mirror of
https://github.com/jart/cosmopolitan.git
synced 2025-02-12 09:17:53 +00:00
6f7d0cb1c3
This makes breaking changes to add underscores to many non-standard function names provided by the c library. MODE=tiny is now tinier and we now use smaller locks that are better for tiny apps in this mode. Some headers have been renamed to be in the same folder as the build package, so it'll be easier to know which build dependency is needed. Certain old misguided interfaces have been removed. Intel intrinsics headers are now listed in libc/isystem (but not in the amalgamation) to help further improve open source compatibility. Header complexity has also been reduced. Lastly, more shell scripts are now available.
564 lines
18 KiB
C
564 lines
18 KiB
C
/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:4;tab-width:4;coding:utf-8 -*-│
|
|
│vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi│
|
|
╞══════════════════════════════════════════════════════════════════════════════╡
|
|
│ Copyright 2021 Justine Alexandra Roberts Tunney │
|
|
│ │
|
|
│ Permission to use, copy, modify, and/or distribute this software for │
|
|
│ any purpose with or without fee is hereby granted, provided that the │
|
|
│ above copyright notice and this permission notice appear in all copies. │
|
|
│ │
|
|
│ THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL │
|
|
│ WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED │
|
|
│ WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE │
|
|
│ AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL │
|
|
│ DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR │
|
|
│ PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER │
|
|
│ TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR │
|
|
│ PERFORMANCE OF THIS SOFTWARE. │
|
|
╚─────────────────────────────────────────────────────────────────────────────*/
|
|
#include "libc/assert.h"
|
|
#include "libc/log/check.h"
|
|
#include "libc/nexgen32e/x86feature.h"
|
|
#include "libc/mem/gc.internal.h"
|
|
#include "libc/runtime/runtime.h"
|
|
#include "libc/str/str.h"
|
|
#include "third_party/mbedtls/bignum_internal.h"
|
|
#include "third_party/mbedtls/ecp.h"
|
|
#include "third_party/mbedtls/ecp_internal.h"
|
|
#include "third_party/mbedtls/error.h"
|
|
#include "third_party/mbedtls/math.h"
|
|
#include "third_party/mbedtls/profile.h"
