ca_metrics_test.cc

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/*
                          Aleph_w
 
  Data structures & Algorithms
  version 2.0.0b
  https://github.com/lrleon/Aleph-w
 
  This file is part of Aleph-w library
 
  Copyright (c) 2002-2026 Leandro Rabindranath Leon
 
  Permission is hereby granted, free of charge, to any person obtaining a copy
  of this software and associated documentation files (the "Software"), to deal
  in the Software without restriction, including without limitation the rights
  to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
  copies of the Software, and to permit persons to whom the Software is
  furnished to do so, subject to the following conditions:
 
  The above copyright notice and this permission notice shall be included in all
  copies or substantial portions of the Software.
 
  THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
  IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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  SOFTWARE.
*/
 
#include <cmath>
#include <cstdint>
#include <vector>
 
#include <gtest/gtest.h>
 
#include <ca-metrics.H>
#include <ca-traits.H>
#include <tpl_ca_concepts.H>
#include <tpl_ca_graph_automaton.H>
#include <tpl_ca_lattice.H>
#include <tpl_ca_storage.H>
 
using namespace Aleph;
using namespace Aleph::CA;
 
namespace {
 
using L2 = Lattice<Dense_Cell_Storage<int, 2>, OpenBoundary>;
using L1 = Lattice<Dense_Cell_Storage<int, 1>, OpenBoundary>;
using L3 = Lattice<Dense_Cell_Storage<int, 3>, OpenBoundary>;
 
}  // namespace
 
TEST(CAMetrics, CountStateAndCountAliveAreConsistent)
{
  L2 lat({4, 4}, 0);
  EXPECT_EQ(count_state(lat, 0), 16u);
  EXPECT_EQ(count_state(lat, 1), 0u);
  EXPECT_EQ(count_alive(lat), 0u);
 
  lat.set({1, 1}, 2);
  lat.set({2, 2}, 1);
  lat.set({3, 0}, 1);
  EXPECT_EQ(count_state(lat, 0), 13u);
  EXPECT_EQ(count_state(lat, 1), 2u);
  EXPECT_EQ(count_state(lat, 2), 1u);
  EXPECT_EQ(count_alive(lat), 3u);
}
 
TEST(CAMetrics, DensityIsZeroOnEmptyLattice)
{
  L2 empty({0, 0}, 0);
  EXPECT_DOUBLE_EQ(density(empty, 0), 0.0);
  EXPECT_DOUBLE_EQ(alive_density(empty), 0.0);
}
 
TEST(CAMetrics, DensityMatchesCountOverTotal)
{
  L2 lat({3, 3}, 0);
  lat.set({0, 0}, 1);
  lat.set({1, 1}, 1);
  lat.set({2, 2}, 1);
  EXPECT_DOUBLE_EQ(density(lat, 1), 3.0 / 9.0);
  EXPECT_DOUBLE_EQ(alive_density(lat), 3.0 / 9.0);
}
 
TEST(CAMetrics, StateHistogramSumsToTotal)
{
  L2 lat({4, 4}, 0);
  for (ca_index_t i = 0; i < 4; ++i)
    lat.set({i, i}, static_cast<int>(i % 3));
  const auto h = state_histogram(lat, 4);
  ASSERT_EQ(h.size(), 4u);
  ca_size_t total = 0;
  for (auto c : h)
    total += c;
  EXPECT_EQ(total, 16u);
}
 
TEST(CAMetrics, ShannonEntropyZeroForUniformLattice)
{
  L2 lat({4, 4}, 0);
  EXPECT_DOUBLE_EQ(shannon_entropy(lat, 4), 0.0);
}
 
TEST(CAMetrics, ShannonEntropyForBalancedBinaryReachesLn2)
{
  // Half 0, half 1. Entropy should be ln(2) nats.
  L2 lat({4, 4}, 0);
  for (ca_index_t i = 0; i < 4; ++i)
    for (ca_index_t j = 0; j < 4; ++j)
      lat.set({i, j}, ((i + j) & 1) != 0 ? 1 : 0);
  EXPECT_NEAR(shannon_entropy(lat, 2), std::log(2.0), 1e-12);
}
 
