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Copy pathSpectral_Analysis_routines_v1p1.f90
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Spectral_Analysis_routines_v1p1.f90
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!======================================================================+
! SPECTRAL_ANALYSIS
! Module to derive power/amplitude spectrum from an input time series
!======================================================================+
!
! Contact information:
! Garry Hayman
! Centre for Ecology and Hydrology
! Wallingford
! Oxfordshire, OX10 8BB
! United Kingdom
!
! email: garr@ceh.ac.uk
! http://www.ceh.ac.uk
!
! Development history
!
! Date Version Author Description
! 11/13 1.0 GDH Initial version developed as
! FORTRAN module from Graham Weedon's
! time series FORTRAN code for use
! with PYTHON.
!
! 11/19 1.1 GDH Release version
!
!======================================================================+
!
! This contains subroutines and functions
!
! Subroutines
! -----------
!
! TIME_SERIES_RUNFILE
! TIME_SERIES_GRIDDED
! TIME_SERIES_DATA_EXTRACT
! TIME_SERIES
! SOLVE
! HPSORT
!
! Functions
! ---------
! ROFUNC
! RAN1
! GASDEV
! BRENT
! XLS
! BRENT2
! XLS2
! BRENT3
! XLS3
!
!======================================================================+
MODULE MODULE_TIME_SERIES_DATA
!======================================================================+
! Declaration of Parameters/Variables common to
! all routines and modules
IMPLICIT NONE
! Define limits for arrays:
INTEGER,PARAMETER :: &
NMAX = 300001, &
NMAXB = 150000
INTEGER :: &
NDATAT
REAL :: &
AA,ABDEVT
REAL,DIMENSION(NMAX) :: &
XT,YT,ARR
REAL,ALLOCATABLE :: &
data_local(:),time_local(:)
CHARACTER (len=50) :: &
time_series_routine
SAVE
END MODULE MODULE_TIME_SERIES_DATA
!======================================================================+
MODULE MODULE_TIME_SERIES_PROCEDURES
!======================================================================+
CONTAINS
!======================================================================+
SUBROUTINE TIME_SERIES_RUNFILE(tsfile,fmt,pnyq,pray,cfix,cpower, &
cfit,nmin,nfit0,kmk,xlowp,xhighp,xnray,xnyq,crit_freq, &
iconf_level,miss_data)
!======================================================================+
USE MODULE_TIME_SERIES_DATA
IMPLICIT NONE
INTEGER :: &
ios
INTEGER,INTENT(OUT) :: &
nmin,nfit0,kmk,iconf_level
REAL,INTENT(OUT) :: &
crit_freq,miss_data,xlowp,xhighp,xnray,xnyq
CHARACTER (len= 1),INTENT(OUT) :: &
pnyq,pray,cfix,cpower,cfit
CHARACTER (len= 1) :: &
proc1,proc2
CHARACTER (len= 41) :: &
header
CHARACTER (len= 60),INTENT(OUT) :: &
fmt
CHARACTER (len= 80),INTENT(OUT) :: &
tsfile
CHARACTER (len=100) :: &
runfile
!-----------------------------------------------------------------------
time_series_routine = 'time_series_runfile'
WRITE(*,*) 'In routine: ',time_series_routine
! Garry Hayman
! November 2013
! Removed all READ statement; variables to be passed to code by calling
! program
runfile='z_INPUT/time_series_runfile.dat'
OPEN(UNIT=2,FILE=runfile,IOSTAT=ios,STATUS='OLD')
! Garry Hayman
! October 2010
! Input minimum number of data points
READ(2,'(41X,I5)' ,IOSTAT=ios) nmin
! Input values of lowest and highest acceptable value to remove outliers
READ(2,'(41X,F8.2)',IOSTAT=ios) xlowp
READ(2,'(41X,F8.2)',IOSTAT=ios) xhighp
! Input Proceed with program? Proceed = P, Stop = S
READ(2,'(41A,A)' ,IOSTAT=ios) header,proc1
! Read in time series data from "TSFILE" as arrays T (= observation
! time or position) and V (variable value or rock type code).
READ(2,'(41A,(A))') header,TSFILE
WRITE(*,'(A)') TSFILE
! Enter the Fortran format for the location of the Observation time and variable value
READ(2,'(41A,(A))',IOSTAT=ios) header,fmt
! Input missing data value
READ(2,'(41X,F8.2)',IOSTAT=ios) miss_data
! Do you want to stop the program here?
