TensorBase.h
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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2014 Benoit Steiner <benoit.steiner.goog@gmail.com>
5 //
6 // This Source Code Form is subject to the terms of the Mozilla
7 // Public License v. 2.0. If a copy of the MPL was not distributed
8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9 
10 #ifndef EIGEN_CXX11_TENSOR_TENSOR_BASE_H
11 #define EIGEN_CXX11_TENSOR_TENSOR_BASE_H
12 
13 // clang-format off
14 
15 namespace Eigen {
16 
25 #ifndef EIGEN_PARSED_BY_DOXYGEN
26 // FIXME Doxygen does not like the inheritance with different template parameters
27 // Since there is no doxygen documentation inside, we disable it for now
28 template<typename Derived>
30 {
31  public:
33  typedef typename DerivedTraits::Scalar Scalar;
34  typedef typename DerivedTraits::Index Index;
36  static const int NumDimensions = DerivedTraits::NumDimensions;
37 
38  // Generic nullary operation support.
39  template <typename CustomNullaryOp> EIGEN_DEVICE_FUNC
41  nullaryExpr(const CustomNullaryOp& func) const {
43  }
44 
45  // Coefficient-wise nullary operators
48  constant(const Scalar& value) const {
49  return nullaryExpr(internal::scalar_constant_op<Scalar>(value));
50  }
51 
54  random() const {
55  return nullaryExpr(internal::UniformRandomGenerator<Scalar>());
56  }
57  template <typename RandomGenerator> EIGEN_DEVICE_FUNC
59  random(const RandomGenerator& gen = RandomGenerator()) const {
60  return nullaryExpr(gen);
61  }
62 
63  // Tensor generation
64  template <typename Generator> EIGEN_DEVICE_FUNC
66  generate(const Generator& generator) const {
68  }
69 
70  // Generic unary operation support.
71  template <typename CustomUnaryOp> EIGEN_DEVICE_FUNC
73  unaryExpr(const CustomUnaryOp& func) const {
75  }
76 
77  // Coefficient-wise unary operators
80  operator-() const {
82  }
83 
86  sqrt() const {
88  }
89 
92  sign() const {
94  }
95 
98  rsqrt() const {
100  }
101 
104  square() const {
106  }
107 
110  cube() const {
112  }
113 
116  inverse() const {
118  }
119 
122  tanh() const {
124  }
125 
128  lgamma() const {
130  }
131 
134  digamma() const {
136  }
137 
140  bessel_i0() const {
142  }
143 
146  bessel_i0e() const {
148  }
149 
152  bessel_i1() const {
154  }
155 
158  bessel_i1e() const {
160  }
161 
164  bessel_j0() const {
166  }
167 
170  bessel_y0() const {
172  }
173 
176  bessel_j1() const {
178  }
179 
182  bessel_y1() const {
184  }
185 
188  bessel_k0() const {
190  }
191 
194  bessel_k0e() const {
196  }
197 
200  bessel_k1() const {
202  }
203 
206  bessel_k1e() const {
208  }
209 
210  // igamma(a = this, x = other)
211  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
212  const TensorCwiseBinaryOp<internal::scalar_igamma_op<Scalar>, const Derived, const OtherDerived>
213  igamma(const OtherDerived& other) const {
215  }
216 
217  // igamma_der_a(a = this, x = other)
218  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
219  const TensorCwiseBinaryOp<internal::scalar_igamma_der_a_op<Scalar>, const Derived, const OtherDerived>
220  igamma_der_a(const OtherDerived& other) const {
222  }
223 
224  // gamma_sample_der_alpha(alpha = this, sample = other)
225  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
226  const TensorCwiseBinaryOp<internal::scalar_gamma_sample_der_alpha_op<Scalar>, const Derived, const OtherDerived>
227  gamma_sample_der_alpha(const OtherDerived& other) const {
229  }
230 
231  // igammac(a = this, x = other)
232  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
233  const TensorCwiseBinaryOp<internal::scalar_igammac_op<Scalar>, const Derived, const OtherDerived>
234  igammac(const OtherDerived& other) const {
236  }
237 
238  // zeta(x = this, q = other)
239  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
240  const TensorCwiseBinaryOp<internal::scalar_zeta_op<Scalar>, const Derived, const OtherDerived>
241  zeta(const OtherDerived& other) const {
243  }
244 
245  // polygamma(n = this, x = other)
246  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
247  const TensorCwiseBinaryOp<internal::scalar_polygamma_op<Scalar>, const Derived, const OtherDerived>
248  polygamma(const OtherDerived& other) const {
250  }
251 
254  erf() const {
256  }
257 
260  erfc() const {
262  }
263 
266  ndtri() const {
268  }
269 
272  sigmoid() const {
274  }
275 
278  exp() const {
280  }
281 
284  expm1() const {
286  }
287 
290  log() const {
292  }
293 
296  log1p() const {
298  }
299 
302  log2() const {
304  }
305 
308  abs() const {
310  }
311 
316  }
317 
321  Derived>::type
322  conjugate() const {
324  }
325 
328  pow(Scalar exponent) const {
330  }
331 
334  real() const {
336  }
337 
340  imag() const {
342  }
343 
346  operator+ (Scalar rhs) const {
348  }
349 
351  EIGEN_STRONG_INLINE friend
353  operator+ (Scalar lhs, const Derived& rhs) {
354  return rhs.unaryExpr(internal::bind1st_op<internal::scalar_sum_op<Scalar> >(lhs));
355  }
356 
359  operator- (Scalar rhs) const {
360  EIGEN_STATIC_ASSERT((NumTraits<Scalar>::IsSigned || internal::is_same<Scalar, const std::complex<float> >::value), YOU_MADE_A_PROGRAMMING_MISTAKE);
362  }
363 
365  EIGEN_STRONG_INLINE friend
367  operator- (Scalar lhs, const Derived& rhs) {
369  }
370 
373  operator* (Scalar rhs) const {
375  }
376 
378  EIGEN_STRONG_INLINE friend
380  operator* (Scalar lhs, const Derived& rhs) {
381  return rhs.unaryExpr(internal::bind1st_op<internal::scalar_product_op<Scalar> >(lhs));
382  }
383 
386  operator/ (Scalar rhs) const {
388  }
389 
391  EIGEN_STRONG_INLINE friend
393  operator/ (Scalar lhs, const Derived& rhs) {
394  return rhs.unaryExpr(internal::bind1st_op<internal::scalar_quotient_op<Scalar> >(lhs));
395  }
396 
399  operator% (Scalar rhs) const {
400  EIGEN_STATIC_ASSERT(NumTraits<Scalar>::IsInteger, YOU_MADE_A_PROGRAMMING_MISTAKE_TRY_MOD);
402  }
403 
404  template <int NanPropagation=PropagateFast>
407  cwiseMax(Scalar threshold) const {
408  return cwiseMax<NanPropagation>(constant(threshold));
409  }
410 
411  template <int NanPropagation=PropagateFast>
414  cwiseMin(Scalar threshold) const {
415  return cwiseMin<NanPropagation>(constant(threshold));
416  }
417 
418  template<typename NewType>
421  Derived,
423  cast() const {
425  }
426 
429  round() const {
431  }
432 
435  rint() const {
437  }
438 
441  ceil() const {
443  }
444 
447  floor() const {
449  }
450 
451  // Generic binary operation support.
452  template <typename CustomBinaryOp, typename OtherDerived> EIGEN_DEVICE_FUNC
454  binaryExpr(const OtherDerived& other, const CustomBinaryOp& func) const {
456  }
457 
458  // Coefficient-wise binary operators.
459  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
460  const TensorCwiseBinaryOp<internal::scalar_sum_op<Scalar>, const Derived, const OtherDerived>
461  operator+(const OtherDerived& other) const {
462  return binaryExpr(other.derived(), internal::scalar_sum_op<Scalar>());
463  }
464 
465  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
466  const TensorCwiseBinaryOp<internal::scalar_difference_op<Scalar>, const Derived, const OtherDerived>
467  operator-(const OtherDerived& other) const {
469  }
470 
471  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
472  const TensorCwiseBinaryOp<internal::scalar_product_op<Scalar>, const Derived, const OtherDerived>
473  operator*(const OtherDerived& other) const {
475  }
476 
477  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
478  const TensorCwiseBinaryOp<internal::scalar_quotient_op<Scalar>, const Derived, const OtherDerived>
479  operator/(const OtherDerived& other) const {
481  }
482 
483  template<int NaNPropagation=PropagateFast, typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
485  cwiseMax(const OtherDerived& other) const {
487  }
488 
489  template<int NaNPropagation=PropagateFast, typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
491  cwiseMin(const OtherDerived& other) const {
493  }
494 
495  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
497  operator&&(const OtherDerived& other) const {
498  return binaryExpr(other.derived(), internal::scalar_boolean_and_op());
499  }
500 
501  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
503  operator||(const OtherDerived& other) const {
504  return binaryExpr(other.derived(), internal::scalar_boolean_or_op());
505  }
506 
507  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
509  operator^(const OtherDerived& other) const {
510  return binaryExpr(other.derived(), internal::scalar_boolean_xor_op());
511  }
512 
513  // Comparisons and tests.
