/* -*- linux-c -*- drbd_receiver.c This file is part of DRBD by Philipp Reisner and Lars Ellenberg. Copyright (C) 2001-2008, LINBIT Information Technologies GmbH. Copyright (C) 1999-2008, Philipp Reisner . Copyright (C) 2002-2008, Lars Ellenberg . drbd is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2, or (at your option) any later version. drbd is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with drbd; see the file COPYING. If not, write to the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. */ #ifndef _DRBD_VLI_H #define _DRBD_VLI_H /* * At a granularity of 4KiB storage represented per bit, * and stroage sizes of several TiB, * and possibly small-bandwidth replication, * the bitmap transfer time can take much too long, * if transmitted in plain text. * * We try to reduce the transfered bitmap information * by encoding runlengths of bit polarity. * * We never actually need to encode a "zero" (runlengths are positive). * But then we have to store the value of the first bit. * The first bit of information thus shall encode if the first runlength * gives the number of set or unset bits. * * We assume that large areas are either completely set or unset, * which gives good compression with any runlength method, * even when encoding the runlength as fixed size 32bit/64bit integers. * * Still, there may be areas where the polarity flips every few bits, * and encoding the runlength sequence of those areas with fix size * integers would be much worse than plaintext. * * We want to encode small runlength values with minimum code length, * while still being able to encode a Huge run of all zeros. * * Thus we need a Variable Length Integer encoding, VLI. * * For some cases, we produce more code bits than plaintext input. * We need to send incompressible chunks as plaintext, skip over them * and then see if the next chunk compresses better. * * We don't care too much about "excellent" compression ratio for large * runlengths (all set/all clear): whether we achieve a factor of 100 * or 1000 is not that much of an issue. * We do not want to waste too much on short runlengths in the "noisy" * parts of the bitmap, though. * * There are endless variants of VLI, we experimented with: * * simple byte-based * * various bit based with different code word length. * * To avoid yet an other configuration parameter (choice of bitmap compression * algorithm) which was difficult to explain and tune, we just chose the one * variant that turned out best in all test cases. * Based on real world usage patterns, with device sizes ranging from a few GiB * to several TiB, file server/mailserver/webserver/mysql/postgress, * mostly idle to really busy, the all time winner (though sometimes only * marginally better) is: */ /* * encoding is "visualised" as * __little endian__ bitstream, least significant bit first (left most) * * this particular encoding is chosen so that the prefix code * starts as unary encoding the level, then modified so that * 10 levels can be described in 8bit, with minimal overhead * for the smaller levels. * * Number of data bits follow fibonacci sequence, with the exception of the * last level (+1 data bit, so it makes 64bit total). The only worse code when * encoding bit polarity runlength is 1 plain bits => 2 code bits. prefix data bits max val Nº data bits 0 x 0x2 1 10 x 0x4 1 110 xx 0x8 2 1110 xxx 0x10 3 11110 xxx xx 0x30 5 111110 xx xxxxxx 0x130 8 11111100 xxxxxxxx xxxxx 0x2130 13 11111110 xxxxxxxx xxxxxxxx xxxxx 0x202130 21 11111101 xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xx 0x400202130 34 11111111 xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx 56 * maximum encodable value: 0x100000400202130 == 2**56 + some */ /* compression "table": transmitted x 0.29 as plaintext x ........................ x ........................ x ........................ x 0.59 0.21........................ x ........................................................ x .. c ................................................... x 0.44.. o ................................................... x .......... d ................................................... x .......... e ................................................... X............. ................................................... x.............. b ................................................... 