jacobian.cc File Reference

Routines for setting up the jacobian. More...

#include "arts.h"
#include "jacobian.h"
#include "special_interp.h"
#include "physics_funcs.h"

Include dependency graph for jacobian.cc:

Go to the source code of this file.

Functions

ostream & operator<< (ostream &os, const RetrievalQuantity &ot)

Output operator for RetrievalQuantity.

void calc_nd_field (Tensor3View &nd, const VectorView &p, const Tensor3View &t)

Calculate the number density field.

bool check_retrieval_grids (ArrayOfVector &grids, ostringstream &os, const Vector &p_grid, const Vector &lat_grid, const Vector &lon_grid, const Vector &p_retr, const Vector &lat_retr, const Vector &lon_retr, const String &p_retr_name, const String &lat_retr_name, const String &lon_retr_name, const Index &dim)

Check that the retrieval grids are defined for each atmosphere dim.

void get_perturbation_gridpos (ArrayOfGridPos &gp, const Vector &atm_grid, const Vector &jac_grid, const bool &is_pressure)

Calculate array of GridPos for perturbation interpolation.

void get_perturbation_limit (ArrayOfIndex &limit, const Vector &pert_grid, const Vector &atm_limit)

Get limits for perturbation of a box.

void get_perturbation_range (Range &range, const Index &index, const Index &length)

Get range for perturbation.

void from_dq_to_dx (MatrixView diy_dx, ConstMatrixView diy_dq, const Numeric &w)

jacobian_from_path_to_rgrids

void jacobian_from_path_to_rgrids (MatrixView ib_q_jacs, const Index &nbdone, const ArrayOfTensor4 &diy_dq, const Index &iq, const Index &atmosphere_dim, const ArrayOfPpath &ppath_array, const RetrievalQuantity &jacobian_quantity)

void perturbation_field_1d (VectorView field, const ArrayOfGridPos &p_gp, const Index &p_pert_n, const Range &p_range, const Numeric &size, const Index &method)

Calculate the 1D perturbation for a relative perturbation.

void perturbation_field_2d (MatrixView field, const ArrayOfGridPos &p_gp, const ArrayOfGridPos &lat_gp, const Index &p_pert_n, const Index &lat_pert_n, const Range &p_range, const Range &lat_range, const Numeric &size, const Index &method)

Calculate the 2D perturbation for a relative perturbation.

void perturbation_field_3d (Tensor3View field, const ArrayOfGridPos &p_gp, const ArrayOfGridPos &lat_gp, const ArrayOfGridPos &lon_gp, const Index &p_pert_n, const Index &lat_pert_n, const Index &lon_pert_n, const Range &p_range, const Range &lat_range, const Range &lon_range, const Numeric &size, const Index &method)

Calculate the 3D perturbation for a relative perturbation.

void polynomial_basis_func (Vector &b, const Vector &x, const Index &poly_coeff)

Calculates polynomial basis functions.

Detailed Description

Routines for setting up the jacobian.

Author:: Mattias Ekstrom <ekstrom@rss.chalmers.se>

Date:: 2004-09-14

Definition in file jacobian.cc.

Function Documentation

void calc_nd_field	(	Tensor3View &	nd,
		const VectorView &	p,
		const Tensor3View &	t
	)

Calculate the number density field.

This function returns the number density for each grid point in the Tensor3View.

Parameters:

	nd	The number density field
	p	The pressure grid
	t	The temperature field

Author:: Mattias Ekstrom

Date:: 2005-06-03

Definition at line 53 of file jacobian.cc.

References ConstTensor3View::ncols(), ConstVectorView::nelem(), ConstTensor3View::npages(), ConstTensor3View::nrows(), and number_density().

Referenced by jacobianCalcAbsSpecies().

bool check_retrieval_grids	(	ArrayOfVector &	grids,
		ostringstream &	os,
		const Vector &	p_grid,
		const Vector &	lat_grid,
		const Vector &	lon_grid,
		const Vector &	p_retr,
		const Vector &	lat_retr,
		const Vector &	lon_retr,
		const String &	p_retr_name,
		const String &	lat_retr_name,
		const String &	lon_retr_name,
		const Index &	dim
	)

Check that the retrieval grids are defined for each atmosphere dim.

