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simplesshd/dropbear/curve25519.c
2020-12-28 16:40:37 -05:00

498 lines
9.6 KiB
C

/*
* Dropbear - a SSH2 server
*
* Copyright (c) 2002,2003 Matt Johnston
* All rights reserved.
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in
* all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE. */
#include "includes.h"
#include "dbrandom.h"
#include "curve25519.h"
#if DROPBEAR_CURVE25519 || DROPBEAR_ED25519
/* Modified TweetNaCl version 20140427, a self-contained public-domain C library.
* https://tweetnacl.cr.yp.to/ */
#define FOR(i,n) for (i = 0;i < n;++i)
#define sv static void
typedef unsigned char u8;
typedef unsigned long u32;
typedef unsigned long long u64;
typedef long long i64;
typedef i64 gf[16];
#if DROPBEAR_CURVE25519
static const gf
_121665 = {0xDB41,1};
#endif /* DROPBEAR_CURVE25519 */
#if DROPBEAR_ED25519
static const gf
gf0,
gf1 = {1},
D2 = {0xf159, 0x26b2, 0x9b94, 0xebd6, 0xb156, 0x8283, 0x149a, 0x00e0, 0xd130, 0xeef3, 0x80f2, 0x198e, 0xfce7, 0x56df, 0xd9dc, 0x2406},
X = {0xd51a, 0x8f25, 0x2d60, 0xc956, 0xa7b2, 0x9525, 0xc760, 0x692c, 0xdc5c, 0xfdd6, 0xe231, 0xc0a4, 0x53fe, 0xcd6e, 0x36d3, 0x2169},
Y = {0x6658, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666};
#if DROPBEAR_SIGNKEY_VERIFY
static const gf
D = {0x78a3, 0x1359, 0x4dca, 0x75eb, 0xd8ab, 0x4141, 0x0a4d, 0x0070, 0xe898, 0x7779, 0x4079, 0x8cc7, 0xfe73, 0x2b6f, 0x6cee, 0x5203},
I = {0xa0b0, 0x4a0e, 0x1b27, 0xc4ee, 0xe478, 0xad2f, 0x1806, 0x2f43, 0xd7a7, 0x3dfb, 0x0099, 0x2b4d, 0xdf0b, 0x4fc1, 0x2480, 0x2b83};
#endif /* DROPBEAR_SIGNKEY_VERIFY */
#endif /* DROPBEAR_ED25519 */
#if DROPBEAR_ED25519
#if DROPBEAR_SIGNKEY_VERIFY
static int vn(const u8 *x,const u8 *y,u32 n)
{
u32 i,d = 0;
FOR(i,n) d |= x[i]^y[i];
return (1 & ((d - 1) >> 8)) - 1;
}
static int crypto_verify_32(const u8 *x,const u8 *y)
{
return vn(x,y,32);
}
#endif /* DROPBEAR_SIGNKEY_VERIFY */
sv set25519(gf r, const gf a)
{
int i;
FOR(i,16) r[i]=a[i];
}
#endif /* DROPBEAR_ED25519 */
sv car25519(gf o)
{
int i;
i64 c;
FOR(i,16) {
o[i]+=(1LL<<16);
c=o[i]>>16;
o[(i+1)*(i<15)]+=c-1+37*(c-1)*(i==15);
o[i]-=c<<16;
}
}
sv sel25519(gf p,gf q,int b)
{
i64 t,i,c=~(b-1);
FOR(i,16) {
t= c&(p[i]^q[i]);
p[i]^=t;
q[i]^=t;
}
}
sv pack25519(u8 *o,const gf n)
{
int i,j,b;
gf m,t;
FOR(i,16) t[i]=n[i];
car25519(t);
car25519(t);
car25519(t);
FOR(j,2) {
m[0]=t[0]-0xffed;
for(i=1;i<15;i++) {
m[i]=t[i]-0xffff-((m[i-1]>>16)&1);
m[i-1]&=0xffff;
}
m[15]=t[15]-0x7fff-((m[14]>>16)&1);
b=(m[15]>>16)&1;
m[14]&=0xffff;
sel25519(t,m,1-b);
}
FOR(i,16) {
o[2*i]=t[i]&0xff;
o[2*i+1]=t[i]>>8;
}
}
#if DROPBEAR_ED25519
#if DROPBEAR_SIGNKEY_VERIFY
static int neq25519(const gf a, const gf b)
{
