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NAME
abs - absolute value
SYNOPSIS
abs(x [,eps])
TYPES
If x is an object of type xx, the function xx_abs has to have
been defined; this will determine the types for x, eps and
the returned value.
For non-object x and eps:
x number (real or complex)
eps ignored if x is real, nonzero real for complex x,
defaults to epsilon().
return non-negative real
DESCRIPTION
If x is real, returns the absolute value of x, i.e. x if x >= 0,
-x if x < 0.
For complex x with zero real part, returns the absolute value of im(x).
For other complex x, returns the multiple of eps nearest to the absolute
value of x, or in the case of two equally near nearest values, the
the nearest even multiple of eps. In particular, with eps = 10^-n,
the result will be the absolute value correct to n decimal places.
EXAMPLE
; print abs(3.4), abs(-3.4)
3.4 3.4
; print abs(3+4i, 1e-5), abs(4+5i, 1e-5), abs(4+5i, 1e-10)
5 6.40312 6.4031242374
LIMITS
when x is complex, eps != 0
LINK LIBRARY
NUMBER *qqabs(NUMBER *x)
SEE ALSO
cmp, epsilon, hypot, norm, near, obj
## Copyright (C) 1999,2021,2023 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.
##
## Under source code control: 1994/03/19 01:40:22
## File existed as early as: 1994
##
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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