CoCoA Functions

BI = Built-In     TL = Top-Level
C, C++, STL = from C, C++, STL ...
- = "no meaning in this context"
XXX = obsolete
tmp = temporary syntax < 2010-10
CoCoA 4CoCoA 5CoCoALib
name nameimplementation
date
nameimplementation
date
A
Abs absBI < 2010-10 abs< 2010-10
Adjoint adjoint
AdjointByDetOfMinors
AdjointByInverse
< 2010-10
AffHilbert
AffHilbertFn
AffHilbertSeries
AffPoincare
AlexanderDual_Frobby5 AlexanderDual< 2010-10
Alias aliasBI < 2010-10 --
Alias In ? --
Aliases aliasesBI < 2010-10 --
AllIndetsCalled IndetsCalled("x",R)BI 2010-11 IndetsCalled/myIndetsCalled2010-11
AlmostQR
Append appendBI < 2010-10 PushBack
push_back (STL)
< 2010-10
Ascii asciiBI < 2010-10 (C)-
B
BBasis5
BettiDiagram
BettiMatrix
Bin binomial(INT,INT)
Bin generic
BI < 2010-10
TL 2010-11
binomial< 2010-10
BinExp BinExpTL < 2010-10
Block blockBI < 2010-10 {..} (C)< 2010-10
BlockMatrix BlockMat< 2010-10
Break breakBI < 2010-10 break (C)< 2010-10
BringIn
C
Call --
CartesianProduct, CartesianProductList >< (incompl)BI --
Cast
Catch tryBI < 2010-10 try (C++)< 2010-10
CFApprox
CFApproximants
Characteristic characteristicBI < 2010-10 characteristic< 2010-10
CharPoly
CheckArgTypes
Ciao ciaoBI < 2010-10 --
Clear XXX- --
ClearDenom
Close
CloseLog
CocoaPackagePath
CocoaLimits
Coefficients
CoeffOfTerm
ColMat ColMat< 2010-10
Colon ComputeColon (tmp)< 2010-10
ColumnVectors
Comp
Comps
Concat concatBI < 2010-10 (STL)-
ConcatLists ConcatListBI < 2010-10
Cond XXX- --
ContFrac
ContFracToRat
Count
CurrentRing --
D
Dashes
Date
DecimalStr DecimalStrTL < 2010-10 - (C?)< 2010-10
Define defineBI < 2010-10 --
Deg deg
StdDeg
< 2010-10
DegLexMat
DegRevLexMat
Delete XXX
Den denBI < 2010-10 den< 2010-10
DensePoly
Depth
Der deriv deriv< 2010-10
DerivationAction
Describe describeBI < 2010-10 --
Destroy XXX- --
Det det< 2010-10
DiagonalMat DiagMat< 2010-10
Diff --
Dim
Discriminant
Distrib
Div divBI < 2010-10 int/int (C)< 2010-10
DivAlg
E
E_
Eigenvectors
Elim ComputeElim (tmp)< 2010-10
EqSet
Equals
EquiIsoDec
Error errorBI < 2010-10 CoCoA_ERROR< 2010-10
Eval
EvalBinExp EvalBinExpTL < 2010-10
EvalHilbertFn
Ext
F
Fact factorialBI < 2010-10 factorial< 2010-10
Factor factor< 2010-10
FactorMultiplicity
FGLM5
Fields fieldsBI < 2010-10 --
First (C, C++, STL)-
FirstNonZero
FirstNonZeroPos
Flatten
FloatApprox convert< 2010-10
FloatStr - (C?)-
For forBI < 2010-10 for (C)-
Foreach foreachBI < 2010-10 for_each (C)-
Format --
Fraction / (?)BI < 2010-10 /< 2010-10
Function ?? --
Functions describeBI < 2010-10 --
G
GB.Complete
GB.GetBettiMatrix
GB.GetNthSyz
GB.GetNthSyzShifts
GB.GetRes
GB.GetResLen
GB.ResReport
GB.Start_GBasis
GB.Start_MinGens
GB.Start_MinSyzMinGens
GB.Start_Res
GB.Start_Syz
GB.Start_SyzMinGens
GB.Stats
GB.Step
GB.Steps
GBasis TidyGens< 2010-10
GBasisTimeout
