@@ -247,14 +247,15 @@ cdef class LinearFunctionOrConstraint(ModuleElement):
247247 ::
248248
249249 sage: p = MixedIntegerLinearProgram()
250+ sage: LF = p.linear_functions_parent()
250251 sage: from sage.numerical.linear_functions import LinearFunction
251- sage: p ({2 : 5, 3 : 2}) <= p ({2 : 3, 9 : 2})
252+ sage: LF ({2 : 5, 3 : 2}) <= LF ({2 : 3, 9 : 2})
252253 5*x_2 + 2*x_3 <= 3*x_2 + 2*x_9
253254
254- sage: p ({2 : 5, 3 : 2}) >= p ({2 : 3, 9 : 2})
255+ sage: LF ({2 : 5, 3 : 2}) >= LF ({2 : 3, 9 : 2})
255256 3*x_2 + 2*x_9 <= 5*x_2 + 2*x_3
256257
257- sage: p ({2 : 5, 3 : 2}) == p ({2 : 3, 9 : 2})
258+ sage: LF ({2 : 5, 3 : 2}) == LF ({2 : 3, 9 : 2})
258259 5*x_2 + 2*x_3 == 3*x_2 + 2*x_9
259260
260261 We can chain multiple (in)equalities::
@@ -304,8 +305,9 @@ cdef class LinearFunctionOrConstraint(ModuleElement):
304305 TESTS::
305306
306307 sage: p.<x> = MixedIntegerLinearProgram()
308+ sage: LF = p.linear_functions_parent()
307309 sage: cm = sage.structure.element.get_coercion_model()
308- sage: cm.explain(10, p (1), operator.le)
310+ sage: cm.explain(10, LF (1), operator.le)
309311 Coercion on left operand via
310312 Conversion map:
311313 From: Integer Ring
@@ -455,7 +457,8 @@ cdef class LinearFunctionOrConstraint(ModuleElement):
455457 EXAMPLES::
456458
457459 sage: p = MixedIntegerLinearProgram( )
458- sage: f = p( {2 : 5, 3 : 2})
460+ sage: LF = p. linear_functions_parent( )
461+ sage: f = LF( {2 : 5, 3 : 2})
459462 sage: f. __hash__( ) # random output
460463 103987752
461464 sage: d = {}
@@ -471,7 +474,8 @@ cdef class LinearFunctionOrConstraint(ModuleElement):
471474 EXAMPLES::
472475
473476 sage: p = MixedIntegerLinearProgram()
474- sage: f = p({2 : 5, 3 : 2})
477+ sage: LF = p.linear_functions_parent()
478+ sage: f = LF({2 : 5, 3 : 2})
475479 sage: cmp(f, f)
476480 0
477481 sage: abs(cmp(f, f+0)) # since we are comparing by id()
@@ -665,6 +669,7 @@ cdef class LinearFunctionsParent_class(Parent):
665669 sage: LF._element_constructor_(123)
666670 123
667671 sage: p(123) # indirect doctest
672+ doctest:...: DeprecationWarning: ...
668673 123
669674 sage: type(_)
670675 <type 'sage.numerical.linear_functions.LinearFunction'>
@@ -749,19 +754,13 @@ cdef class LinearFunction(LinearFunctionOrConstraint):
749754
750755 You should never instantiate :class:`LinearFunction`
751756 manually. Use the element constructor in the parent
752- instead. For convenience, you can also call the
753- :class:`MixedIntegerLinearProgram` instance directly.
757+ instead.
