feat: add paddedconv implementation

include/aidge/backend/cpu.hpp

@@ -37,6 +37,7 @@
 #include "aidge/backend/cpu/operator/MatMulImpl.hpp"
 #include "aidge/backend/cpu/operator/MulImpl.hpp"
 #include "aidge/backend/cpu/operator/PadImpl.hpp"
+#include "aidge/backend/cpu/operator/PaddedConvImpl.hpp"
 #include "aidge/backend/cpu/operator/PowImpl.hpp"
 #include "aidge/backend/cpu/operator/ReduceMeanImpl.hpp"
 #include "aidge/backend/cpu/operator/ReduceSumImpl.hpp"

include/aidge/backend/cpu/operator/PaddedConvImpl.hpp

+/********************************************************************************
+ * Copyright (c) 2023 CEA-List
+ *
+ * This program and the accompanying materials are made available under the
+ * terms of the Eclipse Public License 2.0 which is available at
+ * http://www.eclipse.org/legal/epl-2.0.
+ *
+ * SPDX-License-Identifier: EPL-2.0
+ *
+ ********************************************************************************/
+
+#ifndef AIDGE_CPU_OPERATOR_PADDEDCONVIMPL_H_
+#define AIDGE_CPU_OPERATOR_PADDEDCONVIMPL_H_
+
+#include <array>
+#include <memory>
+#include <tuple>
+#include <vector>
+
+#include "aidge/backend/cpu/operator/OperatorImpl.hpp"
+#include "aidge/operator/MetaOperatorDefs.hpp"
+#include "aidge/utils/Registrar.hpp"
+#include "aidge/utils/Types.h"
+
+namespace Aidge {
+// Operator implementation entry point for the backend
+using PaddedConv1D_Op = MetaOperator_Op;
+using PaddedConvImpl1D_cpu = OperatorImpl_cpu<MetaOperator_Op,
+    void(const std::array<DimSize_t, 2>&,
+                            const std::array<DimSize_t, 1>&,
+                            const std::array<DimSize_t, 1>&,
+                            const std::array<DimSize_t, 1>&,
+                            const std::array<DimSize_t, 3> &,
+                            DimSize_t,
+                            const void *,
+                            const void *,
+                            const void *,
+                            void *)>;
+
+using PaddedConv2D_Op = MetaOperator_Op;
+using PaddedConvImpl2D_cpu = OperatorImpl_cpu<MetaOperator_Op,
+    void(const std::array<DimSize_t, 4>&,
+                            const std::array<DimSize_t, 2>&,
+                            const std::array<DimSize_t, 2>&,
+                            const std::array<DimSize_t, 2>&,
+                            const std::array<DimSize_t, 4> &,
+                            DimSize_t,
+                            const void *,
+                            const void *,
+                            const void *,
+                            void *)>;
+
+// Implementation entry point registration to Operator
+// Uncomment to activate implementation for PaddedConv. It is currently less efficient, hence why it is commented.
+// REGISTRAR(PaddedConv1D_Op, std::array<std::string, 2>({"cpu", "PaddedConv1D"}), Aidge::PaddedConvImpl1D_cpu::create);
+// REGISTRAR(PaddedConv2D_Op, std::array<std::string, 2>({"cpu", "PaddedConv2D"}), Aidge::PaddedConvImpl2D_cpu::create);
+}  // namespace Aidge
+
+#endif /* AIDGE_CPU_OPERATOR_PADDEDCONVIMPL_H_ */

include/aidge/backend/cpu/operator/PaddedConvImpl_kernels.hpp

+/********************************************************************************
+ * Copyright (c) 2023 CEA-List
+ *
+ * This program and the accompanying materials are made available under the
+ * terms of the Eclipse Public License 2.0 which is available at
+ * http://www.eclipse.org/legal/epl-2.0.
+ *
+ * SPDX-License-Identifier: EPL-2.0
+ *
+ ********************************************************************************/
+
+#ifndef AIDGE_CPU_OPERATOR_PADDEDCONVIMPL_KERNELS_H_
+#define AIDGE_CPU_OPERATOR_PADDEDCONVIMPL_KERNELS_H_
+
+#include <array>
+#include <cstddef>
+#include <vector>
+
+#include "aidge/backend/cpu/operator/OperatorImpl.hpp"
+#include "aidge/backend/cpu/operator/PaddedConvImpl.hpp"
+#include "aidge/operator/Pad.hpp"
+#include "aidge/utils/Registrar.hpp"
+#include "aidge/utils/Types.h"
+
+namespace Aidge {
+// Only works for constant padding zero
+/**
+ * @brief Forward kernel for 1D Convolution on CPU backend.
