BIT TABLES
design.mps.bt
draft doc
drj 1997-03-04
INTRODUCTION
.readership: Any MPS developer.
.intro: This is the design of the Bit Tables module. A Bit Table is a linear
array of bits. A Bit Table of length n is indexed using an integer from 0 to
(but not including) n. Each bit in a Bit Table can hold either the value 0
(aka FALSE) or 1 (aka TRUE). A variety of operations are provided including:
set, reset, and retrieve, individual bits; set and reset a contiguous range of
bits; search for a contiguous range of reset bits; making a "negative image"
copy of a range.
HISTORY
.history.0-3: The history for versions 0-3 is lost pending possible
reconstruction.
.history.4: Prepared for review. Added full requirements section. Made
notation more consistent throughout. Documented all functions. drj 1999-04-29
DEFINITIONS
.def.set: Set. Used as a verb meaning to assign the value 1 or TRUE to a bit.
Used descriptively to denote a bit containing the value 1. Note 1 and TRUE are
synonyms in MPS C code (see design.mps.type(0).bool.value).
.def.reset: Reset. Used as a verb meaning to assign the value 0 or FALSE to a
bit. Used descriptively to denote a bit containing the value 0. Note 0 and
FALSE are synonyms in MPS C code (see design.mps.type(0).bool.value).
[consider using "fill/empty" or "mark/clear" instead of "set/reset", set/reset
is probably a hangover from drj's z80 hacking days -- drj 1999-04-26]
.def.bt: Bit Table. A Bit Table is a mapping from [0,n) to {0,1} for some n
represented as a linear array of bits. .def.bt.justify: They are called bit
tables because a single bit is used to encode whether the image of a particular
integer under the map is 0 or 1.
.def.range: Range. A contiguous sequence of bits in a Bit Table. Ranges are
typically specified as a base--limit pair where the range includes the position
specified by the base, but excludes that specified by the limit. The
mathematical interval notation for half-open intervals, [base, limit), is used.
REQUIREMENTS
.req.bit: The storage for a Bit Table of n bits shall take no more than a small
constant addition to the storage required for n bits. .req.bit.why: This is so
that clients can make some predictions about how much storage their algorithms
use. A small constant is allowed over the minimal for two reasons: inevitable
implementation overheads (such as only being able to allocate storage in
multiples of 32 bits), extra storage for robustness or speed (such as signature
and length fields).
.req.create: A means to create Bit Tables. .req.create.why: Obvious.
.req.destroy: A means to destroy Bit Tables. .req.destroy.why: Obvious.
.req.ops: The following operations shall be supported:
.req.ops.get: Get. Get the value of a bit at a specified index.
.req.ops.set: Set. Set a bit at a specified index.
.req.ops.reset: Reset. Reset a bit at a specified index.
.req.ops.minimal.why: Get, Set, Reset, are the minimal operations. All
possible mappings can be created and inspected using these operations.
.req.ops.set.range: SetRange. Set a range of bits. .req.ops.set.range.why:
It's expected that clients will often want to set a range of bits; providing
this operation allows the implementation of the BT module to make the operation
efficient.
.req.ops.reset.range: ResetRange. Reset a range of bits.
.req.ops.reset.range.why: as for SetRange, see .req.ops.set.range.why.
.req.ops.test.range.set: IsSetRange. Test whether a range of bits are all
set. .req.ops.test.range.set.why: Mostly for checking. For example, often
clients will know that a range they are about to reset is currently all set,
they can use this operation to assert that fact.
.req.ops.test.range.reset: IsResetRange. Test whether a range of bits are
all reset. .req.ops.test.range.reset.why: As for IsSetRange, see
.req.ops.test.range.set.why.
