** This is part of the CTSim program
** Copyright (c) 1983-2001 Kevin Rosenberg
**
-** $Id: fourier.cpp,v 1.5 2001/03/18 18:08:25 kevin Exp $
+** $Id: fourier.cpp,v 1.6 2001/03/21 21:45:31 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
}
delete [] pRow;
}
-
-
-// Odd Number of Points
-// Natural Frequency Order: -(n-1)/2...-1,0,1...(n-1)/2
-// Fourier Frequency Order: 0, 1..(n-1)/2,-(n-1)/2...-1
-// Even Number of Points
-// Natural Frequency Order: -n/2...-1,0,1...((n/2)-1)
-// Fourier Frequency Order: 0,1...((n/2)-1),-n/2...-1
-
-void
-Fourier::shuffleNaturalToFourierOrder (double* pdVector, const int n)
-{
- double* pdTemp = new double [n];
- int i;
- if (isOdd(n)) { // Odd
- int iHalfN = (n - 1) / 2;
-
- pdTemp[0] = pdVector[iHalfN];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i + 1] = pdVector[i + 1 + iHalfN];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i + iHalfN + 1] = pdVector[i];
- } else { // Even
- int iHalfN = n / 2;
- pdTemp[0] = pdVector[iHalfN];
- for (i = 0; i < iHalfN - 1; i++)
- pdTemp[i + 1] = pdVector[i + iHalfN + 1];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i + iHalfN] = pdVector[i];
- }
-
- for (i = 0; i < n; i++)
- pdVector[i] = pdTemp[i];
- delete pdTemp;
-}
-
-void
-Fourier::shuffleNaturalToFourierOrder (std::complex<double>* pdVector, const int n)
-{
- std::complex<double>* pdTemp = new std::complex<double> [n];
- int i;
- if (isOdd(n)) { // Odd
- int iHalfN = (n - 1) / 2;
-
- pdTemp[0] = pdVector[iHalfN];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i + 1] = pdVector[i + 1 + iHalfN];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i + iHalfN + 1] = pdVector[i];
- } else { // Even
- int iHalfN = n / 2;
- pdTemp[0] = pdVector[iHalfN];
- for (i = 0; i < iHalfN - 1; i++)
- pdTemp[i + 1] = pdVector[i + iHalfN + 1];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i + iHalfN] = pdVector[i];
- }
-
- for (i = 0; i < n; i++)
- pdVector[i] = pdTemp[i];
- delete [] pdTemp;
-}
-
-
-void
-Fourier::shuffleNaturalToFourierOrder (float* pdVector, const int n)
-{
- float* pdTemp = new float [n];
- int i;
- if (isOdd (n)) { // Odd
- int iHalfN = (n - 1) / 2;
-
- pdTemp[0] = pdVector[iHalfN];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i + 1] = pdVector[i + 1 + iHalfN];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i + iHalfN + 1] = pdVector[i];
- } else { // Even
- int iHalfN = n / 2;
- pdTemp[0] = pdVector[iHalfN];
- for (i = 0; i < iHalfN - 1; i++)
- pdTemp[i + 1] = pdVector[i + iHalfN + 1];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i + iHalfN] = pdVector[i];
- }
-
- for (i = 0; i < n; i++)
- pdVector[i] = pdTemp[i];
- delete pdTemp;
-}
-
-
-
-void
-Fourier::shuffleFourierToNaturalOrder (double* pdVector, const int n)
-{
- double* pdTemp = new double [n];
- int i;
- if (isOdd(n)) { // Odd
- int iHalfN = (n - 1) / 2;
-
- pdTemp[iHalfN] = pdVector[0];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i + 1 + iHalfN] = pdVector[i + 1];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i] = pdVector[i + iHalfN + 1];
- } else { // Even
- int iHalfN = n / 2;
- pdTemp[iHalfN] = pdVector[0];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i] = pdVector[i + iHalfN];
- for (i = 0; i < iHalfN - 1; i++)
- pdTemp[i + iHalfN + 1] = pdVector[i+1];
- }
-
- for (i = 0; i < n; i++)
- pdVector[i] = pdTemp[i];
- delete pdTemp;
-}
-
-
-void
-Fourier::shuffleFourierToNaturalOrder (std::complex<double>* pdVector, const int n)
-{
- std::complex<double>* pdTemp = new std::complex<double> [n];
- int i;
- if (isOdd(n)) { // Odd
- int iHalfN = (n - 1) / 2;
-
- pdTemp[iHalfN] = pdVector[0];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i + 1 + iHalfN] = pdVector[i + 1];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i] = pdVector[i + iHalfN + 1];
- } else { // Even
- int iHalfN = n / 2;
- pdTemp[iHalfN] = pdVector[0];
- for (i = 0; i < iHalfN; i++)
- pdTemp[i] = pdVector[i + iHalfN];
- for (i = 0; i < iHalfN - 1; i++)
- pdTemp[i + iHalfN + 1] = pdVector[i+1];
- }
-
- for (i = 0; i < n; i++)
- pdVector[i] = pdTemp[i];
- delete [] pdTemp;
-}
-
-
-
-
-void
-Fourier::shuffleFourierToNaturalOrder (float* pVector, const int n)
-{
- float* pTemp = new float [n];
- int i;
- if (isOdd (n)) { // Odd
- int iHalfN = (n - 1) / 2;
-
- pTemp[iHalfN] = pVector[0];
- for (i = 0; i < iHalfN; i++)
- pTemp[i + 1 + iHalfN] = pVector[i + 1];
- for (i = 0; i < iHalfN; i++)
- pTemp[i] = pVector[i + iHalfN + 1];
- } else { // Even
- int iHalfN = n / 2;
- pTemp[iHalfN] = pVector[0];
- for (i = 0; i < iHalfN; i++)
- pTemp[i] = pVector[i + iHalfN];
- for (i = 0; i < iHalfN - 1; i++)
- pTemp[i + iHalfN + 1] = pVector[i+1];
- }
-
- for (i = 0; i < n; i++)
- pVector[i] = pTemp[i];
- delete [] pTemp;
-}
-
-