GetFEM  5.4.3
gmm_blas_interface.h
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30 ===========================================================================*/
31 
32 /**@file gmm_blas_interface.h
33  @author Yves Renard <Yves.Renard@insa-lyon.fr>
34  @date October 7, 2003.
35  @brief gmm interface for fortran BLAS.
36 */
37 
38 #if defined(GMM_USES_BLAS) || defined(GMM_USES_LAPACK)
39 
40 #ifndef GMM_BLAS_INTERFACE_H
41 #define GMM_BLAS_INTERFACE_H
42 
43 #include "gmm_blas.h"
44 #include "gmm_interface.h"
45 #include "gmm_matrix.h"
46 
47 namespace gmm {
48 
49  // Use ./configure --enable-blas-interface to activate this interface.
50 
51 #define GMMLAPACK_TRACE(f)
52 // #define GMMLAPACK_TRACE(f) cout << "function " << f << " called" << endl;
53 
54 #if defined(WeirdNEC) || defined(GMM_USE_BLAS64_INTERFACE)
55  #define BLAS_INT long
56 #else // By default BLAS_INT will just be int in C
57  #define BLAS_INT int
58 #endif
59 
60  /* ********************************************************************* */
61  /* Operations interfaced for T = float, double, std::complex<float> */
62  /* or std::complex<double> : */
63  /* */
64  /* vect_norm2(std::vector<T>) */
65  /* */
66  /* vect_sp(std::vector<T>, std::vector<T>) */
67  /* vect_sp(scaled(std::vector<T>), std::vector<T>) */
68  /* vect_sp(std::vector<T>, scaled(std::vector<T>)) */
69  /* vect_sp(scaled(std::vector<T>), scaled(std::vector<T>)) */
70  /* */
71  /* vect_hp(std::vector<T>, std::vector<T>) */
72  /* vect_hp(scaled(std::vector<T>), std::vector<T>) */
73  /* vect_hp(std::vector<T>, scaled(std::vector<T>)) */
74  /* vect_hp(scaled(std::vector<T>), scaled(std::vector<T>)) */
75  /* */
76  /* add(std::vector<T>, std::vector<T>) */
77  /* add(scaled(std::vector<T>, a), std::vector<T>) */
78  /* */
79  /* mult(dense_matrix<T>, dense_matrix<T>, dense_matrix<T>) */
80  /* mult(transposed(dense_matrix<T>), dense_matrix<T>, dense_matrix<T>) */
81  /* mult(dense_matrix<T>, transposed(dense_matrix<T>), dense_matrix<T>) */
82  /* mult(transposed(dense_matrix<T>), transposed(dense_matrix<T>), */
83  /* dense_matrix<T>) */
84  /* mult(conjugated(dense_matrix<T>), dense_matrix<T>, dense_matrix<T>) */
85  /* mult(dense_matrix<T>, conjugated(dense_matrix<T>), dense_matrix<T>) */
86  /* mult(conjugated(dense_matrix<T>), conjugated(dense_matrix<T>), */
87  /* dense_matrix<T>) */
88  /* */
89  /* mult(dense_matrix<T>, std::vector<T>, std::vector<T>) */
90  /* mult(transposed(dense_matrix<T>), std::vector<T>, std::vector<T>) */
91  /* mult(conjugated(dense_matrix<T>), std::vector<T>, std::vector<T>) */
92  /* mult(dense_matrix<T>, scaled(std::vector<T>), std::vector<T>) */
93  /* mult(transposed(dense_matrix<T>), scaled(std::vector<T>), */
94  /* std::vector<T>) */
95  /* mult(conjugated(dense_matrix<T>), scaled(std::vector<T>), */
96  /* std::vector<T>) */
97  /* */
98  /* mult_add(dense_matrix<T>, std::vector<T>, std::vector<T>) */
99  /* mult_add(transposed(dense_matrix<T>), std::vector<T>, std::vector<T>) */
100  /* mult_add(conjugated(dense_matrix<T>), std::vector<T>, std::vector<T>) */
101  /* mult_add(dense_matrix<T>, scaled(std::vector<T>), std::vector<T>) */
102  /* mult_add(transposed(dense_matrix<T>), scaled(std::vector<T>), */
103  /* std::vector<T>) */
104  /* mult_add(conjugated(dense_matrix<T>), scaled(std::vector<T>), */
105  /* std::vector<T>) */
106  /* */
107  /* mult(dense_matrix<T>, std::vector<T>, std::vector<T>, std::vector<T>) */
108  /* mult(transposed(dense_matrix<T>), std::vector<T>, std::vector<T>, */
109  /* std::vector<T>) */
110  /* mult(conjugated(dense_matrix<T>), std::vector<T>, std::vector<T>, */
111  /* std::vector<T>) */
112  /* mult(dense_matrix<T>, scaled(std::vector<T>), std::vector<T>, */
113  /* std::vector<T>) */
114  /* mult(transposed(dense_matrix<T>), scaled(std::vector<T>), */
115  /* std::vector<T>, std::vector<T>) */
116  /* mult(conjugated(dense_matrix<T>), scaled(std::vector<T>), */
117  /* std::vector<T>, std::vector<T>) */
118  /* mult(dense_matrix<T>, std::vector<T>, scaled(std::vector<T>), */
119  /* std::vector<T>) */
120  /* mult(transposed(dense_matrix<T>), std::vector<T>, */
121  /* scaled(std::vector<T>), std::vector<T>) */
122  /* mult(conjugated(dense_matrix<T>), std::vector<T>, */
123  /* scaled(std::vector<T>), std::vector<T>) */
124  /* mult(dense_matrix<T>, scaled(std::vector<T>), scaled(std::vector<T>), */
125  /* std::vector<T>) */
126  /* mult(transposed(dense_matrix<T>), scaled(std::vector<T>), */
127  /* scaled(std::vector<T>), std::vector<T>) */
128  /* mult(conjugated(dense_matrix<T>), scaled(std::vector<T>), */
129  /* scaled(std::vector<T>), std::vector<T>) */
130  /* */
131  /* lower_tri_solve(dense_matrix<T>, std::vector<T>, k, b) */
132  /* upper_tri_solve(dense_matrix<T>, std::vector<T>, k, b) */
133  /* lower_tri_solve(transposed(dense_matrix<T>), std::vector<T>, k, b) */
134  /* upper_tri_solve(transposed(dense_matrix<T>), std::vector<T>, k, b) */
135  /* lower_tri_solve(conjugated(dense_matrix<T>), std::vector<T>, k, b) */
136  /* upper_tri_solve(conjugated(dense_matrix<T>), std::vector<T>, k, b) */
137  /* */
138  /* rank_one_update(dense_matrix<T>, std::vector<T>, std::vector<T>) */
139  /* rank_one_update(dense_matrix<T>, scaled(std::vector<T>), */
140  /* std::vector<T>) */
141  /* rank_one_update(dense_matrix<T>, std::vector<T>, */
142  /* scaled(std::vector<T>)) */
143  /* */
144  /* ********************************************************************* */
145 
146  /* ********************************************************************* */
147  /* Basic defines. */
148  /* ********************************************************************* */
149 
150 # define BLAS_S float
151 # define BLAS_D double
152 # define BLAS_C std::complex<float>
153 # define BLAS_Z std::complex<double>
154 
155 // Hack due to BLAS ABI mess
156 #if defined(GMM_BLAS_RETURN_COMPLEX_AS_ARGUMENT)
157 # define BLAS_CPLX_FUNC_CALL(blasname, res, ...) blasname(&res, __VA_ARGS__)
158 #else
159 # define BLAS_CPLX_FUNC_CALL(blasname, res, ...) res = blasname(__VA_ARGS__)
160 #endif
161 
162  /* ********************************************************************* */
163  /* BLAS functions used. */
164  /* ********************************************************************* */
