 ROOT   Reference Guide HelperOps.h
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1// @(#)root/smatrix:$Id$
2// Authors: J. Palacios 2006
3
4#ifndef ROOT_Math_HelperOps
5#define ROOT_Math_HelperOps 1
6
7// Include files
8
9/** @class HelperOps HelperOps.h Math/HelperOps.h
10 *
11 *
12 * @author Juan PALACIOS
13 * @date 2006-01-11
14 *
15 * Specialised helper classes for binary operators =, +=, -=
16 * between SMatrices and Expressions with arbitrary representations.
17 * Specialisations at the moment only for Symmetric LHS and Generic RHS
18 * and used to throw static assert.
19 */
20#include "Math/StaticCheck.h"
21#include <algorithm> // required by std::copy
22#include <assert.h>
23
24namespace ROOT {
25
26namespace Math {
27
28 template <class T, unsigned int D1, unsigned int D2, class R>
29 class SMatrix;
30
31 template <class A, class T, unsigned int D1, unsigned int D2, class R>
32 class Expr;
33
34 template <class T, unsigned int D>
35 class MatRepSym;
36
37 template <class T, unsigned int D1, unsigned int D2>
38 class MatRepStd;
39
40 //=========================================================================
41 /**
42 Structure to assign from an expression based to general matrix to general matrix
43 */
44 template <class T,
45 unsigned int D1, unsigned int D2,
46 class A, class R1, class R2>
47
48 struct Assign
49 {
50 /**
51 Evaluate the expression from general to general matrices.
52 If the matrix to assign the value is in use in the expression,
53 a temporary object is created to store the value (case A = B * A)
54 */
55 static void Evaluate(SMatrix<T,D1,D2,R1>& lhs, const Expr<A,T,D1,D2,R2>& rhs)
56 {
57 if (! rhs.IsInUse(lhs.begin() ) ) {
58 unsigned int l = 0;
59 for(unsigned int i=0; i<D1; ++i)
60 for(unsigned int j=0; j<D2; ++j) {
61 lhs.fRep[l] = rhs(i,j);
62 l++;
63 }
64 }
65 // lhs is in use in expression, need to create a temporary with the result
66 else {
67 // std::cout << "create temp for " << typeid(rhs).name() << std::endl;
68 T tmp[D1*D2];
69 unsigned int l = 0;
70 for(unsigned int i=0; i<D1; ++i)
71 for(unsigned int j=0; j<D2; ++j) {
72 tmp[l] = rhs(i,j);
73 l++;
74 }
75 // copy now the temp object
76 for(unsigned int i=0; i<D1*D2; ++i) lhs.fRep[i] = tmp[i];
77 }
78
79 }
80
81 };
82
83 /**
84 Structure to assign from an expression based to symmetric matrix to symmetric matrix
85 */
86 template <class T,
87 unsigned int D1, unsigned int D2,
88 class A>
89
90 struct Assign<T, D1, D2, A, MatRepSym<T,D1>, MatRepSym<T,D1> >
91 {
92 /**
93 Evaluate the expression from symmetric to symmetric matrices.
94 If the matrix to assign the value is in use in the expression,
95 a temporary object is created to store the value (case A = B * A)
96 */
97 static void Evaluate(SMatrix<T,D1,D2,MatRepSym<T,D1> >& lhs,
98 const Expr<A,T,D1,D2,MatRepSym<T,D1> >& rhs)
99 {
100 if (! rhs.IsInUse(lhs.begin() ) ) {
101 unsigned int l = 0;
102 for(unsigned int i=0; i<D1; ++i)
103 // storage of symmetric matrix is in lower block
104 for(unsigned int j=0; j<=i; ++j) {
105 lhs.fRep.Array()[l] = rhs(i,j);
106 l++;
107 }
108 }
109 // create a temporary object to store result
110 else {
112 unsigned int l = 0;
113 for(unsigned int i=0; i<D1; ++i)
114 for(unsigned int j=0; j<=i; ++j) {
115 tmp[l] = rhs(i,j);
116 l++;
117 }
118 // copy now the temp object
119 for(unsigned int i=0; i<MatRepSym<T,D1>::kSize; ++i) lhs.fRep.Array()[i] = tmp[i];
120 }
121 }
122 };
123
124
125
126 /**
127 Dummy Structure which flags an error to avoid assigment from expression based on a
128 general matrix to a symmetric matrix
129 */
130 template <class T, unsigned int D1, unsigned int D2, class A>
131 struct Assign<T, D1, D2, A, MatRepSym<T,D1>, MatRepStd<T,D1,D2> >
132 {
133 static void Evaluate(SMatrix<T,D1,D2,MatRepSym<T,D1> >&,
134 const Expr<A,T,D1,D2,MatRepStd<T,D1,D2> >&)
