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lambertw, all branches
02-02-2024, 11:49 AM
Post: #58
RE: lambertw, all branches
(02-01-2024 04:16 PM)Albert Chan Wrote:  Previous post customized LN and ability to enter W guess also included.

Python W nudge imag part from inside LN, because it is free.
Customized LN need to fix ±0j effect to phase angle anyway.

Lua I.W (post 14) work differently, by forcing positive x imag part, with "flips"
The reason is signed-zero arithmetic preferred +0. It is much easier to maintain +0 than -0.

If I were to implement equivalent safe feature, I would just force this for each iteration.
This is a safe patch, since it is what is assumed. Just place it before Newton correction.

Code:
x = I(I.real(x), abs(I.imag(x)))

For the ability to user to enter W guess, add this before Newton loops.

Code:
if verbal and verbal~=true then x = flip(verbal) end

With these patches to post 14, this is Lua I.W version 4

The patch does not mean we can use any guess.
The problem is again ±0*I, with negative real part.

We get phase angle of ±pi, difference of ±2*pi, exactly matched branch ±1
This is why branch 0, ±1 with small imag parts *must* have good guess.
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Messages In This Thread
lambertw, all branches - Albert Chan - 04-07-2023, 01:24 PM
RE: lambertw, all branches - Albert Chan - 04-07-2023, 02:47 PM
RE: lambertw, all branches - Albert Chan - 04-19-2023, 01:30 AM
RE: lambertw, all branches - pier4r - 04-07-2023, 06:04 PM
RE: lambertw, all branches - Albert Chan - 04-07-2023, 07:54 PM
RE: lambertw, all branches - Albert Chan - 04-08-2023, 03:21 PM
RE: lambertw, all branches - Albert Chan - 04-08-2023, 05:54 PM
RE: lambertw, all branches - Albert Chan - 04-07-2023, 08:40 PM
RE: lambertw, all branches - Albert Chan - 04-09-2023, 03:59 AM
RE: lambertw, all branches - Albert Chan - 04-09-2023, 04:36 PM
RE: lambertw, all branches - Albert Chan - 04-10-2023, 04:44 PM
RE: lambertw, all branches - Albert Chan - 04-10-2023, 06:47 PM
RE: lambertw, all branches - Albert Chan - 04-13-2023, 03:03 PM
RE: lambertw, all branches - floppy - 04-13-2023, 04:14 PM
RE: lambertw, all branches - Albert Chan - 04-23-2023, 02:49 PM
RE: lambertw, all branches - Albert Chan - 04-23-2023, 04:40 PM
RE: lambertw, all branches - Albert Chan - 01-19-2024, 04:14 PM
RE: lambertw, all branches - Albert Chan - 01-20-2024, 04:48 PM
RE: lambertw, all branches - Gil - 01-20-2024, 10:52 PM
RE: lambertw, all branches - Albert Chan - 01-21-2024, 01:14 AM
RE: lambertw, all branches - Albert Chan - 01-21-2024, 01:54 AM
RE: lambertw, all branches - Gil - 01-21-2024, 01:53 PM
RE: lambertw, all branches - Albert Chan - 01-21-2024, 04:19 PM
RE: lambertw, all branches - Gil - 01-21-2024, 04:35 PM
RE: lambertw, all branches - Albert Chan - 01-21-2024, 06:03 PM
RE: lambertw, all branches - Albert Chan - 01-21-2024, 07:01 PM
RE: lambertw, all branches - Gil - 01-21-2024, 07:30 PM
RE: lambertw, all branches - Gil - 01-21-2024, 08:39 PM
RE: lambertw, all branches - Albert Chan - 01-21-2024, 10:06 PM
RE: lambertw, all branches - Gil - 01-21-2024, 09:51 PM
RE: lambertw, all branches - Gil - 01-21-2024, 10:56 PM
RE: lambertw, all branches - Albert Chan - 01-22-2024, 01:34 AM
RE: lambertw, all branches - Gil - 01-21-2024, 11:15 PM
RE: lambertw, all branches - Gil - 01-22-2024, 06:09 PM
RE: lambertw, all branches - Albert Chan - 01-22-2024, 07:29 PM
RE: lambertw, all branches - Gil - 01-22-2024, 11:33 PM
RE: lambertw, all branches - Albert Chan - 01-23-2024, 02:32 AM
RE: lambertw, all branches - Gil - 01-23-2024, 02:35 PM
RE: lambertw, all branches - Albert Chan - 01-23-2024, 03:54 PM
RE: lambertw, all branches - Gil - 01-23-2024, 04:57 PM
RE: lambertw, all branches - Albert Chan - 01-23-2024, 06:17 PM
RE: lambertw, all branches - Gil - 01-23-2024, 06:44 PM
RE: lambertw, all branches - Gil - 01-23-2024, 11:00 PM
RE: lambertw, all branches - Gil - 01-24-2024, 03:18 PM
RE: lambertw, all branches - Albert Chan - 01-24-2024, 08:53 PM
RE: lambertw, all branches - Gil - 01-25-2024, 12:37 AM
RE: lambertw, all branches - Gil - 01-25-2024, 01:10 AM
RE: lambertw, all branches - Gil - 01-25-2024, 03:04 AM
RE: lambertw, all branches - Albert Chan - 01-25-2024, 07:02 AM
RE: lambertw, all branches - Gil - 01-25-2024, 10:09 AM
RE: lambertw, all branches - Albert Chan - 01-25-2024, 04:13 PM
RE: lambertw, all branches - Gil - 01-25-2024, 05:14 PM
RE: lambertw, all branches - Albert Chan - 01-25-2024, 05:57 PM
RE: lambertw, all branches - Gil - 01-25-2024, 06:19 PM
RE: lambertw, all branches - Albert Chan - 01-28-2024, 11:18 PM
RE: lambertw, all branches - Albert Chan - 02-01-2024, 02:17 AM
RE: lambertw, all branches - Albert Chan - 02-01-2024, 04:16 PM
RE: lambertw, all branches - Albert Chan - 02-02-2024 11:49 AM



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