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AFRPL-TR-79-91
FOURIER TRANSFORM INFRARED SPECTROSCOPY
4 ( VOLdME II - USER'S MANUAL
SPREPARED BY.
W. W., SCHWARZ0. C. SMITHTHIOKOL CORPORATION/HUNTSVILLE DIVISIONhUNTSVILLE, ALABAMA
DECEMBER 1979
Approved for Public Release, Distribution Unlimited 0 •
FINAL REPORT
5' • : PREPARED FOR-R
AIR FORCE ROCKET PROPULSION LABORATORYDIRECTOR OF SCIENCE AND TECHNOLOGY
.. j AIR FORCE SYSTEMS COMMANDS EDWARDS AIR FORCE BASE, CA 93523
V 80
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SECU RII2,tt'kSS.I CATI.ON OF THIS PAGE (Whn Datao f.t.r.*
READ DiSTRUCTIONSREPOT DCUMNTATON AGEBEFORE COMPFLETING FORM
'IRE001116 MBER ; ' 2. GOVT ACCESSION NO. CIPIENT'S CATALOG NUMBER
IAFRPLffTR-79-91tI-~~~ ________-ea.ru6•lf.) PE & PERIOD COVERED
& Fourier Transform Infrared Spectroscopy A r 7(FTIS)v f•a l"4Wport A 7-De-9 EVolume •eUser's Manuale U-- :
L T. ! UAu T CO R ( s) C ON.
I I . . .-
: . W. A_/Schwarz pnd 611 .....-78-C-0.7'11O. C./Smith
9. PERFORMING ORGANIZATION NAME AND ADDRESS 10. PROGRAM ELEMENT, PROJECT, TASK
Thiokol Corporation E & WORK UNIT NM "_ -Huntsville Division "I IHuntsville, AL 35807 5731h 3 LAI I. CONTROLLING OFFICE NAME AND ADDRESS 12. REPORT-
Air Force Rocket Propulsion Laboratory/ Dec791Edwards Air Force Base, CA 93523 2"2' 22_PAGES
14 MONITORING AGENCY NAME & ADDRESS(If different ftom Controlling Office) 15. SECURITY CfLASS. (of d i rport)
Unclassified
IS*. DECLASSIFICATION/DOWNGRADINGSCHEDULE
16. DISTRIBUTION STATEMENT (of this Report)
Approved for Public Release. Distribution Unlimited.
17 DISTRIBUTION STATEMENT (oi Ohe abetract entered In Block 20, II different from Report)
18 SUPPLEMENTARY NOTES
19. KEY WORDS (Continue on reveree side If neceasaay and Identify by block number)
Four-;--- transform, infrared spectroscopy, solid rocket p:opellants,propellant aging, sample preparation, attenuated total reflectance,infrared measurement, computerized data reducticn, physicalpro-perty prediction, FTS-10 spectrophotometer, storage stability
N FORTRAN computer code.20- ABSTRACT (rCwttfs ae wren w Ift nr•m W di l0Ea•l DT block mambwe)
-'This is the final reports eortv..* to establish the relation-ship between infrared spectra and propellant aging and to determinethe applicability of this relationship to the prediction ot servicelife of propellants. ' . .•4j
Lquipment for measurement of infrared spectra by both attenuatedtotal reflectance and through tiansmission was identified, and pro-cedures for sample preparation and testing were developed anddemonstrated,
ADO 1473 EnON Of I O NOV6SIS OBSOLETE Unclassified
SECURITY CLASSIFICATION OF THIS PAGE (Whon Daet Entered)
4•/ / /
UnclassifiedSECURITY CLASSIFIC-TION OF THIS PAGE(Wftm Data Entod)
The major accomplishments of this project are the establishmentof methods for pred'icting propellant tensile properties frominfrared spectral data during storage and the development ofprocedures and computer programs for rapidly and economicallyprogressing large amount- of infrared data. The results of thisproject are a major step toward predicting the remaining shelflife of solid propellant rocket motors from infrared measurementsusing small amounts of propellant associated with them.Recommendations for application of these results and :or im-proving and extending the developed methods are included in the
-• report.
•-::This document (Volume II - User's Manual) describes the twocomputer programs E410 and E490 that were developed in order toreduce and statistically analyze the infrared spectral data. Theversion of these two codes described herein was made operational onthe CDC 6600 computer at the Air Force Rocket PropulsionLaboratory. With minor modifications to these two FORTRAN codesthemselves, along with the appropriate job control language, DothE410 and E490 can also be made operational on an IBM 360/370computer system.
UnclassifiedSECURITY CLASSIFICATION OF THIS PAGE(ften Does Enfered)
TABLE OF CONTENTS
Page
1.0 ABSTRACT 2
2.0 OVERVIEW OF THE FTIS COMPUTER PROGRAMS 32.1 ORGANIZATICN OF THE E410 AND E490 COMPUTER CODES 4
3.0 E490 - COMPUTER PROGRAM DESCRIPTION 53.0.1 MAIN PROGRAM - E490MAIN 53.0.2 SUBROUTINE APCALC 7
3.0.3 SUBROUTINE BASELN 83.0.4 SUBROUTINE COBASE 113.0.5 SUBROUTINE PKTABL 123.0.6 SUBROUTINE PLWAVE 163.0.7 SUBROUTINE REGRES 17
4.0 E490 - INPUT INSTRUCTIONS 184.1 JOB CONthOL LANGUAGE FOR CDC SYSTEMS 22
5.0 E490 - SAMPLE CASE 26
6.0 E410 - COMPUTER PROGRAM DESCRIPTION 89
7.0 E410 - INPUT INSTRUCTIONS 907.0.1 CREATE MODE 907.0.2 UPDATE MODE 91
8.0 E410 - SAMPLE CASE 93
APPENDIX A - FORTRAN SOURCE LISTINGS 96
A:rENDIX B - PROGRAM FLOWCHARTS 146
1.0 ABSTRACT
In recent years, data have been obtained which show
that changes in the chemical structure of the binder of a
propellant can be correlated with changes in the mechanical
properties of the propellant. It has also been demonstrated
that these changes to the chemical structure of the binder
can be detected using infrared spectroscopy. Therefore, the
changes in the infrared absorption characteristics of the
binder are directly related to changes in the chemical struc-
ture and, hence, to changes in mechanical properties of the
propellant. The computer programs described in this manual
were developed to demonstrate the feasibility of using Fourier
transform infrared spectroscopy as a non-destructive tool to
relate changes in binder structure to changes in mechanical
properties of the propellant and eventually to use thet
correlation to predict the remaining service life of the
propellant.
2
2.0 OVERVIEW OF THE FTIS COMPUTER PROGRAMS
The Fourier Transform infrared Spectroscopy (FTIS)
computer codes described in this manual,iuere written in
FORTRAN IV - H EXTENDED for use on either CDC bOOO series or
IBM 360/370 series digital computers. The primary purposes
of these codes are to reduce infrared spectral data stored
on a Digilab FTS-10 tape and correlate this spectral informa-
tion with changes in propellant physical properties.
In order to accomplish this qoal, the necessary tqo
codes are:
I. E490 - Performs the Infrared data reduction andstatistical analysis.
II. EAl0 - Generates a master file for MechanicalProperty data.
3
2.1 ORGANIZATION OF THE E410 A'00 E490 COMPUTER CODES
The illustration below represents a functlcnal flowchart
for both the E410 and E490 programs.
E490:
Logical Seqilence in w'nichSubroutine, are called byE490MAIN.
E4 90MKA IN
, ,. I LF* (('!)C Version Only).
X pXRIAV,- (CDC Version Only).
- PUWAVE (If input variableIPLOT = 1).
SAPCALC
SPTWAVE (If input variableNMPLOT = I)
- * I BASELN
10 COBASE (If input 1 ariable
MULTPK X 0)
SPKTABL
REGRES (if input variableC END 14PDISK 1)
I E410:
40 E410 MAIN
-. RENAME (If updating oraccessing an existing
END properties file).
*Please see description ofE490MAIN (3.0.1).I4
3.0 E490 - COMPUTER PROGRAM DESCRIPTION
The following are general descriptions of both the
main program plus the six (6) su:broutines that comprise
the E490 computer code.
3.0.1 MAIN PROGRAM - E490MAIN
The MAIN program controls the flow of calculations
for this FTIS spectral aialisis utilizing both the NAME-
LIST input supplied by the user and a direct linkage
to the si-, subroutines. Other key operations performed
by E490MAIN are described below:
a). Printing of the input variables suppliedby the NAMELIST called /FILES/.
b). Reads the Digilab FTS-10 data tape.An FTS tape file consists of two physicalrecords.. .a header remarks record and aspectral data record. From the headerrecord, the following v~riables are read:
SIFILF) - The file number.TUWORDS() - File size in data words.NSPR - Sin'jle / doible precision designato.I NEXP - Exponent of two; (used to compute FTIS
amplitude values)IIl - Wave number (frequency) of the first
point. (Integer portion;'.112 - Numeratcr of the decimal fraction for IMl.113 - Wave number of the last point.
(Integer portion).114 - Numerator of the deciral fraction for 113.
The spectral data record contains the raw spectraldata in binary integer form.
5
NOTE: Because of the internal difierencesbetween IBM and CDC cit.,nuter systems, thecurrent method for reading this FTS-10 tapeon the Air Force /RPL CDC 6600 computer isdifferent. On the CDC system, E490MAIN callstwo additional subroutines: XFILE and XREAD.
XFILE : Called at the beginning of E490MAIN,XFILE reads the entire FTS-10 inputtape end copies it to a temporary file.
XREAD : By accessing the temporary file gen-erated by XFILE, this routine willread a record from an FTS file.
c). Calculation of the wave number (WAVENO(i))and amplitude (AMPLTD(i)) for each spectraldata point i within a tile.
d). Tabulation of these wave numbers and amplitudes.
e). Normalization of these amplittudes, utilizinginformation computed in subroutine APCALC.
f). TaDulation of the'e normalized amplitudes and
their corresponding wave numbers.
+L
3.0.2 SUBROUTINE APCALC
This subroutine calculates variables necessary for the
normalization of the amplitude values (AMPLTD(i)) in all
spectral files. The normalization of the array AMPLTD(i)
is computed relative to the peak with the maximum amplitude
nearest WAVNOR, a wave number value input by the user. For
each individual FTIS file, the following normalization para-
meters are computed in APCALC then returned to the E490MAIN
routine:
Variable Name Definition
a) APMAX Maximum amplitude nearest WAVNOR.
b) WE Wave number at APMAX.
c) D2 Calculated amplitude at WE along thebaseline of the peak.
d) AP2 Height of the peak located at WE.
7
3.0.3 SUBROUTINE BASELN
Subroutine BASELN searches for and records up to a
maximum of fifty t50) peak heights within each individual
spectrum. Due to the physical model of this project, the
search for peaks is done only over certain wave number
intervals, which are defined below:
I. 3200. Wave Numbers - 2700.
II. 1800. Wave Numbers - 700.
NOTE: For files with a last Wave Number greater than 700.,the search will end at that final wave number.
Key Variables Used in BASELN:
DIFF(IF) For the IF-th file,
(Maximum normalized amplitude value) -
(Minimum normalized amplitude value).
VALUE Equal to the input variable VALID.(The "validity" factor).
FIGURE 1 - Example of Baseline Computations.
(IP)
AB (P1
-IPK
WAVENO(IPK)
340.00 320.00 3A0.00 280.00 260.00
8
I
Key Parameters Cal-ulated by BASELN:
By referencirg Figure 1, the following parameters are
calculated in order to describe each individual spectral peak.
Variable Name(s) Definition
1) A and B (Amplitude at the apez of the peak)
MINUS
(Amplitude at the minimum point(s) onthe peak).
2) IP The IP-th peak in the spectrux, readingfrom left to right.
