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58 lines
1.9 KiB
Plaintext
58 lines
1.9 KiB
Plaintext
NAME
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polar - specify a complex number by modulus (radius) and argument (angle)
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SYNOPSIS
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polar(r, t [, eps])
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TYPES
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r real
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t real
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eps nonzero real, defaults to epsilon()
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return number (real or complex)
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DESCRIPTION
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Returns the real or complex number with real and imaginary parts
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multiples of epps nearest or next to nearest to r * cos(t) and
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r * sin(t) respectively. The error for each part will be less
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than 0.75 * abs(eps), but usually less than 0.5 * abs(eps).
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EXAMPLE
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; print polar(2, 0), polar(1, 2, 1e-5), polar(1, 2, 1e-10)
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2 -0.41615+0.9093i -0.4161468365+0.9092974268i
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; pi = pi(1e-10); eps = 1e-5
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; print polar(2, pi/4, eps), polar(2, pi/2, eps), polar(2, 3*pi/4, eps)
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1.41421+1.41421i 2i -1.414215+1.41421i
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LIMITS
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eps != 0
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LINK LIBRARY
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COMPLEX *c_polar(NUMBER *r, NUMBER *t, NUMBER *eps);
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SEE ALSO
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abs, arg, re, im
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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: 1995/10/25 04:03:46
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## File existed as early as: 1995
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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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