tuple_sketch_impl.hpp

/*
 * Licensed to the Apache Software Foundation (ASF) under one
 * or more contributor license agreements.  See the NOTICE file
 * distributed with this work for additional information
 * regarding copyright ownership.  The ASF licenses this file
 * to you under the Apache License, Version 2.0 (the
 * "License"); you may not use this file except in compliance
 * with the License.  You may obtain a copy of the License at
 *
 *   http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing,
 * software distributed under the License is distributed on an
 * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
 * KIND, either express or implied.  See the License for the
 * specific language governing permissions and limitations
 * under the License.
 */
 
#include <sstream>
#include <stdexcept>
 
#include "binomial_bounds.hpp"
#include "theta_helpers.hpp"
 
namespace datasketches {
 
template<typename S, typename A>
bool tuple_sketch<S, A>::is_estimation_mode() const {
  return get_theta64() < theta_constants::MAX_THETA && !is_empty();
}
 
template<typename S, typename A>
double tuple_sketch<S, A>::get_theta() const {
  return static_cast<double>(get_theta64()) /
         static_cast<double>(theta_constants::MAX_THETA);
}
 
template<typename S, typename A>
double tuple_sketch<S, A>::get_estimate() const {
  return get_num_retained() / get_theta();
}
 
template<typename S, typename A>
double tuple_sketch<S, A>::get_lower_bound(uint8_t num_std_devs, uint32_t num_subset_entries) const {
    num_subset_entries = std::min(num_subset_entries, get_num_retained()) ;
    if (!is_estimation_mode()) return num_subset_entries;
    return binomial_bounds::get_lower_bound(num_subset_entries, get_theta(), num_std_devs);
}
 
template<typename S, typename A>
double tuple_sketch<S, A>::get_lower_bound(uint8_t num_std_devs) const {
  return get_lower_bound(num_std_devs, get_num_retained()) ;
}
 
template<typename S, typename A>
double tuple_sketch<S, A>::get_upper_bound(uint8_t num_std_devs, uint32_t num_subset_entries) const {
    num_subset_entries = std::min(num_subset_entries, get_num_retained()) ;
    if (!is_estimation_mode()) return num_subset_entries;
    return binomial_bounds::get_upper_bound(num_subset_entries, get_theta(), num_std_devs);
}
 
template<typename S, typename A>
double tuple_sketch<S, A>::get_upper_bound(uint8_t num_std_devs) const {
    return get_upper_bound(num_std_devs, get_num_retained()) ;
}
 
template<typename S, typename A>
string<A> tuple_sketch<S, A>::to_string(bool detail) const {
  // Using a temporary stream for implementation here does not comply with AllocatorAwareContainer requirements.
  // The stream does not support passing an allocator instance, and alternatives are complicated.
  std::ostringstream os;
  os << "### Tuple sketch summary:" << std::endl;
  os << "   num retained entries : " << get_num_retained() << std::endl;
  os << "   seed hash            : " << get_seed_hash() << std::endl;
  os << "   empty?               : " << (is_empty() ? "true" : "false") << std::endl;
  os << "   ordered?             : " << (is_ordered() ? "true" : "false") << std::endl;
  os << "   estimation mode?     : " << (is_estimation_mode() ? "true" : "false") << std::endl;
  os << "   theta (fraction)     : " << get_theta() << std::endl;
  os << "   theta (raw 64-bit)   : " << get_theta64() << std::endl;
  os << "   estimate             : " << this->get_estimate() << std::endl;
  os << "   lower bound 95% conf : " << this->get_lower_bound(2) << std::endl;
  os << "   upper bound 95% conf : " << this->get_upper_bound(2) << std::endl;
  print_specifics(os);
  os << "### End sketch summary" << std::endl;
  if (detail) {
    os << "### Retained entries" << std::endl;
    for (const auto& it: *this) {
      os << it.first << ": " << it.second << std::endl;
    }
    os << "### End retained entries" << std::endl;
  }
  return string<A>(os.str().c_str(), get_allocator());
}
 
