66 lines
1.9 KiB
C#
66 lines
1.9 KiB
C#
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/*
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********************************************************************************
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*Copyright(C),coolae.net
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*Author: chenbin
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*Version: 2.0
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*Date: 2017-01-09
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*Description: 几何
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*Others:
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*History:
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*********************************************************************************
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*/
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using UnityEngine;
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using System.Collections;
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namespace Coolape
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{
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public static class AngleEx
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{
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// xy平面上的两个点A(a,b),B(c,d),求C(e,f)沿A-->B的向量方向移动一定距离h;此时求所在的位置D的xy坐标
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// xy正切值是(d-b)/(c-a);
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//假设D(x,y)可以得两个方程:
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//(y-f)/(x-e) = (d-b)/(c-a);
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//(y-f)^2 + (x-e) ^2 = h ^2;
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//可求得x,y
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static public Vector2 getEndVector2(Vector2 directionalFrom, Vector2 directionalTo, Vector2 from, float toDistance)
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{
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float x = 0f;
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float y = 0f;
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//取得正切值
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float tanXY = (directionalTo.y - directionalFrom.y) / (directionalTo.x - directionalFrom.x);
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float xx = Mathf.Pow(toDistance, 2) / (Mathf.Pow(tanXY, 2) + 1);
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x = Mathf.Sqrt(xx) + from.x;
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y = tanXY * (x - from.x) + from.y;
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return new Vector2(x, y);
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}
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//求圆心p,半径r，逆时针角度angle，所得的圆上的点的坐标
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static public Vector2 getCirclePointV2(Vector2 p, float r, float angle)
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{
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//弧度
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float radian = angle * Mathf.PI / 180;
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float x = p.x + r * Mathf.Cos(radian);
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float y = p.y + r * Mathf.Sin(radian);
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return new Vector2(x, y);
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}
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static public Vector3 getCirclePointV3(Vector3 p, float r, float angle)
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{
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float y = p.y;
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Vector2 pos = getCirclePointV2(new Vector2(p.x, p.z), r, angle);
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return new Vector3(pos.x, y, pos.y);
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}
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static public Vector3 getCirclePointStartWithXV3(Vector3 p, float r, float angle)
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{
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return getCirclePointV3(p, r, angle);
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}
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static public Vector3 getCirclePointStartWithYV3(Vector3 p, float r, float angle)
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{
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return getCirclePointV3(p, r, 90 - angle);
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}
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}
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}
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