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IABSD.fr/src/lib/libssl/s3_cbc.c

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  • Author : jsing
    Date : 2021-05-16 14:10:43
    Hash : 10e340b2
    Message : Make local header inclusion consistent. Consistently include local headers in the same location, using the same grouping/sorting across all files.

  • lib/libssl/s3_cbc.c
  • /* $OpenBSD: s3_cbc.c,v 1.24 2021/05/16 14:10:43 jsing Exp $ */
    /* ====================================================================
     * Copyright (c) 2012 The OpenSSL Project.  All rights reserved.
     *
     * Redistribution and use in source and binary forms, with or without
     * modification, are permitted provided that the following conditions
     * are met:
     *
     * 1. Redistributions of source code must retain the above copyright
     *    notice, this list of conditions and the following disclaimer.
     *
     * 2. Redistributions in binary form must reproduce the above copyright
     *    notice, this list of conditions and the following disclaimer in
     *    the documentation and/or other materials provided with the
     *    distribution.
     *
     * 3. All advertising materials mentioning features or use of this
     *    software must display the following acknowledgment:
     *    "This product includes software developed by the OpenSSL Project
     *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
     *
     * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
     *    endorse or promote products derived from this software without
     *    prior written permission. For written permission, please contact
     *    openssl-core@openssl.org.
     *
     * 5. Products derived from this software may not be called "OpenSSL"
     *    nor may "OpenSSL" appear in their names without prior written
     *    permission of the OpenSSL Project.
     *
     * 6. Redistributions of any form whatsoever must retain the following
     *    acknowledgment:
     *    "This product includes software developed by the OpenSSL Project
     *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
     *
     * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
     * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
     * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
     * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
     * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
     * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
     * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
     * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
     * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
     * OF THE POSSIBILITY OF SUCH DAMAGE.
     * ====================================================================
     *
     * This product includes cryptographic software written by Eric Young
     * (eay@cryptsoft.com).  This product includes software written by Tim
     * Hudson (tjh@cryptsoft.com).
     *
     */
    
    #include <openssl/md5.h>
    #include <openssl/sha.h>
    
    #include "ssl_locl.h"
    
    /* MAX_HASH_BIT_COUNT_BYTES is the maximum number of bytes in the hash's length
     * field. (SHA-384/512 have 128-bit length.) */
    #define MAX_HASH_BIT_COUNT_BYTES 16
    
    /* MAX_HASH_BLOCK_SIZE is the maximum hash block size that we'll support.
     * Currently SHA-384/512 has a 128-byte block size and that's the largest
     * supported by TLS.) */
    #define MAX_HASH_BLOCK_SIZE 128
    
    /* Some utility functions are needed:
     *
     * These macros return the given value with the MSB copied to all the other
     * bits. They use the fact that arithmetic shift shifts-in the sign bit.
     * However, this is not ensured by the C standard so you may need to replace
     * them with something else on odd CPUs. */
    #define DUPLICATE_MSB_TO_ALL(x) ((unsigned int)((int)(x) >> (sizeof(int) * 8 - 1)))
    #define DUPLICATE_MSB_TO_ALL_8(x) ((unsigned char)(DUPLICATE_MSB_TO_ALL(x)))
    
    /* constant_time_lt returns 0xff if a<b and 0x00 otherwise. */
    static unsigned int
    constant_time_lt(unsigned int a, unsigned int b)
    {
    	a -= b;
    	return DUPLICATE_MSB_TO_ALL(a);
    }
    
    /* constant_time_ge returns 0xff if a>=b and 0x00 otherwise. */
    static unsigned int
    constant_time_ge(unsigned int a, unsigned int b)
    {
    	a -= b;
    	return DUPLICATE_MSB_TO_ALL(~a);
    }
    
    /* constant_time_eq_8 returns 0xff if a==b and 0x00 otherwise. */
    static unsigned char
    constant_time_eq_8(unsigned int a, unsigned int b)
    {
    	unsigned int c = a ^ b;
    	c--;
    	return DUPLICATE_MSB_TO_ALL_8(c);
    }
    