READ(2,'(41A,A)',IOSTAT=ios) header,proc2
! Observation time/stratigraphic units
READ(2,'(41X,I1)',IOSTAT=ios) kmk
! Change the Rayleigh Frequency? (Y or N)
READ(2,'(41A,A)',IOSTAT=ios) header,pray
READ(2,*,IOSTAT=ios) xnray
! Change the Nyquist Frequency? (Y or N)
READ(2,'(41A,A)',IOSTAT=ios) header,pnyq
xnyq = 0.0
cfix = 'N'
! Absolute or relative power? Abs. = A, Rel. = R
READ(2,'(41A,A)',IOSTAT=ios) header,cpower
! Choose the form of the spectral background
READ(2,'(41X,I1)',IOSTAT=ios) nfit0
! Quadratic (Q) or power law (P) fit
READ(2,'(41A,A)') header,cfit
!
! Input critical frequency
READ(2,'(41X,F8.2)',IOSTAT=ios) crit_freq
! Select confidence level (1=90%,2=95%,3=99%)
READ(2,'(41X,I1)',IOSTAT=ios) iconf_level
WRITE(*,*) crit_freq,iconf_level,miss_data, &
xnray,xnyq,nfit0,kmk,pray,pnyq,cpower,cfit
WRITE(*,*) 'End of input from runfile.... '
!
! Return to calling routine
RETURN
END SUBROUTINE TIME_SERIES_RUNFILE
!
!======================================================================+
SUBROUTINE TIME_SERIES_GRIDDED(data_name,DIM_DATA,NSIZE,NTIMES, &
nfreqs,nrays,data_all,time_all,dates,power, &
NMIN,XLOWP,XHIGHP,xnrays,XNYQ,FMT,NFIT0,KMK,PRAY,PNYQ, &
CFIX,CPOWER,CFIT,crit_freqs,iconf_level,miss_data, &
FILENAME,nspect,nspect_valid,use_flag,error_flags,debug)
!======================================================================+
USE MODULE_TIME_SERIES_DATA
IMPLICIT NONE
INTEGER,PARAMETER :: &
max_dims = 10, &
max_size = 200
INTEGER,INTENT(IN) :: &
nsize,nmin,nfit0,kmk,ntimes,nfreqs,iconf_level,nrays,use_flag
INTEGER,INTENT(IN) :: &
DIM_DATA(max_dims+1),DATES(NTIMES,3)
INTEGER,INTENT(OUT) :: &
nspect,nspect_valid,error_flags(nsize,nfreqs)
INTEGER :: &
IPOWER,JPOWER,IPEAK,NDATA,ISIZE,ifreq,itime,MN,error_flag, &
IDIM,IDIM1,IDIM2,IDIM3,IDIM4,NDIMS,NDIM1,NDIM2,NDIM3,NDIM4, &
IFLAG_MON,IFLAG_SEA
REAL,INTENT(IN) :: &
XLOWP,XHIGHP,MISS_DATA
REAL,INTENT(INOUT) :: &
XNYQ
REAL,INTENT(IN) :: &
DATA_ALL(NSIZE,NTIMES),TIME_ALL(NTIMES), &
xnrays(nrays),crit_freqs(nfreqs)
REAL,INTENT(OUT) :: &
POWER(NSIZE,nfreqs)
REAL :: &
xnray,bandwidth,variance,freq,freq_min,freq_max,peak_power, &
OUTPUT(NMAXB,7),DATA_MOD(NMAX),TIME_MOD(NMAX), &
output_red(nfreqs,7)
!
CHARACTER (len= 1),INTENT(INOUT) :: &
PNYQ,PRAY,CFIX,CPOWER,CFIT,DEBUG
CHARACTER (len=60),INTENT(IN) :: &
FMT
CHARACTER (len=20),INTENT(IN) :: &
data_name
CHARACTER (len=150),INTENT(IN) :: &
FILENAME
CHARACTER (len=1) :: &
CFLAG
CHARACTER (len=30) :: &
GRID_REF(NSIZE)
!-----------------------------------------------------------------------
time_series_routine = 'time_series_gridded'
WRITE(*,*) 'In routine: ',time_series_routine
IF (debug == 'Y') THEN
WRITE(*,'(A11,I2,I6)') 'USE_FLAG = ',USE_FLAG,NTIMES
DO itime=1,NTIMES
WRITE(*,'(3(I4))') DATES(itime,1),DATES(itime,2), &
DATES(itime,3)
END DO
END IF
! Allocate arrays: time_local,data_local
ALLOCATE(time_local(ntimes))
ALLOCATE(data_local(ntimes))
WRITE(*,*) FILENAME
WRITE(CFLAG,'(I1)') USE_FLAG
OPEN(UNIT=7,FILE=TRIM(FILENAME)//'_F'//CFLAG//'.spc')
OPEN(UNIT=8,FILE=TRIM(FILENAME)//'_F'//CFLAG//'_red.spc')
IF (NSIZE <= max_size) OPEN(UNIT=9,FILE=TRIM(FILENAME)//'_F'//CFLAG//'.dat')
! DATA, NUMBER and TIME contain the data, number of data points
! and the time points
NDIMS = DIM_DATA(1)
