| 1 |
//---------------------------------------------------------------------------
|
| 2 |
#include "gestionversion.h"
|
| 3 |
|
| 4 |
#pragma hdrstop
|
| 5 |
|
| 6 |
#include "ot_tenseur.h"
|
| 7 |
|
| 8 |
#include <iomanip>
|
| 9 |
#include <conio.h>
|
| 10 |
#include <stdio.h>
|
| 11 |
#include <assert.h>
|
| 12 |
#include <math.h>
|
| 13 |
//---------------------------------------------------------------------------
|
| 14 |
|
| 15 |
#pragma package(smart_init)
|
| 16 |
|
| 17 |
|
| 18 |
|
| 19 |
|
| 20 |
OT_TENSEUR::OT_TENSEUR()
|
| 21 |
{
|
| 22 |
Dim1=0;
|
| 23 |
Dim2=0;
|
| 24 |
data=0;
|
| 25 |
}
|
| 26 |
|
| 27 |
OT_TENSEUR::OT_TENSEUR(int n)
|
| 28 |
{
|
| 29 |
Dim1=n;
|
| 30 |
Dim2=n;
|
| 31 |
double2 zero(0.);
|
| 32 |
data =new double2[n*n];
|
| 33 |
for(int i=0;i<Dim1*Dim2;i++) data[i]=zero;
|
| 34 |
}
|
| 35 |
|
| 36 |
OT_TENSEUR::OT_TENSEUR(int n,int m)
|
| 37 |
{
|
| 38 |
Dim1=n;
|
| 39 |
Dim2=m;
|
| 40 |
double2 zero(0.);
|
| 41 |
data =new double2[n*m];
|
| 42 |
for(int i=0;i<Dim1*Dim2;i++) data[i]=zero;
|
| 43 |
}
|
| 44 |
|
| 45 |
|
| 46 |
|
| 47 |
OT_TENSEUR:: OT_TENSEUR(vector<OT_VECTEUR_4DD>& v)
|
| 48 |
{
|
| 49 |
|
| 50 |
Dim1=v.size();
|
| 51 |
Dim2=Dim1;
|
| 52 |
double2 zero=0.;
|
| 53 |
double2 prec=1e-6;
|
| 54 |
prec.set_dx(1e-8);
|
| 55 |
double2 c=0.5;
|
| 56 |
OT_VECTEUR_4DD VCT_NUL(1e-7,1e-7,1e-7,1e-7), w;
|
| 57 |
int Dim= Dim1*Dim2 ;
|
| 58 |
data=new double2[Dim];
|
| 59 |
for(int i=0;i<Dim1;i++)
|
| 60 |
{
|
| 61 |
OT_VECTEUR_4DD z1=v[i];
|
| 62 |
for (int j=0;j<Dim2;j++)
|
| 63 |
{
|
| 64 |
OT_VECTEUR_4DD z2=v[j];
|
| 65 |
double2 prscal=z1*z2;
|
| 66 |
w=z1^z2;
|
| 67 |
double2 wnorm=w.norme();
|
| 68 |
if(wnorm<prec)
|
| 69 |
{
|
| 70 |
if(prscal<zero && prscal.get_fabs()>c) prscal= -1.;
|
| 71 |
if(prscal>zero && prscal.get_fabs()>c) prscal= 1.;
|
| 72 |
if(prscal<zero && prscal.get_fabs()<c) prscal= 0.;
|
| 73 |
if(prscal>zero && prscal.get_fabs()<c) prscal= 0.;
|
| 74 |
}
|
| 75 |
double2 val= prscal.get_fabs();
|
| 76 |
if(val.get_x()<=val.get_dx()) {
|
| 77 |
prscal=0.;
|
| 78 |
prscal.set_dx(val.get_dx());
|
| 79 |
}
|
| 80 |
data[i*Dim2+j]=prscal;
|
| 81 |
}
|
| 82 |
}
|
| 83 |
|
| 84 |
|
| 85 |
}
|
| 86 |
|
| 87 |
OT_TENSEUR::OT_TENSEUR(vector<OT_VECTEUR_4DD>&v1,vector<OT_VECTEUR_4DD>&v2)
|
| 88 |
{
|
| 89 |
|
| 90 |
Dim1=v1.size();
|
| 91 |
Dim2=v2.size();
|
| 92 |