.req.ops.find: Find a range (which we'll denote [i,j)) of at least L reset
bits that lies in a specified subrange of the entire Bit Table. Various find
operations are required according to the (additional) properties of the
required range:
.req.ops.find.short.low: FindShortResetRange. Of all candidate ranges,
find the range with least j (find the leftmost range that has at least L reset
bits and return just enough of that). .req.ops.find.short.low.why: Required by
client and VM arenas to allocate segments. The arenas implement definite
placement policies (such as lowest addressed segment first) so they need the
lowest (or highest) range that will do. It's not currently useful to allocate
segments larger than the requested size, so finding a short range is
sufficient.
.req.ops.find.short.high: FindShortResetRangeHigh. Of all candidate
ranges, find the range with greatest i (find the rightmost range that has at
least L reset bits and return just enough of that).
.req.ops.find.short.high.why: Required by arenas to implement a specific
segment placement policy (highest addressed segment first).
.req.ops.find.long.low: FindLongResetRange. Of all candidate ranges,
identify the ranges with least i and of those find the one with greatest j
(find the leftmost range that has at least L reset bits and return all of it).
.req.ops.find.long.low.why: Required by the mark and sweep Pool Classes (AMS,
AWL, LO) for allocating objects (filling a buffer). It's more efficient to
fill a buffer with as much memory as is conveniently possible. There's no
strong reason to find the lowest range but it's bound to have some beneficial
(small) cache effect and makes the algorithm more predictable.
.req.ops.find.long.high: FindLongResetRangeHigh. Provided, but not
required, see .non-req.ops.find.long.high.
.req.ops.copy: Copy a range of bits from one Bit Table to another Bit Table .
Various copy operations are required:
.req.ops.copy.simple: Copy a range of bits from one Bit Table to the same
position in another Bit Table. .req.ops.copy.why: Required to support copying
of the tables for the "low" segment during segment merging and splitting, for
pools using tables (e.g. PoolClassAMS).
.req.ops.copy.offset: Copy a range of bits from one Bit Table to an offset
position in another Bit Table. .req.ops.copy.why: Required to support copying
of the tables for the "high" segment during segment merging and splitting, for
pools which support this (currently none, as of 2000-01-17).
.req.ops.copy.invert: Copy a range of bits from one Bit Table to the same
position in another Bit Table inverting all the bits in the target copy.
.req.ops.copy.invert.why: Required by colour manipulation code in PoolClassAMS
and PoolClassLO.
.req.speed: Operations shall take no more than a few memory operations per bit
manipulated. .req.speed.why: Any slower would be gratuitous.
.req.speed.fast: The following operations shall be very fast:
.req.speed.fast.find.short:
FindShortResRange (the operation used to meet .req.ops.find.short.low)
FindShortResRangeHigh (the operation used to meet .req.ops.find.short.high)
.req.speed.fast.find.short.why: These two are used by the client arena
(design.mps.arena.client) and the VM arena (design.mps.arena.vm) for finding
segments in page tables. The operation will be used sufficiently often that
its speed will noticeably affect the overall speed of the MPS. They will be
called with a length equal to the number of pages in a segment. Typical values
of this length depend on the pool classes used and their configuration, but we
can expect length to be small (1 to 16) usually. We can expect the Bit Table
to be populated densely where it is populated at all, that is set bits will
tend to be clustered together in subranges.
.req.speed.fast.find.long:
FindLongResRange (the operation used to meet .req.ops.find.long.low)
.req.speed.fast.find.long.why:
Used in the allocator for PoolClassAWL (design.mps.poolawl(1)), PoolClassAMS
(design.mps.poolams(2)), PoolClassEPVM (design.mps.poolepvm(0)). Of these AWL
and EPVM have speed requirements. For AWL the length of range to be found will
be the length of a Dylan table in words. According to
mail.tony.1999-05-05.11-36(0), only <entry-vector> objects are allocated in AWL
(though not all <entry-vector> objects are allocated in AWL), and the mean
length of an <entry-vector> object is 486 Words. No data for EPVM alas.
.req.speed.fast.other.why: We might expect mark and sweep pools to make use of
Bit Tables, the MPS has general requirements to support efficient mark and
sweep pools, so that imposes general speed requirements on Bit Tables.
