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ridge_ana.F90
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ridge_ana.F90
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!!!!!++11/1/21
!#define SUBSETDBG
#undef SUBSETDBG
#define ROTATEBRUSH
module ridge_ana
use rotation
USE reconstruct
use shr_kind_mod, only: r8 => shr_kind_r8
IMPLICIT NONE
private
public find_local_maxes
public find_ridges
public remapridge2target
public remapridge2tiles
public paintridgeoncube
public anglx_target,aniso_target,mxdis_target,hwdth_target
public mxvrx_target,mxvry_target,bsvar_target,wghts_target,riseq_target
public ang22_target,anixy_target,clngt_target,cwght_target,count_target
public nsubr,grid_length_scale,fallq_target,isoht_target,isowd_target
public isohtq_target,isowdq_target
public peak_type
!===============================================================================
!These quantities will be on ridge-based "list"
REAL, allocatable :: MXVRX(:),MXDIS(:),MNSLP(:),ANGLX(:),ANISO(:),XS(:),YS(:)
REAL, allocatable :: XSPK(:),YSPK(:),MXDS0(:),MXDS1(:),SFT0(:),SFT1(:)
REAL, allocatable :: PKHTS(:),VLDPS(:),RWPKS(:),RWVLS(:),ANGLL(:)
REAL, allocatable :: BSVAR(:),HWDTH(:),NPKS(:),NVLS(:),MXVRY(:)
REAL, allocatable :: RISEQ(:),FALLQ(:),ANIXY(:),MXDSP(:),CLNGTH(:),MXDS2(:)
!++11//21
REAL, allocatable :: rdg_profiles(:,:) , crst_profiles(:,:), crst_silhous(:,:)
INTEGER, allocatable :: MyPanel(:)
REAL, allocatable :: rt_diag(:,:,:), rtx_diag(:,:,:),rdg_profiles_x(:,:)
!++11/15/21
REAL, allocatable :: UNIQID(:),ISOHT(:),ISOWD(:),ISOBS(:)
!================================================================================
REAL(KIND=dbl_kind), allocatable :: ALP0(:),BET0(:),LAT0(:),LON0(:)
REAL(KIND=dbl_kind), allocatable :: ALP1(:),BET1(:),LAT1(:),LON1(:)
real(r8), allocatable, dimension(:,:) :: anglx_target,aniso_target,mxdis_target,hwdth_target
real(r8), allocatable, dimension(:,:) :: mxvrx_target,mxvry_target,bsvar_target,wghts_target
real(r8), allocatable, dimension(:,:) :: ang22_target,anixy_target,clngt_target,cwght_target
real(r8), allocatable, dimension(:,:) :: count_target,riseq_target,fallq_target
real(r8), allocatable, dimension(:,:) :: isoht_target,isowd_target
real(r8), allocatable, dimension(:) :: isohtq_target,isowdq_target
!!,rwpks_target
INTEGER (KIND=int_kind),allocatable :: UQRID(:)
real(r8), allocatable, dimension(:,:) :: anglx_tiles,aniso_tiles,mxdis_tiles,hwdth_tiles
real(r8), allocatable, dimension(:,:) :: mxvrx_tiles,mxvry_tiles,bsvar_tiles,wghts_tiles
real(r8), allocatable, dimension(:,:) :: ang22_tiles,agnpk_tiles,bgnpk_tiles
integer, allocatable, dimension(:,:) :: uqrid_tiles
integer, allocatable, dimension(:) :: numbr_tiles,error_tiles
REAL, allocatable :: wt1p(:,:)
REAL, allocatable :: agnom(:),bgnom(:)
REAL(r8) :: grid_length_scale
REAL (KIND=dbl_kind), PARAMETER :: pi = 3.14159265358979323846264338327
REAL (KIND=dbl_kind), PARAMETER :: earth_radius = 6371.0
integer, parameter :: NANG=16
integer, parameter :: NSUBR = NANG
integer, parameter :: NTILES = 250
!-----------------------------------
! Tunable parameters for Aniso Ana
real, parameter :: CC_L1=0.5 ! y-slop/max(x_slop) for length (0.2 for cesm2.0)
real, parameter :: CC_L2=0.5 ! y/max(y) for length
real, parameter :: CC_W1=0.5 ! y/max(y) for length
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
TYPE peak_type
REAL :: maxht = -999.
INTEGER :: i = -99
INTEGER :: j = -99
INTEGER :: ip = -99
INTEGER :: idpk = -99
end type peak_type
type (peak_type), allocatable, dimension(:) :: peaks
contains
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
subroutine find_local_maxes ( terr_dev, ncube, nhalo, nsb, nsw ) !, npeaks, peaks )
!------------------------------------------------
! INPUTS.
! NSW = size of window used for ridge analysis
!
