# BACAIC(ID:48/bac001)

## Algebraic system at Boeing

for Boeing Airplane Company Algebraic Interpretive Coding system

Mandalay Grems & Randall Porter, Boeing Airplane Company, Seattle, USA July 1955

(although according to Knuth and Pardo, the I for Interpretive was mistaken).

Intitally for an IBM 701, then later for an IBM 650

Hardware:

Related languages
 Laning and Zierler => BACAIC Influence BACAIC => SCAD Influence

References:
• Grems, M. and Porter, R. E., "Algebraic Interpretive Coding System", A Digest of the Boeing Airplane Company (July, 1955) view details
• Hopper, Grace "Automatic Coding for Digital Computers" view details pdf Extract: Introduction
Automatic coding is a means for reducing problem costs and is one of the answers to a programmer's prayer. Since every problem must be reduced to a series of elementary steps and transformed into computer instructions, any method which will speed up and reduce the cost of this process is of importance.
Each and every problem must go through the same stages:
Analysis,
Programming,
Coding,
Debugging,
Production Running,
Evaluation
The process of analysis cannot be assisted by the computer itself. For scientific problems, mathematical or engineering, the analysis includes selecting the method of approximation, setting up specifications for accuracy of sub-routines, determining the influence of roundoff errors, and finally presenting a list of equations supplemented by definition of tolerances and a diagram of the operations. For the commercial problem, again a detailed statement describing the procedure and covering every eventuality is required. This will usually be presented in English words and accompanied again by a flow diagram.
The analysis is the responsibility of the mathematician or engineer, the methods or systems man. It defines the problem and no attempt should be made to use a computer until such an analysis is complete.
The job of the programmer is that of adapting the problem definition to the abilities and idiosyncrasies of the particular computer. He will be vitally concerned with input and output and with the flow of operations through the computer. He must have a thorough knowledge of the computer components and their relative speeds and virtues.
Receiving diagrams and equations or statements from the analysis he will produce detailed flow charts for transmission to the coders. These will differ from the charts produced by the analysts in that they will be suited to a particular computer and will contain more detail. In some cases, the analyst and programmer will be the same person.
It is then the job of the coder to reduce the flow charts to the detailed list of computer instructions. At this point, an exact and comprehensive knowledge of the computer, its code, coding tricks, details of sentinels and of pulse code are required. The computer is an extremely fast moron. It will, at the speed of light, do exactly what it is told to do no more, no less.
After the coder has completed the instructions, it must be "debugged". Few and far between and very rare are those coders, human beings, who can write programs, perhaps consisting of several hundred instructions, perfectly, the first time. The analyzers, automonitors, and other mistake hunting routines that have been developed and reported on bear witness to the need of assistance in this area. When the program has been finally debugged, it is ready for production running and thereafter for evaluation or for use of the results.
Automatic coding enters these operations at four points. First, it supplies to the analysts, information about existing chunks of program, subroutines already tested and debugged, which he may choose to use in his problem. Second, it supplies the programmer with similar facilities not only with respect to the mathematics or processing used, but also with respect to using the equipment. For example, a generator may be provided to make editing routines to prepare data for printing, or a generator may be supplied to produce sorting routines.
It is in the third phase that automatic coding comes into its own, for here it can release the coder from most of the routine and drudgery of producing the instruction code. It may, someday, replace the coder or release him to become a programmer. Master or executive routines can be designed which will withdraw subroutines and generators from a library of such routines and link them together to form a running program.
If a routine is produced by a master routine from library components, it does not require the fourth phase - debugging - from the point of view of the coding. Since the library routines will all have been checked and the compiler checked, no errors in coding can be introduced into the program (all of which presupposes a completely checked computer). The only bugs that can remain to be detected and exposed are those in the logic of the original statement of the problem.
Thus, one advantage of automatic coding appears, the reduction of the computer time required for debugging. A still greater advantage, however, is the replacement of the coder by the computer. It is here that the significant time reduction appears. The computer processes the units of coding as it does any other units of data --accurately and rapidly. The elapsed time from a programmer's flow chart to a running routine may be reduced from a matter of weeks to a matter of minutes. Thus, the need for some type of automatic coding is clear.
Actually, it has been evident ever since the first digital computers first ran. Anyone who has been coding for more than a month has found himself wanting to use pieces of one problem in another. Every programmer has detected like sequences of operations. There is a ten year history of attempts to meet these needs.
