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. Journal for the Users of the Burroughs 6700 Number: 4, 1974 November Contents: From the editor page Technical Contributions A.D. Causer, Interfacing non standard peripherals to a B6700 through a DEC PDP 11 minicomputer J. Levin, A presentation of Parallel Processing J. Pikner, Allocation of B6700 costs to users at the Federal Reserve Bank of New York 39 Mailing list 48

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Page 1: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

.

Journal for the Users of the Burroughs 6700

Number: 4, 1974 November

Contents:

From the editor page

Technical Contributions

A.D. Causer, Interfacing non standard

peripherals to a B6700 through a

DEC PDP 11 minicomputer

J. Levin, A presentation of Parallel

Processing

J. Pikner, Allocation of B6700 costs

to users at the Federal Reserve Bank

of New York 39

Mailing list 48

Page 2: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

Jl'M700, number 4,1974 November

Editor

Harry P.J.:!. Roume:t

Eindhoven University of Technology

Conpu~ing Centre

P. O.10X 513

Eindhoven, ~etherlands

Secretary

Miss Tiny Fransen

Eindhoven University of Technology

Compu ':ing Centre

P.O. Box 513

Eindhoven, Netherlands

JUE.6700 is an informal irregulary appearing pUblication for the users

of the Burroughs 6700, for the time being edited at the Computing Centre

of Eindhoven University of Technology.

The contents of JUB6700 will mainly consist of technical papers; contri­

butions cO JUB6700 may be sent to the editor. Where possible the papers

should bl:! typed and camera-ready.

Hithout eharge two copies are sent to the "manager" of each B6700-

installation and also to some Burroughs-representatives.

~~tters pertaining the mailing list should be sent to the secretary.

Page 3: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

JUB

From the editor.

This fourth number of JUB6700 is later than I scheduled, because

I ",'anted to wait till after the meetings of CUBE and ABCU.

In those meetings is spoken about JUB~ also with r~ference to the

letter that I seni you with the text of a resolution; I have got

the in1prE~ssion that the 6700-usergr<:>ups in general are happy with

JUB.

At the~ same time Burroughs has shown interest and has given strong

indications that the corporation will support the journal; on this

mortent: JUB is a subject of discussiol1 between Burroughs, some users

and me.

During the last CUBE-meeting it appeared that Joe Rosinski was wil­

ling to act as JUB-contactperson, representing the 6700-subgroup of

CUBE, and that Douglas Johnson will take care of periodic publications

in JUB about the CUBE-library.

I hope that in BeUA there can also be found a co-editor.

The aedress of J.F. Rosinski is

Michigan Bell (room W-162)

23500. Northwestern Highway

Southfield (Michigan) 48075

U.S.A.

It is my impression and also the impression of a number-of users that

the discussion in the 6700-subgroups could be improved, if presentations,

from users as well as from Burroughs-representatives, are pre-published

in JUB.

Page 4: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

Interfac.ingnon stamiar:dp:eripherals ;1:;:0 aB67.DO thr,ough a

DEC PDP 1 1 mi.nicompu'te.r

by A. D • Causer

(Uni versityn£ Ganterb:u1;'y.,{;ompu:terOentr:e, N ewZealarui).

JUB 4-2

This article des crihe s the ha'l'dwaresI'ltis:or'tware usecl toat,tach

various remote and central site 'Fedph:era~'S ,and interactive terminals

tothE~B6700 syst.em,a.t th:elim'll'er:sl::tyo:f ,Can,tetbury.. PDrll minicomputers

have provided conV'enient,poW'erfu~le:ndch:eap interfaces both hardware

and soft.vare 'to a varie'ty 'Of 'l'eri:ptrerail'S.

I. Hardware

Currently we have one PDP 11 /lOc;('uttrolliQ;& sprinter I card reader

as aremoteJdbEntrys;.tation.,wi"tha's;:econdsachsys.t:em due ,to

be instal1edshort.~y, amonePIIPl\ f20control1in:ginteractive

terminals,drump"l.otter" 'papel"tape:read:er /punch and card reader.

Both E!!:xistingPDPFJ 's havesuff,icient memo.ry and CPU power to

allow installation of further 'peripherals and/or terminals as

required.

Specifications:

RJE s ys t.em :

PDPll /rOwith8K W'ordsmemol'Y

Telety.pe

Hewlett Packard RP7261A JoO c:pmoornreaaer /mark sense card

reader

S TATOS 31 1000 ·lpmel:e:ctro,staticpx.!n:ter /1'10 t.ter

PDP 11 /20 system:

I PDP Ll/20with i2K 'word.s .mem.ol:Y

3 DECWRITER 30 c1'mhard. copy terminals

6 DEC VT05 'scre:ente.rminals

1 CDC71) .screenterunal

Calcomp 56511 "drump1.otter

DEC CRI1 30.0c:pmcardre:ader

FACIT 1 OOOcpspa:pert~pe 'read.e:r

FACTT 70 .cpspap.ertapepunch

Page 5: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

JUB 4-3

Each PDP]l is attached to the B6700 via a 9600 baud data

communication line and a line adapter. Terminals at distances

up to a mile have 2 locally developed line drivers on the lines

connecting them to the PDPll, and thOse over a mile away use modems.

The RJE system, being about a mile from the central: site, also

requires two line drivers.

2. Software , '

Standard B6700 RJE is used for the RJE system, and CANDE for the

interactive terminals. A specially written MCS called PDPMCS

han,dles paper tape I/O and plotter messages. This same MCS '!.-rill

also he E:nlarged to handle mark sense card input from the RJE

station; the card reader there appears to be two separate devices

as far as the B6700 is concerned. All information is transmitted

between PDF11 f sand B6700 as messages; normal1y being single lines

for the terminals, or 80 x 8 bit character blocks for pa.per tape

and plotter. The PDP} I systems each contain an idle loop program,

a backgr()Und program, and various interrupt driven device handling

routines., In the PDPll/20 the background drives the Calcomp plotter.

In the ~rE system it drives the STATOS 31 printer. Addition of

a new type of paripheral to the system requires:

(a)

(b)

(c)

an addition to the NDL network description

an addition to PDPMCS if the peripheral loS not to be supported

by CANDE or RJE

addition of a device handling subroutine and device data area

tel the PDP11 system; the subroutine may comprise 6 instructions

only if it is for another terminal of an existing type.

2. J. Functions carried out by the PDP! 1 systems

For interactive terminals, character input is accepted until a

complete line is ready. At any stage during input this line may

be edited without recourse to the B6700 (appendix I). When ready

it is transmitted to the B6700. Output from the B6700 is received

line at a time and will be sent to the terminal.

Page 6: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

JUB 4-4

OnE~ DEGWRITf;R on the 11/20 functicms as a. CA:NDE tog s.tation

and also a:1.10ws theoperat(lt' tn contt:o! th~p.lo.tter ,., paper

tape I/O and. card reader.

Pape'r tape is read in aDS btt cna't'!ac:teT:ElacJ~s: and sent to

the B:6700. Reading is initiated after the ap:era.tar types a user­

code and filename und'6't' which the inputfsta tJe stored on disk

in the B6700. Multi-tape files 411tea.Uawe.d .• Optiona:llyto blank

tape callmms 'w.ay be i.gno11ted. ":Paper- .trape mrt:put" is also handled

in 80 cha.r.acterblocks. For the -gllitter"inr..o:rlllation comprising

the checked param:e:terst.o the p:rot:.ting·subrou.tines (appendix 2)

called by the user are passed to the PDP!] i1.'); 80 character blocks.

The PDP I 1 performs dl the c'ompu,t:;:a;..tticm. ne:ceSisary to -expand thes e

param~!ter values to act:t+.al.p;J:a:tt::m:: c:on.t:):':Ql digihS;. Opt;ionally

the pl.ottermeSiSa~es may he ot:r,t:p:'la:4!:d:~ct,;ty to pap.er tape, from

which they may later be plotted. wh,:iCle-the. PD1:l1 r is' on or off line

to the B6700. The C-onlput:ex:. c.eutte· IBM 360./44 can punch the same

plotting messages on. punched car:ds~ ftmn which they-maybe x:ead

by the PDPll. On either sys.tent any actual device may be allocated

by the operator to anyone of aeve:ral virtual devices, for instance

the HP card reader may appear to the. B:ti700as anAS:CII reading RJE

card reader,. or as a 16:0 x 6 bit cha.ract:e't'mark sense device .•

HerIlory used .is approximately4K wox:ds in the RJE sys tem and

9K in the PDP 1 1/20.