This function checks for the given atmosphere dimension that I) the retrieval grids are defined II) and that they are covered by the corresponding atmospheric grid. If not the return is false and an output string is created to print the error to the user. If the grids are ok they are stored in an array and true is returned.

Parameters:

	grids	The array of retrieval grids.
	os	The output string stream.
	p_grid	The atmospheric pressure grid
	lat_grid	The atmospheric latitude grid
	lon_grid	The atmospheric longitude grid
	p_retr	The pressure retrieval grid.
	lat_retr	The latitude retrieval grid.
	lon_retr	The longitude retrieval grid.
	p_retr_name	The control file name used for the pressure retrieval grid.
	lat_retr_name	The control file name for the latitude retrieval grid.
	lon_retr_name	The control file name for the longitude retrieval grid.
	dim	The atmosphere dimension

Returns:: Boolean for check.

Author:: Mattias Ekstrom

Date:: 2005-05-11

Definition at line 102 of file jacobian.cc.

References is_decreasing(), is_increasing(), and ConstVectorView::nelem().

Referenced by jacobianAddAbsSpecies(), and jacobianAddTemperature().

void from_dq_to_dx	(	MatrixView	diy_dx,
		ConstMatrixView	diy_dq,
		const Numeric &	w
	)

jacobian_from_path_to_rgrids

Maps jacobian values valid for changes at a propogation path step, to values for the retrieval grids.

See *rte_std* for usage of this function.

See AUG for derivation of used expressions.

Parameters:

`[in,out]`	diy_dx	A matrix corresponding to iy
`[in]`	diy_dq	Corresponds to diy_dt
`[in]`	w	FIXME: DOC

Author:: Patrick Eriksson,

Date:: 2005-06-02

Definition at line 369 of file jacobian.cc.

References ConstMatrixView::ncols(), and ConstMatrixView::nrows().

Referenced by jacobian_from_path_to_rgrids().

void get_perturbation_gridpos	(	ArrayOfGridPos &	gp,
		const Vector &	atm_grid,
		const Vector &	jac_grid,
		const bool &	is_pressure
	)

Calculate array of GridPos for perturbation interpolation.

This function constructs a perturbation grid which consists of the given retrieval grid with an extra endpoint added at each end. These endpoints lies outside the atmospheric grid. This enables the interpolation of an perturbation on the perturbation grid to be interpolated to the atmospheric grid. For this reason the function returns an ArrayOfGridPos.

If the atmospheric grid is a pressure grid, interpolation is made in logarithm of the atmospheric grid.

Parameters:

	gp	Array of GridPos for interpolation.
	atm_grid	Atmospheric grid.
	jac_grid	Retrieval grid.
	is_pressure	True for pressure grid

Author:: Mattias Ekstrom

Date:: 2005-05-12

Definition at line 224 of file jacobian.cc.

References gridpos(), ConstVectorView::nelem(), and p2gridpos().

Referenced by jacobianCalcAbsSpecies(), and jacobianCalcTemperature().

void get_perturbation_limit	(	ArrayOfIndex &	limit,
		const Vector &	pert_grid,
		const Vector &	atm_limit
	)

Get limits for perturbation of a box.

This is a helper function that calculates the limits where the perturbation should be added to the perturbation grid. This is needed for example by the particle perturbation that only should be applied for the cloudbox. The limits are defined as the outermost points lying within or just outside the box limits.

The atmospheric limits should be given in the same unit as the perturbation grid. And only the first and last element will be considered as limits.

Assertions are used to perform checks. The input grids are checked so that the atmospheric limits are containg within the perturbation grid. The limit indices are checked so that they are ordered in increasing order before return.

Parameters:

	limit	The limit indices in the perturbation grid
	pert_grid	The perturbation grid
	atm_limit	The atmospheric limits of the box.

Author:: Mattias Ekstrom

Date:: 2005-02-25

Definition at line 283 of file jacobian.cc.

References is_decreasing(), and ConstVectorView::nelem().

void get_perturbation_range	(	Range &	range,
		const Index &	index,
		const Index &	length
	)

Get range for perturbation.

This is a helper function that calculates the range in which the perturbation should be added to the perturbation grid. This is needed to handle the edge effects. At the edges we want the perturbation to continue outwards.

