use crate::error::{Result, SimulatorError};
use scirs2_core::random::prelude::*;
use std::collections::HashMap;
use super::quantumgravitysimulator_type::QuantumGravitySimulator;
use super::types::{
AdSCFTConfig, AsymptoticSafetyConfig, CDTConfig, ConvergenceInfo, GeometryMeasurements,
GravityApproach, GravityBenchmarkResults, GravitySimulationResult, LQGConfig,
QuantumGravityConfig, QuantumGravityUtils, SpacetimeVertex, TopologyMeasurements,
};
pub fn benchmark_quantum_gravity_simulation() -> Result<GravityBenchmarkResults> {
let approaches = vec![
GravityApproach::LoopQuantumGravity,
GravityApproach::CausalDynamicalTriangulation,
GravityApproach::AsymptoticSafety,
GravityApproach::HolographicGravity,
];
let mut results = Vec::new();
let mut timings = HashMap::new();
for approach in approaches {
let config = QuantumGravityConfig {
gravity_approach: approach,
..Default::default()
};
let start_time = std::time::Instant::now();
let mut simulator = QuantumGravitySimulator::new(config);
let result = simulator.simulate()?;
let elapsed = start_time.elapsed().as_secs_f64();
results.push(result);
timings.insert(format!("{approach:?}"), elapsed);
}
Ok(GravityBenchmarkResults {
approach_results: results,
timing_comparisons: timings,
memory_usage: std::mem::size_of::<QuantumGravitySimulator>(),
accuracy_metrics: HashMap::new(),
})
}
#[cfg(test)]
#[allow(clippy::field_reassign_with_default)]
mod tests {
use super::*;
#[test]
fn test_quantum_gravity_config_creation() {
let config = QuantumGravityConfig::default();
assert_eq!(config.spatial_dimensions, 3);
assert_eq!(config.gravity_approach, GravityApproach::LoopQuantumGravity);
assert!(config.quantum_corrections);
}
#[test]
fn test_lqg_config_creation() {
let lqg_config = LQGConfig::default();
assert_eq!(lqg_config.barbero_immirzi_parameter, 0.2375);
assert_eq!(lqg_config.max_spin, 5.0);
assert!(lqg_config.spin_foam_dynamics);
}
#[test]
fn test_cdt_config_creation() {
let cdt_config = CDTConfig::default();
assert_eq!(cdt_config.num_simplices, 10_000);
assert!(cdt_config.monte_carlo_moves);
}
#[test]
fn test_asymptotic_safety_config() {
let as_config = AsymptoticSafetyConfig::default();
assert_eq!(as_config.truncation_order, 4);
assert!(as_config.higher_derivatives);
}
#[test]
fn test_ads_cft_config() {
let ads_cft_config = AdSCFTConfig::default();
assert_eq!(ads_cft_config.ads_dimension, 5);
assert_eq!(ads_cft_config.cft_dimension, 4);
assert!(ads_cft_config.holographic_entanglement);
}
#[test]
fn test_quantum_gravity_simulator_creation() {
let config = QuantumGravityConfig::default();
let simulator = QuantumGravitySimulator::new(config);
assert!(simulator.spacetime_state.is_none());
assert!(simulator.spin_network.is_none());
}
#[test]
fn test_spacetime_initialization() {
let config = QuantumGravityConfig::default();
let mut simulator = QuantumGravitySimulator::new(config);
assert!(simulator.initialize_spacetime().is_ok());
assert!(simulator.spacetime_state.is_some());
let spacetime = simulator
.spacetime_state
.as_ref()
.expect("spacetime state should be initialized");
assert_eq!(spacetime.metric_field.ndim(), 4);
}
#[test]
fn test_lqg_spin_network_initialization() {
let mut config = QuantumGravityConfig::default();
config.lqg_config = Some(LQGConfig {
num_nodes: 10,
num_edges: 20,
..LQGConfig::default()
});
let mut simulator = QuantumGravitySimulator::new(config);
assert!(simulator.initialize_lqg_spin_network().is_ok());
assert!(simulator.spin_network.is_some());
let spin_network = simulator
.spin_network
.as_ref()
.expect("spin network should be initialized");
assert_eq!(spin_network.nodes.len(), 10);
assert!(spin_network.edges.len() <= 20);
}
#[test]
fn test_cdt_initialization() {
let mut config = QuantumGravityConfig::default();
config.cdt_config = Some(CDTConfig {
num_simplices: 100,
..CDTConfig::default()
});
let mut simulator = QuantumGravitySimulator::new(config);
assert!(simulator.initialize_cdt().is_ok());
assert!(simulator.simplicial_complex.is_some());
let complex = simulator
.simplicial_complex
.as_ref()
.expect("simplicial complex should be initialized");
assert_eq!(complex.simplices.len(), 100);
assert!(!complex.vertices.is_empty());
assert!(!complex.time_slices.is_empty());
}
#[test]
fn test_asymptotic_safety_initialization() {
let mut config = QuantumGravityConfig::default();
config.asymptotic_safety_config = Some(AsymptoticSafetyConfig {
rg_flow_steps: 10,
..AsymptoticSafetyConfig::default()