2. 2. Remo tE~ hl.quiry statian

Lines typed· on any1ll.t:"ti'!.aI:.rivef!:ezm:&na'1:~ybe directed to

PDP'MCS instead of CANl1E if the. user pt:ef.ixes the line wi th a

special control ciuu!a:ctte'r .nn.t;:~ly U$5 by CANDE .. All such

messages appear. to come· frnma. sd~ng:la· l"ps:-elldo,II terminal as far

as the DCP is concernat,. V.athL~t comprises commands tb

PDPMCS Wli:th catI~.e· ittog~thtt systems:tatus:infomation and

return this to the "pseudo" terminal. The PDPII then directs

the ou tpu t to the actual termimrl f:rOlU which the command

originated.

Page 7: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

2.3. Functions of PDPMCS

Initially all user paper tape or plotter output is to disk.

Such files have their names entered in a directory used by

F'DPHCS and are subsequently found and sent to the PDPlI by

PDPHCS. Each paper tape input file is stored on disk for

subsequent use by a user program.

3. Advantages 0+ the system

One of the fundamental advantages is the ease with which a new

peripheral can be interfaced with hardware and software to the

PDPI!. quite independently of B6700 operations and software.

JUB 4-5

This has allowed us to choose the peripherals or terminals that

most suited our needs, and to take easy advantage of price

competition between different manufacturers. A substantial

ame-unt of computation is handled by the PDP!! systems, giving

for e~(ample instant responses to single character input on a

terminal. Also plotting, ',hich uses much elapsed time, can be

handled as an off-line activity if necessary, and thus can

continue at times when the B6700 is not available. This IT.ode of

operation proved to be essential while the B6700 had only SOK

words of memory, and thus could not easily support data communica­

tions software in the mix for long periods of time.

,-lith mass storage devices attached to the PDP11 systems they

could provide useful independent systems for such purposes as

running smaller interactive tasks, file preparation and editing

etc.

Page 8: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

APPENDIX 1

VTOS OPERATION

JUB 4-6

The V~OS is used to send messages to the B6700 CANDE system or to

thE! PDPll log. The latter facility is provided so t;hat in the

eVE!nt of the B6700 going down terminal users can still communicate

with the machine room from a remote terminal. A message is defined

as from 1 to 72 characters (one line on the VTOS screen). All upper

and lower case characters are accepted and stored in the input

buffer, ivhich is 72 characters long. Input always takes place at

the current cursor position. The following special functions are

implemented. All other control characters and RUB-OUT are ignored.

The. LOCK key must be pressed to enable EOL and EOS to work.

Character

LF

CNTRL S

CNTRL Q

CNTRL R

EOl

Visible Action on Screen

Cursor return and line feed

The address character of

the VTOS is echoed.

None

None

The current line is erased

and the cursor returned to

the left end of the line.

Action on Input

Send message in buffer to

B6700 (or log).

As the first character of a

message, directs the message

to the log. The address

character of the VTQS ~s

s tared as inpu t.

Pause the output from. the B6700.

Re-start output from the B6700.

The current line of input is

re-initialised, but note that

the actual buffer contents

remain unchanged. i.e. they

can be duplicated onto a new line.

Page 9: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

Cha.racter

CR

EOS

JUB 4-7

I Visible Action on Screen Action on Input

The cursor moves up one line None

The cursor is moved down a No action. Note + followed

line.

The cursor is returned to

the left end of the input

line.

The cursor moves to the

top left corner of the

screen and the screen

contents are erased.

Echo contents of input

buffer at cursor position

Move the cursor left

one space

by EOLenables the user to see

the line he has just re­

initialised.

None

Any message in the process of being

input re-initialised.

None, unless the cursor is

moved beyond the end of the

characters so far input for

this line, lvhen the character

count for the message is

incremented. The current

buffer contents remain un­

changed. Thus -+ can be used

to duplicate the previous line

of input, provided the user

has done nothing to disturb

the buffer contents since the

.previous line was stored.

None

Page 10: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

Character

CNTRL D

TAB

ALT

HOME

Note

Visible Action on Screen

The resulting new line

is echoed. The cursor posi­

tion is unchanged.

The cursor is moved to

the next TAB position and

blanks are echoed for the

spaces moved over.

As for TAB but echo

JUB 4-8

Action on Input

A space is inserted in the

line at the current cursor

position. If the line is

already full the last

character on the line is lost.

Blanks are placed in the input

buffer up to the next TAB

position. TAB positions are

at positions 1, 9, 17,25,

33,41, 49,57 and 65 to 72

inclusive.

Move cursor to next TAB

contents of input buffer. position. No effect on input

Thus may be used to duplica- buffer unless cursor position

te characters up to the moves beyond current input

next TAB position. count, then see notes for +

The cursor is moved to

the left of the top line

of the screen.

None

When a line is re-initialised, the input character count is returned

to zero; the characters currently in the buffer are unchanged but

may only be used for duplicating into a new message, and not for

transmission as a message themselves.

Note 2

Local editing of CANDE files using screen terminals:

If CNTRL T is typed, the second to last line sent by CANDE to the

terminal is reproduced in the input buffer, with the first blank

removed. This line can then be edited as input and sent back to the B6700.

Page 11: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

To edit line 200 of a workfile, for example, type

L200

JUB 4-9

CAKDE thEm lis ts Line 200, following this with a # on the next

line. CNTRL T will then list line 200, deleting the first blank

and leaving the cursor in the leftmost position. When CANDE lists,

it inserts a ~pace immediately after the sequence number; CNTRL T

remOVE~S this space so the line lis ted by CNTRL T agrees with the

workfile contents.

Note 3

Use of a terminal as a remote enquiry station. Messages commencing

with CNTRL F are directed to a remote enquiry program in the 86700.

The format of such messages is CNTRL F code/usercode.

I.JhE:re code is as given below:

C the system responds with a list of completed tasks

for the usercode.

A a list of the active tasks for the usercode

J a list of the job structure for each job under the

usercode

S a list of scheduled tasks for the usercode

iJ a list of waiting tasks for the usercode

CU Core usage for active tasks under the usercode

T! Process time for active tasks under the usercode

SQn A list of jobs in queue n for the usercode

Page 12: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

JUB 4-10

APPENDIX 2

PLOTA PLOTTING SUBROUTINES FOR THE B6700

1. General notes

The:se subroutines (referred to under the collective title PLaTA),

when called provide output which may be used by the PDP)l system

to produce graphical output an theX';';'Y 1'1et'ter. They may be

called from a FORTRAN or ALGOL program in the usual way, and the

usual FORTRAN convention determines the typ'e of the arguments.

No single plot may exceed 204.74" in length (X) or 10.90" in

heigh t: (Y).

2. Sequence of call statements

AINIT must be the first ca1l fdr a plot, and AEND the last. Both

are essential. Any other calls arte optional. ATJtynumber may be

present, and in any order. Any number of plot:s may be produced

from a single task.

3. Definition of origin

The origin is initially defined as the bottom left hand corner

of the plot, referred to as the paper origin. It may be redefined

anywhere by calling AORIG. All subroutines excep.t AORIG will use

the origin most recently defined. The arguments of AORIG itself

will always be measured from the origillal paper origin.

4. Restrictions on arguments

The user may deduce the restriction's on argument values from the

description of the individual r'outines. Uriless otherwise stated,

however, integer arguments must lie in the range -20479 to 20479.

5. Output

Output for each plot is 'a disk file with title of the :form

PLOTATOPDPIlFILE/Tdddddttttttttttt

wht;~re ddddd is the Julian date and ttttttttttt the time in units of

2.4 microseconds of the call to AIN'IT.

Page 13: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

JUB 4-1)

Hence each plot will be to a um.que file, and its title will

be printed on FILE6. Such files will automatically be plotted

onee. Th,:y may be saved on tape after the job by including

thE~ statement

COpy PLOTATOPDPIIFILE/= TO tapename

6. Operator instructions

ThE~se may be included by using one or more calls to ATYPE.

