public static __m33t__ Multiply(__rot2t__ rot, __m33t__ mat)
{
__ft__ a = (__ft__)System.Math.Cos(rot.Angle);
__ft__ b = (__ft__)System.Math.Sin(rot.Angle);
return(new __m33t__(a * mat.M00 +
b * mat.M10,
a * mat.M01 +
b * mat.M11,
a * mat.M02 +
b * mat.M12,
-b * mat.M00 +
a * mat.M10,
-b * mat.M01 +
a * mat.M11,
-b * mat.M02 +
a * mat.M12,
mat.M20,
mat.M21,
mat.M22));
}
public static __v2t__ Multiply(__rot2t__ rot, __v2t__ vec)
{
__ft__ a = (__ft__)System.Math.Cos(rot.Angle);
__ft__ b = (__ft__)System.Math.Sin(rot.Angle);
return(new __v2t__(a * vec.X + b * vec.Y,
-b * vec.X + a * vec.Y));
}
public static __m34t__ Multiply(__rot2t__ rot, __shift3t__ shift)
{
__ft__ a = (__ft__)System.Math.Cos(rot.Angle);
__ft__ b = (__ft__)System.Math.Sin(rot.Angle);
return(new __m34t__(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 __v3t__ Multiply(__rot2t__ rot, __v3t__ vec)
{
__ft__ ca = (__ft__)System.Math.Cos(rot.Angle);
__ft__ sa = (__ft__)System.Math.Sin(rot.Angle);
return(new __v3t__(ca * vec.X + sa * vec.Y,
-sa * vec.X + ca * vec.Y,
vec.Z));
}
/// <summary>
/// Checks if 2 objects are equal.
/// </summary>
/// <returns>True if equal.</returns>
public override bool Equals(object obj)
{
if (obj is __rot2t__)
{
__rot2t__ rotation = (__rot2t__)obj;
return(Angle == rotation.Angle);
}
return(false);
}
public static __m33t__ Multiply(__rot2t__ rot, __scale3t__ scale)
{
__ft__ a = (__ft__)System.Math.Cos(rot.Angle);
__ft__ b = (__ft__)System.Math.Sin(rot.Angle);
return(new __m33t__(a * scale.X,
b * scale.Y,
0,
-b * scale.X,
a * scale.Y,
0,
0,
0,
scale.Z));
}
/// <summary>
/// Adds 2 rotations.
/// </summary>
public static __rot2t__ Add(__rot2t__ r0, __rot2t__ r1)
{
return(new __rot2t__(r0.Angle + r1.Angle));
}
// [todo ISSUE 20090225 andi : andi] Wir sollten auch folgendes ber�cksichtigen -q == q, weil es die selbe rotation definiert.
// [todo ISSUE 20090427 andi : andi] use an angle-tolerance
// [todo ISSUE 20090427 andi : andi] add __rot3t__.ApproxEqual(__rot3t__ other);
public static bool ApproxEqual(__rot2t__ r0, __rot2t__ r1, __ft__ tolerance)
{
return((r0.Angle - r1.Angle).Abs() <= tolerance);
}
public static bool ApproxEqual(__rot2t__ r0, __rot2t__ r1)
{
return(ApproxEqual(r0, r1, Constant <__ft__> .PositiveTinyValue));
}
/// <summary>
/// Transforms a position vector.
/// </summary>
public static __v2t__ InvTransformPos(__rot2t__ rot, __v2t__ v)
{
return((__m22t__)__rot2t__.Negate(rot) * v);
}
/// <summary>
/// Transforms a position vector.
/// </summary>
public static __v2t__ TransformPos(__rot2t__ rot, __v2t__ v)
{
return((__m22t__)rot * v);
}
/// <summary>
/// Subtracts 2 rotations.
/// </summary>
public static __rot2t__ Subtract(__rot2t__ r0, __rot2t__ r1)
{
return(new __rot2t__(r0.Angle - r1.Angle));
}
/// <summary>
/// Multiplies 2 rotations.
/// </summary>
public static __rot2t__ Multiply(__rot2t__ r0, __rot2t__ r2)
{
return(new __rot2t__(r0.Angle * r2.Angle));
}
public static __m33t__ Multiply(__rot2t__ rot2, __rot3t__ rot3)
{
return(__rot2t__.Multiply(rot2, (__m33t__)rot3));
}
public static __m22t__ Multiply(__rot2t__ rot, __m22t__ mat)
{
return((__m22t__)rot * mat);
}
/// <summary>
/// Divides scalar by a rotation.
/// </summary>
public static __rot2t__ Divide(__rot2t__ rot, __ft__ val)
{
return(new __rot2t__(rot.Angle / val));
}
/// <summary>
/// Adds scalar to a rotation.
/// </summary>
public static __rot2t__ Add(__rot2t__ rot, __ft__ val)
{
return(new __rot2t__(rot.Angle + val));
}
/// <summary>
/// Negates rotation.
/// </summary>
public static __rot2t__ Negate(__rot2t__ rot)
{
return(new __rot2t__(-rot.Angle));
}
/// <summary>
/// Subtracts rotation from a scalar.
/// </summary>
public static __rot2t__ Subtract(__ft__ angle, __rot2t__ rot)
{
return(new __rot2t__(angle - rot.Angle));
}
/// <summary>
/// Multiplies scalar with a rotation.
/// </summary>
public static __rot2t__ Multiply(__rot2t__ rot, __ft__ val)
{
return(new __rot2t__(rot.Angle * val));
}