(2014/03/09 1:49), Fabien COELHO wrote:
Hello Mitsumasa-san,
New "\setrandom" interface is here.
\setrandom var min max [gaussian threshold | exponential threshold]
Attached patch realizes this interface, but it has little bit ugly codeing in
executeStatement() and process_commands()..
I think it is not too bad. The "ignore extra arguments on the line" is a little
pre-existing mess anyway.
All right.
What do you think?
I'm okay with this UI and its implementation.
OK.
Attached patch is updated in the document. I don't like complex sentence,
so I use <para> tag a lot. If you like this documents, please mark ready for
commiter.
Regards,
--
Mitsumasa KONDO
NTT Open Source Software Center
*** a/contrib/pgbench/pgbench.c
--- b/contrib/pgbench/pgbench.c
***************
*** 98,103 **** static int pthread_join(pthread_t th, void **thread_return);
--- 98,106 ----
#define LOG_STEP_SECONDS 5 /* seconds between log messages */
#define DEFAULT_NXACTS 10 /* default nxacts */
+ #define MIN_GAUSSIAN_THRESHOLD 2.0 /* minimum threshold for gauss */
+ #define MIN_EXPONENTIAL_THRESHOLD 2.0 /* minimum threshold for exp */
+
int nxacts = 0; /* number of transactions per client */
int duration = 0; /* duration in seconds */
***************
*** 169,174 **** bool is_connect; /* establish connection for each transaction */
--- 172,185 ----
bool is_latencies; /* report per-command latencies */
int main_pid; /* main process id used in log filename */
+ /* gaussian distribution tests: */
+ double stdev_threshold; /* standard deviation threshold */
+ bool use_gaussian = false;
+
+ /* exponential distribution tests: */
+ double exp_threshold; /* threshold for exponential */
+ bool use_exponential = false;
+
char *pghost = "";
char *pgport = "";
char *login = NULL;
***************
*** 330,335 **** static char *select_only = {
--- 341,428 ----
"SELECT abalance FROM pgbench_accounts WHERE aid = :aid;\n"
};
+ /* --exponential case */
+ static char *exponential_tpc_b = {
+ "\\set nbranches " CppAsString2(nbranches) " * :scale\n"
+ "\\set ntellers " CppAsString2(ntellers) " * :scale\n"
+ "\\set naccounts " CppAsString2(naccounts) " * :scale\n"
+ "\\setrandom aid 1 :naccounts exponential :exp_threshold\n"
+ "\\setrandom bid 1 :nbranches\n"
+ "\\setrandom tid 1 :ntellers\n"
+ "\\setrandom delta -5000 5000\n"
+ "BEGIN;\n"
+ "UPDATE pgbench_accounts SET abalance = abalance + :delta WHERE aid = :aid;\n"
+ "SELECT abalance FROM pgbench_accounts WHERE aid = :aid;\n"
+ "UPDATE pgbench_tellers SET tbalance = tbalance + :delta WHERE tid = :tid;\n"
+ "UPDATE pgbench_branches SET bbalance = bbalance + :delta WHERE bid = :bid;\n"
+ "INSERT INTO pgbench_history (tid, bid, aid, delta, mtime) VALUES (:tid, :bid, :aid, :delta, CURRENT_TIMESTAMP);\n"
+ "END;\n"
+ };
+
+ /* --exponential with -N case */
+ static char *exponential_simple_update = {
+ "\\set nbranches " CppAsString2(nbranches) " * :scale\n"
+ "\\set ntellers " CppAsString2(ntellers) " * :scale\n"
+ "\\set naccounts " CppAsString2(naccounts) " * :scale\n"
+ "\\setrandom aid 1 :naccounts exponential :exp_threshold\n"
+ "\\setrandom bid 1 :nbranches\n"
+ "\\setrandom tid 1 :ntellers\n"
+ "\\setrandom delta -5000 5000\n"
+ "BEGIN;\n"
+ "UPDATE pgbench_accounts SET abalance = abalance + :delta WHERE aid = :aid;\n"
+ "SELECT abalance FROM pgbench_accounts WHERE aid = :aid;\n"
+ "INSERT INTO pgbench_history (tid, bid, aid, delta, mtime) VALUES (:tid, :bid, :aid, :delta, CURRENT_TIMESTAMP);\n"
