Switch legacy build to GCC and OpenMPI

.gitignore

@@ -1,6 +1,6 @@
 __pycache__
 GW150914
-GW150914*
+GW150914-origin
 docs
 *.tmp
-.codex
+

AMSS_NCKU_Input.py

@@ -16,9 +16,9 @@ import numpy
 File_directory   = "GW150914"                    ## output file directory
 Output_directory = "binary_output"               ## binary data file directory
                                                  ## The file directory name should not be too long
-MPI_processes    = 8                             ## number of mpi processes used in the simulation
+MPI_processes    = 64                             ## number of mpi processes used in the simulation
 
-GPU_Calculation  = "yes"                          ## Use GPU or not 
+GPU_Calculation  = "no"                          ## Use GPU or not 
                                                  ## (prefer "no" in the current version, because the GPU part may have bugs when integrated in this Python interface)
 CPU_Part         = 1.0
 GPU_Part         = 0.0

AMSS_NCKU_Program.py

@@ -258,7 +258,7 @@ print()
 if (input_data.GPU_Calculation == "no"):
     ABE_file = os.path.join(AMSS_NCKU_source_copy, "ABE")
 elif (input_data.GPU_Calculation == "yes"):
-    ABE_file = os.path.join(AMSS_NCKU_source_copy, "ABE_CUDA")
+    ABE_file = os.path.join(AMSS_NCKU_source_copy, "ABEGPU")
 
 if not os.path.exists( ABE_file ):
     print(                                                                                                  )

AMSS_NCKU_Verify_ASC26.py

@@ -2,18 +2,13 @@
 """
 AMSS-NCKU GW150914 Simulation Regression Test Script (Comprehensive Version)
 
-Verification Requirements:
-1. RMS errors < 1% for:
-   - 3D Vector Total RMS
-   - X Component RMS
-   - Y Component RMS
-   - Z Component RMS
-2. ADM constraint violation < 2 (Grid Level 0)
-3. The following figure PDFs must match GW150914-origin exactly after rasterization:
-   - ADM_Constraint_Grid_Level_0.pdf
-   - BH_Trajectory_21_XY.pdf
-   - BH_Trajectory_XY.pdf
-   The script also reports the percentage of differing pixels for each figure.
+Verification Requirements:
+1. RMS errors < 1% for:
+   - 3D Vector Total RMS
+   - X Component RMS
+   - Y Component RMS
+   - Z Component RMS
+2. ADM constraint violation < 2 (Grid Level 0)
 
 RMS Calculation Method:
 - Computes trajectory deviation on the XY plane independently for BH1 and BH2
@@ -25,13 +20,9 @@ Default: output_dir = GW150914/AMSS_NCKU_output
 Reference: GW150914-origin (baseline simulation)
 """
 
-import numpy as np
-import sys
-import os
-import shutil
-import subprocess
-import tempfile
-from PIL import Image
+import numpy as np
+import sys
+import os
 
 # ANSI Color Codes
 class Color:
@@ -58,143 +49,17 @@ def load_bh_trajectory(filepath):
     }
 
 
-def load_constraint_data(filepath):
-    """Load constraint violation data"""
-    data = []
+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 resolve_figure_dir(path):
-    """Resolve the sibling figure directory from an output or figure path."""
-    normalized = os.path.normpath(path)
-    if os.path.basename(normalized) == "figure":
-        return normalized
-    return os.path.join(os.path.dirname(normalized), "figure")
-
-
-def render_pdf_to_images(pdf_path, dpi=150):
-    """Render a PDF to RGB images using Ghostscript."""
-    gs_path = shutil.which("gs")
-    if gs_path is None:
-        raise RuntimeError("Ghostscript executable 'gs' was not found in PATH")
-
-    with tempfile.TemporaryDirectory(prefix="amss_verify_pdf_") as temp_dir:
-        output_pattern = os.path.join(temp_dir, "page-%03d.ppm")
-        cmd = [
-            gs_path,
-            "-q",
-            "-dSAFER",
-            "-dBATCH",
-            "-dNOPAUSE",
-            "-sDEVICE=ppmraw",
-            f"-r{dpi}",
-            f"-o{output_pattern}",
-            pdf_path
-        ]
-
-        try:
-            subprocess.run(cmd, check=True, stdout=subprocess.DEVNULL, stderr=subprocess.PIPE, text=True)
-        except subprocess.CalledProcessError as exc:
-            message = exc.stderr.strip() or str(exc)
-            raise RuntimeError(f"Failed to render PDF '{pdf_path}': {message}") from exc
-
-        ppm_files = sorted(
-            os.path.join(temp_dir, filename)
-            for filename in os.listdir(temp_dir)
-            if filename.endswith(".ppm")
-        )
-
-        if not ppm_files:
-            raise RuntimeError(f"No rendered pages were produced for '{pdf_path}'")
-
-        images = []
-        for ppm_file in ppm_files:
-            with Image.open(ppm_file) as img:
-                images.append(np.array(img.convert("RGB"), dtype=np.uint8))
-
-        return images
-
-
-def compare_rendered_pages(ref_img, target_img):
-    """Return (different_pixels, total_pixels) for two rendered RGB pages."""
-    ref_h, ref_w = ref_img.shape[:2]
-    tgt_h, tgt_w = target_img.shape[:2]
-    total_pixels = max(ref_h, tgt_h) * max(ref_w, tgt_w)
-
-    if ref_h == tgt_h and ref_w == tgt_w:
-        different_pixels = int(np.count_nonzero(np.any(ref_img != target_img, axis=2)))
-        return different_pixels, total_pixels
-
-    diff_mask = np.ones((max(ref_h, tgt_h), max(ref_w, tgt_w)), dtype=bool)
-    overlap_h = min(ref_h, tgt_h)
-    overlap_w = min(ref_w, tgt_w)
-    overlap_diff = np.any(ref_img[:overlap_h, :overlap_w] != target_img[:overlap_h, :overlap_w], axis=2)
-    diff_mask[:overlap_h, :overlap_w] = overlap_diff
-    different_pixels = int(np.count_nonzero(diff_mask))
-    return different_pixels, total_pixels
-
-
-def compare_pdf_images(ref_pdf, target_pdf, dpi=150, threshold_percent=0.001):
-    """Compare two PDFs by rasterizing them and counting differing pixels."""
-    ref_pages = render_pdf_to_images(ref_pdf, dpi=dpi)
-    target_pages = render_pdf_to_images(target_pdf, dpi=dpi)
-
-    total_pixels = 0
-    different_pixels = 0
-    max_pages = max(len(ref_pages), len(target_pages))
-
-    for page_idx in range(max_pages):
-        if page_idx < len(ref_pages) and page_idx < len(target_pages):
-            page_diff, page_total = compare_rendered_pages(ref_pages[page_idx], target_pages[page_idx])
-        else:
-            existing_page = ref_pages[page_idx] if page_idx < len(ref_pages) else target_pages[page_idx]
-            page_total = existing_page.shape[0] * existing_page.shape[1]
-            page_diff = page_total
-
-        total_pixels += page_total
-        different_pixels += page_diff
-
-    diff_percent = (different_pixels / total_pixels * 100.0) if total_pixels else 0.0
-    return {
-        "different_pixels": different_pixels,
-        "total_pixels": total_pixels,
-        "diff_percent": diff_percent,
-        "pages_ref": len(ref_pages),
-        "pages_target": len(target_pages),
-        "passed": diff_percent < threshold_percent
-    }
-
-
-def compare_required_figures(reference_figure_dir, target_figure_dir):
-    """Compare the required GW150914 figure PDFs."""
-    figure_names = [
-        "ADM_Constraint_Grid_Level_0.pdf",
-        "BH_Trajectory_21_XY.pdf",
-        "BH_Trajectory_XY.pdf"
-    ]
-
-    results = []
-    for figure_name in figure_names:
-        ref_pdf = os.path.join(reference_figure_dir, figure_name)
-        target_pdf = os.path.join(target_figure_dir, figure_name)
-
-        if not os.path.exists(ref_pdf):
-            raise FileNotFoundError(f"Reference figure not found: {ref_pdf}")
-        if not os.path.exists(target_pdf):
-            raise FileNotFoundError(f"Target figure not found: {target_pdf}")
-
-        comparison = compare_pdf_images(ref_pdf, target_pdf)
-        comparison["name"] = figure_name
-        results.append(comparison)
-
-    return results
+                data.append([float(x) for x in parts[:8]])
+    return np.array(data)
 
 def calculate_all_rms_errors(bh_data_ref, bh_data_target):
     """
@@ -300,7 +165,7 @@ def print_rms_results(rms_dict, error, threshold=1.0):
 
     return all_passed
 
-def print_constraint_results(results, threshold=2.0):
+def print_constraint_results(results, threshold=2.0):
     print(f"\n{Color.BOLD}2. ADM Constraint Violation Analysis (Grid Level 0){Color.RESET}")
     print("-" * 65)
 
@@ -315,49 +180,22 @@ def print_constraint_results(results, threshold=2.0):
     print(f"\n   Maximum violation:  {results['max_violation']:.6f}")
     print(f"   Requirement:        < {threshold}")
     print(f"   Status:             {get_status_text(passed)}")
-
-    return passed
-
-
-def print_figure_results(results, threshold_percent=0.001):
-    print(f"\n{Color.BOLD}3. Figure Pixel Comparison (PDF Rasterization){Color.RESET}")
-    print("-" * 65)
-    print(f"   Requirement: < {threshold_percent:.3f}% differing pixels\n")
-
-    all_passed = True
-    for result in results:
-        passed = result["passed"]
-        all_passed = all_passed and passed
-        status = get_status_text(passed)
-        print(f"   {result['name']:32}: {result['diff_percent']:10.6f}%   |   Status: {status}")
-
-        if result["pages_ref"] != result["pages_target"]:
-            print(f"   {'':32}  pages(ref/target): {result['pages_ref']}/{result['pages_target']}")
-
-    return all_passed
-
-
-def print_figure_error(error_message):
-    print(f"\n{Color.BOLD}3. Figure Pixel Comparison (PDF Rasterization){Color.RESET}")
-    print("-" * 65)
-    print(f"   {Color.RED}Error: {error_message}{Color.RESET}")
-    return False
-
-
-def print_summary(rms_passed, constraint_passed, figure_passed):
-    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 and figure_passed
-    
-    res_rms = get_status_text(rms_passed)
-    res_con = get_status_text(constraint_passed)
-    res_fig = get_status_text(figure_passed)
-
-    print(f"   [1] Comprehensive RMS check:      {res_rms}")
-    print(f"   [2] ADM constraint check:         {res_con}")
-    print(f"   [3] Figure pixel comparison:      {res_fig}")
+
+    return passed
+
+
+def print_summary(rms_passed, constraint_passed):
+    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] Comprehensive RMS 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}")
@@ -372,14 +210,12 @@ def main():
         script_dir = os.path.dirname(os.path.abspath(__file__))
         target_dir = os.path.join(script_dir, "GW150914/AMSS_NCKU_output")
 
-    script_dir = os.path.dirname(os.path.abspath(__file__))
-    reference_dir = os.path.join(script_dir, "GW150914-origin/AMSS_NCKU_output")
-    target_figure_dir = resolve_figure_dir(target_dir)
-    reference_figure_dir = os.path.join(script_dir, "GW150914-origin/figure")
-
-    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")
+    script_dir = os.path.dirname(os.path.abspath(__file__))
+    reference_dir = os.path.join(script_dir, "GW150914-origin/AMSS_NCKU_output")
+
+    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")
 
     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}")
@@ -391,11 +227,9 @@ def main():
         print(f"{Color.RED}{Color.BOLD}Error:{Color.RESET} Constraint data file not found: {constraint_file}")
         sys.exit(1)
 
-    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}")
-    print(f"{Color.BOLD}Reference Figures:   {Color.RESET} {Color.BLUE}{reference_figure_dir}{Color.RESET}")
-    print(f"{Color.BOLD}Target Figures:      {Color.RESET} {Color.BLUE}{target_figure_dir}{Color.RESET}")
+    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}")
 
     bh_data_ref = load_bh_trajectory(bh_file_ref)
     bh_data_target = load_bh_trajectory(bh_file_target)
@@ -405,18 +239,12 @@ def main():
     rms_dict, error = calculate_all_rms_errors(bh_data_ref, bh_data_target)
     rms_passed = print_rms_results(rms_dict, error)
 
-    # Output constraint results
-    constraint_results = analyze_constraint_violation(constraint_data)
-    constraint_passed = print_constraint_results(constraint_results)
-
-    try:
-        figure_results = compare_required_figures(reference_figure_dir, target_figure_dir)
-        figure_passed = print_figure_results(figure_results)
-    except (FileNotFoundError, RuntimeError) as exc:
-        figure_passed = print_figure_error(str(exc))
-
-    all_passed = print_summary(rms_passed, constraint_passed, figure_passed)
-    sys.exit(0 if all_passed else 1)
+    # Output constraint results
+    constraint_results = analyze_constraint_violation(constraint_data)
+    constraint_passed = print_constraint_results(constraint_results)
+
+    all_passed = print_summary(rms_passed, constraint_passed)
+    sys.exit(0 if all_passed else 1)
 
 if __name__ == "__main__":
     main()

AMSS_NCKU_source/FFT.f90

@@ -37,51 +37,56 @@ close(77)
 end program checkFFT
 #endif
 
-!-------------
-! Optimized FFT using Intel oneMKL DFTI
-! Mathematical equivalence: Standard DFT definition
-!   Forward (isign=1):  X[k] = sum_{n=0}^{N-1} x[n] * exp(-2*pi*i*k*n/N)
-!   Backward (isign=-1): X[k] = sum_{n=0}^{N-1} x[n] * exp(+2*pi*i*k*n/N)
-! Input/Output: dataa is interleaved complex array [Re(0),Im(0),Re(1),Im(1),...]
-!-------------
-SUBROUTINE four1(dataa,nn,isign)
-use MKL_DFTI
-implicit none
-INTEGER, intent(in) :: isign, nn
-DOUBLE PRECISION, dimension(2*nn), intent(inout) :: dataa
-
-type(DFTI_DESCRIPTOR), pointer :: desc
-integer :: status
-
-! Create DFTI descriptor for 1D complex-to-complex transform
-status = DftiCreateDescriptor(desc, DFTI_DOUBLE, DFTI_COMPLEX, 1, nn)
-if (status /= 0) return
-
-! Set input/output storage as interleaved complex (default)
-status = DftiSetValue(desc, DFTI_PLACEMENT, DFTI_INPLACE)
-if (status /= 0) then
-   status = DftiFreeDescriptor(desc)
-   return
-endif
-
-! Commit the descriptor
-status = DftiCommitDescriptor(desc)
-if (status /= 0) then
-   status = DftiFreeDescriptor(desc)
-   return
-endif
-
-! Execute FFT based on direction
-if (isign == 1) then
-   ! Forward FFT: exp(-2*pi*i*k*n/N)
-   status = DftiComputeForward(desc, dataa)
-else
-   ! Backward FFT: exp(+2*pi*i*k*n/N)
-   status = DftiComputeBackward(desc, dataa)
-endif
-
-! Free descriptor
-status = DftiFreeDescriptor(desc)
-
-return
-END SUBROUTINE four1
+SUBROUTINE four1(dataa,nn,isign)
+implicit none
+INTEGER::isign,nn
+double precision,dimension(2*nn)::dataa
+INTEGER::i,istep,j,m,mmax,n
+double precision::tempi,tempr
+DOUBLE PRECISION::theta,wi,wpi,wpr,wr,wtemp
+n=2*nn
+j=1
+do i=1,n,2
+  if(j.gt.i)then
+     tempr=dataa(j)
+     tempi=dataa(j+1)
+     dataa(j)=dataa(i)
+     dataa(j+1)=dataa(i+1)
+     dataa(i)=tempr
+     dataa(i+1)=tempi
+  endif
+  m=nn
+1 if ((m.ge.2).and.(j.gt.m)) then
+  j=j-m
+  m=m/2
+goto 1
+  endif
+j=j+m
+enddo
+mmax=2
+2  if (n.gt.mmax) then
+     istep=2*mmax
+     theta=6.28318530717959d0/(isign*mmax)
+     wpr=-2.d0*sin(0.5d0*theta)**2
+     wpi=sin(theta)
+     wr=1.d0
+     wi=0.d0
+     do m=1,mmax,2
+       do i=m,n,istep
+         j=i+mmax
+         tempr=sngl(wr)*dataa(j)-sngl(wi)*dataa(j+1)
+         tempi=sngl(wr)*dataa(j+1)+sngl(wi)*dataa(j)
+         dataa(j)=dataa(i)-tempr
+         dataa(j+1)=dataa(i+1)-tempi
+         dataa(i)=dataa(i)+tempr
+         dataa(i+1)=dataa(i+1)+tempi
+       enddo
+          wtemp=wr
+          wr=wr*wpr-wi*wpi+wr
+          wi=wi*wpr+wtemp*wpi+wi
+     enddo
+mmax=istep
+goto 2
+endif
+return
+END SUBROUTINE four1

AMSS_NCKU_source/Parallel.h

@@ -100,14 +100,12 @@ namespace Parallel
     MyList<gridseg> **combined_dst;
     int *send_lengths;
     int *recv_lengths;
-    double **send_bufs;
-    double **recv_bufs;
-    int *send_buf_caps;
-    int *recv_buf_caps;
-    unsigned char *send_buf_pinned;
-    unsigned char *recv_buf_pinned;
-    MPI_Request *reqs;
-    MPI_Status *stats;
+    double **send_bufs;
+    double **recv_bufs;
+    int *send_buf_caps;
+    int *recv_buf_caps;
+    MPI_Request *reqs;
+    MPI_Status *stats;
     int max_reqs;
     bool lengths_valid;
     int *tc_req_node;
@@ -118,11 +116,10 @@ namespace Parallel
     void destroy();
   };
 
-  void Sync_cached(MyList<Patch> *PatL, MyList<var> *VarList, int Symmetry, SyncCache &cache);
-  void Sync_ensure_cache(MyList<Patch> *PatL, int Symmetry, SyncCache &cache);
-  void transfer_cached(MyList<gridseg> **src, MyList<gridseg> **dst,
-                       MyList<var> *VarList1, MyList<var> *VarList2,
-                       int Symmetry, SyncCache &cache);
+  void Sync_cached(MyList<Patch> *PatL, MyList<var> *VarList, int Symmetry, SyncCache &cache);
+  void transfer_cached(MyList<gridseg> **src, MyList<gridseg> **dst,
+                       MyList<var> *VarList1, MyList<var> *VarList2,
+                       int Symmetry, SyncCache &cache);
 
   struct AsyncSyncState {
     int req_no;

AMSS_NCKU_source/TwoPunctures.C

@@ -25,9 +25,23 @@ using namespace std;
 #include <math.h>
 #include <complex.h>
 #endif
-
-#include "TwoPunctures.h"
-#include <mkl_cblas.h>
+
+#include "TwoPunctures.h"
+
+extern "C" {
+double cblas_ddot(const int, const double *, const int, const double *, const int);
+double cblas_dnrm2(const int, const double *, const int);
+void cblas_dgemm(const int, const int, const int,
+                 const int, const int, const int,
+                 const double, const double *, const int,
+                 const double *, const int, const double,
+                 double *, const int);
+}
+
+enum {
+  CblasRowMajor = 101,
+  CblasNoTrans = 111
+};
 
 TwoPunctures::TwoPunctures(double mp, double mm, double b,
                            double P_plusx, double P_plusy, double P_plusz,

AMSS_NCKU_source/Z4c_class.C

@@ -26,20 +26,12 @@ using namespace std;
 #include "shellfunctions.h"
 #include "cpbc.h"
 #include "kodiss.h"
-#include "parameters.h"
-
-#ifndef USE_CUDA_Z4C
-#define USE_CUDA_Z4C 0
-#endif
-
-#if USE_CUDA_Z4C && (ABEtype == 2)
-#include "z4c_rhs_cuda.h"
-#endif
-
-#ifdef With_AHF
-#include "derivatives.h"
-#include "myglobal.h"
-#endif
+#include "parameters.h"
+
+#ifdef With_AHF
+#include "derivatives.h"
+#include "myglobal.h"
+#endif
 
 //================================================================================================
 
@@ -175,554 +167,12 @@ Z4c_class::~Z4c_class()
 
 #define MRBD 0 // 0: fix BD for meshrefinement level; 1: sommerfeld_bam for them; 2: sommerfeld_yo for them
 