NON REQUIREMENTS
The following are not requirements but the current design could support them
with little modification or does support them. Often they used to be
requirements, but are no longer, or were added speculatively or experimentally
but aren't currently used.
.non-req.ops.test.range.same: RangesSame. Test whether two ranges that
occupy the same positions in different Bit Tables are the same. This used to
be required by PoolClassAMS, but is no longer. Currently (1999-05-04) the
functionality still exists.
.non-req.ops.find.long.high: FindLongResetRangeHigh. (see .req.ops.find) Of
all candidate ranges, identify the ranges with greatest j and of those find the
one with least i (find the rightmost range that has at least L reset bits and
return all of it). Provided for symmetry but only currently used by the BT
tests and cbstest.c.
BACKGROUND
.background: Originally Bit Tables were used and implemented by PoolClassLO
(design.mps.poollo). It was decided to lift them out into a separate module
when designing the Pool to manage Dylan Weak Tables which is also a mark and
sweep pool and will make use of Bit Tables (see design.mps.poolawl).
.background.analysis: analysis.mps.bt(0) contains some of the analysis of the
design decisions that were and were not made in this document.
CLIENTS
.clients: Bit Tables are used throughout the MPS but the important uses are: In
the client and VM arenas (design.mps.arena.client(0) and
design.mps.arena.vm(1)) a bit table is used to record whether each page is free
or not; several pool classes (PoolClassLO, PoolClassEPVM, PoolClassAMS) use bit
tables to record which locations are free and also to store colour.
OVERVIEW
.over: Mostly, the design is as simple as possible. The significant
complications are iteration (see .iteration below) and searching (see
.fun.find-res-range below) because both of these are required to be fast.
INTERFACE
.if.representation.abstract: A Bit Table is represented by the type BT.
.if.declare: The module declares a type BT and a prototype for each of the
functions below. The type is declared in impl.h.mpmtypes, the prototypes are
declared in impl.h.mpm. Some of the functions are in fact implemented as
macros in the usual way (doc.mps.ref-man.if-conv(0).macro.std).
.if.general.index: Many of the functions specified below take indexes. If
otherwise unspecified an index must be in the interval [0,n) (note, up to, but
not including, n) where n is the number of bits in the relevant Bit Table (as
passed to the BTCreate function). .if.general.range: Where a range is
specified by two indexes base and limit, base, which specifies the beginning of
the range, must be in the interval [0,n), limit, which specifies the end of the
range, must be in the interval [1,n] (note can be n), and base must be strictly
less than limit (empty ranges are not allowed). Sometimes i and j are used
instead of base and limit.
.if.create:
Res BTCreate(BT *btReturn, Arena arena, Count n)
Attempts to create a table of length n in the arena control pool, putting the
table in '*btReturn'. Returns ResOK if and only if the table is created OK.
The initial values of the bits in the table are undefined (so the client should
probably call BTResRange on the entire range before using the BT). Meets
.req.create.
.if.destroy:
void BTDestroy(BT t, Arena arena, Count n);
Destroys the table t, which must have been created with BTCreate (.if.create).
The value of argument n must be same as the value of the argument passed to
BTCreate. Meets .req.destroy.
.if.size:
size_t BTSize(unsigned long n);
BTSize(n) returns the number of bytes needed for a Bit Table of n bits. It is
a checked error (an assertion will fail) for n to exceed ULONG_MAX -
MPS_WORD_WIDTH + 1. This is used by clients that allocate storage for the BT
themselves. Before BTCreate and BTDestroy were implemented that was the only
way to allocate a Bit Table, but is now deprecated.
.if.get:
int BTGet(BT t, Index i);
BTGet(t, i) returns the ith bit of the table t (i.e. the image of i under the
mapping). Meets .req.ops.get.
.if.set:
void BTSet(BT t, Index i);
BTSet(t, i) sets the ith bit of the table t (to 1). BTGet(t, i) will now
return 1. Meets .req.ops.set.
