Accuracy of Integral with epsilon
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10-09-2021, 09:50 PM
Post: #19
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RE: Accuracy of Integral with epsilon
(10-09-2021 02:22 AM)Valentin Albillo Wrote: Someone here is not paying attention. You do realize that it is a fallacy to assume exp(x) and cosh(x)+sinh(x) equate numerically, in addition to algebraically? For one, sinh(x) typically uses expm1(x)=exp(x)-1 for higher accuracy sinh(x) = (z+z/(z+1))/2 with z=expm1(x). This asymmetrically affects cosh(x)+sinh(x) for x<0. The difference grows with smaller x<0, which is easy to see when we plug in expm1(x). - Rob "I count on old friends" -- HP 71B,Prime|Ti VOY200,Nspire CXII CAS|Casio fx-CG50...|Sharp PC-G850,E500,2500,1500,14xx,13xx,12xx... |
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