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NURBS3DSurface Class Reference

A NURBS 3D surface. More...

#include <NURBS3DSurface.H>

Inheritance diagram for NURBS3DSurface:
Collaboration diagram for NURBS3DSurface:

Public Member Functions

 NURBS3DSurface (const List< vector > &CPs, const label nPointsU, const label nPointsV, const NURBSbasis &uBasis, const NURBSbasis &vBasis, const word name="NURBS3DSurface")
 Construct from number of control points and basis functions.
 NURBS3DSurface (const List< vector > &CPs, const List< scalar > &weights, const label nPointsU, const label nPointsV, const NURBSbasis &uBasis, const NURBSbasis &vBasis, const word name="NURBS3DSurface")
 Construct from number of control points, weights and basis functions.
 NURBS3DSurface (const List< vector > &CPs, const label nPointsU, const label nPointsV, const label uDegree, const label vDegree, const label nCPsU, const label nCPsV, const word name="NURBS3DSurface")
 Construct from control points, basis degree and number of points.
 NURBS3DSurface (const List< vector > &CPs, const label nPointsU, const label nPointsV, const label uDegree, const label vDegree, const label nCPsU, const label nCPsV, const scalarField &knotsU, const scalarField &knotsV, const word name="NURBS3DSurface")
 Construct from control points, basis degree, knots and number of.
 NURBS3DSurface (const List< vector > &CPs, const List< scalar > &weights, const label nPointsU, const label nPointsV, const label uDegree, const label vDegree, const label nCPsU, const label nCPsV, const word name="NURBS3DSurface")
 Construct from control points, weights, basis degree, and number of.
 NURBS3DSurface (const List< vector > &CPs, const List< scalar > &weights, const label nPointsU, const label nPointsV, const label uDegree, const label vDegree, const label nCPsU, const label nCPsV, const scalarField &knotsU, const scalarField &knotsV, const word name="NURBS3DSurface")
 Construct from control points, weights, basis degree, knots and.
 NURBS3DSurface (const NURBS3DSurface &)
 Construct as copy.
 ~NURBS3DSurface ()=default
 Destructor.
void setNrmOrientation (const vector &givenNrm, const scalar u, const scalar v)
void flipNrmOrientation ()
 Flip the orientation of the nrm.
void setCPs (const List< vector > &CPs)
void setWeights (const scalarList &weights)
void setName (const word &name)
void buildSurface ()
void invertU ()
void invertV ()
void invertUV ()
void makeEquidistant (const label lenAcc=25, const label maxIter=10, const label spacingCorrInterval=-1, const scalar tolerance=1.e-5)
vector surfacePoint (const scalar &u, const scalar &v)
scalarList findClosestSurfacePoint (const vector &targetPoint, const label maxIter=100, const scalar tolerance=1.e-6)
tmp< vector2DFieldfindClosestSurfacePoint (const vectorField &targetPoints, const label maxIter=100, const scalar tolerance=1.e-6)
scalarList findClosestSurfacePoint (const vector &targetPoint, const scalar &uInitGuess, const scalar &vInitGuess, const label maxIter=100, const scalar tolerance=1.e-6)
const vector nrm (scalar u, scalar v)
List< scalarListgenEquidistant (const label nUPts=100, const label nVPts=100, const label lenAcc=25, const label maxIter=10, const label spacingCorrInterval=-1, const scalar tolerance=1.e-5)
 Generate points on the surface which are evenly spaced in cartesian.
bool checkRangeU (const scalar u, const label CPI, const label uDegree) const
bool checkRangeU (const scalar u, const label CPI) const
bool checkRangeV (const scalar v, const label CPI, const label vDegree) const
bool checkRangeV (const scalar v, const label CPI) const
bool checkRangeUV (const scalar v, const scalar u, const label CPI, const label uDegree, const label vDegree) const
bool checkRangeUV (const scalar v, const scalar u, const label CPI) const
scalar lengthU (const label vIConst, const label uIStart, const label uIEnd) const
scalar lengthU (const scalar vConst, const scalar uStart, const scalar uEnd, const label nPts) const
scalar lengthU (const label vIConst) const
scalar lengthU (const scalar vConst) const
scalar lengthV (const label uIConst, const label vIStart, const label vIEnd) const
scalar lengthV (const scalar uConst, const scalar vStart, const scalar vEnd, const label nPts) const
scalar lengthV (const label uIConst) const
scalar lengthV (const scalar uConst) const
vector surfaceDerivativeU (const scalar u, const scalar v) const
 Surface derivative wrt u at point u,v.
vector surfaceDerivativeV (const scalar u, const scalar v) const
 Surface derivative wrt v at point u,v.
vector surfaceDerivativeUV (const scalar u, const scalar v) const
 Surface second derivative wrt u and v at point u,v.
vector surfaceDerivativeUU (const scalar u, const scalar v) const
 Surface second derivative wrt u at point u,v.
vector surfaceDerivativeVV (const scalar u, const scalar v) const
 Surface second derivative wrt v at point u,v.
scalar surfaceDerivativeCP (const scalar u, const scalar v, const label CPI) const
 Surface derivative wrt the weight of CPI at point u,v.
vector surfaceDerivativeW (const scalar u, const scalar v, const label CPI) const
 Surface derivative wrt WI at point u,v.
scalar lengthDerivativeU (const scalar vConst, const scalar uStart, const scalar uEnd, const label nPts) const
 Surface derivative wrt u length along v=const contour range.
scalar lengthDerivativeV (const scalar uConst, const scalar vStart, const scalar vEnd, const label nPts) const
 Surface derivative wrt v length along u=const contour range.
const NURBSbasisgetBasisFunctionU () const
 Get basis function.
const NURBSbasisgetBasisFunctionV () const
const List< vector > & getCPs () const
 Get CPs.
const scalarListgetWeights () const
 Get weights.
const scalarListgetParametricCoordinatesU () const
 Get parametric coordinates.
const scalarListgetParametricCoordinatesV () const
const wordgetName () const
 Get name.
label getNPtsU () const
 Get number of point in u direction.
label getNPtsV () const
 Get number of point in u direction.
const labelListgetBoundaryCPIDs ()
 Get IDs of boundary control points.
const labelListgetBoundaryCPIs ()
const label & whichBoundaryCPI (const label &globalCPI)
 Get the boundary CP ID based on the global CP ID.
label nrmOrientation () const
 Return the nrm sgn relation to the u=0 nrm.
const vectorgivenInitNrm () const
 Return the initial nrmal given to compare to the Curve's nrmals.
const labelListgetCPsUCPIs () const
 Return ID in u direction for a given cp ID.
const labelListgetCPsVCPIs () const
 Return ID in v direction for a given cp ID.
void write ()
 Write curve to file.
void write (const word fileName)
void write (const fileName dirName, const fileName fileName)
void writeWParses ()
void writeWParses (const word fileName)
void writeWParses (const fileName dirName, const fileName fileName)
void writeVTK (const fileName vtkDirName, const fileName vtkFileName)
Public Member Functions inherited from Field< vector >
constexpr Field () noexcept
 Default construct.
 Field (const label len)
 Construct given size.
 Field (const label len, const vector &val)
 Construct given size and initial value.
 Field (const label len, Foam::zero)
 Construct given size and initial values of zero.
 Field (Foam::one, const vector &val)
 Construct with length=1, copying the value as the only content.
 Field (Foam::one, vector &&val)
 Construct with length=1, moving the value as the only content.
 Field (Foam::one, Foam::zero)
