This library implements some hash and cryptographic algorithms.

Dependents:   mBuinoBlinky PB_Emma_Ethernet SLOTrashHTTP Garagem ... more

This library implements the following algorithms :

  • RC4
  • AES (AES-128, AES-192, AES-256)
  • DES
  • Triple DES (EDE)
  • MD2
  • MD4
  • MD5
  • SHA-1
  • SHA-2 (SHA-224, SHA-256, SHA-384, SHA-512)

The hash algorithms have been optimized for the mbed and you should get decent performance. However, I did not optimize the ciphers. Also, I did not test extensively these algorithms : it should work but you may find some bugs. Block ciphers support two modes : ECB and CBC.

Warning

If you are using SHA-384 or SHA-512, be aware that it produces large binary files and the compilation (using the online compiler) takes much longer to execute. It may happen that the compiler stops because it timed-out. In this case, just compile again and it should work.

Computing hash

You can compute the hash of some data in two different ways. The first one is the easiest, each hash algorithm has a static method that takes some data and compute the hash from it.

Computing hash using method 1

#include "Crypto.h"
#include "mbed.h"

static const char msg[] = "mbed is great !";

int main()
{
    uint8_t hash[16];
    MD2::computeHash(hash, (uint8_t*)msg, strlen(msg));
    printf("hash: ");
    for(int i = 0; i < 16; ++i)
        printf("%02x", hash[i]);
    printf("\n");
    
    return 0;
}

The second one is slightly slower (around 2-3% slower) but it allows you to compute the hash of some data in several steps (by calling update method). This is the method you should use if you need to compute the hash from a large source and you don't have enough memory to store it in a single buffer.

Computing hash using method 2

#include "Crypto.h"
#include "mbed.h"

static const char msg[] = "mbed is great !";

int main()
{
    uint8_t hash[16];
    MD2 h;
    h.update((uint8_t*)msg, strlen(msg));
    h.finalize(hash);
    printf("hash: ");
    for(int i = 0; i < 16; ++i)
        printf("%02x", hash[i]);
    printf("\n");
    
    return 0;
}

TODO

  • optimize ciphers
  • add doc

Files at this revision

API Documentation at this revision

Comitter:
feb11
Date:
Thu Sep 12 10:18:57 2013 +0000
Parent:
3:85c6ee25cf3e
Child:
5:06cd9c8afa0b
Commit message:
improved performance of SHA-2 (32 & 64bits)

Changed in this revision

MD2.cpp Show annotated file Show diff for this revision Revisions of this file
MD5.cpp Show annotated file Show diff for this revision Revisions of this file
SHA1.cpp Show annotated file Show diff for this revision Revisions of this file
SHA2_32.cpp Show annotated file Show diff for this revision Revisions of this file
SHA2_64.cpp Show annotated file Show diff for this revision Revisions of this file
--- a/MD2.cpp	Wed Sep 11 17:22:40 2013 +0000
+++ b/MD2.cpp	Thu Sep 12 10:18:57 2013 +0000
@@ -1,3 +1,8 @@
+/**
+    Implementation of MD2 as described here:
+    http://tools.ietf.org/html/rfc1319
+*/
+
 #include "MD2.h"
 #include <string.h>
 
--- a/MD5.cpp	Wed Sep 11 17:22:40 2013 +0000
+++ b/MD5.cpp	Thu Sep 12 10:18:57 2013 +0000
@@ -1,3 +1,8 @@
+/**
+    Implementation of MD5 as described here:
+    http://tools.ietf.org/html/rfc1321
+*/
+
 #include "MD5.h"
 #include <string.h>
 
