matpack_complex.h File Reference

#include "lapack.h"
#include "matpackI.h"
#include "nonstd.h"
#include <complex>
#include <utility>

Go to the source code of this file.

Classes
struct	ComplexLayout
class	ComplexIterator1D
	The iterator class for sub vectors. More...
class	ConstComplexIterator1D
	The constant iterator class for sub vectors. More...
class	ConstComplexVectorView
	A constant view of a ComplexVector. More...
class	ComplexVectorView
	The ComplexVectorView class. More...
class	ComplexIterator2D
	The row iterator class for sub matrices. More...
class	ConstComplexIterator2D
	The const row iterator class for sub matrices. More...
class	ComplexVector
	The ComplexVector class. More...
class	ConstComplexMatrixView
	A constant view of a ComplexMatrix. More...
class	ComplexMatrixView
	The ComplexMatrixView class. More...
class	ComplexMatrix
	The ComplexMatrix class. More...

Macros
#define	a1   c.real()
#define	b1   c.imag()
#define	a2   z.real()
#define	b2   z.imag()
#define	_complex_operations_(T)

Typedefs
using	Complex = std::complex< Numeric >
using	ComplexMatrixType = Eigen::Matrix< Complex, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor >
using	ComplexMatrixViewMap = Eigen::Map< ComplexMatrixType, 0, StrideType >
using	ConstComplexMatrixViewMap = Eigen::Map< const ComplexMatrixType, 0, StrideType >
using	ArrayOfComplexVector = Array< ComplexVector >
using	ArrayOfComplexMatrix = Array< ComplexMatrix >

Functions
Numeric &	real_val (Complex &c) noexcept
	Return a reference to the real value of c. More...
Numeric &	imag_val (Complex &c) noexcept
	Return a reference to the imaginary value of c. More...
const Numeric &	real_val (const Complex &c) noexcept
	Return a const reference to the real value of c. More...
const Numeric &	imag_val (const Complex &c) noexcept
	Return a const reference to the imaginary value of c. More...
std::complex< float >	operator+ (const double &d, const std::complex< float > &c)
std::complex< float >	operator* (const double &d, const std::complex< float > &c)
std::complex< float >	operator+ (const std::complex< float > &c, const double &d)
std::complex< float >	operator* (const std::complex< float > &c, const double &d)
constexpr Numeric	abs2 (Complex c) noexcept
	squared magnitude of c More...
constexpr Complex	conj (Complex c) noexcept
	the conjugate of c More...
constexpr Numeric	real (Complex c) noexcept
	real More...
constexpr Numeric	imag (Complex c) noexcept
	imag More...
constexpr Complex	operator+ (Complex c, Numeric n) noexcept
constexpr Complex	operator- (Complex c, Numeric n) noexcept
constexpr Complex	operator* (Complex c, Numeric n) noexcept
constexpr Complex	operator/ (Complex c, Numeric n) noexcept
constexpr Complex	operator+ (Numeric n, Complex c) noexcept
constexpr Complex	operator- (Numeric n, Complex c) noexcept
constexpr Complex	operator* (Numeric n, Complex c) noexcept
constexpr Complex	operator/ (Numeric n, Complex c) noexcept
constexpr Complex	operator+ (Complex c, Complex z) noexcept
constexpr Complex	operator- (Complex c, Complex z) noexcept
constexpr Complex	operator* (Complex c, Complex z) noexcept
constexpr Complex	operator/ (Complex c, Complex z) noexcept
constexpr Complex	operator- (Complex c) noexcept
	_complex_operations_ (int) _complex_operations_(float) _complex_operations_(Index) const expr bool isnan(Complex c) noexcept
ConstComplexMatrixView	transpose (ConstComplexMatrixView m)
	Const version of transpose. More...
ComplexMatrixView	transpose (ComplexMatrixView m)
	Returns the transpose. More...
void	copy (ConstComplexIterator1D origin, const ConstComplexIterator1D &end, ComplexIterator1D target)
	Copy data between begin and end to target. More...
void	copy (Complex x, ComplexIterator1D target, const ComplexIterator1D &end)
	Copy a scalar to all elements. More...
void	copy (ConstComplexIterator2D origin, const ConstComplexIterator2D &end, ComplexIterator2D target)
	Copy data between begin and end to target. More...
void	copy (Complex x, ComplexIterator2D target, const ComplexIterator2D &end)
	Copy a scalar to all elements. More...
void	mult (ComplexVectorView y, const ConstComplexMatrixView &M, const ConstComplexVectorView &x)
	Matrix-Vector Multiplication. More...
void	mult (ComplexMatrixView A, const ConstComplexMatrixView &B, const ConstComplexMatrixView &C)
	Matrix-Matrix Multiplication. More...
void	mult (ComplexMatrixView A, const ConstMatrixView &B, const ConstComplexMatrixView &C)
void	mult (ComplexMatrixView A, const ConstComplexMatrixView &B, const ConstMatrixView &C)
void	mult (ComplexMatrixView A, const ConstMatrixView &B, const ConstMatrixView &C)
Complex	operator* (const ConstComplexVectorView &a, const ConstComplexVectorView &b)
	Scalar product. More...
std::ostream &	operator<< (std::ostream &os, const ConstComplexVectorView &v)
	Output operator. More...
std::ostream &	operator<< (std::ostream &os, const ConstComplexMatrixView &v)
	Output operator. More...
ConstComplexMatrixViewMap	MapToEigen (const ConstComplexMatrixView &A)
ConstComplexMatrixViewMap	MapToEigen (const ConstComplexVectorView &A)
ConstComplexMatrixViewMap	MapToEigenRow (const ConstComplexVectorView &A)
ConstComplexMatrixViewMap	MapToEigenCol (const ConstComplexVectorView &A)
ComplexMatrixViewMap	MapToEigen (ComplexMatrixView &A)
ComplexMatrixViewMap	MapToEigen (ComplexVectorView &A)
ComplexMatrixViewMap	MapToEigenRow (ComplexVectorView &A)
ComplexMatrixViewMap	MapToEigenCol (ComplexVectorView &A)

