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Triangle.cs
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using System;
using System.Linq;
using System.Collections.Generic;
using System.Runtime.InteropServices;
namespace Cabinink.TypeExtend.Geometry2D
{
/// <summary>
/// 平面三角形数学描述类。
/// </summary>
[Serializable]
[ComVisible(true)]
public class Triangle : RegionallyShape, IVertexToArray, IInteriorAngles, IEquatable<Triangle>
{
private (ExPoint2D, ExPoint2D, ExPoint2D) _vertexes;//三角形的三个顶点。
private const double TRIANGLE_INTERIOR_ANGLES_SIZE_SUM = 180;//常量，三角形内角和定义。
/// <summary>
/// 构造函数，创建一个指定顶点的三角形数学描述实例。
/// </summary>
/// <param name="vertexes">指定的有效顶点集合。</param>
/// <exception cref="NonStandardGraphicalException">当定点定义不符合该实例的数学标准时，则将会抛出这个异常。</exception>
public Triangle((ExPoint2D, ExPoint2D, ExPoint2D) vertexes)
{
bool inLine01 = new StraightLine2D(vertexes.Item1, vertexes.Item2).IsMemberPoint(vertexes.Item3);
bool inLine02 = new StraightLine2D(vertexes.Item1, vertexes.Item3).IsMemberPoint(vertexes.Item2);
bool inLine03 = new StraightLine2D(vertexes.Item2, vertexes.Item3).IsMemberPoint(vertexes.Item1);
if (inLine01 || inLine02 || inLine03) throw new NonStandardGraphicalException();
else _vertexes = vertexes;
}
/// <summary>
/// 获取当前实例所表示的三角形的面积。
/// </summary>
public override double MeasureOfArea
{
get
{
StraightLine2D lineAC = GetCorrespondingEdge(Vertexes.Item2);
StraightLine2D lineBC = GetCorrespondingEdge(Vertexes.Item1);
Angle angle = new Angle(EAngleMeteringMode.Radian) { Size = lineAC.GetIntersectionLineAngle(lineBC) };
return 0.5 * lineAC.GetDistanceWith() * lineBC.GetDistanceWith() * angle.GetSinusoidal();
}
}
/// <summary>
/// 获取当前实例所表示的三角形的周长。
/// </summary>
public override double Perimeter
{
get
{
StraightLine2D lineAB = GetCorrespondingEdge(Vertexes.Item3);
StraightLine2D lineAC = GetCorrespondingEdge(Vertexes.Item2);
StraightLine2D lineBC = GetCorrespondingEdge(Vertexes.Item1);
return lineAB.GetDistanceWith() + lineAC.GetDistanceWith() + lineBC.GetDistanceWith();
}
}
/// <summary>
/// 获取或设置当前实例所表示的三角形的顶点集合。
/// </summary>
/// <exception cref="NonStandardGraphicalException">当定点定义不符合该实例的数学标准时，则将会抛出这个异常。</exception>
public (ExPoint2D, ExPoint2D, ExPoint2D) Vertexes
{
get => _vertexes;
set
{
bool inLine01 = new StraightLine2D(value.Item1, value.Item2).IsMemberPoint(value.Item3);
bool inLine02 = new StraightLine2D(value.Item1, value.Item3).IsMemberPoint(value.Item2);
bool inLine03 = new StraightLine2D(value.Item2, value.Item3).IsMemberPoint(value.Item1);
if (inLine01 || inLine02 || inLine03) throw new NonStandardGraphicalException();
else _vertexes = value;
}
}
/// <summary>
/// 将当前图形在横轴上平移指定的长度。
/// </summary>
/// <param name="offset">偏移量，即平移的长度。</param>
public override void AbscissaTranslation(double offset)
{
ExPoint2D[] ps = new ExPoint2D[] { Vertexes.Item1, Vertexes.Item2, Vertexes.Item3 };
for (int i = 0; i < 3; i++) ps[i].AbscissaTranslation(offset);
}
/// <summary>
/// 将当前图形在纵轴上平移指定的长度。
/// </summary>
/// <param name="offset">偏移量，即平移的长度。</param>
public override void OrdinateTranslation(double offset)
{
ExPoint2D[] ps = new ExPoint2D[] { Vertexes.Item1, Vertexes.Item2, Vertexes.Item3 };
for (int i = 0; i < 3; i++) ps[i].OrdinateTranslation(offset);
}
/// <summary>
/// 将当前的图形围绕指定点旋转指定角度。
/// </summary>
/// <param name="axisPoint">二维点旋转的中心点。</param>
/// <param name="angle">逆时针旋转的角度。</param>
/// <returns>这个操作会返回一个通过逆时针旋转后获取到的新的图形实例。</returns>
public override Shape2D Rotate(ExPoint2D axisPoint, Angle angle)
{
ExPoint2D[] ps = new ExPoint2D[] { Vertexes.Item1, Vertexes.Item2, Vertexes.Item3 };
ExPoint2D[] psnew = ps;
for (int i = 0; i < 3; i++) psnew[i] = (ExPoint2D)ps[i].Rotate(axisPoint, angle);
return new Triangle((psnew[0], psnew[1], psnew[2]));
