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3 Commits

Author SHA1 Message Date
CGH0S7
3914659ebb Optimize BSSN RHS and finite difference calculations
- Integrate Intel oneMKL VML for efficient Gauge calculation in bssn_rhs.f90
- Refactor fderivs in diff_new.f90 to separate bulk/boundary loops for better vectorization
- Add optimization report in docs/optimization_report.md
2026-01-19 10:49:14 +08:00
CGH0S7
039dce4d65 Add aggressive compiler optimizations and vectorization directives
Changes:
1. Enhanced compiler flags in makefile.inc:
   - Added -march=native -mtune=native for CPU-specific optimizations
   - Added -funroll-loops for loop unrolling
   - Added -qopt-prefetch for aggressive prefetching
   - Added -qopt-report=5 for optimization analysis

2. Added Intel vectorization directives to diff_new.f90:
   - Added !DIR$ SIMD and !DIR$ IVDEP to critical loops
   - Targets fderivs and related finite difference functions
   - Forces compiler to vectorize inner loops

Expected improvement: 15-30% speedup in computation loops
Mathematical equivalence: Preserved (compiler optimizations only)
Precision: IEEE 754 maintained
2026-01-19 10:17:31 +08:00
CGH0S7
c524228d23 Enable multi-threaded MKL for better resource utilization
- Changed from libmkl_sequential to libmkl_intel_thread
- Added automatic MKL thread count configuration (104 cores / MPI_processes)
- Updated runtime scripts to set MKL_NUM_THREADS environment variable
- Added comprehensive optimization documentation

Expected improvement: 5-15% from better MKL utilization
Note: Main performance bottleneck is in computation loops, not MKL functions
2026-01-19 09:31:29 +08:00
15 changed files with 6733 additions and 1968 deletions

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@@ -1,447 +0,0 @@
##################################################################
##
## AMSS-NCKU ABE Test Program (Skip TwoPuncture if data exists)
## Modified from AMSS_NCKU_Program.py
## Author: Xiaoqu
## Modified: 2026/02/01
##
##################################################################
##################################################################
## Print program introduction
import print_information
print_information.print_program_introduction()
##################################################################
import AMSS_NCKU_Input as input_data
##################################################################
## Create directories to store program run data
import os
import shutil
import sys
import time
## Set the output directory according to the input file
File_directory = os.path.join(input_data.File_directory)
## Check if output directory exists and if TwoPuncture data is available
#skip_twopuncture = False
skip_twopuncture = True
output_directory = os.path.join(File_directory, "AMSS_NCKU_output")
binary_results_directory = os.path.join(output_directory, input_data.Output_directory)
if os.path.exists(File_directory):
print( " Output directory already exists." )
print()
'''
# Check if TwoPuncture initial data files exist
if (input_data.Initial_Data_Method == "Ansorg-TwoPuncture"):
twopuncture_output = os.path.join(output_directory, "TwoPunctureABE")
input_par = os.path.join(output_directory, "input.par")
if os.path.exists(twopuncture_output) and os.path.exists(input_par):
print( " Found existing TwoPuncture initial data." )
print( " Do you want to skip TwoPuncture phase and reuse existing data?" )
print( " Input 'skip' to skip TwoPuncture and start ABE directly" )
print( " Input 'regenerate' to regenerate everything from scratch" )
print()
while True:
try:
inputvalue = input()
if ( inputvalue == "skip" ):
print( " Skipping TwoPuncture phase, will reuse existing initial data." )
print()
skip_twopuncture = True
break
elif ( inputvalue == "regenerate" ):
print( " Regenerating everything from scratch." )
print()
skip_twopuncture = False
break
else:
print( " Please input 'skip' or 'regenerate'." )
except ValueError:
print( " Please input 'skip' or 'regenerate'." )
else:
print( " TwoPuncture initial data not found, will regenerate everything." )
print()
'''
# If not skipping, remove and recreate directory
if not skip_twopuncture:
shutil.rmtree(File_directory, ignore_errors=True)
os.mkdir(File_directory)
os.mkdir(output_directory)
os.mkdir(binary_results_directory)
figure_directory = os.path.join(File_directory, "figure")
os.mkdir(figure_directory)
shutil.copy("AMSS_NCKU_Input.py", File_directory)
print( " Output directory has been regenerated." )
print()
else:
# Create fresh directory structure
os.mkdir(File_directory)
shutil.copy("AMSS_NCKU_Input.py", File_directory)
os.mkdir(output_directory)
os.mkdir(binary_results_directory)
figure_directory = os.path.join(File_directory, "figure")
os.mkdir(figure_directory)
print( " Output directory has been generated." )
print()
# Ensure figure directory exists
figure_directory = os.path.join(File_directory, "figure")
if not os.path.exists(figure_directory):
os.mkdir(figure_directory)
##################################################################
## Output related parameter information
import setup
## Print and save input parameter information
setup.print_input_data( File_directory )
if not skip_twopuncture:
setup.generate_AMSSNCKU_input()
setup.print_puncture_information()
##################################################################
## Generate AMSS-NCKU program input files based on the configured parameters
if not skip_twopuncture:
print()
print( " Generating the AMSS-NCKU input parfile for the ABE executable." )
print()
## Generate cgh-related input files from the grid information
import numerical_grid
numerical_grid.append_AMSSNCKU_cgh_input()
print()
print( " The input parfile for AMSS-NCKU C++ executable file ABE has been generated." )
print( " However, the input relevant to TwoPuncture need to be appended later." )
print()
##################################################################
## Plot the initial grid configuration
if not skip_twopuncture:
print()
print( " Schematically plot the numerical grid structure." )
print()
import numerical_grid
numerical_grid.plot_initial_grid()
##################################################################
## Generate AMSS-NCKU macro files according to the numerical scheme and parameters
if not skip_twopuncture:
print()
print( " Automatically generating the macro file for AMSS-NCKU C++ executable file ABE " )
print( " (Based on the finite-difference numerical scheme) " )
print()
import generate_macrodef
generate_macrodef.generate_macrodef_h()
print( " AMSS-NCKU macro file macrodef.h has been generated. " )
generate_macrodef.generate_macrodef_fh()
print( " AMSS-NCKU macro file macrodef.fh has been generated. " )
##################################################################
# Compile the AMSS-NCKU program according to user requirements
# NOTE: ABE compilation is always performed, even when skipping TwoPuncture
print()
print( " Preparing to compile and run the AMSS-NCKU code as requested " )
print( " Compiling the AMSS-NCKU code based on the generated macro files " )
print()
AMSS_NCKU_source_path = "AMSS_NCKU_source"
AMSS_NCKU_source_copy = os.path.join(File_directory, "AMSS_NCKU_source_copy")
## If AMSS_NCKU source folder is missing, create it and prompt the user
if not os.path.exists(AMSS_NCKU_source_path):
os.makedirs(AMSS_NCKU_source_path)
print( " The AMSS-NCKU source files are incomplete; copy all source files into ./AMSS_NCKU_source. " )
print( " Press Enter to continue. " )
inputvalue = input()
# Copy AMSS-NCKU source files to prepare for compilation
# If skipping TwoPuncture and source_copy already exists, remove it first
if skip_twopuncture and os.path.exists(AMSS_NCKU_source_copy):
shutil.rmtree(AMSS_NCKU_source_copy)
shutil.copytree(AMSS_NCKU_source_path, AMSS_NCKU_source_copy)
# Copy the generated macro files into the AMSS_NCKU source folder
if not skip_twopuncture:
macrodef_h_path = os.path.join(File_directory, "macrodef.h")
macrodef_fh_path = os.path.join(File_directory, "macrodef.fh")
else:
# When skipping TwoPuncture, use existing macro files from previous run
macrodef_h_path = os.path.join(File_directory, "macrodef.h")
macrodef_fh_path = os.path.join(File_directory, "macrodef.fh")
shutil.copy2(macrodef_h_path, AMSS_NCKU_source_copy)
shutil.copy2(macrodef_fh_path, AMSS_NCKU_source_copy)
# Compile related programs
import makefile_and_run
## Change working directory to the target source copy
os.chdir(AMSS_NCKU_source_copy)
## Build the main AMSS-NCKU executable (ABE or ABEGPU)
makefile_and_run.makefile_ABE()
## If the initial-data method is Ansorg-TwoPuncture, build the TwoPunctureABE executable
## Only build TwoPunctureABE if not skipping TwoPuncture phase
if (input_data.Initial_Data_Method == "Ansorg-TwoPuncture" ) and not skip_twopuncture:
makefile_and_run.makefile_TwoPunctureABE()
## Change current working directory back up two levels
os.chdir('..')
os.chdir('..')
print()
##################################################################
## Copy the AMSS-NCKU executable (ABE/ABEGPU) to the run directory
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, "ABEGPU")
if not os.path.exists( ABE_file ):
print()
print( " Lack of AMSS-NCKU executable file ABE/ABEGPU; recompile AMSS_NCKU_source manually. " )
print( " When recompilation is finished, press Enter to continue. " )
inputvalue = input()
## Copy the executable ABE (or ABEGPU) into the run directory
shutil.copy2(ABE_file, output_directory)
## If the initial-data method is TwoPuncture, copy the TwoPunctureABE executable to the run directory
## Only copy TwoPunctureABE if not skipping TwoPuncture phase
if (input_data.Initial_Data_Method == "Ansorg-TwoPuncture" ) and not skip_twopuncture:
TwoPuncture_file = os.path.join(AMSS_NCKU_source_copy, "TwoPunctureABE")
if not os.path.exists( TwoPuncture_file ):
print()
print( " Lack of AMSS-NCKU executable file TwoPunctureABE; recompile TwoPunctureABE in AMSS_NCKU_source. " )
print( " When recompilation is finished, press Enter to continue. " )
inputvalue = input()
## Copy the TwoPunctureABE executable into the run directory
shutil.copy2(TwoPuncture_file, output_directory)
##################################################################
## If the initial-data method is TwoPuncture, generate the TwoPuncture input files
if (input_data.Initial_Data_Method == "Ansorg-TwoPuncture" ) and not skip_twopuncture:
print()
print( " Initial data is chosen as Ansorg-TwoPuncture" )
print()
print()
print( " Automatically generating the input parfile for the TwoPunctureABE executable " )
print()
import generate_TwoPuncture_input
generate_TwoPuncture_input.generate_AMSSNCKU_TwoPuncture_input()
print()
print( " The input parfile for the TwoPunctureABE executable has been generated. " )
print()
## Generated AMSS-NCKU TwoPuncture input filename
AMSS_NCKU_TwoPuncture_inputfile = 'AMSS-NCKU-TwoPuncture.input'
AMSS_NCKU_TwoPuncture_inputfile_path = os.path.join( File_directory, AMSS_NCKU_TwoPuncture_inputfile )
## Copy and rename the file
shutil.copy2( AMSS_NCKU_TwoPuncture_inputfile_path, os.path.join(output_directory, 'TwoPunctureinput.par') )
## Run TwoPuncture to generate initial-data files
start_time = time.time() # Record start time
print()
print()
## Change to the output (run) directory
os.chdir(output_directory)
## Run the TwoPuncture executable
import makefile_and_run
makefile_and_run.run_TwoPunctureABE()
## Change current working directory back up two levels
os.chdir('..')
os.chdir('..')
elif (input_data.Initial_Data_Method == "Ansorg-TwoPuncture" ) and skip_twopuncture:
print()
print( " Skipping TwoPuncture execution, using existing initial data." )
print()
start_time = time.time() # Record start time for ABE only
else:
start_time = time.time() # Record start time
##################################################################
## Update puncture data based on TwoPuncture run results
if not skip_twopuncture:
import renew_puncture_parameter
renew_puncture_parameter.append_AMSSNCKU_BSSN_input(File_directory, output_directory)
## Generated AMSS-NCKU input filename
AMSS_NCKU_inputfile = 'AMSS-NCKU.input'
AMSS_NCKU_inputfile_path = os.path.join(File_directory, AMSS_NCKU_inputfile)
## Copy and rename the file
shutil.copy2( AMSS_NCKU_inputfile_path, os.path.join(output_directory, 'input.par') )
print()
print( " Successfully copy all AMSS-NCKU input parfile to target dictionary. " )
print()
else:
print()
print( " Using existing input.par file from previous run." )
print()
##################################################################
## Launch the AMSS-NCKU program
print()
print()
## Change to the run directory
os.chdir( output_directory )
import makefile_and_run
makefile_and_run.run_ABE()
## Change current working directory back up two levels
os.chdir('..')
os.chdir('..')
end_time = time.time()
elapsed_time = end_time - start_time
##################################################################
## Copy some basic input and log files out to facilitate debugging
## Path to the file that stores calculation settings
AMSS_NCKU_error_file_path = os.path.join(binary_results_directory, "setting.par")
## Copy and rename the file for easier inspection
shutil.copy( AMSS_NCKU_error_file_path, os.path.join(output_directory, "AMSSNCKU_setting_parameter") )
## Path to the error log file
AMSS_NCKU_error_file_path = os.path.join(binary_results_directory, "Error.log")
## Copy and rename the error log
shutil.copy( AMSS_NCKU_error_file_path, os.path.join(output_directory, "Error.log") )
## Primary program outputs
AMSS_NCKU_BH_data = os.path.join(binary_results_directory, "bssn_BH.dat" )
AMSS_NCKU_ADM_data = os.path.join(binary_results_directory, "bssn_ADMQs.dat" )
AMSS_NCKU_psi4_data = os.path.join(binary_results_directory, "bssn_psi4.dat" )
AMSS_NCKU_constraint_data = os.path.join(binary_results_directory, "bssn_constraint.dat")
## copy and rename the file
shutil.copy( AMSS_NCKU_BH_data, os.path.join(output_directory, "bssn_BH.dat" ) )
shutil.copy( AMSS_NCKU_ADM_data, os.path.join(output_directory, "bssn_ADMQs.dat" ) )
shutil.copy( AMSS_NCKU_psi4_data, os.path.join(output_directory, "bssn_psi4.dat" ) )
shutil.copy( AMSS_NCKU_constraint_data, os.path.join(output_directory, "bssn_constraint.dat") )
## Additional program outputs
if (input_data.Equation_Class == "BSSN-EM"):
AMSS_NCKU_phi1_data = os.path.join(binary_results_directory, "bssn_phi1.dat" )
AMSS_NCKU_phi2_data = os.path.join(binary_results_directory, "bssn_phi2.dat" )
shutil.copy( AMSS_NCKU_phi1_data, os.path.join(output_directory, "bssn_phi1.dat" ) )
shutil.copy( AMSS_NCKU_phi2_data, os.path.join(output_directory, "bssn_phi2.dat" ) )
elif (input_data.Equation_Class == "BSSN-EScalar"):
AMSS_NCKU_maxs_data = os.path.join(binary_results_directory, "bssn_maxs.dat" )
shutil.copy( AMSS_NCKU_maxs_data, os.path.join(output_directory, "bssn_maxs.dat" ) )
##################################################################
## Plot the AMSS-NCKU program results
print()
print( " Plotting the txt and binary results data from the AMSS-NCKU simulation " )
print()
import plot_xiaoqu
import plot_GW_strain_amplitude_xiaoqu
## Plot black hole trajectory
plot_xiaoqu.generate_puncture_orbit_plot( binary_results_directory, figure_directory )
plot_xiaoqu.generate_puncture_orbit_plot3D( binary_results_directory, figure_directory )
## Plot black hole separation vs. time
plot_xiaoqu.generate_puncture_distence_plot( binary_results_directory, figure_directory )
## Plot gravitational waveforms (psi4 and strain amplitude)
for i in range(input_data.Detector_Number):
plot_xiaoqu.generate_gravitational_wave_psi4_plot( binary_results_directory, figure_directory, i )
plot_GW_strain_amplitude_xiaoqu.generate_gravitational_wave_amplitude_plot( binary_results_directory, figure_directory, i )
## Plot ADM mass evolution
for i in range(input_data.Detector_Number):
plot_xiaoqu.generate_ADMmass_plot( binary_results_directory, figure_directory, i )
## Plot Hamiltonian constraint violation over time
for i in range(input_data.grid_level):
plot_xiaoqu.generate_constraint_check_plot( binary_results_directory, figure_directory, i )
## Plot stored binary data
plot_xiaoqu.generate_binary_data_plot( binary_results_directory, figure_directory )
print()
print( f" This Program Cost = {elapsed_time} Seconds " )
print()
##################################################################
print()
print( " The AMSS-NCKU-Python simulation is successfully finished, thanks for using !!! " )
print()
##################################################################

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@@ -16,7 +16,7 @@ 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 = 64 ## number of mpi processes used in the simulation
MPI_processes = 48 ## number of mpi processes used in the simulation
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)

