A constant view of a Tensor4. More...

#include <matpackIV.h>

Inheritance diagram for ConstTensor4View:

Public Member Functions
Index	nbooks () const
	Returns the number of books. More...

Index	npages () const
	Returns the number of pages. More...

Index	nrows () const
	Returns the number of rows. More...

Index	ncols () const
	Returns the number of columns. More...

ConstTensor4View	operator() (const Range &b, const Range &p, const Range &r, const Range &c) const
	Const index operator for subrange. More...

ConstTensor3View	operator() (const Range &b, const Range &p, const Range &r, Index c) const
	Const index operator returning an object of type ConstTensor3View. More...

ConstTensor3View	operator() (const Range &b, const Range &p, Index r, const Range &c) const
	Const index operator returning an object of type ConstTensor3View. More...

ConstTensor3View	operator() (const Range &b, Index p, const Range &r, const Range &c) const
	Const index operator returning an object of type ConstTensor3View. More...

ConstTensor3View	operator() (Index b, const Range &p, const Range &r, const Range &c) const
	Const index operator returning an object of type ConstTensor3View. More...

ConstMatrixView	operator() (const Range &b, const Range &p, Index r, Index c) const
	Const index operator returning an object of type ConstMatrixView. More...

ConstMatrixView	operator() (const Range &b, Index p, const Range &r, Index c) const
	Const index operator returning an object of type ConstMatrixView. More...

ConstMatrixView	operator() (const Range &b, Index p, Index r, const Range &c) const
	Const index operator returning an object of type ConstMatrixView. More...

ConstMatrixView	operator() (Index b, const Range &p, Index r, const Range &c) const
	Const index operator returning an object of type ConstMatrixView. More...

ConstMatrixView	operator() (Index b, const Range &p, const Range &r, Index c) const
	Const index operator returning an object of type ConstMatrixView. More...

ConstMatrixView	operator() (Index b, Index p, const Range &r, const Range &c) const
	Const index operator returning an object of type ConstMatrixView. More...

ConstVectorView	operator() (const Range &b, Index p, Index r, Index c) const
	Const index operator returning an object of type ConstVectorView. More...

ConstVectorView	operator() (Index b, const Range &p, Index r, Index c) const
	Const index operator returning an object of type ConstVectorView. More...

ConstVectorView	operator() (Index b, Index p, const Range &r, Index c) const
	Const index operator returning an object of type ConstVectorView. More...

ConstVectorView	operator() (Index b, Index p, Index r, const Range &c) const
	Const index operator returning an object of type ConstVectorView. More...

Numeric	operator() (Index b, Index p, Index r, Index c) const
	Plain const index operator. More...

Numeric	get (Index b, Index p, Index r, Index c) const
	Get element implementation without assertions. More...

ConstIterator4D	begin () const
	Return const iterator to first book. More...

ConstIterator4D	end () const
	Return const iterator behind last book. More...

virtual	~ConstTensor4View ()
	Destructor. More...

	ConstTensor4View (const ConstTensor3View &a)
	Special constructor to make a Tensor4 view of a Tensor3. More...

Protected Member Functions
	ConstTensor4View ()
	Default constructor. More...

	ConstTensor4View (Numeric *data, const Range &b, const Range &p, const Range &r, const Range &c)
	Explicit constructor. More...

	ConstTensor4View (Numeric *data, const Range &pb, const Range &pp, const Range &pr, const Range &pc, const Range &nb, const Range &np, const Range &nr, const Range &nc)
	Recursive constructor. More...

Protected Attributes
Range	mbr
	The book range of mdata that is actually used. More...

Range	mpr
	The page range of mdata that is actually used. More...

Range	mrr
	The row range of mdata that is actually used. More...

Range	mcr
	The column range of mdata that is actually used. More...

Numeric *	mdata
	Pointer to the plain C array that holds the data. More...

Friends
class	Tensor4View

class	ConstIterator5D

class	ConstTensor5View

class	ConstTensor6View

class	ConstTensor7View

Detailed Description

A constant view of a Tensor4.

