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	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...

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 975 of file matpack_complex.h.

ArrayOfComplexVector

using ArrayOfComplexVector = Array<ComplexVector>

Definition at line 974 of file matpack_complex.h.

Complex

using Complex = std::complex<Numeric>

Definition at line 35 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 468 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 1287 of file matpack_complex.cc.

References ComplexVectorView::begin(), Constant::e, ComplexVectorView::end(), 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 222 of file matpack_complex.cc.

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

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 1275 of file matpack_complex.cc.

References ComplexVectorView::begin(), ConstComplexVectorView::begin(), Constant::e, ConstComplexVectorView::end(), 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().

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 734 of file matpack_complex.cc.

mult() [2/5]

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

Definition at line 740 of file matpack_complex.cc.

mult() [3/5]

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

Definition at line 737 of file matpack_complex.cc.

mult() [4/5]

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

Definition at line 1604 of file matpack_complex.cc.

References ARTS_ASSERT, matpack::eigen::mat(), 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 347 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 330 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.

real()

constexpr Numeric real ( Complex  c )

constexprnoexcept

real

Definition at line 83 of file matpack_complex.h.

References a1.

Referenced by ampmat_to_phamat(), calcSingleScatteringDataProperties(), lm_hitran_2017::compabs(), dtransmat3(), LineShape::ComputeData::enforce_positive_absorption(), get_maximum_error(), real_val(), refractive_index_water_and_steam_VisNIR(), 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(), Absorption::LineMixing::ecs_relaxation_matrix(), 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 879 of file matpack_complex.cc.

transpose() [2/2]

ConstComplexMatrixView transpose

(

ConstComplexMatrixView

m

)

Const version of transpose.

Definition at line 730 of file matpack_complex.cc.

Referenced by Append(), lm_hitran_2017::calcw(), generate_test_data(), HydrotableCalc(), jacobianSetAffineTransformation(), matrix_mult(), 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(), test46(), test5(), test_dense_sparse_multiplication(), test_diagonal(), test_sparse_dense_multiplication(), test_sparse_multiplication(), test_sparse_unary_operations(), transform_x(), transpose(), WMRFSelectChannels(), and yApplyUnit().

