Python numbers.Complex() Examples

def _f90repr(self, value):
        """Convert primitive Python types to equivalent Fortran strings."""
        if isinstance(value, bool):
            return self._f90bool(value)
        elif isinstance(value, numbers.Integral):
            return self._f90int(value)
        elif isinstance(value, numbers.Real):
            return self._f90float(value)
        elif isinstance(value, numbers.Complex):
            return self._f90complex(value)
        elif isinstance(value, basestring):
            return self._f90str(value)
        elif value is None:
            return ''
        else:
            raise ValueError('Type {0} of {1} cannot be converted to a Fortran'
                             ' type.'.format(type(value), value)) 

def __eq__(a, b):
        """a == b"""
        if isinstance(b, Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def __eq__(a, b):
        """a == b"""
        if isinstance(b, Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def as_str_any(value):
  """Converts to `str` as `str(value)`, but use `as_str` for `bytes`.

  Args:
    value: A object that can be converted to `str`.

  Returns:
    A `str` object.
  """
  if isinstance(value, bytes):
    return as_str(value)
  else:
    return str(value)


# Numpy 1.8 scalars don't inherit from numbers.Integral in Python 3, so we
# need to check them specifically.  The same goes from Real and Complex. 

def __eq__(a, b):
        """a == b"""
        if isinstance(b, Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def __eq__(a, b):
        """a == b"""
        if isinstance(b, Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def as_str_any(value):
  """Converts to `str` as `str(value)`, but use `as_str` for `bytes`.

  Args:
    value: A object that can be converted to `str`.

  Returns:
    A `str` object.
  """
  if isinstance(value, bytes):
    return as_str(value)
  else:
    return str(value)


# Numpy 1.8 scalars don't inherit from numbers.Integral in Python 3, so we
# need to check them specifically.  The same goes from Real and Complex. 

def __eq__(a, b):
        """a == b"""
        if isinstance(b, Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def __eq__(a, b):
        """a == b"""
        if isinstance(b, Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def set_input_value(self, name: str, value):
        # support lists here?
        if isinstance(value, (str, bool, numbers.Integral, numbers.Real, numbers.Complex)):
            self.__computation.set_input_value(name, value)
        if isinstance(value, dict) and value.get("object"):
            object = value.get("object")
            object_type = value.get("type")
            if object_type == "data_source":
                document_model = self.__computation.container.container.container.container
                display_item = document_model.get_display_item_for_data_item(object._data_item)
                display_data_channel = display_item.display_data_channel
                input_value = Symbolic.make_item(display_data_channel)
            else:
                input_value = Symbolic.make_item(object._item)
            self.__computation.set_input_item(name, input_value)
        elif hasattr(value, "_item"):
            input_value = Symbolic.make_item(value._item)
            self.__computation.set_input_item(name, input_value) 

def __eq__(a, b):
        """a == b"""
        if isinstance(b, Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def __eq__(a, b):
        """a == b"""
        if type(b) is int:
            return a._numerator == b and a._denominator == 1
        if isinstance(b, numbers.Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def __eq__(a, b):
        """a == b"""
        if type(b) is int:
            return a._numerator == b and a._denominator == 1
        if isinstance(b, numbers.Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def __eq__(a, b):
        """a == b"""
        if type(b) is int:
            return a._numerator == b and a._denominator == 1
        if isinstance(b, numbers.Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def __eq__(a, b):
        """a == b"""
        if isinstance(b, numbers.Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def __eq__(a, b):
        """a == b"""
        if isinstance(b, numbers.Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def __eq__(a, b):
        """a == b"""
        if type(b) is int:
            return a._numerator == b and a._denominator == 1
        if isinstance(b, numbers.Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def complex_check(*args, stacklevel=2):
    """Check if arguments are *complex numbers* (``complex``).

    Args:
        *args: Arguments to check.
        stacklevel (int): Stack level to fetch originated function name.

    Raises:
        ComplexError: If any of the arguments is **NOT** *complex number* (``complex``).