u8 c[32],d[32];
pack25519(c,a);
pack25519(d,b);
return crypto_verify_32(c,d);
}
#endif /* DROPBEAR_SIGNKEY_VERIFY */
static u8 par25519(const gf a)
{
u8 d[32];
pack25519(d,a);
return d[0]&1;
}
#endif /* DROPBEAR_ED25519 */
sv unpack25519(gf o, const u8 *n)
{
int i;
FOR(i,16) o[i]=n[2*i]+((i64)n[2*i+1]<<8);
o[15]&=0x7fff;
}
sv A(gf o,const gf a,const gf b)
{
int i;
FOR(i,16) o[i]=a[i]+b[i];
}
sv Z(gf o,const gf a,const gf b)
{
int i;
FOR(i,16) o[i]=a[i]-b[i];
}
sv M(gf o,const gf a,const gf b)
{
i64 i,j,t[31];
FOR(i,31) t[i]=0;
FOR(i,16) FOR(j,16) t[i+j]+=a[i]*b[j];
FOR(i,15) t[i]+=38*t[i+16];
FOR(i,16) o[i]=t[i];
car25519(o);
car25519(o);
}
sv S(gf o,const gf a)
{
M(o,a,a);
}
sv inv25519(gf o,const gf i)
{
gf c;
int a;
FOR(a,16) c[a]=i[a];
for(a=253;a>=0;a--) {
S(c,c);
if(a!=2&&a!=4) M(c,c,i);
}
FOR(a,16) o[a]=c[a];
}
#if DROPBEAR_ED25519 && DROPBEAR_SIGNKEY_VERIFY
sv pow2523(gf o,const gf i)
{
gf c;
int a;
FOR(a,16) c[a]=i[a];
for(a=250;a>=0;a--) {
S(c,c);
if(a!=1) M(c,c,i);
}
FOR(a,16) o[a]=c[a];
}
#endif /* DROPBEAR_ED25519 && DROPBEAR_SIGNKEY_VERIFY */
#if DROPBEAR_CURVE25519
void dropbear_curve25519_scalarmult(u8 *q,const u8 *n,const u8 *p)
{
u8 z[32];
i64 x[80],r,i;
gf a,b,c,d,e,f;
FOR(i,31) z[i]=n[i];
z[31]=(n[31]&127)|64;
z[0]&=248;
unpack25519(x,p);
FOR(i,16) {
b[i]=x[i];
d[i]=a[i]=c[i]=0;
}
a[0]=d[0]=1;
for(i=254;i>=0;--i) {
r=(z[i>>3]>>(i&7))&1;
sel25519(a,b,r);
sel25519(c,d,r);
A(e,a,c);
Z(a,a,c);
A(c,b,d);
Z(b,b,d);
S(d,e);
S(f,a);
M(a,c,a);
M(c,b,e);
A(e,a,c);
Z(a,a,c);
S(b,a);
Z(c,d,f);
M(a,c,_121665);
A(a,a,d);
M(c,c,a);
M(a,d,f);
M(d,b,x);
S(b,e);
sel25519(a,b,r);
sel25519(c,d,r);
}
FOR(i,16) {
x[i+16]=a[i];
x[i+32]=c[i];
x[i+48]=b[i];
x[i+64]=d[i];
}
inv25519(x+32,x+32);
M(x+16,x+16,x+32);
pack25519(q,x+16);
}
#endif /* DROPBEAR_CURVE25519 */
#if DROPBEAR_ED25519
static int crypto_hash(u8 *out,const u8 *m,u64 n)
{
hash_state hs;
sha512_init(&hs);
sha512_process(&hs, m, n);
return sha512_done(&hs, out);
}
sv add(gf p[4],gf q[4])
{
gf a,b,c,d,t,e,f,g,h;
Z(a, p[1], p[0]);
Z(t, q[1], q[0]);
M(a, a, t);
A(b, p[0], p[1]);
A(t, q[0], q[1]);
M(b, b, t);
M(c, p[3], q[3]);
M(c, c, D2);
M(d, p[2], q[2]);
A(d, d, d);
Z(e, b, a);
Z(f, d, c);
A(g, d, c);
A(h, b, a);
M(p[0], e, f);
M(p[1], h, g);
M(p[2], g, f);
M(p[3], e, h);
}
sv cswap(gf p[4],gf q[4],u8 b)
{
int i;
FOR(i,4)
sel25519(p[i],q[i],b);
}
sv pack(u8 *r,gf p[4])
{
gf tx, ty, zi;
inv25519(zi, p[2]);
M(tx, p[0], zi);
M(ty, p[1], zi);
pack25519(r, ty);
r[31] ^= par25519(tx) << 7;
}
sv scalarmult(gf p[4],gf q[4],const u8 *s)
{
int i;
set25519(p[0],gf0);
set25519(p[1],gf1);
set25519(p[2],gf1);
set25519(p[3],gf0);
for (i = 255;i >= 0;--i) {
u8 b = (s[i/8]>>(i&7))&1;
cswap(p,q,b);