Variable Documentation

joker

const Joker joker

extern

Referenced by abs_linesRemoveLinesFromSpecies(), abs_vecTransform(), abs_xsec_per_speciesAddCIA(), abs_xsec_per_speciesAddXsecFit(), AbsInputFromAtmFields(), GasAbsLookup::Adapt(), RadiationVector::add_weighted(), PropagationMatrix::AddAtPosition(), Species::all_have_ratio(), Species::IsotopologueRatios::all_isotopes_have_a_value(), antenna1d_matrix(), antenna2d_gridded_dlos(), 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(), AtmFieldsCalc(), AtmFieldsExtract1D(), atmgeom_checkedCalc(), Absorption::LineMixing::band_eigenvalue_adaptation(), bulk_backscatter(), bulk_backscatter_derivative(), calc_ssp_fixed_test(), calc_ssp_random_test(), calcSingleScatteringDataProperties(), XsecRecord::CalcXsec(), cia_interpolation(), 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_indexTemperatureConstant(), complex_refr_indexWaterLiebe93(), complex_refr_indexWaterVisibleNIRHarvey98(), compute_transmission_matrix(), compute_transmission_matrix_and_derivative(), ConvertAzimuthallyRandomSingleScatteringData(), defocusing_general_sub(), DisortCalc(), DisortCalcIrradiance(), 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_dataAddMeanAir(), Absorption::LineMixing::ecs_eigenvalue_adaptation_test(), Absorption::LineMixing::ecs_eigenvalue_approximation(), ELL07WaterDropletAbs(), EnergyLevelMap::EnergyLevelMap(), LineShape::ComputeData::enforce_positive_absorption(), ext_abs_pfun_from_tro(), ext_matTransform(), Extract(), GasAbsLookup::Extract(), FastemStandAlone(), field_of_propagation(), FieldFromGriddedField(), find_cloudlimits(), Flatten(), FouComp_1ScatElem(), get_direct_radiation(), get_gas_scattering_properties(), 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_scattered_starsource(), get_star_background(), get_stepwise_scattersky_propmat(), get_stepwise_scattersky_source(), PropagationMatrix::GetTensor3(), GriddedFieldLatLonExpand(), GriddedFieldLatLonRegrid(), GriddedFieldPRegrid(), GriddedFieldZToPRegrid(), lm_hitran_2017::hitran_lm_eigenvalue_adaptation_test(), lm_hitran_2017::hitran_lm_eigenvalue_approximation(), HydrotableCalc(), interp(), interp_atmfield_by_itw(), interp_atmsurface_by_itw(), interp_cloud_coeff1D(), interp_scat_angle_temperature(), interpolate_scat_angle(), EnergyLevelMap::InterpToGridPos(), IntersectionGeometricalWithAltitude(), irradiance_fieldFromRadiance(), PropagationMatrix::IsZero(), iy_transmittance_mult(), iy_transmitterMultiplePol(), iy_transmitterSinglePol(), iyApplyUnit(), iyb_calc(), iyb_calc_body(), iyClearsky(), iyEmissionHybrid(), iyEmissionStandard(), iyIndependentBeamApproximation(), iyInterpCloudboxField(), iyLoopFrequencies(), iyMC(), iyRadarSingleScat(), iySurfaceFastem(), iySurfaceFlatReflectivityDirect(), iySurfaceFlatRefractiveIndexDirect(), iySurfaceLambertian(), iySurfaceLambertianDirect(), iySurfaceRtpropAgenda(), iySurfaceRtpropCalc(), iyTransmissionStandard(), jacobianAdjustAndTransform(), jacobianCalcPointingZaInterp(), jacobianCalcPointingZaRecalc(), jacobianFromYbatch(), PropagationMatrix::K12(), PropagationMatrix::K13(), PropagationMatrix::K14(), PropagationMatrix::K23(), PropagationMatrix::K24(), PropagationMatrix::K34(), PropagationMatrix::Kjj(), line_irradianceCalcForSingleSpeciesNonOverlappingLinesPseudo2D(), MagFieldsCalc(), MagFieldsFromAltitudeRawCalc(), main(), Matrix1ColFromVector(), Matrix1RowFromVector(), Matrix2ColFromVectors(), Matrix2RowFromVectors(), Matrix3ColFromVectors(), Matrix3RowFromVectors(), matrix_exp(), matrix_vector_mult(), MatrixCBR(), MatrixExtractFromTensor3(), MatrixPlanck(), mblock_dlos_gridUniformCircular(), MCGeneral(), mcPathTraceGeneral(), mcPathTraceRadar(), MCRadar(), MPM85O2AbsModel(), MPM87O2AbsModel(), MPM89O2AbsModel(), MPM92O2AbsModel(), MPM93_O2_continuum(), MPM93IceCrystalAbs(), MPM93O2AbsModel(), MPM93RainExt(), MPM93WaterDropletAbs(), mult(), PropagationMatrix::MultiplyAtPosition(), Species::names_of_have_and_havenot_ratio(), nlte_fieldForSingleSpeciesNonOverlappingLines(), nlte_sourceFromTemperatureAndSrcCoefPerSpecies(), EnergyLevelMap::operator()(), PropagationMatrix::operator*=(), PropagationMatrix::operator+=(), StokesVector::operator+=(), PropagationMatrix::operator-=(), PropagationMatrix::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(), OptimizeDoitPressureGrid(), 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(), ppathFixedLstep(), ppathFromRtePos2(), ppathPlaneParallel(), ppvar_optical_depthFromPpvar_trans_cumulat(), propmat_clearskyAddLines(), propmat_clearskyAddParticles(), psd_mgd_mass_and_something(), psdDelanoeEtAl14(), psdModifiedGamma(), psdModifiedGammaMass(), PWR93O2AbsModel(), RadarOnionPeelingTableCalc(), reduced_1datm(), regrid_atmfield_by_gp(), regrid_atmfield_by_gp_oem(), regrid_atmsurf_by_gp(), regrid_atmsurf_by_gp_oem(), PropagationMatrix::RemoveAtPosition(), MCAntenna::return_los(), Absorption::LineMixing::rosenkranz_approximation(), rotmat_stokes(), rte_pos2gridpos(), rte_poslosFromECEF(), rte_poslosFromGeodetic(), rtmethods_jacobian_finalisation(), rtmethods_unit_conversion(), run_cdisort(), run_cdisort_flux(), Sample_los(), scat_data_monoCalc(), scat_data_monoExtract(), scat_data_singleTmatrix(), 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(), spectral_irradiance_fieldFromSpectralRadianceField(), spectral_radiance_fieldClearskyPlaneParallel(), spectral_radiance_fieldExpandCloudboxField(), specular_losCalc(), starsAddSingleBlackbody(), 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(), surfaceMapToLinearPolarisation(), surfaceSemiSpecularBy3beams(), Tensor3ExtractFromTensor4(), Tensor3FromVector(), test01(), test03(), test04(), test06(), test1(), test28(), test31(), test36(), test4(), test40(), test42(), test47(), test48(), test6(), test7(), test9(), test_dense_sparse_multiplication(), test_insert_row(), test_ls(), test_sparse_dense_multiplication(), transform_jacobian(), TRE05O2AbsModel(), update_radiation_vector(), StokesVector::VectorAtPosition(), VectorExtractFromMatrix(), vmr_fieldPerturb(), vmr_fieldPerturbAtmGrids(), WindFieldsCalc(), x2artsAtmAndSurf(), xsec_continuum_tag(), yApplySensorPol(), yApplyUnit(), ybatchMetProfiles(), ybatchMetProfilesClear(), yCalc_mblock_loop_body(), yCalcAppend(), yRadar(), ySimpleSpectrometer(), z_at_lat_2d(), z_at_latlon(), za_gridOpt(), and zeeman_on_the_fly().