#pragma once

mat3 translate(float Tx, float Ty)
{
	mat3* res = new mat3(1.f);
	(*res)[0][2] = Tx;
	(*res)[1][2] = Ty;
	return *res;
}

mat3 scale(float Sx, float Sy)
{
	mat3* res = new mat3(1.f);
	(*res)[0][0] = Sx;
	(*res)[1][1] = Sy;
	return *res;
}

mat3 scale(float S)
{
	return scale(S, S);
}

mat3 rotate(float theta)
{
	mat3* res = new mat3(1.f);
	(*res)[0][0] = (*res)[1][1] = (float)cos(theta);
	(*res)[0][1] = (float)sin(theta);
	(*res)[1][0] = -(*res)[0][1];
	return *res;
}

mat3 mirrorX()
{
	mat3* res = new mat3(1.f);
	(*res)[1][1] = -1;
	return *res;
}

mat3 mirrorY() 
{
	mat3* res = new mat3(1.f);
	(*res)[0][0] = -1;
	return *res;
}