实施SHA-256


18

给定一个字节序列,输出该序列的SHA-256哈希值。

SHA-256算法

以下伪代码来自SHA-2维基百科页面

Note 1: All variables are 32 bit unsigned integers and addition is calculated modulo 2^32
Note 2: For each round, there is one round constant k[i] and one entry in the message schedule array w[i], 0 ≤ i ≤ 63
Note 3: The compression function uses 8 working variables, a through h
Note 4: Big-endian convention is used when expressing the constants in this pseudocode,
    and when parsing message block data from bytes to words, for example,
    the first word of the input message "abc" after padding is 0x61626380

Initialize hash values:
(first 32 bits of the fractional parts of the square roots of the first 8 primes 2..19):
h0 := 0x6a09e667
h1 := 0xbb67ae85
h2 := 0x3c6ef372
h3 := 0xa54ff53a
h4 := 0x510e527f
h5 := 0x9b05688c
h6 := 0x1f83d9ab
h7 := 0x5be0cd19

Initialize array of round constants:
(first 32 bits of the fractional parts of the cube roots of the first 64 primes 2..311):
k[0..63] :=
   0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5,
   0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3, 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174,
   0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc, 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da,
   0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, 0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967,
   0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13, 0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85,
   0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3, 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070,
   0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, 0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3,
   0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208, 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2

Pre-processing:
append the bit '1' to the message
append k bits '0', where k is the minimum number >= 0 such that the resulting message
    length (modulo 512 in bits) is 448.
append length of message (without the '1' bit or padding), in bits, as 64-bit big-endian integer
    (this will make the entire post-processed length a multiple of 512 bits)

Process the message in successive 512-bit chunks:
break message into 512-bit chunks
for each chunk
    create a 64-entry message schedule array w[0..63] of 32-bit words
    (The initial values in w[0..63] don't matter, so many implementations zero them here)
    copy chunk into first 16 words w[0..15] of the message schedule array

    Extend the first 16 words into the remaining 48 words w[16..63] of the message schedule array:
    for i from 16 to 63
        s0 := (w[i-15] rightrotate 7) xor (w[i-15] rightrotate 18) xor (w[i-15] rightshift 3)
        s1 := (w[i-2] rightrotate 17) xor (w[i-2] rightrotate 19) xor (w[i-2] rightshift 10)
        w[i] := w[i-16] + s0 + w[i-7] + s1

    Initialize working variables to current hash value:
    a := h0
    b := h1
    c := h2
    d := h3
    e := h4
    f := h5
    g := h6
    h := h7

    Compression function main loop:
    for i from 0 to 63
        S1 := (e rightrotate 6) xor (e rightrotate 11) xor (e rightrotate 25)
        ch := (e and f) xor ((not e) and g)
        temp1 := h + S1 + ch + k[i] + w[i]
        S0 := (a rightrotate 2) xor (a rightrotate 13) xor (a rightrotate 22)
        maj := (a and b) xor (a and c) xor (b and c)
        temp2 := S0 + maj

        h := g
        g := f
        f := e
        e := d + temp1
        d := c
        c := b
        b := a
        a := temp1 + temp2

    Add the compressed chunk to the current hash value:
    h0 := h0 + a
    h1 := h1 + b
    h2 := h2 + c
    h3 := h3 + d
    h4 := h4 + e
    h5 := h5 + f
    h6 := h6 + g
    h7 := h7 + h

Produce the final hash value (big-endian):
digest := hash := h0 append h1 append h2 append h3 append h4 append h5 append h6 append h7

参考实施

这是Python 3中的参考实现:

