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tweetnacl.c
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tweetnacl.c
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#define VRT_REMOVED (0)
#include "tweetnacl.h"
#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 VRT_REMOVED
extern void randombytes(u8 *,u64);
#endif
static const u8
_0[16],
_9[32] = {9};
static const gf
gf0,
gf1 = {1},
_121665 = {0xDB41,1},
D = {0x78a3, 0x1359, 0x4dca, 0x75eb, 0xd8ab, 0x4141, 0x0a4d, 0x0070, 0xe898, 0x7779, 0x4079, 0x8cc7, 0xfe73, 0x2b6f, 0x6cee, 0x5203},
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},
I = {0xa0b0, 0x4a0e, 0x1b27, 0xc4ee, 0xe478, 0xad2f, 0x1806, 0x2f43, 0xd7a7, 0x3dfb, 0x0099, 0x2b4d, 0xdf0b, 0x4fc1, 0x2480, 0x2b83};
static u32 L32(u32 x,int c) { return (x << c) | ((x&0xffffffff) >> (32 - c)); }
static u32 ld32(const u8 *x)
{
u32 u = x[3];
u = (u<<8)|x[2];
u = (u<<8)|x[1];
return (u<<8)|x[0];
}
static u64 dl64(const u8 *x)
{
u64 i,u=0;
FOR(i,8) u=(u<<8)|x[i];
return u;
}
sv st32(u8 *x,u32 u)
{
int i;
FOR(i,4) { x[i] = u; u >>= 8; }
}
sv ts64(u8 *x,u64 u)
{
int i;
for (i = 7;i >= 0;--i) { x[i] = u; u >>= 8; }
}
static int vn(const u8 *x,const u8 *y,int n)
{
u32 i,d = 0;
FOR(i,n) d |= x[i]^y[i];
return (1 & ((d - 1) >> 8)) - 1;
}
int crypto_verify_16(const u8 *x,const u8 *y)
{
return vn(x,y,16);
}
int crypto_verify_32(const u8 *x,const u8 *y)
{
return vn(x,y,32);
}
sv core(u8 *out,const u8 *in,const u8 *k,const u8 *c,int h)
{
u32 w[16],x[16],y[16],t[4];
int i,j,m;
FOR(i,4) {
x[5*i] = ld32(c+4*i);
x[1+i] = ld32(k+4*i);
x[6+i] = ld32(in+4*i);
x[11+i] = ld32(k+16+4*i);
}
FOR(i,16) y[i] = x[i];
FOR(i,20) {
FOR(j,4) {
FOR(m,4) t[m] = x[(5*j+4*m)%16];
t[1] ^= L32(t[0]+t[3], 7);
t[2] ^= L32(t[1]+t[0], 9);
t[3] ^= L32(t[2]+t[1],13);
t[0] ^= L32(t[3]+t[2],18);
FOR(m,4) w[4*j+(j+m)%4] = t[m];
}
FOR(m,16) x[m] = w[m];
}
if (h) {
FOR(i,16) x[i] += y[i];
FOR(i,4) {
x[5*i] -= ld32(c+4*i);
x[6+i] -= ld32(in+4*i);
}
FOR(i,4) {
st32(out+4*i,x[5*i]);
st32(out+16+4*i,x[6+i]);
}
} else
FOR(i,16) st32(out + 4 * i,x[i] + y[i]);
}
int crypto_core_salsa20(u8 *out,const u8 *in,const u8 *k,const u8 *c)
{
core(out,in,k,c,0);
return 0;
}
int crypto_core_hsalsa20(u8 *out,const u8 *in,const u8 *k,const u8 *c)
{
core(out,in,k,c,1);
return 0;
}
static const u8 sigma[16] = "expand 32-byte k";
int crypto_stream_salsa20_xor(u8 *c,const u8 *m,u64 b,const u8 *n,const u8 *k)
{
u8 z[16],x[64];
u32 u,i;
if (!b) return 0;
FOR(i,16) z[i] = 0;
FOR(i,8) z[i] = n[i];
while (b >= 64) {
crypto_core_salsa20(x,z,k,sigma);
FOR(i,64) c[i] = (m?m[i]:0) ^ x[i];
u = 1;
for (i = 8;i < 16;++i) {
u += (u32) z[i];
z[i] = u;
u >>= 8;
}
b -= 64;
c += 64;
if (m) m += 64;
}
if (b) {
crypto_core_salsa20(x,z,k,sigma);
FOR(i,b) c[i] = (m?m[i]:0) ^ x[i];
}
return 0;
