NURBS3DCurve Class Reference

A NURBS 3D curve. More...

Inheritance diagram for NURBS3DCurve:
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Collaboration diagram for NURBS3DCurve:
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Public Member Functions

 NURBS3DCurve (const NURBSbasis &basis, const List< vector > &CPs, const List< scalar > &weights, const scalarField &u, const label nPts, const word name="NURBS3DCurve")
 
 NURBS3DCurve (const NURBSbasis &basis, const List< vector > &CPs, const List< scalar > &weights, const label nPts, const word name="NURBS3DCurve")
 Construct from control points, weights and basis order. More...
 
 NURBS3DCurve (const NURBSbasis &basis, const List< vector > &CPs, const label nPts, const word name="NURBS3DCurve")
 Construct from control points and basis order. More...
 
 NURBS3DCurve (const NURBS3DCurve &)
 Construct as copy. More...
 
 ~NURBS3DCurve ()=default
 Destructor. More...
 
void setNrm3DOrientation (const vector &givenNrm, const vector &givenTan)
 
void setNrm2DOrientation (const vector &givenNrm, const scalar zVal)
 
void flipNrmOrientation ()
 Flip the orientation of the nrm. More...
 
void setCPs (const List< vector > &CPs)
 Set CPs. More...
 
void setWeights (const List< scalar > &weights)
 Set weights. More...
 
void setName (const word &name)
 Set name. More...
 
void buildCurve ()
 Build curve. More...
 
void invert ()
 Invert CPs order and re-build curve. More...
 
void insertKnot (const scalarField &oldKnots, const scalar uBar, const label kInsert)
 Insert a knot by re-computing the control points. More...
 
void makeEquidistant (const label lenAcc=25, const label maxIter=10, const label spacingCorrInterval=-1, const scalar tolerance=1.e-5)
 Make curve points equidistant in cartesian space. More...
 
vector curvePoint (const scalar u) const
 Curve point cartesian coordinates at ui. More...
 
scalar findClosestCurvePoint (const vector &targetPoint, const label maxIter=1000, const scalar tolerance=1.e-13)
 
scalar findClosestCurvePoint (const vector &targetPoint, const scalar initGuess, const label maxIter=1000, const scalar tolerance=1.e-13)
 
const vector nrm3D (const vector &refTan, const scalar u) const
 Find the normal to the curve, with the option of forcing a z-plane. More...
 
const vector nrm2D (const scalar zVal, const scalar u) const
 
scalarList genEquidistant (const label nPts=100, const label lenAcc=25, const label maxIter=10, const label spacingCorrInterval=-1, const scalar tolerance=1.e-5)
 
bool checkRange (const scalar u, const label CPI, const label degree) const
 Check if given parametric coordinate u and CP are linked. More...
 
bool checkRange (const scalar u, const label CPI) const
 
scalar length (const label uIStart, const label uIEnd) const
 
scalar length (const scalar uStart, const scalar uEnd, const label nPts) const
 
scalar length () const
 Calculate length for the entire curve length. More...
 
vector curveDerivativeU (const scalar u) const
 Curve derivative wrt u at point ui. More...
 
vector curveDerivativeUU (const scalar u) const
 Curve second derivative wrt u at point ui. More...
 
scalar curveDerivativeCP (const scalar u, const label CPI)
 
vector curveDerivativeWeight (const scalar u, const label CPI)
 Curve derivative wrt CPII at point u. More...
 
scalar lengthDerivativeU (const scalar uStart, const scalar uEnd, const label nPts)
 
const NURBSbasisgetBasisFunction () const
 Get basis function. More...
 
const List< vector > & getCPs () const
 Get CPs. More...
 
const List< scalar > & getWeights () const
 Get weights. More...
 
const List< scalar > & getParametricCoordinates () const
 Get parametric coordinates. More...
 
const wordgetName () const
 Get name. More...
 
label nrmOrientation () const
 Return the nrm sgn relation to the u=0 nrm. More...
 
const vectorgivenInitNrm () const
 Return the initial normal given to compare to the Curve's normals. More...
 
void write ()
 Write curve to file. More...
 
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)
 
- Public Member Functions inherited from Field< vector >
constexpr Field () noexcept
 Default construct. More...
 
 Field (const label len)
 Construct given size. More...
 
 Field (const label len, const vector &val)
 Construct given size and initial value. More...
 
 Field (const label len, const Foam::zero)
 Construct given size and initial values of zero. More...
 
 Field (const Foam::one, const vector &val)
 Construct with length=1, copying the value as the only content. More...
 
 Field (const Foam::one, vector &&val)
 Construct with length=1, moving the value as the only content. More...
 
 Field (const Foam::one, const Foam::zero)
 Construct with length=1, initializing content to zero. More...
 
 Field (const Field< vector > &fld)
 Copy construct. More...
 
 Field (const UList< vector > &list)
 Copy construct from UList<Type> More...
 
 Field (const IndirectListBase< vector, Addr > &list)
 Copy construct from IndirectList. More...
 
