282 lines
6.9 KiB
Factor
282 lines
6.9 KiB
Factor
! Copyright (C) 2005, 2010 Slava Pestov, Joe Groff.
|
|
! See http://factorcode.org/license.txt for BSD license.
|
|
USING: arrays alien.c-types assocs kernel sequences math
|
|
math.functions grouping math.order math.libm math.floats.private
|
|
fry combinators byte-arrays accessors locals ;
|
|
QUALIFIED-WITH: alien.c-types c
|
|
IN: math.vectors
|
|
|
|
GENERIC: vneg ( v -- w )
|
|
M: object vneg [ neg ] map ; inline
|
|
|
|
GENERIC# v+n 1 ( v n -- w )
|
|
M: object v+n [ + ] curry map ; inline
|
|
|
|
GENERIC: n+v ( n v -- w )
|
|
M: object n+v [ + ] with map ; inline
|
|
|
|
GENERIC# v-n 1 ( v n -- w )
|
|
M: object v-n [ - ] curry map ; inline
|
|
|
|
GENERIC: n-v ( n v -- w )
|
|
M: object n-v [ - ] with map ; inline
|
|
|
|
GENERIC# v*n 1 ( v n -- w )
|
|
M: object v*n [ * ] curry map ; inline
|
|
|
|
GENERIC: n*v ( n v -- w )
|
|
M: object n*v [ * ] with map ; inline
|
|
|
|
GENERIC# v/n 1 ( v n -- w )
|
|
M: object v/n [ / ] curry map ; inline
|
|
|
|
GENERIC: n/v ( n v -- w )
|
|
M: object n/v [ / ] with map ; inline
|
|
|
|
GENERIC: v+ ( u v -- w )
|
|
M: object v+ [ + ] 2map ; inline
|
|
|
|
GENERIC: v- ( u v -- w )
|
|
M: object v- [ - ] 2map ; inline
|
|
|
|
GENERIC: [v-] ( u v -- w )
|
|
M: object [v-] [ [-] ] 2map ; inline
|
|
|
|
GENERIC: v* ( u v -- w )
|
|
M: object v* [ * ] 2map ; inline
|
|
|
|
GENERIC: v*high ( u v -- w )
|
|
|
|
<PRIVATE
|
|
: (h+) ( v -- w ) 2 <groups> [ first2 + ] map ;
|
|
PRIVATE>
|
|
|
|
GENERIC: v*hs+ ( u v -- w )
|
|
M: object v*hs+ [ * ] 2map (h+) ; inline
|
|
|
|
GENERIC: v/ ( u v -- w )
|
|
M: object v/ [ / ] 2map ; inline
|
|
|
|
GENERIC: v^ ( u v -- w )
|
|
M: object v^ [ ^ ] 2map ; inline
|
|
|
|
GENERIC: v^n ( v n -- w )
|
|
M: object v^n [ ^ ] curry map ; inline
|
|
|
|
GENERIC: n^v ( n v -- w )
|
|
M: object n^v [ ^ ] with map ; inline
|
|
|
|
GENERIC: vavg ( u v -- w )
|
|
M: object vavg [ + 2 / ] 2map ; inline
|
|
|
|
GENERIC: vmax ( u v -- w )
|
|
M: object vmax [ max ] 2map ; inline
|
|
|
|
GENERIC: vmin ( u v -- w )
|
|
M: object vmin [ min ] 2map ; inline
|
|
|
|
GENERIC: v+- ( u v -- w )
|
|
M: object v+-
|
|
[ t ] 2dip
|
|
[ [ not ] 2dip pick [ + ] [ - ] if ] 2map
|
|
nip ; inline
|
|
|
|
GENERIC: vs+ ( u v -- w )
|
|
M: object vs+ [ + ] 2map ; inline
|
|
|
|
GENERIC: vs- ( u v -- w )
|
|
M: object vs- [ - ] 2map ; inline
|
|
|
|
GENERIC: vs* ( u v -- w )
|
|
M: object vs* [ * ] 2map ; inline
|
|
|
|
GENERIC: vabs ( v -- w )
|
|
M: object vabs [ abs ] map ; inline
|
|
|
|
GENERIC: vsqrt ( v -- w )
|
|
M: object vsqrt [ >float fsqrt ] map ; inline
|
|
|
|
GENERIC: vsad ( u v -- n )
|
|
M: object vsad [ - abs ] [ + ] 2map-reduce ; inline
|
|
|
|
<PRIVATE
|
|
|
|
: bitandn ( x y -- z ) [ bitnot ] dip bitand ; inline
|
|
|
|
PRIVATE>
|
|
|
|
GENERIC: vbitand ( u v -- w )
|
|