2.0x............... i ................................................... #X................ t ................................................... #................. s ........................... plain bits .......... -+----------------------------------------------------------------------- 1 16 32 64 */ /* LEVEL: (total bits, prefix bits, prefix value), * sorted ascending by number of total bits. * The rest of the code table is calculated at compiletime from this. */ /* fibonacci data 1, 1, ... */ #define VLI_L_1_1() do { \ LEVEL( 2, 1, 0x00); \ LEVEL( 3, 2, 0x01); \ LEVEL( 5, 3, 0x03); \ LEVEL( 7, 4, 0x07); \ LEVEL(10, 5, 0x0f); \ LEVEL(14, 6, 0x1f); \ LEVEL(21, 8, 0x3f); \ LEVEL(29, 8, 0x7f); \ LEVEL(42, 8, 0xbf); \ LEVEL(64, 8, 0xff); \ } while (0) /* finds a suitable level to decode the least significant part of in. * returns number of bits consumed. * * BUG() for bad input, as that would mean a buggy code table. */ static inline int vli_decode_bits(u64 *out, const u64 in) { u64 adj = 1; #define LEVEL(t,b,v) \ do { \ if ((in & ((1 << b) -1)) == v) { \ *out = ((in & ((~0ULL) >> (64-t))) >> b) + adj; \ return t; \ } \ adj += 1ULL << (t - b); \ } while (0) VLI_L_1_1(); /* NOT REACHED, if VLI_LEVELS code table is defined properly */ BUG(); #undef LEVEL } /* return number of code bits needed, * or negative error number */ static inline int __vli_encode_bits(u64 *out, const u64 in) { u64 max = 0; u64 adj = 1; if (in == 0) return -EINVAL; #define LEVEL(t,b,v) do { \ max += 1ULL << (t - b); \ if (in <= max) { \ if (out) \ *out = ((in - adj) << b) | v; \ return t; \ } \ adj = max + 1; \ } while (0) VLI_L_1_1(); return -EOVERFLOW; #undef LEVEL } #undef VLI_L_1_1 /* code from here down is independend of actually used bit code */ /* * Code length is determined by some unique (e.g. unary) prefix. * This encodes arbitrary bit length, not whole bytes: we have a bit-stream, * not a byte stream. */ /* for the bitstream, we need a cursor */ struct bitstream_cursor { /* the current byte */ u8 *b; /* the current bit within *b, nomalized: 0..7 */ unsigned int bit; }; /* initialize cursor to point to first bit of stream */ static inline void bitstream_cursor_reset(struct bitstream_cursor *cur, void *s) { cur->b = s; cur->bit = 0; } /* advance cursor by that many bits; maximum expected input value: 64, * but depending on VLI implementation, it may be more. */ static inline void bitstream_cursor_advance(struct bitstream_cursor *cur, unsigned int bits) { bits += cur->bit; cur->b = cur->b + (bits >> 3); cur->bit = bits & 7; } /* the bitstream itself knows its length */ struct bitstream { struct bitstream_cursor cur; unsigned char *buf; size_t buf_len; /* in bytes */ /* for input stream: * number of trailing 0 bits for padding * total number of valid bits in stream: buf_len * 8 - pad_bits */ unsigned int pad_bits; }; static inline void bitstream_init(struct bitstream *bs, void *s, size_t len, unsigned int pad_bits) { bs->buf = s; bs->buf_len = len; bs->pad_bits = pad_bits; bitstream_cursor_reset(&bs->cur, bs->buf); } static inline void bitstream_rewind(struct bitstream *bs) { bitstream_cursor_reset(&bs->cur, bs->buf); memset(bs->buf, 0, bs->buf_len); } /* Put (at most 64) least significant bits of val into bitstream, and advance cursor. * Ignores "pad_bits". * Returns zero if bits == 0 (nothing to do). * Returns number of bits used if successful. * * If there is not enough room left in bitstream, * leaves bitstream unchanged and returns -ENOBUFS. */ static inline int bitstream_put_bits(struct bitstream *bs, u64 val, const unsigned int bits) { unsigned char *b = bs->cur.b; unsigned int tmp; if (bits == 0) return 0; if ((bs->cur.b + ((bs->cur.bit + bits -1) >> 3)) - bs->buf >= bs->buf_len) return -ENOBUFS; /* paranoia: strip off hi bits; they should not be set anyways. */ if (bits < 64) val &= ~0ULL >> (64 - bits); *b++ |= (val & 0xff) << bs->cur.bit; for (tmp = 8 - bs->cur.bit; tmp < bits; tmp += 8) *b++ |= (val >> tmp) & 0xff; bitstream_cursor_advance(&bs->cur, bits); return bits; } /* Fetch (at most 64) bits from bitstream into *out, and advance cursor. * * If more than 64 bits are requested, returns -EINVAL and leave *out unchanged. * * If there are less than the requested number of valid bits left in the * bitstream, still fetches all available bits. * * Returns number of actually fetched bits. */ static inline int bitstream_get_bits(struct bitstream *bs, u64 *out, int bits) { u64 val; unsigned int n; if (bits > 64) return -EINVAL; if (bs->cur.b + ((bs->cur.bit + bs->pad_bits + bits -1) >> 3) - bs->buf >= bs->buf_len) bits = ((bs->buf_len - (bs->cur.b - bs->buf)) << 3) - bs->cur.bit - bs->pad_bits; if (bits == 0) { *out = 0; return 0; } /* get the high bits */ val = 0; n = (bs->cur.bit + bits + 7) >> 3; /* n may be at most 9, if cur.bit + bits > 64 */ /* which means this copies at most 8 byte */ if (n) { memcpy(&val, bs->cur.b+1, n - 1); val = le64_to_cpu(val) << (8 - bs->cur.bit); } /* we still need the low bits */ val |= bs->cur.b[0] >> bs->cur.bit; /* and mask out bits we don't want */ val &= ~0ULL >> (64 - bits); bitstream_cursor_advance(&bs->cur, bits); *out = val; return bits; } /* encodes @in as vli into @bs; * return values * > 0: number of bits successfully stored in bitstream * -ENOBUFS @bs is full * -EINVAL input zero (invalid) * -EOVERFLOW input too large for this vli code (invalid) */ static inline int vli_encode_bits(struct bitstream *bs, u64 in) { u64 code = code; int bits = __vli_encode_bits(&code, in); if (bits <= 0) return bits; return bitstream_put_bits(bs, code, bits); } #endif