514  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
516  operator<(const OtherDerived& other) const {
518  }
519  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
521  operator<=(const OtherDerived& other) const {
523  }
524  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
526  operator>(const OtherDerived& other) const {
528  }
529  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
531  operator>=(const OtherDerived& other) const {
533  }
534 
535  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
537  operator==(const OtherDerived& other) const {
539  }
540 
541  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
543  operator!=(const OtherDerived& other) const {
545  }
546 
547  // comparisons and tests for Scalars
550  operator<(Scalar threshold) const {
551  return operator<(constant(threshold));
552  }
555  operator<=(Scalar threshold) const {
556  return operator<=(constant(threshold));
557  }
560  operator>(Scalar threshold) const {
561  return operator>(constant(threshold));
562  }
565  operator>=(Scalar threshold) const {
566  return operator>=(constant(threshold));
567  }
570  operator==(Scalar threshold) const {
571  return operator==(constant(threshold));
572  }
575  operator!=(Scalar threshold) const {
576  return operator!=(constant(threshold));
577  }
578 
579  // Checks
582  (isnan)() const {
584  }
587  (isinf)() const {
589  }
592  (isfinite)() const {
594  }
595 
596  // Coefficient-wise ternary operators.
597  template<typename ThenDerived, typename ElseDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
599  select(const ThenDerived& thenTensor, const ElseDerived& elseTensor) const {
600  return TensorSelectOp<const Derived, const ThenDerived, const ElseDerived>(derived(), thenTensor.derived(), elseTensor.derived());
601  }
602 
603  // Contractions.
605 
606  template<typename OtherDerived, typename Dimensions> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
608  contract(const OtherDerived& other, const Dimensions& dims) const {
610  }
611 
612  template<typename OtherDerived, typename Dimensions, typename OutputKernel> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
614  contract(const OtherDerived& other, const Dimensions& dims, const OutputKernel& output_kernel) const {
616  }
617 
618  // Convolutions.
619  template<typename KernelDerived, typename Dimensions> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
621  convolve(const KernelDerived& kernel, const Dimensions& dims) const {
623  }
624 
625  // Fourier transforms
626  template <int FFTDataType, int FFTDirection, typename FFT> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
628  fft(const FFT& dims) const {
630  }
631 
632  // Scan.
635  const TensorScanSumOp
636  cumsum(const Index& axis, bool exclusive = false) const {
637  return TensorScanSumOp(derived(), axis, exclusive);
638  }
639 
642  const TensorScanProdOp
643  cumprod(const Index& axis, bool exclusive = false) const {
644  return TensorScanProdOp(derived(), axis, exclusive);
645  }
646 
647  template <typename Reducer>
650  scan(const Index& axis, const Reducer& reducer, bool exclusive = false) const {
651  return TensorScanOp<Reducer, const Derived>(derived(), axis, exclusive, reducer);
652  }
653 
654  // Reductions.
655  template <typename Dims> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
657  sum(const Dims& dims) const {
659  }
660 
662  sum() const {
665  }
666 
667  template <typename Dims> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
669  mean(const Dims& dims) const {
671  }
672 
674  mean() const {
677  }
678 
679  template <typename Dims> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
681  prod(const Dims& dims) const {
683  }
684 
686  prod() const {
689  }
690 
691  template <typename Dims,int NanPropagation=PropagateFast> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
693  maximum(const Dims& dims) const {
695  }
696 
697  template <int NanPropagation=PropagateFast>
699  maximum() const {
702  }
703 
704  template <typename Dims,int NanPropagation=PropagateFast> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
706  minimum(const Dims& dims) const {
708  }
709 
710  template <int NanPropagation=PropagateFast>
712  minimum() const {
715  }
716 
717  template <typename Dims> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
719  all(const Dims& dims) const {
720  return cast<bool>().reduce(dims, internal::AndReducer());
721  }
722 
725  all() const {
727  return cast<bool>().reduce(in_dims, internal::AndReducer());
728  }
729 
730  template <typename Dims> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
732  any(const Dims& dims) const {
733  return cast<bool>().reduce(dims, internal::OrReducer());
734  }
735 
738  any() const {
740  return cast<bool>().reduce(in_dims, internal::OrReducer());
741  }
742 
744  const TensorTupleReducerOp<
746  const array<Index, NumDimensions>, const Derived>
747  argmax() const {
749  for (Index d = 0; d < NumDimensions; ++d) in_dims[d] = d;
750  return TensorTupleReducerOp<
753  const Derived>(derived(), internal::ArgMaxTupleReducer<Tuple<Index, CoeffReturnType> >(), -1, in_dims);
754  }
755 
757  const TensorTupleReducerOp<
759  const array<Index, NumDimensions>, const Derived>
760  argmin() const {
762  for (Index d = 0; d < NumDimensions; ++d) in_dims[d] = d;
763  return TensorTupleReducerOp<
766  const Derived>(derived(), internal::ArgMinTupleReducer<Tuple<Index, CoeffReturnType> >(), -1, in_dims);
767  }
768 
770  const TensorTupleReducerOp<
772  const array<Index, 1>, const Derived>
773  argmax(const Index return_dim) const {
774  array<Index, 1> in_dims;
775  in_dims[0] = return_dim;
776  return TensorTupleReducerOp<
778  const array<Index, 1>,
779  const Derived>(derived(), internal::ArgMaxTupleReducer<Tuple<Index, CoeffReturnType> >(), return_dim, in_dims);
780  }
781 
783  const TensorTupleReducerOp<
785  const array<Index, 1>, const Derived>
786  argmin(const Index return_dim) const {
787  array<Index, 1> in_dims;
788  in_dims[0] = return_dim;
789  return TensorTupleReducerOp<
791  const array<Index, 1>,
792  const Derived>(derived(), internal::ArgMinTupleReducer<Tuple<Index, CoeffReturnType> >(), return_dim, in_dims);
793  }
794 
795  template <typename Reducer, typename Dims> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
797  reduce(const Dims& dims, const Reducer& reducer) const {
799  }
800 
801  template <typename Dims> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
803  trace(const Dims& dims) const {
805  }
806 
808  trace() const {
810  return TensorTraceOp<const DimensionList<Index, NumDimensions>, const Derived>(derived(), in_dims);
811  }
812 
813  template <typename Broadcast> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
815  broadcast(const Broadcast& bcast) const {
817  }
818 
819  template <typename Axis, typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
821  concatenate(const OtherDerived& other, Axis axis) const {
823  }
824 
825  template <typename PatchDims> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
827  extract_patches(const PatchDims& patch_dims) const {
829  }
830 
833  extract_image_patches(const Index patch_rows = 1, const Index patch_cols = 1,
834  const Index row_stride = 1, const Index col_stride = 1,
835  const Index in_row_stride = 1, const Index in_col_stride = 1,
836  const PaddingType padding_type = PADDING_SAME, const Scalar padding_value = Scalar(0)) const {
837  return TensorImagePatchOp<Dynamic, Dynamic, const Derived>(derived(), patch_rows, patch_cols, row_stride, col_stride,
838  in_row_stride, in_col_stride, 1, 1, padding_type, padding_value);
839  }
840 
843  extract_image_patches(const Index patch_rows, const Index patch_cols,
844  const Index row_stride, const Index col_stride,
845  const Index in_row_stride, const Index in_col_stride,
846  const Index row_inflate_stride, const Index col_inflate_stride,
847  const Index padding_top, const Index padding_bottom,
848  const Index padding_left,const Index padding_right,
849  const Scalar padding_value) const {
850  return TensorImagePatchOp<Dynamic, Dynamic, const Derived>(derived(), patch_rows, patch_cols, row_stride, col_stride,
851  in_row_stride, in_col_stride, row_inflate_stride, col_inflate_stride,
852  padding_top, padding_bottom, padding_left, padding_right, padding_value);
853  }
854 
857  extract_volume_patches(const Index patch_planes, const Index patch_rows, const Index patch_cols,
858  const Index plane_stride = 1, const Index row_stride = 1, const Index col_stride = 1,
859  const PaddingType padding_type = PADDING_SAME, const Scalar padding_value = Scalar(0)) const {
860  return TensorVolumePatchOp<Dynamic, Dynamic, Dynamic, const Derived>(derived(), patch_planes, patch_rows, patch_cols, plane_stride, row_stride, col_stride, 1, 1, 1, 1, 1, 1, padding_type, padding_value);
861  }
862 
863 
866  extract_volume_patches(const Index patch_planes, const Index patch_rows, const Index patch_cols,
867  const Index plane_stride, const Index row_stride, const Index col_stride,
868  const Index plane_inflate_stride, const Index row_inflate_stride, const Index col_inflate_stride,
869  const Index padding_top_z, const Index padding_bottom_z,
870  const Index padding_top, const Index padding_bottom,
871  const Index padding_left, const Index padding_right, const Scalar padding_value = Scalar(0)) const {
872  return TensorVolumePatchOp<Dynamic, Dynamic, Dynamic, const Derived>(derived(), patch_planes, patch_rows, patch_cols, plane_stride, row_stride, col_stride, 1, 1, 1, plane_inflate_stride, row_inflate_stride, col_inflate_stride, padding_top_z, padding_bottom_z, padding_top, padding_bottom, padding_left, padding_right, padding_value);
873  }
874 
875  // Morphing operators.