int Dim= Dim1*Dim2 ;
|
| 93 |
data=new double2[Dim];
|
| 94 |
for(int i=0;i<Dim1;i++)
|
| 95 |
{
|
| 96 |
OT_VECTEUR_4DD z1=v1[i];
|
| 97 |
for (int j=0;j<Dim2;j++)
|
| 98 |
{
|
| 99 |
OT_VECTEUR_4DD z2=v2[j];
|
| 100 |
double2 prscal=z1*z2;
|
| 101 |
double2 val= prscal.get_fabs();
|
| 102 |
if(val.get_x()<=val.get_dx()) {
|
| 103 |
prscal=0.;
|
| 104 |
prscal.set_dx(val.get_dx());
|
| 105 |
}
|
| 106 |
data[i*Dim2+j]=prscal;
|
| 107 |
}
|
| 108 |
}
|
| 109 |
|
| 110 |
|
| 111 |
}
|
| 112 |
|
| 113 |
|
| 114 |
OT_TENSEUR::~OT_TENSEUR()
|
| 115 |
{
|
| 116 |
Dim1=0;
|
| 117 |
Dim2=0;
|
| 118 |
|
| 119 |
if (data!=NULL) delete [] data;
|
| 120 |
}
|
| 121 |
|
| 122 |
|
| 123 |
OT_TENSEUR::OT_TENSEUR(const OT_TENSEUR& ot)
|
| 124 |
{
|
| 125 |
Dim1=ot.Dim1;
|
| 126 |
Dim2=ot.Dim2;
|
| 127 |
data=new double2[Dim1*Dim2];
|
| 128 |
|
| 129 |
for(int i=0;i<Dim1;i++)
|
| 130 |
{
|
| 131 |
for (int j=0;j<Dim2;j++)
|
| 132 |
{
|
| 133 |
data[i*Dim2+j]=ot(i,j);
|
| 134 |
}
|
| 135 |
}
|
| 136 |
}
|
| 137 |
|
| 138 |
|
| 139 |
OT_TENSEUR& OT_TENSEUR:: operator =(const OT_TENSEUR& ot)
|
| 140 |
{
|
| 141 |
|
| 142 |
if(this==&ot) return *this ;
|
| 143 |
|
| 144 |
if(data) delete [] data;
|
| 145 |
|
| 146 |
Dim1=ot.Dim1;
|
| 147 |
Dim2=ot.Dim2;
|
| 148 |
data=new double2[Dim1*Dim2];
|
| 149 |
|
| 150 |
for(int i=0;i<Dim1;i++) {
|
| 151 |
for (int j=0;j<Dim2;j++) {
|
| 152 |
data[i*Dim2+j]=ot.data[i*Dim2+j];
|
| 153 |
}
|
| 154 |
}
|
| 155 |
|
| 156 |
|
| 157 |
return *this;
|
| 158 |
}
|
| 159 |
|
| 160 |
int operator==( OT_TENSEUR& t1, OT_TENSEUR&t2)
|
| 161 |
{
|
| 162 |
if(t1.Get_NbRows()!=t2.Get_NbRows()||t1.Get_NbCols()!=t2.Get_NbCols()) return 0;
|
| 163 |
else {
|
| 164 |
for(int i=0;i<t1.Get_NbRows();i++)
|
| 165 |
{
|
| 166 |
for(int j=0;j<t1.Get_NbCols();j++)
|
| 167 |
{
|
| 168 |
double2 val1=t1(i,j);
|
| 169 |
double2 val2=t2(i,j);
|
| 170 |
if(val1==val2) continue;
|
| 171 |
else return 0;
|
| 172 |
}
|
| 173 |
|
| 174 |
}
|
| 175 |
}
|
| 176 |
return 1;
|
| 177 |
}
|
| 178 |
|
| 179 |
|
| 180 |
|
| 181 |
double2&OT_TENSEUR:: operator()(int i,int j)
|
| 182 |
{
|
| 183 |
assert(i<Dim1&&j<Dim2);
|
| 184 |
double2 prciseion=0.0;
|
| 185 |
if(data[i*Dim2+j].get_fabs()<=prciseion)
|
| 186 |
{
|
| 187 |
data[i*Dim2+j]=0.;
|
| 188 |
|
| 189 |
}
|
| 190 |
return data[i*Dim2+j];
|
| 191 |
}
|
| 192 |
|
| 193 |
|
| 194 |
|
| 195 |
