Skip to content
Permalink
master
Switch branches/tags

Name already in use

A tag already exists with the provided branch name. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. Are you sure you want to create this branch?
Go to file
 
 
Cannot retrieve contributors at this time
executable file 81 lines (67 sloc) 2.72 KB
#! /bin/env python
#
# The location of your version of python should replace the above. On
# Unix, the command "which python" will tell you the correct location.
#
# Under Unix, you also need to set the file permissions so that it is
# executeable (e.g. chmod +x montesinos_bdry.py)
#
# For an explanation of what this program does see the help string below.
#
# Written by Nathan Dunfield <nathand@math.uchicago.edu>
#
# Version 1.0. Dec 4, 1998.
# Version 1.1. Jan 29, 1999. Added more graceful handling of improper input
# Version 1.3. Nov 14, 2020. Made work with Python 3.*
import os, sys, re, getopt
from montesinos import compute_surfaces, compute_boundary_slopes, essential_info, defines_knot, no_integer_tangles
from gcd_tools import string_to_frac
help = """usage: %s [-s -f -a] a/b c/d e/f ...
computes the incompressible surfaces in the complement of the given
Montesinos knot K(a/b, c/d,...). Prints the name of the knot followed
by a list of boundary slopes, and then a some more detailed
information about the incompressible surfaces. If the -s option is
given prints only the name and list of boundary slopes. If the -f
option is given it also prints full information about each
incompressible surfaces (e.g. the edgepaths in the diagram). If the
-a option is given, it prints full information about all the candidate
surfaces.
""" % sys.argv[0]
def main():
tangles = []
optlist = []
for arg in sys.argv[1:]:
if arg == "-s" or arg == "-f" or arg == "-a":
optlist.append(arg)
else:
try:
tangles.append( string_to_frac(arg))
except ValueError:
print("%s is not a fraction or an option\n" % arg)
print(help)
sys.exit(0)
if len(tangles) < 3:
print("Need at least 3 tangles, else use two-bridge program\n")
print(help)
sys.exit(0)
if not defines_knot(tangles):
print("Tangles give a link, not a knot.")
sys.exit(0)
if not no_integer_tangles(tangles):
print("No integer tangles allowed.")
sys.exit(0)
surfaces = compute_surfaces(tangles)
str = "K%s\t%s\n" % (tuple(tangles), compute_boundary_slopes(surfaces) )
sys.stdout.write(str)
if not optlist.count("-s"):
sys.stdout.write("More info: (slope, number of sheets, euler char)\n")
sys.stdout.write( repr(essential_info(surfaces)) + "\n")
if optlist.count("-f"):
for surface in surfaces:
if surface.carries_incompressible:
sys.stdout.write(repr(surface) + "\n")
if optlist.count("-a"):
for surface in surfaces:
sys.stdout.write(repr(surface) + "\n")
sys.stdout.flush()
main()