Transform Matrix (transform-matrix)

2D affine transformation matrix, represented as a 3x3 matrix: [a b 0; c d 0; tx ty 1].

Struct

struct matrix2d_t {
    float a; float b;
    float c; float d;
    float tx; float ty;
};

Function	Description
`matrix2d_init(m, a, b, c, d, tx, ty)`	Initialize matrix
`matrix2d_init_identity(m)`	Identity matrix
`matrix2d_init_translate(m, tx, ty)`	Translation
`matrix2d_init_scale(m, sx, sy)`	Scaling
`matrix2d_init_rotate(m, r)`	Rotation
`matrix2d_multiply(m, m1, m2)`	Matrix multiply
`matrix2d_invert(m)`	Invert
`matrix2d_translate(m, tx, ty)`	Append translation
`matrix2d_scale(m, sx, sy)`	Append scaling
`matrix2d_rotate(m, r)`	Append rotation
`matrix2d_transform_point(m, x, y)`	Transform point
`matrix2d_transform_distance(m, dx, dy)`	Transform distance
`matrix2d_transform_bounds(m, x1, y1, x2, y2)`	Transform bounds
`matrix2d_transform_region(m, w, h, region)`	Transform region