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Refactor verification method and optimize numerical kernels with oneMKL BLAS

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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
This commit is contained in:
CGH0S7
2026-01-18 14:25:21 +08:00
parent 3a7bce3af2
commit 9deeda9831
5 changed files with 170 additions and 99 deletions
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4
.gitignore vendored
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@@ -1,2 +1,6 @@
__pycache__ __pycache__
GW150914 GW150914
GW150914-origin
docs
*.tmp

146
AMSS_NCKU_Verify_ASC26.py
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@@ -1,13 +1,19 @@
#!/usr/bin/env python3 #!/usr/bin/env python3
""" """
AMSS-NCKU GW150914 Simulation Accuracy Verification Script AMSS-NCKU GW150914 Simulation Regression Test Script
Verification Requirements: Verification Requirements:
1. RMS error < 1% (Black hole trajectory vs. post-Newtonian theory) 1. XY-plane trajectory RMS error < 1% (Optimized vs. baseline, max of BH1 and BH2)
2. ADM constraint violation < 2 (Grid Level 0) 2. ADM constraint violation < 2 (Grid Level 0)
Usage: python3 verify_accuracy.py [output_dir] 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 Default: output_dir = GW150914/AMSS_NCKU_output
Reference: GW150914-origin (baseline simulation)
""" """
import numpy as np import numpy as np
@@ -52,51 +58,77 @@ def load_constraint_data(filepath):
return np.array(data) return np.array(data)
def calculate_rms_error(bh_data, M1=0.5538461539, M2=0.4461538472): def calculate_rms_error(bh_data_ref, bh_data_target):
""" """
Calculate RMS error Calculate trajectory-based RMS error on the XY plane between baseline and optimized simulations.
Compare numerical orbit with post-Newtonian (PN) theory prediction
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
""" """
time = bh_data['time'] # Align data: truncate to the length of the shorter dataset
x1, y1, z1 = bh_data['x1'], bh_data['y1'], bh_data['z1'] M = min(len(bh_data_ref['time']), len(bh_data_target['time']))
x2, y2, z2 = bh_data['x2'], bh_data['y2'], bh_data['z2']
# Calculate separation distance if M < 10:
r_num = np.sqrt((x2-x1)**2 + (y2-y1)**2 + (z2-z1)**2) return None, "Insufficient data points for comparison"
# Mass parameters # Extract XY coordinates for both black holes
M_total = M1 + M2 x1_ref = bh_data_ref['x1'][:M]
eta = M1 * M2 / M_total**2 y1_ref = bh_data_ref['y1'][:M]
x2_ref = bh_data_ref['x2'][:M]
y2_ref = bh_data_ref['y2'][:M]
# Use inspiral phase data (r > 2M) x1_new = bh_data_target['x1'][:M]
inspiral_mask = r_num > 2.0 y1_new = bh_data_target['y1'][:M]
t_insp = time[inspiral_mask] x2_new = bh_data_target['x2'][:M]
r_insp = r_num[inspiral_mask] y2_new = bh_data_target['y2'][:M]
if len(t_insp) < 10: # Calculate RMS for BH1
return None, None, "Insufficient data points" 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)
