def XformMultiply(xform1, xform2):
"""Multiplies two transformation matrices, where result = xform1 * xform2
Parameters:
xform1 = List or Rhino.Geometry.Transform. The first 4x4 transformation matrix to multiply.
xform2 = List or Rhino.Geometry.Transform. The second 4x4 transformation matrix to multiply.
Returns:
result transformation on success
Example:
import rhinoscriptsyntax as rs
import math
objs = rs.GetObjects("Select objects to shear")
if objs:
cplane = rs.ViewCPlane()
cob = rs.XformChangeBasis(rs.WorldXYPlane(), cplane)
shear2d = rs.XformIdentity()
shear2d[0,2] = math.tan(math.radians(45.0))
cob_inv = rs.XformChangeBasis(cplane, rs.WorldXYPlane())
temp = rs.XformMultiply(shear2d, cob)
xform = rs.XformMultiply(cob_inv, temp)
rs.TransformObjects( objs, xform, True )
See Also:
XformPlanarProjection
XformRotation
XformScale
XformShear
XformTranslation
"""
xform1 = rhutil.coercexform(xform1, True)
xform2 = rhutil.coercexform(xform2, True)
return xform1*xform2
def XformMultiply(xform1, xform2):
"""Multiplies two transformation matrices, where result = xform1 * xform2
Parameters:
xform1 (transform): List or Rhino.Geometry.Transform. The first 4x4 transformation matrix to multiply.
xform2 (transform): List or Rhino.Geometry.Transform. The second 4x4 transformation matrix to multiply.
Returns:
transform: result transformation on success
Example:
import rhinoscriptsyntax as rs
import math
objs = rs.GetObjects("Select objects to shear")
if objs:
cplane = rs.ViewCPlane()
cob = rs.XformChangeBasis(rs.WorldXYPlane(), cplane)
shear2d = rs.XformIdentity()
shear2d[0,2] = math.tan(math.radians(45.0))
cob_inv = rs.XformChangeBasis(cplane, rs.WorldXYPlane())
temp = rs.XformMultiply(shear2d, cob)
xform = rs.XformMultiply(cob_inv, temp)
rs.TransformObjects( objs, xform, True )
See Also:
XformPlanarProjection
XformRotation1
XformRotation2
XformRotation3
XformRotation4
XformScale
XformShear
XformTranslation
"""
xform1 = rhutil.coercexform(xform1, True)
xform2 = rhutil.coercexform(xform2, True)
return xform1 * xform2
def XformMultiply(xform1, xform2):
"""Multiplies two transformation matrices, where result = xform1 * xform2
Returns:
result transformation on success
"""
xform1 = rhutil.coercexform(xform1, True)
xform2 = rhutil.coercexform(xform2, True)
return xform1*xform2
def XformMultiply(xform1, xform2):
"""Multiplies two transformation matrices, where result = xform1 * xform2
Returns:
result transformation on success
"""
xform1 = rhutil.coercexform(xform1, True)
xform2 = rhutil.coercexform(xform2, True)
return xform1 * xform2
def XformCompare(xform1, xform2):
"""Compares two transformation matrices
Parameters:
xform1, xform2 = matrices to compare
Returns:
-1 if xform1<xform2
1 if xform1>xform2
0 if xform1=xform2
"""
xform1 = rhutil.coercexform(xform1, True)
xform2 = rhutil.coercexform(xform2, True)
return xform1.CompareTo(xform2)
def XformCompare(xform1, xform2):
"""Compares two transformation matrices
Parameters:
xform1, xform2 = matrices to compare
Returns:
-1 if xform1<xform2
1 if xform1>xform2
0 if xform1=xform2
"""
xform1 = rhutil.coercexform(xform1, True)
xform2 = rhutil.coercexform(xform2, True)
return xform1.CompareTo(xform2)
def IsXformZero(xform):
"verifies that a matrix is a zero transformation matrix"
xform = rhutil.coercexform(xform, True)
for i in range(4):
for j in range(4):
if xform[i,j]!=0: return False
return True
def IsXformSimilarity(xform):
"""Verifies a matrix is a similarity transformation. A similarity
transformation can be broken into a sequence of dialations, translations,
rotations, and reflections
"""
xform = rhutil.coercexform(xform, True)
return xform.SimilarityType!=Rhino.Geometry.TransformSimilarityType.NotSimilarity
def XformDeterminant(xform):
"""Returns the determinant of a transformation matrix. If the determinant
of a transformation matrix is 0, the matrix is said to be singular. Singular
matrices do not have inverses.
