Rhino C++ API
8.13
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#include <opennurbs_symmetry.h>
Public Types | |
enum | : unsigned int { MaximumOrder = 4096 } |
enum | Coordinates : unsigned char { Coordinates::Unset = 0, Coordinates::Object = 1, Coordinates::World = 2 } |
enum | Region : unsigned char { Region::Unset = 0, Region::AboveReflectionPlane = 1, Region::OnReflectionPlane = 2, Region::BelowReflectionPlane = 3, Region::CrossesReflectionPlane = 4, Region::OnRotationAxis = 5, Region::OffRotationAxis = 6, Region::OnReflectionHalfPlane = 7, Region::OnSupplementalHalfPlane = 8, Region::OnRotateAndReflectHalfPlane = 10, Region::InsideRotateAndReflect = 11, Region::OutsideRotateAndReflect = 12 } |
ON_Symmetry::Region specifies various subsets of the primary motif region. More... | |
enum | Type : unsigned char { Type::Unset = 0, Type::Reflect = 1, Type::Rotate = 2, Type::ReflectAndRotate = 3, Type::Inversion = 4, Type::Cyclic = 5 } |
Public Member Functions | |
ON_Symmetry ()=default | |
ON_Symmetry (const ON_Symmetry &)=default | |
~ON_Symmetry ()=default | |
double | CleanupTolerance () const |
void | Clear () |
void | ClearSymmetricObject () const |
unsigned int | CyclicOrder () const |
const ON_Xform | CyclicTransformation () const |
void | Dump (class ON_TextLog &) const |
const ON_PlaneEquation | FixedPlane () const |
unsigned | GetMotifTransformations (bool bIncludeIdentity, ON_SimpleArray< ON_Xform > &motif_transformations) const |
const ON_SHA1_Hash | Hash () const |
unsigned int | InversionOrder () const |
const ON_Xform | InversionTransformation () const |
bool | IsFixedSubDComponent (const class ON_SubDComponentPtr &subd_component, bool bUseCleanupTolerance) const |
bool | IsMotifBoundarySubDVertex (const class ON_SubDVertex *v, bool bUseCleanupTolerance) const |
bool | IsReflect () const |
bool | IsReflectAndRotate () const |
bool | IsRotate () const |
bool | IsSet () const |
bool | IsUnset () const |
unsigned int | MotifCount () const |
const ON_Xform | MotifTransformation (int index) const |
bool | OnReflectAndRotateFixedPlane (ON_3dPoint P, bool bUseCleanupTolerance) const |
ON_Symmetry & | operator= (const ON_Symmetry &)=default |
ON_Symmetry::Region | PointRegion (ON_3dPoint point, bool bUseCleanupTolerance) const |
bool | Read (class ON_BinaryArchive &) |
const ON_PlaneEquation | ReflectAndRotatePlane (unsigned int plane_index) const |
const ON_PlaneEquation | ReflectionPlane () const |
const ON_Xform | ReflectionTransformation () const |
double | RotationAngleDegrees () const |
double | RotationAngleRadians () const |
const ON_Line | RotationAxis () const |
const ON_3dVector | RotationAxisDirection () const |
const ON_3dPoint | RotationAxisPoint () const |
const ON_3dVector | RotationAxisTangent () const |
unsigned int | RotationCount () const |
const ON_Xform | RotationTransformation () const |
bool | SameSymmetricObjectGeometry (const class ON_SubD *subd) const |
bool | SameSymmetricObjectGeometry (const class ON_SubDimple *subdimple) const |
bool | SameSymmetricObjectTopology (const class ON_SubD *subd) const |
bool | SameSymmetricObjectTopology (const class ON_SubDimple *subdimple) const |
void | SetCleanupTolerance (double cleanup_tolerance) |
bool | SetSymmetricObject (const class ON_SubD *subd) const |
bool | SetSymmetricObject (const class ON_SubDimple *subdimple) const |
ON_Symmetry::Coordinates | SymmetryCoordinates () const |
const ON_SHA1_Hash | SymmetryHash () const |
const ON_UUID | SymmetryId () const |
ON_Symmetry::Type | SymmetryType () const |
double | Tolerance (bool bUseCleanupTolerance) const |
void | ToText (bool bIncludeSymmetricObject, class ON_TextLog &text_log) const |
const ON_Symmetry | TransformConditionally (const ON_Xform &xform) const |
const ON_Symmetry | TransformUnconditionally (const ON_Xform &xform) const |
bool | Write (class ON_BinaryArchive &) const |
Static Public Member Functions | |
