812 lines
19 KiB
C++
812 lines
19 KiB
C++
/**++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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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: clip.hpp
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* Revision: 0.1.0
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* Date: 29-07-2026
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* Author: Michelle Bausager
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*
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* Description:
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* Functions that clips the value
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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 Clips the max values in the vector or scalar.
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*
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* Computes:
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* @code
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* if (a[i] < k)
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* c[i] = k
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* else
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* c[i] = a[i]
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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 clip_lower(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 cliped max value in the vector.
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*
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* Computes:
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* @code
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* if (a[i] < k)
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* result[i] = k
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* else
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* result[i] = a[i]
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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> clip_lower(const panic::tensor::vector<T>& a, const T k);
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/**
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* @brief Clips the max elementwise in the vector.
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*
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* Computes:
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* @code
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* if (a[i] < b[i])
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* c[i] = b[i]
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* else
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* c[i] = a[i]
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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 clip_lower(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 cliped max elementwise of a vector.
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*
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* Computes:
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* @code
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* if (a[i] < b[i])
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* result[i] = b[i]
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* else
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* result[i] = a[i]
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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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*
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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> clip_lower(const panic::tensor::vector<T>& a, const panic::tensor::vector<T>& b);
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/**
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* @brief Clips the max elementwise in the matrix.
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*
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* Computes:
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* @code
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* if (A(i,j) < k)
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* C(i,j) = k
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* else
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* C(i,j) = A(i,j)
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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 compared 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 matrix 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 clip_lower(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 the cliped max elementwise in the matrix.
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*
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* Computes:
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* @code
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* if (A(i,j) < k)
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* result(i,j) = k
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* else
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* result(i,j) = A(i,j)
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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 compared 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 matrix.
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*/
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template <typename T>
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panic::tensor::matrix<T> clip_lower(const panic::tensor::matrix<T>& A, const T k);
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/**
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* @brief Clips the max of a matrix elementwise too a matrix.
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*
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* Computes:
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* @code
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* if (A(i,j) < B(i,j))
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* C(i,j) = B(i,j)
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* else
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* C(i,j) = A(i,j)
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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 matrix 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 clip_lower(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 elementwise cliped to the maixmum.
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*
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* Computes:
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* @code
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* if (A(i,j) < B(i,j))
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* result(i,j) = B(i,j)
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* else
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* result(i,j) = A(i,j)
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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 matrix.
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*/
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template <typename T>
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panic::tensor::matrix<T> clip_lower(const panic::tensor::matrix<T>& A, const panic::tensor::matrix<T>& B);
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/**
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* @brief Clips the max of a vector rowwise too a matrix.
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*
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* Computes:
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* @code
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* if (A(i,j) < b[j])
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* C(i,j) = b[j])
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* else
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* C(i,j) = A(i,j)
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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 matrix 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 clip_lower_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 Returns a new matrix containing a vector rowwise cliped to the maixmum.
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*
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* Computes:
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* @code
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* if (A(i,j) < b[j])
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* result(i,j) = b[j])
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* else
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* result(i,j) = A(i,j)
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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> clip_lower_rowwise(const panic::tensor::matrix<T>& A, const panic::tensor::vector<T>& b);
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/**
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* @brief Clips the max of a vector rowwise too a matrix.
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*
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* Computes:
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* @code
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* if (A(i,j) < b[i])
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* C(i,j) = b[i])
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* else
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* C(i,j) = A(i,j)
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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 matrix 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 clip_lower_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 Returns a new matrix containing a vector rowwise cliped to the maixmum.
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*
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* Computes:
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* @code
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* if (A(i,j) < b[i])
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* result(i,j) = b[i])
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* else
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* result(i,j) = A(i,j)
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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> clip_lower_colwise(const panic::tensor::matrix<T>& A, const panic::tensor::vector<T>& b);
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/**
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* @brief Clips the min values in the vector or scalar.
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*
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* Computes:
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* @code
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* if (a[i] > k)
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* c[i] = k
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* else
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* c[i] = a[i]
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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 clip_higher(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 cliped min value in the vector.
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*
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* Computes:
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* @code
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* if (a[i] > k)
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* result[i] = k
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* else
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* result[i] = a[i]
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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> clip_higher(const panic::tensor::vector<T>& a, const T k);
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/**
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* @brief Clips the min elementwise in the vector.
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*
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* Computes:
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* @code
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* if (a[i] > b[i])
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* c[i] = b[i]
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* else
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* c[i] = a[i]
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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 clip_higher(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 cliped min elementwise of a vector.
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*
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* Computes:
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* @code
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* if (a[i] > b[i])
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* result[i] = b[i]
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* else
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* result[i] = a[i]
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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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*
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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> clip_higher(const panic::tensor::vector<T>& a, const panic::tensor::vector<T>& b);
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/**
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* @brief Clips the min elementwise in the matrix.
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*
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* Computes:
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* @code
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* if (A(i,j) > k)
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* C(i,j) = k
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* else
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* C(i,j) = A(i,j)
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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 compared 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 matrix 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 clip_higher(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 the cliped min elementwise in the matrix.
