// This is Free Software under GNU Affero General Public License v >= 3.0
// without warranty, see README.md and license for details.
//
// SPDX-License-Identifier: AGPL-3.0-or-later
// License-Filename: LICENSES/AGPL-3.0.txt
//
// Copyright (C) 2018 by via donau
//   – Österreichische Wasserstraßen-Gesellschaft mbH
// Software engineering by Intevation GmbH
//
// Author(s):
//  * Sascha L. Teichmann <sascha.teichmann@intevation.de>

package octree

import (
	"math"
)

// Tree is an Octree holding triangles.
type Tree struct {
	// EPSG is the projection.
	EPSG uint32

	vertices  []Vertex
	triangles [][]int32
	index     []int32

	// Min is the lower left corner of the bbox.
	Min Vertex
	// Max is the upper right corner of the bbox.
	Max Vertex
}

type boxFrame struct {
	pos int32
	Box2D
}

func (ot *Tree) Vertices() []Vertex {
	return ot.vertices
}

var scale = [4][4]float64{
	{0.0, 0.0, 0.5, 0.5},
	{0.5, 0.0, 1.0, 0.5},
	{0.0, 0.5, 0.5, 1.0},
	{0.5, 0.5, 1.0, 1.0},
}

func (ot *Tree) Value(x, y float64) (float64, bool) {

	// out of bounding box
	if x < ot.Min.X || ot.Max.X < x ||
		y < ot.Min.Y || ot.Max.Y < y {
		return 0, false
	}

	all := Box2D{ot.Min.X, ot.Min.Y, ot.Max.X, ot.Max.Y}

	stack := []boxFrame{{1, all}}

	for len(stack) > 0 {
		top := stack[len(stack)-1]
		stack = stack[:len(stack)-1]

		if top.pos > 0 { // node
			if index := ot.index[top.pos:]; len(index) > 7 {
				for i := 0; i < 4; i++ {
					a := index[i]
					b := index[i+4]
					if a == 0 && b == 0 {
						continue
					}
					dx := top.X2 - top.X1
					dy := top.Y2 - top.Y1
					nbox := Box2D{
						dx*scale[i][0] + top.X1,
						dy*scale[i][1] + top.Y1,
						dx*scale[i][2] + top.X1,
						dy*scale[i][3] + top.Y1,
					}
					if nbox.Contains(x, y) {
						if a != 0 {
							stack = append(stack, boxFrame{a, nbox})
						}
						if b != 0 {
							stack = append(stack, boxFrame{b, nbox})
						}
						break
					}
				}
			}
		} else { // leaf
			pos := -top.pos - 1
			n := ot.index[pos]
			indices := ot.index[pos+1 : pos+1+n]

			for _, idx := range indices {
				tri := ot.triangles[idx]
				t := Triangle{
					ot.vertices[tri[0]],
					ot.vertices[tri[1]],
					ot.vertices[tri[2]],
				}
				if t.Contains(x, y) {
					return t.Plane3D().Z(x, y), true
				}
			}
		}
	}

	return 0, false
}

// Vertical does a vertical cross cut from (x1, y1) to (x2, y2).
func (ot *Tree) Vertical(x1, y1, x2, y2 float64, fn func(*Triangle)) {

	box := Box2D{
		X1: math.Min(x1, x2),
		Y1: math.Min(y1, y2),
		X2: math.Max(x1, x2),
		Y2: math.Max(y1, y2),
	}

	// out of bounding box
	if box.X2 < ot.Min.X || ot.Max.X < box.X1 ||
		box.Y2 < ot.Min.Y || ot.Max.Y < box.Y1 {
		return
	}

	line := NewPlane2D(x1, y1, x2, y2)

	dupes := map[int32]struct{}{}

	all := Box2D{ot.Min.X, ot.Min.Y, ot.Max.X, ot.Max.Y}
	//log.Printf("area: %f\n", (box.x2-box.x1)*(box.y2-box.y1))
	//log.Printf("all: %f\n", (all.x2-all.x1)*(all.y2-all.y1))

	stack := []boxFrame{{1, all}}

	for len(stack) > 0 {
		top := stack[len(stack)-1]
		stack = stack[:len(stack)-1]

		if top.pos > 0 { // node
			if index := ot.index[top.pos:]; len(index) > 7 {
				for i := 0; i < 4; i++ {
					a := index[i]
					b := index[i+4]
					if a == 0 && b == 0 {
						continue
					}
					dx := top.X2 - top.X1
					dy := top.Y2 - top.Y1
					nbox := Box2D{
						dx*scale[i][0] + top.X1,
						dy*scale[i][1] + top.Y1,
						dx*scale[i][2] + top.X1,
						dy*scale[i][3] + top.Y1,
					}
					if nbox.Intersects(box) && nbox.IntersectsPlane(line) {
						if a != 0 {
							stack = append(stack, boxFrame{a, nbox})
						}
						if b != 0 {
							stack = append(stack, boxFrame{b, nbox})
						}
					}
				}
			}
		} else { // leaf
			pos := -top.pos - 1
			n := ot.index[pos]
			indices := ot.index[pos+1 : pos+1+n]

			for _, idx := range indices {
				if _, found := dupes[idx]; found {
					continue
				}
				tri := ot.triangles[idx]
				t := Triangle{
					ot.vertices[tri[0]],
					ot.vertices[tri[1]],
					ot.vertices[tri[2]],
				}

				v0 := line.Eval(t[0].X, t[0].Y)
				v1 := line.Eval(t[1].X, t[1].Y)
				v2 := line.Eval(t[2].X, t[2].Y)

				if onPlane(v0) || onPlane(v1) || onPlane(v2) ||
					sides(sides(sides(0, v0), v1), v2) == 3 {
					fn(&t)
				}
				dupes[idx] = struct{}{}
			}
		}
	}
}

// Horizontal does a horizontal cross cut.
func (ot *Tree) Horizontal(h float64, fn func(*Triangle)) {

	if h < ot.Min.Z || ot.Max.Z < h {
		return
	}

	type frame struct {
		pos int32
		min float64
		max float64
	}

	dupes := map[int32]struct{}{}

	stack := []frame{{1, ot.Min.Z, ot.Max.Z}}

	for len(stack) > 0 {
		top := stack[len(stack)-1]
		stack = stack[:len(stack)-1]

		pos := top.pos
		if pos == 0 {
			continue
		}
		min, max := top.min, top.max

		if pos > 0 { // node
			if mid := (max-min)*0.5 + min; h >= mid {
				pos += 4 // nodes with z-bit set
				min = mid
			} else {
				max = mid
			}
			if pos < int32(len(ot.index)) {
				if index := ot.index[pos:]; len(index) > 3 {
					stack = append(stack,
						frame{index[0], min, max},
						frame{index[1], min, max},
						frame{index[2], min, max},
						frame{index[3], min, max})
				}
			}
		} else { // leaf
			pos = -pos - 1
			n := ot.index[pos]
			//log.Printf("%d %d %d\n", pos, n, len(ot.index))
			indices := ot.index[pos+1 : pos+1+n]

			for _, idx := range indices {
				if _, found := dupes[idx]; found {
					continue
				}
				tri := ot.triangles[idx]
				t := Triangle{
					ot.vertices[tri[0]],
					ot.vertices[tri[1]],
					ot.vertices[tri[2]],
				}

				if !(math.Min(t[0].Z, math.Min(t[1].Z, t[2].Z)) > h ||
					math.Max(t[0].Z, math.Max(t[1].Z, t[2].Z)) < h) {
					dupes[idx] = struct{}{}
					fn(&t)
				}
			}
		}
	}
}