def _init_check_mpc(x):
"""
Returns a new mpc and a pointer to a c mpc storing the value of x
"""
if isinstance(x, mpc):
res = _new_mpc()
mpc_x = x._mpc
elif isinstance(x, complex):
res = _new_mpc()
mpc_x = res # avoid initialising another c mpc
gmp.mpc_set_d_d(mpc_x, x.real, x.imag, gmp.MPC_RNDNN)
elif isinstance(x, mpfr):
res = _new_mpc()
mpc_x = res # avoid initialising another c mpc
gmp.mpc_set_fr(mpc_x, x, gmp.MPC_RNDNN)
elif isinstance(x, float):
res = _new_mpc()
gmp.mpc_set_d(mpc_x, x, gmp.MPC_RNDNN)
elif isinstance(x, (int, long)):
res = _new_mpc()
mpc_x = res # avoid initialising another c mpc
_pyint_to_mpfr(x, gmp.mpc_realref(mpc_x))
gmp.mpfr_set_ui(gmp.mpc_imagref(mpc_x), 0, gmp.MPC_RNDNN)
elif isinstance(x, mpz):
res = _new_mpc()
mpc_x = res # avoid initialising another c mpc
gmp.mpc_set_z(mpc_x, x._mpz, gmp.MPC_RNDNN)
elif isinstance(x, mpq):
res = _new_mpc()
mpc_x = res # avoid initialising another c mpc
gmp.mpc_set_q(mpc_x, x._mpq, gmp.MPC_RNDNN)
else:
raise TypeError
return res, mpc_x
def __rpow__(self, other):
res = _new_mpc() # TODO use context precision
if isinstance(other, mpfr):
gmp.mpc_set_fr(res, other._mpfr, gmp.MPFR_RNDN)
gmp.mpc_pow(res, res, self._mpc, gmp.MPFR_RNDN)
elif isinstance(other, mpq):
gmp.mpc_set_q(res, other._mpq, gmp.MPFR_RNDN)
gmp.mpc_pow(res, res, self._mpc, gmp.MPFR_RNDN)
elif isinstance(other, mpz):
gmp.mpc_set_z(res, other._mpz, gmp.MPC_RNDNN)
gmp.mpc_pow(res, res, self._mpc, gmp.MPFR_RNDN)
elif isinstance(other, complex):
gmp.mpc_set_d_d(res, other.real, other.imag, gmp.MPC_RNDNN)
gmp.mpc_pow(res, res, self._mpc, gmp.MPC_RNDNN)
elif isinstance(other, float):
gmp.mpc_set_d(res, other, gmp.MPFR_RNDN)
gmp.mpc_pow(res, res, self._mpc, gmp.MPC_RNDNN)
elif isinstance(other, (int, long)):
if 0 <= other <= MAX_UI:
gmp.mpc_set_ui(res, other, gmp.MPC_RNDNN)
elif -sys.maxsize - 1 <= other <= sys.maxsize:
gmp.mpc_set_si(res, other, gmp.MPC_RNDNN)
else:
tmp_mpz = _new_mpz()
_pyint_to_mpz(other, tmp_mpz)
gmp.mpc_set_z(res, tmp_mpz, gmp.MPC_RNDNN)
_del_mpz(tmp_mpz)
gmp.mpc_pow(res, res, self._mpc, gmp.MPC_RNDNN)
else:
return NotImplemented
return mpc._from_c_mpc(res)
def __rpow__(self, other):
res = _new_mpc() # TODO use context precision
if isinstance(other, mpfr):
gmp.mpc_set_fr(res, other._mpfr, gmp.MPFR_RNDN)
gmp.mpc_pow(res, res, self._mpc, gmp.MPFR_RNDN)
elif isinstance(other, mpq):
gmp.mpc_set_q(res, other._mpq, gmp.MPFR_RNDN)
gmp.mpc_pow(res, res, self._mpc, gmp.MPFR_RNDN)
elif isinstance(other, mpz):
gmp.mpc_set_z(res, other._mpz, gmp.MPC_RNDNN)
gmp.mpc_pow(res, res, self._mpc, gmp.MPFR_RNDN)
elif isinstance(other, complex):
gmp.mpc_set_d_d(res, other.real, other.imag, gmp.MPC_RNDNN)
gmp.mpc_pow(res, res, self._mpc, gmp.MPC_RNDNN)
elif isinstance(other, float):
gmp.mpc_set_d(res, other, gmp.MPFR_RNDN)
gmp.mpc_pow(res, res, self._mpc, gmp.MPC_RNDNN)
elif isinstance(other, (int, long)):
if 0 <= other <= MAX_UI:
gmp.mpc_set_ui(res, other, gmp.MPC_RNDNN)
elif -sys.maxsize - 1 <= other <= sys.maxsize:
gmp.mpc_set_si(res, other, gmp.MPC_RNDNN)
else:
tmp_mpz = _new_mpz()
_pyint_to_mpz(other, tmp_mpz)
gmp.mpc_set_z(res, tmp_mpz, gmp.MPC_RNDNN)
_del_mpz(tmp_mpz)
gmp.mpc_pow(res, res, self._mpc, gmp.MPC_RNDNN)
else:
return NotImplemented
return mpc._from_c_mpc(res)
def sin_cos(x):
"""
sin_cos(x) -> (number, number)
Return a tuple containing the sine and cosine of x; x in radians.
