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

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

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

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

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

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

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

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

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

Numeric	AngIntegrate_trapezoid_original (ConstVectorView Integrand, ConstVectorView za_grid)
	AngIntegration_trapezoid_original. More...

Numeric	AngIntegrate_trapezoid_fixedstep (ConstVectorView Integrand, ConstVectorView za_grid, Numeric stepsize)
	AngIntegration_trapezoid_original. More...

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

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

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

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

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

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

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

Numeric	test_x_fixedstep (int vsize, int frequency)
	test_x_fixedstep More...

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

Variables
const Numeric	DEG2RAD

const Numeric	PI

Detailed Description

Testfile for the AngIntegrate_trapezoid function from math_funcs.cc.

Author: Claas Teichmann claas.nosp@m.@sat.nosp@m..phys.nosp@m.ik.u.nosp@m.ni-br.nosp@m.emen.nosp@m..de

Date: 2003/05/27

Definition in file test_integration.cc.

Function Documentation

◆ AngIntegrate_trapezoid_fixedstep() [1/2]

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 297 of file test_integration.cc.

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

Referenced by test_x_fixedstep(), and test_xy_fixedstep().

◆ AngIntegrate_trapezoid_fixedstep() [2/2]

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

AngIntegration_trapezoid_original.

The original function from math_funcs.cc

Definition at line 439 of file test_integration.cc.

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

◆ AngIntegrate_trapezoid_fixedstep_opt()

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 336 of file test_integration.cc.

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

Referenced by test_xy_fixedstep_opt().

◆ AngIntegrate_trapezoid_fixedstep_opt2()

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 381 of file test_integration.cc.

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

Referenced by test_xy_fixedstep_opt2().

◆ AngIntegrate_trapezoid_opt()

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 258 of file test_integration.cc.

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

Referenced by test_xy_opt().

◆ AngIntegrate_trapezoid_original() [1/2]

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 221 of file test_integration.cc.

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

Referenced by test_x(), and test_xy().

◆ AngIntegrate_trapezoid_original() [2/2]

Numeric AngIntegrate_trapezoid_original	(	ConstVectorView	Integrand,
		ConstVectorView	za_grid
	)

AngIntegration_trapezoid_original.

The original function from math_funcs.cc

Definition at line 417 of file test_integration.cc.

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

◆ init_x()

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 143 of file test_integration.cc.

References i, and ConstVectorView::nelem().

Referenced by test_x().

◆ init_xy()

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 174 of file test_integration.cc.

References i, and 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().

◆ main()

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

Definition at line 110 of file test_integration.cc.

References test_AngIntegrate_trapezoid_opti(), and test_xy().

◆ test_AngIntegrate_trapezoid_opti()

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 745 of file test_integration.cc.

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

Referenced by main().

◆ test_x()

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 811 of file test_integration.cc.

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

◆ test_x_fixedstep()

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 861 of file test_integration.cc.

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

◆ test_xy()

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 473 of file test_integration.cc.

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

Referenced by main().

◆ test_xy_fixedstep()

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 575 of file test_integration.cc.

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

◆ test_xy_fixedstep_opt()

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 631 of file test_integration.cc.

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

◆ test_xy_fixedstep_opt2()

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 687 of file test_integration.cc.

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

◆ test_xy_opt()

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 524 of file test_integration.cc.

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

Variable Documentation

◆ DEG2RAD

const Numeric DEG2RAD

Referenced by AngIntegrate_trapezoid_fixedstep(), AngIntegrate_trapezoid_fixedstep_opt(), AngIntegrate_trapezoid_fixedstep_opt2(), AngIntegrate_trapezoid_opt(), and AngIntegrate_trapezoid_original().

◆ PI

const Numeric PI

Referenced by AngIntegrate_trapezoid_fixedstep(), AngIntegrate_trapezoid_original(), test_AngIntegrate_trapezoid_opti(), test_x(), test_x_fixedstep(), test_xy(), test_xy_fixedstep(), test_xy_fixedstep_opt(), test_xy_fixedstep_opt2(), and test_xy_opt().

Functions

Variables

Detailed Description

Function Documentation

◆ AngIntegrate_trapezoid_fixedstep() [1/2]

◆ AngIntegrate_trapezoid_fixedstep() [2/2]

◆ AngIntegrate_trapezoid_fixedstep_opt()

◆ AngIntegrate_trapezoid_fixedstep_opt2()

◆ AngIntegrate_trapezoid_opt()

◆ AngIntegrate_trapezoid_original() [1/2]

◆ AngIntegrate_trapezoid_original() [2/2]

◆ init_x()

◆ init_xy()

◆ main()

◆ test_AngIntegrate_trapezoid_opti()

◆ test_x()

◆ test_x_fixedstep()

◆ test_xy()

◆ test_xy_fixedstep()

◆ test_xy_fixedstep_opt()

◆ test_xy_fixedstep_opt2()

◆ test_xy_opt()

Variable Documentation

◆ DEG2RAD

◆ PI