apri_calc

DESCRIPTION

Apri_calc calculates a priori values necessary for cross correlation processing. Both SKED and VEX format files are supported as a schedule file.

The analysis method of the $CODES block in the SKED file is improved at Ver.2019-12-21 and later. As a consequence, it is possible to create an appropriate a-priori file even if the correspondence of frequency and CH# is different for each station. The option '-uoca' is added to keep compatibility with previous versions.

SYNOPSIS

[Type 1]

apri_calc skdfile [options]

skdfile schedule file name (either VEX or SKED format)
if "-" is accompanied with skdfile like "-skdfile", it means monitor only the contents of schedule file. option "-monit" as for Ver.2016-10-12 and later, option "-monit" gives the same function.
OPTIONS
-apedir apedir set directory for apriori file out. default is the environment variable K5APRIOUT. If this environment variable is not defined, then "../corrapri" will be applied as a default.
-baseid baseline_id set baseline ID (A2 or A4)
-coffset clock_offset set clock offset (sec) of Y station to X station. Positive value menas Y clock tic earlier than X clock tic. Default is 0.0
-crate clock_rate set clock rate (s/s) difference between X and Y station clock. Default is 0.0
-cepoch epoch set epoch of clock offset and clock rate epoch is a format of either YYYY/DDD-HH:MM:SS or YYYY/MM/DD-HH:MM:SS or YYYYDDDHHMMSS or 0 (0 means each PRT: Default is each PRT)
-g group set frequency group (1-4) for 4ch mode correspnding to a sampler host PC (default is 1)
When data format is set to other than "K5/VSSP", default becomes 0 (all channels will be selected)
-ch channel set frequency channel for 1ch mode (default is 1)
-start start_obs set start scan# (default is the 1st scan#)
-stop stop_obs set stop scan# (default is the last scan#)
-xdir xdir set X data file directory (default is "./")
-ydir ydir set Y data file directory (default is "./")
-ut1 ut1_c set UT1-UTC (sec)
-wobbx wobbx set Wobb X (arcsec)
-wobby wobby set Wobb Y (arcsec)
-type1 | -type2 set K5 observation file naming rule
-type1 : sidDDDNNNN.dat (default) -type2 : sidDDDHHMMSSG.dat
-type naming_type set K5 observation file naming rule
1 : Type 1 sidDDDNNNN.dat (default for SKED)
-1 : Type -1 sidDDDNNNN.#ch.dat
2 : Type 2 sidDDDHHMMSSG.dat
-2 : Type -2 sidDDDHHMMSSG.#ch.dat
3 : Type 3 expid_sidG_scanid_YYYYDDDHHMMSS.k5
4 : Unused
5 : Type 5 expid_scan#.stcode.k5a(-d) (default for VEX)
6 : Type 6 expid_sid_scanid.k5a(-d)
Note for Ver.2018-12-14 and after: "G" or "k5" extension is omitted for non-VSSP format
-typeX naming_type set K5 obs file naming rurle for X station
-typeY naming_type set K5 obs file naming rurle for Y station
-subnet | -nosubnet subnet mode control. Default is subnet on (-subnet)
-skey satellite_key set satellite key(s) for "NOZOMI" mode. If there are keys more than one, use " " like -skey "NOZ HYB HEO"
-xcoff x_clock_offset set clock offset (sec) of X station to UTC. Positive value menas X clock tic earlier than UTC clock tic. Default is 0.0
-lsb set sideband LSB compulsory in case of SKED file
-shift time shift start time of 1st scan to given time, where time is either YYYY/DDD-HH:MM:SS or YYYY/MM/DD-HH:MM:SS or YYYYDDDHHMMSS.
-format format [sampling_cond|info_file]
set data format and sampling information of both station as the same format
format: VDIF|MK5|M5B|OCTAD|ADS|VSSP (default is VSSP)
sampling_cond: sampling information for M5B, OCTAD, ADS formats as follows.
xM[Hz]nB[IT]mC[H] (any order), where
x -- sampling frequency (MHz)
n -- # of AD bits
m -- # of channels
info_file: information file for MK5 format generated by m5tok5 (Ver.2020-06-12 and later)
-formX format [sampling_cond|info_file]
set data format and sampling information for X station (default is VSSP)
-formY format [sampling_cond|info_file]
set data format and sampling information for Y station (default is VSSP)
==== following options are valid for Ver.2016-10-12 and later ====
-source star_name set extracting scans by a star name from a schedule file.
-m[onit] set monitor mode
==== following options are valid for Ver.2017-09-05 and later ====
-ext extension set extension of data file name compulsorily
-extX extension set extension of X data file name compulsorily
-extY extension set extension of Y data file name compulsorily
==== following options are valid for Ver.2017-10-18 and later ====
-chx [ch1,ch2,...] assign channel compulsory for X station instead of VEX description in case of non-VSSP format when parameters ch1,ch2,... omitted use 1 2 3 4 ....
-chy [ch1,ch2,...] assign channel compulsory for Y station instead of VEX description in case of non-VSSP format when parameters ch1,ch2,... omitted use 1 2 3 4 ....
==== following options are valid for Ver.2019-05-23 and later ====
-thread thread_num set thread# for X and Y data (VDIF only) (starting from 0). Default is 1st thread# in data.
-threadX thread_num set thread# for X data (VDIF only) (starting from 0). Default is 1st thread# in data.
-threadY thread_num set thread# for X data (VDIF only) (starting from 0). Default is 1st thread# in data.
==== following options are valid for Ver.2019-12-03 and later ====
-thread MULTI|th1[,th2[,th3,....]]
set thread# for X and Y data (VDIF only)
MULTI : set default thread#s for each channel for single-ch/thread multi-thread VDIF data (that is 0,1,2,3,...)
th1[,th2[th3,...]]] : set thread #s for each channel. only th1 means use same thread# for all CHs
-threadX MULTI|th1[,th2[,th3,....]]
set thread# for X data (VDIF only)
-threadY MULTI|th1[,th2[,th3,....]]
set thread# for Y data (VDIF only)
==== following options are valid for Ver.2019-12-21 and later ====
-uoca use old method to analyze $CODE block of SKED file to keep compatibility with the version before 2019-12-21. ("uoca" stands for Use Old Code Analysis)
-legacy as same as option '-uoca'.