"""
xform = rhutil.coercexform(xform, True)
return xform.Determinant
def XformDeterminant(xform):
"""Returns the determinant of a transformation matrix. If the determinant
of a transformation matrix is 0, the matrix is said to be singular. Singular
matrices do not have inverses.
"""
xform = rhutil.coercexform(xform, True)
return xform.Determinant
def LineTransform(line, xform):
"""Transforms a line
Parameters:
line (guid): the line to transform
xform (transform): the transformation to apply
Returns:
guid: transformed line
Example:
import rhinoscriptsyntax as rs
line = (0,0,0), (10,10,0)
rs.AddLine( line[0], line[1] )
plane = rs.WorldXYPlane()
xform = rs.XformRotation(30, plane.Zaxis, plane.Origin)
line = rs.LineTransform(line, xform)
rs.AddLine( line.From, line.To )
See Also:
LineClosestPoint
LineIsFartherThan
LineMaxDistanceTo
LineMinDistanceTo
LinePlane
"""
line = rhutil.coerceline(line, True)
xform = rhutil.coercexform(xform, True)
success = line.Transform(xform)
if not success: raise Execption("unable to transform line")
return line
def IsXformZero(xform):
"verifies that a matrix is a zero transformation matrix"
xform = rhutil.coercexform(xform, True)
for i in range(4):
for j in range(4):
if xform[i, j] != 0: return False
return True
def IsXformSimilarity(xform):
"""Verifies a matrix is a similarity transformation. A similarity
transformation can be broken into a sequence of dialations, translations,
rotations, and reflections
"""
xform = rhutil.coercexform(xform, True)
return xform.SimilarityType != Rhino.Geometry.TransformSimilarityType.NotSimilarity
def LineTransform(line, xform):
"""Transforms a line
Parameters:
line = the line to transform
xform = the transformation to apply
Returns:
transformed line
Example:
import rhinoscriptsyntax as rs
line = (0,0,0), (10,10,0)
rs.AddLine( line[0], line[1] )
plane = rs.WorldXYPlane()
xform = rs.XformRotation(30, plane.Zaxis, plane.Origin)
line = rs.LineTransform(line, xform)
rs.AddLine( line.From, line.To )
See Also:
LineClosestPoint
LineIsFartherThan
LineMaxDistanceTo
LineMinDistanceTo
LinePlane
"""
line = rhutil.coerceline(line, True)
xform = rhutil.coercexform(xform, True)
success = line.Transform(xform)
if not success: raise Execption("unable to transform line")
return line
def XformInverse(xform):
"""Returns the inverse of a non-singular transformation matrix
Returns None on error
"""
xform = rhutil.coercexform(xform, True)
rc, inverse = xform.TryGetInverse()
if not rc: return scriptcontext.errorhandler()
return inverse
def XformInverse(xform):
"""Returns the inverse of a non-singular transformation matrix
Returns None on error
"""
xform = rhutil.coercexform(xform, True)
rc, inverse = xform.TryGetInverse()
if not rc: return scriptcontext.errorhandler()
return inverse
def PlaneTransform(plane, xform):
"""Transforms a plane
Parameters:
plane = Plane to transform
xform = Transformation to apply
"""
plane = rhutil.coerceplane(plane, True)
xform = rhutil.coercexform(xform, True)
rc = Rhino.Geometry.Plane(plane)
if rc.Transform(xform): return rc
def PlaneTransform(plane, xform):
"""Transforms a plane
Parameters:
plane = OnPlane or On3dmConstructionPlane
xform =
"""
plane = rhutil.coerceplane(plane, True)
xform = rhutil.coercexform(xform, True)
rc = Rhino.Geometry.Plane(plane)
if rc.Transform(xform): return rc
return scriptcontext.errorhandler()
def PointArrayTransform(points, xform):
"""Transforms a list of 3D points
Parameters:
points = list of 3D points
xform = transformation to apply
Returns:
list of transformed points on success
"""