});
let mut simulator = QuantumGravitySimulator::new(config);
assert!(simulator.initialize_asymptotic_safety().is_ok());
assert!(simulator.rg_trajectory.is_some());
let trajectory = simulator
.rg_trajectory
.as_ref()
.expect("RG trajectory should be initialized");
assert_eq!(trajectory.energy_scales.len(), 10);
assert!(!trajectory.coupling_evolution.is_empty());
}
#[test]
fn test_ads_cft_initialization() {
let config = QuantumGravityConfig::default();
let mut simulator = QuantumGravitySimulator::new(config);
assert!(simulator.initialize_ads_cft().is_ok());
assert!(simulator.holographic_duality.is_some());
let duality = simulator
.holographic_duality
.as_ref()
.expect("holographic duality should be initialized");
assert_eq!(duality.bulk_geometry.ads_radius, 1.0);
assert_eq!(duality.boundary_theory.central_charge, 100.0);
assert!(!duality.entanglement_structure.rt_surfaces.is_empty());
}
#[test]
fn test_su2_element_generation() {
let config = QuantumGravityConfig::default();
let simulator = QuantumGravitySimulator::new(config);
let su2_element = simulator
.generate_su2_element()
.expect("SU(2) element generation should succeed");
assert_eq!(su2_element.shape(), [2, 2]);
let determinant =
su2_element[[0, 0]] * su2_element[[1, 1]] - su2_element[[0, 1]] * su2_element[[1, 0]];
assert!((determinant.norm() - 1.0).abs() < 1e-10);
}
#[test]
fn test_pauli_coefficient_extraction() {
let config = QuantumGravityConfig::default();
let simulator = QuantumGravitySimulator::new(config);
let su2_element = simulator
.generate_su2_element()
.expect("SU(2) element generation should succeed");
let coeffs = simulator.extract_pauli_coefficients(&su2_element);
assert_eq!(coeffs.len(), 4);
let trace = su2_element[[0, 0]] + su2_element[[1, 1]];
assert!((coeffs[0] - trace / 2.0).norm() < 1e-10);
}
#[test]
fn test_simplex_volume_calculation() {
let config = QuantumGravityConfig::default();
let simulator = QuantumGravitySimulator::new(config);
let vertices = vec![
SpacetimeVertex {
id: 0,
coordinates: vec![0.0, 0.0, 0.0, 0.0],
time: 0.0,
coordination: 4,
},
SpacetimeVertex {
id: 1,
coordinates: vec![1.0, 1.0, 0.0, 0.0],
time: 1.0,
coordination: 4,
},
];
let simplex_vertices = vec![0, 1];
let volume = simulator
.calculate_simplex_volume(&vertices, &simplex_vertices)
.expect("simplex volume calculation should succeed");
assert!(volume > 0.0);
}
#[test]
fn test_causal_connection() {
let config = QuantumGravityConfig::default();
let simulator = QuantumGravitySimulator::new(config);
let v1 = SpacetimeVertex {
id: 0,
coordinates: vec![0.0, 0.0, 0.0, 0.0],
time: 0.0,
coordination: 4,
};
let v2 = SpacetimeVertex {
id: 1,
coordinates: vec![1.0, 1.0, 0.0, 0.0],
time: 1.0,
coordination: 4,
};
let is_connected = simulator
.is_causally_connected(&v1, &v2)
.expect("causal connection check should succeed");
assert!(is_connected);
}
#[test]
fn test_beta_function_calculation() {
let config = QuantumGravityConfig::default();
let simulator = QuantumGravitySimulator::new(config);
let beta_g = simulator
.calculate_beta_function("newton_constant", 0.1, &1.0)
.expect("beta function calculation should succeed");
let beta_lambda = simulator
.calculate_beta_function("cosmological_constant", 0.01, &1.0)
.expect("beta function calculation should succeed");
assert!(beta_g.is_finite());
assert!(beta_lambda.is_finite());
}
#[test]
fn test_rt_surface_generation() {
let config = QuantumGravityConfig::default();
let simulator = QuantumGravitySimulator::new(config);
let ads_cft_config = AdSCFTConfig::default();
let surfaces = simulator
.generate_rt_surfaces(&ads_cft_config)
.expect("RT surface generation should succeed");
assert!(!surfaces.is_empty());
for surface in &surfaces {
assert!(surface.area > 0.0);
assert_eq!(surface.coordinates.ncols(), ads_cft_config.ads_dimension);
}
}
#[test]
fn test_lqg_simulation() {
let mut config = QuantumGravityConfig::default();
config.gravity_approach = GravityApproach::LoopQuantumGravity;
config.lqg_config = Some(LQGConfig {
num_nodes: 5,
num_edges: 10,
..LQGConfig::default()
});
let mut simulator = QuantumGravitySimulator::new(config);
let result = simulator.simulate();
assert!(result.is_ok());
let simulation_result = result.expect("LQG simulation should succeed");
assert_eq!(
simulation_result.approach,
GravityApproach::LoopQuantumGravity
);
assert!(simulation_result.spacetime_volume > 0.0);
assert!(!simulation_result.observables.is_empty());