165  extern "C" {
166  void daxpy_(const BLAS_INT *n, const double *alpha, const double *x,
167  const BLAS_INT *incx, double *y, const BLAS_INT *incy);
168  void dgemm_(const char *tA, const char *tB, const BLAS_INT *m,
169  const BLAS_INT *n, const BLAS_INT *k, const double *alpha,
170  const double *A, const BLAS_INT *ldA, const double *B,
171  const BLAS_INT *ldB, const double *beta, double *C,
172  const BLAS_INT *ldC);
173  void sgemm_(...); void cgemm_(...); void zgemm_(...);
174  void sgemv_(...); void dgemv_(...); void cgemv_(...); void zgemv_(...);
175  void strsv_(...); void dtrsv_(...); void ctrsv_(...); void ztrsv_(...);
176  void saxpy_(...); /*void daxpy_(...); */void caxpy_(...); void zaxpy_(...);
177  BLAS_S sdot_ (...); BLAS_D ddot_ (...);
178  BLAS_C cdotu_(...); BLAS_Z zdotu_(...);
179  // Hermitian product in {c,z}dotc is defined in reverse order than usually
180  BLAS_C cdotc_(...); BLAS_Z zdotc_(...);
181  BLAS_S snrm2_(...); BLAS_D dnrm2_(...);
182  BLAS_S scnrm2_(...); BLAS_D dznrm2_(...);
183  void sger_(...); void dger_(...); void cgerc_(...); void zgerc_(...);
184  }
185 
186 
187  /* ********************************************************************* */
188  /* vect_norm2(x). */
189  /* ********************************************************************* */
190 
191 # define nrm2_interface(blas_name, base_type) \
192  inline number_traits<base_type>::magnitude_type \
193  vect_norm2(const std::vector<base_type> &x) { \
194  GMMLAPACK_TRACE("nrm2_interface"); \
195  BLAS_INT inc(1), n(BLAS_INT(vect_size(x))); \
196  return blas_name(&n, &x[0], &inc); \
197  }
198 
199  nrm2_interface(snrm2_, BLAS_S)
200  nrm2_interface(dnrm2_, BLAS_D)
201  nrm2_interface(scnrm2_, BLAS_C)
202  nrm2_interface(dznrm2_, BLAS_Z)
203 
204  /* ********************************************************************* */
205  /* vect_sp(x,y) = vect_hp(x,y) for real vectors */
206  /* ********************************************************************* */
207 
208 # define dot_interface(funcname, msg, blas_name, base_type) \
209  inline base_type funcname(const std::vector<base_type> &x, \
210  const std::vector<base_type> &y) { \
211  GMMLAPACK_TRACE(msg); \
212  BLAS_INT inc(1), n(BLAS_INT(vect_size(y))); \
213  return blas_name(&n, &x[0], &inc, &y[0], &inc); \
214  } \
215  inline base_type funcname \
216  (const scaled_vector_const_ref<std::vector<base_type>,base_type> &x_, \
217  const std::vector<base_type> &y) { \
218  GMMLAPACK_TRACE(msg); \
219  const std::vector<base_type> &x = *(linalg_origin(x_)); \
220  base_type a(x_.r); \
221  BLAS_INT inc(1), n(BLAS_INT(vect_size(y))); \
222  return a * blas_name(&n, &x[0], &inc, &y[0], &inc); \
223  } \
224  inline base_type funcname \
225  (const std::vector<base_type> &x, \
226  const scaled_vector_const_ref<std::vector<base_type>,base_type> &y_) {\
227  GMMLAPACK_TRACE(msg); \
228  const std::vector<base_type> &y = *(linalg_origin(y_)); \
229  base_type b(y_.r); \
230  BLAS_INT inc(1), n(BLAS_INT(vect_size(y))); \
231  return b * blas_name(&n, &x[0], &inc, &y[0], &inc); \
232  } \
233  inline base_type funcname \
234  (const scaled_vector_const_ref<std::vector<base_type>,base_type> &x_, \
235  const scaled_vector_const_ref<std::vector<base_type>,base_type> &y_) {\
236  GMMLAPACK_TRACE(msg); \
237  const std::vector<base_type> &x = *(linalg_origin(x_)); \
238  const std::vector<base_type> &y = *(linalg_origin(y_)); \
239  base_type a(x_.r), b(y_.r); \
240  BLAS_INT inc(1), n(BLAS_INT(vect_size(y))); \
241  return a*b * blas_name(&n, &x[0], &inc, &y[0], &inc); \
242  }
243 
244  dot_interface(vect_sp, "dot_interface", sdot_, BLAS_S)
245  dot_interface(vect_sp, "dot_interface", ddot_, BLAS_D)
246  dot_interface(vect_hp, "dotc_interface", sdot_, BLAS_S)
247  dot_interface(vect_hp, "dotc_interface", ddot_, BLAS_D)
248 
249  /* ********************************************************************* */
250  /* vect_sp(x,y) and vect_hp(x,y) for complex vectors */
251  /* vect_hp(x, y) = x.conj(y) (different order than in BLAS) */
252  /* switching x,y before passed to BLAS is important only for vect_hp */
253  /* ********************************************************************* */
254 
255 # define dot_interface_cplx(funcname, msg, blas_name, base_type, bdef) \
256  inline base_type funcname(const std::vector<base_type> &x, \
257  const std::vector<base_type> &y) { \
258  GMMLAPACK_TRACE(msg); \
259  base_type res; \
260  BLAS_INT inc(1), n(BLAS_INT(vect_size(y))); \
261  BLAS_CPLX_FUNC_CALL(blas_name, res, &n, &y[0], &inc, &x[0], &inc); \
262  return res; \
263  } \
264  inline base_type funcname \
265  (const scaled_vector_const_ref<std::vector<base_type>,base_type> &x_, \
266  const std::vector<base_type> &y) { \
267  GMMLAPACK_TRACE(msg); \
268  const std::vector<base_type> &x = *(linalg_origin(x_)); \
269  base_type res, a(x_.r); \
270  BLAS_INT inc(1), n(BLAS_INT(vect_size(y))); \
271  BLAS_CPLX_FUNC_CALL(blas_name, res, &n, &y[0], &inc, &x[0], &inc); \
272  return a*res; \
273  } \
274  inline base_type funcname \
275  (const std::vector<base_type> &x, \
276  const scaled_vector_const_ref<std::vector<base_type>,base_type> &y_) {\
277  GMMLAPACK_TRACE(msg); \
278  const std::vector<base_type> &y = *(linalg_origin(y_)); \
279  base_type res, b(bdef); \
280  BLAS_INT inc(1), n(BLAS_INT(vect_size(y))); \
281  BLAS_CPLX_FUNC_CALL(blas_name, res, &n, &y[0], &inc, &x[0], &inc); \
282  return b*res; \
283  } \
284  inline base_type funcname \
285  (const scaled_vector_const_ref<std::vector<base_type>,base_type> &x_, \
286  const scaled_vector_const_ref<std::vector<base_type>,base_type> &y_) {\
287  GMMLAPACK_TRACE(msg); \
288  const std::vector<base_type> &x = *(linalg_origin(x_)); \
289  const std::vector<base_type> &y = *(linalg_origin(y_)); \
290  base_type res, a(x_.r), b(bdef); \
291  BLAS_INT inc(1), n(BLAS_INT(vect_size(y))); \
292  BLAS_CPLX_FUNC_CALL(blas_name, res, &n, &y[0], &inc, &x[0], &inc); \
293  return a*b*res; \
294  }
295 
296  dot_interface_cplx(vect_sp, "dot_interface", cdotu_, BLAS_C, y_.r)
297  dot_interface_cplx(vect_sp, "dot_interface", zdotu_, BLAS_Z, y_.r)
298  dot_interface_cplx(vect_hp, "dotc_interface", cdotc_, BLAS_C, gmm::conj(y_.r))
299  dot_interface_cplx(vect_hp, "dotc_interface", zdotc_, BLAS_Z, gmm::conj(y_.r))