!type (peak_type), allocatable, dimension(:), intent(out) :: peaks
REAL (KIND=dbl_kind), &
DIMENSION(ncube,ncube,6), INTENT(IN) :: terr_dev
INTEGER (KIND=int_kind), INTENT(IN) :: ncube, nhalo, nsb, nsw
!INTEGER (KIND=int_kind), INTENT(out) :: npeaks
INTEGER (KIND=int_kind) :: i,j,np,ncube_halo,ipanel,N,norx,nory,ip,nsb2,nhigher,npeaks
INTEGER (KIND=int_kind) :: ipk,nblock
REAL (KIND=dbl_kind), &
DIMENSION(ncube,ncube,6) :: terr_max , terr_sm
REAL (KIND=dbl_kind), &
DIMENSION(1-nhalo:ncube+nhalo, 1-nhalo:ncube+nhalo, 6) :: terr_max_halo
REAL (KIND=dbl_kind), &
DIMENSION(1-nhalo:ncube+nhalo, 1-nhalo:ncube+nhalo, 6) :: terr_dev_halo, terr_sm_halo
REAL , &
DIMENSION(1-nhalo:ncube+nhalo ) :: xv,yv,alph,beta
!REAL(KIND=dbl_kind) :: lon_r8, lat_r8, cosll, dx, dy, dcube2, ampfsm,dbet,dalp,diss,diss00
REAL(KIND=dbl_kind) :: thsh
CHARACTER(len=1024) :: ofile$,ve$
!---------------------------------------------------------------------------------------
! B E G I N C A L C U L A T I O N S
!---------------------------------------------------------------------------------------
!nsb2=nsb/2
!nsb2=nsb/4
nsb2=1
DO np = 1, 6
CALL CubedSphereFillHalo_Linear_extended(terr_dev, terr_dev_halo(:,:,np), np, ncube+1,nhalo)
END DO
DO np = 1, 6
DO j=1-nhalo,ncube+nhalo
DO i=1-nhalo,ncube+nhalo
terr_max_halo(i,j,np) = 0._r8
END DO
END DO
END DO
terr_sm = terr_dev*0._r8
DO np = 1, 6
DO j=1-nhalo+1,ncube+nhalo-1
DO i=1-nhalo+1,ncube+nhalo-1
if ( ( terr_dev_halo(i,j,np) > terr_dev_halo(i+1,j,np) +thsh ) .and. &
( terr_dev_halo(i,j,np) > terr_dev_halo(i-1,j,np) +thsh ) .and. &
( terr_dev_halo(i,j,np) > terr_dev_halo(i,j+1,np) +thsh ) .and. &
( terr_dev_halo(i,j,np) > terr_dev_halo(i,j-1,np) +thsh ) .and. &
( terr_dev_halo(i,j,np) > terr_dev_halo(i+1,j-1,np) +thsh ) .and. &
( terr_dev_halo(i,j,np) > terr_dev_halo(i-1,j-1,np) +thsh ) .and. &
( terr_dev_halo(i,j,np) > terr_dev_halo(i+1,j+1,np) +thsh ) .and. &
( terr_dev_halo(i,j,np) > terr_dev_halo(i-1,j+1,np) +thsh ) .and. &
( terr_dev_halo(i,j,np) > thsh ) ) then
terr_max_halo(i,j,np) = terr_dev_halo(i,j,np)
END IF
END DO
END DO
write(*,*) " FACE = ",np
END DO
do np=1,6
terr_max(1:ncube,1:ncube,np) = terr_max_halo(1:ncube,1:ncube,np )
end do
npeaks = count( (terr_max > thsh) )
allocate( peaks( npeaks ) )
ipk=1
DO np = 1, 6
DO j=1,ncube
DO i=1,ncube
if (terr_max(i,j,np) > thsh ) then
peaks( ipk )%i = i
peaks( ipk )%j = j
peaks( ipk )%ip = np
peaks( ipk )%idpk = ipk
peaks( ipk )%maxht = terr_max(i,j,np)
ipk=ipk+1
endif
end do
end do
write(*,*) ' PANEL = ',NP
end do
write(*,*) " two sizes of peaks ", npeaks, ipk-1
write(*,*) " SHAPE ", shape( peaks%i )
end subroutine find_local_maxes
!===================================================================================================
subroutine find_ridges ( terr_dev, terr_raw, ncube, nhalo, nsb, nsw, &
! ++ following used only for file name construction -11/8/21
ncube_sph_smooth_coarse, ncube_sph_smooth_fine )
!---------------------------------------------------------------------
! Key INPUTS.
! NSW: = HALF-size of square window used for ridge analysis. Subsquares of
! topo are created and fed to ridge analysis scheme ANISO_ANA, e.g,
! suba = terr_dev_halo_r4( i-nsw:i+nsw , j-nsw:j+nsw, np )
! NSW winds up in file names, e.g., here where nsw=42
! fv_0.9x1.25_nc3000_Nsw042_Nrs008_Co060_Fi001_20211102.nc
! The current thought (11/2021) is that NSW should be about
! SQRT(2)*coarse_smoothing_radius, i.e., inscribed square (Note units
! are ~3km pixel-lengths). This is refected in example filename 'Co60'.
