File: mdarray.hpp

package info (click to toggle)
libxsmm 1.17-4
  • links: PTS, VCS
  • area: main
  • in suites: sid, trixie
  • size: 14,976 kB
  • sloc: ansic: 119,587; cpp: 27,680; fortran: 9,179; sh: 5,765; makefile: 5,040; pascal: 2,312; python: 1,812; f90: 1,773
file content (1125 lines) | stat: -rw-r--r-- 33,564 bytes parent folder | download | duplicates (2)
1
2
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
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
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
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
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
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
/** \file mdarray.hpp
 *
 *  \brief Contains implementation of multidimensional array class.
 */

#ifndef __MDARRAY_HPP__
#define __MDARRAY_HPP__

#include <array>
#include <atomic>
#include <cassert>
#include <string>
#include <functional>
#include <initializer_list>
#include <memory>
#include <algorithm>
#include <cstring>
#include <signal.h>
#include <string>
#include <type_traits>
#include <vector>

#ifdef HAVE_CUDA
#include "GPU/cuda.hpp"
#endif

#if defined(HAVE_MKL) || defined(__MKL)
# include <mkl.h>
#elif defined(__CBLAS)
# include <cblas.h>
#else
# define CblasRowMajor 101
# define CblasColMajor 102
extern "C" void cblas_dger(int, int, int, double, const double*, int, const double*, int, double*, int);
#endif

#if !defined(CBLAS_LAYOUT)
# define CBLAS_LAYOUT int
#endif

#ifdef NDEBUG
#define mdarray_assert(condition__)
#else
#define mdarray_assert(condition__)                                 \
    {                                                               \
        if (!(condition__)) {                                       \
            printf("Assertion (%s) failed ", #condition__);         \
            printf("at line %i of file %s\n", __LINE__, __FILE__);  \
            printf("array label: %s\n", label_.c_str());            \
            int mdarray_assert_i_ = 0;                              \
            for (; mdarray_assert_i_ < N; mdarray_assert_i_++)      \
                printf("dim[%i].size = %llu\n", mdarray_assert_i_,  \
                    static_cast<unsigned long long>(                \
                    dims_[mdarray_assert_i_].size()));              \
            raise(SIGTERM);                                         \
            exit(-13);                                              \
        }                                                           \
    }
#endif

/// Type of the main processing unit.
enum device_t
{
    /// CPU device.
    CPU = 0,

    /// GPU device (with CUDA programming model).
    GPU = 1
};

/// Type of memory.
/** Various combinations of flags can be used. To check for any host memory
   (pinned or non-pinned): \code{.cpp} mem_type & memory_t::host ==
   memory_t::host \endcode To check for pinned memory: \code{.cpp} mem_type &
   memory_t::host_pinned == memory_t::host_pinned \endcode To check for device
   memory: \code{.cpp} mem_type & memory_t::device == memory_t::device \endcode
*/
enum class memory_t : unsigned int
{
    /// Nothing.
    none = 0b000,
    /// Host memory.
    host = 0b001,
    /// Pinned host memory. This is host memory + extra bit flag.
    host_pinned = 0b011,
    /// Device memory.
    device = 0b100
};

inline constexpr memory_t operator&(memory_t a__, memory_t b__)
{
    return static_cast<memory_t>(static_cast<unsigned int>(a__) &
                                 static_cast<unsigned int>(b__));
}

inline constexpr memory_t operator|(memory_t a__, memory_t b__)
{
    return static_cast<memory_t>(static_cast<unsigned int>(a__) |
                                 static_cast<unsigned int>(b__));
}

inline constexpr bool on_device(memory_t mem_type__)
{
    return (mem_type__ & memory_t::device) == memory_t::device ? true : false;
}

/// Index descriptor of mdarray.
class mdarray_index_descriptor
{
  private:
    /// Beginning of index.
    int64_t begin_{0};

    /// End of index.
    int64_t end_{-1};

    /// Size of index.
    size_t size_{0};

  public:
    /// Constructor of empty descriptor.
    mdarray_index_descriptor()
    {
    }

    /// Constructor for index range [0, size).
    mdarray_index_descriptor(size_t const size__)
        : begin_(0)
        , end_(size__ - 1)
        , size_(size__)
    {
    }

    /// Constructor for index range [begin, end]
    mdarray_index_descriptor(int64_t const begin__, int64_t const end__)
        : begin_(begin__)
        , end_(end__)
        , size_(end_ - begin_ + 1)
    {
        assert(end_ >= begin_);
    };