#!/usr/bin/env python3

import sys

# ror function modified from http://stackoverflow.com/a/27229191/2508324
def ror(val, r_bits):
   return (val >> r_bits) | (val << (32-r_bits)) % 2**32

h = [0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a, 0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19]

k = [0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5,
   0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3, 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174,
   0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc, 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da,
   0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, 0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967,
   0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13, 0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85,
   0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3, 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070,
   0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, 0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3,
   0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208, 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2]

s = sys.stdin.read().encode()
msg = [int(x,2) for c in s for x in '{:08b}'.format(c)]
msg.append(1)
while len(msg) % 512 != 448:
    msg.append(0)
msg.extend([int(x,2) for x in '{:064b}'.format(len(s) * 8)])

for i in range(len(msg)//512):
    chunk = msg[512*i:512*(i+1)] # sloth love chunk
    w = [0 for _ in range(64)]
    for j in range(16):
        w[j] = int(''.join(str(x) for x in chunk[32*j:32*(j+1)]),2)
    for j in range(16, 64):
        s0 = ror(w[j-15], 7) ^ ror(w[j-15], 18) ^ (w[j-15] >> 3)
        s1 = ror(w[j-2], 17) ^ ror(w[j-2], 19) ^ (w[j-2] >> 10)
        w[j] = (w[j-16] + s0 + w[j-7] + s1) % 2**32
    work = h[:]
    for j in range(64):
        S1 = ror(work[4], 6) ^ ror(work[4], 11) ^ ror(work[4], 25)
        ch = (work[4] & work[5]) ^ (~work[4] & work[6])
        temp1 = (work[7] + S1 + ch + k[j] + w[j]) % 2**32
        S0 = ror(work[0], 2) ^ ror(work[0], 13) ^ ror(work[0], 22)
        maj = (work[0] & work[1]) ^ (work[0] & work[2]) ^ (work[1] & work[2])
        temp2 = (S0 + maj) % 2**32
        work = [(temp1 + temp2) % 2**32] + work[:-1]
        work[4] = (work[4] + temp1) % 2**32
    h = [(H+W)%2**32 for H,W in zip(h,work)]

print(''.join('{:08x}'.format(H) for H in h))

限制条件

  • 禁止使用用于计算SHA-256哈希值或以其他方式简化挑战的内建函数
  • 输入和输出可以采用任何合理的格式(以单字节编码,base64,十六进制等形式编码)

测试用例

<empty string> -> e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855
abc -> ba7816bf8f01cfea414140de5dae2223b00361a396177a9cb410ff61f20015ad
Hello, World! -> c98c24b677eff44860afea6f493bbaec5bb1c4cbb209c6fc2bbb47f66ff2ad31
1234 -> 03ac674216f3e15c761ee1a5e255f067953623c8b388b4459e13f978d7c846f4

Answers:


7

Ĵ458个 445 443 438 435 430 421字节

3 :0
B=.32#2
A=.B&#:
P=.+&#.
'H K'=.A<.32*&2(-<.)2 3%:/p:i.64
for_m._512]\(,(1{.~512|448-#),(,~B)#:#)y
do.w=.(,B#:(15&|.~:13&|.~:_10|.!.0])@(_2&{)P/@,(25&|.~:14&|.~:_3|.!.0])@(_15&{),_7 _16&{)^:48]_32]\m
'a b c d e f g h'=.H=.8{.H
for_t.i.64
do.u=.A]P/((e<g)~:e*f),h,(~:/26 21 7|."{e),t{&>K;w
v=.A(a*b)P(c*a~:b)P~:/30 19 10|."{a
h=.g
g=.f
f=.e
e=.A]d P u
d=.c
c=.b
b=.a
a=.A]u P v
end.
H=.A]H P a,b,c,d,e,f,g,:h
end.
,H
)

在线尝试!

