! :folding=indent:collapseFolds=0:

! $Id$
!
! Copyright (C) 2003, 2004 Slava Pestov.
! 
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IN: arithmetic
USE: combinators
USE: kernel
USE: logic
USE: stack

: integer? dup fixnum? swap bignum? or ;
: rational? dup integer? swap ratio? or ;
: real? dup number? swap complex? not and ;

: 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 / ;