nml::vec2 operator*(nml::mat2 lhs, const nml::vec2& rhs)

Return a vec2 that is the product between a mat2 and a vec2.

The product between a mat2 and a vec2 is calculated this way:

\(\begin{bmatrix} lhs.x.x & lhs.y.x \\ lhs.x.y & lhs.y.y \end{bmatrix} * \begin{bmatrix} rhs.x \\ rhs.y \end{bmatrix} =\)

\(\begin{bmatrix} lhs.x.x * rhs.x + lhs.y.x * rhs.y \\ lhs.x.y * rhs.x + lhs.y.y * rhs.y \end{bmatrix}\)

Example

#include "include/mat2.h"
#include <iostream>

int main() {
        nml::mat2 a(2.0f, 4.0f, 3.0f, 1.5f);
        nml::vec2 b(0.5f, 1.25f);
        nml::vec2 c = a * b;
        std::cout << nml::to_string(c) << std::endl;

        return 0;
}

Result:

[4.750000, 3.875000]