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      1 /*
      2  * Generate/analyze pareto/zipf distributions to better understand
      3  * what an access pattern would look like.
      4  *
      5  * For instance, the following would generate a zipf distribution
      6  * with theta 1.2, using 100,000 values and split the reporting into
      7  * 20 buckets:
      8  *
      9  *	t/genzipf zipf 1.2 100000 20
     10  *
     11  * Only the distribution type (zipf or pareto) and spread input need
     12  * to be given, if not given defaults are used.
     13  *
     14  */
     15 #include <stdio.h>
     16 #include <stdlib.h>
     17 #include <fcntl.h>
     18 #include <string.h>
     19 #include <unistd.h>
     20 
     21 #include "../lib/zipf.h"
     22 #include "../flist.h"
     23 #include "../hash.h"
     24 
     25 #define DEF_NR		1000000
     26 #define DEF_NR_OUTPUT	23
     27 
     28 struct node {
     29 	struct flist_head list;
     30 	unsigned long long val;
     31 	unsigned long hits;
     32 };
     33 
     34 static struct flist_head *hash;
     35 static unsigned long hash_bits = 24;
     36 static unsigned long hash_size = 1 << 24;
     37 
     38 enum {
     39 	TYPE_NONE = 0,
     40 	TYPE_ZIPF,
     41 	TYPE_PARETO,
     42 };
     43 static const char *dist_types[] = { "None", "Zipf", "Pareto" };
     44 
     45 static int dist_type = TYPE_ZIPF;
     46 static unsigned long gb_size = 500;
     47 static unsigned long block_size = 4096;
     48 static unsigned long output_nranges = DEF_NR_OUTPUT;
     49 static double percentage;
     50 static double dist_val;
     51 static int output_csv = 0;
     52 
     53 #define DEF_ZIPF_VAL	1.2
     54 #define DEF_PARETO_VAL	0.3
     55 
     56 static struct node *hash_lookup(unsigned long long val)
     57 {
     58 	struct flist_head *l = &hash[hash_long(val, hash_bits)];
     59 	struct flist_head *entry;
     60 	struct node *n;
     61 
     62 	flist_for_each(entry, l) {
     63 		n = flist_entry(entry, struct node, list);
     64 		if (n->val == val)
     65 			return n;
     66 	}
     67 
     68 	return NULL;
     69 }
     70 
     71 static struct node *hash_insert(struct node *n, unsigned long long val)
     72 {
     73 	struct flist_head *l = &hash[hash_long(val, hash_bits)];
     74 
     75 	n->val = val;
     76 	n->hits = 1;
     77 	flist_add_tail(&n->list, l);
     78 	return n;
     79 }
     80 
     81 static void usage(void)
     82 {
     83 	printf("genzipf: test zipf/pareto values for fio input\n");
     84 	printf("\t-h\tThis help screen\n");
     85 	printf("\t-p\tGenerate size of data set that are hit by this percentage\n");
     86 	printf("\t-t\tDistribution type (zipf or pareto)\n");
     87 	printf("\t-i\tDistribution algorithm input (zipf theta or pareto power)\n");
     88 	printf("\t-b\tBlock size of a given range (in bytes)\n");
     89 	printf("\t-g\tSize of data set (in gigabytes)\n");
     90 	printf("\t-o\tNumber of output columns\n");
     91 	printf("\t-c\tOutput ranges in CSV format\n");
     92 }
     93 
     94 static int parse_options(int argc, char *argv[])
     95 {
     96 	const char *optstring = "t:g:i:o:b:p:ch";
     97 	int c, dist_val_set = 0;
     98 
     99 	while ((c = getopt(argc, argv, optstring)) != -1) {
    100 		switch (c) {
    101 		case 'h':
    102 			usage();
    103 			return 1;
    104 		case 'p':
    105 			percentage = atof(optarg);
    106 			break;
    107 		case 'b':
    108 			block_size = strtoul(optarg, NULL, 10);
    109 			break;
    110 		case 't':
    111 			if (!strncmp(optarg, "zipf", 4))
    112 				dist_type = TYPE_ZIPF;
    113 			else if (!strncmp(optarg, "pareto", 6))
    114 				dist_type = TYPE_PARETO;
    115 			else {
    116 				printf("wrong dist type: %s\n", optarg);
    117 				return 1;
    118 			}
    119 			break;
    120 		case 'g':
    121 			gb_size = strtoul(optarg, NULL, 10);
    122 			break;
    123 		case 'i':
    124 			dist_val = atof(optarg);
    125 			dist_val_set = 1;
    126 			break;
    127 		case 'o':
    128 			output_nranges = strtoul(optarg, NULL, 10);
    129 			break;
    130 		case 'c':
    131 			output_csv = 1;
    132 			break;
    133 		default:
    134 			printf("bad option %c\n", c);
    135 			return 1;
    136 		}
    137 	}
    138 
    139 	if (dist_type == TYPE_PARETO) {
    140 		if ((dist_val >= 1.00 || dist_val < 0.00)) {
    141 			printf("pareto input must be > 0.00 and < 1.00\n");
    142 			return 1;
    143 		}
    144 		if (!dist_val_set)
    145 			dist_val = DEF_PARETO_VAL;
    146 	} else if (dist_type == TYPE_ZIPF) {
    147 		if (dist_val == 1.0) {
    148 			printf("zipf input must be different than 1.0\n");
    149 			return 1;
    150 		}
    151 		if (!dist_val_set)
    152 			dist_val = DEF_ZIPF_VAL;
    153 	}
    154 
    155 	return 0;
