Merge branch 'master' of git://factorcode.org/git/factor

db4
Slava Pestov 2009-05-07 19:47:42 -05:00
commit b9169a6de2
6 changed files with 160 additions and 23 deletions

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@ -233,7 +233,7 @@ big-endian off
temp0 temp2 ADD
! if(get(cache) == class)
temp0 [] temp1 CMP
bootstrap-cell 4 = 14 18 ? JNE ! Yuck!
bootstrap-cell 4 = 14 22 ? JNE ! Yuck!
! megamorphic_cache_hits++
temp1 0 MOV rc-absolute-cell rt-megamorphic-cache-hits jit-rel
temp1 [] 1 ADD

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@ -21,7 +21,7 @@ CONSTANT: five 5
USING: kernel literals prettyprint ;
IN: scratchpad
<< : seven-eleven ( -- a b ) 7 11 ; >>
: seven-eleven ( -- a b ) 7 11 ;
{ $ seven-eleven } .
"> "{ 7 11 }" }
@ -43,7 +43,24 @@ IN: scratchpad
} ;
{ POSTPONE: $ POSTPONE: $[ } related-words
HELP: ${
{ $syntax "${ code }" }
{ $description "Outputs an array containing the results of executing " { $snippet "code" } " at parse time." }
{ $notes { $snippet "code" } "'s definition is looked up and " { $link call } "ed at parse time, so words that reference words in the current compilation unit cannot be used with " { $snippet "$" } "." }
{ $examples
{ $example <"
USING: kernel literals math prettyprint ;
IN: scratchpad
CONSTANT: five 5
CONSTANT: six 6
${ five six 7 } .
"> "{ 5 6 7 }"
}
} ;
{ POSTPONE: $ POSTPONE: $[ POSTPONE: ${ } related-words
ARTICLE: "literals" "Interpolating code results into literal values"
"The " { $vocab-link "literals" } " vocabulary contains words to run code at parse time and insert the results into more complex literal values."
@ -51,11 +68,12 @@ ARTICLE: "literals" "Interpolating code results into literal values"
USING: kernel literals math prettyprint ;
IN: scratchpad
<< CONSTANT: five 5 >>
CONSTANT: five 5
{ $ five $[ five dup 1+ dup 2 + ] } .
"> "{ 5 5 6 8 }" }
{ $subsection POSTPONE: $ }
{ $subsection POSTPONE: $[ }
{ $subsection POSTPONE: ${ }
;
ABOUT: "literals"

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@ -0,0 +1,100 @@
! Copyright (C) 2009 Doug Coleman.
! See http://factorcode.org/license.txt for BSD license.
USING: help.markup help.syntax kernel sequences math ;
IN: math.miller-rabin
HELP: find-relative-prime
{ $values
{ "n" integer }
{ "p" integer }
}
{ $description "Returns a number that is relatively prime to " { $snippet "n" } "." } ;
HELP: find-relative-prime*
{ $values
{ "n" integer } { "guess" integer }
{ "p" integer }
}
{ $description "Returns a number that is relatively prime to " { $snippet "n" } ", starting by trying " { $snippet "guess" } "." } ;
HELP: miller-rabin
{ $values
{ "n" integer }
{ "?" "a boolean" }
}
{ $description "Returns true if the number is a prime. Calls " { $link miller-rabin* } " with a default of 10 Miller-Rabin tests." } ;
{ miller-rabin miller-rabin* } related-words
HELP: miller-rabin*
{ $values
{ "n" integer } { "numtrials" integer }
{ "?" "a boolean" }
}
{ $description "Performs " { $snippet "numtrials" } " trials of the Miller-Rabin probabilistic primality test algorithm and returns true if prime." } ;
HELP: next-prime
{ $values
{ "n" integer }
{ "p" integer }
}
{ $description "Tests consecutive numbers for primality with " { $link miller-rabin } " and returns the next prime." } ;
HELP: next-safe-prime
{ $values
{ "n" integer }
{ "q" integer }
}
{ $description "Tests consecutive numbers and returns the next safe prime. A safe prime is desirable in cryptography applications such as Diffie-Hellman and SRP6." } ;
HELP: random-bits*
{ $values
{ "numbits" integer }
{ "n" integer }
}
{ $description "Returns an integer exactly " { $snippet "numbits" } " in length, with the topmost bit set to one." } ;
HELP: random-prime
{ $values
{ "numbits" integer }
{ "p" integer }
}
{ $description "Returns a prime number exactly " { $snippet "numbits" } " bits in length, with the topmost bit set to one." } ;
HELP: random-safe-prime
{ $values
{ "numbits" integer }
{ "p" integer }
}
{ $description "Returns a safe prime number " { $snippet "numbits" } " bits in length, with the topmost bit set to one." } ;
HELP: safe-prime?
{ $values
{ "q" integer }
{ "?" "a boolean" }
}
{ $description "Tests whether the number is a safe prime. A safe prime " { $snippet "p" } " must be prime, as must " { $snippet "(p - 1) / 2" } "." } ;
HELP: unique-primes
{ $values
{ "numbits" integer } { "n" integer }
{ "seq" sequence }
}
{ $description "Generates a sequence of " { $snippet "n" } " unique prime numbers with exactly " { $snippet "numbits" } " bits." } ;
ARTICLE: "math.miller-rabin" "Miller-Rabin probabilistic primality test"
"The " { $vocab-link "math.miller-rabin" } " vocabulary implements the Miller-Rabin probabilistic primality test and utility words that use it in order to generate random prime numbers." $nl
"The Miller-Rabin probabilistic primality test:"
{ $subsection miller-rabin }
{ $subsection miller-rabin* }
"Generating relative prime numbers:"
{ $subsection find-relative-prime }
{ $subsection find-relative-prime* }
"Generating prime numbers:"
{ $subsection next-prime }
{ $subsection random-prime }
"Generating safe prime numbers:"
{ $subsection next-safe-prime }
{ $subsection random-safe-prime } ;
ABOUT: "math.miller-rabin"