这是一个单调动词,它使用一个位列表作为输入并输出一个位列表。在TIO上,为方便起见,实现了从字符串到输入的位列表的转换以及从位到十六进制的转换。要测试其他输入,只需修改input字段中的文本。


这很漂亮
Mego

@Mego谢谢,仍然有一些多余的部分,可以省去大约10个字节。
英里

我希望看到一个默认的版本:P
Mego

如果仅13支持多行定义和分配。
英里

从J 8.06版本开始,现在有一个内置功能可以使用SHA-256和其他哈希128!:6示例
英里

8

Python 2,519字节

Q=2**32
G=lambda e:[int(x**e%1*Q)for x in range(2,312)if 383**~-x%x<2]
H=G(.5)[:8]
r=lambda v,b:v>>b|v<<32-b
M=input()
l=len(M)
M+=bin(l|1<<(447-l)%512+64)[2:]
while M:j=0;a,b,c,d,e,f,g,h=H;exec"H+=int(M[:32],2),;M=M[32:];"*16+"x=H[-15];y=H[-2];H+=(H[-16]+H[-7]+(r(y,17)^r(y,19)^y>>10)+(r(x,7)^r(x,18)^x/8))%Q,;"*48+"u=(r(e,6)^r(e,11)^r(e,25))+(e&f^~e&g)+h+G(1/3.)[j]+H[j+8];X=a,b,c,d,e,f,g,h=(u+(r(a,2)^r(a,13)^r(a,22))+(a&b^a&c^b&c))%Q,a,b,c,(d+u)%Q,e,f,g;j+=1;"*64;H=tuple(a+b&Q-1for a,b in zip(H,X))
print"%08x"*8%H

我工作过的伪代码,但是有一些部分刚刚结束了同为golfed参考迈戈张贴因为没有太多的高尔夫(如不变工作台,其唯一真正的高尔夫是<2不是==1)。虽然向下压缩了100多个字节,但是我敢肯定还有更多的空间。

输入/输出也是十六进制字符串的比特串。


我认为您可以别名int,这样可以节省2B。我不太熟悉Python中的高尔夫球,因此您可能还可以保存更多字节。另外,该x**e%1*Q怎么办?我使用x和e的一些随机值进行了一些测试,但始终返回0 ...
路加福音

@L.Serné int仅使用两次,因此别名不会保存任何内容。x**e%1给出小数部分,因此您必须用小数测试e预期的效果。
Sp3000

7

Python 2,633字节

n=range
f=2**32
q=512
r=lambda v,b:v%f>>b|(v<<32-b)%f
t=int
g=lambda e:[t(x**e%1*f)for x in n(2,312)if 383**~-x%x==1]
h=g(.5)
k=g(1/3.)
m=map(t,input())
l=len(m)
m+=[1]+[0]*((447-l)%q)+map(t,'{:064b}'.format(l))
for i in n(l/q+1):
 c=m[q*i:][:q];w=[t(`c[j*32:][:32]`[1::3],2) for j in n(16)];x=h[:8]
 for j in n(48):a,o=w[j+1],w[j+14];w+=[(w[j]+(r(a,7)^r(a,18)^(a>>3))+w[j+9]+(r(o,17)^r(o,19)^(o>>10)))%f]
 for j in n(64):a,o=x[::4];d=x[7]+(r(o,6)^r(o,11)^r(o,25))+(o&x[5]^~o&x[6])+k[j]+w[j];e=(r(a,2)^r(a,13)^r(a,22))+(x[1]&a|x[2]&a|x[1]&x[2]);x=[d+e]+x[:7];x[4]+=d
 h=[(H+W)%f for H,W in zip(h,x)]
print''.join('%08x'%H for H in h)

该解决方案是我,Leaky Nun和Mars Ultor之间合作的结果。因此,出于公平考虑,我使它成为社区Wiki。这需要输入作为包裹在引号(例如一个二进制串'011000010110001001100011'abc),并输出一个十六进制字符串。


2
至少很清楚它是如何工作的?:)
enderland '16

4

C,1913年 1822个字节(只是为了好玩)

