| [3809] | 1 | // --- Special Square matrices base class | 
|---|
|  | 2 | // This code is part of the SOPHYA library | 
|---|
|  | 3 | //  (C) Univ. Paris-Sud   (C) LAL-IN2P3/CNRS   (C) IRFU-CEA | 
|---|
|  | 4 | //  (C) R. Ansari, C.Magneville    2009 | 
|---|
|  | 5 |  | 
|---|
| [3831] | 6 | #define SPESQMTX_CC_BFILE  // avoid extern template declarations | 
|---|
| [3809] | 7 | #include "spesqmtx.h" | 
|---|
|  | 8 | #include "pexceptions.h" | 
|---|
|  | 9 | #include "tmatrix.h" | 
|---|
|  | 10 |  | 
|---|
| [3838] | 11 | namespace SOPHYA { | 
|---|
| [3809] | 12 | /*! | 
|---|
| [3838] | 13 | \class SpecialSquareMatrix | 
|---|
| [3809] | 14 | \ingroup TArray | 
|---|
|  | 15 | \brief The base class for representing and manipulating special square matrices | 
|---|
|  | 16 | Diagonal matrix, Symmetric matrix, Triangular matrix | 
|---|
| [3838] | 17 | This class implements the common operations for special square matrices. Only objects | 
|---|
| [3809] | 18 |  | 
|---|
|  | 19 | from the sub-classes (DiagonalMatrix<T>, LowerTriangularMatrix<T>, SymmetricMatrix<T>) | 
|---|
|  | 20 | can be instanciated. Theses classes offer similar functionalities to the TArray<T> / TMatrix<T> | 
|---|
|  | 21 | classes, like reference sharing and arithmetic operations. However, no sub-matrix extraction | 
|---|
|  | 22 | method is provided. | 
|---|
| [3838] | 23 |  | 
|---|
|  | 24 | \code | 
|---|
|  | 25 | // Create and initialize a diagonal matrix | 
|---|
|  | 26 | DiagonalMatrix<double> diag(3); | 
|---|
|  | 27 | diag(0,0)=1.;  diag(1,1)=2.;  diag(2,2)=3.; | 
|---|
|  | 28 | // use of multiplication by a constant operator | 
|---|
|  | 29 | diag *= 10.; | 
|---|
|  | 30 | // check the diagonal matrix | 
|---|
|  | 31 | cout << diag << diag.ConvertToStdMatrix() << endl; | 
|---|
|  | 32 | // define and initialize a general matrix | 
|---|
|  | 33 | TMatrix<double> mx(3,3); | 
|---|
|  | 34 | mx=RegularSequence(); | 
|---|
|  | 35 | cout << mx; | 
|---|
|  | 36 | // check the result of a matrix mutiplication | 
|---|
|  | 37 | cout << mx*diag; | 
|---|
|  | 38 | \endcode | 
|---|
| [3809] | 39 | */ | 
|---|
|  | 40 |  | 
|---|
|  | 41 | //! Default constructor - SpecialSquareMatrix of size 0, SetSize() should be called before the object is used | 
|---|
|  | 42 | template <class T> | 
|---|
|  | 43 | SpecialSquareMatrix<T>::SpecialSquareMatrix(SpSqMtxType typ) | 
|---|
|  | 44 | : mType(typ) , mNrows(0) , mInfo(NULL) | 
|---|
|  | 45 | { | 
|---|
|  | 46 | } | 
|---|
|  | 47 |  | 
|---|
|  | 48 | //! Instanciate a  SpecialSquareMatrix matrix from the number of rows (rowSize must be > 0) | 
|---|
|  | 49 | template <class T> | 
|---|
|  | 50 | SpecialSquareMatrix<T>::SpecialSquareMatrix(sa_size_t rowSize, SpSqMtxType typ) | 
|---|
|  | 51 | : mType(typ) , mNrows(rowSize) , mInfo(NULL) | 
|---|
|  | 52 | { | 
|---|
|  | 53 | if (rowSize < 1) | 
|---|
|  | 54 | throw ParmError("SpecialSquareMatrix<T>::SpecialSquareMatrix(rsz) rsz <= 0"); | 
