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Dan Zuras Intervals wrote:
Folks, The motion is now, & I quote: The Motion: Every IEEE 1788 compliant system SHALL provide the four basic arithmetic operations addition, subtraction, multiplication, and division with rounding downwards and upwards. Type conversions with directed roundings SHALL also be provided.
From our point of view (constraint programming and use in global optimization), we often need both rounding directions for the same operations.
Thus it would be more useful to have operations that take a list of reals and return a (preferably the tightest) representable interval enclosing the result of an operation with them. Addition and inner product of arbitrarily many inputs, subtraction, division with two arguments, and sqrt with one argument. This fully substitutes for directed rounding (probably at virtually no extra cost if done in hardware). Arnold Neumaier