boost_1_45_0/libs/numeric/ublas/bench2/bench22.cpp

//
//  Copyright (c) 2000-2002
//  Joerg Walter, Mathias Koch
//
//  Distributed under the Boost Software License, Version 1.0. (See
//  accompanying file LICENSE_1_0.txt or copy at
//  http://www.boost.org/LICENSE_1_0.txt)
//
//  The authors gratefully acknowledge the support of
//  GeNeSys mbH & Co. KG in producing this work.
//

#include "bench2.hpp"

template<class T, int N>
struct bench_c_outer_prod {
    typedef T value_type;

    void operator () (int runs) const {
        try {
            static typename c_matrix_traits<T, N, N>::type m;
            static typename c_vector_traits<T, N>::type v1, v2;
            initialize_c_vector<T, N> () (v1);
            initialize_c_vector<T, N> () (v2);
            boost::timer t;
            for (int i = 0; i < runs; ++ i) {
                for (int j = 0; j < N; ++ j) {
                    for (int k = 0; k < N; ++ k) {
                        m [j] [k] = - v1 [j] * v2 [k];
                    }
                }
//                sink_c_matrix<T, N, N> () (m);
            }
            footer<value_type> () (N * N, N * N, runs, t.elapsed ());
        }
        catch (std::exception &e) {
            std::cout << e.what () << std::endl;
        }
    }
};
template<class M, class V, int N>
struct bench_my_outer_prod {
    typedef typename M::value_type value_type;

    void operator () (int runs, safe_tag) const {
        try {
            static M m (N, N, N * N);
            static V v1 (N, N), v2 (N, N);
            initialize_vector (v1);
            initialize_vector (v2);
            boost::timer t;
            for (int i = 0; i < runs; ++ i) {
                m = - ublas::outer_prod (v1, v2);
//                sink_matrix (m);
            }
            footer<value_type> () (N * N, N * N, runs, t.elapsed ());
        }
        catch (std::exception &e) {
            std::cout << e.what () << std::endl;
        }
    }
    void operator () (int runs, fast_tag) const {
        try {
            static M m (N, N, N * N);
            static V v1 (N, N), v2 (N, N);
            initialize_vector (v1);
            initialize_vector (v2);
            boost::timer t;
            for (int i = 0; i < runs; ++ i) {
                m.assign (- ublas::outer_prod (v1, v2));
//                sink_matrix (m);
            }
            footer<value_type> () (N * N, N * N, runs, t.elapsed ());
        }
        catch (std::exception &e) {
            std::cout << e.what () << std::endl;
        }
    }
};
template<class M, class V, int N>
struct bench_cpp_outer_prod {
    typedef typename M::value_type value_type;

    void operator () (int runs) const {
        try {
            static M m (N * N);
            static V v1 (N), v2 (N);
            initialize_vector (v1);
            initialize_vector (v2);
            boost::timer t;
            for (int i = 0; i < runs; ++ i) {
                for (int j = 0; j < N; ++ j) {
                    for (int k = 0; k < N; ++ k) {
                        m [N * j + k] = - v1 [j] * v2 [k];
                    }
                }
//                sink_vector (m);
            }
            footer<value_type> () (N * N, N * N, runs, t.elapsed ());
        }
        catch (std::exception &e) {
            std::cout << e.what () << std::endl;
        }
    }
};

template<class T, int N>
struct bench_c_matrix_vector_prod {
    typedef T value_type;

    void operator () (int runs) const {
        try {
            static typename c_matrix_traits<T, N, N>::type m;
            static typename c_vector_traits<T, N>::type v1, v2;
            initialize_c_matrix<T, N, N> () (m);
            initialize_c_vector<T, N> () (v1);
            boost::timer t;
            for (int i = 0; i < runs; ++ i) {
                for (int j = 0; j < N; ++ j) {
                    v2 [j] = 0;
                    for (int k = 0; k < N; ++ k) {
                        v2 [j] += m [j] [k] * v1 [k];
                    }
                }
//                sink_c_vector<T, N> () (v2);
            }
            footer<value_type> () (N * N, N * (N - 1), runs, t.elapsed ());
        }
        catch (std::exception &e) {
            std::cout << e.what () << std::endl;
        }
    }
};
template<class M, class V, int N>
struct bench_my_matrix_vector_prod {
    typedef typename M::value_type value_type;

