2008-11-11 14:03:08 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								! Copyright (C) 2007, 2008 Slava Pestov, Doug Coleman.
							 | 
						
					
						
							
								
									
										
										
										
											2008-09-05 20:29:14 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								! See http://factorcode.org/license.txt for BSD license.
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								USING: arrays kernel math math.functions sequences
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								sequences.private words namespaces macros hints
							 | 
						
					
						
							
								
									
										
										
										
											2008-11-18 15:10:21 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								combinators fry io.binary ;
							 | 
						
					
						
							
								
									
										
										
										
											2008-09-05 20:29:14 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								IN: math.bitwise
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								! utilities
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: clear-bit ( x n -- y ) 2^ bitnot bitand ; inline
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: set-bit ( x n -- y ) 2^ bitor ; inline
							 | 
						
					
						
							
								
									
										
										
										
											2008-11-11 14:03:08 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								: bit-clear? ( x n -- ? ) 2^ bitand 0 = ; inline
							 | 
						
					
						
							
								
									
										
										
										
											2008-09-05 20:29:14 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: unmask ( x n -- ? ) bitnot bitand ; inline
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: unmask? ( x n -- ? ) unmask 0 > ; inline
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: mask ( x n -- ? ) bitand ; inline
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: mask? ( x n -- ? ) mask 0 > ; inline
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: wrap ( m n -- m' ) 1- bitand ; inline
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: bits ( m n -- m' ) 2^ wrap ; inline
							 | 
						
					
						
							
								
									
										
										
										
											2008-11-11 14:03:08 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								: mask-bit ( m n -- m' ) 2^ mask ; inline
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: on-bits ( n -- m ) 2^ 1- ; inline
							 | 
						
					
						
							
								
									
										
										
										
											2008-11-29 01:37:36 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								: toggle-bit ( m n -- m' ) 2^ bitxor ; inline
							 | 
						
					
						
							
								
									
										
										
										
											2008-09-05 20:29:14 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: shift-mod ( n s w -- n )
							 | 
						
					
						
							
								
									
										
										
										
											2008-11-11 14:03:08 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    [ shift ] dip 2^ wrap ; inline
							 | 
						
					
						
							
								
									
										
										
										
											2008-09-05 20:29:14 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: bitroll ( x s w -- y )
							 | 
						
					
						
							
								
									
										
										
										
											2008-11-26 06:24:35 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    [ wrap ] keep
							 | 
						
					
						
							
								
									
										
										
										
											2008-11-26 05:20:25 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    [ shift-mod ] [ [ - ] keep shift-mod ] 3bi bitor ; inline
							 | 
						
					
						
							
								
									
										
										
										
											2008-09-05 20:29:14 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2008-11-11 14:03:08 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								: bitroll-32 ( n s -- n' ) 32 bitroll ; inline
							 | 
						
					
						
							
								
									
										
										
										
											2008-09-05 20:29:14 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2008-11-11 14:03:08 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								: bitroll-64 ( n s -- n' ) 64 bitroll ; inline
							 | 
						
					
						
							
								
									
										
										
										
											2008-09-05 20:29:14 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								! 32-bit arithmetic
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: w+ ( int int -- int ) + 32 bits ; inline
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: w- ( int int -- int ) - 32 bits ; inline
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: w* ( int int -- int ) * 32 bits ; inline
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								! flags
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								MACRO: flags ( values -- )
							 | 
						
					
						
							
								
									
										
										
										
											2008-11-11 14:03:08 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    [ 0 ] [ [ dup word? [ execute ] when bitor ] curry compose ] reduce ;
							 | 
						
					
						
							
								
									
										
										
										
											2008-09-05 20:29:14 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								! bitfield
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								<PRIVATE
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								GENERIC: (bitfield-quot) ( spec -- quot )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								M: integer (bitfield-quot) ( spec -- quot )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    [ swapd shift bitor ] curry ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								M: pair (bitfield-quot) ( spec -- quot )
							 | 
						
					
						
							
								
									
										
										
										
											2008-11-11 14:03:08 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    first2 over word? [ [ swapd execute ] dip ] [ ] ?
							 | 
						
					
						
							
								
									
										
										
										
											2008-09-05 20:29:14 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    [ shift bitor ] append 2curry ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								PRIVATE>
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								MACRO: bitfield ( bitspec -- )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    [ 0 ] [ (bitfield-quot) compose ] reduce ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								! bit-count
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								<PRIVATE
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								DEFER: byte-bit-count
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								<<
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								\ byte-bit-count
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								256 [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    0 swap [ [ 1+ ] when ] each-bit
							 | 
						
					
						
							
								
									
										
										
										
											2008-12-15 20:44:56 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								] B{ } map-as '[ HEX: ff bitand _ nth-unsafe ]
							 | 
						
					
						
							
								
									
										
										
										
											2008-12-13 06:06:28 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								(( byte -- table )) define-declared
							 | 
						
					
						
							
								
									
										
										
										
											2008-12-15 20:44:56 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								\ byte-bit-count make-inline
							 | 
						
					
						
							
								
									
										
										
										
											2008-09-05 20:29:14 -04:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								>>
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								GENERIC: (bit-count) ( x -- n )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								M: fixnum (bit-count)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        [           byte-bit-count ]
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        [ -8  shift byte-bit-count ]
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        [ -16 shift byte-bit-count ]
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        [ -24 shift byte-bit-count ]
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    } cleave + + + ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								M: bignum (bit-count)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    dup 0 = [ drop 0 ] [
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								        [ byte-bit-count ] [ -8 shift (bit-count) ] bi +
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    ] if ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								PRIVATE>
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: bit-count ( x -- n )
							 | 
						
					
						
							
								
									
										
										
										
											2008-11-11 14:03:08 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								    dup 0 < [ bitnot ] when (bit-count) ; inline
							 | 
						
					
						
							
								
									
										
										
										
											2008-11-18 15:10:21 -05:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								! Signed byte array to integer conversion
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: signed-le> ( bytes -- x )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    [ le> ] [ length 8 * 1- on-bits ] bi
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    2dup > [ bitnot bitor ] [ drop ] if ;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								: signed-be> ( bytes -- x )
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								    <reversed> signed-le> ;
							 |