quat: nml::quat& operator*=(const nml::quat& other)

Multiply the current quat by a quat.

The product between a quat and a scalar is calculated this way:

\((a + bi + cj + dk) * (other.a + other.bi + other.cj + other.dk) =\)

\(((a * other.a) - (b * other.b) - (c * other.c) - (d * other.d)) +\) \(((a * other.b) + (b * other.a) + (c * other.d) - (d * other.c))i +\) \(((a * other.c) - (b * other.d) + (c * other.a) + (d * other.b))j +\) \(((a * other.d) + (b * other.c) - (c * other.b) + (d * other.a))k +\)

Example

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

int main() {
        nml::quat a(1.0f, 0.25f, 0.5f, 0.75f);
        nml::quat b(2.0f, 0.82f, 0.24f, 0.65f);
        a *= b;
        std::cout << nml::to_string(a) << std::endl;

        return 0;
}

Result:

1.187500 + 1.465000i + 1.692500j + 1.800000k