!----------------------------------------------------------------------
!type (peak_type), dimension(npeaks), intent(inout) :: peaks
REAL (KIND=dbl_kind), &
DIMENSION(ncube,ncube,6), INTENT(IN) :: terr_dev
REAL (KIND=dbl_kind), &
DIMENSION(ncube,ncube,6), INTENT(IN) :: terr_raw
INTEGER (KIND=int_kind), INTENT(IN) :: ncube, nhalo, nsb, nsw !, npeaks
!++ following used only for file name construction -11/8/21
INTEGER (KIND=int_kind), INTENT(IN) ::ncube_sph_smooth_coarse,ncube_sph_smooth_fine
INTEGER (KIND=int_kind) :: i,j,np,ncube_halo,ipanel,N,norx,nory,ip,ipk,npeaks
REAL (KIND=dbl_kind), &
DIMENSION(1-nhalo:ncube+nhalo, 1-nhalo:ncube+nhalo, 6) :: terr_halo
REAL (KIND=dbl_kind), &
DIMENSION(1-nhalo:ncube+nhalo, 1-nhalo:ncube+nhalo, 6) :: terr_dev_halo
REAL , &
DIMENSION(1-nhalo:ncube+nhalo, 1-nhalo:ncube+nhalo, 6) :: terr_halo_r4
REAL , &
DIMENSION(1-nhalo:ncube+nhalo, 1-nhalo:ncube+nhalo, 6) :: terr_dev_halo_r4
REAL , &
DIMENSION(1-nhalo:ncube+nhalo ) :: xv,yv,alph,beta
!allocate( suba( 2*nsw+1, 2*nsw+1 ) )
! allocate( subarw( 2*nsw+1, 2*nsw+1 ) )
real :: SUBA(2*nsw+1, 2*nsw+1 ), SUBARW(2*nsw+1, 2*nsw+1 ), SUBX(2*nsw+1), SUBY(2*nsw+1)
REAL(KIND=dbl_kind) :: lon_r8, lat_r8, cosll, dx, dy, dcube2, ampfsm,dbet,dalp,diss,diss00
CHARACTER(len=1024) :: ofile$,ve$
character(len=8) :: date$
character(len=10) :: time$
npeaks = size( peaks% i )
write(*,*) " size of peaks in find_ridge ", npeaks
write(*,*) " SHAPE ", shape( peaks%i )
!---------------------------------------------------------------------------------------
! B E G I N C A L C U L A T I O N S
!---------------------------------------------------------------------------------------
DO np = 1, 6
CALL CubedSphereFillHalo_Linear_extended(terr_raw, terr_halo(:,:,np), np, ncube+1,nhalo)
CALL CubedSphereFillHalo_Linear_extended(terr_dev, terr_dev_halo(:,:,np), np, ncube+1,nhalo)
END DO
DO i=1-nhalo,ncube+nhalo
xv(i)=1.*i ! xv,yv are 'SW' corners
yv(i)=1.*i
!xv(i)=1.*i - 0.5 ! xv,yv are cell centers
!yv(i)=1.*i - 0.5
END DO
DO i=1-nhalo,ncube+nhalo
alph(i) = ( xv(i) - 0.5 - ncube/2 )*(pi/2.)/ncube
beta(i) = ( yv(i) - 0.5 - ncube/2 )*(pi/2.)/ncube
!alph(i) = ( xv(i) - ncube/2 )*(pi/2.)/ncube
!beta(i) = ( yv(i) - ncube/2 )*(pi/2.)/ncube
END DO
grid_length_scale = ( alph(1)-alph(0) )*earth_radius
write(*,*) "ALPHA(1:NCUBE) ",alph(1)*180./pi,alph(ncube)*180./pi
write(*,*) " GRID scale ",grid_length_scale
allocate( agnom(ncube) )
allocate( bgnom(ncube) )
agnom(1:ncube) = alph(1:ncube)
bgnom(1:ncube) = beta(1:ncube)
terr_dev_halo_r4 = terr_dev_halo
terr_halo_r4 = terr_halo
ncube_halo = size( terr_halo_r4, 1)
!++11/1/21
! call alloc_ridge_qs(npeaks)
call alloc_ridge_qs(npeaks , NSW)
do ipk = 1,npeaks
i = peaks(ipk)%i
j = peaks(ipk)%j
np = peaks(ipk)%ip
!++11/1/21
MyPanel( ipk ) = np ! could just write peaks%ip but WTF
#if 0
if ( ((np==4).and.(i>300).and.(i<2400).and.(j>2000)) .or. &
((np==4).and.(i>1800).and.(i<2300).and.(j>500).and.(j<1500)) .or. &
((np==2).and.(i>900).and.(i<2000).and.(j>2200).and.(j<2800)) ) then
write(*,901,advance='no') i,j,np
#endif
#if 0
if ( ((np==4).and.(i>1300).and.(i<2400).and.(j>2000).and.(j<2400)) ) then
write(*,901,advance='no') i,j,np
#endif
#ifdef SUBSETDBG
!!if ( ((np==4).and.(i>300).and.(i<2400).and.(j>1700)) ) then ! Most of N America south of Canada
!! write(*,901,advance='no') i,j,np
!!if ( ((np==5).and.(i>0).and.(i<1000).and.(j>1600)).and.(j<2600) ) then ! South America Antarctic Pen
!! write(*,901,advance='no') i,j,np
if ( ( (np==5).and.(i>0).and.(i<1000).and.(j>1600).and.(j<2600) ) .or. & !Patagonia+Antarctic Pen+ S Georgia
( (np==4).and.(i>1900).and.(i<2100).and.(j>1000).and.(j<1200) ) .or. & !Peru