[Type 2]

apri_calc skdfile [apedir [baseid coffset roffset frqgr nobs1 nobs2 xdir ydir ut1_c wobbx wobby [naming_type [subnet [xcoff [source]]]]]

skdfile schedule file name (either VEX or SKED format)
if "-" is accompanied with skdfile like "-skdfile", it means monitor only the contents of schedule file. option "-monit" as for Ver.2016-10-12 and later, option "-monit" gives the same function.
apedir a-priori file out directory; default is given by environmental variable K5APRIOUT. If this is not defined program default will be applied.
if following parameters are omitted, they will be asked interactively
baseid baseline ID (A2 or A4)
coffset clock offset (sec)
roffset clock rate offset (s/s)
frqgr frequency group# corresponding to observation PC (1-4)
nobs1 start scan#
nobs2 stop scan# (nobs1=0, nobs2=0 for all scans)
xdir data file directory for X station
ydir data file directory for Y station
ut1_c UT1-UTC (sec)
wobbx WobbX (arcsec)
wobby WobbX (arcsec)
naming_type K5 observation file naming rule
1 : Type 1 sidDDDNNNN.dat (default for SKED)
-1 : Type -1 sidDDDNNNN.#ch.dat
2 : Type 2 sidDDDHHMMSSG.dat
-2 : Type -2 sidDDDHHMMSSG.#ch.dat
3 : Type 3 expid_sidG_scanid_YYYYDDDHHMMSS.k5
4 : Unused
5 : Type 5 expid_scan#.stcode.k5a(-d) (default for VEX)
6 : Type 6 expid_sid_scanid.k5a(-d)
Note for Ver.2018-12-14 and after: "G" or "k5" extension is omitted for non-VSSP format
subnet subnet mode control 0: no-subnet, 1: subnet on(dflt)
xcoff X clock offset to UTC (sec)
==== following option is valid for Ver.2016-10-12 and later ====
source set extracting scans by a star name from a schedule file

[Monitoring Environmental Variables]

apri_calc env

check environmental variables used in "apri_calc"

K5SKED -- default directory for schedule file
K5APRIDIR -- default directory for apriori file
K5NAMING -- default out file naming rule

[Note 1: Naming rule of observation data file]

[Note 2: Naming rule of created a-priori File]

[Note 3: Clock parameters and epoch]

Clock offset coffset is given as


where co is clock offset used at "apri_calc" and Δτ is residual delay obtained by "sdelay".

Clock rate crate is given as


where c1 is clock offset obtained for a scan at time t1 and c2 is clock offset obtained for a scan at time t2, where t1 and t2 are PRT (processing reference time) given by a unit of second. If an experiment session extends on the next day, take the day difference into consideration.

If clock rate is not 0, clock epock should be set as t1.

EXAMPLES (monitoring schedule)

[Ex.1 Checking environmental variables]

	$ apri_calc env
	apri_calc (Ver. 2016-10-12)
	   Enviroment variables
	        K5SKED ---   default directory for schedule file
	                      ( (null) ),  program deflt is ( ./ )
	        K5APRIDIR ---   default directory for apriori file
	                      ( (null) ),  program deflt is ( ../corrapri/ )
	        K5NAMING ---   default K5 file naming rule
	                        1 | -1 | 2 | -2 | 3 | 5
	                      ( (null) ),  program deflt is ( 1 )
	        K5SATKEY ---   default satellite keyword of 1ch obs
	                      ( (null) ),  program deflt is ( HYB NOZ GEO )

[Ex.2 Checking a schedule file]

	$ apri_calc -k10189.skd   (or apri_calc k10189.skd -monit)
	apri_calc (Ver. 2016-10-12)

	====================== RUN CONDITION ========================
	  K5 file naming type is  Type 1 : sidDDDNNNN.dat (SKED deflt)
	=============================================================
	SkdMonit: *********** Schedule file monitor **********
	SkdMonit: Schedule file = ./k10189.skd
	SkdMonit: Expcode       = K10189
	SkdMonit: Total Scan #  = 2203
	SkdMonit: Total Star #  = 12
	SkdMonit:
	SkdMonit:  1st   Scan   = 2010/07/07 20:05:00  3C84
	SkdMonit:  Last  Scan   = 2010/07/11 00:00:21  3C84
	SkdMonit:
	SkdMonit: ---------- Station ID Table ----------
	SkdMonit:  G --- KOGANEI
	SkdMonit:  R --- KASHIM11
	SkdMonit: --------------------------------------
	SkdMonit: ------- Star Table -------------------
	SkdMonit:          NAME1      NAME2  R.A.(deg)   DEC(deg)   EPOCH
	SkdMonit:   1   0212+735          $  34.378389  73.825728 2000.000000
	SkdMonit:   2   0727-115          $ 112.579635 -11.686833 2000.000000
	SkdMonit:   3   1921-293          $ 291.212733 -29.241700 2000.000000
	SkdMonit:   4   2134+004    2134+00 324.160776   0.698393 2000.000000
	SkdMonit:   5   2145+067          $ 327.022744   6.960723 2000.000000
	SkdMonit:   6   1226+023     3C273B 187.277916   2.052388 2000.000000
	SkdMonit:   7   1253-055      3C279 194.046527  -5.789312 2000.000000
	SkdMonit:   8   1641+399      3C345 250.745042  39.810276 2000.000000
	SkdMonit:   9   2223-052      3C446 336.446914  -4.950386 2000.000000
	SkdMonit:  10   2251+158    3C454.3 343.490616  16.148211 2000.000000
	SkdMonit:  11   0316+413       3C84  49.950667  41.511695 2000.000000
	SkdMonit:  12   0923+392    4C39.25 141.762558  39.039126 2000.000000
	SkdMonit: --------------------------------------
	SkdMonit: ------- Frequency (MHz) Table --------
	SkdMonit: Gr# 1    7700.99 U   7710.99 U   7720.99 U   7850.99 U
	SkdMonit: Gr# 2    8090.99 U   8290.99 U   8490.99 U   8550.99 U
	SkdMonit: Gr# 3    8570.99 U   8580.99 U   2210.99 U   2220.99 U
	SkdMonit: Gr# 4    2240.99 U   2290.99 U   2330.99 U   2340.99 U
	SkdMonit: --------------------------------------
	SkdMonit: ------- PCAL Freq (kHz) Table ---------
	SkdMonit: Gr# 1    4010.0   4010.0   4010.0   4010.0
	SkdMonit: Gr# 2    4010.0   4010.0   4010.0   4010.0
	SkdMonit: Gr# 3    4010.0   4010.0   4010.0   4010.0
	SkdMonit: Gr# 4    4010.0   4010.0   4010.0   4010.0
	SkdMonit: --------------------------------------