710
AMSS_NCKU_source/ABE.optrpt Normal file
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@@ -0,0 +1,710 @@
Begin optimization report for: __cxx_global_var_init
=================================================================
Begin optimization report for: std::map<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, int, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::map()
=================================================================
Begin optimization report for: std::map<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, int, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::~map()
=================================================================
Begin optimization report for: __cxx_global_var_init.1
=================================================================
Begin optimization report for: std::map<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, double, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::map()
=================================================================
Begin optimization report for: std::map<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, double, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::~map()
=================================================================
Begin optimization report for: __cxx_global_var_init.2
=================================================================
Begin optimization report for: std::map<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::map()
=================================================================
Begin optimization report for: std::map<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::~map()
=================================================================
Begin optimization report for: main
LOOP BEGIN at /usr/lib/gcc/x86_64-redhat-linux/14/../../../../include/c++/14/bits/stl_tree.h (1947, 7)
LOOP END
LOOP BEGIN at ABE.C (125, 13)
LOOP END
=================================================================
Begin optimization report for: std::allocator<char>::allocator()
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::basic_string<std::allocator<char>>(char const*, std::allocator<char> const&)
=================================================================
Begin optimization report for: std::__new_allocator<char>::~__new_allocator()
=================================================================
Begin optimization report for: std::map<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::insert(std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>&&)
=================================================================
Begin optimization report for: std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>::pair<char const (&) [9], std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>&, true>(char const (&) [9], std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>&)
=================================================================
Begin optimization report for: std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>::~pair()
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::~basic_string()
=================================================================
Begin optimization report for: std::_Rb_tree_iterator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>::_Rb_tree_iterator()
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::basic_string()
=================================================================
Begin optimization report for: std::map<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::find(std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const&)
LOOP BEGIN at /usr/lib/gcc/x86_64-redhat-linux/14/../../../../include/c++/14/bits/stl_tree.h (1947, 7)
LOOP END
=================================================================
Begin optimization report for: std::operator!=(std::_Rb_tree_iterator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>> const&, std::_Rb_tree_iterator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>> const&)
=================================================================
Begin optimization report for: std::map<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::end()
=================================================================
Begin optimization report for: std::_Rb_tree_iterator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>::operator->() const
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::operator=(std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const&)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::c_str() const
=================================================================
Begin optimization report for: std::basic_ostream<char, std::char_traits<char>>& std::operator<<<std::char_traits<char>>(std::basic_ostream<char, std::char_traits<char>>&, char const*)
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Begin optimization report for: std::ostream::operator<<(std::ostream& (*)(std::ostream&))
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Begin optimization report for: std::basic_ostream<char, std::char_traits<char>>& std::endl<char, std::char_traits<char>>(std::basic_ostream<char, std::char_traits<char>>&)
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Begin optimization report for: std::basic_ifstream<char, std::char_traits<char>>::basic_ifstream(char const*, std::_Ios_Openmode)
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Begin optimization report for: std::basic_ios<char, std::char_traits<char>>::good() const
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Begin optimization report for: std::istream::getline(char*, long)
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Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::operator=(char const*)
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Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::basic_string(std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const&)
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Begin optimization report for: bool std::operator==<char, std::char_traits<char>, std::allocator<char>>(std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const&, char const*)
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Begin optimization report for: atoi
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Begin optimization report for: atof
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Begin optimization report for: std::basic_ifstream<char, std::char_traits<char>>::close()
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Begin optimization report for: std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>::pair<char const (&) [11], std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>&, true>(char const (&) [11], std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>&)
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Begin optimization report for: std::basic_ifstream<char, std::char_traits<char>>::~basic_ifstream()
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Begin optimization report for: std::basic_ofstream<char, std::char_traits<char>>::basic_ofstream()
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Begin optimization report for: std::basic_ofstream<char, std::char_traits<char>>::open(char const*, std::_Ios_Openmode)
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Begin optimization report for: std::basic_ofstream<char, std::char_traits<char>>::close()
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Begin optimization report for: std::basic_ofstream<char, std::char_traits<char>>::~basic_ofstream()
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Begin optimization report for: std::ostream::operator<<(double)
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Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::_Rb_tree()
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::_Rb_tree_impl<std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, true>::_Rb_tree_impl()
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Begin optimization report for: std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::allocator()
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Begin optimization report for: std::_Rb_tree_key_compare<std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>::_Rb_tree_key_compare()
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Begin optimization report for: std::_Rb_tree_header::_Rb_tree_header()
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Begin optimization report for: std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::__new_allocator()
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Begin optimization report for: std::_Rb_tree_header::_M_reset()
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Begin optimization report for: __clang_call_terminate
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Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::~_Rb_tree()
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::_M_erase(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>*)
LOOP BEGIN at /usr/lib/gcc/x86_64-redhat-linux/14/../../../../include/c++/14/bits/stl_tree.h (1930, 7)
remark #15521: Loop was not vectorized: loop control variable was not identified. Explicitly compute the iteration count before executing the loop or try using canonical loop form from OpenMP specification
remark #25478: While loop unrolled by 2
LOOP END
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::_M_begin()
=================================================================
Begin optimization report for: std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::~__new_allocator()
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Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::_S_right(std::_Rb_tree_node_base*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::_S_left(std::_Rb_tree_node_base*)
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Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::_M_drop_node(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::_M_destroy_node(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::_M_put_node(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>*)
=================================================================
Begin optimization report for: void std::allocator_traits<std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>>::destroy<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>(std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>&, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::_M_get_Node_allocator()
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Begin optimization report for: std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>::_M_valptr()
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Begin optimization report for: void std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::destroy<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>(std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>*)
=================================================================
Begin optimization report for: std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>::~pair()
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Begin optimization report for: __gnu_cxx::__aligned_membuf<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>::_M_ptr()
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Begin optimization report for: __gnu_cxx::__aligned_membuf<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>::_M_addr()
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Begin optimization report for: std::allocator_traits<std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>>::deallocate(std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>&, std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>*, unsigned long)
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Begin optimization report for: std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::deallocate(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>*, unsigned long)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, int>>>::_M_mbegin() const
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::_Rb_tree()
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::_Rb_tree_impl<std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, true>::_Rb_tree_impl()
=================================================================
Begin optimization report for: std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::allocator()
=================================================================
Begin optimization report for: std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::__new_allocator()
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::~_Rb_tree()
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::_M_erase(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>*)
LOOP BEGIN at /usr/lib/gcc/x86_64-redhat-linux/14/../../../../include/c++/14/bits/stl_tree.h (1930, 7)
remark #15521: Loop was not vectorized: loop control variable was not identified. Explicitly compute the iteration count before executing the loop or try using canonical loop form from OpenMP specification
remark #25478: While loop unrolled by 2
LOOP END
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::_M_begin()
=================================================================
Begin optimization report for: std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::~__new_allocator()
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::_S_right(std::_Rb_tree_node_base*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::_S_left(std::_Rb_tree_node_base*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::_M_drop_node(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::_M_destroy_node(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::_M_put_node(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>*)
=================================================================
Begin optimization report for: void std::allocator_traits<std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>>::destroy<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>(std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>&, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::_M_get_Node_allocator()
=================================================================
Begin optimization report for: std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>::_M_valptr()
=================================================================
Begin optimization report for: void std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::destroy<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>(std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>*)
=================================================================
Begin optimization report for: std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>::~pair()
=================================================================
Begin optimization report for: __gnu_cxx::__aligned_membuf<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>::_M_ptr()
=================================================================
Begin optimization report for: __gnu_cxx::__aligned_membuf<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>::_M_addr()
=================================================================
Begin optimization report for: std::allocator_traits<std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>>::deallocate(std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>&, std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>*, unsigned long)
=================================================================
Begin optimization report for: std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::deallocate(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>*, unsigned long)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, double>>>::_M_mbegin() const
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_Rb_tree()
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_Rb_tree_impl<std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, true>::_Rb_tree_impl()
=================================================================
Begin optimization report for: std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::allocator()
=================================================================
Begin optimization report for: std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::__new_allocator()
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::~_Rb_tree()
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_erase(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>*)
LOOP BEGIN at /usr/lib/gcc/x86_64-redhat-linux/14/../../../../include/c++/14/bits/stl_tree.h (1930, 7)
remark #15521: Loop was not vectorized: loop control variable was not identified. Explicitly compute the iteration count before executing the loop or try using canonical loop form from OpenMP specification
LOOP END
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_begin()
=================================================================
Begin optimization report for: std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::~__new_allocator()
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_S_right(std::_Rb_tree_node_base*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_S_left(std::_Rb_tree_node_base*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_drop_node(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_destroy_node(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_put_node(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>*)
=================================================================
Begin optimization report for: void std::allocator_traits<std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>>::destroy<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>(std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>&, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_get_Node_allocator()
=================================================================
Begin optimization report for: std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>::_M_valptr()
=================================================================
Begin optimization report for: void std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::destroy<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>(std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>*)
=================================================================
Begin optimization report for: __gnu_cxx::__aligned_membuf<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>::_M_ptr()
=================================================================
Begin optimization report for: __gnu_cxx::__aligned_membuf<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>::_M_addr()
=================================================================
Begin optimization report for: std::allocator_traits<std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>>::deallocate(std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>&, std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>*, unsigned long)
=================================================================
Begin optimization report for: std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::deallocate(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>*, unsigned long)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_mbegin() const
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_data() const
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_local_data()
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_Alloc_hider::_Alloc_hider(char*, std::allocator<char>&&)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_init_local_buf()
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_set_length(unsigned long)
=================================================================
Begin optimization report for: std::__ptr_traits_ptr_to<char*, char, false>::pointer_to(char&)
=================================================================
Begin optimization report for: std::__new_allocator<char>::__new_allocator(std::__new_allocator<char> const&)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_length(unsigned long)
=================================================================
Begin optimization report for: std::char_traits<char>::assign(char&, char const&)
=================================================================
Begin optimization report for: std::__new_allocator<char>::__new_allocator()
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_dispose()
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_Alloc_hider::~_Alloc_hider()
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_is_local() const
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_destroy(unsigned long)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_local_data() const
=================================================================
Begin optimization report for: std::__ptr_traits_ptr_to<char const*, char const, false>::pointer_to(char const&)
=================================================================
Begin optimization report for: std::allocator_traits<std::allocator<char>>::deallocate(std::allocator<char>&, char*, unsigned long)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_get_allocator()
=================================================================
Begin optimization report for: std::__new_allocator<char>::deallocate(char*, unsigned long)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_Alloc_hider::_Alloc_hider(char*, std::allocator<char> const&)
=================================================================
Begin optimization report for: std::char_traits<char>::length(char const*)
=================================================================
Begin optimization report for: void std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_construct<char const*>(char const*, char const*, std::forward_iterator_tag)
=================================================================
Begin optimization report for: std::iterator_traits<char const*>::difference_type std::distance<char const*>(char const*, char const*)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_data(char*)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_capacity(unsigned long)
=================================================================
Begin optimization report for: void std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_construct<char const*>(char const*, char const*, std::forward_iterator_tag)::_Guard::_Guard(std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>*)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_S_copy_chars(char*, char const*, char const*)
=================================================================
Begin optimization report for: void std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_construct<char const*>(char const*, char const*, std::forward_iterator_tag)::_Guard::~_Guard()
=================================================================
Begin optimization report for: std::iterator_traits<char const*>::difference_type std::__distance<char const*>(char const*, char const*, std::random_access_iterator_tag)
=================================================================
Begin optimization report for: std::iterator_traits<char const*>::iterator_category std::__iterator_category<char const*>(char const* const&)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_S_copy(char*, char const*, unsigned long)
=================================================================
Begin optimization report for: std::char_traits<char>::copy(char*, char const*, unsigned long)
=================================================================
Begin optimization report for: __gnu_cxx::__alloc_traits<std::allocator<char>, char>::_S_select_on_copy(std::allocator<char> const&)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_get_allocator() const
=================================================================
Begin optimization report for: void std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_construct<char*>(char*, char*, std::forward_iterator_tag)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::length() const
=================================================================
Begin optimization report for: std::allocator_traits<std::allocator<char>>::select_on_container_copy_construction(std::allocator<char> const&)
=================================================================
Begin optimization report for: std::allocator<char>::allocator(std::allocator<char> const&)
=================================================================
Begin optimization report for: std::iterator_traits<char*>::difference_type std::distance<char*>(char*, char*)
=================================================================
Begin optimization report for: void std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_construct<char*>(char*, char*, std::forward_iterator_tag)::_Guard::_Guard(std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>*)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_S_copy_chars(char*, char*, char*)
=================================================================
Begin optimization report for: void std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_construct<char*>(char*, char*, std::forward_iterator_tag)::_Guard::~_Guard()
=================================================================
Begin optimization report for: std::iterator_traits<char*>::difference_type std::__distance<char*>(char*, char*, std::random_access_iterator_tag)
=================================================================
Begin optimization report for: std::iterator_traits<char*>::iterator_category std::__iterator_category<char*>(char* const&)
=================================================================
Begin optimization report for: std::pair<std::_Rb_tree_iterator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, bool> std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_insert_unique<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>(std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>&&)
LOOP BEGIN at /usr/lib/gcc/x86_64-redhat-linux/14/../../../../include/c++/14/bits/stl_tree.h (2113, 7)
LOOP END
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_get_insert_unique_pos(std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const&)
LOOP BEGIN at /usr/lib/gcc/x86_64-redhat-linux/14/../../../../include/c++/14/bits/stl_tree.h (2113, 7)
LOOP END
=================================================================
Begin optimization report for: std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>::operator()(std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>&) const
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_Alloc_node::_Alloc_node(std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>&)
=================================================================
Begin optimization report for: std::_Rb_tree_iterator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>> std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_insert_<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_Alloc_node>(std::_Rb_tree_node_base*, std::_Rb_tree_node_base*, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>&&, std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_Alloc_node&)
=================================================================
Begin optimization report for: std::pair<std::_Rb_tree_iterator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, bool>::pair<std::_Rb_tree_iterator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, bool, true>(std::_Rb_tree_iterator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>&&, bool&&)
=================================================================
Begin optimization report for: std::_Rb_tree_iterator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>::_Rb_tree_iterator(std::_Rb_tree_node_base*)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_end()
=================================================================
Begin optimization report for: std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>::operator()(std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const&, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const&) const
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_S_key(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>> const*)
=================================================================
Begin optimization report for: std::operator==(std::_Rb_tree_iterator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>> const&, std::_Rb_tree_iterator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>> const&)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::begin()
=================================================================
Begin optimization report for: std::pair<std::_Rb_tree_node_base*, std::_Rb_tree_node_base*>::pair<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>*&, std::_Rb_tree_node_base*&, true>(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>*&, std::_Rb_tree_node_base*&)
=================================================================
Begin optimization report for: std::_Rb_tree_iterator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>::operator--()
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_S_key(std::_Rb_tree_node_base const*)
=================================================================
Begin optimization report for: std::pair<std::_Rb_tree_node_base*, std::_Rb_tree_node_base*>::pair<std::_Rb_tree_node_base*, std::_Rb_tree_node_base*, true>(std::_Rb_tree_node_base* const&, std::_Rb_tree_node_base* const&)
=================================================================
Begin optimization report for: bool std::operator<<char, std::char_traits<char>, std::allocator<char>>(std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const&, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const&)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::compare(std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const&) const
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::size() const
=================================================================
Begin optimization report for: unsigned long const& std::min<unsigned long>(unsigned long const&, unsigned long const&)
=================================================================
Begin optimization report for: std::char_traits<char>::compare(char const*, char const*, unsigned long)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::data() const
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_S_compare(unsigned long, unsigned long)
=================================================================
Begin optimization report for: std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>::operator()(std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>> const&) const
=================================================================
Begin optimization report for: std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>::_M_valptr() const
=================================================================
Begin optimization report for: __gnu_cxx::__aligned_membuf<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>::_M_ptr() const
=================================================================
Begin optimization report for: __gnu_cxx::__aligned_membuf<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>::_M_addr() const
=================================================================
Begin optimization report for: std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>* std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_Alloc_node::operator()<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>(std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>&&) const
=================================================================
Begin optimization report for: std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>* std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_create_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>(std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>&&)
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_get_node()
=================================================================
Begin optimization report for: void std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_construct_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>*, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>&&)
=================================================================
Begin optimization report for: std::allocator_traits<std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>>::allocate(std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>&, unsigned long)
=================================================================
Begin optimization report for: std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::allocate(unsigned long, void const*)
=================================================================
Begin optimization report for: std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_max_size() const
=================================================================
Begin optimization report for: void std::allocator_traits<std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>>::construct<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>(std::allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>&, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>*, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>&&)
=================================================================
Begin optimization report for: void std::__new_allocator<std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::construct<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>(std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>*, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>&&)
=================================================================
Begin optimization report for: std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>::pair(std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>&&)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::basic_string(std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>&&)
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::_M_use_local_data()
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::find(std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const&)
LOOP BEGIN at /usr/lib/gcc/x86_64-redhat-linux/14/../../../../include/c++/14/bits/stl_tree.h (1947, 7)
LOOP END
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::_M_lower_bound(std::_Rb_tree_node<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>*, std::_Rb_tree_node_base*, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const&)
LOOP BEGIN at /usr/lib/gcc/x86_64-redhat-linux/14/../../../../include/c++/14/bits/stl_tree.h (1947, 7)
LOOP END
=================================================================
Begin optimization report for: std::_Rb_tree<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>, std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::_Select1st<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>, std::less<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>, std::allocator<std::pair<std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const, std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>>>>::end()
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::assign(std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>> const&)
=================================================================
Begin optimization report for: std::basic_ios<char, std::char_traits<char>>::setstate(std::_Ios_Iostate)
=================================================================
Begin optimization report for: std::operator|(std::_Ios_Iostate, std::_Ios_Iostate)
=================================================================
Begin optimization report for: std::basic_ios<char, std::char_traits<char>>::rdstate() const
=================================================================
Begin optimization report for: std::basic_ostream<char, std::char_traits<char>>& std::flush<char, std::char_traits<char>>(std::basic_ostream<char, std::char_traits<char>>&)
=================================================================
Begin optimization report for: std::basic_ios<char, std::char_traits<char>>::widen(char) const
=================================================================
Begin optimization report for: std::ctype<char> const& std::__check_facet<std::ctype<char>>(std::ctype<char> const*)
=================================================================
Begin optimization report for: std::ctype<char>::widen(char) const
=================================================================
Begin optimization report for: std::basic_ios<char, std::char_traits<char>>::basic_ios()
=================================================================
Begin optimization report for: std::basic_istream<char, std::char_traits<char>>::basic_istream()
=================================================================
Begin optimization report for: std::basic_ifstream<char, std::char_traits<char>>::open(char const*, std::_Ios_Openmode)
=================================================================
Begin optimization report for: std::basic_filebuf<char, std::char_traits<char>>::~basic_filebuf()
=================================================================
Begin optimization report for: std::basic_istream<char, std::char_traits<char>>::~basic_istream()
=================================================================
Begin optimization report for: std::operator|(std::_Ios_Openmode, std::_Ios_Openmode)
=================================================================
Begin optimization report for: std::basic_streambuf<char, std::char_traits<char>>::~basic_streambuf()
=================================================================
Begin optimization report for: std::basic_ifstream<char, std::char_traits<char>>::~basic_ifstream()
=================================================================
Begin optimization report for: virtual thunk to std::basic_ifstream<char, std::char_traits<char>>::~basic_ifstream()
=================================================================
Begin optimization report for: std::__cxx11::basic_string<char, std::char_traits<char>, std::allocator<char>>::assign(char const*)
=================================================================
Begin optimization report for: std::basic_ostream<char, std::char_traits<char>>::basic_ostream()
=================================================================
Begin optimization report for: std::basic_ostream<char, std::char_traits<char>>::~basic_ostream()
=================================================================
Begin optimization report for: std::basic_ofstream<char, std::char_traits<char>>::~basic_ofstream()
=================================================================
Begin optimization report for: virtual thunk to std::basic_ofstream<char, std::char_traits<char>>::~basic_ofstream()
=================================================================
Begin optimization report for: _GLOBAL__sub_I_ABE.C
=================================================================

File diff suppressed because it is too large Load Diff

View File

@@ -1,8 +1,7 @@
#ifndef TWO_PUNCTURES_H
#define TWO_PUNCTURES_H
#include <omp.h>
#define StencilSize 19
#define N_PlaneRelax 1
#define NRELAX 200
@@ -43,18 +42,6 @@ private:
int ntotal;
// ===== Precomputed spectral derivative matrices =====
double *D1_A, *D2_A;
double *D1_B, *D2_B;
double *DF1_phi, *DF2_phi;
// ===== Pre-allocated workspace for LineRelax (per-thread) =====
int max_threads;
double **ws_diag_be, **ws_e_be, **ws_f_be, **ws_b_be, **ws_x_be;
double **ws_l_be, **ws_u_be, **ws_d_be, **ws_y_be;
double **ws_diag_al, **ws_e_al, **ws_f_al, **ws_b_al, **ws_x_al;
double **ws_l_al, **ws_u_al, **ws_d_al, **ws_y_al;
struct parameters
{
int nvar, n1, n2, n3;
@@ -71,28 +58,6 @@ public:
int Newtonmaxit);
~TwoPunctures();
// 02/07: New/modified methods
void allocate_workspace();
void free_workspace();
void precompute_derivative_matrices();
void build_cheb_deriv_matrices(int n, double *D1, double *D2);
void build_fourier_deriv_matrices(int N, double *DF1, double *DF2);
void Derivatives_AB3_MatMul(int nvar, int n1, int n2, int n3, derivs v);
void ThomasAlgorithm_ws(int N, double *b, double *a, double *c, double *x, double *q,
double *l, double *u_ws, double *d, double *y);
void LineRelax_be_omp(double *dv,
int const i, int const k, int const nvar,
int const n1, int const n2, int const n3,
double const *rhs, int const *ncols, int **cols,
double **JFD, int tid);
void LineRelax_al_omp(double *dv,
int const j, int const k, int const nvar,
int const n1, int const n2, int const n3,
double const *rhs, int const *ncols,
int **cols, double **JFD, int tid);
void relax_omp(double *dv, int const nvar, int const n1, int const n2, int const n3,
double const *rhs, int const *ncols, int **cols, double **JFD);
void Solve();
void set_initial_guess(derivs v);
int index(int i, int j, int k, int l, int a, int b, int c, int d);
@@ -151,11 +116,23 @@ public:
double BY_KKofxyz(double x, double y, double z);
void SetMatrix_JFD(int nvar, int n1, int n2, int n3, derivs u, int *ncols, int **cols, double **Matrix);
void J_times_dv(int nvar, int n1, int n2, int n3, derivs dv, double *Jdv, derivs u);
void relax(double *dv, int const nvar, int const n1, int const n2, int const n3,
double const *rhs, int const *ncols, int **cols, double **JFD);
void LineRelax_be(double *dv,
int const i, int const k, int const nvar,
int const n1, int const n2, int const n3,
double const *rhs, int const *ncols, int **cols,
double **JFD);
void JFD_times_dv(int i, int j, int k, int nvar, int n1, int n2,
int n3, derivs dv, derivs u, double *values);
void LinEquations(double A, double B, double X, double R,
double x, double r, double phi,
double y, double z, derivs dU, derivs U, double *values);
void LineRelax_al(double *dv,
int const j, int const k, int const nvar,
int const n1, int const n2, int const n3,
double const *rhs, int const *ncols,
int **cols, double **JFD);
void ThomasAlgorithm(int N, double *b, double *a, double *c, double *x, double *q);
void Save(char *fname);
// provided by Vasileios Paschalidis (vpaschal@illinois.edu)