3) AB(IP) The baseline amplitude at wave numberWAVENO(IPK).
4) HT(IP) The actual peak height for the IP-thpeak in the spectrum.
(Amplitude at the apex) - AB(IP).
5) IDWORD(IDK) = 0 : No peak at data word IPK.S= 1 : Invalid peak at data word IPK.= 2 : Valid peak at data word IPK.
= 3 : Invalid peak at data word IPK,measured by the COBASE subroutine.
= 4 : Valid peak at data word IPK,measured by the COBASE subroutine.
The measurement of peak "validity" is a technique utilized
to try to eliminate random 'noise' within an FTIS spectrum.
A9
I.
The method for determining the "validity" of a peak is as
folJ ows:
a) Calcul.ate the values for A and B.
bi From tlese two values, determine which variable has
the ffaximum value, then set it equal to C.
c) Multiply DIFF(IF) by VALUE: set product equal to D22.
d) If C is greater than D22, then the peak at this wavenumber (WAVENO(IPK))is a valid peak.
10
L
3.0.4 SUBr' - " B:N;T x 7
a ir, optioi,- subroutine, COBASE will only
be execute' wLIen the input -vart -le MULTPK is greater
than zero and less than seven. By utilizing the same
general techniques described in subroutine BASELN,
the logic in this routine will establish a "common"
baseline for adjacent spectral peaks.
For example, to establish the "common" baseline
for the n-th set of adjacent peaks, the COBASE algorithm
first searches for NPHOTO(n), the file that contains
the optimum picture (or example) of these adjoining
peaks. After calculating this new "common" baseline,
the data words locating the newly measured peak heights
in this file also become the reference locations from
which to measure this "common" baselines' peak heights
in all the other FTIS files,
It should be noted that the maximum allowable
number of peaks per "common" baseline area is twenty-
five (25).
ii
3.0.5 SUBROUTINE PKTABL
PKTABL is an output subroutine that generates two dif-
ferent types of tabulations listing FTIS peak height informa-
tion. The first type of tabulation, as illustrated by Figure
2 , is a "Normalized Peak Height Information" listing that
is printed for every FTIS file analyzed As illustrated in
Figure 3 , the second tabulation entitled "Peak Height Tabula-
tion for all the Files" is strictly a listing, referenced by
tbh Data Word location, of all the peak heights found in
all the FTIS files examined.
A check is also made to determine whether the mechanical
property correlation subroutine REGRES will be called. If so,
then all the peak height values that are simultaneously
located at the same Data Word location and valid in every
FTIS file examined, will be stored on a temporary disk file
(File 27) for use as input to the REGRES subroutine.
12
FIGURE 2
4 C.cc4 C 410' V .U
14f"', F
U. II W
N N 4 f- I
:I I. m' 0 't UW 'C U' '4 0. 1.- 0 " U '' - 9" C ' 0 '- '\
KC 4w F. fl. - m 4' m ry C ~ PU' 9" 0- N .4 -r 4 9- rN c
X WI 0'~ 0 9 ' Q rn C' N P t 't 9 60 0 P ' '4 0 0 C
A 0, C c N C, t
U' C
C.. I- 0 0N 0' a t- P.- I It cc 9" N I' 0 0 4 ' ' 4 ' 'mI 1 9 ' N 0' Nl m' N m9 N. m4 9 ~ 9~4 9' 0 - ~ U
-l C 4 N C N 5 9 C 0 f- It 4' N. P- .0 4 C- C' C f
L/) 1 1 C 0 - 3' 4 0' co C w 'D' O. 4 't 0' N - u' C 4 5-
C' w 1' 9 0 N '.0 Nr Ný 9" o - N 0' & - 'n0 4 9 4 C C '.
a.. -, Cr M' I' ' - ND 0. 'D 0n U' 0' ' 0' 0' N 0
0.~r -/ -IS - -N -4 - ' - -
-a'. 4 0.
cc C'
a 0. 9'- N fn 0, a'" C N U 0 4' N N C C ''C - ' U C C 'C ' 0 U' 9 N 0 'C N U "
13S
FIGURE 3
*~~~~~~~~~~ .. ,c 0 c 0 c 0 o oe7 Ce c c - 'c
* - I c 0 * . c 0 0 0 c * c c c ( I * . C, c c r) c * ý e:
I c. 0 C! 10 oý o 0, C- oý C; C C C! C C,
N i I0 t CN ; C! C . C. C
C - C, 0 0
*r U, C 0 Cn c CD C- N ' C C C C C
N U I C C 0 C ' C C7 C; 8 C! C, C' C C C
N In
Ný p In
OD rn Ln 0n 00 0 0 0 Cn Cc w P. C C C C 0~ C0N N r
N L In0 8 IC , 0o C
42m41 c
4114
FIGURE 3 ~-~
*0 c
* I c
ftLL~ M
ft"IftPft r
fttat 0
ft4 - I.-* S
6M P. f" 00 0 0 0ft
UNtft L
ft U. I 0.
Co w IA-a J0c 0 j
- I * S 15
3.0.6 SUBROUTINE PLWAVE
When requested by the user, this routine plots the
Wave Number versus Amplitude values for the individual FTIS
spectral files. Depending upon the value of the input
variables IPLOT and NMPLOT, the option is available for
plotting eitner "Non-Normalized" or "Normalized" Amplitude
data values or if so requested, both types of spectral plots.
16
I
3.0.7 SUBROUTINL REGRES
Subroutine REGRES is also an option that, when requested,
(input variable MPDISK = 1) will determine whether there are
any correlations between FTIS spectral data and corresponding
propellant mechanical properties tabulated by the E410 computer
program.
The primary logic in REGRES provides a multiple linear
regression model that defines as its independent variables
the set of "valid" peak heights written on File 27 by subroutine
PKTABL. Regarding the dependent variable(s), they are
determined by the input variable NPHYSP(k) , the array that
specifically defines what mechanical properties the user
wishes to examine.
For each dependent variable, a multiple correlation
coefficient (RMULT) is computed. For any dependent variable
where RMULT !.750, a non-linear regression attempt is made
using that single dependent variable and those independent
f variables with non-zero linear regression coefficients. At
the end of this attempt, a test is made comparing its multiple
correlation coefficient with the linear one, thereby,
determining the best "curve fit" for tnis particular dependent
variable (or mechanical property,.
17
4.0 E490 INPUT INSTRUCTIONS
Input variables for E490 are contained in a single
NAMELIST called /FILES/. By using NAMELEST, a free form
input is avaiiable requiring only that the first column
on each input card be blank.
The following table, TABLE 1, presents - complete
listing and descriptirn cf the variables necessary to
execute the E490 computeL program.
18
Lo
E- 4-).
-H 0 r
0ý 0 0 4';4 00 (v E-C1 ll
04 CUq m
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19
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(Z U)2 U) J-0 rd 41 U - (o2 Q) D3
-H 1` ).44 0) P 4-10) En M4.- .0(12() 2 P -4 w ro 1-m
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21
4.1 JOB CONTROL LANGUAGE FOR CDC SYSTEMS
The following are examples of the Job Control
Language needed to execute computer program E490 on
a CDC-6000 series computer.
OPTION ONE: RUN REQUESTING NO PLOTS AND NOSTATISTICAL CORRELATION.
SEQ, THAOI.THATIOONTIP4. LAYOURNAME*30ATTACHtLGOE490GO0 Oi=YUURNAMEMR=].REQUESTTAPEINTHDtSNOR!NGVSN=FTISTAPENAMEFILEITAPElt8T=,KRT=UR8=1,MBL=l257,MRL=125TCM=NOthNR=z4,MNB=24)
LrSET(FILES=TAPEI)I.IBRARYB TSL 1B.MAP, PART.LGO.
UNLOAD, T APE 1.
Card Columi, 1
22
OPTION TWO~: RUN REQUESTING PLOTS BUT NOSTATISTICAL CORRELATIONS.
SEQ,TH-AOI.THAT IGONII,P4. L4,YOURNAME,30ATTACH,LGO,E490G0,TO=YOURNAMEMR~l.RFQUEST,TAPEI,NT ,HD,S,,NORING,VSN=FTISTAPENAME.FILFI TAPFI,BT=K,RT=I,R1=,MBL=1257,'RLl1257,CM-Nn,MNR=24,MNB=?'t)LDcET(FILFS~=TAPF1)LI PRARY,B31T8LI B.P4AP,PART.L GO -UNLOAD, TAPE 1.RE WINU ,TA PER.REQUFST,PtOT,HD,PINGVSN=PLOT. YfjURNt,%MECOPYBF, TAPE8,PLOT.RE TURN, PLOT.
23
O)PTION THREE: RIM REQUFSTING STATtSTICALCORRELATIONS BUT NO PLOTS.
SFQ, THAQI.THATIQONTI,P4. LA,YOURNAMEv30ATTAC-H,LGO,E490G0, IO=YEURiAMEMR=1.ATTI'CHTAPElo,MECHPPflPFILE, !D=YOUPNAMEMR=1.RE:i)ESTTAPE1, 1T,HOSNORINGVSN=FTISTAPENAME.FILFiTAPEITKR=LB1MB=27M 19#M=~MRZ9N=4LOSET(FIIES=TAPEl)Ll8RARY,BIT8LIB.MAP, PART.I GO.UNLOAO, APE 1.
24
QIPTION FOUR: RUN RFOUFSTI"',' PfLITS ANDSTATISTICAL COPRELATIaNs.
SFQ, THAQI.THA,Tl00,NTl,P4. LA,YOURNAMF,30ATTACH, LGO,E490G0I, D=yf1URNAME,MR=I.£ATTACHtTAPF1O,wa-CHPP9PFILF,ID=YOURNAMFMR=1.REQUEST,TAPF1,*NT,HD,S,NORING,VSN=FTISTAPENAME.FILEj TAPE1,RT=K,RT=J,rPR=1,MBL=l257,MRL=1257,CN4=NC,MNR=24,MNB=24)LfOSET (ElLES=TAPEL)LIBRARY, 8IT8LlfB.MAP, PAR 1.LGO.UNLOAD. TAPE 1.REWINO,TAPE8.REQUESTvPL0T,HD,RING,VSZN=PLOT. YOURNA4E%-0PY8F,TAPr8,PL0T.RETURN, PLOT.
25
5.0 E490 -SAMPLE CASE
The card deck shown in Figure 4 is the Job Control Language and
input data that generated the sample case illustrated in Table 2.
F490 SAMPLF ýA~SF
S[Q, THAO1.THA,TIOO,NTI ,P4. L-A, SATHP,3cATTACH,LGO,P4t )0o,n I)S'4ITH(),MiR=1.
REQUFSTTAPE1,.NT,H-V,S,NflOPINST,VSi*,=TAPF25.
LIOSET(F[LES=TAPEI)LIBRARY,RI r8LTR.MAP, P' T.L GO.UNLOA , TAPF j.SFILFSITAPE=ITP?51,I TOTA1=4,I?11JF IL F=16,20, 24, 2 P,MULTPK~1,NP HOT0= 24,
11 P41Tz 3030.,
MPP FCS=17 ,21:2 5v ,
FIGURE 4. E490 SAMPLE CASE
26
000 cOO
000 c00
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6.0 E410 - COMPUTER PROGRAM DESCRIPTION
E410 is designed to create and maintain a permanent
file for solid propellant mechanical properties. Once
established, this file will be utilized for optional input
to the E490 computer program.
This FORTRAN code consists of two parts, a main and a
subroutine called RENAME. The main program creates the initial
file and prints out data contained in the file. RENAME is
designed strictly for updatincl or accessing an existing
propellant file.
89
7.0 E410 - INPUT INSTRUCTIONS
E410 is always executed utilizilg one of two possible
run modes; the CREATE mode for building a new propellant file
or the UPDATE mode designed to update or access an existing
file.
