| 1 |
#include "gestionversion.h"
|
| 2 |
//---------------------------------------------------------------------------
|
| 3 |
#include "matcreuse.h"
|
| 4 |
|
| 5 |
#pragma hdrstop
|
| 6 |
|
| 7 |
|
| 8 |
//---------------------------------------------------------------------------
|
| 9 |
|
| 10 |
#pragma package(smart_init)
|
| 11 |
|
| 12 |
|
| 13 |
|
| 14 |
void ::MatCr::Row::add(int index, double val) {
|
| 15 |
for(int i=0; i<size(); i++) {
|
| 16 |
if((*this)[i].index == index) {
|
| 17 |
(*this)[i].a += val ;
|
| 18 |
return ;
|
| 19 |
}
|
| 20 |
}
|
| 21 |
if(val!=0.)
|
| 22 |
std::vector<Coeff>::push_back(Coeff(index, val)) ;
|
| 23 |
}
|
| 24 |
double ::MatCr::Row::get(int j) {
|
| 25 |
for(int i=0; i<size(); i++) {
|
| 26 |
if((*this)[i].index == j)
|
| 27 |
return(*this)[i].a ;
|
| 28 |
|
| 29 |
}
|
| 30 |
return 0.;
|
| 31 |
}
|
| 32 |
void ::MatCr::Row::set(int index, double val)
|
| 33 |
{
|
| 34 |
if(val!=0.)
|
| 35 |
{
|
| 36 |
for(int i=0; i<size(); i++) {
|
| 37 |
if((*this)[i].index == index) {
|
| 38 |
(*this)[i].a = val ;
|
| 39 |
return ;
|
| 40 |
}
|
| 41 |
}
|
| 42 |
}
|
| 43 |
if(val!=0.)
|
| 44 |
std::vector<Coeff>::push_back(Coeff(index, val)) ;
|
| 45 |
}
|
| 46 |
double ::MatCr::Row::row_max()
|
| 47 |
{
|
| 48 |
double max=fabs((*this)[0].a);
|
| 49 |
for(int i=0; i<size(); i++) {
|
| 50 |
if(fabs((*this)[i].a) > max) max=fabs((*this)[i].a);
|
| 51 |
return max;
|
| 52 |
|
| 53 |
}
|
| 54 |
}
|
| 55 |
|
| 56 |
|
| 57 |
|
| 58 |
|
| 59 |
|
| 60 |
MatCr::MatCr(int dim) : dimension(dim)
|
| 61 |
{
|
| 62 |
row = new Row[dim] ;
|
| 63 |
}
|
| 64 |
|
| 65 |
MatCr::~MatCr()
|
| 66 |
{
|
| 67 |
delete[] row;
|
| 68 |
}
|
| 69 |
// aij <- aij + val
|
| 70 |
void MatCr::add(int i, int j, double val) {
|
| 71 |
if(j>=i)
|
| 72 |
row[i].add(j, val) ;
|
| 73 |
}
|
| 74 |
void MatCr::set(int i, int j, double val) {
|
| 75 |
row[i].set(j, val) ;
|
| 76 |
}
|
| 77 |
double MatCr::get(int i, int j) {
|
| 78 |
if(i>j){
|
| 79 |
int tmp=j;
|
| 80 |
j=i;
|
| 81 |
i=tmp;}
|
| 82 |
return row[i].get(j) ;
|
| 83 |
}
|
| 84 |
|
| 85 |
|
| 86 |
|
| 87 |
double MatCr:: get_max()
|
| 88 |
{
|
| 89 |
double max=0.;
|
| 90 |
for(int i=0;i<dimension;i++)
|
| 91 |
{
|
| 92 |
double maxi=row[i].row_max();
|
| 93 |
if (maxi>max) max=maxi;
|
| 94 |
}
|
| 95 |
return max;
|
| 96 |
}
|
| 97 |
void MatCr::diag(double* tmp_diag)
|
| 98 |
{
|
| 99 |
for(int i=0;i<dimension;i++)
|
| 100 |
{
|
| 101 |
tmp_diag[i]=get(i,i);
|
| 102 |
}
|
| 103 |
}
|
| 104 |
// A <- 0
|
| 105 |
void MatCr::clear() {
|
| 106 |
for(int i=0; i<dimension; i++) {
|
| 107 |
row[i].clear() ;
|
| 108 |
}
|
| 109 |
}
|
| 110 |
// number of non-zero coefficients
|
