#include <sstream>
#include <stdexcept>
#include <catch2/catch.hpp>
#include <theta_union.hpp>
#include <theta_intersection.hpp>
#include <theta_a_not_b.hpp>
namespace datasketches {
static const uint64_t GT_MIDP_V = 3L;
static const float MIDP = 0.5f;
static const uint64_t GT_LOWP_V = 6L;
static const float LOWP = 0.1f;
static const long LT_LOWP_V = 4L;
static const double LOWP_THETA = LOWP;
enum SkType {
EMPTY, EXACT, ESTIMATION, DEGENERATE };
void check_result(std::string comment, compact_theta_sketch sk, double theta, uint32_t entries, bool empty) {
bool thetaOk = sk.get_theta() == theta;
bool entriesOk = sk.get_num_retained() == entries;
bool emptyOk = sk.is_empty() == empty;
if (!thetaOk || !entriesOk || !emptyOk) {
std::ostringstream s;
s << comment << ": ";
if (!thetaOk) { s << "theta: expected " << theta << ", got " << sk.get_theta() << "; "; }
if (!entriesOk) { s << "entries: expected " << entries << ", got " << sk.get_num_retained() << "; "; }
if (!emptyOk) { s << "empty: expected " << empty << ", got " << sk.is_empty() << "."; }
FAIL(s.str());
}
}
update_theta_sketch build_sketch(SkType skType, float p, uint64_t value) {
update_theta_sketch::builder bldr;
bldr.set_lg_k(5);
switch(skType) {
case EMPTY: { return bldr.build();
}
case EXACT: { auto sk = bldr.build();
sk.update(value);
return sk;
}
case ESTIMATION: { bldr.set_p(p);
auto sk = bldr.build();
sk.update(value);
return sk;
}
case DEGENERATE: { bldr.set_p(p);
auto sk = bldr.build();
sk.update(value); return sk;
}
default: throw std::invalid_argument("invalid case");
}
}
void checks(
update_theta_sketch& a,
update_theta_sketch& b,
double expectedIntersectTheta,
uint32_t expectedIntersectCount,
bool expectedIntersectEmpty,
double expectedAnotbTheta,
uint32_t expectedAnotbCount,
bool expectedAnotbEmpty,
double expectedUnionTheta,
uint32_t expectedUnionCount,
bool expectedUnionEmpty
) {
{
theta_intersection inter;
inter.update(a);
inter.update(b);
auto csk = inter.get_result();
check_result("Intersection update sketches", csk, expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty);
}
{
theta_intersection inter;
inter.update(a.compact());
inter.update(b.compact());
auto csk = inter.get_result();
check_result("Intersection compact sketches", csk, expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty);
}
{
theta_a_not_b a_not_b;
auto csk = a_not_b.compute(a, b);
check_result("AnotB update sketches", csk, expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty);
}
{
theta_a_not_b a_not_b;
auto csk = a_not_b.compute(a.compact(), b.compact());
check_result("AnotB compact sketches", csk, expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty);
}
{
auto u = theta_union::builder().build();
u.update(a);
u.update(b);
auto csk = u.get_result();
check_result("Union update sketches", csk, expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
}
TEST_CASE("empty empty") {
auto a = build_sketch(SkType::EMPTY, 0, 0);
auto b = build_sketch(SkType::EMPTY, 0, 0);
const double expectedIntersectTheta = 1.0;
const int expectedIntersectCount = 0;
const bool expectedIntersectEmpty = true;
const double expectedAnotbTheta = 1.0;
const int expectedAnotbCount = 0;
const bool expectedAnotbEmpty = true;
const double expectedUnionTheta = 1.0;
const int expectedUnionCount = 0;
const bool expectedUnionEmpty = true;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("empty exact") {
auto a = build_sketch(SkType::EMPTY, 0, 0);
auto b = build_sketch(SkType::EXACT, 0, GT_MIDP_V);
const double expectedIntersectTheta = 1.0;
const int expectedIntersectCount = 0;
const bool expectedIntersectEmpty = true;
const double expectedAnotbTheta = 1.0;
const int expectedAnotbCount = 0;
const bool expectedAnotbEmpty = true;
