Coverage for local/lib/python2.7/site-packages/sage/modular/modform/test.py : 100%

r""" 

Run difficult calculations that test the modular forms 

functionality. 

There is currently no good system for timing these doctests across 

all platforms, so I am turning these all into comments (so that they 

are not counted against are doctest coverage), noting that we should 

use these when (if?) we one day have a good regression testing 

system in place. 

Craig Citro 

from sage.all import * 

m=0; t=0; tw=0 

def pre(): 

global m, t, tw 

m = get_memory_usage() 

t = cputime() 

tw = walltime() 

def post(): 

global m,t 

print("total time: %s (wall: %.2f); memory usage diff: %sMB"%(cputime(t), 

walltime(tw), get_memory_usage() - m)) 

def test1(): 

pre() 

for N in range(1,75): 

M = ModularForms(N,2) 

print(M) 

print(M.basis()) 

post() 

def test2(): 

pre() 

for N in range(1,30): 

M = ModularForms(Gamma1(N),2) 

print(M) 

print(M.basis()) 

post() 

def test3(): 

pre() 

for k in range(2,100): 

M = ModularForms(1,k) 

print(M) 

print(M.basis()) 

post() 

def test4(): 

pre() 

for N in range(1,30): 

M = ModularForms(N,4, prec=20) 

print(M) 

print(M.basis()) 

post() 

def test5(): 

pre() 

for N in range(1,50): 

M = ModularForms(N,2, prec=30) 

print(M) 

print(M.basis()) 

post() 

def test6(): 

pre() 

for N in range(225,230): 

M = ModularForms(N,2,prec=40) 

print(M) 

print(M.basis()) 

post() 

def test7(): 

pre() 

for k in range(2,30): 

M = ModularForms(2,k) 

print(M) 

print(M.basis()) 

post() 

def test8(): 

pre() 

for k in range(2,20): 

M = ModularForms(Gamma1(3),k) 

print(M) 

print(M.basis()) 

post() 

def test9(): 

pre() 

for k in range(2,11): 

M = ModularForms(Gamma1(8),k) 

M.set_precision(M.dimension()+2) 

print(M) 

print(M.basis()) 

post() 

def test10(): 

pre() 

for k in range(2,11): 

M = ModularForms(k,k) 

M.set_precision(M.dimension()+2) 

print(M) 

print(M.basis()) 

post() 

def test11(): 

pre() 

for i in range(100): 

M = ModularForms(randint(1,100),randint(2,6)) 

print(M) 

print(M.basis()) 

post() 

def test12(): 

S = CuspForms(23,2) 

print(S) 

print(S.hecke_operator(2)) 

print(S.hecke_operator(2).matrix()) 

"""