math.functions: clean up
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@ -1,7 +1,7 @@
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! Copyright (C) 2004, 2010 Slava Pestov.
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! See http://factorcode.org/license.txt for BSD license.
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USING: math kernel math.constants math.private math.bits
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math.libm combinators math.order sequences ;
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math.libm combinators fry math.order sequences ;
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IN: math.functions
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: >fraction ( a/b -- a b )
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@ -13,12 +13,13 @@ IN: math.functions
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GENERIC: sqrt ( x -- y ) foldable
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M: real sqrt
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>float dup 0.0 < [ neg fsqrt 0.0 swap rect> ] [ fsqrt ] if ; inline
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>float dup 0.0 <
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[ neg fsqrt [ 0.0 ] dip rect> ] [ fsqrt ] if ; inline
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: factor-2s ( n -- r s )
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#! factor an integer into 2^r * s
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dup 0 = [ 1 ] [
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0 swap [ dup even? ] [ [ 1 + ] [ 2/ ] bi* ] while
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[ 0 ] dip [ dup even? ] [ [ 1 + ] [ 2/ ] bi* ] while
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] if ; inline
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<PRIVATE
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@ -26,13 +27,13 @@ M: real sqrt
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GENERIC# ^n 1 ( z w -- z^w ) foldable
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: (^n) ( z w -- z^w )
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make-bits 1 [ [ dupd * ] when [ sq ] dip ] reduce nip ; inline
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make-bits 1 [ [ over * ] when [ sq ] dip ] reduce nip ; inline
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M: integer ^n
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[ factor-2s ] dip [ (^n) ] keep rot * shift ;
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M: ratio ^n
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[ >fraction ] dip [ ^n ] curry bi@ / ;
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[ >fraction ] dip '[ _ ^n ] bi@ / ;
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M: float ^n (^n) ;
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@ -62,7 +63,7 @@ M: float exp fexp ; inline
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M: real exp >float exp ; inline
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M: complex exp >rect swap exp swap polar> ; inline
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M: complex exp >rect [ exp ] dip polar> ; inline
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<PRIVATE
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@ -84,10 +85,9 @@ M: complex exp >rect swap exp swap polar> ; inline
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: 0^ ( x -- z )
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[ 0/0. ] [ 0 < 1/0. 0 ? ] if-zero ; inline
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: (^mod) ( n x y -- z )
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make-bits 1 [
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[ dupd * pick mod ] when [ sq over mod ] dip
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] reduce 2nip ; inline
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: (^mod) ( x y n -- z )
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[ make-bits 1 ] dip dup
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'[ [ over * _ mod ] when [ sq _ mod ] dip ] reduce nip ; inline
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: (gcd) ( b a x y -- a d )
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over zero? [
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@ -125,11 +125,8 @@ ERROR: non-trivial-divisor n ;
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[ non-trivial-divisor ] if ; foldable
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: ^mod ( x y n -- z )
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over 0 < [
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[ [ neg ] dip ^mod ] keep mod-inv
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] [
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-rot (^mod)
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] if ; foldable
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over 0 <
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[ [ [ neg ] dip ^mod ] keep mod-inv ] [ (^mod) ] if ; foldable
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GENERIC: absq ( x -- y ) foldable
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