GBasis5, and more
GBM
GCD gcd (poly)BI < 2010-10 gcd< 2010-10
GCDFreeBasis
GenericPoints
GenRepr
Gens gens< 2010-10
Get
GetEnv
GetErrMesg
Gin, Gin5
GlobalMemory
H
H.Browse
H.Commands
H.Man
H.OutCommands
H.OutManual
H.SetMore
H.Syntax
H.Tips
H.Toc
H.Tutorial
H.UnSetMore
Head
HColon
Help XXX- --
HGBM
Hilbert
HilbertFn
HilbertBasis
HilbertPoly
HilbertSeries see Poincare-
HilbertSeriesMultiDeg
HilbertSeriesShifts
HIntersection
HIntersectionList
Homogenized
HSaturation
HVector
I
Ideal
IdealAndSeparatorsOfPoints
IdealAndSeparatorsOfProjectivePoints
IdealOfPoints
IdealOfProjectivePoints
Identity IdentityMat< 2010-10
If ifBI < 2010-10 if (C)< 2010-10
ILogBase
Image RingHom< 2010-10
ImplicitPlot
ImplicitPlotOn
In inBI < 2010-10 --
Indet indet< 2010-10
IndetInd NumIndices(sym)
index(sym,i)
< 2010-10
IndetIndex IsIndet(i,pp)
IsIndetPosPower(i,exp,pp)
< 2010-10
Indets indetsBI < 2010-10 indets< 2010-10
IndetName myIndetName< 2010-10
Insert insertBI < 2010-10 (STL)-
Interpolate
Interreduce, Interreduced
Intersection ComputeIntersection (tmp)< 2010-10
IntersectionList --
Inverse inverse
InverseByGauss
< 2010-10
InverseSystem
IO.SprintTrunc
IrreducibleDecom_Frobby5 IrreducibleDecomposition< 2010-10
Iroot
IsAntiSymmetric
IsDefined IsDefinedBI < 2010-10 --
IsDiagonal
IsEven, IsOdd IsEven, IsOddBI < 2010-10 IsEven, IsOdd< 2010-10
IsHomog IsHomog< 2010-10
IsIn IsIn< 2010-10 --
IsInSubalgebra
IsInRadical
IsLexSegment
IsNumber
IsPositiveGrading
IsPPrime IsProbPrime< 2010-10
IsPrime IsPrime< 2010-10
Isqrt
IsServerReady
IsStable
IsStronglyStable
IsSubset
IsSymmetric
IsTerm
IsTermOrdering
IsTree5
IsZero IsZeroBI < 2010-10 IsZero< 2010-10
J
Jacobian
K
Ker
L
Last
Latex
LC LCBI < 2010-10 LC< 2010-10
LCM
Len lenBI < 2010-10 size< 2010-10
LexMat
LexSegmentIdeal
LinearSimplify
LinKer
LinKerModP
LinSol
List
LM LMBI 2010-11
Log logBI 2010-11 exponents
ZZExponents
< 2010-10
LogToTerm
LPos
LPP LPPBI 2010-11 LPP< 2010-10
LT LTBI 2010-11
M
MakeCheck
MakeMatByRows, MakeMatByCols
MakeSet
Man ?BI < 2010-10 --
MantissaAndExponent
MapDown
Mat
MatConcatAntiDiag
MatConcatDiag
MatConcatHor
MatConcatVer
MayerVietorisTreeN1
Max
MaximalStandardMonomials_Frobby5
MDeg wdeg< 2010-10
Memory
Min
MinGens
Minimalize
Minimalized
MinimalPresentation
Minors
MinPowerInIdeal
MinSyzMinGens
Mod modBI < 2010-10 mod
%
< 2010-10
Mod2Rat
Module module
FreeModule
< 2010-10
Monic
Monomials monomialsBI 2010-11 --
MonsInIdeal
More XXX- --
Multiplicity
N
NewId --
NewLine \n (C)-
NewList ctor (STL)-
NewMat ctor< 2010-10
NewVector ctor ModuleElem< 2010-10
NextPPrime NextProbPrime< 2010-10
NextPrime NextPrime< 2010-10
NF NF< 2010-10
NFsAreZero
NonZero
Not, And, Or not, and, orBI < 2010-10 !, &&, || (C)-
NR NR< 2010-10
Num numBI < 2010-10 num< 2010-10
NumCols NumCols< 2010-10
NumComps NumCompts< 2010-10