points = rhutil.coerce3dpointlist(points, True)
xform = rhutil.coercexform(xform, True)
return [xform*point for point in points]
def PlaneTransform(plane, xform):
"""Transforms a plane
Parameters:
plane = OnPlane or On3dmConstructionPlane
xform =
"""
plane = rhutil.coerceplane(plane, True)
xform = rhutil.coercexform(xform, True)
rc = Rhino.Geometry.Plane(plane)
if rc.Transform(xform): return rc
return scriptcontext.errorhandler()
def PointTransform(point, xform):
"""Transforms a 3D point
Paramters:
point = the point to transform
xform = a valid 4x4 transformation matrix
Returns:
transformed vector on success
"""
point = rhutil.coerce3dpoint(point, True)
xform = rhutil.coercexform(xform, True)
return xform*point
def VectorTransform(vector, xform):
"""Transforms a 3D vector
Paramters:
vector = the vector to transform
xform = a valid 4x4 transformation matrix
Returns:
transformed vector on success
"""
vector = rhutil.coerce3dvector(vector, True)
xform = rhutil.coercexform(xform, True)
return xform*vector
def XformCompare(xform1, xform2):
"""Compares two transformation matrices
Parameters:
xform1, xform2 = matrices to compare
Returns:
-1 if xform1<xform2
1 if xform1>xform2
0 if xform1=xform2
Example:
import rhinoscriptsyntax as rs
xform0 = rs.XformZero()
xform1 = rs.XformIdentity()
print rs.XformCompare(xform0, xform1)
See Also:
IsXformIdentity
IsXformSimilarity
IsXformZero
"""
xform1 = rhutil.coercexform(xform1, True)
xform2 = rhutil.coercexform(xform2, True)
return xform1.CompareTo(xform2)
def LineTransform(line, xform):
"""Transforms a line
Parameters:
line = the line to transform
xform = the transformation to apply
Returns:
transformed line
"""
line = rhutil.coerceline(line, True)
xform = rhutil.coercexform(xform, True)
success = line.Transform(xform)
if not success: raise Execption("unable to transform line")
return line
def LineTransform(line, xform):
"""Transforms a line
Parameters:
line = the line to transform
xform = the transformation to apply
Returns:
transformed line
"""
line = rhutil.coerceline(line, True)
xform = rhutil.coercexform(xform, True)
success = line.Transform(xform)
if not success: raise Execption("unable to transform line")
return line
def InsertBlock2(block_name, xform):
"""Inserts a block whose definition already exists in the document
Parameters:
block_name = name of an existing block definition
xform = 4x4 transformation matrix to apply
Returns:
id for the block that was added to the doc on success
"""
idef = scriptcontext.doc.InstanceDefinitions.Find(block_name, True)
if not idef: raise ValueError("%s does not exist in InstanceDefinitionsTable"%block_name)
xform = rhutil.coercexform(xform, True)
id = scriptcontext.doc.Objects.AddInstanceObject(idef.Index, xform )
if id!=System.Guid.Empty:
scriptcontext.doc.Views.Redraw()
return id
def InsertBlock2(block_name, xform):
"""Inserts a block whose definition already exists in the document
Parameters:
block_name = name of an existing block definition
xform = 4x4 transformation matrix to apply
Returns:
id for the block that was added to the doc on success
"""
idef = scriptcontext.doc.InstanceDefinitions.Find(block_name, True)
if not idef: raise ValueError("%s does not exist in InstanceDefinitionsTable"%block_name)
xform = rhutil.coercexform(xform, True)
id = scriptcontext.doc.Objects.AddInstanceObject(idef.Index, xform )
if id!=System.Guid.Empty:
scriptcontext.doc.Views.Redraw()
return id
def IsXformIdentity(xform):
"""Verifies a matrix is the identity matrix
Parameters:
xform = List or Rhino.Geometry.Transform. A 4x4 transformation matrix.
