Classes | |
class | NAbelianGroup |
Represents a finitely generated abelian group. More... | |
struct | NGroupExpressionTerm |
Represents a power of a generator in a group presentation. More... | |
class | NGroupExpression |
Represents an expression involving generators from a group presentation. More... | |
class | NGroupPresentation |
Represents a finite presentation of a group. More... | |
class | NXMLAbelianGroupReader |
An XML element reader that reads a single abelian group. More... | |
class | NXMLGroupPresentationReader |
An XML element reader that reads a single group presentation. More... | |
class | NAngleStructureVector |
A vector of integers used to indirectly store the individual angles in an angle structure. More... | |
class | NAngleStructure |
Represents an angle structure on a triangulation. More... | |
class | NAngleStructureList |
A packet representing a collection of angle structures on a triangulation. More... | |
class | NXMLAngleStructureReader |
An XML element reader that reads a single angle structure. More... | |
class | NXMLAngleStructureListReader |
An XML packet reader that reads a single angle structure list. More... | |
class | NCensus |
A utility class used to form a complete census of 3-manifold triangulations satisfying certain constraints. More... | |
class | NFacePairing |
Represents a specific pairwise matching of tetrahedron faces. More... | |
class | NGluingPerms |
Represents a specific set of gluing permutations to complement a particular pairwise matching of tetrahedron faces. More... | |
class | NGluingPermSearcher |
A utility class for searching through all possible gluing permutation sets that correspond to a given face pairing. More... | |
class | NClosedPrimeMinSearcher |
A gluing permutation search class that offers a specialised search algorithm for when (i) only closed prime minimal P2-irreducible triangulations are required, and (ii) the given face pairing has order at least three. More... | |
class | NCompConstraint |
Represents an individual compatibility constraint for use with polytope vertex enumeration. More... | |
class | NCompConstraintSet |
Represents a set of compatibility constraints for use with polytope vertex enumeration. More... | |
class | NDoubleDescriptor |
Implements a modified double descriptor method for polytope vertex enumeration. More... | |
class | NVertexEnumerator |
An abstract base class for use with different polytope vertex enumeration algorithms. More... | |
class | NFile |
Represents an old-style binary file containing a packet tree. More... | |
class | NFileInfo |
Stores information about a Regina data file, including file type and version. More... | |
class | NFilePropertyReader |
Assists with reading individual object properties from old-style binary data files. More... | |
class | NRandomAccessResource |
Provides a standard random access interface for old-style binary file-like resources. More... | |
class | NLocalFileResource |
A random access resource that is simply a local file. More... | |
class | NXMLCallback |
Provides the callbacks for an XMLParser required to parse an entire file using a series of NXMLElementReader objects. More... | |
class | NXMLElementReader |
Used to read the contents of a single XML element. More... | |
class | NXMLCharsReader |
A reader for an XML element that contains only characters. More... | |
class | NGraphLoop |
Represents a closed graph manifold formed by joining a single bounded Seifert fibred space to itself along a torus. More... | |
class | NGraphPair |
Represents a closed graph manifold formed by joining two bounded Seifert fibred spaces along a common torus. More... | |
class | NGraphTriple |
Represents a closed graph manifold formed by joining three bounded Seifert fibred spaces along their torus boundaries. More... | |
class | NHandlebody |
Represents an arbitrary handlebody. More... | |
class | NLensSpace |
Represents a general Lens space. More... | |
class | NManifold |
Represents a particular 3-manifold. More... | |
struct | NSFSFibre |
Represents an exceptional (alpha, beta) fibre in a Seifert fibred space. More... | |
class | NSFSpace |
Represents a general Seifert fibred space, which may be orientable or non-orientable. More... | |
class | NSFSAltSet |