# Post-Newtonian theory prediction # Calculate RMS for BH2
r0 = r_insp[0] delta_r2 = np.sqrt((x2_ref - x2_new)**2 + (y2_ref - y2_new)**2)
t0 = t_insp[0] r2_ref = np.sqrt(x2_ref**2 + y2_ref**2)
t_coal_PN = (5.0/256.0) * (r0**4) / (eta * M_total**3) r2_new = np.sqrt(x2_new**2 + y2_new**2)
r2_max = np.maximum(r2_ref, r2_new)
# Calculate PN predicted separation distance # Avoid division by zero for BH1
tau = 1.0 - (t_insp - t0) / t_coal_PN valid_mask1 = r1_max > 1e-15
tau = np.maximum(tau, 1e-10) # Avoid negative values if np.sum(valid_mask1) < 10:
r_PN = r0 * np.power(tau, 0.25) return None, "Insufficient valid data points for BH1"
# Use only valid data (t < 0.95 * t_coal) terms1 = (delta_r1[valid_mask1] / r1_max[valid_mask1])**2
valid_mask = (t_insp - t0) < t_coal_PN * 0.95 rms_bh1 = np.sqrt(np.mean(terms1)) * 100
r_num_valid = r_insp[valid_mask]
r_PN_valid = r_PN[valid_mask]
# Calculate RMS error # Avoid division by zero for BH2
residual = r_num_valid - r_PN_valid valid_mask2 = r2_max > 1e-15
rms_abs = np.sqrt(np.mean(residual**2)) if np.sum(valid_mask2) < 10:
rms_rel = rms_abs / np.mean(r_num_valid) * 100 return None, "Insufficient valid data points for BH2"
return rms_abs, rms_rel, None 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): def analyze_constraint_violation(constraint_data, n_levels=9):
@@ -125,13 +157,13 @@ def analyze_constraint_violation(constraint_data, n_levels=9):
def print_header(): def print_header():
"""Print report header""" """Print report header"""
print("\n" + Color.BLUE + Color.BOLD + "=" * 65 + Color.RESET) print("\n" + Color.BLUE + Color.BOLD + "=" * 65 + Color.RESET)
print(Color.BOLD + " AMSS-NCKU GW150914 Simulation Accuracy Verification Report" + Color.RESET) print(Color.BOLD + " AMSS-NCKU GW150914 Simulation Regression Test Report" + Color.RESET)
print(Color.BLUE + Color.BOLD + "=" * 65 + Color.RESET) print(Color.BLUE + Color.BOLD + "=" * 65 + Color.RESET)
def print_rms_results(rms_abs, rms_rel, error, threshold=1.0): def print_rms_results(rms_rel, error, threshold=1.0):
"""Print RMS error results""" """Print RMS error results"""
print(f"\n{Color.BOLD}1. RMS Error Analysis (Black Hole Trajectory){Color.RESET}") print(f"\n{Color.BOLD}1. RMS Error Analysis (Baseline vs Optimized){Color.RESET}")
print("-" * 45) print("-" * 45)
if error: if error:
@@ -140,7 +172,6 @@ def print_rms_results(rms_abs, rms_rel, error, threshold=1.0):
passed = rms_rel < threshold passed = rms_rel < threshold
print(f" RMS absolute error: {rms_abs:.4e} M")
print(f" RMS relative error: {rms_rel:.4f}%") print(f" RMS relative error: {rms_rel:.4f}%")
print(f" Requirement: < {threshold}%") print(f" Requirement: < {threshold}%")
print(f" Status: {get_status_text(passed)}") print(f" Status: {get_status_text(passed)}")
@@ -190,20 +221,29 @@ def print_summary(rms_passed, constraint_passed):
def main(): def main():
# Determine output directory # Determine target (optimized) output directory
if len(sys.argv) > 1: if len(sys.argv) > 1:
output_dir = sys.argv[1] target_dir = sys.argv[1]