Returns:
True or False indicating success or failure.
Example:
import rhinoscriptsyntax as rs
xform = rs.XformIdentity()
print rs.IsXformIdentity(xform)
See Also:
IsXformSimilarity
IsXformZero
XformIdentity
"""
xform = rhutil.coercexform(xform, True)
return xform==Rhino.Geometry.Transform.Identity
def IsXformIdentity(xform):
"""Verifies a matrix is the identity matrix
Parameters:
xform (transform): List or Rhino.Geometry.Transform. A 4x4 transformation matrix.
Returns:
bool: True or False indicating success or failure.
Example:
import rhinoscriptsyntax as rs
xform = rs.XformIdentity()
print rs.IsXformIdentity(xform)
See Also:
IsXformSimilarity
IsXformZero
XformIdentity
"""
xform = rhutil.coercexform(xform, True)
return xform == Rhino.Geometry.Transform.Identity
def XformDeterminant(xform):
"""Returns the determinant of a transformation matrix. If the determinant
of a transformation matrix is 0, the matrix is said to be singular. Singular
matrices do not have inverses.
Parameters:
xform = List or Rhino.Geometry.Transform. A 4x4 transformation matrix.
Returns:
The determinant if successful, otherwise None
Example:
import rhinoscriptsyntax as rs
xform = rs.BlockInstanceXform(obj)
if xform: print rs.XformDeterminant(xform)
See Also:
XformInverse
"""
xform = rhutil.coercexform(xform, True)
return xform.Determinant
def IsXformSimilarity(xform):
"""Verifies a matrix is a similarity transformation. A similarity
transformation can be broken into a sequence of dialations, translations,
rotations, and reflections
Parameters:
xform = List or Rhino.Geometry.Transform. A 4x4 transformation matrix.
Returns:
True if this transformation is an orientation preserving similarity, otherwise False.
Example:
import rhinoscriptsyntax as rs
xform = rs.BlockInstanceXform(block)
print rs.IsXformSimilarity(xform)
See Also:
IsXformIdentity
IsXformZero
"""
xform = rhutil.coercexform(xform, True)
return xform.SimilarityType!=Rhino.Geometry.TransformSimilarityType.NotSimilarity
def IsXformSimilarity(xform):
"""Verifies a matrix is a similarity transformation. A similarity
transformation can be broken into a sequence of dialations, translations,
rotations, and reflections
Parameters:
xform (transform): List or Rhino.Geometry.Transform. A 4x4 transformation matrix.
Returns:
bool: True if this transformation is an orientation preserving similarity, otherwise False.
Example:
import rhinoscriptsyntax as rs
xform = rs.BlockInstanceXform(block)
print rs.IsXformSimilarity(xform)
See Also:
IsXformIdentity
IsXformZero
"""
xform = rhutil.coercexform(xform, True)
return xform.SimilarityType != Rhino.Geometry.TransformSimilarityType.NotSimilarity
def XformInverse(xform):
"""Returns the inverse of a non-singular transformation matrix
Parameters:
xform = List or Rhino.Geometry.Transform. A 4x4 transformation matrix.
Returns:
The inverted 4x4 transformation matrix if successful.
None, if matrix is non-singular or on error.
Example:
import rhinoscriptsyntax as rs
xform = rs.BlockInstanceXform(obj)
if xform:
rs.TransformObject( obj, rs.XformInverse(xform) )
See Also:
XformDeterminant
"""
xform = rhutil.coercexform(xform, True)
rc, inverse = xform.TryGetInverse()
if not rc: return scriptcontext.errorhandler()
return inverse
def XformInverse(xform):
"""Returns the inverse of a non-singular transformation matrix
Parameters:
xform (transform): List or Rhino.Geometry.Transform. A 4x4 transformation matrix.
