curve25519: include reference implementation

include/libssh/curve25519.h

@@ -26,15 +26,23 @@
 
 #ifdef WITH_NACL
 
-#define HAVE_CURVE25519
 #include <nacl/crypto_scalarmult_curve25519.h>
 #define CURVE25519_PUBKEY_SIZE crypto_scalarmult_curve25519_BYTES
 #define CURVE25519_PRIVKEY_SIZE crypto_scalarmult_curve25519_SCALARBYTES
+#define crypto_scalarmult_base crypto_scalarmult_curve25519_base
+#define crypto_scalarmult crypto_scalarmult_curve25519
+#else
 
+#define CURVE25519_PUBKEY_SIZE 32
+#define CURVE25519_PRIVKEY_SIZE 32
+int crypto_scalarmult_base(unsigned char *q, const unsigned char *n);
+int crypto_scalarmult(unsigned char *q, const unsigned char *n, const unsigned char *p);
+#endif /* WITH_NACL */
+
+#define HAVE_CURVE25519
 typedef unsigned char ssh_curve25519_pubkey[CURVE25519_PUBKEY_SIZE];
 typedef unsigned char ssh_curve25519_privkey[CURVE25519_PRIVKEY_SIZE];
 
-#endif /* WITH_NACL */
 
 int ssh_client_curve25519_init(ssh_session session);
 int ssh_client_curve25519_reply(ssh_session session, ssh_buffer packet);

src/CMakeLists.txt

@@ -115,6 +115,7 @@ set(libssh_SRCS
   client.c
   config.c
   connect.c
+  curve25519.c
   dh.c
   ecdh.c
   error.c
@@ -204,12 +205,12 @@ if (WITH_GSSAPI AND GSSAPI_FOUND)
   )
 endif (WITH_GSSAPI AND GSSAPI_FOUND)
 
-if (WITH_NACL)
+if (NOT WITH_NACL)
   set(libssh_SRCS
     ${libssh_SRCS}
-    curve25519.c
+    curve25519_ref.c
   )
-endif (WITH_NACL)
+endif (NOT WITH_NACL)
 
 include_directories(
   ${LIBSSH_PUBLIC_INCLUDE_DIRS}

src/curve25519.c

@@ -26,7 +26,10 @@
 #include "libssh/curve25519.h"
 #ifdef HAVE_CURVE25519
 
+#ifdef WITH_NACL
 #include "nacl/crypto_scalarmult_curve25519.h"
+#endif
+
 #include "libssh/ssh2.h"
 #include "libssh/buffer.h"
 #include "libssh/priv.h"
@@ -53,7 +56,7 @@ int ssh_client_curve25519_init(ssh_session session){
 	  return SSH_ERROR;
   }
 
-  crypto_scalarmult_curve25519_base(session->next_crypto->curve25519_client_pubkey,
+  crypto_scalarmult_base(session->next_crypto->curve25519_client_pubkey,
 		  session->next_crypto->curve25519_privkey);
   client_pubkey = ssh_string_new(CURVE25519_PUBKEY_SIZE);
   if (client_pubkey == NULL) {
@@ -81,10 +84,10 @@ static int ssh_curve25519_build_k(ssh_session session) {
   }
 
   if (session->server)
-	  crypto_scalarmult_curve25519(k, session->next_crypto->curve25519_privkey,
+	  crypto_scalarmult(k, session->next_crypto->curve25519_privkey,
 			  session->next_crypto->curve25519_client_pubkey);
   else
-	  crypto_scalarmult_curve25519(k, session->next_crypto->curve25519_privkey,
+	  crypto_scalarmult(k, session->next_crypto->curve25519_privkey,
 			  session->next_crypto->curve25519_server_pubkey);
 
   BN_bin2bn(k, CURVE25519_PUBKEY_SIZE, session->next_crypto->k);
@@ -195,7 +198,7 @@ int ssh_server_curve25519_init(ssh_session session, ssh_buffer packet){
   	  return SSH_ERROR;
     }
 
-    crypto_scalarmult_curve25519_base(session->next_crypto->curve25519_server_pubkey,
+    crypto_scalarmult_base(session->next_crypto->curve25519_server_pubkey,
   		  session->next_crypto->curve25519_privkey);
 
     q_s_string = ssh_string_new(CURVE25519_PUBKEY_SIZE);