 Field (Field< vector > &&fld)
 Move construct from Field. More...
 
 Field (List< vector > &&list)
 Move construct from List. More...
 
 Field (DynamicList< vector, SizeMin > &&list)
 Move construct from DynamicList. More...
 
 Field (const UList< vector > &mapF, const labelUList &mapAddressing)
 Construct by 1 to 1 mapping from the given field. More...
 
 Field (const tmp< Field< vector > > &tmapF, const labelUList &mapAddressing)
 Construct by 1 to 1 mapping from the given tmp field. More...
 
 Field (const UList< vector > &mapF, const labelListList &mapAddressing, const scalarListList &weights)
 Construct by interpolative mapping from the given field. More...
 
 Field (const tmp< Field< vector > > &tmapF, const labelListList &mapAddressing, const scalarListList &weights)
 Construct by interpolative mapping from the given tmp field. More...
 
 Field (const UList< vector > &mapF, const FieldMapper &map, const bool applyFlip=true)
 Construct by mapping from the given field. More...
 
 Field (const UList< vector > &mapF, const FieldMapper &map, const vector &defaultValue, const bool applyFlip=true)
 Construct by mapping from the given field. More...
 
 Field (const UList< vector > &mapF, const FieldMapper &map, const UList< vector > &defaultValues, const bool applyFlip=true)
 Construct by mapping from the given field. More...
 
 Field (const tmp< Field< vector > > &tmapF, const FieldMapper &map, const bool applyFlip=true)
 Construct by mapping from the given tmp field. More...
 
 Field (const tmp< Field< vector > > &tmapF, const FieldMapper &map, const vector &defaultValue, const bool applyFlip=true)
 
 Field (const tmp< Field< vector > > &tmapF, const FieldMapper &map, const UList< vector > &defaultValues, const bool applyFlip=true)
 
 Field (Field< vector > &fld, bool reuse)
 Copy construct or re-use as specified. More...
 
 Field (const tmp< Field< vector > > &tfld)
 Copy or move construct from tmp. More...
 
 Field (Istream &is)
 Construct from Istream. More...
 
 Field (const word &keyword, const dictionary &dict, const label len)
 Construct from a dictionary entry. More...
 
tmp< Field< vector > > clone () const
 Clone. More...
 
void map (const UList< vector > &mapF, const labelUList &mapAddressing)
 1 to 1 map from the given field More...
 
void map (const tmp< Field< vector > > &tmapF, const labelUList &mapAddressing)
 1 to 1 map from the given tmp field More...
 
void map (const UList< vector > &mapF, const labelListList &mapAddressing, const scalarListList &weights)
 Interpolative map from the given field. More...
 
void map (const tmp< Field< vector > > &tmapF, const labelListList &mapAddressing, const scalarListList &weights)
 Interpolative map from the given tmp field. More...
 
void map (const UList< vector > &mapF, const FieldMapper &map, const bool applyFlip=true)
 Map from the given field. More...
 
void map (const tmp< Field< vector > > &tmapF, const FieldMapper &map, const bool applyFlip=true)
 Map from the given tmp field. More...
 
void autoMap (const FieldMapper &map, const bool applyFlip=true)
 Map from self. More...
 
void rmap (const UList< vector > &mapF, const labelUList &mapAddressing)
 1 to 1 reverse-map from the given field More...
 
void rmap (const tmp< Field< vector > > &tmapF, const labelUList &mapAddressing)
 1 to 1 reverse-map from the given tmp field More...
 
void rmap (const UList< vector > &mapF, const labelUList &mapAddressing, const UList< scalar > &weights)
 Interpolative reverse map from the given field. More...
 
void rmap (const tmp< Field< vector > > &tmapF, const labelUList &mapAddressing, const UList< scalar > &weights)
 Interpolative reverse map from the given tmp field. More...
 
void negate ()
 Inplace negate this field (negative). More...
 
void normalise ()
 
void normalise ()
 
void normalise ()
 
void normalise ()
 Inplace normalise (float) vector field. More...
 
void normalise ()
 Inplace normalise (double) vector field. More...
 
tmp< Field< cmptType > > component (const direction) const
 Return a component field of the field. More...
 
void replace (const direction, const UList< cmptType > &)
 Replace a component field of the field. More...
 
void replace (const direction, const tmp< Field< cmptType > > &)
 Replace a component field of the field. More...
 
void replace (const direction, const cmptType &)
 Replace a component field of the field. More...
 
VSForm block (const label start) const
 
tmp< Field< vector > > T () const
 Return the field transpose (only defined for second rank tensors) More...
 
void writeEntry (const word &keyword, Ostream &os) const
 Write the field as a dictionary entry. More...
 
SubField< vectorslice (const label pos, label len=-1)
 Return SubField slice (non-const access) - no range checking. More...
 
const SubField< vectorslice (const label pos, label len=-1) const
 Return SubField slice (const access) - no range checking. More...
 
