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diff --git a/include/shard/Alias.h b/include/shard/Alias.h
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+/*
+ * include/shard/Alias.h
+ *
+ * Copyright (C) 2023 Douglas B. Rumbaugh <drumbaugh@psu.edu>
+ * Dong Xie <dongx@psu.edu>
+ *
+ * Distributed under the Modified BSD License.
+ *
+ * A shard shim around the psudb::Alias Walker's Alias
+ * structure. Designed to be used along side the WSS
+ * query in include/query/wss.h
+ *
+ * TODO: The code in this file is very poorly commented.
+ */
+#pragma once
+
+#include <vector>
+
+#include "framework/ShardRequirements.h"
+
+#include "psu-ds/Alias.h"
+#include "psu-ds/BloomFilter.h"
+#include "util/bf_config.h"
+#include "util/SortedMerge.h"
+
+using psudb::CACHELINE_SIZE;
+using psudb::BloomFilter;
+using psudb::PriorityQueue;
+using psudb::queue_record;
+using psudb::byte;
+
+namespace de {
+
+static thread_local size_t wss_cancelations = 0;
+
+template <WeightedRecordInterface R>
+class Alias {
+private:
+ typedef decltype(R::key) K;
+ typedef decltype(R::value) V;
+ typedef decltype(R::weight) W;
+
+public:
+ Alias(BufferView<R> buffer)
+ : m_data(nullptr)
+ , m_alias(nullptr)
+ , m_total_weight(0)
+ , m_reccnt(0)
+ , m_tombstone_cnt(0)
+ , m_alloc_size(0)
+ , m_bf(new BloomFilter<R>(BF_FPR, buffer.get_tombstone_count(), BF_HASH_FUNCS)) {
+
+
+ m_alloc_size = psudb::sf_aligned_alloc(CACHELINE_SIZE,
+ buffer.get_record_count() *
+ sizeof(Wrapped<R>),
+ (byte**) &m_data);
+
+ auto res = sorted_array_from_bufferview<R>(std::move(buffer), m_data, m_bf);
+ m_reccnt = res.record_count;
+ m_tombstone_cnt = res.tombstone_count;
+
+ if (m_reccnt > 0) {
+ std::vector<W> weights;
+ for (size_t i=0; i<m_reccnt; i++) {
+ weights.emplace_back(m_data[i].rec.weight);
+ m_total_weight += m_data[i].rec.weight;
+ }
+
+ build_alias_structure(weights);
+ }
+ }
+
+ Alias(std::vector<Alias*> &shards)
+ : m_data(nullptr)
+ , m_alias(nullptr)
+ , m_total_weight(0)
+ , m_reccnt(0)
+ , m_tombstone_cnt(0)
+ , m_alloc_size(0)
+ , m_bf(nullptr) {
+
+ size_t attemp_reccnt = 0;
+ size_t tombstone_count = 0;
+ auto cursors = build_cursor_vec<R, Alias>(shards, &attemp_reccnt, &tombstone_count);
+
+ m_bf = new BloomFilter<R>(BF_FPR, tombstone_count, BF_HASH_FUNCS);
+ m_alloc_size = psudb::sf_aligned_alloc(CACHELINE_SIZE,
+ attemp_reccnt * sizeof(Wrapped<R>),
+ (byte **) &m_data);
+
+ auto res = sorted_array_merge<R>(cursors, m_data, m_bf);
+ m_reccnt = res.record_count;
+ m_tombstone_cnt = res.tombstone_count;
+
+ if (m_reccnt > 0) {
+ std::vector<W> weights;
+ for (size_t i=0; i<m_reccnt; i++) {
+ weights.emplace_back(m_data[i].rec.weight);
+ m_total_weight += m_data[i].rec.weight;
+ }
+
+ build_alias_structure(weights);
+ }
+ }
+
+ ~Alias() {
+ free(m_data);
+ delete m_alias;
+ delete m_bf;
+ }
+
+ Wrapped<R> *point_lookup(const R &rec, bool filter=false) {
+ if (filter && !m_bf->lookup(rec)) {
+ return nullptr;
+ }
+
+ size_t idx = get_lower_bound(rec.key);
+ if (idx >= m_reccnt) {
+ return nullptr;
+ }
+
+ while (idx < (m_reccnt-1) && m_data[idx].rec < rec) ++idx;
+
+ if (m_data[idx].rec == rec) {
+ return m_data + idx;
+ }
+
+ return nullptr;
+ }
+
+ Wrapped<R>* get_data() const {
+ return m_data;
+ }
+
+ size_t get_record_count() const {
+ return m_reccnt;
+ }
+
+ size_t get_tombstone_count() const {
+ return m_tombstone_cnt;
+ }
+
+ const Wrapped<R>* get_record_at(size_t idx) const {
+ if (idx >= m_reccnt) return nullptr;
+ return m_data + idx;
+ }
+
+
+ size_t get_memory_usage() {
+ return m_alloc_size;
+ }
+
+ size_t get_aux_memory_usage() {
+ return (m_bf) ? m_bf->memory_usage() : 0;
+ }
+
+ W get_total_weight() {
+ return m_total_weight;
+ }
+
+ size_t get_weighted_sample(gsl_rng *rng) const {
+ return m_alias->get(rng);
+ }
+
+ size_t get_lower_bound(const K& key) const {
+ size_t min = 0;
+ size_t max = m_reccnt - 1;
+
+ const char * record_key;
+ while (min < max) {
+ size_t mid = (min + max) / 2;
+
+ if (key > m_data[mid].rec.key) {
+ min = mid + 1;
+ } else {
+ max = mid;
+ }
+ }
+
+ return min;
+ }
+
+private:
+
+ void build_alias_structure(std::vector<W> &weights) {
+
+ // normalize the weights vector
+ std::vector<double> norm_weights(weights.size());
+
+ for (size_t i=0; i<weights.size(); i++) {
+ norm_weights[i] = (double) weights[i] / (double) m_total_weight;
+ }
+
+ // build the alias structure
+ m_alias = new psudb::Alias(norm_weights);
+ }
+
+ Wrapped<R>* m_data;
+ psudb::Alias *m_alias;
+ W m_total_weight;
+ size_t m_reccnt;
+ size_t m_tombstone_cnt;
+ size_t m_alloc_size;
+ BloomFilter<R> *m_bf;
+};
+}