[Ex.3 Checking a schedule file (set star name)]

	$ apri_calc -k10189.skd -source 3C273B   <== set star name "3C273B" by option '-source'

	apri_calc (Ver. 2016-10-12)

	====================== RUN CONDITION ========================
	  K5 file naming type is  Type 1 : sidDDDNNNN.dat (SKED deflt)
	  Pickup Source Name : 3C273B     <== this is the star name to be picked up
	=============================================================
	SkdMonit: *********** Schedule file monitor **********
	SkdMonit: Schedule file = ./k10189.skd
	SkdMonit: Expcode       = K10189
	SkdMonit: Total Scan #  = 2203
	SkdMonit: Total Star #  = 12
	SkdMonit:
	SkdMonit:  1st   Scan   = 2010/07/07 20:05:00  3C84
	SkdMonit:  Last  Scan   = 2010/07/11 00:00:21  3C84
	SkdMonit:
	SkdMonit: ---------- Station ID Table ----------
	SkdMonit:  G --- KOGANEI
	SkdMonit:  R --- KASHIM11
	SkdMonit: --------------------------------------
	SkdMonit: ------- Star Table -------------------
	SkdMonit:          NAME1      NAME2  R.A.(deg)   DEC(deg)   EPOCH
	SkdMonit:   1   0212+735          $  34.378389  73.825728 2000.000000
	SkdMonit:   2   0727-115          $ 112.579635 -11.686833 2000.000000
	SkdMonit:   3   1921-293          $ 291.212733 -29.241700 2000.000000
	SkdMonit:   4   2134+004    2134+00 324.160776   0.698393 2000.000000
	SkdMonit:   5   2145+067          $ 327.022744   6.960723 2000.000000
	SkdMonit:   6   1226+023     3C273B 187.277916   2.052388 2000.000000
	SkdMonit:   7   1253-055      3C279 194.046527  -5.789312 2000.000000
	SkdMonit:   8   1641+399      3C345 250.745042  39.810276 2000.000000
	SkdMonit:   9   2223-052      3C446 336.446914  -4.950386 2000.000000
	SkdMonit:  10   2251+158    3C454.3 343.490616  16.148211 2000.000000
	SkdMonit:  11   0316+413       3C84  49.950667  41.511695 2000.000000
	SkdMonit:  12   0923+392    4C39.25 141.762558  39.039126 2000.000000
	SkdMonit: --------------------------------------
	SkdMonit: ------- Frequency (MHz) Table --------
	SkdMonit: Gr# 1    7700.99 U   7710.99 U   7720.99 U   7850.99 U
	SkdMonit: Gr# 2    8090.99 U   8290.99 U   8490.99 U   8550.99 U
	SkdMonit: Gr# 3    8570.99 U   8580.99 U   2210.99 U   2220.99 U
	SkdMonit: Gr# 4    2240.99 U   2290.99 U   2330.99 U   2340.99 U
	SkdMonit: --------------------------------------
	SkdMonit: ------- PCAL Freq (kHz) Table ---------
	SkdMonit: Gr# 1    4010.0   4010.0   4010.0   4010.0
	SkdMonit: Gr# 2    4010.0   4010.0   4010.0   4010.0
	SkdMonit: Gr# 3    4010.0   4010.0   4010.0   4010.0
	SkdMonit: Gr# 4    4010.0   4010.0   4010.0   4010.0
	SkdMonit: --------------------------------------
	SkdMonit: --------- PICKUP SCAN TABLE ----------    <== scans picked up are displayed
	SkdMonit: SCAN#     SOURCE YYYY/DDD HH:MM:SS DURA  STATION_IDS 
	SkdMonit:    84     3C273B 2010/189 02:56:33   30  G R
	SkdMonit:    87     3C273B 2010/189 03:01:02   30  G R
	SkdMonit:    90     3C273B 2010/189 03:06:44   30  G R
	          ......
	SkdMonit:  1791     3C273B 2010/191 10:58:40   30  G R
	SkdMonit:  1795     3C273B 2010/191 11:09:26   30  G R
	SkdMonit:  1797     3C273B 2010/191 11:14:24   30  G R
	SkdMonit:  1799     3C273B 2010/191 11:20:11   30  G R
	SkdMonit: --------------------------------------

This is a useful to pick up strong source scans.

[Ex.4 Checking a schedule file (set baseline and star name)]

	$ apri_calc -eg094a.vex -baseid KsSh -source 3C454.3   
	       <== baseline is selected by option 'baseid' (2 characters for SKED file and 4 chracters for VEX)
	           star name is set by option '-source'

	apri_calc (Ver. 2016-10-12)

