SHA256的"纯"方案实现(R5RS)？

我今天写了一个实现.唉,R5RS既没有字节向量也没有二进制I/O,因此它将R7RS API用于字节向量和二进制I/O. 将这些API桥接到Scheme实现的本机API应该很容易(例如,我实际上在Racket和Guile上测试了我的实现).

几点说明:

此代码假定区分大小写.这是R7RS的默认设置,但不是R5RS,因此如果您使用的是R5RS,请注意.

它要求SRFIs 1,26,43,和60.

我强调优雅和清晰的速度.实际上,代码非常慢.

与我的个人资料所说的相反,我只是根据Apache License 2.0(除了CC BY-SA 3.0的标准Stack Overflow许可证)授权此代码,而不是在CC0或类似公共领域的任何内容下.

无论如何,没有进一步的麻烦,这里它(也作为一个要点):

;;; Auxiliary definitions to avoid having to use giant tables of constants.

(define primes80 '(2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73
                   79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157
                   163 167 173 179 181 191 193 197 199 211 223 227 229 233 239
                   241 251 257 263 269 271 277 281 283 293 307 311 313 317 331
                   337 347 349 353 359 367 373 379 383 389 397 401 409))

(define (sqrt x)
  (fold (lambda (_ y) (/ (+ (/ x y) y) 2)) 4 (iota 7)))

(define (cbrt x)
  (fold (lambda (_ y) (/ (+ (/ x y y) y y) 3)) 4 (iota 8)))

(define (frac x scale base)
  (bitwise-and (floor (* x (arithmetic-shift 1 scale)))
               (- (arithmetic-shift 1 base) 1)))

;;; The actual initialisation and constant values.

(define sha1-init '(#x67452301 #xefcdab89 #x98badcfe #x10325476 #xc3d2e1f0))
(define sha2-init (map (lambda (x) (frac (sqrt x) 64 64)) (take primes80 16)))
(define-values (sha512-init sha384-init) (split-at sha2-init 8))
(define sha256-init (map (cut arithmetic-shift <> -32) sha512-init))
(define sha224-init (map (cut frac <> 0 32) sha384-init))

(define sha1-const (map (lambda (x) (frac (sqrt x) 30 32)) '(2 3 5 10)))
(define sha512-const (map (lambda (x) (frac (cbrt x) 64 64)) primes80))
(define sha256-const (map (cut arithmetic-shift <> -32) (take sha512-const 64)))

;;; Utility functions used by the compression and driver functions.

(define (u32+ . xs) (bitwise-and (apply + xs) #xffffffff))
(define (u64+ . xs) (bitwise-and (apply + xs) #xffffffffffffffff))
(define (bitwise-majority x y z)
  (bitwise-xor (bitwise-and x y) (bitwise-and x z) (bitwise-and y z)))

(define (bytevector-be-ref bv base n)
  (let loop ((res 0) (i 0))
    (if (< i n)
        (loop (+ (arithmetic-shift res 8) (bytevector-u8-ref bv (+ base i)))
              (+ i 1))
        res)))
(define (bytevector-u64-ref bv i)
  (bytevector-be-ref bv (arithmetic-shift i 3) 8))
(define (bytevector-u32-ref bv i)
  (bytevector-be-ref bv (arithmetic-shift i 2) 4))

(define (bytevector-be-set! bv base n val)
  (let loop ((i n) (val val))
    (when (positive? i)
      (bytevector-u8-set! bv (+ base i -1) (bitwise-and val 255))
      (loop (- i 1) (arithmetic-shift val -8)))))

(define (md-pad! bv offset count counter-size)
  (define block-size (bytevector-length bv))
  (unless (negative? offset)
    (bytevector-u8-set! bv offset #x80))
  (let loop ((i (+ offset 1)))
    (when (< i block-size)
      (bytevector-u8-set! bv i 0)
      (loop (+ i 1))))
  (when count
    (bytevector-be-set! bv (- block-size counter-size) counter-size
                        (arithmetic-shift count 3))))

(define (hash-state->bytevector hs trunc word-size)
  (define result (make-bytevector (* trunc word-size)))
  (for-each (lambda (h i)
              (bytevector-be-set! result i word-size h))
            hs (iota trunc 0 word-size))
  result)

;;; The compression functions.