7.0.1 CREATE MODE
The first card in the input deck must have CREATE in the
first six columns. This tells the computer to stay in the
main program.
The second cazd is the title of the chart that is printed
when the data set is established. The title can be 40 alpha-
numeric characters long. It is read in on a l0A4 format.
The next sequence of three cards is repeated for each
set of data. The first 15 columns on data card type 1 are
ignored. Any comments with alphanumeric data can be placed
here. The next five columns are allocated to the specimens
age and the next two sets of ten columns are allocated for
the aging temperature and test temperature respectively. This
card is read with an (A8,7X,I5•.2IlO) format.
Data cards 2 & 3 are used to input the values for modulus,
strain at break, strain at maximum stress, maximum stress, strain
energy density and strain endurance respectively. Ten columns
are allocated for each of these plus four extra variables that
can be allocated later. Five variables are read from each of
90
Uthese cards. Only the first 50 columns are read on each. All
five fields are end to end. The format is (5(F10.3)) for both
cards.
7.0.2 UPDATE MODJE
In this mode, the fitst card in the input deck must have
UPDATE in the first six columns. Also, tht tJtle card is
eliminated and the first of the three data cards is changed.
Data card 1 in this mode should contain the action to be
performed in the first 8 columns, skip the next two columns,
and have the line number that the action is to be performed
on in the next five columns. These two new inputs replace the
•olumns ignored on the first data card in the CREATE mode.
The remainder of this card and the two following data cards
are the same as in the CREATE mode.
All actions should be nested together by type, and these
groups then input ONLY in the following sequence;
1. All CHANGE cards.2. All ADD cards.3. All DELETE cards.
If there are no CHANGE cards in the input, then the proper
input sequence should be all the ADD cards first, then any
DELETE cards next. This correct sequencing of the input
cards is mandatory in order to maintain the integrity of the
existing properties file. Care shoull also be taken to put
Lhe proper data cards after the CHANGE and ADD action cards;
the other ,ctict cards do not require any data other than the
aczton and line number. All strings of actions need to be
followed by either ENDLIST or ENDNOLST.
91
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(dr( Hr W*: r 0 -H41 r$ 4J a) HU) (TiJO a) £E'W-Q ) .4 a)
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92 Q
8.0 E410 - SAMPLE CASE
The card deck shown in Figure 5 is the CDC Job Coitrol Languageand input data that was used to create the propellant properties file
listed in Table 4.
Card Column 1 r410 SAMtLr CASF
SFQ, THAOI.THATIOO,P4. I #,S41THCs,3r)ATTACHLGO•,4
1 0 GO, rfl=SMITHOmQ=t.MAP,PART.PRrUJFST, TA0Fq, *4PF.
rATAt 00,rTA Pf3, TPHPi56VA ,IP. " sM!•THnRP=.qq
CRFATFTFKT C.ASF---- SFPT. 27, 1970.ADO 1) 77 77
1119.0 0.0 ?4.00 165.4 0.00.0 9.0 0.0 0.0 0.0ADO 2 190 7'0843.0 0.0 71.00 126.7 0.00.! 9.0 1.0 0.0 0.0Af)D 7 170 77
77. 0. 22.6 121.2 0.00.( 1.0 n.0 0.0 0.02 150 77349.0 0.on 71.00 116.1 0.0.0. 0 0 0.0 0. r,ArD) 2 111 77TT7.0 0.3 1 3.3 117.8 0.00.0 0.0 9.0 0.0 0.0
A11n ? 0 77032.0 1.0 24.1 144.9 0.00.0 0.0 O.C 0.0 0.0
2 79 771171.0 11- )1.3 151.8 0.00.0 3.0 0.O 0.0 0.0Ann 4 190 77142A. n.O 15.1I 1,35.2 0.00.0 0.0 0.0 0.0 1.0Arnn 4 170 771041 .1 1.0 15.] 134.0 0.00.0 0.0 0.0 0.0 0.0
Figure 5- E410 - SAMPLE CASE 93
AnD 4 13rn 7776T.9 0.0 -- ,7 170.3r, 0.0
0 n.0 n. o 0.0Anr) 4 1if) 77
7 Q7 1)' n. n 2-2. q I -P 2, *- 0.0
' 01?. 0r n. 1 0.0 0.0I D 4 1t1 77
13I ?. n.O r)4."Q I rO 2 0.0
O.( O.0 0.1') I,.0 0.0A'0 r 4 75 77
IIQ7. ,,7n•4. 1 1 3 .4 0.(0
A'.')0. } 0.0 0.O ).Ann q lQO 77
0.0 0.0 0.0
1190 0.0 0..0 0.0A )D I -?n 77
101 n. ; 10: 1 149.,% 0.000 OO rO0, O.(
AlD 15 11) 7799)4. 0.0 1 ;. n 12?. 1. 30
O.n 9.0 1.0 0.0 0.0n') F '1 ) 77
;)1. 7 ?l.o 3.t0.() 9.9 o.0 0.1 0.0A F)•Il -
I ,," . "I . 0? 1. !4,6. 0 1.00.0 0.O 11). V~ .
Ar)'D 75 770o5. 0.0 ?9. 5 1,.7 n.0f) 9.0 .) 0.1) 1 .f)
An9 1• n 77"-A 4 9t,, A. . .•: ) .c
0.0 0.0 0,0 O.n 3.0. I r)13 l1" 77
I 7PP.) /N9.,9 I . l)O'.
9.9 9.0 0.9 0.n 0.0AnD 1 O 77
1)17. 2~9 jO*4 0.()0.') 9.' 0 .'• 0.0 0. 0
A')') 12 1 ]' 7 T
0. .0 0 r%* 0.
A" 110 77O ".3n.0 I •]'•fo O.n
O.,3). ri q., n 0.0
Ann 13 79 77
Figure 5: E410 - SAMPLE CASE (Cont.)
94
c c' c- c c' e c ' ' C C C C c
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4O 33 I'- I I M C. J', r t r jr
LL C 0 C C C C C C C C C;
0 .. cuvt c 0 C C' 0 0 C 0 0 4L c T 0 s. C ' C C C. C C
U, a if =5 3 zZ3 v- cr Z3IL
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-~ N.
IL 43 t 3 0 C C C C C 0 C ~ .~C C C C C C C C C
)~i~~'1V 3C 0 C 0 0 0 C C'C C C C C C C C95c
APPENDIX A
FORRANSOURCE LISTINGS
9p
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WRITF (N2,750) 000010"
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IF (NPHYýP(tSI).FQ0.n) GO T0 2R OOin1'
TIV' - NPHIYSP(1,11) 00001 1'i
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All'~I AD( Al ClAwPl Tr,.wDVE4n,WAVNI1R,LtnCfJAX,AN4,WpllAPz22 0000? 1
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f*.... fOPRAT rTATFj~MrNI. 3)0001 PC 0000371
715 f ik4ATjA2,6/,v3A?,',L~4A?l 00003721,0 Ft0QMAT(jt5X,wNUMBFR nF CommOn MASELIMF AREAS SPECIFIED~ 0.01 0000373vy'i Vr~m~ Prftx.wNIjMRrR OF cOMMON RASFLINE AREAS SPECIFIED *,Il,W."0000374
L) 000037's;.Tl3' ~' lATll0X,"APFA "o Ito IS REST PICTUJREDI3N FILE *,12,"n :uqfq101,"
ltrFf ~i M 1 STIMATE - 0,lF7.2,/I,0X*"ltIGHT LIMIT ESTIM4ATE - "of7?IZ!'A-* r- 14ATf'iKr),"41 STATISTICAL rflRRELATTOtN WITH PHYSICAL PROPERTIES W13010,478
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vr-wQf*ATfiX,wRASFtINF A4PLITUDF AT (WMNAX) = S,11.,A1 00 003Q'fccFRriAft7RIXqwPFAK HEIGHT AT IWNMAkX) 14,5,E5..X~ 00O396
104
111#0 tfrRMAT(lHl,4X,"FT1s FIIF NUMBER ",13,2OX9ANON-N"fMALI7F0 fP1J'F.E S0000'.IPFCTRAI. nATAw/I9X,3(W0ATA-,8XUWAVEUSXP"ANPLITtjrE!WXII 00004?'iX, 3("WrRriw, 7X,wNUMIF~t~u24X)II 00004.
141 F0RhIATflH1.4XYwFTIS FILE NUMBER "r13v20XvwNORRALIZffD SPECTRAL 04TOO0041A"/f5X,31"DATAu9eX,"WAVv",eXvuANPLITs5E.sIOI/ 00004?9)X,31"WORn-, 7X,"NUMBER",,?4X)/I 00004
9"in FflRmAT(Tl(,WNfRMqALyZING FACTOR FOR THIS FILE = .*5Xv4fE15.?,5X)0 00004-47nl FO~RMAT(IHI,4X,uFr1UR FR TRANSFORM IWMFSRO SPFCTROSC8PY COMPUTER PRO0040'
lnGAM"'rN~wFq0- THIOKKOL CORP. / HUNT'SVILLE , ALABAA 35SOP"SXo0o00'.2,"INPIJT nESCRIPTYON "n//1 00()04
97? FflR'qAT(/SX,NNAmf OF FTIS INPUT TAPE WvA41 0000497 rr)R,4AT(/,;XTTfl~t NUiMRER OF FILES (THIS RIMWI ,11330w.) 00004qfO FlplR4AT(/5X,wLl-r OF FILFS To BE ANALYZFD W,10IfIvX),'36XqlOII3,900004
lXl/36X, 10113,SXI) 000049Rl FjRt4ATI/5X*WNOQI4Atl7ING3 WAVE NUMRER .OF6.1,U.UI 000014Q92 F04~1Xwn-0MLZ1 SPECTRAL PLOT HAS RFEN REQUESTED.") 0000418 F0RMATff5Xv"0NQMAtl1F9 SPFCTRAL PLOT HAS SEEN .KIOW&EDE.0) 000643A4 FllR'4ATt/5x,*4r) SPECTRAL PLOTS H4AVE SEEN REWOESTEID.) 00004qn FflRMAT(f5X,WvFAK HFIGHT VALIDITY ="9F4.l.' PER CENY.I 0010c
,r.YP 0 0000400004
105
A Jtt#(f'!l I ' A PC 14( (A MPI (DWAVEN0WAVhv*, -r,JAX,APM*AoXWEI 02 ItAP21
(I- WL CL.L( THE NORMALIZAfION A14PLtluxot VALUE (APNORIM)
(....-.~ORTME PEAK NEAREST W~AVE NUMBER (WAYNORI C*-I.
COIMMON /JUINPKf ALI,41t46),ZLIM4ITE63.M4FILEI6J.NoRtNCO;INum6EIpI I)IMENSiON AHPLTflI46R)9WAVENO(468),A125)(=0II A(Jil = O.EO
. ..... S.-,R;tl i-()R tilAXIMtiM AMPLITUDE NEAREST TO WVIWR.
T F 13 GO TO5
A P'14 I
ii 1(JJLI.'.'XIGO TOj 15APMAX) A'jj3
M4K
'f(K 1-1 SLI Ii- A OCOMM9ON SASEti J"~ IS Tos BE USED'-*TtfE NORM~titA~if)N AMPLITUDE.,
~;- (Nl'MI~It GO Iff 45
tlAi ;AiNM4IJJ POKYA; DINT BON tH SIDES OF AP14AX PEAK*
1,01- 402
3(, RIN A1PI 10105I
K = K41GO In 35
40 Bt4AX =ANPLTOMKKNAX = KGO TO 100
..................1 THE 1-rH DATA WORD IN THE SPECTRU14 FILE.