	====================== RUN CONDITION ========================
	  K5 file naming type is  Type 1 : sidDDDNNNN.dat (SKED deflt)
	  Pickup Source Name : 3C454.3      <== star name
	  Pickup Baseline ID : KsSh         <== baseline
	=============================================================
	search_site: No CLOCK info for ATCA included in the VEX FILE.
	search_site: So all 0 for clock information was set.
	search_site: No CLOCK info for PARKES included in the VEX FILE.
	search_site: So all 0 for clock information was set.
	        .......
	search_site: No CLOCK info for IRBENE included in the VEX FILE.
	search_site: So all 0 for clock information was set.
	SkdMonit: *********** Schedule file monitor **********
	SkdMonit: Schedule file = ./eg094a.vex
	SkdMonit: Expcode       = eg094a
	SkdMonit: Total Scan #  = 74
	SkdMonit: Total Star #  = 4
	SkdMonit:
	SkdMonit:  1st   Scan   = 2016/09/20 12:57:00  2223-052
	SkdMonit:  Last  Scan   = 2016/09/20 23:47:10  2215+020
	SkdMonit:
	SkdMonit: ---------- Station ID Table ----------
	SkdMonit:  At --- ATCA
	SkdMonit:  Pa --- PARKES
	SkdMonit:  Mp --- MOPRA
	SkdMonit:  Ho --- HOB_DBBC
	SkdMonit:  Cd --- CDDBBC
	SkdMonit:  Ti --- DSS43LBA
	SkdMonit:  Ks --- KASHIM34
	SkdMonit:  Ww --- WARK12M
	SkdMonit:  T6 --- TIANMA65
	SkdMonit:  Ur --- URUMQI
	SkdMonit:  Sh --- SHANGHAI
	SkdMonit:  Bd --- BADARY
	      ......
	SkdMonit:  Mc --- MEDICINA
	SkdMonit:  O8 --- ONSALA85
	SkdMonit:  Tr --- TORUN
	SkdMonit:  Hh --- HART
	SkdMonit:  Ir --- IRBENE
	SkdMonit: (Note that 1 char station ID is not defined in a VEX file)
	SkdMonit: --------------------------------------
	SkdMonit: ------- Star Table -------------------
	SkdMonit:          NAME1      NAME2  R.A.(deg)   DEC(deg)   EPOCH
	SkdMonit:   1     FAKERA            180.000000  85.000000 2000.000000
	SkdMonit:   2   2215+020            334.450991   2.336309 2000.000000
	SkdMonit:   3   2223-052            336.446914  -4.950386 2000.000000
	SkdMonit:   4    3C454.3            343.490616  16.148211 2000.000000
	SkdMonit: --------------------------------------
	SkdMonit: ------- Frequency (MHz) Table --------
	SkdMonit: Gr# 1    1668.00 L   1668.00 U   1668.00 L   1668.00 U
	SkdMonit: --------------------------------------
	SkdMonit: ------- PCAL Freq (kHz) Table ---------
	SkdMonit: Gr# 1    2000.0   2000.0   2000.0   2000.0
	SkdMonit: --------------------------------------
	SkdMonit: --------- PICKUP SCAN TABLE ----------   <== scans satisfying star name and baseline are displayed
	SkdMonit: SCAN#     SOURCE YYYY/DDD HH:MM:SS DURA  STATION_IDS
	SkdMonit:    14    3C454.3 2016/264 14:41:30  480  At Pa Mp Ho Cd Ti Ks Ww T6 Ur Sh Bd
	SkdMonit:    29    3C454.3 2016/264 17:01:00  480  At Mp Ho Cd Ti Ks T6 Ur Sh Bd Sv Zc 
	SkdMonit: --------------------------------------

EXAMPLES (in case of K5/VSSP)

[Ex.1 Non-interactive operation]

Following example shows non-interactive operation in case that schedule file is "k10189.skd" in the "../corrapri" directory, baseline ID="RG", scan#=8, clock offset=8.0e-6 sec, and the directory of a-priori output is "./".

	$ apri_calc k10189.skd -baseid RG -apedir ./ -start 8 -stop 8 -coffset 8.0e-6
	apri_calc (Ver. 2016-10-12)

	====================== RUN CONDITION ========================
	  K5 file naming type is  Type 1 : sidDDDNNNN.dat (SKED deflt)
	  Sub-net mode ON : PRT is set according to each scan length
	  Output directory : ./
	=============================================================

	**************** Schedule File Information ******************
	 File name     ---  ./k10189.skd
	 File type     ---  SKED
	 Exp. code     ---  K10189
	 # of stations ---  2
	                    G R
	 # of stars    ---  12
	 # of scans    ---  2203
	 1st   Scan : 2010/07/07 20:05:00  3C84
	 Last  Scan : 2010/07/11 00:00:21  3C84
	*************************************************************

	 ------ STATION ID TABLE --------
	  G --- KOGANEI
	  R --- KASHIM11
	 --------------------------------
	 Station ID for X station : R
	 Station ID for Y station : G
	 Selected Baseline is R-G
	 Sampling Information is as follows
	                  from schedule file          from operator
	      KASHIM11  :    32MHz 1bit 16CH         0MHz 0bit  0CH
	       KOGANEI  :    32MHz 1bit 16CH         0MHz 0bit  0CH

	 Data directory for X station (KASHIM11) : ./
	 Data directory for Y station (KOGANEI) : ./
	 Frequency group and frequencies
	  Gr# 1 :   7700.99MHz U  7710.99MHz U  7720.99MHz U  7850.99MHz U
	  Gr# 2 :   8090.99MHz U  8290.99MHz U  8490.99MHz U  8550.99MHz U
	  Gr# 3 :   8570.99MHz U  8580.99MHz U  2210.99MHz U  2220.99MHz U
	  Gr# 4 :   2240.99MHz U  2290.99MHz U  2330.99MHz U  2340.99MHz U
	 Frequency Group# : 1
	 Gr# 1 is selected
	 PCAL freq (kHz) :  4010.0 4010.0 4010.0 4010.0
	 Clock offset and rate : 8e-06 0
	 Clock Epoch : 0/000 00:00:00
	 X Clock offset against UTC : 0.000000

	 ut1,wobbx,wobby : 0.000000 0.000000 0.000000

	 # of scans    ---  2203
	 Scan range : 8 - 8

	   8 2010189001135  4C39.25              0              0              0

	 Apriori File  ( ./ape1880008RGa.txt ) created

	 Total # of a-priori files created is 1

[Ex.2 Interactive operation]

	$ apri_calc k10189.skd -apedir apeout <== execute with "-apedir" option to set a-priori out ditectory to "apeout"
	apri_calc (Ver. 2016-10-12)

	====================== RUN CONDITION ========================
	  K5 file naming type is  Type 1 : sidDDDNNNN.dat (SKED deflt)
	  Sub-net mode ON : PRT is set according to each scan length
	  Output directory : apeout        <== if this directory does'nt exits, program will stop with warning message.
	=============================================================

	**************** Schedule File Information ******************
	 File name     ---  ./k10189.skd
	 File type     ---  SKED
	 Exp. code     ---  K10189
	 # of stations ---  2
	                    G R
	 # of stars    ---  12
	 # of scans    ---  2203
	 1st   Scan : 2010/07/07 20:05:00  3C84
	 Last  Scan : 2010/07/11 00:00:21  3C84
	*************************************************************

	 ------ STATION ID TABLE --------
	  G --- KOGANEI
	  R --- KASHIM11
	 --------------------------------
	 Enter Station ID for X station ----> R  <== select station ID for X station
	 Enter Station ID for Y station ----> G  <== select station ID for Y station
	 Selected Baseline is R-G
	 Sampling Information is as follows
	                  from schedule file          from operator
	      KASHIM11  :    32MHz 1bit 16CH         0MHz 0bit  0CH
	       KOGANEI  :    32MHz 1bit 16CH         0MHz 0bit  0CH