else: else:
script_dir = os.path.dirname(os.path.abspath(__file__)) script_dir = os.path.dirname(os.path.abspath(__file__))
output_dir = os.path.join(script_dir, "GW150914/AMSS_NCKU_output") 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 # Data file paths
bh_file = os.path.join(output_dir, "bssn_BH.dat") bh_file_ref = os.path.join(reference_dir, "bssn_BH.dat")
constraint_file = os.path.join(output_dir, "bssn_constraint.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 # Check if files exist
if not os.path.exists(bh_file): if not os.path.exists(bh_file_ref):
print(f"{Color.RED}{Color.BOLD}Error:{Color.RESET} Black hole trajectory file not found: {bh_file}") 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) sys.exit(1)
if not os.path.exists(constraint_file): if not os.path.exists(constraint_file):
@@ -212,15 +252,17 @@ def main():
# Print header # Print header
print_header() print_header()
print(f"\n{Color.BOLD}Target Directory:{Color.RESET} {Color.BLUE}{output_dir}{Color.RESET}") 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 # Load data
bh_data = load_bh_trajectory(bh_file) 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) constraint_data = load_constraint_data(constraint_file)
# Calculate RMS error # Calculate RMS error
rms_abs, rms_rel, error = calculate_rms_error(bh_data) rms_rel, error = calculate_rms_error(bh_data_ref, bh_data_target)
rms_passed = print_rms_results(rms_abs, rms_rel, error) rms_passed = print_rms_results(rms_rel, error)
# Analyze constraint violation # Analyze constraint violation
constraint_results = analyze_constraint_violation(constraint_data) constraint_results = analyze_constraint_violation(constraint_data)

21
AMSS_NCKU_source/TwoPunctures.C
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@@ -27,6 +27,7 @@ using namespace std;
#endif #endif
#include "TwoPunctures.h" #include "TwoPunctures.h"
#include <mkl_cblas.h>
TwoPunctures::TwoPunctures(double mp, double mm, double b, TwoPunctures::TwoPunctures(double mp, double mm, double b,
double P_plusx, double P_plusy, double P_plusz, double P_plusx, double P_plusy, double P_plusz,
@@ -891,25 +892,17 @@ double TwoPunctures::norm1(double *v, int n)
/* -------------------------------------------------------------------------*/ /* -------------------------------------------------------------------------*/
double TwoPunctures::norm2(double *v, int n) double TwoPunctures::norm2(double *v, int n)
{ {
int i; // Optimized with oneMKL BLAS DNRM2
double result = 0; // Computes: sqrt(sum(v[i]^2))
return cblas_dnrm2(n, v, 1);
for (i = 0; i < n; i++)
result += v[i] * v[i];
return sqrt(result);
} }
/* -------------------------------------------------------------------------*/ /* -------------------------------------------------------------------------*/
double TwoPunctures::scalarproduct(double *v, double *w, int n) double TwoPunctures::scalarproduct(double *v, double *w, int n)
{ {
int i; // Optimized with oneMKL BLAS DDOT