--- a/SHA1.cpp	Wed Sep 11 17:22:40 2013 +0000
+++ b/SHA1.cpp	Thu Sep 12 10:18:57 2013 +0000
@@ -1,3 +1,8 @@
+/**
+    Implementation of SHA-1 as described here:
+    http://tools.ietf.org/html/rfc1319
+*/
+
 #include "SHA1.h"
 #include <string.h>
 #include <stdio.h>
--- a/SHA2_32.cpp	Wed Sep 11 17:22:40 2013 +0000
+++ b/SHA2_32.cpp	Thu Sep 12 10:18:57 2013 +0000
@@ -3,25 +3,9 @@
 #include <stdio.h>
 #include <stdlib.h>
 
-static const uint32_t 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
-};
+
+static const uint8_t MASK = 0x0F;
+#define W(t) (w[(t)] = SSIG1(w[((t)+14)&MASK]) + w[((t)+9)&MASK] + SSIG0(w[((t)+1)&MASK]) + w[t])
 
 #define ROTL(W,N) (((W) << (N)) | ((W) >> (32-(N))))
 #define ROTR(W,N) (((W) >> (N)) | ((W) << (32-(N))))
@@ -31,7 +15,11 @@
 #define BSIG1(X) (ROTR(X,6) ^ ROTR(X,11) ^ ROTR(X,25))
 #define SSIG0(X) (ROTR((X),7) ^ ROTR((X),18) ^ ((X) >> 3))
 #define SSIG1(X) (ROTR((X),17) ^ ROTR((X),19) ^ ((X) >> 10))
-#define R(A,B,C,D,E,F,G,H,T)  T1 = H + BSIG1(E) + CH(E,F,G) + K[T] + w[T]; \
+#define R(A,B,C,D,E,F,G,H,T,K)  T1 = H + BSIG1(E) + CH(E,F,G) + K + (w[T] = __rev(buffer2[T])); \
+                              T2 = BSIG0(A) + MAJ(A,B,C); \
+                              D += T1; \
+                              H = T1 + T2;
+#define R2(A,B,C,D,E,F,G,H,T,K)  T1 = H + BSIG1(E) + CH(E,F,G) + K + W(T&MASK); \
                               T2 = BSIG0(A) + MAJ(A,B,C); \
                               D += T1; \
                               H = T1 + T2;
@@ -119,7 +107,7 @@
     {
         memset(&buffer[bufferLength], 0, 64-bufferLength);
         computeBlock(&h0, &h1, &h2, &h3, &h4, &h5, &h6, &h7, buffer);
-        memset(buffer, 0, bufferLength);
+        memset(buffer, 0, 48);
     }
     
     uint64_t lengthBit = totalBufferLength << 3;
@@ -191,102 +179,83 @@
                         uint32_t *h72,
                         uint8_t *buffer)
 {
-    uint32_t w[64];
+    uint32_t w[16];
     uint32_t *buffer2 = (uint32_t*)buffer;
-    w[0] = __rev(buffer2[0]);
-    w[1] = __rev(buffer2[1]);
-    w[2] = __rev(buffer2[2]);
-    w[3] = __rev(buffer2[3]);
-    w[4] = __rev(buffer2[4]);
-    w[5] = __rev(buffer2[5]);
-    w[6] = __rev(buffer2[6]);
-    w[7] = __rev(buffer2[7]);
-    w[8] = __rev(buffer2[8]);
-    w[9] = __rev(buffer2[9]);
-    w[10] = __rev(buffer2[10]);
-    w[11] = __rev(buffer2[11]);
-    w[12] = __rev(buffer2[12]);
-    w[13] = __rev(buffer2[13]);
-    w[14] = __rev(buffer2[14]);
-    w[15] = __rev(buffer2[15]);
-
-    for(int t = 16; t < 64; ++t)
-        w[t] = SSIG1(w[t-2]) + w[t-7] + SSIG0(w[t-15]) + w[t-16];
-    
     uint32_t a = *h02, b = *h12, c = *h22, d = *h32, e = *h42, f = *h52, g = *h62, h = *h72;
     uint32_t T1, T2;
-    
-    R(a,b,c,d,e,f,g,h,0)
-    R(h,a,b,c,d,e,f,g,1)
-    R(g,h,a,b,c,d,e,f,2)
-    R(f,g,h,a,b,c,d,e,3)
-    R(e,f,g,h,a,b,c,d,4)
-    R(d,e,f,g,h,a,b,c,5)
-    R(c,d,e,f,g,h,a,b,6)
-    R(b,c,d,e,f,g,h,a,7)
+
+
+    R(a,b,c,d,e,f,g,h,0,0x428a2f98)
+    R(h,a,b,c,d,e,f,g,1,0x71374491)
+    R(g,h,a,b,c,d,e,f,2,0xb5c0fbcf)
+    R(f,g,h,a,b,c,d,e,3,0xe9b5dba5)
+    R(e,f,g,h,a,b,c,d,4,0x3956c25b)
+    R(d,e,f,g,h,a,b,c,5,0x59f111f1)
+    R(c,d,e,f,g,h,a,b,6,0x923f82a4)
+    R(b,c,d,e,f,g,h,a,7,0xab1c5ed5)
 
