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store
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searched without branches
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A fold whose kind has PURE_FOLD_SLICED (128), and a walk whose argument
has PURE_EACH_SLICED (bit 0), first take two numbers, a low and a high
key, and run for the items of their list (keyed by a number) whose keys
are from low up to before high, found by key: the range is the program's
meaning, not an optimization, so their blocks may fault (items out of the
slice never run). A fold a leaf at a time now leaves out the lanes of a
leaf outside the items it runs for, and a leaf that would fault runs item
by item over those items alone. Slices are neither shaped nor given
automatic ranges.
ranges now checks a count over a slice whose test divides (a division by
zero failing it only when inside the slice) against a model, the same on
the item-by-item path, and a walk over a slice.
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A filter, a fold or a walk's where (a test at the start of its block and a
jump to its end when it fails) that ANDs comparisons of a keyed list's key
with values reading no item gets a range at load (PureRange: a lower bound
GT or GE, an upper LT or LE, EQ both). When it runs, the bounds are found
once and looked up by key, and only the leaves between the two positions
are read: O(log n + k) where it read every item. A filter leaves the items
out of range out anyway, so it always may; a fold or a walk only when the
rest of its test and its value cannot fault (no division, sum or product
that may overflow, key or item that may be missing), since the items it
skips would have run them; a walk's bounds must also read no state, local
or list its block writes, as the where reads them anew for every item.
A bound that faults leaves the test to run for every item, as written.
A fold of kind 5 (distinct) counts the different values its included
items give (-0 as 0), with a set per fold; it runs a leaf at a time and
is never shaped. max, min and first alone fault over no item.
ranges checks, against the same module reading every item, over 60 lists
of up to 400 keyed items and 3,600 views: a count between two bounds, a sum
between a lower and an upper bound with another condition, first equal to
a key, min with the bound on the right, a count whose test may fault (no
range), a filtered table in bounds, 359 walks changing and removing the
items in bounds, and a walk whose body moves its bound (no range).
lane_folds now makes distinct folds too.
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LOCAL_LOAD and LOCAL_STORE name one of an event's 64 slots, what it holds
(a number, or an index of a list) and that list: slots start at 0 when an
event begins, are shared by its handlers, the walks in them and the folds
in those, and are never saved nor in the states' namespace. A handler uses
a slot for one thing, so its type is verified as a state's is; views have
no locals (IN_LOCALS: a handler's block, a walk in it, a fold in either;
stores only in a handler and its walks). A fold reading a local still runs
a leaf at a time (one value for every item) and a shaped fold takes one
only on its key's side. The signature table's where widens to 16 bits.
locals checks a handler that sums items into a local in a walk, counts in
a fold the items below it, keeps an index in a local and reads it back,
over 80 events against a model, and five refusals. server_rows' shop now
takes stock through an index local and counts in one.
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An input of the new kind 6 holds the arguments a view takes: fields as a
message has, no handler, the view's number where a key input names its
key, and the view's name with .args after it; one set a view, never a
column's (a table's columns and filter read the table's). The view, its
columns and filter, and the folds in them read their arguments with
FIELD, verified as a handler reads its message (IN_ARGUMENTS: reads, no
reply or document), and a fold anywhere may now read the message or
arguments of the block it is in: a handler's count(a in accounts where
a.bid == pay.bid) verifies.
pure_app_arguments gives a view's arguments as a payload of their shape
(placed as a message's fields); the view shows nothing until they are
given, and a filtered table keeps its rows for the arguments they were
made for. A text argument a view shows stays in the caller's payload
(FROM_ARGUMENTS), so it outlives the evaluation. A fold reading a number
argument still runs a leaf at a time (the same value for every item), and
a shaped fold takes arguments only on its key's side, so its pass does not
depend on them. Message fields are placed by one function for messages
and arguments.
view_arguments checks a keyed lookup by argument, a count above an
argument for 43 values against a model, a text argument shown back as it
is, a table filtered by an argument whose column folds with it (rows kept
per arguments), a handler's fold over its message, and five refusals.
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A rows field's JSON value is an array of objects naming the record's
fields (numbers, strings; a field left out takes its default). The
connection thread encodes them as the list's stored form, which may be
longer than the JSON, grows the request's input by that much
(pure_runtime_grow: charged to the payload budget as admission charges an
input, 503 payload_budget when it does not fit) and places them after the
body, so the owner still applies a message it need not parse. A message
whose only variable field is rows takes a body that is not JSON as those
rows in their stored form: a bulk insert without JSON. An API's answer
(--reply) gives rows the same way. A delivered batch holds no rows.
server_rows loads 30,000 stock rows in one JSON request (some 250,000
rows a second, against 6,500 with a request a row) and 20,000 more as
bytes, refuses a load with a key already there whole (409 exists), then
checks 400 random orders against a model (294 applied, 106 refused with
none of their rows applied), texts with escapes and Korean, a walk that
removes, and a restart that keeps every state and no rows.
