X-Git-Url: https://scm.cri.ensmp.fr/git/linpy.git/blobdiff_plain/25ce908cffca380f930182a77c1e5a4491042a1c..960f0c252361dfd696359f803aae40a9b13b14a6:/doc/domain.rst?ds=sidebyside diff --git a/doc/domain.rst b/doc/domain.rst index 217acba..4cd79d9 100644 --- a/doc/domain.rst +++ b/doc/domain.rst @@ -3,165 +3,148 @@ Domains Module .. py:class :: Domain - .. py:method:: polyhedra(self) - - Return . - -Domain Properties ------------------ - .. py:method:: symbols(self) - - Returns a list of the symbols used in a set. - - .. py:method:: dimension(self) - - Returns the number of variables in a set. + 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:: 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:: disjoint(self) - - Returns a set as disjoint. - - .. py:method:: num_parameters(self) - - Returns the total number of parameters, input, output or set dimensions. - - .. py:method:: involves_dims(self, dims) - - Returns true if set depends on given dimensions. - -Unary Properties ----------------- .. py:method:: isempty(self) - - Return true is set is an Empty set. - + + Return ``True`` is a domain is empty. + .. py:method:: isuniverse(self) - - Return true if set is the Universe set. - + + Return ``True`` if a domain is the Universe set. + .. py:method:: isbounded(self) - - Return true if set is bounded + + Return ``True`` if a domain is bounded. .. py:method:: disjoint(self) - - Returns this set as a disjoint set. -Binary Properties ------------------ + 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 two sets results in an Empty set. - + + Return ``True`` if the intersection of *self* and *other* results in an empty set. + .. py:method:: issubset(self, other) - - Returns true if one set contains the other set. + + Test whether every element in a domain is in *other*. .. py:method:: __eq__(self, other) - - Return true if self == other. - + self == other + + Test whether a domain is equal to *other*. + .. py:method:: __lt__(self, other) - - Return true if self < other. - + self < other + + Test whether a domain is a strict subset of *other*. + .. py:method:: __le__(self, other) - - Return true if self <= other. - + self <= other + + Test whether every element in a domain is in *other*. + .. py:method:: __gt__(self, other) - - Return true if self > other. - + self > other + + Test whether a domain is a strict superset of *other*. + .. py:method:: __ge__(self, other) - - Return true if self >= other. - + self >= other + + Test whether every element in *other* is in a domain. -Unary Operations ----------------- + + The following methods implement unary operations on a domain. .. py:method:: complement(self) - - Return the complement of a set. - + ¬self + + Return the complement of a domain. + .. py:method:: simplify(self) - Removes redundant constraints from a set. + Return a new domain without any redundant constraints. .. py:method:: project(self, dims) - - Return a new set with the given dimensions removed. + + Return a new domain with the given dimensions removed. .. py:method:: aspolyhedron(self) - - Return polyhedral hull of a set. - - .. py:method:: asdomain(self) - - Return + + Return polyhedral hull of a domain. .. py:method:: sample(self) - - Return a single sample subset of a set. - -Binary Operations ------------------ - - .. py:method:: intersection(self) - - Return the intersection of two sets as a new set. - - .. py:method:: union(self) - - Return the union of two sets as a new set. - - .. py:method:: __and__(self, other) - - Return the union of two sets as a new set. - - .. py:method:: __or__(self, other) - - Return the intersection of two sets as a new set. - - .. py:method:: __add__(self, other) - - Return the sum of two sets. + + Return a single sample subset of a domain. + + 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*. + + .. py:method:: union(self, other) + self & other + + Return a new domain with all the elements from *self* and *other*. .. py:method:: difference(self, other) - - Return the difference of two sets. + self - other + + Return a new domain with the elements in a domain that are not in *other* . -Lexiographic Operations ------------------------ + .. py:method:: __add__(self, other) + self + other + + 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. - -Plot Properties ---------------- + + 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 set. + + 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 this set. - + + Return a list of the verticies of a domain. + .. py:method:: faces(self) - - Return a list of the vertices for each face of a set. - + + 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 set. - - - + + Return a plot of the given domain.