test_integration.cc File Reference

Testfile for the AngIntegrate_trapezoid function from math_funcs.cc. More...

#include <iostream>
#include <cmath>
#include <stdexcept>
#include <sys/time.h>
#include "arts.h"
#include "array.h"
#include "math_funcs.h"
#include "matpackI.h"
#include "logic.h"

Include dependency graph for test_integration.cc:

Go to the source code of this file.

Functions
void	init_xy (float stepsize, int frequency, Matrix &Integrand, Vector &za_grid, Vector &aa_grid)
	init_xy
void	init_x (int vsize, float stepsize, int frequency, Vector &Integrand, Vector &Theta)
	init_x
Numeric	AngIntegrate_trapezoid_original (MatrixView Integrand, ConstVectorView za_grid, ConstVectorView aa_grid)
	AngIntegrate_trapezoid_original.
Numeric	AngIntegrate_trapezoid_opt (MatrixView Integrand, ConstVectorView za_grid, ConstVectorView aa_grid)
	AngIntegrate_trapezoid_opt.
Numeric	AngIntegrate_trapezoid_fixedstep (MatrixView Integrand, ConstVectorView za_grid, ConstVectorView aa_grid, Numeric stepsize)
	AngIntegrate_trapezoid_fixedstep.
Numeric	AngIntegrate_trapezoid_fixedstep_opt (MatrixView Integrand, ConstVectorView za_grid, ConstVectorView aa_grid, Numeric stepsize)
	AngIntegrate_trapezoid_fixedstep_opt.
Numeric	AngIntegrate_trapezoid_fixedstep_opt2 (MatrixView Integrand, ConstVectorView za_grid, ConstVectorView aa_grid, Numeric stepsize)
	AngIntegrate_trapezoid_fixedstep_opt2.
Numeric	AngIntegrate_trapezoid_original (ConstVectorView Integrand, ConstVectorView za_grid)
	AngIntegration_trapezoid_original.
Numeric	AngIntegrate_trapezoid_fixedstep (ConstVectorView Integrand, ConstVectorView za_grid, Numeric stepsize)
	AngIntegration_trapezoid_original.
Numeric	test_xy (int z_size, int a_size, float stepsize, int frequency)
	test_xy
Numeric	test_xy_opt (int z_size, int a_size, float stepsize, int frequency)
	test_xy_opt
Numeric	test_xy_fixedstep (int z_size, int a_size, float stepsize, int frequency)
	test_xy_fixedstep
Numeric	test_xy_fixedstep_opt (int z_size, int a_size, float stepsize, int frequency)
	test_xy_fixedstep_opt
Numeric	test_xy_fixedstep_opt2 (int z_size, int a_size, float stepsize, int frequency)
	test_xy_fixedstep_opt2
Numeric	test_AngIntegrate_trapezoid_opti (int z_size, int a_size, float stepsize, int frequency)
	test_AngIntegrate_trapezoid_opti
Numeric	test_x (int vsize, float stepsize, int frequency)
	test_x
Numeric	test_x_fixedstep (int vsize, int frequency)
	test_x_fixedstep
int	main (int argc, char *argv[])
Variables
const Numeric	DEG2RAD
const Numeric	PI

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Detailed Description

Testfile for the AngIntegrate_trapezoid function from math_funcs.cc.

Author:

Claas Teichmann <claas@sat.physik.uni-bremen.de>

Date:

2003/05/27

Definition in file test_integration.cc.

---

Function Documentation

Numeric AngIntegrate_trapezoid_fixedstep	(	ConstVectorView	Integrand,
		ConstVectorView	za_grid,
		Numeric	stepsize
	)

AngIntegration_trapezoid_original.

The original function from math_funcs.cc

Definition at line 462 of file test_integration.cc.

References DEG2RAD, is_size(), ConstVectorView::nelem(), and PI.

Numeric AngIntegrate_trapezoid_fixedstep	(	MatrixView	Integrand,
		ConstVectorView	za_grid,
		ConstVectorView	aa_grid,
		Numeric	stepsize
	)

AngIntegrate_trapezoid_fixedstep.

Performs an integration of a matrix over all directions defined in angular grids using the trapezoidal integration method. Here we use a fixed stepsize, e.g. 0.1

Parameters:

	Integrand	The Matrix to be integrated
	za_grid	Input : The zenith angle grid
	aa_grid	Input : The azimuth angle grid
	stepsize	Input : The grid stepsize

Returns:

The resulting integral

Definition at line 304 of file test_integration.cc.

References DEG2RAD, is_size(), and ConstVectorView::nelem().

Referenced by test_x_fixedstep(), and test_xy_fixedstep().

Numeric AngIntegrate_trapezoid_fixedstep_opt	(	MatrixView	Integrand,
		ConstVectorView	za_grid,
		ConstVectorView	aa_grid,
		Numeric	stepsize
	)

AngIntegrate_trapezoid_fixedstep_opt.