+ * @tparam I Input data type.
+ * @tparam W Weight data type.
+ * @tparam B Bias data type.
+ * @tparam O Output data type.
+ * @param params tuple of Attributes from the Operator
+ * @param inputDims Array of input dimensions.
+ * @param input_ const input Tensor.
+ * @param weights_ const weight Tensor.
+ * @param biases_ const Biais Tensor.
+ * @param output_ Output Tensor.
+ */
+template <class I, class W, class B, class O>
+void PaddedConvImpl1D_cpu_forward_kernel(const std::array<DimSize_t, 2>& beginEndBorders,
+                            const std::array<DimSize_t, 1>& strideDims,
+                            const std::array<DimSize_t, 1>& dilationDims,
+                            const std::array<DimSize_t, 1>& kernelDims,
+                            const std::array<DimSize_t, 3>& inputDims,
+                            DimSize_t outChannels,
+                            const void *input_,
+                            const void *weights_,
+                            const void *biases_,
+                            void *output_)
+{
+    // FIXME: missing convolution attributes as arguments
+    const I *input = static_cast<const I *>(input_);
+    const W *weights = static_cast<const W *>(weights_);
+    const B *biases = static_cast<const B *>(biases_);
+    O *output = static_cast<O *>(output_);
+
+    // output H size
+    const DimSize_t dilated_kernel_x = dilationDims[0]*(kernelDims[0] - 1) + 1;
+    const std::size_t oxSize =
+            static_cast<std::size_t>(std::floor(static_cast<float>(inputDims[2] - dilated_kernel_x + strideDims[0]) /
+                                static_cast<float>(strideDims[0])));
+
+    // TODO: kernel computation
+    // output (batch, outCh, Xout, Yout)
+    // input  (batch, inCh, Xin, Yin)
+    // weight (outCh, inCh, kernelX, kernelY)
+    // does not take Dilation attribute into account
+    using signedsize = std::make_signed<std::size_t>::type;
+    for (std::size_t batch = 0; batch < inputDims[0]; ++batch) {
+        for (std::size_t outCh = 0; outCh < outChannels; ++outCh) {
+            const std::size_t oIndex = (outCh + batch*outChannels) * oxSize;
+            // If bias = nullptr, set B(0)
+            B biasVal = (biases != nullptr) ? biases[outCh] : B(0);
+            std::fill(output + oIndex, output+(oIndex+oxSize), biasVal);
+            for (std::size_t inCh = 0; inCh < inputDims[1]; ++inCh) {
+                const std::size_t iIndex = (inCh + batch*inputDims[1]) * inputDims[2];
+                const std::size_t wIndex = (inCh + outCh*inputDims[1]) * kernelDims[0];
+                for (std::size_t ox = 0; ox < oxSize; ++ox) {
+                    const signedsize difx = static_cast<signedsize>(ox * strideDims[0]);
+                    const std::size_t sxMin = static_cast<std::size_t>(std::max(static_cast<signedsize>(beginEndBorders[0]) - difx, signedsize(0)));
+                    const std::size_t sxMax = (static_cast<signedsize>(inputDims[2]) + static_cast<signedsize>(beginEndBorders[1]) - difx) < 0 ? 0 : ((inputDims[2] + difx) > kernelDims[0] ? kernelDims[0] : inputDims[2] + difx);
+
+                    const std::size_t oIndexFull = oIndex + ox;
+                    const signedsize ix = static_cast<signedsize>(ox * strideDims[0]) - static_cast<signedsize>(beginEndBorders[0]);
+
+                    for (std::size_t sx = sxMin; sx*dilationDims[0] < sxMax; ++sx) {
+                        output[oIndexFull] += weights[wIndex + sx] *
+                                                input[iIndex + static_cast<std::size_t>(ix+static_cast<signedsize>(sx*dilationDims[0]))];
+                    }
+                }
+            }
+        }
+    }
+}
+
+// Kernels registration to implementation entry point
+REGISTRAR(PaddedConvImpl1D_cpu,
+    {{DataType::Any, DataFormat::NCHW}, {DataType::Float32, DataFormat::NCHW}, DynamicAttributes(std::map<std::string, future_std::any>({std::make_pair("type", future_std::any(std::string("PaddedConv1D")))}))},
+    {ProdConso::inPlaceModel, Aidge::PaddedConvImpl1D_cpu_forward_kernel<float, float, float, float>, nullptr});
+REGISTRAR(PaddedConvImpl1D_cpu,