	 Enter data directory for X station (KASHIM11)
	  ---> ./     <== set X station data directory
	 Enter data directory for Y station (KOGANEI)
	  ---> ./     <== set X station data directory
	 Data directory for X station (KASHIM11) : ./
	 Data directory for Y station (KOGANEI) : ./
	 Frequency group and frequencies
	  Gr# 1 :   7700.99MHz U  7710.99MHz U  7720.99MHz U  7850.99MHz U
	  Gr# 2 :   8090.99MHz U  8290.99MHz U  8490.99MHz U  8550.99MHz U
	  Gr# 3 :   8570.99MHz U  8580.99MHz U  2210.99MHz U  2220.99MHz U
	  Gr# 4 :   2240.99MHz U  2290.99MHz U  2330.99MHz U  2340.99MHz U
	 Enter Frequency Group# ----> 2  <== select frequency group
	 Frequency Group# : 2
	 Gr# 2 is selected
	 PCAL freq (kHz) :  4010.0 4010.0 4010.0 4010.0
	 Enter Clock Offset (sec) ----> 0.0  <== set clock offset 
	                                         (reflect clock offset after fringe search)
	 Enter Clock Rate (s/s)  -----> 0.0  <==  if non zero value is set, epoch will be asked as follows.
	 
	  Enter Clock Epoch (YYYY/DDD-HH:MM:SS|YYYY/MM/DD-HH:MM:SS|YYYYDDDHHMMSS)
	   0 for each PRT (old style)
	   ----> 2010/07/07-20:05:00       <== enter epoch. If you enter 0, epoch is regarded as each
	                                       PRT (processing reference time).
	                                       
	 Clock offset and rate : 0 0       <== here clock rate is reflected 
	 Clock Epoch : 0/000 00:00:00      <== here epock is reflected
	 X Clock offset against UTC : 0.000000   <== tis parameter can not be set in case of interactive operation
	 Enter UT1-UTC (sec)   ----> 0.0   <== if precise value is not clear, 0 is OK.
	 Enter Wobb X (arcsec) ----> 0.0   <== if precise value is not clear, 0 is OK.
	 Enter Wobb Y (arcsec) ----> 0.0   <== if precise value is not clear, 0 is OK.

	 ut1,wobbx,wobby : 0.000000 0.000000 0.000000

	 # of scans    ---  2203
	 Enter Start Scan number ----> 8   <== start scan#
	 Enter Stop  Scan number ----> 8   <== stop  scan#
	 Scan range : 8 - 8

	   8 2010189001135  4C39.25              0              0              0

	 Apriori File  ( apeout/ape1880008RGb.txt ) created

	 Total # of a-priori files created is 1

[Ex.3 Interactive operation (limited star name)]

	$ apri_calc k10189.skd -source 3C273B   <== star name is limited to "3C273B" by option '-source'
	apri_calc (Ver. 2016-10-12)

	====================== RUN CONDITION ========================
	  K5 file naming type is  Type 1 : sidDDDNNNN.dat (SKED deflt)
	  Sub-net mode ON : PRT is set according to each scan length
	  Pickup Source Name : 3C273B                  <== radio star name
	  Output directory : ../corrapri/
	=============================================================

	**************** Schedule File Information ******************
	 File name     ---  ./k10189.skd
	 File type     ---  SKED
	 Exp. code     ---  K10189
	 # of stations ---  2
	                    G R
	 # of stars    ---  12
	 # of scans    ---  2203
	 1st   Scan : 2010/07/07 20:05:00  3C84
	 Last  Scan : 2010/07/11 00:00:21  3C84
	*************************************************************

	 ------ STATION ID TABLE --------
	  G --- KOGANEI
	  R --- KASHIM11
	 --------------------------------
	 Enter Station ID for X station ----> R
	 Enter Station ID for Y station ----> G
	 Selected Baseline is R-G
	 Sampling Information is as follows
	                  from schedule file          from operator
	      KASHIM11  :    32MHz 1bit 16CH         0MHz 0bit  0CH
	       KOGANEI  :    32MHz 1bit 16CH         0MHz 0bit  0CH

	 Enter data directory for X station (KASHIM11)
	  ---> ./
	 Enter data directory for Y station (KOGANEI)
	  ---> ./
	 Data directory for X station (KASHIM11) : ./
	 Data directory for Y station (KOGANEI) : ./
	 Frequency group and frequencies
	  Gr# 1 :   7700.99MHz U  7710.99MHz U  7720.99MHz U  7850.99MHz U
	  Gr# 2 :   8090.99MHz U  8290.99MHz U  8490.99MHz U  8550.99MHz U
	  Gr# 3 :   8570.99MHz U  8580.99MHz U  2210.99MHz U  2220.99MHz U
	  Gr# 4 :   2240.99MHz U  2290.99MHz U  2330.99MHz U  2340.99MHz U
	 Enter Frequency Group# ----> 1
	 Frequency Group# : 1
	 Gr# 1 is selected
	 PCAL freq (kHz) :  4010.0 4010.0 4010.0 4010.0
	 Enter Clock Offset (sec) ----> 0
	 Enter Clock Rate (s/s)  -----> 0
	 Clock offset and rate : 0 0
	 Clock Epoch : 0/000 00:00:00
	 X Clock offset against UTC : 0.000000
	 Enter UT1-UTC (sec)   ----> 0
	 Enter Wobb X (arcsec) ----> 0
	 Enter Wobb Y (arcsec) ----> 0

	 ut1,wobbx,wobby : 0.000000 0.000000 0.000000

	 # of scans    ---  2203
	 Enter Start Scan number ----> 0      <== 0 means all scans
	 Enter Stop  Scan number ----> 0      <== 0 means all scans
	 Scan range : 1 - 2203

	  84 2010189025648   3C273B              0              0              0
	                                        <== scans for 3C273B are extracted

	 Apriori File  ( ../corrapri/ape1880084RGa.txt ) created
	  87 2010189030117   3C273B              0              0              0

	 Apriori File  ( ../corrapri/ape1880087RGa.txt ) created
	  90 2010189030659   3C273B              0              0              0

	  ........
	  
