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pzskylmat.cpp
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//EBORIN: Uncomment the following lines to enable matrices do be dumped before decompose/subst
//#define DUMP_BEFORE_DECOMPOSE
//#define DUMP_BEFORE_SUBST
#include "arglib.h"
/**
* @file
* @brief Contains the implementation of the TPZSkylMatrix methods.
*/
#include <math.h>
#include <stdlib.h>
#include <random>
#include "pzfmatrix.h"
#include "pzskylmat.h"
#include <sstream>
#include "pzlog.h"
#include "tpzverysparsematrix.h"
#include "TPZParallelUtils.h"
#ifdef PZ_LOG
static TPZLogger logger("pz.matrix.tpzskylmatrix");
#endif
using namespace std;
/*******************/
/*** TPZSkylMatrix ***/
/**************************** PUBLIC ****************************/
/*****************************/
/*** Construtor (int) ***/
template<class TVar>
TPZSkylMatrix<TVar>::TPZSkylMatrix(const int64_t dim )
: TPZRegisterClassId(&TPZSkylMatrix::ClassId),TPZMatrix<TVar>( dim, dim ), fElem(dim+1), fStorage(0)
{
// Inicializa a diagonal (vazia).
fElem.Fill(0);
}
template<class TVar>
TPZSkylMatrix<TVar>::TPZSkylMatrix(const int64_t dim, const TPZVec<int64_t> &skyline )
: TPZRegisterClassId(&TPZSkylMatrix::ClassId),TPZMatrix<TVar>( dim, dim ), fElem(dim+1), fStorage(0)
{
// Inicializa a diagonal (vazia).
fElem.Fill(0);
InitializeElem(skyline,fStorage,fElem);
}
template<class TVar>
void TPZSkylMatrix<TVar>::AddSameStruct(TPZSkylMatrix<TVar> &B, double k){
#ifdef PZDEBUG
{
int64_t size = this->fElem.NElements();
if(size != B.fElem.NElements()){
PZError << "\nFATAL ERROR at " << __PRETTY_FUNCTION__ << "\n";
PZError.flush();
DebugStop();
}
for(int64_t i = 0; i < size; i++){
if((this->fElem[i]-this->fElem[0]) != (B.fElem[i]-B.fElem[0])){
PZError << "\nFATAL ERROR at " << __PRETTY_FUNCTION__ << "\n";
PZError.flush();
DebugStop();
}
}
}
#endif
const int64_t n = this->fStorage.NElements();
for(int64_t i = 0L; i < n; i++) this->fStorage[i] += TVar(k)*B.fStorage[i];
}
template<class TVar>
void TPZSkylMatrix<TVar>::CheckTypeCompatibility(const TPZMatrix<TVar>*A,
const TPZMatrix<TVar>*B)const
{
auto incompatSkyline = [](){
PZError<<__PRETTY_FUNCTION__;
PZError<<"\nERROR: incompatible matrices\n.Aborting...\n";
DebugStop();
};
auto aPtr = dynamic_cast<const TPZSkylMatrix<TVar>*>(A);
auto bPtr = dynamic_cast<const TPZSkylMatrix<TVar>*>(B);
if(!aPtr || !bPtr){
incompatSkyline();
}
bool check{false};
auto ncols = aPtr->Cols();
for(auto i = 0; i < ncols; i++){
check = check || aPtr->Size(i) != bPtr->Size(i);
}
if(check) incompatSkyline();
}
/**
* @brief Updates the values of the matrix based on the values of the matrix
*/
template<class TVar>
void TPZSkylMatrix<TVar>::UpdateFrom(TPZAutoPointer<TPZMatrix<TVar> > mat)
{
TPZMatrix<TVar> *matrix = mat.operator->();
TPZSkylMatrix<TVar> *skylmat = dynamic_cast<TPZSkylMatrix<TVar> *>(matrix);
if (!skylmat) {
DebugStop();
}
if (fStorage.NElements() != skylmat->fStorage.NElements()) {
DebugStop();
}
memcpy(&fStorage[0], &(skylmat->fStorage[0]) , fStorage.NElements()*sizeof(TVar));
this->fDecomposed = skylmat->fDecomposed;
this->fDefPositive = skylmat->fDefPositive;
}
template<class TVar>
void TPZSkylMatrix<TVar>::SetSkyline(const TPZVec<int64_t> &skyline)
{
#ifdef PZDEBUG
for (int64_t i = 0 ; i < this->Rows() ; i++){
if (skyline[i] < 0 || skyline[i] > i) DebugStop();
}
#endif
fElem.Fill(0);
InitializeElem(skyline,fStorage,fElem);
}
template<class TVar>
int64_t TPZSkylMatrix<TVar>::NumElements(const TPZVec<int64_t> &skyline) {
int64_t dim = skyline.NElements();
int64_t i;
int64_t nelem=0;
for(i=0; i<dim; i++) {
nelem += i-skyline[i]+1;
}
return nelem;
}
template<class TVar>
void TPZSkylMatrix<TVar>::InitializeElem(const TPZVec<int64_t> &skyline, TPZVec<TVar> &storage, TPZVec<TVar *> &point) { // JORGE 2013 OUTUBRO ???