Performs an integration of a matrix over all directions defined in angular grids using the trapezoidal integration method. Here we use a fixed stepsize, e.g. 0.1

Parameters:

	Integrand	The Matrix to be integrated
	za_grid	Input : The zenith angle grid
	aa_grid	Input : The azimuth angle grid
	stepsize	Input : The grid stepsize

Returns:

The resulting integral

Definition at line 347 of file test_integration.cc.

References DEG2RAD, is_size(), and ConstVectorView::nelem().

Referenced by test_xy_fixedstep_opt().

Numeric AngIntegrate_trapezoid_fixedstep_opt2	(	MatrixView	Integrand,
		ConstVectorView	za_grid,
		ConstVectorView	aa_grid,
		Numeric	stepsize
	)

AngIntegrate_trapezoid_fixedstep_opt2.

Performs an integration of a matrix over all directions defined in angular grids using the trapezoidal integration method. Here we use a fixed stepsize, e.g. 0.1 with some more optimizations to see whether it is faster or not

Parameters:

	Integrand	The Matrix to be integrated
	za_grid	Input : The zenith angle grid
	aa_grid	Input : The azimuth angle grid
	stepsize	Input: The grid stepsize

Returns:

The resulting integral

Definition at line 397 of file test_integration.cc.

References DEG2RAD, is_size(), ConstVectorView::nelem(), and temp.

Referenced by test_xy_fixedstep_opt2().

Numeric AngIntegrate_trapezoid_opt	(	MatrixView	Integrand,
		ConstVectorView	za_grid,
		ConstVectorView	aa_grid
	)

AngIntegrate_trapezoid_opt.

Performs an integration of a matrix over all directions defined in angular grids using the trapezoidal integration method.

Parameters:

	Integrand	The Matrix to be integrated
	za_grid	Input : The zenith angle grid
	aa_grid	Input : The azimuth angle grid

Returns:

The resulting integral

Definition at line 260 of file test_integration.cc.

References DEG2RAD, is_size(), and ConstVectorView::nelem().

Referenced by test_xy_opt().

Numeric AngIntegrate_trapezoid_original	(	ConstVectorView	Integrand,
		ConstVectorView	za_grid
	)

AngIntegration_trapezoid_original.

The original function from math_funcs.cc

Definition at line 438 of file test_integration.cc.

References DEG2RAD, is_size(), ConstVectorView::nelem(), and PI.

Numeric AngIntegrate_trapezoid_original	(	MatrixView	Integrand,
		ConstVectorView	za_grid,
		ConstVectorView	aa_grid
	)

AngIntegrate_trapezoid_original.

The original function from math_funcs.cc Performs an integration of a matrix over all directions defined in angular grids using the trapezoidal integration method.

Parameters:

	Integrand	The Matrix to be integrated
	za_grid	Input : The zenith angle grid
	aa_grid	Input : The azimuth angle grid

Returns:

The resulting integral

Definition at line 218 of file test_integration.cc.

References DEG2RAD, is_size(), and ConstVectorView::nelem().

Referenced by test_x(), and test_xy().

void init_x	(	int	vsize,
		float	stepsize,
		int	frequency,
		Vector &	Integrand,
		Vector &	Theta
	)

init_x

This function fills a Vector with funcition values The function is y=x

Definition at line 138 of file test_integration.cc.

References ConstVectorView::nelem().

Referenced by test_x().

void init_xy	(	float	stepsize,
		int	frequency,
		Matrix &	Integrand,
		Vector &	za_grid,
		Vector &	aa_grid
	)

init_xy

This function fills Matrix with funcition values The funcion is a circle around 0

Definition at line 169 of file test_integration.cc.

References ConstVectorView::nelem().

Referenced by test_AngIntegrate_trapezoid_opti(), test_xy(), test_xy_fixedstep(), test_xy_fixedstep_opt(), test_xy_fixedstep_opt2(), and test_xy_opt().

int main	(	int	argc,
		char *	argv[]
	)

Definition at line 105 of file test_integration.cc.

References test_AngIntegrate_trapezoid_opti(), and test_xy().

Numeric test_AngIntegrate_trapezoid_opti	(	int	z_size,
		int	a_size,
		float	stepsize,
		int	frequency
	)

test_AngIntegrate_trapezoid_opti

Performs an integration over a simple Function given by a Matrix uses AngIntegrate_trapezoid_opti to integrate the funcion

It uses the original arts function

Parameters:

	z_size	The size of the zenith dimension, e.g. 1801
	a_size	The size of the azimuth dimension, e.g. 3601
	stepsize	The size of the steps, e.g. 0.1
	frequency	Only for test purposes: frequency of integral computation

Returns:

The resulting integral

Definition at line 774 of file test_integration.cc.

