# MATH-MATIC

3:59

Paradigm imperative Remington Rand 1957 UNIVAC I, UNIVAC II FLOW-MATIC UNICODE (programming language)

MATH-MATIC is the marketing name for the AT-3 (Algebraic Translator 3) compiler, an early programming language for the UNIVAC I and UNIVAC II.

MATH-MATIC was written beginning around 1955 by a team led by Charles Katz under the direction of Grace Hopper. A preliminary manual[1] was produced in 1957 and a final manual[2] the following year.

Syntactically, MATH-MATIC was similar to Univac's contemporaneous business-oriented language, FLOW-MATIC, differing in providing algebraic-style expressions and floating-point arithmetic, and arrays rather than record structures.

## Notable features

Expressions in MATH-MATIC could contain numeric exponents, including decimals and fractions, by way of a custom typewriter.[3]

MATH-MATIC programs could include inline assembler sections of ARITH-MATIC code and UNIVAC machine code.[4]

The UNIVAC I had only 1000 words of memory, and the successor UNIVAC II as little as 2000. MATH-MATIC allowed for larger programs, automatically generating code to read overlay segments from UNISERVO tape as required. The compiler attempted to avoid splitting loops across segments.[5]

## Influence

In proposing the collaboration with the ACM that led to ALGOL 58, the Gesellschaft für Angewandte Mathematik und Mechanik wrote that it considered MATH-MATIC the closest available language to its own proposal.[6]

In contrast to Backus' FORTRAN, MATH-MATIC did not emphasise execution speed of compiled programs. The UNIVAC machines did not have floating-point hardware, and MATH-MATIC was translated via A-3 (ARITH-MATIC) pseudo-assembler code rather than directly to UNIVAC machine code, limiting its usefulness. [7]

## MATH-MATIC Sample program

A sample MATH-MATIC program:[8]

```(2)  TYPE-IN ALPHA .
(3)  READ D F SERVO 5 .
(4)  VARY Y 1 (0.1) 3 SENTENCE 5 THRU 6 .
(5)  X1 = (7*103*Y*A*SIN ALPHA)3 / (B POW D+C POW E) .
(6)  WRITE AND EDIT A Y D E X1 SERVO 6 .
(8)  CLOSE-INPUT AND REWIND SENTENCE 3 .
(9)  CLOSE-OUTPUT SENTENCE 6 .
(10) READ F G H N SERVO 4 STORAGE A IF SENTINEL JUMP TO SENTENCE 20 .
(11) EXECUTE SENTENCE 3 .
(12) X2 = (3 ROOT (E-G)+LOG (D+N)) / (F2.6*EXP H) .
(13) WRITE EDIT F D F X2 SERVO 6 .
(20) STOP .```

## Notes

1. ^ Ash (1957)
2. ^ Univac (1958)
3. ^ Sammet (1969) p. 135
4. ^ Sammet (1969) p. 137
5. ^ Sammet (1969) p. 137
6. ^ Bemer (1969) p. 161
7. ^ Knuth (1976) p. 90
8. ^ Univac (1958) p. 8

## References

• Ash, R.; Broadwin, E.; Della Valle, V.; Greene, M.; Jenny, A.; Katz, C.; Yu, L. (1957-04-19). Preliminary Manual for MATH-MATIC and ARITH-MATIC Systems for Algebraic Translation and Compilation for UNIVAC I and II (PDF) (Technical report). Philadelphia: Remington Rand Univac. Archived from the original (PDF) on 2014-12-26. Retrieved 2016-03-19.
• Sammet, Jean (1969). Programming Languages: History and Fundamentals. Prentice-Hall. pp. 132, 135–137. ISBN 978-0-13-729988-1.

By: Wikipedia.org
Edited: 2021-06-18 18:14:34
Source: Wikipedia.org