factor/library/math/arithmetic.factor

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2004-07-16 02:26:21 -04:00
!:folding=indent:collapseFolds=0:
! $Id$
!
! Copyright (C) 2003, 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: arithmetic
USE: combinators
USE: kernel
USE: logic
USE: stack
: i #{ 0 1 } ; inline
: -i #{ 0 -1 } ; inline
: inf 1.0 0.0 / ; inline
: -inf -1.0 0.0 / ; inline
: e 2.7182818284590452354 ; inline
: pi 3.14159265358979323846 ; inline
: pi/2 1.5707963267948966 ; inline
: /f / >float ; inline
: f>0 ( obj -- obj )
#! If f at the top of the stack, turn it into 0.
[ 0 ] unless* ;
: 0>f ( obj -- obj )
#! If 0 at the top of the stack, turn it into f.
dup 0 = [ drop f ] when ;
: compare ( x y [ if x < y ] [ if x = y ] [ if x > y ] -- )
>=< call ; inline interpret-only
: max ( x y -- z )
2dup > -rot ? ;
: min ( x y -- z )
2dup < -rot ? ;
: between? ( x min max -- ? )
#! Push if min <= x <= max.
[ [ dup ] dip max ] dip min = ;
: sq dup * ; inline
: pred 1 - ; inline
: succ 1 + ; inline
: neg 0 swap - ; inline
: recip 1 swap / ; inline
: round ( x to -- y )
dupd rem - ;
: deg2rad pi * 180 / ;
: rad2deg 180 * pi / ;