1 /*-------------------------------------------------------------------------
2  *
3  * tsm_system_time.c
4  *	  support routines for SYSTEM_TIME tablesample method
5  *
6  * The desire here is to produce a random sample with as many rows as possible
7  * in no more than the specified amount of time.  We use a block-sampling
8  * approach.  To ensure that the whole relation will be visited if necessary,
9  * we start at a randomly chosen block and then advance with a stride that
10  * is randomly chosen but is relatively prime to the relation's nblocks.
11  *
12  * Because of the time dependence, this method is necessarily unrepeatable.
13  * However, we do what we can to reduce surprising behavior by selecting
14  * the sampling pattern just once per query, much as in tsm_system_rows.
15  *
16  * Portions Copyright (c) 1996-2016, PostgreSQL Global Development Group
17  * Portions Copyright (c) 1994, Regents of the University of California
18  *
19  * IDENTIFICATION
20  *	  contrib/tsm_system_time/tsm_system_time.c
21  *
22  *-------------------------------------------------------------------------
23  */
24 
25 #include "postgres.h"
26 
27 #ifdef _MSC_VER
28 #include <float.h>				/* for _isnan */
29 #endif
30 #include <math.h>
31 
32 #include "access/relscan.h"
33 #include "access/tsmapi.h"
34 #include "catalog/pg_type.h"
35 #include "miscadmin.h"
36 #include "optimizer/clauses.h"
37 #include "optimizer/cost.h"
38 #include "utils/sampling.h"
39 #include "utils/spccache.h"
40 
41 PG_MODULE_MAGIC;
42 
43 PG_FUNCTION_INFO_V1(tsm_system_time_handler);
44 
45 
46 /* Private state */
47 typedef struct
48 {
49 	uint32		seed;			/* random seed */
50 	double		millis;			/* time limit for sampling */
51 	instr_time	start_time;		/* scan start time */
52 	OffsetNumber lt;			/* last tuple returned from current block */
53 	BlockNumber doneblocks;		/* number of already-scanned blocks */
54 	BlockNumber lb;				/* last block visited */
55 	/* these three values are not changed during a rescan: */
56 	BlockNumber nblocks;		/* number of blocks in relation */
57 	BlockNumber firstblock;		/* first block to sample from */
58 	BlockNumber step;			/* step size, or 0 if not set yet */
59 } SystemTimeSamplerData;
60 
61 static void system_time_samplescangetsamplesize(PlannerInfo *root,
62 									RelOptInfo *baserel,
63 									List *paramexprs,
64 									BlockNumber *pages,
65 									double *tuples);
66 static void system_time_initsamplescan(SampleScanState *node,
67 						   int eflags);
68 static void system_time_beginsamplescan(SampleScanState *node,
69 							Datum *params,
70 							int nparams,
71 							uint32 seed);
72 static BlockNumber system_time_nextsampleblock(SampleScanState *node);
73 static OffsetNumber system_time_nextsampletuple(SampleScanState *node,
74 							BlockNumber blockno,
75 							OffsetNumber maxoffset);
76 static uint32 random_relative_prime(uint32 n, SamplerRandomState randstate);
77 
78 
79 /*
80  * Create a TsmRoutine descriptor for the SYSTEM_TIME method.
81  */
82 Datum
tsm_system_time_handler(PG_FUNCTION_ARGS)83 tsm_system_time_handler(PG_FUNCTION_ARGS)
84 {
85 	TsmRoutine *tsm = makeNode(TsmRoutine);
86 
87 	tsm->parameterTypes = list_make1_oid(FLOAT8OID);
88 
89 	/* See notes at head of file */
90 	tsm->repeatable_across_queries = false;
91 	tsm->repeatable_across_scans = false;
92 
93 	tsm->SampleScanGetSampleSize = system_time_samplescangetsamplesize;
94 	tsm->InitSampleScan = system_time_initsamplescan;
95 	tsm->BeginSampleScan = system_time_beginsamplescan;
96 	tsm->NextSampleBlock = system_time_nextsampleblock;
97 	tsm->NextSampleTuple = system_time_nextsampletuple;
98 	tsm->EndSampleScan = NULL;
99 
100 	PG_RETURN_POINTER(tsm);
101 }
102 
103 /*
104  * Sample size estimation.