|---|
|  | 55 | } | 
|---|
|  | 56 |  | 
|---|
|  | 57 | //! Copy constructor (possibility of sharing datas) | 
|---|
|  | 58 | template <class T> | 
|---|
|  | 59 | SpecialSquareMatrix<T>::SpecialSquareMatrix(SpecialSquareMatrix<T> const & a,  bool share) | 
|---|
|  | 60 | : mType(a.mType) , mNrows(a.mNrows) , mElems(a.mElems, share)  , mInfo(NULL) | 
|---|
|  | 61 | { | 
|---|
|  | 62 | if (a.mInfo)  mInfo = new DVList(*(a.mInfo)); | 
|---|
|  | 63 | } | 
|---|
|  | 64 |  | 
|---|
|  | 65 | //! Sets or change the matrix size, specifying the new number of rows | 
|---|
|  | 66 | template <class T> | 
|---|
|  | 67 | void SpecialSquareMatrix<T>::SetSize(sa_size_t rowSize) | 
|---|
|  | 68 | { | 
|---|
|  | 69 | throw  ForbiddenError("SpecialSquareMatrix<T>::SetSize() Only sub-classes should be instanciated"); | 
|---|
|  | 70 | } | 
|---|
|  | 71 |  | 
|---|
|  | 72 | //! Return the object  as a standard (TMatrix<T>) object | 
|---|
|  | 73 | template <class T> | 
|---|
|  | 74 | TMatrix<T> SpecialSquareMatrix<T>::ConvertToStdMatrix() const | 
|---|
|  | 75 | { | 
|---|
|  | 76 | throw  ForbiddenError("SpecialSquareMatrix<T>::ConvertToStdMatrix() Only sub-classes should be instanciated"); | 
|---|
|  | 77 | } | 
|---|
|  | 78 |  | 
|---|
|  | 79 |  | 
|---|
|  | 80 |  | 
|---|
|  | 81 |  | 
|---|
|  | 82 | //! Clone (duplicate) the SpecialSquareMatrix<T>  matrix \b a | 
|---|
|  | 83 | template <class T> | 
|---|
|  | 84 | void SpecialSquareMatrix<T>::Clone(SpecialSquareMatrix<T> const & a) | 
|---|
|  | 85 | { | 
|---|
|  | 86 | if ((mType != C_UndefinedMatrix) && (a.mType != mType)) | 
|---|
|  | 87 | throw TypeMismatchExc("SpecialSquareMatrix<T>::Clone()- Different type matrices"); | 
|---|
|  | 88 | mType = a.mType; | 
|---|
|  | 89 | mNrows = a.mNrows; | 
|---|
|  | 90 | mElems.Clone(a.mElems); | 
|---|
|  | 91 | if (a.mInfo)  mInfo = new DVList(*(a.mInfo)); | 
|---|
|  | 92 | } | 
|---|
|  | 93 |  | 
|---|
|  | 94 | //! Share the data with \b a | 
|---|
|  | 95 | template <class T> | 
|---|
|  | 96 | void SpecialSquareMatrix<T>::Share(SpecialSquareMatrix<T> const & a) | 
|---|
|  | 97 | { | 
|---|
|  | 98 | if ((mType != C_UndefinedMatrix) && (a.mType != mType)) | 
|---|
|  | 99 | throw TypeMismatchExc("SpecialSquareMatrix<T>::Share()- Different type matrices"); | 
|---|
|  | 100 | mType = a.mType; | 
|---|
|  | 101 | mNrows= a.mNrows; | 
|---|
|  | 102 | mElems.Share(a.mElems); | 
|---|
|  | 103 | if (a.mInfo)  mInfo = new DVList(*(a.mInfo)); | 
|---|
|  | 104 | } | 
|---|
|  | 105 |  | 
|---|
|  | 106 | //! Clone or share the data. Data is shared if \b is flagged as temporary | 
|---|
|  | 107 | template <class T> | 
|---|
|  | 108 | void SpecialSquareMatrix<T>::CloneOrShare(SpecialSquareMatrix<T> const & a) | 
|---|
|  | 109 | { | 
|---|
|  | 110 | if ((mType != C_UndefinedMatrix) && (a.mType != mType)) | 
|---|
|  | 111 | throw TypeMismatchExc("SpecialSquareMatrix<T>::CloneOrShare()- Different type matrices"); | 
