diff options
Diffstat (limited to 'tests/validation/CL/GEMMMatrixMultiplyReshaped.cpp')
| -rw-r--r-- | tests/validation/CL/GEMMMatrixMultiplyReshaped.cpp | 421 |
1 files changed, 2 insertions, 419 deletions
diff --git a/tests/validation/CL/GEMMMatrixMultiplyReshaped.cpp b/tests/validation/CL/GEMMMatrixMultiplyReshaped.cpp index cdd89670fa..b06e4bf213 100644 --- a/tests/validation/CL/GEMMMatrixMultiplyReshaped.cpp +++ b/tests/validation/CL/GEMMMatrixMultiplyReshaped.cpp @@ -1,5 +1,5 @@ /* - * Copyright (c) 2018-2022 Arm Limited. + * Copyright (c) 2018-2023 Arm Limited. * * SPDX-License-Identifier: MIT * @@ -23,7 +23,6 @@ */ #include "arm_compute/core/KernelDescriptors.h" #include "arm_compute/core/Types.h" -#include "arm_compute/core/experimental/PostOps.h" #include "arm_compute/core/utils/misc/ShapeCalculator.h" #include "arm_compute/runtime/CL/CLTensor.h" #include "arm_compute/runtime/CL/CLTensorAllocator.h" @@ -62,21 +61,11 @@ using CLGEMMMatrixMultiplyReshaped = CLSynthetizeOperator<ClGemmMatrixMultiplyRe template <typename T> using CLGEMMMatrixMultiplyReshapedFixture = GEMMMatrixMultiplyReshapedValidationFixture<CLTensor, CLAccessor, T, CLGEMMReshapeLHSMatrix, CLGEMMReshapeRHSMatrix, CLGEMMMatrixMultiplyReshaped>; -// Fixture for CLGEMMMatrixMultiplyReshaped with post ops -template <typename T> -using CLGEMMMatrixMultiplyReshapedWithPostOpsFixture = - GEMMMatrixMultiplyReshapedWithPostOpsValidationFixture<CLTensor, CLAccessor, T, CLGEMMReshapeLHSMatrix, CLGEMMReshapeRHSMatrix, CLGEMMMatrixMultiplyReshaped>; - // Fixture for CLGEMMMatrixMultiplyReshaped mixed precision template <typename T> using CLGEMMMatrixMultiplyReshapedMixedPrecisionFixture = GEMMMatrixMultiplyReshapedValidationFixture<CLTensor, CLAccessor, T, CLGEMMReshapeLHSMatrix, CLGEMMReshapeRHSMatrix, CLGEMMMatrixMultiplyReshaped, true>; -// Fixture for CLGEMMMatrixMultiplyReshaped mixed precision with post ops -template <typename T> -using CLGEMMMatrixMultiplyReshapedMixedPrecisionWithPostOpsFixture = - GEMMMatrixMultiplyReshapedWithPostOpsValidationFixture<CLTensor, CLAccessor, T, CLGEMMReshapeLHSMatrix, CLGEMMReshapeRHSMatrix, CLGEMMMatrixMultiplyReshaped, true>; - // Fixture for CLGEMMMatrixMultiplyReshaped3D template <typename T> using CLGEMMMatrixMultiplyReshaped3DFixture = GEMMMatrixMultiplyReshaped3DValidationFixture<CLTensor, CLAccessor, T, CLGEMMReshapeLHSMatrix, CLGEMMReshapeRHSMatrix, CLGEMMMatrixMultiplyReshaped>; @@ -184,108 +173,6 @@ const auto broadcast_bias_values = framework::dataset::make("broadcast_bias", { /** LHS transposed values */ const auto lhs_transpose_values = framework::dataset::make("lhs_transpose", { false, true } ); -/** Post Ops */ -using PostOpArgBroadcast = CLGEMMMatrixMultiplyReshapedWithPostOpsFixture<float>::PostOpArgBroadcast; -experimental::PostOpList<PostOpArgBroadcast> post_ops_1() -{ - experimental::PostOpList<PostOpArgBroadcast> post_ops{}; - post_ops.push_back_op<experimental::PostOpAct<PostOpArgBroadcast>>(ActivationLayerInfo{ActivationLayerInfo::ActivationFunction::LINEAR, 0.5F, 0.0F}); - post_ops.push_back_op<experimental::PostOpEltwiseAdd<PostOpArgBroadcast>>( - std::make_tuple(true, true, false), // If broadcast in dims 0, 1 and 2 - 0, - ConvertPolicy::SATURATE); - post_ops.push_back_op<experimental::PostOpAct<PostOpArgBroadcast>>(ActivationLayerInfo{ActivationLayerInfo::ActivationFunction::RELU, 