// update sketch
 
template<typename S, typename U, typename P, typename A>
update_tuple_sketch<S, U, P, A>::update_tuple_sketch(uint8_t lg_cur_size, uint8_t lg_nom_size, resize_factor rf, float p, uint64_t theta, uint64_t seed, const P& policy, const A& allocator):
policy_(policy),
map_(lg_cur_size, lg_nom_size, rf, p, theta, seed, allocator)
{}
 
template<typename S, typename U, typename P, typename A>
A update_tuple_sketch<S, U, P, A>::get_allocator() const {
  return map_.allocator_;
}
 
template<typename S, typename U, typename P, typename A>
bool update_tuple_sketch<S, U, P, A>::is_empty() const {
  return map_.is_empty_;
}
 
template<typename S, typename U, typename P, typename A>
bool update_tuple_sketch<S, U, P, A>::is_ordered() const {
  return map_.num_entries_ > 1 ? false : true;;
}
 
template<typename S, typename U, typename P, typename A>
uint64_t update_tuple_sketch<S, U, P, A>::get_theta64() const {
  return is_empty() ? theta_constants::MAX_THETA : map_.theta_;
}
 
template<typename S, typename U, typename P, typename A>
uint32_t update_tuple_sketch<S, U, P, A>::get_num_retained() const {
  return map_.num_entries_;
}
 
template<typename S, typename U, typename P, typename A>
uint16_t update_tuple_sketch<S, U, P, A>::get_seed_hash() const {
  return compute_seed_hash(map_.seed_);
}
 
template<typename S, typename U, typename P, typename A>
uint8_t update_tuple_sketch<S, U, P, A>::get_lg_k() const {
  return map_.lg_nom_size_;
}
 
template<typename S, typename U, typename P, typename A>
auto update_tuple_sketch<S, U, P, A>::get_rf() const -> resize_factor {
  return map_.rf_;
}
 
template<typename S, typename U, typename P, typename A>
template<typename UU>
void update_tuple_sketch<S, U, P, A>::update(uint64_t key, UU&& value) {
  update(&key, sizeof(key), std::forward<UU>(value));
}
 
template<typename S, typename U, typename P, typename A>
template<typename UU>
void update_tuple_sketch<S, U, P, A>::update(int64_t key, UU&& value) {
  update(&key, sizeof(key), std::forward<UU>(value));
}
 
template<typename S, typename U, typename P, typename A>
template<typename UU>
void update_tuple_sketch<S, U, P, A>::update(uint32_t key, UU&& value) {
  update(static_cast<int32_t>(key), std::forward<UU>(value));
}
 
template<typename S, typename U, typename P, typename A>
template<typename UU>
void update_tuple_sketch<S, U, P, A>::update(int32_t key, UU&& value) {
  update(static_cast<int64_t>(key), std::forward<UU>(value));
}
 
template<typename S, typename U, typename P, typename A>
template<typename UU>
void update_tuple_sketch<S, U, P, A>::update(uint16_t key, UU&& value) {
  update(static_cast<int16_t>(key), std::forward<UU>(value));
}
 
template<typename S, typename U, typename P, typename A>
template<typename UU>
void update_tuple_sketch<S, U, P, A>::update(int16_t key, UU&& value) {
  update(static_cast<int64_t>(key), std::forward<UU>(value));
}
 
template<typename S, typename U, typename P, typename A>
template<typename UU>
void update_tuple_sketch<S, U, P, A>::update(uint8_t key, UU&& value) {
  update(static_cast<int8_t>(key), std::forward<UU>(value));
}
 
template<typename S, typename U, typename P, typename A>
template<typename UU>
void update_tuple_sketch<S, U, P, A>::update(int8_t key, UU&& value) {
  update(static_cast<int64_t>(key), std::forward<UU>(value));
}
 
template<typename S, typename U, typename P, typename A>
template<typename UU>
void update_tuple_sketch<S, U, P, A>::update(const std::string& key, UU&& value) {
  if (key.empty()) return;
  update(key.c_str(), key.length(), std::forward<UU>(value));
}
 
template<typename S, typename U, typename P, typename A>
template<typename UU>
void update_tuple_sketch<S, U, P, A>::update(double key, UU&& value) {
  update(canonical_double(key), std::forward<UU>(value));
}
 
template<typename S, typename U, typename P, typename A>
template<typename UU>
void update_tuple_sketch<S, U, P, A>::update(float key, UU&& value) {
  update(static_cast<double>(key), std::forward<UU>(value));
}
 