IF (NDIMS .GT. max_dims) THEN
WRITE(*,*) '*** Exceeded maximum number of dimensions ***',NDIMS,max_dims
STOP
ENDIF
! Assign grid square indices for ease
IF (NDIMS .EQ. 2) THEN
NDIM1 = DIM_DATA(3)
DO IDIM1 = 1,NDIM1
IDIM = IDIM1
! WRITE(*,'(I6)') IDIM1
WRITE(GRID_REF(IDIM),'(I6)') IDIM1
ENDDO ! Loop over IDIM1
ELSE IF (NDIMS .EQ. 3) THEN
NDIM1 = DIM_DATA(3)
NDIM2 = DIM_DATA(4)
DO IDIM1 = 1,NDIM1
DO IDIM2 = 1,NDIM2
IDIM = (IDIM1-1)*NDIM2+IDIM2
! WRITE(*,'(I6,I6,I6)') IDIM,IDIM1,IDIM2
WRITE(GRID_REF(IDIM),'(I6,I6)') IDIM1,IDIM2
ENDDO ! Loop over IDIM2
ENDDO ! Loop over IDIM1
ELSE IF (NDIMS .EQ. 4) THEN
NDIM1 = DIM_DATA(3)
NDIM2 = DIM_DATA(4)
NDIM3 = DIM_DATA(5)
DO IDIM1 = 1,NDIM1
DO IDIM2 = 1,NDIM2
DO IDIM3 = 1,NDIM3
IDIM = ((IDIM1-1)*NDIM2+(IDIM2-1))*NDIM3+IDIM3
! WRITE(*,'(I6,I6,I6,I6)') IDIM,IDIM1,IDIM2,IDIM3
WRITE(GRID_REF(IDIM),'(I6,I6,I6)') IDIM1,IDIM2,IDIM3
ENDDO ! Loop over IDIM3
ENDDO ! Loop over IDIM2
ENDDO ! Loop over IDIM1
ENDIF
! Loop over length of vector - defined by ndata
nspect = 0
nspect_valid = 0
time_local = time_all(:)
xnray = xnrays(1)
DO 100 ISIZE=1,NSIZE
WRITE(7,1000) TRIM(GRID_REF(ISIZE))
IF (debug == 'Y') WRITE(*,1000) TRIM(GRID_REF(ISIZE))
! Extract data
xnyq = 0.0
variance = 0.0
bandwidth = 0.0
output_red = 0.0
data_local = data_all(ISIZE,:)
CALL TIME_SERIES_DATA_EXTRACT(NTIMES,ndata, &
DATA_MOD,TIME_MOD,DATES,IFLAG_MON,IFLAG_SEA, &
MISS_DATA,DEBUG)
! WRITE(*,*) NMIN,ndata
! Select option depending on ndata
! (1) If no data, set to missing data
IF (ndata .EQ. 0) THEN
!
ERROR_FLAG = -999
WRITE(7,1010) ERROR_FLAG
POWER(isize,:) = MISS_DATA
ERROR_FLAGS(isize,:) = ERROR_FLAG
ELSE IF (ndata .LT. NMIN) THEN
ERROR_FLAG = -2
WRITE(7,1010) ERROR_FLAG
POWER(isize,:) = -2.0
ERROR_FLAGS(isize,:) = ERROR_FLAG
ELSE IF (ndata .GE. NMIN) THEN
! Derive time-series if ndata > NMIN
! Assign Rayleigh frequency
IF (nrays > 1) xnray = xnrays(isize)
CALL TIME_SERIES(ndata,NMIN,DATA_MOD,TIME_MOD,XLOWP,XHIGHP,XNRAY,XNYQ, &
FMT,NFIT0,KMK,PRAY,PNYQ,CFIX,CPOWER,CFIT, &
MN,bandwidth,variance,OUTPUT,ERROR_FLAG)
WRITE(7,1010) ERROR_FLAG
nspect = nspect+1
ERROR_FLAGS(isize,:) = ERROR_FLAG
IF (error_flag == 0) THEN
nspect_valid = nspect_valid+1
WRITE(7,1015) ndata,bandwidth,variance
DO IPOWER=1,MN
WRITE(7,1020) (OUTPUT(IPOWER,JPOWER),JPOWER=1,7)
ENDDO ! Loop over MN
DO ifreq=1,nfreqs
freq_min = crit_freqs(ifreq)-bandwidth/2.0
freq_max = crit_freqs(ifreq)+bandwidth/2.0
peak_power = 0.0
DO IPOWER=1,MN
freq = OUTPUT(IPOWER,1)
IF (freq >= freq_min .and. freq <= freq_max .and. &
OUTPUT(IPOWER,3) >= peak_power) THEN
peak_power = OUTPUT(IPOWER,3)
ipeak = ipower
output_red(ifreq,:) = OUTPUT(ipeak,:)
END IF
ENDDO ! Loop over MN
! Assign power
IF ((peak_power >= OUTPUT(ipeak,4+iconf_level)) .AND. &
((use_flag .EQ. 0) .OR. &
(use_flag .EQ. 1 .AND. IFLAG_MON .EQ. 1) .OR. &
(use_flag .EQ. 2 .AND. IFLAG_SEA .EQ. 1))) THEN
IF (cpower == 'A' .or. cpower == 'a') THEN
POWER(isize,ifreq) = peak_power
ELSE
POWER(isize,ifreq) = SQRT(0.5*peak_power*variance/0.147)
END IF
ELSE IF (use_flag .EQ. 1 .AND. IFLAG_MON .EQ. 0) THEN
POWER(isize,ifreq) = -2
ERROR_FLAGS(isize,ifreq) = -3
ELSE IF (use_flag .EQ. 2 .AND. IFLAG_SEA .EQ. 0) THEN
POWER(isize,ifreq) = -2
ERROR_FLAGS(isize,ifreq) = -4
ELSE
POWER(isize,ifreq) = -1