Returns:
transform: The inverted 4x4 transformation matrix if successful.
None: if matrix is non-singular or on error.
Example:
import rhinoscriptsyntax as rs
xform = rs.BlockInstanceXform(obj)
if xform:
rs.TransformObject( obj, rs.XformInverse(xform) )
See Also:
XformDeterminant
"""
xform = rhutil.coercexform(xform, True)
rc, inverse = xform.TryGetInverse()
if not rc: return scriptcontext.errorhandler()
return inverse
def TransformObjects(object_ids, matrix, copy=False):
"""Moves, scales, or rotates a list of objects given a 4x4 transformation
matrix. The matrix acts on the left.
Parameters:
object_ids = List of object identifiers.
matrix = The transformation matrix (4x4 array of numbers).
copy[opt] = Copy the objects
Returns:
List of ids identifying the newly transformed objects
"""
xform = rhutil.coercexform(matrix, True)
id = rhutil.coerceguid(object_ids, False)
if id: object_ids = [id]
rc = []
for object_id in object_ids:
object_id = rhutil.coerceguid(object_id, True)
id = scriptcontext.doc.Objects.Transform(object_id, xform, not copy)
if id!=System.Guid.Empty: rc.append(id)
if rc: scriptcontext.doc.Views.Redraw()
return rc
def PointArrayTransform(points, xform):
"""Transforms a list of 3D points
Parameters:
points = list of 3D points
xform = transformation to apply
Returns:
list of transformed points on success
Example:
import rhinoscriptsyntax as rs
obj = rs.GetObject("Select object")
points = rs.BoundingBox(obj)
xform = rs.XformRotation2(45.0, (0,0,1), (0,0,0))
points = rs.PointArrayTransform(points, xform)
rs.AddPoints(points)
See Also:
PointArrayClosestPoint
"""
points = rhutil.coerce3dpointlist(points, True)
xform = rhutil.coercexform(xform, True)
return [xform * point for point in points]
def TransformObjects(object_ids, matrix, copy=False):
"""Moves, scales, or rotates a list of objects given a 4x4 transformation
matrix. The matrix acts on the left.
Parameters:
object_ids = List of object identifiers.
matrix = The transformation matrix (4x4 array of numbers).
copy[opt] = Copy the objects
Returns:
List of ids identifying the newly transformed objects
"""
xform = rhutil.coercexform(matrix, True)
id = rhutil.coerceguid(object_ids, False)
if id: object_ids = [id]
rc = []
for object_id in object_ids:
object_id = rhutil.coerceguid(object_id, True)
id = scriptcontext.doc.Objects.Transform(object_id, xform, not copy)
if id != System.Guid.Empty: rc.append(id)
if rc: scriptcontext.doc.Views.Redraw()
return rc
def IsXformZero(xform):
"""verifies that a matrix is a zero transformation matrix
Parameters:
xform (transform): List or Rhino.Geometry.Transform. A 4x4 transformation matrix.
Returns:
bool: True or False indicating success or failure.
Example:
import rhinoscriptsyntax as rs
xform = rs.XformZero()
print rs.IsXformZero(xform)
See Also:
IsXformIdentity
IsXformSimilarity
XformZero
"""
xform = rhutil.coercexform(xform, True)
for i in range(4):
for j in range(4):
if xform[i, j] != 0: return False
return True
def IsXformZero(xform):
"""verifies that a matrix is a zero transformation matrix
Parameters:
xform = List or Rhino.Geometry.Transform. A 4x4 transformation matrix.
Returns:
True or False indicating success or failure.
