madness::GenTensor< T > Class Template Reference

#include <gentensor.h>

Inheritance diagram for madness::GenTensor< T >:

Collaboration diagram for madness::GenTensor< T >:

Public Types
typedef TensorTypeData< T >::float_scalar_type	float_scalar_type
	C++ typename of the floating point type associated with scalar real type.
typedef TensorTypeData< T >::scalar_type	scalar_type
	C++ typename of the real type associated with a complex type.
Public Types inherited from madness::Tensor< T >
typedef TensorTypeData< T >::float_scalar_type	float_scalar_type
	C++ typename of the floating point type associated with scalar real type.
typedef TensorTypeData< T >::scalar_type	scalar_type
	C++ typename of the real type associated with a complex type.
typedef T	type
	C++ typename of this tensor.

Public Member Functions
	GenTensor ()
	GenTensor ()=default
	empty ctor
	GenTensor (const GenTensor< T > &other)=default
	copy ctor, shallow
	GenTensor (const long ndim, const long *dims, const TensorType &tt)
	GenTensor (const SliceLowRankTensor< T > &other)
	ctor with a SliceLowRankTensor as argument, deep
	GenTensor (const SRConf< T > &)
	GenTensor (const std::vector< long > &dim, const TensorArgs &targs)
	ctor with dimensions; constructs tensor filled with zeros
	GenTensor (const std::vector< long > &dim, const TensorType &tt)
	ctor with dimensions; constructs tensor filled with zeros
	GenTensor (const SVDTensor< T > &other)
	ctor with a SVDTensor as argument, shallow
	GenTensor (const Tensor< T > &other)
	ctor with a regular Tensor, deep
	GenTensor (const Tensor< T > &rhs, const double &thresh, const TensorType &tt)
	ctor with a regular Tensor and arguments, deep
	GenTensor (const Tensor< T > &rhs, const TensorArgs &targs)
	ctor with a regular Tensor and arguments, deep
	GenTensor (const Tensor< T > &t1)
	GenTensor (const Tensor< T > &t1, const TensorArgs &)
	GenTensor (const Tensor< T > &t1, double, const TensorType)
	GenTensor (const TensorTrain< T > &other)
	ctor with a TensorTrain as argument, shallow
	GenTensor (const TensorType &tt, const long k, const long ndim)
	ctor with dimensions; all dims have the same value k
	GenTensor (const TensorType)
	GenTensor (long nd, const long d[], const TensorType &)
	GenTensor (std::vector< long > v, const TensorArgs &)
	GenTensor (std::vector< long > v, const TensorType &)
void	add_SVD (const GenTensor &other, const double &thresh)
void	add_SVD (const GenTensor< T > &rhs, const double &)
SRConf< T >	config () const
GenTensor	convert (const TensorArgs &) const
GenTensor	convert (const TensorArgs &targs) const
	convert this to a new LowRankTensor of given tensor type
GenTensor &	convert_inplace (const TensorArgs &targs)
long	dim (const int i) const
	return the number of entries in dimension i
const long *	dims () const
	return the number of entries in dimension i
GenTensor< T > &	emul (const GenTensor< T > &other)
	Inplace multiply by corresponding elements of argument Tensor.
Tensor< T > &	full_tensor ()
Tensor< T > &	full_tensor ()
const Tensor< T > &	full_tensor () const
Tensor< T >	full_tensor () const
Tensor< T >	full_tensor_copy ()
Tensor< T >	full_tensor_copy () const
Tensor< T >	full_tensor_copy () const
GenTensor &	gaxpy (const T alpha, const GenTensor &other, const T beta)
GenTensor &	gaxpy (const T alpha, std::array< Slice, TENSOR_MAXDIM > s0, const GenTensor &other, const T beta, std::array< Slice, TENSOR_MAXDIM > s1)
SRConf< T >	get_configs (const int &, const int &) const
SVDTensor< T > &	get_svdtensor ()
SVDTensor< T > &	get_svdtensor ()
const SVDTensor< T > &	get_svdtensor () const
const SVDTensor< T > &	get_svdtensor () const
Tensor< T > &	get_tensor ()
Tensor< T > &	get_tensor ()
const Tensor< T > &	get_tensor () const
const Tensor< T > &	get_tensor () const
SVDTensor< T > &	get_tensortrain ()
TensorTrain< T > &	get_tensortrain ()
const SVDTensor< T > &	get_tensortrain () const
const TensorTrain< T > &	get_tensortrain () const
bool	has_data () const
bool	has_data () const
bool	has_no_data () const
bool	has_no_data () const
int	index () const
bool	is_assigned () const
bool	is_assigned () const
constexpr bool	is_full_tensor () const
constexpr bool	is_full_tensor () const
bool	is_of_tensortype (const TensorType &tt) const
bool	is_of_tensortype (const TensorType &tt) const
constexpr bool	is_svd_tensor () const
constexpr bool	is_svd_tensor () const
constexpr bool	is_tensortrain () const
constexpr bool	is_tensortrain () const
size_t	nCoeff () const
long	nCoeff () const
long	ndim () const
void	normalize ()
void	normalize ()
float_scalar_type	normf () const
template<class Q>
	operator GenTensor< Q > () const
	Type conversion makes a deep copy.
template<class Q>
	operator GenTensor< Q > () const
	Type conversion makes a deep copy.
SliceLowRankTensor< T >	operator() (const std::vector< Slice > &s)
	general slicing, shallow; for temporary use only!
const SliceLowRankTensor< T >	operator() (const std::vector< Slice > &s) const
	general slicing, shallow; for temporary use only!
template<typename Q>
GenTensor< TENSOR_RESULT_TYPE(T, Q)>	operator* (const Q &x) const
	multiply with a number
GenTensor	operator+ (const GenTensor &other)
GenTensor	operator+ (const SliceLowRankTensor< T > &other)
GenTensor &	operator+= (const GenTensor &other)
GenTensor &	operator+= (const SliceLowRankTensor< T > &other)
GenTensor	operator- (const GenTensor &other)
GenTensor &	operator-= (const GenTensor &other)
GenTensor &	operator-= (const SliceLowRankTensor< T > &other)
GenTensor &	operator= (const GenTensor< T > &other)
	shallow assignment operator
GenTensor &	operator= (const SliceLowRankTensor< T > &other)
	deep assignment with slices: g0 = g1(s)
GenTensor &	operator= (const SVDTensor< T > &other)
	deep assignment operator
GenTensor &	operator= (const T &number)
	assign a number to this tensor
GenTensor &	operator= (const Tensor< T > &other)
	deep assignment operator
GenTensor &	operator= (const TensorTrain< T > &other)
	deep assignment operator
const BaseTensor *	ptr () const
	might return a NULL pointer!
long	rank () const
long	rank () const
size_t	real_size () const
long	real_size () const
Tensor< T >	reconstruct_tensor () const
Tensor< T >	reconstruct_tensor () const
	reconstruct this to return a full tensor
void	reduce_rank (const double &)
void	reduce_rank (const double &thresh)
template<typename Q>
IsSupported< TensorTypeData< Q >, GenTensor< T > & >::type	scale (Q fac)
	Inplace multiplication by scalar of supported type (legacy name).
long	size () const
double	svd_normf () const
float_scalar_type	svd_normf () const
template<typename Q>
	TENSOR_RESULT_TYPE (T, Q) trace_conj(const GenTensor< Q > &rhs) const
	returns the trace of <this|rhs>
TensorType	tensor_type () const
TensorType	tensor_type () const
	return the tensor type
std::string	what_am_i () const
std::string	what_am_i () const
Public Member Functions inherited from madness::Tensor< T >
	Tensor ()
	Default constructor does not allocate any data and sets ndim=-1, size=0, _p=0, and id.
	Tensor (const std::vector< long > &d, bool dozero=true)
	Create and optionally zero new n-d tensor. This is the most general constructor.
	Tensor (const Tensor< T > &t)
	Copy constructor is shallow (same as assignment).
	Tensor (long d0)
	Create and zero new 1-d tensor.
	Tensor (long d0, long d1)
	Create and zero new 2-d tensor.
	Tensor (long d0, long d1, long d2)
	Create and zero new 3-d tensor.
	Tensor (long d0, long d1, long d2, long d3)
	Create and zero new 4-d tensor.
	Tensor (long d0, long d1, long d2, long d3, long d4)
	Create and zero new 5-d tensor.
	Tensor (long d0, long d1, long d2, long d3, long d4, long d5)
	Create and zero new 6-d tensor.
	Tensor (long nd, const long d[], bool dozero=true)
	Politically incorrect general constructor.
virtual	~Tensor ()
scalar_type	absmax (long *ind=0) const
	Return the absolute maximum value (and if ind is non-null, its index) in the Tensor.
scalar_type	absmin (long *ind=0) const
	Return the absolute minimum value (and if ind is non-null, its index) in the Tensor.
BaseTensor *	base ()
	Returns a pointer to the base class.
const BaseTensor *	base () const
	Returns a pointer to the base class.
template<class Q>
TensorIterator< T, Q >	binary_iterator (const Tensor< Q > &q, long iterlevel=0, bool optimize=true, bool fusedim=true, long jdim=default_jdim) const
	Return iterator over two tensors.
void	clear ()
	Frees all memory and resests to state of default constructor.
template<class Q>
bool	conforms (const Tensor< Q > &t) const
	Test if *this and t conform.
Tensor< T > &	conj ()
	Inplace complex conjugate.
Tensor< T >	cycledim (long nshift, long start, long end)
	Returns new view/tensor cycling the sub-dimensions (start,...,end) with shift steps.
const Tensor< T >	cycledim (long nshift, long start, long end) const
	Returns new view/tensor cycling the sub-dimensions (start,...,end) with shift steps.
Tensor< T > &	emul (const Tensor< T > &t)
	Inplace multiply by corresponding elements of argument Tensor.
const TensorIterator< T > &	end () const
	End point for forward iteration.
Tensor< T > &	fill (T x)
	Inplace fill with a scalar (legacy name).
Tensor< T > &	fillindex ()
	Inplace fill with the index of each element.
Tensor< T > &	fillrandom ()
	Inplace fill with random values ( [0,1] for floats, [0,MAXSIZE] for integers).
Tensor< T >	flat ()
	Returns new view/tensor rehshaping to flat (1-d) tensor.
const Tensor< T >	flat () const
	Returns new view/tensor rehshaping to flat (1-d) tensor.
Tensor< T >	fusedim (long i)
	Returns new view/tensor fusing contiguous dimensions i and i+1.
const Tensor< T >	fusedim (long i) const
	Returns new view/tensor fusing contiguous dimensions i and i+1.
Tensor< T > &	gaxpy (T alpha, const Tensor< T > &other, T beta)
	Inplace generalized saxpy ... this = this*alpha + other*beta.
bool	has_data () const
Tensor< T >	mapdim (const std::vector< long > &map)
	Returns new view/tensor permuting the dimensions.
const Tensor< T >	mapdim (const std::vector< long > &map) const
	Returns new view/tensor permuting the dimensions.
double_complex	max (long *ind) const
float_complex	max (long *ind) const
double_complex	max (long *ind) const
float_complex	max (long *ind) const
T	max (long *ind=0) const
	Return the maximum value (and if ind is non-null, its index) in the Tensor.
double_complex	min (long *ind) const
float_complex	min (long *ind) const
double_complex	min (long *ind) const
float_complex	min (long *ind) const
T	min (long *ind=0) const
	Return the minimum value (and if ind is non-null, its index) in the Tensor.
float_scalar_type	normf () const
	Returns the Frobenius norm of the tensor.
	operator bool () const noexcept
	convenience for testing if tensor is empty (i.e., has no data)
template<class Q>
	operator Tensor< Q > () const
	Type conversion makes a deep copy.
bool	operator! () const noexcept
	convenience for testing if tensor is empty (i.e., has no data)
T &	operator() (const long ind[])
	Politically incorrect general indexing operation without bounds checking.
const T &	operator() (const long ind[]) const
	Politically incorrect general indexing operation without bounds checking.
SliceTensor< T >	operator() (const Slice &s0)
	Return a 1d SliceTensor that views the specified range of the 1d Tensor.
const Tensor< T >	operator() (const Slice &s0) const
	Return a 1d SliceTensor that views the specified range of the 1d Tensor.
SliceTensor< T >	operator() (const Slice &s0, const Slice &s1)
	Return a 2d SliceTensor that views the specified range of the 2d Tensor.
const Tensor< T >	operator() (const Slice &s0, const Slice &s1) const
	Return a 2d constant Tensor that views the specified range of the 2d Tensor.
SliceTensor< T >	operator() (const Slice &s0, const Slice &s1, const Slice &s2)
	Return a 3d SliceTensor that views the specified range of the 3d Tensor.
const Tensor< T >	operator() (const Slice &s0, const Slice &s1, const Slice &s2) const
	Return a 3d constant Tensor that views the specified range of the 3d Tensor.
SliceTensor< T >	operator() (const Slice &s0, const Slice &s1, const Slice &s2, const Slice &s3)
	Return a 1-4d SliceTensor that views the specified range of the 4d Tensor.
const Tensor< T >	operator() (const Slice &s0, const Slice &s1, const Slice &s2, const Slice &s3) const
