.positions %[[VAL_3]] {level = 0 : index} : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xindex>1098// CHECK-DAG:       %[[VAL_14:.*]] = sparse_tensor.coordinates %[[VAL_3]] {level = 0 : index} : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xindex>1099// CHECK-DAG:       %[[VAL_15:.*]] = sparse_tensor.values %[[VAL_3]] : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xf64>1100// CHECK-DAG:       %[[VAL_16:.*]] = tensor.dim %[[VAL_0]], %[[VAL_5]] : tensor<?xf64>1101// CHECK-DAG:       %[[VAL_18:.*]] = bufferization.to_buffer %[[VAL_4]]1102// CHECK-DAG:       linalg.fill ins(%{{.*}} : f64) outs(%[[VAL_18]] : memref<?xf64>)1103// CHECK-DAG:       %[[VAL_19:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_5]]] : memref<?xindex>1104// CHECK-DAG:       %[[VAL_20:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_7]]] : memref<?xindex>1105// CHECK-DAG:       %[[VAL_21:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_5]]] : memref<?xindex>1106// CHECK-DAG:       %[[VAL_22:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_7]]] : memref<?xindex>1107// CHECK:           %[[VAL_23:.*]]:3 = scf.while (%[[VAL_24:.*]] = %[[VAL_19]], %[[VAL_25:.*]] = %[[VAL_21]], %[[VAL_26:.*]] = %[[VAL_5]]) : (index, index, index) -> (index, index, index) {1108// CHECK:             %[[VAL_27:.*]] = arith.cmpi ult, %[[VAL_24]], %[[VAL_20]] : index1109// CHECK:             %[[VAL_28:.*]] = arith.cmpi ult, %[[VAL_25]], %[[VAL_22]] : index1110// CHECK:             %[[VAL_29:.*]] = arith.andi %[[VAL_27]], %[[VAL_28]] : i11111// CHECK:             scf.condition(%[[VAL_29]]) %[[VAL_24]], %[[VAL_25]], %[[VAL_26]] : index, index, index1112// CHECK:           } do {1113// CHECK:           ^bb0(%[[VAL_30:.*]]: index, %[[VAL_31:.*]]: index, %[[VAL_32:.*]]: index):1114// CHECK:             %[[VAL_33:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_30]]] : memref<?xindex>1115// CHECK:             %[[VAL_34:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_31]]] : memref<?xindex>1116// CHECK:             %[[VAL_35:.*]] = arith.cmpi eq, %[[VAL_33]], %[[VAL_32]] : index1117// CHECK:             %[[VAL_36:.*]] = arith.cmpi eq, %[[VAL_34]], %[[VAL_32]] : index1118// CHECK:             %[[VAL_37:.*]] = arith.andi %[[VAL_35]], %[[VAL_36]] : i11119// CHECK:             scf.if %[[VAL_37]] {1120// CHECK:               %[[VAL_38:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_32]]] : memref<?xf64>1121// CHECK:               %[[VAL_39:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_30]]] : memref<?xf64>1122// CHECK:               %[[VAL_40:.*]] = arith.addf %[[VAL_38]], %[[VAL_39]] : f641123// CHECK:               %[[VAL_41:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_32]]] : memref<?xf64>1124// CHECK:               %[[VAL_42:.*]] = memref.load %[[VAL_15]]{{\[}}%[[VAL_31]]] : memref<?xf64>1125// CHECK:               %[[VAL_43:.*]] = arith.addf %[[VAL_41]], %[[VAL_42]] : f641126// CHECK:               %[[VAL_44:.*]] = arith.addf %[[VAL_40]], %[[VAL_43]] : f641127// CHECK:               memref.store %[[VAL_44]], %[[VAL_18]]{{\[}}%[[VAL_32]]] : memref<?xf64>1128// CHECK:             } else {1129// CHECK:               %[[VAL_45:.*]] = arith.cmpi eq, %[[VAL_33]], %[[VAL_32]] : index1130// CHECK:               scf.if %[[VAL_45]] {1131// CHECK:                 %[[VAL_46:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_32]]] : memref<?xf64>1132// CHECK:                 %[[VAL_47:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_30]]] : memref<?xf64>1133// CHECK:                 %[[VAL_48:.*]] = arith.addf %[[VAL_46]], %[[VAL_47]] : f641134// CHECK:                 %[[VAL_49:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_32]]] : memref<?xf64>1135// CHECK:                 %[[VAL_50:.*]] = arith.addf %[[VAL_48]], %[[VAL_49]] : f641136// CHECK:                 memref.store %[[VAL_50]], %[[VAL_18]]{{\[}}%[[VAL_32]]] : memref<?xf64>1137// CHECK:               } else {1138// CHECK:                 %[[VAL_51:.*]] = arith.cmpi eq, %[[VAL_34]], %[[VAL_32]] : index1139// CHECK:                 scf.if %[[VAL_51]] {1140// CHECK:                   %[[VAL_52:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_32]]] : memref<?xf64>1141// CHECK:                   %[[VAL_53:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_32]]] : memref<?xf64>1142// CHECK:                   %[[VAL_54:.*]] = memref.load %[[VAL_15]]{{\[}}%[[VAL_31]]] : memref<?xf64>1143// CHECK:                   %[[VAL_55:.*]] = arith.addf %[[VAL_53]], %[[VAL_54]] : f641144// CHECK:                   %[[VAL_56:.