80 lines
1.8 KiB
Factor
80 lines
1.8 KiB
Factor
! Copyright (C) 2004, 2008 Slava Pestov.
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! See http://factorcode.org/license.txt for BSD license.
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USING: accessors kernel kernel.private math math.functions
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math.private sequences summary ;
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IN: math.ratios
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: 2>fraction ( a/b c/d -- a c b d )
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[ >fraction ] bi@ swapd ; inline
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<PRIVATE
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: fraction> ( a b -- a/b )
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dup 1 number= [ drop ] [ ratio boa ] if ; inline
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: (scale) ( a b c d -- a*d b*c )
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[ * swap ] dip * swap ; inline
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: scale ( a/b c/d -- a*d b*c )
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2>fraction (scale) ; inline
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: scale+d ( a/b c/d -- a*d b*c b*d )
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2>fraction [ (scale) ] 2keep * ; inline
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PRIVATE>
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ERROR: division-by-zero x ;
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M: division-by-zero summary
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drop "Division by zero" ;
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M: integer /
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[
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division-by-zero
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] [
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dup 0 < [ [ neg ] bi@ ] when
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2dup fast-gcd [ /i ] curry bi@ fraction>
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] if-zero ;
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M: integer recip
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1 swap [
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division-by-zero
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] [
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dup 0 < [ [ neg ] bi@ ] when fraction>
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] if-zero ;
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M: ratio recip
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>fraction swap dup 0 < [ [ neg ] bi@ ] when fraction> ;
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M: ratio hashcode*
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nip >fraction [ hashcode ] bi@ bitxor ;
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M: ratio equal?
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over ratio? [
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2>fraction = [ = ] [ 2drop f ] if
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] [ 2drop f ] if ;
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M: ratio number=
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2>fraction number= [ number= ] [ 2drop f ] if ;
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M: ratio >fixnum >fraction /i >fixnum ;
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M: ratio >bignum >fraction /i >bignum ;
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M: ratio >float >fraction /f ;
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M: ratio numerator numerator>> ; inline
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M: ratio denominator 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 + scale+d [ + ] [ / ] bi* ;
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M: ratio - scale+d [ - ] [ / ] bi* ;
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M: ratio * 2>fraction [ * ] 2bi@ / ;
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M: ratio / scale / ;
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M: ratio /i scale /i ;
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M: ratio /f scale /f ;
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M: ratio mod scale+d [ mod ] [ / ] bi* ;
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M: ratio /mod scale+d [ /mod ] [ / ] bi* ;
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