|---|
|  | 112 | mType = a.mType; | 
|---|
|  | 113 | mNrows = a.mNrows; | 
|---|
|  | 114 | mElems.CloneOrShare(a.mElems); | 
|---|
|  | 115 | if (a.mInfo)  mInfo = new DVList(*(a.mInfo)); | 
|---|
|  | 116 | } | 
|---|
|  | 117 |  | 
|---|
|  | 118 |  | 
|---|
|  | 119 |  | 
|---|
|  | 120 | //! Set all matrix elements to the value \b a | 
|---|
|  | 121 | template <class T> | 
|---|
|  | 122 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::SetCst(T a) | 
|---|
|  | 123 | { | 
|---|
|  | 124 | if (mElems.Size() < 1) | 
|---|
|  | 125 | throw SzMismatchError("SpecialSquareMatrix<T>::SetCst(T )- (this) not allocated !"); | 
|---|
|  | 126 | mElems = a; | 
|---|
|  | 127 | return (*this); | 
|---|
|  | 128 | } | 
|---|
|  | 129 |  | 
|---|
|  | 130 |  | 
|---|
|  | 131 | //! Element by element copy method | 
|---|
|  | 132 | template <class T> | 
|---|
|  | 133 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::Set(SpecialSquareMatrix<T> const & a) | 
|---|
|  | 134 | { | 
|---|
|  | 135 | if (a.mType != mType) | 
|---|
|  | 136 | throw TypeMismatchExc("SpecialSquareMatrix<T>::Set(a)- Different type matrices"); | 
|---|
|  | 137 | if (a.mElems.Size() < 1) | 
|---|
|  | 138 | throw SzMismatchError("SpecialSquareMatrix<T>::Set(a)- Object a not allocated !"); | 
|---|
|  | 139 | if (mElems.Size() < 1) { | 
|---|
|  | 140 | mNrows = a.mNrows; | 
|---|
|  | 141 | mElems.CloneOrShare(a.mElems); | 
|---|
|  | 142 | return (*this); | 
|---|
|  | 143 | } | 
|---|
|  | 144 | if (mNrows != a.mNrows) | 
|---|
|  | 145 | throw SzMismatchError("SpecialSquareMatrix<T>::Set(a)- NRows() != a.NRows() ! "); | 
|---|
|  | 146 | mElems = a.mElems; | 
|---|
|  | 147 | return (*this); | 
|---|
|  | 148 | } | 
|---|
|  | 149 |  | 
|---|
|  | 150 | //! Set the matrix elements using the values from the sequence \b seq | 
|---|
|  | 151 | template <class T> | 
|---|
|  | 152 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::SetSeq(Sequence const & seq) | 
|---|
|  | 153 | { | 
|---|
|  | 154 | if (mElems.Size() < 1) | 
|---|
|  | 155 | throw SzMismatchError("SpecialSquareMatrix<T>::SetSeq()- (this) not allocated !"); | 
|---|
|  | 156 | for(size_t k=0; k<mElems.Size(); k++)  seq(k).Convert(mElems(k)); | 
|---|
|  | 157 | return (*this); | 
|---|
|  | 158 | } | 
|---|
|  | 159 |  | 
|---|
|  | 160 | //! Add a constant value (\b b ) to all matrix elements | 
|---|
|  | 161 | template <class T> | 
|---|
|  | 162 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::AddCst(T b) | 
|---|
|  | 163 | { | 
|---|
|  | 164 | if (mElems.Size() < 1) | 
|---|
|  | 165 | throw SzMismatchError("SpecialSquareMatrix<T>::AddCst(T )- (this) not allocated !"); | 
|---|
|  | 166 | mElems += b; | 
|---|
|  | 167 | return (*this); | 
|---|
|  | 168 | } | 
|---|
|  | 169 |  | 
|---|
|  | 170 | //! Subtract a constant value (\b b ) from all matrix elements. fginv==true -> elem = b-elem | 
|---|
|  | 171 | template <class T> | 
|---|
