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      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2010 Hauke Heibel <hauke.heibel (at) gmail.com>
      5 // Copyright (C) 2015 Gael Guennebaud <gael.guennebaud (at) inria.fr>
      6 //
      7 // This Source Code Form is subject to the terms of the Mozilla
      8 // Public License v. 2.0. If a copy of the MPL was not distributed
      9 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
     10 
     11 #define TEST_ENABLE_TEMPORARY_TRACKING
     12 
     13 #include "main.h"
     14 
     15 template <int N, typename XprType>
     16 void use_n_times(const XprType &xpr)
     17 {
     18   typename internal::nested_eval<XprType,N>::type mat(xpr);
     19   typename XprType::PlainObject res(mat.rows(), mat.cols());
     20   nb_temporaries--; // remove res
     21   res.setZero();
     22   for(int i=0; i<N; ++i)
     23     res += mat;
     24 }
     25 
     26 template <int N, typename ReferenceType, typename XprType>
     27 bool verify_eval_type(const XprType &, const ReferenceType&)
     28 {
     29   typedef typename internal::nested_eval<XprType,N>::type EvalType;
     30   return internal::is_same<typename internal::remove_all<EvalType>::type, typename internal::remove_all<ReferenceType>::type>::value;
     31 }
     32 
     33 template <typename MatrixType> void run_nesting_ops_1(const MatrixType& _m)
     34 {
     35   typename internal::nested_eval<MatrixType,2>::type m(_m);
     36 
     37   // Make really sure that we are in debug mode!
     38   VERIFY_RAISES_ASSERT(eigen_assert(false));
     39 
     40   // The only intention of these tests is to ensure that this code does
     41   // not trigger any asserts or segmentation faults... more to come.
     42   VERIFY_IS_APPROX( (m.transpose() * m).diagonal().sum(), (m.transpose() * m).diagonal().sum() );
     43   VERIFY_IS_APPROX( (m.transpose() * m).diagonal().array().abs().sum(), (m.transpose() * m).diagonal().array().abs().sum() );
     44 
     45   VERIFY_IS_APPROX( (m.transpose() * m).array().abs().sum(), (m.transpose() * m).array().abs().sum() );
     46 }
     47 
     48 template <typename MatrixType> void run_nesting_ops_2(const MatrixType& _m)
     49 {
     50   typedef typename MatrixType::Scalar Scalar;
     51   Index rows = _m.rows();
     52   Index cols = _m.cols();
     53   MatrixType m1 = MatrixType::Random(rows,cols);
     54   Matrix<Scalar,MatrixType::RowsAtCompileTime,MatrixType::ColsAtCompileTime,ColMajor> m2;
     55 
     56   if((MatrixType::SizeAtCompileTime==Dynamic))
     57   {
     58     VERIFY_EVALUATION_COUNT( use_n_times<1>(m1 + m1*m1), 1 );
     59     VERIFY_EVALUATION_COUNT( use_n_times<10>(m1 + m1*m1), 1 );
     60 
     61     VERIFY_EVALUATION_COUNT( use_n_times<1>(m1.template triangularView<Lower>().solve(m1.col(0))), 1 );
     62     VERIFY_EVALUATION_COUNT( use_n_times<10>(m1.template triangularView<Lower>().solve(m1.col(0))), 1 );
     63 
     64     VERIFY_EVALUATION_COUNT( use_n_times<1>(Scalar(2)*m1.template triangularView<Lower>().solve(m1.col(0))), 2 ); // FIXME could be one by applying the scaling in-place on the solve result
     65     VERIFY_EVALUATION_COUNT( use_n_times<1>(m1.col(0)+m1.template triangularView<Lower>().solve(m1.col(0))), 2 ); // FIXME could be one by adding m1.col() inplace
     66     VERIFY_EVALUATION_COUNT( use_n_times<10>(m1.col(0)+m1.template triangularView<Lower>().solve(m1.col(0))), 2 );
     67   }
     68 
     69   {
     70     VERIFY( verify_eval_type<10>(m1, m1) );
     71     if(!NumTraits<Scalar>::IsComplex)
     72     {
     73       VERIFY( verify_eval_type<3>(2*m1, 2*m1) );
     74       VERIFY( verify_eval_type<4>(2*m1, m1) );
     75     }
     76     else
     77     {
     78       VERIFY( verify_eval_type<2>(2*m1, 2*m1) );
     79       VERIFY( verify_eval_type<3>(2*m1, m1) );
     80     }
     81     VERIFY( verify_eval_type<2>(m1+m1, m1+m1) );
     82     VERIFY( verify_eval_type<3>(m1+m1, m1) );
     83     VERIFY( verify_eval_type<1>(m1*m1.transpose(), m2) );
     84     VERIFY( verify_eval_type<1>(m1*(m1+m1).transpose(), m2) );
     85     VERIFY( verify_eval_type<2>(m1*m1.transpose(), m2) );
     86     VERIFY( verify_eval_type<1>(m1+m1*m1, m1) );
     87 
     88     VERIFY( verify_eval_type<1>(m1.template triangularView<Lower>().solve(m1), m1) );
     89     VERIFY( verify_eval_type<1>(m1+m1.template triangularView<Lower>().solve(m1), m1) );
     90   }
     91 }
     92 
     93 
     94 void test_nesting_ops()
     95 {
     96   CALL_SUBTEST_1(run_nesting_ops_1(MatrixXf::Random(25,25)));
     97   CALL_SUBTEST_2(run_nesting_ops_1(MatrixXcd::Random(25,25)));
     98   CALL_SUBTEST_3(run_nesting_ops_1(Matrix4f::Random()));
     99   CALL_SUBTEST_4(run_nesting_ops_1(Matrix2d::Random()));
    100 
    101   Index s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE);
    102   CALL_SUBTEST_1( run_nesting_ops_2(MatrixXf(s,s)) );
    103   CALL_SUBTEST_2( run_nesting_ops_2(MatrixXcd(s,s)) );
    104   CALL_SUBTEST_3( run_nesting_ops_2(Matrix4f()) );
    105   CALL_SUBTEST_4( run_nesting_ops_2(Matrix2d()) );
    106   TEST_SET_BUT_UNUSED_VARIABLE(s)
    107 }
    108