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The '''Universal Number Format''' (or Unum) is a number format which uses several novel techniques to ensure algebraically valid solutions to computations.<ref>J. L. Gustafson, The End of Error. To be published by CRC Press Taylor and Francis Goup, A Chapman and Hall Book, 2015.</ref> One of the primary techniques is storing meta-data along with each number, including its environment and precision (exponent and fraction/mantissa), which allows for rigorously bounded interval solutions without rounding error typical of ] arithmetic and with underflow or overflow.{{POV-statement|date=January 2015}} The '''Universal Number Format''' (or Unum) is a number format which uses several novel techniques to ensure algebraically valid solutions to computations.<ref>J. L. Gustafson, The End of Error. published by CRC Press Taylor and Francis Goup, A Chapman and Hall Book, 2015.</ref> One of the primary techniques is storing meta-data along with each number, including its environment and precision (exponent and fraction/mantissa), which allows for rigorously bounded interval solutions without rounding error typical of ] arithmetic and with underflow or overflow. This is achieved with one of the novel techniques of including an "inexact bit" which helps define the answer on the ]


First proposed by ] in ''The End of Error'', the Unum encompasses all IEEE floating-point formats as well as fixed-point and exact integer arithmetic.{{POV-statement|date=January 2015}} This number type can allow for more accurate answers than floating-point arithmetic in some situations. In many cases using fewer bits thereby saving memory, bandwidth, energy, and power. First proposed by ] in ''The End of Error'', the Unum encompasses all IEEE floating-point formats as well as fixed-point and exact integer arithmetic. This number type can allow for more accurate answers than floating-point arithmetic in some situations. In many cases using fewer bits thereby saving memory, bandwidth, energy, and power.


==References== ==References==

Revision as of 18:00, 9 March 2015

The Universal Number Format (or Unum) is a number format which uses several novel techniques to ensure algebraically valid solutions to computations. One of the primary techniques is storing meta-data along with each number, including its environment and precision (exponent and fraction/mantissa), which allows for rigorously bounded interval solutions without rounding error typical of floating-point arithmetic and with underflow or overflow. This is achieved with one of the novel techniques of including an "inexact bit" which helps define the answer on the real number line

First proposed by John Gustafson in The End of Error, the Unum encompasses all IEEE floating-point formats as well as fixed-point and exact integer arithmetic. This number type can allow for more accurate answers than floating-point arithmetic in some situations. In many cases using fewer bits thereby saving memory, bandwidth, energy, and power.

References

  1. J. L. Gustafson, The End of Error. published by CRC Press Taylor and Francis Goup, A Chapman and Hall Book, 2015.

External links

See also

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