    /// Constructor for index range [begin, end]
    mdarray_index_descriptor(std::pair<int, int> const range__)
        : begin_(range__.first)
        , end_(range__.second)
        , size_(end_ - begin_ + 1)
    {
        assert(end_ >= begin_);
    };

    /// Return first index value.
    inline int64_t begin() const
    {
        return begin_;
    }

    /// Return last index value.
    inline int64_t end() const
    {
        return end_;
    }

    /// Return index size.
    inline size_t size() const
    {
        return size_;
    }
};


/// Base class of multidimensional array.
template <typename T, int N, CBLAS_LAYOUT format = CblasColMajor>
class mdarray_base
{
  protected:
    /// Optional array label.
    std::string label_;

    /// Unique pointer to the allocated memory.
    ///  std::unique_ptr<T[], mdarray_mem_mgr<T>> unique_ptr_{nullptr};

    /// Raw pointer.
    T* raw_ptr_{nullptr};

    // layout Fortran by default
    CBLAS_LAYOUT layout_{CblasColMajor};

    // the table is allocated outside the class
    bool allocated_outside_cpu_{true};

    // the table is allocated outside the class
    bool allocated_outside_gpu_{true};

#ifdef __GPU
    /// Unique pointer to the allocated GPU memory.
    /// std::unique_ptr<T[], mdarray_mem_mgr<T>> unique_ptr_device_{nullptr};

    /// Raw pointer to GPU memory
    T* raw_ptr_device_{nullptr};
#endif

    /// Array dimensions.
    std::array<mdarray_index_descriptor, N> dims_;

    /// List of offsets to compute the element location by dimension indices.
    std::array<int64_t, N> offsets_;

    /// leading dimension on CPU and GPUs (can be different because of alignment constraint)
    size_t ld_cpu_{0};
    size_t ld_gpu_{0};

    size_t raw_data_size_{0};

    void init_dimensions(std::array<mdarray_index_descriptor, N> const dims__)
    {
        dims_ = dims__;

        offsets_[0] = -dims_[0].begin();
        size_t ld{1};
        for (int i = 1; i < N; i++) {
            ld *= dims_[i - 1].size();
            offsets_[i] = ld;
            offsets_[0] -= ld * dims_[i].begin();
        }
        ld_cpu_ = dims_[0].size();

#ifdef HAVE_CUDA
        ni = dims_[0].size() / WARP_SIZE;
        lda_gpu_ = 32 * ( (dims_[0].size() % WARP_SIZE) != 0 + ni);
#endif
    }

  private:
    inline int64_t idx(std::array<int64_t, N> idx__) const
    {
#ifdef NDEBUG
        for (int d = 0; d < N; d++) {
            mdarray_assert(idx__[d] >= dims_[d].begin() && i0 <= dims_[d].end());
        }
#endif
        size_t i = offsets_[0] + idx__[0];
        for (int d = 0; d < idx__.size(); d++)
            i += idx__[d] * offsets_[d];
        mdarray_assert(/*i >= 0 &&*/ i < size());
        return i;
    }

    inline int64_t idx(int64_t const i0) const
    {
        static_assert(N == 1, "wrong number of dimensions");
        mdarray_assert(i0 >= dims_[0].begin() && i0 <= dims_[0].end());
        size_t i = offsets_[0] + i0;
        mdarray_assert(/*i >= 0 &&*/ i < size());
        return i;
    }

    inline int64_t idx(int64_t const i0, int64_t const i1) const
    {
        static_assert(N == 2, "wrong number of dimensions");
        mdarray_assert(i0 >= dims_[0].begin() && i0 <= dims_[0].end());
        mdarray_assert(i1 >= dims_[1].begin() && i1 <= dims_[1].end());
        size_t i = offsets_[0] + i0 + i1 * offsets_[1];
        mdarray_assert(/*i >= 0 &&*/ i < size());
        return i;
    }

    inline int64_t idx(int64_t const i0, int64_t const i1,
                       int64_t const i2) const
    {
        static_assert(N == 3, "wrong number of dimensions");
        mdarray_assert(i0 >= dims_[0].begin() && i0 <= dims_[0].end());
        mdarray_assert(i1 >= dims_[1].begin() && i1 <= dims_[1].end());
        mdarray_assert(i2 >= dims_[2].begin() && i2 <= dims_[2].end());
        size_t i = offsets_[0] + i0 + i1 * offsets_[1] + i2 * offsets_[2];
        mdarray_assert(/*i >= 0 &&*/ i < size());
        return i;
    }

