Matrix2x2 operator*(const Matrix2x2 &lhs, const Matrix2x2 &rhs) {
Matrix2x2 matrix = Matrix2x2();
matrix.set(0, 0, lhs.get(0, 0) * rhs.get(0, 0) + lhs.get(0, 1) * rhs.get(1, 0));
matrix.set(0, 1, lhs.get(0, 0) * rhs.get(0, 1) + lhs.get(0, 1) * rhs.get(1, 1));
matrix.set(1, 0, lhs.get(1, 0) * rhs.get(0, 0) + lhs.get(1, 1) * rhs.get(1, 0));
matrix.set(1, 1, lhs.get(1, 0) * rhs.get(0, 1) + lhs.get(1, 1) * rhs.get(1, 1));
return matrix;
}
Vector2 operator*(const Vector2 &lhs, const Matrix2x2 &rhs)
{
Vector2 product = Vector2();
double sum;
for (int i = 0; i < 2; i++)
{
for (int j = 0; j < 2; j++)
{
sum = product.get(i) + rhs.get(i, j) * lhs.get(j);
product.set(i, sum);
}
}
return product;
}
Vector2 operator*(const Matrix2x2 &lhs, const Vector2 &rhs) {
return Vector2(lhs.get(0, 0) * rhs.get(0) + lhs.get(0, 1) * rhs.get(1),
lhs.get(1, 0) * rhs.get(0) + lhs.get(1, 1) * rhs.get(1));
}
bool operator==(const Matrix2x2 &lhs, const Matrix2x2 &rhs) {
return lhs.get(0, 0) == rhs.get(0, 0) && lhs.get(0, 1) == rhs.get(0, 1)
&& lhs.get(1, 0) == rhs.get(1, 0) && lhs.get(1, 1) == rhs.get(1, 1);
}