int64_t dim = skyline.NElements();
int64_t nel = NumElements(skyline);
#ifdef PZDEBUG
// std::cout << "Skyline Matrix, Number of elements : " << nel << " in floating point " << nel*sizeof(TVar) << std::endl;
#endif
storage.Resize(nel);
storage.Fill(0.);
int64_t i;
point.Resize(dim+1);
if(dim) {
point[0] = &storage[0];
point[dim] = &storage[0]+nel;
} else {
point[0] = 0;
}
for(i=1; i<dim+1; i++)
point[i] = point[i-1]+(i-1)-skyline[i-1]+1;
}
/**
Computes the highest skyline of both objects
*/
template<class TVar>
void TPZSkylMatrix<TVar>::ComputeMaxSkyline(const TPZSkylMatrix<TVar> &first, const TPZSkylMatrix<TVar> &second, TPZVec<int64_t> &res) {
if (first.Rows() != second.Rows()) {
cout<<"ComputeMaxSkyline : incompatible dimension";
return;
}
int64_t i, dim = first.Rows();
res.Resize(dim+1);
for(i=1; i<dim+1; i++) {
int64_t aux = ( first.Size(i) > second.Size(i) ) ? first.Size(i) : second.Size(i);
res[i] = i-aux-1;
}
}
template<class TVar>
TVar &
TPZSkylMatrix<TVar>::operator()(const int64_t r, const int64_t c) {
int64_t row(r),col(c);
if ( row > col ) this->Swap( &row, &col );
// Indice do vetor coluna.
int64_t index = col - row;
if ( index >= Size(col) ) {
//Error("TPZSkylMatrix::operator()","Index out of range");
TPZMatrix<TVar>::Error(__PRETTY_FUNCTION__,"Index out of range");
DebugStop();
}
return fElem[col][index];
}
template<class TVar>
TVar &TPZSkylMatrix<TVar>::s(const int64_t row, const int64_t col) {
return operator()(row,col);
}
template<class TVar>
TVar &
TPZSkylMatrix<TVar>::operator()(const int64_t r) {
return operator()(r,r);
}
//EBORIN: Define these if you want to use the experimental version.
//#define DECOMPOSE_CHOLESKY_OPT2
//#define SKYLMATRIX_PUTVAL_OPT1
//#define SKYLMATRIX_GETVAL_OPT1
#ifdef SKYLMATRIX_PUTVAL_OPT1
#pragma message ( "warning: Using experimental version of TPZSkylMatrix<TVAr>::PutVal(...)" )
/**************/
/*** PutVal ***/
template<class TVar>
int
TPZSkylMatrix<TVar>::PutVal(const int64_t r,const int64_t c,const TVar & value )
{
// inicializando row e col para trabalhar com a triangular superior
if (r > c) return PutVal(c, r, value);
// Indice do vetor coluna.
int64_t index = c - r;
// Se precisar redimensionar o vetor.
