mirror of
https://github.com/lcn2/calc.git
synced 2025-08-19 01:13:27 +03:00
add vercos(), avercos(), covercos(), acovercos()
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.
This commit is contained in:
63
help/avercos
Normal file
63
help/avercos
Normal file
@@ -0,0 +1,63 @@
|
||||
NAME
|
||||
avercos - inverse versed trigonometric cosine
|
||||
|
||||
SYNOPSIS
|
||||
avercos(x [,eps])
|
||||
|
||||
TYPES
|
||||
x number (real or complex)
|
||||
eps 0 < real < 1, defaults to epsilon()
|
||||
|
||||
return real
|
||||
|
||||
DESCRIPTION
|
||||
Returns the inverse versed trigonometric cosine of x to a multiple of eps with error less in
|
||||
absolute value than .75 * eps.
|
||||
|
||||
This function is sometimes called averc, or arcvercos, is equivalent to:
|
||||
|
||||
avercos(x) = acos(x - 1)
|
||||
|
||||
EXAMPLE
|
||||
; print avercos(.5, 1e-5), avercos(.5, 1e-10), avercos(.5, 1e-15), avercos(.5, 1e-20)
|
||||
2.0944 2.0943951024 2.094395102393195 2.09439510239319549231
|
||||
|
||||
; print avercos(2), avercos(-5), avercos(2 + 3i)
|
||||
0 3.14159265358979323846-2.47788873028847500481i 1.26319267726418536931-1.86416154415788242834i
|
||||
|
||||
LIMITS
|
||||
0 < eps < 1
|
||||
|
||||
LINK LIBRARY
|
||||
NUMBER *qavercos_or_NULL(NUMBER *q, NUMBER *epsilon);
|
||||
NUMBER *qavercos(NUMBER *q, NUMBER *epsilon);
|
||||
COMPLEX *c_avercos(COMPLEX *c, NUMBER *epsilon);
|
||||
|
||||
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: 2023/09/05 23:40:24
|
||||
## 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/
|
Reference in New Issue
Block a user