45 1 =0?OO 1=1+1
TIF WAVENOIII.GT.ALIMITIJAXIISO TO 200IS = I
210 IF (AMPITOII-13.GT.ANPLTD(III GO TO 220BMIN = AMPL-TD(I-llKI4IN = 1-11=1-1G~O TO 210
?20 1=15?30 If (WAVENO(I41).LF.ZLIMIT(JAX)lGO TO 240
101=1+1
?45 iF lAMPtTrWI,!Lr_;T.AMPLT9(IID GO TO 250
GO TO 245?O Ei MAX = AMPLT0UII
kM4AX =I
ii l-CHGX - WAVENOPtK4AX1 - WAVENO(KMINI
I;HCY = RAX Bi fN
....... CHECK F OR CHGY = 0. 0.
IF 1CG.Q0.F~ GO TO 110
75 SOPEI = (CHGY/CHGX)CY =AMAX- ANPITDlKMIN+I)
CX= WAVENO(MAX) - WAVENOtXMIN+1)SLOPF2? icyICX)SIGN SLOPEI * SLOPE2
ZI ARSESLOPEI)Z2 ABSISLOPE2)
If- fSIGN.LT*.0FE.OR.112.LT.ZZl) GO TO 110BMIN A'MPLTD(KMIN'11
107
fCt46Y CyVXMIN KNIN + Iroi)1
C......... LFFT -SHORT SIDE Of THE PEAKESle
40AtfjL~pI~l - ((tifGY/cHGx)CY -AMPLIM(MAX-1) - SHINCX =WAVFNOIKMAX-11 - WAVENO(KNINISLOPF2 = ICYfCX)SIGN =SLOPEI *r SLOPE2ZIA ABSISLOPEllt18 A-3SESLOPE2)
IF lSIGN.tToOý0EO.OR.ZZS.LT.ZZAJ GO TO 110~I IBMAX AMfPLT9(K14AX-1)CHGX LXCHGY CYKMAX =KIIAX-
rO To) 80
Ile, DI -= I¼GY*(WAVENO(HKI-WAVE-NO(KNINII)ICHGX02? Dl + BMINAP.,-' APHAX - 0
4F AVEN0414K)
...........FNn THF VAL,.1:S FOR (APHAXWFDZqAP2I BACK TO MtAIN.
RFJURN
108
'Julil(HJtT INI_ tASLI NI ')IfF, VAl'i-F) O~1o000f
0000007f 000000')
(.IMMON /PfINTt/ NWORDSI30) 0000010nIMFNS(ON AMPtTUI469IWAVENO(468)1IDWORt•468) 0000011
.IMf:NSION CHIN!150ICMIt42(503) PEAKIt50A1S5O) 4TI-,S)JDIFIFf 30i O00qOl2
0000314
C... .... 11i11 S113ROUTINE SEARCHES FOR ANO RECORDS VALID PIEKS 0000015-... WI[THIN FAITH |NDIVInUAL SPECTRUM, 0000016
0000017
C 0000019S..,.. Att,114 FOR MAX. 50 PEAKS PER INDIVIDUAL SPECTRUM. 0000020
C 0000021I ttiEf I-fit DkAA WORD IN THE SPECTRUM Flit. 0000022
0000023
'..-.11, ;F:F- Ip -ln VALID PEAK IN tie SPECTRUM (IEFT-RIGHT). 00000?4r 0000025
I |WRf K = 0 NO PEAK AT DATA WORD OYiK'P% 0000026
I INVALIO PEAK AT DATA WORD WIPPK". 00000272 VALID PEAK AT DATA WORD *ilKe. 0001028A INVALID PEAK At OATA WORb * , PEASURFOOO00029
- lRY THE COBASE SUBROUTINE. 0000030r. VALID PEAK AT DATA WORD IVP• , MEASURED 000001iSBY THE COBASE ibiROUTINT . 0000032
0000033
000003S", TI1i0046?' , VWIABLES. 0000036
000003?7000003180000039
-. 0000040
-L94,'69 000004,1
I')t;x 0 00000425, 1 I;•'y P'IF 0000043-' !! O. • 0000044
A,. O.u 0000045
eH) 0.0 0000046i ,'M C0NT!NUE 0000047
1 = 0 000004O0000049
0000051
REAI);_21) iFAMPLTn.WAVE.O 000005.NW Nr NwnRnSIFI 0000053
0000054• 1, = +1 0000055
109
11 fWAVfNOII).GT.3?00.EO) GO TO 1.0 00000561IS If (WAVENO(l).Lr.2100.EOI GO TO 90 00000574
It (.I.NE.0I GO TO 20 0000058(CMINI(IP) AMPLTOIII Oo~ooosql
?0IF (WAVENI)(I.1).LT.700.EO.OR.1I*11.GE.NW) GO TV) 130 00000614
IF (AHPLTfI+It).Gr.AMPLT04I)) GO TO 30 00000624IF (J.NF.01 GO TO 40 0000063,CMINL(IPI = AV4PLTO(141) O00000641,Nl~l*1 0000065t
*1=1+1 000006616 ,Tj (Ii ?o 0000067t
40 J~l00000684Irl~l0000069(
WRthol~ 400) TOWCNiMPLYD(1PCMIN1EIP) 0000072(
40 FQR TO ( ?O 593X9F15 5a7 0000073(
A ý-AMPLTn(I) - C AINM(P) 0004
PfAK(IP) A'MPLTif 000075
'0U IF (AMPLl19IIl).(rT.AMPLTDlI)P GO TO 60 O0000077(I--I41 0000078(mrno so 0000079(
1,) CMIN?(1Pl1 AMPLTDUl) 0000080(0000081(
IPAXN2 N2 0000082(814P2 - (.4 !N2?(IPP 0000083(
-PFAKiIP) - AMP? 0000084t(r MAXIIA,ý': 0000085f
I,'?. - nIEFIJ1ý * VAtuf a000086(
U- (C.C1T.922) IIQWORD(IPK) 2 0000091 (r 0000088(
C **.**VAt In) PFAr. 'IELOW ***0000089(':A1C.,lATF- FQUATION FOR LINE CONNECTING TWO HIININM POINTS. 0000090(
0000091(Ar)JUS, BASFLINF FOR THr TANGENTIAL CONDITION; 0000092(THU'S BSELINF MINIMUM POINTS WILL LIE ON THE TANGENT. 0000093(
0000094(rijy=j'4V(-!4(,tN2) WAVENO(NII 0000095(
=CMIN2(IPI - CMINlIIPI 0000096f0000097(
r.HFCK FOR A = H C. 000009810000099c
n cSiR IEn THE IP-TH PEAK. 0013
Slf)IPf-I (CHGpY/CHGXl 0015
110
-, CMIN2W1P - AMPLTOINI*+1) 0000106k
rx WAVFN"nIN?) -, WAVENO(Nt+l) 0000107(
S101lu? = 1(,Y/CX) 0000108(
IF(INL..E.R12L.Z)GO TO 1.10 0000112(
NiG = 11 00014
A ' SifRT ýI!)F ')F THE IP-TH PEAK. 00001.19(
c 0000120(
fiO SLOPF1 = ICHGY/CHGK) WAEON000012ý(CY AMPLTDfN2-1) - CMINJIIP) 0000122(
(X WA'jENOWN-1)-WVNINI001ASYP?=(CYICEX 0002
St 1,1 00001256C
III? ARSItOPFI)2 0000l12(
ir (!~ T.0.W0C4.1q.li2.LT.Il1) GO TO 110 000012 a(
IIf) A'4PI.TOU'?-1) 0000129(
("(; (X 0000130(Cy 000013V
N, 'N:- 00001321
qc T ' 000013),(000013411
~ *1~"ffD!PKI-WAVENOIN1)1)/CHGX 0)000135100001 36(
fl[i=A?4PtITLJE OIF THE BASELINE FOR THE iP TH PEAK& 00001314
HT(IP's HFJI'-4'4 OF THE IP-TH PEAK. 0000138100001.394
p - r(I..MIN1 ~P)00001404I: 1 rj OFAK( IP) -ABEIP)
00001414
~i 1D~Wt1K).Q.)GOT( 120 0000142'
!'wnl4[t(I.x 1 00001434a." 1P~00001441
000014'10
( AMP2,11411N?! Trt; TRUE MINIMUM POINT ON THE RIGHIV SIOE. 00001461
C 000014T,
irA1NI(tPI AMP? 00001481NJ =MIN?000014941-1+)0000150(
nrn TO If) 00001511
90O IF (WAVEP4O(I).1-F.I800.EO) GO TO 100 00001531
I.-II 0000 1541(;(I Trr go 00001554
,10 IF tWAVENr)(II.LI.O0.EO.OR.I.GE.NWI GO TO 130 0000156(IF IK.NF.0) Gf TO 20 0000157(J=O O0000159(
CMTNl(IP) = AMPLTI)(1) 0000159(NII 0000160(K= 1 0000161(GO TO ?0 0000162(
0000163C
C• 0000165("........WRITF IWRO INFORMATION TO THE DISK FILE 22,. 0000166f
• 0000167(
C*~~~~~~**** ~ ~ ~ ~ ~ ~ ~ i 0***************** ***** **"*"********00001 68(0000169(
110• WHtF(6,5O0001 If 0000170(
W" IT{: •'.;0.'11 | IDW(IRD 000017T.(500,0 f-,',)tNAT (5X*151 0000172(r-001 FORMAT ('4/5X91I00111) 000LT31L3
WRITE (22) Ifvlf)O~fRO 00001"74(WRIITE (241 IF,AB,H, 0000175(
Rf i URN 0000176fENO) 0000177C
i
112
%,9JRkOtlI INE CI)BASFIf)IFFqVAIUEqJX) 000"GiC 000001",... . Sfl tMBFP ZR, 1979. (CHANGED AT AF/RPL : OCT., 24. 19791.
........ 000001C........ COC REVISION. 00000]
C 00000!('IMMON /%PECTR/ IFILFI30),NPT29(30) 00000iCOMMON /TWINPK/ ALIMIT(6),ZLINITI6)iNFILEI6)vDI0ICOINUNBER 00000]DIMENSION AMPLTD(469),MAVENO(4681)IDWORO(468 ),AB(5J.PHT(501 00000]OIMFNSION EDGEI(25),EDGE2(251,ISPEC(2•|3,JWORD4253,NASTER425I 00000OnIMFNSION A(25JvY(50,11Z503,0IFF4301 000001
C 000001C ........ COMMON BASELINE ROUTINE / MARCH 19, 1979. (OCS) 00000ic 000002C ........ THt, SL.BROIUTINE IS A USER REQUESTED OPTION. 00000cC ........ THIS LOGIC IS uiILIZED TO ESTABLISH A COMtPON BASELINE 00000;C ........ FOR ADJACENT SPECTRAL PEAKS. 00000-C 000o•2,". .......- 000002
1• 00000?
C........I - wH I-TH DATA WORn IN 7hE SPECTRUN FILE. 000002C 00000?C ........ I,"' THE iP--Tl PEAK IN THE COMMON BASELINE (LEPT-TO-RIGHTI. 000002r 000003C ........ MAX1iUM NtJI;IFR or PEAKS PER BASELiNE - 25. 000003C 000003f. ........ AI'4,M NOUMHER OF COMMON BASELINES PER COfPUTER RUN - 6. 000003
000003r -- ------------- -O OO-- -r 000003
or) ' .1- ? ., ?.'- O000003
ISPEC0J2) = 0 000003CONTINUF 000003
0000'04I . BY SEARCHING FOR THE FILE (MFILEfdtXIl MI'H THE OPTIMUM 000004C......... PICIUJRE OF THE MULTIPLE PEAKS. 00000f,
000004
0000 .9 11 [- ,,NUMBER 000004(7- ([FILE(|).FO.4FIIEIJXII GO TO 4 000004ITPFC(II) = 1 000004
IR S T4 1 000004GO r1) 5 000004
4 IF - 1 0000005 C ON I jNUIT 000qA
MAXXNIJMBER - I O00000o
tc =I000Q05c oooQ05
C .,CAU FROM T14E NORMALIZED FILE 21. 000005
113
6 :;:) 21 i XJMPL;!IA:E::O 00000
READ 122) o~IWP 00000REA (24 iAi 00000IF (WAVEQ.F OTO 7AIII(J) 00000.