ERROR_FLAGS(isize,ifreq) = -1
END IF
ENDDO ! Loop over NFREQS
ELSE
DO ifreq=1,nfreqs
POWER(isize,ifreq) = -1
ERROR_FLAGS(isize,ifreq) = -1
ENDDO ! Loop over NFREQS
ENDIF
ENDIF
DO ifreq=1,nfreqs
IF (debug == 'Y') WRITE(*,1010) ERROR_FLAGS(isize,ifreq)
WRITE(8,1025) GRID_REF(ISIZE),ndata,error_flags(isize,ifreq), &
variance,crit_freqs(ifreq),bandwidth, &
(output_red(ifreq,JPOWER),JPOWER=1,7)
ENDDO ! Loop over NFREQS
! Output input data for debug purposes
IF (NSIZE <= max_size) THEN
WRITE(9,1000) TRIM(GRID_REF(ISIZE))
WRITE(9,1030) ndata,xnray,xnyq
DO itime=1,ndata
WRITE(9,FMT) time_mod(itime),data_mod(itime)
END DO
END IF
100 ENDDO ! Loop over NSIZE
CLOSE(7)
! Deallocate arrays: time_local,data_local
DEALLOCATE(time_local)
DEALLOCATE(data_local)
! FORMAT statements
1000 FORMAT('Grid reference = ',A30)
1010 FORMAT('Error Flag = ',I6)
1015 FORMAT('Number of data points = ',I6, &
/'Bandwidth = ',F14.8, &
/'Variance = ',F14.8)
1020 FORMAT(F11.5,1X,F11.4,5(1X,F11.6))
1025 FORMAT(A20,2I6,F12.4,9(1X,F11.5))
1030 FORMAT('Number of data points = ',I6, &
/'Rayleigh frequency = ',F14.8, &
/'Nyquist frequency = ',F14.8)
! Return to calling routine
!
RETURN
END SUBROUTINE TIME_SERIES_GRIDDED
!======================================================================+
SUBROUTINE TIME_SERIES_DATA_EXTRACT(NTIMES_IN,NTIMES_OUT, &
DATA_MOD,TIME_MOD,DATES,IFLAG_MON,IFLAG_SEA, &
MISS_DATA,DEBUG)
!======================================================================+
USE MODULE_TIME_SERIES_DATA
IMPLICIT NONE
INTEGER,INTENT(IN) :: &
ntimes_in,dates(ntimes_in,3)
INTEGER,INTENT(OUT) :: &
ntimes_out,iflag_mon,iflag_sea
INTEGER :: &
itime,iyear,imonth,iday,iseason,months(12),seasons(4)
INTEGER,DIMENSION(12) :: &
mon2season = (/ 1,1,2,2,2,3,3,3,4,4,4,1 /)
REAL,INTENT(IN) :: &
MISS_DATA
REAL,INTENT(OUT) :: &
DATA_MOD(NMAX),TIME_MOD(NMAX)
CHARACTER (len= 1),INTENT(IN) :: &
DEBUG
CHARACTER (len=10) :: &
TEMP_DATE
!-----------------------------------------------------------------------
time_series_routine = 'time_series_data_extract'
IF (DEBUG == 'Y') WRITE(*,*) 'In routine: ',time_series_routine
! DATA and TIME contain the data and the time points at a particular location
IF (DEBUG == 'Y') WRITE(*,*) ntimes_in
ntimes_out = 0
DATA_MOD = MISS_DATA
TIME_MOD = MISS_DATA
MONTHS = 0
SEASONS = 0
iflag_mon = 1
iflag_sea = 1
! Loop over data, removing any missing data
DO 100 itime=ntimes_in,1,-1
iyear = DATES(itime,1)
imonth = DATES(itime,2)
iday = DATES(itime,3)
iseason = mon2season(imonth)
IF (debug == 'Y') WRITE(*,*) itime,iyear,imonth,iday,iseason
IF (data_local(itime) /= MISS_DATA) THEN
ntimes_out = ntimes_out+1
MONTHS(imonth) = MONTHS(imonth)+1
SEASONS(iseason) = SEASONS(iseason)+1
DATA_MOD(ntimes_out) = data_local(itime)
TIME_MOD(ntimes_out) = time_local(itime)
IF (DEBUG == 'Y') WRITE(*,*) itime,ntimes_out, &
TIME_MOD(ntimes_out),DATA_MOD(ntimes_out), &
time_local(itime),data_local(itime)
END IF
100 END DO
IF (DEBUG == 'Y') THEN
WRITE(*,*) 'Months'
WRITE(*,*) MONTHS
WRITE(*,*) 'Seasons'
WRITE(*,*) SEASONS
END IF
! See whether data in all months/seasons
DO 110 imonth=1,12
IF (MONTHS(imonth) == 0) iflag_mon = 0
110 END DO
DO 120 iseason=1,4
IF (SEASONS(iseason) == 0) iflag_sea = 0
120 END DO
! Return to calling routine
!