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*
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* Computes:
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* @code
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* if (A(i,j) > k)
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* result(i,j) = k
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* else
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* result(i,j) = A(i,j)
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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 compared 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 matrix.
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*/
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template <typename T>
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panic::tensor::matrix<T> clip_higher(const panic::tensor::matrix<T>& A, const T k);
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/**
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* @brief Clips the min of a matrix elementwise too a matrix.
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*
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* Computes:
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* @code
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* if (A(i,j) > B(i,j))
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* C(i,j) = B(i,j)
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* else
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* C(i,j) = A(i,j)
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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 matrix 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 clip_higher(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 elementwise cliped to the maixmum.
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*
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* Computes:
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* @code
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* if (A(i,j) > B(i,j))
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* result(i,j) = B(i,j)
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* else
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* result(i,j) = A(i,j)
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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 matrix.
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*/
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template <typename T>
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panic::tensor::matrix<T> clip_higher(const panic::tensor::matrix<T>& A, const panic::tensor::matrix<T>& B);
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/**
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* @brief Clips the min of a vector rowwise too a matrix.
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*
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* Computes:
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* @code
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* if (A(i,j) > b[j])
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* C(i,j) = b[j])
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* else
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* C(i,j) = A(i,j)
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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 matrix 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 clip_higher_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 Returns a new matrix containing a vector rowwise cliped to the minimum.
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*
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* Computes:
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* @code
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* if (A(i,j) > b[j])
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* result(i,j) = b[j])
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* else
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* result(i,j) = A(i,j)
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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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template <typename T>
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panic::tensor::matrix<T> clip_higher_rowwise(const panic::tensor::matrix<T>& A, const panic::tensor::vector<T>& b);
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/**
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* @brief Clips the min of a vector columnwise too a matrix.
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|
*
|
|
* Computes:
|
|
* @code
|
|
* if (A(i,j) > b[i])
|
|
* C(i,j) = b[i])
|
|
* else
|
|
* C(i,j) = A(i,j)
|
|
* @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 matrix sizes do not match or resizing @p c failed.
|
|
*/
|
|
template <typename T>
|
|
bool clip_higher_colwise(const panic::tensor::matrix<T>& A, const panic::tensor::vector<T>& b, panic::tensor::matrix<T>& C);
|
|
|
|
/**
|
|
* @brief Returns a new matrix containing a vector column-wise cliped to the minimum.
|
|
*
|
|
* Computes:
|
|
* @code
|
|
* if (A(i,j) > b[i])
|
|
* result(i,j) = b[i])
|
|
* else
|
|
* result(i,j) = A(i,j)
|
|
* @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> clip_higher_colwise(const panic::tensor::matrix<T>& A, const panic::tensor::vector<T>& b);
|
|
|
|
|
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|
|
|
|
|
|
|
/**
|
|
* @brief Clips values in the vector or scalar.
|
|
*
|
|
* Computes:
|
|
* @code
|
|
|
|
* @endcode
|
|
*
|
|
* @tparam T Numeric element type.
|
|
* @param a Input vector.
|
|
* @param lower Scalar value compared to each element of @p a.
|
|
* @param higher Scalar value compared 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 clip(const panic::tensor::vector<T>& a, const T lower, const T higher, const panic::tensor::vector<T>& c);
|
|
|
|
/**
|
|
* @brief Returns a cliped value in the vector.
|
|
*
|
|
* Computes:
|
|
* @code
|
|
* @endcode
|
|
*
|
|
* @tparam T Numeric element type.
|
|
* @param a Input vector.
|
|
* @param lower Scalar value compared to each element of @p a.
|
|
* @param higher Scalar value compared 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> clip(const panic::tensor::vector<T>& a, const T lower, const T higher);
|
|
|
|
|
|
/**
|
|
* @brief Clips the elementwise in the matrix.
|
|
*
|
|
* Computes:
|
|
* @code
|
|
* @endcode
|
|
*
|
|
* @tparam T Numeric element type.
|
|
* @param A Input matrix.
|
|
* @param lower Scalar value compared to each element of @p a.
|
|
* @param higher Scalar value compared 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 matrix to avoid
|
|
* unnecessary temporary allocations.
|
|
*/
|
|
template <typename T>
|
|
bool clip(const panic::tensor::matrix<T>& A, const T lower, const T higher, panic::tensor::matrix<T>& C);
|
|
|
|
/**
|
|
* @brief Returns a new matrix containing the cliped min elementwise in the matrix.
|
|
*
|
|
* Computes:
|
|
* @code
|
|
* @endcode
|
|
*
|
|
* @tparam T Numeric element type.
|
|
* @param A Input matrix.
|
|
* @param lower Scalar value compared to each element of @p a.
|
|
* @param higher Scalar value compared 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 matrix.
|
|
*/
|
|
template <typename T>
|
|
panic::tensor::matrix<T> clip(const panic::tensor::matrix<T>& A, const T lower, const T higher);
|
|
|
|
|
|
|
|
|
|
|
|
|
|
} // namespace math
|
|
} // namespace panic
|