mirror of
https://github.com/lcn2/calc.git
synced 2025-08-16 01:03:29 +03:00
75 lines
2.2 KiB
Plaintext
75 lines
2.2 KiB
Plaintext
NAME
|
|
inverse - inverse of value
|
|
|
|
SYNOPSIS
|
|
inverse(x)
|
|
|
|
TYPES
|
|
If x is an object of type xx, the function xx_inv has to have
|
|
been defined; any conditions on x and the nature of the returned
|
|
value will depend on the definition of xx_inv.
|
|
|
|
For non-object x:
|
|
|
|
x nonzero number (real or complex) or nonsingular matrix
|
|
|
|
return number or matrix
|
|
|
|
DESCRIPTION
|
|
For real or complex x, inverse(x) returns the value of 1/x.
|
|
|
|
If x is a nonsingular n x n matrix and its elements are numbers or
|
|
objects for which the required arithmetic operations are defined,
|
|
inverse(x) returns the matrix m for which m * x = x * m = the unit
|
|
n x n matrix. The inverse m will have the same index limits as x.
|
|
|
|
EXAMPLE
|
|
; print inverse(5/4), inverse(-2/7), inverse(3 + 4i)
|
|
.8 -3.5 .12-.16i
|
|
|
|
; mat A[2,2] = {2,3,5,7}
|
|
; print inverse(A)
|
|
|
|
mat [2,2] (4 elements, 4 nonzero):
|
|
[0,0] = -7
|
|
[0,1] = 3
|
|
[1,0] = 5
|
|
[1,1] = -2
|
|
|
|
LIMITS
|
|
none
|
|
|
|
LINK LIBRARY
|
|
void invertvalue(VALUE *x, VALUE *vres)
|
|
NUMBER *qinv(NUMBER *x)
|
|
COMPLEX *c_inv(COMPLEX *x)
|
|
MATRIX *matinv(MATRIX *x)
|
|
|
|
SEE ALSO
|
|
|
|
## Copyright (C) 1999 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.
|
|
##
|
|
## @(#) $Revision: 30.1 $
|
|
## @(#) $Id: inverse,v 30.1 2007/03/16 11:10:42 chongo Exp $
|
|
## @(#) $Source: /usr/local/src/bin/calc/help/RCS/inverse,v $
|
|
##
|
|
## Under source code control: 1996/03/12 23:10:01
|
|
## File existed as early as: 1996
|
|
##
|
|
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
|
|
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/
|