    /* ssl3_cbc_remove_padding removes the CBC padding from the decrypted, TLS, CBC
     * record in |rec| in constant time and returns 1 if the padding is valid and
     * -1 otherwise. It also removes any explicit IV from the start of the record
     * without leaking any timing about whether there was enough space after the
     * padding was removed.
     *
     * block_size: the block size of the cipher used to encrypt the record.
     * returns:
     *   0: (in non-constant time) if the record is publicly invalid.
     *   1: if the padding was valid
     *  -1: otherwise. */
    int
    ssl3_cbc_remove_padding(SSL3_RECORD_INTERNAL *rec, unsigned int eiv_len,
        unsigned int mac_size)
    {
    	unsigned int padding_length, good, to_check, i;
    	const unsigned int overhead = 1 /* padding length byte */ + mac_size;
    
    	/*
    	 * These lengths are all public so we can test them in
    	 * non-constant time.
    	 */
    	if (overhead + eiv_len > rec->length)
    		return 0;
    
    	/* We can now safely skip explicit IV, if any. */
    	rec->data += eiv_len;
    	rec->input += eiv_len;
    	rec->length -= eiv_len;
    
    	padding_length = rec->data[rec->length - 1];
    
    	good = constant_time_ge(rec->length, overhead + padding_length);
    	/* The padding consists of a length byte at the end of the record and
    	 * then that many bytes of padding, all with the same value as the
    	 * length byte. Thus, with the length byte included, there are i+1
    	 * bytes of padding.
    	 *
    	 * We can't check just |padding_length+1| bytes because that leaks
    	 * decrypted information. Therefore we always have to check the maximum
    	 * amount of padding possible. (Again, the length of the record is
    	 * public information so we can use it.) */
    	to_check = 256; /* maximum amount of padding, inc length byte. */
    	if (to_check > rec->length)
    		to_check = rec->length;
    
    	for (i = 0; i < to_check; i++) {
    		unsigned char mask = constant_time_ge(padding_length, i);
    		unsigned char b = rec->data[rec->length - 1 - i];
    		/* The final |padding_length+1| bytes should all have the value
    		 * |padding_length|. Therefore the XOR should be zero. */
    		good &= ~(mask&(padding_length ^ b));
    	}
    
    	/* If any of the final |padding_length+1| bytes had the wrong value,
    	 * one or more of the lower eight bits of |good| will be cleared. We
    	 * AND the bottom 8 bits together and duplicate the result to all the
    	 * bits. */
    	good &= good >> 4;
    	good &= good >> 2;
    	good &= good >> 1;
    	good <<= sizeof(good)*8 - 1;
    	good = DUPLICATE_MSB_TO_ALL(good);
    
    	padding_length = good & (padding_length + 1);
    	rec->length -= padding_length;
    	rec->padding_length = padding_length;
    
    	return (int)((good & 1) | (~good & -1));
    }
    
    /* ssl3_cbc_copy_mac copies |md_size| bytes from the end of |rec| to |out| in
     * constant time (independent of the concrete value of rec->length, which may
     * vary within a 256-byte window).
     *
     * ssl3_cbc_remove_padding or tls1_cbc_remove_padding must be called prior to
     * this function.
     *
     * On entry:
     *   rec->orig_len >= md_size
     *   md_size <= EVP_MAX_MD_SIZE
     *
     * If CBC_MAC_ROTATE_IN_PLACE is defined then the rotation is performed with
     * variable accesses in a 64-byte-aligned buffer. Assuming that this fits into
     * a single or pair of cache-lines, then the variable memory accesses don't
     * actually affect the timing. CPUs with smaller cache-lines [if any] are
     * not multi-core and are not considered vulnerable to cache-timing attacks.
     */
    #define CBC_MAC_ROTATE_IN_PLACE
    
    void
    ssl3_cbc_copy_mac(unsigned char* out, const SSL3_RECORD_INTERNAL *rec,
        unsigned int md_size, unsigned int orig_len)
    {
    #if defined(CBC_MAC_ROTATE_IN_PLACE)
    	unsigned char rotated_mac_buf[64 + EVP_MAX_MD_SIZE];
    	unsigned char *rotated_mac;
    #else
    	unsigned char rotated_mac[EVP_MAX_MD_SIZE];
    #endif
    