*]] = arith.addf %[[VAL_52]], %[[VAL_55]] : f641145// CHECK:                   memref.store %[[VAL_56]], %[[VAL_18]]{{\[}}%[[VAL_32]]] : memref<?xf64>1146// CHECK:                 } else {1147// CHECK:                   scf.if %[[VAL_6]] {1148// CHECK:                     %[[VAL_57:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_32]]] : memref<?xf64>1149// CHECK:                     %[[VAL_58:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_32]]] : memref<?xf64>1150// CHECK:                     %[[VAL_59:.*]] = arith.addf %[[VAL_57]], %[[VAL_58]] : f641151// CHECK:                     memref.store %[[VAL_59]], %[[VAL_18]]{{\[}}%[[VAL_32]]] : memref<?xf64>1152// CHECK:                   } else {1153// CHECK:                   }1154// CHECK:                 }1155// CHECK:               }1156// CHECK:             }1157// CHECK:             %[[VAL_60:.*]] = arith.cmpi eq, %[[VAL_33]], %[[VAL_32]] : index1158// CHECK:             %[[VAL_61:.*]] = arith.addi %[[VAL_30]], %[[VAL_7]] : index1159// CHECK:             %[[VAL_62:.*]] = arith.select %[[VAL_60]], %[[VAL_61]], %[[VAL_30]] : index1160// CHECK:             %[[VAL_63:.*]] = arith.cmpi eq, %[[VAL_34]], %[[VAL_32]] : index1161// CHECK:             %[[VAL_64:.*]] = arith.addi %[[VAL_31]], %[[VAL_7]] : index1162// CHECK:             %[[VAL_65:.*]] = arith.select %[[VAL_63]], %[[VAL_64]], %[[VAL_31]] : index1163// CHECK:             %[[VAL_66:.*]] = arith.addi %[[VAL_32]], %[[VAL_7]] : index1164// CHECK:             scf.yield %[[VAL_62]], %[[VAL_65]], %[[VAL_66]] : index, index, index1165// CHECK:           }1166// CHECK:           %[[VAL_67:.*]]:2 = scf.while (%[[VAL_68:.*]] = %[[VAL_69:.*]]#0, %[[VAL_70:.*]] = %[[VAL_69]]#2) : (index, index) -> (index, index) {1167// CHECK:             %[[VAL_71:.*]] = arith.cmpi ult, %[[VAL_68]], %[[VAL_20]] : index1168// CHECK:             scf.condition(%[[VAL_71]]) %[[VAL_68]], %[[VAL_70]] : index, index1169// CHECK:           } do {1170// CHECK:           ^bb0(%[[VAL_72:.*]]: index, %[[VAL_73:.*]]: index):1171// CHECK:             %[[VAL_74:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_72]]] : memref<?xindex>1172// CHECK:             %[[VAL_75:.*]] = arith.cmpi eq, %[[VAL_74]], %[[VAL_73]] : index1173// CHECK:             scf.if %[[VAL_75]] {1174// CHECK:               %[[VAL_76:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_73]]] : memref<?xf64>1175// CHECK:               %[[VAL_77:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_72]]] : memref<?xf64>1176// CHECK:               %[[VAL_78:.*]] = arith.addf %[[VAL_76]], %[[VAL_77]] : f641177// CHECK:               %[[VAL_79:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_73]]] : memref<?xf64>1178// CHECK:               %[[VAL_80:.*]] = arith.addf %[[VAL_78]], %[[VAL_79]] : f641179// CHECK:               memref.store %[[VAL_80]], %[[VAL_18]]{{\[}}%[[VAL_73]]] : memref<?xf64>1180// CHECK:             } else {1181// CHECK:               scf.if %[[VAL_6]] {1182// CHECK:                 %[[VAL_81:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_73]]] : memref<?xf64>1183// CHECK:                 %[[VAL_82:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_73]]] : memref<?xf64>1184// CHECK:                 %[[VAL_83:.*]] = arith.addf %[[VAL_81]], %[[VAL_82]] : f641185// CHECK:                 memref.store %[[VAL_83]], %[[VAL_18]]{{\[}}%[[VAL_73]]] : memref<?xf64>1186// CHECK:               } else {1187// CHECK:               }1188// CHECK:             }1189// CHECK:             %[[VAL_84:.*]] = arith.cmpi eq, %[[VAL_74]], %[[VAL_73]] : index1190// CHECK:             %[[VAL_85:.*]] = arith.addi %[[VAL_72]], %[[VAL_7]] : index1191// CHECK:             %[[VAL_86:.*]] = arith.select %[[VAL_84]], %[[VAL_85]], %[[VAL_72]] : index1192// CHECK:             %[[VAL_87:.*]] = arith.addi %[[VAL_73]], %[[VAL_7]] : index1193// CHECK:             scf.yield %[[VAL_86]], %[[VAL_87]] : index, index1194// CHECK:           }1195// CHECK:           %[[VAL_88:.*]]:2 = scf.while (%[[VAL_89:.*]] = %[[VAL_90:.*]]#1, %[[VAL_91:.*]] = %[[VAL_92:.*]]#1) : (index, index) -> (index, index) {1196// CHECK:             %[[VAL_93:.*]] = arith.cmpi ult, %[[VAL_89]], %[[VAL_22]] : index1197// CHECK:             scf.condition(%[[VAL_93]]) %[[VAL_89]], %[[VAL_91]] : index, index1198// CHECK:           } do {1199// CHECK:           ^bb0(%[[VAL_94:.*]]: index, %[[VAL_95:.*]]: index):1200// CHECK:             %[[VAL_96:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_94]]] : memref<?xindex>1201// CHECK:             %[[VAL_97:.*]] = arith.cmpi eq, %[[VAL_96]], %[[VAL_95]] : index1202// CHECK:             scf.if %[[VAL_97]] {1203// CHECK:               %[[VAL_98:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_95]]] : memref<?xf64>1204// CHECK:               %[[VAL_99:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_95]]] : memref<?xf64>1205// CHECK:               %[[VAL_100:.