hysop.symbolic.spectral module

class hysop.symbolic.spectral.AppliedSpectralTransform(*args)

Bases: AppliedSymbolicField

An applied spectral transform.

__eq__(other)

Fix sympy v1.2 eq

__ne__(other)

Fix sympy v1.2 neq

property all_vars

default_assumptions: ClassVar[StdFactKB] = {}

property domain

property dtype

property field

format_transforms()

property frame

free_symbols = {}

property freq_vars

property is_forward

property is_number

bool(x) -> bool

Returns True when the argument x is true, False otherwise. The builtins True and False are the only two instances of the class bool. The class bool is a subclass of the class int, and cannot be subclassed.

property lboundaries

long_description()

name: str

property rboundaries

short_description()

property space_vars

property spatial_axes

property transformed_axes

property transforms

property wave_numbers

class hysop.symbolic.spectral.SpectralTransform(field, axes=None, forward=True)

Bases: SymbolicField

A single spectral transform that may be applied. This object can also be used as am sympy expression (and a FieldExpression).

This expression carries datatype and boundary conditions.

__eq__(other)

Fix sympy v1.2 eq

__hash__()

Fix sympy v1.2 hashes

__ne__(other)

Fix sympy v1.2 neq

classmethod generate_wave_numbers(transforms)

class hysop.symbolic.spectral.WaveNumber(axis, transform, exponent, **kwds)

Bases: Dummy

Wave number symbol for SpectralTransform derivatives (and integrals).

Symbols are identified by name and assumptions:

>>> from sympy import Symbol
>>> Symbol("x") == Symbol("x")

True >>> Symbol(“x”, real=True) == Symbol(“x”, real=False) False

property axis

default_assumptions: ClassVar[StdFactKB] = {}

dummy_index

property exponent

indexed_buffer(name=None)

property is_complex

property is_real

pow(exponent)

property transform

class hysop.symbolic.spectral.WaveNumberIndex(axis)

Bases: Symbol

Symbols are identified by name and assumptions:

>>> from sympy import Symbol
>>> Symbol("x") == Symbol("x")

True >>> Symbol(“x”, real=True) == Symbol(“x”, real=False) False

bind_axes(axes)

default_assumptions: ClassVar[StdFactKB] = {}

name: str

property real_index