mirror of
https://github.com/lcn2/calc.git
synced 2025-08-19 01:13:27 +03:00
fdbf53d7e8
Improved trig help files. Added new vercos(x, [,eps]) for versed cosine and covercos(x, [,eps]) for inverse versed cosine. Added new avercos(x, [,eps]) for inverse versed cosine and acovercos(x, [,eps]) for inverse coversed cosine.
63 lines
2.0 KiB
Plaintext
63 lines
2.0 KiB
Plaintext
NAME
|
|
acoversin - inverse coversed trigonometric sine
|
|
|
|
SYNOPSIS
|
|
acoversin(x [,eps])
|
|
|
|
TYPES
|
|
x number (real or complex)
|
|
eps 0 < real < 1, defaults to epsilon()
|
|
|
|
return number
|
|
|
|
DESCRIPTION
|
|
Calculate the inverse coversed trigonometric sine of x to a multiple of eps with error less in
|
|
absolute value than .75 * eps.
|
|
|
|
This function is sometimes called acovers, or acvs, or arccoversin, is equivalent to:
|
|
|
|
acoversin(x) = asin(1 - x)
|
|
|
|
EXAMPLE
|
|
; print acoversin(.5, 1e-5), acoversin(.5, 1e-10), acoversin(.5, 1e-15), acoversin(.5, 1e-20)
|
|
0.5236 0.5235987756 0.523598775598299 0.52359877559829887308
|
|
|
|
; print acoversin(1), acoversin(-5), acoversin(2 + 3i)
|
|
0 1.57079632679489661923-2.47788873028847500481i -0.30760364953071124992-1.86416154415788242834i
|
|
|
|
LIMITS
|
|
0 < eps < 1
|
|
|
|
LINK LIBRARY
|
|
NUMBER *qacoversin(NUMBER *x, NUMBER *eps)
|
|
COMPLEX *c_acoversin(COMPLEX *x, NUMBER *eps)
|
|
|
|
SEE ALSO
|
|
sin, cos, tan, cot, sec, csc
|
|
asin, acos, atan, acot, asec, acsc
|
|
versin, coversin, vercos, avercos
|
|
aversin, acoversin, covercos, acovercos
|
|
epsilon
|
|
|
|
## Copyright (C) 2023 Landon Curt Noll
|
|
##
|
|
## Calc is open software; you can redistribute it and/or modify it under
|
|
## the terms of the version 2.1 of the GNU Lesser General Public License
|
|
## as published by the Free Software Foundation.
|
|
##
|
|
## Calc is distributed in the hope that it will be useful, but WITHOUT
|
|
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
|
|
## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
|
|
## Public License for more details.
|
|
##
|
|
## A copy of version 2.1 of the GNU Lesser General Public License is
|
|
## distributed with calc under the filename COPYING-LGPL. You should have
|
|
## received a copy with calc; if not, write to Free Software Foundation, Inc.
|
|
## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
|
|
##
|
|
## Under source code control: 2023/08/31 23:07:08
|
|
## File existed as early as: 2023
|
|
##
|
|
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
|
|
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
|