Common operator notation: Difference between revisions

Revision as of 11:51, 19 December 2010

Revision as of 22:59, 14 February 2011

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In [[programming languages]], '''common operator notation''' is just one way of notating mathematical expressions as a linear sequence of tokens, or [[operator (programming)|operator]]s, but this is not the only way. The use of operator precedence classes and associativities is just one way. However, it is not the most general way: this model cannot give an operator more precedence when competing with '−' than it can when competing with '+', while still giving '+' and '−' equivalent precedences and associativities. <!-- speculation... Can it be demonstrated that this is the only sensible way? I do not know, but any such demonstration would be welcome. --> A generalized version of this model (in which each operator can be given independent left and right precedences) can be found at [http://compilers.iecc.com/comparch/article/01-07-068].

In this model, tokens are divided into two classes: operators and operands.

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:<tt>-3! = -(3!)</tt>

==generalisations of common operator notation==

The use of operator precedence classes and associativities is just one way. However, it is not the most general way: this model cannot give an operator more precedence when competing with '−' than it can when competing with '+', while still giving '+' and '−' equivalent precedences and associativities. <!-- speculation... Can it be demonstrated that this is the only sensible way? I do not know, but any such demonstration would be welcome. --> A generalized version of this model (in which each operator can be given independent left and right precedences) can be found at [http://compilers.iecc.com/comparch/article/01-07-068].

==See also==