105  */
106 static void
system_time_samplescangetsamplesize(PlannerInfo * root,RelOptInfo * baserel,List * paramexprs,BlockNumber * pages,double * tuples)107 system_time_samplescangetsamplesize(PlannerInfo *root,
108 									RelOptInfo *baserel,
109 									List *paramexprs,
110 									BlockNumber *pages,
111 									double *tuples)
112 {
113 	Node	   *limitnode;
114 	double		millis;
115 	double		spc_random_page_cost;
116 	double		npages;
117 	double		ntuples;
118 
119 	/* Try to extract an estimate for the limit time spec */
120 	limitnode = (Node *) linitial(paramexprs);
121 	limitnode = estimate_expression_value(root, limitnode);
122 
123 	if (IsA(limitnode, Const) &&
124 		!((Const *) limitnode)->constisnull)
125 	{
126 		millis = DatumGetFloat8(((Const *) limitnode)->constvalue);
127 		if (millis < 0 || isnan(millis))
128 		{
129 			/* Default millis if the value is bogus */
130 			millis = 1000;
131 		}
132 	}
133 	else
134 	{
135 		/* Default millis if we didn't obtain a non-null Const */
136 		millis = 1000;
137 	}
138 
139 	/* Get the planner's idea of cost per page read */
140 	get_tablespace_page_costs(baserel->reltablespace,
141 							  &spc_random_page_cost,
142 							  NULL);
143 
144 	/*
145 	 * Estimate the number of pages we can read by assuming that the cost
146 	 * figure is expressed in milliseconds.  This is completely, unmistakably
147 	 * bogus, but we have to do something to produce an estimate and there's
148 	 * no better answer.
149 	 */
150 	if (spc_random_page_cost > 0)
151 		npages = millis / spc_random_page_cost;
152 	else
153 		npages = millis;		/* even more bogus, but whatcha gonna do? */
154 
155 	/* Clamp to sane value */
156 	npages = clamp_row_est(Min((double) baserel->pages, npages));
157 
158 	if (baserel->tuples > 0 && baserel->pages > 0)
159 	{
160 		/* Estimate number of tuples returned based on tuple density */
161 		double		density = baserel->tuples / (double) baserel->pages;
162 
163 		ntuples = npages * density;
164 	}
165 	else
166 	{
167 		/* For lack of data, assume one tuple per page */
168 		ntuples = npages;
169 	}
170 
171 	/* Clamp to the estimated relation size */
172 	ntuples = clamp_row_est(Min(baserel->tuples, ntuples));
173 
174 	*pages = npages;
175 	*tuples = ntuples;
176 }
177 
178 /*
179  * Initialize during executor setup.
180  */
181 static void
system_time_initsamplescan(SampleScanState * node,int eflags)182 system_time_initsamplescan(SampleScanState *node, int eflags)
183 {
184 	node->tsm_state = palloc0(sizeof(SystemTimeSamplerData));
185 	/* Note the above leaves tsm_state->step equal to zero */
186 }
187 
188 /*
189  * Examine parameters and prepare for a sample scan.
190  */
191 static void
system_time_beginsamplescan(SampleScanState * node,Datum * params,int nparams,uint32 seed)192 system_time_beginsamplescan(SampleScanState *node,
193 							Datum *params,
194 							int nparams,
195 							uint32 seed)
196 {
197 	SystemTimeSamplerData *sampler = (SystemTimeSamplerData *) node->tsm_state;
198 	double		millis = DatumGetFloat8(params[0]);
199 
200 	if (millis < 0 || isnan(millis))
201 		ereport(ERROR,
202 				(errcode(ERRCODE_INVALID_TABLESAMPLE_ARGUMENT),
203 				 errmsg("sample collection time must not be negative")));
204 
205 	sampler->seed = seed;
206 	sampler->millis = millis;
207 	sampler->lt = InvalidOffsetNumber;
208 	sampler->doneblocks = 0;
209 	/* start_time, lb will be initialized during first NextSampleBlock call */
210 	/* we intentionally do not change nblocks/firstblock/step here */
211 }
212 
213 /*
214  * Select next block to sample.
215  *
216  * Uses linear probing algorithm for picking next block.
