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