factor/library/math/math.factor

71 lines
2.1 KiB
Factor

! Copyright (C) 2003, 2006 Slava Pestov.
! See http://factorcode.org/license.txt for BSD license.
IN: math
USING: errors generic kernel math-internals ;
G: number= ( x y -- ? ) math-combination ; foldable
M: object number= 2drop f ;
G: < ( x y -- ? ) math-combination ; foldable
G: <= ( x y -- ? ) math-combination ; foldable
G: > ( x y -- ? ) math-combination ; foldable
G: >= ( x y -- ? ) math-combination ; foldable
G: + ( x y -- x+y ) math-combination ; foldable
G: - ( x y -- x-y ) math-combination ; foldable
G: * ( x y -- x*y ) math-combination ; foldable
G: / ( x y -- x/y ) math-combination ; foldable
G: /i ( x y -- x/y ) math-combination ; foldable
G: /f ( x y -- x/y ) math-combination ; foldable
G: mod ( x y -- x%y ) math-combination ; foldable
G: /mod ( x y -- x/y x%y ) math-combination ; foldable
G: bitand ( x y -- z ) math-combination ; foldable
G: bitor ( x y -- z ) math-combination ; foldable
G: bitxor ( x y -- z ) math-combination ; foldable
G: shift ( x n -- y ) math-combination ; foldable
GENERIC: bitnot ( n -- n ) foldable
GENERIC: abs ( z -- |z| ) foldable
GENERIC: absq ( n -- |n|^2 ) foldable
GENERIC: zero? ( x -- ? ) foldable
M: object zero? drop f ;
: 1+ 1 + ; foldable
: 1- 1 - ; foldable
: sq dup * ; foldable
: neg 0 swap - ; foldable
: recip 1 swap / ; foldable
: max ( x y -- z ) [ > ] 2keep ? ; foldable
: min ( x y -- z ) [ < ] 2keep ? ; foldable
: between? ( x min max -- ? ) pick >= >r >= r> and ; foldable
: rem ( x y -- z ) tuck mod over + swap mod ; foldable
: sgn ( m -- n ) dup 0 < -1 0 ? swap 0 > 1 0 ? bitor ; foldable
: align ( m w -- n ) 1- [ + ] keep bitnot bitand ; inline
: truncate ( x -- y ) dup 1 mod - ; foldable
: floor ( x -- y )
dup 1 mod dup zero?
[ drop ] [ dup 0 < [ - 1- ] [ - ] if ] if ; foldable
: ceiling ( x -- y ) neg floor neg ; foldable
: [-] - 0 max ; inline
: (repeat) ( i n quot -- )
pick pick >= [
3drop
] [
[ swap >r call 1+ r> ] keep (repeat)
] if ; inline
: repeat 0 -rot (repeat) ; inline
: times ( n quot -- )
swap [ >r dup slip r> ] repeat drop ; inline
GENERIC: number>string ( n -- str ) foldable