    	/* mac_end is the index of |rec->data| just after the end of the MAC. */
    	unsigned int mac_end = rec->length;
    	unsigned int mac_start = mac_end - md_size;
    	/* scan_start contains the number of bytes that we can ignore because
    	 * the MAC's position can only vary by 255 bytes. */
    	unsigned int scan_start = 0;
    	unsigned int i, j;
    	unsigned int div_spoiler;
    	unsigned int rotate_offset;
    
    	OPENSSL_assert(orig_len >= md_size);
    	OPENSSL_assert(md_size <= EVP_MAX_MD_SIZE);
    
    #if defined(CBC_MAC_ROTATE_IN_PLACE)
    	rotated_mac = rotated_mac_buf + ((0 - (size_t)rotated_mac_buf)&63);
    #endif
    
    	/* This information is public so it's safe to branch based on it. */
    	if (orig_len > md_size + 255 + 1)
    		scan_start = orig_len - (md_size + 255 + 1);
    	/* div_spoiler contains a multiple of md_size that is used to cause the
    	 * modulo operation to be constant time. Without this, the time varies
    	 * based on the amount of padding when running on Intel chips at least.
    	 *
    	 * The aim of right-shifting md_size is so that the compiler doesn't
    	 * figure out that it can remove div_spoiler as that would require it
    	 * to prove that md_size is always even, which I hope is beyond it. */
    	div_spoiler = md_size >> 1;
    	div_spoiler <<= (sizeof(div_spoiler) - 1) * 8;
    	rotate_offset = (div_spoiler + mac_start - scan_start) % md_size;
    
    	memset(rotated_mac, 0, md_size);
    	for (i = scan_start, j = 0; i < orig_len; i++) {
    		unsigned char mac_started = constant_time_ge(i, mac_start);
    		unsigned char mac_ended = constant_time_ge(i, mac_end);
    		unsigned char b = rec->data[i];
    		rotated_mac[j++] |= b & mac_started & ~mac_ended;
    		j &= constant_time_lt(j, md_size);
    	}
    
    	/* Now rotate the MAC */
    #if defined(CBC_MAC_ROTATE_IN_PLACE)
    	j = 0;
    	for (i = 0; i < md_size; i++) {
    		/* in case cache-line is 32 bytes, touch second line */
    		((volatile unsigned char *)rotated_mac)[rotate_offset^32];
    		out[j++] = rotated_mac[rotate_offset++];
    		rotate_offset &= constant_time_lt(rotate_offset, md_size);
    	}
    #else
    	memset(out, 0, md_size);
    	rotate_offset = md_size - rotate_offset;
    	rotate_offset &= constant_time_lt(rotate_offset, md_size);
    	for (i = 0; i < md_size; i++) {
    		for (j = 0; j < md_size; j++)
    			out[j] |= rotated_mac[i] & constant_time_eq_8(j, rotate_offset);
    		rotate_offset++;
    		rotate_offset &= constant_time_lt(rotate_offset, md_size);
    	}
    #endif
    }
    
    #define l2n(l,c)	(*((c)++)=(unsigned char)(((l)>>24)&0xff), \
    			 *((c)++)=(unsigned char)(((l)>>16)&0xff), \
    			 *((c)++)=(unsigned char)(((l)>> 8)&0xff), \
    			 *((c)++)=(unsigned char)(((l)    )&0xff))
    