=1 00000
WRITE TO PDAE AM~~IDWDFIE 3 00000,
c ~ - 00000oWRITE (23 IX()O 00000WRT 121IBH 0000r0GO IF (AP6~elL.MLDIIG O4 00
1 c 00000
~A) o 35000007. 1=0RDP 00000,
IP~l 00000
IV1.* = 00000
10 1979. 00000
0000020 'IF (hAMV(nf-NO(.LE.ZLMILTDIX) GO TO 600 00000
FA)GM2IPI- AMPLtT (1-11 00000C 00000
C 00000
6 Pi P+I 00000
0000065IF (AMPLT0(It1).LTaAMPLTDII)3 Go To 40 00000
00000
(O10 6o 5 0000170 WOR01IP) =1 00000
71If (AMPtT0Irj(4).GT.AMPITOjIII GO TO 60 00000I~I* 11400000
F0011~ 000010
fkj 200001C
GO TO? 62' 000011000011
;o 12Cr ill. - A!0F j f ) 00001!
t2 000011000011
12 M~1EIiP~000011q ~- tyj000011
000011rC -l A ff HE .Ft-GlH OF THlE RIGHT SIDE. 000011
000011±i 1~Oii000012
8 f iwi AtMP *O1i~i -- EI)GE211P) 000012-~ 000012
i ~ VALUE) 000012~, ~-i.1.O)O 0G If) 1.00 J0001Ž
00001,241 000012
000012I 160i~ Fo O.LI NE CONNEE I I G IrWnl MINIM M POI NTS.- 000012
C 000012-A!ELlNF. VCR~ YE TANGENJTIAL COMLITI(4 I 00.0013
* *.O !'N t'f. MN IIMUM POT NTS WTILL 11 L ON THE TAISM 1. 000012000013
i.'WUNOý I -WAVEK101NI 0000 1*t1'y UDI) 1GEM)l 00001-
OOCOX I* 6I.I *. 1 .f~0. 00001i
0000E--~I~CIf O(FO? i-fl TO 110O 00o001-
00001?f1 d T~ AWý'-JrIAL CHECK. 000014
00001'f~' Ii .;LHi;F ý ) GO TO' 1?0 000011
00001A-- SfitE OF THE PEAK4S3. 000014
0000i'1.SIA )#,I- i ( 'fWrf1'le x 00001,4
Y !G'EMIP) -ANPLrO(NI+ll 000014X WtAVFNO(N21 WAVF,,I0tNl+l) 000Q14
'.tiP or = try/rx) 000014SIGN SLOPEI * SLOPE? 00000.'Z I ARSISLOPEI) 000615?7? z-ABS(str)PE2) ooool;itF lSlGN.LT.0.0E0,0i4.Z2.Lr.Zlz GO TO 110 0000'1'
A'4PLTD(NIO'1) 0000154-HCX EX00W
115
Clirby - Cy00)0011N i -'41 t 0000 1,Wf~ r'l 00001!
00001,..... ALFUI- StiORI SIDE OF THE PEAKISJ. 000014
C 00001!17'0 1-1 flpf- , 1C.l-V!ICIIX)( 00001tl
CX =:~w~N-)- WAVEUJOMN) 00001fst1i-I2 = CY/cx) 000014
; VP- IOPEI * StUPE2 000011III ý1n1S(LOPEL) 00001t112 A8SISLOPE2) 00001iIf (S1GN.iT.0.i')EO 4O4R.lL2.LT.ZZI) GO TO 110 000011
toX1ZP =AMPITOMN-11 00001'
00001,W' = NZ 1 00001'
-U) i~ l.,000001*00001"
*~~11 tiOUS~fUIPR PEAK Hf MiT INFORMAtiON '"AT WAS 00ooot1C ........CAICUIMAUDIN i THE "fBASELNw IsUBftUT1WE. 0000U~C 00001,
Ce. .IA' NO. MU PFAKS FOUND IN BASELINU I NrERIIAt BETWEEN 000011i...... NI + N2 BY BASELN SUBROUTINE. 000011
0000111114 ~iI 000011
IAASN1I'ýljMA'W=N? ~-uoj0 105 LA 0A %N IlAIIf (IIOWROILAAI.NE.0) ISUM ISUM I 00001fIMObiRM(AX) =0 000011
I~ :'ONTjNtJI- 00001fiF f!nnfp.Wrt.1) GO TO 115 00001f
00001 t
!4A'rFR4-41) JW.IRE,11Z) oooois01,41IN,'OF 00001s
000 01C11'1FK=IP 0O000V
I1I" I SHIFY=NPFAK-- I S'L'00001 '
fit) j'() Jz1,NPEAK 00001'CMiA = ASTERIJ) 0000V
1)[N =(CHGY*(WAVENO(IAO)-WAVEND(NI)bI/CHGX 0000V~* ~000M~
C. .....ABIP -AMPLITUDJE OF THE BASELINE FOR THE 19-TN PEAK. 00002(
ALII '-Dt. f EDGElII 00001i
116
IUWO)RC'4 AD) = 3 000020IF (IVALID.FQ.1) IDWORDIIAO) - 4 00002C
150 CONTINUJ 000020c 000020aC ........ MASTEX) IS THE ARRAY FOR THE REFERENCE DATA WORDS. 000020
Co 000020C ........ CHANGE THE FILE NUMBER4SI; THEN RETUNW TO CALCWIATf THE 000021
C........ NC'MMON BASElINE" PEAK HEIGHTS FOR THE OTHER PWIS). 000021c 000021
200 WRITE(6,666) (MASTERML),L=E1NPEAK) 000021WRITE(6e700) fA(JJ),JJ-I*NPEAK) 000021
700 FORMAT (L0(5XF6.2)) 000021666 FORMAT INHO,5X,5I3) 000021
000021K=O 000021KI = 0 000022IC = 0 00002200 220. IR = 1#4t68 000022IF (IDWORO(IR).EQ.O) GnJTO 220 000022K - K + 1 000022
I = K 000022If" (IR.G[.MASNI.AND.IR.LE.MASN21 GO TO 225IV- IIC..FQ.1) L - K-ISHdIFT
Y(K) Afi(L) 000022Z(K) HIMt. 000022GO TO 220 000023
.?25 91 = KI + 1 000023YlK) ý .AIKI) 000023•
7(KJ=AMPLT3(IR) - Y(KJ 000023
-1 000023I) C.NfINUF 000021
0.t11E (25) IF-Y,Z 000023WRIIF. (?3) iFtii)WORD 000023
if- (It'-.GE.NUMBER) GOTO 230 000023H l--- l- + 1 000024
0)0 300 -1 = IHNUMBER 00002'4READ (Z2) IY,IDWORD 000024WiTF (25; IYiOWORO 000024PFA-) (24) [ZABHT O000Q24
W/RITE (?5) 7.,ABHT 0000Ž430%) CONTINUE 0000?4230 CONTINUE 000024
REWIND 21 000024REWIND 22 000024REWIND 23 000025REWIND 24 000025PP•Nr) 25 000025
00002500 310 1 1=1,NUMBER 000025
11
"117
READ (?31 IYIDWORD 0000;WRITI (27) IY9IOWORD 00002READ (25) IIIABtHT 00002WRITE f241 11|IABHr 00002
310 CONTINUE 00002C 00002
REWIND 22 00002rEWIND 23 00002.RFWIND ?4 00002REWIND 25 000021IF (LOOP.GT.NAXXI GO TO 400 00002,IF = ISPECRIL)0.3 00002.LOOP = LOOP ,-, 1 00002.GO TO 6 O00020
C ........ END OF THE CYCLE. oood2,4.00 CONTINUE OOOqz
RETURN 000,2E NO 00002
118"
fSUA~rIT INE PKr ABL(t IREG, ITOTAL 9IKOIJNT) 01 0I ~00000')C ........ SEPTEMBER 24, 1979. (UJPDATEDI AT AF/RPL : DCl. 24, 1979).c 000000C THIS SUBROIJTINF CROSS-REFERENCES ALL THE PEAK HEIGHTS 000000C WI1H THEIR RFSPECTIVE DATA WORD LOCATIONS. 000000c 000000
C 000001CrjMMON ISPECTR/ IFILE(30),NPT29E3O) 0100001COMMON /POYNTSi NWOROS(30) 000001DIMFNSION AMPLTn(468),WAVFNO(468),IDWVRD(4681,AS(SO),HT(50) ("03001lDIMENSION Tf30),IPRINTE3O),LEA(301 003001I
C 010001C, WRITE PEAk HF!';l-T INFO. 000001lC 0000Q1
I READ 121) IF*AMPLTIO,WAVENO 000901READ (22) IF,IDWORD 000001READ) (24) IF,A!1,HI 0000f0?
00000?WRITE(6,200) IFILF(IF) 000002MIA = 0 00000?2NW = NWfOPDSIIF) 000002
010002001 2 J4-1,NW oooooýIF f[DWORDlJ4).EQ.0) GO TO 2 010000?MIA~rIA+l 01000W?IF (MIA.EQ.?6) WRITE(69200) IFILFIIF) o000001IF (IDWORD(j4').E'h.2) Gfl To 15 onono0,iF (IOWORD(J4).EQ.3) GO TO 25 000007IF IIOW0ROIJ4).lEQ.4) GO TO 110 00000__WRI-FE(6,300) ý'AJ4,WAVENO(J4),HTIMIA),ABIMIAI 000001rýO TO 4 000002
'5 W~iTE(f6,320) M!AJ4,WAVFNO(J4),HT(MIA),AB(MIA) 00000Q-G~O rO n.oonoo-
tS WRiTEI6i10) M4IAvJ41WAVENO(J4),HT(NIA) ,AB(MIA) frlono*0rrl TO 4 0000 (-
I1.1) WRITF(h,33a,)) MI1A,J4,WAVENO(J4),HT(MIA),ABIMIA) n n r0o(64 IPRINJ(IV) =J4 0000042 CONTINUE 00000'
c, ooo0od4IF fIF.GE.ITnTAL) GOTO 3 000904GO TO 1 0fl0004
C 0(000043 MXDW= IPRINT(l) 000004
C 00000400 230 KAN-291TOTAL 00f0004IF fIPRINT(KANI).GE.MXDWV MXDW=IPRINTIKAN) OODOOA
230 CONTINUE 00000,
119
REWIND ?I0000'PFWIND 22 no oflrj ,REWIND 24 00000 Y~
C 000()(15
f,** pRIN-r-i,jT PEAK HEIGHT TABLE. 00000"
C 000006(
'5 U, 0(IN. 0 000006~I KUPJNT 0 0000 f6iDo go0 18=1,30 000006,IPRINT(I8) 0 0000~l
500 CnNTINUE 0000Q60jyj10 l~i,,4nw0000o6;
on ioui=I~xwonown6"o0 35 M-=1,30 000r,01,LEAM = 0 000~00AYIM) - 0.0 01000(T 1
-3S UOP41INLJF 0000071N =0 OqyO)- r
[45 PFA0 (??l jJJrvIjwl rl 00n0007,READ (24) jJIAR. i~l 000007'-IF tInW0PotII).wJ.o) GO TO 50 000)'7,if (JJ.GF.!Tr)TAtU ;n rn 60 nnor.f) TO n
:;ýRINI(Jj, b+ 110000. +1
ipI IPRI'v1(JJ1 oonofofTlJJI = HT(JPI.) on,100PIF (IDWORn(rI).cQ.?.0p.I0WORD4II).EQ.4) tFAI.Ji) i))9
f, I~J.irE.ITnTALJ GO) TO 60 00(
GO ii) 4" 0%j..
