eigen/test/sparse_ref.cpp

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2015 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.

// This unit test cannot be easily written to work with EIGEN_DEFAULT_TO_ROW_MAJOR
#ifdef EIGEN_DEFAULT_TO_ROW_MAJOR
#undef EIGEN_DEFAULT_TO_ROW_MAJOR
#endif

static long int nb_temporaries;

inline void on_temporary_creation() {
  // here's a great place to set a breakpoint when debugging failures in this test!
  nb_temporaries++;
}

#define EIGEN_SPARSE_CREATE_TEMPORARY_PLUGIN \
  { on_temporary_creation(); }

#include "main.h"
#include <Eigen/SparseCore>

#define VERIFY_EVALUATION_COUNT(XPR, N)                                                   \
  {                                                                                       \
    nb_temporaries = 0;                                                                   \
    CALL_SUBTEST(XPR);                                                                    \
    if (nb_temporaries != N) std::cerr << "nb_temporaries == " << nb_temporaries << "\n"; \
    VERIFY((#XPR) && nb_temporaries == N);                                                \
  }

template <typename PlainObjectType>
void check_const_correctness(const PlainObjectType &) {
  // verify that ref-to-const don't have LvalueBit
  typedef std::add_const_t<PlainObjectType> ConstPlainObjectType;
  VERIFY(!(internal::traits<Ref<ConstPlainObjectType> >::Flags & LvalueBit));
  VERIFY(!(internal::traits<Ref<ConstPlainObjectType, Aligned> >::Flags & LvalueBit));
  VERIFY(!(Ref<ConstPlainObjectType>::Flags & LvalueBit));
  VERIFY(!(Ref<ConstPlainObjectType, Aligned>::Flags & LvalueBit));
}

template <typename B>
EIGEN_DONT_INLINE void call_ref_1(Ref<SparseMatrix<float> > a, const B &b) {
  VERIFY_IS_EQUAL(a.toDense(), b.toDense());
}

template <typename B>
EIGEN_DONT_INLINE void call_ref_2(const Ref<const SparseMatrix<float> > &a, const B &b) {
  VERIFY_IS_EQUAL(a.toDense(), b.toDense());
}

template <typename B>
EIGEN_DONT_INLINE void call_ref_3(const Ref<const SparseMatrix<float>, StandardCompressedFormat> &a, const B &b) {
  VERIFY(a.isCompressed());
  VERIFY_IS_EQUAL(a.toDense(), b.toDense());
}

template <typename B>
EIGEN_DONT_INLINE void call_ref_4(Ref<SparseVector<float> > a, const B &b) {
  VERIFY_IS_EQUAL(a.toDense(), b.toDense());
}

template <typename B>
EIGEN_DONT_INLINE void call_ref_5(const Ref<const SparseVector<float> > &a, const B &b) {
  VERIFY_IS_EQUAL(a.toDense(), b.toDense());
}

void call_ref() {
  SparseMatrix<float> A = MatrixXf::Random(10, 10).sparseView(0.5, 1);
  SparseMatrix<float, RowMajor> B = MatrixXf::Random(10, 10).sparseView(0.5, 1);
  SparseMatrix<float> C = MatrixXf::Random(10, 10).sparseView(0.5, 1);
  C.reserve(VectorXi::Constant(C.outerSize(), 2));
  const SparseMatrix<float> &Ac(A);
  Block<SparseMatrix<float> > Ab(A, 0, 1, 3, 3);
  const Block<SparseMatrix<float> > Abc(A, 0, 1, 3, 3);
  SparseVector<float> vc = VectorXf::Random(10).sparseView(0.5, 1);
  SparseVector<float, RowMajor> vr = VectorXf::Random(10).sparseView(0.5, 1);
  SparseMatrix<float> AA = A * A;

