X-Git-Url: https://scm.cri.ensmp.fr/git/linpy.git/blobdiff_plain/e50b2facb441d96febf17a6210370489bbcb9dbf..960f0c252361dfd696359f803aae40a9b13b14a6:/doc/domain.rst diff --git a/doc/domain.rst b/doc/domain.rst index 7098c32..4cd79d9 100644 --- a/doc/domain.rst +++ b/doc/domain.rst @@ -3,155 +3,148 @@ Domains Module .. py:class :: Domain - The properties of a domain can be are found using the following + The properties of a domain can be are found using the following .. py:method:: symbols - + Returns a tuple of the symbols that exsist in a domain. .. py:method:: dimension - + Returns the number of variables that exist in a domain. .. py:method:: disjoint - + Returns a domain as disjoint. - - .. py:method:: num_parameters - - Returns the total number of parameters, input, output or dimensions in a domain. - - .. py:method:: involves_dims(self, dims) - - Returns ``True`` if a domain depends on the given dimensions. - - The unary properties of a domain can be inspected using the following methods. - + + .. py:method:: involves_vars(self, dims) + + Returns ``True`` if a domain depends on the given dimensions. + + The unary properties of a domain can be inspected using the following methods. + .. py:method:: isempty(self) - + Return ``True`` is a domain is empty. - + .. py:method:: isuniverse(self) - + Return ``True`` if a domain is the Universe set. - + .. py:method:: isbounded(self) - - Return ``True`` if a domain is bounded. + + Return ``True`` if a domain is bounded. .. py:method:: disjoint(self) - + It is not guarenteed that a domain is disjoint. If it is necessary, this method will return a domain as disjoint. The following methods compare two domains to find the binary properties. .. py:method:: isdisjoint(self, other) - + Return ``True`` if the intersection of *self* and *other* results in an empty set. - + .. py:method:: issubset(self, other) - + Test whether every element in a domain is in *other*. .. py:method:: __eq__(self, other) self == other - - Test whether a domain is equal to *other*. - + + Test whether a domain is equal to *other*. + .. py:method:: __lt__(self, other) self < other - - Test whether a domain is a strict subset of *other*. - + + Test whether a domain is a strict subset of *other*. + .. py:method:: __le__(self, other) self <= other - - Test whether every element in a domain is in *other*. - + + Test whether every element in a domain is in *other*. + .. py:method:: __gt__(self, other) self > other - - Test whether a domain is a strict superset of *other*. - + + Test whether a domain is a strict superset of *other*. + .. py:method:: __ge__(self, other) self >= other - + Test whether every element in *other* is in a domain. - - The following methods implement unary operations on a domain. + + The following methods implement unary operations on a domain. .. py:method:: complement(self) ¬self - - Return the complement of a domain. - + + Return the complement of a domain. + .. py:method:: simplify(self) Return a new domain without any redundant constraints. .. py:method:: project(self, dims) - + Return a new domain with the given dimensions removed. .. py:method:: aspolyhedron(self) - - Return polyhedral hull of a domain. - + + Return polyhedral hull of a domain. + .. py:method:: sample(self) - + Return a single sample subset of a domain. - The following methods implement binary operations on two domains. + The following methods implement binary operations on two domains. .. py:method:: intersection(self, other) self | other - - Return a new domain with the elements that are common between *self* and *other*. + + Return a new domain with the elements that are common between *self* and *other*. .. py:method:: union(self, other) self & other - - Return a new domain with all the elements from *self* and *other*. - + + Return a new domain with all the elements from *self* and *other*. + .. py:method:: difference(self, other) self - other - - Return a new domain with the elements in a domain that are not in *other* . - + + Return a new domain with the elements in a domain that are not in *other* . + .. py:method:: __add__(self, other) self + other - - Return the sum of two domains. - + + Return the sum of two domains. + The following methods use lexicographical ordering to find the maximum or minimum element in a domain. .. py:method:: lexmin(self) - - Return a new set containing the lexicographic minimum of the elements in the set. - + + Return a new set containing the lexicographic minimum of the elements in the set. + .. py:method:: lexmax(self) - - Return a new set containing the lexicographic maximum of the elements in the set. - - A 2D or 3D domain can be plotted using the :meth:`plot` function. The points, verticies, and faces of a domain can be inspected using the following functions. + Return a new set containing the lexicographic maximum of the elements in the set. + + + A 2D or 3D domain can be plotted using the :meth:`plot` function. The points, verticies, and faces of a domain can be inspected using the following functions. .. py:method:: points(self) - + Return a list of the points contained in a domain as :class:`Points` objects. .. py:method:: vertices(self) - + Return a list of the verticies of a domain. - + .. py:method:: faces(self) - + Return a list of the vertices for each face of a domain. - + .. py:method:: plot(self, plot=None, **kwargs) - - Return a plot of the given domain. - - - + + Return a plot of the given domain.