Coverage for local/lib/python2.7/site-packages/sage/dynamics/flat_surfaces/quadratic_strata.py : 81%

r""" 

Strata of quadratic differentials on Riemann surfaces 

.. WARNING:: 

This module is deprecated. You are advised to install and use the 

surface_dynamics package instead available at 

https://pypi.python.org/pypi/surface_dynamics/ 

""" 

from __future__ import print_function 

from six import iteritems 

from sage.structure.sage_object import SageObject 

from sage.rings.integer import Integer 

from sage.rings.rational import Rational 

class QuadraticStratum(SageObject): 

r""" 

Stratum of quadratic differentials. 

""" 

def __init__(self, *l): 

""" 

TESTS:: 

sage: a = QuadraticStratum(-1,-1,-1,-1) 

doctest:warning 

... 

DeprecationWarning: QuadraticStratum is deprecated and will be removed from Sage. 

You are advised to install the surface_dynamics package via: 

sage -pip install surface_dynamics 

If you do not have write access to the Sage installation you can 

alternatively do 

sage -pip install surface_dynamics --user 

The package surface_dynamics subsumes all flat surface related 

computation that are currently available in Sage. See more 

information at 

http://www.labri.fr/perso/vdelecro/surface-dynamics/latest/ 

See http://trac.sagemath.org/20695 for details. 

sage: loads(dumps(a)) == a 

True 

sage: QuadraticStratum([]) 

Traceback (most recent call last): 

... 

ValueError: the list must be non empty ! 

""" 

from sage.dynamics.surface_dynamics_deprecation import surface_dynamics_deprecation 

surface_dynamics_deprecation("QuadraticStratum") 

if isinstance(l[0], list) or isinstance(l[0], tuple): 

if not l[0]: 

raise ValueError("the list must be non empty !") 

self._zeroes = [] 

for (i, j) in iteritems(l): 

i = Integer(i) 

j = Integer(j) 

self._zeroes += [i]*j 

else: 

for i in l: 

i = Integer(i) 

self._zeroes = sorted(list(l), reverse=True) 

self._genus = sum(l)/4 + 1 

self._genus = Integer(self._genus) 

def __repr__(self): 

r""" 

TESTS:: 

sage: a = QuadraticStratum(-1,-1,-1,-1) 

sage: print(a) 

Q(-1, -1, -1, -1) 

""" 

return "Q(" + str(self._zeroes)[1:-1] + ")" 

def __str__(self): 

r""" 

TESTS:: 

sage: a = QuadraticStratum(-1,-1,-1,-1) 

sage: print(a) 

Q(-1, -1, -1, -1) 

""" 

return "Q(" + str(self._zeroes)[1:-1] + ")" 

def __eq__(self, other): 

r""" 

TESTS:: 

sage: QuadraticStratum(0) == QuadraticStratum(0) 

True 

sage: QuadraticStratum(4) == QuadraticStratum(0) 

False 

""" 

return type(self) is type(other) and self._zeroes == other._zeroes 

def __ne__(self, other): 

r""" 

TESTS:: 

sage: QuadraticStratum(0) != QuadraticStratum(0) 

False 

sage: QuadraticStratum(4) != QuadraticStratum(0) 

True 

""" 

return type(self) is not type(other) or self._zeroes != other._zeroes 

def genus(self): 

r""" 

Returns the genus. 

EXAMPLES: 

:: 

sage: QuadraticStratum(-1,-1,-1,-1).genus() 

0 

""" 

return self._genus