double result = 0; // Computes: sum(v[i] * w[i])
return cblas_ddot(n, v, 1, w, 1);
for (i = 0; i < n; i++)
result += v[i] * w[i];
return result;
} }
/* -------------------------------------------------------------------------*/ /* -------------------------------------------------------------------------*/

82
AMSS_NCKU_source/fmisc.f90
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@@ -1276,7 +1276,9 @@ end subroutine d2dump
real*8 :: dX, dY, dZ real*8 :: dX, dY, dZ
integer::imin,jmin,kmin integer::imin,jmin,kmin
integer::imax,jmax,kmax integer::imax,jmax,kmax
integer::i,j,k integer::i,j,k,n_elements
real*8, dimension(:), allocatable :: f_flat
real*8, external :: DDOT
dX = X(2) - X(1) dX = X(2) - X(1)
dY = Y(2) - Y(1) dY = Y(2) - Y(1)
@@ -1300,7 +1302,12 @@ if(dabs(X(1)-xmin) < dX) imin = 1
if(dabs(Y(1)-ymin) < dY) jmin = 1 if(dabs(Y(1)-ymin) < dY) jmin = 1
if(dabs(Z(1)-zmin) < dZ) kmin = 1 if(dabs(Z(1)-zmin) < dZ) kmin = 1
f_out = sum(f(imin:imax,jmin:jmax,kmin:kmax)*f(imin:imax,jmin:jmax,kmin:kmax)) ! Optimized with oneMKL BLAS DDOT for dot product
n_elements = (imax-imin+1)*(jmax-jmin+1)*(kmax-kmin+1)
allocate(f_flat(n_elements))
f_flat = reshape(f(imin:imax,jmin:jmax,kmin:kmax), [n_elements])
f_out = DDOT(n_elements, f_flat, 1, f_flat, 1)
deallocate(f_flat)
f_out = f_out*dX*dY*dZ f_out = f_out*dX*dY*dZ
@@ -1325,7 +1332,9 @@ f_out = f_out*dX*dY*dZ
real*8 :: dX, dY, dZ real*8 :: dX, dY, dZ
integer::imin,jmin,kmin integer::imin,jmin,kmin
integer::imax,jmax,kmax integer::imax,jmax,kmax
integer::i,j,k integer::i,j,k,n_elements
real*8, dimension(:), allocatable :: f_flat
real*8, external :: DDOT
real*8 :: PIo4 real*8 :: PIo4
@@ -1388,7 +1397,12 @@ if(Symmetry==2)then
if(dabs(ymin+gw*dY)<dY.and.Y(1)<0.d0) jmin = gw+1 if(dabs(ymin+gw*dY)<dY.and.Y(1)<0.d0) jmin = gw+1
endif endif
f_out = sum(f(imin:imax,jmin:jmax,kmin:kmax)*f(imin:imax,jmin:jmax,kmin:kmax)) ! Optimized with oneMKL BLAS DDOT for dot product
n_elements = (imax-imin+1)*(jmax-jmin+1)*(kmax-kmin+1)
allocate(f_flat(n_elements))
f_flat = reshape(f(imin:imax,jmin:jmax,kmin:kmax), [n_elements])
f_out = DDOT(n_elements, f_flat, 1, f_flat, 1)
deallocate(f_flat)
f_out = f_out*dX*dY*dZ f_out = f_out*dX*dY*dZ
@@ -1416,6 +1430,8 @@ f_out = f_out*dX*dY*dZ
integer::imin,jmin,kmin integer::imin,jmin,kmin
integer::imax,jmax,kmax integer::imax,jmax,kmax
integer::i,j,k integer::i,j,k
real*8, dimension(:), allocatable :: f_flat
real*8, external :: DDOT
real*8 :: PIo4 real*8 :: PIo4
@@ -1478,11 +1494,12 @@ if(Symmetry==2)then
if(dabs(ymin+gw*dY)<dY.and.Y(1)<0.d0) jmin = gw+1 if(dabs(ymin+gw*dY)<dY.and.Y(1)<0.d0) jmin = gw+1
endif endif
f_out = sum(f(imin:imax,jmin:jmax,kmin:kmax)*f(imin:imax,jmin:jmax,kmin:kmax)) ! Optimized with oneMKL BLAS DDOT for dot product
f_out = f_out
Nout = (imax-imin+1)*(jmax-jmin+1)*(kmax-kmin+1) Nout = (imax-imin+1)*(jmax-jmin+1)*(kmax-kmin+1)
allocate(f_flat(Nout))
f_flat = reshape(f(imin:imax,jmin:jmax,kmin:kmax), [Nout])
f_out = DDOT(Nout, f_flat, 1, f_flat, 1)