( (np==4).and.(i>300).and.(i<2400).and.(j>1700).and.(j<3000) ) .or. & !Most of N America south of Canada
( (np==2).and.(i>800).and.(i<1500).and.(j>2400).and.(j<3000) ) .or. & !Himalaya
( (np==6).and.(i>1100).and.(i<2000).and.(j>100).and.(j<1100) ) & !N Europe
) then
write(*,901,advance='no') i,j,np
#endif
suba = terr_dev_halo_r4( i-nsw:i+nsw , j-nsw:j+nsw, np )
subarw = terr_halo_r4( i-nsw:i+nsw , j-nsw:j+nsw, np )
subx = xv(i-nsw :i+nsw )
suby = yv(j-nsw :j+nsw )
call ANISO_ANA( suba , subarw , subX , subY ,NSB,NSW, ipk )
#ifdef SUBSETDBG
end if
#endif
write(*,900,advance='no') achar(13) , ipk, npeaks
end do
write(*,*)
write(*,*) " Done with anisotropy analysis "
900 format( a1, " Analyzed Ridges ",i6," out of ",i6 )
901 format(" Ridge coords ", i6,i6,i3 )
#if 1
!++11/8/21
write( ofile$ , &
"('./output/Ridge_list_nc',i0.4, '_Nsw',i0.3, &
'_Co',i0.3,'_Fi',i0.3 )" ) &
ncube, nsw , ncube_sph_smooth_coarse, ncube_sph_smooth_fine
!--- get time stamp for output filename
!----------------------------------------------------------------------
call DATE_AND_TIME( DATE=date$,TIME=time$)
ofile$ = trim(ofile$)//'_'//date$//'_'//time$(1:4)//'.dat'
OPEN (unit = 31, file= trim(ofile$) ,form="UNFORMATTED" )
write(31) ncube_halo , grid_length_scale
write(31) xv,yv
write(31) terr_halo_r4
write(31) terr_dev_halo_r4
write(31) npeaks , NSW
write(31) xs,ys , MyPanel
write(31) mxvrx
write(31) bsvar
write(31) mxdis
write(31) anglx
write(31) aniso
write(31) mnslp
write(31) angll
write(31) xspk
write(31) yspk
write(31) mxds0
write(31) mxds1
write(31) sft0
write(31) sft1
write(31) hwdth
write(31) npks
write(31) mxvry
write(31) nvls
write(31) pkhts
write(31) vldps
write(31) rwpks
write(31) rwvls
write(31) lon0
write(31) lon1
write(31) lat0
write(31) lat1
write(31) uniqid
write(31) riseq
write(31) fallq
write(31) clngth
write(31) mxds2
!++11/.../21
write(31) rdg_profiles
write(31) crst_profiles
write(31) crst_silhous
!write(31) rt_diag
!write(31) rtx_diag
write(31) isoht
write(31) isowd
write(31) isobs
CLOSE(31)
write( ofile$ , &
"('./output/TerrXY_list_nc',i0.4, '_Nsw',i0.3, &
'_Co',i0.3,'_Fi',i0.3 )" ) &
ncube, nsw , ncube_sph_smooth_coarse, ncube_sph_smooth_fine
!--- get time stamp for output filename
!----------------------------------------------------------------------
call DATE_AND_TIME( DATE=date$,TIME=time$)
ofile$ = trim(ofile$)//'_'//date$//'_'//time$(1:4)//'.dat'
OPEN (unit = 32, file= trim(ofile$) ,form="UNFORMATTED" )
write(32) npeaks , NSW
do ipk=1,npeaks
write(32) rtx_diag(:,:,ipk)
end do
close(32)
#endif
!++11/1/21
#ifdef SUBSETDBG
!write(*,*) " Bomb out of code after writing Ridge_list "
! STOP
write(*,*) " Wrote ridge list going ON ... "
#endif
end subroutine find_ridges
!----------------------------------------------------------
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!subroutine ANISO_ANA( AA,AARAW,X,Y,N,NSB,NSW,IP)
subroutine ANISO_ANA( SUBA,SUBARW,SUBX,SUBY,NSB,NSW,IPK)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
INTEGER, intent(IN) :: NSB,NSW,IPK
!REAL, intent(IN) :: AA(N,N),X(N),Y(N),AARAW(N,N)
REAL, intent(IN) :: SUBA(2*nsw+1,2*nsw+1),SUBX( 2*nsw+1),SUBY(2*nsw+1),SUBARW( 2*nsw+1, 2*nsw+1)
real, allocatable :: RT(:,:),RTX(:),XRT(:),RTXMN(:),RTXSLP(:),rtx_dt(:)
real, allocatable :: PKLC(:), RTY(:),RTRW(:,:),RTRWX(:),DERTX(:),DERTY(:),CUSP(:),face(:)
real, allocatable :: silux(:), sillx(:), siluy(:), silly(:)
!++ 11/1/21
real, allocatable :: rdg_profile(:,:),crst_profile(:,:)
!++ 11/16/21
real, allocatable :: crst_silhouette(:,:)
logical,allocatable :: lhgts(:),lflats(:),lsides(:)
logical :: Keep_Cuestas=.true.