| 111 |
int MatCr::nnz() const {
|
| 112 |
int result = 0 ;
|
| 113 |
for(int i=0; i<dimension; i++) {
|
| 114 |
result += row[i].size() ;
|
| 115 |
}
|
| 116 |
return result ;
|
| 117 |
}
|
| 118 |
|
| 119 |
/*
|
| 120 |
void MatCr::mul(double* y, const double* x)
|
| 121 |
{
|
| 122 |
for(int i=0; i<this->dimension; i++)
|
| 123 |
{
|
| 124 |
y[i] = 0 ;
|
| 125 |
const Row& R = this->row[i] ;
|
| 126 |
for(int jj=0; jj<this->dimension; jj++)
|
| 127 |
{
|
| 128 |
y[i] += this->get(i,jj)* x[jj] ;
|
| 129 |
}
|
| 130 |
/*
|
| 131 |
for(int jj=0; jj<R.size(); jj++)
|
| 132 |
{
|
| 133 |
y[i] += R[jj].a * x[ R[jj].index ] ;
|
| 134 |
} /
|
| 135 |
}
|
| 136 |
} */
|
| 137 |
|
| 138 |
void MatCr::convert_to_CRS(const MatCr& M, CRSMatrix& M_CRS,int array_base) // 0 pour le C, 1 pour le Fortran
|
| 139 |
{
|
| 140 |
M_CRS.N = M.dimension ;
|
| 141 |
M_CRS.NNZ = M.nnz() ;
|
| 142 |
M_CRS.a = new double[M_CRS.NNZ] ;
|
| 143 |
M_CRS.col_ind = new int[M_CRS.NNZ] ;
|
| 144 |
M_CRS.row_ptr = new int[M_CRS.N+1] ;
|
| 145 |
int count = 0 ;
|
| 146 |
for(int i=0; i<M_CRS.N; i++)
|
| 147 |
{
|
| 148 |
const MatCr::Row& R = M.row[i] ;
|
| 149 |
M_CRS.row_ptr[i] = count + array_base ;
|
| 150 |
for(int jj=0; jj<R.size(); jj++)
|
| 151 |
{
|
| 152 |
M_CRS.a[count] = R[jj].a ;
|
| 153 |
M_CRS.col_ind[count] = R[jj].index + array_base ;
|
| 154 |
count++ ;
|
| 155 |
}
|
| 156 |
}
|
| 157 |
M_CRS.row_ptr[M_CRS.N] = M_CRS.NNZ + array_base ;
|
| 158 |
}
|
| 159 |
|
| 160 |
void MatCr::mult(double* y, CRSMatrix* M, double* x)
|
| 161 |
{
|
| 162 |
for(int i=0; i<M->N; i++) {
|
| 163 |
y[i] = 0.0 ;
|
| 164 |
for(int jj=M->row_ptr[i]; jj<M->row_ptr[i+1]; jj++) {
|
| 165 |
y[i] += M->a[jj] * x[M->col_ind[jj]] ;
|
| 166 |
}
|
| 167 |
}
|
| 168 |
}
|
| 169 |
|
| 170 |
|
| 171 |
void MatCr::pcg(double* b,double*x,double eps)
|
| 172 |
{
|
| 173 |
|
| 174 |
/*
|
| 175 |
CGS(const Matrix &A, Vector &x, const Vector &b,
|
| 176 |
const Preconditioner &M, int &max_iter, Real &tol)
|
| 177 |
{
|
| 178 |
double resid;
|
| 179 |
Vector rho_1(1), rho_2(1), alpha(1), beta(1);
|
| 180 |
Vector p, phat, q, qhat, vhat, u, uhat;
|
| 181 |
|
| 182 |
double normb = get_norm(b,n);
|
| 183 |
Vector r = b - A*x;
|
| 184 |
Vector rtilde = r;
|
| 185 |
|
| 186 |
if (normb == 0.0)
|
| 187 |
normb = 1;
|
| 188 |
|
| 189 |
if ((resid = norm(r) / normb) <= tol) {
|
| 190 |
tol = resid;
|
| 191 |
max_iter = 0;
|
| 192 |
return 0;
|
| 193 |
}
|
| 194 |
|
| 195 |
for (int i = 1; i <= max_iter; i++) {
|
| 196 |
rho_1(0) = dot(rtilde, r);
|
| 197 |
if (rho_1(0) == 0) {
|
| 198 |
tol = norm(r) / normb;
|
| 199 |
return 2;
|
| 200 |
}
|
| 201 |
if (i == 1) {
|
| 202 |
u = r;
|
| 203 |
p = u;
|