    """
    for var in args:
        if not isinstance(var, numbers.Complex):
            name = type(var).__name__
            func = inspect.stack()[stacklevel][3]
            raise ComplexError(f'Function {func} expected complex number, {name} got instead.') 

def __eq__(a, b):
        """a == b"""
        if type(b) is int:
            return a._numerator == b and a._denominator == 1
        if isinstance(b, numbers.Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def as_str_any(value):
  """Converts to `str` as `str(value)`, but use `as_str` for `bytes`.

  Args:
    value: A object that can be converted to `str`.

  Returns:
    A `str` object.
  """
  if isinstance(value, bytes):
    return as_str(value)
  else:
    return str(value)


# Numpy 1.8 scalars don't inherit from numbers.Integral in Python 3, so we
# need to check them specifically.  The same goes from Real and Complex. 

def __eq__(a, b):
        """a == b"""
        if isinstance(b, Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def path_to_str(path):
    """Returns the file system path representation of a `PathLike` object, else
    as it is.

    Args:
    path: An object that can be converted to path representation.

    Returns:
    A `str` object.
    """
    if hasattr(path, "__fspath__"):
        path = as_str_any(path.__fspath__())
    return path


# Numpy 1.8 scalars don't inherit from numbers.Integral in Python 3, so we
# need to check them specifically.  The same goes from Real and Complex. 

def __eq__(a, b):
        """a == b"""
        if isinstance(b, Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def __eq__(a, b):
        """a == b"""
        if isinstance(b, Rational):
            return (a._numerator == b.numerator and
                    a._denominator == b.denominator)
        if isinstance(b, numbers.Complex) and b.imag == 0:
            b = b.real
        if isinstance(b, float):
            if math.isnan(b) or math.isinf(b):
                # comparisons with an infinity or nan should behave in
                # the same way for any finite a, so treat a as zero.
                return 0.0 == b
            else:
                return a == a.from_float(b)
        else:
            # Since a doesn't know how to compare with b, let's give b
            # a chance to compare itself with a.
            return NotImplemented 

def __imul__(self, other: PauliSumLike):
        if not isinstance(other, (numbers.Complex, PauliString, PauliSum)):
            return NotImplemented
        if isinstance(other, numbers.Complex):
            self._linear_dict *= other
        elif isinstance(other, PauliString):
            temp = PauliSum.from_pauli_strings([term * other for term in self])
            self._linear_dict = temp._linear_dict
        elif isinstance(other, PauliSum):
            temp = PauliSum.from_pauli_strings(
                [term * other_term for term in self for other_term in other])
            self._linear_dict = temp._linear_dict

        return self 

def is_zero(pauli_object: PauliDesignator) -> bool:
    """
    Tests to see if a PauliTerm or PauliSum is zero.

    :param pauli_object: Either a PauliTerm or PauliSum
    :returns: True if PauliTerm is zero, False otherwise
    """
    if isinstance(pauli_object, PauliTerm):
        assert isinstance(pauli_object.coefficient, Complex)
        return bool(np.isclose(pauli_object.coefficient, 0))
    elif isinstance(pauli_object, PauliSum):
        assert isinstance(pauli_object.terms[0].coefficient, Complex)
        return len(pauli_object.terms) == 1 and np.isclose(pauli_object.terms[0].coefficient, 0)
    else:
        raise TypeError("is_zero only checks PauliTerms and PauliSum objects!") 

def __add__(self, other: Any) -> 'Pauli':
        if isinstance(other, Complex):
            other = Pauli.scalar(complex(other))
        return pauli_sum(self, other) 

def __rmul__(self, other: PauliSumLike):
        if isinstance(other, numbers.Complex):
            result = self.copy()
            result *= other
            return result
        elif isinstance(other, PauliString):
            result = self.copy()
            return PauliSum.from_pauli_strings([other]) * result
        return NotImplemented 

def __sub__(self, other):
        if not isinstance(other, (numbers.Complex, PauliString, PauliSum)):
            return NotImplemented
        result = self.copy()
        result -= other
        return result 

def __isub__(self, other):
        if isinstance(other, numbers.Complex):
            other = PauliSum.from_pauli_strings(
                [PauliString(coefficient=other)])
        if isinstance(other, PauliString):
            other = PauliSum.from_pauli_strings([other])

        if not isinstance(other, PauliSum):
            return NotImplemented

        self._linear_dict -= other._linear_dict
        return self