scale2

bool isAlmostZero2(Vector2f v)
{
    float e = 0.002f;

    return abs(v.x) < e &&
           abs(v.y) < e;
}

vec2 v = vec2(1, 0);
Matrix3f tm = translationMatrix2D(vec2(2, 3));
vec2 vt = affineTransform2D(v, tm);
assert(isAlmostZero2(vt - vec2(3, 3)));

Matrix3f rm = rotationMatrix2D(cast(float)PI);
vt = affineTransform2D(v, rm);
assert(isAlmostZero2(vt - vec2(-1, 0)));

Matrix3f sm = scaleMatrix2D(vec2(2, 2));
vt = affineTransform2D(v, sm);
assert(isAlmostZero2(vt - vec2(2, 0)));