mirror of
https://github.com/TREX-CoE/Sherman-Morrison.git
synced 2024-07-22 18:57:40 +02:00
C++ redesign of data-structures
- Use flat arrays - Use real type for all matrices - Merge _f MaponiA3 files
This commit is contained in:
Pablo Oliveira
parent
de00fbadff
commit
6f34f485d3
60
Helpers.hpp
60
Helpers.hpp
@ -7,8 +7,8 @@ using namespace std;
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template<typename T>
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unsigned int getMaxIndex(T *vector, unsigned int size) {
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unsigned int i;
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unsigned int max = vector[0];
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unsigned int i;
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unsigned int max = vector[0];
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unsigned int maxi = 0;
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for (i = 1; i < size; i++) {
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if (vector[i] > max) {
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@ -16,7 +16,7 @@ unsigned int getMaxIndex(T *vector, unsigned int size) {
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maxi = i;
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}
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}
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return maxi;
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return maxi;
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}
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template<typename T>
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@ -34,12 +34,12 @@ void showVector(T *vector, unsigned int size, string name) {
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}
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template<typename T>
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void showMatrix(T **matrix, unsigned int size, string name) {
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void showMatrix(T *matrix, unsigned int M, string name) {
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cout << name << " = " << endl;
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for (unsigned int i = 0; i < size; i++) {
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for (unsigned int i = 0; i < M; i++) {
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cout << "[ ";
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for (unsigned int j = 0; j < size; j++) {
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cout << matrix[i][j] << " ";
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for (unsigned int j = 0; j < M; j++) {
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cout << matrix[i*M+j] << " ";
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}
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cout << " ]" << endl;
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}
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@ -60,31 +60,12 @@ void showMatrixT(T **matrix, unsigned int size, string name) {
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}
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template<typename T>
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T **matMul(T **A, T **B, unsigned int size) {
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T **C = new T*[size];
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for (unsigned int i = 0; i < size; i++) {
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C[i] = new T[size];
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}
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for (unsigned int i = 0; i < size; i++) {
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for (unsigned int j = 0; j < size; j++) {
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for (unsigned int k = 0; k < size; k++) {
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C[i][j] += A[i][k] * B[k][j];
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}
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}
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}
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return C;
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}
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template<typename T>
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T **matMul2(T **A, T (*B)[], unsigned int size) {
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T **C = new T*[size];
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for (unsigned int i = 0; i < size; i++) {
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C[i] = new T[size];
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}
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for (unsigned int i = 0; i < size; i++) {
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for (unsigned int j = 0; j < size; j++) {
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for (unsigned int k = 0; k < size; k++) {
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C[i][j] += A[i][k] * B[k][j];
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T *matMul(T *A, T *B, unsigned int M) {
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T *C = new T[M*M];
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for (unsigned int i = 0; i < M; i++) {
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for (unsigned int j = 0; j < M; j++) {
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for (unsigned int k = 0; k < M; k++) {
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C[i*M+j] += A[i*M+k] * B[k*M+j];
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}
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}
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}
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@ -93,14 +74,11 @@ T **matMul2(T **A, T (*B)[], unsigned int size) {
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template<typename T1, typename T2>
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T1 **outProd(T1 *vec1, T2 *vec2, unsigned int size) {
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T1 **C = new T1*[size];
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for (unsigned int i = 0; i < size; i++) {
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C[i] = new T1[size];
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}
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for (unsigned int i = 0; i < size; i++) {
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for (unsigned int j = 0; j < size; j++) {
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C[i][j] = vec1[i+1] * vec2[j];
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T1 *outProd(T1 *vec1, T2 *vec2, unsigned int M) {
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T1 *C = new T1[M*M];
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for (unsigned int i = 0; i < M; i++) {
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for (unsigned int j = 0; j < M; j++) {
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C[i*M+j] = vec1[i+1] * vec2[j];
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}