300 
301 
302  /* ********************************************************************* */
303  /* add(x, y). */
304  /* ********************************************************************* */
305  template<size_type N, class V1, class V2>
306  inline void add_fixed(const V1 &x, V2 &y)
307  {
308  for(size_type i = 0; i != N; ++i) y[i] += x[i];
309  }
310 
311  template<class V1, class V2>
312  inline void add_for_short_vectors(const V1 &x, V2 &y, size_type n)
313  {
314  switch(n)
315  {
316  case 1: add_fixed<1>(x, y); break;
317  case 2: add_fixed<2>(x, y); break;
318  case 3: add_fixed<3>(x, y); break;
319  case 4: add_fixed<4>(x, y); break;
320  case 5: add_fixed<5>(x, y); break;
321  case 6: add_fixed<6>(x, y); break;
322  case 7: add_fixed<7>(x, y); break;
323  case 8: add_fixed<8>(x, y); break;
324  case 9: add_fixed<9>(x, y); break;
325  case 10: add_fixed<10>(x, y); break;
326  case 11: add_fixed<11>(x, y); break;
327  case 12: add_fixed<12>(x, y); break;
328  case 13: add_fixed<13>(x, y); break;
329  case 14: add_fixed<14>(x, y); break;
330  case 15: add_fixed<15>(x, y); break;
331  case 16: add_fixed<16>(x, y); break;
332  case 17: add_fixed<17>(x, y); break;
333  case 18: add_fixed<18>(x, y); break;
334  case 19: add_fixed<19>(x, y); break;
335  case 20: add_fixed<20>(x, y); break;
336  case 21: add_fixed<21>(x, y); break;
337  case 22: add_fixed<22>(x, y); break;
338  case 23: add_fixed<23>(x, y); break;
339  case 24: add_fixed<24>(x, y); break;
340  default:
341  GMM_ASSERT2(false, "add_for_short_vectors used with unsupported size");
342  break;
343  }
344  }
345 
346  template<size_type N, class V1, class V2, class T>
347  inline void add_fixed(const V1 &x, V2 &y, const T &a)
348  {
349  for(size_type i = 0; i != N; ++i) y[i] += a*x[i];
350  }
351 
352  template<class V1, class V2, class T>
353  inline void add_for_short_vectors(const V1 &x, V2 &y, const T &a, size_type n)
354  {
355  switch(n)
356  {
357  case 1: add_fixed<1>(x, y, a); break;
358  case 2: add_fixed<2>(x, y, a); break;
359  case 3: add_fixed<3>(x, y, a); break;
360  case 4: add_fixed<4>(x, y, a); break;
361  case 5: add_fixed<5>(x, y, a); break;
362  case 6: add_fixed<6>(x, y, a); break;
363  case 7: add_fixed<7>(x, y, a); break;
364  case 8: add_fixed<8>(x, y, a); break;
365  case 9: add_fixed<9>(x, y, a); break;
366  case 10: add_fixed<10>(x, y, a); break;
367  case 11: add_fixed<11>(x, y, a); break;
368  case 12: add_fixed<12>(x, y, a); break;
369  case 13: add_fixed<13>(x, y, a); break;
370  case 14: add_fixed<14>(x, y, a); break;
371  case 15: add_fixed<15>(x, y, a); break;
372  case 16: add_fixed<16>(x, y, a); break;
373  case 17: add_fixed<17>(x, y, a); break;
374  case 18: add_fixed<18>(x, y, a); break;
375  case 19: add_fixed<19>(x, y, a); break;
376  case 20: add_fixed<20>(x, y, a); break;
377  case 21: add_fixed<21>(x, y, a); break;
378  case 22: add_fixed<22>(x, y, a); break;
379  case 23: add_fixed<23>(x, y, a); break;
380  case 24: add_fixed<24>(x, y, a); break;
381  default:
382  GMM_ASSERT2(false, "add_for_short_vectors used with unsupported size");
383  break;
384  }
385  }
386 
387 
388 # define axpy_interface(blas_name, base_type) \
389  inline void add(const std::vector<base_type> &x, \
390  std::vector<base_type> &y) { \
391  GMMLAPACK_TRACE("axpy_interface"); \
392  BLAS_INT inc(1), n(BLAS_INT(vect_size(y))); base_type a(1); \
393  if(n == 0) return; \
394  else if(n < 25) add_for_short_vectors(x, y, n); \
395  else blas_name(&n, &a, &x[0], &inc, &y[0], &inc); \
396  }
397 
398  axpy_interface(saxpy_, BLAS_S)
399  axpy_interface(daxpy_, BLAS_D)
400  axpy_interface(caxpy_, BLAS_C)
401  axpy_interface(zaxpy_, BLAS_Z)
402 
403 
404 # define axpy2_interface(blas_name, base_type) \
405  inline void add \
406  (const scaled_vector_const_ref<std::vector<base_type>,base_type> &x_, \
407  std::vector<base_type> &y) { \
408  GMMLAPACK_TRACE("axpy_interface"); \
409  BLAS_INT inc(1), n(BLAS_INT(vect_size(y))); \
410  const std::vector<base_type>& x = *(linalg_origin(x_)); \
411  base_type a(x_.r); \
412  if(n == 0) return; \
413  else if(n < 25) add_for_short_vectors(x, y, a, n); \
414  else blas_name(&n, &a, &x[0], &inc, &y[0], &inc); \
415  }
416 
417  axpy2_interface(saxpy_, BLAS_S)
418  axpy2_interface(daxpy_, BLAS_D)
419  axpy2_interface(caxpy_, BLAS_C)
420  axpy2_interface(zaxpy_, BLAS_Z)
421 
422 
423  /* ********************************************************************* */
424  /* mult_add(A, x, z). */
425  /* ********************************************************************* */
426 
427 # define gemv_interface(param1, trans1, param2, trans2, blas_name, \
428  base_type, orien) \
429  inline void mult_add_spec(param1(base_type), param2(base_type), \
430  std::vector<base_type> &z, orien) { \
431  GMMLAPACK_TRACE("gemv_interface"); \
432  trans1(base_type); trans2(base_type); base_type beta(1); \
433  BLAS_INT m(BLAS_INT(mat_nrows(A))), lda(m); \
434  BLAS_INT n(BLAS_INT(mat_ncols(A))), inc(1); \
435  if (m && n) blas_name(&t, &m, &n, &alpha, &A(0,0), &lda, &x[0], &inc, \
436  &beta, &z[0], &inc); \
437  else gmm::clear(z); \
438  }
439 
440  // First parameter
441 # define gem_p1_n(base_type) const dense_matrix<base_type> &A
442 # define gem_trans1_n(base_type) const char t = 'N'
443 # define gem_p1_t(base_type) \
444  const transposed_col_ref<dense_matrix<base_type> *> &A_
445 # define gem_trans1_t(base_type) const dense_matrix<base_type> &A = \
446  *(linalg_origin(A_)); \
447  const char t = 'T'
448 # define gem_p1_tc(base_type) \
449  const transposed_col_ref<const dense_matrix<base_type> *> &A_
450 # define gem_p1_c(base_type) \
451  const conjugated_col_matrix_const_ref<dense_matrix<base_type> > &A_
452 # define gem_trans1_c(base_type) const dense_matrix<base_type> &A = \
453  *(linalg_origin(A_)); \
454  const char t = 'C'
455 
456  // second parameter
457 # define gemv_p2_n(base_type) const std::vector<base_type> &x
458 # define gemv_trans2_n(base_type) base_type alpha(1)
459 # define gemv_p2_s(base_type) \
460  const scaled_vector_const_ref<std::vector<base_type>,base_type> &x_
461 # define gemv_trans2_s(base_type) const std::vector<base_type> &x = \
462  (*(linalg_origin(x_))); \
463  base_type alpha(x_.r)
464 
465  // Z <- AX + Z.
