Initial checkin.

Implement the Whirlpool cryptographic hashing function.

2 files changed, 902 insertions, 0 deletions

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+                    GNU AFFERO GENERAL PUBLIC LICENSE
+                       Version 3, 19 November 2007
+
+ Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+                            Preamble
+
+  The GNU Affero General Public License is a free, copyleft license for
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+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
+THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
+GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
+USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
+DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
+PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
+EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGES.
+
+  17. Interpretation of Sections 15 and 16.
+
+  If the disclaimer of warranty and limitation of liability provided
+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+                     END OF TERMS AND CONDITIONS
+
+            How to Apply These Terms to Your New Programs
+
+  If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+  To do so, attach the following notices to the program.  It is safest
+to attach them to the start of each source file to most effectively
+state the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+    <one line to give the program's name and a brief idea of what it does.>
+    Copyright (C) <year>  <name of author>
+
+    This program is free software: you can redistribute it and/or modify
+    it under the terms of the GNU Affero General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU Affero General Public License for more details.
+
+    You should have received a copy of the GNU Affero General Public License
+    along with this program.  If not, see <http://www.gnu.org/licenses/>.
+
+Also add information on how to contact you by electronic and paper mail.
+
+  If your software can interact with users remotely through a computer
+network, you should also make sure that it provides a way for users to
+get its source.  For example, if your program is a web application, its
+interface could display a "Source" link that leads users to an archive
+of the code.  There are many ways you could offer source, and different
+solutions will be better for different programs; see section 13 for the
+specific requirements.
+
+  You should also get your employer (if you work as a programmer) or school,
+if any, to sign a "copyright disclaimer" for the program, if necessary.
+For more information on this, and how to apply and follow the GNU AGPL, see
+<http://www.gnu.org/licenses/>.
diff --git a/whirlpool.rkt b/whirlpool.rkt
new file mode 100644
index 0000000..af2694f
--- /dev/null
+++ b/whirlpool.rkt
@@ -0,0 +1,241 @@
+#lang typed/racket
+;;; Copyright 2011, Matthias Andreas Benkard.
+;;;
+;;; This program is free software: you can redistribute it and/or modify
+;;; it under the terms of the GNU Affero General Public License as published by
+;;; the Free Software Foundation, either version 3 of the License, or
+;;; (at your option) any later version.
+;;;
+;;; This program is distributed in the hope that it will be useful,
+;;; but WITHOUT ANY WARRANTY; without even the implied warranty of
+;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+;;; GNU Affero General Public License for more details.
+;;;
+;;; You should have received a copy of the GNU Affero General Public License
+;;; along with this program.  If not, see <http://www.gnu.org/licenses/>.
+
+(provide: [whirlpool (Bytes -> Exact-Nonnegative-Integer)])
+
+(define-type Matrix Exact-Nonnegative-Integer)
+
+(define rounds 10)
+
+(define: (matrix-index [i : Byte] [j : Byte]) : Integer
+  (- 512
+     (+ (* 64 i) (* 8 j))
+     8))
+
+(define: (matrix-ref [m : Matrix]
+                     [i : Byte]
+                     [j : Byte])
+  : Byte
+  (bitwise-and (arithmetic-shift m (- (matrix-index i j)))
+               #xff))
+
+;; Unused.
+(define: (matrix-set [m : Matrix]
+                     [i : Byte]
+                     [j : Byte]
+                     [v : Byte])
+  : Matrix
+  (bitwise-ior (bitwise-and m
+                            (bitwise-not
+                             (arithmetic-shift #xff (matrix-index i j))))
+               (arithmetic-shift v (matrix-index i j))))
+
+(define-syntax first-2value
+  (syntax-rules ()
+    [(_ e) (let-values ([(x y) e]) x)]))
+
+(define: (matrix-map [f : (Byte -> Byte)] [m : Matrix])
+  : Matrix
+  (make-matrix
+   (λ (i j)
+     (f (matrix-ref m i j)))))
+
+(define: (make-matrix [proc : (Byte Byte -> Byte)]) : Matrix
+  (for*/fold: ([m : Matrix 0])
+              ([i : Index (in-range 0 8)]
+               [j : Index (in-range 0 8)])
+    (bitwise-ior (proc (assert i byte?) (assert j byte?))
+                 (arithmetic-shift m 8))))
+
+(define: (print-matrix [m : Matrix]) : Void
+  (printf "~a" (format-matrix m)))
+
+(define: (format-matrix [m : Matrix]) : String
+  (with-output-to-string
+   (λ ()
+     (for ([i (in-range 0 8)])
+       (printf "| ")
+       (for ([j (in-range 0 8)])
+         (let ([b (matrix-ref m (assert i byte?) (assert j byte?))])
