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Last change
on this file since 5415 was
709,
checked in by Laurent Fairhead, 18 years ago
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Nouvelles versions de la dynamique YM
LF
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Property svn:eol-style set to
native
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Property svn:keywords set to
Author Date Id Revision
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File size:
1.6 KB
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| [630] | 1 | ! |
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| 2 | ! $Header$ |
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| 3 | ! |
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| 4 | subroutine spline(x,y,n,yp1,ypn,y2) |
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| 5 | |
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| 6 | c |
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| 7 | |
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| 8 | c Routine to set up the interpolating function for a cubic spline |
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| 9 | |
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| 10 | c interpolation (see "Numerical Recipes" for details). |
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| 11 | |
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| 12 | c |
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| 13 | implicit real (a-h,o-z) |
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| 14 | implicit integer (i-n) |
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| 15 | |
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| 16 | parameter(nllm=4096) |
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| 17 | |
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| 18 | dimension x(n),y(n),y2(n),u(nllm) |
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| 19 | |
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| 20 | c |
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| 21 | c write(6,*)(x(i),i=1,n) |
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| 22 | c write(6,*)(y(i),i=1,n) |
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| 23 | |
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| 24 | if(yp1.gt.0.99E30) then |
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| 25 | c the lower boundary condition is set |
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| 26 | y2(1)=0. |
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| 27 | c either to be "natural" |
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| 28 | u(1)=0. |
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| 29 | |
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| 30 | else |
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| 31 | c or else to have a specified first |
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| 32 | y2(1)=-0.5 |
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| 33 | c derivative |
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| 34 | u(1)=(3./(x(2)-x(1)))*((y(2)-y(1))/(x(2)-x(1))-yp1) |
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| 35 | |
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| 36 | end if |
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| 37 | |
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| 38 | do 11 i=2,n-1 |
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| 39 | c decomposition loop of the tridiagonal |
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| 40 | sig=(x(i)-x(i-1))/(x(i+1)-x(i-1)) |
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| 41 | c algorithm. Y2 and U are used |
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| 42 | p=sig*y2(i-1)+2. |
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| 43 | c for temporary storage of the decompo- |
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| 44 | y2(i)=(sig-1.)/p |
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| 45 | c sed factors |
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| 46 | u(i)=(6.*((y(i+1)-y(i))/(x(i+1)-x(i))-(y(i)-y(i-1)) |
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| 47 | |
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| 48 | . /(x(i)-x(i-1)))/(x(i+1)-x(i-1))-sig*u(i-1))/p |
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| 49 | |
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| 50 | 11 continue |
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| 51 | |
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| 52 | if(ypn.gt.0.99E30) then |
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| 53 | c the upper boundary condition is set |
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| 54 | qn=0. |
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| 55 | c either to be "natural" |
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| 56 | un=0. |
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| 57 | |
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| 58 | else |
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| 59 | c or else to have a specified first |
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| 60 | qn=0.5 |
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| 61 | c derivative |
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| 62 | un=(3./(x(n)-x(n-1)))*(ypn-(y(n)-y(n-1))/(x(n)-x(n-1))) |
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| 63 | |
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| 64 | end if |
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| 65 | |
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| 66 | y2(n)=(un-qn*u(n-1))/(qn*y2(n-1)+1.) |
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| 67 | |
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| 68 | do 12 k=n-1,1,-1 |
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| 69 | c this is the backsubstitution loop of |
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| 70 | y2(k)=y2(k)*y2(k+1)+u(k) |
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| 71 | c the tridiagonal algorithm |
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| 72 | 12 continue |
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| 73 | |
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| 74 | c |
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| 75 | |
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| 76 | return |
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| 77 | |
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| 78 | end |
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| 79 | |
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