Squashed 'third_party/boostorg/ublas/' content from commit e8607b3

Change-Id: Ia06afd642157a24e17fa9ddea28fb8601810b78e
git-subtree-dir: third_party/boostorg/ublas
git-subtree-split: e8607b3eea238e590eca93bfe498c21f470155c1
diff --git a/benchmarks/bench3/bench33.cpp b/benchmarks/bench3/bench33.cpp
new file mode 100644
index 0000000..9b8e107
--- /dev/null
+++ b/benchmarks/bench3/bench33.cpp
@@ -0,0 +1,198 @@
+//
+//  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 "bench3.hpp"
+
+template<class T, int N>
+struct bench_c_matrix_prod {
+    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] = 0;
+                        for (int l = 0; l < N; ++ l) {
+                            m3 [j] [k] += m1 [j] [l] * m2 [l] [k];
+                        }
+                    }
+                }
+//                sink_c_matrix<T, N, N> () (m3);
+            }
+            footer<value_type> () (N * N * N, N * N * (N - 1), runs, t.elapsed ());
+        }
+        catch (std::exception &e) {
+            std::cout << e.what () << std::endl;
+        }
+    }
+};
+template<class M, int N>
+struct bench_my_matrix_prod {
+    typedef typename M::value_type value_type;
+
+    void operator () (int runs, safe_tag) const {
+        try {
+            static M m1 (N, N), m2 (N, N), m3 (N, N);
+            ublas::matrix_range<M> mr1 (m1, ublas::range (0, N), ublas::range (0, N)),
+                                   mr2 (m2, ublas::range (0, N), ublas::range (0, N)),
+                                   mr3 (m3, ublas::range (0, N), ublas::range (0, N));
+            initialize_matrix (mr1);
+            initialize_matrix (mr2);
+            boost::timer t;
+            for (int i = 0; i < runs; ++ i) {
+                mr3 = ublas::prod (mr1, mr2);
+//                sink_matrix (mr3);
+            }
+            footer<value_type> () (N * N * 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 m1 (N, N), m2 (N, N), m3 (N, N);
+            ublas::matrix_range<M> mr1 (m1, ublas::range (0, N), ublas::range (0, N)),
+                                   mr2 (m2, ublas::range (0, N), ublas::range (0, N)),
+                                   mr3 (m3, ublas::range (0, N), ublas::range (0, N));
+            initialize_matrix (mr1);
+            initialize_matrix (mr2);
+            boost::timer t;
+            for (int i = 0; i < runs; ++ i) {
+                mr3.assign (ublas::prod (mr1, mr2));
+//                sink_matrix (mr3);
+            }
+            footer<value_type> () (N * N * N, N * N * (N - 1), runs, t.elapsed ());
+        }
+        catch (std::exception &e) {
+            std::cout << e.what () << std::endl;
+        }
+    }
+};
+template<class M, int N>
+struct bench_cpp_matrix_prod {
+    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) {
+                for (int j = 0; j < N; ++ j) {
+                    std::valarray<value_type> row (m1 [std::slice (N * j, N, 1)]);
+                    for (int k = 0; k < N; ++ k) {
+                        std::valarray<value_type> column (m2 [std::slice (k, N, N)]);
+                        m3 [N * j + k] = (row * column).sum ();
+                    }
+                }
+//                sink_vector (m3);
+            }
+            footer<value_type> () (N * N * N, N * N * (N - 1), runs, t.elapsed ());
+        }
+        catch (std::exception &e) {
+            std::cout << e.what () << std::endl;
+        }
+    }
+};
+
+// Benchmark O (n ^ 3)
+template<class T, int N>
+void bench_3<T, N>::operator () (int runs) {
+    header ("bench_3");
+
+    header ("prod (matrix, matrix)");
+
+    header ("C array");
+    bench_c_matrix_prod<T, N> () (runs);
+
+#ifdef USE_C_ARRAY
+    header ("c_matrix safe");
+    bench_my_matrix_prod<ublas::c_matrix<T, N, N>, N> () (runs, safe_tag ());
+
+    header ("c_matrix fast");
+    bench_my_matrix_prod<ublas::c_matrix<T, N, N>, N> () (runs, fast_tag ());
+#endif
+
+#ifdef USE_BOUNDED_ARRAY
+    header ("matrix<bounded_array> safe");
+    bench_my_matrix_prod<ublas::matrix<T, ublas::row_major, ublas::bounded_array<T, N * N> >, N> () (runs, safe_tag ());
+
+    header ("matrix<bounded_array> fast");
+    bench_my_matrix_prod<ublas::matrix<T, ublas::row_major, ublas::bounded_array<T, N * N> >, N> () (runs, fast_tag ());
+#endif
+
+#ifdef USE_UNBOUNDED_ARRAY
+    header ("matrix<unbounded_array> safe");
+    bench_my_matrix_prod<ublas::matrix<T, ublas::row_major, ublas::unbounded_array<T> >, N> () (runs, safe_tag ());
+
+    header ("matrix<unbounded_array> fast");
+    bench_my_matrix_prod<ublas::matrix<T, ublas::row_major, ublas::unbounded_array<T> >, N> () (runs, fast_tag ());
+#endif
+
+#ifdef USE_STD_VALARRAY
+    header ("matrix<std::valarray> safe");
+    bench_my_matrix_prod<ublas::matrix<T, ublas::row_major, std::valarray<T> >, N> () (runs, safe_tag ());
+
+    header ("matrix<std::valarray> fast");
+    bench_my_matrix_prod<ublas::matrix<T, ublas::row_major, std::valarray<T> >, N> () (runs, fast_tag ());
+#endif
+
+#ifdef USE_STD_VECTOR
+    header ("matrix<std::vector> safe");
+    bench_my_matrix_prod<ublas::matrix<T, ublas::row_major, std::vector<T> >, N> () (runs, safe_tag ());
+
+    header ("matrix<std::vector> fast");
+    bench_my_matrix_prod<ublas::matrix<T, ublas::row_major, std::vector<T> >, N> () (runs, fast_tag ());
+#endif
+
+#ifdef USE_STD_VALARRAY
+    header ("std::valarray");
+    bench_cpp_matrix_prod<std::valarray<T>, N> () (runs);
+#endif
+}
+
+#ifdef USE_FLOAT
+template struct bench_3<float, 3>;
+template struct bench_3<float, 10>;
+template struct bench_3<float, 30>;
+template struct bench_3<float, 100>;
+#endif
+
+#ifdef USE_DOUBLE
+template struct bench_3<double, 3>;
+template struct bench_3<double, 10>;
+template struct bench_3<double, 30>;
+template struct bench_3<double, 100>;
+#endif
+
+#ifdef USE_STD_COMPLEX
+#ifdef USE_FLOAT
+template struct bench_3<std::complex<float>, 3>;
+template struct bench_3<std::complex<float>, 10>;
+template struct bench_3<std::complex<float>, 30>;
+template struct bench_3<std::complex<float>, 100>;
+#endif
+
+#ifdef USE_DOUBLE
+template struct bench_3<std::complex<double>, 3>;
+template struct bench_3<std::complex<double>, 10>;
+template struct bench_3<std::complex<double>, 30>;
+template struct bench_3<std::complex<double>, 100>;
+#endif
+#endif