-#ifndef CPBC
-// for sommerfeld boundary
-
-#if USE_CUDA_Z4C && (ABEtype == 2)
-#ifdef WithShell
-#error "USE_CUDA_Z4C resident path currently supports Cartesian non-shell Z4C only"
-#endif
-#if (MRBD == 2)
-#error "USE_CUDA_Z4C resident path does not support MRBD == 2"
-#endif
-
-namespace {
-
-static const int k_z4c_cuda_bh_state_indices[3] = {18, 19, 20};
-
-bool fill_z4c_cuda_views(Block *cg, MyList<var> *vars,
-                         double **host_views,
-                         double *propspeeds = 0,
-                         double *soa_flat = 0)
-{
-  int idx = 0;
-  while (vars && idx < Z4C_CUDA_STATE_COUNT)
-  {
-    host_views[idx] = cg->fgfs[vars->data->sgfn];
-    if (propspeeds)
-      propspeeds[idx] = vars->data->propspeed;
-    if (soa_flat)
-    {
-      soa_flat[3 * idx + 0] = vars->data->SoA[0];
-      soa_flat[3 * idx + 1] = vars->data->SoA[1];
-      soa_flat[3 * idx + 2] = vars->data->SoA[2];
-    }
-    vars = vars->next;
-    ++idx;
-  }
-  return idx == Z4C_CUDA_STATE_COUNT && vars == 0;
-}
-
-void z4c_cuda_download_level_state(MyList<Patch> *PatL, MyList<var> *vars, int myrank, bool release_ctx)
-{
-  MyList<Patch> *Pp = PatL;
-  while (Pp)
-  {
-    MyList<Block> *BP = Pp->data->blb;
-    while (BP)
-    {
-      Block *cg = BP->data;
-      if (myrank == cg->rank && z4c_cuda_has_resident_state(cg))
-      {
-        double *state_out[Z4C_CUDA_STATE_COUNT];
-        if (!fill_z4c_cuda_views(cg, vars, state_out))
-        {
-          cout << "CUDA Z4C state list mismatch on resident state download" << endl;
-          MPI_Abort(MPI_COMM_WORLD, 1);
-        }
-        if (z4c_cuda_download_resident_state(cg, cg->shape, state_out))
-        {
-          cout << "CUDA Z4C resident state download failed" << endl;
-          MPI_Abort(MPI_COMM_WORLD, 1);
-        }
-        if (release_ctx)
-          z4c_cuda_release_step_ctx(cg);
-      }
-      if (BP == Pp->data->ble)
-        break;
-      BP = BP->next;
-    }
-    Pp = Pp->next;
-  }
-}
-
-bool z4c_cuda_patch_contains_point(Patch *patch, const double *point)
-{
-  if (!patch)
-    return false;
-  for (int d = 0; d < dim; d++)
-  {
-    const double h = patch->getdX(d);
-    const double lo = patch->bbox[d] + patch->lli[d] * h;
-    const double hi = patch->bbox[dim + d] - patch->uui[d] * h;
-    if (point[d] < lo || point[d] > hi)
-      return false;
-  }
-  return true;
-}
-
-bool z4c_cuda_point_in_block(Patch *patch, Block *block,
-                             const double *point, const double *DH)
-{
-  if (!patch || !block)
-    return false;
-  for (int d = 0; d < dim; d++)
-  {
-    double llb;
-    double uub;
-#ifdef Vertex
-#ifdef Cell
-#error Both Cell and Vertex are defined
-#endif
-    llb = (feq(block->bbox[d], patch->bbox[d], DH[d] / 2))
-              ? block->bbox[d] + patch->lli[d] * DH[d]
-              : block->bbox[d] + (ghost_width - 0.5) * DH[d];
-    uub = (feq(block->bbox[dim + d], patch->bbox[dim + d], DH[d] / 2))
-              ? block->bbox[dim + d] - patch->uui[d] * DH[d]
-              : block->bbox[dim + d] - (ghost_width - 0.5) * DH[d];
-#else
-#ifdef Cell
-    llb = (feq(block->bbox[d], patch->bbox[d], DH[d] / 2))
-              ? block->bbox[d] + patch->lli[d] * DH[d]
-              : block->bbox[d] + ghost_width * DH[d];
-    uub = (feq(block->bbox[dim + d], patch->bbox[dim + d], DH[d] / 2))
-              ? block->bbox[dim + d] - patch->uui[d] * DH[d]
-              : block->bbox[dim + d] - ghost_width * DH[d];
-#else
-#error Not define Vertex nor Cell
-#endif
-#endif
-    if (point[d] - llb < -DH[d] / 2 || point[d] - uub > DH[d] / 2)
-      return false;
-  }
-  return true;
-}
-
-int z4c_cuda_interp_tile_start(const double *coords, int n, double x, double dx, int ordn)
-{
-  if (!coords || n <= ordn)
-    return 0;
-  int cxi = int((x - coords[0]) / dx + 0.4) + 1;
-  int start = cxi - ordn / 2;
-  if (start < 0)
-    start = 0;
-  const int max_start = n - ordn;
-  if (start > max_start)
-    start = max_start;
-  return start;
-}
-
-bool z4c_cuda_interp_bh_point_resident(MyList<Patch> *PatL,
-                                       int myrank,
-                                       const double *point,
-                                       var *forx, var *fory, var *forz,
-                                       int Symmetry,
-                                       double *shellf)
-{
-  const int ordn = 2 * ghost_width;
-  int owner_rank = -1;
-
-  shellf[0] = shellf[1] = shellf[2] = 0.0;
-
-  MyList<Patch> *PL = PatL;
-  while (PL)
-  {
-    Patch *patch = PL->data;
-    if (!z4c_cuda_patch_contains_point(patch, point))
-    {
-      PL = PL->next;
-      continue;
-    }
-
-    double DH[dim];
-    for (int d = 0; d < dim; d++)
-      DH[d] = patch->getdX(d);
-
-    MyList<Block> *BP = patch->blb;
-    while (BP)
-    {
-      Block *block = BP->data;
-      if (z4c_cuda_point_in_block(patch, block, point, DH))
-      {
-        owner_rank = block->rank;
-        if (myrank == owner_rank)
-        {
-          int interp_ordn = ordn;
-          int interp_sym = Symmetry;
-          double x = point[0];
-          double y = point[1];
-          double z = point[2];
-
-          if (z4c_cuda_has_resident_state(block) &&
-              block->shape[0] >= ordn && block->shape[1] >= ordn && block->shape[2] >= ordn)
-          {
-            const int sx = ordn;
-            const int sy = ordn;
-            const int sz = ordn;
-            const int region_all = sx * sy * sz;
-            const int i0 = z4c_cuda_interp_tile_start(block->X[0], block->shape[0], x, DH[0], ordn);
-            const int j0 = z4c_cuda_interp_tile_start(block->X[1], block->shape[1], y, DH[1], ordn);
-            const int k0 = z4c_cuda_interp_tile_start(block->X[2], block->shape[2], z, DH[2], ordn);
-            double *packed_fields = new double[3 * region_all];
-            var *vars[3] = {forx, fory, forz};
-            for (int f = 0; f < 3; f++)
-            {
-              if (z4c_cuda_pack_state_region_to_host_buffer(block,
-                                                            k_z4c_cuda_bh_state_indices[f],
-                                                            packed_fields + f * region_all,
-                                                            block->shape,
-                                                            i0, j0, k0,
-                                                            sx, sy, sz) != 0)
-              {
-                delete[] packed_fields;
-                cout << "CUDA Z4C BH tile download failed" << endl;
-                MPI_Abort(MPI_COMM_WORLD, 1);
-              }
-              int tile_shape[3] = {sx, sy, sz};
-              f_global_interp(tile_shape,
-                              block->X[0] + i0,
-                              block->X[1] + j0,
-                              block->X[2] + k0,
-                              packed_fields + f * region_all,
-                              shellf[f],
-                              x, y, z,
-                              interp_ordn,
-                              vars[f]->SoA,
-                              interp_sym);
-            }
-            delete[] packed_fields;
-          }
-          else
-          {
-            f_global_interp(block->shape, block->X[0], block->X[1], block->X[2],
-                            block->fgfs[forx->sgfn], shellf[0],
-                            x, y, z, interp_ordn, forx->SoA, interp_sym);
-            f_global_interp(block->shape, block->X[0], block->X[1], block->X[2],
-                            block->fgfs[fory->sgfn], shellf[1],
-                            x, y, z, interp_ordn, fory->SoA, interp_sym);
-            f_global_interp(block->shape, block->X[0], block->X[1], block->X[2],
-                            block->fgfs[forz->sgfn], shellf[2],
-                            x, y, z, interp_ordn, forz->SoA, interp_sym);
-          }
-        }
-        break;
-      }
-      if (BP == patch->ble)
-        break;
-      BP = BP->next;
-    }
-
-    if (owner_rank >= 0)
-      break;
-    PL = PL->next;
-  }
-
-  if (owner_rank < 0)
-    return false;
-
-  MPI_Bcast(shellf, 3, MPI_DOUBLE, owner_rank, MPI_COMM_WORLD);
-  return true;
-}
-
-bool z4c_cuda_compute_porg_rhs_resident(cgh *GH,
-                                        int ilev,
-                                        int myrank,
-                                        int BH_num,
-                                        double **BH_PS,
-                                        double **BH_RHS,
-                                        var *forx, var *fory, var *forz,
-                                        int Symmetry)
-{
-  for (int n = 0; n < BH_num; n++)
-  {
-    double shellf[3] = {0.0, 0.0, 0.0};
-    int lev = ilev;
-    while (lev >= 0 &&
-           !z4c_cuda_interp_bh_point_resident(GH->PatL[lev], myrank, BH_PS[n],
-                                              forx, fory, forz, Symmetry, shellf))
-    {
-      --lev;
-    }
-    if (lev < 0)
-      return false;
-    BH_RHS[n][0] = -shellf[0];
-    BH_RHS[n][1] = -shellf[1];
-    BH_RHS[n][2] = -shellf[2];
-  }
-  return true;
-}
-
-} // namespace
-#endif
-
-void Z4c_class::Step(int lev, int YN)
-{
-#if USE_CUDA_Z4C && (ABEtype == 2)
-  double dT_lev = dT * pow(0.5, Mymax(lev, trfls));
-#ifdef With_AHF
-  AH_Step_Find(lev, dT_lev);
-#endif
-  bool BB = fgt(PhysTime, StartTime, dT_lev / 2);
-  double ndeps = numepss;
-  if (lev < GH->movls)
-    ndeps = numepsb;
-  double TRK4 = PhysTime;
-  int iter_count = 0;
-  int pre = 0, cor = 1;
-  int ERROR = 0;
-
-  MyList<Patch> *Pp = GH->PatL[lev];
-  while (Pp)
-  {
-    MyList<Block> *BP = Pp->data->blb;
-    while (BP)
-    {
-      Block *cg = BP->data;
-      if (myrank == cg->rank)
-      {
-        double *state_in[Z4C_CUDA_STATE_COUNT];
-        double *state_out[Z4C_CUDA_STATE_COUNT];
-        double propspeed[Z4C_CUDA_STATE_COUNT];
-        double soa_flat[3 * Z4C_CUDA_STATE_COUNT];
-        if (!fill_z4c_cuda_views(cg, StateList, state_in, propspeed, soa_flat) ||
-            !fill_z4c_cuda_views(cg, SynchList_pre, state_out))
-        {
-          cout << "CUDA Z4C state list mismatch on predictor step" << endl;
-          MPI_Abort(MPI_COMM_WORLD, 1);
-        }
-        int apply_bam_bc = 0;
-#if (MRBD == 0)
-#if (SommerType == 0)
-        apply_bam_bc = (lev == 0) ? 1 : 0;
-#endif
-#elif (MRBD == 1)
-        apply_bam_bc = 1;
-#endif
-        int keep_resident_state = 1;
-        int apply_enforce_ga = 0;
-#if (AGM == 0)
-        apply_enforce_ga = 1;
-#endif
-        if (z4c_cuda_rk4_substep(cg,
-                                 cg->shape, cg->X[0], cg->X[1], cg->X[2],
-                                 state_in, state_out,
-                                 propspeed, soa_flat, Pp->data->bbox,
-                                 dT_lev, TRK4, iter_count, apply_bam_bc,
-                                 Symmetry, lev, ndeps, pre,
-                                 keep_resident_state, apply_enforce_ga, chitiny))
-        {
-          cout << "CUDA Z4C predictor substep failed in domain: ("
-               << cg->bbox[0] << ":" << cg->bbox[3] << ","
-               << cg->bbox[1] << ":" << cg->bbox[4] << ","
-               << cg->bbox[2] << ":" << cg->bbox[5] << ")" << endl;
-          ERROR = 1;
-        }
-      }
-      if (BP == Pp->data->ble)
-        break;
-      BP = BP->next;
-    }
-    Pp = Pp->next;
-  }
-
-  {
-    int erh = ERROR;
-    MPI_Allreduce(&erh, &ERROR, 1, MPI_INT, MPI_SUM, MPI_COMM_WORLD);
-  }
-  if (ERROR)
-  {
-    if (myrank == 0 && ErrorMonitor->outfile)
-      ErrorMonitor->outfile << "CUDA Z4C failed in predictor at t = " << PhysTime
-                            << ", lev = " << lev << endl;
-    MPI_Abort(MPI_COMM_WORLD, 1);
-  }
-
-  Parallel::Sync(GH->PatL[lev], SynchList_pre, Symmetry);
-
-  if (BH_num > 0 && lev == GH->levels - 1)
-  {
-    compute_Porg_rhs(Porg0, Porg_rhs, Sfx0, Sfy0, Sfz0, lev);
-    for (int ithBH = 0; ithBH < BH_num; ithBH++)
-    {
-      f_rungekutta4_scalar(dT_lev, Porg0[ithBH][0], Porg[ithBH][0], Porg_rhs[ithBH][0], iter_count);
-      f_rungekutta4_scalar(dT_lev, Porg0[ithBH][1], Porg[ithBH][1], Porg_rhs[ithBH][1], iter_count);
-      f_rungekutta4_scalar(dT_lev, Porg0[ithBH][2], Porg[ithBH][2], Porg_rhs[ithBH][2], iter_count);
-      if (Symmetry > 0)
-        Porg[ithBH][2] = fabs(Porg[ithBH][2]);
-      if (Symmetry == 2)
-      {
-        Porg[ithBH][0] = fabs(Porg[ithBH][0]);
-        Porg[ithBH][1] = fabs(Porg[ithBH][1]);
-      }
-    }
-  }
-
-  if ((lev == a_lev) && (LastAnas + dT_lev >= AnasTime))
-    z4c_cuda_download_level_state(GH->PatL[lev], SynchList_pre, myrank, false);
-  if (lev == a_lev)
-    AnalysisStuff(lev, dT_lev);
-
-  for (iter_count = 1; iter_count < 4; iter_count++)
-  {
-    if (iter_count == 1 || iter_count == 3)
-      TRK4 += dT_lev / 2;
-    Pp = GH->PatL[lev];
-    while (Pp)
-    {
-      MyList<Block> *BP = Pp->data->blb;
-      while (BP)
-      {
-        Block *cg = BP->data;
-        if (myrank == cg->rank)
-        {
-          double *state_in[Z4C_CUDA_STATE_COUNT];
-          double *state_out[Z4C_CUDA_STATE_COUNT];
-          double propspeed[Z4C_CUDA_STATE_COUNT];
-          double soa_flat[3 * Z4C_CUDA_STATE_COUNT];
-          if (!fill_z4c_cuda_views(cg, SynchList_pre, state_in, propspeed, soa_flat) ||
-              !fill_z4c_cuda_views(cg, SynchList_cor, state_out))
-          {
-            cout << "CUDA Z4C state list mismatch on corrector step" << endl;
-            MPI_Abort(MPI_COMM_WORLD, 1);
-          }
-          int apply_bam_bc = 0;
-#if (MRBD == 0)
-#if (SommerType == 0)
-          apply_bam_bc = (lev == 0) ? 1 : 0;
-#endif
-#elif (MRBD == 1)
-          apply_bam_bc = 1;
-#endif
-          int keep_resident_state = 1;
-          int apply_enforce_ga = 0;
-#if (AGM == 0)
-          apply_enforce_ga = 1;
-#elif (AGM == 1)
-          apply_enforce_ga = (iter_count == 3) ? 1 : 0;
-#endif
-          if (z4c_cuda_rk4_substep(cg,
-                                   cg->shape, cg->X[0], cg->X[1], cg->X[2],
-                                   state_in, state_out,
-                                   propspeed, soa_flat, Pp->data->bbox,
-                                   dT_lev, TRK4, iter_count, apply_bam_bc,
-                                   Symmetry, lev, ndeps, cor,
-                                   keep_resident_state, apply_enforce_ga, chitiny))
-          {
-            cout << "CUDA Z4C corrector substep failed in domain: ("
-                 << cg->bbox[0] << ":" << cg->bbox[3] << ","
-                 << cg->bbox[1] << ":" << cg->bbox[4] << ","
-                 << cg->bbox[2] << ":" << cg->bbox[5] << ")" << endl;
-            ERROR = 1;
-          }
-        }
-        if (BP == Pp->data->ble)
-          break;
-        BP = BP->next;
-      }
-      Pp = Pp->next;
-    }
-
-    {
-      int erh = ERROR;
-      MPI_Allreduce(&erh, &ERROR, 1, MPI_INT, MPI_SUM, MPI_COMM_WORLD);
-    }
-    if (ERROR)
-    {
-      if (myrank == 0 && ErrorMonitor->outfile)
-        ErrorMonitor->outfile << "CUDA Z4C failed in RK4 substep#" << iter_count
-                              << " at t = " << PhysTime
-                              << ", lev = " << lev << endl;
-      MPI_Abort(MPI_COMM_WORLD, 1);
-    }
-
-    Parallel::Sync(GH->PatL[lev], SynchList_cor, Symmetry);
-
-    if (BH_num > 0 && lev == GH->levels - 1)
-    {
-      if (!z4c_cuda_compute_porg_rhs_resident(GH, lev, myrank, BH_num,
-                                              Porg, Porg1,
-                                              Sfx, Sfy, Sfz, Symmetry))
-      {
-        if (myrank == 0 && ErrorMonitor->outfile)
-          ErrorMonitor->outfile << "CUDA Z4C failed to interpolate black-hole shift at t = "
-                                << PhysTime << endl;
-        MPI_Abort(MPI_COMM_WORLD, 1);
-      }
-      for (int ithBH = 0; ithBH < BH_num; ithBH++)
-      {
-        f_rungekutta4_scalar(dT_lev, Porg0[ithBH][0], Porg1[ithBH][0], Porg_rhs[ithBH][0], iter_count);
-        f_rungekutta4_scalar(dT_lev, Porg0[ithBH][1], Porg1[ithBH][1], Porg_rhs[ithBH][1], iter_count);
-        f_rungekutta4_scalar(dT_lev, Porg0[ithBH][2], Porg1[ithBH][2], Porg_rhs[ithBH][2], iter_count);
-        if (Symmetry > 0)
-          Porg1[ithBH][2] = fabs(Porg1[ithBH][2]);
-        if (Symmetry == 2)
-        {
-          Porg1[ithBH][0] = fabs(Porg1[ithBH][0]);
-          Porg1[ithBH][1] = fabs(Porg1[ithBH][1]);
-        }
-      }
-    }
-
-    if (iter_count < 3)
-    {
-      Pp = GH->PatL[lev];
-      while (Pp)
-      {
-        MyList<Block> *BP = Pp->data->blb;
-        while (BP)
-        {
-          Block *cg = BP->data;
-          cg->swapList(SynchList_pre, SynchList_cor, myrank);
-          if (BP == Pp->data->ble)
-            break;
-          BP = BP->next;
-        }
-        Pp = Pp->next;
-      }
-      if (BH_num > 0 && lev == GH->levels - 1)
-      {
-        for (int ithBH = 0; ithBH < BH_num; ithBH++)
-        {
-          Porg[ithBH][0] = Porg1[ithBH][0];
-          Porg[ithBH][1] = Porg1[ithBH][1];
-          Porg[ithBH][2] = Porg1[ithBH][2];
-        }
-      }
-    }
-  }
-
-  z4c_cuda_download_level_state(GH->PatL[lev], SynchList_cor, myrank, true);
-
-#if (RPS == 0)
-  RestrictProlong(lev, YN, BB);
-#endif
-
-  Pp = GH->PatL[lev];
-  while (Pp)
-  {
-    MyList<Block> *BP = Pp->data->blb;
-    while (BP)
-    {
-      Block *cg = BP->data;
-      cg->swapList(StateList, SynchList_cor, myrank);
-      cg->swapList(OldStateList, SynchList_cor, myrank);
-      if (BP == Pp->data->ble)
-        break;
-      BP = BP->next;
-    }
-    Pp = Pp->next;
-  }
-  if (BH_num > 0 && lev == GH->levels - 1)
-  {
-    for (int ithBH = 0; ithBH < BH_num; ithBH++)
-    {
-      Porg0[ithBH][0] = Porg1[ithBH][0];
-      Porg0[ithBH][1] = Porg1[ithBH][1];
-      Porg0[ithBH][2] = Porg1[ithBH][2];
-    }
-  }
-#else
-  double dT_lev = dT * pow(0.5, Mymax(lev, trfls));
+#ifndef CPBC
+// for sommerfeld boundary
+
+void Z4c_class::Step(int lev, int YN)
+{
+  double dT_lev = dT * pow(0.5, Mymax(lev, trfls));
 #ifdef With_AHF
   AH_Step_Find(lev, dT_lev);
 #endif
@@ -1589,19 +1039,15 @@ void Z4c_class::Step(int lev, int YN)
     {
       Porg0[ithBH][0] = Porg1[ithBH][0];
       Porg0[ithBH][1] = Porg1[ithBH][1];
-      Porg0[ithBH][2] = Porg1[ithBH][2];
-    }
-  }
-#endif
-}
-#else
-// for constraint preserving boundary (CPBC)
-#if USE_CUDA_Z4C && (ABEtype == 2)
-#error "USE_CUDA_Z4C resident path does not support CPBC"
-#endif
-#ifndef WithShell
-#error "CPBC only supports Shell"
-#endif
+      Porg0[ithBH][2] = Porg1[ithBH][2];
+    }
+  }
+}
+#else
+// for constraint preserving boundary (CPBC)
+#ifndef WithShell
+#error "CPBC only supports Shell"
+#endif
 
