marchwicka/signature_function
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version for first calculations

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Maria Marchwicka 2019-04-12 12:24:34 +02:00
parent bf15b6e84b
commit 6928baeebd
1 changed files with 36 additions and 32 deletions
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58
my_signature.sage
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@ -12,8 +12,8 @@ class MySettings(object):
def __init__(self): def __init__(self):
self.f_results = os.path.join(os.getcwd(), "results.out") self.f_results = os.path.join(os.getcwd(), "results.out")
def main(arg): def main(arg):
my_settings = MySettings()
try: try:
tests(int(arg[1])) tests(int(arg[1]))
except: except:
@ -21,18 +21,20 @@ def main(arg):
def tests(limit=10): def tests(limit=10):
settings = MySettings()
knot_sum_formula = "[[k[0], k[1], k[2]], [k[3], k[4]], \
[-k[0], -k[3], -k[4]], [-k[1], -k[2]]]"
for comb in it.combinations_with_replacement(range(1, limit + 1), 5): with open(settings.f_results, 'w') as f_results:
k_0, k_1, k_2, k_3, k_4 = comb for k in it.combinations_with_replacement(range(1, limit + 1), 5):
knot_sum = eval(knot_sum_formula)
knot_sum = [[k_0, k_1, k_2], [k_3, k_4], [-k_0, -k_3, -k_4], [-k_1, -k_2]]
result = eval_cable_for_thetas(knot_sum) result = eval_cable_for_thetas(knot_sum)
if result is not None: if result is not None:
knot_description, null_comb, all_comb = result knot_description, null_comb, all_comb = result
print 3 * "\nHURA" line = (str(k) + ", " + str(null_comb) + ", " +
print knot_description str(all_comb) + "\n")
print null_comb, all_comb f_results.write(line)
# for comb in it.combinations_with_replacement(range(1, limit + 1), 4): # for comb in it.combinations_with_replacement(range(1, limit + 1), 4):
# print comb # print comb
# print first_sum(*comb) # print first_sum(*comb)
@ -146,22 +148,6 @@ def get_blanchfield_for_pattern(k_n, theta):
results.append((1 - e * ksi, 1 * sgn(k_n))) results.append((1 - e * ksi, 1 * sgn(k_n)))
return SignatureFunction(results) return SignatureFunction(results)
#
# def get_sigma(t, k):
# p = 2
# q = 2 * k + 1
# sigma_set = get_sigma_set(p, q)
# sigma = len(sigma_set) - 2 * len([z for z in sigma_set if t < z < 1 + t])
# return sigma
#
#
# def get_sigma_set(p, q):
# sigma_set = set()
# for i in range(1, p):
# for j in range(1, q):
# sigma_set.add(j/q + i/p)
# return sigma_set
# Bl_theta(K'_(2, d) = # Bl_theta(K'_(2, d) =
# Bl_theta(T_2, d) + Bl(K')(ksi_l^(-theta) * t) # Bl_theta(T_2, d) + Bl(K')(ksi_l^(-theta) * t)
@ -265,7 +251,6 @@ def eval_cable_for_thetas(knot_sum):
# print v_theta # print v_theta
# print # print
if null_combinations^2 >= all_combinations: if null_combinations^2 >= all_combinations:
print "\n\nHURA!!"
print print
print knot_description print knot_description
print "Zero cases: " + str(null_combinations) print "Zero cases: " + str(null_combinations)
@ -275,6 +260,7 @@ def eval_cable_for_thetas(knot_sum):
return knot_description, null_combinations, all_combinations return knot_description, null_combinations, all_combinations
return None return None
def get_knot_descrption(*arg): def get_knot_descrption(*arg):
description = "" description = ""
for knot in arg: for knot in arg:
@ -282,16 +268,34 @@ def get_knot_descrption(*arg):
description += "-" description += "-"
description += "T(" description += "T("
for k in knot: for k in knot:
description += "2, " + str(abs(k)) + "; " description += "2, " + str(2 * abs(k) + 1) + "; "
description = description[:-2] description = description[:-2]
description += ") # " description += ") # "
return description[:-3] return description[:-3]
def get_number_of_combinations(*arg): def get_number_of_combinations(*arg):
number_of_combinations = 1 number_of_combinations = 1
for knot in arg: for knot in arg:
number_of_combinations *= (2 * abs(knot[-1]) + 1) number_of_combinations *= (2 * abs(knot[-1]) + 1)
return number_of_combinations return number_of_combinations
if __name__ == '__main__' and '__file__' in globals(): if __name__ == '__main__' and '__file__' in globals():
main(sys.argv) main(sys.argv)
#
# def get_sigma(t, k):
# p = 2
# q = 2 * k + 1
# sigma_set = get_sigma_set(p, q)
# sigma = len(sigma_set) - 2 * len([z for z in sigma_set if t < z < 1 + t])
# return sigma
#
#
# def get_sigma_set(p, q):
# sigma_set = set()
# for i in range(1, p):
# for j in range(1, q):
# sigma_set.add(j/q + i/p)
# return sigma_set