The format's document (008) describes walks, rows fields and lists of
rows, and OUTER_ROW.
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EACH runs the block that follows in a handler once for every item its list
has when it begins, in order, with ROW the item: the block may change
states, the list's items (a field, or removing one) and other lists, but
may not insert into the list it walks, hold another walk or reply, so a
walk runs at most its items times its block. Removing the walked item, or
one before it, moves the walk with it, so no item is skipped. A fold in
the block reads the walked item as OUTER_ROW, as a fold in a column reads
its row. SQL's UPDATE ... WHERE and DELETE ... WHERE are a walk.
A message field may now be rows (type 5, naming a list state): records
laid out as the list's stored form, filling that list, whose flags hold
PURE_LIST_ROWS and whose name is the field's path (order.lines), when the
message arrives; rows that are not whole fail it (limit). A list of rows
is emptied when every event ends, is never saved, and its changes are not
logged for undoing, so a handler walks, folds and counts a message's rows
as any list, and may use one as a scratch table within its event. An
output has no rows. pure_list_clear lets a list's items go.
walks checks a shop against a model over 3,000 random events: orders
whose rows each take stock and are logged, all or nothing (997 applied,
1,322 failed and undone, by an item not stocked or not enough of it), and
a clean that walks the stock removing items (83 while walking, 32 of them
before the walked item). Nine refusals are checked, and 20,000 damaged
walk modules run safely with no rows left after any event; all under
ASan and UBSan too.
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A fold in a table's column runs once per row, over its whole list each
time: per branch, the sum of its accounts read all 100,000 accounts for
every branch, and per rich account, how many are richer read them all for
each of 404 accounts. At load, a planned fold in a column whose test
compares a field of its item with a key the row gives, the rest of it
reading only its list, its item and constants, gets a shape: a group (the
field equals the key) or a rank (a count of items whose field orders
against the key, and nothing else). The app then keeps one pass over the
list per fold and list version: a group pass runs the block a leaf at a
time with the comparison taken as true and the key left out, folding each
item into its field's group; a rank pass radix-sorts the field's values.
A row runs its key alone and looks it up. The pass is made at the second
row that asks, so a fold asked once scans once.
Answers are the fold's own: items join their group in order, so a sum
adds as it would; a key that faults leaves that row to run the fold as
written, and an item that would fault in the pass leaves every row to.
lane_folds now also makes shaped folds (185 groups, 127 ranks, 98 passes
made) and checks them against the same module run item by item.
On the bank of 100,000 accounts: per-branch totals 4.8 ms (16 ms before,
SQLite 46 ms, 14 ms with the index a DBA would add on branch and balance)
and each rich account's rank 6.7 ms (268 ms before, SQLite 2.84 s, 7.6 ms
with an index on balance), HTTP and JSON included on Pure's side. Pure is
given no index.
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A fold ran its block once per item through the interpreter, a call and a
lookup of the item each: counting 100,000 accounts took 4.7 ms and a
per-account rank over them 5.3 s. When every instruction of a fold's
block (or a table's filter) has a lane form, as numbers and indexes with
no branch and no text do, the module marks it at load, and the block
then runs for a leaf's items at once: a value is one per item (a leaf's
column read in place, or computed into a row per stack depth), the
items' positions, or one value for all. Lookups by a value for all items
are made once per fold, not per leaf. Leaves are walked with an iterator
that keeps its path (pure_list_next) and fetches the next leaf ahead.
The lanes only take what the interpreter would compute. Where an item
would fault (division by zero, a non-finite result, a key not found, an
index past the end, a clamp the wrong way round, a fractional move), the
whole leaf runs again item by item, so a fold faults, and a filter leaves
the item out, exactly as before; items join the fold in order, so a sum
adds as it did. lane_folds checks it: 300 rounds of random well-typed
folds in views, in a table's columns reading their row and in a handler
storing them, with a random filter, over random lists, answer bit for bit
as the same module run item by item, 920 faults included by kind and
instruction. list_trees now walks runs too.