 // 0: extroplate rhs, 1: extroplate variable
 // 2: extroplate variable but before RHS calculation

AMSS_NCKU_source/Z4c_rhs.f90

@@ -94,31 +94,29 @@
                Hcon,Mxcon,Mycon,Mzcon,Gmxcon,Gmycon,Gmzcon,                    &            
                Symmetry,Lev,eps,co)
 
-  if (co == 0) then
-#if (ABV == 0)  
-    call ricci_gamma(ex, X, Y, Z,                                      &
-                 chi,                                                  &
-                 dxx    ,   gxy    ,   gxz    ,   dyy    ,   gyz    ,   dzz,&
-                 Gamx   ,  Gamy    ,  Gamz    , &
-                 Gamxxx,Gamxxy,Gamxxz,Gamxyy,Gamxyz,Gamxzz,&
-                 Gamyxx,Gamyxy,Gamyxz,Gamyyy,Gamyyz,Gamyzz,&
-                 Gamzxx,Gamzxy,Gamzxz,Gamzyy,Gamzyz,Gamzzz,&
-                 Rxx,Rxy,Rxz,Ryy,Ryz,Rzz,&
-                 Symmetry)
-#endif
-    call constraint_bssn(ex, X, Y, Z,&
-                 chi,trK, &
-                 dxx,gxy,gxz,dyy,gyz,dzz, &
-                 Axx,Axy,Axz,Ayy,Ayz,Azz, &
-                 Gamx,Gamy,Gamz,&
-                 Lap,betax,betay,betaz,rho,Sx,Sy,Sz,&
-                 Gamxxx, Gamxxy, Gamxxz,Gamxyy, Gamxyz, Gamxzz, &
-                 Gamyxx, Gamyxy, Gamyxz,Gamyyy, Gamyyz, Gamyzz, &
-                 Gamzxx, Gamzxy, Gamzxz,Gamzyy, Gamzyz, Gamzzz, &
-                 Rxx,Rxy,Rxz,Ryy,Ryz,Rzz, &
-                 Hcon,Mxcon,Mycon,Mzcon,Gmxcon,Gmycon,Gmzcon, &
-                 Symmetry)
-  endif
+#if (ABV == 0)  
+  call ricci_gamma(ex, X, Y, Z,                                      &
+               chi,                                                  &
+               dxx    ,   gxy    ,   gxz    ,   dyy    ,   gyz    ,   dzz,&
+               Gamx   ,  Gamy    ,  Gamz    , &
+               Gamxxx,Gamxxy,Gamxxz,Gamxyy,Gamxyz,Gamxzz,&
+               Gamyxx,Gamyxy,Gamyxz,Gamyyy,Gamyyz,Gamyzz,&
+               Gamzxx,Gamzxy,Gamzxz,Gamzyy,Gamzyz,Gamzzz,&
+               Rxx,Rxy,Rxz,Ryy,Ryz,Rzz,&
+               Symmetry)
+#endif
+  call constraint_bssn(ex, X, Y, Z,&
+               chi,trK, &
+               dxx,gxy,gxz,dyy,gyz,dzz, &
+               Axx,Axy,Axz,Ayy,Ayz,Azz, &
+               Gamx,Gamy,Gamz,&
+               Lap,betax,betay,betaz,rho,Sx,Sy,Sz,&
+               Gamxxx, Gamxxy, Gamxxz,Gamxyy, Gamxyz, Gamxzz, &
+               Gamyxx, Gamyxy, Gamyxz,Gamyyy, Gamyyz, Gamyzz, &
+               Gamzxx, Gamzxy, Gamzxz,Gamzyy, Gamzyz, Gamzzz, &
+               Rxx,Rxy,Rxz,Ryy,Ryz,Rzz, &
+               Hcon,Mxcon,Mycon,Mzcon,Gmxcon,Gmycon,Gmzcon, &
+               Symmetry)
 
   return
 
@@ -228,12 +226,11 @@
 
   call get_Z4cparameters(kappa1,kappa2,kappa3,FF,eta)
 
-!!! sanity check
-#ifdef DEBUG
-  dX = sum(chi)+sum(trK)+sum(dxx)+sum(gxy)+sum(gxz)+sum(dyy)+sum(gyz)+sum(dzz) &
-      +sum(Axx)+sum(Axy)+sum(Axz)+sum(Ayy)+sum(Ayz)+sum(Azz)                   &
-      +sum(Gamx)+sum(Gamy)+sum(Gamz)                                           &
-      +sum(Lap)+sum(betax)+sum(betay)+sum(betaz)+sum(dtSfx)+sum(dtSfy)+sum(dtSfz) &
+!!! sanity check
+  dX = sum(chi)+sum(trK)+sum(dxx)+sum(gxy)+sum(gxz)+sum(dyy)+sum(gyz)+sum(dzz) &
+      +sum(Axx)+sum(Axy)+sum(Axz)+sum(Ayy)+sum(Ayz)+sum(Azz)                   &
+      +sum(Gamx)+sum(Gamy)+sum(Gamz)                                           &
+      +sum(Lap)+sum(betax)+sum(betay)+sum(betaz)+sum(dtSfx)+sum(dtSfy)+sum(dtSfz) &
       +sum(TZ)
   if(dX.ne.dX) then
      if(sum(chi).ne.sum(chi))write(*,*)"Z4c_rhs.f90: find NaN in chi"
@@ -260,11 +257,10 @@
      if(sum(dtSfx).ne.sum(dtSfx))write(*,*)"Z4c_rhs.f90: find NaN in dtSfx"
      if(sum(dtSfy).ne.sum(dtSfy))write(*,*)"Z4c_rhs.f90: find NaN in dtSfy"
      if(sum(dtSfz).ne.sum(dtSfz))write(*,*)"Z4c_rhs.f90: find NaN in dtSfz"
-     if(sum(TZ).ne.sum(Tz))write(*,*)"Z4c_rhs.f90: find NaN in TZ"
-     gont = 1
-     return
-  endif
-#endif
+     if(sum(TZ).ne.sum(Tz))write(*,*)"Z4c_rhs.f90: find NaN in TZ"
+     gont = 1
+     return
+  endif
 
   PI = dacos(-ONE)
 
@@ -1267,32 +1263,30 @@
 
   endif
 
-  if (co == 0) then
-#if (ABV == 0)  
-    call ricci_gamma(ex, X, Y, Z,                                      &
-                 chi,                                                  &
-                 dxx    ,   gxy    ,   gxz    ,   dyy    ,   gyz    ,   dzz,&
-                 Gamx   ,  Gamy    ,  Gamz    , &
-                 Gamxxx,Gamxxy,Gamxxz,Gamxyy,Gamxyz,Gamxzz,&
-                 Gamyxx,Gamyxy,Gamyxz,Gamyyy,Gamyyz,Gamyzz,&
-                 Gamzxx,Gamzxy,Gamzxz,Gamzyy,Gamzyz,Gamzzz,&
-                 Rxx,Rxy,Rxz,Ryy,Ryz,Rzz,&
-                 Symmetry)
-#endif
-
-    call constraint_bssn(ex, X, Y, Z,&
-                 chi,trK, &
-                 dxx,gxy,gxz,dyy,gyz,dzz, &
-                 Axx,Axy,Axz,Ayy,Ayz,Azz, &
-                 Gamx,Gamy,Gamz,&
-                 Lap,betax,betay,betaz,rho,Sx,Sy,Sz,&
-                 Gamxxx, Gamxxy, Gamxxz,Gamxyy, Gamxyz, Gamxzz, &
-                 Gamyxx, Gamyxy, Gamyxz,Gamyyy, Gamyyz, Gamyzz, &
-                 Gamzxx, Gamzxy, Gamzxz,Gamzyy, Gamzyz, Gamzzz, &
-                 Rxx,Rxy,Rxz,Ryy,Ryz,Rzz, &
-                 Hcon,Mxcon,Mycon,Mzcon,Gmxcon,Gmycon,Gmzcon, &
-                 Symmetry)
-  endif
+#if (ABV == 0)  
+  call ricci_gamma(ex, X, Y, Z,                                      &
+               chi,                                                  &
+               dxx    ,   gxy    ,   gxz    ,   dyy    ,   gyz    ,   dzz,&
+               Gamx   ,  Gamy    ,  Gamz    , &
+               Gamxxx,Gamxxy,Gamxxz,Gamxyy,Gamxyz,Gamxzz,&
+               Gamyxx,Gamyxy,Gamyxz,Gamyyy,Gamyyz,Gamyzz,&
+               Gamzxx,Gamzxy,Gamzxz,Gamzyy,Gamzyz,Gamzzz,&
+               Rxx,Rxy,Rxz,Ryy,Ryz,Rzz,&
+               Symmetry)
+#endif
+
+  call constraint_bssn(ex, X, Y, Z,&
+               chi,trK, &
+               dxx,gxy,gxz,dyy,gyz,dzz, &
+               Axx,Axy,Axz,Ayy,Ayz,Azz, &
+               Gamx,Gamy,Gamz,&
+               Lap,betax,betay,betaz,rho,Sx,Sy,Sz,&
+               Gamxxx, Gamxxy, Gamxxz,Gamxyy, Gamxyz, Gamxzz, &
+               Gamyxx, Gamyxy, Gamyxz,Gamyyy, Gamyyz, Gamyzz, &
+               Gamzxx, Gamzxy, Gamzxz,Gamzyy, Gamzyz, Gamzzz, &
+               Rxx,Rxy,Rxz,Ryy,Ryz,Rzz, &
+               Hcon,Mxcon,Mycon,Mzcon,Gmxcon,Gmycon,Gmzcon, &
+               Symmetry)
 
   gont = 0
 

AMSS_NCKU_source/Z4c_rhs_ss.f90

@@ -121,12 +121,11 @@
 
   call get_Z4cparameters(kappa1,kappa2,kappa3,FF,eta)
 
-!!! sanity check
-#ifdef DEBUG
-  dX = sum(chi)+sum(trK)+sum(dxx)+sum(gxy)+sum(gxz)+sum(dyy)+sum(gyz)+sum(dzz) &
-      +sum(Axx)+sum(Axy)+sum(Axz)+sum(Ayy)+sum(Ayz)+sum(Azz)                   &
-      +sum(Gamx)+sum(Gamy)+sum(Gamz)                                           &
-      +sum(Lap)+sum(betax)+sum(betay)+sum(betaz)+sum(dtSfx)+sum(dtSfy)+sum(dtSfz) &
+!!! sanity check
+  dX = sum(chi)+sum(trK)+sum(dxx)+sum(gxy)+sum(gxz)+sum(dyy)+sum(gyz)+sum(dzz) &
+      +sum(Axx)+sum(Axy)+sum(Axz)+sum(Ayy)+sum(Ayz)+sum(Azz)                   &
+      +sum(Gamx)+sum(Gamy)+sum(Gamz)                                           &
+      +sum(Lap)+sum(betax)+sum(betay)+sum(betaz)+sum(dtSfx)+sum(dtSfy)+sum(dtSfz) &
       +sum(TZ)
   if(dX.ne.dX) then
      if(sum(chi).ne.sum(chi))write(*,*)"Z4c_rhs_ss.f90: find NaN in chi"
@@ -153,11 +152,10 @@
      if(sum(dtSfx).ne.sum(dtSfx))write(*,*)"Z4c_rhs_ss.f90: find NaN in dtSfx"
      if(sum(dtSfy).ne.sum(dtSfy))write(*,*)"Z4c_rhs_ss.f90: find NaN in dtSfy"
      if(sum(dtSfz).ne.sum(dtSfz))write(*,*)"Z4c_rhs_ss.f90: find NaN in dtSfz"
-     if(sum(TZ).ne.sum(Tz))write(*,*)"Z4c_rhs_ss.f90: find NaN in TZ"
-     gont = 1
-     return
-  endif
-#endif
+     if(sum(TZ).ne.sum(Tz))write(*,*)"Z4c_rhs_ss.f90: find NaN in TZ"
+     gont = 1
+     return
+  endif
 
   PI = dacos(-ONE)
 
@@ -1390,43 +1388,41 @@
   call kodis_sh(ex,crho,sigma,R,TZ,TZ_rhs,SSS,Symmetry,eps,sst)
   endif
 
-  if (co == 0) then
-#if (ABV == 1)  
-    call ricci_gamma_ss(ex,crho,sigma,R,X, Y, Z,                               &
-                 drhodx, drhody, drhodz,                                       &
-                 dsigmadx,dsigmady,dsigmadz,                                   &
-                 dRdx,dRdy,dRdz,                                               &
-                 drhodxx,drhodxy,drhodxz,drhodyy,drhodyz,drhodzz,              &
-                 dsigmadxx,dsigmadxy,dsigmadxz,dsigmadyy,dsigmadyz,dsigmadzz,  &
-                 dRdxx,dRdxy,dRdxz,dRdyy,dRdyz,dRdzz,                          &
-                 chi,                                                          &
-                 dxx    ,   gxy    ,   gxz    ,   dyy    ,   gyz    ,   dzz,&
-                 Gamx   ,  Gamy    ,  Gamz    , &
-                 Gamxxx,Gamxxy,Gamxxz,Gamxyy,Gamxyz,Gamxzz,&
-                 Gamyxx,Gamyxy,Gamyxz,Gamyyy,Gamyyz,Gamyzz,&
-                 Gamzxx,Gamzxy,Gamzxz,Gamzyy,Gamzyz,Gamzzz,&
-                 Rxx,Rxy,Rxz,Ryy,Ryz,Rzz,&
-                 Symmetry,Lev,sst)
-#endif
-    call constraint_bssn_ss(ex,crho,sigma,R,X, Y, Z,  &
-                 drhodx, drhody, drhodz,                                       &
-                 dsigmadx,dsigmady,dsigmadz,                                   &
-                 dRdx,dRdy,dRdz,                                               &
-                 drhodxx,drhodxy,drhodxz,drhodyy,drhodyz,drhodzz,              &
-                 dsigmadxx,dsigmadxy,dsigmadxz,dsigmadyy,dsigmadyz,dsigmadzz,  &
-                 dRdxx,dRdxy,dRdxz,dRdyy,dRdyz,dRdzz,                          &
-                 chi,trK, &
-                 dxx,gxy,gxz,dyy,gyz,dzz, &
-                 Axx,Axy,Axz,Ayy,Ayz,Azz, &
-                 Gamx,Gamy,Gamz,&
-                 Lap,betax,betay,betaz,rho,Sx,Sy,Sz,&
-                 Gamxxx, Gamxxy, Gamxxz,Gamxyy, Gamxyz, Gamxzz, &
-                 Gamyxx, Gamyxy, Gamyxz,Gamyyy, Gamyyz, Gamyzz, &
-                 Gamzxx, Gamzxy, Gamzxz,Gamzyy, Gamzyz, Gamzzz, &
-                 Rxx,Rxy,Rxz,Ryy,Ryz,Rzz, &
-                 Hcon,Mxcon,Mycon,Mzcon,Gmxcon,Gmycon,Gmzcon, &
-                 Symmetry,Lev,sst)
-  endif
+#if (ABV == 1)  
+  call ricci_gamma_ss(ex,crho,sigma,R,X, Y, Z,                                 &
+               drhodx, drhody, drhodz,                                         &
+               dsigmadx,dsigmady,dsigmadz,                                     &
+               dRdx,dRdy,dRdz,                                                 &
+               drhodxx,drhodxy,drhodxz,drhodyy,drhodyz,drhodzz,                &
+               dsigmadxx,dsigmadxy,dsigmadxz,dsigmadyy,dsigmadyz,dsigmadzz,    &
+               dRdxx,dRdxy,dRdxz,dRdyy,dRdyz,dRdzz,                            &
+               chi,                                                  &
+               dxx    ,   gxy    ,   gxz    ,   dyy    ,   gyz    ,   dzz,&
+               Gamx   ,  Gamy    ,  Gamz    , &
+               Gamxxx,Gamxxy,Gamxxz,Gamxyy,Gamxyz,Gamxzz,&
+               Gamyxx,Gamyxy,Gamyxz,Gamyyy,Gamyyz,Gamyzz,&
+               Gamzxx,Gamzxy,Gamzxz,Gamzyy,Gamzyz,Gamzzz,&
+               Rxx,Rxy,Rxz,Ryy,Ryz,Rzz,&
+               Symmetry,Lev,sst)
+  call constraint_bssn_ss(ex,crho,sigma,R,X, Y, Z,  &
+               drhodx, drhody, drhodz,                                         &
+               dsigmadx,dsigmady,dsigmadz,                                     &
+               dRdx,dRdy,dRdz,                                                 &
+               drhodxx,drhodxy,drhodxz,drhodyy,drhodyz,drhodzz,                &
+               dsigmadxx,dsigmadxy,dsigmadxz,dsigmadyy,dsigmadyz,dsigmadzz,    &
+               dRdxx,dRdxy,dRdxz,dRdyy,dRdyz,dRdzz,                            &
+               chi,trK, &
+               dxx,gxy,gxz,dyy,gyz,dzz, &
+               Axx,Axy,Axz,Ayy,Ayz,Azz, &
+               Gamx,Gamy,Gamz,&
+               Lap,betax,betay,betaz,rho,Sx,Sy,Sz,&
+               Gamxxx, Gamxxy, Gamxxz,Gamxyy, Gamxyz, Gamxzz, &
+               Gamyxx, Gamyxy, Gamyxz,Gamyyy, Gamyyz, Gamyzz, &
+               Gamzxx, Gamzxy, Gamzxz,Gamzyy, Gamzyz, Gamzzz, &
+               Rxx,Rxy,Rxz,Ryy,Ryz,Rzz, &
+               Hcon,Mxcon,Mycon,Mzcon,Gmxcon,Gmycon,Gmzcon, &
+               Symmetry,Lev,sst)
+#endif
 
   gont = 0
 

AMSS_NCKU_source/bssn_class.h

@@ -48,7 +48,6 @@ public:
        double StartTime, TotalTime;
        double AnasTime, DumpTime, d2DumpTime, CheckTime;
        double LastAnas, LastConsOut;
-       bool cuda_level0_constraint_cache_valid;
        int *ConstraintRefreshLevels;
        double Courant;
        double numepss, numepsb, numepsh;

