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cubic solver
09-08-2023, 02:44 PM
Post: #2
RE: cubic solver
Root simplify returned wrong (not principle) root bug existed for XCas 1.5.0

But, it is worse on XCas 1.9.0-31 (mingw32 win32)
Result does not match phase *and* magnitude.

XCas> b := (1/256*(-√15*48*i-176))^(1/3)
XCas> polar(float(b))

1.0, -0.77627903074

XCas> simplify(polar(b))                     // good

\(\displaystyle 1\;,\;\frac{-\pi +\arctan \left(\frac{3}{11} \sqrt{15}\right)}{3}\)

XCas> simplify(polar(simplify(b)))       // bad

\(256\;,\;-\pi +\arctan \left(\frac{3}{11} \sqrt{15}\right)\)
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Messages In This Thread
cubic solver - Albert Chan - 09-08-2023, 02:26 PM
RE: cubic solver - Albert Chan - 09-08-2023 02:44 PM
RE: cubic solver - parisse - 09-08-2023, 06:56 PM
RE: cubic solver - Albert Chan - 06-29-2024, 02:46 PM
RE: cubic solver - Albert Chan - 06-29-2024, 03:29 PM
RE: cubic solver - Albert Chan - 07-02-2024, 02:34 PM
RE: cubic solver - Albert Chan - 07-02-2024, 05:12 PM
RE: cubic solver - Albert Chan - 07-03-2024, 10:17 PM
RE: cubic solver - Albert Chan - 07-03-2024, 11:48 PM
Quarter Solver - Albert Chan - 07-04-2024, 08:37 PM



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