135 {
136 STATIC_CHECK(0==1, Cannot_assign_general_to_symmetric_matrix);
137 }
138
139 }; // struct Assign
140
141
142 /**
143 Force Expression evaluation from general to symmetric.
144 To be used when is known (like in similarity products) that the result
145 is symmetric
146 Note this is function used in the simmilarity product: no check for temporary is
147 done since in that case is not needed
148 */
150 {
151 /// assign a symmetric matrix from an expression
152 template <class T,
153 unsigned int D,
154 class A,
155 class R>
156 static void Evaluate(SMatrix<T,D,D,MatRepSym<T,D> >& lhs, const Expr<A,T,D,D,R>& rhs)
157 {
158 //for(unsigned int i=0; i<D1*D2; ++i) lhs.fRep[i] = rhs.apply(i);
159 unsigned int l = 0;
160 for(unsigned int i=0; i<D; ++i)
161 // storage of symmetric matrix is in lower block
162 for(unsigned int j=0; j<=i; ++j) {
163 lhs.fRep.Array()[l] = rhs(i,j);
164 l++;
165 }
166 }
167 /// assign the symmetric matric from a general matrix
168 template <class T,
169 unsigned int D,
170 class R>
171 static void Evaluate(SMatrix<T,D,D,MatRepSym<T,D> >& lhs, const SMatrix<T,D,D,R>& rhs)
172 {
173 //for(unsigned int i=0; i<D1*D2; ++i) lhs.fRep[i] = rhs.apply(i);
174 unsigned int l = 0;
175 for(unsigned int i=0; i<D; ++i)
176 // storage of symmetric matrix is in lower block
177 for(unsigned int j=0; j<=i; ++j) {
178 lhs.fRep.Array()[l] = rhs(i,j);
179 l++;
180 }
181 }
182
183
184 }; // struct AssignSym
185
186
187 //=========================================================================
188 /**
189 Evaluate the expression performing a += operation
190 Need to check whether creating a temporary object with the expression result
191 (like in op: A += A * B )
192 */
193 template <class T, unsigned int D1, unsigned int D2, class A,
194 class R1, class R2>
196 {
197 static void Evaluate(SMatrix<T,D1,D2,R1>& lhs, const Expr<A,T,D1,D2,R2>& rhs)
198 {
199 if (! rhs.IsInUse(lhs.begin() ) ) {
200 unsigned int l = 0;
201 for(unsigned int i=0; i<D1; ++i)
202 for(unsigned int j=0; j<D2; ++j) {
203 lhs.fRep[l] += rhs(i,j);
204 l++;
205 }
206 }
207 else {
208 T tmp[D1*D2];
209 unsigned int l = 0;
210 for(unsigned int i=0; i<D1; ++i)
211 for(unsigned int j=0; j<D2; ++j) {
212 tmp[l] = rhs(i,j);
213 l++;
214 }
215 // += now using the temp object
216 for(unsigned int i=0; i<D1*D2; ++i) lhs.fRep[i] += tmp[i];
217 }
218 }
219 };
220
221 /**
222 Specialization for symmetric matrices
223 Evaluate the expression performing a += operation for symmetric matrices
224 Need to have a separate functions to avoid to modify two times the off-diagonal
225 elements (i.e applying two times the expression)
226 Need to check whether creating a temporary object with the expression result
227 (like in op: A += A * B )
228 */
229 template <class T,
230 unsigned int D1, unsigned int D2,
231 class A>
232 struct PlusEquals<T, D1, D2, A, MatRepSym<T,D1>, MatRepSym<T,D1> >
233 {
234 static void Evaluate(SMatrix<T,D1,D2,MatRepSym<T,D1> >& lhs, const Expr<A,T,D1,D2, MatRepSym<T,D1> >& rhs)
235 {
236 if (! rhs.IsInUse(lhs.begin() ) ) {
237 unsigned int l = 0; // l span storage of sym matrices
238 for(unsigned int i=0; i<D1; ++i)
239 for(unsigned int j=0; j<=i; ++j) {
240 lhs.fRep.Array()[l] += rhs(i,j);
241 l++;
242 }
243 }
244 else {
246 unsigned int l = 0;
247 for(unsigned int i=0; i<D1; ++i)