.if.res:
void BTRes(BT t, Index i);
BTRes(t, i) resets the ith bit of the table t (to 0). BTGet(t, i) will now
return 0. Meets .req.ops.res.
.if.set-range:
void BTSetRange(BT t, Index base, Index limit);
BTSetRange(t, base, limit) sets the range of bits [base, limit) in the table
t. BTGet(t, x) will now return 1 for base<=x<limit. Meets .req.ops.range.set.
.if.res-range:
void BTResRange(BT t, Index base, Index limit);
BTResRange(t, base, limit) resets the range of bits [base, limit) in the table
t. BTGet(t, x) will now return 0 for base<=x<limit. Meets .req.ops.range.res.
.if.test.range.set:
Bool BTIsSetRange(BT bt, Index base, Index limit);
Returns TRUE if all the bits in the range [base, limit) are set, FALSE
otherwise. Meets .req.ops.test.range.set.
.if.test.range.reset:
Bool BTIsResRange(BT bt, Index base, Index limit);
Returns TRUE if all the bits in the range [base, limit) are reset, FALSE
otherwise. Meets .req.ops.test.range.reset.
.if.test.range.same:
Bool BTRangesSame(BT BTx, BT BTy, Index base, Index limit);
returns TRUE if BTGet(BTx,i) equals BTGet(BTy,i) for i in [base, limit), and
false otherwise. Meets .req.ops.test.range.same
.if.find.general: There are four functions (below) to find reset ranges. All
the functions have the same prototype (for symmetry):
Bool find(Index *baseReturn, Index *limitReturn,
BT bt,
Index searchBase, Index searchLimit,
unsigned long length);
bt is the Bit Table in which to search. searchBase and searchLimit specify a
subset of the Bit Table to use, the functions will only find ranges that are
subsets of [searchBase, searchLimit) (when set *baseReturn will never be less
than searchBase and *limitReturn will never be greater than searchLimit).
searchBase, searchLimit specify a range that must conform to the general range
requirements for a range [i,j), as per .if.general.range modified
appropriately. length is the number of contiguous reset bits to find; it must
not be bigger than searchLimit - searchBase (that would be silly). If a
suitable range cannot be found the function returns FALSE (0) and leaves
*baseReturn and *limitReturn untouched. If a suitable range is found then the
function returns the range's base in *baseReturn and its limit in *limitReturn
and returns TRUE (1).
.if.find-short-res-range:
Bool BTFindShortResRange(Index *baseReturn, Index *limitReturn,
BT bt,
Index searchBase, Index searchLimit,
unsigned long length);
BTFindShortResRange(&base, &limit, table, searchBase, searchLimit, length)
finds a range of reset bits in the table, starting at searchBase and working
upwards. This function is intended to meet .req.ops.find.short.low so it will
find the leftmost range that will do, and never finds a range longer than the
requested length (the intention is that it will not waste time looking).
.if.find-short-res-range-high:
Bool BTFindShortResRangeHigh(Index *baseReturn, Index *limitReturn,
BT bt,
Index searchBase, Index searchLimit,
unsigned long length);
BTFindShortResRangeHigh(&base, &limit, table, searchBase, searchLimit, length)
finds a range of reset bits in the table, starting at searchLimit and working
downwards. This function is intended to meet .req.ops.find.short.high so it
will find the rightmost range that will do, and never finds a range longer than
the requested length.
.if.find-long-res-range:
Bool BTFindLongResRange(Index *baseReturn, Index *limitReturn,
BT bt,
Index searchBase, Index searchLimit,
unsigned long length);
BTFindLongResRange(&base, &limit, table, searchBase, searchLimit, length) finds
a range of reset bits in the table, starting at searchBase and working
upwards. This function is intended to meet .req.ops.find.long.low so it will
find the leftmost range that will do and returns all of that range (which can
be longer than the requested length).