template<typename S, typename U, typename P, typename A>
template<typename UU>
void update_tuple_sketch<S, U, P, A>::update(const void* key, size_t length, UU&& value) {
  const uint64_t hash = map_.hash_and_screen(key, length);
  if (hash == 0) return;
  auto result = map_.find(hash);
  if (!result.second) {
    S summary = policy_.create();
    policy_.update(summary, std::forward<UU>(value));
    map_.insert(result.first, Entry(hash, std::move(summary)));
  } else {
    policy_.update((*result.first).second, std::forward<UU>(value));
  }
}
 
template<typename S, typename U, typename P, typename A>
void update_tuple_sketch<S, U, P, A>::trim() {
  map_.trim();
}
 
template<typename S, typename U, typename P, typename A>
void update_tuple_sketch<S, U, P, A>::reset() {
  map_.reset();
}
 
template<typename S, typename U, typename P, typename A>
auto update_tuple_sketch<S, U, P, A>::begin() -> iterator {
  return iterator(map_.entries_, 1 << map_.lg_cur_size_, 0);
}
 
template<typename S, typename U, typename P, typename A>
auto update_tuple_sketch<S, U, P, A>::end() -> iterator {
  return iterator(nullptr, 0, 1 << map_.lg_cur_size_);
}
 
template<typename S, typename U, typename P, typename A>
auto update_tuple_sketch<S, U, P, A>::begin() const -> const_iterator {
  return const_iterator(map_.entries_, 1 << map_.lg_cur_size_, 0);
}
 
template<typename S, typename U, typename P, typename A>
auto update_tuple_sketch<S, U, P, A>::end() const -> const_iterator {
  return const_iterator(nullptr, 0, 1 << map_.lg_cur_size_);
}
 
template<typename S, typename U, typename P, typename A>
compact_tuple_sketch<S, A> update_tuple_sketch<S, U, P, A>::compact(bool ordered) const {
  return compact_tuple_sketch<S, A>(*this, ordered);
}
 
template<typename S, typename U, typename P, typename A>
void update_tuple_sketch<S, U, P, A>::print_specifics(std::ostringstream& os) const {
  os << "   lg nominal size      : " << (int) map_.lg_nom_size_ << std::endl;
  os << "   lg current size      : " << (int) map_.lg_cur_size_ << std::endl;
  os << "   resize factor        : " << (1 << map_.rf_) << std::endl;
}
 
// compact sketch
 
template<typename S, typename A>
compact_tuple_sketch<S, A>::compact_tuple_sketch(bool is_empty, bool is_ordered, uint16_t seed_hash, uint64_t theta,
    std::vector<Entry, AllocEntry>&& entries):
is_empty_(is_empty),
is_ordered_(is_ordered || (entries.size() <= 1ULL)),
seed_hash_(seed_hash),
theta_(theta),
entries_(std::move(entries))
{}
 
template<typename S, typename A>
compact_tuple_sketch<S, A>::compact_tuple_sketch(const Base& other, bool ordered):
is_empty_(other.is_empty()),
is_ordered_(other.is_ordered() || ordered),
seed_hash_(other.get_seed_hash()),
theta_(other.get_theta64()),
entries_(other.get_allocator())
{
  entries_.reserve(other.get_num_retained());
  std::copy(other.begin(), other.end(), std::back_inserter(entries_));
  if (ordered && !other.is_ordered()) std::sort(entries_.begin(), entries_.end(), comparator());
}
 
template<typename S, typename A>
compact_tuple_sketch<S, A>::compact_tuple_sketch(compact_tuple_sketch&& other) noexcept:
is_empty_(other.is_empty()),
is_ordered_(other.is_ordered()),
seed_hash_(other.get_seed_hash()),
theta_(other.get_theta64()),
entries_(std::move(other.entries_))
{}
 
template<typename S, typename A>
compact_tuple_sketch<S, A>::compact_tuple_sketch(const theta_sketch_alloc<AllocU64>& other, const S& summary, bool ordered):
is_empty_(other.is_empty()),
is_ordered_(other.is_ordered() || ordered),
seed_hash_(other.get_seed_hash()),
theta_(other.get_theta64()),
entries_(other.get_allocator())
{
  entries_.reserve(other.get_num_retained());
  for (uint64_t hash: other) {
    entries_.push_back(Entry(hash, summary));
  }
  if (ordered && !other.is_ordered()) std::sort(entries_.begin(), entries_.end(), comparator());
}
 
template<typename S, typename A>
A compact_tuple_sketch<S, A>::get_allocator() const {
  return entries_.get_allocator();
}
 