|
|
#include "third_party/mbedtls/select.h"
|
|
/* clang-format off */
|
|
|
|
static bool
|
|
mbedtls_p256_isz( uint64_t p[4] )
|
|
{
|
|
return( !p[0] & !p[1] & !p[2] & !p[3] );
|
|
}
|
|
|
|
static bool
|
|
mbedtls_p256_gte( uint64_t p[5] )
|
|
{
|
|
return( (((int64_t)p[4] > 0) |
|
|
(!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] )
|
|
{
|
|
int i, x, y, done = 0;
|
|
// return -1 if a[4] < b[4]
|
|
x = -((int64_t)a[4] < (int64_t)b[4]);
|
|
done = x;
|
|
// return +1 if a[4] > b[4]
|
|
y = (int64_t)a[4] > (int64_t)b[4];
|
|
x = Select(x, y, done);
|
|
done |= -y;
|
|
for (i = 4; i--;) {
|
|
y = -(a[i] < b[i]);
|
|
x = Select(x, y, done);
|
|
done |= y;
|
|
y = a[i] > b[i];
|
|
x = Select(x, y, done);
|
|
done |= -y;
|
|
}
|
|
return x;
|
|
}
|
|
|
|
static void
|
|
mbedtls_p256_red( uint64_t p[5] )
|
|
{
|
|
#if defined(__x86_64__) && !defined(__STRICT_ANSI__)
|
|
asm("subq\t%1,%0\n\t"
|
|
"sbbq\t%2,8+%0\n\t"
|
|
"sbbq\t%3,16+%0\n\t"
|
|
"sbbq\t%4,24+%0\n\t"
|
|
"sbbq\t$0,32+%0"
|
|
: "+o"(*p)
|
|
: "i"(0xffffffffffffffffl), "r"(0x00000000ffffffffl),
|
|
"i"(0x0000000000000000l), "r"(0xffffffff00000001l)
|
|
: "memory", "cc");
|
|
#else
|
|
uint64_t c;
|
|
SBB( p[0], p[0], 0xffffffffffffffff, 0, c );
|
|
SBB( p[1], p[1], 0x00000000ffffffff, c, c );
|
|
SBB( p[2], p[2], 0x0000000000000000, c, c );
|
|
SBB( p[3], p[3], 0xffffffff00000001, c, c );
|
|
SBB( p[4], p[4], 0, c, c );
|
|
#endif
|
|
}
|
|
|
|
static void
|
|
mbedtls_p256_gro( uint64_t p[5] )
|
|
{
|
|
#if defined(__x86_64__) && !defined(__STRICT_ANSI__)
|
|
asm("addq\t%1,%0\n\t"
|
|
"adcq\t%2,8+%0\n\t"
|
|
"adcq\t%3,16+%0\n\t"
|
|
"adcq\t%4,24+%0\n\t"
|
|
"adcq\t$0,32+%0"
|
|
: "+o"(*p)
|
|
: "i"(0xffffffffffffffffl), "r"(0x00000000ffffffffl),
|
|
"i"(0x0000000000000000l), "r"(0xffffffff00000001l)
|
|
: "memory", "cc");
|
|
#else
|
|
uint64_t c;
|
|
ADC( p[0], p[0], 0xffffffffffffffff, 0, c );
|
|
ADC( p[1], p[1], 0x00000000ffffffff, c, c );
|
|
ADC( p[2], p[2], 0x0000000000000000, c, c );
|
|
ADC( p[3], p[3], 0xffffffff00000001, c, c );
|
|
ADC( p[4], p[4], 0, c, c );
|
|
#endif
|
|
}
|
|
|
|
static void
|
|
mbedtls_p256_rum( uint64_t p[5] )
|
|
{
|
|
while( mbedtls_p256_gte( p ) )
|
|
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 void
|
|
mbedtls_p256_sar( uint64_t p[5] )
|
|
{
|
|
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;