SubField< vectorslice (const labelRange &range)
 Return SubField slice (non-const access) - with range checking. More...
 
const SubField< vectorslice (const labelRange &range) const
 Return SubField slice (const access) - with range checking. More...
 
void operator= (const Field< vector > &)
 Copy assignment. More...
 
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. More...
 
void operator= (Field< vector > &&rhs)
 Move assignment. More...
 
void operator= (List< vector > &&rhs)
 
void operator= (DynamicList< vector, SizeMin > &&rhs)
 
void operator= (const vector &val)
 Value assignment. More...
 
void operator= (const Foam::zero)
 
void operator= (const VectorSpace< Form, Cmpt, nCmpt > &)
 
void operator= (const tmp< Field > &rhs)
 
void operator+= (const UList< vector > &)
 
void operator+= (const tmp< Field< vector > > &)
 
void operator+= (const vector &)
 
void operator-= (const UList< vector > &)
 
void operator-= (const tmp< Field< vector > > &)
 
void operator-= (const vector &)
 
void operator*= (const UList< scalar > &)
 
void operator*= (const tmp< Field< scalar > > &)
 
void operator*= (const scalar &)
 
void operator/= (const UList< scalar > &)
 
void operator/= (const tmp< Field< scalar > > &)
 
void operator/= (const scalar &)
 
- Public Member Functions inherited from FieldBase
constexpr FieldBase () noexcept
 Default construct, refCount zero. More...
 
- Public Member Functions inherited from refCount
constexpr refCount () noexcept
 Default construct, initializing count to 0. More...
 
int count () const noexcept
 Return the current reference count. More...
 
bool unique () const noexcept
 Return true if the reference count is zero. More...
 
void operator++ () noexcept
 Increment the reference count. More...
 
void operator++ (int) noexcept
 Increment the reference count. More...
 
void operator-- () noexcept
 Decrement the reference count. More...
 
void operator-- (int) noexcept
 Decrement the reference count. More...
 
- Public Member Functions inherited from List< T >
constexpr List () noexcept
 Default construct. More...
 
 List (const label len)
 Construct with given size. More...
 
 List (const label len, const T &val)
 Construct with given size and value for all elements. More...
 
 List (const label len, const Foam::zero)
 Construct with given size initializing all elements to zero. More...
 
 List (const Foam::one, const T &val)
 Construct with length=1, copying the value as the only content. More...
 
 List (const Foam::one, T &&val)
 Construct with length=1, moving the value as the only content. More...
 
 List (const Foam::one, const Foam::zero)
 Construct with length=1, initializing content to zero. More...
 
 List (const List< T > &a)
 Copy construct from list. More...
 
 List (const UList< T > &a)
 Copy construct contents from list. More...
 
 List (List< T > &a, bool reuse)
 Construct as copy or re-use as specified. More...
 
 List (const UList< T > &list, const labelUList &indices)
 Copy construct subset of list. More...
 
template<unsigned N>
 List (const UList< T > &list, const FixedList< label, N > &indices)
 Copy construct subset of list. More...
 
template<unsigned N>
 List (const FixedList< T, N > &list)
 Construct as copy of FixedList<T, N> More...
 
 List (const PtrList< T > &list)
 Construct as copy of PtrList<T> More...
 
 List (const SLList< T > &list)
 Construct as copy of SLList<T> More...
 
template<class Addr >
 List (const IndirectListBase< T, Addr > &list)
 Construct as copy of IndirectList contents. More...
 
 List (std::initializer_list< T > list)
 Construct from an initializer list. More...
 
 List (List< T > &&list)
 Move construct from List. More...
 
template<int SizeMin>
 List (DynamicList< T, SizeMin > &&list)
 Move construct from DynamicList. More...
 
 List (SLList< T > &&list)
 Move construct from SLList. More...
 
 List (Istream &is)
 Construct from Istream. More...
 
autoPtr< List< T > > clone () const
 Clone. More...
 
 ~List ()
 Destructor. More...
 
void clear ()
 Clear the list, i.e. set size to zero. More...
 
void resize (const label len)
 Adjust allocated size of list. More...
 
void resize (const label len, const T &val)
 Adjust allocated size of list and set val for new elements. More...
 
void resize_nocopy (const label len)
 Adjust allocated size of list without necessarily. More...
 
void setSize (const label n)
 Alias for resize() More...
 
void setSize (const label n, const T &val)
 Alias for resize() More...
 
void append (const T &val)
 Append an element at the end of the list. More...
 
void append (T &&val)
 Move append an element at the end of the list. More...
 
void append (const UList< T > &list)
 Append a List to the end of this list. More...
 
template<class Addr >
void append (const IndirectListBase< T, Addr > &list)
 Append IndirectList contents at the end of this list. More...
 
label appendUniq (const T &val)
 Append an element if not already in the list. More...
 
void transfer (List< T > &list)
 
template<int SizeMin>
void transfer (DynamicList< T, SizeMin > &list)
 