248 for(unsigned int j=0; j<=i; ++j) {
249 tmp[l] = rhs(i,j);
250 l++;
251 }
252 // += now using the temp object
253 for(unsigned int i=0; i<MatRepSym<T,D1>::kSize; ++i) lhs.fRep.Array()[i] += tmp[i];
254 }
255 }
256 };
257 /**
258 Specialization for symmetrix += general : NOT Allowed operation
259 */
260 template <class T, unsigned int D1, unsigned int D2, class A>
261 struct PlusEquals<T, D1, D2, A, MatRepSym<T,D1>, MatRepStd<T,D1,D2> >
262 {
263 static void Evaluate(SMatrix<T,D1,D2,MatRepSym<T,D1> >&,
264 const Expr<A,T,D1,D2,MatRepStd<T,D1,D2> >&)
265 {
266 STATIC_CHECK(0==1, Cannot_plusEqual_general_to_symmetric_matrix);
267 }
268 }; // struct PlusEquals
269
270 //=========================================================================
271
272 /**
273 Evaluate the expression performing a -= operation
274 Need to check whether creating a temporary object with the expression result
275 (like in op: A -= A * B )
276 */
277 template <class T, unsigned int D1, unsigned int D2, class A,
278 class R1, class R2>
280 {
281 static void Evaluate(SMatrix<T,D1,D2,R1>& lhs, const Expr<A,T,D1,D2,R2>& rhs)
282 {
283 if (! rhs.IsInUse(lhs.begin() ) ) {
284 unsigned int l = 0;
285 for(unsigned int i=0; i<D1; ++i)
286 for(unsigned int j=0; j<D2; ++j) {
287 lhs.fRep[l] -= rhs(i,j);
288 l++;
289 }
290 }
291 else {
292 T tmp[D1*D2];
293 unsigned int l = 0;
294 for(unsigned int i=0; i<D1; ++i)
295 for(unsigned int j=0; j<D2; ++j) {
296 tmp[l] = rhs(i,j);
297 l++;
298 }
299 // -= now using the temp object
300 for(unsigned int i=0; i<D1*D2; ++i) lhs.fRep[i] -= tmp[i];
301 }
302 }
303 };
304 /**
305 Specialization for symmetric matrices.
306 Evaluate the expression performing a -= operation for symmetric matrices
307 Need to have a separate functions to avoid to modify two times the off-diagonal
308 elements (i.e applying two times the expression)
309 Need to check whether creating a temporary object with the expression result
310 (like in op: A -= A + B )
311 */
312 template <class T,
313 unsigned int D1, unsigned int D2,
314 class A>
315 struct MinusEquals<T, D1, D2, A, MatRepSym<T,D1>, MatRepSym<T,D1> >
316 {
317 static void Evaluate(SMatrix<T,D1,D2,MatRepSym<T,D1> >& lhs, const Expr<A,T,D1,D2, MatRepSym<T,D1> >& rhs)
318 {
319 if (! rhs.IsInUse(lhs.begin() ) ) {
320 unsigned int l = 0; // l span storage of sym matrices
321 for(unsigned int i=0; i<D1; ++i)
322 for(unsigned int j=0; j<=i; ++j) {
323 lhs.fRep.Array()[l] -= rhs(i,j);
324 l++;
325 }
326 }
327 else {
329 unsigned int l = 0;
330 for(unsigned int i=0; i<D1; ++i)
331 for(unsigned int j=0; j<=i; ++j) {
332 tmp[l] = rhs(i,j);
333 l++;
334 }
335 // -= now using the temp object
336 for(unsigned int i=0; i<MatRepSym<T,D1>::kSize; ++i) lhs.fRep.Array()[i] -= tmp[i];
337 }
338 }
339 };
340
341 /**
342 Specialization for symmetrix -= general : NOT Allowed operation
343 */
344 template <class T, unsigned int D1, unsigned int D2, class A>
345 struct MinusEquals<T, D1, D2, A, MatRepSym<T,D1>, MatRepStd<T,D1,D2> >
346 {
347 static void Evaluate(SMatrix<T,D1,D2,MatRepSym<T,D1> >&,
348 const Expr<A,T,D1,D2,MatRepStd<T,D1,D2> >&)
349 {
350 STATIC_CHECK(0==1, Cannot_minusEqual_general_to_symmetric_matrix);
351 }
352 }; // struct MinusEquals
353
354
355 /** Structure to deal when a submatrix is placed in a matrix.