This, together with the derived class Tensor4View, contains the main implementation of a Tensor4. It defines the concepts of Tensor4View. Plus additionally the recursive subrange operator, which makes it possible to create a Tensor4View from a subrange of a Tensor4View.

The four dimensions of the tensor are called: book, page, row, column.

The class Tensor4 is just a special case of a Tensor4View which also allocates storage.

Definition at line 141 of file matpackIV.h.

Constructor & Destructor Documentation

◆ ~ConstTensor4View()

virtual ConstTensor4View::~ConstTensor4View ( )

inlinevirtual

Destructor.

Definition at line 199 of file matpackIV.h.

◆ ConstTensor4View() [1/4]

ConstTensor4View::ConstTensor4View ( const ConstTensor3View & a )

Special constructor to make a Tensor4 view of a Tensor3.

Definition at line 431 of file matpackIV.cc.

◆ ConstTensor4View() [2/4]

ConstTensor4View::ConstTensor4View ( )

protected

Default constructor.

This is necessary, so that we can have a default constructor for derived classes.

Definition at line 443 of file matpackIV.cc.

Referenced by operator()().

◆ ConstTensor4View() [3/4]

ConstTensor4View::ConstTensor4View	(	Numeric *	data,
		const Range &	br,
		const Range &	pr,
		const Range &	rr,
		const Range &	cr
	)

protected

Explicit constructor.

This one is used by Tensor4 to initialize its own Tensor4View part. The page range pr must have a stride to account for the length of one page. The book range br must have a stride to account for the length of one book.

Definition at line 457 of file matpackIV.cc.

◆ ConstTensor4View() [4/4]

ConstTensor4View::ConstTensor4View	(	Numeric *	data,
		const Range &	pb,
		const Range &	pp,
		const Range &	pr,
		const Range &	pc,
		const Range &	nb,
		const Range &	np,
		const Range &	nr,
		const Range &	nc
	)

protected

Recursive constructor.

This is used to construct sub-tensors from sub-tensors. That means that the new ranges have to be interpreted relative to the original ranges.

The new ranges may contain -1 for the extent which acts as a joker. However, the used Range constructor converts this to an explicit range, consistent with the original Range.

Definition at line 478 of file matpackIV.cc.

Member Function Documentation

◆ begin()

ConstIterator4D ConstTensor4View::begin ( ) const

Return const iterator to first book.

Definition at line 414 of file matpackIV.cc.

References mbr, mcr, mdata, mpr, mrr, Range::mstart, and Range::mstride.

Referenced by Tensor4View::begin(), copy(), max(), min(), Tensor4View::operator*=(), Tensor4View::operator+=(), Tensor4View::operator-=(), Tensor4View::operator/=(), operator<<(), Tensor4View::operator=(), Tensor4::Tensor4(), and transform().

◆ end()

ConstIterator4D ConstTensor4View::end ( ) const

Return const iterator behind last book.

Definition at line 422 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

Referenced by copy(), Tensor4View::end(), max(), min(), operator<<(), Tensor4View::operator=(), Tensor4::Tensor4(), and transform().

◆ get()

Numeric ConstTensor4View::get	(	Index	b,
		Index	p,
		Index	r,
		Index	c
	)		const

inline

Get element implementation without assertions.

Definition at line 185 of file matpackIV.h.

References mbr, mcr, mdata, mpr, mrr, Range::mstart, and Range::mstride.

Referenced by Tensor4View::get(), interp(), and operator()().

◆ nbooks()

Index ConstTensor4View::nbooks ( ) const

Returns the number of books.

Definition at line 63 of file matpackIV.cc.

References mbr, and Range::mextent.

