using System;
using System.Collections;
using System.Collections.Generic;
using UnityEngine;
///
/// 顶点算法
///
public class UnitAlgorithmVertex : UnitAlgorithm {
public class SideVertex : IComparable {
public float distance;
public DataVertex vertex;
public int CompareTo(SideVertex other) {
return other.distance >= distance ? 1 : -1;
}
}
public void Compute(DataPlate data) {
float smooth = data.smooth;
DataBorder border = data.border;
List edgePoints = new List(data.edgePoints);
int wide = Mathf.FloorToInt(border.Wide / smooth) + 1;
int high = Mathf.FloorToInt(border.High / smooth) + 1;
//计算内部顶点
data.vertexGrid = new GridTool(wide, high, (x, y) => {
Vector3 position = border.MinPoint + new Vector3(x * smooth, y * smooth);
DataVertex vertex = new DataVertex();
vertex.isValid = FindPlateInside(edgePoints, position);
vertex.design = position;
return vertex;
});
//边缘所有的线段
for (int i = 0; i < data.sides.Count; i++) {
Compute(data.sides[i], wide, high, border, smooth, data.vertexGrid);
}
}
/// 向网格和边缘写入顶点数据
private void Compute(DataSide side, int wide, int high, DataBorder border, float smooth, GridTool grid) {
DataLine[] lines = side.lines;
List sideVertices = new List();
//计算水平线段顶点
for (int x = 0; x < wide; x++) {
Vector3 a = new Vector3(border.minX + x * smooth, border.minY - 1);
Vector3 b = new Vector3(border.minX + x * smooth, border.maxY + 1);
for (int i = 0; i < lines.Length; i++) {
DataVertex vertex = Compute(a, b, lines[i], smooth, border, grid);
if (vertex == null) { continue; }
float distance = Vector3.Distance(lines[i].a, vertex.design) + lines[i].origin;
SideVertex sideVertex = new SideVertex();
sideVertex.distance = distance;
sideVertex.vertex = vertex;
sideVertices.Add(sideVertex);
}
}
//计算垂直线段顶点
for (int y = 0; y < high; y++) {
Vector3 a = new Vector3(border.minX - 1, border.minY + y * smooth);
Vector3 b = new Vector3(border.maxX + 1, border.minY + y * smooth);
for (int i = 0; i < lines.Length; i++) {
DataVertex vertex = Compute(a, b, lines[i], smooth, border, grid);
if (vertex == null) { continue; }
float distance = Vector3.Distance(lines[i].a, vertex.design) + lines[i].origin;
SideVertex sideVertex = new SideVertex();
sideVertex.distance = distance;
sideVertex.vertex = vertex;
sideVertices.Add(sideVertex);
}
}
sideVertices.Sort();
List vertices = new List();
for (int i = 0; i < sideVertices.Count; i++) {
vertices.Add(sideVertices[i].vertex);
}
side.vertices = vertices.ToArray();
}
/// 向网格写入边缘顶点数据
private DataVertex Compute(Vector3 a, Vector3 b, DataLine line, float smooth, DataBorder border, GridTool grid) {
//计算交点
if (!TryGetIntersectPoint(a, b, line.a, line.b, out Vector3 IntersectPoint)) { return null; }
//计算顶点xy
Vector3 offset = new Vector3(smooth, smooth, 0) * 0.3f;
Vector3 position = IntersectPoint - border.MinPoint + offset;
int vertexX = Mathf.FloorToInt(position.x / smooth);
int vertexY = Mathf.FloorToInt(position.y / smooth);
//填充数据
DataVertex vertex = grid.Get(vertexX, vertexY);
vertex.isValid = true;
vertex.design = IntersectPoint;
return vertex;
}
/// 转角法查询位置是否在板片内
public static bool FindPlateInside(List points, Vector3 position) {
double angles = 0;
for (int i = 0; i < points.Count; i++) {
Vector3 a = points.LoopIndex(i + 0) - position;
Vector3 b = points.LoopIndex(i + 1) - position;
float angle = Vector2.SignedAngle(a, b);
angles += angle;
}
int normal = (int)(angles * 1000);
return normal > 1000;
}
///
/// 计算AB与CD两条线段的交点.
///
/// A点
/// B点
/// C点
/// D点
/// AB与CD的交点
/// 是否相交 true:相交 false:未相交
private bool TryGetIntersectPoint(Vector3 a, Vector3 b, Vector3 c, Vector3 d, out Vector3 intersectPos) {
intersectPos = Vector3.zero;
Vector3 ab = b - a;
Vector3 ca = a - c;
Vector3 cd = d - c;
Vector3 v1 = Vector3.Cross(ca, cd);
// 不共面
if (Mathf.Abs(Vector3.Dot(v1, ab)) > 1e-6) { return false; }
// 平行
if (Vector3.Cross(ab, cd).sqrMagnitude <= 1e-6) { return false; }
Vector3 ad = d - a;
Vector3 cb = b - c;
// 快速排斥
if (Mathf.Min(a.x, b.x) > Mathf.Max(c.x, d.x) || Mathf.Max(a.x, b.x) < Mathf.Min(c.x, d.x)
|| Mathf.Min(a.y, b.y) > Mathf.Max(c.y, d.y) || Mathf.Max(a.y, b.y) < Mathf.Min(c.y, d.y)
|| Mathf.Min(a.z, b.z) > Mathf.Max(c.z, d.z) || Mathf.Max(a.z, b.z) < Mathf.Min(c.z, d.z)) {
return false;
}
// 跨立试验
if (Vector3.Dot(Vector3.Cross(-ca, ab), Vector3.Cross(ab, ad)) > 0
&& Vector3.Dot(Vector3.Cross(ca, cd), Vector3.Cross(cd, cb)) > 0) {
Vector3 v2 = Vector3.Cross(cd, ab);
float ratio = Vector3.Dot(v1, v2) / v2.sqrMagnitude;
intersectPos = a + ab * ratio;
return true;
}
return false;
}
}