#include <catch2/catch.hpp>
#include <sstream>
#include <stdexcept>
#include "hll.hpp"
namespace datasketches {
static void println(std::string& str) {
unused(str);
}
static void basicUnion(uint64_t n1, uint64_t n2,
uint8_t lgk1, uint8_t lgk2, uint8_t lgMaxK,
target_hll_type type1, target_hll_type type2, target_hll_type resultType) {
uint64_t v = 0;
hll_sketch h1(lgk1, type1);
hll_sketch h2(lgk2, type2);
uint8_t lgControlK = std::min(std::min(lgk1, lgk2), lgMaxK);
hll_sketch control(lgControlK, resultType);
for (uint64_t i = 0; i < n1; ++i) {
h1.update(v + i);
control.update(v + i);
}
v += n1;
for (uint64_t i = 0; i < n2; ++i) {
h2.update(v + i);
control.update(v + i);
}
v += n2;
hll_union u(lgMaxK);
u.update(h1);
u.update(h2);
hll_sketch result = u.get_result(resultType);
u.reset();
u.update(std::move(h1));
u.update(h2);
double uEst = result.get_composite_estimate();
double uUb = result.get_upper_bound(2);
double uLb = result.get_lower_bound(2);
double controlEst = control.get_composite_estimate();
double controlUb = control.get_upper_bound(2);
double controlLb = control.get_lower_bound(2);
REQUIRE((controlUb - controlEst) >= 0.0);
REQUIRE((uUb - uEst) >= 0.0);
REQUIRE((controlEst - controlLb) >= 0.0);
REQUIRE((uEst - uLb) >= 0.0);
REQUIRE(controlEst == uEst);
REQUIRE(controlEst == u.get_composite_estimate());
}
TEST_CASE("hll union: check unions", "[hll_union]") {
target_hll_type type1 = HLL_8;
target_hll_type type2 = HLL_8;
target_hll_type resultType = HLL_8;
uint8_t lgK1 = 7;
uint8_t lgK2 = 7;
uint8_t lgMaxK = 7;
uint64_t n1 = 7;
uint64_t n2 = 7;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 = 8;
n2 = 7;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 = 7;
n2 = 8;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 = 8;
n2 = 8;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 = 7;
n2 = 14;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
uint8_t i = 0;
for (i = 7; i <= 13; ++i) {
lgK1 = i;
lgK2 = i;
lgMaxK = i;
{
n1 = ((1 << (i - 3)) * 3)/4; n2 = n1;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 += 2;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 -= 2;
n2 += 2;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 += 2;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
}
lgK1 = i;
lgK2 = i + 1;
lgMaxK = i;
{
n1 = ((1 << (i - 3)) * 3)/4;
n2 = n1;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 += 2;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 -= 2;
n2 += 2;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 += 2;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
}
lgK1 = i + 1;
lgK2 = i;
lgMaxK = i;
{
n1 = ((1 << (i - 3)) * 3)/4;
n2 = n1;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 += 2;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 -= 2;
n2 += 2;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 += 2;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
}
lgK1 = i + 1;
lgK2 = i + 1;
lgMaxK = i;
{
n1 = ((1 << (i - 3)) * 3)/4;
n2 = n1;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 += 2;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 -= 2;
n2 += 2;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
n1 += 2;
basicUnion(n1, n2, lgK1, lgK2, lgMaxK, type1, type2, resultType);
}
}
}
TEST_CASE("hll union: check composite estimate", "[hll_union]") {
hll_union u(12);
REQUIRE(u.is_empty());
REQUIRE(u.get_composite_estimate() == Approx(0.0).margin(0.03));
for (int i = 1; i <= 15; ++i) { u.update(i); }
REQUIRE(u.get_composite_estimate() == Approx(15.0).margin(15 * 0.03));
for (int i = 16; i <= 1000; ++i) { u.update(i); }
REQUIRE(u.get_composite_estimate() == Approx(1000.0).margin(1000 * 0.03));