*]] = memref.load %[[VAL_15]]{{\[}}%[[VAL_94]]] : memref<?xf64>1206// CHECK:               %[[VAL_101:.*]] = arith.addf %[[VAL_99]], %[[VAL_100]] : f641207// CHECK:               %[[VAL_102:.*]] = arith.addf %[[VAL_98]], %[[VAL_101]] : f641208// CHECK:               memref.store %[[VAL_102]], %[[VAL_18]]{{\[}}%[[VAL_95]]] : memref<?xf64>1209// CHECK:             } else {1210// CHECK:               scf.if %[[VAL_6]] {1211// CHECK:                 %[[VAL_103:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_95]]] : memref<?xf64>1212// CHECK:                 %[[VAL_104:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_95]]] : memref<?xf64>1213// CHECK:                 %[[VAL_105:.*]] = arith.addf %[[VAL_103]], %[[VAL_104]] : f641214// CHECK:                 memref.store %[[VAL_105]], %[[VAL_18]]{{\[}}%[[VAL_95]]] : memref<?xf64>1215// CHECK:               } else {1216// CHECK:               }1217// CHECK:             }1218// CHECK:             %[[VAL_106:.*]] = arith.cmpi eq, %[[VAL_96]], %[[VAL_95]] : index1219// CHECK:             %[[VAL_107:.*]] = arith.addi %[[VAL_94]], %[[VAL_7]] : index1220// CHECK:             %[[VAL_108:.*]] = arith.select %[[VAL_106]], %[[VAL_107]], %[[VAL_94]] : index1221// CHECK:             %[[VAL_109:.*]] = arith.addi %[[VAL_95]], %[[VAL_7]] : index1222// CHECK:             scf.yield %[[VAL_108]], %[[VAL_109]] : index, index1223// CHECK:           }1224// CHECK:           scf.for %[[VAL_110:.*]] = %[[VAL_111:.*]]#1 to %[[VAL_16]] step %[[VAL_7]] {1225// CHECK:             %[[VAL_112:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_110]]] : memref<?xf64>1226// CHECK:             %[[VAL_113:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_110]]] : memref<?xf64>1227// CHECK:             %[[VAL_114:.*]] = arith.addf %[[VAL_112]], %[[VAL_113]] : f641228// CHECK:             memref.store %[[VAL_114]], %[[VAL_18]]{{\[}}%[[VAL_110]]] : memref<?xf64>1229// CHECK:           }1230// CHECK:           %[[VAL_115:.*]] = bufferization.to_tensor %[[VAL_18]] : memref<?xf64>1231// CHECK:           return %[[VAL_115]] : tensor<?xf64>1232// CHECK:         }1233func.func @four_tensors_op(%arga: tensor<?xf64>,1234                      %argb: tensor<?xf64, #SV>,1235                      %argc: tensor<?xf64>,1236                      %argd: tensor<?xf64, #SV>,1237                      %argx: tensor<?xf64>) -> tensor<?xf64> {1238  %r = linalg.generic #trait_four_tensors1239    ins(%arga, %argb, %argc, %argd: tensor<?xf64>, tensor<?xf64, #SV>, tensor<?xf64>, tensor<?xf64, #SV>)1240    outs(%argx: tensor<?xf64>) {1241      ^bb(%a: f64, %b: f64, %c: f64, %d: f64, %x: f64):1242        %0 = arith.addf %a, %b : f641243        %1 = arith.addf %c, %d : f641244        %2 = arith.addf %0, %1 : f641245        linalg.yield %2 : f641246  } -> tensor<?xf64>1247  return %r : tensor<?xf64>1248}1249 1250#trait_red3s = {1251  indexing_maps = [1252    affine_map<(i) -> (i)>,1253    affine_map<(i) -> (i)>,1254    affine_map<(i) -> (i)>,1255    affine_map<(i) -> ()>1256  ],1257  iterator_types = ["reduction"],1258  doc = "x += a(i) + b(i) + c(i)"1259}1260 1261// CHECK-LABEL:   func @red3s(1262// CHECK-SAME:      %[[VAL_0:.*0]]: tensor<?xf64, #sparse{{[0-9]*}}>, %[[VAL_1:.*1]]: tensor<?xf64, #sparse{{[0-9]*}}>, %[[VAL_2:.*2]]: tensor<?xf64, #sparse{{[0-9]*}}>,1263// CHECK-SAME:      %[[VAL_3:.*3]]: tensor<f64>) -> tensor<f64> {1264// CHECK-DAG:       %[[VAL_4:.*]] = arith.constant 0 : index1265// CHECK-DAG:       %[[VAL_5:.*]] = arith.constant 1 : index1266// CHECK-DAG:       %[[VAL_6:.*]] = sparse_tensor.positions %[[VAL_0]] {level = 0 : index} : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xindex>1267// CHECK-DAG:       %[[VAL_7:.*]] = sparse_tensor.coordinates %[[VAL_0]] {level = 0 : index} : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xindex>1268// CHECK-DAG:       %[[VAL_8:.*]] = sparse_tensor.values %[[VAL_0]] : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xf64>1269// CHECK-DAG:       %[[VAL_9:.*]] = sparse_tensor.positions %[[VAL_1]] {level = 0 : index} : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xindex>1270// CHECK-DAG:       %[[VAL_10:.*]] = sparse_tensor.coordinates %[[VAL_1]] {level = 0 : index} : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xindex>1271// CHECK-DAG:       %[[VAL_11:.*]] = sparse_tensor.values %[[VAL_1]] : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xf64>1272// CHECK-DAG:       %[[VAL_12:.*]] = sparse_tensor.positions %[[VAL_2]] {level = 0 : index} : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xindex>1273// CHECK-DAG:       %[[VAL_13:.