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				| /* | |
|     tests/eigen.cpp -- automatic conversion of Eigen types | |
|  | |
|     Copyright (c) 2016 Wenzel Jakob <wenzel.jakob@epfl.ch> | |
|  | |
|     All rights reserved. Use of this source code is governed by a | |
|     BSD-style license that can be found in the LICENSE file. | |
| */ | |
| 
 | |
| #include "pybind11_tests.h" | |
| #include "constructor_stats.h" | |
| #include <pybind11/eigen.h> | |
| #include <pybind11/stl.h> | |
| #include <Eigen/Cholesky> | |
|  | |
| using MatrixXdR = Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor>; | |
| 
 | |
| 
 | |
| 
 | |
| // Sets/resets a testing reference matrix to have values of 10*r + c, where r and c are the | |
| // (1-based) row/column number. | |
| template <typename M> void reset_ref(M &x) { | |
|     for (int i = 0; i < x.rows(); i++) for (int j = 0; j < x.cols(); j++) | |
|         x(i, j) = 11 + 10*i + j; | |
| } | |
| 
 | |
| // Returns a static, column-major matrix | |
| Eigen::MatrixXd &get_cm() { | |
|     static Eigen::MatrixXd *x; | |
|     if (!x) { | |
|         x = new Eigen::MatrixXd(3, 3); | |
|         reset_ref(*x); | |
|     } | |
|     return *x; | |
| } | |
| // Likewise, but row-major | |
| MatrixXdR &get_rm() { | |
|     static MatrixXdR *x; | |
|     if (!x) { | |
|         x = new MatrixXdR(3, 3); | |
|         reset_ref(*x); | |
|     } | |
|     return *x; | |
| } | |
| // Resets the values of the static matrices returned by get_cm()/get_rm() | |
| void reset_refs() { | |
|     reset_ref(get_cm()); | |
|     reset_ref(get_rm()); | |
| } | |
| 
 | |
| // Returns element 2,1 from a matrix (used to test copy/nocopy) | |
| double get_elem(Eigen::Ref<const Eigen::MatrixXd> m) { return m(2, 1); }; | |
| 
 | |
| 
 | |
| // Returns a matrix with 10*r + 100*c added to each matrix element (to help test that the matrix | |
| // reference is referencing rows/columns correctly). | |
| template <typename MatrixArgType> Eigen::MatrixXd adjust_matrix(MatrixArgType m) { | |
|     Eigen::MatrixXd ret(m); | |
|     for (int c = 0; c < m.cols(); c++) for (int r = 0; r < m.rows(); r++) | |
|         ret(r, c) += 10*r + 100*c; | |
|     return ret; | |
| } | |
| 
 | |
| struct CustomOperatorNew { | |
|     CustomOperatorNew() = default; | |
| 
 | |
|     Eigen::Matrix4d a = Eigen::Matrix4d::Zero(); | |
|     Eigen::Matrix4d b = Eigen::Matrix4d::Identity(); | |
| 
 | |
|     EIGEN_MAKE_ALIGNED_OPERATOR_NEW; | |
| }; | |
| 
 | |
| test_initializer eigen([](py::module &m) { | |
|     typedef Eigen::Matrix<float, 5, 6, Eigen::RowMajor> FixedMatrixR; | |
|     typedef Eigen::Matrix<float, 5, 6> FixedMatrixC; | |
|     typedef Eigen::Matrix<float, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor> DenseMatrixR; | |
|     typedef Eigen::Matrix<float, Eigen::Dynamic, Eigen::Dynamic> DenseMatrixC; | |
|     typedef Eigen::Matrix<float, 4, Eigen::Dynamic> FourRowMatrixC; | |
|     typedef Eigen::Matrix<float, Eigen::Dynamic, 4> FourColMatrixC; | |
|     typedef Eigen::Matrix<float, 4, Eigen::Dynamic> FourRowMatrixR; | |
|     typedef Eigen::Matrix<float, Eigen::Dynamic, 4> FourColMatrixR; | |
|     typedef Eigen::SparseMatrix<float, Eigen::RowMajor> SparseMatrixR; | |
|     typedef Eigen::SparseMatrix<float> SparseMatrixC; | |
| 
 | |
|     m.attr("have_eigen") = true; | |
| 
 | |
|     m.def("double_col", [](const Eigen::VectorXf &x) -> Eigen::VectorXf { return 2.0f * x; }); | |
|     m.def("double_row", [](const Eigen::RowVectorXf &x) -> Eigen::RowVectorXf { return 2.0f * x; }); | |
|     m.def("double_complex", [](const Eigen::VectorXcf &x) -> Eigen::VectorXcf { return 2.0f * x; }); | |