TnewElmt (const label i)
 
void operator= (const UList< T > &a)
 Assignment to UList operator. Takes linear time. More...
 
void operator= (const List< T > &list)
 Assignment operator. Takes linear time. More...
 
void operator= (const SLList< T > &list)
 Assignment to SLList operator. Takes linear time. More...
 
template<class Addr >
void operator= (const IndirectListBase< T, Addr > &list)
 Assignment from IndirectList. Takes linear time. More...
 
template<unsigned N>
void operator= (const FixedList< T, N > &list)
 Copy assignment from FixedList. More...
 
void operator= (std::initializer_list< T > list)
 Assignment to an initializer list. More...
 
void operator= (const T &val)
 Assignment of all entries to the given value. More...
 
void operator= (const Foam::zero)
 Assignment of all entries to zero. More...
 
void operator= (List< T > &&list)
 Move assignment. Takes constant time. More...
 
template<int SizeMin>
void operator= (DynamicList< T, SizeMin > &&list)
 Move assignment. Takes constant time. More...
 
void operator= (SLList< T > &&list)
 Move assignment. Takes constant time. More...
 
IstreamreadList (Istream &is)
 Read List from Istream, discarding contents of existing List. More...
 
void shallowCopy (const UList< T > &)=delete
 No shallowCopy permitted. More...
 
template<class TypeT = T>
std::enable_if< std::is_same< bool, TypeT >::value, bool >::type set (const label i, bool val=true)
 A bitSet::set() method for a list of bool. More...
 
IstreamreadList (Istream &is)
 
void resize (const label newLen)
 
IstreamreadList (Istream &is)
 
- Public Member Functions inherited from UList< T >
 UList (const UList< T > &)=default
 Copy construct. More...
 
constexpr UList () noexcept
 Default construct, zero-sized and nullptr. More...
 
 UList (T *__restrict__ v, const label len) noexcept
 Construct from components. More...
 
label fcIndex (const label i) const noexcept
 
label rcIndex (const label i) const noexcept
 
const TfcValue (const label i) const
 Return forward circular value (ie, next value in the list) More...
 
TfcValue (const label i)
 Return forward circular value (ie, next value in the list) More...
 
const TrcValue (const label i) const
 Return reverse circular value (ie, previous value in the list) More...
 
TrcValue (const label i)
 Return reverse circular value (ie, previous value in the list) More...
 
const Tcdata () const noexcept
 Return pointer to the underlying array serving as data storage. More...
 
Tdata () noexcept
 Return pointer to the underlying array serving as data storage. More...
 
const char * cdata_bytes () const noexcept
 Return pointer to the underlying array serving as data storage,. More...
 
char * data_bytes () noexcept
 Return pointer to the underlying array serving as data storage,. More...
 
Tfirst ()
 Return the first element of the list. More...
 
const Tfirst () const
 Return first element of the list. More...
 
Tlast ()
 Return the last element of the list. More...
 
const Tlast () const
 Return the last element of the list. More...
 
std::streamsize size_bytes () const noexcept
 Number of contiguous bytes for the List data. More...
 
std::streamsize byteSize () const
 
void checkStart (const label start) const
 Check start is within valid range [0,size) More...
 
void checkSize (const label size) const
 Check size is within valid range [0,size]. More...
 
void checkRange (const label start, const label len) const
 Check that start and length define a valid range. More...
 
void checkIndex (const label i) const
 Check index is within valid range [0,size) More...
 
bool uniform () const
 True if all entries have identical values, and list is non-empty. More...
 
label find (const T &val, label pos=0) const
 Find index of the first occurrence of the value. More...
 
label rfind (const T &val, label pos=-1) const
 Find index of the last occurrence of the value. More...
 
bool found (const T &val, label pos=0) const
 True if the value if found in the list. More...
 
void moveFirst (const label i)
 Move element to the first position. More...
 
void moveLast (const label i)
 Move element to the last position. More...
 
void swapFirst (const label i)
 Swap element with the first element. Fatal on an empty list. More...
 
void swapLast (const label i)
 Swap element with the last element. Fatal on an empty list. More...
 
void shallowCopy (const UList< T > &list)
 Copy the pointer and size held by the given UList. More...
 
void deepCopy (const UList< T > &list)
 Copy elements of the given UList. Sizes must match! More...
 
template<class Addr >
void deepCopy (const IndirectListBase< T, Addr > &list)
 Copy elements of the given indirect list. Sizes must match! More...
 
SubList< Tslice (const label pos, label len=-1)
 Return SubList slice (non-const access) - no range checking. More...
 
const SubList< Tslice (const label pos, label len=-1) const
 Return SubList slice (const access) - no range checking. More...
 
SubList< Tslice (const labelRange &range)
 Return SubList slice (non-const access) - with range checking. More...
 
const SubList< Tslice (const labelRange &range) const
 Return SubList slice (const access) - with range checking. More...
 
