/usr/share/calc/help/power is in apcalc-common 2.12.4.4-2.
This file is owned by root:root, with mode 0o644.
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power - evaluate a numerical power to specified accuracy
SYNOPSIS
power(x, y, [, eps])
TYPES
x number
x number
eps nonzero real, defaults to epsilon()
return number
DESCRIPTION
For real or complex x and y, power(x,y,eps) returns a real or
complex number for which the real and imaginary parts are multiples
of epsilon differing from the true real and imaginary parts of the
principal y-th power of x by less than 0.75 * abs(eps), usually by
less than 0.5 * abs(eps). If the principal y-th power of x is a
multiple of eps, it will be returned exactly.
If y is a large integer but x^y is not large, and accuracy
represented by eps is all that is required, power(x,y,eps) may be
considerably faster than appr(x^y, eps, 24), the difference between
the two results being probably at most abs(eps).
EXAMPLE
; print power(1.2345, 10, 1e-5), power(1.2345, 10, 1e-10)
8.22074 8.2207405646
; print power(1+3i, 3, 1e-5), power(1 + 3i, 2+ 1i, 1e-5)
-26-18i -2.50593-1.39445i
; print power(1+ 1e-30, 1e30, 1e-20)
2.71828182845904523536
; print power(1i, 1i, 1e-20)
.20787957635076190855
; print power(exp(1, 1e-20), pi(1e-20) * 1i/2, 1e-20)
1i
LIMITS
If x = 0, y in power(x,y,eps) has to have positive real part,
except in the case of y = 0; power(0, 0, eps) is the multiple of
eps nearest 1.
eps > 0
LINK LIBRARY
void powervalue(VALUE *x, VALUE *y, VALUE *eps, VALUE *result)
NUMBER *qpower(NUMBER *x, NUMBER *y, NUMBER *eps)
COMPLEX *c_power(COMPLEX *x, COMPLEX *y, NUMBER *eps)
SEE ALSO
root
## Copyright (C) 1999 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: power,v 30.1 2007/03/16 11:10:42 chongo Exp $
## @(#) $Source: /usr/local/src/cmd/calc/help/RCS/power,v $
##
## Under source code control: 1995/10/25 04:03:46
## 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/
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