 Construct with length=1, initializing content to zero.
 Field (const Field< vector > &fld)
 Copy construct.
 Field (const UList< vector > &list)
 Copy construct from UList<Type>.
 Field (const IndirectListBase< vector, Addr > &list)
 Copy construct from IndirectList.
 Field (Field< vector > &&fld) noexcept
 Move construct from Field.
 Field (List< vector > &&list) noexcept
 Move construct from List.
 Field (DynamicList< vector, SizeMin > &&list)
 Move construct from DynamicList.
 Field (const UList< vector > &mapF, const labelUList &mapAddressing)
 Construct by 1 to 1 mapping from the given field.
 Field (const tmp< Field< vector > > &tmapF, const labelUList &mapAddressing)
 Construct by 1 to 1 mapping from the given tmp field.
 Field (const UList< vector > &mapF, const labelListList &mapAddressing, const scalarListList &weights)
 Construct by interpolative mapping from the given field.
 Field (const tmp< Field< vector > > &tmapF, const labelListList &mapAddressing, const scalarListList &weights)
 Construct by interpolative mapping from the given tmp field.
 Field (const UList< vector > &mapF, const FieldMapper &map, const bool applyFlip=true)
 Construct by mapping from the given field.
 Field (const UList< vector > &mapF, const FieldMapper &map, const vector &defaultValue, const bool applyFlip=true)
 Construct by mapping from the given field.
 Field (const UList< vector > &mapF, const FieldMapper &map, const UList< vector > &defaultValues, const bool applyFlip=true)
 Construct by mapping from the given field.
 Field (const tmp< Field< vector > > &tmapF, const FieldMapper &map, const bool applyFlip=true)
 Construct by mapping from the given tmp field.
 Field (const tmp< Field< vector > > &tmapF, const FieldMapper &map, const vector &defaultValue, const bool applyFlip=true)
 Construct by mapping from the given tmp field. Uses supplied uniform value for unmapped items.
 Field (const tmp< Field< vector > > &tmapF, const FieldMapper &map, const UList< vector > &defaultValues, const bool applyFlip=true)
 Construct by mapping from the given tmp field. Uses supplied values for unmapped items.
 Field (Field< vector > &fld, bool reuse)
 Copy construct or re-use as specified.
 Field (const tmp< Field< vector > > &tfld)
 Copy or move construct from tmp.
 Field (Istream &is)
 Construct from Istream.
 Field (const entry &e, const label len)
 Construct from a dictionary (primitive) entry.
 Field (const word &key, const dictionary &dict, const label len, IOobjectOption::readOption readOpt=IOobjectOption::MUST_READ)
 Lookup of a primitive dictionary entry by (literal) name and assign its contents to this. The behaviour largely as described in assign():
tmp< Field< vector > > clone () const
 Clone.
void assign (const entry &e, const label len)
 Assign from a primitive dictionary entry with the following behaviour:
bool assign (const word &key, const dictionary &dict, const label len, IOobjectOption::readOption readOpt=IOobjectOption::MUST_READ)
 Lookup a primitive dictionary entry by (literal) name and assign its contents to this (behaviour as described above).
void map (const UList< vector > &mapF, const labelUList &mapAddressing)
 1 to 1 map from the given field
void map (const tmp< Field< vector > > &tmapF, const labelUList &mapAddressing)
 1 to 1 map from the given tmp field
void map (const UList< vector > &mapF, const labelListList &mapAddressing, const scalarListList &weights)
 Interpolative map from the given field.
void map (const tmp< Field< vector > > &tmapF, const labelListList &mapAddressing, const scalarListList &weights)
 Interpolative map from the given tmp field.
void map (const UList< vector > &mapF, const FieldMapper &map, const bool applyFlip=true)
 Map from the given field.
void map (const tmp< Field< vector > > &tmapF, const FieldMapper &map, const bool applyFlip=true)
 Map from the given tmp field.
void autoMap (const FieldMapper &map, const bool applyFlip=true)
 Map from self.
void rmap (const UList< vector > &mapF, const labelUList &mapAddressing)
 1 to 1 reverse-map from the given field
void rmap (const tmp< Field< vector > > &tmapF, const labelUList &mapAddressing)
 1 to 1 reverse-map from the given tmp field
void rmap (const UList< vector > &mapF, const labelUList &mapAddressing, const UList< scalar > &weights)
 Interpolative reverse map from the given field.
void rmap (const tmp< Field< vector > > &tmapF, const labelUList &mapAddressing, const UList< scalar > &weights)
 Interpolative reverse map from the given tmp field.
void negate ()
 Inplace negate this field (negative).
void normalise ()
 Inplace normalise this field. Generally a no-op except for vector fields.
tmp< Field< cmptType > > component (const direction) const
 Return a component field of the field.
void replace (const direction, const UList< cmptType > &)
 Replace a component field of the field.
void replace (const direction, const tmp< Field< cmptType > > &)
 Replace a component field of the field.
void replace (const direction, const cmptType &)
 Replace a component field of the field.
void clamp_min (const vector &lower)
 Impose lower (floor) clamp on the field values (in-place).
void clamp_min (const UList< vector > &lower)
 Impose lower (floor) clamp on the field values (in-place).
void clamp_max (const vector &upper)
 Impose upper (ceiling) clamp on the field values (in-place).
void clamp_max (const UList< vector > &upper)
 Impose upper (ceiling) clamp on the field values (in-place).
void clamp_range (const vector &lower, const vector &upper)
 Clamp field values (in-place) to the specified range.
void clamp_range (const MinMax< vector > &range)
 Clamp field values (in-place) to the specified range.
VSForm block (const label start) const
tmp< Field< vector > > T () const
 Return the field transpose (only defined for second rank tensors).
void writeEntry (const word &keyword, Ostream &os) const
 Write the field as a dictionary entry.
SubField< vectorslice (const label pos, label len=-1)
 Return SubField slice (non-const access) - no range checking.
const SubField< vectorslice (const label pos, label len=-1) const
 Return SubField slice (const access) - no range checking.
SubField< vectorslice (const labelRange &range)
 Return SubField slice (non-const access) - with range checking.
const SubField< vectorslice (const labelRange &range) const
 Return SubField slice (const access) - with range checking.
void operator= (const Field< vector > &)
 Copy assignment.
void operator= (const tmp< Field< vector > > &)
void operator= (const UList< vector > &rhs)
void operator= (const SubField< vector > &rhs)
void operator= (const IndirectListBase< vector, Addr > &rhs)
 Copy assign from IndirectList.
void operator= (Field< vector > &&rhs)
 Move assignment.
void operator= (List< vector > &&rhs)
void operator= (DynamicList< vector, SizeMin > &&rhs)
void operator= (const vector &val)
 Assign entries to the given value.
void operator= (Foam::zero)
 Assign entries to zero.
void operator= (const VectorSpace< Form, Cmpt, nCmpt > &)
void operator+= (const UList< vector > &)
void operator+= (const tmp< Field< vector > > &)
void operator-= (const UList< vector > &)
void operator-= (const tmp< Field< vector > > &)
void operator*= (const UList< scalar > &)
void operator*= (const tmp< Field< scalar > > &)
void operator/= (const UList< scalar > &)
void operator/= (const tmp< Field< scalar > > &)
void operator+= (const vector &)
