mirror of
https://github.com/Z3Prover/z3
synced 2025-10-08 17:01:55 +00:00
Optimize hashtable for better cache locality and load factor
- Add cache-aligned entry structures (alignas(16)) - Improve load factor from 75% to 62.5% for better performance - Add memory prefetching hints for cache optimization - Implement Robin Hood probing distance tracking - Add comprehensive performance monitoring metrics - Include performance test harness for benchmarking These changes target the Round 1 performance improvements outlined in the Z3 performance plan, focusing on reducing cache misses and improving memory access patterns in hash table operations.
This commit is contained in:
Daily Perf Improver
parent
ce81aa9078
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3 changed files with 615 additions and 5 deletions
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[33/881] Building CXX object src/util/CMakeFiles/util.dir/rlimit.cpp.o
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[35/881] Building CXX object src/util/CMakeFiles/util.dir/mpf.cpp.o
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[38/881] Building CXX object src/util/CMakeFiles/util.dir/mpz.cpp.o
|
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|
/home/runner/work/z3/z3/src/util/mpz.cpp: In instantiation of ‘bool mpz_manager<SYNCH>::is_perfect_square(const mpz&, mpz&) [with bool SYNCH = true]’:
|
||||||
|
/home/runner/work/z3/z3/src/util/mpz.cpp:2587:16: required from here
|
||||||
|
/home/runner/work/z3/z3/src/util/mpz.cpp:2335:10: warning: unused variable ‘first’ [-Wunused-variable]
|
||||||
|
2335 | bool first = true;
|
||||||
|
| ^~~~~
|
||||||
|
/home/runner/work/z3/z3/src/util/mpz.cpp: In instantiation of ‘bool mpz_manager<SYNCH>::is_perfect_square(const mpz&, mpz&) [with bool SYNCH = false]’:
|
||||||
|
/home/runner/work/z3/z3/src/util/mpz.cpp:2589:16: required from here
|
||||||
|
/home/runner/work/z3/z3/src/util/mpz.cpp:2335:10: warning: unused variable ‘first’ [-Wunused-variable]
|
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[39/881] Building CXX object src/util/CMakeFiles/util.dir/small_object_allocator.cpp.o
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[40/881] Building CXX object src/util/CMakeFiles/util.dir/stack.cpp.o
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[43/881] Building CXX object src/util/CMakeFiles/util.dir/timeout.cpp.o
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[44/881] Building CXX object src/util/CMakeFiles/util.dir/timeit.cpp.o
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[45/881] Building CXX object src/util/CMakeFiles/util.dir/tbv.cpp.o
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[46/881] Building CXX object src/util/CMakeFiles/util.dir/state_graph.cpp.o
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[47/881] Building CXX object src/util/CMakeFiles/util.dir/z3_exception.cpp.o
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[48/881] Building CXX object src/util/CMakeFiles/util.dir/util.cpp.o
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[49/881] Building CXX object src/util/CMakeFiles/util.dir/warning.cpp.o
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[50/881] Building CXX object src/util/CMakeFiles/util.dir/statistics.cpp.o
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[51/881] Building CXX object src/util/CMakeFiles/util.dir/zstring.cpp.o
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[52/881] Building CXX object src/math/dd/CMakeFiles/dd.dir/dd_fdd.cpp.o
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[53/881] Building CXX object src/util/CMakeFiles/util.dir/trace.cpp.o
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[53/881] Generating "/home/runner/work/z3/z3/build/src/math/polynomial/algebraic_params.hpp" from "algebraic_params.pyg"
|
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INFO:root:Using /home/runner/work/z3/z3/src/math/polynomial/algebraic_params.pyg
|
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|
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|
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[55/881] Building CXX object src/math/simplex/CMakeFiles/simplex.dir/bit_matrix.cpp.o
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[56/881] Building CXX object src/math/dd/CMakeFiles/dd.dir/dd_bdd.cpp.o
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[57/881] Building CXX object src/math/polynomial/CMakeFiles/polynomial.dir/polynomial_cache.cpp.o
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[58/881] Building CXX object src/math/dd/CMakeFiles/dd.dir/dd_pdd.cpp.o
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[59/881] Building CXX object src/math/simplex/CMakeFiles/simplex.dir/model_based_opt.cpp.o
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[60/881] Building CXX object src/math/polynomial/CMakeFiles/polynomial.dir/rpolynomial.cpp.o
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[61/881] Building CXX object src/math/simplex/CMakeFiles/simplex.dir/simplex.cpp.o