+ "END;\n"
+ };
+
+ /* --exponential with -S case */
+ static char *exponential_select_only = {
+ "\\set naccounts " CppAsString2(naccounts) " * :scale\n"
+ "\\setrandom aid 1 :naccounts exponential :exp_threshold\n"
+ "SELECT abalance FROM pgbench_accounts WHERE aid = :aid;\n"
+ };
+
+ /* --gaussian case */
+ static char *gaussian_tpc_b = {
+ "\\set nbranches " CppAsString2(nbranches) " * :scale\n"
+ "\\set ntellers " CppAsString2(ntellers) " * :scale\n"
+ "\\set naccounts " CppAsString2(naccounts) " * :scale\n"
+ "\\setrandom aid 1 :naccounts gaussian :stdev_threshold\n"
+ "\\setrandom bid 1 :nbranches\n"
+ "\\setrandom tid 1 :ntellers\n"
+ "\\setrandom delta -5000 5000\n"
+ "BEGIN;\n"
+ "UPDATE pgbench_accounts SET abalance = abalance + :delta WHERE aid = :aid;\n"
+ "SELECT abalance FROM pgbench_accounts WHERE aid = :aid;\n"
+ "UPDATE pgbench_tellers SET tbalance = tbalance + :delta WHERE tid = :tid;\n"
+ "UPDATE pgbench_branches SET bbalance = bbalance + :delta WHERE bid = :bid;\n"
+ "INSERT INTO pgbench_history (tid, bid, aid, delta, mtime) VALUES (:tid, :bid, :aid, :delta, CURRENT_TIMESTAMP);\n"
+ "END;\n"
+ };
+
+ /* --gaussian with -N case */
+ static char *gaussian_simple_update = {
+ "\\set nbranches " CppAsString2(nbranches) " * :scale\n"
+ "\\set ntellers " CppAsString2(ntellers) " * :scale\n"
+ "\\set naccounts " CppAsString2(naccounts) " * :scale\n"
+ "\\setrandom aid 1 :naccounts gaussian :stdev_threshold\n"
+ "\\setrandom bid 1 :nbranches\n"
+ "\\setrandom tid 1 :ntellers\n"
+ "\\setrandom delta -5000 5000\n"
+ "BEGIN;\n"
+ "UPDATE pgbench_accounts SET abalance = abalance + :delta WHERE aid = :aid;\n"
+ "SELECT abalance FROM pgbench_accounts WHERE aid = :aid;\n"
+ "INSERT INTO pgbench_history (tid, bid, aid, delta, mtime) VALUES (:tid, :bid, :aid, :delta, CURRENT_TIMESTAMP);\n"
+ "END;\n"
+ };
+
+ /* --gaussian with -S case */
+ static char *gaussian_select_only = {
+ "\\set naccounts " CppAsString2(naccounts) " * :scale\n"
+ "\\setrandom aid 1 :naccounts gaussian :stdev_threshold\n"
+ "SELECT abalance FROM pgbench_accounts WHERE aid = :aid;\n"
+ };
+
/* Function prototypes */
static void setalarm(int seconds);
static void *threadRun(void *arg);
***************
*** 373,378 **** usage(void)
--- 466,473 ----
" -v, --vacuum-all vacuum all four standard tables before tests\n"
" --aggregate-interval=NUM aggregate data over NUM seconds\n"
" --sampling-rate=NUM fraction of transactions to log (e.g. 0.01 for 1%%)\n"
+ " --exponential=NUM exponential distribution with NUM threshold parameter\n"
+ " --gaussian=NUM gaussian distribution with NUM standard deviation threshold\n"
"\nCommon options:\n"
" -d, --debug print debugging output\n"
" -h, --host=HOSTNAME database server host or socket directory\n"
***************
*** 469,474 **** getrand(TState *thread, int64 min, int64 max)
--- 564,642 ----
return min + (int64) ((max - min + 1) * pg_erand48(thread->random_state));
}
+ /* random number generator: exponential distribution from min to max inclusive */
+ static int64
+ getExponentialrand(TState *thread, int64 min, int64 max, double exp_threshold)
+ {
+ double rand;
+
+ /*
+ * Get user specified random number in this loop. This loop is executed until
+ * the number in the expected range. As the minimum threshold is 2.0, the
+ * probability of a retry is at worst 13.5% as - ln(0.135) ~ 2.0 ;
+ * For a 5.0 threshold, it is about e^{-5} ~ 0.7%.