+    {{DataType::Any, DataFormat::NCHW}, {DataType::Float16, DataFormat::NCHW}, DynamicAttributes(std::map<std::string, future_std::any>({std::make_pair("type", future_std::any(std::string("PaddedConv1D")))}))},
+    {ProdConso::inPlaceModel, Aidge::PaddedConvImpl1D_cpu_forward_kernel<half_float::half, half_float::half, half_float::half, half_float::half>, nullptr});
+REGISTRAR(PaddedConvImpl1D_cpu,
+    {{DataType::Any, DataFormat::NCHW}, {DataType::Int32, DataFormat::NCHW}, DynamicAttributes(std::map<std::string, future_std::any>({std::make_pair("type", future_std::any(std::string("PaddedConv1D")))}))},
+    {ProdConso::inPlaceModel, Aidge::PaddedConvImpl1D_cpu_forward_kernel<int32_t, int32_t, int32_t, int32_t>, nullptr});
+REGISTRAR(PaddedConvImpl1D_cpu,
+    {{DataType::Any, DataFormat::NCHW}, {DataType::Float64, DataFormat::NCHW}, DynamicAttributes(std::map<std::string, future_std::any>({std::make_pair("type", future_std::any(std::string("PaddedConv1D")))}))},
+    {ProdConso::inPlaceModel, Aidge::PaddedConvImpl1D_cpu_forward_kernel<double, double, double, double>, nullptr});
+
+
+/**
+ * @brief Forward kernel for 2D Convolution on CPU backend.
+ * @tparam I Input data type.
+ * @tparam W Weight data type.
+ * @tparam B Bias data type.
+ * @tparam O Output data type.
+ * @param params tuple of Attributes from the Operator
+ * @param inputDims Array of input dimensions.
+ * @param input_ const input Tensor.
+ * @param weights_ const weight Tensor.
+ * @param biases_ const Biais Tensor.
+ * @param output_ Output Tensor.
+ */
+template <class I, class W, class B, class O>
+void PaddedConvImpl2D_cpu_forward_kernel(
+                            const std::array<DimSize_t, 4>& beginEndBorders,
+                            const std::array<DimSize_t, 2>& strideDims,
+                            const std::array<DimSize_t, 2>& dilationDims,
+                            const std::array<DimSize_t, 2>& kernelDims,
+                            const std::array<DimSize_t, 4> &inputDims,
+                            DimSize_t outChannels,
+                            const void *input_,
+                            const void *weights_,
+                            const void *biases_,
+                            void *output_)
+{
+    // FIXME: missing convolution attributes as arguments
+    const I *input = static_cast<const I *>(input_);
+    const W *weights = static_cast<const W *>(weights_);
+    const B *biases = static_cast<const B *>(biases_);
+    O *output = static_cast<O *>(output_);
+
+    // output H size
+    const DimSize_t dilated_kernel_x = dilationDims[0]*(kernelDims[0] - 1) + 1;
+    const std::size_t oxSize =
+            static_cast<std::size_t>(std::floor(static_cast<float>(inputDims[2] - dilated_kernel_x + beginEndBorders[0] + beginEndBorders[2] + strideDims[0]) /
+                                static_cast<float>(strideDims[0])));
+    // output W size
+    const DimSize_t dilated_kernel_y = dilationDims[1]*(kernelDims[1] - 1) + 1;
+    const std::size_t oySize =
+            static_cast<std::size_t>(std::floor(static_cast<float>(inputDims[3] - dilated_kernel_y + beginEndBorders[1] + beginEndBorders[3] + strideDims[1]) /
+                                static_cast<float>(strideDims[1])));
+
+    for (std::size_t batch = 0; batch < inputDims[0]; ++batch) {
+        for (std::size_t outCh = 0; outCh < outChannels; ++outCh) {
+            const std::size_t oIndex = (outCh + batch*outChannels) * oxSize * oySize;
+            // If bias = nullptr, set B(0)
+            B biasVal = (biases != nullptr) ? biases[outCh] : B(0);
+            std::fill(output + oIndex, output+(oIndex+oxSize*oySize), biasVal);
+            for (std::size_t inCh = 0; inCh < inputDims[1]; ++inCh) {
+                const std::size_t iIndex = (inCh + batch*inputDims[1]) * inputDims[2] * inputDims[3];
+                const std::size_t wIndex = (inCh + outCh*inputDims[1]) * kernelDims[0] * kernelDims[1];
+                for (std::size_t ox = 0; ox < oxSize; ++ox) {
+                    const std::size_t difx = ox * strideDims[0];
+                    const std::size_t sxMin = beginEndBorders[0] < difx ? std::size_t(0) : beginEndBorders[0] - difx;
+                    const std::size_t sxMax = (inputDims[2] + beginEndBorders[2]) < difx ?