Provides a variety of alternative representations of a single bounded Seifert fibred space. More... | |
class | NSimpleSurfaceBundle |
Represents a particularly simple closed surface bundle over the circle. More... | |
class | NSnapPeaCensusManifold |
Represents a 3-manifold from the SnapPea cusped census. More... | |
class | NTorusBundle |
Represents a torus bundle over the circle. More... | |
class | NMatrix |
Represents a matrix of elements of the given type T. More... | |
class | NMatrixRing |
Represents a matrix of elements from a given ring T. More... | |
class | NMatrixField |
Represents a matrix of elements from a given field T. More... | |
class | NMatrixInt |
Represents a matrix of arbitrary precision integers. More... | |
class | NRay |
Represents a ray rooted at the origin whose coordinates are rational. More... | |
class | NVector |
A vector of elements from a given ring T. More... | |
class | NVectorDense |
A dense vector of objects of type T. More... | |
class | NVectorMatrix_Illegal_Modification |
An exception thrown when a matrix row or column vector is modified. More... | |
class | NVectorMatrix |
A vector that corresponds to a row or column of a matrix. More... | |
class | NVectorMatrixRow |
A vector that corresponds to a row of a matrix. More... | |
class | NVectorMatrixCol |
A vector that corresponds to a column of a matrix. More... | |
class | NVectorUnit_Illegal_Modification |
An exception thrown when a unit vector is modified. More... | |
class | NVectorUnit |
A unit vector of type T. More... | |
class | NContainer |
A packet that simply contains other packets. More... | |
class | NPacket |
Represents a packet of information that may be individually edited or operated upon. More... | |
class | NPacketListener |
An object that can be registered to listen for packet events. More... | |
class | NScript |
A packet representing a script that can be run. More... | |
class | NText |
A packet representing a text string. More... | |
class | NXMLPacketReader |
An XML element reader that reads the data for an individual packet. More... | |
class | NXMLContainerReader |
An XML packet reader that reads a single container. More... | |
class | NXMLScriptReader |
An XML packet reader that reads a single script. More... | |
class | NXMLTextReader |
An XML packet reader that reads a single text packet. More... | |
class | NProgress |
An object through which external interfaces can obtain progress reports when running long calculations. More... | |
class | NProgressFinished |
A progress report that immediately claims it is finished. More... | |
class | NProgressManager |
Manages the sharing of an NProgress object between reading and writing threads. More... | |
class | NProgressMessage |
A progress report in which the current state of progress is stored as a string message. More... | |
struct | NProgressStateNumeric |
A simple structure used for passing around a numeric state of progress. More... | |
class | NProgressNumber |
A progress report in which the current state of progress is stored as a number of items completed. More... | |
class | ShareableObject |
Facilitates mirroring objects in the underlying C++ calculation engine using the various wrapper classes provided in the various external interfaces (such as the Python interface). More... | |
class | NSnapPeaTriangulation |
Offers direct access to the SnapPea kernel from within Regina. More... | |
class | NSigCensus |
A utility class used by formSigCensus(). More... | |
class | NSigPartialIsomorphism |
Represents a partial isomorphism between two splitting surface signatures. More... | |
class | NSignature |
Represents a signature of a splitting surface in a closed 3-manifold triangulation. More... | |
class | NAugTriSolidTorus |
Represents an augmented triangular solid torus component of a triangulation. More... | |
class | NBlockedSFS |
Represents a blocked Seifert fibred space. More... | |
class | NBlockedSFSLoop |
Represents a blocked Seifert fibred space with two boundary tori that are joined together. More... | |
class | NBlockedSFSPair |
Represents a blocked pair of Seifert fibred spaces joined along a single connecting torus. More... | |
class | NBlockedSFSTriple |
Represents a blocked sequence of three Seifert fibred spaces joined along connecting tori. More... | |