	Return a 1-4d constant Tensor that views the specified range of the 4d Tensor.
SliceTensor< T >	operator() (const Slice &s0, const Slice &s1, const Slice &s2, const Slice &s3, const Slice &s4)
	Return a 1-5d SliceTensor that views the specified range of the 5d Tensor.
const Tensor< T >	operator() (const Slice &s0, const Slice &s1, const Slice &s2, const Slice &s3, const Slice &s4) const
	Return a 1-5d constant Tensor that views the specified range of the 5d Tensor.
SliceTensor< T >	operator() (const Slice &s0, const Slice &s1, const Slice &s2, const Slice &s3, const Slice &s4, const Slice &s5)
	Return a 1-6d SliceTensor that views the specified range of the 6d Tensor.
const Tensor< T >	operator() (const Slice &s0, const Slice &s1, const Slice &s2, const Slice &s3, const Slice &s4, const Slice &s5) const
	Return a 1-6d constant Tensor that views the specified range of the 6d Tensor.
SliceTensor< T >	operator() (const Slice &s0, const Slice &s1, long k)
	Return a 2d SliceTensor that views the specified range of the 3d Tensor.
const Tensor< T >	operator() (const Slice &s0, const Slice &s1, long k) const
	Return a 2d constant Tensor that views the specified range of the 3d Tensor.
SliceTensor< T >	operator() (const Slice &s0, long j)
	Return a 1d SliceTensor that views the specified range of the 2d Tensor.
const Tensor< T >	operator() (const Slice &s0, long j) const
	Return a 1d constant Tensor that views the specified range of the 2d Tensor.
SliceTensor< T >	operator() (const Slice &s0, long j, const Slice &s2)
	Return a 2d SliceTensor that views the specified range of the 3d Tensor.
const Tensor< T >	operator() (const Slice &s0, long j, const Slice &s2) const
	Return a 2d constant Tensor that views the specified range of the 3d Tensor.
SliceTensor< T >	operator() (const Slice &s0, long j, long k)
	Return a 1d SliceTensor that views the specified range of the 3d Tensor.
const Tensor< T >	operator() (const Slice &s0, long j, long k) const
	Return a 1d constant Tensor that views the specified range of the 3d Tensor.
SliceTensor< T >	operator() (const std::array< Slice, TENSOR_MAXDIM > &s)
	General slicing operation.
const Tensor< T >	operator() (const std::array< Slice, TENSOR_MAXDIM > &s) const
	General slicing operation (const).
T &	operator() (const std::vector< long > ind)
	General indexing operation with bounds checking.
const T &	operator() (const std::vector< long > ind) const
	General indexing operation with bounds checking.
SliceTensor< T >	operator() (const std::vector< Slice > &s)
	General slicing operation.
const Tensor< T >	operator() (const std::vector< Slice > &s) const
	General slicing operation (const).
T &	operator() (long i)
	1-d indexing operation without bounds checking.
const T &	operator() (long i) const
	1-d indexing operation without bounds checking.
SliceTensor< T >	operator() (long i, const Slice &s1)
	Return a 1d SliceTensor that views the specified range of the 2d Tensor.
const Tensor< T >	operator() (long i, const Slice &s1) const
	Return a 1d SliceTensor that views the specified range of the 2d Tensor.
SliceTensor< T >	operator() (long i, const Slice &s1, const Slice &s2)
	Return a 2d SliceTensor that views the specified range of the 3d Tensor.
const Tensor< T >	operator() (long i, const Slice &s1, const Slice &s2) const
	Return a 2d constant Tensor that views the specified range of the 3d Tensor.
SliceTensor< T >	operator() (long i, const Slice &s1, long k)
	Return a 1d SliceTensor that views the specified range of the 3d Tensor.
const Tensor< T >	operator() (long i, const Slice &s1, long k) const
	Return a 1d constant Tensor that views the specified range of the 3d Tensor.
T &	operator() (long i, long j)
	2-d indexing operation without bounds checking.
const T &	operator() (long i, long j) const
	2-d indexing operation without bounds checking.
SliceTensor< T >	operator() (long i, long j, const Slice &s2)
	Return a 1d SliceTensor that views the specified range of the 3d Tensor.
const Tensor< T >	operator() (long i, long j, const Slice &s2) const
	Return a 1d constant Tensor that views the specified range of the 3d Tensor.
T &	operator() (long i, long j, long k)
	3-d indexing operation without bounds checking.
const T &	operator() (long i, long j, long k) const
	3-d indexing operation without bounds checking.
T &	operator() (long i, long j, long k, long l)
	4-d indexing operation without bounds checking.
const T &	operator() (long i, long j, long k, long l) const
	4-d indexing operation without bounds checking.
T &	operator() (long i, long j, long k, long l, long m)
	5-d indexing operation without bounds checking.
const T &	operator() (long i, long j, long k, long l, long m) const
	5-d indexing operation without bounds checking.
T &	operator() (long i, long j, long k, long l, long m, long n)
	6-d indexing operation without bounds checking.
const T &	operator() (long i, long j, long k, long l, long m, long n) const
	6-d indexing operation without bounds checking.
template<typename Q>
IsSupported< TensorTypeData< Q >, Tensor< TENSOR_RESULT_TYPE(T, Q)> >::type	operator* (const Q &x) const
	Multiplication of tensor by a scalar of a supported type to produce a new tensor.
template<typename Q>
IsSupported< TensorTypeData< Q >, Tensor< T > & >::type	operator*= (const Q &x)
	Inplace multiplication by scalar of supported type.
template<typename Q>
IsSupported< TensorTypeData< Q >, Tensor< TENSOR_RESULT_TYPE(T, Q)> >::type	operator+ (const Q &x) const
	Add a scalar of the same type to all elements of a tensor producing a new tensor.
template<typename Q>
Tensor< TENSOR_RESULT_TYPE(T, Q) >	operator+ (const Tensor< Q > &t) const
	Addition of two tensors to produce a new tensor.
template<typename Q>
IsSupported< TensorTypeData< Q >, Tensor< T > & >::type	operator+= (const Q &x)
	Inplace increment by scalar of supported type.
template<typename Q>
Tensor< T > &	operator+= (const Tensor< Q > &t)
	Inplace addition of two tensors.
Tensor< T >	operator- () const
	Unary negation producing a new tensor.
template<typename Q>
IsSupported< TensorTypeData< Q >, Tensor< TENSOR_RESULT_TYPE(T, Q)> >::type	operator- (const Q &x) const
	Subtract a scalar of the same type from all elements producing a new tensor.
template<typename Q>
Tensor< TENSOR_RESULT_TYPE(T, Q) >	operator- (const Tensor< Q > &t) const
	Subtraction of two tensors to produce a new tensor.
template<typename Q>
IsSupported< TensorTypeData< Q >, Tensor< T > & >::type	operator-= (const Q &x)
	Inplace decrement by scalar of supported type.
template<typename Q>
Tensor< T > &	operator-= (const Tensor< Q > &t)
	Inplace subtraction of two tensors.
template<typename Q>
IsSupported< TensorTypeData< Q >, Tensor< TENSOR_RESULT_TYPE(T, Q)> >::type	operator/ (const Q &x) const
	Divide tensor by a scalar of a supported type to produce a new tensor.
Tensor< T > &	operator= (const Tensor< T > &t)
	Assignment is shallow (same as copy constructor).
Tensor< T > &	operator= (T x)
	Inplace fill tensor with scalar.
T &	operator[] (long i)
	1-d indexing operation using [] without bounds checking.
const T &	operator[] (long i) const
	1-d indexing operation using [] without bounds checking.
T	product () const
	Return the product of all elements of the tensor.
T *	ptr ()
	Returns a pointer to the internal data.
const T *	ptr () const
	Returns a pointer to the internal data.
Tensor< T >	reshape (const std::vector< long > &d)
	Returns new view/tensor reshaping size/number of dimensions to conforming tensor.
const Tensor< T >	reshape (const std::vector< long > &d) const
	Returns new view/tensor reshaping size/number of dimensions to conforming tensor.
Tensor< T >	reshape (int ndimnew, const long *d)
	Returns new view/tensor reshaping size/number of dimensions to conforming tensor.
const Tensor< T >	reshape (int ndimnew, const long *d) const
	Returns new view/tensor reshaping size/number of dimensions to conforming tensor.
Tensor< T >	reshape (long dim0)
	Returns new view/tensor rehapings to conforming 1-d tensor with given dimension.
const Tensor< T >	reshape (long dim0) const
	Returns new view/tensor rehapings to conforming 1-d tensor with given dimension.
Tensor< T >	reshape (long dim0, long dim1)
	Returns new view/tensor rehaping to conforming 2-d tensor with given dimensions.
const Tensor< T >	reshape (long dim0, long dim1) const
	Returns new view/tensor rehaping to conforming 2-d tensor with given dimensions.
Tensor< T >	reshape (long dim0, long dim1, long dim2)
	Returns new view/tensor rehaping to conforming 3-d tensor with given dimensions.
const Tensor< T >	reshape (long dim0, long dim1, long dim2) const
	Returns new view/tensor rehaping to conforming 3-d tensor with given dimensions.
Tensor< T >	reshape (long dim0, long dim1, long dim2, long dim3)
	Returns new view/tensor rehaping to conforming 4-d tensor with given dimensions.
const Tensor< T >	reshape (long dim0, long dim1, long dim2, long dim3) const
	Returns new view/tensor rehaping to conforming 4-d tensor with given dimensions.
Tensor< T >	reshape (long dim0, long dim1, long dim2, long dim3, long dim4)
	Returns new view/tensor rehaping to conforming 5-d tensor with given dimensions.
const Tensor< T >	reshape (long dim0, long dim1, long dim2, long dim3, long dim4) const
	Returns new view/tensor rehaping to conforming 5-d tensor with given dimensions.
Tensor< T >	reshape (long dim0, long dim1, long dim2, long dim3, long dim4, long dim5)
	Returns new view/tensor rehaping to conforming 6-d tensor with given dimensions.
const Tensor< T >	reshape (long dim0, long dim1, long dim2, long dim3, long dim4, long dim5) const
	Returns new view/tensor rehaping to conforming 6-d tensor with given dimensions.
template<typename Q>
IsSupported< TensorTypeData< Q >, Tensor< T > & >::type	scale (Q x)
	Inplace multiplication by scalar of supported type (legacy name).
Tensor< T > &	screen (double x)
	Inplace set elements of *this less than x in absolute magnitude to zero.
Tensor< T >	splitdim (long i, long dimi0, long dimi1)
	Returns new view/tensor splitting dimension i as dimi0*dimi1 to produce conforming d+1 dimension tensor.
const Tensor< T >	splitdim (long i, long dimi0, long dimi1) const
	Returns new view/tensor splitting dimension i as dimi0*dimi1 to produce conforming d+1 dimension tensor.
T	sum () const
	Returns the sum of all elements of the tensor.
T	sumsq () const
	Returns the sum of the squares of the elements.
Tensor< T >	swapdim (long idim, long jdim)
	Returns new view/tensor swaping dimensions i and j.
const Tensor< T >	swapdim (long idim, long jdim) const
	Returns new view/tensor swaping dimensions i and j.
template<class Q>
	TENSOR_RESULT_TYPE (T, Q) trace(const Tensor< Q > &t) const
	Return the trace of two tensors (no complex conjugate invoked).
template<class Q>
	TENSOR_RESULT_TYPE (T, Q) trace_conj(const Tensor< Q > &t) const
	Return the trace of two tensors with complex conjugate of the leftmost (i.e., this).
template<class Q, class R>
TensorIterator< T, Q, R >	ternary_iterator (const Tensor< Q > &q, const Tensor< R > &r, long iterlevel=0, bool optimize=true, bool fusedim=true, long jdim=default_jdim) const
	Return iterator over three tensors.
TensorIterator< T >	unary_iterator (long iterlevel=0, bool optimize=true, bool fusedim=true, long jdim=default_jdim) const
	Return iterator over single tensor.
template<typename opT>
Tensor< T > &	unaryop (opT &op)
	Inplace apply a unary function to each element of the tensor.
Public Member Functions inherited from madness::BaseTensor
	BaseTensor ()
virtual	~BaseTensor ()
bool	conforms (const BaseTensor *t) const
	Returns true if this and *t are the same shape and size.
long	dim (int i) const
	Returns the size of dimension i.
const long *	dims () const
	Returns the array of tensor dimensions.
long	id () const
	Returns the typeid of the tensor (c.f., TensorTypeData<T> ).
bool	iscontiguous () const
	Returns true if the tensor refers to contiguous memory locations.
long	ndim () const
	Returns the number of dimensions in the tensor.
long	size () const
	Returns the number of elements in the tensor.
long	stride (int i) const
	Returns the stride associated with dimension i.
const long *	strides () const
	Returns the array of tensor strides.

