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! $Header: /home/cvsroot/LMDZ4/libf/dyn3d/coefpoly.F,v 1.1.1.1 2004/05/19 12:53:05 lmdzadmin Exp $ |
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! |
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SUBROUTINE coefpoly ( Xf1, Xf2, Xprim1, Xprim2, xtild1,xtild2 , |
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, a0,a1,a2,a3 ) |
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IMPLICIT NONE |
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c |
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c ... Auteur : P. Le Van ... |
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c |
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c |
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c Calcul des coefficients a0, a1, a2, a3 du polynome de degre 3 qui |
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c satisfait aux 4 equations suivantes : |
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c a0 + a1*xtild1 + a2*xtild1*xtild1 + a3*xtild1*xtild1*xtild1 = Xf1 |
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c a0 + a1*xtild2 + a2*xtild2*xtild2 + a3*xtild2*xtild2*xtild2 = Xf2 |
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c a1 + 2.*a2*xtild1 + 3.*a3*xtild1*xtild1 = Xprim1 |
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c a1 + 2.*a2*xtild2 + 3.*a3*xtild2*xtild2 = Xprim2 |
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c On en revient a resoudre un systeme de 4 equat.a 4 inconnues a0,a1,a2,a3 |
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REAL*8 Xf1, Xf2,Xprim1,Xprim2, xtild1,xtild2, xi |
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REAL*8 Xfout, Xprim |
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REAL*8 a1,a2,a3,a0, xtil1car, xtil2car,derr,x1x2car |
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xtil1car = xtild1 * xtild1 |
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xtil2car = xtild2 * xtild2 |
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derr= 2. *(Xf2-Xf1)/( xtild1-xtild2) |
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x1x2car = ( xtild1-xtild2)*(xtild1-xtild2) |
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a3 = (derr + Xprim1+Xprim2 )/x1x2car |
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a2 = ( Xprim1 - Xprim2 + 3.* a3 * ( xtil2car-xtil1car ) ) / |
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/ ( 2.* ( xtild1 - xtild2 ) ) |
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a1 = Xprim1 -3.* a3 * xtil1car -2.* a2 * xtild1 |
! $Header: /home/cvsroot/LMDZ4/libf/dyn3d/coefpoly.F,v 1.1.1.1 2004/05/19 |
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a0 = Xf1 - a3 * xtild1* xtil1car -a2 * xtil1car - a1 *xtild1 |
! 12:53:05 lmdzadmin Exp $ |
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RETURN |
SUBROUTINE coefpoly(xf1, xf2, xprim1, xprim2, xtild1, xtild2, a0, a1, a2, a3) |
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IMPLICIT NONE |
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! ... Auteur : P. Le Van ... |
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! Calcul des coefficients a0, a1, a2, a3 du polynome de degre 3 qui |
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! satisfait aux 4 equations suivantes : |
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! a0 + a1*xtild1 + a2*xtild1*xtild1 + a3*xtild1*xtild1*xtild1 = Xf1 |
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! a0 + a1*xtild2 + a2*xtild2*xtild2 + a3*xtild2*xtild2*xtild2 = Xf2 |
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! a1 + 2.*a2*xtild1 + 3.*a3*xtild1*xtild1 = Xprim1 |
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! a1 + 2.*a2*xtild2 + 3.*a3*xtild2*xtild2 = Xprim2 |
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! On en revient a resoudre un systeme de 4 equat.a 4 inconnues a0,a1,a2,a3 |
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DOUBLE PRECISION xf1, xf2, xprim1, xprim2, xtild1, xtild2, xi |
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DOUBLE PRECISION xfout, xprim |
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DOUBLE PRECISION a1, a2, a3, a0, xtil1car, xtil2car, derr, x1x2car |
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xtil1car = xtild1*xtild1 |
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xtil2car = xtild2*xtild2 |
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derr = 2.*(xf2-xf1)/(xtild1-xtild2) |
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x1x2car = (xtild1-xtild2)*(xtild1-xtild2) |
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a3 = (derr+xprim1+xprim2)/x1x2car |
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a2 = (xprim1-xprim2+3.*a3*(xtil2car-xtil1car))/(2.*(xtild1-xtild2)) |
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a1 = xprim1 - 3.*a3*xtil1car - 2.*a2*xtild1 |
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a0 = xf1 - a3*xtild1*xtil1car - a2*xtil1car - a1*xtild1 |
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RETURN |
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END SUBROUTINE coefpoly |