/* * Core bignum functions * * Copyright The Mbed TLS Contributors * SPDX-License-Identifier: Apache-2.0 * * Licensed under the Apache License, Version 2.0 (the "License"); you may * not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ #include "common.h" #if defined(MBEDTLS_BIGNUM_C) #include #include "mbedtls/error.h" #include "mbedtls/platform_util.h" #if defined(MBEDTLS_PLATFORM_C) #include "mbedtls/platform.h" #else #include #include #define mbedtls_printf printf #define mbedtls_calloc calloc #define mbedtls_free free #endif #include "bignum_core.h" size_t mbedtls_mpi_core_clz( const mbedtls_mpi_uint a ) { size_t j; mbedtls_mpi_uint mask = (mbedtls_mpi_uint) 1 << (biL - 1); for( j = 0; j < biL; j++ ) { if( a & mask ) break; mask >>= 1; } return( j ); } size_t mbedtls_mpi_core_bitlen( const mbedtls_mpi_uint *A, size_t A_limbs ) { size_t i, j; if( A_limbs == 0 ) return( 0 ); for( i = A_limbs - 1; i > 0; i-- ) if( A[i] != 0 ) break; j = biL - mbedtls_mpi_core_clz( A[i] ); return( ( i * biL ) + j ); } /* Convert a big-endian byte array aligned to the size of mbedtls_mpi_uint * into the storage form used by mbedtls_mpi. */ static mbedtls_mpi_uint mpi_bigendian_to_host_c( mbedtls_mpi_uint a ) { uint8_t i; unsigned char *a_ptr; mbedtls_mpi_uint tmp = 0; for( i = 0, a_ptr = (unsigned char *) &a; i < ciL; i++, a_ptr++ ) { tmp <<= CHAR_BIT; tmp |= (mbedtls_mpi_uint) *a_ptr; } return( tmp ); } static mbedtls_mpi_uint mpi_bigendian_to_host( mbedtls_mpi_uint a ) { #if defined(__BYTE_ORDER__) /* Nothing to do on bigendian systems. */ #if ( __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__ ) return( a ); #endif /* __BYTE_ORDER__ == __ORDER_BIG_ENDIAN__ */ #if ( __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__ ) /* For GCC and Clang, have builtins for byte swapping. */ #if defined(__GNUC__) && defined(__GNUC_PREREQ) #if __GNUC_PREREQ(4,3) #define have_bswap #endif #endif #if defined(__clang__) && defined(__has_builtin) #if __has_builtin(__builtin_bswap32) && \ __has_builtin(__builtin_bswap64) #define have_bswap #endif #endif #if defined(have_bswap) /* The compiler is hopefully able to statically evaluate this! */ switch( sizeof(mbedtls_mpi_uint) ) { case 4: return( __builtin_bswap32(a) ); case 8: return( __builtin_bswap64(a) ); } #endif #endif /* __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__ */ #endif /* __BYTE_ORDER__ */ /* Fall back to C-based reordering if we don't know the byte order * or we couldn't use a compiler-specific builtin. */ return( mpi_bigendian_to_host_c( a ) ); } void mbedtls_mpi_core_bigendian_to_host( mbedtls_mpi_uint *A, size_t A_limbs ) { mbedtls_mpi_uint *cur_limb_left; mbedtls_mpi_uint *cur_limb_right; if( A_limbs == 0 ) return; /* * Traverse limbs and * - adapt byte-order in each limb * - swap the limbs themselves. * For that, simultaneously traverse the limbs from left to right * and from right to left, as long as the left index is not bigger * than the right index (it's not a problem if limbs is odd and the * indices coincide in the last iteration). */ for( cur_limb_left = A, cur_limb_right = A + ( A_limbs - 1 ); cur_limb_left <= cur_limb_right; cur_limb_left++, cur_limb_right-- ) { mbedtls_mpi_uint tmp; /* Note that if cur_limb_left == cur_limb_right, * this code effectively swaps the bytes only once. */ tmp = mpi_bigendian_to_host( *cur_limb_left ); *cur_limb_left = mpi_bigendian_to_host( *cur_limb_right ); *cur_limb_right = tmp; } } int mbedtls_mpi_core_read_le( mbedtls_mpi_uint *X, size_t X_limbs, const unsigned char *input, size_t input_length ) { const size_t limbs = CHARS_TO_LIMBS( input_length ); if( X_limbs < limbs ) return( MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL ); if( X != NULL ) { memset( X, 0, X_limbs * ciL ); for( size_t i = 0; i < input_length; i++ ) { size_t offset = ( ( i % ciL ) << 3 ); X[i / ciL] |= ( (mbedtls_mpi_uint) input[i] ) << offset; } } return( 0 ); } int mbedtls_mpi_core_read_be( mbedtls_mpi_uint *X, size_t X_limbs, const unsigned char *input, size_t input_length ) { const size_t limbs = CHARS_TO_LIMBS( input_length ); if( X_limbs < limbs ) return( MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL ); /* If X_limbs is 0, input_length must also be 0 (from previous test). * Nothing to do. */ if( X_limbs == 0 ) return( 0 ); memset( X, 0, X_limbs * ciL ); /* memcpy() with (NULL, 0) is undefined behaviour */ if( input_length != 0 ) { size_t overhead = ( X_limbs * ciL ) - input_length; unsigned char *Xp = (unsigned char *) X; memcpy( Xp + overhead, input, input_length ); } mbedtls_mpi_core_bigendian_to_host( X, X_limbs ); return( 0 ); } int mbedtls_mpi_core_write_le( const mbedtls_mpi_uint *A, size_t A_limbs, unsigned char *output, size_t output_length ) { size_t stored_bytes = A_limbs * ciL; size_t bytes_to_copy; if( stored_bytes < output_length ) { bytes_to_copy = stored_bytes; } else { bytes_to_copy = output_length; /* The output buffer is smaller than the allocated size of A. * However A may fit if its leading bytes are zero. */ for( size_t i = bytes_to_copy; i < stored_bytes; i++ ) { if( GET_BYTE( A, i ) != 0 ) return( MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL ); } } for( size_t i = 0; i < bytes_to_copy; i++ ) output[i] = GET_BYTE( A, i ); if( stored_bytes < output_length ) { /* Write trailing 0 bytes */ memset( output + stored_bytes, 0, output_length - stored_bytes ); } return( 0 ); } int mbedtls_mpi_core_write_be( const mbedtls_mpi_uint *X, size_t X_limbs, unsigned char *output, size_t output_length ) { size_t stored_bytes; size_t bytes_to_copy; unsigned char *p; stored_bytes = X_limbs * ciL; if( stored_bytes < output_length ) { /* There is enough space in the output buffer. Write initial * null bytes and record the position at which to start * writing the significant bytes. In this case, the execution * trace of this function does not depend on the value of the * number. */ bytes_to_copy = stored_bytes; p = output + output_length - stored_bytes; memset( output, 0, output_length - stored_bytes ); } else { /* The output buffer is smaller than the allocated size of X. * However X may fit if its leading bytes are zero. */ bytes_to_copy = output_length; p = output; for( size_t i = bytes_to_copy; i < stored_bytes; i++ ) { if( GET_BYTE( X, i ) != 0 ) return( MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL ); } } for( size_t i = 0; i < bytes_to_copy; i++ ) p[bytes_to_copy - i - 1] = GET_BYTE( X, i ); return( 0 ); } #endif /* MBEDTLS_BIGNUM_C */