├── .clang-format ├── .codedocs ├── .color_coded ├── .github └── workflows │ └── make.yml ├── .gitignore ├── .gitmodules ├── ChangeLog.rst ├── Doxyfile ├── Implementation.rst ├── Jenkinsfile ├── LICENSE ├── Makefile ├── README.rst ├── benchmark ├── include │ ├── benchmark.hpp │ ├── benchmark_conv.hpp │ └── benchmark_gemm.hpp └── src │ ├── benchmark.cpp │ ├── benchmark_base.cpp │ ├── benchmark_batch_hint.cpp │ ├── benchmark_cdbn.cpp │ ├── benchmark_conv.cpp │ ├── benchmark_conv_extended.cpp │ ├── benchmark_fft.cpp │ ├── benchmark_gemm.cpp │ ├── benchmark_pool.cpp │ ├── benchmark_thesis.cpp │ └── benchmark_trigo.cpp ├── compile_commands.json ├── include └── etl │ ├── adapters.hpp │ ├── adapters │ ├── adapter.hpp │ ├── diagonal.hpp │ ├── diagonal_exception.hpp │ ├── diagonal_reference.hpp │ ├── hermitian.hpp │ ├── hermitian_reference.hpp │ ├── lower.hpp │ ├── lower_exception.hpp │ ├── lower_reference.hpp │ ├── strictly_lower.hpp │ ├── strictly_lower_exception.hpp │ ├── strictly_lower_reference.hpp │ ├── strictly_upper.hpp │ ├── strictly_upper_exception.hpp │ ├── strictly_upper_reference.hpp │ ├── symmetric.hpp │ ├── symmetric_reference.hpp │ ├── uni_lower.hpp │ ├── uni_lower_exception.hpp │ ├── uni_lower_reference.hpp │ ├── uni_upper.hpp │ ├── uni_upper_exception.hpp │ ├── uni_upper_reference.hpp │ ├── upper.hpp │ ├── upper_exception.hpp │ └── upper_reference.hpp │ ├── allocator.hpp │ ├── avx512_vectorization.hpp │ ├── avx_exp.hpp │ ├── avx_vectorization.hpp │ ├── batch_softmax_impl.hpp │ ├── bce_impl.hpp │ ├── bias_add_impl.hpp │ ├── builder │ ├── batch_hint_builder.hpp │ ├── binary_expression_builder.hpp │ ├── conv_expression_builder.hpp │ ├── expression_builder.hpp │ ├── function_expression_builder.hpp │ ├── ml_expression_builder.hpp │ ├── mul_expression_builder.hpp │ ├── view_expression_builder.hpp │ └── wrapper_expression_builder.hpp │ ├── cce_impl.hpp │ ├── checks.hpp │ ├── complex.hpp │ ├── concepts.hpp │ ├── concepts_base.hpp │ ├── config.hpp │ ├── config_impl.hpp │ ├── context.hpp │ ├── conv_impl.hpp │ ├── crtp │ ├── assignable.hpp │ ├── dim_testable.hpp │ ├── expression_able.hpp │ ├── inplace_assignable.hpp │ ├── iterable.hpp │ └── value_testable.hpp │ ├── custom_dyn.hpp │ ├── custom_fast.hpp │ ├── deserializer.hpp │ ├── direct_fill.hpp │ ├── dot_impl.hpp │ ├── duration.hpp │ ├── dyn.hpp │ ├── dyn_base.hpp │ ├── etl.hpp │ ├── etl_light.hpp │ ├── eval_selectors.hpp │ ├── eval_visitors.hpp │ ├── evaluator.hpp │ ├── exit.hpp │ ├── expr │ ├── base_temporary_expr.hpp │ ├── batch_embedding_gradients_expr.hpp │ ├── batch_embedding_lookup_expr.hpp │ ├── batch_k_minus_scale_expr.hpp │ ├── batch_k_scale_expr.hpp │ ├── batch_k_scale_plus_expr.hpp │ ├── batch_outer_product_expr.hpp │ ├── batch_softmax_expr.hpp │ ├── bias_add_2d_expr.hpp │ ├── bias_add_4d_expr.hpp │ ├── bias_batch_mean_2d_expr.hpp │ ├── bias_batch_mean_4d_expr.hpp │ ├── bias_batch_var_2d_expr.hpp │ ├── bias_batch_var_4d_expr.hpp │ ├── binary_expr.hpp │ ├── conv_1d_full_expr.hpp │ ├── conv_1d_same_expr.hpp │ ├── conv_1d_valid_expr.hpp │ ├── conv_2d_backward_expr.hpp │ ├── conv_2d_full_deep_expr.hpp │ ├── conv_2d_full_expr.hpp │ ├── conv_2d_full_multi_expr.hpp │ ├── conv_2d_same_deep_expr.hpp │ ├── conv_2d_same_expr.hpp │ ├── conv_2d_same_multi_expr.hpp │ ├── conv_2d_valid_deep_expr.hpp │ ├── conv_2d_valid_expr.hpp │ ├── conv_2d_valid_multi_expr.hpp │ ├── conv_2d_valid_multi_multi_expr.hpp │ ├── conv_4d_backward_expr.hpp │ ├── conv_4d_backward_filter_expr.hpp │ ├── conv_4d_full_expr.hpp │ ├── conv_4d_valid_back_expr.hpp │ ├── conv_4d_valid_expr.hpp │ ├── conv_4d_valid_filter_expr.hpp │ ├── convmtx_2d_expr.hpp │ ├── dyn_conv_2d_backward_expr.hpp │ ├── dyn_conv_2d_valid_expr.hpp │ ├── dyn_conv_2d_valid_multi_expr.hpp │ ├── dyn_conv_2d_valid_multi_multi_expr.hpp │ ├── dyn_conv_4d_backward_expr.hpp │ ├── dyn_conv_4d_backward_filter_expr.hpp │ ├── dyn_conv_4d_valid_back_expr.hpp │ ├── dyn_conv_4d_valid_expr.hpp │ ├── dyn_conv_4d_valid_filter_expr.hpp │ ├── dyn_pool_2d_expr.hpp │ ├── dyn_pool_3d_expr.hpp │ ├── dyn_pool_derivative_expr.hpp │ ├── dyn_pool_upsample_2d_expr.hpp │ ├── dyn_pool_upsample_3d_expr.hpp │ ├── dyn_prob_pool_2d_expr.hpp │ ├── dyn_upsample_2d_expr.hpp │ ├── dyn_upsample_3d_expr.hpp │ ├── embedding_gradients_expr.hpp │ ├── embedding_lookup_expr.hpp │ ├── fft_expr.hpp │ ├── gemm_expr.hpp │ ├── gemv_expr.hpp │ ├── generator_expr.hpp │ ├── gevm_expr.hpp │ ├── inv_expr.hpp │ ├── optimized_expr.hpp │ ├── outer_product_expr.hpp │ ├── parallel_expr.hpp │ ├── pool_2d_expr.hpp │ ├── pool_3d_expr.hpp │ ├── pool_derivative_expr.hpp │ ├── pool_upsample_2d_expr.hpp │ ├── pool_upsample_3d_expr.hpp │ ├── prob_pool_2d_expr.hpp │ ├── selected_expr.hpp │ ├── serial_expr.hpp │ ├── timed_expr.hpp │ ├── transpose_expr.hpp │ ├── transpose_front_expr.hpp │ ├── unary_expr.hpp │ ├── upsample_2d_expr.hpp │ └── upsample_3d_expr.hpp │ ├── expr_fwd.hpp │ ├── expression_helpers.hpp │ ├── fast.hpp │ ├── fast_base.hpp │ ├── fft_impl.hpp │ ├── gemm_impl.hpp │ ├── globals.hpp │ ├── gpu_dyn.hpp │ ├── gpu_handler.hpp │ ├── helpers.hpp │ ├── impl │ ├── avg_pooling_derivative.hpp │ ├── bce.hpp │ ├── blas │ │ ├── blas.hpp │ │ ├── dot.hpp │ │ ├── fft.hpp │ │ ├── gemm.hpp │ │ ├── outer.hpp │ │ ├── sum.hpp │ │ └── transpose.hpp │ ├── cce.hpp │ ├── common │ │ └── conv.hpp │ ├── conv.hpp │ ├── conv_2d.hpp │ ├── conv_4d.hpp │ ├── conv_4d_select.hpp │ ├── conv_deep.hpp │ ├── conv_multi.hpp │ ├── conv_multi_select.hpp │ ├── conv_normal_select.hpp │ ├── conv_select.hpp │ ├── cublas │ │ ├── axpy.hpp │ │ ├── cublas.hpp │ │ ├── cuda.hpp │ │ ├── cuda_memory.hpp │ │ ├── dot.hpp │ │ ├── gemm.hpp │ │ ├── outer.hpp │ │ ├── scal.hpp │ │ ├── sum.hpp │ │ └── transpose.hpp │ ├── cudnn │ │ ├── bias_add.hpp │ │ ├── bias_batch_mean.hpp │ │ ├── cache.hpp │ │ ├── conv.hpp │ │ ├── cudnn.hpp │ │ ├── max_pooling.hpp │ │ ├── pooling_upsample.hpp │ │ └── sigmoid.hpp │ ├── cufft │ │ ├── cufft.hpp │ │ └── fft.hpp │ ├── curand │ │ └── curand.hpp │ ├── decomposition.hpp │ ├── det.hpp │ ├── dot.hpp │ ├── egblas │ │ ├── abs.hpp │ │ ├── and.hpp │ │ ├── apxdbpy.hpp │ │ ├── apxdbpy_3.hpp │ │ ├── apxdby.hpp │ │ ├── apxdby_3.hpp │ │ ├── axdbpy.hpp │ │ ├── axdbpy_3.hpp │ │ ├── axdy.hpp │ │ ├── axdy_3.hpp │ │ ├── axmy.hpp │ │ ├── axmy_3.hpp │ │ ├── axpby.hpp │ │ ├── axpby_3.hpp │ │ ├── axpy.hpp │ │ ├── axpy_3.hpp │ │ ├── batch_k_scale.hpp │ │ ├── bce.hpp │ │ ├── bernoulli.hpp │ │ ├── bias_add.hpp │ │ ├── bias_batch_sum.hpp │ │ ├── cbrt.hpp │ │ ├── cce.hpp │ │ ├── ceil.hpp │ │ ├── clip.hpp │ │ ├── clip_value.hpp │ │ ├── conj.hpp │ │ ├── conv_1d.hpp │ │ ├── cos.hpp │ │ ├── cosh.hpp │ │ ├── dropout.hpp │ │ ├── equal.hpp │ │ ├── exp.hpp │ │ ├── floor.hpp │ │ ├── greater.hpp │ │ ├── greater_equal.hpp │ │ ├── imag.hpp │ │ ├── invcbrt.hpp │ │ ├── invsqrt.hpp │ │ ├── less.hpp │ │ ├── less_equal.hpp │ │ ├── log.hpp │ │ ├── log10.hpp │ │ ├── log2.hpp │ │ ├── logistic_noise.hpp │ │ ├── max.hpp │ │ ├── min.hpp │ │ ├── minus.hpp │ │ ├── mse.hpp │ │ ├── not_equal.hpp │ │ ├── one_if_max_sub.hpp │ │ ├── or.hpp │ │ ├── pow.hpp │ │ ├── pow_yx.hpp │ │ ├── real.hpp │ │ ├── relu_der_out.hpp │ │ ├── scalar_add.hpp │ │ ├── scalar_div.hpp │ │ ├── scalar_mul.hpp │ │ ├── scalar_set.hpp │ │ ├── shuffle.hpp │ │ ├── sigmoid.hpp │ │ ├── sign.hpp │ │ ├── sin.hpp │ │ ├── sinh.hpp │ │ ├── softplus.hpp │ │ ├── sqrt.hpp │ │ ├── tan.hpp │ │ ├── tanh.hpp │ │ ├── transpose_front.hpp │ │ └── xor.hpp │ ├── fft.hpp │ ├── inv.hpp │ ├── max_pooling_derivative.hpp │ ├── mse.hpp │ ├── norm.hpp │ ├── pooling.hpp │ ├── prob_pooling.hpp │ ├── std │ │ ├── avg_pooling.hpp │ │ ├── avg_pooling_upsample.hpp │ │ ├── bce.hpp │ │ ├── bias_add.hpp │ │ ├── cce.hpp │ │ ├── conv.hpp │ │ ├── convmtx2.hpp │ │ ├── decomposition.hpp │ │ ├── det.hpp │ │ ├── dot.hpp │ │ ├── fft.hpp │ │ ├── gemm.hpp │ │ ├── inv.hpp │ │ ├── max_pooling.hpp │ │ ├── max_pooling_upsample.hpp │ │ ├── mse.hpp │ │ ├── norm.hpp │ │ ├── outer.hpp │ │ ├── strassen_mmul.hpp │ │ ├── sum.hpp │ │ ├── transpose.hpp │ │ └── upsample.hpp │ ├── sum.hpp │ ├── transpose.hpp │ └── vec │ │ ├── bias_add.hpp │ │ ├── conv.hpp │ │ ├── conv_3x4.hpp │ │ ├── conv_3x8.hpp │ │ ├── conv_5x8.hpp │ │ ├── conv_8x8.hpp │ │ ├── conv_full.hpp │ │ ├── conv_nx16.hpp │ │ ├── conv_nx8.hpp │ │ ├── conv_same.hpp │ │ ├── conv_valid_1d.hpp │ │ ├── conv_valid_2d.hpp │ │ ├── conv_valid_4d.hpp │ │ ├── conv_valid_kernels.hpp │ │ ├── dot.hpp │ │ ├── gemm.hpp │ │ ├── gemm_blis.hpp │ │ ├── gemm_cc_to_c.hpp │ │ ├── gemm_conv.hpp │ │ ├── gemm_cr_to_c.hpp │ │ ├── gemm_cr_to_r.hpp │ │ ├── gemm_rc_to_c.hpp │ │ ├── gemm_rc_to_r.hpp │ │ ├── gemm_rr_to_r.hpp │ │ ├── gemv.hpp │ │ ├── gevm.hpp │ │ ├── outer.hpp │ │ ├── sum.hpp │ │ └── transpose.hpp │ ├── impl_enums.hpp │ ├── index.hpp │ ├── inline.hpp │ ├── iterator.hpp │ ├── linear_eval_functors.hpp │ ├── math.hpp │ ├── memory.hpp │ ├── mse_impl.hpp │ ├── namespaces.hpp │ ├── no_vectorization.hpp │ ├── op │ ├── binary │ │ ├── div.hpp │ │ ├── equal.hpp │ │ ├── greater.hpp │ │ ├── greater_equal.hpp │ │ ├── less.hpp │ │ ├── less_equal.hpp │ │ ├── logical_and.hpp │ │ ├── logical_or.hpp │ │ ├── logical_xor.hpp │ │ ├── max.hpp │ │ ├── min.hpp │ │ ├── minus.hpp │ │ ├── mod.hpp │ │ ├── mul.hpp │ │ ├── not_equal.hpp │ │ ├── one_if.hpp │ │ ├── plus.hpp │ │ ├── pow.hpp │ │ ├── ranged_noise.hpp │ │ ├── relu_derivative.hpp │ │ └── sigmoid_derivative.hpp │ ├── binary_op.hpp │ ├── dim_view.hpp │ ├── dyn_matrix_view.hpp │ ├── fast_matrix_view.hpp │ ├── flip_transformers.hpp │ ├── generators.hpp │ ├── generators │ │ ├── dropout_mask.hpp │ │ ├── inverted_dropout_mask.hpp │ │ ├── normal.hpp │ │ ├── sequence.hpp │ │ ├── state_dropout_mask.hpp │ │ ├── state_inverted_dropout_mask.hpp │ │ ├── truncated_normal.hpp │ │ └── uniform.hpp │ ├── memory_slice_view.hpp │ ├── reduc_transformers.hpp │ ├── rep_transformers.hpp │ ├── scalar.hpp │ ├── slice_view.hpp │ ├── sub_matrix_2d.hpp │ ├── sub_matrix_3d.hpp │ ├── sub_matrix_4d.hpp │ ├── sub_view.hpp │ ├── transformers.hpp │ ├── unary │ │ ├── abs.hpp │ │ ├── bernoulli.hpp │ │ ├── cbrt.hpp │ │ ├── ceil.hpp │ │ ├── clip.hpp │ │ ├── conj.hpp │ │ ├── cos.hpp │ │ ├── cosh.hpp │ │ ├── exp.hpp │ │ ├── floor.hpp │ │ ├── imag.hpp │ │ ├── invcbrt.hpp │ │ ├── invsqrt.hpp │ │ ├── log.hpp │ │ ├── log10.hpp │ │ ├── log2.hpp │ │ ├── minus.hpp │ │ ├── noise.hpp │ │ ├── plus.hpp │ │ ├── real.hpp │ │ ├── relu.hpp │ │ ├── relu_derivative.hpp │ │ ├── sigmoid.hpp │ │ ├── sign.hpp │ │ ├── sin.hpp │ │ ├── sinh.hpp │ │ ├── softplus.hpp │ │ ├── sqrt.hpp │ │ ├── tan.hpp │ │ └── tanh.hpp │ ├── unary_op.hpp │ └── virtual_views.hpp │ ├── optimizer.hpp │ ├── order.hpp │ ├── outer_impl.hpp │ ├── parallel_session.hpp │ ├── parallel_support.hpp │ ├── pool_impl.hpp │ ├── print.hpp │ ├── random.hpp │ ├── restrict.hpp │ ├── serializer.hpp │ ├── sparse.hpp │ ├── sparse_storage.hpp │ ├── sse_exp.hpp │ ├── sse_vectorization.hpp │ ├── std.hpp │ ├── stop.hpp │ ├── sum_impl.hpp │ ├── temporary.hpp │ ├── thread_engine.hpp │ ├── threshold.hpp │ ├── tmp.hpp │ ├── traits.hpp │ ├── traits_base.hpp │ ├── transpose_impl.hpp │ ├── util │ ├── aligned_vector.hpp │ ├── complex_cast.hpp │ ├── counters.hpp │ ├── safe_cast.hpp │ └── variadic.hpp │ ├── value_fwd.hpp │ ├── vec_eval_functors.hpp │ ├── vectorization.hpp │ └── wrapper_traits.hpp ├── logo.png ├── logo_small.png ├── scripts ├── bench_config.sh ├── bench_config_gpu.sh ├── bench_parallel.sh ├── bench_runner.sh ├── debug_compile.sh ├── release_debug_compile.sh ├── test_runner.sh └── test_runner_ci.sh ├── sonar-project.properties ├── test ├── include │ ├── bias_test.hpp │ ├── catch_complex_approx.hpp │ ├── compat.hpp │ ├── conv_test.hpp │ ├── dot_test.hpp │ ├── fft_test.hpp │ ├── mmul_test.hpp │ ├── pool_3d_test.hpp │ ├── pool_test.hpp │ ├── sum_test.hpp │ ├── template_test.hpp │ ├── test.hpp │ ├── test_light.hpp │ └── transpose_test.hpp └── src │ ├── alias.cpp │ ├── alignment.cpp │ ├── assert.cpp │ ├── avg_pool_2d.cpp │ ├── avg_pool_3d.cpp │ ├── avg_pool_derivative.cpp │ ├── avg_pool_upsample.cpp │ ├── avg_pool_upsample_3d.cpp │ ├── avg_pool_upsample_deep.cpp │ ├── batch_hint_2d.cpp │ ├── batch_hint_4d.cpp │ ├── bias_add.cpp │ ├── big.cpp │ ├── binary.cpp │ ├── column_major.cpp │ ├── compare.cpp │ ├── complex.cpp │ ├── conv_1d.cpp │ ├── conv_2d_backward.cpp │ ├── conv_2d_full.cpp │ ├── conv_2d_same.cpp │ ├── conv_2d_stride.cpp │ ├── conv_2d_valid.cpp │ ├── conv_4d_backward.cpp │ ├── conv_4d_backward_filter.cpp │ ├── conv_4d_full.cpp │ ├── conv_4d_full_mixed.cpp │ ├── conv_4d_stride.cpp │ ├── conv_4d_valid.cpp │ ├── conv_4d_valid_back.cpp │ ├── conv_4d_valid_filter.cpp │ ├── conv_4d_valid_mixed.cpp │ ├── conv_deep.cpp │ ├── conv_multi.cpp │ ├── conv_multi_multi.cpp │ ├── convmtx.cpp │ ├── cross.cpp │ ├── decomposition.cpp │ ├── diagonal.cpp │ ├── direct.cpp │ ├── dot.cpp │ ├── dyn_conv_2d_backward.cpp │ ├── dyn_conv_4d_backward.cpp │ ├── dyn_conv_4d_backward_filter.cpp │ ├── dyn_matrix.cpp │ ├── dyn_pooling_derivative.cpp │ ├── dyn_prob_max_pool.cpp │ ├── dyn_rep.cpp │ ├── dyn_upsample.cpp │ ├── dyn_vector.cpp │ ├── elt_compare.cpp │ ├── elt_logical.cpp │ ├── embedding_lookup.cpp │ ├── fast_dyn_matrix.cpp │ ├── fast_matrix.cpp │ ├── fast_vector.cpp │ ├── fft.cpp │ ├── fft2.cpp │ ├── flipping.cpp │ ├── gemm.cpp │ ├── gemm_cm.cpp │ ├── gemm_expr.cpp │ ├── gemm_mixed.cpp │ ├── gemm_nt.cpp │ ├── gemm_nt_cm.cpp │ ├── gemm_tn.cpp │ ├── gemm_tn_cm.cpp │ ├── gemm_tt.cpp │ ├── gemm_tt_cm.cpp │ ├── gemm_types.cpp │ ├── gemv.cpp │ ├── gemv_cm.cpp │ ├── gemv_mixed.cpp │ ├── gemv_types.cpp │ ├── generators.cpp │ ├── gevm.cpp │ ├── gevm_cm.cpp │ ├── gevm_mixed.cpp │ ├── gevm_types.cpp │ ├── globals.cpp │ ├── gpu.cpp │ ├── hermitian.cpp │ ├── ifft.cpp │ ├── ifft2.cpp │ ├── im2col.cpp │ ├── integers.cpp │ ├── inv.cpp │ ├── iterations.cpp │ ├── iterators.cpp │ ├── lower.cpp │ ├── max_pool_2d.cpp │ ├── max_pool_3d.cpp │ ├── max_pool_derivative.cpp │ ├── max_pool_upsample.cpp │ ├── max_pool_upsample_3d.cpp │ ├── max_pool_upsample_deep.cpp │ ├── memory_slice.cpp │ ├── merge.cpp │ ├── ml.cpp │ ├── noise.cpp │ ├── optimize_1.cpp │ ├── optimize_2.cpp │ ├── outer.cpp │ ├── parallel.cpp │ ├── pooling_derivative.cpp │ ├── print.cpp │ ├── prob_max_pool.cpp │ ├── reduc.cpp │ ├── rep.cpp │ ├── scalar_op.cpp │ ├── selected.cpp │ ├── serial.cpp │ ├── serializer.cpp │ ├── slice.cpp │ ├── softmax.cpp │ ├── sparse_complex.cpp │ ├── sparse_matrix.cpp │ ├── special_cases.cpp │ ├── stop.cpp │ ├── strictly_lower.cpp │ ├── strictly_upper.cpp │ ├── sub_matrix_2d.cpp │ ├── sub_matrix_3d.cpp │ ├── sub_matrix_4d.cpp │ ├── symmetric.cpp │ ├── test.cpp │ ├── timed.cpp │ ├── tmp.cpp │ ├── traits.cpp │ ├── transpose.cpp │ ├── transpose_front.cpp │ ├── trigo.cpp │ ├── unaligned.cpp │ ├── unary.cpp │ ├── uni_lower.cpp │ ├── uni_upper.cpp │ ├── unmanaged.cpp │ ├── upper.cpp │ ├── upsample.cpp │ ├── views.cpp │ └── virtual_views.cpp └── workbench └── src ├── benchmark_paper.cpp ├── counters.cpp ├── locality.cpp ├── mmul.cpp 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