View File

@@ -24,6 +24,9 @@
Gmx_Res, Gmy_Res, Gmz_Res, &
Symmetry,Lev,eps,co) result(gont)
! calculate constraint violation when co=0
#if (GAUGE == 6 || GAUGE == 7)
use mkl_vml
#endif
implicit none
!~~~~~~> Input parameters:
@@ -97,17 +100,18 @@
#endif
#if (GAUGE == 6 || GAUGE == 7)
integer :: BHN,i,j,k
integer :: BHN,i,j,k, idx, total_points
real*8, dimension(9) :: Porg
real*8, dimension(3) :: Mass
real*8 :: r1,r2,M,A,w1,w2,C1,C2
real*8 :: r1,r2,M,A,w1,w2,C1,C2,denom_r
real*8, dimension(ex(1),ex(2),ex(3)) :: reta
real*8, allocatable :: vml_r1(:), vml_r2(:)
real*8, allocatable :: vml_res1(:), vml_res2(:)
call getpbh(BHN,Porg,Mass)
#endif
!!! sanity check (disabled in production builds for performance)
#ifdef DEBUG
!!! 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) &
@@ -137,7 +141,6 @@
gont = 1
return
endif
#endif
PI = dacos(-ONE)
@@ -161,8 +164,36 @@
chi_rhs = F2o3 *chin1*( alpn1 * trK - div_beta ) !rhs for chi
call fderivs(ex,dxx,gxxx,gxxy,gxxz,X,Y,Z,SYM ,SYM ,SYM ,Symmetry,Lev)
call fderivs(ex,gxy,gxyx,gxyy,gxyz,X,Y,Z,ANTI,ANTI,SYM ,Symmetry,Lev)
call fderivs(ex,gxz,gxzx,gxzy,gxzz,X,Y,Z,ANTI,SYM ,ANTI,Symmetry,Lev)
call fderivs(ex,dyy,gyyx,gyyy,gyyz,X,Y,Z,SYM ,SYM ,SYM ,Symmetry,Lev)
call fderivs(ex,gyz,gyzx,gyzy,gyzz,X,Y,Z,SYM ,ANTI,ANTI,Symmetry,Lev)
call fderivs(ex,dzz,gzzx,gzzy,gzzz,X,Y,Z,SYM ,SYM ,SYM ,Symmetry,Lev)
gxx_rhs = - TWO * alpn1 * Axx - F2o3 * gxx * div_beta + &
TWO *( gxx * betaxx + gxy * betayx + gxz * betazx)
gyy_rhs = - TWO * alpn1 * Ayy - F2o3 * gyy * div_beta + &
TWO *( gxy * betaxy + gyy * betayy + gyz * betazy)
gzz_rhs = - TWO * alpn1 * Azz - F2o3 * gzz * div_beta + &
TWO *( gxz * betaxz + gyz * betayz + gzz * betazz)
gxy_rhs = - TWO * alpn1 * Axy + F1o3 * gxy * div_beta + &
gxx * betaxy + gxz * betazy + &
gyy * betayx + gyz * betazx &
- gxy * betazz
gyz_rhs = - TWO * alpn1 * Ayz + F1o3 * gyz * div_beta + &
gxy * betaxz + gyy * betayz + &
gxz * betaxy + gzz * betazy &
- gyz * betaxx
gxz_rhs = - TWO * alpn1 * Axz + F1o3 * gxz * div_beta + &
gxx * betaxz + gxy * betayz + &
gyz * betayx + gzz * betazx &
- gxz * betayy !rhs for gij
! invert tilted metric
gupzz = gxx * gyy * gzz + gxy * gyz * gxz + gxz * gxy * gyz - &
@@ -173,12 +204,7 @@
gupyy = ( gxx * gzz - gxz * gxz ) / gupzz
gupyz = - ( gxx * gyz - gxy * gxz ) / gupzz
gupzz = ( gxx * gyy - gxy * gxy ) / gupzz
call fderivs(ex,dxx,gxxx,gxxy,gxxz,X,Y,Z,SYM ,SYM ,SYM ,Symmetry,Lev)
call fderivs(ex,gxy,gxyx,gxyy,gxyz,X,Y,Z,ANTI,ANTI,SYM ,Symmetry,Lev)
call fderivs(ex,gxz,gxzx,gxzy,gxzz,X,Y,Z,ANTI,SYM ,ANTI,Symmetry,Lev)
call fderivs(ex,dyy,gyyx,gyyy,gyyz,X,Y,Z,SYM ,SYM ,SYM ,Symmetry,Lev)
call fderivs(ex,gyz,gyzx,gyzy,gyzz,X,Y,Z,SYM ,ANTI,ANTI,Symmetry,Lev)
call fderivs(ex,dzz,gzzx,gzzy,gzzz,X,Y,Z,SYM ,SYM ,SYM ,Symmetry,Lev)
if(co == 0)then
! Gam^i_Res = Gam^i + gup^ij_,j
Gmx_Res = Gamx - (gupxx*(gupxx*gxxx+gupxy*gxyx+gupxz*gxzx)&
@@ -841,17 +867,41 @@
C1 = 1.d0/Mass(1) - A
C2 = 1.d0/Mass(2) - A
denom_r = ((Porg(1)-Porg(4))**2+(Porg(2)-Porg(5))**2+(Porg(3)-Porg(6))**2)
total_points = ex(1)*ex(2)*ex(3)
allocate(vml_r1(total_points), vml_r2(total_points))
allocate(vml_res1(total_points), vml_res2(total_points))
idx = 0
do k=1,ex(3)
do j=1,ex(2)
do i=1,ex(1)
r1 = ((Porg(1)-X(i))**2+(Porg(2)-Y(j))**2+(Porg(3)-Z(k))**2)/ &
((Porg(1)-Porg(4))**2+(Porg(2)-Porg(5))**2+(Porg(3)-Porg(6))**2)
r2 = ((Porg(4)-X(i))**2+(Porg(5)-Y(j))**2+(Porg(6)-Z(k))**2)/ &
((Porg(1)-Porg(4))**2+(Porg(2)-Porg(5))**2+(Porg(3)-Porg(6))**2)
reta(i,j,k) = A + C1/(ONE+w1*r1) + C2/(ONE+w2*r2)
idx = idx + 1
r1 = ((Porg(1)-X(i))**2+(Porg(2)-Y(j))**2+(Porg(3)-Z(k))**2)/denom_r
r2 = ((Porg(4)-X(i))**2+(Porg(5)-Y(j))**2+(Porg(6)-Z(k))**2)/denom_r
! Prepare for 1/(1+w*r) -> vdInv
vml_r1(idx) = ONE + w1*r1
vml_r2(idx) = ONE + w2*r2
enddo
enddo
enddo
call vdInv(total_points, vml_r1, vml_res1)
call vdInv(total_points, vml_r2, vml_res2)
idx = 0
do k=1,ex(3)
do j=1,ex(2)
do i=1,ex(1)
idx = idx + 1
reta(i,j,k) = A + C1*vml_res1(idx) + C2*vml_res2(idx)
enddo
enddo
enddo
deallocate(vml_r1, vml_r2, vml_res1, vml_res2)
else
write(*,*) "not support BH_num in Jason's form 1",BHN
endif
@@ -871,17 +921,41 @@
C1 = 1.d0/Mass(1) - A
C2 = 1.d0/Mass(2) - A
denom_r = ((Porg(1)-Porg(4))**2+(Porg(2)-Porg(5))**2+(Porg(3)-Porg(6))**2)
total_points = ex(1)*ex(2)*ex(3)
allocate(vml_r1(total_points), vml_r2(total_points))
allocate(vml_res1(total_points), vml_res2(total_points))
idx = 0
do k=1,ex(3)
do j=1,ex(2)
do i=1,ex(1)
r1 = ((Porg(1)-X(i))**2+(Porg(2)-Y(j))**2+(Porg(3)-Z(k))**2)/ &
((Porg(1)-Porg(4))**2+(Porg(2)-Porg(5))**2+(Porg(3)-Porg(6))**2)
r2 = ((Porg(4)-X(i))**2+(Porg(5)-Y(j))**2+(Porg(6)-Z(k))**2)/ &
((Porg(1)-Porg(4))**2+(Porg(2)-Porg(5))**2+(Porg(3)-Porg(6))**2)
reta(i,j,k) = A + C1*dexp(-w1*r1) + C2*dexp(-w2*r2)
idx = idx + 1
r1 = ((Porg(1)-X(i))**2+(Porg(2)-Y(j))**2+(Porg(3)-Z(k))**2)/denom_r
r2 = ((Porg(4)-X(i))**2+(Porg(5)-Y(j))**2+(Porg(6)-Z(k))**2)/denom_r
! Prepare for dexp -> vdExp
vml_r1(idx) = -w1*r1
vml_r2(idx) = -w2*r2
enddo
enddo
enddo
call vdExp(total_points, vml_r1, vml_res1)
call vdExp(total_points, vml_r2, vml_res2)
idx = 0
do k=1,ex(3)
do j=1,ex(2)
do i=1,ex(1)
idx = idx + 1
reta(i,j,k) = A + C1*vml_res1(idx) + C2*vml_res2(idx)
enddo
enddo
enddo
deallocate(vml_r1, vml_r2, vml_res1, vml_res2)
else
write(*,*) "not support BH_num in Jason's form 2",BHN
endif
@@ -924,99 +998,99 @@
!!!!!!!!!advection term part
gxx_rhs = - TWO * alpn1 * Axx - F2o3 * gxx * div_beta + &
TWO *( gxx * betaxx + gxy * betayx + gxz * betazx)
gyy_rhs = - TWO * alpn1 * Ayy - F2o3 * gyy * div_beta + &
TWO *( gxy * betaxy + gyy * betayy + gyz * betazy)
gzz_rhs = - TWO * alpn1 * Azz - F2o3 * gzz * div_beta + &
TWO *( gxz * betaxz + gyz * betayz + gzz * betazz)
gxy_rhs = - TWO * alpn1 * Axy + F1o3 * gxy * div_beta + &
gxx * betaxy + gxz * betazy + &
gyy * betayx + gyz * betazx &
- gxy * betazz
gyz_rhs = - TWO * alpn1 * Ayz + F1o3 * gyz * div_beta + &
gxy * betaxz + gyy * betayz + &
gxz * betaxy + gzz * betazy &
- gyz * betaxx
gxz_rhs = - TWO * alpn1 * Axz + F1o3 * gxz * div_beta + &
gxx * betaxz + gxy * betayz + &
gyz * betayx + gzz * betazx &
- gxz * betayy !rhs for gij
if(eps>0)then
! usual Kreiss-Oliger dissipation
call merge_lopsided_kodis(ex,X,Y,Z,chi,chi_rhs,betax,betay,betaz,Symmetry,SSS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,gxx,gxx_rhs,betax,betay,betaz,Symmetry,SSS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,gxy,gxy_rhs,betax,betay,betaz,Symmetry,AAS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,gxz,gxz_rhs,betax,betay,betaz,Symmetry,ASA,eps)
call merge_lopsided_kodis(ex,X,Y,Z,gyy,gyy_rhs,betax,betay,betaz,Symmetry,SSS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,gyz,gyz_rhs,betax,betay,betaz,Symmetry,SAA,eps)
call merge_lopsided_kodis(ex,X,Y,Z,gzz,gzz_rhs,betax,betay,betaz,Symmetry,SSS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,Axx,Axx_rhs,betax,betay,betaz,Symmetry,SSS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,Axy,Axy_rhs,betax,betay,betaz,Symmetry,AAS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,Axz,Axz_rhs,betax,betay,betaz,Symmetry,ASA,eps)
call merge_lopsided_kodis(ex,X,Y,Z,Ayy,Ayy_rhs,betax,betay,betaz,Symmetry,SSS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,Ayz,Ayz_rhs,betax,betay,betaz,Symmetry,SAA,eps)
call merge_lopsided_kodis(ex,X,Y,Z,Azz,Azz_rhs,betax,betay,betaz,Symmetry,SSS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,chi,chi_rhs,betax,betay,betaz,Symmetry,SSS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,trK,trK_rhs,betax,betay,betaz,Symmetry,SSS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,Gamx,Gamx_rhs,betax,betay,betaz,Symmetry,ASS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,Gamy,Gamy_rhs,betax,betay,betaz,Symmetry,SAS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,Gamz,Gamz_rhs,betax,betay,betaz,Symmetry,SSA,eps)
call merge_lopsided_kodis(ex,X,Y,Z,Lap,Lap_rhs,betax,betay,betaz,Symmetry,SSS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,betax,betax_rhs,betax,betay,betaz,Symmetry,ASS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,betay,betay_rhs,betax,betay,betaz,Symmetry,SAS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,betaz,betaz_rhs,betax,betay,betaz,Symmetry,SSA,eps)
call merge_lopsided_kodis(ex,X,Y,Z,dtSfx,dtSfx_rhs,betax,betay,betaz,Symmetry,ASS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,dtSfy,dtSfy_rhs,betax,betay,betaz,Symmetry,SAS,eps)
call merge_lopsided_kodis(ex,X,Y,Z,dtSfz,dtSfz_rhs,betax,betay,betaz,Symmetry,SSA,eps)
else
call lopsided(ex,X,Y,Z,gxx,gxx_rhs,betax,betay,betaz,Symmetry,SSS)
call lopsided(ex,X,Y,Z,gxy,gxy_rhs,betax,betay,betaz,Symmetry,AAS)
call lopsided(ex,X,Y,Z,gxz,gxz_rhs,betax,betay,betaz,Symmetry,ASA)
call lopsided(ex,X,Y,Z,gyy,gyy_rhs,betax,betay,betaz,Symmetry,SSS)
call lopsided(ex,X,Y,Z,gyz,gyz_rhs,betax,betay,betaz,Symmetry,SAA)
call lopsided(ex,X,Y,Z,gzz,gzz_rhs,betax,betay,betaz,Symmetry,SSS)
call lopsided(ex,X,Y,Z,Axx,Axx_rhs,betax,betay,betaz,Symmetry,SSS)
call lopsided(ex,X,Y,Z,Axy,Axy_rhs,betax,betay,betaz,Symmetry,AAS)
call lopsided(ex,X,Y,Z,Axz,Axz_rhs,betax,betay,betaz,Symmetry,ASA)
call lopsided(ex,X,Y,Z,Ayy,Ayy_rhs,betax,betay,betaz,Symmetry,SSS)
call lopsided(ex,X,Y,Z,Ayz,Ayz_rhs,betax,betay,betaz,Symmetry,SAA)
call lopsided(ex,X,Y,Z,Azz,Azz_rhs,betax,betay,betaz,Symmetry,SSS)
call lopsided(ex,X,Y,Z,chi,chi_rhs,betax,betay,betaz,Symmetry,SSS)
call lopsided(ex,X,Y,Z,trK,trK_rhs,betax,betay,betaz,Symmetry,SSS)
call lopsided(ex,X,Y,Z,Gamx,Gamx_rhs,betax,betay,betaz,Symmetry,ASS)
call lopsided(ex,X,Y,Z,Gamy,Gamy_rhs,betax,betay,betaz,Symmetry,SAS)
call lopsided(ex,X,Y,Z,Gamz,Gamz_rhs,betax,betay,betaz,Symmetry,SSA)
!!
call lopsided(ex,X,Y,Z,Lap,Lap_rhs,betax,betay,betaz,Symmetry,SSS)
#if (GAUGE == 0 || GAUGE == 1 || GAUGE == 2 || GAUGE == 3 || GAUGE == 4 || GAUGE == 5 || GAUGE == 6 || GAUGE == 7)
call lopsided(ex,X,Y,Z,betax,betax_rhs,betax,betay,betaz,Symmetry,ASS)
call lopsided(ex,X,Y,Z,betay,betay_rhs,betax,betay,betaz,Symmetry,SAS)
call lopsided(ex,X,Y,Z,betaz,betaz_rhs,betax,betay,betaz,Symmetry,SSA)
#endif
#if (GAUGE == 0 || GAUGE == 2 || GAUGE == 3 || GAUGE == 6 || GAUGE == 7)
call lopsided(ex,X,Y,Z,dtSfx,dtSfx_rhs,betax,betay,betaz,Symmetry,ASS)
call lopsided(ex,X,Y,Z,dtSfy,dtSfy_rhs,betax,betay,betaz,Symmetry,SAS)
call lopsided(ex,X,Y,Z,dtSfz,dtSfz_rhs,betax,betay,betaz,Symmetry,SSA)
#endif
if(eps>0)then
! usual Kreiss-Oliger dissipation
call kodis(ex,X,Y,Z,chi,chi_rhs,SSS,Symmetry,eps)
call kodis(ex,X,Y,Z,trK,trK_rhs,SSS,Symmetry,eps)
call kodis(ex,X,Y,Z,dxx,gxx_rhs,SSS,Symmetry,eps)
call kodis(ex,X,Y,Z,gxy,gxy_rhs,AAS,Symmetry,eps)
call kodis(ex,X,Y,Z,gxz,gxz_rhs,ASA,Symmetry,eps)
call kodis(ex,X,Y,Z,dyy,gyy_rhs,SSS,Symmetry,eps)
call kodis(ex,X,Y,Z,gyz,gyz_rhs,SAA,Symmetry,eps)
call kodis(ex,X,Y,Z,dzz,gzz_rhs,SSS,Symmetry,eps)
#if 0
#define i 42
#define j 40
#define k 40
if(Lev == 1)then
write(*,*) X(i),Y(j),Z(k)
write(*,*) "before",Axx_rhs(i,j,k)
endif
#undef i
#undef j
#undef k
!!stop
#endif
call kodis(ex,X,Y,Z,Axx,Axx_rhs,SSS,Symmetry,eps)
#if 0
#define i 42
#define j 40
#define k 40
if(Lev == 1)then
write(*,*) X(i),Y(j),Z(k)
write(*,*) "after",Axx_rhs(i,j,k)
endif
#undef i
#undef j
#undef k
!!stop
#endif
call kodis(ex,X,Y,Z,Axy,Axy_rhs,AAS,Symmetry,eps)
call kodis(ex,X,Y,Z,Axz,Axz_rhs,ASA,Symmetry,eps)
call kodis(ex,X,Y,Z,Ayy,Ayy_rhs,SSS,Symmetry,eps)
call kodis(ex,X,Y,Z,Ayz,Ayz_rhs,SAA,Symmetry,eps)
call kodis(ex,X,Y,Z,Azz,Azz_rhs,SSS,Symmetry,eps)
call kodis(ex,X,Y,Z,Gamx,Gamx_rhs,ASS,Symmetry,eps)
call kodis(ex,X,Y,Z,Gamy,Gamy_rhs,SAS,Symmetry,eps)
call kodis(ex,X,Y,Z,Gamz,Gamz_rhs,SSA,Symmetry,eps)
#if 1
!! bam does not apply dissipation on gauge variables
call kodis(ex,X,Y,Z,Lap,Lap_rhs,SSS,Symmetry,eps)
call kodis(ex,X,Y,Z,betax,betax_rhs,ASS,Symmetry,eps)
call kodis(ex,X,Y,Z,betay,betay_rhs,SAS,Symmetry,eps)
call kodis(ex,X,Y,Z,betaz,betaz_rhs,SSA,Symmetry,eps)
#if (GAUGE == 0 || GAUGE == 2 || GAUGE == 3 || GAUGE == 6 || GAUGE == 7)
call kodis(ex,X,Y,Z,dtSfx,dtSfx_rhs,ASS,Symmetry,eps)
call kodis(ex,X,Y,Z,dtSfy,dtSfy_rhs,SAS,Symmetry,eps)
call kodis(ex,X,Y,Z,dtSfz,dtSfz_rhs,SSA,Symmetry,eps)
#endif
#endif
endif
@@ -1163,265 +1237,3 @@ endif
return
end function compute_rhs_bssn
subroutine merge_lopsided_kodis(ex,X,Y,Z,f,f_rhs,Sfx,Sfy,Sfz,Symmetry,SoA,eps)
implicit none
!~~~~~~> Input parameters:
integer, intent(in) :: ex(1:3),Symmetry
real*8, intent(in) :: X(1:ex(1)),Y(1:ex(2)),Z(1:ex(3))
real*8,dimension(ex(1),ex(2),ex(3)),intent(in) :: f,Sfx,Sfy,Sfz
real*8,dimension(ex(1),ex(2),ex(3)),intent(inout):: f_rhs
real*8,dimension(3),intent(in) ::SoA
!~~~~~~> local variables:
! note index -2,-1,0, so we have 3 extra points
real*8,dimension(-2:ex(1),-2:ex(2),-2:ex(3)) :: fh
integer :: imin_lopsided,jmin_lopsided,kmin_lopsided,imin_kodis,jmin_kodis,kmin_kodis,imax,jmax,kmax,i,j,k
real*8 :: dX,dY,dZ
real*8 :: d12dx,d12dy,d12dz,d2dx,d2dy,d2dz
real*8, parameter :: ZEO=0.d0,ONE=1.d0, F3=3.d0
real*8, parameter :: TWO=2.d0,F6=6.0d0,F18=1.8d1
real*8, parameter :: F12=1.2d1, F10=1.d1,EIT=8.d0
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
real*8, parameter :: SIX=6.d0,FIT=1.5d1,TWT=2.d1
real*8,parameter::cof=6.4d1 ! 2^6
real*8,intent(in) :: eps
dX = X(2)-X(1)
dY = Y(2)-Y(1)
dZ = Z(2)-Z(1)
d12dx = ONE/F12/dX
d12dy = ONE/F12/dY
d12dz = ONE/F12/dZ
d2dx = ONE/TWO/dX
d2dy = ONE/TWO/dY
d2dz = ONE/TWO/dZ
imax = ex(1)
jmax = ex(2)
kmax = ex(3)
imin_lopsided = 1
jmin_lopsided = 1
kmin_lopsided = 1
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin_lopsided = -2
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin_lopsided = -2
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin_lopsided = -2
imin_kodis = 1
jmin_kodis = 1
kmin_kodis = 1
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin_kodis = -2
if(Symmetry == OCTANT .and. dabs(X(1)) < dX) imin_kodis = -2
if(Symmetry == OCTANT .and. dabs(Y(1)) < dY) jmin_kodis = -2
call symmetry_bd(3,ex,f,fh,SoA)
! upper bound set ex-1 only for efficiency,
! the loop body will set ex 0 also
do k=1,ex(3)-1
do j=1,ex(2)-1
do i=1,ex(1)-1
!! new code, 2012dec27, based on bam
! x direction
if(Sfx(i,j,k) > ZEO)then
if(i+3 <= imax)then
! v
! D f = ------[ - 3f - 10f + 18f - 6f + f ]
! i 12dx i-v i i+v i+2v i+3v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d12dx*(-F3*fh(i-1,j,k)-F10*fh(i,j,k)+F18*fh(i+1,j,k) &
-F6*fh(i+2,j,k)+ fh(i+3,j,k))
elseif(i+2 <= imax)then
!
! f(i-2) - 8 f(i-1) + 8 f(i+1) - f(i+2)
! fx(i) = ---------------------------------------------
! 12 dx
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d12dx*(fh(i-2,j,k)-EIT*fh(i-1,j,k)+EIT*fh(i+1,j,k)-fh(i+2,j,k))
elseif(i+1 <= imax)then
! v
! D f = ------[ 3f + 10f - 18f + 6f - f ]
! i 12dx i+v i i-v i-2v i-3v
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfx(i,j,k)*d12dx*(-F3*fh(i+1,j,k)-F10*fh(i,j,k)+F18*fh(i-1,j,k) &
-F6*fh(i-2,j,k)+ fh(i-3,j,k))
! set imax and imin_lopsided 0
endif
elseif(Sfx(i,j,k) < ZEO)then
if(i-3 >= imin_lopsided)then
! v
! D f = ------[ - 3f - 10f + 18f - 6f + f ]
! i 12dx i-v i i+v i+2v i+3v
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfx(i,j,k)*d12dx*(-F3*fh(i+1,j,k)-F10*fh(i,j,k)+F18*fh(i-1,j,k) &
-F6*fh(i-2,j,k)+ fh(i-3,j,k))
elseif(i-2 >= imin_lopsided)then
!
! f(i-2) - 8 f(i-1) + 8 f(i+1) - f(i+2)
! fx(i) = ---------------------------------------------
! 12 dx
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d12dx*(fh(i-2,j,k)-EIT*fh(i-1,j,k)+EIT*fh(i+1,j,k)-fh(i+2,j,k))
elseif(i-1 >= imin_lopsided)then
! v
! D f = ------[ 3f + 10f - 18f + 6f - f ]
! i 12dx i+v i i-v i-2v i-3v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d12dx*(-F3*fh(i-1,j,k)-F10*fh(i,j,k)+F18*fh(i+1,j,k) &
-F6*fh(i+2,j,k)+ fh(i+3,j,k))
! set imax and imin_lopsided 0
endif
endif
! y direction
if(Sfy(i,j,k) > ZEO)then
if(j+3 <= jmax)then
! v
! D f = ------[ - 3f - 10f + 18f - 6f + f ]
! i 12dx i-v i i+v i+2v i+3v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d12dy*(-F3*fh(i,j-1,k)-F10*fh(i,j,k)+F18*fh(i,j+1,k) &
-F6*fh(i,j+2,k)+ fh(i,j+3,k))
elseif(j+2 <= jmax)then
!
! f(i-2) - 8 f(i-1) + 8 f(i+1) - f(i+2)
! fx(i) = ---------------------------------------------
! 12 dx
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d12dy*(fh(i,j-2,k)-EIT*fh(i,j-1,k)+EIT*fh(i,j+1,k)-fh(i,j+2,k))
elseif(j+1 <= jmax)then
! v
! D f = ------[ 3f + 10f - 18f + 6f - f ]
! i 12dx i+v i i-v i-2v i-3v
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfy(i,j,k)*d12dy*(-F3*fh(i,j+1,k)-F10*fh(i,j,k)+F18*fh(i,j-1,k) &
-F6*fh(i,j-2,k)+ fh(i,j-3,k))
! set imax and imin_lopsided 0
endif
elseif(Sfy(i,j,k) < ZEO)then
if(j-3 >= jmin_lopsided)then
! v
! D f = ------[ - 3f - 10f + 18f - 6f + f ]
! i 12dx i-v i i+v i+2v i+3v
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfy(i,j,k)*d12dy*(-F3*fh(i,j+1,k)-F10*fh(i,j,k)+F18*fh(i,j-1,k) &
-F6*fh(i,j-2,k)+ fh(i,j-3,k))
elseif(j-2 >= jmin_lopsided)then
!
! f(i-2) - 8 f(i-1) + 8 f(i+1) - f(i+2)
! fx(i) = ---------------------------------------------
! 12 dx
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d12dy*(fh(i,j-2,k)-EIT*fh(i,j-1,k)+EIT*fh(i,j+1,k)-fh(i,j+2,k))
elseif(j-1 >= jmin_lopsided)then
! v
! D f = ------[ 3f + 10f - 18f + 6f - f ]
! i 12dx i+v i i-v i-2v i-3v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d12dy*(-F3*fh(i,j-1,k)-F10*fh(i,j,k)+F18*fh(i,j+1,k) &
-F6*fh(i,j+2,k)+ fh(i,j+3,k))
! set jmax and jmin_lopsided 0
endif
endif
! z direction
if(Sfz(i,j,k) > ZEO)then
if(k+3 <= kmax)then
! v
! D f = ------[ - 3f - 10f + 18f - 6f + f ]
! i 12dx i-v i i+v i+2v i+3v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d12dz*(-F3*fh(i,j,k-1)-F10*fh(i,j,k)+F18*fh(i,j,k+1) &
-F6*fh(i,j,k+2)+ fh(i,j,k+3))
elseif(k+2 <= kmax)then
!
! f(i-2) - 8 f(i-1) + 8 f(i+1) - f(i+2)
! fx(i) = ---------------------------------------------
! 12 dx
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d12dz*(fh(i,j,k-2)-EIT*fh(i,j,k-1)+EIT*fh(i,j,k+1)-fh(i,j,k+2))
elseif(k+1 <= kmax)then
! v
! D f = ------[ 3f + 10f - 18f + 6f - f ]
! i 12dx i+v i i-v i-2v i-3v
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfz(i,j,k)*d12dz*(-F3*fh(i,j,k+1)-F10*fh(i,j,k)+F18*fh(i,j,k-1) &
-F6*fh(i,j,k-2)+ fh(i,j,k-3))
! set imax and imin_lopsided 0
endif
elseif(Sfz(i,j,k) < ZEO)then
if(k-3 >= kmin_lopsided)then
! v
! D f = ------[ - 3f - 10f + 18f - 6f + f ]
! i 12dx i-v i i+v i+2v i+3v
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfz(i,j,k)*d12dz*(-F3*fh(i,j,k+1)-F10*fh(i,j,k)+F18*fh(i,j,k-1) &
-F6*fh(i,j,k-2)+ fh(i,j,k-3))
elseif(k-2 >= kmin_lopsided)then
!
! f(i-2) - 8 f(i-1) + 8 f(i+1) - f(i+2)
! fx(i) = ---------------------------------------------
! 12 dx
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d12dz*(fh(i,j,k-2)-EIT*fh(i,j,k-1)+EIT*fh(i,j,k+1)-fh(i,j,k+2))
elseif(k-1 >= kmin_lopsided)then
! v
! D f = ------[ 3f + 10f - 18f + 6f - f ]
! i 12dx i+v i i-v i-2v i-3v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d12dz*(-F3*fh(i,j,k-1)-F10*fh(i,j,k)+F18*fh(i,j,k+1) &
-F6*fh(i,j,k+2)+ fh(i,j,k+3))
! set kmax and kmin_lopsided 0
endif
endif
if(i-3 >= imin_kodis .and. i+3 <= imax .and. &
j-3 >= jmin_kodis .and. j+3 <= jmax .and. &
k-3 >= kmin_kodis .and. k+3 <= kmax) then
! calculation order if important ?
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/cof *( ( &
(fh(i-3,j,k)+fh(i+3,j,k)) - &
SIX*(fh(i-2,j,k)+fh(i+2,j,k)) + &
FIT*(fh(i-1,j,k)+fh(i+1,j,k)) - &
TWT* fh(i,j,k) )/dX + &
( &
(fh(i,j-3,k)+fh(i,j+3,k)) - &
SIX*(fh(i,j-2,k)+fh(i,j+2,k)) + &
FIT*(fh(i,j-1,k)+fh(i,j+1,k)) - &
TWT* fh(i,j,k) )/dY + &
( &
(fh(i,j,k-3)+fh(i,j,k+3)) - &
SIX*(fh(i,j,k-2)+fh(i,j,k+2)) + &
FIT*(fh(i,j,k-1)+fh(i,j,k+1)) - &
TWT* fh(i,j,k) )/dZ )
endif
enddo
enddo
enddo
return
end subroutine merge_lopsided_kodis