Referenced by abs_lookupSetupBatch(), GasAbsLookup::Adapt(), antenna2d_simplified(), Append(), AtmFieldsCalc(), AtmFieldsCalcExpand1D(), AtmFieldsExpand1D(), AtmFieldsRefinePgrid(), GriddedField4::checksize(), GriddedField4::checksize_strict(), chk_atm_field(), chk_size(), clear_rt_vars_at_gp(), cloud_atm_vars_by_gp(), cloud_fieldsCalc(), cloud_ppath_update1D(), cloud_ppath_update1D_noseq(), cloud_ppath_update1D_planeparallel(), cloud_ppath_update3D(), cloudboxSetAutomatically(), cloudy_rt_vars_at_gp(), describe(), doit_i_fieldSetFromdoit_i_field1D_spectrum(), doit_scat_fieldCalc(), doit_scat_fieldCalcLimb(), dtauc_ssalbCalc(), Extract(), fos(), get_ppath_abs(), get_ppath_atmvars(), get_ppath_ext(), get_refr_index_1d(), get_refr_index_2d(), get_refr_index_3d(), GriddedFieldLatLonExpand(), GriddedFieldLatLonRegrid(), GriddedFieldPRegrid(), interp_cloud_coeff1D(), is_size(), iwp_cloud_opt_pathCalc(), iy_auxFillParticleVariables(), iyCloudRadar(), iyRadioLink(), iySurfaceRtpropAgenda(), iyTransmissionStandard(), Massdensity_cleanup(), MCGeneral(), MCIPA(), nca_def_Tensor4(), nca_put_var_Tensor4(), nca_write_to_file(), Tensor4View::operator*=(), Tensor4View::operator+=(), Tensor4View::operator-=(), Tensor4View::operator/=(), pnd_fieldExpand1D(), propmat_clearsky_fieldCalc(), propmat_clearskyAddFromAbsCoefPerSpecies(), propmat_clearskyAddZeeman(), Reduce(), ScatteringMergeParticles1D(), select_dims_by_size(), surface_scalar_reflectivityFromGriddedField4(), Tensor4AddScalar(), Tensor4Scale(), test1(), transform(), and xml_write_to_stream().

◆ ncols()

Index ConstTensor4View::ncols ( ) const

Returns the number of columns.

Definition at line 81 of file matpackIV.cc.

References mcr, and Range::mextent.

Referenced by abs_lookupSetupBatch(), abs_vecAddGas(), GasAbsLookup::Adapt(), Append(), atm_fields_compactExpand(), AtmFieldsCalc(), GriddedField4::checksize(), GriddedField4::checksize_strict(), chk_atm_field(), chk_size(), cloud_fieldsCalc(), cloudboxSetAutomatically(), describe(), doit_i_fieldSetFromdoit_i_field1D_spectrum(), ext_matAddGas(), Extract(), get_ppath_abs(), GriddedFieldLatLonExpand(), GriddedFieldPRegrid(), is_size(), iySurfaceRtpropAgenda(), Massdensity_cleanup(), nca_def_Tensor4(), nca_put_var_Tensor4(), nca_write_to_file(), Tensor4View::operator*=(), Tensor4View::operator+=(), Tensor4View::operator-=(), Tensor4View::operator/=(), opt_prop_sum_propmat_clearsky(), pha_mat_sptFromDataDOITOpt(), pnd_fieldExpand1D(), pnd_fieldSetup(), propmat_clearskyAddFromAbsCoefPerSpecies(), propmat_clearskyAddFromLookup(), propmat_clearskyAddZeeman(), Reduce(), select_dims_by_size(), surface_scalar_reflectivityFromGriddedField4(), Tensor4AddScalar(), Tensor4Scale(), test1(), transform(), and xml_write_to_stream().

◆ npages()

Index ConstTensor4View::npages ( ) const

Returns the number of pages.

Definition at line 69 of file matpackIV.cc.

References Range::mextent, and mpr.

