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panic/include/math/sub.hpp
T

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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: sub.hpp
* Revision: 0.1.0
* Date: 25-06-2026
* Author: Michelle Bausager
*
* Description:
* Functions to subtracts panic::tensor togther;
*
*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
#pragma once
#include <tensor/vector.hpp> // for panic::vector
#include <tensor/matrix.hpp> // for panic::matrix
namespace panic{
namespace math{
/**
* @brief Subs a scalar to every element of a vector.
*
* Computes:
* @code
* c[i] = a[i] - k
* @endcode
*
* @tparam T Numeric element type.
* @param a Input vector.
* @param k Scalar value added to each element of @p a.
* @param c Output vector. Resized to match @p a.
*
* @return true if @p c was resized and filled successfully.
* @return false if resizing @p c failed.
*
* @note This overload writes the result into an existing vector to avoid
* unnecessary temporary allocations.
*/
template <typename T>
bool sub(const panic::tensor::vector<T>& a, const T k, panic::tensor::vector<T>& c);
/**
* @brief Returns a new vector containing a scalar subtraced to every element.
*
* Computes:
* @code
* result[i] = a[i] - k
* @endcode
*
* @tparam T Numeric element type.
* @param a Input vector.
* @param k Scalar value subtracted to each element of @p a.
*
* @return A new vector containing the result.
* @return An empty vector if the operation fails.
*
* @note This overload is convenient, but may allocate a new vector.
*/
template <typename T>
panic::tensor::vector<T> sub(const panic::tensor::vector<T>& a, const T k);
/**
* @brief subtracts a vector elementwise too a vector.
*
* Computes:
* @code
* c[i] = a[i] - b[i]
* @endcode
*
* @tparam T Numeric element type.
* @param a First vector.
* @param b Second vector. Must have size of @p a
* @param c Output vector. Resized to match @p a.
*
* @return true if @p c was resized and filled successfully.
* @return false if vector sizes do not match or resizing @p c failed.
*/
template <typename T>
bool sub(const panic::tensor::vector<T>& a, const panic::tensor::vector<T>& b, panic::tensor::vector<T>& c);
/**
* @brief Returns a new vector containing a vector subtracted elementwise.
*
* Computes:
* @code
* result[i] = a[i] - b[i]
* @endcode
*
* @tparam T Numeric element type.
* @param a First vector.
* @param b Second vector. Must have size of @p a
* @param k Scalar value subtracted to each element of @p a.
*
* @return A new vector containing the result.
* @return An empty vector if the operation fails.
*
* @note This overload is convenient, but may allocate a new vector.
*/
template <typename T>
panic::tensor::vector<T> sub(const panic::tensor::vector<T>& a, const panic::tensor::vector<T>& b);
/**
* @brief subtracts a scalar to every element of a matix.
*
* Computes:
* @code
* C(i,j) = A(i,j) - k
* @endcode
*
* @tparam T Numeric element type.
* @param A Input matrix.
* @param k Scalar value added to each element of @p A.
* @param C Output Matrix. Resized to match @p A.
*
* @return true if @p C was resized and filled successfully.
* @return false if resizing @p C failed.
*
* @note This overload writes the result into an existing vector to avoid
* unnecessary temporary allocations.
*/
template <typename T>
bool sub(const panic::tensor::matrix<T>& A, const T k, panic::tensor::matrix<T>& C);
/**
* @brief Returns a new matrix containing a scalar subtracted to every element.
*
* Computes:
* @code
* result(i,j) = A(i,j) - k
* @endcode
*
* @tparam T Numeric element type.
* @param A Input matrix.
* @param k Scalar value subtracted to each element of @p A.
*
* @return A new matrix containing the result.
* @return An empty matrix if the operation fails.
*
* @note This overload is convenient, but may allocate a new vector.
*/
template <typename T>
panic::tensor::matrix<T> sub(const panic::tensor::matrix<T>& A, const T k);
/**
* @brief subtracts a matrix elementwise too a matrix.
*
* Computes:
* @code
* C(i,j) = A(i,j) - B(i,j)
* @endcode
*
* @tparam T Numeric element type.
* @param A First matrix.
* @param B Second matrix. Must have size of @p A.
* @param C Output matrix. Resized to match @p A.
*
* @return true if @p C was resized and filled successfully.
* @return false if vector sizes do not match or resizing @p c failed.
*/
template <typename T>
bool sub(const panic::tensor::matrix<T>& A, const panic::tensor::matrix<T>& B, panic::tensor::matrix<T>& C);
/**
* @brief Returns a new matrix containing a matrix subtracted elementwise.
*
* Computes:
* @code
* result(i,j) = A(i,j) - B(i,j)
* @endcode
*
* @tparam T Numeric element type.
* @param A Input matrix.
* @param B Second matrix. Must have size of @p A.
*
* @return A new matrix containing the result.
* @return An empty matrix if the operation fails.
*
* @note This overload is convenient, but may allocate a new vector.
*/
template <typename T>
panic::tensor::matrix<T> sub(const panic::tensor::matrix<T>& A, const panic::tensor::matrix<T>& B);
/**
* @brief subtracts a vector rowwise too a matrix.
*
* Computes:
* @code
* C(i,j) = A(i,j) - b[j]
* @endcode
*
* @tparam T Numeric element type.
* @param A Matrix.
* @param b Vector. Must have size of @p A.cols().
* @param C Output matrix. Resized to match @p A.
*
* @return true if @p C was resized and filled successfully.
* @return false if vector sizes do not match or resizing @p c failed.
*/
template <typename T>
bool sub_rowwise(const panic::tensor::matrix<T>& A, const panic::tensor::vector<T>& b, panic::tensor::matrix<T>& C);
/**
* @brief subtracts a vector rowwise too a matrix.
*
* Computes:
* @code
* result(i,j) = A(i,j) - b[j]
* @endcode
*
* @tparam T Numeric element type.
* @param A Matrix.
* @param b Vector. Must have size of @p A.cols().
*
* @return A new matrix containing the result.
* @return An empty matrix if the operation fails.
*
* @note This overload is convenient, but may allocate a new vector.
*/
template <typename T>
panic::tensor::matrix<T> sub_rowwise(const panic::tensor::matrix<T>& A, const panic::tensor::vector<T>& b);
/**
* @brief subtracts a vector colwise too a matrix.
*
* Computes:
* @code
* C(i,j) = A(i,j) - b[i]
* @endcode
*
* @tparam T Numeric element type.
* @param A Matrix.
* @param b Vector. Must have size of @p A.rows().
* @param C Output matrix. Resized to match @p A.
*
* @return true if @p C was resized and filled successfully.
* @return false if vector sizes do not match or resizing @p c failed.
*/
template <typename T>
bool sub_colwise(const panic::tensor::matrix<T>& A, const panic::tensor::vector<T>& b, panic::tensor::matrix<T>& C);
/**
* @brief subtracts a vector colwise too a matrix.
*
* Computes:
* @code
* result(i,j) = A(i,j) - b[i]
* @endcode
*
* @tparam T Numeric element type.
* @param A Matrix.
* @param b Vector. Must have size of @p A.rows().
*
* @return A new matrix containing the result.
* @return An empty matrix if the operation fails.
*
* @note This overload is convenient, but may allocate a new vector.
*/
template <typename T>
panic::tensor::matrix<T> sub_colwise(const panic::tensor::matrix<T>& A, const panic::tensor::vector<T>& b);
} // namespace math
} // namespace panic