878  swap_layout() const {
880  }
881  template <typename NewDimensions> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
883  reshape(const NewDimensions& newDimensions) const {
885  }
886  template <typename StartIndices, typename Sizes> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
888  slice(const StartIndices& startIndices, const Sizes& sizes) const {
890  }
891  template <typename StartIndices, typename StopIndices, typename Strides> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
893  stridedSlice(const StartIndices& startIndices, const StopIndices& stopIndices, const Strides& strides) const {
894  return TensorStridingSlicingOp<const StartIndices, const StopIndices, const Strides,
895  const Derived>(derived(), startIndices, stopIndices, strides);
896  }
897  template <Index DimId> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
899  chip(const Index offset) const {
901  }
904  chip(const Index offset, const Index dim) const {
906  }
907  template <typename ReverseDimensions> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
909  reverse(const ReverseDimensions& rev) const {
911  }
912  template <typename PaddingDimensions> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
914  pad(const PaddingDimensions& padding) const {
916  }
917  template <typename PaddingDimensions> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
919  pad(const PaddingDimensions& padding, const Scalar padding_value) const {
920  return TensorPaddingOp<const PaddingDimensions, const Derived>(derived(), padding, padding_value);
921  }
922  template <typename Shuffle> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
924  shuffle(const Shuffle& shfl) const {
926  }
927  template <typename Strides> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
929  stride(const Strides& strides) const {
931  }
932  template <typename Strides> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
934  inflate(const Strides& strides) const {
936  }
937 
938  // Returns a tensor containing index/value tuples
941  index_tuples() const {
943  }
944 
945  // Support for custom unary and binary operations
946  template <typename CustomUnaryFunc>
950  }
951  template <typename OtherDerived, typename CustomBinaryFunc>
953  const TensorCustomBinaryOp<const CustomBinaryFunc, const Derived, const OtherDerived> customOp(const OtherDerived& other, const CustomBinaryFunc& op) const {
955  }
956 
957  // Force the evaluation of the expression.
961  }
962 
963  protected:
964  template <typename Scalar, int NumIndices, int Options, typename IndexType> friend class Tensor;
965  template <typename Scalar, typename Dimensions, int Option, typename IndexTypes> friend class TensorFixedSize;
966  // the Eigen:: prefix is required to workaround a compilation issue with nvcc 9.0
967  template <typename OtherDerived, int AccessLevel> friend class Eigen::TensorBase;
969  EIGEN_STRONG_INLINE const Derived& derived() const { return *static_cast<const Derived*>(this); }
970 };
971 
973 class TensorBase : public TensorBase<Derived, ReadOnlyAccessors> {
974  public:
977  typedef typename DerivedTraits::Scalar Scalar;
978  typedef typename DerivedTraits::Index Index;
980  static const int NumDimensions = DerivedTraits::NumDimensions;
981 
982  template <typename Scalar, int NumIndices, int Options, typename IndexType> friend class Tensor;
983  template <typename Scalar, typename Dimensions, int Option, typename IndexTypes> friend class TensorFixedSize;
984  // the Eigen:: prefix is required to workaround a compilation issue with nvcc 9.0
985  template <typename OtherDerived, int OtherAccessLevel> friend class Eigen::TensorBase;
986 
989  return setConstant(Scalar(0));
990  }
992  EIGEN_STRONG_INLINE Derived& setConstant(const Scalar& val) {
993  return derived() = this->constant(val);
994  }
997  return derived() = this->random();
998  }
999  template <typename RandomGenerator> EIGEN_DEVICE_FUNC
1001  return derived() = this->template random<RandomGenerator>();
1002  }
1003 
1004 #if EIGEN_HAS_VARIADIC_TEMPLATES
1006  EIGEN_STRONG_INLINE Derived& setValues(
1007  const typename internal::Initializer<Derived, NumDimensions>::InitList& vals) {
1009  internal::initialize_tensor<Derived, NumDimensions>(eval, vals);
1010  return derived();
1011  }
1012 #endif // EIGEN_HAS_VARIADIC_TEMPLATES
1013 
1014  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1015  Derived& operator+=(const OtherDerived& other) {
1016  return derived() = derived() + other.derived();
1017  }
1018  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1019  Derived& operator-=(const OtherDerived& other) {
1020  return derived() = derived() - other.derived();
1021  }
1022  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1023  Derived& operator*=(const OtherDerived& other) {
1024  return derived() = derived() * other.derived();
1025  }
1026  template<typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1027  Derived& operator/=(const OtherDerived& other) {
1028  return derived() = derived() / other.derived();
1029  }
1030 
1033  swap_layout() const {
1035  }
1040  }
1041 
1042  template <typename Axis, typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1044  concatenate(const OtherDerived& other, const Axis& axis) const {
1046  }
1047  template <typename Axis, typename OtherDerived> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1049  concatenate(const OtherDerived& other, const Axis& axis) {
1051  }
1052 
1053  template <typename NewDimensions> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1055  reshape(const NewDimensions& newDimensions) const {
1057  }
1058  template <typename NewDimensions> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1060  reshape(const NewDimensions& newDimensions) {
1062  }
1063 
1064  template <typename StartIndices, typename Sizes> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1066  slice(const StartIndices& startIndices, const Sizes& sizes) const {
1068  }
1069  template <typename StartIndices, typename Sizes> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1071  slice(const StartIndices& startIndices, const Sizes& sizes) {
1073  }
1074 
1075  template <typename StartIndices, typename StopIndices, typename Strides> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1077  stridedSlice(const StartIndices& startIndices, const StopIndices& stopIndices, const Strides& strides) const {
1078  return TensorStridingSlicingOp<const StartIndices, const StopIndices, const Strides,
1079  const Derived>(derived(), startIndices, stopIndices, strides);
1080  }
1081  template <typename StartIndices, typename StopIndices, typename Strides> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1083  stridedSlice(const StartIndices& startIndices, const StopIndices& stopIndices, const Strides& strides) {
1084  return TensorStridingSlicingOp<const StartIndices, const StopIndices, const Strides,
1085  Derived>(derived(), startIndices, stopIndices, strides);
1086  }
1087 
1088  template <DenseIndex DimId> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1090  chip(const Index offset) const {
1092  }
1093  template <Index DimId> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1095  chip(const Index offset) {
1097  }
1098 
1101  chip(const Index offset, const Index dim) const {
1103  }
1106  chip(const Index offset, const Index dim) {
1108  }
1109 
1110  template <typename ReverseDimensions> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1112  reverse(const ReverseDimensions& rev) const {
1114  }
1115  template <typename ReverseDimensions> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1117  reverse(const ReverseDimensions& rev) {
1119  }
1120 
1121  template <typename Shuffle> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1123  shuffle(const Shuffle& shfl) const {
1125  }
1126  template <typename Shuffle> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1128  shuffle(const Shuffle& shfl) {
1130  }
1131 
1132  template <typename Strides> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1134  stride(const Strides& strides) const {
1136  }
1137  template <typename Strides> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
1139  stride(const Strides& strides) {
1141  }
1142 
1143  // Select the device on which to evaluate the expression.
1144  template <typename DeviceType>
1147  }
1148 
1149  // Select the async device on which to evaluate the expression.
1150  template <typename DeviceType, typename DoneCallback>
1151  TensorAsyncDevice<Derived, DeviceType, DoneCallback> device(const DeviceType& dev, DoneCallback done) {
1152  return TensorAsyncDevice<Derived, DeviceType, DoneCallback>(dev, derived(), std::move(done));
1153  }
1154 
1155  protected:
1158 
1159  template<typename OtherDerived> EIGEN_DEVICE_FUNC
1160  EIGEN_STRONG_INLINE Derived& operator=(const OtherDerived& other)
1161  {
1163  Assign assign(derived(), other.derived());
1165  return derived();
1166  }
1167 
1169  EIGEN_STRONG_INLINE Derived& derived() { return *static_cast<Derived*>(this); }
1171  EIGEN_STRONG_INLINE const Derived& derived() const { return *static_cast<const Derived*>(this); }
1172 };
1173 #endif // EIGEN_PARSED_BY_DOXYGEN
1174 } // end namespace Eigen
1175 
1176 #endif // EIGEN_CXX11_TENSOR_TENSOR_BASE_H
Eigen::Tensor
The tensor class.
Definition: Tensor.h:63
Dims
std::vector< Eigen::Index > Dims
Definition: testGaussianConditional.cpp:46
Eigen::TensorBase< Derived, ReadOnlyAccessors >::abs
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_abs_op< Scalar >, const Derived > abs() const
Definition: TensorBase.h:308
Eigen::TensorBase< Derived, ReadOnlyAccessors >::cwiseMin
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_min_op< Scalar, Scalar, NaNPropagation >, const Derived, const OtherDerived > cwiseMin(const OtherDerived &other) const
Definition: TensorBase.h:491
Eigen::TensorBase< Derived, ReadOnlyAccessors >::cwiseMin
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_min_op< Scalar, Scalar, NanPropagation >, const Derived, const TensorCwiseNullaryOp< internal::scalar_constant_op< Scalar >, const Derived > > cwiseMin(Scalar threshold) const
Definition: TensorBase.h:414
Eigen::internal::scalar_bessel_i0_op
Definition: ForwardDeclarations.h:226
Eigen::TensorBase< Derived, ReadOnlyAccessors >::broadcast
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorBroadcastingOp< const Broadcast, const Derived > broadcast(const Broadcast &bcast) const
Definition: TensorBase.h:815
Eigen::TensorBase< Derived, ReadOnlyAccessors >::lgamma
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_lgamma_op< Scalar >, const Derived > lgamma() const
Definition: TensorBase.h:128
Eigen::bfloat16_impl::operator<=
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC bool operator<=(const bfloat16 &a, const bfloat16 &b)
Definition: BFloat16.h:227
Eigen::internal::scalar_isnan_op
Definition: UnaryFunctors.h:872
EIGEN_DEVICE_FUNC
#define EIGEN_DEVICE_FUNC
Definition: Macros.h:976
Eigen::internal::scalar_round_op
Definition: UnaryFunctors.h:796
Eigen::operator!=
EIGEN_CONSTEXPR EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE bool operator!=(const Tuple< U, V > &x, const Tuple< U, V > &y)
Definition: TensorMeta.h:241
Eigen::TensorBase< Derived, ReadOnlyAccessors >::pow
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::bind2nd_op< internal::scalar_pow_op< Scalar, Scalar > >, const Derived > pow(Scalar exponent) const
Definition: TensorBase.h:328
Eigen
Namespace containing all symbols from the Eigen library.