RETURN
END SUBROUTINE TIME_SERIES_DATA_EXTRACT
!======================================================================+
SUBROUTINE TIME_SERIES(NDATA,NMIN,XINPUT,TINPUT,XLOWP,XHIGHP, &
XNRAY,XNYQ,FMT,NFIT0,KMK,PRAY,PNYQ,CFIX,CPOWER,CFIT, &
MN,BW,VARX1,OUTPUT,ERROR_FLAG)
!======================================================================+
USE MODULE_TIME_SERIES_DATA
IMPLICIT NONE
! References to FUNCTION names not needed as accessed through module
REAL,EXTERNAL :: &
ROFUNC,GASDEV
DOUBLE PRECISION,EXTERNAL :: &
BRENT,BRENT2,BRENT3,XLS,XLS2,XLS3
! Declare local integer variables and arrays:
INTEGER,INTENT(IN) :: &
NMIN,NFIT0
INTEGER,INTENT(OUT) :: &
MN,ERROR_FLAG
REAL,INTENT(IN) :: &
XLOWP,XHIGHP,XINPUT(NMAX),TINPUT(NMAX)
REAL,INTENT(INOUT) :: &
XNRAY,XNYQ
REAL,INTENT(OUT) :: &
BW,VARX1
REAL,DIMENSION(NMAXB,7),INTENT(OUT) :: &
OUTPUT
INTEGER :: &
I,J,K,L,N,IOS,IOS2,NDATA,NSTAT,NSTOP,NSTART,NINT, &
NREV,NIRR,NREVINT,NVARY,NORIG,NOUT,NOUT1,NOUTN,NEW,NDOF, &
NARSIM,NMU,NCC,NSS,NFIT,NSPECB,NWMAX,NWMIN,NWIND,NWIND2, &
NWIND2B,IR,MID,NROWS,KMK,MUDEST,MEDPOS,MEDPOS2,MEDPOS2I, &
NMED,IORD1,NP1,NSIM,NARSIMC,IDUM,NBIASC,NST,NTOT,NTOT2,IA, &
ID,NMIS,CTLIM,CTLIM1,CTLIM2,CTLIM3,PSTOP,NFLIM,NLIM1,NLIM2, &
NPOS,NNEG,PSTOP1,OUTI
REAL :: &
Y(NMAXB),XMEDIAN(NMAXB),XLFREQ(NMAXB),XLSPBIAS(NMAXB), &
XLP(NMAXB),ARP2(NMAXB),XLARSP(NMAXB),BIASF(NMAXB),XLOGA(NMAXB), &
XOUT(NMAXB),PSMTH(NMAXB),ARSPAVE(NMAXB),AC(NMAXB),BC(NMAXB), &
CIH(10),CIW(10),BWH(10),BWV(10),B(20,20),C(20),XP(20), &
ROUT(NMAX),P(NMAXB),FREQ(NMAXB),X(NMAX),X2(NMAX),SROH, &
SYINTA,SYINTB,AVE,CCOS,CC,CWTAU,PNOW,SSIN,SS,SUMC,SSDIFF,EP, &
SYINTD,SUMCY,SUMS,SUMSH,SUMSY,SWTAU,VARX,WTAU,STAVE,STDIF, &
XMAX,XMIN,YY,ANSTART,XNNYQ,XNEW,AMN,AN,DEL,A,BB,BIT, &
CHISQ,ZINTMIN,ANWIND,ANWIND2,ANWIND2B,XXP,YYP,XNSIM, &
XLSIN,XLSMIN,ZINT1,STVAL,ZINT,ZINTMAX,ZINTVA,ZINTVB,XVMIN, &
XVMAX,STRATD,XMAXT,XMINT,ANORIG,XFINT,XFINT1,XF4,XF2, &
XNYN,XNDOF,SX,SY,SXY,SXX,SIGB,B1,B2,F,F1,F2,XINTERC,SLOPE, &
ABDEV,XFIT,AL,TAU,TAUMIN,SCALT,STDIFF,STDEV,XLSOF, &
SDIFF,AI,TOTP,TOTP1,ZTEST,SUM,SOLMEAN,SO,SOF,TEMP,SELCT, &
TMP,DIFF,ANTOT,ANTOT2,TSLEN,XPERIOD,XMINPER,XMAXPER,PA,PB, &
PC,TEMPER,TLOGP,TLFRE,TEMPBK,TEMP90,TEMP95,TEMP99,ANMED, &
XMAXLP,XMINLP,DIFFMAX,SOF2,SOFNEW,PROP,XLIM
DOUBLE PRECISION :: &
ARG,WTEMP,WI(NMAX),WPI(NMAX),WPR(NMAX),AMIN, &
