A simple utility that, given some initial terms of an unknown generating
function F
, conjectures a functional equation that F
satisfies. Inspired by
this talk by
Jay Pantone.
Usage: jay [OPTION]...
Given initial terms of an unknown generating function F,
conjecture a functional equation that F satisfies.
-D, --diff the highest derivative of F to appear (default: 0)
-fd, --fdeg the highest power of F to appear (default: 1)
-d, --deg the highest powers of variables to appear
-t, --type the type of the generating function: ogf, egf (default: ogf)
--hops generate output that HOPS understands
-h, --help display this help and exit
-q, --quiet don't log any unnecessary output
The program expects the initial terms to be specified on standard
input in the following format. On the first line an integer 'n',
denoting the number of variables in the generating function. On
each of the following lines, until EOF, one initial term must be
specified in the format 'i_1 i_2 ... i_n c_{i_1, i_2, ..., i_n}',
meaning that 'c_{i_1, i_2, ..., i_n}' is the coefficient of
'x_1^{i_1} x_2^{i_2} ... x_n^{i_n}' in F. The list of initial terms
must be closed down, meaning that if a coefficient is listed, then
all coefficients with smaller indices must be listed as well.
$ ./autogen.sh
$ ./configure
$ make
# make install
Or, using the Nix package manager:
$ nix-env -f ./default.nix -i
MIT: see the LICENSE file.