package main

type HilbertCurve struct {
	order int
	curve *Matrix
}

func NewHilbertCurve() *HilbertCurve {
	h := &HilbertCurve{
		curve: NewMatrix(2, 2),
	}

	h.curve.Set(0, 0, 1)
	h.curve.Set(0, 1, 0)
	h.curve.Set(1, 0, 2)
	h.curve.Set(1, 1, 3)

	return h
}

func (h *HilbertCurve) ToString() string {
	return h.curve.ToString()
}

func (h *HilbertCurve) Length() int {
	return h.curve.width * h.curve.height
}

func (h *HilbertCurve) Expand() {
	length := h.Length()

	m3 := h.curve.Transpose()

	m0 := m3.Mirror()
	m3.Add(3 * length)

	h.curve.Add(length)

	m2 := h.curve.Clone()
	m2.Add(length)

	bottom := m0.MergeRight(m3)

	h.curve = h.curve.MergeRight(m2).MergeBottom(bottom)
	h.order++
}

func (h *HilbertCurve) Order() int {
	return h.order
}

func (h *HilbertCurve) Get() *Matrix {
	return h.curve
}