WR(NMAX),DUMMA,DUMMB,XSCAL(NMAX),TSCAL(NMAX), &
DUM1,DUM2,DUM3,DUM4,DUM5, &
AR11,AR12,AR13,XLOUT(NMAXB),XFR(NMAXB),SOFA,XPI,XNYQ1, &
SOFT,GUESS,SOFIT,SOLMIN,SOLMAX,SOLINT,SOLMID, &
SOLMI,SOLMD,SOLMA,XNYQNEW,XLARP2(NMAXB),YINTA(NMAXB), &
YINTB(NMAXB),YINTD(NMAXB),RANGE,DUMMIN,XPROP,WEIGHT,XLNYQ, &
XLFR(NMAXB),ROH,ROHT,ROHB,ROH2,ROHF,ROHI,ROHN,ROHF2,R90, &
R95,R99,XLSUM,XARP2,XLP2,XLMIN,XLREV,BRENTSUM,XINT,STRAT1, &
STRAT(NMAX),XINTFIX,FACTOR
DOUBLE PRECISION,PARAMETER :: &
AR1 = 0.367879441E+00, TOL = 3.0E-08, TOL2 = 1.0E-06, &
TWOPID = 6.2831853071795865
CHARACTER (len= 1),INTENT(INOUT) :: &
PNYQ,PRAY,CFIX,CPOWER,CFIT
CHARACTER (len=41) :: &
HEADER
CHARACTER (len=60),INTENT(IN) :: &
FMT
CHARACTER (len=80) :: &
TSFILE
!-----------------------------------------------------------------------
! RUNFILE='/data/grp/eow/garr/Projects/Methane/CODE/FORTRAN/'// &
! 'z_POWER/spectral_runfile.dat'
! OPEN(UNIT=2,FILE=RUNFILE,IOSTAT=IOS,STATUS='OLD')
time_series_routine = 'time_series'
WRITE(*,*) 'In routine: ',time_series_routine
WRITE(*,*) fmt
WRITE(*,*) xlowp,xhighp,nfit0,cfit,kmk,xnray,xnyq,pray,pnyq
! Garry Hayman
! November 2013
! Commented out all READ statement; variables to be passed to code
! by calling program
!
! January 2014
! PYTHON code written to comment out INPUT/OUTPUT-related statements
! (WRITE, FORMAT, OPEN and CLOSE)
! Replaced uncommented STOP with RETURN and error code in ERROR_FLAG
ERROR_FLAG = 0
TSFILE = 'From Python-FORTRAN'
WRITE(*,2)
WRITE(*,*)
WRITE(*,*)'*** SPECTRA.F ***'
WRITE(*,*)'*** Lomb-Scargle power spectrum for ***'
WRITE(*,*)'*** regularly or irregularly spaced data. ***'
WRITE(*,*)'*** Graham P. Weedon, 2009 ***'
WRITE(*,*)
WRITE(*,2)
WRITE(*,*)
WRITE(*,*)'Data file requirements:'
WRITE(*,*)'a: Each line = Observation time, Variable value.'
WRITE(*,*)'b: The time between observations can be fixed or'
WRITE(*,*)' variable.'
WRITE(*,*)'c: Data must be ascii aligned columns (fixed format),'
WRITE(*,*)' but with NO TEXT headers.'
! Garry Hayman
! October 2010
! Input minimum number of data points
! READ(2,'(41X,I5)',IOSTAT=IOS)N
WRITE(*,5) NMIN
2 FORMAT(' *************************************************** ')
5 FORMAT(' d: The time series must have > ',I4, &
' and < 300,000 points')
!
WRITE(*,*)'e: The latest observation should be the first line.'