The subroutine, the piece of coding, required to calculate a particular function can be wired into the computer and an instruction added to the computer code. However, this construction in hardware is costly and only the most frequently used routines can be treated in this manner. Mark I at Harvard included several such routines — sin x, log10x, 10X- However, they had one fault, they were inflexible. Always, they delivered complete accuracy to twenty-two digits. Always, they treated the most general case. Other computers, Mark II and SEAC have included square roots and other subroutines partially or wholly built in. But such subroutines are costly and invariant and have come to be used only when speed without regard to cost is the primary consideration.
It was in the ENIAC that the first use of programmed subroutines appeared. When a certain series of operations was completed, a test could be made to see whether or not it was necessary to repeat them and sequencing control could be transferred on the basis of this test, either to repeat the operations or go on to another set.
At Harvard, Dr. Aiken had envisioned libraries of subroutines. At Pennsylvania, Dr. Mauchly had discussed the techniques of instructing the computer to program itself. At Princeton, Dr. von Neumman had pointed out that if the instructions were stored in the same fashion as the data, the computer could then operate on these instructions. However, it was not until 1951 that Wheeler, Wilkes, and Gill in England, preparing to run the EDSAC, first set up standards, created a library, and the required satellite routines and wrote a book about it, "The Preparation of Programs for Electronic Digital Computers". In this country, comprehensive automatic techniques first appeared at MIT where routines to facilitate the use of Whirlwind I by students of computers and programming were developed.
Many different automatic coding systems have been developed - Seesaw, Dual, Speed-Code, the Boeing Assembly, and others for the 701, the A—series of compilers for the UNIVAC, the Summer Session Computer for Whirlwind, MAGIC for the MIDAC and Transcode for the Ferranti Computer at Toronto. The list is long and rapidly growing longer. In the process of development are Fortran for the 704, BIOR and GP for the UNIVAC, a system for the 705, and many more. In fact, all manufacturers now seem to be including an announcement of the form, "a library of subroutines for standard mathematical analysis operations is available to users", "interpretive subroutines, easy program debugging - ... - automatic program assembly techniques can be used."
The automatic routines fall into three major classes. Though some may exhibit characteristics of one or more, the classes may be so defined as to distinguish them.
1) Interpretive routines which translate a machine-like pseudocode into machine code, refer to stored subroutines and execute them as the computation proceeds — the MIT Summer Session Computer, 701 Speed-Code, UNIVAC Short-Code are examples.
2) Compiling routines, which also read a pseudo-code, but which withdraw subroutines from a library and operate upon them, finally linking the pieces together to deliver, as output, a complete specific program for future running — UNIVAC A — compilers, BIOR, and the NYU Compiler System.
3) Generative routines may be called for by compilers, or may be independent routines. Thus, a compiler may call upon a generator to produce a specific input routine. Or, as in the sort-generator, the submission of the specifications such as item-size, position of key-to produce a routine to perform the desired operation. The UNIVAC sort-generator, the work of Betty Holberton, was the first major automatic routine to be completed. It was finished in 1951 and has been in constant use ever since. At the University of California Radiation Laboratory, Livermore, an editing generator was developed by Merrit Ellmore — later a routine was added to even generate the pseudo-code.
The type of automatic coding used for a particular computer is to some extent dependent upon the facilities of the computer itself. The early computers usually had but a single input-output device, sometimes even manually operated. It was customary to load the computer with program and data, permit it to "cook" on them, and when it signalled completion, the results were unloaded. This procedure led to the development of the interpretive type of routine. Subroutines were stored in closed form and a main program referred to them as they were required. Such a procedure conserved valuable internal storage space and speeded the problem solution.
With the production of computer systems, like the UNIVAC, having, for all practical purposes, infinite storage under the computers own direction, new techniques became possible. A library of subroutines could be stored on tape, readily available to the computer. Instead of looking up a subroutine every time its operation was needed, it was possible to assemble the required subroutines into a program for a specific problem. Since most problems contain some repetitive elements, this was desirable in order to make the interpretive process a one-time operation.
