factor/extra/noise/noise.factor

122 lines
3.4 KiB
Factor

USING: byte-arrays combinators fry images kernel locals math
math.affine-transforms math.functions math.order
math.polynomials math.vectors random random.mersenne-twister
sequences sequences.product ;
IN: noise
: <perlin-noise-table> ( -- table )
256 iota >byte-array randomize dup append ;
: with-seed ( seed quot -- )
[ <mersenne-twister> ] dip with-random ; inline
<PRIVATE
: fade ( point -- point' )
{ 0.0 0.0 0.0 10.0 -15.0 6.0 } swap [ polyval ] with map ;
:: grad ( hash gradients -- gradient )
hash 8 bitand zero? [ gradients first ] [ gradients second ] if
:> u
hash 12 bitand zero?
[ gradients second ]
[ hash 13 bitand 12 = [ gradients first ] [ gradients third ] if ] if
:> v
hash 1 bitand zero? [ u ] [ u neg ] if
hash 2 bitand zero? [ v ] [ v neg ] if + ;
: unit-cube ( point -- cube )
[ floor >fixnum 256 mod ] map ;
:: hashes ( table cube -- aaa baa aba bba aab bab abb bbb )
cube first :> x
cube second :> y
cube third :> z
x table nth y + :> a
x 1 + table nth y + :> b
a table nth z + :> aa
b table nth z + :> ba
a 1 + table nth z + :> ab
b 1 + table nth z + :> bb
aa table nth
ba table nth
ab table nth
bb table nth
aa 1 + table nth
ba 1 + table nth
ab 1 + table nth
bb 1 + table nth ;
:: 2tetra@ ( p q r s t u v w quot -- )
p q quot call
r s quot call
t u quot call
v w quot call
; inline
: >byte-map ( floats -- bytes )
[ 255.0 * >fixnum ] B{ } map-as ;
: >image ( bytes dim -- image )
swap [ L f ] dip image boa ;
PRIVATE>
:: perlin-noise ( table point -- value )
point unit-cube :> cube
point dup vfloor v- :> gradients
gradients fade :> faded
table cube hashes {
[ gradients grad ]
[ gradients { -1.0 0.0 0.0 } v+ grad ]
[ gradients { 0.0 -1.0 0.0 } v+ grad ]
[ gradients { -1.0 -1.0 0.0 } v+ grad ]
[ gradients { 0.0 0.0 -1.0 } v+ grad ]
[ gradients { -1.0 0.0 -1.0 } v+ grad ]
[ gradients { 0.0 -1.0 -1.0 } v+ grad ]
[ gradients { -1.0 -1.0 -1.0 } v+ grad ]
} spread
[ faded first lerp ] 2tetra@
[ faded second lerp ] 2bi@
faded third lerp ;
: normalize-0-1 ( sequence -- sequence' )
[ supremum ] [ infimum [ - ] keep ] [ ] tri
[ swap - ] with map [ swap / ] with map ;
: clamp-0-1 ( sequence -- sequence' )
[ 0.0 max 1.0 min ] map ;
: perlin-noise-map ( table transform dim -- map )
[ iota ] map [ a.v 0.0 suffix perlin-noise ] with with product-map ;
: perlin-noise-byte-map ( table transform dim -- map )
perlin-noise-map normalize-0-1 >byte-map ;
: perlin-noise-image ( table transform dim -- image )
[ perlin-noise-byte-map ] [ >image ] bi ;
: uniform-noise-map ( seed dim -- map )
[ product [ 0.0 1.0 uniform-random-float ] replicate ]
curry with-seed ;
: uniform-noise-byte-map ( seed dim -- map )
uniform-noise-map >byte-map ;
: uniform-noise-image ( seed dim -- image )
[ uniform-noise-byte-map ] [ >image ] bi ;
: normal-noise-map ( seed sigma dim -- map )
swap '[ _ product [ 0.5 _ normal-random-float ] replicate ]
with-seed ;
: normal-noise-byte-map ( seed sigma dim -- map )
normal-noise-map clamp-0-1 >byte-map ;
: normal-noise-image ( seed sigma dim -- image )
[ normal-noise-byte-map ] [ >image ] bi ;