Toperator[] (const label i)
 Return element of UList. More...
 
const Toperator[] (const label i) const
 Return element of constant UList. More...
 
 operator const Foam::List< T > & () const
 Allow cast to a const List<T>&. More...
 
void operator= (const T &val)
 Assignment of all entries to the given value. More...
 
void operator= (const Foam::zero)
 Assignment of all entries to zero. More...
 
iterator begin () noexcept
 Return an iterator to begin traversing the UList. More...
 
iterator end () noexcept
 Return an iterator to end traversing the UList. More...
 
const_iterator cbegin () const noexcept
 Return const_iterator to begin traversing the constant UList. More...
 
const_iterator cend () const noexcept
 Return const_iterator to end traversing the constant UList. More...
 
const_iterator begin () const noexcept
 Return const_iterator to begin traversing the constant UList. More...
 
const_iterator end () const noexcept
 Return const_iterator to end traversing the constant UList. More...
 
reverse_iterator rbegin ()
 Return reverse_iterator to begin reverse traversing the UList. More...
 
reverse_iterator rend ()
 Return reverse_iterator to end reverse traversing the UList. More...
 
const_reverse_iterator crbegin () const
 Return const_reverse_iterator to begin reverse traversing the UList. More...
 
const_reverse_iterator crend () const
 Return const_reverse_iterator to end reverse traversing the UList. More...
 
const_reverse_iterator rbegin () const
 Return const_reverse_iterator to begin reverse traversing the UList. More...
 
const_reverse_iterator rend () const
 Return const_reverse_iterator to end reverse traversing the UList. More...
 
label size () const noexcept
 The number of elements in the UList. More...
 
bool empty () const noexcept
 True if the UList is empty (ie, size() is zero) More...
 
void swap (UList< T > &list)
 Swap content with another UList of the same type in constant time. More...
 
bool operator== (const UList< T > &a) const
 Equality operation on ULists of the same type. More...
 
bool operator!= (const UList< T > &a) const
 The opposite of the equality operation. Takes linear time. More...
 
bool operator< (const UList< T > &list) const
 Compare two ULists lexicographically. Takes linear time. More...
 
bool operator> (const UList< T > &a) const
 Compare two ULists lexicographically. Takes linear time. More...
 
bool operator<= (const UList< T > &a) const
 Return true if !(a > b). Takes linear time. More...
 
bool operator>= (const UList< T > &a) const
 Return true if !(a < b). Takes linear time. More...
 
IstreamreadList (Istream &is)
 Read List contents from Istream. More...
 
void writeEntry (const word &keyword, Ostream &os) const
 Write the List as a dictionary entry with keyword. More...
 
OstreamwriteList (Ostream &os, const label shortLen=0) const
 Write List, with line-breaks in ASCII when length exceeds shortLen. More...
 
template<class TypeT = T>
std::enable_if< std::is_same< bool, TypeT >::value, bool >::type test (const label i) const
 
template<class TypeT = T>
std::enable_if< std::is_same< bool, TypeT >::value, bool >::type get (const label i) const
 
template<class TypeT = T>
std::enable_if< std::is_same< bool, TypeT >::value, bool >::type unset (const label i)
 
IstreamreadList (Istream &is)
 
OstreamwriteList (Ostream &os, const label) const
 
const booloperator[] (const label i) const
 
Foam::UPstream::commsStructoperator[] (const label procID)
 
const Foam::UPstream::commsStructoperator[] (const label procID) const
 
UPstream::commsStructoperator[] (const label procID)
 
const UPstream::commsStructoperator[] (const label procID) const
 
OstreamwriteList (Ostream &os, const label) const
 
IstreamreadList (Istream &is)
 

Additional Inherited Members

- Public Types inherited from Field< vector >
typedef pTraits< vector >::cmptType cmptType
 Component type. More...
 
typedef SubField< vectorsubField
 Declare type of subField. More...
 
- Public Types inherited from List< T >
typedef SubList< TsubList
 Declare type of subList. More...
 
- Public Types inherited from UList< T >
typedef T value_type
 The value type the list contains. More...
 
typedef Tpointer
 The pointer type for non-const access to value_type items. More...
 
typedef const Tconst_pointer
 The pointer type for const access to value_type items. More...
 
typedef Treference
 The type used for storing into value_type objects. More...
 
typedef const Tconst_reference
 The type used for reading from constant value_type objects. More...
 
typedef Titerator
 Random access iterator for traversing a UList. More...
 
typedef const Tconst_iterator
 Random access iterator for traversing a UList. More...
 
typedef label size_type
 The type to represent the size of a UList. More...
 
typedef label difference_type
 The difference between iterator objects. More...
 
typedef std::reverse_iterator< iteratorreverse_iterator
 Reverse iterator (non-const access) More...
 
typedef std::reverse_iterator< const_iteratorconst_reverse_iterator
 Reverse iterator (const access) More...
 
