diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index 1290ed98787377eea7d54f12d05b94eff0aeaf2f..cfcb6f5d8518eb3783b84880913e02d4bed7000e 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -60,9 +60,11 @@ compatibility_stage:
- echo "Running make with flang version 16 and clang version 16..."
- make clean && BUILDDIR=$PWD/../build_clang16-flang16 CXX="clang++-16 -stdlib=libstdc++ -I/usr/include/c++/12 -I/usr/include/x86_64-linux-gnu/c++/12" FC=flang-new-16 FCFLAGS=-O3 LDFLAGS="-L/usr/lib/llvm-16/lib -L/usr/lib/gcc/x86_64-linux-gnu/12" make -j
- echo "Running make with Intel ifort and Intel icpx..."
- - make clean && PATH=/opt/intel/oneapi/compiler/latest/bin:$PATH BUILDDIR=$PWD/../build_ifort-icpx CXX=icpx FC=ifort FCFLAGS="-O3 -diag-disable=10448" make -j
+ - make clean && LD_LIBRARY_PATH=/opt/intel/oneapi/compiler/2024.1/lib PATH=/opt/intel/oneapi/compiler/2024.1/bin:$PATH BUILDDIR=$PWD/../build_ifort-icpx CXX=icpx FC=ifort FCFLAGS="-O3 -diag-disable=10448" make -j
- echo "Running make with Intel ifx and Intel icpx..."
- - make clean && LD_LIBRARY_PATH=/opt/intel/oneapi/compiler/latest/lib PATH=/opt/intel/oneapi/compiler/latest/bin:$PATH BUILDDIR=$PWD/../build_ifx-icpx CXX=icpx FC=ifx FCFLAGS=-O3 make -j
+ - make clean && LD_LIBRARY_PATH=/opt/intel/oneapi/compiler/2024.1/lib PATH=/opt/intel/oneapi/compiler/2024.1/bin:$PATH BUILDDIR=$PWD/../build_ifx-icpx CXX=icpx FC=ifx FCFLAGS=-O3 make -j
+ - echo "Running make with default MPI compilers"
+ - make clean && BUILDDIR=$PWD/../build_mpi CXX=mpicxx FC=mpif90 USE_MPI=1 make -j
building_stage:
stage: build
diff --git a/containers/docker/Dockerfile b/containers/docker/Dockerfile
index 2f528d227e1881262a3297663a697b13d9ef5ffe..0b45614849d1230f676f436a799e2093a00ad6e4 100644
--- a/containers/docker/Dockerfile
+++ b/containers/docker/Dockerfile
@@ -20,6 +20,8 @@ RUN apt update
RUN DEBIAN_FRONTEND=noninteractive apt -y install intel-oneapi-compiler-fortran intel-oneapi-compiler-dpcpp-cpp-and-cpp-classic intel-oneapi-compiler-dpcpp-cpp
# install lapacke and its dependencies, both standard and the version with 64 bit integers
RUN DEBIAN_FRONTEND=noninteractive apt -y install liblapacke-dev liblapacke64-dev libopenblas-dev libopenblas-openmp-dev libopenblas64-dev libopenblas64-openmp-dev
+# install MPI stack
+RUN DEBIAN_FRONTEND=noninteractive apt -y install mpi-default-dev mpi-default-bin
# install packages needed to run python scripts for checks
RUN DEBIAN_FRONTEND=noninteractive apt -y install python3 python-is-python3 python3-regex
# install packages needed to run doxygen to create html docs
@@ -53,7 +55,7 @@ FROM debian:bookworm-slim AS np-tmcode-run-minimal
WORKDIR /root
# install the strictly needed runtime libraries needed to run the executables
# and the python check scripts
-RUN DEBIAN_FRONTEND=noninteractive apt update && DEBIAN_FRONTEND=noninteractive apt upgrade && DEBIAN_FRONTEND=noninteractive apt -y install libgfortran5 libgcc-s1 libhdf5-103-1 libstdc++6 libssl3 libcurl4 libsz2 zlib1g libnghttp2-14 libidn2-0 librtmp1 libssh2-1 libpsl5 libgssapi-krb5-2 libldap-2.5-0 libzstd1 libbrotli1 libaec0 libunistring2 libgmp10 libkrb5-3 libk5crypto3 libcom-err2 libkrb5support0 libsasl2-2 libp11-kit0 libtasn1-6 libkeyutils1 libffi8 liblapacke64 libopenblas64-0-openmp python3 python-is-python3 python3-regex hdf5-tools && rm -rf /var/lib/apt/lists/*
+RUN DEBIAN_FRONTEND=noninteractive apt update && DEBIAN_FRONTEND=noninteractive apt upgrade && DEBIAN_FRONTEND=noninteractive apt -y install libgfortran5 libgcc-s1 libhdf5-103-1 libstdc++6 libssl3 libcurl4 libsz2 zlib1g libnghttp2-14 libidn2-0 librtmp1 libssh2-1 libpsl5 libgssapi-krb5-2 libldap-2.5-0 libzstd1 libbrotli1 libaec0 libunistring2 libgmp10 libkrb5-3 libk5crypto3 libcom-err2 libkrb5support0 libsasl2-2 libp11-kit0 libtasn1-6 libkeyutils1 libffi8 liblapacke64 libopenblas64-0-openmp python3 python-is-python3 python3-regex hdf5-tools mpi-default-bin && rm -rf /var/lib/apt/lists/*
COPY --from=np-tmcode-run-dev /root /root
# remove everything which is not needed to run the codes
RUN cd /root/np-tmcode && find build -name "*.o" -exec rm -v \{\} \; && find build -name "*.gcno" -exec rm -v \{\} \; && cd src && rm -rvf cluster libnptm trapping include sphere Makefile make.inc README.md && cd .. && rm -rvf containers && cd doc && rm -rvf src && cd build/latex && rm -rvf *.tex *.out *.sty *.ind *.log *.toc *.ilg *.idx *.aux *.eps Makefile class*.pdf
diff --git a/src/cluster/cluster.cpp b/src/cluster/cluster.cpp
index 742cc6fdd5e1da4ef92c2a28ec636ceb478985b8..52869a5940e7f356fe7308486a8d20437635315c 100644
--- a/src/cluster/cluster.cpp
+++ b/src/cluster/cluster.cpp
@@ -12,6 +12,11 @@
#ifdef _OPENMP
#include <omp.h>
#endif
+#ifdef USE_MPI
+#ifndef MPI_VERSION
+#include <mpi.h>
+#endif
+#endif
#ifndef INCLUDE_TYPES_H_
#include "../include/types.h"
@@ -53,7 +58,7 @@ using namespace std;
// I would like to put it all in a struct, but then I'd have to write a constructor for it, due to members defined as references, creating a worse nightmare than the one I'd like to simplify...
-int cluster_jxi488_cycle(int jxi488, ScattererConfiguration *sconf, GeometryConfiguration *gconf, ScatteringAngles *sa, ClusterIterationData *cid, FILE *output, const string& output_path, fstream& tppoan, Logger *logger);
+int cluster_jxi488_cycle(int jxi488, ScattererConfiguration *sconf, GeometryConfiguration *gconf, ScatteringAngles *sa, ClusterIterationData *cid, FILE *output, const string& output_path, fstream& tppoan);
/*! \brief C++ implementation of CLU
*
@@ -61,251 +66,411 @@ int cluster_jxi488_cycle(int jxi488, ScattererConfiguration *sconf, GeometryConf
* \param data_file: `string` Name of the input data file.
* \param output_path: `string` Directory to write the output files in.
*/
-void cluster(const string& config_file, const string& data_file, const string& output_path) {
+void cluster(const string& config_file, const string& data_file, const string& output_path, const mixMPI *mpidata) {
chrono::time_point<chrono::high_resolution_clock> t_start = chrono::high_resolution_clock::now();
chrono::duration<double> elapsed;
string message;
- string timing_name = output_path + "/c_timing.log";
+ string timing_name = output_path + "/c_timing_mpi"+ to_string(mpidata->rank) +".log";
FILE *timing_file = fopen(timing_name.c_str(), "w");
Logger *time_logger = new Logger(LOG_DEBG, timing_file);
Logger *logger = new Logger(LOG_INFO);
- logger->log("INFO: making legacy configuration...", LOG_INFO);
- ScattererConfiguration *sconf = NULL;
- try {
- sconf = ScattererConfiguration::from_dedfb(config_file);
- } catch(const OpenConfigurationFileException &ex) {
- logger->err("\nERROR: failed to open scatterer configuration file.\n");
- string message = "FILE: " + string(ex.what()) + "\n";
- logger->err(message);
- exit(1);
- }
- sconf->write_formatted(output_path + "/c_OEDFB");
- sconf->write_binary(output_path + "/c_TEDF");
- sconf->write_binary(output_path + "/c_TEDF.hd5", "HDF5");
- GeometryConfiguration *gconf = NULL;
- try {
- gconf = GeometryConfiguration::from_legacy(data_file);
- } catch (const OpenConfigurationFileException &ex) {
- logger->err("\nERROR: failed to open geometry configuration file.\n");
- string message = "FILE: " + string(ex.what()) + "\n";
- logger->err(message);
- if (sconf) delete sconf;
- exit(1);
- }
- logger->log(" done.\n", LOG_INFO);
- int s_nsph = sconf->number_of_spheres;
- int nsph = gconf->number_of_spheres;
- if (s_nsph == nsph) {
- // Shortcuts to variables stored in configuration objects
- ScatteringAngles *p_scattering_angles = new ScatteringAngles(gconf);
- double wp = sconf->wp;
- FILE *output = fopen((output_path + "/c_OCLU").c_str(), "w");
- ClusterIterationData *cid = new ClusterIterationData(gconf, sconf);
- const int ndi = cid->c4->nsph * cid->c4->nlim;
- np_int ndit = 2 * ndi;
- logger->log("INFO: Size of matrices to invert: " + to_string((int64_t)ndit) + " x " + to_string((int64_t)ndit) +".\n");
- time_logger->log("INFO: Size of matrices to invert: " + to_string((int64_t)ndit) + " x " + to_string((int64_t)ndit) +".\n");
- fprintf(output, " READ(IR,*)NSPH,LI,LE,MXNDM,INPOL,NPNT,NPNTTS,IAVM,ISAM\n");
- fprintf(output, " %5d%5d%5d%5ld%5d%5d%5d%5d%5d\n",
- nsph, cid->c4->li, cid->c4->le, gconf->mxndm, gconf->in_pol, gconf->npnt,
- gconf->npntts, gconf->iavm, gconf->iavm
- );
- fprintf(output, " READ(IR,*)RXX(I),RYY(I),RZZ(I)\n");
- for (int ri = 0; ri < nsph; ri++) fprintf(output, "%17.8lE%17.8lE%17.8lE\n",
- gconf->get_sph_x(ri), gconf->get_sph_y(ri), gconf->get_sph_z(ri)
- );
- fprintf(output, " READ(IR,*)TH,THSTP,THLST,THS,THSSTP,THSLST\n");
- fprintf(
- output, " %10.3lE%10.3lE%10.3lE%10.3lE%10.3lE%10.3lE\n",
- p_scattering_angles->th, p_scattering_angles->thstp,
- p_scattering_angles->thlst, p_scattering_angles->ths,
- p_scattering_angles->thsstp, p_scattering_angles->thslst
- );
- fprintf(output, " READ(IR,*)PH,PHSTP,PHLST,PHS,PHSSTP,PHSLST\n");
- fprintf(
- output, " %10.3lE%10.3lE%10.3lE%10.3lE%10.3lE%10.3lE\n",
- p_scattering_angles->ph, p_scattering_angles->phstp,
- p_scattering_angles->phlst, p_scattering_angles->phs,
- p_scattering_angles->phsstp, p_scattering_angles->phslst
- );
- fprintf(output, " READ(IR,*)JWTM\n");
- fprintf(output, " %5d\n", gconf->jwtm);
- fprintf(output, " READ(ITIN)NSPHT\n");
- fprintf(output, " READ(ITIN)(IOG(I),I=1,NSPH)\n");
- fprintf(output, " READ(ITIN)EXDC,WP,XIP,IDFC,NXI\n");
- fprintf(output, " READ(ITIN)(XIV(I),I=1,NXI)\n");
- fprintf(output, " READ(ITIN)NSHL(I),ROS(I)\n");
- fprintf(output, " READ(ITIN)(RCF(I,NS),NS=1,NSH)\n");
- fprintf(output, " \n");
- str(sconf, cid->c1, cid->c1ao, cid->c3, cid->c4, cid->c6);
- thdps(cid->c4->lm, cid->zpv);
- double exdc = sconf->exdc;
- double exri = sqrt(exdc);
- fprintf(output, " REFR. INDEX OF EXTERNAL MEDIUM=%15.7lE\n", exri);
- fstream *tppoanp = new fstream;
- fstream &tppoan = *tppoanp;
- string tppoan_name = output_path + "/c_TPPOAN";
- tppoan.open(tppoan_name.c_str(), ios::out | ios::binary);
- if (tppoan.is_open()) {
+ // the following only happens on MPI process 0
+ if (mpidata->rank == 0) {
+ logger->log("INFO: making legacy configuration...", LOG_INFO);
+ ScattererConfiguration *sconf = NULL;
+ try {
+ sconf = ScattererConfiguration::from_dedfb(config_file);
+ } catch(const OpenConfigurationFileException &ex) {
+ logger->err("\nERROR: failed to open scatterer configuration file.\n");
+ string message = "FILE: " + string(ex.what()) + "\n";
+ logger->err(message);
+ exit(1);
+ }
+ sconf->write_formatted(output_path + "/c_OEDFB");
+ sconf->write_binary(output_path + "/c_TEDF");
+ sconf->write_binary(output_path + "/c_TEDF.hd5", "HDF5");
+ GeometryConfiguration *gconf = NULL;
+ try {
+ gconf = GeometryConfiguration::from_legacy(data_file);
+ } catch (const OpenConfigurationFileException &ex) {
+ logger->err("\nERROR: failed to open geometry configuration file.\n");
+ string message = "FILE: " + string(ex.what()) + "\n";
+ logger->err(message);
+ if (sconf) delete sconf;
+ exit(1);
+ }
+ logger->log(" done.\n", LOG_INFO);
+ int s_nsph = sconf->number_of_spheres;
+ int nsph = gconf->number_of_spheres;
+ if (s_nsph == nsph) {
+ // Shortcuts to variables stored in configuration objects
+ ScatteringAngles *p_scattering_angles = new ScatteringAngles(gconf);
+ double wp = sconf->wp;
+ FILE *output = fopen((output_path + "/c_OCLU").c_str(), "w");
+ ClusterIterationData *cid = new ClusterIterationData(gconf, sconf, mpidata);
+ const int ndi = cid->c4->nsph * cid->c4->nlim;
+ np_int ndit = 2 * ndi;
+ logger->log("INFO: Size of matrices to invert: " + to_string((int64_t)ndit) + " x " + to_string((int64_t)ndit) +".\n");
+ time_logger->log("INFO: Size of matrices to invert: " + to_string((int64_t)ndit) + " x " + to_string((int64_t)ndit) +".\n");
+ fprintf(output, " READ(IR,*)NSPH,LI,LE,MXNDM,INPOL,NPNT,NPNTTS,IAVM,ISAM\n");
+ fprintf(output, " %5d%5d%5d%5ld%5d%5d%5d%5d%5d\n",
+ nsph, cid->c4->li, cid->c4->le, gconf->mxndm, gconf->in_pol, gconf->npnt,
+ gconf->npntts, gconf->iavm, gconf->iavm
+ );
+ fprintf(output, " READ(IR,*)RXX(I),RYY(I),RZZ(I)\n");
+ for (int ri = 0; ri < nsph; ri++) fprintf(output, "%17.8lE%17.8lE%17.8lE\n",
+ gconf->get_sph_x(ri), gconf->get_sph_y(ri), gconf->get_sph_z(ri)
+ );
+ fprintf(output, " READ(IR,*)TH,THSTP,THLST,THS,THSSTP,THSLST\n");
+ fprintf(
+ output, " %10.3lE%10.3lE%10.3lE%10.3lE%10.3lE%10.3lE\n",
+ p_scattering_angles->th, p_scattering_angles->thstp,
+ p_scattering_angles->thlst, p_scattering_angles->ths,
+ p_scattering_angles->thsstp, p_scattering_angles->thslst
+ );
+ fprintf(output, " READ(IR,*)PH,PHSTP,PHLST,PHS,PHSSTP,PHSLST\n");
+ fprintf(
+ output, " %10.3lE%10.3lE%10.3lE%10.3lE%10.3lE%10.3lE\n",
+ p_scattering_angles->ph, p_scattering_angles->phstp,
+ p_scattering_angles->phlst, p_scattering_angles->phs,
+ p_scattering_angles->phsstp, p_scattering_angles->phslst
+ );
+ fprintf(output, " READ(IR,*)JWTM\n");
+ fprintf(output, " %5d\n", gconf->jwtm);
+ fprintf(output, " READ(ITIN)NSPHT\n");
+ fprintf(output, " READ(ITIN)(IOG(I),I=1,NSPH)\n");
+ fprintf(output, " READ(ITIN)EXDC,WP,XIP,IDFC,NXI\n");
+ fprintf(output, " READ(ITIN)(XIV(I),I=1,NXI)\n");
+ fprintf(output, " READ(ITIN)NSHL(I),ROS(I)\n");
+ fprintf(output, " READ(ITIN)(RCF(I,NS),NS=1,NSH)\n");
+ fprintf(output, " \n");
+ str(sconf, cid->c1, cid->c1ao, cid->c3, cid->c4, cid->c6);
+ thdps(cid->c4->lm, cid->zpv);
+ double exdc = sconf->exdc;
+ double exri = sqrt(exdc);
+ fprintf(output, " REFR. INDEX OF EXTERNAL MEDIUM=%15.7lE\n", exri);
+ fstream *tppoanp = new fstream;
+ fstream &tppoan = *tppoanp;
+ string tppoan_name = output_path + "/c_TPPOAN";
+ tppoan.open(tppoan_name.c_str(), ios::out | ios::binary);
+ if (tppoan.is_open()) {
#ifdef USE_LAPACK
- logger->log("INFO: using LAPACK calls.\n", LOG_INFO);
+ logger->log("INFO: using LAPACK calls.\n", LOG_INFO);
#else
- logger->log("INFO: using fall-back lucin() calls.\n", LOG_INFO);
+ logger->log("INFO: using fall-back lucin() calls.\n", LOG_INFO);
#endif
- int iavm = gconf->iavm;
- int isam = gconf->isam;
- int inpol = gconf->in_pol;
- int nxi = sconf->number_of_scales;
- int nth = p_scattering_angles->nth;
- int nths = p_scattering_angles->nths;
- int nph = p_scattering_angles->nph;
- int nphs = p_scattering_angles->nphs;
- tppoan.write(reinterpret_cast<char *>(&iavm), sizeof(int));
- tppoan.write(reinterpret_cast<char *>(&isam), sizeof(int));
- tppoan.write(reinterpret_cast<char *>(&inpol), sizeof(int));
- tppoan.write(reinterpret_cast<char *>(&nxi), sizeof(int));
- tppoan.write(reinterpret_cast<char *>(&nth), sizeof(int));
- tppoan.write(reinterpret_cast<char *>(&nph), sizeof(int));
- tppoan.write(reinterpret_cast<char *>(&nths), sizeof(int));
- tppoan.write(reinterpret_cast<char *>(&nphs), sizeof(int));
- if (sconf->idfc < 0) {
- cid->vk = cid->xip * cid->wn;
- fprintf(output, " VK=%15.7lE, XI IS SCALE FACTOR FOR LENGTHS\n", cid->vk);
- fprintf(output, " \n");
- }
- // do the first iteration on jxi488 separately, since it seems to be different from the others
- int jxi488 = 1;
- chrono::time_point<chrono::high_resolution_clock> start_iter_1 = chrono::high_resolution_clock::now();
- int jer = cluster_jxi488_cycle(jxi488, sconf, gconf, p_scattering_angles, cid, output, output_path, tppoan, logger);
- chrono::time_point<chrono::high_resolution_clock> end_iter_1 = chrono::high_resolution_clock::now();
- elapsed = start_iter_1 - t_start;
- message = "INFO: Calculation setup took " + to_string(elapsed.count()) + "s.\n";
- logger->log(message);
- time_logger->log(message);
- elapsed = end_iter_1 - start_iter_1;
- message = "INFO: First iteration took " + to_string(elapsed.count()) + "s.\n";
- logger->log(message);
- time_logger->log(message);
+ int iavm = gconf->iavm;
+ int isam = gconf->isam;
+ int inpol = gconf->in_pol;
+ int nxi = sconf->number_of_scales;
+ int nth = p_scattering_angles->nth;
+ int nths = p_scattering_angles->nths;
+ int nph = p_scattering_angles->nph;
+ int nphs = p_scattering_angles->nphs;
+ tppoan.write(reinterpret_cast<char *>(&iavm), sizeof(int));
+ tppoan.write(reinterpret_cast<char *>(&isam), sizeof(int));
+ tppoan.write(reinterpret_cast<char *>(&inpol), sizeof(int));
+ tppoan.write(reinterpret_cast<char *>(&nxi), sizeof(int));
+ tppoan.write(reinterpret_cast<char *>(&nth), sizeof(int));
+ tppoan.write(reinterpret_cast<char *>(&nph), sizeof(int));
+ tppoan.write(reinterpret_cast<char *>(&nths), sizeof(int));
+ tppoan.write(reinterpret_cast<char *>(&nphs), sizeof(int));
+ if (sconf->idfc < 0) {
+ cid->vk = cid->xip * cid->wn;
+ fprintf(output, " VK=%15.7lE, XI IS SCALE FACTOR FOR LENGTHS\n", cid->vk);
+ fprintf(output, " \n");
+ }
+ // do the first iteration on jxi488 separately, since it seems to be different from the others
+ int jxi488 = 1;
+ chrono::time_point<chrono::high_resolution_clock> start_iter_1 = chrono::high_resolution_clock::now();
+ int jer = cluster_jxi488_cycle(jxi488, sconf, gconf, p_scattering_angles, cid, output, output_path, tppoan);
+ chrono::time_point<chrono::high_resolution_clock> end_iter_1 = chrono::high_resolution_clock::now();
+ elapsed = start_iter_1 - t_start;
+ string message = "INFO: Calculation setup took " + to_string(elapsed.count()) + "s.\n";
+ logger->log(message);
+ time_logger->log(message);
+ elapsed = end_iter_1 - start_iter_1;
+ message = "INFO: First iteration took " + to_string(elapsed.count()) + "s.\n";
+ logger->log(message);
+ time_logger->log(message);
- // Create this variable and initialise it with a default here, so that it is defined anyway, with or without OpenMP support enabled
- int ompnumthreads = 1;
+ // here go the calls that send data to be duplicated on other MPI processes from process 0 to others, using MPI broadcasts, but only if MPI is actually used
+#ifdef MPI_VERSION
+ if (mpidata->mpirunning) {
+ gconf->mpibcast(mpidata);
+ sconf->mpibcast(mpidata);
+ cid->mpibcast(mpidata);
+ p_scattering_angles->mpibcast(mpidata);
+ }
+#endif
+ // Create this variable and initialise it with a default here, so that it is defined anyway, with or without OpenMP support enabled
+ int ompnumthreads = 1;
#pragma omp parallel
- {
- // Create and initialise this variable here, so that if OpenMP is enabled it is local to the thread, and if OpenMP is not enabled it has a well-defiled value anyway
- int myompthread = 0;
+ {
+ // Create and initialise this variable here, so that if OpenMP is enabled it is local to the thread, and if OpenMP is not enabled it has a well-defiled value anyway
+ int myompthread = 0;
#ifdef _OPENMP
- // If OpenMP is enabled, give actual values to myompthread and ompnumthreads, and open thread-local output files
- myompthread = omp_get_thread_num();
- if (myompthread == 0) ompnumthreads = omp_get_num_threads();
+ // If OpenMP is enabled, give actual values to myompthread and ompnumthreads, and open thread-local output files
+ myompthread = omp_get_thread_num();
+ if (myompthread == 0) ompnumthreads = omp_get_num_threads();
#endif
- // To test parallelism, I will now start feeding this function with "clean" copies of the parameters, so that they will not be changed by previous iterations, and each one will behave as the first one. Define all (empty) variables here, so they have the correct scope, then they get different definitions depending on thread number
- ClusterIterationData *cid_2 = NULL;
- FILE *output_2 = NULL;
- fstream *tppoanp_2 = NULL;
- // for threads other than the 0, create distinct copies of all relevant data, while for thread 0 just define new references / pointers to the original ones
- if (myompthread == 0) {
- cid_2 = cid;
- output_2 = output;
- tppoanp_2 = tppoanp;
- } else {
- // this is not thread 0, so do create fresh copies of all local variables
- cid_2 = new ClusterIterationData(*cid);
- output_2 = fopen((output_path + "/c_OCLU_" + to_string(myompthread)).c_str(), "w");
- tppoanp_2 = new fstream;
- tppoanp_2->open((output_path + "/c_TPPOAN_" + to_string(myompthread)).c_str(), ios::out | ios::binary);
- }
- fstream &tppoan_2 = *tppoanp_2;
- // make sure all threads align here: I don't want the following loop to accidentally start for thread 0, possibly modifying some variables before they are copied by all other threads
+ // To test parallelism, I will now start feeding this function with "clean" copies of the parameters, so that they will not be changed by previous iterations, and each one will behave as the first one. Define all (empty) variables here, so they have the correct scope, then they get different definitions depending on thread number
+ ClusterIterationData *cid_2 = NULL;
+ FILE *output_2 = NULL;
+ fstream *tppoanp_2 = NULL;
+ // for threads other than the 0, create distinct copies of all relevant data, while for thread 0 just define new references / pointers to the original ones
+ if (myompthread == 0) {
+ cid_2 = cid;
+ output_2 = output;
+ tppoanp_2 = tppoanp;
+ } else {
+ // this is not thread 0, so do create fresh copies of all local variables
+ cid_2 = new ClusterIterationData(*cid);
+ output_2 = fopen((output_path + "/c_OCLU_" + to_string(mpidata->rank) + "_" + to_string(myompthread)).c_str(), "w");
+ tppoanp_2 = new fstream;
+ tppoanp_2->open((output_path + "/c_TPPOAN_" + to_string(mpidata->rank) + "_" + to_string(myompthread)).c_str(), ios::out | ios::binary);
+ }
+ fstream &tppoan_2 = *tppoanp_2;
+ // make sure all threads align here: I don't want the following loop to accidentally start for thread 0, possibly modifying some variables before they are copied by all other threads
#pragma omp barrier
- if (myompthread==0) logger->log("Syncing OpenMP threads and starting the loop on wavelengths\n");
- // ok, now I can actually start the parallel calculations
+ if (myompthread==0) logger->log("Syncing OpenMP threads and starting the loop on wavelengths\n");
+ // ok, now I can actually start the parallel calculations
#pragma omp for
- for (jxi488 = 2; jxi488 <= nxi; jxi488++) {
- int jer = cluster_jxi488_cycle(jxi488, sconf, gconf, p_scattering_angles, cid_2, output_2, output_path, *tppoanp_2, logger);
- }
+ for (jxi488 = cid_2->firstxi; jxi488 <= cid_2->lastxi; jxi488++) {
+ int jer = cluster_jxi488_cycle(jxi488, sconf, gconf, p_scattering_angles, cid_2, output_2, output_path, *tppoanp_2);
+ }
#pragma omp barrier
- // only threads different from 0 have to free local copies of variables and close local files
- if (myompthread != 0) {
- delete cid_2;
- fclose(output_2);
- tppoanp_2->close();
- delete tppoanp_2;
- }
+ // only threads different from 0 have to free local copies of variables and close local files
+ if (myompthread != 0) {
+ delete cid_2;
+ fclose(output_2);
+ tppoanp_2->close();
+ delete tppoanp_2;
+ }
+#pragma omp barrier
+ {
+ string message = "INFO: Closing thread-local output files of thread " + to_string(myompthread) + " and syncing threads.\n";
+ logger->log(message);
+ }
+ } // closes pragma omp parallel
+#ifdef _OPENMP
#pragma omp barrier
{
- message = "INFO: Closing thread-local output files of thread " + to_string(myompthread) + " and syncing threads.\n";
- logger->log(message);
+ // thread 0 already wrote on global files, skip it and take care of appending the others
+ for (int ri = 1; ri < ompnumthreads; ri++) {
+ // Giovanni, please add here in this loop code to reopen the temporary files, reread them and append them respectively to the global output and tppoan, before closing them
+ string partial_file_name = output_path + "/c_OCLU_" + to_string(mpidata->rank) + "_" + to_string(ri);
+ string message = "Copying ASCII output in MPI process " + to_string(mpidata->rank) + " of thread " + to_string(ri) + " of " + to_string(ompnumthreads - 1) + "... ";
+ logger->log(message, LOG_DEBG);
+ FILE *partial_output = fopen(partial_file_name.c_str(), "r");
+ int c = fgetc(partial_output);
+ while (c != EOF) {
+ fputc(c, output);
+ c = fgetc(partial_output);
+ }
+ fclose(partial_output);
+ remove(partial_file_name.c_str());
+ logger->log("done.\n", LOG_DEBG);
+ partial_file_name = output_path + "/c_TPPOAN_" + to_string(mpidata->rank) + "_" + to_string(ri);
+ message = "Copying binary output in MPI process " + to_string(mpidata->rank) + " of thread " + to_string(ri) + " of " + to_string(ompnumthreads - 1) + "... ";
+ logger->log(message, LOG_DEBG);
+ fstream partial_tppoan;
+ partial_tppoan.open(partial_file_name.c_str(), ios::in | ios::binary);
+ partial_tppoan.seekg(0, ios::end);
+ long buffer_size = partial_tppoan.tellg();
+ char *binary_buffer = new char[buffer_size];
+ partial_tppoan.seekg(0, ios::beg);
+ partial_tppoan.read(binary_buffer, buffer_size);
+ tppoan.write(binary_buffer, buffer_size);
+ partial_tppoan.close();
+ delete[] binary_buffer;
+ remove(partial_file_name.c_str());
+ logger->log("done.\n", LOG_DEBG);
+ }
+ }
+#endif
+ // here go the code to append the files written in MPI processes > 0 to the ones on MPI process 0
+#ifdef MPI_VERSION
+ if (mpidata->mpirunning) {
+ // only go through this if MPI has been actually used
+ for (int rr=1; rr<mpidata->nprocs; rr++) {
+ // get the data from process rr
+ // how many openmp threads did process rr use?
+ int remotethreads;
+ MPI_Recv(&remotethreads, 1, MPI_INT, rr, 1, MPI_COMM_WORLD, MPI_STATUS_IGNORE);
+ for (int ri=0; ri<remotethreads; ri++) {
+ // first get the ASCII local file
+ int c = 0;
+ MPI_Recv(&c, 1, MPI_INT, rr, 0, MPI_COMM_WORLD, MPI_STATUS_IGNORE);
+ while (c != EOF) {
+ fputc(c, output);
+ MPI_Recv(&c, 1, MPI_INT, rr, 0, MPI_COMM_WORLD, MPI_STATUS_IGNORE);
+ }
+ // now get the binary local file
+ long buffer_size = 0;
+ // get the size of the buffer
+ MPI_Recv(&buffer_size, 1, MPI_LONG, rr, 1, MPI_COMM_WORLD, MPI_STATUS_IGNORE);
+ // allocate the bufer
+ char *binary_buffer = new char[buffer_size];
+ // actually receive the buffer
+ MPI_Recv(binary_buffer, buffer_size, MPI_CHAR, rr, 0, MPI_COMM_WORLD, MPI_STATUS_IGNORE);
+ // we can write it to disk
+ tppoan.write(binary_buffer, buffer_size);
+ delete[] binary_buffer;
+ }
+ }
}
- } // closes pragma omp parallel
+#endif
+ tppoanp->close();
+ delete tppoanp;
+ } else { // In case TPPOAN could not be opened. Should never happen.
+ logger->err("\nERROR: failed to open TPPOAN file.\n");
+ }
+ fclose(output);
+ // Clean memory
+ delete cid;
+ delete p_scattering_angles;
+ } else { // NSPH mismatch between geometry and scatterer configurations.
+ throw UnrecognizedConfigurationException(
+ "Inconsistent geometry and scatterer configurations."
+ );
+ }
+ delete sconf;
+ delete gconf;
+ chrono::time_point<chrono::high_resolution_clock> t_end = chrono::high_resolution_clock::now();
+ elapsed = t_end - t_start;
+ string message = "INFO: Calculation lasted " + to_string(elapsed.count()) + "s.\n";
+ logger->log(message);
+ logger->log("Finished: output written to " + output_path + "/c_OCLU\n");
+ time_logger->log(message);
+ }
+
+#ifdef MPI_VERSION
+ else {
+ // here go the code for MPI processes other than 0
+ // copy gconf, sconf, cid and p_scattering_angles from MPI process 0
+ GeometryConfiguration *gconf = new GeometryConfiguration(mpidata);
+ ScattererConfiguration *sconf = new ScattererConfiguration(mpidata);
+ ClusterIterationData *cid = new ClusterIterationData(mpidata);
+ ScatteringAngles *p_scattering_angles = new ScatteringAngles(mpidata);
+ // open separate files for other MPI processes
+ // File *output = fopen((output_path + "/c_OCLU_mpi"+ to_string(mpidata->rank)).c_str(), "w");
+ // fstream *tppoanp = new fstream;
+ // fstream &tppoan = *tppoanp;
+ // string tppoan_name = output_path + "/c_TPPOAN_mpi"+ to_string(mpidata->rank);
+ // tppoan.open(tppoan_name.c_str(), ios::out | ios::binary);
+ // Create this variable and initialise it with a default here, so that it is defined anyway, with or without OpenMP support enabled
+ int ompnumthreads = 1;
+
+#pragma omp parallel
+ {
+ // Create and initialise this variable here, so that if OpenMP is enabled it is local to the thread, and if OpenMP is not enabled it has a well-defiled value anyway
+ int myompthread = 0;
#ifdef _OPENMP
+ // If OpenMP is enabled, give actual values to myompthread and ompnumthreads, and open thread-local output files
+ myompthread = omp_get_thread_num();
+ if (myompthread == 0) ompnumthreads = omp_get_num_threads();
+#endif
+ // To test parallelism, I will now start feeding this function with "clean" copies of the parameters, so that they will not be changed by previous iterations, and each one will behave as the first one. Define all (empty) variables here, so they have the correct scope, then they get different definitions depending on thread number
+ ClusterIterationData *cid_2 = NULL;
+ FILE *output_2 = NULL;
+ fstream *tppoanp_2 = NULL;
+ // for threads other than the 0, create distinct copies of all relevant data, while for thread 0 just define new references / pointers to the original ones
+ if (myompthread == 0) {
+ cid_2 = cid;
+ // output_2 = output;
+ // tppoanp_2 = tppoanp;
+ } else {
+ // this is not thread 0, so do create fresh copies of all local variables
+ cid_2 = new ClusterIterationData(*cid);
+ }
+ output_2 = fopen((output_path + "/c_OCLU_" + to_string(mpidata->rank) + "_" + to_string(myompthread)).c_str(), "w");
+ tppoanp_2 = new fstream;
+ tppoanp_2->open((output_path + "/c_TPPOAN_" + to_string(mpidata->rank) + "_" + to_string(myompthread)).c_str(), ios::out | ios::binary);
+ fstream &tppoan_2 = *tppoanp_2;
+ // make sure all threads align here: I don't want the following loop to accidentally start for thread 0, possibly modifying some variables before they are copied by all other threads
+#pragma omp barrier
+ if (myompthread==0) logger->log("Syncing OpenMP threads and starting the loop on wavelengths\n");
+ // ok, now I can actually start the parallel calculations
+#pragma omp for
+ for (int jxi488 = cid_2->firstxi; jxi488 <= cid_2->lastxi; jxi488++) {
+ int jer = cluster_jxi488_cycle(jxi488, sconf, gconf, p_scattering_angles, cid_2, output_2, output_path, *tppoanp_2);
+ }
+
+#pragma omp barrier
+ // only threads different from 0 have to free local copies of variables
+ if (myompthread != 0) {
+ delete cid_2;
+ }
+ fclose(output_2);
+ tppoanp_2->close();
+ delete tppoanp_2;
#pragma omp barrier
{
- // thread 0 already wrote on global files, skip it and take care of appending the others
- for (int ri = 1; ri < ompnumthreads; ri++) {
- // Giovanni, please add here in this loop code to reopen the temporary files, reread them and append them respectively to the global output and tppoan, before closing them
- string partial_file_name = output_path + "/c_OCLU_" + to_string(ri);
- message = "Copying ASCII output of thread " + to_string(ri) + " of " + to_string(ompnumthreads - 1) + "... ";
- logger->log(message, LOG_DEBG);
- FILE *partial_output = fopen(partial_file_name.c_str(), "r");
- char c = fgetc(partial_output);
- while (c != EOF) {
- fputc(c, output);
- c = fgetc(partial_output);
- }
- fclose(partial_output);
- remove(partial_file_name.c_str());
- logger->log("done.\n", LOG_DEBG);
- partial_file_name = output_path + "/c_TPPOAN_" + to_string(ri);
- message = "Copying binary output of thread " + to_string(ri) + " of " + to_string(ompnumthreads - 1) + "... ";
- logger->log(message, LOG_DEBG);
- fstream partial_tppoan;
- partial_tppoan.open(partial_file_name.c_str(), ios::in | ios::binary);
- partial_tppoan.seekg(0, ios::end);
- long buffer_size = partial_tppoan.tellg();
- char *binary_buffer = new char[buffer_size];
- partial_tppoan.seekg(0, ios::beg);
- partial_tppoan.read(binary_buffer, buffer_size);
- tppoan.write(binary_buffer, buffer_size);
- partial_tppoan.close();
- delete[] binary_buffer;
- remove(partial_file_name.c_str());
- logger->log("done.\n", LOG_DEBG);
+ string message = "INFO: Closing thread-local output files of thread " + to_string(myompthread) + " and syncing threads.\n";
+ logger->log(message);
+ }
+ } // closes pragma omp parallel
+#pragma omp barrier
+ {
+ // tell MPI process 0 how many threads we have on this process (not necessarily the same across all processes)
+ MPI_Send(&ompnumthreads, 1, MPI_INT, 0, 1, MPI_COMM_WORLD);
+ // reopen local files, send them all to MPI process 0
+ for (int ri = 0; ri < ompnumthreads; ri++) {
+ // Giovanni, please add here in this loop code to reopen the temporary files, reread them and append them respectively to the global output and tppoan, before closing them
+ string partial_file_name = output_path + "/c_OCLU_" + to_string(mpidata->rank) + "_" + to_string(ri);
+ string message = "Copying ASCII output in MPI process " + to_string(mpidata->rank) + " of thread " + to_string(ri) + " of " + to_string(ompnumthreads - 1) + "... ";
+ logger->log(message, LOG_DEBG);
+ FILE *partial_output = fopen(partial_file_name.c_str(), "r");
+ int c = 0;
+ while (c != EOF) {
+ c = fgetc(partial_output);
+ MPI_Send(&c, 1, MPI_INT, 0, 0, MPI_COMM_WORLD);
}
+ fclose(partial_output);
+ remove(partial_file_name.c_str());
+ logger->log("done.\n", LOG_DEBG);
+ partial_file_name = output_path + "/c_TPPOAN_" + to_string(mpidata->rank) + "_" + to_string(ri);
+ message = "Copying binary output in MPI process " + to_string(mpidata->rank) + " of thread " + to_string(ri) + " of " + to_string(ompnumthreads - 1) + "... ";
+ logger->log(message, LOG_DEBG);
+ fstream partial_tppoan;
+ partial_tppoan.open(partial_file_name.c_str(), ios::in | ios::binary);
+ partial_tppoan.seekg(0, ios::end);
+ long buffer_size = partial_tppoan.tellg();
+ char *binary_buffer = new char[buffer_size];
+ partial_tppoan.seekg(0, ios::beg);
+ partial_tppoan.read(binary_buffer, buffer_size);
+ // tell MPI process 0 how large is the buffer
+ MPI_Send(&buffer_size, 1, MPI_LONG, 0, 1, MPI_COMM_WORLD);
+ // actually send the buffer
+ MPI_Send(binary_buffer, buffer_size, MPI_CHAR, 0, 0, MPI_COMM_WORLD);
+ // tppoan.write(binary_buffer, buffer_size);
+ partial_tppoan.close();
+ delete[] binary_buffer;
+ remove(partial_file_name.c_str());
+ logger->log("done.\n", LOG_DEBG);
}
-#endif
- tppoanp->close();
- delete tppoanp;
- } else { // In case TPPOAN could not be opened. Should never happen.
- logger->err("\nERROR: failed to open TPPOAN file.\n");
}
- fclose(output);
// Clean memory
delete cid;
delete p_scattering_angles;
- } else { // NSPH mismatch between geometry and scatterer configurations.
- throw UnrecognizedConfigurationException(
- "Inconsistent geometry and scatterer configurations."
- );
+ delete sconf;
+ delete gconf;
+
}
- delete sconf;
- delete gconf;
- chrono::time_point<chrono::high_resolution_clock> t_end = chrono::high_resolution_clock::now();
- elapsed = t_end - t_start;
- message = "INFO: Calculation lasted " + to_string(elapsed.count()) + "s.\n";
- logger->log(message);
- logger->log("Finished: output written to " + output_path + "/c_OCLU\n");
- time_logger->log(message);
+#endif
fclose(timing_file);
delete time_logger;
delete logger;
}
-int cluster_jxi488_cycle(int jxi488, ScattererConfiguration *sconf, GeometryConfiguration *gconf, ScatteringAngles *sa, ClusterIterationData *cid, FILE *output, const string& output_path, fstream& tppoan, Logger *logger)
+int cluster_jxi488_cycle(int jxi488, ScattererConfiguration *sconf, GeometryConfiguration *gconf, ScatteringAngles *sa, ClusterIterationData *cid, FILE *output, const string& output_path, fstream& tppoan)
{
int nxi = sconf->number_of_scales;
string message = "INFO: running scale iteration " + to_string(jxi488) + " of " + to_string(nxi) + ".\n";
+ Logger *logger = new Logger(LOG_INFO);
logger->log(message);
chrono::duration<double> elapsed;
chrono::time_point<chrono::high_resolution_clock> interval_start, interval_end;
@@ -964,5 +1129,7 @@ int cluster_jxi488_cycle(int jxi488, ScattererConfiguration *sconf, GeometryConf
logger->log("INFO: finished scale iteration " + to_string(jxi488) + " of " + to_string(nxi) + ".\n");
+ delete logger;
+
return jer;
}
diff --git a/src/cluster/np_cluster.cpp b/src/cluster/np_cluster.cpp
index de9c30fea71cf4a06a5e53e5b6989f1a4f2303c9..f6cac7c2dd98cf5b5774b6aea2c9fb9568f5853b 100644
--- a/src/cluster/np_cluster.cpp
+++ b/src/cluster/np_cluster.cpp
@@ -29,9 +29,13 @@
#include "../include/Configuration.h"
#endif
+#ifndef INCLUDE_COMMONS_H_
+#include "../include/Commons.h"
+#endif
+
using namespace std;
-extern void cluster(const string& config_file, const string& data_file, const string& output_path);
+extern void cluster(const string& config_file, const string& data_file, const string& output_path, const mixMPI *mpidata);
/*! \brief Main program entry point.
*
@@ -46,6 +50,14 @@ extern void cluster(const string& config_file, const string& data_file, const st
* \return result: `int` An exit code passed to the OS (0 for succesful execution).
*/
int main(int argc, char **argv) {
+#ifdef MPI_VERSION
+ int ierr = MPI_Init(&argc, &argv);
+ // create and initialise class with essential MPI data
+ mixMPI *mpidata = new mixMPI(MPI_COMM_WORLD);
+#else
+ // create a the class with dummy data if we are not using MPI at all
+ mixMPI *mpidata = new mixMPI();
+#endif
string config_file = "../../test_data/cluster/DEDFB";
string data_file = "../../test_data/cluster/DCLU";
string output_path = ".";
@@ -54,6 +66,10 @@ int main(int argc, char **argv) {
data_file = string(argv[2]);
output_path = string(argv[3]);
}
- cluster(config_file, data_file, output_path);
+ cluster(config_file, data_file, output_path, mpidata);
+#ifdef MPI_VERSION
+ MPI_Finalize();
+#endif
+ delete mpidata;
return 0;
}
diff --git a/src/include/Commons.h b/src/include/Commons.h
index 8f311f8c1f7647e4e9b67abe36f17bc5785198bb..a9370909ee9a1f79a6a35e408f591a9b8766852b 100644
--- a/src/include/Commons.h
+++ b/src/include/Commons.h
@@ -19,6 +19,12 @@
#ifndef INCLUDE_COMMONS_H_
#define INCLUDE_COMMONS_H_
+#ifdef USE_MPI
+#include <mpi.h>
+#endif
+
+class mixMPI;
+
/*! \brief Representation of the FORTRAN C1 common blocks.
*
* C1 common blocks are used to store vector field expansions and geometric
@@ -110,6 +116,20 @@ public:
*/
C1(const C1& rhs);
+#ifdef MPI_VERSION
+ /*! \brief C1 instance constructor copying all contents off MPI broadcast from MPI process 0
+ *
+ * \param mpidata: `mixMPI *` pointer to MPI data structure.
+ */
+ C1(const mixMPI *mpidata);
+
+ /*! \brief send C1 instance from MPI process 0 via MPI broadcasts to all other processes
+ *
+ * \param mpidata: `mixMPI *` pointer to MPI data structure.
+ */
+ void mpibcast(const mixMPI *mpidata);
+#endif
+
//! \brief C1 instance destroyer.
~C1();
};
@@ -153,6 +173,21 @@ public:
//! \brief C2 instance destroyer.
