/// <summary>
/// Creates new Identity <see cref="M44d"/> with a <see cref="Shift3d"/> for translation.
/// </summary>
/// <returns>Translation matrix.</returns>
public static M44d Translation(Shift3d s)
{
return(new M44d(1, 0, 0, s.X,
0, 1, 0, s.Y,
0, 0, 1, s.Z,
0, 0, 0, 1));
}
/// <summary>
/// Multiplacation of a <see cref="M44d"/> with a <see cref="Shift3d"/>.
/// </summary>
public static M44d Multiply(M44d matrix, Shift3d shift)
{
return(new M44d(
matrix.M00,
matrix.M01,
matrix.M02,
matrix.M00 * shift.X +
matrix.M01 * shift.Y +
matrix.M02 * shift.Z +
matrix.M03,
matrix.M10,
matrix.M11,
matrix.M12,
matrix.M10 * shift.X +
matrix.M11 * shift.Y +
matrix.M12 * shift.Z +
matrix.M13,
matrix.M20,
matrix.M21,
matrix.M22,
matrix.M20 * shift.X +
matrix.M21 * shift.Y +
matrix.M22 * shift.Z +
matrix.M23,
matrix.M30,
matrix.M31,
matrix.M32,
matrix.M33
));
}
public static M34d Multiply(M34d m, Shift3d t)
{
return(new M34d(
m.M00, m.M01, m.M02, m.M00 * t.X + m.M01 * t.Y + m.M02 * t.Z + m.M03,
m.M10, m.M11, m.M12, m.M10 * t.X + m.M11 * t.Y + m.M12 * t.Z + m.M13,
m.M20, m.M21, m.M22, m.M20 * t.X + m.M21 * t.Y + m.M22 * t.Z + m.M23
));
}
public override bool Equals(object obj)
{
if (obj is Shift3d)
{
Shift3d shift = (Shift3d)obj;
return(V.X == shift.X && V.Y == shift.Y && V.Z == shift.Z);
}
return(false);
}
public static M34d Multiply(Rot2d rot, Shift3d shift)
{
double a = (double)System.Math.Cos(rot.Angle);
double b = (double)System.Math.Sin(rot.Angle);
return(new M34d(a, b, 0, a * shift.X + b * shift.Y,
-b, a, 0, -b * shift.X + a * shift.Y,
0, 0, 1, shift.Z));
}
public static M34d Multiply(M22d matrix, Shift3d shift)
{
return(new M34d(matrix.M00,
matrix.M01,
0,
matrix.M00 * shift.X +
matrix.M01 * shift.Y,
matrix.M10,
matrix.M11,
0,
matrix.M10 * shift.X +
matrix.M11 * shift.Y,
0,
0,
1,
shift.Z));
}
/// <summary>
/// Multiplacation of a <see cref="Shift3d"/> with a <see cref="M34d"/>.
/// </summary>
public static M34d Multiply(Shift3d shift, M34d m)
{
return(new M34d(
m.M00,
m.M01,
m.M02,
m.M03 + shift.X,
m.M10,
m.M11,
m.M12,
m.M13 + shift.Y,
m.M20,
m.M21,
m.M22,
m.M23 + shift.Z
));
}
/// <summary>
/// Multiplacation of a <see cref="Scale3d"/> with a <see cref="Shift3d"/>.
/// </summary>
public static M34d Multiply(Scale3d scale, Shift3d shift)
{
return(new M34d(
scale.X,
0,
0,
scale.X * shift.X,
0,
scale.Y,
0,
scale.Y * shift.Y,
0,
0,
scale.Z,
scale.Z * shift.Z
));
}
/// <summary>
/// Multiplacation of a <see cref="Shift3d"/> with a <see cref="M44d"/>.