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}
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return C;
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@ -140,4 +118,4 @@ T matDet(T **A, unsigned int M) {
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return det;
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}
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delete [] temp;
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}
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}
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10
Makefile
10
Makefile
@ -3,9 +3,9 @@ CXX = icpc
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FC = ifort
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## Compiler flags
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CXXFLAGS = -O0 -debug full -traceback
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FFLAGS = -O0 -debug full -traceback
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# ARCH = -xCORE-AVX2
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CXXFLAGS = -O0 #-debug full -traceback
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FFLAGS = -O0 #-debug full -traceback
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# ARCH = -xCORE-AVX2
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## Deps & objs for the C++ stuff
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cppDEPS = cppmain.cpp SM_MaponiA3.cpp SM_MaponiA3.hpp Helpers.hpp
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@ -13,7 +13,7 @@ cppOBJ = cppmain.o SM_MaponiA3.o
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## Deps & objs for the Fortran stuff
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fDEPS = fmain.f90 SM_MaponiA3_mod.f90
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fOBJ = SM_MaponiA3_f.o SM_MaponiA3_mod.o fmain.o
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fOBJ = SM_MaponiA3.o SM_MaponiA3_mod.o fmain.o
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fLIBS = -lstdc++
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## Compile recipes for C++ stuff
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@ -31,7 +31,7 @@ all: cppSherman-Morrison fSherman-Morrison
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clean:
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@rm -vf *.o *.mod
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distclean: clean
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@rm -vf cppSherman-Morrison fSherman-Morrison
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@ -1,21 +1,20 @@
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// SM-MaponiA3.cpp
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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_MaponiA3.hpp"
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#include "Helpers.hpp"
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void Sherman_Morrison(int **Slater0, double **Slater_inv, unsigned int *Dim, unsigned int *N_updates, int **Updates, unsigned int *Updates_index) {
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unsigned int k, l, lbar, i, j, tmp, M = *Dim;
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void MaponiA3(double *Slater0, double *Slater_inv, unsigned int M, unsigned int N_updates, double *Updates, unsigned int *Updates_index) {
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unsigned int k, l, lbar, i, j, tmp = M;
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unsigned int *p = new unsigned int[M+1];
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unsigned int **Id = new unsigned int*[M];
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double *Id = new double[M*M];
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double alpha, beta;
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double **U, *breakdown = new double[M+1];
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double **Al = new double*[M];
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double *breakdown = new double[M+1];
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double *Al = new double[M*M];
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p[0] = 0;
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for (i = 0; i < M; i++) {
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p[i+1] = i + 1;
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Id[i] = new unsigned int[M];
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Al[i] = new double[M];
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}
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// Declare auxiliary solution matrix ylk
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@ -30,11 +29,11 @@ void Sherman_Morrison(int **Slater0, double **Slater_inv, unsigned int *Dim, uns
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// Initialize identity matrix
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for (i = 0; i < M; i++) {
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for (j = 0; j < M; j++) {
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if (i != j) Id[i][j] = 0;
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else Id[i][j] = 1;
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if (i != j) Id[i*M+j] = 0;
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else Id[i*M+j] = 1;
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}
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}
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// Initialize ylk with zeros
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for (l = 0; l < M; l++) {
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for (k = 0; k < M+1; k++) {
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@ -47,7 +46,7 @@ void Sherman_Morrison(int **Slater0, double **Slater_inv, unsigned int *Dim, uns
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// Calculate all the y0k in M^2 multiplications instead of M^3
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for (k = 1; k < M+1; k++) {
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for (i = 1; i < M+1; i++) {
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ylk[0][k][i] = Slater_inv[i-1][i-1] * Updates[i-1][k-1];
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ylk[0][k][i] = Slater_inv[(i-1)*M+(i-1)] * Updates[(i-1)*M+(k-1)];
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}
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}
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@ -76,19 +75,19 @@ void Sherman_Morrison(int **Slater0, double **Slater_inv, unsigned int *Dim, uns
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}
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}
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// Construct A-inverse from A0-inverse and the ylk
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// Keep the memory location of the passed array 'Slater_inv' before 'Slater_inv'
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// gets reassigned by 'matMul(...)' in the next line, by creating a new
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// pointer 'copy' that points to whereever 'Slater_inv' points to now.