    inline int64_t idx(int64_t const i0, int64_t const i1, int64_t const i2,
                       int64_t const i3) const
    {
        static_assert(N == 4, "wrong number of dimensions");
        mdarray_assert(i0 >= dims_[0].begin() && i0 <= dims_[0].end());
        mdarray_assert(i1 >= dims_[1].begin() && i1 <= dims_[1].end());
        mdarray_assert(i2 >= dims_[2].begin() && i2 <= dims_[2].end());
        mdarray_assert(i3 >= dims_[3].begin() && i3 <= dims_[3].end());
        size_t i = offsets_[0] + i0 + i1 * offsets_[1] + i2 * offsets_[2] +
                   i3 * offsets_[3];
        mdarray_assert(/*i >= 0 &&*/ i < size());
        return i;
    }

    inline int64_t idx(int64_t const i0, int64_t const i1, int64_t const i2,
                       int64_t const i3, int64_t const i4) const
    {
        static_assert(N == 5, "wrong number of dimensions");
        mdarray_assert(i0 >= dims_[0].begin() && i0 <= dims_[0].end());
        mdarray_assert(i1 >= dims_[1].begin() && i1 <= dims_[1].end());
        mdarray_assert(i2 >= dims_[2].begin() && i2 <= dims_[2].end());
        mdarray_assert(i3 >= dims_[3].begin() && i3 <= dims_[3].end());
        mdarray_assert(i4 >= dims_[4].begin() && i4 <= dims_[4].end());
        size_t i = offsets_[0] + i0 + i1 * offsets_[1] + i2 * offsets_[2] +
                   i3 * offsets_[3] + i4 * offsets_[4];
        mdarray_assert(/*i >= 0 &&*/ i < size());
        return i;
    }

    template <device_t pu>
    inline T* at_idx(int64_t const idx__)
    {
        switch (pu) {
            case CPU: {
                mdarray_assert(raw_ptr_ != nullptr);
                return &raw_ptr_[idx__];
            }
            case GPU: {
#ifdef HAVE_CUDA
                mdarray_assert(raw_ptr_device_ != nullptr);
                return &raw_ptr_device_[idx__];
#else
                printf("error at line %i of file %s: not compiled with GPU support\n",
                       __LINE__, __FILE__);
                exit(0);
#endif
            }
        }
        return nullptr;
    }

    template <device_t pu>
    inline T const* at_idx(int64_t const idx__) const
    {
        switch (pu) {
            case CPU: {
                mdarray_assert(raw_ptr_ != nullptr);
                return &raw_ptr_[idx__];
            }
            case GPU: {
#ifdef HAVE_CUDA
                mdarray_assert(raw_ptr_device_ != nullptr);
                return &raw_ptr_device_[idx__];
#else
                printf("error at line %i of file %s: not compiled with GPU support\n",
                       __LINE__, __FILE__);
                exit(0);
#endif
            }
        }
        return nullptr;
    }

    /// Copy constructor is forbidden
    mdarray_base(mdarray_base<T, N, format> const& src) = delete;

    /// Assignment operator is forbidden
    mdarray_base<T, N, format>&
    operator=(mdarray_base<T, N, format> const& src) = delete;

  public:
    /// Constructor of an empty array.
    mdarray_base()
    {
    }

    /// Destructor.
    ~mdarray_base()
    {
    }

    /// Move constructor
    mdarray_base(mdarray_base<T, N, format>&& src)
        : label_(src.label_)
        , //unique_ptr_(std::move(src.unique_ptr_)),
        raw_ptr_(src.raw_ptr_)
        , allocated_outside_cpu_(src.allocated_outside_cpu_)
#ifdef __GPU
        , allocated_outside_gpu_(src.allocated_outside_gpu_)
        ,
        //unique_ptr_device_(std::move(src.unique_ptr_device_)),
        raw_ptr_device_(src.raw_ptr_device_)
        , layout_(src.Layout_)
#endif
    {
        for (int i = 0; i < N; i++) {
            dims_[i]    = src.dims_[i];
            offsets_[i] = src.offsets_[i];
        }
        src.raw_ptr_ = nullptr;
#ifdef __GPU
        src.raw_ptr_device_ = nullptr;
#endif
    }

    /// Move assigment operator
    inline mdarray_base<T, N, format>&
    operator=(mdarray_base<T, N, format>&& src)
    {
        if (this != &src) {
            label_                 = src.label_;
            layout_                = src.layout_;
            raw_ptr_               = src.raw_ptr_;
            raw_data_size_         = src.raw_data_size_;
            allocated_outside_cpu_ = src.allocated_outside_cpu_;
            src.raw_ptr_           = nullptr;
#ifdef __GPU
            raw_ptr_device_        = src.raw_ptr_device_;
            src.raw_ptr_device_    = nullptr;
            allocated_outside_gpu_ = src.allocated_outside_gpu_;
#endif
            for (int i = 0; i < N; i++) {
                dims_[i]    = src.dims_[i];
                offsets_[i] = src.offsets_[i];
            }
        }
        return *this;
    }

