From b2931230a184025bdb6006bfe48c9b1dc18dc351 Mon Sep 17 00:00:00 2001 From: Vivien Maisonneuve Date: Wed, 20 Aug 2014 14:01:19 +0200 Subject: [PATCH] Update docstrings to reflect documentation changes --- linpy/domains.py | 21 +++++++++++---------- linpy/linexprs.py | 10 +++++++--- linpy/polyhedra.py | 17 ++++++++++------- 3 files changed, 28 insertions(+), 20 deletions(-) diff --git a/linpy/domains.py b/linpy/domains.py index 581a065..1f7a190 100644 --- a/linpy/domains.py +++ b/linpy/domains.py @@ -54,22 +54,23 @@ class Domain(GeometricObject): """ Return a domain from a sequence of polyhedra. - >>> square = Polyhedron('0 <= x <= 2, 0 <= y <= 2') - >>> square2 = Polyhedron('2 <= x <= 4, 2 <= y <= 4') - >>> dom = Domain([square, square2]) + >>> square1 = Polyhedron('0 <= x <= 2, 0 <= y <= 2') + >>> square2 = Polyhedron('1 <= x <= 3, 1 <= y <= 3') + >>> dom = Domain(square1, square2) + >>> dom + Or(And(x <= 2, 0 <= x, y <= 2, 0 <= y), + And(x <= 3, 1 <= x, y <= 3, 1 <= y)) It is also possible to build domains from polyhedra using arithmetic - operators Domain.__and__(), Domain.__or__() or functions And() and Or(), - using one of the following instructions: + operators Domain.__or__(), Domain.__invert__() or functions Or() and + Not(), using one of the following instructions: - >>> square = Polyhedron('0 <= x <= 2, 0 <= y <= 2') - >>> square2 = Polyhedron('2 <= x <= 4, 2 <= y <= 4') - >>> dom = square | square2 - >>> dom = Or(square, square2) + >>> dom = square1 | square2 + >>> dom = Or(square1, square2) Alternatively, a domain can be built from a string: - >>> dom = Domain('0 <= x <= 2, 0 <= y <= 2; 2 <= x <= 4, 2 <= y <= 4') + >>> dom = Domain('0 <= x <= 2, 0 <= y <= 2; 1 <= x <= 3, 1 <= y <= 3') Finally, a domain can be built from a GeometricObject instance, calling the GeometricObject.asdomain() method. diff --git a/linpy/linexprs.py b/linpy/linexprs.py index a0be583..eff4a7e 100644 --- a/linpy/linexprs.py +++ b/linpy/linexprs.py @@ -62,7 +62,7 @@ class LinExpr: symbols to their coefficients, and a constant term. The coefficients and the constant term must be rational numbers. - For example, the linear expression x + 2y + 1 can be constructed using + For example, the linear expression x + 2*y + 1 can be constructed using one of the following instructions: >>> x, y = symbols('x y') @@ -76,7 +76,7 @@ class LinExpr: Alternatively, linear expressions can be constructed from a string: - >>> LinExpr('x + 2*y + 1') + >>> LinExpr('x + 2y + 1') A linear expression with a single symbol of coefficient 1 and no constant term is automatically subclassed as a Symbol instance. A linear @@ -245,7 +245,11 @@ class LinExpr: @_polymorphic def __eq__(self, other): """ - Test whether two linear expressions are equal. + Test whether two linear expressions are equal. Unlike methods + LinExpr.__lt__(), LinExpr.__le__(), LinExpr.__ge__(), LinExpr.__gt__(), + the result is a boolean value, not a polyhedron. To express that two + linear expressions are equal or not equal, use functions Eq() and Ne() + instead. """ return self._coefficients == other._coefficients and \ self._constant == other._constant diff --git a/linpy/polyhedra.py b/linpy/polyhedra.py index bfc7efe..4d7d1f3 100644 --- a/linpy/polyhedra.py +++ b/linpy/polyhedra.py @@ -56,28 +56,31 @@ class Polyhedron(Domain): 0 <= x <= 2, 0 <= y <= 2 can be constructed with: >>> x, y = symbols('x y') - >>> square = Polyhedron([], [x, 2 - x, y, 2 - y]) + >>> square1 = Polyhedron([], [x, 2 - x, y, 2 - y]) + >>> square1 + And(0 <= x, x <= 2, 0 <= y, y <= 2) It may be easier to use comparison operators LinExpr.__lt__(), LinExpr.__le__(), LinExpr.__ge__(), LinExpr.__gt__(), or functions Lt(), Le(), Eq(), Ge() and Gt(), using one of the following instructions: >>> x, y = symbols('x y') - >>> square = (0 <= x) & (x <= 2) & (0 <= y) & (y <= 2) - >>> square = Le(0, x, 2) & Le(0, y, 2) + >>> square1 = (0 <= x) & (x <= 2) & (0 <= y) & (y <= 2) + >>> square1 = Le(0, x, 2) & Le(0, y, 2) It is also possible to build a polyhedron from a string. - >>> square = Polyhedron('0 <= x <= 2, 0 <= y <= 2') + >>> square1 = Polyhedron('0 <= x <= 2, 0 <= y <= 2') Finally, a polyhedron can be constructed from a GeometricObject instance, calling the GeometricObject.aspolyedron() method. This way, it is possible to compute the polyhedral hull of a Domain instance, i.e., the convex hull of two polyhedra: - >>> square = Polyhedron('0 <= x <= 2, 0 <= y <= 2') - >>> square2 = Polyhedron('2 <= x <= 4, 2 <= y <= 4') - >>> Polyhedron(square | square2) + >>> square1 = Polyhedron('0 <= x <= 2, 0 <= y <= 2') + >>> square2 = Polyhedron('1 <= x <= 3, 1 <= y <= 3') + >>> Polyhedron(square1 | square2) + And(0 <= x, 0 <= y, x <= y + 2, y <= x + 2, x <= 3, y <= 3) """ if isinstance(equalities, str): if inequalities is not None: -- 2.20.1