template<typename S, typename A>
bool compact_tuple_sketch<S, A>::is_empty() const {
  return is_empty_;
}
 
template<typename S, typename A>
bool compact_tuple_sketch<S, A>::is_ordered() const {
  return is_ordered_;
}
 
template<typename S, typename A>
uint64_t compact_tuple_sketch<S, A>::get_theta64() const {
  return theta_;
}
 
template<typename S, typename A>
uint32_t compact_tuple_sketch<S, A>::get_num_retained() const {
  return static_cast<uint32_t>(entries_.size());
}
 
template<typename S, typename A>
uint16_t compact_tuple_sketch<S, A>::get_seed_hash() const {
  return seed_hash_;
}
 
// implementation for fixed-size arithmetic types (integral and floating point)
template<typename S, typename A>
template<typename SD, typename SS, typename std::enable_if<std::is_arithmetic<SS>::value, int>::type>
size_t compact_tuple_sketch<S, A>::get_serialized_size_summaries_bytes(const SD& sd) const {
  unused(sd);
  return entries_.size() * sizeof(SS);
}
 
// implementation for all other types (non-arithmetic)
template<typename S, typename A>
template<typename SD, typename SS, typename std::enable_if<!std::is_arithmetic<SS>::value, int>::type>
size_t compact_tuple_sketch<S, A>::get_serialized_size_summaries_bytes(const SD& sd) const {
  size_t size = 0;
  for (const auto& it: entries_) {
    size += sd.size_of_item(it.second);
  }
  return size;
}
 
template<typename S, typename A>
template<typename SerDe>
void compact_tuple_sketch<S, A>::serialize(std::ostream& os, const SerDe& sd) const {
  const uint8_t preamble_longs = this->is_estimation_mode() ? 3 : this->is_empty() || entries_.size() == 1 ? 1 : 2;
  write(os, preamble_longs);
  const uint8_t serial_version = SERIAL_VERSION;
  write(os, serial_version);
  const uint8_t family = SKETCH_FAMILY;
  write(os, family);
  const uint8_t type = SKETCH_TYPE;
  write(os, type);
  const uint8_t unused8 = 0;
  write(os, unused8);
  const uint8_t flags_byte(
    (1 << flags::IS_COMPACT) |
    (1 << flags::IS_READ_ONLY) |
    (this->is_empty() ? 1 << flags::IS_EMPTY : 0) |
    (this->is_ordered() ? 1 << flags::IS_ORDERED : 0)
  );
  write(os, flags_byte);
  const uint16_t seed_hash = get_seed_hash();
  write(os, seed_hash);
  if (preamble_longs > 1) {
    const uint32_t num_entries = static_cast<uint32_t>(entries_.size());
    write(os, num_entries);
    const uint32_t unused32 = 0;
    write(os, unused32);
  }
  if (this->is_estimation_mode()) {
    write(os, this->theta_);
  }
  for (const auto& it: entries_) {
    write(os, it.first);
    sd.serialize(os, &it.second, 1);
  }
}
 
template<typename S, typename A>
template<typename SerDe>
auto compact_tuple_sketch<S, A>::serialize(unsigned header_size_bytes, const SerDe& sd) const -> vector_bytes {
  const uint8_t preamble_longs = this->is_estimation_mode() ? 3 : this->is_empty() || entries_.size() == 1 ? 1 : 2;
  const size_t size = header_size_bytes + sizeof(uint64_t) * preamble_longs
      + sizeof(uint64_t) * entries_.size() + get_serialized_size_summaries_bytes(sd);
  vector_bytes bytes(size, 0, entries_.get_allocator());
  uint8_t* ptr = bytes.data() + header_size_bytes;
  const uint8_t* end_ptr = ptr + size;
 