Variables
const Joker	joker

Macro Definition Documentation

_complex_operations_

#define _complex_operations_

(

T

)

Value:

  constexpr Complex operator+(Complex c, T x) noexcept {   \
    return operator+(c, static_cast<Numeric>(x)); \
  }                                               \
  constexpr Complex operator-(Complex c, T x) noexcept {   \
    return operator-(c, static_cast<Numeric>(x)); \
  }                                               \
  constexpr Complex operator*(Complex c, T x) noexcept {   \
    return operator*(c, static_cast<Numeric>(x)); \
  }                                               \
  constexpr Complex operator/(Complex c, T x) noexcept {   \
    return operator/(c, static_cast<Numeric>(x)); \
  }                                               \
                                                  \
  constexpr Complex operator+(T x, Complex c) noexcept {   \
    return operator+(static_cast<Numeric>(x), c); \
  }                                               \
  constexpr Complex operator-(T x, Complex c) noexcept {   \
    return operator-(static_cast<Numeric>(x), c); \
  }                                               \
  constexpr Complex operator*(T x, Complex c) noexcept {   \
    return operator*(static_cast<Numeric>(x), c); \
  }                                               \
  constexpr Complex operator/(T x, Complex c) noexcept {   \
    return operator/(static_cast<Numeric>(x), c); \
  }

Definition at line 140 of file matpack_complex.h.

a1

#define a1   c.real()

Definition at line 71 of file matpack_complex.h.

a2

#define a2   z.real()

Definition at line 73 of file matpack_complex.h.

b1

#define b1   c.imag()

Definition at line 72 of file matpack_complex.h.

b2

#define b2   z.imag()

Definition at line 74 of file matpack_complex.h.

Typedef Documentation

ArrayOfComplexMatrix

using ArrayOfComplexMatrix = Array<ComplexMatrix>

Definition at line 992 of file matpack_complex.h.

ArrayOfComplexVector

using ArrayOfComplexVector = Array<ComplexVector>

Definition at line 991 of file matpack_complex.h.

Complex

using Complex = std::complex<Numeric>

Definition at line 35 of file matpack_complex.h.

ComplexMatrixType

using ComplexMatrixType = Eigen::Matrix<Complex, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor>

Definition at line 193 of file matpack_complex.h.