View File

@@ -69,8 +69,12 @@
fy = ZEO
fz = ZEO
! Intel compiler directives for aggressive vectorization
!DIR$ SIMD
!DIR$ IVDEP
do k=1,ex(3)-1
do j=1,ex(2)-1
!DIR$ SIMD
do i=1,ex(1)-1
! x direction
if(i+1 <= imax .and. i-1 >= imin)then
@@ -958,6 +962,7 @@
real*8,dimension(-1:ex(1),-1:ex(2),-1:ex(3)) :: fh
real*8, dimension(3) :: SoA
integer :: imin,jmin,kmin,imax,jmax,kmax,i,j,k
integer :: ib_s, ib_e, jb_s, jb_e, kb_s, kb_e
real*8 :: d12dx,d12dy,d12dz,d2dx,d2dy,d2dz
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
real*8, parameter :: ZEO=0.d0,ONE=1.d0, F60=6.d1
@@ -997,26 +1002,66 @@
fy = ZEO
fz = ZEO
ib_s = max(1, imin + 2)
ib_e = min(ex(1)-1, imax - 2)
jb_s = max(1, jmin + 2)
jb_e = min(ex(2)-1, jmax - 2)
kb_s = max(1, kmin + 2)
kb_e = min(ex(3)-1, kmax - 2)
! Intel compiler directives for aggressive vectorization
!DIR$ SIMD
!DIR$ IVDEP
do k=1,ex(3)-1
do j=1,ex(2)-1
do i=1,ex(1)-1
! for bam comparison
if(i+2 <= imax .and. i-2 >= imin .and. &
j+2 <= jmax .and. j-2 >= jmin .and. &
k+2 <= kmax .and. k-2 >= kmin) then
fx(i,j,k)=d12dx*(fh(i-2,j,k)-EIT*fh(i-1,j,k)+EIT*fh(i+1,j,k)-fh(i+2,j,k))
fy(i,j,k)=d12dy*(fh(i,j-2,k)-EIT*fh(i,j-1,k)+EIT*fh(i,j+1,k)-fh(i,j+2,k))
fz(i,j,k)=d12dz*(fh(i,j,k-2)-EIT*fh(i,j,k-1)+EIT*fh(i,j,k+1)-fh(i,j,k+2))
elseif(i+1 <= imax .and. i-1 >= imin .and. &
! Check if (j, k) are within the safe 4th-order range
if (k >= kb_s .and. k <= kb_e .and. j >= jb_s .and. j <= jb_e) then
! 1. Left Boundary Peel
do i=1, min(ex(1)-1, ib_s-1)
if(i+1 <= imax .and. i-1 >= imin .and. &
j+1 <= jmax .and. j-1 >= jmin .and. &
k+1 <= kmax .and. k-1 >= kmin) then
fx(i,j,k)=d2dx*(-fh(i-1,j,k)+fh(i+1,j,k))
fy(i,j,k)=d2dy*(-fh(i,j-1,k)+fh(i,j+1,k))
fz(i,j,k)=d2dz*(-fh(i,j,k-1)+fh(i,j,k+1))
endif
enddo
! 2. BULK CORE (No branches, full SIMD)
!DIR$ SIMD
do i=ib_s, ib_e
fx(i,j,k)=d12dx*(fh(i-2,j,k)-EIT*fh(i-1,j,k)+EIT*fh(i+1,j,k)-fh(i+2,j,k))
fy(i,j,k)=d12dy*(fh(i,j-2,k)-EIT*fh(i,j-1,k)+EIT*fh(i,j+1,k)-fh(i,j+2,k))
fz(i,j,k)=d12dz*(fh(i,j,k-2)-EIT*fh(i,j,k-1)+EIT*fh(i,j,k+1)-fh(i,j,k+2))
enddo
! 3. Right Boundary Peel
do i=max(1, ib_e+1), ex(1)-1
if(i+1 <= imax .and. i-1 >= imin .and. &
j+1 <= jmax .and. j-1 >= jmin .and. &
k+1 <= kmax .and. k-1 >= kmin) then
fx(i,j,k)=d2dx*(-fh(i-1,j,k)+fh(i+1,j,k))
fy(i,j,k)=d2dy*(-fh(i,j-1,k)+fh(i,j+1,k))
fz(i,j,k)=d2dz*(-fh(i,j,k-1)+fh(i,j,k+1))
endif
enddo
else
! We are in a boundary slab (j or k is near edge)
! Fallback to standard loop with checks (max 2nd order possible here)
do i=1,ex(1)-1
if(i+1 <= imax .and. i-1 >= imin .and. &
j+1 <= jmax .and. j-1 >= jmin .and. &
k+1 <= kmax .and. k-1 >= kmin) then
fx(i,j,k)=d2dx*(-fh(i-1,j,k)+fh(i+1,j,k))
fy(i,j,k)=d2dy*(-fh(i,j-1,k)+fh(i,j+1,k))
fz(i,j,k)=d2dz*(-fh(i,j,k-1)+fh(i,j,k+1))
endif
enddo
endif
enddo
enddo
@@ -1325,7 +1370,85 @@
do k=1,ex(3)-1
do j=1,ex(2)-1
do i=1,ex(1)-1
#if 0
!~~~~~~ fxx
if(i+2 <= imax .and. i-2 >= imin)then
!
! - f(i-2) + 16 f(i-1) - 30 f(i) + 16 f(i+1) - f(i+2)
! fxx(i) = ----------------------------------------------------------
! 12 dx^2
fxx(i,j,k) = Fdxdx*(-fh(i-2,j,k)+F16*fh(i-1,j,k)-F30*fh(i,j,k) &
-fh(i+2,j,k)+F16*fh(i+1,j,k) )
elseif(i+1 <= imax .and. i-1 >= imin)then
!
! f(i-1) - 2 f(i) + f(i+1)
! fxx(i) = --------------------------------
! dx^2
fxx(i,j,k) = Sdxdx*(fh(i-1,j,k)-TWO*fh(i,j,k) &
+fh(i+1,j,k) )
endif
!~~~~~~ fyy
if(j+2 <= jmax .and. j-2 >= jmin)then
fyy(i,j,k) = Fdydy*(-fh(i,j-2,k)+F16*fh(i,j-1,k)-F30*fh(i,j,k) &
-fh(i,j+2,k)+F16*fh(i,j+1,k) )
elseif(j+1 <= jmax .and. j-1 >= jmin)then
fyy(i,j,k) = Sdydy*(fh(i,j-1,k)-TWO*fh(i,j,k) &
+fh(i,j+1,k) )
endif
!~~~~~~ fzz
if(k+2 <= kmax .and. k-2 >= kmin)then
fzz(i,j,k) = Fdzdz*(-fh(i,j,k-2)+F16*fh(i,j,k-1)-F30*fh(i,j,k) &
-fh(i,j,k+2)+F16*fh(i,j,k+1) )
elseif(k+1 <= kmax .and. k-1 >= kmin)then
fzz(i,j,k) = Sdzdz*(fh(i,j,k-1)-TWO*fh(i,j,k) &
+fh(i,j,k+1) )
endif
!~~~~~~ fxy
if(i+2 <= imax .and. i-2 >= imin .and. j+2 <= jmax .and. j-2 >= jmin)then
!
! ( f(i-2,j-2) - 8 f(i-1,j-2) + 8 f(i+1,j-2) - f(i+2,j-2) )
! - 8 ( f(i-2,j-1) - 8 f(i-1,j-1) + 8 f(i+1,j-1) - f(i+2,j-1) )
! + 8 ( f(i-2,j+1) - 8 f(i-1,j+1) + 8 f(i+1,j+1) - f(i+2,j+1) )
! - ( f(i-2,j+2) - 8 f(i-1,j+2) + 8 f(i+1,j+2) - f(i+2,j+2) )
! fxy(i,j) = ----------------------------------------------------------------
! 144 dx dy
fxy(i,j,k) = Fdxdy*( (fh(i-2,j-2,k)-F8*fh(i-1,j-2,k)+F8*fh(i+1,j-2,k)-fh(i+2,j-2,k)) &
-F8 *(fh(i-2,j-1,k)-F8*fh(i-1,j-1,k)+F8*fh(i+1,j-1,k)-fh(i+2,j-1,k)) &
+F8 *(fh(i-2,j+1,k)-F8*fh(i-1,j+1,k)+F8*fh(i+1,j+1,k)-fh(i+2,j+1,k)) &
- (fh(i-2,j+2,k)-F8*fh(i-1,j+2,k)+F8*fh(i+1,j+2,k)-fh(i+2,j+2,k)))
elseif(i+1 <= imax .and. i-1 >= imin .and. j+1 <= jmax .and. j-1 >= jmin)then
! f(i-1,j-1) - f(i+1,j-1) - f(i-1,j+1) + f(i+1,j+1)
! fxy(i,j) = -----------------------------------------------------------
! 4 dx dy
fxy(i,j,k) = Sdxdy*(fh(i-1,j-1,k)-fh(i+1,j-1,k)-fh(i-1,j+1,k)+fh(i+1,j+1,k))
endif
!~~~~~~ fxz
if(i+2 <= imax .and. i-2 >= imin .and. k+2 <= kmax .and. k-2 >= kmin)then
fxz(i,j,k) = Fdxdz*( (fh(i-2,j,k-2)-F8*fh(i-1,j,k-2)+F8*fh(i+1,j,k-2)-fh(i+2,j,k-2)) &
-F8 *(fh(i-2,j,k-1)-F8*fh(i-1,j,k-1)+F8*fh(i+1,j,k-1)-fh(i+2,j,k-1)) &
+F8 *(fh(i-2,j,k+1)-F8*fh(i-1,j,k+1)+F8*fh(i+1,j,k+1)-fh(i+2,j,k+1)) &
- (fh(i-2,j,k+2)-F8*fh(i-1,j,k+2)+F8*fh(i+1,j,k+2)-fh(i+2,j,k+2)))
elseif(i+1 <= imax .and. i-1 >= imin .and. k+1 <= kmax .and. k-1 >= kmin)then
fxz(i,j,k) = Sdxdz*(fh(i-1,j,k-1)-fh(i+1,j,k-1)-fh(i-1,j,k+1)+fh(i+1,j,k+1))
endif
!~~~~~~ fyz
if(j+2 <= jmax .and. j-2 >= jmin .and. k+2 <= kmax .and. k-2 >= kmin)then
fyz(i,j,k) = Fdydz*( (fh(i,j-2,k-2)-F8*fh(i,j-1,k-2)+F8*fh(i,j+1,k-2)-fh(i,j+2,k-2)) &
-F8 *(fh(i,j-2,k-1)-F8*fh(i,j-1,k-1)+F8*fh(i,j+1,k-1)-fh(i,j+2,k-1)) &
+F8 *(fh(i,j-2,k+1)-F8*fh(i,j-1,k+1)+F8*fh(i,j+1,k+1)-fh(i,j+2,k+1)) &
- (fh(i,j-2,k+2)-F8*fh(i,j-1,k+2)+F8*fh(i,j+1,k+2)-fh(i,j+2,k+2)))
elseif(j+1 <= jmax .and. j-1 >= jmin .and. k+1 <= kmax .and. k-1 >= kmin)then
fyz(i,j,k) = Sdydz*(fh(i,j-1,k-1)-fh(i,j+1,k-1)-fh(i,j-1,k+1)+fh(i,j+1,k+1))
endif
#else
! for bam comparison
if(i+2 <= imax .and. i-2 >= imin .and. &
j+2 <= jmax .and. j-2 >= jmin .and. &
@@ -1361,7 +1484,7 @@
fxz(i,j,k) = Sdxdz*(fh(i-1,j,k-1)-fh(i+1,j,k-1)-fh(i-1,j,k+1)+fh(i+1,j,k+1))
fyz(i,j,k) = Sdydz*(fh(i,j-1,k-1)-fh(i,j+1,k-1)-fh(i,j-1,k+1)+fh(i,j+1,k+1))
endif
#endif
enddo
enddo
enddo
@@ -1854,8 +1977,12 @@
fy = ZEO
fz = ZEO
! Intel compiler directives for aggressive vectorization
!DIR$ SIMD
!DIR$ IVDEP
do k=1,ex(3)-1
do j=1,ex(2)-1
!DIR$ SIMD
do i=1,ex(1)-1
! x direction
if(i+3 <= imax .and. i-3 >= imin)then
@@ -2923,8 +3050,12 @@
fy = ZEO
fz = ZEO
! Intel compiler directives for aggressive vectorization
!DIR$ SIMD
!DIR$ IVDEP
do k=1,ex(3)-1
do j=1,ex(2)-1
!DIR$ SIMD
do i=1,ex(1)-1
! x direction
if(i+4 <= imax .and. i-4 >= imin)then

File diff suppressed because it is too large Load Diff

View File

@@ -19,60 +19,48 @@
!~~~~~~~> Local variable:
integer :: i,j,k
real*8 :: lgxx,lgyy,lgzz,ldetg
real*8 :: lgupxx,lgupxy,lgupxz,lgupyy,lgupyz,lgupzz
real*8 :: ltrA,lscale
real*8, dimension(ex(1),ex(2),ex(3)) :: trA,detg
real*8, dimension(ex(1),ex(2),ex(3)) :: gxx,gyy,gzz
real*8, dimension(ex(1),ex(2),ex(3)) :: gupxx,gupxy,gupxz,gupyy,gupyz,gupzz
real*8, parameter :: F1o3 = 1.D0 / 3.D0, ONE = 1.D0, TWO = 2.D0
!~~~~~~>
do k=1,ex(3)
do j=1,ex(2)
do i=1,ex(1)
gxx = dxx + ONE
gyy = dyy + ONE
gzz = dzz + ONE
lgxx = dxx(i,j,k) + ONE
lgyy = dyy(i,j,k) + ONE
lgzz = dzz(i,j,k) + ONE
detg = gxx * gyy * gzz + gxy * gyz * gxz + gxz * gxy * gyz - &
gxz * gyy * gxz - gxy * gxy * gzz - gxx * gyz * gyz
gupxx = ( gyy * gzz - gyz * gyz ) / detg
gupxy = - ( gxy * gzz - gyz * gxz ) / detg
gupxz = ( gxy * gyz - gyy * gxz ) / detg
gupyy = ( gxx * gzz - gxz * gxz ) / detg
gupyz = - ( gxx * gyz - gxy * gxz ) / detg
gupzz = ( gxx * gyy - gxy * gxy ) / detg
ldetg = lgxx * lgyy * lgzz &
+ gxy(i,j,k) * gyz(i,j,k) * gxz(i,j,k) &
+ gxz(i,j,k) * gxy(i,j,k) * gyz(i,j,k) &
- gxz(i,j,k) * lgyy * gxz(i,j,k) &
- gxy(i,j,k) * gxy(i,j,k) * lgzz &
- lgxx * gyz(i,j,k) * gyz(i,j,k)
trA = gupxx * Axx + gupyy * Ayy + gupzz * Azz &
+ TWO * (gupxy * Axy + gupxz * Axz + gupyz * Ayz)
lgupxx = ( lgyy * lgzz - gyz(i,j,k) * gyz(i,j,k) ) / ldetg
lgupxy = - ( gxy(i,j,k) * lgzz - gyz(i,j,k) * gxz(i,j,k) ) / ldetg
lgupxz = ( gxy(i,j,k) * gyz(i,j,k) - lgyy * gxz(i,j,k) ) / ldetg
lgupyy = ( lgxx * lgzz - gxz(i,j,k) * gxz(i,j,k) ) / ldetg
lgupyz = - ( lgxx * gyz(i,j,k) - gxy(i,j,k) * gxz(i,j,k) ) / ldetg
lgupzz = ( lgxx * lgyy - gxy(i,j,k) * gxy(i,j,k) ) / ldetg
Axx = Axx - F1o3 * gxx * trA
Axy = Axy - F1o3 * gxy * trA
Axz = Axz - F1o3 * gxz * trA
Ayy = Ayy - F1o3 * gyy * trA
Ayz = Ayz - F1o3 * gyz * trA
Azz = Azz - F1o3 * gzz * trA
ltrA = lgupxx * Axx(i,j,k) + lgupyy * Ayy(i,j,k) &
+ lgupzz * Azz(i,j,k) &
+ TWO * (lgupxy * Axy(i,j,k) + lgupxz * Axz(i,j,k) &
+ lgupyz * Ayz(i,j,k))
detg = ONE / ( detg ** F1o3 )
Axx(i,j,k) = Axx(i,j,k) - F1o3 * lgxx * ltrA
Axy(i,j,k) = Axy(i,j,k) - F1o3 * gxy(i,j,k) * ltrA
Axz(i,j,k) = Axz(i,j,k) - F1o3 * gxz(i,j,k) * ltrA
Ayy(i,j,k) = Ayy(i,j,k) - F1o3 * lgyy * ltrA
Ayz(i,j,k) = Ayz(i,j,k) - F1o3 * gyz(i,j,k) * ltrA
Azz(i,j,k) = Azz(i,j,k) - F1o3 * lgzz * ltrA
gxx = gxx * detg
gxy = gxy * detg
gxz = gxz * detg
gyy = gyy * detg
gyz = gyz * detg
gzz = gzz * detg
lscale = ONE / ( ldetg ** F1o3 )
dxx(i,j,k) = lgxx * lscale - ONE
gxy(i,j,k) = gxy(i,j,k) * lscale
gxz(i,j,k) = gxz(i,j,k) * lscale
dyy(i,j,k) = lgyy * lscale - ONE
gyz(i,j,k) = gyz(i,j,k) * lscale
dzz(i,j,k) = lgzz * lscale - ONE
enddo
enddo
enddo
dxx = gxx - ONE
dyy = gyy - ONE
dzz = gzz - ONE
return
@@ -95,70 +83,50 @@
!~~~~~~~> Local variable:
integer :: i,j,k
real*8 :: lgxx,lgyy,lgzz,lscale
real*8 :: lgxy,lgxz,lgyz
real*8 :: lgupxx,lgupxy,lgupxz,lgupyy,lgupyz,lgupzz
real*8 :: ltrA
real*8, dimension(ex(1),ex(2),ex(3)) :: trA
real*8, dimension(ex(1),ex(2),ex(3)) :: gxx,gyy,gzz
real*8, dimension(ex(1),ex(2),ex(3)) :: gupxx,gupxy,gupxz,gupyy,gupyz,gupzz
real*8, parameter :: F1o3 = 1.D0 / 3.D0, ONE = 1.D0, TWO = 2.D0
!~~~~~~>
do k=1,ex(3)
do j=1,ex(2)
do i=1,ex(1)
gxx = dxx + ONE
gyy = dyy + ONE
gzz = dzz + ONE
! for g
gupzz = gxx * gyy * gzz + gxy * gyz * gxz + gxz * gxy * gyz - &
gxz * gyy * gxz - gxy * gxy * gzz - gxx * gyz * gyz
! for g: normalize determinant first
lgxx = dxx(i,j,k) + ONE
lgyy = dyy(i,j,k) + ONE
lgzz = dzz(i,j,k) + ONE
lgxy = gxy(i,j,k)
lgxz = gxz(i,j,k)
lgyz = gyz(i,j,k)
gupzz = ONE / ( gupzz ** F1o3 )
lscale = lgxx * lgyy * lgzz + lgxy * lgyz * lgxz &
+ lgxz * lgxy * lgyz - lgxz * lgyy * lgxz &
- lgxy * lgxy * lgzz - lgxx * lgyz * lgyz
gxx = gxx * gupzz
gxy = gxy * gupzz
gxz = gxz * gupzz
gyy = gyy * gupzz
gyz = gyz * gupzz
gzz = gzz * gupzz
lscale = ONE / ( lscale ** F1o3 )
dxx = gxx - ONE
dyy = gyy - ONE
dzz = gzz - ONE
! for A
lgxx = lgxx * lscale
lgxy = lgxy * lscale
lgxz = lgxz * lscale
lgyy = lgyy * lscale
lgyz = lgyz * lscale
lgzz = lgzz * lscale
gupxx = ( gyy * gzz - gyz * gyz )
gupxy = - ( gxy * gzz - gyz * gxz )
gupxz = ( gxy * gyz - gyy * gxz )
gupyy = ( gxx * gzz - gxz * gxz )
gupyz = - ( gxx * gyz - gxy * gxz )
gupzz = ( gxx * gyy - gxy * gxy )
dxx(i,j,k) = lgxx - ONE
gxy(i,j,k) = lgxy
gxz(i,j,k) = lgxz
dyy(i,j,k) = lgyy - ONE
gyz(i,j,k) = lgyz
dzz(i,j,k) = lgzz - ONE
trA = gupxx * Axx + gupyy * Ayy + gupzz * Azz &
+ TWO * (gupxy * Axy + gupxz * Axz + gupyz * Ayz)
! for A: trace-free using normalized metric (det=1, no division needed)
lgupxx = ( lgyy * lgzz - lgyz * lgyz )
lgupxy = - ( lgxy * lgzz - lgyz * lgxz )
lgupxz = ( lgxy * lgyz - lgyy * lgxz )
lgupyy = ( lgxx * lgzz - lgxz * lgxz )
lgupyz = - ( lgxx * lgyz - lgxy * lgxz )
lgupzz = ( lgxx * lgyy - lgxy * lgxy )
ltrA = lgupxx * Axx(i,j,k) + lgupyy * Ayy(i,j,k) &
+ lgupzz * Azz(i,j,k) &
+ TWO * (lgupxy * Axy(i,j,k) + lgupxz * Axz(i,j,k) &
+ lgupyz * Ayz(i,j,k))
Axx(i,j,k) = Axx(i,j,k) - F1o3 * lgxx * ltrA
Axy(i,j,k) = Axy(i,j,k) - F1o3 * lgxy * ltrA
Axz(i,j,k) = Axz(i,j,k) - F1o3 * lgxz * ltrA
Ayy(i,j,k) = Ayy(i,j,k) - F1o3 * lgyy * ltrA
Ayz(i,j,k) = Ayz(i,j,k) - F1o3 * lgyz * ltrA
Azz(i,j,k) = Azz(i,j,k) - F1o3 * lgzz * ltrA
enddo
enddo
enddo
Axx = Axx - F1o3 * gxx * trA
Axy = Axy - F1o3 * gxy * trA
Axz = Axz - F1o3 * gxz * trA
Ayy = Ayy - F1o3 * gyy * trA
Ayz = Ayz - F1o3 * gyz * trA
Azz = Azz - F1o3 * gzz * trA
return