Parameters:

	range	The range in the perturbation grid.
	index	The index of the perturbation in the retrieval grid.
	length	The length of retrieval grid

Author:: Mattias Ekstrom

Date:: 2004-10-14

Definition at line 335 of file jacobian.cc.

Referenced by jacobianCalcAbsSpecies(), and jacobianCalcTemperature().

void jacobian_from_path_to_rgrids	(	MatrixView	ib_q_jacs,
		const Index &	nbdone,
		const ArrayOfTensor4 &	diy_dq,
		const Index &	iq,
		const Index &	atmosphere_dim,
		const ArrayOfPpath &	ppath_array,
		const RetrievalQuantity &	jacobian_quantity
	)

Definition at line 381 of file jacobian.cc.

References from_dq_to_dx(), gridpos(), RetrievalQuantity::Grids(), joker, ConstVectorView::nelem(), Array< base >::nelem(), p2gridpos(), and Tensor3::resize().

Referenced by RteCalc().

ostream& operator<<	(	ostream &	os,
		const RetrievalQuantity &	ot
	)

Output operator for RetrievalQuantity.

Author:: Mattias Ekstrom

Definition at line 31 of file jacobian.cc.

References RetrievalQuantity::MainTag(), and RetrievalQuantity::Subtag().

void perturbation_field_1d	(	VectorView	field,
		const ArrayOfGridPos &	p_gp,
		const Index &	p_pert_n,
		const Range &	p_range,
		const Numeric &	size,
		const Index &	method
	)

Calculate the 1D perturbation for a relative perturbation.

This is a helper function that interpolated the perturbation field for a 1D relative perturbation onto the atmospheric field.

Parameters:

	field	The interpolated perturbation field.
	p_gp	The GridPos for interpolation.
	p_pert_n	The number of perturbations.
	p_range	The perturbation range in the perturbation grid.
	size	The size of the perturbation.
	method	Relative perturbation==0, absolute==1

Author:: Mattias Ekstrom

Date:: 2005-05-11

Definition at line 582 of file jacobian.cc.

References interp(), interpweights(), Array< base >::nelem(), and ConstVectorView::nelem().

Referenced by jacobianCalcAbsSpecies(), and jacobianCalcTemperature().

void perturbation_field_2d	(	MatrixView	field,
		const ArrayOfGridPos &	p_gp,
		const ArrayOfGridPos &	lat_gp,
		const Index &	p_pert_n,
		const Index &	lat_pert_n,
		const Range &	p_range,
		const Range &	lat_range,
		const Numeric &	size,
		const Index &	method
	)

Calculate the 2D perturbation for a relative perturbation.

This is a helper function that interpolated the perturbation field for a 2D relative perturbation onto the atmospheric field.

Parameters:

	field	The interpolated perturbation field.
	p_gp	The GridPos for interpolation in the 1st dim.
	lat_gp	The GridPos for interpolation in the 2nd dim.
	p_pert_n	The number of perturbations in the 1st dim.
	lat_pert_n	The number of perturbations in the 2nd dim.
	p_range	The perturbation range in the 1st dim.
	lat_range	The perturbation range in the 2nd dim.
	size	The size of the perturbation.
	method	Relative perturbation==0, absolute==1

Author:: Mattias Ekstrom

Date:: 2005-05-11

Definition at line 627 of file jacobian.cc.

References interp(), interpweights(), ConstMatrixView::ncols(), Array< base >::nelem(), and ConstMatrixView::nrows().

Referenced by jacobianCalcAbsSpecies(), and jacobianCalcTemperature().

void perturbation_field_3d	(	Tensor3View	field,
		const ArrayOfGridPos &	p_gp,
		const ArrayOfGridPos &	lat_gp,
		const ArrayOfGridPos &	lon_gp,
		const Index &	p_pert_n,
		const Index &	lat_pert_n,
		const Index &	lon_pert_n,
		const Range &	p_range,
		const Range &	lat_range,
		const Range &	lon_range,
		const Numeric &	size,
		const Index &	method
	)

Calculate the 3D perturbation for a relative perturbation.

This is a helper function that interpolated the perturbation field for a 3D relative perturbation onto the atmospheric field.