"""
if isinstance(x, mpfr):
res1 = _new_mpfr(gmp.mpfr_get_prec(x._mpfr))
res2 = _new_mpfr(gmp.mpfr_get_prec(x._mpfr))
mpfr_x = x._mpfr
elif isinstance(x, float):
res1 = _new_mpfr()
res2 = _new_mpfr()
mpfr_x = res1
elif isinstance(x, (int, long)):
res1 = _new_mpfr()
res2 = _new_mpfr()
mpfr_x = res1
_pyint_to_mpfr(x, mpfr_x)
elif isinstance(x, mpz):
res1 = _new_mpfr()
res2 = _new_mpfr()
mpfr_x = res1
gmp.mpfr_set_z(mpfr_x, x._mpz, gmp.MPFR_RNDN)
elif isinstance(x, mpq):
res1 = _new_mpfr()
res2 = _new_mpfr()
mpfr_x = res1
gmp.mpfr_set_q(mpfr_x, x._mpq, gmp.MPFR_RNDN)
else:
if isinstance(x, mpc):
res1 = _new_mpc()
res2 = _new_mpc()
mpc_x = x._mpc
elif isinstance(x, complex):
res1 = _new_mpc()
res2 = _new_mpc()
mpc_x = res1
gmp.mpc_set_d_d(mpc_x, x.real, x.imag, gmp.MPC_RNDNN)
else:
raise TypeError
gmp.mpc_sin_cos(res1, res2, mpc_x, gmp.MPC_RNDNN, gmp.MPC_RNDNN)
return (mpc._from_c_mpc(res1), mpc._from_c_mpc(res2))
gmp.mpfr_sin_cos(res1, res2, mpfr_x, gmp.MPFR_RNDN)
return (mpfr._from_c_mpfr(res1), mpfr._from_c_mpfr(res2))
def __init__(self, *args):
nargs = len(args)
# if nargs == 1 and isinstance(args[0], self.__class__):
# self._mpc = args[0]._mpc
# return
if nargs == 0:
self._mpc = ffi.gc(_new_mpc(), _del_mpc)
gmp.mpc_set_ui(self._mpc, 0, gmp.MPC_RNDNN)
elif isinstance(args[0], str): # unicode?
# First argument is a string
if nargs == 1:
prec, base = 0, 10
elif nargs == 2:
prec, base = args[1], 10
elif nargs == 3:
prec, base = args[1], args[2]
else:
raise TypeError("function takes at most 3 arguments (4 given)")
prec = _check_prec(prec)
self._mpc = ffi.gc(_new_mpc(prec), _del_mpc)
_str_to_mpc(args[0], base, self._mpc)
elif isinstance(args[0], (mpc, complex)):
# First argument is complex
if nargs == 1:
prec = (0, 0)
elif nargs == 2:
prec = _check_prec(args[1])
else:
raise TypeError("function takes at most 2 arguments (3 given)")
self._mpc = ffi.gc(_new_mpc(prec), _del_mpc)
if isinstance(args[0], mpc):
gmp.mpc_set(self._mpc, args[0]._mpc, gmp.MPC_RNDNN)
elif isinstance(args[0], complex):
gmp.mpc_set_d_d(self._mpc, args[0].real, args[0].imag,
gmp.MPC_RNDNN)
elif isinstance(args[0], (mpfr, mpq, mpz, float, int, long)):
# First argument is real
if nargs <= 2:
prec = (0, 0)
elif nargs == 3:
prec = _check_prec(args[2])
else:
raise TypeError("function takes at most 3 arguments (4 given)")
self._mpc = ffi.gc(_new_mpc(prec), _del_mpc)
realref = gmp.mpc_realref(self._mpc)
imagref = gmp.mpc_imagref(self._mpc)
if isinstance(args[0], mpfr):
gmp.mpfr_set(realref, args[0]._mpfr, gmp.MPFR_RNDN)
elif isinstance(args[0], mpz):
gmp.mpfr_set_z(realref, args[0]._mpz, gmp.MPFR_RNDN)
elif isinstance(args[0], mpq):
gmp.mpfr_set_q(realref, args[0]._mpq, gmp.MPFR_RNDN)
elif isinstance(args[0], float):
gmp.mpfr_set_d(realref, args[0], gmp.MPFR_RNDN)
elif isinstance(args[0], (int, long)):
_pyint_to_mpfr(args[0], realref)
if nargs >= 2:
# Check if second argument is real
if isinstance(args[1], mpfr):
gmp.mpfr_set(imagref, args[1]._mpfr, gmp.MPFR_RNDN)