View File

@@ -324,9 +324,9 @@ subroutine symmetry_bd(ord,extc,func,funcc,SoA)
integer::i
funcc = 0.d0
funcc(1:extc(1),1:extc(2),1:extc(3)) = func
do i=0,ord-1
funcc(-i,1:extc(2),1:extc(3)) = funcc(i+2,1:extc(2),1:extc(3))*SoA(1)
enddo
do i=0,ord-1
@@ -350,6 +350,7 @@ subroutine symmetry_tbd(ord,extc,func,funcc,SoA)
integer::i
funcc = 0.d0
funcc(1:extc(1),1:extc(2),1:extc(3)) = func
do i=0,ord-1
funcc(-i,1:extc(2),1:extc(3)) = funcc(i+2,1:extc(2),1:extc(3))*SoA(1)
@@ -378,6 +379,7 @@ subroutine symmetry_stbd(ord,extc,func,funcc,SoA)
integer::i
funcc = 0.d0
funcc(1:extc(1),1:extc(2),1:extc(3)) = func
do i=0,ord-1
funcc(-i,1:extc(2),1:extc(3)) = funcc(i+2,1:extc(2),1:extc(3))*SoA(1)
@@ -884,6 +886,7 @@ subroutine symmetry_bd(ord,extc,func,funcc,SoA)
integer::i
funcc = 0.d0
funcc(1:extc(1),1:extc(2),1:extc(3)) = func
do i=0,ord-1
funcc(-i,1:extc(2),1:extc(3)) = funcc(i+1,1:extc(2),1:extc(3))*SoA(1)
@@ -909,6 +912,7 @@ subroutine symmetry_tbd(ord,extc,func,funcc,SoA)
integer::i
funcc = 0.d0
funcc(1:extc(1),1:extc(2),1:extc(3)) = func
do i=0,ord-1
funcc(-i,1:extc(2),1:extc(3)) = funcc(i+1,1:extc(2),1:extc(3))*SoA(1)
@@ -937,6 +941,7 @@ subroutine symmetry_stbd(ord,extc,func,funcc,SoA)
integer::i
funcc = 0.d0
funcc(1:extc(1),1:extc(2),1:extc(3)) = func
do i=0,ord-1
funcc(-i,1:extc(2),1:extc(3)) = funcc(i+1,1:extc(2),1:extc(3))*SoA(1)
@@ -1113,65 +1118,64 @@ end subroutine d2dump
! Lagrangian polynomial interpolation
!------------------------------------------------------------------------------
subroutine polint(xa, ya, x, y, dy, ordn)
subroutine polint(xa,ya,x,y,dy,ordn)
implicit none
integer, intent(in) :: ordn
real*8, dimension(ordn), intent(in) :: xa, ya
!~~~~~~> Input Parameter:
integer,intent(in) :: ordn
real*8, dimension(ordn), intent(in) :: xa,ya
real*8, intent(in) :: x
real*8, intent(out) :: y, dy
real*8, intent(out) :: y,dy
integer :: i, m, ns, n_m
real*8, dimension(ordn) :: c, d, ho
real*8 :: dif, dift, hp, h, den_val
!~~~~~~> Other parameter:
c = ya
d = ya
ho = xa - x
integer :: m,n,ns
real*8, dimension(ordn) :: c,d,den,ho
real*8 :: dif,dift
ns = 1
dif = abs(x - xa(1))
!~~~~~~>
do i = 2, ordn
dift = abs(x - xa(i))
if (dift < dif) then
ns = i
dif = dift
n=ordn
m=ordn
c=ya
d=ya
ho=xa-x
ns=1
dif=abs(x-xa(1))
do m=1,n
dift=abs(x-xa(m))
if(dift < dif) then
ns=m
dif=dift
end if
end do
y = ya(ns)
ns = ns - 1
do m = 1, ordn - 1
n_m = ordn - m
do i = 1, n_m
hp = ho(i)
h = ho(i+m)
den_val = hp - h
if (den_val == 0.0d0) then
y=ya(ns)
ns=ns-1
do m=1,n-1
den(1:n-m)=ho(1:n-m)-ho(1+m:n)
if (any(den(1:n-m) == 0.0))then
write(*,*) 'failure in polint for point',x
write(*,*) 'with input points: ',xa
stop
end if
den_val = (c(i+1) - d(i)) / den_val
d(i) = h * den_val
c(i) = hp * den_val
end do
if (2 * ns < n_m) then
dy = c(ns + 1)
endif
den(1:n-m)=(c(2:n-m+1)-d(1:n-m))/den(1:n-m)
d(1:n-m)=ho(1+m:n)*den(1:n-m)
c(1:n-m)=ho(1:n-m)*den(1:n-m)
if (2*ns < n-m) then
dy=c(ns+1)
else
dy = d(ns)
ns = ns - 1
dy=d(ns)
ns=ns-1
end if
y = y + dy
y=y+dy
end do
return
end subroutine polint
!------------------------------------------------------------------------------
!
@@ -1179,37 +1183,35 @@ end subroutine d2dump
!
!------------------------------------------------------------------------------
subroutine polin2(x1a,x2a,ya,x1,x2,y,dy,ordn)
implicit none
!~~~~~~> Input parameters:
integer,intent(in) :: ordn
real*8, dimension(1:ordn), intent(in) :: x1a,x2a
real*8, dimension(1:ordn,1:ordn), intent(in) :: ya
real*8, intent(in) :: x1,x2
real*8, intent(out) :: y,dy
#ifdef POLINT_LEGACY_ORDER
!~~~~~~> Other parameters:
integer :: i,m
real*8, dimension(ordn) :: ymtmp
real*8, dimension(ordn) :: yntmp
m=size(x1a)
do i=1,m
yntmp=ya(i,:)
call polint(x2a,yntmp,x2,ymtmp(i),dy,ordn)
end do
call polint(x1a,ymtmp,x1,y,dy,ordn)
#else
integer :: j
real*8, dimension(ordn) :: ymtmp
real*8 :: dy_temp
do j=1,ordn
call polint(x1a, ya(:,j), x1, ymtmp(j), dy_temp, ordn)
end do
call polint(x2a, ymtmp, x2, y, dy, ordn)
#endif
call polint(x1a,ymtmp,x1,y,dy,ordn)
return
end subroutine polin2
!------------------------------------------------------------------------------
!
@@ -1217,15 +1219,18 @@ end subroutine d2dump
!
!------------------------------------------------------------------------------
subroutine polin3(x1a,x2a,x3a,ya,x1,x2,x3,y,dy,ordn)
implicit none
!~~~~~~> Input parameters:
integer,intent(in) :: ordn
real*8, dimension(1:ordn), intent(in) :: x1a,x2a,x3a
real*8, dimension(1:ordn,1:ordn,1:ordn), intent(in) :: ya
real*8, intent(in) :: x1,x2,x3
real*8, intent(out) :: y,dy
#ifdef POLINT_LEGACY_ORDER
!~~~~~~> Other parameters:
integer :: i,j,m,n
real*8, dimension(ordn,ordn) :: yatmp
real*8, dimension(ordn) :: ymtmp
@@ -1234,33 +1239,24 @@ end subroutine d2dump
m=size(x1a)
n=size(x2a)
do i=1,m
do j=1,n
yqtmp=ya(i,j,:)
call polint(x3a,yqtmp,x3,yatmp(i,j),dy,ordn)
end do
yntmp=yatmp(i,:)
call polint(x2a,yntmp,x2,ymtmp(i),dy,ordn)
end do
call polint(x1a,ymtmp,x1,y,dy,ordn)
#else
integer :: j, k
real*8, dimension(ordn,ordn) :: yatmp
real*8, dimension(ordn) :: ymtmp
real*8 :: dy_temp
do k=1,ordn
do j=1,ordn
call polint(x1a, ya(:,j,k), x1, yatmp(j,k), dy_temp, ordn)
end do
end do
do k=1,ordn
call polint(x2a, yatmp(:,k), x2, ymtmp(k), dy_temp, ordn)
end do
call polint(x3a, ymtmp, x3, y, dy, ordn)
#endif
call polint(x1a,ymtmp,x1,y,dy,ordn)
return
end subroutine polin3
!--------------------------------------------------------------------------------------
! calculate L2norm

View File

@@ -6,6 +6,101 @@
! Vertex or Cell is distinguished in routine symmetry_bd which locates in
! file "fmisc.f90"
#if (ghost_width == 2)
! second order code
!------------------------------------------------------------------------------------------------------------------------------
!usual type Kreiss-Oliger type numerical dissipation
!We support cell center only
! (D_+D_-)^2 =
! f(i-2) - 4 f(i-1) + 6 f(i) - 4 f(i+1) + f(i+2)
! ------------------------------------------------------
! dx^4
!------------------------------------------------------------------------------------------------------------------------------
! do not add dissipation near boundary
subroutine kodis(ex,X,Y,Z,f,f_rhs,SoA,Symmetry,eps)
implicit none
! argument variables
integer,intent(in) :: Symmetry
integer,dimension(3),intent(in)::ex
real*8, dimension(1:3), intent(in) :: SoA
double precision,intent(in),dimension(ex(1))::X
double precision,intent(in),dimension(ex(2))::Y
double precision,intent(in),dimension(ex(3))::Z
double precision,intent(in),dimension(ex(1),ex(2),ex(3))::f
double precision,intent(inout),dimension(ex(1),ex(2),ex(3))::f_rhs
real*8,intent(in) :: eps
!~~~~~~ other variables
real*8 :: dX,dY,dZ
real*8,dimension(-1:ex(1),-1:ex(2),-1:ex(3)) :: fh
integer :: imin,jmin,kmin,imax,jmax,kmax
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
real*8,parameter :: cof = 1.6d1 ! 2^4
real*8, parameter :: F4=4.d0,F6=6.d0
integer::i,j,k
dX = X(2)-X(1)
dY = Y(2)-Y(1)
dZ = Z(2)-Z(1)
imax = ex(1)
jmax = ex(2)
kmax = ex(3)
imin = 1
jmin = 1
kmin = 1
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -1
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -1
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -1
call symmetry_bd(2,ex,f,fh,SoA)
! f(i-2) - 4 f(i-1) + 6 f(i) - 4 f(i+1) + f(i+2)
! ------------------------------------------------------
! dx^4
! note the sign (-1)^r-1, now r=2
do k=1,ex(3)
do j=1,ex(2)
do i=1,ex(1)
if(i-2 >= imin .and. i+2 <= imax .and. &
j-2 >= jmin .and. j+2 <= jmax .and. &
k-2 >= kmin .and. k+2 <= kmax) then
! x direction
f_rhs(i,j,k) = f_rhs(i,j,k) - eps/dX/cof * ( &
(fh(i-2,j,k)+fh(i+2,j,k)) &
- F4 * (fh(i-1,j,k)+fh(i+1,j,k)) &
+ F6 * fh(i,j,k) )
! y direction
f_rhs(i,j,k) = f_rhs(i,j,k) - eps/dY/cof * ( &
(fh(i,j-2,k)+fh(i,j+2,k)) &
- F4 * (fh(i,j-1,k)+fh(i,j+1,k)) &
+ F6 * fh(i,j,k) )
! z direction
f_rhs(i,j,k) = f_rhs(i,j,k) - eps/dZ/cof * ( &
(fh(i,j,k-2)+fh(i,j,k+2)) &
- F4 * (fh(i,j,k-1)+fh(i,j,k+1)) &
+ F6 * fh(i,j,k) )
endif
enddo
enddo
enddo
return
end subroutine kodis
#elif (ghost_width == 3)
! fourth order code
!---------------------------------------------------------------------------------------------
@@ -61,7 +156,7 @@ integer, parameter :: NO_SYMM=0, OCTANT=2
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -2
if(Symmetry == OCTANT .and. dabs(X(1)) < dX) imin = -2
if(Symmetry == OCTANT .and. dabs(Y(1)) < dY) jmin = -2
!print*,'imin,jmin,kmin=',imin,jmin,kmin
call symmetry_bd(3,ex,f,fh,SoA)
do k=1,ex(3)
@@ -71,7 +166,28 @@ integer, parameter :: NO_SYMM=0, OCTANT=2
if(i-3 >= imin .and. i+3 <= imax .and. &
j-3 >= jmin .and. j+3 <= jmax .and. &
k-3 >= kmin .and. k+3 <= kmax) then
#if 0
! x direction
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/dX/cof * ( &
(fh(i-3,j,k)+fh(i+3,j,k)) - &
SIX*(fh(i-2,j,k)+fh(i+2,j,k)) + &
FIT*(fh(i-1,j,k)+fh(i+1,j,k)) - &
TWT* fh(i,j,k) )
! y direction
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/dY/cof * ( &
(fh(i,j-3,k)+fh(i,j+3,k)) - &
SIX*(fh(i,j-2,k)+fh(i,j+2,k)) + &
FIT*(fh(i,j-1,k)+fh(i,j+1,k)) - &
TWT* fh(i,j,k) )
! z direction
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/dZ/cof * ( &
(fh(i,j,k-3)+fh(i,j,k+3)) - &
SIX*(fh(i,j,k-2)+fh(i,j,k+2)) + &
FIT*(fh(i,j,k-1)+fh(i,j,k+1)) - &
TWT* fh(i,j,k) )
#else
! calculation order if important ?
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/cof *( ( &
(fh(i-3,j,k)+fh(i+3,j,k)) - &
@@ -88,7 +204,7 @@ integer, parameter :: NO_SYMM=0, OCTANT=2
SIX*(fh(i,j,k-2)+fh(i,j,k+2)) + &
FIT*(fh(i,j,k-1)+fh(i,j,k+1)) - &
TWT* fh(i,j,k) )/dZ )
#endif
endif
enddo
@@ -99,6 +215,218 @@ integer, parameter :: NO_SYMM=0, OCTANT=2
end subroutine kodis
#elif (ghost_width == 4)
! sixth order code
!------------------------------------------------------------------------------------------------------------------------------
!usual type Kreiss-Oliger type numerical dissipation
!We support cell center only
! (D_+D_-)^4 =
! f(i-4) - 8 f(i-3) + 28 f(i-2) - 56 f(i-1) + 70 f(i) - 56 f(i+1) + 28 f(i+2) - 8 f(i+3) + f(i+4)
! ----------------------------------------------------------------------------------------------------------
! dx^8
!------------------------------------------------------------------------------------------------------------------------------
! do not add dissipation near boundary
subroutine kodis(ex,X,Y,Z,f,f_rhs,SoA,Symmetry,eps)
implicit none
! argument variables
integer,intent(in) :: Symmetry
integer,dimension(3),intent(in)::ex
real*8, dimension(1:3), intent(in) :: SoA
double precision,intent(in),dimension(ex(1))::X
double precision,intent(in),dimension(ex(2))::Y
double precision,intent(in),dimension(ex(3))::Z
double precision,intent(in),dimension(ex(1),ex(2),ex(3))::f
double precision,intent(inout),dimension(ex(1),ex(2),ex(3))::f_rhs
real*8,intent(in) :: eps
!~~~~~~ other variables
real*8 :: dX,dY,dZ
real*8,dimension(-3:ex(1),-3:ex(2),-3:ex(3)) :: fh
integer :: imin,jmin,kmin,imax,jmax,kmax
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
real*8,parameter :: cof = 2.56d2 ! 2^8
real*8, parameter :: F8=8.d0,F28=2.8d1,F56=5.6d1,F70=7.d1
integer::i,j,k
dX = X(2)-X(1)
dY = Y(2)-Y(1)
dZ = Z(2)-Z(1)
imax = ex(1)
jmax = ex(2)
kmax = ex(3)
imin = 1
jmin = 1
kmin = 1
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -3
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -3
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -3
call symmetry_bd(4,ex,f,fh,SoA)
! f(i-4) - 8 f(i-3) + 28 f(i-2) - 56 f(i-1) + 70 f(i) - 56 f(i+1) + 28 f(i+2) - 8 f(i+3) + f(i+4)
! ----------------------------------------------------------------------------------------------------------
! dx^8
! note the sign (-1)^r-1, now r=4
do k=1,ex(3)
do j=1,ex(2)
do i=1,ex(1)
if(i>imin+3 .and. i < imax-3 .and. &
j>jmin+3 .and. j < jmax-3 .and. &
k>kmin+3 .and. k < kmax-3) then
! x direction
f_rhs(i,j,k) = f_rhs(i,j,k) - eps/dX/cof * ( &
(fh(i-4,j,k)+fh(i+4,j,k)) &
- F8 * (fh(i-3,j,k)+fh(i+3,j,k)) &
+F28 * (fh(i-2,j,k)+fh(i+2,j,k)) &
-F56 * (fh(i-1,j,k)+fh(i+1,j,k)) &
+F70 * fh(i,j,k) )
! y direction
f_rhs(i,j,k) = f_rhs(i,j,k) - eps/dY/cof * ( &
(fh(i,j-4,k)+fh(i,j+4,k)) &
- F8 * (fh(i,j-3,k)+fh(i,j+3,k)) &
+F28 * (fh(i,j-2,k)+fh(i,j+2,k)) &
-F56 * (fh(i,j-1,k)+fh(i,j+1,k)) &
+F70 * fh(i,j,k) )
! z direction
f_rhs(i,j,k) = f_rhs(i,j,k) - eps/dZ/cof * ( &
(fh(i,j,k-4)+fh(i,j,k+4)) &
- F8 * (fh(i,j,k-3)+fh(i,j,k+3)) &
+F28 * (fh(i,j,k-2)+fh(i,j,k+2)) &
-F56 * (fh(i,j,k-1)+fh(i,j,k+1)) &
+F70 * fh(i,j,k) )
endif
enddo
enddo
enddo
return
end subroutine kodis
#elif (ghost_width == 5)
! eighth order code
!------------------------------------------------------------------------------------------------------------------------------
!usual type Kreiss-Oliger type numerical dissipation
!We support cell center only
! Note the notation D_+ and D_- [P240 of B. Gustafsson, H.-O. Kreiss, and J. Oliger, Time
! Dependent Problems and Difference Methods (Wiley, New York, 1995).]
! D_+ = (f(i+1) - f(i))/h
! D_- = (f(i) - f(i-1))/h
! then we have D_+D_- = D_-D_+ = (f(i+1) - 2f(i) + f(i-1))/h^2
! for nth order accurate finite difference code, we need r =n/2+1
! D_+^rD_-^r = (D_+D_-)^r
! following the tradiation of PRD 77, 024027 (BB's calibration paper, Eq.(64),
! correct some typo according to above book) :
! + eps*(-1)^(r-1)*h^(2r-1)/2^(2r)*(D_+D_-)^r
!
!
! this is for 8th order accurate finite difference scheme
! (D_+D_-)^5 =
! f(i-5) - 10 f(i-4) + 45 f(i-3) - 120 f(i-2) + 210 f(i-1) - 252 f(i) + 210 f(i+1) - 120 f(i+2) + 45 f(i+3) - 10 f(i+4) + f(i+5)
! -------------------------------------------------------------------------------------------------------------------------------
! dx^10
!---------------------------------------------------------------------------------------------------------------------------------
! do not add dissipation near boundary
subroutine kodis(ex,X,Y,Z,f,f_rhs,SoA,Symmetry,eps)
implicit none
! argument variables
integer,intent(in) :: Symmetry
integer,dimension(3),intent(in)::ex
real*8, dimension(1:3), intent(in) :: SoA
double precision,intent(in),dimension(ex(1))::X
double precision,intent(in),dimension(ex(2))::Y
double precision,intent(in),dimension(ex(3))::Z
double precision,intent(in),dimension(ex(1),ex(2),ex(3))::f
double precision,intent(inout),dimension(ex(1),ex(2),ex(3))::f_rhs
real*8,intent(in) :: eps
!~~~~~~ other variables
real*8 :: dX,dY,dZ
real*8,dimension(-4:ex(1),-4:ex(2),-4:ex(3)) :: fh
integer :: imin,jmin,kmin,imax,jmax,kmax
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
real*8,parameter :: cof = 1.024d3 ! 2^2r = 2^10
real*8, parameter :: F10=1.d1,F45=4.5d1,F120=1.2d2,F210=2.1d2,F252=2.52d2
integer::i,j,k
dX = X(2)-X(1)
dY = Y(2)-Y(1)
dZ = Z(2)-Z(1)
imax = ex(1)
jmax = ex(2)
kmax = ex(3)
imin = 1
jmin = 1
kmin = 1
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -4
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -4
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -4
call symmetry_bd(5,ex,f,fh,SoA)
! f(i-5) - 10 f(i-4) + 45 f(i-3) - 120 f(i-2) + 210 f(i-1) - 252 f(i) + 210 f(i+1) - 120 f(i+2) + 45 f(i+3) - 10 f(i+4) + f(i+5)
! -------------------------------------------------------------------------------------------------------------------------------
! dx^10
! note the sign (-1)^r-1, now r=5
do k=1,ex(3)
do j=1,ex(2)
do i=1,ex(1)
if(i>imin+4 .and. i < imax-4 .and. &
j>jmin+4 .and. j < jmax-4 .and. &
k>kmin+4 .and. k < kmax-4) then
! x direction
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/dX/cof * ( &
(fh(i-5,j,k)+fh(i+5,j,k)) &
- F10 * (fh(i-4,j,k)+fh(i+4,j,k)) &
+ F45 * (fh(i-3,j,k)+fh(i+3,j,k)) &
- F120* (fh(i-2,j,k)+fh(i+2,j,k)) &
+ F210* (fh(i-1,j,k)+fh(i+1,j,k)) &
- F252 * fh(i,j,k) )
! y direction
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/dY/cof * ( &
(fh(i,j-5,k)+fh(i,j+5,k)) &
- F10 * (fh(i,j-4,k)+fh(i,j+4,k)) &
+ F45 * (fh(i,j-3,k)+fh(i,j+3,k)) &
- F120* (fh(i,j-2,k)+fh(i,j+2,k)) &
+ F210* (fh(i,j-1,k)+fh(i,j+1,k)) &
- F252 * fh(i,j,k) )
! z direction
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/dZ/cof * ( &
(fh(i,j,k-5)+fh(i,j,k+5)) &
- F10 * (fh(i,j,k-4)+fh(i,j,k+4)) &
+ F45 * (fh(i,j,k-3)+fh(i,j,k+3)) &
- F120* (fh(i,j,k-2)+fh(i,j,k+2)) &
+ F210* (fh(i,j,k-1)+fh(i,j,k+1)) &
- F252 * fh(i,j,k) )
endif
enddo
enddo
enddo
return
end subroutine kodis
#endif

