Geometry_test.cpp

Go to the documentation of this file.

/*******************************************************************************
 Causal Dynamical Triangulations in C++ using CGAL
 
 Copyright © 2018 Adam Getchell
 ******************************************************************************/
 
 
#include "Geometry.hpp"
 
#include <doctest/doctest.h>
 
using namespace std;
using namespace foliated_triangulations;
 
SCENARIO("Geometry special member and swap properties" *
         doctest::test_suite("geometry"))
{
  spdlog::debug("Geometry special member and swap properties.\n");
  GIVEN("A 3-dimensional geometry.")
  {
    WHEN("Special members are examined.")
    {
      THEN("It is trivially destructible.")
      {
        REQUIRE(is_trivially_destructible_v<Geometry_3>);
        spdlog::debug("It is trivially destructible.\n");
      }
      THEN("It is no-throw default constructible.")
      {
        REQUIRE(is_nothrow_default_constructible_v<Geometry_3>);
        spdlog::debug("It is no-throw default constructible.\n");
      }
      THEN("It is no-throw copy constructible.")
      {
        REQUIRE(is_nothrow_copy_constructible_v<Geometry_3>);
        spdlog::debug("It is no-throw copy constructible.\n");
      }
      THEN("It is no-throw copy assignable.")
      {
        REQUIRE(is_nothrow_copy_assignable_v<Geometry_3>);
        spdlog::debug("It is no-throw copy assignable.\n");
      }
      THEN("It is no-throw move constructible.")
      {
        REQUIRE(is_nothrow_move_constructible_v<Geometry_3>);
        spdlog::debug("It is no-throw move constructible.\n");
      }
      THEN("It is no-throw move assignable.")
      {
        REQUIRE(is_nothrow_move_assignable_v<Geometry_3>);
        spdlog::debug("It is no-throw move assignable.\n");
      }
      THEN("It is no-throw swappable.")
      {
        REQUIRE(is_nothrow_swappable_v<Geometry_3>);
        spdlog::debug("It is no-throw swappable.\n");
      }
    }
  }
}
 
SCENARIO("3-Geometry classification" * doctest::test_suite("geometry"))
{
  spdlog::debug("3-Geometry classification.\n");
  GIVEN("A small 3-dimensional geometry.")
  {
    WHEN("It is constructed with a Delaunay triangulation.")
    {
      auto constexpr desired_simplices  = 72;
      auto constexpr desired_timeslices = 3;
      FoliatedTriangulation_3 const triangulation(desired_simplices,
                                                  desired_timeslices);
      Geometry_3                    geometry(triangulation);
      THEN("The Delaunay triangulation is described by the geometry.")
      {
        fmt::print("There are {} simplices ...\n", geometry.N3);
        fmt::print(
            "There are {} (3,1) simplices and {} (2,2) simplices and {} (1,3) "
            "simplices.\n",
            geometry.N3_31, geometry.N3_22, geometry.N3_13);
        CHECK_GT(geometry.N3, 2);
        CHECK_EQ(geometry.N3, static_cast<Int_precision>(
                                  triangulation.number_of_finite_cells()));
        CHECK_EQ(geometry.N3_31, static_cast<Int_precision>(
                                     triangulation.get_three_one().size()));
        CHECK_EQ(geometry.N3_13, static_cast<Int_precision>(
                                     triangulation.get_one_three().size()));
        CHECK_EQ(geometry.N3_31 + geometry.N3_22 + geometry.N3_13, geometry.N3);
        CHECK_EQ(geometry.N3_22, static_cast<Int_precision>(
                                     triangulation.get_two_two().size()));
        CHECK_EQ(geometry.N2, static_cast<Int_precision>(
                                  triangulation.number_of_finite_facets()));
        CHECK_EQ(geometry.N1, static_cast<Int_precision>(
                                  triangulation.number_of_finite_edges()));
        CHECK_NE(geometry.N1_TL, 0);
        CHECK_NE(geometry.N1_SL, 0);
        CHECK_EQ(geometry.N1, geometry.N1_TL + geometry.N1_SL);
        CHECK_EQ(geometry.N0, static_cast<Int_precision>(
                                  triangulation.number_of_vertices()));
 
        // Human verification
        fmt::print("There are {} edges.\n", geometry.N1);
        fmt::print("There are {} timelike edges and {} spacelike edges.\n",
                   geometry.N1_TL, geometry.N1_SL);
#ifndef NDEBUG
        triangulation.print_cells();
        triangulation.print_edges();
#endif
        fmt::print(
            "There are {} vertices with a max timevalue of {} and a min "
            "timevalue of {}.\n",
            geometry.N0, triangulation.max_time(), triangulation.min_time());
        triangulation.print_volume_per_timeslice();
      }
    }
  }
}
 
SCENARIO("3-Geometry initialization" * doctest::test_suite("geometry"))
{
  spdlog::debug("3-Geometry initialization.\n");
  GIVEN("A 3-dimensional geometry.")
  {
    WHEN("It is default constructed.")
    {
      THEN("All data members are zero-initialized.")
      {
        Geometry_3 constexpr geometry;
        REQUIRE_EQ(geometry.N3, 0);
        REQUIRE_EQ(geometry.N3_31, 0);
        REQUIRE_EQ(geometry.N3_13, 0);
        REQUIRE_EQ(geometry.N3_22, 0);
        REQUIRE_EQ(geometry.N2, 0);
        REQUIRE_EQ(geometry.N1, 0);
        REQUIRE_EQ(geometry.N1_TL, 0);
        REQUIRE_EQ(geometry.N1_SL, 0);
        REQUIRE_EQ(geometry.N0, 0);
      }
    }
    WHEN("It is constructed with a triangulation.")
    {
      auto constexpr desired_simplices  = 640;
      auto constexpr desired_timeslices = 4;
      FoliatedTriangulation_3 const triangulation(desired_simplices,
                                                  desired_timeslices);
      Geometry_3 const              geometry(triangulation);
      THEN(
          "The properties of the Delaunay triangulation are saved in geometry "
          "info.")
      {
        CHECK_EQ(geometry.N3, static_cast<Int_precision>(
                                  triangulation.number_of_finite_cells()));
        CHECK_EQ(geometry.N3_31, static_cast<Int_precision>(
                                     triangulation.get_three_one().size()));
        CHECK_EQ(geometry.N3_13, static_cast<Int_precision>(
                                     triangulation.get_one_three().size()));
        CHECK_EQ(geometry.N3_31 + geometry.N3_22 + geometry.N3_13, geometry.N3);
        CHECK_EQ(geometry.N3_22, static_cast<Int_precision>(
                                     triangulation.get_two_two().size()));
        CHECK_EQ(geometry.N2, static_cast<Int_precision>(
                                  triangulation.number_of_finite_facets()));
        CHECK_EQ(geometry.N1, static_cast<Int_precision>(
                                  triangulation.number_of_finite_edges()));
        CHECK_NE(geometry.N1_TL, 0);
        CHECK_NE(geometry.N1_SL, 0);
        CHECK_EQ(geometry.N1_TL + geometry.N1_SL, geometry.N1);
        CHECK_EQ(geometry.N0, static_cast<Int_precision>(
                                  triangulation.number_of_vertices()));
        triangulation.print();
        triangulation.print_volume_per_timeslice();
      }
    }
  }
}