Th€~ PDP1! will wait after typing the message, and will continue

after th,~ operator has typed RETURN on the PDP11 teletypewriter.

The PDPII will not wait after a call to ATYPEG.

7. VolumE~ of output

This TIlay be calculated from the following formulae, each giving

the. number of 8 bit characters output to the PDPI1 as the

result of a call.

AINIT 80

AEND

AORIG No punched output

ATYPE, ATYPEG + number of characters

ALAB 7 + number of characters

ABOX 14

AGRID 13

ASCA 17

ALINE, DALINE 5 + 4 * (number of points)

ALINEC 8 + 4 * (number of points)

ALI NED 7 + 4 * (number of points)

ALINEX 7 + 2 * (number of points)

Page 14: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

JUB 4-12

8. ~tting calls

a. CALL AINIT(LENGTH)

This must be the first ca11 for a plot, and must be made only

once for each plot. After this ca11 the plot wi11 be considered

to extend from x=o to X=LENGTH, where LENGTH is in 1/100". In

the y direction the paper width is 1 O~ 90 11• LENGTH must lie in

the range 1-20479. The USers project code and the date on which

the job was run will be plotted, and a first alignment box will

be drawn as shown below.

origin

A I I

10!90" I

~_......:.1_" __ )~ IE( __ --=L .... E:l:l,NG2..TH ...... ____ -3Io )1

b. CALL AEND

x)

This call 1.S used to end a plot. A second alignment box wi11

be drawn on top of the one drawn at the start of the plot.

If these boxes do not coincide, .the· plot will be rerun on

request, free of charge. The pen will then move to three

inches beyond the end of the plot, ready to start a new plot.

c. CALL AORIG(IX,IY)

This subroutine defines the point (IX,.IY) as an origin for

future plotting calls. (IX,IY) are the coordinates of the

new' origin measured in 1/100" from the paper origin. The origin

may be redefined any number of times during a plot. It is set

to the paper ori!?;in by any call to AINIT.

Page 15: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

JUB 4-13

d. CALL ABOX(IX,IY,NX,NY,IXINC,IYINC,NTHICK)

This call draws a plain box or a box with ticks.

(IX,IY) are the coordinates of the bottom left hand corner of the

box, measured in 1/100"

NX is thE~ number of divisions of the box in the x direction.

NY is the number of divisions of the box In the y direction.

IXINC 1.S the length of each division in the x direction, in 1/100".

IYINC is the length of each division in the y direction, in 1/100".

NTHICK is the line thickness of the outer line of the box, in 1/100".

If NX=NY==I, a plain box IXINC long and IYINC high will be drawn

A I I I

I IYINC

I I- -IT\

I I IYINC V I I \V <- - -- - - -- -- ~ (-~ IXINC

NX=NY=I IXINC NX= 3.NY = 2

e. CALL AGRID(IX,IY,NX,NY,IXINC,IYINC)

This call draws a complete grid. The arguments are as defined

for ABOX.

"" " " .,

! IYINC

IXINC

NX = 4

NY = 3

Page 16: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

JUB 4-14

f. CALL ASCA(IX,IY,IXINC,IYINC,ILO,INC,N,IHIGH,IDIREC)

This call will plot a scale of integer number~, each of which must

be in the range -9999 to 9999.

(IX,IY) are the coordinates of the bottom left hand corner. of the ,., '

firs t scale number, in 1/ 100". The bo~t()Ill.",lett;.ha!').,d corner,. is

found by allowing 5 characters (the first few:.Ill.a"y he. plq.tted as , .... ",. . , ..•. , ,-J ;-,:\_.' . ---' ,' •. '.

blanks) for each number; and reading" the fir~.~ . scale number from

the appropriate viewing direction •.

o o o -I <

f2 'bottom left hand .comers' of a scale

number

IXINC,IYINC are the horizontal eX) and vertical (Y) distances

between successive scale numbers, in 1/100".

ILO is the value of the first scale number

INC is the increment (positive or negative) betwecsn. scale number.s

N is the number of scale numbers

IHIGH is the character size in 1/10" (I to 73)

IDIREC is the direction of writing for each scale number. (0-7) as

defined in ALAB)

y

o 000 000 o IJ"'l IJ"'l - I I

(IX, IY)" .-.

IDIREC = 4

lYINC = 0

ItO = -1000

INC == 500

N = 4

Y

X

(IX,IY)

IDlREr .... 2

IXINC .. 'i" 0

3

2

ILO ==

INC == 1

N = 3

X

Page 17: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

JUB 4""'15

g. CALL ALAB(IX,IY,ALABEL,N,IHIGH,IDlREC)

This c:all will plot a label of characters; (IX,IY) are the coordinates,

in 1/100" of the bottom left hand corner of the first character of the

label, as viewed from the correct reading position.

AU,BEt is a string of N consecutive characters in core, stored in an

array. The characters may be placed into memory in two ways.

I. By data initialisation

DIMENSION AtABEL (3)

DATA ALABEt/'THIS~~lS~~A~~LABEL'/

2. By reading the characters in A6 format

D!MENSION ALABEL (3)

READ (5, 100) ALABEL

1 00 FORMAT (3A6)

data card THIS~~IS~~A~~LABEL in column I to 18

A liSl: of valid characters is provided below. Alternative forms exist for

each character. To obtain the alternative form, place a $ before and

after the characters for which this form is desired. These extra characters

($) are not plotted, but are included in the value of N. A $ is not needed

if it would be the last character of a label.

LABEL N Characters plotted

$p I 2

ABC$DE$GH 9 ABCdeGH

N is the number ot characters in the label

IHIGH is the character size in 1/10" (1 to 73). All characters·are of

equal width to their height. Characters plotted in directions

1,3,5 or 7 will be 1.4 times as large as specified.

IDIREC is the direction of writing, from a to 7.

ABC

~--------~------~------------------------~--------------------+x IDIREC=O 2 3 4 6 6 7

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JUB 4-16

Character CharacterPI.otted Character CharacterPloned

Punched Normal Alternative Punched Normal Alternative

blank blank blank N N

S 0 0 ) ) a: P P + + () Q Q

* * n R R

- - (I S S / / if; T T • • :! U U ( ( r V V = = n A A J B B -

W W X X y y

C C {" Z Z 0 0 d 0 0 E E e 1 1

F F IL 2 2 G G 9 3 3 H H 0 4 4 I I '\l 5 5 J J a 6 6 k k % 7 7 L L (J M M

"

8 8 9 9

h. CALL ALlNE(X,Y,N,XOR,YOR,XSCALE,YSCALE)

This call will plot line segments between the points with co-ordinates

(X(1),Y(1)),(X(2),Y(2)) ••••• (X(N),Y(N))

, /

b..

0 jJ.

& t

> 2:

< x y :S + <> I X

X and Y are vectors of X and Y co-ordinates, each of dimension at least N

N is the number of points

XOR is the value X would take for a point at the origin

YOR is the value Y would take for a point at the origin

(such a point need not in fact be one of those plotted; it is a

hypothetical point)

XSCALE is the number of units of X per inch

YSCALE is the number of units of Yper inch

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JUB 4-17

i. CALL ALlNED(X,Y,N,XOR,YOR,XSCALE,YSCAtE,NtINE,NGAP)

This call is similar to ALINE, but a dashed line is drawn.

NLINE is the length of each dash, in 1/100" (1 to 73) NGAP is

the length of the gap between dashes, in 1/100" (I to 73).

j. CALL ALlNEX(IXINIT.IXINC,Y,NtYOR,YSCALE)

This call plo~s lines with a constant X increment between points.

rXINIT is the X coordinate of the first point, in 1/100"

IXINC is the X increment between successive points, in 1/100",

positive or negative.

Y, N, YOR and YSCALE are as defined in ALINE.

k. CALL ALINEC(X,Y,N,XOR,YOR,XSCALE,YSCALE,CHAR,NXOFF,NYOFF,IHtGH,

IDIREC)

This call will draw a specified character at each point determined

by the vectors X and Y. YOR,X,Y,N,XOR,XSCALE and YSCALE

are as defined in ALINE. CHAR contains the character to be plotted,

or $ character if the alternative form is desired. It may be

initia1ised as in the example below.

nATA CHAR/'A~~~~~'/or DATA CHAR/'$A~~~~'/

NXOFF, NYOFF are the X and Y offsets from each point to the bottom

left hand corner (as defined inALAB) of the character to be

drawn.

lataH and IDlREC are as defined in ALAB.