AMSS_NCKU_source/bssn_gpu.h

@@ -0,0 +1,73 @@
+
+#ifndef BSSN_GPU_H_
+#define BSSN_GPU_H_
+#include "bssn_macro.h"
+#include "macrodef.fh"
+
+#define DEVICE_ID 0
+// #define DEVICE_ID_BY_MPI_RANK
+#define GRID_DIM 256
+#define BLOCK_DIM 128
+
+#define _FH2_(i, j, k) fh[(i) + (j) * _1D_SIZE[2] + (k) * _2D_SIZE[2]]
+#define _FH3_(i, j, k) fh[(i) + (j) * _1D_SIZE[3] + (k) * _2D_SIZE[3]]
+#define pow2(x) ((x) * (x))
+#define TimeBetween(a, b) ((b.tv_sec - a.tv_sec) + (b.tv_usec - a.tv_usec) / 1000000.0f)
+#define M_ metac.
+#define Mh_ meta->
+#define Ms_ metassc.
+#define Msh_ metass->
+
+// #define TIMING
+
+#define RHS_SS_PARA int calledby, int mpi_rank, int *ex, double &T, double *crho, double *sigma, double *R, double *X, double *Y, double *Z, double *drhodx, double *drhody, double *drhodz, double *dsigmadx, double *dsigmady, double *dsigmadz, double *dRdx, double *dRdy, double *dRdz, double *drhodxx, double *drhodxy, double *drhodxz, double *drhodyy, double *drhodyz, double *drhodzz, double *dsigmadxx, double *dsigmadxy, double *dsigmadxz, double *dsigmadyy, double *dsigmadyz, double *dsigmadzz, double *dRdxx, double *dRdxy, double *dRdxz, double *dRdyy, double *dRdyz, double *dRdzz, double *chi, double *trK, double *dxx, double *gxy, double *gxz, double *dyy, double *gyz, double *dzz, double *Axx, double *Axy, double *Axz, double *Ayy, double *Ayz, double *Azz, double *Gamx, double *Gamy, double *Gamz, double *Lap, double *betax, double *betay, double *betaz, double *dtSfx, double *dtSfy, double *dtSfz, double *chi_rhs, double *trK_rhs, double *gxx_rhs, double *gxy_rhs, double *gxz_rhs, double *gyy_rhs, double *gyz_rhs, double *gzz_rhs, double *Axx_rhs, double *Axy_rhs, double *Axz_rhs, double *Ayy_rhs, double *Ayz_rhs, double *Azz_rhs, double *Gamx_rhs, double *Gamy_rhs, double *Gamz_rhs, double *Lap_rhs, double *betax_rhs, double *betay_rhs, double *betaz_rhs, double *dtSfx_rhs, double *dtSfy_rhs, double *dtSfz_rhs, double *rho, double *Sx, double *Sy, double *Sz, double *Sxx, double *Sxy, double *Sxz, double *Syy, double *Syz, double *Szz, double *Gamxxx, double *Gamxxy, double *Gamxxz, double *Gamxyy, double *Gamxyz, double *Gamxzz, double *Gamyxx, double *Gamyxy, double *Gamyxz, double *Gamyyy, double *Gamyyz, double *Gamyzz, double *Gamzxx, double *Gamzxy, double *Gamzxz, double *Gamzyy, double *Gamzyz, double *Gamzzz, double *Rxx, double *Rxy, double *Rxz, double *Ryy, double *Ryz, double *Rzz, double *ham_Res, double *movx_Res, double *movy_Res, double *movz_Res, double *Gmx_Res, double *Gmy_Res, double *Gmz_Res, int &Symmetry, int &Lev, double &eps, int &sst, int &co
+
+/**  main function */
+int gpu_rhs(int calledby, int mpi_rank, int *ex, double &T,
+            double *X, double *Y, double *Z,
+
+            double *chi, double *trK,
+
+            double *dxx, double *gxy, double *gxz, double *dyy, double *gyz, double *dzz,
+
+            double *Axx, double *Axy, double *Axz, double *Ayy, double *Ayz, double *Azz,
+
+            double *Gamx, double *Gamy, double *Gamz,
+
+            double *Lap, double *betax, double *betay, double *betaz,
+
+            double *dtSfx, double *dtSfy, double *dtSfz,
+
+            double *chi_rhs, double *trK_rhs,
+
+            double *gxx_rhs, double *gxy_rhs, double *gxz_rhs, double *gyy_rhs, double *gyz_rhs, double *gzz_rhs,
+
+            double *Axx_rhs, double *Axy_rhs, double *Axz_rhs, double *Ayy_rhs, double *Ayz_rhs, double *Azz_rhs,
+
+            double *Gamx_rhs, double *Gamy_rhs, double *Gamz_rhs,
+
+            double *Lap_rhs, double *betax_rhs, double *betay_rhs, double *betaz_rhs,
+
+            double *dtSfx_rhs, double *dtSfy_rhs, double *dtSfz_rhs,
+
+            double *rho, double *Sx, double *Sy, double *Sz, double *Sxx,
+            double *Sxy, double *Sxz, double *Syy, double *Syz, double *Szz,
+
+            double *Gamxxx, double *Gamxxy, double *Gamxxz, double *Gamxyy, double *Gamxyz, double *Gamxzz,
+
+            double *Gamyxx, double *Gamyxy, double *Gamyxz, double *Gamyyy, double *Gamyyz, double *Gamyzz,
+
+            double *Gamzxx, double *Gamzxy, double *Gamzxz, double *Gamzyy, double *Gamzyz, double *Gamzzz,
+
+            double *Rxx, double *Rxy, double *Rxz, double *Ryy, double *Ryz, double *Rzz,
+
+            double *ham_Res, double *movx_Res, double *movy_Res, double *movz_Res,
+            double *Gmx_Res, double *Gmy_Res, double *Gmz_Res,
+            int &Symmetry, int &Lev, double &eps, int &co);
+
+int gpu_rhs_ss(RHS_SS_PARA);
+
+/** Init GPU side data in GPUMeta. */
+// void init_fluid_meta_gpu(GPUMeta *gpu_meta);
+
+#endif

AMSS_NCKU_source/bssn_gpu_class.h

@@ -0,0 +1,210 @@
+
+#ifndef BSSN_GPU_CLASS_H
+#define BSSN_GPU_CLASS_H
+
+#ifdef newc
+#include <iostream>
+#include <iomanip>
+#include <fstream>
+#include <cstdlib>
+#include <string>
+#include <cmath>
+using namespace std;
+#else
+#include <iostream.h>
+#include <iomanip.h>
+#include <fstream.h>
+#include <stdlib.h>
+#include <string.h>
+#include <math.h>
+#endif
+
+#include <mpi.h>
+
+#include "macrodef.h"
+#include "cgh.h"
+#include "ShellPatch.h"
+#include "misc.h"
+#include "var.h"
+#include "MyList.h"
+#include "monitor.h"
+#include "surface_integral.h"
+#include "checkpoint.h"
+
+// added by yangquan
+#include "bssn_macro.h"
+
+extern void setpbh(int iBHN, double **iPBH, double *iMass, int rBHN);
+
+class bssn_class
+{
+public:
+       // added by yangquan
+       //----------------------
+       int gpu_num_mynode;
+       int cpu_core_num_mynode;
+       int mpi_process_num_mynode;
+       int my_sequence_mynode;
+       int mynode_id;
+       int use_gpu;
+
+       virtual void Step_GPU(int lev, int YN);
+       virtual void Get_runtime_envirment();
+       // virtual void Step_OPENMP(int lev,int YN);
+       //----------------------
+
+       int ngfs;
+       int nprocs, myrank;
+       cgh *GH;
+       ShellPatch *SH;
+       double PhysTime;
+
+       int checkrun;
+       char checkfilename[50];
+       int Steps;
+       double StartTime, TotalTime;
+       double AnasTime, DumpTime, d2DumpTime, CheckTime;
+       double LastAnas, LastConsOut;
+       double Courant;
+       double numepss, numepsb, numepsh;
+       int Symmetry;
+       int maxl, decn;
+       double maxrex, drex;
+       int trfls, a_lev;
+
+       double dT;
+       double chitiny;
+
+       double **Porg0, **Porgbr, **Porg, **Porg1, **Porg_rhs;
+       int BH_num, BH_num_input;
+       double *Mass, *Pmom, *Spin;
+       double ADMMass;
+
+       var *phio, *trKo;
+       var *gxxo, *gxyo, *gxzo, *gyyo, *gyzo, *gzzo;
+       var *Axxo, *Axyo, *Axzo, *Ayyo, *Ayzo, *Azzo;
+       var *Gmxo, *Gmyo, *Gmzo;
+       var *Lapo, *Sfxo, *Sfyo, *Sfzo;
+       var *dtSfxo, *dtSfyo, *dtSfzo;
+
+       var *phi0, *trK0;
+       var *gxx0, *gxy0, *gxz0, *gyy0, *gyz0, *gzz0;
+       var *Axx0, *Axy0, *Axz0, *Ayy0, *Ayz0, *Azz0;
+       var *Gmx0, *Gmy0, *Gmz0;
+       var *Lap0, *Sfx0, *Sfy0, *Sfz0;
+       var *dtSfx0, *dtSfy0, *dtSfz0;
+
+       var *phi, *trK;
+       var *gxx, *gxy, *gxz, *gyy, *gyz, *gzz;
+       var *Axx, *Axy, *Axz, *Ayy, *Ayz, *Azz;
+       var *Gmx, *Gmy, *Gmz;
+       var *Lap, *Sfx, *Sfy, *Sfz;
+       var *dtSfx, *dtSfy, *dtSfz;
+
+       var *phi1, *trK1;
+       var *gxx1, *gxy1, *gxz1, *gyy1, *gyz1, *gzz1;
+       var *Axx1, *Axy1, *Axz1, *Ayy1, *Ayz1, *Azz1;
+       var *Gmx1, *Gmy1, *Gmz1;
+       var *Lap1, *Sfx1, *Sfy1, *Sfz1;
+       var *dtSfx1, *dtSfy1, *dtSfz1;
+
+       var *phi_rhs, *trK_rhs;
+       var *gxx_rhs, *gxy_rhs, *gxz_rhs, *gyy_rhs, *gyz_rhs, *gzz_rhs;
+       var *Axx_rhs, *Axy_rhs, *Axz_rhs, *Ayy_rhs, *Ayz_rhs, *Azz_rhs;
+       var *Gmx_rhs, *Gmy_rhs, *Gmz_rhs;
+       var *Lap_rhs, *Sfx_rhs, *Sfy_rhs, *Sfz_rhs;
+       var *dtSfx_rhs, *dtSfy_rhs, *dtSfz_rhs;
+
+       var *rho, *Sx, *Sy, *Sz, *Sxx, *Sxy, *Sxz, *Syy, *Syz, *Szz;
+
+       var *Gamxxx, *Gamxxy, *Gamxxz, *Gamxyy, *Gamxyz, *Gamxzz;
+       var *Gamyxx, *Gamyxy, *Gamyxz, *Gamyyy, *Gamyyz, *Gamyzz;
+       var *Gamzxx, *Gamzxy, *Gamzxz, *Gamzyy, *Gamzyz, *Gamzzz;
+
+       var *Rxx, *Rxy, *Rxz, *Ryy, *Ryz, *Rzz;
+
+       var *Rpsi4, *Ipsi4;
+       var *t1Rpsi4, *t1Ipsi4, *t2Rpsi4, *t2Ipsi4;
+
+       var *Cons_Ham, *Cons_Px, *Cons_Py, *Cons_Pz, *Cons_Gx, *Cons_Gy, *Cons_Gz;
+
+#ifdef Point_Psi4
+       var *phix, *phiy, *phiz;
+       var *trKx, *trKy, *trKz;
+       var *Axxx, *Axxy, *Axxz;
+       var *Axyx, *Axyy, *Axyz;
+       var *Axzx, *Axzy, *Axzz;
+       var *Ayyx, *Ayyy, *Ayyz;
+       var *Ayzx, *Ayzy, *Ayzz;
+       var *Azzx, *Azzy, *Azzz;
+#endif
+       // FIXME: uc = StateList, up = OldStateList, upp = SynchList_cor; so never touch these three data
+       MyList<var> *StateList, *SynchList_pre, *SynchList_cor, *RHSList;
+       MyList<var> *OldStateList, *DumpList;
+       MyList<var> *ConstraintList;
+
+       monitor *ErrorMonitor, *Psi4Monitor, *BHMonitor, *MAPMonitor;
+       monitor *ConVMonitor;
+       surface_integral *Waveshell;
+       checkpoint *CheckPoint;
+
+public:
+       bssn_class(double Couranti, double StartTimei, double TotalTimei, double DumpTimei, double d2DumpTimei, double CheckTimei, double AnasTimei,
+                  int Symmetryi, int checkruni, char *checkfilenamei, double numepssi, double numepsbi, double numepshi,
+                  int a_levi, int maxli, int decni, double maxrexi, double drexi);
+       ~bssn_class();
+
+       void Evolve(int Steps);
+       void RecursiveStep(int lev);
+#if (PSTR == 1)
+       void ParallelStep();
+       void SHStep();
+#endif
+       void RestrictProlong(int lev, int YN, bool BB, MyList<var> *SL, MyList<var> *OL, MyList<var> *corL);
+       void RestrictProlong_aux(int lev, int YN, bool BB, MyList<var> *SL, MyList<var> *OL, MyList<var> *corL);
+       void RestrictProlong(int lev, int YN, bool BB);
+       void ProlongRestrict(int lev, int YN, bool BB);
+       void Setup_Black_Hole_position();
+       void compute_Porg_rhs(double **BH_PS, double **BH_RHS, var *forx, var *fory, var *forz, int lev);
+       bool read_Pablo_file(int *ext, double *datain, char *filename);
+       void write_Pablo_file(int *ext, double xmin, double xmax, double ymin, double ymax, double zmin, double zmax,
+                             char *filename);
+       void AnalysisStuff(int lev, double dT_lev);
+       void Setup_KerrSchild();
+       void Enforce_algcon(int lev, int fg);
+
+       void testRestrict();
+       void testOutBd();
+
+       virtual void Setup_Initial_Data_Lousto();
+       virtual void Setup_Initial_Data_Cao();
+       virtual void Initialize();
+       virtual void Read_Ansorg();
+       virtual void Read_Pablo() {};
+       virtual void Compute_Psi4(int lev);
+       virtual void Step(int lev, int YN);
+       virtual void Interp_Constraint(bool infg);
+       virtual void Constraint_Out();
+       virtual void Compute_Constraint();
+
+#ifdef With_AHF
+protected:
+       MyList<var> *AHList, *AHDList, *GaugeList;
+       int AHfindevery;
+       double AHdumptime;
+       int *lastahdumpid, HN_num; // number of possible horizons
+       int *findeveryl;
+       double *xc, *yc, *zc, *xr, *yr, *zr;
+       bool *trigger;
+       double *dTT;
+       int *dumpid;
+
+public:
+       void AH_Prepare_derivatives();
+       bool AH_Interp_Points(MyList<var> *VarList,
+                             int NN, double **XX,
+                             double *Shellf, int Symmetryi);
+       void AH_Step_Find(int lev, double dT_lev);
+#endif
+};
+#endif /* BSSN_GPU_CLASS_H */

AMSS_NCKU_source/bssn_rhs_c.C

@@ -1098,12 +1098,12 @@ int f_compute_rhs_bssn(int *ex, double &T,
             betaz_rhs[i] = FF * dtSfz[i];
 
             reta[i] =
-                gupxx[i] * chix[i] * chix[i]
-                + gupyy[i] * chiy[i] * chiy[i]
-                + gupzz[i] * chiz[i] * chiz[i]
-                + TWO * ( gupxy[i] * chix[i] * chiy[i]
-                        + gupxz[i] * chix[i] * chiz[i]
-                        + gupyz[i] * chiy[i] * chiz[i] );
+                gupxx[i] * dtSfx_rhs[i] * dtSfx_rhs[i]
+                + gupyy[i] * dtSfy_rhs[i] * dtSfy_rhs[i]
+                + gupzz[i] * dtSfz_rhs[i] * dtSfz_rhs[i]
+                + TWO * ( gupxy[i] * dtSfx_rhs[i] * dtSfy_rhs[i]
+                        + gupxz[i] * dtSfx_rhs[i] * dtSfz_rhs[i]
+                        + gupyz[i] * dtSfy_rhs[i] * dtSfz_rhs[i] );
 
             #if (GAUGE == 2)
             reta[i] = 1.31 / 2.0 * sqrt( reta[i] / chin1[i] ) / pow( (ONE - sqrt(chin1[i])), 2.0 );
@@ -1116,12 +1116,12 @@ int f_compute_rhs_bssn(int *ex, double &T,
             dtSfz_rhs[i] = Gamz_rhs[i] - reta[i] * dtSfz[i];
             #elif (GAUGE == 4 || GAUGE == 5)
             reta[i] =
-                gupxx[i] * chix[i] * chix[i]
-                + gupyy[i] * chiy[i] * chiy[i]
-                + gupzz[i] * chiz[i] * chiz[i]
-                + TWO * ( gupxy[i] * chix[i] * chiy[i]
-                        + gupxz[i] * chix[i] * chiz[i]
-                        + gupyz[i] * chiy[i] * chiz[i] );
+                gupxx[i] * dtSfx_rhs[i] * dtSfx_rhs[i]
+                + gupyy[i] * dtSfy_rhs[i] * dtSfy_rhs[i]
+                + gupzz[i] * dtSfz_rhs[i] * dtSfz_rhs[i]
+                + TWO * ( gupxy[i] * dtSfx_rhs[i] * dtSfy_rhs[i]
+                        + gupxz[i] * dtSfx_rhs[i] * dtSfz_rhs[i]
+                        + gupyz[i] * dtSfy_rhs[i] * dtSfz_rhs[i] );
 
             #if (GAUGE == 4)
             reta[i] = 1.31 / 2.0 * sqrt( reta[i] / chin1[i] ) / pow( (ONE - sqrt(chin1[i])), 2.0 );

AMSS_NCKU_source/bssn_rhs_cuda.h

@@ -1,127 +0,0 @@
-#ifndef BSSN_RHS_CUDA_H
-#define BSSN_RHS_CUDA_H
-
-#ifdef __cplusplus
-extern "C" {
-#endif
-
-enum {
-    BSSN_CUDA_STATE_COUNT = 24,
-    BSSN_CUDA_MATTER_COUNT = 10
-};
-
-int f_compute_rhs_bssn(int *ex, double &T,
-                       double *X, double *Y, double *Z,
-                       double *chi, double *trK,
-                       double *dxx, double *gxy, double *gxz, double *dyy, double *gyz, double *dzz,
-                       double *Axx, double *Axy, double *Axz, double *Ayy, double *Ayz, double *Azz,
-                       double *Gamx, double *Gamy, double *Gamz,
-                       double *Lap, double *betax, double *betay, double *betaz,
-                       double *dtSfx, double *dtSfy, double *dtSfz,
-                       double *chi_rhs, double *trK_rhs,
-                       double *gxx_rhs, double *gxy_rhs, double *gxz_rhs, double *gyy_rhs, double *gyz_rhs, double *gzz_rhs,
-                       double *Axx_rhs, double *Axy_rhs, double *Axz_rhs, double *Ayy_rhs, double *Ayz_rhs, double *Azz_rhs,
-                       double *Gamx_rhs, double *Gamy_rhs, double *Gamz_rhs,
-                       double *Lap_rhs, double *betax_rhs, double *betay_rhs, double *betaz_rhs,
-                       double *dtSfx_rhs, double *dtSfy_rhs, double *dtSfz_rhs,
-                       double *rho, double *Sx, double *Sy, double *Sz,
-                       double *Sxx, double *Sxy, double *Sxz, double *Syy, double *Syz, double *Szz,
-                       double *Gamxxx, double *Gamxxy, double *Gamxxz, double *Gamxyy, double *Gamxyz, double *Gamxzz,
-                       double *Gamyxx, double *Gamyxy, double *Gamyxz, double *Gamyyy, double *Gamyyz, double *Gamyzz,
-                       double *Gamzxx, double *Gamzxy, double *Gamzxz, double *Gamzyy, double *Gamzyz, double *Gamzzz,
-                       double *Rxx, double *Rxy, double *Rxz, double *Ryy, double *Ryz, double *Rzz,
-                       double *ham_Res, double *movx_Res, double *movy_Res, double *movz_Res,
-                       double *Gmx_Res, double *Gmy_Res, double *Gmz_Res,
-                       int &Symmetry, int &Lev, double &eps, int &co);
-
-int bssn_cuda_rk4_substep(void *block_tag,
-                          int *ex, double *X, double *Y, double *Z,
-                          double **state_host_in,
-                          double **state_host_out,
-                          double **matter_host,
-                          const double *propspeed,
-                          const double *soa_flat,
-                          const double *bbox,
-                          double &dT,
-                          double &T,
-                          int &RK4,
-                          int &apply_bam_bc,
-                          int &Symmetry,
-                          int &Lev,
-                          double &eps,
-                          int &co,
-                          int &use_zero_matter,
-                          int &keep_resident_state,
-                          int &apply_enforce_ga,
-                          double &chitiny);
-
-int bssn_cuda_copy_state_region_to_host(void *block_tag,
-                                        int state_index,
-                                        double *host_state,
-                                        int *ex,
-                                        int i0, int j0, int k0,
-                                        int sx, int sy, int sz);
-
-int bssn_cuda_copy_state_region_from_host(void *block_tag,
-                                          int state_index,
-                                          double *host_state,
-                                          int *ex,
-                                          int i0, int j0, int k0,
-                                          int sx, int sy, int sz);
-
-int bssn_cuda_download_resident_state(void *block_tag,
-                                      int *ex,
-                                      double **state_host_out);
-
-int bssn_cuda_download_constraint_outputs(int *ex,
-                                          double **constraint_host_out);
-
-int bssn_cuda_pack_state_region_to_host_buffer(void *block_tag,
-                                               int state_index,
-                                               double *host_buffer,
-                                               int *ex,
-                                               int i0, int j0, int k0,
-                                               int sx, int sy, int sz);
-
-int bssn_cuda_unpack_state_region_from_host_buffer(void *block_tag,
-                                                   int state_index,
-                                                   double *host_buffer,
-                                                   int *ex,
-                                                   int i0, int j0, int k0,
-                                                   int sx, int sy, int sz);
-
-int bssn_cuda_pack_state_batch_to_host_buffer(void *block_tag,
-                                              int state_count,
-                                              double *host_buffer,
-                                              int *ex,
-                                              int i0, int j0, int k0,
-                                              int sx, int sy, int sz);
-
-int bssn_cuda_unpack_state_batch_from_host_buffer(void *block_tag,
-                                                  int state_count,
-                                                  double *host_buffer,
-                                                  int *ex,
-                                                  int i0, int j0, int k0,
-                                                  int sx, int sy, int sz);
-
-int bssn_cuda_download_state_subset(void *block_tag,
-                                    int *ex,
-                                    int subset_count,
-                                    const int *state_indices,
-                                    double **state_host_out);
-
-int bssn_cuda_upload_state_subset(void *block_tag,
-                                  int *ex,
-                                  int subset_count,
-                                  const int *state_indices,
-                                  double **state_host_in);
-
-int bssn_cuda_has_resident_state(void *block_tag);
-
-void bssn_cuda_release_step_ctx(void *block_tag);
-
-#ifdef __cplusplus
-}
-#endif
-
-#endif