double2& OT_TENSEUR:: operator()(int i,int j)const
|
| 196 |
{
|
| 197 |
assert(i<Dim1&&j<Dim2);
|
| 198 |
double2 prciseion=0.0;
|
| 199 |
if(data[i*Dim2+j].get_fabs()<=prciseion)
|
| 200 |
{
|
| 201 |
data[i*Dim2+j]=0.;
|
| 202 |
|
| 203 |
}
|
| 204 |
return data[i*Dim2+j];
|
| 205 |
}
|
| 206 |
|
| 207 |
|
| 208 |
|
| 209 |
int OT_TENSEUR:: Get_NbRows()const
|
| 210 |
{
|
| 211 |
return Dim1;
|
| 212 |
}
|
| 213 |
|
| 214 |
|
| 215 |
|
| 216 |
int OT_TENSEUR:: Get_NbCols()const
|
| 217 |
{
|
| 218 |
return Dim2;
|
| 219 |
}
|
| 220 |
|
| 221 |
|
| 222 |
|
| 223 |
int OT_TENSEUR:: est_til_equivalent( OT_TENSEUR& tns)
|
| 224 |
{
|
| 225 |
|
| 226 |
if (Dim1!=tns.Get_NbRows()||Dim2!=tns.Get_NbCols()) return 0;
|
| 227 |
vector<int> check;
|
| 228 |
|
| 229 |
for(int i=0;i<tns.Get_NbRows();i++)
|
| 230 |
{
|
| 231 |
|
| 232 |
vector<double2> lig1;
|
| 233 |
for(int ix1=0;ix1<Dim2;ix1++) lig1.insert(lig1.end(),data[i*Dim2+ix1]);
|
| 234 |
|
| 235 |
for(int j=0;j<Dim2;j++)
|
| 236 |
{
|
| 237 |
int p=-1;
|
| 238 |
if(!existe(check,j,p))
|
| 239 |
{
|
| 240 |
vector<int>trouve;
|
| 241 |
vector<double2>valeur;
|
| 242 |
vector<double2> lig2;
|
| 243 |
for(int ix2=0;ix2<Dim2;ix2++) lig2.insert(lig2.end(),tns(j,ix2));
|
| 244 |
for(int r=0;r<Dim2;r++)
|
| 245 |
{
|
| 246 |
double2 val=lig1[r];
|
| 247 |
val=val.get_fabs();
|
| 248 |
|
| 249 |
int indx1=-1;
|
| 250 |
|
| 251 |
for(int s=0;s<Dim2;s++)
|
| 252 |
{ int pos1;
|
| 253 |
double2 vall=lig2[s];
|
| 254 |
vall=vall.get_fabs();
|
| 255 |
|
| 256 |
if (val==vall&&!existe(trouve,s,indx1))
|
| 257 |
{
|
| 258 |
trouve.insert(trouve.end(),s);
|
| 259 |
valeur.insert(valeur.end(),val);
|
| 260 |
break;
|
| 261 |
}
|
| 262 |
|
| 263 |
}
|
| 264 |
|
| 265 |
}
|
| 266 |
int t_trouve=trouve.size();
|
| 267 |
if (t_trouve==Dim2)
|
| 268 |
{
|
| 269 |
check.insert(check.end(),j);
|
| 270 |
break;
|
| 271 |
|
| 272 |
}
|
| 273 |
|
| 274 |
}
|
| 275 |
}
|
| 276 |
continue;
|
| 277 |
}
|
| 278 |
int t_chek=check.size();
|
| 279 |
if (t_chek==Dim1)return 1;
|
| 280 |
else return 0;
|
| 281 |
|
| 282 |
}
|
| 283 |
|
| 284 |
|
| 285 |
|
| 286 |
template <class T> int OT_TENSEUR:: existe(const vector<T>& vct,T val,int& idx)
|
| 287 |
{
|
| 288 |
|
| 289 |
if(val<0) val=-val;
|
| 290 |
for(unsigned int i=0;i<vct.size();i++)
|
| 291 |
{
|
| 292 |
double x=vct[i];
|
| 293 |
if(x<0) val=-val;