}
int crypto_stream_salsa20(u8 *c,u64 d,const u8 *n,const u8 *k)
{
return crypto_stream_salsa20_xor(c,0,d,n,k);
}
int crypto_stream(u8 *c,u64 d,const u8 *n,const u8 *k)
{
u8 s[32];
crypto_core_hsalsa20(s,n,k,sigma);
return crypto_stream_salsa20(c,d,n+16,s);
}
int crypto_stream_xor(u8 *c,const u8 *m,u64 d,const u8 *n,const u8 *k)
{
u8 s[32];
crypto_core_hsalsa20(s,n,k,sigma);
return crypto_stream_salsa20_xor(c,m,d,n+16,s);
}
sv add1305(u32 *h,const u32 *c)
{
u32 j,u = 0;
FOR(j,17) {
u += h[j] + c[j];
h[j] = u & 255;
u >>= 8;
}
}
static const u32 minusp[17] = {
5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 252
} ;
int crypto_onetimeauth(u8 *out,const u8 *m,u64 n,const u8 *k)
{
u32 s,i,j,u,x[17],r[17],h[17],c[17],g[17];
FOR(j,17) r[j]=h[j]=0;
FOR(j,16) r[j]=k[j];
r[3]&=15;
r[4]&=252;
r[7]&=15;
r[8]&=252;
r[11]&=15;
r[12]&=252;
r[15]&=15;
while (n > 0) {
FOR(j,17) c[j] = 0;
for (j = 0;(j < 16) && (j < n);++j) c[j] = m[j];
c[j] = 1;
m += j; n -= j;
add1305(h,c);
FOR(i,17) {
x[i] = 0;
FOR(j,17) x[i] += h[j] * ((j <= i) ? r[i - j] : 320 * r[i + 17 - j]);
}
FOR(i,17) h[i] = x[i];
u = 0;
FOR(j,16) {
u += h[j];
h[j] = u & 255;
u >>= 8;
}
u += h[16]; h[16] = u & 3;
u = 5 * (u >> 2);
FOR(j,16) {
u += h[j];
h[j] = u & 255;
u >>= 8;
}
u += h[16]; h[16] = u;
}
FOR(j,17) g[j] = h[j];
add1305(h,minusp);
s = -(h[16] >> 7);
FOR(j,17) h[j] ^= s & (g[j] ^ h[j]);
FOR(j,16) c[j] = k[j + 16];
c[16] = 0;
add1305(h,c);
FOR(j,16) out[j] = h[j];
return 0;
}
int crypto_onetimeauth_verify(const u8 *h,const u8 *m,u64 n,const u8 *k)
{
u8 x[16];
crypto_onetimeauth(x,m,n,k);
return crypto_verify_16(h,x);
}
int crypto_secretbox(u8 *c,const u8 *m,u64 d,const u8 *n,const u8 *k)
{
int i;
if (d < 32) return -1;
crypto_stream_xor(c,m,d,n,k);
crypto_onetimeauth(c + 16,c + 32,d - 32,c);
FOR(i,16) c[i] = 0;
return 0;
}
int crypto_secretbox_open(u8 *m,const u8 *c,u64 d,const u8 *n,const u8 *k)
{
int i;
u8 x[32];
if (d < 32) return -1;
crypto_stream(x,32,n,k);
if (crypto_onetimeauth_verify(c + 16,c + 32,d - 32,x) != 0) return -1;
crypto_stream_xor(m,c,d,n,k);
FOR(i,32) m[i] = 0;
return 0;
}
sv set25519(gf r, const gf a)
{
int i;
FOR(i,16) r[i]=a[i];
}
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;
}
}
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);
}
static u8 par25519(const gf a)
{
u8 d[32];
pack25519(d,a);
return d[0]&1;
}
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];
}
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];
}
int crypto_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);
return 0;
}
int crypto_scalarmult_base(u8 *q,const u8 *n)
{
return crypto_scalarmult(q,n,_9);
}
#if VRT_REMOVED
int crypto_box_keypair(u8 *y,u8 *x)
{
randombytes(x,32);
return crypto_scalarmult_base(y,x);
}
#endif
int crypto_box_beforenm(u8 *k,const u8 *y,const u8 *x)
