knotkit/gss.cpp

127 lines
3.0 KiB
C++

#include <knotkit.h>
const char *program_name;
void
usage ()
{
printf ("usage: %s [-f] [-h] [-o <file>] [-v] <knot>\n", program_name);
printf (" compute Szabo's geometric spectral sequence for knot <knot>\n");
printf ("options:\n");
printf (" -f : compute unreduced spectral sequence\n");
printf (" (reduced is the default)\n");
printf (" -h : print this message\n");
printf (" -o <file> : write output to <file>\n");
printf (" (stdout is the default)\n");
printf (" -v : verbose: report progress as the computation proceeds\n");
printf ("<knot> can be one of:\n");
printf (" - the unknot, e.g. U or unknot\n");
printf (" - a torus knot, e.g. T(2,3)\n");
printf (" - a Rolfsen table knot, e.g. 10_124\n");
printf (" - a Hoste-Thistlethwaite-Weeks knot, e.g. 11a12 or 12n214\n");
printf (" - a Morwen Thistlethwaite link, e.g. L9a21 or L14n7631\n");
printf (" - a planar diagram, e.g.\n");
printf (" PD[X[1, 4, 2, 5], X[3, 6, 4, 1], X[5, 2, 6, 3]] or\n");
printf (" PD[[1, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3]]\n");
printf (" - a Dowker-Thistlethwaite code, e.g.\n");
printf (" DTCode[6,8,2,4],\n");
printf (" DT[dadbcda] or\n");
printf (" DT[{6, -8}, {-10, 12, -14, 2, -4}]\n");
printf (" - a braid, e.g. BR[2, {-1, -1, -1}]\n");
}
int
main (int argc, char **argv)
{
program_name = argv[0];
bool reduced = 1;
const char *knot = 0;
const char *file = 0;
for (int i = 1; i < argc; i ++)
{
if (argv[i][0] == '-')
{
if (strcmp (argv[i], "-f") == 0)
reduced = 0;
else if (strcmp (argv[i], "-h") == 0)
{
usage ();
exit (EXIT_SUCCESS);
}
else if (!strcmp (argv[i], "-v"))
verbose = 1;
else if (!strcmp (argv[i], "-o"))
{
i ++;
if (i == argc)
{
fprintf (stderr, "error: missing argument to option `-o'\n");
exit (EXIT_FAILURE);
}
file = argv[i];
}
else
{
fprintf (stderr, "error: unknown argument `%s'\n", argv[1]);
usage ();
exit (EXIT_FAILURE);
}
}
else
{
if (knot)
{
fprintf (stderr, "error: too many arguments\n");
usage ();
exit (EXIT_FAILURE);
}
else
knot = argv[i];
}
}
if (!knot)
{
fprintf (stderr, "error: missing <knot> argument\n");
usage ();
exit (EXIT_FAILURE);
}
FILE *outfp = 0;
if (file)
{
outfp = fopen (file, "w");
if (!outfp)
{
stderror ("fopen: %s", file);
exit (EXIT_FAILURE);
}
}
else
outfp = stdout;
knot_diagram d = parse_knot (knot);
d.marked_edge = 1;
cube<Z2> c (d, reduced);
fprintf (outfp, "\\documentclass{article}\n\
\\usepackage{amsmath, tikz, hyperref}\n\
\\DeclareMathOperator{\\rank}{rank}\n\
\\setlength{\\parindent}{0pt}\n\
\n\
\\begin{document}\n\
\\pagestyle{empty}\n\
\\tableofcontents\n\
\\sloppy\n");
compute_szabo_sseq (c).texshow (outfp, d.name);
fprintf (outfp, "\\end{document}\n");
if (file)
fclose (outfp);
}