Among the earliest such routines were the A—series of compilers of which A-0 first ran in May 1952. The A-2 compiler, as it stands at the moment, commands a library of mathematical and logical subroutines of floating decimal operations. It has been successfully applied to many different mathematical problems. In some cases, it has produced finished, checked and debugged programs in three minutes. Some problems have taken as long as eighteen minutes to code. It is, however, limited by its library which is not as complete as it should be and by the fact that since it produces a program entirely in floating decimal, it is sometimes wasteful of computer time. However, mathematicians have been able rapidly to learn to use it. The elapsed time for problems— the programming time plus the running time - has been materially reduced. Improvements and techniques now known, derived from experience with the A—series, will make it possible to produce better compiling systems. Currently, under the direction of Dr. Herbert F. Mitchell, Jr., the BIOR compiler is being checked out. This is the pioneer - the first of the true data-processing compilers.
At present, the interpretive and compiling systems are as many and as different as were the computers five years ago. This is natural in the early stages of a development. It will be some time before anyone can say this is the way to produce automatic coding.
Even the pseudo-codes vary widely. For mathematical problems, Laning and Zeirler at MIT have modified a Flexowriter and the pseudo-code in which they state problems clings very closely to the usual mathematical notation. Faced with the problem of coding for ENIAC, EDVAC and/or ORDVAC, Dr. Gorn at Aberdeen has been developing a "universal code". A problem stated in this universal pseudo-code can then be presented to an executive routine pertaining to the particular computer to be used to produce coding for that computer. Of the Bureau of Standards, Dr. Wegstein in Washington and Dr. Huskey on the West Coast have developed techniques and codes for describing a flow chart to a compiler.
In each case, the effort has been three-fold:
1) to expand the computer's vocabulary in the direction required by its users.
2) to simplify the preparation of programs both in order to reduce the amount of information about a computer a user needed to learn, and to reduce the amount he needed to write.
3) to make it easy, to avoid mistakes, to check for them, and to detect them.
The ultimate pseudo-code is not yet in sight. There probably will be at least two in common use; one for the scientific, mathematical and engineering problems using a pseudo-code closely approximating mathematical symbolism; and a second, for the data-processing, commercial, business and accounting problems. In all likelihood, the latter will approximate plain English.
The standardization of pseudo-code and corresponding subroutine is simple for mathematical problems. As a pseudo-code "sin x" is practical and suitable for "compute the sine of x", "PWT" is equally obvious for "compute Philadelphia Wage Tax", but very few commercial subroutines can be standardized in such a fashion. It seems likely that a pseudocode "gross-pay" will call for a different subroutine in every installation. In some cases, not even the vocabulary will be common since one computer will be producing pay checks and another maintaining an inventory.
Thus, future compiling routines must be independent of the type of program to be produced. Just as there are now general-purpose computers, there will have to be general-purpose compilers. Auxiliary to the compilers will be vocabularies of pseudo-codes and corresponding volumes of subroutines. These volumes may differ from one installation to another and even within an installation. Thus, a compiler of the future will have a volume of floating-decimal mathematical subroutines, a volume of inventory routines, and a volume of payroll routines. While gross-pay may appear in the payroll volume both at installation A and at installation B, the corresponding subroutine or standard input item may be completely different in the two volumes. Certain more general routines, such as input-output, editing, and sorting generators will remain common and therefore are the first that are being developed.
There is little doubt that the development of automatic coding will influence the design of computers. In fact, it is already happening. Instructions will be added to facilitate such coding. Instructions added only for the convenience of the programmer will be omitted since the computer, rather than the programmer, will write the detailed coding. However, all this will not be completed tomorrow. There is much to be learned. So far as each group has completed an interpreter or compiler, they have discovered in using it "what they really wanted to do". Each executive routine produced has lead to the writing of specifications for a better routine.
1955 will mark the completion of several ambitious executive routines. It will also see the specifications prepared by each group for much better and more efficient routines since testing in use is necessary to discover these specifications. However, the routines now being completed will materially reduce the time required for problem preparation; that is, the programming, coding, and debugging time. One warning must be sounded, these routines cannot define a problem nor adapt it to a computer. They only eliminate the clerical part of the job.
Analysis, programming, definition of a problem required 85%, coding and debugging 15\$, of the preparation time. Automatic coding materially reduces the latter time. It assists the programmer by defining standard procedures which can be frequently used. Please remember, however, that automatic programming does not imply that it is now possible to walk up to a computer, say "write my payroll checks", and push a button. Such efficiency is still in the science-fiction future.