class | NL31Pillow |
Represents a triangular pillow L(3,1) component of a triangulation. More... | |
class | NLayeredChain |
Represents a layered chain in a triangulation. More... | |
class | NLayeredChainPair |
Represents a layered chain pair component of a triangulation. More... | |
class | NLayeredLensSpace |
Represents a layered lens space component of a triangulation. More... | |
class | NLayeredLoop |
Represents a layered loop component of a triangulation. More... | |
class | NLayeredSolidTorus |
Represents a layered solid torus in a triangulation. More... | |
class | NLayeredTorusBundle |
Describes a layered torus bundle. More... | |
class | NLayering |
Represents a layering of zero or more tetrahedra upon a torus boundary. More... | |
class | NPillowTwoSphere |
Represents a 2-sphere made from two faces glued together along their three edges. More... | |
class | NPluggedTorusBundle |
Describes a triangulation of a graph manifold formed by joining a bounded saturated region with a thin I-bundle over the torus, possibly with layerings in between. More... | |
class | NPlugTriSolidTorus |
Represents a plugged triangular solid torus component of a triangulation. More... | |
struct | NSatAnnulus |
Represents an annulus formed from a pair of faces in a Seifert fibred space. More... | |
class | NSatBlock |
Represents a saturated block in a Seifert fibred space. More... | |
class | NSatBlockStarter |
Contains a triangulation of a saturated block along with the accompanying saturated block description. More... | |
class | NSatBlockStarterSet |
Represents a set of starter blocks that can be used for identifying triangulations of Seifert fibred spaces. More... | |
class | NSatBlockStarterSearcher |
A helper class for locating and using starter blocks within a triangulation. More... | |
class | NSatMobius |
A degenerate zero-tetrahedron saturated block that corresponds to attaching a Mobius band to a single annulus boundary. More... | |
class | NSatLST |
A saturated block that is a layered solid torus. More... | |
class | NSatTriPrism |
A saturated block that is a three-tetrahedron triangular prism. More... | |
class | NSatCube |
A saturated block that is a six-tetrahedron cube. More... | |
class | NSatReflectorStrip |
A saturated block that is a reflector strip. More... | |
class | NSatLayering |
A degenerate saturated block that is a single tetrahedron wrapped around so that two opposite edges touch. More... | |
struct | NSatBlockSpec |
Describes how a single saturated block forms a part of a larger saturated region. More... | |
class | NSatRegion |
A large saturated region in a Seifert fibred space formed by joining together saturated blocks. More... | |
class | NSnapPeaCensusTri |
Represents a 3-manifold triangulation from the SnapPea cusped census. More... | |
class | NSnappedBall |
Represents a snapped 3-ball in a triangulation. More... | |
class | NSnappedTwoSphere |
Represents a 2-sphere made from two snapped 3-balls in a triangulation. More... | |
class | NSpiralSolidTorus |
Represents a spiralled solid torus in a triangulation. More... | |
class | NStandardTriangulation |
Describes a triangulation or subcomplex of a triangulation whose structure is well-understood. More... | |
class | NTriSolidTorus |
Represents a three-tetrahedron triangular solid torus in a triangulation. More... | |
class | NTrivialTri |
Represents one of a few particular trivial triangulations that do not belong to any of the other larger families. More... | |
class | NTxICore |
Provides a triangulation of the product T x I (the product of the torus and the interval). More... | |
class | NTxIDiagonalCore |
One of a family of thin T x I triangulations that typically appear at the centres of layered torus bundles. More... | |
class | NTxIParallelCore |
A specific six-tetrahedron NTxICore triangulation that does not fit neatly into other families. More... | |
struct | NDiscSpec |
Specifies a single normal disc in a normal surface. More... | |
class | NDiscSetTet |
Represents a set of normal discs inside a single tetrahedron. More... | |
class | NDiscSetTetData |
Stores data of type T for every normal disc inside a single tetrahedron. More... | |
class | NDiscSetSurface |
Represents the set of all normal discs forming a normal surface. More... | |