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@ -1,4 +1,5 @@
USING: math.miller-rabin tools.test kernel sequences ;
USING: math.miller-rabin tools.test kernel sequences
math.miller-rabin.private math ;
IN: math.miller-rabin.tests
[ f ] [ 473155932665450549999756893736999469773678960651272093993257221235459777950185377130233556540099119926369437865330559863 miller-rabin ] unit-test
@ -6,6 +7,9 @@ IN: math.miller-rabin.tests
[ t ] [ 3 miller-rabin ] unit-test
[ f ] [ 36 miller-rabin ] unit-test
[ t ] [ 37 miller-rabin ] unit-test
[ 2 ] [ 1 next-prime ] unit-test
[ 3 ] [ 2 next-prime ] unit-test
[ 5 ] [ 3 next-prime ] unit-test
[ 101 ] [ 100 next-prime ] unit-test
[ t ] [ 2135623355842621559 miller-rabin ] unit-test
[ 100000000000031 ] [ 100000000000000 next-prime ] unit-test
@ -14,6 +18,12 @@ IN: math.miller-rabin.tests
[ f ] [ 862 safe-prime? ] unit-test
[ t ] [ 7 safe-prime? ] unit-test
[ f ] [ 31 safe-prime? ] unit-test
[ t ] [ 47 safe-prime-candidate? ] unit-test
[ t ] [ 47 safe-prime? ] unit-test
[ t ] [ 863 safe-prime? ] unit-test
[ f ] [ 1000 [ drop 15 miller-rabin ] any? ] unit-test
[ 47 ] [ 31 next-safe-prime ] unit-test
[ 49 ] [ 50 random-prime log2 ] unit-test
[ 49 ] [ 50 random-bits* log2 ] unit-test

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@ -1,15 +1,20 @@
! Copyright (C) 2008 Doug Coleman.
! See http://factorcode.org/license.txt for BSD license.
USING: combinators kernel locals math math.functions math.ranges
random sequences sets combinators.short-circuit math.bitwise ;
random sequences sets combinators.short-circuit math.bitwise
math math.order ;
IN: math.miller-rabin
<PRIVATE
: >odd ( n -- int ) dup even? [ 1 + ] when ; foldable
: >odd ( n -- int ) 0 set-bit ; foldable
: >even ( n -- int ) 0 clear-bit ; foldable
: next-even ( m -- n ) >even 2 + ;
: next-odd ( m -- n ) dup even? [ 1 + ] [ 2 + ] if ;
TUPLE: positive-even-expected n ;
:: (miller-rabin) ( n trials -- ? )
@ -18,7 +23,7 @@ TUPLE: positive-even-expected n ;
0 :> a!
trials [
drop
n 1 - [1,b] random a!
2 n 2 - [a,b] random a!
a s n ^mod 1 = [
f
] [
@ -30,8 +35,6 @@ TUPLE: positive-even-expected n ;
PRIVATE>
: next-odd ( m -- n ) dup even? [ 1 + ] [ 2 + ] if ;
: miller-rabin* ( n numtrials -- ? )
over {
{ [ dup 1 <= ] [ 3drop f ] }
@ -42,11 +45,21 @@ PRIVATE>
: miller-rabin ( n -- ? ) 10 miller-rabin* ;
ERROR: prime-range-error n ;
: next-prime ( n -- p )
next-odd dup miller-rabin [ next-prime ] unless ;
dup 1 < [ prime-range-error ] when
dup 1 = [
drop 2
] [
next-odd dup miller-rabin [ next-prime ] unless
] if ;
: random-bits* ( numbits -- n )
1 - [ random-bits ] keep set-bit ;
: random-prime ( numbits -- p )
random-bits next-prime ;
random-bits* next-prime ;
ERROR: no-relative-prime n ;
@ -80,10 +93,7 @@ ERROR: too-few-primes ;
<PRIVATE
: >safe-prime-form ( q -- p ) 2 * 1 + ;
: safe-prime-candidate? ( n -- ? )
>safe-prime-form
1 + 6 divisor? ;
: next-safe-prime-candidate ( n -- candidate )
@ -99,14 +109,8 @@ PRIVATE>
} 1&& ;
: next-safe-prime ( n -- q )
1 - >even 2 /
next-safe-prime-candidate
dup >safe-prime-form
dup miller-rabin
[ nip ] [ drop next-safe-prime ] if ;
: random-bits* ( numbits -- n )
[ random-bits ] keep set-bit ;
dup safe-prime? [ next-safe-prime ] unless ;
: random-safe-prime ( numbits -- p )
1- random-bits* next-safe-prime ;
random-bits* next-safe-prime ;

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@ -117,6 +117,7 @@ HELP: seek-relative
}
{ $description "Seeks to an offset from the current position of the stream pointer." } ;
{ seek-absolute seek-relative seek-end } related-words
HELP: seek-input
{ $values
@ -343,6 +344,10 @@ $nl
{ $subsection bl }
"Seeking on the default output stream:"
{ $subsection seek-output }
"Seeking descriptors:"
{ $subsection seek-absolute }
{ $subsection seek-relative }
{ $subsection seek-end }
"A pair of combinators for rebinding the " { $link output-stream } " variable:"
{ $subsection with-output-stream }
{ $subsection with-output-stream* }