    #define l2n8(l,c)	(*((c)++)=(unsigned char)(((l)>>56)&0xff), \
    			 *((c)++)=(unsigned char)(((l)>>48)&0xff), \
    			 *((c)++)=(unsigned char)(((l)>>40)&0xff), \
    			 *((c)++)=(unsigned char)(((l)>>32)&0xff), \
    			 *((c)++)=(unsigned char)(((l)>>24)&0xff), \
    			 *((c)++)=(unsigned char)(((l)>>16)&0xff), \
    			 *((c)++)=(unsigned char)(((l)>> 8)&0xff), \
    			 *((c)++)=(unsigned char)(((l)    )&0xff))
    
    /* u32toLE serialises an unsigned, 32-bit number (n) as four bytes at (p) in
     * little-endian order. The value of p is advanced by four. */
    #define u32toLE(n, p) \
    	(*((p)++)=(unsigned char)(n), \
    	 *((p)++)=(unsigned char)(n>>8), \
    	 *((p)++)=(unsigned char)(n>>16), \
    	 *((p)++)=(unsigned char)(n>>24))
    
    /* These functions serialize the state of a hash and thus perform the standard
     * "final" operation without adding the padding and length that such a function
     * typically does. */
    static void
    tls1_md5_final_raw(void* ctx, unsigned char *md_out)
    {
    	MD5_CTX *md5 = ctx;
    	u32toLE(md5->A, md_out);
    	u32toLE(md5->B, md_out);
    	u32toLE(md5->C, md_out);
    	u32toLE(md5->D, md_out);
    }
    
    static void
    tls1_sha1_final_raw(void* ctx, unsigned char *md_out)
    {
    	SHA_CTX *sha1 = ctx;
    	l2n(sha1->h0, md_out);
    	l2n(sha1->h1, md_out);
    	l2n(sha1->h2, md_out);
    	l2n(sha1->h3, md_out);
    	l2n(sha1->h4, md_out);
    }
    
    static void
    tls1_sha256_final_raw(void* ctx, unsigned char *md_out)
    {
    	SHA256_CTX *sha256 = ctx;
    	unsigned int i;
    
    	for (i = 0; i < 8; i++) {
    		l2n(sha256->h[i], md_out);
    	}
    }
    
    static void
    tls1_sha512_final_raw(void* ctx, unsigned char *md_out)
    {
    	SHA512_CTX *sha512 = ctx;
    	unsigned int i;
    
    	for (i = 0; i < 8; i++) {
    		l2n8(sha512->h[i], md_out);
    	}
    }
    
    /* Largest hash context ever used by the functions above. */
    #define LARGEST_DIGEST_CTX SHA512_CTX
    
    /* Type giving the alignment needed by the above */
    #define LARGEST_DIGEST_CTX_ALIGNMENT SHA_LONG64
    
    /* ssl3_cbc_record_digest_supported returns 1 iff |ctx| uses a hash function
     * which ssl3_cbc_digest_record supports. */
    char
    ssl3_cbc_record_digest_supported(const EVP_MD_CTX *ctx)
    {
    	switch (EVP_MD_CTX_type(ctx)) {
    	case NID_md5:
    	case NID_sha1:
    	case NID_sha224:
    	case NID_sha256:
    	case NID_sha384:
    	case NID_sha512:
    		return 1;
    	default:
    		return 0;
    	}
    }
    