*]] = sparse_tensor.coordinates %[[VAL_2]] {level = 0 : index} : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xindex>1274// CHECK-DAG:       %[[VAL_14:.*]] = sparse_tensor.values %[[VAL_2]] : tensor<?xf64, #sparse{{[0-9]*}}> to memref<?xf64>1275// CHECK-DAG:       %[[VAL_15:.*]] = bufferization.to_buffer %[[VAL_3]] : tensor<f64> to memref<f64>1276// CHECK-DAG:       %[[VAL_17:.*]] = memref.load %[[VAL_15]][] : memref<f64>1277// CHECK-DAG:       %[[VAL_18:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_4]]] : memref<?xindex>1278// CHECK-DAG:       %[[VAL_19:.*]] = memref.load %[[VAL_6]]{{\[}}%[[VAL_5]]] : memref<?xindex>1279// CHECK-DAG:       %[[VAL_20:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_4]]] : memref<?xindex>1280// CHECK-DAG:       %[[VAL_21:.*]] = memref.load %[[VAL_9]]{{\[}}%[[VAL_5]]] : memref<?xindex>1281// CHECK-DAG:       %[[VAL_22:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_4]]] : memref<?xindex>1282// CHECK-DAG:       %[[VAL_23:.*]] = memref.load %[[VAL_12]]{{\[}}%[[VAL_5]]] : memref<?xindex>1283// CHECK:           %[[VAL_24:.*]]:4 = scf.while (%[[VAL_25:.*]] = %[[VAL_18]], %[[VAL_26:.*]] = %[[VAL_20]], %[[VAL_27:.*]] = %[[VAL_22]], %[[VAL_28:.*]] = %[[VAL_17]]) : (index, index, index, f64) -> (index, index, index, f64) {1284// CHECK:             %[[VAL_29:.*]] = arith.cmpi ult, %[[VAL_25]], %[[VAL_19]] : index1285// CHECK:             %[[VAL_30:.*]] = arith.cmpi ult, %[[VAL_26]], %[[VAL_21]] : index1286// CHECK:             %[[VAL_31:.*]] = arith.andi %[[VAL_29]], %[[VAL_30]] : i11287// CHECK:             %[[VAL_32:.*]] = arith.cmpi ult, %[[VAL_27]], %[[VAL_23]] : index1288// CHECK:             %[[VAL_33:.*]] = arith.andi %[[VAL_31]], %[[VAL_32]] : i11289// CHECK:             scf.condition(%[[VAL_33]]) %[[VAL_25]], %[[VAL_26]], %[[VAL_27]], %[[VAL_28]] : index, index, index, f641290// CHECK:           } do {1291// CHECK:           ^bb0(%[[VAL_34:.*]]: index, %[[VAL_35:.*]]: index, %[[VAL_36:.*]]: index, %[[VAL_37:.*]]: f64):1292// CHECK-DAG:         %[[VAL_38:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_34]]] : memref<?xindex>1293// CHECK-DAG:         %[[VAL_39:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_35]]] : memref<?xindex>1294// CHECK-DAG:         %[[VAL_42:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_36]]] : memref<?xindex>1295// CHECK:             %[[VAL_40:.*]] = arith.cmpi ult, %[[VAL_39]], %[[VAL_38]] : index1296// CHECK:             %[[VAL_41:.*]] = arith.select %[[VAL_40]], %[[VAL_39]], %[[VAL_38]] : index1297// CHECK:             %[[VAL_43:.*]] = arith.cmpi ult, %[[VAL_42]], %[[VAL_41]] : index1298// CHECK:             %[[VAL_44:.*]] = arith.select %[[VAL_43]], %[[VAL_42]], %[[VAL_41]] : index1299// CHECK:             %[[VAL_45:.*]] = arith.cmpi eq, %[[VAL_38]], %[[VAL_44]] : index1300// CHECK:             %[[VAL_46:.*]] = arith.cmpi eq, %[[VAL_39]], %[[VAL_44]] : index1301// CHECK:             %[[VAL_47:.*]] = arith.andi %[[VAL_45]], %[[VAL_46]] : i11302// CHECK:             %[[VAL_48:.*]] = arith.cmpi eq, %[[VAL_42]], %[[VAL_44]] : index1303// CHECK:             %[[VAL_49:.*]] = arith.andi %[[VAL_47]], %[[VAL_48]] : i11304// CHECK:             %[[VAL_50:.*]] = scf.if %[[VAL_49]] -> (f64) {1305// CHECK:               %[[VAL_51:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_34]]] : memref<?xf64>1306// CHECK:               %[[VAL_52:.*]] = arith.addf %[[VAL_37]], %[[VAL_51]] : f641307// CHECK:               %[[VAL_53:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_35]]] : memref<?xf64>1308// CHECK:               %[[VAL_54:.*]] = arith.addf %[[VAL_52]], %[[VAL_53]] : f641309// CHECK:               %[[VAL_55:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_36]]] : memref<?xf64>1310// CHECK:               %[[VAL_56:.*]] = arith.addf %[[VAL_54]], %[[VAL_55]] : f641311// CHECK:               scf.yield %[[VAL_56]] : f641312// CHECK:             } else {1313// CHECK:               %[[VAL_57:.*]] = arith.cmpi eq, %[[VAL_39]], %[[VAL_44]] : index1314// CHECK:               %[[VAL_58:.*]] = arith.cmpi eq, %[[VAL_42]], %[[VAL_44]] : index1315// CHECK:               %[[VAL_59:.*]] = arith.andi %[[VAL_57]], %[[VAL_58]] : i11316// CHECK:               %[[VAL_60:.*]] = scf.if %[[VAL_59]] -> (f64) {1317// CHECK:                 %[[VAL_61:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_35]]] : memref<?xf64>1318// CHECK:                 %[[VAL_62:.*]] = arith.addf %[[VAL_37]], %[[VAL_61]] : f641319// CHECK:                 %[[VAL_63:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_36]]] : memref<?xf64>1320// CHECK:                 %[[VAL_64:.*]] = arith.addf %[[VAL_62]], %[[VAL_63]] : f641321// CHECK:                 scf.yield %[[VAL_64]] : f641322// CHECK:               } else {1323// CHECK:                 %[[VAL_65:.