~C2();
+
+#ifdef MPI_VERSION
+ /*! \brief C2 instance constructor copying all contents off MPI broadcast from MPI process 0
+ *
+ * \param mpidata: `mixMPI *` pointer to MPI data structure.
+ */
+ C2(const mixMPI *mpidata);
+
+ /*! \brief send C2 instance from MPI process 0 via MPI broadcasts to all other processes
+ *
+ * \param mpidata: `mixMPI *` pointer to MPI data structure.
+ */
+ void mpibcast(const mixMPI *mpidata);
+#endif
+
};
/*! \brief Representation of the FORTRAN C3 blocks.
@@ -183,6 +218,21 @@ public:
/*! \brief C3 instance destroyer.
*/
~C3();
+
+#ifdef MPI_VERSION
+ /*! \brief C3 instance constructor copying all contents off MPI broadcast from MPI process 0
+ *
+ * \param mpidata: `mixMPI *` pointer to MPI data structure.
+ */
+ C3(const mixMPI *mpidata);
+
+ /*! \brief send C3 instance from MPI process 0 via MPI broadcasts to all other processes
+ *
+ * \param mpidata: `mixMPI *` pointer to MPI data structure.
+ */
+ void mpibcast(const mixMPI *mpidata);
+#endif
+
};
/*! \brief Representation of the FORTRAN C4 blocks.
@@ -229,6 +279,21 @@ public:
/*! \brief C4 instance destroyer.
*/
~C4();
+
+#ifdef MPI_VERSION
+ /*! \brief C4 instance constructor copying all contents off MPI broadcast from MPI process 0
+ *
+ * \param mpidata: `mixMPI *` pointer to MPI data structure.
+ */
+ C4(const mixMPI *mpidata);
+
+ /*! \brief send C4 instance from MPI process 0 via MPI broadcasts to all other processes
+ *
+ * \param mpidata: `mixMPI *` pointer to MPI data structure.
+ */
+ void mpibcast(const mixMPI *mpidata);
+#endif
+
};
/*! \brief Vectors and matrices that are specific to cluster C1 blocks.
@@ -317,6 +382,21 @@ public:
//! \brief C1_AddOns instance destroyer.
~C1_AddOns();
+
+#ifdef MPI_VERSION
+ /*! \brief C1_AddOns instance constructor copying all contents off MPI broadcast from MPI process 0
+ *
+ * \param mpidata: `mixMPI *` pointer to MPI data structure.
+ */
+ C1_AddOns(const mixMPI *mpidata);
+
+ /*! \brief send C1_AddOns instance from MPI process 0 via MPI broadcasts to all other processes
+ *
+ * \param mpidata: `mixMPI *` pointer to MPI data structure.
+ */
+ void mpibcast(const mixMPI *mpidata);
+#endif
+
};
/*! \brief Representation of the FORTRAN C6 blocks.
@@ -343,6 +423,21 @@ public:
/*! \brief C6 instance destroyer.
*/
~C6();
+
+#ifdef MPI_VERSION
+ /*! \brief C6 instance constructor copying all contents off MPI broadcast from MPI process 0
+ *
+ * \param mpidata: `mixMPI *` pointer to MPI data structure.
+ */
+ C6(const mixMPI *mpidata);
+
+ /*! \brief send C6 instance from MPI process 0 via MPI broadcasts to all other processes
+ *
+ * \param mpidata: `mixMPI *` pointer to MPI data structure.
+ */
+ void mpibcast(const mixMPI *mpidata);
+#endif
+
};
/*! \brief Representation of the FORTRAN C9 blocks.
@@ -384,6 +479,51 @@ public:
/*! \brief C9 instance destroyer.
*/
~C9();
+
+#ifdef MPI_VERSION
+ /*! \brief C9 instance constructor copying all contents off MPI broadcast from MPI process 0
+ *
+ * \param mpidata: `mixMPI *` pointer to MPI data structure.
+ */
+ C9(const mixMPI *mpidata);
+
+ /*! \brief send C9 instance from MPI process 0 via MPI broadcasts to all other processes
+ *
+ * \param mpidata: `mixMPI *` pointer to MPI data structure.
+ */
+ void mpibcast(const mixMPI *mpidata);
+#endif
+
+};
+
+/*! \brief structure with essential MPI data.
+ */
+class mixMPI {
+public:
+ //! \brief was MPI initialised?
+ bool mpirunning;
+ //! \brief MPI rank
+ int rank;
+ //! \brief MPI nprocs
+ int nprocs;
+
+ /*! \brief empty mixMPI instance constructor.
+ */
+ mixMPI();
+
+ /*! \brief mixMPI instance constructor from an actual MPI communicator.
+ */
+#ifdef MPI_VERSION
+ mixMPI(MPI_Comm comm);
+#endif
+
+ /*! \brief mixMPI instance constructor copying its contents from a preexisting object.
+ */
+ mixMPI(const mixMPI& rhs);
+
+ /*! \brief mixMPI instance destroyer.
+ */
+ ~mixMPI();
};
/*! \brief A data structure representing the information used for a single scale
@@ -455,12 +595,32 @@ public:
//! \brief Wave number.
double wn;
double xip;
+ int number_of_scales;
+ int xiblock;
+ int firstxi;
+ int lastxi;
- ClusterIterationData(GeometryConfiguration *gconf, ScattererConfiguration *sconf);
-
+ ClusterIterationData(GeometryConfiguration *gconf, ScattererConfiguration *sconf, const mixMPI *mpidata);
+
ClusterIterationData(const ClusterIterationData& rhs);
+#ifdef MPI_VERSION
+ ClusterIterationData(const mixMPI *mpidata);
+
+ /*! \brief Broadcast over MPI the ClusterIterationData instance from MPI process 0 to all others.
+ *
+ * When using MPI, the initial ClusterIterationData instance created by MPI process 0
+ * needs to be replicated on all other processes. This function sends it using
+ * MPI broadcast calls. The MPI broadcast calls in this function must match those
+ * in the constructor using the mixMPI pointer.
+ *
+ * \param mpidata: `mixMPI *` Pointer to the mpi structure used to do the MPI broadcast.
+ */
+ void mpibcast(const mixMPI *mpidata);
+#endif
+
~ClusterIterationData();
+
};
/*! \brief A data structure representing the angles to be evaluated in the problem.
@@ -562,6 +722,27 @@ public:
* \param rhs: `ScatteringAngles&` Reference to the ScatteringAngles object to be copied.
*/
ScatteringAngles(const ScatteringAngles &rhs);
+
+#ifdef MPI_VERSION
+ /*! \brief ScatteringAngles copy from MPI broadcast.
+ *
+ * \param mpidata: `mixMPI *` Pointer to the mpidata instance used to copy the data.
+ */
+ ScatteringAngles(const mixMPI *mpidata);
+
+ /*! \brief Broadcast over MPI the ScatteringAngles instance from MPI process 0 to all others.
+ *
+ * When using MPI, the initial ScatteringAngles instance created by MPI process 0
+ * needs to be replicated on all other processes. This function sends it using
+ * MPI broadcast calls. The MPI broadcast calls in this function must match those
+ * in the constructor using the mixMPI pointer.
+ *
+ * \param mpidata: `mixMPI *` Pointer to the mpi structure used to do the MPI broadcast.
+ */
+ void mpibcast(const mixMPI *mpidata);
+#endif
+
};
+
#endif
diff --git a/src/include/Configuration.h b/src/include/Configuration.h
index 1c131e92e6104c856b8d882075da94f5053e3608..726f7471bdbbc784cb4d370e411d3c1634df9c58 100644
--- a/src/include/Configuration.h
+++ b/src/include/Configuration.h
@@ -30,6 +30,8 @@
#ifndef INCLUDE_CONFIGURATION_H_
#define INCLUDE_CONFIGURATION_H_
+class mixMPI;
+
/**
* \brief A class to represent the configuration of the scattering geometry.
*
@@ -199,6 +201,25 @@ public:
*/
GeometryConfiguration(const GeometryConfiguration& rhs);
+#ifdef MPI_VERSION
+ /*! \brief Build a scattering geometry configuration structure copying it via MPI from MPI process 0.
+ *
+ * \param rhs: `mixMPI *` pointer to the mpidata instance to use for the MPI communications.
+ */
+ GeometryConfiguration(const mixMPI *mpidata);
+
+ /*! \brief Broadcast over MPI the GeometryConfiguration instance from MPI process 0 to all others.
+ *
+ * When using MPI, the initial GeometryConfiguration instance created by MPI process 0
+ * needs to be replicated on all other processes. This function sends it using
+ * MPI broadcast calls. The MPI broadcast calls in this function must match those
+ * in the constructor using the mixMPI pointer.
+ *
+ * \param mpidata: `mixMPI *` Pointer to the mpi structure used to do the MPI broadcast.
+ */
+ void mpibcast(const mixMPI *mpidata);
+#endif
+
/*! \brief Destroy a GeometryConfiguration instance.
*/
~GeometryConfiguration();
@@ -245,6 +266,7 @@ public:
* \return scale: `double` The Z coordinate of the requested sphere.
*/
double get_sph_z(int index) { return _sph_z[index]; }
+
};
/**
@@ -402,6 +424,25 @@ public:
*/
ScattererConfiguration(const ScattererConfiguration& rhs);
+#ifdef MPI_VERSION
+ /*! \brief Build a scatterer configuration structure copying it via MPI from MPI process 0.
+ *
+ * \param rhs: `mixMPI *` pointer to the mpidata instance to use for the MPI communications.
+ */
+ ScattererConfiguration(const mixMPI *mpidata);
+
+ /*! \brief Broadcast over MPI the ScattererConfiguration instance from MPI process 0 to all others.
+ *
+ * When using MPI, the initial ScattererConfiguration instance created by MPI process 0
+ * needs to be replicated on all other processes. This function sends it using
+ * MPI broadcast calls. The MPI broadcast calls in this function must match those
+ * in the constructor using the mixMPI pointer.
+ *
+ * \param mpidata: `mixMPI *` Pointer to the mpi structure used to do the MPI broadcast.
+ */
+ void mpibcast(const mixMPI *mpidata);
+#endif
+
/*! \brief Destroy a scatterer configuration instance.
*/
~ScattererConfiguration();
@@ -561,6 +602,7 @@ public:
* \return result: `bool` True, if the two instances are equal, false otherwise.
*/
bool operator ==(const ScattererConfiguration &other);
+
};
#endif
diff --git a/src/libnptm/Commons.cpp b/src/libnptm/Commons.cpp
index cff015719fd91bdb76e8072da99a0fce058fce17..694854ec9589e55470f7baf00e73da801484f392 100644
--- a/src/libnptm/Commons.cpp
+++ b/src/libnptm/Commons.cpp
@@ -16,6 +16,10 @@
#include "../include/Commons.h"
#endif
+#ifdef USE_MPI
+#include <mpi.h>
+#endif
+
C1::C1(GeometryConfiguration *gconf, ScattererConfiguration *sconf) {
lm = gconf->l_max;
int li = gconf->li;
@@ -92,22 +96,25 @@ C1::C1(const C1& rhs) {
vec_rmi = new dcomplex[nsph * lm]();
vec_rei = new dcomplex[nsph * lm]();
+ for (long li=0; li<(nsph*lm); li++) {
+ vec_rmi[li] = rhs.vec_rmi[li];
+ vec_rei[li] = rhs.vec_rei[li];
+ }
rmi = new dcomplex*[lm];
rei = new dcomplex*[lm];
for (int ri = 0; ri < lm; ri++) {
rmi[ri] = &(vec_rmi[nsph * ri]);
rei[ri] = &(vec_rei[nsph * ri]);
- /*! Copy the contents from the template */
- for (int rj=0; rj<nsph; rj++) {
- rmi[ri][rj] = rhs.rmi[ri][rj];
- rei[ri][rj] = rhs.rei[ri][rj];
- }
+ /*! The contents were already copied via vec_rmi and vec_rei */
}
vec_w = new dcomplex[4 * nlmmt]();
+ for (long li=0; li<(4*nlmmt); li++) {
+ vec_w[li] = rhs.vec_w[li];
+ }
w = new dcomplex*[nlmmt];
for (int wi = 0; wi < nlmmt; wi++) {
w[wi] = &(vec_w[4 * wi]);
- for (int wj=0; wj<4; wj++) w[wi][wj] = rhs.w[wi][wj];
+ /*! The contents were already copied via vec_w */
}
configurations = rhs.configurations;
vint = new dcomplex[16]();
@@ -165,6 +172,117 @@ C1::C1(const C1& rhs) {
}
}
+#ifdef MPI_VERSION
+C1::C1(const mixMPI *mpidata) {
+ MPI_Bcast(&nlmmt, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nsph, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lm, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ vec_rmi = new dcomplex[nsph * lm]();
+ vec_rei = new dcomplex[nsph * lm]();
+ MPI_Bcast(vec_rmi, nsph*lm, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(vec_rei, nsph*lm, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ rmi = new dcomplex*[lm];
+ rei = new dcomplex*[lm];
+ for (int ri = 0; ri < lm; ri++) {
+ rmi[ri] = &(vec_rmi[nsph * ri]);
+ rei[ri] = &(vec_rei[nsph * ri]);
+ /*! The contents were copied already via vec_rmi and vec_rei */
+ }
+ vec_w = new dcomplex[4 * nlmmt]();
+ MPI_Bcast(vec_w, 4*nlmmt, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ w = new dcomplex*[nlmmt];
+ for (int wi = 0; wi < nlmmt; wi++) {
+ w[wi] = &(vec_w[4 * wi]);
+ /*! The contents were copied already via vec_w */
+ }
+ MPI_Bcast(&configurations, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ vint = new dcomplex[16]();
+ MPI_Bcast(vint, 16, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ vec_vints = new dcomplex[nsph * 16]();
+ MPI_Bcast(vec_vints, nsph*16, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ vints = new dcomplex*[nsph];
+ rc = new double*[nsph];
+ nshl = new int[nsph]();
+ MPI_Bcast(nshl, nsph, MPI_INT, 0, MPI_COMM_WORLD);
+ iog = new int[nsph]();
+ MPI_Bcast(iog, nsph, MPI_INT, 0, MPI_COMM_WORLD);
+ for (int vi = 0; vi < nsph; vi++) {
+ vints[vi] = &(vec_vints[16 * vi]);
+ // The contents were copied already via vec_vints
+ }
+ for (int ri=0; ri<configurations; ri++) {
+ rc[ri] = new double[nshl[ri]]();
+ MPI_Bcast(rc[ri], nshl[ri], MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ }
+ fsas = new dcomplex[nsph]();
+ sscs = new double[nsph]();
+ sexs = new double[nsph]();
+ sabs = new double[nsph]();
+ sqscs = new double[nsph]();
+ sqexs = new double[nsph]();
+ sqabs = new double[nsph]();
+ gcsv = new double[nsph]();
+ rxx = new double[nsph]();
+ ryy = new double[nsph]();
+ rzz = new double[nsph]();
+ ros = new double[nsph]();
+ MPI_Bcast(fsas, nsph, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(sscs, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(sexs, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(sabs, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(sqscs, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(sqexs, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(sqabs, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(gcsv, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(rxx, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(ryy, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(rzz, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(ros, configurations, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ sas = new dcomplex**[nsph];
+ for (int si = 0; si < nsph; si++) {
+ sas[si] = new dcomplex*[2];
+ for (int sj=0; sj<2; sj++) {
+ sas[si][sj] = new dcomplex[2]();
+ MPI_Bcast(sas[si][sj], 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+ }
+}
+
+void C1::mpibcast(const mixMPI *mpidata) {
+ MPI_Bcast(&nlmmt, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nsph, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lm, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(vec_rmi, nsph*lm, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(vec_rei, nsph*lm, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(vec_w, 4*nlmmt, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&configurations, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(vint, 16, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(vec_vints, nsph*16, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(nshl, nsph, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(iog, nsph, MPI_INT, 0, MPI_COMM_WORLD);
+ for (int ri=0; ri<configurations; ri++) {
+ MPI_Bcast(rc[ri], nshl[ri], MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ }
+ MPI_Bcast(fsas, nsph, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(sscs, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(sexs, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(sabs, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(sqscs, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(sqexs, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(sqabs, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(gcsv, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(rxx, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(ryy, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(rzz, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(ros, configurations, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ for (int si = 0; si < nsph; si++) {
+ for (int sj=0; sj<2; sj++) {
+ MPI_Bcast(sas[si][sj], 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+ }
+}
+#endif
+
C1::~C1() {
delete[] vec_rmi;
delete[] vec_rei;
@@ -358,6 +476,122 @@ C1_AddOns::~C1_AddOns() {
delete[] ecsc;
}
+#ifdef MPI_VERSION
+C1_AddOns::C1_AddOns(const mixMPI *mpidata) {
+ MPI_Bcast(&nsph, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lmpo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nlemt, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&litpo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lmtpo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&litpos, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lmtpos, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nv3j, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lm, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ int vhsize=(nsph * nsph - 1) * litpo;
+ vh = new dcomplex[vhsize]();
+ MPI_Bcast(vh, vhsize, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ int vj0size=nsph * lmtpo;
+ vj0 = new dcomplex[vj0size]();
+ MPI_Bcast(vj0, vj0size, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ vj = new dcomplex[1](); // QUESTION: is 1 really enough for a general case?
+ MPI_Bcast(vj, 1, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ int vyhjsize=(nsph * nsph - 1) * litpos;
+ vyhj = new dcomplex[vyhjsize]();
+ MPI_Bcast(vyhj, vyhjsize, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ int vyj0size = nsph * lmtpos;
+ vyj0 = new dcomplex[vyj0size]();
+ MPI_Bcast(vyj0, vyj0size, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ am0v = new dcomplex[nlemt * nlemt]();
+ am0m = new dcomplex*[nlemt];
+ MPI_Bcast(am0v, nlemt*nlemt, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ for (int ai = 0; ai < nlemt; ai++) {
+ am0m[ai] = (am0v + nlemt * ai);
+ }
+ vintm = new dcomplex[16]();
+ vintt = new dcomplex[16]();
+ MPI_Bcast(vintm, 16, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(vintt, 16, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ fsac = new dcomplex*[2];
+ sac = new dcomplex*[2];
+ fsacm = new dcomplex*[2];
+ for (int fi = 0; fi < 2; fi++) {
+ fsac[fi] = new dcomplex[2]();
+ sac[fi] = new dcomplex[2]();
+ fsacm[fi] = new dcomplex[2]();
+ MPI_Bcast(fsac[fi], 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(sac[fi], 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(fsacm[fi], 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+ scscp = new dcomplex[2]();
+ ecscp = new dcomplex[2]();
+ scscpm = new dcomplex[2]();
+ ecscpm = new dcomplex[2]();
+ MPI_Bcast(scscp, 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(ecscp, 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(scscpm, 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(ecscpm, 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ v3j0 = new double[nv3j]();
+ MPI_Bcast(v3j0, nv3j, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ ind3j = new int*[lmpo];
+ for (int ii = 0; ii < lmpo; ii++) {
+ ind3j[ii] = new int[lm]();
+ MPI_Bcast(ind3j[ii], lm, MPI_INT, 0, MPI_COMM_WORLD);
+ }
+ sscs = new double[nsph]();
+ MPI_Bcast(sscs, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ ecscm = new double[2]();
+ scscm = new double[2]();
+ scsc = new double[2]();
+ ecsc = new double[2]();
+ MPI_Bcast(ecscm, 2, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(scscm, 2, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(scsc, 2, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(ecsc, 2, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+}
+
+void C1_AddOns::mpibcast(const mixMPI *mpidata) {
+ MPI_Bcast(&nsph, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lmpo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nlemt, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&litpo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lmtpo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&litpos, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lmtpos, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nv3j, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lm, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ int vhsize=(nsph * nsph - 1) * litpo;
+ MPI_Bcast(vh, vhsize, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ int vj0size=nsph * lmtpo;
+ MPI_Bcast(vj0, vj0size, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(vj, 1, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ int vyhjsize=(nsph * nsph - 1) * litpos;
+ MPI_Bcast(vyhj, vyhjsize, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ int vyj0size = nsph * lmtpos;
+ MPI_Bcast(vyj0, vyj0size, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(am0v, nlemt*nlemt, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(vintm, 16, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(vintt, 16, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ for (int fi = 0; fi < 2; fi++) {
+ MPI_Bcast(fsac[fi], 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(sac[fi], 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(fsacm[fi], 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+ MPI_Bcast(scscp, 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(ecscp, 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(scscpm, 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(ecscpm, 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(v3j0, nv3j, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ for (int ii = 0; ii < lmpo; ii++) {
+ MPI_Bcast(ind3j[ii], lm, MPI_INT, 0, MPI_COMM_WORLD);
+ }
+ MPI_Bcast(sscs, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(ecscm, 2, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(scscm, 2, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(scsc, 2, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(ecsc, 2, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+}
+#endif
+
C2::C2(GeometryConfiguration *gconf, ScattererConfiguration *sconf) {
nsph = gconf->number_of_spheres;
int npnt = gconf->npnt;
@@ -401,6 +635,35 @@ C2::~C2() {
delete[] vsz;
}
+#ifdef MPI_VERSION
+C2::C2(const mixMPI *mpidata) {
+ MPI_Bcast(&nsph, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nhspo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nl, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ ris = new dcomplex[nhspo]();
+ dlri = new dcomplex[nhspo]();
+ MPI_Bcast(ris, nhspo, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(dlri, nhspo, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ vkt = new dcomplex[nsph]();
+ vsz = new double[nsph]();
+ MPI_Bcast(vkt, nsph, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(vsz, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ dc0 = new dcomplex[nl]();
+ MPI_Bcast(dc0, nl, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+}
+
+void C2::mpibcast(const mixMPI *mpidata) {
+ MPI_Bcast(&nsph, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nhspo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nl, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(ris, nhspo, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(dlri, nhspo, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(vkt, nsph, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(vsz, nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(dc0, nl, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+}
+#endif
+
C3::C3() {
tsas = new dcomplex*[2];
tsas[0] = new dcomplex[2];
@@ -431,6 +694,32 @@ C3::~C3() {
delete[] tsas;
}
+#ifdef MPI_VERSION
+C3::C3(const mixMPI *mpidata) {
+ tsas = new dcomplex*[2];
+ for (int ti=0; ti<2; ti++) {
+ tsas[ti] = new dcomplex[2];
+ MPI_Bcast(tsas[ti], 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+ MPI_Bcast(&tfsas, 1, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&gcs, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&scs, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&ecs, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&acs, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+}
+
+void C3::mpibcast(const mixMPI *mpidata) {
+ for (int ti=0; ti<2; ti++) {
+ MPI_Bcast(tsas[ti], 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+ MPI_Bcast(&tfsas, 1, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&gcs, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&scs, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&ecs, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&acs, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+}
+#endif
+
C4::C4(GeometryConfiguration *gconf) {
li = gconf->li;
le = gconf->le;
@@ -466,6 +755,40 @@ C4::C4(const C4& rhs) {
C4::~C4() {
}
+#ifdef MPI_VERSION
+C4::C4(const mixMPI *mpidata) {
+ MPI_Bcast(&li, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&le, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lm, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nv3j, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nsph, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ // The following is needed to initialize C1_AddOns
+ MPI_Bcast(&litpo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&litpos, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lmtpo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lmtpos, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nlim, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nlem, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lmpo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+}
+
+void C4::mpibcast(const mixMPI *mpidata) {
+ MPI_Bcast(&li, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&le, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lm, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nv3j, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nsph, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ // The following is needed to initialize C1_AddOns
+ MPI_Bcast(&litpo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&litpos, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lmtpo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lmtpos, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nlim, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nlem, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&lmpo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+}
+#endif
+
C6::C6(int _lmtpo) {
lmtpo = _lmtpo;
rac3j = new double[lmtpo]();
@@ -481,6 +804,19 @@ C6::~C6() {
delete[] rac3j;
}
+#ifdef MPI_VERSION
+C6::C6(const mixMPI *mpidata) {
+ MPI_Bcast(&lmtpo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ rac3j = new double[lmtpo]();
+ MPI_Bcast(rac3j, lmtpo, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+}
+
+void C6::mpibcast(const mixMPI *mpidata) {
+ MPI_Bcast(&lmtpo, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(rac3j, lmtpo, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+}
+#endif
+
C9::C9(int ndi, int _nlem, int ndit, int _nlemt) {
gis_size_0 = ndi;
sam_size_0 = ndit;
@@ -529,7 +865,68 @@ C9::~C9() {
delete[] sam;
}
-ClusterIterationData::ClusterIterationData(GeometryConfiguration *gconf, ScattererConfiguration *sconf) {
+#ifdef MPI_VERSION
+C9::C9(const mixMPI *mpidata) {
+ MPI_Bcast(&gis_size_0, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&sam_size_0, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nlem, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nlemt, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ gis = new dcomplex*[gis_size_0];
+ gls = new dcomplex*[gis_size_0];
+ for (int gi = 0; gi < gis_size_0; gi++) {
+ gis[gi] = new dcomplex[nlem]();
+ gls[gi] = new dcomplex[nlem]();
+ MPI_Bcast(gis[gi], nlem, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(gls[gi], nlem, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+ sam = new dcomplex*[sam_size_0];
+ for (int si = 0; si < sam_size_0; si++) {
+ sam[si] = new dcomplex[nlemt]();
+ MPI_Bcast(sam[si], nlemt, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+}
+
+void C9::mpibcast(const mixMPI *mpidata) {
+ MPI_Bcast(&gis_size_0, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&sam_size_0, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nlem, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&nlemt, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ for (int gi = 0; gi < gis_size_0; gi++) {
+ MPI_Bcast(gis[gi], nlem, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(gls[gi], nlem, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+ for (int si = 0; si < sam_size_0; si++) {
+ MPI_Bcast(sam[si], nlemt, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+}
+#endif
+
+mixMPI::mixMPI() {
+ mpirunning = 0;
+ rank = 0;
+ nprocs = 1;
+}
+
+#ifdef MPI_VERSION
+mixMPI::mixMPI(MPI_Comm comm){
+ mpirunning = 1;
+ int ierr;
+ // we should add some meaningful error checking and management here
+ ierr = MPI_Comm_rank(MPI_COMM_WORLD, &rank);
+ ierr = MPI_Comm_size(MPI_COMM_WORLD, &nprocs);
+}
+#endif
+
+mixMPI::mixMPI(const mixMPI& rhs) {
+ mpirunning = rhs.mpirunning;
+ rank = rhs.rank;
+ nprocs = rhs.nprocs;
+}
+
+mixMPI::~mixMPI() {
+}
+
+ClusterIterationData::ClusterIterationData(GeometryConfiguration *gconf, ScattererConfiguration *sconf, const mixMPI *mpidata) {
c1 = new C1(gconf, sconf);
c2 = new C2(gconf, sconf);
c3 = new C3();
@@ -623,6 +1020,11 @@ ClusterIterationData::ClusterIterationData(GeometryConfiguration *gconf, Scatter
xip = sconf->xip;
sqsfi = 1.0;
vk = 0.0;
+ number_of_scales = sconf->number_of_scales;
+ xiblock = (int) ceil(((double) (sconf->number_of_scales-1))/((double) mpidata->nprocs));
+ lastxi = ((mpidata->rank+1) * xiblock)+1;
+ firstxi = lastxi-xiblock+1;
+ if (lastxi > sconf->number_of_scales) lastxi = sconf->number_of_scales;
}
ClusterIterationData::ClusterIterationData(const ClusterIterationData& rhs) {
@@ -767,8 +1169,220 @@ ClusterIterationData::ClusterIterationData(const ClusterIterationData& rhs) {
xip = rhs.xip;
sqsfi = rhs.sqsfi;
vk = rhs.vk;
+ firstxi = rhs.firstxi;
+ lastxi = rhs.lastxi;
}
+#ifdef MPI_VERSION
+ClusterIterationData::ClusterIterationData(const mixMPI *mpidata) {
+ c1 = new C1(mpidata);
+ c2 = new C2(mpidata);
+ c3 = new C3(mpidata);
+ c4 = new C4(mpidata);
+ c1ao = new C1_AddOns(mpidata);
+ c6 = new C6(mpidata);
+ const int ndi = c4->nsph * c4->nlim;
+ const np_int ndit = 2 * ndi;
+ c9 = new C9(mpidata);
+ gaps = new double[c4->nsph]();
+ MPI_Bcast(gaps, c4->nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ tqev = new double[3]();
+ tqsv = new double[3]();
+ MPI_Bcast(tqev, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqsv, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ tqse = new double*[2];
+ tqspe = new dcomplex*[2];
+ tqss = new double*[2];
+ tqsps = new dcomplex*[2];
+ tqce = new double*[2];
+ tqcpe = new dcomplex*[2];
+ tqcs = new double*[2];
+ tqcps = new dcomplex*[2];
+ for (int ti = 0; ti < 2; ti++) {
+ tqse[ti] = new double[c4->nsph]();
+ tqspe[ti] = new dcomplex[c4->nsph]();
+ tqss[ti] = new double[c4->nsph]();
+ tqsps[ti] = new dcomplex[c4->nsph]();
+ MPI_Bcast(tqse[ti], c4->nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqspe[ti], c4->nsph, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqss[ti], c4->nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqsps[ti], c4->nsph, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ tqce[ti] = new double[3]();
+ tqcpe[ti] = new dcomplex[3]();
+ tqcs[ti] = new double[3]();
+ tqcps[ti] = new dcomplex[3]();