-    R(a,b,c,d,e,f,g,h,8)
-    R(h,a,b,c,d,e,f,g,9)
-    R(g,h,a,b,c,d,e,f,10)
-    R(f,g,h,a,b,c,d,e,11)
-    R(e,f,g,h,a,b,c,d,12)
-    R(d,e,f,g,h,a,b,c,13)
-    R(c,d,e,f,g,h,a,b,14)
-    R(b,c,d,e,f,g,h,a,15)
-    
-    R(a,b,c,d,e,f,g,h,16)
-    R(h,a,b,c,d,e,f,g,17)
-    R(g,h,a,b,c,d,e,f,18)
-    R(f,g,h,a,b,c,d,e,19)
-    R(e,f,g,h,a,b,c,d,20)
-    R(d,e,f,g,h,a,b,c,21)
-    R(c,d,e,f,g,h,a,b,22)
-    R(b,c,d,e,f,g,h,a,23)
+    R(a,b,c,d,e,f,g,h,8,0xd807aa98)
+    R(h,a,b,c,d,e,f,g,9,0x12835b01)
+    R(g,h,a,b,c,d,e,f,10,0x243185be)
+    R(f,g,h,a,b,c,d,e,11,0x550c7dc3)
+    R(e,f,g,h,a,b,c,d,12,0x72be5d74)
+    R(d,e,f,g,h,a,b,c,13,0x80deb1fe)
+    R(c,d,e,f,g,h,a,b,14,0x9bdc06a7)
+    R(b,c,d,e,f,g,h,a,15,0xc19bf174)
+
+    R2(a,b,c,d,e,f,g,h,16,0xe49b69c1)
+    R2(h,a,b,c,d,e,f,g,17,0xefbe4786)
+    R2(g,h,a,b,c,d,e,f,18,0x0fc19dc6)
+    R2(f,g,h,a,b,c,d,e,19,0x240ca1cc)
+    R2(e,f,g,h,a,b,c,d,20,0x2de92c6f)
+    R2(d,e,f,g,h,a,b,c,21,0x4a7484aa)
+    R2(c,d,e,f,g,h,a,b,22,0x5cb0a9dc)
+    R2(b,c,d,e,f,g,h,a,23,0x76f988da)
     