}
TEST_CASE("hll union: check config k limits", "[hll_union]") {
REQUIRE_THROWS_AS(hll_union(hll_constants::MIN_LOG_K - 1), std::invalid_argument);
REQUIRE_THROWS_AS(hll_union(hll_constants::MAX_LOG_K + 1), std::invalid_argument);
}
static double getBound(int lgK, bool ub, bool oooFlag, int numStdDev, double est) {
double re = RelativeErrorTables<>::getRelErr(ub, oooFlag, lgK, numStdDev);
return est / (1.0 + re);
}
TEST_CASE("hll union: check ub lb", "[hll_union]") {
uint8_t lgK = 4;
int n = 1 << 20;
bool oooFlag = false;
double bound;
std::string str;
bound = (getBound(lgK, true, oooFlag, 3, n) / n) - 1;
str = "LgK=" + std::to_string(lgK) + ", UB3: " + std::to_string(bound);
println(str);
bound = (getBound(lgK, true, oooFlag, 2, n) / n) - 1;
str = "LgK=" + std::to_string(lgK) + ", UB2: " + std::to_string(bound);
println(str);
bound = (getBound(lgK, true, oooFlag, 1, n) / n) - 1;
str = "LgK=" + std::to_string(lgK) + ", UB1: " + std::to_string(bound);
println(str);
bound = (getBound(lgK, false, oooFlag, 1, n) / n) - 1;
str = "LgK=" + std::to_string(lgK) + ", LB1: " + std::to_string(bound);
println(str);
bound = (getBound(lgK, false, oooFlag, 2, n) / n) - 1;
str = "LgK=" + std::to_string(lgK) + ", LB2: " + std::to_string(bound);
println(str);
bound = (getBound(lgK, false, oooFlag, 3, n) / n) - 1;
str = "LgK=" + std::to_string(lgK) + ", LB3: " + std::to_string(bound);
println(str);
}
TEST_CASE("hll union: check conversions", "[hll_union]") {
uint8_t lgK = 4;
hll_sketch sk1(lgK, HLL_8);
hll_sketch sk2(lgK, HLL_8);
int n = 1 << 20;
for (int i = 0; i < n; ++i) {
sk1.update(i);
sk2.update(i + n);
}
hll_union hllUnion(lgK);
hllUnion.update(sk1);
hllUnion.update(sk2);
hll_sketch rsk1 = hllUnion.get_result(HLL_4);
hll_sketch rsk2 = hllUnion.get_result(HLL_6);
hll_sketch rsk3 = hllUnion.get_result(HLL_8);
double est1 = rsk1.get_estimate();
double est2 = rsk2.get_estimate();
double est3 = rsk3.get_estimate();
REQUIRE(est1 == est2);
REQUIRE(est1 == est3);
}
TEST_CASE("hll union: check input types", "[hll_union]") {
hll_union u(8);
u.update((uint8_t) 102);
u.update((uint16_t) 102);
u.update((uint32_t) 102);
u.update((uint64_t) 102);
u.update((int8_t) 102);
u.update((int16_t) 102);
u.update((int32_t) 102);
u.update((int64_t) 102);
REQUIRE(u.get_estimate() == Approx(1.0).margin(0.01));
u.update((uint8_t) 255);
u.update((int8_t) -1);
u.update((float) -2.0);
u.update((double) -2.0);
std::string str = "input string";
u.update(str);
u.update(str.c_str(), str.length());
REQUIRE(u.get_estimate() == Approx(4.0).margin(0.01));
u = hll_union(8);
u.update((float) 0.0);
u.update((float) -0.0);
u.update((double) 0.0);
u.update((double) -0.0);
REQUIRE(u.get_estimate() == Approx(1.0).margin(0.01));
u = hll_union(8);
u.update(std::nanf("3"));
u.update(std::nan("12"));
REQUIRE(1.0 == Approx(u.get_estimate()).margin(0.01));
REQUIRE(u.get_result().get_estimate() == Approx(u.get_estimate()).margin(0.01));
u = hll_union(8);
u.update(nullptr, 0);
u.update("");
REQUIRE(u.is_empty());
}
static void union_two_sketches_with_overlap(int num, uint8_t lg_k, target_hll_type type) {
hll_sketch sketch1(lg_k, type);
for (int key = 0; key < num; key++) sketch1.update(key);
const int overlap = num / 2;
hll_sketch sketch2(lg_k, type);
for (int key = overlap; key < num + overlap; key++) sketch2.update(key);
hll_union u(lg_k);
u.update(sketch1);
u.update(sketch2);
hll_sketch sketch = u.get_result(type);
REQUIRE(sketch.get_estimate() == Approx(num * 1.5).margin(num * 1.5 * 0.02));
}
TEST_CASE("hll union: check hll to hll", "[hll_union]") {
union_two_sketches_with_overlap(1000000, 11, HLL_4);
}
}