;.)!F Im.EQ,,a) GO Tf) 15 0 00 0!ý9
.... 1 "IY tAK HE1IGHTS TO FriLC 26 FOR LATER PRMNG.000qf
WRI1'Ef?6) 11970009ICOONT = Ic(1UNT+I
000001;
IF- i ipFG.fo.0) GOTO 65 0000091
~......,..TO PREPARE FOR CORRELATION OF PEAK HWiGHTS AND MECHANICAL 000009E
C.........pqt3pr-Rf JES ; SEARCH rn ONLY THOSE PEAKS THAT ARIE VALID IN O011431
......... ALL THE FILES. 0000341
120
(..... D NOT YNCLUDF THF WAVNOR PFAK IN ME~ RFGRFSSION ANALYSIS. O')r.........(T14F RFASON FnP THE N4PT29 CHFCK RELJW SDIIII3iSDIKKI 0.0). 0100034
IFf(I.FQ..NPT?9(II) Gfl Tin 65DOf ?10 KAY = ,ITOTAL 000039IF (LFA(KAYl.FQml) GOT( 210 000009
? 10 1ONT I M01 0000 1 0IF- I!STOP.EQ.I) GOTO 65000r
C. FILE 27 +4-++.+ VALIDI PEAKS IN ALL THE FILFS. 0000110WRITE (271 11,T 000011)TKOUNT =IKOUNT + I. 000r1) Ir
65 C n FT I NLF 0000101REWIND 22 000010.REWIND 24 000010
10 CONTINUE 00001")C****000010'
REWIND 26 000011IF (IRFG..EQ..101 R(EWIND 27 000011
C, 000011,NI I~ 1 00001
N2 10 000011,C, 000011'
`50 WRUTE((,410I (JFILUIJ)v =NlvN21 oo.Ilk -'40 *43 -- I, MO~UNT 001PFA[) (?6) N40 - 000011:W;Irts 16,400) N4,1 TkKl,K='NIN&2) 0000111IF (N3.IQ.25.nR.N3.FQ.50) WR!TEt6,4l0) (IFILE(I),I-#41,N2l 00001?1
C~ ~ ~ ; GnlD 705- 000012
"4 - H 00001?--W!r 26) 000012
I .EiOAI GO TO TO 00001?2
!I- .'4 EQ0 -q102 000012'it 30 (0001 ?
r 000013
0000171
000014*
N 0000*
0021I
0001
000~114200) u)IMA (1it'l ,4',,"f-OUPIFR TRANJSFORM INFRARED SPF:CTROSCOPY -- NoRmAlnoun014
11!FO PFAK VIFIGF4T INFORMATAON FILF NUMBER69I3TI/5X 0000142,**- DENnTFS A VALID PEAK."/5Xv"CB. - DENnllES A PEAK 04EASURED F00001/1
3ROM A COMMON RASFI INE ."115X 00001449"PFAK NUM8FR DATA WORD WAVE NUMBER PEAK HEIGHT BAOOOO145SFE-IN[ AMPLIToDf"/5X,"----- - - -------- 00146 -- ------.-- u 000019
3()( 1-ORMAT(lHO,8X,12,13X,13,8XP1O.4,5XF12.7,5XFlZ.7) o00019310 FORMATfIHO,4Xt,*** ",12,13X,13,8X.FIO.4,SXF12.7,5X,F12.7I 00001912f) FOP#4AT(IIHORX912," CR.0,9X,13,8X,FIO.4,SXF12.?V,5XFXZ.71I 000019330 r-nRMAT(1tl0v4X,"*** "v12," CB.",9XI3.8XFtO.4,SXF12.7.5X,F1,2.7) 00001ý400 FORMAfl/8XJ3,7X,t0(F7.3,4X)) 00001c410 FI'jPMAT( IHI ,7X,NFTIS *e*********** PEAK HFIG14T TAAUL03001t3
IAJ ION FOR ALL THlE FILES ****************~***0Ot2//6X,"DAfA",8X, (00001,
310("FILENTX---X,--------Xl-----9--------- ---- oooo'1 i
(ND 00001'ý
122
or))r f I~'fN II rPr / VMA X, F MI NNOR M onr1) 1 mvN ý I 'P APIf4 70) WN( 470) 7F STI131D)ATA I1E",T/ 'I Ir",H NUM","BER no 000060' 'r)
t t%- IF 0000610'
r) YI 7ý. 15
Y I T 4i=VT T3-.20 n00-VA07(CAI i SytVar~it .',H.1, FhnRCE RPLU,0~.,15'CA'I t ýYWAI"l f.')YT1Tt,.1,"Fr~tlP1FR TRANSFOR14 INFkARED SPEC TRUMlw, 1. ,000)6)
IAl I ,Y 4 ',111 (."ýYTlT4,.1,"IAPE ="70.91) r0) ,2
I Ymp r Y4~)L f0Yr)(. I ) ,* ,F; ",0.,? 1) 00~0 l4r
0~"4f.f 1 1C v 'pMRr)I. I5, YT IT4r. 19"NORMAL I 7F SPFCTRAI DATA"000;,6%i?.1
ly Vm~x 00O'0)f ?1'"1 ('0ME.) r)q n 20 0 6 3 7 r
"' ~' '' 000161in~
0000t340SIN(, t f y A I 00006 35')
0 1 0 00f,3 0ýK A~i)000f)61~7j
Ii JU~PTS0000639nI (APLII.GF.AMAX) AMAX=AP(J) 0000)640')i- (Ar'1ji.tr.AmrNt AMTN=AP(J) o loo A41 *r -1.J I NIP' 0"110tf 4?()0
",~P 110 TNS4 1 AMIN ):),'0 6 441)
flr) ) 06440)
';f Al INr, fif- X AXS 000064 7)00000) 4 ; 0
123
W'~'NP1+?) -'00o.nFOJF ~ ~ ~ G (Nl'4FX)ff Til1 40 001~ "
(At IAX IS (J. ,0. , "N'IRMAt. IZ F) AMPL T TUDE,20, 1.Ot 90,9QAP (NPT S+II , AP f'In06 r;2
INP iS'?) 0010 L 4 C
f At I X I ', 0.,n.,'.v4PLfru9')",9,tO.o,90o.AP(NPTS41I),AP(NPTS4?)) 00()0Mcil)S(.Alt t AXI I') f.,f,"WAVE Ntj#4RFR"#,-1I9,2OO,O,,WN(NPTS+IIWNIP4PTS4.2fl 0 Oo ) f liCti[ L 1, 1 (WNIt),AP(lhP.JPTS,10,02) 01OW) C;1 :CAL L Plnfl(?3.4),O.O,-3)
124
S'IIHRfl JI Ir4 RFGRES 00000040
00000010GC MUITIPLE LINEAR REGRESSION OOOOOOO
BY THE STEPWISE METHOD 00000090IhEVELOPFD FROM THIOKOL PROGRAM NUMBER - E023. 00000100
00000110
C**4t * ***ii*******************************************00001210
0000014(N - fOTAL NUMBER OF VARIABLES ON INPUT (MAX. " 601. 00000150(S- TnTAL NUMBFR OF DEPENDENT VARIABLES 0000016n
r - TOTAL NUMBER OF OBSERVATIONS 0000017£cF1 - THE F SIGNIFICANCE LEVEL TO ENTER A VARIABLE INTO THE 000008I0
C REGRESSION 000001 9Cfý: f 2 -THE F LEVEI TO REMOVE A VARIABLE FROM THE REGIRESSION 00000200
c. [TV -N•=UMBER OF TRANSFORMFr) VARIABLES 00000210-VARIABLE NUMBER BEING TRANSFORMED 00000220
C NTRAN TRANSFORMATION TYPE CODE 000002?nf1, LOG OF X - LOGIO(XI)) 000002',fl2, POWER "'T: - (X(I)IA)**P OOO002•-
- 3, SQUARE ROOT OF X - SQRTIX(I1) 000002614, NATURAL LOG OF X - OGIE|III 00000270
= 5, XII-1) * (X(J)**POWERIIII O0000280C ON' - TRANSFORMATION CONSTANT IF ANY 00000290
r. POWFR - POWER TO WHICH TRANSFORMED VARIABLE 0AY BE TAKENt 000003001.0 WHEN NOT INPUT 00000316
W_ - WEIGHI APPtlIED TO THE SPECIFIC 3BSERVATION9 0000032Vx - ,aTA FOR VARIABLES I UP THRU N. 0000033C
00000340INCORPOR4'1f) Al- rHIOKV' MAY 26p 1978. 000003qr
,_ 000003hi
SI4R0')VTiNE 4'RIT[IFN (IN MAY 22, 1979. 00O0O3i-- O00OOG3•0
B Y w)Wl N .TH 0000030C* 0000046c'
Pr5-4 ,-N /.,RREI.f PRREF(60),MPFILE(30, 0000042',NPHYSI 1101 *NUMDEPNL1MIND.NUNOBS.IRF4 0000043J
.:':,!N /s. ,.•TK/ IFILF(301,NPT291301 0000044*-I M F NS I ()'- F,,YS( 100,10) ,XHT(30IIVARISOI 0000045 C'oMFNSII1! FDISTI30), SUMX(60)v SUMXX(60,601, X160b9 8160), SB660),OOOOO4hC
; rIýIS (601. • D0 60). R !60.601. XRI60) •POt•R16O0 ,51160)YTT•OI ,CORRCF110OI 00000+ 7ý
?,'4HPAN(60),IFLA11; 601,lSUB(60) 0000040C000004?C
C ......... I - OISIRIBUTION PERCENTAGE POINTS fALPHA = .101. 000005&•r 0000051 "C........ F-- TE TFXT , PAGE 482. 0000005dC 0000053d
',rrA FOIST / 39.86,8.5395.54,4.54t4.O6,3.o7,3.59,3.,463.36,3.28o 0000054ý03.23,3.13,.3.1493.10.3.07,3.0593.03,3.0192.99,2.97, 0000055C
125
2.96,2.95o2.94, 2 .9 3p2. 9 2, 2 , 9 j, 2 .og, 2 . 8 9q2 *89, 2 og8 8 0000056uC.
C
C RFAf MECHANICAL PROPERTIES TAPE ; GENERATED BY E410 pstOGRAN.