-    R(a,b,c,d,e,f,g,h,24)
-    R(h,a,b,c,d,e,f,g,25)
-    R(g,h,a,b,c,d,e,f,26)
-    R(f,g,h,a,b,c,d,e,27)
-    R(e,f,g,h,a,b,c,d,28)
-    R(d,e,f,g,h,a,b,c,29)
-    R(c,d,e,f,g,h,a,b,30)
-    R(b,c,d,e,f,g,h,a,31) 
-    
-    R(a,b,c,d,e,f,g,h,32)
-    R(h,a,b,c,d,e,f,g,33)
-    R(g,h,a,b,c,d,e,f,34)
-    R(f,g,h,a,b,c,d,e,35)
-    R(e,f,g,h,a,b,c,d,36)
-    R(d,e,f,g,h,a,b,c,37)
-    R(c,d,e,f,g,h,a,b,38)
-    R(b,c,d,e,f,g,h,a,39)
+    R2(a,b,c,d,e,f,g,h,24,0x983e5152)
+    R2(h,a,b,c,d,e,f,g,25,0xa831c66d)
+    R2(g,h,a,b,c,d,e,f,26,0xb00327c8)
+    R2(f,g,h,a,b,c,d,e,27,0xbf597fc7)
+    R2(e,f,g,h,a,b,c,d,28,0xc6e00bf3)
+    R2(d,e,f,g,h,a,b,c,29,0xd5a79147)
+    R2(c,d,e,f,g,h,a,b,30,0x06ca6351)
+    R2(b,c,d,e,f,g,h,a,31,0x14292967) 
+
+    R2(a,b,c,d,e,f,g,h,32,0x27b70a85)
+    R2(h,a,b,c,d,e,f,g,33,0x2e1b2138)
+    R2(g,h,a,b,c,d,e,f,34,0x4d2c6dfc)
+    R2(f,g,h,a,b,c,d,e,35,0x53380d13)
+    R2(e,f,g,h,a,b,c,d,36,0x650a7354)
+    R2(d,e,f,g,h,a,b,c,37,0x766a0abb)
+    R2(c,d,e,f,g,h,a,b,38,0x81c2c92e)
+    R2(b,c,d,e,f,g,h,a,39,0x92722c85)
     
-    R(a,b,c,d,e,f,g,h,40)
-    R(h,a,b,c,d,e,f,g,41)
-    R(g,h,a,b,c,d,e,f,42)
-    R(f,g,h,a,b,c,d,e,43)
-    R(e,f,g,h,a,b,c,d,44)
-    R(d,e,f,g,h,a,b,c,45)
-    R(c,d,e,f,g,h,a,b,46)
-    R(b,c,d,e,f,g,h,a,47)
-
-    R(a,b,c,d,e,f,g,h,48)
-    R(h,a,b,c,d,e,f,g,49)
-    R(g,h,a,b,c,d,e,f,50)
-    R(f,g,h,a,b,c,d,e,51)
-    R(e,f,g,h,a,b,c,d,52)
-    R(d,e,f,g,h,a,b,c,53)
-    R(c,d,e,f,g,h,a,b,54)
-    R(b,c,d,e,f,g,h,a,55)
+    R2(a,b,c,d,e,f,g,h,40,0xa2bfe8a1)
+    R2(h,a,b,c,d,e,f,g,41,0xa81a664b)
+    R2(g,h,a,b,c,d,e,f,42,0xc24b8b70)
+    R2(f,g,h,a,b,c,d,e,43,0xc76c51a3)
+    R2(e,f,g,h,a,b,c,d,44,0xd192e819)
+    R2(d,e,f,g,h,a,b,c,45,0xd6990624)
+    R2(c,d,e,f,g,h,a,b,46,0xf40e3585)
+    R2(b,c,d,e,f,g,h,a,47,0x106aa070)
     