(define (sha2-compress K ?0 ?1 ?0 ?1 mod+ getter hs)
  (define W (vector->list (apply vector-unfold
                                 (lambda (_ a b c d e f g h i j k l m n o p)
                                   (values a b c d e f g h i j k l m n o p
                                           (mod+ a (?0 b) j (?1 o))))
                                 (length K)
                                 (list-tabulate 16 getter))))
  (define (loop k w a b c d e f g h)
    (if (null? k)
        (map mod+ hs (list a b c d e f g h))
        (let ((T1 (mod+ h (?1 e) (bitwise-if e f g) (car k) (car w)))
              (T2 (mod+ (?0 a) (bitwise-majority a b c))))
          (loop (cdr k) (cdr w) (mod+ T1 T2) a b c (mod+ d T1) e f g))))
  (apply loop K W hs))

(define (sha512-compress bv hs)
  (define (rotr x y) (rotate-bit-field x (- y) 0 64))
  (define (shr x y) (arithmetic-shift x (- y)))
  (sha2-compress sha512-const
                 (lambda (x) (bitwise-xor (rotr x 28) (rotr x 34) (rotr x 39)))
                 (lambda (x) (bitwise-xor (rotr x 14) (rotr x 18) (rotr x 41)))
                 (lambda (x) (bitwise-xor (rotr x 1) (rotr x 8) (shr x 7)))
                 (lambda (x) (bitwise-xor (rotr x 19) (rotr x 61) (shr x 6)))
                 u64+ (cut bytevector-u64-ref bv <>) hs))

(define (sha256-compress bv hs)
  (define (rotr x y) (rotate-bit-field x (- y) 0 32))
  (define (shr x y) (arithmetic-shift x (- y)))
  (sha2-compress sha256-const
                 (lambda (x) (bitwise-xor (rotr x 2) (rotr x 13) (rotr x 22)))
                 (lambda (x) (bitwise-xor (rotr x 6) (rotr x 11) (rotr x 25)))
                 (lambda (x) (bitwise-xor (rotr x 7) (rotr x 18) (shr x 3)))
                 (lambda (x) (bitwise-xor (rotr x 17) (rotr x 19) (shr x 10)))
                 u32+ (cut bytevector-u32-ref bv <>) hs))

(define (sha1-compress bv hs)
  (define (getter x) (bytevector-u32-ref bv x))
  (define (rotl x y) (rotate-bit-field x y 0 32))
  (define W (vector->list (apply vector-unfold
                                 (lambda (_ a b c d e f g h i j k l m n o p)
                                   (values a b c d e f g h i j k l m n o p
                                           (rotl (bitwise-xor a c i n) 1)))
                                 80
                                 (list-tabulate 16 getter))))
  (define (outer f k w a b c d e)
    (if (null? k)
        (map u32+ hs (list a b c d e))
        (let inner ((i 0) (w w) (a a) (b b) (c c) (d d) (e e))
          (if (< i 20)
              (let ((T (u32+ (rotl a 5) ((car f) b c d) e (car k) (car w))))
                (inner (+ i 1) (cdr w) T a (rotl b 30) c d))
              (outer (cdr f) (cdr k) w a b c d e)))))
  (apply outer (list bitwise-if bitwise-xor bitwise-majority bitwise-xor)
               sha1-const W hs))

;;; The Merkle-Damgård "driver" function.

(define (md-loop init compress block-size trunc word-size counter-size in)
  (define leftover (- block-size counter-size))
  (define bv (make-bytevector block-size))
  (define pad! (cut md-pad! bv <> <> counter-size))
  (define hs->bv (cut hash-state->bytevector <> trunc word-size))

  (let loop ((count 0) (hs init))
    (define read-size (read-bytevector! bv in))
    (cond ((eof-object? read-size)
           (pad! 0 count)
           (hs->bv (compress bv hs)))
          ((= read-size block-size)
           (loop (+ count read-size) (compress bv hs)))
          ((< read-size leftover)
           (pad! read-size (+ count read-size))
           (hs->bv (compress bv hs)))
          (else
           (pad! read-size #f)
           (let ((pen (compress bv hs)))
             (pad! -1 (+ count read-size))
             (hs->bv (compress bv pen)))))))

;;; SHA-512/t stuff.

