Spline under tension

Please choose:
Own (x,y)-data

Specify the number of data points here 4<=n<=200


n =

Specify the (x,y)-data here, each pair on a new line, the numbers separated by blank or comma, no parentheses

(x,y)=

Do you want a printed output of the formula representation of the spline?

yes
no

specify the tension parameter here: 0 <= σ <= 50!

σ =
Synthetic data

Choose a function
f(x) = (x2)(1/3)
f(x) = 1/(1+25x2)
f(x) = sin(2*π*x)
f(x) = tanh(x)
f(x) = exp(x)
Specification of a function:
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 data points to be generated:
n =
Important: 4 <= n <= 200 !

Please specify the interval for the x-data:
a = b =

Please specify the tension parameter here;
σ = Important: 0 <= σ <= 50 !

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

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18.02.2015