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Make stronger crypto nearly as fast

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One of the disadvantages of x25519 and ℘256 is it only provides 126 bits
of security, so that seems like a weak link in the chain, if we're using
ECDHE-ECDSA-AES256-GCM-SHA384. The U.S. government wants classified data
to be encrypted using a curve at least as strong as ℘384, which provides
192 bits of security, but if you read the consensus of stack exchange it
would give you the impression that ℘384 is three times slower.

This change (as well as the previous one) makes ℘384 three times as fast
by tuning its modulus and multiplication subroutines with new tests that
should convincingly show: the optimized code behaves the same way as the
old code. Some of the diff noise from the previous change is now removed
too, so that our vendored fork can be more easily compared with upstream
sources. So you can now have stronger cryptography without compromises.

℘384 modulus Justine                        l:         28𝑐          9𝑛𝑠
℘384 modulus MbedTLS NIST                   l:        127𝑐         41𝑛𝑠
℘384 modulus MbedTLS MPI                    l:      1,850𝑐        597𝑛𝑠

The benchmarks above show the improvements made by secp384r1() which is
an important function since it needs to be called 13,000 times whenever
someone establishes a connection to your web server. The same's true of
Mul6x6Adx() which is able to multiply 384-bit numbers in 73 cycles, but
only if your CPU was purchased after 2014 when Broadwell was introduced
This commit is contained in:
Justine Tunney 2021-07-26 15:16:43 -07:00
parent 398f0c16fb
commit ea83cc0ad0
27 changed files with 4291 additions and 3361 deletions
Download patch file Download diff file Expand all files Collapse all files