void operator-= (const vector &)
void operator*= (const scalar &)
void operator/= (const scalar &)
 Field (const Expression::ListExpression< E > &expr)
 Construct from value expression.
void operator= (const Expression::ListExpression< E > &expr)
 Assign values from expression.
void operator= (const tmp< Field > &rhs)
void normalise ()
void normalise ()
void normalise ()
 Inplace normalise (float) vector field.
void normalise ()
 Inplace normalise (double) vector field.
Public Member Functions inherited from FieldBase
constexpr FieldBase () noexcept
 Default construct.
Public Member Functions inherited from refCount
constexpr refCount () noexcept
 Default construct, initializing count to 0.
int use_count () const noexcept
 Return the current reference count.
bool unique () const noexcept
 Return true if the reference count is zero.
void operator++ () noexcept
 Increment the reference count.
void operator++ (int) noexcept
 Increment the reference count.
void operator-- () noexcept
 Decrement the reference count.
void operator-- (int) noexcept
 Decrement the reference count.
Public Member Functions inherited from List< vector >
constexpr List () noexcept
 Default construct.
 List (const label len)
 Construct with given size.
 List (const label len, const vector &val)
 Construct with given size and value for all elements.
 List (const label len, Foam::zero)
 Construct with given size initializing all elements to zero.
 List (Foam::one, const vector &val)
 Construct with length=1, copying the value as the only content.
 List (Foam::one, vector &&val)
 Construct with length=1, moving the value as the only content.
 List (Foam::one, Foam::zero)
 Construct with length=1, initializing content to zero.
 List (const List< vector > &list)
 Copy construct from list.
 List (const UList< vector > &list)
 Copy construct contents from list.
 List (List< vector > &list, bool reuse)
 Construct as copy or re-use as specified.
 List (const UList< vector > &list, const labelUList &indices)
 Copy construct subset of list.
 List (const UList< vector > &list, const FixedList< label, N > &indices)
 Copy construct subset of list.
 List (const FixedList< vector, N > &list)
 Construct as copy of FixedList<T, N>.
 List (const UPtrList< vector > &list)
 Construct as copy of UPtrList<T> content.
 List (const IndirectListBase< vector, Addr > &list)
 Construct as copy of IndirectList contents.
 List (std::initializer_list< vector > list)
 Construct from an initializer list.
 List (List< vector > &&list) noexcept
 Move construct from List.
 List (DynamicList< vector, SizeMin > &&list)
 Move construct from DynamicList.
 List (Istream &is)
 Construct from Istream.
autoPtr< List< vector > > clone () const
 Clone.
 ~List ()
 Destructor.
void clear ()
 Clear the list, i.e. set size to zero.
void resize (const label len)
 Adjust allocated size of list.
void resize (const label len, const vector &val)
 Adjust allocated size of list and set val for new elements.
void resize_copy (label count, const label len)
 Change allocated size of list, retaining the first count elements.
void resize_fill (const label len, const vector &val)
 Adjust allocated size of list and set val for all elements.
void resize_nocopy (const label len)
 Adjust allocated size of list without necessarily.
void transfer (List< vector > &list)
 Transfer the contents of the argument List into this list and annul the argument list.
void transfer (DynamicList< vector, SizeMin > &list)
 Transfer the contents of the argument List into this list and annul the argument list.
vectornewElmt (const label i)
 Return subscript-checked element of UList and resizing the list if required.
vectoremplace_back (Args &&... args)
 Construct an element at the end of the list, return reference to the new list element.
void push_back (const vector &val)
 Append an element at the end of the list.
void push_back (vector &&val)
 Move append an element at the end of the list.
void push_back (const UList< vector > &list)
 Append a List to the end of this list.
void push_back (const IndirectListBase< vector, Addr > &list)
 Append IndirectList contents at the end of this list.
label push_uniq (const vector &val)
 Append an element if not already in the list.
void pop_back (label n=1)
 Reduce size by 1 or more elements. Can be called on an empty list.
void operator= (const UList< vector > &list)
 Assignment to UList operator. Takes linear time.
void operator= (const List< vector > &list)
 Assignment operator. Takes linear time.
void operator= (const IndirectListBase< vector, Addr > &list)
 Assignment from IndirectList. Takes linear time.
void operator= (const FixedList< vector, N > &list)
 Copy assignment from FixedList.
void operator= (std::initializer_list< vector > list)
 Assignment to an initializer list.
void operator= (const vector &val)
 Assignment of all entries to the given value.
void operator= (Foam::zero)
 Assignment of all entries to zero.
void operator= (List< vector > &&list)
 Move assignment. Takes constant time.
void operator= (DynamicList< vector, SizeMin > &&list)
 Move assignment. Takes constant time.
IstreamreadList (Istream &is)
 Read List from Istream, discarding contents of existing List.
void shallowCopy (const UList< vector > &)=delete
 No shallowCopy permitted.
bool set (const label i, bool val=true)
 A bitSet::set() method for a list of bool.
void append (const vector &val)
 Append an element at the end of the list.
void append (vector &&val)
 Move append an element at the end of the list.
void append (const UList< vector > &list)
 Append a List to the end of this list.
void append (const IndirectListBase< vector, Addr > &list)
 Append IndirectList contents at the end of this list.
label appendUniq (const vector &val)
 Same as push_uniq().
void setSize (label n)
 Alias for resize().
void setSize (label n, const vector &val)
 Alias for resize().
 List (const Expression::ListExpression< E > &expr)
 Construct from value expression.
void operator= (const Expression::ListExpression< E > &expr)
 Assign values from expression.
void resize (const label len)
Public Member Functions inherited from UList< vector >
 UList (const UList< vector > &) noexcept=default
 Copy construct, shallow copy.
 UList (UList< vector > &&) noexcept=default
 Move construct, shallow copy.
UList< vector > & operator= (const UList< vector > &)=delete
 No copy assignment (default: shallow copy).
UList< vector > & operator= (UList< vector > &&) noexcept=default
 Move assignment, shallow copy.
constexpr UList () noexcept
 Default construct, zero-sized and nullptr.
 UList (vector *__restrict__ ptr, const label len) noexcept
 Construct from components.
 UList (SubList< vector > &&) noexcept
 Move construct from a SubList, shallow copy.
label fcIndex (const label i) const noexcept
 The forward circular index. The next index in the list which returns to the first at the end of the list.
label rcIndex (const label i) const noexcept
 The reverse circular index. The previous index in the list which returns to the last at the beginning of the list.
const vectorfcValue (const label i) const
 Return forward circular value (ie, next value in the list).
vectorfcValue (const label i)
 Return forward circular value (ie, next value in the list).
const vectorrcValue (const label i) const
 Return reverse circular value (ie, previous value in the list).
vectorrcValue (const label i)
 Return reverse circular value (ie, previous value in the list).