|     m.def("double_threec", [](py::EigenDRef<Eigen::Vector3f> x) { x *= 2; }); | |
|     m.def("double_threer", [](py::EigenDRef<Eigen::RowVector3f> x) { x *= 2; }); | |
|     m.def("double_mat_cm", [](Eigen::MatrixXf x) -> Eigen::MatrixXf { return 2.0f * x; }); | |
|     m.def("double_mat_rm", [](DenseMatrixR x) -> DenseMatrixR { return 2.0f * x; }); | |
| 
 | |
|     // Different ways of passing via Eigen::Ref; the first and second are the Eigen-recommended | |
|     m.def("cholesky1", [](Eigen::Ref<MatrixXdR> x) -> Eigen::MatrixXd { return x.llt().matrixL(); }); | |
|     m.def("cholesky2", [](const Eigen::Ref<const MatrixXdR> &x) -> Eigen::MatrixXd { return x.llt().matrixL(); }); | |
|     m.def("cholesky3", [](const Eigen::Ref<MatrixXdR> &x) -> Eigen::MatrixXd { return x.llt().matrixL(); }); | |
|     m.def("cholesky4", [](Eigen::Ref<const MatrixXdR> x) -> Eigen::MatrixXd { return x.llt().matrixL(); }); | |
| 
 | |
|     // Mutators: these add some value to the given element using Eigen, but Eigen should be mapping into | |
|     // the numpy array data and so the result should show up there.  There are three versions: one that | |
|     // works on a contiguous-row matrix (numpy's default), one for a contiguous-column matrix, and one | |
|     // for any matrix. | |
|     auto add_rm = [](Eigen::Ref<MatrixXdR> x, int r, int c, double v) { x(r,c) += v; }; | |
|     auto add_cm = [](Eigen::Ref<Eigen::MatrixXd> x, int r, int c, double v) { x(r,c) += v; }; | |
| 
 | |
|     // Mutators (Eigen maps into numpy variables): | |
|     m.def("add_rm", add_rm); // Only takes row-contiguous | |
|     m.def("add_cm", add_cm); // Only takes column-contiguous | |
|     // Overloaded versions that will accept either row or column contiguous: | |
|     m.def("add1", add_rm); | |
|     m.def("add1", add_cm); | |
|     m.def("add2", add_cm); | |
|     m.def("add2", add_rm); | |
|     // This one accepts a matrix of any stride: | |
|     m.def("add_any", [](py::EigenDRef<Eigen::MatrixXd> x, int r, int c, double v) { x(r,c) += v; }); | |
| 
 | |
|     // Return mutable references (numpy maps into eigen varibles) | |
|     m.def("get_cm_ref", []() { return Eigen::Ref<Eigen::MatrixXd>(get_cm()); }); | |
|     m.def("get_rm_ref", []() { return Eigen::Ref<MatrixXdR>(get_rm()); }); | |
|     // The same references, but non-mutable (numpy maps into eigen variables, but is !writeable) | |
|     m.def("get_cm_const_ref", []() { return Eigen::Ref<const Eigen::MatrixXd>(get_cm()); }); | |
|     m.def("get_rm_const_ref", []() { return Eigen::Ref<const MatrixXdR>(get_rm()); }); | |
|     // Just the corners (via a Map instead of a Ref): | |
|     m.def("get_cm_corners", []() { | |
|         auto &x = get_cm(); | |
|         return py::EigenDMap<Eigen::Matrix2d>( | |
|                 x.data(), | |
|                 py::EigenDStride(x.outerStride() * (x.rows() - 1), x.innerStride() * (x.cols() - 1))); | |
|     }); | |
|     m.def("get_cm_corners_const", []() { | |
|         const auto &x = get_cm(); | |
|         return py::EigenDMap<const Eigen::Matrix2d>( | |
|                 x.data(), | |
|                 py::EigenDStride(x.outerStride() * (x.rows() - 1), x.innerStride() * (x.cols() - 1))); | |
|     }); | |
| 
 | |
|     m.def("reset_refs", reset_refs); // Restores get_{cm,rm}_ref to original values | |
|  | |
|     // Increments and returns ref to (same) matrix | |
|     m.def("incr_matrix", [](Eigen::Ref<Eigen::MatrixXd> m, double v) { | |
|         m += Eigen::MatrixXd::Constant(m.rows(), m.cols(), v); | |
|         return m; | |
|     }, py::return_value_policy::reference); | |