class | NDiscSetSurfaceData |
Stores data of type T for every normal disc within a particular normal surface. More... | |
class | NDiscSpecIterator |
An iterator used for running through all normal discs in a normal surface. More... | |
class | NNormalSurfaceVector |
Stores the vector of a single normal surface in a 3-manifold. More... | |
class | NNormalSurface |
Represents a single normal surface in a 3-manifold. More... | |
class | NNormalSurfaceList |
A packet representing a collection of normal surfaces in a 3-manifold. More... | |
struct | NPrismSpec |
Specifies a single triangular prism in a tetrahedron. More... | |
class | NPrismSetSurface |
Represents the set of prisms defined by slicing along all the quads in a particular normal surface. More... | |
class | NNormalSurfaceVectorANStandard |
An almost normal surface vector using standard triangle-quad-oct coordinates. More... | |
class | NNormalSurfaceVectorMirrored |
A normal surface vector that is mirrored in another coordinate system to avoid frequent lengthy calculations. More... | |
class | NNormalSurfaceVectorQuad |
A normal surface vector using quad coordinates. More... | |
class | NNormalSurfaceVectorStandard |
A normal surface vector using standard triangle-quad coordinates. More... | |
class | NSurfaceFilter |
A packet that accepts or rejects normal surfaces. More... | |
class | NSurfaceSet |
Represents a collection of normal surfaces in a 3-manifold. More... | |
class | NSurfaceSubset |
Represents a subset of a normal surface set. More... | |
class | NXMLFilterReader |
An XML element reader that reads the specific details of a normal surface filter. More... | |
class | NXMLFilterPacketReader |
An XML packet reader that reads a single surface filter. More... | |
class | NXMLNormalSurfaceReader |
An XML element reader that reads a single normal surface. More... | |
class | NXMLNormalSurfaceListReader |
An XML packet reader that reads a single normal surface list. More... | |
class | NSurfaceFilterCombination |
A normal surface filter that simply combines other filters. More... | |
class | NSurfaceFilterProperties |
A normal surface filter that filters by basic properties of the normal surface. More... | |
class | NBoundaryComponent |
Represents a component of the boundary of a triangulation. More... | |
class | NComponent |
Represents a component of a triangulation. More... | |
class | NEdgeEmbedding |
Details how an edge in the skeleton forms part of an individual tetrahedron. More... | |
class | NEdge |
Represents an edge in the skeleton of a triangulation. More... | |
class | NExampleTriangulation |
This class offers routines for constructing sample triangulations of various types. More... | |
class | NFaceEmbedding |
Details how a face in the skeleton forms part of an individual tetrahedron. More... | |
class | NFace |
Represents a face in the skeleton of a triangulation. More... | |
class | NFacePair |
Represents a pair of tetrahedron face numbers. More... | |
class | NIsomorphism |
Represents a combinatorial isomorphism from one triangulation into another. More... | |
class | NIsomorphismDirect |
An isomorphism in which face permutations are stored directly. More... | |
class | NIsomorphismIndexed |
An isomorphism in which face permutations are stored as indices into the allPermsS4 array. More... | |
class | NPerm |
Represents a permutation of {0,1,2,3}. More... | |
class | NPermItS4 |
An iterator class that runs through all 24 permutations of four elements. More... | |
struct | NTetFace |
A lightweight class used to refer to a particular face of a particular tetrahedron. More... | |
class | NTetrahedron |
Represents a tetrahedron in a triangulation. More... | |
class | NTriangulation |
Stores the triangulation of a 3-manifold along with its various cellular structures and other information. More... | |
class | NVertexEmbedding |
Details how a vertex in the skeleton forms part of an individual tetrahedron. More... | |
class | NVertex |
Represents a vertex in the skeleton of a triangulation. More... | |
class | NXMLTriangulationReader |
An XML packet reader that reads a single triangulation. More... | |
struct | HashPointer |
A hash function used to calculate hash values for arbitrary pointers. More... | |
struct | HashString |
