factor/library/math/ratio.factor

! :folding=indent:collapseFolds=0:

! $Id$
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! Copyright (C) 2004 Slava Pestov.
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IN: math
USE: generic
USE: kernel
USE: kernel-internals
USE: math
USE: math-internals

GENERIC: numerator ( a/b -- a )
M: integer numerator ;
M: ratio numerator 0 slot %integer ;

GENERIC: denominator ( a/b -- b )
M: integer denominator drop 1 ;
M: ratio denominator 1 slot %integer ;

IN: math-internals

: 2>fraction ( a/b c/d -- a c b d )
    [ swap numerator swap numerator ] 2keep
    swap denominator swap denominator ; inline

M: ratio number= ( a/b c/d -- ? )
    2>fraction number= [ number= ] [ 2drop f ] ifte ;

: scale ( a/b c/d -- a*d b*c )
    2>fraction >r * swap r> * swap ; inline

: ratio+d ( a/b c/d -- b*d )
    denominator swap denominator * ; inline

M: ratio < scale < ;
M: ratio <= scale <= ;
M: ratio > scale > ;
M: ratio >= scale >= ;

M: ratio + ( x y -- x+y ) 2dup scale + -rot ratio+d integer/ ;
M: ratio - ( x y -- x-y ) 2dup scale - -rot ratio+d integer/ ;
M: ratio * ( x y -- x*y ) 2>fraction * >r * r> integer/ ;
M: ratio / scale integer/ ;
M: ratio /i scale /i ;
M: ratio /f scale /f ;