    156 }
    157 
    158 struct output_sum {
    159 	double output;
    160 	unsigned int nranges;
    161 };
    162 
    163 static int node_cmp(const void *p1, const void *p2)
    164 {
    165 	const struct node *n1 = p1;
    166 	const struct node *n2 = p2;
    167 
    168 	return n2->hits - n1->hits;
    169 }
    170 
    171 int main(int argc, char *argv[])
    172 {
    173 	unsigned long offset;
    174 	unsigned long i, j, k, nr_vals, cur_vals, interval, total_vals, nnodes;
    175 	unsigned long long nranges;
    176 	struct output_sum *output_sums;
    177 	struct node *nodes;
    178 	double perc, perc_i;
    179 	struct zipf_state zs;
    180 
    181 	if (parse_options(argc, argv))
    182 		return 1;
    183 
    184 	if( !output_csv )
    185 		printf("Generating %s distribution with %f input and %lu GB size and %lu block_size.\n", dist_types[dist_type], dist_val, gb_size, block_size);
    186 
    187 	nranges = gb_size * 1024 * 1024 * 1024ULL;
    188 	nranges /= block_size;
    189 
    190 	if (dist_type == TYPE_ZIPF)
    191 		zipf_init(&zs, nranges, dist_val, 1);
    192 	else
    193 		pareto_init(&zs, nranges, dist_val, 1);
    194 
    195 	hash_bits = 0;
    196 	hash_size = nranges;
    197 	while ((hash_size >>= 1) != 0)
    198 		hash_bits++;
    199 
    200 	hash_size = 1 << hash_bits;
    201 
    202 	hash = malloc(hash_size * sizeof(struct flist_head));
    203 	for (i = 0; i < hash_size; i++)
    204 		INIT_FLIST_HEAD(&hash[i]);
    205 
    206 	nodes = malloc(nranges * sizeof(struct node));
    207 
    208 	for (nr_vals = i = j = 0; i < nranges; i++) {
    209 		struct node *n;
    210 
    211 		if (dist_type == TYPE_ZIPF)
    212 			offset = zipf_next(&zs);
    213 		else
    214 			offset = pareto_next(&zs);
    215 
    216 		n = hash_lookup(offset);
    217 		if (n)
    218 			n->hits++;
    219 		else {
    220 			hash_insert(&nodes[j], offset);
    221 			j++;
    222 		}
    223 
    224 		nr_vals++;
    225 	}
    226 
    227 	qsort(nodes, j, sizeof(struct node), node_cmp);
    228 	nnodes = j;
    229 	nr_vals = nnodes;
    230 
    231 	if (output_csv) {
    232 		printf("rank, count\n");
    233 		for (k = 0; k < nnodes; k++)
    234 			printf("%lu, %lu\n", k, nodes[k].hits);
    235 	} else {
    236 		interval = (nr_vals + output_nranges - 1) / output_nranges;
    237 
    238 		output_sums = malloc(output_nranges * sizeof(struct output_sum));
    239 		for (i = 0; i < output_nranges; i++) {
    240 			output_sums[i].output = 0.0;
    241 			output_sums[i].nranges = 1;
    242 		}
    243 
    244 		total_vals = i = j = cur_vals = 0;
    245 
    246 		for (k = 0; k < nnodes; k++) {
    247 			struct output_sum *os = &output_sums[j];
    248 			struct node *node = &nodes[k];
    249 
    250 			if (i >= interval) {
    251 				os->output =
    252 				    (double)(cur_vals + 1) / (double)nranges;
    253 				os->output *= 100.0;
    254 				j++;
    255 				cur_vals = node->hits;
    256 				interval +=
    257 				    (nr_vals + output_nranges -
    258 				     1) / output_nranges;
    259 			} else {
    260 				cur_vals += node->hits;
    261 				os->nranges += node->hits;
    262 			}
    263 
    264 			i++;
    265 			total_vals += node->hits;
    266 
    267 			if (percentage) {
    268 				unsigned long blocks =
    269 				    percentage * nranges / 100;
    270 
    271 				if (total_vals >= blocks) {
    272 					double cs =
    273 					    i * block_size / (1024 * 1024);
    274 					char p = 'M';
    275 
    276 					if (cs > 1024.0) {
    277 						cs /= 1024.0;
    278 						p = 'G';
    279 					}
    280 					if (cs > 1024.0) {
    281 						cs /= 1024.0;
    282 						p = 'T';
    283 					}
    284 
    285 					printf("%.2f%% of hits satisfied in %.3f%cB of cache\n", percentage, cs, p);
    286 					percentage = 0.0;
    287 				}
    288 			}
    289 		}
    290 
    291 		perc_i = 100.0 / (double)output_nranges;
    292 		perc = 0.0;
    293 
    294 		printf("\n   Rows           Hits           No Hits         Size\n");
    295 		printf("--------------------------------------------------------\n");
    296 		for (i = 0; i < j; i++) {
    297 			struct output_sum *os = &output_sums[i];
    298 			double gb = (double)os->nranges * block_size / 1024.0;
    299 			char p = 'K';
    300 
    301 			if (gb > 1024.0) {
    302 				p = 'M';
    303 				gb /= 1024.0;
    304 			}
    305 			if (gb > 1024.0) {
    306 				p = 'G';
    307 				gb /= 1024.0;
    308 			}
    309 
    310 			perc += perc_i;
    311 			printf("%s %6.2f%%\t%6.2f%%\t\t%8u\t%6.2f%c\n",
    312 			       i ? "|->" : "Top", perc, os->output, os->nranges,
    313 			       gb, p);
    314 		}
    315 
    316 		free(output_sums);
    317 	}
    318 
    319 	free(hash);
    320 	free(nodes);
    321 	return 0;
    322 }
    323