1. CALL ATYPE (ALABEL,N)

This call types a message on the PDPlI teleprinter, and then waits

for the operator to reply before allowing the plot to continue.

The message is contained in ALABEL

ALABEL and N are defined as the ALAB, but alternative forms of

charactel~s are not permitted. N must lie in the range 1 to 1440.

m. CALL ATYPEG (ALAREL,N)

This call is identical to ATYPE, but after typing the message

there is no halt in plotting.

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JUB 4-18

9. Use. with .ALGOL programs

1. ALGOL arrays passed to routines ALINE, ALlNEl:, ALINED and.

ALINEX must have a lower bound of. zero

2. ALGOL main programs must have appropriate external de.clarations

for the plotting subroutines c.alled. Procedures must have

appropria.te global forward d,eclara.t.ions. A complete set of

external declarations may be generated by inclusion of. the

stat.ement

$ INCLIJDE "PLOTA/EXTLDECLS"

Global forward declarations may be generated by placing the

fo 1lmying s ta temen ts immediately before the PROCEDURE

declaration.

[

$ INCLUDE "PLOTA/FORWDECLS It

]

10. Bir!di~

ThE~ plotting procedures can be bound by including the statements

$ SET SEPARATE AUTO.BIND

$ BIND=FROM PLOTA/=

in the m;ain program before any other sourc:e sta·tements.

II. Error messages

Error messag.es are output t.o FILE6.; hence the user sho.uld have

FILE6 declared as a printer f He in his main program. In FORTRAN

any WRITE (6, ••• ) statemen.t will accomplish this. Error mess.ages

have the form PLOT ERROR CODE NN, ,...:her.e NN is a two digi t number

indicathlg an error as listed below. Unless otherwise specifi.ed,

an error results in the CALL statement being. ignored. The task

will be terminated after 10'0 error messages.

Code Subroutine Called

AINIT

3 any

Meaning

LENG.TH is less than 1 or greater than

20479

Plotting calls are made other than

between an AINIT - AEND pair

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Code Subroutine Called

5 ALAB

6 ALAB

7 ALAB

8 ALAB

9 ALAB

11 ATYPE or A'l'YPEG

I 2 ATYPli! or ATYP£G

14 ASCA

15 MCA

16 ASeA

11 MCA

18 ASeA

19 ASCA

JUB 4-19

Meaning

IDlREC is less than 0 or greater than

7

talGH is less than 0 or greater than

73

N is less than 0 or greater than 2047

The first character is off plot (call

ignored)

the last one or more characters are off

plot, in which case only those on plot

are plotted

A l~bel contains invalid characters.

These will be plotted as blanks.

N is less than 0 or greater than 1440

A label contains invalid characters.

These will be typed as blanks

IHlGH is less than one or greater than

73

IDlREC is less than 0 or greater than

7

the last one or more scale numbers are

off plot; only those on plot will be

plotted

or the first scale is off plot (all

ignored)

N is less than 0 br greater than 20479

Ito is less than -9999 or greater than

9999

INC is less than -20479 or greater

than 20479

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Code Subroutine Called

20 ASCA

23 ABOX

24 ACRID or ABOX

25 ALIl:I.'E, ALINED,

DALINE

26 ALINE,ALINED,

DALINE

27 ALINE, ALIMED,

DALINE

29 ALINE, ALI NED ,

DALINE

:30 ALINEX

31 ALINEX

32 ALINEX

33 ALINEX

34 ALINEX

37 ALlNEX

JUB 4-20

Meaning

The last scale number would be less

than ...;,9999 or greater than 9999

NTHICK is less~than on.e or greater than

20

NTHICK lsset to one

The grid or box is not completely on

plot

XSCAL=O

YSCA1=O

A point is oxf plot. It will be plotted

at the nearest point on plot. The call

will be terminated after 25 such points.

N is less than 0

N is less than 0

The first point is off plot

IXINC is les\s than -20479 or greater

than 20479

The last one or more points are off plot.

Only those on plot will be plotted

A point is off plot in the y direction.

Itwillbeplo.tted at the nea::est point

on plot. The .call will be terminated

after.25 such points.

YSCAL=O

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Code Subroutine

41 ALINEC

42 ALINEC

L.3 ALINEC

£14 ALINEC

46 ALINEC

47 ALINEC

51 ALINED

52 ALINED

99

Called

JUB 4-21

Meaning

Illegal character in CHA-~

IHIGH is less than one or greater than 73

IDlREC is less than O'or greater than 7

N is less than 0

XSCAL • 0 or YSCAL = 0

A character is off plot. The call is

tet'minated

NCAP not in range 1 - 73

NLINE not in range 1 - 73

More than 100 error messages generated.

The job step will be terminated.

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A Presentation of Parallel Pro.c:essing

by J. Levin

JUB 4-22

(Consultant on Application eSof.twar:e fo.r the Eindhoven University

of Technology).

Abstract:

This paper illustrates the us·e of multitasking to speed up the

execution .of a program, written in Exte:tlded Algo.l, and intended

to run alone, in block-computer-time, on.a multiprocessor system.

To illustrate these concepts, we have chosen an example on weather

forecasting, in order to show that multitasking can be used

a. in it.E~rative processes, where several processors can be

synchronized to update, in parallel, the same array;

b. in the computation of the right hand sides of the differential

equations, wh-ere s.everal proc:essors may share the computation.

1. The Model.

We are going to explain how to implement parallel processing,

illustrating with snapshots the synchronization between processors.

The following example has been chosen because it shows how

several processors can work simu1.tarreously on the same iterative

process.

I. I. The mathematical formulation.

ive will consider the time evolution of a portion of the

atmosphere over the nex.t 36 hours. The first step is to have

.:1. good and simple model. In this madel, the atmosphere is

schematized as being made of 3 layers.

The second step is to writ'e the mathematical equations of

the model. These equations are a pre.cise way of expressing

the laws governing the model. Rere we consider the functions:

Zl = Z(300),ZM == Z(500), Z0 = Z(850)

which represent the level surfaces of constant pressure,

respectively 300, 500 and 850 mb.

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JUB 4-23

Figure

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For conveniency, we define the field functions:

PI I == G*(Zl-ZH)/F·0

PH == G*ZM!F0

POI.: G*(ZM-Z0)!F0

JUB 4-24

whelre G == 98t cgs and F0 is related to the Coriolis parameter.

The relations between theB'e Eieldfunc:t:ions (field because

they depend upon a continuous sp,ac.epo:sition) is shown in

fig. 2a.

The third step is to .get thes.eequatio.ns in .discretized

form, the only form.that a .corrrrut:er knows how to handle.

The space is divided using grid .points and field functions POI,

PM and PIt become arrays (the.program llses 32 x 25 dimension

arrays) .• See fiR. I.

As shown on fig. 2b, each type of equation gives rise to a

procedure call: Procedures PITTERATION (for POISSON

ITERATION) and HITTERATION (for HELMHOr;TZ ITERATION)

respectively handle both types .of differential equations

in equa tions ].

Procedure Haas handles the Taylor expansion expressed in

equations 2.

The last step is to write the prograIlL,which, when executed,

will lead to results o.f significance to the study of our

model. The structure of the .main program is shown helow,

on fig. 3a, b, and the way executio.n isp:erformed by one

processor is shown on fig,. 3e.

On this last drawing., execution of an .iterative process

(POISSON or HELMHOLTZ) is marked by adcublearrow, a single

arrow meaning execution in the main prc\gram.