| 
 | |
|     // Same, but accepts a matrix of any strides | |
|     m.def("incr_matrix_any", [](py::EigenDRef<Eigen::MatrixXd> m, double v) { | |
|         m += Eigen::MatrixXd::Constant(m.rows(), m.cols(), v); | |
|         return m; | |
|     }, py::return_value_policy::reference); | |
| 
 | |
|     // Returns an eigen slice of even rows | |
|     m.def("even_rows", [](py::EigenDRef<Eigen::MatrixXd> m) { | |
|         return py::EigenDMap<Eigen::MatrixXd>( | |
|                 m.data(), (m.rows() + 1) / 2, m.cols(), | |
|                 py::EigenDStride(m.outerStride(), 2 * m.innerStride())); | |
|     }, py::return_value_policy::reference); | |
| 
 | |
|     // Returns an eigen slice of even columns | |
|     m.def("even_cols", [](py::EigenDRef<Eigen::MatrixXd> m) { | |
|         return py::EigenDMap<Eigen::MatrixXd>( | |
|                 m.data(), m.rows(), (m.cols() + 1) / 2, | |
|                 py::EigenDStride(2 * m.outerStride(), m.innerStride())); | |
|     }, py::return_value_policy::reference); | |
| 
 | |
|     // Returns diagonals: a vector-like object with an inner stride != 1 | |
|     m.def("diagonal", [](const Eigen::Ref<const Eigen::MatrixXd> &x) { return x.diagonal(); }); | |
|     m.def("diagonal_1", [](const Eigen::Ref<const Eigen::MatrixXd> &x) { return x.diagonal<1>(); }); | |
|     m.def("diagonal_n", [](const Eigen::Ref<const Eigen::MatrixXd> &x, int index) { return x.diagonal(index); }); | |
| 
 | |
|     // Return a block of a matrix (gives non-standard strides) | |
|     m.def("block", [](const Eigen::Ref<const Eigen::MatrixXd> &x, int start_row, int start_col, int block_rows, int block_cols) { | |
|         return x.block(start_row, start_col, block_rows, block_cols); | |
|     }); | |
| 
 | |
|     // return value referencing/copying tests: | |
|     class ReturnTester { | |
|         Eigen::MatrixXd mat = create(); | |
|     public: | |
|         ReturnTester() { print_created(this); } | |
|         ~ReturnTester() { print_destroyed(this); } | |
|         static Eigen::MatrixXd create() { return Eigen::MatrixXd::Ones(10, 10); } | |
|         static const Eigen::MatrixXd createConst() { return Eigen::MatrixXd::Ones(10, 10); } | |
|         Eigen::MatrixXd &get() { return mat; } | |
|         Eigen::MatrixXd *getPtr() { return &mat; } | |
|         const Eigen::MatrixXd &view() { return mat; } | |
|         const Eigen::MatrixXd *viewPtr() { return &mat; } | |
|         Eigen::Ref<Eigen::MatrixXd> ref() { return mat; } | |
|         Eigen::Ref<const Eigen::MatrixXd> refConst() { return mat; } | |
|         Eigen::Block<Eigen::MatrixXd> block(int r, int c, int nrow, int ncol) { return mat.block(r, c, nrow, ncol); } | |
|         Eigen::Block<const Eigen::MatrixXd> blockConst(int r, int c, int nrow, int ncol) const { return mat.block(r, c, nrow, ncol); } | |
|         py::EigenDMap<Eigen::Matrix2d> corners() { return py::EigenDMap<Eigen::Matrix2d>(mat.data(), | |
|                     py::EigenDStride(mat.outerStride() * (mat.outerSize()-1), mat.innerStride() * (mat.innerSize()-1))); } | |
|         py::EigenDMap<const Eigen::Matrix2d> cornersConst() const { return py::EigenDMap<const Eigen::Matrix2d>(mat.data(), | |
|                     py::EigenDStride(mat.outerStride() * (mat.outerSize()-1), mat.innerStride() * (mat.innerSize()-1))); } | |
|     }; | |
|     using rvp = py::return_value_policy; | |
|     py::class_<ReturnTester>(m, "ReturnTester") | |
|         .def(py::init<>()) | |
|         .def_static("create", &ReturnTester::create) | |
|         .def_static("create_const", &ReturnTester::createConst) | |