static int | Compare (const ON_Symmetry *lhs, const ON_Symmetry *rhs) |
static int | CompareSymmetryTransformation (const ON_Symmetry *lhs, const ON_Symmetry *rhs, double zero_tolerance) |
static const ON_Symmetry | CreateReflectAndRotateSymmetry (ON_PlaneEquation reflection_plane, ON_Line rotation_axis, unsigned int rotation_count, ON_Symmetry::Coordinates symmetry_coordinates) |
static const ON_Symmetry | CreateReflectSymmetry (ON_PlaneEquation reflection_plane, ON_Symmetry::Coordinates symmetry_coordinates) |
static const ON_Symmetry | CreateRotateSymmetry (ON_Line rotation_axis, unsigned int rotation_count, ON_Symmetry::Coordinates symmetry_coordinates) |
static bool | IsValidCyclicTranformation (ON_Xform transformation, unsigned transformation_order) |
static bool | IsValidFixedPlane (ON_Xform transformation, ON_PlaneEquation fixed_plane) |
static bool | IsValidReflectionTranformationAndFixedPlane (ON_Xform reflection, ON_PlaneEquation reflection_plane) |
static bool | IsValidRotationAxis (ON_Line rotation_axis, unsigned int rotation_count) |
static bool | IsValidRotationAxisAndFixedPlane (ON_Line rotation_axis, unsigned int rotation_count, ON_PlaneEquation fixed_plane) |
static ON_Symmetry::Coordinates | SymmetryCoordinatesFromUnsigned (unsigned int coordinates_as_unsigned) |
static const ON_wString | SymmetryCoordinatesToString (ON_Symmetry::Coordinates symmetry_coordinates) |
static ON_Symmetry::Region | SymmetryRegionFromUnsigned (unsigned int region_as_unsigned) |
static bool | SymmetryRegionHasFixedPoints (ON_Symmetry::Region symmetry_region) |
static ON_Symmetry::Type | SymmetryTypeFromUnsigned (unsigned int symmetry_type_as_unsigned) |
static const ON_wString | SymmetryTypeToString (ON_Symmetry::Type symmetry_type) |
Static Public Attributes | |
static const ON_UUID | ReflectAndRotateId |
static const ON_UUID | ReflectId |
static const ON_UUID | RotateId |
static const ON_Symmetry | Unset |
static const double | ZeroTolerance |
Copyright (c) 1993-2022 Robert McNeel & Associates. All rights reserved. OpenNURBS, Rhinoceros, and Rhino3D are registered trademarks of Robert McNeel & Associates.
THIS SOFTWARE IS PROVIDED "AS IS" WITHOUT EXPRESS OR IMPLIED WARRANTY. ALL IMPLIED WARRANTIES OF FITNESS FOR ANY PARTICULAR PURPOSE AND OF MERCHANTABILITY ARE HEREBY DISCLAIMED.
For complete openNURBS copyright information see http://www.opennurbs.org. ON_Symmetry
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ON_Symmetry::Region specifies various subsets of the primary motif region.
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NOTE never use the value 113 for a new ON_Symmetry::Type. This value was used briefly in June 2021 for a prototype symmetry type and reusing it will break SHA1 hashes and 3dm archive IO.
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double ON_Symmetry::CleanupTolerance | ( | ) | const |
Description: Cleanup tolerance is a 3d world unt length used to preprocess input when creating symmetric objects. For example, in a reflect symmetry, cleanup tolerance would be used to move vertices near the reflection plane to be on the reflection plane. This tolerance is context sensitive. In the same model it could vary between two different input objects. The value is saved with the symmetry so calculations driven by modifying an input object can be repeated using the same cleanup tolerance. Returns: The cleanup tolerance for this specific symmetry. It is always >= ON_Symmetry::ZeroTolerance. The default is ON_Symmetry::ZeroTolerance.
void ON_Symmetry::Clear | ( | ) |
Description: Set this instance to ON_Symmetry::Unset.
void ON_Symmetry::ClearSymmetricObject | ( | ) | const |
Description: Clears the symmetric object geometry and topology hashes.
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Returns: 0 if lhs and rhs define identical symmetries (types and transformations). Remarks: The symmtric object information is not compared.