const double expectedUnionTheta = 1.0;
const int expectedUnionCount = 1;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("empty degenerate") {
auto a = build_sketch(SkType::EMPTY, 0, 0);
auto b = build_sketch(SkType::DEGENERATE, LOWP, GT_LOWP_V);
const double expectedIntersectTheta = 1.0;
const int expectedIntersectCount = 0;
const bool expectedIntersectEmpty = true;
const double expectedAnotbTheta = 1.0;
const int expectedAnotbCount = 0;
const bool expectedAnotbEmpty = true;
const double expectedUnionTheta = LOWP_THETA;
const int expectedUnionCount = 0;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("empty estimation") {
auto a = build_sketch(SkType::EMPTY, 0, 0);
auto b = build_sketch(SkType::ESTIMATION, LOWP, LT_LOWP_V);
const double expectedIntersectTheta = 1.0;
const int expectedIntersectCount = 0;
const bool expectedIntersectEmpty = true;
const double expectedAnotbTheta = 1.0;
const int expectedAnotbCount = 0;
const bool expectedAnotbEmpty = true;
const double expectedUnionTheta = LOWP_THETA;
const int expectedUnionCount = 1;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("exact empty") {
auto a = build_sketch(SkType::EXACT, 0, GT_MIDP_V);
auto b = build_sketch(SkType::EMPTY, 0, 0);
const double expectedIntersectTheta = 1.0;
const int expectedIntersectCount = 0;
const bool expectedIntersectEmpty = true;
const double expectedAnotbTheta = 1.0;
const int expectedAnotbCount = 1;
const bool expectedAnotbEmpty = false;
const double expectedUnionTheta = 1.0;
const int expectedUnionCount = 1;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("exact exact") {
auto a = build_sketch(SkType::EXACT, 0, GT_MIDP_V);
auto b = build_sketch(SkType::EXACT, 0, GT_MIDP_V);
const double expectedIntersectTheta = 1.0;
const int expectedIntersectCount = 1;
const bool expectedIntersectEmpty = false;
const double expectedAnotbTheta = 1.0;
const int expectedAnotbCount = 0;
const bool expectedAnotbEmpty = true;
const double expectedUnionTheta = 1.0;
const int expectedUnionCount = 1;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("exact degenerate") {
auto a = build_sketch(SkType::EXACT, 0, LT_LOWP_V);
auto b = build_sketch(SkType::DEGENERATE, LOWP, GT_LOWP_V); const double expectedIntersectTheta = LOWP_THETA;
const int expectedIntersectCount = 0;
const bool expectedIntersectEmpty = false;
const double expectedAnotbTheta = LOWP_THETA;
const int expectedAnotbCount = 1;
const bool expectedAnotbEmpty = false;
const double expectedUnionTheta = LOWP_THETA;
const int expectedUnionCount = 1;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("exact estimation") {
auto a = build_sketch(SkType::EXACT, 0, LT_LOWP_V);
auto b = build_sketch(SkType::ESTIMATION, LOWP, LT_LOWP_V);
const double expectedIntersectTheta = LOWP_THETA;
const int expectedIntersectCount = 1;
const bool expectedIntersectEmpty = false;
const double expectedAnotbTheta = LOWP_THETA;
const int expectedAnotbCount = 0;
const bool expectedAnotbEmpty = false;
const double expectedUnionTheta = LOWP_THETA;
const int expectedUnionCount = 1;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("estimation empty") {
auto a = build_sketch(SkType::ESTIMATION, LOWP, LT_LOWP_V);
auto b = build_sketch(SkType::EMPTY, 0, 0);
const double expectedIntersectTheta = 1.0;
const int expectedIntersectCount = 0;
const bool expectedIntersectEmpty = true;
const double expectedAnotbTheta = LOWP_THETA;
const int expectedAnotbCount = 1;
const bool expectedAnotbEmpty = false;
const double expectedUnionTheta = LOWP_THETA;
const int expectedUnionCount = 1;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("estimation exact") {
auto a = build_sketch(SkType::ESTIMATION, LOWP, LT_LOWP_V);
auto b = build_sketch(SkType::EXACT, 0, LT_LOWP_V);