- Static Public Member Functions inherited from Field< vector >
static const Field< vector > & null ()
 Return nullObject reference Field. More...
 
static autoPtr< Field< vector > > New (Istream &is)
 Return a pointer to a new Field created on freestore. More...
 
static tmp< Field< vector > > NewCalculatedType (const Field< Type2 > &f)
 
- Static Public Member Functions inherited from List< T >
static const List< T > & null ()
 Return a null List. More...
 
- Static Public Member Functions inherited from UList< T >
static const UList< T > & null ()
 Return a UList reference to a nullObject. More...
 
static constexpr label max_size () noexcept
 The size of the largest possible UList. More...
 
- Static Public Attributes inherited from FieldBase
static const char *const typeName
 Typename for Field. More...
 
static bool allowConstructFromLargerSize = false
 Permit read construct from a larger size. More...
 
- Protected Member Functions inherited from UList< T >
void setAddressableSize (const label n) noexcept
 Set addressed size to be inconsistent with allocated storage. More...
 
void size (const label n)
 Older name for setAddressableSize. More...
 
void writeEntry (Ostream &os) const
 Write the UList with its compound type. More...
 
labelRange validateRange (const labelRange &requestedRange) const
 
UList< T > & operator= (const UList< T > &)=delete
 No copy assignment (default: shallow copy) More...
 
void writeEntry (Ostream &os) const
 
void writeEntry (Ostream &os) const
 

Detailed Description

A NURBS 3D curve.

Source files

Definition at line 55 of file NURBS3DCurve.H.

Constructor & Destructor Documentation

◆ NURBS3DCurve() [1/4]

NURBS3DCurve ( const NURBSbasis basis,
const List< vector > &  CPs,
const List< scalar > &  weights,
const scalarField u,
const label  nPts,
const word  name = "NURBS3DCurve" 
)

Construct from control points, weights and basis order and parametric coordinates

Definition at line 209 of file NURBS3DCurve.C.

References NURBS3DCurve::buildCurve().

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◆ NURBS3DCurve() [2/4]

NURBS3DCurve ( const NURBSbasis basis,
const List< vector > &  CPs,
const List< scalar > &  weights,
const label  nPts,
const word  name = "NURBS3DCurve" 
)

Construct from control points, weights and basis order.

Uniform coordinate distribution is implied

Definition at line 235 of file NURBS3DCurve.C.

References NURBS3DCurve::buildCurve().

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◆ NURBS3DCurve() [3/4]

NURBS3DCurve ( const NURBSbasis basis,
const List< vector > &  CPs,
const label  nPts,
const word  name = "NURBS3DCurve" 
)

Construct from control points and basis order.

Uniform coordinate distribution and unit weights are implied

Definition at line 261 of file NURBS3DCurve.C.

References NURBS3DCurve::buildCurve().

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◆ NURBS3DCurve() [4/4]

NURBS3DCurve ( const NURBS3DCurve )

Construct as copy.

◆ ~NURBS3DCurve()

~NURBS3DCurve ( )
default

Destructor.

Member Function Documentation

◆ setNrm3DOrientation()

void setNrm3DOrientation ( const vector givenNrm,
const vector givenTan 
)

Take a given normal and use to determine if NURBS normals should be reversed. Computation taken from u = 0.

Definition at line 290 of file NURBS3DCurve.C.

References NURBS3DCurve::curveDerivativeU(), Foam::endl(), Foam::Info, Foam::tan(), and Foam::Zero.

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◆ setNrm2DOrientation()

void setNrm2DOrientation ( const vector givenNrm,
const scalar  zVal 
)

Definition at line 316 of file NURBS3DCurve.C.

References NURBS3DCurve::curveDerivativeU(), Foam::endl(), Foam::Info, Foam::tan(), Vector< Cmpt >::x(), Vector< Cmpt >::y(), Vector< Cmpt >::z(), and Foam::Zero.

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◆ flipNrmOrientation()

void flipNrmOrientation ( )

Flip the orientation of the nrm.

Definition at line 346 of file NURBS3DCurve.C.

◆ setCPs()

void setCPs ( const List< vector > &  CPs)

Set CPs.

Definition at line 359 of file NURBS3DCurve.C.

◆ setWeights()

void setWeights ( const List< scalar > &  weights)

Set weights.

Definition at line 365 of file NURBS3DCurve.C.

◆ setName()

void setName ( const word name)

Set name.

Definition at line 371 of file NURBS3DCurve.C.

References Foam::name().

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◆ buildCurve()

void buildCurve ( )

Build curve.

Definition at line 377 of file NURBS3DCurve.C.

References NURBSbasis::basisValue(), NURBSbasis::degree(), forAll, UList< T >::operator[](), and Foam::Zero.

Referenced by NURBS3DCurve::insertKnot(), NURBS3DCurve::invert(), NURBS3DCurve::makeEquidistant(), and NURBS3DCurve::NURBS3DCurve().

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◆ invert()

void invert ( )

Invert CPs order and re-build curve.

Definition at line 408 of file NURBS3DCurve.C.

