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- Unit_in_the_last_place abstract "In computer science and numerical analysis, unit in the last place or unit of least precision (ULP) is the spacing between floating-point numbers, i.e., the value the least significant digit represents if it is 1. It is used as a measure of precision in numeric calculations. In radix b, if x has exponent E, then ULP(x) = machine epsilon · bE, but alternative definitions exist in the numerics and computing literature for ULP, exponent and machine epsilon, and they may give different equalities.John Harrison uses a slightly different definition of ULP: ULP(x) is the distance between the two closest straddling floating-point numbers a and b (i.e., those with a ≤ x ≤ b and a ≠ b), assuming that the exponent range is not upper-bounded. These definitions differ only at signed powers of the radix.The IEEE 754 specification—followed by all modern floating-point hardware—requires that the result of an elementary arithmetic operation (addition, subtraction, multiplication, division, and square root since 1985, and FMA since 2008) be within 0.5 ULP of the mathematically exact result, using John Harrison's definition—that is, that it be the best possible result. Reputable numeric libraries compute the basic transcendental functions to between 0.5 and about 1 ULP. Only a few libraries compute them within 0.5 ULP, this problem being complex due to the Table-Maker's Dilemma.".
- Unit_in_the_last_place wikiPageExternalLink 689.
- Unit_in_the_last_place wikiPageID "1498076".
- Unit_in_the_last_place wikiPageRevisionID "564782168".
- Unit_in_the_last_place hasPhotoCollection Unit_in_the_last_place.
- Unit_in_the_last_place subject Category:Computer_arithmetic.
- Unit_in_the_last_place comment "In computer science and numerical analysis, unit in the last place or unit of least precision (ULP) is the spacing between floating-point numbers, i.e., the value the least significant digit represents if it is 1. It is used as a measure of precision in numeric calculations.".
- Unit_in_the_last_place label "Unit in the last place".
- Unit_in_the_last_place sameAs m.056215.
- Unit_in_the_last_place sameAs Q7887129.
- Unit_in_the_last_place sameAs Q7887129.
- Unit_in_the_last_place wasDerivedFrom Unit_in_the_last_place?oldid=564782168.
- Unit_in_the_last_place isPrimaryTopicOf Unit_in_the_last_place.