--- trunk/src/math/SquareMatrix3.hpp 2005/09/27 20:02:57 633 +++ trunk/src/math/SquareMatrix3.hpp 2006/05/17 21:51:42 963 @@ -47,7 +47,7 @@ */ #ifndef MATH_SQUAREMATRIX3_HPP #define MATH_SQUAREMATRIX3_HPP - +#include #include "Quaternion.hpp" #include "SquareMatrix.hpp" #include "Vector3.hpp" @@ -168,6 +168,26 @@ namespace oopse { *this = q.toRotationMatrix3(); } + void setupSkewMat(Vector3 v) { + setupSkewMat(v[0], v[1], v[2]); + } + + void setupSkewMat(Real v1, Real v2, Real v3) { + this->data_[0][0] = 0; + this->data_[0][1] = -v3; + this->data_[0][2] = v2; + this->data_[1][0] = v3; + this->data_[1][1] = 0; + this->data_[1][2] = -v1; + this->data_[2][0] = -v2; + this->data_[2][1] = v1; + this->data_[2][2] = 0; + + + } + + + /** * Returns the quaternion from this rotation matrix * @return the quaternion from this rotation matrix @@ -179,7 +199,7 @@ namespace oopse { Real ad1, ad2, ad3; t = this->data_[0][0] + this->data_[1][1] + this->data_[2][2] + 1.0; - if( t > 0.0 ){ + if( t > NumericConstant::epsilon ){ s = 0.5 / sqrt( t ); q[0] = 0.25 / s; @@ -239,7 +259,7 @@ namespace oopse { // set the tolerance for Euler angles and rotation elements - theta = acos(std::min(1.0, std::max(-1.0,this->data_[2][2]))); + theta = acos(std::min((RealType)1.0, std::max((RealType)-1.0,this->data_[2][2]))); ctheta = this->data_[2][2]; stheta = sqrt(1.0 - ctheta * ctheta); @@ -298,25 +318,67 @@ namespace oopse { */ SquareMatrix3 inverse() const { SquareMatrix3 m; - double det = determinant(); + RealType det = determinant(); if (fabs(det) <= oopse::epsilon) { //"The method was called on a matrix with |determinant| <= 1e-6.", //"This is a runtime or a programming error in your application."); - } + std::vector zeroDiagElementIndex; + for (int i =0; i < 3; ++i) { + if (fabs(this->data_[i][i]) <= oopse::epsilon) { + zeroDiagElementIndex.push_back(i); + } + } - m(0, 0) = this->data_[1][1]*this->data_[2][2] - this->data_[1][2]*this->data_[2][1]; - m(1, 0) = this->data_[1][2]*this->data_[2][0] - this->data_[1][0]*this->data_[2][2]; - m(2, 0) = this->data_[1][0]*this->data_[2][1] - this->data_[1][1]*this->data_[2][0]; - m(0, 1) = this->data_[2][1]*this->data_[0][2] - this->data_[2][2]*this->data_[0][1]; - m(1, 1) = this->data_[2][2]*this->data_[0][0] - this->data_[2][0]*this->data_[0][2]; - m(2, 1) = this->data_[2][0]*this->data_[0][1] - this->data_[2][1]*this->data_[0][0]; - m(0, 2) = this->data_[0][1]*this->data_[1][2] - this->data_[0][2]*this->data_[1][1]; - m(1, 2) = this->data_[0][2]*this->data_[1][0] - this->data_[0][0]*this->data_[1][2]; - m(2, 2) = this->data_[0][0]*this->data_[1][1] - this->data_[0][1]*this->data_[1][0]; - - m /= det; + if (zeroDiagElementIndex.size() == 2) { + int index = zeroDiagElementIndex[0]; + m(index, index) = 1.0 / this->data_[index][index]; + }else if (zeroDiagElementIndex.size() == 1) { + + int a = (zeroDiagElementIndex[0] + 1) % 3; + int b = (zeroDiagElementIndex[0] + 2) %3; + RealType denom = this->data_[a][a] * this->data_[b][b] - this->data_[b][a]*this->data_[a][b]; + m(a, a) = this->data_[b][b] /denom; + m(b, a) = -this->data_[b][a]/denom; + + m(a,b) = -this->data_[a][b]/denom; + m(b, b) = this->data_[a][a]/denom; + + } + +/* + for(std::vector::iterator iter = zeroDiagElementIndex.begin(); iter != zeroDiagElementIndex.end() ++iter) { + if (this->data_[*iter][0] > oopse::epsilon || this->data_[*iter][1] ||this->data_[*iter][2] || + this->data_[0][*iter] > oopse::epsilon || this->data_[1][*iter] ||this->data_[2][*iter] ) { + std::cout << "can not inverse matrix" << std::endl; + } + } +*/ + } else { + + m(0, 0) = this->data_[1][1]*this->data_[2][2] - this->data_[1][2]*this->data_[2][1]; + m(1, 0) = this->data_[1][2]*this->data_[2][0] - this->data_[1][0]*this->data_[2][2]; + m(2, 0) = this->data_[1][0]*this->data_[2][1] - this->data_[1][1]*this->data_[2][0]; + m(0, 1) = this->data_[2][1]*this->data_[0][2] - this->data_[2][2]*this->data_[0][1]; + m(1, 1) = this->data_[2][2]*this->data_[0][0] - this->data_[2][0]*this->data_[0][2]; + m(2, 1) = this->data_[2][0]*this->data_[0][1] - this->data_[2][1]*this->data_[0][0]; + m(0, 2) = this->data_[0][1]*this->data_[1][2] - this->data_[0][2]*this->data_[1][1]; + m(1, 2) = this->data_[0][2]*this->data_[1][0] - this->data_[0][0]*this->data_[1][2]; + m(2, 2) = this->data_[0][0]*this->data_[1][1] - this->data_[0][1]*this->data_[1][0]; + + m /= det; + } return m; } + + SquareMatrix3 transpose() const{ + SquareMatrix3 result; + + for (unsigned int i = 0; i < 3; i++) + for (unsigned int j = 0; j < 3; j++) + result(j, i) = this->data_[i][j]; + + return result; + } /** * Extract the eigenvalues and eigenvectors from a 3x3 matrix. * The eigenvectors (the columns of V) will be normalized. @@ -499,8 +561,8 @@ namespace oopse { } - typedef SquareMatrix3 Mat3x3d; - typedef SquareMatrix3 RotMat3x3d; + typedef SquareMatrix3 Mat3x3d; + typedef SquareMatrix3 RotMat3x3d; } //namespace oopse #endif // MATH_SQUAREMATRIX_HPP