/// <summary> /// Multiplies 2 Similarity transformations. /// This concatenates the two similarity transformations into a single one, first b is applied, then a. /// Attention: Multiplication is NOT commutative! /// </summary> public static Similarity__x3t__ Multiply(Similarity__x3t__ a, Similarity__x3t__ b) { //a.Scale * b.Scale, a.Rot * b.Rot, a.Trans + a.Rot * a.Scale * b.Trans return(new Similarity__x3t__(a.Scale * b.Scale, new Euclidean__x3t__( Rot__x3t__.Multiply(a.Rot, b.Rot), a.Trans + a.Rot.TransformDir(a.Scale * b.Trans)) )); }
public static bool ApproxEqual(Similarity__x3t__ t0, Similarity__x3t__ t1, __ft__ angleTol, __ft__ posTol, __ft__ scaleTol) { return(t0.Scale.ApproximateEquals(t1.Scale, scaleTol) && Euclidean__x3t__.ApproxEqual(t0.EuclideanTransformation, t1.EuclideanTransformation, angleTol, posTol)); }
public static Similarity__x3t__ operator *(Similarity__x3t__ a, Euclidean__x3t__ b) { return(Similarity__x3t__.Multiply(a, b)); }
/// <summary> /// Transforms point p (p.w is presumed 1.0) by the inverse of the similarity transformation t. /// </summary> public static V__x3t__ InvTransformPos(Similarity__x3t__ t, V__x3t__ p) { return(t.EuclideanTransformation.InvTransformPos(p) / t.Scale); }
public static bool ApproxEqual(Similarity__x3t__ t0, Similarity__x3t__ t1) { return(ApproxEqual(t0, t1, Constant <__ft__> .PositiveTinyValue, Constant <__ft__> .PositiveTinyValue, Constant <__ft__> .PositiveTinyValue)); }
/// <summary> /// Transforms direction vector v (v.w is presumed 0.0) by the inverse of the similarity transformation t. /// Actually, only the rotation and scale is used. /// </summary> public static V__x3t__ InvTransformDir(Similarity__x3t__ t, V__x3t__ v) { return(t.EuclideanTransformation.InvTransformDir(v) / t.Scale); }
/// <summary> /// Transforms point p (p.w is presumed 1.0) by similarity transformation t. /// </summary> public static V__x3t__ TransformPos(Similarity__x3t__ t, V__x3t__ p) { return(t.EuclideanTransformation.TransformPos(t.Scale * p)); }
/// <summary> /// Transforms direction vector v (v.w is presumed 0.0) by similarity transformation t. /// Actually, only the rotation and scale is used. /// </summary> public static V__x3t__ TransformDir(Similarity__x3t__ t, V__x3t__ v) { return(t.EuclideanTransformation.TransformDir(t.Scale * v)); }
/// <summary> /// Multiplies an Euclidean transformation by a Similarity transformation. /// This concatenates the two transformations into a single one, first b is applied, then a. /// Attention: Multiplication is NOT commutative! /// </summary> public static Similarity__x3t__ Multiply(Euclidean__x3t__ a, Similarity__x3t__ b) { return(Multiply((Similarity__x3t__)a, b)); }
/// <summary> /// Multiplies a Similarity transformation by an Euclidean transformation. /// This concatenates the two transformations into a single one, first b is applied, then a. /// Attention: Multiplication is NOT commutative! /// </summary> public static Similarity__x3t__ Multiply(Similarity__x3t__ a, Euclidean__x3t__ b) { return(Multiply(a, (Similarity__x3t__)b)); }