real :: THETRAD,PI,swt,ang,rotmn,rotvar,mnt,var,xmn,xvr,basmn,basvar,mn2,var2
real :: dyr_crest
integer :: i,j,l,m,n2,mini,maxi,minj,maxj,ns0,ns1,iorn(1),jj
integer :: ipkh(1),ivld(1),ift0(1),ift1(1),i2,ii,ipksv(1),nsb_x
integer :: ibad_left,ibad_rght
real :: vvaa(NANG),qual(NANG),dex(NANG),beta(NANG),alph,xpkh(NANG),ang00
real :: dex0(nang),dex1(nang),xft0(NANG),xft1(NANG),HWDX(NANG),xvld(NANG)
real :: NPKX(NANG),NVLX(NANG),vva2(NANG),pkht(NANG),vldp(NANG),rwpk(NANG)
real :: rwvl(NANG),RISEX(NANG),FALLX(NANG),LNGTH(NANG)
real :: dex_dt(NANG)
ns0=nsw/2+1
ns1=ns0+nsw+1
PI = 2*ACOS(0.0)
! Allocate work arrays for ridge analysis
!-----------------------------------------
!allocate( suba( 2*nsw+1, 2*nsw+1 ) )
!allocate( subarw( 2*nsw+1, 2*nsw+1 ) )
allocate( rt( 2*nsw+1, 2*nsw+1 ) )
allocate( rtrw( 2*nsw+1, 2*nsw+1 ) )
!allocate( subx( 2*nsw+1 ) )
!allocate( suby( 2*nsw+1 ) )
allocate( rtx( nsw+1 ) )
allocate( rtx_dt( nsw+1 ) )
allocate( rty( nsw+1 ) )
allocate( cusp( nsw+1 ) )
allocate( dertx( nsw+1-1 ) )
allocate( derty( nsw+1-1 ) )
allocate( rtrwx( nsw+1 ) )
allocate( rtxslp( nsw+1-1 ) )
allocate( pklc( 2:nsw+1-1 ) )
allocate( rtxmn( nsw+1 ) )
allocate( xrt( nsw+1 ) )
allocate( face( nsw+1 ) )
allocate( silux( nsw+1 ) )
allocate( sillx( nsw+1 ) )
allocate( siluy( nsw+1 ) )
allocate( silly( nsw+1 ) )
allocate( Lhgts( nsw+1 ) )
allocate( Lflats( nsw+1 ) )
allocate( Lsides( nsw+1 ) )
!++ 11/1/21
allocate( rdg_profile(nsw+1,NANG) )
allocate( crst_profile(nsw+1,NANG) )
!++ 11/16/21
allocate( crst_silhouette(nsw+1,NANG) )
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
do i=1,nsw+1
xrt(i) = 1.*(i-1)
end do
xmn=0.5*(xrt(1)+xrt(nsw+1))
xvr=sum( (xrt-xmn)**2 )/nsw+1
ys(ipk)= sum( suby )/size(suby,1)
xs(ipk)= sum( subx )/size(subx,1)
!!subarw = AARAW( i*nsb-nsw :i*nsb+nsw , j*nsb-nsw :j*nsb+nsw )
basmn = sum( sum( suba(ns0:ns1-1,ns0:ns1-1) , 1 ), 1) /(( ns1-ns0 )*(ns1-ns0))
basvar = sum( sum( (suba(ns0:ns1-1,ns0:ns1-1)-basmn)**2 , 1 ), 1) /(( ns1-ns0 )*(ns1-ns0))
bsvar(ipk) = basvar
vvaa(:)=0
qual(:)=0.
npkx(:)=0.
do L=1,nang
! Rotate 2D topography by ANG
ang = (L-1)*(180./nang)
rt = rotby3( suba, 2*nsw+1 , ang )
rtrw = rotby3( subarw, 2*nsw+1 , ang ) ! Raw topo rotation
! Take "Y" (and "X")-average of rotated topography.
! Yields topo profile in X ==> RTX
rtx = sum( rt(ns0:ns1-1,ns0:ns1-1) , 2 ) /( ns1-ns0 ) ! Y-average
rty = sum( rt(ns0:ns1-1,ns0:ns1-1) , 1 ) /( ns1-ns0 ) ! X-average
rtrwx = sum( rtrw(ns0:ns1-1,ns0:ns1-1) , 2 ) /( ns1-ns0 ) ! Y-average of Raw topo
#if 1
! "Silhouettes" in x and y
do m=ns0,ns1-1
silux(m-ns0+1) = maxval( rt( m ,ns0:ns1-1) )
sillx(m-ns0+1) = minval( rt( m ,ns0:ns1-1) )
siluy(m-ns0+1) = maxval( rt( ns0:ns1-1, m) )
silly(m-ns0+1) = minval( rt( ns0:ns1-1, m) )
end do
#endif
! Mean elevation
mnt = sum( rtx )/( ns1-ns0 )
mn2 = sum( rty )/( ns1-ns0 )
! Mean slope BETA (and intercept ALPH) of RTX
beta(L) = sum( (rtx-mnt)*(xrt-xmn) )/(nsw*xvr)
alph = mnt - beta(L)*xmn
! subtract linear slope
do ii=1,nsw+1
rtx_dt(ii) = rtx(ii) - ( alph+beta(L)*xrt(ii) )
end do
rtxslp(1:nsw)=abs(rtx(2:nsw+1)-rtx(1:nsw) )
! count actual peaks and valleys in RTX cross section
pklc = 0.
do i2=2,nsw
if ( ( rtx(i2-1)<rtx(i2) ).and.( rtx(i2+1)<rtx(i2) ) ) pklc(i2)=1.
