def __init__(self,
name,
conversions=None,
latex=None,
mathml="",
domain='complex'):
"""
EXAMPLES::
sage: from sage.symbolic.constants import Constant
sage: p = Constant('p')
sage: loads(dumps(p))
p
"""
self._conversions = conversions if conversions is not None else {}
self._latex = latex if latex is not None else name
self._mathml = mathml
self._name = name
self._domain = domain
for system, value in self._conversions.items():
setattr(self, "_%s_" % system,
partial(self._generic_interface, value))
setattr(self, "_%s_init_" % system,
partial(self._generic_interface_init, value))
from sage.symbolic.constants_c import PynacConstant
self._pynac = PynacConstant(self._name, self._latex, self._domain)
self._serial = self._pynac.serial()
constants_table[self._serial] = self
constants_name_table[self._name] = self
from sage.symbolic.pynac import register_symbol
register_symbol(self.expression(), self._conversions)
def __init__(self, name, conversions=None, latex=None, mathml="",
domain='complex'):
"""
EXAMPLES::
sage: from sage.symbolic.constants import Constant
sage: p = Constant('p')
sage: loads(dumps(p))
p
"""
self._conversions = conversions if conversions is not None else {}
self._latex = latex if latex is not None else name
self._mathml = mathml
self._name = name
self._domain = domain
for system, value in self._conversions.items():
setattr(self, "_%s_"%system, partial(self._generic_interface, value))
setattr(self, "_%s_init_"%system, partial(self._generic_interface_init, value))
from sage.symbolic.constants_c import PynacConstant
self._pynac = PynacConstant(self._name, self._latex, self._domain)
self._serial = self._pynac.serial()
constants_table[self._serial] = self
constants_name_table[self._name] = self
from sage.symbolic.pynac import register_symbol
register_symbol(self.expression(), self._conversions)
H_{x}
sage: latex(harmonic_number(x,2))
H_{{x},{2}}
"""
if m == 1:
return r"H_{%s}" % z
else:
return r"H_{{%s},{%s}}" % (z, m)
harmonic_number = Function_harmonic_number_generalized()
def _swap_harmonic(a,b): return harmonic_number(b,a)
from sage.symbolic.pynac import register_symbol
register_symbol(_swap_harmonic,{'maxima':'gen_harmonic_number'})
register_symbol(_swap_harmonic,{'maple':'harmonic'})
class Function_harmonic_number(BuiltinFunction):
r"""
Harmonic number function, defined by:
.. math::
H_{n}=H_{n,1}=\sum_{k=1}^n\frac1k
H_{s}=\int_0^1\frac{1-x^s}{1-x}
See the docstring for :meth:`Function_harmonic_number_generalized`.
This class exists as callback for ``harmonic_number`` returned by Maxima.
if isinstance(x, float):
return math.sqrt(x)
elif type(x).__module__ == 'numpy':
from numpy import sqrt
return sqrt(x)
try:
return x.sqrt(*args, **kwds)
# The following includes TypeError to catch cases where sqrt
# is called with a "prec" keyword, for example, but the sqrt
# method for x doesn't accept such a keyword.
except (AttributeError, TypeError):
pass
return _do_sqrt(x, *args, **kwds)
# register sqrt in pynac symbol_table for conversion back from other systems
register_symbol(sqrt, dict(mathematica='Sqrt'))
symbol_table['functions']['sqrt'] = sqrt
Function_sqrt = type('deprecated_sqrt', (),
{'__call__': staticmethod(sqrt),
'__setstate__': lambda x, y: None})
class Function_arg(BuiltinFunction):
def __init__(self):
r"""
The argument function for complex numbers.
EXAMPLES::
sage: arg(3+i)
arctan(1/3)
return math.sqrt(x)
elif type(x).__module__ == 'numpy':
from numpy import sqrt
return sqrt(x)
try:
return x.sqrt(*args, **kwds)
# The following includes TypeError to catch cases where sqrt
# is called with a "prec" keyword, for example, but the sqrt
# method for x doesn't accept such a keyword.
except (AttributeError, TypeError):
pass
return _do_sqrt(x, *args, **kwds)
# register sqrt in pynac symbol_table for conversion back from other systems
register_symbol(sqrt, dict(mathematica='Sqrt'))
symbol_table['functions']['sqrt'] = sqrt
Function_sqrt = type('deprecated_sqrt', (), {
'__call__': staticmethod(sqrt),
'__setstate__': lambda x, y: None
})
class Function_arg(BuiltinFunction):
def __init__(self):
r"""
The argument function for complex numbers.
EXAMPLES::
