mirror of
https://github.com/lcn2/calc.git
synced 2025-08-16 01:03:29 +03:00
86f1d9e029
Added new aversin(x, [,eps]) for inverse versed sine and acoversin(x, [,eps]) for inverse coversed sine. Improved trig function help files to reference use of complex arguments that while supported were not documented. Removed old Makefile testing rules for make dbx and make gdb. Improved "make run" to execute calccalc using shared libraries from the local directory, and with reading of the startup scripts disabled. Changed "make prep" to perform various tests that are used to help verify that calc is ready for a release. Added Makefile testing rule testfuncsort to check for the sort of the builtin function list. Changed the order that builtin functions are listed by "show builtin" and the help/builtin to match the sorting of "LANG=C LC_ALL=C sort -d -u".
64 lines
2.0 KiB
Plaintext
64 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 sine of x to a multiple of eps with error less in
|
|
absolute value than .75 * eps.
|
|
|
|
The coversed sine function is sometimes called covers, or acosiv, or acvs,
|
|
may be defined as:
|
|
|
|
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 1.40341337183925787843-2.49215996813383545614i -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
|
|
aversin
|
|
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/
|