Referenced by abs_lookupSetupBatch(), abs_vecAddGas(), antenna2d_simplified(), Append(), atm_fields_compactExpand(), AtmFieldsCalc(), GriddedField4::checksize(), GriddedField4::checksize_strict(), chk_atm_field(), chk_size(), cloudboxSetAutomatically(), describe(), doit_i_fieldSetFromdoit_i_field1D_spectrum(), dtauc_ssalbCalc(), ext_matAddGas(), GasAbsLookup::Extract(), Extract(), get_ppath_abs(), GriddedFieldLatLonExpand(), GriddedFieldLatLonRegrid(), is_size(), iySurfaceRtpropAgenda(), Massdensity_cleanup(), nca_def_Tensor4(), nca_put_var_Tensor4(), nca_write_to_file(), Tensor4View::operator*=(), Tensor4View::operator+=(), Tensor4View::operator-=(), Tensor4View::operator/=(), opt_prop_sum_propmat_clearsky(), phase_functionCalc(), pnd_fieldExpand1D(), pnd_fieldSetup(), propmat_clearskyAddFromAbsCoefPerSpecies(), propmat_clearskyAddZeeman(), Reduce(), select_dims_by_size(), surface_scalar_reflectivityFromGriddedField4(), Tensor4AddScalar(), Tensor4Scale(), test1(), transform(), and xml_write_to_stream().

◆ nrows()

Index ConstTensor4View::nrows ( ) const

Returns the number of rows.

Definition at line 75 of file matpackIV.cc.

References Range::mextent, and mrr.

Referenced by abs_lookupSetupBatch(), antenna2d_simplified(), Append(), atm_fields_compactExpand(), AtmFieldsCalc(), GriddedField4::checksize(), GriddedField4::checksize_strict(), chk_atm_field(), chk_size(), cloudboxSetAutomatically(), describe(), doit_i_fieldSetFromdoit_i_field1D_spectrum(), Extract(), get_ppath_abs(), GriddedFieldLatLonExpand(), GriddedFieldPRegrid(), is_size(), iySurfaceRtpropAgenda(), Massdensity_cleanup(), nca_def_Tensor4(), nca_put_var_Tensor4(), nca_write_to_file(), Tensor4View::operator*=(), Tensor4View::operator+=(), Tensor4View::operator-=(), Tensor4View::operator/=(), pnd_fieldExpand1D(), pnd_fieldSetup(), propmat_clearskyAddFromAbsCoefPerSpecies(), propmat_clearskyAddFromLookup(), propmat_clearskyAddZeeman(), Reduce(), select_dims_by_size(), surface_scalar_reflectivityFromGriddedField4(), Tensor4AddScalar(), Tensor4Scale(), test1(), transform(), and xml_write_to_stream().

◆ operator()() [1/16]

ConstTensor4View ConstTensor4View::operator()	(	const Range &	b,
		const Range &	p,
		const Range &	r,
		const Range &	c
	)		const

Const index operator for subrange.

We have to also account for the case, that *this is already a subrange of a Tensor4. This allows correct recursive behavior.

Definition at line 89 of file matpackIV.cc.

References ConstTensor4View(), mbr, mcr, mdata, mpr, and mrr.

Referenced by Tensor4View::operator()().

◆ operator()() [2/16]

ConstTensor3View ConstTensor4View::operator()	(	const Range &	b,
		const Range &	p,
		const Range &	r,
		Index	c
	)		const

Const index operator returning an object of type ConstTensor3View.

(Reducing the dimension by one.)

Definition at line 101 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

◆ operator()() [3/16]

ConstTensor3View ConstTensor4View::operator()	(	const Range &	b,
		const Range &	p,
		Index	r,
		const Range &	c
	)		const

Const index operator returning an object of type ConstTensor3View.

(Reducing the dimension by one.)

Definition at line 118 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

◆ operator()() [4/16]

ConstMatrixView ConstTensor4View::operator()	(	const Range &	b,
		const Range &	p,
		Index	r,
		Index	c
	)		const

Const index operator returning an object of type ConstMatrixView.

(Reducing the dimension by two.)

Definition at line 169 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

◆ operator()() [5/16]

ConstTensor3View ConstTensor4View::operator()	(	const Range &	b,
		Index	p,
		const Range &	r,
		const Range &	c
	)		const

Const index operator returning an object of type ConstTensor3View.

