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| using System;
using System.Collections.Generic;
using System.Text;
namespace ConsoleApplication
{
public struct RVector
{
private int ndim;
private double[] vector;
public RVector(int ndim)
{
this.ndim = ndim;
this.vector = new double[ndim];
for (int i = 0; i < ndim; i++)
{
vector[i] = 0.0;
}
}
public RVector(double[] vector)
{
this.ndim = vector.Length;
this.vector = vector;
}
public double this[int i]
{
get
{
if (i < 0 || i > ndim)
{
throw new Exception("Requested vector index is out of range!");
}
return vector[i];
}
set { vector[i] = value; }
}
public int GetVectorSize
{
get { return ndim; }
}
public RVector SwapVectorEntries(int m, int n)
{
double temp = vector[m];
vector[m] = vector[n];
vector[n] = temp;
return new RVector(vector);
}
public override string ToString()
{
string str = "(";
for (int i = 0; i < ndim - 1; i++)
{
str += vector[i].ToString() + ", ";
}
str += vector[ndim - 1].ToString() + ")";
return str;
}
public override bool Equals(object obj)
{
return (obj is RVector) && this.Equals((RVector)obj);
}
public bool Equals(RVector v)
{
return vector == v.vector;
}
public override int GetHashCode()
{
return vector.GetHashCode();
}
public static bool operator ==(RVector v1, RVector v2)
{
return v1.Equals(v2);
}
public static bool operator !=(RVector v1, RVector v2)
{
return !v1.Equals(v2);
}
public static RVector operator +(RVector v)
{
return v;
}
public static RVector operator +(RVector v1, RVector v2)
{
RVector result = new RVector(v1.ndim);
for (int i = 0; i < v1.ndim; i++)
{
result[i] = v1[i] + v2[i];
}
return result;
}
public static RVector operator -(RVector v)
{
double[] result = new double[v.ndim];
for (int i = 0; i < v.ndim; i++)
{
result[i] = -v[i];
}
return new RVector(result);
}
public static RVector operator -(RVector v1, RVector v2)
{
RVector result = new RVector(v1.ndim);
for (int i = 0; i < v1.ndim; i++)
{
result[i] = v1[i] - v2[i];
}
return result;
}
public static RVector operator *(RVector v, double d)
{
RVector result = new RVector(v.ndim);
for (int i = 0; i < v.ndim; i++)
{
result[i] = v[i] * d;
}
return result;
}
public static RVector operator *(double d, RVector v)
{
RVector result = new RVector(v.ndim);
for (int i = 0; i < v.ndim; i++)
{
result[i] = d * v[i];
}
return result;
}
public static RVector operator /(RVector v, double d)
{
RVector result = new RVector(v.ndim);
for (int i = 0; i < v.ndim; i++)
{
result[i] = v[i] / d;
}
return result;
}
public static RVector operator /(double d, RVector v)
{
RVector result = new RVector(v.ndim);
for (int i = 0; i < v.ndim; i++)
{
result[i] = v[i] / d;
}
return result;
}
public static double DotProduct(RVector v1, RVector v2)
{
double result = 0.0;
for (int i = 0; i < v1.ndim; i++)
{
result += v1[i] * v2[i];
}
return result;
}
public static double Angle(RVector v1, RVector v2)
{
double result = 0.0, norm1 = 0.0, norm2 = 0.0;
for (int i = 0; i < v1.ndim; i++)
{
result += v1[i] * v2[i];
norm1 += v1[i] * v1[i];
norm2 += v2[i] * v2[i];
}
result = result / Math.Sqrt(norm1) / Math.Sqrt(norm2);
return Math.Acos(result);
}
public double GetNorm()
{
double result = 0.0;
for (int i = 0; i < ndim; i++)
{
result += vector[i] * vector[i];
}
return Math.Sqrt(result);
}
public double GetNormSquare()
{
double result = 0.0;
for (int i = 0; i < ndim; i++)
{
result += vector[i] * vector[i];
}
return result;
}
public void Normalize()
{
double norm = GetNorm();
if (norm == 0)
{
throw new Exception("Tried to normalize a vector with norm of zero!");
}
for (int i = 0; i < ndim; i++)
{
vector[i] /= norm;
}
}
public RVector GetUnitVector()
{
RVector result = new RVector(vector);
result.Normalize();
return result;
}
public static RVector CrossProduct(RVector v1, RVector v2)
{
if (v1.ndim != 3)
{
throw new Exception("Vector v1 must be 3 dimensional!");
}
if (v2.ndim != 3)
{
throw new Exception("Vector v2 must be 3 dimensional!");
}
RVector result = new RVector(3);
result[0] = v1[1] * v2[2] - v1[2] * v2[1];
result[1] = v1[2] * v2[0] - v1[0] * v2[2];
result[2] = v1[0] * v2[1] - v1[1] * v2[0];
return result;
}
}
class Program
{
static void Main(string[] args)
{
RVector v1 = new RVector(new double[] { 10.0, 9.0, 8.0});
RVector v2 = new RVector(new double[] { 5.0, 4.0, 3.0});
double d = 10.0;
Console.WriteLine("\nv1 = {0}", v1);
Console.WriteLine("v2 = {0}", v2);
Console.WriteLine("d = {0}", d);
Console.WriteLine("v2 + v1 = {0}", (v2 + v1));
Console.WriteLine("v2 - v1 = {0}", (v2 - v1));
Console.WriteLine("v1 * d = {0}", (v1 * d));
Console.WriteLine("v1 / d = {0}", (v1 / d));
Console.WriteLine("Dot product of v1 and v2 = {0}", RVector.DotProduct(v1, v2));
Console.WriteLine("Cross product of v1 and v2 = {0}", RVector.CrossProduct(v1, v2).ToString());
Console.WriteLine("Angle between v1 and v2 = {0}", RVector.Angle(v1, v2));
Console.ReadLine();
}
}
} |
(
Сообщение было отмечено TinSoldier как решение