const double expectedIntersectTheta = LOWP_THETA;
const int expectedIntersectCount = 1;
const bool expectedIntersectEmpty = false;
const double expectedAnotbTheta = LOWP_THETA;
const int expectedAnotbCount = 0;
const bool expectedAnotbEmpty = false;
const double expectedUnionTheta = LOWP_THETA;
const int expectedUnionCount = 1;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("estimation degenerate") {
auto a = build_sketch(SkType::ESTIMATION, MIDP, LT_LOWP_V);
auto b = build_sketch(SkType::DEGENERATE, LOWP, GT_LOWP_V);
const double expectedIntersectTheta = LOWP_THETA;
const int expectedIntersectCount = 0;
const bool expectedIntersectEmpty = false;
const double expectedAnotbTheta = LOWP_THETA;
const int expectedAnotbCount = 1;
const bool expectedAnotbEmpty = false;
const double expectedUnionTheta = LOWP_THETA;
const int expectedUnionCount = 1;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("estimation estimation") {
auto a = build_sketch(SkType::ESTIMATION, MIDP, LT_LOWP_V);
auto b = build_sketch(SkType::ESTIMATION, LOWP, LT_LOWP_V);
const double expectedIntersectTheta = LOWP_THETA;
const int expectedIntersectCount = 1;
const bool expectedIntersectEmpty = false;
const double expectedAnotbTheta = LOWP_THETA;
const int expectedAnotbCount = 0;
const bool expectedAnotbEmpty = false;
const double expectedUnionTheta = LOWP_THETA;
const int expectedUnionCount = 1;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("degenerate empty") {
auto a = build_sketch(SkType::DEGENERATE, LOWP, GT_LOWP_V); auto b = build_sketch(SkType::EMPTY, 0, 0);
const double expectedIntersectTheta = 1.0;
const int expectedIntersectCount = 0;
const bool expectedIntersectEmpty = true;
const double expectedAnotbTheta = LOWP_THETA;
const int expectedAnotbCount = 0;
const bool expectedAnotbEmpty = false;
const double expectedUnionTheta = LOWP_THETA;
const int expectedUnionCount = 0;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("degenerate exact") {
auto a = build_sketch(SkType::DEGENERATE, LOWP, GT_LOWP_V); auto b = build_sketch(SkType::EXACT, 0, LT_LOWP_V);
const double expectedIntersectTheta = LOWP_THETA;
const int expectedIntersectCount = 0;
const bool expectedIntersectEmpty = false;
const double expectedAnotbTheta = LOWP_THETA;
const int expectedAnotbCount = 0;
const bool expectedAnotbEmpty = false;
const double expectedUnionTheta = LOWP_THETA;
const int expectedUnionCount = 1;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("degenerate degenerate") {
auto a = build_sketch(SkType::DEGENERATE, MIDP, GT_MIDP_V); auto b = build_sketch(SkType::DEGENERATE, LOWP, GT_LOWP_V);
const double expectedIntersectTheta = LOWP_THETA;
const int expectedIntersectCount = 0;
const bool expectedIntersectEmpty = false;
const double expectedAnotbTheta = LOWP_THETA;
const int expectedAnotbCount = 0;
const bool expectedAnotbEmpty = false;
const double expectedUnionTheta = LOWP_THETA;
const int expectedUnionCount = 0;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
TEST_CASE("degenerate estimation") {
auto a = build_sketch(SkType::DEGENERATE, MIDP, GT_MIDP_V); auto b = build_sketch(SkType::ESTIMATION, LOWP, LT_LOWP_V);
const double expectedIntersectTheta = LOWP_THETA;
const int expectedIntersectCount = 0;
const bool expectedIntersectEmpty = false;
const double expectedAnotbTheta = LOWP_THETA;
const int expectedAnotbCount = 0;
const bool expectedAnotbEmpty = false;
const double expectedUnionTheta = LOWP_THETA;
const int expectedUnionCount = 1;
const bool expectedUnionEmpty = false;
checks(a, b,
expectedIntersectTheta, expectedIntersectCount, expectedIntersectEmpty,
expectedAnotbTheta, expectedAnotbCount, expectedAnotbEmpty,
expectedUnionTheta, expectedUnionCount, expectedUnionEmpty);
}
}