Definition: jet.h:637
Eigen::PaddingType
PaddingType
Definition: TensorTraits.h:257
Eigen::TensorBase< Derived, ReadOnlyAccessors >::sigmoid
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_logistic_op< Scalar >, const Derived > sigmoid() const
Definition: TensorBase.h:272
Eigen::TensorBase< Derived, ReadOnlyAccessors >::Scalar
DerivedTraits::Scalar Scalar
Definition: TensorBase.h:33
Eigen::TensorBase< Derived, ReadOnlyAccessors >::DimensionPair
Eigen::IndexPair< Index > DimensionPair
Definition: TensorBase.h:604
Eigen::internal::scalar_pow_op
Definition: BinaryFunctors.h:304
Eigen::TensorBase< Derived, ReadOnlyAccessors >::bessel_i0e
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_bessel_i0e_op< Scalar >, const Derived > bessel_i0e() const
Definition: TensorBase.h:146
Eigen::TensorBase< Derived, ReadOnlyAccessors >::erf
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_erf_op< Scalar >, const Derived > erf() const
Definition: TensorBase.h:254
Eigen::TensorBase< Derived, ReadOnlyAccessors >::operator&&
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_boolean_and_op, const Derived, const OtherDerived > operator&&(const OtherDerived &other) const
Definition: TensorBase.h:497
Eigen::TensorBase< Derived, ReadOnlyAccessors >::log1p
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_log1p_op< Scalar >, const Derived > log1p() const
Definition: TensorBase.h:296
Eigen::TensorBase< Derived, ReadOnlyAccessors >::rint
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_rint_op< Scalar >, const Derived > rint() const
Definition: TensorBase.h:435
Eigen::internal::scalar_cmp_op
Definition: BinaryFunctors.h:202
Eigen::internal::scalar_igamma_der_a_op
Definition: SpecialFunctionsFunctors.h:51
Eigen::internal::scalar_igammac_op
Definition: ForwardDeclarations.h:221
Eigen::max
CleanedUpDerType< DerType >::type() max(const AutoDiffScalar< DerType > &x, const T &y)
Definition: AutoDiffScalar.h:585
Eigen::internal::strides
EIGEN_ALWAYS_INLINE DSizes< IndexType, NumDims > strides(const DSizes< IndexType, NumDims > &dimensions)
Definition: TensorBlock.h:26
Eigen::TensorBase< Derived, ReadOnlyAccessors >::bessel_k1e
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_bessel_k1e_op< Scalar >, const Derived > bessel_k1e() const
Definition: TensorBase.h:206
Eigen::internal::scalar_sqrt_op
Definition: UnaryFunctors.h:418
Eigen::TensorBase< Derived, ReadOnlyAccessors >::trace
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorTraceOp< const Dims, const Derived > trace(const Dims &dims) const
Definition: TensorBase.h:803
Eigen::internal::scalar_inverse_op
Definition: UnaryFunctors.h:719
Eigen::TensorDevice
Pseudo expression providing an operator = that will evaluate its argument on the specified computing ...
Definition: TensorDevice.h:27
Eigen::TensorCustomUnaryOp
Tensor custom class.
Definition: TensorCustomOp.h:53
d
static const double d[K][N]
Definition: igam.h:11
Eigen::bfloat16_impl::operator>
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC bool operator>(const bfloat16 &a, const bfloat16 &b)
Definition: BFloat16.h:230
Eigen::internal::scalar_square_op
Definition: UnaryFunctors.h:739
Eigen::internal::scalar_abs_op
Definition: UnaryFunctors.h:41
Eigen::internal::scalar_quotient_op
Definition: BinaryFunctors.h:378
Eigen::TensorPaddingOp
Definition: TensorForwardDeclarations.h:80
Eigen::TensorBase< Derived, ReadOnlyAccessors >::bessel_k1
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_bessel_k1_op< Scalar >, const Derived > bessel_k1() const
Definition: TensorBase.h:200
Eigen::TensorBase< Derived, ReadOnlyAccessors >::bessel_k0e
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_bessel_k0e_op< Scalar >, const Derived > bessel_k0e() const
Definition: TensorBase.h:194
Eigen::TensorBase< Derived, ReadOnlyAccessors >::reshape
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorReshapingOp< const NewDimensions, const Derived > reshape(const NewDimensions &newDimensions) const
Definition: TensorBase.h:883
EIGEN_DEFAULT_EMPTY_CONSTRUCTOR_AND_DESTRUCTOR
#define EIGEN_DEFAULT_EMPTY_CONSTRUCTOR_AND_DESTRUCTOR(Derived)
Definition: Macros.h:1247
Eigen::TensorBase< Derived, ReadOnlyAccessors >::chip
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorChippingOp< Dynamic, const Derived > chip(const Index offset, const Index dim) const
Definition: TensorBase.h:904
Eigen::array
Definition: EmulateArray.h:21
Eigen::operator+
const EIGEN_STRONG_INLINE CwiseBinaryOp< internal::scalar_sum_op< typename DenseDerived::Scalar, typename SparseDerived::Scalar >, const DenseDerived, const SparseDerived > operator+(const MatrixBase< DenseDerived > &a, const SparseMatrixBase< SparseDerived > &b)
Definition: SparseCwiseBinaryOp.h:694
Eigen::internal::scalar_lgamma_op
Definition: ForwardDeclarations.h:215
Eigen::TensorBase::concatenate
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorConcatenationOp< const Axis, const Derived, const OtherDerived > concatenate(const OtherDerived &other, const Axis &axis) const
Definition: TensorBase.h:1044
Eigen::TensorBase::operator+=
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & operator+=(const OtherDerived &other)
Definition: TensorBase.h:1015
Eigen::TensorBase::setConstant
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & setConstant(const Scalar &val)
Definition: TensorBase.h:992
Eigen::internal::SumReducer
Definition: TensorFunctors.h:68
Eigen::TensorCwiseUnaryOp
Definition: TensorExpr.h:115
Eigen::TensorReductionOp
Definition: TensorForwardDeclarations.h:63
Eigen::internal::scalar_isfinite_op
Definition: UnaryFunctors.h:920
Eigen::internal::scalar_bessel_j1_op
Definition: ForwardDeclarations.h:232
Eigen::TensorTraceOp
Definition: TensorForwardDeclarations.h:88
Eigen::internal::scalar_clamp_op
Definition: TensorFunctors.h:467
Eigen::TensorBase::reshape
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorReshapingOp< const NewDimensions, const Derived > reshape(const NewDimensions &newDimensions) const
Definition: TensorBase.h:1055
Eigen::internal::scalar_cast_op
Definition: UnaryFunctors.h:160
Eigen::TensorBase::stride
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorStridingOp< const Strides, Derived > stride(const Strides &strides)
Definition: TensorBase.h:1139
Eigen::TensorBase< Derived, ReadOnlyAccessors >::mean
const TensorReductionOp< internal::MeanReducer< CoeffReturnType >, const DimensionList< Index, NumDimensions >, const Derived > mean() const
Definition: TensorBase.h:674
Eigen::TensorBase< Derived, ReadOnlyAccessors >::argmin
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorTupleReducerOp< internal::ArgMinTupleReducer< Tuple< Index, CoeffReturnType > >, const array< Index, NumDimensions >, const Derived > argmin() const
Definition: TensorBase.h:760
Eigen::TensorBase< Derived, ReadOnlyAccessors >::reverse
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorReverseOp< const ReverseDimensions, const Derived > reverse(const ReverseDimensions &rev) const
Definition: TensorBase.h:909
Eigen::TensorBase< Derived, ReadOnlyAccessors >::random
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseNullaryOp< internal::UniformRandomGenerator< Scalar >, const Derived > random() const
Definition: TensorBase.h:54
gtsam::operator%
Signature operator%(const DiscreteKey &key, const string &parent)
Definition: Signature.cpp:134
Eigen::TensorScanOp
Definition: TensorForwardDeclarations.h:87
Eigen::internal::scalar_log2_op
Definition: UnaryFunctors.h:404
Eigen::internal::scalar_imag_op
Definition: UnaryFunctors.h:229
sizes
std::vector< Array2i > sizes
Definition: dense_solvers.cpp:12
Eigen::TensorBase< Derived, ReadOnlyAccessors >::argmin
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorTupleReducerOp< internal::ArgMinTupleReducer< Tuple< Index, CoeffReturnType > >, const array< Index, 1 >, const Derived > argmin(const Index return_dim) const
Definition: TensorBase.h:786
type
Definition: pytypes.h:1525
Eigen::TensorBase< Derived, ReadOnlyAccessors >::operator+
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_sum_op< Scalar >, const Derived, const OtherDerived > operator+(const OtherDerived &other) const
Definition: TensorBase.h:461
Eigen::TensorBase::chip
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorChippingOp< Dynamic, Derived > chip(const Index offset, const Index dim)
Definition: TensorBase.h:1106
Eigen::internal::scalar_erf_op
Definition: ForwardDeclarations.h:217
Eigen::internal::scalar_rint_op
Definition: UnaryFunctors.h:834
Eigen::internal::bind1st_op
Definition: BinaryFunctors.h:499
Eigen::TensorBase< Derived, ReadOnlyAccessors >::operator^
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_boolean_xor_op, const Derived, const OtherDerived > operator^(const OtherDerived &other) const
Definition: TensorBase.h:509
Eigen::TensorBase< Derived, ReadOnlyAccessors >::minimum
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorReductionOp< internal::MinReducer< CoeffReturnType, NanPropagation >, const Dims, const Derived > minimum(const Dims &dims) const
Definition: TensorBase.h:706
Eigen::TensorBase< Derived, ReadOnlyAccessors >::square