+                                                0 :
+                                                ((inputDims[2] + beginEndBorders[2]) > dilated_kernel_x + difx ?
+                                                    dilated_kernel_x :
+                                                    (inputDims[2] + beginEndBorders[2] - difx));
+
+                    for (std::size_t oy = 0; oy < oySize; ++oy) {
+                        const std::size_t dify = oy * strideDims[1];
+                        const std::size_t syMin = beginEndBorders[1] < dify ? std::size_t(0) : beginEndBorders[1] - dify;
+                        const std::size_t syMax = (inputDims[3] + beginEndBorders[3]) < dify ?
+                                                0 :
+                                                ((inputDims[3] + beginEndBorders[3]) > dilated_kernel_y + dify ?
+                                                    dilated_kernel_y :
+                                                    (inputDims[3] + beginEndBorders[3] - dify));
+                        const std::size_t oIndexFull = oIndex + ox*oySize + oy;
+                        const std::size_t ix = ox * strideDims[0] - beginEndBorders[0];
+                        const std::size_t iy = oy * strideDims[1] - beginEndBorders[1];
+
+
+                        if (sxMin == 0 && syMin == 0 && sxMax == 3 && syMax == 3) {
+                            output[oIndexFull] += (weights[wIndex + 0*kernelDims[1] + 0] * input[iIndex + static_cast<std::size_t>(ix+0)*inputDims[3] + static_cast<std::size_t>(iy+0)] +
+                                                   weights[wIndex + 0*kernelDims[1] + 1] * input[iIndex + static_cast<std::size_t>(ix+0)*inputDims[3] + static_cast<std::size_t>(iy+1)] +
+                                                   weights[wIndex + 0*kernelDims[1] + 2] * input[iIndex + static_cast<std::size_t>(ix+0)*inputDims[3] + static_cast<std::size_t>(iy+2)] +
+                                                   weights[wIndex + 1*kernelDims[1] + 0] * input[iIndex + static_cast<std::size_t>(ix+1)*inputDims[3] + static_cast<std::size_t>(iy+0)] +
+                                                   weights[wIndex + 1*kernelDims[1] + 1] * input[iIndex + static_cast<std::size_t>(ix+1)*inputDims[3] + static_cast<std::size_t>(iy+1)] +
+                                                   weights[wIndex + 1*kernelDims[1] + 2] * input[iIndex + static_cast<std::size_t>(ix+1)*inputDims[3] + static_cast<std::size_t>(iy+2)] +
+                                                   weights[wIndex + 2*kernelDims[1] + 0] * input[iIndex + static_cast<std::size_t>(ix+2)*inputDims[3] + static_cast<std::size_t>(iy+0)] +
+                                                   weights[wIndex + 2*kernelDims[1] + 1] * input[iIndex + static_cast<std::size_t>(ix+2)*inputDims[3] + static_cast<std::size_t>(iy+1)] +
+                                                   weights[wIndex + 2*kernelDims[1] + 2] * input[iIndex + static_cast<std::size_t>(ix+2)*inputDims[3] + static_cast<std::size_t>(iy+2)]);
+                        } else {
+                            for (std::size_t sx = sxMin; sx*dilationDims[0] < sxMax; ++sx) {
+                                for (std::size_t sy = syMin; sy*dilationDims[1] < syMax; ++sy) {
+                                    output[oIndexFull] += weights[wIndex + sx*kernelDims[1] + sy] *
+                                                            input[iIndex + (sx*dilationDims[0] + ix)*inputDims[3] + sy*dilationDims[1] + iy];
+                                }
+                            }
+                        }
+                    }
+                }
+            }