Parameters:

	field	The interpolated perturbation field.
	p_gp	The GridPos for interpolation in the 1st dim.
	lat_gp	The GridPos for interpolation in the 2nd dim.
	lon_gp	The GridPos for interpolation in the 3rd dim.
	p_pert_n	The number of perturbations in the 1st dim.
	lat_pert_n	The number of perturbations in the 2nd dim.
	lon_pert_n	The number of perturbations in the 3rd dim.
	p_range	The perturbation range in the 1st dim.
	lat_range	The perturbation range in the 2nd dim.
	lon_range	The perturbation range in the 3rd dim.
	size	The size of the perturbation.
	method	Set to 0 for relative, and 1 for absolute.

Author:: Mattias Ekstrom

Date:: 2005-05-11

Definition at line 678 of file jacobian.cc.

References interp(), interpweights(), ConstTensor3View::ncols(), Array< base >::nelem(), ConstTensor3View::npages(), and ConstTensor3View::nrows().

Referenced by jacobianCalcAbsSpecies(), and jacobianCalcTemperature().

void polynomial_basis_func	(	Vector &	b,
		const Vector &	x,
		const Index &	poly_coeff
	)

Calculates polynomial basis functions.

The basis function is b(x) = 1 for poly_coeff = 0. For higher coefficients, x^poly_coeff - m, where first the range covered by x* is normalised to [-1,1] and m is selected in such way that sum(b) = 0.

Parameters:

	b	Calculated basis function.
	x	The grid over which the fit shall be performed.
	poly_coeff	Polynomial coefficient.

Author:: Patrick Eriksson

Date:: 2008-11-07

Definition at line 725 of file jacobian.cc.

References dx, max, mean(), min, ConstVectorView::nelem(), and Vector::resize().

Referenced by jacobianCalcPointing(), and jacobianCalcPolyfit().


Functions
ostream &	operator<< (ostream &os, const RetrievalQuantity &ot)
	Output operator for RetrievalQuantity.
void	calc_nd_field (Tensor3View &nd, const VectorView &p, const Tensor3View &t)
	Calculate the number density field.
bool	check_retrieval_grids (ArrayOfVector &grids, ostringstream &os, const Vector &p_grid, const Vector &lat_grid, const Vector &lon_grid, const Vector &p_retr, const Vector &lat_retr, const Vector &lon_retr, const String &p_retr_name, const String &lat_retr_name, const String &lon_retr_name, const Index &dim)
	Check that the retrieval grids are defined for each atmosphere dim.
void	get_perturbation_gridpos (ArrayOfGridPos &gp, const Vector &atm_grid, const Vector &jac_grid, const bool &is_pressure)
	Calculate array of GridPos for perturbation interpolation.
void	get_perturbation_limit (ArrayOfIndex &limit, const Vector &pert_grid, const Vector &atm_limit)
	Get limits for perturbation of a box.
void	get_perturbation_range (Range &range, const Index &index, const Index &length)
	Get range for perturbation.
void	from_dq_to_dx (MatrixView diy_dx, ConstMatrixView diy_dq, const Numeric &w)
	jacobian_from_path_to_rgrids
void	jacobian_from_path_to_rgrids (MatrixView ib_q_jacs, const Index &nbdone, const ArrayOfTensor4 &diy_dq, const Index &iq, const Index &atmosphere_dim, const ArrayOfPpath &ppath_array, const RetrievalQuantity &jacobian_quantity)
void	perturbation_field_1d (VectorView field, const ArrayOfGridPos &p_gp, const Index &p_pert_n, const Range &p_range, const Numeric &size, const Index &method)
	Calculate the 1D perturbation for a relative perturbation.
void	perturbation_field_2d (MatrixView field, const ArrayOfGridPos &p_gp, const ArrayOfGridPos &lat_gp, const Index &p_pert_n, const Index &lat_pert_n, const Range &p_range, const Range &lat_range, const Numeric &size, const Index &method)
	Calculate the 2D perturbation for a relative perturbation.
void	perturbation_field_3d (Tensor3View field, const ArrayOfGridPos &p_gp, const ArrayOfGridPos &lat_gp, const ArrayOfGridPos &lon_gp, const Index &p_pert_n, const Index &lat_pert_n, const Index &lon_pert_n, const Range &p_range, const Range &lat_range, const Range &lon_range, const Numeric &size, const Index &method)
	Calculate the 3D perturbation for a relative perturbation.
void	polynomial_basis_func (Vector &b, const Vector &x, const Index &poly_coeff)
	Calculates polynomial basis functions.