mirror of
https://github.com/lcn2/calc.git
synced 2025-08-16 01:03:29 +03:00
66 lines
1.9 KiB
Plaintext
66 lines
1.9 KiB
Plaintext
NAME
|
|
pix - number of primes not exceeding specified number
|
|
|
|
SYNOPSIS
|
|
pix(n [,err])
|
|
|
|
TYPES
|
|
n real
|
|
err integer
|
|
|
|
return nonnegative integer, or err
|
|
|
|
DESCRIPTION
|
|
If n is fractional or n >= 2^32, pix(n) causes an error,
|
|
pix(n, err) returns the value of err.
|
|
|
|
If n is an integer < 2^32, pix(n) returns the number of primes
|
|
(2, 3, 5, ...) less or equal to n.
|
|
|
|
EXAMPLE
|
|
; for (i = 0; i <= 20; i++) print pix(i),:;
|
|
0 0 1 2 2 3 3 4 4 4 4 5 5 6 6 6 6 7 7 8 8
|
|
|
|
; print pix(100), pix(1000), pix(1e4), pix(1e5), pix(1e6)
|
|
25 168 1229 9592 78498
|
|
|
|
; print pix(2^32 - 1, -1), pix(2^32, -1)
|
|
203280221 -1
|
|
|
|
LIMITS
|
|
none
|
|
|
|
LINK LIBRARY
|
|
long zpix(ZVALUE z)
|
|
FULL pix(FULL x)
|
|
|
|
SEE ALSO
|
|
factor, isprime, lfactor, nextcand, nextprime, prevcand, prevprime,
|
|
pfact, ptest
|
|
|
|
## Copyright (C) 1999-2006 Landon Curt Noll
|
|
##
|
|
## Calc is open software; you can redistribute it and/or modify it under
|
|
## the terms of the version 2.1 of the GNU Lesser General Public License
|
|
## as published by the Free Software Foundation.
|
|
##
|
|
## Calc is distributed in the hope that it will be useful, but WITHOUT
|
|
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
|
|
## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
|
|
## Public License for more details.
|
|
##
|
|
## A copy of version 2.1 of the GNU Lesser General Public License is
|
|
## distributed with calc under the filename COPYING-LGPL. You should have
|
|
## received a copy with calc; if not, write to Free Software Foundation, Inc.
|
|
## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
|
|
##
|
|
## @(#) $Revision: 30.1 $
|
|
## @(#) $Id: pix,v 30.1 2007/03/16 11:10:42 chongo Exp $
|
|
## @(#) $Source: /usr/local/src/cmd/calc/help/RCS/pix,v $
|
|
##
|
|
## Under source code control: 1995/12/18 12:34:58
|
|
## File existed as early as: 1995
|
|
##
|
|
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
|
|
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
|