MatrixOperations.hpp 23.1 KB
Newer Older
1 2
//! \file 
//
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
//
//  MatrixTOperations.hpp
//  HappyHeart
//
//  Created by Sebastien Gilles on 30/10/15.
//  Copyright © 2015 Inria. All rights reserved.
//

#ifndef HAPPY_HEART_x_THIRD_PARTY_x_WRAPPERS_x_PETSC_x_MATRIX_x_MATRIX_OPERATIONS_HPP_
# define HAPPY_HEART_x_THIRD_PARTY_x_WRAPPERS_x_PETSC_x_MATRIX_x_MATRIX_OPERATIONS_HPP_

# include <memory>
# include <vector>

# include "ThirdParty/IncludeWithoutWarning/Petsc/PetscSys.hpp"
# include "ThirdParty/IncludeWithoutWarning/Petsc/PetscMat.hpp"

# include "ThirdParty/Wrappers/Petsc/Vector/Vector.hpp"
# include "ThirdParty/Wrappers/Petsc/Matrix/Private/BaseMatrix.hpp"
# include "ThirdParty/Wrappers/Petsc/Exceptions/Petsc.hpp"


namespace HappyHeart
{
    
    
    namespace Wrappers
    {
        
        
        namespace Petsc
        {
35 36
            
            
37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58
            /*!
             * \class doxygen_hide_petsc_do_reuse_matrix
             *
             * Whether matrix must be reused or initialized from scratch in functions such
             * as MatTransposeMatMult.
             * If yes, it must have been called once with no beforehand, and one has to be sure the pattern
             * of the matrices involved is still the same.
             */
            
            /*!
             * \class doxygen_hide_petsc_do_reuse_matrix_arg
             *
             * \param[in] do_reuse_matrix \copydetails doxygen_hide_petsc_do_reuse_matrix
             */
            
            
            /*!
             * \brief \copydoc doxygen_hide_petsc_do_reuse_matrix
             */
            enum class DoReuseMatrix { yes, no };
            
            
59 60 61 62 63 64 65
            /*!
             * \brief Wrapper over MatAXPY, that performs Y = a * X + Y.
             *
             * \param[in] structure either SAME_NONZERO_PATTERN, DIFFERENT_NONZERO_PATTERN or SUBSET_NONZERO_PATTERN.
             * \param[in] invoking_file File that invoked the function or class; usually __FILE__.
             * \param[in] invoking_line File that invoked the function or class; usually __LINE__.
             */
66 67 68 69 70 71 72 73 74 75 76
            template
            <
                class MatrixT,
                class MatrixU
            >
            std::enable_if_t
            <
                std::is_base_of<Private::BaseMatrix, MatrixT>::value
             && std::is_base_of<Private::BaseMatrix, MatrixU>::value,
                void
            >
77 78
            AXPY(PetscScalar a,
                 const MatrixT& X,
79
                 MatrixU& Y,
80 81 82 83 84 85 86 87 88 89 90 91 92
                 const char* invoking_file, int invoking_line,
                 const MatStructure& structure = SAME_NONZERO_PATTERN);
            
            
            /*!
             * \brief Wrapper over MatMult, that performs v2 = matrix * v1.
             *
             * \param[in] invoking_file File that invoked the function or class; usually __FILE__.
             * \param[in] invoking_line File that invoked the function or class; usually __LINE__.
             */
            template<class MatrixT>
            std::enable_if_t<std::is_base_of<Private::BaseMatrix, MatrixT>::value, void>
            MatMult(const MatrixT& matrix, const Vector& v1, Vector& v2,
93
                    const char* invoking_file, int invoking_line);
94 95 96 97 98 99 100 101 102 103 104
            
            
            /*!
             * \brief Wrapper over MatMultAdd, that performs v3 = v2 + matrix * v1.
             *
             * \param[in] invoking_file File that invoked the function or class; usually __FILE__.
             * \param[in] invoking_line File that invoked the function or class; usually __LINE__.
             */
            template<class MatrixT>
            std::enable_if_t<std::is_base_of<Private::BaseMatrix, MatrixT>::value, void>
            MatMultAdd(const MatrixT& matrix, const Vector& v1, const Vector& v2, Vector& v3,
105
                       const char* invoking_file, int invoking_line);
106 107 108 109 110 111 112 113 114 115 116 117
            
            
            