end do
npkx(L)=sum(pklc)
pklc = 0.
do i2=2,nsw
if ( ( rtx(i2-1)>rtx(i2) ).and.( rtx(i2+1)>rtx(i2) ) ) pklc(i2)=1.
end do
nvlx(L)=sum(pklc)
! Accumulate rising and falling segments
risex(L)=0.
fallx(L)=0.
do i2=2,nsw+1
if ( rtx(i2-1)<=rtx(i2) ) risex(L) = risex(L) + ( rtx(i2) - rtx(i2-1) )
if ( rtx(i2-1)>=rtx(i2) ) fallx(L) = fallx(L) + ( rtx(i2) - rtx(i2-1) )
end do
do i2=2,nsw+1
dertx(i2-1) = rtx(i2) - rtx(i2-1)
derty(i2-1) = rty(i2) - rty(i2-1)
end do
! Record actual max and min elevations in RTX and Raw topo profile (RTRWX)
pkht(L)=maxval(RTX)
vldp(L)=minval(RTX)
rwpk(L)=maxval(RTRWX)
rwvl(L)=minval(RTRWX)
var = sum( (rtx-mnt)**2 )/( ns1-ns0 )
vvaa(L) = var
dex(L) = MAXVAL(RTX)-MINVAL(RTX)
dex_dt(L) = MAXVAL(RTX_dt)-MINVAL(RTX_dt)
var2 = sum( (rty-mn2)**2 )/( ns1-ns0 )
vva2(L) = var2
Lhgts = ( ( rtx - minval(rtx) ) > 0.5*maxval( rtx - minval(rtx) ) )
!hwdx(L) = 1.0*count( Lhgts )
! flats = where slope is less than 33% of max
Lflats = ( abs(dertx) < 0.33*maxval( abs(dertx ) ) )
hwdx(L) = 1.0*(nsw+1 - count( Lflats ) )
! Calculate Ridge Length
#if 1
! 1) Subtract steep sections of ridge Line
! sides = where sides are steeper than XX% of max
! (method used for CESM2 with CC_L1=0.2=20%)
! Higher CC_L1 seems to work better for narrower
! band-passes
Lsides = ( abs(derty) > CC_L1*maxval( abs(dertx ) ) )
lngth(L) = 1.0*(nsw+1 - count( Lsides ) )
#endif
#if 0
! 2) Subtract steep sections of ridge Line
! Length = where ridge line>0.8*MAX(ridge line)
Lsides = ( (rty-minval(rty)) > CC_L2*(maxval(rty)-minval(rty)) )
lngth(L) = 1.0*( count( Lsides ) )
#endif
#if 0
if (dex(L) > 1.0) then
!hwdx(L) = sum( rtxslp**2 , 1) / (dex(L)**2)
hwdx(L) = ( dex(L)**2 ) / sum( rtxslp**2 , 1)
else
hwdx(L) = -1.
endif
#endif
!===============================================================
! Calculate relative horz displacements of actual peaks and
! valleys along ridge-perp X (11/2/21)
!===============================================================
ipkh = MAXLOC( RTX ) ! index of MAX peak height in rotated topo avg cross-section
xpkh(L) = XRT( ipkh(1) )-xmn
ivld = MINLOC( RTX ) ! index of MIN valley depth in rotated topo avg cross-section
xvld(L) = XRT( ivld(1) )-xmn
!================ Dec 2021 =========================================
! Ideally ipkh=nsw/2, i.e, center of ridge profile. If ipkh=1 or nsw
! this feature could just be sloping terrain. In practice it appears
! redundancy saves our a-- in paintridge2cube. Here we provide some
! more protcetion against id'ing sloping terrain as a ridge:
!
! 1 -- | --- nsw/2 --- | -- nsw
! ////// //////
! ibad_left ibad_rght
!
! If ipkh is /// region then we flag it as "bad". Maybe this code
! should be removed altogether ...