References NURBS3DCurve::buildCurve(), Foam::endl(), Foam::Info, UList< T >::size(), and Foam::Zero.

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◆ insertKnot()

void insertKnot ( const scalarField oldKnots,
const scalar  uBar,
const label  kInsert 
)

Insert a knot by re-computing the control points.

The basis' insertKnot function must have beem called first to correctly provide the required info.

Definition at line 645 of file NURBS3DCurve.C.

References NURBS3DCurve::buildCurve(), NURBSbasis::degree(), NURBSbasis::nCPs(), UList< T >::size(), 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 
)

Make curve points equidistant in cartesian space.

Definition at line 429 of file NURBS3DCurve.C.

References NURBS3DCurve::buildCurve().

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◆ curvePoint()

vector curvePoint ( const scalar  u) const

Curve point cartesian coordinates at ui.

Definition at line 457 of file NURBS3DCurve.C.

References NURBSbasis::basisValue(), NURBSbasis::degree(), forAll, and Foam::Zero.

Referenced by NURBS3DCurve::findClosestCurvePoint().

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◆ findClosestCurvePoint() [1/2]

scalar findClosestCurvePoint ( const vector targetPoint,
const label  maxIter = 1000,
const scalar  tolerance = 1.e-13 
)

Find curve point which is closest to given point using Newton-Raphson. Returns the param coordinate.

Definition at line 483 of file NURBS3DCurve.C.

References NURBS3DCurve::curveDerivativeU(), NURBS3DCurve::curveDerivativeUU(), NURBS3DCurve::curvePoint(), Foam::endl(), forAll, Foam::mag(), UList< T >::size(), and WarningInFunction.

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◆ findClosestCurvePoint() [2/2]

scalar findClosestCurvePoint ( const vector targetPoint,
const scalar  initGuess,
const label  maxIter = 1000,
const scalar  tolerance = 1.e-13 
)

Find curve point which is closest to given point using Newton-Raphson. Returns the param coordinate.

Definition at line 553 of file NURBS3DCurve.C.

References NURBS3DCurve::curveDerivativeU(), NURBS3DCurve::curveDerivativeUU(), NURBS3DCurve::curvePoint(), Foam::endl(), Foam::mag(), and WarningInFunction.

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◆ nrm3D()

const vector nrm3D ( const vector refTan,
const scalar  u 
) const

Find the normal to the curve, with the option of forcing a z-plane.

Definition at line 612 of file NURBS3DCurve.C.

References NURBS3DCurve::curveDerivativeU(), Vector< Cmpt >::normalise(), and Foam::Zero.

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◆ nrm2D()

const vector nrm2D ( const scalar  zVal,
const scalar  u 
) const

Definition at line 631 of file NURBS3DCurve.C.

References NURBS3DCurve::curveDerivativeU(), Foam::mag(), Foam::tan(), Vector< Cmpt >::x(), Vector< Cmpt >::y(), Vector< Cmpt >::z(), and Foam::Zero.

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◆ genEquidistant()

scalarList genEquidistant ( const label  nPts = 100,
const label  lenAcc = 25,
const label  maxIter = 10,
const label  spacingCorrInterval = -1,
const scalar  tolerance = 1.e-5 
)

Generate points on the curve which are evenly spaced in cartesian coordinate distances.

Definition at line 687 of file NURBS3DCurve.C.

References U, and Foam::Zero.

◆ checkRange() [1/2]

bool checkRange ( const scalar  u,
const label  CPI,
const label  degree 
) const

Check if given parametric coordinate u and CP are linked.

Definition at line 718 of file NURBS3DCurve.C.

References NURBSbasis::checkRange().

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◆ checkRange() [2/2]

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

Definition at line 729 of file NURBS3DCurve.C.

References NURBSbasis::checkRange(), and NURBSbasis::degree().

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◆ length() [1/3]

scalar length ( const label  uIStart,
const label  uIEnd 
) const

Calculate Length from starting to ending indices via computational evaluation using trapezoid rule.

Definition at line 736 of file NURBS3DCurve.C.

References NURBS3DCurve::curveDerivativeU(), forAll, NURBS3DCurve::length(), Foam::mag(), and Foam::Zero.

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◆ length() [2/3]

scalar length ( const scalar  uStart,
const scalar  uEnd,
const label  nPts 
) const

Calculate length from starting to ending parametric coordinates via computational evaluation using trapezoid rule.

Definition at line 761 of file NURBS3DCurve.C.

References NURBS3DCurve::curveDerivativeU(), forAll, NURBS3DCurve::length(), Foam::mag(), and Foam::Zero.

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◆ length() [3/3]

scalar length ( ) const

Calculate length for the entire curve length.

Definition at line 792 of file NURBS3DCurve.C.

References NURBS3DCurve::length(), and UList< T >::size().

Referenced by NURBS3DCurve::length().

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◆ curveDerivativeU()

vector curveDerivativeU ( const scalar  u) const

Curve derivative wrt u at point ui.

Definition at line 800 of file NURBS3DCurve.C.