    /// Allocate memory for array.
    void allocate(memory_t memory__)
    {
        if ((memory__ & memory_t::host) == memory_t::host) {
#if defined(_WIN32)
            raw_ptr_ = static_cast<T*>(_aligned_malloc(sizeof(T) * size<CPU>(), 256));
            if (raw_ptr_ == nullptr)
#else
            if (posix_memalign(reinterpret_cast<void**>(&raw_ptr_), 256, sizeof(T) * size<CPU>()) != 0)
#endif
            {
                printf("Allocation failed\n");
                std::abort();
            }

            allocated_outside_cpu_ = false;
        }

#ifdef __GPU
        if ((memory__ & memory_t::device) == memory_t::device) {
            cudaMalloc(&raw_prt_device_, sizeof(T) * size<GPU>());
            allocated_outside_gpu_ = false;
        }
#endif
    }

    void deallocate(memory_t memory__)
    {
        if ((memory__ & memory_t::host) == memory_t::host) {
            if ((raw_ptr_ != nullptr) && (!allocated_outside_cpu_)) {
#if defined(_WIN32)
                _aligned_free(raw_ptr_);
#else
                free(raw_ptr_);
#endif
                raw_ptr_ = nullptr;
            }
        }

#ifdef __GPU
        if ((memory__ & memory_t::device) == memory_t::device) {
            if ((raw_ptr_ != nullptr) && (!allocated_outside_gpu_)) {
                free(raw_ptr_device_);
                raw_ptr_device_ = nullptr;
            }
        }
#endif
    }

    void clear()
    {
        deallocate(memory_t::host);
#ifdef HAVE_CUDA
        deallocate(memory_t::device);
#endif
    }

    inline T& operator()(int64_t const i0)
    {
        mdarray_assert(raw_ptr_ != nullptr);
        return raw_ptr_[idx(i0)];
    }

    inline T const& operator()(int64_t const i0) const
    {
        mdarray_assert(raw_ptr_ != nullptr);
        return raw_ptr_[idx(i0)];
    }

    inline T& operator()(int64_t const i0, int64_t const i1)
    {
        mdarray_assert(raw_ptr_ != nullptr);
        if (layout_ == CblasColMajor)
            return raw_ptr_[idx(i0, i1)];
        else
            return raw_ptr_[idx(i1, i0)];
    }

    inline T const& operator()(int64_t const i0, int64_t const i1) const
    {
        mdarray_assert(raw_ptr_ != nullptr);
        if (layout_ == CblasColMajor)
            return raw_ptr_[idx(i0, i1)];
        else
            return raw_ptr_[idx(i1, i0)];
    }

    inline T& operator()(int64_t const i0, int64_t const i1, int64_t const i2)
    {
        mdarray_assert(raw_ptr_ != nullptr);
        if (layout_ == CblasColMajor)
            return raw_ptr_[idx(i0, i1, i2)];
        else
            return raw_ptr_[idx(i2, i1, i0)];
    }

    inline T const& operator()(int64_t const i0, int64_t const i1,
                               int64_t const i2) const
    {
        mdarray_assert(raw_ptr_ != nullptr);
        if (layout_ == CblasColMajor)
            return raw_ptr_[idx(i0, i1, i2)];
        else
            return raw_ptr_[idx(i2, i1, i0)];
    }

    inline T& operator()(int64_t const i0, int64_t const i1, int64_t const i2,
                         int64_t const i3)
    {
        mdarray_assert(raw_ptr_ != nullptr);
        if (layout_ == CblasColMajor)
            return raw_ptr_[idx(i0, i1, i2, i3)];
        else
            return raw_ptr_[idx(i3, i2, i1, i0)];
    }

    inline T const& operator()(int64_t const i0, int64_t const i1,
                               int64_t const i2, int64_t const i3) const
    {
        mdarray_assert(raw_ptr_ != nullptr);
        if (layout_ == CblasColMajor)
            return raw_ptr_[idx(i0, i1, i2, i3)];
        else
            return raw_ptr_[idx(i3, i2, i1, i0)];
    }

