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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.
82 lines
2.5 KiB
Plaintext
82 lines
2.5 KiB
Plaintext
NAME
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aexsec - inverse exterior trigonometric secant
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SYNOPSIS
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aexsec(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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Returns the inverse trigonometric secant 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 arcexsec, is equivalent to:
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aexsec(x) = asec(x + 1)
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EXAMPLE
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; print aexsec(0), aexsec(0.5), aexsec(1)
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0 0.84106867056793025578 1.04719755119659774615
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; print aexsec(-0.5), aexsec(-1)
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1.31695789692481670863i Error 10453
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; print aexsec(.5, 1e-5), aexsec(.5, 1e-10), aexsec(.5, 1e-15), aexsec(.5, 1e-20)
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0.84107 0.8410686706 0.84106867056793 0.84106867056793025578
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; print aexsec(5), aexsec(5i)
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1.40334824757520728868 1.53301882512452250055+0.1912765007419179263i
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; print aexsec(5+5i)
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1.4726099272282164647+0.08227107131216428876i
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; pi = pi(1e-20)
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; print aexsec(pi/6), aexsec(pi/3)
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0.85483795676480051293 1.06045782591172048268
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; print aexsec(4*pi/3)
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1.37685975548487957341
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LIMITS
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0 < eps < 1
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LINK LIBRARY
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NUMBER *qaexsec(NUMBER *x, NUMBER *eps)
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COMPLEX *c_aexsec(COMPLEX *c, NUMBER *epsilon)
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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, vercos, 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, 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: 2023/10/01 00:20:20
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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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