AMSS_NCKU_source/gaussj.C

@@ -17,68 +17,106 @@ using namespace std;
 #include <math.h>
 #endif
 
-// Intel oneMKL LAPACK interface
-#include <mkl_lapacke.h>
-/* Linear equation solution using Intel oneMKL LAPACK.
-a[0..n-1][0..n-1] is the input matrix. b[0..n-1] is input
-containing the right-hand side vectors. On output a is
-replaced by its matrix inverse, and b is replaced by the
-corresponding set of solution vectors.
-
-Mathematical equivalence:
-  Solves: A * x = b  =>  x = A^(-1) * b
-  Original Gauss-Jordan and LAPACK dgesv/dgetri produce identical results
-  within numerical precision. */
-
-int gaussj(double *a, double *b, int n)
-{
-  // Allocate pivot array and workspace
-  lapack_int *ipiv = new lapack_int[n];
-  lapack_int info;
-
-  // Make a copy of matrix a for solving (dgesv modifies it to LU form)
-  double *a_copy = new double[n * n];
-  for (int i = 0; i < n * n; i++) {
-    a_copy[i] = a[i];
-  }
-
-  // Step 1: Solve linear system A*x = b using LU decomposition
-  // LAPACKE_dgesv uses column-major by default, but we use row-major
-  info = LAPACKE_dgesv(LAPACK_ROW_MAJOR, n, 1, a_copy, n, ipiv, b, 1);
-
-  if (info != 0) {
-    cout << "gaussj: Singular Matrix (dgesv info=" << info << ")" << endl;
-    delete[] ipiv;
-    delete[] a_copy;
-    return 1;
-  }
-
-  // Step 2: Compute matrix inverse A^(-1) using LU factorization
-  // First do LU factorization of original matrix a
-  info = LAPACKE_dgetrf(LAPACK_ROW_MAJOR, n, n, a, n, ipiv);
-
-  if (info != 0) {
-    cout << "gaussj: Singular Matrix (dgetrf info=" << info << ")" << endl;
-    delete[] ipiv;
-    delete[] a_copy;
-    return 1;
-  }
-
-  // Then compute inverse from LU factorization
-  info = LAPACKE_dgetri(LAPACK_ROW_MAJOR, n, a, n, ipiv);
-
-  if (info != 0) {
-    cout << "gaussj: Singular Matrix (dgetri info=" << info << ")" << endl;
-    delete[] ipiv;
-    delete[] a_copy;
-    return 1;
-  }
-
-  delete[] ipiv;
-  delete[] a_copy;
-
-  return 0;
-}
+/* Linear equation solution by Gauss-Jordan elimination.
+a[0..n-1][0..n-1] is the input matrix. b[0..n-1] is input
+containing the right-hand side vectors. On output a is
+replaced by its matrix inverse, and b is replaced by the
+corresponding set of solution vectors. */
+
+int gaussj(double *a, double *b, int n)
+{
+  double swap;
+
+  int *indxc, *indxr, *ipiv;
+  indxc = new int[n];
+  indxr = new int[n];
+  ipiv = new int[n];
+
+  int i, icol, irow, j, k, l, ll;
+  double big, dum, pivinv;
+
+  for (j = 0; j < n; j++)
+    ipiv[j] = 0;
+  for (i = 0; i < n; i++)
+  {
+    big = 0.0;
+    for (j = 0; j < n; j++)
+      if (ipiv[j] != 1)
+        for (k = 0; k < n; k++)
+        {
+          if (ipiv[k] == 0)
+          {
+            if (fabs(a[j * n + k]) >= big)
+            {
+              big = fabs(a[j * n + k]);
+              irow = j;
+              icol = k;
+            }
+          }
+          else if (ipiv[k] > 1)
+          {
+            cout << "gaussj: Singular Matrix-1" << endl;
+            return 1;
+          }
+        }
+
+    ipiv[icol] = ipiv[icol] + 1;
+    if (irow != icol)
+    {
+      for (l = 0; l < n; l++)
+      {
+        swap = a[irow * n + l];
+        a[irow * n + l] = a[icol * n + l];
+        a[icol * n + l] = swap;
+      }
+
+      swap = b[irow];
+      b[irow] = b[icol];
+      b[icol] = swap;
+    }
+
+    indxr[i] = irow;
+    indxc[i] = icol;
+
+    if (a[icol * n + icol] == 0.0)
+    {
+      cout << "gaussj: Singular Matrix-2" << endl;
+      return 1;
+    }
+
+    pivinv = 1.0 / a[icol * n + icol];
+    a[icol * n + icol] = 1.0;
+    for (l = 0; l < n; l++)
+      a[icol * n + l] *= pivinv;
+    b[icol] *= pivinv;
+    for (ll = 0; ll < n; ll++)
+      if (ll != icol)
+      {
+        dum = a[ll * n + icol];
+        a[ll * n + icol] = 0.0;
+        for (l = 0; l < n; l++)
+          a[ll * n + l] -= a[icol * n + l] * dum;
+        b[ll] -= b[icol] * dum;
+      }
+  }
+
+  for (l = n - 1; l >= 0; l--)
+  {
+    if (indxr[l] != indxc[l])
+      for (k = 0; k < n; k++)
+      {
+        swap = a[k * n + indxr[l]];
+        a[k * n + indxr[l]] = a[k * n + indxc[l]];
+        a[k * n + indxc[l]] = swap;
+      }
+  }
+
+  delete[] indxc;
+  delete[] indxr;
+  delete[] ipiv;
+
+  return 0;
+}
 // for check usage
 /*
 int main()

AMSS_NCKU_source/makefile

@@ -1,53 +1,24 @@
 
 
-include makefile.inc
-
-## polint(ordn=6) kernel selector:
-##   1 (default): barycentric fast path
-##   0          : fallback to Neville path
-POLINT6_USE_BARY ?= 1
-POLINT6_FLAG = -DPOLINT6_USE_BARYCENTRIC=$(POLINT6_USE_BARY)
-
-## ABE build flags selected by PGO_MODE (set in makefile.inc, default: opt)
-##   make                        -> opt  (PGO-guided, maximum performance)
-##   make PGO_MODE=instrument    -> instrument (Phase 1: collect fresh profile data)
-PROFDATA = /home/$(shell whoami)/AMSS-NCKU/pgo_profile/default.profdata
-
-ifeq ($(TOOLCHAIN),intel)
-OMP_FLAG = -qopenmp
-
-ifeq ($(PGO_MODE),instrument)
-## Intel Phase 1: instrumentation — omit -ipo/-fp-model fast=2 for faster build and numerical stability
-CXXAPPFLAGS = -O3 -xHost -fma -fprofile-instr-generate -ipo \
-              -Dfortran3 -Dnewc $(MKL_INC) $(INTERP_LB_FLAGS)
-f90appflags = -O3 -xHost -fma -fprofile-instr-generate -ipo \
-              -align array64byte -fpp $(MKL_INC) $(POLINT6_FLAG)
-else
-## opt (default): maximum performance with PGO profile data -fprofile-instr-use=$(PROFDATA) \
-## PGO has been turned off, now tested and found to be negative optimization
-## INTERP_LB_FLAGS has been turned off too, now tested and found to be negative optimization
-
-
-CXXAPPFLAGS = -O3 -xHost -fp-model fast=2 -fma -ipo \
-              -Dfortran3 -Dnewc $(MKL_INC) $(INTERP_LB_FLAGS)
-f90appflags = -O3 -xHost -fp-model fast=2 -fma -ipo \
-              -align array64byte -fpp $(MKL_INC) $(POLINT6_FLAG)
-endif
-
-TP_OPTFLAGS = -O3 -xHost -fp-model fast=2 -fma -ipo \
-              -fprofile-instr-use=$(TP_PROFDATA) \
-              -Dfortran3 -Dnewc $(MKL_INC)
-else
-## NVHPC defaults: mpicc/mpicxx/mpifort wrappers
-## PGO_MODE is ignored in this branch.
-OMP_FLAG = -mp
-CXXAPPFLAGS = -O3 -tp=host -Mcache_align -Mfma \
-              -Dfortran3 -Dnewc $(MKL_INC) $(INTERP_LB_FLAGS)
-f90appflags = -O3 -tp=host -Mcache_align -Mfma -Mpreprocess \
-              $(MKL_INC) $(POLINT6_FLAG)
-TP_OPTFLAGS = -O3 -tp=host -Mcache_align -Mfma \
-              -Dfortran3 -Dnewc $(MKL_INC)
-endif
+include makefile.inc
+
+## polint(ordn=6) kernel selector:
+##   1 (default): barycentric fast path
+##   0          : fallback to Neville path
+POLINT6_USE_BARY ?= 1
+POLINT6_FLAG = -DPOLINT6_USE_BARYCENTRIC=$(POLINT6_USE_BARY)
+
+## Legacy GNU/OpenMPI flags
+CXXBASEFLAGS = -O3 -march=native -Wno-deprecated -Dfortran3 -Dnewc $(INTERP_LB_FLAGS)
+F90BASEFLAGS = -O3 -march=native -cpp -fallow-argument-mismatch $(POLINT6_FLAG)
+
+ifeq ($(PGO_MODE),instrument)
+CXXAPPFLAGS = $(CXXBASEFLAGS)
+f90appflags = $(F90BASEFLAGS)
+else
+CXXAPPFLAGS = $(CXXBASEFLAGS)
+f90appflags = $(F90BASEFLAGS)
+endif
 
 .SUFFIXES: .o .f90 .C .for .cu
 
@@ -63,14 +34,6 @@ endif
 .cu.o:
 	$(Cu) $(CUDA_APP_FLAGS) -c $< -o $@ $(CUDA_LIB_PATH)
 
-# CUDA rewrite of BSSN RHS (drop-in replacement for bssn_rhs_c + stencil helpers)
-bssn_rhs_cuda.o: bssn_rhs_cuda.cu bssn_rhs.h macrodef.h
-	$(Cu) $(CUDA_APP_FLAGS) -c $< -o $@ $(CUDA_LIB_PATH)
-
-# CUDA rewrite of Z4C Cartesian RHS
-z4c_rhs_cuda.o: z4c_rhs_cuda.cu z4c_rhs_cuda.h bssn_rhs.h macrodef.h ricci_gamma.h
-	$(Cu) $(CUDA_APP_FLAGS) -c $< -o $@ $(CUDA_LIB_PATH)
-
 # C rewrite of BSSN RHS kernel and helpers
 bssn_rhs_c.o: bssn_rhs_c.C
 	${CXX} $(CXXAPPFLAGS) -c $< $(filein) -o $@
@@ -84,83 +47,42 @@ fdderivs_c.o: fdderivs_c.C
 kodiss_c.o: kodiss_c.C
 	${CXX} $(CXXAPPFLAGS) -c $< $(filein) -o $@
 
-lopsided_c.o: lopsided_c.C
-	${CXX} $(CXXAPPFLAGS) -c $< $(filein) -o $@
+lopsided_c.o: lopsided_c.C
+	${CXX} $(CXXAPPFLAGS) -c $< $(filein) -o $@
+
+lopsided_kodis_c.o: lopsided_kodis_c.C
+	${CXX} $(CXXAPPFLAGS) -c $< $(filein) -o $@
+
+#interp_lb_profile.o: interp_lb_profile.C interp_lb_profile.h
+#	${CXX} $(CXXAPPFLAGS) -c $< $(filein) -o $@
 
-lopsided_kodis_c.o: lopsided_kodis_c.C
-	${CXX} $(CXXAPPFLAGS) -c $< $(filein) -o $@
-
-z4c_rhs_c.o: z4c_rhs_c.C
-	${CXX} $(CXXAPPFLAGS) -c $< $(filein) -o $@
-
-#interp_lb_profile.o: interp_lb_profile.C interp_lb_profile.h
-#	${CXX} $(CXXAPPFLAGS) -c $< $(filein) -o $@
-
-TwoPunctures.o: TwoPunctures.C
-	${CXX} $(TP_OPTFLAGS) $(OMP_FLAG) -c $< -o $@
-
-TwoPunctureABE.o: TwoPunctureABE.C
-	${CXX} $(TP_OPTFLAGS) $(OMP_FLAG) -c $< -o $@
+## TwoPunctureABE uses fixed optimal flags with its own PGO profile, independent of CXXAPPFLAGS
+TP_OPTFLAGS = $(CXXBASEFLAGS) $(TP_OPENMP_FLAGS)
+
+TwoPunctures.o: TwoPunctures.C
+	${CXX} $(TP_OPTFLAGS) -c $< -o $@
+
+TwoPunctureABE.o: TwoPunctureABE.C
+	${CXX} $(TP_OPTFLAGS) -c $< -o $@
 
 # Input files
 
-## CUDA BSSN RHS switch
-##   1 : use the rewritten CUDA bssn_rhs backend
-##   0 : keep the normal CPU/Fortran selection below
-USE_CUDA_BSSN ?= 0
-USE_CUDA_Z4C ?= 0
-
-CXXAPPFLAGS += -DUSE_CUDA_BSSN=$(USE_CUDA_BSSN)
-CUDA_APP_FLAGS += -DUSE_CUDA_BSSN=$(USE_CUDA_BSSN)
-CXXAPPFLAGS += -DUSE_CUDA_Z4C=$(USE_CUDA_Z4C)
-CUDA_APP_FLAGS += -DUSE_CUDA_Z4C=$(USE_CUDA_Z4C)
-
 ## Kernel implementation switch (set USE_CXX_KERNELS=0 to fall back to Fortran)
-ifeq ($(USE_CXX_KERNELS),0)
-# Fortran mode: no C rewrite files; bssn_rhs.o is included via F90FILES below
-CFILES_CPU =
-else
-# C++ mode (default): C rewrite of bssn_rhs and helper kernels
-CFILES_CPU = bssn_rhs_c.o fderivs_c.o fdderivs_c.o kodiss_c.o lopsided_c.o lopsided_kodis_c.o
-endif
-
-CFILES_CUDA_BSSN = bssn_rhs_cuda.o
-
-ifeq ($(USE_CUDA_BSSN),1)
-CFILES = $(CFILES_CUDA_BSSN)
-else
-CFILES = $(CFILES_CPU)
-endif
-
-ifeq ($(USE_CUDA_Z4C),1)
-CFILES += z4c_rhs_cuda.o
-Z4C_F90_OBJ =
-else ifeq ($(USE_CXX_Z4C_KERNELS),1)
-CFILES += z4c_rhs_c.o
-Z4C_F90_OBJ =
-else
-Z4C_F90_OBJ = Z4c_rhs.o
-endif
-
-## RK4 kernel switch (independent from USE_CXX_KERNELS)
-ifeq ($(USE_CXX_RK4),1)
-RK4_C_OBJ = rungekutta4_rout_c.o
-RK4_F90_OBJ =
-else
-RK4_C_OBJ =
-RK4_F90_OBJ = rungekutta4_rout.o
-endif
-
-CFILES += $(RK4_C_OBJ)
-ABE_CUDA_CFILES = $(CFILES_CUDA_BSSN) z4c_rhs_cuda.o $(RK4_C_OBJ)
-
-ABE_LDLIBS = $(LDLIBS)
-ifeq ($(USE_CUDA_BSSN),1)
-ABE_LDLIBS += -lcudart $(CUDA_LIB_PATH)
-endif
-ifeq ($(USE_CUDA_Z4C),1)
-ABE_LDLIBS += -lcudart $(CUDA_LIB_PATH)
-endif
+ifeq ($(USE_CXX_KERNELS),0)
+# Fortran mode: no C rewrite files; bssn_rhs.o is included via F90FILES below
+CFILES =
+else
+# C++ mode (default): C rewrite of bssn_rhs and helper kernels
+CFILES = bssn_rhs_c.o fderivs_c.o fdderivs_c.o kodiss_c.o lopsided_c.o lopsided_kodis_c.o
+endif
+
+## RK4 kernel switch (independent from USE_CXX_KERNELS)
+ifeq ($(USE_CXX_RK4),1)
+CFILES += rungekutta4_rout_c.o
+RK4_F90_OBJ =
+else
+RK4_F90_OBJ = rungekutta4_rout.o
+endif
 
 C++FILES = ABE.o Ansorg.o Block.o misc.o monitor.o Parallel.o MPatch.o var.o\
            cgh.o bssn_class.o surface_integral.o ShellPatch.o\
@@ -169,7 +91,7 @@ C++FILES = ABE.o Ansorg.o Block.o misc.o monitor.o Parallel.o MPatch.o var.o\
            Parallel_bam.o scalar_class.o transpbh.o NullShellPatch2.o\
 	   NullShellPatch2_Evo.o writefile_f.o interp_lb_profile.o
 	   
-#C++FILES_GPU = ABE.o Ansorg.o Block.o misc.o monitor.o Parallel.o MPatch.o var.o\
+C++FILES_GPU = ABE.o Ansorg.o Block.o misc.o monitor.o Parallel.o MPatch.o var.o\
            cgh.o surface_integral.o ShellPatch.o\
 	   bssnEScalar_class.o perf.o Z4c_class.o NullShellPatch.o\
 	   bssnEM_class.o cpbc_util.o z4c_rhs_point.o checkpoint.o\
@@ -177,13 +99,13 @@ C++FILES = ABE.o Ansorg.o Block.o misc.o monitor.o Parallel.o MPatch.o var.o\
 	   NullShellPatch2_Evo.o \
 	   bssn_gpu_class.o bssn_step_gpu.o bssn_macro.o writefile_f.o
 
-F90FILES_BASE = enforce_algebra.o fmisc.o initial_puncture.o prolongrestrict.o\
-	   prolongrestrict_cell.o prolongrestrict_vertex.o\
-	   $(RK4_F90_OBJ) diff_new.o kodiss.o kodiss_sh.o\
-	   lopsidediff.o sommerfeld_rout.o getnp4.o diff_new_sh.o\
-	   shellfunctions.o bssn_rhs_ss.o Set_Rho_ADM.o\
-           getnp4EScalar.o bssnEScalar_rhs.o bssn_constraint.o ricci_gamma.o\
-           fadmquantites_bssn.o $(Z4C_F90_OBJ) Z4c_rhs_ss.o point_diff_new_sh.o\
+F90FILES_BASE = enforce_algebra.o fmisc.o initial_puncture.o prolongrestrict.o\
+	   prolongrestrict_cell.o prolongrestrict_vertex.o\
+	   $(RK4_F90_OBJ) diff_new.o kodiss.o kodiss_sh.o\
+	   lopsidediff.o sommerfeld_rout.o getnp4.o diff_new_sh.o\
+	   shellfunctions.o bssn_rhs_ss.o Set_Rho_ADM.o\
+           getnp4EScalar.o bssnEScalar_rhs.o bssn_constraint.o ricci_gamma.o\
+           fadmquantites_bssn.o Z4c_rhs.o Z4c_rhs_ss.o point_diff_new_sh.o\
 	   cpbc.o getnp4old.o NullEvol.o initial_null.o initial_maxwell.o\
 	   getnpem2.o empart.o NullNews.o fourdcurvature.o\
 	   bssn2adm.o adm_constraint.o adm_ricci_gamma.o\
@@ -207,10 +129,10 @@ initial_guess.o Newton.o Jacobian.o ilucg.o IntPnts0.o IntPnts.o
 
 TwoPunctureFILES = TwoPunctureABE.o TwoPunctures.o 
 
-#CUDAFILES = bssn_gpu.o bssn_gpu_rhs_ss.o
+CUDAFILES = bssn_gpu.o bssn_gpu_rhs_ss.o
 
 # file dependences
-$(C++FILES) $(C++FILES_GPU) $(F90FILES) $(CFILES) $(ABE_CUDA_CFILES) $(AHFDOBJS) $(CUDAFILES): macrodef.fh
+$(C++FILES) $(C++FILES_GPU) $(F90FILES) $(CFILES) $(AHFDOBJS) $(CUDAFILES): macrodef.fh
 
