X-Git-Url: https://scm.cri.ensmp.fr/git/linpy.git/blobdiff_plain/454a26a54cc7ff563ab278567f3bbad9c6ff42bb..a08ebc700e22f6aee8147cb5b5323a6c040b12db:/doc/linexpr.rst

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-Linear Expression Module
-========================
-
-This class implements linear expressions. A linear expression is….
-
-.. py:class:: Expression
-    
-    .. py:method:: __new__(cls, coefficients=None, constant=0)
-        
-        Create and return a new linear expression from a string or a list of coefficients and a constant.
-        
-    .. py:method:: coefficient(self, symbol)
-        
-        Return the coefficient value of the given symbol.
-        
-    .. py:method:: coefficients(self)
-        
-        Return a list of the coefficients of an expression
-        
-    .. attribute:: constant
-    
-        Return the constant value of an expression.
-        
-    .. attribute:: symbols
-    
-        Return a list of symbols in an expression.                            
-    
-    .. attribute:: dimension
-    
-        Return the number of variables in an expression.
-        
-    .. py:method:: isconstant(self)
-        
-        Return ``True`` if an expression is a constant.
-    
-    .. py:method:: issymbol(self)
-    
-        Return ``True`` if an expression is a symbol.       
-    
-        
-    .. py:method:: values(self)
-    
-        Return the coefficient and constant values of an expression.
-        
-    .. py:method:: __add__(self, other)
-    
-        Return the sum of *self* and *other*.
-        
-    .. py:method:: __sub__(self, other)
-    
-        Return the difference between *self* and *other*.
-
-    .. py:method:: __mul__(self, other)
-    
-        Return the product of *self* and *other* if *other* is a rational number.
-    
-    .. py:method:: __eq__(self, other)
-        
-        Test whether two expressions are equal.
-                
-    .. py:method:: __le__(self, other)
-                   self <= other
-
-        Create a new polyhedra from an expression with a single constraint as *self* less than or equal to *other*.    
-
-    .. py:method:: __lt__(self, other)
-                   self < other
-                   
-       Create a new polyhedra from an expression with a single constraint as *self* less than *other*.  
-                                      
-    .. py:method:: __ge__(self, other)
-                   self >= other    
-        
-        Create a new polyhedra from an expression with a single constraint as *self* greater than or equal to *other*.  
-        
-    .. py:method:: __gt__(self, other)
-                   self > other
-        
-        Create a new polyhedra from an expression with a single constraint as *self* greater than *other*.  
-        
-    .. py:method:: scaleint(self)
-    
-        Multiply an expression by a scalar to make all coefficients integer values.
-                                  
-    .. py:method:: subs(self, symbol, expression=None)
-    
-        Subsitute the given value into an expression and return the resulting expression.
-        
-        
-    .. py:method:: fromstring(self)
-    
-        Create an expression from a string.
-
-    .. py:method:: fromsympy(self)
-    
-        Convert sympy object to an expression.
-        
-    .. py:method:: tosympy(self)
-    
-        Return an expression as a sympy object.    
-
-.. py:class:: Symbol(Expression)
-
-    .. py:method:: __new__(cls, name)
-    
-        Create and return a symbol from a string.
-        
-    .. py:method::  symbols(names)
-    
-        This function returns a sequence of symbols with names taken from names argument, which can be a comma or whitespace delimited string, or a sequence of strings.
-        
-    .. py:method:: asdummy(self)
-        
-        Return a symbol as a :class:`Dummy` Symbol.
-          
-.. py:class:: Dummy(Symbol)
-
-    This class returns a dummy symbol to ensure that no variables are repeated in an expression. This is useful when the user needs to have a unique symbol, for example as a temporary one in some calculation, which is going to be substituted for something else at the end anyway.    
-    
-    .. py:method:: __new__(cls, name=None)
-        
-        Create and return a new dummy symbol.
-        
-    
-.. py:class:: Rational(Expression, Fraction)
-
-    This class represents integers and rational numbers of any size.
-    
-    .. attribute:: constant
-       
-        Return rational as a constant.
-
-    .. py:method:: isconstant(self)
-        
-        Test whether a value is a constant.
-
-    .. py:method:: fromsympy(cls, expr)
-        
-       Create a rational object from a sympy expression 
-