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Journal articles
Accelerating Correctly Rounded Floating-PointDivision when the Divisor is Known in Advance
Abstract : We present techniques for accelerating the floating-point computation of x/y when y is known before x. The proposed algorithms are oriented toward architectures with available fused-mac operations. The goal is to get exactly the same result as with usual division with rounding to nearest. It is known that the advanced computation of 1/y allows performing correctly rounded division in one multiplication plus two fused-macs. We show algorithms that reduce this latency to one multiplication and one fused-mac. This is achieved if a precision of at least n+1 bits is available, where n is the number of mantissa bits in the target format, or if y satisfies some properties that can be easily checked at compile-time. This requires a double-word approximation of 1/y (we also show how to get it). Compilers to accelerate some numerical programs without loss of accuracy can use these techniques.
Cited literature [9 references]
https://hal-ens-lyon.archives-ouvertes.fr/ensl-00087465
Contributor : Jean-Michel Muller Connect in order to contact the contributor
Submitted on : Monday, July 24, 2006 - 4:27:52 PM
Last modification on : Friday, February 4, 2022 - 3:15:59 AM
Long-term archiving on: : Tuesday, April 6, 2010 - 12:24:15 AM
Contributor : Jean-Michel Muller Connect in order to contact the contributor
Submitted on : Monday, July 24, 2006 - 4:27:52 PM
Last modification on : Friday, February 4, 2022 - 3:15:59 AM
Long-term archiving on: : Tuesday, April 6, 2010 - 12:24:15 AM