    void operator () (int runs, safe_tag) const {
        try {
            static M m (N, N, N * N);
            static V v1 (N, N), v2 (N, N);
            initialize_matrix (m);
            initialize_vector (v1);
            boost::timer t;
            for (int i = 0; i < runs; ++ i) {
                v2 = ublas::prod (m, v1);
//                sink_vector (v2);
            }
            footer<value_type> () (N * N, N * (N - 1), runs, t.elapsed ());
        }
        catch (std::exception &e) {
            std::cout << e.what () << std::endl;
        }
    }
    void operator () (int runs, fast_tag) const {
        try {
            static M m (N, N, N * N);
            static V v1 (N, N), v2 (N, N);
            initialize_matrix (m);
            initialize_vector (v1);
            boost::timer t;
            for (int i = 0; i < runs; ++ i) {
                v2.assign (ublas::prod (m, v1));
//                sink_vector (v2);
            }
            footer<value_type> () (N * N, N * (N - 1), runs, t.elapsed ());
        }
        catch (std::exception &e) {
            std::cout << e.what () << std::endl;
        }
    }
};
template<class M, class V, int N>
struct bench_cpp_matrix_vector_prod {
    typedef typename M::value_type value_type;

    void operator () (int runs) const {
        try {
            static M m (N * N);
            static V v1 (N), v2 (N);
            initialize_vector (m);
            initialize_vector (v1);
            boost::timer t;
            for (int i = 0; i < runs; ++ i) {
                for (int j = 0; j < N; ++ j) {
                    std::valarray<value_type> row (m [std::slice (N * j, N, 1)]);
                    v2 [j] = (row * v1).sum ();
                }
//                sink_vector (v2);
            }
            footer<value_type> () (N * N, N * (N - 1), runs, t.elapsed ());
        }
        catch (std::exception &e) {
            std::cout << e.what () << std::endl;
        }
    }
};

template<class T, int N>
struct bench_c_matrix_add {
    typedef T value_type;

    void operator () (int runs) const {
        try {
            static typename c_matrix_traits<T, N, N>::type m1, m2, m3;
            initialize_c_matrix<T, N, N> () (m1);
            initialize_c_matrix<T, N, N> () (m2);
            boost::timer t;
            for (int i = 0; i < runs; ++ i) {
                for (int j = 0; j < N; ++ j) {
                    for (int k = 0; k < N; ++ k) {
                        m3 [j] [k] = - (m1 [j] [k] + m2 [j] [k]);
                    }
                }
//                sink_c_matrix<T, N, N> () (m3);
            }
            footer<value_type> () (0, 2 * N * N, runs, t.elapsed ());
        }
        catch (std::exception &e) {
            std::cout << e.what () << std::endl;
        }
    }
};
template<class M, int N>
struct bench_my_matrix_add {
    typedef typename M::value_type value_type;

    void operator () (int runs, safe_tag) const {
        try {
            static M m1 (N, N, N * N), m2 (N, N, N * N), m3 (N, N, N * N);
            initialize_matrix (m1);
            initialize_matrix (m2);
            boost::timer t;
            for (int i = 0; i < runs; ++ i) {
                m3 = - (m1 + m2);
//                sink_matrix (m3);
            }
            footer<value_type> () (0, 2 * N * N, runs, t.elapsed ());
        }
        catch (std::exception &e) {
            std::cout << e.what () << std::endl;
        }
    }
    void operator () (int runs, fast_tag) const {
        try {
            static M m1 (N, N, N * N), m2 (N, N, N * N), m3 (N, N, N * N);
            initialize_matrix (m1);
            initialize_matrix (m2);
            boost::timer t;
            for (int i = 0; i < runs; ++ i) {
                m3.assign (- (m1 + m2));
//                sink_matrix (m3);
            }
            footer<value_type> () (0, 2 * N * N, runs, t.elapsed ());
        }
        catch (std::exception &e) {
            std::cout << e.what () << std::endl;
        }
    }
};
template<class M, int N>
struct bench_cpp_matrix_add {
    typedef typename M::value_type value_type;

    void operator () (int runs) const {
        try {
            static M m1 (N * N), m2 (N * N), m3 (N * N);
            initialize_vector (m1);
            initialize_vector (m2);
            boost::timer t;
            for (int i = 0; i < runs; ++ i) {
                m3 = - (m1 + m2);
//                sink_vector (m3);
            }
            footer<value_type> () (0, 2 * N * N, runs, t.elapsed ());
        }
        catch (std::exception &e) {
            std::cout << e.what () << std::endl;
        }
    }
};