NumIndets NumIndets< 2010-10
NumRows NumRows< 2010-10
O
OpenIFile
OpenIString
OpenLog
OpenOFile
OpenOString
OpenSocket
Option --
Ord ordering(PPM)< 2010-10
P
Packages --
Panel --
Panels --
Partitions
Permutations
PerpIdealOfForm
Pfaffian
PkgName PkgNameBI < 2010-10 --
PlotPoints
PlotPointsOn
Poincare HilbertNumeratorMod_C (tmp)
HilbertNumeratorMod (tmp)
< 2010-10
PoincareShifts
PoincareMultiDeg
Poly
PositiveGrading4
PowerMod PowerModBI 2010-11 PowerMod< 2010-10
PreprocessPts5 PreprocessAggrAlgm
PreprocessGridAlgm
PreprocessSubdivAlgm
< 2010-10
PrimaryDecomposition
Print printBI < 2010-10 GlobalOutput() <<< 2010-10
Print On Print OnBI < 2010-10 GlobalOutput ...< 2010-10
PrintLn PrintLnBI < 2010-10 GlobalOutput() << endl;< 2010-10
Product productBI < 2010-10 product< 2010-10
Q
Quit quitBI < 2010-10 --
QuotientBasis QBGenerator.myQB ?< 2010-10
QZP
R
Radical
RadicalOfUnmixed
Rand RandomBitStream
RandomLongStream
RandomZZStream
< 2010-10
Randomize --
Randomized --
Rank
RealRootRefine
RealRoots
RealRootsApprox
Record recordBI < 2010-10 --
ReducedGBasis TidyGens< 2010-10
RefineGCDFreeBasis
Reg, Reg5
RegularityIndex
RelNotes --
Remove removeBI < 2010-10 remove_if (STL)-
Repeat repeatBI < 2010-10 --
Res
Resultant
Reset
ResetPanels
Return returnBI < 2010-10 return (C)-
Reverse, Reversed reverse_iterator (STL)-
RevLexMat
Ring -- --
RingEnv owner ?BI < 2010-10 owner
AmbientRing
< 2010-10
RingEnvs
RingEnvSet
RMap RingHom< 2010-10
RootBound
RowMat RowMat< 2010-10
S
Saturation ComputeSaturation (tmp)< 2010-10
ScalarProduct ScalarProductBI < 2010-10 --
Seed Random*Stream ctor< 2010-10
SeparatorsOfPoints
SeparatorsOfProjectivePoints
Set, Unset
Shape shapeTL < 2010-10
Sign signBI < 2010-10 sign< 2010-10
Size
Skip skipBI < 2010-10 --
SmoothFactor SmoothFactor< 2010-10
Sort mySort
sort (STL)
< 2010-10
Sorted --
SortBy sort (STL)< 2010-10
SortedBy --
Source sourceBI < 2010-10 --
Spaces
Sprint sprintBI < 2010-10 --
StableBBasis5 SOITwinFloat< 2010-10
StableBBasisNBM5 NBMTwinFloat< 2010-10
StableIdeal
StarPrint, StarSprint
Starting
SubalgebraMap
SubalgebraRepr
Submat submat< 2010-10
StronglyStableIdeal
Subsets
Subst
Sum sumBI < 2010-10 sum< 2010-10
Support supportBI 2010-11 --
Sylvester
Syz ComputeSyz (tmp)< 2010-10
SyzMinGens
SyzOfGens
T
Tag tagBI < 2010-10 --
Tagged taggedBI < 2010-10 --
Tail
TensorMat
Toric
Transposed transpose< 2010-10
Tuples --
Type typeBI < 2010-10 --
TypeOfCoeffs
Types
U
UnivariateIndetIndex IsIndet< 2010-10
Unset
Untagged untaggedBI < 2010-10 --
Use useBI < 2010-10 --
Using XXX --
V
Var ref
Var(str) XXX
BI < 2010-10 --
Vector ModuleElem< 2010-10
W
Weights NewMatrixOrdering< 2010-10
WeightsList XXX-
WeightsMatrix ordering, GradingDim< 2010-10
While whileBI < 2010-10 while (C)-
WithoutNth
WLog XXX-
X
XelMat
Z
ZPQ