How Often Is Floating-Point Addition Non-Associative?

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• Theo Drane (Imperial College)
• Friday 07 March 2014, 16:00-17:00
• Level 9 Mahanakorn Lab., EE Dept..

If you have a question about this talk, please contact Grigorios Mingas.

Despite users’ hopes, experiences or expectations, performing arithmetic with floating-point operations can produce unexpected results. Fundamental arithmetic properties are violated, for example the result of adding a set of floating-point numbers together will depend on the ordering of the operations. It is possible that the addition is non-associative, namely: a+(b+c) != (a+b)+c This talk will first explain why and provide a (partial) analytic answer to the probability that this occurs for an arbitrary floating-point format.

This talk is part of the CAS Talks series.

This talk is included in these lists:

• Andrea Picciau's list
• CAS Talks
• Circuits and Systems Group: Internal Seminars
• Level 9 Mahanakorn Lab., EE Dept.

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