-    R(a,b,c,d,e,f,g,h,56)
-    R(h,a,b,c,d,e,f,g,57)
-    R(g,h,a,b,c,d,e,f,58)
-    R(f,g,h,a,b,c,d,e,59)
-    R(e,f,g,h,a,b,c,d,60)
-    R(d,e,f,g,h,a,b,c,61)
-    R(c,d,e,f,g,h,a,b,62)
-    R(b,c,d,e,f,g,h,a,63)
+    R2(a,b,c,d,e,f,g,h,48,0x19a4c116)
+    R2(h,a,b,c,d,e,f,g,49,0x1e376c08)
+    R2(g,h,a,b,c,d,e,f,50,0x2748774c)
+    R2(f,g,h,a,b,c,d,e,51,0x34b0bcb5)
+    R2(e,f,g,h,a,b,c,d,52,0x391c0cb3)
+    R2(d,e,f,g,h,a,b,c,53,0x4ed8aa4a)
+    R2(c,d,e,f,g,h,a,b,54,0x5b9cca4f)
+    R2(b,c,d,e,f,g,h,a,55,0x682e6ff3)
+    
+    R2(a,b,c,d,e,f,g,h,56,0x748f82ee)
+    R2(h,a,b,c,d,e,f,g,57,0x78a5636f)
+    R2(g,h,a,b,c,d,e,f,58,0x84c87814)
+    R2(f,g,h,a,b,c,d,e,59,0x8cc70208)
+    R2(e,f,g,h,a,b,c,d,60,0x90befffa)
+    R2(d,e,f,g,h,a,b,c,61,0xa4506ceb)
+    R2(c,d,e,f,g,h,a,b,62,0xbef9a3f7)
+    R2(b,c,d,e,f,g,h,a,63,0xc67178f2)
     
     
     *h02 += a;
@@ -326,7 +295,7 @@
     {
         memset(&buffer[length], 0, 64-length);
         computeBlock(&h0, &h1, &h2, &h3, &h4, &h5, &h6, &h7, buffer);
-        memset(buffer, 0, length);
+        memset(buffer, 0, 48);
     }
     
     uint32_t lengthBitLow = lengthBit;
--- a/SHA2_64.cpp	Wed Sep 11 17:22:40 2013 +0000
+++ b/SHA2_64.cpp	Thu Sep 12 10:18:57 2013 +0000
@@ -2,30 +2,6 @@
 #include <string.h>
 
 
-static const uint64_t K[] =
-{
-   0x428a2f98d728ae22, 0x7137449123ef65cd, 0xb5c0fbcfec4d3b2f, 0xe9b5dba58189dbbc,
-   0x3956c25bf348b538, 0x59f111f1b605d019, 0x923f82a4af194f9b, 0xab1c5ed5da6d8118,
-   0xd807aa98a3030242, 0x12835b0145706fbe, 0x243185be4ee4b28c, 0x550c7dc3d5ffb4e2,
-   0x72be5d74f27b896f, 0x80deb1fe3b1696b1, 0x9bdc06a725c71235, 0xc19bf174cf692694,
-   0xe49b69c19ef14ad2, 0xefbe4786384f25e3, 0x0fc19dc68b8cd5b5, 0x240ca1cc77ac9c65,
-   0x2de92c6f592b0275, 0x4a7484aa6ea6e483, 0x5cb0a9dcbd41fbd4, 0x76f988da831153b5,
-   0x983e5152ee66dfab, 0xa831c66d2db43210, 0xb00327c898fb213f, 0xbf597fc7beef0ee4,
-   0xc6e00bf33da88fc2, 0xd5a79147930aa725, 0x06ca6351e003826f, 0x142929670a0e6e70,
-   0x27b70a8546d22ffc, 0x2e1b21385c26c926, 0x4d2c6dfc5ac42aed, 0x53380d139d95b3df,
-   0x650a73548baf63de, 0x766a0abb3c77b2a8, 0x81c2c92e47edaee6, 0x92722c851482353b,
-   0xa2bfe8a14cf10364, 0xa81a664bbc423001, 0xc24b8b70d0f89791, 0xc76c51a30654be30,
-   0xd192e819d6ef5218, 0xd69906245565a910, 0xf40e35855771202a, 0x106aa07032bbd1b8,
-   0x19a4c116b8d2d0c8, 0x1e376c085141ab53, 0x2748774cdf8eeb99, 0x34b0bcb5e19b48a8,
-   0x391c0cb3c5c95a63, 0x4ed8aa4ae3418acb, 0x5b9cca4f7763e373, 0x682e6ff3d6b2b8a3,
-   0x748f82ee5defb2fc, 0x78a5636f43172f60, 0x84c87814a1f0ab72, 0x8cc702081a6439ec,
-   0x90befffa23631e28, 0xa4506cebde82bde9, 0xbef9a3f7b2c67915, 0xc67178f2e372532b,
-   0xca273eceea26619c, 0xd186b8c721c0c207, 0xeada7dd6cde0eb1e, 0xf57d4f7fee6ed178,
-   0x06f067aa72176fba, 0x0a637dc5a2c898a6, 0x113f9804bef90dae, 0x1b710b35131c471b,
-   0x28db77f523047d84, 0x32caab7b40c72493, 0x3c9ebe0a15c9bebc, 0x431d67c49c100d4c,
-   0x4cc5d4becb3e42b6, 0x597f299cfc657e2a, 0x5fcb6fab3ad6faec, 0x6c44198c4a475817
-};
-
 static const uint64_t H[] =
 {
     // SHA-384
@@ -39,14 +15,8 @@
 