C
r 0000057(RFAD(IPFG) TITLE
4 READ (IREG) NltN2,N3,N4,(PHYSINI.tN51,N5s-|O)IF (FOFITRFG)l 5v4
5 N = NUMIND + NUMOEP 0000060CNN = N 0000061CL = NUMOEP 000006?(M = NUMOBS 0000063(
ICIJRVF = LINEAR JR NON-LINEAR REGRESSION NOD,`. 0000064(ICURVE = 0 0000065fJCURVE = 0 0000066(RFUIND IREG 0000067(
10 ITP 0 0000068(L -L t 1 0000069(
IF (IL.GT..Z9 STOPFl F-OITtlL) 0000071cIF2 FDI'T(I.L+l) 000007'CII (ICURVE.FQO.0) GO TO 12 0000073(" " ! NJMI + JCUIRVE 0000074(¶.i'l1f (h,7051 NV 0000T7•(U-' !fl II 0000074(F IIF |6,7101 0000077C
I1 VRIIF (6,j720) NL,14,FlF2 0000078(0000079(
C JNITI#l tZF SUMS. O00008O(0000081(
I +- - 0000082(
0000083(1(lh-O )O0000084(fill 10 i=lN 00000R5c
0000086tfil`RALfI I I= 0 OOOOORIC•rr~• ,,t=O00000sic
2.•IA,(i}=0 000008%I(tS1l~I)I =0 O0000R?(on 20 J=IN 00000961
0O S(JMXX(I,J)=±.O 0000091(000009? C19 •,= m O0000003c
If) It (11 WI '50,50,40 0000096C0000095(
VAIII'LATE SUMS, SUMS OF SQUARES AND CROSS PROUCTS. O0000q6(SRf-,•) ORSFRVATIONS FOR EACH VARIABLE XII). 0000091(
126
0000099WR I I (6, f1 5 0 ) 00000009
00001000
C 00001020Ce. SETIOP INDFPENUFNT VARIABLES. 00001030C 0000104C
IV lICURVE.EQ.Il GO TO) 76 00001050c 00001060
0n 3000 MCC) = 1,NUMIND 000010:'0P'FAF) 127) IAX,XHT 00001 0130;'(MCi)2 -~ XHT(IflhlS+11 000010q~0IVAR(t4C1) = AX 0OO0110c
3O00, COJNTINUE 000011t0RFWINO) 27 00001120
a 0000113CIfIN( WHICH RECORJFO t, NEEDED FOR PHYSICAL PROPER.?Y INPUT. 0000114n
c 00001130c FIN[) WHICHi RECORD IS NEEDED FOR PHYSICAL PROPERTY IMPUT. 00001140C 00001150
1111 -- MPFI:IF(IOBS+1) 00007 160C, 0000i1170C......SiFUP DEPFNftN1 VA'q(AIILES. 00001130
0000110r.Or) r5 MGM=1,NUF4DEP 0O000l260KIM - NPHYSI(RGM) 000012fQXP4IlJMl4D*MGM) =PHV;(LIBKIM) 00001220
7'ý i ONT N0100001230GO to 7 00001240
B JFAf) (14) MX IRIJ2=lN) 000012560. 0 0000126(lI 00001270
( -- !?ANSNFORM*AtION 'lt-Sý1!811I TIES. 000012fl0
~ IF~(I.~.)GO TO 178 00001310iF (NTP.A:ýU)) l809t80#120 000013"r*P
I 'lNTR4'RANM0000131if ' ,.(),40,t'~u.I6O,170,1?5PNNTR0013C
W11111: l,,t60leo 00001350'ri3p
C. 00001370
000013,10116 ~l)ýLOGIM~l000011400
GT) tqO 0(001410
c PfI'wR OF X 00001430
14n1 X!) :tX(I?+CONS(M)**POWER(II 000014ý0
127
GO) Tnt 00001460
c SOIJAPF RIOOT ~fl X 000014"0
C 0000 1490
150 XII)=IX(Ifl**.15 00001500GO TO 180 000015 io
C ~000015'CJC NATURAL. LOG OF X 00001510
c 00001946
16)0 X II) A1OG( XI I) 1 00001991)(;0 TO 190 00001560
0000157G
C )~I-)MUl'I11LIED By IX(jI**POWER(I))- TRANSFORMATION CARD 00001580c CONTAINS (A) RESULTANT VARIABLE N4UMBER* 1S) CODE 5, 4C) NUMBER 00001590
r. OF VARIABLE MIULTIPLIER fXlJ)l, AND (01 POWkR OF XfJle (J NOT I)o0o01FA00C 0000161.0
110 JJ=-'.oNS(I) 00001620XI I)=X([-l)*(X(JJI**PoWER(II) 000016 P1
GO rO 180 0000164000001650
FA(TnR TIMEFS X 000016-50000016?')
It,%I )=Xi )*CrlNs I) 00001690GO To 180 00001690
00001700
c VARIABLF NOT CONSIDERED IN THIS PROBLEM. 000017100O000l72i
1711 , ( u.'jc 000001730t 40 C9NTINIJF 00001740
1'1 179 I.LN 00001750
r') ¶ SS11) =1 00001 7',d00001770iI IYwCl T0 SFE IF ALL VARIABLES ARE USED IN THIS PROBLEM. 11FLAG) 00001743000001791',( ri?1. 00001 Rb0
00 181 '1-,N 000018!')Ir 4 IFLAtIIl).EQ.0I GO TO 181 0000182co
I CIUN T= I r UNT+ 1 00001830
If0 1,13) '00-,1920 00001940
191 COTINUE 000011959
191 CNTINF OOO128
000019,0f. SUM IV tiJlFRVATIONS 00001970
c 000019AC20ou 00ll! 1') 1-1,N O0001Qqo
S1JMXI I);-SUMX IJ )+WT*X IMI 00002000000020' 0
'(C SMe OF SoIIARFS AND CROSS PRODUCTS STORED BY COLUWOS.o 00002011C 000020)0
On 2LO J=IN 000020.0S2!') SUM4XXEI,Jh-SUMXX(IbJ)+(WT*XII)*XIJ)I 000020';0)
IF tWT-i.0) 2?0,230,220 0O0020;iC,, rR I=(1S+WT-1.0 00002070
?3o(o fiiS= Ir n iA1 000020O000002090
iPlff O01SFRVATIONS ON UNIT It FOR USE WITH PREDICTIONS. 0000210000002110
I, IIlkt•.'f.LQ.1) G;oP ,u 235 00002120WR:'!f (111 IXIK),K=l|,NJ 00002130
"7 -,WRITF (6#790) (OBSIFILE(IOS1 0000214n',zRI6F ,O800) (XI iySUB(IPI=1,N) 00002150
000021 30It (tM-IORS) 260,260970 000021t0
,i)( It ICURVF.EO. l) GO TO 262 000021fl0UtiJTF (01,lO) 00002110GOIt WO ?61 0000220U
/f WPITi (6,8151 000022102i6 I ( nNTINIIr 00002220
pF'AINV0 ii 00002230IC1 - I 00002240
',i•0 I=i*N 0000225000002260
r '.i ANS. 00002270(C, 000022t10
* -q=flzsilM ( )lfClp %000022"000002300
,. . )1-VIATIONS. 00002310L 00002320
,! 00002330. Ct,¢.E'1l } GO TO 263 00002340
ý11. fIG.(;T.NUMIND) GO TO 265 0000235000002360
*.TTF 16,`201 XMII),S0(T%,ISUR(I),IVARIl) 00002370
rO Tn 270 0000238026, .PITV (6,819) XM(I),SD(IIlISUB(II 00002390
•(I 1fi 2U'O? (. ItT - ICT + 5 00002410
wPIT1- (6,8?1) XM(I),S•(II ISUiII),IPRREFILAILAwICTICTT) 000024`0
ICT - ICI + 6 0000243027? ,r;NT I NIF 00002449
00007450
129
If (N-K) 300,280,280 0029
?90 31 ?0 J-l,N 00002551
WRITF (6,8301 000025"(
410 WRITE (6,850) (RfI,J),ISUBII),'xSUBI.J)wJuIvNl 000029?(WRITE (6,660) 000025ti(
0000261(
C wh 0000261(
1.)U IF INEND) 3300S50,330 0000263(310 KýN-t'1 00002641
If fICURVE.EQ.1) 60 TO 335 0000265fPEA!) (12) ((P(T,J),I-1,N),J-1vNl 0000?66(1RFWIND 12 O00026s":GO rri 337 000026R1
~3' 1) Ar, ( 15) ((Rfl*J,5.!-1,N),J~lvNl 000026;(VRFWIND 15 00002701
31r KNC Nl= K+Nf- NJO 00002711Dn 340 I~1,r4 00002721HI K,II 1'RIKNFND, I 00002734
340 R(T,K)=R(IKNENO) 00002 74100002 75,
Sn(K)=-SoKNENO) 0000276tXMjK1=lM(KNEN0) 000027 T,
000027a,0000 7t9i
i Ii n wFR fiALF it: COEnFFICIENT MATRIX. 00002R01C 00002C,
3'i) 00 160 1 000028?,
4 t , O J = 1 1: ,N o o 2 40000284
(ON) INIJE 0000286-0000287,
c wP!Tt nRI(; 'INAL rORRELATION MATRIX ON UNIT 12 *0000288'
ITf flF IJSFD, WiTH -,UCCEEOING DEPEWC-14T VARIABLES IF ANY. 0000289C 0000290,
r rrn it USEP WITti SUCCEEDING DEPENDENT VARIABLES IF ANY. 0000289)c 000029~1
c 000029'J~ ( ICIJRVrt.NF.11 GO TO 364 000029;:'
Wýý]Tf 419) ((RuIvJ)vI-IvN)9J=lvN) 0000293
130
36•4 WRITE (12) (f(k itJllzlN),J=ltNJ 0000- SO
c PfGRESSInN ANALYSIS,. CALCULATES BEST REGRESSION EQUATION WITH 000029ci0
STANnARD ERRnR OF FACH COEFFICIENT IN THE EQUATIONe 00003000(I. 000030A,C r)FGRFES OF FREFOOM 0000302Cr. 000030, 0
369 rONTINUFJ 0000304,0170 Of =C()S-1.O0 0000305(0
K- N--L 1 000030600000307n
C SIANDARD FRROR OF OFP. VAR. 0000308fC00003090
NV IN=U 0000.100NVf)OT=O 000031?! (NTRY-O 00003120
ioO SrtSn(K)*((IOS-1.O)*R(KKIOF)**.5 000031J0NTRY=NTRY*1 000031.0K=K- 1 000031 SiOVMIN=l..OE35 000031 0VMAX=0.0 000031.70NMIN=0 00003180NMAX=O 00003190Df 470 I=I,K 00003200IF t~Ifl, I 390,470,390 00003210
190 !F IRlI,!)-0.001) 470,470,400 000032204,00 V('N('=R ( i K+I)*R(K-, !ItI/R( ~I || 00003730
I- (VfRNC0 440,470,410 00003740I t rI 1VRNC-VMAX) 430,430,420 00003250
4?0 VMAX=VRNC 0000325000003270
4: 000032301'* 0.0 000032190
G ; I T," 4 , 1 0 0 0 0 3 3 0 000003310
.CliA1 I Ctr':,ITN CnEFFICIENTS AND STANDARD ERRORS. 0000337?"f 0000311•000003340
"00003350IP IVMIN) 460,450,450 00003360
4 6, VMIN=VRNtC 00003310NMIN=[ 000033P.0(;n ITO 410 00003393
460 li- (VVRNC-VMIN) 470,470,450 00003400410 CIrNIINUF 00003410
"Y-'I•i--O. 0 00003421D)O 4.0 I=IK 00003430
131
4HO SllMfl=SUMIl.i( II)*XM(I) 0000344000003450
C, RFGWtFSSI..N (PURE) CONSIANT 000034E0c 00003470
9O=XM(K4I)-SUMBI 0000348Cv. 00003490S DiUT')OT REGRESSION COEFFICIENTS 0000300rC STO. ERROR OF COEFFICIENTS 00003510C STO. ERROR OF DFPENDENT VAR* 00003520C 00C03530
!F (NrRY.NF.1) GO TO 481 00003540WRITE (6,871) NTRYKSC 00003550GO TOl 492 00003900
41 WRlIT (16,870) NTRY 00003570482 IF (NVOOT) 490t500,490 00G03580490 WRITF (6,8F0) ISIJB(NVOUT) 000035¢;0
WRITF 16,890) FOUT 00003600GO TO 520 00003610
900 IF (NVIN) 910,520,510 00003620510 WRITE (6#900) ISUBINVIN) 00003630
WRITF (6,890) FIN 00003640520 WRITF (6,9101 RO 00003650
