X-Git-Url: https://svn.cri.ensmp.fr/git/linpy.git/blobdiff_plain/25ce908cffca380f930182a77c1e5a4491042a1c..d9ce6feb2d36e40e83326744f1d4ff3890d1874f:/doc/domain.rst diff --git a/doc/domain.rst b/doc/domain.rst index 217acba..7098c32 100644 --- a/doc/domain.rst +++ b/doc/domain.rst @@ -3,138 +3,128 @@ Domains Module .. py:class :: Domain - .. py:method:: polyhedra(self) - - Return . - -Domain Properties ------------------ - .. py:method:: symbols(self) + The properties of a domain can be are found using the following + + .. py:method:: symbols - Returns a list of the symbols used in a set. + Returns a tuple of the symbols that exsist in a domain. - .. py:method:: dimension(self) + .. py:method:: dimension - Returns the number of variables in a set. + Returns the number of variables that exist in a domain. - .. py:method:: disjoint(self) + .. py:method:: disjoint - Returns a set as disjoint. + Returns a domain as disjoint. - .. py:method:: num_parameters(self) + .. py:method:: num_parameters - Returns the total number of parameters, input, output or set dimensions. + Returns the total number of parameters, input, output or dimensions in a domain. .. py:method:: involves_dims(self, dims) - Returns true if set depends on given dimensions. + Returns ``True`` if a domain depends on the given dimensions. -Unary Properties ----------------- + The unary properties of a domain can be inspected using the following methods. + .. 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. + It is not guarenteed that a domain is disjoint. If it is necessary, this method will return a domain as disjoint. -Binary Properties ------------------ + 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) + self >= other - Return true if 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) + ¬self - Return the complement of a set. + 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. + Return polyhedral hull of a domain. - .. py:method:: asdomain(self) - - Return - .. py:method:: sample(self) - Return a single sample subset of a set. + Return a single sample subset of a domain. -Binary Operations ------------------ + The following methods implement binary operations on two domains. - .. py:method:: intersection(self) + .. py:method:: intersection(self, other) + self | other - Return the intersection of two sets as a new set. + Return a new domain with the elements that are common between *self* and *other*. - .. py:method:: union(self) + .. py:method:: union(self, other) + self & other - 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 a new domain with all the elements from *self* and *other*. + + .. py:method:: difference(self, other) + self - other - Return the intersection of two sets as a new set. - + 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 sets. - - .. py:method:: difference(self, other) - - Return the difference of two sets. - -Lexiographic Operations ------------------------ + 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) @@ -144,24 +134,24 @@ Lexiographic Operations Return a new set containing the lexicographic maximum of the elements in the set. -Plot Properties ---------------- + + 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.