*]] = arith.cmpi eq, %[[VAL_38]], %[[VAL_44]] : index1324// CHECK:                 %[[VAL_66:.*]] = arith.cmpi eq, %[[VAL_42]], %[[VAL_44]] : index1325// CHECK:                 %[[VAL_67:.*]] = arith.andi %[[VAL_65]], %[[VAL_66]] : i11326// CHECK:                 %[[VAL_68:.*]] = scf.if %[[VAL_67]] -> (f64) {1327// CHECK:                   %[[VAL_69:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_34]]] : memref<?xf64>1328// CHECK:                   %[[VAL_70:.*]] = arith.addf %[[VAL_37]], %[[VAL_69]] : f641329// CHECK:                   %[[VAL_71:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_36]]] : memref<?xf64>1330// CHECK:                   %[[VAL_72:.*]] = arith.addf %[[VAL_70]], %[[VAL_71]] : f641331// CHECK:                   scf.yield %[[VAL_72]] : f641332// CHECK:                 } else {1333// CHECK:                   %[[VAL_73:.*]] = arith.cmpi eq, %[[VAL_42]], %[[VAL_44]] : index1334// CHECK:                   %[[VAL_74:.*]] = scf.if %[[VAL_73]] -> (f64) {1335// CHECK:                     %[[VAL_75:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_36]]] : memref<?xf64>1336// CHECK:                     %[[VAL_76:.*]] = arith.addf %[[VAL_37]], %[[VAL_75]] : f641337// CHECK:                     scf.yield %[[VAL_76]] : f641338// CHECK:                   } else {1339// CHECK:                     %[[VAL_77:.*]] = arith.cmpi eq, %[[VAL_38]], %[[VAL_44]] : index1340// CHECK:                     %[[VAL_78:.*]] = arith.cmpi eq, %[[VAL_39]], %[[VAL_44]] : index1341// CHECK:                     %[[VAL_79:.*]] = arith.andi %[[VAL_77]], %[[VAL_78]] : i11342// CHECK:                     %[[VAL_80:.*]] = scf.if %[[VAL_79]] -> (f64) {1343// CHECK:                       %[[VAL_81:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_34]]] : memref<?xf64>1344// CHECK:                       %[[VAL_82:.*]] = arith.addf %[[VAL_37]], %[[VAL_81]] : f641345// CHECK:                       %[[VAL_83:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_35]]] : memref<?xf64>1346// CHECK:                       %[[VAL_84:.*]] = arith.addf %[[VAL_82]], %[[VAL_83]] : f641347// CHECK:                       scf.yield %[[VAL_84]] : f641348// CHECK:                     } else {1349// CHECK:                       %[[VAL_85:.*]] = arith.cmpi eq, %[[VAL_39]], %[[VAL_44]] : index1350// CHECK:                       %[[VAL_86:.*]] = scf.if %[[VAL_85]] -> (f64) {1351// CHECK:                         %[[VAL_87:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_35]]] : memref<?xf64>1352// CHECK:                         %[[VAL_88:.*]] = arith.addf %[[VAL_37]], %[[VAL_87]] : f641353// CHECK:                         scf.yield %[[VAL_88]] : f641354// CHECK:                       } else {1355// CHECK:                         %[[VAL_89:.*]] = arith.cmpi eq, %[[VAL_38]], %[[VAL_44]] : index1356// CHECK:                         %[[VAL_90:.*]] = scf.if %[[VAL_89]] -> (f64) {1357// CHECK:                           %[[VAL_91:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_34]]] : memref<?xf64>1358// CHECK:                           %[[VAL_92:.*]] = arith.addf %[[VAL_37]], %[[VAL_91]] : f641359// CHECK:                           scf.yield %[[VAL_92]] : f641360// CHECK:                         } else {1361// CHECK:                           scf.yield %[[VAL_37]] : f641362// CHECK:                         }1363// CHECK:                         scf.yield %[[VAL_93:.*]] : f641364// CHECK:                       }1365// CHECK:                       scf.yield %[[VAL_94:.*]] : f641366// CHECK:                     }1367// CHECK:                     scf.yield %[[VAL_95:.*]] : f641368// CHECK:                   }1369// CHECK:                   scf.yield %[[VAL_96:.*]] : f641370// CHECK:                 }1371// CHECK:                 scf.yield %[[VAL_97:.*]] : f641372// CHECK:               }1373// CHECK:               scf.yield %[[VAL_98:.*]] : f641374// CHECK:             }1375// CHECK:             %[[VAL_99:.*]] = arith.cmpi eq, %[[VAL_38]], %[[VAL_44]] : index1376// CHECK:             %[[VAL_100:.*]] = arith.addi %[[VAL_34]], %[[VAL_5]] : index1377// CHECK:             %[[VAL_101:.*]] = arith.select %[[VAL_99]], %[[VAL_100]], %[[VAL_34]] : index1378// CHECK:             %[[VAL_102:.*]] = arith.cmpi eq, %[[VAL_39]], %[[VAL_44]] : index1379// CHECK:             %[[VAL_103:.*]] = arith.addi %[[VAL_35]], %[[VAL_5]] : index1380// CHECK:             %[[VAL_104:.*]] = arith.select %[[VAL_102]], %[[VAL_103]], %[[VAL_35]] : index1381// CHECK:             %[[VAL_105:.*]] = arith.cmpi eq, %[[VAL_42]], %[[VAL_44]] : index1382// CHECK:             %[[VAL_106:.