Static Public Member Functions
static double	fac_reduce ()
	return the additional safety for rank reduction
static double	fac_reduce ()
static double	facReduce ()
Static Public Member Functions inherited from madness::Tensor< T >
static bool	bounds_checking ()
	Return true if bounds checking was enabled at compile time.
Static Public Member Functions inherited from madness::BaseTensor
static int	get_instance_count ()
	Returns the count of all current instances of tensors & slice tensors of all types.

Private Attributes
std::variant< std::shared_ptr< Tensor< T > >, std::shared_ptr< SVDTensor< T > >, std::shared_ptr< TensorTrain< T > > >	tensor
	holding the implementation of the low rank tensor representations

Friends
GenTensor	copy (const GenTensor &other)
	deep copy
template<typename R, typename Q>
GenTensor< TENSOR_RESULT_TYPE(R, Q)>	general_transform (const GenTensor< R > &t, const Tensor< Q > c[])
	Transform all dimensions of the tensor t by distinct matrices c.
template<typename Q, typename R>
bool	is_same_tensor_type (const GenTensor< R > &rhs, const GenTensor< Q > &lhs)
class	SliceLowRankTensor< T >
template<typename R, typename Q>
GenTensor< TENSOR_RESULT_TYPE(R, Q)>	transform (const GenTensor< R > &t, const Tensor< Q > &c)
	Transform all dimensions of the tensor t by the matrix c.
template<typename R, typename Q>
GenTensor< TENSOR_RESULT_TYPE(R, Q)>	transform_dir (const GenTensor< R > &t, const Tensor< Q > &c, const int axis)
	Transforms one dimension of the tensor t by the matrix c, returns new contiguous tensor.