+ */
+ do
+ {
+ /* as pg_erand48 is in [0, 1), uniform is in (0, 1] */
+ double uniform = 1.0 - pg_erand48(thread->random_state);
+ /* rand is in [0 LARGE) */
+ rand = - log(uniform);
+ } while (rand >= exp_threshold);
+
+ /* rand in [0, exp_threshold), normalized to [0,1) */
+ rand /= exp_threshold;
+
+ /* return int64 random number within between min and max */
+ return min + (int64)((max - min + 1) * rand);
+ }
+
+ /* random number generator: gaussian distribution from min to max inclusive */
+ static int64
+ getGaussianrand(TState *thread, int64 min, int64 max, double stdev_threshold)
+ {
+ double stdev;
+ double rand;
+
+ /*
+ * Get user specified random number from this loop, with
+ * -stdev_threshold < stdev <= stdev_threshold
+ *
+ * This loop is executed until the number is in the expected range.
+ *
+ * As the minimum threshold is 2.0, the probability of looping is low:
+ * sqrt(-2 ln(r)) <= 2 => r >= e^{-2} ~ 0.135, then when taking the average
+ * sinus multiplier as 2/pi, we have a 8.6% looping probability in the
+ * worst case. For a 5.0 threshold value, the looping proability
+ * is about e^{-5} * 2 / pi ~ 0.43%.
+ */
+ do
+ {
+ /*
+ * pg_erand48 generates [0,1), but for the basic version of the
+ * Box-Muller transform the two uniformly distributed random numbers
+ * are expected in (0, 1] (see http://en.wikipedia.org/wiki/Box_muller)
+ */
+ double rand1 = 1.0 - pg_erand48(thread->random_state);
+ double rand2 = 1.0 - pg_erand48(thread->random_state);
+
+ /* Box-Muller basic form transform */
+ double var_sqrt = sqrt(-2.0 * log(rand1));
+ stdev = var_sqrt * sin(2.0 * M_PI * rand2);
+
+ /* we may try with cos, but there may be a bias induced if the previous
+ * value fails the test? To be on the safe side, let us try over.
+ */
+ }
+ while (stdev < -stdev_threshold || stdev >= stdev_threshold);
+
+ /* stdev is in [-threshold, threshold), normalization to [0,1) */
+ rand = (stdev + stdev_threshold) / (stdev_threshold * 2.0);
+
+ /* return int64 random number within between min and max */
+ return min + (int64)((max - min + 1) * rand);
+ }
+
/* call PQexec() and exit() on failure */
static void
executeStatement(PGconn *con, const char *sql)
***************
*** 1312,1317 **** top:
--- 1480,1486 ----
char *var;
int64 min,
max;
+ double threshold = 0;
char res[64];
if (*argv[2] == ':')
***************
*** 1357,1367 **** top:
}
/*
! * getrand() needs to be able to subtract max from min and add one
! * to the result without overflowing. Since we know max > min, we
! * can detect overflow just by checking for a negative result. But
! * we must check both that the subtraction doesn't overflow, and
! * that adding one to the result doesn't overflow either.