const vectorcdata () const noexcept
 Return pointer to the underlying array serving as data storage.
vectordata () noexcept
 Return pointer to the underlying array serving as data storage.
const char * cdata_bytes () const noexcept
 Return pointer to the underlying array serving as data storage,.
char * data_bytes () noexcept
 Return pointer to the underlying array serving as data storage,.
vectorfront ()
 Access first element of the list, position [0].
const vectorfront () const
 Access first element of the list.
vectorback ()
 Access last element of the list, position [size()-1].
const vectorback () const
 Access last element of the list, position [size()-1].
std::streamsize size_bytes () const noexcept
 Number of contiguous bytes for the List data.
std::streamsize byteSize () const
 Number of contiguous bytes for the List data, runtime FatalError if type is not contiguous.
void checkStart (const label start) const
 Check start is within valid range [0,size).
void checkSize (const label size) const
 Check size is within valid range [0,size].
void checkRange (const label start, const label len) const
 Check that start and length define a valid range.
void checkIndex (const label i) const
 Check index is within valid range [0,size).
bool uniform () const
 True if all entries have identical values, and list is non-empty.
bool contains (const vector &val) const
 True if the value is contained in the list.
bool contains (const vector &val, label pos, label len=-1) const
 Is the value contained in the list?
label find (const vector &val) const
 Find index of the first occurrence of the value.
label find (const vector &val, label pos, label len=-1) const
 Find index of the first occurrence of the value.
label rfind (const vector &val, label pos=-1) const
 Find index of the last occurrence of the value.
void moveFirst (const label i)
 Move element to the first position.
void moveLast (const label i)
 Move element to the last position.
void swapFirst (const label i)
 Swap element with the first element. Fatal on an empty list.
void swapLast (const label i)
 Swap element with the last element. Fatal on an empty list.
void shallowCopy (vector *__restrict__ ptr, const label len) noexcept
 Copy the pointer and size.
void shallowCopy (std::nullptr_t) noexcept
 Copy nullptr and zero size.
void shallowCopy (const UList< vector > &list) noexcept
 Copy the pointer and size held by the given UList.
void deepCopy (const UList< vector > &list)
 Copy elements of the given UList. Sizes must match!
void deepCopy (const IndirectListBase< vector, Addr > &list)
 Copy elements of the given indirect list. Sizes must match!
SubList< vectorslice (const label pos, label len=-1)
 Return SubList slice (non-const access) - no range checking.
const SubList< vectorslice (const label pos, label len=-1) const
 Return SubList slice (const access) - no range checking.
SubList< vectorslice (const labelRange &range)
 Return SubList slice (non-const access) - with range checking.
const SubList< vectorslice (const labelRange &range) const
 Return SubList slice (const access) - with range checking.
vectoroperator[] (const label i)
 Return element of UList.
const vectoroperator[] (const label i) const
 Return element of constant UList.
 operator const Foam::List< vector > & () const
 Allow cast to a const List<T>&.
void operator= (const vector &val)
 Assignment of all entries to the given value.
void operator= (Foam::zero)
 Assignment of all entries to zero.
iterator begin () noexcept
 Return an iterator to begin traversing the UList.
iterator end () noexcept
 Return an iterator to end traversing the UList.
iterator begin (const label i) noexcept
 Return iterator at offset i from begin, clamped to [0,size] range.
const_iterator cbegin () const noexcept
 Return const_iterator to begin traversing the constant UList.
const_iterator cend () const noexcept
 Return const_iterator to end traversing the constant UList.
const_iterator begin () const noexcept
 Return const_iterator to begin traversing the constant UList.
const_iterator end () const noexcept
 Return const_iterator to end traversing the constant UList.
const_iterator cbegin (const label i) const noexcept
 Return const_iterator at offset i from begin, clamped to [0,size] range.
const_iterator begin (const label i) const noexcept
 Return const_iterator at offset i from begin, clamped to [0,size] range.
reverse_iterator rbegin ()
 Return reverse_iterator to begin reverse traversing the UList.
reverse_iterator rend ()
 Return reverse_iterator to end reverse traversing the UList.
const_reverse_iterator crbegin () const
 Return const_reverse_iterator to begin reverse traversing the UList.
const_reverse_iterator crend () const
 Return const_reverse_iterator to end reverse traversing the UList.
const_reverse_iterator rbegin () const
 Return const_reverse_iterator to begin reverse traversing the UList.
const_reverse_iterator rend () const
 Return const_reverse_iterator to end reverse traversing the UList.
bool empty () const noexcept
 True if List is empty (ie, size() is zero).
label size () const noexcept
 The number of elements in the container.
label capacity () const noexcept
 Size of the underlying storage.
void swap (UList< vector > &list) noexcept
 Swap content with another UList of the same type in constant time.
bool operator== (const UList< vector > &list) const
 Equality operation on ULists of the same type.
bool operator!= (const UList< vector > &list) const
 The opposite of the equality operation. Takes linear time.
bool operator< (const UList< vector > &list) const
 Compare two ULists lexicographically. Takes linear time.
bool operator> (const UList< vector > &list) const
 Compare two ULists lexicographically. Takes linear time.
bool operator<= (const UList< vector > &list) const
 Return true if !(a > b). Takes linear time.
bool operator>= (const UList< vector > &list) const
 Return true if !(a < b). Takes linear time.
IstreamreadList (Istream &is)
 Read List contents from Istream.
void writeEntry (const word &keyword, Ostream &os) const
 Write the List as a dictionary entry with keyword.
OstreamwriteList (Ostream &os, const label shortLen=0) const
 Write List, with line-breaks in ASCII when length exceeds shortLen.
bool all () const
 True if all entries are 'true' or if the list is empty.
bool any () const
 True if any entries are 'true'.
bool none () const
 True if no entries are 'true'.
bool test (const label i) const
 Test bool value at specified position, always false for out-of-range access.
bool get (const label i) const
 Return bool value at specified position, always false for out-of-range access.
bool unset (const label i)
 Unset the bool entry at specified position, always false for out-of-range access.
std::string_view view () const
 Return a string_view of the charList. Content is non-modifiable.
vectorfirst ()
 Access first element of the list, position [0].
const vectorfirst () const
 Access first element of the list.
vectorlast ()
 Access last element of the list, position [size()-1].
const vectorlast () const
 Access last element of the list, position [size()-1].
bool found (const vector &val, label pos=0) const
 Same as contains().
auto expr () const
 Wrap value as expression.
void operator= (const Expression::ListExpression< E > &expr)
 Assign values from expression.
 operator const Foam::List< vector > & () const
 Allow cast to a const List<T>&.