ComplexMatrixViewMap

using ComplexMatrixViewMap = Eigen::Map<ComplexMatrixType, 0, StrideType>

Definition at line 194 of file matpack_complex.h.

ConstComplexMatrixViewMap

using ConstComplexMatrixViewMap = Eigen::Map<const ComplexMatrixType, 0, StrideType>

Definition at line 195 of file matpack_complex.h.

Function Documentation

_complex_operations_()

_complex_operations_ ( int  ) const

noexcept

Definition at line 167 of file matpack_complex.h.

References c, and nonstd::isnan().

abs2()

constexpr Numeric abs2 ( Complex  c )

constexprnoexcept

squared magnitude of c

Definition at line 77 of file matpack_complex.h.

References a1, and b1.

Referenced by operator/(), and test02().

conj()

constexpr Complex conj ( Complex  c )

constexprnoexcept

the conjugate of c

Definition at line 80 of file matpack_complex.h.

References a1, and b1.

Referenced by ampmat_to_phamat(), LineShape::cutoff_frequency_loop(), LineShape::frequency_loop(), and surface_specular_R_and_b().

copy() [1/4]

void copy	(	Complex	x,
		ComplexIterator1D	target,
		const ComplexIterator1D &	end
	)

Copy a scalar to all elements.

Definition at line 491 of file matpack_complex.cc.

References Zeeman::end().

copy() [2/4]

void copy	(	Complex	x,
		ComplexIterator2D	target,
		const ComplexIterator2D &	end
	)

Copy a scalar to all elements.

Definition at line 1336 of file matpack_complex.cc.

References ComplexVectorView::begin(), and Zeeman::end().

copy() [3/4]

void copy	(	ConstComplexIterator1D	origin,
		const ConstComplexIterator1D &	end,
		ComplexIterator1D	target
	)

Copy data between begin and end to target.

Target must be a valid area of memory. Note that the strides in the iterators can be different, so that we can for example copy data between different kinds of subvectors.

Definition at line 227 of file matpack_complex.cc.

Referenced by ComplexMatrix::ComplexMatrix(), ComplexVector::ComplexVector(), ComplexMatrix::operator=(), Array< base >::operator=(), ArrayOfSpeciesTag::operator=(), ComplexMatrixView::operator=(), and ComplexVectorView::operator=().

copy() [4/4]

void copy	(	ConstComplexIterator2D	origin,
		const ConstComplexIterator2D &	end,
		ComplexIterator2D	target
	)

Copy data between begin and end to target.

Target must be a valid area of memory. Note that the strides in the iterators can be different, so that we can for example copy data between different kinds of subvectors.

Origin, end, and target are 2D iterators, marking rows in a matrix. For each row the 1D iterator is obtained and used to copy the elements.

Definition at line 1324 of file matpack_complex.cc.

References ConstComplexVectorView::begin(), and Zeeman::end().

imag()

constexpr Numeric imag ( Complex  c )

constexprnoexcept

imag

Definition at line 86 of file matpack_complex.h.

References b1.

Referenced by dtransmat3(), get_maximum_error(), imag_val(), surface_specular_R_and_b(), test03(), test_ls(), and transmat3().

imag_val() [1/2]

Numeric & imag_val ( Complex &  c )

inlinenoexcept

Return a reference to the imaginary value of c.

Definition at line 42 of file matpack_complex.h.

References c, and imag().

Referenced by main(), LineShape::SpeedDependentVoigt::operator()(), and LineShape::HartmannTran::operator()().

imag_val() [2/2]

const Numeric & imag_val ( const Complex &  c )

inlinenoexcept

Return a const reference to the imaginary value of c.

Definition at line 48 of file matpack_complex.h.

References c, and imag().

MapToEigen() [1/4]

ComplexMatrixViewMap MapToEigen

(

ComplexMatrixView &

A

)

Definition at line 740 of file matpack_complex.cc.

MapToEigen() [2/4]

ComplexMatrixViewMap MapToEigen

(

ComplexVectorView &

A

)

Definition at line 357 of file matpack_complex.cc.

MapToEigen() [3/4]

ConstComplexMatrixViewMap MapToEigen

(

const ConstComplexMatrixView &

A

)

Definition at line 739 of file matpack_complex.cc.

