Merge branch 'master' of git://factorcode.org/git/factor
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Daniel Ehrenberg
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! Copyright (C) 2009 Daniel Ehrenberg
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! See http://factorcode.org/license.txt for BSD license.
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USING: help.syntax help.markup math ;
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IN: math.bits
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ABOUT: "math.bits"
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ARTICLE: "math.bits" "Number bits virtual sequence"
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{ $subsection bits }
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{ $subsection <bits> }
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{ $subsection make-bits } ;
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HELP: bits
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{ $class-description "Virtual sequence class of bits of a number. The first bit is the least significant bit. This can be constructed with " { $link <bits> } " or " { $link make-bits } "." } ;
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HELP: <bits>
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{ $values { "number" integer } { "length" integer } { "bits" bits } }
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{ $description "Creates a virtual sequence of bits of a number in little endian order, with the given length." } ;
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HELP: make-bits
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{ $values { "number" integer } { "bits" bits } }
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{ $description "Creates a " { $link bits } " object out of the given number, using its log base 2 as the length. This implies that the last element, corresponding to the most significant bit, will be 1." }
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{ $examples
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{ $example "USING: math.bits prettyprint arrays ;" "BIN: 1101 make-bits >array ." "{ t f t t }" }
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{ $example "USING: math.bits prettyprint arrays ;" "-3 make-bits >array ." "{ t f }" }
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} ;
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! Copyright (C) 2009 Daniel Ehrenberg
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! See http://factorcode.org/license.txt for BSD license.
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USING: tools.test math.bits sequences arrays ;
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IN: math.bits.tests
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[ t ] [ BIN: 111111 3 <bits> second ] unit-test
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[ { t t t } ] [ BIN: 111111 3 <bits> >array ] unit-test
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[ f ] [ BIN: 111101 3 <bits> second ] unit-test
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[ { f f t } ] [ BIN: 111100 3 <bits> >array ] unit-test
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[ 3 ] [ BIN: 111111 3 <bits> length ] unit-test
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[ 6 ] [ BIN: 111111 make-bits length ] unit-test
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[ 0 ] [ 0 make-bits length ] unit-test
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[ 2 ] [ 3 make-bits length ] unit-test
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[ 2 ] [ -3 make-bits length ] unit-test
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[ 1 ] [ 1 make-bits length ] unit-test
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[ 1 ] [ -1 make-bits length ] unit-test
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! Copyright (C) 2009 Daniel Ehrenberg
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! See http://factorcode.org/license.txt for BSD license.
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USING: sequences kernel math accessors sequences.private ;
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IN: math.bits
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TUPLE: bits { number read-only } { length read-only } ;
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C: <bits> bits
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: make-bits ( number -- bits )
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dup zero? [ drop T{ bits f 0 0 } ] [ dup abs log2 1+ <bits> ] if ; inline
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M: bits length length>> ;
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M: bits nth-unsafe number>> swap bit? ;
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INSTANCE: bits immutable-sequence
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Virtual sequence for bits of an integer
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! Copyright (C) 2007, 2008 Slava Pestov, Doug Coleman.
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! Copyright (C) 2007, 2008 Slava Pestov, Doug Coleman.
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! See http://factorcode.org/license.txt for BSD license.
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! See http://factorcode.org/license.txt for BSD license.
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USING: arrays kernel math math.functions sequences
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USING: arrays kernel math sequences accessors math.bits
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sequences.private words namespaces macros hints
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sequences.private words namespaces macros hints
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combinators fry io.binary combinators.smart ;
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combinators fry io.binary combinators.smart ;
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IN: math.bitwise
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IN: math.bitwise
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@ -65,7 +65,7 @@ DEFER: byte-bit-count
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\ byte-bit-count
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\ byte-bit-count
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256 [
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256 [
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0 swap [ [ 1+ ] when ] each-bit
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8 <bits> 0 [ [ 1+ ] when ] reduce
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] B{ } map-as '[ HEX: ff bitand _ nth-unsafe ]
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] B{ } map-as '[ HEX: ff bitand _ nth-unsafe ]
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(( byte -- table )) define-declared
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(( byte -- table )) define-declared
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@ -278,14 +278,6 @@ HELP: mod-inv
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{ $example "USING: math prettyprint ;" "173 815 * 1119 mod ." "1" }
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{ $example "USING: math prettyprint ;" "173 815 * 1119 mod ." "1" }
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} ;
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} ;
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HELP: each-bit
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{ $values { "n" integer } { "quot" { $quotation "( ? -- )" } } }
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{ $description "Applies the quotation to each bit of the integer, starting from the least significant bit, and stopping at the last bit from which point on all bits are either clear (if the integer is positive) or all bits are set (if the integer is negataive)." }
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{ $examples
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{ $example "USING: math.functions make prettyprint ;" "[ BIN: 1101 [ , ] each-bit ] { } make ." "{ t f t t }" }
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{ $example "USING: math.functions make prettyprint ;" "[ -3 [ , ] each-bit ] { } make ." "{ t f }" }
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} ;
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HELP: ~
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HELP: ~
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{ $values { "x" real } { "y" real } { "epsilon" real } { "?" "a boolean" } }
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{ $values { "x" real } { "y" real } { "epsilon" real } { "?" "a boolean" } }
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{ $description "Tests if " { $snippet "x" } " and " { $snippet "y" } " are approximately equal to each other. There are three possible comparison tests, chosen based on the sign of " { $snippet "epsilon" } ":"
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{ $description "Tests if " { $snippet "x" } " and " { $snippet "y" } " are approximately equal to each other. There are three possible comparison tests, chosen based on the sign of " { $snippet "epsilon" } ":"
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! Copyright (C) 2004, 2008 Slava Pestov.
