public void ExecuteMatrix(Matrix matrix)
{
_v1 = matrix * _v1;
_v2 = matrix * _v2;
_v3 = matrix * _v3;
_v4 = matrix * _v4;
}
public static Vector operator *(Matrix lhs, Vector rhs)
{
Vector result = new Vector();
lhs.ForEach(delegate(int x, int y, double value) {
result[y] += rhs[x] * value;
});
return result;
}
public Square(int size)
{
_size = size;
_v1 = new Vector(-size / 2, -size / 2, 0, 1);
_v2 = new Vector(size / 2, -size / 2, 0, 1);
_v3 = new Vector(size / 2, size / 2, 0, 1);
_v4 = new Vector(-size / 2, size / 2, 0, 1);
}
public Matrix Translate(Vector t)
{
return new Matrix(new double[,]{
{1, 0, 0, t.x},
{0, 1, 0, t.y},
{0, 0, 1, t.z},
{0, 0, 0, t.w}
});
}
public static double DistanceBetweenPointAndSegment( PointD point, PointD segmentStart, PointD segmentEnd )
{
Vector AB = new Vector( segmentStart, segmentEnd );
Vector BA = new Vector( segmentEnd, segmentStart );
Vector AC = new Vector( segmentStart, point );
Vector BC = new Vector( segmentEnd, point );
if( AB * BC > 0 )
return BC.Magnitude;
if( BA * AC > 0 )
return AC.Magnitude;
return Math.Abs((AB ^ BC) / AB.Magnitude);
}
static void Main(string[] args)
{
Matrix x = new Matrix(new double[,]{
{1,2,3,4},
{5,6,7,8},
{9,10,11,12},
{13,14,15,16}
});
Console.WriteLine(x.ToString());
Console.WriteLine("");
Matrix y = new Matrix(new double[,]{
{1,2,3,4},
{5,6,7,8},
{9,10,11,12},
{13,14,15,16}
});
Console.WriteLine("add and subtrackt");
Matrix z = x + y;
Console.WriteLine(z);
z = x - y;
Console.WriteLine(z);
Console.WriteLine("Multiplication");
z = x * 2;
Console.WriteLine(z);
z = 2 * y;
Console.WriteLine(z);
z = x * y;
Console.WriteLine(z);
Console.WriteLine("Vectors");
Console.WriteLine("add and subtrackt");
Vector v = new Vector(1,2,3,1);
Console.WriteLine(v+v);
Console.WriteLine(v-v);
Console.WriteLine(v*v);
Console.WriteLine("matrix times vector");
Console.WriteLine(x*v);
Console.ReadKey();
}
public static Vector operator -(Vector lhs, Vector rhs)
{
Vector result = new Vector();
result.x = lhs.x - rhs.x;
result.y = lhs.y - rhs.y;
result.z = lhs.z - rhs.z;
result.w = lhs.w - rhs.w;
return result;
}
public static Vector operator +(Vector lhs, Vector rhs)
{
Vector result = new Vector();
result.x = lhs.x + rhs.x;
result.y = lhs.y + rhs.y;
result.z = lhs.z + rhs.z;
result.w = lhs.w + rhs.w;
return result;
}
public static double operator *(Vector lhs, Vector rhs)
{
Vector result = new Vector();
result.x = lhs.x * rhs.x;
result.y = lhs.y * rhs.y;
result.z = lhs.z * rhs.z;
result.w = lhs.w * rhs.w;
return result.sum();
}
public void Can_get_magnitudes()
{
var v = new Vector( new PointD( 0, 0 ), new PointD( 3, 4 ) );
Assert.That( v.Magnitude, Is.EqualTo( 5 ) );
}
public void Can_compute_dot_product()
{
var v1 = new Vector( new PointD( 0, 0 ), new PointD( 3, 4 ) );
var v2 = new Vector( new PointD( 0, 0 ), new PointD( 5, 6 ) );
Assert.That( v1*v2, Is.EqualTo( 39 ) );
}
private void Translate(Vector t)
{
Matrix matrix = mfactory.Translate(t);
square.ExecuteMatrix(matrix);
panel1.Invalidate();
}