|  | 172 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::SubCst(T b, bool fginv) | 
|---|
|  | 173 | { | 
|---|
|  | 174 | if (mElems.Size() < 1) | 
|---|
|  | 175 | throw SzMismatchError("SpecialSquareMatrix<T>::Subst(T )- (this) not allocated !"); | 
|---|
|  | 176 | if (fginv) | 
|---|
|  | 177 | mElems = mElems.Sub(b, true); | 
|---|
|  | 178 | else   mElems -= b; | 
|---|
|  | 179 | return (*this); | 
|---|
|  | 180 | } | 
|---|
|  | 181 |  | 
|---|
|  | 182 | //! Multiply all matrix elements by a constant value \b b . | 
|---|
|  | 183 | template <class T> | 
|---|
|  | 184 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::MulCst(T b) | 
|---|
|  | 185 | { | 
|---|
|  | 186 | if (mElems.Size() < 1) | 
|---|
|  | 187 | throw SzMismatchError("SpecialSquareMatrix<T>::MulCst(T )- (this) not allocated !"); | 
|---|
|  | 188 | mElems *= b; | 
|---|
|  | 189 | return (*this); | 
|---|
|  | 190 | } | 
|---|
|  | 191 |  | 
|---|
|  | 192 | //! Divide all matrix elements by a constant value \b b . if fginv==true elem = b / elem | 
|---|
|  | 193 | template <class T> | 
|---|
|  | 194 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::DivCst(T b, bool fginv) | 
|---|
|  | 195 | { | 
|---|
|  | 196 | if (mElems.Size() < 1) | 
|---|
|  | 197 | throw SzMismatchError("SpecialSquareMatrix<T>::DivCst(T )- (this) not allocated !"); | 
|---|
|  | 198 | if (fginv)  mElems = mElems.Div(b, true); | 
|---|
|  | 199 | else mElems /= b; | 
|---|
|  | 200 | return (*this); | 
|---|
|  | 201 | } | 
|---|
|  | 202 |  | 
|---|
|  | 203 | //! Element by element addition : elem(l,m) = elem(l,m) + b.elem(l,m) | 
|---|
|  | 204 | template <class T> | 
|---|
|  | 205 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::AddElt(SpecialSquareMatrix<T> const& b) | 
|---|
|  | 206 | { | 
|---|
|  | 207 | if (b.mType != mType) | 
|---|
|  | 208 | throw TypeMismatchExc("SpecialSquareMatrix<T>::AddElt() Different type matrices"); | 
|---|
|  | 209 | if ((mNrows < 1)||(mNrows != b.mNrows)||(mElems.Size() < 1)||(mElems.Size() != b.mElems.Size())) | 
|---|
|  | 210 | throw SzMismatchError("SpecialSquareMatrix<T>::AddElt()- Not allocated or different sizes !"); | 
|---|
|  | 211 | mElems += b.mElems; | 
|---|
|  | 212 | return (*this); | 
|---|
|  | 213 | } | 
|---|
|  | 214 |  | 
|---|
|  | 215 | //! Element by element subtraction : elem(l,m) = elem(l,m) - b.elem(l,m) | 
|---|
|  | 216 | template <class T> | 
|---|
|  | 217 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::SubElt(SpecialSquareMatrix<T> const& b) | 
|---|
|  | 218 | { | 
|---|
|  | 219 | if (b.mType != mType) | 
|---|
|  | 220 | throw TypeMismatchExc("SpecialSquareMatrix<T>::SubElt() Different type matrices"); | 
|---|
|  | 221 | if ((mNrows < 1)||(mNrows != b.mNrows)||(mElems.Size() < 1)||(mElems.Size() != b.mElems.Size())) | 
|---|
|  | 222 | throw SzMismatchError("SpecialSquareMatrix<T>::SubElt()- Not allocated or different sizes !"); | 
|---|
|  | 223 | mElems -= b.mElems; | 
|---|
|  | 224 | return (*this); | 