On the bank of 100,000 accounts (benchmarks/bank/queries.py), against
the same SQL on SQLite 3.46.1: per-branch totals 16 ms (SQLite 46 ms),
accounts in credit 1.1 ms (6.2 ms), large transfers with their accounts
and tellers 0.77 ms (2.1 ms), each rich account's rank 268 ms (2.85 s),
HTTP and JSON included on Pure's side.
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An item was its own allocation (a share stamp and a cell per field) that
a leaf pointed to, so reading a field of items one after another chased a
pointer to wherever each was made: a count over 100,000 accounts built by
HTTP took 14.5 ms, against 4.6 ms after a restart laid them out in order.
A leaf now holds its items' cells field by field, numbers as binary64
arrays and texts as spans, and pure_list_run gives a leaf's columns to
read item after item.
Copy on write moves to the leaf: a change copies the path including its
leaf, whose texts stay shared; texts carry the share stamp items had, so
one a snapshot may read is retired, not freed. An event's log keeps a
removed item's cells until the event is kept or undone. A node split at
the end of the list leaves the full node full, so lists that grow at
their end (histories, keyed lists filled in key order) fill their leaves.
An account of three numbers and a text now takes 41 bytes in a leaf, not
some 130 across its allocation and the leaf's pointer.
The same count now takes 4.7 ms however the list was built, below
SQLite's 6.1 ms on the same rows. list_trees passes unchanged, and the
app model's tests under ASan and UBSan.
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OUTER_ROW pushes the row of the column a fold's block runs for, as an
index of the column's list; ROW inside the block stays the fold's own
item. The verifier accepts it only in a fold's block inside a column,
naming that column's list (a fold in a handler, a plain view or a filter
has no outer row). So a column can hold a correlated fold: per branch,
the sum of its accounts; per account, how many are richer. aup compiles
the column's row inside a fold to it.
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A list's stored form is one value in the tree store, so the limit on a
document (1.38 MiB, what a host carries whole as an HTTP body) capped a
table at about 51,000 rows of 28 bytes. A value the runtime owns, a state
(a key starting with '.') or a draft without a key, may now grow to 1 GiB;
documents keep their limit. The store's format is unchanged: its trees
already reach far past either.
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A list was one array of item pointers: an item's place in the stored form
was found by adding up the sizes of every item before it, so each change
and each appended row cost O(n); a snapshot copied a changed list's whole
array at each save; and a list held at most 65,536 items. A bank of
30,000 accounts ran transfers at 299 us of CPU each, and set up in time
growing with the square of its rows.
Items now live in a B+tree of fanout 32 whose nodes know the items below
them, their stored bytes and the first of them: positions, keys (keyed
lists) and stored offsets are found in O(log n). Nodes carry the list's
share count when made, as items do: one a snapshot may read never changes,
so a change copies the path to it and retires the nodes it replaced, and
a share is a root and a count. Reads in order go through a finger, each
thread's last leaf. A list may hold 2^24 items.
list_trees checks it against a model array: 6,000 events of inserts,
removals and field changes, 1,195 of them undone, up to 8,983 items (three
levels), the stored form equal byte for byte, four shares kept whole while
the list changes on, and 13,959 keyed items found by key as a binary
search finds them. The app model's tests pass under ASan and UBSan too.
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A message for a document scanned the burst's pending keys with strcmp to
see whether its key was there, and the host scanned the burst's earlier
requests the same way before each one: both quadratic in the burst (64
concurrent reads, about 31 compares each, twice). The app now indexes its
pending documents by key (open addressing over an FNV-1a hash, 1 KiB),
answers pure_app_pending in one look, and the host asks it; whether the
current event's document is pending is a flag instead of a scan by
pointer. Bursts split where they did, except that on an owner, which
applies a round's reads first, an edit of a key read in the same round
now splits the burst at the host rather than the app saving on its own.
A unit test checks the index at 200 keys.
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The app model, the tree store and the HTTP host lived in
prototypes/connections among the earlier document runtime, the store was
known only by its format's name, and Vega compiled six Pure sources by path.
Now, as the README's principle has it:
core/ runtime, flow and the app model (module*.c), with what the core
asks of storage (state.h, store.h)
store/ the tree store (PURETRE3, PUREREC1)
serve/ pure-serve: HTTP host, outbound delivery, JSON in place
cli/ pure-run, pure-edit-module
A top-level make builds libpure.a (app model and store, for hosts to link)
and the hosts; make check runs the store's and the app model's tests. The
earlier runtime still builds from prototypes/connections against core/ and
store/ (check, check-tree and check-core pass). Design 009 records the rule:
parts by role behind libraries; git repositories split by coupling, so the
store stays here while its contract moves with the core, and Vega stays apart.
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