            /*!
             * \brief Wrapper over MatMultTranspose, that performs v2 = transpose(matrix) * v1.
             *
             * \param[in] invoking_file File that invoked the function or class; usually __FILE__.
             * \param[in] invoking_line File that invoked the function or class; usually __LINE__.
             */
            template<class MatrixT>
            std::enable_if_t<std::is_base_of<Private::BaseMatrix, MatrixT>::value, void>
            MatMultTranspose(const MatrixT& matrix, const Vector& v1, Vector& v2,
118
                             const char* invoking_file, int invoking_line);
119 120 121 122 123 124 125 126 127 128 129
            
            
            /*!
             * \brief Wrapper over MatMultTransposeAdd, that performs v3 = v2 + transpose(matrix) * v1.
             *
             * \param[in] invoking_file File that invoked the function or class; usually __FILE__.
             * \param[in] invoking_line File that invoked the function or class; usually __LINE__.
             */
            template<class MatrixT>
            std::enable_if_t<std::is_base_of<Private::BaseMatrix, MatrixT>::value, void>
            MatMultTransposeAdd(const MatrixT& matrix, const Vector& v1, const Vector& v2, Vector& v3,
130
                                const char* invoking_file, int invoking_line);
131
            
132 133 134 135 136 137 138 139
            /*!
             * \class doxygen_hide_matmatmult_warning
             *
             * \attention In Petsc, matrix-matrix multiplication functions compute on the fly the
             * pattern for the resulting matrix. However, it is possible this pattern isn't the one expected;
             * in the richer HappyHeart interface you should call in debug mode \a AssertMatrixRespectPattern()
             * to make sure the resulting matrix respects the pattern defined for the \a GlobalMatrix pair 
             * of \a NumberingSubset.
140 141 142 143 144 145 146 147 148 149
             *
             * \internal <b><tt>[internal]</tt></b> If you know Petsc, you might see I didn't give access to
             * argument MatReuse, setting it each time to MAT_INITIAL_MATRIX and skipping entirely MAT_REUSE_MATRIX.
             * This is because at the time being MatMatMult operations are seldom in the code (only Poromechanics so
             * far) and using Symbolic/Numeric seems more elegant. Of course, reintroducing the argument is really easy;
             * feel free to do so if you need it (for instance for MatMatMatMult support: Symbolic/Numeric doesn't 
             * work for them and Petsc guys seemed unlikely to fix that in our exchanges).
             *
             * \internal <b><tt>[internal]</tt></b> \todo #684 Investigate to use the argument fill, which provides an 
             * estimation of the non zero of the resulting matrix. Currently PETSC_DEFAULT is used.
150 151 152
             */
            
            
153 154 155 156
            
            /*!
             * \brief Wrapper over MatMatMult, that performs C = A * B.
             *
157 158
             * \copydetails doxygen_hide_matmatmult_warning
             *
159 160
             * If the operation is performed many times with each time the same non zero pattern for the matrices,
             * rather use MatMatMultSymbolic/MatMatMultNumeric to improve efficiency.
161
            
162 163 164
             * One can also reuse a pattern for several matrices, but so far I do not need that in HappyHeart so
             * I equally use the default setting.
             *
165 166
             * \copydetails doxygen_hide_petsc_do_reuse_matrix_arg
             *
167
             */
168 169 170 171 172 173 174 175 176 177 178
            template
            <
                class MatrixT,
                class MatrixU
            >
            std::enable_if_t
            <
                std::is_base_of<Private::BaseMatrix, MatrixT>::value
                && std::is_base_of<Private::BaseMatrix, MatrixU>::value,
                void
            >
179
            MatMatMult(const MatrixT& matrix1,
180 181
                       const MatrixT& matrix2,
                       MatrixU& matrix3,
182 183
                       const char* invoking_file, int invoking_line,
                       DoReuseMatrix do_reuse_matrix = DoReuseMatrix::no);
184 185
            
            
186 187
            /*!
             * \brief Wrapper over MatMatMultSymbolic, that computes the structure of C = A * B. 
188
             *             
189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217
             * Actual computation is done with a call to MatMatMultNumeric, which might be called many times.
             *
             * \param[in] matrix1 A in C = A * B.
             * \param[in] matrix2 B in C = A * B.
             * \param[out] matrix3 C in C = A * B. Its pattern is correctly allocated after the call.
             * \param[in] invoking_file File that invoked the function or class; usually __FILE__.
             * \param[in] invoking_line File that invoked the function or class; usually __LINE__.
             */
            template
            <
                class MatrixT,
                class MatrixU
            >
            std::enable_if_t
            <
                std::is_base_of<Private::BaseMatrix, MatrixT>::value
                && std::is_base_of<Private::BaseMatrix, MatrixU>::value,
                void
            >
            MatMatMultSymbolic(const MatrixT& matrix1,
                               const MatrixT& matrix2,
                               MatrixU& matrix3,
                               const char* invoking_file, int invoking_line);
            