|         .def("get", &ReturnTester::get, rvp::reference_internal) | |
|         .def("get_ptr", &ReturnTester::getPtr, rvp::reference_internal) | |
|         .def("view", &ReturnTester::view, rvp::reference_internal) | |
|         .def("view_ptr", &ReturnTester::view, rvp::reference_internal) | |
|         .def("copy_get", &ReturnTester::get)   // Default rvp: copy | |
|         .def("copy_view", &ReturnTester::view) //         " | |
|         .def("ref", &ReturnTester::ref) // Default for Ref is to reference | |
|         .def("ref_const", &ReturnTester::refConst) // Likewise, but const | |
|         .def("ref_safe", &ReturnTester::ref, rvp::reference_internal) | |
|         .def("ref_const_safe", &ReturnTester::refConst, rvp::reference_internal) | |
|         .def("copy_ref", &ReturnTester::ref, rvp::copy) | |
|         .def("copy_ref_const", &ReturnTester::refConst, rvp::copy) | |
|         .def("block", &ReturnTester::block) | |
|         .def("block_safe", &ReturnTester::block, rvp::reference_internal) | |
|         .def("block_const", &ReturnTester::blockConst, rvp::reference_internal) | |
|         .def("copy_block", &ReturnTester::block, rvp::copy) | |
|         .def("corners", &ReturnTester::corners, rvp::reference_internal) | |
|         .def("corners_const", &ReturnTester::cornersConst, rvp::reference_internal) | |
|         ; | |
| 
 | |
|     // Returns a DiagonalMatrix with diagonal (1,2,3,...) | |
|     m.def("incr_diag", [](int k) { | |
|         Eigen::DiagonalMatrix<int, Eigen::Dynamic> m(k); | |
|         for (int i = 0; i < k; i++) m.diagonal()[i] = i+1; | |
|         return m; | |
|     }); | |
| 
 | |
|     // Returns a SelfAdjointView referencing the lower triangle of m | |
|     m.def("symmetric_lower", [](const Eigen::MatrixXi &m) { | |
|             return m.selfadjointView<Eigen::Lower>(); | |
|     }); | |
|     // Returns a SelfAdjointView referencing the lower triangle of m | |
|     m.def("symmetric_upper", [](const Eigen::MatrixXi &m) { | |
|             return m.selfadjointView<Eigen::Upper>(); | |
|     }); | |
| 
 | |
|     // Test matrix for various functions below. | |
|     Eigen::MatrixXf mat(5, 6); | |
|     mat << 0,  3,  0,  0,  0, 11, | |
|            22, 0,  0,  0, 17, 11, | |
|            7,  5,  0,  1,  0, 11, | |
|            0,  0,  0,  0,  0, 11, | |
|            0,  0, 14,  0,  8, 11; | |
| 
 | |
|     m.def("fixed_r", [mat]() -> FixedMatrixR { return FixedMatrixR(mat); }); | |
|     m.def("fixed_r_const", [mat]() -> const FixedMatrixR { return FixedMatrixR(mat); }); | |
|     m.def("fixed_c", [mat]() -> FixedMatrixC { return FixedMatrixC(mat); }); | |
|     m.def("fixed_copy_r", [](const FixedMatrixR &m) -> FixedMatrixR { return m; }); | |
|     m.def("fixed_copy_c", [](const FixedMatrixC &m) -> FixedMatrixC { return m; }); | |
|     m.def("fixed_mutator_r", [](Eigen::Ref<FixedMatrixR>) {}); | |
|     m.def("fixed_mutator_c", [](Eigen::Ref<FixedMatrixC>) {}); | |
|     m.def("fixed_mutator_a", [](py::EigenDRef<FixedMatrixC>) {}); | |
|     m.def("dense_r", [mat]() -> DenseMatrixR { return DenseMatrixR(mat); }); | |
|     m.def("dense_c", [mat]() -> DenseMatrixC { return DenseMatrixC(mat); }); | |
|     m.def("dense_copy_r", [](const DenseMatrixR &m) -> DenseMatrixR { return m; }); | |
|     m.def("dense_copy_c", [](const DenseMatrixC &m) -> DenseMatrixC { return m; }); | |
|     m.def("sparse_r", [mat]() -> SparseMatrixR { return Eigen::SparseView<Eigen::MatrixXf>(mat); }); | |
|     m.def("sparse_c", [mat]() -> SparseMatrixC { return Eigen::SparseView<Eigen::MatrixXf>(mat); }); | |
|     m.def("sparse_copy_r", [](const SparseMatrixR &m) -> SparseMatrixR { return m; }); | |