+           (if (> b #xf)
+               (printf "~x " b)
+               (printf " ~x " b))))
+       (printf "|~%"))
+     (printf "~%"))))
+
+
+(define: (reverse-minibox [box : (Vectorof Byte)])
+  : (Vectorof Byte)
+  (let: ([antibox : (Vectorof Byte) (make-vector 16 0)])
+    (for: ([i : Index (in-range 0 16)])
+      (vector-set! antibox (vector-ref box i) (assert i byte?)))
+    (vector->immutable-vector antibox)))
+
+(define: C-box : (Vector Byte Byte Byte Byte Byte Byte Byte Byte)
+  #(#x1 #x1 #x4 #x1 #x8 #x5 #x2 #x9))
+(define: S-box : (Vectorof Byte)
+  #(#x18 #x23 #xc6 #xE8 #x87 #xB8 #x01 #x4F #x36 #xA6 #xd2 #xF5 #x79 #x6F #x91 #x52 #x60 #xBc #x9B #x8E #xA3 #x0c #x7B #x35 #x1d #xE0 #xd7 #xc2 #x2E #x4B #xFE #x57 #x15 #x77 #x37 #xE5 #x9F #xF0 #x4A #xdA #x58 #xc9 #x29 #x0A #xB1 #xA0 #x6B #x85 #xBd #x5d #x10 #xF4 #xcB #x3E #x05 #x67 #xE4 #x27 #x41 #x8B #xA7 #x7d #x95 #xd8 #xFB #xEE #x7c #x66 #xdd #x17 #x47 #x9E #xcA #x2d #xBF #x07 #xAd #x5A #x83 #x33 #x63 #x02 #xAA #x71 #xc8 #x19 #x49 #xd9 #xF2 #xE3 #x5B #x88 #x9A #x26 #x32 #xB0 #xE9 #x0F #xd5 #x80 #xBE #xcd #x34 #x48 #xFF #x7A #x90 #x5F #x20 #x68 #x1A #xAE #xB4 #x54 #x93 #x22 #x64 #xF1 #x73 #x12 #x40 #x08 #xc3 #xEc #xdB #xA1 #x8d #x3d #x97 #x00 #xcF #x2B #x76 #x82 #xd6 #x1B #xB5 #xAF #x6A #x50 #x45 #xF3 #x30 #xEF #x3F #x55 #xA2 #xEA #x65 #xBA #x2F #xc0 #xdE #x1c #xFd #x4d #x92 #x75 #x06 #x8A #xB2 #xE6 #x0E #x1F #x62 #xd4 #xA8 #x96 #xF9 #xc5 #x25 #x59 #x84 #x72 #x39 #x4c #x5E #x78 #x38 #x8c #xd1 #xA5 #xE2 #x61 #xB3 #x21 #x9c #x1E #x43 #xc7 #xFc #x04 #x51 #x99 #x6d #x0d #xFA #xdF #x7E #x24 #x3B #xAB #xcE #x11 #x8F #x4E #xB7 #xEB #x3c #x81 #x94 #xF7 #xB9 #x13 #x2c #xd3 #xE7 #x6E #xc4 #x03 #x56 #x44 #x7F #xA9 #x2A #xBB #xc1 #x53 #xdc #x0B #x9d #x6c #x31 #x74 #xF6 #x46 #xAc #x89 #x14 #xE1 #x16 #x3A #x69 #x09 #x70 #xB6 #xd0 #xEd #xcc #x42 #x98 #xA4 #x28 #x5c #xF8 #x86))
+(define: E-box : (Vectorof Byte)
+  #(#x1 #xB #x9 #xC #xD #x6 #xF #x3 #xE #x8 #x7 #x4 #xA #x2 #x5 #x0))
+(define: R-box : (Vectorof Byte)
+  #(#x7 #xC #xB #xD #xE #x4 #x9 #xF #x6 #x3 #x8 #xA #x2 #x5 #x1 #x0))
+(define: E-antibox : (Vectorof Byte)
+  (reverse-minibox E-box))
+(define: R-antibox : (Vectorof Byte)
+  (reverse-minibox R-box))
+(define: (C-ref [i : Byte] [j : Byte]) : Byte
+  (vector-ref C-box (modulo (+ j (- i)) 8)))
+(define: C : Matrix
+  (make-matrix (λ (i j) (C-ref i j))))
+
+
+(define: (γ [m : Matrix]) : Matrix
+  (matrix-map S m))
+
+(define: (S [b : Byte]) : Byte
+  (vector-ref S-box b))
+
+(define: gf2^8+ : (Byte Byte -> Byte)
+  bitwise-xor)
+
+(define: (gf2^8* [a : Byte] [b : Byte]) : Byte
+  ;; Multiplication in GF(2^8).
+  ;;   http://en.wikipedia.org/wiki/Finite_field_arithmetic
+  (let: loop : Byte ([a : Byte a]
+                     [b : Byte b]
+                     [p : Byte 0])
+    (if (or (zero? a) (zero? b))
+        p
+        (let ([a-shift (bitwise-and (arithmetic-shift a 1) #xff)])
+          (loop (if (bitwise-bit-set? a 7)
+                    (bitwise-xor a-shift #b00011101)
+                    a-shift)
+                (assert (arithmetic-shift b -1) byte?)
