/// <summary>
/// 常用的通用数学函数
/// </summary>
public static class MathTool
{
/// <summary>
/// 获取由两个点所形成的向量的象限角度
/// </summary>
/// <param name="preCoord">第一个点的坐标</param>
/// <param name="nextCoord">第二个点的坐标</param>
/// <returns></returns>
public static double GetQuadrantAngle(Coordinate preCoord, Coordinate nextCoord)
{
return GetQuadrantAngle(nextCoord.X - preCoord.X, nextCoord.Y - preCoord.Y);
}
/// <summary>
/// 由增量X和增量Y所形成的向量的象限角度
/// </summary>
/// <param name="x">增量X</param>
/// <param name="y">增量Y</param>
/// <returns>象限角</returns>
public static double GetQuadrantAngle(double x, double y)
{
double theta = Math.Atan(y / x);
if (x > 0 && y > 0) return theta;
if (x > 0 && y < 0) return Math.PI * 2 + theta;
if (x < 0 && y > 0) return theta + Math.PI;
if (x < 0 && y < 0) return theta + Math.PI;
return theta;
}
/// <summary>
/// 获取由相邻的三个点所形成的两个向量之间的夹角
/// </summary>
/// <param name="preCoord"></param>
/// <param name="midCoord"></param>
/// <param name="nextCoord"></param>
/// <returns></returns>
public static double GetIncludedAngel(Coordinate preCoord, Coordinate midCoord, Coordinate nextCoord)
{
double innerProduct = (midCoord.X - preCoord.X) * (nextCoord.X - midCoord.X) + (midCoord.Y - preCoord.Y) * (nextCoord.Y - midCoord.Y);
double mode1 = Math.Sqrt(Math.Pow((midCoord.X - preCoord.X), 2.0) + Math.Pow((midCoord.Y - preCoord.Y), 2.0));
double mode2 = Math.Sqrt(Math.Pow((nextCoord.X - midCoord.X), 2.0) + Math.Pow((nextCoord.Y - midCoord.Y), 2.0));
return Math.Acos(innerProduct / (mode1 * mode2));
}
/// <summary>
/// 获取由两个点所形成的向量的模(长度)
/// </summary>
/// <param name="preCoord">第一个点</param>
/// <param name="nextCoord">第二个点</param>
/// <returns>由两个点所形成的向量的模(长度)</returns>
public static double GetDistance(Coordinate preCoord, Coordinate nextCoord)
{
return Math.Sqrt(Math.Pow((nextCoord.X - preCoord.X), 2) + Math.Pow((nextCoord.Y - preCoord.Y), 2));
}
}