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a722b5cca7
Improved help files for sin, cos, tan, cot, sec, csc. In case of tan, cot, sec, csc corrected help file was corrected to indicate that complex arguments are allowed. This was a help file oversight from long ago when those trigonometric functions Expanded the calc regression test suite test 34dd to test various real and complex values for sin, cos, tan, cot, sec, csc.
65 lines
2.0 KiB
Plaintext
65 lines
2.0 KiB
Plaintext
NAME
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csc - trigonometric cosecant
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SYNOPSIS
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csc(x [,eps])
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TYPES
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x number (real or complex)
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eps 0 < real < 1, defaults to epsilon()
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return real
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DESCRIPTION
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Calculate the cosecant of x to a multiple of eps, with error less
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in absolute value than .75 * eps.
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EXAMPLE
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; print csc(1, 1e-5), csc(1, 1e-10), csc(1, 1e-15), csc(1, 1e-20)
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1.1884 1.1883951058 1.188395105778121 1.18839510577812121626
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; print csc(2 + 3i, 1e-5), csc(2 + 3i, 1e-10)
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~0.09047318155450436310+~0.04120099965201690801i ~0.09047320975303232503+~0.04120098628887626238i
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; pi = pi(1e-20)
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; print csc(pi/6, 1e-10), csc(pi/3, 1e-10), csc(4*pi/3, 1e-10)
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2 1.1547005384 -1.1547005384
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; print csc(1/2), csc(5/7), csc(42/7)
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2.08582964293348818577 1.52653601091884339347 -3.57889954725440563736
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LIMITS
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0 < eps < 1
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LINK LIBRARY
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NUMBER *qcsc(NUMBER *x, NUMBER *eps)
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SEE ALSO
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sin, cos, tan, cot, sec
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asin, acos, atan, acot, asec, acsc
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versin, coversin, vercos, avercos
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aversin, acoversin, covercos, acovercos
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epsilon
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## Copyright (C) 1999,2023 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: 1995/11/13 03:49:00
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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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