Additional Inherited Members

Public Types inherited from Field< vector >
typedef pTraits< vector >::cmptType cmptType
 Component type.
typedef SubField< vectorsubField
 Declare type of subField.
Public Types inherited from List< vector >
typedef SubList< vectorsubList
 Declare type of subList.
Public Types inherited from UList< vector >
typedef vector value_type
 The value type the list contains.
typedef vectorpointer
 The pointer type for non-const access to value_type items.
typedef const vectorconst_pointer
 The pointer type for const access to value_type items.
typedef vectorreference
 The type used for storing into value_type objects.
typedef const vectorconst_reference
 The type used for reading from constant value_type objects.
typedef vectoriterator
 Random access iterator for traversing a UList.
typedef const vectorconst_iterator
 Random access iterator for traversing a UList.
typedef label size_type
 The type to represent the size of a UList.
typedef label difference_type
 The difference between iterator objects.
typedef std::reverse_iterator< iteratorreverse_iterator
 Reverse iterator (non-const access).
typedef std::reverse_iterator< const_iteratorconst_reverse_iterator
 Reverse iterator (const access).
using is_List
 Have unique tag.
Static Public Member Functions inherited from Field< vector >
static const Field< vector > & null () noexcept
 Return a null Field (reference to a nullObject). Behaves like an empty Field.
static autoPtr< Field< vector > > New (Istream &is)
 Return a pointer to a new Field created on freestore.
static tmp< Field< vector > > NewCalculatedType (const Field< Type2 > &f)
 Return a pointer to a new calculatedFvPatchFieldField created on freestore without setting patchField values.
Static Public Member Functions inherited from FieldBase
static void warnLocalBoundaryConsistencyCompat (const dictionary &)
 Warn about keyword changes for local boundary consistency checks.
static int localBoundaryConsistency () noexcept
 Get flag for local boundary consistency checks.
static int localBoundaryConsistency (int val) noexcept
 Set flag for local boundary consistency checks.
Static Public Member Functions inherited from List< vector >
static const List< vector > & null () noexcept
 Return a null List (reference to a nullObject). Behaves like an empty List.
Static Public Member Functions inherited from UList< vector >
static const UList< vector > & null () noexcept
 Return a null UList (reference to a nullObject). Behaves like an empty UList.
static constexpr label max_size () noexcept
 The size of the largest possible UList.
Static Public Attributes inherited from FieldBase
static const char *const typeName
 Typename for Field.
static bool allowConstructFromLargerSize = false
 Permit read construct from a larger size.
static bool unifiedGeometricField
 GeometricField with extra capacity for flattened boundary fields. Uses opt-switch "unifiedGeometricField".
static int localBoundaryConsistency_
 Local boundary field consistency checks. Uses opt-switch "localBoundaryConsistency".
static scalar localBoundaryTolerance_
 Tolerance for local boundary field consistency checks. Uses opt-switch "localBoundaryConsistency::tolerance".
Protected Member Functions inherited from UList< vector >
void setAddressableSize (const label n) noexcept
 Set addressed size to be inconsistent with allocated storage.
void size (const label n)
 Older name for setAddressableSize.
void writeEntry (Ostream &os) const
 Write the UList with its compound type.
labelRange validateRange (const labelRange &requestedRange) const
 Return a validated (start,size) subset range, which means that it always addresses a valid section of the list.
void fill_uniform (const vector &val)
 Assign all entries to the given value.
void fill_uniform (Foam::zero)
 Assign all entries to zero.

