Knuth's constants to 1000 decimal and 1100 octal places
36. R. P. Brent,
Knuth's constants to 1000 decimal and 1100 octal places,
Report TR 47, Computer Centre, ANU (September 1975), 25 pp.
ISBN 0-85842-013-9.
Deposited in the
Mathematics of Computation
UMT file.
Review by J. W. Wrench in
Mathematics of Computation 30 (1976), 668.
Abstract:
dvi (3K),
pdf (82K),
ps (28K).
Report:
pdf (3026K).
Review:
pdf (140K).
Short Abstract
In appendices to
The Art of Computer Programming,
Knuth lists 33
mathematical constants to 40 decimal and 44 octal places.
In this report the same constants are given to 1000 decimal and
1100 octal places. The constants were computed using the
author's MP package,
on a Univac 1108 computer.
Comments
For a description of the constants, see the
dvi,
pdf, or
ps version of the abstract.
In early printings of The Art of Computer Programming,
the 44-place octal value of pi/180 was incorrectly rounded.
The last four octal digits were given as 1154 instead of 1155.
I won a prize of $2 by pointing out this error.
The 1000-decimal place constants are available in machine-readable form
here,
as generated by the program
test1k.f.
A small modification to the program
will give the constants to different accuracy
or in a different base.
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