*]] = arith.addi %[[VAL_36]], %[[VAL_5]] : index1383// CHECK:             %[[VAL_107:.*]] = arith.select %[[VAL_105]], %[[VAL_106]], %[[VAL_36]] : index1384// CHECK:             scf.yield %[[VAL_101]], %[[VAL_104]], %[[VAL_107]], %[[VAL_108:.*]] : index, index, index, f641385// CHECK:           }1386// CHECK:           %[[VAL_109:.*]]:3 = scf.while (%[[VAL_110:.*]] = %[[VAL_111:.*]]#1, %[[VAL_112:.*]] = %[[VAL_111]]#2, %[[VAL_113:.*]] = %[[VAL_111]]#3) : (index, index, f64) -> (index, index, f64) {1387// CHECK:             %[[VAL_114:.*]] = arith.cmpi ult, %[[VAL_110]], %[[VAL_21]] : index1388// CHECK:             %[[VAL_115:.*]] = arith.cmpi ult, %[[VAL_112]], %[[VAL_23]] : index1389// CHECK:             %[[VAL_116:.*]] = arith.andi %[[VAL_114]], %[[VAL_115]] : i11390// CHECK:             scf.condition(%[[VAL_116]]) %[[VAL_110]], %[[VAL_112]], %[[VAL_113]] : index, index, f641391// CHECK:           } do {1392// CHECK:           ^bb0(%[[VAL_117:.*]]: index, %[[VAL_118:.*]]: index, %[[VAL_119:.*]]: f64):1393// CHECK:             %[[VAL_120:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_117]]] : memref<?xindex>1394// CHECK:             %[[VAL_121:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_118]]] : memref<?xindex>1395// CHECK:             %[[VAL_122:.*]] = arith.cmpi ult, %[[VAL_121]], %[[VAL_120]] : index1396// CHECK:             %[[VAL_123:.*]] = arith.select %[[VAL_122]], %[[VAL_121]], %[[VAL_120]] : index1397// CHECK:             %[[VAL_124:.*]] = arith.cmpi eq, %[[VAL_120]], %[[VAL_123]] : index1398// CHECK:             %[[VAL_125:.*]] = arith.cmpi eq, %[[VAL_121]], %[[VAL_123]] : index1399// CHECK:             %[[VAL_126:.*]] = arith.andi %[[VAL_124]], %[[VAL_125]] : i11400// CHECK:             %[[VAL_127:.*]] = scf.if %[[VAL_126]] -> (f64) {1401// CHECK:               %[[VAL_128:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_117]]] : memref<?xf64>1402// CHECK:               %[[VAL_129:.*]] = arith.addf %[[VAL_119]], %[[VAL_128]] : f641403// CHECK:               %[[VAL_130:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_118]]] : memref<?xf64>1404// CHECK:               %[[VAL_131:.*]] = arith.addf %[[VAL_129]], %[[VAL_130]] : f641405// CHECK:               scf.yield %[[VAL_131]] : f641406// CHECK:             } else {1407// CHECK:               %[[VAL_132:.*]] = arith.cmpi eq, %[[VAL_121]], %[[VAL_123]] : index1408// CHECK:               %[[VAL_133:.*]] = scf.if %[[VAL_132]] -> (f64) {1409// CHECK:                 %[[VAL_134:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_118]]] : memref<?xf64>1410// CHECK:                 %[[VAL_135:.*]] = arith.addf %[[VAL_119]], %[[VAL_134]] : f641411// CHECK:                 scf.yield %[[VAL_135]] : f641412// CHECK:               } else {1413// CHECK:                 %[[VAL_136:.*]] = arith.cmpi eq, %[[VAL_120]], %[[VAL_123]] : index1414// CHECK:                 %[[VAL_137:.*]] = scf.if %[[VAL_136]] -> (f64) {1415// CHECK:                   %[[VAL_138:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_117]]] : memref<?xf64>1416// CHECK:                   %[[VAL_139:.*]] = arith.addf %[[VAL_119]], %[[VAL_138]] : f641417// CHECK:                   scf.yield %[[VAL_139]] : f641418// CHECK:                 } else {1419// CHECK:                   scf.yield %[[VAL_119]] : f641420// CHECK:                 }1421// CHECK:                 scf.yield %[[VAL_140:.*]] : f641422// CHECK:               }1423// CHECK:               scf.yield %[[VAL_141:.*]] : f641424// CHECK:             }1425// CHECK:             %[[VAL_142:.*]] = arith.cmpi eq, %[[VAL_120]], %[[VAL_123]] : index1426// CHECK:             %[[VAL_143:.*]] = arith.addi %[[VAL_117]], %[[VAL_5]] : index1427// CHECK:             %[[VAL_144:.*]] = arith.select %[[VAL_142]], %[[VAL_143]], %[[VAL_117]] : index1428// CHECK:             %[[VAL_145:.*]] = arith.cmpi eq, %[[VAL_121]], %[[VAL_123]] : index1429// CHECK:             %[[VAL_146:.*]] = arith.addi %[[VAL_118]], %[[VAL_5]] : index1430// CHECK:             %[[VAL_147:.*]] = arith.select %[[VAL_145]], %[[VAL_146]], %[[VAL_118]] : index1431// CHECK:             scf.yield %[[VAL_144]], %[[VAL_147]], %[[VAL_148:.*]] : index, index, f641432// CHECK:           }1433// CHECK:           %[[VAL_149:.*]]:3 = scf.while (%[[VAL_150:.*]] = %[[VAL_151:.*]]#0, %[[VAL_152:.*]] = %[[VAL_153:.*]]#1, %[[VAL_154:.*]] = %[[VAL_153]]#2) : (index, index, f64) -> (index, index, f64) {1434// CHECK:             %[[VAL_155:.*]] = arith.cmpi ult, %[[VAL_150]], %[[VAL_19]] : index1435// CHECK:             %[[VAL_156:.*]] = arith.cmpi ult, %[[VAL_152]], %[[VAL_23]] : index1436// CHECK:             %[[VAL_157:.