//EBORIN: Do we really need to check this?
if (index >= Size(c)) {
if (!IsZero(value)) {
cout << "TPZSkylMatrix::PutVal Size" << Size(c);
cout.flush();
TPZMatrix<TVar>::Error(__PRETTY_FUNCTION__,"Index out of range");
}
else
return 1;
}
fElem[c][index] = value;
this->fDecomposed = 0;
return (1);
}
#else
/**************/
/*** PutVal ***/
template<class TVar>
int
TPZSkylMatrix<TVar>::PutVal(const int64_t r,const int64_t c,const TVar & value )
{
// inicializando row e col para trabalhar com a triangular superior
int64_t row(r),col(c);
if ( row > col )
this->Swap( &row, &col );
// Indice do vetor coluna.
int64_t index = col - row;
// Se precisar redimensionar o vetor.
//EBORIN: Do we really need to check this?
if ( index >= Size(col) && !IsZero(value)) {
cout << "TPZSkylMatrix::PutVal Size" << Size(col);
cout.flush();
TPZMatrix<TVar>::Error(__PRETTY_FUNCTION__,"Index out of range");
} else if(index >= Size(col)) return 1;
fElem[col][index] = value;
// delete[]newVet;
this->fDecomposed = 0;
return( 1 );
}
#endif
template<class TVar>
void TPZSkylMatrix<TVar>::MultAdd(const TPZFMatrix<TVar> &x,const TPZFMatrix<TVar> &y, TPZFMatrix<TVar> &z,
const TVar alpha,const TVar beta ,const int opt) const {
// Computes z = beta * y + alpha * opt(this)*x
// z and x cannot overlap in memory
if (this->fDecomposed != ENoDecompose) {
// DebugStop();
}
if ((!opt && this->Cols() != x.Rows()) || this->Rows() != x.Rows())
TPZMatrix<TVar>::Error(__PRETTY_FUNCTION__," <matrixs with incompatible dimensions>" );
if(z.Rows() != x.Rows() || z.Cols() != x.Cols()) z.Redim(x.Rows(),x.Cols());
if(x.Cols() != y.Cols() || x.Cols() != z.Cols() || x.Rows() != y.Rows() || x.Rows() != z.Rows()) {
cout << "x.Cols = " << x.Cols() << " y.Cols()"<< y.Cols() << " z.Cols() " << z.Cols() << " x.Rows() " << x.Rows() << " y.Rows() "<< y.Rows() << " z.Rows() "<< z.Rows() << endl;
TPZMatrix<TVar>::Error(__PRETTY_FUNCTION__," incompatible dimensions\n");
}
this->PrepareZ(y,z,beta,opt);
const int64_t rows = this->Rows();
const int64_t xcols = x.Cols();
for (auto ic = 0; ic < xcols; ic++) {
for(auto r = 0 ; r < rows ; r++ ) {
const int64_t offset = Size(r);
TVar val = 0.;
const TVar *p = &x.g((r-offset+1),ic);
TVar *diag = fElem[r] + offset-1;
const TVar *diaglast = fElem[r];
while( diag > diaglast ) {
if constexpr (is_complex<TVar>::value){
if(opt) val += *diag-- * *p;
else val += std::conj(*diag--) * *p;
}else{
val += *diag-- * *p;
}
p ++;
}
if( diag == diaglast ) val += *diag * *p;
z(r,ic) += val*alpha;
TVar *zp = &z((r-offset+1),ic);
val = x.GetVal(r,ic);
diag = fElem[r] + offset-1;
while( diag > diaglast ) {
if constexpr (is_complex<TVar>::value){
if(opt) *zp += alpha * std::conj(*diag--) * val;
else *zp += alpha * *diag-- * val;
}else{
*zp += alpha * *diag-- * val;
}
zp ++;
}
}
}
}
template<class TVar>
void TPZSkylMatrix<TVar>::SolveSOR(int64_t & numiterations,const TPZFMatrix<TVar> &F,
TPZFMatrix<TVar> &result, TPZFMatrix<TVar> *residual, TPZFMatrix<TVar> &scratch,const REAL overrelax,
