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module fxhyp_loop_ik_m |
module invert_zoom_x_m |
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implicit none |
implicit none |
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INTEGER, PARAMETER:: nmax = 30000 |
INTEGER, PARAMETER:: nmax = 30000 |
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DOUBLE PRECISION abs_y |
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private abs_y, funcd |
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contains |
contains |
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subroutine fxhyp_loop_ik(ik, decalx, xf, xtild, Xprimt, xzoom, xlon, & |
subroutine invert_zoom_x(xf, xtild, G, xlon, xprim, xuv) |
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xprimm, xuv) |
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use coefpoly_m, only: coefpoly |
use coefpoly_m, only: coefpoly, a1, a2, a3 |
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USE dimens_m, ONLY: iim |
USE dimens_m, ONLY: iim |
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use nr_util, only: pi_d, twopi_d, twopi |
use dynetat0_m, only: clon |
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use serre, only: grossismx |
use nr_util, only: pi_d, twopi_d |
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use numer_rec_95, only: hunt, rtsafe |
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DOUBLE PRECISION, intent(in):: Xf(0:), xtild(0:), G(0:) ! (0:nmax) |
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INTEGER, intent(in):: ik |
real, intent(out):: xlon(:), xprim(:) ! (iim) |
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DOUBLE PRECISION, intent(in):: decalx |
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DOUBLE PRECISION, intent(in):: Xf(0:), xtild(0:), Xprimt(0:) ! (0:2 * nmax) |
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DOUBLE PRECISION, intent(in):: xzoom |
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real, intent(out):: xlon(:), xprimm(:) ! (iim + 1) |
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DOUBLE PRECISION, intent(in):: xuv |
DOUBLE PRECISION, intent(in):: xuv |
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! between - 0.25 and 0.5 |
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! 0. si calcul aux points scalaires |
! 0. si calcul aux points scalaires |
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! 0.5 si calcul aux points U |
! 0.5 si calcul aux points U |
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! Local: |
! Local: |
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DOUBLE PRECISION Y |
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DOUBLE PRECISION h ! step of the uniform grid |
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integer i, it |
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DOUBLE PRECISION xo1, Xfi, xi, a0, a1, a2, a3, Xf1, Xprimin, xi2 |
DOUBLE PRECISION xvrai(iim), Gvrai(iim) |
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integer ii1, ii2, i, it, iter, idif, ii |
! intermediary variables because xlon and xprim are simple precision |
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DOUBLE PRECISION, parameter:: my_eps = 1e-3 |
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DOUBLE PRECISION xxprim(iim + 1), xvrai(iim + 1) |
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INTEGER:: is2 = 0 |
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!------------------------------------------------------------------ |
!------------------------------------------------------------------ |
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xo1 = 0. |
it = 0 ! initial guess |
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h = twopi_d / iim |
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IF (ik == 1 .and. grossismx == 1.) THEN |
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ii1 = 2 |
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ii2 = iim + 1 |
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else |
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ii1=1 |
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ii2=iim |
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END IF |
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DO i = ii1, ii2 |
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Xfi = - pi_d + (i + xuv - decalx) * twopi_d / iim |
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it = 2 * nmax |
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do while (xfi < xf(it) .and. it >= 1) |
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it = it - 1 |
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end do |
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! Calcul de Xf(xi) |
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xi = xtild(it) |
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IF (it == 2 * nmax) THEN |
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it = 2 * nmax -1 |
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END IF |
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! Appel de la routine qui calcule les coefficients a0, a1, |
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! a2, a3 d'un polynome de degre 3 qui passe par les points |
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! (Xf(it), xtild(it)) et (Xf(it + 1), xtild(it + 1)) |
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CALL coefpoly(Xf(it), Xf(it + 1), Xprimt(it), Xprimt(it + 1), & |
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xtild(it), xtild(it + 1), a0, a1, a2, a3) |
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Xf1 = Xf(it) |
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Xprimin = a1 + 2. * a2 * xi + 3. * a3 * xi**2 |
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iter = 1 |
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do |
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xi = xi - (Xf1 - Xfi) / Xprimin |
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IF (ABS(xi - xo1) <= my_eps .or. iter == 300) exit |
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xo1 = xi |
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xi2 = xi * xi |
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Xf1 = a0 + a1 * xi + a2 * xi2 + a3 * xi2 * xi |
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Xprimin = a1 + 2. * a2 * xi + 3. * a3 * xi2 |
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end DO |
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if (ABS(xi - xo1) > my_eps) then |
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! iter == 300 |
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print *, 'Pas de solution.' |
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print *, i, xfi |