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_square_op< Scalar >, const Derived > square() const
Definition: TensorBase.h:104
Eigen::operator-
const EIGEN_STRONG_INLINE CwiseBinaryOp< internal::scalar_difference_op< typename DenseDerived::Scalar, typename SparseDerived::Scalar >, const DenseDerived, const SparseDerived > operator-(const MatrixBase< DenseDerived > &a, const SparseMatrixBase< SparseDerived > &b)
Definition: SparseCwiseBinaryOp.h:708
isnan
#define isnan(X)
Definition: main.h:93
Eigen::TensorBase< Derived, ReadOnlyAccessors >
Definition: TensorBase.h:29
Eigen::TensorBase< Derived, ReadOnlyAccessors >::mean
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorReductionOp< internal::MeanReducer< CoeffReturnType >, const Dims, const Derived > mean(const Dims &dims) const
Definition: TensorBase.h:669
Eigen::TensorImagePatchOp
Definition: TensorForwardDeclarations.h:72
Eigen::TensorBase::CoeffReturnType
Scalar CoeffReturnType
Definition: TensorBase.h:979
Eigen::PADDING_SAME
@ PADDING_SAME
Definition: TensorTraits.h:259
Eigen::TensorBase< Derived, ReadOnlyAccessors >::maximum
const TensorReductionOp< internal::MaxReducer< CoeffReturnType, NanPropagation >, const DimensionList< Index, NumDimensions >, const Derived > maximum() const
Definition: TensorBase.h:699
Eigen::TensorBase< Derived, ReadOnlyAccessors >::igammac
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_igammac_op< Scalar >, const Derived, const OtherDerived > igammac(const OtherDerived &other) const
Definition: TensorBase.h:234
Eigen::TensorBase::shuffle
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorShufflingOp< const Shuffle, const Derived > shuffle(const Shuffle &shfl) const
Definition: TensorBase.h:1123
Eigen::TensorBase< Derived, ReadOnlyAccessors >::prod
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorReductionOp< internal::ProdReducer< CoeffReturnType >, const Dims, const Derived > prod(const Dims &dims) const
Definition: TensorBase.h:681
Eigen::TensorBase< Derived, ReadOnlyAccessors >::conjugate
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE internal::conditional< NumTraits< CoeffReturnType >::IsComplex, TensorCwiseUnaryOp< internal::scalar_conjugate_op< Scalar >, const Derived >, Derived >::type conjugate() const
Definition: TensorBase.h:322
Eigen::internal::OrReducer
Definition: TensorFunctors.h:346
Eigen::TensorBase::operator/=
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & operator/=(const OtherDerived &other)
Definition: TensorBase.h:1027
Eigen::TensorBase< Derived, ReadOnlyAccessors >::rsqrt
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_rsqrt_op< Scalar >, const Derived > rsqrt() const
Definition: TensorBase.h:98
Eigen::TensorBase< Derived, ReadOnlyAccessors >::argmax
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorTupleReducerOp< internal::ArgMaxTupleReducer< Tuple< Index, CoeffReturnType > >, const array< Index, 1 >, const Derived > argmax(const Index return_dim) const
Definition: TensorBase.h:773
Eigen::TensorBase::device
TensorAsyncDevice< Derived, DeviceType, DoneCallback > device(const DeviceType &dev, DoneCallback done)
Definition: TensorBase.h:1151
Eigen::TensorBase< Derived, ReadOnlyAccessors >::bessel_j0
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_bessel_j0_op< Scalar >, const Derived > bessel_j0() const
Definition: TensorBase.h:164
Eigen::IndexPair
Definition: TensorMeta.h:247
Eigen::TensorBase::chip
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorChippingOp< DimId, Derived > chip(const Index offset)
Definition: TensorBase.h:1095
Eigen::TensorBase< Derived, ReadOnlyAccessors >::Index
DerivedTraits::Index Index
Definition: TensorBase.h:34
Eigen::TensorAsyncDevice
Pseudo expression providing an operator = that will evaluate its argument asynchronously on the speci...
Definition: TensorDevice.h:83
Eigen::TensorBase< Derived, ReadOnlyAccessors >::random
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseNullaryOp< RandomGenerator, const Derived > random(const RandomGenerator &gen=RandomGenerator()) const
Definition: TensorBase.h:59
Eigen::internal::scalar_sign_op
Definition: UnaryFunctors.h:961
Eigen::internal::scalar_product_op
Definition: BinaryFunctors.h:70
Eigen::TensorBase< Derived, ReadOnlyAccessors >::concatenate
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorConcatenationOp< Axis, const Derived, const OtherDerived > concatenate(const OtherDerived &other, Axis axis) const
Definition: TensorBase.h:821
Eigen::operator*
const EIGEN_DEVICE_FUNC Product< MatrixDerived, PermutationDerived, AliasFreeProduct > operator*(const MatrixBase< MatrixDerived > &matrix, const PermutationBase< PermutationDerived > &permutation)
Definition: PermutationMatrix.h:515
Eigen::TensorForcedEvalOp
Definition: TensorForcedEval.h:59
Eigen::TensorBase< Derived, ReadOnlyAccessors >::all
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorReductionOp< internal::AndReducer, const Dims, const typename internal::conditional< internal::is_same< bool, CoeffReturnType >::value, Derived, TensorConversionOp< bool, const Derived > >::type > all(const Dims &dims) const
Definition: TensorBase.h:719
Eigen::TensorBase< Derived, ReadOnlyAccessors >::sign
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_sign_op< Scalar >, const Derived > sign() const
Definition: TensorBase.h:92
Eigen::TensorBase::reverse
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorReverseOp< const ReverseDimensions, const Derived > reverse(const ReverseDimensions &rev) const
Definition: TensorBase.h:1112
Eigen::TensorBase< Derived, ReadOnlyAccessors >::cwiseMax
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_max_op< Scalar, Scalar, NaNPropagation >, const Derived, const OtherDerived > cwiseMax(const OtherDerived &other) const
Definition: TensorBase.h:485
Eigen::TensorBase< Derived, ReadOnlyAccessors >::operator-
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_difference_op< Scalar >, const Derived, const OtherDerived > operator-(const OtherDerived &other) const
Definition: TensorBase.h:467
Eigen::internal::scalar_ndtri_op
Definition: ForwardDeclarations.h:219
Eigen::Sizes
Definition: TensorDimensions.h:93
Eigen::TensorStridingSlicingOp
Definition: TensorForwardDeclarations.h:83
Eigen::DefaultDevice
Definition: TensorDeviceDefault.h:17
Eigen::TensorBase< Derived, ReadOnlyAccessors >::chip
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorChippingOp< DimId, const Derived > chip(const Index offset) const
Definition: TensorBase.h:899
Eigen::TensorBase< Derived, ReadOnlyAccessors >::eval
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorForcedEvalOp< const Derived > eval() const
Definition: TensorBase.h:959
Eigen::TensorBase< Derived, ReadOnlyAccessors >::TensorScanSumOp
TensorScanOp< internal::SumReducer< CoeffReturnType >, const Derived > TensorScanSumOp
Definition: TensorBase.h:633
Eigen::TensorConcatenationOp
Tensor concatenation class.
Definition: TensorConcatenation.h:60
gtsam::Dims
std::vector< Key > Dims
Definition: HessianFactor.cpp:41
Eigen::TensorBase< Derived, ReadOnlyAccessors >::extract_volume_patches
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorVolumePatchOp< Dynamic, Dynamic, Dynamic, const Derived > extract_volume_patches(const Index patch_planes, const Index patch_rows, const Index patch_cols, const Index plane_stride=1, const Index row_stride=1, const Index col_stride=1, const PaddingType padding_type=PADDING_SAME, const Scalar padding_value=Scalar(0)) const
Definition: TensorBase.h:857
Eigen::DimensionList
Definition: TensorDimensionList.h:25
Eigen::TensorReverseOp
Definition: TensorForwardDeclarations.h:79
Eigen::TensorBase< Derived, ReadOnlyAccessors >::cube
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_cube_op< Scalar >, const Derived > cube() const
Definition: TensorBase.h:110
Eigen::internal::scalar_bessel_k0e_op
Definition: ForwardDeclarations.h:235
Eigen::TensorBase< Derived, ReadOnlyAccessors >::erfc
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_erfc_op< Scalar >, const Derived > erfc() const
Definition: TensorBase.h:260
Eigen::internal::scalar_log_op
Definition: UnaryFunctors.h:337
Eigen::TensorBase< Derived, ReadOnlyAccessors >::contract
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorContractionOp< const Dimensions, const Derived, const OtherDerived, const NoOpOutputKernel > contract(const OtherDerived &other, const Dimensions &dims) const
Definition: TensorBase.h:608
Eigen::internal::scalar_boolean_xor_op
Definition: BinaryFunctors.h:447
Eigen::internal::scalar_floor_op
Definition: UnaryFunctors.h:815
Eigen::internal::scalar_bessel_i1e_op
Definition: ForwardDeclarations.h:229
Eigen::TensorBase< Derived, ReadOnlyAccessors >::operator>
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_cmp_op< Scalar, Scalar, internal::cmp_GT >, const Derived, const TensorCwiseNullaryOp< internal::scalar_constant_op< Scalar >, const Derived > > operator>(Scalar threshold) const
Definition: TensorBase.h:560
Eigen::internal::scalar_bessel_y1_op
Definition: ForwardDeclarations.h:233
Eigen::internal::scalar_rsqrt_op
Definition: UnaryFunctors.h:457
Eigen::TensorCustomBinaryOp
Tensor custom class.