466  gemv_interface(gem_p1_n, gem_trans1_n,
467  gemv_p2_n, gemv_trans2_n, sgemv_, BLAS_S, col_major)
468  gemv_interface(gem_p1_n, gem_trans1_n,
469  gemv_p2_n, gemv_trans2_n, dgemv_, BLAS_D, col_major)
470  gemv_interface(gem_p1_n, gem_trans1_n,
471  gemv_p2_n, gemv_trans2_n, cgemv_, BLAS_C, col_major)
472  gemv_interface(gem_p1_n, gem_trans1_n,
473  gemv_p2_n, gemv_trans2_n, zgemv_, BLAS_Z, col_major)
474 
475  // Z <- transposed(A)X + Z.
476  gemv_interface(gem_p1_t, gem_trans1_t,
477  gemv_p2_n, gemv_trans2_n, sgemv_, BLAS_S, row_major)
478  gemv_interface(gem_p1_t, gem_trans1_t,
479  gemv_p2_n, gemv_trans2_n, dgemv_, BLAS_D, row_major)
480  gemv_interface(gem_p1_t, gem_trans1_t,
481  gemv_p2_n, gemv_trans2_n, cgemv_, BLAS_C, row_major)
482  gemv_interface(gem_p1_t, gem_trans1_t,
483  gemv_p2_n, gemv_trans2_n, zgemv_, BLAS_Z, row_major)
484 
485  // Z <- transposed(const A)X + Z.
486  gemv_interface(gem_p1_tc, gem_trans1_t,
487  gemv_p2_n, gemv_trans2_n, sgemv_, BLAS_S, row_major)
488  gemv_interface(gem_p1_tc, gem_trans1_t,
489  gemv_p2_n, gemv_trans2_n, dgemv_, BLAS_D, row_major)
490  gemv_interface(gem_p1_tc, gem_trans1_t,
491  gemv_p2_n, gemv_trans2_n, cgemv_, BLAS_C, row_major)
492  gemv_interface(gem_p1_tc, gem_trans1_t,
493  gemv_p2_n, gemv_trans2_n, zgemv_, BLAS_Z, row_major)
494 
495  // Z <- conjugated(A)X + Z.
496  gemv_interface(gem_p1_c, gem_trans1_c,
497  gemv_p2_n, gemv_trans2_n, sgemv_, BLAS_S, row_major)
498  gemv_interface(gem_p1_c, gem_trans1_c,
499  gemv_p2_n, gemv_trans2_n, dgemv_, BLAS_D, row_major)
500  gemv_interface(gem_p1_c, gem_trans1_c,
501  gemv_p2_n, gemv_trans2_n, cgemv_, BLAS_C, row_major)
502  gemv_interface(gem_p1_c, gem_trans1_c,
503  gemv_p2_n, gemv_trans2_n, zgemv_, BLAS_Z, row_major)
504 
505  // Z <- A scaled(X) + Z.
506  gemv_interface(gem_p1_n, gem_trans1_n,
507  gemv_p2_s, gemv_trans2_s, sgemv_, BLAS_S, col_major)
508  gemv_interface(gem_p1_n, gem_trans1_n,
509  gemv_p2_s, gemv_trans2_s, dgemv_, BLAS_D, col_major)
510  gemv_interface(gem_p1_n, gem_trans1_n,
511  gemv_p2_s, gemv_trans2_s, cgemv_, BLAS_C, col_major)
512  gemv_interface(gem_p1_n, gem_trans1_n,
513  gemv_p2_s, gemv_trans2_s, zgemv_, BLAS_Z, col_major)
514 
515  // Z <- transposed(A) scaled(X) + Z.
516  gemv_interface(gem_p1_t, gem_trans1_t,
517  gemv_p2_s, gemv_trans2_s, sgemv_, BLAS_S, row_major)
518  gemv_interface(gem_p1_t, gem_trans1_t,
519  gemv_p2_s, gemv_trans2_s, dgemv_, BLAS_D, row_major)
520  gemv_interface(gem_p1_t, gem_trans1_t,
521  gemv_p2_s, gemv_trans2_s, cgemv_, BLAS_C, row_major)
522  gemv_interface(gem_p1_t, gem_trans1_t,
523  gemv_p2_s, gemv_trans2_s, zgemv_, BLAS_Z, row_major)
524 
525  // Z <- transposed(const A) scaled(X) + Z.
526  gemv_interface(gem_p1_tc, gem_trans1_t,
527  gemv_p2_s, gemv_trans2_s, sgemv_, BLAS_S, row_major)
528  gemv_interface(gem_p1_tc, gem_trans1_t,
529  gemv_p2_s, gemv_trans2_s, dgemv_, BLAS_D, row_major)
530  gemv_interface(gem_p1_tc, gem_trans1_t,
531  gemv_p2_s, gemv_trans2_s, cgemv_, BLAS_C, row_major)
532  gemv_interface(gem_p1_tc, gem_trans1_t,
533  gemv_p2_s, gemv_trans2_s, zgemv_, BLAS_Z, row_major)
534 
535  // Z <- conjugated(A) scaled(X) + Z.