 $(C++FILES): Block.h enforce_algebra.h fmisc.h initial_puncture.h macrodef.h\
 	     misc.h monitor.h MyList.h Parallel.h MPatch.h prolongrestrict.h\
@@ -221,7 +143,7 @@ $(C++FILES): Block.h enforce_algebra.h fmisc.h initial_puncture.h macrodef.h\
 	     empart.h NullNews.h kodiss.h Parallel_bam.h ricci_gamma.h\
              initial_null2.h NullShellPatch2.h 
              
-#$(C++FILES_GPU): Block.h enforce_algebra.h fmisc.h initial_puncture.h macrodef.h\
+$(C++FILES_GPU): Block.h enforce_algebra.h fmisc.h initial_puncture.h macrodef.h\
 	     misc.h monitor.h MyList.h Parallel.h MPatch.h prolongrestrict.h\
 	     rungekutta4_rout.h var.h bssn_rhs.h sommerfeld_rout.h\
 	     cgh.h surface_integral.h ShellPatch.h shellfunctions.h perf.h\
@@ -233,7 +155,7 @@ $(C++FILES): Block.h enforce_algebra.h fmisc.h initial_puncture.h macrodef.h\
              
 $(AHFDOBJS): cctk.h cctk_Config.h cctk_Types.h cctk_Constants.h myglobal.h
 
-$(C++FILES) $(C++FILES_GPU) $(CFILES) $(ABE_CUDA_CFILES) $(AHFDOBJS) $(CUDAFILES): macrodef.h
+$(C++FILES) $(C++FILES_GPU) $(CFILES) $(AHFDOBJS) $(CUDAFILES): macrodef.h
 
 TwoPunctureFILES: TwoPunctures.h
 
@@ -243,18 +165,13 @@ misc.o : zbesh.o
 
 # projects
 ABE: $(C++FILES) $(CFILES) $(F90FILES) $(F77FILES) $(AHFDOBJS)
-	$(CLINKER) $(CXXAPPFLAGS) -o $@ $(C++FILES) $(CFILES) $(F90FILES) $(F77FILES) $(AHFDOBJS) $(ABE_LDLIBS)
-
-ABE_CUDA: USE_CUDA_BSSN=1
-ABE_CUDA: USE_CUDA_Z4C=1
-ABE_CUDA: $(C++FILES) $(ABE_CUDA_CFILES) $(F90FILES) $(F77FILES) $(AHFDOBJS)
-	$(CLINKER) $(CXXAPPFLAGS) -o $@ $(C++FILES) $(ABE_CUDA_CFILES) $(F90FILES) $(F77FILES) $(AHFDOBJS) $(LDLIBS) -lcudart $(CUDA_LIB_PATH)
+	$(CLINKER) $(CXXAPPFLAGS) -o $@ $(C++FILES) $(CFILES) $(F90FILES) $(F77FILES) $(AHFDOBJS) $(LDLIBS)
 	
-#ABEGPU: $(C++FILES_GPU) $(CFILES) $(F90FILES) $(F77FILES) $(AHFDOBJS) $(CUDAFILES)
-#	$(CLINKER) $(CXXAPPFLAGS) -o $@ $(C++FILES_GPU) $(CFILES) $(F90FILES) $(F77FILES) $(AHFDOBJS) $(CUDAFILES) $(LDLIBS)
+ABEGPU: $(C++FILES_GPU) $(CFILES) $(F90FILES) $(F77FILES) $(AHFDOBJS) $(CUDAFILES)
+	$(CLINKER) $(CXXAPPFLAGS) -o $@ $(C++FILES_GPU) $(CFILES) $(F90FILES) $(F77FILES) $(AHFDOBJS) $(CUDAFILES) $(LDLIBS)
 
-TwoPunctureABE: $(TwoPunctureFILES)
-	$(CLINKER) $(TP_OPTFLAGS) $(OMP_FLAG) -o $@ $(TwoPunctureFILES) $(LDLIBS)
+TwoPunctureABE: $(TwoPunctureFILES)
+	$(CLINKER) $(TP_OPTFLAGS) -o $@ $(TwoPunctureFILES) $(LDLIBS)
 
 clean:
-	rm *.o ABE ABE_CUDA ABEGPU TwoPunctureABE make.log -f
+	rm *.o ABE ABEGPU TwoPunctureABE make.log -f

AMSS_NCKU_source/makefile.inc

@@ -1,12 +1,27 @@
-## Toolchain selection
-##   nvhpc : NVIDIA HPC SDK + CUDA-aware MPI (default)
-##   intel : Intel oneAPI toolchain (legacy path)
-TOOLCHAIN ?= nvhpc
+## Legacy GNU/OpenMPI toolchain configuration
 
-## PGO build mode switch (ABE only; TwoPunctureABE always uses opt flags)
-##   opt        : (default) maximum performance with PGO profile-guided optimization
-##   instrument : PGO Phase 1 instrumentation to collect fresh profile data
-PGO_MODE ?= opt
+## OpenMPI wrappers are installed but may not be on PATH.
+OMPI_BIN ?= /usr/lib64/openmpi/bin
+
+## Wrapper compilers
+f90          = $(OMPI_BIN)/mpifort
+f77          = $(OMPI_BIN)/mpifort
+CXX          = $(OMPI_BIN)/mpicxx
+CC           = $(OMPI_BIN)/mpicc
+CLINKER      = $(OMPI_BIN)/mpicxx
+
+## Extra include flags are not needed when using the OpenMPI wrappers.
+filein       =
+
+## BLAS/LAPACK backend:
+## OpenBLAS on this system provides BLAS, CBLAS and LAPACK symbols.
+BLAS_LAPACK_LIB ?= /lib64/libopenblaso.so.0
+LDLIBS  = $(BLAS_LAPACK_LIB) -lgfortran -lpthread -lm -ldl
+
+## PGO build mode switch
+##   off        : default legacy GNU build without PGO
+##   instrument : accepted for compatibility, currently same as off
+PGO_MODE ?= off
 
 ## Interp_Points load balance profiling mode
 ##   off        : (default) no load balance instrumentation
@@ -22,70 +37,19 @@ else
 INTERP_LB_FLAGS =
 endif
 
-MKLROOT ?= /home/intel/oneapi/mkl/latest
-MKL_LIBDIR ?= $(MKLROOT)/lib/intel64
-MKL_INC ?= -I$(MKLROOT)/include
-
-NVHPC_ROOT ?= /home/nvidia/hpc_sdk/Linux_x86_64/25.11
-CUDA_HOME  ?= $(NVHPC_ROOT)/cuda
-CUDA_ARCH  ?= sm_80
-
 ## Kernel implementation switch
 ##   1 (default) : use C++ rewrite of bssn_rhs and helper kernels (faster)
 ##   0           : fall back to original Fortran kernels
 USE_CXX_KERNELS ?= 1
 
-## Z4C Cartesian RHS kernel switch
-##   1 (default) : use C++ rewrite of Z4c_rhs (main Cartesian path faster)
-##   0           : use original Fortran Z4c_rhs.o
-USE_CXX_Z4C_KERNELS ?= 1
-
 ## RK4 kernel implementation switch
-##   1 (default) : use C/C++ rewrite of rungekutta4_rout (for optimization experiments)
+##   1 (default) : use C/C++ rewrite of rungekutta4_rout
 ##   0           : use original Fortran rungekutta4_rout.o
 USE_CXX_RK4 ?= 1
 
-## Memory allocator switch
-##   1 (default) : link Intel oneTBB allocator (libtbbmalloc)
-##   0           : use system default allocator (ptmalloc)
-USE_TBBMALLOC ?= 1
-TBBMALLOC_SO ?= /home/intel/oneapi/2025.3/lib/libtbbmalloc.so
-ifneq ($(wildcard $(TBBMALLOC_SO)),)
-TBBMALLOC_LIBS = -Wl,--no-as-needed $(TBBMALLOC_SO) -Wl,--as-needed
-else
-TBBMALLOC_LIBS = -Wl,--no-as-needed -ltbbmalloc -Wl,--as-needed
-endif
+## OpenMP is only used for TwoPunctures on the legacy toolchain.
+TP_OPENMP_FLAGS ?= -fopenmp
 
-ifeq ($(TOOLCHAIN),intel)
-f90          = ifx
-f77          = ifx
-CXX          = icpx
-CC           = icx
-CLINKER      = mpiicpx
-filein  = -I/usr/include/ $(MKL_INC) -I$(CUDA_HOME)/include
-LDLIBS       = -L$(MKL_LIBDIR) -Wl,-rpath,$(MKL_LIBDIR) \
-               -lmkl_intel_lp64 -lmkl_sequential -lmkl_core \
-               -lifcore -limf -liomp5 -lpthread -lm -ldl \
-               -L$(CUDA_HOME)/lib64 -Wl,-rpath,$(CUDA_HOME)/lib64 -lcuda -lcudart
-else ifeq ($(TOOLCHAIN),nvhpc)
-f90          = mpifort
-f77          = mpifort
-CXX          = mpicxx
-CC           = mpicc
-CLINKER      = mpicxx
-
-filein       = -I/usr/include/ $(MKL_INC) -I$(CUDA_HOME)/include
-LDLIBS       = -L$(MKL_LIBDIR) -Wl,-rpath,$(MKL_LIBDIR) \
-               -lmkl_intel_lp64 -lmkl_sequential -lmkl_core \
-               -lpthread -lm -ldl \
-               -L$(CUDA_HOME)/lib64 -Wl,-rpath,$(CUDA_HOME)/lib64 -lcuda -lcudart \
-               -fortranlibs
-endif
-
-ifeq ($(USE_TBBMALLOC),1)
-LDLIBS := $(TBBMALLOC_LIBS) $(LDLIBS)
-endif
-
-Cu = $(NVHPC_ROOT)/compilers/bin/nvcc
-CUDA_LIB_PATH = -L$(CUDA_HOME)/lib64 -I$(CUDA_HOME)/include
-CUDA_APP_FLAGS = -c -g -O3 --ptxas-options=-v -Dfortran3 -Dnewc -arch=$(CUDA_ARCH)
+Cu = nvcc
+CUDA_LIB_PATH = -L/usr/lib/cuda/lib64 -I/usr/include -I/usr/lib/cuda/include
+CUDA_APP_FLAGS = -c -g -O3 --ptxas-options=-v -Dfortran3 -Dnewc