356 We have different cases according to the matrix representation
357 */
358 template <class T, unsigned int D1, unsigned int D2,
359 unsigned int D3, unsigned int D4,
360 class R1, class R2>
362 {
364 unsigned int row, unsigned int col) {
365
366 assert(row+D3 <= D1 && col+D4 <= D2);
367 const unsigned int offset = row*D2+col;
368
369 for(unsigned int i=0; i<D3*D4; ++i) {
370 lhs.fRep[offset+(i/D4)*D2+i%D4] = rhs.apply(i);
371 }
372
373 }
374 }; // struct PlaceMatrix
375
376 template <class T, unsigned int D1, unsigned int D2,
377 unsigned int D3, unsigned int D4,
378 class A, class R1, class R2>
379 struct PlaceExpr {
380 static void Evaluate(SMatrix<T,D1,D2,R1>& lhs, const Expr<A,T,D3,D4,R2>& rhs,
381 unsigned int row, unsigned int col) {
382
383 assert(row+D3 <= D1 && col+D4 <= D2);
384 const unsigned int offset = row*D2+col;
385
386 for(unsigned int i=0; i<D3*D4; ++i) {
387 lhs.fRep[offset+(i/D4)*D2+i%D4] = rhs.apply(i);
388 }
389 }
390 }; // struct PlaceExpr
391
392 // specialization for general matrix in symmetric matrices
393 template <class T, unsigned int D1, unsigned int D2,
394 unsigned int D3, unsigned int D4 >
395 struct PlaceMatrix<T, D1, D2, D3, D4, MatRepSym<T,D1>, MatRepStd<T,D3,D4> > {
396 static void Evaluate(SMatrix<T,D1,D2,MatRepSym<T,D1> >& ,
397 const SMatrix<T,D3,D4,MatRepStd<T,D3,D4> >& ,
398 unsigned int , unsigned int )
399 {
400 STATIC_CHECK(0==1, Cannot_Place_Matrix_general_in_symmetric_matrix);
401 }
402 }; // struct PlaceMatrix
403
404 // specialization for general expression in symmetric matrices
405 template <class T, unsigned int D1, unsigned int D2,
406 unsigned int D3, unsigned int D4, class A >
407 struct PlaceExpr<T, D1, D2, D3, D4, A, MatRepSym<T,D1>, MatRepStd<T,D3,D4> > {
408 static void Evaluate(SMatrix<T,D1,D2,MatRepSym<T,D1> >& ,
409 const Expr<A,T,D3,D4,MatRepStd<T,D3,D4> >& ,
410 unsigned int , unsigned int )
411 {
412 STATIC_CHECK(0==1, Cannot_Place_Matrix_general_in_symmetric_matrix);
413 }
414 }; // struct PlaceExpr
415
416 // specialization for symmetric matrix in symmetric matrices
417
418 template <class T, unsigned int D1, unsigned int D2,
419 unsigned int D3, unsigned int D4 >
420 struct PlaceMatrix<T, D1, D2, D3, D4, MatRepSym<T,D1>, MatRepSym<T,D3> > {
421 static void Evaluate(SMatrix<T,D1,D2,MatRepSym<T,D1> >& lhs,
422 const SMatrix<T,D3,D4,MatRepSym<T,D3> >& rhs,
423 unsigned int row, unsigned int col )
424 {
425 // can work only if placed on the diagonal
426 assert(row == col);
427
428 for(unsigned int i=0; i<D3; ++i) {
429 for(unsigned int j=0; j<=i; ++j)
430 lhs.fRep(row+i,col+j) = rhs(i,j);
431 }
432 }
433 }; // struct PlaceMatrix
434
435 // specialization for symmetric expression in symmetric matrices
436 template <class T, unsigned int D1, unsigned int D2,
437 unsigned int D3, unsigned int D4, class A >
438 struct PlaceExpr<T, D1, D2, D3, D4, A, MatRepSym<T,D1>, MatRepSym<T,D3> > {
439 static void Evaluate(SMatrix<T,D1,D2,MatRepSym<T,D1> >& lhs,
440 const Expr<A,T,D3,D4,MatRepSym<T,D3> >& rhs,
441 unsigned int row, unsigned int col )
442 {
443 // can work only if placed on the diagonal
444 assert(row == col);
445
