Merge branch 'master' of git://factorcode.org/git/factor
commit
d89bb9f1c3
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@ -7,6 +7,7 @@ IN: math.constants
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: euler ( -- gamma ) 0.57721566490153286060 ; inline
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: phi ( -- phi ) 1.61803398874989484820 ; inline
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: pi ( -- pi ) 3.14159265358979323846 ; inline
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: 2pi ( -- pi ) 2 pi * ; inline
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: epsilon ( -- epsilon ) 2.2204460492503131e-16 ; inline
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: smallest-float ( -- x ) HEX: 1 bits>double ; foldable
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: largest-float ( -- x ) HEX: 7fefffffffffffff bits>double ; foldable
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@ -23,7 +23,7 @@ M: real sqrt
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<PRIVATE
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GENERIC# ^n 1 ( z w -- z^w )
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GENERIC# ^n 1 ( z w -- z^w ) foldable
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: (^n) ( z w -- z^w )
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make-bits 1 [ [ dupd * ] when [ sq ] dip ] reduce nip ; inline
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@ -1,28 +1,32 @@
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! Copyright (C) 2008 Doug Coleman.
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! See http://factorcode.org/license.txt for BSD license.
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USING: combinators kernel locals math math.functions math.ranges
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random sequences sets combinators.short-circuit ;
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random sequences sets combinators.short-circuit math.bitwise ;
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IN: math.miller-rabin
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<PRIVATE
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: >odd ( n -- int ) dup even? [ 1 + ] when ; foldable
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: >even ( n -- int ) 0 clear-bit ; foldable
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TUPLE: positive-even-expected n ;
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:: (miller-rabin) ( n trials -- ? )
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n 1 - :> n-1
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n-1 factor-2s :> s :> r
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0 :> a!
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t :> prime?!
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trials [
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drop
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n 1 - [1,b] random a!
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a s n ^mod 1 = [
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f
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] [
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r iota [
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2^ s * a swap n ^mod n - -1 =
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] any? not [ f prime?! trials + ] when
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] unless drop
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] each prime? ;
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] any? not
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] if
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] any? not ;
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PRIVATE>
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@ -83,7 +87,6 @@ ERROR: too-few-primes ;
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1 + 6 divisor? ;
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: next-safe-prime-candidate ( n -- candidate )
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1 - 2/
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next-prime dup safe-prime-candidate?
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[ next-safe-prime-candidate ] unless ;
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@ -96,10 +99,14 @@ PRIVATE>
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} 1&& ;
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: next-safe-prime ( n -- q )
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1 - >even 2 /
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next-safe-prime-candidate
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dup >safe-prime-form
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dup miller-rabin
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[ nip ] [ drop next-safe-prime ] if ;
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: random-bits* ( numbits -- n )
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[ random-bits ] keep set-bit ;
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: random-safe-prime ( numbits -- p )
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random-bits next-safe-prime ;
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1- random-bits* next-safe-prime ;
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@ -3,7 +3,7 @@
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USING: alien.c-types kernel math namespaces sequences
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io.backend io.binary combinators system vocabs.loader
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summary math.bitwise byte-vectors fry byte-arrays
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math.ranges ;
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math.ranges math.constants math.functions ;
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IN: random
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SYMBOL: system-random-generator
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@ -69,6 +69,17 @@ PRIVATE>
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: with-secure-random ( quot -- )
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secure-random-generator get swap with-random ; inline
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: uniform-random-float ( min max -- n )
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64 random-bits >float [ over - 2.0 -64 ^ * ] dip
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* + ;
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: normal-random-float ( mean sigma -- n )
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0.0 1.0 uniform-random-float
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0.0 1.0 uniform-random-float
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[ 2 pi * * cos ]
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[ 1.0 swap - log -2.0 * sqrt ]
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bi* * * + ;
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USE: vocabs.loader
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{
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@ -1,4 +1,4 @@
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USING: byte-arrays combinators images kernel locals math
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USING: byte-arrays combinators images kernel locals math math.affine-transforms
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math.functions math.polynomials math.vectors random sequences
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sequences.product ;
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IN: perlin-noise
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@ -70,14 +70,14 @@ IN: perlin-noise
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[ faded second lerp ] 2bi@
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faded third lerp ;
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: noise-map ( table scale dim -- map )
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[ iota ] map [ v* 0.0 suffix noise ] with with product-map ;
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: noise-map ( table transform dim -- map )
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[ iota ] map [ a.v 0.0 suffix noise ] with with product-map ;
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: normalize ( sequence -- sequence' )
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: normalize-0-1 ( sequence -- sequence' )
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[ supremum ] [ infimum [ - ] keep ] [ ] tri
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[ swap - ] with map [ swap / ] with map ;
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: noise-image ( table scale dim -- image )
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[ noise-map normalize [ 255.0 * >fixnum ] B{ } map-as ]
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: noise-image ( table transform dim -- image )
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[ noise-map normalize-0-1 [ 255.0 * >fixnum ] B{ } map-as ]
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[ swap [ L f ] dip image boa ] bi ;
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