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! Copyright (C) 2004, 2008 Slava Pestov.
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! See http://factorcode.org/license.txt for BSD license.
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! See http://factorcode.org/license.txt for BSD license.
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USING: math kernel math.constants math.private
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USING: math kernel math.constants math.private math.bits
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math.libm combinators math.order sequences ;
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math.libm combinators math.order sequences ;
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IN: math.functions
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IN: math.functions
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@ -26,16 +26,6 @@ GENERIC: sqrt ( x -- y ) foldable
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M: real sqrt
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M: real sqrt
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>float dup 0.0 < [ neg fsqrt 0.0 swap rect> ] [ fsqrt ] if ;
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>float dup 0.0 < [ neg fsqrt 0.0 swap rect> ] [ fsqrt ] if ;
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: each-bit ( n quot: ( ? -- ) -- )
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over [ 0 = ] [ -1 = ] bi or [
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2drop
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] [
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2dup { [ odd? ] [ call ] [ 2/ ] [ each-bit ] } spread
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] if ; inline recursive
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: map-bits ( n quot: ( ? -- obj ) -- seq )
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accumulator [ each-bit ] dip ; inline
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: factor-2s ( n -- r s )
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: factor-2s ( n -- r s )
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#! factor an integer into 2^r * s
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#! factor an integer into 2^r * s
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dup 0 = [ 1 ] [
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dup 0 = [ 1 ] [
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GENERIC# ^n 1 ( z w -- z^w )
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GENERIC# ^n 1 ( z w -- z^w )
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: (^n) ( z w -- z^w )
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: (^n) ( z w -- z^w )
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1 swap [ [ dupd * ] when [ sq ] dip ] each-bit nip ; inline
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make-bits 1 [ [ dupd * ] when [ sq ] dip ] reduce nip ; inline
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M: integer ^n
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M: integer ^n
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[ factor-2s ] dip [ (^n) ] keep rot * shift ;
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[ factor-2s ] dip [ (^n) ] keep rot * shift ;
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dup zero? [ drop 0./0. ] [ 0 < 1./0. 0 ? ] if ; inline
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dup zero? [ drop 0./0. ] [ 0 < 1./0. 0 ? ] if ; inline
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: (^mod) ( n x y -- z )
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: (^mod) ( n x y -- z )
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1 swap [
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make-bits 1 [
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[ dupd * pick mod ] when [ sq over mod ] dip
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[ dupd * pick mod ] when [ sq over mod ] dip
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] each-bit 2nip ; inline
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] reduce 2nip ; inline
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: (gcd) ( b a x y -- a d )
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: (gcd) ( b a x y -- a d )
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over zero? [
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over zero? [
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! Copyright (C) 2008 Doug Coleman.
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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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! See http://factorcode.org/license.txt for BSD license.
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USING: kernel base64 checksums.md5 sequences checksums
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USING: kernel base64 checksums.md5 sequences checksums
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locals prettyprint math math.bitwise grouping io combinators
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locals prettyprint math math.bits grouping io combinators
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fry make combinators.short-circuit math.functions splitting ;
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fry make combinators.short-circuit math.functions splitting ;
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IN: crypto.passwd-md5
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IN: crypto.passwd-md5
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password length
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password length
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[ 16 / ceiling swap <repetition> concat ] keep
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[ 16 / ceiling swap <repetition> concat ] keep
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head-slice append
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head-slice append
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password [ length ] [ first ] bi
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password [ length make-bits ] [ first ] bi
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'[ [ CHAR: \0 _ ? , ] each-bit ] "" make append
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'[ CHAR: \0 _ ? ] "" map-as append
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md5 checksum-bytes ] |
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md5 checksum-bytes ] |
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1000 [
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1000 [
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"" swap
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"" swap
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