Additional Inherited Members
Protected Member Functions inherited from madness::Tensor< T >
void	allocate (long nd, const long d[], bool dozero)
void	deallocate ()
Protected Member Functions inherited from madness::BaseTensor
void	cycledim_inplace (long shift, long start, long end)
	Cyclic shift of dimensions.
void	flat_inplace ()
	Reshapes the tensor inplace into 1D.
void	fusedim_inplace (long i)
	Fuses dimensions i and i+1.
void	mapdim_inplace (const std::vector< long > &map)
	General permutation of dimensions.
void	reshape_inplace (const std::vector< long > &d)
	Reshapes the tensor inplace.
void	reshape_inplace (int ndimnew, const long *d)
	Reshapes the tensor inplace.
void	set_dims_and_size (long nd, const long d[])
void	splitdim_inplace (long i, long dimi0, long dimi1)
	Splits dimension i.
void	swapdim_inplace (long i, long j)
	Swaps the dimensions.
Protected Attributes inherited from madness::Tensor< T >
T *MADNESS_RESTRICT	_p
TENSOR_SHARED_PTR< T >	_shptr
Protected Attributes inherited from madness::BaseTensor
long	_dim [TENSOR_MAXDIM]
	Size of each dimension.
long	_id
	Id from TensorTypeData<T> in type_data.h.
long	_ndim
	Number of dimensions (-1=invalid; 0=no supported; >0=tensor).
long	_size
	Number of elements in the tensor.
long	_stride [TENSOR_MAXDIM]
	Increment between elements in each dimension.

Member Typedef Documentation

float_scalar_type

template<typename T>

typedef TensorTypeData<T>::float_scalar_type madness::GenTensor< T >::float_scalar_type

C++ typename of the floating point type associated with scalar real type.

scalar_type

template<typename T>

typedef TensorTypeData<T>::scalar_type madness::GenTensor< T >::scalar_type

C++ typename of the real type associated with a complex type.

Constructor & Destructor Documentation

GenTensor() [1/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( )

inline

References madness::Tensor< T >::Tensor().

Referenced by GenTensor(), GenTensor(), GenTensor(), GenTensor(), GenTensor(), GenTensor(), madness::SliceLowRankTensor< T >::SliceLowRankTensor(), madness::SliceLowRankTensor< T >::SliceLowRankTensor(), add_SVD(), add_SVD(), convert(), convert(), convert_inplace(), copy, madness::SliceLowRankTensor< T >::copy, emul(), gaxpy(), gaxpy(), madness::SliceLowRankTensor< T >::gaxpy(), general_transform, is_same_tensor_type, operator GenTensor< Q >(), operator*(), operator+(), operator+(), operator+=(), operator+=(), madness::SliceLowRankTensor< T >::operator+=(), operator-(), operator-=(), operator-=(), madness::SliceLowRankTensor< T >::operator-=(), operator=(), operator=(), operator=(), operator=(), operator=(), operator=(), madness::SliceLowRankTensor< T >::operator=(), SliceLowRankTensor< T >, TENSOR_RESULT_TYPE(), and transform.

GenTensor() [2/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const Tensor< T > & t1 )

inline

References madness::Tensor< T >::Tensor().

GenTensor() [3/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const Tensor< T > & t1, const TensorArgs &  )

inline

References madness::Tensor< T >::Tensor().

GenTensor() [4/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const Tensor< T > & t1, double , const TensorType  )

inline

References madness::Tensor< T >::Tensor().

GenTensor() [5/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const TensorType )

inline

References madness::Tensor< T >::Tensor().

GenTensor() [6/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( std::vector< long > v, const TensorType &  )

inline

References madness::Tensor< T >::Tensor(), and v.

GenTensor() [7/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( std::vector< long > v, const TensorArgs &  )

inline

References madness::Tensor< T >::Tensor(), and v.

GenTensor() [8/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const SRConf< T > & )

inline

References madness::Tensor< T >::Tensor(), and MADNESS_EXCEPTION.

GenTensor() [9/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( long nd, const long d[], const TensorType &  )

inline

References madness::Tensor< T >::Tensor(), and d.

GenTensor() [10/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( )

default

empty ctor

GenTensor() [11/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const GenTensor< T > & other )

default

copy ctor, shallow

References GenTensor().

GenTensor() [12/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const long ndim, const long * dims, const TensorType & tt )

inline

References madness::Tensor< T >::Tensor(), dims(), madness::FunctionDefaults< NDIM >::tt, ndim(), tensor, madness::TT_2D, madness::TT_FULL, and madness::TT_TENSORTRAIN.

GenTensor() [13/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const std::vector< long > & dim, const TensorType & tt )

inline

ctor with dimensions; constructs tensor filled with zeros

References GenTensor(), dim(), madness::FunctionDefaults< NDIM >::tt, and size().

GenTensor() [14/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const std::vector< long > & dim, const TensorArgs & targs )

inline

ctor with dimensions; constructs tensor filled with zeros

References GenTensor(), dim(), and madness::FunctionDefaults< NDIM >::tt.

GenTensor() [15/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const TensorType & tt, const long k, const long ndim )

inline

ctor with dimensions; all dims have the same value k

References GenTensor(), madness::FunctionDefaults< NDIM >::k, madness::FunctionDefaults< NDIM >::tt, and ndim().

GenTensor() [16/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const Tensor< T > & rhs, const double & thresh, const TensorType & tt )

inline

ctor with a regular Tensor and arguments, deep

References GenTensor(), madness::Tensor< T >::Tensor(), madness::FunctionDefaults< NDIM >::thresh, and madness::FunctionDefaults< NDIM >::tt.

GenTensor() [17/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const Tensor< T > & rhs, const TensorArgs & targs )

inline

ctor with a regular Tensor and arguments, deep

References GenTensor(), madness::Tensor< T >::Tensor(), convert(), copy, facReduce(), madness::FunctionDefaults< NDIM >::tt, MADNESS_EXCEPTION, madness::BaseTensor::size(), tensor, madness::TensorArgs::thresh, madness::TensorArgs::tt, madness::TT_2D, madness::TT_FULL, and madness::TT_TENSORTRAIN.

GenTensor() [18/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const Tensor< T > & other )

inline

ctor with a regular Tensor, deep

References madness::Tensor< T >::Tensor(), and tensor.

GenTensor() [19/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const TensorTrain< T > & other )

inline

ctor with a TensorTrain as argument, shallow

References tensor.

GenTensor() [20/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const SVDTensor< T > & other )

inline

ctor with a SVDTensor as argument, shallow

References tensor.

GenTensor() [21/21]

template<typename T>

madness::GenTensor< T >::GenTensor ( const SliceLowRankTensor< T > & other )

inline

ctor with a SliceLowRankTensor as argument, deep

Member Function Documentation

add_SVD() [1/2]

template<typename T>

void madness::GenTensor< T >::add_SVD ( const GenTensor< T > & other, const double & thresh )

inline

References GenTensor(), facReduce(), madness::FunctionDefaults< NDIM >::thresh, get_svdtensor(), get_tensor(), get_tensortrain(), is_full_tensor(), is_svd_tensor(), is_tensortrain(), and MADNESS_EXCEPTION.

add_SVD() [2/2]

template<typename T>

void madness::GenTensor< T >::add_SVD ( const GenTensor< T > & rhs, const double &  )

inline

References GenTensor().

Referenced by madness::FunctionNode< T, NDIM >::accumulate(), and madness::FunctionNode< T, NDIM >::consolidate_buffer().

config()

template<typename T>

SRConf< T > madness::GenTensor< T >::config ( ) const

inline

References MADNESS_EXCEPTION.

Referenced by madness::FunctionImpl< T, LDIM >::do_project_out().

convert() [1/2]

template<typename T>

GenTensor madness::GenTensor< T >::convert ( const TensorArgs & ) const

inline

References GenTensor(), and copy.

Referenced by GenTensor(), madness::FunctionImpl< T, NDIM >::assemble_coefficients(), madness::FunctionImpl< T, LDIM >::do_apply_directed_screening(), madness::FunctionImpl< T, LDIM >::do_apply_kernel3(), madness::FunctionImpl< T, NDIM >::multiply_op< LDIM >::operator()(), and test_convert().

convert() [2/2]

template<typename T>

GenTensor madness::GenTensor< T >::convert ( const TensorArgs & targs ) const

inline

convert this to a new LowRankTensor of given tensor type

References GenTensor(), convert_inplace(), copy, get_tensor(), is_full_tensor(), is_of_tensortype(), and madness::TensorArgs::tt.

convert_inplace()

template<typename T>

GenTensor & madness::GenTensor< T >::convert_inplace ( const TensorArgs & targs )

inline

References GenTensor(), madness::Tensor< T >::Tensor(), copy, madness::BaseTensor::dim(), dims(), full_tensor_copy(), madness::FunctionDefaults< NDIM >::tt, get_tensor(), get_tensortrain(), index(), is_assigned(), is_full_tensor(), is_of_tensortype(), is_svd_tensor(), is_tensortrain(), m, MADNESS_ASSERT, MADNESS_EXCEPTION, madness::BaseTensor::ndim(), ndim(), madness::SRConf< T >::normalize(), madness::print(), rank(), madness::Tensor< T >::reshape(), madness::BaseTensor::size(), madness::TensorArgs::thresh, madness::transpose(), madness::TensorArgs::tt, madness::TT_2D, madness::TT_FULL, and madness::TT_TENSORTRAIN.

