libsimple_geom/unit_tests/vector.cpp

#include  "simple/geom/vector.hpp"
#include  "simple/geom/bool_algebra.hpp"

#include <fstream>
#include <cassert>

using namespace simple;
using geom::vector;

using int2 = vector<int,2>;
using int3 = vector<int,3>;
using int2x2 = vector<int2, 2>;
using int3x3 = vector<int3, 3>;

template <typename Vector>
std::istream& operator>>(std::istream& is, Vector& v)
{
	for(auto&& c : v)
		if(not (is >> c)) break;
	return is;
}

void SquareMatrixMultiplication()
{
	std::vector<int3x3> matrices;
	std::ifstream test_data("square_matrix.data");
	int3x3 matrix;
	while(test_data >> matrix)
		matrices.push_back(matrix);

	assert(matrices.size() > 3);
	assert(matrices.size() % 3 == 0);
	for(auto i = matrices.begin(); i != matrices.end(); i+=3)
	{
		int3x3 A = *i;
		int3x3 B = *(i+1);
		int3x3 AxB = *(i+2);
		assert(( B(A) == AxB ));
	}
}

void MatrixVectorMultiplication()
{
	struct test_case
	{
		int3x3 matrix;
		int3 in, out;
	};
	std::vector<test_case> tests;
	std::ifstream test_data("matrix_vector.data");
	while(test_data)
	{
		test_case test;
		test_data >> test.in;
		test_data >> test.matrix;
		test_data >> test.out;
		tests.push_back(test);
	}
	assert(tests.size() > 2);
	tests.pop_back();

	for(auto&& [matrix, in, out] : tests)
		assert( out == matrix(in) );
}

void DotProduct()
{
	struct test_case
	{
		int3 in1, in2;
		int out;
	};
	std::vector<test_case> tests;
	std::ifstream test_data("dot_product.data");
	while(test_data)
	{
		test_case test;
		test_data >> test.in1;
		test_data >> test.in2;
		test_data >> test.out;
		tests.push_back(test);
	}
	assert(tests.size() > 2);
	tests.pop_back();

	for(auto&& [in1, in2, out] : tests)
	{
		assert( out == in1(in2) );
		assert( out == in2(in1) );
	}
}

void NonSquareMatrixMultiplication()
{
	using int2x3 = vector<int2, 3>;
	using int3x2 = vector<int3, 2>;
	using int3x5 = vector<int3, 5>;
	using int2x5 = vector<int2, 5>;

	int2x3 a{ int2x3::array {{
		{1, 2},
		{2, 1},
		{1, 2},
	}}};
	int3x5 b{ int3x5::array {{
		{1, 2, 3},
		{3, 1, 2},
		{2, 3, 1},
		{3, 2, 1},
		{1, 3, 2}
	}}};
	int2x5 ans{ int2x5::array {{
		{8, 10},
		{7, 11},
		{9, 9},
		{8, 10},
		{9, 9}
	}}};
	assert ( ans == a(b) );

	struct test_case
	{
		int3x2 in1;
		int2x3 in2;
		int2x2 out;
	};
	std::vector<test_case> tests;
	std::ifstream test_data("matrix.data");
	while(test_data)
	{
		test_case test;
		test_data >> test.in1;
		test_data >> test.in2;
		test_data >> test.out;
		tests.push_back(test);
	}
	assert(tests.size() > 2);
	tests.pop_back();

	for(auto&& [in1, in2, out] : tests)
		assert( out == in2(in1) );