|
| 294 |
if(x==val){
|
| 295 |
idx=i; return 1; }
|
| 296 |
}
|
| 297 |
idx=-1;
|
| 298 |
return 0;
|
| 299 |
}
|
| 300 |
|
| 301 |
|
| 302 |
OT_TENSEUR operator+( OT_TENSEUR& ot1, OT_TENSEUR& ot2)
|
| 303 |
{
|
| 304 |
assert (ot1.Get_NbRows()==ot2.Get_NbRows()&&ot1.Get_NbCols()==ot2.Get_NbCols());
|
| 305 |
OT_TENSEUR res(ot1.Get_NbRows(),ot1.Get_NbCols());
|
| 306 |
for(int i=0;i<ot1.Get_NbRows();i++)
|
| 307 |
{
|
| 308 |
for(int j=0;j<ot2.Get_NbCols();j++)
|
| 309 |
{
|
| 310 |
res(i,j)=ot1(i,j)+ot2(i,j);
|
| 311 |
}
|
| 312 |
}
|
| 313 |
|
| 314 |
return res;
|
| 315 |
}
|
| 316 |
|
| 317 |
|
| 318 |
OT_TENSEUR operator*( double2& coef, OT_TENSEUR& ot)
|
| 319 |
{
|
| 320 |
OT_TENSEUR T=ot;
|
| 321 |
for(int i=0;i<ot.Get_NbRows();i++)
|
| 322 |
for(int j=0;j<ot.Get_NbCols();j++)
|
| 323 |
|
| 324 |
T(i,j)=coef*T(i,j);
|
| 325 |
|
| 326 |
return T;
|
| 327 |
|
| 328 |
}
|
| 329 |
|
| 330 |
OT_TENSEUR operator*(OT_TENSEUR& ot , double2& coef) |
| 331 |
{
|
| 332 |
return coef*ot;
|
| 333 |
} |
| 334 |
|
| 335 |
OT_TENSEUR OT_TENSEUR:: transpose() |
| 336 |
{ |
| 337 |
OT_TENSEUR TMP(Dim2,Dim1); |
| 338 |
for(int i=0;i<Dim1;i++) { |
| 339 |
for(int j=0;j<Dim2;j++)
|
| 340 |
{
|
| 341 |
TMP(j,i)=(*this)(i,j); // ot(i,j);
|
| 342 |
}
|
| 343 |
} |
| 344 |
return TMP; |
| 345 |
} |
| 346 |
|
| 347 |
OT_TENSEUR operator*( OT_TENSEUR& ot1, OT_TENSEUR& ot2) |
| 348 |
{ |
| 349 |
int dim1=ot1.Get_NbRows(); |
| 350 |
int dim3= ot1.Get_NbCols(); |
| 351 |
int dim2=ot2.Get_NbCols(); |
| 352 |
OT_TENSEUR TMP (dim1,dim2); |
| 353 |
|
| 354 |
for(int i=0;i<dim1;i++) |
| 355 |
{ |
| 356 |
for(int j=0;j<dim2;j++) |
| 357 |
{ |
| 358 |
for(int k=0;k<dim3;k++) |
| 359 |
TMP(i,j)=TMP(i,j)+ot1(i,k)*ot2(k,j); |
| 360 |
} |
| 361 |
} |
| 362 |
return TMP; |
| 363 |
}
|
| 364 |
|
| 365 |
std::ostream& operator<<(std::ostream& os, OT_TENSEUR& tns){
|
| 366 |
os<<"------------------------------------------------------------------------------------"<<endl;
|
| 367 |
os<<"# TENSEUR: DIM1= "<< tns.Get_NbRows()<<" , DIM2: "<<tns.Get_NbCols()<<" #"<<endl;
|
| 368 |
os<<"------------------------------------------------------------------------------------"<<endl;
|
| 369 |
for(int i=0;i<tns.Get_NbRows();i++) {
|
| 370 |
for(int j=0;j<tns.Get_NbCols();j++) {
|
| 371 |
os<<setw(18)<<tns(i,j);
|
| 372 |
}
|
| 373 |
os<<endl;
|
| 374 |
}
|
| 375 |