    inline T& operator()(int64_t const i0, int64_t const i1, int64_t const i2,
                         int64_t const i3, int64_t const i4)
    {
        mdarray_assert(raw_ptr_ != nullptr);
        if (layout_ == CblasColMajor)
            return raw_ptr_[idx(i0, i1, i2, i3, i4)];
        else
            return raw_ptr_[idx(i4, i3, i2, i1, i0)];
    }

    inline T const& operator()(int64_t const i0, int64_t const i1,
                               int64_t const i2, int64_t const i3,
                               int64_t const i4) const
    {
        mdarray_assert(raw_ptr_ != nullptr);
        if (layout_ == CblasColMajor)
            return raw_ptr_[idx(i0, i1, i2, i3, i4)];
        else
            return raw_ptr_[idx(i4, i3, i2, i1, i0)];
    }

    inline T& operator()(std::array<int64_t, N> idx__)
    {
        mdarray_assert(raw_ptr_ != nullptr);
        return raw_ptr_[idx(idx__)];
    }

    inline T& operator[](size_t const idx__)
    {
        mdarray_assert(/*idx__ >= 0 &&*/ idx__ < size());
        return raw_ptr_[idx__];
    }

    inline T const& operator[](size_t const idx__) const
    {
        assert(/*idx__ >= 0 &&*/ idx__ < size());
        return raw_ptr_[idx__];
    }

    template <device_t pu>
    inline T* at()
    {
        return at_idx<pu>(0);
    }

    template <device_t pu>
    inline T const* at() const
    {
        return at_idx<pu>(0);
    }

    template <device_t pu>
    inline T* at(int64_t const i0)
    {
        return at_idx<pu>(idx(i0));
    }

    template <device_t pu>
    inline T const* at(int64_t const i0) const
    {
        return at_idx<pu>(idx(i0));
    }

    template <device_t pu>
    inline T* at(int64_t const i0, int64_t const i1)
    {
        if (layout_ == CblasColMajor)
            return at_idx<pu>(idx(i0, i1));
        else
            return at_idx<pu>(idx(i1, i0));
    }

    template <device_t pu>
    inline T const* at(int64_t const i0, int64_t const i1) const
    {
        if (layout_ == CblasColMajor)
            return at_idx<pu>(idx(i0, i1));
        else
            return at_idx<pu>(idx(i1, i0));
    }

    template <device_t pu>
    inline T* at(int64_t const i0, int64_t const i1, int64_t const i2)
    {
        if (layout_ == CblasColMajor)
            return at_idx<pu>(idx(i0, i1, i2));
        else
            return at_idx<pu>(idx(i2, i1, i0));
    }

    template <device_t pu>
    inline T const* at(int64_t const i0, int64_t const i1, int64_t const i2) const
        {
            if (layout_ == CblasColMajor)
                return at_idx<pu>(idx(i0, i1, i2));
            else
                return at_idx<pu>(idx(i2, i1, i0));
        }

    template <device_t pu>
    inline T* at(int64_t const i0, int64_t const i1, int64_t const i2,
                 int64_t const i3)
    {
        if (layout_ == CblasColMajor)
            return at_idx<pu>(idx(i0, i1, i2, i3));
        else
            return at_idx<pu>(idx(i3, i2, i1, i0));
    }

    template <device_t pu>
    inline T const* at(int64_t const i0, int64_t const i1, int64_t const i2,
                 int64_t const i3) const
        {
            if (layout_ == CblasColMajor)
                return at_idx<pu>(idx(i0, i1, i2, i3));
            else
                return at_idx<pu>(idx(i3, i2, i1, i0));
        }


    template <device_t pu>
    inline T* at(int64_t const i0, int64_t const i1, int64_t const i2,
                 int64_t const i3, int64_t const i4)
    {
        if (layout_ == CblasColMajor)
            return at_idx<pu>(idx(i0, i1, i2, i3, i4));
        else
            return at_idx<pu>(idx(i4, i3, i2, i1, i0));
    }

    template <device_t pu>
    inline T* at(std::array<int64_t, N> const idx__)
    {

        if (layout_ == CblasRowMajor)
            std::reverse(std::begin(idx__), std::end(idx__));
        return at_idx<pu>(idx(idx__));
    }

    template <device_t pu =  CPU>
    /// Return total size (number of elements) of the array.
    inline size_t size() const
        {

            size_t size_{1};

            for (int i = 0; i < N; i++) {
                size_ *= dims_[i].size();
            }

            return size_;
        }

    /// Return size of particular dimension.
    inline size_t size(int i) const
    {
        mdarray_assert(i < N);
        if (layout_ == CblasRowMajor)
            return dims_[N - i - 1].size();
        else
            return dims_[i].size();
    }

