private static string WriteComponent( Golden val )
{
string result = "(" + val.B.A + "/" + val.B.B + "," + val.A.A + "/" + val.A.B + ")";
return result;
}
public void ReadVector( string line )
{
//string[] components = line.Split( '\t' );
string[] components = line.Split( new char[] { '\t', ' ' }, System.StringSplitOptions.RemoveEmptyEntries );
U = ReadComponent( components[0] );
X = ReadComponent( components[1] );
Y = ReadComponent( components[2] );
Z = ReadComponent( components[3] );
}
private static Golden ReadComponent( string component )
{
component = component.Trim( '(', ')' );
string[] split = component.Split( ',' );
Fraction b = new Fraction( int.Parse( split[0] ) );
Fraction a = new Fraction( int.Parse( split[1] ) );
Golden result = new Golden( a, b );
return result;
//Golden scale = new Golden( new Fraction( 5 ), new Fraction( -3 ) );
//Golden scale = new Golden( new Fraction( 1 ), new Fraction( 0 ) );
//return result * scale;
}
public bool ProjectPerspective()
{
Golden distance = new Golden( new Fraction( -4 ), new Fraction( 4 ) );
Golden denominator = distance - U;
double magSquared =
X.GetAsDouble() * X.GetAsDouble() +
Y.GetAsDouble() * Y.GetAsDouble() +
Z.GetAsDouble() * Z.GetAsDouble() +
U.GetAsDouble() * U.GetAsDouble();
// The projection.
Golden scale = new Golden( new Fraction( 1 ), new Fraction( 0 ) );
Golden factor = (scale * distance) / denominator;
// Fake projecting to infinity.
if( denominator.IsZero() || denominator.GetAsDouble() < 0 )
factor = new Golden( new Fraction( 1000 ), new Fraction( 0 ) );
X *= factor;
Y *= factor;
Z *= factor;
U = new Golden( new Fraction( 0 ), new Fraction( 0 ) );
return true;
}
public bool ProjectOrthographic()
{
U = new Golden( new Fraction( 0 ), new Fraction( 0 ) );
return true;
}
/// <summary>
/// This is here because parameterless constructor leads to 0/0 Fractions.
/// I should find a better way to deal with this (maybe these all just need to be classes).
/// </summary>
public static GoldenVector4D Origin()
{
Golden g = new Golden( new Fraction( 0 ), new Fraction( 0 ) );
return new GoldenVector4D( g, g, g, g );
}
public GoldenVector4D( Golden x, Golden y, Golden z, Golden u )
: this()
{
X = x;
Y = y;
Z = z;
U = u;
}
private static Fraction Denom( Golden g )
{
return g.A*g.A + g.A*g.B - g.B*g.B;
}