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double **copy = Slater_inv;
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double *copy = Slater_inv;
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// Construct A-inverse from A0-inverse and the ylk
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for (l = 0; l < M; l++) {
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k = l+1;
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U = outProd(ylk[l][p[k]], Id[p[k]-1], M);
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double * U = outProd(ylk[l][p[k]], (Id + (p[k]-1)*M), M);
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beta = 1 + ylk[l][p[k]][p[k]];
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for (i = 0; i < M; i++) {
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for (j = 0; j < M; j++) {
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Al[i][j] = Id[i][j] - U[i][j] / beta;
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Al[i*M+j] = Id[i*M+j] - U[i*M+j] / beta;
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}
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}
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Slater_inv = matMul(Al, Slater_inv, M);
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@ -96,16 +95,24 @@ void Sherman_Morrison(int **Slater0, double **Slater_inv, unsigned int *Dim, uns
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// Assign the new values of 'Slater_inv' to the old values in 'copy[][]'
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for (i = 0; i < M; i++) {
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for (j = 0; j < M; j++) {
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copy[i][j] = Slater_inv[i][j];
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}
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for (j = 0; j < M; j++) {
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copy[i*M+j] = Slater_inv[i*M+j];
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}
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}
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for (l = 0; l < M; l++) {
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for (k = 0; k < M+1; k++) {
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delete [] ylk[l][k];
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}
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delete [] ylk[l], Id[l], U[l], Al[l], Slater_inv[l];
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delete [] ylk[l];
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}
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delete [] Id, Al;
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delete [] p, breakdown;
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}
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}
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extern "C" {
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void MaponiA3_f(double **linSlater0, double **linSlater_inv, unsigned int *Dim, unsigned int *N_updates, double **linUpdates, unsigned int **Updates_index)
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{
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MaponiA3(*linSlater0, *linSlater_inv, *Dim, *N_updates, *linUpdates, *Updates_index);
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}
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}
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@ -1,2 +1 @@
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// SM-MaponiA3.hpp
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void Sherman_Morrison(int **Slater0, double **Slater_inv, unsigned int *Dim, unsigned int *N_updates, int **Updates, unsigned int *Updates_index);
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void MaponiA3(double *Slater0, double *Slater_inv, unsigned int M, unsigned int N_updates, double *Updates, unsigned int *Updates_index);
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@ -1,144 +0,0 @@
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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_MaponiA3_f.hpp"
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#include "Helpers.hpp"
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void MaponiA3(int **linSlater0, double **linSlater_inv, unsigned int *Dim, unsigned int *N_updates, int **linUpdates, unsigned int *Updates_index) {
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// Define new 2D arrays and copy the elements of the
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// linear passed Fortran arrays. This block needs to
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// be replaced with a suitable casting mechanism to
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// avoid copying of memory.
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int **Slater0 = new int*[*Dim];
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int **Updates = new int*[*Dim];
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double **Slater_inv = new double*[*Dim];
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for (int i = 0; i < *Dim; i++) {
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Slater0[i] = new int[*Dim];