    /// Return leading dimension size.
    inline uint32_t ld() const
    {
        mdarray_assert(dims_[0].size() < size_t(1 << 31));

        return (int32_t)dims_[0].size();
    }

    /// Compute hash of the array
    /** Example: printf("hash(h) : %16llX\n", h.hash()); */
    inline uint64_t hash(uint64_t h__ = 5381) const
    {
        for (size_t i = 0; i < size() * sizeof(T); i++) {
            h__ = ((h__ << 5) + h__) + ((unsigned char*)raw_ptr_)[i];
        }

        return h__;
    }

    /// Copy the content of the array to dest
    void operator>>(mdarray_base<T, N>& dest__) const
    {
        for (int i = 0; i < N; i++) {
            if (dest__.dims_[i].begin() != dims_[i].begin() ||
                dest__.dims_[i].end() != dims_[i].end()) {
                printf("error at line %i of file %s: array dimensions don't match\n",
                       __LINE__, __FILE__);
                raise(SIGTERM);
                exit(-1);
            }
        }
        std::memcpy(dest__.raw_ptr_, raw_ptr_, size() * sizeof(T));
    }

    /// Copy n elements starting from idx0.
    template <memory_t from__, memory_t to__>
    inline void copy(size_t idx0__, size_t n__, int stream_id__ = -1)
    {
#ifdef HAVE_CUDA
        mdarray_assert(raw_ptr_ != nullptr);
        mdarray_assert(raw_ptr_device_ != nullptr);
        mdarray_assert(idx0__ + n__ <= size());

        if ((from__ & memory_t::host) == memory_t::host &&
            (to__ & memory_t::device) == memory_t::device) {
            if (stream_id__ == -1) {
                acc::copyin(&raw_ptr_device_[idx0__], &raw_ptr_[idx0__], n__);
            } else {
                acc::copyin(&raw_ptr_device_[idx0__], &raw_ptr_[idx0__], n__,
                            stream_id__);
            }
        }

        if ((from__ & memory_t::device) == memory_t::device &&
            (to__ & memory_t::host) == memory_t::host) {
            if (stream_id__ == -1) {
                acc::copyout(&raw_ptr_[idx0__], &raw_ptr_device_[idx0__], n__);
            } else {
                acc::copyout(&raw_ptr_[idx0__], &raw_ptr_device_[idx0__], n__,
                             stream_id__);
            }
        }
#else
        (void)idx0__; (void)n__; (void)stream_id__; /* unused */
#endif
    }

    template <memory_t from__, memory_t to__>
    inline void copy(size_t n__)
    {
        copy<from__, to__>(0, n__);
    }

    template <memory_t from__, memory_t to__>
    inline void async_copy(size_t n__, int stream_id__)
    {
        copy<from__, to__>(0, n__, stream_id__);
    }

    template <memory_t from__, memory_t to__>
    inline void copy()
    {
        copy<from__, to__>(0, size());
    }

    template <memory_t from__, memory_t to__>
    inline void async_copy(int stream_id__)
    {
        copy<from__, to__>(0, size(), stream_id__);
    }

    inline void retrieve(T *dst)
        {
            if (dst == this->at<CPU>())
                return;

            mdarray_assert(dst != nullptr);

            memcpy (dst,
                    this->at<CPU>(),
                    sizeof(T) * this->size());
        }

    inline void store(const T *src)
        {
            if (src == this->at< CPU>())
                return;
            mdarray_assert(src != nullptr);
            memcpy (this->at<CPU>(),
                    src,
                    sizeof(double) * this->size());
        }

    /// Zero n elements starting from idx0.
    template <memory_t mem_type__>
    inline void zero(size_t idx0__, size_t n__)
    {
        mdarray_assert(idx0__ + n__ <= size());
        if (((mem_type__ & memory_t::host) == memory_t::host) && n__) {
            mdarray_assert(raw_ptr_ != nullptr);
            std::memset(reinterpret_cast<void*>(&raw_ptr_[idx0__]), 0, n__ * sizeof(T));
        }
#ifdef HAVE_CUDA
        if (((mem_type__ & memory_t::device) == memory_t::device) && on_device() &&
            n__) {
            mdarray_assert(raw_ptr_device_ != nullptr);
            acc::zero(&raw_ptr_device_[idx0__], n__);
        }
#endif
    }

    template <memory_t mem_type__ = memory_t::host>
    inline void zero()
    {
        zero<mem_type__>(0, size());
    }

    inline bool on_device() const
    {
#ifdef HAVE_CUDA
        return (raw_ptr_device_ != nullptr);
#else
        return false;
#endif
    }
};