}
/// <summary>
/// 将整个图形进行坐标平移。
/// </summary>
/// <param name="offsetPoint">偏移量，即在横轴和纵轴上平移的长度。</param>
public override void Translation(ExPoint2D offsetPoint)
{
for (int i = 0; i < 3; i++) VertexesToArray()[i].Translation(offsetPoint);
}
/// <summary>
/// 判断指定的ExPoint2D实例是否为当前三角形的顶点。
/// </summary>
/// <param name="point">用于作判断的ExPoint2D实例。</param>
/// <returns>如果当前判断操作返回true，则表示参数point指定的点是当前三角形数学描述实例中的顶点，否则结果相反。</returns>
public bool IsVertex(ExPoint2D point)
{
bool isVertex = false;
List<ExPoint2D> vertexes = VertexesToArray().ToList();
for (int i = 0; i < vertexes.Count; i++)
{
if (point.Equals(vertexes[i]))
{
isVertex = true;
break;
}
}
return isVertex;
}
/// <summary>
/// 获取三角形指定顶点所对应的边，比如顶点A对应的边为a=BC。
/// </summary>
/// <param name="vertex">指定的顶点，如果顶点不存在则将会抛出异常。</param>
/// <returns>该操作会返回指定定点所对应的那一条边，不过严格来说，该方法返回的是对应边所在的直线，如果要获取这条边的长度，请访问StraightLine2D.GetDistanceWith方法。</returns>
/// <exception cref="ArgumentException">当参数vertex提供的顶点无效时，则会抛出这个异常。</exception>
public StraightLine2D GetCorrespondingEdge(ExPoint2D vertex)
{
StraightLine2D line = new StraightLine2D((0, 0), (100, 100));
if (!IsVertex(vertex)) throw new ArgumentException("参数提供的顶点无效！", "vertex");
else
{
if (vertex.Equals(Vertexes.Item1)) line = new StraightLine2D(Vertexes.Item2, Vertexes.Item3);
if (vertex.Equals(Vertexes.Item2)) line = new StraightLine2D(Vertexes.Item1, Vertexes.Item3);
if (vertex.Equals(Vertexes.Item3)) line = new StraightLine2D(Vertexes.Item1, Vertexes.Item2);
}
return line;
}
/// <summary>
/// 获取指定顶点所在内角的大小，以角度制作为计量依据。
/// </summary>
/// <param name="vertex">指定的顶点，如果顶点不存在则将会抛出异常。</param>
/// <returns>该操作会返回指定顶点所在内角的角度尺寸，并以角度制作为计量依据，如果要使用弧度制作为计量依据，请调用Angle.Convert方法。</returns>
/// <exception cref="ArgumentException">当参数vertex提供的顶点无效时，则会抛出这个异常。</exception>
public double GetInteriorAngleSize(ExPoint2D vertex)
{
Angle interiorAngle = new Angle(EAngleMeteringMode.Radian);
StraightLine2D intersectStraightLine = new StraightLine2D((0, 0), (100, 100));
StraightLine2D anotherIntersectStraightLine = new StraightLine2D((0, 0), (100, 100));
if (!IsVertex(vertex)) throw new ArgumentException("参数提供的顶点无效！", "vertex");
else
{
if (vertex.Equals(Vertexes.Item1))
{
intersectStraightLine = new StraightLine2D(Vertexes.Item1, Vertexes.Item2);
anotherIntersectStraightLine = new StraightLine2D(Vertexes.Item1, Vertexes.Item3);
}
if (vertex.Equals(Vertexes.Item2))
{
intersectStraightLine = new StraightLine2D(Vertexes.Item1, Vertexes.Item2);
anotherIntersectStraightLine = new StraightLine2D(Vertexes.Item2, Vertexes.Item3);
}
if (vertex.Equals(Vertexes.Item3))
{
intersectStraightLine = new StraightLine2D(Vertexes.Item2, Vertexes.Item3);
anotherIntersectStraightLine = new StraightLine2D(Vertexes.Item1, Vertexes.Item3);
}
interiorAngle.Size = intersectStraightLine.GetIntersectionLineAngle(anotherIntersectStraightLine);
}
interiorAngle.Convert();
return interiorAngle.Size;
}
/// <summary>
/// 获取当前图形的内角和。
/// </summary>
/// <returns>该操作将会返回当前图形的内角和，并以角度制作为计量依据，如果要使用弧度制作为计量依据，请调用Angle.Convert方法。</returns>
public double GetInteriorAnglesSizeSum() => TRIANGLE_INTERIOR_ANGLES_SIZE_SUM;
/// <summary>
/// 将当前图形的所有顶点装入到ExPoint2D数组之中。
/// </summary>
/// <returns>该操作会返回一个ExPoint2D数组，这个数组包含了当前图形所有的顶点。</returns>
public ExPoint2D[] VertexesToArray() => new ExPoint2D[] { Vertexes.Item1, Vertexes.Item2, Vertexes.Item3 };
/// <summary>
/// 检查当前实例从数学层面上来看，是否与指定的实例相同。
/// </summary>
/// <param name="other">指定需要比较的实例。</param>
/// <returns>如果该操作证明源实例与目标实例在数学层面上相同，则会返回true，否则将会返回false。</returns>
public bool Equals(Triangle other)
{
bool isSame = true;
for (int i = 0; i < 3; i++)
{
for(int j = 0;j < 3;j++)
{
if (!other.VertexesToArray()[i].Equals(VertexesToArray()[j]))
{
isSame = false;
break;
}
if (!isSame) break;
}
}
return isSame;
}
}
}