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| 1 /* |
| 2 * |
| 3 * Copyright 2015, Google Inc. |
| 4 * All rights reserved. |
| 5 * |
| 6 * Redistribution and use in source and binary forms, with or without |
| 7 * modification, are permitted provided that the following conditions are |
| 8 * met: |
| 9 * |
| 10 * * Redistributions of source code must retain the above copyright |
| 11 * notice, this list of conditions and the following disclaimer. |
| 12 * * Redistributions in binary form must reproduce the above |
| 13 * copyright notice, this list of conditions and the following disclaimer |
| 14 * in the documentation and/or other materials provided with the |
| 15 * distribution. |
| 16 * * Neither the name of Google Inc. nor the names of its |
| 17 * contributors may be used to endorse or promote products derived from |
| 18 * this software without specific prior written permission. |
| 19 * |
| 20 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
| 21 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
| 22 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR |
| 23 * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT |
| 24 * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, |
| 25 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT |
| 26 * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
| 27 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY |
| 28 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
| 29 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE |
| 30 * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
| 31 * |
| 32 */ |
| 33 |
| 34 #include <grpc/support/histogram.h> |
| 35 |
| 36 #include <math.h> |
| 37 #include <stddef.h> |
| 38 #include <string.h> |
| 39 |
| 40 #include <grpc/support/alloc.h> |
| 41 #include <grpc/support/port_platform.h> |
| 42 #include <grpc/support/log.h> |
| 43 #include <grpc/support/useful.h> |
| 44 |
| 45 /* Histograms are stored with exponentially increasing bucket sizes. |
| 46 The first bucket is [0, m) where m = 1 + resolution |
| 47 Bucket n (n>=1) contains [m**n, m**(n+1)) |
| 48 There are sufficient buckets to reach max_bucket_start */ |
| 49 |
| 50 struct gpr_histogram { |
| 51 /* Sum of all values seen so far */ |
| 52 double sum; |
| 53 /* Sum of squares of all values seen so far */ |
| 54 double sum_of_squares; |
| 55 /* number of values seen so far */ |
| 56 double count; |
| 57 /* m in the description */ |
| 58 double multiplier; |
| 59 double one_on_log_multiplier; |
| 60 /* minimum value seen */ |
| 61 double min_seen; |
| 62 /* maximum value seen */ |
| 63 double max_seen; |
| 64 /* maximum representable value */ |
| 65 double max_possible; |
| 66 /* number of buckets */ |
| 67 size_t num_buckets; |
| 68 /* the buckets themselves */ |
| 69 uint32_t *buckets; |
| 70 }; |
| 71 |
| 72 /* determine a bucket index given a value - does no bounds checking */ |
| 73 static size_t bucket_for_unchecked(gpr_histogram *h, double x) { |
| 74 return (size_t)(log(x) * h->one_on_log_multiplier); |
| 75 } |
| 76 |
| 77 /* bounds checked version of the above */ |
| 78 static size_t bucket_for(gpr_histogram *h, double x) { |
| 79 size_t bucket = bucket_for_unchecked(h, GPR_CLAMP(x, 1.0, h->max_possible)); |
| 80 GPR_ASSERT(bucket < h->num_buckets); |
| 81 return bucket; |
| 82 } |
| 83 |
| 84 /* at what value does a bucket start? */ |
| 85 static double bucket_start(gpr_histogram *h, double x) { |
| 86 return pow(h->multiplier, x); |
| 87 } |
| 88 |
| 89 gpr_histogram *gpr_histogram_create(double resolution, |
| 90 double max_bucket_start) { |
| 91 gpr_histogram *h = gpr_malloc(sizeof(gpr_histogram)); |
| 92 GPR_ASSERT(resolution > 0.0); |
| 93 GPR_ASSERT(max_bucket_start > resolution); |
| 94 h->sum = 0.0; |
| 95 h->sum_of_squares = 0.0; |
| 96 h->multiplier = 1.0 + resolution; |
| 97 h->one_on_log_multiplier = 1.0 / log(1.0 + resolution); |
| 98 h->max_possible = max_bucket_start; |
| 99 h->count = 0.0; |
| 100 h->min_seen = max_bucket_start; |
| 101 h->max_seen = 0.0; |
| 102 h->num_buckets = bucket_for_unchecked(h, max_bucket_start) + 1; |
| 103 GPR_ASSERT(h->num_buckets > 1); |
| 104 GPR_ASSERT(h->num_buckets < 100000000); |
| 105 h->buckets = gpr_malloc(sizeof(uint32_t) * h->num_buckets); |
| 106 memset(h->buckets, 0, sizeof(uint32_t) * h->num_buckets); |
| 107 return h; |
| 108 } |
| 109 |
| 110 void gpr_histogram_destroy(gpr_histogram *h) { |
| 111 gpr_free(h->buckets); |