/// Multidimensional array with the column-major (Fortran) order.
template <typename T, int N, CBLAS_LAYOUT format = CblasColMajor>
class mdarray : public mdarray_base<T, N, format>
{
  public:
    mdarray()
    {
    }

    mdarray(std::array<int64_t, N> const& shape,
            memory_t memory__ = memory_t::host, std::string label__ = "")
    {
        this->label_  = label__;
        this->layout_ = format;
        this->init_dimensions(shape);
        this->allocate(memory__);
    }

    mdarray(mdarray_index_descriptor const& d0,
            memory_t memory__ = memory_t::host, std::string label__ = "")
    {
        static_assert(N == 1, "wrong number of dimensions");

        this->label_  = label__;
        this->layout_ = format;
        this->init_dimensions({d0});
        this->allocate(memory__);
    }

    mdarray(mdarray_index_descriptor const& d0,
            mdarray_index_descriptor const& d1,
            memory_t memory__ = memory_t::host, std::string label__ = "")
    {
        static_assert(N == 2, "wrong number of dimensions");

        this->label_  = label__;
        this->layout_ = format;
        if (this->layout_ == CblasColMajor)
            this->init_dimensions({{d0, d1}});
        else
            this->init_dimensions({{d1, d0}});
        this->allocate(memory__);
    }

    mdarray(mdarray_index_descriptor const& d0,
            mdarray_index_descriptor const& d1,
            mdarray_index_descriptor const& d2,
            memory_t memory__ = memory_t::host, std::string label__ = "")
    {
        static_assert(N == 3, "wrong number of dimensions");

        this->label_  = label__;
        this->layout_ = format;
        if (this->layout_ == CblasColMajor)
            this->init_dimensions({{d0, d1, d2}});
        else
            this->init_dimensions({{d2, d1, d0}});
        this->allocate(memory__);
    }

    mdarray(mdarray_index_descriptor const& d0,
            mdarray_index_descriptor const& d1,
            mdarray_index_descriptor const& d2,
            mdarray_index_descriptor const& d3,
            memory_t memory__ = memory_t::host, std::string label__ = "")
    {
        static_assert(N == 4, "wrong number of dimensions");

        this->label_  = label__;
        this->layout_ = format;
        if (this->layout_ == CblasColMajor)
            this->init_dimensions({{d0, d1, d2, d3}});
        else
            this->init_dimensions({{d3, d2, d1, d0}});
        this->allocate(memory__);
    }

    mdarray(mdarray_index_descriptor const& d0,
            mdarray_index_descriptor const& d1,
            mdarray_index_descriptor const& d2,
            mdarray_index_descriptor const& d3,
            mdarray_index_descriptor const& d4,
            memory_t memory__ = memory_t::host, std::string label__ = "")
    {
        static_assert(N == 5, "wrong number of dimensions");

        this->label_  = label__;
        this->layout_ = format;
        if (this->layout_ == CblasColMajor)
            this->init_dimensions({{d0, d1, d2, d3, d4}});
        else
            this->init_dimensions({{d4, d3, d2, d1, d0}});
        this->allocate(memory__);
    }

    mdarray(T* ptr__, std::array<int64_t, N> const& shape,
            std::string label__ = "")
    {
        this->layout_ = format;
        this->label_  = label__;
        this->init_dimensions(shape);
        this->raw_ptr_ = ptr__;
    }

    mdarray(T* ptr__, mdarray_index_descriptor const& d0,
            std::string label__ = "")
    {
        static_assert(N == 1, "wrong number of dimensions");
        this->layout_ = format;
        this->label_  = label__;
        this->init_dimensions({d0});
        this->raw_ptr_ = ptr__;
    }

    mdarray(T* ptr__, T* ptr_device__, mdarray_index_descriptor const& d0,
            std::string label__ = "")
    {
        static_assert(N == 1, "wrong number of dimensions");
        this->layout_ = format;
        this->label_  = label__;
        this->init_dimensions({d0});
        this->raw_ptr_ = ptr__;
#ifdef HAVE_CUDA
        this->raw_ptr_device_ = ptr_device__;
#else
        (void)ptr_device__; /* unused */
#endif
    }

    mdarray(T* ptr__, mdarray_index_descriptor const& d0,
            mdarray_index_descriptor const& d1, std::string label__ = "")
    {
        static_assert(N == 2, "wrong number of dimensions");
        this->layout_ = format;
        this->label_  = label__;
        if (this->layout_ == CblasColMajor)
            this->init_dimensions({{d0, d1}});
        else
            this->init_dimensions({{d1, d0}});
        this->raw_ptr_ = ptr__;
    }

