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+// Copyright (c) 2011 The LevelDB Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file. See the AUTHORS file for names of contributors.
+
+#include <math.h>
+#include <stdio.h>
+#include "port/port.h"
+#include "util/histogram.h"
+
+namespace leveldb {
+
+const double Histogram::kBucketLimit[kNumBuckets] = {
+ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 25, 30, 35, 40, 45,
+ 50, 60, 70, 80, 90, 100, 120, 140, 160, 180, 200, 250, 300, 350, 400, 450,
+ 500, 600, 700, 800, 900, 1000, 1200, 1400, 1600, 1800, 2000, 2500, 3000,
+ 3500, 4000, 4500, 5000, 6000, 7000, 8000, 9000, 10000, 12000, 14000,
+ 16000, 18000, 20000, 25000, 30000, 35000, 40000, 45000, 50000, 60000,
+ 70000, 80000, 90000, 100000, 120000, 140000, 160000, 180000, 200000,
+ 250000, 300000, 350000, 400000, 450000, 500000, 600000, 700000, 800000,
+ 900000, 1000000, 1200000, 1400000, 1600000, 1800000, 2000000, 2500000,
+ 3000000, 3500000, 4000000, 4500000, 5000000, 6000000, 7000000, 8000000,
+ 9000000, 10000000, 12000000, 14000000, 16000000, 18000000, 20000000,
+ 25000000, 30000000, 35000000, 40000000, 45000000, 50000000, 60000000,
+ 70000000, 80000000, 90000000, 100000000, 120000000, 140000000, 160000000,
+ 180000000, 200000000, 250000000, 300000000, 350000000, 400000000,
+ 450000000, 500000000, 600000000, 700000000, 800000000, 900000000,
+ 1000000000, 1200000000, 1400000000, 1600000000, 1800000000, 2000000000,
+ 2500000000.0, 3000000000.0, 3500000000.0, 4000000000.0, 4500000000.0,
+ 5000000000.0, 6000000000.0, 7000000000.0, 8000000000.0, 9000000000.0,
+ 1e200,
+};
+
+void Histogram::Clear() {
+ min_ = kBucketLimit[kNumBuckets-1];
+ max_ = 0;
+ num_ = 0;
+ sum_ = 0;
+ sum_squares_ = 0;
+ for (int i = 0; i < kNumBuckets; i++) {
+ buckets_[i] = 0;
+ }
+}
+
+void Histogram::Add(double value) {
+ // Linear search is fast enough for our usage in db_bench
+ int b = 0;
+ while (b < kNumBuckets - 1 && kBucketLimit[b] <= value) {
+ b++;
+ }
+ buckets_[b] += 1.0;
+ if (min_ > value) min_ = value;
+ if (max_ < value) max_ = value;
+ num_++;
+ sum_ += value;
+ sum_squares_ += (value * value);
+}
+
+void Histogram::Merge(const Histogram& other) {
+ if (other.min_ < min_) min_ = other.min_;
+ if (other.max_ > max_) max_ = other.max_;
+ num_ += other.num_;
+ sum_ += other.sum_;
+ sum_squares_ += other.sum_squares_;
+ for (int b = 0; b < kNumBuckets; b++) {
+ buckets_[b] += other.buckets_[b];
+ }
+}
+
+double Histogram::Median() const {
+ return Percentile(50.0);
+}
+
+double Histogram::Percentile(double p) const {
+ double threshold = num_ * (p / 100.0);
+ double sum = 0;
+ for (int b = 0; b < kNumBuckets; b++) {
+ sum += buckets_[b];
+ if (sum >= threshold) {
+ // Scale linearly within this bucket
+ double left_point = (b == 0) ? 0 : kBucketLimit[b-1];
+ double right_point = kBucketLimit[b];
+ double left_sum = sum - buckets_[b];
+ double right_sum = sum;
+ double pos = (threshold - left_sum) / (right_sum - left_sum);
+ double r = left_point + (right_point - left_point) * pos;
+ if (r < min_) r = min_;
+ if (r > max_) r = max_;
+ return r;
+ }
+ }
+ return max_;
+}
+
+double Histogram::Average() const {
+ if (num_ == 0.0) return 0;
+ return sum_ / num_;
+}
+
+double Histogram::StandardDeviation() const {
+ if (num_ == 0.0) return 0;
+ double variance = (sum_squares_ * num_ - sum_ * sum_) / (num_ * num_);
+ return sqrt(variance);
+}
+
+std::string Histogram::ToString() const {
+ std::string r;
+ char buf[200];
+ snprintf(buf, sizeof(buf),
+ "Count: %.0f Average: %.4f StdDev: %.2f\n",
+ num_, Average(), StandardDeviation());
+ r.append(buf);
+ snprintf(buf, sizeof(buf),
+ "Min: %.4f Median: %.4f Max: %.4f\n",
+ (num_ == 0.0 ? 0.0 : min_), Median(), max_);
+ r.append(buf);
+ r.append("------------------------------------------------------\n");
+ const double mult = 100.0 / num_;
+ double sum = 0;
+ for (int b = 0; b < kNumBuckets; b++) {
+ if (buckets_[b] <= 0.0) continue;
+ sum += buckets_[b];
+ snprintf(buf, sizeof(buf),
+ "[ %7.0f, %7.0f ) %7.0f %7.3f%% %7.3f%% ",
+ ((b == 0) ? 0.0 : kBucketLimit[b-1]), // left
+ kBucketLimit[b], // right
+ buckets_[b], // count
+ mult * buckets_[b], // percentage
+ mult * sum); // cumulative percentage
+ r.append(buf);
+
+ // Add hash marks based on percentage; 20 marks for 100%.
+ int marks = static_cast<int>(20*(buckets_[b] / num_) + 0.5);
+ r.append(marks, '#');
+ r.push_back('\n');
+ }
+ return r;
+}
+
+} // namespace leveldb