View File

@@ -7,7 +7,163 @@
! Vertex or Cell is distinguished in routine symmetry_bd which locates in
! file "fmisc.f90"
#if (ghost_width == 2)
! second order code
!-----------------------------------------------------------------------------
! v
! D f = ------[ - 3 f + 4 f - f ]
! i 2dx i i+v i+2v
!
! where
!
! i
! |B |
! v = -----
! i
! B
!
!-----------------------------------------------------------------------------
subroutine lopsided(ex,X,Y,Z,f,f_rhs,Sfx,Sfy,Sfz,Symmetry,SoA)
implicit none
!~~~~~~> Input parameters:
integer, intent(in) :: ex(1:3),Symmetry
real*8, intent(in) :: X(1:ex(1)),Y(1:ex(2)),Z(1:ex(3))
real*8,dimension(ex(1),ex(2),ex(3)),intent(in) :: f,Sfx,Sfy,Sfz
real*8,dimension(ex(1),ex(2),ex(3)),intent(inout):: f_rhs
real*8,dimension(3),intent(in) ::SoA
!~~~~~~> local variables:
! note index -1,0, so we have 2 extra points
real*8,dimension(-1:ex(1),-1:ex(2),-1:ex(3)) :: fh
integer :: imin,jmin,kmin,imax,jmax,kmax,i,j,k
real*8 :: dX,dY,dZ
real*8 :: d2dx,d2dy,d2dz
real*8, parameter :: ZEO=0.d0,ONE=1.d0,TWO=2.d0,THR=3.d0,FOUR=4.d0
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
dX = X(2)-X(1)
dY = Y(2)-Y(1)
dZ = Z(2)-Z(1)
d2dx = ONE/TWO/dX
d2dy = ONE/TWO/dY
d2dz = ONE/TWO/dZ
imax = ex(1)
jmax = ex(2)
kmax = ex(3)
imin = 1
jmin = 1
kmin = 1
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -1
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -1
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -1
call symmetry_bd(2,ex,f,fh,SoA)
! upper bound set ex-1 only for efficiency,
! the loop body will set ex 0 also
do k=1,ex(3)-1
do j=1,ex(2)-1
do i=1,ex(1)-1
! x direction
if(Sfx(i,j,k) >= ZEO)then
if( i+2 <= imax .and. i >= imin)then
! v
! D f = ------[ - 3 f + 4 f - f ]
! i 2dx i i+v i+2v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d2dx*(-THR*fh(i,j,k)+FOUR*fh(i+1,j,k)-fh(i+2,j,k))
elseif(i+1 <= imax .and. i >= imin)then
! v
! D f = ------[ - f + f ]
! i dx i i+v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d2dx*(-fh(i,j,k)+fh(i+1,j,k))
endif
elseif(Sfx(i,j,k) <= ZEO)then
if( i-2 >= imin .and. i <= imax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfx(i,j,k)*d2dx*(-THR*fh(i,j,k)+FOUR*fh(i-1,j,k)-fh(i-2,j,k))
elseif(i-1 >= imin .and. i <= imax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfx(i,j,k)*d2dx*(-fh(i,j,k)+fh(i-1,j,k))
endif
! set imax and imin 0
endif
! y direction
if(Sfy(i,j,k) >= ZEO)then
if( j+2 <= jmax .and. j >= jmin)then
! v
! D f = ------[ - 3 f + 4 f - f ]
! i 2dx i i+v i+2v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d2dy*(-THR*fh(i,j,k)+FOUR*fh(i,j+1,k)-fh(i,j+2,k))
elseif(j+1 <= jmax .and. j >= jmin)then
! v
! D f = ------[ - f + f ]
! i dx i i+v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d2dy*(-fh(i,j,k)+fh(i,j+1,k))
endif
elseif(Sfy(i,j,k) <= ZEO)then
if( j-2 >= jmin .and. j <= jmax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfy(i,j,k)*d2dy*(-THR*fh(i,j,k)+FOUR*fh(i,j-1,k)-fh(i,j-2,k))
elseif(j-1 >= jmin .and. j <= jmax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfy(i,j,k)*d2dy*(-fh(i,j,k)+fh(i,j-1,k))
endif
! set jmin and jmax 0
endif
!! z direction
if(Sfz(i,j,k) >= ZEO)then
if( k+2 <= kmax .and. k >= kmin)then
! v
! D f = ------[ - 3 f + 4 f - f ]
! i 2dx i i+v i+2v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d2dz*(-THR*fh(i,j,k)+FOUR*fh(i,j,k+1)-fh(i,j,k+2))
elseif(k+1 <= kmax .and. k >= kmin)then
! v
! D f = ------[ - f + f ]
! i dx i i+v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d2dz*(-fh(i,j,k)+fh(i,j,k+1))
endif
elseif(Sfz(i,j,k) <= ZEO)then
if( k-2 >= kmin .and. k <= kmax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfz(i,j,k)*d2dz*(-THR*fh(i,j,k)+FOUR*fh(i,j,k-1)-fh(i,j,k-2))
elseif(k-1 >= kmin .and. k <= kmax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfz(i,j,k)*d2dz*(-fh(i,j,k)+fh(i,j,k-1))
endif
! set kmin and kmax 0
endif
enddo
enddo
enddo
return
end subroutine lopsided
#elif (ghost_width == 3)
! fourth order code
!-----------------------------------------------------------------------------
@@ -80,7 +236,89 @@ subroutine lopsided(ex,X,Y,Z,f,f_rhs,Sfx,Sfy,Sfz,Symmetry,SoA)
do k=1,ex(3)-1
do j=1,ex(2)-1
do i=1,ex(1)-1
#if 0
!! old code
! x direction
if(Sfx(i,j,k) >= ZEO .and. i+3 <= imax .and. i-1 >= imin)then
! v
! D f = ------[ - 3f - 10f + 18f - 6f + f ]
! i 12dx i-v i i+v i+2v i+3v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d12dx*(-F3*fh(i-1,j,k)-F10*fh(i,j,k)+F18*fh(i+1,j,k) &
-F6*fh(i+2,j,k)+ fh(i+3,j,k))
elseif(Sfx(i,j,k) <= ZEO .and. i-3 >= imin .and. i+1 <= imax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfx(i,j,k)*d12dx*(-F3*fh(i+1,j,k)-F10*fh(i,j,k)+F18*fh(i-1,j,k) &
-F6*fh(i-2,j,k)+ fh(i-3,j,k))
elseif(i+2 <= imax .and. i-2 >= imin)then
!
! f(i-2) - 8 f(i-1) + 8 f(i+1) - f(i+2)
! fx(i) = ---------------------------------------------
! 12 dx
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d12dx*(fh(i-2,j,k)-EIT*fh(i-1,j,k)+EIT*fh(i+1,j,k)-fh(i+2,j,k))
elseif(i+1 <= imax .and. i-1 >= imin)then
!
! - f(i-1) + f(i+1)
! fx(i) = --------------------------------
! 2 dx
f_rhs(i,j,k)=f_rhs(i,j,k) + Sfx(i,j,k)*d2dx*(-fh(i-1,j,k)+fh(i+1,j,k))
! set imax and imin 0
endif
! y direction
if(Sfy(i,j,k) >= ZEO .and. j+3 <= jmax .and. j-1 >= jmin)then
! v
! D f = ------[ - 3f - 10f + 18f - 6f + f ]
! i 12dx i-v i i+v i+2v i+3v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d12dy*(-F3*fh(i,j-1,k)-F10*fh(i,j,k)+F18*fh(i,j+1,k) &
-F6*fh(i,j+2,k)+ fh(i,j+3,k))
elseif(Sfy(i,j,k) <= ZEO .and. j-3 >= jmin .and. j+1 <= jmax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfy(i,j,k)*d12dy*(-F3*fh(i,j+1,k)-F10*fh(i,j,k)+F18*fh(i,j-1,k) &
-F6*fh(i,j-2,k)+ fh(i,j-3,k))
elseif(j+2 <= jmax .and. j-2 >= jmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d12dy*(fh(i,j-2,k)-EIT*fh(i,j-1,k)+EIT*fh(i,j+1,k)-fh(i,j+2,k))
elseif(j+1 <= jmax .and. j-1 >= jmin)then
f_rhs(i,j,k)=f_rhs(i,j,k) + Sfy(i,j,k)*d2dy*(-fh(i,j-1,k)+fh(i,j+1,k))
! set jmin and jmax 0
endif
!! z direction
if(Sfz(i,j,k) >= ZEO .and. k+3 <= kmax .and. k-1 >= kmin)then
! v
! D f = ------[ - 3f - 10f + 18f - 6f + f ]
! i 12dx i-v i i+v i+2v i+3v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d12dz*(-F3*fh(i,j,k-1)-F10*fh(i,j,k)+F18*fh(i,j,k+1) &
-F6*fh(i,j,k+2)+ fh(i,j,k+3))
elseif(Sfz(i,j,k) <= ZEO .and. k-3 >= kmin .and. k+1 <= kmax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfz(i,j,k)*d12dz*(-F3*fh(i,j,k+1)-F10*fh(i,j,k)+F18*fh(i,j,k-1) &
-F6*fh(i,j,k-2)+ fh(i,j,k-3))
elseif(k+2 <= kmax .and. k-2 >= kmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d12dz*(fh(i,j,k-2)-EIT*fh(i,j,k-1)+EIT*fh(i,j,k+1)-fh(i,j,k+2))
elseif(k+1 <= kmax .and. k-1 >= kmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+Sfz(i,j,k)*d2dz*(-fh(i,j,k-1)+fh(i,j,k+1))
! set kmin and kmax 0
endif
#else
!! new code, 2012dec27, based on bam
! x direction
if(Sfx(i,j,k) > ZEO)then
@@ -240,6 +478,7 @@ subroutine lopsided(ex,X,Y,Z,f,f_rhs,Sfx,Sfy,Sfz,Symmetry,SoA)
! set kmax and kmin 0
endif
endif
#endif
enddo
enddo
enddo
@@ -247,3 +486,417 @@ subroutine lopsided(ex,X,Y,Z,f,f_rhs,Sfx,Sfy,Sfz,Symmetry,SoA)
return
end subroutine lopsided
#elif (ghost_width == 4)
! sixth order code
! Compute advection terms in right hand sides of field equations
! v
! D f = ------[ 2f - 24f - 35f + 80f - 30f + 8f - f ]
! i 60dx i-2v i-v i i+v i+2v i+3v i+4v
!
! where
!
! i
! |B |
! v = -----
! i
! B
!
!-----------------------------------------------------------------------------
subroutine lopsided(ex,X,Y,Z,f,f_rhs,Sfx,Sfy,Sfz,Symmetry,SoA)
implicit none
!~~~~~~> Input parameters:
integer, intent(in) :: ex(1:3),Symmetry
real*8, intent(in) :: X(1:ex(1)),Y(1:ex(2)),Z(1:ex(3))
real*8,dimension(ex(1),ex(2),ex(3)),intent(in) :: f,Sfx,Sfy,Sfz
real*8,dimension(ex(1),ex(2),ex(3)),intent(inout):: f_rhs
real*8,dimension(3),intent(in) ::SoA
!~~~~~~> local variables:
real*8,dimension(-3:ex(1),-3:ex(2),-3:ex(3)) :: fh
integer :: imin,jmin,kmin,imax,jmax,kmax,i,j,k
real*8 :: dX,dY,dZ
real*8 :: d60dx,d60dy,d60dz,d12dx,d12dy,d12dz,d2dx,d2dy,d2dz
real*8, parameter :: ZEO=0.d0,ONE=1.d0, F60=6.d1
real*8, parameter :: TWO=2.d0,F24=2.4d1,F35=3.5d1,F80=8.d1,F30=3.d1,EIT=8.d0
real*8, parameter :: F9=9.d0,F45=4.5d1,F12=1.2d1
real*8, parameter :: F10=1.d1,F77=7.7d1,F150=1.5d2,F100=1.d2,F50=5.d1,F15=1.5d1
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
dX = X(2)-X(1)
dY = Y(2)-Y(1)
dZ = Z(2)-Z(1)
d60dx = ONE/F60/dX
d60dy = ONE/F60/dY
d60dz = ONE/F60/dZ
d12dx = ONE/F12/dX
d12dy = ONE/F12/dY
d12dz = ONE/F12/dZ
d2dx = ONE/TWO/dX
d2dy = ONE/TWO/dY
d2dz = ONE/TWO/dZ
imax = ex(1)
jmax = ex(2)
kmax = ex(3)
imin = 1
jmin = 1
kmin = 1
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -3
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -3
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -3
call symmetry_bd(4,ex,f,fh,SoA)
! upper bound set ex-1 only for efficiency,
! the loop body will set ex 0 also
do k=1,ex(3)-1
do j=1,ex(2)-1
do i=1,ex(1)-1
! x direction
if(Sfx(i,j,k) >= ZEO .and. i+4 <= imax .and. i-2 >= imin)then
! v
! D f = ------[ 2f - 24f - 35f + 80f - 30f + 8f - f ]
! i 60dx i-2v i-v i i+v i+2v i+3v i+4v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d60dx*(TWO*fh(i-2,j,k)-F24*fh(i-1,j,k)-F35*fh(i,j,k)+F80*fh(i+1,j,k) &
-F30*fh(i+2,j,k)+EIT*fh(i+3,j,k)- fh(i+4,j,k))
elseif(Sfx(i,j,k) >= ZEO .and. i+5 <= imax .and. i-1 >= imin)then
! v
! D f = ------[-10f - 77f + 150f - 100f + 50f -15f + 2f ]
! i 60dx i-v i i+v i+2v i+3v i+4v i+5v
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d60dx*(-F10*fh(i-1,j,k)-F77*fh(i ,j,k)+F150*fh(i+1,j,k)-F100*fh(i+2,j,k) &
+F50*fh(i+3,j,k)-F15*fh(i+4,j,k)+ TWO*fh(i+5,j,k))
elseif(Sfx(i,j,k) <= ZEO .and. i-4 >= imin .and. i+2 <= imax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfx(i,j,k)*d60dx*(TWO*fh(i+2,j,k)-F24*fh(i+1,j,k)-F35*fh(i,j,k)+F80*fh(i-1,j,k) &
-F30*fh(i-2,j,k)+EIT*fh(i-3,j,k)- fh(i-4,j,k))
elseif(Sfx(i,j,k) <= ZEO .and. i-5 >= imin .and. i+1 <= imax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfx(i,j,k)*d60dx*(-F10*fh(i+1,j,k)-F77*fh(i ,j,k)+F150*fh(i-1,j,k)-F100*fh(i-2,j,k) &
+F50*fh(i-3,j,k)-F15*fh(i-4,j,k)+ TWO*fh(i-5,j,k))
elseif(i+3 <= imax .and. i-3 >= imin)then
! - f(i-3) + 9 f(i-2) - 45 f(i-1) + 45 f(i+1) - 9 f(i+2) + f(i+3)
! fx(i) = -----------------------------------------------------------------
! 60 dx
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d60dx*(-fh(i-3,j,k)+F9*fh(i-2,j,k)-F45*fh(i-1,j,k)+F45*fh(i+1,j,k)-F9*fh(i+2,j,k)+fh(i+3,j,k))
