def specialValueTriple(L, s, sLatex_analytic, sLatex_arithmetic):
''' Returns [L_arithmetic, L_analytic, L_val]
Currently only used for genus 2 curves
and Dirichlet characters.
Eventually want to use for all L-functions.
'''
number_of_decimals = 10
val = None
if L.fromDB: #getattr(L, 'fromDB', False):
s_alg = s + L.analytic_normalization
for x in L.values:
# the numbers here are always half integers
# so this comparison is exact
if x[0] == s_alg:
val = x[1]
break
if val is None:
if L.fromDB:
val = "not computed"
else:
val = L.sageLfunction.value(s)
logger.warning(
"a value of an L-function has been computed on the fly")
if sLatex_arithmetic:
lfunction_value_tex_arithmetic = L.texname_arithmetic.replace(
's)', sLatex_arithmetic + ')')
else:
lfunction_value_tex_arithmetic = ''
if sLatex_analytic:
lfunction_value_tex_analytic = L.texname.replace(
'(s', '(' + sLatex_analytic)
else:
lfunction_value_tex_analytic = ''
if isinstance(val, string_types):
Lval = val
else:
ccval = CDF(val)
# We must test for NaN first, since it would show as zero otherwise
# Try "RR(NaN) < float(1e-10)" in sage -- GT
if ccval.real().is_NaN():
Lval = r"$\infty$"
else:
Lval = display_complex(ccval.real(), ccval.imag(),
number_of_decimals)
return [lfunction_value_tex_analytic, lfunction_value_tex_arithmetic, Lval]
def specialValueTriple(L, s, sLatex_analytic, sLatex_arithmetic):
''' Returns [L_arithmetic, L_analytic, L_val]
Currently only used for genus 2 curves
and Dirichlet characters.
Eventually want to use for all L-functions.
'''
number_of_decimals = 10
val = None
if L.fromDB: #getattr(L, 'fromDB', False):
s_alg = s + L.analytic_normalization
for x in L.values:
# the numbers here are always half integers
# so this comparison is exact
if x[0] == s_alg:
val = x[1]
break
if val is None:
if L.fromDB:
val = "not computed"
else:
val = L.sageLfunction.value(s)
logger.warning("a value of an L-function has been computed on the fly")
if sLatex_arithmetic:
lfunction_value_tex_arithmetic = L.texname_arithmetic.replace('s)', sLatex_arithmetic + ')')
else:
lfunction_value_tex_arithmetic = ''
if sLatex_analytic:
lfunction_value_tex_analytic = L.texname.replace('(s', '(' + sLatex_analytic)
else:
lfunction_value_tex_analytic = ''
if isinstance(val, basestring):
Lval = val
else:
ccval = CDF(val)
# We must test for NaN first, since it would show as zero otherwise
# Try "RR(NaN) < float(1e-10)" in sage -- GT
if ccval.real().is_NaN():
Lval = "$\\infty$"
else:
Lval = display_complex(ccval.real(), ccval.imag(), number_of_decimals)
return [lfunction_value_tex_analytic, lfunction_value_tex_arithmetic, Lval]