| 204 |
} else {
|
| 205 |
beta(0) = rho_1(0) / rho_2(0);
|
| 206 |
u = r + beta(0) * q;
|
| 207 |
p = u + beta(0) * (q + beta(0) * p);
|
| 208 |
}
|
| 209 |
phat = M.solve(p);
|
| 210 |
vhat = A*phat;
|
| 211 |
alpha(0) = rho_1(0) / dot(rtilde, vhat);
|
| 212 |
q = u - alpha(0) * vhat;
|
| 213 |
uhat = M.solve(u + q);
|
| 214 |
x += alpha(0) * uhat;
|
| 215 |
qhat = A * uhat;
|
| 216 |
r -= alpha(0) * qhat;
|
| 217 |
rho_2(0) = rho_1(0);
|
| 218 |
if ((resid = norm(r) / normb) < tol) {
|
| 219 |
tol = resid;
|
| 220 |
max_iter = i;
|
| 221 |
return 0;
|
| 222 |
}
|
| 223 |
}
|
| 224 |
|
| 225 |
tol = resid;
|
| 226 |
return 1; */
|
| 227 |
}
|
| 228 |
|
| 229 |
|
| 230 |
|
| 231 |
|
| 232 |
|
| 233 |
|
| 234 |
|
| 235 |
/*
|
| 236 |
double *r=new double[dimension];
|
| 237 |
double *d=new double[dimension];
|
| 238 |
double *z=new double[dimension];
|
| 239 |
double *Adk=new double[dimension];
|
| 240 |
double *s=new double[dimension];
|
| 241 |
double *dig=new double[dimension];
|
| 242 |
this->diag(dig);
|
| 243 |
double delta_zero;
|
| 244 |
double delta_new=0;
|
| 245 |
|
| 246 |
//mul(q,b);
|
| 247 |
for(int i=0;i<dimension;i++)
|
| 248 |
{
|
| 249 |
x[i]=0.;
|
| 250 |
r[i]=b[i]; //ro=b-A.xo i=0;
|
| 251 |
z[i]=(1./dig[i]) *r[i];
|
| 252 |
d[i]=z[i] ;
|
| 253 |
delta_new+=r[i]*d[i];
|
| 254 |
}
|
| 255 |
|
| 256 |
delta_zero=delta_new ;
|
| 257 |
|
| 258 |
while (fabs(delta_new)>eps)
|
| 259 |
{
|
| 260 |
double dkAdk=0.;
|
| 261 |
double zkrk= 0.;
|
| 262 |
mul(Adk,d);
|
| 263 |
for(int i=0;i<dimension;i++)
|
| 264 |
{
|
| 265 |
dkAdk+=d[i]*Adk[i];
|
| 266 |
zkrk+=z[i]*r[i];
|
| 267 |
}
|
| 268 |
double alpha=zkrk/ dkAdk;
|
| 269 |
for(int i=0;i<dimension;i++)
|
| 270 |
{
|
| 271 |
x[i]+=alpha*d[i];
|
| 272 |
r[i]-=alpha*Adk[i];
|
| 273 |
z[i]+=(1./dig[i]) *r[i];
|
| 274 |
}
|
| 275 |
|
| 276 |
double delta_old=zkrk;
|
| 277 |
delta_new=0.;
|
| 278 |
for(int i=0;i<dimension;i++)
|
| 279 |
{
|
| 280 |
delta_new+=z[i]*r[i];
|
| 281 |
}
|
| 282 |
|
| 283 |
|
| 284 |
double beta=delta_new/delta_old;
|
| 285 |
for(int i=0;i<dimension;i++)
|
| 286 |
{
|
| 287 |
d[i]=z[i]+beta*d[i];
|
| 288 |
}
|
| 289 |
|
| 290 |
}
|
| 291 |
delete [] r;
|
| 292 |
delete [] d;
|
| 293 |
//delete [] q;
|
| 294 |
delete [] s;
|
| 295 |
delete [] dig;
|
| 296 |
} */
|
| 297 |
|
| 298 |
|
| 299 |
|
| 300 |
|
| 301 |
MatCr& MatCr::Get_LU(int*perm,double&d)
|
| 302 |
{ |
| 303 |
static const double petit=double(1.0e-20); |
| 304 |
int taille=dimension; |
| 305 |
int imax,i,j,k; |
| 306 |
vector<double> v1(taille); |
| 307 |
double maxi,temp,som,dum; |
| 308 |
d=1; |
| 309 |
|
| 310 |
for(int i=0;i<taille;i++) |
| 311 |
{
|
| 312 |
maxi=row[i].row_max();
|