AMSS_NCKU_source/z4c_rhs_c.C

@@ -1,725 +0,0 @@
-#include "macrodef.h"
-#include "bssn_rhs.h"
-#include "fmisc.h"
-#include "ricci_gamma.h"
-#include "share_func.h"
-#include "tool.h"
-#include <vector>
-
-#ifdef fortran1
-#define f_constraint_bssn constraint_bssn
-#define f_z4c_rhs_point z4c_rhs_point
-#endif
-#ifdef fortran2
-#define f_constraint_bssn CONSTRAINT_BSSN
-#define f_z4c_rhs_point Z4C_RHS_POINT
-#endif
-#ifdef fortran3
-#define f_constraint_bssn constraint_bssn_
-#define f_z4c_rhs_point z4c_rhs_point_
-#endif
-
-extern "C" void f_constraint_bssn(int *, double *, double *, double *,
-                                  double *, double *,
-                                  double *, double *, double *, double *, double *, double *,
-                                  double *, double *, double *, double *, double *, double *,
-                                  double *, double *, double *,
-                                  double *, double *, double *, double *, double *, double *, double *, double *, double *, double *,
-                                  double *, double *, double *, double *, double *, double *,
-                                  double *, double *, double *, double *, double *, double *,
-                                  double *, double *, double *, double *, double *, double *,
-                                  double *, double *, double *, double *, double *, double *, double *, double *,
-                                  double *, double *, double *,
-                                  int &);
-
-extern "C" void f_z4c_rhs_point(
-    double &A11,
-    double &A12,
-    double &A13,
-    double &A22,
-    double &A23,
-    double &A33,
-    double &alpha,
-    double &B1,
-    double &B2,
-    double &B3,
-    double &beta1,
-    double &beta2,
-    double &beta3,
-    double &chi,
-    double &chiDivFloor,
-    double &da1,
-    double &dA111,
-    double &dA112,
-    double &dA113,
-    double &dA122,
-    double &dA123,
-    double &dA133,
-    double &da2,
-    double &dA211,
-    double &dA212,
-    double &dA213,
-    double &dA222,
-    double &dA223,
-    double &dA233,
-    double &da3,
-    double &dA311,
-    double &dA312,
-    double &dA313,
-    double &dA322,
-    double &dA323,
-    double &dA333,
-    double &db11,
-    double &dB11,
-    double &db12,
-    double &dB12,
-    double &db13,
-    double &dB13,
-    double &db21,
-    double &dB21,
-    double &db22,
-    double &dB22,
-    double &db23,
-    double &dB23,
-    double &db31,
-    double &dB31,
-    double &db32,
-    double &dB32,
-    double &db33,
-    double &dB33,
-    double &dchi1,
-    double &dchi2,
-    double &dchi3,
-    double &dda11,
-    double &dda12,
-    double &dda13,
-    double &dda22,
-    double &dda23,
-    double &dda33,
-    double &ddb111,
-    double &ddb112,
-    double &ddb113,
-    double &ddb121,
-    double &ddb122,
-    double &ddb123,
-    double &ddb131,
-    double &ddb132,
-    double &ddb133,
-    double &ddb221,
-    double &ddb222,
-    double &ddb223,
-    double &ddb231,
-    double &ddb232,
-    double &ddb233,
-    double &ddb331,
-    double &ddb332,
-    double &ddb333,
-    double &ddchi11,
-    double &ddchi12,
-    double &ddchi13,
-    double &ddchi22,
-    double &ddchi23,
-    double &ddchi33,
-    double &deldelg1111,
-    double &deldelg1112,
-    double &deldelg1113,
-    double &deldelg1122,
-    double &deldelg1123,
-    double &deldelg1133,
-    double &deldelg1211,
-    double &deldelg1212,
-    double &deldelg1213,
-    double &deldelg1222,
-    double &deldelg1223,
-    double &deldelg1233,
-    double &deldelg1311,
-    double &deldelg1312,
-    double &deldelg1313,
-    double &deldelg1322,
-    double &deldelg1323,
-    double &deldelg1333,
-    double &deldelg2211,
-    double &deldelg2212,
-    double &deldelg2213,
-    double &deldelg2222,
-    double &deldelg2223,
-    double &deldelg2233,
-    double &deldelg2311,
-    double &deldelg2312,
-    double &deldelg2313,
-    double &deldelg2322,
-    double &deldelg2323,
-    double &deldelg2333,
-    double &deldelg3311,
-    double &deldelg3312,
-    double &deldelg3313,
-    double &deldelg3322,
-    double &deldelg3323,
-    double &deldelg3333,
-    double &delG11,
-    double &delg111,
-    double &delg112,
-    double &delg113,
-    double &delG12,
-    double &delg122,
-    double &delg123,
-    double &delG13,
-    double &delg133,
-    double &delG21,
-    double &delg211,
-    double &delg212,
-    double &delg213,
-    double &delG22,
-    double &delg222,
-    double &delg223,
-    double &delG23,
-    double &delg233,
-    double &delG31,
-    double &delg311,
-    double &delg312,
-    double &delg313,
-    double &delG32,
-    double &delg322,
-    double &delg323,
-    double &delG33,
-    double &delg333,
-    double &dKhat1,
-    double &dKhat2,
-    double &dKhat3,
-    double &dTheta1,
-    double &dTheta2,
-    double &dTheta3,
-    double &G1,
-    double &g11,
-    double &g12,
-    double &g13,
-    double &G2,
-    double &g22,
-    double &g23,
-    double &G3,
-    double &g33,
-    double &kappa1,
-    double &kappa2,
-    double &Khat,
-    double &rA11,
-    double &rA12,
-    double &rA13,
-    double &rA22,
-    double &rA23,
-    double &rA33,
-    double &rchi,
-    double &rG1,
-    double &rg11,
-    double &rg12,
-    double &rg13,
-    double &rG2,
-    double &rg22,
-    double &rg23,
-    double &rG3,
-    double &rg33,
-    double &rKhat,
-    double &rTheta,
-    double &Theta);
-
-static inline void z4c_contract_gamma(
-    const double gxx, const double gxy, const double gxz,
-    const double gyy, const double gyz, const double gzz,
-    const double gxxx, const double gxyx, const double gxzx,
-    const double gyyx, const double gyzx, const double gzzx,
-    const double gxxy, const double gxyy, const double gxzy,
-    const double gyyy, const double gyzy, const double gzzy,
-    const double gxxz, const double gxyz, const double gxzz,
-    const double gyyz, const double gyzz, const double gzzz,
-    double &Gamxa, double &Gamya, double &Gamza)
-{
-    double det = gxx * gyy * gzz + gxy * gyz * gxz + gxz * gxy * gyz -
-                 gxz * gyy * gxz - gxy * gxy * gzz - gxx * gyz * gyz;
-    const double gupxx = (gyy * gzz - gyz * gyz) / det;
-    const double gupxy = -(gxy * gzz - gyz * gxz) / det;
-    const double gupxz = (gxy * gyz - gyy * gxz) / det;
-    const double gupyy = (gxx * gzz - gxz * gxz) / det;
-    const double gupyz = -(gxx * gyz - gxy * gxz) / det;
-    const double gupzz = (gxx * gyy - gxy * gxy) / det;
-
-    const double Gamxxx = 0.5 * (gupxx * gxxx + gupxy * (2.0 * gxyx - gxxy) + gupxz * (2.0 * gxzx - gxxz));
-    const double Gamyxx = 0.5 * (gupxy * gxxx + gupyy * (2.0 * gxyx - gxxy) + gupyz * (2.0 * gxzx - gxxz));
-    const double Gamzxx = 0.5 * (gupxz * gxxx + gupyz * (2.0 * gxyx - gxxy) + gupzz * (2.0 * gxzx - gxxz));
-
-    const double Gamxyy = 0.5 * (gupxx * (2.0 * gxyy - gyyx) + gupxy * gyyy + gupxz * (2.0 * gyzy - gyyz));
-    const double Gamyyy = 0.5 * (gupxy * (2.0 * gxyy - gyyx) + gupyy * gyyy + gupyz * (2.0 * gyzy - gyyz));
-    const double Gamzyy = 0.5 * (gupxz * (2.0 * gxyy - gyyx) + gupyz * gyyy + gupzz * (2.0 * gyzy - gyyz));
-
-    const double Gamxzz = 0.5 * (gupxx * (2.0 * gxzz - gzzx) + gupxy * (2.0 * gyzz - gzzy) + gupxz * gzzz);
-    const double Gamyzz = 0.5 * (gupxy * (2.0 * gxzz - gzzx) + gupyy * (2.0 * gyzz - gzzy) + gupyz * gzzz);
-    const double Gamzzz = 0.5 * (gupxz * (2.0 * gxzz - gzzx) + gupyz * (2.0 * gyzz - gzzy) + gupzz * gzzz);
-
-    const double Gamxxy = 0.5 * (gupxx * gxxy + gupxy * gyyx + gupxz * (gxzy + gyzx - gxyz));
-    const double Gamyxy = 0.5 * (gupxy * gxxy + gupyy * gyyx + gupyz * (gxzy + gyzx - gxyz));
-    const double Gamzxy = 0.5 * (gupxz * gxxy + gupyz * gyyx + gupzz * (gxzy + gyzx - gxyz));
-
-    const double Gamxxz = 0.5 * (gupxx * gxxz + gupxy * (gxyz + gyzx - gxzy) + gupxz * gzzx);
-    const double Gamyxz = 0.5 * (gupxy * gxxz + gupyy * (gxyz + gyzx - gxzy) + gupyz * gzzx);
-    const double Gamzxz = 0.5 * (gupxz * gxxz + gupyz * (gxyz + gyzx - gxzy) + gupzz * gzzx);
-
-    const double Gamxyz = 0.5 * (gupxx * (gxyz + gxzy - gyzx) + gupxy * gyyz + gupxz * gzzy);
-    const double Gamyyz = 0.5 * (gupxy * (gxyz + gxzy - gyzx) + gupyy * gyyz + gupyz * gzzy);
-    const double Gamzyz = 0.5 * (gupxz * (gxyz + gxzy - gyzx) + gupyz * gyyz + gupzz * gzzy);
-
-    Gamxa = gupxx * Gamxxx + gupyy * Gamxyy + gupzz * Gamxzz +
-            2.0 * (gupxy * Gamxxy + gupxz * Gamxxz + gupyz * Gamxyz);
-    Gamya = gupxx * Gamyxx + gupyy * Gamyyy + gupzz * Gamyzz +
-            2.0 * (gupxy * Gamyxy + gupxz * Gamyxz + gupyz * Gamyyz);
-    Gamza = gupxx * Gamzxx + gupyy * Gamzyy + gupzz * Gamzzz +
-            2.0 * (gupxy * Gamzxy + gupxz * Gamzxz + gupyz * Gamzyz);
-}
-
-static int compute_rhs_z4c_cartesian(
-    int *ex, double &T, double *X, double *Y, double *Z,
-    double *chi_state, double *chi_constraints, double *trK,
-    double *dxx, double *gxy, double *gxz, double *dyy, double *gyz, double *dzz,
-    double *Axx, double *Axy, double *Axz, double *Ayy, double *Ayz, double *Azz,
-    double *Gamx, double *Gamy, double *Gamz,
-    double *Lap, double *betax, double *betay, double *betaz,
-    double *dtSfx, double *dtSfy, double *dtSfz,
-    double *TZ,
-    double *chi_rhs, double *trK_rhs,
-    double *gxx_rhs, double *gxy_rhs, double *gxz_rhs, double *gyy_rhs, double *gyz_rhs, double *gzz_rhs,
-    double *Axx_rhs, double *Axy_rhs, double *Axz_rhs, double *Ayy_rhs, double *Ayz_rhs, double *Azz_rhs,
-    double *Gamx_rhs, double *Gamy_rhs, double *Gamz_rhs,
-    double *Lap_rhs, double *betax_rhs, double *betay_rhs, double *betaz_rhs,
-    double *dtSfx_rhs, double *dtSfy_rhs, double *dtSfz_rhs,
-    double *TZ_rhs,
-    double *rho, double *Sx, double *Sy, double *Sz,
-    double *Sxx, double *Sxy, double *Sxz, double *Syy, double *Syz, double *Szz,
-    double *Gamxxx, double *Gamxxy, double *Gamxxz, double *Gamxyy, double *Gamxyz, double *Gamxzz,
-    double *Gamyxx, double *Gamyxy, double *Gamyxz, double *Gamyyy, double *Gamyyz, double *Gamyzz,
-    double *Gamzxx, double *Gamzxy, double *Gamzxz, double *Gamzyy, double *Gamzyz, double *Gamzzz,
-    double *Rxx, double *Rxy, double *Rxz, double *Ryy, double *Ryz, double *Rzz,
-    double *Hcon, double *Mxcon, double *Mycon, double *Mzcon, double *Gmxcon, double *Gmycon, double *Gmzcon,
-    int &Symmetry, int &Lev, double &eps, int &co)
-{
-    (void)T;
-
-    const int nx = ex[0];
-    const int ny = ex[1];
-    const int nz = ex[2];
-    const int all = nx * ny * nz;
-
-    double alpn1[all], chin1[all], gxx[all], gyy[all], gzz[all];
-    double chix[all], chiy[all], chiz[all], chixx[all], chixy[all], chixz[all], chiyy[all], chiyz[all], chizz[all];
-    double gxxx[all], gxyx[all], gxzx[all], gyyx[all], gyzx[all], gzzx[all];
-    double gxxy[all], gxyy[all], gxzy[all], gyyy[all], gyzy[all], gzzy[all];
-    double gxxz[all], gxyz[all], gxzz[all], gyyz[all], gyzz[all], gzzz[all];
-    double gxxxx[all], gxxxy[all], gxxxz[all], gxxyy[all], gxxyz[all], gxxzz[all];
-    double gxyxx[all], gxyxy[all], gxyxz[all], gxyyy[all], gxyyz[all], gxyzz[all];
-    double gxzxx[all], gxzxy[all], gxzxz[all], gxzyy[all], gxzyz[all], gxzzz[all];
-    double gyyxx[all], gyyxy[all], gyyxz[all], gyyyy[all], gyyyz[all], gyyzz[all];
-    double gyzxx[all], gyzxy[all], gyzxz[all], gyzyy[all], gyzyz[all], gyzzz[all];
-    double gzzxx[all], gzzxy[all], gzzxz[all], gzzyy[all], gzzyz[all], gzzzz[all];
-    double Lapx[all], Lapy[all], Lapz[all], Lapxx[all], Lapxy[all], Lapxz[all], Lapyy[all], Lapyz[all], Lapzz[all];
-    double betaxx[all], betaxy[all], betaxz[all], betayx[all], betayy[all], betayz[all], betazx[all], betazy[all], betazz[all];
-    double dBxx[all], dBxy[all], dBxz[all], dByx[all], dByy[all], dByz[all], dBzx[all], dBzy[all], dBzz[all];
-    double sfxxx[all], sfxxy[all], sfxxz[all], sfxyy[all], sfxyz[all], sfxzz[all];
-    double sfyxx[all], sfyxy[all], sfyxz[all], sfyyy[all], sfyyz[all], sfyzz[all];
-    double sfzxx[all], sfzxy[all], sfzxz[all], sfzyy[all], sfzyz[all], sfzzz[all];
-    double Gamxx[all], Gamxy[all], Gamxz[all], Gamyx[all], Gamyy[all], Gamyz[all], Gamzx[all], Gamzy[all], Gamzz[all];
-    double Kx[all], Ky[all], Kz[all], TZx[all], TZy[all], TZz[all];
-    double Axxx[all], Axxy[all], Axxz[all], Axyx[all], Axyy[all], Axyz[all];
-    double Axzx[all], Axzy[all], Axzz[all], Ayyx[all], Ayyy[all], Ayyz[all];
-    double Ayzx[all], Ayzy[all], Ayzz[all], Azzx[all], Azzy[all], Azzz[all];
-
-    const double SSS[3] = {1.0, 1.0, 1.0};
-    const double AAS[3] = {-1.0, -1.0, 1.0};
-    const double ASA[3] = {-1.0, 1.0, -1.0};
-    const double SAA[3] = {1.0, -1.0, -1.0};
-    const double ASS[3] = {-1.0, 1.0, 1.0};
-    const double SAS[3] = {1.0, -1.0, 1.0};
-    const double SSA[3] = {1.0, 1.0, -1.0};
-
-    const double ONE = 1.0;
-    const double TWO = 2.0;
-    const double ZEO = 0.0;
-    double chiDivfloor = 1.0e-5;
-
-    double kappa1 = 2.0e-2;
-    double kappa2 = 0.0;
-    double FF = 0.75;
-    double eta = 2.0;
-
-    for (int idx = 0; idx < all; ++idx)
-    {
-        alpn1[idx] = Lap[idx] + ONE;
-        chin1[idx] = chi_state[idx] + ONE;
-        gxx[idx] = dxx[idx] + ONE;
-        gyy[idx] = dyy[idx] + ONE;
-        gzz[idx] = dzz[idx] + ONE;
-    }
-
-    fderivs(ex, betax, betaxx, betaxy, betaxz, X, Y, Z, -1.0, 1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, betay, betayx, betayy, betayz, X, Y, Z, 1.0, -1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, betaz, betazx, betazy, betazz, X, Y, Z, 1.0, 1.0, -1.0, Symmetry, Lev);
-    fderivs(ex, dtSfx, dBxx, dBxy, dBxz, X, Y, Z, -1.0, 1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, dtSfy, dByx, dByy, dByz, X, Y, Z, 1.0, -1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, dtSfz, dBzx, dBzy, dBzz, X, Y, Z, 1.0, 1.0, -1.0, Symmetry, Lev);
-    fderivs(ex, chi_state, chix, chiy, chiz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, dxx, gxxx, gxxy, gxxz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, gxy, gxyx, gxyy, gxyz, X, Y, Z, -1.0, -1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, gxz, gxzx, gxzy, gxzz, X, Y, Z, -1.0, 1.0, -1.0, Symmetry, Lev);
-    fderivs(ex, dyy, gyyx, gyyy, gyyz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, gyz, gyzx, gyzy, gyzz, X, Y, Z, 1.0, -1.0, -1.0, Symmetry, Lev);
-    fderivs(ex, dzz, gzzx, gzzy, gzzz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-
-    fdderivs(ex, dxx, gxxxx, gxxxy, gxxxz, gxxyy, gxxyz, gxxzz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-    fdderivs(ex, dyy, gyyxx, gyyxy, gyyxz, gyyyy, gyyyz, gyyzz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-    fdderivs(ex, dzz, gzzxx, gzzxy, gzzxz, gzzyy, gzzyz, gzzzz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-    fdderivs(ex, gxy, gxyxx, gxyxy, gxyxz, gxyyy, gxyyz, gxyzz, X, Y, Z, -1.0, -1.0, 1.0, Symmetry, Lev);
-    fdderivs(ex, gxz, gxzxx, gxzxy, gxzxz, gxzyy, gxzyz, gxzzz, X, Y, Z, -1.0, 1.0, -1.0, Symmetry, Lev);
-    fdderivs(ex, gyz, gyzxx, gyzxy, gyzxz, gyzyy, gyzyz, gyzzz, X, Y, Z, 1.0, -1.0, -1.0, Symmetry, Lev);
-
-    fderivs(ex, Gamx, Gamxx, Gamxy, Gamxz, X, Y, Z, -1.0, 1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, Gamy, Gamyx, Gamyy, Gamyz, X, Y, Z, 1.0, -1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, Gamz, Gamzx, Gamzy, Gamzz, X, Y, Z, 1.0, 1.0, -1.0, Symmetry, Lev);
-
-    fderivs(ex, Lap, Lapx, Lapy, Lapz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, trK, Kx, Ky, Kz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, TZ, TZx, TZy, TZz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-
-    fdderivs(ex, betax, sfxxx, sfxxy, sfxxz, sfxyy, sfxyz, sfxzz, X, Y, Z, -1.0, 1.0, 1.0, Symmetry, Lev);
-    fdderivs(ex, betay, sfyxx, sfyxy, sfyxz, sfyyy, sfyyz, sfyzz, X, Y, Z, 1.0, -1.0, 1.0, Symmetry, Lev);
-    fdderivs(ex, betaz, sfzxx, sfzxy, sfzxz, sfzyy, sfzyz, sfzzz, X, Y, Z, 1.0, 1.0, -1.0, Symmetry, Lev);
-
-    fdderivs(ex, chi_state, chixx, chixy, chixz, chiyy, chiyz, chizz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-    fdderivs(ex, Lap, Lapxx, Lapxy, Lapxz, Lapyy, Lapyz, Lapzz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-
-    fderivs(ex, Axx, Axxx, Axxy, Axxz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, Axy, Axyx, Axyy, Axyz, X, Y, Z, -1.0, -1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, Axz, Axzx, Axzy, Axzz, X, Y, Z, -1.0, 1.0, -1.0, Symmetry, Lev);
-    fderivs(ex, Ayy, Ayyx, Ayyy, Ayyz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-    fderivs(ex, Ayz, Ayzx, Ayzy, Ayzz, X, Y, Z, 1.0, -1.0, -1.0, Symmetry, Lev);
-    fderivs(ex, Azz, Azzx, Azzy, Azzz, X, Y, Z, 1.0, 1.0, 1.0, Symmetry, Lev);
-
-    for (int idx = 0; idx < all; ++idx)
-    {
-        double point_kappa1 = 0.0;
-        f_z4c_rhs_point(
-            Axx[idx], Axy[idx], Axz[idx], Ayy[idx], Ayz[idx], Azz[idx],
-            alpn1[idx], dtSfx[idx], dtSfy[idx], dtSfz[idx],
-            betax[idx], betay[idx], betaz[idx],
-            chin1[idx], chiDivfloor,
-            Lapx[idx],
-            Axxx[idx], Axyx[idx], Axzx[idx], Ayyx[idx], Ayzx[idx], Azzx[idx],
-            Lapy[idx],
-            Axxy[idx], Axyy[idx], Axzy[idx], Ayyy[idx], Ayzy[idx], Azzy[idx],
-            Lapz[idx],
-            Axxz[idx], Axyz[idx], Axzz[idx], Ayyz[idx], Ayzz[idx], Azzz[idx],
-            betaxx[idx], dBxx[idx], betayx[idx], dByx[idx], betazx[idx], dBzx[idx],
-            betaxy[idx], dBxy[idx], betayy[idx], dByy[idx], betazy[idx], dBzy[idx],
-            betaxz[idx], dBxz[idx], betayz[idx], dByz[idx], betazz[idx], dBzz[idx],
-            chix[idx], chiy[idx], chiz[idx],
-            Lapxx[idx], Lapxy[idx], Lapxz[idx], Lapyy[idx], Lapyz[idx], Lapzz[idx],
-            sfxxx[idx], sfyxx[idx], sfzxx[idx],
-            sfxxy[idx], sfyxy[idx], sfzxy[idx],
-            sfxxz[idx], sfyxz[idx], sfzxz[idx],
-            sfxyy[idx], sfyyy[idx], sfzyy[idx],
-            sfxyz[idx], sfyyz[idx], sfzyz[idx],
-            sfxzz[idx], sfyzz[idx], sfzzz[idx],
-            chixx[idx], chixy[idx], chixz[idx], chiyy[idx], chiyz[idx], chizz[idx],
-            gxxxx[idx], gxyxx[idx], gxzxx[idx], gyyxx[idx], gyzxx[idx], gzzxx[idx],
-            gxxxy[idx], gxyxy[idx], gxzxy[idx], gyyxy[idx], gyzxy[idx], gzzxy[idx],
-            gxxxz[idx], gxyxz[idx], gxzxz[idx], gyyxz[idx], gyzxz[idx], gzzxz[idx],
-            gxxyy[idx], gxyyy[idx], gxzyy[idx], gyyyy[idx], gyzyy[idx], gzzyy[idx],
-            gxxyz[idx], gxyyz[idx], gxzyz[idx], gyyyz[idx], gyzyz[idx], gzzyz[idx],
-            gxxzz[idx], gxyzz[idx], gxzzz[idx], gyyzz[idx], gyzzz[idx], gzzzz[idx],
-            Gamxx[idx], gxxx[idx], gxyx[idx], gxzx[idx],
-            Gamyx[idx], gyyx[idx], gyzx[idx],
-            Gamzx[idx], gzzx[idx],
-            Gamxy[idx], gxxy[idx], gxyy[idx], gxzy[idx],
-            Gamyy[idx], gyyy[idx], gyzy[idx],
-            Gamzy[idx], gzzy[idx],
-            Gamxz[idx], gxxz[idx], gxyz[idx], gxzz[idx],
-            Gamyz[idx], gyyz[idx], gyzz[idx],
-            Gamzz[idx], gzzz[idx],
-            Kx[idx], Ky[idx], Kz[idx],
-            TZx[idx], TZy[idx], TZz[idx],
-            Gamx[idx], gxx[idx], gxy[idx], gxz[idx],
-            Gamy[idx], gyy[idx], gyz[idx],
-            Gamz[idx], gzz[idx],
-            point_kappa1, kappa2,
-            trK[idx],
-            Axx_rhs[idx], Axy_rhs[idx], Axz_rhs[idx], Ayy_rhs[idx], Ayz_rhs[idx], Azz_rhs[idx],
-            chi_rhs[idx],
-            Gamx_rhs[idx], gxx_rhs[idx], gxy_rhs[idx], gxz_rhs[idx],
-            Gamy_rhs[idx], gyy_rhs[idx], gyz_rhs[idx],
-            Gamz_rhs[idx], gzz_rhs[idx], trK_rhs[idx], TZ_rhs[idx], TZ[idx]);
-    }
-
-    for (int idx = 0; idx < all; ++idx)
-        Lap_rhs[idx] = -TWO * alpn1[idx] * trK[idx];
-
-#if (GAUGE == 0)
-    for (int idx = 0; idx < all; ++idx)
-    {
-        betax_rhs[idx] = FF * dtSfx[idx];
-        betay_rhs[idx] = FF * dtSfy[idx];
-        betaz_rhs[idx] = FF * dtSfz[idx];
-        dtSfx_rhs[idx] = Gamx_rhs[idx] - eta * dtSfx[idx];
-        dtSfy_rhs[idx] = Gamy_rhs[idx] - eta * dtSfy[idx];
-        dtSfz_rhs[idx] = Gamz_rhs[idx] - eta * dtSfz[idx];
-    }
-#elif (GAUGE == 1)
-    for (int idx = 0; idx < all; ++idx)
-    {
-        betax_rhs[idx] = Gamx[idx] - eta * betax[idx];
-        betay_rhs[idx] = Gamy[idx] - eta * betay[idx];
-        betaz_rhs[idx] = Gamz[idx] - eta * betaz[idx];
-        dtSfx_rhs[idx] = ZEO;
-        dtSfy_rhs[idx] = ZEO;
-        dtSfz_rhs[idx] = ZEO;
-    }
-#else
-#error "z4c_rhs_c.C currently supports GAUGE == 0 or GAUGE == 1 for Z4C"
-#endif
-
-    lopsided(ex, X, Y, Z, gxx, gxx_rhs, betax, betay, betaz, Symmetry, SSS);
-    lopsided(ex, X, Y, Z, gxy, gxy_rhs, betax, betay, betaz, Symmetry, AAS);
-    lopsided(ex, X, Y, Z, gxz, gxz_rhs, betax, betay, betaz, Symmetry, ASA);
-    lopsided(ex, X, Y, Z, gyy, gyy_rhs, betax, betay, betaz, Symmetry, SSS);
-    lopsided(ex, X, Y, Z, gyz, gyz_rhs, betax, betay, betaz, Symmetry, SAA);
-    lopsided(ex, X, Y, Z, gzz, gzz_rhs, betax, betay, betaz, Symmetry, SSS);
-
-    lopsided(ex, X, Y, Z, Axx, Axx_rhs, betax, betay, betaz, Symmetry, SSS);
-    lopsided(ex, X, Y, Z, Axy, Axy_rhs, betax, betay, betaz, Symmetry, AAS);
-    lopsided(ex, X, Y, Z, Axz, Axz_rhs, betax, betay, betaz, Symmetry, ASA);
-    lopsided(ex, X, Y, Z, Ayy, Ayy_rhs, betax, betay, betaz, Symmetry, SSS);
-    lopsided(ex, X, Y, Z, Ayz, Ayz_rhs, betax, betay, betaz, Symmetry, SAA);
-    lopsided(ex, X, Y, Z, Azz, Azz_rhs, betax, betay, betaz, Symmetry, SSS);
-
-    lopsided(ex, X, Y, Z, chi_state, chi_rhs, betax, betay, betaz, Symmetry, SSS);
-    lopsided(ex, X, Y, Z, trK, trK_rhs, betax, betay, betaz, Symmetry, SSS);
-
-    lopsided(ex, X, Y, Z, Gamx, Gamx_rhs, betax, betay, betaz, Symmetry, ASS);
-    lopsided(ex, X, Y, Z, Gamy, Gamy_rhs, betax, betay, betaz, Symmetry, SAS);
-    lopsided(ex, X, Y, Z, Gamz, Gamz_rhs, betax, betay, betaz, Symmetry, SSA);
-
-    lopsided(ex, X, Y, Z, Lap, Lap_rhs, betax, betay, betaz, Symmetry, SSS);
-    lopsided(ex, X, Y, Z, betax, betax_rhs, betax, betay, betaz, Symmetry, ASS);
-    lopsided(ex, X, Y, Z, betay, betay_rhs, betax, betay, betaz, Symmetry, SAS);
-    lopsided(ex, X, Y, Z, betaz, betaz_rhs, betax, betay, betaz, Symmetry, SSA);
-#if (GAUGE == 0)
-    lopsided(ex, X, Y, Z, dtSfx, dtSfx_rhs, betax, betay, betaz, Symmetry, ASS);
-    lopsided(ex, X, Y, Z, dtSfy, dtSfy_rhs, betax, betay, betaz, Symmetry, SAS);
-    lopsided(ex, X, Y, Z, dtSfz, dtSfz_rhs, betax, betay, betaz, Symmetry, SSA);
-#endif
-    lopsided(ex, X, Y, Z, TZ, TZ_rhs, betax, betay, betaz, Symmetry, SSS);
-
-    for (int idx = 0; idx < all; ++idx)
-    {
-        double Gamxa = 0.0, Gamya = 0.0, Gamza = 0.0;
-        z4c_contract_gamma(
-            gxx[idx], gxy[idx], gxz[idx], gyy[idx], gyz[idx], gzz[idx],
-            gxxx[idx], gxyx[idx], gxzx[idx], gyyx[idx], gyzx[idx], gzzx[idx],
-            gxxy[idx], gxyy[idx], gxzy[idx], gyyy[idx], gyzy[idx], gzzy[idx],
-            gxxz[idx], gxyz[idx], gxzz[idx], gyyz[idx], gyzz[idx], gzzz[idx],
-            Gamxa, Gamya, Gamza);
-
-        TZ_rhs[idx] -= alpn1[idx] * (TWO + kappa2) * kappa1 * TZ[idx];
-        trK_rhs[idx] += alpn1[idx] * kappa1 * (ONE - kappa2) * TZ[idx];
-        Gamx_rhs[idx] -= TWO * alpn1[idx] * kappa1 * (Gamx[idx] - Gamxa);
-        Gamy_rhs[idx] -= TWO * alpn1[idx] * kappa1 * (Gamy[idx] - Gamya);
-        Gamz_rhs[idx] -= TWO * alpn1[idx] * kappa1 * (Gamz[idx] - Gamza);
-    }
-
-    if (eps > 0.0)
-    {
-        kodis(ex, X, Y, Z, chi_state, chi_rhs, SSS, Symmetry, eps);
-        kodis(ex, X, Y, Z, trK, trK_rhs, SSS, Symmetry, eps);
-        kodis(ex, X, Y, Z, gxx, gxx_rhs, SSS, Symmetry, eps);
-        kodis(ex, X, Y, Z, gxy, gxy_rhs, AAS, Symmetry, eps);
-        kodis(ex, X, Y, Z, gxz, gxz_rhs, ASA, Symmetry, eps);
-        kodis(ex, X, Y, Z, gyy, gyy_rhs, SSS, Symmetry, eps);
-        kodis(ex, X, Y, Z, gyz, gyz_rhs, SAA, Symmetry, eps);
-        kodis(ex, X, Y, Z, gzz, gzz_rhs, SSS, Symmetry, eps);
-        kodis(ex, X, Y, Z, Axx, Axx_rhs, SSS, Symmetry, eps);
-        kodis(ex, X, Y, Z, Axy, Axy_rhs, AAS, Symmetry, eps);
-        kodis(ex, X, Y, Z, Axz, Axz_rhs, ASA, Symmetry, eps);
-        kodis(ex, X, Y, Z, Ayy, Ayy_rhs, SSS, Symmetry, eps);
-        kodis(ex, X, Y, Z, Ayz, Ayz_rhs, SAA, Symmetry, eps);
-        kodis(ex, X, Y, Z, Azz, Azz_rhs, SSS, Symmetry, eps);
-        kodis(ex, X, Y, Z, Gamx, Gamx_rhs, ASS, Symmetry, eps);
-        kodis(ex, X, Y, Z, Gamy, Gamy_rhs, SAS, Symmetry, eps);
-        kodis(ex, X, Y, Z, Gamz, Gamz_rhs, SSA, Symmetry, eps);
-        kodis(ex, X, Y, Z, Lap, Lap_rhs, SSS, Symmetry, eps);
-        kodis(ex, X, Y, Z, betax, betax_rhs, ASS, Symmetry, eps);
-        kodis(ex, X, Y, Z, betay, betay_rhs, SAS, Symmetry, eps);
-        kodis(ex, X, Y, Z, betaz, betaz_rhs, SSA, Symmetry, eps);
-#if (GAUGE == 0)
-        kodis(ex, X, Y, Z, dtSfx, dtSfx_rhs, ASS, Symmetry, eps);
-        kodis(ex, X, Y, Z, dtSfy, dtSfy_rhs, SAS, Symmetry, eps);
-        kodis(ex, X, Y, Z, dtSfz, dtSfz_rhs, SSA, Symmetry, eps);
-#endif
-        kodis(ex, X, Y, Z, TZ, TZ_rhs, SSS, Symmetry, eps);
-    }
-
-    if (co == 0)
-    {
-#if (ABV == 0)
-        f_ricci_gamma(ex, X, Y, Z,
-                      chi_constraints,
-                      dxx, gxy, gxz, dyy, gyz, dzz,
-                      Gamx, Gamy, Gamz,
-                      Gamxxx, Gamxxy, Gamxxz, Gamxyy, Gamxyz, Gamxzz,
-                      Gamyxx, Gamyxy, Gamyxz, Gamyyy, Gamyyz, Gamyzz,
-                      Gamzxx, Gamzxy, Gamzxz, Gamzyy, Gamzyz, Gamzzz,
-                      Rxx, Rxy, Rxz, Ryy, Ryz, Rzz,
-                      Symmetry);
-#endif
-        f_constraint_bssn(ex, X, Y, Z,
-                          chi_constraints, trK,
-                          dxx, gxy, gxz, dyy, gyz, dzz,
-                          Axx, Axy, Axz, Ayy, Ayz, Azz,
-                          Gamx, Gamy, Gamz,
-                          Lap, betax, betay, betaz, rho, Sx, Sy, Sz,
-                          Gamxxx, Gamxxy, Gamxxz, Gamxyy, Gamxyz, Gamxzz,
-                          Gamyxx, Gamyxy, Gamyxz, Gamyyy, Gamyyz, Gamyzz,
-                          Gamzxx, Gamzxy, Gamzxz, Gamzyy, Gamzyz, Gamzzz,
-                          Rxx, Rxy, Rxz, Ryy, Ryz, Rzz,
-                          Hcon, Mxcon, Mycon, Mzcon, Gmxcon, Gmycon, Gmzcon,
-                          Symmetry);
-    }
-
-    return 0;
-}
-
-extern "C" int f_compute_rhs_Z4c(int *ex, double &T,
-                                 double *X, double *Y, double *Z,
-                                 double *chi, double *trK,
-                                 double *dxx, double *gxy, double *gxz, double *dyy, double *gyz, double *dzz,
-                                 double *Axx, double *Axy, double *Axz, double *Ayy, double *Ayz, double *Azz,
-                                 double *Gamx, double *Gamy, double *Gamz,
-                                 double *Lap, double *betax, double *betay, double *betaz,
-                                 double *dtSfx, double *dtSfy, double *dtSfz,
-                                 double *TZ,
-                                 double *chi_rhs, double *trK_rhs,
-                                 double *gxx_rhs, double *gxy_rhs, double *gxz_rhs, double *gyy_rhs, double *gyz_rhs, double *gzz_rhs,
-                                 double *Axx_rhs, double *Axy_rhs, double *Axz_rhs, double *Ayy_rhs, double *Ayz_rhs, double *Azz_rhs,
-                                 double *Gamx_rhs, double *Gamy_rhs, double *Gamz_rhs,
-                                 double *Lap_rhs, double *betax_rhs, double *betay_rhs, double *betaz_rhs,
-                                 double *dtSfx_rhs, double *dtSfy_rhs, double *dtSfz_rhs,
-                                 double *TZ_rhs,
-                                 double *rho, double *Sx, double *Sy, double *Sz,
-                                 double *Sxx, double *Sxy, double *Sxz, double *Syy, double *Syz, double *Szz,
-                                 double *Gamxxx, double *Gamxxy, double *Gamxxz, double *Gamxyy, double *Gamxyz, double *Gamxzz,
-                                 double *Gamyxx, double *Gamyxy, double *Gamyxz, double *Gamyyy, double *Gamyyz, double *Gamyzz,
-                                 double *Gamzxx, double *Gamzxy, double *Gamzxz, double *Gamzyy, double *Gamzyz, double *Gamzzz,
-                                 double *Rxx, double *Rxy, double *Rxz, double *Ryy, double *Ryz, double *Rzz,
-                                 double *Hcon, double *Mxcon, double *Mycon, double *Mzcon, double *Gmxcon, double *Gmycon, double *Gmzcon,
-                                 int &Symmetry, int &Lev, double &eps, int &co)
-{
-    return compute_rhs_z4c_cartesian(
-        ex, T, X, Y, Z,
-        chi, chi, trK,
-        dxx, gxy, gxz, dyy, gyz, dzz,
-        Axx, Axy, Axz, Ayy, Ayz, Azz,
-        Gamx, Gamy, Gamz,
-        Lap, betax, betay, betaz,
-        dtSfx, dtSfy, dtSfz,
-        TZ,
-        chi_rhs, trK_rhs,
-        gxx_rhs, gxy_rhs, gxz_rhs, gyy_rhs, gyz_rhs, gzz_rhs,
-        Axx_rhs, Axy_rhs, Axz_rhs, Ayy_rhs, Ayz_rhs, Azz_rhs,
-        Gamx_rhs, Gamy_rhs, Gamz_rhs,
-        Lap_rhs, betax_rhs, betay_rhs, betaz_rhs,
-        dtSfx_rhs, dtSfy_rhs, dtSfz_rhs,
-        TZ_rhs,
-        rho, Sx, Sy, Sz,
-        Sxx, Sxy, Sxz, Syy, Syz, Szz,
-        Gamxxx, Gamxxy, Gamxxz, Gamxyy, Gamxyz, Gamxzz,
-        Gamyxx, Gamyxy, Gamyxz, Gamyyy, Gamyyz, Gamyzz,
-        Gamzxx, Gamzxy, Gamzxz, Gamzyy, Gamzyz, Gamzzz,
-        Rxx, Rxy, Rxz, Ryy, Ryz, Rzz,
-        Hcon, Mxcon, Mycon, Mzcon, Gmxcon, Gmycon, Gmzcon,
-        Symmetry, Lev, eps, co);
-}
-
-extern "C" int f_compute_rhs_Z4cnot(int *ex, double &T,
-                                    double *X, double *Y, double *Z,
-                                    double *chi, double *trK,
-                                    double *dxx, double *gxy, double *gxz, double *dyy, double *gyz, double *dzz,
-                                    double *Axx, double *Axy, double *Axz, double *Ayy, double *Ayz, double *Azz,
-                                    double *Gamx, double *Gamy, double *Gamz,
-                                    double *Lap, double *betax, double *betay, double *betaz,
-                                    double *dtSfx, double *dtSfy, double *dtSfz,
-                                    double *TZ,
-                                    double *chi_rhs, double *trK_rhs,
-                                    double *gxx_rhs, double *gxy_rhs, double *gxz_rhs, double *gyy_rhs, double *gyz_rhs, double *gzz_rhs,
-                                    double *Axx_rhs, double *Axy_rhs, double *Axz_rhs, double *Ayy_rhs, double *Ayz_rhs, double *Azz_rhs,
-                                    double *Gamx_rhs, double *Gamy_rhs, double *Gamz_rhs,
-                                    double *Lap_rhs, double *betax_rhs, double *betay_rhs, double *betaz_rhs,
-                                    double *dtSfx_rhs, double *dtSfy_rhs, double *dtSfz_rhs,
-                                    double *TZ_rhs,
-                                    double *rho, double *Sx, double *Sy, double *Sz,
-                                    double *Sxx, double *Sxy, double *Sxz, double *Syy, double *Syz, double *Szz,
-                                    double *Gamxxx, double *Gamxxy, double *Gamxxz, double *Gamxyy, double *Gamxyz, double *Gamxzz,
-                                    double *Gamyxx, double *Gamyxy, double *Gamyxz, double *Gamyyy, double *Gamyyz, double *Gamyzz,
-                                    double *Gamzxx, double *Gamzxy, double *Gamzxz, double *Gamzyy, double *Gamzyz, double *Gamzzz,
-                                    double *Rxx, double *Rxy, double *Rxz, double *Ryy, double *Ryz, double *Rzz,
-                                    double *Hcon, double *Mxcon, double *Mycon, double *Mzcon, double *Gmxcon, double *Gmycon, double *Gmzcon,
-                                    int &Symmetry, int &Lev, double &eps, int &co, double &chitiny)
-{
-    const int all = ex[0] * ex[1] * ex[2];
-    std::vector<double> chi_clamped(chi, chi + all);
-    f_lowerboundset(ex, chi_clamped.data(), chitiny);
-
-    const int ret = compute_rhs_z4c_cartesian(
-        ex, T, X, Y, Z,
-        chi_clamped.data(), chi, trK,
-        dxx, gxy, gxz, dyy, gyz, dzz,
-        Axx, Axy, Axz, Ayy, Ayz, Azz,
-        Gamx, Gamy, Gamz,
-        Lap, betax, betay, betaz,
-        dtSfx, dtSfy, dtSfz,
-        TZ,
-        chi_rhs, trK_rhs,
-        gxx_rhs, gxy_rhs, gxz_rhs, gyy_rhs, gyz_rhs, gzz_rhs,
-        Axx_rhs, Axy_rhs, Axz_rhs, Ayy_rhs, Ayz_rhs, Azz_rhs,
-        Gamx_rhs, Gamy_rhs, Gamz_rhs,
-        Lap_rhs, betax_rhs, betay_rhs, betaz_rhs,
-        dtSfx_rhs, dtSfy_rhs, dtSfz_rhs,
-        TZ_rhs,
-        rho, Sx, Sy, Sz,
-        Sxx, Sxy, Sxz, Syy, Syz, Szz,
-        Gamxxx, Gamxxy, Gamxxz, Gamxyy, Gamxyz, Gamxzz,
-        Gamyxx, Gamyxy, Gamyxz, Gamyyy, Gamyyz, Gamyzz,
-        Gamzxx, Gamzxy, Gamzxz, Gamzyy, Gamzyz, Gamzzz,
-        Rxx, Rxy, Rxz, Ryy, Ryz, Rzz,
-        Hcon, Mxcon, Mycon, Mzcon, Gmxcon, Gmycon, Gmzcon,
-        Symmetry, Lev, eps, co);
-
-    if (ret != 0 || co != 0)
-        return ret;
-
-#if (ABV == 0)
-    f_ricci_gamma(ex, X, Y, Z,
-                  chi,
-                  dxx, gxy, gxz, dyy, gyz, dzz,
-                  Gamx, Gamy, Gamz,
-                  Gamxxx, Gamxxy, Gamxxz, Gamxyy, Gamxyz, Gamxzz,
-                  Gamyxx, Gamyxy, Gamyxz, Gamyyy, Gamyyz, Gamyzz,
-                  Gamzxx, Gamzxy, Gamzxz, Gamzyy, Gamzyz, Gamzzz,
-                  Rxx, Rxy, Rxz, Ryy, Ryz, Rzz,
-                  Symmetry);
-#endif
-    f_constraint_bssn(ex, X, Y, Z,
-                      chi, trK,
-                      dxx, gxy, gxz, dyy, gyz, dzz,
-                      Axx, Axy, Axz, Ayy, Ayz, Azz,
-                      Gamx, Gamy, Gamz,
-                      Lap, betax, betay, betaz, rho, Sx, Sy, Sz,
-                      Gamxxx, Gamxxy, Gamxxz, Gamxyy, Gamxyz, Gamxzz,
-                      Gamyxx, Gamyxy, Gamyxz, Gamyyy, Gamyyz, Gamyzz,
-                      Gamzxx, Gamzxy, Gamzxz, Gamzyy, Gamzyz, Gamzzz,
-                      Rxx, Rxy, Rxz, Ryy, Ryz, Rzz,
-                      Hcon, Mxcon, Mycon, Mzcon, Gmxcon, Gmycon, Gmzcon,
-                      Symmetry);
-    return ret;
-}

