?? power
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NAME power - evaluate a numerical power to specified accuracySYNOPSIS power(x, y, [, eps])TYPES x number x number eps nonzero real, defaults to epsilon() return numberDESCRIPTION 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) 1iLIMITS 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 > 0LINK 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.## 59 Temple Place, Suite 330, Boston, MA 02111-1307, USA.#### @(#) $Revision: 29.4 $## @(#) $Id: power,v 29.4 2006/05/07 07:25:46 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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