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| -rw-r--r-- | drivers/block/drbd/drbd_vli.h | 339 |
1 files changed, 339 insertions, 0 deletions
diff --git a/drivers/block/drbd/drbd_vli.h b/drivers/block/drbd/drbd_vli.h new file mode 100644 index 000000000..01e3babc5 --- /dev/null +++ b/drivers/block/drbd/drbd_vli.h @@ -0,0 +1,339 @@ +/* SPDX-License-Identifier: GPL-2.0-or-later */ +/* +-*- 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 <philipp.reisner@linbit.com>. + Copyright (C) 2002-2008, Lars Ellenberg <lars.ellenberg@linbit.com>. + + */ + +#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 transferred 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 |