/*-*- 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/log/check.h" #include "libc/nexgen32e/x86feature.h" #include "libc/runtime/gc.internal.h" #include "libc/runtime/runtime.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/traceme.h" /* clang-format off */ static inline bool mbedtls_p256_isz( uint64_t p[4] ) { return( !p[0] & !p[1] & !p[2] & !p[3] ); } static inline bool mbedtls_p256_gte( uint64_t p[5] ) { 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 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 noinline 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 inline 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 inline 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_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 int mbedtls_p256_inv(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B) { int ret = MBEDTLS_ERR_THIS_CORRUPTION; mbedtls_mpi G, TA, TU, U1, U2, TB, TV, V1, V2; MBEDTLS_ASSERT( A->s == 1 ); MBEDTLS_ASSERT( B->s == 1 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs(X) <= 4 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs(A) <= 4 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs(B) <= 4 ); MBEDTLS_ASSERT( mbedtls_mpi_cmp_int(B, 1) > 0 ); mbedtls_mpi_init( &TA ); mbedtls_mpi_init( &TU ); mbedtls_mpi_init( &U1 ); mbedtls_mpi_init( &U2 ); mbedtls_mpi_init( &G ); mbedtls_mpi_init( &TB ); mbedtls_mpi_init( &TV ); mbedtls_mpi_init( &V1 ); mbedtls_mpi_init( &V2 ); MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &TA, 5 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &TU, 5 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &U1, 5 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &U2, 5 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &G, 5 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &TB, 5 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &TV, 5 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &V1, 5 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &V2, 5 ) ); MBEDTLS_MPI_CHK(mbedtls_mpi_gcd( &G, A, B )); if (!mbedtls_mpi_is_one( &G )) { ret = MBEDTLS_ERR_MPI_NOT_ACCEPTABLE; goto cleanup; } MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &TA, A, B ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &TU, &TA ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &TB, B ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &TV, B ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &U1, 1 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &U2, 0 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &V1, 0 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &V2, 1 ) ); do { MBEDTLS_ASSERT( mbedtls_mpi_limbs( &TU ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &U1 ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &U2 ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &TV ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &V2 ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &V1 ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &G ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &TA ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &TB ) <= 5 ); while (!(TU.p[0] & 1)) { mbedtls_p256_sar(TU.p); if ((U1.p[0] & 1) || (U2.p[0] & 1)) { MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi(&U1, &U1, &TB) ); MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi(&U2, &U2, &TA) ); } mbedtls_p256_sar(U1.p); mbedtls_p256_sar(U2.p); } while (!