<p>Int(f,a,b,n) ... Simpson/Romberg Kernel </p>

036a5570-a553-4a44-9c59-a1c9936a470f 3 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Major Radius a 0.5 :

Minor Radius b 1 :

Ellipse Eccentricity e.c 1 b 2^a 2^/ - sqrt :

http://paulbourke.net/geometry/ellipsecirc/

t0 1 time :

Perimeter of an  [a, b] Ellipse
... acc 10000 P.e 4 a * 1 e.c 2^θ sin (2^* - sqrt θ 0 π 2 / int * : 4.84422411027386

1 time t0 - 27 s *

<p>Int(f,a,b,n) ... Simpson/Romberg Kernel </p>

Simpson Integrator in the Romberg Transform Domain [0,1] <= [a,b] ...  
... integrates  Smath ainterp(X,Y,x), cinterp(X,Y,x), cubic(x) from  l_p_c_spline 
Integration accuracy from user command line 'n' f a b n Int w s b a - (34 / 2 w * 1 - (* 14 / 2 w * 1 - (3^* - 12 / + (* a + : w G w s f 12 w * 1 - (2^- (* : α 0 : β 1 : h β α - n / : 14 mat Simpson 13 / h 2 / α G β G + (* h α k h * + G k 1 n 1 - sum * + (* 23 / h * α h 2 / - k h * + G k 1 n sum * + eval : 32 / b a - (* Simpson * 41 line :

x λ 10 x ≤ (x π 2 / ≤ (& cases :

x f 1 e.c 2^x sin (2^* - sqrt :

t0 1 time :

Perim 4 a * f 0 π 2 / 1000 Int * : 4.84422411027384

1 time t0 - 6 s *

1 e.c 2 ^ x sin ( 2 ^ * - sqrt x λ *