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! |
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! translated to f95 Nov. 2009 |
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!=============================================================== |
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! NOTE THE INTERPOLATION ROUTINE STARTS AT BIN 0 NOT 1 |
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! |
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! Cart_to_Polar |
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! |
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! Bradley W. Hindman |
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! version 2: June 19, 1998 |
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! rewritten as subroutine |
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! Deborah Haber (DH) Oct 22, 2007 |
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! added azimuthal average Jan. 2009 - DH |
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! works now with ringanalysis_sngl.f |
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! 16 Sept 2009 - DH |
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! passes arrays to be written to files |
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! back to ringanalysis_sngl.f to be |
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! passed to c wrapper for actual output |
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! |
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! This routine converts the power spectra contained in |
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! powxy from Cartesian (kx,ky,nu) coordinates to polar |
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! (theta,k,nu) coordinates. The resulting power spectra has |
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! pixels evenly spaced in k and in theta. Cubic convolution |
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! interpolation is used to convert from the initially evenly |
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! spaced rectangular data. |
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! This routine outputs the data in array "powthtk", |
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! which holds the data in polar format, |
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! |
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! (azimuth, wavenumber, frequency). |
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! |
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! Inputs_____________________________________________________ |
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! |
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! powxy Input array = the (nkx,nky,nnu) original spectrum. Real*4 |
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! powthtk Output array = the unwrapped (ntht,nk,nnu) spectrum. Real*4 |
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! x0 Center of powxy in x direction in pixels. Real*4 = crpix1. |
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! y0 Center of powxy in y direction in pixels. Real*4 = crpix2. |
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! |
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! Data Array_________________________________________________ |
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! |
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! powbuf(nkx,nky) Cartesian frequency slice |
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! |
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! Book Keeping Variables_____________________________________ |
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! |
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! nkx,nky The number of data elements in the |
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! ntht,nk appropriate dimension of the Carte- |
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! sian or polar coordinate systems. |
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! nnu Number of data elements in the frequen- |
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! cy dimension in both Cartesian and |
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! polar coordinates. |
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! ikx,iky,inu Index variables for the appropriate |
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! itht,ik data dimensions. |
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! kx,ky Location polar grid points in Cartesian |
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! coordinates. |
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! |
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! lnbase Keyword specifying whether powxy is the |
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! power or log(power), passed from main routine |
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! = 0.0 data is in units of power |
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! = 2.718 data is in units of log(power) |
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! |
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! ROUTINES___________________________________________________ |
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! |
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! CCINT2(powbuf,nkx,nky,kx,ky) Function |
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! |
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!=============================================================== |
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module cart |
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contains |
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SUBROUTINE cart_to_polar(powxy,powthtk,nkx,nky,nnu,ntht,nk, & |
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& x0,y0,lnbase,verbose,ierr) |
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implicit none |
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integer, parameter :: single = 4 |
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integer :: nk,nkx,nky,nnu,ntht,ier,ierr |
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integer :: ik,inu,itht,ikx,iky,ik3,inu3 |
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integer :: verbose |
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real(kind=single) :: kx,ky,x0,y0,dtht,theta,lnbase,pi |
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real(kind=single), dimension(nkx,nky) :: powbuf |
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real(kind=single), dimension(nkx,nky,nnu) :: powxy |
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real(kind=single), dimension(ntht,nk,nnu) :: powthtk |
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real(kind=single), dimension(ntht) :: cosine, sine |
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real(kind=single) :: CCINT2 |
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|
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!--------------------------------------------------------------- |
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! Initialize cosine and sine arrays for later use. |
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!--------------------------------------------------------------- |
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pi=ACOS(-1.0) |
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dtht=2.0*pi/real(ntht) |
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DO itht=1,ntht |
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theta=(itht-1)*dtht |
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cosine(itht)=COS(theta) |
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sine(itht)=SIN(theta) |
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END DO |
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! if (verbose == 1) then |
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! write(*,'("cosine")') |
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! write(*,'(8(f8.4,2x))')(cosine(itht),itht=1,ntht) |
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! write(*,'("sine")') |
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! write(*,'(8(f8.4,2x))')(cosine(itht),itht=1,ntht) |
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! endif |
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|
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|
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!---------------------------------------------------------- |
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! Initialize error catching variable |
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!---------------------------------------------------------- |
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|
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ierr=0 |
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|
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!--------------------------------------------------------- |
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! If debugging write out some intermediary variables |
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!--------------------------------------------------------- |
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|
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IF (verbose == 1) THEN |
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WRITE(*,'(" nkx, nky, nnu")') |
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WRITE(*,*) nkx, nky, nnu |
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WRITE(*,'(" ntht, dtht, x0, y0")') |
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WRITE(*,*) ntht, dtht, x0, y0 |
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WRITE(*,'(" lnbase = ",f8.4)') lnbase |
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ENDIF |
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|
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!--------------------------------------------------------------- |
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! Step through each azimuth and wave number and interpolate |
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! for each frequency value inu out of total nnu values |
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! If lnbase is not 0.0 THEN the power is already in log space |
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! else take log of power before proceeding |
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!--------------------------------------------------------------- |
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|
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IF (lnbase /= 0.0) THEN |
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DO inu=1,nnu |
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DO iky = 1,nky |
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DO ikx = 1,nkx |
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powbuf(ikx,iky)=powxy(ikx,iky,inu) |
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! write(*,'("ikx,iky,inu",3i8)')ikx,iky,inu |
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! write(*,'("powbuf, powxy ",2(1pe14.4,2x))')powbuf(ikx,iky), & |
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! & powxy(ikx,iky,inu) |
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END DO |
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END DO |
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DO ik = 1,nk |
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DO itht = 1,ntht |
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kx=real(ik)*cosine(itht)+x0 |
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ky=real(ik)*sine(itht)+y0 |
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powthtk(itht,ik,inu)=EXP(ccint2(powbuf,nkx,nky,kx,ky)) |
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END DO |
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END DO |
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! write(*,'("powthtk = ",4pe13.4)') ((powthtk(itht,ik,inu),itht=1,2),ik=10,11) |
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END DO |
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ELSE |
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DO inu=1,nnu |
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DO iky = 1,nky |
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DO ikx = 1,nkx |
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if (powxy(ikx,iky,inu) > 0.0) then |
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powbuf(ikx,iky)=alog(powxy(ikx,iky,inu)) |
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else |
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write(*,*)" Negative power in Cart_to_Polar" |
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ierr=11 |
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goto 9999 |
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endif |
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END DO |
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END DO |
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DO ik = 1,nk |
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DO itht = 1,ntht |
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kx=real(ik)*cosine(itht)+x0 |
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ky=real(ik)*sine(itht)+y0 |
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powthtk(itht,ik,inu)=EXP(ccint2(powbuf,nkx,nky,kx,ky)) |
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END DO |
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END DO |
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END DO |
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END IF |
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IF (verbose == 1)THEN |
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WRITE(*,*)" cart powthtk " |
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ik3=nk/3 |
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inu3=nnu/3 |
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WRITE(*,20)((powthtk(1,ik,inu),ik=ik3,ik3+2),inu=inu3,inu3+1) |
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20 format(3(2(1pe13.5,2x))) |
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WRITE(*,*)" Finishing Cart_to_Polar" |
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ENDIF |
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9999 IF (ierr .NE. 0) THEN |
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WRITE(*,'(" Problem in cart_to_polar subroutine ")') |
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WRITE(*,'(" ierr = ",i4)') ierr |
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ENDIF |
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RETURN |
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END subroutine cart_to_polar |
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end module cart |