|
|
}
|
|
|
|
static void
|
|
mbedtls_p256_shl( uint64_t p[5] )
|
|
{
|
|
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;
|
|
mbedtls_p256_rum( p );
|
|
}
|
|
|
|
static inline void
|
|
mbedtls_p256_mul( 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_mod( X );
|
|
}
|
|
|
|
static void
|
|
mbedtls_p256_plu( uint64_t A[5],
|
|
const uint64_t B[5] )
|
|
{
|
|
#if defined(__x86_64__) && !defined(__STRICT_ANSI__)
|
|
asm("mov\t%1,%%rax\n\t"
|
|
"add\t%%rax,%0\n\t"
|
|
"mov\t8+%1,%%rax\n\t"
|
|
"adc\t%%rax,8+%0\n\t"
|
|
"mov\t16+%1,%%rax\n\t"
|
|
"adc\t%%rax,16+%0\n\t"
|
|
"mov\t24+%1,%%rax\n\t"
|
|
"adc\t%%rax,24+%0\n\t"
|
|
"mov\t32+%1,%%rax\n\t"
|
|
"adc\t%%rax,32+%0"
|
|
: /* no outputs */
|
|
: "o"(*A), "o"(*B)
|
|
: "rax", "memory", "cc");
|
|
#else
|
|
uint64_t c;
|
|
ADC( A[0], A[0], B[0], 0, c );
|
|
ADC( A[1], A[1], B[1], c, c );
|
|
ADC( A[2], A[2], B[2], c, c );
|
|
ADC( A[3], A[3], B[3], c, c );
|
|
ADC( A[4], A[4], B[4], c, c );
|
|
#endif
|
|
}
|
|
|
|
static void
|
|
mbedtls_p256_slu( uint64_t A[5],
|
|
const uint64_t B[5] )
|
|
{
|
|
#if defined(__x86_64__) && !defined(__STRICT_ANSI__)
|
|
asm("mov\t%1,%%rax\n\t"
|
|
"sub\t%%rax,%0\n\t"
|
|
"mov\t8+%1,%%rax\n\t"
|
|
"sbb\t%%rax,8+%0\n\t"
|
|
"mov\t16+%1,%%rax\n\t"
|
|
"sbb\t%%rax,16+%0\n\t"
|
|
"mov\t24+%1,%%rax\n\t"
|
|
"sbb\t%%rax,24+%0\n\t"
|
|
"mov\t32+%1,%%rax\n\t"
|
|
"sbb\t%%rax,32+%0"
|
|
: /* no outputs */
|
|
: "o"(*A), "o"(*B)
|
|
: "rax", "memory", "cc");
|
|
#else
|
|
uint64_t c;
|
|
SBB( A[0], A[0], B[0], 0, c );
|
|
SBB( A[1], A[1], B[1], c, c );
|
|
SBB( A[2], A[2], B[2], c, c );
|
|
SBB( A[3], A[3], B[3], c, c );
|
|
SBB( A[4], A[4], B[4], c, c );
|
|
#endif
|
|
}
|
|
|
|
static void
|
|
mbedtls_p256_add( uint64_t X[5],
|
|
const uint64_t A[4],
|
|
const uint64_t B[4] )
|
|
{
|
|
#if defined(__x86_64__) && !defined(__STRICT_ANSI__)
|
|
asm("xor\t%%rcx,%%rcx\n\t"
|
|
"mov\t%1,%%rax\n\t"
|
|
"add\t%2,%%rax\n\t"
|
|
"mov\t%%rax,%0\n\t"
|
|
"mov\t8+%1,%%rax\n\t"
|
|
"adc\t8+%2,%%rax\n\t"
|
|
"mov\t%%rax,8+%0\n\t"
|
|
"mov\t16+%1,%%rax\n\t"
|
|
"adc\t16+%2,%%rax\n\t"
|
|
"mov\t%%rax,16+%0\n\t"
|
|
"mov\t24+%1,%%rax\n\t"
|
|
"adc\t24+%2,%%rax\n\t"
|
|
"mov\t%%rax,24+%0\n\t"
|
|
"adc\t$0,%%rcx\n\t"
|
|
"mov\t%%rcx,32+%0"
|
|
: "+o"(*X)
|
|
: "o"(*A), "o"(*B)
|
|
: "rax", "rcx", "memory", "cc");
|
|
#else
|
|
uint64_t c;