	 Apriori File  ( ../corrapri/ape1881797RGa.txt ) created
	1799 2010191112026   3C273B              0              0              0

	 Apriori File  ( ../corrapri/ape1881799RGa.txt ) created

	 Total # of a-priori files created is 168

[Ex.4 Non-interactive operation of Ex.3]

	$ apri_calc k10189.skd ../corrapri RG 0 0 1 0 0 ./ ./ 0 0 0 1 0 0 3C273B
	apri_calc (Ver. 2016-10-12)

	====================== RUN CONDITION ========================
	  K5 file naming type is  Type 1 : sidDDDNNNN.dat (SKED deflt)
	  Sub-net mode OFF: PRT is set based on the longest scan
	  Pickup Source Name : 3C273B
	  Output directory : ../corrapri
	=============================================================

	**************** Schedule File Information ******************
	 File name     ---  ./k10189.skd
	 File type     ---  SKED
	 Exp. code     ---  K10189
	 # of stations ---  2
	                    G R
	 # of stars    ---  12
	 # of scans    ---  2203
	 1st   Scan : 2010/07/07 20:05:00  3C84
	 Last  Scan : 2010/07/11 00:00:21  3C84
	*************************************************************

	 ------ STATION ID TABLE --------
	  G --- KOGANEI
	  R --- KASHIM11
	 --------------------------------
	 Station ID for X station : R
	 Station ID for Y station : G
	 Selected Baseline is R-G
	 Sampling Information is as follows
	                  from schedule file          from operator
	      KASHIM11  :    32MHz 1bit 16CH         0MHz 0bit  0CH
	       KOGANEI  :    32MHz 1bit 16CH         0MHz 0bit  0CH

	 Data directory for X station (KASHIM11) : ./
	 Data directory for Y station (KOGANEI) : ./
	 Frequency group and frequencies
	  Gr# 1 :   7700.99MHz U  7710.99MHz U  7720.99MHz U  7850.99MHz U
	  Gr# 2 :   8090.99MHz U  8290.99MHz U  8490.99MHz U  8550.99MHz U
	  Gr# 3 :   8570.99MHz U  8580.99MHz U  2210.99MHz U  2220.99MHz U
	  Gr# 4 :   2240.99MHz U  2290.99MHz U  2330.99MHz U  2340.99MHz U
	 Frequency Group# : 1
	 Gr# 1 is selected
	 PCAL freq (kHz) :  4010.0 4010.0 4010.0 4010.0
	 Clock offset and rate : 0 0
	 Clock Epoch : 0/000 00:00:00
	 X Clock offset against UTC : 0.000000

	 ut1,wobbx,wobby : 0.000000 0.000000 0.000000

	 # of scans    ---  2203
	 Scan range : 1 - 2203

	  84 2010189025648   3C273B              0              0              0

	 Apriori File  ( ../corrapri/ape1880084RGa.txt ) created
	  87 2010189030117   3C273B              0              0              0

	  ...........
	  
	 Apriori File  ( ../corrapri/ape1881797RGa.txt ) created
	1799 2010191112026   3C273B              0              0              0

	 Apriori File  ( ../corrapri/ape1881799RGa.txt ) created

	 Total # of a-priori files created is 168

A-priori files are created under the "apeout" directory. If a-priori output directory is not specified, a-priori files are created under the "../corrapri" directory.

EXAMPLES (in case of VDIF Format Data)

	$ apri_calc ..sked/ks15002.skd -format VDIF  <== Data format "VDIF" is specified by "-format VDIF" option
	apri_calc (Ver. 2016-10-12)

	====================== RUN CONDITION ========================
	  K5 file naming type is  Type 1 : sidDDDNNNN.dat (SKED deflt)
	  Sub-net mode ON : PRT is set according to each scan length
	  X station data format :   VDIF          <== specified data format for X station
	  Y station data format :   VDIF          <== specified data format for Y station
	  Output directory : ../corrapri/
	=============================================================

	**************** Schedule File Information ******************
	 File name     ---  ../src/ks15002.skd
	 File type     ---  SKED
	 Exp. code     ---  KS15002
	 # of stations ---  5
	                    G R Y B O
	 # of stars    ---  16
	 # of scans    ---  289
	 1st   Scan : 2015/01/02 02:00:00  3C345
	 Last  Scan : 2015/01/03 02:02:43  0059+581
	*************************************************************

	 ------ STATION ID TABLE --------
	  G --- KOGANEI
	  R --- KASHIM11
	  Y --- TATEYAMA
	  B --- MIURA
	  O --- KASHIM34
	 --------------------------------
	 Enter Station ID for X station ----> R
	 Enter Station ID for Y station ----> G
	 Selected Baseline is R-G
	 Sampling Information is as follows     (display sampling information)
	                  from schedule file          from operator
	      KASHIM11  :    16MHz 1bit 16CH         0MHz 0bit  0CH
	       KOGANEI  :    16MHz 1bit 16CH         0MHz 0bit  0CH

	 Enter data directory for X station (KASHIM11)
	  ---> ./              <== set data directory for X station
	 Enter data directory for Y station (KOGANEI)
	  ---> ./              <== set data directory for X station
	 Data directory for X station (KASHIM11) : ./
	 Data directory for Y station (KOGANEI) : ./
	 Frequency group and frequencies
	  Gr# 1 :   7864.99MHz U  7874.99MHz U  7884.99MHz U  8014.99MHz U
	  Gr# 2 :   8114.99MHz U  8244.99MHz U  8504.99MHz U  8544.99MHz U
	  Gr# 3 :   8564.99MHz U  8574.99MHz U  2214.99MHz U  2224.99MHz U
	  Gr# 4 :   2234.99MHz U  2264.99MHz U  2294.99MHz U  2304.99MHz U
	 Enter Frequency Group# (0 for all) ----> 0    <== select all frequencies
	 All frequency mode is selected!
	 Enter Clock Offset (sec) ----> 0
	 Enter Clock Rate (s/s)  -----> 0
	 Clock offset and rate : 0 0
	 Clock Epoch : 0/000 00:00:00
	 X Clock offset against UTC : 0.000000
	 Enter UT1-UTC (sec)   ----> 0
	 Enter Wobb X (arcsec) ----> 0
	 Enter Wobb Y (arcsec) ----> 0

	 ut1,wobbx,wobby : 0.000000 0.000000 0.000000

	 # of scans    ---  289
	 Enter Start Scan number ----> 1
	 Enter Stop  Scan number ----> 2
	 Scan range : 1 - 2

	   1 2015002020045    3C345              0              0              0

	 Apriori File  ( ../corrapri/ape0020001RG.txt ) created
	   2 2015002020520  3C454.3              0              0              0

	 Apriori File  ( ../corrapri/ape0020002RG.txt ) created

	 Total # of a-priori files created is 2

Edit an a-priori file by a text editor if necessary.