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Updates[i] = new int[*Dim];
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Slater_inv[i] = new double[*Dim];
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}
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for (unsigned int i = 0; i < *Dim; i++) {
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for (unsigned int j = 0; j < *Dim; j++) {
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Slater0[i][j] = linSlater0[0][i+*Dim*j];
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Slater_inv[i][j] = linSlater_inv[0][i+*Dim*j];
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Updates[i][j] = linUpdates[0][i+*Dim*j];
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}
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}
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// Possible casting candidates
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// int (*Slater0)[*Dim] = (int(*)[*Dim])linSlater0[0];
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// double (*Slater_inv)[*Dim] = (double(*)[*Dim])linSlater_inv[0];
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// int (*Updates)[*Dim] = (int(*)[*Dim])linUpdates[0];
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////////////////////////////////////////////////////////////////////////
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unsigned int k, l, lbar, i, j, tmp, M = *Dim;
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unsigned int *p = new unsigned int[M+1];
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unsigned int **Id = new unsigned int*[M];
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double alpha, beta;
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double **U, *breakdown = new double[M+1];
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double **Al = new double*[M];
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p[0] = 0;
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for (i = 0; i < M; i++) {
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p[i+1] = i + 1;
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Id[i] = new unsigned int[M];
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Al[i] = new double[M];
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}
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// Declare auxiliary solution matrix ylk
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double ***ylk = new double**[M];
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for (l = 0; l < M; l++) {
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ylk[l] = new double*[M+1];
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for (k = 0; k < M+1; k++) {
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ylk[l][k] = new double[M+1];
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}
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}
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// Initialize identity matrix
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for (i = 0; i < M; i++) {
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for (j = 0; j < M; j++) {
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if (i != j) Id[i][j] = 0;
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else Id[i][j] = 1;
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}
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}
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// Initialize ylk with zeros
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for (l = 0; l < M; l++) {
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for (k = 0; k < M+1; k++) {
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for (i = 0; i < M+1; i++) {
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ylk[l][k][i] = 0;
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}
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}
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}
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// Calculate all the y0k in M^2 multiplications instead of M^3
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for (k = 1; k < M+1; k++) {
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for (i = 1; i < M+1; i++) {
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ylk[0][k][i] = Slater_inv[i-1][i-1] * Updates[i-1][k-1];
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}
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}
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// Calculate all the ylk from the y0k
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for (l = 1; l < M; l++) {
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for (j = l; j < M+1; j++) {
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breakdown[j] = abs( 1 + ylk[l-1][p[j]][p[j]] );
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}
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lbar = getMaxIndex(breakdown, M+1);
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for (i = 0; i < M; i++) {
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breakdown[i] = 0;
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}
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tmp = p[l];
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p[l] = p[lbar];
