+++ /dev/null
-/*****************************************************************************
-** This is part of the CTSim program
-** Copyright (C) 1983-2000 Kevin Rosenberg
-**
-** $Id: simpson.cpp,v 1.2 2000/06/19 19:04:05 kevin Exp $
-**
-** This program is free software; you can redistribute it and/or modify
-** it under the terms of the GNU General Public License (version 2) as
-** published by the Free Software Foundation.
-**
-** This program is distributed in the hope that it will be useful,
-** but WITHOUT ANY WARRANTY; without even the implied warranty of
-** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
-** GNU General Public License for more details.
-**
-** You should have received a copy of the GNU General Public License
-** along with this program; if not, write to the Free Software
-** Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
-******************************************************************************/
-
-#include "ctsupport.h"
-
-
-/* NAME
- * integrateSimpson Integrate array of data by Simpson's rule
- *
- * SYNOPSIS
- * double integrateSimpson (xmin, xmax, y, np)
- * double xmin, xmax Extent of integration
- * double y[] Function values to be integrated
- * int np number of data points
- * (must be an odd number and at least 3)
- *
- * RETURNS
- * integrand of function
- */
-
-double
-integrateSimpson (const double xmin, const double xmax, const double *y, const int np)
-{
- if (np < 2)
- return (0.);
- else if (np == 2)
- return ((xmax - xmin) * (y[0] + y[1]) / 2);
-
- double area = 0;
- int nDiv = (np - 1) / 2; // number of divisions
- double width = (xmax - xmin) / (double) (np - 1); // width of cells
-
- for (int i = 1; i <= nDiv; i++) {
- int xr = 2 * i;
- int xl = xr - 2; // 2 * (i - 1) == 2 * i - 2 == xr - 2
- int xm = xr - 1; // (xl+xr)/2 == (xr+xr-2)/2 == (2*xr-2)/2 = xr-1
-
- area += (width / 3.0) * (y[xl] + 4.0 * y[xm] + y[xr]);
- }
-
- if ((np & 1) == 0) /* do last trapazoid */
- area += width * (y[np-2] + y[np-1]) / 2;
-
- return (area);
-}