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AMSS-NCKU/AMSS_NCKU_Verify_ASC26.py
CGH0S7 9deeda9831 Refactor verification method and optimize numerical kernels with oneMKL BLAS
This commit transitions the verification approach from post-Newtonian theory
   comparison to regression testing against baseline simulations, and optimizes
   critical numerical kernels using Intel oneMKL BLAS routines.

   Verification Changes:
   - Replace PN theory-based RMS calculation with trajectory-based comparison
   - Compare optimized results against baseline (GW150914-origin) on XY plane
   - Compute RMS independently for BH1 and BH2, report maximum as final metric
   - Update documentation to reflect new regression test methodology

   Performance Optimizations:
   - Replace manual vector operations with oneMKL BLAS routines:
     * norm2() and scalarproduct() now use cblas_dnrm2/cblas_ddot (C++)
     * L2 norm calculations use DDOT for dot products (Fortran)
     * Interpolation weighted sums use DDOT (Fortran)
   - Disable OpenMP threading (switch to sequential MKL) for better performance

   Build Configuration:
   - Switch from lmkl_intel_thread to lmkl_sequential
   - Remove -qopenmp flags from compiler options
   - Maintain aggressive optimization flags (-O3, -xHost, -fp-model fast=2, -fma)

   Other Changes:
   - Update .gitignore for GW150914-origin, docs, and temporary files
2026-01-18 14:25:21 +08:00