!====================================================================
nsb_x = nsb
if (nsw>=8) then
ibad_left = 1 ! 2 !nsw/2 - nsb_x
ibad_rght = nsw ! nsw-1 ! nsw/2 + nsb_x
else
ibad_left = 1
ibad_rght = nsw
endif
if( ( ipkh(1) <= ibad_left ).or.( ipkh(1) >= ibad_rght ) ) then
npkx(L)=0.0
end if
ipksv = ipkh
ift0 = MINLOC( RTX( 1 : ipkh(1) ) )
ift1 = MINLOC( RTX( ipkh(1) : ) )+ipkh(1)-1
dex0(L) = MAXVAL(RTX)-MINVAL( RTX( 1 : ipkh(1) ) )
dex1(L) = MAXVAL(RTX)-MINVAL( RTX( ipkh(1) : ) )
xft0(L) = XRT( ift0(1) ) -XRT( ipkh(1) )
xft1(L) = XRT( ift1(1) ) -XRT( ipkh(1) )
!! basmn = sum( sum( suba(ns0:ns1-1,ns0:ns1-1) , 1 ), 1) /(( ns1-ns0 )*(ns1-ns0))
!! basvar = sum( sum( (suba(ns0:ns1-1,ns0:ns1-1)-basmn)**2 , 1 ), 1) /(( ns1-ns0 )*(ns1-ns0))
rotmn = sum( sum( rt(ns0:ns1-1,ns0:ns1-1) , 1 ), 1) /(( ns1-ns0 )*(ns1-ns0))
rotvar = sum( sum( (rt(ns0:ns1-1,ns0:ns1-1)-rotmn)**2 , 1 ), 1) /(( ns1-ns0 )*(ns1-ns0))
if (rotvar>0.) qual(L) = var/rotvar
if (rotvar>0.) vvaa(L) = vvaa(L)*(basvar/rotvar)
if (rotvar>0.) vva2(L) = vva2(L)*(basvar/rotvar)
!++++ Analysis using triangular profiles in X and Y
do i2=1,ipkh(1)
cusp(i2) = rtx(ipkh(1)) + (rtx(1)-rtx(ipkh(1)))*(i2-ipkh(1))/(1-ipkh(1))
end do
do i2=ipkh(1),nsw+1
cusp(i2) = rtx(ipkh(1)) + (rtx(nsw)-rtx(ipkh(1)))*(i2-ipkh(1))/(nsw-ipkh(1))
end do
ipkh = MAXLOC( RTY ) ! index of ridge "FACE"
do i2=1,ipkh(1)
face(i2) = rty(ipkh(1)) + (rty(1)-rty(ipkh(1)))*(i2-ipkh(1))/(1-ipkh(1))
end do
do i2=ipkh(1),nsw
face(i2) = rty(ipkh(1)) + (rty(nsw)-rty(ipkh(1)))*(i2-ipkh(1))/(nsw-ipkh(1))
end do
!++11/1/21
rdg_profile( : , L ) = rtx( : )
crst_profile( : , L ) = rty( : )
!++11/16/21
crst_silhouette( : , L ) = siluy( : )
end do ! LOOP over angles - index=L
iorn = MAXLOC( vvaa )
mxvrx(ipk) = vvaa( iorn(1) ) !MAXVAL( vvaa )
mxvry(ipk) = vva2( iorn(1) ) !MAXVAL( vvaa )
mxdis(ipk) = dex( iorn(1) )
mxds2(ipk) = dex_dt( iorn(1) )
hwdth(ipk) = hwdx( iorn(1) )
npks(ipk) = npkx( iorn(1) )
nvls(ipk) = nvlx( iorn(1) )
aniso(ipk) = qual( iorn(1) )
anglx(ipk) = (iorn(1)-1)*(180./nang)
mnslp(ipk) = beta( iorn(1) )
pkhts(ipk) = pkht( iorn(1) )
vldps(ipk) = vldp( iorn(1) )
rwpks(ipk) = rwpk( iorn(1) )
rwvls(ipk) = rwvl( iorn(1) )
ang00 = (iorn(1)-1)*(180./nang)*(PI/180.)
mxds0(ipk) = dex0( iorn(1) )
mxds1(ipk) = dex1( iorn(1) )
sft0(ipk) = xft0( iorn(1) )
sft1(ipk) = xft1( iorn(1) )
riseq(ipk) = risex( iorn(1) )
fallq(ipk) = fallx( iorn(1) )
!clngth(ipk)= lngth( iorn(1) )
!++ 11//21
rdg_profiles(:,ipk) = rdg_profile( : , iorn(1) )
crst_profiles(:,ipk) = crst_profile( : , iorn(1) )
crst_silhous(:,ipk) = crst_silhouette( : , iorn(1) )
!--
!++11/15/21
uniqid(ipk) = (1.0d+0) * ipk
!--
!++11/15-17/21
!===============================================================
! Could be more direct and intuitive to relocate xspk and yspk,
! and to estimate ridge width and crest length here, from saved
! ridge profiles in X and Y. In fact lots of simplification
! could follow.
!