 static uint64_t revWord(uint64_t w)
 {
-    return (w >> 56) 
-        | ((w & 0x00FF000000000000) >> 40) 
-        | ((w & 0x0000FF0000000000) >> 24) 
-        | ((w & 0x000000FF00000000) >> 8) 
-        | ((w & 0x00000000FF000000) << 8) 
-        | ((w & 0x0000000000FF0000) << 24) 
-        | ((w & 0x000000000000FF00) << 40) 
-        | ((w & 0x00000000000000FF) << 56);
+    return __rev((w & 0xFFFFFFFF00000000) >> 32) 
+         | ((uint64_t)(__rev(w & 0x00000000FFFFFFFF)) << 32);
 }
 
 #define ROTL(W,N) (((W) << (N)) | ((W) >> (64-(N))))
@@ -58,7 +28,11 @@
 #define SSIG0(X) (ROTR((X),1) ^ ROTR((X),8) ^ ((X) >> 7))
 #define SSIG1(X) (ROTR((X),19) ^ ROTR((X),61) ^ ((X) >> 6))
 
-    
+#define R(A,B,C,D,E,F,G,H,K,T)  T1 = H + BSIG1(E) + CH(E,F,G) + K + w[T]; \
+                              T2 = BSIG0(A) + MAJ(A,B,C); \
+                              D += T1; \
+                              H = T1 + T2;    
+                          
 
 SHA2_64::SHA2_64(SHA2_64_TYPE t):
 type(t),
@@ -198,28 +172,124 @@
                      uint8_t *buffer)
 {
     uint64_t w[80];
-    for(int t = 0; t < 16; ++t) 
-    {
-        memcpy(&w[t], &buffer[t*8], 8);
-        w[t] = revWord(w[t]);
-    }
+    uint64_t *buffer2 = (uint64_t*)buffer;
+
+    w[0] = revWord(buffer2[0]);
+    w[1] = revWord(buffer2[1]);
+    w[2] = revWord(buffer2[2]);
+    w[3] = revWord(buffer2[3]);
+    w[4] = revWord(buffer2[4]);
+    w[5] = revWord(buffer2[5]);
+    w[6] = revWord(buffer2[6]);
+    w[7] = revWord(buffer2[7]); 
+    w[8] = revWord(buffer2[8]);
+    w[9] = revWord(buffer2[9]);
+    w[10] = revWord(buffer2[10]);
+    w[11] = revWord(buffer2[11]);
+    w[12] = revWord(buffer2[12]);
+    w[13] = revWord(buffer2[13]);
+    w[14] = revWord(buffer2[14]);
+    w[15] = revWord(buffer2[15]);     
+    
     for(int t = 16; t < 80; ++t)
         w[t] = SSIG1(w[t-2]) + w[t-7] + SSIG0(w[t-15]) + w[t-16];
     