            
            /*!
             * \brief Wrapper over MatMatMultNumeric, that computes C = A * B in the case MatMatMultSymbolic
             * has been used to allocate structure of C.
             *
218 219
             * \copydetails doxygen_hide_matmatmult_warning
             *
220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242
             * \param[in] matrix1 A in C = A * B.
             * \param[in] matrix2 B in C = A * B.
             * \param[out] matrix3 C in C = A * B.
             * \param[in] invoking_file File that invoked the function or class; usually __FILE__.
             * \param[in] invoking_line File that invoked the function or class; usually __LINE__.
             */
            template
            <
                class MatrixT,
                class MatrixU
            >
            std::enable_if_t
            <
                std::is_base_of<Private::BaseMatrix, MatrixT>::value
                && std::is_base_of<Private::BaseMatrix, MatrixU>::value,
                void
            >
            MatMatMultNumeric(const MatrixT& matrix1,
                              const MatrixT& matrix2,
                              MatrixU& matrix3,
                              const char* invoking_file, int invoking_line);
            
            
243 244 245
            /*!
             * \brief Wrapper over MatMatMatMult, that performs D = A * B * C.
             *
246 247 248
             * If the operation is performed many times with each time the same non zero pattern for the matrices,
             * rather use MatMatMatMultSymbolic/MatMatMatMultNumeric to improve efficiency.
             *
249
             * \copydetails doxygen_hide_petsc_do_reuse_matrix_arg
250
             */
251 252 253 254 255 256 257 258 259 260 261
            template
            <
                class MatrixT,
                class MatrixU
            >
            std::enable_if_t
            <
                std::is_base_of<Private::BaseMatrix, MatrixT>::value
                && std::is_base_of<Private::BaseMatrix, MatrixU>::value,
                void
            >
262
            MatMatMatMult(const MatrixT& matrix1,
263 264 265
                          const MatrixT& matrix2,
                          const MatrixT& matrix3,
                          MatrixU& matrix4,
266 267
                          const char* invoking_file, int invoking_line,
                          DoReuseMatrix do_reuse_matrix = DoReuseMatrix::no);
268 269
            
            
270 271 272
            /*!
             * \brief Wrapper over MatMatMultSymbolic, that performs D = A * B * C.
             *
273
             * Actual computation is done with a call to MatMatMatMultNumeric, which might be called many times.
274 275 276 277 278 279 280 281 282 283 284 285 286
             *
             * \param[in] matrix1 A in D = A * B * C.
             * \param[in] matrix2 B in D = A * B * C.
             * \param[in] matrix3 C in D = A * B * C.
             * \param[out] matrix4 D in D = A * B * C. Its pattern is correctly allocated after the call.

             * \todo #684 Investigate to use the argument fill, which provides an estimation of the non zero of the
             * resulting matrix. Currently PETSC_DEFAULT is used.
             * One can also reuse a pattern for several matrices, but so far I do not need that in HappyHeart so
             * I equally use the default setting.
             *
             * \param[in] invoking_file File that invoked the function or class; usually __FILE__.
             * \param[in] invoking_line File that invoked the function or class; usually __LINE__.
287 288
             *
             * \attention Currently not working due to lack of implementation in Petsc; a ticket has been issued.
289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311
             */
            template
            <
                class MatrixT,
                class MatrixU
            >
            std::enable_if_t
            <
                std::is_base_of<Private::BaseMatrix, MatrixT>::value
                && std::is_base_of<Private::BaseMatrix, MatrixU>::value,
                void
            >
            MatMatMatMultSymbolic(const MatrixT& matrix1,
                                  const MatrixT& matrix2,
                                  const MatrixT& matrix3,
                                  MatrixU& matrix4,
                                  const char* invoking_file, int invoking_line);
            