(Reducing the dimension by one.)

Definition at line 135 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

◆ operator()() [6/16]

ConstMatrixView ConstTensor4View::operator()	(	const Range &	b,
		Index	p,
		const Range &	r,
		Index	c
	)		const

Const index operator returning an object of type ConstMatrixView.

(Reducing the dimension by two.)

Definition at line 189 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

◆ operator()() [7/16]

ConstMatrixView ConstTensor4View::operator()	(	const Range &	b,
		Index	p,
		Index	r,
		const Range &	c
	)		const

Const index operator returning an object of type ConstMatrixView.

(Reducing the dimension by two.)

Definition at line 209 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

◆ operator()() [8/16]

ConstVectorView ConstTensor4View::operator()	(	const Range &	b,
		Index	p,
		Index	r,
		Index	c
	)		const

Const index operator returning an object of type ConstVectorView.

(Reducing the dimension by three.)

Definition at line 289 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

◆ operator()() [9/16]

ConstTensor3View ConstTensor4View::operator()	(	Index	b,
		const Range &	p,
		const Range &	r,
		const Range &	c
	)		const

Const index operator returning an object of type ConstTensor3View.

(Reducing the dimension by one.)

Definition at line 152 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

◆ operator()() [10/16]

ConstMatrixView ConstTensor4View::operator()	(	Index	b,
		const Range &	p,
		const Range &	r,
		Index	c
	)		const

Const index operator returning an object of type ConstMatrixView.

(Reducing the dimension by two.)

Definition at line 249 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

◆ operator()() [11/16]

ConstMatrixView ConstTensor4View::operator()	(	Index	b,
		const Range &	p,
		Index	r,
		const Range &	c
	)		const

Const index operator returning an object of type ConstMatrixView.

(Reducing the dimension by two.)

Definition at line 229 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

◆ operator()() [12/16]

ConstVectorView ConstTensor4View::operator()	(	Index	b,
		const Range &	p,
		Index	r,
		Index	c
	)		const

Const index operator returning an object of type ConstVectorView.

(Reducing the dimension by three.)

Definition at line 312 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

◆ operator()() [13/16]

ConstMatrixView ConstTensor4View::operator()	(	Index	b,
		Index	p,
		const Range &	r,
		const Range &	c
	)		const

Const index operator returning an object of type ConstMatrixView.

(Reducing the dimension by two.)

Definition at line 269 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

◆ operator()() [14/16]

ConstVectorView ConstTensor4View::operator()	(	Index	b,
		Index	p,
		const Range &	r,
		Index	c
	)		const

Const index operator returning an object of type ConstVectorView.

(Reducing the dimension by three.)

Definition at line 335 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

◆ operator()() [15/16]

ConstVectorView ConstTensor4View::operator()	(	Index	b,
		Index	p,
		Index	r,
		const Range &	c
	)		const

Const index operator returning an object of type ConstVectorView.

Reducing the dimension by three.)

Definition at line 358 of file matpackIV.cc.

References mbr, mcr, mdata, Range::mextent, mpr, mrr, Range::mstart, and Range::mstride.

◆ operator()() [16/16]

Numeric ConstTensor4View::operator()	(	Index	b,
		Index	p,
		Index	r,
		Index	c
	)		const

inline

Plain const index operator.

Definition at line 170 of file matpackIV.h.

References get(), mbr, mcr, Range::mextent, mpr, and mrr.

Friends And Related Function Documentation

◆ ConstIterator5D

friend class ConstIterator5D

friend

Definition at line 203 of file matpackIV.h.

◆ ConstTensor5View

friend class ConstTensor5View

friend

Definition at line 204 of file matpackIV.h.

◆ ConstTensor6View

friend class ConstTensor6View

friend

Definition at line 205 of file matpackIV.h.

◆ ConstTensor7View

friend class ConstTensor7View

friend

Definition at line 206 of file matpackIV.h.

