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contains |
contains |
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SUBROUTINE coefpoly(xf1, xf2, xprim1, xprim2, xtild1, xtild2, a0, a1, a2, a3) |
SUBROUTINE coefpoly(y1, y2, yp1, yp2, x1, x2, a0, a1, a2, a3) |
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! From LMDZ4/libf/dyn3d/coefpoly.F, version 1.1.1.1 2004/05/19 12:53:05 |
! From LMDZ4/libf/dyn3d/coefpoly.F, version 1.1.1.1 2004/05/19 12:53:05 |
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! Author: P. Le Van |
! Author: P. Le Van |
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! Calcul des coefficients a0, a1, a2, a3 du polynôme de degré 3 |
! Calcul des coefficients a0, a1, a2, a3 du polynôme de degré 3 |
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! qui passe par les points (xtild1, Xf1) et (xtild2, Xf2) avec les |
! qui passe par les points (x1, Y1) et (x2, Y2) avec les |
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! dérivées xprim1 et xprim2. Système linéaire de 4 équations à 4 |
! dérivées yp1 et yp2. Système linéaire de 4 équations à 4 |
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! inconnues : |
! inconnues : |
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! a0 + a1 * xtild1 + a2 * xtild1**2 + a3 * xtild1**3 = Xf1 |
! a0 + a1 * x1 + a2 * x1**2 + a3 * x1**3 = Y1 |
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! a0 + a1 * xtild2 + a2 * xtild2**2 + a3 * xtild2**3 = Xf2 |
! a0 + a1 * x2 + a2 * x2**2 + a3 * x2**3 = Y2 |
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! a1 + 2 * a2 * xtild1 + 3 * a3 * xtild1**2 = Xprim1 |
! a1 + 2 * a2 * x1 + 3 * a3 * x1**2 = Yp1 |
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! a1 + 2 * a2 * xtild2 + 3 * a3 * xtild2**2 = Xprim2 |
! a1 + 2 * a2 * x2 + 3 * a3 * x2**2 = Yp2 |
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DOUBLE PRECISION, intent(in):: xf1, xf2, xprim1, xprim2, xtild1, xtild2 |
DOUBLE PRECISION, intent(in):: y1, y2, yp1, yp2, x1, x2 |
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DOUBLE PRECISION, intent(out):: a0, a1, a2, a3 |
DOUBLE PRECISION, intent(out):: a0, a1, a2, a3 |
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! Local: |
! Local: |
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DOUBLE PRECISION xtil1car, xtil2car, derr, x1x2car |
DOUBLE PRECISION x1car, x2car |
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!------------------------------------------------------------ |
!------------------------------------------------------------ |
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xtil1car = xtild1 * xtild1 |
x1car = x1 * x1 |
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xtil2car = xtild2 * xtild2 |
x2car = x2 * x2 |
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derr = 2d0 * (xf2-xf1)/(xtild1-xtild2) |
a3 = (2d0 * (y2-y1)/(x1-x2)+yp1+yp2)/((x1-x2) * (x1-x2)) |
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a2 = (yp1-yp2+3d0 * a3 * (x2car-x1car))/(2d0 * (x1-x2)) |
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x1x2car = (xtild1-xtild2) * (xtild1-xtild2) |
a1 = yp1 - 3d0 * a3 * x1car - 2d0 * a2 * x1 |
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a0 = y1 - a3 * x1 * x1car - a2 * x1car - a1 * x1 |
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a3 = (derr+xprim1+xprim2)/x1x2car |
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a2 = (xprim1-xprim2+3d0 * a3 * (xtil2car-xtil1car))/(2d0 * (xtild1-xtild2)) |
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a1 = xprim1 - 3d0 * a3 * xtil1car - 2d0 * a2 * xtild1 |
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a0 = xf1 - a3 * xtild1 * xtil1car - a2 * xtil1car - a1 * xtild1 |
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END SUBROUTINE coefpoly |
END SUBROUTINE coefpoly |
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