*/
if (max - min < 0 || (max - min) + 1 < 0)
{
--- 1526,1536 ----
}
/*
! * Generate random number functions need to be able to subtract
! * max from min and add one to the result without overflowing.
! * Since we know max > min, we can detect overflow just by checking
! * for a negative result. But we must check both that the subtraction
! * doesn't overflow, and that adding one to the result doesn't overflow either.
*/
if (max - min < 0 || (max - min) + 1 < 0)
{
***************
*** 1370,1379 **** top:
return true;
}
#ifdef DEBUG
! printf("min: " INT64_FORMAT " max: " INT64_FORMAT " random: " INT64_FORMAT "\n", min, max, getrand(thread, min, max));
#endif
! snprintf(res, sizeof(res), INT64_FORMAT, getrand(thread, min, max));
if (!putVariable(st, argv[0], argv[1], res))
{
--- 1539,1601 ----
return true;
}
+ if (argc == 4) /* uniform */
+ {
#ifdef DEBUG
! printf("min: " INT64_FORMAT " max: " INT64_FORMAT " random: " INT64_FORMAT "\n", min, max, getrand(thread, min, max));
#endif
! snprintf(res, sizeof(res), INT64_FORMAT, getrand(thread, min, max));
! }
! else if ((pg_strcasecmp(argv[4], "gaussian") == 0) ||
! (pg_strcasecmp(argv[4], "exponential") == 0))
! {
! if (*argv[5] == ':')
! {
! if ((var = getVariable(st, argv[5] + 1)) == NULL)
! {
! fprintf(stderr, "%s: invalid threshold number %s\n", argv[0], argv[5]);
! st->ecnt++;
! return true;
! }
! threshold = strtod(var, NULL);
! }
! else
! threshold = strtod(argv[5], NULL);
!
! if (pg_strcasecmp(argv[4], "gaussian") == 0)
! {
! if (threshold < MIN_GAUSSIAN_THRESHOLD)
! {
! fprintf(stderr, "%s: gaussian threshold must be more than %f\n,", argv[5], MIN_GAUSSIAN_THRESHOLD);
! st->ecnt++;
! return true;
! }
! #ifdef DEBUG
! printf("min: " INT64_FORMAT " max: " INT64_FORMAT " random: " INT64_FORMAT "\n", min, max, getGaussianrand(thread, min, max, threshold));
! #endif
! snprintf(res, sizeof(res), INT64_FORMAT, getGaussianrand(thread, min, max, threshold));
! }
! else if (pg_strcasecmp(argv[4], "exponential") == 0)
! {
! if (threshold < MIN_EXPONENTIAL_THRESHOLD)
! {
! fprintf(stderr, "%s: exponential threshold must be more than %f\n,", argv[5], MIN_EXPONENTIAL_THRESHOLD);
! st->ecnt++;
! return true;
! }
! #ifdef DEBUG
! printf("min: " INT64_FORMAT " max: " INT64_FORMAT " random: " INT64_FORMAT "\n", min, max, getExponentialrand(thread, min, max, threshold));
! #endif
! snprintf(res, sizeof(res), INT64_FORMAT, getExponentialrand(thread, min, max, threshold));
! }
! }
! else /* uniform with extra arguments */
! {
! #ifdef DEBUG
! printf("min: " INT64_FORMAT " max: " INT64_FORMAT " random: " INT64_FORMAT "\n", min, max, getrand(thread, min, max));
! #endif
! snprintf(res, sizeof(res), INT64_FORMAT, getrand(thread, min, max));
! }
if (!putVariable(st, argv[0], argv[1], res))
{
***************
*** 1903,1911 **** process_commands(char *buf)
exit(1);
}
! for (j = 4; j < my_commands->argc; j++)
! fprintf(stderr, "%s: extra argument \"%s\" ignored\n",
! my_commands->argv[0], my_commands->argv[j]);
}
else if (pg_strcasecmp(my_commands->argv[0], "set") == 0)
{
--- 2125,2153 ----
exit(1);
}
! if (my_commands->argc == 4) /* uniform */
! {
! /* nothing to do */
! }
! else if ((pg_strcasecmp(my_commands->argv[4], "gaussian") == 0) ||
! (pg_strcasecmp(my_commands->argv[4], "exponential") == 0))
! {
! if (my_commands->argc < 6)
! {
! fprintf(stderr, "%s(%s): missing argument\n", my_commands->argv[0], my_commands->argv[4]);
! exit(1);
! }
!
