--- trunk/Sources/dyn3d/coefpoly.f 2015/06/16 15:23:29 145 +++ trunk/Sources/dyn3d/coefpoly.f 2015/06/16 17:27:33 146 @@ -4,42 +4,38 @@ contains - SUBROUTINE coefpoly(xf1, xf2, xprim1, xprim2, xtild1, xtild2, a0, a1, a2, a3) + SUBROUTINE coefpoly(y1, y2, yp1, yp2, x1, x2, a0, a1, a2, a3) ! From LMDZ4/libf/dyn3d/coefpoly.F, version 1.1.1.1 2004/05/19 12:53:05 ! Author: P. Le Van ! Calcul des coefficients a0, a1, a2, a3 du polynôme de degré 3 - ! qui passe par les points (xtild1, Xf1) et (xtild2, Xf2) avec les - ! dérivées xprim1 et xprim2. Système linéaire de 4 équations à 4 + ! qui passe par les points (x1, Y1) et (x2, Y2) avec les + ! dérivées yp1 et yp2. Système linéaire de 4 équations à 4 ! inconnues : - ! a0 + a1 * xtild1 + a2 * xtild1**2 + a3 * xtild1**3 = Xf1 - ! a0 + a1 * xtild2 + a2 * xtild2**2 + a3 * xtild2**3 = Xf2 - ! a1 + 2 * a2 * xtild1 + 3 * a3 * xtild1**2 = Xprim1 - ! a1 + 2 * a2 * xtild2 + 3 * a3 * xtild2**2 = Xprim2 + ! a0 + a1 * x1 + a2 * x1**2 + a3 * x1**3 = Y1 + ! a0 + a1 * x2 + a2 * x2**2 + a3 * x2**3 = Y2 + ! a1 + 2 * a2 * x1 + 3 * a3 * x1**2 = Yp1 + ! a1 + 2 * a2 * x2 + 3 * a3 * x2**2 = Yp2 - DOUBLE PRECISION, intent(in):: xf1, xf2, xprim1, xprim2, xtild1, xtild2 + DOUBLE PRECISION, intent(in):: y1, y2, yp1, yp2, x1, x2 DOUBLE PRECISION, intent(out):: a0, a1, a2, a3 ! Local: - DOUBLE PRECISION xtil1car, xtil2car, derr, x1x2car + DOUBLE PRECISION x1car, x2car !------------------------------------------------------------ - xtil1car = xtild1 * xtild1 - xtil2car = xtild2 * xtild2 + x1car = x1 * x1 + x2car = x2 * x2 - derr = 2d0 * (xf2-xf1)/(xtild1-xtild2) + a3 = (2d0 * (y2-y1)/(x1-x2)+yp1+yp2)/((x1-x2) * (x1-x2)) + a2 = (yp1-yp2+3d0 * a3 * (x2car-x1car))/(2d0 * (x1-x2)) - x1x2car = (xtild1-xtild2) * (xtild1-xtild2) - - a3 = (derr+xprim1+xprim2)/x1x2car - a2 = (xprim1-xprim2+3d0 * a3 * (xtil2car-xtil1car))/(2d0 * (xtild1-xtild2)) - - a1 = xprim1 - 3d0 * a3 * xtil1car - 2d0 * a2 * xtild1 - a0 = xf1 - a3 * xtild1 * xtil1car - a2 * xtil1car - a1 * xtild1 + a1 = yp1 - 3d0 * a3 * x1car - 2d0 * a2 * x1 + a0 = y1 - a3 * x1 * x1car - a2 * x1car - a1 * x1 END SUBROUTINE coefpoly