A hash function used to calculate hash values for C++ strings. More... | |
struct | FuncNew |
An adaptable generator used to create objects using default constructors. More... | |
struct | FuncNewCopyPtr |
An adaptable unary function used to create objects using copy constructors. More... | |
struct | FuncNewCopyRef |
An adaptable unary function used to create objects using copy constructors. More... | |
struct | FuncNewClonePtr |
An adaptable unary function used to create objects using the clone() method. More... | |
struct | FuncDelete |
An adaptable unary function used to deallocate objects. More... | |
class | NTriBool |
A three-way extension of the boolean type. More... | |
class | NTriBool_Illegal_Integer_Conversion |
An exception thrown when an illegal integer conversion is attempted with NTriBool. More... | |
class | NBoolSet |
A set of booleans. More... | |
class | NIndexedArray |
A dynamically resizable array of objects of type T with fast random access and fast object-to-index lookup. More... | |
class | NListOnCall |
Offers a hard-coded list of expensive objects that should only be created if they are required. More... | |
class | NMatrix2 |
Represents a 2-by-2 integer matrix. More... | |
class | NLargeInteger |
Represents an arbitrary precision integer. More... | |
class | StoreValue |
An NProperty storage policy indicating that the property should be held by value. More... | |
class | StoreConstPtr |
An NProperty storage policy indicating that the property should be held by constant pointer. More... | |
class | StoreManagedPtr |
An NProperty storage policy indicating that the property should be held by pointer and that the property wrapper will also take responsibility for memory management. More... | |
class | NPropertyBase |
A base class that provides routines shared by all properties, regardless of their individual NProperty template parameters. More... | |
class | NProperty |
Stores a calculable property of an object. More... | |
class | NRational |
Represents an arbitrary precision rational number. More... | |
class | NMutex |
A mutual exclusion device (mutex) used to ensure that different threads do not interfere when working with the same data. More... | |
class | NThread |
Provides very basic thread handling. More... | |
class | LessDeref |
An adaptable binary function used to compare the objects to which pointers are pointing. More... | |
class | ZBuffer |
A common base class for compression/decompression stream buffers. More... | |
class | CompressionBuffer |
An output stream buffer that compresses data as it is written. More... | |
class | DecompressionBuffer |
An input stream buffer that decompresses data as it is read. More... | |
class | CompressionStream |
An output stream that compresses data as it is written. More... | |
class | DecompressionStream |
An input stream that decompresses data as it is read. More... | |
Namespaces | |
namespace | boost |
Miscellaneous utility classes taken or modified from the Boost C++ libraries. | |
namespace | python |
Utility classes and routines to assist with Python bindings for the calculation engine. | |
namespace | stl |
Miscellaneous utility classes and routines taken or modified from the Standard Template Library. | |
namespace | xml |
Various classes and routines for XML manipulation, some taken or modified from the libxml++ library. | |
Typedefs | |
typedef bool(*) | AcceptTriangulation (NTriangulation *, void *) |
A routine used to determine whether a particular triangulation should be included in a census. | |
typedef std::list< NIsomorphismDirect * > | NFacePairingIsoList |
A list of isomorphisms on pairwise matchings of tetrahedron faces. | |
typedef void(*) | UseFacePairing (const NFacePairing *, const NFacePairingIsoList *, void *) |
A routine used to do arbitrary processing upon a pairwise matching of tetrahedron faces and its automorphisms. | |
typedef void(*) | UseGluingPerms (const NGluingPermSearcher *, void *) |
A routine used to do arbitrary processing upon a particular set of gluing permutations. | |
typedef std::list< NSigPartialIsomorphism * > | NSigIsoList |
A list of partial isomorphisms on splitting surface signatures. | |
typedef void(*) | UseSignature (const NSignature &, const NSigIsoList &, void *) |