*]] = arith.andi %[[VAL_155]], %[[VAL_156]] : i11437// CHECK:             scf.condition(%[[VAL_157]]) %[[VAL_150]], %[[VAL_152]], %[[VAL_154]] : index, index, f641438// CHECK:           } do {1439// CHECK:           ^bb0(%[[VAL_158:.*]]: index, %[[VAL_159:.*]]: index, %[[VAL_160:.*]]: f64):1440// CHECK:             %[[VAL_161:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_158]]] : memref<?xindex>1441// CHECK:             %[[VAL_162:.*]] = memref.load %[[VAL_13]]{{\[}}%[[VAL_159]]] : memref<?xindex>1442// CHECK:             %[[VAL_163:.*]] = arith.cmpi ult, %[[VAL_162]], %[[VAL_161]] : index1443// CHECK:             %[[VAL_164:.*]] = arith.select %[[VAL_163]], %[[VAL_162]], %[[VAL_161]] : index1444// CHECK:             %[[VAL_165:.*]] = arith.cmpi eq, %[[VAL_161]], %[[VAL_164]] : index1445// CHECK:             %[[VAL_166:.*]] = arith.cmpi eq, %[[VAL_162]], %[[VAL_164]] : index1446// CHECK:             %[[VAL_167:.*]] = arith.andi %[[VAL_165]], %[[VAL_166]] : i11447// CHECK:             %[[VAL_168:.*]] = scf.if %[[VAL_167]] -> (f64) {1448// CHECK:               %[[VAL_169:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_158]]] : memref<?xf64>1449// CHECK:               %[[VAL_170:.*]] = arith.addf %[[VAL_160]], %[[VAL_169]] : f641450// CHECK:               %[[VAL_171:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_159]]] : memref<?xf64>1451// CHECK:               %[[VAL_172:.*]] = arith.addf %[[VAL_170]], %[[VAL_171]] : f641452// CHECK:               scf.yield %[[VAL_172]] : f641453// CHECK:             } else {1454// CHECK:               %[[VAL_173:.*]] = arith.cmpi eq, %[[VAL_162]], %[[VAL_164]] : index1455// CHECK:               %[[VAL_174:.*]] = scf.if %[[VAL_173]] -> (f64) {1456// CHECK:                 %[[VAL_175:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_159]]] : memref<?xf64>1457// CHECK:                 %[[VAL_176:.*]] = arith.addf %[[VAL_160]], %[[VAL_175]] : f641458// CHECK:                 scf.yield %[[VAL_176]] : f641459// CHECK:               } else {1460// CHECK:                 %[[VAL_177:.*]] = arith.cmpi eq, %[[VAL_161]], %[[VAL_164]] : index1461// CHECK:                 %[[VAL_178:.*]] = scf.if %[[VAL_177]] -> (f64) {1462// CHECK:                   %[[VAL_179:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_158]]] : memref<?xf64>1463// CHECK:                   %[[VAL_180:.*]] = arith.addf %[[VAL_160]], %[[VAL_179]] : f641464// CHECK:                   scf.yield %[[VAL_180]] : f641465// CHECK:                 } else {1466// CHECK:                   scf.yield %[[VAL_160]] : f641467// CHECK:                 }1468// CHECK:                 scf.yield %[[VAL_181:.*]] : f641469// CHECK:               }1470// CHECK:               scf.yield %[[VAL_182:.*]] : f641471// CHECK:             }1472// CHECK:             %[[VAL_183:.*]] = arith.cmpi eq, %[[VAL_161]], %[[VAL_164]] : index1473// CHECK:             %[[VAL_184:.*]] = arith.addi %[[VAL_158]], %[[VAL_5]] : index1474// CHECK:             %[[VAL_185:.*]] = arith.select %[[VAL_183]], %[[VAL_184]], %[[VAL_158]] : index1475// CHECK:             %[[VAL_186:.*]] = arith.cmpi eq, %[[VAL_162]], %[[VAL_164]] : index1476// CHECK:             %[[VAL_187:.*]] = arith.addi %[[VAL_159]], %[[VAL_5]] : index1477// CHECK:             %[[VAL_188:.*]] = arith.select %[[VAL_186]], %[[VAL_187]], %[[VAL_159]] : index1478// CHECK:             scf.yield %[[VAL_185]], %[[VAL_188]], %[[VAL_189:.*]] : index, index, f641479// CHECK:           }1480// CHECK:           %[[VAL_190:.*]] = scf.for %[[VAL_191:.*]] = %[[VAL_192:.*]]#1 to %[[VAL_23]] step %[[VAL_5]] iter_args(%[[VAL_193:.*]] = %[[VAL_192]]#2) -> (f64) {1481// CHECK:             %[[VAL_194:.*]] = memref.load %[[VAL_14]]{{\[}}%[[VAL_191]]] : memref<?xf64>1482// CHECK:             %[[VAL_195:.*]] = arith.addf %[[VAL_193]], %[[VAL_194]] : f641483// CHECK:             scf.yield %[[VAL_195]] : f641484// CHECK:           }1485// CHECK:           %[[VAL_196:.*]]:3 = scf.while (%[[VAL_197:.*]] = %[[VAL_198:.*]]#0, %[[VAL_199:.*]] = %[[VAL_200:.*]]#0, %[[VAL_201:.*]] = %[[VAL_202:.*]]) : (index, index, f64) -> (index, index, f64) {1486// CHECK:             %[[VAL_203:.*]] = arith.cmpi ult, %[[VAL_197]], %[[VAL_19]] : index1487// CHECK:             %[[VAL_204:.*]] = arith.cmpi ult, %[[VAL_199]], %[[VAL_21]] : index1488// CHECK:             %[[VAL_205:.*]] = arith.andi %[[VAL_203]], %[[VAL_204]] : i11489// CHECK:             scf.condition(%[[VAL_205]]) %[[VAL_197]], %[[VAL_199]], %[[VAL_201]] : index, index, f641490// CHECK:           } do {1491// CHECK:           ^bb0(%[[VAL_206:.*]]: index, %[[VAL_207:.*]]: index, %[[VAL_208:.*]]: f64):1492// CHECK:             %[[VAL_209:.*]] = memref.load %[[VAL_7]]{{\[}}%[[VAL_206]]] : memref<?xindex>1493// CHECK:             %[[VAL_210:.