forked from mpusz/mp-units
9527b39005
We had some fun exploring the STD UDLs for potential collisions, we have learnt our lesson and know how to proceed. Now is high time to start behaving and obeying C++ rules.
357 lines
10 KiB
C++
357 lines
10 KiB
C++
// The MIT License (MIT)
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//
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// Copyright (c) 2018 Mateusz Pusz
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//
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// Permission is hereby granted, free of charge, to any person obtaining a copy
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// of this software and associated documentation files (the "Software"), to deal
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// in the Software without restriction, including without limitation the rights
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// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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// copies of the Software, and to permit persons to whom the Software is
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// furnished to do so, subject to the following conditions:
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//
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// The above copyright notice and this permission notice shall be included in all
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// copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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// SOFTWARE.
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#include <units/physical/si/speed.h>
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#include <units/physical/si/force.h>
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#include <units/physical/si/energy.h>
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#include <units/format.h>
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#include <linear_algebra.hpp>
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#include <iostream>
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namespace {
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template<class ET, class OT>
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std::ostream& operator<<(std::ostream& os, const std::math::vector<ET, OT>& v)
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{
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os << "|";
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for (auto i = 0U; i < v.size(); ++i) {
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os << fmt::format(" {:>9}", v(i));
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}
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os << " |";
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return os;
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}
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template<class ET, class OT>
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std::ostream& operator<<(std::ostream& os, const std::math::matrix<ET, OT>& v)
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{
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for (auto i = 0U; i < v.rows(); ++i) {
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os << "|";
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for (auto j = 0U; j < v.columns(); ++j) {
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os << fmt::format(" {:>9}", v(i, j));
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}
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os << (i != v.rows() - 1U ? " |\n" : " |");
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}
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return os;
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}
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using namespace units::physical;
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using namespace units::physical::si::literals;
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template<typename Rep = double>
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using vector = std::math::fs_vector<Rep, 3>;
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template<typename Rep = double>
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using matrix = std::math::fs_matrix<Rep, 3, 3>;
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void vector_of_quantity_add()
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{
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std::cout << "\nvector_of_quantity_add:\n";
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vector<si::length<si::metre>> v = { 1_q_m, 2_q_m, 3_q_m };
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vector<si::length<si::metre>> u = { 3_q_m, 2_q_m, 1_q_m };
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vector<si::length<si::kilometre>> t = { 3_q_km, 2_q_km, 1_q_km };
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std::cout << "v = " << v << "\n";
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std::cout << "u = " << u << "\n";
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std::cout << "t = " << t << "\n";
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std::cout << "v + u = " << v + u << "\n";
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std::cout << "v + t = " << v + t << "\n";
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std::cout << "t[m] = " << vector<si::length<si::metre>>(t) << "\n";
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}
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void vector_of_quantity_multiply_same()
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{
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std::cout << "\nvector_of_quantity_multiply_same:\n";
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vector<si::length<si::metre>> v = { 1_q_m, 2_q_m, 3_q_m };
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vector<si::length<si::metre>> u = { 3_q_m, 2_q_m, 1_q_m };
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std::cout << "v = " << v << "\n";
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std::cout << "u = " << u << "\n";
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std::cout << "v * u = " << v * u << "\n";
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std::cout << "2_q_m * v = " << 2._q_m * v << "\n";
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}
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void vector_of_quantity_multiply_different()
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{
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std::cout << "\nvector_of_quantity_multiply_different:\n";
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vector<si::force<si::newton>> v = { 1_q_N, 2_q_N, 3_q_N };
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vector<si::length<si::metre>> u = { 3_q_m, 2_q_m, 1_q_m };
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std::cout << "v = " << v << "\n";
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std::cout << "u = " << u << "\n";
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std::cout << "v * u = " << v * u << "\n";
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std::cout << "2_q_N * u = " << 2._q_N * u << "\n";
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std::cout << "2 * u = " << 2 * u << "\n";
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}
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void vector_of_quantity_divide_by_scalar()
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{
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std::cout << "\nvector_of_quantity_divide_by_scalar:\n";
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vector<si::length<si::metre>> v = { 4_q_m, 8_q_m, 12_q_m };
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std::cout << "v = " << v << "\n";
