| 10 | #include "main.h" |
| 11 | using namespace std; |
| 12 | template<typename MatrixType> void diagonalmatrices(const MatrixType& m) |
| 13 | { |
| 14 | typedef typename MatrixType::Index Index; |
| 15 | typedef typename MatrixType::Scalar Scalar; |
| 16 | enum { Rows = MatrixType::RowsAtCompileTime, Cols = MatrixType::ColsAtCompileTime }; |
| 17 | typedef Matrix<Scalar, Rows, 1> VectorType; |
| 18 | typedef Matrix<Scalar, 1, Cols> RowVectorType; |
| 19 | typedef Matrix<Scalar, Rows, Rows> SquareMatrixType; |
| 20 | typedef Matrix<Scalar, Dynamic, Dynamic> DynMatrixType; |
| 21 | typedef DiagonalMatrix<Scalar, Rows> LeftDiagonalMatrix; |
| 22 | typedef DiagonalMatrix<Scalar, Cols> RightDiagonalMatrix; |
| 23 | typedef Matrix<Scalar, Rows==Dynamic?Dynamic:2*Rows, Cols==Dynamic?Dynamic:2*Cols> BigMatrix; |
| 24 | Index rows = m.rows(); |
| 25 | Index cols = m.cols(); |
| 26 | |
| 27 | MatrixType m1 = MatrixType::Random(rows, cols), |
| 28 | m2 = MatrixType::Random(rows, cols); |
| 29 | VectorType v1 = VectorType::Random(rows), |
| 30 | v2 = VectorType::Random(rows); |
| 31 | RowVectorType rv1 = RowVectorType::Random(cols), |
| 32 | rv2 = RowVectorType::Random(cols); |
| 33 | LeftDiagonalMatrix ldm1(v1), ldm2(v2); |
| 34 | RightDiagonalMatrix rdm1(rv1), rdm2(rv2); |
| 35 | |
| 36 | Scalar s1 = internal::random<Scalar>(); |
| 37 | |
| 38 | SquareMatrixType sq_m1 (v1.asDiagonal()); |
| 39 | VERIFY_IS_APPROX(sq_m1, v1.asDiagonal().toDenseMatrix()); |
| 40 | sq_m1 = v1.asDiagonal(); |
| 41 | VERIFY_IS_APPROX(sq_m1, v1.asDiagonal().toDenseMatrix()); |
| 42 | SquareMatrixType sq_m2 = v1.asDiagonal(); |
| 43 | VERIFY_IS_APPROX(sq_m1, sq_m2); |
| 44 | |
| 45 | ldm1 = v1.asDiagonal(); |
| 46 | LeftDiagonalMatrix ldm3(v1); |
| 47 | VERIFY_IS_APPROX(ldm1.diagonal(), ldm3.diagonal()); |
| 48 | LeftDiagonalMatrix ldm4 = v1.asDiagonal(); |
| 49 | VERIFY_IS_APPROX(ldm1.diagonal(), ldm4.diagonal()); |
| 50 | |
| 51 | sq_m1.block(0,0,rows,rows) = ldm1; |
| 52 | VERIFY_IS_APPROX(sq_m1, ldm1.toDenseMatrix()); |
| 53 | sq_m1.transpose() = ldm1; |
| 54 | VERIFY_IS_APPROX(sq_m1, ldm1.toDenseMatrix()); |
| 55 | |
| 56 | Index i = internal::random<Index>(0, rows-1); |
| 57 | Index j = internal::random<Index>(0, cols-1); |
| 58 | |
| 59 | VERIFY_IS_APPROX( ((ldm1 * m1)(i,j)) , ldm1.diagonal()(i) * m1(i,j) ); |
| 60 | VERIFY_IS_APPROX( ((ldm1 * (m1+m2))(i,j)) , ldm1.diagonal()(i) * (m1+m2)(i,j) ); |
| 61 | VERIFY_IS_APPROX( ((m1 * rdm1)(i,j)) , rdm1.diagonal()(j) * m1(i,j) ); |
| 62 | VERIFY_IS_APPROX( ((v1.asDiagonal() * m1)(i,j)) , v1(i) * m1(i,j) ); |
| 63 | VERIFY_IS_APPROX( ((m1 * rv1.asDiagonal())(i,j)) , rv1(j) * m1(i,j) ); |
| 64 | VERIFY_IS_APPROX( (((v1+v2).asDiagonal() * m1)(i,j)) , (v1+v2)(i) * m1(i,j) ); |
| 65 | VERIFY_IS_APPROX( (((v1+v2).asDiagonal() * (m1+m2))(i,j)) , (v1+v2)(i) * (m1+m2)(i,j) ); |
| 66 | VERIFY_IS_APPROX( ((m1 * (rv1+rv2).asDiagonal())(i,j)) , (rv1+rv2)(j) * m1(i,j) ); |
| 67 | VERIFY_IS_APPROX( (((m1+m2) * (rv1+rv2).asDiagonal())(i,j)) , (rv1+rv2)(j) * (m1+m2)(i,j) ); |
| 68 | |
| 69 | if(rows>1) |