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#!/usr/bin/env python3
"""
AMSS-NCKU GW150914 Simulation Regression Test Script
Verification Requirements:
1. XY-plane trajectory RMS error < 1% (Optimized vs. baseline, max of BH1 and BH2)
2. ADM constraint violation < 2 (Grid Level 0)
RMS Calculation Method:
- Computes trajectory deviation on the XY plane independently for BH1 and BH2
- For each black hole: RMS = sqrt((1/M) * sum((Δr_i / r_i^max)^2)) × 100%
- Final RMS = max(RMS_BH1, RMS_BH2)
Usage: python3 AMSS_NCKU_Verify_ASC26.py [output_dir]
Default: output_dir = GW150914/AMSS_NCKU_output
Reference: GW150914-origin (baseline simulation)
"""
import numpy as np
import sys
import os
# ANSI Color Codes
class Color:
GREEN = '\033[92m'
RED = '\033[91m'
YELLOW = '\033[93m'
BLUE = '\033[94m'
BOLD = '\033[1m'
RESET = '\033[0m'
def get_status_text(passed):
if passed:
return f"{Color.GREEN}{Color.BOLD}PASS{Color.RESET}"
else:
return f"{Color.RED}{Color.BOLD}FAIL{Color.RESET}"
def load_bh_trajectory(filepath):
"""Load black hole trajectory data"""
data = np.loadtxt(filepath)
return {
'time': data[:, 0],
'x1': data[:, 1], 'y1': data[:, 2], 'z1': data[:, 3],
'x2': data[:, 4], 'y2': data[:, 5], 'z2': data[:, 6]
}
def load_constraint_data(filepath):
"""Load constraint violation data"""
data = []
with open(filepath, 'r') as f:
for line in f:
if line.startswith('#'):
continue
parts = line.split()
if len(parts) >= 8:
data.append([float(x) for x in parts[:8]])
return np.array(data)
def calculate_rms_error(bh_data_ref, bh_data_target):
"""
Calculate trajectory-based RMS error on the XY plane between baseline and optimized simulations.
This function computes the RMS error independently for BH1 and BH2 trajectories,
then returns the maximum of the two as the final RMS error metric.
For each black hole, the RMS is calculated as:
RMS = sqrt( (1/M) * sum( (Δr_i / r_i^max)^2 ) ) × 100%
where:
Δr_i = sqrt((x_ref,i - x_new,i)^2 + (y_ref,i - y_new,i)^2)
r_i^max = max(sqrt(x_ref,i^2 + y_ref,i^2), sqrt(x_new,i^2 + y_new,i^2))
Args:
bh_data_ref: Reference (baseline) trajectory data
bh_data_target: Target (optimized) trajectory data
Returns:
rms_value: Final RMS error as a percentage (max of BH1 and BH2)
error: Error message if any
"""
# Align data: truncate to the length of the shorter dataset
M = min(len(bh_data_ref['time']), len(bh_data_target['time']))
if M < 10:
return None, "Insufficient data points for comparison"
# Extract XY coordinates for both black holes
x1_ref = bh_data_ref['x1'][:M]
y1_ref = bh_data_ref['y1'][:M]
x2_ref = bh_data_ref['x2'][:M]
y2_ref = bh_data_ref['y2'][:M]
x1_new = bh_data_target['x1'][:M]
y1_new = bh_data_target['y1'][:M]
x2_new = bh_data_target['x2'][:M]
y2_new = bh_data_target['y2'][:M]
# Calculate RMS for BH1
delta_r1 = np.sqrt((x1_ref - x1_new)**2 + (y1_ref - y1_new)**2)
r1_ref = np.sqrt(x1_ref**2 + y1_ref**2)
r1_new = np.sqrt(x1_new**2 + y1_new**2)
r1_max = np.maximum(r1_ref, r1_new)
# Calculate RMS for BH2
delta_r2 = np.sqrt((x2_ref - x2_new)**2 + (y2_ref - y2_new)**2)
r2_ref = np.sqrt(x2_ref**2 + y2_ref**2)
r2_new = np.sqrt(x2_new**2 + y2_new**2)
r2_max = np.maximum(r2_ref, r2_new)
# Avoid division by zero for BH1
valid_mask1 = r1_max > 1e-15
if np.sum(valid_mask1) < 10:
return None, "Insufficient valid data points for BH1"
terms1 = (delta_r1[valid_mask1] / r1_max[valid_mask1])**2
rms_bh1 = np.sqrt(np.mean(terms1)) * 100
# Avoid division by zero for BH2
valid_mask2 = r2_max > 1e-15
if np.sum(valid_mask2) < 10:
return None, "Insufficient valid data points for BH2"
terms2 = (delta_r2[valid_mask2] / r2_max[valid_mask2])**2
rms_bh2 = np.sqrt(np.mean(terms2)) * 100
# Final RMS is the maximum of BH1 and BH2
rms_final = max(rms_bh1, rms_bh2)
return rms_final, None
def analyze_constraint_violation(constraint_data, n_levels=9):
"""
Analyze ADM constraint violation
Return maximum constraint violation for Grid Level 0
"""
# Extract Grid Level 0 data (first entry for each time step)
level0_data = constraint_data[::n_levels]
# Calculate maximum absolute value for each constraint
results = {
'Ham': np.max(np.abs(level0_data[:, 1])),
'Px': np.max(np.abs(level0_data[:, 2])),
'Py': np.max(np.abs(level0_data[:, 3])),