    mdarray(T* ptr__, T* ptr_device__, mdarray_index_descriptor const& d0,
            mdarray_index_descriptor const& d1, std::string label__ = "")
    {
        static_assert(N == 2, "wrong number of dimensions");
        this->layout_ = format;
        this->label_  = label__;
        if (this->layout_ == CblasColMajor)
            this->init_dimensions({{d0, d1}});
        else
            this->init_dimensions({{d1, d0}});
        this->raw_ptr_ = ptr__;
#ifdef HAVE_CUDA
        this->raw_ptr_device_ = ptr_device__;
#else
        (void)ptr_device__; /* unused */
#endif
    }

    mdarray(T* ptr__, mdarray_index_descriptor const& d0,
            mdarray_index_descriptor const& d1,
            mdarray_index_descriptor const& d2, std::string label__ = "")
    {
        static_assert(N == 3, "wrong number of dimensions");
        this->layout_ = format;
        this->label_  = label__;
        if (this->layout_ == CblasColMajor)
            this->init_dimensions({{d0, d1, d2}});
        else
            this->init_dimensions({{d2, d1, d0}});

        this->raw_ptr_ = ptr__;
    }

    mdarray(T* ptr__, T* ptr_device__, mdarray_index_descriptor const& d0,
            mdarray_index_descriptor const& d1,
            mdarray_index_descriptor const& d2, std::string label__ = "")
    {
        static_assert(N == 3, "wrong number of dimensions");
        this->layout_ = format;
        this->label_  = label__;
        if (this->layout_ == CblasColMajor)
            this->init_dimensions({{d0, d1, d2}});
        else
            this->init_dimensions({{d2, d1, d0}});
        this->raw_ptr_ = ptr__;
#ifdef HAVE_CUDA
        this->raw_ptr_device_ = ptr_device__;
#else
        (void)ptr_device__; /* unused */
#endif
    }

    mdarray(T* ptr__, mdarray_index_descriptor const& d0,
            mdarray_index_descriptor const& d1,
            mdarray_index_descriptor const& d2,
            mdarray_index_descriptor const& d3, std::string label__ = "")
    {
        static_assert(N == 4, "wrong number of dimensions");
        this->layout_ = format;
        this->label_  = label__;
        if (this->layout_ == CblasColMajor)
            this->init_dimensions({{d0, d1, d2, d3}});
        else
            this->init_dimensions({{d3, d2, d1, d0}});

        this->raw_ptr_ = ptr__;
    }

    mdarray(T* ptr__, mdarray_index_descriptor const& d0,
            mdarray_index_descriptor const& d1,
            mdarray_index_descriptor const& d2,
            mdarray_index_descriptor const& d3,
            mdarray_index_descriptor const& d4, std::string label__ = "")
    {
        static_assert(N == 5, "wrong number of dimensions");
        this->layout_ = format;
        this->label_  = label__;
        if (this->layout_ == CblasColMajor)
            this->init_dimensions({{d0, d1, d2, d3, d4}});
        else
            this->init_dimensions({{d4, d3, d2, d1, d0}});
        this->raw_ptr_ = ptr__;
    }

    // mdarray<T, N, format>& operator=(std::function<T(int64_t)> f__)
    // {
    //     static_assert(N == 1, "wrong number of dimensions");

    //     for (int64_t i0 = this->dims_[0].begin(); i0 <= this->dims_[0].end();
    //     i0++) {
    //         (*this)(i0) = f__(i0);
    //     }
    //     return *this;
    // }

    // mdarray<T, N, format>& operator=(std::function<T(int64_t, int64_t)> f__)
    // {
    //     static_assert(N == 2, "wrong number of dimensions");

    //     for (int64_t i1 = this->dims_[1].begin(); i1 <= this->dims_[1].end();
    //     i1++) {
    //         for (int64_t i0 = this->dims_[0].begin(); i0 <=
    //         this->dims_[0].end(); i0++) {
    //             (*this)(i0, i1) = f__(i0, i1);
    //         }
    //     }
    //     return *this;
    // }
};

// Alias for matrix
template <typename T>
using matrix = mdarray<T, 2>;

/// Serialize to std::ostream
template <typename T, int N, CBLAS_LAYOUT format>
std::ostream& operator<<(std::ostream& out, mdarray<T, N>& v)
{
    if (v.size()) {
        out << v[0];
        for (size_t i = 1; i < v.size(); i++) {
            out << std::string(" ") << v[i];
        }
    }
    return out;
}

#endif // __MDARRAY_HPP__