754758
755759 EXAMPLES:
756760
757761 For example, do this::
758762
759763 sage: p = MixedIntegerLinearProgram( )
760- sage: p( {0 : 1, 3 : -8})
761- x_0 - 8* x_3
762-
763- or this::
764-
765764 sage: parent = p. linear_functions_parent( )
766765 sage: parent( {0 : 1, 3 : -8})
767766 x_0 - 8* x_3
@@ -787,13 +786,15 @@ cdef class LinearFunction(LinearFunctionOrConstraint):
787786 With a dictionary::
788787
789788 sage: p = MixedIntegerLinearProgram( )
790- sage: p( {0 : 1, 3 : -8})
789+ sage: LF = p. linear_functions_parent( )
790+ sage: LF( {0 : 1, 3 : -8})
791791 x_0 - 8* x_3
792792
793793 Using the constructor with a numerical value::
794794
795795 sage: p = MixedIntegerLinearProgram( )
796- sage: p( 25)
796+ sage: LF = p. linear_functions_parent( )
797+ sage: LF( 25)
797798 25
798799 """
799800 ModuleElement.__init__ (self , parent)
@@ -840,7 +841,8 @@ cdef class LinearFunction(LinearFunctionOrConstraint):
840841 EXAMPLE::
841842
842843 sage: p = MixedIntegerLinearProgram( )
843- sage: lf = p( {0 : 1, 3 : -8})
844+ sage: LF = p. linear_functions_parent( )
845+ sage: lf = LF( {0 : 1, 3 : -8})
844846 sage: lf. dict( )
845847 {0: 1. 0, 3: -8. 0}
846848 """
@@ -912,7 +914,8 @@ cdef class LinearFunction(LinearFunctionOrConstraint):
912914 EXAMPLE::
913915
914916 sage: p = MixedIntegerLinearProgram( )
915- sage: p( {0 : 1, 3 : -8}) + p( {2 : 5, 3 : 2}) - 16
917+ sage: LF = p. linear_functions_parent( )
918+ sage: LF( {0 : 1, 3 : -8}) + LF( {2 : 5, 3 : 2}) - 16
916919 -16 + x_0 + 5* x_2 - 6* x_3
917920 """
918921 e = dict (self ._f)
@@ -928,7 +931,8 @@ cdef class LinearFunction(LinearFunctionOrConstraint):
928931 EXAMPLE::
929932
930933 sage: p = MixedIntegerLinearProgram( )
931- sage: - p( {0 : 1, 3 : -8})
934+ sage: LF = p. linear_functions_parent( )
935+ sage: - LF( {0 : 1, 3 : -8})
932936 -1* x_0 + 8* x_3
933937 """
934938 P = self .parent()
@@ -941,9 +945,10 @@ cdef class LinearFunction(LinearFunctionOrConstraint):
941945 EXAMPLE::
942946
943947 sage: p = MixedIntegerLinearProgram( )
944- sage: p( {2 : 5, 3 : 2}) - 3
948+ sage: LF = p. linear_functions_parent( )
949+ sage: LF( {2 : 5, 3 : 2}) - 3
945950 -3 + 5* x_2 + 2* x_3
946- sage: p ( {0 : 1, 3 : -8}) - p ( {2 : 5, 3 : 2}) - 16
951+ sage: LF ( {0 : 1, 3 : -8}) - LF ( {2 : 5, 3 : 2}) - 16
947952 -16 + x_0 - 5* x_2 - 10* x_3
948953 """
949954 e = dict (self ._f)
@@ -959,7 +964,8 @@ cdef class LinearFunction(LinearFunctionOrConstraint):
959964 EXAMPLE::
960965
961966 sage: p = MixedIntegerLinearProgram( )
962- sage: p( {2 : 5, 3 : 2}) * 3
967+ sage: LF = p. linear_functions_parent( )
968+ sage: LF( {2 : 5, 3 : 2}) * 3
963969 15* x_2 + 6* x_3
964970 """
965971 P = self .parent()
@@ -972,7 +978,8 @@ cdef class LinearFunction(LinearFunctionOrConstraint):
972978 EXAMPLE::
973979
974980 sage: p = MixedIntegerLinearProgram( )
975- sage: 3 * p( {2 : 5, 3 : 2})
981+ sage: LF = p. linear_functions_parent( )
982+ sage: 3 * LF( {2 : 5, 3 : 2})
976983 15* x_2 + 6* x_3
977984 """
978985 return self ._rmul_(b)
@@ -1094,10 +1101,12 @@ cdef class LinearFunction(LinearFunctionOrConstraint):
10941101 EXAMPLE::
10951102
10961103 sage: p = MixedIntegerLinearProgram( solver='GLPK')
1097- sage: p( {-1: -15, 2 : -5. 1, 3 : 2/3})
1104+ sage: LF = p. linear_functions_parent( )
1105+ sage: LF( {-1: -15, 2 : -5. 1, 3 : 2/3})
10981106 -15 - 5. 1* x_2 + 0. 666666666667* x_3
10991107 sage: p = MixedIntegerLinearProgram( solver='ppl')
1100- sage: p( {-1: -15, 2 : -5. 1, 3 : 2/3})
1108+ sage: LF = p. linear_functions_parent( )
1109+ sage: LF( {-1: -15, 2 : -5. 1, 3 : 2/3})
11011110 -15 - 51/10* x_2 + 2/3* x_3
11021111 """
11031112 cdef dict d = dict (self ._f)
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