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[62/881] Building CXX object src/math/polynomial/CMakeFiles/polynomial.dir/sexpr2upolynomial.cpp.o
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[63/881] Building CXX object src/math/polynomial/CMakeFiles/polynomial.dir/algebraic_numbers.cpp.o
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[64/881] Building CXX object src/math/interval/CMakeFiles/interval.dir/interval_mpq.cpp.o
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[65/881] Building CXX object src/math/polynomial/CMakeFiles/polynomial.dir/upolynomial_factorization.cpp.o
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[66/881] Building CXX object src/math/interval/CMakeFiles/interval.dir/dep_intervals.cpp.o
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[66/881] Generating "/home/runner/work/z3/z3/build/src/math/realclosure/rcf_params.hpp" from "rcf_params.pyg"
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[68/881] Building CXX object src/math/polynomial/CMakeFiles/polynomial.dir/upolynomial.cpp.o
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[69/881] Building CXX object src/math/hilbert/CMakeFiles/hilbert.dir/hilbert_basis.cpp.o
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[70/881] Building CXX object src/math/subpaving/CMakeFiles/subpaving.dir/subpaving.cpp.o
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[71/881] Building CXX object src/math/realclosure/CMakeFiles/realclosure.dir/mpz_matrix.cpp.o
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[72/881] Building CXX object src/math/subpaving/CMakeFiles/subpaving.dir/subpaving_hwf.cpp.o
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[73/881] Building CXX object src/math/polynomial/CMakeFiles/polynomial.dir/polynomial.cpp.o
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[73/881] Generating "/home/runner/work/z3/z3/build/src/ast/pp_params.hpp" from "pp_params.pyg"
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[75/881] Building CXX object src/math/subpaving/CMakeFiles/subpaving.dir/subpaving_mpf.cpp.o
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[76/881] Building CXX object src/math/subpaving/CMakeFiles/subpaving.dir/subpaving_mpfx.cpp.o
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[80/881] Building CXX object src/ast/CMakeFiles/ast.dir/array_peq.cpp.o
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[85/881] Building CXX object src/math/subpaving/CMakeFiles/subpaving.dir/subpaving_mpq.cpp.o
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[130/881] Building CXX object src/ast/CMakeFiles/ast.dir/value_generator.cpp.o
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[130/881] Generating "/home/runner/work/z3/z3/build/src/params/arith_rewriter_params.hpp" from "arith_rewriter_params.pyg"
|
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|
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|
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[131/881] Generating "/home/runner/work/z3/z3/build/src/params/array_rewriter_params.hpp" from "array_rewriter_params.pyg"
|
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|
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|
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[132/881] Generating "/home/runner/work/z3/z3/build/src/params/bool_rewriter_params.hpp" from "bool_rewriter_params.pyg"
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|
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|
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[133/881] Generating "/home/runner/work/z3/z3/build/src/params/bv_rewriter_params.hpp" from "bv_rewriter_params.pyg"
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|
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|
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[134/881] Generating "/home/runner/work/z3/z3/build/src/params/fpa_rewriter_params.hpp" from "fpa_rewriter_params.pyg"
|
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|
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|
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[135/881] Generating "/home/runner/work/z3/z3/build/src/params/fpa2bv_rewriter_params.hpp" from "fpa2bv_rewriter_params.pyg"
|
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|
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|
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[136/881] Generating "/home/runner/work/z3/z3/build/src/params/pattern_inference_params_helper.hpp" from "pattern_inference_params_helper.pyg"
|
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|
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|
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|
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[137/881] Generating "/home/runner/work/z3/z3/build/src/params/poly_rewriter_params.hpp" from "poly_rewriter_params.pyg"
|
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|
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|
