HP 35S, HP 42S

07122022, 05:09 PM
Post: #1




HP 35S, HP 42S
Out of curiosity, I conducted a number of integrations on the HP 35S and the HP 42S. I discovered that the two calculators produce identical results, and in identical times if I have the HP 35S in fix 4, and the HP 42S with an accuracy of 1e05. I was surprised that HP 42S accuracy of 1e05 was identical in speed, results when shown to full display of digits, and reported accuracy.
I was also expecting that the HP 35S would be slower than the HP 42S as my impression was that the HP 35S was a bit slow! 

07122022, 05:11 PM
Post: #2




RE: HP 35S, HP 42S
…I was surprised that fix 4 on the HP 35S was the equivalent of accuracy setting of 1e05 on the HP 42S.


07132022, 05:23 PM
Post: #3




RE: HP 35S, HP 42S
For integral from 0 to 4 of 1/SQRT(4*XX^2), fix 3 on the HP 35S and ACC of .001 on the HP 42S are doable, higher accuracy requests result in an integration time that I ran out of patience on both calculators. The HP 35S produced 3.140, the HP 42S produced 3.133. Actual answer is PI.


07142022, 02:28 PM
Post: #4




RE: HP 35S, HP 42S
If you look in the forum archive I believe you’ll find the 35S is one of the fastest HP calcs.


07142022, 05:08 PM
Post: #5




RE: HP 35S, HP 42S
(07142022 02:28 PM)Sukiari Wrote: If you look in the forum archive I believe you’ll find the 35S is one of the fastest HP calcs. True. Note that the 33s is even faster. In this particular example of taking the integral of 1/sqrt(4xx^2) from 0 to 4 in FIX 3 mode, the 35s take 149 seconds, but the 33s takes 119 seconds. Saving 30 seconds is nice. <0ɸ0> Joe 

07142022, 06:05 PM
Post: #6




RE: HP 35S, HP 42S
The CASIO 991 EX CLASSWIZ using an interval from 1e12 to 41e11 came up with a much better answer of 3.14158849 in just 48 seconds (error results from 1/0 division using 0 to 4). The TI30X Pro MathPrint is fine using 0 to 4, comes up with 3.141587206 after 134 seconds.


07142022, 09:16 PM
Post: #7




RE: HP 35S, HP 42S
Integral take a long time because utransformed integral, endpoints still not zero.
∫(1/√(4xx^2), x, 0, 4) = ∫(1/√(1y^2), y, 1, 1) = ∫(3/√(4u^2), u, 1, 1) Here, utransformation only turned infinite endpoints to finite (both ends √3), not 0. If you integrate uversion instead (i.e. utransformed once more), problem goes away. https://www.hpmuseum.org/forum/thread14...#pid127621 

07152022, 06:32 AM
Post: #8




RE: HP 35S, HP 42S
An WP34S will give you 8 correct digits, integrating from 0 to 4, in less than 4 seconds.


07152022, 01:35 PM
(This post was last modified: 07152022 01:36 PM by John Keith.)
Post: #9




RE: HP 35S, HP 42S
(07142022 05:08 PM)Joe Horn Wrote: ... Note that the 33s is even faster. In this particular example of taking the integral of 1/sqrt(4xx^2) from 0 to 4 in FIX 3 mode, the 35s take 149 seconds, but the 33s takes 119 seconds. Saving 30 seconds is nice. The 50g isn't that much better. In FIX 3 mode, it returns 3.13952... in 28.6 seconds. However, in exact mode it returns symbolic PI in 3.8 seconds. 

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