Done with activation softmax backwards
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/**++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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*
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* PANIC
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* Portable Algorithms and Numerics In C++
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*
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* Scientific computing from scratch, with feeling.
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*
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* Copyright (c) 2026 Michelle Bausager
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*
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* This file is part of PANIC.
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*
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* PANIC is free software licensed under the GNU General Public License v3.0 or later.
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* You may redistribute and/or modify it under the terms of the GPL.
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*
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* PANIC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY;
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* without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
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* See the LICENSE file for the full license text.
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*
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* SPDX-License-Identifier: GPL-3.0-or-later
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*
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*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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*
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* Project Name: PANIC
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* Module Name: math
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* File Name: dot.hpp
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* Revision: 0.1.0
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* Date: 31-07-2026
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* Author: Michelle Bausager
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*
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* Description:
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* Functions to calculate dot product of tensors;
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*
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*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
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#pragma once
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//---------------------------------------------------------------------------------------------------------------------------
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// INCLUDE DESCRIPTION
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//-----------------------------------------------------------------------------------------------------
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#include <tensor/vector.hpp>
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#include <tensor/matrix.hpp> // for panic::real_matrix
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namespace panic{
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namespace math{
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/**
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* @brief Returns dor product of vector and vector.
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*
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* Computes:
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* @code
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* @endcode
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*
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* @tparam T Numeric element type.
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* @param a First vector.
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* @param b Second vector for dot product. Need to be @p a.size()
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*
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*/
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template <typename T>
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T dot(const panic::tensor::vector<T>& a, const panic::tensor::vector<T>& b);
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/**
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* @brief Returns a new vector of dot product of a matrix and vector.
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*
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* Computes:
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* @code
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* @endcode
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*
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* @tparam T Numeric element type.
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* @param A Input matrix.
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* @param b Input vector. @ p b.size needs to be the size of @p A.cols.
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* @param c Output vector with result.
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*
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* @return true if success
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* @return false if resizeing fails or dimention mismatch
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*
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*/
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template <typename T>
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bool dot(const panic::tensor::matrix<T>& A, const panic::tensor::matrix<T>& b, panic::tensor::vector<T>& c);
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/**
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* @brief Returns a new vector of dot product of a matrix and vector.
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*
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* Computes:
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* @code
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* @endcode
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*
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* @tparam T Numeric element type.
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* @param A Input matrix.
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* @param b Input vector. @ p b.size needs to be the size of @p A.cols.
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*
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* @return A new matrix containing the result.
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* @return An empty vector if the operation fails.
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*
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* @note This overload is convenient, but may allocate a new matrix.
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*/
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template <typename T>
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panic::tensor::vector<T> dot(const panic::tensor::matrix<T>& A, const panic::tensor::matrix<T>& b);
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} // namespace math
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} // namespace panic
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