1 ! Copyright (C) 2003, 2009 Slava Pestov, Joe Groff.
2 ! See http://factorcode.org/license.txt for BSD license.
10 GENERIC: >fixnum ( x -- n ) foldable
11 GENERIC: >bignum ( x -- n ) foldable
12 GENERIC: >integer ( x -- n ) foldable
13 GENERIC: >float ( x -- y ) foldable
14 GENERIC: integer>fixnum ( x -- y ) foldable
15 GENERIC: integer>fixnum-strict ( x -- y ) foldable
17 GENERIC: numerator ( a/b -- a )
18 GENERIC: denominator ( a/b -- b )
20 GENERIC: real-part ( z -- x )
21 GENERIC: imaginary-part ( z -- y )
23 MATH: number= ( x y -- ? ) foldable
25 M: object number= 2drop f ;
27 MATH: < ( x y -- ? ) foldable
28 MATH: <= ( x y -- ? ) foldable
29 MATH: > ( x y -- ? ) foldable
30 MATH: >= ( x y -- ? ) foldable
32 MATH: unordered? ( x y -- ? ) foldable
33 MATH: u< ( x y -- ? ) foldable
34 MATH: u<= ( x y -- ? ) foldable
35 MATH: u> ( x y -- ? ) foldable
36 MATH: u>= ( x y -- ? ) foldable
38 M: object unordered? 2drop f ;
40 MATH: + ( x y -- z ) foldable
41 MATH: - ( x y -- z ) foldable
42 MATH: * ( x y -- z ) foldable
43 MATH: / ( x y -- z ) foldable
44 MATH: /f ( x y -- z ) foldable
45 MATH: /i ( x y -- z ) foldable
46 MATH: mod ( x y -- z ) foldable
48 MATH: /mod ( x y -- z w ) foldable
50 MATH: bitand ( x y -- z ) foldable
51 MATH: bitor ( x y -- z ) foldable
52 MATH: bitxor ( x y -- z ) foldable
53 GENERIC# shift 1 ( x n -- y ) foldable
54 GENERIC: bitnot ( x -- y ) foldable
55 GENERIC# bit? 1 ( x n -- ? ) foldable
57 GENERIC: abs ( x -- y ) foldable
61 GENERIC: (log2) ( x -- n ) foldable
65 ERROR: out-of-fixnum-range n ;
67 ERROR: log2-expects-positive x ;
70 dup 0 <= [ log2-expects-positive ] [ (log2) ] if ; inline
72 : zero? ( x -- ? ) 0 number= ; inline
73 : 2/ ( x -- y ) -1 shift ; inline
74 : sq ( x -- y ) dup * ; inline
75 : neg ( x -- -x ) -1 * ; inline
76 : sgn ( x -- n ) dup 0 < [ drop -1 ] [ 0 > 1 0 ? ] if ; inline
77 : ?1+ ( x -- y ) [ 1 + ] [ 0 ] if* ; inline
78 : rem ( x y -- z ) abs [ mod ] [ + ] [ mod ] tri ; foldable
79 : 2^ ( n -- 2^n ) 1 swap shift ; inline
80 : even? ( n -- ? ) 1 bitand zero? ; inline
81 : odd? ( n -- ? ) 1 bitand 1 number= ; inline
83 GENERIC: neg? ( x -- -x )
85 : if-zero ( ..a n quot1: ( ..a -- ..b ) quot2: ( ..a n -- ..b ) -- ..b )
86 [ dup zero? ] [ [ drop ] prepose ] [ ] tri* if ; inline
88 : when-zero ( ..a n quot: ( ..a -- ..b ) -- ..b ) [ ] if-zero ; inline
90 : unless-zero ( ..a n quot: ( ..a n -- ..b ) -- ..b ) [ ] swap if-zero ; inline
92 UNION: integer fixnum bignum ;
94 TUPLE: ratio { numerator integer read-only } { denominator integer read-only } ;
96 UNION: rational integer ratio ;
98 M: rational neg? 0 < ; inline
100 UNION: real rational float ;
102 TUPLE: complex { real real read-only } { imaginary real read-only } ;
104 UNION: number real complex ;
106 GENERIC: recip ( x -- y )
108 M: number recip 1 swap / ; inline
110 : fp-bitwise= ( x y -- ? ) [ double>bits ] same? ; inline
112 GENERIC: fp-special? ( x -- ? )
113 GENERIC: fp-nan? ( x -- ? )
114 GENERIC: fp-qnan? ( x -- ? )
115 GENERIC: fp-snan? ( x -- ? )
116 GENERIC: fp-infinity? ( x -- ? )
117 GENERIC: fp-nan-payload ( x -- bits )
118 GENERIC: fp-sign ( x -- ? )
120 M: object fp-special? drop f ; inline
121 M: object fp-nan? drop f ; inline
122 M: object fp-qnan? drop f ; inline
123 M: object fp-snan? drop f ; inline
124 M: object fp-infinity? drop f ; inline
126 : <fp-nan> ( payload -- nan )
127 0x7ff0000000000000 bitor bits>double ; inline
129 GENERIC: next-float ( m -- n )
130 GENERIC: prev-float ( m -- n )
132 : next-power-of-2 ( m -- n )
133 dup 2 <= [ drop 2 ] [ 1 - log2 1 + 2^ ] if ; inline
135 : power-of-2? ( n -- ? )
136 dup 0 <= [ drop f ] [ dup 1 - bitand zero? ] if ; foldable
139 1 - [ + ] keep bitnot bitand ; inline
143 : iterate-prep ( n quot -- i n quot ) [ 0 ] 2dip ; inline
145 : if-iterate? ( i n true false -- ) [ 2over < ] 2dip if ; inline
147 : iterate-step ( i n quot -- i n quot )
148 #! Apply quot to i, keep i and quot, hide n.
149 [ nip call ] 3keep ; inline
151 : iterate-rot ( ? i n quot -- i n quot ? )
152 [ rot ] dip swap ; inline
154 : iterate-next ( i n quot -- i' n quot ) [ 1 + ] 2dip ; inline
158 : (each-integer) ( ... i n quot: ( ... i -- ... ) -- ... )
159 [ iterate-step iterate-next (each-integer) ]
160 [ 3drop ] if-iterate? ; inline recursive
162 : (find-integer) ( ... i n quot: ( ... i -- ... ? ) -- ... i/f )
164 iterate-step iterate-rot
165 [ 2drop ] [ iterate-next (find-integer) ] if
166 ] [ 3drop f ] if-iterate? ; inline recursive
168 : (all-integers?) ( ... i n quot: ( ... i -- ... ? ) -- ... ? )
170 iterate-step iterate-rot
171 [ iterate-next (all-integers?) ] [ 3drop f ] if
172 ] [ 3drop t ] if-iterate? ; inline recursive
174 : each-integer ( ... n quot: ( ... i -- ... ) -- ... )
175 iterate-prep (each-integer) ; inline
177 : times ( ... n quot: ( ... -- ... ) -- ... )
178 [ drop ] prepose each-integer ; inline
180 : find-integer ( ... n quot: ( ... i -- ... ? ) -- ... i )
181 iterate-prep (find-integer) ; inline
183 : all-integers? ( ... n quot: ( ... i -- ... ? ) -- ... ? )
184 iterate-prep (all-integers?) ; inline
186 : find-last-integer ( ... n quot: ( ... i -- ... ? ) -- ... i )
193 [ 1 - ] dip find-last-integer
195 ] if ; inline recursive