.if.find-long-res-range-high:
Bool BTFindLongResRangeHigh(Index *baseReturn, Index *limitReturn,
BT bt,
Index searchBase, Index searchLimit,
unsigned long length);
BTFindLongResRangeHigh(&base, &limit, table, searchBase, searchLimit, length)
finds a range of reset bits in the table, starting at searchLimit and working
downwards. This function is intended to meet .req.ops.find.long.high so it
will find the rightmost range that will do and returns all that range (which
can be longer than the requested length).
.if.copy-range:
extern void BTCopyRange(BT fromBT, BT toBT, Index base, Index limit);
overwrites the ith bit of toBT with the ith bit of fromBT, for all i in [base,
limit). Meets .req.ops.copy.simple.
.if.copy-offset-range:
extern void BTCopyOffsetRange(BT fromBT, BT toBT, Index fromBase, Index
fromLimit, Index toBase, Index toLimit);
overwrites the ith bit of toBT with the jth bit of fromBT, for all i in [toB
ase, toLimit) and corresponding j in [fromBase, fromLimit). Each of these 2
ranges must be the same size. This might be significantly less efficient than
BTCopyRange. Meets .req.ops.copy.offset.
.if.copy-invert-range:
extern void BTCopyInvertRange(BT fromBT, BT toBT, Index base, Index limit);
overwrites the ith bit of toBT with the inverse of the ith bit of fromBT, for
all i in [base, limit). Meets .req.ops.copy.invert.
DETAILED DESIGN
DataStructures
.datastructure: Bit Tables will be represented as (a pointer to) an array of
Words. A plain array is used instead of the more usual design convention of
implementing an ADT as a structure with a signature etc (see
guide.impl.c.adt(0)). .datastructure.words.justify: Words are used as these
will probably map to the object that can be most efficiently accessed on any
particular platform. .datastructure.non-adt.justify: The usual ADT conventions
are not followed because a) The initial designed (drj) was lazy, b) Bit Tables
are more likely to come in convenient powers of two with the extra one or two
words overhead. However, the loss of checking is severe. Perhaps it would be
better to use the usual ADT style.
Functions
.fun.size: BTSize.
Since Bit Tables are an array of Words, the size of a Bit Table of n bits is
simply the number of Words that it takes to store n bits times the number of
bytes in a Word. This is ceiling(n/MPS_WORD_WIDTH)*sizeof(Word).
.fun.size.justify: Since there can be at most MPS_WORD_WIDTH-1 unused bits in
the entire table, this satisfies .req.bit.
.index: The designs for the following functions use a decomposition of a
bit-index, i, into two parts, iw, ib. .index.word: iw is the "word-index"
which is the index into the word array of the word that contains the bit
referred to by the bit-index. iw = i / MPS_WORD_WIDTH. Since MPS_WORD_WIDTH
is a power-of-two, this is the same as iw = i >> MPS_WORD_SHIFT. The latter
expression is used in the code. .index.word.justify: The compiler is more
likely to generate good code without the divide. .index.sub-word: ib is the
"sub-word-index" which is the index of the bit referred to by the bit-index in
the above word. ib = i % MPS_WORD_WIDTH. Since MPS_WORD_WIDTH is a
power-of-two, this is the same as ib = i & ~((Word)-1<<MPS_WORD_SHIFT). The
latter expression is used in the code. .index.sub-word.justify: The compiler
is more likely to generate good code without the modulus.
