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c78a893862
Added the following new trigonometric functions:
exsec(x [,eps]) exterior trigonometric secant
aexsec(x [,eps]) inverse exterior trigonometric secant
excsc(x [,eps]) exterior trigonometric cosecant
aexcsc(x [,eps]) inverse exterior trigonometric cosecant
Added to test 95dd and test9500.trigeq.cal to the calc regression test
suite to perform extensive test of trigonometric functions.
Added to test 34dd, some if the missing inverse trigonometric tests.
73 lines
2.3 KiB
Plaintext
73 lines
2.3 KiB
Plaintext
NAME
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vercos - versed trigonometric cosine
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SYNOPSIS
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vercos(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 number
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DESCRIPTION
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Calculate the versed trigonometric cosine of x to a multiple of eps with error less in
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absolute value than .75 * eps.
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This function is sometimes called verc, or vercosin, is equivalent to:
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vercos(x) = 1 + cos(x)
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EXAMPLE
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; print vercos(1/2), vercos(5/7), vercos(42/7)
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1.87758256189037271612 1.75556134670069659847 1.96017028665036602055
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; print vercos(1, 1e-5), vercos(1, 1e-10), vercos(1, 1e-15), vercos(1, 1e-20)
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1.5403 1.5403023059 1.54030230586814 1.5403023058681397174
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; print vercos(2 + 3i, 1e-5), vercos(2 + 3i, 1e-10)
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-3.18963-9.10923i -3.189625691-9.1092278938i
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; pi = pi(1e-20)
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; print vercos(pi/6), vercos(pi/2), vercos(pi)
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1.86602540378443864676 1 0
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LIMITS
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0 < eps < 1
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LINK LIBRARY
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NUMBER *qvercos(NUMBER *x, NUMBER *eps)
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COMPLEX *c_vercos(COMPLEX *x, NUMBER *eps)
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SEE ALSO
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sin, cos, tan, cot, sec, csc
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asin, acos, atan, acot, asec, acsc
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versin, coversin, covercos
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aversin, acoversin, avercos, acovercos
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haversin, hacoversin, havercos, hacovercos
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ahaversin, hacoversin, havercos, ahacovercos
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exsec, aexsec, excsc, aexcsc
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epsilon
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## Copyright (C) 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: 2023/09/05 23:25:28
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## File existed as early as: 2023
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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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