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*------------------------------fft_inverse.F---------------------------
* fft_inverse.F
*
*
* This software was developed by the Thermal Modeling and Analysis
* Project(TMAP) of the National Oceanographic and Atmospheric
* Administration's (NOAA) Pacific Marine Environmental Lab(PMEL),
* hereafter referred to as NOAA/PMEL/TMAP.
*
* Access and use of this software shall impose the following
* obligations and understandings on the user. The user is granted the
* right, without any fee or cost, to use, copy, modify, alter, enhance
* and distribute this software, and any derivative works thereof, and
* its supporting documentation for any purpose whatsoever, provided
* that this entire notice appears in all copies of the software,
* derivative works and supporting documentation. Further, the user
* agrees to credit NOAA/PMEL/TMAP in any publications that result from
* the use of this software or in any product that includes this
* software. The names TMAP, NOAA and/or PMEL, however, may not be used
* in any advertising or publicity to endorse or promote any products
* or commercial entity unless specific written permission is obtained
* from NOAA/PMEL/TMAP. The user also understands that NOAA/PMEL/TMAP
* is not obligated to provide the user with any support, consulting,
* training or assistance of any kind with regard to the use, operation
* and performance of this software nor to provide the user with any
* updates, revisions, new versions or "bug fixes".
*
* THIS SOFTWARE IS PROVIDED BY NOAA/PMEL/TMAP "AS IS" AND ANY EXPRESS
* OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL NOAA/PMEL/TMAP BE LIABLE FOR ANY SPECIAL,
* INDIRECT OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER
* RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF
* CONTRACT, NEGLIGENCE OR OTHER TORTUOUS ACTION, ARISING OUT OF OR IN
* CONNECTION WITH THE ACCESS, USE OR PERFORMANCE OF THIS SOFTWARE.
*
* Ansley Manke
* November 2001
*
* v5.50 *acm* 10/02 Simplify the error message for missing data when the
* input is a simple 1-D time series.
*
* This function computes inverse fft transform spectrum for each A,B,
* where these are the real and imaginary part of the FFT coefficients.
*
* NOTE:
* IT IS GENERALLY ADVISABLE TO INCLUDE EXPLICIT LIMITS WHEN WORKING WITH
* FUNCTIONS THAT REPLACE AXES. FOR EXAMPLE, THE CONSIDER THE FUNCTION
* SORTL(v). THE EXPRESSION
* LIST/L=6:10 SORTL(v)
* IS NOT EQUIVALENT TO
* LIST SORTL(v[L=6:10])
* THE FORMER WILL LIST THE 6TH THROUGH 10TH SORTED INDICES FROM THE ENTIRE
* L RANGE OF VARIABLE V. THE LATTER WILL LIST ALL OF THE INDICES THAT
* RESULT FROM SORTING v[L=6:10].
*
*
* In this subroutine we provide information about
* the function. The user configurable information
* consists of the following:
*
* descr Text description of the function
*
* num_args Required number of arguments
*
* axis_inheritance Type of axis for the result
* ( CUSTOM, IMPLIED_BY_ARGS, NORMAL, ABSTRACT )
* CUSTOM - user defined axis
* IMPLIED_BY_ARGS - same axis as the incoming argument
* NORMAL - the result is normal to this axis
* ABSTRACT - an axis which only has index values
*
* piecemeal_ok For memory optimization:
* axes where calculation may be performed piecemeal
* ( YES, NO )
*
*
* For each argument we provide the following information:
*
* name Text name for an argument
*
* unit Text units for an argument
*
* desc Text description of an argument
*
* axis_influence Are this argument's axes the same as the result grid?
