Done with activation softmax backwards

include/math/transpose.hpp

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