}

// TODO: all the other ops -_-
void RowColumnVectorAndMatrix()
{

	const vector row(0.1f, 0.2f, 0.3f);

	auto matrix = vector {
		vector(1.0f, 2.0f, 3.0f),
		vector(4.0f, 5.0f, 6.0f),
		vector(7.0f, 8.0f, 9.0f),
	};

	assert(( matrix + row ==
		vector{
			vector(1.1f, 2.2f, 3.3f),
			vector(4.1f, 5.2f, 6.3f),
			vector(7.1f, 8.2f, 9.3f),
		}
	));
	assert(( row + matrix ==
		vector{
			vector(1.1f, 2.2f, 3.3f),
			vector(4.1f, 5.2f, 6.3f),
			vector(7.1f, 8.2f, 9.3f),
		}
	));
	matrix += row;
	assert(( matrix ==
		vector{
			vector(1.1f, 2.2f, 3.3f),
			vector(4.1f, 5.2f, 6.3f),
			vector(7.1f, 8.2f, 9.3f),
		}
	));

	const vector column{
		vector(0.1f),
		vector(0.2f),
		vector(0.3f),
	};

	matrix = vector {
		vector(1.0f, 2.0f, 3.0f),
		vector(4.0f, 5.0f, 6.0f),
		vector(7.0f, 8.0f, 9.0f),
	};

	assert(( matrix + column ==
		vector{
			vector(1.1f, 2.1f, 3.1f),
			vector(4.2f, 5.2f, 6.2f),
			vector(7.3f, 8.3f, 9.3f),
		}
	));

	assert(( column + matrix ==
		vector{
			vector(1.1f, 2.1f, 3.1f),
			vector(4.2f, 5.2f, 6.2f),
			vector(7.3f, 8.3f, 9.3f),
		}
	));

	matrix += column;
	assert(( matrix ==
		vector{
			vector(1.1f, 2.1f, 3.1f),
			vector(4.2f, 5.2f, 6.2f),
			vector(7.3f, 8.3f, 9.3f),
		}
	));

	assert
	(
		vector
		(
			vector(10),
			vector(20),
			vector(30)
		)
		+
		vector(1,2,3)
		==
		vector
		(
			vector(11, 12, 13),
			vector(21, 22, 23),
			vector(31, 32, 33)
		)
	);

	assert
	(
		vector(1,2,3)
		+
		vector
		(
			vector(10),
			vector(20),
			vector(30)
		)
		==
		vector
		(
			vector(11, 12, 13),
			vector(21, 22, 23),
			vector(31, 32, 33)
		)
	);

}

void PolynomialMultiplication()
{
	const vector p1(1, -1, 3, 2);

	const vector p2{
		vector(4),
		vector(2),
		vector(1),
		vector(-5),
	};

	// get a matrix all combination
	const auto all_combos = p1 * p2;

	constexpr auto degree = std::max(p1.dimensions, p2.dimensions);
	auto result = vector<int, degree + degree - 1>{};

	// sum the secondary diagonals of the matrix
	constexpr size_t x = -1;
	result += all_combos[0].mix<0,1,2,3,x,x,x>(0);
	result += all_combos[1].mix<x,0,1,2,3,x,x>(0);
	result += all_combos[2].mix<x,x,0,1,2,3,x>(0);
	result += all_combos[3].mix<x,x,x,0,1,2,3>(0);

	assert(result == vector(4,-2,11,8,12,-13,-10));
}

void StructredBinding()
{
	{
		vector v(1,2,3);
		auto [a,b,c] = v;
		assert( a == 1);
		assert( b == 2);
		assert( c == 3);
	}

	{
		vector v(1,2,3);
		const auto [a,b,c] = v;
		assert( a == 1);
		assert( b == 2);
		assert( c == 3);
	}
}

constexpr bool Constexprness()
{
	constexpr int3x3 A{}, B{};
	constexpr int3 a{}, b{};
	void(A(B)); void(B(A)); void(A(a)); void(B(a)); void(a(b));
	return true;
}

int main()
{
	SquareMatrixMultiplication();
	MatrixVectorMultiplication();
	DotProduct();
	NonSquareMatrixMultiplication();
	RowColumnVectorAndMatrix();
	PolynomialMultiplication();
	static_assert(Constexprness());
	return 0;
}