     uint64_t a = *h02, b = *h12, c = *h22, d = *h32, e = *h42, f = *h52, g = *h62, h = *h72;
-    for(int t = 0; t < 80; ++t)
-    {
-        uint64_t T1 = h + BSIG1(e) + CH(e,f,g) + K[t] + w[t];
-        uint64_t T2 = BSIG0(a) + MAJ(a,b,c);
-        h = g;
-        g = f;
-        f = e;
-        e = d + T1;
-        d = c;
-        c = b;
-        b = a;
-        a = T1 + T2;
-    }
+    uint64_t T1, T2;
+    
+
+    R(a,b,c,d,e,f,g,h,0x428a2f98d728ae22,0)
+    R(h,a,b,c,d,e,f,g,0x7137449123ef65cd,1)
+    R(g,h,a,b,c,d,e,f,0xb5c0fbcfec4d3b2f,2)
+    R(f,g,h,a,b,c,d,e,0xe9b5dba58189dbbc,3)
+    R(e,f,g,h,a,b,c,d,0x3956c25bf348b538,4)
+    R(d,e,f,g,h,a,b,c,0x59f111f1b605d019,5)
+    R(c,d,e,f,g,h,a,b,0x923f82a4af194f9b,6)
+    R(b,c,d,e,f,g,h,a,0xab1c5ed5da6d8118,7)
+
+    R(a,b,c,d,e,f,g,h,0xd807aa98a3030242,8)
+    R(h,a,b,c,d,e,f,g,0x12835b0145706fbe,9)
+    R(g,h,a,b,c,d,e,f,0x243185be4ee4b28c,10)
+    R(f,g,h,a,b,c,d,e,0x550c7dc3d5ffb4e2,11)
+    R(e,f,g,h,a,b,c,d,0x72be5d74f27b896f,12)
+    R(d,e,f,g,h,a,b,c,0x80deb1fe3b1696b1,13)
+    R(c,d,e,f,g,h,a,b,0x9bdc06a725c71235,14)
+    R(b,c,d,e,f,g,h,a,0xc19bf174cf692694,15)
+    
+    
+    R(a,b,c,d,e,f,g,h,0xe49b69c19ef14ad2,16)
+    R(h,a,b,c,d,e,f,g,0xefbe4786384f25e3,17)
+    R(g,h,a,b,c,d,e,f,0x0fc19dc68b8cd5b5,18)
+    R(f,g,h,a,b,c,d,e,0x240ca1cc77ac9c65,19)
+    R(e,f,g,h,a,b,c,d,0x2de92c6f592b0275,20)
+    R(d,e,f,g,h,a,b,c,0x4a7484aa6ea6e483,21)
+    R(c,d,e,f,g,h,a,b,0x5cb0a9dcbd41fbd4,22)
+    R(b,c,d,e,f,g,h,a,0x76f988da831153b5,23)
+    
+    R(a,b,c,d,e,f,g,h,0x983e5152ee66dfab,24)
+    R(h,a,b,c,d,e,f,g,0xa831c66d2db43210,25)
+    R(g,h,a,b,c,d,e,f,0xb00327c898fb213f,26)
+    R(f,g,h,a,b,c,d,e,0xbf597fc7beef0ee4,27)
+    R(e,f,g,h,a,b,c,d,0xc6e00bf33da88fc2,28)
+    R(d,e,f,g,h,a,b,c,0xd5a79147930aa725,29)
+    R(c,d,e,f,g,h,a,b,0x06ca6351e003826f,30)
+    R(b,c,d,e,f,g,h,a,0x142929670a0e6e70,31) 
+    
+    
+    R(a,b,c,d,e,f,g,h,0x27b70a8546d22ffc,32)
+    R(h,a,b,c,d,e,f,g,0x2e1b21385c26c926,33)
+    R(g,h,a,b,c,d,e,f,0x4d2c6dfc5ac42aed,34)
+    R(f,g,h,a,b,c,d,e,0x53380d139d95b3df,35)