|
|
ADC( X[0], A[0], B[0], 0, c );
|
|
ADC( X[1], A[1], B[1], c, c );
|
|
ADC( X[2], A[2], B[2], c, c );
|
|
ADC( X[3], A[3], B[3], c, X[4] );
|
|
#endif
|
|
mbedtls_p256_rum( X );
|
|
DCHECK_EQ( 0, X[4] );
|
|
}
|
|
|
|
static void
|
|
mbedtls_p256_sub( uint64_t X[5],
|
|
const uint64_t A[4],
|
|
const uint64_t B[4] )
|
|
{
|
|
#if defined(__x86_64__) && !defined(__STRICT_ANSI__)
|
|
asm("xor\t%%rcx,%%rcx\n\t"
|
|
"mov\t%1,%%rax\n\t"
|
|
"sub\t%2,%%rax\n\t"
|
|
"mov\t%%rax,%0\n\t"
|
|
"mov\t8+%1,%%rax\n\t"
|
|
"sbb\t8+%2,%%rax\n\t"
|
|
"mov\t%%rax,8+%0\n\t"
|
|
"mov\t16+%1,%%rax\n\t"
|
|
"sbb\t16+%2,%%rax\n\t"
|
|
"mov\t%%rax,16+%0\n\t"
|
|
"mov\t24+%1,%%rax\n\t"
|
|
"sbb\t24+%2,%%rax\n\t"
|
|
"mov\t%%rax,24+%0\n\t"
|
|
"sbb\t$0,%%rcx\n\t"
|
|
"mov\t%%rcx,32+%0"
|
|
: "+o"(*X)
|
|
: "o"(*A), "o"(*B)
|
|
: "rax", "rcx", "memory", "cc");
|
|
#else
|
|
uint64_t c;
|
|
SBB( X[0], A[0], B[0], 0, c );
|
|
SBB( X[1], A[1], B[1], c, c );
|
|
SBB( X[2], A[2], B[2], c, c );
|
|
SBB( X[3], A[3], B[3], c, c );
|
|
X[4] = -c;
|
|
#endif
|
|
while( (int64_t)X[4] < 0 )
|
|
mbedtls_p256_gro( X );
|
|
DCHECK_EQ( 0, X[4] );
|
|
}
|
|
|
|
static void
|
|
mbedtls_p256_hub( uint64_t A[5],
|
|
const uint64_t B[4] )
|
|
{
|
|
#if defined(__x86_64__) && !defined(__STRICT_ANSI__)
|
|
asm("xor\t%%rcx,%%rcx\n\t"
|
|
"mov\t%1,%%rax\n\t"
|
|
"sub\t%%rax,%0\n\t"
|
|
"mov\t8+%1,%%rax\n\t"
|
|
"sbb\t%%rax,8+%0\n\t"
|
|
"mov\t16+%1,%%rax\n\t"
|
|
"sbb\t%%rax,16+%0\n\t"
|
|
"mov\t24+%1,%%rax\n\t"
|
|
"sbb\t%%rax,24+%0\n\t"
|
|
"sbb\t$0,%%rcx\n\t"
|
|
"mov\t%%rcx,32+%0"
|
|
: "+o"(*A)
|
|
: "o"(*B)
|
|
: "rax", "rcx", "memory", "cc");
|
|
while( (int64_t)A[4] < 0 )
|
|
mbedtls_p256_gro( A );
|
|
DCHECK_EQ( 0, A[4] );
|
|
#else
|
|
mbedtls_p256_sub( A, A, B );
|
|
#endif
|
|
}
|
|
|
|
static inline void
|
|
mbedtls_p256_cop( uint64_t X[4],
|
|
const uint64_t Y[4] )
|
|
{
|
|
memcpy( X, Y, 4 * 8 );
|
|
}
|
|
|
|
static int
|
|
mbedtls_p256_dim( mbedtls_ecp_point *R )
|
|
{
|
|
int ret;
|
|
if( R->X.n < 4 && ( ret = mbedtls_mpi_grow( &R->X, 4 ) ) ) return ret;
|
|
if( R->Y.n < 4 && ( ret = mbedtls_mpi_grow( &R->Y, 4 ) ) ) return ret;
|
|
if( R->Z.n < 4 && ( ret = mbedtls_mpi_grow( &R->Z, 4 ) ) ) return ret;
|
|
return 0;
|
|
}
|
|
|
|
int mbedtls_p256_double_jac( const mbedtls_ecp_group *G,
|
|
const mbedtls_ecp_point *P,
|
|
mbedtls_ecp_point *R )
