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Vector.cs
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230 lines (208 loc) · 6.15 KB
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using System;
namespace FG
{
public struct Vector
{
public int Dimension{get; private set;}
float[] m_array;
public Vector(params float[] _data)
{
Dimension = _data.Length;
m_array = _data;
}
public float Magnitude
{
get
{
float sum = 0;
for (int i = 0; i < Dimension; ++i)
{
sum+=m_array[i]*m_array[i];
}
return (float)Math.Sqrt(sum);
}
}
public Vector Normalize
{
get
{
float[] arr = new float[Dimension];
for (int i = 0; i < arr.Length; ++i)
{
arr[i] = Array[i]/Magnitude;
}
return new Vector(arr);
}
}
public float Sum
{
get
{
float sum = 0;
for (int i = 0; i < Dimension; ++i)
{
sum+=m_array[i];
}
return sum;
}
}
public float[] Array
{
get
{
return m_array;
}
set
{
if(value.Length!=Dimension)
{
throw new Exception($"[FG.Vector.Array]:向量维度不能变 {Dimension}=>{value.Length}");
}
m_array = value;
}
}
public void Mul (Vector _v1)
{
if(_v1.Dimension!=Dimension)
{
throw new Exception($"[FG.Vector.Mul]:向量维度需相等 {Dimension},{_v1.Dimension}");
}
for (int i = 0; i < Dimension; ++i)
{
Array[i] *= _v1.Array[i];
}
}
public void Mul (float _v1)
{
for (int i = 0; i < Dimension; ++i)
{
Array[i] *= _v1;
}
}
public void Add (Vector _v1)
{
if(_v1.Dimension!=Dimension)
{
throw new Exception($"[FG.Vector.Add]:向量维度需相等 {Dimension},{_v1.Dimension}");
}
for (int i = 0; i < Dimension; ++i)
{
Array[i] += _v1.Array[i];
}
}
public void Subtract (Vector _v1)
{
if(_v1.Dimension!=Dimension)
{
throw new Exception($"[FG.Vector.Subtract]:向量维度需相等 {Dimension},{_v1.Dimension}");
}
for (int i = 0; i < Dimension; ++i)
{
Array[i] -= _v1.Array[i];
}
}
public static Vector operator* (Vector _v,float _w)
{
float[] arr = new float[_v.Dimension];
for (int i = 0; i < arr.Length; ++i)
{
arr[i] = _v.Array[i]*_w;
}
return new Vector(arr);
}
public static Vector operator* (Vector _v1,Vector _v2)
{
if(_v1.Dimension!=_v2.Dimension)
{
throw new Exception($"[FG.Vector.*]:向量维度需相等 {_v1.Dimension},{_v1.Dimension}");
}
float[] arr = new float[_v1.Dimension];
for (int i = 0; i < arr.Length; ++i)
{
arr[i] = _v1.Array[i]* _v2.Array[i];
}
return new Vector(arr);
}
public static Vector operator+ (Vector _v1,Vector _v2)
{
if(_v1.Dimension!=_v2.Dimension)
{
throw new Exception($"[FG.Vector.+]:向量维度需相等 {_v1.Dimension},{_v1.Dimension}");
}
float[] arr = new float[_v1.Dimension];
for (int i = 0; i < arr.Length; ++i)
{
arr[i] = _v1.Array[i]+_v2.Array[i];
}
return new Vector(arr);
}
public static Vector operator- (Vector _v1,Vector _v2)
{
if(_v1.Dimension!=_v2.Dimension)
{
throw new Exception($"[FG.Vector.-]:向量维度需相等 {_v1.Dimension},{_v1.Dimension}");
}
float[] arr = new float[_v1.Dimension];
for (int i = 0; i < arr.Length; ++i)
{
arr[i] = _v1.Array[i]-_v2.Array[i];
}
return new Vector(arr);
}
public static float Dot(Vector _v1,Vector _v2)
{
if(_v1.Dimension!=_v2.Dimension)
{
throw new Exception($"[FG.Vector.Dot]:点乘的两个向量维度需相等 {_v1.Dimension},{_v1.Dimension}");
}
float val=0;
for (int i = 0; i < _v1.Array.Length; ++i)
{
val += _v1.Array[i]*_v2.Array[i];
}
return val;
}
public override bool Equals(object obj)
{
return this == (Vector)obj;
}
public override int GetHashCode()
{
return base.GetHashCode();
}
public override string ToString()
{
return base.ToString();
}
public static bool operator == (Vector _v1,Vector _v2)
{
if(_v1.Dimension!=_v2.Dimension)
{
return false;
}
for (int i = 0; i < _v1.Dimension; i++)
{
if(_v1.Array[i]!=_v2.Array[i])
{
return false;
}
}
return true;
}
public static bool operator != (Vector _v1,Vector _v2)
{
if(_v1.Dimension!=_v2.Dimension)
{
return true;
}
for (int i = 0; i < _v1.Dimension; i++)
{
if(_v1.Array[i]!=_v2.Array[i])
{
return true;
}
}
return false;
}
}
}