163 lines
		
	
	
		
			3.6 KiB
		
	
	
	
		
			Factor
		
	
	
			
		
		
	
	
			163 lines
		
	
	
		
			3.6 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: kernel math.private namespaces sequences strings
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| arrays combinators splitting math assocs make ;
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| IN: math.parser
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| 
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| : digit> ( ch -- n )
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|     H{
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|         { CHAR: 0 0 }
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|         { CHAR: 1 1 }
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|         { CHAR: 2 2 }
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|         { CHAR: 3 3 }
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|         { CHAR: 4 4 }
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|         { CHAR: 5 5 }
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|         { CHAR: 6 6 }
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|         { CHAR: 7 7 }
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|         { CHAR: 8 8 }
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|         { CHAR: 9 9 }
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|         { CHAR: A 10 }
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|         { CHAR: B 11 }
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|         { CHAR: C 12 }
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|         { CHAR: D 13 }
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|         { CHAR: E 14 }
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|         { CHAR: F 15 }
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|         { CHAR: a 10 }
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|         { CHAR: b 11 }
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|         { CHAR: c 12 }
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|         { CHAR: d 13 }
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|         { CHAR: e 14 }
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|         { CHAR: f 15 }
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|     } at ;
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| 
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| : string>digits ( str -- digits )
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|     [ digit> ] { } map-as ;
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| 
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| : digits>integer ( seq radix -- n )
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|     0 swap [ swapd * + ] curry reduce ;
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| 
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| DEFER: base>
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| 
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| <PRIVATE
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| 
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| SYMBOL: radix
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| SYMBOL: negative?
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| 
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| : sign ( -- str ) negative? get "-" "+" ? ;
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| 
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| : with-radix ( radix quot -- )
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|     radix swap with-variable ; inline
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| 
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| : (base>) ( str -- n ) radix get base> ;
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| 
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| : whole-part ( str -- m n )
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|     sign split1 >r (base>) r>
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|     dup [ (base>) ] [ drop 0 swap ] if ;
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| 
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| : string>ratio ( str -- a/b )
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|     "-" ?head dup negative? set swap
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|     "/" split1 (base>) >r whole-part r>
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|     3dup and and [ / + swap [ neg ] when ] [ 2drop 2drop f ] if ;
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| 
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| : valid-digits? ( seq -- ? )
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|     {
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|         { [ dup empty? ] [ drop f ] }
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|         { [ f over memq? ] [ drop f ] }
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|         [ radix get [ < ] curry all? ]
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|     } cond ;
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| 
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| : string>integer ( str -- n/f )
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|     "-" ?head swap
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|     string>digits dup valid-digits?
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|     [ radix get digits>integer swap [ neg ] when ] [ 2drop f ] if ;
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| 
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| PRIVATE>
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| 
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| : base> ( str radix -- n/f )
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|     [
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|         CHAR: / over member? [
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|             string>ratio
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|         ] [
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|             CHAR: . over member? [
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|                 string>float
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|             ] [
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|                 string>integer
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|             ] if
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|         ] if
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|     ] with-radix ;
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| 
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| : string>number ( str -- n/f ) 10 base> ;
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| : bin> ( str -- n/f ) 2 base> ;
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| : oct> ( str -- n/f ) 8 base> ;
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| : hex> ( str -- n/f ) 16 base> ;
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| 
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| : >digit ( n -- ch )
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|     dup 10 < [ CHAR: 0 + ] [ 10 - CHAR: a + ] if ;
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| 
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| : positive>base ( num radix -- str )
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|     dup 1 <= [ "Invalid radix" throw ] when
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|     [ dup 0 > ] swap [ /mod >digit ] curry [ ] "" produce-as nip
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|     dup reverse-here ; inline
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| 
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| PRIVATE>
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| 
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| GENERIC# >base 1 ( n radix -- str )
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| 
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| <PRIVATE
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| 
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| : (>base) ( n -- str ) radix get positive>base ;
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| 
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| PRIVATE>
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| 
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| M: integer >base
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|     over 0 = [
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|         2drop "0"
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|     ] [
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|         over 0 > [
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|             positive>base
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|         ] [
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|             [ neg ] dip positive>base CHAR: - prefix
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|         ] if
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|     ] if ;
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| 
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| M: ratio >base
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|     [
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|         dup 0 < negative? set
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|         abs 1 /mod
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|         [ dup zero? [ drop "" ] [ (>base) sign append ] if ]
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|         [
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|             [ numerator (>base) ]
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|             [ denominator (>base) ] bi
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|             "/" swap 3append
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|         ] bi* append
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|         negative? get [ CHAR: - prefix ] when
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|     ] with-radix ;
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| 
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| : fix-float ( str -- newstr )
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|     {
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|         {
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|             [ CHAR: e over member? ]
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|             [ "e" split1 >r fix-float "e" r> 3append ]
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|         } {
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|             [ CHAR: . over member? ]
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|             [ ]
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|         }
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|         [ ".0" append ]
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|     } cond ;
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| 
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| M: float >base
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|     drop {
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|         { [ dup fp-nan? ] [ drop "0.0/0.0" ] }
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|         { [ dup 1.0/0.0 = ] [ drop "1.0/0.0" ] }
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|         { [ dup -1.0/0.0 = ] [ drop "-1.0/0.0" ] }
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|         { [ dup double>bits HEX: 8000000000000000 = ] [ drop "-0.0" ] }
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|         [ float>string fix-float ]
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|     } cond ;
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| 
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| : number>string ( n -- str ) 10 >base ;
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| : >bin ( n -- str ) 2 >base ;
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| : >oct ( n -- str ) 8 >base ;
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| : >hex ( n -- str ) 16 >base ;
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| 
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| : # ( n -- ) number>string % ;
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