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author | LaG1924 <12997935+LaG1924@users.noreply.github.com> | 2018-08-21 17:40:38 +0200 |
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committer | LaG1924 <12997935+LaG1924@users.noreply.github.com> | 2018-08-21 17:40:38 +0200 |
commit | 2877f4eda3d1b0c7431039e3142ecf1a282a34b1 (patch) | |
tree | 58ad35e27ab2a3b8955f5adbf28f296670681ffc /external/include/glm/gtx/matrix_factorisation.inl | |
parent | Smooth sun movement (diff) | |
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-rw-r--r-- | external/include/glm/gtx/matrix_factorisation.inl | 85 |
1 files changed, 85 insertions, 0 deletions
diff --git a/external/include/glm/gtx/matrix_factorisation.inl b/external/include/glm/gtx/matrix_factorisation.inl new file mode 100644 index 0000000..f0d9560 --- /dev/null +++ b/external/include/glm/gtx/matrix_factorisation.inl @@ -0,0 +1,85 @@ +/// @ref gtx_matrix_factorisation +/// @file glm/gtx/matrix_factorisation.inl + +namespace glm +{ + template <length_t C, length_t R, typename T, qualifier Q> + GLM_FUNC_QUALIFIER mat<C, R, T, Q> flipud(mat<C, R, T, Q> const& in) + { + mat<R, C, T, Q> tin = transpose(in); + tin = fliplr(tin); + mat<C, R, T, Q> out = transpose(tin); + + return out; + } + + template <length_t C, length_t R, typename T, qualifier Q> + GLM_FUNC_QUALIFIER mat<C, R, T, Q> fliplr(mat<C, R, T, Q> const& in) + { + mat<C, R, T, Q> out; + for (length_t i = 0; i < C; i++) + { + out[i] = in[(C - i) - 1]; + } + + return out; + } + + template <length_t C, length_t R, typename T, qualifier Q> + GLM_FUNC_QUALIFIER 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) + { + // 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 <length_t C, length_t R, typename T, qualifier Q> + GLM_FUNC_QUALIFIER 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) + { + // 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<R, C, T, Q> tin = transpose(in); + tin = fliplr(tin); + + mat<R, (C < R ? C : R), T, Q> 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 |