REAL &tol,const int FromCurrent,const int direction) {
if(residual == &F) {
cout << "TPZMatrix::SolveSOR called with residual and F equal, no solution\n";
return;
}
REAL res = 2.*tol+1.;
if(residual) res = Norm(*residual);
if(!FromCurrent) {
result.Zero();
}
TVar over = overrelax;
int64_t r = this->Dim();
int64_t c = F.Cols();
int64_t i,ifirst = 0, ilast = r, iinc = 1;
if(direction == -1) {
ifirst = r-1;
ilast = 0;
iinc = -1;
}
int64_t it;
for(it=0; it<numiterations && res > tol; it++) {
res = 0.;
scratch = F;
for(int64_t ic=0; ic<c; ic++) {
if(direction == 1) {
//
// compute the upper triangular part first and put into the scractch vector
//
for(i=ifirst; i!=ilast; i+= iinc) {
//TPZColuna *mydiag = &fDiag[i];
int64_t offset = Size(i);
TVar val;
TVar *diag;
TVar *diaglast = fElem[i];
TVar *scratchp = &scratch(i-offset+1,ic);
val = result(i,ic);
diag = fElem[i] + offset-1;
int64_t lastid = diag-diaglast;
int64_t id;
for(id=0; id<=lastid; id++) *(scratchp+id) -= *(diag-id) * val;
/* codeguard fix
while( diag >= diaglast ) *scratchp++ -= *diag-- * val;
*/
}
//
// perform the SOR operation
//
for(i=ifirst; i!=ilast; i+= iinc) {
//TPZColuna *mydiag = &fDiag[i];
int64_t offset = Size(i);
TVar val = scratch(i,ic);
TVar *p = &result(i-offset+1,ic);
TVar *diag = fElem[i] + offset-1;
TVar *diaglast = fElem[i];
while( diag > diaglast ) val -= *diag-- * *p++;
res += abs(val*val);
result(i,ic) += val*over/ (*diag);
}
} else {
//
// the direction is upward
//
// put the lower triangular part of the multiplication into the scratch vector
//
for(i=ifirst; i!=ilast; i+= iinc) {
//TPZColuna *mydiag = &fDiag[i];
int64_t offset = Size(i);
TVar val = scratch(i,ic);
TVar *p = &result(i-offset+1,ic);
TVar *diag = fElem[i] + offset-1;
TVar *diaglast = fElem[i];
while( diag > diaglast ) val -= *diag-- * *p++;
// res += val*val;
scratch(i,ic) = val;
}
//
// perform the SOR operation
//
for(i=ifirst; i!=ilast; i+= iinc) {
//TPZColuna *mydiag = &fDiag[i];
int64_t offset = Size(i);
// TVar val = scratch(i,ic);
TVar *diag;
TVar *diaglast = fElem[i];
TVar *scratchp = &scratch(i-offset+1,ic);
//val= result(i,ic);
TVar val = scratch(i,ic);
val -= *diaglast * result(i,ic);
res += abs(val*val);
val = over * val / *diaglast;
result(i,ic) += val;
val = result(i,ic);
diag = fElem[i] + offset-1;
while( diag > diaglast ) *scratchp++ -= *diag-- * val;
}
}
}
res = sqrt(res);
}
if(residual) {
this->Residual(result,F,*residual);
}
numiterations = it;
tol = res;
}
#ifdef SKYLMATRIX_GETVAL_OPT1
#pragma message ( "warning: Using experimental version of TPZSkylMatrix<TVAr>::GetVal(...)" )
template<class TVar>
const TVar &
TPZSkylMatrix<TVar>::GetVal(const int64_t r,const int64_t c ) const
{
if (r > c) return GetVal(c,r);
unsigned dim = this->Dim();
//EBORIN: Do we really need to do this? May only when running debug version.
if(r >= dim || c >= dim || r < 0 || c < 0) {
cout << "TPZSkylMatrix::GetVal index out of range row = " << r
<< " col = " << c << endl;
return this->gZero;
}
// Indice do vetor coluna.
