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+/*
+ cosine.cpp
+ Copyright (C) 2015 John Burkardt
+ Copyright (C) 2019 Richard Knight
+
+
+ This program is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 3 of the License, or (at your option) any later version.
+
+ 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
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with this program; if not, write to the Free Software Foundation,
+ Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+
+ */
+
+#include <cmath>
+#include <cstdlib>
+#include <iostream>
+#include <ctime>
+#include <plugin.h>
+
+using namespace std;
+
+#include "cosine.hpp"
+
+//****************************************************************************80
+
+void cosine_transform_data (csnd::Vector<MYFLT> d, csnd::Vector<MYFLT> c)
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// COSINE_TRANSFORM_DATA does a cosine transform on a vector of data.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 27 August 2015
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, integer N, the number of data points.
+//
+// Input, double D[N], the vector of data.
+//
+// Output, double COSINE_TRANSFORM_DATA[N], the transform coefficients.
+//
+{
+ int n = d.len();
+ double angle;
+ int i;
+ int j;
+ const double r8_pi = 3.141592653589793;
+
+
+ for ( i = 0; i < n; i++ )
+ {
+ c[i] = 0.0;
+ for ( j = 0; j < n; j++ )
+ {
+ angle = r8_pi * ( double ) ( i * ( 2 * j + 1 ) ) / ( double ) ( 2 * n );
+ c[i] = c[i] + cos ( angle ) * d[j];
+ }
+ c[i] = c[i] * sqrt ( 2.0 / ( double ) ( n ) );
+ }
+}
+//****************************************************************************80
+
+void cosine_transform_inverse (csnd::Vector<MYFLT> c, csnd::Vector<MYFLT> d)
+
+//****************************************************************************80
+//
+// Purpose:
+//
+// COSINE_TRANSFORM_INVERSE does an inverse cosine transform.
+//
+// Licensing:
+//
+// This code is distributed under the GNU LGPL license.
+//
+// Modified:
+//
+// 27 August 2015
+//
+// Author:
+//
+// John Burkardt
+//
+// Parameters:
+//
+// Input, integer N, the number of data points.
+//
+// Input, double C[N], the vector of transform coefficients
+//
+// Output, double COSINE_TRANSFORM_INVERSE[N], the original data.
+//
+{
+ int n = c.len();
+ double angle;
+ int i;
+ int j;
+ double r8_pi = 3.141592653589793;
+
+
+ for ( i = 0; i < n; i++ )
+ {
+ d[i] = c[0] / 2.0;
+ for ( j = 1; j < n; j++ )
+ {
+ angle = r8_pi * ( double ) ( ( 2 * i + 1 ) * j ) / ( double ) ( 2 * n );
+ d[i] = d[i] + cos ( angle ) * c[j];
+ }
+ d[i] = d[i] * sqrt ( 2.0 / ( double ) ( n ) );
+ }
+}
+//****************************************************************************80