// Benchmark O (n ^ 2)
template<class T, int N>
void bench_2<T, N>::operator () (int runs) {
    header ("bench_2");

    header ("outer_prod");

    header ("C array");
    bench_c_outer_prod<T, N> () (runs);

#ifdef USE_SPARSE_MATRIX
#ifdef USE_MAP_ARRAY
    header ("sparse_matrix<map_array>, sparse_vector<map_array> safe");
    bench_my_outer_prod<ublas::sparse_matrix<T, ublas::row_major, ublas::map_array<std::size_t, T> >,
                        ublas::sparse_vector<T, ublas::map_array<std::size_t, T> >, N> () (runs, safe_tag ());

    header ("sparse_matrix<map_array>, sparse_vector<map_array> fast");
    bench_my_outer_prod<ublas::sparse_matrix<T, ublas::row_major, ublas::map_array<std::size_t, T> >,
                        ublas::sparse_vector<T, ublas::map_array<std::size_t, T> >, N> () (runs, fast_tag ());
#endif

#ifdef USE_STD_MAP
    header ("sparse_matrix<std::map>, sparse_vector<std::map> safe");
    bench_my_outer_prod<ublas::sparse_matrix<T, ublas::row_major, std::map<std::size_t, T> >,
                        ublas::sparse_vector<T, std::map<std::size_t, T> >, N> () (runs, safe_tag ());

    header ("sparse_matrix<std::map>, sparse_vector<std::map> fast");
    bench_my_outer_prod<ublas::sparse_matrix<T, ublas::row_major, std::map<std::size_t, T> >,
                        ublas::sparse_vector<T, std::map<std::size_t, T> >, N> () (runs, fast_tag ());
#endif
#endif

#ifdef USE_COMPRESSED_MATRIX
    header ("compressed_matrix, compressed_vector safe");
    bench_my_outer_prod<ublas::compressed_matrix<T, ublas::row_major>,
                        ublas::compressed_vector<T>, N> () (runs, safe_tag ());

    header ("compressed_matrix, compressed_vector fast");
    bench_my_outer_prod<ublas::compressed_matrix<T, ublas::row_major>,
                        ublas::compressed_vector<T>, N> () (runs, fast_tag ());
#endif

#ifdef USE_COORDINATE_MATRIX
    header ("coordinate_matrix, coordinate_vector safe");
    bench_my_outer_prod<ublas::coordinate_matrix<T, ublas::row_major>,
                        ublas::coordinate_vector<T>, N> () (runs, safe_tag ());

    header ("coordinate_matrix, coordinate_vector fast");
    bench_my_outer_prod<ublas::coordinate_matrix<T, ublas::row_major>,
                        ublas::coordinate_vector<T>, N> () (runs, fast_tag ());
#endif

#ifdef USE_STD_VALARRAY
    header ("std::valarray");
    bench_cpp_outer_prod<std::valarray<T>, std::valarray<T>, N> () (runs);
#endif

    header ("prod (matrix, vector)");

    header ("C array");
    bench_c_matrix_vector_prod<T, N> () (runs);

#ifdef USE_SPARSE_MATRIX
#ifdef USE_MAP_ARRAY
    header ("sparse_matrix<map_array>, sparse_vector<map_array> safe");
    bench_my_matrix_vector_prod<ublas::sparse_matrix<T, ublas::row_major, ublas::map_array<std::size_t, T> >,
                                ublas::sparse_vector<T, ublas::map_array<std::size_t, T> >, N> () (runs, safe_tag ());

    header ("sparse_matrix<map_array>, sparse_vector<map_array> fast");
    bench_my_matrix_vector_prod<ublas::sparse_matrix<T, ublas::row_major, ublas::map_array<std::size_t, T> >,
                                ublas::sparse_vector<T, ublas::map_array<std::size_t, T> >, N> () (runs, fast_tag ());
#endif

#ifdef USE_STD_MAP
    header ("sparse_matrix<std::map>, sparse_vector<std::map> safe");
    bench_my_matrix_vector_prod<ublas::sparse_matrix<T, ublas::row_major, std::map<std::size_t, T> >,
                                ublas::sparse_vector<T, std::map<std::size_t, T> >, N> () (runs, safe_tag ());

    header ("sparse_matrix<std::map>, sparse_vector<std::map> fast");
    bench_my_matrix_vector_prod<ublas::sparse_matrix<T, ublas::row_major, std::map<std::size_t, T> >,
                                ublas::sparse_vector<T, std::map<std::size_t, T> >, N> () (runs, fast_tag ());
#endif
#endif