#define q unsigned
#define D(a,c)x->b[1]+=a>1<<33-1-c;a+=c;
#define R(a,b)(a>>b|a<<32-b)
#define S(x,a,b,c)(R(x,a)^R(x,b)^x>>c)
#define W(i,a)i=x->s[a];
#define Y(i,a)x->s[a]+=i;
#define Z(_,a)h[i+a*4]=x->s[a]>>(24-i*8);
#define J(a)x->d[a]
#define T(_,a)x->d[63-a]=x->b[a/4]>>8*(a%4);
#define Q(_,a)x->s[a]=v[a];
#define A(F)F(a,0)F(b,1)F(c,2)F(d,3)F(e,4)F(f,5)F(g,6)F(h,7)
#define G(a,b)for(i=a;i<b;++i)
typedef struct{q char d[64];q l,b[2],s[8];}X;q k[]={0x428a2f98,0x71374491,0xb5c0fbcf,0xe9b5dba5,0x3956c25b,0x59f111f1,0x923f82a4,0xab1c5ed5,0xd807aa98,0x12835b01,0x243185be,0x550c7dc3,0x72be5d74,0x80deb1fe,0x9bdc06a7,0xc19bf174,0xe49b69c1,0xefbe4786,0x0fc19dc6,0x240ca1cc,0x2de92c6f,0x4a7484aa,0x5cb0a9dc,0x76f988da,0x983e5152,0xa831c66d,0xb00327c8,0xbf597fc7,0xc6e00bf3,0xd5a79147,0x06ca6351,0x14292967,0x27b70a85,0x2e1b2138,0x4d2c6dfc,0x53380d13,0x650a7354,0x766a0abb,0x81c2c92e,0x92722c85,0xa2bfe8a1,0xa81a664b,0xc24b8b70,0xc76c51a3,0xd192e819,0xd6990624,0xf40e3585,0x106aa070,0x19a4c116,0x1e376c08,0x2748774c,0x34b0bcb5,0x391c0cb3,0x4ed8aa4a,0x5b9cca4f,0x682e6ff3,0x748f82ee,0x78a5636f,0x84c87814,0x8cc70208,0x90befffa,0xa4506ceb,0xbef9a3f7,0xc67178f2},v[]={0x6a09e667,0xbb67ae85,0x3c6ef372,0xa54ff53a,0x510e527f,0x9b05688c,0x1f83d9ab,0x5be0cd19};a(X*x){q a,b,c,d,e,f,g,h,i,t,z,m[64];G(z=0,16)m[i]=J(z++)<<24|J(z++)<<16|J(z++)<<8|J(z++);G(i,64)m[i]=S(m[i-2],17,19,10)+m[i-7]+S(m[i-15],7,18,3)+m[i-16];A(W);G(0,64){t=h+(R(e,6)^R(e,11)^R(e,25))+(e&f^~e&g)+k[i]+m[i];z=(R(a,2)^R(a,13)^R(a,22))+(a&b^a&c^b&c);h=g;g=f;f=e;e=d+t;d=c;c=b;b=a;a=t+z;}A(Y)}i(X*x){x->l=*x->b=x->b[1]=0;A(Q)}p(X*x,char*w,q l){q t,i;G(0,l){J(x->l)=w[i];if(++x->l==64){a(x);D(*x->b,512)x->l=0;}}}f(X*x,char*h){q i=x->l;if(i<56){J(i++)=128;G(i,56)J(i)=0;}else{J(i++)=128;G(i,64)J(i)=0;a(x);G(0,56)J(i)=0;}D(*x->b,x->l*8)A(T)a(x);G(0,4){A(Z)}}

我以参考实施并开始打高尔夫球,我的目标是2k以下。

如果有人知道如何生成常量,则可以改进(素数的立方根,我想不出任何高尔夫友好的方式)。

用法:

X ctx;
unsigned char hash[32];

i(&ctx);                    // initialize context
p(&ctx,text,strlen(text));  // hash string
f(&ctx,hash);               // get hash

打高尔夫球的恒定发电机(虽然仍然可以打高尔夫球)。 在线尝试!
Max Yekhlakov

更多高尔夫常量发生器275字节
ceilingcat
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