57 lines
2.0 KiB
Factor
57 lines
2.0 KiB
Factor
! :folding=indent:collapseFolds=0:
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! $Id$
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!
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! Copyright (C) 2004 Slava Pestov.
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!
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! Redistribution and use in source and binary forms, with or without
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! modification, are permitted provided that the following conditions are met:
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!
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! 1. Redistributions of source code must retain the above copyright notice,
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! this list of conditions and the following disclaimer.
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!
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! 2. Redistributions in binary form must reproduce the above copyright notice,
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! this list of conditions and the following disclaimer in the documentation
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! and/or other materials provided with the distribution.
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!
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! THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES,
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! INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
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! FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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! DEVELOPERS AND CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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! SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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! PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
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! OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
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! WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
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! OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
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! ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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IN: math-internals
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USE: generic
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USE: kernel
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USE: math
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: 2>fraction ( a/b c/d -- a c b d )
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[ swap numerator swap numerator ] 2keep
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swap denominator swap denominator ; inline
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M: ratio number= ( a/b c/d -- ? )
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2>fraction number= [ number= ] [ 2drop f ] ifte ;
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: scale ( a/b c/d -- a*d b*c )
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2>fraction >r * swap r> * swap ; inline
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: ratio+d ( a/b c/d -- b*d )
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denominator swap denominator * ; inline
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M: ratio < scale < ;
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M: ratio <= scale <= ;
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M: ratio > scale > ;
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M: ratio >= scale >= ;
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M: ratio + ( x y -- x+y ) 2dup scale + -rot ratio+d integer/ ;
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M: ratio - ( x y -- x-y ) 2dup scale - -rot ratio+d integer/ ;
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M: ratio * ( x y -- x*y ) 2>fraction * >r * r> integer/ ;
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M: ratio / scale integer/ ;
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M: ratio /i scale /i ;
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M: ratio /f scale /f ;
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