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Minor cleanup

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Davis King 2013-05-24 21:52:44 -04:00
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commit d93a02e803
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examples/integrate_function_adapt_simp_ex.cpp
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@ -1,17 +1,15 @@
// The contents of this file are in the public domain. See
// LICENSE_FOR_EXAMPLE_PROGRAMS.txt
// The contents of this file are in the public domain. See LICENSE_FOR_EXAMPLE_PROGRAMS.txt
/*
This example demonstrates the usage of the numerical quadrature function
integrate_function_adapt_simpson. This function takes as input a single variable
function, the endpoints of a domain over which the function will be integrated, and a
tolerance parameter. It outputs an approximation of the integral of this function
over the specified domain. The algorithm is based on the adaptive Simpson method outlined in:
This example demonstrates the usage of the numerical quadrature function
integrate_function_adapt_simp(). This function takes as input a single variable
function, the endpoints of a domain over which the function will be integrated, and a
tolerance parameter. It outputs an approximation of the integral of this function over
the specified domain. The algorithm is based on the adaptive Simpson method outlined in:
Numerical Integration method based on the adaptive Simpson method in
Gander, W. and W. Gautschi, "Adaptive Quadrature – Revisited,"
BIT, Vol. 40, 2000, pp. 84-101
Numerical Integration method based on the adaptive Simpson method in
Gander, W. and W. Gautschi, "Adaptive Quadrature – Revisited,"
BIT, Vol. 40, 2000, pp. 84-101
*/
@ -24,40 +22,39 @@
using namespace std;
using namespace dlib;
// Here we define a class that consists of the set of functions that we
// wish to integrate and comment in the domain of integration.
// Here we the set of functions that we wish to integrate and comment in the domain of
// integration.
// x in [0,1]
static double gg1(double x)
double gg1(double x)
{
return pow(e,x);
}
// x in [0,1]
static double gg2(double x)
double gg2(double x)
{
return x*x;
}
// x in [0, pi]
static double gg3(double x)
double gg3(double x)
{
return 1/(x*x + cos(x)*cos(x));
}
// x in [-pi, pi]
static double gg4(double x)
double gg4(double x)
{
return sin(x);
}
// x in [0,2]
static double gg5(double x)
double gg5(double x)
{
return 1/(1 + x*x);
}
// Examples
int main()
{
// We first define a tolerance parameter. Roughly speaking, a lower tolerance will