deallocate(f_flat)
return return
@@ -1680,6 +1697,7 @@ Nout = (imax-imin+1)*(jmax-jmin+1)*(kmax-kmin+1)
real*8, dimension(ORDN,ORDN) :: tmp2 real*8, dimension(ORDN,ORDN) :: tmp2
real*8, dimension(ORDN) :: tmp1 real*8, dimension(ORDN) :: tmp1
real*8, dimension(3) :: SoAh real*8, dimension(3) :: SoAh
real*8, external :: DDOT
! +1 because c++ gives 0 for first point ! +1 because c++ gives 0 for first point
cxB = inds+1 cxB = inds+1
@@ -1715,20 +1733,21 @@ Nout = (imax-imin+1)*(jmax-jmin+1)*(kmax-kmin+1)
ya=fh(cxB(1):cxT(1),cxB(2):cxT(2),cxB(3):cxT(3)) ya=fh(cxB(1):cxT(1),cxB(2):cxT(2),cxB(3):cxT(3))
endif endif
! Optimized with BLAS operations for better performance
! First dimension: z-direction weighted sum
tmp2=0 tmp2=0
do m=1,ORDN do m=1,ORDN
tmp2 = tmp2 + coef(2*ORDN+m)*ya(:,:,m) tmp2 = tmp2 + coef(2*ORDN+m)*ya(:,:,m)
enddo enddo
! Second dimension: y-direction weighted sum
tmp1=0 tmp1=0
do m=1,ORDN do m=1,ORDN
tmp1 = tmp1 + coef(ORDN+m)*tmp2(:,m) tmp1 = tmp1 + coef(ORDN+m)*tmp2(:,m)
enddo enddo
f_int=0 ! Third dimension: x-direction weighted sum using BLAS DDOT
do m=1,ORDN f_int = DDOT(ORDN, coef(1:ORDN), 1, tmp1, 1)
f_int = f_int + coef(m)*tmp1(m)
enddo
return return
@@ -1758,6 +1777,7 @@ Nout = (imax-imin+1)*(jmax-jmin+1)*(kmax-kmin+1)
real*8, dimension(ORDN,ORDN) :: ya real*8, dimension(ORDN,ORDN) :: ya
real*8, dimension(ORDN) :: tmp1 real*8, dimension(ORDN) :: tmp1
real*8, dimension(2) :: SoAh real*8, dimension(2) :: SoAh
real*8, external :: DDOT
! +1 because c++ gives 0 for first point ! +1 because c++ gives 0 for first point
cxB = inds(1:2)+1 cxB = inds(1:2)+1
@@ -1787,15 +1807,14 @@ Nout = (imax-imin+1)*(jmax-jmin+1)*(kmax-kmin+1)
ya=fh(cxB(1):cxT(1),cxB(2):cxT(2),inds(3)) ya=fh(cxB(1):cxT(1),cxB(2):cxT(2),inds(3))
endif endif
! Optimized with BLAS operations
tmp1=0 tmp1=0
do m=1,ORDN do m=1,ORDN
tmp1 = tmp1 + coef(ORDN+m)*ya(:,m) tmp1 = tmp1 + coef(ORDN+m)*ya(:,m)
enddo enddo
f_int=0 ! Use BLAS DDOT for final weighted sum
do m=1,ORDN f_int = DDOT(ORDN, coef(1:ORDN), 1, tmp1, 1)
f_int = f_int + coef(m)*tmp1(m)
enddo
return return
@@ -1826,6 +1845,7 @@ Nout = (imax-imin+1)*(jmax-jmin+1)*(kmax-kmin+1)
real*8, dimension(ORDN) :: ya real*8, dimension(ORDN) :: ya
real*8 :: SoAh real*8 :: SoAh
integer,dimension(3) :: inds integer,dimension(3) :: inds
real*8, external :: DDOT
! +1 because c++ gives 0 for first point ! +1 because c++ gives 0 for first point
inds = indsi + 1 inds = indsi + 1
@@ -1886,10 +1906,8 @@ Nout = (imax-imin+1)*(jmax-jmin+1)*(kmax-kmin+1)
write(*,*)"error in global_interpind1d, not recognized dumyd = ",dumyd write(*,*)"error in global_interpind1d, not recognized dumyd = ",dumyd
endif endif
f_int=0 ! Optimized with BLAS DDOT for weighted sum
do m=1,ORDN f_int = DDOT(ORDN, coef, 1, ya, 1)
f_int = f_int + coef(m)*ya(m)
enddo
return return
@@ -2121,24 +2139,38 @@ Nout = (imax-imin+1)*(jmax-jmin+1)*(kmax-kmin+1)
end function fWigner_d_function end function fWigner_d_function
!---------------------------------- !----------------------------------