  VERIFY_EVALUATION_COUNT(call_ref_1(A, A), 0);
  //   VERIFY_EVALUATION_COUNT( call_ref_1(Ac, Ac),  0); // does not compile on purpose
  VERIFY_EVALUATION_COUNT(call_ref_2(A, A), 0);
  VERIFY_EVALUATION_COUNT(call_ref_3(A, A), 0);
  VERIFY_EVALUATION_COUNT(call_ref_2(A.transpose(), A.transpose()), 1);
  VERIFY_EVALUATION_COUNT(call_ref_3(A.transpose(), A.transpose()), 1);
  VERIFY_EVALUATION_COUNT(call_ref_2(Ac, Ac), 0);
  VERIFY_EVALUATION_COUNT(call_ref_3(Ac, Ac), 0);
  VERIFY_EVALUATION_COUNT(call_ref_2(A + A, 2 * Ac), 1);
  VERIFY_EVALUATION_COUNT(call_ref_3(A + A, 2 * Ac), 1);
  VERIFY_EVALUATION_COUNT(call_ref_2(B, B), 1);
  VERIFY_EVALUATION_COUNT(call_ref_3(B, B), 1);
  VERIFY_EVALUATION_COUNT(call_ref_2(B.transpose(), B.transpose()), 0);
  VERIFY_EVALUATION_COUNT(call_ref_3(B.transpose(), B.transpose()), 0);
  VERIFY_EVALUATION_COUNT(call_ref_2(A * A, AA), 3);
  VERIFY_EVALUATION_COUNT(call_ref_3(A * A, AA), 3);

  VERIFY(!C.isCompressed());
  VERIFY_EVALUATION_COUNT(call_ref_3(C, C), 1);

  Ref<SparseMatrix<float> > Ar(A);
  VERIFY_IS_APPROX(Ar + Ar, A + A);
  VERIFY_EVALUATION_COUNT(call_ref_1(Ar, A), 0);
  VERIFY_EVALUATION_COUNT(call_ref_2(Ar, A), 0);

  Ref<SparseMatrix<float, RowMajor> > Br(B);
  VERIFY_EVALUATION_COUNT(call_ref_1(Br.transpose(), Br.transpose()), 0);
  VERIFY_EVALUATION_COUNT(call_ref_2(Br, Br), 1);
  VERIFY_EVALUATION_COUNT(call_ref_2(Br.transpose(), Br.transpose()), 0);

  Ref<const SparseMatrix<float> > Arc(A);
  //   VERIFY_EVALUATION_COUNT( call_ref_1(Arc, Arc),  0); // does not compile on purpose
  VERIFY_EVALUATION_COUNT(call_ref_2(Arc, Arc), 0);

  VERIFY_EVALUATION_COUNT(call_ref_2(A.middleCols(1, 3), A.middleCols(1, 3)), 0);

  VERIFY_EVALUATION_COUNT(call_ref_2(A.col(2), A.col(2)), 0);
  VERIFY_EVALUATION_COUNT(call_ref_2(vc, vc), 0);
  VERIFY_EVALUATION_COUNT(call_ref_2(vr.transpose(), vr.transpose()), 0);
  VERIFY_EVALUATION_COUNT(call_ref_2(vr, vr.transpose()), 0);

  VERIFY_EVALUATION_COUNT(call_ref_2(A.block(1, 1, 3, 3), A.block(1, 1, 3, 3)),
                          1);  // should be 0 (allocate starts/nnz only)

  VERIFY_EVALUATION_COUNT(call_ref_4(vc, vc), 0);
  VERIFY_EVALUATION_COUNT(call_ref_4(vr, vr.transpose()), 0);
  VERIFY_EVALUATION_COUNT(call_ref_5(vc, vc), 0);
  VERIFY_EVALUATION_COUNT(call_ref_5(vr, vr.transpose()), 0);
  VERIFY_EVALUATION_COUNT(call_ref_4(A.col(2), A.col(2)), 0);
  VERIFY_EVALUATION_COUNT(call_ref_5(A.col(2), A.col(2)), 0);
  // VERIFY_EVALUATION_COUNT( call_ref_4(A.row(2), A.row(2).transpose()),  1); // does not compile on purpose
  VERIFY_EVALUATION_COUNT(call_ref_5(A.row(2), A.row(2).transpose()), 1);
}

EIGEN_DECLARE_TEST(sparse_ref) {
  for (int i = 0; i < g_repeat; i++) {
    CALL_SUBTEST_1(check_const_correctness(SparseMatrix<float>()));
    CALL_SUBTEST_1(check_const_correctness(SparseMatrix<double, RowMajor>()));
    CALL_SUBTEST_2(call_ref());

    CALL_SUBTEST_3(check_const_correctness(SparseVector<float>()));
    CALL_SUBTEST_3(check_const_correctness(SparseVector<double, RowMajor>()));
  }
}