|
|
{
|
|
int ret;
|
|
struct {
|
|
uint64_t X[4], Y[4], Z[4];
|
|
uint64_t M[8], S[8], T[8], U[8];
|
|
size_t Xn, Yn, Zn;
|
|
} s;
|
|
MBEDTLS_ASSERT( G->A.p == 0 );
|
|
MBEDTLS_ASSERT( P->X.s == 1 );
|
|
MBEDTLS_ASSERT( P->Y.s == 1 );
|
|
MBEDTLS_ASSERT( P->Z.s == 1 );
|
|
MBEDTLS_ASSERT( G->P.p[0] == 0xffffffffffffffff );
|
|
MBEDTLS_ASSERT( G->P.p[1] == 0x00000000ffffffff );
|
|
MBEDTLS_ASSERT( G->P.p[2] == 0x0000000000000000 );
|
|
MBEDTLS_ASSERT( G->P.p[3] == 0xffffffff00000001 );
|
|
if ( ( ret = mbedtls_p256_dim( R ) ) ) return ret;
|
|
mbedtls_platform_zeroize(&s, sizeof(s));
|
|
s.Xn = mbedtls_mpi_limbs( &P->X );
|
|
s.Yn = mbedtls_mpi_limbs( &P->Y );
|
|
s.Zn = mbedtls_mpi_limbs( &P->Z );
|
|
CHECK_LE( s.Xn, 4 );
|
|
CHECK_LE( s.Yn, 4 );
|
|
CHECK_LE( s.Zn, 4 );
|
|
memcpy( s.X, P->X.p, s.Xn * 8 );
|
|
memcpy( s.Y, P->Y.p, s.Yn * 8 );
|
|
memcpy( s.Z, P->Z.p, s.Zn * 8 );
|
|
mbedtls_p256_mul( s.S, s.Z, s.Zn, s.Z, s.Zn );
|
|
mbedtls_p256_add( s.T, s.X, s.S );
|
|
mbedtls_p256_sub( s.U, s.X, s.S );
|
|
mbedtls_p256_mul( s.S, s.T, 4, s.U, 4 );
|
|
mbedtls_mpi_mul_hlp1( 4, s.S, s.M, 3 );
|
|
mbedtls_p256_rum( s.M );
|
|
mbedtls_p256_mul( s.T, s.Y, s.Yn, s.Y, s.Yn );
|
|
mbedtls_p256_shl( s.T );
|
|
mbedtls_p256_mul( s.S, s.X, s.Xn, s.T, 4 );
|
|
mbedtls_p256_shl( s.S );
|
|
mbedtls_p256_mul( s.U, s.T, 4, s.T, 4 );
|
|
mbedtls_p256_shl( s.U );
|
|
mbedtls_p256_mul( s.T, s.M, 4, s.M, 4 );
|
|
mbedtls_p256_hub( s.T, s.S );
|
|
mbedtls_p256_hub( s.T, s.S );
|
|
mbedtls_p256_hub( s.S, s.T );
|
|
mbedtls_p256_mul( s.S, s.S, 4, s.M, 4 );
|
|
mbedtls_p256_hub( s.S, s.U );
|
|
mbedtls_p256_mul( s.U, s.Y, s.Yn, s.Z, s.Zn );
|
|
mbedtls_p256_shl( s.U );
|
|
mbedtls_p256_cop( R->X.p, s.T );
|
|
mbedtls_p256_cop( R->Y.p, s.S );
|
|
mbedtls_p256_cop( R->Z.p, s.U );
|
|
mbedtls_platform_zeroize( &s, sizeof(s) );
|
|
return 0;
|
|
}
|
|
|
|
int mbedtls_p256_add_mixed( const mbedtls_ecp_group *G,
|
|
const mbedtls_ecp_point *P,
|
|
const mbedtls_ecp_point *Q,
|
|
mbedtls_ecp_point *R )
|
|
{
|
|
int ret;
|
|
struct {
|
|
uint64_t X[8], Y[8], Z[8];
|
|
uint64_t T1[8], T2[8], T3[8], T4[8];
|
|
size_t Xn, Yn, Zn, QXn, QYn;
|
|
} s;
|
|
MBEDTLS_ASSERT( P->X.s == 1 );
|
|
MBEDTLS_ASSERT( P->Y.s == 1 );
|
|
MBEDTLS_ASSERT( P->Z.s == 1 );
|
|
MBEDTLS_ASSERT( Q->X.s == 1 );
|
|
MBEDTLS_ASSERT( Q->Y.s == 1 );
|
|