145
third_party/mbedtls/ecp256.c vendored
View file

@ -38,32 +38,15 @@ mbedtls_p256_isz( uint64_t p[4] )
static inline bool
mbedtls_p256_gte( uint64_t p[5] )
{
return( (p[4] ||
p[3] > 0xffffffff00000001 ||
(p[3] == 0xffffffff00000001 &&
p[2] > 0x0000000000000000 ||
(p[2] == 0x0000000000000000 &&
p[1] > 0x00000000ffffffff ||
(p[1] == 0x00000000ffffffff &&
p[0] > 0xffffffffffffffff ||
(p[0] == 0xffffffffffffffff))))) );
}
static int
mbedtls_p256_cmp( const uint64_t a[5],
const uint64_t b[5] )
{
if( a[4] < b[4] ) return -1;
if( a[4] > b[4] ) return 1;
if( a[3] < b[3] ) return -1;
if( a[3] > b[3] ) return 1;
if( a[2] < b[2] ) return -1;
if( a[2] > b[2] ) return 1;
if( a[1] < b[1] ) return -1;
if( a[1] > b[1] ) return 1;
if( a[0] < b[0] ) return -1;
if( a[0] > b[0] ) return 1;
return 0;
return( ((int64_t)p[4] > 0 ||
(p[3] > 0xffffffff00000001 ||
(p[3] == 0xffffffff00000001 &&
(p[2] > 0x0000000000000000 ||
(p[2] == 0x0000000000000000 &&
(p[1] > 0x00000000ffffffff ||
(p[1] == 0x00000000ffffffff &&
(p[0] > 0xffffffffffffffff ||
(p[0] == 0xffffffffffffffff))))))))) );
}
static inline void
@ -119,125 +102,49 @@ mbedtls_p256_rum( uint64_t p[5] )
mbedtls_p256_red( p );
}
static void
mbedtls_p256_mod(uint64_t X[8])
{
secp256r1(X);
if ((int64_t)X[4] < 0) {
do {
mbedtls_p256_gro(X);
} while ((int64_t)X[4] < 0);
} else {
while (mbedtls_p256_gte(X)) {
mbedtls_p256_red(X);
}
}
}
static inline void
mbedtls_p256_sar( uint64_t p[5] )
{
#if defined(__x86_64__) && !defined(__STRICT_ANSI__)
asm("sarq\t32+%0\n\t"
"rcrq\t24+%0\n\t"
"rcrq\t16+%0\n\t"
"rcrq\t8+%0\n\t"
"rcrq\t%0\n\t"
: "+o"(*p)
: /* no inputs */
: "memory", "cc");
#else
p[0] = p[0] >> 1 | p[1] << 63;
p[1] = p[1] >> 1 | p[2] << 63;
p[2] = p[2] >> 1 | p[3] << 63;
p[3] = p[3] >> 1 | p[4] << 63;
p[4] = (int64_t)p[4] >> 1;
#endif
}
static inline void
mbedtls_p256_shl( uint64_t p[5] )
{
#if defined(__x86_64__) && !defined(__STRICT_ANSI__)
asm("shlq\t%0\n\t"
"rclq\t8+%0\n\t"
"rclq\t16+%0\n\t"
"rclq\t24+%0\n\t"
"rclq\t32+%0\n\t"
: "+o"(*p)
: /* no inputs */
: "memory", "cc");
#else
p[4] = p[3] >> 63;
p[3] = p[3] << 1 | p[2] >> 63;
p[2] = p[2] << 1 | p[1] >> 63;
p[1] = p[1] << 1 | p[0] >> 63;
p[0] = p[0] << 1;
#endif
mbedtls_p256_rum( p );
}
static inline void
mbedtls_p256_jam( uint64_t p[5] )
{
secp256r1( p );
if( (int64_t)p[4] < 0 )
do
mbedtls_p256_gro( p );
while( (int64_t)p[4] < 0 );
else
mbedtls_p256_rum( p );
}
static void
mbedtls_p256_mul_1x1( uint64_t X[8],
const uint64_t A[4], size_t n,
const uint64_t B[4], size_t m )
{
uint128_t t;
t = A[0];
t *= B[0];
X[ 0] = t;
X[ 1] = t >> 64;
X[ 2] = 0;
X[ 3] = 0;
X[ 4] = 0;
X[ 5] = 0;
X[ 6] = 0;
X[ 7] = 0;
}
static void
mbedtls_p256_mul_nx1( uint64_t X[8],
const uint64_t A[4], size_t n,
const uint64_t B[4], size_t m )
{
mbedtls_mpi_mul_hlp1(n, A, X, B[0]);
mbedtls_platform_zeroize( X + n + m, ( 8 - n - m ) * 8 );
if ( n + m >= 4 )
mbedtls_p256_jam( X );
}
static void
mbedtls_p256_mul_4x4( uint64_t X[8],
const uint64_t A[4], size_t n,
const uint64_t B[4], size_t m )
{
Mul4x4( X, A, B );
mbedtls_p256_jam( X );
}
static void
mbedtls_p256_mul_nxm( uint64_t X[8],
const uint64_t A[4], size_t n,
const uint64_t B[4], size_t m )
{
if (A == X) A = gc(memcpy(malloc(4 * 8), A, 4 * 8));
if (B == X) B = gc(memcpy(malloc(4 * 8), B, 4 * 8));
Mul( X, A, n, B, m );
mbedtls_platform_zeroize( X + n + m, (8 - n - m) * 8 );
if ( n + m >= 4 )
mbedtls_p256_jam( X );
}
static void
mbedtls_p256_mul( uint64_t X[8],
const uint64_t A[4], size_t n,
const uint64_t B[4], size_t m )
{
if( n == 4 && m == 4 )
mbedtls_p256_mul_4x4( X, A, n, B, m );
else if( m == 1 && n == 1 )
mbedtls_p256_mul_1x1( X, A, n, B, m );
else if( m == 1 )
mbedtls_p256_mul_nx1( X, A, n, B, m );
else
mbedtls_p256_mul_nxm( X, A, n, B, m );
Mul4x4( X, A, B );
mbedtls_p256_mod( X );
}
static void