elseif(i+2 <= imax .and. i-2 >= imin)then
!
! f(i-2) - 8 f(i-1) + 8 f(i+1) - f(i+2)
! fx(i) = ---------------------------------------------
! 12 dx
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d12dx*(fh(i-2,j,k)-EIT*fh(i-1,j,k)+EIT*fh(i+1,j,k)-fh(i+2,j,k))
elseif(i+1 <= imax .and. i-1 >= imin)then
!
! - f(i-1) + f(i+1)
! fx(i) = --------------------------------
! 2 dx
f_rhs(i,j,k)=f_rhs(i,j,k) + Sfx(i,j,k)*d2dx*(-fh(i-1,j,k)+fh(i+1,j,k))
! set imax and imin 0
endif
! y direction
if(Sfy(i,j,k) >= ZEO .and. j+4 <= jmax .and. j-2 >= jmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d60dy*(TWO*fh(i,j-2,k)-F24*fh(i,j-1,k)-F35*fh(i,j,k)+F80*fh(i,j+1,k) &
-F30*fh(i,j+2,k)+EIT*fh(i,j+3,k)- fh(i,j+4,k))
elseif(Sfy(i,j,k) >= ZEO .and. j+5 <= jmax .and. j-1 >= jmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d60dy*(-F10*fh(i,j-1,k)-F77*fh(i,j ,k)+F150*fh(i,j+1,k)-F100*fh(i,j+2,k) &
+F50*fh(i,j+3,k)-F15*fh(i,j+4,k)+ TWO*fh(i,j+5,k))
elseif(Sfy(i,j,k) <= ZEO .and. j-4 >= jmin .and. j+2 <= jmax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfy(i,j,k)*d60dy*(TWO*fh(i,j+2,k)-F24*fh(i,j+1,k)-F35*fh(i,j,k)+F80*fh(i,j-1,k) &
-F30*fh(i,j-2,k)+EIT*fh(i,j-3,k)- fh(i,j-4,k))
elseif(Sfy(i,j,k) <= ZEO .and. j-5 >= jmin .and. j+1 <= jmax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfy(i,j,k)*d60dy*(-F10*fh(i,j+1,k)-F77*fh(i,j ,k)+F150*fh(i,j-1,k)-F100*fh(i,j-2,k) &
+F50*fh(i,j-3,k)-F15*fh(i,j-4,k)+ TWO*fh(i,j-5,k))
elseif(j+3 <= jmax .and. j-3 >= jmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d60dy*(-fh(i,j-3,k)+F9*fh(i,j-2,k)-F45*fh(i,j-1,k)+F45*fh(i,j+1,k)-F9*fh(i,j+2,k)+fh(i,j+3,k))
elseif(j+2 <= jmax .and. j-2 >= jmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d12dy*(fh(i,j-2,k)-EIT*fh(i,j-1,k)+EIT*fh(i,j+1,k)-fh(i,j+2,k))
elseif(j+1 <= jmax .and. j-1 >= jmin)then
f_rhs(i,j,k)=f_rhs(i,j,k) + Sfy(i,j,k)*d2dy*(-fh(i,j-1,k)+fh(i,j+1,k))
! set jmin and jmax 0
endif
!! z direction
if(Sfz(i,j,k) >= ZEO .and. k+4 <= kmax .and. k-2 >= kmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d60dz*(TWO*fh(i,j,k-2)-F24*fh(i,j,k-1)-F35*fh(i,j,k)+F80*fh(i,j,k+1) &
-F30*fh(i,j,k+2)+EIT*fh(i,j,k+3)- fh(i,j,k+4))
elseif(Sfz(i,j,k) >= ZEO .and. k+5 <= kmax .and. k-1 >= kmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d60dz*(-F10*fh(i,j,k-1)-F77*fh(i,j,k )+F150*fh(i,j,k+1)-F100*fh(i,j,k+2) &
+F50*fh(i,j,k+3)-F15*fh(i,j,k+4)+ TWO*fh(i,j,k+5))
elseif(Sfz(i,j,k) <= ZEO .and. k-4 >= kmin .and. k+2 <= kmax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfz(i,j,k)*d60dz*(TWO*fh(i,j,k+2)-F24*fh(i,j,k+1)-F35*fh(i,j,k)+F80*fh(i,j,k-1) &
-F30*fh(i,j,k-2)+EIT*fh(i,j,k-3)- fh(i,j,k-4))
elseif(Sfz(i,j,k) <= ZEO .and. k-5 >= kmin .and. k+1 <= kmax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfz(i,j,k)*d60dz*(-F10*fh(i,j,k+1)-F77*fh(i,j,k )+F150*fh(i,j,k-1)-F100*fh(i,j,k-2) &
+F50*fh(i,j,k-3)-F15*fh(i,j,k-4)+ TWO*fh(i,j,k-5))
elseif(k+3 <= kmax .and. k-3 >= kmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d60dz*(-fh(i,j,k-3)+F9*fh(i,j,k-2)-F45*fh(i,j,k-1)+F45*fh(i,j,k+1)-F9*fh(i,j,k+2)+fh(i,j,k+3))
elseif(k+2 <= kmax .and. k-2 >= kmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d12dz*(fh(i,j,k-2)-EIT*fh(i,j,k-1)+EIT*fh(i,j,k+1)-fh(i,j,k+2))
elseif(k+1 <= kmax .and. k-1 >= kmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+Sfz(i,j,k)*d2dz*(-fh(i,j,k-1)+fh(i,j,k+1))
! set kmin and kmax 0
endif
enddo
enddo
enddo
return
end subroutine lopsided
#elif (ghost_width == 5)
! eighth order code
!-----------------------------------------------------------------------------
! PRD 77, 024034 (2008)
! Compute advection terms in right hand sides of field equations
! v [ - 5 f(i-3v) + 60 f(i-2v) - 420 f(i-v) - 378 f(i) + 1050 f(i+v) - 420 f(i+2v) + 140 f(i+3v) - 30 f(i+4v) + 3 f(i+5v)]
! D f = --------------------------------------------------------------------------------------------------------------------------
! i 840 dx
!
! where
!
! i
! |B |
! v = -----
! i
! B
!
!-----------------------------------------------------------------------------
subroutine lopsided(ex,X,Y,Z,f,f_rhs,Sfx,Sfy,Sfz,Symmetry,SoA)
implicit none
!~~~~~~> Input parameters:
integer, intent(in) :: ex(1:3),Symmetry
real*8, intent(in) :: X(1:ex(1)),Y(1:ex(2)),Z(1:ex(3))
real*8,dimension(ex(1),ex(2),ex(3)),intent(in) :: f,Sfx,Sfy,Sfz
real*8,dimension(ex(1),ex(2),ex(3)),intent(inout):: f_rhs
real*8,dimension(3),intent(in) ::SoA
!~~~~~~> local variables:
real*8,dimension(-4:ex(1),-4:ex(2),-4:ex(3)) :: fh
integer :: imin,jmin,kmin,imax,jmax,kmax,i,j,k
real*8 :: dX,dY,dZ
real*8 :: d840dx,d840dy,d840dz,d60dx,d60dy,d60dz,d12dx,d12dy,d12dz,d2dx,d2dy,d2dz
real*8, parameter :: ZEO=0.d0,ONE=1.d0, F60=6.d1
real*8, parameter :: TWO=2.d0,F30=3.d1,EIT=8.d0
real*8, parameter :: F9=9.d0,F45=4.5d1,F12=1.2d1,F140=1.4d2,THR=3.d0
real*8, parameter :: F840=8.4d2,F5=5.d0,F420=4.2d2,F378=3.78d2,F1050=1.05d3
real*8, parameter :: F32=3.2d1,F168=1.68d2,F672=6.72d2
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
dX = X(2)-X(1)
dY = Y(2)-Y(1)
dZ = Z(2)-Z(1)
d840dx = ONE/F840/dX
d840dy = ONE/F840/dY
d840dz = ONE/F840/dZ
d60dx = ONE/F60/dX
d60dy = ONE/F60/dY
d60dz = ONE/F60/dZ
d12dx = ONE/F12/dX
d12dy = ONE/F12/dY
d12dz = ONE/F12/dZ
d2dx = ONE/TWO/dX
d2dy = ONE/TWO/dY
d2dz = ONE/TWO/dZ
imax = ex(1)
jmax = ex(2)
kmax = ex(3)
imin = 1
jmin = 1
kmin = 1
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -4
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -4
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -4
call symmetry_bd(5,ex,f,fh,SoA)
! upper bound set ex-1 only for efficiency,
! the loop body will set ex 0 also
do k=1,ex(3)-1
do j=1,ex(2)-1
do i=1,ex(1)-1
! x direction
if(Sfx(i,j,k) >= ZEO .and. i+5 <= imax .and. i-3 >= imin)then
! v [ - 5 f(i-3v) + 60 f(i-2v) - 420 f(i-v) - 378 f(i) + 1050 f(i+v) - 420 f(i+2v) + 140 f(i+3v) - 30 f(i+4v) + 3 f(i+5v)]
! D f = --------------------------------------------------------------------------------------------------------------------------
! i 840 dx
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d840dx*(-F5*fh(i-3,j,k)+F60 *fh(i-2,j,k)-F420*fh(i-1,j,k)-F378*fh(i ,j,k) &
+F1050*fh(i+1,j,k)-F420*fh(i+2,j,k)+F140*fh(i+3,j,k)-F30 *fh(i+4,j,k)+THR*fh(i+5,j,k))
elseif(Sfx(i,j,k) <= ZEO .and. i-5 >= imin .and. i+3 <= imax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfx(i,j,k)*d840dx*(-F5*fh(i+3,j,k)+F60 *fh(i+2,j,k)-F420*fh(i+1,j,k)-F378*fh(i ,j,k) &
+F1050*fh(i-1,j,k)-F420*fh(i-2,j,k)+F140*fh(i-3,j,k)- F30*fh(i-4,j,k)+THR*fh(i-5,j,k))
elseif(i+4 <= imax .and. i-4 >= imin)then
! 3 f(i-4) - 32 f(i-3) + 168 f(i-2) - 672 f(i-1) + 672 f(i+1) - 168 f(i+2) + 32 f(i+3) - 3 f(i+4)
! fx(i) = -------------------------------------------------------------------------------------------------
! 840 dx
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d840dx*( THR*fh(i-4,j,k)-F32 *fh(i-3,j,k)+F168*fh(i-2,j,k)-F672*fh(i-1,j,k)+ &
F672*fh(i+1,j,k)-F168*fh(i+2,j,k)+F32 *fh(i+3,j,k)-THR *fh(i+4,j,k))
elseif(i+3 <= imax .and. i-3 >= imin)then
! - f(i-3) + 9 f(i-2) - 45 f(i-1) + 45 f(i+1) - 9 f(i+2) + f(i+3)
! fx(i) = -----------------------------------------------------------------
! 60 dx
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d60dx*(-fh(i-3,j,k)+F9*fh(i-2,j,k)-F45*fh(i-1,j,k)+F45*fh(i+1,j,k)-F9*fh(i+2,j,k)+fh(i+3,j,k))
elseif(i+2 <= imax .and. i-2 >= imin)then
!
! f(i-2) - 8 f(i-1) + 8 f(i+1) - f(i+2)
! fx(i) = ---------------------------------------------
! 12 dx
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfx(i,j,k)*d12dx*(fh(i-2,j,k)-EIT*fh(i-1,j,k)+EIT*fh(i+1,j,k)-fh(i+2,j,k))
elseif(i+1 <= imax .and. i-1 >= imin)then
!
! - f(i-1) + f(i+1)
! fx(i) = --------------------------------
! 2 dx
f_rhs(i,j,k)=f_rhs(i,j,k) + Sfx(i,j,k)*d2dx*(-fh(i-1,j,k)+fh(i+1,j,k))
! set imax and imin 0
endif
! y direction
if(Sfy(i,j,k) >= ZEO .and. j+5 <= jmax .and. j-3 >= jmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d840dy*(-F5*fh(i,j-3,k)+F60 *fh(i,j-2,k)-F420*fh(i,j-1,k)-F378*fh(i,j ,k) &
+F1050*fh(i,j+1,k)-F420*fh(i,j+2,k)+F140*fh(i,j+3,k)-F30 *fh(i,j+4,k)+THR*fh(i,j+5,k))
elseif(Sfy(i,j,k) <= ZEO .and. j-5 >= jmin .and. j+3 <= jmax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfy(i,j,k)*d840dy*(-F5*fh(i,j+3,k)+F60 *fh(i,j+2,k)-F420*fh(i,j+1,k)-F378*fh(i,j ,k) &
+F1050*fh(i,j-1,k)-F420*fh(i,j-2,k)+F140*fh(i,j-3,k)- F30*fh(i,j-4,k)+THR*fh(i,j-5,k))
elseif(j+4 <= jmax .and. j-4 >= jmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d840dy*( THR*fh(i,j-4,k)-F32 *fh(i,j-3,k)+F168*fh(i,j-2,k)-F672*fh(i,j-1,k)+ &
F672*fh(i,j+1,k)-F168*fh(i,j+2,k)+F32 *fh(i,j+3,k)-THR *fh(i,j+4,k))
elseif(j+3 <= jmax .and. j-3 >= jmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d60dy*(-fh(i,j-3,k)+F9*fh(i,j-2,k)-F45*fh(i,j-1,k)+F45*fh(i,j+1,k)-F9*fh(i,j+2,k)+fh(i,j+3,k))
elseif(j+2 <= jmax .and. j-2 >= jmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfy(i,j,k)*d12dy*(fh(i,j-2,k)-EIT*fh(i,j-1,k)+EIT*fh(i,j+1,k)-fh(i,j+2,k))
elseif(j+1 <= jmax .and. j-1 >= jmin)then
f_rhs(i,j,k)=f_rhs(i,j,k) + Sfy(i,j,k)*d2dy*(-fh(i,j-1,k)+fh(i,j+1,k))
! set jmin and jmax 0
endif
!! z direction
if(Sfz(i,j,k) >= ZEO .and. k+5 <= kmax .and. k-3 >= kmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d840dz*(-F5*fh(i,j,k-3)+F60 *fh(i,j,k-2)-F420*fh(i,j,k-1)-F378*fh(i,j,k ) &
+F1050*fh(i,j,k+1)-F420*fh(i,j,k+2)+F140*fh(i,j,k+3)-F30 *fh(i,j,k+4)+THR*fh(i,j,k+5))
elseif(Sfz(i,j,k) <= ZEO .and. k-5 >= kmin .and. k+3 <= kmax)then
f_rhs(i,j,k)=f_rhs(i,j,k)- &
Sfz(i,j,k)*d840dz*(-F5*fh(i,j,k+3)+F60 *fh(i,j,k+2)-F420*fh(i,j,k+1)-F378*fh(i,j,k ) &
+F1050*fh(i,j,k-1)-F420*fh(i,j,k-2)+F140*fh(i,j,k-3)- F30*fh(i,j,k-4)+THR*fh(i,j,k-5))
elseif(k+4 <= kmax .and. k-4 >= kmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d840dz*( THR*fh(i,j,k-4)-F32 *fh(i,j,k-3)+F168*fh(i,j,k-2)-F672*fh(i,j,k-1)+ &
F672*fh(i,j,k+1)-F168*fh(i,j,k+2)+F32 *fh(i,j,k+3)-THR *fh(i,j,k+4))
elseif(k+3 <= kmax .and. k-3 >= kmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d60dz*(-fh(i,j,k-3)+F9*fh(i,j,k-2)-F45*fh(i,j,k-1)+F45*fh(i,j,k+1)-F9*fh(i,j,k+2)+fh(i,j,k+3))
elseif(k+2 <= kmax .and. k-2 >= kmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
Sfz(i,j,k)*d12dz*(fh(i,j,k-2)-EIT*fh(i,j,k-1)+EIT*fh(i,j,k+1)-fh(i,j,k+2))
elseif(k+1 <= kmax .and. k-1 >= kmin)then
f_rhs(i,j,k)=f_rhs(i,j,k)+Sfz(i,j,k)*d2dz*(-fh(i,j,k-1)+fh(i,j,k+1))
! set kmin and kmax 0
endif
enddo
enddo
enddo
return
end subroutine lopsided
#endif