WRITE 16,920) (R11,IISUBI II IIK) 00003660WPITF (6,9301 (SB(SIOt=19K1 00003670WRI1F (6,940) SE 00003680IF (VMIN) 530,550,550 00003690
530 If (VMIN*DF/RIK+I,K41)+F2) 550,550,540 00003700(. 00003710
SFI ECT PIVOT ELEMENT FOR MATRIX INVERSION. IREMOVE VARIABLE) 00003720r 00003730
540 y' P-NMI N 00003740
NVflIT-NM IN 00003750NV IN= 0 00003760rOIJT=(VMIN*DF/R1,t,+l1K,1) 1*1-1.01 0003770
-f -1., 0 00003780(,0 TrO 5?) 00001790
",'•0 IF (VMAX*bF/(R(K+IK÷I)--VMAX1-FI) 660,660,560 00003800000038210
1410 VARIAF•LP) 00001820000038,10
96f' KP-:NMAX 00003840NVI N=NMAX 00003850NVfl/T=0 00003860
F IN=VMAX*DF/(R( K+ I,K'- )-VMAXI 00003870nF,-OF-1.0 00003880
570 K=K+l 00003990c 00003900C CA[ (.ILATF NEXT MATRIX. INVERT ONE VECTOR, STORE ON ORIGINAL MAT- 0000391OC RIX. MUST READ BACK IN ORIGINAL MATRIX WHEN SOLVING NEW REGRESS- 00003920C. ION FOR NEW OEPENDENT VARIABLE* 00003930
132
000031400)0 t1o I--IK 000039O-IF tI-KP! 5R0,610,580 00003960
"SAO 00 600 J=IK 000039?0IF (J-KPI 590,600,590 000039?0
C, 00003990C I NWT :-KP, J NOT =KP 00004000C 000040.0
5)'9 R(f,J)=(RIKPKP)*R(IJ)-R6IvKPI*R(KPtJII/RIKPKPI 000040?(:600 CONTINUE 00004030610 CONTINUE 00004040
D0 6ý-N 1=19K 00004050iF (I-KP) 6209630,620 00004060
C 00004070C. Nt T =KP, 4 --KP 00004080C 00004090
6ý0 1(tKP)z(-R(IKP3J/RIKPqKP) 00004100630 CE(KTINUP 00004100
Or; 650 J=TK 00004120IF (J-KP) 640,650,640 000041t!0
F P000004140C I -KP, J NOT =KP 00004150S-,00004160640 R(KPIJ)=R(KPJ/RIKDKP5 000041706¶,0 CONTINUE 00004180
C 00004190C -KPJ=KP 00004200S - =00004210
RIKPKP)- 1.O/RIKPKP) 00004770rtij TO 380 000042-4,0
00004240r -F.LVf1 F:")R NEW ).EPFNOENT VAR. 00054250
C, 0000426066') ',J-')=NFNfl+i 00004?70
00004280.411, ' T"1 t , ORRFItATION COEFFICIENT 00004290
1- 00004300
: •. -t .1 ,-00004310", . .- zf 1.)- !VnF*SF**2,/-(OBS-1.O)*SDSK)**23)*.5 00004320-'cTf -,950) RMULT 00004330
00004340If #ICUJRVF.EQ.1) Gil TO 661 000043s0
00004363
C I½RINT LAS( SET OF COEFFICIENTS FOR THIS RMULT. 00004370C,. 000043E0
4RIT- (413) (I3(IAD)9IAD=I,NUMINDO 00004390WRITF(6,920) (BIAD)vISUPIIAO)vIAO9I, NUNIN) 00004400C.ORPC.F(NENOI = RMULT 00004410(-" I'll 6 66 00004420
6hi If tRPWLT.LT.CORRCF(JCURVE)) GO TO 665 00004430
133
WRIrI6,,]00) NV 00004440GO (f0 666 0000445a
665 WRITF(6,101O) C0¢04460C 0000447CC PREDICTIOW4 OF EPENDENT VARIABLE. 0000446-0c. 000044n0
666 WRITE 16,960) KSC 0000450r0YPRED=O,.O 00004510SUMD = 0. 00004520SUM02 0. 00004530KPRE0=N-L+NENO 00004540KYY=N-L. 00004550
00004566RFWING j4 00004570no 680 1=11,M 00004580IF (ICURVU:.NE.I) GO TO 685 0000459t0I RFAl 114) (XKK=1,,N.I )n0046(40GO TOl 6036 )0004610
68'i READ (Ill (X(K)#K=izN 00004626686 CONTINUE 0000461•(
00 670 J:I,KYY 00004640YPRFD=YPRFD+((R(J)*XI .J) 00004650
670 CONTINUF 00004660YPRFD= YPPFflO 00004670AXX=XI KPRFD) 00004680I Fl TA=AXX-YPRE() 00004690SUmi) = SuM) + AXX 00004700SUS112 SUMD2 +IAXXI**2 00004710WRITF 16,970) IX(KPRED),YPREOOELTA 00004720
'R39 YPP Fr=O. 0 000047-'0RFWIND it 00004740RFWINn 14 00004750
1. 00004760C 1)-Vv. - VARY I',NIE (FROM PAGE 210 IN TEXT). 00004770c 00004780
-,NiMR = ',4092- I SUMD)**2/M) 00004790PEVV - S*"UMR / 4M-!) 00004800
C IGM = STANDARD DEVIATION. 00004810l,,'•= SQRYV)FVVI 00004820
KBiRR = tSUmD/Ml 00004830CVV = i5IGMA/X•iARR) 0000484CWRITF 16,980) XBARR,SIGMA,CVV 00004850KS(KSC SC + 1 00004860If If -NFND) 12009 1200 , 100 00004870
1100J WRIfE (*,8601 00004880rIn TO 320 00004890
00004000C dTARr CHFCK FOR NON-LINEAR REGRESSION ATTEMPTS. 00004910
00004q?0ý,O, IF fICURVF.EQ.1) GO TO [210 00004930
134
RFWIND 13 00004q4O
C ENTERING NONLINEAR REGRESSION MODE. IICURVE=11. 0000495OICURVE 1 00004960MIAMI L 00004970NUMI NUMIND 00004980
1210 JCURVE = JCURVE + 1 00004990IF IJCURVE.GT.MIAMI) GO TO 1500 00005000IF (CORRCF(JCURVE).LT..750E0) GO TO 1350 00005010READ (13) (B1(J3)iJ3-lNUMI) 00005020
1250 READ (III (YY(II)vII=lNNIIF (EOFIlII) 1400,9999
00 1310 J4 = 1, NUMI 00005050IF IBIIJ4).EQ.0.OEO) GO TO 1310 00005060X(IA? = YY(J4) 00005070XIIA+Il = XIIA)**2 00005080IA = IA + 2 00005090
1310 CONTINUE 00005100XIIA) = YY(NUMI'-JCURVE) 00005110WRITE (141 IX(KA)vKA=IIA) 00005120GO TO 1250 00005130
1350 READ (13) 00005140GO TO 1210 00005150
C 000051601400 CONTINUE 00005170
REWIND 1I 00005180REWIND 14 00005190N IA 000052001=1 00005?10
O T 10 0000522000005230
fC FORMATS. 00005240C P0005250
ItV, tfIR'AT (IHI,44X, F*** ETIS - NONLINEAR REGRESSION MODE FOR *****"00005260I/•PXt,"JqPENDENT VARIABLE - VARI"9I290)0I/1H 1 000052701ORMr [IHIH,44X,,"E490 - FTIS REGRESSION ANALYSISW/IIH 00005?80
7t.0 Fr)RMAT 119H NO. OF VARIASLES 13,34H4 NO. OF DEPENDENT VARIABOO0052901IFS ,13//22H NO. OF OBSERVATIONS 915//28H F LEVEL TO ENTER VARIAO0005300S3Lf- ,FlO.3,34H1 F LEVEL TO REMOVE VARIABLE vFIO.3flH I 00005410
F) f:C(RTM (12,12,FIO.4,F1O.4,5X,11) 0000532044) FORMAT (qH VARIABLE0I4,20H TRANSFORMED. TYPE,1411N 1 00005330
74S FnPRMT (9H VARIABLE,14,20H TRANSFORMED. TYPE*14,3Xion t FLAG'100005340X; THIS VARIABLE IS NOT CONSIDERED PART OF PROBLEM .19,11H I 00005i3i
710 f-0QMAT (IH 924HTRANSFORMEO DATA VALUES./fIXtOBSERVATION / FTIS FI000053&OIlF %(I.") 00005370
74o F-ORMAT 144HCOMPUTED GO TO INDEX OUTSIDE ALLOWABLE RANlE) 00005380T')0 (OIRMAT (1|1 IW/6Ij1 000053901'410 fORMAl 1791 ,F10.50H VARII2,3H) I1H vFIO.5*5H VAR4,12,3H) 00005400
1 , ,1VI0.5,-SH VARI,12,33H) ,H I FIO.5,5H VAR(,12,3141 *IH ,F10.5,00005410?'H VAR(,I2,34) ) 00005420
135
-I
810 FORMAT (LHL/IX," MEAN STDo. DEV. VARIABLE 000054I nATA WORD t PHYS. PROP.*/) 000054
815 FORMAT (IHI/IX," MEAN STD. DEV. VARIABLE 000054i"/) 000054
819 FORMAT(9XFl0.4,4XEI2.4,7XI6) 000054820 FORMAT(9XFIO.4,4XE12.4,1XT6,16XI3) 000054821 FORMAT(9XFtO.4t4XE12.4,7XI6916X,6A4I 000054830 FORMAT 41H /47H SIMPLE CORRELATION COEFFICIENTS. fRON BY COL.)/IH 000055
11 0G0055840 FORMAT (IH } 000095150 FORMAT 91H FT.4,4H RI,12,IH,,12o&HI ,FT.4,4H RI,12tlH,12,tfHO00055
1) ,F7.4,4H R(,1291Hv,,2,6H) tF7o.4,H R(,12,IHqI2v6Hl 000055? F7.4#4H R(l12vlHvvl2r6H) ) 000059
860 FORMAT (IHI) 000059RI7 FORMAT (IH /14H TRIAL NUMBER 915/1H 1 000055871 FORMAT (IH /14H TRIAL NUMBER vl5t3Xt"FOR VARIABLE |0912,"I"IIH 3 000059880 FORMAT (23H VARIABLF GOING OUT = ,14/IH 1 0000558QO FORMAT (20H F LFVEL ,FIZ.4/IH 1 000056900 FORMAT (?3H VARIABLE GOING IN = 914/IH 1 000056
10 FORMAT (20H PURE CONST. B(C) - EIZ.411H 1 0000569?0 FORMAT (IX"COEFFICIENTS/II(IXEi2.4o, B5t,129*1 wvEI2.4,w Blwqi2,000056
1") "rFl2.4r" 6twI12,N) OvEI2o490 B10,129") 09E12.490 8109T29O000056
2")")) 000056930 FORMAT IIH /31H STANDARD ERROR OF COEFFICIENTS/f 000056
I(IXEIZ.4,7XF12.4,1XEI2.4,7XE12o4,TXEI2.41) OO00CE940 FORMAT (IH /28H STANDARD ERROR OF ESTIMATE 1iTH EI2.4/111H 1000056950 FORMAT (i1 //33H MULTIPLE CORRELATION COEFFICIENTT/7H 9Fi0.5000056
1/) 000051960 FllRMA1(IHItI9X,-ACTUAL VS. PREDICTED RESULTS FOR VARIABLE (N,12,")000051
I"//lX,"nRSERVATION",8BX, 000057?"ACTUAt PREDICTED DEVIATION "ii| 000091
970 FORMAT (17,F'0.4,5FI6.4IiH 1 0000519R( FORMAT(/iX,"MFAN = "F12.6,4X,"STD. OEV. = nF12.6,4X*"COEFFICIENTOO0051
I OF VARIATION = "vFIZ.61 0000511000 Fl-RMATlIX,-**** CONCLUSION NON-LINEAR REGRESSION MO9EL PROVIDES 00005i
tTHF REST FIT FOR VARIABLE (0,129") **I,**S*******************00O***I OOOOSEIOlotJOR4AT(lX,"**** CONCLUSION lINEAR REGRESSION MWEL PROVIDES THE O0005F
IT FIT FOR THIS VARIABLE. **Ul,*S***********005I 0000SF1500 CONTINUE 000050
RETURN 00005fFND 01005F
136
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APPENDIX B
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