536  gemv_interface(gem_p1_c, gem_trans1_c,
537  gemv_p2_s, gemv_trans2_s, sgemv_, BLAS_S, row_major)
538  gemv_interface(gem_p1_c, gem_trans1_c,
539  gemv_p2_s, gemv_trans2_s, dgemv_, BLAS_D, row_major)
540  gemv_interface(gem_p1_c, gem_trans1_c,
541  gemv_p2_s, gemv_trans2_s, cgemv_, BLAS_C, row_major)
542  gemv_interface(gem_p1_c, gem_trans1_c,
543  gemv_p2_s, gemv_trans2_s, zgemv_, BLAS_Z, row_major)
544 
545 
546  /* ********************************************************************* */
547  /* mult(A, x, y). */
548  /* ********************************************************************* */
549 
550 # define gemv_interface2(param1, trans1, param2, trans2, blas_name, \
551  base_type, orien) \
552  inline void mult_spec(param1(base_type), param2(base_type), \
553  std::vector<base_type> &z, orien) { \
554  GMMLAPACK_TRACE("gemv_interface2"); \
555  trans1(base_type); trans2(base_type); base_type beta(0); \
556  BLAS_INT m(BLAS_INT(mat_nrows(A))), lda(m); \
557  BLAS_INT n(BLAS_INT(mat_ncols(A))), inc(1); \
558  if (m && n) \
559  blas_name(&t, &m, &n, &alpha, &A(0,0), &lda, &x[0], &inc, &beta, \
560  &z[0], &inc); \
561  else gmm::clear(z); \
562  }
563 
564  // Y <- AX.
565  gemv_interface2(gem_p1_n, gem_trans1_n,
566  gemv_p2_n, gemv_trans2_n, sgemv_, BLAS_S, col_major)
567  gemv_interface2(gem_p1_n, gem_trans1_n,
568  gemv_p2_n, gemv_trans2_n, dgemv_, BLAS_D, col_major)
569  gemv_interface2(gem_p1_n, gem_trans1_n,
570  gemv_p2_n, gemv_trans2_n, cgemv_, BLAS_C, col_major)
571  gemv_interface2(gem_p1_n, gem_trans1_n,
572  gemv_p2_n, gemv_trans2_n, zgemv_, BLAS_Z, col_major)
573 
574  // Y <- transposed(A)X.
575  gemv_interface2(gem_p1_t, gem_trans1_t,
576  gemv_p2_n, gemv_trans2_n, sgemv_, BLAS_S, row_major)
577  gemv_interface2(gem_p1_t, gem_trans1_t,
578  gemv_p2_n, gemv_trans2_n, dgemv_, BLAS_D, row_major)
579  gemv_interface2(gem_p1_t, gem_trans1_t,
580  gemv_p2_n, gemv_trans2_n, cgemv_, BLAS_C, row_major)
581  gemv_interface2(gem_p1_t, gem_trans1_t,
582  gemv_p2_n, gemv_trans2_n, zgemv_, BLAS_Z, row_major)
583 
584  // Y <- transposed(const A)X.
585  gemv_interface2(gem_p1_tc, gem_trans1_t,
586  gemv_p2_n, gemv_trans2_n, sgemv_, BLAS_S, row_major)
587  gemv_interface2(gem_p1_tc, gem_trans1_t,
588  gemv_p2_n, gemv_trans2_n, dgemv_, BLAS_D, row_major)
589  gemv_interface2(gem_p1_tc, gem_trans1_t,
590  gemv_p2_n, gemv_trans2_n, cgemv_, BLAS_C, row_major)
591  gemv_interface2(gem_p1_tc, gem_trans1_t,
592  gemv_p2_n, gemv_trans2_n, zgemv_, BLAS_Z, row_major)
593 
594  // Y <- conjugated(A)X.
595  gemv_interface2(gem_p1_c, gem_trans1_c,
596  gemv_p2_n, gemv_trans2_n, sgemv_, BLAS_S, row_major)
597  gemv_interface2(gem_p1_c, gem_trans1_c,
598  gemv_p2_n, gemv_trans2_n, dgemv_, BLAS_D, row_major)
599  gemv_interface2(gem_p1_c, gem_trans1_c,
600  gemv_p2_n, gemv_trans2_n, cgemv_, BLAS_C, row_major)
601  gemv_interface2(gem_p1_c, gem_trans1_c,
602  gemv_p2_n, gemv_trans2_n, zgemv_, BLAS_Z, row_major)
603 
604  // Y <- A scaled(X).
605  gemv_interface2(gem_p1_n, gem_trans1_n,
606  gemv_p2_s, gemv_trans2_s, sgemv_, BLAS_S, col_major)
607  gemv_interface2(gem_p1_n, gem_trans1_n,
608  gemv_p2_s, gemv_trans2_s, dgemv_, BLAS_D, col_major)
609  gemv_interface2(gem_p1_n, gem_trans1_n,
610  gemv_p2_s, gemv_trans2_s, cgemv_, BLAS_C, col_major)
611  gemv_interface2(gem_p1_n, gem_trans1_n,
612  gemv_p2_s, gemv_trans2_s, zgemv_, BLAS_Z, col_major)
613 
614  // Y <- transposed(A) scaled(X).
615  gemv_interface2(gem_p1_t, gem_trans1_t,
616  gemv_p2_s, gemv_trans2_s, sgemv_, BLAS_S, row_major)
617  gemv_interface2(gem_p1_t, gem_trans1_t,
618  gemv_p2_s, gemv_trans2_s, dgemv_, BLAS_D, row_major)
619  gemv_interface2(gem_p1_t, gem_trans1_t,
620  gemv_p2_s, gemv_trans2_s, cgemv_, BLAS_C, row_major)
621  gemv_interface2(gem_p1_t, gem_trans1_t,
622  gemv_p2_s, gemv_trans2_s, zgemv_, BLAS_Z, row_major)
623 
624  // Y <- transposed(const A) scaled(X).
625  gemv_interface2(gem_p1_tc, gem_trans1_t,
626  gemv_p2_s, gemv_trans2_s, sgemv_, BLAS_S, row_major)
627  gemv_interface2(gem_p1_tc, gem_trans1_t,
628  gemv_p2_s, gemv_trans2_s, dgemv_, BLAS_D, row_major)
629  gemv_interface2(gem_p1_tc, gem_trans1_t,
630  gemv_p2_s, gemv_trans2_s, cgemv_, BLAS_C, row_major)
631  gemv_interface2(gem_p1_tc, gem_trans1_t,
632  gemv_p2_s, gemv_trans2_s, zgemv_, BLAS_Z, row_major)
633 
634  // Y <- conjugated(A) scaled(X).