if ( ( ret = mbedtls_p256_dim( R ) ) ) return ret;
|
|
mbedtls_platform_zeroize(&s, sizeof(s));
|
|
s.Xn = mbedtls_mpi_limbs( &P->X );
|
|
s.Yn = mbedtls_mpi_limbs( &P->Y );
|
|
s.Zn = mbedtls_mpi_limbs( &P->Z );
|
|
s.QXn = mbedtls_mpi_limbs( &Q->X );
|
|
s.QYn = mbedtls_mpi_limbs( &Q->Y );
|
|
CHECK_LE( s.Xn, 4 );
|
|
CHECK_LE( s.Yn, 4 );
|
|
CHECK_LE( s.Zn, 4 );
|
|
CHECK_LE( s.QXn, 4 );
|
|
CHECK_LE( s.QYn, 4 );
|
|
memcpy( s.X, P->X.p, s.Xn * 8 );
|
|
memcpy( s.Y, P->Y.p, s.Yn * 8 );
|
|
memcpy( s.Z, P->Z.p, s.Zn * 8 );
|
|
mbedtls_p256_mul( s.T1, s.Z, s.Zn, s.Z, s.Zn );
|
|
mbedtls_p256_mul( s.T2, s.T1, 4, s.Z, s.Zn );
|
|
mbedtls_p256_mul( s.T1, s.T1, 4, Q->X.p, s.QXn );
|
|
mbedtls_p256_mul( s.T2, s.T2, 4, Q->Y.p, s.QYn );
|
|
mbedtls_p256_hub( s.T1, s.X );
|
|
mbedtls_p256_hub( s.T2, s.Y );
|
|
if( mbedtls_p256_isz( s.T1 ) )
|
|
{
|
|
if( mbedtls_p256_isz( s.T2 ) )
|
|
return mbedtls_p256_double_jac( G, P, R );
|
|
else
|
|
return mbedtls_ecp_set_zero( R );
|
|
}
|
|
mbedtls_p256_mul( s.Z, s.Z, s.Zn, s.T1, 4 );
|
|
mbedtls_p256_mul( s.T3, s.T1, 4, s.T1, 4 );
|
|
mbedtls_p256_mul( s.T4, s.T3, 4, s.T1, 4 );
|
|
mbedtls_p256_mul( s.T3, s.T3, 4, s.X, s.Xn );
|
|
mbedtls_p256_cop( s.T1, s.T3 );
|
|
mbedtls_p256_shl( s.T1 );
|
|
mbedtls_p256_mul( s.X, s.T2, 4, s.T2, 4 );
|
|
mbedtls_p256_hub( s.X, s.T1 );
|
|
mbedtls_p256_hub( s.X, s.T4 );
|
|
mbedtls_p256_hub( s.T3, s.X );
|
|
mbedtls_p256_mul( s.T3, s.T3, 4, s.T2, 4 );
|
|
mbedtls_p256_mul( s.T4, s.T4, 4, s.Y, s.Yn );
|
|
mbedtls_p256_sub( s.Y, s.T3, s.T4 );
|
|
mbedtls_p256_cop( R->X.p, s.X );
|
|
mbedtls_p256_cop( R->Y.p, s.Y );
|
|
mbedtls_p256_cop( R->Z.p, s.Z );
|
|
mbedtls_platform_zeroize(&s, sizeof(s));
|
|
return 0;
|
|
}
|
|
|
|
static void
|
|
mbedtls_p256_inv( uint64_t X[4],
|
|
const uint64_t A[4],
|
|
const uint64_t N[4] )
|
|
{
|
|
uint64_t TA[5], TU[5], TV[5], UV[4][5];
|
|
mbedtls_platform_zeroize( UV, sizeof( UV ) );
|
|
*(uint64_t *)mempcpy( TA, A, 4*8 ) = 0;
|
|
*(uint64_t *)mempcpy( TU, A, 4*8 ) = 0;
|
|
*(uint64_t *)mempcpy( TV, N, 4*8 ) = 0;
|
|
UV[0][0] = 1;
|
|
UV[3][0] = 1;
|
|
do {
|
|
while( ~TU[0] & 1 ){
|
|
mbedtls_p256_sar( TU );
|
|
if( ( UV[0][0] | UV[1][0] ) & 1 ){
|
|
mbedtls_p256_gro( UV[0] );
|
|
mbedtls_p256_slu( UV[1], TA );
|
|
}
|
|
mbedtls_p256_sar( UV[0] );
|
|
mbedtls_p256_sar( UV[1] );
|
|
}
|
|
while( ~TV[0] & 1 ){
|
|
