49 lines
1.8 KiB
Factor
49 lines
1.8 KiB
Factor
|
! :folding=indent:collapseFolds=0:
|
||
|
|
|
||
|
|
! $Id$
|
||
|
|
!
|
||
|
|
! Copyright (C) 2004 Slava Pestov.
|
||
|
|
!
|
||
|
|
! Redistribution and use in source and binary forms, with or without
|
||
|
|
! modification, are permitted provided that the following conditions are met:
|
||
|
|
!
|
||
|
|
! 1. Redistributions of source code must retain the above copyright notice,
|
||
|
|
! this list of conditions and the following disclaimer.
|
||
|
|
!
|
||
|
|
! 2. Redistributions in binary form must reproduce the above copyright notice,
|
||
|
|
! this list of conditions and the following disclaimer in the documentation
|
||
|
|
! and/or other materials provided with the distribution.
|
||
|
|
!
|
||
|
|
! THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES,
|
||
|
|
! INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
|
||
|
|
! FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
|
||
|
|
! DEVELOPERS AND CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
|
||
|
|
! SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
|
||
|
|
! PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
|
||
|
|
! OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
|
||
|
|
! WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
|
||
|
|
! OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
|
||
|
|
! ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||
|
|
|
||
|
|
IN: math
|
||
|
|
USE: combinators
|
||
|
|
USE: math
|
||
|
|
USE: stack
|
||
|
|
|
||
|
|
: quadratic-complete ( a b c -- a b c a b )
|
||
|
|
>r 2dup r> -rot ;
|
||
|
|
|
||
|
|
: quadratic-d ( c a b -- sqrt[b^2 - 4*a*c] )
|
||
|
|
sq -rot 4 * * - sqrt ;
|
||
|
|
|
||
|
|
: quadratic-root ( x y -- -y/x/2 )
|
||
|
|
neg swap / 2 / ;
|
||
|
|
|
||
|
|
: quadratic-roots ( a b d -- alpha beta )
|
||
|
|
3dup - quadratic-root >r + quadratic-root r> ;
|
||
|
|
|
||
|
|
: quadratic ( a b c -- alpha beta )
|
||
|
|
#! Finds both roots of the polynomial a*x^2 + b*x + c using
|
||
|
|
#! the quadratic formula.
|
||
|
|
quadratic-complete quadratic-d quadratic-roots ;
|