635  gemv_interface2(gem_p1_c, gem_trans1_c,
636  gemv_p2_s, gemv_trans2_s, sgemv_, BLAS_S, row_major)
637  gemv_interface2(gem_p1_c, gem_trans1_c,
638  gemv_p2_s, gemv_trans2_s, dgemv_, BLAS_D, row_major)
639  gemv_interface2(gem_p1_c, gem_trans1_c,
640  gemv_p2_s, gemv_trans2_s, cgemv_, BLAS_C, row_major)
641  gemv_interface2(gem_p1_c, gem_trans1_c,
642  gemv_p2_s, gemv_trans2_s, zgemv_, BLAS_Z, row_major)
643 
644 
645  /* ********************************************************************* */
646  /* Rank one update. */
647  /* ********************************************************************* */
648 
649 # define ger_interface(blas_name, base_type) \
650  inline void rank_one_update(const dense_matrix<base_type> &A, \
651  const std::vector<base_type> &V, \
652  const std::vector<base_type> &W) { \
653  GMMLAPACK_TRACE("ger_interface"); \
654  BLAS_INT m(BLAS_INT(mat_nrows(A))), lda = m; \
655  BLAS_INT n(BLAS_INT(mat_ncols(A))); \
656  BLAS_INT incx = 1, incy = 1; \
657  base_type alpha(1); \
658  if (m && n) \
659  blas_name(&m, &n, &alpha, &V[0], &incx, &W[0], &incy, &A(0,0), &lda);\
660  }
661 
662  ger_interface(sger_, BLAS_S)
663  ger_interface(dger_, BLAS_D)
664  ger_interface(cgerc_, BLAS_C)
665  ger_interface(zgerc_, BLAS_Z)
666 
667 # define ger_interface_sn(blas_name, base_type) \
668  inline void rank_one_update(const dense_matrix<base_type> &A, \
669  gemv_p2_s(base_type), \
670  const std::vector<base_type> &W) { \
671  GMMLAPACK_TRACE("ger_interface"); \
672  gemv_trans2_s(base_type); \
673  BLAS_INT m(BLAS_INT(mat_nrows(A))), lda = m; \
674  BLAS_INT n(BLAS_INT(mat_ncols(A))); \
675  BLAS_INT incx = 1, incy = 1; \
676  if (m && n) \
677  blas_name(&m, &n, &alpha, &x[0], &incx, &W[0], &incy, &A(0,0), &lda);\
678  }
679 
680  ger_interface_sn(sger_, BLAS_S)
681  ger_interface_sn(dger_, BLAS_D)
682  ger_interface_sn(cgerc_, BLAS_C)
683  ger_interface_sn(zgerc_, BLAS_Z)
684 
685 # define ger_interface_ns(blas_name, base_type) \
686  inline void rank_one_update(const dense_matrix<base_type> &A, \
687  const std::vector<base_type> &V, \
688  gemv_p2_s(base_type)) { \
689  GMMLAPACK_TRACE("ger_interface"); \
690  gemv_trans2_s(base_type); \
691  BLAS_INT m(BLAS_INT(mat_nrows(A))), lda = m; \
692  BLAS_INT n(BLAS_INT(mat_ncols(A))); \
693  BLAS_INT incx = 1, incy = 1; \
694  base_type al2 = gmm::conj(alpha); \
695  if (m && n) \
696  blas_name(&m, &n, &al2, &V[0], &incx, &x[0], &incy, &A(0,0), &lda); \
697  }
698 
699  ger_interface_ns(sger_, BLAS_S)
700  ger_interface_ns(dger_, BLAS_D)
701  ger_interface_ns(cgerc_, BLAS_C)
702  ger_interface_ns(zgerc_, BLAS_Z)
703 
704  /* ********************************************************************* */
705  /* dense matrix x dense matrix multiplication. */
706  /* ********************************************************************* */
707 
708 # define gemm_interface_nn(blas_name, base_type) \
709  inline void mult_spec(const dense_matrix<base_type> &A, \
710  const dense_matrix<base_type> &B, \
711  dense_matrix<base_type> &C, c_mult) { \
712  GMMLAPACK_TRACE("gemm_interface_nn"); \
713  const char t = 'N'; \
714  BLAS_INT m(BLAS_INT(mat_nrows(A))), lda = m; \
715  BLAS_INT k(BLAS_INT(mat_ncols(A))); \
716  BLAS_INT n(BLAS_INT(mat_ncols(B))); \
717  BLAS_INT ldb = k, ldc = m; \
718  base_type alpha(1), beta(0); \
719  if (m && k && n) \
720  blas_name(&t, &t, &m, &n, &k, &alpha, \
721  &A(0,0), &lda, &B(0,0), &ldb, &beta, &C(0,0), &ldc); \
722  else gmm::clear(C); \
723  }
724 
725  gemm_interface_nn(sgemm_, BLAS_S)
726  gemm_interface_nn(dgemm_, BLAS_D)
727  gemm_interface_nn(cgemm_, BLAS_C)
728  gemm_interface_nn(zgemm_, BLAS_Z)
729 
730  /* ********************************************************************* */
731  /* transposed(dense matrix) x dense matrix multiplication. */
732  /* ********************************************************************* */
733 
734 # define gemm_interface_tn(blas_name, base_type, is_const) \
735  inline void mult_spec( \
736  const transposed_col_ref<is_const<base_type> *> &A_, \
737  const dense_matrix<base_type> &B, \
738  dense_matrix<base_type> &C, rcmult) { \
739  GMMLAPACK_TRACE("gemm_interface_tn"); \
740  const dense_matrix<base_type> &A = *(linalg_origin(A_)); \
741  const char t = 'T', u = 'N'; \
742  BLAS_INT m(BLAS_INT(mat_ncols(A))), k(BLAS_INT(mat_nrows(A))); \
743  BLAS_INT n(BLAS_INT(mat_ncols(B))); \
744  BLAS_INT lda = k, ldb = k, ldc = m; \
745  base_type alpha(1), beta(0); \
746  if (m && k && n) \
747  blas_name(&t, &u, &m, &n, &k, &alpha, \
748  &A(0,0), &lda, &B(0,0), &ldb, &beta, &C(0,0), &ldc); \
749  else gmm::clear(C); \
750  }
751 
752  gemm_interface_tn(sgemm_, BLAS_S, dense_matrix)
753  gemm_interface_tn(dgemm_, BLAS_D, dense_matrix)
754  gemm_interface_tn(cgemm_, BLAS_C, dense_matrix)
755  gemm_interface_tn(zgemm_, BLAS_Z, dense_matrix)
756  gemm_interface_tn(sgemm_, BLAS_S, const dense_matrix)
757  gemm_interface_tn(dgemm_, BLAS_D, const dense_matrix)
758  gemm_interface_tn(cgemm_, BLAS_C, const dense_matrix)
759  gemm_interface_tn(zgemm_, BLAS_Z, const dense_matrix)
760 
761  /* ********************************************************************* */
762  /* dense matrix x transposed(dense matrix) multiplication. */
763  /* ********************************************************************* */
764 
765 # define gemm_interface_nt(blas_name, base_type, is_const) \
766  inline void mult_spec(const dense_matrix<base_type> &A, \
767  const transposed_col_ref<is_const<base_type> *> &B_, \
768  dense_matrix<base_type> &C, r_mult) { \
769  GMMLAPACK_TRACE("gemm_interface_nt"); \
770  const dense_matrix<base_type> &B = *(linalg_origin(B_)); \
771  const char t = 'N', u = 'T'; \
772  BLAS_INT m(BLAS_INT(mat_nrows(A))), lda = m; \
773  BLAS_INT k(BLAS_INT(mat_ncols(A))); \
774  BLAS_INT n(BLAS_INT(mat_nrows(B))); \
775  BLAS_INT ldb = n, ldc = m; \
776  base_type alpha(1), beta(0); \
777  if (m && k && n) \
778  blas_name(&t, &u, &m, &n, &k, &alpha, \
779  &A(0,0), &lda, &B(0,0), &ldb, &beta, &C(0,0), &ldc); \
780  else gmm::clear(C); \
781  }
782 
783  gemm_interface_nt(sgemm_, BLAS_S, dense_matrix)
784  gemm_interface_nt(dgemm_, BLAS_D, dense_matrix)
785  gemm_interface_nt(cgemm_, BLAS_C, dense_matrix)
786  gemm_interface_nt(zgemm_, BLAS_Z, dense_matrix)
787  gemm_interface_nt(sgemm_, BLAS_S, const dense_matrix)
788  gemm_interface_nt(dgemm_, BLAS_D, const dense_matrix)
789  gemm_interface_nt(cgemm_, BLAS_C, const dense_matrix)
790  gemm_interface_nt(zgemm_, BLAS_Z, const dense_matrix)
791 