os<<"------------------------------------------------------------------------------------"<<endl;
|
| 376 |
return os;
|
| 377 |
}
|
| 378 |
|
| 379 |
|
| 380 |
|
| 381 |
void OT_TENSEUR::get_orthogonalisation(OT_TENSEUR& a,OT_VECTEUR_4DD& d,OT_TENSEUR& v,int n,int&nrot)
|
| 382 |
{ |
| 383 |
|
| 384 |
static const int ITMAX=50; |
| 385 |
double2 zro=0.0; |
| 386 |
int n1=n-1,n2=1/(n*n),ip1,iq1;// ,ip,j,i,iq// n=3, |
| 387 |
double2 tresh,theta,tau,t,sm,s,h,g,c; |
| 388 |
double2 *b=new double2[n]; // OT_VECTEUR_3D b,z; |
| 389 |
double2 *z=new double2[n]; |
| 390 |
|
| 391 |
for(int ip=0;ip<n;ip++) |
| 392 |
{ |
| 393 |
for(int iq=0;iq<n;iq++) |
| 394 |
//v[ip*n+iq]=0.0; |
| 395 |
v(ip,iq)=0.0; |
| 396 |
v(ip,ip)=1.0; |
| 397 |
b[(unsigned int)ip]=d[(unsigned int)ip]=a(ip,ip); |
| 398 |
z[(unsigned int)ip]=0.0; |
| 399 |
} |
| 400 |
nrot=0; |
| 401 |
for(int i=1;i<=ITMAX;i++) |
| 402 |
{ |
| 403 |
sm=0.0; |
| 404 |
for(int ip=0;ip<n1;ip++) |
| 405 |
for(int iq=ip+1;iq<n;iq++) |
| 406 |
sm =sm+(a(ip,iq)).get_fabs(); |
| 407 |
if(sm==zro) |
| 408 |
return; |
| 409 |
if(i<4) |
| 410 |
tresh=0.2*sm*n2; |
| 411 |
else |
| 412 |
tresh=0.0; |
| 413 |
for(int ip=0;ip<n1;ip++) |
| 414 |
for(int iq=ip+1;iq<n;iq++) |
| 415 |
{ |
| 416 |
g=100*(a(ip,iq)).get_fabs(); |
| 417 |
if(i>4&&((d[(unsigned int)ip]+g).get_fabs()==d[(unsigned int)ip].get_fabs())&&((d[(unsigned int)iq])+g).get_fabs()==d[(unsigned int)iq].get_fabs()) |
| 418 |
a(ip,iq)=0.0; |
| 419 |
else if((a(ip,iq)).get_fabs()>tresh) |
| 420 |
{ |
| 421 |
h=d[(unsigned int)iq]-d[(unsigned int)ip]; |
| 422 |
if(((h).get_fabs()+g)==(h).get_fabs()) |
| 423 |
t=a(ip,iq)/h; |
| 424 |
else |
| 425 |
{ |
| 426 |
theta=0.5*h/a(ip,iq); |
| 427 |
t=1.0/((theta).get_fabs()+sqrt(1.0+theta*theta)); |
| 428 |
if(theta<zro)t=zro-t; |
| 429 |
} |
| 430 |
c=1.0/sqrt(1+t*t); |
| 431 |
s=t*c; |
| 432 |
tau=s/(1.0+c); |
| 433 |
h=t*a(ip,iq); |
| 434 |
z[(unsigned int)ip]=z[(unsigned int)ip]-h; |
| 435 |
z[(unsigned int)iq]=z[(unsigned int)iq]+h; |
| 436 |
d[(unsigned int)ip]=d[(unsigned int)ip]-h; |
| 437 |
d[(unsigned int)iq]=d[(unsigned int)iq]+h; |
| 438 |
a(ip,iq)=0.0; |
| 439 |
ip1=ip-1; |
| 440 |
iq1=iq-1; |
| 441 |
for(int j=0;j<=ip1;j++) |
| 442 |
{ |
| 443 |
g=a(j,ip); |
| 444 |
h=a(j,iq); |
| 445 |
a(j,ip)=g-s*(h+g*tau); |
| 446 |
a(j,iq)=h+s*(g-h*tau); |
| 447 |
} |
| 448 |
for(int j=ip+1;j<=iq1;j++) |