Detailed Description

A NURBS 3D surface.

Source files

Definition at line 50 of file NURBS3DSurface.H.

Constructor & Destructor Documentation

◆ NURBS3DSurface() [1/7]

NURBS3DSurface ( const List< vector > & CPs,
const label nPointsU,
const label nPointsV,
const NURBSbasis & uBasis,
const NURBSbasis & vBasis,
const word name = "NURBS3DSurface" )

Construct from number of control points and basis functions.

Definition at line 300 of file NURBS3DSurface.C.

References buildSurface(), Foam::name(), UList< vector >::size(), and Foam::Zero.

Referenced by NURBS3DSurface().

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◆ NURBS3DSurface() [2/7]

NURBS3DSurface ( const List< vector > & CPs,
const List< scalar > & weights,
const label nPointsU,
const label nPointsV,
const NURBSbasis & uBasis,
const NURBSbasis & vBasis,
const word name = "NURBS3DSurface" )

Construct from number of control points, weights and basis functions.

Definition at line 337 of file NURBS3DSurface.C.

References buildSurface(), Foam::name(), and Foam::Zero.

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◆ NURBS3DSurface() [3/7]

NURBS3DSurface ( const List< vector > & CPs,
const label nPointsU,
const label nPointsV,
const label uDegree,
const label vDegree,
const label nCPsU,
const label nCPsV,
const word name = "NURBS3DSurface" )

Construct from control points, basis degree and number of points.

Definition at line 375 of file NURBS3DSurface.C.

References buildSurface(), Foam::name(), UList< vector >::size(), and Foam::Zero.

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◆ NURBS3DSurface() [4/7]

NURBS3DSurface ( const List< vector > & CPs,
const label nPointsU,
const label nPointsV,
const label uDegree,
const label vDegree,
const label nCPsU,
const label nCPsV,
const scalarField & knotsU,
const scalarField & knotsV,
const word name = "NURBS3DSurface" )

Construct from control points, basis degree, knots and number of.

points

Definition at line 423 of file NURBS3DSurface.C.

References buildSurface(), Foam::name(), UList< vector >::size(), and Foam::Zero.

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◆ NURBS3DSurface() [5/7]

NURBS3DSurface ( const List< vector > & CPs,
const List< scalar > & weights,
const label nPointsU,
const label nPointsV,
const label uDegree,
const label vDegree,
const label nCPsU,
const label nCPsV,
const word name = "NURBS3DSurface" )

Construct from control points, weights, basis degree, and number of.

points

Definition at line 473 of file NURBS3DSurface.C.

References buildSurface(), Foam::name(), and Foam::Zero.

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◆ NURBS3DSurface() [6/7]

NURBS3DSurface ( const List< vector > & CPs,
const List< scalar > & weights,
const label nPointsU,
const label nPointsV,
const label uDegree,
const label vDegree,
const label nCPsU,
const label nCPsV,
const scalarField & knotsU,
const scalarField & knotsV,
const word name = "NURBS3DSurface" )

Construct from control points, weights, basis degree, knots and.

number of points

Definition at line 523 of file NURBS3DSurface.C.

References buildSurface(), Foam::name(), and Foam::Zero.

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◆ NURBS3DSurface() [7/7]

NURBS3DSurface ( const NURBS3DSurface & )

Construct as copy.

References NURBS3DSurface().

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◆ ~NURBS3DSurface()

~NURBS3DSurface ( )
default

Destructor.

References Foam::name().

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Member Function Documentation

◆ setNrmOrientation()

void setNrmOrientation ( const vector & givenNrm,
const scalar u,
const scalar v )

Definition at line 577 of file NURBS3DSurface.C.

References Foam::endl(), Foam::Info, Foam::mag(), surfaceDerivativeU(), and surfaceDerivativeV().

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◆ flipNrmOrientation()

void flipNrmOrientation ( )

Flip the orientation of the nrm.

Definition at line 606 of file NURBS3DSurface.C.

◆ setCPs()

void setCPs ( const List< vector > & CPs)

Definition at line 619 of file NURBS3DSurface.C.

◆ setWeights()

void setWeights ( const scalarList & weights)

Definition at line 625 of file NURBS3DSurface.C.

◆ setName()

void setName ( const word & name)

Definition at line 631 of file NURBS3DSurface.C.

References Foam::name().

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◆ buildSurface()

void buildSurface ( )

Definition at line 637 of file NURBS3DSurface.C.

References field(), UList< vector >::operator[](), Foam::Zero, and VectorSpace< Form, Cmpt, Ncmpts >::zero.

Referenced by invertU(), invertUV(), invertV(), makeEquidistant(), NURBS3DSurface(), NURBS3DSurface(), NURBS3DSurface(), NURBS3DSurface(), NURBS3DSurface(), NURBS3DSurface(), and writeVTK().

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◆ invertU()

void invertU ( )

Definition at line 696 of file NURBS3DSurface.C.

References buildSurface(), Foam::endl(), Foam::Info, and Foam::Zero.

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◆ invertV()

void invertV ( )

Definition at line 725 of file NURBS3DSurface.C.

References buildSurface(), Foam::endl(), Foam::Info, and Foam::Zero.

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◆ invertUV()

void invertUV ( )

Definition at line 754 of file NURBS3DSurface.C.

References buildSurface(), Foam::endl(), Foam::Info, and Foam::Zero.

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◆ makeEquidistant()

void makeEquidistant ( const label lenAcc = 25,
const label maxIter = 10,
const label spacingCorrInterval = -1,
const scalar tolerance = 1.e-5 )

Definition at line 784 of file NURBS3DSurface.C.

References buildSurface(), forAll, and Foam::Zero.

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◆ surfacePoint()

vector surfacePoint ( const scalar & u,
const scalar & v )

Definition at line 870 of file NURBS3DSurface.C.

References Foam::Zero.

Referenced by findClosestSurfacePoint(), findClosestSurfacePoint(), and findClosestSurfacePoint().