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JUB 4-25

Computation of the Forces

. .........-'~

Equations I ----- -~ "\ ... ,*",,,,,,.-~

'Poisson iteration procedure 1.1

1.2

\.1

1.4

1..5

1.6

__ -- ;IV' 2 -- - .;#/11

'V (dpn) == FI ..- .. ~ 2 .(!/Jt I II

(,v -aoa) dpol + aol x dpIl := F'2 = a05 x dpn + F2' }

2 /// =;=:::',=.==1 ...... He lmho 1 tz (v -ala) dplI + al t x dpol ... P'3 == al5 x dpn + F3 II 2 //U

V (dpm) = F'4 :!: ao x dpol + at x dpll + Ft+/ procedure

t·emp ... (84. 7xdpo 1-48. 3xdpn) x t 0-6 + F6 1f / dW == FIS = -13 x W x 10-4

x temp + FS,t

Equations 2

2. 1 pol(t+dt) = pol(t-dt) + :2 x dt )( dpol(t)

2.2 pll(t+dt) == pI 1 (t-de) + 2 x dt x dpll (t)

2.3 pm(t+dt) e pm(t-dt) + 2 x dt x dpm(t)

2.4 W(t+dt) == W(t-dt) + 2 x dt x dW(t)

Figure 2a

Mathematical equations

Figure 2

} =====t ....... 8

Figure 2b

Corresponding pro­

cedures

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JUB 4-26

1 .2. The Poisson i tera·tion procedure (PI'1'TE:lM.::r~ON).

Before going into the details of impleweotingpara.llel processing,

we give some de,t.ai 1s oJ}' the Po.i.~son I tera tionp'rpcedure,

see fig. 4.

The Helmholtz itera.tion pro~edtlct'~ is mo-re complex 8;1,'I.p.wiH notoe

shown. During exe.cution of ~thePois,s,0nit.e:ra;:!:.i:.Qnproc·e!i4:,re, a sub­

array A I of arr.ay A (we tliS,e he'!"!! fo'!' illust:ra:t;Lona o,(H;lple dimens ion

array A[i,jJ instead of the on,e dll\l'enS'i.pp,al .;Ir'!:'ay DPM[G] used in

the program) is updated. Thes,caMill$ of a:rray AI is Elene from left

to right .and to;p to ho.,tto.m.D:uring the scanI1i)'."!g, each element A[ i ,j ]

of thesuharray A I is update.d, using the v;alu.e;s of the neighbouring

elements ACi-l,j], A[i,j-l], A[i,j+IJ, A[i+l,JJ a:n9 A[i,jJ itself,

see fig. 5.

I . 3 • Remark: itwi.n b.e useful tonotiee, in the s;y~chroI\,;tza tion of the

prQcessors (paragraph IlI)t:hat . the ~o~ta·tion ofALi,j ] uses up""

dated elements A[i-l,j] and A[i~j ... IJ, ~pdated dUi7irig the same "s,canll,

while A[i+1 ,nand ACi,j+lJ Wer:e :updated in the preceeding scan only.

Procedures UainProgram

START: % Initia1.i.~ation

AGAIN: %.Time lo,op

.. 'PITTE:RATION (DPO 1.).;

II ... ~HI'1'TE:RA'IIQN;

PITTERATrON(F) ;

GO TO AGAIN;

Figure 3a Figure 3c

Comment: One task version. Since ,there i,sQP,lyop,e task, the "Master",

execution is shown by .astraigntline • .j,.goI.;lO;lear::row emphasizes

ex,ecution in .an l:terative l'r.oc.e.s'$ (P,oiS~onO'r :Rel;mholtz).

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PROCEDURE PITTERATI0N(F); AR~Y F[O];

BEGIN

DEJi'INE CC :: NN - 5#;

BB := (MM-3) x NN + 3;

1 DO % Poisson iteration loop

BEGIN

HAXlmJl1 :,.. 0;

I := 2 x NN + 3;

DO BEGIN

2 J := (G := I) + CC;

Ql := DPM[G-lj;

Q2 := DPM[G];

DO BEGIN

QI := OPMtG] := * -

JUB 4-27

K := (REAOtOCK(DPM[G+l],Q2) x 4 - DPH[G+NN] -

Ql ... DPMtG-NNJ - Q2 + F[G]) x L;

IF ADS (K) > MAXIMUM THEN MAXIMmf : = ADS (K) ;

END;

UNTIL G := G + 1 > J;

END;

UNTIL I := * + NN > BB;

END;

UNTIL ST + S := S + 1 G:EQ STEP OR HAXIMUM LEQ PEPS;

3 ENI);

Comment: Numbers 1, 2, 3 mark the place where the procedure

must be expanded in order to get full synchronization between

2 processors.

Figure 4

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A[i,j-l J ...........

-m

Scanning is from left to right and fro top to bottom

...

JUB 4-28

A[i-l,jJ A[i,j J \ -I'

\ / f.raY 0 \: I ~Ubarray) ~

~ I'\. A.' r-........ ..... I

:::-- :!II.. , ~ 1'- ........ t:::::. Il\

~ \ I ,

t:.. I \ I \

I \ I \

A[i+l,j] . A[i,j+l J

Figure 5

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JUB 4-29

II. Multitasking. (')

2.1. The Asynchrone process.

The idea is the following: We want to get 2 processors working

at the same time on the same iterative process, updating the

same array. In order to minimize the waiting time if both

processors did try to update the same array element, we

thought it would be wise to have one processor (the "Master")

scanning the array from left to right, the other processor

(the "Son") scanning the array from right to left, see fig. 6.

Les us study the main program again (fig. 3b).

In the time loop, we have to execute successively 3 iterative

processes, and the best efficiency will result if the "son"

assists the ''Master'' in each iterative process. In the

remainder of the program, only one .processor can perform the

computation, and ~e will suppose below that this is always

the job of the "Master".

Practically, the "son" executes in a procedure, the procedure

ASYNCHPROC, see fig. 7a, which is nearly a copy of the main

program, restricted to execution of the iterative processes , and updating the main array from right to left (using proce-

dures BACKWARD-POISSON and BACKWARD-HELMHOLTZ).

vIe have to be careful not to destroy the order of the

computation. This means that (i) the "son" must wait until

the IImaster" enters an iterative process in order to assist

him in the same iterative process, (ii) the "Master" will

not proceed in the main program before he and the "son" have

both exited from this iterative process.

We show on fig. Sa how events STARTHETASK and THETASKISIDLE

are used to achieve such a control between the two processors.

(') As a prerequisite to the understanding of this section,

we refer the reader to the book of E. I. Organik,

mentioned in reference 1.

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JIJB4-30

The exampl.e considers tha.t the "son" has finished first

in the first POISSON.iteration loop, in.theHELMHOLTZ

iteration loop the "'Master" finishes .first, in the second

POISSONitet::ation l:oop,.the"Son" .finishes .first.ag.ain,

see.fig. 8b.

Processor 1 (the ~1as ter \ .,.

, . . '" ,. ,

.~~ 1.._

Proces.sor 2 (11 S ) :t·e :on

..'J

•••

. ., " .--"

I( .Sub:array: -'AIL "

Figure 6

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PROCEDURE ASYNCHPROC;

BEGIN •••

WHILE TRUE DO

BEGIN

WAITANDRESET(STARTTHETASK);

CASE WHATWEAREDOING OF

BEGIN

GO ENDITALL;

BPITTERATION(DPOl);

...... =====::::;= BHITTERATION;

, BPITTERATION (F) ;

JUB 4-31

........... t=======~= END; -= SON;

CAUSE(THlTKSKISIOLE); % Signals

% son has finished.

END ETERNALLOOP;

ENDITALL:

END ASYNCHPROC;

Figure 7a

Comment: In multitasking, the "Son" is

eternally looping in the specially

designed Asynchproc procedure.

Figure 7

Figure 7b

Comment: A call on pro­

cedure Son is added to

provide with multitas­

king in the computation

of the Forces (par. III).

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START:

.. PROCESS ASYNCHPROC;

AGAIN:

WHATWEAREDOING := 1;

CAUSE(STARTTHETASK);

4F== PITTERATION (DPO 1 ) ;

1~AITANDRESET(THETASKISIDLE) ;

HHATWEAREDOING := 2;

CAUSE(STARTTHETASK);

= HITTE.RATION;

HAITANDRESET(THETASKISIDLE);

Figure 8a

WHATWEAREDOING :'= 3;

CAUSE (STARTTHETASK) ;

PITTERATION(F);

WAITANDRESET (THETASKISIDLE) ;

GO TO AGAIN;

Shows how to use events to

control the flow of execution

1n case of 2 processors.