  ptr += copy_to_mem(preamble_longs, ptr);
  const uint8_t serial_version = SERIAL_VERSION;
  ptr += copy_to_mem(serial_version, ptr);
  const uint8_t family = SKETCH_FAMILY;
  ptr += copy_to_mem(family, ptr);
  const uint8_t type = SKETCH_TYPE;
  ptr += copy_to_mem(type, ptr);
  ptr += sizeof(uint8_t); // unused
  const uint8_t flags_byte(
    (1 << flags::IS_COMPACT) |
    (1 << flags::IS_READ_ONLY) |
    (this->is_empty() ? 1 << flags::IS_EMPTY : 0) |
    (this->is_ordered() ? 1 << flags::IS_ORDERED : 0)
  );
  ptr += copy_to_mem(flags_byte, ptr);
  const uint16_t seed_hash = get_seed_hash();
  ptr += copy_to_mem(seed_hash, ptr);
  if (preamble_longs > 1) {
    const uint32_t num_entries = static_cast<uint32_t>(entries_.size());
    ptr += copy_to_mem(num_entries, ptr);
    ptr += sizeof(uint32_t); // unused
  }
  if (this->is_estimation_mode()) {
    ptr += copy_to_mem(theta_, ptr);
  }
  for (const auto& it: entries_) {
    ptr += copy_to_mem(it.first, ptr);
    ptr += sd.serialize(ptr, end_ptr - ptr, &it.second, 1);
  }
  return bytes;
}
 
template<typename S, typename A>
template<typename SerDe>
compact_tuple_sketch<S, A> compact_tuple_sketch<S, A>::deserialize(std::istream& is, uint64_t seed, const SerDe& sd, const A& allocator) {
  const auto preamble_longs = read<uint8_t>(is);
  const auto serial_version = read<uint8_t>(is);
  const auto family = read<uint8_t>(is);
  const auto type = read<uint8_t>(is);
  read<uint8_t>(is); // unused
  const auto flags_byte = read<uint8_t>(is);
  const auto seed_hash = read<uint16_t>(is);
  if (serial_version != SERIAL_VERSION && serial_version != SERIAL_VERSION_LEGACY) {
    throw std::invalid_argument("serial version mismatch: expected " + std::to_string(SERIAL_VERSION) + " or "
        + std::to_string(SERIAL_VERSION_LEGACY) + ", actual " + std::to_string(serial_version));
  }
  checker<true>::check_sketch_family(family, SKETCH_FAMILY);
  if (type != SKETCH_TYPE && type != SKETCH_TYPE_LEGACY) {
    throw std::invalid_argument("sketch type mismatch: expected " + std::to_string(SKETCH_TYPE) + " or "
        + std::to_string(SKETCH_TYPE_LEGACY) + ", actual " + std::to_string(type));
  }
  const bool is_empty = flags_byte & (1 << flags::IS_EMPTY);
  if (!is_empty) checker<true>::check_seed_hash(seed_hash, compute_seed_hash(seed));
 
  uint64_t theta = theta_constants::MAX_THETA;
  uint32_t num_entries = 0;
  if (!is_empty) {
    if (preamble_longs == 1) {
      num_entries = 1;
    } else {
      num_entries = read<uint32_t>(is);
      read<uint32_t>(is); // unused
      if (preamble_longs > 2) {
        theta = read<uint64_t>(is);
      }
    }
  }
  A alloc(allocator);
  std::vector<Entry, AllocEntry> entries(alloc);
  if (!is_empty) {
    entries.reserve(num_entries);
    std::unique_ptr<S, deleter_of_summaries> summary(alloc.allocate(1), deleter_of_summaries(1, false, allocator));
    for (size_t i = 0; i < num_entries; ++i) {
      const auto key = read<uint64_t>(is);
      sd.deserialize(is, summary.get(), 1);
      entries.push_back(Entry(key, std::move(*summary)));
      (*summary).~S();
    }
  }
  if (!is.good()) throw std::runtime_error("error reading from std::istream");
  const bool is_ordered = flags_byte & (1 << flags::IS_ORDERED);
  return compact_tuple_sketch(is_empty, is_ordered, seed_hash, theta, std::move(entries));
}
 