! for (j = 6; j < my_commands->argc; j++)
! fprintf(stderr, "%s(%s): extra argument \"%s\" ignored\n",
! my_commands->argv[0], my_commands->argv[4], my_commands->argv[j]);
! }
! else /* uniform with extra argument */
! {
! for (j = 4; j < my_commands->argc; j++)
! fprintf(stderr, "%s(uniform): extra argument \"%s\" ignored\n",
! my_commands->argv[0], my_commands->argv[j]);
! }
}
else if (pg_strcasecmp(my_commands->argv[0], "set") == 0)
{
***************
*** 2180,2195 **** printResults(int ttype, int normal_xacts, int nclients,
(INSTR_TIME_GET_DOUBLE(conn_total_time) / nthreads));
if (ttype == 0)
! s = "TPC-B (sort of)";
else if (ttype == 2)
! s = "Update only pgbench_accounts";
else if (ttype == 1)
! s = "SELECT only";
else
s = "Custom query";
printf("transaction type: %s\n", s);
printf("scaling factor: %d\n", scale);
printf("query mode: %s\n", QUERYMODE[querymode]);
printf("number of clients: %d\n", nclients);
printf("number of threads: %d\n", nthreads);
--- 2422,2478 ----
(INSTR_TIME_GET_DOUBLE(conn_total_time) / nthreads));
if (ttype == 0)
! {
! if (use_gaussian)
! s = "Gaussian distribution TPC-B (sort of)";
! else if (use_exponential)
! s = "Exponential distribution TPC-B (sort of)";
! else
! s = "TPC-B (sort of)";
! }
else if (ttype == 2)
! {
! if (use_gaussian)
! s = "Gaussian distribution update only pgbench_accounts";
! else if (use_exponential)
! s = "Exponential distribution update only pgbench_accounts";
! else
! s = "Update only pgbench_accounts";
! }
else if (ttype == 1)
! {
! if (use_gaussian)
! s = "Gaussian distribution SELECT only";
! else if (use_exponential)
! s = "Exponential distribution SELECT only";
! else
! s = "SELECT only";
! }
else
s = "Custom query";
printf("transaction type: %s\n", s);
printf("scaling factor: %d\n", scale);
+
+ /* output in gaussian distribution benchmark */
+ if (use_gaussian)
+ {
+ printf("standard deviation threshold: %.5f\n", stdev_threshold);
+ printf("access probability of top 20%%, 10%% and 5%% records: %.5f %.5f %.5f\n",
+ (double) ((erf (stdev_threshold * 0.2 / sqrt(2.0))) / (erf (stdev_threshold / sqrt(2.0)))),
+ (double) ((erf (stdev_threshold * 0.1 / sqrt(2.0))) / (erf (stdev_threshold / sqrt(2.0)))),
+ (double) ((erf (stdev_threshold * 0.05 / sqrt(2.0))) / (erf (stdev_threshold / sqrt(2.0)))));
+ }
+ /* output in exponential distribution benchmark */
+ else if (use_exponential)
+ {
+ printf("exponential threshold: %.5f\n", exp_threshold);
+ printf("access probability of top 20%%, 10%% and 5%% records: %.5f %.5f %.5f\n",
+ (double) (-exp(-exp_threshold * 0.2) + 1),
+ (double) (-exp(-exp_threshold * 0.1) + 1),
+ (double) (-exp(-exp_threshold * 0.05) + 1));
+ }
+
printf("query mode: %s\n", QUERYMODE[querymode]);
printf("number of clients: %d\n", nclients);
printf("number of threads: %d\n", nthreads);
***************
*** 2319,2324 **** main(int argc, char **argv)
--- 2602,2609 ----
{"unlogged-tables", no_argument, &unlogged_tables, 1},
{"sampling-rate", required_argument, NULL, 4},
{"aggregate-interval", required_argument, NULL, 5},
+ {"gaussian", required_argument, NULL, 6},