WRITE(*,*)
WRITE(*,*)'Program input needed:'
WRITE(*,*)'a: The time series filename.'
WRITE(*,*)'b: The FORTRAN format of the data.'
WRITE(*,*)'c: The sample interval and units'
WRITE(*,*)' (e.g. day, year, kyr, m).'
WRITE(*,*)
WRITE(*,*)'Program output:'
WRITE(*,*)'To file: spectral data are written to "spectrum"'
WRITE(*,*)' and to "logspec".'
! Garry Hayman
! October 2010
! Input values of lowest and highest acceptable value to remove outliers
WRITE(*,*)
WRITE(*,*) 'Minimum and maximum acceptable values '
! READ(2,'(41X,F8.2)',IOSTAT=IOS)XLOWP
WRITE(*,'(F8.2)')XLOWP
! READ(2,'(41X,F8.2)',IOSTAT=IOS)XHIGHP
WRITE(*,'(F8.2)')XHIGHP
! Garry Hayman
! January 2014
! Commented out DO loop 10 as assumed will proceed
! CTLIM=0
! DO 10
! CTLIM=CTLIM+1
! IF(CTLIM > 5)EXIT ! EXIT DO 10
! WRITE(*,*)
! WRITE(*,*)' Proceed with program? Proceed = P, Stop = S:'
! READ(2,'(41A,A)',IOSTAT=IOS)HEADER,PROC
! WRITE(*,'(A)') PROC
! IF(PROC == 'P'.OR.PROC == 'p')EXIT ! EXIT DO 10
! IF(PROC == 'S'.OR.PROC == 's')STOP
! IF(IOS /= 0)THEN
! WRITE(*,*)
! WRITE(*,*)' *** Enter P or S ***'
! CYCLE ! CYCLE DO 10
! ENDIF
! 10 ENDDO
! Time series data passed to SUBROUTINE as arrays TINPUT (= observation
! time or position) and XINPUT (variable value or rock type code).
! Garry Hayman
! January 2014
! Commented out DO loop 25 as no longer reading from datafile
! DO 25
! 15 WRITE(*,*)
! WRITE(*,*)' Enter time series filename:'
! WRITE(*,*)' (Nb file must be in current directory).'
! WRITE(*,*)' (Nb filename must be no more than 80 characters).'
! WRITE(*,*)' Example file = bmbase'
! WRITE(*,*)
! READ(2,'(41A,(A))',ERR=15)HEADER,TSFILE
! WRITE(*,'(A)') TSFILE
! OPEN(UNIT=1,FILE=TSFILE,IOSTAT=IOS,STATUS='OLD')
! IF(IOS /= 0)THEN
! WRITE(*,*)
! WRITE(*,20)TSFILE
! 20 FORMAT(' *** Error opening ',A,'***')
! WRITE(*,*)' *** (Filename must not have more than ***'
! WRITE(*,*)' *** 3 characters after point. ***'
! WRITE(*,*)
! WRITE(*,*)' *** Try entering filename again or ***'
! WRITE(*,*)' *** use <Ctrl> & <C> to end program. ***'
! CYCLE ! CYCLE DO 25
! ELSE
! EXIT ! EXIT DO 25
! ENDIF
! 25 ENDDO
! Garry Hayman
! January 2014
! Commented out DO loop 30 as no longer reading from datafile
! CTLIM=0
! DO 30
! CTLIM=CTLIM+1
! IF(CTLIM > 5)THEN
! WRITE(*,*)
! WRITE(*,*)' *** Format not set ***'
! STOP ! STOP
! ENDIF
! WRITE(*,*)
! WRITE(*,*)' Enter the Fortran format for the location of the'
! WRITE(*,*)' Observation time and variable value.'
! WRITE(*,*)
! WRITE(*,*)' eg. bmbase uniform spacing: (18X,F5.2,3X,F5.2)'
! WRITE(*,*)' eg. bmbase irregular spacing: (9X,F7.4,10X,F5.2)'
! WRITE(*,*)
! READ(2,'(41A,(A))',IOSTAT=IOS)HEADER,FMT
! WRITE(*,'(A)')FMT
! IF(IOS /= 0)THEN
! WRITE(*,*)
! WRITE(*,*)' *** Format entry problem (type brackets). ***'
! CYCLE ! CYCLE DO 30
! ELSE
! EXIT ! EXIT DO 30
! ENDIF
! 30 ENDDO
NROWS=0
DO 50 I=1,NDATA
! NROWS=NROWS+1
! READ(1,FMT,END=55,IOSTAT=IOS)STRAT(NROWS),X(NROWS)
! IF(IOS /= 0)THEN
! WRITE(*,*)
! WRITE(*,*)' *** Problem with format statement ***'
! WRITE(*,*)' *** Memo: Remove text headings ***'
! STOP
! ENDIF
! Garry Hayman
! October 2010
! Remove line if outlier
IF(XINPUT(I) < XLOWP .OR. XINPUT(I) > XHIGHP) THEN
WRITE(*,51) I
51 FORMAT('Outlier removed at row',I6)
WRITE(*,FMT) TINPUT(I),XINPUT(I)
ELSE
NROWS=NROWS+1
X(NROWS) = XINPUT(I)
STRAT(NROWS) = TINPUT(I)
ENDIF
50 ENDDO
N = NROWS
NSTART = N
ANSTART = N
NFIT = NFIT0
! Check for irregularly spaced data. Compare observation times
! for first two points with all others. If variation exceeds +/-5.0%
! then data are considered to be irregularly spaced.
