math_integral_test.cpp File Reference

#include "../math_integral.h"
#include "gtest/gtest.h"
#include <math.h>
#include <fstream>
#include <iostream>
#include "source_base/constants.h"

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Classes
class	SimpsonIntegralSinx
class	SimpsonIntegralITF
class	SimpsonIntegralExp

Macros
#define	doublethreshold   1e-12

Functions
void	sinspace (double start, double end, const int nums, double *xv, double *h)
	TEST_F (SimpsonIntegralSinx, Constructor)
	TEST_F (SimpsonIntegralSinx, SimpsonIntegralRab)
	TEST_F (SimpsonIntegralSinx, SimpsonIntegralDr)
	TEST_F (SimpsonIntegralSinx, SimpsonIntegral0toall)
	TEST_F (SimpsonIntegralSinx, SimpsonIntegralAlltoinf)
	TEST_F (SimpsonIntegralSinx, UniformGridOdd)
	TEST_F (SimpsonIntegralSinx, UniformGridEven)
	TEST_F (SimpsonIntegralSinx, LogGridOdd)
	TEST_F (SimpsonIntegralSinx, LogGridEven)
	TEST_F (SimpsonIntegralSinx, FourPoints)
	TEST_F (SimpsonIntegralSinx, ThreePoints)
	TEST_F (SimpsonIntegralITF, UniformGridOdd)
	TEST_F (SimpsonIntegralITF, SinGridOdd)
	TEST_F (SimpsonIntegralExp, UniformGridOdd)
	TEST_F (SimpsonIntegralExp, SinGridOdd)

Macro Definition Documentation

doublethreshold

#define doublethreshold   1e-12

Function Documentation

sinspace()

void sinspace	(	double	start,
		double	end,
		const int	nums,
		double *	xv,
		double *	h
	)

Tested functions:

• function Simpson_Integral with rab as input
• function Simpson_Integral with dr as input
• function Simpson_Integral_0toall
• function Simpson_Integral_alltoinf
• function Simpson_Integral with f(x) = sin(x)
• function Simpson_Integral with f(x) = 1 / (1 + x^2)
• function Simpson_Integral with f(x) = exp(x)

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TEST_F() [1/15]

TEST_F	(	SimpsonIntegralExp	,
		SinGridOdd
	)

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TEST_F() [2/15]

TEST_F	(	SimpsonIntegralExp	,
		UniformGridOdd
	)

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TEST_F() [3/15]

TEST_F	(	SimpsonIntegralITF	,
		SinGridOdd
	)

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TEST_F() [4/15]

TEST_F	(	SimpsonIntegralITF	,
		UniformGridOdd
	)

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TEST_F() [5/15]

TEST_F	(	SimpsonIntegralSinx	,
		Constructor
	)

TEST_F() [6/15]

TEST_F	(	SimpsonIntegralSinx	,
		FourPoints
	)

This test checks whether "simpson" yields the exact integral for a cubic polynomial sampled by four points. This case is handled by Simpson's 3/8 rule and should be exact.

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TEST_F() [7/15]

TEST_F	(	SimpsonIntegralSinx	,
		LogGridEven
	)

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TEST_F() [8/15]

TEST_F	(	SimpsonIntegralSinx	,
		LogGridOdd
	)

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TEST_F() [9/15]

TEST_F	(	SimpsonIntegralSinx	,
		SimpsonIntegral0toall
	)

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TEST_F() [10/15]

TEST_F	(	SimpsonIntegralSinx	,
		SimpsonIntegralAlltoinf
	)

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TEST_F() [11/15]

TEST_F	(	SimpsonIntegralSinx	,
		SimpsonIntegralDr
	)

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TEST_F() [12/15]

TEST_F	(	SimpsonIntegralSinx	,
		SimpsonIntegralRab
	)

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TEST_F() [13/15]

TEST_F	(	SimpsonIntegralSinx	,
		ThreePoints
	)

This test checks whether "simpson" yields the exact integral for a quadratic polynomial sampled by three points.

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TEST_F() [14/15]

TEST_F	(	SimpsonIntegralSinx	,
		UniformGridEven
	)

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TEST_F() [15/15]

TEST_F	(	SimpsonIntegralSinx	,
		UniformGridOdd
	)

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