+ {"exponential", required_argument, NULL, 7},
{"rate", required_argument, NULL, 'R'},
{NULL, 0, NULL, 0}
};
***************
*** 2598,2605 **** main(int argc, char **argv)
}
#endif
break;
default:
! fprintf(stderr, _("Try \"%s --help\" for more information.\n"), progname);
exit(1);
break;
}
--- 2883,2910 ----
}
#endif
break;
+ case 6:
+ use_gaussian = true;
+ stdev_threshold = atof(optarg);
+ if(stdev_threshold < MIN_GAUSSIAN_THRESHOLD)
+ {
+ fprintf(stderr, "--gaussian=NUM must be more than %f: %f\n",
+ MIN_GAUSSIAN_THRESHOLD, stdev_threshold);
+ exit(1);
+ }
+ break;
+ case 7:
+ use_exponential = true;
+ exp_threshold = atof(optarg);
+ if(exp_threshold < MIN_EXPONENTIAL_THRESHOLD)
+ {
+ fprintf(stderr, "--exponential=NUM must be more than %f: %f\n",
+ MIN_EXPONENTIAL_THRESHOLD, exp_threshold);
+ exit(1);
+ }
+ break;
default:
! fprintf(stderr, _("Try \"%s --help\" for more information.\n"), progname);
exit(1);
break;
}
***************
*** 2795,2800 **** main(int argc, char **argv)
--- 3100,3127 ----
}
}
+ /* set :stdev_threshold variable */
+ if(getVariable(&state[0], "stdev_threshold") == NULL)
+ {
+ snprintf(val, sizeof(val), "%lf", stdev_threshold);
+ for (i = 0; i < nclients; i++)
+ {
+ if (!putVariable(&state[i], "startup", "stdev_threshold", val))
+ exit(1);
+ }
+ }
+
+ /* set :exp_threshold variable */
+ if(getVariable(&state[0], "exp_threshold") == NULL)
+ {
+ snprintf(val, sizeof(val), "%lf", exp_threshold);
+ for (i = 0; i < nclients; i++)
+ {
+ if (!putVariable(&state[i], "startup", "exp_threshold", val))
+ exit(1);
+ }
+ }
+
if (!is_no_vacuum)
{
fprintf(stderr, "starting vacuum...");
***************
*** 2820,2836 **** main(int argc, char **argv)
switch (ttype)
{
case 0:
! sql_files[0] = process_builtin(tpc_b);
num_files = 1;
break;
case 1:
! sql_files[0] = process_builtin(select_only);
num_files = 1;
break;
case 2:
! sql_files[0] = process_builtin(simple_update);
num_files = 1;
break;
--- 3147,3178 ----
switch (ttype)
{
case 0:
! if (use_gaussian)
! sql_files[0] = process_builtin(gaussian_tpc_b);
! else if (use_exponential)
! sql_files[0] = process_builtin(exponential_tpc_b);
! else
! sql_files[0] = process_builtin(tpc_b);
num_files = 1;
break;
case 1:
! if (use_gaussian)
! sql_files[0] = process_builtin(gaussian_select_only);
! else if (use_exponential)
! sql_files[0] = process_builtin(exponential_select_only);
! else
! sql_files[0] = process_builtin(select_only);
num_files = 1;
break;
case 2:
! if (use_gaussian)
! sql_files[0] = process_builtin(gaussian_simple_update);
! else if (use_exponential)
! sql_files[0] = process_builtin(exponential_simple_update);
! else
! sql_files[0] = process_builtin(simple_update);
num_files = 1;
break;
*** a/doc/src/sgml/pgbench.sgml
--- b/doc/src/sgml/pgbench.sgml
***************
*** 307,312 **** pgbench <optional> <replaceable>options</> </optional> <replaceable>dbname</>
--- 307,328 ----
</varlistentry>
<varlistentry>
+ <term><option>--exponential</option><replaceable>deviation threshold</></term>
+ <listitem>
+ <para>
+ Deviation threshold for the exponential distribution pgbench test.