| 449 |
{ |
| 450 |
g=a(ip,j); |
| 451 |
h=a(j,iq); |
| 452 |
a(ip,j)=g-s*(h+g*tau); |
| 453 |
a(j,iq)=h+s*(g-h*tau); |
| 454 |
} |
| 455 |
for(int j=iq+1;j<n;j++) |
| 456 |
{ |
| 457 |
g=a(ip,j); |
| 458 |
h=a(iq,j); |
| 459 |
a(ip,j)=g-s*(h+g*tau); |
| 460 |
a(iq,j)=h+s*(g-h*tau); |
| 461 |
} |
| 462 |
for(int j=0;j<n;j++) |
| 463 |
{ |
| 464 |
g=v(j,ip); |
| 465 |
h=v(j,iq); |
| 466 |
v(j,ip)=g-s*(h+g*tau); |
| 467 |
v(j,iq)=h+s*(g-h*tau); |
| 468 |
} |
| 469 |
++nrot; |
| 470 |
} |
| 471 |
} |
| 472 |
for(int ip=0;ip<n;ip++) |
| 473 |
{ |
| 474 |
b[(unsigned int)ip]=b[(unsigned int)ip]+z[(unsigned int)ip]; |
| 475 |
d[(unsigned int)ip]=b[(unsigned int)ip]; |
| 476 |
z[(unsigned int)ip]=0.0; |
| 477 |
} |
| 478 |
} |
| 479 |
|
| 480 |
|
| 481 |
delete [] b; |
| 482 |
delete [] z; |
| 483 |
|
| 484 |
}
|
| 485 |
|
| 486 |
|
| 487 |
|
| 488 |
|
| 489 |
int OT_TENSEUR::listes_equivalentes(std::vector<double2>& list1,std::vector<double2>& list2,std::vector<unsigned int>& indx) |
| 490 |
{ |
| 491 |
|
| 492 |
|
| 493 |
int compt=0; |
| 494 |
int pos=-1; |
| 495 |
int exist=0; |
| 496 |
|
| 497 |
for(int i=0;i<list1.size();i++) |
| 498 |
{ |
| 499 |
double2 val1=list1[i]; |
| 500 |
//double prc=1e-3; |
| 501 |
//double prcc; |
| 502 |
if(pos==-1) |
| 503 |
{ |
| 504 |
for(int k=0;k< list2.size();k++) |
| 505 |
{ |
| 506 |
double2 val2=list2[k]; |
| 507 |
//prcc =val2.get_x()-val1.get_x(); |
| 508 |
//prcc =prcc/val2.get_x(); |
| 509 |
if( val2==val1){ |
| 510 |
indx.insert(indx.end(),k); |
| 511 |
pos=k; |
| 512 |
compt++; |
| 513 |
break; |
| 514 |
} |
| 515 |
} |
| 516 |
} |
| 517 |
|
| 518 |
else |
| 519 |
{ |
| 520 |
for( int r=0;r<list2.size();r++) |
| 521 |
{ |
| 522 |
double2 vval2=list2[r]; |
| 523 |
for(int j=0;j<indx.size();j++) |
| 524 |
{ |
| 525 |
exist=0; |
| 526 |
if (r==indx[j]) |
| 527 |
{ |
| 528 |
exist=1; |
| 529 |
break; |
| 530 |
} |
| 531 |
} |
| 532 |
//prcc =vval2.get_x()-val1.get_x(); |
| 533 |
//prcc =prcc/vval2.get_x(); |
| 534 |
if(vval2==val1&&!exist) // vval2==val1 |
| 535 |
{ |
| 536 |
indx.insert(indx.end(),r); |
| 537 |
pos=r; |
| 538 |
compt++; |
| 539 |
break; |
| 540 |
} |
| 541 |
} |
| 542 |
} |
| 543 |
|
| 544 |
} |
| 545 |
|
| 546 |
if (compt==list1.size())return 1; |
| 547 |
else return 0; |
| 548 |
|
| 549 |
} |
| 550 |
|
| 551 |
|
| 552 |
|
| 553 |
|
| 554 |
|
| 555 |
|
