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Preped files, headers, functions, test_h5 and Makefiles for MaponiA3S.
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8
Makefile
8
Makefile
@ -28,7 +28,10 @@ FLIBS = -lstdc++
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## Includes and dependencies
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INCLUDE = -I $(INC_DIR)/
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DEPS_CXX = $(OBJ_DIR)/SM_MaponiA3.o $(OBJ_DIR)/SM_Standard.o $(OBJ_DIR)/SM_Helpers.o
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DEPS_CXX = $(OBJ_DIR)/SM_MaponiA3.o \
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$(OBJ_DIR)/SM_MaponiA3S.o \
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$(OBJ_DIR)/SM_Standard.o \
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$(OBJ_DIR)/SM_Helpers.o
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DEPS_F = $(DEPS_CXX) $(OBJ_DIR)/SM_MaponiA3_mod.o $(OBJ_DIR)/Helpers_mod.o
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## Directory structure
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@ -90,6 +93,9 @@ $(OBJ_DIR)/%.o: $(TST_DIR)/%.f90 | $(OBJ_DIR)
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$(OBJ_DIR)/SM_MaponiA3.o: $(SRC_DIR)/SM_MaponiA3.cpp $(INC_DIR)/* | $(OBJ_DIR)
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$(CXX) $(CXXFLAGS) -fPIC $(INCLUDE) -c -o $@ $<
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$(OBJ_DIR)/SM_MaponiA3S.o: $(SRC_DIR)/SM_MaponiA3S.cpp $(INC_DIR)/* | $(OBJ_DIR)
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$(CXX) $(CXXFLAGS) -fPIC $(INCLUDE) -c -o $@ $<
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$(OBJ_DIR)/SM_Standard.o: $(SRC_DIR)/SM_Standard.cpp $(INC_DIR)/* | $(OBJ_DIR)
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$(CXX) $(CXXFLAGS) -fPIC $(INCLUDE) -c -o $@ $<
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@ -9,7 +9,10 @@ CXXFLAGS = -O0 -g $(H5FLAGS)
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FFLAGS = -O0 -g $(H5FLAGS)
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INCLUDE = -I $(INC_DIR)/
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DEPS_CXX = $(OBJ_DIR)/SM_MaponiA3.o $(OBJ_DIR)/SM_Standard.o $(OBJ_DIR)/SM_Helpers.o
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DEPS_CXX = $(OBJ_DIR)/SM_MaponiA3.o \
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$(OBJ_DIR)/SM_MaponiA3S.o \
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$(OBJ_DIR)/SM_Standard.o \
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$(OBJ_DIR)/SM_Helpers.o
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DEPS_F = $(DEPS_CXX) $(OBJ_DIR)/SM_MaponiA3_mod.o $(OBJ_DIR)/Helpers_mod.o
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FLIBS = -lstdc++
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@ -69,6 +72,9 @@ $(OBJ_DIR)/%.o: $(TST_DIR)/%.f90 | $(OBJ_DIR)
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$(OBJ_DIR)/SM_MaponiA3.o: $(SRC_DIR)/SM_MaponiA3.cpp $(INC_DIR)/* | $(OBJ_DIR)
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$(CXX) $(CXXFLAGS) -fPIC $(ARCH) $(INCLUDE) -c -o $@ $<
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$(OBJ_DIR)/SM_MaponiA3S.o: $(SRC_DIR)/SM_MaponiA3S.cpp $(INC_DIR)/* | $(OBJ_DIR)
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$(CXX) $(CXXFLAGS) -fPIC $(INCLUDE) -c -o $@ $<
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$(OBJ_DIR)/SM_Standard.o: $(SRC_DIR)/SM_Standard.cpp $(INC_DIR)/* | $(OBJ_DIR)
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$(CXX) $(CXXFLAGS) -fPIC $(ARCH) $(INCLUDE) -c -o $@ $<
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3
include/SM_MaponiA3S.hpp
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3
include/SM_MaponiA3S.hpp
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@ -0,0 +1,3 @@
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void MaponiA3S(double *Slater_inv, unsigned int Dim,
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unsigned int N_updates, double *Updates,
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unsigned int *Updates_index);
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146
src/SM_MaponiA3S.cpp
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146
src/SM_MaponiA3S.cpp
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@ -0,0 +1,146 @@
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// SM-MaponiA3_f.cpp
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// Algorithm 3 from P. Maponi,
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// p. 283, doi:10.1016/j.laa.2006.07.007
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#include "SM_MaponiA3S.hpp"
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#include "SM_Helpers.hpp"
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// #define DEBUG
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void MaponiA3S(double *Slater_inv, unsigned int Dim,
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unsigned int N_updates, double *Updates,
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unsigned int *Updates_index) {
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/*
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DECLARE AND INITIALISE ARRAYS
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*/
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unsigned int k, l, i, j, component;
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unsigned int *p = new unsigned int[N_updates + 1] {0};
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double alpha, beta;
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double *Al = new double[Dim * Dim];
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double *next = new double[Dim*Dim] {0};
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double *last = Slater_inv, *tmp;
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// Populate update-order vector
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for (i = 0; i < N_updates; i++) {
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p[i + 1] = i + 1;
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}
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// Declare auxiliary solution matrix ylk[N_updates][N_updates+1][Dim]
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double ***ylk = new double **[N_updates];
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for (l = 0; l < N_updates; l++) {
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ylk[l] = new double *[N_updates + 1];
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for (k = 0; k < N_updates + 1; k++) {
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ylk[l][k] = new double[Dim + 1] {0};
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}
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}
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/*
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START ALGORITHM
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*/
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// Calculate the {y_{0,k}}
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for (k = 1; k < N_updates + 1; k++) {
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#ifdef DEBUG
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std::cout << "Compute y0k: " << std::endl;
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std::cout << "ylk[0][" << k << "][:]";
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std::cout << std::endl;
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#endif
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for (i = 1; i < Dim + 1; i++) {
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for (j = 1; j < Dim + 1; j++) {
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ylk[0][k][i] += Slater_inv[(i-1)*Dim + (j-1)]
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* Updates[(k-1)*Dim + (j-1)];