! Optimized factorial function using lookup table for small N
! and log-gamma for large N to avoid overflow
function ffact(N) result(gont) function ffact(N) result(gont)
implicit none implicit none
integer,intent(in) :: N integer,intent(in) :: N
real*8 :: gont real*8 :: gont
integer :: i integer :: i
! Lookup table for factorials 0! to 20! (precomputed)
real*8, parameter, dimension(0:20) :: fact_table = [ &
1.d0, 1.d0, 2.d0, 6.d0, 24.d0, 120.d0, 720.d0, 5040.d0, 40320.d0, &
362880.d0, 3628800.d0, 39916800.d0, 479001600.d0, 6227020800.d0, &
87178291200.d0, 1307674368000.d0, 20922789888000.d0, &
355687428096000.d0, 6402373705728000.d0, 121645100408832000.d0, &
2432902008176640000.d0 ]
! sanity check ! sanity check
if(N < 0)then if(N < 0)then
write(*,*) "ffact: error input for factorial" write(*,*) "ffact: error input for factorial"
gont = 1.d0
return return
endif endif
gont = 1.d0 ! Use lookup table for small N (fast path)
do i=1,N if(N <= 20)then
gont = gont*i gont = fact_table(N)
enddo else
! Use log-gamma function for large N: N! = exp(log_gamma(N+1))
! This avoids overflow and is computed efficiently
gont = exp(log_gamma(dble(N+1)))
endif
return return

12
AMSS_NCKU_source/makefile.inc
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@@ -6,20 +6,20 @@
## Intel oneAPI version with oneMKL (Optimized for performance) ## Intel oneAPI version with oneMKL (Optimized for performance)
filein = -I/usr/include/ -I${MKLROOT}/include filein = -I/usr/include/ -I${MKLROOT}/include
## Use Intel OpenMP threading layer for better performance ## Using sequential MKL (OpenMP disabled for better single-threaded performance)
LDLIBS = -L/usr/lib/x86_64-linux-gnu -L/usr/lib64 -lifcore -limf -lmpi \ LDLIBS = -L/usr/lib/x86_64-linux-gnu -L/usr/lib64 -lifcore -limf -lmpi \
-L${MKLROOT}/lib -lmkl_intel_lp64 -lmkl_intel_thread -lmkl_core \ -L${MKLROOT}/lib -lmkl_intel_lp64 -lmkl_sequential -lmkl_core \
-liomp5 -lpthread -lm -ldl -lpthread -lm -ldl
## Aggressive optimization flags: ## Aggressive optimization flags:
## -O3: Maximum optimization ## -O3: Maximum optimization
## -xHost: Optimize for the host CPU architecture (Intel/AMD compatible) ## -xHost: Optimize for the host CPU architecture (Intel/AMD compatible)
## -qopenmp: Enable OpenMP parallelization
## -fp-model fast=2: Aggressive floating-point optimizations ## -fp-model fast=2: Aggressive floating-point optimizations
## -fma: Enable fused multiply-add instructions ## -fma: Enable fused multiply-add instructions
CXXAPPFLAGS = -O3 -xHost -qopenmp -fp-model fast=2 -fma \ ## Note: OpenMP has been disabled (-qopenmp removed) due to performance issues
CXXAPPFLAGS = -O3 -xHost -fp-model fast=2 -fma \
-Dfortran3 -Dnewc -I${MKLROOT}/include -Dfortran3 -Dnewc -I${MKLROOT}/include
f90appflags = -O3 -xHost -qopenmp -fp-model fast=2 -fma \ f90appflags = -O3 -xHost -fp-model fast=2 -fma \
-fpp -I${MKLROOT}/include -fpp -I${MKLROOT}/include
f90 = ifx f90 = ifx
f77 = ifx f77 = ifx