int64_t index = c - r;
if ( index < Size(c) ) {
return (fElem[c][index]);
}
else {
if(this->gZero != TVar(0.)) {
cout << "TPZSkylMatrix gZero = " << this->gZero << endl;
DebugStop();
}
return(this->gZero );
}
}
#else
/**************/
/*** GetVal ***/
template<class TVar>
const TVar
TPZSkylMatrix<TVar>::GetVal(const int64_t r,const int64_t c ) const
{
// inicializando row e col para trabalhar com a triangular superior
int64_t row(r),col(c);
if ( row > col ){
this->Swap( &row, &col );
const int64_t index = col - row;
if ( index < Size(col) ){
if constexpr (is_complex<TVar>::value){
return( std::conj(fElem[col][index]) );
}else{
return( fElem[col][index] );
}
}else{
return (TVar)0;
}
}
const int64_t index = col - row;
if ( index < Size(col) )
return( fElem[col][index] );
else {
return (TVar) 0;
}
}
#endif
/******** Operacoes com matrizes SKY LINE ********/
/******************/
/*** Operator = ***/
template<class TVar>
TPZSkylMatrix<TVar> &
TPZSkylMatrix<TVar>::operator=(const TPZSkylMatrix<TVar> &A )
{
Clear();
Copy( A );
return( *this );
}
/******************/
/*** Operator + ***/
template<class TVar>
TPZSkylMatrix<TVar>
TPZSkylMatrix<TVar>::operator+(const TPZSkylMatrix<TVar> &A) const
{
if ( this->Dim() != A.Dim() )
TPZMatrix<TVar>::Error(__PRETTY_FUNCTION__,"<incompatible dimensions>" );
CheckTypeCompatibility(this,&A);
auto res(*this);
const auto size = res.fStorage.size();
for(auto i = 0; i < size; i++) res.fStorage[i] += A.fStorage[i];
return res;
}
/******************/
/*** Operator - ***/
template<class TVar>
TPZSkylMatrix<TVar>
TPZSkylMatrix<TVar>::operator-(const TPZSkylMatrix<TVar> &A ) const
{
if ( this->Dim() != A.Dim() )
TPZMatrix<TVar>::Error(__PRETTY_FUNCTION__,"<incompatible dimensions>" );
CheckTypeCompatibility(this,&A);
auto res(*this);
const auto size = res.fStorage.size();
for(auto i = 0; i < size; i++) res.fStorage[i] -= A.fStorage[i];
return res;
}
template<class TVar>
void TPZSkylMatrix<TVar>::AddKel(TPZFMatrix<TVar>&elmat,
TPZVec<int64_t> &source,
TPZVec<int64_t> &destination)
{
int64_t nelem = source.NElements();
int64_t icoef,jcoef,ieq,jeq,ieqs,jeqs;
for(icoef=0; icoef<nelem; icoef++) {
ieq = destination[icoef];
ieqs = source[icoef];
for(jcoef=icoef; jcoef<nelem; jcoef++) {
jeq = destination[jcoef];
jeqs = source[jcoef];
int64_t row(ieq), col(jeq);
// invertendo linha-coluna para triangular superior
if (row > col)
this->Swap(&row, &col);
#ifdef PZDEBUG
// checando limites
if(row >= this->Dim() || col >= this->Dim()) {
cout << "TPZSkylMatrix::GetVal index out of range row = " <<
row << " col = " << col << endl;
DebugStop();
}
#endif
// indice do vetor coluna
int64_t index = col - row;
#ifdef PZDEBUG
// checando limite da coluna
if (index >= Size(col)) {
cerr << "Try TPZSkylMatrix gZero." << endl;
DebugStop();
}
#endif
// executando contribuição
fElem[col][index] += elmat(ieqs,jeqs);
}
}
}
template<>
void TPZSkylMatrix<double>::AddKel(TPZFMatrix<double>&elmat,
TPZVec<int64_t> &source,
TPZVec<int64_t> &destination)
{
int64_t nelem = source.NElements();
int64_t icoef,jcoef,ieq,jeq,ieqs,jeqs;
for(icoef=0; icoef<nelem; icoef++) {
ieq = destination[icoef];
ieqs = source[icoef];
for(jcoef=icoef; jcoef<nelem; jcoef++) {
jeq = destination[jcoef];
jeqs = source[jcoef];
int64_t row(ieq), col(jeq);
// invertendo linha-coluna para triangular superior
if (row > col)
this->Swap(&row, &col);
#ifdef PZDEBUG
// checando limites
if(row >= this->Dim() || col >= this->Dim()) {