Referenced by MapToEigenRow(), and mult().

MapToEigen() [4/4]

ConstComplexMatrixViewMap MapToEigen

(

const ConstComplexVectorView &

A

)

Definition at line 355 of file matpack_complex.cc.

MapToEigenCol() [1/2]

ComplexMatrixViewMap MapToEigenCol

(

ComplexVectorView &

A

)

Definition at line 358 of file matpack_complex.cc.

References ARTS_ASSERT, ComplexVectorView::begin(), ConstComplexVectorView::begin(), and ConstComplexVectorView::nelem().

MapToEigenCol() [2/2]

ConstComplexMatrixViewMap MapToEigenCol

(

const ConstComplexVectorView &

A

)

Definition at line 356 of file matpack_complex.cc.

MapToEigenRow() [1/2]

ComplexMatrixViewMap MapToEigenRow

(

ComplexVectorView &

A

)

Definition at line 1709 of file matpack_complex.cc.

References MapToEigen().

MapToEigenRow() [2/2]

ConstComplexMatrixViewMap MapToEigenRow

(

const ConstComplexVectorView &

A

)

Definition at line 1679 of file matpack_complex.cc.

References MapToEigen().

mult() [1/5]

void mult	(	ComplexMatrixView	A,
		const ConstComplexMatrixView &	B,
		const ConstComplexMatrixView &	C
	)

Matrix-Matrix Multiplication.

Uses the Eigen library. Be carful to test the size of your input beforehand. Note that to keep speed, the inputs should be different variables. There is memory duplication if this is not the case. Note that it is mdata that is checked, so even if the matrices are at different parts of a tensor, there is still a slowdown

Parameters

[in,out]	A	The matrix A, that will hold the result of the multiplication.
[in]	B	The matrix B
[in]	C	The matrix C

Definition at line 728 of file matpack_complex.cc.

mult() [2/5]

void mult	(	ComplexMatrixView	A,
		const ConstComplexMatrixView &	B,
		const ConstMatrixView &	C
	)

Definition at line 734 of file matpack_complex.cc.

mult() [3/5]

void mult	(	ComplexMatrixView	A,
		const ConstMatrixView &	B,
		const ConstComplexMatrixView &	C
	)

Definition at line 731 of file matpack_complex.cc.

mult() [4/5]

void mult	(	ComplexMatrixView	A,
		const ConstMatrixView &	B,
		const ConstMatrixView &	C
	)

Definition at line 1650 of file matpack_complex.cc.

References ARTS_ASSERT, MapToEigen(), ConstComplexMatrixView::ncols(), ConstMatrixView::ncols(), ConstComplexMatrixView::nrows(), and ConstMatrixView::nrows().

mult() [5/5]

void mult	(	ComplexVectorView	y,
		const ConstComplexMatrixView &	M,
		const ConstComplexVectorView &	x
	)

Matrix-Vector Multiplication.

Uses the Eigen library. Be carful to test the size of your input beforehand.

For left-hand multiplication, please use pure matrix-mult.

Parameters

[out]	y	The length-m ComplexVectorView where the result is stored.
[in]	M	Reference to the m-times-n Const{Complex,}MatrixView holding the matrix M.
[in]	x	Reference to the length-n Const{Complex,}VectorView holding the vector x.

Definition at line 351 of file matpack_complex.cc.

operator*() [1/6]

constexpr Complex operator* ( Complex  c, Complex  z  )

constexprnoexcept

Definition at line 123 of file matpack_complex.h.

References a1, a2, b1, and b2.

operator*() [2/6]

constexpr Complex operator* ( Complex  c, Numeric  n  )

constexprnoexcept

Definition at line 97 of file matpack_complex.h.

References a1, and b1.

operator*() [3/6]

Complex operator*	(	const ConstComplexVectorView &	a,
		const ConstComplexVectorView &	b
	)

Scalar product.

The two vectors may be identical.

Definition at line 334 of file matpack_complex.cc.

operator*() [4/6]

std::complex< float > operator* ( const double &  d, const std::complex< float > &  c  )

inline

Definition at line 54 of file matpack_complex.h.