{
u8 s[32];
crypto_scalarmult(s,x,y);
return crypto_core_hsalsa20(k,_0,s,sigma);
}
int crypto_box_afternm(u8 *c,const u8 *m,u64 d,const u8 *n,const u8 *k)
{
return crypto_secretbox(c,m,d,n,k);
}
int crypto_box_open_afternm(u8 *m,const u8 *c,u64 d,const u8 *n,const u8 *k)
{
return crypto_secretbox_open(m,c,d,n,k);
}
int crypto_box(u8 *c,const u8 *m,u64 d,const u8 *n,const u8 *y,const u8 *x)
{
u8 k[32];
crypto_box_beforenm(k,y,x);
return crypto_box_afternm(c,m,d,n,k);
}
int crypto_box_open(u8 *m,const u8 *c,u64 d,const u8 *n,const u8 *y,const u8 *x)
{
u8 k[32];
crypto_box_beforenm(k,y,x);
return crypto_box_open_afternm(m,c,d,n,k);
}
static u64 R(u64 x,int c) { return (x >> c) | (x << (64 - c)); }
static u64 Ch(u64 x,u64 y,u64 z) { return (x & y) ^ (~x & z); }
static u64 Maj(u64 x,u64 y,u64 z) { return (x & y) ^ (x & z) ^ (y & z); }
static u64 Sigma0(u64 x) { return R(x,28) ^ R(x,34) ^ R(x,39); }
static u64 Sigma1(u64 x) { return R(x,14) ^ R(x,18) ^ R(x,41); }
static u64 sigma0(u64 x) { return R(x, 1) ^ R(x, 8) ^ (x >> 7); }
static u64 sigma1(u64 x) { return R(x,19) ^ R(x,61) ^ (x >> 6); }
static const u64 K[80] =
{
0x428a2f98d728ae22ULL, 0x7137449123ef65cdULL, 0xb5c0fbcfec4d3b2fULL, 0xe9b5dba58189dbbcULL,
0x3956c25bf348b538ULL, 0x59f111f1b605d019ULL, 0x923f82a4af194f9bULL, 0xab1c5ed5da6d8118ULL,
0xd807aa98a3030242ULL, 0x12835b0145706fbeULL, 0x243185be4ee4b28cULL, 0x550c7dc3d5ffb4e2ULL,
0x72be5d74f27b896fULL, 0x80deb1fe3b1696b1ULL, 0x9bdc06a725c71235ULL, 0xc19bf174cf692694ULL,
0xe49b69c19ef14ad2ULL, 0xefbe4786384f25e3ULL, 0x0fc19dc68b8cd5b5ULL, 0x240ca1cc77ac9c65ULL,
0x2de92c6f592b0275ULL, 0x4a7484aa6ea6e483ULL, 0x5cb0a9dcbd41fbd4ULL, 0x76f988da831153b5ULL,
0x983e5152ee66dfabULL, 0xa831c66d2db43210ULL, 0xb00327c898fb213fULL, 0xbf597fc7beef0ee4ULL,
0xc6e00bf33da88fc2ULL, 0xd5a79147930aa725ULL, 0x06ca6351e003826fULL, 0x142929670a0e6e70ULL,
0x27b70a8546d22ffcULL, 0x2e1b21385c26c926ULL, 0x4d2c6dfc5ac42aedULL, 0x53380d139d95b3dfULL,
0x650a73548baf63deULL, 0x766a0abb3c77b2a8ULL, 0x81c2c92e47edaee6ULL, 0x92722c851482353bULL,
0xa2bfe8a14cf10364ULL, 0xa81a664bbc423001ULL, 0xc24b8b70d0f89791ULL, 0xc76c51a30654be30ULL,
0xd192e819d6ef5218ULL, 0xd69906245565a910ULL, 0xf40e35855771202aULL, 0x106aa07032bbd1b8ULL,
0x19a4c116b8d2d0c8ULL, 0x1e376c085141ab53ULL, 0x2748774cdf8eeb99ULL, 0x34b0bcb5e19b48a8ULL,
0x391c0cb3c5c95a63ULL, 0x4ed8aa4ae3418acbULL, 0x5b9cca4f7763e373ULL, 0x682e6ff3d6b2b8a3ULL,
0x748f82ee5defb2fcULL, 0x78a5636f43172f60ULL, 0x84c87814a1f0ab72ULL, 0x8cc702081a6439ecULL,
0x90befffa23631e28ULL, 0xa4506cebde82bde9ULL, 0xbef9a3f7b2c67915ULL, 0xc67178f2e372532bULL,
0xca273eceea26619cULL, 0xd186b8c721c0c207ULL, 0xeada7dd6cde0eb1eULL, 0xf57d4f7fee6ed178ULL,
0x06f067aa72176fbaULL, 0x0a637dc5a2c898a6ULL, 0x113f9804bef90daeULL, 0x1b710b35131c471bULL,
0x28db77f523047d84ULL, 0x32caab7b40c72493ULL, 0x3c9ebe0a15c9bebcULL, 0x431d67c49c100d4cULL,
0x4cc5d4becb3e42b6ULL, 0x597f299cfc657e2aULL, 0x5fcb6fab3ad6faecULL, 0x6c44198c4a475817ULL
};
int crypto_hashblocks(u8 *x,const u8 *m,u64 n)
{
u64 z[8],b[8],a[8],w[16],t;
int i,j;
FOR(i,8) z[i] = a[i] = dl64(x + 8 * i);
while (n >= 128) {
FOR(i,16) w[i] = dl64(m + 8 * i);
FOR(i,80) {
FOR(j,8) b[j] = a[j];
t = a[7] + Sigma1(a[4]) + Ch(a[4],a[5],a[6]) + K[i] + w[i%16];
b[7] = t + Sigma0(a[0]) + Maj(a[0],a[1],a[2]);
b[3] += t;
FOR(j,8) a[(j+1)%8] = b[j];
if (i%16 == 15)
FOR(j,16)
w[j] += w[(j+9)%16] + sigma0(w[(j+1)%16]) + sigma1(w[(j+14)%16]);
}
FOR(i,8) { a[i] += z[i]; z[i] = a[i]; }
m += 128;
n -= 128;
}
FOR(i,8) ts64(x+8*i,z[i]);
return n;
}
static const u8 iv[64] = {
0x6a,0x09,0xe6,0x67,0xf3,0xbc,0xc9,0x08,
0xbb,0x67,0xae,0x85,0x84,0xca,0xa7,0x3b,
0x3c,0x6e,0xf3,0x72,0xfe,0x94,0xf8,0x2b,
0xa5,0x4f,0xf5,0x3a,0x5f,0x1d,0x36,0xf1,
0x51,0x0e,0x52,0x7f,0xad,0xe6,0x82,0xd1,
0x9b,0x05,0x68,0x8c,0x2b,0x3e,0x6c,0x1f,
0x1f,0x83,0xd9,0xab,0xfb,0x41,0xbd,0x6b,
0x5b,0xe0,0xcd,0x19,0x13,0x7e,0x21,0x79
} ;
int crypto_hash(u8 *out,const u8 *m,u64 n)
{
u8 h[64],x[256];
u64 i,b = n;
FOR(i,64) h[i] = iv[i];
crypto_hashblocks(h,m,n);
m += n;
n &= 127;
m -= n;
FOR(i,256) x[i] = 0;
FOR(i,n) x[i] = m[i];
x[n] = 128;
n = 256-128*(n<112);
x[n-9] = b >> 61;
ts64(x+n-8,b<<3);
crypto_hashblocks(h,x,n);
FOR(i,64) out[i] = h[i];
return 0;
}
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);
}
#if VRT_REMOVED
int crypto_sign_keypair(u8 *pk, u8 *sk)
{
u8 d[64];
gf p[4];
int i;
randombytes(sk, 32);
crypto_hash(d, sk, 32);
d[0] &= 248;
d[31] &= 127;
d[31] |= 64;
scalarbase(p,d);
pack(pk,p);
FOR(i,32) sk[32 + i] = pk[i];
return 0;
}
#endif
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);
}
int crypto_sign(u8 *sm,u64 *smlen,const u8 *m,u64 n,const u8 *sk)
{
u8 d[64],h[64],r[64];
i64 i,j,x[64];
gf p[4];
crypto_hash(d, sk, 32);
d[0] &= 248;
d[31] &= 127;
d[31] |= 64;
*smlen = n+64;
FOR(i,n) sm[64 + i] = m[i];
FOR(i,32) sm[32 + i] = d[32 + i];
crypto_hash(r, sm+32, n+32);
reduce(r);
scalarbase(p,r);
pack(sm,p);
FOR(i,32) sm[i+32] = sk[i+32];
crypto_hash(h,sm,n + 64);
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(sm + 32,x);
return 0;
}
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 crypto_sign_open(u8 *m,u64 *mlen,const u8 *sm,u64 n,const u8 *pk)
{
int i;
u8 t[32],h[64];
gf p[4],q[4];
*mlen = -1;
if (n < 64) return -1;
if (unpackneg(q,pk)) return -1;
FOR(i,n) m[i] = sm[i];
FOR(i,32) m[i+32] = pk[i];
crypto_hash(h,m,n);
reduce(h);
scalarmult(p,q,h);
scalarbase(q,sm + 32);
add(p,q);
pack(t,p);
n -= 64;
if (crypto_verify_32(sm, t)) {
FOR(i,n) m[i] = 0;
return -1;
}
FOR(i,n) m[i] = sm[i + 64];
*mlen = n;
return 0;
}