*]] = memref.load %[[VAL_10]]{{\[}}%[[VAL_207]]] : memref<?xindex>1494// CHECK:             %[[VAL_211:.*]] = arith.cmpi ult, %[[VAL_210]], %[[VAL_209]] : index1495// CHECK:             %[[VAL_212:.*]] = arith.select %[[VAL_211]], %[[VAL_210]], %[[VAL_209]] : index1496// CHECK:             %[[VAL_213:.*]] = arith.cmpi eq, %[[VAL_209]], %[[VAL_212]] : index1497// CHECK:             %[[VAL_214:.*]] = arith.cmpi eq, %[[VAL_210]], %[[VAL_212]] : index1498// CHECK:             %[[VAL_215:.*]] = arith.andi %[[VAL_213]], %[[VAL_214]] : i11499// CHECK:             %[[VAL_216:.*]] = scf.if %[[VAL_215]] -> (f64) {1500// CHECK:               %[[VAL_217:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_206]]] : memref<?xf64>1501// CHECK:               %[[VAL_218:.*]] = arith.addf %[[VAL_208]], %[[VAL_217]] : f641502// CHECK:               %[[VAL_219:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_207]]] : memref<?xf64>1503// CHECK:               %[[VAL_220:.*]] = arith.addf %[[VAL_218]], %[[VAL_219]] : f641504// CHECK:               scf.yield %[[VAL_220]] : f641505// CHECK:             } else {1506// CHECK:               %[[VAL_221:.*]] = arith.cmpi eq, %[[VAL_210]], %[[VAL_212]] : index1507// CHECK:               %[[VAL_222:.*]] = scf.if %[[VAL_221]] -> (f64) {1508// CHECK:                 %[[VAL_223:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_207]]] : memref<?xf64>1509// CHECK:                 %[[VAL_224:.*]] = arith.addf %[[VAL_208]], %[[VAL_223]] : f641510// CHECK:                 scf.yield %[[VAL_224]] : f641511// CHECK:               } else {1512// CHECK:                 %[[VAL_225:.*]] = arith.cmpi eq, %[[VAL_209]], %[[VAL_212]] : index1513// CHECK:                 %[[VAL_226:.*]] = scf.if %[[VAL_225]] -> (f64) {1514// CHECK:                   %[[VAL_227:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_206]]] : memref<?xf64>1515// CHECK:                   %[[VAL_228:.*]] = arith.addf %[[VAL_208]], %[[VAL_227]] : f641516// CHECK:                   scf.yield %[[VAL_228]] : f641517// CHECK:                 } else {1518// CHECK:                   scf.yield %[[VAL_208]] : f641519// CHECK:                 }1520// CHECK:                 scf.yield %[[VAL_229:.*]] : f641521// CHECK:               }1522// CHECK:               scf.yield %[[VAL_230:.*]] : f641523// CHECK:             }1524// CHECK:             %[[VAL_231:.*]] = arith.cmpi eq, %[[VAL_209]], %[[VAL_212]] : index1525// CHECK:             %[[VAL_232:.*]] = arith.addi %[[VAL_206]], %[[VAL_5]] : index1526// CHECK:             %[[VAL_233:.*]] = arith.select %[[VAL_231]], %[[VAL_232]], %[[VAL_206]] : index1527// CHECK:             %[[VAL_234:.*]] = arith.cmpi eq, %[[VAL_210]], %[[VAL_212]] : index1528// CHECK:             %[[VAL_235:.*]] = arith.addi %[[VAL_207]], %[[VAL_5]] : index1529// CHECK:             %[[VAL_236:.*]] = arith.select %[[VAL_234]], %[[VAL_235]], %[[VAL_207]] : index1530// CHECK:             scf.yield %[[VAL_233]], %[[VAL_236]], %[[VAL_237:.*]] : index, index, f641531// CHECK:           }1532// CHECK:           %[[VAL_238:.*]] = scf.for %[[VAL_239:.*]] = %[[VAL_240:.*]]#1 to %[[VAL_21]] step %[[VAL_5]] iter_args(%[[VAL_241:.*]] = %[[VAL_240]]#2) -> (f64) {1533// CHECK:             %[[VAL_242:.*]] = memref.load %[[VAL_11]]{{\[}}%[[VAL_239]]] : memref<?xf64>1534// CHECK:             %[[VAL_243:.*]] = arith.addf %[[VAL_241]], %[[VAL_242]] : f641535// CHECK:             scf.yield %[[VAL_243]] : f641536// CHECK:           }1537// CHECK:           %[[VAL_244:.*]] = scf.for %[[VAL_245:.*]] = %[[VAL_246:.*]]#0 to %[[VAL_19]] step %[[VAL_5]] iter_args(%[[VAL_247:.*]] = %[[VAL_248:.*]]) -> (f64) {1538// CHECK:             %[[VAL_249:.*]] = memref.load %[[VAL_8]]{{\[}}%[[VAL_245]]] : memref<?xf64>1539// CHECK:             %[[VAL_250:.*]] = arith.addf %[[VAL_247]], %[[VAL_249]] : f641540// CHECK:             scf.yield %[[VAL_250]] : f641541// CHECK:           }1542// CHECK:           memref.store %[[VAL_251:.*]], %[[VAL_15]][] : memref<f64>1543// CHECK:           %[[VAL_252:.*]] = bufferization.to_tensor %[[VAL_15]] : memref<f64>1544// CHECK:           return %[[VAL_252]] : tensor<f64>1545// CHECK:         }1546func.func @red3s(%arga: tensor<?xf64, #SV>,1547            %argb: tensor<?xf64, #SV>,1548	    %argc: tensor<?xf64, #SV>, %argx: tensor<f64>) ->tensor<f64>{1549 %0 = linalg.generic #trait_red3s1550   ins(%arga, %argb, %argc: tensor<?xf64, #SV>, tensor<?xf64, #SV>, tensor<?xf64, #SV>)1551   outs(%argx: tensor<f64>) {1552     ^bb(%a: f64,%b: f64,%c: f64,%x: f64):1553        %0 = arith.addf %x, %a : f641554        %1 = arith.addf %0, %b : f641555        %2 = arith.addf %1, %c : f641556      linalg.yield %2 : f641557    } -> tensor<f64>1558  return %0 : tensor<f64>1559}1560