60 FORMAT(' Obs. time Line')
61 FORMAT(2X,F10.5,2X,I6)
!
NINT=0
NREV=0
NIRR=0
NREVINT=0
ZINT1=STRAT(1)-STRAT(2)
! ZINT1 GT 0.0
IF(ZINT1 > 0.0)THEN
STVAL=1.0
ZINTMIN=ZINT1
ZINTMAX=ZINT1
ZINTVA=ZINT1*1.05
ZINTVB=ZINT1*0.95
DO 64 I=2,N-1
ZINT=STRAT(I)-STRAT(I+1)
IF(ZINT <= 0.0)NREV=NREV+1
IF(NREV == 1)THEN
NREVINT=NREVINT+1
IF(NREVINT == 1)THEN
OPEN(UNIT=11,FILE='tsrev')
WRITE(11,60)
ENDIF
ENDIF
IF(ZINT <= 0.0)WRITE(11,61)STRAT(I+1),I
IF(ZINT > ZINTVA)THEN
NINT=NINT+1
IF(ZINTMAX < ZINT)ZINTMAX=ZINT
ENDIF
IF(ZINT < ZINTVB)THEN
NINT=NINT+1
IF(ZINTMIN > ZINT)ZINTMIN=ZINT
ENDIF
64 ENDDO
! ZINT1 LE 0.0
ELSE
STVAL=-1.0
ZINT1=STRAT(2)-STRAT(1)
ZINTMIN=ZINT1
ZINTMAX=ZINT1
ZINTVA=ZINT1*1.05
ZINTVB=ZINT1*0.95
DO 65 I=2,N-1
ZINT=STRAT(I+1)-STRAT(I)
IF(ZINT <= 0.0)NREV=NREV+1
IF(NREV == 1)THEN
NREVINT=NREVINT+1
IF(NREVINT == 1)THEN
OPEN(UNIT=11,FILE='tsrev')
WRITE(11,60)
ENDIF
ENDIF
IF(ZINT <= 0.0)WRITE(11,61)STRAT(I+1),I
IF(ZINT > ZINTVA)THEN
NINT=NINT+1
IF(ZINTMAX < ZINT)ZINTMAX=ZINT
ENDIF
IF(ZINT < ZINTVB)THEN
NINT=NINT+1
IF(ZINTMIN > ZINT)ZINTMIN=ZINT
ENDIF
65 ENDDO
ENDIF
IF(NINT >= 1)THEN
NIRR=1
IF(NREV > 0)THEN
CLOSE(UNIT=11)
WRITE(*,*)
WRITE(*,66)NREV
66 FORMAT(' PROBLEM: There are ',I7)
WRITE(*,*)' equal or reversed observation times !'
WRITE(*,*)
WRITE(*,*)' Consult output file "tsrev" for list'
WRITE(*,*)' of equal or reversed observation times'
WRITE(*,*)
error_flag = -1
RETURN
ENDIF
WRITE(*,*)
WRITE(*,*)' *************************************************'
WRITE(*,*)' *** It appears that the data have irregularly ***'
WRITE(*,67)NINT
67 FORMAT(' *** spaced values/gaps at ',I7,' levels.***')
WRITE(*,68)ZINTMIN
68 FORMAT(' *** Minimum interval detected = ',F12.6,' ***')
WRITE(*,69)ZINTMAX
69 FORMAT(' *** Maximum interval detected = ',F12.6,' ***')
WRITE(*,*)' *** ***'
WRITE(*,*)' *** If the data should be uniformly spaced, ***'
WRITE(*,*)' *** you should interpolate the data, check ***'
WRITE(*,*)' *** the format, or correct any observation ***'
WRITE(*,*)' *** time errors before spectral analysis. ***'
WRITE(*,*)' *************************************************'
ENDIF
WRITE(*,*)
WRITE(*,*)' The first & last lines of data have been read as:'
WRITE(*,*)
70 FORMAT(' Position(1) = ',F13.6,' Variable(1) = ',F11.5)
71 FORMAT(' Position(N) = ',F13.6,' Variable(N) = ',F11.5)
WRITE(*,70)STRAT(1),X(1)