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Base64 decoding: use ranges instead of tables
Instead of doing constant-flow table lookup, which requires 128 memory loads for each lookup into a 128-entry table, do a range-based calculation, which requires more CPU instructions per range but there are only 5 ranges. Experimentally, this is ~12x faster on my PC (based on programs/x509/load_roots). The code is slightly smaller, too. Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
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@ -46,23 +46,6 @@ static const unsigned char base64_enc_map[64] =
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'8', '9', '+', '/'
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};
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static const unsigned char base64_dec_map[128] =
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{
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127, 127, 127, 127, 127, 127, 127, 127, 127, 127,
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127, 127, 127, 127, 127, 127, 127, 127, 127, 127,
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127, 127, 127, 127, 127, 127, 127, 127, 127, 127,
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127, 127, 127, 127, 127, 127, 127, 127, 127, 127,
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127, 127, 127, 62, 127, 127, 127, 63, 52, 53,
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54, 55, 56, 57, 58, 59, 60, 61, 127, 127,
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127, 127, 127, 127, 127, 0, 1, 2, 3, 4,
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5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
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15, 16, 17, 18, 19, 20, 21, 22, 23, 24,
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25, 127, 127, 127, 127, 127, 127, 26, 27, 28,
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29, 30, 31, 32, 33, 34, 35, 36, 37, 38,
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39, 40, 41, 42, 43, 44, 45, 46, 47, 48,
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49, 50, 51, 127, 127, 127, 127, 127
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};
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#define BASE64_SIZE_T_MAX ( (size_t) -1 ) /* SIZE_T_MAX is not standard */
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/*
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@ -133,6 +116,18 @@ static unsigned char mbedtls_base64_table_lookup( const unsigned char * const ta
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return result;
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}
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/* Return 0xff if low <= c <= high, 0 otherwise.
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*
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* Constant flow with respect to c.
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*/
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static unsigned char mask_of_range( unsigned char low, unsigned char high,
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unsigned char c )
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{
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unsigned low_mask = ( c - low ) >> 8;
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unsigned high_mask = ( c - high - 1 ) >> 8;
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return( ~low_mask & high_mask & 0xff );
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}
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/*
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* Encode a buffer into base64 format
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*/
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@ -211,6 +206,34 @@ int mbedtls_base64_encode( unsigned char *dst, size_t dlen, size_t *olen,
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return( 0 );
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}
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/* Given a Base64 digit, return its value.
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* If c is not a Base64 digit ('A'..'Z', 'a'..'z', '0'..'9', '+' or '/'),
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* return -1.
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*
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* The implementation assumes that letters are consecutive (e.g. ASCII
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* but not EBCDIC).
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*
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* The implementation is constant-flow (no branch or memory access depending
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* on the value of c) unless the compiler inlines and optimizes a specific
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* access.
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*/
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static signed char dec_value( unsigned char c )
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{
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unsigned char val = 0;
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/* For each range of digits, if c is in that range, mask val with
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* the corresponding value. Since c can only be in a single range,
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* only at most one masking will change val. Set val to one plus
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* the desired value so that it stays 0 if c is in none of the ranges. */
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val |= mask_of_range( 'A', 'Z', c ) & ( c - 'A' + 0 + 1 );
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val |= mask_of_range( 'a', 'z', c ) & ( c - 'a' + 26 + 1 );
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val |= mask_of_range( '0', '9', c ) & ( c - '0' + 52 + 1 );
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val |= mask_of_range( '+', '+', c ) & ( c - '+' + 62 + 1 );
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val |= mask_of_range( '/', '/', c ) & ( c - '/' + 63 + 1 );
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/* At this point, val is 0 if c is an invalid digit and v+1 if c is
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* a digit with the value v. */
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return( val - 1 );
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}
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/*
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* Decode a base64-formatted buffer
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*/
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@ -220,7 +243,6 @@ int mbedtls_base64_decode( unsigned char *dst, size_t dlen, size_t *olen,
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size_t i, n;
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uint32_t j, x;
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unsigned char *p;
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unsigned char dec_map_lookup;
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/* First pass: check for validity and get output length */
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for( i = n = j = 0; i < slen; i++ )
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@ -260,8 +282,7 @@ int mbedtls_base64_decode( unsigned char *dst, size_t dlen, size_t *olen,
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{
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if( j != 0 )
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return( MBEDTLS_ERR_BASE64_INVALID_CHARACTER );
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dec_map_lookup = mbedtls_base64_table_lookup( base64_dec_map, sizeof( base64_dec_map ), src[i] );
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if( dec_map_lookup == 127 )
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if( dec_value( src[i] ) < 0 )
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return( MBEDTLS_ERR_BASE64_INVALID_CHARACTER );
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}
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n++;
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@ -298,8 +319,7 @@ int mbedtls_base64_decode( unsigned char *dst, size_t dlen, size_t *olen,
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}
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else
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{
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dec_map_lookup = mbedtls_base64_table_lookup( base64_dec_map, sizeof( base64_dec_map ), *src );
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x = ( x << 6 ) | ( dec_map_lookup & 0x3F );
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x = ( x << 6 ) | ( dec_value( *src ) & 0x3F );
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}
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if( ++n == 4 )
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