|---|
|  | 225 | } | 
|---|
|  | 226 | //! Element by element multiplication : elem(l,m) = elem(l,m) * b.elem(l,m) | 
|---|
|  | 227 | template <class T> | 
|---|
|  | 228 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::MulElt(SpecialSquareMatrix<T> const& b) | 
|---|
|  | 229 | { | 
|---|
|  | 230 | if (b.mType != mType) | 
|---|
|  | 231 | throw TypeMismatchExc("SpecialSquareMatrix<T>::MulElt() Different type matrices"); | 
|---|
|  | 232 | if ((mNrows < 1)||(mNrows != b.mNrows)||(mElems.Size() < 1)||(mElems.Size() != b.mElems.Size())) | 
|---|
|  | 233 | throw SzMismatchError("SpecialSquareMatrix<T>::MulElt()- Not allocated or different sizes !"); | 
|---|
|  | 234 | mElems *= b.mElems; | 
|---|
|  | 235 | return (*this); | 
|---|
|  | 236 | } | 
|---|
|  | 237 | //! Element by element divison : elem(l,m) = elem(l,m) / b.elem(l,m) | 
|---|
|  | 238 | template <class T> | 
|---|
|  | 239 | SpecialSquareMatrix<T>& SpecialSquareMatrix<T>::DivElt(SpecialSquareMatrix<T> const& b) | 
|---|
|  | 240 | { | 
|---|
|  | 241 | if (b.mType != mType) | 
|---|
|  | 242 | throw TypeMismatchExc("SpecialSquareMatrix<T>::DivElt() Different type matrices"); | 
|---|
|  | 243 | if ((mNrows < 1)||(mNrows != b.mNrows)||(mElems.Size() < 1)||(mElems.Size() != b.mElems.Size())) | 
|---|
|  | 244 | throw SzMismatchError("SpecialSquareMatrix<T>::DivElt()- Not allocated or different sizes !"); | 
|---|
|  | 245 | mElems /= b.mElems; | 
|---|
|  | 246 | return (*this); | 
|---|
|  | 247 | } | 
|---|
|  | 248 |  | 
|---|
|  | 249 |  | 
|---|
|  | 250 | //! Return the minimum and the maximum values of the SpecialSquare Matrix elements | 
|---|
|  | 251 | /*! | 
|---|
|  | 252 | This method generates an exception (\c MathExc) if called for complex matrices | 
|---|
|  | 253 | */ | 
|---|
|  | 254 | template <class T> | 
|---|
|  | 255 | void SpecialSquareMatrix<T>::MinMax(T& min, T& max) const | 
|---|
|  | 256 | { | 
|---|
|  | 257 | const T * pe = mElems.Begin(); | 
|---|
|  | 258 | min = pe[0]; | 
|---|
|  | 259 | max = pe[0]; | 
|---|
|  | 260 | for(size_t k=0; k<mElems.Size(); k++) { | 
|---|
|  | 261 | if (pe[k]<min)  min = pe[k]; | 
|---|
|  | 262 | else if (pe[k]>max)  max = pe[k]; | 
|---|
|  | 263 | } | 
|---|
|  | 264 | return; | 
|---|
|  | 265 | } | 
|---|
|  | 266 |  | 
|---|
|  | 267 | DECL_TEMP_SPEC  /* equivalent a template <> , pour SGI-CC en particulier */ | 
|---|
|  | 268 | void SpecialSquareMatrix< complex<r_4> >::MinMax(complex<r_4>& min, complex<r_4>& max) const | 
|---|
|  | 269 | { | 
|---|
|  | 270 | throw MathExc("SpecialSquareMatrix< complex<r_4> >::MinMax(...) - No order in complex"); | 
|---|
|  | 271 | } | 
|---|
|  | 272 | DECL_TEMP_SPEC  /* equivalent a template <> , pour SGI-CC en particulier */ | 
|---|
|  | 273 | void SpecialSquareMatrix< complex<r_8> >::MinMax(complex<r_8>& min, complex<r_8>& max) const | 
|---|
|  | 274 | { | 
|---|
|  | 275 | throw MathExc("SpecialSquareMatrix< complex<r_4> >::MinMax(...) - No order in complex"); | 