cout << "TPZSkylMatrix::GetVal index out of range row = " <<
row << " col = " << col << endl;
DebugStop();
}
#endif
// indice do vetor coluna
int64_t index = col - row;
#ifdef PZDEBUG
// checando limite da coluna
if (index >= Size(col)) {
std::cout << "Skyline wrongly configured " << " row " << row << " col " << col << " Size(col) " << Size(col) << std::endl;
cerr << "Try TPZSkylMatrix gZero." << endl;
std::cout << destination << std::endl;
DebugStop();
}
#endif
// executando contribuição
pzutils::AtomicAdd(fElem[col][index],elmat(ieqs,jeqs));
}
}
}
template<>
void TPZSkylMatrix<float>::AddKel(TPZFMatrix<float>&elmat,
TPZVec<int64_t> &source,
TPZVec<int64_t> &destination)
{
int64_t nelem = source.NElements();
int64_t icoef,jcoef,ieq,jeq,ieqs,jeqs;
for(icoef=0; icoef<nelem; icoef++) {
ieq = destination[icoef];
ieqs = source[icoef];
for(jcoef=icoef; jcoef<nelem; jcoef++) {
jeq = destination[jcoef];
jeqs = source[jcoef];
int64_t row(ieq), col(jeq);
// invertendo linha-coluna para triangular superior
if (row > col)
this->Swap(&row, &col);
#ifdef PZDEBUG
// checando limites
if(row >= this->Dim() || col >= this->Dim()) {
cout << "TPZSkylMatrix::GetVal index out of range row = " <<
row << " col = " << col << endl;
DebugStop();
}
#endif
// indice do vetor coluna
int64_t index = col - row;
#ifdef PZDEBUG
// checando limite da coluna
if (index >= Size(col)) {
cerr << "Try TPZSkylMatrix gZero." << endl;
DebugStop();
}
#endif
// adding contribution
pzutils::AtomicAdd(fElem[col][index], elmat(ieqs,jeqs));
}
}
}
/*******************/
/*** Operator += ***/
template<class TVar>
TPZSkylMatrix<TVar> &
TPZSkylMatrix<TVar>::operator+=(const TPZSkylMatrix<TVar> &A)
{
if ( this->Dim() != A.Dim() )
TPZMatrix<TVar>::Error(__PRETTY_FUNCTION__,"operator+=( TPZSkylMatrix ) <incompatible dimensions>" );
*this = *this + A;
return *this;
}
/*******************/
/*** Operator -= ***/
template<class TVar>
TPZSkylMatrix<TVar> &
TPZSkylMatrix<TVar>::operator-=(const TPZSkylMatrix<TVar> &A )
{
if ( this->Dim() != A.Dim() )
TPZMatrix<TVar>::Error(__PRETTY_FUNCTION__,"operator+=( TPZSkylMatrix ) <incompatible dimensions>" );
*this = *this - A;
return *this;
}
/******** Operacoes com valores NUMERICOS ********/
//
// As operacoes com valores numericos sao efetuadas apenas nos
// elementos alocados. Em especial, as operacoes A = 0.0 e A *= 0.0
// desalocam todos os elementos da matriz.
//
/*****************************/
/*** Operator * ( TVar ) ***/
template<class TVar>
TPZSkylMatrix<TVar>
TPZSkylMatrix<TVar>::operator*(const TVar value ) const
{
auto res(*this);
for ( int64_t col = 0; col < this->Dim(); col++ )
{
// Aloca nova coluna para o resultado.
int64_t colsize = Size(col);
// Efetua a SOMA.
TVar *elemRes = res.fElem[col];
for ( int64_t i = 0; i < colsize; i++ )
*elemRes++ *= value;
}
return res;
}
/******************************/
/*** Operator *= ( TVar ) ***/
template<class TVar>
TPZSkylMatrix<TVar> &
TPZSkylMatrix<TVar>::operator*=(const TVar value )
{
if ( IsZero( value ) )
{
Zero();
return( *this );
}
int64_t col, colmax = this->Dim();
for (col=0; col<colmax; col++ )
{
// Efetua a MULTIPLICACAO.
TVar *elem = fElem[col];
TVar *end = fElem[col+1];
while ( elem < end ) *elem++ *= value;
}
this->fDecomposed = 0;
return( *this );
}
/**************/
/*** Resize ***/
//
// Muda as dimensoes da matriz, mas matem seus valores antigos. Novas
// posicoes sao criadas com ZEROS.