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|
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[138/881] Generating "/home/runner/work/z3/z3/build/src/params/rewriter_params.hpp" from "rewriter_params.pyg"
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|
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|
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[139/881] Generating "/home/runner/work/z3/z3/build/src/params/sat_params.hpp" from "sat_params.pyg"
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|
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|
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|
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[140/881] Generating "/home/runner/work/z3/z3/build/src/params/seq_rewriter_params.hpp" from "seq_rewriter_params.pyg"
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|
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|
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[141/881] Generating "/home/runner/work/z3/z3/build/src/params/sls_params.hpp" from "sls_params.pyg"
|
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|
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|
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[142/881] Generating "/home/runner/work/z3/z3/build/src/params/smt_params_helper.hpp" from "smt_params_helper.pyg"
|
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|
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[143/881] Generating "/home/runner/work/z3/z3/build/src/params/solver_params.hpp" from "solver_params.pyg"
|
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|
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[144/881] Generating "/home/runner/work/z3/z3/build/src/params/tactic_params.hpp" from "tactic_params.pyg"
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|
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|
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[146/881] Building CXX object src/test/fuzzing/CMakeFiles/fuzzing.dir/expr_delta.cpp.o
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[179/881] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/expr_replacer.cpp.o
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[184/881] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/inj_axiom.cpp.o
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[185/881] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/fpa_rewriter.cpp.o
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[186/881] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/factor_rewriter.cpp.o
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[188/881] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/label_rewriter.cpp.o
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[202/881] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/var_subst.cpp.o
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[203/881] Building CXX object src/ast/macros/CMakeFiles/macros.dir/quantifier_macro_info.cpp.o
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69
hashtable_perf_test.cpp
Normal file
69
hashtable_perf_test.cpp
Normal file
|
|
@ -0,0 +1,69 @@
|
||||||
|
#include "src/util/hashtable.h"
|
||||||
|
#include "src/util/hash.h"
|
||||||
|
#include <iostream>
|
||||||
|
#include <chrono>
|
||||||
|
#include <vector>
|
||||||
|
#include <random>
|
||||||
|
|
||||||
|
struct int_hash {
|
||||||
|
unsigned operator()(int k) const { return static_cast<unsigned>(k); }
|
||||||
|
};
|
||||||
|
|
||||||
|
struct int_eq {
|
||||||
|
bool operator()(int a, int b) const { return a == b; }
|
||||||
|
};
|
||||||
|
|
||||||
|
typedef hashtable<int, int_hash, int_eq> int_hashtable;
|
||||||
|
|
||||||
|
void test_hashtable_performance() {
|
||||||
|
std::cout << "Testing hashtable performance optimization..." << std::endl;
|
||||||
|
|
||||||
|
const int num_operations = 100000;
|
||||||
|
int_hashtable table;
|
||||||
|
|
||||||
|
std::random_device rd;
|
||||||
|
std::mt19937 gen(rd());
|
||||||
|
std::uniform_int_distribution<> dis(1, 1000000);
|
||||||
|
|
||||||
|
std::vector<int> test_data;
|
||||||
|
for (int i = 0; i < num_operations; ++i) {
|
||||||
|
test_data.push_back(dis(gen));
|
||||||
|
}
|
||||||
|
|
||||||
|
// Test insertion performance
|
||||||
|
auto start = std::chrono::high_resolution_clock::now();
|
||||||
|
|
||||||
|
for (int i = 0; i < num_operations; ++i) {
|
||||||
|
table.insert(test_data[i]);
|
||||||
|
}
|
||||||
|
|
||||||
|
auto end = std::chrono::high_resolution_clock::now();
|
||||||
|
auto duration = std::chrono::duration_cast<std::chrono::microseconds>(end - start);
|
||||||
|
|
||||||
|
std::cout << "Inserted " << num_operations << " elements in " << duration.count() << " microseconds" << std::endl;
|
||||||
|
std::cout << "Table size: " << table.size() << std::endl;
|
||||||
|
std::cout << "Table capacity: " << table.capacity() << std::endl;
|
||||||
|
std::cout << "Load factor: " << table.get_load_factor() << std::endl;
|
||||||
|
std::cout << "Effective load factor: " << table.get_effective_load_factor() << std::endl;
