Inverse Harmonic and Inverse Digamma Functions
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09-03-2020, 02:05 PM
(This post was last modified: 09-03-2020 03:17 PM by Albert Chan.)
Post: #4
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RE: Inverse Harmonic and Inverse Digamma Functions
Something unexpected when I try to test invPsi() accuracy.
Note: Psi(1) = -euler_gamma = -0.57721566490153286 ... XCas> 1 - invPsi(-0.57721566490153286) → 5.55111512313e-16 XCas> 1 - invPsi(-euler_gamma) → 1.713074127e-13 ??? Above were done on XCas 1.5.0-63 (win32), with 12-digits display float format. Raising to 17-digits, expressions now agreed, error = 5.5511151231258e-16 Rounding constant with changing float display format is likely a XCas bug. This bug seems to affect only euler_gamma. Example, setting float display format to 6 digits: XCas> 3.1415926535897931 - float(pi) → 0.0 XCas> 0.57721566490153286 - float(euler_gamma) → 0.470199e-6 ??? |
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Inverse Harmonic and Inverse Digamma Functions - Albert Chan - 09-01-2020, 09:06 PM
RE: Inverse Harmonic and Inverse Digamma Functions - Albert Chan - 09-02-2020, 11:03 AM
RE: Inverse Harmonic and Inverse Digamma Functions - Albert Chan - 10-30-2020, 09:57 PM
RE: Inverse Harmonic and Inverse Digamma Functions - Albert Chan - 09-02-2020, 07:48 PM
RE: Inverse Harmonic and Inverse Digamma Functions - Albert Chan - 09-03-2020 02:05 PM
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