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RECCMp· II USER t S PROGRAM NO.

1107

PROGRM.f TITLE: CALCULATION OF PI (DH10NSTRATION) PROGRAN C LASSIFI CATION: Demons tra tion

AUTHOR: W. Wel1l11an

Servomechanisms, Inc.

Research

Division Goleta, California

PURPOSE: For demonstration, this program calculates the value of 1Y from

Pierce's

algor!

thm

DATE:.

9

December

1961

Published by RECOMP User's Library

at

AUTONETICS I~!IJUSTRIAL PRODUCTS

A DIVISION OF NORTH AHERICAN AVIATION, INC.

3400 E. 70th Street, Long

Beach

5,

Calif.

DISCLAIMER

Although it Is assumed that all the precautions have been taken to check out this program thoroughly, no responsibility is taken by the originator of this program for any erroneous results, misconceptions, or misrepresentations that may appear in this program. Furthermore, no responsibility is taken by Autonetlcs Industrial· Products for the correct reproductions of this program. No warranty, express or implied, is extended by the use or application of the program.

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Purpose

Use

Time

Calc ula tion of Pi

102P Page 1

For demonstratio)l, this program calculates the value of 11 from Pierce t 8 algoritllln:

f m x fel..

f m

=

1

+

1

3 2

Ibn}

+

60m

+

72m

+

27

Result is tlisplayed on the console.·

To start, press start 3. To stop, use preset stop at 4021.0 If interrupted in tnid-progranl, restart n1.ay give wrong result; stop program in 4021. 0 and restart. To stop at any m, place that m in 4073 (floating).

Correct significant figures

o

2 3 4 5 6 12 Time, minutes/seconds

0/3

1

0/

4 1

0/

14

10/B 1/34

6/46 63/0

Accuracy After 12 significant figures, round-off error gradually reduces the number of correct figures to zero. The accuracy of any displayed result is better than 1 part in d, where d is the floaling point number in 4054- 5 when pro'gram is stopped at 4027.0

Location 4000-4100 inclusive, non-relocatablc, and 0003.0 File Uniterms demonstration, pi, round-off, display

Contained Original Subroutines none,

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