+                (if (bitwise-bit-set? b 0)
+                    (bitwise-xor p a)
+                    p))))))
+
+(define: (θ [m : Matrix]) : Matrix
+  (make-matrix
+   (λ (i j)
+     (for/fold: ([sum : Byte 0])
+                ([k : Index (in-range 0 8)])
+       (let ([k (assert k byte?)])
+         (gf2^8+ sum
+                 (gf2^8* (matrix-ref m i k)
+                         (matrix-ref C k j))))))))
+
+
+(define: cr : (Vectorof Matrix)
+  (vector->immutable-vector
+   (ann
+    (list->vector
+     (ann (for/list: ([r : Integer (in-range 1 (add1 rounds))])
+            (make-matrix
+             (λ: ([i : Byte] [j : Byte])
+               (if (zero? i)
+                   (S (assert (+ (* 8 (sub1 r)) j)
+                              byte?))
+                   0))))
+          (Listof Matrix)))
+    (Vectorof Matrix))))
+
+(define: σ : (Matrix -> Matrix -> Matrix)
+  (curry bitwise-xor))
+
+(define: (π [m : Matrix]) : Matrix
+  (make-matrix
+   (λ (i j)
+     (matrix-ref m
+                 (modulo (- i j) 8)
+                 j))))
+
+(define: (ρ [k : Matrix]) : (Matrix -> Matrix)
+  (compose (σ k)
+           (compose θ
+                    (compose π
+                             γ))))
+
+(define: (K [m : Matrix] [r : Exact-Nonnegative-Integer]) : Matrix
+  ((ρ (vector-ref cr (sub1 r))) m))
+
+(define: (W [m : Matrix]) : (Matrix -> Matrix)
+  ((inst compose Matrix Matrix Matrix)
+   (let: loop : (Matrix -> Matrix)
+                ([acc : (Matrix -> Matrix)        identity]
+                 [Kr  : Matrix                    m]
+                 [r   : Exact-Nonnegative-Integer 0])
+     (if (>= r rounds)
+         acc
+         (let* ([next-r (add1 r)]
+                [next-Kr (K Kr next-r)])
+           (loop (compose (ρ next-Kr) acc)
+                 next-Kr
+                 next-r))))
+   (σ m)))
+
+(define: (bytes->matrix [b : Bytes]) : Matrix
+  (for/fold: ([acc : Matrix 0])
+             ([byte : Byte (in-bytes b)])
+    (+ (arithmetic-shift acc 8) byte)))
+
+(define: (integer->bytes [x : Exact-Nonnegative-Integer]) : Bytes
+  (let: loop : Bytes
+        ([acc : (Listof Byte) (list)]
+         [x : Exact-Nonnegative-Integer x])
+    (if (zero? x)
+        (list->bytes acc)
+        (loop (cons (bitwise-and #xff x) acc)
+              (arithmetic-shift x -8)))))
+
+(define: (length->bytes [n : Exact-Nonnegative-Integer]) : Bytes
+  (let ([b (integer->bytes n)])
+    (bytes-append (make-bytes (- 32 (bytes-length b)) 0) b)))
+
+(define: (pad-bytes [b : Bytes]) : Bytes
+  (let* ([missingno (modulo (- 32 (remainder (bytes-length b) 64))
+                            64)]
+         [padding   (cons #x80 (make-list (sub1 missingno) 0))]
+         [len       (length->bytes (* 8 (bytes-length b)))])
+    (bytes-append b (list->bytes padding) len)))
+
+(define: (bytes->message [b : Bytes]) : (Listof Matrix)
+  (let: ([pb : Bytes (pad-bytes b)])
+    (reverse
+     (for/fold: ([acc : (Listof Matrix) (list)])
+                ([i : Exact-Nonnegative-Integer
+                    (in-range 0 (quotient (bytes-length pb) 64))])
+       (cons (bytes->matrix (subbytes pb (* i 64) (* (add1 i) 64)))
+             acc)))))
+
+(define: IV : Matrix
+  0)
+
+(define: (H [message : (Listof Matrix)]) : Matrix
+  (for/fold: ([acc : Matrix IV])
+             ([η   : Matrix (in-list message)])
+    (bitwise-xor ((W acc) η)
+                 acc
+                 η)))
+
+(define (whirlpool msg)
+  (H (bytes->message msg)))
+
+;; Should be:
+;;   19FA61D75522A4669B44E39C1D2E1726C530232130D407F89AFEE0964997F7A7
+;;   3E83BE698B288FEBCF88E3E03C4F0757EA8964E59B63D93708B138CC42A66EB3
+;;(format "~X" (whirlpool #"")))
+;;(print-matrix (whirlpool #"")))