|     m.def("sparse_copy_c", [](const SparseMatrixC &m) -> SparseMatrixC { return m; }); | |
|     m.def("partial_copy_four_rm_r", [](const FourRowMatrixR &m) -> FourRowMatrixR { return m; }); | |
|     m.def("partial_copy_four_rm_c", [](const FourColMatrixR &m) -> FourColMatrixR { return m; }); | |
|     m.def("partial_copy_four_cm_r", [](const FourRowMatrixC &m) -> FourRowMatrixC { return m; }); | |
|     m.def("partial_copy_four_cm_c", [](const FourColMatrixC &m) -> FourColMatrixC { return m; }); | |
| 
 | |
|     // Test that we can cast a numpy object to a Eigen::MatrixXd explicitly | |
|     m.def("cpp_copy", [](py::handle m) { return m.cast<Eigen::MatrixXd>()(1, 0); }); | |
|     m.def("cpp_ref_c", [](py::handle m) { return m.cast<Eigen::Ref<Eigen::MatrixXd>>()(1, 0); }); | |
|     m.def("cpp_ref_r", [](py::handle m) { return m.cast<Eigen::Ref<MatrixXdR>>()(1, 0); }); | |
|     m.def("cpp_ref_any", [](py::handle m) { return m.cast<py::EigenDRef<Eigen::MatrixXd>>()(1, 0); }); | |
| 
 | |
| 
 | |
|     // Test that we can prevent copying into an argument that would normally copy: First a version | |
|     // that would allow copying (if types or strides don't match) for comparison: | |
|     m.def("get_elem", &get_elem); | |
|     // Now this alternative that calls the tells pybind to fail rather than copy: | |
|     m.def("get_elem_nocopy", [](Eigen::Ref<const Eigen::MatrixXd> m) -> double { return get_elem(m); }, | |
|             py::arg().noconvert()); | |
|     // Also test a row-major-only no-copy const ref: | |
|     m.def("get_elem_rm_nocopy", [](Eigen::Ref<const Eigen::Matrix<long, -1, -1, Eigen::RowMajor>> &m) -> long { return m(2, 1); }, | |
|             py::arg().noconvert()); | |
| 
 | |
|     // Issue #738: 1xN or Nx1 2D matrices were neither accepted nor properly copied with an | |
|     // incompatible stride value on the length-1 dimension--but that should be allowed (without | |
|     // requiring a copy!) because the stride value can be safely ignored on a size-1 dimension. | |
|     m.def("iss738_f1", &adjust_matrix<const Eigen::Ref<const Eigen::MatrixXd> &>, py::arg().noconvert()); | |
|     m.def("iss738_f2", &adjust_matrix<const Eigen::Ref<const Eigen::Matrix<double, -1, -1, Eigen::RowMajor>> &>, py::arg().noconvert()); | |
| 
 | |
|     // Make sure named arguments are working properly: | |
|     m.def("matrix_multiply", [](const py::EigenDRef<const Eigen::MatrixXd> A, const py::EigenDRef<const Eigen::MatrixXd> B) | |
|             -> Eigen::MatrixXd { | |
|         if (A.cols() != B.rows()) throw std::domain_error("Nonconformable matrices!"); | |
|         return A * B; | |
|     }, py::arg("A"), py::arg("B")); | |
| 
 | |
|     py::class_<CustomOperatorNew>(m, "CustomOperatorNew") | |
|         .def(py::init<>()) | |
|         .def_readonly("a", &CustomOperatorNew::a) | |
|         .def_readonly("b", &CustomOperatorNew::b); | |
| 
 | |
|     // test_eigen_ref_life_support | |
|     // In case of a failure (the caster's temp array does not live long enough), creating | |
|     // a new array (np.ones(10)) increases the chances that the temp array will be garbage | |
|     // collected and/or that its memory will be overridden with different values. | |
|     m.def("get_elem_direct", [](Eigen::Ref<const Eigen::VectorXd> v) { | |
|         py::module::import("numpy").attr("ones")(10); | |
|         return v(5); | |
|     }); | |
|     m.def("get_elem_indirect", [](std::vector<Eigen::Ref<const Eigen::VectorXd>> v) { | |
|         py::module::import("numpy").attr("ones")(10); | |
|         return v[0](5); | |
|     }); | |
| });
 |