MODULE INTFCMOD
IMPLICIT NONE
PUBLIC :: INITLEVELS, TRANSF, COVG
CONTAINS
SUBROUTINE INITLEVELS(T,HT,N,NU,Nv)
USE TBRMOD
USE SIZEMOD
IMPLICIT NONE
C INTEGER, PARAMETER:: NMAX = 101, RDIM = 10201
C DIMENSION ULEVELS(1),Vlevels(1),T(1),HT(1),TG(1),XG(1),HH(101)
REAL*8, DIMENSION(:), intent(in) :: T
REAL*8, DIMENSION(:), intent(out) :: HT
C INTEGER, intent(in) :: NG
REAL*8 :: UMIN,UMAX,VMIN,VMAX, HU,HV
integer :: N, I, NU, NV
C REAL*8, DIMENSION(NMAX) :: HH
C COMMON/TBR/HH
C IF (NG.GT.501) THEN
C PRINT *,'Vector defining transformation of data > 501, stop'
C STOP
C END IF
IF(N.ge.NMAX) then
print *,'The number of wavelength points >',NMAX-1, ' stop'
stop
end if
IF(N.lt.2) then
print *,'The number of wavelength points < 2, stop'
stop
end if
HT(1)=0.5d0*(T(2)-T(1))
HT(N)=0.5d0*(T(N)-T(N-1))
HH(1)=-100.0d0
HH(N)=-100.0d0
DO I=2,N-1
HT(I)=0.5d0*(T(I+1)-T(I-1))
HH(I)=-100.0d0
c10 CONTINUE
enddo
IF(NU.gt.NMAX) then
print *,'The number of maxima >',NMAX,' stop'
stop
end if
IF(NV.gt.NMAX) then
print *,'The number of minima >',NMAX,' stop'
stop
end if
IF(NU.LT.1) Then
print *,'The number of maxima < 1, stop'
stop
end if
IF(NV.LT.1) Then
print *,'The number of minima < 1, stop'
stop
end if
RETURN
END SUBROUTINE INITLEVELS
SUBROUTINE TRANSF(N,T,A,TIMEV,VALUE,DER)
C
C N number of data points
C TIMEV vector of time points
C A a vector of values of a function G(TIME)
C T independent time point
C VALUE is a value of a function at T, i.e. VALUE=G(T).
c DER=G'(t)
C
USE SIZEMOD
IMPLICIT NONE
REAL*8, intent(inout):: VALUE, DER,T
C INTEGER, PARAMETER :: RDIM = 10201
REAL*8, DIMENSION(:), intent(in) :: A,TIMEV
integer, intent(in) :: N
REAL*8:: T1
integer :: I
IF (T.LT.TIMEV(1)) then
der=(A(2)-A(1))/(TIMEV(2)-TIMEV(1))
T1=T-TIMEV(1)
VALUE=A(1)+T1*DER
return
end if
IF (T.GT.TIMEV(N)) then
der = (A(N)-A(N-1))/(TIMEV(N)-TIMEV(N-1))
T1 = T-TIMEV(N)
VALUE=A(N)+T1*DER
return
end if
DO I=2,N
IF (T.LT.TIMEV(I)) GO TO 10
ENDDO
10 I=I-1
T1=T-TIMEV(I)
DER=(A(I+1)-A(I))/(TIMEV(i+1)-TIMEV(I))
VALUE=A(I)+T1*DER
RETURN
END SUBROUTINE TRANSF
REAL*8 FUNCTION SPLE(N,T,A,TIMEV)
C
C N number of data points
C TIME vector of time points
C A a vector of values of a function G(TIME)
C T independent time point
C SPLE is a value of a function at T, i.e. SPLE=G(T).
C
USE SIZEMOD
IMPLICIT NONE
INTEGER, INTENT(IN):: N
REAL*8, INTENT(IN) :: T
REAL*8, DIMENSION(:), INTENT(IN) :: A,TIMEV
REAL*8 :: T1
INTEGER :: I
SPLE=-9.9d0
IF (T.LT.TIMEV(1) .OR. T.GT.TIMEV(N)) RETURN
DO I=2,N
IF (T.LT.TIMEV(I)) GO TO 10
ENDDO
10 I=I-1
T1=T-TIMEV(I)
SPLE=A(I)+T1*(A(I+1)-A(I))/(TIMEV(i+1)-TIMEV(I))
RETURN
END FUNCTION SPLE
SUBROUTINE COVG(XL0,XL2,XL4,COV1,COV2,COV3,COV,T,N)
C
C Covariance function and its four derivatives for a vector T of length N
C is assumed in a vector COV; COV(1,...,N,1)=r(T), COV(1,...,N, 2)=r'(T), etc.
C The vector COV should be of the shape N x 5.
C
C COVG Returns:
C XL0,XL2,XL4 - spectral moments.
C
C Covariance matrices COV1=r'(T-T), COV2=r''(T-T) and COV3=r'''(T-T)
C Dimension of COV1, COV2 should be atleast N*N.
C
USE SIZEMOD
! IMPLICIT NONE
C INTEGER, PARAMETER:: NMAX = 101, RDIM = 10201
REAL*8, PARAMETER:: ZERO = 0.0d0
REAL*8, intent(inout) :: XL0,XL2,XL4
REAL*8, DIMENSION(N,5), intent(in) :: COV
REAL*8, DIMENSION(N), intent(in) :: T
REAL*8, DIMENSION(RDIM), intent(inout) :: COV1,COV2,COV3
INTEGER, intent(in) :: N
integer :: I, J, II
REAL*8 :: TT, T0
C
C COV(Y(T),Y(0)) = COV(:,1)
C DERIVATIVE COV(Y(T),Y(0)) = COV(:,2)
C 2-DERIVATIVE COV(Y(T),Y(0)) = COV(:,3)
C 3-DERIVATIVE COV(Y(T),Y(0)) = COV(:,4)
C 4-DERIVATIVE COV(Y(T),Y(0)) = COV(:,5)
XL0 = COV(1,1)
XL2 = -COV(1,3)
XL4 = COV(1,5)
! XL0 = SPLE(NT, ZERO, COV(:,1), T)
! XL2 = -SPLE(NT, ZERO, COV(:,3), T)
! XL4 = SPLE(NT, ZERO, COV(:,5), T)
II=0
DO I=1,N
DO J=1,N
II = II+1
T0 = T(J)-T(I)
TT = ABS(T0)
COV1(II) = SPLE(N, TT, COV(:,2), T)
COV2(II) = SPLE(N, TT, COV(:,3), T)
COV3(II) = SPLE(N, TT, COV(:,4), T)
IF (T0.LT.0.0d0) then
COV1(II)=-COV1(II)
COV3(II)=-COV3(II)
endif
enddo
enddo
RETURN
END SUBROUTINE COVG
END module intfcmod