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}
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}
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#ifdef DEBUG
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showVector(ylk[0][k], Dim, "");
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#endif
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}
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// Calculate the {y_{l,k}} from the {y_{0,k}}
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for (l = 0; l < N_updates; l++) {
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#ifdef DEBUG
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std::cout << "In outer compute-ylk-loop: l = " << l << std::endl;
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std::cout << std::endl;
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#endif
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// For given l select intermediate update with largest break-down val
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selectLargestDenominator(l, N_updates, Updates_index, p, ylk);
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// Select component and comp. bd-condition.
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component = Updates_index[p[l+1] - 1];
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beta = 1 + ylk[l][p[l+1]][component];
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#ifdef DEBUG
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std::cout << "p[l+1] = " << p[l+1] << std::endl;
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std::cout << "component = " << component << std::endl;
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std::cout << "beta = 1 + ylk[" << l << "][" << p[l+1] << "][" << component << "] = " << beta << std::endl;
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std::cout << std::endl;
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#endif
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if (fabs(beta) < 1e-3) {
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std::cerr << "Break-down occured." << std::endl;
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}
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// Compute intermediate update to Slater_inv
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#ifdef DEBUG
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std::cout << "Compute intermediate update to Slater_inv" << std::endl;
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std::cout << "component = " << component << std::endl;
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std::cout << "beta = 1 + ylk[" << l << "][" << p[l+1] << "][" << component << "]" << std::endl;
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std::cout << "ylk[l][p[k]][:] = ylk[" << l << "][" << p[l+1] << "][:]" << std::endl;
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std::cout << std::endl;
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#endif
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for (i = 0; i < Dim; i++) {
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for (j = 0; j < Dim; j++) {
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Al[i*Dim + j] = (i == j) - (j == component-1)
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* ylk[l][p[l+1]][i + 1] / beta;
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}
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}
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matMul(Al, last, next, Dim);
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tmp = next;
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next = last;
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last = tmp;
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#ifdef DEBUG
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showMatrix(last, Dim, "last");
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#endif
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// For given l != 0 compute the next {y_{l,k}}
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for (k = l+2; k < N_updates+1; k++) {
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alpha = ylk[l][p[k]][component] / beta;
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#ifdef DEBUG
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std::cout << "Inside k-loop: k = " << k << std::endl;
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std::cout << "ylk[" << l+1 << "][" << p[k] << "][:]" << std::endl;
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std::cout << std::endl;
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#endif
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for (i = 1; i < Dim + 1; i++) {
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ylk[l+1][p[k]][i] = ylk[l][p[k]][i]
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- alpha * ylk[l][p[l+1]][i];
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}
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}
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}
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memcpy(Slater_inv, last, Dim*Dim*sizeof(double));
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/*
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CLEANUP MEMORY
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*/
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for (l = 0; l < N_updates; l++) {
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for (k = 0; k < N_updates + 1; k++) {
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delete[] ylk[l][k];
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}
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delete[] ylk[l];
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}
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delete[] Al, next, p;
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}
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extern "C" {
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void MaponiA3S_f(double **linSlater_inv, unsigned int *Dim,
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unsigned int *N_updates, double **linUpdates,
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unsigned int **Updates_index) {
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MaponiA3S(*linSlater_inv, *Dim,
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*N_updates, *linUpdates,
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*Updates_index);
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}
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}
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@ -2,6 +2,7 @@
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#include "hdf5/serial/H5Cpp.h"
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#include "SM_MaponiA3.hpp"
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#include "SM_MaponiA3S.hpp"
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#include "SM_Standard.hpp"
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#include "SM_Helpers.hpp"
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@ -89,6 +90,8 @@ int test_cycle(H5File file, int cycle, std::string version) {
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if (version == "maponia3") {
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MaponiA3(slater_inverse, dim, nupdates, u, col_update_index);
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} else if (version == "maponia3s") {
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MaponiA3S(slater_inverse, dim, nupdates, u, col_update_index);
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} else if (version == "sm1") {
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SM1(slater_inverse, dim, nupdates, u, col_update_index);
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} else if (version == "sm2") {
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