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// TODO Uncomment when bug in the LA is fixed
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// std::cout << "v / 2_q_s = " << v / 2_q_s << "\n";
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// std::cout << "v / 2 = " << v / 2 << "\n";
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}
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void vector_of_quantity_tests()
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{
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vector_of_quantity_add();
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vector_of_quantity_multiply_same();
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vector_of_quantity_multiply_different();
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vector_of_quantity_divide_by_scalar();
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}
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void matrix_of_quantity_add()
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{
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std::cout << "\nmatrix_of_quantity_add:\n";
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matrix<si::length<si::metre>> v = {{ 1_q_m, 2_q_m, 3_q_m }, { 4_q_m, 5_q_m, 6_q_m }, { 7_q_m, 8_q_m, 9_q_m }};
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matrix<si::length<si::metre>> u = {{ 3_q_m, 2_q_m, 1_q_m }, { 3_q_m, 2_q_m, 1_q_m }, { 3_q_m, 2_q_m, 1_q_m }};
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matrix<si::length<si::millimetre>> t = {{ 3_q_mm, 2_q_mm, 1_q_mm }, { 3_q_mm, 2_q_mm, 1_q_mm }, { 3_q_mm, 2_q_mm, 1_q_mm }};
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std::cout << "v =\n" << v << "\n";
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std::cout << "u =\n" << u << "\n";
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std::cout << "t =\n" << t << "\n";
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std::cout << "v + u =\n" << v + u << "\n";
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std::cout << "v + t =\n" << v + t << "\n";
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// TODO Uncomment when fixed in the LA lib
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// std::cout << "v[mm] =\n" << matrix<si::length<si::millimetre>>(v) << "\n";
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}
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void matrix_of_quantity_multiply_same()
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{
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std::cout << "\nmatrix_of_quantity_multiply_same:\n";
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matrix<si::length<si::metre>> v = {{ 1_q_m, 2_q_m, 3_q_m }, { 4_q_m, 5_q_m, 6_q_m }, { 7_q_m, 8_q_m, 9_q_m }};
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vector<si::length<si::metre>> u = { 3_q_m, 2_q_m, 1_q_m };
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std::cout << "v =\n" << v << "\n";
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std::cout << "u =\n" << u << "\n";
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std::cout << "v * u =\n" << v * u << "\n";
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std::cout << "2_q_m * u =\n" << 2._q_m * u << "\n";
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}
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void matrix_of_quantity_multiply_different()
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{
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std::cout << "\nmatrix_of_quantity_multiply_different:\n";
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vector<si::force<si::newton>> v = { 1_q_N, 2_q_N, 3_q_N };
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matrix<si::length<si::metre>> u = {{ 1_q_m, 2_q_m, 3_q_m }, { 4_q_m, 5_q_m, 6_q_m }, { 7_q_m, 8_q_m, 9_q_m }};
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std::cout << "v =\n" << v << "\n";
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std::cout << "u =\n" << u << "\n";
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std::cout << "v * u =\n" << v * u << "\n";
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std::cout << "2_q_N * u =\n" << 2._q_N * u << "\n";
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std::cout << "2 * u =\n" << 2 * u << "\n";
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}
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void matrix_of_quantity_divide_by_scalar()
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{
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std::cout << "\nmatrix_of_quantity_divide_by_scalar:\n";
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matrix<si::length<si::metre>> v = {{ 2_q_m, 4_q_m, 6_q_m }, { 4_q_m, 6_q_m, 8_q_m }, { 8_q_m, 4_q_m, 2_q_m }};
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std::cout << "v =\n" << v << "\n";
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// TODO Uncomment when bug in the LA is fixed
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// std::cout << "v / 2_q_s =\n" << v / 2_q_s << "\n";
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// std::cout << "v / 2 =\n" << v / 2 << "\n";
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}
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void matrix_of_quantity_tests()
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{
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matrix_of_quantity_add();
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matrix_of_quantity_multiply_same();
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matrix_of_quantity_multiply_different();
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matrix_of_quantity_divide_by_scalar();
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}
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template<units::Unit U = si::metre, units::ScalableNumber Rep = double>
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using length_v = si::length<U, vector<Rep>>;
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template<units::Unit U = si::newton, units::ScalableNumber Rep = double>
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using force_v = si::force<U, vector<Rep>>;
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void quantity_of_vector_add()
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{
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std::cout << "\nquantity_of_vector_add:\n";
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length_v<> v(vector<>{ 1, 2, 3 });
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length_v<> u(vector<>{ 3, 2, 1 });
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length_v<si::kilometre> t(vector<>{ 3, 2, 1 });
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std::cout << "v = " << v << "\n";
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std::cout << "u = " << u << "\n";
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std::cout << "t = " << t << "\n";
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std::cout << "v + u = " << v + u << "\n";
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std::cout << "v + t = " << v + t << "\n";
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std::cout << "t[m] = " << quantity_cast<si::metre>(t) << "\n";
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}
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void quantity_of_vector_multiply_same()
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{
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std::cout << "\nquantity_of_vector_multiply_same:\n";
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length_v<> v(vector<>{ 1, 2, 3 });
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length_v<> u(vector<>{ 3, 2, 1 });
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std::cout << "v = " << v << "\n";
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std::cout << "u = " << u << "\n";
