S3Action_test.cpp

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/*******************************************************************************
 Causal Dynamical Triangulations in C++ using CGAL
 
 Copyright © 2017 Adam Getchell
 ******************************************************************************/
 
 
#include "S3Action.hpp"
 
#include <doctest/doctest.h>
 
#include "Manifold.hpp"
 
using namespace std;
using namespace manifolds;
 
SCENARIO("Calculate the bulk action on S3 triangulations" *
         doctest::test_suite("s3action"))
{
  spdlog::debug("Calculate the bulk action on S3 triangulations.\n");
  GIVEN("A 3D 2-sphere foliated triangulation.")
  {
    auto constexpr simplices  = 6400;
    auto constexpr timeslices = 7;
    auto constexpr K          = 1.1L;  // NOLINT
    auto constexpr Lambda     = 0.1L;
    Manifold_3 const universe(simplices, timeslices);
    // Verify triangulation
    CHECK_EQ(universe.N3(), universe.simplices());
    CHECK_EQ(universe.N1(), universe.edges());
    CHECK_EQ(universe.N0(), universe.vertices());
    CHECK_EQ(universe.dimensionality(), 3);
    CHECK(universe.is_correct());
 
    universe.print_volume_per_timeslice();
 
    CHECK_EQ(universe.max_time(), timeslices);
    CHECK_EQ(universe.min_time(), 1);
    WHEN("The alpha=-1 Bulk Action is calculated.")
    {
      auto Bulk_action = S3_bulk_action_alpha_minus_one(
          universe.N1_TL(), universe.N3_31_13(), universe.N3_22(), K, Lambda);
      THEN("The action falls within accepted values.")
      {
        spdlog::debug("S3_bulk_action_alpha_minus_one() = {}\n",
                      Bulk_action.to_double());
        REQUIRE_LE(3500, Bulk_action);
        REQUIRE_LE(Bulk_action, 4500);
      }
    }
    WHEN("The alpha=1 Bulk Action is calculated.")
    {
      auto Bulk_action = S3_bulk_action_alpha_one(
          universe.N1_TL(), universe.N3_31_13(), universe.N3_22(), K, Lambda);
      THEN("The action falls within accepted values.")
      {
        spdlog::debug("S3_bulk_action_alpha_one() = {}\n",
                      Bulk_action.to_double());
        REQUIRE_LE(2000, Bulk_action);
        REQUIRE_LE(Bulk_action, 3000);
      }
    }
    WHEN("The generalized Bulk Action is calculated.")
    {
      auto constexpr Alpha = 0.6L;
      spdlog::debug("(Long double) Alpha = {}\n", Alpha);
      auto Bulk_action = S3_bulk_action(universe.N1_TL(), universe.N3_31_13(),
                                        universe.N3_22(), Alpha, K, Lambda);
      THEN("The action falls within accepted values.")
      {
        spdlog::debug("S3_bulk_action() = {}\n", Bulk_action.to_double());
        REQUIRE_LE(2700, Bulk_action);
        REQUIRE_LE(Bulk_action, 3700);
      }
    }
    WHEN(
        "S3_bulk_action(alpha=1) and S3_bulk_action_alpha_one() are "
        "calculated.")
    {
      auto constexpr Alpha = 1.0L;
      auto Bulk_action = S3_bulk_action(universe.N1_TL(), universe.N3_31_13(),
                                        universe.N3_22(), Alpha, K, Lambda);
      auto Bulk_action_one = S3_bulk_action_alpha_one(
          universe.N1_TL(), universe.N3_31_13(), universe.N3_22(), K, Lambda);
      THEN(
          "S3_bulk_action(alpha=1) == S3_bulk_action_alpha_one() within "
          "tolerances.")
      {
        spdlog::debug("S3_bulk_action() = {}\n", Bulk_action.to_double());
        spdlog::debug("S3_bulk_action_alpha_one() = {}\n",
                      Bulk_action_one.to_double());
        REQUIRE(utilities::Gmpzf_to_double(Bulk_action_one) ==
                doctest::Approx(utilities::Gmpzf_to_double(Bulk_action))
                    .epsilon(TOLERANCE));
      }
    }
  }
}