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p[lbar] = tmp;
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for (k = l+1; k < M+1; k++) {
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beta = 1 + ylk[l-1][p[l]][p[l]];
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if (beta == 0) {
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cout << "Break-down condition occured. Exiting..." << endl;
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exit;
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}
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for (i = 1; i < M+1; i++) {
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alpha = ylk[l-1][p[k]][p[l]] / beta;
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ylk[l][p[k]][i] = ylk[l-1][p[k]][i] - alpha * ylk[l-1][p[l]][i];
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}
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}
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}
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// Keep the memory location of the passed array 'Slater_inv' before 'Slater_inv'
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// gets reassigned by 'matMul(...)' in the next line, by creating a new
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// pointer 'copy' that points to whereever 'Slater_inv' points to now.
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// double **copy = Slater_inv;
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// Construct A-inverse from A0-inverse and the ylk
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for (l = 0; l < M; l++) {
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k = l+1;
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U = outProd(ylk[l][p[k]], Id[p[k]-1], M);
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beta = 1 + ylk[l][p[k]][p[k]];
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for (i = 0; i < M; i++) {
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for (j = 0; j < M; j++) {
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Al[i][j] = Id[i][j] - U[i][j] / beta;
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}
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}
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Slater_inv = matMul(Al, Slater_inv, M);
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}
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// Overwrite the old values in 'copy' with the new ones in Slater_inv
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// for (i = 0; i < M; i++) {
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// for (j = 0; j < M; j++) {
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// copy[i][j] = Slater_inv[i][j];
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// }
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// }
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// Overwrite the old values in 'linSlater_inv' with the new values in Slater_inv
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for (i = 0; i < M; i++) {
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for (j = 0; j < M; j++) {
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linSlater_inv[0][i+*Dim*j] = Slater_inv[i][j];
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}
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}
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for (l = 0; l < M; l++) {
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for (k = 0; k < M+1; k++) {
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delete [] ylk[l][k];
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}
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delete [] ylk[l], Id[l], U[l], Al[l], Slater_inv[l];
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}
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delete [] p, breakdown;
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}
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@ -1,4 +0,0 @@
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// SM-MaponiA3_f.hpp
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extern "C" {
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void MaponiA3(int **linSlater0, double **linSlater_inv, unsigned int *Dim, unsigned int *N_updates, int **linUpdates, unsigned int *Updates_index);
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}
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@ -1,11 +1,11 @@
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module Sherman_Morrison
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module Sherman_Morrison
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interface
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subroutine MaponiA3(Slater0, Slater_inv, dim, n_updates, Updates, Updates_index) bind(C, name="MaponiA3")
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subroutine MaponiA3(Slater0, Slater_inv, dim, n_updates, Updates, Updates_index) bind(C, name="MaponiA3_f")
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use, intrinsic :: iso_c_binding, only : c_int, c_double
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integer(c_int), intent(in) :: dim, n_updates
|
||||
integer(c_int), dimension(:), allocatable, intent(in) :: Updates_index