TEST(CAMetrics, FrameHashEqualForEqualFrames)
{
  L2 a({3, 3}, 0);
  L2 b({3, 3}, 0);
  EXPECT_EQ(frame_hash(a), frame_hash(b));
 
  a.set({1, 1}, 1);
  b.set({1, 1}, 1);
  EXPECT_EQ(frame_hash(a), frame_hash(b));
  EXPECT_TRUE(frames_equal(a, b));
}
 
TEST(CAMetrics, FrameHashDiffersForDifferentFrames)
{
  L2 a({3, 3}, 0);
  L2 b({3, 3}, 0);
  a.set({1, 1}, 1);
  b.set({2, 2}, 1);
  EXPECT_NE(frame_hash(a), frame_hash(b));
  EXPECT_FALSE(frames_equal(a, b));
}
 
TEST(CAMetrics, FrameHashStableAcrossLatticeReconstruction)
{
  // Build the same frame twice from independent storage objects;
  // the hash must coincide.
  auto build = []() {
    L2 lat({4, 4}, 0);
    for (ca_index_t i = 0; i < 4; ++i)
      for (ca_index_t j = 0; j < 4; ++j)
        lat.set({i, j}, ((i * 4 + j) % 3 == 0) ? 1 : 0);
    return lat;
  };
  EXPECT_EQ(frame_hash(build()), frame_hash(build()));
}
 
TEST(CAMetrics, CellDiffCountMatchesActivity)
{
  L2 a({4, 4}, 0);
  L2 b({4, 4}, 0);
  EXPECT_EQ(cell_diff_count(a, b), 0u);
 
  a.set({0, 0}, 1);
  a.set({1, 1}, 1);
  a.set({2, 2}, 1);
  EXPECT_EQ(cell_diff_count(a, b), 3u);
 
  b.set({0, 0}, 1);
  b.set({3, 3}, 1);
  // a has alive at (0,0),(1,1),(2,2); b has alive at (0,0),(3,3).
  // Differences: (1,1), (2,2), (3,3) → 3 diffs.
  EXPECT_EQ(cell_diff_count(a, b), 3u);
}
 
TEST(CAMetrics, ForEachCellWalksRank1And3LatticesToo)
{
  L1 a({5}, 0);
  for (ca_index_t i = 0; i < 5; ++i)
    a.set({i}, static_cast<int>(i));
  std::vector<int> seen;
  for_each_cell(a, [&](int v) { seen.push_back(v); });
  EXPECT_EQ(seen, (std::vector<int>{0, 1, 2, 3, 4}));
 
  L3 b({2, 2, 2}, 0);
  ca_size_t cnt = 0;
  for_each_cell(b, [&](int) { ++cnt; });
  EXPECT_EQ(cnt, 8u);
}
 
TEST(CAMetrics, MetricsWorkOnGraphLattice)
{
  Graph_Lattice<int> g(make_path_graph_adjacency(5, true), 0);
  g.set_node(0, 1);
  g.set_node(2, 1);
  EXPECT_EQ(count_state(g, 1), 2u);
  EXPECT_EQ(count_alive(g), 2u);
  EXPECT_DOUBLE_EQ(density(g, 1), 0.4);
 
  // Hash + equality.
  Graph_Lattice<int> g2(make_path_graph_adjacency(5, true), 0);
  g2.set_node(0, 1);
  g2.set_node(2, 1);
  EXPECT_EQ(frame_hash(g), frame_hash(g2));
  EXPECT_TRUE(frames_equal(g, g2));
 
  g2.set_node(4, 1);
  EXPECT_NE(frame_hash(g), frame_hash(g2));
  EXPECT_EQ(cell_diff_count(g, g2), 1u);
}