217  */
218 static BlockNumber
system_time_nextsampleblock(SampleScanState * node)219 system_time_nextsampleblock(SampleScanState *node)
220 {
221 	SystemTimeSamplerData *sampler = (SystemTimeSamplerData *) node->tsm_state;
222 	HeapScanDesc scan = node->ss.ss_currentScanDesc;
223 	instr_time	cur_time;
224 
225 	/* First call within scan? */
226 	if (sampler->doneblocks == 0)
227 	{
228 		/* First scan within query? */
229 		if (sampler->step == 0)
230 		{
231 			/* Initialize now that we have scan descriptor */
232 			SamplerRandomState randstate;
233 
234 			/* If relation is empty, there's nothing to scan */
235 			if (scan->rs_nblocks == 0)
236 				return InvalidBlockNumber;
237 
238 			/* We only need an RNG during this setup step */
239 			sampler_random_init_state(sampler->seed, randstate);
240 
241 			/* Compute nblocks/firstblock/step only once per query */
242 			sampler->nblocks = scan->rs_nblocks;
243 
244 			/* Choose random starting block within the relation */
245 			/* (Actually this is the predecessor of the first block visited) */
246 			sampler->firstblock = sampler_random_fract(randstate) *
247 				sampler->nblocks;
248 
249 			/* Find relative prime as step size for linear probing */
250 			sampler->step = random_relative_prime(sampler->nblocks, randstate);
251 		}
252 
253 		/* Reinitialize lb and start_time */
254 		sampler->lb = sampler->firstblock;
255 		INSTR_TIME_SET_CURRENT(sampler->start_time);
256 	}
257 
258 	/* If we've read all blocks in relation, we're done */
259 	if (++sampler->doneblocks > sampler->nblocks)
260 		return InvalidBlockNumber;
261 
262 	/* If we've used up all the allotted time, we're done */
263 	INSTR_TIME_SET_CURRENT(cur_time);
264 	INSTR_TIME_SUBTRACT(cur_time, sampler->start_time);
265 	if (INSTR_TIME_GET_MILLISEC(cur_time) >= sampler->millis)
266 		return InvalidBlockNumber;
267 
268 	/*
269 	 * It's probably impossible for scan->rs_nblocks to decrease between scans
270 	 * within a query; but just in case, loop until we select a block number
271 	 * less than scan->rs_nblocks.  We don't care if scan->rs_nblocks has
272 	 * increased since the first scan.
273 	 */
274 	do
275 	{
276 		/* Advance lb, using uint64 arithmetic to forestall overflow */
277 		sampler->lb = ((uint64) sampler->lb + sampler->step) % sampler->nblocks;
278 	} while (sampler->lb >= scan->rs_nblocks);
279 
280 	return sampler->lb;
281 }
282 
283 /*
284  * Select next sampled tuple in current block.
285  *
286  * In block sampling, we just want to sample all the tuples in each selected
287  * block.
288  *
289  * When we reach end of the block, return InvalidOffsetNumber which tells
290  * SampleScan to go to next block.
291  */
292 static OffsetNumber
system_time_nextsampletuple(SampleScanState * node,BlockNumber blockno,OffsetNumber maxoffset)293 system_time_nextsampletuple(SampleScanState *node,
294 							BlockNumber blockno,
295 							OffsetNumber maxoffset)
296 {
297 	SystemTimeSamplerData *sampler = (SystemTimeSamplerData *) node->tsm_state;
298 	OffsetNumber tupoffset = sampler->lt;
299 
300 	/* Advance to next possible offset on page */
301 	if (tupoffset == InvalidOffsetNumber)
302 		tupoffset = FirstOffsetNumber;
303 	else
304 		tupoffset++;
305 
306 	/* Done? */
307 	if (tupoffset > maxoffset)
308 		tupoffset = InvalidOffsetNumber;
309 
310 	sampler->lt = tupoffset;
311 
312 	return tupoffset;
313 }
314 
315 /*
316  * Compute greatest common divisor of two uint32's.
317  */
318 static uint32
gcd(uint32 a,uint32 b)319 gcd(uint32 a, uint32 b)
320 {
321 	uint32		c;
322 
323 	while (a != 0)
324 	{
325 		c = a;
326 		a = b % a;
327 		b = c;
328 	}
329 
330 	return b;
331 }
332 
333 /*
334  * Pick a random value less than and relatively prime to n, if possible
335  * (else return 1).
336  */
337 static uint32
random_relative_prime(uint32 n,SamplerRandomState randstate)338 random_relative_prime(uint32 n, SamplerRandomState randstate)
339 {
340 	uint32		r;
341 
342 	/* Safety check to avoid infinite loop or zero result for small n. */
343 	if (n <= 1)
344 		return 1;
345 
346 	/*
347 	 * This should only take 2 or 3 iterations as the probability of 2 numbers
348 	 * being relatively prime is ~61%; but just in case, we'll include a
349 	 * CHECK_FOR_INTERRUPTS in the loop.
350 	 */
351 	do
352 	{
353 		CHECK_FOR_INTERRUPTS();
354 		r = (uint32) (sampler_random_fract(randstate) * n);
355 	} while (r == 0 || gcd(r, n) > 1);
356 
357 	return r;
358 }
359