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(28/48/50) Complete Elliptic Integrals
02-27-2024, 12:08 AM (This post was last modified: 02-27-2024 12:23 AM by Thomas Klemm.)
Post: #2
RE: (28/48/50) Complete Elliptic Integrals
Just out of curiosity: why would you use .00000000002 instead of 2E-11?
Is this faster?

From Legendre's relation:

For example:

\(
K({\color {blueviolet}{\tfrac {3}{5}}})E({\color {blue}{\tfrac {4}{5}}})+E({\color {blueviolet}{\tfrac {3}{5}}})K({\color {blue}{\tfrac {4}{5}}})-K({\color {blueviolet}{\tfrac {3}{5}}})K({\color {blue}{\tfrac {4}{5}}})={\tfrac {1}{2}}\pi
\)

.6 Kk
.8 Ek
*
.6 Ek
.8 Kk
*
+
.6 Kk
.8 Kk
*
-

1.57079632679

Compare this to \(\frac{\pi}{2}\):

1.5707963268

LGTM
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RE: (28/48/50) Complete Elliptic Integrals - Thomas Klemm - 02-27-2024 12:08 AM



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