70 lines
2.8 KiB
C++
70 lines
2.8 KiB
C++
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/// @ref gtx_matrix_factorisation
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/// @file glm/gtx/matrix_factorisation.hpp
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///
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/// @see core (dependence)
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///
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/// @defgroup gtx_matrix_factorisation GLM_GTX_matrix_factorisation
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/// @ingroup gtx
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///
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/// Include <glm/gtx/matrix_factorisation.hpp> to use the features of this extension.
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///
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/// Functions to factor matrices in various forms
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#pragma once
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// Dependency:
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#include "../glm.hpp"
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#ifndef GLM_ENABLE_EXPERIMENTAL
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# error "GLM: GLM_GTX_matrix_factorisation is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it."
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#endif
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#if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)
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# pragma message("GLM: GLM_GTX_matrix_factorisation extension included")
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#endif
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/*
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Suggestions:
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- Move helper functions flipud and fliplr to another file: They may be helpful in more general circumstances.
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- Implement other types of matrix factorisation, such as: QL and LQ, L(D)U, eigendecompositions, etc...
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*/
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namespace glm
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{
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/// @addtogroup gtx_matrix_factorisation
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/// @{
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/// Flips the matrix rows up and down.
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///
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/// From GLM_GTX_matrix_factorisation extension.
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template <length_t C, length_t R, typename T, qualifier Q>
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GLM_FUNC_DECL mat<C, R, T, Q> flipud(mat<C, R, T, Q> const& in);
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/// Flips the matrix columns right and left.
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///
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/// From GLM_GTX_matrix_factorisation extension.
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template <length_t C, length_t R, typename T, qualifier Q>
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GLM_FUNC_DECL mat<C, R, T, Q> fliplr(mat<C, R, T, Q> const& in);
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/// Performs QR factorisation of a matrix.
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/// Returns 2 matrices, q and r, such that the columns of q are orthonormal and span the same subspace than those of the input matrix, r is an upper triangular matrix, and q*r=in.
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/// Given an n-by-m input matrix, q has dimensions min(n,m)-by-m, and r has dimensions n-by-min(n,m).
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///
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/// From GLM_GTX_matrix_factorisation extension.
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template <length_t C, length_t R, typename T, qualifier Q>
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GLM_FUNC_DECL void qr_decompose(mat<C, R, T, Q> const& in, mat<(C < R ? C : R), R, T, Q>& q, mat<C, (C < R ? C : R), T, Q>& r);
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/// Performs RQ factorisation of a matrix.
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/// Returns 2 matrices, r and q, such that r is an upper triangular matrix, the rows of q are orthonormal and span the same subspace than those of the input matrix, and r*q=in.
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/// Note that in the context of RQ factorisation, the diagonal is seen as starting in the lower-right corner of the matrix, instead of the usual upper-left.
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/// Given an n-by-m input matrix, r has dimensions min(n,m)-by-m, and q has dimensions n-by-min(n,m).
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///
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/// From GLM_GTX_matrix_factorisation extension.
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template <length_t C, length_t R, typename T, qualifier Q>
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GLM_FUNC_DECL void rq_decompose(mat<C, R, T, Q> const& in, mat<(C < R ? C : R), R, T, Q>& r, mat<C, (C < R ? C : R), T, Q>& q);
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/// @}
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}
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#include "matrix_factorisation.inl"
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