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STOP 1 |
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end if |
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xxprim(i) = twopi_d / (REAL(iim) * Xprimin) |
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xvrai(i) = xi + xzoom |
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end DO |
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IF (ik == 1 .and. grossismx == 1.) THEN |
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xvrai(1) = xvrai(iim + 1)-twopi_d |
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xxprim(1) = xxprim(iim + 1) |
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END IF |
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DO i = 1, iim |
DO i = 1, iim |
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xlon(i) = xvrai(i) |
Y = - pi_d + (i + xuv - 0.75d0) * h |
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xprimm(i) = xxprim(i) |
! - pi <= y < pi |
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END DO |
abs_y = abs(y) |
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call hunt(xf, abs_y, it, my_lbound = 0) |
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! {0 <= it <= nmax - 1} |
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! Calcul de xvrai(i) et Gvrai(i) |
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CALL coefpoly(Xf(it), Xf(it + 1), G(it), G(it + 1), xtild(it), & |
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xtild(it + 1)) |
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xvrai(i) = rtsafe(funcd, xtild(it), xtild(it + 1), xacc = 1d-6) |
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Gvrai(i) = a1 + xvrai(i) * (2d0 * a2 + xvrai(i) * 3d0 * a3) |
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if (y < 0d0) xvrai(i) = - xvrai(i) |
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end DO |
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DO i = 1, iim -1 |
DO i = 1, iim -1 |
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IF (xvrai(i + 1) < xvrai(i)) THEN |
IF (xvrai(i + 1) < xvrai(i)) THEN |
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print *, 'rlonu(', i + 1, ') < rlonu(', i, ')' |
print *, 'xvrai(', i + 1, ') < xvrai(', i, ')' |
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STOP 1 |
STOP 1 |
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END IF |
END IF |
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END DO |
END DO |
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IF (.not. (MINval(xvrai(:iim)) >= - pi_d - 1d-5 & |
xlon = xvrai + clon |
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.and. MAXval(xvrai(:iim)) <= pi_d + 1d-5)) THEN |
xprim = h / Gvrai |
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IF (xzoom <= 0.) THEN |
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IF (ik == 1) THEN |
end subroutine invert_zoom_x |
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i = 1 |
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!********************************************************************** |
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do while (xvrai(i) < - pi_d .and. i < iim) |
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i = i + 1 |
SUBROUTINE funcd(x, fval, fderiv) |
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end do |
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use coefpoly_m, only: a0, a1, a2, a3 |
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if (xvrai(i) < - pi_d) then |
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print *, 'Xvrai plus petit que - pi !' |
DOUBLE PRECISION, INTENT(IN):: x |
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STOP 1 |
DOUBLE PRECISION, INTENT(OUT):: fval, fderiv |
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end if |
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is2 = i |
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END IF |
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IF (is2 /= 1) THEN |
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DO ii = is2, iim |
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xlon(ii-is2 + 1) = xvrai(ii) |
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xprimm(ii-is2 + 1) = xxprim(ii) |
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END DO |
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DO ii = 1, is2 -1 |
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xlon(ii + iim-is2 + 1) = xvrai(ii) + twopi_d |
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xprimm(ii + iim-is2 + 1) = xxprim(ii) |
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END DO |
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END IF |
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ELSE |
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IF (ik == 1) THEN |
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i = iim |
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do while (xvrai(i) > pi_d .and. i > 1) |
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i = i - 1 |
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end do |
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if (xvrai(i) > pi_d) then |
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print *, 'Xvrai plus grand que pi !' |
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STOP 1 |
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end if |
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is2 = i |
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END IF |
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idif = iim -is2 |
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DO ii = 1, is2 |
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xlon(ii + idif) = xvrai(ii) |
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xprimm(ii + idif) = xxprim(ii) |
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END DO |
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DO ii = 1, idif |
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xlon(ii) = xvrai(ii + is2) - twopi_d |
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xprimm(ii) = xxprim(ii + is2) |
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END DO |
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END IF |
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END IF |
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xlon(iim + 1) = xlon(1) + twopi |
fval = a0 + x * (a1 + x * (a2 + x * a3)) - abs_y |
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xprimm(iim + 1) = xprimm(1) |
fderiv = a1 + x * (2d0 * a2 + x * 3d0 * a3) |
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end subroutine fxhyp_loop_ik |
END SUBROUTINE funcd |
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end module fxhyp_loop_ik_m |
end module invert_zoom_x_m |