2.1F, 1.3F}); - return post_ops; -} -experimental::PostOpList<PostOpArgBroadcast> post_ops_2() -{ - experimental::PostOpList<PostOpArgBroadcast> post_ops{}; - post_ops.push_back_op<experimental::PostOpEltwiseAdd<PostOpArgBroadcast>>( - std::make_tuple(false, true, true), // If broadcast in dims 0, 1 and 2 - 1, - ConvertPolicy::SATURATE); - post_ops.push_back_op<experimental::PostOpAct<PostOpArgBroadcast>>(ActivationLayerInfo{ActivationLayerInfo::ActivationFunction::RELU, 2.1F, 1.3F}); - return post_ops; -} -experimental::PostOpList<PostOpArgBroadcast> post_ops_3() -{ - experimental::PostOpList<PostOpArgBroadcast> post_ops{}; - post_ops.push_back_op<experimental::PostOpAct<PostOpArgBroadcast>>(ActivationLayerInfo{ActivationLayerInfo::ActivationFunction::RELU, 2.1F, 1.3F}); - post_ops.push_back_op<experimental::PostOpEltwiseAdd<PostOpArgBroadcast>>( - std::make_tuple(false, false, true), // If broadcast in dims 0, 1 and 2 - 1, - ConvertPolicy::SATURATE); - return post_ops; -} -// To test that the output of the main op is the first parameter in prelu post op -experimental::PostOpList<PostOpArgBroadcast> post_ops_4() -{ - experimental::PostOpList<PostOpArgBroadcast> post_ops{}; - post_ops.push_back_op<experimental::PostOpAct<PostOpArgBroadcast>>(ActivationLayerInfo{ActivationLayerInfo::ActivationFunction::LINEAR, 0.5F, 0.0F}); - post_ops.push_back_op<experimental::PostOpEltwisePRelu<PostOpArgBroadcast>>( - std::make_tuple(false, false, true), // If true, broadcast in corresponding dim: 0, 1 or 2 - 0, - ConvertPolicy::SATURATE); - post_ops.push_back_op<experimental::PostOpAct<PostOpArgBroadcast>>(ActivationLayerInfo{ActivationLayerInfo::ActivationFunction::RELU, 2.1F, 1.3F}); - return post_ops; -} -// To test that the output of the main op is the second parameter in prelu post op i.e. it is the alpha_param -experimental::PostOpList<PostOpArgBroadcast> post_ops_5() -{ - experimental::PostOpList<PostOpArgBroadcast> post_ops{}; - post_ops.push_back_op<experimental::PostOpAct<PostOpArgBroadcast>>(ActivationLayerInfo{ActivationLayerInfo::ActivationFunction::LINEAR, 0.5F, 0.0F}); - post_ops.push_back_op<experimental::PostOpEltwisePRelu<PostOpArgBroadcast>>( - std::make_tuple(false, false, false), // If true, broadcast in corresponding dim: 0, 1 or 2 - 1, - ConvertPolicy::SATURATE); - post_ops.push_back_op<experimental::PostOpAct<PostOpArgBroadcast>>(ActivationLayerInfo{ActivationLayerInfo::ActivationFunction::RELU, 2.1F, 1.3F}); - return post_ops; -} -/** Different Post Op Lists */ -const auto post_op_lists = framework::dataset::make("post_op_lists", { - post_ops_1(), - post_ops_2(), - post_ops_3(), - post_ops_4(), - post_ops_5() - } ); - -bool is_post_op_list_valid(unsigned int m, unsigned int n, unsigned int k, unsigned int batch, DataType data_type, const experimental::PostOpList<ITensorInfo*>& post_ops) -{ - const auto lhs_info = GEMMLHSMatrixInfo(4,4,1,false,true); - const auto rhs_info = GEMMRHSMatrixInfo(4,4,1,true,true,false); - - // Create TensorInfo for post op arguments - TensorInfo input0_info(TensorShape(k, m, batch), 1, data_type); - TensorInfo input1_info(TensorShape(n, k, batch), 1, data_type); - TensorInfo input2_info(TensorShape(n), 1, data_type); - TensorInfo output_info(TensorShape(n, m, batch), 