+ MPI_Bcast(tqce[ti], 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqcpe[ti], 3, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqcs[ti], 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqcps[ti], 3, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+ gapv = new double[3]();
+ gapp = new dcomplex*[3];
+ gappm = new dcomplex*[3];
+ gap = new double*[3];
+ gapm = new double*[3];
+ MPI_Bcast(gapv, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ for (int gi = 0; gi < 3; gi++) {
+ gapp[gi] = new dcomplex[2]();
+ gappm[gi] = new dcomplex[2]();
+ gap[gi] = new double[2]();
+ gapm[gi] = new double[2]();
+ MPI_Bcast(gapp[gi], 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(gappm[gi], 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(gap[gi], 2, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(gapm[gi], 2, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ }
+ u = new double[3]();
+ us = new double[3]();
+ un = new double[3]();
+ uns = new double[3]();
+ up = new double[3]();
+ ups = new double[3]();
+ unmp = new double[3]();
+ unsmp = new double[3]();
+ upmp = new double[3]();
+ upsmp = new double[3]();
+ duk = new double[3]();
+ MPI_Bcast(u, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(us, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(un, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(uns, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(up, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(ups, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(unmp, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(unsmp, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(upmp, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(upsmp, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(duk, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ argi = new double[1]();
+ args = new double[1]();
+ MPI_Bcast(argi, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(args, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ cextlr = new double*[4];
+ cext = new double*[4];
+ cmullr = new double*[4];;
+ cmul = new double*[4];
+ for (int ci = 0; ci < 4; ci++) {
+ cextlr[ci] = new double[4]();
+ cext[ci] = new double[4]();
+ cmullr[ci] = new double[4]();
+ cmul[ci] = new double[4]();
+ MPI_Bcast(cextlr[ci], 4, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(cext[ci], 4, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(cmullr[ci], 4, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(cmul[ci], 4, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ }
+ zpv = new double***[c4->lm];
+ for (int zi = 0; zi < c4->lm; zi++) {
+ zpv[zi] = new double**[3];
+ for (int zj = 0; zj < 3; zj++) {
+ zpv[zi][zj] = new double*[2];
+ for (int zk = 0; zk < 2; zk++) {
+ zpv[zi][zj][zk] = new double[2]();
+ MPI_Bcast(zpv[zi][zj][zk], 2, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ }
+ }
+ }
+ am_vector = new dcomplex[ndit * ndit]();
+ am = new dcomplex*[ndit];
+ for (np_int ai = 0; ai < ndit; ai++) {
+ am[ai] = (am_vector + ai * ndit);
+ MPI_Bcast(am[ai], ndit, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+ MPI_Bcast(&arg, 1, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&scan, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&cfmp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&sfmp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&cfsp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&sfsp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&qsfi, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&wn, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&xip, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&sqsfi, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&vk, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&xiblock, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&number_of_scales, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ lastxi = ((mpidata->rank+1) * xiblock)+1;
+ firstxi = lastxi-xiblock+1;
+ if (lastxi > number_of_scales) lastxi = number_of_scales;
+}
+
+void ClusterIterationData::mpibcast(const mixMPI *mpidata) {
+ c1->mpibcast(mpidata);
+ c2->mpibcast(mpidata);
+ c3->mpibcast(mpidata);
+ c4->mpibcast(mpidata);
+ c1ao->mpibcast(mpidata);
+ c6->mpibcast(mpidata);
+ const int ndi = c4->nsph * c4->nlim;
+ const np_int ndit = 2 * ndi;
+ c9->mpibcast(mpidata);
+ MPI_Bcast(gaps, c4->nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqev, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqsv, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ for (int ti = 0; ti < 2; ti++) {
+ MPI_Bcast(tqse[ti], c4->nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqspe[ti], c4->nsph, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqss[ti], c4->nsph, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqsps[ti], c4->nsph, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqce[ti], 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqcpe[ti], 3, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqcs[ti], 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(tqcps[ti], 3, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+ MPI_Bcast(gapv, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ for (int gi = 0; gi < 3; gi++) {
+ MPI_Bcast(gapp[gi], 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(gappm[gi], 2, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(gap[gi], 2, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(gapm[gi], 2, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ }
+ MPI_Bcast(u, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(us, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(un, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(uns, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(up, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(ups, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(unmp, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(unsmp, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(upmp, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(upsmp, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(duk, 3, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(argi, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(args, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ for (int ci = 0; ci < 4; ci++) {
+ MPI_Bcast(cextlr[ci], 4, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(cext[ci], 4, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(cmullr[ci], 4, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(cmul[ci], 4, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ }
+ for (int zi = 0; zi < c4->lm; zi++) {
+ for (int zj = 0; zj < 3; zj++) {
+ for (int zk = 0; zk < 2; zk++) {
+ MPI_Bcast(zpv[zi][zj][zk], 2, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ }
+ }
+ }
+ // since MPI expects an int argument for the number of elements to transfer in one go, transfer am one row at a time
+ for (int ai = 0; ai < ndit; ai++) {
+ MPI_Bcast(am[ai], ndit, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+ MPI_Bcast(&arg, 1, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&scan, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&cfmp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&sfmp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&cfsp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&sfsp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&qsfi, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&wn, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&xip, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&sqsfi, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&vk, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&xiblock, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&number_of_scales, 1, MPI_INT, 0, MPI_COMM_WORLD);
+}
+#endif
+
ClusterIterationData::~ClusterIterationData() {
const int nsph = c4->nsph;
delete[] am_vector;
@@ -912,3 +1526,51 @@ ScatteringAngles::ScatteringAngles(const ScatteringAngles &rhs) {
_nks = rhs._nks;
_nkks = rhs._nkks;
}
+
+#ifdef MPI_VERSION
+ScatteringAngles::ScatteringAngles(const mixMPI *mpidata) {
+ MPI_Bcast(&_th, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_thstp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_thlst, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_ths, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_thsstp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_thslst, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_ph, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_phstp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_phlst, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_phs, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_phsstp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_phslst, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_nth, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_nph, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_nths, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_nphs, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_thsca, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_nk, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_nks, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_nkks, 1, MPI_INT, 0, MPI_COMM_WORLD);
+}
+
+void ScatteringAngles::mpibcast(const mixMPI *mpidata) {
+ MPI_Bcast(&_th, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_thstp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_thlst, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_ths, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_thsstp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_thslst, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_ph, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_phstp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_phlst, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_phs, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_phsstp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_phslst, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_nth, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_nph, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_nths, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_nphs, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_thsca, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_nk, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_nks, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_nkks, 1, MPI_INT, 0, MPI_COMM_WORLD);
+}
+#endif
diff --git a/src/libnptm/Configuration.cpp b/src/libnptm/Configuration.cpp
index 704d4eca13b96e486c332c3982bf18f861f31c2f..79968b97e885238e85ea62a8a69c42438bea7652 100644
--- a/src/libnptm/Configuration.cpp
+++ b/src/libnptm/Configuration.cpp
@@ -12,6 +12,12 @@
#include <hdf5.h>
#include <regex>
#include <string>
+#include <string.h>
+#ifdef USE_MPI
+#ifndef MPI_VERSION
+#include <mpi.h>
+#endif
+#endif
#ifndef INCLUDE_TYPES_H_
#include "../include/types.h"
@@ -33,6 +39,10 @@
#include "../include/Configuration.h"
#endif
+#ifndef INCLUDE_COMMONS_H
+#include "../include/Commons.h"
+#endif
+
#ifndef INCLUDE_FILE_IO_H_
#include "../include/file_io.h"
#endif
@@ -48,7 +58,7 @@ GeometryConfiguration::GeometryConfiguration(
double in_ph_start, double in_ph_step, double in_ph_end,
double sc_ph_start, double sc_ph_step, double sc_ph_end,
int jwtm
-) {
+ ) {
_number_of_spheres = nsph;
_l_max = lm;
_in_pol = in_pol;
@@ -112,6 +122,73 @@ GeometryConfiguration::GeometryConfiguration(const GeometryConfiguration& rhs)
}
}
+#ifdef MPI_VERSION
+GeometryConfiguration::GeometryConfiguration(const mixMPI *mpidata) {
+ MPI_Bcast(&_number_of_spheres, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_l_max, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_in_pol, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_npnt, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_npntts, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_isam, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_li, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_le, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ // I have to jump through some hoops because the size of np_int is not fixed a priori
+ char *byte_mxndm = (char *) &_mxndm;
+ MPI_Bcast(byte_mxndm, sizeof(np_int), MPI_BYTE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_iavm, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_in_theta_start, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_in_theta_step, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_in_theta_end, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_in_phi_start, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_in_phi_step, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_in_phi_end, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_sc_theta_start, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_sc_theta_step, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_sc_theta_end, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_sc_phi_start, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_sc_phi_step, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_sc_phi_end, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_jwtm, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ _sph_x = new double[_number_of_spheres]();
+ _sph_y = new double[_number_of_spheres]();
+ _sph_z = new double[_number_of_spheres]();
+ MPI_Bcast(_sph_x, _number_of_spheres, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(_sph_y, _number_of_spheres, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(_sph_z, _number_of_spheres, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+}
+
+void GeometryConfiguration::mpibcast(const mixMPI *mpidata) {
+ MPI_Bcast(&_number_of_spheres, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_l_max, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_in_pol, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_npnt, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_npntts, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_isam, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_li, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_le, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ // I have to jump through some hoops because the size of np_int is not fixed a priori
+ char *byte_mxndm = (char *) &_mxndm;
+ MPI_Bcast(byte_mxndm, sizeof(np_int), MPI_BYTE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_iavm, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_in_theta_start, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_in_theta_step, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_in_theta_end, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_in_phi_start, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_in_phi_step, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_in_phi_end, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_sc_theta_start, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_sc_theta_step, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_sc_theta_end, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_sc_phi_start, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_sc_phi_step, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_sc_phi_end, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_jwtm, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(_sph_x, _number_of_spheres, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(_sph_y, _number_of_spheres, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(_sph_z, _number_of_spheres, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+}
+#endif
+
GeometryConfiguration::~GeometryConfiguration() {
delete[] _sph_x;
delete[] _sph_y;
@@ -229,7 +306,7 @@ GeometryConfiguration* GeometryConfiguration::from_legacy(const std::string& fil
in_ph_start, in_ph_step, in_ph_end,
sc_ph_start, sc_ph_step, sc_ph_end,
fjwtm
- );
+ );
delete[] file_lines;
return conf;
}
@@ -250,7 +327,7 @@ ScattererConfiguration::ScattererConfiguration(
double ex,
double w,
double x
-) {
+ ) {
_number_of_spheres = nsph;
_configurations = configs;
_number_of_scales = nxi;
@@ -281,7 +358,7 @@ ScattererConfiguration::ScattererConfiguration(
}
}
}
-
+
ScattererConfiguration::ScattererConfiguration(const ScattererConfiguration& rhs)
{
_number_of_spheres = rhs._number_of_spheres;
@@ -317,6 +394,77 @@ ScattererConfiguration::ScattererConfiguration(const ScattererConfiguration& rhs
}
}
+#ifdef MPI_VERSION
+ScattererConfiguration::ScattererConfiguration(const mixMPI *mpidata)
+{
+ MPI_Bcast(&_number_of_spheres, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_configurations, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_number_of_scales, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ int itemp;
+ MPI_Bcast(&itemp, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ char *ctemp = new char[itemp];
+ MPI_Bcast(ctemp, itemp, MPI_CHAR, 0, MPI_COMM_WORLD);
+ _reference_variable_name = ctemp;
+ delete[] ctemp;
+ MPI_Bcast(&_idfc, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ itemp = sizeof(bool);
+ char *ptemp = (char *) &_use_external_sphere;
+ MPI_Bcast(ptemp, itemp, MPI_CHAR, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_exdc, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_wp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_xip, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ _iog_vec = new int[_number_of_spheres]();
+ MPI_Bcast(_iog_vec, _number_of_spheres, MPI_INT, 0, MPI_COMM_WORLD);
+ _radii_of_spheres = new double[_number_of_spheres]();
+ MPI_Bcast(_radii_of_spheres, _configurations, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ _nshl_vec = new int[_configurations]();
+ MPI_Bcast(_nshl_vec, _configurations, MPI_INT, 0, MPI_COMM_WORLD);
+ _rcf = new double*[_configurations];
+ _scale_vec = new double[_number_of_scales]();
+ _dc0_matrix = new dcomplex**[_configurations];
+ MPI_Bcast(_scale_vec, _number_of_scales, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ int dim3 = (_idfc == 0) ? _number_of_scales : 1;
+ for (int si = 0; si < _configurations; si++) {
+ _rcf[si] = new double[_nshl_vec[si]]();
+ MPI_Bcast(_rcf[si], _nshl_vec[si], MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ _dc0_matrix[si] = new dcomplex*[_number_of_spheres];
+ for (int sj = 0; sj < _number_of_spheres; sj++) {
+ _dc0_matrix[si][sj] = new dcomplex[dim3]();
+ MPI_Bcast(_dc0_matrix[si][sj], dim3, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+ }
+}
+
+void ScattererConfiguration::mpibcast(const mixMPI *mpidata) {
+ MPI_Bcast(&_number_of_spheres, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_configurations, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_number_of_scales, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ int itemp = _reference_variable_name.length()+1;
+ MPI_Bcast(&itemp, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ char *ctemp = strdup(_reference_variable_name.c_str());
+ MPI_Bcast(ctemp, itemp, MPI_CHAR, 0, MPI_COMM_WORLD);
+ delete[] ctemp;
+ MPI_Bcast(&_idfc, 1, MPI_INT, 0, MPI_COMM_WORLD);
+ itemp = sizeof(bool);
+ char *ptemp = (char *) &_use_external_sphere;
+ MPI_Bcast(ptemp, itemp, MPI_CHAR, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_exdc, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_wp, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(&_xip, 1, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(_iog_vec, _number_of_spheres, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(_radii_of_spheres, _configurations, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ MPI_Bcast(_nshl_vec, _configurations, MPI_INT, 0, MPI_COMM_WORLD);
+ MPI_Bcast(_scale_vec, _number_of_scales, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ int dim3 = (_idfc == 0) ? _number_of_scales : 1;
+ for (int si = 0; si < _configurations; si++) {
+ MPI_Bcast(_rcf[si], _nshl_vec[si], MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ for (int sj = 0; sj < _number_of_spheres; sj++) {
+ MPI_Bcast(_dc0_matrix[si][sj], dim3, MPI_C_DOUBLE_COMPLEX, 0, MPI_COMM_WORLD);
+ }
+ }
+}
+#endif
+
ScattererConfiguration::~ScattererConfiguration() {
for (int i = 0; i < _configurations; i++) {
for (int j = 0; j < _number_of_spheres; j++) {
@@ -605,7 +753,7 @@ ScattererConfiguration* ScattererConfiguration::from_dedfb(const std::string& de
fexdc,
fwp,
fxip
- );
+ );
delete[] file_lines;
delete[] variable_vector;
return config;
@@ -663,7 +811,7 @@ ScattererConfiguration* ScattererConfiguration::from_hdf5(const std::string& fil
str_name = "XIVEC";
str_type = "FLOAT64_(" + to_string(nxi) + ")";
status = hdf_file->read(str_name, str_type, xi_vec);
-
+
int dim3 = (_idfc == 0) ? nxi : 1;
int element_size = 2 * dim3 * nsph * configuration_count;
double *elements = new double[element_size]();
@@ -702,7 +850,7 @@ ScattererConfiguration* ScattererConfiguration::from_hdf5(const std::string& fil
_exdc,
_wp,
_xip
- );
+ );
}
return conf;
@@ -791,12 +939,12 @@ ScattererConfiguration* ScattererConfiguration::from_legacy(const std::string& f
_exdc,
_wp,
_xip
- );
+ );
return conf;
}
/*
-double ScattererConfiguration::get_param(const std::string& param_name) {
+ double ScattererConfiguration::get_param(const std::string& param_name) {
double value;
if (param_name.compare("number_of_spheres") == 0) value = (double)number_of_spheres;
else if (param_name.compare("nsph") == 0) value = (double)number_of_spheres;
@@ -808,11 +956,11 @@ double ScattererConfiguration::get_param(const std::string& param_name) {
else if (param_name.compare("wp") == 0) value = wp;
else if (param_name.compare("xip") == 0) value = xip;
else {
- string message = "unrecognized parameter \"" + param_name + "\"";
- throw UnrecognizedParameterException(message);
+ string message = "unrecognized parameter \"" + param_name + "\"";
+ throw UnrecognizedParameterException(message);
}
return value;
-}
+ }
*/
void ScattererConfiguration::print() {
@@ -960,7 +1108,7 @@ void ScattererConfiguration::write_hdf5(const std::string& file_name) {
for (int ri = 0; ri < rec_num; ri++)
hdf_file->write(rec_names[ri], rec_types[ri], rec_pointers[ri]);
hdf_file->close();
-
+
// Clean memory
delete rec_name_list;
delete rec_type_list;
@@ -1057,7 +1205,7 @@ void ScattererConfiguration::write_formatted(const std::string& file_name) {
wl_vec[i],
pu_vec[i],
ev_vec[i]
- );
+ );
}
break;
case 1:
@@ -1077,7 +1225,7 @@ void ScattererConfiguration::write_formatted(const std::string& file_name) {
pu_vec[i],
ev_vec[i],
xi_vec[i]
- );
+ );
}
break;
case 2:
@@ -1097,7 +1245,7 @@ void ScattererConfiguration::write_formatted(const std::string& file_name) {
pu_vec[i],
ev_vec[i],
xi_vec[i]
- );
+ );
}
break;
case 3:
@@ -1117,7 +1265,7 @@ void ScattererConfiguration::write_formatted(const std::string& file_name) {
wl_vec[i],
ev_vec[i],
xi_vec[i]
- );
+ );
}
break;
case 4:
@@ -1137,7 +1285,7 @@ void ScattererConfiguration::write_formatted(const std::string& file_name) {
wl_vec[i],
pu_vec[i],
xi_vec[i]
- );
+ );
}
break;
default:
@@ -1256,3 +1404,4 @@ bool ScattererConfiguration::operator ==(const ScattererConfiguration &other) {
} // ri loop
return true;
}
+
diff --git a/src/libnptm/logging.cpp b/src/libnptm/logging.cpp
index a0246ceb75236840cf6323c0b85c4dd12714bac9..cbec205616d0572d30f93036a70d01f2b8ff6ea1 100644
--- a/src/libnptm/logging.cpp
+++ b/src/libnptm/logging.cpp
@@ -26,7 +26,7 @@ Logger::~Logger() {
}
void Logger::err(const std::string& message) {
-#pragma omp critical
+//#pragma omp critical
{
fprintf(err_output, "%s", message.c_str());
fflush(err_output);
@@ -34,7 +34,7 @@ void Logger::err(const std::string& message) {
}
void Logger::flush(int level) {
-#pragma omp critical
+//#pragma omp critical
{
string summary = "\"" + *last_message + "\" issued " + to_string(repetitions);
if (repetitions == 1) summary += " time.\n";
@@ -53,7 +53,7 @@ void Logger::flush(int level) {
}
void Logger::log(const std::string& message, int level) {
-#pragma omp critical
+//#pragma omp critical
{
if (level == LOG_ERRO) err(message);
else {
@@ -66,7 +66,7 @@ void Logger::log(const std::string& message, int level) {
}
void Logger::push(const std::string& message) {
-#pragma omp critical
+//#pragma omp critical
{
if (repetitions > 0) {
if (message.compare(*last_message) != 0) {
diff --git a/src/make.inc b/src/make.inc
index 88c109cc067b6e27e5c33ad5b7688dfd9fc9e91c..28cee0656e6208962ef313de67cad48cb6ff9580 100644
--- a/src/make.inc
+++ b/src/make.inc
@@ -30,8 +30,16 @@ endif
# CXX defines the default C++ compiler to use. If undefined, GNU Make tries to use g++
ifndef CXX
+ifdef USE_MPI
+override CXX=mpicxx
+else
override CXX=g++
endif
+endif
+
+ifdef USE_MPI
+override MPI_CXXFLAGS+=-DUSE_MPI
+endif
# HDF5_INCLUDE defines the default path to the HDF5 include files to use
ifndef HDF5_INCLUDE
@@ -73,7 +81,7 @@ endif
# CXXFLAGS defines the default compilation options for the C++ compiler
ifndef CXXFLAGS
-override CXXFLAGS=-O3 -ggdb -pg -coverage -I$(HDF5_INCLUDE)
+override CXXFLAGS=-O3 -ggdb -pg -coverage -I$(HDF5_INCLUDE) $(MPI_CXXFLAGS)
ifdef USE_OPENMP
override CXXFLAGS+= -fopenmp
endif
diff --git a/test_data/cluster/case_3/DCLU b/test_data/cluster/case_3/DCLU
new file mode 100644
index 0000000000000000000000000000000000000000..8bafb28ffae074f8fdd84d7b2fa8f4e5e838255a
--- /dev/null
+++ b/test_data/cluster/case_3/DCLU
@@ -0,0 +1,9 @@
+ 4 12 12 9200 0 149 300 0 0
+ 0.0000000D+00 0.0000000D+00 0.0000000D+00
+ -8.6999381D-09 -2.1432655D-08 2.1878060D-07
+ -1.1123930D-07 1.0519369D-07 1.7163947D-07
+ -6.8351972D-08 -1.5505574D-08 -2.3997413D-07
+ 0.00D01 1.00D01 5.00D01 0.00D00 1.00D01 5.00D01
+ 0.00D01 1.00D01 5.00D01 0.00D00 1.00D01 5.00D01
+ 1
+ 0
diff --git a/test_data/cluster/case_3/DEDFB b/test_data/cluster/case_3/DEDFB
new file mode 100644
index 0000000000000000000000000000000000000000..97e9d70bf3fdb02de33eb822430931022e280438
--- /dev/null
+++ b/test_data/cluster/case_3/DEDFB
@@ -0,0 +1,2016 @@
+ 4 0
+ 1.7689D00 3.0D8 1.000000D00 0 401 0 3
+ 400.0000000D-09
+ 401.0000000D-09
+ 402.0000000D-09
+ 403.0000000D-09
+ 404.0000000D-09
+ 405.0000000D-09
+ 406.0000000D-09
+ 407.0000000D-09
+ 408.0000000D-09
+ 409.0000000D-09
+ 410.0000000D-09
+ 411.0000000D-09
+ 412.0000000D-09
+ 413.0000000D-09
+ 414.0000000D-09
+ 415.0000000D-09
+ 416.0000000D-09
+ 417.0000000D-09
+ 418.0000000D-09
+ 419.0000000D-09
+ 420.0000000D-09
+ 421.0000000D-09
+ 422.0000000D-09
+ 423.0000000D-09
+ 424.0000000D-09
+ 425.0000000D-09
+ 426.0000000D-09
+ 427.0000000D-09
+ 428.0000000D-09
+ 429.0000000D-09
+ 430.0000000D-09
+ 431.0000000D-09
+ 432.0000000D-09
+ 433.0000000D-09
+ 434.0000000D-09
+ 435.0000000D-09
+ 436.0000000D-09
+ 437.0000000D-09
+ 438.0000000D-09
+ 439.0000000D-09
+ 440.0000000D-09
+ 441.0000000D-09
+ 442.0000000D-09
+ 443.0000000D-09
+ 444.0000000D-09
+ 445.0000000D-09
+ 446.0000000D-09
+ 447.0000000D-09
+ 448.0000000D-09
+ 449.0000000D-09
+ 450.0000000D-09
+ 451.0000000D-09
+ 452.0000000D-09
+ 453.0000000D-09
+ 454.0000000D-09
+ 455.0000000D-09
+ 456.0000000D-09
+ 457.0000000D-09
+ 458.0000000D-09
+ 459.0000000D-09
+ 460.0000000D-09
+ 461.0000000D-09
+ 462.0000000D-09
+ 463.0000000D-09
+ 464.0000000D-09
+ 465.0000000D-09
+ 466.0000000D-09
+ 467.0000000D-09
+ 468.0000000D-09
+ 469.0000000D-09
+ 470.0000000D-09
+ 471.0000000D-09
+ 472.0000000D-09
+ 473.0000000D-09
+ 474.0000000D-09
+ 475.0000000D-09
+ 476.0000000D-09
+ 477.0000000D-09
+ 478.0000000D-09
+ 479.0000000D-09
+ 480.0000000D-09
+ 481.0000000D-09
+ 482.0000000D-09
+ 483.0000000D-09
+ 484.0000000D-09
+ 485.0000000D-09
+ 486.0000000D-09
+ 487.0000000D-09
+ 488.0000000D-09
+ 489.0000000D-09
+ 490.0000000D-09
+ 491.0000000D-09
+ 492.0000000D-09
+ 493.0000000D-09
+ 494.0000000D-09
+ 495.0000000D-09
+ 496.0000000D-09
+ 497.0000000D-09
+ 498.0000000D-09
+ 499.0000000D-09
+ 500.0000000D-09
+ 501.0000000D-09
+ 502.0000000D-09
+ 503.0000000D-09
+ 504.0000000D-09
+ 505.0000000D-09
+ 506.0000000D-09
+ 507.0000000D-09
+ 508.0000000D-09
+ 509.0000000D-09
+ 510.0000000D-09
+ 511.0000000D-09
+ 512.0000000D-09
+ 513.0000000D-09
+ 514.0000000D-09
+ 515.0000000D-09
+ 516.0000000D-09
+ 517.0000000D-09
+ 518.0000000D-09
+ 519.0000000D-09
+ 520.0000000D-09
+ 521.0000000D-09
+ 522.0000000D-09
+ 523.0000000D-09
+ 524.0000000D-09
+ 525.0000000D-09
+ 526.0000000D-09
+ 527.0000000D-09
+ 528.0000000D-09
+ 529.0000000D-09
+ 530.0000000D-09
+ 531.0000000D-09
+ 532.0000000D-09
+ 533.0000000D-09
+ 534.0000000D-09
+ 535.0000000D-09
+ 536.0000000D-09
+ 537.0000000D-09
+ 538.0000000D-09
+ 539.0000000D-09
+ 540.0000000D-09
+ 541.0000000D-09
+ 542.0000000D-09
+ 543.0000000D-09
+ 544.0000000D-09
+ 545.0000000D-09
+ 546.0000000D-09
+ 547.0000000D-09
+ 548.0000000D-09
+ 549.0000000D-09
+ 550.0000000D-09
+ 551.0000000D-09
+ 552.0000000D-09
+ 553.0000000D-09
+ 554.0000000D-09
+ 555.0000000D-09
+ 556.0000000D-09
+ 557.0000000D-09
+ 558.0000000D-09
+ 559.0000000D-09
+ 560.0000000D-09
+ 561.0000000D-09
+ 562.0000000D-09
+ 563.0000000D-09
+ 564.0000000D-09
+ 565.0000000D-09
+ 566.0000000D-09
+ 567.0000000D-09
+ 568.0000000D-09
+ 569.0000000D-09
+ 570.0000000D-09
+ 571.0000000D-09
+ 572.0000000D-09
+ 573.0000000D-09
+ 574.0000000D-09
+ 575.0000000D-09
+ 576.0000000D-09
+ 577.0000000D-09
+ 578.0000000D-09
+ 579.0000000D-09
+ 580.0000000D-09
+ 581.0000000D-09
+ 582.0000000D-09
+ 583.0000000D-09
+ 584.0000000D-09
+ 585.0000000D-09
+ 586.0000000D-09
+ 587.0000000D-09
+ 588.0000000D-09
+ 589.0000000D-09
+ 590.0000000D-09
+ 591.0000000D-09
+ 592.0000000D-09
+ 593.0000000D-09
+ 594.0000000D-09
+ 595.0000000D-09
+ 596.0000000D-09
+ 597.0000000D-09
+ 598.0000000D-09
+ 599.0000000D-09
+ 600.0000000D-09
+ 601.0000000D-09
+ 602.0000000D-09
+ 603.0000000D-09
+ 604.0000000D-09
+ 605.0000000D-09
+ 606.0000000D-09
+ 607.0000000D-09
+ 608.0000000D-09
+ 609.0000000D-09
+ 610.0000000D-09
+ 611.0000000D-09
+ 612.0000000D-09
+ 613.0000000D-09
+ 614.0000000D-09
+ 615.0000000D-09
+ 616.0000000D-09
+ 617.0000000D-09
+ 618.0000000D-09
+ 619.0000000D-09
+ 620.0000000D-09
+ 621.0000000D-09
+ 622.0000000D-09
+ 623.0000000D-09
+ 624.0000000D-09
+ 625.0000000D-09
+ 626.0000000D-09
+ 627.0000000D-09
+ 628.0000000D-09
+ 629.0000000D-09
+ 630.0000000D-09
+ 631.0000000D-09
+ 632.0000000D-09
+ 633.0000000D-09
+ 634.0000000D-09
+ 635.0000000D-09
+ 636.0000000D-09
+ 637.0000000D-09
+ 638.0000000D-09
+ 639.0000000D-09
+ 640.0000000D-09
+ 641.0000000D-09
+ 642.0000000D-09
+ 643.0000000D-09
+ 644.0000000D-09
+ 645.0000000D-09
+ 646.0000000D-09
+ 647.0000000D-09
+ 648.0000000D-09
+ 649.0000000D-09
+ 650.0000000D-09
+ 651.0000000D-09