Figure. 8

JUB 4-32

Master Son

1 I Main Prog. I

1 Poisson , I

r I Hain Prog. I

~ Helmholtz 1 I

I Main Prog. I I

! Poisson i r Main Prog.

Figure 8b

Execution by 2 processors.

Dashed lines mean the

processor is asleep. Process

in an it.erative loop is

marked by a doub Ie arrow.

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JUB 4-33

2.2. The printing.

The printing is considered as a separate task. In that way,

2 processors could be used with most efficiency, hy letting one

processor, the "!laster", control the flow in the main program,

the second processor, the "Son", doing the printing or assisting

the, "Haster" in an iterative loop. Event PRINTING-ALLOWED takes care

tha.t the pi:"inting stops when the "Master" enters an iterative loop

so thcLt the "Son" is free to assist him, and that the printing is

restarted automatically when the "Son" is idle.

2.3. Exe,cu don.

Although the improvements are quite appreciable, the results and

the, way to get them bring two remarks:

a. It is very important that the 2 tasks execute different copies

of the same procedure, usi~g as much as possible local

vat'iables. Since the two processors update the same array, it

is important that the side computations are done using distinct

variables, otherwise the most unforeseeable results will occur.

As a result, it is convenient to localize such variables at

the innest possible level.

b. The results, although exact within the given precision, were not

reproducible, which makes things rather difficult for testing

and not very attractive for demonstration. This difficulty was

solved and the solution is explained in the next paragraph.

The reason for this non reproducibility is related to our

remark 1.3.: In formula I, A[~,j] is computed using the updated

values of ACi-l ,jJ and A[i,j-l]. Now, Hith 2 processors, these

values depend upon the fact that the other processor tnay or may

not ha.ve updated also these values according to where the 2 pro­

cessors meet in the array.

Formula I

A[i,j] := * + L x (A[i+j] + A[i-l,j] + A[i,j+l] + A[i,j-l] - 4 x A[i,j] _ Fr i, jJ)

whE!re L is a constant and array F is a given array.

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JUB 4-34

III. Synchronization of 2 (or more) processors in an iterative process.

A necessary condition to get reproducible results is that the

2 processors (which are simultaneously executing in the same

iterative process) never update array elements of the same

row (in our example, arrays are 32 x 25).

I t means tha t:

a. They are now both scanning the array fr~m left to right

(or both from right to left).

b. Events MASTEVENT and SONEVENT will keep the 2 processors .apart

from each other, leaving at least one row between them, but

at most the number of rows of Subarray At minus I (20 in our

example). See fig. 9.

The events ~1ASTEVENT and SONEVENT are now included in procedures

PITTERATION and HITTERATION, which are modified and renamed

MPITTERATIONand HHITTERATION for the u11aster,t, SPITTERATION and

SHITTERATION for the "Son".

The corresponding modifications to fig. 4 are presented in fig. 10 a,b

where each number corresponds to an insertion of a part of the

program due to the modification explained above.

First Proce ~sor , At least one row in between t

/ Second Processor thla "Son".

" .. /

• ater " I

.. n'

"'" ( ..... subarray ) I--

A' -\

I 'V

Figure 9

r-r-~

I\t most n Y-1 . rows in bet­. een

Comment: Complete synchronization of two processors. Events keep the , two processors apart from each other (not to.o close, nor too far!), while they are now both scanning the array from left to right and top to bottom.

Page 37: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

PROCEDURE MPITTERATION;

1

2

FLAG := 1;

COUNTER 1 : '" COUNTER2 : == 0;

CRIT! := 2; CRIT2 := 11;

CRIT3 := 19; CRIT4 := 10;

COUNTE:RI : = * + J;

IF FLAG .. 1 THEN IF COUN'tERl > CRITZ

THEN BEGIN

]'LAG := 0;

CAUSE(MASTEVENT);

END ELSE ELSE

IF FLAG :: 2 THEN IF COUNTER] -

COUNTER2 > CRIT2 THEN

BEGIN

FLAG := 0;

CAUSE(MASTEVENT);

END;

IF COUNTERl - COUNTER2 > CRIT3 THEN

BEGIN

FLAG := 3;

tlTAITANDRESET (SONEVENT) ;

END;

1

2

JUB 4-35

PROCEDURE SPITTERATION

WAITANDRESET(MASTEVENT);

COUNTER2 := * + 1;

IF COUNTERl - COUNTER2 < CRIT!

THEN BEGIN

FLAG := 2;

WAITANDRESET (MASTEVENT) ;

END ;

IF FLAG = 3 THEN IF COUNTER! -

COUNTER2 < CRIT4 THEN

BEGIN

FLAG := OJ

CAUSE(SONEVENT);

END;

3 FLAG : = 0; CRITl : = e-} 000; CAUSE (MASTEVENT) ;3 FLAG : = 0; CRIT3 := 1000; CAUSE(SON­

EVENT);

Figure lOa

Comment: ~e "Master" executes now procedure HPITTERATION which is a modification of procedure PITTERA­TION; The numbers 1, 2. 3 refer to numbers 1, 2, 3 of fig. 4 marking the place "'here to insert the modifi­cations.

Figure 10

Figure lOb

Comment: The "Son" executes procedure SPITTERATION which is a modification of procedure PITTERATION; Notel other modification to be done: change in fig. 4 maximum to maximumt and interchange s and st.

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IV. Forcing.

The computation of the forces Fl, ••• F6 and their updated

values F'l, .•• F'6 is actually scattered in the time loop.

JUB 4-36

The computation of the forces can be done quite independantly

at thE~ beginning of the "wee.r" loop, although the computation

of thE~ updated values P'l , ••• F ' 6 should stay where it stands.

The advantage of collecting the Forces at the beginning of

the "Y7e.er" loop is that it becomes easy to get, for example',

the ''}1aster'' computing the first 3 forces, while the "son"

computes the 3 last forces.

In fact, some timing helped us to decide of the best repar­

tition of the computation of the forces between the "Haster"

and the "Son".

The practical implementation of parallel processing in the

computation of the forces is shown below in fig. Ila. \.Je make

the fo Howing remarks.

a. For clarity, we have omitted in fig. 11a the cause and

wait statement on STARTTHETASK and THETASKISIDLE

(seen on fig. 8).

On fig. 7b and lIb, we show how to introdu.ce events and a

call on procedure SON in order to get full parallel proces­

sing in the Forces.

b. The procedure Q(P,U) (not shown) is a switch between 51

partial computations on (32 x 25 dimension) array A'.

Parameter P is related to the size o,f subarray A', while

parameter U decides on the type of the computation. In order

to implement parallel processing in the forces, we had to

double the number of partial computations so that the.

"Master" and the "Son" now have their own set of variable·s.,

avoiding the difficulty mentioned in 2.3a.

c. Procedure Son is shown below on fig. 12.

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START:

HEE.R:

..... 111===========&===============: --:::::::;:;: Q(2,6);Q(3,7); Q(2,8); Q(3,9); %

Q(2,51); Q(3,14);

Q(2.,IO); Q(.3,7); Q(2,11); Q(3,12);

... ...: PITTERATION(DPOI);

Q(2,13); Q(3,14);

Q(l ,49);

Q(I,50);

HITTE'RATION;

Q(3,15);

PITTERATION(F);

Q(2,40); Q(3,41);

Q(3 ,45) ;

Q(3,39); Q(2,38);

Q(2,38); Q(3,44);

Figure lla

Comment: Procedure Q(P,U) is made

% F' 2

% F'3

% F6

%

% 11'5

% F'5

of a case statement with 51 entries

chosen by the '~alue of the second

parameter U. Tne value of P indicates

the size of su'barray At.

Figure II

4-37

AREDOING := 4;

(STARTTHETASK) ;

i',0fDRESET (THE­

lSLDLE) ;

ons to get

He 1 processing

the tation of

Fore:

Comment: The single arrows show the reordering of the compnt.? the

Forces. The double arrows attribute Forces F2, F6, FI to Procedure Son

while F5, F3, F4 remain in the main program.

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PROCEDURE SON;

BEGIN

Q(2,59); Q(3,60); Q(2,61); Q(3,62);

Q(2,69); Q(3,70);

Q(2,73); Q(3,74);

END;

Figure 12

JUB 4-38

% Computation of F2,

% " F6,

% " F1.