Referenced by convert().

dim()

template<typename T>

long madness::GenTensor< T >::dim ( const int i ) const

inline

return the number of entries in dimension i

References madness::BaseTensor::dim(), is_assigned(), MADNESS_ASSERT, and ptr().

Referenced by GenTensor(), GenTensor(), madness::SeparatedConvolution< double, 3 >::apply2(), madness::SeparatedConvolution< double, 3 >::apply2_lowdim(), madness::FunctionImpl< T, LDIM >::dirac_convolution_op(), madness::FunctionImpl< T, LDIM >::do_project_out(), madness::SeparatedConvolution< double, 3 >::estimate_costs(), madness::FunctionImpl< T, LDIM >::NS_fcube_for_mul(), madness::FunctionImpl< T, LDIM >::NScoeffs2values(), madness::FunctionImpl< T, NDIM >::do_dot_local< R >::operator()(), madness::FunctionImpl< T, NDIM >::do_inner_local< R >::operator()(), madness::FunctionImpl< T, NDIM >::do_standard::operator()(), madness::FunctionImpl< T, NDIM >::project_out_op< LDIM >::operator()(), madness::operator<<(), madness::outer(), madness::FunctionImpl< T, NDIM >::parent_to_child_NS(), madness::FunctionImpl< T, LDIM >::partial_inner_contract(), madness::SeparatedConvolution< double, 3 >::partial_upsample(), madness::FunctionNode< T, NDIM >::print_json(), madness::FunctionNode< T, NDIM >::set_coeff(), madness::FunctionImpl< T, NDIM >::tnorm(), and madness::FunctionImpl< T, LDIM >::values2NScoeffs().

dims()

template<typename T>

const long * madness::GenTensor< T >::dims ( ) const

inline

return the number of entries in dimension i

References madness::BaseTensor::dims(), is_assigned(), MADNESS_ASSERT, and ptr().

Referenced by GenTensor(), madness::FunctionImpl< T, NDIM >::assemble_coefficients(), and convert_inplace().

emul()

template<typename T>

GenTensor< T > & madness::GenTensor< T >::emul ( const GenTensor< T > & other )

inline

Inplace multiply by corresponding elements of argument Tensor.

References GenTensor(), get_svdtensor(), get_tensor(), get_tensortrain(), is_full_tensor(), is_same_tensor_type, is_svd_tensor(), is_tensortrain(), MADNESS_ASSERT, and MADNESS_EXCEPTION.

Referenced by madness::FunctionImpl< T, NDIM >::multiply(), madness::FunctionImpl< T, NDIM >::pointwise_multiplier< LDIM >::operator()(), and test_emul().

fac_reduce() [1/2]

template<typename T>

double madness::GenTensor< T >::fac_reduce ( )

inlinestatic

return the additional safety for rank reduction

Referenced by madness::FunctionImpl< T, LDIM >::do_apply_directed_screening(), main(), and madness::SeparatedConvolution< double, 3 >::make_tt_representation().

fac_reduce() [2/2]

template<typename T>

double madness::GenTensor< T >::fac_reduce ( )

inlinestatic

facReduce()

template<typename T>

double madness::GenTensor< T >::facReduce ( )

inlinestatic

Referenced by GenTensor(), add_SVD(), and reduce_rank().

full_tensor() [1/4]

template<typename T>

Tensor< T > & madness::GenTensor< T >::full_tensor ( )

inline

References madness::Tensor< T >::Tensor().

full_tensor() [2/4]

template<typename T>

Tensor< T > & madness::GenTensor< T >::full_tensor ( )

inline

return a reference of the full tensor, presumably for in-place modification WARNING: works only if this is indeed a full tensor

References madness::Tensor< T >::Tensor(), get_tensor(), is_full_tensor(), and MADNESS_ASSERT.

full_tensor() [3/4]

template<typename T>

const Tensor< T > & madness::GenTensor< T >::full_tensor ( ) const

inline

References madness::Tensor< T >::Tensor().

Referenced by madness::FunctionImpl< T, NDIM >::add_scalar_inplace(), madness::FunctionImpl< T, NDIM >::assemble_coefficients(), madness::FunctionImpl< T, NDIM >::autorefine_square_test(), madness::FunctionImpl< T, LDIM >::do_project_out(), madness::FunctionImpl< T, LDIM >::err_box(), madness::FunctionImpl< T, NDIM >::eval(), madness::FunctionImpl< T, NDIM >::eval_local_only(), madness::FunctionImpl< T, NDIM >::eval_local_only(), madness::FunctionImpl< T, NDIM >::Vphi_ij_u_op_NS< opT, LDIM >::make_sum_coeffs(), madness::composite_product_op_NS< T, NDIM, opT, LDIM >::make_term_coeffs(), madness::FunctionImpl< T, NDIM >::multiply(), madness::FunctionImpl< T, NDIM >::do_dot_local< R >::operator()(), madness::FunctionImpl< T, NDIM >::do_inner_local_on_demand< R >::operator()(), madness::FunctionImpl< T, NDIM >::do_unary_op_value_inplace< opT >::operator()(), madness::FunctionImpl< T, NDIM >::hartree_op< LDIM, leaf_opT >::operator()(), madness::FunctionImpl< T, NDIM >::project_out_op< LDIM >::operator()(), madness::FunctionImpl< T, LDIM >::partial_inner_contract(), reconstruct_tensor(), madness::FunctionImpl< T, NDIM >::trace_local(), and madness::FunctionImpl< T, LDIM >::unary_op_coeff_inplace().

full_tensor() [4/4]

template<typename T>

Tensor< T > madness::GenTensor< T >::full_tensor ( ) const

inline

return a view (shallow copy) of the full tensor, if possible, otherwise reconstruct to full tensor and return a deep copy

References madness::Tensor< T >::Tensor(), full_tensor_copy(), get_tensor(), and is_full_tensor().

full_tensor_copy() [1/3]

template<typename T>

Tensor< T > madness::GenTensor< T >::full_tensor_copy ( )

inline

References madness::Tensor< T >::Tensor(), and copy.

full_tensor_copy() [2/3]

template<typename T>

Tensor< T > madness::GenTensor< T >::full_tensor_copy ( ) const

inline

References madness::Tensor< T >::Tensor(), and copy.

Referenced by madness::FunctionImpl< T, NDIM >::assemble_coefficients(), compute_difference(), compute_difference(), compute_difference(), convert_inplace(), madness::FunctionImpl< T, LDIM >::do_apply_directed_screening(), madness::Derivative< double, 1 >::do_diff2b(), full_tensor(), madness::FunctionImpl< T, NDIM >::Vphi_ij_u_op_NS< opT, LDIM >::leaf_action(), madness::FunctionImpl< T, NDIM >::Vphi_op_NS< opT, LDIM >::make_sum_coeffs(), madness::FunctionImpl< T, NDIM >::do_check_symmetry_local::operator()(), madness::FunctionImpl< T, NDIM >::do_inner_local_on_demand< R >::operator()(), madness::FunctionImpl< T, NDIM >::do_map_and_mirror::operator()(), madness::FunctionImpl< T, NDIM >::do_mirror::operator()(), madness::outer(), reconstruct_tensor(), test(), and test_general_transform().

full_tensor_copy() [3/3]

template<typename T>

Tensor< T > madness::GenTensor< T >::full_tensor_copy ( ) const

inline

References madness::Tensor< T >::Tensor(), copy, get_svdtensor(), get_tensor(), get_tensortrain(), is_assigned(), is_full_tensor(), is_svd_tensor(), is_tensortrain(), and MADNESS_EXCEPTION.

gaxpy() [1/2]

template<typename T>

GenTensor & madness::GenTensor< T >::gaxpy ( const T alpha, const GenTensor< T > & other, const T beta )

inline

References GenTensor(), alpha, beta, get_svdtensor(), get_tensor(), get_tensortrain(), is_assigned(), is_full_tensor(), is_same_tensor_type, is_svd_tensor(), is_tensortrain(), MADNESS_ASSERT, and MADNESS_EXCEPTION.

Referenced by madness::FunctionNode< T, NDIM >::accumulate(), madness::FunctionNode< T, NDIM >::consolidate_buffer(), gaxpy(), madness::FunctionNode< T, NDIM >::gaxpy_inplace(), madness::FunctionImpl< T, NDIM >::add_op::operator()(), operator+(), operator+(), operator+=(), operator+=(), operator-(), operator-=(), and operator-=().

gaxpy() [2/2]

template<typename T>

GenTensor & madness::GenTensor< T >::gaxpy ( const T alpha, std::array< Slice, TENSOR_MAXDIM > s0, const GenTensor< T > & other, const T beta, std::array< Slice, TENSOR_MAXDIM > s1 )

inline

References GenTensor(), alpha, beta, gaxpy(), get_svdtensor(), get_tensor(), get_tensortrain(), is_assigned(), is_full_tensor(), is_same_tensor_type, is_svd_tensor(), is_tensortrain(), MADNESS_ASSERT, MADNESS_EXCEPTION, and s0.

get_configs()

template<typename T>

SRConf< T > madness::GenTensor< T >::get_configs ( const int & , const int &  ) const

inline

References MADNESS_EXCEPTION.

get_svdtensor() [1/4]

template<typename T>

SVDTensor< T > & madness::GenTensor< T >::get_svdtensor ( )

inline

References MADNESS_EXCEPTION.