.index.justify.dubious: The above justifications are dubious; gcc 2.7.2 (with
-O2) running on a sparc (zaphod) produces identical code for the following two
functions:
unsigned long f(unsigned long i)
{ return i/32 + i%32; }
unsigned long g(unsigned long i)
{ return (i>>5) + (i&31); }
.iteration: Many of the following functions involve iteration over ranges in a
Bit Table. This is performed on whole words rather than individual bits,
whenever possible (to improve speed). This is implemented internally by the
macros ACT_ON_RANGE & ACT_ON_RANGE_HIGH for iterating over the range forwards
and backwards respectively. These macros do not form part of the interface of
the module, but are used extensively in the implementation. The macros are
often used even when speed is not an issue because it simplifies the
implementation and makes it more uniform. The iteration macros take the
parameters (base, limit, single_action, bits_action, word_action).
base, limit are of type Index and define the range of the iteration
single_action is the name of a macro which will be used for iterating over
bits in the table individually. This macro must take a single Index parameter
corresponding to the index for the bit. The macro must not use break or
continue because it will be called from within a loop from the expansion of
ACT_ON_RANGE.
bits_action is the name of a macro which will be used for iterating over
part-words. This macro must take parameters (wordIndex, base, limit) where
wordIndex is the index into the array of words, and base & limit define a range
of bits within the indexed word.
word_action is the name of a macro which will be used for iterating over
whole-words. This macro must take the parameter (wordIndex) where wordIndex is
the index of the whole-word in the array. The macro must not use break or
continue because it will be called from within a loop from the expansion of
ACT_ON_RANGE.
.iteration.exit: The code in the single_action, bits_action, and word_action
macros is allowed to use 'return' or 'goto' to terminate the iteration early.
This is used by the test (.fun.test.*) and find (.fun.find.*) operations.
.iteration.small: If the range is sufficiently small only the single_action
macro will be used as this is more efficient in practice. The choice of what
constitutes a small range is made entirely on the basis of experimental
performance results (and currently, 1999-04-27, a "small range" is 6 bits or
fewer. See change.mps.epcore.brisling.160181 for some justification).
Otherwise (for a bigger range) bits_action is used on the part words at either
end of the range (or the whole of the range it if it fits in a single word),
and word_action is used on the words that comprise the inner portion of the
range.
The implementation of ACT_ON_RANGE (and ACT_ON_RANGE_HIGH) is simple enough.
It decides which macros it should invoke and invokes them. single_action and
word_action are invoked inside loops.
.fun.get: BTGet.
The bit-index will be converted in the usual way, see .index. The relevant
Word will be read out of the Bit Table and shifted right by the sub-Word index
(this brings the relevant bit down to the least significant bit of the Word),
the Word will then be masked with 1 producing the answer.
.fun.set: BTSet
.fun.res: BTRes
In both BTSet and BTRes a mask is constructed by shifting 1 left by the
sub-word-index (see .index). For BTSet the mask is ORed into the relevant word
(thereby setting a single bit). For BTRes the mask is inverted and ANDed into
the relevant word (thereby resetting a single bit).
.fun.set-range: BTSetRange
ACT_ON_RANGE (see .iteration above) is used with macros that set a single bit
(using BTSet), set a range of bits in a word, and set a whole word.
.fun.res-range: BTResRange
This is implemented similarly to BTSetRange (.fun.set-range) except using BTRes
& reverse bit masking logic.
.fun.test.range.set: BTIsSetRange
ACT_ON_RANGE (see .iteration above) is used with macros that test whether all
the relevant bits are set; if some of the relevant bits are not set then
'return FALSE' is used to terminate the iteration early and return from the
BTIsSetRange function. If the iteration completes then TRUE is returned.
.fun.test.range.reset: BTIsResRange
As for BTIsSetRange (.fun.test.range.set above) but testing whether the bits
are reset.
.fun.test.range.same: BTRangesSame
As for BTIsSetRange (.fun.test.range.set above) but testing whether
corresponding ranges in the two Bit Tables are the same. Note there are no
speed requirements, but ACT_ON_RANGE is used for simplicitly and uniformity.
