mirror of
https://github.com/lcn2/calc.git
synced 2025-08-16 01:03:29 +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.
70 lines
2.2 KiB
Plaintext
70 lines
2.2 KiB
Plaintext
NAME
|
|
coversin - coversed trigonometric sine
|
|
|
|
SYNOPSIS
|
|
coversin(x [,eps])
|
|
|
|
TYPES
|
|
x number (real or complex)
|
|
eps 0 < real < 1, defaults to epsilon()
|
|
|
|
return number
|
|
|
|
DESCRIPTION
|
|
Calculate the coversed trigonometric sine of x to a multiple of eps with error less in
|
|
absolute value than .75 * eps.
|
|
|
|
This function is sometimes called covers, or cvs, is equivalent to:
|
|
|
|
coversin(x) = 1 - sin(x)
|
|
|
|
EXAMPLE
|
|
; print coversin(0.2), coversin(3/7), coversin(-31)
|
|
0.80133066920493878454 0.58442814500694799193 0.59596235467693499395
|
|
|
|
; print coversin(1, 1e-5), coversin(1, 1e-10), coversin(1, 1e-15), coversin(1, 1e-20)
|
|
0.15853 0.1585290152 0.158529015192104 0.15852901519210349335
|
|
|
|
; print coversin(2 + 3i, 1e-5), coversin(2 + 3i, 1e-10)
|
|
-8.1545+4.16891i -8.1544991469+4.16890696i
|
|
|
|
; pi = pi(1e-20)
|
|
; print coversin(pi/6, 1e-10), coversin(pi/2, 1e-10), coversin(pi, 1e-10), coversin(3*pi/2, 1e-10)
|
|
0.5 0 1 2
|
|
|
|
LIMITS
|
|
0 < eps < 1
|
|
|
|
LINK LIBRARY
|
|
NUMBER *qcoversin(NUMBER *x, NUMBER *eps)
|
|
COMPLEX *c_coversin(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/
|