    /* ssl3_cbc_digest_record computes the MAC of a decrypted, padded TLS
     * record.
     *
     *   ctx: the EVP_MD_CTX from which we take the hash function.
     *     ssl3_cbc_record_digest_supported must return true for this EVP_MD_CTX.
     *   md_out: the digest output. At most EVP_MAX_MD_SIZE bytes will be written.
     *   md_out_size: if non-NULL, the number of output bytes is written here.
     *   header: the 13-byte, TLS record header.
     *   data: the record data itself, less any preceeding explicit IV.
     *   data_plus_mac_size: the secret, reported length of the data and MAC
     *     once the padding has been removed.
     *   data_plus_mac_plus_padding_size: the public length of the whole
     *     record, including padding.
     *
     * On entry: by virtue of having been through one of the remove_padding
     * functions, above, we know that data_plus_mac_size is large enough to contain
     * a padding byte and MAC. (If the padding was invalid, it might contain the
     * padding too. )
     */
    int
    ssl3_cbc_digest_record(const EVP_MD_CTX *ctx, unsigned char* md_out,
        size_t* md_out_size, const unsigned char header[13],
        const unsigned char *data, size_t data_plus_mac_size,
        size_t data_plus_mac_plus_padding_size, const unsigned char *mac_secret,
        unsigned int mac_secret_length)
    {
    	union {
    		/*
    		 * Alignment here is to allow this to be cast as SHA512_CTX
    		 * without losing alignment required by the 64-bit SHA_LONG64
    		 * integer it contains.
    		 */
    		LARGEST_DIGEST_CTX_ALIGNMENT align;
    		unsigned char c[sizeof(LARGEST_DIGEST_CTX)];
    	} md_state;
    	void (*md_final_raw)(void *ctx, unsigned char *md_out);
    	void (*md_transform)(void *ctx, const unsigned char *block);
    	unsigned int md_size, md_block_size = 64;
    	unsigned int header_length, variance_blocks,
    	len, max_mac_bytes, num_blocks,
    	num_starting_blocks, k, mac_end_offset, c, index_a, index_b;
    	unsigned int bits;	/* at most 18 bits */
    	unsigned char length_bytes[MAX_HASH_BIT_COUNT_BYTES];
    	/* hmac_pad is the masked HMAC key. */
    	unsigned char hmac_pad[MAX_HASH_BLOCK_SIZE];
    	unsigned char first_block[MAX_HASH_BLOCK_SIZE];
    	unsigned char mac_out[EVP_MAX_MD_SIZE];
    	unsigned int i, j, md_out_size_u;
    	EVP_MD_CTX md_ctx;
    	/* mdLengthSize is the number of bytes in the length field that terminates
    	* the hash. */
    	unsigned int md_length_size = 8;
    	char length_is_big_endian = 1;
    
    	/* This is a, hopefully redundant, check that allows us to forget about
    	 * many possible overflows later in this function. */
    	OPENSSL_assert(data_plus_mac_plus_padding_size < 1024*1024);
    
    	switch (EVP_MD_CTX_type(ctx)) {
    	case NID_md5:
    		MD5_Init((MD5_CTX*)md_state.c);
    		md_final_raw = tls1_md5_final_raw;
    		md_transform = (void(*)(void *ctx, const unsigned char *block)) MD5_Transform;
    		md_size = 16;
    		length_is_big_endian = 0;
    		break;
    	case NID_sha1:
    		SHA1_Init((SHA_CTX*)md_state.c);
    		md_final_raw = tls1_sha1_final_raw;
    		md_transform = (void(*)(void *ctx, const unsigned char *block)) SHA1_Transform;
    		md_size = 20;
    		break;
    	case NID_sha224:
    		SHA224_Init((SHA256_CTX*)md_state.c);
    		md_final_raw = tls1_sha256_final_raw;
    		md_transform = (void(*)(void *ctx, const unsigned char *block)) SHA256_Transform;
    		md_size = 224/8;
    		break;
    	case NID_sha256:
    		SHA256_Init((SHA256_CTX*)md_state.c);
    		md_final_raw = tls1_sha256_final_raw;
    		md_transform = (void(*)(void *ctx, const unsigned char *block)) SHA256_Transform;
    		md_size = 32;
    		break;
    	case NID_sha384:
    		SHA384_Init((SHA512_CTX*)md_state.c);
    		md_final_raw = tls1_sha512_final_raw;
    		md_transform = (void(*)(void *ctx, const unsigned char *block)) SHA512_Transform;
    		md_size = 384/8;
    		md_block_size = 128;
    		md_length_size = 16;
    		break;
    	case NID_sha512:
    		SHA512_Init((SHA512_CTX*)md_state.c);
    		md_final_raw = tls1_sha512_final_raw;
    		md_transform = (void(*)(void *ctx, const unsigned char *block)) SHA512_Transform;
    		md_size = 64;
    		md_block_size = 128;
    		md_length_size = 16;
    		break;
    	default:
    		/* ssl3_cbc_record_digest_supported should have been
    		 * called first to check that the hash function is
    		 * supported. */
    		OPENSSL_assert(0);
    		if (md_out_size)
    			*md_out_size = 0;
    		return 0;
    	}
    
