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a | b/fftn.h | ||
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1 | /*--------------------------------*-C-*---------------------------------* |
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2 | * File: |
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3 | * fftn.h |
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4 | * |
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5 | * Singleton's multivariate complex Fourier transform, computed in |
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6 | * place using mixed-radix Fast Fourier Transform algorithm. |
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7 | * |
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8 | * Called here `fftn' since it does a radix-n FFT on n-dimensional data |
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9 | * |
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10 | * Copyright(c)1995,97 Mark Olesen <olesen@me.QueensU.CA> |
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11 | * Queen's Univ at Kingston (Canada) |
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12 | * |
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13 | * Permission to use, copy, modify, and distribute this software for |
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14 | * any purpose without fee is hereby granted, provided that this |
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15 | * entire notice is included in all copies of any software which is |
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16 | * or includes a copy or modification of this software and in all |
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17 | * copies of the supporting documentation for such software. |
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18 | * |
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19 | * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR |
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20 | * IMPLIED WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR QUEEN'S |
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21 | * UNIVERSITY AT KINGSTON MAKES ANY REPRESENTATION OR WARRANTY OF ANY |
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22 | * KIND CONCERNING THE MERCHANTABILITY OF THIS SOFTWARE OR ITS |
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23 | * FITNESS FOR ANY PARTICULAR PURPOSE. |
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24 | * |
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25 | * All of which is to say that you can do what you like with this |
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26 | * source code provided you don't try to sell it as your own and you |
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27 | * include an unaltered copy of this message (including the |
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28 | * copyright). |
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29 | * |
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30 | * It is also implicitly understood that bug fixes and improvements |
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31 | * should make their way back to the general Internet community so |
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32 | * that everyone benefits. |
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33 | * |
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34 | * Brief overview of parameters: |
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35 | * ---------------------------------------------------------------------* |
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36 | * Re[]: real value array |
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37 | * Im[]: imaginary value array |
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38 | * nTotal: total number of complex values |
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39 | * nPass: number of elements involved in this pass of transform |
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40 | * nSpan: nspan/nPass = number of bytes to increment pointer |
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41 | * in Re[] and Im[] |
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42 | * isign: exponent: +1 = forward -1 = reverse |
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43 | * scaling: normalizing constant by which the final result is DIVIDED |
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44 | * scaling == -1, normalize by total dimension of the transform |
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45 | * scaling < -1, normalize by the square-root of the total dimension |
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46 | * |
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47 | * |
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48 | * Slightly more detailed information: |
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49 | * ----------------------------------------------------------------------* |
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50 | * void fft_free (void); |
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51 | * |
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52 | * free-up allocated temporary storage after finished all the Fourier |
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53 | * transforms. |
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54 | * |
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55 | * ----------------------------------------------------------------------* |
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56 | * |
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57 | * int fftn (int ndim, const int dims[], REAL Re[], REAL Im[], |
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58 | * int iSign, double scaling); |
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59 | * |
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60 | * NDIM = the total number dimensions |
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61 | * DIMS = a vector of array sizes |
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62 | * if NDIM is zero then DIMS must be zero-terminated |
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63 | * |
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64 | * RE and IM hold the real and imaginary components of the data, and |
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65 | * return the resulting real and imaginary Fourier coefficients. |
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66 | * Multidimensional data *must* be allocated contiguously. There is |
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67 | * no limit on the number of dimensions. |
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68 | * |
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69 | * ISIGN = the sign of the complex exponential |
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70 | * (ie, forward or inverse FFT) |
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71 | * the magnitude of ISIGN (normally 1) is used to determine |
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72 | * the correct indexing increment (see below). |
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73 | * |
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74 | * SCALING = normalizing constant by which the final result is DIVIDED |
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75 | * if SCALING == -1, normalize by total dimension of the transform |
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76 | * if SCALING < -1, normalize by the square-root of the total dimension |
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77 | * |
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78 | * example: |
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79 | * tri-variate transform with Re[n3][n2][n1], Im[n3][n2][n1] |
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80 | * |
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81 | * int dims[3] = {n1,n2,n3} |
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82 | * fftn (3, dims, Re, Im, 1, scaling); |
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83 | * |
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84 | * or, using a null terminated dimension list |
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85 | * int dims[4] = {n1,n2,n3,0} |
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86 | * fftn (0, dims, Re, Im, 1, scaling); |
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87 | * ----------------------------------------------------------------------*/ |
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88 | #ifndef _FFTN_H |
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89 | #define _FFTN_H |
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90 | #ifdef __cplusplus |
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91 | extern "C" { |
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92 | #endif |
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93 | extern void fft_free (void); |
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94 | |||

95 | /* double precision routine */ |
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96 | extern int fftn (int /* ndim */, |
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97 | const int /* dims */[], |
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98 | double /* Re */[], |
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99 | double /* Im */[], |
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100 | int /* isign */, |
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101 | double /* scaling */); |
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102 | |||

103 | /* float precision routine */ |
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104 | extern int fftnf (int /* ndim */, |
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105 | const int /* dims */[], |
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106 | float /* Re */[], |
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107 | float /* Im */[], |
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108 | int /* isign */, |
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109 | double /* scaling */); |
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110 | |||

111 | #ifdef __cplusplus |
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112 | } |
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113 | #endif |
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114 | #endif /* _FFTN_H */ |
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115 | /*----------------------- end-of-file (C header) -----------------------*/ |
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116 | |||

117 |