792  /* ********************************************************************* */
793  /* transposed(dense matrix) x transposed(dense matrix) multiplication. */
794  /* ********************************************************************* */
795 
796 # define gemm_interface_tt(blas_name, base_type, isA_const, isB_const) \
797  inline void mult_spec( \
798  const transposed_col_ref<isA_const <base_type> *> &A_, \
799  const transposed_col_ref<isB_const <base_type> *> &B_, \
800  dense_matrix<base_type> &C, r_mult) { \
801  GMMLAPACK_TRACE("gemm_interface_tt"); \
802  const dense_matrix<base_type> &A = *(linalg_origin(A_)); \
803  const dense_matrix<base_type> &B = *(linalg_origin(B_)); \
804  const char t = 'T', u = 'T'; \
805  BLAS_INT m(BLAS_INT(mat_ncols(A))), k(BLAS_INT(mat_nrows(A))); \
806  BLAS_INT n(BLAS_INT(mat_nrows(B))); \
807  BLAS_INT lda = k, ldb = n, ldc = m; \
808  base_type alpha(1), beta(0); \
809  if (m && k && n) \
810  blas_name(&t, &u, &m, &n, &k, &alpha, \
811  &A(0,0), &lda, &B(0,0), &ldb, &beta, &C(0,0), &ldc); \
812  else gmm::clear(C); \
813  }
814 
815  gemm_interface_tt(sgemm_, BLAS_S, dense_matrix, dense_matrix)
816  gemm_interface_tt(dgemm_, BLAS_D, dense_matrix, dense_matrix)
817  gemm_interface_tt(cgemm_, BLAS_C, dense_matrix, dense_matrix)
818  gemm_interface_tt(zgemm_, BLAS_Z, dense_matrix, dense_matrix)
819  gemm_interface_tt(sgemm_, BLAS_S, const dense_matrix, dense_matrix)
820  gemm_interface_tt(dgemm_, BLAS_D, const dense_matrix, dense_matrix)
821  gemm_interface_tt(cgemm_, BLAS_C, const dense_matrix, dense_matrix)
822  gemm_interface_tt(zgemm_, BLAS_Z, const dense_matrix, dense_matrix)
823  gemm_interface_tt(sgemm_, BLAS_S, dense_matrix, const dense_matrix)
824  gemm_interface_tt(dgemm_, BLAS_D, dense_matrix, const dense_matrix)
825  gemm_interface_tt(cgemm_, BLAS_C, dense_matrix, const dense_matrix)
826  gemm_interface_tt(zgemm_, BLAS_Z, dense_matrix, const dense_matrix)
827  gemm_interface_tt(sgemm_, BLAS_S, const dense_matrix, const dense_matrix)
828  gemm_interface_tt(dgemm_, BLAS_D, const dense_matrix, const dense_matrix)
829  gemm_interface_tt(cgemm_, BLAS_C, const dense_matrix, const dense_matrix)
830  gemm_interface_tt(zgemm_, BLAS_Z, const dense_matrix, const dense_matrix)
831 
832 
833  /* ********************************************************************* */
834  /* conjugated(dense matrix) x dense matrix multiplication. */
835  /* ********************************************************************* */
836 
837 # define gemm_interface_cn(blas_name, base_type) \
838  inline void mult_spec( \
839  const conjugated_col_matrix_const_ref<dense_matrix<base_type> > &A_, \
840  const dense_matrix<base_type> &B, \
841  dense_matrix<base_type> &C, rcmult) { \
842  GMMLAPACK_TRACE("gemm_interface_cn"); \
843  const dense_matrix<base_type> &A = *(linalg_origin(A_)); \
844  const char t = 'C', u = 'N'; \
845  BLAS_INT m(BLAS_INT(mat_ncols(A))), k(BLAS_INT(mat_nrows(A))); \
846  BLAS_INT n(BLAS_INT(mat_ncols(B))); \
847  BLAS_INT lda = k, ldb = k, ldc = m; \
848  base_type alpha(1), beta(0); \
849  if (m && k && n) \
850  blas_name(&t, &u, &m, &n, &k, &alpha, \
851  &A(0,0), &lda, &B(0,0), &ldb, &beta, &C(0,0), &ldc); \
852  else gmm::clear(C); \
853  }
854 
855  gemm_interface_cn(sgemm_, BLAS_S)
856  gemm_interface_cn(dgemm_, BLAS_D)
857  gemm_interface_cn(cgemm_, BLAS_C)
858  gemm_interface_cn(zgemm_, BLAS_Z)
859 
860  /* ********************************************************************* */
861  /* dense matrix x conjugated(dense matrix) multiplication. */
862  /* ********************************************************************* */
863 
864 # define gemm_interface_nc(blas_name, base_type) \
865  inline void mult_spec(const dense_matrix<base_type> &A, \
866  const conjugated_col_matrix_const_ref<dense_matrix<base_type> > &B_, \
867  dense_matrix<base_type> &C, c_mult, row_major) { \
868  GMMLAPACK_TRACE("gemm_interface_nc"); \
869  const dense_matrix<base_type> &B = *(linalg_origin(B_)); \
870  const char t = 'N', u = 'C'; \
871  BLAS_INT m(BLAS_INT(mat_nrows(A))), lda = m; \
872  BLAS_INT k(BLAS_INT(mat_ncols(A))); \
873  BLAS_INT n(BLAS_INT(mat_nrows(B))), ldb = n, ldc = m; \
874  base_type alpha(1), beta(0); \
875  if (m && k && n) \
876  blas_name(&t, &u, &m, &n, &k, &alpha, \
877  &A(0,0), &lda, &B(0,0), &ldb, &beta, &C(0,0), &ldc); \
878  else gmm::clear(C); \
879  }
880 
881  gemm_interface_nc(sgemm_, BLAS_S)
882  gemm_interface_nc(dgemm_, BLAS_D)
883  gemm_interface_nc(cgemm_, BLAS_C)
884  gemm_interface_nc(zgemm_, BLAS_Z)
885 
886  /* ********************************************************************* */
887  /* conjugated(dense matrix) x conjugated(dense matrix) multiplication. */
888  /* ********************************************************************* */
889 
890 # define gemm_interface_cc(blas_name, base_type) \
891  inline void mult_spec( \
892  const conjugated_col_matrix_const_ref<dense_matrix<base_type> > &A_, \
893  const conjugated_col_matrix_const_ref<dense_matrix<base_type> > &B_, \
894  dense_matrix<base_type> &C, r_mult) { \
895  GMMLAPACK_TRACE("gemm_interface_cc"); \
896  const dense_matrix<base_type> &A = *(linalg_origin(A_)); \
897  const dense_matrix<base_type> &B = *(linalg_origin(B_)); \
898  const char t = 'C', u = 'C'; \
899  BLAS_INT m(BLAS_INT(mat_ncols(A))), k(BLAS_INT(mat_nrows(A))); \
900  BLAS_INT lda = k, n(BLAS_INT(mat_nrows(B))), ldb = n, ldc = m; \
901  base_type alpha(1), beta(0); \
902  if (m && k && n) \
903  blas_name(&t, &u, &m, &n, &k, &alpha, \
904  &A(0,0), &lda, &B(0,0), &ldb, &beta, &C(0,0), &ldc); \
905  else gmm::clear(C); \
906  }
907 
908  gemm_interface_cc(sgemm_, BLAS_S)
909  gemm_interface_cc(dgemm_, BLAS_D)
910  gemm_interface_cc(cgemm_, BLAS_C)
911  gemm_interface_cc(zgemm_, BLAS_Z)
912 
913  /* ********************************************************************* */
914  /* Tri solve. */
915  /* ********************************************************************* */
916 
917 # define trsv_interface(f_name, loru, param1, trans1, blas_name, base_type)\
918  inline void f_name(param1(base_type), std::vector<base_type> &x, \
919  size_type k, bool is_unit) { \
920  GMMLAPACK_TRACE("trsv_interface"); \
921  loru; trans1(base_type); char d = is_unit ? 'U' : 'N'; \
922  BLAS_INT lda(BLAS_INT(mat_nrows(A))), inc(1), n = BLAS_INT(k); \
923  if (lda) blas_name(&l, &t, &d, &n, &A(0,0), &lda, &x[0], &inc); \
924  }
925 
926 # define trsv_upper const char l = 'U'
927 # define trsv_lower const char l = 'L'
928 
929  // X <- LOWER(A)^{-1}X.
