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68 lines
2.1 KiB
Plaintext
68 lines
2.1 KiB
Plaintext
NAME
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abs - absolute value
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SYNOPSIS
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abs(x [,eps])
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TYPES
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If x is an object of type xx, the function xx_abs has to have
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been defined; this will determine the types for x, eps and
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the returned value.
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For non-object x and eps:
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x number (real or complex)
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eps ignored if x is real, nonzero real for complex x,
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defaults to epsilon().
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return non-negative real
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DESCRIPTION
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If x is real, returns the absolute value of x, i.e. x if x >= 0,
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-x if x < 0.
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For complex x with zero real part, returns the absolute value of im(x).
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For other complex x, returns the multiple of eps nearest to the absolute
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value of x, or in the case of two equally near nearest values, the
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the nearest even multiple of eps. In particular, with eps = 10^-n,
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the result will be the absolute value correct to n decimal places.
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EXAMPLE
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; print abs(3.4), abs(-3.4)
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3.4 3.4
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; print abs(3+4i, 1e-5), abs(4+5i, 1e-5), abs(4+5i, 1e-10)
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5 6.40312 6.4031242374
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LIMITS
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when x is complex, eps != 0
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LINK LIBRARY
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NUMBER *qqabs(NUMBER *x)
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SEE ALSO
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cmp, epsilon, hypot, norm, near, obj
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## Copyright (C) 1999,2021,2023 Landon Curt Noll
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##
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## Calc is open software; you can redistribute it and/or modify it under
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## the terms of the version 2.1 of the GNU Lesser General Public License
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## as published by the Free Software Foundation.
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##
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## Calc is distributed in the hope that it will be useful, but WITHOUT
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## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
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## Public License for more details.
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##
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## A copy of version 2.1 of the GNU Lesser General Public License is
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## distributed with calc under the filename COPYING-LGPL. You should have
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## received a copy with calc; if not, write to Free Software Foundation, Inc.
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## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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##
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## Under source code control: 1994/03/19 01:40:22
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## File existed as early as: 1994
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##
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## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
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## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
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