* ( YES, NO )
*
* axis_extend How much does Ferret need to extend arg limits relative to result
*
SUBROUTINE fft_inverse_init(id)
INCLUDE 'ferret_cmn/EF_Util.cmn'
INTEGER id, arg
CHARACTER*110 fcn_desc
* **********************************************************************
* USER CONFIGURABLE PORTION |
* |
* V
WRITE (fcn_desc, 20)
CALL ef_set_desc(id, fcn_desc)
20 FORMAT ( 'Computes inverse fft time series' )
CALL ef_set_num_args(id, 2)
CALL ef_set_axis_inheritance(id, IMPLIED_BY_ARGS,
. IMPLIED_BY_ARGS, IMPLIED_BY_ARGS, ABSTRACT)
CALL ef_set_piecemeal_ok(id, NO, NO, NO, NO)
CALL ef_set_num_work_arrays(id, 4)
arg = 1
CALL ef_set_arg_name(id, arg, 'A')
CALL ef_set_arg_unit(id, arg, ' ')
CALL ef_set_arg_desc(id, arg, 'Real part of FFT coefficients')
CALL ef_set_axis_influence(id, arg, YES, YES, YES, NO)
arg = 2
CALL ef_set_arg_name(id, arg, 'B')
CALL ef_set_arg_unit(id, arg, ' ')
CALL ef_set_arg_desc(id, arg,
. 'Imaginary part of FFT coefficients')
CALL ef_set_axis_influence(id, arg, YES, YES, YES, NO)
* ^
* |
* USER CONFIGURABLE PORTION |
***********************************************************************
RETURN
END
*
* In this subroutine we provide information about the lo and hi
* limits associated with each abstract or custom axis. The user
* configurable information consists of the following:
*
* lo_ss lo subscript for an axis
*
* hi_ss hi subscript for an axis
*
SUBROUTINE fft_inverse_result_limits(id)
INCLUDE 'ferret_cmn/EF_Util.cmn'
INCLUDE 'ferret_cmn/EF_mem_subsc.cmn'
INTEGER id
* **********************************************************************
* USER CONFIGURABLE PORTION |
* |
* V
INTEGER ntime, nfreq
INTEGER arg_lo_ss(4,EF_MAX_ARGS), arg_hi_ss(4,EF_MAX_ARGS),
. arg_incr(4,EF_MAX_ARGS)
* Use utility functions to get context information about the argument.
CALL ef_get_arg_subscripts(id, arg_lo_ss, arg_hi_ss, arg_incr)
ntime = 1
nfreq = arg_hi_ss(T_AXIS,ARG1) - arg_lo_ss(T_AXIS,ARG1) + 1
C The FFT code returns frequencies W(k) for k=1 to N/2, with N/2 rounded down
ntime = nfreq* 2
CALL ef_set_axis_limits(id, T_AXIS, 1, ntime)
* ^
* |
* USER CONFIGURABLE PORTION |
* **********************************************************************
RETURN
END
*
* In this subroutine we request an amount of storage to be supplied
* by Ferret and passed as an additional argument.
*
SUBROUTINE fft_inverse_work_size(id)
INCLUDE 'ferret_cmn/EF_Util.cmn'
INCLUDE 'ferret_cmn/EF_mem_subsc.cmn'
INTEGER id
* **********************************************************************
* USER CONFIGURABLE PORTION |
* |
*
* Set the work arrays, X/Y/Z/T dimensions
*
* ef_set_work_array_dims(id,array #,xlo,ylo,zlo,tlo,xhi,yhi,zhi,thi)
*
INTEGER mtdat, mtwork
INTEGER arg_lo_ss(4,1:EF_MAX_ARGS), arg_hi_ss(4,1:EF_MAX_ARGS),
. arg_incr(4,1:EF_MAX_ARGS)
CALL ef_get_arg_subscripts(id, arg_lo_ss, arg_hi_ss, arg_incr)
mtdat = 1 + arg_hi_ss(T_AXIS,ARG1) - arg_lo_ss(T_AXIS,ARG1)
mtwork = 4.* 2.5* mtdat + 15
* a
CALL ef_set_work_array_dims (id, 1, 1, 1, 1, 1, mtdat, 1, 1, 1)
* b
CALL ef_set_work_array_dims (id, 2, 1, 1, 1, 1, mtdat, 1, 1, 1)
* wft
CALL ef_set_work_array_dims (id, 3, 1, 1, 1, 1, mtwork, 1, 1, 1)
* ts
CALL ef_set_work_array_dims (id, 4, 1, 1, 1, 1, mtwork, 1, 1, 1)
* ^
* |
* USER CONFIGURABLE PORTION |
* **********************************************************************
RETURN
END
*
* In this subroutine we compute the result
*
SUBROUTINE fft_inverse_compute(id, arg_1, arg_2, result,
. a, b, wft, ts)
INCLUDE 'ferret_cmn/EF_Util.cmn'
INCLUDE 'ferret_cmn/EF_mem_subsc.cmn'
INTEGER id, arg
REAL bad_flag(1:EF_MAX_ARGS), bad_flag_result
REAL arg_1(mem1lox:mem1hix, mem1loy:mem1hiy,
. mem1loz:mem1hiz, mem1lot:mem1hit)
REAL arg_2(mem2lox:mem2hix, mem2loy:mem2hiy,
. mem2loz:mem2hiz, mem2lot:mem2hit)
REAL result(memreslox:memreshix, memresloy:memreshiy,
. memresloz:memreshiz, memreslot:memreshit)
* After initialization, the 'res_' arrays contain indexing information
* for the result axes. The 'arg_' arrays will contain the indexing
* information for each variable's axes.
