cpp-game-engine/math/matrix.t.h

//
//  matrix_tc.h
//  math
//
//  Created by Sam Jaffe on 8/18/16.
//
#pragma once

#include <cxxtest/TestSuite.h>

#include "matrix.hpp"
#include "matrix_helpers.hpp"
#include "angle.hpp"

class matrix_TestSuite : public CxxTest::TestSuite {
public:
  using matr2i = math::matrix::matrix<int, 2, 2>;
  using matr2 = math::matrix::matrix<double, 2, 2>;
public:
  void test_matrix_equals() const {
    using math::matrix::identity;
    TS_ASSERT_EQUALS((identity<int, 2>()), (matr2i{{1,0},{0,1}}));
  }
  
  void test_matrix_sum() const {
    auto iden = math::matrix::identity<int, 2>();
    auto result = matr2i{{2,0},{0,2}};
    TS_ASSERT_EQUALS(iden + iden, result);
  }
  
  void test_matrix_default_zero() const {
    auto zero = matr2i{{0,0},{0,0}};
    TS_ASSERT_EQUALS(matr2i{}, zero);
  }

  void test_matrix_subtract() const {
    auto zero = matr2i{{0,0},{0,0}};
    auto iden = math::matrix::identity<int, 2>();
    TS_ASSERT_EQUALS(iden-iden, zero);
  }
  
//  void test_matrix_negate() const {
//    auto iden = math::matrix::identity<int, 2>();
//    TS_ASSERT_EQUALS(-iden, (matr2i{{-1,0},{0,-1}}));
//  }
  
  void test_matrix_scaling() const {
    auto iden = math::matrix::identity<double, 2>();
    TS_ASSERT_EQUALS(2*iden, (matr2{{2.0,0.0},{0.0,2.0}}));
    TS_ASSERT_EQUALS(iden*2, (matr2{{2.0,0.0},{0.0,2.0}}));
    TS_ASSERT_EQUALS(iden/2.0, (matr2{{0.5,0.0},{0.0,0.5}}));
  }
  
  void test_matrix_multiplication_same_dim() const {
    auto A = matr2i{{1,2},{2,3}};
    auto B = matr2i{{1,0},{1,1}};
    TS_ASSERT_EQUALS(A*B, (matr2i{{3,2},{5,3}}));
    TS_ASSERT_EQUALS(B*A, (matr2i{{1,2},{3,5}}));
  }
  
  void test_matrix_multiplication_diff_dim() const {
    auto A = math::matrix::matrix<int, 3, 2>{{1,0},{0,1},{1,1}};
    auto B = math::matrix::matrix<int, 2, 3>{{0,1,0},{1,0,1}};
    TS_ASSERT_EQUALS(A*B, (math::matrix::matrix<int, 3, 3>{{0,1,0},{1,0,1},{1,1,1}}));
    TS_ASSERT_EQUALS(B*A, (math::matrix::matrix<int, 2, 2>{{0,1},{2,1}}));
  }
  
  void test_matrix_vector_multiplication() const {
    auto A = matr2i{{1,0},{1,2}};
    auto x = math::vector::vector<int, 2>{1,2};
    TS_ASSERT_EQUALS(A*x, (math::vector::vector<int, 2>{1,5}));
  }
  
  void test_matrix_composition() const {
    using namespace math::matrix;
    using vec4 = math::vector::vector<double, 4>;
    using vec3 = math::vector::vector<double, 3>;
    auto rot = rotation<4>(math::degree{90}, rotate::X_AXIS);
    auto mov = translation(vec3{2.0, 2.5, 1.5});
    auto scl = scalar(vec3{2.0, math::vector::fill});
    vec4 epsilon{0.00001, math::vector::fill};
    TS_ASSERT_DELTA((mov * scl * rot * vec4{1,2,3,1}),
                     (vec4{4.0,-1.5,-4.5,1.0}),
                    epsilon);
  }
  
  void test_matrix_from_vector() const {
    using vec3 = math::vector::vector<double, 3>;
    vec3 v = vec3{1,2,3};
    math::matrix::matrix<double, 3, 1> m{v};
    TS_ASSERT_EQUALS(m(0,0), v[0]);
    TS_ASSERT_EQUALS(m(1,0), v[1]);
    TS_ASSERT_EQUALS(m(2,0), v[2]);
  }
  
  void test_matrix_init_list_except() const {
    TS_ASSERT_THROWS((math::matrix::matrix<double, 2, 1>{{1.0}}), std::logic_error);
  }
  
  void test_assign_row() const {
    matr2i A = math::matrix::identity<int, 2>();
    matr2i const B = 2 * A;
    A[0] = B[0];
    TS_ASSERT_EQUALS(A, (matr2i{{2,0},{0,1}}));
  }
private:
};