add(q,p);
add(p,p);
cswap(p,q,b);
}
}
sv scalarbase(gf p[4],const u8 *s)
{
gf q[4];
set25519(q[0],X);
set25519(q[1],Y);
set25519(q[2],gf1);
M(q[3],X,Y);
scalarmult(p,q,s);
}
void dropbear_ed25519_make_key(u8 *pk,u8 *sk)
{
u8 d[64];
gf p[4];
genrandom(sk, 32);
crypto_hash(d, sk, 32);
d[0] &= 248;
d[31] &= 127;
d[31] |= 64;
scalarbase(p,d);
pack(pk,p);
}
static const u64 L[32] = {0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0x10};
sv modL(u8 *r,i64 x[64])
{
i64 carry,i,j;
for (i = 63;i >= 32;--i) {
carry = 0;
for (j = i - 32;j < i - 12;++j) {
x[j] += carry - 16 * x[i] * L[j - (i - 32)];
carry = (x[j] + 128) >> 8;
x[j] -= carry << 8;
}
x[j] += carry;
x[i] = 0;
}
carry = 0;
FOR(j,32) {
x[j] += carry - (x[31] >> 4) * L[j];
carry = x[j] >> 8;
x[j] &= 255;
}
FOR(j,32) x[j] -= carry * L[j];
FOR(i,32) {
x[i+1] += x[i] >> 8;
r[i] = x[i] & 255;
}
}
sv reduce(u8 *r)
{
i64 x[64],i;
FOR(i,64) x[i] = (u64) r[i];
FOR(i,64) r[i] = 0;
modL(r,x);
}
void dropbear_ed25519_sign(const u8 *m,u32 mlen,u8 *s,u32 *slen,const u8 *sk, const u8 *pk)
{
hash_state hs;
u8 d[64],h[64],r[64];
i64 x[64];
gf p[4];
u32 i,j;
crypto_hash(d, sk, 32);
d[0] &= 248;
d[31] &= 127;
d[31] |= 64;
*slen = 64;
sha512_init(&hs);
sha512_process(&hs,d + 32,32);
sha512_process(&hs,m,mlen);
sha512_done(&hs,r);
reduce(r);
scalarbase(p,r);
pack(s,p);
sha512_init(&hs);
sha512_process(&hs,s,32);
sha512_process(&hs,pk,32);
sha512_process(&hs,m,mlen);
sha512_done(&hs,h);
reduce(h);
FOR(i,64) x[i] = 0;
FOR(i,32) x[i] = (u64) r[i];
FOR(i,32) FOR(j,32) x[i+j] += h[i] * (u64) d[j];
modL(s + 32,x);
}
#if DROPBEAR_SIGNKEY_VERIFY
static int unpackneg(gf r[4],const u8 p[32])
{
gf t, chk, num, den, den2, den4, den6;
set25519(r[2],gf1);
unpack25519(r[1],p);
S(num,r[1]);
M(den,num,D);
Z(num,num,r[2]);
A(den,r[2],den);
S(den2,den);
S(den4,den2);
M(den6,den4,den2);
M(t,den6,num);
M(t,t,den);
pow2523(t,t);
M(t,t,num);
M(t,t,den);
M(t,t,den);
M(r[0],t,den);
S(chk,r[0]);
M(chk,chk,den);
if (neq25519(chk, num)) M(r[0],r[0],I);
S(chk,r[0]);
M(chk,chk,den);
if (neq25519(chk, num)) return -1;
if (par25519(r[0]) == (p[31]>>7)) Z(r[0],gf0,r[0]);
M(r[3],r[0],r[1]);
return 0;
}
int dropbear_ed25519_verify(const u8 *m,u32 mlen,const u8 *s,u32 slen,const u8 *pk)
{
hash_state hs;
u8 t[32],h[64];
gf p[4],q[4];
if (slen < 64) return -1;
if (unpackneg(q,pk)) return -1;
sha512_init(&hs);
sha512_process(&hs,s,32);
sha512_process(&hs,pk,32);
sha512_process(&hs,m,mlen);
sha512_done(&hs,h);
reduce(h);
scalarmult(p,q,h);
scalarbase(q,s + 32);
add(p,q);
pack(t,p);
if (crypto_verify_32(s, t))
return -1;
return 0;
}
#endif /* DROPBEAR_SIGNKEY_VERIFY */
#endif /* DROPBEAR_ED25519 */
#endif /* DROPBEAR_CURVE25519 || DROPBEAR_ED25519 */