A routine used to do arbitrary processing upon a splitting surface signature and its automorphisms. | |
typedef pthread_t | NThreadID |
The type used for a thread identifier. | |
Functions | |
std::ostream & | operator<< (std::ostream &out, const NGroupExpressionTerm &term) |
Writes the given term to the given output stream. | |
const char * | getVersionString () |
Returns the full version number of this calculation engine. | |
int | getVersionMajor () |
Returns the major version number of this calculation engine. | |
int | getVersionMinor () |
Returns the minor version number of this calculation engine. | |
int | testEngine (int value) |
Tests to see if an interface can successfully communicate with the underlying C++ calculation engine. | |
NPacket * | readFromFile (const char *fileName) |
Reads a packet tree from the given old-style binary file doing everything in a single step. | |
bool | writeToFile (const char *fileName, NPacket *packet) |
Writes the given packet tree to the given old-style binary file doing everything in a single step. | |
bool | writeXMLFile (const char *fileName, NPacket *subtree, bool compressed=true) |
Writes the subtree with the given packet as matriarch to disk as a complete XML file. | |
NPacket * | readXMLFile (const char *fileName) |
Reads the packet tree stored in the given XML file. | |
NPacket * | readFileMagic (const std::string &fileName) |
Reads a packet tree from a file whose format is unknown. | |
NContainer * | readDehydrationList (const char *filename, unsigned colDehydrations=0, int colLabels=-1, unsigned long ignoreLines=0) |
Reads a list of dehydrated triangulations from the given text file. | |
NTriangulation * | readOrb (const char *filename) |
Reads a triangulation from the given Orb / Casson file. | |
NTriangulation * | readSnapPea (const char *filename) |
Reads a triangulation from the given SnapPea file. | |
bool | writeSnapPea (const char *filename, NTriangulation &tri) |
Writes the given triangulation to the given file in SnapPea format. | |
std::string | stringToToken (const char *str) |
Returns a token derived from the given string. | |
std::string | stringToToken (const std::string &str) |
Returns a token derived from the given string. | |
std::ostream & | operator<< (std::ostream &out, const NSFSFibre &f) |
Writes the given fibre in human-readable format to the given output stream. | |
template<class R> | |
bool | isZero (R x) |
Determines whether the given real number is zero. | |
template<class R> | |
bool | isNonZero (R x) |
Determines whether the given real number is non-zero. | |
template<class R> | |
bool | isPositive (R x) |
Determines whether the given real number is strictly positive. | |
template<class R> | |
bool | isNegative (R x) |
Determines whether the given real number is strictly negative. | |
template<class R> | |
bool | isNonNegative (R x) |
Determines whether the given real number is non-negative. | |
template<class R> | |
bool | isNonPositive (R x) |
Determines whether the given real number is non-positive. | |
void | smithNormalForm (NMatrixInt &matrix) |
Transforms the given integer matrix into Smith normal form. | |
NRay * | intersect (const NRay &pos, const NRay &neg, const NVector< NLargeInteger > &hyperplane) |
Returns a newly allocated ray representing the intersection of the hyperplane joining two given rays with the given additional hyperplane. | |
long | reducedMod (long k, long modBase) |
Reduces k modulo modBase to give the smallest possible absolute value. | |
unsigned long | gcd (unsigned long a, unsigned long b) |
Calculates the greatest common divisor of two given integers. | |
long | gcdWithCoeffs (long a, long b, long &u, long &v) |
Calculates the greatest common divisor of two given integers and finds the smallest coefficients with which these integers combine to give their gcd. | |
unsigned long | modularInverse (unsigned long n, unsigned long k) |
Calculates the multiplicative inverse of one integer modulo another. | |
void | factorise (unsigned long n, std::list< unsigned long > &factors) |
Calculates the prime factorisation of the given integer. | |
void | primesUpTo (const NLargeInteger &roof, std::list< NLargeInteger > &primes) |
Determines all primes up to and including the given upper bound. | |
template<class T> | |