//
template<class TVar>
int TPZSkylMatrix<TVar>::Resize( int64_t newDim ,int64_t ) {
if ( newDim == this->Dim() )
return( 1 );
fElem.Resize(newDim+1);
// Cria nova matrix.
// Copia os elementos para a nova matriz.
int64_t min = MIN( newDim, this->Dim() );
int64_t i;
for ( i = min+1; i <= newDim; i++ )
fElem[i] = fElem[i-1];
// Zera as posicoes que sobrarem (se sobrarem)
fStorage.Resize(fElem[newDim]-fElem[0]);
this->fRow = this->fCol = newDim;
this->fDecomposed = 0;
return( 1 );
}
/*************/
/*** Redim ***/
//
// Muda as dimensoes da matriz e ZERA seus elementos.
//
template<class TVar>
int
TPZSkylMatrix<TVar>::Redim( int64_t newDim , int64_t)
{
if ( newDim == this->Dim() )
{
Zero();
return( 1 );
}
Clear();
fElem.Resize(newDim);
fElem.Fill(0);
this->fRow = this->fCol = newDim;
this->fDecomposed = 0;
return( 1 );
}
/**************************/
/*** Decompose Cholesky ***/
template<class TVar>
int
TPZSkylMatrix<TVar>::Decompose_Cholesky(std::list<int64_t> &singular)
{
if(this->fDecomposed == ECholesky) return 1;
if ( this->fDecomposed ) TPZMatrix<TVar>::Error(__PRETTY_FUNCTION__, "Decompose_Cholesky <Matrix already Decomposed>" );
#ifdef DUMP_BEFORE_DECOMPOSE
dump_matrix(this, "TPZSkylMatrix::Decompose_Cholesky(singular)");
#endif
singular.clear();
TVar pivot;
RTVar Tol;
ZeroTolerance(Tol);
int64_t dimension = this->Dim();
/* if(Dim() > 100) {
cout << "\nTPZSkylMatrix Cholesky decomposition Dim = " << Dim() << endl;
cout.flush();
}*/
for ( int64_t k = 0; k < dimension; k++ )
{
/* if(!(k%100) && Dim() > 100) {
cout << k << ' ';
cout.flush();
}
if(!(k%1000)) cout << endl;*/
if ( Size(k) == 0 ) return( 0 );
// Faz sum = SOMA( A(k,p) * A(k,p) ), p = 1, ..., k-1.
//
TVar sum = 0.0;
TVar *elem_k = fElem[k]+1;
TVar *end_k = fElem[k]+Size(k);
if constexpr (is_complex<TVar>::value){
for ( ; elem_k < end_k; elem_k++ ) sum += std::conj(*elem_k) * (*elem_k);
}else{
#pragma clang loop vectorize_width(2)
for ( ; elem_k < end_k; elem_k++ ) sum += (*elem_k) * (*elem_k);
}
// Faz A(k,k) = sqrt( A(k,k) - sum ).
//
pivot = fElem[k][0] - sum;
// if ( pivot < ((TVar)1.e-9) ) {
if(abs(pivot) < Tol) {
singular.push_back(k);
std::cout << __FUNCTION__ << " Singular equation pivot " << pivot << " k " << k << std::endl;
pivot = 1.;
}
// A matriz nao e' definida positiva.
pivot = fElem[k][0] = sqrt( pivot );
// Loop para i = k+1 ... Dim().
//
int64_t i=k+1;
for ( int64_t j = 2; i<dimension; j++,i++ ) {
// Se tiverem elementos na linha 'i' cuja coluna e'
// menor do que 'K'...
if ( Size(i) > j ) {
// Faz sum = SOMA( A(i,p) * A(k,p) ), p = 1,..,k-1.
sum = 0.0;
TVar *elem_i = &fElem[i][j];
TVar *end_i = fElem[i+1];
elem_k = &(fElem[k][1]);
// Vectorizable loop
unsigned max_l = end_i - elem_i;
unsigned tmp = end_k - elem_k;
if (tmp < max_l) max_l = tmp;
if constexpr (is_complex<TVar>::value){
for(unsigned l=0; l<max_l; l++)
sum += (*elem_i++) * std::conj(*elem_k++);
}else{
#pragma clang loop vectorize_width(2)
for(unsigned l=0; l<max_l; l++)
sum += (*elem_i++) * (*elem_k++);
}
// Faz A(i,k) = (A(i,k) - sum) / A(k,k)
fElem[i][j-1] = (fElem[i][j-1] -sum) / pivot;
} else if ( Size(i) == j ) fElem[i][j-1] /= pivot;
// Se nao tiverem estes elementos, sum = 0.0.
