Interpolation by periodic cubic splines

Please choose:
My own (x,y)-data

Please specify the number of your data: 4<=n<=200



Please write here your data, each point on a new line, the two values separated by comma or blank, no parentheses

(x,y)=

print formula
do not print formula

Synthetic data

Choose a function:

f(x) = cos(40 π x), entier, derivatives growing fast
f(x) = exp(sin( π x)) entier
f(x) = 1/(1+sin(2 π x)2), singular at x=arsinh(-1)/(2 π sqrt(-1))

Specification of a function of your own:

Please type the evaluation program of your function here using FORTRAN rules. Your final statement must be

      fu= some expression you computed before or just here depending on x
You may use the constants pi, e(=exp(1)), sqrt2(=1.414...), the integer variables i,j,k, the logicals bool1,bool2,bool3 and the double precision variables sum,h1,h2,h3,h4,y(100),z(100),a(100,100) which are all intialized with zero resp. .false. . The routine has the parameters x (double, input) and fu (double out). never change x!. first is a local integer and set 0 before calling the function the first time. You may use this in order to initialize some local data and set it 1 afterwards to avoid multiple such initialization. Your settings of the local variables are preserved during program execution.

Specify the number of interpolation points here:
n = Wichtig : 4 <= n <= 200 !

Specify the interval for the x-data:
a = b =

Click on "evaluate", in order to submit your input.

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18.02.2015