|---|
|  | 276 | } | 
|---|
|  | 277 |  | 
|---|
|  | 278 | //! Short ASCII representatio of the object pushed to stream \b os | 
|---|
|  | 279 | template <class T> | 
|---|
|  | 280 | ostream& SpecialSquareMatrix<T>::Show(ostream& os) const | 
|---|
|  | 281 | { | 
|---|
|  | 282 | os << typeid(*this).name() << " < " << typeid(T).name() | 
|---|
|  | 283 | << " > NRow=" << mNrows << " NbElem<>0 : " << Size() << endl; | 
|---|
|  | 284 | return os; | 
|---|
|  | 285 | } | 
|---|
|  | 286 |  | 
|---|
|  | 287 |  | 
|---|
|  | 288 | /////////////////////////////////////////////////////////////// | 
|---|
|  | 289 | #ifdef __CXX_PRAGMA_TEMPLATES__ | 
|---|
|  | 290 | #pragma define_template SpecialSquareMatrix<uint_1> | 
|---|
|  | 291 | #pragma define_template SpecialSquareMatrix<uint_2> | 
|---|
|  | 292 | #pragma define_template SpecialSquareMatrix<uint_4> | 
|---|
|  | 293 | #pragma define_template SpecialSquareMatrix<uint_8> | 
|---|
|  | 294 | #pragma define_template SpecialSquareMatrix<int_1> | 
|---|
|  | 295 | #pragma define_template SpecialSquareMatrix<int_2> | 
|---|
|  | 296 | #pragma define_template SpecialSquareMatrix<int_4> | 
|---|
|  | 297 | #pragma define_template SpecialSquareMatrix<int_8> | 
|---|
|  | 298 | #pragma define_template SpecialSquareMatrix<r_4> | 
|---|
|  | 299 | #pragma define_template SpecialSquareMatrix<r_8> | 
|---|
|  | 300 | #pragma define_template SpecialSquareMatrix< complex<r_4> > | 
|---|
|  | 301 | #pragma define_template SpecialSquareMatrix< complex<r_8> > | 
|---|
|  | 302 | #ifdef SO_LDBLE128 | 
|---|
|  | 303 | #pragma define_template SpecialSquareMatrix<r_16> | 
|---|
|  | 304 | #pragma define_template SpecialSquareMatrix< complex<r_16> > | 
|---|
|  | 305 | #endif | 
|---|
|  | 306 | #endif | 
|---|
|  | 307 |  | 
|---|
|  | 308 | #if defined(ANSI_TEMPLATES) || defined(GNU_TEMPLATES) | 
|---|
|  | 309 | template class SpecialSquareMatrix<uint_1>; | 
|---|
|  | 310 | template class SpecialSquareMatrix<uint_2>; | 
|---|
|  | 311 | template class SpecialSquareMatrix<uint_4>; | 
|---|
|  | 312 | template class SpecialSquareMatrix<uint_8>; | 
|---|
|  | 313 | template class SpecialSquareMatrix<int_1>; | 
|---|
|  | 314 | template class SpecialSquareMatrix<int_2>; | 
|---|
|  | 315 | template class SpecialSquareMatrix<int_4>; | 
|---|
|  | 316 | template class SpecialSquareMatrix<int_8>; | 
|---|
|  | 317 | template class SpecialSquareMatrix<r_4>; | 
|---|
|  | 318 | template class SpecialSquareMatrix<r_8>; | 
|---|
|  | 319 | template class SpecialSquareMatrix< complex<r_4> >; | 
|---|
|  | 320 | template class SpecialSquareMatrix< complex<r_8> >; | 
|---|
|  | 321 | #ifdef SO_LDBLE128 | 
|---|
|  | 322 | template class SpecialSquareMatrix<r_16>; | 
|---|
|  | 323 | template class SpecialSquareMatrix< complex<r_16> >; | 
|---|
|  | 324 | #endif | 
|---|
|  | 325 | #endif | 
|---|
|  | 326 |  | 
|---|
| [3824] | 327 | }   // namespace SOPHYA | 
|---|
|  | 328 |  | 
|---|