            
            /*!
             * \brief Wrapper over MatMatMatMultNumeric, that performs D = A * B * C in the case MatMatMatMultSymbolic
             * has been used to allocate structure of D.
             *
312 313
             * \copydetails doxygen_hide_matmatmult_warning
             *
314 315 316 317 318 319 320 321 322 323 324 325
             * \param[in] matrix1 A in D = A * B * C.
             * \param[in] matrix2 B in D = A * B * C.
             * \param[in] matrix3 C in D = A * B * C.
             * \param[out] matrix4 D in D = A * B * C.
             *
             * \todo #684 Investigate to use the argument fill, which provides an estimation of the non zero of the
             * resulting matrix. Currently PETSC_DEFAULT is used.
             * One can also reuse a pattern for several matrices, but so far I do not need that in HappyHeart so
             * I equally use the default setting.
             *
             * \param[in] invoking_file File that invoked the function or class; usually __FILE__.
             * \param[in] invoking_line File that invoked the function or class; usually __LINE__.
326 327
             *
             * \attention Currently not working due to lack of implementation in Petsc; a ticket has been issued.
328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346
             */
            template
            <
                class MatrixT,
                class MatrixU
            >
            std::enable_if_t
            <
                std::is_base_of<Private::BaseMatrix, MatrixT>::value
                && std::is_base_of<Private::BaseMatrix, MatrixU>::value,
                void
            >
            MatMatMatMultNumeric(const MatrixT& matrix1,
                                 const MatrixT& matrix2,
                                 const MatrixT& matrix3,
                                 MatrixU& matrix4,
                                 const char* invoking_file, int invoking_line);
            
            
347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
            /*!
             * \brief Creates a new matrix object that behaves like A'.
             *
             * The transpose A' is NOT actually formed! Rather the new matrix object performs the matrix-vector product 
             * by using the MatMultTranspose() on the original matrix.
             *
             * \param[in] A matrix to transpose.
             * \param[out] transpose The matrix that figuratively represents A'. This matrix must not have been 
             * allocated!
             * \param[in] invoking_file File that invoked the function or class; usually __FILE__.
             * \param[in] invoking_line File that invoked the function or class; usually __LINE__.
             */
            template<class MatrixT>
            std::enable_if_t
            <
                std::is_base_of<Private::BaseMatrix, MatrixT>::value,
                void
            >
            MatCreateTranspose(const MatrixT& A,
                               MatrixT& transpose,
                               const char* invoking_file, int invoking_line);
            
369
            
370
            /*!
371
             * \class doxygen_hide_mat_transpose_mat_mult
372
             *
373
             *  \copydetails doxygen_hide_matmatmult_warning
374 375 376 377 378 379
             * \param[in] matrix1 A in C = A^T * B.
             * \param[in] matrix2 B in C = A^T * B.
             * \param[out] matrix3 C in B in C = A^T * B. The matrix must be not allocated when this function is called.
             * \param[in] invoking_file File that invoked the function or class; usually __FILE__.
             * \param[in] invoking_line File that invoked the function or class; usually __LINE__.
             */
380 381 382 383 384 385
            
            
            /*!
             * \brief Performs Matrix-Matrix Multiplication C = A^T * B.
             *
             * \copydetails doxygen_hide_mat_transpose_mat_mult
386
             * \copydetails doxygen_hide_petsc_do_reuse_matrix_arg
387
             */
388 389 390 391 392 393 394 395 396 397 398 399 400 401
            template
            <
                class MatrixT,
                class MatrixU
            >
            std::enable_if_t
            <
                std::is_base_of<Private::BaseMatrix, MatrixT>::value
                && std::is_base_of<Private::BaseMatrix, MatrixU>::value,
                void
            >
            MatTransposeMatMult(const MatrixT& matrix1,
                                const MatrixT& matrix2,
                                MatrixU& matrix3,
402 403
                                const char* invoking_file, int invoking_line,
                                DoReuseMatrix do_reuse_matrix = DoReuseMatrix::no);
404 405
            