| 112 gpr_free(h); |
| 113 } |
| 114 |
| 115 void gpr_histogram_add(gpr_histogram *h, double x) { |
| 116 h->sum += x; |
| 117 h->sum_of_squares += x * x; |
| 118 h->count++; |
| 119 if (x < h->min_seen) { |
| 120 h->min_seen = x; |
| 121 } |
| 122 if (x > h->max_seen) { |
| 123 h->max_seen = x; |
| 124 } |
| 125 h->buckets[bucket_for(h, x)]++; |
| 126 } |
| 127 |
| 128 int gpr_histogram_merge(gpr_histogram *dst, const gpr_histogram *src) { |
| 129 if ((dst->num_buckets != src->num_buckets) || |
| 130 (dst->multiplier != src->multiplier)) { |
| 131 /* Fail because these histograms don't match */ |
| 132 return 0; |
| 133 } |
| 134 gpr_histogram_merge_contents(dst, src->buckets, src->num_buckets, |
| 135 src->min_seen, src->max_seen, src->sum, |
| 136 src->sum_of_squares, src->count); |
| 137 return 1; |
| 138 } |
| 139 |
| 140 void gpr_histogram_merge_contents(gpr_histogram *dst, const uint32_t *data, |
| 141 size_t data_count, double min_seen, |
| 142 double max_seen, double sum, |
| 143 double sum_of_squares, double count) { |
| 144 size_t i; |
| 145 GPR_ASSERT(dst->num_buckets == data_count); |
| 146 dst->sum += sum; |
| 147 dst->sum_of_squares += sum_of_squares; |
| 148 dst->count += count; |
| 149 if (min_seen < dst->min_seen) { |
| 150 dst->min_seen = min_seen; |
| 151 } |
| 152 if (max_seen > dst->max_seen) { |
| 153 dst->max_seen = max_seen; |
| 154 } |
| 155 for (i = 0; i < dst->num_buckets; i++) { |
| 156 dst->buckets[i] += data[i]; |
| 157 } |
| 158 } |
| 159 |
| 160 static double threshold_for_count_below(gpr_histogram *h, double count_below) { |
| 161 double count_so_far; |
| 162 double lower_bound; |
| 163 double upper_bound; |
| 164 size_t lower_idx; |
| 165 size_t upper_idx; |
| 166 |
| 167 if (h->count == 0) { |
| 168 return 0.0; |
| 169 } |
| 170 |
| 171 if (count_below <= 0) { |
| 172 return h->min_seen; |
| 173 } |
| 174 if (count_below >= h->count) { |
| 175 return h->max_seen; |
| 176 } |
| 177 |
| 178 /* find the lowest bucket that gets us above count_below */ |
| 179 count_so_far = 0.0; |
| 180 for (lower_idx = 0; lower_idx < h->num_buckets; lower_idx++) { |
| 181 count_so_far += h->buckets[lower_idx]; |
| 182 if (count_so_far >= count_below) { |
| 183 break; |
| 184 } |
| 185 } |
| 186 if (count_so_far == count_below) { |
| 187 /* this bucket hits the threshold exactly... we should be midway through |
| 188 any run of zero values following the bucket */ |
| 189 for (upper_idx = lower_idx + 1; upper_idx < h->num_buckets; upper_idx++) { |
| 190 if (h->buckets[upper_idx]) { |
| 191 break; |
| 192 } |
| 193 } |
| 194 return (bucket_start(h, (double)lower_idx) + |
| 195 bucket_start(h, (double)upper_idx)) / |
| 196 2.0; |
| 197 } else { |
| 198 /* treat values as uniform throughout the bucket, and find where this value |
| 199 should lie */ |
| 200 lower_bound = bucket_start(h, (double)lower_idx); |
| 201 upper_bound = bucket_start(h, (double)(lower_idx + 1)); |
| 202 return GPR_CLAMP(upper_bound - |
| 203 (upper_bound - lower_bound) * |
| 204 (count_so_far - count_below) / |
| 205 h->buckets[lower_idx], |
| 206 h->min_seen, h->max_seen); |
| 207 } |
| 208 } |
| 209 |
| 210 double gpr_histogram_percentile(gpr_histogram *h, double percentile) { |
| 211 return threshold_for_count_below(h, h->count * percentile / 100.0); |
| 212 } |
| 213 |
| 214 double gpr_histogram_mean(gpr_histogram *h) { |
| 215 GPR_ASSERT(h->count != 0); |
| 216 return h->sum / h->count; |
| 217 } |
| 218 |
| 219 double gpr_histogram_stddev(gpr_histogram *h) { |
| 220 return sqrt(gpr_histogram_variance(h)); |
| 221 } |
| 222 |
| 223 double gpr_histogram_variance(gpr_histogram *h) { |
| 224 if (h->count == 0) return 0.0; |
| 225 return (h->sum_of_squares * h->count - h->sum * h->sum) / |
| 226 (h->count * h->count); |
| 227 } |
| 228 |
| 229 double gpr_histogram_maximum(gpr_histogram *h) { return h->max_seen; } |
| 230 |
| 231 double gpr_histogram_minimum(gpr_histogram *h) { return h->min_seen; } |
| 232 |
| 233 double gpr_histogram_count(gpr_histogram *h) { return h->count; } |
| 234 |
| 235 double gpr_histogram_sum(gpr_histogram *h) { return h->sum; } |
| 236 |
| 237 double gpr_histogram_sum_of_squares(gpr_histogram *h) { |
| 238 return h->sum_of_squares; |
| 239 } |
| 240 |
| 241 const uint32_t *gpr_histogram_get_contents(gpr_histogram *h, size_t *size) { |
| 242 *size = h->num_buckets; |
| 243 return h->buckets; |
| 244 } |
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