Referenced by add_SVD(), madness::SeparatedConvolution< double, 3 >::apply2(), madness::SeparatedConvolution< double, 3 >::apply2_lowdim(), madness::SliceLowRankTensor< T >::copy, madness::FunctionImpl< T, LDIM >::dirac_convolution_op(), madness::FunctionImpl< T, LDIM >::do_apply_directed_screening(), emul(), madness::SeparatedConvolution< double, 3 >::estimate_costs(), full_tensor_copy(), gaxpy(), gaxpy(), madness::SliceLowRankTensor< T >::gaxpy(), madness::archive::ArchiveLoadImpl< Archive, GenTensor< T > >::GenTensor< T >, nCoeff(), normalize(), madness::FunctionImpl< T, NDIM >::project_out_op< LDIM >::operator()(), operator=(), madness::SliceLowRankTensor< T >::operator=(), madness::FunctionImpl< T, LDIM >::partial_inner_contract(), rank(), real_size(), reduce_rank(), madness::FunctionImpl< T, NDIM >::multiply_op< LDIM >::screen(), svd_normf(), TENSOR_RESULT_TYPE(), and test_addition().

get_svdtensor() [2/4]

template<typename T>

SVDTensor< T > & madness::GenTensor< T >::get_svdtensor ( )

inline

References is_assigned(), MADNESS_ASSERT, MADNESS_EXCEPTION, and tensor.

get_svdtensor() [3/4]

template<typename T>

const SVDTensor< T > & madness::GenTensor< T >::get_svdtensor ( ) const

inline

References MADNESS_EXCEPTION.

get_svdtensor() [4/4]

template<typename T>

const SVDTensor< T > & madness::GenTensor< T >::get_svdtensor ( ) const

inline

References is_assigned(), MADNESS_ASSERT, MADNESS_EXCEPTION, and tensor.

get_tensor() [1/4]

template<typename T>

Tensor< T > & madness::GenTensor< T >::get_tensor ( )

inline

References madness::Tensor< T >::Tensor().

get_tensor() [2/4]

template<typename T>

Tensor< T > & madness::GenTensor< T >::get_tensor ( )

inline

References madness::Tensor< T >::Tensor(), is_assigned(), MADNESS_ASSERT, MADNESS_EXCEPTION, and tensor.

get_tensor() [3/4]

template<typename T>

const Tensor< T > & madness::GenTensor< T >::get_tensor ( ) const

inline

References madness::Tensor< T >::Tensor().

Referenced by add_SVD(), madness::convert(), convert(), convert_inplace(), madness::SliceLowRankTensor< T >::copy, emul(), full_tensor(), full_tensor(), full_tensor_copy(), gaxpy(), gaxpy(), madness::SliceLowRankTensor< T >::gaxpy(), madness::archive::ArchiveLoadImpl< Archive, GenTensor< T > >::GenTensor< T >, madness::FunctionImpl< T, NDIM >::Vphi_op_NS< opT, LDIM >::make_sum_coeffs(), nCoeff(), operator GenTensor< Q >(), operator=(), madness::SliceLowRankTensor< T >::operator=(), madness::outer(), real_size(), madness::FunctionImpl< T, NDIM >::multiply_op< LDIM >::screen(), and TENSOR_RESULT_TYPE().

get_tensor() [4/4]

template<typename T>

const Tensor< T > & madness::GenTensor< T >::get_tensor ( ) const

inline

References madness::Tensor< T >::Tensor(), is_assigned(), MADNESS_ASSERT, MADNESS_EXCEPTION, and tensor.

get_tensortrain() [1/4]

template<typename T>

SVDTensor< T > & madness::GenTensor< T >::get_tensortrain ( )

inline

References MADNESS_EXCEPTION.

Referenced by add_SVD(), convert_inplace(), madness::SliceLowRankTensor< T >::copy, emul(), full_tensor_copy(), gaxpy(), gaxpy(), madness::SliceLowRankTensor< T >::gaxpy(), madness::archive::ArchiveLoadImpl< Archive, GenTensor< T > >::GenTensor< T >, nCoeff(), operator=(), madness::SliceLowRankTensor< T >::operator=(), madness::outer(), rank(), real_size(), reduce_rank(), and TENSOR_RESULT_TYPE().

get_tensortrain() [2/4]

template<typename T>

TensorTrain< T > & madness::GenTensor< T >::get_tensortrain ( )

inline

References is_assigned(), MADNESS_ASSERT, MADNESS_EXCEPTION, and tensor.

get_tensortrain() [3/4]

template<typename T>

const SVDTensor< T > & madness::GenTensor< T >::get_tensortrain ( ) const

inline

References MADNESS_EXCEPTION.

get_tensortrain() [4/4]

template<typename T>

const TensorTrain< T > & madness::GenTensor< T >::get_tensortrain ( ) const

inline

References is_assigned(), MADNESS_ASSERT, MADNESS_EXCEPTION, and tensor.

has_data() [1/2]

template<typename T>

bool madness::GenTensor< T >::has_data ( ) const

inline

References size().

Referenced by madness::FunctionImpl< T, LDIM >::apply_source_driven(), madness::FunctionImpl< T, NDIM >::assemble_coefficients(), madness::SliceLowRankTensor< T >::gaxpy(), has_no_data(), madness::accumulate_op< T, NDIM >::operator()(), madness::FunctionImpl< T, NDIM >::do_check_symmetry_local::operator()(), madness::FunctionImpl< T, NDIM >::do_truncate_NS_leafs::operator()(), madness::FunctionImpl< T, NDIM >::recursive_apply_op2< opT >::operator()(), and madness::FunctionImpl< T, LDIM >::project_out2().

has_data() [2/2]

template<typename T>

bool madness::GenTensor< T >::has_data ( ) const

inline

References size().

has_no_data() [1/2]

template<typename T>

bool madness::GenTensor< T >::has_no_data ( ) const

inline

References has_data().

Referenced by madness::Leaf_op< T, NDIM, opT, specialboxT >::compare_to_parent(), madness::FunctionImpl< T, LDIM >::do_project_out(), madness::SliceLowRankTensor< T >::gaxpy(), madness::FunctionImpl< T, NDIM >::project_out_op< LDIM >::operator()(), and madness::FunctionImpl< T, NDIM >::trickle_down_op().

has_no_data() [2/2]

template<typename T>

bool madness::GenTensor< T >::has_no_data ( ) const

inline

References has_data().

index()

template<typename T>

int madness::GenTensor< T >::index ( ) const

inline

References is_assigned(), and tensor.

Referenced by convert_inplace(), madness::archive::ArchiveLoadImpl< Archive, GenTensor< T > >::GenTensor< T >, is_full_tensor(), is_of_tensortype(), is_svd_tensor(), is_tensortrain(), and tensor_type().

is_assigned() [1/2]

template<typename T>

bool madness::GenTensor< T >::is_assigned ( ) const

inline

References size().

Referenced by convert_inplace(), copy, dim(), dims(), full_tensor_copy(), gaxpy(), gaxpy(), get_svdtensor(), get_svdtensor(), get_tensor(), get_tensor(), get_tensortrain(), get_tensortrain(), index(), ndim(), normf(), madness::operator<<(), operator=(), madness::FunctionImpl< T, LDIM >::partial_inner_contract(), scale(), size(), and svd_normf().

is_assigned() [2/2]

template<typename T>

bool madness::GenTensor< T >::is_assigned ( ) const

inline

References ptr().

is_full_tensor() [1/2]

template<typename T>

bool madness::GenTensor< T >::is_full_tensor ( ) const

inlineconstexpr

Referenced by add_SVD(), madness::convert(), convert(), convert_inplace(), madness::SliceLowRankTensor< T >::copy, madness::FunctionImpl< T, LDIM >::do_apply_kernel2(), emul(), madness::SeparatedConvolution< double, 3 >::estimate_costs(), full_tensor(), full_tensor(), full_tensor_copy(), gaxpy(), gaxpy(), madness::SliceLowRankTensor< T >::gaxpy(), madness::FunctionImpl< T, NDIM >::multiply(), nCoeff(), operator GenTensor< Q >(), madness::FunctionImpl< T, NDIM >::project_out_op< LDIM >::operator()(), operator=(), madness::SliceLowRankTensor< T >::operator=(), madness::outer(), madness::FunctionImpl< T, LDIM >::partial_inner_contract(), rank(), real_size(), reconstruct_tensor(), madness::FunctionImpl< T, NDIM >::multiply_op< LDIM >::screen(), TENSOR_RESULT_TYPE(), and what_am_i().

is_full_tensor() [2/2]

template<typename T>

bool madness::GenTensor< T >::is_full_tensor ( ) const

inlineconstexpr

References index().

is_of_tensortype() [1/2]

template<typename T>

bool madness::GenTensor< T >::is_of_tensortype ( const TensorType & tt ) const

inline

References madness::FunctionDefaults< NDIM >::tt, and madness::TT_FULL.