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Returns: 0 if the symmetry transformations are the same to tolerance. Otherwise returns ON_Symmetry::Compare(lhs,rhs).
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Description: Reflection and rotation alternate. The symmetric object has 2*reflection copies of the motif. Points on the rotation axis are fixed.
Parameters: reflection_plane - [in] rotation_axis - [in] A line in the reflection plane. rotation_count - [in] rotation_count must be >= 2 and the rotation angle is (360/rotation_count) degrees. symmetry_coordinates - [in] object or world. Example: If the reflection_plane is the y-z plane, the rotation axis is the z-axis, and rotation_count = 2, then (x,y,z) -> (-x,y,z) -> (-x-y,z) -> (x,-y,z) -> (x,y,z). Remarks: InversionTransformation() = reflection. CyclicTransformation() = rotation by (360/rotation_count) degrees.
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Description: Reflection about a plane. The symmetric object has 2 copies of the motif. Points on the reflection plane are fixed. Parameters: reflection_plane - [in] A point P is in the primary motif when reflection_plane.ValueAt(P) >= 0. symmetry_coordinates - [in] object or world. Example: If the reflection_plane is the y-z plane, then (x,y,z) -> (-x,y,z) -> (x,y,z). Remarks: InversionTransformation() = reflection. CyclicTransformation() = identity.
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Description: Rotation around an axis. The symmetric object has reflection_count copies of the motif. Points on the axis are fixed. Parameters: rotation_axis - [in] rotation_count - [in] rotation_count must be >= 2 and the rotation angle is (360/rotation_count) degrees. symmetry_coordinates - [in] object or world. Example: If the rotation axis is the z-axis and the order is N, then the generator is then (x,y,z) -> (r*cos(a), r*sin(a), z) -> (r*cos(2*a), r*sin(2*a), z) -> ... -> (x,y,z), where r = sqrt(x*x + y*y) and a = (360 degrees)/N. Remarks: CyclicTransformation() = rotation. InversionTransformation() = identity.
unsigned int ON_Symmetry::CyclicOrder | ( | ) | const |
Returns: 0: unset symmetry 1: the cyclic transformation is the identity. N >= 2: CyclicTransformation()^N = identity and CyclicTransform()^i != identity when 0 < i < N. Remarks: In common cases, CyclicTransformation() is either the identity or a rotation.
const ON_Xform ON_Symmetry::CyclicTransformation | ( | ) | const |
Returns: The cyclic transformation is returned. CyclicTransformation()^CyclicOrder() = identity. Remarks: In common cases, CyclicTransformation() is either the identity or a rotation. Remarks: NOTE: A symmetry with SymmetryOrder() = 2 and transformation S can be represented as either InversionTransformation() = S and CyclicTransformation() = identity or or CyclicTransformation() = S and InversionTransformation() = identity. The convention is to use the cyclic transforms when S is a 180 rotations and inversion transforms otherwise.
void ON_Symmetry::Dump | ( | class ON_TextLog & | ) | const |
const ON_PlaneEquation ON_Symmetry::FixedPlane | ( | ) | const |
Returns: A plane containing all the fixed points of the symmetry. When the symmetry type is Reflect, FixedPlane() = ReflectionPlane(). When the symmetry type is Rotate, FixedPlane() contains the axis of rotation and defines the zero angle. When the symmetry type is ReflectAndRotate, FixedPlane() = ReflectionPlane().
unsigned ON_Symmetry::GetMotifTransformations | ( | bool | bIncludeIdentity, |
ON_SimpleArray< ON_Xform > & | motif_transformations | ||
) | const |
Description: Get the set of motif transformations that maps the starting motif to the copies. Parameters: bIncludeIdentity - [in] If true, then motif_transformations[0] = identity and MotifCount() transformations are returned. Otherwise, motif_transformations[0] = MotifTransformation(1) and (MotifCount() -1) transformations are returned. motif_transformations[] - out motif transformations are returned here. Returns: MotifCount().
const ON_SHA1_Hash ON_Symmetry::Hash | ( | ) | const |
Returns: A SHA1 hash uniquely identifying the symmetry
unsigned int ON_Symmetry::InversionOrder | ( | ) | const |
Returns: 0: unset symmetry 1: InversionTransformation() = identity 2: InversionTransformation()^2 = identity and InversionTransform() != identity Remarks: In common cases, InversionTransformation() is either the identity or a reflection.