Procedure Son is specially designed so that the "Son" can share with

t.he "!faster" part of the computation of the Forces.

Ackno,",1ledgement:

The author would like to thank: Drs. L.C. Heijboer from the Dutch

Heteorological Institute, who provided the original example program,

but: also for his very stimulating discussions. The author also

ackno,",lledges the benefit of discussions with Hessrs. \~. Holdorp,

E. Nice and R. Vefferyes.

Reference:

I. Elliott I. Organik. Computer System Organization. The ACH Hono­

graph Series (February 1973).

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JUB 4-39

ALLOCATION OF B6700 COSTS TO USERS AT THE FEDERAL RESERVE BANK OF NEvI YORY...

by Henry J. Pikner

(Federal Reserve Bank of New York)

This paper describes a COmputer COst Allocation system (COCOA) which

charges Qut t~ the users the cost of a Burroughs 6700 installation,

in proportion to the volume of provided services. The installation

features multi·processing and multi-programming, on-line disk storage,

remote access supported by a variety of MCS-s (CANDE, RJE, special­

purpose ~fCS-s).

Fig~ 1 shows the COCOA internal structure and the main inputs and

outputs. In addition to the general overview of the system, the paper

pays special attention to teChniques used in solving some marginal problems.

1. INPUTS TO COCOA

- 'l'he set of SUMLOG files. Charges for jobs, tasks and data

communications sessions are based on the data found in the

SUMl.OGs.

- The disk directory. Charges for disk space are based on snap­

shots of disk directory.

- List of one-time charges and credits. One-time charges can

include rental of terminal equipment in exclusive use by one

project. fee for dedicated magnetic tapes and like charges.

- Man~Lgement directives. The directives can be direct input to

COCOA (e.g. requirements on rates, opening and closing project

accounts, authorization for charging against a particular account,

permission to charge by default), or they can be instructions

resulting in changed working habits by programmers and production

planners. Such management directives will be reflected in the

SUMLOG files and in the disk directory.

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,

MANAGE­

MENT

, ...-I-

00 ~

-t-fr:J1 ~ 1-,

.-i-

~ .tl

~I-

, ONE-TIME

CHARGES & CREDITS

.-L

~ E-:< 00 H ~

L---

DISK REFERENCE DATA BASE

(~Nm)

-.51-. -~

E-:< Z

~ ~ ~ ::4

~ j:Q

~ f:«

BILLING l..aJ POLICY 1"'1 ...---

~

~r ·.···FLA ..... T j...:l

II ~ II DSK~ DSK ~

, __ j_ _ I . .. (4 ... HOUl~S) ,it' ~ 4<l--~/lN' DISK ( ~ ,,' . ~ 0

____ X "

~ .. I:Il

H t:\

~

I 11 BILL PRD I ~ I -~

r I 17

SUMLOG

\, \\ COCOA

ENVIRONHENT[> I "4 COCOA INTERNAL STRUCTURR

I-(DAY)

.<1-s:Q o

"1 :J t JTS ~

ii:: '---

JTS L--""---'--' r-L. I t

-I1Pf ~.. BILL O~AILED

I-

COCOA INTERNAL STRUCTURE ~ COCOA <l ENVIRONMENT

Fig. 1. COCOA system

c... c:: tx:!

.I::-

Ik

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JUB 4-41

2. OUTPUTS FROM COCOA

are the following reports:

- BILL, printed at the end of a billing period (calendar month).

The BILL shows totals of products (proc. time, input-output time,

lines printed, cards read, cards punched, terminal connect time,

disk spac~ utilization) consumed by a project, and the applicable

total dollar costs. BILL also shows year-to-date totals and

projections for the full year.

- BILLING POLICY, printed once per month, or on request. It tells

the project manager what he can be currently charged for. The

individual instances of actual charging are not included here.

The BILLING POLICY gives the current status of what the COCOA

has been told by the project manager himself (or his predecessor)

over an extended period of time.

- DETAILED BILL, printed only on request. It lists individual instances

of jobs, tasks and sessions and their costs. The DETAILED BILL,

being voluminous and expensive to produce, is supposed to be used

only to substantiate charges, challenged by a project manager as

incorrect. It also could be used to help managers to evaluate

impact of changes in systems.

3. COCOA INTERNAL STRUCTURE f ,

The disk reference data base contains

- list of project accounts, their numbers (charge codes), names,

manager names and addresses;

- list of divisions, departments and their relation to projects;

- authorization tables, permitting a USERCODE to charge against a

PROJECT;

- default tables, allowing to charge by default (when proper charge

code 18 not present in the SUMLOG description of a job) to a

USE RCODE, or JOB/TASK name;

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JUB 4-42

- list of disk file names and charge codes which pay for them;

- current rates;

- amounts budgeted by divisions;

- other miscellaneous parameters;

History data accumulated over a period oftime,;are ca.rried on the

following files:

JTS contains one record for each job, task or session in one

month. The file is initialized at the beginning of each

month.

DSK contains one record for e.ach .charged disk file and day

in one month. The file is initialized at the beginning

of each month.

PHD contains one total record for each category of service

Programs

for each project. The record contains both the last month

figures, and the ye.ar-to-date tota.ls • The file is initialized

at the beginning of each year.

RATES ,written in ALGOL/POL, accepts a description of our installation's

inputs and outputs (written in a special English-like

language), converts it into a linear model, solves the

model, and outputs the solution as rates. Theprog'ram is

used once or twice a year.

REFUP ,written in ALGOL/POL, updates the disk reference data

base and lists the contents of the data base. The program

runs as needed.

LISTREF prints the BILLING POLICY report. It is used once a month,

or as needed.

DISKLOG takes snapshot measurements of resident disk files several

times a day, and updates the Ds!{ file. The method of measuring

the disk space is described later.

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J-UB 4-43

Put.LJOB analyzes full daily production as recorded by th~ ~1CP

in the SuMLOGs, builds Qne record per job. task 't session,

and idds It to the existing JTS file. ThE! terms "job'!

and "task" are used in exactly the same nieaning as the

MCP a.nd wFL use. The "slassion" is defined in COabA as

services provided to one remote stati~n over a p~tiod

of time, usually delimited by a pair of LOG-ON, tOGMOFF entries in tha SUMLOGs. The full definition of the tsrm "session" is given in rig_ 2.

1 2 3 4 5 6 7 Fig. 2. "t1

1-I"tI ,..,..,. COCOA definition of o r:: = o QJ 0 data communications ~J to .!"4

1-1 Q) t.!l .w session. -A 0 CIS

r:: ... ~

..... 0

m t-'j ~ Cf.l .w

..... r:: ~ "C 'd ,0 Q) tJ Q) r:: Q) ..... ..c til o .w to .w §

~ t) QJ to ?- QJ

f.I Q) 4-1 ~ !l s ..... t.!l fr to 0 . .,. .w o~ .w m 4.1 CIS

~<liClS ell r:: ....., 'M Q) :>; .w. r:: <li +J

~ 1-1

~4-I 'M t.W 4-1 'M .w CIl 'M 0 IE r:: 4!'1 4-1 .~ r::

SUMLOG condition/record 0 ? 0 Q)

the beginning 'H I bo ~ interpreted as tlO til) CoO tIJ ~ Q) 0 0 0 ~ of Iii session ~ H H ..... I::t:

1 Beginning bf thE! stiMLOGs • · C C · • · 2 Log-on entry (4,1) · A A A B 1; C

3 Lag-off entry (4,2) • • .. • · ~ · 4 Log-off (time aacUtli.ulation 4.5) · A A A :a :B c

5 MCS initiation entry (5,2) • • • • · • · 6 MeS ltOJ entry 0,2 or t ,4) .. • i • • • · 1 HIt entry (6,1) .. · c* • • • · 8 'End of the sUMtOGs • • j • • • ·

A •• beginning and end matched on tha Logicll ~tatiOn NUmber

B beginning and end matched on the MCS NwMbet C applicable to ali session entries

* C •• special "sessions ll, with zero connect time

8

to t.!l

~ Cf.l

Q)

..c +J

4-1 0

"C r:: ~

C

· C

· · · ·

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MIXALL

JUB 4-44

Since the time, elapsed between the beginning of a session

and its end is the main item, from which the charge for

the session is comput.ed, a particular care was taken to

handle its computation pr.operly. The method is described

later in this paper.

aggregates data on DSK and JTS files into totals appropriate

for BILL, merges the aggregated data with FLAT file and

its own previous PRD, and writes the updated version of PRD.

