Linear Algebra support added

example/linear_algebra.cpp

@@ -0,0 +1,181 @@
+// The MIT License (MIT)
+//
+// Copyright (c) 2018 Mateusz Pusz
+//
+// Permission is hereby granted, free of charge, to any person obtaining a copy
+// of this software and associated documentation files (the "Software"), to deal
+// in the Software without restriction, including without limitation the rights
+// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the Software is
+// furnished to do so, subject to the following conditions:
+//
+// The above copyright notice and this permission notice shall be included in all
+// copies or substantial portions of the Software.
+//
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+// SOFTWARE.
+
+#include <units/physical/si/velocity.h>
+#include <units/physical/si/force.h>
+#include <units/physical/si/energy.h>
+#include <units/format.h>
+#include <linear_algebra.hpp>
+#include <iostream>
+
+namespace {
+
+template<class ET, class OT>
+std::ostream& operator<<(std::ostream& os, const std::experimental::math::vector<ET, OT>& v)
+{
+  os << "|";
+  for (size_t i = 0;  i < v.size();  ++i) {
+    os << fmt::format(" {:>9}", v(i));
+  }
+  os << " |";
+  return os;
+}
+
+template<class ET, class OT>
+std::ostream& operator<<(std::ostream& os, const std::experimental::math::matrix<ET, OT>& v)
+{
+  for (size_t i = 0;  i < v.rows();  ++i) {
+    os << "|";
+    for (size_t j = 0;  j < v.columns();  ++j) {
+      os << fmt::format(" {:>9}", v(i, j));
+    }
+    os << (i != v.rows() - 1 ? " |\n" : " |");
+  }
+  return os;
+}
+
+
+using namespace std::experimental::math;
+using namespace units;
+using namespace si::literals;
+
+void vector_of_quantity_add()
+{
+  std::cout << "\nvector_of_quantity_add:\n";
+
+  fs_vector<si::length<si::metre>, 3> v = { 1q_m, 2q_m, 3q_m };
+  fs_vector<si::length<si::metre>, 3> u = { 3q_m, 2q_m, 1q_m };
+  fs_vector<si::length<si::kilometre>, 3> t = { 3q_km, 2q_km, 1q_km };
+
+  auto x = v + u;
+  std::cout << "x = " << x << "\n";
+
+  auto y = v + t;
+  std::cout << "y = " << y << "\n";
+
+  fs_vector<si::length<si::metre>, 3> z = t;
+  std::cout << "z = " << z << "\n";
+}
+
+void vector_of_quantity_multiply_same()
+{
+  std::cout << "\nvector_of_quantity_multiply_same:\n";
+
+  fs_vector<si::length<si::metre>, 3> v = { 1q_m, 2q_m, 3q_m };
+  fs_vector<si::length<si::metre>, 3> u = { 3q_m, 2q_m, 1q_m };
+
+  auto x = v * u;
+  std::cout << "x = " << x << "\n";
+
+  auto y = 2q_m * v;
+  std::cout << "y = " << y << "\n";
+}
+
+void vector_of_quantity_multiply_different()
+{
+  std::cout << "\nvector_of_quantity_multiply_different:\n";
+
+  fs_vector<si::force<si::newton>, 3> v = { 1q_N, 2q_N, 3q_N };
+  fs_vector<si::length<si::metre>, 3> u = { 3q_m, 2q_m, 1q_m };
+
+  auto x = v * u;
+  std::cout << "x = " << x << "\n";
+
+  auto y = 2q_N * u;
+  std::cout << "y = " << y << "\n";
+
+  auto z = 2 * u;
+  std::cout << "z = " << z << "\n";
+}
+
+void vector_of_quantity_tests()
+{
+  vector_of_quantity_add();
+  vector_of_quantity_multiply_same();
+  vector_of_quantity_multiply_different();
+}
+
+void matrix_of_quantity_add()
+{
+  std::cout << "\nmatrix_of_quantity_add:\n";
+
+  fs_matrix<si::length<si::metre>, 3, 3> v = {{ 1q_m, 2q_m, 3q_m }, { 4q_m, 5q_m, 6q_m }, { 7q_m, 8q_m, 9q_m }};
+  fs_matrix<si::length<si::metre>, 3, 3> u = {{ 3q_m, 2q_m, 1q_m }, { 3q_m, 2q_m, 1q_m }, { 3q_m, 2q_m, 1q_m }};
+  fs_matrix<si::length<si::millimetre>, 3, 3> t = {{ 3q_mm, 2q_mm, 1q_mm }, { 3q_mm, 2q_mm, 1q_mm }, { 3q_mm, 2q_mm, 1q_mm }};
+
+  auto x = v + u;
+  std::cout << "x =\n" << x << "\n";
+
+  auto y = v + t;
+  std::cout << "y =\n" << y << "\n";
+
+  // TODO Uncomment when fixed in the LA lib
+  // fs_matrix<si::length<si::millimetre>, 3, 3> z = v;
+  // std::cout << "z =\n" << z << "\n";
+}
+
+void matrix_of_quantity_multiply_same()
+{
+  std::cout << "\nmatrix_of_quantity_multiply_same:\n";
+  
+  fs_matrix<si::length<si::metre>, 3, 3> v = {{ 1q_m, 2q_m, 3q_m }, { 4q_m, 5q_m, 6q_m }, { 7q_m, 8q_m, 9q_m }};
+  fs_vector<si::length<si::metre>, 3> u = { 3q_m, 2q_m, 1q_m };
+
+  auto x = v * u;
+  std::cout << "x =\n" << x << "\n";
+
+  auto y = 2q_m * u;
+  std::cout << "y =\n" << y << "\n";
+
+}
+
+void matrix_of_quantity_multiply_different()
+{
+  std::cout << "\nmatrix_of_quantity_multiply_different:\n";
+
+  fs_vector<si::force<si::newton>, 3> v = { 1q_N, 2q_N, 3q_N };
+  fs_matrix<si::length<si::metre>, 3, 3> u = {{ 1q_m, 2q_m, 3q_m }, { 4q_m, 5q_m, 6q_m }, { 7q_m, 8q_m, 9q_m }};
+
+  auto x = v * u;
+  std::cout << "x =\n" << x << "\n";
+
+  auto y = 2q_N * u;
+  std::cout << "y =\n" << y << "\n";
+
+  auto z = 2 * u;
+  std::cout << "z =\n" << z << "\n";
+}
+
+void matrix_of_quantity_tests()
+{
+  matrix_of_quantity_add();
+  matrix_of_quantity_multiply_same();
+  matrix_of_quantity_multiply_different();
+}
+
+}
+
+int main()
+{
+  vector_of_quantity_tests();
+  matrix_of_quantity_tests();
+}