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New version of int.f90 for big alpha but not to much

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This commit is contained in:
Thomas Applencourt 2015-04-20 17:17:36 +02:00
parent 1fc1124d95
commit 8054b1e58a
1 changed files with 62 additions and 8 deletions
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70
src/MonoInts/int.f90
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@ -140,7 +140,7 @@ end
! __ __ _ __ ___ ___ _ _ __| | ___
! \ \ / / | '_ \/ __|/ _ \ | | |/ _` |/ _ \
! \ V / | |_) \__ \ __/ |_| | (_| | (_) |
! \_/ | .__/|___/\___|\__,_|\__,_|\___/
! \_/ | .__/|___/\___|\__,_|\____|\___/
! | |
! |_|
@ -200,7 +200,7 @@ double precision, intent(in) :: v_kl(kmax_max,0:lmax_max),dz_kl(kmax_max,0:lmax_
double precision :: fourpi,f,prod,prodp,binom,accu,bigR,bigI,ylm
double precision :: theta_AC0,phi_AC0,theta_BC0,phi_BC0,ac,bc,big
double precision :: areal,freal,breal,t1,t2,int_prod_bessel
double precision :: areal,freal,breal,t1,t2,int_prod_bessel, int_prod_bessel_num_soph_p
double precision :: arg
integer :: ntot,ntotA,m,mu,mup,k1,k2,k3,ntotB,k1p,k2p,k3p,lambda,lambdap,ktot
@ -270,7 +270,9 @@ if(ac.eq.0.d0.and.bc.eq.0.d0)then
do m=-l,l
prod=bigI(0,0,l,m,n_a(1),n_a(2),n_a(3))
prodp=bigI(0,0,l,m,n_b(1),n_b(2),n_b(3))
accu=accu+prod*prodp*v_kl(k,l)*freal*int_prod_bessel(ktot+2,g_a+g_b+dz_kl(k,l),0,0,areal,breal)
accu=accu+prod*prodp*v_kl(k,l)*int_prod_bessel_num_soph_p(ktot+2,g_a+g_b+dz_kl(k,l),0,0,areal,breal,arg)
enddo
enddo
enddo
@ -303,7 +305,7 @@ else if(ac.ne.0.d0.and.bc.ne.0.d0)then
do k=1,kmax
do l=0,lmax
array_R(ktot,k,l,lambda,lambdap)= freal &
*int_prod_bessel(ktot+2,g_a+g_b+dz_kl(k,l),lambda,lambdap,areal,breal)
*int_prod_bessel_num_soph_p(ktot+2,g_a+g_b+dz_kl(k,l),lambda,lambdap,areal,breal,arg)
enddo
enddo
enddo
@ -426,8 +428,8 @@ else if(ac.eq.0.d0.and.bc.ne.0.d0)then
do l=0,lmax
array_R(ktot,k,l,0,lambdap)= freal &
*int_prod_bessel(ktot+2,g_a+g_b+dz_kl(k,l),0,lambdap,areal,breal)
enddo
* int_prod_bessel_num_soph_p(ktot+2,g_a+g_b+dz_kl(k,l),0,lambdap,areal,breal,arg)
enddo
enddo
enddo
enddo
@ -513,8 +515,7 @@ else if(ac.ne.0.d0.and.bc.eq.0.d0)then
do l=0,lmax
array_R(ktot,k,l,lambda,0)= freal &
*int_prod_bessel(ktot+2,g_a+g_b+dz_kl(k,l),lambda,0,areal,breal)
* int_prod_bessel_num_soph_p(ktot+2,g_a+g_b+dz_kl(k,l),lambda,0,areal,breal,arg)
enddo
enddo
enddo
@ -1974,6 +1975,59 @@ end
stop 'pb in int_prod_bessel!!'
end
double precision function int_prod_bessel_num_soph_p(l,gam,n,m,a,b,arg)
implicit none
integer n,m,l
double precision gam,a,b,arg,arg_new
double precision bessel_mod,factor
logical not_done
double precision bigA,xold,x,dx,accu,intnew,intold,intold2,u,v,freal
integer iter
double precision n0,nI,i,eps
u=(a+b)/(2.d0*dsqrt(gam))
arg_new=u**2-arg
freal=dexp(arg_new)
v=u/dsqrt(gam)
bigA=v+dsqrt(-dlog(1.d-15)/gam)
n0=5
accu=0.d0
dx=bigA/(n0-1.d0)
iter=0
do i=1.d0,n0
x=(i-1.d0)*dx
accu=accu+x**l*dexp(-gam*(x-v)**2)*bessel_mod(a*x,n)*bessel_mod(b*x,m)*dexp(-(a+b)*x)
enddo
accu=accu*freal
intold=accu*dx
eps=1.d-08
nI=n0-1.d0
dx=dx/2.d0
not_done=.true.
do while(not_done)
iter=iter+1
accu=0.d0
do i=1.d0,nI
x=dx+(i-1.d0)*2.d0*dx
accu=accu+dx*x**l*dexp(-gam*(x-v)**2)*bessel_mod(a*x,n)*bessel_mod(b*x,m)*dexp(-(a+b)*x)
enddo
accu=accu*freal
intnew=intold/2.d0+accu
if(iter.gt.1.and.dabs(intnew-intold).lt.eps.and.dabs(intnew-intold2).lt.eps)then
not_done=.false.
else
intold2=intold
intold=intnew
dx=dx/2.d0
nI=2.d0*nI
endif
enddo
int_prod_bessel_num_soph_p=intold
end
!! Calculation of
!!
!! I= \int dx x**l *exp(-gam*x**2) M_n(ax)