// Se nao existir nem o elemento A(i,k), nao faz nada.
}
}
if(this->Rows() && fabs(GetVal(this->Rows()-1,this->Rows()-1)) < fabs((TVar)1.e-15))
{
singular.push_back(this->Rows()-1);
PutVal(this->Rows()-1,this->Rows()-1,1.);
}
this->fDecomposed = ECholesky;
this->fDefPositive = 1;
return( 1 );
}
clarg::argBool clk_rea("-skl_chk_rea", "Reallocate Skyline data before Cholesky Decomposition");
template<class TVar>
int
TPZSkylMatrix<TVar>::Decompose_Cholesky()
{
if(this->fDecomposed == ECholesky) return 1;
if (this->fDecomposed ) TPZMatrix<TVar>::Error(__PRETTY_FUNCTION__, "Decompose_Cholesky <Matrix already Decomposed>" );
#ifdef DUMP_BEFORE_DECOMPOSE
dump_matrix(this, "TPZSkylMatrix::Decompose_Cholesky()");
#endif
TVar pivot;
TVar minpivot = 10000.;
int64_t dimension = this->Dim();
/* if(Dim() > 100) {
cout << "\nTPZSkylMatrix Cholesky decomposition Dim = " << Dim() << endl;
cout.flush();
}*/
if (clk_rea.was_set())
ReallocForNuma();
// #define DECOMPOSE_CHOLESKY_OPT2 // EBORIN: Optimization 2 -- See bellow
#ifdef DECOMPOSE_CHOLESKY_OPT2
//#pragma message ( "warning: Using experimental (last_col check) version of TPZSkylMatrix<TVar>::Decompose_Cholesky()" )
PZError << "warning: Using experimental (last_col check) version of TPZSkylMatrix<TVar>::Decompose_Cholesky()" << std::endl;
TPZVec<int64_t> last_col(dimension);
{
int64_t y = dimension-1;
for (int64_t k=(dimension-1); k>=0; k--) {
int64_t min_row = k-Size(k)+1;
while(y>=min_row) {
last_col[y--] = k;
}
}
}
#endif
for ( int64_t k = 0; k < dimension; k++ )
{
/* if(!(k%100) && Dim() > 100) {
cout << k << ' ';
cout.flush();
}
if(!(k%1000)) cout << endl;*/
if ( Size(k) == 0 ) return( 0 );
// Faz sum = SOMA( A(k,p) * A(k,p) ), p = 1, ..., k-1.
//
TVar sum = 0.0;
TVar *elem_k = fElem[k]+1;
TVar *end_k = fElem[k]+Size(k);
if constexpr(is_complex<TVar>::value){
for ( ; elem_k < end_k; elem_k++ ) sum += (*elem_k) * std::conj(*elem_k);
}else{
#pragma clang loop vectorize_width(2)
for ( ; elem_k < end_k; elem_k++ ) sum += (*elem_k) * (*elem_k);
}
// Faz A(k,k) = sqrt( A(k,k) - sum ).
//
pivot = fElem[k][0] - sum;
if constexpr (is_complex<TVar>::value){
minpivot = abs(minpivot) < abs(pivot) ? minpivot : pivot;
if ( IsZero(pivot) ) {
cout << "TPZSkylMatrix::DecomposeCholesky matrix is not positive definite" << pivot << endl;
return( 0 );
}
}else{
minpivot = minpivot < pivot ? minpivot : pivot;
if ( pivot < ((RTVar)0.) || IsZero(pivot) ) {
cout << "TPZSkylMatrix::DecomposeCholesky matrix is not positive definite" << pivot << endl;
return( 0 );
}
}
// A matriz nao e' definida positiva.
pivot = fElem[k][0] = sqrt( pivot );
// Loop para i = k+1 ... Dim().
//
int64_t i=k+1;