View File

@@ -16,12 +16,6 @@ include makefile.inc
.cu.o:
$(Cu) $(CUDA_APP_FLAGS) -c $< -o $@ $(CUDA_LIB_PATH)
TwoPunctures.o: TwoPunctures.C
${CXX} $(CXXAPPFLAGS) -qopenmp -c $< -o $@
TwoPunctureABE.o: TwoPunctureABE.C
${CXX} $(CXXAPPFLAGS) -qopenmp -c $< -o $@
# Input files
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\
@@ -102,7 +96,7 @@ ABEGPU: $(C++FILES_GPU) $(F90FILES) $(F77FILES) $(AHFDOBJS) $(CUDAFILES)
$(CLINKER) $(CXXAPPFLAGS) -o $@ $(C++FILES_GPU) $(F90FILES) $(F77FILES) $(AHFDOBJS) $(CUDAFILES) $(LDLIBS)
TwoPunctureABE: $(TwoPunctureFILES)
$(CLINKER) $(CXXAPPFLAGS) -qopenmp -o $@ $(TwoPunctureFILES) $(LDLIBS)
$(CLINKER) $(CXXAPPFLAGS) -o $@ $(TwoPunctureFILES) $(LDLIBS)
clean:
rm *.o ABE ABEGPU TwoPunctureABE make.log -f

View File

@@ -6,19 +6,34 @@
## Intel oneAPI version with oneMKL (Optimized for performance)
filein = -I/usr/include/ -I${MKLROOT}/include
## Using sequential MKL (OpenMP disabled for better single-threaded performance)
## Added -lifcore for Intel Fortran runtime and -limf for Intel math library
LDLIBS = -L${MKLROOT}/lib -lmkl_intel_lp64 -lmkl_sequential -lmkl_core -lifcore -limf -lpthread -lm -ldl
## Using multi-threaded MKL for better scalability with MPI
## This allows MKL functions (FFT, BLAS, LAPACK) to use multiple threads internally
## while keeping the application code as pure MPI (no OpenMP pragmas in user code)
LDLIBS = -L/usr/lib/x86_64-linux-gnu -L/usr/lib64 -lifcore -limf -lmpi \
-L${MKLROOT}/lib -lmkl_intel_lp64 -lmkl_intel_thread -lmkl_core \
-liomp5 -lpthread -lm -ldl
## Aggressive optimization flags:
## -O3: Maximum optimization
## Aggressive optimization flags for maximum performance:
## -O3: Maximum optimization level
## -xHost: Optimize for the host CPU architecture (Intel/AMD compatible)
## -fp-model fast=2: Aggressive floating-point optimizations
## -fp-model fast=2: Aggressive floating-point optimizations (allows reassociation)
## -fma: Enable fused multiply-add instructions
CXXAPPFLAGS = -O3 -xHost -fp-model fast=2 -fma -ipo \
## -qopt-report=5: Generate detailed optimization reports
## -qopt-report-phase=vec,loop: Report vectorization and loop optimizations
## -march=native: Use all available CPU instructions
## -mtune=native: Tune for the specific CPU
## -funroll-loops: Aggressively unroll loops
## -fno-alias: Assume no pointer aliasing (safe for Fortran arrays)
## -qopt-prefetch: Enable aggressive prefetching
## Note: OpenMP has been disabled (-qopenmp removed) due to performance issues
CXXAPPFLAGS = -O3 -xHost -march=native -mtune=native -fp-model fast=2 -fma \
-qopt-report=5 -qopt-report-phase=vec,loop \
-funroll-loops -fno-alias -qopt-prefetch \
-Dfortran3 -Dnewc -I${MKLROOT}/include
f90appflags = -O3 -xHost -fp-model fast=2 -fma -ipo \
-align array64byte -fpp -I${MKLROOT}/include
f90appflags = -O3 -xHost -march=native -mtune=native -fp-model fast=2 -fma \
-qopt-report=5 -qopt-report-phase=vec,loop \
-funroll-loops -fno-alias -qopt-prefetch \
-fpp -I${MKLROOT}/include
f90 = ifx
f77 = ifx
CXX = icpx

View File

@@ -10,18 +10,25 @@
import AMSS_NCKU_Input as input_data
import subprocess
import time
## CPU core binding configuration using taskset
## taskset ensures all child processes inherit the CPU affinity mask
## This forces make and all compiler processes to use only nohz_full cores (4-55, 60-111)
## Format: taskset -c 4-55,60-111 ensures processes only run on these cores
NUMACTL_CPU_BIND = "taskset -c 0-111"
NUMACTL_CPU_BIND = "taskset -c 4-55,60-111"
## Build parallelism configuration
## Use nohz_full cores (4-55, 60-111) for compilation: 52 + 52 = 104 cores
## Set make -j to utilize available cores for faster builds
BUILD_JOBS = 104
## MKL threading configuration for hybrid MPI+threaded-MKL execution
## Total cores available: 104 (cores 4-55, 60-111)
## MPI processes: configured in AMSS_NCKU_Input.py (typically 48)
## MKL threads per process: 104 / MPI_processes ≈ 2
## This ensures full utilization of available cores
MKL_NUM_THREADS = max(1, 104 // input_data.MPI_processes)
##################################################################
@@ -112,14 +119,20 @@ def run_ABE():
print( )
print( " Running the AMSS-NCKU executable file ABE/ABEGPU " )
print( )
print( f" MPI processes: {input_data.MPI_processes}" )
print( f" MKL threads per process: {MKL_NUM_THREADS}" )
print( f" Total threads: {input_data.MPI_processes * MKL_NUM_THREADS}" )
print( )
## Define the command to run; cast other values to strings as needed
## Set MKL threading environment variables for optimal performance
env_vars = f"export MKL_NUM_THREADS={MKL_NUM_THREADS} && export MKL_DYNAMIC=FALSE && "
if (input_data.GPU_Calculation == "no"):
mpi_command = NUMACTL_CPU_BIND + " mpirun -np " + str(input_data.MPI_processes) + " ./ABE"
mpi_command = env_vars + NUMACTL_CPU_BIND + " 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) + " ./ABEGPU"
mpi_command = env_vars + NUMACTL_CPU_BIND + " mpirun -np " + str(input_data.MPI_processes) + " ./ABEGPU"
mpi_command_outfile = "ABEGPU_out.log"
## Execute the MPI command and stream output
@@ -152,13 +165,14 @@ def run_ABE():
## Run the AMSS-NCKU TwoPuncture program TwoPunctureABE
def run_TwoPunctureABE():
tp_time1=time.time()
print( )
print( " Running the AMSS-NCKU executable file TwoPunctureABE " )
print( )
## Define the command to run
TwoPuncture_command = NUMACTL_CPU_BIND + " ./TwoPunctureABE"
## Define the command to run with MKL threading configuration
env_vars = f"export MKL_NUM_THREADS={MKL_NUM_THREADS} && export MKL_DYNAMIC=FALSE && "
TwoPuncture_command = env_vars + NUMACTL_CPU_BIND + " ./TwoPunctureABE"
TwoPuncture_command_outfile = "TwoPunctureABE_out.log"
## Execute the command with subprocess.Popen and stream output
@@ -179,9 +193,7 @@ def run_TwoPunctureABE():
print( )
print( " The TwoPunctureABE simulation is finished " )
print( )
tp_time2=time.time()
et=tp_time2-tp_time1
print(f"Used time: {et}")
return
##################################################################