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+// Experimental content: test scale for element cell
+/*
+Sample output:
+scale: 2, max: 7 2: 339 3: 86 4: 27 5: 13 6: 2 7: 2
+scale: 3, max: 6 2: 287 3: 70 4: 18 5: 2 6: 1
+scale: 4, max: 5 2: 257 3: 43 4: 14 5: 3
+scale: 5, max: 5 2: 241 3: 46 4: 6 5: 1
+scale: 6, max: 4 2: 226 3: 26 4: 3
+scale: 7, max: 4 2: 188 3: 26 4: 1
+scale: 8, max: 4 2: 182 3: 20 4: 3
+scale: 9, max: 4 2: 165 3: 17 4: 3
+scale: 10, max: 4 2: 154 3: 16 4: 1
+scale: 11, max: 4 2: 153 3: 9 4: 1
+scale: 12, max: 4 2: 127 3: 11 4: 1
+scale: 13, max: 3 2: 135 3: 5
+scale: 14, max: 3 2: 118 3: 7
+scale: 15, max: 3 2: 129 3: 4
+scale: 16, max: 4 2: 108 3: 5 4: 1
+ */
+#include <algorithm>
+#include <cassert>
+#include <cmath>
+#include <cstdio>
+#include <iostream>
+#include <vector>
+
+constexpr size_t length = 2097152;
+std::vector<unsigned long long> population_vector, sample_vector,
+ original_vector;
+// std::vector<std::vector<unsigned long long>> result_storage;
+std::vector<short> result_storage;
+std::vector<short> counter;
+
+long double sample_cdf(long double x) {
+ auto it = lower_bound(sample_vector.begin(), sample_vector.end(), x);
+ if (it == sample_vector.end()) {
+ return 1;
+ }
+ if (it == sample_vector.begin()) {
+ return 0;
+ }
+ auto it_prev = it - 1;
+ return ((long double)(it_prev - sample_vector.begin()) +
+ (long double)(x - *it_prev) / (*it - *it_prev)) /
+ (long double)(sample_vector.size() - 1);
+}
+
+inline long double safe_ceil(long double value) {
+ auto c = std::ceil(value);
+ return c == 0 ? 1 : c;
+}
+
+unsigned long long max_value = 0, min_value = 0xfffffffff;
+
+inline void store_into_vector(unsigned long long value) {
+ if (max_value < value) {
+ max_value = value;
+ }
+ if (min_value > value) {
+ min_value = value;
+ }
+ population_vector.push_back(value);
+}
+
+constexpr long sample_length = 1024;
+constexpr long test_size = 2048;
+
+void mian(long scale_size) {
+ const long split_size = test_size * scale_size;
+ counter.resize(8);
+
+ result_storage.resize(split_size, 0);
+
+ const auto slice_size = 1.0 / (long double)(split_size);
+
+ for (long i = 0; i < test_size; i++) {
+ auto index =
+ safe_ceil(sample_cdf(original_vector[i + sample_length]) / slice_size) -
+ 1;
+ // printf("%Lf\n", index);
+ result_storage[(int)index]++;
+ }
+ auto element_size_max = 0;
+ for (auto element : result_storage) {
+ if (element > 1) {
+ counter[element]++;
+ }
+ if (element_size_max < element) {
+ element_size_max = element;
+ }
+ }
+ printf("scale: %2ld, max: %d ", scale_size, element_size_max);
+ for (int i = 2; i < 8; i++) {
+ if (counter[i]) {
+ printf(" %d: %3d", i, counter[i]);
+ }
+ }
+ puts("");
+ result_storage.clear();
+ counter.clear();
+}
+
+int main(int _argc, char const *_argv[]) {
+ assert((length & 1) == 0);
+ assert(length > 1024);
+
+ FILE *file = fopen("normal_distribution.txt", "r");
+ assert(file);
+ for (long long i; fscanf(file, "%lld ", &i) != EOF; store_into_vector(i))
+ ;
+ fclose(file);
+
+ // printf("%zu %zu\n", population_vector.size(), length);
+
+ assert(population_vector.size() == length);
+
+ original_vector = population_vector;
+
+ sample_vector = std::vector<unsigned long long>(
+ original_vector.begin(), original_vector.begin() + sample_length);
+ sample_vector.push_back(min_value);
+ sample_vector.push_back(max_value);
+
+ std::sort(sample_vector.begin(), sample_vector.end());
+
+ for (int i = 2; i <= 16; i++) {
+ mian(i);
+ }
+} \ No newline at end of file