template<typename S, typename A>
template<typename SerDe>
compact_tuple_sketch<S, A> compact_tuple_sketch<S, A>::deserialize(const void* bytes, size_t size, uint64_t seed, const SerDe& sd, const A& allocator) {
  ensure_minimum_memory(size, 8);
  const char* ptr = static_cast<const char*>(bytes);
  const char* base = ptr;
  uint8_t preamble_longs;
  ptr += copy_from_mem(ptr, preamble_longs);
  uint8_t serial_version;
  ptr += copy_from_mem(ptr, serial_version);
  uint8_t family;
  ptr += copy_from_mem(ptr, family);
  uint8_t type;
  ptr += copy_from_mem(ptr, type);
  ptr += sizeof(uint8_t); // unused
  uint8_t flags_byte;
  ptr += copy_from_mem(ptr, flags_byte);
  uint16_t seed_hash;
  ptr += copy_from_mem(ptr, seed_hash);
  if (serial_version != SERIAL_VERSION && serial_version != SERIAL_VERSION_LEGACY) {
    throw std::invalid_argument("serial version mismatch: expected " + std::to_string(SERIAL_VERSION) + " or "
        + std::to_string(SERIAL_VERSION_LEGACY) + ", actual " + std::to_string(serial_version));
  }
  checker<true>::check_sketch_family(family, SKETCH_FAMILY);
  if (type != SKETCH_TYPE && type != SKETCH_TYPE_LEGACY) {
    throw std::invalid_argument("sketch type mismatch: expected " + std::to_string(SKETCH_TYPE) + " or "
        + std::to_string(SKETCH_TYPE_LEGACY) + ", actual " + std::to_string(type));
  }
  const bool is_empty = flags_byte & (1 << flags::IS_EMPTY);
  if (!is_empty) checker<true>::check_seed_hash(seed_hash, compute_seed_hash(seed));
 
  uint64_t theta = theta_constants::MAX_THETA;
  uint32_t num_entries = 0;
 
  if (!is_empty) {
    if (preamble_longs == 1) {
      num_entries = 1;
    } else {
      ensure_minimum_memory(size, 8); // read the first prelong before this method
      ptr += copy_from_mem(ptr, num_entries);
      ptr += sizeof(uint32_t); // unused
      if (preamble_longs > 2) {
        ensure_minimum_memory(size, (preamble_longs - 1) << 3);
        ptr += copy_from_mem(ptr, theta);
      }
    }
  }
  const size_t keys_size_bytes = sizeof(uint64_t) * num_entries;
  ensure_minimum_memory(size, ptr - base + keys_size_bytes);
  A alloc(allocator);
  std::vector<Entry, AllocEntry> entries(alloc);
  if (!is_empty) {
    entries.reserve(num_entries);
    std::unique_ptr<S, deleter_of_summaries> summary(alloc.allocate(1), deleter_of_summaries(1, false, allocator));
    for (size_t i = 0; i < num_entries; ++i) {
      uint64_t key;
      ptr += copy_from_mem(ptr, key);
      ptr += sd.deserialize(ptr, base + size - ptr, summary.get(), 1);
      entries.push_back(Entry(key, std::move(*summary)));
      (*summary).~S();
    }
  }
  const bool is_ordered = flags_byte & (1 << flags::IS_ORDERED);
  return compact_tuple_sketch(is_empty, is_ordered, seed_hash, theta, std::move(entries));
}
 
template<typename S, typename A>
auto compact_tuple_sketch<S, A>::begin() -> iterator {
  return iterator(entries_.data(), static_cast<uint32_t>(entries_.size()), 0);
}
 
template<typename S, typename A>
auto compact_tuple_sketch<S, A>::end() -> iterator {
  return iterator(nullptr, 0, static_cast<uint32_t>(entries_.size()));
}
 
template<typename S, typename A>
auto compact_tuple_sketch<S, A>::begin() const -> const_iterator {
  return const_iterator(entries_.data(), static_cast<uint32_t>(entries_.size()), 0);
}
 
template<typename S, typename A>
auto compact_tuple_sketch<S, A>::end() const -> const_iterator {
  return const_iterator(nullptr, 0, static_cast<uint32_t>(entries_.size()));
}
 
template<typename S, typename A>
void compact_tuple_sketch<S, A>::print_specifics(std::ostringstream&) const {}
 
// builder
 
template<typename D, typename P, typename A>
tuple_base_builder<D, P, A>::tuple_base_builder(const P& policy, const A& allocator):
theta_base_builder<D, A>(allocator), policy_(policy) {}
 
template<typename S, typename U, typename P, typename A>
update_tuple_sketch<S, U, P, A>::builder::builder(const P& policy, const A& allocator):
tuple_base_builder<builder, P, A>(policy, allocator) {}
 
template<typename S, typename U, typename P, typename A>
auto update_tuple_sketch<S, U, P, A>::builder::build() const -> update_tuple_sketch {
  return update_tuple_sketch(this->starting_lg_size(), this->lg_k_, this->rf_, this->p_, this->starting_theta(), this->seed_, this->policy_, this->allocator_);
}
 
} /* namespace datasketches */