+    R(e,f,g,h,a,b,c,d,0x650a73548baf63de,36)
+    R(d,e,f,g,h,a,b,c,0x766a0abb3c77b2a8,37)
+    R(c,d,e,f,g,h,a,b,0x81c2c92e47edaee6,38)
+    R(b,c,d,e,f,g,h,a,0x92722c851482353b,39)
+    
+    R(a,b,c,d,e,f,g,h,0xa2bfe8a14cf10364,40)
+    R(h,a,b,c,d,e,f,g,0xa81a664bbc423001,41)
+    R(g,h,a,b,c,d,e,f,0xc24b8b70d0f89791,42)
+    R(f,g,h,a,b,c,d,e,0xc76c51a30654be30,43)
+    R(e,f,g,h,a,b,c,d,0xd192e819d6ef5218,44)
+    R(d,e,f,g,h,a,b,c,0xd69906245565a910,45)
+    R(c,d,e,f,g,h,a,b,0xf40e35855771202a,46)
+    R(b,c,d,e,f,g,h,a,0x106aa07032bbd1b8,47)
+
+    R(a,b,c,d,e,f,g,h,0x19a4c116b8d2d0c8,48)
+    R(h,a,b,c,d,e,f,g,0x1e376c085141ab53,49)
+    R(g,h,a,b,c,d,e,f,0x2748774cdf8eeb99,50)
+    R(f,g,h,a,b,c,d,e,0x34b0bcb5e19b48a8,51)
+    R(e,f,g,h,a,b,c,d,0x391c0cb3c5c95a63,52)
+    R(d,e,f,g,h,a,b,c,0x4ed8aa4ae3418acb,53)
+    R(c,d,e,f,g,h,a,b,0x5b9cca4f7763e373,54)
+    R(b,c,d,e,f,g,h,a,0x682e6ff3d6b2b8a3,55)
+    
+    R(a,b,c,d,e,f,g,h,0x748f82ee5defb2fc,56)
+    R(h,a,b,c,d,e,f,g,0x78a5636f43172f60,57)
+    R(g,h,a,b,c,d,e,f,0x84c87814a1f0ab72,58)
+    R(f,g,h,a,b,c,d,e,0x8cc702081a6439ec,59)
+    R(e,f,g,h,a,b,c,d,0x90befffa23631e28,60)
+    R(d,e,f,g,h,a,b,c,0xa4506cebde82bde9,61)
+    R(c,d,e,f,g,h,a,b,0xbef9a3f7b2c67915,62)
+    R(b,c,d,e,f,g,h,a,0xc67178f2e372532b,63)
+
+    R(a,b,c,d,e,f,g,h,0xca273eceea26619c,64)
+    R(h,a,b,c,d,e,f,g,0xd186b8c721c0c207,65)
+    R(g,h,a,b,c,d,e,f,0xeada7dd6cde0eb1e,66)
+    R(f,g,h,a,b,c,d,e,0xf57d4f7fee6ed178,67)
+    R(e,f,g,h,a,b,c,d,0x06f067aa72176fba,68)
+    R(d,e,f,g,h,a,b,c,0x0a637dc5a2c898a6,69)
+    R(c,d,e,f,g,h,a,b,0x113f9804bef90dae,70)
+    R(b,c,d,e,f,g,h,a,0x1b710b35131c471b,71)
+
+    R(a,b,c,d,e,f,g,h,0x28db77f523047d84,72)
+    R(h,a,b,c,d,e,f,g,0x32caab7b40c72493,73)
+    R(g,h,a,b,c,d,e,f,0x3c9ebe0a15c9bebc,74)
+    R(f,g,h,a,b,c,d,e,0x431d67c49c100d4c,75)
+    R(e,f,g,h,a,b,c,d,0x4cc5d4becb3e42b6,76)
+    R(d,e,f,g,h,a,b,c,0x597f299cfc657e2a,77)
+    R(c,d,e,f,g,h,a,b,0x5fcb6fab3ad6faec,78)
+    R(b,c,d,e,f,g,h,a,0x6c44198c4a475817,79)
+            
     *h02 += a;
     *h12 += b;
     *h22 += c;