Example:
import rhinoscriptsyntax as rs
xform = rs.XformZero()
print rs.IsXformZero(xform)
See Also:
IsXformIdentity
IsXformSimilarity
XformZero
"""
xform = rhutil.coercexform(xform, True)
for i in range(4):
for j in range(4):
if xform[i,j]!=0: return False
return True
def PointArrayTransform(points, xform):
"""Transforms a list of 3D points
Parameters:
points = list of 3D points
xform = transformation to apply
Returns:
list of transformed points on success
Example:
import rhinoscriptsyntax as rs
obj = rs.GetObject("Select object")
points = rs.BoundingBox(obj)
xform = rs.XformRotation2(45.0, (0,0,1), (0,0,0))
points = rs.PointArrayTransform(points, xform)
rs.AddPoints(points)
See Also:
PointArrayClosestPoint
"""
points = rhutil.coerce3dpointlist(points, True)
xform = rhutil.coercexform(xform, True)
return [xform*point for point in points]
def VectorTransform(vector, xform):
"""Transforms a 3D vector
Parameters:
vector = the vector to transform
xform = a valid 4x4 transformation matrix
Returns:
transformed vector on success
Example:
import rhinoscriptsyntax as rs
vector = (1,0,0) #world x-axis
xform = rs.XformRotation2(90.0, (0,0,1), (0,0,0))
vector = rs.VectorTransform(vector, xform)
print vector
See Also:
IsVectorZero
VectorCreate
VectorUnitize
"""
vector = rhutil.coerce3dvector(vector, True)
xform = rhutil.coercexform(xform, True)
return xform*vector
def VectorTransform(vector, xform):
"""Transforms a 3D vector
Parameters:
vector = the vector to transform
xform = a valid 4x4 transformation matrix
Returns:
transformed vector on success
Example:
import rhinoscriptsyntax as rs
vector = (1,0,0) #world x-axis
xform = rs.XformRotation2(90.0, (0,0,1), (0,0,0))
vector = rs.VectorTransform(vector, xform)
print vector
See Also:
IsVectorZero
VectorCreate
VectorUnitize
"""
vector = rhutil.coerce3dvector(vector, True)
xform = rhutil.coercexform(xform, True)
return xform * vector
def PlaneTransform(plane, xform):
"""Transforms a plane
Parameters:
plane = Plane to transform
xform = Transformation to apply
Returns:
the resulting plane if successful, otherwise None
Example:
import rhinoscriptsyntax as rs
plane = rs.ViewCPlane()
xform = rs.XformRotation(45.0, plane.Zaxis, plane.Origin)
plane = rs.PlaneTransform(plane, xform)
rs.ViewCPlane(None, plane)
See Also:
PlaneFromFrame
PlaneFromNormal
PlaneFromPoints
"""
plane = rhutil.coerceplane(plane, True)
xform = rhutil.coercexform(xform, True)
rc = Rhino.Geometry.Plane(plane)
if rc.Transform(xform): return rc
def PointTransform(point, xform):
"""Transforms a 3D point
Parameters:
point = the point to transform
xform = a valid 4x4 transformation matrix
Returns:
transformed vector on success
Example:
# Translate (move) objects by (10,10,0)
import rhinoscriptsyntax as rs
point = 5,5,0
matrix = rs.XformTranslation((10,10,0))
result = rs.PointTransform(point, matrix)
print result
See Also:
PointAdd
PointCompare
PointDivide
PointScale
PointSubtract
"""
point = rhutil.coerce3dpoint(point, True)
xform = rhutil.coercexform(xform, True)
return xform*point
def PointTransform(point, xform):
"""Transforms a 3D point
Parameters:
point = the point to transform
xform = a valid 4x4 transformation matrix
Returns:
transformed vector on success
Example:
# Translate (move) objects by (10,10,0)
import rhinoscriptsyntax as rs
point = 5,5,0
matrix = rs.XformTranslation((10,10,0))
result = rs.PointTransform(point, matrix)
print result
See Also:
PointAdd
PointCompare
PointDivide
PointScale
PointSubtract
"""
point = rhutil.coerce3dpoint(point, True)
xform = rhutil.coercexform(xform, True)
return xform * point
def IsXformIdentity(xform):
"Verifies a matrix is the identity matrix"
xform = rhutil.coercexform(xform, True)
return xform==Rhino.Geometry.Transform.Identity
def IsXformIdentity(xform):
"Verifies a matrix is the identity matrix"
xform = rhutil.coercexform(xform, True)
return xform == Rhino.Geometry.Transform.Identity
