using UnityEngine;
using System.Collections;
using System;
public class MathUtilLite
{
#region常量
public static Vector3 AxisX = new Vector3(1, 0, 0);
public static Vector3 AxisY = new Vector3(0, 1, 0);
public static Vector3 AxisZ = new Vector3(0, 0, 1);
public static Vector3 XYZ1 = Vector3.one;
public static float ONE_DIV_PI = 1.0f / Mathf.PI;
public static float COS_15 = Mathf.Cos(Mathf.Deg2Rad * 15.0f);
public static float COS_35 = Mathf.Cos(Mathf.Deg2Rad * 35.0f);
public static float COS_45 = Mathf.Cos(Mathf.Deg2Rad * 45.0f);
public static float COS_75 = Mathf.Cos(Mathf.Deg2Rad * 75.0f);
public static float COS_60 = Mathf.Cos(Mathf.Deg2Rad * 60.0f);
public static float COS_30 = Mathf.Cos(Mathf.Deg2Rad * 30.0f);
public static float COS_20 = Mathf.Cos(Mathf.Deg2Rad * 20.0f);
public static Vector2 AxisX2D = new Vector2(1, 0);
public static Vector2 AxisY2D = new Vector2(0, 1);
public static float EPSILON = 0.001f;
#endregion
///
///時間戳轉換成時間
///
/// 時間戳
///
public static System.DateTime TransToDateTime(uint t)
{
System.DateTime dt = System.TimeZone.CurrentTimeZone.ToLocalTime(newSystem.DateTime(1970, 1, 1));
long lTime = long.Parse(t.ToString() + "0000000");
System.TimeSpan toNow = new System.TimeSpan(lTime);
return dt.Add(toNow);
}
///
///計算兩個三維坐標相差的距離
///
///
///
/// 距離
public static float DistancePow(Vector3 a, Vector3 b)
{
return (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y) + (a.z -b.z) * (a.z - b.z);
}
///
///計算兩個二維坐標相差的距離
///
///
///
/// 長度
public static float DistancePow(Vector2 a, Vector2 b)
{
return (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y);
}
//andeeee from the Unity forum's steller Catmull-Rom class (http://forum.unity3d.com/viewtopic.php?p=218400#218400 ):
public static Vector3 Interp(Vector3[] pts, float t)
{
t = Mathf.Clamp(t, 0.0f, 2.0f);
int numSections = pts.Length - 3;
int currPt = Mathf.Min(Mathf.FloorToInt(t * numSections), numSections -1);
float u = t * numSections - currPt;
Vector3 a = pts[currPt];
Vector3 b = pts[currPt + 1];
Vector3 c = pts[currPt + 2];
Vector3 d = pts[currPt + 3];
return .5f * (
(-a + 3f * b - 3f * c + d) * (u * u * u)
+ (2f * a - 5f * b + 4f * c - d) * (u * u)
+ (-a + c) * u
+ 2f * b
);
}
///
///獲取兩個點間的夾角
///
///
///
///
public static float GetAngle(Vector3 form, Vector3 to)
{
Vector3 nVector = Vector3.zero;
nVector.x = to.x;
nVector.y = form.y;
float a = to.y - nVector.y;
float b = nVector.x - form.x;
float tan = a / b;
return Mathf.Atan(tan) * 180.0f * ONE_DIV_PI;
}
public static Vector3 ApproximateDir(Vector3 dir)
{
float dotX = Vector3.Dot(dir, AxisX);
float dotZ = Vector3.Dot(dir, AxisZ);
if (Mathf.Abs(dotX) > Mathf.Abs(dotZ))
{
return dotX > 0 ? AxisX : -AxisX;
}
else
{
return dotZ > 0 ? AxisZ : -AxisZ;
}
}
///
/// normalize并且返回長度
///
///
///
public static float Normalize(ref Vector3 vec)
{
float length = Mathf.Sqrt((vec.x * vec.x) + (vec.y * vec.y) + (vec.z *vec.z));
if (length > 0)
{
float oneDivLength = 1.0f / length;
vec.x = vec.x * oneDivLength;
vec.y = vec.y * oneDivLength;
vec.z = vec.z * oneDivLength;
}
return length;
}
///
///嘗試到達那個點
///
///
///
///
///
///
public static Vector3 TryToMoveToPosWithSpeed(Vector3 dest, Vector3 cur,float speed, float time)
{
Vector3 dir = dest - cur;
float dis = Normalize(ref dir);
if (speed * time < dis)
{
return cur + dir * speed * time;
}
else
{
return dest;
}
}
///
///移動人物制定距離相差多少的值
///
/// 目標點
/// 當前坐標
///
/// 速度
///
public static Vector3 OffsetToMoveToPosWithSpeed(Vector3 dest, Vector3cur, float speed, float time)
{
Vector3 dir = dest - cur;
Vector3 maxOffset = dir;
float dis = Normalize(ref dir);
if (speed * time < dis)
{
return dir * speed * time;
}
else
{
return maxOffset;
}
}
///
/// float近似相等
///
///
///
///
public static bool IsEqualFloat(float a, float b)
{
return (Math.Abs(a - b) < 0.001f);
}
public static bool IsEqualFloatRaw(float a, float b)
{
return (Math.Abs(a - b) < 0.05f);
}
#region 3D空間投影到屏幕坐標
public static Vector2 ProjectToScreen(Camera cam, Vector3 point)
{
Vector3 screenPoint = cam.WorldToScreenPoint(point);
return new Vector2(screenPoint.x, screenPoint.y);
}
#endregion
}}
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