in the High Speed Computer Conference, Louisiana State University, 16 Feb. 1955, Remington Rand, Inc. 1955 view details
• Grems, M., and R. E. Porter, "A truly automatic computing system", pp10-21 view details
Extract: Table of BACAIC symbol defiintions

in [JCC 09] Proceedings of the Western Joint Computer Conference, San Francisco, Calif., 1956 view details
• Bemer, R. W. "The Status of Automatic Programming for Scientific Problems" view details Abstract: A catalogue of automatic coding systems that are either operational or in the process of development together with brief descriptions of some of the more important ones Extract: Summary
Let me elaborate these points with examples. UNICODE is expected to require about fifteen man-years. Most modern assembly systems must take from six to ten man-years. SCAT expects to absorb twelve people for most of a year. The initial writing of the 704 FORTRAN required about twenty-five man-years. Split among many different machines, IBM's Applied Programming Department has over a hundred and twenty programmers. Sperry Rand probably has more than this, and for utility and automatic coding systems only! Add to these the number of customer programmers also engaged in writing similar systems, and you will see that the total is overwhelming.
Perhaps five to six man-years are being expended to write the Alodel 2 FORTRAN for the 704, trimming bugs and getting better documentation for incorporation into the even larger supervisory systems of various installations. If available, more could undoubtedly be expended to bring the original system up to the limit of what we can now conceive. Maintenance is a very sizable portion of the entire effort going into a system.
Certainly, all of us have a few skeletons in the closet when it comes to adapting old systems to new machines. Hardly anything more than the flow charts is reusable in writing 709 FORTRAN; changes in the characteristics of instructions, and tricky coding, have done for the rest. This is true of every effort I am familiar with, not just IBM's.
What am I leading up to? Simply that the day of diverse development of automatic coding systems is either out or, if not, should be. The list of systems collected here illustrates a vast amount of duplication and incomplete conception. A computer manufacturer should produce both the product and the means to use the product, but this should be done with the full co-operation of responsible users. There is a gratifying trend toward such unification in such organizations as SHARE, USE, GUIDE, DUO, etc. The PACT group was a shining example in its day. Many other coding systems, such as FLAIR, PRINT, FORTRAN, and USE, have been done as the result of partial co-operation. FORTRAN for the 705 seems to me to be an ideally balanced project, the burden being carried equally by IBM and its customers.
Finally, let me make a recommendation to all computer installations. There seems to be a reasonably sharp distinction between people who program and use computers as a tool and those who are programmers and live to make things easy for the other people. If you have the latter at your installation, do not waste them on production and do not waste them on a private effort in automatic coding in a day when that type of project is so complex. Offer them in a cooperative venture with your manufacturer (they still remain your employees) and give him the benefit of the practical experience in your problems. You will get your investment back many times over in ease of programming and the guarantee that your problems have been considered.
Extract: IT, FORTRANSIT, SAP, SOAP, SOHIO
The IT language is also showing up in future plans for many different computers. Case Institute, having just completed an intermediate symbolic assembly to accept IT output, is starting to write an IT processor for UNIVAC. This is expected to be working by late summer of 1958. One of the original programmers at Carnegie Tech spent the last summer at Ramo-Wooldridge to write IT for the 1103A. This project is complete except for input-output and may be expected to be operational by December, 1957. IT is also being done for the IBM 705-1, 2 by Standard Oil of Ohio, with no expected completion date known yet. It is interesting to note that Sohio is also participating in the 705 FORTRAN effort and will undoubtedly serve as the basic source of FORTRAN-to- IT-to-FORTRAN translational information. A graduate student at the University of Michigan is producing SAP output for IT (rather than SOAP) so that IT will run on the 704; this, however, is only for experience; it would be much more profitable to write a pre-processor from IT to FORTRAN (the reverse of FOR TRANSIT) and utilize the power of FORTRAN for free.
in "Proceedings of the Fourth Annual Computer Applications Symposium" , Armour Research Foundation, Illinois Institute of Technology, Chicago, Illinois 1957 view details
• Danielsen, M.; Gaskill, R. E.; Greenway, L. R.; Grems, M. D.; Porter, R. E. (BACIAC) The Boeing Airplane Company Algebraic Interpretive Computing System, Vol. 1 (lTSAGE). Boeing Airplane Company, Seattle, Washington, Sept. 1957 view details
in "Proceedings of the Fourth Annual Computer Applications Symposium" , Armour Research Foundation, Illinois Institute of Technology, Chicago, Illinois 1957 view details
• [Bemer, RW] [State of ACM automatic coding library August 1958] view details
in "Proceedings of the Fourth Annual Computer Applications Symposium" , Armour Research Foundation, Illinois Institute of Technology, Chicago, Illinois 1957 view details
• [Bemer, RW] [State of ACM automatic coding library August 1958] view details
in "Proceedings of the Fourth Annual Computer Applications Symposium" , Armour Research Foundation, Illinois Institute of Technology, Chicago, Illinois 1957 view details
• [Bemer, RW] [State of ACM automatic coding library May 1959] view details Extract: Obiter Dicta
Bob Bemer states that this table (which appeared sporadically in CACM) was partly used as a space filler. The last version was enshrined in Sammet (1969) and the attribution there is normally misquoted.
in [ACM] CACM 2(05) May 1959 view details
• Carr, John W III; "Computer Programming" volume 2, chapter 2, pp115-121 view details
in E. M. Crabbe, S. Ramo, and D. E. Wooldridge (eds.) "Handbook of Automation, Computation, and Control," John Wiley & Sons, Inc., New York, 1959. view details
• Sammet, Jean E "1960 Tower of Babel" diagram on the front of CACM January 1961 view details