elif isinstance(args[1], mpz):
gmp.mpfr_set_z(imagref, args[1]._mpz, gmp.MPFR_RNDN)
elif isinstance(args[1], mpq):
gmp.mpfr_set_q(imagref, args[1]._mpq, gmp.MPFR_RNDN)
elif isinstance(args[1], float):
gmp.mpfr_set_d(imagref, args[1], gmp.MPFR_RNDN)
elif isinstance(args[1], (int, long)):
_pyint_to_mpfr(args[1], imagref)
else:
raise TypeError(
"invalid type for imaginary component in mpc()")
else:
gmp.mpfr_set_ui(imagref, 0, gmp.MPFR_RNDN)
else:
raise TypeError("mpc() requires numeric or string argument")
def __init__(self, *args):
nargs = len(args)
# if nargs == 1 and isinstance(args[0], self.__class__):
# self._mpc = args[0]._mpc
# return
if nargs == 0:
self._mpc = ffi.gc(_new_mpc(), _del_mpc)
gmp.mpc_set_ui(self._mpc, 0, gmp.MPC_RNDNN)
elif isinstance(args[0], str): # unicode?
# First argument is a string
if nargs == 1:
prec, base = 0, 10
elif nargs == 2:
prec, base = args[1], 10
elif nargs == 3:
prec, base = args[1], args[2]
else:
raise TypeError("function takes at most 3 arguments (4 given)")
prec = _check_prec(prec)
self._mpc = ffi.gc(_new_mpc(prec), _del_mpc)
_str_to_mpc(args[0], base, self._mpc)
elif isinstance(args[0], (mpc, complex)):
# First argument is complex
if nargs == 1:
prec = (0, 0)
elif nargs == 2:
prec = _check_prec(args[1])
else:
raise TypeError("function takes at most 2 arguments (3 given)")
self._mpc = ffi.gc(_new_mpc(prec), _del_mpc)
if isinstance(args[0], mpc):
gmp.mpc_set(self._mpc, args[0]._mpc, gmp.MPC_RNDNN)
elif isinstance(args[0], complex):
gmp.mpc_set_d_d(self._mpc, args[0].real, args[0].imag, gmp.MPC_RNDNN)
elif isinstance(args[0], (mpfr, mpq, mpz, float, int, long)):
# First argument is real
if nargs <= 2:
prec = (0, 0)
elif nargs == 3:
prec = _check_prec(args[2])
else:
raise TypeError("function takes at most 3 arguments (4 given)")
self._mpc = ffi.gc(_new_mpc(prec), _del_mpc)
realref = gmp.mpc_realref(self._mpc)
imagref = gmp.mpc_imagref(self._mpc)
if isinstance(args[0], mpfr):
gmp.mpfr_set(realref, args[0]._mpfr, gmp.MPFR_RNDN)
elif isinstance(args[0], mpz):
gmp.mpfr_set_z(realref, args[0]._mpz, gmp.MPFR_RNDN)
elif isinstance(args[0], mpq):
gmp.mpfr_set_q(realref, args[0]._mpq, gmp.MPFR_RNDN)
elif isinstance(args[0], float):
gmp.mpfr_set_d(realref, args[0], gmp.MPFR_RNDN)
elif isinstance(args[0], (int, long)):
_pyint_to_mpfr(args[0], realref)
if nargs >= 2:
# Check if second argument is real
if isinstance(args[1], mpfr):
gmp.mpfr_set(imagref, args[1]._mpfr, gmp.MPFR_RNDN)
elif isinstance(args[1], mpz):
gmp.mpfr_set_z(imagref, args[1]._mpz, gmp.MPFR_RNDN)
elif isinstance(args[1], mpq):
gmp.mpfr_set_q(imagref, args[1]._mpq, gmp.MPFR_RNDN)
elif isinstance(args[1], float):
gmp.mpfr_set_d(imagref, args[1], gmp.MPFR_RNDN)
elif isinstance(args[1], (int, long)):
_pyint_to_mpfr(args[1], imagref)
else:
raise TypeError("invalid type for imaginary component in mpc()")
else:
gmp.mpfr_set_ui(imagref, 0, gmp.MPFR_RNDN)
else:
raise TypeError("mpc() requires numeric or string argument")