Done with activation softmax backwards
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/**++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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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: equal.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 find the equal in panic::tensor
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*
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*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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*
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* @file mul.hpp
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* @brief Public API for multiplying operations on PANIC vectors and matrices.
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*
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* This header contains the declarations that users of the math module should call.
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* The comments here describe how each function is used, what dimensions are required,
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* and what is returned on failure.
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*
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* Implementation details, OpenMP thresholds, and explicit template instantiations are
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* kept in mul.cpp.
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*
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*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
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#pragma once
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#include <tensor/vector.hpp> // for panic::vector
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#include <tensor/matrix.hpp> // for panic::matrix
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namespace panic{
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namespace math{
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/**
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* @brief Find the equal for a scalar to every element of a 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 vector.
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* @param k Scalar value compared to each element of @p a.
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* @param c Output vector. Resized to match @p a.
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*
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* @return true if @p c was resized and filled successfully.
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* @return false if resizing @p c failed.
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*
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* @note This overload writes the result into an existing vector to avoid
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* unnecessary temporary allocations.
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*/
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template <typename T>
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bool equal(const panic::tensor::vector<T>& a, const T k, panic::tensor::vector<T>& c);
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/**
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* @brief Returns a new vector containing a scalar equaled to every element.
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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 vector.
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* @param k Scalar value compared to each element of @p a.
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*
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* @return A new vector 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 vector.
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*/
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template <typename T>
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panic::tensor::vector<T> equal(const panic::tensor::vector<T>& a, const T k);
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/**
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* @brief Equal a vector elementwise too a 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. Must have size of @p a
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* @param c Output vector. Resized to match @p a.
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*
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* @return true if @p c was resized and filled successfully.
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* @return false if vector sizes do not match or resizing @p c failed.
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*/
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template <typename T>
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bool equal(const panic::tensor::vector<T>& a, const panic::tensor::vector<T>& b, panic::tensor::vector<T>& c);
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/**
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* @brief Returns a new vector containing a vector with equals elementwise.
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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. Must have size of @p a
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* @param k Scalar value compared to each element of @p a.
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*
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* @return A new vector 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 vector.
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*/
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template <typename T>
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panic::tensor::vector<T> equal(const panic::tensor::vector<T>& a, const panic::tensor::vector<T>& b);
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/**
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* @brief Equal compared a scalar to every element of a matix.
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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 k Scalar value multiplied to each element of @p A.
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* @param C Output Matrix. Resized to match @p A.
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*
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* @return true if @p C was resized and filled successfully.
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* @return false if resizing @p C failed.
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*
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* @note This overload writes the result into an existing vector to avoid
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* unnecessary temporary allocations.
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*/
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template <typename T>
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bool equal(const panic::tensor::matrix<T>& A, const T k, panic::tensor::matrix<T>& C);
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/**
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* @brief Returns a new matrix containing a scalar equal compared to every element.
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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 k Scalar value multiplied to each element of @p A.
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*
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* @return A new matrix containing the result.
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* @return An empty matrix if the operation fails.
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*
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* @note This overload is convenient, but may allocate a new vector.
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*/
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template <typename T>
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panic::tensor::matrix<T> equal(const panic::tensor::matrix<T>& A, const T k);
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/**
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* @brief Equal compared a matrix elementwise too a matrix.
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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 matrix.
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* @param B Second matrix. Must have size of @p A.
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* @param C Output matrix. Resized to match @p A.
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*
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* @return true if @p C was resized and filled successfully.
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* @return false if vector sizes do not match or resizing @p c failed.
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*/
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template <typename T>
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bool equal(const panic::tensor::matrix<T>& A, const panic::tensor::matrix<T>& B, panic::tensor::matrix<T>& C);
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/**
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* @brief Returns a new matrix containing a matrix equal compaed elementwise.
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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 Second matrix. Must have size of @p A.
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*
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* @return A new matrix containing the result.
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* @return An empty matrix if the operation fails.
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*
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* @note This overload is convenient, but may allocate a new vector.
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*/
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template <typename T>
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panic::tensor::matrix<T> equal(const panic::tensor::matrix<T>& A, const panic::tensor::matrix<T>& B);
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/**
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* @brief Equal compared a vector rowwise too a matrix.
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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 Matrix.
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* @param b Vector. Must have size of @p A.cols().
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* @param C Output matrix. Resized to match @p A.
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*
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* @return true if @p C was resized and filled successfully.
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* @return false if vector sizes do not match or resizing @p c failed.
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*/
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template <typename T>
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bool equal_rowwise(const panic::tensor::matrix<T>& A, const panic::tensor::vector<T>& b, panic::tensor::matrix<T>& C);
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/**
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* @brief Equal compared a vector rowwise too a matrix.
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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 Matrix.
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* @param b Vector. Must have 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 matrix if the operation fails.
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*
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* @note This overload is convenient, but may allocate a new vector.
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*/
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template <typename T>
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panic::tensor::matrix<T> equal_rowwise(const panic::tensor::matrix<T>& A, const panic::tensor::vector<T>& b);
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/**
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* @brief Equal compared a vector colwise too a matrix.
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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 Matrix.
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* @param b Vector. Must have size of @p A.rows().
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* @param C Output matrix. Resized to match @p A.
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*
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* @return true if @p C was resized and filled successfully.
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* @return false if vector sizes do not match or resizing @p c failed.
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*/
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template <typename T>
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bool equal_colwise(const panic::tensor::matrix<T>& A, const panic::tensor::vector<T>& b, panic::tensor::matrix<T>& C);
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/**
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* @brief Equal compared a vector colwise too a matrix.
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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 Matrix.
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* @param b Vector. Must have size of @p A.rows().
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*
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* @return A new matrix containing the result.
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* @return An empty matrix if the operation fails.
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*
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* @note This overload is convenient, but may allocate a new vector.
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*/
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template <typename T>
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panic::tensor::matrix<T> equal_colwise(const panic::tensor::matrix<T>& A, const panic::tensor::vector<T>& b);
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} // namespace math
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} // namespace panic
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