+ 652.0000000D-09
+ 653.0000000D-09
+ 654.0000000D-09
+ 655.0000000D-09
+ 656.0000000D-09
+ 657.0000000D-09
+ 658.0000000D-09
+ 659.0000000D-09
+ 660.0000000D-09
+ 661.0000000D-09
+ 662.0000000D-09
+ 663.0000000D-09
+ 664.0000000D-09
+ 665.0000000D-09
+ 666.0000000D-09
+ 667.0000000D-09
+ 668.0000000D-09
+ 669.0000000D-09
+ 670.0000000D-09
+ 671.0000000D-09
+ 672.0000000D-09
+ 673.0000000D-09
+ 674.0000000D-09
+ 675.0000000D-09
+ 676.0000000D-09
+ 677.0000000D-09
+ 678.0000000D-09
+ 679.0000000D-09
+ 680.0000000D-09
+ 681.0000000D-09
+ 682.0000000D-09
+ 683.0000000D-09
+ 684.0000000D-09
+ 685.0000000D-09
+ 686.0000000D-09
+ 687.0000000D-09
+ 688.0000000D-09
+ 689.0000000D-09
+ 690.0000000D-09
+ 691.0000000D-09
+ 692.0000000D-09
+ 693.0000000D-09
+ 694.0000000D-09
+ 695.0000000D-09
+ 696.0000000D-09
+ 697.0000000D-09
+ 698.0000000D-09
+ 699.0000000D-09
+ 700.0000000D-09
+ 701.0000000D-09
+ 702.0000000D-09
+ 703.0000000D-09
+ 704.0000000D-09
+ 705.0000000D-09
+ 706.0000000D-09
+ 707.0000000D-09
+ 708.0000000D-09
+ 709.0000000D-09
+ 710.0000000D-09
+ 711.0000000D-09
+ 712.0000000D-09
+ 713.0000000D-09
+ 714.0000000D-09
+ 715.0000000D-09
+ 716.0000000D-09
+ 717.0000000D-09
+ 718.0000000D-09
+ 719.0000000D-09
+ 720.0000000D-09
+ 721.0000000D-09
+ 722.0000000D-09
+ 723.0000000D-09
+ 724.0000000D-09
+ 725.0000000D-09
+ 726.0000000D-09
+ 727.0000000D-09
+ 728.0000000D-09
+ 729.0000000D-09
+ 730.0000000D-09
+ 731.0000000D-09
+ 732.0000000D-09
+ 733.0000000D-09
+ 734.0000000D-09
+ 735.0000000D-09
+ 736.0000000D-09
+ 737.0000000D-09
+ 738.0000000D-09
+ 739.0000000D-09
+ 740.0000000D-09
+ 741.0000000D-09
+ 742.0000000D-09
+ 743.0000000D-09
+ 744.0000000D-09
+ 745.0000000D-09
+ 746.0000000D-09
+ 747.0000000D-09
+ 748.0000000D-09
+ 749.0000000D-09
+ 750.0000000D-09
+ 751.0000000D-09
+ 752.0000000D-09
+ 753.0000000D-09
+ 754.0000000D-09
+ 755.0000000D-09
+ 756.0000000D-09
+ 757.0000000D-09
+ 758.0000000D-09
+ 759.0000000D-09
+ 760.0000000D-09
+ 761.0000000D-09
+ 762.0000000D-09
+ 763.0000000D-09
+ 764.0000000D-09
+ 765.0000000D-09
+ 766.0000000D-09
+ 767.0000000D-09
+ 768.0000000D-09
+ 769.0000000D-09
+ 770.0000000D-09
+ 771.0000000D-09
+ 772.0000000D-09
+ 773.0000000D-09
+ 774.0000000D-09
+ 775.0000000D-09
+ 776.0000000D-09
+ 777.0000000D-09
+ 778.0000000D-09
+ 779.0000000D-09
+ 780.0000000D-09
+ 781.0000000D-09
+ 782.0000000D-09
+ 783.0000000D-09
+ 784.0000000D-09
+ 785.0000000D-09
+ 786.0000000D-09
+ 787.0000000D-09
+ 788.0000000D-09
+ 789.0000000D-09
+ 790.0000000D-09
+ 791.0000000D-09
+ 792.0000000D-09
+ 793.0000000D-09
+ 794.0000000D-09
+ 795.0000000D-09
+ 796.0000000D-09
+ 797.0000000D-09
+ 798.0000000D-09
+ 799.0000000D-09
+ 800.0000000D-09
+ 1 2 3 4
+ 1 200.000000D-09
+ 1.000000D00
+ 1 20.000000D-09
+ 1.000000D00
+ 1 30.000000D-09
+ 1.000000D00
+ 1 50.000000D-09
+ 1.000000D00
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6597000e+00 , 5.7409000e+00 )
+ ( -1.6597000e+00 , 5.7409000e+00 )
+ ( -1.6597000e+00 , 5.7409000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6636000e+00 , 5.7410000e+00 )
+ ( -1.6636000e+00 , 5.7410000e+00 )
+ ( -1.6636000e+00 , 5.7410000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6675000e+00 , 5.7407000e+00 )
+ ( -1.6675000e+00 , 5.7407000e+00 )
+ ( -1.6675000e+00 , 5.7407000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6712000e+00 , 5.7401000e+00 )
+ ( -1.6712000e+00 , 5.7401000e+00 )
+ ( -1.6712000e+00 , 5.7401000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6749000e+00 , 5.7391000e+00 )
+ ( -1.6749000e+00 , 5.7391000e+00 )
+ ( -1.6749000e+00 , 5.7391000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6785000e+00 , 5.7379000e+00 )
+ ( -1.6785000e+00 , 5.7379000e+00 )
+ ( -1.6785000e+00 , 5.7379000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6820000e+00 , 5.7362000e+00 )
+ ( -1.6820000e+00 , 5.7362000e+00 )
+ ( -1.6820000e+00 , 5.7362000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6853000e+00 , 5.7343000e+00 )
+ ( -1.6853000e+00 , 5.7343000e+00 )
+ ( -1.6853000e+00 , 5.7343000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6885000e+00 , 5.7322000e+00 )
+ ( -1.6885000e+00 , 5.7322000e+00 )
+ ( -1.6885000e+00 , 5.7322000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6915000e+00 , 5.7298000e+00 )
+ ( -1.6915000e+00 , 5.7298000e+00 )
+ ( -1.6915000e+00 , 5.7298000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6943000e+00 , 5.7272000e+00 )
+ ( -1.6943000e+00 , 5.7272000e+00 )
+ ( -1.6943000e+00 , 5.7272000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6970000e+00 , 5.7244000e+00 )
+ ( -1.6970000e+00 , 5.7244000e+00 )
+ ( -1.6970000e+00 , 5.7244000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6994000e+00 , 5.7214000e+00 )
+ ( -1.6994000e+00 , 5.7214000e+00 )
+ ( -1.6994000e+00 , 5.7214000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7016000e+00 , 5.7183000e+00 )
+ ( -1.7016000e+00 , 5.7183000e+00 )
+ ( -1.7016000e+00 , 5.7183000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7021000e+00 , 5.7170000e+00 )
+ ( -1.7021000e+00 , 5.7170000e+00 )
+ ( -1.7021000e+00 , 5.7170000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7018000e+00 , 5.7161000e+00 )
+ ( -1.7018000e+00 , 5.7161000e+00 )
+ ( -1.7018000e+00 , 5.7161000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7013000e+00 , 5.7150000e+00 )
+ ( -1.7013000e+00 , 5.7150000e+00 )
+ ( -1.7013000e+00 , 5.7150000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7007000e+00 , 5.7137000e+00 )
+ ( -1.7007000e+00 , 5.7137000e+00 )
+ ( -1.7007000e+00 , 5.7137000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6999000e+00 , 5.7120000e+00 )
+ ( -1.6999000e+00 , 5.7120000e+00 )
+ ( -1.6999000e+00 , 5.7120000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6992000e+00 , 5.7200000e+00 )
+ ( -1.6992000e+00 , 5.7200000e+00 )
+ ( -1.6992000e+00 , 5.7200000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6983000e+00 , 5.7075000e+00 )
+ ( -1.6983000e+00 , 5.7075000e+00 )
+ ( -1.6983000e+00 , 5.7075000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6974000e+00 , 5.7047000e+00 )
+ ( -1.6974000e+00 , 5.7047000e+00 )
+ ( -1.6974000e+00 , 5.7047000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6965000e+00 , 5.7013000e+00 )
+ ( -1.6965000e+00 , 5.7013000e+00 )
+ ( -1.6965000e+00 , 5.7013000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6957000e+00 , 5.6974000e+00 )
+ ( -1.6957000e+00 , 5.6974000e+00 )
+ ( -1.6957000e+00 , 5.6974000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6948000e+00 , 5.6930000e+00 )
+ ( -1.6948000e+00 , 5.6930000e+00 )
+ ( -1.6948000e+00 , 5.6930000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6941000e+00 , 5.6881000e+00 )
+ ( -1.6941000e+00 , 5.6881000e+00 )
+ ( -1.6941000e+00 , 5.6881000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6934000e+00 , 5.6825000e+00 )
+ ( -1.6934000e+00 , 5.6825000e+00 )
+ ( -1.6934000e+00 , 5.6825000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6929000e+00 , 5.6763000e+00 )
+ ( -1.6929000e+00 , 5.6763000e+00 )
+ ( -1.6929000e+00 , 5.6763000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6925000e+00 , 5.6694000e+00 )
+ ( -1.6925000e+00 , 5.6694000e+00 )
+ ( -1.6925000e+00 , 5.6694000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6922000e+00 , 5.6619000e+00 )
+ ( -1.6922000e+00 , 5.6619000e+00 )
+ ( -1.6922000e+00 , 5.6619000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6922000e+00 , 5.6536000e+00 )
+ ( -1.6922000e+00 , 5.6536000e+00 )
+ ( -1.6922000e+00 , 5.6536000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6938000e+00 , 5.6428000e+00 )
+ ( -1.6938000e+00 , 5.6428000e+00 )
+ ( -1.6938000e+00 , 5.6428000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6973000e+00 , 5.6294000e+00 )
+ ( -1.6973000e+00 , 5.6294000e+00 )
+ ( -1.6973000e+00 , 5.6294000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7009000e+00 , 5.6154000e+00 )
+ ( -1.7009000e+00 , 5.6154000e+00 )
+ ( -1.7009000e+00 , 5.6154000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7046000e+00 , 5.6006000e+00 )
+ ( -1.7046000e+00 , 5.6006000e+00 )
+ ( -1.7046000e+00 , 5.6006000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7084000e+00 , 5.5853000e+00 )
+ ( -1.7084000e+00 , 5.5853000e+00 )
+ ( -1.7084000e+00 , 5.5853000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7123000e+00 , 5.5693000e+00 )
+ ( -1.7123000e+00 , 5.5693000e+00 )
+ ( -1.7123000e+00 , 5.5693000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7162000e+00 , 5.5528000e+00 )
+ ( -1.7162000e+00 , 5.5528000e+00 )
+ ( -1.7162000e+00 , 5.5528000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7201000e+00 , 5.5357000e+00 )
+ ( -1.7201000e+00 , 5.5357000e+00 )
+ ( -1.7201000e+00 , 5.5357000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7240000e+00 , 5.5181000e+00 )
+ ( -1.7240000e+00 , 5.5181000e+00 )
+ ( -1.7240000e+00 , 5.5181000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7279000e+00 , 5.5001000e+00 )
+ ( -1.7279000e+00 , 5.5001000e+00 )
+ ( -1.7279000e+00 , 5.5001000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7316000e+00 , 5.4817000e+00 )
+ ( -1.7316000e+00 , 5.4817000e+00 )
+ ( -1.7316000e+00 , 5.4817000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7353000e+00 , 5.4628000e+00 )
+ ( -1.7353000e+00 , 5.4628000e+00 )
+ ( -1.7353000e+00 , 5.4628000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7388000e+00 , 5.4435000e+00 )
+ ( -1.7388000e+00 , 5.4435000e+00 )
+ ( -1.7388000e+00 , 5.4435000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7421000e+00 , 5.4239000e+00 )
+ ( -1.7421000e+00 , 5.4239000e+00 )
+ ( -1.7421000e+00 , 5.4239000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7453000e+00 , 5.4040000e+00 )
+ ( -1.7453000e+00 , 5.4040000e+00 )
+ ( -1.7453000e+00 , 5.4040000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7482000e+00 , 5.3838000e+00 )
+ ( -1.7482000e+00 , 5.3838000e+00 )
+ ( -1.7482000e+00 , 5.3838000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7509000e+00 , 5.3634000e+00 )
+ ( -1.7509000e+00 , 5.3634000e+00 )
+ ( -1.7509000e+00 , 5.3634000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7534000e+00 , 5.3427000e+00 )
+ ( -1.7534000e+00 , 5.3427000e+00 )
+ ( -1.7534000e+00 , 5.3427000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7557000e+00 , 5.3218000e+00 )
+ ( -1.7557000e+00 , 5.3218000e+00 )
+ ( -1.7557000e+00 , 5.3218000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7578000e+00 , 5.3007000e+00 )
+ ( -1.7578000e+00 , 5.3007000e+00 )
+ ( -1.7578000e+00 , 5.3007000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7580000e+00 , 5.2802000e+00 )
+ ( -1.7580000e+00 , 5.2802000e+00 )
+ ( -1.7580000e+00 , 5.2802000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7512000e+00 , 5.2637000e+00 )
+ ( -1.7512000e+00 , 5.2637000e+00 )
+ ( -1.7512000e+00 , 5.2637000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7442000e+00 , 5.2469000e+00 )
+ ( -1.7442000e+00 , 5.2469000e+00 )
+ ( -1.7442000e+00 , 5.2469000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7374000e+00 , 5.2299000e+00 )
+ ( -1.7374000e+00 , 5.2299000e+00 )
+ ( -1.7374000e+00 , 5.2299000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7306000e+00 , 5.2124000e+00 )
+ ( -1.7306000e+00 , 5.2124000e+00 )
+ ( -1.7306000e+00 , 5.2124000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7240000e+00 , 5.1946000e+00 )
+ ( -1.7240000e+00 , 5.1946000e+00 )
+ ( -1.7240000e+00 , 5.1946000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7177000e+00 , 5.1764000e+00 )
+ ( -1.7177000e+00 , 5.1764000e+00 )
+ ( -1.7177000e+00 , 5.1764000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7119000e+00 , 5.1576000e+00 )
+ ( -1.7119000e+00 , 5.1576000e+00 )
+ ( -1.7119000e+00 , 5.1576000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7063000e+00 , 5.1384000e+00 )
+ ( -1.7063000e+00 , 5.1384000e+00 )
+ ( -1.7063000e+00 , 5.1384000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7013000e+00 , 5.1186000e+00 )
+ ( -1.7013000e+00 , 5.1186000e+00 )
+ ( -1.7013000e+00 , 5.1186000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6970000e+00 , 5.0983000e+00 )
+ ( -1.6970000e+00 , 5.0983000e+00 )
+ ( -1.6970000e+00 , 5.0983000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6933000e+00 , 5.0773000e+00 )
+ ( -1.6933000e+00 , 5.0773000e+00 )
+ ( -1.6933000e+00 , 5.0773000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6903000e+00 , 5.0557000e+00 )
+ ( -1.6903000e+00 , 5.0557000e+00 )
+ ( -1.6903000e+00 , 5.0557000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6881000e+00 , 5.0335000e+00 )
+ ( -1.6881000e+00 , 5.0335000e+00 )
+ ( -1.6881000e+00 , 5.0335000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6868000e+00 , 5.0105000e+00 )
+ ( -1.6868000e+00 , 5.0105000e+00 )
+ ( -1.6868000e+00 , 5.0105000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6864000e+00 , 4.9868000e+00 )
+ ( -1.6864000e+00 , 4.9868000e+00 )
+ ( -1.6864000e+00 , 4.9868000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6870000e+00 , 4.9623000e+00 )
+ ( -1.6870000e+00 , 4.9623000e+00 )
+ ( -1.6870000e+00 , 4.9623000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6887000e+00 , 4.9371000e+00 )
+ ( -1.6887000e+00 , 4.9371000e+00 )
+ ( -1.6887000e+00 , 4.9371000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6914000e+00 , 4.9110000e+00 )
+ ( -1.6914000e+00 , 4.9110000e+00 )
+ ( -1.6914000e+00 , 4.9110000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6952000e+00 , 4.8841000e+00 )
+ ( -1.6952000e+00 , 4.8841000e+00 )
+ ( -1.6952000e+00 , 4.8841000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7002000e+00 , 4.8564000e+00 )
+ ( -1.7002000e+00 , 4.8564000e+00 )
+ ( -1.7002000e+00 , 4.8564000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7064000e+00 , 4.8232000e+00 )
+ ( -1.7064000e+00 , 4.8232000e+00 )
+ ( -1.7064000e+00 , 4.8232000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7137000e+00 , 4.7859000e+00 )
+ ( -1.7137000e+00 , 4.7859000e+00 )
+ ( -1.7137000e+00 , 4.7859000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7223000e+00 , 4.7478000e+00 )
+ ( -1.7223000e+00 , 4.7478000e+00 )
+ ( -1.7223000e+00 , 4.7478000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7321000e+00 , 4.7090000e+00 )
+ ( -1.7321000e+00 , 4.7090000e+00 )
+ ( -1.7321000e+00 , 4.7090000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7433000e+00 , 4.6696000e+00 )
+ ( -1.7433000e+00 , 4.6696000e+00 )
+ ( -1.7433000e+00 , 4.6696000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7559000e+00 , 4.6295000e+00 )
+ ( -1.7559000e+00 , 4.6295000e+00 )
+ ( -1.7559000e+00 , 4.6295000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7698000e+00 , 4.5889000e+00 )
+ ( -1.7698000e+00 , 4.5889000e+00 )
+ ( -1.7698000e+00 , 4.5889000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7852000e+00 , 4.5470000e+00 )
+ ( -1.7852000e+00 , 4.5470000e+00 )
+ ( -1.7852000e+00 , 4.5470000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8020000e+00 , 4.5065000e+00 )
+ ( -1.8020000e+00 , 4.5065000e+00 )
+ ( -1.8020000e+00 , 4.5065000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8203000e+00 , 4.4646000e+00 )
+ ( -1.8203000e+00 , 4.4646000e+00 )
+ ( -1.8203000e+00 , 4.4646000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8400000e+00 , 4.4224000e+00 )
+ ( -1.8400000e+00 , 4.4224000e+00 )
+ ( -1.8400000e+00 , 4.4224000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8613000e+00 , 4.3799000e+00 )
+ ( -1.8613000e+00 , 4.3799000e+00 )
+ ( -1.8613000e+00 , 4.3799000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8840000e+00 , 4.3372000e+00 )
+ ( -1.8840000e+00 , 4.3372000e+00 )
+ ( -1.8840000e+00 , 4.3372000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9083000e+00 , 4.2941000e+00 )
+ ( -1.9083000e+00 , 4.2941000e+00 )
+ ( -1.9083000e+00 , 4.2941000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9341000e+00 , 4.2509000e+00 )
+ ( -1.9341000e+00 , 4.2509000e+00 )
+ ( -1.9341000e+00 , 4.2509000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9615000e+00 , 4.2074000e+00 )
+ ( -1.9615000e+00 , 4.2074000e+00 )
+ ( -1.9615000e+00 , 4.2074000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9905000e+00 , 4.1638000e+00 )
+ ( -1.9905000e+00 , 4.1638000e+00 )
+ ( -1.9905000e+00 , 4.1638000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0211000e+00 , 4.1200000e+00 )
+ ( -2.0211000e+00 , 4.1200000e+00 )
+ ( -2.0211000e+00 , 4.1200000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0533000e+00 , 4.0761000e+00 )
+ ( -2.0533000e+00 , 4.0761000e+00 )
+ ( -2.0533000e+00 , 4.0761000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0871000e+00 , 4.0320000e+00 )
+ ( -2.0871000e+00 , 4.0320000e+00 )
+ ( -2.0871000e+00 , 4.0320000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1225000e+00 , 3.9878000e+00 )
+ ( -2.1225000e+00 , 3.9878000e+00 )
+ ( -2.1225000e+00 , 3.9878000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1596000e+00 , 3.9435000e+00 )
+ ( -2.1596000e+00 , 3.9435000e+00 )
+ ( -2.1596000e+00 , 3.9435000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1984000e+00 , 3.8990000e+00 )
+ ( -2.1984000e+00 , 3.8990000e+00 )
+ ( -2.1984000e+00 , 3.8990000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.2387000e+00 , 3.8545000e+00 )
+ ( -2.2387000e+00 , 3.8545000e+00 )
+ ( -2.2387000e+00 , 3.8545000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.2820000e+00 , 3.8094000e+00 )
+ ( -2.2820000e+00 , 3.8094000e+00 )
+ ( -2.2820000e+00 , 3.8094000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.3405000e+00 , 3.7591000e+00 )
+ ( -2.3405000e+00 , 3.7591000e+00 )
+ ( -2.3405000e+00 , 3.7591000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.4004000e+00 , 3.7086000e+00 )
+ ( -2.4004000e+00 , 3.7086000e+00 )
+ ( -2.4004000e+00 , 3.7086000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.4614000e+00 , 3.6578000e+00 )
+ ( -2.4614000e+00 , 3.6578000e+00 )
+ ( -2.4614000e+00 , 3.6578000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.5235000e+00 , 3.6069000e+00 )
+ ( -2.5235000e+00 , 3.6069000e+00 )
+ ( -2.5235000e+00 , 3.6069000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.5866000e+00 , 3.5558000e+00 )
+ ( -2.5866000e+00 , 3.5558000e+00 )
+ ( -2.5866000e+00 , 3.5558000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.6506000e+00 , 3.5047000e+00 )
+ ( -2.6506000e+00 , 3.5047000e+00 )
+ ( -2.6506000e+00 , 3.5047000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.7154000e+00 , 3.4534000e+00 )
+ ( -2.7154000e+00 , 3.4534000e+00 )
+ ( -2.7154000e+00 , 3.4534000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.7820000e+00 , 3.4022000e+00 )
+ ( -2.7820000e+00 , 3.4022000e+00 )
+ ( -2.7820000e+00 , 3.4022000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.8471000e+00 , 3.3509000e+00 )
+ ( -2.8471000e+00 , 3.3509000e+00 )
+ ( -2.8471000e+00 , 3.3509000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.9137000e+00 , 3.2998000e+00 )
+ ( -2.9137000e+00 , 3.2998000e+00 )
+ ( -2.9137000e+00 , 3.2998000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.9811000e+00 , 3.2487000e+00 )
+ ( -2.9811000e+00 , 3.2487000e+00 )
+ ( -2.9811000e+00 , 3.2487000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -3.0488000e+00 , 3.1978000e+00 )
+ ( -3.0488000e+00 , 3.1978000e+00 )
+ ( -3.0488000e+00 , 3.1978000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -3.1169000e+00 , 3.1472000e+00 )
+ ( -3.1169000e+00 , 3.1472000e+00 )
+ ( -3.1169000e+00 , 3.1472000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -3.1854000e+00 , 3.0968000e+00 )
+ ( -3.1854000e+00 , 3.0968000e+00 )
+ ( -3.1854000e+00 , 3.0968000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -3.2541000e+00 , 3.0467000e+00 )
+ ( -3.2541000e+00 , 3.0467000e+00 )
+ ( -3.2541000e+00 , 3.0467000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -3.3231000e+00 , 2.9971000e+00 )
+ ( -3.3231000e+00 , 2.9971000e+00 )
+ ( -3.3231000e+00 , 2.9971000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -3.3923000e+00 , 2.9478000e+00 )
+ ( -3.3923000e+00 , 2.9478000e+00 )
+ ( -3.3923000e+00 , 2.9478000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -3.4617000e+00 , 2.8991000e+00 )
+ ( -3.4617000e+00 , 2.8991000e+00 )
+ ( -3.4617000e+00 , 2.8991000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -3.5313000e+00 , 2.8510000e+00 )
+ ( -3.5313000e+00 , 2.8510000e+00 )
+ ( -3.5313000e+00 , 2.8510000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -3.6009000e+00 , 2.8035000e+00 )
+ ( -3.6009000e+00 , 2.8035000e+00 )
+ ( -3.6009000e+00 , 2.8035000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -3.6707000e+00 , 2.7566000e+00 )
+ ( -3.6707000e+00 , 2.7566000e+00 )
+ ( -3.6707000e+00 , 2.7566000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -3.7405000e+00 , 2.7106000e+00 )
+ ( -3.7405000e+00 , 2.7106000e+00 )
+ ( -3.7405000e+00 , 2.7106000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -3.8104000e+00 , 2.6654000e+00 )
+ ( -3.8104000e+00 , 2.6654000e+00 )
+ ( -3.8104000e+00 , 2.6654000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -3.8803000e+00 , 2.6212000e+00 )
+ ( -3.8803000e+00 , 2.6212000e+00 )
+ ( -3.8803000e+00 , 2.6212000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -3.9500000e+00 , 2.5788000e+00 )
+ ( -3.9500000e+00 , 2.5788000e+00 )
+ ( -3.9500000e+00 , 2.5788000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.0157000e+00 , 2.5511000e+00 )
+ ( -4.0157000e+00 , 2.5511000e+00 )
+ ( -4.0157000e+00 , 2.5511000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.0815000e+00 , 2.5246000e+00 )
+ ( -4.0815000e+00 , 2.5246000e+00 )
+ ( -4.0815000e+00 , 2.5246000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.1476000e+00 , 2.4992000e+00 )
+ ( -4.1476000e+00 , 2.4992000e+00 )
+ ( -4.1476000e+00 , 2.4992000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.2139000e+00 , 2.4749000e+00 )
+ ( -4.2139000e+00 , 2.4749000e+00 )
+ ( -4.2139000e+00 , 2.4749000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.2804000e+00 , 2.4516000e+00 )
+ ( -4.2804000e+00 , 2.4516000e+00 )
+ ( -4.2804000e+00 , 2.4516000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.3472000e+00 , 2.4292000e+00 )
+ ( -4.3472000e+00 , 2.4292000e+00 )
+ ( -4.3472000e+00 , 2.4292000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.4142000e+00 , 2.4078000e+00 )
+ ( -4.4142000e+00 , 2.4078000e+00 )
+ ( -4.4142000e+00 , 2.4078000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.4814000e+00 , 2.3873000e+00 )
+ ( -4.4814000e+00 , 2.3873000e+00 )
+ ( -4.4814000e+00 , 2.3873000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.5489000e+00 , 2.3676000e+00 )
+ ( -4.5489000e+00 , 2.3676000e+00 )
+ ( -4.5489000e+00 , 2.3676000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.6167000e+00 , 2.3487000e+00 )
+ ( -4.6167000e+00 , 2.3487000e+00 )
+ ( -4.6167000e+00 , 2.3487000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.6847000e+00 , 2.3307000e+00 )
+ ( -4.6847000e+00 , 2.3307000e+00 )
+ ( -4.6847000e+00 , 2.3307000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.7529000e+00 , 2.3133000e+00 )
+ ( -4.7529000e+00 , 2.3133000e+00 )
+ ( -4.7529000e+00 , 2.3133000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.8214000e+00 , 2.2967000e+00 )
+ ( -4.8214000e+00 , 2.2967000e+00 )
+ ( -4.8214000e+00 , 2.2967000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.8901000e+00 , 2.2807000e+00 )
+ ( -4.8901000e+00 , 2.2807000e+00 )
+ ( -4.8901000e+00 , 2.2807000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -4.9590000e+00 , 2.2653000e+00 )
+ ( -4.9590000e+00 , 2.2653000e+00 )
+ ( -4.9590000e+00 , 2.2653000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -5.0281000e+00 , 2.2506000e+00 )
+ ( -5.0281000e+00 , 2.2506000e+00 )
+ ( -5.0281000e+00 , 2.2506000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -5.0974000e+00 , 2.2364000e+00 )
+ ( -5.0974000e+00 , 2.2364000e+00 )
+ ( -5.0974000e+00 , 2.2364000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -5.1670000e+00 , 2.2227000e+00 )
+ ( -5.1670000e+00 , 2.2227000e+00 )
+ ( -5.1670000e+00 , 2.2227000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -5.2367000e+00 , 2.2095000e+00 )
+ ( -5.2367000e+00 , 2.2095000e+00 )
+ ( -5.2367000e+00 , 2.2095000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -5.3066000e+00 , 2.1968000e+00 )
+ ( -5.3066000e+00 , 2.1968000e+00 )
+ ( -5.3066000e+00 , 2.1968000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -5.3767000e+00 , 2.1845000e+00 )
+ ( -5.3767000e+00 , 2.1845000e+00 )
+ ( -5.3767000e+00 , 2.1845000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -5.4469000e+00 , 2.1726000e+00 )
+ ( -5.4469000e+00 , 2.1726000e+00 )
+ ( -5.4469000e+00 , 2.1726000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -5.5172000e+00 , 2.1609000e+00 )
+ ( -5.5172000e+00 , 2.1609000e+00 )
+ ( -5.5172000e+00 , 2.1609000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -5.5876000e+00 , 2.1497000e+00 )
+ ( -5.5876000e+00 , 2.1497000e+00 )
+ ( -5.5876000e+00 , 2.1497000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -5.6582000e+00 , 2.1388000e+00 )
+ ( -5.6582000e+00 , 2.1388000e+00 )
+ ( -5.6582000e+00 , 2.1388000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -5.7288000e+00 , 2.1280000e+00 )
+ ( -5.7288000e+00 , 2.1280000e+00 )
+ ( -5.7288000e+00 , 2.1280000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -5.7995000e+00 , 2.1175000e+00 )
+ ( -5.7995000e+00 , 2.1175000e+00 )
+ ( -5.7995000e+00 , 2.1175000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -5.8688000e+00 , 2.1050000e+00 )
+ ( -5.8688000e+00 , 2.1050000e+00 )
+ ( -5.8688000e+00 , 2.1050000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -5.9359000e+00 , 2.0892000e+00 )
+ ( -5.9359000e+00 , 2.0892000e+00 )
+ ( -5.9359000e+00 , 2.0892000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.0030000e+00 , 2.0736000e+00 )
+ ( -6.0030000e+00 , 2.0736000e+00 )
+ ( -6.0030000e+00 , 2.0736000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.0700000e+00 , 2.0581000e+00 )
+ ( -6.0700000e+00 , 2.0581000e+00 )
+ ( -6.0700000e+00 , 2.0581000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.1370000e+00 , 2.0428000e+00 )
+ ( -6.1370000e+00 , 2.0428000e+00 )
+ ( -6.1370000e+00 , 2.0428000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.2041000e+00 , 2.0276000e+00 )
+ ( -6.2041000e+00 , 2.0276000e+00 )
+ ( -6.2041000e+00 , 2.0276000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.2711000e+00 , 2.0125000e+00 )
+ ( -6.2711000e+00 , 2.0125000e+00 )
+ ( -6.2711000e+00 , 2.0125000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.3382000e+00 , 1.9975000e+00 )
+ ( -6.3382000e+00 , 1.9975000e+00 )
+ ( -6.3382000e+00 , 1.9975000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.4052000e+00 , 1.9827000e+00 )
+ ( -6.4052000e+00 , 1.9827000e+00 )
+ ( -6.4052000e+00 , 1.9827000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.4723000e+00 , 1.9681000e+00 )
+ ( -6.4723000e+00 , 1.9681000e+00 )
+ ( -6.4723000e+00 , 1.9681000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.5395000e+00 , 1.9535000e+00 )
+ ( -6.5395000e+00 , 1.9535000e+00 )
+ ( -6.5395000e+00 , 1.9535000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.6067000e+00 , 1.9391000e+00 )
+ ( -6.6067000e+00 , 1.9391000e+00 )
+ ( -6.6067000e+00 , 1.9391000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.6739000e+00 , 1.9249000e+00 )
+ ( -6.6739000e+00 , 1.9249000e+00 )
+ ( -6.6739000e+00 , 1.9249000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.7412000e+00 , 1.9108000e+00 )
+ ( -6.7412000e+00 , 1.9108000e+00 )
+ ( -6.7412000e+00 , 1.9108000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.8085000e+00 , 1.8969000e+00 )
+ ( -6.8085000e+00 , 1.8969000e+00 )
+ ( -6.8085000e+00 , 1.8969000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.8759000e+00 , 1.8831000e+00 )
+ ( -6.8759000e+00 , 1.8831000e+00 )
+ ( -6.8759000e+00 , 1.8831000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -6.9434000e+00 , 1.8695000e+00 )
+ ( -6.9434000e+00 , 1.8695000e+00 )
+ ( -6.9434000e+00 , 1.8695000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.0109000e+00 , 1.8560000e+00 )
+ ( -7.0109000e+00 , 1.8560000e+00 )
+ ( -7.0109000e+00 , 1.8560000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.0786000e+00 , 1.8427000e+00 )
+ ( -7.0786000e+00 , 1.8427000e+00 )
+ ( -7.0786000e+00 , 1.8427000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.1463000e+00 , 1.8295000e+00 )
+ ( -7.1463000e+00 , 1.8295000e+00 )
+ ( -7.1463000e+00 , 1.8295000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.2141000e+00 , 1.8165000e+00 )
+ ( -7.2141000e+00 , 1.8165000e+00 )
+ ( -7.2141000e+00 , 1.8165000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.2820000e+00 , 1.8036000e+00 )
+ ( -7.2820000e+00 , 1.8036000e+00 )
+ ( -7.2820000e+00 , 1.8036000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.3501000e+00 , 1.7909000e+00 )
+ ( -7.3501000e+00 , 1.7909000e+00 )
+ ( -7.3501000e+00 , 1.7909000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.4182000e+00 , 1.7783000e+00 )
+ ( -7.4182000e+00 , 1.7783000e+00 )
+ ( -7.4182000e+00 , 1.7783000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.4864000e+00 , 1.7659000e+00 )
+ ( -7.4864000e+00 , 1.7659000e+00 )
+ ( -7.4864000e+00 , 1.7659000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.5548000e+00 , 1.7537000e+00 )
+ ( -7.5548000e+00 , 1.7537000e+00 )
+ ( -7.5548000e+00 , 1.7537000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.6233000e+00 , 1.7416000e+00 )
+ ( -7.6233000e+00 , 1.7416000e+00 )
+ ( -7.6233000e+00 , 1.7416000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.6919000e+00 , 1.7297000e+00 )
+ ( -7.6919000e+00 , 1.7297000e+00 )
+ ( -7.6919000e+00 , 1.7297000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.7607000e+00 , 1.7179000e+00 )
+ ( -7.7607000e+00 , 1.7179000e+00 )
+ ( -7.7607000e+00 , 1.7179000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.8296000e+00 , 1.7063000e+00 )
+ ( -7.8296000e+00 , 1.7063000e+00 )
+ ( -7.8296000e+00 , 1.7063000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.8987000e+00 , 1.6949000e+00 )
+ ( -7.8987000e+00 , 1.6949000e+00 )
+ ( -7.8987000e+00 , 1.6949000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -7.9679000e+00 , 1.6836000e+00 )
+ ( -7.9679000e+00 , 1.6836000e+00 )
+ ( -7.9679000e+00 , 1.6836000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -8.0372000e+00 , 1.6724000e+00 )
+ ( -8.0372000e+00 , 1.6724000e+00 )
+ ( -8.0372000e+00 , 1.6724000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -8.1068000e+00 , 1.6615000e+00 )
+ ( -8.1068000e+00 , 1.6615000e+00 )