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std::cout << "v * u = " << v * u << "\n";
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std::cout << "2_q_m * v = " << 2._q_m * v << "\n";
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}
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void quantity_of_vector_multiply_different()
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{
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std::cout << "\nquantity_of_vector_multiply_different:\n";
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force_v<> v(vector<>{ 1, 2, 3 });
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length_v<> u(vector<>{ 3, 2, 1 });
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std::cout << "v = " << v << "\n";
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std::cout << "u = " << u << "\n";
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std::cout << "v * u = " << v * u << "\n";
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std::cout << "2_q_N * u = " << 2._q_N * u << "\n";
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std::cout << "2 * u = " << 2 * u << "\n";
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}
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void quantity_of_vector_divide_by_scalar()
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{
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std::cout << "\nquantity_of_vector_divide_by_scalar:\n";
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length_v<> v(vector<>{ 4, 8, 12 });
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std::cout << "v = " << v << "\n";
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// TODO Uncomment when bug in the LA is fixed
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// std::cout << "v / 2_q_s = " << v / 2_q_s << "\n";
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// std::cout << "v / 2 = " << v / 2 << "\n";
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}
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void quantity_of_vector_tests()
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{
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quantity_of_vector_add();
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quantity_of_vector_multiply_same();
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quantity_of_vector_multiply_different();
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quantity_of_vector_divide_by_scalar();
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}
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template<units::Unit U = si::metre, units::ScalableNumber Rep = double>
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using length_m = si::length<U, matrix<Rep>>;
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void quantity_of_matrix_add()
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{
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std::cout << "\nquantity_of_matrix_add:\n";
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length_m<> v(matrix<>{{ 1, 2, 3 }, { 4, 5, 6 }, { 7, 8, 9 }});
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length_m<> u(matrix<>{{ 3, 2, 1 }, { 3, 2, 1 }, { 3, 2, 1 }});
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length_m<si::kilometre> t(matrix<>{{ 3, 2, 1 }, { 3, 2, 1 }, { 3, 2, 1 }});
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std::cout << "v =\n" << v << "\n";
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std::cout << "u =\n" << u << "\n";
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std::cout << "t =\n" << t << "\n";
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std::cout << "v + u =\n" << v + u << "\n";
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std::cout << "v + t =\n" << v + t << "\n";
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// TODO Uncomment when fixed in the LA lib
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// std::cout << "v[mm] =\n" << matrix<si::length<si::millimetre>>(v) << "\n";
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}
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void quantity_of_matrix_multiply_same()
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{
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std::cout << "\nquantity_of_matrix_multiply_same:\n";
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length_m<> v(matrix<>{{ 1, 2, 3 }, { 4, 5, 6 }, { 7, 8, 9 }});
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length_v<> u(vector<>{ 3, 2, 1 });
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std::cout << "v =\n" << v << "\n";
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std::cout << "u =\n" << u << "\n";
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std::cout << "v * u =\n" << v * u << "\n";
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std::cout << "2_q_m * u =\n" << 2._q_m * u << "\n";
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}
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void quantity_of_matrix_multiply_different()
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{
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std::cout << "\nquantity_of_matrix_multiply_different:\n";
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force_v<> v(vector<>{ 1, 2, 3 });
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length_m<> u(matrix<>{{ 1, 2, 3 }, { 4, 5, 6 }, { 7, 8, 9 }});
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std::cout << "v =\n" << v << "\n";
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std::cout << "u =\n" << u << "\n";
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std::cout << "v * u =\n" << v * u << "\n";
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std::cout << "2_q_N * u =\n" << 2._q_N * u << "\n";
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std::cout << "2 * u =\n" << 2 * u << "\n";
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}
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void quantity_of_matrix_divide_by_scalar()
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{
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std::cout << "\nquantity_of_matrix_divide_by_scalar:\n";
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length_m<> v(matrix<>{{ 2, 4, 6 }, { 4, 6, 8 }, { 8, 4, 2 }});
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std::cout << "v =\n" << v << "\n";
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// TODO Uncomment when bug in the LA is fixed
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// std::cout << "v / 2_q_s =\n" << v / 2_q_s << "\n";
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// std::cout << "v / 2 =\n" << v / 2 << "\n";
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}
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void quantity_of_matrix_tests()
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{
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quantity_of_matrix_add();
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quantity_of_matrix_multiply_same();
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quantity_of_matrix_multiply_different();
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quantity_of_matrix_divide_by_scalar();
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}
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}
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int main()
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{
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vector_of_quantity_tests();
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matrix_of_quantity_tests();
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quantity_of_vector_tests();
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quantity_of_matrix_tests();
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}
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