+        }
+    }
+}
+
+
+// Kernels registration to implementation entry point
+REGISTRAR(PaddedConvImpl2D_cpu,
+    // ImplSpec{std::vector<ImplSpec::IOSpec>({ImplSpec::IOSpec{DataType::Any, DataFormat::NCHW}, ImplSpec::IOSpec{DataType::Any, DataFormat::NCHW}}) , std::vector<ImplSpec::IOSpec>({ImplSpec::IOSpec{DataType::Int32, DataFormat::NCHW}})},
+    {{DataType::Any, DataFormat::NCHW}, {DataType::Int32, DataFormat::NCHW}, DynamicAttributes(std::map<std::string, future_std::any>({std::make_pair("type", future_std::any(std::string("PaddedConv2D")))}))},
+    {ProdConso::inPlaceModel, Aidge::PaddedConvImpl2D_cpu_forward_kernel<std::int32_t, std::int32_t, std::int32_t, std::int32_t>, nullptr});
+REGISTRAR(PaddedConvImpl2D_cpu,
+    {{DataType::Any, DataFormat::NCHW}, {DataType::Float16, DataFormat::NCHW}, DynamicAttributes(std::map<std::string, future_std::any>({std::make_pair("type", future_std::any(std::string("PaddedConv2D")))}))},
+    {ProdConso::inPlaceModel, Aidge::PaddedConvImpl2D_cpu_forward_kernel<half_float::half, half_float::half, half_float::half, half_float::half>, nullptr});
+REGISTRAR(PaddedConvImpl2D_cpu,
+    {{DataType::Any, DataFormat::NCHW}, {DataType::Float32, DataFormat::NCHW}, DynamicAttributes(std::map<std::string, future_std::any>({std::make_pair("type", future_std::any(std::string("PaddedConv2D")))}))},
+    {ProdConso::inPlaceModel, Aidge::PaddedConvImpl2D_cpu_forward_kernel<float, float, float, float>, nullptr});
+REGISTRAR(PaddedConvImpl2D_cpu,
+    {{DataType::Any, DataFormat::NCHW}, {DataType::Float64, DataFormat::NCHW}, DynamicAttributes(std::map<std::string, future_std::any>({std::make_pair("type", future_std::any(std::string("PaddedConv2D")))}))},
+    {ProdConso::inPlaceModel, Aidge::PaddedConvImpl2D_cpu_forward_kernel<double, double, double, double>, nullptr});
+}  // namespace Aidge
+
+#endif /* AIDGE_CPU_OPERATOR_PADDEDCONVIMPL_KERNELS_H_ */

src/operator/PaddedConvImpl.cpp

+/********************************************************************************
+ * Copyright (c) 2023 CEA-List
+ *
+ * This program and the accompanying materials are made available under the
+ * terms of the Eclipse Public License 2.0 which is available at
+ * http://www.eclipse.org/legal/epl-2.0.
+ *
+ * SPDX-License-Identifier: EPL-2.0
+ *
+ ********************************************************************************/
+
+#include "aidge/backend/cpu/operator/PaddedConvImpl.hpp"
+#include "aidge/backend/cpu/operator/PaddedConvImpl_kernels.hpp"
+
+#include <memory>
+#include <vector>
+
+#include "aidge/backend/cpu/data/GetCPUPtr.h"
+#include "aidge/backend/OperatorImpl.hpp"
+#include "aidge/data/Tensor.hpp"
+#include "aidge/operator/MetaOperator.hpp"
+#include "aidge/operator/Conv.hpp"
+#include "aidge/operator/Pad.hpp"
+#include "aidge/utils/ErrorHandling.hpp"
+#include "aidge/utils/Registrar.hpp"
+#include "aidge/utils/Types.h"
+#include "aidge/backend/cpu/data/GetCPUPtr.h"
+
+template <>
+void Aidge::PaddedConvImpl1D_cpu::forward() {
+    const auto& op_ = static_cast<const MetaOperator_Op&>(mOp);
+
+    // FIXME: uncomment the following code once memory handling will work
+    AIDGE_ASSERT(op_.getInput(0), "missing input #0 in Conv Operator.");
+    AIDGE_ASSERT(op_.getInput(1), "missing input #1 in Conv Operator.");
+
+    // Find the correct kernel type
+    const auto impl = Registrar<PaddedConvImpl1D_cpu>::create(getBestMatch(getRequiredSpec()));
+
+    // Convert input data (no overhead if not needed!)
+    // TODO: right now, if needed, memory will be allocated/deallocated at each
+    // call to forward(). We might put the following shared_ptr as members of
+    // this class to avoid that.