+ ( -8.1068000e+00 , 1.6615000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -8.1785000e+00 , 1.6514000e+00 )
+ ( -8.1785000e+00 , 1.6514000e+00 )
+ ( -8.1785000e+00 , 1.6514000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -8.2506000e+00 , 1.6416000e+00 )
+ ( -8.2506000e+00 , 1.6416000e+00 )
+ ( -8.2506000e+00 , 1.6416000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -8.3228000e+00 , 1.6319000e+00 )
+ ( -8.3228000e+00 , 1.6319000e+00 )
+ ( -8.3228000e+00 , 1.6319000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -8.3952000e+00 , 1.6224000e+00 )
+ ( -8.3952000e+00 , 1.6224000e+00 )
+ ( -8.3952000e+00 , 1.6224000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -8.4677000e+00 , 1.6130000e+00 )
+ ( -8.4677000e+00 , 1.6130000e+00 )
+ ( -8.4677000e+00 , 1.6130000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -8.5404000e+00 , 1.6037000e+00 )
+ ( -8.5404000e+00 , 1.6037000e+00 )
+ ( -8.5404000e+00 , 1.6037000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -8.6131000e+00 , 1.5946000e+00 )
+ ( -8.6131000e+00 , 1.5946000e+00 )
+ ( -8.6131000e+00 , 1.5946000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -8.6860000e+00 , 1.5856000e+00 )
+ ( -8.6860000e+00 , 1.5856000e+00 )
+ ( -8.6860000e+00 , 1.5856000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -8.7591000e+00 , 1.5767000e+00 )
+ ( -8.7591000e+00 , 1.5767000e+00 )
+ ( -8.7591000e+00 , 1.5767000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -8.8322000e+00 , 1.5679000e+00 )
+ ( -8.8322000e+00 , 1.5679000e+00 )
+ ( -8.8322000e+00 , 1.5679000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -8.9054000e+00 , 1.5592000e+00 )
+ ( -8.9054000e+00 , 1.5592000e+00 )
+ ( -8.9054000e+00 , 1.5592000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -8.9787000e+00 , 1.5506000e+00 )
+ ( -8.9787000e+00 , 1.5506000e+00 )
+ ( -8.9787000e+00 , 1.5506000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -9.0521000e+00 , 1.5421000e+00 )
+ ( -9.0521000e+00 , 1.5421000e+00 )
+ ( -9.0521000e+00 , 1.5421000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -9.1256000e+00 , 1.5337000e+00 )
+ ( -9.1256000e+00 , 1.5337000e+00 )
+ ( -9.1256000e+00 , 1.5337000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -9.1991000e+00 , 1.5254000e+00 )
+ ( -9.1991000e+00 , 1.5254000e+00 )
+ ( -9.1991000e+00 , 1.5254000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -9.2727000e+00 , 1.5173000e+00 )
+ ( -9.2727000e+00 , 1.5173000e+00 )
+ ( -9.2727000e+00 , 1.5173000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -9.3464000e+00 , 1.5091000e+00 )
+ ( -9.3464000e+00 , 1.5091000e+00 )
+ ( -9.3464000e+00 , 1.5091000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -9.4201000e+00 , 1.5011000e+00 )
+ ( -9.4201000e+00 , 1.5011000e+00 )
+ ( -9.4201000e+00 , 1.5011000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -9.4939000e+00 , 1.4931000e+00 )
+ ( -9.4939000e+00 , 1.4931000e+00 )
+ ( -9.4939000e+00 , 1.4931000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -9.5677000e+00 , 1.4853000e+00 )
+ ( -9.5677000e+00 , 1.4853000e+00 )
+ ( -9.5677000e+00 , 1.4853000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -9.6415000e+00 , 1.4774000e+00 )
+ ( -9.6415000e+00 , 1.4774000e+00 )
+ ( -9.6415000e+00 , 1.4774000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -9.7153000e+00 , 1.4697000e+00 )
+ ( -9.7153000e+00 , 1.4697000e+00 )
+ ( -9.7153000e+00 , 1.4697000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -9.7892000e+00 , 1.4620000e+00 )
+ ( -9.7892000e+00 , 1.4620000e+00 )
+ ( -9.7892000e+00 , 1.4620000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -9.8630000e+00 , 1.4544000e+00 )
+ ( -9.8630000e+00 , 1.4544000e+00 )
+ ( -9.8630000e+00 , 1.4544000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -9.9369000e+00 , 1.4466000e+00 )
+ ( -9.9369000e+00 , 1.4466000e+00 )
+ ( -9.9369000e+00 , 1.4466000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.0010700e+01 , 1.4392000e+00 )
+ ( -1.0010700e+01 , 1.4392000e+00 )
+ ( -1.0010700e+01 , 1.4392000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.0084600e+01 , 1.4317000e+00 )
+ ( -1.0084600e+01 , 1.4317000e+00 )
+ ( -1.0084600e+01 , 1.4317000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.0158400e+01 , 1.4243000e+00 )
+ ( -1.0158400e+01 , 1.4243000e+00 )
+ ( -1.0158400e+01 , 1.4243000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.0232200e+01 , 1.4169000e+00 )
+ ( -1.0232200e+01 , 1.4169000e+00 )
+ ( -1.0232200e+01 , 1.4169000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.0305900e+01 , 1.4095000e+00 )
+ ( -1.0305900e+01 , 1.4095000e+00 )
+ ( -1.0305900e+01 , 1.4095000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.0379600e+01 , 1.4022000e+00 )
+ ( -1.0379600e+01 , 1.4022000e+00 )
+ ( -1.0379600e+01 , 1.4022000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.0453300e+01 , 1.3949000e+00 )
+ ( -1.0453300e+01 , 1.3949000e+00 )
+ ( -1.0453300e+01 , 1.3949000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.0526900e+01 , 1.3876000e+00 )
+ ( -1.0526900e+01 , 1.3876000e+00 )
+ ( -1.0526900e+01 , 1.3876000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.0600400e+01 , 1.3803000e+00 )
+ ( -1.0600400e+01 , 1.3803000e+00 )
+ ( -1.0600400e+01 , 1.3803000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.0673500e+01 , 1.3727000e+00 )
+ ( -1.0673500e+01 , 1.3727000e+00 )
+ ( -1.0673500e+01 , 1.3727000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.0744800e+01 , 1.3631000e+00 )
+ ( -1.0744800e+01 , 1.3631000e+00 )
+ ( -1.0744800e+01 , 1.3631000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.0815900e+01 , 1.3535000e+00 )
+ ( -1.0815900e+01 , 1.3535000e+00 )
+ ( -1.0815900e+01 , 1.3535000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.0886900e+01 , 1.3440000e+00 )
+ ( -1.0886900e+01 , 1.3440000e+00 )
+ ( -1.0886900e+01 , 1.3440000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.0957800e+01 , 1.3345000e+00 )
+ ( -1.0957800e+01 , 1.3345000e+00 )
+ ( -1.0957800e+01 , 1.3345000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.1028600e+01 , 1.3250000e+00 )
+ ( -1.1028600e+01 , 1.3250000e+00 )
+ ( -1.1028600e+01 , 1.3250000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.1099400e+01 , 1.3155000e+00 )
+ ( -1.1099400e+01 , 1.3155000e+00 )
+ ( -1.1099400e+01 , 1.3155000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.1170000e+01 , 1.3061000e+00 )
+ ( -1.1170000e+01 , 1.3061000e+00 )
+ ( -1.1170000e+01 , 1.3061000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.1240600e+01 , 1.2967000e+00 )
+ ( -1.1240600e+01 , 1.2967000e+00 )
+ ( -1.1240600e+01 , 1.2967000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.1311200e+01 , 1.2873000e+00 )
+ ( -1.1311200e+01 , 1.2873000e+00 )
+ ( -1.1311200e+01 , 1.2873000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.1381600e+01 , 1.2780000e+00 )
+ ( -1.1381600e+01 , 1.2780000e+00 )
+ ( -1.1381600e+01 , 1.2780000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.1452000e+01 , 1.2688000e+00 )
+ ( -1.1452000e+01 , 1.2688000e+00 )
+ ( -1.1452000e+01 , 1.2688000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.1522300e+01 , 1.2596000e+00 )
+ ( -1.1522300e+01 , 1.2596000e+00 )
+ ( -1.1522300e+01 , 1.2596000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.1592600e+01 , 1.2505000e+00 )
+ ( -1.1592600e+01 , 1.2505000e+00 )
+ ( -1.1592600e+01 , 1.2505000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.1662800e+01 , 1.2415000e+00 )
+ ( -1.1662800e+01 , 1.2415000e+00 )
+ ( -1.1662800e+01 , 1.2415000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.1732900e+01 , 1.2325000e+00 )
+ ( -1.1732900e+01 , 1.2325000e+00 )
+ ( -1.1732900e+01 , 1.2325000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.1803000e+01 , 1.2236000e+00 )
+ ( -1.1803000e+01 , 1.2236000e+00 )
+ ( -1.1803000e+01 , 1.2236000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.1873000e+01 , 1.2148000e+00 )
+ ( -1.1873000e+01 , 1.2148000e+00 )
+ ( -1.1873000e+01 , 1.2148000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.1943000e+01 , 1.2062000e+00 )
+ ( -1.1943000e+01 , 1.2062000e+00 )
+ ( -1.1943000e+01 , 1.2062000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2013000e+01 , 1.1976000e+00 )
+ ( -1.2013000e+01 , 1.1976000e+00 )
+ ( -1.2013000e+01 , 1.1976000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2082900e+01 , 1.1891000e+00 )
+ ( -1.2082900e+01 , 1.1891000e+00 )
+ ( -1.2082900e+01 , 1.1891000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2152700e+01 , 1.1807000e+00 )
+ ( -1.2152700e+01 , 1.1807000e+00 )
+ ( -1.2152700e+01 , 1.1807000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2222500e+01 , 1.1724000e+00 )
+ ( -1.2222500e+01 , 1.1724000e+00 )
+ ( -1.2222500e+01 , 1.1724000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2292300e+01 , 1.1643000e+00 )
+ ( -1.2292300e+01 , 1.1643000e+00 )
+ ( -1.2292300e+01 , 1.1643000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2362000e+01 , 1.1562000e+00 )
+ ( -1.2362000e+01 , 1.1562000e+00 )
+ ( -1.2362000e+01 , 1.1562000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2431700e+01 , 1.1483000e+00 )
+ ( -1.2431700e+01 , 1.1483000e+00 )
+ ( -1.2431700e+01 , 1.1483000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2501400e+01 , 1.1406000e+00 )
+ ( -1.2501400e+01 , 1.1406000e+00 )
+ ( -1.2501400e+01 , 1.1406000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2571000e+01 , 1.1329000e+00 )
+ ( -1.2571000e+01 , 1.1329000e+00 )
+ ( -1.2571000e+01 , 1.1329000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2640800e+01 , 1.1254000e+00 )
+ ( -1.2640800e+01 , 1.1254000e+00 )
+ ( -1.2640800e+01 , 1.1254000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2710300e+01 , 1.1181000e+00 )
+ ( -1.2710300e+01 , 1.1181000e+00 )
+ ( -1.2710300e+01 , 1.1181000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2779800e+01 , 1.1109000e+00 )
+ ( -1.2779800e+01 , 1.1109000e+00 )
+ ( -1.2779800e+01 , 1.1109000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2849400e+01 , 1.1039000e+00 )
+ ( -1.2849400e+01 , 1.1039000e+00 )
+ ( -1.2849400e+01 , 1.1039000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2919000e+01 , 1.0969000e+00 )
+ ( -1.2919000e+01 , 1.0969000e+00 )
+ ( -1.2919000e+01 , 1.0969000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.2988500e+01 , 1.0902000e+00 )
+ ( -1.2988500e+01 , 1.0902000e+00 )
+ ( -1.2988500e+01 , 1.0902000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.3058000e+01 , 1.0837000e+00 )
+ ( -1.3058000e+01 , 1.0837000e+00 )
+ ( -1.3058000e+01 , 1.0837000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.3127500e+01 , 1.0773000e+00 )
+ ( -1.3127500e+01 , 1.0773000e+00 )
+ ( -1.3127500e+01 , 1.0773000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.3197100e+01 , 1.0710000e+00 )
+ ( -1.3197100e+01 , 1.0710000e+00 )
+ ( -1.3197100e+01 , 1.0710000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.3266600e+01 , 1.0650000e+00 )
+ ( -1.3266600e+01 , 1.0650000e+00 )
+ ( -1.3266600e+01 , 1.0650000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.3336100e+01 , 1.0591000e+00 )
+ ( -1.3336100e+01 , 1.0591000e+00 )
+ ( -1.3336100e+01 , 1.0591000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.3405600e+01 , 1.0535000e+00 )
+ ( -1.3405600e+01 , 1.0535000e+00 )
+ ( -1.3405600e+01 , 1.0535000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.3475100e+01 , 1.0480000e+00 )
+ ( -1.3475100e+01 , 1.0480000e+00 )
+ ( -1.3475100e+01 , 1.0480000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.3544600e+01 , 1.0427000e+00 )
+ ( -1.3544600e+01 , 1.0427000e+00 )
+ ( -1.3544600e+01 , 1.0427000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.3614200e+01 , 1.0376000e+00 )
+ ( -1.3614200e+01 , 1.0376000e+00 )
+ ( -1.3614200e+01 , 1.0376000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.3683800e+01 , 1.0338000e+00 )
+ ( -1.3683800e+01 , 1.0338000e+00 )
+ ( -1.3683800e+01 , 1.0338000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.3753600e+01 , 1.0313000e+00 )
+ ( -1.3753600e+01 , 1.0313000e+00 )
+ ( -1.3753600e+01 , 1.0313000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.3823400e+01 , 1.0289000e+00 )
+ ( -1.3823400e+01 , 1.0289000e+00 )
+ ( -1.3823400e+01 , 1.0289000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.3893200e+01 , 1.0268000e+00 )
+ ( -1.3893200e+01 , 1.0268000e+00 )
+ ( -1.3893200e+01 , 1.0268000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.3963000e+01 , 1.0248000e+00 )
+ ( -1.3963000e+01 , 1.0248000e+00 )
+ ( -1.3963000e+01 , 1.0248000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.4032800e+01 , 1.0230000e+00 )
+ ( -1.4032800e+01 , 1.0230000e+00 )
+ ( -1.4032800e+01 , 1.0230000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.4102700e+01 , 1.0215000e+00 )
+ ( -1.4102700e+01 , 1.0215000e+00 )
+ ( -1.4102700e+01 , 1.0215000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.4172500e+01 , 1.0200000e+00 )
+ ( -1.4172500e+01 , 1.0200000e+00 )
+ ( -1.4172500e+01 , 1.0200000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.4242500e+01 , 1.0188000e+00 )
+ ( -1.4242500e+01 , 1.0188000e+00 )
+ ( -1.4242500e+01 , 1.0188000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.4312400e+01 , 1.0177000e+00 )
+ ( -1.4312400e+01 , 1.0177000e+00 )
+ ( -1.4312400e+01 , 1.0177000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.4382300e+01 , 1.0168000e+00 )
+ ( -1.4382300e+01 , 1.0168000e+00 )
+ ( -1.4382300e+01 , 1.0168000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.4452300e+01 , 1.0161000e+00 )
+ ( -1.4452300e+01 , 1.0161000e+00 )
+ ( -1.4452300e+01 , 1.0161000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.4522300e+01 , 1.0155000e+00 )
+ ( -1.4522300e+01 , 1.0155000e+00 )
+ ( -1.4522300e+01 , 1.0155000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.4592400e+01 , 1.0151000e+00 )
+ ( -1.4592400e+01 , 1.0151000e+00 )
+ ( -1.4592400e+01 , 1.0151000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.4662400e+01 , 1.0148000e+00 )
+ ( -1.4662400e+01 , 1.0148000e+00 )
+ ( -1.4662400e+01 , 1.0148000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.4732600e+01 , 1.0147000e+00 )
+ ( -1.4732600e+01 , 1.0147000e+00 )
+ ( -1.4732600e+01 , 1.0147000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.4802700e+01 , 1.0148000e+00 )
+ ( -1.4802700e+01 , 1.0148000e+00 )
+ ( -1.4802700e+01 , 1.0148000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.4872900e+01 , 1.0150000e+00 )
+ ( -1.4872900e+01 , 1.0150000e+00 )
+ ( -1.4872900e+01 , 1.0150000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.4943100e+01 , 1.0153000e+00 )
+ ( -1.4943100e+01 , 1.0153000e+00 )
+ ( -1.4943100e+01 , 1.0153000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.5013300e+01 , 1.0158000e+00 )
+ ( -1.5013300e+01 , 1.0158000e+00 )
+ ( -1.5013300e+01 , 1.0158000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.5083600e+01 , 1.0164000e+00 )
+ ( -1.5083600e+01 , 1.0164000e+00 )
+ ( -1.5083600e+01 , 1.0164000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.5154000e+01 , 1.0172000e+00 )
+ ( -1.5154000e+01 , 1.0172000e+00 )
+ ( -1.5154000e+01 , 1.0172000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.5224300e+01 , 1.0180000e+00 )
+ ( -1.5224300e+01 , 1.0180000e+00 )
+ ( -1.5224300e+01 , 1.0180000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.5294800e+01 , 1.0190000e+00 )
+ ( -1.5294800e+01 , 1.0190000e+00 )
+ ( -1.5294800e+01 , 1.0190000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.5365200e+01 , 1.0202000e+00 )
+ ( -1.5365200e+01 , 1.0202000e+00 )
+ ( -1.5365200e+01 , 1.0202000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.5435700e+01 , 1.0215000e+00 )
+ ( -1.5435700e+01 , 1.0215000e+00 )
+ ( -1.5435700e+01 , 1.0215000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.5506300e+01 , 1.0228000e+00 )
+ ( -1.5506300e+01 , 1.0228000e+00 )
+ ( -1.5506300e+01 , 1.0228000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.5576900e+01 , 1.0243000e+00 )
+ ( -1.5576900e+01 , 1.0243000e+00 )
+ ( -1.5576900e+01 , 1.0243000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.5647500e+01 , 1.0260000e+00 )
+ ( -1.5647500e+01 , 1.0260000e+00 )
+ ( -1.5647500e+01 , 1.0260000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.5718200e+01 , 1.0277000e+00 )
+ ( -1.5718200e+01 , 1.0277000e+00 )
+ ( -1.5718200e+01 , 1.0277000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.5789000e+01 , 1.0295000e+00 )
+ ( -1.5789000e+01 , 1.0295000e+00 )
+ ( -1.5789000e+01 , 1.0295000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.5859700e+01 , 1.0315000e+00 )
+ ( -1.5859700e+01 , 1.0315000e+00 )
+ ( -1.5859700e+01 , 1.0315000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.5930600e+01 , 1.0335000e+00 )
+ ( -1.5930600e+01 , 1.0335000e+00 )
+ ( -1.5930600e+01 , 1.0335000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6001500e+01 , 1.0357000e+00 )
+ ( -1.6001500e+01 , 1.0357000e+00 )
+ ( -1.6001500e+01 , 1.0357000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6072400e+01 , 1.0379000e+00 )
+ ( -1.6072400e+01 , 1.0379000e+00 )
+ ( -1.6072400e+01 , 1.0379000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6143500e+01 , 1.0403000e+00 )
+ ( -1.6143500e+01 , 1.0403000e+00 )
+ ( -1.6143500e+01 , 1.0403000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6214500e+01 , 1.0427000e+00 )
+ ( -1.6214500e+01 , 1.0427000e+00 )
+ ( -1.6214500e+01 , 1.0427000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6285600e+01 , 1.0453000e+00 )
+ ( -1.6285600e+01 , 1.0453000e+00 )
+ ( -1.6285600e+01 , 1.0453000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6356800e+01 , 1.0479000e+00 )
+ ( -1.6356800e+01 , 1.0479000e+00 )
+ ( -1.6356800e+01 , 1.0479000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6428100e+01 , 1.0506000e+00 )
+ ( -1.6428100e+01 , 1.0506000e+00 )
+ ( -1.6428100e+01 , 1.0506000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6499400e+01 , 1.0534000e+00 )
+ ( -1.6499400e+01 , 1.0534000e+00 )
+ ( -1.6499400e+01 , 1.0534000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6570700e+01 , 1.0563000e+00 )
+ ( -1.6570700e+01 , 1.0563000e+00 )
+ ( -1.6570700e+01 , 1.0563000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6642100e+01 , 1.0592000e+00 )
+ ( -1.6642100e+01 , 1.0592000e+00 )
+ ( -1.6642100e+01 , 1.0592000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6713600e+01 , 1.0622000e+00 )
+ ( -1.6713600e+01 , 1.0622000e+00 )
+ ( -1.6713600e+01 , 1.0622000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6785200e+01 , 1.0653000e+00 )
+ ( -1.6785200e+01 , 1.0653000e+00 )
+ ( -1.6785200e+01 , 1.0653000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6856700e+01 , 1.0682000e+00 )
+ ( -1.6856700e+01 , 1.0682000e+00 )
+ ( -1.6856700e+01 , 1.0682000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6928200e+01 , 1.0709000e+00 )
+ ( -1.6928200e+01 , 1.0709000e+00 )
+ ( -1.6928200e+01 , 1.0709000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.6999900e+01 , 1.0736000e+00 )
+ ( -1.6999900e+01 , 1.0736000e+00 )
+ ( -1.6999900e+01 , 1.0736000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7071500e+01 , 1.0764000e+00 )
+ ( -1.7071500e+01 , 1.0764000e+00 )
+ ( -1.7071500e+01 , 1.0764000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7143300e+01 , 1.0793000e+00 )
+ ( -1.7143300e+01 , 1.0793000e+00 )
+ ( -1.7143300e+01 , 1.0793000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7215100e+01 , 1.0822000e+00 )
+ ( -1.7215100e+01 , 1.0822000e+00 )
+ ( -1.7215100e+01 , 1.0822000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7287000e+01 , 1.0852000e+00 )
+ ( -1.7287000e+01 , 1.0852000e+00 )
+ ( -1.7287000e+01 , 1.0852000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7359000e+01 , 1.0882000e+00 )
+ ( -1.7359000e+01 , 1.0882000e+00 )
+ ( -1.7359000e+01 , 1.0882000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7431000e+01 , 1.0914000e+00 )
+ ( -1.7431000e+01 , 1.0914000e+00 )
+ ( -1.7431000e+01 , 1.0914000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7503100e+01 , 1.0945000e+00 )
+ ( -1.7503100e+01 , 1.0945000e+00 )
+ ( -1.7503100e+01 , 1.0945000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7575300e+01 , 1.0978000e+00 )
+ ( -1.7575300e+01 , 1.0978000e+00 )
+ ( -1.7575300e+01 , 1.0978000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7647500e+01 , 1.1011000e+00 )
+ ( -1.7647500e+01 , 1.1011000e+00 )
+ ( -1.7647500e+01 , 1.1011000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7719900e+01 , 1.1044000e+00 )
+ ( -1.7719900e+01 , 1.1044000e+00 )
+ ( -1.7719900e+01 , 1.1044000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7792300e+01 , 1.1078000e+00 )
+ ( -1.7792300e+01 , 1.1078000e+00 )
+ ( -1.7792300e+01 , 1.1078000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7864800e+01 , 1.1113000e+00 )
+ ( -1.7864800e+01 , 1.1113000e+00 )
+ ( -1.7864800e+01 , 1.1113000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.7937300e+01 , 1.1148000e+00 )
+ ( -1.7937300e+01 , 1.1148000e+00 )
+ ( -1.7937300e+01 , 1.1148000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8009900e+01 , 1.1184000e+00 )
+ ( -1.8009900e+01 , 1.1184000e+00 )
+ ( -1.8009900e+01 , 1.1184000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8082700e+01 , 1.1220000e+00 )
+ ( -1.8082700e+01 , 1.1220000e+00 )
+ ( -1.8082700e+01 , 1.1220000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8155500e+01 , 1.1257000e+00 )
+ ( -1.8155500e+01 , 1.1257000e+00 )
+ ( -1.8155500e+01 , 1.1257000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8228400e+01 , 1.1295000e+00 )
+ ( -1.8228400e+01 , 1.1295000e+00 )
+ ( -1.8228400e+01 , 1.1295000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8301400e+01 , 1.1333000e+00 )
+ ( -1.8301400e+01 , 1.1333000e+00 )
+ ( -1.8301400e+01 , 1.1333000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8374500e+01 , 1.1371000e+00 )
+ ( -1.8374500e+01 , 1.1371000e+00 )
+ ( -1.8374500e+01 , 1.1371000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8447600e+01 , 1.1410000e+00 )
+ ( -1.8447600e+01 , 1.1410000e+00 )
+ ( -1.8447600e+01 , 1.1410000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8520700e+01 , 1.1449000e+00 )
+ ( -1.8520700e+01 , 1.1449000e+00 )
+ ( -1.8520700e+01 , 1.1449000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8594200e+01 , 1.1489000e+00 )
+ ( -1.8594200e+01 , 1.1489000e+00 )
+ ( -1.8594200e+01 , 1.1489000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8667600e+01 , 1.1529000e+00 )
+ ( -1.8667600e+01 , 1.1529000e+00 )
+ ( -1.8667600e+01 , 1.1529000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8741100e+01 , 1.1570000e+00 )
+ ( -1.8741100e+01 , 1.1570000e+00 )
+ ( -1.8741100e+01 , 1.1570000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8814700e+01 , 1.1612000e+00 )
+ ( -1.8814700e+01 , 1.1612000e+00 )
+ ( -1.8814700e+01 , 1.1612000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8888400e+01 , 1.1653000e+00 )
+ ( -1.8888400e+01 , 1.1653000e+00 )
+ ( -1.8888400e+01 , 1.1653000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.8962100e+01 , 1.1695000e+00 )
+ ( -1.8962100e+01 , 1.1695000e+00 )
+ ( -1.8962100e+01 , 1.1695000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9036000e+01 , 1.1738000e+00 )
+ ( -1.9036000e+01 , 1.1738000e+00 )
+ ( -1.9036000e+01 , 1.1738000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9110000e+01 , 1.1781000e+00 )
+ ( -1.9110000e+01 , 1.1781000e+00 )
+ ( -1.9110000e+01 , 1.1781000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9184100e+01 , 1.1824000e+00 )
+ ( -1.9184100e+01 , 1.1824000e+00 )
+ ( -1.9184100e+01 , 1.1824000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9258200e+01 , 1.1868000e+00 )
+ ( -1.9258200e+01 , 1.1868000e+00 )
+ ( -1.9258200e+01 , 1.1868000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9332500e+01 , 1.1912000e+00 )
+ ( -1.9332500e+01 , 1.1912000e+00 )
+ ( -1.9332500e+01 , 1.1912000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9406800e+01 , 1.1957000e+00 )
+ ( -1.9406800e+01 , 1.1957000e+00 )
+ ( -1.9406800e+01 , 1.1957000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9481300e+01 , 1.2002000e+00 )
+ ( -1.9481300e+01 , 1.2002000e+00 )
+ ( -1.9481300e+01 , 1.2002000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9555800e+01 , 1.2047000e+00 )
+ ( -1.9555800e+01 , 1.2047000e+00 )
+ ( -1.9555800e+01 , 1.2047000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9630400e+01 , 1.2093000e+00 )
+ ( -1.9630400e+01 , 1.2093000e+00 )
+ ( -1.9630400e+01 , 1.2093000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9705200e+01 , 1.2139000e+00 )
+ ( -1.9705200e+01 , 1.2139000e+00 )
+ ( -1.9705200e+01 , 1.2139000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9780000e+01 , 1.2185000e+00 )
+ ( -1.9780000e+01 , 1.2185000e+00 )
+ ( -1.9780000e+01 , 1.2185000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9855000e+01 , 1.2232000e+00 )
+ ( -1.9855000e+01 , 1.2232000e+00 )
+ ( -1.9855000e+01 , 1.2232000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -1.9930000e+01 , 1.2279000e+00 )
+ ( -1.9930000e+01 , 1.2279000e+00 )
+ ( -1.9930000e+01 , 1.2279000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0005100e+01 , 1.2327000e+00 )
+ ( -2.0005100e+01 , 1.2327000e+00 )
+ ( -2.0005100e+01 , 1.2327000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0080400e+01 , 1.2375000e+00 )
+ ( -2.0080400e+01 , 1.2375000e+00 )
+ ( -2.0080400e+01 , 1.2375000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0155800e+01 , 1.2423000e+00 )
+ ( -2.0155800e+01 , 1.2423000e+00 )
+ ( -2.0155800e+01 , 1.2423000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0231200e+01 , 1.2471000e+00 )
+ ( -2.0231200e+01 , 1.2471000e+00 )
+ ( -2.0231200e+01 , 1.2471000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0306800e+01 , 1.2511000e+00 )
+ ( -2.0306800e+01 , 1.2511000e+00 )
+ ( -2.0306800e+01 , 1.2511000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0382500e+01 , 1.2569000e+00 )
+ ( -2.0382500e+01 , 1.2569000e+00 )
+ ( -2.0382500e+01 , 1.2569000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0458300e+01 , 1.2618000e+00 )
+ ( -2.0458300e+01 , 1.2618000e+00 )
+ ( -2.0458300e+01 , 1.2618000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0534200e+01 , 1.2668000e+00 )
+ ( -2.0534200e+01 , 1.2668000e+00 )
+ ( -2.0534200e+01 , 1.2668000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0610200e+01 , 1.2718000e+00 )
+ ( -2.0610200e+01 , 1.2718000e+00 )
+ ( -2.0610200e+01 , 1.2718000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0686400e+01 , 1.2769000e+00 )
+ ( -2.0686400e+01 , 1.2769000e+00 )
+ ( -2.0686400e+01 , 1.2769000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0762800e+01 , 1.2821000e+00 )
+ ( -2.0762800e+01 , 1.2821000e+00 )
+ ( -2.0762800e+01 , 1.2821000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0839300e+01 , 1.2873000e+00 )
+ ( -2.0839300e+01 , 1.2873000e+00 )
+ ( -2.0839300e+01 , 1.2873000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0915600e+01 , 1.2925000e+00 )
+ ( -2.0915600e+01 , 1.2925000e+00 )
+ ( -2.0915600e+01 , 1.2925000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.0992500e+01 , 1.2977000e+00 )
+ ( -2.0992500e+01 , 1.2977000e+00 )
+ ( -2.0992500e+01 , 1.2977000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1069400e+01 , 1.3030000e+00 )
+ ( -2.1069400e+01 , 1.3030000e+00 )
+ ( -2.1069400e+01 , 1.3030000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1146300e+01 , 1.3083000e+00 )
+ ( -2.1146300e+01 , 1.3083000e+00 )
+ ( -2.1146300e+01 , 1.3083000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1223300e+01 , 1.3136000e+00 )
+ ( -2.1223300e+01 , 1.3136000e+00 )
+ ( -2.1223300e+01 , 1.3136000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1300400e+01 , 1.3189000e+00 )
+ ( -2.1300400e+01 , 1.3189000e+00 )
+ ( -2.1300400e+01 , 1.3189000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1377700e+01 , 1.3243000e+00 )
+ ( -2.1377700e+01 , 1.3243000e+00 )
+ ( -2.1377700e+01 , 1.3243000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1455100e+01 , 1.3296000e+00 )
+ ( -2.1455100e+01 , 1.3296000e+00 )
+ ( -2.1455100e+01 , 1.3296000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1532600e+01 , 1.3350000e+00 )
+ ( -2.1532600e+01 , 1.3350000e+00 )
+ ( -2.1532600e+01 , 1.3350000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1610100e+01 , 1.3404000e+00 )
+ ( -2.1610100e+01 , 1.3404000e+00 )
+ ( -2.1610100e+01 , 1.3404000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1687800e+01 , 1.3458000e+00 )
+ ( -2.1687800e+01 , 1.3458000e+00 )
+ ( -2.1687800e+01 , 1.3458000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1765700e+01 , 1.3513000e+00 )
+ ( -2.1765700e+01 , 1.3513000e+00 )
+ ( -2.1765700e+01 , 1.3513000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1843600e+01 , 1.3567000e+00 )
+ ( -2.1843600e+01 , 1.3567000e+00 )
+ ( -2.1843600e+01 , 1.3567000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1921600e+01 , 1.3622000e+00 )
+ ( -2.1921600e+01 , 1.3622000e+00 )
+ ( -2.1921600e+01 , 1.3622000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.1999800e+01 , 1.3677000e+00 )
+ ( -2.1999800e+01 , 1.3677000e+00 )
+ ( -2.1999800e+01 , 1.3677000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.2078100e+01 , 1.3731000e+00 )
+ ( -2.2078100e+01 , 1.3731000e+00 )
+ ( -2.2078100e+01 , 1.3731000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.2156400e+01 , 1.3786000e+00 )
+ ( -2.2156400e+01 , 1.3786000e+00 )
+ ( -2.2156400e+01 , 1.3786000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.2234900e+01 , 1.3842000e+00 )
+ ( -2.2234900e+01 , 1.3842000e+00 )
+ ( -2.2234900e+01 , 1.3842000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.2313600e+01 , 1.3897000e+00 )
+ ( -2.2313600e+01 , 1.3897000e+00 )
+ ( -2.2313600e+01 , 1.3897000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.2392300e+01 , 1.3952000e+00 )
+ ( -2.2392300e+01 , 1.3952000e+00 )
+ ( -2.2392300e+01 , 1.3952000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.2471100e+01 , 1.4007000e+00 )
+ ( -2.2471100e+01 , 1.4007000e+00 )
+ ( -2.2471100e+01 , 1.4007000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.2550100e+01 , 1.4063000e+00 )
+ ( -2.2550100e+01 , 1.4063000e+00 )
+ ( -2.2550100e+01 , 1.4063000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.2629200e+01 , 1.4118000e+00 )
+ ( -2.2629200e+01 , 1.4118000e+00 )
+ ( -2.2629200e+01 , 1.4118000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.2708300e+01 , 1.4174000e+00 )
+ ( -2.2708300e+01 , 1.4174000e+00 )
+ ( -2.2708300e+01 , 1.4174000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.2787600e+01 , 1.4229000e+00 )