const ON_Xform ON_Symmetry::InversionTransformation | ( | ) | const |
Returns: The inversion transformation is returned. InversionTransformation()^InversionOrder() = identity. Remarks: In common cases, InversionTransformation() is either the identity or a reflection (mirror). Remarks: NOTE: A symmetry with SymmetryOrder() = 2 and transformation S can be represented as either InversionTransformation() = S and CyclicTransformation() = identity or or CyclicTransformation() = S and InversionTransformation() = identity. The convention is to use the cyclic transforms when S is a 180 rotations and inversion transforms otherwise.
bool ON_Symmetry::IsFixedSubDComponent | ( | const class ON_SubDComponentPtr & | subd_component, |
bool | bUseCleanupTolerance | ||
) | const |
Description: Examples of fixed SubD components include vertices on a reflection plane or rotation axis, faces and edges straddling a reflection plane, and faces centered about a rotation axis. Returns: True if the component is transformed to itself by every motif transformation.
bool ON_Symmetry::IsMotifBoundarySubDVertex | ( | const class ON_SubDVertex * | v, |
bool | bUseCleanupTolerance | ||
) | const |
Parameters: v - [in] vertex to test bUseCleanupTolerance - [in] The tolerance used to determine if a point is On an axis or plane is bUseCleanupTolerance ? this->CleanupTolerance() : ON_Symmetry::ZeroTolerance. When in doubt, pass false. Returns: True if v is a vertex that might possibly be merged when transformed motifs are joined to create a symmetric SubD.
bool ON_Symmetry::IsReflect | ( | ) | const |
Returns: True if SymmetryType() is ON_Symmetry::Type::Reflect
bool ON_Symmetry::IsReflectAndRotate | ( | ) | const |
Returns: True if SymmetryType() is ON_Symmetry::Type::ReflectAndRotate
bool ON_Symmetry::IsRotate | ( | ) | const |
Returns: True if SymmetryType() is ON_Symmetry::Type::Rotate
bool ON_Symmetry::IsSet | ( | ) | const |
Returns: True if this instance is set to a symmetry.
bool ON_Symmetry::IsUnset | ( | ) | const |
Returns: True if this instance is not set.
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Description: Test a cyclic transformation to make sure it is stable enough to be used in an ON_Symmetry. Parameters: transformation - [in] transformation_order - [in] Returns: True if these 2 conditions are satisfied.
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Description: Test a transformation and transformation to make sure the transformation fixes points on the plane. Parameters: transformation - [in] fixed_plane - [in] Returns: True if the the transformation and fixed_plane are valid and the transformation fixes points on the plane. Remarks: The value ON_Symmetry::ZeroTolerance is used for all "zero tolerances."
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Description: Test a transformation and reflection plane. Parameters: reflection - [in] reflection_plane - [in] Returns: True if these 3 conditions are satisfied.
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Parameters: rotation_axis - [in] rotation_count - [in] fixed_plane - [in] Returns: True if these 3 conditions are satisfied.
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Parameters: rotation_axis - [in] rotation_count - [in] fixed_plane - [in] Returns: True if these 4 conditions are satisfied.
unsigned int ON_Symmetry::MotifCount | ( | ) | const |
Returns: Number of types the motif appears in the symmetric object. Remarks: MotifCount() = CyclicOrder()*InversionOrder().
const ON_Xform ON_Symmetry::MotifTransformation | ( | int | index | ) | const |
Description: Get the transformation that maps the starting motif to the specified copy. Parameters: index - [in] 0 based index of the copy (negative values are supported) 0 returns the identity transformation. Remarks: "0 based" means when index is a multiple of MotifCount(), the identity is returned.
bool ON_Symmetry::OnReflectAndRotateFixedPlane | ( | ON_3dPoint | P, |
bool | bUseCleanupTolerance | ||
) | const |
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ON_Symmetry::Region ON_Symmetry::PointRegion | ( | ON_3dPoint | point, |
bool | bUseCleanupTolerance | ||
) | const |
Parameters: point - [in] point to test. bUseCleanupTolerance - [in] The tolerance used to determine if a point is On an axis or plane is bUseCleanupTolerance ? this->CleanupTolerance() : ON_Symmetry::ZeroTolerance. When in doubt, pass false. Returns: The location of the point relative to the primary motif regions.
bool ON_Symmetry::Read | ( | class ON_BinaryArchive & | ) |
const ON_PlaneEquation ON_Symmetry::ReflectAndRotatePlane | ( | unsigned int | plane_index | ) | const |
Description: A reflect and rotate symmetry has three important planes. The reflection plane. This plane is returned by ReflectAndRotatePlane(0). The supplemental plane. This plane is the reflection plane rotated around the rotation axis by angle = -0.5*RotationAngle() and then reversed. This plane is returned by ReflectAndRotatePlane(1). The reflection plane rotated around the rotation axis by pi/2. This plane is returned by ReflectAndRotatePlane(2).