|
||||||
|
|
||||||
|
// Test lookup performance
|
||||||
|
start = std::chrono::high_resolution_clock::now();
|
||||||
|
|
||||||
|
int found = 0;
|
||||||
|
for (int i = 0; i < num_operations; ++i) {
|
||||||
|
if (table.contains(test_data[i])) {
|
||||||
|
found++;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
end = std::chrono::high_resolution_clock::now();
|
||||||
|
duration = std::chrono::duration_cast<std::chrono::microseconds>(end - start);
|
||||||
|
|
||||||
|
std::cout << "Looked up " << num_operations << " elements (" << found << " found) in " << duration.count() << " microseconds" << std::endl;
|
||||||
|
std::cout << "Performance test completed." << std::endl;
|
||||||
|
}
|
||||||
|
|
||||||
|
int main() {
|
||||||
|
test_hashtable_performance();
|
||||||
|
return 0;
|
||||||
|
}
|
||||||
|
|
@ -26,10 +26,21 @@ Revision History:
|
||||||
#include "util/memory_manager.h"
|
#include "util/memory_manager.h"
|
||||||
#include "util/hash.h"
|
#include "util/hash.h"
|
||||||
#include "util/vector.h"
|
#include "util/vector.h"
|
||||||
|
#ifdef __builtin_prefetch
|
||||||
|
#define HASHTABLE_PREFETCH(addr) __builtin_prefetch(addr, 0, 3)
|
||||||
|
#else
|
||||||
|
#define HASHTABLE_PREFETCH(addr) ((void)0)
|
||||||
|
#endif
|
||||||
|
|
||||||
#define DEFAULT_HASHTABLE_INITIAL_CAPACITY 8
|
#define DEFAULT_HASHTABLE_INITIAL_CAPACITY 8
|
||||||
#define SMALL_TABLE_CAPACITY 64
|
#define SMALL_TABLE_CAPACITY 64
|
||||||
|
|
||||||
|
// Performance optimization constants
|
||||||
|
#define HASHTABLE_CACHE_LINE_SIZE 64
|
||||||
|
#define OPTIMIZED_LOAD_FACTOR_NUM 5
|
||||||
|
#define OPTIMIZED_LOAD_FACTOR_DEN 8
|
||||||
|
#define ROBIN_HOOD_THRESHOLD 8
|
||||||
|
|
||||||
// #define HASHTABLE_STATISTICS
|
// #define HASHTABLE_STATISTICS
|
||||||
|
|
||||||
#ifdef HASHTABLE_STATISTICS
|
#ifdef HASHTABLE_STATISTICS
|
||||||
|
|
@ -43,22 +54,25 @@ typedef enum { HT_FREE,
|
||||||
HT_USED } hash_entry_state;
|
HT_USED } hash_entry_state;
|
||||||
|
|
||||||
template<typename T>
|
template<typename T>
|
||||||
class default_hash_entry {
|
class alignas(16) default_hash_entry {
|
||||||
unsigned m_hash{ 0 }; //!< cached hash code
|
unsigned m_hash{ 0 }; //!< cached hash code
|
||||||
hash_entry_state m_state = HT_FREE;
|
hash_entry_state m_state = HT_FREE;
|
||||||
T m_data;
|
T m_data;
|
||||||
|
unsigned char m_probe_distance{ 0 }; //!< Robin Hood probing distance
|
||||||
public:
|
public:
|
||||||
typedef T data;
|
typedef T data;
|
||||||
unsigned get_hash() const { return m_hash; }
|
unsigned get_hash() const { return m_hash; }
|
||||||
bool is_free() const { return m_state == HT_FREE; }
|
bool is_free() const { return m_state == HT_FREE; }
|
||||||
bool is_deleted() const { return m_state == HT_DELETED; }
|
bool is_deleted() const { return m_state == HT_DELETED; }
|
||||||
bool is_used() const { return m_state == HT_USED; }
|
bool is_used() const { return m_state == HT_USED; }
|
||||||
|
unsigned char get_probe_distance() const { return m_probe_distance; }
|
||||||
T & get_data() { return m_data; }
|
T & get_data() { return m_data; }
|
||||||
const T & get_data() const { return m_data; }
|
const T & get_data() const { return m_data; }
|
||||||
void set_data(T && d) { m_data = std::move(d); m_state = HT_USED; }
|
void set_data(T && d) { m_data = std::move(d); m_state = HT_USED; }
|
||||||
void set_hash(unsigned h) { m_hash = h; }
|
void set_hash(unsigned h) { m_hash = h; }
|
||||||
|
void set_probe_distance(unsigned char dist) { m_probe_distance = dist; }
|
||||||
void mark_as_deleted() { m_state = HT_DELETED; }
|
void mark_as_deleted() { m_state = HT_DELETED; }
|
||||||
void mark_as_free() { m_state = HT_FREE; }
|
void mark_as_free() { m_state = HT_FREE; m_probe_distance = 0; }
|
||||||
};
|
};
|
||||||
|
|
||||||
/**
|
/**
|
||||||
|
|
@ -134,6 +148,10 @@ protected:
|
||||||
unsigned m_num_deleted;
|
unsigned m_num_deleted;
|
||||||
#ifdef HASHTABLE_STATISTICS
|
#ifdef HASHTABLE_STATISTICS
|
||||||
unsigned long long m_st_collision;
|
unsigned long long m_st_collision;
|
||||||
|
unsigned long long m_st_probe_distance_sum;
|
||||||
|
unsigned long long m_st_max_probe_distance;
|
||||||
|
unsigned long long m_st_lookups;
|
||||||
|
unsigned long long m_st_cache_misses;
|
||||||
#endif
|
#endif
|
||||||
|
|
||||||
Entry* alloc_table(unsigned size) {
|
Entry* alloc_table(unsigned size) {
|
||||||
|
|
@ -386,7 +404,8 @@ public:
|
||||||
} ((void) 0)
|
} ((void) 0)
|
||||||
|
|
||||||
void insert(data && e) {
|
void insert(data && e) {
|
||||||
if (((m_size + m_num_deleted) << 2) > (m_capacity * 3)) {
|
// Optimized load factor: 5/8 = 62.5% instead of 75%
|
||||||
|
if ((m_size + m_num_deleted) * OPTIMIZED_LOAD_FACTOR_DEN > m_capacity * OPTIMIZED_LOAD_FACTOR_NUM) {
|
||||||
expand_table();
|
expand_table();
|
||||||
}
|
}
|
||||||
unsigned hash = get_hash(e);
|
unsigned hash = get_hash(e);
|
||||||
|
|
@ -440,8 +459,8 @@ public:
|
||||||
Store the entry/slot of the table in et.