in [ACM] CACM 4(01) (Jan 1961) view details
• Bemer, R "ISO TC97/SC5/WGA(1) Survey of Programming Languages and Processors" December 1962 view details
in [ACM] CACM 6(03) (Mar 1963) view details
• Sammet, Jean E. "Computer Languages - Principles and History" Englewood Cliffs, N.J. Prentice-Hall 1969. view details Extract: BACAIC features
BACAIC

An interesting system called the Boeing Airplane Company Algebraic Interpretive Coding System (BACAIC) for the IBM 701 is described in a report by M. Grems and R. Porter [GR55] dated July, 1955. It permitted the writing of mathematical expressions in a fairly natural notation, except that no constants could be included; they had to be replaced by something of the form Ki, for i an integer. Multiplication was indicated by a centered dot, and an assignment statement by an asterisk at the right. Thus,

B B - K4 A C * D

caused the assignment to the variable D of the value of the expression B2 - K4 A C . A complete list of the symbols for writing expressions is given in Figure IV-I. Note that a modified form of square brackets rather than parentheses was available on their key punch machine. It was not only permitted but required to number expressions and refer to them by that number in other statements. Thus WHN A GRT B USE 6 meant that if the value of A was greater than or equal to tile value of B, then expression number 6 was computed next. Otherwise, the expression that followed was computed.

Logically unnecessary parentheses could be excluded; thus the expression A + B C was handled correctly. They even allowed multiple assignment statements, such as

A+B*S*T*U

which meant assign the value of A + B to S, T, and U. This articular facility did not appear again in any major language until ALGOL 60.

in [ACM] CACM 6(03) (Mar 1963) view details
• Sammet, Jean E., "Programming languages: history and future" view details
in [ACM] CACM 15(06) (June 1972) view details
• Knuth, Donald Ervin, and Luis Trabb Pardo "The early development of programming languages" pp419-96 view details Extract: BACAIC
Computer professionals at the Boeing Airplane Company in Seattle, Washington, felt that "In this jet age, it is vital to shorten the time from the definition of a problem to its solution." So they introduced BACAIC, the Boeing Airplane Company Algebraic Interpretive Computing system for the IBM 701 computer.
BACAIC was an interesting language and compiler developed by Mandalay Grems and R. E. Porter, who began work on the system in the latter part of 1954; they presented it at the Western Joint Computer Conference held in San Francisco in February 1956. Although the "I" in BACAIC stands for "Interpretive," their system actually translated algebraic expressions into machine language calls on subroutines, with due regard for parentheses and precedence, so we would now call it a compiler.

The BACAIC language was unusual in several respects, especially in its control structure which assumed one-level iterations over the entire program; a program was considered to be a nearly straight-line computation to be applied to various "cases" of data.
[...]
The BACAIC system was easy to learn and to use, but the language was too restrictive for general-purpose computing. One novel feature was its "check-out mode," in which the user furnished hand-calculated data and the machine would print out only the discrepancies it found.

in Belzer, J. ; A. G. Holzman, A. Kent, (eds) Encyclopedia of Computer Science and Technology, Marcel Dekker, Inc., New York. 1979 view details
• Porter, Randall E. "First Encounter with the 701 (for Boeing Aircraft)" pp202-204 view details
in Annals of the History of Computing, 05(2) April-June 1983 IEEE (IBM 701 Issue) view details
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