| 313 |
v1[i]=1./maxi;
|
| 314 |
} |
| 315 |
|
| 316 |
for(j=0;j<taille;j++) |
| 317 |
{ |
| 318 |
//cherche les colonnnes de lamatrice L (triangulaire inferieur |
| 319 |
for(i=0;i<j;i++) |
| 320 |
{ |
| 321 |
som=get(i,j);//[i][j]; |
| 322 |
for(k=0;k<i;k++) |
| 323 |
som-=get(i,k)*get(k,j); |
| 324 |
set(i,j,som); |
| 325 |
} |
| 326 |
maxi=0; |
| 327 |
|
| 328 |
//cherches les lignes de la matrice triangulaire superieur |
| 329 |
for(i=j;i<taille;i++) |
| 330 |
{ |
| 331 |
som=get(i,j); |
| 332 |
for(k=0;k<j;k++) |
| 333 |
som-=get(i,k)*get(k,j); |
| 334 |
set(i,j,som); |
| 335 |
//vèrificstion de pivot |
| 336 |
if((dum=v1[i]*fabs(som))>=maxi) |
| 337 |
{ |
| 338 |
maxi=dum; |
| 339 |
imax=i; |
| 340 |
} |
| 341 |
} |
| 342 |
//permuation des lignes imax et j |
| 343 |
if(j!=imax) |
| 344 |
{ |
| 345 |
for(k=0;k<taille;k++) |
| 346 |
{ |
| 347 |
dum=get(imax,k); |
| 348 |
set(imax,k,get(j,k)); |
| 349 |
set(j,k,dum); |
| 350 |
} |
| 351 |
d*=-1; |
| 352 |
v1[imax]=v1[j]; |
| 353 |
} |
| 354 |
// stoker dans perm la permuattion |
| 355 |
perm[j]=imax; |
| 356 |
// si le pivot est null |
| 357 |
if(get(j,j)==0.0)//Data[j][j]==0.0) |
| 358 |
set(j,j,petit);//[j][j]=petit; |
| 359 |
if(j!=taille-1) |
| 360 |
{ |
| 361 |
dum=1./get(j,j);//Data[j][j]; |
| 362 |
for(i=j+1;i<taille;i++) |
| 363 |
set(i,j,get(i,j)*dum);//Data[i][j]*=dum; |
| 364 |
} |
| 365 |
} |
| 366 |
|
| 367 |
return *this; |
| 368 |
}
|
| 369 |
|
| 370 |
|
| 371 |
void MatCr::Get_Solution(int*perm,const double* b,double* r1)
|
| 372 |
{ |
| 373 |
//Vecteur r1; |
| 374 |
int taille=dimension,i,j,ip,ii=-1; |
| 375 |
double som; |
| 376 |
|
| 377 |
// if(taille&&taille==NbCols&&taille==(int)b.Get_Size()) |
| 378 |
// { |
| 379 |
for(i=0;i<taille;i++) |
| 380 |
r1[i]=b[i]; |
| 381 |
for(i=0;i<taille;i++) |
| 382 |
{ |
| 383 |
ip=perm[i]; |
| 384 |
som=r1[ip]; |
| 385 |
r1[ip]=r1[i]; |
| 386 |
if(ii>=0) |
| 387 |
for(j=ii;j<=i-1;j++) |
| 388 |
som-=get(i,j)*r1[j]; |
| 389 |
else if(som) ii=i; |
| 390 |
r1[i]=som; |
| 391 |
} |
| 392 |
for(i=taille-1;i>=0;i--) |
| 393 |
{ |
| 394 |
som=r1[i]; |
| 395 |
for(j=i+1;j<taille;j++) |
| 396 |
som-=get(i,j)*r1[j]; |
| 397 |
r1[i]=som/get(i,i); |
| 398 |
} |
| 399 |
// } |
| 400 |
//return r1; |
| 401 |
} |
| 402 |
|
| 403 |
|
| 404 |
|
| 405 |
|
| 406 |
|
| 407 |
|
| 408 |
vecteur MatCr::prod(MatCr& M, vecteur& v) |
| 409 |
{ |
| 410 |
vecteur y(v.getDim()); |
| 411 |
for(int i=0; i<M.dimension; i++) |
| 412 |
{
|
| 413 |
y[i] = 0 ;
|
| 414 |
const Row& R = M.row[i] ;
|
| 415 |
for(int jj=0; jj<M.dimension; jj++)
|
| 416 |
{
|
| 417 |
y[i] += M.get(i,jj)* v[jj] ;
|
| 418 |
} |
| 419 |
} |
| 420 |
return y; |
| 421 |
} |
| 422 |
|
