From 83889ba33dad2743eeb2a79102a1117ec9220025 Mon Sep 17 00:00:00 2001 From: LaG1924 Date: Mon, 7 Jun 2021 07:56:57 +0500 Subject: Replaced /external/ with CPMAddPackage --- external/include/glm/gtx/matrix_factorisation.inl | 85 ----------------------- 1 file changed, 85 deletions(-) delete mode 100644 external/include/glm/gtx/matrix_factorisation.inl (limited to 'external/include/glm/gtx/matrix_factorisation.inl') diff --git a/external/include/glm/gtx/matrix_factorisation.inl b/external/include/glm/gtx/matrix_factorisation.inl deleted file mode 100644 index f0d9560..0000000 --- a/external/include/glm/gtx/matrix_factorisation.inl +++ /dev/null @@ -1,85 +0,0 @@ -/// @ref gtx_matrix_factorisation -/// @file glm/gtx/matrix_factorisation.inl - -namespace glm -{ - template - GLM_FUNC_QUALIFIER mat flipud(mat const& in) - { - mat tin = transpose(in); - tin = fliplr(tin); - mat out = transpose(tin); - - return out; - } - - template - GLM_FUNC_QUALIFIER mat fliplr(mat const& in) - { - mat out; - for (length_t i = 0; i < C; i++) - { - out[i] = in[(C - i) - 1]; - } - - return out; - } - - template - GLM_FUNC_QUALIFIER void qr_decompose(mat const& in, mat<(C < R ? C : R), R, T, Q>& q, mat& r) - { - // Uses modified Gram-Schmidt method - // Source: https://en.wikipedia.org/wiki/Gram–Schmidt_process - // And https://en.wikipedia.org/wiki/QR_decomposition - - //For all the linearly independs columns of the input... - // (there can be no more linearly independents columns than there are rows.) - for (length_t i = 0; i < (C < R ? C : R); i++) - { - //Copy in Q the input's i-th column. - q[i] = in[i]; - - //j = [0,i[ - // Make that column orthogonal to all the previous ones by substracting to it the non-orthogonal projection of all the previous columns. - // Also: Fill the zero elements of R - for (length_t j = 0; j < i; j++) - { - q[i] -= dot(q[i], q[j])*q[j]; - r[j][i] = 0; - } - - //Now, Q i-th column is orthogonal to all the previous columns. Normalize it. - q[i] = normalize(q[i]); - - //j = [i,C[ - //Finally, compute the corresponding coefficients of R by computing the projection of the resulting column on the other columns of the input. - for (length_t j = i; j < C; j++) - { - r[j][i] = dot(in[j], q[i]); - } - } - } - - template - GLM_FUNC_QUALIFIER void rq_decompose(mat const& in, mat<(C < R ? C : R), R, T, Q>& r, mat& q) - { - // From https://en.wikipedia.org/wiki/QR_decomposition: - // The RQ decomposition transforms a matrix A into the product of an upper triangular matrix R (also known as right-triangular) and an orthogonal matrix Q. The only difference from QR decomposition is the order of these matrices. - // QR decomposition is Gram–Schmidt orthogonalization of columns of A, started from the first column. - // RQ decomposition is Gram–Schmidt orthogonalization of rows of A, started from the last row. - - mat tin = transpose(in); - tin = fliplr(tin); - - mat tr; - mat<(C < R ? C : R), C, T, Q> tq; - qr_decompose(tin, tq, tr); - - tr = fliplr(tr); - r = transpose(tr); - r = fliplr(r); - - tq = fliplr(tq); - q = transpose(tq); - } -} //namespace glm -- cgit v1.2.3