+    std::shared_ptr<Tensor> input0Fallback, input1Fallback, input2Fallback;
+    const auto& input0 = op_.getInput(0)->refCastFrom(input0Fallback, *op_.getOutput(0));
+    const auto& input1 = op_.getInput(1)->refCastFrom(input1Fallback, *op_.getOutput(0));
+    const auto& input2 = (op_.getInput(2)) ? op_.getInput(2)->refCastFrom(input2Fallback, *op_.getOutput(0)) : Tensor();
+
+    std::shared_ptr<Conv_Op<1>> conv_op;
+    std::shared_ptr<Pad_Op<1>> pad_op;
+    for (const auto& n : op_.getMicroGraph()->getNodes()) {
+        if (n->getOperator()->type() == Conv_Op<1>::Type) {
+            conv_op = std::static_pointer_cast<Conv_Op<1>>(n->getOperator());
+        } else {
+            pad_op =  std::static_pointer_cast<Pad_Op<1>>(n->getOperator());
+        }
+    }
+
+    // Call kernel
+    impl.forward(
+            pad_op->beginEndBorders(),
+            conv_op->strideDims(),
+            conv_op->dilationDims(),
+            conv_op->kernelDims(),
+            op_.getInput(0)->template dims<3>(), // input dimensions
+            conv_op->outChannels(), // outChannels
+            input0.getImpl()->rawPtr(), // input
+            input1.getImpl()->rawPtr(), // weight
+            op_.getInput(2) ? input2.getImpl()->rawPtr() : nullptr, // bias
+            getCPUPtr(mOp.getRawOutput(0)) // output
+            );
+}
+
+template <>
+void Aidge::PaddedConvImpl1D_cpu::backward() {
+    AIDGE_THROW_OR_ABORT(std::runtime_error, "Backward not yet implemented for Conv_Op<1> on backend cpu");
+}
+
+template <>
+void Aidge::PaddedConvImpl2D_cpu::forward() {
+    const auto& op_ = dynamic_cast<const MetaOperator_Op&>(mOp);
+
+    // FIXME: uncomment the following code once memory handling will work
+    AIDGE_ASSERT(op_.getInput(0), "missing input #0 in Conv Operator.");
+    AIDGE_ASSERT(op_.getInput(1), "missing input #1 in Conv Operator.");
+
+    // Find the correct kernel type
+    const auto impl = Registrar<PaddedConvImpl2D_cpu>::create(getBestMatch(getRequiredSpec()));
+
+    // Convert input data (no overhead if not needed!)
+    // TODO: right now, if needed, memory will be allocated/deallocated at each
+    // call to forward(). We might put the following shared_ptr as members of
+    // this class to avoid that.
+    std::shared_ptr<Tensor> input0Fallback, input1Fallback, input2Fallback;
+    const auto& input0 = op_.getInput(0)->refCastFrom(input0Fallback, *op_.getOutput(0));
+    const auto& input1 = op_.getInput(1)->refCastFrom(input1Fallback, *op_.getOutput(0));
+    const auto& input2 = (op_.getInput(2)) ? op_.getInput(2)->refCastFrom(input2Fallback, *op_.getOutput(0)) : Tensor();
+
+    std::shared_ptr<Conv_Op<2>> conv_op;
+    std::shared_ptr<Pad_Op<2>> pad_op;
+
+    for (const auto& n : op_.getMicroGraph()->getNodes()) {
+        if (n->getOperator()->type() == Conv_Op<2>::Type) {
+            conv_op = std::static_pointer_cast<Conv_Op<2>>(n->getOperator());
+        } else {
+            pad_op =  std::static_pointer_cast<Pad_Op<2>>(n->getOperator());
+        }
+    }
+
+    // Call kernel
+    impl.forward(
+            pad_op->beginEndBorders(),
+            conv_op->strideDims(),
+            conv_op->dilationDims(),
+            conv_op->kernelDims(),
+            op_.getInput(0)->template dims<4>(), // input dimensions
+            conv_op->outChannels(), // outChannels
+            input0.getImpl()->rawPtr(), // input
+            input1.getImpl()->rawPtr(), // weight
+            op_.getInput(2) ? input2.getImpl()->rawPtr() : nullptr, // bias
+            getCPUPtr(mOp.getRawOutput(0)) // output
+            );
+}
+
+template <>
+void Aidge::PaddedConvImpl2D_cpu::backward() {
+    AIDGE_THROW_OR_ABORT(std::runtime_error, "Backward not yet implemented for Conv_Op<2> on backend cpu");
+}