+ ( -2.2787600e+01 , 1.4229000e+00 )
+ ( -2.2787600e+01 , 1.4229000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.2867100e+01 , 1.4285000e+00 )
+ ( -2.2867100e+01 , 1.4285000e+00 )
+ ( -2.2867100e+01 , 1.4285000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.2946600e+01 , 1.4341000e+00 )
+ ( -2.2946600e+01 , 1.4341000e+00 )
+ ( -2.2946600e+01 , 1.4341000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.3026200e+01 , 1.4396000e+00 )
+ ( -2.3026200e+01 , 1.4396000e+00 )
+ ( -2.3026200e+01 , 1.4396000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.3106000e+01 , 1.4452000e+00 )
+ ( -2.3106000e+01 , 1.4452000e+00 )
+ ( -2.3106000e+01 , 1.4452000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.3185900e+01 , 1.4508000e+00 )
+ ( -2.3185900e+01 , 1.4508000e+00 )
+ ( -2.3185900e+01 , 1.4508000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.3265900e+01 , 1.4564000e+00 )
+ ( -2.3265900e+01 , 1.4564000e+00 )
+ ( -2.3265900e+01 , 1.4564000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.3346000e+01 , 1.4620000e+00 )
+ ( -2.3346000e+01 , 1.4620000e+00 )
+ ( -2.3346000e+01 , 1.4620000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.3426200e+01 , 1.4675000e+00 )
+ ( -2.3426200e+01 , 1.4675000e+00 )
+ ( -2.3426200e+01 , 1.4675000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.3506600e+01 , 1.4731000e+00 )
+ ( -2.3506600e+01 , 1.4731000e+00 )
+ ( -2.3506600e+01 , 1.4731000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.3587000e+01 , 1.4787000e+00 )
+ ( -2.3587000e+01 , 1.4787000e+00 )
+ ( -2.3587000e+01 , 1.4787000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.3667600e+01 , 1.4842000e+00 )
+ ( -2.3667600e+01 , 1.4842000e+00 )
+ ( -2.3667600e+01 , 1.4842000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.3748300e+01 , 1.4898000e+00 )
+ ( -2.3748300e+01 , 1.4898000e+00 )
+ ( -2.3748300e+01 , 1.4898000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.3829100e+01 , 1.4954000e+00 )
+ ( -2.3829100e+01 , 1.4954000e+00 )
+ ( -2.3829100e+01 , 1.4954000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.3910100e+01 , 1.5009000e+00 )
+ ( -2.3910100e+01 , 1.5009000e+00 )
+ ( -2.3910100e+01 , 1.5009000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.3991100e+01 , 1.5065000e+00 )
+ ( -2.3991100e+01 , 1.5065000e+00 )
+ ( -2.3991100e+01 , 1.5065000e+00 )
+ ( 2.2500000e+00 , 0.0000000e+00 )
+ ( -2.4072300e+01 , 1.5120000e+00 )
+ ( -2.4072300e+01 , 1.5120000e+00 )
+ ( -2.4072300e+01 , 1.5120000e+00 )
\ No newline at end of file
diff --git a/test_data/cluster/case_3/clu_s8L23.f b/test_data/cluster/case_3/clu_s8L23.f
new file mode 100644
index 0000000000000000000000000000000000000000..83609769ab5843a7b16e019e41093bd731719e79
--- /dev/null
+++ b/test_data/cluster/case_3/clu_s8L23.f
@@ -0,0 +1,3474 @@
+ PROGRAM CLU
+CCC 111130
+CCC SUPPORTS EXPERIMENTAL DIELECTRIC FUNCTIONS ONLY
+CCC NSPH=8; LI=23, LE=23; NXI=2000
+CCC
+CCC FOR IDFC>=0 ONLY,
+CCC WHEN JXI=JWTM WRITES THE JWTM-TH TRANSITION MATRIX
+CCC
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC COMMON/C1/VH(NCOU*LITPO),VJ0(NSPH*LMTPO),
+CCC 1VYHJ(NCOU*LITPOS),VYJ0(NSPH*LMTPOS),
+CCC 2RMI(LI,NSPH),REI(LI,NSPH),W(NLEMT,4),
+CCC 3AM0M(NLEMT,NLEMT),FSAS(NSPH),SAS(NSPH,2,2),VINTS(NSPH,16),
+CCC 4V3J0(NV3J),SSCS(NSPH),SEXS(NSPH),SABS(NSPH),
+CCC 5SQSCS(NSPH),SQEXS(NSPH),SQABS(NSPH),GCSV(NSPH),
+CCC 6RXX(NSPH),RYY(NSPH),RZZ(NSPH),ROS(NSPH),RC(NSPH,NSHL),
+CCC 7IND3J(LMPO,LM),IOG(NSPH),NSHL(NSPH)
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+CCC COMMON/C2/RIS(NHSPO),DLRI(NHSPO),DC0(NSHL-NTL+1),
+CCC 1VKT(NSPH),VSZ(NSPH)
+CCC NHSPO=MAX0(NPNT,NPNTTS)*2-1
+ COMMON/C2/RIS(999),DLRI(999),DC0(5),VKT(8),VSZ(8)
+ COMPLEX*16 RIS,DLRI,DC0,VKT
+ COMMON/C3/TFSAS,TSAS(2,2),GCS,SCS,ECS,ACS
+ COMPLEX*16 TFSAS,TSAS
+ COMMON/C4/LITPO,LITPOS,LMTPO,LMTPOS,LI,NLIM,LE,NLEM,NSPH
+CCC COMMON/C6/RAC3J(LMTPO)
+ COMMON/C6/RAC3J(47)
+CCC COMMON/C9/GIS(NDI,NLEM),GLS(NDI,NLEM),SAM(NDIT,NLEMT)
+ COMMON/C9/GIS(4600,575),GLS(4600,575),SAM(9200,1150)
+ COMPLEX*16 GIS,GLS,SAM
+CCC DIMENSION AM(MXNDM,MXNDM)
+CCC NDIT.LE.MXNDM
+ DIMENSION AM(9200,9200)
+ COMPLEX*16 AM
+CCC DIMENSION RCF(NSPH,NSHL)
+ DIMENSION RCF(8,8),CMULLR(4,4),CMUL(4,4),CEXTLR(4,4),CEXT(4,4),
+ 1U(3),US(3),UN(3),UNS(3),UP(3),UPS(3),
+ 2UNMP(3),UNSMP(3),UPMP(3),UPSMP(3),DUK(3),ARGI(1),ARGS(1)
+CCC DIMENSION ZPV(LM,3,2,2),GAPS(NSPH)
+ DIMENSION ZPV(23,3,2,2),GAPS(8),GAPV(3),
+ 1GAP(3,2),GAPP(3,2),GAPM(3,2),GAPPM(3,2)
+ COMPLEX*16 GAPP,GAPPM
+CCC DIMENSION TQSE(2,NSPH),TQSPE(2,NSPH),TQSS(2,NSPH),TQSPS(2,NSPH)
+ DIMENSION TQSE(2,8),TQSPE(2,8),TQSS(2,8),TQSPS(2,8),
+ 1TQEV(3),TQSV(3),TQCE(2,3),TQCPE(2,3),TQCS(2,3),TQCPS(2,3)
+ COMPLEX*16 TQSPE,TQSPS,TQCPE,TQCPS
+CCC DIMENSION DC0M(NSPH,NSHL-NTL),XIV(NXI)
+ DIMENSION DC0M(8,4),XIV(2000)
+ COMPLEX*16 DC0M
+ COMPLEX*16 ARG,S0,S0M
+ 8010 FORMAT(1H ,16I5)
+ 8015 FORMAT(1H ,
+ 1'READ(IR,*)NSPH,LI,LE,MXNDM,INPOL,NPNT,NPNTTS,IAVM,ISAM')
+ 8050 FORMAT(3(1PD17.8))
+ 8060 FORMAT(1H ,'READ(IR,*)RXX(I),RYY(I),RZZ(I)')
+ 8068 FORMAT(1H ,'READ(IR,*)TH,THSTP,THLST,THS,THSSTP,THSLST')
+ 8069 FORMAT(1H ,'READ(IR,*)PH,PHSTP,PHLST,PHS,PHSSTP,PHSLST')
+ 8170 FORMAT(1H ,7(1PD10.3))
+ 8171 FORMAT(1H ,'READ(IR,*)JWTM')
+ 6000 FORMAT(1H )
+ 6050 FORMAT(1H ,' SIZE=',1PD15.7,', REFRACTIVE INDEX=',2(1PD15.7))
+ 6055 FORMAT(1H ,' SIZE=',1PD15.7)
+ 6060 FORMAT(1H ,' CIRC ',I2)
+ 6061 FORMAT(1H ,' CIRC')
+ 6065 FORMAT(1H ,' LIN ',I2)
+ 6066 FORMAT(1H ,' LIN')
+ 6068 FORMAT(1H ,4X,'SPHERES; LMX=LI')
+ 6069 FORMAT(1H ,4X,'SPHERES; LMX=MIN0(LI,LE)')
+ 6070 FORMAT(1H ,4X,'SPHERE ',I2)
+ 6080 FORMAT(1H ,4X,'CLUSTER')
+ 6100 FORMAT(1H ,'----- SCS ----- ABS ----- EXS ----- ALBEDS --')
+ 6150 FORMAT(1H ,1PD14.7,5(1PD15.7))
+ 6165 FORMAT(1H ,' UN=(',1PD12.5,',',1PD12.5,',',1PD12.5,')')
+ 6166 FORMAT(1H ,' UNI=(',1PD12.5,',',1PD12.5,',',1PD12.5,')')
+ 6167 FORMAT(1H ,' UNS=(',1PD12.5,',',1PD12.5,',',1PD12.5,')')
+ 6200 FORMAT(1H ,'---- SCS/GS -- ABS/GS -- EXS/GS ---')
+ 6240 FORMAT(1H ,1X,'FSAS=',2(1PD15.7))
+ 6242 FORMAT(1H ,1X,'SAS(1,1)=',2(1PD15.7),', SAS(2,1)=',2(1PD15.7))
+ 6243 FORMAT(1H ,1X,'SAS(1,2)=',2(1PD15.7),', SAS(2,2)=',2(1PD15.7))
+ 6250 FORMAT(1H ,1X,'FSAT=',2(1PD15.7))
+ 6252 FORMAT(1H ,1X,'SAT(1,1)=',2(1PD15.7),', SAT(2,1)=',2(1PD15.7))
+ 6253 FORMAT(1H ,1X,'SAT(1,2)=',2(1PD15.7),', SAT(2,2)=',2(1PD15.7))
+ 6300 FORMAT(1H ,' STOP IN LUCIN: MATRIX SINGULAR')
+ 6331 FORMAT(1H ,1X,'MULS')
+ 6332 FORMAT(1H ,1X,'MULC')
+ 6336 FORMAT(1H ,1X,'MULSLR')
+ 6337 FORMAT(1H ,1X,'MULCLR')
+ 6350 FORMAT((1H ,7X,4(1PD15.7)))
+ 6460 FORMAT(1H ,4X,'CLUSTER (ENSEMBLE AVERAGE, MODE',I2,')')
+ 6500 FORMAT(1H ,'----- SCC ----- ABC ----- EXC ----- ALBEDC --')
+ 6550 FORMAT
+ 1(1H ,' AT ',I1,' LCALC=',I3,' TOO SMALL WITH ARG=',2(1PD15.7))
+ 6600 FORMAT(1H ,'--- SCC/TGS - ABC/TGS - EXC/TGS ---')
+ 6650 FORMAT(1H ,' STOP IN HJV')
+ 6700 FORMAT(1H ,'---- SCCRT --- ABCRT --- EXCRT ----')
+ 6710 FORMAT(1H ,' REFR. INDEX OF EXTERNAL MEDIUM=',1PD15.7)
+ 6714 FORMAT(1H ,' VK=',1PD15.7,', XI IS SCALE FACTOR FOR LENGTHS')
+ 6715 FORMAT(1H ,' VK=',1PD15.7,', XI=',1PD15.7)
+ 6716 FORMAT(1H ,' XI=',1PD15.7)
+ 6720 FORMAT(1H ,' TIDG=',1PD10.3,', PIDG=',1PD10.3,
+ 1', TSDG=',1PD10.3,', PSDG=',1PD10.3)
+ 6721 FORMAT(1H ,' CFMP=',1PD15.7,', SFMP=',1PD15.7)
+ 6722 FORMAT(1H ,' CFSP=',1PD15.7,', SFSP=',1PD15.7)
+ 6740 FORMAT(1H ,' SCAND=',1PD10.3)
+ 6750 FORMAT(1H ,' STOP IN DME')
+ 6800 FORMAT(1H ,1X,2('FSAC(',I1,',',I1,')=',2(1PD15.7),3X))
+ 6810 FORMAT(1H ,1X,2(' SAC(',I1,',',I1,')=',2(1PD15.7),3X))
+ 6850 FORMAT(1H ,1X,'RE(FSAC(',I1,',',I1,'))/RE(TFSAS)=',1PD15.7,
+ 1', IM(FSAC(',I1,',',I1,'))/IM(TFSAS)=',1PD15.7)
+ 6930 FORMAT(1H ,1X,'QSCHU=',1PD15.7,', PSCHU=',1PD15.7,
+ 1', S0MAG=',1PD15.7)
+ 6940 FORMAT(1H ,1X,'(RE(FSAC(1,1))-RE(FSAC(2,2)))/RE(FSAC(1,1))=',
+ 11PD15.7)
+ 6945 FORMAT(1H ,1X,'(IM(FSAC(1,1))-IM(FSAC(2,2)))/IM(FSAC(1,1))=',
+ 11PD15.7)
+ 6970 FORMAT(1H ,' COSAV=',1PD15.7,', RAPRS=',1PD15.7)
+ 6971 FORMAT(1H ,' Fx=',1PD15.7,', Fy=',1PD15.7,', Fz=',1PD15.7)
+ 6973 FORMAT(1H ,' Fl=',1PD15.7,', Fr=',1PD15.7,', Fk=',1PD15.7)
+ 6974 FORMAT(1H ,' Fk=',1PD15.7)
+ 6977 FORMAT(1H ,' IPO=',I2,', TQEk=',1PD15.7,', TQSk=',1PD15.7)
+ 6981 FORMAT
+ 1(1H ,' TQEx=',1PD15.7,', TQEy=',1PD15.7,', TQEz=',1PD15.7)
+ 6982 FORMAT
+ 1(1H ,' TQSx=',1PD15.7,', TQSy=',1PD15.7,', TQSz=',1PD15.7)
+ 6983 FORMAT
+ 1(1H ,' TQEl=',1PD15.7,', TQEr=',1PD15.7,', TQEk=',1PD15.7)
+ 6984 FORMAT
+ 1(1H ,' TQSl=',1PD15.7,', TQSr=',1PD15.7,', TQSk=',1PD15.7)
+ 6991 FORMAT('========== JXI =',I3,' ====================')
+ 6992 FORMAT('********** JTH =',I3,', JPH =',I3,
+ 1', JTHS =',I3,', JPHS =',I3,' ********************')
+ IR=5
+ IW=6
+ IT=7
+ ITIN=17
+CCC
+CCC OTHER COMMENTS IN FILE GLOBALCOMS
+CCC
+CCC
+CCC CONSTANTS APPEAR AS (...).X(...)D0, OR (...).X(...)D+X(X),
+CCC OR (...).X(...)D-X(X)
+CCC
+CCC
+CCC MXNDM IS FIRST NUMERICAL DECLARED DIMENSION OF AM;
+CCC NDIT=2*NDI; NDI=NSPH*NLIM
+CCC
+CCC
+CCC VK*ROS(I) IS SIZE PARAMETER in vacuo
+CCC
+CCC
+CCC OUTPUTS (NORMALIZED SCATTERING AMPLITUDE)*(2*PIG/(VK*VK)) IN m**3;
+CCC OUTPUTS FORCE*(c/I0) IN m**2;
+CCC OUTPUTS (EXT_TO_TORQUE) AND (SCA_TO_TORQUE) CONTRIBUTIONS
+CCC *(c/I0)*(VK*EXRI)**3; (TORQUE OUTPUTS)/(EXDC*VK*VK) ARE IN m**2
+CCC
+CCC
+CCC ON A LINEAR BASIS,
+CCC POLARIZATION (1), (1,ni), (ns,1) OR -1 IS PARALLE(l),
+CCC POLARIZATION (2), (2,ni), (ns,2) OR 1 IS PERPENDICULA(r);
+CCC ON A CIRCULAR BASIS,
+CCC POLARIZATION (1), (1,ni), (ns,1) OR -1 IS (R)ight,
+CCC POLARIZATION (2), (2,ni), (ns,2) OR 1 IS (L)eft;
+CCC ns=SCATWAVE POLARIZATION, ni=INCWAVE POLARIZATION
+CCC
+CCC
+CCC NV3J=(LM*LMPO*(LMT+7))/6;
+CCC LM=MAX0(LI,LE)
+CCC
+CCC
+CCC IAVM=0 --> RANDOM AVERAGES FOR AMPLITUDE AND CROSS SECTIONS;
+CCC IAVM=1 --> SAME AS IAVM=0, PLUS RANDOM AVERAGES FOR INTENSITY
+CCC
+CCC
+CCC ISAM<0 --> ARBITRARILY VARYING SCATTERING PLANE,
+CCC AS IT IS UNDEFINED FOR FORWARD OR BACKWARD SCATTERING,
+CCC MERIDIONAL PLANE FOR INCIDENCE ANGLES IS ASSUMED;
+CCC ISAM=0 --> MERIDIONAL PLANES
+CCC (I. E. REFERENCE PLANES ACROSS Z AXIS)
+CCC AS DETERMINED BY INCIDENCE AND OBSERVATION ANGLES;
+CCC ISAM=1 --> SCATTERING PLANE ACROSS THE Z AXIS; SCATTERING
+CCC AS A FUNCTION OF INCIDENCE AND OF OBSERVATION ANGLES;
+CCC NEEDS ONLY TH, PH, THS; THSLST GT 180 IF NECESSARY;
+CCC ISAM>1 --> SCATTERING PLANE ACROSS THE Z AXIS; SCATTERING
+CCC AS A FUNCTION OF INCIDENCE ANGLES
+CCC FOR A FIXED SCATTERING ANGLE THSCA=THS-TH;
+CCC NEEDS ONLY TH, PH, THS
+CCC
+ OPEN(IR,FILE='DCLU',STATUS='OLD')
+ READ(IR,*)NSPH,LI,LE,MXNDM,INPOL,NPNT,NPNTTS,IAVM,ISAM
+ DO 101 I=1,NSPH
+ 101 READ(IR,*)RXX(I),RYY(I),RZZ(I)
+ READ(IR,*)TH,THSTP,THLST,THS,THSSTP,THSLST
+ READ(IR,*)PH,PHSTP,PHLST,PHS,PHSSTP,PHSLST
+ READ(IR,*)JWTM
+ CLOSE(IR)
+ OPEN(IW,FILE='OCLU',STATUS='UNKNOWN')
+ WRITE(IW,8015)
+ WRITE(IW,8010)NSPH,LI,LE,MXNDM,INPOL,NPNT,NPNTTS,IAVM,ISAM
+ WRITE(IW,8060)
+ WRITE(IW,8050)(RXX(I),RYY(I),RZZ(I),I=1,NSPH)
+ WRITE(IW,8068)
+ WRITE(IW,8170)TH,THSTP,THLST,THS,THSSTP,THSLST
+ WRITE(IW,8069)
+ WRITE(IW,8170)PH,PHSTP,PHLST,PHS,PHSSTP,PHSLST
+ WRITE(IW,8171)
+ WRITE(IW,8010)JWTM
+ OPEN(ITIN,FILE='TEDF',FORM='UNFORMATTED',STATUS='OLD')
+ READ(ITIN)NSPHT
+ IF(NSPHT.NE.NSPH)GO TO 497
+ READ(ITIN)(IOG(I),I=1,NSPH)
+ READ(ITIN)EXDC,WP,XIP,IDFC,NXI
+ READ(ITIN)(XIV(I),I=1,NXI)
+ DO 103 I=1,NSPH
+ IF(IOG(I).LT.I)GO TO 103
+ READ(ITIN)NSHL(I),ROS(I)
+ NSH=NSHL(I)
+ READ(ITIN)(RCF(I,NS),NS=1,NSH)
+ 103 CONTINUE
+ WRITE(IW,*)' READ(ITIN)NSPHT'
+ WRITE(IW,*)' READ(ITIN)(IOG(I),I=1,NSPH)'
+ WRITE(IW,*)' READ(ITIN)EXDC,WP,XIP,IDFC,NXI'
+ WRITE(IW,*)' READ(ITIN)(XIV(I),I=1,NXI)'
+ WRITE(IW,*)' READ(ITIN)NSHL(I),ROS(I)'
+ WRITE(IW,*)' READ(ITIN)(RCF(I,NS),NS=1,NSH)'
+ WRITE(IW,6000)
+ C0=0.0D0
+ SML=1.0D-3
+ IF(THSTP.EQ.C0)NTH=0
+ IF(THSTP.NE.C0)NTH=IDINT((THLST-TH)/THSTP+SML)
+ NTH=NTH+1
+ IF(PHSTP.EQ.C0)NPH=0
+ IF(PHSTP.NE.C0)NPH=IDINT((PHLST-PH)/PHSTP+SML)
+ NPH=NPH+1
+ IF(ISAM.LE.1)GO TO 110
+ NTHS=1
+ THSCA=THS-TH
+ GO TO 111
+ 110 IF(THSSTP.EQ.C0)NTHS=0
+ IF(THSSTP.NE.C0)NTHS=IDINT((THSLST-THS)/THSSTP+SML)
+ NTHS=NTHS+1
+ IF(ISAM.LT.1)GO TO 112
+ 111 NPHS=1
+ GO TO 113
+ 112 IF(PHSSTP.EQ.C0)NPHS=0
+ IF(PHSSTP.NE.C0)NPHS=IDINT((PHSLST-PHS)/PHSSTP+SML)
+ NPHS=NPHS+1
+ 113 NK=NTH*NPH
+ NKS=NTHS*NPHS
+ NKKS=NK*NKS
+ TH1=TH
+ PH1=PH
+ THS1=THS
+ PHS1=PHS
+ CALL STR(RCF)
+ LM=MAX0(LI,LE)
+ CALL THDPS(LM,ZPV)
+ EXRI=DSQRT(EXDC)
+ WRITE(IW,6710)EXRI
+ OPEN(IT,FILE='TPPOAN',FORM='UNFORMATTED',STATUS='UNKNOWN')
+ WRITE(IT)IAVM,ISAM,INPOL
+ WRITE(IT)NXI,NTH,NPH,NTHS,NPHS
+
+C
+ NLEMT=NLEM+NLEM
+C
+
+ WN=WP/3.0D08
+ SQSFI=1.0D0
+ IF(IDFC.GE.0)GO TO 118
+ VK=XIP*WN
+ WRITE(IW,6714)VK
+ WRITE(IW,6000)
+ 118 DO 488 JXI=1,NXI
+ JAW=1
+ WRITE(IW,6991)JXI
+ XI=XIV(JXI)
+ IF(IDFC.LT.0)GO TO 119
+ VK=XI*WN
+ VKARG=VK
+ WRITE(IW,6715)VK,XI
+ GO TO 120
+ 119 VKARG=XI*VK
+ SQSFI=1.0D0/(XI*XI)
+ WRITE(IW,6716)XI
+ 120 CALL HJV(EXRI,VKARG,JER,LCALC,ARG)
+ IF(JER.EQ.0)GO TO 122
+ WRITE(IW,6650)
+ GO TO 490
+ 122 DO 132 I=1,NSPH
+ IOGI=IOG(I)
+ IF(IOGI.EQ.I)GO TO 125
+ DO 123 L=1,LI
+ RMI(L,I)=RMI(L,IOGI)
+ 123 REI(L,I)=REI(L,IOGI)
+ GO TO 132
+ 125 NSH=NSHL(I)
+ ICI=(NSH+1)/2
+ IF(IDFC.NE.0)GO TO 127
+ READ(ITIN)(DC0(IC),IC=1,ICI)
+ GO TO 130
+ 127 IF(JXI.EQ.1)READ(ITIN)(DC0M(I,IC),IC=1,ICI)
+ DO 128 IC=1,ICI
+ 128 DC0(IC)=DC0M(I,IC)
+ 130 IF(MOD(NSH,2).EQ.0)DC0(ICI+1)=EXDC
+ CALL DME(LI,I,NPNT,NPNTTS,VKARG,EXDC,EXRI,JER,LCALC,ARG)
+ IF(JER.EQ.0)GO TO 132
+ WRITE(IW,6750)
+ GO TO 490
+ 132 CONTINUE
+ CALL CMS(AM)
+ NDIT=2*NSPH*NLIM
+ CALL LUCIN(AM,MXNDM,NDIT,JER)
+ IF(JER.EQ.1)GO TO 495
+ CALL ZTM(AM)
+
+C
+ IF(IDFC.LT.0)GO TO 156
+ IF(JXI.NE.JWTM)GO TO 156
+ IS=1
+ ITS=8
+ OPEN(ITS,FILE='TTMS',FORM='UNFORMATTED',STATUS='UNKNOWN')
+ WRITE(ITS)IS,LM
+ WRITE(ITS)VK,EXRI
+ WRITE(ITS)((AM0M(I,J),J=1,NLEMT),I=1,NLEMT)
+ CLOSE(ITS)
+ 156 CONTINUE
+C
+
+ IF(INPOL.NE.0)GO TO 158
+ WRITE(IW,6066)
+ GO TO 160
+ 158 WRITE(IW,6061)
+ 160 CS0=0.25D0*VK*VK*VK/DACOS(C0)
+ CALL SCR0(VK,EXRI)
+ SQK=VK*VK*EXDC
+ CALL APS(ZPV,LI,NSPH,IOG,RMI,REI,SQK,GAPS)
+ CALL RABAS(INPOL,LI,NSPH,IOG,RMI,REI,TQSE,TQSPE,TQSS,TQSPS)
+ IF(LI.NE.LE)WRITE(IW,6068)
+ DO 170 I=1,NSPH
+ IF(IOG(I).LT.I)GO TO 170
+ ALBEDS=SSCS(I)/SEXS(I)
+ SQSCS(I)=SQSCS(I)*SQSFI
+ SQABS(I)=SQABS(I)*SQSFI
+ SQEXS(I)=SQEXS(I)*SQSFI
+ WRITE(IW,6070)I
+ IF(NSHL(I).EQ.1)GO TO 162
+ WRITE(IW,6055)VSZ(I)
+ GO TO 164
+ 162 WRITE(IW,6050)VSZ(I),VKT(I)
+ 164 WRITE(IW,6100)
+ WRITE(IW,6150)SSCS(I),SABS(I),SEXS(I),ALBEDS
+ WRITE(IW,6200)
+ WRITE(IW,6150)SQSCS(I),SQABS(I),SQEXS(I)
+ WRITE(IW,6240)FSAS(I)
+ CSCH=2.0D0*VK*SQSFI/GCSV(I)
+ S0=FSAS(I)*EXRI
+ QSCHU=DIMAG(S0)*CSCH
+ PSCHU=DREAL(S0)*CSCH
+ S0MAG=CDABS(S0)*CS0
+ WRITE(IW,6930)QSCHU,PSCHU,S0MAG
+ RAPR=SEXS(I)-GAPS(I)
+ COSAV=GAPS(I)/SSCS(I)
+ WRITE(IW,6970)COSAV,RAPR
+ WRITE(IW,6977)1,TQSE(1,I),TQSS(1,I)
+ WRITE(IW,6977)2,TQSE(2,I),TQSS(2,I)
+ 170 CONTINUE
+ WRITE(IW,6250)TFSAS
+ CSCH=2.0D0*VK*SQSFI/GCS
+ S0=TFSAS*EXRI
+ QSCHU=DIMAG(S0)*CSCH
+ PSCHU=DREAL(S0)*CSCH
+ S0MAG=CDABS(S0)*CS0
+ WRITE(IW,6930)QSCHU,PSCHU,S0MAG
+ WRITE(IT)VK
+ CALL PCRSM0(VK,EXRI,INPOL)
+ CALL APCRA(ZPV,LE,AM0M,INPOL,SQK,GAPM,GAPPM)
+ TH=TH1
+ DO 486 JTH=1,NTH
+ PH=PH1
+ DO 484 JPH=1,NPH
+ IF((NK.EQ.1).AND.(JXI.GT.1))GO TO 180
+ CALL UPVMP(TH,PH,0,COST,SINT,COSP,SINP,U,UPMP,UNMP)
+ IF(ISAM.LT.0)GO TO 184
+ CALL WMAMP
+ 1(0,COST,SINT,COSP,SINP,INPOL,LE,0,NSPH,ARGI,U,UPMP,UNMP)
+ GO TO 182
+ 180 IF(ISAM.LT.0)GO TO 184
+ 182 CALL APC(ZPV,LE,AM0M,W,SQK,GAP,GAPP)
+ CALL RABA(LE,AM0M,W,TQCE,TQCPE,TQCS,TQCPS)
+ JW=1
+ 184 THSL=THS1
+ DO 482 JTHS=1,NTHS
+ THS=THSL
+ ICSPNV=0
+ IF(ISAM.GT.1)THS=TH+THSCA
+ IF(ISAM.LT.1)GO TO 186
+ PHSPH=C0
+ IF((THS.LT.C0).OR.(THS.GT.180.0D0))PHSPH=180.0D0
+ IF(THS.LT.C0)THS=-THS
+ IF(THS.GT.180.0D0)THS=360.0D0-THS
+ IF(PHSPH.NE.C0)ICSPNV=1
+ 186 PHS=PHS1
+ DO 480 JPHS=1,NPHS
+ IF(ISAM.LT.1)GO TO 188
+ PHS=PH+PHSPH
+ IF(PHS.GE.360.0D0)PHS=PHS-360.0D0
+ 188 IF((NKS.EQ.1).AND.((JXI.GT.1).OR.(JTH.GT.1).OR.(JPH.GT.1)))
+ 1GO TO 190
+ CALL UPVMP(THS,PHS,ICSPNV,COSTS,SINTS,COSPS,SINPS,US,UPSMP,UNSMP)
+ IF(ISAM.GE.0)CALL WMAMP
+ 1(2,COSTS,SINTS,COSPS,SINPS,INPOL,LE,0,NSPH,ARGS,US,UPSMP,UNSMP)
+ 190 IF((NKKS.EQ.1).AND.(JXI.GT.1))GO TO 194
+ CALL UPVSP(U,UPMP,UNMP,US,UPSMP,UNSMP,UP,UN,UPS,UNS,DUK,
+ 1ISQ,IBF,SCAN,CFMP,SFMP,CFSP,SFSP)
+ IF(ISAM.GE.0)GO TO 192
+ CALL WMASP(COST,SINT,COSP,SINP,COSTS,SINTS,COSPS,SINPS,
+ 1U,UP,UN,US,UPS,UNS,ISQ,IBF,INPOL,LE,0,NSPH,ARGI,ARGS)
+ GO TO 194
+ 192 DO 193 I=1,3
+ UP(I)=UPMP(I)
+ UN(I)=UNMP(I)
+ UPS(I)=UPSMP(I)
+ 193 UNS(I)=UNSMP(I)
+ 194 IF(IAVM.EQ.1)CALL CRSM1(VK,EXRI)
+ IF(ISAM.GE.0)GO TO 196
+ CALL APC(ZPV,LE,AM0M,W,SQK,GAP,GAPP)
+ CALL RABA(LE,AM0M,W,TQCE,TQCPE,TQCS,TQCPS)
+ JW=1
+ 196 WRITE(IT)TH,PH,THS,PHS
+ WRITE(IT)SCAN
+ IF(JAW.EQ.0)GO TO 212
+ JAW=0
+ CALL MEXTC(VK,EXRI,FSACM,CEXTLR,CEXT)
+ WRITE(IT)((CEXT(I,J),J=1,4),I=1,4)
+ WRITE(IT)(SCSCM(I),SCSCPM(I),ECSCM(I),ECSCPM(I),I=1,2)
+ WRITE(IT)((GAPM(I,J),GAPPM(I,J),J=1,2),I=1,3)
+ WRITE(IW,6460)IAVM
+ JLR=2
+ DO 210 ILR=1,2
+ IPOL=(-1)**ILR
+ IF(ILR.EQ.2)JLR=1
+ EXTSM=ECSCM(ILR)
+ QEXTM=EXTSM*SQSFI/GCS
+ EXTRM=EXTSM/ECS
+ SCASM=SCSCM(ILR)
+ ALBDM=SCASM/EXTSM
+ QSCAM=SCASM*SQSFI/GCS
+ SCARM=SCASM/SCS
+ ABSSM=EXTSM-SCASM
+ QABSM=ABSSM*SQSFI/GCS
+ IF(DABS(ACS/ECS).GT.1.0D-06)GO TO 202
+ ABSRM=1.0D0
+ GO TO 204
+ 202 ABSRM=ABSSM/ACS
+ 204 S0M=FSACM(ILR,ILR)*EXRI
+ QSCHUM=DIMAG(S0M)*CSCH
+ PSCHUM=DREAL(S0M)*CSCH
+ S0MAGM=CDABS(S0M)*CS0
+ RFINRM=DREAL(FSACM(ILR,ILR))/DREAL(TFSAS)
+ EXTCRM=DIMAG(FSACM(ILR,ILR))/DIMAG(TFSAS)
+ IF(INPOL.NE.0)GO TO 206
+ WRITE(IW,6065)IPOL
+ GO TO 208
+ 206 WRITE(IW,6060)IPOL
+ 208 WRITE(IW,6500)
+ WRITE(IW,6150)SCASM,ABSSM,EXTSM,ALBDM
+ alam=2*3.14159265359/VK
+ if(IPOL.EQ.1)write(22,999)alam,SCASM,ABSSM,EXTSM
+ 999 format(4e15.4)
+ WRITE(IW,6600)
+ WRITE(IW,6150)QSCAM,QABSM,QEXTM
+ WRITE(IW,6700)
+ WRITE(IW,6150)SCARM,ABSRM,EXTRM
+ WRITE(IW,6800)ILR,ILR,FSACM(ILR,ILR),JLR,ILR,FSACM(JLR,ILR)
+ WRITE(IW,6850)ILR,ILR,RFINRM,ILR,ILR,EXTCRM
+ WRITE(IW,6930)QSCHUM,PSCHUM,S0MAGM
+ RAPR=ECSCM(ILR)-GAPM(3,ILR)
+ COSAV=GAPM(3,ILR)/SCSCM(ILR)
+ FZ=RAPR
+ WRITE(IW,6970)COSAV,RAPR
+ WRITE(IW,6974)FZ
+ 210 CONTINUE
+ RMBRIF=(DREAL(FSACM(1,1))-DREAL(FSACM(2,2)))/DREAL(FSACM(1,1))
+ RMDCHR=(DIMAG(FSACM(1,1))-DIMAG(FSACM(2,2)))/DIMAG(FSACM(1,1))
+ WRITE(IW,6940)RMBRIF
+ WRITE(IW,6945)RMDCHR
+ 212 WRITE(IW,6992)JTH,JPH,JTHS,JPHS
+ WRITE(IW,6720)TH,PH,THS,PHS
+ WRITE(IW,6740)SCAN
+ WRITE(IW,6721)CFMP,SFMP
+ WRITE(IW,6722)CFSP,SFSP
+ IF(ISAM.LT.0)GO TO 214
+ WRITE(IW,6166)UN(1),UN(2),UN(3)
+ WRITE(IW,6167)UNS(1),UNS(2),UNS(3)
+ GO TO 220
+ 214 WRITE(IW,6165)UN(1),UN(2),UN(3)
+ 220 IF(INPOL.NE.0)GO TO 222
+ WRITE(IW,6066)
+ GO TO 224
+ 222 WRITE(IW,6061)
+ 224 CALL SCR2(VK,VKARG,EXRI,DUK)
+ IF(LI.NE.LE)WRITE(IW,6069)
+ DO 226 I=1,NSPH
+ IF(IOG(I).LT.I)GO TO 226
+ WRITE(IW,6070)I
+ WRITE(IW,6242)SAS(I,1,1),SAS(I,2,1)
+ WRITE(IW,6243)SAS(I,1,2),SAS(I,2,2)
+ DO 225 J=1,16
+ 225 VINT(J)=VINTS(I,J)
+ CALL MMULC(VINT,CMULLR,CMUL)
+ WRITE(IW,6331)
+ WRITE(IW,6350)((CMUL(I1,J),J=1,4),I1=1,4)
+ WRITE(IW,6336)
+ WRITE(IW,6350)((CMULLR(I1,J),J=1,4),I1=1,4)
+ 226 CONTINUE
+ WRITE(IW,6252)TSAS(1,1),TSAS(2,1)
+ WRITE(IW,6253)TSAS(1,2),TSAS(2,2)
+ WRITE(IW,6080)
+ CALL PCROS(VK,EXRI)
+ CALL MEXTC(VK,EXRI,FSAC,CEXTLR,CEXT)
+ CALL MMULC(VINT,CMULLR,CMUL)
+ IF(JW.EQ.0)GO TO 254
+ JW=0
+ WRITE(IT)((CEXT(I,J),J=1,4),I=1,4)
+ WRITE(IT)(SCSC(I),SCSCP(I),ECSC(I),ECSCP(I),I=1,2)
+ WRITE(IT)((GAP(I,J),GAPP(I,J),J=1,2),I=1,3)
+ WRITE(IT)((TQCE(I,J),TQCPE(I,J),J=1,3),I=1,2)
+ WRITE(IT)((TQCS(I,J),TQCPS(I,J),J=1,3),I=1,2)
+ WRITE(IT)(U(I),UP(I),UN(I),I=1,3)
+ 254 WRITE(IT)(VINT(I),I=1,16)
+ WRITE(IT)((CMUL(I,J),J=1,4),I=1,4)
+ JLR=2
+ DO 290 ILR=1,2
+ IPOL=(-1)**ILR
+ IF(ILR.EQ.2)JLR=1
+ EXTSEC=ECSC(ILR)
+ QEXT=EXTSEC*SQSFI/GCS
+ EXTRAT=EXTSEC/ECS
+ SCASEC=SCSC(ILR)
+ ALBEDC=SCASEC/EXTSEC
+ QSCA=SCASEC*SQSFI/GCS
+ SCARAT=SCASEC/SCS
+ ABSSEC=EXTSEC-SCASEC
+ QABS=ABSSEC*SQSFI/GCS
+ IF(DABS(ACS/ECS).GT.1.0D-06)GO TO 260
+ ABSRAT=1.0D0
+ GO TO 262
+ 260 ABSRAT=ABSSEC/ACS
+ 262 S0=FSAC(ILR,ILR)*EXRI
+ QSCHU=DIMAG(S0)*CSCH
+ PSCHU=DREAL(S0)*CSCH
+ S0MAG=CDABS(S0)*CS0
+ REFINR=DREAL(FSAC(ILR,ILR))/DREAL(TFSAS)
+ EXTCOR=DIMAG(FSAC(ILR,ILR))/DIMAG(TFSAS)
+ IF(INPOL.NE.0)GO TO 273
+ WRITE(IW,6065)IPOL
+ GO TO 275
+ 273 WRITE(IW,6060)IPOL
+ 275 WRITE(IW,6500)
+ WRITE(IW,6150)SCASEC,ABSSEC,EXTSEC,ALBEDC
+ if(ILR.EQ.1)write(31,999)alam,SCASEC,ABSSEC,EXTSEC
+ if(ILR.EQ.2)write(32,999)alam,SCASEC,ABSSEC,EXTSEC
+ WRITE(IW,6600)
+ WRITE(IW,6150)QSCA,QABS,QEXT
+ WRITE(IW,6700)
+ WRITE(IW,6150)SCARAT,ABSRAT,EXTRAT
+ WRITE(IW,6800)ILR,ILR,FSAC(ILR,ILR),JLR,ILR,FSAC(JLR,ILR)
+ WRITE(IW,6810)ILR,ILR,SAC(ILR,ILR),JLR,ILR,SAC(JLR,ILR)
+ WRITE(IW,6850)ILR,ILR,REFINR,ILR,ILR,EXTCOR
+ WRITE(IW,6930)QSCHU,PSCHU,S0MAG
+ IF((ISAM.GE.0).AND.((JTHS.GT.1).OR.(JPHS.GT.1)))GO TO 290
+ GAPV(1)=GAP(1,ILR)
+ GAPV(2)=GAP(2,ILR)
+ GAPV(3)=GAP(3,ILR)
+ EXTINS=ECSC(ILR)
+ SCATTS=SCSC(ILR)
+ CALL RFTR
+ 1(U,UP,UN,GAPV,EXTINS,SCATTS,RAPR,COSAV,FP,FN,FK,FX,FY,FZ)
+ WRITE(IW,6970)COSAV,RAPR
+ WRITE(IW,6973)FP,FN,FK
+ WRITE(IW,6971)FX,FY,FZ
+ TQEV(1)=TQCE(ILR,1)
+ TQEV(2)=TQCE(ILR,2)
+ TQEV(3)=TQCE(ILR,3)
+ TQSV(1)=TQCS(ILR,1)
+ TQSV(2)=TQCS(ILR,2)
+ TQSV(3)=TQCS(ILR,3)
+ CALL TQR(U,UP,UN,TQEV,TQSV,TEP,TEN,TEK,TSP,TSN,TSK)
+ WRITE(IW,6983)TEP,TEN,TEK
+ WRITE(IW,6984)TSP,TSN,TSK
+ WRITE(IW,6981)TQCE(ILR,1),TQCE(ILR,2),TQCE(ILR,3)
+ WRITE(IW,6982)TQCS(ILR,1),TQCS(ILR,2),TQCS(ILR,3)
+ 290 CONTINUE
+ RBIRIF=(DREAL(FSAC(1,1))-DREAL(FSAC(2,2)))/DREAL(FSAC(1,1))
+ RDICHR=(DIMAG(FSAC(1,1))-DIMAG(FSAC(2,2)))/DIMAG(FSAC(1,1))
+ WRITE(IW,6940)RBIRIF
+ WRITE(IW,6945)RDICHR
+ WRITE(IW,6332)
+ WRITE(IW,6350)((CMUL(I,J),J=1,4),I=1,4)
+ WRITE(IW,6337)
+ WRITE(IW,6350)((CMULLR(I,J),J=1,4),I=1,4)
+ IF(IAVM.EQ.0)GO TO 420
+ CALL MMULC(VINTM,CMULLR,CMUL)
+ WRITE(IT)(VINTM(I),I=1,16)
+ WRITE(IT)((CMUL(I,J),J=1,4),I=1,4)
+ WRITE(IW,6460)IAVM
+ IF(INPOL.NE.0)GO TO 316
+ WRITE(IW,6066)
+ GO TO 318
+ 316 WRITE(IW,6061)
+ 318 WRITE(IW,6332)
+ WRITE(IW,6350)((CMUL(I,J),J=1,4),I=1,4)
+ WRITE(IW,6337)
+ WRITE(IW,6350)((CMULLR(I,J),J=1,4),I=1,4)
+ 420 CONTINUE
+ 480 IF(ISAM.LT.1)PHS=PHS+PHSSTP
+ 482 IF(ISAM.LE.1)THSL=THSL+THSSTP
+ 484 PH=PH+PHSTP
+ 486 TH=TH+THSTP
+ 488 CONTINUE
+ GO TO 500
+ 490 WRITE(IW,6550)JER,LCALC,ARG
+ GO TO 500
+ 495 WRITE(IW,6300)
+ GO TO 500
+ 497 WRITE(IW,*)' WRONG INPUT TAPE'
+ 500 CONTINUE
+ CLOSE(IW)
+ CLOSE(IT)
+ CLOSE(ITIN)
+ STOP
+ END
+ SUBROUTINE RABAS(INPOL,LI,NSPH,IOG,RMI,REI,TQSE,TQSPE,TQSS,TQSPS)
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC DIMENSION IOG(NSPH),RMI(LI,NSPH),REI(LI,NSPH),
+CCC 1TQSE(2,NSPH),TQSPE(2,NSPH),TQSS(2,NSPH),TQSPS(2,NSPH)
+ DIMENSION IOG(8),RMI(23,8),REI(23,8),
+ 1TQSE(2,8),TQSPE(2,8),TQSS(2,8),TQSPS(2,8)
+ COMPLEX*16 RMI,REI,TQSPE,TQSPS
+ COMPLEX*16 CC0,UIM,RM,RE,PCE,PCS
+ C0=0.0D0
+ PIG2=DACOS(C0)*4.0D0
+ CC0=(0.0D0,0.0D0)
+ UIM=(0.0D0,1.0D0)
+ DO 80 I=1,NSPH
+ IF(IOG(I).LT.I)GO TO 80
+ TQSE(1,I)=C0
+ TQSE(2,I)=C0
+ TQSPE(1,I)=CC0
+ TQSPE(2,I)=CC0
+ TQSS(1,I)=C0
+ TQSS(2,I)=C0
+ TQSPS(1,I)=CC0
+ TQSPS(2,I)=CC0
+ DO 70 L=1,LI
+ FL=L+L+1
+ RM=1.0D0/RMI(L,I)
+ RMM=DREAL(RM*DCONJG(RM))
+ RE=1.0D0/REI(L,I)
+ REM=DREAL(RE*DCONJG(RE))
+ IF(INPOL.NE.0)GO TO 40
+ PCE=((RM+RE)*UIM)*FL
+ PCS=((RMM+REM)*FL)*UIM
+ TQSPE(1,I)=TQSPE(1,I)-PCE
+ TQSPE(2,I)=TQSPE(2,I)+PCE
+ TQSPS(1,I)=TQSPS(1,I)-PCS
+ TQSPS(2,I)=TQSPS(2,I)+PCS
+ GO TO 70
+ 40 CE=DREAL(RM+RE)*FL
+ CS=(RMM+REM)*FL
+ TQSE(1,I)=TQSE(1,I)-CE
+ TQSE(2,I)=TQSE(2,I)+CE
+ TQSS(1,I)=TQSS(1,I)-CS
+ TQSS(2,I)=TQSS(2,I)+CS
+ 70 CONTINUE
+ IF(INPOL.NE.0)GO TO 75
+ TQSPE(1,I)=TQSPE(1,I)*PIG2
+ TQSPE(2,I)=TQSPE(2,I)*PIG2
+ TQSPS(1,I)=TQSPS(1,I)*PIG2
+ TQSPS(2,I)=TQSPS(2,I)*PIG2
+ GO TO 80
+ 75 TQSE(1,I)=TQSE(1,I)*PIG2
+ TQSE(2,I)=TQSE(2,I)*PIG2
+ TQSS(1,I)=TQSS(1,I)*PIG2
+ TQSS(2,I)=TQSS(2,I)*PIG2
+ 80 CONTINUE
+ RETURN
+ END
+ SUBROUTINE TQR(U,UP,UN,TQEV,TQSV,TEP,TEN,TEK,TSP,TSN,TSK)
+ IMPLICIT REAL*8(A-H,O-Z)
+ DIMENSION U(3),UP(3),UN(3),TQEV(3),TQSV(3)
+ TEP=UP(1)*TQEV(1)+UP(2)*TQEV(2)+UP(3)*TQEV(3)
+ TEN=UN(1)*TQEV(1)+UN(2)*TQEV(2)+UN(3)*TQEV(3)
+ TEK=U(1)*TQEV(1)+U(2)*TQEV(2)+U(3)*TQEV(3)
+ TSP=UP(1)*TQSV(1)+UP(2)*TQSV(2)+UP(3)*TQSV(3)
+ TSN=UN(1)*TQSV(1)+UN(2)*TQSV(2)+UN(3)*TQSV(3)
+ TSK=U(1)*TQSV(1)+U(2)*TQSV(2)+U(3)*TQSV(3)
+ RETURN
+ END
+ SUBROUTINE RABA(LE,AM0M,W,TQCE,TQCPE,TQCS,TQCPS)
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC DIMENSION AM0M(NLEMT,NLEMT),W(NLEMT,4)
+ DIMENSION AM0M(1150,1150),W(1150,4),
+ 1TQCE(2,3),TQCPE(2,3),TQCS(2,3),TQCPS(2,3)
+ COMPLEX*16 AM0M,W,TQCPE,TQCPS
+CCC DIMENSION A(NLEMT,2)
+ DIMENSION A(1150,2),CTQCE(2,3),CTQCS(2,3)
+ COMPLEX*16 A,CTQCE,CTQCS
+ COMPLEX*16 CC0,UIM,ACW,ACWP,ACA,ACAP,C1,C2,C3
+ CC0=(0.0D0,0.0D0)
+ UIM=(0.0D0,1.0D0)
+ SQ2I=1.0D0/DSQRT(2.0D0)
+ NLEM=LE*(LE+2)
+ NLEMT=NLEM+NLEM
+ DO 20 I=1,NLEMT
+ C1=CC0
+ C2=CC0
+ DO 10 J=1,NLEMT
+ C1=C1+AM0M(I,J)*W(J,1)
+ C2=C2+AM0M(I,J)*W(J,2)
+ 10 CONTINUE
+ A(I,1)=C1
+ A(I,2)=C2
+ 20 CONTINUE
+ JPO=2
+ DO 70 IPO=1,2
+ IF(IPO.EQ.2)JPO=1
+ CTQCE(IPO,1)=CC0
+ CTQCE(IPO,2)=CC0
+ CTQCE(IPO,3)=CC0
+ TQCPE(IPO,1)=CC0
+ TQCPE(IPO,2)=CC0
+ TQCPE(IPO,3)=CC0
+ CTQCS(IPO,1)=CC0
+ CTQCS(IPO,2)=CC0
+ CTQCS(IPO,3)=CC0
+ TQCPS(IPO,1)=CC0
+ TQCPS(IPO,2)=CC0
+ TQCPS(IPO,3)=CC0
+ DO 60 L=1,LE
+ LPO=L+1
+ IL=L*LPO
+ LTPO=L+LPO
+ DO 60 IM=1,LTPO
+ M=IM-LPO
+ I=M+IL
+ IE=I+NLEM
+ MMMU=M+1
+ MMMMU=IABS(MMMU)
+ IF(MMMMU.GT.L)GO TO 30
+ IMMU=MMMU+IL
+ IMMUE=IMMU+NLEM
+ RMU=(L+MMMU)*(L-M)
+ RMU=-DSQRT(RMU)*SQ2I
+ ACW=DCONJG(A(I,IPO))*W(IMMU,IPO)+DCONJG(A(IE,IPO))*W(IMMUE,IPO)
+ ACWP=DCONJG(A(I,IPO))*W(IMMU,JPO)+DCONJG(A(IE,IPO))*W(IMMUE,JPO)
+ ACA=DCONJG(A(I,IPO))*A(IMMU,IPO)+DCONJG(A(IE,IPO))*A(IMMUE,IPO)
+ ACAP=DCONJG(A(I,IPO))*A(IMMU,JPO)+DCONJG(A(IE,IPO))*A(IMMUE,JPO)
+ CTQCE(IPO,1)=CTQCE(IPO,1)+ACW*RMU
+ TQCPE(IPO,1)=TQCPE(IPO,1)+ACWP*RMU
+ CTQCS(IPO,1)=CTQCS(IPO,1)+ACA*RMU
+ TQCPS(IPO,1)=TQCPS(IPO,1)+ACAP*RMU
+ 30 RMU=-M
+ ACW=DCONJG(A(I,IPO))*W(I,IPO)+DCONJG(A(IE,IPO))*W(IE,IPO)
+ ACWP=DCONJG(A(I,IPO))*W(I,JPO)+DCONJG(A(IE,IPO))*W(IE,JPO)
+ ACA=DCONJG(A(I,IPO))*A(I,IPO)+DCONJG(A(IE,IPO))*A(IE,IPO)
+ ACAP=DCONJG(A(I,IPO))*A(I,JPO)+DCONJG(A(IE,IPO))*A(IE,JPO)
+ CTQCE(IPO,2)=CTQCE(IPO,2)+ACW*RMU
+ TQCPE(IPO,2)=TQCPE(IPO,2)+ACWP*RMU
+ CTQCS(IPO,2)=CTQCS(IPO,2)+ACA*RMU
+ TQCPS(IPO,2)=TQCPS(IPO,2)+ACAP*RMU
+ MMMU=M-1
+ MMMMU=IABS(MMMU)
+ IF(MMMMU.GT.L)GO TO 50
+ IMMU=MMMU+IL
+ IMMUE=IMMU+NLEM
+ RMU=(L-MMMU)*(L+M)
+ RMU=DSQRT(RMU)*SQ2I
+ ACW=DCONJG(A(I,IPO))*W(IMMU,IPO)+DCONJG(A(IE,IPO))*W(IMMUE,IPO)
+ ACWP=DCONJG(A(I,IPO))*W(IMMU,JPO)+DCONJG(A(IE,IPO))*W(IMMUE,JPO)
+ ACA=DCONJG(A(I,IPO))*A(IMMU,IPO)+DCONJG(A(IE,IPO))*A(IMMUE,IPO)
+ ACAP=DCONJG(A(I,IPO))*A(IMMU,JPO)+DCONJG(A(IE,IPO))*A(IMMUE,JPO)
+ CTQCE(IPO,3)=CTQCE(IPO,3)+ACW*RMU
+ TQCPE(IPO,3)=TQCPE(IPO,3)+ACWP*RMU
+ CTQCS(IPO,3)=CTQCS(IPO,3)+ACA*RMU
+ TQCPS(IPO,3)=TQCPS(IPO,3)+ACAP*RMU
+ 50 CONTINUE
+ 60 CONTINUE
+ 70 CONTINUE
+ DO 78 IPO=1,2
+ TQCE(IPO,1)=DREAL(CTQCE(IPO,1)-CTQCE(IPO,3))*SQ2I
+ TQCE(IPO,2)=DREAL((CTQCE(IPO,1)+CTQCE(IPO,3))*UIM)*SQ2I
+ TQCE(IPO,3)=DREAL(CTQCE(IPO,2))
+ C1=TQCPE(IPO,1)
+ C2=TQCPE(IPO,2)
+ C3=TQCPE(IPO,3)
+ TQCPE(IPO,1)=(C1-C3)*SQ2I
+ TQCPE(IPO,2)=(C1+C3)*(UIM*SQ2I)
+ TQCPE(IPO,3)=C2
+ TQCS(IPO,1)=-DREAL(CTQCS(IPO,1)-CTQCS(IPO,3))*SQ2I
+ TQCS(IPO,2)=-DREAL((CTQCS(IPO,1)+CTQCS(IPO,3))*UIM)*SQ2I
+ TQCS(IPO,3)=-DREAL(CTQCS(IPO,2))
+ C1=TQCPS(IPO,1)
+ C2=TQCPS(IPO,2)
+ C3=TQCPS(IPO,3)
+ TQCPS(IPO,1)=-(C1-C3)*SQ2I
+ TQCPS(IPO,2)=-(C1+C3)*(UIM*SQ2I)
+ TQCPS(IPO,3)=-C2
+ 78 CONTINUE
+ RETURN
+ END
+ SUBROUTINE RFTR
+ 1(U,UP,UN,GAPV,EXTINS,SCATTS,RAPR,COSAV,FP,FN,FK,FX,FY,FZ)
+ IMPLICIT REAL*8(A-H,O-Z)
+ DIMENSION U(3),UP(3),UN(3),GAPV(3)
+ FK=U(1)*GAPV(1)+U(2)*GAPV(2)+U(3)*GAPV(3)
+ RAPR=EXTINS-FK
+ COSAV=FK/SCATTS
+ FP=-(UP(1)*GAPV(1)+UP(2)*GAPV(2)+UP(3)*GAPV(3))
+ FN=-(UN(1)*GAPV(1)+UN(2)*GAPV(2)+UN(3)*GAPV(3))
+ FK=RAPR
+ FX=U(1)*EXTINS-GAPV(1)
+ FY=U(2)*EXTINS-GAPV(2)
+ FZ=U(3)*EXTINS-GAPV(3)
+ RETURN
+ END
+ SUBROUTINE MEXTC(VK,EXRI,FSAC,CEXTLR,CEXT)
+ IMPLICIT REAL*8(A-H,O-Z)
+ DIMENSION FSAC(2,2),CEXTLR(4,4),CEXT(4,4)
+ COMPLEX*16 FSAC
+ FA11R=DREAL(FSAC(1,1))
+ FA11I=DIMAG(FSAC(1,1))
+ FA21R=DREAL(FSAC(2,1))
+ FA21I=DIMAG(FSAC(2,1))
+ FA12R=DREAL(FSAC(1,2))
+ FA12I=DIMAG(FSAC(1,2))
+ FA22R=DREAL(FSAC(2,2))
+ FA22I=DIMAG(FSAC(2,2))
+ CEXTLR(1,1)=FA11I*2.0D0
+ CEXTLR(1,2)=0.0D0
+ CEXTLR(1,3)=-FA12I
+ CEXTLR(1,4)=-FA12R
+ CEXTLR(2,1)=0.0D0
+ CEXTLR(2,2)=FA22I*2.0D0
+ CEXTLR(2,3)=-FA21I
+ CEXTLR(2,4)=FA21R
+ CEXTLR(3,1)=-FA21I*2.0D0
+ CEXTLR(3,2)=-FA12I*2.0D0
+ CEXTLR(3,3)=FA11I+FA22I
+ CEXTLR(3,4)=FA22R-FA11R
+ CEXTLR(4,1)=FA21R*2.0D0
+ CEXTLR(4,2)=-FA12R*2.0D0
+ CEXTLR(4,3)=FA11R-FA22R
+ CEXTLR(4,4)=CEXTLR(3,3)
+ CEXT(1,1)=CEXTLR(4,4)
+ CEXT(2,2)=CEXTLR(4,4)
+ CEXT(3,3)=CEXTLR(4,4)
+ CEXT(3,4)=CEXTLR(3,4)
+ CEXT(4,3)=CEXTLR(4,3)
+ CEXT(4,4)=CEXTLR(4,4)
+ CEXT(1,2)=FA11I-FA22I
+ CEXT(1,3)=-FA12I-FA21I
+ CEXT(1,4)=FA21R-FA12R
+ CEXT(2,1)=CEXT(1,2)
+ CEXT(2,3)=FA21I-FA12I
+ CEXT(4,2)=FA12R+FA21R
+ CEXT(2,4)=-CEXT(4,2)
+ CEXT(3,1)=CEXT(1,3)
+ CEXT(3,2)=-CEXT(2,3)
+ CEXT(4,1)=CEXT(1,4)
+ CKM=VK/EXRI
+ DO 10 I=1,4
+ DO 10 J=1,4
+ CEXTLR(I,J)=CEXTLR(I,J)*CKM
+ 10 CEXT(I,J)=CEXT(I,J)*CKM
+ RETURN
+ END
+ SUBROUTINE MMULC(VINT,CMULLR,CMUL)
+ IMPLICIT REAL*8(A-H,O-Z)
+ DIMENSION VINT(16),CMULLR(4,4),CMUL(4,4)
+ COMPLEX*16 VINT
+ SM2=DREAL(VINT(1))
+ S24=DREAL(VINT(2))
+ D24=DIMAG(VINT(2))
+ SM4=DREAL(VINT(6))
+ S23=DREAL(VINT(9))
+ D32=DIMAG(VINT(9))
+ S34=DREAL(VINT(10))
+ D34=DIMAG(VINT(10))
+ SM3=DREAL(VINT(11))
+ S31=DREAL(VINT(12))
+ D31=DIMAG(VINT(12))
+ S21=DREAL(VINT(13))
+ D12=DIMAG(VINT(13))
+ S41=DREAL(VINT(14))
+ D14=DIMAG(VINT(14))
+ SM1=DREAL(VINT(16))
+ CMULLR(1,1)=SM2
+ CMULLR(1,2)=SM3
+ CMULLR(1,3)=-S23
+ CMULLR(1,4)=-D32
+ CMULLR(2,1)=SM4
+ CMULLR(2,2)=SM1
+ CMULLR(2,3)=-S41
+ CMULLR(2,4)=-D14
+ CMULLR(3,1)=-S24*2.0D0
+ CMULLR(3,2)=-S31*2.0D0
+ CMULLR(3,3)=S21+S34
+ CMULLR(3,4)=D34+D12
+ CMULLR(4,1)=-D24*2.0D0
+ CMULLR(4,2)=-D31*2.0D0
+ CMULLR(4,3)=D34-D12
+ CMULLR(4,4)=S21-S34
+ CMUL(1,1)=(SM2+SM3+SM4+SM1)*0.5D0
+ CMUL(1,2)=(SM2-SM3+SM4-SM1)*0.5D0
+ CMUL(1,3)=-S23-S41
+ CMUL(1,4)=-D32-D14
+ CMUL(2,1)=(SM2+SM3-SM4-SM1)*0.5D0
+ CMUL(2,2)=(SM2-SM3-SM4+SM1)*0.5D0
+ CMUL(2,3)=-S23+S41
+ CMUL(2,4)=-D32+D14
+ CMUL(3,1)=-S24-S31
+ CMUL(3,2)=-S24+S31
+ CMUL(3,3)=S21+S34
+ CMUL(3,4)=D34+D12
+ CMUL(4,1)=-D24-D31
+ CMUL(4,2)=-D24+D31
+ CMUL(4,3)=D34-D12
+ CMUL(4,4)=S21-S34
+ RETURN
+ END
+ SUBROUTINE SCR0(VK,EXRI)
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ COMMON/C3/TFSAS,TSAS(2,2),GCS,SCS,ECS,ACS
+ COMPLEX*16 TFSAS,TSAS
+ COMMON/C4/LITPO,LITPOS,LMTPO,LMTPOS,LI,NLIM,LE,NLEM,NSPH
+ COMPLEX*16 SUM21,RM,RE,CC0,CSAM
+ CC0=(0.0D0,0.0D0)
+ C0=0.0D0
+ EXDC=EXRI*EXRI
+ CCS=4.0D0*DACOS(C0)/(VK*VK)
+ CCCS=CCS/EXDC
+ CSAM=-(CCS/(EXRI*VK))*(0.0D0,0.5D0)
+ SCS=C0