References AngIntegrate_trapezoid_opti(), init_xy(), and PI.

Referenced by main().

Numeric test_x	(	int	vsize,
		float	stepsize,
		int	frequency
	)

test_x

Performs an integration over a simple Function y=x given by a Vector uses AngIntegrate_trapezoid_original to integrate the funcion

Parameters:

	vsize	The size of the Vetor who is integrated, e.g. 1801
	stepsize	The size of the steps, e.g. 0.1
	frequency	Only for test purposes: how often is the integral calculated

Returns:

The resulting integral

Definition at line 840 of file test_integration.cc.

References AngIntegrate_trapezoid_original(), init_x(), and PI.

Numeric test_x_fixedstep	(	int	vsize,
		int	frequency
	)

test_x_fixedstep

Performs an integration over a simple Function y=x given by a Vector uses the other Integration function with constant Theta-spacing.

Parameters:

	vsize	The size of the Vetor who is integrated, e.g. 1801
	frequency	Only for test purposes: how often is the integral calculated

Returns:

The resulting integral

Definition at line 896 of file test_integration.cc.

References AngIntegrate_trapezoid_fixedstep(), ConstVectorView::nelem(), and PI.

Numeric test_xy	(	int	z_size,
		int	a_size,
		float	stepsize,
		int	frequency
	)

test_xy

Performs an integration over a simple Function given by a Matrix uses AngIntegrate_trapezoid_original to integrate the funcion

Parameters:

	z_size	The size of the zenith dimension, e.g. 1801
	a_size	The size of the azimuth dimension, e.g. 3601
	stepsize	The size of the steps, e.g. 0.1
	frequency	Only for test purposes: frequency of integral computation

Returns:

The resulting integral

Definition at line 500 of file test_integration.cc.

References AngIntegrate_trapezoid_original(), init_xy(), and PI.

Referenced by main().

Numeric test_xy_fixedstep	(	int	z_size,
		int	a_size,
		float	stepsize,
		int	frequency
	)

test_xy_fixedstep

Performs an integration over a simple Function given by a Matrix uses AngIntegrate_trapezoid_fixedstep to integrate the funcion

Parameters:

	z_size	The size of the zenith dimension, e.g. 1801
	a_size	The size of the azimuth dimension, e.g. 3601
	stepsize	The size of the steps, e.g. 0.1
	frequency	Only for test purposes: frequency of integral computation

Returns:

The resulting integral

Definition at line 608 of file test_integration.cc.

References AngIntegrate_trapezoid_fixedstep(), init_xy(), and PI.

Numeric test_xy_fixedstep_opt	(	int	z_size,
		int	a_size,
		float	stepsize,
		int	frequency
	)

test_xy_fixedstep_opt

Performs an integration over a simple Function given by a Matrix uses AngIntegrate_trapezoid_fixedstep to integrate the funcion

Parameters:

	z_size	The size of the zenith dimension, e.g. 1801
	a_size	The size of the azimuth dimension, e.g. 3601
	stepsize	The size of the steps, e.g. 0.1
	frequency	Only for test purposes: frequency of integral computation

Returns:

The resulting integral

Definition at line 663 of file test_integration.cc.

References AngIntegrate_trapezoid_fixedstep_opt(), init_xy(), and PI.

Numeric test_xy_fixedstep_opt2	(	int	z_size,
		int	a_size,
		float	stepsize,
		int	frequency
	)

test_xy_fixedstep_opt2

Performs an integration over a simple Function given by a Matrix uses AngIntegrate_trapezoid_fixedstep2 to integrate the funcion

Parameters:

	z_size	The size of the zenith dimension, e.g. 1801
	a_size	The size of the azimuth dimension, e.g. 3601
	stepsize	The size of the steps, e.g. 0.1
	frequency	Only for test purposes: frequency of integral computation

Returns:

The resulting integral

Definition at line 718 of file test_integration.cc.

References AngIntegrate_trapezoid_fixedstep_opt2(), init_xy(), and PI.

Numeric test_xy_opt	(	int	z_size,
		int	a_size,
		float	stepsize,
		int	frequency
	)

test_xy_opt

Performs an integration over a simple Function given by a Matrix uses AngIntegrate_trapezoid_opt to integrate the funcion

Parameters:

	z_size	The size of the zenith dimension, e.g. 1801
	a_size	The size of the azimuth dimension, e.g. 3601
	stepsize	The size of the steps, e.g. 0.1
	frequency	Only for test purposes: frequency of integral computation

Returns:

The resulting integral

Definition at line 554 of file test_integration.cc.

References AngIntegrate_trapezoid_opt(), init_xy(), and PI.

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Variable Documentation

const Numeric DEG2RAD

const Numeric PI