EXAMPLES (in case of Mark-5B format Data)

	$ apri_calc ..sked/ks15002.skd -format M5B  <== Data format "Mark-5B" is specified by "-format M5B" option
	apri_calc (Ver. 2016-10-12)

	====================== RUN CONDITION ========================
	  K5 file naming type is  Type 1 : sidDDDNNNN.dat (SKED deflt)
	  Sub-net mode ON : PRT is set according to each scan length
	  X station data format :   Mark-5B       <== specified data format for X station
	  Y station data format :   Mark-5B       <== specified data format for Y station
	=============================================================

	**************** Schedule File Information ******************
	 File name     ---  ../src/ks15002.skd
	 File type     ---  SKED
	 Exp. code     ---  KS15002
	 # of stations ---  5
	                    G R Y B O
	 # of stars    ---  16
	 # of scans    ---  289
	 1st   Scan : 2015/01/02 02:00:00  3C345
	 Last  Scan : 2015/01/03 02:02:43  0059+581
	*************************************************************

	 ------ STATION ID TABLE --------
	  G --- KOGANEI
	  R --- KASHIM11
	  Y --- TATEYAMA
	  B --- MIURA
	  O --- KASHIM34
	 --------------------------------
	 Enter Station ID for X station ----> R
	 Enter Station ID for Y station ----> G
	 Selected Baseline is R-G
	 Sampling Information is as follows     (display sampling information)
	                  from schedule file          from operator
	      KASHIM11  :    16MHz 1bit 16CH         0MHz 0bit  0CH
	       KOGANEI  :    16MHz 1bit 16CH         0MHz 0bit  0CH

	 Enter data directory for X station (KASHIM11)
	  ---> ./              <== set data directory for X station
	 Enter data directory for Y station (KOGANEI)
	  ---> ./              <== set data directory for Y station
	 Data directory for X station (KASHIM11) : ./
	 Data directory for Y station (KOGANEI) : ./
	 Frequency group and frequencies
	  Gr# 1 :   7864.99MHz U  7874.99MHz U  7884.99MHz U  8014.99MHz U
	  Gr# 2 :   8114.99MHz U  8244.99MHz U  8504.99MHz U  8544.99MHz U
	  Gr# 3 :   8564.99MHz U  8574.99MHz U  2214.99MHz U  2224.99MHz U
	  Gr# 4 :   2234.99MHz U  2264.99MHz U  2294.99MHz U  2304.99MHz U
	 Enter Frequency Group# (0 for all) ----> 0   <== select all frequencies
	 All frequency mode is selected!
	 Enter Clock Offset (sec) ----> 0
	 Enter Clock Rate (s/s)  -----> 0
	 Clock offset and rate : 0 0
	 Clock Epoch : 0/000 00:00:00
	 X Clock offset against UTC : 0.000000
	 Enter UT1-UTC (sec)   ----> 0
	 Enter Wobb X (arcsec) ----> 0
	 Enter Wobb Y (arcsec) ----> 0

	 ut1,wobbx,wobby : 0.000000 0.000000 0.000000

	 # of scans    ---  289
	 Enter Start Scan number ----> 1
	 Enter Stop  Scan number ----> 2
	 Scan range : 1 - 2

	   1 2015002020045    3C345              0              0              0

	 Apriori File  ( ../corrapri/ape0020001RG.txt ) created
	   2 2015002020520  3C454.3              0              0              0

	 Apriori File  ( ../corrapri/ape0020002RG.txt ) created

	 Total # of a-priori files created is 2

Edit an a-priori file by a text editor if necessary.

EXAMPLES (in case of VSSP format for X station and VDIF format Y station)

	$ apri_calc ..sked/ks15002.skd -formY VDIF  <== Y station data format is specified by "-formY" option to VDIF
	                                                X station is default format (VSSP)

	apri_calc (Ver. 2016-10-12)

	====================== RUN CONDITION ========================
	  K5 file naming type is  Type 1 : sidDDDNNNN.dat (SKED deflt)
	  Sub-net mode ON : PRT is set according to each scan length

	  Y station data format :   VDIF          <== display specified data format
	=============================================================

	**************** Schedule File Information ******************
	 File name     ---  ../src/ks15002.skd
	 File type     ---  SKED
	 Exp. code     ---  KS15002
	 # of stations ---  5
	                    G R Y B O
	 # of stars    ---  16
	 # of scans    ---  289
	 1st   Scan : 2015/01/02 02:00:00  3C345
	 Last  Scan : 2015/01/03 02:02:43  0059+581
	*************************************************************

	 ------ STATION ID TABLE --------
	  G --- KOGANEI
	  R --- KASHIM11
	  Y --- TATEYAMA
	  B --- MIURA
	  O --- KASHIM34
	 --------------------------------
	 Enter Station ID for X station ----> R
	 Enter Station ID for Y station ----> G
	 Selected Baseline is R-G
	 Sampling Information is as follows     (display sampling information)
	                  from schedule file          from operator
	      KASHIM11  :    16MHz 1bit 16CH         0MHz 0bit  0CH
	       KOGANEI  :    16MHz 1bit 16CH         0MHz 0bit  0CH

	 Enter data directory for X station (KASHIM11)
	  ---> ./              <== set data directory for X station
	 Enter data directory for Y station (KOGANEI)
	  ---> ./              <== set data directory for Y station
	 Data directory for X station (KASHIM11) : ./
	 Data directory for Y station (KOGANEI) : ./
	 Frequency group and frequencies
	  Gr# 1 :   7864.99MHz U  7874.99MHz U  7884.99MHz U  8014.99MHz U
	  Gr# 2 :   8114.99MHz U  8244.99MHz U  8504.99MHz U  8544.99MHz U
	  Gr# 3 :   8564.99MHz U  8574.99MHz U  2214.99MHz U  2224.99MHz U
	  Gr# 4 :   2234.99MHz U  2264.99MHz U  2294.99MHz U  2304.99MHz U
	 Enter Frequency Group# ----> 1     <== select one of groups
	 All frequency mode is selected!
	 Enter Clock Offset (sec) ----> 0
	 Enter Clock Rate (s/s)  -----> 0
	 Clock offset and rate : 0 0
	 Clock Epoch : 0/000 00:00:00
	 X Clock offset against UTC : 0.000000
	 Enter UT1-UTC (sec)   ----> 0
	 Enter Wobb X (arcsec) ----> 0
	 Enter Wobb Y (arcsec) ----> 0

	 ut1,wobbx,wobby : 0.000000 0.000000 0.000000

	 # of scans    ---  289
	 Enter Start Scan number ----> 1
	 Enter Stop  Scan number ----> 2
	 Scan range : 1 - 2

	   1 2015002020045    3C345              0              0              0

	 Apriori File  ( ../corrapri/ape0020001RG.txt ) created
	   2 2015002020520  3C454.3              0              0              0

	 Apriori File  ( ../corrapri/ape0020002RG.txt ) created

	 Total # of a-priori files created is 2

Edit an a-priori file by a text editor if necessary.