+ ECS=C0
+ ACS=C0
+ TFSAS=CC0
+ DO 14 I=1,NSPH
+ IOGI=IOG(I)
+ IF(IOGI.LT.I)GO TO 12
+ SUMS=C0
+ SUM21=CC0
+ DO 10 L=1,LI
+ FL=L+L+1
+ RM=1.0D0/RMI(L,I)
+ RE=1.0D0/REI(L,I)
+ SUMS=SUMS+DREAL(DCONJG(RM)*RM+DCONJG(RE)*RE)*FL
+ 10 SUM21=SUM21+(RM+RE)*FL
+ SUM21=-SUM21
+ SCASEC=CCCS*SUMS
+ EXTSEC=-CCCS*DREAL(SUM21)
+ ABSSEC=EXTSEC-SCASEC
+ SSCS(I)=SCASEC
+ SEXS(I)=EXTSEC
+ SABS(I)=ABSSEC
+ GCSS=GCSV(I)
+ SQSCS(I)=SCASEC/GCSS
+ SQEXS(I)=EXTSEC/GCSS
+ SQABS(I)=ABSSEC/GCSS
+ FSAS(I)=SUM21*CSAM
+ 12 SCS=SCS+SSCS(IOGI)
+ ECS=ECS+SEXS(IOGI)
+ ACS=ACS+SABS(IOGI)
+ 14 TFSAS=TFSAS+FSAS(IOGI)
+ RETURN
+ END
+ SUBROUTINE SCR2(VK,VKARG,EXRI,DUK)
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ COMMON/C3/TFSAS,TSAS(2,2),GCS,SCS,ECS,ACS
+ COMPLEX*16 TFSAS,TSAS
+ COMMON/C4/LITPO,LITPOS,LMTPO,LMTPOS,LI,NLIM,LE,NLEM,NSPH
+ DIMENSION DUK(3)
+ COMPLEX*16 S11,S21,S12,S22,RM,RE,CC0,CSAM,CPH,PHAS,CC
+ CC0=(0.0D0,0.0D0)
+ C0=0.0D0
+ CCS=1.0D0/(VK*VK)
+ CSAM=-(CCS/(EXRI*VK))*(0.0D0,0.5D0)
+ PIGFSQ=6.4D+1*DACOS(C0)**2
+ CFSQ=4.0D0/(PIGFSQ*CCS*CCS)
+ CPH=(0.0D0,1.0D0)*(EXRI*VKARG)
+ LS=MIN0(LI,LE)
+ TSAS(1,1)=CC0
+ TSAS(2,1)=CC0
+ TSAS(1,2)=CC0
+ TSAS(2,2)=CC0
+ DO 14 I=1,NSPH
+ IOGI=IOG(I)
+ IF(IOGI.LT.I)GO TO 12
+ K=0
+ S11=CC0
+ S21=CC0
+ S12=CC0
+ S22=CC0
+ DO 10 L=1,LS
+ RM=1.0D0/RMI(L,I)
+ RE=1.0D0/REI(L,I)
+ LTPO=L+L+1
+ DO 10 IM=1,LTPO
+ K=K+1
+ KE=K+NLEM
+ S11=S11-W(K,3)*W(K,1)*RM-W(KE,3)*W(KE,1)*RE
+ S21=S21-W(K,4)*W(K,1)*RM-W(KE,4)*W(KE,1)*RE
+ S12=S12-W(K,3)*W(K,2)*RM-W(KE,3)*W(KE,2)*RE
+ 10 S22=S22-W(K,4)*W(K,2)*RM-W(KE,4)*W(KE,2)*RE
+ SAS(I,1,1)=S11*CSAM
+ SAS(I,2,1)=S21*CSAM
+ SAS(I,1,2)=S12*CSAM
+ SAS(I,2,2)=S22*CSAM
+ 12 PHAS=CDEXP(CPH*(DUK(1)*RXX(I)+DUK(2)*RYY(I)+DUK(3)*RZZ(I)))
+ TSAS(1,1)=TSAS(1,1)+SAS(IOGI,1,1)*PHAS
+ TSAS(2,1)=TSAS(2,1)+SAS(IOGI,2,1)*PHAS
+ TSAS(1,2)=TSAS(1,2)+SAS(IOGI,1,2)*PHAS
+ 14 TSAS(2,2)=TSAS(2,2)+SAS(IOGI,2,2)*PHAS
+ DO 24 I=1,NSPH
+ IOGI=IOG(I)
+ IF(IOGI.LT.I)GO TO 24
+ J=0
+ DO 22 IPO1=1,2
+ DO 22 JPO1=1,2
+ CC=DCONJG(SAS(I,JPO1,IPO1))
+ DO 22 IPO2=1,2
+ DO 22 JPO2=1,2
+ J=J+1
+ 22 VINTS(I,J)=SAS(I,JPO2,IPO2)*CC*CFSQ
+ 24 CONTINUE
+ J=0
+ DO 32 IPO1=1,2
+ DO 32 JPO1=1,2
+ CC=DCONJG(TSAS(JPO1,IPO1))
+ DO 32 IPO2=1,2
+ DO 32 JPO2=1,2
+ J=J+1
+ 32 VINTT(J)=TSAS(JPO2,IPO2)*CC*CFSQ
+ RETURN
+ END
+ SUBROUTINE PCROS(VK,EXRI)
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ COMMON/C4/LITPO,LITPOS,LMTPO,LMTPOS,LI,NLIM,LE,NLEM,NSPH
+ COMPLEX*16 SUMP,SUM1,SUM2,SUM3,SUM4,AM,AMP,CC,CSAM,CC0
+ CC0=(0.0D0,0.0D0)
+ C0=0.0D0
+ EXDC=EXRI*EXRI
+ CCS=1.0D0/(VK*VK)
+ CCCS=CCS/EXDC
+ CSAM=-(CCS/(EXRI*VK))*(0.0D0,0.5D0)
+ PIGFSQ=6.4D+1*DACOS(C0)**2
+ CFSQ=4.0D0/(PIGFSQ*CCS*CCS)
+ NLEMT=NLEM+NLEM
+ JPO=2
+ DO 18 IPO=1,2
+ IF(IPO.EQ.2)JPO=1
+ IPOPT=IPO+2
+ JPOPT=JPO+2
+ SUM=C0
+ SUMP=CC0
+ SUM1=CC0
+ SUM2=CC0
+ SUM3=CC0
+ SUM4=CC0
+ DO 12 I=1,NLEMT
+ AM=CC0
+ AMP=CC0
+ DO 10 J=1,NLEMT
+ AM=AM+AM0M(I,J)*W(J,IPO)
+ 10 AMP=AMP+AM0M(I,J)*W(J,JPO)
+ SUM=SUM+DREAL(DCONJG(AM)*AM)
+ SUMP=SUMP+(DCONJG(AMP)*AM)
+ SUM1=SUM1+DCONJG(W(I,IPO))*AM
+ SUM2=SUM2+DCONJG(W(I,JPO))*AM
+ SUM3=SUM3+W(I,IPOPT)*AM
+ 12 SUM4=SUM4+W(I,JPOPT)*AM
+ SCSC(IPO)=CCCS*SUM
+ SCSCP(IPO)=CCCS*SUMP
+ ECSC(IPO)=-CCCS*DREAL(SUM1)
+ ECSCP(IPO)=-CCCS*SUM2
+ FSAC(IPO,IPO)=CSAM*SUM1
+ FSAC(JPO,IPO)=CSAM*SUM2
+ SAC(IPO,IPO)=CSAM*SUM3
+ 18 SAC(JPO,IPO)=CSAM*SUM4
+ I=0
+ DO 22 IPO1=1,2
+ DO 22 JPO1=1,2
+ CC=DCONJG(SAC(JPO1,IPO1))
+ DO 22 IPO2=1,2
+ DO 22 JPO2=1,2
+ I=I+1
+ 22 VINT(I)=SAC(JPO2,IPO2)*CC*CFSQ
+ RETURN
+ END
+ SUBROUTINE PCRSM0(VK,EXRI,INPOL)
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ COMMON/C4/LITPO,LITPOS,LMTPO,LMTPOS,LI,NLIM,LE,NLEM,NSPH
+ COMPLEX*16 SUM1,SUM2,SUM3,SUM4,SUMPD,SUMS1,SUMS2,SUMS3,SUMS4,
+ 1CSAM,CC0,UIM
+ CC0=(0.0D0,0.0D0)
+ UIM=(0.0D0,1.0D0)
+ C0=0.0D0
+ EXDC=EXRI*EXRI
+ CCS=4.0D0*DACOS(C0)/(VK*VK)
+ CCCS=CCS/EXDC
+ CSAM=-(CCS/(EXRI*VK))*(0.0D0,0.5D0)
+ SUM2=CC0
+ SUM3=CC0
+ DO 14 I=1,NLEM
+ IE=I+NLEM
+ SUM2=SUM2+(AM0M(I,I)+AM0M(IE,IE))
+ 14 SUM3=SUM3+(AM0M(I,IE)+AM0M(IE,I))
+ SUMPI=C0
+ SUMPD=CC0
+ NLEMT=NLEM+NLEM
+ DO 16 I=1,NLEMT
+ DO 16 J=1,NLEM
+ JE=J+NLEM
+ SUMPI=SUMPI+DREAL
+ 1(DCONJG(AM0M(I,J))*AM0M(I,J)+DCONJG(AM0M(I,JE))*AM0M(I,JE))
+ 16 SUMPD=SUMPD+
+ 1(DCONJG(AM0M(I,J))*AM0M(I,JE)+DCONJG(AM0M(I,JE))*AM0M(I,J))
+ IF(INPOL.NE.0)GO TO 18
+ SUM1=SUM2
+ SUM4=SUM3*UIM
+ SUM3=-SUM4
+ SUMS1=SUMPI
+ SUMS2=SUMPI
+ SUMS3=SUMPD*UIM
+ SUMS4=-SUMS3
+ GO TO 20
+ 18 SUM1=SUM2+SUM3
+ SUM2=SUM2-SUM3
+ SUM3=CC0
+ SUM4=CC0
+ SUMS1=SUMPI-SUMPD
+ SUMS2=SUMPI+SUMPD
+ SUMS3=CC0
+ SUMS4=CC0
+ 20 ECSCM(1)=-CCCS*DREAL(SUM2)
+ ECSCM(2)=-CCCS*DREAL(SUM1)
+ ECSCPM(1)=-CCCS*SUM4
+ ECSCPM(2)=-CCCS*SUM3
+ FSACM(1,1)=CSAM*SUM2
+ FSACM(2,1)=CSAM*SUM4
+ FSACM(2,2)=CSAM*SUM1
+ FSACM(1,2)=CSAM*SUM3
+ SCSCM(1)=CCCS*DREAL(SUMS1)
+ SCSCM(2)=CCCS*DREAL(SUMS2)
+ SCSCPM(1)=CCCS*SUMS3
+ SCSCPM(2)=CCCS*SUMS4
+ RETURN
+ END
+ SUBROUTINE CRSM1(VK,EXRI)
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ COMMON/C4/LITPO,LITPOS,LMTPO,LMTPOS,LI,NLIM,LE,NLEM,NSPH
+ COMMON/C6/RAC3J(47)
+CCC DIMENSION SVF(LE4PO,LE4PO,4),SVW(LE4PO,4,4),SVS(LE4PO,4)
+CCC LE4PO=LE*4+1
+ DIMENSION SVF(93,93,4),SVW(93,4,4),SVS(93,4)
+ COMPLEX*16 SVF,SVW,SVS
+ COMPLEX*16 CAM,CC0
+ CC0=(0.0D0,0.0D0)
+ C0=0.0D0
+ EXDC=EXRI*EXRI
+ CCS=1.0D0/(VK*VK)
+ PIGFSQ=6.4D+1*DACOS(C0)**2
+ CINT=CCS/(PIGFSQ*EXDC)
+ LETPO=LE+LE+1
+ DO 20 I=1,16
+ 20 VINTM(I)=CC0
+ DO 40 LPO=1,LETPO
+ L=LPO-1
+ LTPO=LPO+L
+ IMMN=LETPO-L
+ IMMX=LETPO+L
+ DO 22 IMF=IMMN,IMMX
+ DO 22 IMS=IMMN,IMMX
+ DO 22 IPO=1,4
+ 22 SVF(IMF,IMS,IPO)=CC0
+ DO 34 L1=1,LE
+ IL1=L1*(L1+1)
+ DO 34 L2=1,LE
+ IF((L.LT.IABS(L2-L1)).OR.(L.GT.(L2+L1)))GO TO 34
+ IL2=L2*(L2+1)
+ DO 24 IM=IMMN,IMMX
+ DO 24 IPA=1,4
+ SVS(IM,IPA)=CC0
+ DO 24 IPO=1,4
+ 24 SVW(IM,IPA,IPO)=CC0
+ DO 30 IM=IMMN,IMMX
+ M=IM-LETPO
+ CALL R3JMR(L,L1,L2,M)
+ M1MNMO=MAX0(-L1,-L2-M)-1
+ NM1=MIN0(L1,L2-M)-M1MNMO
+ DO 30 IM1=1,NM1
+ M1=-IM1-M1MNMO
+ ISN=1
+ IF(MOD(M1,2).NE.0)ISN=-1
+ CG3J=RAC3J(IM1)*ISN
+CCC CG=(LTPO**(1/2))*CG3J
+ ILM1=IL1+M1
+ ILM2=IL2+M1-M
+ IPA=0
+ DO 30 IPA1=1,2
+ I1=ILM1
+ IF(IPA1.EQ.2)I1=ILM1+NLEM
+ DO 30 IPA2=1,2
+ I2=ILM2
+ IF(IPA2.EQ.2)I2=ILM2+NLEM
+ IPA=IPA+1
+ SVS(IM,IPA)=SVS(IM,IPA)+AM0M(I1,I2)*CG3J
+ IPO=0
+ DO 30 IPO2=1,2
+ DO 30 IPO1=3,4
+ IPO=IPO+1
+ 30 SVW(IM,IPA,IPO)=SVW(IM,IPA,IPO)+W(I1,IPO1)*W(I2,IPO2)*CG3J
+ DO 32 IMF=IMMN,IMMX
+ DO 32 IMS=IMMN,IMMX
+ DO 32 IPO=1,4
+ DO 32 IPA=1,4
+ 32 SVF(IMF,IMS,IPO)=SVF(IMF,IMS,IPO)+SVW(IMF,IPA,IPO)*SVS(IMS,IPA)
+ 34 CONTINUE
+ DO 40 IMF=IMMN,IMMX
+ DO 40 IMS=IMMN,IMMX
+ I=0
+ DO 40 IPO1=1,4
+ CAM=DCONJG(SVF(IMF,IMS,IPO1))
+ DO 40 IPO2=1,4
+ I=I+1
+ 40 VINTM(I)=VINTM(I)+(SVF(IMF,IMS,IPO2)*CAM)*LTPO
+ DO 42 I=1,16
+ 42 VINTM(I)=VINTM(I)*CINT
+ RETURN
+ END
+ SUBROUTINE APS(ZPV,LI,NSPH,IOG,RMI,REI,SQK,GAPS)
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC DIMENSION ZPV(LM,3,2,2),IOG(NSPH),
+CCC 1RMI(LI,NSPH),REI(LI,NSPH),GAPS(NSPH)
+ DIMENSION ZPV(23,3,2,2),IOG(8),RMI(23,8),REI(23,8),GAPS(8)
+ COMPLEX*16 RMI,REI
+ COMPLEX*16 CC0,SUMM,SUME,SUEM,SUEE,SUM
+ CC0=(0.0D0,0.0D0)
+ C0=0.0D0
+ PIGH=DACOS(C0)
+ COFS=PIGH*2.0D0/SQK
+ DO 40 I=1,NSPH
+ IF(IOG(I).LT.I)GO TO 40
+ SUM=CC0
+ DO 30 L=1,LI
+ LTPO=L+L+1
+ DO 30 ILMP=1,3
+ IF(((L.EQ.1).AND.(ILMP.EQ.1)).OR.((L.EQ.LI).AND.(ILMP.EQ.3)))
+ 1GO TO 30
+ LMPML=ILMP-2
+ LMP=L+LMPML
+ COFL=LTPO*(LMP+LMP+1)
+ COFL=DSQRT(COFL)
+ SUMM=ZPV(L,ILMP,1,1)/(DCONJG(RMI(L,I))*RMI(LMP,I))
+ SUME=ZPV(L,ILMP,1,2)/(DCONJG(RMI(L,I))*REI(LMP,I))
+ SUEM=ZPV(L,ILMP,2,1)/(DCONJG(REI(L,I))*RMI(LMP,I))
+ SUEE=ZPV(L,ILMP,2,2)/(DCONJG(REI(L,I))*REI(LMP,I))
+ SUM=SUM+(CG1(LMPML,0,L,-1)*(SUMM-SUME-SUEM+SUEE)+
+ 1CG1(LMPML,0,L,1)*(SUMM+SUME+SUEM+SUEE))*COFL
+ 30 CONTINUE
+ GAPS(I)=DREAL(SUM)*COFS
+ 40 CONTINUE
+ RETURN
+ END
+ SUBROUTINE APC(ZPV,LE,AM0M,W,SQK,GAPR,GAPP)
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC DIMENSION ZPV(LM,3,2,2),AM0M(NLEMT,NLEMT),W(NLEMT,4)
+ DIMENSION ZPV(23,3,2,2),AM0M(1150,1150),W(1150,4),
+ 1GAPR(3,2),GAPP(3,2)
+ COMPLEX*16 AM0M,W,GAPP
+CCC DIMENSION AC(NLEMT,2)
+ DIMENSION AC(1150,2),GAP(3,2)
+ COMPLEX*16 AC,GAP
+ COMPLEX*16 CC0,UIM,UIMMP,
+ 1SUMM,SUME,SUEM,SUEE,SUMMP,SUMEP,SUEMP,SUEEP
+ CC0=(0.0D0,0.0D0)
+ UIM=(0.0D0,1.0D0)
+ COF=1.0D0/SQK
+ CIMU=COF/DSQRT(2.0D0)
+ NLEM=LE*(LE+2)
+ NLEMT=NLEM+NLEM
+ DO 45 J=1,NLEMT
+ AC(J,1)=CC0
+ AC(J,2)=CC0
+ DO 45 I=1,NLEMT
+ AC(J,1)=AC(J,1)+AM0M(J,I)*W(I,1)
+ AC(J,2)=AC(J,2)+AM0M(J,I)*W(I,2)
+ 45 CONTINUE
+ DO 90 IMU=1,3
+ MU=IMU-2
+ GAP(IMU,1)=CC0
+ GAP(IMU,2)=CC0
+ GAPP(IMU,1)=CC0
+ GAPP(IMU,2)=CC0
+ DO 80 L=1,LE
+ LPO=L+1
+ LTPO=LPO+L
+ IMM=L*LPO
+ DO 80 ILMP=1,3
+ IF(((L.EQ.1).AND.(ILMP.EQ.1)).OR.((L.EQ.LE).AND.(ILMP.EQ.3)))
+ 1GO TO 80
+ LMPML=ILMP-2
+ LMP=L+LMPML
+ UIMMP=-LMPML*UIM
+ IMPMMMP=LMP*(LMP+1)
+ DO 70 IM=1,LTPO
+ M=IM-LPO
+ MMP=M-MU
+ IF(IABS(MMP).GT.LMP)GO TO 70
+ I=IMM+M
+ IE=I+NLEM
+ IMP=IMPMMMP+MMP
+ IMPE=IMP+NLEM
+ CGC=CG1(LMPML,MU,L,M)
+ JPO=2
+ DO 60 IPO=1,2
+ IF(IPO.EQ.2)JPO=1
+ SUMM=DCONJG(AC(I,IPO))*AC(IMP,IPO)
+ SUME=DCONJG(AC(I,IPO))*AC(IMPE,IPO)
+ SUEM=DCONJG(AC(IE,IPO))*AC(IMP,IPO)
+ SUEE=DCONJG(AC(IE,IPO))*AC(IMPE,IPO)
+ SUMMP=DCONJG(AC(I,JPO))*AC(IMP,IPO)
+ SUMEP=DCONJG(AC(I,JPO))*AC(IMPE,IPO)
+ SUEMP=DCONJG(AC(IE,JPO))*AC(IMP,IPO)
+ SUEEP=DCONJG(AC(IE,JPO))*AC(IMPE,IPO)
+ IF(LMPML.EQ.0)GO TO 55
+ SUMM=SUMM*UIMMP
+ SUME=SUME*UIMMP
+ SUEM=SUEM*UIMMP
+ SUEE=SUEE*UIMMP
+ SUMMP=SUMMP*UIMMP
+ SUMEP=SUMEP*UIMMP
+ SUEMP=SUEMP*UIMMP
+ SUEEP=SUEEP*UIMMP
+ 55 GAP(IMU,IPO)=GAP(IMU,IPO)+CGC*
+ 1(SUMM*ZPV(L,ILMP,1,1)+SUME*ZPV(L,ILMP,1,2)+
+ 2SUEM*ZPV(L,ILMP,2,1)+SUEE*ZPV(L,ILMP,2,2))
+ GAPP(IMU,IPO)=GAPP(IMU,IPO)+CGC*
+ 1(SUMMP*ZPV(L,ILMP,1,1)+SUMEP*ZPV(L,ILMP,1,2)+
+ 2SUEMP*ZPV(L,ILMP,2,1)+SUEEP*ZPV(L,ILMP,2,2))
+ 60 CONTINUE
+ 70 CONTINUE
+ 80 CONTINUE
+ 90 CONTINUE
+ DO 95 IPO=1,2
+ SUME=GAP(1,IPO)*CIMU
+ SUEE=GAP(2,IPO)*COF
+ SUEM=GAP(3,IPO)*CIMU
+ GAPR(1,IPO)=DREAL(SUME-SUEM)
+ GAPR(2,IPO)=DREAL((SUME+SUEM)*UIM)
+ GAPR(3,IPO)=DREAL(SUEE)
+ SUMEP=GAPP(1,IPO)*CIMU
+ SUEEP=GAPP(2,IPO)*COF
+ SUEMP=GAPP(3,IPO)*CIMU
+ GAPP(1,IPO)=SUMEP-SUEMP
+ GAPP(2,IPO)=(SUMEP+SUEMP)*UIM
+ GAPP(3,IPO)=SUEEP
+ 95 CONTINUE
+ RETURN
+ END
+ SUBROUTINE APCRA(ZPV,LE,AM0M,INPOL,SQK,GAPRM,GAPPM)
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC DIMENSION ZPV(LM,3,2,2),AM0M(NLEMT,NLEMT)
+ DIMENSION ZPV(23,3,2,2),AM0M(1150,1150),GAPRM(3,2),GAPPM(3,2)
+ COMPLEX*16 AM0M,GAPPM
+CCC DIMENSION SVW(LE,3,2,2),SVS(LE,3,2,2)
+ DIMENSION SVW(23,3,2,2),SVS(23,3,2,2)
+ COMPLEX*16 SVS
+ COMPLEX*16 CC0,UIM,UIMTL,UIMTLS,FC,
+ 1CA11,CA12,CA21,CA22,A11,A12,A21,A22,SUM1,SUM2
+ CC0=(0.0D0,0.0D0)
+ UIM=(0.0D0,1.0D0)
+ NLEM=LE*(LE+2)
+ DO 28 L=1,LE
+ LPO=L+1
+ LTPO=LPO+L
+ FL=LTPO
+ FL=DSQRT(FL)
+ DO 26 ILMP=1,3
+ IF(((L.EQ.1).AND.(ILMP.EQ.1)).OR.((L.EQ.LE).AND.(ILMP.EQ.3)))
+ 1GO TO 26
+ LMPML=ILMP-2
+ LMP=L+LMPML
+ FLMP=LMP+LMP+1
+ FLMP=DSQRT(FLMP)
+ FLLMP=FLMP/FL
+ CGMMO=FLLMP*CG1(LMPML,0,L,1)
+ CGMPO=FLLMP*CG1(LMPML,0,L,-1)
+ IF(INPOL.NE.0)GO TO 22
+ CGS=CGMPO+CGMMO
+ CGD=CGMPO-CGMMO
+ SVW(L,ILMP,1,1)=CGS
+ SVW(L,ILMP,1,2)=CGD
+ SVW(L,ILMP,2,1)=CGD
+ SVW(L,ILMP,2,2)=CGS
+ GO TO 26
+ 22 SVW(L,ILMP,1,1)=CGMPO
+ SVW(L,ILMP,2,1)=CGMPO
+ SVW(L,ILMP,1,2)=-CGMMO
+ SVW(L,ILMP,2,2)=CGMMO
+ 26 CONTINUE
+ 28 CONTINUE
+ DO 30 L=1,LE
+ DO 30 ILMP=1,3
+ DO 30 IPA=1,2
+ DO 30 IPAMP=1,2
+ SVS(L,ILMP,IPA,IPAMP)=CC0
+ 30 CONTINUE
+ DO 58 L=1,LE
+ LPO=L+1
+ LTPO=L+LPO
+ IMM=L*LPO
+ DO 56 ILMP=1,3
+ IF(((L.EQ.1).AND.(ILMP.EQ.1)).OR.((L.EQ.LE).AND.(ILMP.EQ.3)))
+ 1GO TO 56
+ LMPML=ILMP-2
+ LMP=L+LMPML
+ IMPMM=LMP*(LMP+1)
+ UIMTL=LMPML*UIM
+ IF(LMPML.EQ.0)UIMTL=(1.0D0,0.0D0)
+ DO 54 IM=1,LTPO
+ M=IM-LPO
+ I=IMM+M
+ IE=I+NLEM
+ DO 52 IMU=1,3
+ MU=IMU-2
+ MMP=M-MU
+ IF(IABS(MMP).GT.LMP)GO TO 52
+ IMP=IMPMM+MMP
+ IMPE=IMP+NLEM
+ CGC=CG1(LMPML,-MU,L,-M)
+ DO 48 LS=1,LE
+ LSPO=LS+1
+ LSTPO=LS+LSPO
+ ISMM=LS*LSPO
+ DO 46 ILSMP=1,3
+ IF(((LS.EQ.1).AND.(ILSMP.EQ.1)).OR.((LS.EQ.LE).AND.(ILSMP.EQ.3)))
+ 1GO TO 46
+ LSMPML=ILSMP-2
+ LSMP=LS+LSMPML
+ ISMPMM=LSMP*(LSMP+1)
+ UIMTLS=-LSMPML*UIM
+ IF(LSMPML.EQ.0)UIMTLS=(1.0D0,0.0D0)
+ DO 44 IMS=1,LSTPO
+ MS=IMS-LSPO
+ MSMP=MS-MU
+ IF(IABS(MSMP).GT.LSMP)GO TO 44
+ IS=ISMM+MS
+ ISE=IS+NLEM
+ ISMP=ISMPMM+MSMP
+ ISMPE=ISMP+NLEM
+ CGCS=CG1(LSMPML,MU,LS,MS)
+ FC=(UIMTL*UIMTLS)*(CGC*CGCS)
+ CA11=DCONJG(AM0M(IS,I))
+ CA12=DCONJG(AM0M(IS,IE))
+ CA21=DCONJG(AM0M(ISE,I))
+ CA22=DCONJG(AM0M(ISE,IE))
+ A11=AM0M(ISMP,IMP)
+ A12=AM0M(ISMP,IMPE)
+ A21=AM0M(ISMPE,IMP)
+ A22=AM0M(ISMPE,IMPE)
+ Z11=ZPV(LS,ILSMP,1,1)
+ Z12=ZPV(LS,ILSMP,1,2)
+ Z21=ZPV(LS,ILSMP,2,1)
+ Z22=ZPV(LS,ILSMP,2,2)
+ SVS(L,ILMP,1,1)=SVS(L,ILMP,1,1)+
+ 1(CA11*A11*Z11+CA11*A21*Z12+CA21*A11*Z21+CA21*A21*Z22)*FC
+ SVS(L,ILMP,1,2)=SVS(L,ILMP,1,2)+
+ 1(CA11*A12*Z11+CA11*A22*Z12+CA21*A12*Z21+CA21*A22*Z22)*FC
+ SVS(L,ILMP,2,1)=SVS(L,ILMP,2,1)+
+ 1(CA12*A11*Z11+CA12*A21*Z12+CA22*A11*Z21+CA22*A21*Z22)*FC
+ SVS(L,ILMP,2,2)=SVS(L,ILMP,2,2)+
+ 1(CA12*A12*Z11+CA12*A22*Z12+CA22*A12*Z21+CA22*A22*Z22)*FC
+ 44 CONTINUE
+ 46 CONTINUE
+ 48 CONTINUE
+ 52 CONTINUE
+ 54 CONTINUE
+ 56 CONTINUE
+ 58 CONTINUE
+ SUM1=CC0
+ SUM2=CC0
+ DO 68 L=1,LE
+ LPO=L+1
+ LTPO=L+LPO
+ IMM=L*LPO
+ DO 66 ILMP=1,3
+ IF(((L.EQ.1).AND.(ILMP.EQ.1)).OR.((L.EQ.LE).AND.(ILMP.EQ.3)))
+ 1GO TO 66
+ IF(INPOL.NE.0)GO TO 62
+ SUM1=SUM1+
+ 1SVW(L,ILMP,1,1)*SVS(L,ILMP,1,1)+SVW(L,ILMP,2,1)*SVS(L,ILMP,1,2)+
+ 2SVW(L,ILMP,2,1)*SVS(L,ILMP,2,1)+SVW(L,ILMP,1,1)*SVS(L,ILMP,2,2)
+ SUM2=SUM2+
+ 1SVW(L,ILMP,1,2)*SVS(L,ILMP,1,1)+SVW(L,ILMP,2,2)*SVS(L,ILMP,1,2)+
+ 2SVW(L,ILMP,2,2)*SVS(L,ILMP,2,1)+SVW(L,ILMP,1,2)*SVS(L,ILMP,2,2)
+ GO TO 66
+ 62 SUM1=SUM1+
+ 1SVW(L,ILMP,2,1)*SVS(L,ILMP,1,1)+SVW(L,ILMP,1,1)*SVS(L,ILMP,1,2)+
+ 2SVW(L,ILMP,1,1)*SVS(L,ILMP,2,1)+SVW(L,ILMP,2,1)*SVS(L,ILMP,2,2)
+ SUM2=SUM2+
+ 1SVW(L,ILMP,2,2)*SVS(L,ILMP,1,1)+SVW(L,ILMP,1,2)*SVS(L,ILMP,1,2)+
+ 2SVW(L,ILMP,1,2)*SVS(L,ILMP,2,1)+SVW(L,ILMP,2,2)*SVS(L,ILMP,2,2)
+ 66 CONTINUE
+ 68 CONTINUE
+ C0=0.0D0
+ PIGH=DACOS(C0)
+ COFS=PIGH*2.0D0/SQK
+ GAPRM(1,1)=C0
+ GAPRM(1,2)=C0
+ GAPRM(2,1)=C0
+ GAPRM(2,2)=C0
+ GAPPM(1,1)=CC0
+ GAPPM(1,2)=CC0
+ GAPPM(2,1)=CC0
+ GAPPM(2,2)=CC0
+ IF(INPOL.NE.0)GO TO 72
+ SUM1=SUM1*COFS
+ SUM2=SUM2*COFS
+ GAPRM(3,1)=DREAL(SUM1)
+ GAPRM(3,2)=DREAL(SUM1)
+ GAPPM(3,1)=SUM2*UIM
+ GAPPM(3,2)=-GAPPM(3,1)
+ RETURN
+ 72 COFS=COFS*2.0D0
+ GAPRM(3,1)=DREAL(SUM1)*COFS
+ GAPRM(3,2)=DREAL(SUM2)*COFS
+ GAPPM(3,1)=CC0
+ GAPPM(3,2)=CC0
+ RETURN
+ END
+ SUBROUTINE THDPS(LM,ZPV)
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC DIMENSION ZPV(LM,3,2,2)
+ DIMENSION ZPV(23,3,2,2)
+ C0=0.0D0
+ DO 10 L=1,LM
+ DO 10 ILMP=1,3
+ ZPV(L,ILMP,1,1)=C0
+ ZPV(L,ILMP,1,2)=C0
+ ZPV(L,ILMP,2,1)=C0
+ ZPV(L,ILMP,2,2)=C0
+ 10 CONTINUE
+ DO 15 L=1,LM
+ XD=L*(L+1)
+ ZP=-1.0D0/DSQRT(XD)
+ ZPV(L,2,1,2)=ZP
+ ZPV(L,2,2,1)=ZP
+ 15 CONTINUE
+ IF(LM.EQ.1)GO TO 30
+ DO 20 L=2,LM
+ XN=(L-1)*(L+1)
+ XD=L*(L+L+1)
+ ZP=DSQRT(XN/XD)
+ ZPV(L,1,1,1)=ZP
+ ZPV(L,1,2,2)=ZP
+ 20 CONTINUE
+ LMMO=LM-1
+ DO 25 L=1,LMMO
+ XN=L*(L+2)
+ XD=(L+1)*(L+L+1)
+ ZP=-DSQRT(XN/XD)
+ ZPV(L,3,1,1)=ZP
+ ZPV(L,3,2,2)=ZP
+ 25 CONTINUE
+ 30 CONTINUE
+ RETURN
+ END
+ REAL*8 FUNCTION CG1(LMPML,MU,L,M)
+CCC CG1(LMPML,MU,L,M)=CLGO(1,LMP,L;MU,M-MU,M)
+ REAL*8 XD,XN
+ IF(LMPML)30,5,60
+ 5 IF((M.NE.0).OR.(MU.NE.0))GO TO 10
+ CG1=0.0D0
+ RETURN
+ 10 IF(MU.EQ.0)GO TO 20
+ XD=(L+1)*L*2
+ IF(MU.GT.0)GO TO 15
+ XN=(L-M)*(L+M+1)
+ CG1=-DSQRT(XN/XD)
+ RETURN
+ 15 XN=(L+M)*(L-M+1)
+ CG1=DSQRT(XN/XD)
+ RETURN
+ 20 XD=(L+1)*L
+ XN=-M
+ CG1=XN/DSQRT(XD)
+ RETURN
+ 30 XD=(L*2-1)*L*2
+ IF(MU)35,40,45
+ 35 XN=(L-1-M)*(L-M)
+ CG1=DSQRT(XN/XD)
+ RETURN
+ 40 XN=(L-M)*(L+M)*2
+ CG1=DSQRT(XN/XD)
+ RETURN
+ 45 XN=(L-1+M)*(L+M)
+ CG1=DSQRT(XN/XD)
+ RETURN
+ 60 XD=(L*2+3)*(L+1)*2
+ IF(MU)65,70,75
+ 65 XN=(L+1+M)*(L+2+M)
+ CG1=DSQRT(XN/XD)
+ RETURN
+ 70 XN=(L+1-M)*(L+1+M)*2
+ CG1=-DSQRT(XN/XD)
+ RETURN
+ 75 XN=(L+1-M)*(L+2-M)
+ CG1=DSQRT(XN/XD)
+ RETURN
+ END
+ SUBROUTINE UPVMP(THD,PHD,ICSPNV,COST,SINT,COSP,SINP,U,UP,UN)
+ IMPLICIT REAL*8(A-H,O-Z)
+ DIMENSION U(3),UP(3),UN(3)
+ C0=0.0D0
+ PIGH=DACOS(C0)
+ RDR=PIGH/9.0D+1
+ TH=THD*RDR
+ PH=PHD*RDR
+ COST=DCOS(TH)
+ SINT=DSIN(TH)
+ COSP=DCOS(PH)
+ SINP=DSIN(PH)
+ U(1)=COSP*SINT
+ U(2)=SINP*SINT
+ U(3)=COST
+ UP(1)=COSP*COST
+ UP(2)=SINP*COST
+ UP(3)=-SINT
+ UN(1)=-SINP
+ UN(2)=COSP
+ UN(3)=C0
+ IF(ICSPNV.EQ.0)RETURN
+ UP(1)=-UP(1)
+ UP(2)=-UP(2)
+ UP(3)=-UP(3)
+ UN(1)=-UN(1)
+ UN(2)=-UN(2)
+ RETURN
+ END
+ SUBROUTINE WMAMP
+ 1(IIS,COST,SINT,COSP,SINP,INPOL,LM,IDOT,NSPH,ARG,U,UP,UN)
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC DIMENSION YLM(NLMM+2),ARG(NSPEF)
+CCC NSPEF=1 CALLING WITH IDOT=0, NSPEF=NSPH OTHERWISE
+ DIMENSION YLM(2209),U(3),UP(3),UN(3),ARG(1)
+ COMPLEX*16 YLM
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ NLMP=LM*(LM+2)+2
+ YLM(NLMP)=(0.0D0,0.0D0)
+ IF(IDOT.EQ.0)GO TO 65
+ IF(IDOT.EQ.1)GO TO 45
+ DO 40 N=1,NSPH
+ 40 ARG(N)=U(1)*RXX(N)+U(2)*RYY(N)+U(3)*RZZ(N)
+ GO TO 55
+ 45 DO 50 N=1,NSPH
+ 50 ARG(N)=COST*RZZ(N)
+ 55 IF(IIS.NE.2)GO TO 65
+ DO 60 N=1,NSPH
+ 60 ARG(N)=-ARG(N)
+ 65 CALL SPHAR(COST,SINT,COSP,SINP,LM,YLM)
+ CALL PWMA(UP,UN,YLM,INPOL,LM,IIS)
+ RETURN
+ END
+ SUBROUTINE UPVSP(U,UPMP,UNMP,US,UPSMP,UNSMP,UP,UN,UPS,UNS,DUK,
+ 1ISQ,IBF,SCAND,CFMP,SFMP,CFSP,SFSP)
+ IMPLICIT REAL*8(A-H,O-Z)
+ DIMENSION U(3),UPMP(3),UNMP(3),US(3),UPSMP(3),UNSMP(3),
+ 1UP(3),UN(3),UPS(3),UNS(3),DUK(3)
+ C0=0.0D0
+ RDR=DACOS(C0)/9.0D+1
+ SML=1.0D-6
+ ISQ=0
+ SCAND=U(1)*US(1)+U(2)*US(2)+U(3)*US(3)
+ IF(DABS(SCAND-1.0D0).LT.SML)GO TO 10
+ IF(DABS(SCAND+1.0D0).LT.SML)GO TO 15
+ SCAND=DACOS(SCAND)/RDR
+ DUK(1)=U(1)-US(1)
+ DUK(2)=U(2)-US(2)
+ DUK(3)=U(3)-US(3)
+ IBF=0
+ GO TO 25
+ 10 SCAND=C0
+ DUK(1)=C0
+ DUK(2)=C0
+ DUK(3)=C0
+ IBF=-1
+ ISQ=-1
+ UPS(1)=UPSMP(1)
+ UPS(2)=UPSMP(2)
+ UPS(3)=UPSMP(3)
+ UNS(1)=UNSMP(1)
+ UNS(2)=UNSMP(2)
+ UNS(3)=UNSMP(3)
+ GO TO 20
+ 15 SCAND=180.0D0
+ DUK(1)=U(1)*2.0D0
+ DUK(2)=U(2)*2.0D0
+ DUK(3)=U(3)*2.0D0
+ IBF=1
+ UPS(1)=-UPSMP(1)
+ UPS(2)=-UPSMP(2)
+ UPS(3)=-UPSMP(3)
+ UNS(1)=-UNSMP(1)
+ UNS(2)=-UNSMP(2)
+ UNS(3)=-UNSMP(3)
+ 20 UP(1)=UPMP(1)
+ UP(2)=UPMP(2)
+ UP(3)=UPMP(3)
+ UN(1)=UNMP(1)
+ UN(2)=UNMP(2)
+ UN(3)=UNMP(3)
+ GO TO 85
+ 25 CALL ORUNVE(U,US,UN,-1,SML)
+ UNS(1)=UN(1)
+ UNS(2)=UN(2)
+ UNS(3)=UN(3)
+ CALL ORUNVE(UN,U,UP,1,SML)
+ CALL ORUNVE(UNS,US,UPS,1,SML)
+ 85 CFMP=UPMP(1)*UP(1)+UPMP(2)*UP(2)+UPMP(3)*UP(3)
+ SFMP=UNMP(1)*UP(1)+UNMP(2)*UP(2)+UNMP(3)*UP(3)
+ CFSP=UPS(1)*UPSMP(1)+UPS(2)*UPSMP(2)+UPS(3)*UPSMP(3)
+ SFSP=UNS(1)*UPSMP(1)+UNS(2)*UPSMP(2)+UNS(3)*UPSMP(3)
+ RETURN
+ END
+ SUBROUTINE WMASP(COST,SINT,COSP,SINP,COSTS,SINTS,COSPS,SINPS,
+ 1U,UP,UN,US,UPS,UNS,ISQ,IBF,INPOL,LM,IDOT,NSPH,ARGI,ARGS)
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC DIMENSION YLM(NLMM+2),ARGI(NSPEF),ARGS(NSPEF)
+CCC NSPEF=1 CALLING WITH IDOT=0, NSPEF=NSPH OTHERWISE
+ DIMENSION YLM(2209),ARGI(1),ARGS(1),
+ 1U(3),UP(3),UN(3),US(3),UPS(3),UNS(3)
+ COMPLEX*16 YLM
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ NLMP=LM*(LM+2)+2
+ YLM(NLMP)=(0.0D0,0.0D0)
+ IF(IDOT.EQ.0)GO TO 75
+ IF(IDOT.EQ.1)GO TO 50
+ DO 40 N=1,NSPH
+ ARGI(N)=U(1)*RXX(N)+U(2)*RYY(N)+U(3)*RZZ(N)
+ IF(IBF.EQ.0)GO TO 35
+ ARGS(N)=ARGI(N)*IBF
+ GO TO 40
+ 35 ARGS(N)=-(US(1)*RXX(N)+US(2)*RYY(N)+US(3)*RZZ(N))
+ 40 CONTINUE
+ GO TO 75
+ 50 DO 60 N=1,NSPH
+ ARGI(N)=COST*RZZ(N)
+ IF(IBF.EQ.0)GO TO 55
+ ARGS(N)=ARGI(N)*IBF
+ GO TO 60
+ 55 ARGS(N)=-COSTS*RZZ(N)
+ 60 CONTINUE
+ 75 CALL SPHAR(COST,SINT,COSP,SINP,LM,YLM)
+ CALL PWMA(UP,UN,YLM,INPOL,LM,ISQ)
+ IF(IBF.LT.0)RETURN
+ CALL SPHAR(COSTS,SINTS,COSPS,SINPS,LM,YLM)
+ CALL PWMA(UPS,UNS,YLM,INPOL,LM,2)
+ RETURN
+ END
+ SUBROUTINE STR(RCF)
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC DIMENSION RCF(NSPH,NSHL),YLM(MAX0(LITPOS,LMTPOS))
+ DIMENSION RCF(8,8),YLM(2209)
+ COMPLEX*16 YLM
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ COMMON/C3/TFSAS,TSAS(2,2),GCS,SCS,ECS,ACS
+ COMPLEX*16 TFSAS,TSAS
+ COMMON/C4/LITPO,LITPOS,LMTPO,LMTPOS,LI,NLIM,LE,NLEM,NSPH
+ COMMON/C6/RAC3J(47)
+ C0=0.0D0
+ PIGH=DACOS(C0)
+ PIG=PIGH*2.0D0
+ GCS=C0
+ DO 18 I=1,NSPH
+ IOGI=IOG(I)
+ IF(IOGI.LT.I)GO TO 18
+ GCSS=PIG*ROS(I)*ROS(I)
+ GCSV(I)=GCSS
+ NSH=NSHL(I)
+ DO 16 J=1,NSH
+ 16 RC(I,J)=RCF(I,J)*ROS(I)
+ 18 GCS=GCS+GCSV(IOGI)
+ LITPO=LI+LI+1
+ LITPOS=LITPO*LITPO
+ LMTPO=LI+LE+1
+ LMTPOS=LMTPO*LMTPO
+ NLIM=LI*(LI+2)
+ NLEM=LE*(LE+2)
+ LM=MAX0(LI,LE)
+ LMPO=LM+1
+ I=0
+ DO 28 L1PO=1,LMPO
+ L1=L1PO-1
+ DO 28 L2=1,LM
+ CALL R3J000(L1,L2)
+ IND3J(L1PO,L2)=I
+ LMNPO=IABS(L2-L1)+1
+ LMXPO=L2+L1+1
+ IL=0
+ DO 28 LPO=LMNPO,LMXPO,2
+ I=I+1
+ IL=IL+1
+ 28 V3J0(I)=RAC3J(IL)
+ NSPHMO=NSPH-1
+ LIT=LI+LI
+ IVY=0
+ DO 40 NF=1,NSPHMO
+ NFPO=NF+1
+ DO 40 NS=NFPO,NSPH
+ RX=RXX(NF)-RXX(NS)
+ RY=RYY(NF)-RYY(NS)
+ RZ=RZZ(NF)-RZZ(NS)
+ CALL POLAR(RX,RY,RZ,RR,CRTH,SRTH,CRPH,SRPH)
+ CALL SPHAR(CRTH,SRTH,CRPH,SRPH,LIT,YLM)
+ DO 38 IV=1,LITPOS
+ 38 VYHJ(IV+IVY)=DCONJG(YLM(IV))
+ 40 IVY=IVY+LITPOS
+ LMT=LI+LE
+ IVY=0
+ DO 50 NF=1,NSPH
+ RX=RXX(NF)
+ RY=RYY(NF)
+ RZ=RZZ(NF)
+ IF(RX.EQ.C0.AND.RY.EQ.C0.AND.RZ.EQ.C0)GO TO 50
+ CALL POLAR(RX,RY,RZ,RR,CRTH,SRTH,CRPH,SRPH)
+ CALL SPHAR(CRTH,SRTH,CRPH,SRPH,LMT,YLM)
+ DO 48 IV=1,LMTPOS
+ 48 VYJ0(IV+IVY)=DCONJG(YLM(IV))
+ 50 IVY=IVY+LMTPOS
+ RETURN
+ END
+ SUBROUTINE HJV(EXRI,VK,JER,LCALC,ARG)
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC DIMENSION RFJ(MAX0(LIT,LMT)),RFN(LITPO)
+ DIMENSION RFJ(46),RFN(47)
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ COMMON/C4/LITPO,LITPOS,LMTPO,LMTPOS,LI,NLIM,LE,NLEM,NSPH
+ COMPLEX*16 ARG,UIM
+ JER=0
+ C0=0.0D0
+ UIM=(0.0D0,1.0D0)
+ NSPHMO=NSPH-1
+ LIT=LI+LI
+ IVHB=0
+ DO 40 NF=1,NSPHMO
+ NFPO=NF+1
+ DO 40 NS=NFPO,NSPH
+ RX=RXX(NF)-RXX(NS)
+ RY=RYY(NF)-RYY(NS)
+ RZ=RZZ(NF)-RZZ(NS)
+ RR=DSQRT(RX*RX+RY*RY+RZ*RZ)
+ RARG=RR*VK*EXRI
+ ARG=RARG
+ CALL RBF(LIT,RARG,LCALC,RFJ)
+ IF(LCALC.GE.LIT)GO TO 35
+ JER=1
+ RETURN
+ 35 CALL RNF(LIT,RARG,LCALC,RFN)
+ IF(LCALC.GE.LIT)GO TO 37
+ JER=2
+ RETURN
+ 37 DO 38 LPO=1,LITPO
+ 38 VH(LPO+IVHB)=RFJ(LPO)+UIM*RFN(LPO)
+ 40 IVHB=IVHB+LITPO
+ LMT=LI+LE
+ IVHB=0
+ DO 50 NF=1,NSPH
+ RX=RXX(NF)
+ RY=RYY(NF)
+ RZ=RZZ(NF)
+ IF(RX.EQ.C0.AND.RY.EQ.C0.AND.RZ.EQ.C0)GO TO 50
+ RR=DSQRT(RX*RX+RY*RY+RZ*RZ)
+ RARG=RR*VK*EXRI
+ CALL RBF(LMT,RARG,LCALC,RFJ)
+ IF(LCALC.GE.LMT)GO TO 45
+ JER=3
+ ARG=RARG
+ RETURN
+ 45 DO 47 LPO=1,LMTPO
+ 47 VJ0(LPO+IVHB)=RFJ(LPO)
+ 50 IVHB=IVHB+LMTPO
+ RETURN
+ END
+ SUBROUTINE PWMA(UP,UN,YLM,INPOL,LW,ISQ)
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC DIMENSION YLM(NLWM+2)
+ DIMENSION YLM(2209),UP(3),UN(3)
+ COMPLEX*16 YLM
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ COMPLEX*16 CP1,CM1,C1,CP2,CM2,C2,UIM,CL
+ PI4=DACOS(0.0D0)*8.0D0
+ IS=ISQ
+ IF(ISQ.EQ.-1)IS=0
+ ISPO=IS+1
+ ISPT=IS+2
+ NLWM=LW*(LW+2)
+ NLWMT=NLWM+NLWM
+ SQRTWI=1.0D0/DSQRT(2.0D0)
+ UIM=(0.0D0,1.0D0)
+ CM1=.5D0*DCMPLX(UP(1),UP(2))
+ CP1=.5D0*DCMPLX(UP(1),-UP(2))
+ CZ1=UP(3)
+ CM2=.5D0*DCMPLX(UN(1),UN(2))
+ CP2=.5D0*DCMPLX(UN(1),-UN(2))
+ CZ2=UN(3)
+ DO 20 L=1,LW
+ LF=L+1
+ LFTL=LF*L
+ X=LFTL
+ CL=(PI4/DSQRT(X))*UIM**L
+ MV=L+LF
+ M=-LF
+ DO 20 MF=1,MV
+ M=M+1
+ K=LFTL+M
+ X=LFTL-M*(M+1)
+ CP=DSQRT(X)
+ X=LFTL-M*(M-1)
+ CM=DSQRT(X)
+ CZ=M
+ W(K,ISPO)=DCONJG(CP1*CP*YLM(K+2)+CM1*CM*YLM(K)+CZ1*CZ*YLM(K+1))*CL
+ 20 W(K,ISPT)=DCONJG(CP2*CP*YLM(K+2)+CM2*CM*YLM(K)+CZ2*CZ*YLM(K+1))*CL
+ DO 30 K=1,NLWM
+ I=K+NLWM
+ W(I,ISPO)=UIM*W(K,ISPT)
+ 30 W(I,ISPT)=-UIM*W(K,ISPO)
+ IF(INPOL.EQ.0)GO TO 42
+ DO 40 K=1,NLWM
+ I=K+NLWM
+ C1=(W(K,ISPO)+UIM*W(K,ISPT))*SQRTWI
+ C2=(W(K,ISPO)-UIM*W(K,ISPT))*SQRTWI
+ W(K,ISPO)=C2
+ W(I,ISPO)=-C2
+ W(K,ISPT)=C1
+ 40 W(I,ISPT)=C1
+ 42 IF(ISQ.EQ.0)RETURN
+ DO 50 I=1,2
+ IPT=I+2
+ IPIS=I+IS
+ DO 50 K=1,NLWMT
+ 50 W(K,IPT)=DCONJG(W(K,IPIS))
+ RETURN
+ END
+ SUBROUTINE ORUNVE(U1,U2,U3,IORTH,TORTH)
+ IMPLICIT REAL*8(A-H,O-Z)
+ DIMENSION U1(3),U2(3),U3(3)
+ IF(IORTH.GT.0)GO TO 10
+ CP=U1(1)*U2(1)+U1(2)*U2(2)+U1(3)*U2(3)
+ IF((IORTH.LT.0).AND.(DABS(CP).LT.TORTH))GO TO 10
+ FN=1.0D0/DSQRT(1.0D0-CP*CP)
+ U3(1)=(U1(2)*U2(3)-U1(3)*U2(2))*FN
+ U3(2)=(U1(3)*U2(1)-U1(1)*U2(3))*FN
+ U3(3)=(U1(1)*U2(2)-U1(2)*U2(1))*FN
+ RETURN
+ 10 U3(1)=U1(2)*U2(3)-U1(3)*U2(2)
+ U3(2)=U1(3)*U2(1)-U1(1)*U2(3)
+ U3(3)=U1(1)*U2(2)-U1(2)*U2(1)
+ RETURN
+ END
+ SUBROUTINE CMS(AM)
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ COMMON/C4/LITPO,LITPOS,LMTPO,LMTPOS,LI,NLIM,LE,NLEM,NSPH
+CCC DIMENSION AM(MXNDM,MXNDM)
+CCC NDIT.LE.MXNDM
+ DIMENSION AM(9200,9200)
+ COMPLEX*16 AM
+ COMPLEX*16 DM,DE,CGH,CGK,GHIT,CC0
+ CC0=(0.0D0,0.0D0)
+ NDI=NSPH*NLIM
+ NBL=0
+ NSPHMO=NSPH-1
+ DO 26 N1=1,NSPHMO
+ IN1=(N1-1)*NLIM
+ N1PO=N1+1
+ DO 26 N2=N1PO,NSPH
+ IN2=(N2-1)*NLIM
+ NBL=NBL+1
+ DO 24 L1=1,LI
+ L1PO=L1+1
+ IL1=L1PO*L1
+ L1TPO=L1PO+L1
+ DO 24 IM1=1,L1TPO
+ M1=IM1-L1PO
+ ILM1=IL1+M1
+ ILM1E=ILM1+NDI
+ I1=IN1+ILM1
+ I1E=IN1+ILM1E
+ J1=IN2+ILM1
+ J1E=IN2+ILM1E
+ DO 24 L2=1,LI
+ L2PO=L2+1
+ IL2=L2PO*L2
+ L2TPO=L2PO+L2
+ ISH=(-1)**(L2+L1)
+ ISK=-ISH
+ DO 24 IM2=1,L2TPO
+ M2=IM2-L2PO
+ ILM2=IL2+M2
+ ILM2E=ILM2+NDI
+ I2=IN2+ILM2
+ I2E=IN2+ILM2E
+ J2=IN1+ILM2
+ J2E=IN1+ILM2E
+ CGH=GHIT(0,0,NBL,L1,M1,L2,M2)
+ CGK=GHIT(0,1,NBL,L1,M1,L2,M2)
+ AM(I1,I2)=CGH
+ AM(I1,I2E)=CGK
+ AM(I1E,I2)=CGK
+ AM(I1E,I2E)=CGH
+ AM(J1,J2)=CGH*ISH
+ AM(J1,J2E)=CGK*ISK
+ AM(J1E,J2)=CGK*ISK
+ AM(J1E,J2E)=CGH*ISH
+ 24 CONTINUE
+ 26 CONTINUE
+ DO 30 N1=1,NSPH
+ IN1=(N1-1)*NLIM
+ DO 30 L1=1,LI
+ DM=RMI(L1,N1)
+ DE=REI(L1,N1)
+ L1PO=L1+1
+ IL1=L1PO*L1
+ L1TPO=L1PO+L1
+ DO 30 IM1=1,L1TPO
+ M1=IM1-L1PO
+ ILM1=IL1+M1
+ I1=IN1+ILM1
+ I1E=I1+NDI
+ DO 28 ILM2=1,NLIM
+ I2=IN1+ILM2
+ I2E=I2+NDI
+ AM(I1,I2)=CC0
+ AM(I1,I2E)=CC0
+ AM(I1E,I2)=CC0
+ 28 AM(I1E,I2E)=CC0
+ AM(I1,I1)=DM
+ 30 AM(I1E,I1E)=DE
+ RETURN
+ END
+ SUBROUTINE ZTM(AM)
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ COMMON/C4/LITPO,LITPOS,LMTPO,LMTPOS,LI,NLIM,LE,NLEM,NSPH
+ COMMON/C9/GIS(4600,575),GLS(4600,575),SAM(9200,1150)
+ COMPLEX*16 GIS,GLS,SAM
+CCC DIMENSION AM(MXNDM,MXNDM)
+CCC NDIT.LE.MXNDM
+ DIMENSION AM(9200,9200)
+ COMPLEX*16 AM
+ COMPLEX*16 GIE,GLE,GHIT,A1,A2,A3,A4,
+ 1SUM1,SUM2,SUM3,SUM4,CC0
+ CC0=(0.0D0,0.0D0)
+ NDI=NSPH*NLIM
+ I2=0
+ DO 15 N2=1,NSPH
+ DO 15 L2=1,LI
+ L2TPO=L2+L2+1
+ M2=-L2-1
+ DO 15 IM2=1,L2TPO
+ M2=M2+1
+ I2=I2+1
+ I3=0
+ DO 15 L3=1,LE
+ L3TPO=L3+L3+1
+ M3=-L3-1
+ DO 15 IM3=1,L3TPO
+ M3=M3+1
+ I3=I3+1
+ GIS(I2,I3)=GHIT(2,0,N2,L2,M2,L3,M3)
+ 15 GLS(I2,I3)=GHIT(2,1,N2,L2,M2,L3,M3)
+ DO 25 I1=1,NDI
+ I1E=I1+NDI
+ DO 25 I3=1,NLEM
+ I3E=I3+NLEM
+ SUM1=CC0
+ SUM2=CC0
+ SUM3=CC0
+ SUM4=CC0
+ DO 20 I2=1,NDI
+ I2E=I2+NDI
+ GIE=GIS(I2,I3)
+ GLE=GLS(I2,I3)
+ A1=AM(I1,I2)
+ A2=AM(I1,I2E)
+ A3=AM(I1E,I2)
+ A4=AM(I1E,I2E)
+ SUM1=SUM1+A1*GIE+A2*GLE
+ SUM2=SUM2+A1*GLE+A2*GIE
+ SUM3=SUM3+A3*GIE+A4*GLE
+ 20 SUM4=SUM4+A3*GLE+A4*GIE
+ SAM(I1,I3)=SUM1
+ SAM(I1,I3E)=SUM2
+ SAM(I1E,I3)=SUM3
+ 25 SAM(I1E,I3E)=SUM4
+ DO 35 I1=1,NDI
+ DO 35 I0=1,NLEM
+ GIS(I1,I0)=DCONJG(GIS(I1,I0))
+ 35 GLS(I1,I0)=DCONJG(GLS(I1,I0))
+ NLEMT=NLEM+NLEM
+ DO 45 I0=1,NLEM
+ I0E=I0+NLEM
+ DO 45 I3=1,NLEMT
+ SUM1=CC0
+ SUM2=CC0
+ DO 40 I1=1,NDI
+ I1E=I1+NDI
+ A1=SAM(I1,I3)
+ A2=SAM(I1E,I3)
+ GIE=GIS(I1,I0)
+ GLE=GLS(I1,I0)
+ SUM1=SUM1+A1*GIE+A2*GLE
+ 40 SUM2=SUM2+A1*GLE+A2*GIE
+ AM0M(I0,I3)=-SUM1
+ 45 AM0M(I0E,I3)=-SUM2
+ RETURN
+ END
+ COMPLEX*16 FUNCTION GHIT(IHI,IPAMO,NBL,L1,M1,L2,M2)
+CCC NBL INDIVIDUATES TRANSFER VECTOR GOING FROM N2 TO N1;
+CCC IHI=0 FOR HANKEL, IHI=1 FOR BESSEL, IHI=2 FOR BESSEL FROM ORIGIN;
+CCC DEPENDING ON IHI, IPAMO=0 GIVES H OR I, IPAMO=1 GIVES K OR L
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ COMMON/C4/LITPO,LITPOS,LMTPO,LMTPOS,LI,NLIM,LE,NLEM,NSPH
+ COMMON/C6/RAC3J(47)
+ COMPLEX*16 CSUM,CC0,UIM,CFUN
+ CC0=(0.0D0,0.0D0)
+ GHIT=CC0
+ IF(IHI.NE.2)GO TO 10
+ C0=0.0D0
+ IF(RXX(NBL).NE.C0.OR.RYY(NBL).NE.C0.OR.RZZ(NBL).NE.C0)GO TO 10
+ IF(IPAMO.NE.0)RETURN
+ IF(L1.EQ.L2.AND.M1.EQ.M2)GHIT=(1.0D0,0.0D0)
+ RETURN
+ 10 L1MP=L1-IPAMO
+ L1PO=L1+1
+ M1MM2=M1-M2
+ M1MM2M=IABS(M1MM2)+1
+ LMINPO=IABS(L2-L1MP)+1
+ LMAXPO=L2+L1MP+1
+ I3J0IN=IND3J(L1MP+1,L2)
+ ILIN=-1
+ IF((M1MM2M.GT.LMINPO).AND.(MOD(M1MM2M-LMINPO,2).NE.0))ILIN=0
+ ISN=1
+ IF(MOD(M1,2).NE.0)ISN=-ISN
+ IF(MOD(LMINPO,2).NE.0)GO TO 12
+ ISN=-ISN
+ IF(L2.GT.L1MP)ISN=-ISN
+ 12 NBLMO=NBL-1
+ IF(IHI.EQ.2)GO TO 50
+ NBHJ=NBLMO*LITPO
+ NBY=NBLMO*LITPOS
+ IF(IHI.EQ.1)GO TO 30
+ DO 24 JM=1,3
+ CSUM=CC0
+ MU=JM-2
+ MUPM1=MU+M1
+ MUPM2=MU+M2
+ IF(MUPM1.LT.-L1MP.OR.MUPM1.GT.L1MP.OR.MUPM2.LT.-L2.OR.MUPM2.GT.L2)
+ 1GO TO 24
+ JSN=-ISN
+ IF(MU.EQ.0)JSN=ISN
+ CR=CGEV(IPAMO,MU,L1,M1)*CGEV(0,MU,L2,M2)
+ I3J0=I3J0IN
+ IF((MUPM1.NE.0).OR.(MUPM2.NE.0))GO TO 16
+ DO 14 LT=LMINPO,LMAXPO,2
+ I3J0=I3J0+1
+ L3=LT-1
+ NY=L3*L3+LT
+ AORS=L3+LT
+ F3J=(V3J0(I3J0)*V3J0(I3J0)*DSQRT(AORS))*JSN
+ CFUN=(VH(NBHJ+LT)*VYHJ(NBY+NY))*F3J
+ CSUM=CSUM+CFUN
+ 14 JSN=-JSN
+ GO TO 22
+ 16 CALL R3JJR(L1MP,L2,-MUPM1,MUPM2)
+ IL=ILIN
+ DO 20 LT=LMINPO,LMAXPO,2
+ I3J0=I3J0+1
+ IF(M1MM2M.GT.LT)GO TO 20
+ IL=IL+2
+ L3=LT-1
+ NY=L3*L3+LT+M1MM2
+ AORS=L3+LT
+ F3J=(RAC3J(IL)*V3J0(I3J0)*DSQRT(AORS))*JSN
+ CFUN=(VH(NBHJ+LT)*VYHJ(NBY+NY))*F3J
+ CSUM=CSUM+CFUN
+ 20 JSN=-JSN
+ 22 CSUM=CSUM*CR
+ GHIT=GHIT+CSUM
+ 24 CONTINUE
+ GO TO 70
+ 30 DO 44 JM=1,3
+ CSUM=CC0
+ MU=JM-2
+ MUPM1=MU+M1
+ MUPM2=MU+M2
+ IF(MUPM1.LT.-L1MP.OR.MUPM1.GT.L1MP.OR.MUPM2.LT.-L2.OR.MUPM2.GT.L2)
+ 1GO TO 44
+ JSN=-ISN
+ IF(MU.EQ.0)JSN=ISN
+ CR=CGEV(IPAMO,MU,L1,M1)*CGEV(0,MU,L2,M2)
+ I3J0=I3J0IN
+ IF((MUPM1.NE.0).OR.(MUPM2.NE.0))GO TO 36
+ DO 34 LT=LMINPO,LMAXPO,2
+ I3J0=I3J0+1
+ L3=LT-1
+ NY=L3*L3+LT
+ AORS=L3+LT
+ F3J=(V3J0(I3J0)*V3J0(I3J0)*DSQRT(AORS))*JSN
+ CFUN=(VJ(NBHJ+LT)*VYHJ(NBY+NY))*F3J
+ CSUM=CSUM+CFUN
+ 34 JSN=-JSN
+ GO TO 42
+ 36 CALL R3JJR(L1MP,L2,-MUPM1,MUPM2)
+ IL=ILIN
+ DO 40 LT=LMINPO,LMAXPO,2
+ I3J0=I3J0+1
+ IF(M1MM2M.GT.LT)GO TO 40
+ IL=IL+2
+ L3=LT-1
+ NY=L3*L3+LT+M1MM2
+ AORS=L3+LT
+ F3J=(RAC3J(IL)*V3J0(I3J0)*DSQRT(AORS))*JSN
+ CFUN=(VJ(NBHJ+LT)*VYHJ(NBY+NY))*F3J
+ CSUM=CSUM+CFUN
+ 40 JSN=-JSN
+ 42 CSUM=CSUM*CR
+ GHIT=GHIT+CSUM
+ 44 CONTINUE
+ GO TO 70
+ 50 NBHJ=NBLMO*LMTPO
+ NBY=NBLMO*LMTPOS
+ DO 64 JM=1,3
+ CSUM=CC0
+ MU=JM-2
+ MUPM1=MU+M1
+ MUPM2=MU+M2
+ IF(MUPM1.LT.-L1MP.OR.MUPM1.GT.L1MP.OR.MUPM2.LT.-L2.OR.MUPM2.GT.L2)
+ 1GO TO 64
+ JSN=-ISN
+ IF(MU.EQ.0)JSN=ISN
+ CR=CGEV(IPAMO,MU,L1,M1)*CGEV(0,MU,L2,M2)
+ I3J0=I3J0IN
+ IF((MUPM1.NE.0).OR.(MUPM2.NE.0))GO TO 56
+ DO 54 LT=LMINPO,LMAXPO,2
+ I3J0=I3J0+1
+ L3=LT-1
+ NY=L3*L3+LT
+ AORS=L3+LT
+ F3J=(V3J0(I3J0)*V3J0(I3J0)*DSQRT(AORS))*JSN
+ CFUN=(VJ0(NBHJ+LT)*VYJ0(NBY+NY))*F3J
+ CSUM=CSUM+CFUN
+ 54 JSN=-JSN
+ GO TO 62
+ 56 CALL R3JJR(L1MP,L2,-MUPM1,MUPM2)
+ IL=ILIN
+ DO 60 LT=LMINPO,LMAXPO,2
+ I3J0=I3J0+1
+ IF(M1MM2M.GT.LT)GO TO 60
+ IL=IL+2
+ L3=LT-1
+ NY=L3*L3+LT+M1MM2
+ AORS=L3+LT
+ F3J=(RAC3J(IL)*V3J0(I3J0)*DSQRT(AORS))*JSN
+ CFUN=(VJ0(NBHJ+LT)*VYJ0(NBY+NY))*F3J
+ CSUM=CSUM+CFUN
+ 60 JSN=-JSN
+ 62 CSUM=CSUM*CR
+ GHIT=GHIT+CSUM
+ 64 CONTINUE
+ 70 PI4=DACOS(0.0D0)*8.0D0
+ IF(IPAMO.EQ.1)GO TO 90
+ CR=PI4*(L1+L1PO)*(L2+L2+1)
+ CR=DSQRT(CR)
+ GHIT=GHIT*CR
+ RETURN
+ 90 UIM=(0.0D0,1.0D0)
+ CR=L1PO
+ CR=(PI4*(L1+L1MP)*(L1+L1PO)*(L2+L2+1))/CR
+ CR=DSQRT(CR)
+ GHIT=GHIT*(CR*UIM)
+ RETURN
+ END