AMSS_NCKU_source/z4c_rhs_cuda.h

@@ -1,83 +0,0 @@
-#ifndef Z4C_RHS_CUDA_H
-#define Z4C_RHS_CUDA_H
-
-#ifdef __cplusplus
-extern "C" {
-#endif
-
-enum {
-    Z4C_CUDA_STATE_COUNT = 25
-};
-
-int z4c_cuda_rk4_substep(void *block_tag,
-                         int *ex, double *X, double *Y, double *Z,
-                         double **state_host_in,
-                         double **state_host_out,
-                         const double *propspeed,
-                         const double *soa_flat,
-                         const double *bbox,
-                         double &dT,
-                         double &T,
-                         int &RK4,
-                         int &apply_bam_bc,
-                         int &Symmetry,
-                         int &Lev,
-                         double &eps,
-                         int &co,
-                         int &keep_resident_state,
-                         int &apply_enforce_ga,
-                         double &chitiny);
-
-int z4c_cuda_download_resident_state(void *block_tag,
-                                     int *ex,
-                                     double **state_host_out);
-
-int z4c_cuda_pack_state_region_to_host_buffer(void *block_tag,
-                                              int state_index,
-                                              double *host_buffer,
-                                              int *ex,
-                                              int i0, int j0, int k0,
-                                              int sx, int sy, int sz);
-
-int z4c_cuda_unpack_state_region_from_host_buffer(void *block_tag,
-                                                  int state_index,
-                                                  double *host_buffer,
-                                                  int *ex,
-                                                  int i0, int j0, int k0,
-                                                  int sx, int sy, int sz);
-
-int z4c_cuda_pack_state_batch_to_host_buffer(void *block_tag,
-                                             int state_count,
-                                             double *host_buffer,
-                                             int *ex,
-                                             int i0, int j0, int k0,
-                                             int sx, int sy, int sz);
-
-int z4c_cuda_unpack_state_batch_from_host_buffer(void *block_tag,
-                                                 int state_count,
-                                                 double *host_buffer,
-                                                 int *ex,
-                                                 int i0, int j0, int k0,
-                                                 int sx, int sy, int sz);
-
-int z4c_cuda_download_state_subset(void *block_tag,
-                                   int *ex,
-                                   int subset_count,
-                                   const int *state_indices,
-                                   double **state_host_out);
-
-int z4c_cuda_upload_state_subset(void *block_tag,
-                                 int *ex,
-                                 int subset_count,
-                                 const int *state_indices,
-                                 double **state_host_in);
-
-int z4c_cuda_has_resident_state(void *block_tag);
-
-void z4c_cuda_release_step_ctx(void *block_tag);
-
-#ifdef __cplusplus
-}
-#endif
-
-#endif

README.md

@@ -93,11 +93,13 @@ Here, we take the Ubuntu 22.04 system as an example
 
 #### How to use AMSS-NCKU
 
-0.  Setting the parameters for compilation
-
-    Modify the makefile.inc file in the AMSS_NCKU_source directory and change the settings according to your computer.
-
-    The settings for the Ubuntu 22.04 system do not need to be modified.
+0.  Setting the parameters for compilation
+
+    Modify the makefile.inc file in the AMSS_NCKU_source directory and change the settings according to your computer.
+
+    The default configuration in this branch uses GNU compilers through the OpenMPI wrappers under `/usr/lib64/openmpi/bin`.
+
+    If your OpenMPI installation is in another location, update `OMPI_BIN` in `AMSS_NCKU_source/makefile.inc` or export `AMSS_OPENMPI_BIN` before running the Python launcher.
 
 1.  Enter the AMSS-NCKU Python code folder and modify the input.
 

generate_macrodef.py

@@ -204,7 +204,7 @@ def generate_macrodef_h():
     # use GPU or not
     
     if ( input_data.GPU_Calculation == "yes"):
-        print( "//#define USE_GPU",   file=file1 )
+        print( "#define USE_GPU",   file=file1 )
         print(                      file=file1 )
     elif ( input_data.GPU_Calculation == "no"):
         print( "//#define USE_GPU", file=file1 )

makefile_and_run.py

@@ -9,6 +9,7 @@
 
 
 import AMSS_NCKU_Input as input_data
+import os
 import subprocess
 import time
 
@@ -52,6 +53,8 @@ NUMACTL_CPU_BIND = get_last_n_cores_per_socket(n=32)
 
 ## Build parallelism: match the number of bound cores
 BUILD_JOBS = 64
+OPENMPI_BIN = os.environ.get("AMSS_OPENMPI_BIN", "/usr/lib64/openmpi/bin")
+MPI_RUNNER = os.path.join(OPENMPI_BIN, "mpirun")
 
 
 ##################################################################
@@ -70,9 +73,9 @@ def makefile_ABE():
 
     ## Build command with CPU binding to nohz_full cores
     if (input_data.GPU_Calculation == "no"):
-        makefile_command  = f"{NUMACTL_CPU_BIND} make -j{BUILD_JOBS} INTERP_LB_MODE=off USE_CUDA_BSSN=0 USE_CUDA_Z4C=0 ABE"
+        makefile_command  = f"{NUMACTL_CPU_BIND} make -j{BUILD_JOBS} INTERP_LB_MODE=off ABE"
     elif (input_data.GPU_Calculation == "yes"):
-        makefile_command  = f"{NUMACTL_CPU_BIND} make -j{BUILD_JOBS} INTERP_LB_MODE=off USE_CUDA_BSSN=1 USE_CUDA_Z4C=1 ABE_CUDA"
+        makefile_command  = f"{NUMACTL_CPU_BIND} make -j{BUILD_JOBS} ABEGPU"
     else:
         print( " CPU/GPU numerical calculation setting is wrong " )
         print(                                                    )
@@ -147,11 +150,11 @@ def run_ABE():
     ## Define the command to run; cast other values to strings as needed
     
     if (input_data.GPU_Calculation == "no"):
-        mpi_command         = NUMACTL_CPU_BIND + " mpirun -np " + str(input_data.MPI_processes) + " ./ABE"
+        mpi_command         = NUMACTL_CPU_BIND + " " + MPI_RUNNER + " -np " + str(input_data.MPI_processes) + " ./ABE"
         #mpi_command         = " mpirun -np " + str(input_data.MPI_processes) + " ./ABE"
         mpi_command_outfile = "ABE_out.log"
     elif (input_data.GPU_Calculation == "yes"):
-        mpi_command         = NUMACTL_CPU_BIND + " mpirun -np " + str(input_data.MPI_processes) + " ./ABE_CUDA"
+        mpi_command         = NUMACTL_CPU_BIND + " " + MPI_RUNNER + " -np " + str(input_data.MPI_processes) + " ./ABEGPU"
         mpi_command_outfile = "ABEGPU_out.log"
  
     ## Execute the MPI command and stream output