446 for(unsigned int i=0; i<D3; ++i) {
447 for(unsigned int j=0; j<=i; ++j)
448 lhs.fRep(row+i,col+j) = rhs(i,j);
449 }
450 }
451 }; // struct PlaceExpr
452
453
454
455 /** Structure for getting sub matrices
456 We have different cases according to the matrix representations
457 */
458 template <class T, unsigned int D1, unsigned int D2,
459 unsigned int D3, unsigned int D4,
460 class R1, class R2>
462 {
464 unsigned int row, unsigned int col) {
465 STATIC_CHECK( D1 <= D3,Smatrix_nrows_too_small);
466 STATIC_CHECK( D2 <= D4,Smatrix_ncols_too_small);
467
468 assert(row + D1 <= D3);
469 assert(col + D2 <= D4);
470
471 for(unsigned int i=0; i<D1; ++i) {
472 for(unsigned int j=0; j<D2; ++j)
473 lhs(i,j) = rhs(i+row,j+col);
474 }
475 }
476 }; // struct RetrieveMatrix
477
478 // specialization for getting symmetric matrices from general matrices (MUST fail)
479 template <class T, unsigned int D1, unsigned int D2,
480 unsigned int D3, unsigned int D4 >
481 struct RetrieveMatrix<T, D1, D2, D3, D4, MatRepSym<T,D1>, MatRepStd<T,D3,D4> > {
482 static void Evaluate(SMatrix<T,D1,D2,MatRepSym<T,D1> >& ,
483 const SMatrix<T,D3,D4,MatRepStd<T,D3,D4> >& ,
484 unsigned int , unsigned int )
485 {
486 STATIC_CHECK(0==1, Cannot_Sub_Matrix_symmetric_in_general_matrix);
487 }
488 }; // struct RetrieveMatrix
489
490 // specialization for getting symmetric matrices from symmetric matrices (OK if row == col)
491 template <class T, unsigned int D1, unsigned int D2,
492 unsigned int D3, unsigned int D4 >
493 struct RetrieveMatrix<T, D1, D2, D3, D4, MatRepSym<T,D1>, MatRepSym<T,D3> > {
494 static void Evaluate(SMatrix<T,D1,D2,MatRepSym<T,D1> >& lhs,
495 const SMatrix<T,D3,D4,MatRepSym<T,D3> >& rhs,
496 unsigned int row, unsigned int col )
497 {
498 STATIC_CHECK( D1 <= D3,Smatrix_dimension1_too_small);
499 // can work only if placed on the diagonal
500 assert(row == col);
501 assert(row + D1 <= D3);
502
503 for(unsigned int i=0; i<D1; ++i) {
504 for(unsigned int j=0; j<=i; ++j)
505 lhs(i,j) = rhs(i+row,j+col );
506 }
507 }
508
509 }; // struct RetrieveMatrix
510
511 /**
512 Structure for assignment to a general matrix from iterator.
513 Optionally a check is done that iterator size
514 is not larger than matrix size
515 */
516 template <class T, unsigned int D1, unsigned int D2, class R>
517 struct AssignItr {
518 template<class Iterator>
519 static void Evaluate(SMatrix<T,D1,D2,R>& lhs, Iterator begin, Iterator end,
520 bool triang, bool lower,bool check=true) {
521 // require size match exactly (better)
522
523 if (triang) {
524 Iterator itr = begin;
525 if (lower) {
526 for (unsigned int i = 0; i < D1; ++i)
527 for (unsigned int j =0; j <= i; ++j) {
528 // we assume iterator is well bounded within matrix
529 lhs.fRep[i*D2+j] = *itr++;
530 }
531
532 }
533 else { // upper
534 for (unsigned int i = 0; i < D1; ++i)
535 for (unsigned int j = i; j <D2; ++j) {
536 if (itr != end)
537 lhs.fRep[i*D2+j] = *itr++;
538 else
539 return;
540 }
541
542 }
543 }
544 // case of filling the full matrix
545 else {
546 if (check) assert( begin + R::kSize == end);
547 // copy directly the elements
548 std::copy(begin, end, lhs.fRep.Array() );