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◆ findClosestSurfacePoint() [1/3]

scalarList findClosestSurfacePoint ( const vector & targetPoint,
const label maxIter = 100,
const scalar tolerance = 1.e-6 )

◆ findClosestSurfacePoint() [2/3]

tmp< vector2DField > findClosestSurfacePoint ( const vectorField & targetPoints,
const label maxIter = 100,
const scalar tolerance = 1.e-6 )

◆ findClosestSurfacePoint() [3/3]

scalarList findClosestSurfacePoint ( const vector & targetPoint,
const scalar & uInitGuess,
const scalar & vInitGuess,
const label maxIter = 100,
const scalar tolerance = 1.e-6 )

Definition at line 1199 of file NURBS3DSurface.C.

References Foam::endl(), Foam::mag(), surfaceDerivativeU(), surfaceDerivativeUU(), surfaceDerivativeV(), surfaceDerivativeVV(), surfacePoint(), and WarningInFunction.

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◆ nrm()

const vector nrm ( scalar u,
scalar v )

Definition at line 1256 of file NURBS3DSurface.C.

References Foam::mag(), surfaceDerivativeU(), surfaceDerivativeV(), and Foam::Zero.

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◆ genEquidistant()

List< scalarList > genEquidistant ( const label nUPts = 100,
const label nVPts = 100,
const label lenAcc = 25,
const label maxIter = 10,
const label spacingCorrInterval = -1,
const scalar tolerance = 1.e-5 )

Generate points on the surface which are evenly spaced in cartesian.

coordinate distances.

Definition at line 1275 of file NURBS3DSurface.C.

References forAll, U, and Foam::Zero.

◆ checkRangeU() [1/2]

bool checkRangeU ( const scalar u,
const label CPI,
const label uDegree ) const

Definition at line 1371 of file NURBS3DSurface.C.

Referenced by checkRangeU(), and checkRangeUV().

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◆ checkRangeU() [2/2]

bool checkRangeU ( const scalar u,
const label CPI ) const

Definition at line 1384 of file NURBS3DSurface.C.

References checkRangeU().

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◆ checkRangeV() [1/2]

bool checkRangeV ( const scalar v,
const label CPI,
const label vDegree ) const

Definition at line 1396 of file NURBS3DSurface.C.

Referenced by checkRangeUV(), and checkRangeV().

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◆ checkRangeV() [2/2]

bool checkRangeV ( const scalar v,
const label CPI ) const

Definition at line 1409 of file NURBS3DSurface.C.

References checkRangeV().

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◆ checkRangeUV() [1/2]

bool checkRangeUV ( const scalar v,
const scalar u,
const label CPI,
const label uDegree,
const label vDegree ) const

Definition at line 1421 of file NURBS3DSurface.C.

References checkRangeU(), and checkRangeV().

Referenced by checkRangeUV().

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◆ checkRangeUV() [2/2]

bool checkRangeUV ( const scalar v,
const scalar u,
const label CPI ) const

Definition at line 1439 of file NURBS3DSurface.C.

References checkRangeUV().

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◆ lengthU() [1/4]

scalar lengthU ( const label vIConst,
const label uIStart,
const label uIEnd ) const

Definition at line 1453 of file NURBS3DSurface.C.

References forAll, Foam::mag(), surfaceDerivativeU(), and Foam::Zero.

Referenced by lengthU(), and lengthU().

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◆ lengthU() [2/4]

scalar lengthU ( const scalar vConst,
const scalar uStart,
const scalar uEnd,
const label nPts ) const

Definition at line 1487 of file NURBS3DSurface.C.

References forAll, Foam::mag(), surfaceDerivativeU(), and Foam::Zero.

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◆ lengthU() [3/4]

scalar lengthU ( const label vIConst) const

Definition at line 1518 of file NURBS3DSurface.C.

References lengthU().

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◆ lengthU() [4/4]

scalar lengthU ( const scalar vConst) const

Definition at line 1524 of file NURBS3DSurface.C.

References lengthU().

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◆ lengthV() [1/4]

scalar lengthV ( const label uIConst,
const label vIStart,
const label vIEnd ) const

Definition at line 1530 of file NURBS3DSurface.C.

References forAll, Foam::mag(), surfaceDerivativeV(), and Foam::Zero.

Referenced by lengthV(), and lengthV().

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◆ lengthV() [2/4]

scalar lengthV ( const scalar uConst,
const scalar vStart,
const scalar vEnd,
const label nPts ) const

Definition at line 1564 of file NURBS3DSurface.C.

References forAll, Foam::mag(), surfaceDerivativeV(), and Foam::Zero.

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◆ lengthV() [3/4]

scalar lengthV ( const label uIConst) const

Definition at line 1595 of file NURBS3DSurface.C.

References lengthV().

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◆ lengthV() [4/4]

scalar lengthV ( const scalar uConst) const

Definition at line 1601 of file NURBS3DSurface.C.

References lengthV().

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◆ surfaceDerivativeU()

vector surfaceDerivativeU ( const scalar u,
const scalar v ) const

Surface derivative wrt u at point u,v.

Definition at line 1609 of file NURBS3DSurface.C.

References Foam::Zero.

Referenced by findClosestSurfacePoint(), findClosestSurfacePoint(), findClosestSurfacePoint(), lengthDerivativeU(), lengthU(), lengthU(), nrm(), and setNrmOrientation().

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◆ surfaceDerivativeV()

vector surfaceDerivativeV ( const scalar u,
const scalar v ) const

Surface derivative wrt v at point u,v.

Definition at line 1651 of file NURBS3DSurface.C.

References Foam::Zero.

Referenced by findClosestSurfacePoint(), findClosestSurfacePoint(), findClosestSurfacePoint(), lengthDerivativeV(), lengthV(), lengthV(), nrm(), and setNrmOrientation().

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◆ surfaceDerivativeUV()

vector surfaceDerivativeUV ( const scalar u,
const scalar v ) const

Surface second derivative wrt u and v at point u,v.

Definition at line 1693 of file NURBS3DSurface.C.

References Foam::Zero.

Referenced by findClosestSurfacePoint(), and findClosestSurfacePoint().

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◆ surfaceDerivativeUU()

vector surfaceDerivativeUU ( const scalar u,
const scalar v ) const

Surface second derivative wrt u at point u,v.

Definition at line 1755 of file NURBS3DSurface.C.

References Foam::Zero.

Referenced by findClosestSurfacePoint(), findClosestSurfacePoint(), findClosestSurfacePoint(), and lengthDerivativeU().