Definition: TensorCustomOp.h:219
Eigen::TensorBase::reshape
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorReshapingOp< const NewDimensions, Derived > reshape(const NewDimensions &newDimensions)
Definition: TensorBase.h:1060
Eigen::TensorBase< Derived, ReadOnlyAccessors >::index_tuples
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorIndexTupleOp< const Derived > index_tuples() const
Definition: TensorBase.h:941
Eigen::TensorBase< Derived, ReadOnlyAccessors >::nullaryExpr
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseNullaryOp< CustomNullaryOp, const Derived > nullaryExpr(const CustomNullaryOp &func) const
Definition: TensorBase.h:41
Eigen::internal::scalar_exp_op
Definition: UnaryFunctors.h:277
Eigen::TensorBase< Derived, ReadOnlyAccessors >::operator==
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_cmp_op< Scalar, Scalar, internal::cmp_EQ >, const Derived, const OtherDerived > operator==(const OtherDerived &other) const
Definition: TensorBase.h:537
Eigen::Cond
Definition: TensorMeta.h:15
Eigen::TensorBase< Derived, ReadOnlyAccessors >::pad
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorPaddingOp< const PaddingDimensions, const Derived > pad(const PaddingDimensions &padding) const
Definition: TensorBase.h:914
Eigen::internal::scalar_real_op
Definition: UnaryFunctors.h:213
Eigen::TensorBase< Derived, ReadOnlyAccessors >::shuffle
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorShufflingOp< const Shuffle, const Derived > shuffle(const Shuffle &shfl) const
Definition: TensorBase.h:924
Eigen::TensorBase< Derived, ReadOnlyAccessors >::extract_patches
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorPatchOp< const PatchDims, const Derived > extract_patches(const PatchDims &patch_dims) const
Definition: TensorBase.h:827
Eigen::TensorReshapingOp
Definition: TensorForwardDeclarations.h:76
Eigen::internal::scalar_constant_op
Definition: NullaryFunctors.h:18
Eigen::TensorBase< Derived, ReadOnlyAccessors >::stride
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorStridingOp< const Strides, const Derived > stride(const Strides &strides) const
Definition: TensorBase.h:929
Eigen::TensorBase< Derived, ReadOnlyAccessors >::convolve
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorConvolutionOp< const Dimensions, const Derived, const KernelDerived > convolve(const KernelDerived &kernel, const Dimensions &dims) const
Definition: TensorBase.h:621
Eigen::internal::ArgMaxTupleReducer
Definition: TensorFunctors.h:370
Eigen::TensorGeneratorOp
Tensor generator class.
Definition: TensorForwardDeclarations.h:85
Eigen::TensorBase< Derived, ReadOnlyAccessors >::imag
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_imag_op< Scalar >, const Derived > imag() const
Definition: TensorBase.h:340
Eigen::TensorBase::swap_layout
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorLayoutSwapOp< Derived > swap_layout()
Definition: TensorBase.h:1038
Eigen::internal::scalar_ceil_op
Definition: UnaryFunctors.h:853
Eigen::TensorConvolutionOp
Definition: TensorConvolution.h:259
Eigen::TensorBase::stridedSlice
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorStridingSlicingOp< const StartIndices, const StopIndices, const Strides, const Derived > stridedSlice(const StartIndices &startIndices, const StopIndices &stopIndices, const Strides &strides) const
Definition: TensorBase.h:1077
Eigen::TensorBase< Derived, ReadOnlyAccessors >::bessel_y1
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_bessel_y1_op< Scalar >, const Derived > bessel_y1() const
Definition: TensorBase.h:182
unaryExpr
const EIGEN_DEVICE_FUNC CwiseUnaryOp< CustomUnaryOp, const Derived > unaryExpr(const CustomUnaryOp &func=CustomUnaryOp()) const
Apply a unary operator coefficient-wise.
Definition: CommonCwiseUnaryOps.h:135
Eigen::TensorBase< Derived, ReadOnlyAccessors >::operator*
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_product_op< Scalar >, const Derived, const OtherDerived > operator*(const OtherDerived &other) const
Definition: TensorBase.h:473
Eigen::TensorBase< Derived, ReadOnlyAccessors >::operator-
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_opposite_op< Scalar >, const Derived > operator-() const
Definition: TensorBase.h:80
Eigen::TensorBase< Derived, ReadOnlyAccessors >::customOp
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCustomUnaryOp< const CustomUnaryFunc, const Derived > customOp(const CustomUnaryFunc &op) const
Definition: TensorBase.h:948
Eigen::TensorBase< Derived, ReadOnlyAccessors >::digamma
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_digamma_op< Scalar >, const Derived > digamma() const
Definition: TensorBase.h:134
Eigen::TensorBase< Derived, ReadOnlyAccessors >::stridedSlice
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorStridingSlicingOp< const StartIndices, const StopIndices, const Strides, const Derived > stridedSlice(const StartIndices &startIndices, const StopIndices &stopIndices, const Strides &strides) const
Definition: TensorBase.h:893
Eigen::TensorBase< Derived, ReadOnlyAccessors >::clip
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_clamp_op< Scalar >, const Derived > clip(Scalar min, Scalar max) const
Definition: TensorBase.h:314
Eigen::internal::scalar_difference_op
Definition: BinaryFunctors.h:349
Eigen::internal::scalar_log1p_op
Definition: UnaryFunctors.h:368
Eigen::TensorBase< Derived, ReadOnlyAccessors >::cumprod
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorScanProdOp cumprod(const Index &axis, bool exclusive=false) const
Definition: TensorBase.h:643
Eigen::TensorBase::chip
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorChippingOp< DimId, const Derived > chip(const Index offset) const
Definition: TensorBase.h:1090
Eigen::internal::scalar_mod_op
Definition: TensorFunctors.h:21
Eigen::TensorBase< Derived, ReadOnlyAccessors >::polygamma
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_polygamma_op< Scalar >, const Derived, const OtherDerived > polygamma(const OtherDerived &other) const
Definition: TensorBase.h:248
Eigen::internal::scalar_isinf_op
Definition: UnaryFunctors.h:896
EIGEN_STRONG_INLINE
#define EIGEN_STRONG_INLINE
Definition: Macros.h:917
Eigen::TensorBase::NumDimensions
static const int NumDimensions
Definition: TensorBase.h:980
Eigen::TensorStridingOp
Definition: TensorForwardDeclarations.h:82
Eigen::internal::scalar_bessel_k1_op
Definition: ForwardDeclarations.h:236
Eigen::TensorBase::operator*=
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & operator*=(const OtherDerived &other)
Definition: TensorBase.h:1023
Eigen::internal::scalar_erfc_op
Definition: ForwardDeclarations.h:218
isfinite
#define isfinite(X)
Definition: main.h:95
Eigen::TensorBase::chip
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorChippingOp< Dynamic, const Derived > chip(const Index offset, const Index dim) const
Definition: TensorBase.h:1101
Eigen::TensorCwiseBinaryOp
Definition: TensorExpr.h:196
Eigen::internal::ArgMinTupleReducer
Definition: TensorFunctors.h:398
Eigen::TensorBase< Derived, ReadOnlyAccessors >::customOp
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCustomBinaryOp< const CustomBinaryFunc, const Derived, const OtherDerived > customOp(const OtherDerived &other, const CustomBinaryFunc &op) const
Definition: TensorBase.h:953
Eigen::internal::scalar_min_op
Definition: BinaryFunctors.h:138
Eigen::TensorBase< Derived, ReadOnlyAccessors >::any
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorReductionOp< internal::OrReducer, const DimensionList< Index, NumDimensions >, const typename internal::conditional< internal::is_same< bool, CoeffReturnType >::value, Derived, TensorConversionOp< bool, const Derived > >::type > any() const
Definition: TensorBase.h:738
Eigen::internal::traits< TensorAssignOp< LhsXprType, RhsXprType > >::Scalar
LhsXprType::Scalar Scalar
Definition: TensorAssign.h:27
binaryExpr
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE CwiseBinaryOp< CustomBinaryOp, const Derived, const OtherDerived > binaryExpr(const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > &other, const CustomBinaryOp &func=CustomBinaryOp()) const
Definition: CommonCwiseBinaryOps.h:43
Eigen::TensorBase::setRandom
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & setRandom()
Definition: TensorBase.h:1000
Eigen::TensorSelectOp
Definition: TensorExpr.h:352
Eigen::TensorBase< Derived, ReadOnlyAccessors >::swap_layout
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorLayoutSwapOp< const Derived > swap_layout() const
Definition: TensorBase.h:878
Eigen::Triplet< double >
Eigen::internal::scalar_bessel_j0_op
Definition: ForwardDeclarations.h:230
Eigen::TensorBase< Derived, ReadOnlyAccessors >::any
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorReductionOp< internal::OrReducer, const Dims, const typename internal::conditional< internal::is_same< bool, CoeffReturnType >::value, Derived, TensorConversionOp< bool, const Derived > >::type > any(const Dims &dims) const
Definition: TensorBase.h:732
Eigen::TensorCwiseNullaryOp
Definition: TensorExpr.h:52
Eigen::TensorBase< Derived, ReadOnlyAccessors >::exp
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_exp_op< Scalar >, const Derived > exp() const
Definition: TensorBase.h:278
Eigen::TensorBase< Derived, ReadOnlyAccessors >::select
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorSelectOp< const Derived, const ThenDerived, const ElseDerived > select(const ThenDerived &thenTensor, const ElseDerived &elseTensor) const
Definition: TensorBase.h:599
Eigen::TensorConversionOp
Tensor conversion class. This class makes it possible to vectorize type casting operations when the n...