src/curve25519_ref.c

@@ -0,0 +1,272 @@
+/*
+version 20081011
+Matthew Dempsky
+Public domain.
+Derived from public domain code by D. J. Bernstein.
+*/
+
+#include "libssh/curve25519.h"
+static const unsigned char base[32] = {9};
+
+int crypto_scalarmult_base(unsigned char *q,
+  const unsigned char *n)
+{
+  return crypto_scalarmult(q,n,base);
+}
+
+static void add(unsigned int out[32],const unsigned int a[32],const unsigned int b[32])
+{
+  unsigned int j;
+  unsigned int u;
+  u = 0;
+  for (j = 0;j < 31;++j) { u += a[j] + b[j]; out[j] = u & 255; u >>= 8; }
+  u += a[31] + b[31]; out[31] = u;
+}
+
+static void sub(unsigned int out[32],const unsigned int a[32],const unsigned int b[32])
+{
+  unsigned int j;
+  unsigned int u;
+  u = 218;
+  for (j = 0;j < 31;++j) {
+    u += a[j] + 65280 - b[j];
+    out[j] = u & 255;
+    u >>= 8;
+  }
+  u += a[31] - b[31];
+  out[31] = u;
+}
+
+static void squeeze(unsigned int a[32])
+{
+  unsigned int j;
+  unsigned int u;
+  u = 0;
+  for (j = 0;j < 31;++j) { u += a[j]; a[j] = u & 255; u >>= 8; }
+  u += a[31]; a[31] = u & 127;
+  u = 19 * (u >> 7);
+  for (j = 0;j < 31;++j) { u += a[j]; a[j] = u & 255; u >>= 8; }
+  u += a[31]; a[31] = u;
+}
+
+static const unsigned int minusp[32] = {
+ 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128
+} ;
+
+static void freeze(unsigned int a[32])
+{
+  unsigned int aorig[32];
+  unsigned int j;
+  unsigned int negative;
+
+  for (j = 0;j < 32;++j) aorig[j] = a[j];
+  add(a,a,minusp);
+  negative = -((a[31] >> 7) & 1);
+  for (j = 0;j < 32;++j) a[j] ^= negative & (aorig[j] ^ a[j]);
+}
+
+static void mult(unsigned int out[32],const unsigned int a[32],const unsigned int b[32])
+{
+  unsigned int i;
+  unsigned int j;
+  unsigned int u;
+
+  for (i = 0;i < 32;++i) {
+    u = 0;
+    for (j = 0;j <= i;++j) u += a[j] * b[i - j];
+    for (j = i + 1;j < 32;++j) u += 38 * a[j] * b[i + 32 - j];
+    out[i] = u;
+  }
+  squeeze(out);
+}
+
+static void mult121665(unsigned int out[32],const unsigned int a[32])
+{
+  unsigned int j;
+  unsigned int u;
+
+  u = 0;
+  for (j = 0;j < 31;++j) { u += 121665 * a[j]; out[j] = u & 255; u >>= 8; }
+  u += 121665 * a[31]; out[31] = u & 127;
+  u = 19 * (u >> 7);
+  for (j = 0;j < 31;++j) { u += out[j]; out[j] = u & 255; u >>= 8; }
+  u += out[j]; out[j] = u;
+}
+
+static void square(unsigned int out[32],const unsigned int a[32])
+{
+  unsigned int i;
+  unsigned int j;
+  unsigned int u;
+
+  for (i = 0;i < 32;++i) {
+    u = 0;
+    for (j = 0;j < i - j;++j) u += a[j] * a[i - j];
+    for (j = i + 1;j < i + 32 - j;++j) u += 38 * a[j] * a[i + 32 - j];
+    u *= 2;
+    if ((i & 1) == 0) {
+      u += a[i / 2] * a[i / 2];
+      u += 38 * a[i / 2 + 16] * a[i / 2 + 16];
+    }
+    out[i] = u;
+  }
+  squeeze(out);
+}
+
+static void c_select(unsigned int p[64],unsigned int q[64],const unsigned int r[64],const unsigned int s[64],unsigned int b)
+{
+  unsigned int j;
+  unsigned int t;
+  unsigned int bminus1;
+
+  bminus1 = b - 1;
+  for (j = 0;j < 64;++j) {
+    t = bminus1 & (r[j] ^ s[j]);
+    p[j] = s[j] ^ t;
+    q[j] = r[j] ^ t;
+  }
+}
+
+static void mainloop(unsigned int work[64],const unsigned char e[32])
+{
+  unsigned int xzm1[64];
+  unsigned int xzm[64];
+  unsigned int xzmb[64];
+  unsigned int xzm1b[64];
+  unsigned int xznb[64];
+  unsigned int xzn1b[64];
+  unsigned int a0[64];
+  unsigned int a1[64];
+  unsigned int b0[64];
+  unsigned int b1[64];
+  unsigned int c1[64];
+  unsigned int r[32];
+  unsigned int s[32];
+  unsigned int t[32];
+  unsigned int u[32];
+  unsigned int j;
+  unsigned int b;
+  int pos;
+
+  for (j = 0;j < 32;++j) xzm1[j] = work[j];
+  xzm1[32] = 1;
+  for (j = 33;j < 64;++j) xzm1[j] = 0;
+
+  xzm[0] = 1;
+  for (j = 1;j < 64;++j) xzm[j] = 0;
+
+  for (pos = 254;pos >= 0;--pos) {
+    b = e[pos / 8] >> (pos & 7);
+    b &= 1;
+    c_select(xzmb,xzm1b,xzm,xzm1,b);
+    add(a0,xzmb,xzmb + 32);
+    sub(a0 + 32,xzmb,xzmb + 32);
+    add(a1,xzm1b,xzm1b + 32);
+    sub(a1 + 32,xzm1b,xzm1b + 32);
+    square(b0,a0);
+    square(b0 + 32,a0 + 32);
+    mult(b1,a1,a0 + 32);
+    mult(b1 + 32,a1 + 32,a0);
+    add(c1,b1,b1 + 32);
+    sub(c1 + 32,b1,b1 + 32);
+    square(r,c1 + 32);
+    sub(s,b0,b0 + 32);
+    mult121665(t,s);
+    add(u,t,b0);
+    mult(xznb,b0,b0 + 32);
+    mult(xznb + 32,s,u);
+    square(xzn1b,c1);
+    mult(xzn1b + 32,r,work);
+    c_select(xzm,xzm1,xznb,xzn1b,b);
+  }
+
+  for (j = 0;j < 64;++j) work[j] = xzm[j];
+}
+
+static void recip(unsigned int out[32],const unsigned int z[32])
+{
+  unsigned int z2[32];
+  unsigned int z9[32];
+  unsigned int z11[32];
+  unsigned int z2_5_0[32];
+  unsigned int z2_10_0[32];
+  unsigned int z2_20_0[32];
+  unsigned int z2_50_0[32];
+  unsigned int z2_100_0[32];
+  unsigned int t0[32];
+  unsigned int t1[32];
+  int i;
+
+  /* 2 */ square(z2,z);
+  /* 4 */ square(t1,z2);
+  /* 8 */ square(t0,t1);
+  /* 9 */ mult(z9,t0,z);
+  /* 11 */ mult(z11,z9,z2);
+  /* 22 */ square(t0,z11);
+  /* 2^5 - 2^0 = 31 */ mult(z2_5_0,t0,z9);
+
+  /* 2^6 - 2^1 */ square(t0,z2_5_0);
+  /* 2^7 - 2^2 */ square(t1,t0);
+  /* 2^8 - 2^3 */ square(t0,t1);
+  /* 2^9 - 2^4 */ square(t1,t0);
+  /* 2^10 - 2^5 */ square(t0,t1);
+  /* 2^10 - 2^0 */ mult(z2_10_0,t0,z2_5_0);
+
+  /* 2^11 - 2^1 */ square(t0,z2_10_0);
+  /* 2^12 - 2^2 */ square(t1,t0);
+  /* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { square(t0,t1); square(t1,t0); }
+  /* 2^20 - 2^0 */ mult(z2_20_0,t1,z2_10_0);
+
+  /* 2^21 - 2^1 */ square(t0,z2_20_0);
+  /* 2^22 - 2^2 */ square(t1,t0);
+  /* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { square(t0,t1); square(t1,t0); }
+  /* 2^40 - 2^0 */ mult(t0,t1,z2_20_0);
+
+  /* 2^41 - 2^1 */ square(t1,t0);
+  /* 2^42 - 2^2 */ square(t0,t1);
+  /* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { square(t1,t0); square(t0,t1); }
+  /* 2^50 - 2^0 */ mult(z2_50_0,t0,z2_10_0);
+
+  /* 2^51 - 2^1 */ square(t0,z2_50_0);
+  /* 2^52 - 2^2 */ square(t1,t0);
+  /* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { square(t0,t1); square(t1,t0); }
+  /* 2^100 - 2^0 */ mult(z2_100_0,t1,z2_50_0);
+
+  /* 2^101 - 2^1 */ square(t1,z2_100_0);
+  /* 2^102 - 2^2 */ square(t0,t1);
+  /* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { square(t1,t0); square(t0,t1); }
+  /* 2^200 - 2^0 */ mult(t1,t0,z2_100_0);
+
+  /* 2^201 - 2^1 */ square(t0,t1);
+  /* 2^202 - 2^2 */ square(t1,t0);
+  /* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { square(t0,t1); square(t1,t0); }
+  /* 2^250 - 2^0 */ mult(t0,t1,z2_50_0);
+
+  /* 2^251 - 2^1 */ square(t1,t0);
+  /* 2^252 - 2^2 */ square(t0,t1);
+  /* 2^253 - 2^3 */ square(t1,t0);
+  /* 2^254 - 2^4 */ square(t0,t1);
+  /* 2^255 - 2^5 */ square(t1,t0);
+  /* 2^255 - 21 */ mult(out,t1,z11);
+}
+
+int crypto_scalarmult(unsigned char *q,
+  const unsigned char *n,
+  const unsigned char *p)
+{
+  unsigned int work[96];
+  unsigned char e[32];
+  unsigned int i;
+  for (i = 0;i < 32;++i) e[i] = n[i];
+  e[0] &= 248;
+  e[31] &= 127;
+  e[31] |= 64;
+  for (i = 0;i < 32;++i) work[i] = p[i];
+  mainloop(work,e);
+  recip(work + 32,work + 32);
+  mult(work + 64,work,work + 32);
+  freeze(work + 64);
+  for (i = 0;i < 32;++i) q[i] = work[64 + i];
+  return 0;
+}
+