The primary motif region for a reflect and rotate symmetry is region above both the reflection plane and the supplemental plane.
The normals of all planes point into the primary motif region.
Parameters: plane_index - [in] Selects the plane. 0: returns the reflection plane. 1: returns the supplemental plane. 2: returns the half space bounding plane.
Returns: If the symmetry type is ReflectAndRotate and plane_index is valid, the requested plane is returned. Otherwise ON_PlaneEquation::Nan is returned.
const ON_PlaneEquation ON_Symmetry::ReflectionPlane | ( | ) | const |
Returns: If the symmetry is type is Reflect or ReflectAndRotate, then the reflection plane is returned. Otherwise ON_Plane::Nan is returned.
const ON_Xform ON_Symmetry::ReflectionTransformation | ( | ) | const |
Returns: If the symmetry is type is Reflect or ReflectAndRotate, then the reflection plane is returned. Otherwise ON_Plane::Nan is returned.
double ON_Symmetry::RotationAngleDegrees | ( | ) | const |
Returns: If the symmetry is type is Rotate or ReflectAndRotate, then the rotation angle in degrees is returned. Otherwise ON_DBL_QNAN is returned. Remarks: RotationAngleDegrees() = 360.0/RotationCount()
double ON_Symmetry::RotationAngleRadians | ( | ) | const |
Returns: If the symmetry is type is Rotate or ReflectAndRotate, then the rotation angle in radians is returned. Otherwise ON_DBL_QNAN is returned. Remarks: RotationAngleRadians() = (2.0*ON_PI)/RotationCount()
const ON_Line ON_Symmetry::RotationAxis | ( | ) | const |
Returns: If the symmetry is type is Rotate or ReflectAndRotate, then the rotation axis is returned. Otherwise ON_Line::Nan is returned.
const ON_3dVector ON_Symmetry::RotationAxisDirection | ( | ) | const |
Returns: If the symmetry is type is Rotate or ReflectAndRotate, then the direction of the rotation axis is returned. Otherwise ON_3dVector::Nan is returned. Remarks: This vector may have length != 1
const ON_3dPoint ON_Symmetry::RotationAxisPoint | ( | ) | const |
Returns: If the symmetry is type is Rotate or ReflectAndRotate, then a point on the rotation axis is returned. Otherwise ON_3dPoint::Nan is returned.
const ON_3dVector ON_Symmetry::RotationAxisTangent | ( | ) | const |
Returns: If the symmetry is type is Rotate or ReflectAndRotate, then a unit vector in the direction of the rotation axis is returned. Otherwise ON_3dVector::Nan is returned.
unsigned int ON_Symmetry::RotationCount | ( | ) | const |
Returns: If the symmetry is type is Rotate or ReflectAndRotate, then the rotation count is returned. Otherwise 0 is returned.
const ON_Xform ON_Symmetry::RotationTransformation | ( | ) | const |
Returns: If the symmetry is type is Rotate or ReflectAndRotate, then the rotation transformation is returned. Otherwise ON_Xform::Nan is returned.
bool ON_Symmetry::SameSymmetricObjectGeometry | ( | const class ON_SubD * | subd | ) | const |
Returns: True if subd has identical geometry to the subd passed to SetSymmetricObject().
bool ON_Symmetry::SameSymmetricObjectGeometry | ( | const class ON_SubDimple * | subdimple | ) | const |
bool ON_Symmetry::SameSymmetricObjectTopology | ( | const class ON_SubD * | subd | ) | const |
Returns: True if subd has identical topology to the subd passed to SetSymmetricObject().