INTEGER res_lo_ss(4), res_hi_ss(4), res_incr(4)
INTEGER arg_lo_ss(4,1:EF_MAX_ARGS), arg_hi_ss(4,1:EF_MAX_ARGS),
. arg_incr(4,1:EF_MAX_ARGS)
* **********************************************************************
* USER CONFIGURABLE PORTION |
* |
* V
* Dimension work arrays
REAL a(wrk1lox:wrk1hix, wrk1loy:wrk1hiy,
. wrk1loz:wrk1hiz, wrk1lot:wrk1hit)
REAL b(wrk2lox:wrk2hix, wrk2loy:wrk2hiy,
. wrk2loz:wrk2hiz, wrk2lot:wrk2hit)
REAL wft(wrk3lox:wrk3hix, wrk3loy:wrk3hiy,
. wrk3loz:wrk3hiz, wrk3lot:wrk3hit)
REAL ts(wrk4lox:wrk4hix, wrk4loy:wrk4hiy,
. wrk4loz:wrk4hiz, wrk4lot:wrk4hit)
INTEGER ntime, nfreq
INTEGER i,j,k,l
INTEGER i1, j1, k1, l1
CHARACTER*80 err_msg
40 FORMAT ('FFTA encountered missing data at (i,j,k,l)', 4I5)
50 FORMAT ('FFTA encountered missing data at L=', I5)
CALL ef_get_res_subscripts(id, res_lo_ss, res_hi_ss, res_incr)
CALL ef_get_arg_subscripts(id, arg_lo_ss, arg_hi_ss, arg_incr)
CALL ef_get_bad_flags(id, bad_flag, bad_flag_result)
* number of freq points.
arg = 1
nfreq = (arg_hi_ss(T_AXIS,arg) - arg_lo_ss(T_AXIS,arg) + 1)
ntime = nfreq* 2
* Check that arg1 and arg2 have the same axes.
IF (arg_lo_ss(X_AXIS,ARG1) .NE. arg_lo_ss(X_AXIS,ARG2) ) THEN
err_msg = 'X Axes of A and B coefficients must agree'
go to 999
ENDIF
IF (arg_lo_ss(Y_AXIS,ARG1) .NE. arg_lo_ss(Y_AXIS,ARG2) ) THEN
err_msg = 'Y Axes of A and B coefficients must agree'
go to 999
ENDIF
IF (arg_lo_ss(Z_AXIS,ARG1) .NE. arg_lo_ss(Z_AXIS,ARG2) ) THEN
err_msg = 'Z Axes of A and B coefficients must agree'
go to 999
ENDIF
IF (arg_lo_ss(T_AXIS,ARG1) .NE. arg_lo_ss(T_AXIS,ARG2) ) THEN
err_msg = 'T Axes of A and B coefficients must agree'
go to 999
ENDIF
* Set WFT for fft; prime factorization of ntime and trig functions.
CALL rffti (ntime, wft)
i1 = arg_lo_ss(X_AXIS,ARG1)
DO 400 i=res_lo_ss(X_AXIS), res_hi_ss(X_AXIS)
j1 = arg_lo_ss(Y_AXIS,ARG1)
DO 300 j=res_lo_ss(Y_AXIS), res_hi_ss(Y_AXIS)
k1 = arg_lo_ss(Z_AXIS,ARG1)
DO 200 k=res_lo_ss(Z_AXIS), res_hi_ss(Z_AXIS)
*
* Calculate the inverse FFT for each series which have no missing data.
l1 =arg_lo_ss(T_AXIS,ARG1)
DO 100 l = 1, nfreq
IF (arg_1(i1,j1,k1,l1) .EQ. bad_flag(ARG1) .OR.
. arg_2(i1,j1,k1,l1) .EQ. bad_flag(ARG2)) THEN
WRITE (err_msg, 40) i1,j1,k1,l
IF (i1 .EQ. ef_unspecified_int4 .AND.
. j1 .EQ. ef_unspecified_int4 .AND.
. k1 .EQ. ef_unspecified_int4 )
. WRITE (err_msg, 50) l
GO TO 999
ENDIF
A(l,1,1,1) = arg_1(i1,j1,k1,l1)
B(l,1,1,1) = arg_2(i1,j1,k1,l1)
l1 = l1 + arg_incr(T_AXIS,ARG1)
100 CONTINUE
CALL FFTINV (ntime, ts, a, b, wft)
DO 110 l = res_lo_ss(T_AXIS), res_hi_ss(T_AXIS)
result(i,j,k,l) = ts(l,1,1,1)
110 CONTINUE
k1 = k1 + arg_incr(Z_AXIS,ARG1)
200 CONTINUE
j1 = j1 + arg_incr(Y_AXIS,ARG1)
300 CONTINUE
i1 = i1 + arg_incr(X_AXIS,ARG1)
400 CONTINUE
RETURN
999 CALL ef_bail_out (id, err_msg)
* ^
* |
* USER CONFIGURABLE PORTION |
* **********************************************************************
RETURN
END
|