|
||||
integer(c_int), dimension(:,:), allocatable, intent(in) :: Slater0, Updates
|
||||
real(c_double), dimension(:,:), allocatable, intent(in) :: Slater0, Updates
|
||||
real(c_double), dimension(:,:), allocatable, intent(in out) :: Slater_inv
|
||||
end subroutine MaponiA3
|
||||
end interface
|
||||
end module Sherman_Morrison
|
||||
end module Sherman_Morrison
|
||||
|
||||
63
cppmain.cpp
63
cppmain.cpp
@ -7,73 +7,52 @@
|
||||
int main() {
|
||||
|
||||
srand((unsigned) time(0));
|
||||
unsigned int randRange = 1; // to get random integers in range [-randRange, randRange]
|
||||
unsigned int M = 3; // Dimension of the Slater-matrix
|
||||
unsigned int i, j; // Indices for iterators
|
||||
|
||||
// Declare, allocate all vectors and matrices and fill them with zeros
|
||||
unsigned int *Ar_index = new unsigned int[M];
|
||||
int **A = new int*[M]; // The matrix to be inverted
|
||||
int **A0 = new int*[M]; // A diagonal matrix with the digonal elements of A
|
||||
int **Ar = new int*[M]; // The update matrix
|
||||
double **A0_inv = new double*[M]; // Inverse of A0
|
||||
for (i = 0; i < M; i++) {
|
||||
A[i] = new int[M];
|
||||
A0[i] = new int[M];
|
||||
Ar[i] = new int[M];
|
||||
A0_inv[i] = new double[M];
|
||||
}
|
||||
double *A = new double[M*M]; // The matrix to be inverted
|
||||
double *A0 = new double[M*M]; // A diagonal matrix with the digonal elements of A
|
||||
double *Ar = new double[M*M]; // The update matrix
|
||||
double *A0_inv = new double[M*M]; // The inverse
|
||||
|
||||
// Fill with zeros
|
||||
for (i = 0; i < M; i++) {
|
||||
for (j = 0; j < M; j++) {
|
||||
A0[i][j] = 0;
|
||||
Ar[i][j] = 0;
|
||||
A0_inv[i][j] = 0;
|
||||
A0[i*M+j] = 0;
|
||||
Ar[i*M+j] = 0;
|
||||
A0_inv[i*M+j] = 0;
|
||||
}
|
||||
}
|
||||
|
||||
// Initialize A with M=3 and fill acc. to Eq. (17) from paper
|
||||
A[0][0] = 1; A[0][1] = 1; A[0][2] = -1;
|
||||
A[1][0] = 1; A[1][1] = 1; A[1][2] = 0;
|
||||
A[2][0] = -1; A[2][1] = 0; A[2][2] = -1;
|
||||
// // Fill A with random numbers from [-randRange,randRange]
|
||||
// // and check if A and A0 are invertable
|
||||
// do {
|
||||
// for (i = 0; i < M; i++) {
|
||||
// for (j = 0; j < M; j++) {
|
||||
// A[i][j] = rand()%(2*randRange+1)-randRange;
|
||||
// }
|
||||
// }
|
||||
// for (i = 0; i < M; i++) {
|
||||
// A0[i][i] = A[i][i];
|
||||
// }
|
||||
// } while (matDet(A, M) == 0 || matDet(A0, M) == 0);
|
||||
A[0] = 1; A[3] = 1; A[6] = -1;
|
||||
A[1] = 1; A[4] = 1; A[7] = 0;
|
||||
A[2] = -1; A[5] = 0; A[8] = -1;
|
||||
|
||||
showMatrix(A, M, "A");
|
||||
|
||||
// Initialize the diagonal matrix A0,
|
||||
// the inverse of A0_inv of diagonal matrix A0_inv
|
||||
// and the update matrix Ar
|
||||
for (i = 0; i < M; i++) {
|
||||
A0[i][i] = A[i][i];
|
||||
A0_inv[i][i] = 1.0/A[i][i];
|
||||
A0[i*M+i] = A[i*M+i];
|
||||
A0_inv[i*M+i] = 1.0/A[i*M+i];
|
||||
Ar_index[i] = i;
|
||||
for (j = 0; j < M; j++) {
|
||||
Ar[i][j] = A[i][j] - A0[i][j];
|
||||
Ar[i*M+j] = A[i*M+j] - A0[i*M+j];
|
||||
}
|
||||
}
|
||||
|
||||
// Define pointers dim and n_updates to use in Sherman-Morrison(...) function call
|
||||
unsigned int *dim = new unsigned int(M);
|
||||
unsigned int *n_updates = new unsigned int(M);
|
||||
Sherman_Morrison(A0, A0_inv, dim, n_updates, Ar, Ar_index);
|
||||
unsigned int dim = M;
|
||||
unsigned int n_updates = M;
|
||||
MaponiA3(A0, A0_inv, dim, n_updates, Ar, Ar_index);
|
||||
showMatrix(A0_inv, M, "A0_inv");
|
||||
|
||||
// Deallocate all vectors and matrices
|
||||
for (i = 0; i < M; i++) {
|
||||
delete [] A[i], A0[i], A0_inv[i], Ar[i];
|
||||
}
|
||||
|
||||
// Deallocate all vectors and matrices
|
||||
delete [] A, A0, A0_inv, Ar, Ar_index;
|
||||
delete dim, n_updates;
|
||||
|
||||
return 0;
|
||||
}
|
||||
}
|
||||
|
||||
24
fmain.f90
24
fmain.f90
@ -6,7 +6,7 @@ program Interface_test
|
||||
integer i, j !! Iterators
|
||||
integer(c_int) :: dim, N_updates
|
||||
integer(c_int), dimension(:), allocatable :: Ar_index
|
||||
integer(c_int), dimension(:,:), allocatable :: A, A0, Ar
|
||||
real(c_double), dimension(:,:), allocatable :: A, A0, Ar
|
||||
real(c_double), dimension(:,:), allocatable :: A0_inv
|
||||
|
||||
dim = 3
|
||||
@ -14,15 +14,15 @@ program Interface_test
|
||||
allocate(Ar_index(dim), A(dim,dim), A0(dim,dim), Ar(dim,dim), A0_inv(dim,dim))
|
||||
|
||||
!! Initialize A with M=3 and fill acc. to Eq. (17) from paper
|
||||
A(1,1) = 1
|
||||
A(1,2) = 1
|
||||
A(1,3) = -1
|
||||
A(2,1) = 1
|
||||
A(2,2) = 1
|
||||
A(2,3) = 0
|
||||
A(3,1) = -1
|
||||
A(3,2) = 0
|
||||
A(3,3) = -1
|
||||
A(1,1) = 1.0d0
|
||||
A(1,2) = 1.0d0
|
||||
A(1,3) = -1.0d0
|
||||
A(2,1) = 1.0d0
|
||||
A(2,2) = 1.0d0
|
||||
A(2,3) = 0.0d0
|
||||
A(3,1) = -1.0d0
|
||||
A(3,2) = 0.0d0
|
||||
A(3,3) = -1.0d0
|
||||
|
||||
!! Prepare the diagonal matrix A0 and the update matrix Ar
|
||||
do i=1,dim
|
||||
@ -32,13 +32,13 @@ program Interface_test
|
||||
A0(i,j) = A(i,j)
|
||||
A0_inv(i,j) = 1.0d0 / A0(i,j)
|
||||
else
|
||||
A0(i,j) = 0
|
||||
A0(i,j) = 0.0d0
|
||||
A0_inv(i,j) = 0.0d0
|
||||
end if
|
||||
Ar(i,j) = A(i,j) - A0(i,j)
|
||||
end do
|
||||
end do
|
||||
|
||||
|
||||
call MaponiA3(A0, A0_inv, dim, n_updates, Ar, Ar_index)
|
||||
|
||||
do i=1,dim
|
||||
|
||||
Loading…
Reference in New Issue
Block a user