+ REAL*8 FUNCTION CGEV(IPAMO,MU,L,M)
+CCC CGEV(IPAMO,MU,L,M)=CLGO(1,L-IPAMO,L;-MU,MU+M,M)
+ REAL*8 XD,XN
+ IF(IPAMO.NE.0)GO TO 30
+ IF((M.NE.0).OR.(MU.NE.0))GO TO 10
+ CGEV=0.0D0
+ RETURN
+ 10 IF(MU.EQ.0)GO TO 20
+ XD=(L+1)*L*2
+ IF(MU.GT.0)GO TO 15
+ XN=(L+M)*(L-M+1)
+ CGEV=DSQRT(XN/XD)
+ RETURN
+ 15 XN=(L-M)*(L+M+1)
+ CGEV=-DSQRT(XN/XD)
+ RETURN
+ 20 XD=(L+1)*L
+ XN=-M
+ CGEV=XN/DSQRT(XD)
+ RETURN
+ 30 XD=(L*2-1)*L*2
+ IF(MU)35,40,45
+ 35 XN=(L-1+M)*(L+M)
+ GO TO 50
+ 40 XN=(L-M)*(L+M)*2
+ GO TO 50
+ 45 XN=(L-1-M)*(L-M)
+ 50 CGEV=DSQRT(XN/XD)
+ RETURN
+ END
+ SUBROUTINE R3J000(J2,J3)
+CCC 3j(J,J2,J3;0,0,0)
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMMON/C6/RAC3J(47)
+ ONE=1.0D0
+ JMX=J3+J2
+ IF(JMX.GT.0)GO TO 10
+ RAC3J(1)=ONE
+ RETURN
+ 10 JMN=IABS(J3-J2)
+ NJMO=(JMX-JMN)/2
+ JF=JMX+JMX+1
+ ISN=1
+ IF(MOD(JMN,2).NE.0)ISN=-1
+ IF(NJMO.GT.0)GO TO 15
+ SJ=JF
+ CNR=(ONE/DSQRT(SJ))*ISN
+ RAC3J(1)=CNR
+ RETURN
+ 15 SJR=JF
+ JMXPOS=(JMX+1)*(JMX+1)
+ JMNS=JMN*JMN
+ J1MO=JMX-1
+ J1S=(J1MO+1)*(J1MO+1)
+ CJ=(JMXPOS-J1S)*(J1S-JMNS)
+ CJ=DSQRT(CJ)
+ J1MOS=J1MO*J1MO
+ CJMO=(JMXPOS-J1MOS)*(J1MOS-JMNS)
+ CJMO=DSQRT(CJMO)
+ IF(NJMO.GT.1)GO TO 20
+ RAC3J(1)=-CJ/CJMO
+ SJ=SJR+(RAC3J(1)*RAC3J(1))*(JF-4)
+ CNR=(ONE/DSQRT(SJ))*ISN
+ RAC3J(2)=CNR
+ RAC3J(1)=RAC3J(1)*CNR
+ RETURN
+ 20 NJ=NJMO+1
+ NMAT=(NJ+1)/2
+ RAC3J(NJ)=ONE
+ RAC3J(NJMO)=-CJ/CJMO
+ IF(NMAT.EQ.NJMO)GO TO 50
+ NBR=NJMO-NMAT
+ DO 45 IBR=1,NBR
+ IRR=NJ-IBR
+ JF=JF-4
+ J1MO=J1MO-2
+ J1S=(J1MO+1)*(J1MO+1)
+ CJ=(JMXPOS-J1S)*(J1S-JMNS)
+ CJ=DSQRT(CJ)
+ J1MOS=J1MO*J1MO
+ CJMO=(JMXPOS-J1MOS)*(J1MOS-JMNS)
+ CJMO=DSQRT(CJMO)
+ RAC3J(IRR-1)=RAC3J(IRR)*(-CJ/CJMO)
+ 45 SJR=SJR+(RAC3J(IRR)*RAC3J(IRR))*JF
+ 50 RACMAT=RAC3J(NMAT)
+ SJR=SJR+(RACMAT*RACMAT)*(JF-4)
+ RAC3J(1)=ONE
+ JF=JMN+JMN+1
+ SJL=JF
+ J1PT=JMN+2
+ J1POS=(J1PT-1)*(J1PT-1)
+ CJPO=(JMXPOS-J1POS)*(J1POS-JMNS)
+ CJPO=DSQRT(CJPO)
+ J1PTS=J1PT*J1PT
+ CJPT=(JMXPOS-J1PTS)*(J1PTS-JMNS)
+ CJPT=DSQRT(CJPT)
+ RAC3J(2)=-CJPO/CJPT
+ NMATMO=NMAT-1
+ IF(NMATMO.LT.2)GO TO 75
+ DO 70 IRL=2,NMATMO
+ JF=JF+4
+ J1PT=J1PT+2
+ J1POS=(J1PT-1)*(J1PT-1)
+ CJPO=(JMXPOS-J1POS)*(J1POS-JMNS)
+ CJPO=DSQRT(CJPO)
+ J1PTS=J1PT*J1PT
+ CJPT=(JMXPOS-J1PTS)*(J1PTS-JMNS)
+ CJPT=DSQRT(CJPT)
+ RAC3J(IRL+1)=RAC3J(IRL)*(-CJPO/CJPT)
+ 70 SJL=SJL+(RAC3J(IRL)*RAC3J(IRL))*JF
+ 75 RATRAC=RACMAT/RAC3J(NMAT)
+ RATS=RATRAC*RATRAC
+ SJ=SJR+SJL*RATS
+ RAC3J(NMAT)=RACMAT
+ CNR=(ONE/DSQRT(SJ))*ISN
+ DO 80 IRR=NMAT,NJ
+ 80 RAC3J(IRR)=RAC3J(IRR)*CNR
+ CNL=CNR*RATRAC
+ DO 85 IRL=1,NMATMO
+ 85 RAC3J(IRL)=RAC3J(IRL)*CNL
+ RETURN
+ END
+ SUBROUTINE R3JJR(J2,J3,M2,M3)
+CCC 3j(J,J2,J3;-M2-M3,M2,M3)
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMMON/C6/RAC3J(47)
+ ONE=1.0D0
+ JMX=J3+J2
+ JDF=J3-J2
+ M1=-M2-M3
+ JMN=MAX0(IABS(JDF),IABS(M1))
+ NJMO=JMX-JMN
+ JF=JMX+JMX+1
+ ISN=1
+ IF(MOD(JDF+M1,2).NE.0)ISN=-1
+ IF(NJMO.GT.0)GO TO 15
+ SJ=JF
+ CNR=(ONE/DSQRT(SJ))*ISN
+ RAC3J(1)=CNR
+ RETURN
+ 15 SJT=ONE
+ SJR=JF
+ JSMPOS=(JMX+1)*(JMX+1)
+ JDFS=JDF*JDF
+ M1S=M1*M1
+ MDF=M3-M2
+ IDJC=M1*(J3*(J3+1)-J2*(J2+1))
+ J1=JMX
+ J1S=J1*J1
+ J1PO=J1+1
+ CCJ=(J1S-JDFS)*(J1S-M1S)
+ CJ=CCJ*(JSMPOS-J1S)
+ CJ=DSQRT(CJ)
+ DJ=JF*(J1*J1PO*MDF+IDJC)
+ IF(NJMO.GT.1)GO TO 20
+ RAC3J(1)=-DJ/(CJ*J1PO)
+ SJ=SJR+(RAC3J(1)*RAC3J(1))*(JF-2)
+ CNR=(ONE/DSQRT(SJ))*ISN
+ RAC3J(2)=CNR
+ RAC3J(1)=RAC3J(1)*CNR
+ RETURN
+ 20 NJ=NJMO+1
+ NMAT=(NJ+1)/2
+ RAC3J(NJ)=ONE
+ RAC3J(NJMO)=-DJ/(CJ*J1PO)
+ IF(NMAT.EQ.NJMO)GO TO 50
+ NBR=NJMO-NMAT
+ DO 45 IBR=1,NBR
+ IRR=NJ-IBR
+ JF=JF-2
+ J1=J1-1
+ J1S=J1*J1
+ J1PO=J1+1
+ CJP=CJ
+ CCJ=(J1S-JDFS)*(J1S-M1S)
+ CJ=CCJ*(JSMPOS-J1S)
+ CJ=DSQRT(CJ)
+ SJT=RAC3J(IRR)*RAC3J(IRR)
+ DJ=JF*(J1*J1PO*MDF+IDJC)
+ RAC3J(IRR-1)=-(RAC3J(IRR)*DJ+RAC3J(IRR+1)*(CJP*J1))/(CJ*J1PO)
+ 45 SJR=SJR+SJT*JF
+ 50 OSJT=SJT
+ SJT=RAC3J(NMAT)*RAC3J(NMAT)
+ IF(SJT.LT.OSJT)GO TO 55
+ SJR=SJR+SJT*(JF-2)
+ GO TO 60
+ 55 NMAT=NMAT+1
+ 60 RACMAT=RAC3J(NMAT)
+ RAC3J(1)=ONE
+ JF=JMN+JMN+1
+ SJL=JF
+ J1=JMN
+ IF(J1.EQ.0)GO TO 62
+ J1PO=J1+1
+ J1POS=J1PO*J1PO
+ CCJP=(J1POS-JDFS)*(J1POS-M1S)
+ CJP=CCJP*(JSMPOS-J1POS)
+ CJP=DSQRT(CJP)
+ DJ=JF*(J1*J1PO*MDF+IDJC)
+ RAC3J(2)=-DJ/(CJP*J1)
+ GO TO 63
+ 62 CJP=JSMPOS-1
+ CJP=DSQRT(CJP)
+ DJ=MDF
+ RAC3J(2)=-DJ/CJP
+ 63 NMATMO=NMAT-1
+ IF(NMATMO.LT.2)GO TO 75
+ DO 70 IRL=2,NMATMO
+ JF=JF+2
+ J1=J1+1
+ J1PO=J1+1
+ J1POS=J1PO*J1PO
+ CJ=CJP
+ CCJP=(J1POS-JDFS)*(J1POS-M1S)
+ CJP=CCJP*(JSMPOS-J1POS)
+ CJP=DSQRT(CJP)
+ SJT=RAC3J(IRL)*RAC3J(IRL)
+ DJ=JF*(J1*J1PO*MDF+IDJC)
+ RAC3J(IRL+1)=-(RAC3J(IRL)*DJ+RAC3J(IRL-1)*(CJ*J1PO))/(CJP*J1)
+ 70 SJL=SJL+SJT*JF
+ 75 RATRAC=RACMAT/RAC3J(NMAT)
+ RATS=RATRAC*RATRAC
+ SJ=SJR+SJL*RATS
+ RAC3J(NMAT)=RACMAT
+ CNR=(ONE/DSQRT(SJ))*ISN
+ DO 80 IRR=NMAT,NJ
+ 80 RAC3J(IRR)=RAC3J(IRR)*CNR
+ CNL=CNR*RATRAC
+ DO 85 IRL=1,NMATMO
+ 85 RAC3J(IRL)=RAC3J(IRL)*CNL
+ RETURN
+ END
+ SUBROUTINE R3JMR(J1,J2,J3,M1)
+CCC 3j(J1,J2,J3;M1,M,-M1-M)
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMMON/C6/RAC3J(47)
+ ONE=1.0D0
+ MMX=MIN0(J2,J3-M1)
+ MMN=MAX0(-J2,-J3-M1)
+ NMMO=MMX-MMN
+ J1PO=J1+1
+ J1TPO=J1PO+J1
+ ISN=1
+ IF(MOD(J2-J3-M1,2).NE.0)ISN=-1
+ IF(NMMO.GT.0)GO TO 15
+ SJ=J1TPO
+ CNR=(ONE/DSQRT(SJ))*ISN
+ RAC3J(1)=CNR
+ RETURN
+ 15 J1S=J1*J1PO
+ J2PO=J2+1
+ J2S=J2*J2PO
+ J3PO=J3+1
+ J3S=J3*J3PO
+ ID=J1S-J2S-J3S
+ M2=MMX
+ M3=M1+M2
+ CM=(J2PO-M2)*(J2+M2)*(J3PO-M3)*(J3+M3)
+ CM=DSQRT(CM)
+ DM=ID+M2*M3*2
+ IF(NMMO.GT.1)GO TO 20
+ RAC3J(1)=DM/CM
+ SJ=(ONE+RAC3J(1)*RAC3J(1))*J1TPO
+ CNR=(ONE/DSQRT(SJ))*ISN
+ RAC3J(2)=CNR
+ RAC3J(1)=RAC3J(1)*CNR
+ RETURN
+ 20 NM=NMMO+1
+ NMAT=(NM+1)/2
+ RAC3J(NM)=ONE
+ RAC3J(NMMO)=DM/CM
+ SJT=ONE
+ SJR=ONE
+ IF(NMAT.EQ.NMMO)GO TO 50
+ NBR=NMMO-NMAT
+ DO 45 IBR=1,NBR
+ IRR=NM-IBR
+ M2=M2-1
+ M3=M1+M2
+ CMP=CM
+ CM=(J2PO-M2)*(J2+M2)*(J3PO-M3)*(J3+M3)
+ CM=DSQRT(CM)
+ SJT=RAC3J(IRR)*RAC3J(IRR)
+ DM=ID+M2*M3*2
+ RAC3J(IRR-1)=(RAC3J(IRR)*DM-RAC3J(IRR+1)*CMP)/CM
+ 45 SJR=SJR+SJT
+ 50 OSJT=SJT
+ SJT=RAC3J(NMAT)*RAC3J(NMAT)
+ IF(SJT.LT.OSJT)GO TO 55
+ SJR=SJR+SJT
+ GO TO 60
+ 55 NMAT=NMAT+1
+ 60 RACMAT=RAC3J(NMAT)
+ RAC3J(1)=ONE
+ M2=MMN
+ M3=M1+M2
+ CMP=(J2-M2)*(J2PO+M2)*(J3-M3)*(J3PO+M3)
+ CMP=DSQRT(CMP)
+ DM=ID+M2*M3*2
+ RAC3J(2)=DM/CMP
+ SJL=ONE
+ NMATMO=NMAT-1
+ IF(NMATMO.LT.2)GO TO 75
+ DO 70 IRL=2,NMATMO
+ M2=M2+1
+ M3=M1+M2
+ CM=CMP
+ CMP=(J2-M2)*(J2PO+M2)*(J3-M3)*(J3PO+M3)
+ CMP=DSQRT(CMP)
+ SJT=RAC3J(IRL)*RAC3J(IRL)
+ DM=ID+M2*M3*2
+ RAC3J(IRL+1)=(RAC3J(IRL)*DM-RAC3J(IRL-1)*CM)/CMP
+ 70 SJL=SJL+SJT
+ 75 RATRAC=RACMAT/RAC3J(NMAT)
+ RATS=RATRAC*RATRAC
+ SJ=(SJR+SJL*RATS)*J1TPO
+ RAC3J(NMAT)=RACMAT
+ CNR=(ONE/DSQRT(SJ))*ISN
+ DO 80 IRR=NMAT,NM
+ 80 RAC3J(IRR)=RAC3J(IRR)*CNR
+ CNL=CNR*RATRAC
+ DO 85 IRL=1,NMATMO
+ 85 RAC3J(IRL)=RAC3J(IRL)*CNL
+ RETURN
+ END
+ SUBROUTINE DME(LI,I,NPNT,NPNTTS,VK,EXDC,EXRI,JER,LCALC,ARG)
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC DIMENSION CFJ(LIPT),RFJ(LIPT),RFN(LIPT),
+CCC 1FBI(LIPT),FB(LIPT),FN(LIPT),
+CCC 2RMF(LI),DRMF(LI),REF(LI),DREF(LI)
+ DIMENSION CFJ(25),RFJ(25),RFN(25),
+ 1FBI(25),FB(25),FN(25),RMF(23),DRMF(23),REF(23),DREF(23)
+ COMPLEX*16 CFJ,FBI,FB,FN,RMF,DRMF,REF,DREF
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ COMMON/C2/RIS(999),DLRI(999),DC0(5),VKT(8),VSZ(8)
+ COMPLEX*16 RIS,DLRI,DC0,VKT
+ COMPLEX*16 DFBI,DFB,DFN,CCNA,CCNB,CCNC,CCND,
+ 1Y1,DY1,Y2,DY2,ARIN,ARG,CRI,UIM
+ JER=0
+ UIM=(0.0D0,1.0D0)
+ NSTP=NPNT-1
+ NSTPTS=NPNTTS-1
+ LIPO=LI+1
+ LIPT=LI+2
+ SZ=VK*ROS(I)
+ VSZ(I)=SZ
+ VKR1=VK*RC(I,1)
+ NSH=NSHL(I)
+ VKT(I)=CDSQRT(DC0(1))
+ ARG=VKR1*VKT(I)
+ ARIN=ARG
+ IF(DIMAG(ARG).EQ.0.0D0)GO TO 26
+ CALL CBF(LIPO,ARG,LCALC,CFJ)
+ IF(LCALC.GE.LIPO)GO TO 22
+ JER=5
+ RETURN
+ 22 DO 24 J=1,LIPT
+ 24 FBI(J)=CFJ(J)
+ GO TO 32
+ 26 RARG=DREAL(ARG)
+ CALL RBF(LIPO,RARG,LCALC,RFJ)
+ IF(LCALC.GE.LIPO)GO TO 28
+ JER=5
+ RETURN
+ 28 DO 30 J=1,LIPT
+ 30 FBI(J)=RFJ(J)
+ 32 AREX=SZ*EXRI
+ ARG=AREX
+ RARG=AREX
+ CALL RBF(LIPO,RARG,LCALC,RFJ)
+ IF(LCALC.GE.LIPO)GO TO 40
+ JER=7
+ RETURN
+ 40 CALL RNF(LIPO,RARG,LCALC,RFN)
+ IF(LCALC.GE.LIPO)GO TO 42
+ JER=8
+ RETURN
+ 42 DO 43 J=1,LIPT
+ FB(J)=RFJ(J)
+ 43 FN(J)=RFN(J)
+ IF(NSH.GT.1)GO TO 65
+ CRI=DC0(1)/EXDC
+ DO 60 L=1,LI
+ LPO=L+1
+ LTPO=LPO+L
+ LPT=LPO+1
+ DFBI=(L*FBI(L)-LPO*FBI(LPT))*ARIN+FBI(LPO)*LTPO
+ DFB=(L*FB(L)-LPO*FB(LPT))*AREX+FB(LPO)*LTPO
+ DFN=(L*FN(L)-LPO*FN(LPT))*AREX+FN(LPO)*LTPO
+ CCNA=FBI(LPO)*DFN
+ CCNB=FN(LPO)*DFBI
+ CCNC=FBI(LPO)*DFB
+ CCND=FB(LPO)*DFBI
+ RMI(L,I)=1.0D0+UIM*(CCNA-CCNB)/(CCNC-CCND)
+ 60 REI(L,I)=1.0D0+UIM*(CRI*CCNA-CCNB)/(CRI*CCNC-CCND)
+ RETURN
+ 65 DO 80 L=1,LI
+ LPO=L+1
+ LTPO=LPO+L
+ LPT=LPO+1
+ DLTPO=LTPO
+cccccccccccccccccccccc
+ Y1=FBI(LPO)
+ DY1=(L*FBI(L)-LPO*FBI(LPT))*VKT(I)/DLTPO
+cccccccccccccccccccccc
+ Y2=Y1
+ DY2=DY1
+ IC=1
+ DO 76 NS=2,NSH
+ NSMO=NS-1
+ VKR=VK*RC(I,NSMO)
+ IF(MOD(NS,2).EQ.0)GO TO 70
+ IC=IC+1
+ STEP=NSTP
+ STEP=VK*(RC(I,NS)-RC(I,NSMO))/STEP
+ ARG=DC0(IC)
+ CALL RKC(NSTP,STEP,ARG,VKR,LPO,Y1,Y2,DY1,DY2)
+ GO TO 76
+ 70 CALL DIEL(NSTPTS,NSMO,I,IC,VK)
+ STEPTS=NSTPTS
+ STEPTS=VK*(RC(I,NS)-RC(I,NSMO))/STEPTS
+ CALL RKT(NSTPTS,STEPTS,VKR,LPO,Y1,Y2,DY1,DY2)
+ 76 CONTINUE
+ RMF(L)=Y1*SZ
+ DRMF(L)=DY1*SZ+Y1
+ REF(L)=Y2*SZ
+ 80 DREF(L)=DY2*SZ+Y2
+ CRI=(1.0D0,0.0D0)
+ IF(MOD(NSH,2).NE.0)CRI=DC0(IC)/EXDC
+ DO 90 L=1,LI
+ LPO=L+1
+ LTPO=LPO+L
+ LPT=LPO+1
+ DFB=(L*FB(L)-LPO*FB(LPT))*AREX+FB(LPO)*LTPO
+ DFN=(L*FN(L)-LPO*FN(LPT))*AREX+FN(LPO)*LTPO
+ CCNA=RMF(L)*DFN
+ CCNB=DRMF(L)*FN(LPO)*SZ*LTPO
+ CCNC=RMF(L)*DFB
+ CCND=DRMF(L)*FB(LPO)*SZ*LTPO
+ RMI(L,I)=1.0D0+UIM*(CCNA-CCNB)/(CCNC-CCND)
+ CCNA=REF(L)*DFN
+ CCNB=DREF(L)*FN(LPO)*SZ*LTPO
+ CCNC=REF(L)*DFB
+ CCND=DREF(L)*FB(LPO)*SZ*LTPO
+ 90 REI(L,I)=1.0D0+UIM*(CRI*CCNA-CCNB)/(CRI*CCNC-CCND)
+ RETURN
+ END
+ SUBROUTINE RKT(NPNTMO,STEP,X,LPO,Y1,Y2,DY1,DY2)
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMMON/C2/RIS(999),DLRI(999),DC0(5),VKT(8),VSZ(8)
+ COMPLEX*16 RIS,DLRI,DC0,VKT
+ COMPLEX*16 Y1,DY1,Y2,DY2,CY1,CDY1,C11,
+ 1CY23,CDY23,YC2,C12,C13,CY4,CDY4,YY,C14,C21,C22,C23,C24
+ HSTEP=.5D0*STEP
+ CL=LPO*(LPO-1)
+ DO 60 IPNT=1,NPNTMO
+ JPNT=IPNT+IPNT-1
+ CY1=CL/(X*X)-RIS(JPNT)
+ CDY1=-2.0D0/X
+ C11=(CY1*Y1+CDY1*DY1)*STEP
+ XH=X+HSTEP
+ JPNTPO=JPNT+1
+ CY23=CL/(XH*XH)-RIS(JPNTPO)
+ CDY23=-2.0D0/XH
+ YC2=Y1+DY1*HSTEP
+ C12=(CY23*YC2+CDY23*(DY1+.5D0*C11))*STEP
+ C13=(CY23*(YC2+.25D0*C11*STEP)+CDY23*(DY1+.5D0*C12))*STEP
+ XN=X+STEP
+ JPNTPT=JPNT+2
+ CY4=CL/(XN*XN)-RIS(JPNTPT)
+ CDY4=-2.0D0/XN
+ YY=Y1+DY1*STEP
+ C14=(CY4*(YY+.5D0*C12*STEP)+CDY4*(DY1+C13))*STEP
+ Y1=YY+(C11+C12+C13)*STEP/6.0D0
+ DY1=DY1+(.5D0*C11+C12+C13+.5D0*C14)/3.0D0
+ CY1=CY1-CDY1*DLRI(JPNT)
+ CDY1=CDY1+2.0D0*DLRI(JPNT)
+ C21=(CY1*Y2+CDY1*DY2)*STEP
+ CY23=CY23-CDY23*DLRI(JPNTPO)
+ CDY23=CDY23+2.0D0*DLRI(JPNTPO)
+ YC2=Y2+DY2*HSTEP
+ C22=(CY23*YC2+CDY23*(DY2+.5D0*C21))*STEP
+ C23=(CY23*(YC2+.25D0*C21*STEP)+CDY23*(DY2+.5D0*C22))*STEP
+ CY4=CY4-CDY4*DLRI(JPNTPT)
+ CDY4=CDY4+2.0D0*DLRI(JPNTPT)
+ YY=Y2+DY2*STEP
+ C24=(CY4*(YC2+.5D0*C22*STEP)+CDY4*(DY2+C23))*STEP
+ Y2=YY+(C21+C22+C23)*STEP/6.0D0
+ DY2=DY2+(.5D0*C21+C22+C23+.5D0*C24)/3.0D0
+ 60 X=XN
+ RETURN
+ END
+ SUBROUTINE RKC(NPNTMO,STEP,DCC,X,LPO,Y1,Y2,DY1,DY2)
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMPLEX*16 Y1,DY1,Y2,DY2,CY1,CDY1,C11,
+ 1CY23,YC2,C12,C13,CY4,YY,C14,C21,C22,C23,C24,DCC
+ HSTEP=.5D0*STEP
+ CL=LPO*(LPO-1)
+ DO 60 IPNT=1,NPNTMO
+ CY1=CL/(X*X)-DCC
+ CDY1=-2.0D0/X
+ C11=(CY1*Y1+CDY1*DY1)*STEP
+ XH=X+HSTEP
+ CY23=CL/(XH*XH)-DCC
+ CDY23=-2.0D0/XH
+ YC2=Y1+DY1*HSTEP
+ C12=(CY23*YC2+CDY23*(DY1+.5D0*C11))*STEP
+ C13=(CY23*(YC2+.25D0*C11*STEP)+CDY23*(DY1+.5D0*C12))*STEP
+ XN=X+STEP
+ CY4=CL/(XN*XN)-DCC
+ CDY4=-2.0D0/XN
+ YY=Y1+DY1*STEP
+ C14=(CY4*(YY+.5D0*C12*STEP)+CDY4*(DY1+C13))*STEP
+ Y1=YY+(C11+C12+C13)*STEP/6.0D0
+ DY1=DY1+(.5D0*C11+C12+C13+.5D0*C14)/3.0D0
+ C21=(CY1*Y2+CDY1*DY2)*STEP
+ YC2=Y2+DY2*HSTEP
+ C22=(CY23*YC2+CDY23*(DY2+.5D0*C21))*STEP
+ C23=(CY23*(YC2+.25D0*C21*STEP)+CDY23*(DY2+.5D0*C22))*STEP
+ YY=Y2+DY2*STEP
+ C24=(CY4*(YC2+.5D0*C22*STEP)+CDY4*(DY2+C23))*STEP
+ Y2=YY+(C21+C22+C23)*STEP/6.0D0
+ DY2=DY2+(.5D0*C21+C22+C23+.5D0*C24)/3.0D0
+ 60 X=XN
+ RETURN
+ END
+ SUBROUTINE DIEL(NPNTMO,NS,I,IC,VK)
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMMON/C1/VH(1316),VJ0(376),VYHJ(61852),VYJ0(17672),VJ(1),
+ 1RMI(23,8),REI(23,8),W(1150,4),AM0M(1150,1150),
+ 2FSAS(8),SAS(8,2,2),VINTS(8,16),VINTT(16),
+ 3FSAC(2,2),SAC(2,2),FSACM(2,2),
+ 4VINT(16),VINTM(16),SCSCP(2),ECSCP(2),SCSCPM(2),ECSCPM(2),
+ 5V3J0(4876),SCSC(2),ECSC(2),SCSCM(2),ECSCM(2),
+ 6SSCS(8),SEXS(8),SABS(8),SQSCS(8),SQEXS(8),SQABS(8),
+ 7GCSV(8),RXX(8),RYY(8),RZZ(8),ROS(8),RC(8,8),
+ 8IND3J(24,23),IOG(8),NSHL(8)
+ COMPLEX*16 VH,VJ0,VYHJ,VYJ0,VJ,RMI,REI,W,AM0M,FSAS,SAS,
+ 1VINTS,VINTT,FSAC,SAC,FSACM,VINT,VINTM,SCSCP,ECSCP,SCSCPM,ECSCPM
+ COMMON/C2/RIS(999),DLRI(999),DC0(5),VKT(8),VSZ(8)
+ COMPLEX*16 RIS,DLRI,DC0,VKT
+ COMPLEX*16 DEL
+ DIF=RC(I,NS+1)-RC(I,NS)
+ HSTEP=NPNTMO
+ HSTEP=.5D0*DIF/HSTEP
+ RR=RC(I,NS)
+ DEL=DC0(IC+1)-DC0(IC)
+ KPNT=NPNTMO+NPNTMO
+ RIS(KPNT+1)=DC0(IC+1)
+ DLRI(KPNT+1)=(0.0D0,0.0D0)
+ DO 90 NP=1,KPNT
+ FF=(RR-RC(I,NS))/DIF
+ RIS(NP)=DEL*FF*FF*(-2.0D0*FF+3.0D0)+DC0(IC)
+ DLRI(NP)=3.0D0*DEL*FF*(1.0D0-FF)/(DIF*VK*RIS(NP))
+ 90 RR=RR+HSTEP
+ RETURN
+ END
+ SUBROUTINE RBF(N,X,NM,SJ)
+C
+C FROM SPHJ OF LIBRARY specfun
+C
+C =======================================================
+C Purpose: Compute spherical Bessel functions j
+C Input : X --- Argument of j
+C N --- Order of j ( N = 0,1,2,... )
+C Output: SJ(N+1) --- j
+C NM --- Highest order computed
+C Routines called:
+C MSTA1 and MSTA2 for computing the starting
+C point for backward recurrence
+C =======================================================
+C
+ IMPLICIT REAL*8 (A-H,O-Z)
+ DIMENSION SJ(N+1)
+ A0=DABS(X)
+ NM=N
+ IF(A0.LT.1.0D-60)THEN
+ DO K=2,N+1
+ SJ(K)=0.0D0
+ ENDDO
+ SJ(1)=1.0D0
+ RETURN
+ ENDIF
+ SJ(1)=DSIN(X)/X
+ IF(N.EQ.0)RETURN
+ SJ(2)=(SJ(1)-DCOS(X))/X
+ IF(N.EQ.1)RETURN
+ SA=SJ(1)
+ SB=SJ(2)
+ M=MSTA1(A0,200)
+ IF(M.LT.N)THEN
+ NM=M
+ ELSE
+ M=MSTA2(A0,N,15)
+ ENDIF
+ F0=0.0D0
+ F1=1.0D0-100
+ DO K=M,0,-1
+ F=(2.0D0*K+3.0D0)*F1/X-F0
+ IF(K.LE.NM)SJ(K+1)=F
+ F0=F1
+ F1=F
+ ENDDO
+ IF(DABS(SA).GT.DABS(SB))CS=SA/F
+ IF(DABS(SA).LE.DABS(SB))CS=SB/F0
+ DO K=1,NM+1
+ SJ(K)=CS*SJ(K)
+ ENDDO
+ END
+ SUBROUTINE CBF(N,Z,NM,CSJ)
+C
+C FROM CSPHJY OF LIBRARY specfun
+C
+C ==========================================================
+C Purpose: Compute spherical Bessel functions j
+C Input : Z --- Complex argument of j
+C N --- Order of j ( N = 0,1,2,... )
+C Output: CSJ(N+1) --- j
+C NM --- Highest order computed
+C Routines called:
+C MSTA1 and MSTA2 for computing the starting
+C point for backward recurrence
+C ==========================================================
+C
+ IMPLICIT COMPLEX*16 (C,Z)
+ REAL*8 A0
+ DIMENSION CSJ(N+1)
+ A0=CDABS(Z)
+ NM=N
+ IF(A0.LT.1.0D-60)THEN
+ DO K=2,N+1
+ CSJ(K)=0.0D0
+ ENDDO
+ CSJ(1)=(1.0D0,0.0D0)
+ RETURN
+ ENDIF
+ CSJ(1)=CDSIN(Z)/Z
+ IF(N.EQ.0)RETURN
+ CSJ(2)=(CSJ(1)-CDCOS(Z))/Z
+ IF(N.EQ.1)RETURN
+ CSA=CSJ(1)
+ CSB=CSJ(2)
+ M=MSTA1(A0,200)
+ IF(M.LT.N)THEN
+ NM=M
+ ELSE
+ M=MSTA2(A0,N,15)
+ ENDIF
+ CF0=0.0D0
+ CF1=1.0D0-100
+ DO K=M,0,-1
+ CF=(2.0D0*K+3.0D0)*CF1/Z-CF0
+ IF(K.LE.NM)CSJ(K+1)=CF
+ CF0=CF1
+ CF1=CF
+ ENDDO
+ IF(CDABS(CSA).GT.CDABS(CSB))CS=CSA/CF
+ IF(CDABS(CSA).LE.CDABS(CSB))CS=CSB/CF0
+ DO K=1,NM+1
+ CSJ(K)=CS*CSJ(K)
+ ENDDO
+ END
+ INTEGER FUNCTION MSTA1(X,MP)
+C
+C ===================================================
+C Purpose: Determine the starting point for backward
+C recurrence such that the magnitude of all
+C J or j at that point is about 10**(-MP)
+C Input : X --- Abs of argument of J or j
+C MP --- Value of magnitude
+C Output: MSTA1 --- Starting point
+C ===================================================
+C
+ IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+ A0=DABS(X)
+ N0=INT(1.1*A0)+1
+ F0=ENVJ(N0,A0)-MP
+ N1=N0+5
+ F1=ENVJ(N1,A0)-MP
+ DO 10 IT=1,20
+ NN=N1-IDINT((N1-N0)/(1.0D0-F0/F1))
+ F=ENVJ(NN,A0)-MP
+ IF(ABS(NN-N1).LT.1)GO TO 20
+ N0=N1
+ F0=F1
+ N1=NN
+ 10 F1=F
+ 20 MSTA1=NN
+ RETURN
+ END
+ INTEGER FUNCTION MSTA2(X,N,MP)
+C
+C ===================================================
+C Purpose: Determine the starting point for backward
+C recurrence such that all J or j
+C have MP significant digits
+C Input : X --- Abs of argument of J or j
+C N --- Order of J or j
+C MP --- Significant digit
+C Output: MSTA2 --- Starting point
+C ===================================================
+C
+ IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+ A0=DABS(X)
+ HMP=0.5D0*MP
+ EJN=ENVJ(N,A0)
+ IF(EJN.LE.HMP)THEN
+ OBJ=MP
+C
+ N0=INT(1.1*A0)+1
+C
+ ELSE
+ OBJ=HMP+EJN
+ N0=N
+ ENDIF
+ F0=ENVJ(N0,A0)-OBJ
+ N1=N0+5
+ F1=ENVJ(N1,A0)-OBJ
+ DO 10 IT=1,20
+ NN=N1-IDINT((N1-N0)/(1.0D0-F0/F1))
+ F=ENVJ(NN,A0)-OBJ
+ IF(ABS(NN-N1).LT.1)GO TO 20
+ N0=N1
+ F0=F1
+ N1=NN
+ 10 F1=F
+ 20 MSTA2=NN+10
+ RETURN
+ END
+ REAL*8 FUNCTION ENVJ(N,X)
+ DOUBLE PRECISION X,XN
+C
+ IF(N.EQ.0)THEN
+ XN=1.0D-100
+ ENVJ=0.5D0*DLOG10(6.28D0*XN)-XN*DLOG10(1.36D0*X/XN)
+ ELSE
+C
+ ENVJ=0.5D0*DLOG10(6.28D0*N)-N*DLOG10(1.36D0*X/N)
+C
+ ENDIF
+C
+ RETURN
+ END
+ SUBROUTINE RNF(N,X,NM,SY)
+C
+C FROM SPHJY OF LIBRARY specfun
+C
+C
+C ======================================================
+C Purpose: Compute spherical Bessel functions y
+C Input : X --- Argument of y ( X > 0 )
+C N --- Order of y ( N = 0,1,2,... )
+C Output: SY(N+1) --- y
+C NM --- Highest order computed
+C ======================================================
+C
+ IMPLICIT REAL*8 (A-H,O-Z)
+ DIMENSION SY(N+1)
+ IF(X.LT.1.0D-60)THEN
+ DO K=1,N+1
+ SY(K)=-1.0D+300
+ ENDDO
+ RETURN
+ ENDIF
+ SY(1)=-DCOS(X)/X
+ IF(N.EQ.0)RETURN
+ SY(2)=(SY(1)-DSIN(X))/X
+ IF(N.EQ.1)RETURN
+ F0=SY(1)
+ F1=SY(2)
+ DO K=2,N
+ F=(2.0D0*K-1.0D0)*F1/X-F0
+ SY(K+1)=F
+ IF(DABS(F).GE.1.0D+300)GO TO 20
+ F0=F1
+ F1=F
+ ENDDO
+ RETURN
+ 20 NM=K
+ RETURN
+ END
+ SUBROUTINE POLAR(X,Y,Z,R,CTH,STH,CPH,SPH)
+ IMPLICIT REAL*8(A-H,O-Z)
+ LOGICAL ONX,ONY,ONZ
+ ONE=1.0D0
+ C0=0.0D0
+ ONX=Y.EQ.C0
+ ONY=X.EQ.C0
+ ONZ=ONX.AND.ONY
+ IF(ONZ)GO TO 10
+ IF(ONX)GO TO 15
+ IF(ONY)GO TO 20
+ RHOS=X*X+Y*Y
+ RHO=DSQRT(RHOS)
+ CPH=X/RHO
+ SPH=Y/RHO
+ GO TO 25
+ 10 CPH=ONE
+ SPH=C0
+ GO TO 25
+ 15 RHOS=X*X
+ RHO=DABS(X)
+ CPH=DSIGN(ONE,X)
+ SPH=C0
+ GO TO 25
+ 20 RHOS=Y*Y
+ RHO=DABS(Y)
+ CPH=C0
+ SPH=DSIGN(ONE,Y)
+ 25 IF(Z.NE.C0)GO TO 35
+ IF(ONZ)GO TO 30
+ R=RHO
+ CTH=C0
+ STH=ONE
+ RETURN
+ 30 R=C0
+ CTH=ONE
+ STH=C0
+ RETURN
+ 35 IF(ONZ)GO TO 40
+ R=DSQRT(RHOS+Z*Z)
+ CTH=Z/R
+ STH=RHO/R
+ RETURN
+ 40 R=DABS(Z)
+ CTH=DSIGN(ONE,Z)
+ STH=C0
+ RETURN
+ END
+ SUBROUTINE SPHAR(COSRTH,SINRTH,COSRPH,SINRPH,LL,YLM)
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC DIMENSION SINRMP(LL),COSRMP(LL),PLEGN((LLPO*LL)/2+LLPO),
+CCC 1YLM(LLPO*LLPO)
+CCC LL=MAX0(LIT,LMT)
+ DIMENSION SINRMP(46),COSRMP(46),PLEGN(1128),YLM(2209)
+ COMPLEX*16 YLM
+ PI4=DACOS(0.0D0)*8.0D0
+ PI4IRS=1.0D0/DSQRT(PI4)
+ X=COSRTH
+ Y=DABS(SINRTH)
+ CLLMO=3.0D0
+ CLL=1.5D0
+ YTOL=Y
+ PLEGN(1)=1.0D0
+ PLEGN(2)=X*DSQRT(CLLMO)
+ PLEGN(3)=YTOL*DSQRT(CLL)
+ SINRMP(1)=SINRPH
+ COSRMP(1)=COSRPH
+ IF(LL.LT.2)GO TO 30
+ K=3
+ DO 20 L=2,LL
+ LMO=L-1
+ LTPO=L+L+1
+ LTMO=LTPO-2
+ LTS=LTPO*LTMO
+ CN=LTS
+ DO 10 MPO=1,LMO
+ M=MPO-1
+ MPOPK=MPO+K
+ LS=(L+M)*(L-M)
+ CD=LS
+ CNM=LTPO*(LMO+M)*(L-MPO)
+ CDM=(LTMO-2)*LS
+ 10 PLEGN(MPOPK)=PLEGN(MPOPK-L)*X*DSQRT(CN/CD)-
+ 1PLEGN(MPOPK-LTMO)*DSQRT(CNM/CDM)
+ LPK=L+K
+ CLTPO=LTPO
+ PLEGN(LPK)=PLEGN(K)*X*DSQRT(CLTPO)
+ K=LPK+1
+ CLT=LTPO-1
+ CLL=CLL*(CLTPO/CLT)
+ YTOL=YTOL*Y
+ PLEGN(K)=YTOL*DSQRT(CLL)
+ SINRMP(L)=SINRPH*COSRMP(LMO)+COSRPH*SINRMP(LMO)
+ 20 COSRMP(L)=COSRPH*COSRMP(LMO)-SINRPH*SINRMP(LMO)
+ 30 L=0
+ 40 M=0
+ K=L*(L+1)
+ L0Y=K+1
+ L0P=K/2+1
+ YLM(L0Y)=PI4IRS*PLEGN(L0P)
+ GO TO 45
+ 44 LMP=L0P+M
+ SAVE=PI4IRS*PLEGN(LMP)
+ LMY=L0Y+M
+ YLM(LMY)=SAVE*DCMPLX(COSRMP(M),SINRMP(M))
+ IF(MOD(M,2).NE.0)YLM(LMY)=-YLM(LMY)
+ LMY=L0Y-M
+ YLM(LMY)=SAVE*DCMPLX(COSRMP(M),-SINRMP(M))
+ 45 IF(M.GE.L)GO TO 47
+ M=M+1
+ GO TO 44
+ 47 IF(L.GE.LL) RETURN
+ L=L+1
+ GO TO 40
+ END
+ SUBROUTINE LUCIN(AM,NDDMST,N,IER)
+C
+C NDDMST FIRST DIMENSION OF AM AS DECLARED IN DIMENSION
+C STATEMENT.
+C N NUMBER OF ROWS IN AM.
+C IER IS REPLACED BY 1 FOR SINGULARITY.
+C
+C
+C CALLS COMPLEX INNER PRODUCT FUNCTION CDTP.
+C
+ IMPLICIT REAL*8 (A-H,O-Z)
+CCC DIMENSION AM(NDDMST,NDDMST),V(NDDMST)
+ DIMENSION AM(9200,9200),V(9200)
+ COMPLEX*16 AM
+ COMPLEX*16 CTEMP,CDTP
+ IER=0
+ NMINUS=N-1
+C
+C 1.2 DEAL WITH THE SPECIAL CASE N=1.
+C
+C1200 IF(N.NE.1)GO TO 1300
+C CTEMP=AM(1,1)
+C IF(CTEMP.EQ.(0.0D0,0.0D0))GO TO 5200
+C AM(1,1)=1.0D0/CTEMP
+C RETURN
+C
+C 1.3 SET V(I)=1/R(I)**2, WHERE R(I) IS THE LENGTH OF ROW I.
+C
+C1300 DO 1309 I=1,N
+ DO 1309 I=1,N
+ SUM=0.0D0
+ DO 1319 J=1,N
+ SUM=SUM+DREAL(AM(I,J))**2+DIMAG(AM(I,J))**2
+ 1319 CONTINUE
+ V(I)=1.0D0/SUM
+ 1309 CONTINUE
+C
+C 2. REPLACE AM BY TRIANGULAR MATRICES (L,U) WHERE AM=L*U.
+C REPLACE L(I,I) BY 1/L(I,I), READY FOR SECTION 4.
+C (ROW INTERCHANGES TAKE PLACE, AND THE INDICES OF THE PIVOTAL ROWS
+C ARE PLACED IN V.)
+C
+ DO 2019 K=1,N
+ KPLUS=K+1
+ KMINUS=K-1
+ L=K
+ PSQMAX=0.0D0
+ DO 2029 I=K,N
+ CTEMP=-CDTP(-AM(I,K),AM,I,1,K,KMINUS,NDDMST)
+ AM(I,K)=CTEMP
+ PSQ=V(I)*(DREAL(CTEMP)**2+DIMAG(CTEMP)**2)
+ IF(PSQ.LE.PSQMAX)GO TO 2029
+ PSQMAX=PSQ
+ L=I
+ 2029 CONTINUE
+ IF(L.EQ.K)GO TO 2011
+ DO 2049 J=1,N
+ CTEMP=AM(K,J)
+ AM(K,J)=AM(L,J)
+ AM(L,J)=CTEMP
+ 2049 CONTINUE
+ V(L)=V(K)
+ 2011 V(K)=L
+ IF(PSQMAX.EQ.0.0D0)GO TO 5200
+ CTEMP=1.0D0/AM(K,K)
+ AM(K,K)=CTEMP
+ IF(KPLUS.GT.N)GO TO 2019
+ DO 2059 J=KPLUS,N
+ AM(K,J)=-CTEMP*CDTP(-AM(K,J),AM,K,1,J,KMINUS,NDDMST)
+ 2059 CONTINUE
+ 2019 CONTINUE
+C
+C 4. REPLACE AM BY ITS INVERSE AMINV.
+C
+C
+C 4.1 REPLACE L AND U BY THEIR INVERSES LINV AND UINV.
+C
+ DO 4109 K=1,NMINUS
+ KPLUS=K+1
+ DO 4119 I=KPLUS,N
+ AM(I,K)=-AM(I,I)*CDTP((0.0D0,0.0D0),AM,I,K,K,I-K,
+ 1NDDMST)
+ AM(K,I)=-CDTP(AM(K,I),AM,K,KPLUS,I,I-K-1,NDDMST)
+ 4119 CONTINUE
+ 4109 CONTINUE
+C
+C 4.2 FORM AMINV=UINV*LINV.
+C
+ DO 4209 K=1,N
+ DO 4219 I=1,N
+ IF(I.GE.K)GO TO 4212
+ AM(I,K)=CDTP((0.0D0,0.0D0),AM,I,K,K,N-K+1,NDDMST)
+ GO TO 4219
+ 4212 AM(I,K)=CDTP(AM(I,K),AM,I,I+1,K,N-I,NDDMST)
+ 4219 CONTINUE
+ 4209 CONTINUE
+C
+C 4.3 INTERCHANGE COLUMNS OF AMINV AS SPECIFIED BY V, BUT IN REVERSE
+C ORDER.
+C
+ DO 4309 L=1,N
+ K=N-L+1
+ KCOL=IDINT(V(K))
+ IF(KCOL.EQ.K)GO TO 4309
+ DO 4319 I=1,N
+ CTEMP=AM(I,K)
+ AM(I,K)=AM(I,KCOL)
+ AM(I,KCOL)=CTEMP
+ 4319 CONTINUE
+ 4309 CONTINUE
+ RETURN
+ 5200 IER=1
+ RETURN
+ END
+ COMPLEX*16 FUNCTION CDTP(Z,AV,I,JF,K,NJ,ISTEP)
+CCC DIMENSION AV(NDDMST*NDDMST)
+ DIMENSION AV(84640000)
+ COMPLEX*16 AV,Z
+ CDTP=Z
+ IF(NJ.LE.0) RETURN
+ JL=JF+NJ-1
+ IR=(K-1)*ISTEP
+ DO 3 J=JF,JL
+ 3 CDTP=CDTP+AV((J-1)*ISTEP+I)*AV(J+IR)
+ RETURN
+ END
+CCC
\ No newline at end of file
diff --git a/test_data/cluster/case_3/edfb300.f b/test_data/cluster/case_3/edfb300.f
new file mode 100644
index 0000000000000000000000000000000000000000..07240d9b1e92f264351243cfa10f7039571f74ef
--- /dev/null
+++ b/test_data/cluster/case_3/edfb300.f
@@ -0,0 +1,330 @@
+ PROGRAM EDFB
+CCC 100930,110228
+CCC IES=1 FOR SURROUNDING EXTERNAL SPHERE CENTERED AT ORIGIN;
+CCC HOMOGENEOUS MATERIAL WITHIN THE EXT. SPHERE IS READ IN
+CCC AS THAT OF THE (NSHL+1)-TH LAYER OF THE 1-ST SPHERE:
+CCC RCF(1,NSHL)=1.0D0, RCF(1,NSHL+1)>1.0D0 AND
+CCC ROS(1) IS RADIUS OF SPHERE 1
+CCC
+CCC READ DATA FOR BUILDING VECTOR XIV FROM WITHIN SUB INXI
+CCC
+CCC IDFC>0 WHEN ALL DIEL. FUNCT. OF SPHERES ARE CONSTANTS;
+CCC IDFC=0 WHEN DIEL. FUNCT. OF SPHERES DEPEND ON XI;
+CCC IDFC<0 WHEN DIEL. FUNCT. OF SPHERES ARE AT XIP VALUE ONLY AND
+CCC XI IS SCALE FACTOR FOR DIMENSIONS
+CCC INSN CHOOSES THE VARIABLE THE DIEL. FUNCT. DEPEND ON:
+CCC (INSN=1)=XI;
+CCC (INSN=2)=WN (THE WAVENUMBER, IN m**-1);
+CCC (INSN=3)=WL (THE WAVELENGTH, IN m);
+CCC (INSN=4)=PU (THE ANGULAR FREQUENCY, IN s**-1);
+CCC (INSN=5)=EV (THE PHOTON ENERGY, IN ev);
+CCC INSTPC>0 WHEN IN CASE IDFC>=0
+CCC VARIABLE INCREASES WITH A CONSTANT STEP;
+CCC INSTPC=0 WHEN IN CASE IDFC>=0
+CCC VALUES OF VARIABLE ARE SAVED IN A VECTOR YOU READ BEFORE
+CCC SUPPORTS EXPERIMENTAL DIELECTRIC FUNCTIONS ONLY
+CCC NSPH=300
+ IMPLICIT REAL*8(A-H,O-Z)
+CCC COMMON/C1/DC0(NSHL-NTL+1),DC0M(NSHL-NTL+1,NSPH,NXI),
+CCC 1ROS(NSPH),RCF(NSPH,NSHL+1),IOG(NSPH),NSHL(NSPH)
+ COMMON/C1/DC0(5),DC0M(5,300,2000),
+ 1ROS(300),RCF(300,9),IOG(300),NSHL(300)
+ COMPLEX*16 DC0,DC0M
+CCC COMMON/C3/XIV(NXI),WNS(NXI),WLS(NXI),PUS(NXI),EVS(NXI),
+CCC 1VSS(NXI),VNS(5)
+ COMMON/C3/XIV(2000),WNS(2000),WLS(2000),PUS(2000),EVS(2000),
+ 1VSS(2000),VNS(5)
+ CHARACTER*3 VNS
+ 5010 FORMAT(16I5)
+ 6005 FORMAT(' SPHERE N.',I4)
+ 6009 FORMAT(' NONTRANSITION LAYER N.',I2,', SCALE = ',A3)
+ 6010 FORMAT(I5,1X,1PD12.4,1PD12.4)
+ IR=5
+ IW=6
+ IT=7
+CCC
+CCC SIZE(I)=VK*ROS(I) IS SIZE PARAMETER in vacuo
+CCC
+CCC
+CCC READING OF DIELECTRIC FUNCTIONS DRIVEN BY ICI DEFINED BELOW
+CCC
+ OPEN(IR,FILE='DEDFB',STATUS='OLD')
+ READ(IR,*)NSPH,IES
+ IF(IES.NE.0)IES=1
+ READ(IR,*)EXDC,WP,XIP,IDFC,NXI,INSTPC,INSN
+ OPEN(IW,FILE='OEDFB',STATUS='UNKNOWN')
+ CALL INXI(IR,IW,WP,XIP,IDFC,NXI,INSTPC,INSN)
+ READ(IR,5010)(IOG(I),I=1,NSPH)
+ DO 113 I=1,NSPH
+ IF(IOG(I).LT.I)GO TO 113
+ READ(IR,*)NSHL(I),ROS(I)
+ NSH=NSHL(I)
+ IF(I.EQ.1)NSH=NSH+IES
+ DO 112 NS=1,NSH
+ 112 READ(IR,*)RCF(I,NS)
+ 113 CONTINUE
+ OPEN(IT,FILE='TEDF',FORM='UNFORMATTED',STATUS='UNKNOWN')
+ WRITE(IT)NSPH
+ WRITE(IT)(IOG(I),I=1,NSPH)
+ WRITE(IT)EXDC,WP,XIP,IDFC,NXI
+ WRITE(IT)(XIV(I),I=1,NXI)
+ DO 115 I=1,NSPH
+ IF(IOG(I).LT.I)GO TO 115
+ WRITE(IT)NSHL(I),ROS(I)
+ NSH=NSHL(I)
+ IF(I.EQ.1)NSH=NSH+IES
+ WRITE(IT)(RCF(I,NS),NS=1,NSH)
+ 115 CONTINUE
+ DO 468 JXI=1,NXI
+ IF((IDFC.NE.0).AND.(JXI.GT.1))GO TO 468
+ DO 162 I=1,NSPH
+ IF(IOG(I).LT.I)GO TO 162
+CCC
+ NSH=NSHL(I)
+ ICI=(NSH+1)/2
+ IF(I.EQ.1)ICI=ICI+IES
+ DO 157 IC=1,ICI
+ READ(IR,*)DC0(IC)
+ 157 DC0M(IC,I,JXI)=DC0(IC)
+CCC
+ WRITE(IT)(DC0(IC),IC=1,ICI)
+ 162 CONTINUE
+ 468 CONTINUE
+ IF(IDFC.EQ.0)GO TO 474
+ WRITE(IW,*)' DIELECTRIC CONSTANTS'
+ DO 473 I=1,NSPH
+ IF(IOG(I).NE.I)GO TO 473
+ ICI=(NSHL(I)+1)/2
+ IF(I.EQ.1)ICI=ICI+IES
+ WRITE(IW,6005)I
+ DO 472 IC=1,ICI
+ WRITE(IW,6010)IC,DC0M(IC,I,1)
+ 472 CONTINUE
+ 473 CONTINUE
+ GO TO 499
+ 474 WRITE(IW,*)' DIELECTRIC FUNCTIONS'
+ DO 478 I=1,NSPH
+ IF(IOG(I).NE.I)GO TO 478
+ ICI=(NSHL(I)+1)/2
+ IF(I.EQ.1)ICI=ICI+IES
+ WRITE(IW,6005)I
+ DO 477 IC=1,ICI
+ WRITE(IW,6009)IC,VNS(INSN)
+ DO 476 JXI=1,NXI
+ WRITE(IW,6010)JXI,DC0M(IC,I,JXI)
+ 476 CONTINUE
+ 477 CONTINUE
+ 478 CONTINUE
+ 499 CLOSE(IR)
+ CLOSE(IW)
+ CLOSE(IT)
+ STOP
+ END
+ SUBROUTINE INXI(IR,IW,WP,XIP,IDFC,NXI,INSTPC,INSN)
+ IMPLICIT REAL*8(A-H,O-Z)
+ COMMON/C3/XIV(2000),WNS(2000),WLS(2000),PUS(2000),EVS(2000),
+ 1VSS(2000),VNS(5)
+ CHARACTER*3 VNS
+ PIGT=DACOS(0.0D0)*4.0D0
+ EVC=6.5821188D-16
+ IF(IDFC.LT.0)GO TO 300
+ IF(INSTPC.EQ.0)GO TO 200
+CCC VLST=V+(NXI-1)*VSTP
+ GO TO(105,125,145,165,185),INSN
+ RETURN
+ 105 READ(IR,*)XI,XISTP
+ DO 110 JXI=1,NXI
+ PU=XI*WP
+ WN=PU/3.0D08
+ VNS(INSN)='XIV'
+ VSS(JXI)=XI
+ XIV(JXI)=XI
+ PUS(JXI)=PU
+ EVS(JXI)=PU*EVC
+ WNS(JXI)=WN
+ WLS(JXI)=PIGT/WN
+ 110 XI=XI+XISTP
+ WRITE(IW,6601)
+ 6601 FORMAT
+ 1(2X,'JXI',5X,'XIV',10X,'WNS',10X,'WLS',10X,'PUS',10X,'EVS')
+ WRITE(IW,6600)
+ 1(JXI,XIV(JXI),WNS(JXI),WLS(JXI),PUS(JXI),EVS(JXI),JXI=1,NXI)
+ 6600 FORMAT((I5,5(1PD13.4)))
+ RETURN
+ 125 READ(IR,*)WN,WNSTP
+ DO 130 JXI=1,NXI
+ XI=3.0D08*WN/WP
+ PU=XI*WP
+ VNS(INSN)='WNS'
+ VSS(JXI)=WN
+ WNS(JXI)=WN
+ WLS(JXI)=PIGT/WN
+ XIV(JXI)=XI
+ PUS(JXI)=PU
+ EVS(JXI)=PU*EVC
+ 130 WN=WN+WNSTP
+ WRITE(IW,6602)
+ 6602 FORMAT
+ 1(2X,'JXI',5X,'WNS',10X,'WLS',10X,'PUS',10X,'EVS',10X,'XIV')
+ WRITE(IW,6600)
+ 1(JXI,WNS(JXI),WLS(JXI),PUS(JXI),EVS(JXI),XIV(JXI),JXI=1,NXI)
+ RETURN
+ 145 READ(IR,*)WL,WLSTP
+ DO 150 JXI=1,NXI
+ WN=PIGT/WL
+ XI=3.0D08*WN/WP
+ PU=XI*WP
+ VNS(INSN)='WLS'
+ VSS(JXI)=WL
+ WLS(JXI)=WL
+ WNS(JXI)=WN
+ XIV(JXI)=XI
+ PUS(JXI)=PU
+ EVS(JXI)=PU*EVC
+ 150 WL=WL+WLSTP
+ WRITE(IW,6603)
+ 6603 FORMAT
+ 1(2X,'JXI',5X,'WLS',10X,'WNS',10X,'PUS',10X,'EVS',10X,'XIV')
+ WRITE(IW,6600)
+ 1(JXI,WLS(JXI),WNS(JXI),PUS(JXI),EVS(JXI),XIV(JXI),JXI=1,NXI)
+ RETURN
+ 165 READ(IR,*)PU,PUSTP
+ DO 170 JXI=1,NXI
+ XI=PU/WP
+ WN=PU/3.0D08
+ VNS(INSN)='PUS'
+ VSS(JXI)=PU
+ PUS(JXI)=PU
+ XIV(JXI)=XI
+ WNS(JXI)=WN
+ WLS(JXI)=PIGT/WN
+ EVS(JXI)=PU*EVC
+ 170 PU=PU+PUSTP
+ WRITE(IW,6604)
+ 6604 FORMAT
+ 1(2X,'JXI',5X,'PUS',10X,'WNS',10X,'WLS',10X,'EVS',10X,'XIV')
+ WRITE(IW,6600)
+ 1(JXI,PUS(JXI),WNS(JXI),WLS(JXI),EVS(JXI),XIV(JXI),JXI=1,NXI)
+ RETURN
+ 185 READ(IR,*)EV,EVSTP
+ DO 190 JXI=1,NXI
+ PU=EV/EVC
+ XI=PU/WP
+ WN=PU/3.0D08
+ VNS(INSN)='EVS'
+ VSS(JXI)=EV
+ EVS(JXI)=EV
+ PUS(JXI)=PU
+ XIV(JXI)=XI
+ WNS(JXI)=WN
+ WLS(JXI)=PIGT/WN
+ 190 EV=EV+EVSTP
+ WRITE(IW,6605)
+ 6605 FORMAT
+ 1(2X,'JXI',5X,'EVS',10X,'WNS',10X,'WLS',10X,'PUS',10X,'XIV')
+ WRITE(IW,6600)
+ 1(JXI,EVS(JXI),WNS(JXI),WLS(JXI),PUS(JXI),XIV(JXI),JXI=1,NXI)
+ RETURN
+ 200 GO TO(205,225,245,265,285),INSN
+ RETURN
+ 205 DO 210 JXI=1,NXI
+ READ(IR,*)XI
+ PU=XI*WP
+ WN=PU/3.0D08
+ VNS(INSN)='XIV'
+ VSS(JXI)=XI
+ XIV(JXI)=XI
+ PUS(JXI)=PU
+ EVS(JXI)=PU*EVC
+ WNS(JXI)=WN
+ WLS(JXI)=PIGT/WN
+ 210 CONTINUE
+ WRITE(IW,6601)
+ WRITE(IW,6600)
+ 1(JXI,XIV(JXI),WNS(JXI),WLS(JXI),PUS(JXI),EVS(JXI),JXI=1,NXI)
+ RETURN
+ 225 DO 230 JXI=1,NXI
+ READ(IR,*)WN
+ XI=3.0D08*WN/WP
+ PU=XI*WP
+ VNS(INSN)='WNS'
+ VSS(JXI)=WN
+ WNS(JXI)=WN
+ WLS(JXI)=PIGT/WN
+ XIV(JXI)=XI
+ PUS(JXI)=PU
+ EVS(JXI)=PU*EVC
+ 230 CONTINUE
+ WRITE(IW,6602)
+ WRITE(IW,6600)
+ 1(JXI,WNS(JXI),WLS(JXI),PUS(JXI),EVS(JXI),XIV(JXI),JXI=1,NXI)
+ RETURN
+ 245 DO 250 JXI=1,NXI
+ READ(IR,*)WL
+ WN=PIGT/WL
+ XI=3.0D08*WN/WP
+ PU=XI*WP
+ VNS(INSN)='WLS'
+ VSS(JXI)=WL
+ WLS(JXI)=WL
+ WNS(JXI)=WN
+ XIV(JXI)=XI
+ PUS(JXI)=PU
+ EVS(JXI)=PU*EVC
+ 250 CONTINUE
+ WRITE(IW,6603)
+ WRITE(IW,6600)
+ 1(JXI,WLS(JXI),WNS(JXI),PUS(JXI),EVS(JXI),XIV(JXI),JXI=1,NXI)
+ RETURN
+ 265 DO 270 JXI=1,NXI
+ READ(IR,*)PU
+ XI=PU/WP
+ WN=PU/3.0D08
+ VNS(INSN)='PUS'
+ VSS(JXI)=PU
+ PUS(JXI)=PU
+ XIV(JXI)=XI
+ WNS(JXI)=WN
+ WLS(JXI)=PIGT/WN
+ EVS(JXI)=PU*EVC
+ 270 CONTINUE
+ WRITE(IW,6604)
+ WRITE(IW,6600)
+ 1(JXI,PUS(JXI),WNS(JXI),WLS(JXI),EVS(JXI),XIV(JXI),JXI=1,NXI)
+ RETURN
+ 285 DO 290 JXI=1,NXI
+ READ(IR,*)EV
+ PU=EV/EVC
+ XI=PU/WP
+ WN=PU/3.0D08
+ VNS(INSN)='EVS'
+ VSS(JXI)=EV
+ EVS(JXI)=EV
+ PUS(JXI)=PU
+ XIV(JXI)=XI
+ WNS(JXI)=WN
+ WLS(JXI)=PIGT/WN
+ 290 CONTINUE
+ WRITE(IW,6605)
+ WRITE(IW,6600)
+ 1(JXI,EVS(JXI),WNS(JXI),WLS(JXI),PUS(JXI),XIV(JXI),JXI=1,NXI)
+ RETURN
+ 300 DO 310 JXI=1,NXI
+ READ(IR,*)XI
+ VNS(INSN)='XIV'
+ VSS(JXI)=XI
+ XIV(JXI)=XI
+ 310 CONTINUE
+ PU=XIP*WP
+ WN=PU/3.0D08
+ WRITE(IW,6611)
+ 6611 FORMAT
+ 1(10X,'XIP',10X,'WN ',10X,'WL ',10X,'PU ',10X,'EV')
+ WRITE(IW,6610)XIP,WN,PIGT/WN,PU,PU*EVC
+ 6610 FORMAT((5X,5(1PD13.4)))
+ WRITE(IW,*)' SCALE FACTORS XI'
+ WRITE(IW,6612)(JXI,XIV(JXI),JXI=1,NXI)
+ 6612 FORMAT(I5,1PD13.4)
+ RETURN
+ END
+CCC
\ No newline at end of file