bool ON_Symmetry::SameSymmetricObjectTopology | ( | const class ON_SubDimple * | subdimple | ) | const |
void ON_Symmetry::SetCleanupTolerance | ( | double | cleanup_tolerance | ) |
Description: Cleanup tolerance is a 3d world unt length used to preprocess input when creating symmetric objects. For example, in a reflect symmetry, cleanup tolerance would be used to move vertices near the reflection plane to be on the reflection plane. This tolerance is context sensitive. In the same model it could vary between two different input objects. The value is saved with the symmetry so calculations driven by modifying an input object can be repeated using the same cleanup tolerance. Parameters: cleanup_tolerance - [in] cleanup_tolerance >= ON_Symmetry::ZeroTolerance. The cleanup tolerance for this specific symmetry. The default is ON_Symmetry::ZeroTolerance.
bool ON_Symmetry::SetSymmetricObject | ( | const class ON_SubD * | subd | ) | const |
Description: If the SubD is known to have the symmetry specified by this ON_Symmetry, then SetSymmetricObject() is used to save the subd's geometry and topology hash on this ON_Symmetry. Parameters: subd - [in] This subd must have the symmetry specified by this ON_Symmetry. Returns: True if the symmetric object state was saved on this. False if input is not valid. Remarks: At a later time and after unknown modifications or copying, use SameSymmetricObjectGeometry(subd1) and SameSymmetricObjectTopology(subd1) to determine if subd1 has the same geometry or topology as subd at the time SetSymmetryObject(sub) was called.
bool ON_Symmetry::SetSymmetricObject | ( | const class ON_SubDimple * | subdimple | ) | const |
Description: If the parent SubD is known to have the symmetry specified by this ON_Symmetry, then SetSymmetricObject() is used to save the subd's geometry and topology hash on this ON_Symmetry. Parameters: subdimple - [in] The parent SubD must have the symmetry specified by this ON_Symmetry. Returns: True if the symmetric object state was saved on this. False if input is not valid. Remarks: The ON_SubDimple version is used internally. Pretend this doesn't exist.
At a later time and after unknown modifications or copying, use SameSymmetricObjectGeometry(subd1) and SameSymmetricObjectTopology(subd1) to determine if subd1 has the same geometry or topology as subd at the time SetSymmetryObject(sub) was called.
ON_Symmetry::Coordinates ON_Symmetry::SymmetryCoordinates | ( | ) | const |
Returns: Symmetry type.
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const ON_SHA1_Hash ON_Symmetry::SymmetryHash | ( | ) | const |
Returns: A SHA1 hash value that uniquely identifies the symmetry settings. Remarks: The symmetric object content serial number and symmetric object hashes are not included in the symmetry hash.
const ON_UUID ON_Symmetry::SymmetryId | ( | ) | const |
Returns: Symmetry unique id
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Description: A symmetry region has fixed points if one or more motif transforms of the applicable symmetry type fixes points in the region. Points in these regions typically need special processing when the symmetric object is edited. Returns: True if symmetry_region is one of ON_Symmetry::Region::OnRotationAxis, ON_Symmetry::Region::OnReflectionPlane, ON_Symmetry::Region::OnReflectionHalfPlane, ON_Symmetry::Region::OnSupplementalHalfPlane, or ON_Symmetry::Region::OnRotateAndReflectFixedPlane.
ON_Symmetry::Type ON_Symmetry::SymmetryType | ( | ) | const |
Returns: Symmetry type.
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double ON_Symmetry::Tolerance | ( | bool | bUseCleanupTolerance | ) | const |
Returns: bUseCleanupTolerance ? this->CleanupTolerance() : ON_Symmetry::ZeroTolerance;
void ON_Symmetry::ToText | ( | bool | bIncludeSymmetricObject, |
class ON_TextLog & | text_log | ||
) | const |
const ON_Symmetry ON_Symmetry::TransformConditionally | ( | const ON_Xform & | xform | ) | const |
Description: If SymmetryCoordinates() = ON_Symmetry::Coordinates::Object, then the symmetry definition is transformed.
const ON_Symmetry ON_Symmetry::TransformUnconditionally | ( | const ON_Xform & | xform | ) | const |
Description: The the symmetry definition is transformed.
bool ON_Symmetry::Write | ( | class ON_BinaryArchive & | ) | const |
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ON_Symmetry::ZeroTolerance is a 3d tolerance use to validate transformations, rotation axis locations, and plane equations. This tolerance is constant across all applications and used to validate symmetric objects. Use the per symmetry ON_Symmetry.CleanupTolerance() to prepare input objects. In a valid symmetric object, the distance between distinct SubD vertex locations must always be greater than ON_Symmetry::ZeroTolerance.