549 }
550 }
551
552 }; // struct AssignItr
553
554 /**
555 Specialized structure for assignment to a symmetrix matrix from iterator.
556 Optionally a check is done that iterator size
557 is the same as the matrix size
558 */
559 template <class T, unsigned int D1, unsigned int D2>
560 struct AssignItr<T, D1, D2, MatRepSym<T,D1> > {
561 template<class Iterator>
562 static void Evaluate(SMatrix<T,D1,D2,MatRepSym<T,D1> >& lhs, Iterator begin, Iterator end, bool , bool lower, bool check = true) {
563
564 if (lower) {
565 if (check) {
566 assert(begin+ static_cast< int>( MatRepSym<T,D1>::kSize) == end);
567 }
568 std::copy(begin, end, lhs.fRep.Array() );
569 }
570 else {
571 Iterator itr = begin;
572 for (unsigned int i = 0; i < D1; ++i)
573 for (unsigned int j = i; j <D2; ++j) {
574 if (itr != end)
575 lhs(i,j) = *itr++;
576 else
577 return;
578 }
579 }
580 }
581
582 }; // struct AssignItr
583
584
585} // namespace Math
586
587} // namespace ROOT
588
589#endif // MATH_HELPEROPS_H
#define STATIC_CHECK(expr, msg)
Definition: StaticCheck.h:56
@ kSize
Definition: TStructNode.h:26
T apply(unsigned int i) const
Definition: Expression.h:150
bool IsInUse(const T *p) const
function to determine if any use operand is being used (has same memory adress)
Definition: Expression.h:161
Expression wrapper class for Matrix objects.
MatRepSym Matrix storage representation for a symmetric matrix of dimension NxN This class is a templ...
SMatrix: a generic fixed size D1 x D2 Matrix class.
Definition: SMatrix.h:124
T apply(unsigned int i) const
access the parse tree with the index starting from zero and following the C convention for the order ...
Definition: SMatrix.icc:627
iterator begin()
STL iterator interface.
Definition: SMatrix.icc:670
R fRep
Matrix Storage Object containing matrix data.
Definition: SMatrix.h:709
Namespace for new Math classes and functions.
static double A[]
double T(double x)
Definition: ChebyshevPol.h:34
tbb::task_arena is an alias of tbb::interface7::task_arena, which doesn't allow to forward declare tb...
Definition: StringConv.hxx:21
#define R1(v, w, x, y, z, i)
Definition: sha1.inl:134
#define R2(v, w, x, y, z, i)
Definition: sha1.inl:137
static void Evaluate(SMatrix< T, D1, D2, MatRepSym< T, D1 > > &lhs, Iterator begin, Iterator end, bool, bool lower, bool check=true)
Definition: HelperOps.h:562
Structure for assignment to a general matrix from iterator.
Definition: HelperOps.h:517
static void Evaluate(SMatrix< T, D1, D2, R > &lhs, Iterator begin, Iterator end, bool triang, bool lower, bool check=true)
Definition: HelperOps.h:519
Force Expression evaluation from general to symmetric.
Definition: HelperOps.h:150
static void Evaluate(SMatrix< T, D, D, MatRepSym< T, D > > &lhs, const Expr< A, T, D, D, R > &rhs)
assign a symmetric matrix from an expression
Definition: HelperOps.h:156
static void Evaluate(SMatrix< T, D, D, MatRepSym< T, D > > &lhs, const SMatrix< T, D, D, R > &rhs)
assign the symmetric matric from a general matrix
Definition: HelperOps.h:171
static void Evaluate(SMatrix< T, D1, D2, MatRepSym< T, D1 > > &lhs, const Expr< A, T, D1, D2, MatRepSym< T, D1 > > &rhs)
Evaluate the expression from symmetric to symmetric matrices.