The program runs at the end of each month.

BILLGEN prints the BILL from PRD file. It runs at the end of each

ADHOC

month.

prints DETAILED BILL for selected subset of JTS records.

It is run as requested. The program can also extract data

from JTS file on other than billing basis •

.1+. COMPUTING THE ELAPSED TIME

For certain charges (e.g. length of a data comm. session), and for

ga.thering statistic.s about the installation performance (e.g. time

up) it is of critical importance to compute correctly the actual

elapsed time based on two clock readings as they are logged on

the SUMLOG.

In the description of the method (illustrated by Fig. 3), we shall use

the fa 11 owing symbo 18 :

t astronomical time

a record address of an entry in the SUMLOG file

t (a) astronomical time at the moment when a SUMLOG entry at

address a was written

B(t) reading of the B6700 clock at time t

B(t(a» time-of-day figure in the entry at address a

e(a1,8'2) time elapsed between the moments when SUMLOG entries at a 1,a2 were written.

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B

B7t8~--------------------------~~---r----~

B6

B /

/ /

/ /

B B

Fig. 3. Computing the elapsed time

/ /

/ /

/

,

JUB 4-45

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JUB 4-46

If the B6700 clock was corr.ect atr aLl. times" then e{ar ,a2)co.uld be

expressed as follows:

( 1 )

However, the machine clock can be reset by the console operator, or

can bE! sensitive to power surg,~s. The computation of e has to take

those facts. into. consideration: As we read the. SI.J!H..OG s.equentially

we try to detect any "unnatur.al" increments in time B be.tween two

subsequent entries. 'What is "unn'atural" is. l.eft to. implement.or's

ima:gination:. The COCOA defines this as a positive. gap longer than

1.0 minutes,. or a negative jump longer than 10 minutes. The address

at which the unnatural increment. was detec.ted, is e:ntere.d into the

linked. list r, and the siz.e· of the incr:ement into the list s.

The~ fc)rmula (2.) appro;ximates the c:or.rec.t. elaps.ed time:

e{a t ,&2.) = B(t(a2») - B(t(a t )) - (2)

5. METHODl OF MEASURING DISK SPACE

The utilization of disk space occupied by one file during. one day,

1S measured as· day length

C - ---;----'r--..-oo:"","" - day tength • f A (t)dt (3)

Q

where A( t) is the actual size of the file at. ins,tant t. As the zero

point for variable t, the beginning of the f.i.rst shift (around 7 - 8 AM)

can bE~ chose:n.

The integral in (3) is actually computed. from discrete me.asurements

of A(t), taken' by the DISKLOG program at: moments t}, t 2 , ••• , tm=day leng.th.

COCOA uses the fo flowing formula:

to = 0, C.(O} = 0

t,. 1. C(t. 1) + (t.-t,. I)·A(t.) (

1- 1- ]. :1.-' 1 C t,) = -------------

1 t, 1

C = crt ) 'm

for i = 1, 2, ••• , m (4)

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JUB 4-47

I A I I .

c I I

I

I I I

I I I I I I I ,

0 tl :t2 It~ t

ADDED WEIGHT

OLD HEIGHT ADDED WEIGHT ADDEn

OLD WEIGHT WEIGHT

Fig. 4. Method of measuring disk space

The method of integration, described by (4), is economi~al in terms of

memory (disk) needed to remember values from one measurement to the next:

only one value per file (the C(t. 1) is needed at t •• Value of t. 1 is 1- 1 1-

common to all files whose memory is measured and recorded.

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Mailing list of JUB6700

corrections and additions.

Institutes, additions

Christian Rovsing A/S

tfarielundvej 46B

HeI'lev 2730, Denmark

Cia. de Process.amento de Dados

do estado do Rio Grande do Sul

RuB. Caldas Junior, 120-12. 0 Andar

Porto Alegre-RGS, Brasil

City of Leicester Polytechnic

Computer Gentre

PO Box 143, Leicester LEI 9BH, England

Data Processing Division

ROQIll 7-115

International Honetary Fund

WaSlhington, DC 20431

Depart(amento de Computacion,

Uni::versidad Central de Venezuela

P.O. Box 59002

Caracas, Venezuela

Estado do Rio Grande do SuI

Centro de Processamento de Dados

Secretaria da Fazenda

Porto Alegre, Rio Grande do SuI, Brasi:l

Kon. Ned. Meteor. Instituut

Utrechtseweg 297

De Bilt, Netherlands

JUB 4-48

c/o Anker B.erg-Sonne

c/o .Marili-a Perrone

c/o A.H. Wise

c/o Ernestine S. Butler

c/o Luis Marzulli

c/o Regis de Melo Huller

c/o B. Heijna

Page 51: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

Universidade Federal do Rio Grande do Sul

Centro de Processamento de Dados

Edifido da Esc-ola de Engenahria

Av. Osvaldo Aranha

90000 Porto Alegre - RS, Brasil

university of. the Pacific

Co~puter Services

Stc)ckton, California, USA

University of Tasmania

C,omputing Centre

Box 252 C, C.P.O.

Bobart, Tasmania, Australia

I~stitutesJ corrections

American Hospital Supply

page JUB 1 ... 21:

American Hospital Supply Corporation

Management Services Center

I 400 l~aukegan Road

McGaw Park, Illinois 60085, USA

Boise Cascade E&C Group Central

Computer Facility

page JUB 1-21:

Ebasco Services Incorporated

Two Rector Street

New York, New York 10006. USA

Universidade Federal do Rio de Janeiro

page JUB 3-62:

Universidade Federal do Rio de Janeiro

c/o •••• = Nucleo de Computa~ao Electronica

Caixa Postal 2324, ze.oo 20000 Rio de Janeiro - CB, arasil

JUB 4-49

c/o Hanoel Luiz Le~o

c/o Donald E. Price

c/o •••

c/o Harvey L. Cohen

c/o joel Koppelman

c/o kosa Maria de Oliveira Varella

Page 52: Journal for the Users of the Burroughs 6700 Number: Contentsalexandria.tue.nl/tijdschrift/JUB6700-4.pdf · Conpu~ing Centre P. O.10X 513 Eindhoven, ~etherlands Secretary Miss Tiny

Victoria University of Wellington

page JUB 3-'63:

Victoria University of \\Iellingt.on.,

Conputing S'ervices Centre

Private Bag

Wellington, New Zeal.and

Jun 4-50

c/o Robert H. Gordon

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JUB4- 51

Mailing s t of Burroughs-repre.sentatives, additions

* Mr. Jacques Levin,

Conifeerstraat 3, Arnhem, NetheTlands

* Mr. J" ter ELLen, Manager Product Promotion, Burrougb:s B. V.

Prof. E.M. I>1eijerslaan2, P.O. Box 48,

Amstelveen, NetheTlands

* Mr. E. J. Brown, Pro j ec t Manage r Large Systems Sup:po,rt Gro,up,

Burroughs del Peru, ApaTtado 5199,

Lima, Peru

* Mr. G. A. Rumpf, Manager Sys.tem Support Group' III, Burroughs Ltd;

P.O. Box 464, North Sydney N. S .. W. 20:60, Australia

* Mr. Raymond F. Pierce

LSSG, Cia Burroughs Mexicana SA

Av. Ejercito Nacional 1005

Mexico 10 DF, Mexico (15 copie-s)

* Mr. Enrique Pena,

LS8M, Campania Burroughs d.e Maquinas Ltda.

lng. Huergo 965,

Buenos Aires, Argentina

Burroughs-representatives, corrections

Mr. R. I. Meyer

page JUB 1-32:

Mr. Ruben I. Meyer, Manager LSSG;"'Mexico,

Cia. Burroughs Mexicana~ S .A.

Av. Ej erci to Nacional 1005,

Mexico 10, D.F. Mexico

* Mr. R.W. 8cholma

page JUB 1-32:

Mr. R.W. Scholma, InternaL Group

Burroughs Corporation

P.O. Box 418, Detroit, Michigan 48232, USA