    	OPENSSL_assert(md_length_size <= MAX_HASH_BIT_COUNT_BYTES);
    	OPENSSL_assert(md_block_size <= MAX_HASH_BLOCK_SIZE);
    	OPENSSL_assert(md_size <= EVP_MAX_MD_SIZE);
    
    	header_length = 13;
    
    	/* variance_blocks is the number of blocks of the hash that we have to
    	 * calculate in constant time because they could be altered by the
    	 * padding value.
    	 *
    	 * TLSv1 has MACs up to 48 bytes long (SHA-384) and the padding is not
    	 * required to be minimal. Therefore we say that the final six blocks
    	 * can vary based on the padding.
    	 *
    	 * Later in the function, if the message is short and there obviously
    	 * cannot be this many blocks then variance_blocks can be reduced. */
    	variance_blocks = 6;
    	/* From now on we're dealing with the MAC, which conceptually has 13
    	 * bytes of `header' before the start of the data (TLS) */
    	len = data_plus_mac_plus_padding_size + header_length;
    	/* max_mac_bytes contains the maximum bytes of bytes in the MAC, including
    	* |header|, assuming that there's no padding. */
    	max_mac_bytes = len - md_size - 1;
    	/* num_blocks is the maximum number of hash blocks. */
    	num_blocks = (max_mac_bytes + 1 + md_length_size + md_block_size - 1) / md_block_size;
    	/* In order to calculate the MAC in constant time we have to handle
    	 * the final blocks specially because the padding value could cause the
    	 * end to appear somewhere in the final |variance_blocks| blocks and we
    	 * can't leak where. However, |num_starting_blocks| worth of data can
    	 * be hashed right away because no padding value can affect whether
    	 * they are plaintext. */
    	num_starting_blocks = 0;
    	/* k is the starting byte offset into the conceptual header||data where
    	 * we start processing. */
    	k = 0;
    	/* mac_end_offset is the index just past the end of the data to be
    	 * MACed. */
    	mac_end_offset = data_plus_mac_size + header_length - md_size;
    	/* c is the index of the 0x80 byte in the final hash block that
    	 * contains application data. */
    	c = mac_end_offset % md_block_size;
    	/* index_a is the hash block number that contains the 0x80 terminating
    	 * value. */
    	index_a = mac_end_offset / md_block_size;
    	/* index_b is the hash block number that contains the 64-bit hash
    	 * length, in bits. */
    	index_b = (mac_end_offset + md_length_size) / md_block_size;
    	/* bits is the hash-length in bits. It includes the additional hash
    	 * block for the masked HMAC key. */
    
    	if (num_blocks > variance_blocks) {
    		num_starting_blocks = num_blocks - variance_blocks;
    		k = md_block_size*num_starting_blocks;
    	}
    
    	bits = 8*mac_end_offset;
    	/* Compute the initial HMAC block. */
    	bits += 8*md_block_size;
    	memset(hmac_pad, 0, md_block_size);
    	OPENSSL_assert(mac_secret_length <= sizeof(hmac_pad));
    	memcpy(hmac_pad, mac_secret, mac_secret_length);
    	for (i = 0; i < md_block_size; i++)
    		hmac_pad[i] ^= 0x36;
    
    	md_transform(md_state.c, hmac_pad);
    