std::ostream & | operator<< (std::ostream &out, const NVector< T > &vector) |
Writes the given vector to the given output stream. | |
unsigned long | formSigCensus (unsigned order, UseSignature use, void *useArgs=0) |
Forms a census of all splitting surface signatures of the given order. | |
std::ostream & | operator<< (std::ostream &out, const NDiscSpec &spec) |
Writes the given disc specifier to the given output stream. | |
bool | numberDiscsAwayFromVertex (int discType, int vertex) |
Determines whether or not normal discs of the given type are numbered away from the given vertex. | |
bool | discOrientationFollowsEdge (int discType, int vertex, int edgeStart, int edgeEnd) |
Determines whether or not the natural boundary orientation of a normal disc of the given type follows the given directed normal arc. | |
template<class RayOutputIterator, class FaceOutputIterator> | |
void | createNonNegativeCone (NTriangulation *triangulation, int flavour, RayOutputIterator rays, FaceOutputIterator faces) |
Writes to the given output iterators newly allocated rays and faces representing the cone in the given flavour of coordinate system obtained by setting all coordinates non-negative. | |
NMatrixInt * | makeMatchingEquations (NTriangulation *triangulation, int flavour) |
Creates a new set of normal surface matching equations for the given triangulation using the given flavour of coordinate system. | |
std::ostream & | operator<< (std::ostream &out, const NPrismSpec &spec) |
Writes the given prism specifier to the given output stream. | |
std::ostream & | operator<< (std::ostream &out, const NPerm &p) |
Writes a string representation of the given permutation to the given output stream. | |
NPerm | faceOrdering (int face) |
Returns a permutation mapping (0,1,2) to the vertices of the given tetrahedron face in their canonical order. | |
NPerm | edgeOrdering (int edge) |
Returns a permutation mapping (0,1) to the vertices of the given tetrahedron edge in their canonical order. | |
std::string | faceDescription (int face) |
Returns a string representation of the permutation mapping (0,1,2) to the vertices of the given tetrahedron face in their canonical order, as described in faceOrdering(). | |
std::string | faceDescription (const NPerm &facePerm) |
Returns a string representation of the given permutation with only the images of 0, 1 and 2 included. | |
std::string | edgeDescription (int edge) |
Returns a string representation of the permutation mapping (0,1) to the vertices of the given tetrahedron edge in their canonical order, as described in edgeOrdering(). | |
std::string | edgeDescription (const NPerm &edgePerm) |
Returns a string representation of the given permutation with only the images of 0 and 1 included. | |
std::ostream & | operator<< (std::ostream &out, const NTriBool &set) |
Writes the given three-way boolean to the given output stream. | |
std::ostream & | operator<< (std::ostream &out, const NBoolSet &set) |
Writes the given boolean set to the given output stream. | |
template<class Data, class HashFcn, class EqualTo> | |
bool | operator== (const NIndexedArray< Data, HashFcn, EqualTo > &array1, const NIndexedArray< Data, HashFcn, EqualTo > &array2) |
See the C++ standard. | |
template<class Data, class HashFcn, class EqualTo> | |
bool | operator< (const NIndexedArray< Data, HashFcn, EqualTo > &array1, const NIndexedArray< Data, HashFcn, EqualTo > &array2) |
See the C++ standard. | |
std::ostream & | operator<< (std::ostream &out, const NMatrix2 &mat) |
Writes the given matrix to the given output stream. | |
bool | simpler (const NMatrix2 &m1, const NMatrix2 &m2) |
Determines whether the first given matrix is more aesthetically pleasing than the second. | |
bool | simpler (const NMatrix2 &pair1first, const NMatrix2 &pair1second, const NMatrix2 &pair2first, const NMatrix2 &pair2second) |
Determines whether the first given pair of matrices is more aesthetically pleasing than the second pair. | |
std::ostream & | operator<< (std::ostream &out, const NLargeInteger &large) |
Writes the given integer to the given output stream. | |
std::ostream & | operator<< (std::ostream &out, const NRational &rat) |
Writes the given rational to the given output stream. | |
char * | duplicate (const std::string &str) |