◆ Tensor4View

friend class Tensor4View

friend

Definition at line 202 of file matpackIV.h.

Member Data Documentation

◆ mbr

Range ConstTensor4View::mbr

protected

The book range of mdata that is actually used.

Definition at line 223 of file matpackIV.h.

Referenced by Tensor4View::begin(), begin(), Tensor4View::end(), end(), Tensor4View::get(), get(), Tensor4View::get_c_array(), nbooks(), ConstIterator5D::operator!=(), Iterator5D::operator!=(), Tensor4View::operator()(), operator()(), Tensor4View::operator=(), Tensor4::resize(), and swap().

◆ mcr

Range ConstTensor4View::mcr

protected

The column range of mdata that is actually used.

Definition at line 229 of file matpackIV.h.

Referenced by Tensor4View::begin(), begin(), Tensor4View::end(), end(), Tensor4View::get(), get(), Tensor4View::get_c_array(), ncols(), ConstIterator5D::operator!=(), Iterator5D::operator!=(), Tensor4View::operator()(), operator()(), Tensor4View::operator=(), Tensor4::resize(), and swap().

◆ mdata

Numeric* ConstTensor4View::mdata

protected

Pointer to the plain C array that holds the data.

Definition at line 231 of file matpackIV.h.

Referenced by Tensor4View::begin(), begin(), Tensor4View::end(), end(), Tensor4View::get(), get(), Tensor4View::get_c_array(), ConstIterator5D::operator!=(), Iterator5D::operator!=(), Tensor4View::operator()(), operator()(), Iterator5D::operator++(), ConstIterator5D::operator++(), Tensor4::resize(), swap(), Tensor4::Tensor4(), and Tensor4::~Tensor4().

◆ mpr

Range ConstTensor4View::mpr

protected

The page range of mdata that is actually used.

Definition at line 225 of file matpackIV.h.

Referenced by Tensor4View::begin(), begin(), Tensor4View::end(), end(), Tensor4View::get(), get(), Tensor4View::get_c_array(), npages(), ConstIterator5D::operator!=(), Iterator5D::operator!=(), Tensor4View::operator()(), operator()(), Tensor4View::operator=(), Tensor4::resize(), and swap().

◆ mrr

Range ConstTensor4View::mrr

protected

The row range of mdata that is actually used.

Definition at line 227 of file matpackIV.h.

Referenced by Tensor4View::begin(), begin(), Tensor4View::end(), end(), Tensor4View::get(), get(), Tensor4View::get_c_array(), nrows(), ConstIterator5D::operator!=(), Iterator5D::operator!=(), Tensor4View::operator()(), operator()(), Tensor4View::operator=(), Tensor4::resize(), and swap().

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

Public Member Functions

Protected Member Functions

Protected Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ ~ConstTensor4View()

◆ ConstTensor4View() [1/4]

◆ ConstTensor4View() [2/4]

◆ ConstTensor4View() [3/4]

◆ ConstTensor4View() [4/4]

Member Function Documentation

◆ begin()

◆ end()

◆ get()

◆ nbooks()

◆ ncols()

◆ npages()

◆ nrows()

◆ operator()() [1/16]

◆ operator()() [2/16]

◆ operator()() [3/16]

◆ operator()() [4/16]

◆ operator()() [5/16]

◆ operator()() [6/16]

◆ operator()() [7/16]

◆ operator()() [8/16]

◆ operator()() [9/16]

◆ operator()() [10/16]

◆ operator()() [11/16]

◆ operator()() [12/16]

◆ operator()() [13/16]

◆ operator()() [14/16]

◆ operator()() [15/16]

◆ operator()() [16/16]

Friends And Related Function Documentation

◆ ConstIterator5D

◆ ConstTensor5View

◆ ConstTensor6View

◆ ConstTensor7View

◆ Tensor4View

Member Data Documentation

◆ mbr

◆ mcr

◆ mdata

◆ mpr

◆ mrr