#ifdef USE_COMPRESSED_MATRIX
    header ("compressed_matrix, compressed_vector safe");
    bench_my_matrix_vector_prod<ublas::compressed_matrix<T, ublas::row_major>,
                                ublas::compressed_vector<T>, N> () (runs, safe_tag ());

    header ("compressed_matrix, compressed_vector fast");
    bench_my_matrix_vector_prod<ublas::compressed_matrix<T, ublas::row_major>,
                                ublas::compressed_vector<T>, N> () (runs, fast_tag ());
#endif

#ifdef USE_COORDINATE_MATRIX
    header ("coordinate_matrix, coordinate_vector safe");
    bench_my_matrix_vector_prod<ublas::coordinate_matrix<T, ublas::row_major>,
                                ublas::coordinate_vector<T>, N> () (runs, safe_tag ());

    header ("coordinate_matrix, coordinate_vector fast");
    bench_my_matrix_vector_prod<ublas::coordinate_matrix<T, ublas::row_major>,
                                ublas::coordinate_vector<T>, N> () (runs, fast_tag ());
#endif

#ifdef USE_STD_VALARRAY
    header ("std::valarray");
    bench_cpp_matrix_vector_prod<std::valarray<T>, std::valarray<T>, N> () (runs);
#endif

    header ("matrix + matrix");

    header ("C array");
    bench_c_matrix_add<T, N> () (runs);

#ifdef USE_SPARSE_MATRIX
#ifdef USE_MAP_ARRAY
    header ("sparse_matrix<map_array> safe");
    bench_my_matrix_add<ublas::sparse_matrix<T, ublas::row_major, ublas::map_array<std::size_t, T> >, N> () (runs, safe_tag ());

    header ("sparse_matrix<map_array> fast");
    bench_my_matrix_add<ublas::sparse_matrix<T, ublas::row_major, ublas::map_array<std::size_t, T> >, N> () (runs, fast_tag ());
#endif

#ifdef USE_STD_MAP
    header ("sparse_matrix<std::map> safe");
    bench_my_matrix_add<ublas::sparse_matrix<T, ublas::row_major, std::map<std::size_t, T> >, N> () (runs, safe_tag ());

    header ("sparse_matrix<std::map> fast");
    bench_my_matrix_add<ublas::sparse_matrix<T, ublas::row_major, std::map<std::size_t, T> >, N> () (runs, fast_tag ());
#endif
#endif

#ifdef USE_COMPRESSED_MATRIX
    header ("compressed_matrix safe");
    bench_my_matrix_add<ublas::compressed_matrix<T, ublas::row_major>, N> () (runs, safe_tag ());

    header ("compressed_matrix fast");
    bench_my_matrix_add<ublas::compressed_matrix<T, ublas::row_major>, N> () (runs, fast_tag ());
#endif

#ifdef USE_COORDINATE_MATRIX
    header ("coordinate_matrix safe");
    bench_my_matrix_add<ublas::coordinate_matrix<T, ublas::row_major>, N> () (runs, safe_tag ());

    header ("coordinate_matrix fast");
    bench_my_matrix_add<ublas::coordinate_matrix<T, ublas::row_major>, N> () (runs, fast_tag ());
#endif

#ifdef USE_STD_VALARRAY
    header ("std::valarray");
    bench_cpp_matrix_add<std::valarray<T>, N> () (runs);
#endif
}

#ifdef USE_FLOAT
template struct bench_2<float, 3>;
template struct bench_2<float, 10>;
template struct bench_2<float, 30>;
template struct bench_2<float, 100>;
#endif

#ifdef USE_DOUBLE
template struct bench_2<double, 3>;
template struct bench_2<double, 10>;
template struct bench_2<double, 30>;
template struct bench_2<double, 100>;
#endif

#ifdef USE_STD_COMPLEX
#ifdef USE_FLOAT
template struct bench_2<std::complex<float>, 3>;
template struct bench_2<std::complex<float>, 10>;
template struct bench_2<std::complex<float>, 30>;
template struct bench_2<std::complex<float>, 100>;
#endif

#ifdef USE_DOUBLE
template struct bench_2<std::complex<double>, 3>;
template struct bench_2<std::complex<double>, 10>;
template struct bench_2<std::complex<double>, 30>;
template struct bench_2<std::complex<double>, 100>;
#endif
#endif