Definition: HelperOps.h:97
static void Evaluate(SMatrix< T, D1, D2, MatRepSym< T, D1 > > &, const Expr< A, T, D1, D2, MatRepStd< T, D1, D2 > > &)
Definition: HelperOps.h:133
Structure to assign from an expression based to general matrix to general matrix.
Definition: HelperOps.h:49
static void Evaluate(SMatrix< T, D1, D2, R1 > &lhs, const Expr< A, T, D1, D2, R2 > &rhs)
Evaluate the expression from general to general matrices.
Definition: HelperOps.h:55
static void Evaluate(SMatrix< T, D1, D2, MatRepSym< T, D1 > > &lhs, const Expr< A, T, D1, D2, MatRepSym< T, D1 > > &rhs)
Definition: HelperOps.h:317
static void Evaluate(SMatrix< T, D1, D2, MatRepSym< T, D1 > > &, const Expr< A, T, D1, D2, MatRepStd< T, D1, D2 > > &)
Definition: HelperOps.h:347
Evaluate the expression performing a -= operation Need to check whether creating a temporary object w...
Definition: HelperOps.h:280
static void Evaluate(SMatrix< T, D1, D2, R1 > &lhs, const Expr< A, T, D1, D2, R2 > &rhs)
Definition: HelperOps.h:281
static void Evaluate(SMatrix< T, D1, D2, MatRepSym< T, D1 > > &, const Expr< A, T, D3, D4, MatRepStd< T, D3, D4 > > &, unsigned int, unsigned int)
Definition: HelperOps.h:408
static void Evaluate(SMatrix< T, D1, D2, MatRepSym< T, D1 > > &lhs, const Expr< A, T, D3, D4, MatRepSym< T, D3 > > &rhs, unsigned int row, unsigned int col)
Definition: HelperOps.h:439
static void Evaluate(SMatrix< T, D1, D2, R1 > &lhs, const Expr< A, T, D3, D4, R2 > &rhs, unsigned int row, unsigned int col)
Definition: HelperOps.h:380
static void Evaluate(SMatrix< T, D1, D2, MatRepSym< T, D1 > > &, const SMatrix< T, D3, D4, MatRepStd< T, D3, D4 > > &, unsigned int, unsigned int)
Definition: HelperOps.h:396
static void Evaluate(SMatrix< T, D1, D2, MatRepSym< T, D1 > > &lhs, const SMatrix< T, D3, D4, MatRepSym< T, D3 > > &rhs, unsigned int row, unsigned int col)
Definition: HelperOps.h:421
Structure to deal when a submatrix is placed in a matrix.
Definition: HelperOps.h:362
static void Evaluate(SMatrix< T, D1, D2, R1 > &lhs, const SMatrix< T, D3, D4, R2 > &rhs, unsigned int row, unsigned int col)
Definition: HelperOps.h:363
static void Evaluate(SMatrix< T, D1, D2, MatRepSym< T, D1 > > &, const Expr< A, T, D1, D2, MatRepStd< T, D1, D2 > > &)
Definition: HelperOps.h:263
static void Evaluate(SMatrix< T, D1, D2, MatRepSym< T, D1 > > &lhs, const Expr< A, T, D1, D2, MatRepSym< T, D1 > > &rhs)
Definition: HelperOps.h:234
Evaluate the expression performing a += operation Need to check whether creating a temporary object w...
Definition: HelperOps.h:196
static void Evaluate(SMatrix< T, D1, D2, R1 > &lhs, const Expr< A, T, D1, D2, R2 > &rhs)
Definition: HelperOps.h:197
static void Evaluate(SMatrix< T, D1, D2, MatRepSym< T, D1 > > &lhs, const SMatrix< T, D3, D4, MatRepSym< T, D3 > > &rhs, unsigned int row, unsigned int col)
Definition: HelperOps.h:494
static void Evaluate(SMatrix< T, D1, D2, MatRepSym< T, D1 > > &, const SMatrix< T, D3, D4, MatRepStd< T, D3, D4 > > &, unsigned int, unsigned int)
Definition: HelperOps.h:482
Structure for getting sub matrices We have different cases according to the matrix representations.
Definition: HelperOps.h:462
static void Evaluate(SMatrix< T, D1, D2, R1 > &lhs, const SMatrix< T, D3, D4, R2 > &rhs, unsigned int row, unsigned int col)
Definition: HelperOps.h:463
auto * l
Definition: textangle.C:4