+ This threshold controls the distribution of accesses on the
+ <structname>pgbench_accounts</> table.
+ The larger the deviation threshold, the more records at the beginning
+ are accessed. The smaller the deviation threshold, the smoother the access
+ pattern distribution. The deviation threshold must be more than 2 for
+ internal performance. When set, this option applies to all test variants
+ (<option>-N</> for skipping updates, or <option>-S</> for selects).
+ </para>
+ </listitem>
+ </varlistentry>
+
+ <varlistentry>
<term><option>-f</option> <replaceable>filename</></term>
<term><option>--file=</option><replaceable>filename</></term>
<listitem>
***************
*** 320,325 **** pgbench <optional> <replaceable>options</> </optional> <replaceable>dbname</>
--- 336,357 ----
</varlistentry>
<varlistentry>
+ <term><option>--gaussian</option><replaceable>standard deviation threshold</></term>
+ <listitem>
+ <para>
+ Deviation threshold for the Gaussian distribution pgbench test.
+ This threshold controls the distribution of accesses on the
+ <structname>pgbench_accounts</> table.
+ The larger the deviation threshold, the more records in the middle of the table
+ are accessed. The smaller the deviation threshold, the smoother the access
+ pattern distribution. The deviation threshold must be more than 2 for
+ internal performance. When set, this option applies to all test variants
+ (<option>-N</> for skipping updates, or <option>-S</> for selects).
+ </para>
+ </listitem>
+ </varlistentry>
+
+ <varlistentry>
<term><option>-j</option> <replaceable>threads</></term>
<term><option>--jobs=</option><replaceable>threads</></term>
<listitem>
***************
*** 748,755 **** pgbench <optional> <replaceable>options</> </optional> <replaceable>dbname</>
<varlistentry>
<term>
! <literal>\setrandom <replaceable>varname</> <replaceable>min</> <replaceable>max</></literal>
! </term>
<listitem>
<para>
--- 780,787 ----
<varlistentry>
<term>
! <literal>\setrandom <replaceable>varname</> <replaceable>min</> <replaceable>max</> [ { gaussian | exponential } <replaceable>threshold</> ]</literal>
! </term>
<listitem>
<para>
***************
*** 761,769 **** pgbench <optional> <replaceable>options</> </optional> <replaceable>dbname</>
</para>
<para>
Example:
<programlisting>
! \setrandom aid 1 :naccounts
</programlisting></para>
</listitem>
</varlistentry>
--- 793,823 ----
</para>
<para>
+ Moreover, set gaussian or exponential with threshold interger value,
+ we can get gaussian or exponential random in integer value between
+ <replaceable>min</> and <replaceable>max</> bounds inclusive.
+ The threshold controls the distribution pattern. Without these options,
+ we can get uniform random in interger value between <replaceable>min</>
+ and <replaceable>max</> bounds inclusive.
+ </para>
+
+ <para>
+ In gaussian option, the larger the threshold, the more frequent values
+ close to the middle of the interval are drawn. The threshold is
+ the deviation for the <replaceable>min</> and <replaceable>max</> bounds.
+ The minimum threshold is 2.0, for performance.
+ </para>
+
+ <para>
+ In exponential option, the deviation, threshold controls the distribution
+ pattern: the larger the deviation threshold, the more frequent values
+ close to <replaceable>min</> are drawn. The minimum threshold is 2.0, for performance.
+ </para>
+
+ <para>
Example:
<programlisting>
! \setrandom aid 1 :naccounts gaussian 5
</programlisting></para>
</listitem>
</varlistentry>
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