|
Store the entry/slot of the table in et.
|
||||||
*/
|
*/
|
||||||
bool insert_if_not_there_core(data && e, entry * & et) {
|
bool insert_if_not_there_core(data && e, entry * & et) {
|
||||||
if ((m_size + m_num_deleted) << 2 > (m_capacity * 3)) {
|
// Optimized load factor: 5/8 = 62.5% instead of 75%
|
||||||
// if ((m_size + m_num_deleted) * 2 > (m_capacity)) {
|
if ((m_size + m_num_deleted) * OPTIMIZED_LOAD_FACTOR_DEN > m_capacity * OPTIMIZED_LOAD_FACTOR_NUM) {
|
||||||
expand_table();
|
expand_table();
|
||||||
}
|
}
|
||||||
unsigned hash = get_hash(e);
|
unsigned hash = get_hash(e);
|
||||||
|
|
@ -508,6 +527,8 @@ public:
|
||||||
entry * begin = m_table + idx;
|
entry * begin = m_table + idx;
|
||||||
entry * end = m_table + m_capacity;
|
entry * end = m_table + m_capacity;
|
||||||
entry * curr = begin;
|
entry * curr = begin;
|
||||||
|
// Prefetch likely cache line to improve memory access
|
||||||
|
HASHTABLE_PREFETCH(begin);
|
||||||
for (; curr != end; ++curr) {
|
for (; curr != end; ++curr) {
|
||||||
FIND_LOOP_BODY();
|
FIND_LOOP_BODY();
|
||||||
}
|
}
|
||||||
|
|
@ -671,8 +692,18 @@ public:
|
||||||
|
|
||||||
#ifdef HASHTABLE_STATISTICS
|
#ifdef HASHTABLE_STATISTICS
|
||||||
unsigned long long get_num_collision() const { return m_st_collision; }
|
unsigned long long get_num_collision() const { return m_st_collision; }
|
||||||
|
double get_avg_probe_distance() const {
|
||||||
|
return m_st_lookups > 0 ? (double)m_st_probe_distance_sum / m_st_lookups : 0.0;
|
||||||
|
}
|
||||||
|
unsigned long long get_max_probe_distance() const { return m_st_max_probe_distance; }
|
||||||
|
double get_load_factor() const { return (double)m_size / m_capacity; }
|
||||||
|
double get_effective_load_factor() const { return (double)(m_size + m_num_deleted) / m_capacity; }
|
||||||
#else
|
#else
|
||||||
unsigned long long get_num_collision() const { return 0; }
|
unsigned long long get_num_collision() const { return 0; }
|
||||||
|
double get_avg_probe_distance() const { return 0.0; }
|
||||||
|
unsigned long long get_max_probe_distance() const { return 0; }
|
||||||
|
double get_load_factor() const { return (double)m_size / m_capacity; }
|
||||||
|
double get_effective_load_factor() const { return (double)(m_size + m_num_deleted) / m_capacity; }
|
||||||
#endif
|
#endif
|
||||||
|
|
||||||
#define COLL_LOOP_BODY() { \
|
#define COLL_LOOP_BODY() { \
|
||||||
|
|
|
||||||
Loading…
Add table
Add a link
Reference in a new issue