/// </summary>
public static M44d Multiply(Shift3d shift, M44d m)
{
return(new M44d(
m.M00 + shift.X * m.M30,
m.M01 + shift.X * m.M31,
m.M02 + shift.X * m.M32,
m.M03 + shift.X * m.M33,
m.M10 + shift.Y * m.M30,
m.M11 + shift.Y * m.M31,
m.M12 + shift.Y * m.M32,
m.M13 + shift.Y * m.M33,
m.M20 + shift.Z * m.M30,
m.M21 + shift.Z * m.M31,
m.M22 + shift.Z * m.M32,
m.M23 + shift.Z * m.M33,
m.M30,
m.M31,
m.M32,
m.M33
));
}
public static M34d Multiply(Shift3d shift, Scale3d scale)
{
return(new M34d(scale.X, 0, 0, shift.X,
0, scale.Y, 0, shift.Y,
0, 0, scale.Z, shift.Z));
}
public static M34d Translation(Shift3d shift)
{
return(new M34d(1, 0, 0, shift.X,
0, 1, 0, shift.Y,
0, 0, 1, shift.Z));
}
/// <summary>
/// Division of a <see cref="Shift3d"/> instance with a double scalar.
/// </summary>
public static Shift3d Divide(Shift3d shift, double val)
{
return(Multiply(shift, 1 / val));
}
/// <summary>
/// Calculates the division of a double scalar with a <see cref="Shift3d"/>.
/// </summary>
public static Shift3d operator /(double val, Shift3d shift)
{
return(Shift3d.Divide(val, shift));
}
/// <summary>
/// Division of a double scalar with a <see cref="Shift3d"/>.
/// </summary>
public static Shift3d Divide(double value, Shift3d shift)
{
return(Multiply(Reciprocal(shift), value));
}
/// <summary>
/// Calculates the multiplacation of a <see cref="Shift3d"/> with a <see cref="M34d"/>.
/// </summary>
public static M34d operator *(Shift3d shift, M34d mat)
{
return(Shift3d.Multiply(shift, mat));
}
/// <summary>
/// Calculates the reciprocal of a <see cref="Shift3d"/>.
/// </summary>
public static Shift3d Reciprocal(Shift3d shift)
{
return(new Shift3d(1 / shift.X, 1 / shift.Y, 1 / shift.Z));
}
/// <summary>
/// Calculates the multiplacation of a <see cref="Shift3d"/> with a <see cref="Shift3d"/>.
/// </summary>
public static Shift3d operator *(Shift3d shift0, Shift3d shift1)
{
return(Shift3d.Multiply(shift0, shift1));
}
/// <summary>
/// Calculates the multiplacation of a <see cref="Shift3d"/> with a <see cref="Scale3d"/>.
/// </summary>
public static M34d operator *(Shift3d shift, Scale3d scale)
{
return(Shift3d.Multiply(shift, scale));
}
//different calculations for shift vectors
/// <summary>
/// Multiplacation of a float scalar with a <see cref="Shift3d"/>.
/// </summary>
public static Shift3d Multiply(Shift3d shift, double value)
{
return(new Shift3d(shift.X * value,
shift.Y * value,
shift.Z * value));
}
/// <summary>
/// </summary>
public static M34d operator *(Shift3d shift, Rot3d rot)
{
return(Shift3d.Multiply(shift, (M34d)rot));
}
/// <summary>
/// Negates the values of a <see cref="Shift3d"/> instance.
/// </summary>
public static Shift3d operator -(Shift3d shift)
{
return(Shift3d.Negate(shift));
}
/// <summary>
/// Multiplication of two <see cref="Shift3d"/>s.
/// </summary>
public static Shift3d Multiply(Shift3d shift0, Shift3d shift1)
{
return(new Shift3d(shift0.X + shift1.X,
shift0.Y + shift1.Y,
shift0.Z + shift1.Z));
}
/// <summary>
/// Calculates the division of a <see cref="Shift3d"/> with a double scalar.
/// </summary>
public static Shift3d operator /(Shift3d shift, double val)
{
return(Shift3d.Divide(shift, val));
}
/// <summary>
/// Calculates the multiplacation of a <see cref="Shift3d"/> with a double scalar.
/// </summary>
public static Shift3d operator *(double value, Shift3d shift)
{
return(Shift3d.Multiply(shift, value));
}
/// <summary>
/// Negates all values of a <see cref="Shift3d"/>.
/// </summary>
public static Shift3d Negate(Shift3d shift)
{
return(new Shift3d(-shift.X, -shift.Y, -shift.Z));
}