FUNCTION dawson_s(x) USE nrtype; USE nrutil, ONLY : arth,geop IMPLICIT NONE REAL(SP), INTENT(IN) :: x REAL(SP) :: dawson_s INTEGER(I4B), PARAMETER :: NMAX=6 REAL(SP), PARAMETER :: H=0.4_sp,A1=2.0_sp/3.0_sp,A2=0.4_sp,& A3=2.0_sp/7.0_sp INTEGER(I4B) :: i,n0 REAL(SP) :: ec,x2,xp,xx REAL(SP), DIMENSION(NMAX) :: d1,d2,e1 REAL(SP), DIMENSION(NMAX), SAVE :: c=(/ (0.0_sp,i=1,NMAX) /) if (c(1) == 0.0) c(1:NMAX)=exp(-(arth(1,2,NMAX)*H)**2) if (abs(x) < 0.2_sp) then x2=x**2 dawson_s=x*(1.0_sp-A1*x2*(1.0_sp-A2*x2*(1.0_sp-A3*x2))) else xx=abs(x) n0=2*nint(0.5_sp*xx/H) xp=xx-real(n0,sp)*H ec=exp(2.0_sp*xp*H) d1=arth(n0+1,2,NMAX) d2=arth(n0-1,-2,NMAX) e1=geop(ec,ec**2,NMAX) dawson_s=0.5641895835477563_sp*sign(exp(-xp**2),x)*& sum(c*(e1/d1+1.0_sp/(d2*e1))) end if END FUNCTION dawson_s FUNCTION dawson_v(x) USE nrtype; USE nrutil, ONLY : arth IMPLICIT NONE REAL(SP), DIMENSION(:), INTENT(IN) :: x REAL(SP), DIMENSION(size(x)) :: dawson_v INTEGER(I4B), PARAMETER :: NMAX=6 REAL(SP), PARAMETER :: H=0.4_sp,A1=2.0_sp/3.0_sp,A2=0.4_sp,& A3=2.0_sp/7.0_sp INTEGER(I4B) :: i,n REAL(SP), DIMENSION(size(x)) :: x2 REAL(SP), DIMENSION(NMAX), SAVE :: c=(/ (0.0_sp,i=1,NMAX) /) LOGICAL(LGT), DIMENSION(size(x)) :: mask if (c(1) == 0.0) c(1:NMAX)=exp(-(arth(1,2,NMAX)*H)**2) mask = (abs(x) >= 0.2_sp) dawson_v=dawsonseries_v(x,mask) where (.not. mask) x2=x**2 dawson_v=x*(1.0_sp-A1*x2*(1.0_sp-A2*x2*(1.0_sp-A3*x2))) end where CONTAINS !BL FUNCTION dawsonseries_v(xin,mask) IMPLICIT NONE REAL(SP), DIMENSION(:), INTENT(IN) :: xin LOGICAL(LGT), DIMENSION(size(xin)), INTENT(IN) :: mask REAL(SP), DIMENSION(size(xin)) :: dawsonseries_v INTEGER(I4B), DIMENSION(:), ALLOCATABLE :: n0 REAL(SP), DIMENSION(:), ALLOCATABLE :: d1,d2,e1,e2,sm,xp,xx,x n=count(mask) if (n == 0) RETURN allocate(n0(n),d1(n),d2(n),e1(n),e2(n),sm(n),xp(n),xx(n),x(n)) x=pack(xin,mask) xx=abs(x) n0=2*nint(0.5_sp*xx/H) xp=xx-real(n0,sp)*H e1=exp(2.0_sp*xp*H) e2=e1**2 d1=n0+1.0_sp d2=d1-2.0_sp sm=0.0 do i=1,NMAX sm=sm+c(i)*(e1/d1+1.0_sp/(d2*e1)) d1=d1+2.0_sp d2=d2-2.0_sp e1=e2*e1 end do sm=0.5641895835477563_sp*sign(exp(-xp**2),x)*sm dawsonseries_v=unpack(sm,mask,0.0_sp) deallocate(n0,d1,d2,e1,e2,sm,xp,xx) END FUNCTION dawsonseries_v END FUNCTION dawson_v