1, data_type); - - const TensorInfo reshaped_input0_info = input0_info.clone()->set_tensor_shape(misc::shape_calculator::compute_lhs_reshaped_shape(input0_info, lhs_info)); - const TensorInfo reshaped_input1_info = input1_info.clone()->set_tensor_shape(misc::shape_calculator::compute_rhs_reshaped_shape(input1_info, rhs_info)); - - GEMMKernelInfo gemm_info(m, n, k, 0 /**< Depth of the output tensor in case is reinterpreted as 3D */, - false /**< reinterpret the input as 3D */, - true /**< Flag used to broadcast the bias addition */, - false /**< wider accumm */, - false /**< has pad y */, - ActivationLayerInfo::ActivationFunction::IDENTITY, - 1 /**< Multiplication factor for the width of the 1xW transposed block */, - 1 /**< Multiplication factor for the height of the 4x4 interleaved block */, - lhs_info, - rhs_info, - 0 /**< Offset to be added to each element of the matrix A */, - 0 /**< Offset to be added to each element of the matrix B */, - post_ops); - return bool(ClGemmMatrixMultiplyReshapedKernel::validate(&reshaped_input0_info.clone()->set_is_resizable(true), - &reshaped_input1_info.clone()->set_is_resizable(true), - &input2_info.clone()->set_is_resizable(true), - &output_info.clone()->set_is_resizable(true),1.f,1.f, - lhs_info, - rhs_info, - gemm_info)); -} - } // namespace TEST_SUITE(CL) @@ -450,119 +337,7 @@ DATA_TEST_CASE(Validate, framework::DatasetMode::ALL, zip(zip(zip(zip(zip(zip(zi rhs_info, gemm_info)) == expected, framework::LogLevel::ERRORS); } -TEST_SUITE(ValidateFusedPostOpsConfigs) -TEST_SUITE(Invalid) -TEST_CASE(UnsupportedPostOpSequence, framework::DatasetMode::ALL) -{ - const auto data_type = DataType::F32; - const unsigned int m = 17; - const unsigned int n = 1; - const unsigned int k = 13; - const unsigned int batch = 2; - TensorShape post_op_arg0_shape(n, m, batch); - TensorInfo post_op_arg_info(post_op_arg0_shape, 1, data_type); - auto post_op_arg1_info = post_op_arg_info.clone(); - - // Unsupported sequence of post ops - experimental::PostOpList<ITensorInfo*> post_ops{}; - post_ops.push_back_op<experimental::PostOpEltwiseAdd<ITensorInfo*>>( - &post_op_arg_info, - 1, - ConvertPolicy::SATURATE); - post_ops.push_back_op<experimental::PostOpEltwiseAdd<ITensorInfo*>>( - post_op_arg1_info.get(), - 0, - ConvertPolicy::SATURATE); - - ARM_COMPUTE_EXPECT(is_post_op_list_valid(m, n, k, batch, data_type, post_ops) == false, framework::LogLevel::ERRORS); -} -TEST_CASE(OutputWidened, framework::DatasetMode::ALL) -{ - // Invalid broadcast: post op tensors "widen" the output tensor - const auto data_type = DataType::F32; - const unsigned int m = 17; - const unsigned int n = 1; - const unsigned int k = 13; - const unsigned int batch = 2; - TensorShape post_op_arg_shape(n + 4, m, batch); // output's X dimension (n) is "widened", which is not allowed - TensorInfo post_op_arg_info(post_op_arg_shape, 1, data_type); - experimental::PostOpList<ITensorInfo*> post_ops{}; - post_ops.push_back_op<experimental::PostOpEltwiseAdd<ITensorInfo*>>( &post_op_arg_info, 0, ConvertPolicy::SATURATE); - - ARM_COMPUTE_EXPECT(is_post_op_list_valid(m, n, k, batch, data_type, post_ops) == false, framework::LogLevel::ERRORS); -} -TEST_CASE(BroadcastInXDimOnly, framework::DatasetMode::ALL) -{ - // Invalid broadcast: post op tensors broadcast in