Definition: TensorConversion.h:176
Eigen::TensorBase
The tensor base class.
Definition: TensorBase.h:973
Eigen::TensorBase< Derived, ReadOnlyAccessors >::igamma
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_igamma_op< Scalar >, const Derived, const OtherDerived > igamma(const OtherDerived &other) const
Definition: TensorBase.h:213
Eigen::TensorBase< Derived, ReadOnlyAccessors >::floor
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_floor_op< Scalar >, const Derived > floor() const
Definition: TensorBase.h:447
Eigen::internal::scalar_bessel_i1_op
Definition: ForwardDeclarations.h:228
Eigen::TensorBase::operator=
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & operator=(const OtherDerived &other)
Definition: TensorBase.h:1160
Eigen::TensorBase< Derived, ReadOnlyAccessors >::operator==
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_cmp_op< Scalar, Scalar, internal::cmp_EQ >, const Derived, const TensorCwiseNullaryOp< internal::scalar_constant_op< Scalar >, const Derived > > operator==(Scalar threshold) const
Definition: TensorBase.h:570
Eigen::TensorBase< Derived, ReadOnlyAccessors >::bessel_y0
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_bessel_y0_op< Scalar >, const Derived > bessel_y0() const
Definition: TensorBase.h:170
Eigen::ReadOnlyAccessors
@ ReadOnlyAccessors
Definition: Constants.h:376
Eigen::TensorBase< Derived, ReadOnlyAccessors >::derived
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE Derived & derived() const
Definition: TensorBase.h:969
Eigen::TensorBase< Derived, ReadOnlyAccessors >::igamma_der_a
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_igamma_der_a_op< Scalar >, const Derived, const OtherDerived > igamma_der_a(const OtherDerived &other) const
Definition: TensorBase.h:220
EIGEN_DEFAULT_COPY_CONSTRUCTOR
#define EIGEN_DEFAULT_COPY_CONSTRUCTOR(CLASS)
Definition: Macros.h:1221
Eigen::TensorTupleReducerOp
Definition: TensorArgMax.h:176
Eigen::TensorBase< Derived, ReadOnlyAccessors >::ceil
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_ceil_op< Scalar >, const Derived > ceil() const
Definition: TensorBase.h:441
offset
set noclip points set clip one set noclip two set bar set border lt lw set xdata set ydata set zdata set x2data set y2data set boxwidth set dummy y set format x g set format y g set format x2 g set format y2 g set format z g set angles radians set nogrid set key title set key left top Right noreverse box linetype linewidth samplen spacing width set nolabel set noarrow set nologscale set logscale x set set pointsize set encoding default set nopolar set noparametric set set set set surface set nocontour set clabel set mapping cartesian set nohidden3d set cntrparam order set cntrparam linear set cntrparam levels auto set cntrparam points set size set set xzeroaxis lt lw set x2zeroaxis lt lw set yzeroaxis lt lw set y2zeroaxis lt lw set tics in set ticslevel set tics set mxtics default set mytics default set mx2tics default set my2tics default set xtics border mirror norotate autofreq set ytics border mirror norotate autofreq set ztics border nomirror norotate autofreq set nox2tics set noy2tics set timestamp bottom norotate offset
Definition: gnuplot_common_settings.hh:64
Eigen::TensorBase< Derived, ReadOnlyAccessors >::bessel_j1
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_bessel_j1_op< Scalar >, const Derived > bessel_j1() const
Definition: TensorBase.h:176
Eigen::TensorBase::Index
DerivedTraits::Index Index
Definition: TensorBase.h:978
Eigen::internal::scalar_boolean_or_op
Definition: BinaryFunctors.h:428
Eigen::TensorBase< Derived, ReadOnlyAccessors >::round
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_round_op< Scalar >, const Derived > round() const
Definition: TensorBase.h:429
Eigen::TensorBase::setRandom
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Derived & setRandom()
Definition: TensorBase.h:996
operator<
bool operator<(const benchmark_t &b1, const benchmark_t &b2)
Definition: benchmark-blocking-sizes.cpp:144
Eigen::TensorChippingOp
Definition: TensorChipping.h:80
Eigen::TensorBase< Derived, ReadOnlyAccessors >::extract_image_patches
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorImagePatchOp< Dynamic, Dynamic, const Derived > extract_image_patches(const Index patch_rows, const Index patch_cols, const Index row_stride, const Index col_stride, const Index in_row_stride, const Index in_col_stride, const Index row_inflate_stride, const Index col_inflate_stride, const Index padding_top, const Index padding_bottom, const Index padding_left, const Index padding_right, const Scalar padding_value) const
Definition: TensorBase.h:843
Eigen::TensorBase< Derived, ReadOnlyAccessors >::operator>=
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_cmp_op< Scalar, Scalar, internal::cmp_GE >, const Derived, const TensorCwiseNullaryOp< internal::scalar_constant_op< Scalar >, const Derived > > operator>=(Scalar threshold) const
Definition: TensorBase.h:565
Eigen::TensorBase::derived
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE Derived & derived() const
Definition: TensorBase.h:1171
Eigen::internal::MinReducer
Definition: TensorFunctors.h:237
Eigen::TensorBase< Derived, ReadOnlyAccessors >::maximum
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorReductionOp< internal::MaxReducer< CoeffReturnType, NanPropagation >, const Dims, const Derived > maximum(const Dims &dims) const
Definition: TensorBase.h:693
Eigen::TensorBase< Derived, ReadOnlyAccessors >::DerivedTraits
internal::traits< Derived > DerivedTraits
Definition: TensorBase.h:32
Eigen::TensorBase< Derived, ReadOnlyAccessors >::operator/
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_quotient_op< Scalar >, const Derived, const OtherDerived > operator/(const OtherDerived &other) const
Definition: TensorBase.h:479
Eigen::internal::scalar_expm1_op
Definition: UnaryFunctors.h:317
Eigen::TensorBase::reverse
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorReverseOp< const ReverseDimensions, Derived > reverse(const ReverseDimensions &rev)
Definition: TensorBase.h:1117
Eigen::TensorBase< Derived, ReadOnlyAccessors >::log
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_log_op< Scalar >, const Derived > log() const
Definition: TensorBase.h:290
Eigen::TensorBase< Derived, ReadOnlyAccessors >::all
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorReductionOp< internal::AndReducer, const DimensionList< Index, NumDimensions >, const typename internal::conditional< internal::is_same< bool, CoeffReturnType >::value, Derived, TensorConversionOp< bool, const Derived > >::type > all() const
Definition: TensorBase.h:725
Eigen::internal::traits< Derived >
Eigen::TensorBase< Derived, ReadOnlyAccessors >::inflate
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorInflationOp< const Strides, const Derived > inflate(const Strides &strides) const
Definition: TensorBase.h:934
Eigen::internal::scalar_logistic_op
Definition: UnaryFunctors.h:1018
Eigen::TensorBase< Derived, ReadOnlyAccessors >::slice
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorSlicingOp< const StartIndices, const Sizes, const Derived > slice(const StartIndices &startIndices, const Sizes &sizes) const
Definition: TensorBase.h:888
EIGEN_STATIC_ASSERT
#define EIGEN_STATIC_ASSERT(CONDITION, MSG)
Definition: StaticAssert.h:127
Eigen::TensorBase< Derived, ReadOnlyAccessors >::tanh
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_tanh_op< Scalar >, const Derived > tanh() const
Definition: TensorBase.h:122
Eigen::operator==
EIGEN_CONSTEXPR EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE bool operator==(const Tuple< U, V > &x, const Tuple< U, V > &y)
Definition: TensorMeta.h:235
Eigen::internal::scalar_opposite_op
Definition: UnaryFunctors.h:22
Eigen::TensorBase::device
TensorDevice< Derived, DeviceType > device(const DeviceType &dev)
Definition: TensorBase.h:1145
Eigen::TensorBase< Derived, ReadOnlyAccessors >::constant
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseNullaryOp< internal::scalar_constant_op< Scalar >, const Derived > constant(const Scalar &value) const
Definition: TensorBase.h:48
Eigen::TensorBase< Derived, ReadOnlyAccessors >::extract_volume_patches
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorVolumePatchOp< Dynamic, Dynamic, Dynamic, const Derived > extract_volume_patches(const Index patch_planes, const Index patch_rows, const Index patch_cols, const Index plane_stride, const Index row_stride, const Index col_stride, const Index plane_inflate_stride, const Index row_inflate_stride, const Index col_inflate_stride, const Index padding_top_z, const Index padding_bottom_z, const Index padding_top, const Index padding_bottom, const Index padding_left, const Index padding_right, const Scalar padding_value=Scalar(0)) const
Definition: TensorBase.h:866
operator/
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE CwiseBinaryOp< internal::scalar_quotient_op< Scalar, typename OtherDerived::Scalar >, const Derived, const OtherDerived > operator/(const EIGEN_CURRENT_STORAGE_BASE_CLASS< OtherDerived > &other) const
Definition: ArrayCwiseBinaryOps.h:21
Eigen::TensorBase< Derived, ReadOnlyAccessors >::bessel_k0
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_bessel_k0_op< Scalar >, const Derived > bessel_k0() const
Definition: TensorBase.h:188
Eigen::TensorLayoutSwapOp
Definition: TensorForwardDeclarations.h:77
Eigen::TensorBase< Derived, ReadOnlyAccessors >::log2
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_log2_op< Scalar >, const Derived > log2() const
Definition: TensorBase.h:302
Eigen::TensorBase< Derived, ReadOnlyAccessors >::operator>
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_cmp_op< Scalar, Scalar, internal::cmp_GT >, const Derived, const OtherDerived > operator>(const OtherDerived &other) const
Definition: TensorBase.h:526
Eigen::TensorBase::concatenate
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorConcatenationOp< const Axis, Derived, OtherDerived > concatenate(const OtherDerived &other, const Axis &axis)