930  trsv_interface(lower_tri_solve, trsv_lower, gem_p1_n, gem_trans1_n,
931  strsv_, BLAS_S)
932  trsv_interface(lower_tri_solve, trsv_lower, gem_p1_n, gem_trans1_n,
933  dtrsv_, BLAS_D)
934  trsv_interface(lower_tri_solve, trsv_lower, gem_p1_n, gem_trans1_n,
935  ctrsv_, BLAS_C)
936  trsv_interface(lower_tri_solve, trsv_lower, gem_p1_n, gem_trans1_n,
937  ztrsv_, BLAS_Z)
938 
939  // X <- UPPER(A)^{-1}X.
940  trsv_interface(upper_tri_solve, trsv_upper, gem_p1_n, gem_trans1_n,
941  strsv_, BLAS_S)
942  trsv_interface(upper_tri_solve, trsv_upper, gem_p1_n, gem_trans1_n,
943  dtrsv_, BLAS_D)
944  trsv_interface(upper_tri_solve, trsv_upper, gem_p1_n, gem_trans1_n,
945  ctrsv_, BLAS_C)
946  trsv_interface(upper_tri_solve, trsv_upper, gem_p1_n, gem_trans1_n,
947  ztrsv_, BLAS_Z)
948 
949  // X <- LOWER(transposed(A))^{-1}X.
950  trsv_interface(lower_tri_solve, trsv_upper, gem_p1_t, gem_trans1_t,
951  strsv_, BLAS_S)
952  trsv_interface(lower_tri_solve, trsv_upper, gem_p1_t, gem_trans1_t,
953  dtrsv_, BLAS_D)
954  trsv_interface(lower_tri_solve, trsv_upper, gem_p1_t, gem_trans1_t,
955  ctrsv_, BLAS_C)
956  trsv_interface(lower_tri_solve, trsv_upper, gem_p1_t, gem_trans1_t,
957  ztrsv_, BLAS_Z)
958 
959  // X <- UPPER(transposed(A))^{-1}X.
960  trsv_interface(upper_tri_solve, trsv_lower, gem_p1_t, gem_trans1_t,
961  strsv_, BLAS_S)
962  trsv_interface(upper_tri_solve, trsv_lower, gem_p1_t, gem_trans1_t,
963  dtrsv_, BLAS_D)
964  trsv_interface(upper_tri_solve, trsv_lower, gem_p1_t, gem_trans1_t,
965  ctrsv_, BLAS_C)
966  trsv_interface(upper_tri_solve, trsv_lower, gem_p1_t, gem_trans1_t,
967  ztrsv_, BLAS_Z)
968 
969  // X <- LOWER(transposed(const A))^{-1}X.
970  trsv_interface(lower_tri_solve, trsv_upper, gem_p1_tc, gem_trans1_t,
971  strsv_, BLAS_S)
972  trsv_interface(lower_tri_solve, trsv_upper, gem_p1_tc, gem_trans1_t,
973  dtrsv_, BLAS_D)
974  trsv_interface(lower_tri_solve, trsv_upper, gem_p1_tc, gem_trans1_t,
975  ctrsv_, BLAS_C)
976  trsv_interface(lower_tri_solve, trsv_upper, gem_p1_tc, gem_trans1_t,
977  ztrsv_, BLAS_Z)
978 
979  // X <- UPPER(transposed(const A))^{-1}X.
980  trsv_interface(upper_tri_solve, trsv_lower, gem_p1_tc, gem_trans1_t,
981  strsv_, BLAS_S)
982  trsv_interface(upper_tri_solve, trsv_lower, gem_p1_tc, gem_trans1_t,
983  dtrsv_, BLAS_D)
984  trsv_interface(upper_tri_solve, trsv_lower, gem_p1_tc, gem_trans1_t,
985  ctrsv_, BLAS_C)
986  trsv_interface(upper_tri_solve, trsv_lower, gem_p1_tc, gem_trans1_t,
987  ztrsv_, BLAS_Z)
988 
989  // X <- LOWER(conjugated(A))^{-1}X.
990  trsv_interface(lower_tri_solve, trsv_upper, gem_p1_c, gem_trans1_c,
991  strsv_, BLAS_S)
992  trsv_interface(lower_tri_solve, trsv_upper, gem_p1_c, gem_trans1_c,
993  dtrsv_, BLAS_D)
994  trsv_interface(lower_tri_solve, trsv_upper, gem_p1_c, gem_trans1_c,
995  ctrsv_, BLAS_C)
996  trsv_interface(lower_tri_solve, trsv_upper, gem_p1_c, gem_trans1_c,
997  ztrsv_, BLAS_Z)
998 
999  // X <- UPPER(conjugated(A))^{-1}X.
1000  trsv_interface(upper_tri_solve, trsv_lower, gem_p1_c, gem_trans1_c,
1001  strsv_, BLAS_S)
1002  trsv_interface(upper_tri_solve, trsv_lower, gem_p1_c, gem_trans1_c,
1003  dtrsv_, BLAS_D)
1004  trsv_interface(upper_tri_solve, trsv_lower, gem_p1_c, gem_trans1_c,
1005  ctrsv_, BLAS_C)
1006  trsv_interface(upper_tri_solve, trsv_lower, gem_p1_c, gem_trans1_c,
1007  ztrsv_, BLAS_Z)
1008 
1009 }
1010 
1011 #endif // GMM_BLAS_INTERFACE_H
1012 
1013 #endif // GMM_USES_BLAS
gmm_blas.h
Basic linear algebra functions.
gmm_interface.h
gmm interface for STL vectors.
gmm_matrix.h
Declaration of some matrix types (gmm::dense_matrix, gmm::row_matrix, gmm::col_matrix,...
bgeot::size_type
size_t size_type
used as the common size type in the library
Definition: bgeot_poly.h:49