EXAMPLES (in case of VDIF format for X and Y stations, but single-CH/thread data for Y station)

	$ apri_calc ../sked/q19311.skd -apedir ../work -formX VDIF 16M2B8C -formY VDIF 16M2B1C -threadY MULTI

	apri_calc (Ver. 2019-12-03)

	====================== RUN CONDITION ========================
	  K5 file naming type is  Type 1 : sidDDDNNNN.dat (SKED deflt)
	  Sub-net mode ON : PRT is set according to each scan length
	  X station data format :   VDIF
	  Y station data format :   VDIF
	  Output directory : ../work
	=============================================================

	**************** Schedule File Information ******************
	 File name     ---  ../sked/q19311.skd
	 File type     ---  SKED
	 Exp. code     ---  Q19311
	 # of stations ---  2
	                    M V
	 # of stars    ---  88
	 # of scans    ---  28
	 1st   Scan : 2019/11/07 10:00:00  2229+695
	 Last  Scan : 2019/11/07 10:59:15  0805+410
	*************************************************************

	 ------ STATION ID TABLE --------
	  M --- MK-VLBA
	  V --- WETTZELL
	 --------------------------------
	 Enter Station ID for X station ----> M
	 Enter Station ID for Y station ----> V
	 Selected Baseline is M-V
	 Sampling Information is as follows
	                  from schedule file          from operator
	       MK-VLBA  :    16MHz 2bit  8CH        16MHz 2bit  8CH
	      WETTZELL  :    16MHz 2bit  8CH        16MHz 2bit  1CH

	 Enter data directory for X station (MK-VLBA)
	  ---> ./
	 Enter data directory for Y station (WETTZELL)
	  ---> ./
	 Data directory for X station (MK-VLBA) : ./
	 Data directory for Y station (WETTZELL) : ./
	 Frequency group, frequency, sideband, polarization based on MK-VLBA are
	  Gr#  1 :     8365.75 MHz U      8445.75 MHz U      8805.75 MHz U      8925.75 MHz U
	  Gr#  2 :     2232.75 MHz U      2262.75 MHz U      2372.75 MHz U      2392.75 MHz U
	 Select Frequency Group#(s) (e.g. 1 [2 3 4 ...]) or 0 for all ----> 0
	 All frequency mode is selected!
	 Enter Clock Offset (sec) ----> 0
	 Enter Clock Rate (s/s)  -----> 0
	 Clock offset and rate : 0 0
	 Clock Epoch : 0/000 00:00:00
	 X Clock offset against UTC : 0
	 Enter UT1-UTC (sec)   ----> 0
	 Enter Wobb X (arcsec) ----> 0
	 Enter Wobb Y (arcsec) ----> 0

	 ut1,wobbx,wobby : 0.000000 0.000000 0.000000

	 # of scans    ---  28
	 Enter Start Scan number ----> 1
	 Enter Stop  Scan number ----> 1
	 Scan range : 1 - 1

	   1 2019311100020 2229+695              0              0              0

	 Apriori File  ( ../work/ape3110001MV.txt ) created

	 Total # of a-priori files created is 1

A-priori file created is as follows.

	** This is Apriori file made by apri_calc Ver. 2019-12-03
	**     for cor, cor_all, fx_cor, and fx_cor_all
	**
	** (X clock offset wrt UTC is not reflected to a-priori values)
	**
	** SUBNET ON:  PRT is set according to each scan length
	**
	** Clock parameters at run are as follows, 
	**   Clock Offset (s) : 0.000000
	**   Clock Rate (s/s) : 0.000000
	**   Clock Epoch      :     0000/000 00:00:00
	**
	**

	$EXPCODE
	Q19311

	$OBS_NUMBER
	1

	$STATION1
	MK-VLBA ./M3110001

	$FORMAT1
	VDIF 16MHz 8CH 2bit

	$XYZ-STATION1
	-5464074.952510 -2495249.107380 2148296.843470 

	$STATION2
	WETTZELL ./V3110001

	$FORMAT2
	VDIF 16MHz 1CH 2bit               <= Note that # of CHs should be 1 because of single-CH/thread data!

	$XYZ-STATION2
	4075539.899410 931735.270250 4801629.351850 

	$BASEID
	MV

	$FRQ_GRP(1-2)
	0

	$FREQUENCY
	8365750000.0 U  1  1 -- (0-0)      <== inside (  ) shows thread#s for X and Y data
	8445750000.0 U  2  2 -- (0-1)
	8805750000.0 U  3  3 -- (0-2)
	8925750000.0 U  4  4 -- (0-3)
	2232750000.0 U  5  5 -- (0-4)
	2262750000.0 U  6  6 -- (0-5)
	2372750000.0 U  7  7 -- (0-6)
	2392750000.0 U  8  8 -- (0-7)

	$PCAL_FREQ
	10000.0 
	10000.0 
	10000.0 
	10000.0 
	10000.0 
	10000.0 
	10000.0 
	10000.0 

	$CLOCK
	OFST= 0.000000
	RATE= 0.000000
	XCOF= 0.000000

	$SOURCE
	2229+695

	$RA
	22 30 36.46970500

	$DEC
	69 46 28.07690000

	$EPOCH
	2000.0

	$GHA
	14 34 58.530000

	$EOP
	UT1-UTC= 0.000000
	X_WOBB = 0.000000
	Y_WOBB = 0.000000

	$START
	2019311100000

	$STOP
	2019311100040

	$APRIORI
	PRT=2019311100020
	TAU0=  -2.210227274619678e-03
	TAU1=  -7.220902109727506e-07
	TAU2=  -3.243827760964927e-11
	TAU3=   3.811317364141309e-15

	$END


Updated on June 12, 2020