.fun.find: The four external find functions (BTFindShortResRange,
BTFindShortResRangeHigh, BTFindLongResRange, BTFindLongResRangeHigh) simply
call through to one of the two internal functions: BTFindResRange,
BTFindResRangeHigh. BTFindResRange and BTFindResRangeHigh both have the
following prototype (with a different name obviously):
Bool BTFindResRange(Index *baseReturn, Index *limitReturn,
BT bt,
Index searchBase, Index searchLimit,
unsigned long minLength,
unsigned long maxLength)
There are two length parameters, one specifying the minimum length of the range
to be found, the other the maximum length. For BTFindShort* maxLength is equal
to minLength when passed; for BTFindLong* maxLength is equal to the maximum
possible range (searchLimit - searchBase).
.fun.find-res-range: BTFindResRange
Iterate within the search boundaries, identifying candidate ranges by searching
for a reset bit. The Boyer-Moore algorithm (reference please?) is used (it's
particularly easy when there are only two symbols, 0 and 1, in the alphabet).
For each candidate range, iterate backwards over the bits from the end of the
range towards the beginning. If a set bit is found, this candidate has failed
and a new candidate range is selected. If when scanning for the set bit a
range of reset bits was found before finding the set bit, then this (small)
range of reset bits is used as the start of the next candidate. Additionally
the end of this small range of reset bits (the end of the failed candidate
range) is remembered so that we don't have to iterate over this range again.
But if no reset bits were found in the candidate range, then iterate again
(starting from the end of the failed candidate) to look for one. If during the
backwards search no set bit is found, then we have found a sufficiently large
range of reset bits; now extend the valid range as far as possible up to the
maximum length by iterating forwards up to the maximum limit looking for a set
bit. The iterations make use of the ACT_ON_RANGE & ACT_ON_RANGE_HIGH macros
using of 'goto' to effect an early termination of the iteration when a
set/reset (as appropriate) bit is found. The macro ACTION_FIND_SET_BIT is used
in the iterations, it efficiently finds the first (that is, with lowest index
or weight) set bit in a word or subword.
.fun.find-res-range.improve: Various other performance improvements have been
suggested in the past, including some from request.epcore.170534. Here is a
list of potential improvements which all sound plausible, but which have not
led to performance improvements in practice:
.fun.find-res-range.improve.step.partial: When the top index in a candidate
range fails, skip partial words as well as whole words, using
e.g. lookup tables.
.fun.find-res-range.improve.lookup: When testing a candidate run,
examine multiple bits at once (e.g. 8), using lookup tables for (e.g)
index of first set bit, index of last set bit, number of reset bits,
length of maximum run of reset bits.
.fun.find-res-range-high: BTFindResRangeHigh
Exactly the same algorithm as in BTFindResRange (see .fun.find-res-range
above), but moving over the table in the opposite direction.
.fun.copy-simple-range: BTCopyRange.
Uses ACT_ON_RANGE (see .iteration above) with the obvious implementation.
Should be fast.
.fun.copy-offset-range: BTCopyOffsetRange.
Uses a simple iteration loop, reading bits with BTGet and setting them with
BTSet. Doesn't use ACT_ON_RANGE because the two ranges will not, in general, be
similarly word-aligned.
.fun.copy-invert-range: BTCopyInvertRange.
Uses ACT_ON_RANGE (see .iteration above) with the obvious implementation.
Should be fast - although there are no speed requirements.
TESTING
.test: The following tests are available / have been used during development.
.test.btcv: MMsrc!btcv.c. This is supposed to be a coverage test, intended to
execute all of the module's code in at least some minimal way.
.test.cbstest: MMsrc!cbstest.c. This was written as a test of the CBS module
(design.mps.cbs(2)). It compares the functional operation of a CBS with that
of a BT so is a good functional test of either module.
.test.mmqa.120: MMQA_test_function!210.c. This is used because it has a fair
amount of segment allocation and freeing so exercises the arena code that uses
Bit Tables.
.test.bttest: MMsrc!bttest.c. This is an interactive test that can be used to
exercise some of the BT functionality by hand.
.test.dylan: It is possible to modify Dylan so that it uses Bit Tables more
extensively. See change.mps.epcore.brisling.160181 TEST1 and TEST2.
| 2002-06-07 | RB | Converted from MMInfo database design document. |
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