References c, and d.

operator*() [5/6]

std::complex< float > operator* ( const std::complex< float > &  c, const double &  d  )

inline

Definition at line 63 of file matpack_complex.h.

References c, and d.

operator*() [6/6]

constexpr Complex operator* ( Numeric  n, Complex  c  )

constexprnoexcept

Definition at line 110 of file matpack_complex.h.

References a1, and b1.

operator+() [1/5]

constexpr Complex operator+ ( Complex  c, Complex  z  )

constexprnoexcept

Definition at line 117 of file matpack_complex.h.

References a1, a2, b1, and b2.

operator+() [2/5]

constexpr Complex operator+ ( Complex  c, Numeric  n  )

constexprnoexcept

Definition at line 91 of file matpack_complex.h.

References a1, and b1.

operator+() [3/5]

std::complex< float > operator+ ( const double &  d, const std::complex< float > &  c  )

inline

Definition at line 50 of file matpack_complex.h.

References c, and d.

operator+() [4/5]

std::complex< float > operator+ ( const std::complex< float > &  c, const double &  d  )

inline

Definition at line 59 of file matpack_complex.h.

References c, and d.

operator+() [5/5]

constexpr Complex operator+ ( Numeric  n, Complex  c  )

constexprnoexcept

Definition at line 104 of file matpack_complex.h.

References a1, and b1.

operator-() [1/4]

constexpr Complex operator- ( Complex  c )

constexprnoexcept

Definition at line 129 of file matpack_complex.h.

References a1, and b1.

operator-() [2/4]

constexpr Complex operator- ( Complex  c, Complex  z  )

constexprnoexcept

Definition at line 120 of file matpack_complex.h.

References a1, a2, b1, and b2.

operator-() [3/4]

constexpr Complex operator- ( Complex  c, Numeric  n  )

constexprnoexcept

Definition at line 94 of file matpack_complex.h.

References a1, and b1.

operator-() [4/4]

constexpr Complex operator- ( Numeric  n, Complex  c  )

constexprnoexcept

Definition at line 107 of file matpack_complex.h.

References a1, and b1.

operator/() [1/3]

constexpr Complex operator/ ( Complex  c, Complex  z  )

constexprnoexcept

Definition at line 126 of file matpack_complex.h.

References a1, a2, abs2(), b1, and b2.

operator/() [2/3]

constexpr Complex operator/ ( Complex  c, Numeric  n  )

constexprnoexcept

Definition at line 100 of file matpack_complex.h.

References a1, and b1.

operator/() [3/3]

constexpr Complex operator/ ( Numeric  n, Complex  c  )

constexprnoexcept

Definition at line 113 of file matpack_complex.h.

References a1, abs2(), b1, and c.

operator<<() [1/2]

std::ostream & operator<<	(	std::ostream &	os,
		const ConstComplexMatrixView &	v
	)

Output operator.

This demonstrates how iterators can be used to traverse the matrix. The iterators know which part of the matrix is ‘active’, and also the strides in both directions. This function is a bit more complicated than necessary to illustrate the concept, because the formating should look nice. This means that the first row, and the first element in each row, have to be treated individually.

Definition at line 878 of file matpack_complex.cc.

References ConstComplexVectorView::begin(), ConstComplexVectorView::end(), and v.

operator<<() [2/2]

std::ostream & operator<<	(	std::ostream &	os,
		const ConstComplexVectorView &	v
	)

Output operator.

This demonstrates how iterators can be used to traverse the vector. The iterators know which part of the vector is ‘active’, and also the stride.

Definition at line 132 of file matpack_complex.cc.

References Zeeman::end(), and v.

real()

constexpr Numeric real ( Complex  c )

constexprnoexcept

real

Definition at line 83 of file matpack_complex.h.

References a1.

Referenced by ampmat_to_phamat(), lm_hitran_2017::compabs(), dtransmat3(), LineShape::ComputeData::enforce_positive_absorption(), get_maximum_error(), real_val(), surface_specular_R_and_b(), test03(), test_ls(), and transmat3().

real_val() [1/2]

Numeric & real_val ( Complex &  c )

inlinenoexcept

Return a reference to the real value of c.

