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Diffstat (limited to 'thirdparty/bullet/LinearMath/btPolarDecomposition.cpp')
-rw-r--r-- | thirdparty/bullet/LinearMath/btPolarDecomposition.cpp | 94 |
1 files changed, 0 insertions, 94 deletions
diff --git a/thirdparty/bullet/LinearMath/btPolarDecomposition.cpp b/thirdparty/bullet/LinearMath/btPolarDecomposition.cpp deleted file mode 100644 index d9c72a8014..0000000000 --- a/thirdparty/bullet/LinearMath/btPolarDecomposition.cpp +++ /dev/null @@ -1,94 +0,0 @@ -#include "btPolarDecomposition.h" -#include "btMinMax.h" - -namespace -{ -btScalar abs_column_sum(const btMatrix3x3& a, int i) -{ - return btFabs(a[0][i]) + btFabs(a[1][i]) + btFabs(a[2][i]); -} - -btScalar abs_row_sum(const btMatrix3x3& a, int i) -{ - return btFabs(a[i][0]) + btFabs(a[i][1]) + btFabs(a[i][2]); -} - -btScalar p1_norm(const btMatrix3x3& a) -{ - const btScalar sum0 = abs_column_sum(a, 0); - const btScalar sum1 = abs_column_sum(a, 1); - const btScalar sum2 = abs_column_sum(a, 2); - return btMax(btMax(sum0, sum1), sum2); -} - -btScalar pinf_norm(const btMatrix3x3& a) -{ - const btScalar sum0 = abs_row_sum(a, 0); - const btScalar sum1 = abs_row_sum(a, 1); - const btScalar sum2 = abs_row_sum(a, 2); - return btMax(btMax(sum0, sum1), sum2); -} -} // namespace - -btPolarDecomposition::btPolarDecomposition(btScalar tolerance, unsigned int maxIterations) - : m_tolerance(tolerance), m_maxIterations(maxIterations) -{ -} - -unsigned int btPolarDecomposition::decompose(const btMatrix3x3& a, btMatrix3x3& u, btMatrix3x3& h) const -{ - // Use the 'u' and 'h' matrices for intermediate calculations - u = a; - h = a.inverse(); - - for (unsigned int i = 0; i < m_maxIterations; ++i) - { - const btScalar h_1 = p1_norm(h); - const btScalar h_inf = pinf_norm(h); - const btScalar u_1 = p1_norm(u); - const btScalar u_inf = pinf_norm(u); - - const btScalar h_norm = h_1 * h_inf; - const btScalar u_norm = u_1 * u_inf; - - // The matrix is effectively singular so we cannot invert it - if (btFuzzyZero(h_norm) || btFuzzyZero(u_norm)) - break; - - const btScalar gamma = btPow(h_norm / u_norm, 0.25f); - const btScalar inv_gamma = btScalar(1.0) / gamma; - - // Determine the delta to 'u' - const btMatrix3x3 delta = (u * (gamma - btScalar(2.0)) + h.transpose() * inv_gamma) * btScalar(0.5); - - // Update the matrices - u += delta; - h = u.inverse(); - - // Check for convergence - if (p1_norm(delta) <= m_tolerance * u_1) - { - h = u.transpose() * a; - h = (h + h.transpose()) * 0.5; - return i; - } - } - - // The algorithm has failed to converge to the specified tolerance, but we - // want to make sure that the matrices returned are in the right form. - h = u.transpose() * a; - h = (h + h.transpose()) * 0.5; - - return m_maxIterations; -} - -unsigned int btPolarDecomposition::maxIterations() const -{ - return m_maxIterations; -} - -unsigned int polarDecompose(const btMatrix3x3& a, btMatrix3x3& u, btMatrix3x3& h) -{ - static btPolarDecomposition polar; - return polar.decompose(a, u, h); -} |