(TV.p[0] & 1)) { mbedtls_p256_sar(TV.p); if ((V1.p[0] & 1) || (V2.p[0] & 1)) { MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi(&V1, &V1, &TB) ); MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi(&V2, &V2, &TA) ); } mbedtls_p256_sar( V1.p ); mbedtls_p256_sar( V2.p ); } if (mbedtls_mpi_cmp_mpi( &TU, &TV ) >= 0) { MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &TU, &TU, &TV ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &U1, &U1, &V1 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &U2, &U2, &V2 ) ); } else { MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &TV, &TV, &TU ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &V1, &V1, &U1 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &V2, &V2, &U2 ) ); } } while ( TU.p[0] | TU.p[1] | TU.p[2] | TU.p[3] ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &TU ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &U1 ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &U2 ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &TV ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &V2 ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &V1 ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &G ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &TA ) <= 5 ); MBEDTLS_ASSERT( mbedtls_mpi_limbs( &TB ) <= 5 ); while (V1.s < 0) MBEDTLS_MPI_CHK(mbedtls_mpi_add_mpi( &V1, &V1, B )); while (mbedtls_mpi_cmp_mpi( &V1, B ) >= 0) MBEDTLS_MPI_CHK(mbedtls_mpi_sub_mpi( &V1, &V1, B )); MBEDTLS_MPI_CHK( mbedtls_mpi_copy( X, &V1 ) ); cleanup: mbedtls_mpi_free( &TA ); mbedtls_mpi_free( &TU ); mbedtls_mpi_free( &U1 ); mbedtls_mpi_free( &U2 ); mbedtls_mpi_free( &G ); mbedtls_mpi_free( &TB ); mbedtls_mpi_free( &TV ); mbedtls_mpi_free( &V1 ); mbedtls_mpi_free( &V2 ); return ret; } int mbedtls_p256_normalize_jac_many( const mbedtls_ecp_group *grp, mbedtls_ecp_point *T[], size_t T_size ) { int ret = MBEDTLS_ERR_THIS_CORRUPTION; size_t i; uint64_t ta[8]; mbedtls_mpi *c, u, Zi, ZZi; if( !( c = mbedtls_calloc( T_size, sizeof( mbedtls_mpi ) ) ) ) return( MBEDTLS_ERR_ECP_ALLOC_FAILED ); mbedtls_mpi_init( &u ); mbedtls_mpi_init( &Zi ); mbedtls_mpi_init( &ZZi ); for( i = 0; i < T_size; i++ ) { CHECK_EQ( 4, T[i]->X.n ); CHECK_EQ( 4, T[i]->Y.n ); CHECK_EQ( 4, T[i]->Z.n ); mbedtls_mpi_init( c + i ); } for( i = 0; i < T_size; i++ ) MBEDTLS_MPI_CHK( mbedtls_mpi_grow( c + i, 8 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &u, 8 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &Zi, 8 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &ZZi, 8 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_copy( c, &T[0]->Z ) ); for( i = 1; i < T_size; i++ ) mbedtls_p256_mul( c[i].p, c[i-1].p, 4, T[i]->Z.p, 4 ); /* mbedtls_mpi_inv_mod( &u, &c[T_size-1], &grp->P ); */ MBEDTLS_MPI_CHK( mbedtls_p256_inv( &u, c + T_size - 1, &grp->P ) ); for( i = T_size - 1; ; i-- ) { if( !i ) memcpy( Zi.p, u.p, 4 * 8 ); else { mbedtls_p256_mul( Zi.p, u.p, 4, c[i-1].p, 4 ); mbedtls_p256_mul( u.p, u.p, 4, T[i]->Z.p, 4 ); } mbedtls_p256_mul( ZZi.p, Zi.p, 4, Zi.p, 4 ); mbedtls_p256_mul( ta, T[i]->X.p, 4, ZZi.p, 4 ); memcpy( T[i]->X.p, ta, 4 * 8 ); mbedtls_p256_mul( ta, T[i]->Y.p, 4, ZZi.p, 4 ); mbedtls_p256_mul( ta, ta, 4, Zi.p, 4 ); memcpy( T[i]->Y.p, ta, 4 * 8 ); mbedtls_mpi_free( &T[i]->Z ); if( !i ) break; } cleanup: mbedtls_platform_zeroize( ta, sizeof(ta) ); for( i = 0; i < T_size; i++ ) mbedtls_mpi_free( c + i ); mbedtls_mpi_free( &ZZi ); mbedtls_mpi_free( &Zi ); mbedtls_mpi_free( &u ); mbedtls_free( c ); return( ret ); } int mbedtls_p256_normalize_jac( const mbedtls_ecp_group *grp, mbedtls_ecp_point *pt ) { int ret = MBEDTLS_ERR_THIS_CORRUPTION; mbedtls_mpi Zi, ZZi; mbedtls_mpi_init( &Zi ); mbedtls_mpi_init( &ZZi ); MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &Zi, 8 ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &ZZi, 8 ) ); mbedtls_p256_inv( &Zi, &pt->Z, &grp->P ); mbedtls_p256_mul( ZZi.p, Zi.p, 4, Zi.p, 4 ); mbedtls_p256_mul( pt->X.p, pt->X.p, 4, ZZi.p, 4 ); mbedtls_p256_mul( pt->Y.p, pt->Y.p, 4, ZZi.p, 4 ); mbedtls_p256_mul( pt->Y.p, pt->Y.p, 4, Zi.p, 4 ); mbedtls_mpi_lset( &pt->Z, 1 ); cleanup: mbedtls_mpi_free( &ZZi ); mbedtls_mpi_free( &Zi ); return( ret ); }