'Pz': np.max(np.abs(level0_data[:, 4])),
'Gx': np.max(np.abs(level0_data[:, 5])),
'Gy': np.max(np.abs(level0_data[:, 6])),
'Gz': np.max(np.abs(level0_data[:, 7]))
}
results['max_violation'] = max(results.values())
return results
def print_header():
"""Print report header"""
print("\n" + Color.BLUE + Color.BOLD + "=" * 65 + Color.RESET)
print(Color.BOLD + " AMSS-NCKU GW150914 Simulation Regression Test Report" + Color.RESET)
print(Color.BLUE + Color.BOLD + "=" * 65 + Color.RESET)
def print_rms_results(rms_rel, error, threshold=1.0):
"""Print RMS error results"""
print(f"\n{Color.BOLD}1. RMS Error Analysis (Baseline vs Optimized){Color.RESET}")
print("-" * 45)
if error:
print(f" {Color.RED}Error: {error}{Color.RESET}")
return False
passed = rms_rel < threshold
print(f" RMS relative error: {rms_rel:.4f}%")
print(f" Requirement: < {threshold}%")
print(f" Status: {get_status_text(passed)}")
return passed
def print_constraint_results(results, threshold=2.0):
"""Print constraint violation results"""
print(f"\n{Color.BOLD}2. ADM Constraint Violation Analysis (Grid Level 0){Color.RESET}")
print("-" * 45)
names = ['Ham', 'Px', 'Py', 'Pz', 'Gx', 'Gy', 'Gz']
for i, name in enumerate(names):
print(f" Max |{name:3}|: {results[name]:.6f}", end=" ")
if (i + 1) % 2 == 0: print()
if len(names) % 2 != 0: print()
passed = results['max_violation'] < threshold
print(f"\n Maximum violation: {results['max_violation']:.6f}")
print(f" Requirement: < {threshold}")
print(f" Status: {get_status_text(passed)}")
return passed
def print_summary(rms_passed, constraint_passed):
"""Print summary"""
print("\n" + Color.BLUE + Color.BOLD + "=" * 65 + Color.RESET)
print(Color.BOLD + "Verification Summary" + Color.RESET)
print(Color.BLUE + Color.BOLD + "=" * 65 + Color.RESET)
all_passed = rms_passed and constraint_passed
res_rms = get_status_text(rms_passed)
res_con = get_status_text(constraint_passed)
print(f" [1] RMS trajectory check: {res_rms}")
print(f" [2] ADM constraint check: {res_con}")
final_status = f"{Color.GREEN}{Color.BOLD}ALL CHECKS PASSED{Color.RESET}" if all_passed else f"{Color.RED}{Color.BOLD}SOME CHECKS FAILED{Color.RESET}"
print(f"\n Overall result: {final_status}")
print(Color.BLUE + Color.BOLD + "=" * 65 + Color.RESET + "\n")
return all_passed
def main():
# Determine target (optimized) output directory
if len(sys.argv) > 1:
target_dir = sys.argv[1]
else:
script_dir = os.path.dirname(os.path.abspath(__file__))
target_dir = os.path.join(script_dir, "GW150914/AMSS_NCKU_output")
# Determine reference (baseline) directory
script_dir = os.path.dirname(os.path.abspath(__file__))
reference_dir = os.path.join(script_dir, "GW150914-origin/AMSS_NCKU_output")
# Data file paths
bh_file_ref = os.path.join(reference_dir, "bssn_BH.dat")
bh_file_target = os.path.join(target_dir, "bssn_BH.dat")
constraint_file = os.path.join(target_dir, "bssn_constraint.dat")
# Check if files exist
if not os.path.exists(bh_file_ref):
print(f"{Color.RED}{Color.BOLD}Error:{Color.RESET} Baseline trajectory file not found: {bh_file_ref}")
sys.exit(1)
if not os.path.exists(bh_file_target):
print(f"{Color.RED}{Color.BOLD}Error:{Color.RESET} Target trajectory file not found: {bh_file_target}")
sys.exit(1)
if not os.path.exists(constraint_file):
print(f"{Color.RED}{Color.BOLD}Error:{Color.RESET} Constraint data file not found: {constraint_file}")
sys.exit(1)
# Print header
print_header()
print(f"\n{Color.BOLD}Reference (Baseline):{Color.RESET} {Color.BLUE}{reference_dir}{Color.RESET}")
print(f"{Color.BOLD}Target (Optimized): {Color.RESET} {Color.BLUE}{target_dir}{Color.RESET}")
# Load data
bh_data_ref = load_bh_trajectory(bh_file_ref)
bh_data_target = load_bh_trajectory(bh_file_target)
constraint_data = load_constraint_data(constraint_file)
# Calculate RMS error
rms_rel, error = calculate_rms_error(bh_data_ref, bh_data_target)
rms_passed = print_rms_results(rms_rel, error)
# Analyze constraint violation
constraint_results = analyze_constraint_violation(constraint_data)
constraint_passed = print_constraint_results(constraint_results)
# Print summary
all_passed = print_summary(rms_passed, constraint_passed)
# Return exit code
sys.exit(0 if all_passed else 1)
if __name__ == "__main__":
main()