    	if (length_is_big_endian) {
    		memset(length_bytes, 0, md_length_size - 4);
    		length_bytes[md_length_size - 4] = (unsigned char)(bits >> 24);
    		length_bytes[md_length_size - 3] = (unsigned char)(bits >> 16);
    		length_bytes[md_length_size - 2] = (unsigned char)(bits >> 8);
    		length_bytes[md_length_size - 1] = (unsigned char)bits;
    	} else {
    		memset(length_bytes, 0, md_length_size);
    		length_bytes[md_length_size - 5] = (unsigned char)(bits >> 24);
    		length_bytes[md_length_size - 6] = (unsigned char)(bits >> 16);
    		length_bytes[md_length_size - 7] = (unsigned char)(bits >> 8);
    		length_bytes[md_length_size - 8] = (unsigned char)bits;
    	}
    
    	if (k > 0) {
    		/* k is a multiple of md_block_size. */
    		memcpy(first_block, header, 13);
    		memcpy(first_block + 13, data, md_block_size - 13);
    		md_transform(md_state.c, first_block);
    		for (i = 1; i < k/md_block_size; i++)
    			md_transform(md_state.c, data + md_block_size*i - 13);
    	}
    
    	memset(mac_out, 0, sizeof(mac_out));
    
    	/* We now process the final hash blocks. For each block, we construct
    	 * it in constant time. If the |i==index_a| then we'll include the 0x80
    	 * bytes and zero pad etc. For each block we selectively copy it, in
    	 * constant time, to |mac_out|. */
    	for (i = num_starting_blocks; i <= num_starting_blocks + variance_blocks; i++) {
    		unsigned char block[MAX_HASH_BLOCK_SIZE];
    		unsigned char is_block_a = constant_time_eq_8(i, index_a);
    		unsigned char is_block_b = constant_time_eq_8(i, index_b);
    		for (j = 0; j < md_block_size; j++) {
    			unsigned char b = 0, is_past_c, is_past_cp1;
    			if (k < header_length)
    				b = header[k];
    			else if (k < data_plus_mac_plus_padding_size + header_length)
    				b = data[k - header_length];
    			k++;
    
    			is_past_c = is_block_a & constant_time_ge(j, c);
    			is_past_cp1 = is_block_a & constant_time_ge(j, c + 1);
    			/* If this is the block containing the end of the
    			 * application data, and we are at the offset for the
    			 * 0x80 value, then overwrite b with 0x80. */
    			b = (b&~is_past_c) | (0x80&is_past_c);
    			/* If this is the block containing the end of the
    			 * application data and we're past the 0x80 value then
    			 * just write zero. */
    			b = b&~is_past_cp1;
    			/* If this is index_b (the final block), but not
    			 * index_a (the end of the data), then the 64-bit
    			 * length didn't fit into index_a and we're having to
    			 * add an extra block of zeros. */
    			b &= ~is_block_b | is_block_a;
    
    			/* The final bytes of one of the blocks contains the
    			 * length. */
    			if (j >= md_block_size - md_length_size) {
    				/* If this is index_b, write a length byte. */
    				b = (b&~is_block_b) | (is_block_b&length_bytes[j - (md_block_size - md_length_size)]);
    			}
    			block[j] = b;
    		}
    
    		md_transform(md_state.c, block);
    		md_final_raw(md_state.c, block);
    		/* If this is index_b, copy the hash value to |mac_out|. */
    		for (j = 0; j < md_size; j++)
    			mac_out[j] |= block[j]&is_block_b;
    	}
    
    	EVP_MD_CTX_init(&md_ctx);
    	if (!EVP_DigestInit_ex(&md_ctx, ctx->digest, NULL /* engine */)) {
    		EVP_MD_CTX_cleanup(&md_ctx);
    		return 0;
    	}
    
    	/* Complete the HMAC in the standard manner. */
    	for (i = 0; i < md_block_size; i++)
    		hmac_pad[i] ^= 0x6a;
    
    	EVP_DigestUpdate(&md_ctx, hmac_pad, md_block_size);
    	EVP_DigestUpdate(&md_ctx, mac_out, md_size);
    
    	EVP_DigestFinal(&md_ctx, md_out, &md_out_size_u);
    	if (md_out_size)
    		*md_out_size = md_out_size_u;
    	EVP_MD_CTX_cleanup(&md_ctx);
    
    	return 1;
    }