Creates a new C string that is a duplicate of the given C++ string. | |
bool | startsWith (const std::string &str, const std::string &prefix) |
Determines whether the given C++ string begins with the given prefix. | |
std::string | stripWhitespace (const std::string &str) |
Strips all whitespace from the beginning and end of the given C++ string. | |
bool | valueOf (const std::string &str, int &dest) |
Converts the entire given string to an integer and reports whether this conversion was successful. | |
bool | valueOf (const std::string &str, unsigned &dest) |
Converts the entire given string to an unsigned integer and reports whether this conversion was successful. | |
bool | valueOf (const std::string &str, long &dest) |
Converts the entire given string to a long integer and reports whether this conversion was successful. | |
bool | valueOf (const std::string &str, unsigned long &dest) |
Converts the entire given string to an unsigned long integer and reports whether this conversion was successful. | |
bool | valueOf (const std::string &str, NLargeInteger &dest) |
Converts the entire given string to an arbitrary precision integer and reports whether this conversion was successful. | |
bool | valueOf (const std::string &str, double &dest) |
Converts the entire given string to a double precision real number and reports whether this conversion was successful. | |
bool | valueOf (const std::string &str, bool &dest) |
Converts the entire given string to a boolean and reports whether this conversion was successful. | |
bool | valueOf (const std::string &str, NTriBool &dest) |
Converts the entire given string to a three-way boolean (true, false or unknown) and reports whether this conversion was successful. | |
bool | valueOf (const std::string &str, NBoolSet &dest) |
Converts the entire given string to a set of booleans and reports whether this conversion was successful. | |
template<class OutputIterator> | |
unsigned | basicTokenise (OutputIterator results, const std::string &str) |
Decomposes the given string into tokens. | |
Variables | |
const double | epsilon |
A very small positive real designed to accommodate for rounding error. | |
const int | vertexSplit [4][4] |
Lists which vertex splits split which pairs of vertices. | |
const int | vertexSplitMeeting [4][4][2] |
Lists which vertex splits meet which edges. | |
const int | vertexSplitDefn [3][4] |
Lists the vertices which each vertex split splits. | |
const int | vertexSplitPartner [3][4] |
Lists the second vertex with which each vertex is paired under each vertex split. | |
const char | vertexSplitString [3][6] |
Contains strings describing which vertices each vertex split splits. | |
const NPerm | triDiscArcs [4][3] |
Lists in consecutive order the directed normal arcs that form the boundary of each type of triangular normal disc. | |
const NPerm | quadDiscArcs [3][4] |
Lists in consecutive order the directed normal arcs that form the boundary of each type of quadrilateral normal disc. | |
const NPerm | octDiscArcs [3][8] |
Lists in consecutive order the directed normal arcs that form the boundary of each type of octahedral normal disc. | |
const int | edgeNumber [4][4] |
edgeNumber[i][j] is the number of the edge linking vertices i and j in a tetrahedron. | |
const int | edgeStart [6] |
edgeStart[k] is the vertex of a tetrahedron at which edge k of the tetrahedron begins. | |
const int | edgeEnd [6] |
edgeEnd[k] is the vertex of a tetrahedron at which edge k of the tetrahedron ends. | |
const NPerm | allPermsS4 [24] |
Contains all possible permutations of four elements. | |
const unsigned | allPermsS4Inv [24] |
Contains the inverses of the permutations in array allPermsS4. | |
const NPerm | orderedPermsS4 [24] |
Contains all possible permutations of four elements in lexicographical order. | |
const NPerm | allPermsS3 [6] |
Contains all possible permutations of three elements. | |
const unsigned | allPermsS3Inv [6] |
Contains the inverses of the permutations in array allPermsS3. | |
const NPerm | orderedPermsS3 [6] |
Contains all possible permutations of three elements in lexicographical order. | |
const NPerm | allPermsS2 [2] |
Contains all possible permutations of two elements. | |
const unsigned | allPermsS2Inv [2] |
Contains the inverses of the permutations in array allPermsS2. |