mbedtls_p256_sar( TV );
|
|
if( ( UV[2][0] | UV[3][0] ) & 1 ){
|
|
mbedtls_p256_gro( UV[2] );
|
|
mbedtls_p256_slu( UV[3], TA );
|
|
}
|
|
mbedtls_p256_sar( UV[2] );
|
|
mbedtls_p256_sar( UV[3] );
|
|
}
|
|
if( mbedtls_p256_cmp( TU, TV ) >= 0 ){
|
|
mbedtls_p256_slu( TU, TV );
|
|
mbedtls_p256_slu( UV[0], UV[2] );
|
|
mbedtls_p256_slu( UV[1], UV[3] );
|
|
} else {
|
|
mbedtls_p256_slu( TV, TU );
|
|
mbedtls_p256_slu( UV[2], UV[0] );
|
|
mbedtls_p256_slu( UV[3], UV[1] );
|
|
}
|
|
} while( TU[0] | TU[1] | TU[2] | TU[3] | TU[4] );
|
|
while( (int64_t)UV[2][4] < 0 )
|
|
mbedtls_p256_gro( UV[2] );
|
|
while( mbedtls_p256_gte( UV[2] ) )
|
|
mbedtls_p256_red( UV[2] );
|
|
mbedtls_p256_cop( X, UV[2] );
|
|
}
|
|
|
|
int mbedtls_p256_normalize_jac_many( const mbedtls_ecp_group *grp,
|
|
mbedtls_ecp_point *T[], size_t n )
|
|
{
|
|
size_t i;
|
|
uint64_t *c, u[8], ta[8], Zi[8], ZZi[8];
|
|
if( !( c = mbedtls_calloc( n, 8*8 ) ) )
|
|
return( MBEDTLS_ERR_ECP_ALLOC_FAILED );
|
|
memcpy( c, T[0]->Z.p, T[0]->Z.n*8 );
|
|
for( i = 1; i < n; i++ )
|
|
mbedtls_p256_mul( c+i*8, c+(i-1)*8, 4, T[i]->Z.p, 4 );
|
|
mbedtls_p256_inv( u, c+(n-1)*8, grp->P.p );
|
|
for( i = n - 1; ; i-- ){
|
|
if( !i ){
|
|
mbedtls_p256_cop( Zi, u );
|
|
} else {
|
|
mbedtls_p256_mul( Zi, u, 4, c+(i-1)*8, 4 );
|
|
mbedtls_p256_mul( u, u, 4, T[i]->Z.p, 4 );
|
|
}
|
|
mbedtls_p256_mul( ZZi, Zi, 4, Zi, 4 );
|
|
mbedtls_p256_mul( ta, T[i]->X.p, 4, ZZi, 4 );
|
|
mbedtls_p256_cop( T[i]->X.p, ta );
|
|
mbedtls_p256_mul( ta, T[i]->Y.p, 4, ZZi, 4 );
|
|
mbedtls_p256_mul( ta, ta, 4, Zi, 4 );
|
|
mbedtls_p256_cop( T[i]->Y.p, ta );
|
|
mbedtls_mpi_free( &T[i]->Z );
|
|
if( !i ) break;
|
|
}
|
|
mbedtls_platform_zeroize( ta, sizeof( ta ) );
|
|
mbedtls_platform_zeroize( c, n*8*8 );
|
|
mbedtls_free( c );
|
|
return( 0 );
|
|
}
|
|
|
|
int mbedtls_p256_normalize_jac( const mbedtls_ecp_group *grp,
|
|
mbedtls_ecp_point *pt )
|
|
{
|
|
int ret;
|
|
uint64_t t[8], Zi[8], ZZi[8];
|
|
if ((ret = mbedtls_p256_dim(pt))) return ret;
|
|
mbedtls_p256_inv( Zi, pt->Z.p, grp->P.p );
|
|
mbedtls_p256_mul( ZZi, Zi, 4, Zi, 4 );
|
|
mbedtls_p256_mul( t, pt->X.p, 4, ZZi, 4 );
|
|
mbedtls_p256_cop( pt->X.p, t );
|
|
mbedtls_p256_mul( t, pt->Y.p, 4, ZZi, 4 );
|
|
mbedtls_p256_mul( t, t, 4, Zi, 4 );
|
|
mbedtls_p256_cop( pt->Y.p, t );
|
|
mbedtls_mpi_lset( &pt->Z, 1 );
|
|
return( 0 );
|
|
}
|