This appendix lists all of the methods (built-in functions) and keywords currently available in Combinatorial Game Suite. G,H,S,T,
etc. represent games.
Canonicalize(G) | The canonical form of G . |
C(G) | Shorthand for Canonicalize(G) . |
LeftOptions(G) | The left options of G . |
RightOptions(G) | The right options of G . |
OrdinalSum(G,H) | The ordinal sum of G and H . |
Mean(G) | The mean value of G . |
Temperature(G) | The temperature of G . |
Thermograph(G) | The thermograph of G .
(Use Plot(Thermograph(G)) to plot it.) |
Cool(G,t) | G cooled by the temperature t . |
Chill(G) | G cooled by 1. |
Freeze(G) | G cooled by its temperature. |
Heat(G,T) | G heated by T . |
Overheat(G,S,T) | G overheated from S to T . |
Dissociate(G) | The Norton thermal dissociation of G . |
LeftStop(G) | The left stop of G . |
RightStop(G) | The right stop of G . |
Tiny(G) | Tiny-G . |
Miny(G) | Miny-G . |
Pow(G,n) | The game Gn . (G must have form {0|H} ) |
PowTo(G,n) | The game G->n . (G must have form {0|H} ) |
Superstar | The
superstar with exponent n1,n2,n3,... |
LeftIncentives(G) | The canonical left incentives of G . |
RightIncentives(G) | The canonical right incentives of G . |
Incentives(G) | The canonical incentives of G . |
Birthday(G) | The canonical birthday of G . |
LeftCriticalTemps(G) | The left critical
temperatures of G . |
RightCriticalTemps(G) | The right
critical temperatures of G . |
IsAllSmall(G) | true if G is all small. |
IsEven(G) | true if G
is even. |
IsInfinitesimal(G) | true if G is infinitesimal. |
IsNimber(G) | true if G
is a nimber. |
IsNumber(G) | true if G
is a number. |
IsNumberish(G) | true if G
is number-ish. |
IsOdd(G) | true if G
is odd. |
AtomicWeight(G) | The atomic weight of G . |
Rcf(G) | The reduced canonical form of G . |
OrthodoxForm(G) | An orthodox form for G
(obtained by eliminating unorthodox options for G and all
of its followers). |
ConwayProduct(G,H) | The Conway product of G
and H . |
Onside(G) | The onside of G . |
Offside(G) | The offside of G . |
Upsum(G,H) | The upsum of G and H . |
Downsum(G,H) | The downsum of G and H . |
Degree(G) | The degree of loopiness of G . |
Sidle(G) | The sidled form of G . |
Amazons |
The Amazons position with rows given by S1,S2,S3,... Each Sn should be a string consisting only of the following characters: L R . X
(Example:
Amazons("L...","R...") ) |
Clobber |
The Clobber position with rows given by S1,S2,S3,... Each Sn should be a string consisting only of the following characters: L R . |
Domineering |
The Domineering position with rows given by S1,S2,S3,... Each Sn should be a string consisting only of the following characters:
. X |
DomineeringRectangle |
The empty m by n Domineering position. |
Konane |
The Konane position with rows given by S1,S2,S3,... Each Sn should be a string consisting only of the following characters: L R
. |
FoxAndGeeseTable |
A table containing the values of all Fox and Geese positions with the specified coordinates for the geese. The coordinates are zero-based with (0,0) corresponding to the lower-left corner.
(Example: FoxAndGeeseTable(1,3,3,3,5,3,7,3) ) |
ToadsAndFrogs(S) |
The Toads and Frogs position given by S . S should be a string consisting only of the following three characters: T F . |
SensibleLeftOptions(G) |
A minimal set of sensible left options of G
(roughly, those that correspond to a canonical option via a reversible
sequence of moves). |
SensibleRightOptions(G) |
A minimal set of sensible right options of G . |
SensibleLeftLines(G) |
A set of sensible left lines of play of G .
This is a list of lists, each containing a reversible sequence of moves
from G that terminates in a left option of C(G) .
There will be exactly one sequence for each left option of C(G) . |
SensibleRightLines(G) |
A set of sensible right lines of play of G . |
OrthodoxLeftOptions(G) |
A minimal set of orthodox left options of G
(those that are thermographically relevant). |
OrthodoxRightOptions(G) |
A minimal set of orthodox right options of G . |
OrthodoxLeftLines(G) |
A set of orthodox left lines of play of G .
There will be exactly one sequence for each left option of OrthodoxLeftOptions(C(G)) . |
OrthodoxRightLines(G) |
A set of orthodox right lines of play of G . |
Length(L) | The length of the list L . |
Contains(L,X) | true if the object X
is contained in the list L . |
Add(L,X) | Adds the object X to
the end of the list L . |
Remove(L,n) | Removes the nth
object from the list L , decreasing the length of L
by one. |
Append(L1,L2) | Appends
the list L2 to the end of L1 . |
IsBound(L,n) | true if there is an
object at the nth position of the list L . |
Unbind(L,n) | Removes the nth
object from the list L , leaving the length of L
unchanged (and a hole at position n ). |
Sort(L,f) | Sorts the list L
according the comparator procedure f . f
must be a two-argument procedure with f(X,Y) a canonical
game for each pair X,Y in L . If f(X,Y) < 0 ,
then X is sorted before Y ; if f(X,Y) > 0 ,
then X is sorted after Y ; otherwise the
relative position of X and Y in L
is unchanged. |
Clone(L) | A shallow copy of the list L . |
CreateTable(n) | An empty table with n
columns. |
AddTableRow |
Adds a row to the table t whose entries consist of X1,
X2, ... (the entries can be any objects). |
Plot(T1,T2,...) | Plots the specified thermograph(s) on a single graph. |
KoPlot(G) | Plots the left and right
komaster thermographs of a game G . |
Explore(G) | Opens a new Explorer with G
in its view. |
Edit(G) | Equivalent to Explore(G) . |
Mod(m,n) | m modulo n . |
WriteKernelState(S) | Writes the kernel
state to the file S . |
RestoreKernelState(S) | Restores the
kernel state from the file S . |
ResetKernel() | Resets the kernel. |
The following are CGSuite keywords and therefore may not be used as variable names:
and break by clear continue defined do elif else end err false |
fi for from if in is literally local log not od option |
or out proc remember return seq tabulate then to true while |
Also, variable names may not begin with "v"; it's reserved for down, double-down, etc.