(define sha512/t-init (map (cut bitwise-xor <> #xa5a5a5a5a5a5a5a5) sha512-init))
(define (make-sha512/t-init t)
  (define key (string->utf8 (string-append "SHA-512/" (number->string t))))
  (define size (bytevector-length key))
  (define bv (make-bytevector 128))
  (bytevector-copy! bv 0 key)
  (md-pad! bv size size 16)
  (sha512-compress bv sha512/t-init))

(define (make-sha512/t t)
  (define init (make-sha512/t-init t))
  (define words (arithmetic-shift t -6))
  (if (zero? (bitwise-and t 63))
      (cut md-loop init sha512-compress 128 words 8 16 <>)
      (lambda (in)
        (bytevector-copy
         (md-loop init sha512-compress 128 (ceiling words) 8 16 in)
         0 (arithmetic-shift t -3)))))

;;; Public entry points.

(define sha1 (cut md-loop sha1-init sha1-compress 64 5 4 8 <>))
(define sha224 (cut md-loop sha224-init sha256-compress 64 7 4 8 <>))
(define sha256 (cut md-loop sha256-init sha256-compress 64 8 4 8 <>))
(define sha384 (cut md-loop sha384-init sha512-compress 128 6 8 16 <>))
(define sha512 (cut md-loop sha512-init sha512-compress 128 8 8 16 <>))
(define sha512/256 (make-sha512/t 256))
(define sha512/224 (make-sha512/t 224))

我在FIPS 180-4中实现了所有算法,但你可以删除你不需要的任何东西.

如前所述,我在Racket上进行了测试; 我添加到Racket的API的定义如下:

#lang racket
(require (only-in srfi/1 iota)
         (only-in srfi/26 cut)
         (only-in srfi/43 vector-unfold)
         (only-in srfi/60 bitwise-if rotate-bit-field)
         (rename-in racket/base [build-list list-tabulate]
                                [bytes-copy! bytevector-copy!]
                                [bytes-length bytevector-length]
                                [bytes-ref bytevector-u8-ref]
                                [bytes-set! bytevector-u8-set!]
                                [foldl fold]
                                [make-bytes make-bytevector]
                                [read-bytes! read-bytevector!]
                                [string->bytes/utf-8 string->utf8]
                                [subbytes bytevector-copy]))

以下是Guile的定义(需要2.0.11或更高版本):

(use-modules (srfi srfi-1) (srfi srfi-26) (srfi srfi-43) (srfi srfi-60)
             (rnrs bytevectors) (ice-9 binary-ports))

(define* (bytevector-copy bv #:optional (start 0) (end (bytevector-length bv)))
  (define copy (make-bytevector (- end start)))
  (bytevector-copy! copy 0 bv start end)
  copy)
(define* (bytevector-copy! to at from #:optional (start 0)
                                                 (end (bytevector-length from)))
  ((@ (rnrs bytevectors) bytevector-copy!) from start to at (- end start)))
(define* (read-bytevector! bv #:optional (port (current-input-port)) (start 0)
                                         (end (bytevector-length bv)))
  (get-bytevector-n! port bv start (- end start)))

为您选择的实现制作类似的东西应该很容易.

我也有打印出的输出作为十六进制字符串,用于与各种命令行SHA-1和SHA-2公用事业准备比较的功能(例如,sha1sum,sha256sum,sha512sum,等等):

(define (hex bv)
  (define out (open-output-string))
  (do ((i 0 (+ i 1)))
      ((>= i (bytevector-length bv)) (get-output-string out))
    (let-values (((q r) (truncate/ (bytevector-u8-ref bv i) 16)))
      (display (number->string q 16) out)
      (display (number->string r 16) out))))