Referenced by convert(), convert_inplace(), madness::FunctionImpl< T, LDIM >::do_apply_kernel3(), and madness::FunctionImpl< T, NDIM >::multiply_op< LDIM >::operator()().

is_of_tensortype() [2/2]

template<typename T>

bool madness::GenTensor< T >::is_of_tensortype ( const TensorType & tt ) const

inline

References madness::FunctionDefaults< NDIM >::tt, index(), madness::TT_2D, madness::TT_FULL, and madness::TT_TENSORTRAIN.

is_svd_tensor() [1/2]

template<typename T>

bool madness::GenTensor< T >::is_svd_tensor ( ) const

inlineconstexpr

Referenced by add_SVD(), madness::SeparatedConvolution< double, 3 >::apply2(), madness::SeparatedConvolution< double, 3 >::apply2_lowdim(), madness::convert(), convert_inplace(), madness::SliceLowRankTensor< T >::copy, madness::FunctionImpl< T, LDIM >::do_apply_kernel2(), emul(), madness::SeparatedConvolution< double, 3 >::estimate_costs(), full_tensor_copy(), gaxpy(), gaxpy(), madness::SliceLowRankTensor< T >::gaxpy(), madness::FunctionImpl< T, NDIM >::multiply(), nCoeff(), normalize(), operator GenTensor< Q >(), madness::FunctionImpl< T, NDIM >::project_out_op< LDIM >::operator()(), operator=(), madness::SliceLowRankTensor< T >::operator=(), madness::FunctionImpl< T, LDIM >::partial_inner_contract(), rank(), real_size(), reconstruct_tensor(), reduce_rank(), madness::FunctionImpl< T, NDIM >::multiply_op< LDIM >::screen(), svd_normf(), TENSOR_RESULT_TYPE(), and what_am_i().

is_svd_tensor() [2/2]

template<typename T>

bool madness::GenTensor< T >::is_svd_tensor ( ) const

inlineconstexpr

References index().

is_tensortrain() [1/2]

template<typename T>

bool madness::GenTensor< T >::is_tensortrain ( ) const

inlineconstexpr

Referenced by add_SVD(), madness::convert(), convert_inplace(), madness::SliceLowRankTensor< T >::copy, emul(), full_tensor_copy(), gaxpy(), gaxpy(), madness::SliceLowRankTensor< T >::gaxpy(), nCoeff(), operator GenTensor< Q >(), operator=(), madness::SliceLowRankTensor< T >::operator=(), madness::outer(), rank(), real_size(), reconstruct_tensor(), reduce_rank(), TENSOR_RESULT_TYPE(), and what_am_i().

is_tensortrain() [2/2]

template<typename T>

bool madness::GenTensor< T >::is_tensortrain ( ) const

inlineconstexpr

References index().

nCoeff() [1/2]

template<typename T>

size_t madness::GenTensor< T >::nCoeff ( ) const

inline

References size().

Referenced by madness::FunctionImpl< T, NDIM >::nCoeff_local().

nCoeff() [2/2]

template<typename T>

long madness::GenTensor< T >::nCoeff ( ) const

inline

References get_svdtensor(), get_tensor(), get_tensortrain(), is_full_tensor(), is_svd_tensor(), is_tensortrain(), and MADNESS_EXCEPTION.

ndim()

template<typename T>

long madness::GenTensor< T >::ndim ( ) const

inline

References is_assigned(), madness::BaseTensor::ndim(), and ptr().

Referenced by GenTensor(), GenTensor(), madness::SeparatedConvolution< double, 3 >::apply2(), madness::SeparatedConvolution< double, 3 >::apply2_lowdim(), madness::FunctionImpl< T, NDIM >::assemble_coefficients(), convert_inplace(), madness::SeparatedConvolution< double, 3 >::estimate_costs(), madness::outer(), and madness::SeparatedConvolution< double, 3 >::partial_upsample().

normalize() [1/2]

template<typename T>

void madness::GenTensor< T >::normalize ( )

inline

Referenced by madness::FunctionImpl< T, NDIM >::multiply_op< LDIM >::operator()().

normalize() [2/2]

template<typename T>

void madness::GenTensor< T >::normalize ( )

inline

References get_svdtensor(), and is_svd_tensor().

normf()

template<typename T>

float_scalar_type madness::GenTensor< T >::normf ( ) const

inline

References is_assigned(), norm(), and tensor.

Referenced by madness::FunctionImpl< T, NDIM >::broaden(), madness::Leaf_op< T, NDIM, opT, specialboxT >::compare_to_parent(), madness::FunctionImpl< T, NDIM >::compress_op(), madness::FunctionImpl< T, LDIM >::do_apply_directed_screening(), madness::FunctionImpl< T, NDIM >::do_check_symmetry_local::operator()(), madness::FunctionImpl< T, NDIM >::do_norm2sq_local::operator()(), madness::FunctionImpl< T, NDIM >::pointwise_multiplier< LDIM >::operator()(), madness::op_leaf_op< T, NDIM, opT >::operator()(), madness::operator<<(), madness::Leaf_op< T, NDIM, opT, specialboxT >::post_screening(), madness::FunctionNode< T, NDIM >::print_json(), madness::FunctionNode< T, NDIM >::recompute_snorm_and_dnorm(), svd_normf(), madness::FunctionImpl< T, NDIM >::tnorm(), madness::FunctionImpl< T, NDIM >::truncate_op(), madness::FunctionImpl< T, NDIM >::truncate_spawn(), and madness::FunctionImpl< T, LDIM >::vtransform_doit().

operator GenTensor< Q >() [1/2]

template<typename T>

template<class Q>

madness::GenTensor< T >::operator GenTensor< Q > ( ) const

inline

Type conversion makes a deep copy.

References madness::Tensor< T >::Tensor(), madness::BaseTensor::_dim, madness::BaseTensor::_ndim, BINARY_OPTIMIZED_ITERATOR, and Q().

operator GenTensor< Q >() [2/2]

template<typename T>

template<class Q>

madness::GenTensor< T >::operator GenTensor< Q > ( ) const

inline

Type conversion makes a deep copy.

References GenTensor(), madness::Tensor< T >::Tensor(), get_tensor(), is_full_tensor(), is_svd_tensor(), is_tensortrain(), and MADNESS_EXCEPTION.

operator()() [1/2]

template<typename T>

SliceLowRankTensor< T > madness::GenTensor< T >::operator() ( const std::vector< Slice > & s )

inline

general slicing, shallow; for temporary use only!

References SliceLowRankTensor< T >.

operator()() [2/2]

template<typename T>

const SliceLowRankTensor< T > madness::GenTensor< T >::operator() ( const std::vector< Slice > & s ) const

inline

general slicing, shallow; for temporary use only!

References SliceLowRankTensor< T >.

operator*()

template<typename T>

template<typename Q>

GenTensor< TENSOR_RESULT_TYPE(T, Q)> madness::GenTensor< T >::operator* ( const Q & x ) const

inline

multiply with a number

References GenTensor(), copy, Q(), scale(), and TENSOR_RESULT_TYPE.

operator+() [1/2]

template<typename T>

GenTensor madness::GenTensor< T >::operator+ ( const GenTensor< T > & other )

inline

References GenTensor(), copy, and gaxpy().

operator+() [2/2]

template<typename T>

GenTensor madness::GenTensor< T >::operator+ ( const SliceLowRankTensor< T > & other )

inline

References GenTensor(), madness::_(), copy, gaxpy(), s0, and madness::SliceLowRankTensor< T >::thisslice.

operator+=() [1/2]

template<typename T>

GenTensor & madness::GenTensor< T >::operator+= ( const GenTensor< T > & other )

inline

References GenTensor(), and gaxpy().

operator+=() [2/2]

template<typename T>

GenTensor & madness::GenTensor< T >::operator+= ( const SliceLowRankTensor< T > & other )

inline

References GenTensor(), madness::_(), gaxpy(), s0, and madness::SliceLowRankTensor< T >::thisslice.

operator-()

template<typename T>

GenTensor madness::GenTensor< T >::operator- ( const GenTensor< T > & other )

inline

References GenTensor(), copy, and gaxpy().

operator-=() [1/2]

template<typename T>

GenTensor & madness::GenTensor< T >::operator-= ( const GenTensor< T > & other )

inline

References GenTensor(), and gaxpy().

operator-=() [2/2]

template<typename T>

GenTensor & madness::GenTensor< T >::operator-= ( const SliceLowRankTensor< T > & other )

inline

References GenTensor(), madness::_(), gaxpy(), s0, and madness::SliceLowRankTensor< T >::thisslice.

operator=() [1/6]

template<typename T>

GenTensor & madness::GenTensor< T >::operator= ( const GenTensor< T > & other )

inline

shallow assignment operator

References GenTensor(), and tensor.

operator=() [2/6]

template<typename T>

GenTensor & madness::GenTensor< T >::operator= ( const SliceLowRankTensor< T > & other )

inline

deep assignment with slices: g0 = g1(s)

References GenTensor(), madness::Tensor< T >::Tensor(), copy, get_svdtensor(), get_tensor(), get_tensortrain(), is_assigned(), is_full_tensor(), is_svd_tensor(), is_tensortrain(), MADNESS_ASSERT, MADNESS_EXCEPTION, tensor, and madness::SliceLowRankTensor< T >::thisslice.

operator=() [3/6]

template<typename T>

GenTensor & madness::GenTensor< T >::operator= ( const SVDTensor< T > & other )

inline

deep assignment operator

References GenTensor(), copy, and tensor.

operator=() [4/6]

template<typename T>

GenTensor & madness::GenTensor< T >::operator= ( const T & number )

inline

assign a number to this tensor

References GenTensor(), and tensor.

operator=() [5/6]

template<typename T>

GenTensor & madness::GenTensor< T >::operator= ( const Tensor< T > & other )

inline

deep assignment operator

References GenTensor(), madness::Tensor< T >::Tensor(), copy, and tensor.

operator=() [6/6]

template<typename T>

GenTensor & madness::GenTensor< T >::operator= ( const TensorTrain< T > & other )

inline

deep assignment operator

References GenTensor(), copy, and tensor.

ptr()

template<typename T>

const BaseTensor * madness::GenTensor< T >::ptr ( ) const

inline

might return a NULL pointer!