Definition: TensorBase.h:1049
Eigen::TensorBase::Base
TensorBase< Derived, ReadOnlyAccessors > Base
Definition: TensorBase.h:975
Eigen::TensorBase< Derived, ReadOnlyAccessors >::expm1
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_expm1_op< Scalar >, const Derived > expm1() const
Definition: TensorBase.h:284
Eigen::TensorBase< Derived, ReadOnlyAccessors >::sum
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorReductionOp< internal::SumReducer< CoeffReturnType >, const Dims, const Derived > sum(const Dims &dims) const
Definition: TensorBase.h:657
Eigen::internal::conditional
Definition: Meta.h:109
Eigen::TensorSlicingOp
Definition: TensorForwardDeclarations.h:78
Eigen::TensorBase< Derived, ReadOnlyAccessors >::CoeffReturnType
internal::remove_const< Scalar >::type CoeffReturnType
Definition: TensorBase.h:35
Eigen::TensorBase< Derived, ReadOnlyAccessors >::pad
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorPaddingOp< const PaddingDimensions, const Derived > pad(const PaddingDimensions &padding, const Scalar padding_value) const
Definition: TensorBase.h:919
Eigen::TensorContractionOp
Definition: TensorContraction.h:325
Eigen::internal::scalar_cube_op
Definition: UnaryFunctors.h:768
Eigen::TensorBase< Derived, ReadOnlyAccessors >::sum
const TensorReductionOp< internal::SumReducer< CoeffReturnType >, const DimensionList< Index, NumDimensions >, const Derived > sum() const
Definition: TensorBase.h:662
Eigen::internal::scalar_boolean_and_op
Definition: BinaryFunctors.h:409
Eigen::TensorFFTOp
Definition: TensorFFT.h:86
Eigen::TensorBase< Derived, ReadOnlyAccessors >::sqrt
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_sqrt_op< Scalar >, const Derived > sqrt() const
Definition: TensorBase.h:86
Eigen::TensorBase< Derived, ReadOnlyAccessors >::generate
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorGeneratorOp< Generator, const Derived > generate(const Generator &generator) const
Definition: TensorBase.h:66
Eigen::internal::scalar_polygamma_op
Definition: SpecialFunctionsFunctors.h:222
Eigen::TensorBase::DerivedTraits
internal::traits< Derived > DerivedTraits
Definition: TensorBase.h:976
Eigen::TensorBase< Derived, ReadOnlyAccessors >::argmax
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorTupleReducerOp< internal::ArgMaxTupleReducer< Tuple< Index, CoeffReturnType > >, const array< Index, NumDimensions >, const Derived > argmax() const
Definition: TensorBase.h:747
Eigen::TensorBase< Derived, ReadOnlyAccessors >::bessel_i0
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_bessel_i0_op< Scalar >, const Derived > bessel_i0() const
Definition: TensorBase.h:140
Eigen::internal::MeanReducer
Definition: TensorFunctors.h:111
Eigen::TensorBase< Derived, ReadOnlyAccessors >::trace
const TensorTraceOp< const DimensionList< Index, NumDimensions >, const Derived > trace() const
Definition: TensorBase.h:808
Eigen::internal::scalar_gamma_sample_der_alpha_op
Definition: SpecialFunctionsFunctors.h:79
Eigen::TensorEvaluator
A cost model used to limit the number of threads used for evaluating tensor expression.
Definition: TensorEvaluator.h:28
Eigen::internal::scalar_bessel_y0_op
Definition: ForwardDeclarations.h:231
Eigen::TensorBase< Derived, ReadOnlyAccessors >::operator||
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_boolean_or_op, const Derived, const OtherDerived > operator||(const OtherDerived &other) const
Definition: TensorBase.h:503
Eigen::TensorBase::slice
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorSlicingOp< const StartIndices, const Sizes, Derived > slice(const StartIndices &startIndices, const Sizes &sizes)
Definition: TensorBase.h:1071
Eigen::TensorBase< Derived, ReadOnlyAccessors >::scan
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorScanOp< Reducer, const Derived > scan(const Index &axis, const Reducer &reducer, bool exclusive=false) const
Definition: TensorBase.h:650
Eigen::TensorFixedSize
The fixed sized version of the tensor class.
Definition: TensorFixedSize.h:27
Eigen::internal::scalar_bessel_k1e_op
Definition: ForwardDeclarations.h:237
Eigen::internal::is_same
Definition: Meta.h:148
Eigen::internal::scalar_max_op
Definition: BinaryFunctors.h:171
Eigen::TensorBase< Derived, ReadOnlyAccessors >::binaryExpr
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< CustomBinaryOp, const Derived, const OtherDerived > binaryExpr(const OtherDerived &other, const CustomBinaryOp &func) const
Definition: TensorBase.h:454
Eigen::bfloat16_impl::operator>=
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC bool operator>=(const bfloat16 &a, const bfloat16 &b)
Definition: BFloat16.h:233
Eigen::TensorInflationOp
Definition: TensorForwardDeclarations.h:84
Eigen::TensorBroadcastingOp
Definition: TensorBroadcasting.h:69
Eigen::internal::scalar_sum_op
Definition: BinaryFunctors.h:32
Eigen::TensorShufflingOp
Definition: TensorForwardDeclarations.h:81
Eigen::TensorBase< Derived, ReadOnlyAccessors >::bessel_i1e
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_bessel_i1e_op< Scalar >, const Derived > bessel_i1e() const
Definition: TensorBase.h:158
Eigen::min
CleanedUpDerType< DerType >::type() min(const AutoDiffScalar< DerType > &x, const T &y)
Definition: AutoDiffScalar.h:580
Eigen::TensorBase< Derived, ReadOnlyAccessors >::extract_image_patches
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorImagePatchOp< Dynamic, Dynamic, const Derived > extract_image_patches(const Index patch_rows=1, const Index patch_cols=1, const Index row_stride=1, const Index col_stride=1, const Index in_row_stride=1, const Index in_col_stride=1, const PaddingType padding_type=PADDING_SAME, const Scalar padding_value=Scalar(0)) const
Definition: TensorBase.h:833
Eigen::TensorBase< Derived, ReadOnlyAccessors >::zeta
EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_zeta_op< Scalar >, const Derived, const OtherDerived > zeta(const OtherDerived &other) const
Definition: TensorBase.h:241
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EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorFFTOp< const FFT, const Derived, FFTDataType, FFTDirection > fft(const FFT &dims) const
Definition: TensorBase.h:628
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EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorContractionOp< const Dimensions, const Derived, const OtherDerived, const OutputKernel > contract(const OtherDerived &other, const Dimensions &dims, const OutputKernel &output_kernel) const
Definition: TensorBase.h:614
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Definition: TensorMeta.h:18
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Definition: TensorBase.h:423
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Definition: TensorBase.h:1019
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EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_gamma_sample_der_alpha_op< Scalar >, const Derived, const OtherDerived > gamma_sample_der_alpha(const OtherDerived &other) const
Definition: TensorBase.h:227
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Definition: benchGeometry.cpp:23
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Definition: TensorBase.h:636
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EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< CustomUnaryOp, const Derived > unaryExpr(const CustomUnaryOp &func) const
Definition: TensorBase.h:73
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Definition: TensorBase.h:152
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Definition: TensorBase.h:1134
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Definition: TensorBase.h:797
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Definition: TensorBase.h:334
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EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_cmp_op< Scalar, Scalar, internal::cmp_NEQ >, const Derived, const TensorCwiseNullaryOp< internal::scalar_constant_op< Scalar >, const Derived > > operator!=(Scalar threshold) const
Definition: TensorBase.h:575
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Holds information about the various numeric (i.e. scalar) types allowed by Eigen.
Definition: NumTraits.h:232
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Definition: test_callbacks.py:160
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Definition: sparse_permutations.cpp:38
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EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseUnaryOp< internal::scalar_ndtri_op< Scalar >, const Derived > ndtri() const
Definition: TensorBase.h:266
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorShufflingOp< const Shuffle, Derived > shuffle(const Shuffle &shfl)
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Definition: TensorBase.h:686
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Definition: bench_gemm.cpp:46
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Definition: TensorFunctors.h:279
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Definition: TensorRandom.h:124
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The Index type as used for the API.
Definition: Meta.h:74
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Definition: TensorBase.h:712
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EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_max_op< Scalar, Scalar, NanPropagation >, const Derived, const TensorCwiseNullaryOp< internal::scalar_constant_op< Scalar >, const Derived > > cwiseMax(Scalar threshold) const
Definition: TensorBase.h:407
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EIGEN_DEVICE_FUNC const EIGEN_STRONG_INLINE TensorCwiseBinaryOp< internal::scalar_cmp_op< Scalar, Scalar, internal::cmp_GE >, const Derived, const OtherDerived > operator>=(const OtherDerived &other) const
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Definition: TensorExecutor.h:96


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autogenerated on Sat Nov 16 2024 04:05:29