the first dimension (X) only - const auto data_type = DataType::F32; - const unsigned int m = 22; - const unsigned int n = 16; - const unsigned int k = 15; - const unsigned int batch = 3; - TensorShape post_op_arg_shape(1, m, batch); - TensorInfo post_op_arg_info(post_op_arg_shape, 1, data_type); - experimental::PostOpList<ITensorInfo*> post_ops{}; - post_ops.push_back_op<experimental::PostOpEltwiseAdd<ITensorInfo*>>( &post_op_arg_info, 0, ConvertPolicy::SATURATE); - - ARM_COMPUTE_EXPECT(is_post_op_list_valid(m, n, k, batch, data_type, post_ops) == false, framework::LogLevel::ERRORS); -} -TEST_SUITE_END() // Invalid -TEST_SUITE(Valid) -TEST_CASE(EmptyPostOpList, framework::DatasetMode::ALL) -{ - const auto data_type = DataType::F32; - const unsigned int m = 22; - const unsigned int n = 16; - const unsigned int k = 15; - const unsigned int batch = 3; - experimental::PostOpList<ITensorInfo*> post_ops{}; - - ARM_COMPUTE_EXPECT(is_post_op_list_valid(m, n, k, batch, data_type, post_ops) == true, framework::LogLevel::ERRORS); -} -TEST_CASE(BroadcastInYDimOnly, framework::DatasetMode::ALL) -{ - const auto data_type = DataType::F32; - const unsigned int m = 22; - const unsigned int n = 16; - const unsigned int k = 15; - const unsigned int batch = 3; - TensorShape post_op_arg_shape(n, 1, batch); - TensorInfo post_op_arg_info(post_op_arg_shape, 1, data_type); - experimental::PostOpList<ITensorInfo*> post_ops{}; - post_ops.push_back_op<experimental::PostOpEltwiseAdd<ITensorInfo*>>( &post_op_arg_info, 0, ConvertPolicy::SATURATE); - - ARM_COMPUTE_EXPECT(is_post_op_list_valid(m, n, k, batch, data_type, post_ops) == true, framework::LogLevel::ERRORS); -} -TEST_CASE(BroadcastInBothXandYDims, framework::DatasetMode::ALL) -{ - const auto data_type = DataType::F32; - const unsigned int m = 22; - const unsigned int n = 16; - const unsigned int k = 15; - const unsigned int batch = 3; - TensorShape post_op_arg_shape(1, 1, batch); - TensorInfo post_op_arg_info(post_op_arg_shape, 1, data_type); - experimental::PostOpList<ITensorInfo*> post_ops{}; - post_ops.push_back_op<experimental::PostOpEltwiseAdd<ITensorInfo*>>( &post_op_arg_info, 0, ConvertPolicy::SATURATE); - - ARM_COMPUTE_EXPECT(is_post_op_list_valid(m, n, k, batch, data_type, post_ops) == true, framework::LogLevel::ERRORS); -} -TEST_CASE(BroadcastInAllDims, framework::DatasetMode::ALL) -{ - const auto data_type = DataType::F32; - const unsigned int m = 22; - const unsigned int n = 16; - const unsigned int k = 15; - const unsigned int batch = 3; - TensorShape post_op_arg_shape(1, 1, 1); - TensorInfo post_op_arg_info(post_op_arg_shape, 1, data_type); - experimental::PostOpList<ITensorInfo*> post_ops{}; - post_ops.push_back_op<experimental::PostOpEltwiseAdd<ITensorInfo*>>( &post_op_arg_info, 0, ConvertPolicy::SATURATE); - - ARM_COMPUTE_EXPECT(is_post_op_list_valid(m, n, k, batch, data_type, post_ops) == true, framework::LogLevel::ERRORS); -} -TEST_SUITE_END() // Valid -TEST_SUITE_END() // ValidateFusedPostOps + TEST_SUITE(Float) TEST_SUITE(FP32) @@ -697,44 +472,6 @@ FIXTURE_DATA_TEST_CASE(RunLarge3D, CLGEMMMatrixMultiplyReshaped3DFixture<float>, framework::ARM_COMPUTE_PRINT_INFO(); } } -TEST_SUITE(FusedPostOps) - -FIXTURE_DATA_TEST_CASE(RunSmall, CLGEMMMatrixMultiplyReshapedWithPostOpsFixture<float>, framework::DatasetMode::ALL, - combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine( - m_values, - n_values), - k_values), - b_values), - m0_values_precommit), - n0_values_precommit), - k0_values_precommit), - v0_values_precommit), - h0_values_precommit), - framework::dataset::make("interleave_lhs", { false })), - framework::dataset::make("interleave_rhs", { false })), - framework::dataset::make("export_to_cl_image_rhs", false)), - framework::dataset::make("DataType", DataType::F32)), - a_values_precommit), - beta_values_precommit), - framework::dataset::make("broadcast_bias", { true } )), - lhs_transpose_values), - act_values), - post_op_lists) - ) -{ - // Validate output - if(validate_result) - { - validate(CLAccessor(_target), _reference, rel_tolerance_f32, 0.f, abs_tolerance_f32); - } - else - { - ARM_COMPUTE_TEST_INFO("cl_khr_image2d_from_buffer not supported. TEST skipped"); - framework::ARM_COMPUTE_PRINT_INFO(); - } -} - -TEST_SUITE_END() // FusedPostOps TEST_SUITE(ExportToCLImage) DATA_TEST_CASE(Validate, framework::DatasetMode::ALL, zip(zip(zip(zip(zip(zip(zip( @@ -1002,44 +739,6 @@ FIXTURE_DATA_TEST_CASE(RunLarge3D, CLGEMMMatrixMultiplyReshaped3DFixture<float>, framework::ARM_COMPUTE_PRINT_INFO(); } } -TEST_SUITE(FusedPostOps) - -FIXTURE_DATA_TEST_CASE(RunSmall, CLGEMMMatrixMultiplyReshapedWithPostOpsFixture<float>, framework::DatasetMode::ALL, - combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine( - m_values, - n_values), - k_values), - b_values), - m0_values_precommit), - n0_values_precommit), - k0_values_precommit), - v0_values_precommit), - h0_values_precommit), - framework::dataset::make("interleave_lhs", { false })), - framework::dataset::make("interleave_rhs", { false })), - framework::dataset::make("export_to_cl_image_rhs", true)), - framework::dataset::make("DataType", DataType::F32)), - a_values_precommit), - beta_values_precommit), - framework::dataset::make("broadcast_bias", { true } )), - lhs_transpose_values), - act_values), - post_op_lists) - ) -{ - // Validate output only if validate() is successful - if(validate_result) - { - validate(CLAccessor(_target), _reference, rel_tolerance_f32, 0.f, abs_tolerance_f32); - } - else - { - ARM_COMPUTE_TEST_INFO("cl_khr_image2d_from_buffer not supported. TEST skipped"); - framework::ARM_COMPUTE_PRINT_INFO(); - } -} - -TEST_SUITE_END() // FusedPostOps TEST_SUITE_END() // ExportToCLImage TEST_SUITE_END() // FP32 @@ -1178,45 +877,6 @@ FIXTURE_DATA_TEST_CASE(RunLarge3D, CLGEMMMatrixMultiplyReshaped3DFixture<half>, } } -TEST_SUITE(FusedPostOps) - -FIXTURE_DATA_TEST_CASE(RunSmall, CLGEMMMatrixMultiplyReshapedWithPostOpsFixture<half>, framework::DatasetMode::ALL, - combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine( - m_values, - n_values), - k_values), - b_values), - m0_values_precommit), - n0_values_precommit), - k0_values_precommit), - v0_values_precommit), - h0_values_precommit), - framework::dataset::make("interleave_lhs", { false })), - framework::dataset::make("interleave_rhs", { false })), - framework::dataset::make("export_to_cl_image_rhs", false)), - framework::dataset::make("DataType", DataType::F16)), - a_values_precommit), - beta_values_precommit), - framework::dataset::make("broadcast_bias", { true } )), - lhs_transpose_values), - act_values), - post_op_lists) - ) -{ - // Validate output - if(validate_result) - { - validate(CLAccessor(_target), _reference, rel_tolerance_f16, 0.f, abs_tolerance_f16); - } - else - { - ARM_COMPUTE_TEST_INFO("cl_khr_image2d_from_buffer not supported. TEST skipped"); - framework::ARM_COMPUTE_PRINT_INFO(); - } -} - -TEST_SUITE_END() // FusedPostOps - TEST_SUITE(ExportToCLImage) DATA_TEST_CASE(Validate, framework::DatasetMode::ALL, zip(zip(zip(zip(zip(zip(zip( framework::dataset::make("Input0Info", { TensorInfo(TensorShape(256U, 16U, 2U), 1, DataType::F16), // OK or incorrect if cl_khr_image2d_from_buffer not supported @@ -1483,44 +1143,6 @@ FIXTURE_DATA_TEST_CASE(RunLarge3D, CLGEMMMatrixMultiplyReshaped3DFixture<half>, framework::ARM_COMPUTE_PRINT_INFO(); } } -TEST_SUITE(FusedPostOps) - -FIXTURE_DATA_TEST_CASE(RunSmall, CLGEMMMatrixMultiplyReshapedWithPostOpsFixture<half>, framework::DatasetMode::ALL, - combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine( - m_values, - n_values), - k_values), - b_values), - m0_values_precommit), - n0_values_precommit), - k0_values_precommit), - v0_values_precommit), - h0_values_precommit), - framework::dataset::make("interleave_lhs", { false })), - framework::dataset::make("interleave_rhs", { false })), - framework::dataset::make("export_to_cl_image_rhs", true)), - framework::dataset::make("DataType", DataType::F16)), - a_values_precommit), - beta_values_precommit), - framework::dataset::make("broadcast_bias", { true } )), - lhs_transpose_values), - act_values), - post_op_lists) - ) -{ - // Validate output only if validate() is successful - if(validate_result) - { - validate(CLAccessor(_target), _reference, rel_tolerance_f16, 0.f, abs_tolerance_f16); - } - else - { - ARM_COMPUTE_TEST_INFO("cl_khr_image2d_from_buffer not supported. TEST skipped"); - framework::ARM_COMPUTE_PRINT_INFO(); - } -} - -TEST_SUITE_END() // FusedPostOps TEST_SUITE_END() // ExportToCLImage TEST_SUITE_END() // FP16 @@ -1659,45 +1281,6 @@ FIXTURE_DATA_TEST_CASE(RunLarge3D, CLGEMMMatrixMultiplyReshaped3DMixedPrecisionF } } -TEST_SUITE(FusedPostOps) - -FIXTURE_DATA_TEST_CASE(RunSmall, CLGEMMMatrixMultiplyReshapedMixedPrecisionWithPostOpsFixture<half>, framework::DatasetMode::ALL, - combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine(combine( - m_values, - n_values), - k_values), - b_values), - m0_values_precommit), - n0_values_precommit), - k0_values_precommit), - v0_values_precommit), - h0_values_precommit), - framework::dataset::make("interleave_lhs", { false })), - framework::dataset::make("interleave_rhs", { false })), - framework::dataset::make("export_to_cl_image_rhs", { true, false })), - framework::dataset::make("DataType", DataType::F16)), - a_values_precommit), - beta_values_precommit), - framework::dataset::make("broadcast_bias", { true } )), - lhs_transpose_values), - act_values), - post_op_lists) - ) -{ - // Validate output - if(validate_result) - { - validate(CLAccessor(_target), _reference, rel_tolerance_f16_mixed_precision, 0.f, abs_tolerance_f16_mixed_precision); - } - else - { - ARM_COMPUTE_TEST_INFO("cl_khr_image2d_from_buffer not supported. TEST skipped"); - framework::ARM_COMPUTE_PRINT_INFO(); - } -} - -TEST_SUITE_END() // FusedPostOps - TEST_SUITE_END() // MixedPrecision TEST_SUITE_END() // Float TEST_SUITE_END() // GEMMMatrixMultiplyReshaped |