Révision 69 pobysoPythonSage/src/sageSLZ/sageRationalOperations.sage

sageRationalOperations.sage (revision 69)
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def lcmm(rationalList = None):
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    """
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    Compute the lcm of an sequence (list, tuple) of numbers
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    """
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    # No argument.
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    if rationalList is None:
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        raise TypeError('lcmm takes a list of rationals')
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    # Try the len function.
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    try:
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        listLength = len(rationalList)
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    except Exception:
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        print "lcmm:", rationalList, "does not understand the len() function."
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        return(0)
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    # An empty list: return 0
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    if listLength == 0:
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        return(0)
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    # Only one element, return it, wahtever it is.
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    if listLength == 1:
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        return(rationalList[0])
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    try:
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        return(reduce(lcm, rationalList))
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    except Exception:
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        print "Exception raised in lcmm!"
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        return(0)
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def denominators(rationalList = None):
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    """
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    Compute the list of the denominators of a rational numbers list.
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    """
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    # No argument.
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    if rationalList is None:
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        raise TypeError('numerators takes a list of rationals.')
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    try:
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        listLength = len(rationalList)
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    except Exception:
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        print "denominators:", rationalList, \
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                "does not understand the len() function."
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        return([])
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    if listLength == 0:
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        return([])
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    if listLength == 1:
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        try:
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            return(QQ(rationalList[0]).denominator())
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        except Exception:
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            print "denominators:", rationalList[0], \
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                    "has no \"denominator()\" member."
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            return([])
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    denominatorsList = []
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    for i in xrange(listLength):
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        try:
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            denominatorsList.append(QQ(rationalList[i]).denominator())
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        except Exception:
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            print "denominators:", rationalList[i], \
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                    "has no \"denominator()\" member."
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            return([])
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    return(denominatorsList)
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def numerators(rationalList = None):


  		





  
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    """


  		





  
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    Compute the list of the numerators of a rational numbers list.


  		





  
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    """


  		





  
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    # No argument.


  		





  
  63
  
    
    if rationalList is None:


  		





  
  64
  
    
        raise TypeError('numerators takes a list of rationals.')


  		





  
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    try:


  		





  
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        listLength = len(rationalList)


  		





  
  67
  
    
    except Exception:


  		





  
  68
  
    
        print "numerators:", rationalList, \


  		





  
  69
  
    
                "does not understand the len() function."


  		





  
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        return([])


  		





  
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    if listLength == 0:


  		





  
  72
  
    
        return([])


  		





  
  73
  
    
    if listLength == 1:


  		





  
  74
  
    
        try:


  		





  
  75
  
    
            return(QQ(rationalList[0]).numerator())


  		





  
  76
  
    
        except Exception:


  		





  
  77
  
    
            print "denominators:", rationalList[0], \


  		





  
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                    "has no \"numerator()\" member." 


  		





  
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            return([])


  		





  
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    numeratorsList = []    


  		





  
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    for i in xrange(listLength):


  		





  
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        try:


  		





  
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            numeratorsList.append(QQ(rationalList[i]).numerator())


  		





  
  84
  
    
        except Exception:


  		





  
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            print "numerators:", rationalList[i], \


  		





  
  86
  
    
                    "has no \"numerator()\" member." 


  		





  
  87
  
    
            return([])


  		





  
  88
  
    
    return(numeratorsList)


  		












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