References NURBSbasis::basisDerivativeU(), NURBSbasis::basisValue(), NURBSbasis::degree(), forAll, and Foam::Zero.

Referenced by NURBS3DCurve::findClosestCurvePoint(), NURBS3DCurve::length(), NURBS3DCurve::lengthDerivativeU(), NURBS3DCurve::nrm2D(), NURBS3DCurve::nrm3D(), NURBS3DCurve::setNrm2DOrientation(), and NURBS3DCurve::setNrm3DOrientation().

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◆ curveDerivativeUU()

vector curveDerivativeUU ( const scalar  u) const

Curve second derivative wrt u at point ui.

Definition at line 825 of file NURBS3DCurve.C.

References NURBSbasis::basisDerivativeU(), NURBSbasis::basisDerivativeUU(), NURBSbasis::basisValue(), NURBSbasis::degree(), forAll, and Foam::Zero.

Referenced by NURBS3DCurve::findClosestCurvePoint(), and NURBS3DCurve::lengthDerivativeU().

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◆ curveDerivativeCP()

scalar curveDerivativeCP ( const scalar  u,
const label  CPI 
)

Curve derivative wrt b at point ui: scalar since dx/dX = dy/dY = dz/dZ.

Definition at line 863 of file NURBS3DCurve.C.

References NURBSbasis::basisValue(), NURBSbasis::degree(), forAll, and Foam::Zero.

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◆ curveDerivativeWeight()

vector curveDerivativeWeight ( const scalar  u,
const label  CPI 
)

Curve derivative wrt CPII at point u.

Definition at line 885 of file NURBS3DCurve.C.

References NURBSbasis::basisValue(), NURBSbasis::degree(), forAll, and Foam::Zero.

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◆ lengthDerivativeU()

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

Calculate length from starting to ending indices via computational evaluation using trapezoid rule

Definition at line 911 of file NURBS3DCurve.C.

References NURBS3DCurve::curveDerivativeU(), NURBS3DCurve::curveDerivativeUU(), forAll, Foam::mag(), and Foam::Zero.

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◆ getBasisFunction()

const NURBSbasis & getBasisFunction ( ) const
inline

Get basis function.

Definition at line 325 of file NURBS3DCurve.H.

◆ getCPs()

const List< vector > & getCPs ( ) const
inline

Get CPs.

Definition at line 331 of file NURBS3DCurve.H.

◆ getWeights()

const List< scalar > & getWeights ( ) const
inline

Get weights.

Definition at line 337 of file NURBS3DCurve.H.

◆ getParametricCoordinates()

const List< scalar > & getParametricCoordinates ( ) const
inline

Get parametric coordinates.

Definition at line 343 of file NURBS3DCurve.H.

◆ getName()

const word & getName ( ) const
inline

Get name.

Definition at line 349 of file NURBS3DCurve.H.

Referenced by PBiCGStab::scalarSolve(), PCG::scalarSolve(), PPCG::scalarSolveCG(), and PBiCG::solve().

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◆ nrmOrientation()

label nrmOrientation ( ) const
inline

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

Definition at line 355 of file NURBS3DCurve.H.

◆ givenInitNrm()

const vector & givenInitNrm ( ) const
inline

Return the initial normal given to compare to the Curve's normals.

Definition at line 361 of file NURBS3DCurve.H.

◆ write() [1/3]

void write ( )

Write curve to file.

Definition at line 954 of file NURBS3DCurve.C.

References NURBS3DCurve::write().

Referenced by NURBS3DCurve::write().

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◆ write() [2/3]

void write ( const word  fileName)

Definition at line 960 of file NURBS3DCurve.C.

References NURBSbasis::basisValue(), NURBSbasis::degree(), Foam::endl(), field(), forAll, splitCell::master(), and UList< T >::size().

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◆ write() [3/3]

void write ( const fileName  dirName,
const fileName  fileName 
)

Definition at line 1009 of file NURBS3DCurve.C.

References NURBSbasis::basisValue(), NURBSbasis::degree(), Foam::endl(), field(), forAll, splitCell::master(), and UList< T >::size().

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◆ writeWParses() [1/3]

void writeWParses ( )

Definition at line 1059 of file NURBS3DCurve.C.

References NURBS3DCurve::writeWParses().

Referenced by NURBS3DCurve::writeWParses().

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◆ writeWParses() [2/3]

void writeWParses ( const word  fileName)

Definition at line 1065 of file NURBS3DCurve.C.

References NURBSbasis::basisValue(), NURBSbasis::degree(), Foam::endl(), field(), forAll, splitCell::master(), and UList< T >::size().

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◆ writeWParses() [3/3]

void writeWParses ( const fileName  dirName,
const fileName  fileName 
)

Definition at line 1116 of file NURBS3DCurve.C.

References NURBSbasis::basisValue(), NURBSbasis::degree(), Foam::endl(), field(), forAll, splitCell::master(), and UList< T >::size().

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The documentation for this class was generated from the following files: