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sshccp.c
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/*
* ChaCha20-Poly1305 Implementation for SSH-2
*
* Protocol spec:
* http://cvsweb.openbsd.org/cgi-bin/cvsweb/src/usr.bin/ssh/PROTOCOL.chacha20poly1305?rev=1.2&content-type=text/x-cvsweb-markup
*
* ChaCha20 spec:
* http://cr.yp.to/chacha/chacha-20080128.pdf
*
* Salsa20 spec:
* http://cr.yp.to/snuffle/spec.pdf
*
* Poly1305-AES spec:
* http://cr.yp.to/mac/poly1305-20050329.pdf
*
* The nonce for the Poly1305 is the second part of the key output
* from the first round of ChaCha20. This removes the AES requirement.
* This is undocumented!
*
* This has an intricate link between the cipher and the MAC. The
* keying of both is done in by the cipher and setting of the IV is
* done by the MAC. One cannot operate without the other. The
* configuration of the ssh2_cipher structure ensures that the MAC is
* set (and others ignored) if this cipher is chosen.
*
* This cipher also encrypts the length using a different
* instantiation of the cipher using a different key and IV made from
* the sequence number which is passed in addition when calling
* encrypt/decrypt on it.
*/
#include "ssh.h"
#include "sshbn.h"
#ifndef INLINE
#define INLINE
#endif
/* ChaCha20 implementation, only supporting 256-bit keys */
/* State for each ChaCha20 instance */
struct chacha20 {
/* Current context, usually with the count incremented
* 0-3 are the static constant
* 4-11 are the key
* 12-13 are the counter
* 14-15 are the IV */
uint32 state[16];
/* The output of the state above ready to xor */
unsigned char current[64];
/* The index of the above currently used to allow a true streaming cipher */
int currentIndex;
};
static INLINE void chacha20_round(struct chacha20 *ctx)
{
int i;
uint32 copy[16];
/* Take a copy */
memcpy(copy, ctx->state, sizeof(copy));
/* A circular rotation for a 32bit number */
#define rotl(x, shift) x = ((x << shift) | (x >> (32 - shift)))
/* What to do for each quarter round operation */
#define qrop(a, b, c, d) \
copy[a] += copy[b]; \
copy[c] ^= copy[a]; \
rotl(copy[c], d)
/* A quarter round */
#define quarter(a, b, c, d) \
qrop(a, b, d, 16); \
qrop(c, d, b, 12); \
qrop(a, b, d, 8); \
qrop(c, d, b, 7)
/* Do 20 rounds, in pairs because every other is different */
for (i = 0; i < 20; i += 2) {
/* A round */
quarter(0, 4, 8, 12);
quarter(1, 5, 9, 13);
quarter(2, 6, 10, 14);
quarter(3, 7, 11, 15);
/* Another slightly different round */
quarter(0, 5, 10, 15);
quarter(1, 6, 11, 12);
quarter(2, 7, 8, 13);
quarter(3, 4, 9, 14);
}
/* Dump the macros, don't need them littering */
#undef rotl
#undef qrop
#undef quarter
/* Add the initial state */
for (i = 0; i < 16; ++i) {
copy[i] += ctx->state[i];
}
/* Update the content of the xor buffer */
for (i = 0; i < 16; ++i) {
ctx->current[i * 4 + 0] = copy[i] >> 0;
ctx->current[i * 4 + 1] = copy[i] >> 8;
ctx->current[i * 4 + 2] = copy[i] >> 16;
ctx->current[i * 4 + 3] = copy[i] >> 24;
}
/* State full, reset pointer to beginning */
ctx->currentIndex = 0;
smemclr(copy, sizeof(copy));
/* Increment round counter */
++ctx->state[12];
/* Check for overflow, not done in one line so the 32 bits are chopped by the type */
if (!(uint32)(ctx->state[12])) {
++ctx->state[13];
}
}
/* Initialise context with 256bit key */
static void chacha20_key(struct chacha20 *ctx, const unsigned char *key)
{
static const char constant[16] = "expand 32-byte k";
/* Add the fixed string to the start of the state */
ctx->state[0] = GET_32BIT_LSB_FIRST(constant + 0);
ctx->state[1] = GET_32BIT_LSB_FIRST(constant + 4);
ctx->state[2] = GET_32BIT_LSB_FIRST(constant + 8);
ctx->state[3] = GET_32BIT_LSB_FIRST(constant + 12);
/* Add the key */
ctx->state[4] = GET_32BIT_LSB_FIRST(key + 0);
ctx->state[5] = GET_32BIT_LSB_FIRST(key + 4);
ctx->state[6] = GET_32BIT_LSB_FIRST(key + 8);
ctx->state[7] = GET_32BIT_LSB_FIRST(key + 12);
ctx->state[8] = GET_32BIT_LSB_FIRST(key + 16);
ctx->state[9] = GET_32BIT_LSB_FIRST(key + 20);
ctx->state[10] = GET_32BIT_LSB_FIRST(key + 24);
ctx->state[11] = GET_32BIT_LSB_FIRST(key + 28);
/* New key, dump context */
ctx->currentIndex = 64;
}
static void chacha20_iv(struct chacha20 *ctx, const unsigned char *iv)
{
ctx->state[12] = 0;
ctx->state[13] = 0;
ctx->state[14] = GET_32BIT_MSB_FIRST(iv);
ctx->state[15] = GET_32BIT_MSB_FIRST(iv + 4);
/* New IV, dump context */
ctx->currentIndex = 64;
}
static void chacha20_encrypt(struct chacha20 *ctx, unsigned char *blk, int len)
{
while (len) {
/* If we don't have any state left, then cycle to the next */
if (ctx->currentIndex >= 64) {
chacha20_round(ctx);
}
/* Do the xor while there's some state left and some plaintext left */
while (ctx->currentIndex < 64 && len) {
*blk++ ^= ctx->current[ctx->currentIndex++];
--len;
}
}
}
/* Decrypt is encrypt... It's xor against a PRNG... */
static INLINE void chacha20_decrypt(struct chacha20 *ctx,
unsigned char *blk, int len)
{
chacha20_encrypt(ctx, blk, len);
}
/* Poly1305 implementation (no AES, nonce is not encrypted) */
#define NWORDS ((130 + BIGNUM_INT_BITS-1) / BIGNUM_INT_BITS)
typedef struct bigval {
BignumInt w[NWORDS];
} bigval;
static void bigval_clear(bigval *r)
{
int i;
for (i = 0; i < NWORDS; i++)
r->w[i] = 0;
}
static void bigval_import_le(bigval *r, const void *vdata, int len)
{
const unsigned char *data = (const unsigned char *)vdata;
int i;
bigval_clear(r);
for (i = 0; i < len; i++)
r->w[i / BIGNUM_INT_BYTES] |=
(BignumInt)data[i] << (8 * (i % BIGNUM_INT_BYTES));
}
static void bigval_export_le(const bigval *r, void *vdata, int len)
{
unsigned char *data = (unsigned char *)vdata;
int i;
for (i = 0; i < len; i++)
data[i] = r->w[i / BIGNUM_INT_BYTES] >> (8 * (i % BIGNUM_INT_BYTES));
}
/*
* Addition of bigvals, not mod p.
*/
static void bigval_add(bigval *r, const bigval *a, const bigval *b)
{
#if BIGNUM_INT_BITS == 64
/* ./contrib/make1305.py add 64 */
BignumDblInt acclo;
acclo = 0;
acclo += a->w[0];
acclo += b->w[0];
r->w[0] = acclo;
acclo >>= 64;
acclo += a->w[1];
acclo += b->w[1];
r->w[1] = acclo;
acclo >>= 64;
acclo += a->w[2];
acclo += b->w[2];
r->w[2] = acclo;
acclo >>= 64;
#elif BIGNUM_INT_BITS == 32
/* ./contrib/make1305.py add 32 */
BignumDblInt acclo;
acclo = 0;
acclo += a->w[0];
acclo += b->w[0];
r->w[0] = acclo;
acclo >>= 32;
acclo += a->w[1];
acclo += b->w[1];
r->w[1] = acclo;
acclo >>= 32;
acclo += a->w[2];
acclo += b->w[2];
r->w[2] = acclo;
acclo >>= 32;
acclo += a->w[3];
acclo += b->w[3];
r->w[3] = acclo;
acclo >>= 32;
acclo += a->w[4];
acclo += b->w[4];
r->w[4] = acclo;
acclo >>= 32;
#elif BIGNUM_INT_BITS == 16
/* ./contrib/make1305.py add 16 */
BignumDblInt acclo;
acclo = 0;
acclo += a->w[0];
acclo += b->w[0];
r->w[0] = acclo;
acclo >>= 16;
acclo += a->w[1];
acclo += b->w[1];
r->w[1] = acclo;
acclo >>= 16;
acclo += a->w[2];
acclo += b->w[2];
r->w[2] = acclo;
acclo >>= 16;
acclo += a->w[3];
acclo += b->w[3];
r->w[3] = acclo;
acclo >>= 16;
acclo += a->w[4];
acclo += b->w[4];
r->w[4] = acclo;
acclo >>= 16;
acclo += a->w[5];
acclo += b->w[5];
r->w[5] = acclo;
acclo >>= 16;
acclo += a->w[6];
acclo += b->w[6];
r->w[6] = acclo;
acclo >>= 16;
acclo += a->w[7];
acclo += b->w[7];
r->w[7] = acclo;
acclo >>= 16;
acclo += a->w[8];
acclo += b->w[8];
r->w[8] = acclo;
acclo >>= 16;
#else
#error Run contrib/make1305.py again with a different bit count
#endif
}
/*
* Multiplication of bigvals mod p. Uses r as temporary storage, so
* don't pass r aliasing a or b.
*/
static void bigval_mul_mod_p(bigval *r, const bigval *a, const bigval *b)
{
#if BIGNUM_INT_BITS == 64
/* ./contrib/make1305.py mul 64 */
BignumDblInt tmp;
BignumDblInt acclo;
BignumDblInt acchi;
BignumDblInt acc2lo;
acclo = 0;
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 64;
r->w[0] = acclo;
acclo = acchi + (acclo >> 64);
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 64;
tmp = (BignumDblInt)(a->w[1]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 64;
r->w[1] = acclo;
acclo = acchi + (acclo >> 64);
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 64;
tmp = (BignumDblInt)(a->w[1]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 64;
tmp = (BignumDblInt)(a->w[2]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 64;
r->w[2] = acclo & (((BignumInt)1 << 2)-1);
acc2lo = 0;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 62)-1)) * ((BignumDblInt)5 << 0);
acclo = acchi + (acclo >> 64);
acchi = 0;
tmp = (BignumDblInt)(a->w[1]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 64;
tmp = (BignumDblInt)(a->w[2]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 64;
acc2lo += (acclo & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 62);
acc2lo += r->w[0];
r->w[0] = acc2lo;
acc2lo >>= 64;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 62)-1)) * ((BignumDblInt)5 << 0);
acclo = acchi + (acclo >> 64);
acchi = 0;
tmp = (BignumDblInt)(a->w[2]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 64;
acc2lo += (acclo & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 62);
acc2lo += r->w[1];
r->w[1] = acc2lo;
acc2lo >>= 64;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 0);
acc2lo += r->w[2];
r->w[2] = acc2lo;
acc2lo = 0;
acc2lo += ((acclo >> 4) & (((BignumInt)1 << 60)-1)) * ((BignumDblInt)25 << 0);
acclo = acchi + (acclo >> 64);
acchi = 0;
acc2lo += (acclo & (((BignumInt)1 << 4)-1)) * ((BignumDblInt)25 << 60);
acc2lo += r->w[0];
r->w[0] = acc2lo;
acc2lo >>= 64;
acc2lo += ((acclo >> 4) & (((BignumInt)1 << 60)-1)) * ((BignumDblInt)25 << 0);
acclo = acchi + (acclo >> 64);
acchi = 0;
acc2lo += r->w[1];
r->w[1] = acc2lo;
acc2lo >>= 64;
acc2lo += r->w[2];
r->w[2] = acc2lo;
acc2lo >>= 64;
#elif BIGNUM_INT_BITS == 32
/* ./contrib/make1305.py mul 32 */
BignumDblInt tmp;
BignumDblInt acclo;
BignumDblInt acchi;
BignumDblInt acc2lo;
acclo = 0;
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
r->w[0] = acclo;
acclo = acchi + (acclo >> 32);
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[1]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
r->w[1] = acclo;
acclo = acchi + (acclo >> 32);
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[1]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[2]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
r->w[2] = acclo;
acclo = acchi + (acclo >> 32);
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[3]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[1]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[2]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[3]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
r->w[3] = acclo;
acclo = acchi + (acclo >> 32);
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[4]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[1]) * (b->w[3]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[2]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[3]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[4]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
r->w[4] = acclo & (((BignumInt)1 << 2)-1);
acc2lo = 0;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 30)-1)) * ((BignumDblInt)5 << 0);
acclo = acchi + (acclo >> 32);
acchi = 0;
tmp = (BignumDblInt)(a->w[1]) * (b->w[4]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[2]) * (b->w[3]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[3]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[4]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
acc2lo += (acclo & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 30);
acc2lo += r->w[0];
r->w[0] = acc2lo;
acc2lo >>= 32;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 30)-1)) * ((BignumDblInt)5 << 0);
acclo = acchi + (acclo >> 32);
acchi = 0;
tmp = (BignumDblInt)(a->w[2]) * (b->w[4]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[3]) * (b->w[3]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[4]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
acc2lo += (acclo & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 30);
acc2lo += r->w[1];
r->w[1] = acc2lo;
acc2lo >>= 32;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 30)-1)) * ((BignumDblInt)5 << 0);
acclo = acchi + (acclo >> 32);
acchi = 0;
tmp = (BignumDblInt)(a->w[3]) * (b->w[4]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
tmp = (BignumDblInt)(a->w[4]) * (b->w[3]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
acc2lo += (acclo & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 30);
acc2lo += r->w[2];
r->w[2] = acc2lo;
acc2lo >>= 32;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 30)-1)) * ((BignumDblInt)5 << 0);
acclo = acchi + (acclo >> 32);
acchi = 0;
tmp = (BignumDblInt)(a->w[4]) * (b->w[4]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 32;
acc2lo += (acclo & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 30);
acc2lo += r->w[3];
r->w[3] = acc2lo;
acc2lo >>= 32;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 0);
acc2lo += r->w[4];
r->w[4] = acc2lo;
acc2lo = 0;
acc2lo += ((acclo >> 4) & (((BignumInt)1 << 28)-1)) * ((BignumDblInt)25 << 0);
acclo = acchi + (acclo >> 32);
acchi = 0;
acc2lo += (acclo & (((BignumInt)1 << 4)-1)) * ((BignumDblInt)25 << 28);
acc2lo += r->w[0];
r->w[0] = acc2lo;
acc2lo >>= 32;
acc2lo += ((acclo >> 4) & (((BignumInt)1 << 28)-1)) * ((BignumDblInt)25 << 0);
acclo = acchi + (acclo >> 32);
acchi = 0;
acc2lo += r->w[1];
r->w[1] = acc2lo;
acc2lo >>= 32;
acc2lo += r->w[2];
r->w[2] = acc2lo;
acc2lo >>= 32;
acc2lo += r->w[3];
r->w[3] = acc2lo;
acc2lo >>= 32;
acc2lo += r->w[4];
r->w[4] = acc2lo;
acc2lo >>= 32;
#elif BIGNUM_INT_BITS == 16
/* ./contrib/make1305.py mul 16 */
BignumDblInt tmp;
BignumDblInt acclo;
BignumDblInt acchi;
BignumDblInt acc2lo;
acclo = 0;
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
r->w[0] = acclo;
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[1]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
r->w[1] = acclo;
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[1]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[2]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
r->w[2] = acclo;
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[3]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[1]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[2]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[3]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
r->w[3] = acclo;
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[4]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[1]) * (b->w[3]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[2]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[3]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[4]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
r->w[4] = acclo;
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[5]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[1]) * (b->w[4]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[2]) * (b->w[3]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[3]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[4]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[5]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
r->w[5] = acclo;
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[6]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[1]) * (b->w[5]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[2]) * (b->w[4]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[3]) * (b->w[3]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[4]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[5]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[6]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
r->w[6] = acclo;
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[7]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[1]) * (b->w[6]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[2]) * (b->w[5]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[3]) * (b->w[4]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[4]) * (b->w[3]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[5]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[6]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[7]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
r->w[7] = acclo;
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[0]) * (b->w[8]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[1]) * (b->w[7]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[2]) * (b->w[6]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[3]) * (b->w[5]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[4]) * (b->w[4]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[5]) * (b->w[3]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[6]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[7]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[8]) * (b->w[0]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
r->w[8] = acclo & (((BignumInt)1 << 2)-1);
acc2lo = 0;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 14)-1)) * ((BignumDblInt)5 << 0);
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[1]) * (b->w[8]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[2]) * (b->w[7]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[3]) * (b->w[6]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[4]) * (b->w[5]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[5]) * (b->w[4]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[6]) * (b->w[3]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[7]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[8]) * (b->w[1]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
acc2lo += (acclo & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 14);
acc2lo += r->w[0];
r->w[0] = acc2lo;
acc2lo >>= 16;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 14)-1)) * ((BignumDblInt)5 << 0);
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[2]) * (b->w[8]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[3]) * (b->w[7]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[4]) * (b->w[6]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[5]) * (b->w[5]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[6]) * (b->w[4]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[7]) * (b->w[3]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[8]) * (b->w[2]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
acc2lo += (acclo & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 14);
acc2lo += r->w[1];
r->w[1] = acc2lo;
acc2lo >>= 16;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 14)-1)) * ((BignumDblInt)5 << 0);
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[3]) * (b->w[8]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[4]) * (b->w[7]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[5]) * (b->w[6]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[6]) * (b->w[5]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[7]) * (b->w[4]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[8]) * (b->w[3]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
acc2lo += (acclo & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 14);
acc2lo += r->w[2];
r->w[2] = acc2lo;
acc2lo >>= 16;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 14)-1)) * ((BignumDblInt)5 << 0);
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[4]) * (b->w[8]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[5]) * (b->w[7]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[6]) * (b->w[6]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[7]) * (b->w[5]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[8]) * (b->w[4]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
acc2lo += (acclo & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 14);
acc2lo += r->w[3];
r->w[3] = acc2lo;
acc2lo >>= 16;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 14)-1)) * ((BignumDblInt)5 << 0);
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[5]) * (b->w[8]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[6]) * (b->w[7]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[7]) * (b->w[6]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[8]) * (b->w[5]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
acc2lo += (acclo & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 14);
acc2lo += r->w[4];
r->w[4] = acc2lo;
acc2lo >>= 16;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 14)-1)) * ((BignumDblInt)5 << 0);
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[6]) * (b->w[8]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[7]) * (b->w[7]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[8]) * (b->w[6]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
acc2lo += (acclo & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 14);
acc2lo += r->w[5];
r->w[5] = acc2lo;
acc2lo >>= 16;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 14)-1)) * ((BignumDblInt)5 << 0);
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[7]) * (b->w[8]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
tmp = (BignumDblInt)(a->w[8]) * (b->w[7]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
acc2lo += (acclo & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 14);
acc2lo += r->w[6];
r->w[6] = acc2lo;
acc2lo >>= 16;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 14)-1)) * ((BignumDblInt)5 << 0);
acclo = acchi + (acclo >> 16);
acchi = 0;
tmp = (BignumDblInt)(a->w[8]) * (b->w[8]);
acclo += tmp & BIGNUM_INT_MASK;
acchi += tmp >> 16;
acc2lo += (acclo & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 14);
acc2lo += r->w[7];
r->w[7] = acc2lo;
acc2lo >>= 16;
acc2lo += ((acclo >> 2) & (((BignumInt)1 << 2)-1)) * ((BignumDblInt)5 << 0);
acc2lo += r->w[8];
r->w[8] = acc2lo;
acc2lo = 0;
acc2lo += ((acclo >> 4) & (((BignumInt)1 << 12)-1)) * ((BignumDblInt)25 << 0);
acclo = acchi + (acclo >> 16);
acchi = 0;
acc2lo += (acclo & (((BignumInt)1 << 4)-1)) * ((BignumDblInt)25 << 12);
acc2lo += r->w[0];
r->w[0] = acc2lo;
acc2lo >>= 16;
acc2lo += ((acclo >> 4) & (((BignumInt)1 << 12)-1)) * ((BignumDblInt)25 << 0);
acclo = acchi + (acclo >> 16);
acchi = 0;
acc2lo += r->w[1];
r->w[1] = acc2lo;
acc2lo >>= 16;
acc2lo += r->w[2];
r->w[2] = acc2lo;
acc2lo >>= 16;
acc2lo += r->w[3];
r->w[3] = acc2lo;
acc2lo >>= 16;
acc2lo += r->w[4];
r->w[4] = acc2lo;
acc2lo >>= 16;
acc2lo += r->w[5];
r->w[5] = acc2lo;
acc2lo >>= 16;
acc2lo += r->w[6];
r->w[6] = acc2lo;
acc2lo >>= 16;
acc2lo += r->w[7];
r->w[7] = acc2lo;
acc2lo >>= 16;
acc2lo += r->w[8];
r->w[8] = acc2lo;
acc2lo >>= 16;
#else
#error Run contrib/make1305.py again with a different bit count
#endif
}
static void bigval_final_reduce(bigval *n)
{
#if BIGNUM_INT_BITS == 64
/* ./contrib/make1305.py final_reduce 64 */
BignumDblInt acclo;
acclo = 0;
acclo += 5 * ((n->w[2] >> 2) + 1);
acclo += n->w[0];
acclo >>= 64;
acclo += n->w[1];
acclo >>= 64;
acclo += n->w[2];
acclo = 5 * (acclo >> 2);
acclo += n->w[0];
n->w[0] = acclo;
acclo >>= 64;
acclo += n->w[1];
n->w[1] = acclo;
acclo >>= 64;
acclo += n->w[2];
n->w[2] = acclo;
acclo >>= 64;
n->w[2] &= (1 << 2) - 1;
#elif BIGNUM_INT_BITS == 32
/* ./contrib/make1305.py final_reduce 32 */
BignumDblInt acclo;
acclo = 0;
acclo += 5 * ((n->w[4] >> 2) + 1);
acclo += n->w[0];
acclo >>= 32;
acclo += n->w[1];
acclo >>= 32;
acclo += n->w[2];
acclo >>= 32;
acclo += n->w[3];
acclo >>= 32;
acclo += n->w[4];
acclo = 5 * (acclo >> 2);
acclo += n->w[0];
n->w[0] = acclo;
acclo >>= 32;
acclo += n->w[1];
n->w[1] = acclo;
acclo >>= 32;
acclo += n->w[2];
n->w[2] = acclo;
acclo >>= 32;
acclo += n->w[3];
n->w[3] = acclo;
acclo >>= 32;
acclo += n->w[4];
n->w[4] = acclo;
acclo >>= 32;
n->w[4] &= (1 << 2) - 1;
#elif BIGNUM_INT_BITS == 16
/* ./contrib/make1305.py final_reduce 16 */
BignumDblInt acclo;
acclo = 0;
acclo += 5 * ((n->w[8] >> 2) + 1);
acclo += n->w[0];
acclo >>= 16;
acclo += n->w[1];
acclo >>= 16;
acclo += n->w[2];
acclo >>= 16;
acclo += n->w[3];
acclo >>= 16;
acclo += n->w[4];
acclo >>= 16;
acclo += n->w[5];
acclo >>= 16;
acclo += n->w[6];
acclo >>= 16;
acclo += n->w[7];
acclo >>= 16;
acclo += n->w[8];
acclo = 5 * (acclo >> 2);
acclo += n->w[0];
n->w[0] = acclo;
acclo >>= 16;
acclo += n->w[1];
n->w[1] = acclo;
acclo >>= 16;
acclo += n->w[2];
n->w[2] = acclo;
acclo >>= 16;
acclo += n->w[3];
n->w[3] = acclo;