! Note, we have access to the full 2D topo block in this subr
! Deviations: SUBA(2*nsw+1,2*nsw+1)
! Raw: SUBARW( 2*nsw+1, 2*nsw+1)
!===============================================================
call ridgescales( nsw, rdg_profiles(:,ipk), crst_silhous(:,ipk), xrt, xmn, &
anglx(ipk), xs(ipk) , ys(ipk), &
xspk(ipk), yspk(ipk), clngth(ipk) , hwdth(ipk), &
suba , rt_diag(:,:,ipk),rtx_diag(:,:,ipk), &
isoht(ipk), isowd(ipk), isobs(ipk), &
rdg_profiles_x(:,ipk) )
deallocate( rt)
deallocate( rtrw)
deallocate( rtx)
deallocate( rty)
deallocate( cusp)
deallocate( dertx)
deallocate( derty)
deallocate( rtrwx)
deallocate( lhgts)
deallocate( rtxslp)
deallocate( pklc)
deallocate( rtxmn)
deallocate( xrt)
deallocate( face)
deallocate( lflats)
deallocate( lsides)
deallocate( silux)
deallocate( siluy)
deallocate( sillx)
deallocate( silly)
!++11/1/21
deallocate( rdg_profile )
deallocate( crst_profile )
end subroutine ANISO_ANA
!====================================
!====================================
subroutine ridgescales( nsw, ridge, crest, xr, xmn, anglx0 , &
xs0 , ys0, xspk0 , yspk0, clngt0, hwdth0 , &
suba , rt_diag0,rtx_diag0, &
isoht0, isowd0 , isobs0, ridge_x )
integer , intent(in ) :: nsw
real, intent(in ) :: ridge(nsw+1), crest(nsw+1), xr(nsw+1)
real, intent(in ) :: xs0,ys0,anglx0,xmn
real, intent(inout) :: xspk0,yspk0,clngt0,hwdth0
real, intent(in ) :: suba( 2*nsw+1 , 2*nsw+1 )
real, intent(inout) :: rt_diag0( 2*nsw+1 , 2*nsw+1 )
real, intent(inout) :: rtx_diag0( nsw+1 , nsw+1 )
real, intent(inout) :: ridge_x( 2*nsw+1 )
real, intent(inout) :: isowd0 , isoht0, isobs0
! local vars
real :: ang00,xshft,yshft,pcrest(nsw+1),pridge(nsw+1),cran,hran
real :: hwd1,hwd2,isox
real :: rt( 2*nsw+1, 2*nsw+1),rt2d(nsw+1 , nsw+1),iso2d(nsw+1 , nsw+1)
integer :: ipkh(1),ns0,ns1,j
logical :: Lcount(nsw+1)
ns0=nsw/2+1
ns1=ns0+nsw+1
! XR is just [1,..,nsw+1]. Fine coord for both NORMAL(X) and ALONG(Y) ridge direction
ipkh = MAXLOC( ridge ) ! index of MAX peak height in rotated topo avg cross-section
xshft = XR( ipkh(1) ) - xmn
ang00 = anglx0 * (PI/180.)
! Shift peak/crest location NORMAL to ridge - "X"
xspk0 = xs0 + xshft * cos( ang00 )
yspk0 = ys0 - xshft * sin( ang00 )
cran = MAXVAL(crest) - MINVAL(crest)
hran = MAXVAL(ridge) - MINVAL(ridge)
pcrest(:) = crest(:) - MINVAL(crest)
where (pcrest < 0.1*cran)
pcrest = 0.
end where
! Now shift peak/crest location ALONG crest - "Y"
! 1) Calculate centroid in Y, diff w/ resp center
yshft = sum( xr * pcrest )/( sum( pcrest )+ 0.1 ) - xmn
! 2) Shift in cubed sphere coords. Two +'s not a sign
! error. Combination of conventions for ridges lead
! to this: 0 <= ang00 <= +180. w/ ang00=0 eq N-S ridge
xspk0 = xspk0 + yshft *sin( ang00 )
yspk0 = yspk0 + yshft *cos( ang00 )
! first guess is CLNGT=nsw+1
clngt0 = 1.*(nsw+1)
if (cran >= hran) then
! If cran is as big as hran
! second guess is nsw minus low parts
Lcount = ( pcrest < 0.1*cran )
clngt0 = 1.0*(nsw+1 - count( Lcount ) )
endif
! adjust hwdth
pridge(:) = ridge(:) - MINVAL(ridge)
! 2 sided equlivalent "wedge" ceneterd at ipkh
hwd1 = 2.* sum( pridge( 1:ipkh(1) ) ) / ( pridge(ipkh(1))+0.1)
hwd2 = 2.* sum( pridge( ipkh(1): ) ) / ( pridge(ipkh(1))+0.1)
! stop goofy results if a plateau exists on one side
hwd1 = min( hwd1 , 4.*nsw )
hwd2 = min( hwd2 , 4.*nsw )
hwdth0 = (hwd1 + hwd2)
rt = rotby3( suba, 2*nsw+1 , anglx0 )
! "Y" (and "X")-average of rotated topography.
! Yields topo profile in X ==> RTX
!!!ridge = sum( rt(ns0:ns1-1,ns0:ns1-1) , 2 ) /( ns1-ns0 ) ! Y-average
!!!crest = sum( rt(ns0:ns1-1,ns0:ns1-1) , 1 ) /( ns1-ns0 ) ! X-average
rt_diag0(:,:) =rt(:,:)
rtx_diag0(:,:)=rt(ns0:ns1-1,ns0:ns1-1) !rt(:,:)
ridge_x = sum( rt( : , ns0:ns1-1) , 2 ) /(ns1-ns0)
!---------------------------------------------------------
! Now assign some non-ridge variance to an isotropic obstacle
!-----
! First make 2D ridge-prism
!---------------------------------------------------------
do j=1,nsw+1
rt2d(:,j) = ridge(:)
end do
!------------------------------------------------
! Difference of rotated 2D topo from ridge-prism
! = 'isotropic residual'
!------------------------------------------------
iso2d = rtx_diag0 - rt2d
!-----------------------------------
! Average of +ve isotropic residual
!-----------------------------------
isox = sum( iso2d , mask = (iso2d > 0.) ) /( count( (iso2d > 0.) ) + .1 )
!----------------------------------
! maximum value of isotropic residual
!-----------------------------------
isoht0 = maxval( iso2d )
!----------------------
! Length scale
!---------------------
! i) straight SQRT of area
!isowd0 = sqrt(1.0* count( (iso2d > isox ) ) )
! ii) Assume "isotropy" is smeared out along
! lenght of ridge.
isowd0 = (1.0* count( (iso2d > isox ) ) ) / max( clngt0 , 1. )
!----------------------
! Estimate "base" for