}
#[test]
fn test_cdt_simulation() {
let mut config = QuantumGravityConfig::default();
config.gravity_approach = GravityApproach::CausalDynamicalTriangulation;
config.cdt_config = Some(CDTConfig {
num_simplices: 50,
mc_sweeps: 10,
..CDTConfig::default()
});
let mut simulator = QuantumGravitySimulator::new(config);
let result = simulator.simulate();
assert!(result.is_ok());
let simulation_result = result.expect("CDT simulation should succeed");
assert_eq!(
simulation_result.approach,
GravityApproach::CausalDynamicalTriangulation
);
assert!(simulation_result.spacetime_volume > 0.0);
}
#[test]
fn test_asymptotic_safety_simulation() {
let mut config = QuantumGravityConfig::default();
config.gravity_approach = GravityApproach::AsymptoticSafety;
config.asymptotic_safety_config = Some(AsymptoticSafetyConfig {
rg_flow_steps: 5,
..AsymptoticSafetyConfig::default()
});
let mut simulator = QuantumGravitySimulator::new(config);
let result = simulator.simulate();
assert!(result.is_ok());
let simulation_result = result.expect("Asymptotic Safety simulation should succeed");
assert_eq!(
simulation_result.approach,
GravityApproach::AsymptoticSafety
);
assert!(simulation_result.ground_state_energy.is_finite());
}
#[test]
fn test_ads_cft_simulation() {
let mut config = QuantumGravityConfig::default();
config.gravity_approach = GravityApproach::HolographicGravity;
let mut simulator = QuantumGravitySimulator::new(config);
let result = simulator.simulate();
assert!(result.is_ok());
let simulation_result = result.expect("Holographic Gravity simulation should succeed");
assert_eq!(
simulation_result.approach,
GravityApproach::HolographicGravity
);
assert!(simulation_result.spacetime_volume > 0.0);
assert!(simulation_result
.observables
.contains_key("holographic_complexity"));
}
#[test]
fn test_planck_units() {
let units = QuantumGravityUtils::planck_units();
assert!(units.contains_key("length"));
assert!(units.contains_key("time"));
assert!(units.contains_key("mass"));
assert!(units.contains_key("energy"));
assert_eq!(units["length"], 1.616e-35);
assert_eq!(units["time"], 5.391e-44);
}
#[test]
fn test_approach_comparison() {
let results = vec![GravitySimulationResult {
approach: GravityApproach::LoopQuantumGravity,
ground_state_energy: 1e-10,
spacetime_volume: 1e-105,
geometry_measurements: GeometryMeasurements {
area_spectrum: vec![1e-70],
volume_spectrum: vec![1e-105],
length_spectrum: vec![1e-35],
discrete_curvature: 1e70,
topology_measurements: TopologyMeasurements {
euler_characteristic: 1,
betti_numbers: vec![1],
homology_groups: vec!["Z".to_string()],
fundamental_group: "trivial".to_string(),
},
},
convergence_info: ConvergenceInfo {
iterations: 100,
final_residual: 1e-8,
converged: true,
convergence_history: vec![1e-2, 1e-8],
},
observables: HashMap::new(),
computation_time: 1.0,
}];
let comparison = QuantumGravityUtils::compare_approaches(&results);
assert!(comparison.contains("LoopQuantumGravity"));
assert!(comparison.contains("Energy"));
assert!(comparison.contains("Volume"));
}
#[test]
fn test_physical_constraints_validation() {
let result = GravitySimulationResult {
approach: GravityApproach::LoopQuantumGravity,
ground_state_energy: -1.0,
spacetime_volume: 0.0,
geometry_measurements: GeometryMeasurements {
area_spectrum: vec![1e-70],
volume_spectrum: vec![1e-105],
length_spectrum: vec![1e-35],
discrete_curvature: 1e15,
topology_measurements: TopologyMeasurements {
euler_characteristic: 1,
betti_numbers: vec![1],
homology_groups: vec!["Z".to_string()],
fundamental_group: "trivial".to_string(),
},
},
convergence_info: ConvergenceInfo {
iterations: 100,
final_residual: 1e-8,
converged: true,
convergence_history: vec![1e-2, 1e-8],
},
observables: HashMap::new(),
computation_time: 1.0,
};
let violations = QuantumGravityUtils::validate_physical_constraints(&result);
assert_eq!(violations.len(), 3);
assert!(violations
.iter()
.any(|v| v.contains("Negative ground state energy")));
assert!(violations.iter().any(|v| v.contains("volume")));
assert!(violations.iter().any(|v| v.contains("curvature")));
}
#[test]
#[ignore]
pub(super) fn test_benchmark_quantum_gravity() {
let result = benchmark_quantum_gravity_simulation();
assert!(result.is_ok());
let benchmark = result.expect("benchmark should complete successfully");
assert!(!benchmark.approach_results.is_empty());
assert!(!benchmark.timing_comparisons.is_empty());
assert!(benchmark.memory_usage > 0);
}
}