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◆ surfaceDerivativeVV()

vector surfaceDerivativeVV ( const scalar u,
const scalar v ) const

Surface second derivative wrt v at point u,v.

Definition at line 1811 of file NURBS3DSurface.C.

References Foam::Zero.

Referenced by findClosestSurfacePoint(), findClosestSurfacePoint(), findClosestSurfacePoint(), and lengthDerivativeV().

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◆ surfaceDerivativeCP()

scalar surfaceDerivativeCP ( const scalar u,
const scalar v,
const label CPI ) const

Surface derivative wrt the weight of CPI at point u,v.

Definition at line 1867 of file NURBS3DSurface.C.

References Foam::Zero.

◆ surfaceDerivativeW()

vector surfaceDerivativeW ( const scalar u,
const scalar v,
const label CPI ) const

Surface derivative wrt WI at point u,v.

Definition at line 1909 of file NURBS3DSurface.C.

References Foam::Zero.

◆ lengthDerivativeU()

scalar lengthDerivativeU ( const scalar vConst,
const scalar uStart,
const scalar uEnd,
const label nPts ) const

Surface derivative wrt u length along v=const contour range.

Definition at line 1952 of file NURBS3DSurface.C.

References forAll, Foam::mag(), surfaceDerivativeU(), surfaceDerivativeUU(), and Foam::Zero.

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◆ lengthDerivativeV()

scalar lengthDerivativeV ( const scalar uConst,
const scalar vStart,
const scalar vEnd,
const label nPts ) const

Surface derivative wrt v length along u=const contour range.

Definition at line 1990 of file NURBS3DSurface.C.

References forAll, Foam::mag(), surfaceDerivativeV(), surfaceDerivativeVV(), and Foam::Zero.

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◆ getBasisFunctionU()

const NURBSbasis & getBasisFunctionU ( ) const
inline

Get basis function.

Definition at line 501 of file NURBS3DSurface.H.

◆ getBasisFunctionV()

const NURBSbasis & getBasisFunctionV ( ) const
inline

Definition at line 506 of file NURBS3DSurface.H.

◆ getCPs()

const List< vector > & getCPs ( ) const
inline

Get CPs.

Definition at line 514 of file NURBS3DSurface.H.

◆ getWeights()

const scalarList & getWeights ( ) const
inline

Get weights.

Definition at line 522 of file NURBS3DSurface.H.

◆ getParametricCoordinatesU()

const scalarList & getParametricCoordinatesU ( ) const
inline

Get parametric coordinates.

Definition at line 530 of file NURBS3DSurface.H.

◆ getParametricCoordinatesV()

const scalarList & getParametricCoordinatesV ( ) const
inline

Definition at line 535 of file NURBS3DSurface.H.

◆ getName()

const word & getName ( ) const
inline

Get name.

Definition at line 543 of file NURBS3DSurface.H.

◆ getNPtsU()

label getNPtsU ( ) const
inline

Get number of point in u direction.

Definition at line 551 of file NURBS3DSurface.H.

◆ getNPtsV()

label getNPtsV ( ) const
inline

Get number of point in u direction.

Definition at line 559 of file NURBS3DSurface.H.

◆ getBoundaryCPIDs()

const labelList & getBoundaryCPIDs ( )

Get IDs of boundary control points.

Definition at line 2030 of file NURBS3DSurface.C.

Referenced by getBoundaryCPIs(), and whichBoundaryCPI().

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◆ getBoundaryCPIs()

const labelList & getBoundaryCPIs ( )

Definition at line 2068 of file NURBS3DSurface.C.

References getBoundaryCPIDs().

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◆ whichBoundaryCPI()

const label & whichBoundaryCPI ( const label & globalCPI)

Get the boundary CP ID based on the global CP ID.

Definition at line 2074 of file NURBS3DSurface.C.

References getBoundaryCPIDs().

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◆ nrmOrientation()

label nrmOrientation ( ) const
inline

Return the nrm sgn relation to the u=0 nrm.

Definition at line 579 of file NURBS3DSurface.H.

◆ givenInitNrm()

const vector & givenInitNrm ( ) const
inline

Return the initial nrmal given to compare to the Curve's nrmals.

Definition at line 587 of file NURBS3DSurface.H.

◆ getCPsUCPIs()

const labelList & getCPsUCPIs ( ) const
inline

Return ID in u direction for a given cp ID.

Definition at line 595 of file NURBS3DSurface.H.

◆ getCPsVCPIs()

const labelList & getCPsVCPIs ( ) const
inline

Return ID in v direction for a given cp ID.

Definition at line 603 of file NURBS3DSurface.H.

◆ write() [1/3]

void write ( )

Write curve to file.

Definition at line 2087 of file NURBS3DSurface.C.

References write().

Referenced by write().

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◆ write() [2/3]

void write ( const word fileName)

Definition at line 2093 of file NURBS3DSurface.C.

References Foam::endl(), forAll, and UPstream::master().

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◆ write() [3/3]

void write ( const fileName dirName,
const fileName fileName )

Definition at line 2150 of file NURBS3DSurface.C.

References Foam::endl(), forAll, and UPstream::master().

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◆ writeWParses() [1/3]

void writeWParses ( )

Definition at line 2207 of file NURBS3DSurface.C.

References writeWParses().

Referenced by writeWParses().

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◆ writeWParses() [2/3]

void writeWParses ( const word fileName)

Definition at line 2213 of file NURBS3DSurface.C.

References Foam::endl(), forAll, and UPstream::master().

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◆ writeWParses() [3/3]

void writeWParses ( const fileName dirName,
const fileName fileName )

Definition at line 2272 of file NURBS3DSurface.C.

References Foam::endl(), forAll, and UPstream::master().

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◆ writeVTK()

void writeVTK ( const fileName vtkDirName,
const fileName vtkFileName )

Definition at line 2335 of file NURBS3DSurface.C.

References buildSurface(), Foam::exit(), Foam::FatalError, FatalErrorInFunction, fileName::has_ext(), UPstream::master(), and writer().

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The documentation for this class was generated from the following files:
  • src/optimisation/adjointOptimisation/adjoint/parameterization/NURBS/NURBS3DSurface/NURBS3DSurface.H
  • src/optimisation/adjointOptimisation/adjoint/parameterization/NURBS/NURBS3DSurface/NURBS3DSurface.C