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Complex Plotting App
02-13-2015, 10:04 PM (This post was last modified: 02-13-2015 10:06 PM by Han.)
Post: #21
RE: Complex Plotting App
Your coloring function could be made to run faster. It's essentially the same algorithm repeated three times. Your k value can be computed using logarithms which would be much faster than using a while loop.

Code:

k:=2*m; // k:=(m-0)/(0.5-0) as the initial k value; if m>0.5 then modify k accordingly
if m>0.5 then
  k:=m/(.5e^FLOOR(LN(m)-LN(.5))*(e-1)) - 1/(e-1);
end;

If ranges:=0 and rangee:=C (C is a constant) then we are essentially finding the exponent x such that \(Ce^x < m \le Ce^{x+1} \).

\[ Ce^x = m \Rightarrow \ln C + x = \ln m \Rightarrow x = \ln m - \ln C \]

Secondly, k:=(m-ranges)/(rangee-ranges) simplifies to:
\[ k = \frac{m-Ce^x}{Ce^{x+1}-Ce^x} = \frac{m-Ce^x}{Ce^x(e-1)}
= \frac{m}{Ce^x(e-1)} - \frac{Ce^x}{Ce^x(e-1)} = \frac{m}{Ce^x}-\frac{1}{e-1} \]

The code could be made smaller by creating a function that computes and returns v.

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Messages In This Thread
Complex Plotting App - danielmewes - 12-30-2014, 09:17 AM
RE: Complex Plotting App - dwgg - 02-01-2015, 01:06 AM
RE: Complex Plotting App - Han - 02-01-2015, 04:01 AM
RE: Complex Plotting App - dwgg - 02-01-2015, 06:42 AM
RE: Complex Plotting App - Mark Hardman - 02-01-2015, 11:17 PM
RE: Complex Plotting App - dwgg - 02-02-2015, 03:43 PM
RE: Complex Plotting App - rprosperi - 02-02-2015, 04:54 PM
RE: Complex Plotting App - dwgg - 02-03-2015, 06:56 PM
RE: Complex Plotting App - danielmewes - 02-04-2015, 03:39 AM
RE: Complex Plotting App - dwgg - 02-06-2015, 04:21 AM
RE: Complex Plotting App - Han - 02-06-2015, 08:17 PM
RE: Complex Plotting App - Han - 02-07-2015, 06:02 AM
RE: Complex Plotting App - rprosperi - 02-07-2015, 03:38 PM
RE: Complex Plotting App - Han - 02-07-2015, 06:24 PM
RE: Complex Plotting App - rprosperi - 02-08-2015, 04:06 PM
RE: Complex Plotting App - Eddie W. Shore - 02-12-2015, 03:26 AM
RE: Complex Plotting App - rprosperi - 02-12-2015, 04:02 AM
RE: Complex Plotting App - Eddie W. Shore - 04-02-2015, 02:58 AM
RE: Complex Plotting App - Han - 04-02-2015, 12:10 PM
RE: Complex Plotting App - salvomic - 04-02-2015, 02:48 PM
RE: Complex Plotting App - Eddie W. Shore - 04-04-2015, 03:03 PM
RE: Complex Plotting App - dwgg - 02-12-2015, 06:29 AM
RE: Complex Plotting App - Han - 02-12-2015, 08:23 AM
RE: Complex Plotting App - dwgg - 02-13-2015, 02:52 AM
RE: Complex Plotting App - Han - 02-13-2015 10:04 PM
RE: Complex Plotting App - dwgg - 02-14-2015, 12:01 AM
RE: Complex Plotting App - dwgg - 02-14-2015, 11:43 AM
RE: Complex Plotting App - salvomic - 04-02-2015, 05:17 PM
RE: Complex Plotting App - Han - 04-02-2015, 05:40 PM
RE: Complex Plotting App - salvomic - 04-02-2015, 05:50 PM
RE: Complex Plotting App - Han - 02-14-2015, 07:14 PM
RE: Complex Plotting App - dwgg - 02-14-2015, 10:18 PM
RE: Complex Plotting App - Han - 02-17-2015, 01:34 AM
RE: Complex Plotting App - dwgg - 02-18-2015, 06:35 AM
RE: Complex Plotting App - Han - 02-18-2015, 04:41 PM
RE: Complex Plotting App - Han - 02-18-2015, 10:08 PM
RE: Complex Plotting App - dwgg - 02-19-2015, 02:06 AM
RE: Complex Plotting App - Han - 02-19-2015, 02:14 AM
RE: Complex Plotting App - Han - 03-17-2017, 07:28 PM
RE: Complex Plotting App - jtm - 06-30-2017, 03:48 AM
RE: Complex Plotting App - Han - 07-01-2017, 12:17 AM



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