References p(), and tensor.

Referenced by madness::SeparatedConvolution< double, 3 >::apply_transformation2(), dim(), dims(), is_assigned(), ndim(), and size().

rank() [1/2]

template<typename T>

long madness::GenTensor< T >::rank ( ) const

inline

Referenced by madness::SeparatedConvolution< double, 3 >::apply2(), madness::SeparatedConvolution< double, 3 >::apply2_lowdim(), madness::FunctionImpl< T, LDIM >::apply_source_driven(), convert_inplace(), madness::FunctionImpl< T, LDIM >::dirac_convolution_op(), madness::FunctionImpl< T, LDIM >::do_project_out(), madness::SeparatedConvolution< double, 3 >::estimate_costs(), madness::FunctionImpl< T, NDIM >::evalR(), madness::SliceLowRankTensor< T >::gaxpy(), LBCost::operator()(), madness::FunctionImpl< T, NDIM >::project_out_op< LDIM >::operator()(), madness::operator<<(), madness::SeparatedConvolution< double, 3 >::partial_upsample(), madness::FunctionNode< T, NDIM >::print_json(), madness::FunctionImpl< T, NDIM >::print_plane_local(), madness::FunctionImpl< T, NDIM >::print_stats(), and TENSOR_RESULT_TYPE().

rank() [2/2]

template<typename T>

long madness::GenTensor< T >::rank ( ) const

inline

References get_svdtensor(), get_tensortrain(), is_full_tensor(), is_svd_tensor(), and is_tensortrain().

real_size() [1/2]

template<typename T>

size_t madness::GenTensor< T >::real_size ( ) const

inline

References size().

Referenced by madness::FunctionImpl< T, NDIM >::real_size().

real_size() [2/2]

template<typename T>

long madness::GenTensor< T >::real_size ( ) const

inline

References get_svdtensor(), get_tensor(), get_tensortrain(), is_full_tensor(), is_svd_tensor(), is_tensortrain(), and MADNESS_EXCEPTION.

reconstruct_tensor() [1/2]

template<typename T>

Tensor< T > madness::GenTensor< T >::reconstruct_tensor ( ) const

inline

References madness::Tensor< T >::Tensor().

Referenced by madness::FunctionImpl< T, NDIM >::do_mapdim::operator()().

reconstruct_tensor() [2/2]

template<typename T>

Tensor< T > madness::GenTensor< T >::reconstruct_tensor ( ) const

inline

reconstruct this to return a full tensor

References madness::Tensor< T >::Tensor(), full_tensor(), full_tensor_copy(), is_full_tensor(), is_svd_tensor(), and is_tensortrain().

reduce_rank() [1/2]

template<typename T>

void madness::GenTensor< T >::reduce_rank ( const double & )

inline

Referenced by madness::SeparatedConvolution< double, 3 >::apply2_lowdim(), madness::FunctionImpl< T, NDIM >::assemble_coefficients(), madness::FunctionImpl< T, NDIM >::Vphi_op_NS< opT, LDIM >::make_sum_coeffs(), madness::FunctionImpl< T, NDIM >::add_op::operator()(), madness::FunctionImpl< T, LDIM >::partial_inner_contract(), madness::FunctionImpl< T, NDIM >::reconstruct_op(), madness::FunctionImpl< T, LDIM >::recur_down_for_contraction_map(), madness::FunctionImpl< T, LDIM >::refine_op(), test_addition(), and test_reduce_rank().

reduce_rank() [2/2]

template<typename T>

void madness::GenTensor< T >::reduce_rank ( const double & thresh )

inline

References facReduce(), madness::FunctionDefaults< NDIM >::thresh, get_svdtensor(), get_tensortrain(), is_svd_tensor(), and is_tensortrain().

scale()

template<typename T>

template<typename Q>

IsSupported< TensorTypeData< Q >, GenTensor< T > & >::type madness::GenTensor< T >::scale ( Q fac )

inline

Inplace multiplication by scalar of supported type (legacy name).

Parameters

[in]

x

Scalar value

Returns

Reference to this tensor

References is_assigned(), Q(), and tensor.

Referenced by madness::SeparatedConvolution< double, 3 >::apply_transformation2(), madness::Leaf_op< T, NDIM, opT, specialboxT >::compare_to_parent(), madness::FunctionNode< T, NDIM >::gaxpy_inplace(), madness::detail::scaleinplace< T, NDIM >::operator()(), operator*(), and madness::FunctionImpl< T, NDIM >::parent_to_child().

size()

template<typename T>

long madness::GenTensor< T >::size ( ) const

inline

References is_assigned(), ptr(), and madness::BaseTensor::size().

Referenced by GenTensor(), madness::SeparatedConvolution< double, 3 >::estimate_costs(), has_data(), is_assigned(), madness::load_balance(), nCoeff(), madness::LBCost::operator()(), and real_size().

svd_normf() [1/2]

template<typename T>

double madness::GenTensor< T >::svd_normf ( ) const

inline

References normf().

Referenced by madness::FunctionImpl< T, LDIM >::do_apply_kernel3().

svd_normf() [2/2]

template<typename T>

float_scalar_type madness::GenTensor< T >::svd_normf ( ) const

inline

References get_svdtensor(), is_assigned(), is_svd_tensor(), norm(), and tensor.

TENSOR_RESULT_TYPE()

template<typename T>

template<typename Q>

madness::GenTensor< T >::TENSOR_RESULT_TYPE ( T , Q  ) const &

inline

returns the trace of <this|rhs>

References GenTensor(), get_svdtensor(), get_tensor(), get_tensortrain(), is_full_tensor(), is_same_tensor_type, is_svd_tensor(), is_tensortrain(), MADNESS_ASSERT, MADNESS_EXCEPTION, Q(), rank(), and TENSOR_RESULT_TYPE.

tensor_type() [1/2]

template<typename T>

TensorType madness::GenTensor< T >::tensor_type ( ) const

inline

References madness::TT_FULL.

Referenced by madness::FunctionImpl< T, LDIM >::do_project_out(), madness::FunctionImpl< T, NDIM >::multiply(), and madness::FunctionImpl< T, NDIM >::parent_to_child_NS().

tensor_type() [2/2]

template<typename T>

TensorType madness::GenTensor< T >::tensor_type ( ) const

inline

return the tensor type

References index(), MADNESS_EXCEPTION, madness::TT_2D, madness::TT_FULL, and madness::TT_TENSORTRAIN.

what_am_i() [1/2]

template<typename T>

std::string madness::GenTensor< T >::what_am_i ( ) const

inline

what_am_i() [2/2]

template<typename T>

std::string madness::GenTensor< T >::what_am_i ( ) const

inline

References madness::FunctionDefaults< NDIM >::tt, is_full_tensor(), is_svd_tensor(), is_tensortrain(), madness::TT_2D, madness::TT_FULL, madness::TT_TENSORTRAIN, and madness::TensorArgs::what_am_i().

Friends And Related Symbol Documentation

copy

template<typename T>

GenTensor copy ( const GenTensor< T > & other )

friend

deep copy

References GenTensor(), copy, is_assigned(), and tensor.

Referenced by GenTensor(), convert(), convert(), convert_inplace(), copy, full_tensor_copy(), full_tensor_copy(), operator*(), operator+(), operator+(), operator-(), operator=(), operator=(), operator=(), and operator=().

is_same_tensor_type

template<typename T>

template<typename Q, typename R>

bool is_same_tensor_type ( const GenTensor< R > & rhs, const GenTensor< Q > & lhs )

friend

References GenTensor(), and tensor.

Referenced by emul(), gaxpy(), gaxpy(), madness::SliceLowRankTensor< T >::gaxpy(), and TENSOR_RESULT_TYPE().

SliceLowRankTensor< T >

template<typename T>

friend class SliceLowRankTensor< T >

friend

References GenTensor(), madness::Tensor< T >::Tensor(), axis, c, Q(), R, tensor, TENSOR_RESULT_TYPE, and madness::transform_dir().

Referenced by operator()(), and operator()().

Member Data Documentation

tensor

template<typename T>

std::variant<std::shared_ptr<Tensor<T> >, std::shared_ptr<SVDTensor<T> >, std::shared_ptr<TensorTrain<T> > > madness::GenTensor< T >::tensor

private

holding the implementation of the low rank tensor representations

Referenced by GenTensor(), GenTensor(), GenTensor(), GenTensor(), GenTensor(), copy, general_transform, get_svdtensor(), get_svdtensor(), get_tensor(), get_tensor(), get_tensortrain(), get_tensortrain(), index(), is_same_tensor_type, normf(), operator=(), operator=(), operator=(), operator=(), operator=(), operator=(), ptr(), scale(), SliceLowRankTensor< T >, svd_normf(), and transform.

---

The documentation for this class was generated from the following files:

• leafop.h
• lowranktensor.h
• gentensor.h