M: object vbitand [ bitand ] 2map ; inline
|
|
GENERIC: vbitandn ( u v -- w )
|
|
M: object vbitandn [ bitandn ] 2map ; inline
|
|
GENERIC: vbitor ( u v -- w )
|
|
M: object vbitor [ bitor ] 2map ; inline
|
|
GENERIC: vbitxor ( u v -- w )
|
|
M: object vbitxor [ bitxor ] 2map ; inline
|
|
GENERIC: vbitnot ( v -- w )
|
|
M: object vbitnot [ bitnot ] map ; inline
|
|
|
|
GENERIC# vbroadcast 1 ( u n -- v )
|
|
M:: object vbroadcast ( u n -- v ) u length n u nth <repetition> u like ; inline
|
|
|
|
GENERIC# vshuffle-elements 1 ( v perm -- w )
|
|
M: object vshuffle-elements
|
|
over length 0 pad-tail
|
|
swap [ '[ _ nth ] ] keep map-as ; inline
|
|
|
|
GENERIC# vshuffle2-elements 1 ( u v perm -- w )
|
|
M: object vshuffle2-elements
|
|
[ append ] dip vshuffle-elements ; inline
|
|
|
|
GENERIC# vshuffle-bytes 1 ( v perm -- w )
|
|
|
|
GENERIC: vshuffle ( v perm -- w )
|
|
M: array vshuffle ( v perm -- w )
|
|
vshuffle-elements ; inline
|
|
|
|
GENERIC# vlshift 1 ( v n -- w )
|
|
M: object vlshift '[ _ shift ] map ; inline
|
|
GENERIC# vrshift 1 ( v n -- w )
|
|
M: object vrshift neg '[ _ shift ] map ; inline
|
|
|
|
GENERIC# hlshift 1 ( v n -- w )
|
|
GENERIC# hrshift 1 ( v n -- w )
|
|
|
|
GENERIC: (vmerge-head) ( u v -- h )
|
|
M: object (vmerge-head) over length 2 /i '[ _ head-slice ] bi@ [ zip ] keep concat-as ; inline
|
|
GENERIC: (vmerge-tail) ( u v -- t )
|
|
M: object (vmerge-tail) over length 2 /i '[ _ tail-slice ] bi@ [ zip ] keep concat-as ; inline
|
|
|
|
: (vmerge) ( u v -- h t )
|
|
[ (vmerge-head) ] [ (vmerge-tail) ] 2bi ; inline
|
|
|
|
GENERIC: vmerge ( u v -- w )
|
|
M: object vmerge [ zip ] keep concat-as ; inline
|
|
|
|
GENERIC: vand ( u v -- w )
|
|
M: object vand [ and ] 2map ; inline
|
|
|
|
GENERIC: vandn ( u v -- w )
|
|
M: object vandn [ [ not ] dip and ] 2map ; inline
|
|
|
|
GENERIC: vor ( u v -- w )
|
|
M: object vor [ or ] 2map ; inline
|
|
|
|
GENERIC: vxor ( u v -- w )
|
|
M: object vxor [ xor ] 2map ; inline
|
|
|
|
GENERIC: vnot ( v -- w )
|
|
M: object vnot [ not ] map ; inline
|
|
|
|
GENERIC: vall? ( v -- ? )
|
|
M: object vall? [ ] all? ; inline
|
|
|
|
GENERIC: vcount ( v -- count )
|
|
M: object vcount [ ] count ; inline
|
|
|
|
GENERIC: vany? ( v -- ? )
|
|
M: object vany? [ ] any? ; inline
|
|
|
|
GENERIC: vnone? ( v -- ? )
|
|
M: object vnone? [ not ] all? ; inline
|
|
|
|
GENERIC: v< ( u v -- w )
|
|
M: object v< [ < ] 2map ; inline
|
|
|
|
GENERIC: v<= ( u v -- w )
|
|
M: object v<= [ <= ] 2map ; inline
|
|
|
|
GENERIC: v>= ( u v -- w )
|
|
M: object v>= [ >= ] 2map ; inline
|
|
|
|
GENERIC: v> ( u v -- w )
|
|
M: object v> [ > ] 2map ; inline
|
|
|
|
GENERIC: vunordered? ( u v -- w )
|
|
M: object vunordered? [ unordered? ] 2map ; inline
|
|
|
|
GENERIC: v= ( u v -- w )
|
|
M: object v= [ = ] 2map ; inline
|
|
|
|
GENERIC: v? ( mask true false -- result )
|
|
M: object v?