Definition at line 39 of file matpack_complex.h.

References c, and real().

Referenced by Absorption::LineMixing::ecs_absorption_impl(), main(), and LineShape::Voigt::operator()().

real_val() [2/2]

const Numeric & real_val ( const Complex &  c )

inlinenoexcept

Return a const reference to the real value of c.

Definition at line 45 of file matpack_complex.h.

References c, and real().

transpose() [1/2]

ComplexMatrixView transpose

(

ComplexMatrixView

m

)

Returns the transpose.

This creates a special MatrixView for the transpose. The original is not changed!

Definition at line 877 of file matpack_complex.cc.

transpose() [2/2]

ConstComplexMatrixView transpose

(

ConstComplexMatrixView

m

)

Const version of transpose.

Definition at line 724 of file matpack_complex.cc.

Referenced by Append(), lm_hitran_2017::calcw(), generate_test_data(), HydrotableCalc(), jacobianSetAffineTransformation(), lsf(), matrix_vector_mult(), MCRadar(), CovarianceMatrix::operator Matrix(), operator+=(), random_fill_matrix_pos_def(), random_fill_matrix_pos_semi_def(), random_fill_matrix_symmetric(), rtmethods_jacobian_finalisation(), test03(), test1(), test33(), test41(), test42(), test5(), test_dense_sparse_multiplication(), test_diagonal(), test_sparse_dense_multiplication(), transform_x(), transpose(), and WMRFSelectChannels().