            
406
                     
407 408 409
            /*!
             * \brief Performs Matrix-Matrix Multiplication C = A * B^T.
             *
410
             * \copydetails doxygen_hide_matmatmult_warning
411
             * \copydetails doxygen_hide_petsc_do_reuse_matrix_arg
412
             *
413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
             * \param[in] matrix1 A in C = A * B^T.
             * \param[in] matrix2 B in C = A * B^T.
             * \param[out] matrix3 C in B in C = A * B^T. The matrix must be not allocated when this function is called.
             * \param[in] invoking_file File that invoked the function or class; usually __FILE__.
             * \param[in] invoking_line File that invoked the function or class; usually __LINE__.
             */
            template
            <
                class MatrixT,
                class MatrixU
            >
            std::enable_if_t
            <
                std::is_base_of<Private::BaseMatrix, MatrixT>::value
                && std::is_base_of<Private::BaseMatrix, MatrixU>::value,
                void
            >
            MatMatTransposeMult(const MatrixT& matrix1,
                                const MatrixT& matrix2,
                                MatrixU& matrix3,
433 434
                                const char* invoking_file, int invoking_line,
                                DoReuseMatrix do_reuse_matrix = DoReuseMatrix::no);
435 436
            
            
437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537
            /*!
             * \class doxygen_hide_mat_pt_a_p
             *
             * \warning Unfortunately a simple test with P = I leads to error  
             * \verbatim
             * [0]PETSC ERROR: Nonconforming object sizes
             * [0]PETSC ERROR: Expected fill=-2 must be >= 1.0
             * \endverbatim
             * The reason is that PETSC_DEFAULT may not be supported (I've asked Petsc developers); but even with 
             * hand-tailored fill it doesn't seem to work...
             * So unfortunately I have to advise instead MatMatMult followed by MatTransposeMatMult instead...
             *
             * \copydetails doxygen_hide_matmatmult_warning
             *
             * \param[in] A A in C = P^T * A * P.
             * \param[in] P P in C = P^T * A * P
             * \param[out] out C in C = P^T * A * P. The matrix must be not allocated when this function is called.
             * \copydetails doxygen_hide_invoking_file_and_line
             */
            
            /*!
             * \brief Performs the matrix product C = P^T * A * P
             *
             * \copydoc doxygen_hide_mat_pt_a_p
             *
             *  \attention If the operation is performed many times with each time the same non zero pattern for the matrices,
             * rather use PtAPSymbolic/PtAPNumeric to improve efficiency.
             *
             */
            template
            <
                class MatrixT,
                class MatrixU
            >
            std::enable_if_t
            <
                std::is_base_of<Private::BaseMatrix, MatrixT>::value
                && std::is_base_of<Private::BaseMatrix, MatrixU>::value,
                void
            >
            PtAP(const MatrixT& A,
                 const MatrixT& P,
                 MatrixU& out,
                 const char* invoking_file, int invoking_line);
            
            
            
            /*!
             * \brief Wrapper over PtAPSymbolic, that computes the structure of C = P^T * A * P.
             *
             * Actual computations must be performed through calls to PtAPNumeric.
             * \see http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/Mat/MatPtAPSymbolic.html#MatPtAPSymbolic
             * for more details.
             *
             * \copydoc doxygen_hide_mat_pt_a_p
             *
             */
            template
            <
                class MatrixT,
                class MatrixU
            >
            std::enable_if_t
            <
                std::is_base_of<Private::BaseMatrix, MatrixT>::value
                && std::is_base_of<Private::BaseMatrix, MatrixU>::value,
                void
            >
            PtAPSymbolic(const MatrixT& A,
                         const MatrixT& P,
                         MatrixU& out,
                         const char* invoking_file, int invoking_line);
            
            
            /*!
             * \brief Wrapper over PtAPNumeric, that computes C = P^T * A * P. in the case C has already been allocated.
             *
             * \see http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/Mat/MatPtAPNumeric.html#MatPtAPNumeric
             * for more details.
             *
             * \copydoc doxygen_hide_mat_pt_a_p
             *
             */
            template
            <
                class MatrixT,
                class MatrixU
            >
            std::enable_if_t
            <
                std::is_base_of<Private::BaseMatrix, MatrixT>::value
                && std::is_base_of<Private::BaseMatrix, MatrixU>::value,
                void
            >
            PtAPNumeric(const MatrixT& A,
                        const MatrixT& P,
                        MatrixU& out,
                        const char* invoking_file, int invoking_line);


            
538
            
539 540 541 542 543 544 545 546 547 548 549 550 551
        } //namespace Petsc
        
        
    } //namespace Wrappers
    
    
} // namespace HappyHeart


# include "ThirdParty/Wrappers/Petsc/Matrix/MatrixOperations.hxx"


#endif // HAPPY_HEART_x_THIRD_PARTY_x_WRAPPERS_x_PETSC_x_MATRIX_x_MATRIX_OPERATIONS_HPP_