def str_to_CBF(s):
# in sage 8.2 or earlier this is equivalent to CBF(s)
s = str(s) # to convert from unicode
try:
return CBF(s)
except TypeError:
sign = 1
s = s.lstrip('+')
if '+' in s:
a, b = s.rsplit('+', 1)
elif '-' in s:
a, b = s.rsplit('-',1)
sign = -1
else:
a = ''
b = s
a = a.lstrip(' ')
b = b.lstrip(' ')
if 'I' in a:
b, a = a, b
assert 'I' in b or b == ''
if b == 'I':
b = '1'
else:
b = b.rstrip(' ').rstrip('I').rstrip('*')
res = CBF(0)
if a:
res += CBF(a)
if b:
res += sign * CBF(b)* CBF.gens()[0]
return res
def _get_alpha(self, m, p, i):
theta = CBF(self.cc_data[m]['angles'][p])
unit = (2 * theta).exppii()
if i == 0:
res = unit
else:
# it is very likely that the real or imag part are a half integer
# as it returns a CDF, we need to convert it to CBF again
chival = CBF(round_CBF_to_half_int(CBF(self.character_values[p][(m-1) // self.rel_dim][1])))
res = chival / unit
return round_CBF_to_half_int(res)
def str_to_CBF(s):
# in sage 8.2 or earlier this is equivalent to CBF(s)
s = str(s) # to convert from unicode
try:
return CBF(s)
except TypeError:
sign = 1
s = s.lstrip('+')
if '+' in s:
a, b = s.rsplit('+', 1)
elif '-' in s:
a, b = s.rsplit('-',1)
sign = -1
else:
a = ''
b = s
a = a.lstrip(' ')
b = b.lstrip(' ')
if 'I' in a:
b, a = a, b
assert 'I' in b or b == ''
if b == 'I':
b = '1'
else:
b = b.rstrip(' ').rstrip('I').rstrip('*')
res = CBF(0)
if a:
res += CBF(a)
if b:
res += sign * CBF(b)* CBF.gens()[0]
return res
def str_to_CBF(s):
# in sage 8.2 or earlier this is equivalent to CBF(s)
s = str(s) # to convert from unicode
try:
return CBF(s)
except TypeError:
# Need to deal with scientific notation
# Replace e+ and e- with placeholders so that we can split on + and -
s = s.replace("e+", "P").replace("E+",
"P").replace("e-",
"M").replace("E-", "M")
sign = 1
s = s.lstrip('+')
if '+' in s:
a, b = s.rsplit('+', 1)
elif '-' in s:
a, b = s.rsplit('-', 1)
sign = -1
else:
a = ''
b = s
a = a.lstrip(' ')
b = b.lstrip(' ')
if 'I' in a:
b, a = a, b
assert 'I' in b or b == ''
if b == 'I':
b = '1'
else:
b = b.rstrip().rstrip('I').rstrip('*')
a = a.replace("M", "e-").replace("P", "e+")
b = b.replace("M", "e-").replace("P", "e+")
res = CBF(0)
if a:
res += CBF(a)
if b:
res += sign * CBF(b) * CBF.gens()[0]
return res