|
|
[ vand ] [ vandn ] bi-curry* bi vor ; inline
|
|
|
|
: vif ( mask true-quot: ( -- vector ) false-quot: ( -- vector ) -- result )
|
|
{
|
|
{ [ pick vall? ] [ drop nip call ] }
|
|
{ [ pick vnone? ] [ 2nip call ] }
|
|
[ [ call ] dip call v? ]
|
|
} cond ; inline
|
|
|
|
: v>integer ( v -- w ) [ >integer ] map ;
|
|
: vfloor ( v -- w ) [ floor ] map ;
|
|
: vceiling ( v -- w ) [ ceiling ] map ;
|
|
: vtruncate ( v -- w ) [ truncate ] map ;
|
|
|
|
: vsupremum ( seq -- vmax ) [ ] [ vmax ] map-reduce ; inline
|
|
: vinfimum ( seq -- vmin ) [ ] [ vmin ] map-reduce ; inline
|
|
|
|
GENERIC: v. ( u v -- x )
|
|
M: object v. [ * ] [ + ] 2map-reduce ; inline
|
|
|
|
GENERIC: h. ( u v -- x )
|
|
M: object h. [ conjugate * ] [ + ] 2map-reduce ; inline
|
|
|
|
GENERIC: norm-sq ( v -- x )
|
|
M: object norm-sq [ absq ] [ + ] map-reduce ; inline
|
|
|
|
: l1-norm ( v -- x ) [ abs ] map-sum ; inline
|
|
|
|
: norm ( v -- x ) norm-sq sqrt ; inline
|
|
|
|
: p-norm-default ( v p -- x )
|
|
[ [ [ abs ] dip ^ ] curry map-sum ] keep recip ^ ; inline
|
|
|
|
: p-norm ( v p -- x )
|
|
{
|
|
{ [ dup 1 = ] [ drop l1-norm ] }
|
|
{ [ dup 2 = ] [ drop norm ] }
|
|
{ [ dup fp-infinity? ] [ drop supremum ] }
|
|
[ p-norm-default ]
|
|
} cond ;
|
|
|
|
: normalize ( v -- w ) dup norm v/n ; inline
|
|
|
|
GENERIC: distance ( u v -- x )
|
|
M: object distance [ - absq ] [ + ] 2map-reduce sqrt ; inline
|
|
|
|
: set-axis ( u v axis -- w )
|
|
[ [ zero? 2over ? ] dip swap nth ] map-index 2nip ;
|
|
|
|
<PRIVATE
|
|
|
|
: 2tetra@ ( p q r s t u v w quot -- )
|
|
dup [ [ 2bi@ ] curry 4dip ] dip 2bi@ ; inline
|
|
|
|
PRIVATE>
|
|
|
|
: trilerp ( aaa baa aba bba aab bab abb bbb {t,u,v} -- a_tuv )
|
|
[ first lerp ] [ second lerp ] [ third lerp ] tri-curry
|
|
[ 2tetra@ ] [ 2bi@ ] [ call ] tri* ; inline
|
|
|
|
: bilerp ( aa ba ab bb {t,u} -- a_tu )
|
|
[ first lerp ] [ second lerp ] bi-curry
|
|
[ 2bi@ ] [ call ] bi* ; inline
|
|
|
|
: vlerp ( a b t -- a_t )
|
|
[ over v- ] dip v* v+ ; inline
|
|
|
|
: vnlerp ( a b t -- a_t )
|
|
[ over v- ] dip v*n v+ ; inline
|
|
|
|
: vbilerp ( aa ba ab bb {t,u} -- a_tu )
|
|
[ first vnlerp ] [ second vnlerp ] bi-curry
|
|
[ 2bi@ ] [ call ] bi* ; inline
|
|
|
|
: v~ ( a b epsilon -- ? )
|
|
[ ~ ] curry 2all? ; inline
|
|
|
|
: vclamp ( v min max -- w )
|
|
rot vmin vmax ; inline
|