Variable Documentation

joker

const Joker joker

extern

Referenced by abs_linesRemoveLinesFromSpecies(), abs_lookupSetup(), abs_vecTransform(), abs_xsec_per_speciesAddConts(), abs_xsec_per_speciesAddLines(), AbsInputFromAtmFields(), GasAbsLookup::Adapt(), RadiationVector::add_weighted(), PropagationMatrix::AddAtPosition(), Species::all_have_ratio(), Species::IsotopologueRatios::all_isotopes_have_a_value(), antenna1d_matrix(), antenna2d_interp_response(), antenna_responseGaussian(), antenna_responseVaryingGaussian(), AntennaConstantGaussian1D(), AntennaMultiBeamsToPencilBeams(), Append(), CIARecord::AppendDataset(), atm_fields_compactAddConstant(), atm_fields_compactAddSpecies(), atm_fields_compactCreateFromField(), atm_fields_compactExpand(), atm_fields_compactFromMatrix(), AtmFieldPRegrid(), AtmFieldsAndParticleBulkPropFieldFromCompact(), AtmFieldsExtract1D(), atmgeom_checkedCalc(), Absorption::LineMixing::band_eigenvalue_adaptation(), bulk_backscatter(), bulk_backscatter_derivative(), calc_ssp_fixed_test(), calc_ssp_random_test(), XsecRecord::CalcXsec(), clear_rt_vars_at_gp(), cloud_atm_vars_by_gp(), cloud_fieldsCalc(), cloud_ppath_update1D_planeparallel(), cloud_ppath_update3D(), cloud_RT_no_background(), cloud_RT_surface(), cloudbox_checkedCalc(), cloudbox_field_monoOptimizeReverse(), cloudbox_field_monoSetConst(), cloudbox_field_ngAcceleration(), cloudbox_fieldCrop(), cloudbox_fieldSetClearsky(), cloudbox_fieldSetConst(), cloudbox_fieldSetConstPerFreq(), cloudbox_fieldSetFromPrecalc(), cloudbox_fieldUpdateSeq1D(), cloudbox_fieldUpdateSeq3D(), cloudboxSetAutomatically(), cloudy_rt_vars_at_gp(), complex_n_interp(), complex_refr_indexConstant(), complex_refr_indexIceMatzler06(), complex_refr_indexWaterLiebe93(), compute_transmission_matrix(), compute_transmission_matrix_and_derivative(), ConvertAzimuthallyRandomSingleScatteringData(), defocusing_general_sub(), DisortCalc(), DisortCalcWithARTSSurface(), PropagationMatrix::DivideAtPosition(), diy_from_path_to_rgrids(), diy_from_pos_to_rgrids(), doit_scat_fieldCalc(), doit_scat_fieldCalcLimb(), doit_scat_fieldNormalize(), DoitCalc(), DoitGetIncoming(), DoitGetIncoming1DAtm(), DoitScatteringDataPrepare(), MCAntenna::draw_los(), Zeeman::dsum(), ecs_dataSetMeanAir(), Absorption::LineMixing::ecs_eigenvalue_adaptation_test(), ELL07WaterDropletAbs(), EnergyLevelMap::EnergyLevelMap(), LineShape::ComputeData::enforce_positive_absorption(), ext_matTransform(), Extract(), FieldFromGriddedField(), find_cloudlimits(), Flatten(), FouComp_1ScatElem(), get_gasoptprop(), get_iy_of_background(), get_parZ(), get_pfct(), get_pmom(), get_ppath_atmvars(), get_ppath_cloudvars(), get_ppath_f(), get_ppath_transmat(), get_refr_index_1d(), get_refr_index_2d(), get_refr_index_3d(), get_stepwise_scattersky_propmat(), get_stepwise_scattersky_source(), PropagationMatrix::GetTensor3(), GriddedFieldLatLonExpand(), GriddedFieldLatLonRegrid(), GriddedFieldPRegrid(), GriddedFieldZToPRegrid(), lm_hitran_2017::hitran_lm_eigenvalue_adaptation_test(), HydrotableCalc(), interp(), interp_atmfield_by_itw(), interp_atmsurface_by_itw(), interp_cloud_coeff1D(), interpolate_scat_angle(), EnergyLevelMap::InterpToGridPos(), IntersectionGeometricalWithAltitude(), irradiance_fieldFromRadiance(), PropagationMatrix::IsZero(), iy_transmittance_mult(), iy_transmitterMultiplePol(), iy_transmitterSinglePol(), iyApplyUnit(), iyb_calc(), iyb_calc_body(), iyEmissionHybrid(), iyEmissionStandard(), iyIndependentBeamApproximation(), iyInterpCloudboxField(), iyLoopFrequencies(), iyMC(), iyRadarSingleScat(), iySurfaceFastem(), iySurfaceRtpropAgenda(), iySurfaceRtpropCalc(), iyTransmissionStandard(), jacobianAdjustAndTransform(), jacobianCalcPointingZaInterp(), jacobianCalcPointingZaRecalc(), jacobianFromYbatch(), PropagationMatrix::K12(), PropagationMatrix::K13(), PropagationMatrix::K14(), PropagationMatrix::K23(), PropagationMatrix::K24(), PropagationMatrix::K34(), PropagationMatrix::Kjj(), MagFieldsCalc(), MagFieldsFromAltitudeRawCalc(), main(), MapToEigen(), MapToEigen4x4(), Matrix1ColFromVector(), Matrix1RowFromVector(), Matrix2ColFromVectors(), Matrix2RowFromVectors(), Matrix3ColFromVectors(), Matrix3RowFromVectors(), matrix_exp_dmatrix_exp(), matrix_vector_mult(), MatrixCBR(), MatrixExtractFromTensor3(), MatrixPlanck(), mblock_dlos_gridUniformCircular(), MCGeneral(), mcPathTraceRadar(), MCRadar(), MPM85O2AbsModel(), MPM87O2AbsModel(), MPM89O2AbsModel(), MPM92O2AbsModel(), MPM93_O2_continuum(), MPM93IceCrystalAbs(), MPM93O2AbsModel(), MPM93RainExt(), MPM93WaterDropletAbs(), mult(), PropagationMatrix::MultiplyAtPosition(), nlte_fieldForSingleSpeciesNonOverlappingLines(), nlte_sourceFromTemperatureAndSrcCoefPerSpecies(), EnergyLevelMap::operator()(), StokesVector::operator+=(), StokesVector::operator=(), TelsemAtlas::operator[](), EnergyLevelMap::operator[](), opt_prop_1ScatElem(), opt_prop_NScatElems(), opt_prop_ScatSpecBulk(), opt_prop_sptFromData(), opt_prop_sptFromMonoData(), opt_prop_sptFromScat_data(), particle_bulkprop_fieldPerturb(), particle_bulkprop_fieldPerturbAtmGrids(), particle_bulkpropRadarOnionPeeling(), pha_mat_1ScatElem(), pha_mat_NScatElems(), pha_mat_ScatSpecBulk(), pha_mat_sptFromData(), pha_mat_sptFromDataDOITOpt(), pha_mat_sptFromMonoData(), pha_mat_sptFromScat_data(), pha_matTransform(), pnd_fieldCalcFromParticleBulkProps(), pnd_fieldCalcFrompnd_field_raw(), pndFromPsd(), ppath_calc(), ppath_copy(), ppath_fieldCalc(), ppath_start_stepping(), ppath_step_refr_1d(), ppath_step_refr_2d(), ppath_stepGeometric(), ppath_stepRefractionBasic(), ppathCalcFromAltitude(), ppathFromRtePos2(), ppathPlaneParallel(), ppvar_optical_depthFromPpvar_trans_cumulat(), propmat4x4_to_transmat4x4(), propmat_clearsky_fieldCalc(), propmat_clearskyAddFromAbsCoefPerSpecies(), propmat_clearskyAddFromLookup(), propmat_clearskyAddLines(), propmat_clearskyAddParticles(), psd_mgd_mass_and_something(), psdModifiedGamma(), psdModifiedGammaMass(), PWR93O2AbsModel(), regrid_atmfield_by_gp(), regrid_atmfield_by_gp_oem(), regrid_atmsurf_by_gp(), regrid_atmsurf_by_gp_oem(), PropagationMatrix::RemoveAtPosition(), MCAntenna::return_los(), rotmat_stokes(), rte_pos2gridpos(), rte_poslosFromECEF(), rte_poslosFromGeodetic(), rtmethods_jacobian_finalisation(), rtmethods_unit_conversion(), run_cdisort(), Sample_los(), scat_data_monoExtract(), scat_dataCalc(), scat_dataCheck(), scat_dataReduceT(), ScatSpeciesExtendTemperature(), ScatSpeciesMerge(), Select(), sensor_aux_vectors(), sensor_checkedCalc(), sensor_losGeometricFromSensorPosToOtherPositions(), sensor_losReverse(), sensor_responseAntenna(), sensor_responseGenericAMSU(), sensor_responseMetMM(), sensor_responseSimpleAMSU(), set_constant_statistical_equilibrium_matrix(), set_vmr_from_first_species(), StokesVector::SetAtPosition(), PropagationMatrix::SetAtPosition(), special_matrix_exp_and_dmatrix_exp_dx_for_rt(), spectral_irradiance_fieldFromSpectralRadianceField(), spectral_radiance_fieldClearskyPlaneParallel(), spectral_radiance_fieldExpandCloudboxField(), specular_losCalc(), stepwise_source(), Zeeman::sum(), surf_albedoCalc(), surf_albedoCalcSingleAngle(), surf_radius_at_l(), surface_calc(), surface_complex_refr_indexFromGriddedField5(), surface_props_interp(), surface_reflectivityFromGriddedField6(), surface_scalar_reflectivityFromGriddedField4(), SurfaceBlackbody(), surfaceFastem(), surfaceFlatReflectivity(), surfaceFlatRefractiveIndex(), surfaceFlatRvRh(), surfaceFlatScalarReflectivity(), Tensor3ExtractFromTensor4(), Tensor3FromVector(), test01(), test03(), test04(), test06(), test1(), test36(), test4(), test40(), test42(), test47(), test6(), test7(), test9(), test_dense_sparse_multiplication(), test_insert_row(), test_ls(), test_matrix_exp_propmat(), test_sparse_dense_multiplication(), transform_jacobian(), TRE05O2AbsModel(), update_radiation_vector(), StokesVector::VectorAtPosition(), VectorExtractFromMatrix(), vmr_fieldPerturb(), vmr_fieldPerturbAtmGrids(), WindFieldsCalc(), x2artsAtmAndSurf(), xsec_continuum_tag(), yApplySensorPol(), ybatchMetProfiles(), ybatchMetProfilesClear(), yCalc_mblock_loop_body(), yCalcAppend(), yRadar(), ySimpleSpectrometer(), z_at_lat_2d(), z_at_latlon(), za_gridOpt(), and zeeman_on_the_fly().