1 | #include "fftpserver.h"
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2 | #include "fftpackc.h"
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3 |
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4 | #include <iostream.h>
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5 |
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6 |
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7 | /*!
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8 | \class SOPHYA::FFTPackServer
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9 | \ingroup NTools
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10 | An implementation of FFTServerInterface based on fftpack, for
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11 | one dimensional arrays.
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12 |
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13 | The class calls the c library ``fftpack'', which is accessible and documented
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14 | at http://www.netlib.org/fftpack/. However, the class functions do not
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15 | necessarily correspond with the equivalent fftpack function. For example,
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16 | fftpack "forward" transformations are in fact inverse fourier transformations.
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17 | Otherwise, the output is in the fftpack format.
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18 |
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19 |
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20 | Due to the way that fftpack manages
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21 | its work arrays, an object can run faster if the length of the input arrays
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22 | does not change. For example, if you need to do a series of FFT's
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23 | of differing length, it may be more efficient to create an fftserver object
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24 | for each length.
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25 | */
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26 |
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27 |
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28 | FFTPackServer::FFTPackServer()
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29 | : FFTServerInterface("FFTPackServer using extended FFTPack (C-version) package")
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30 |
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31 | {
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32 | //the working array and its size for the different
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33 | //possible numerical types
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34 | sz_rfft = 0;
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35 | ws_rfft = NULL;
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36 | sz_dfft = 0;
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37 | ws_dfft = NULL;
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38 | sz_cfft = 0;
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39 | ws_cfft = NULL;
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40 | sz_cdfft = 0;
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41 | ws_cdfft = NULL;
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42 | }
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43 |
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44 | FFTPackServer::~FFTPackServer()
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45 | {
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46 | if (ws_rfft) delete[] ws_rfft;
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47 | if (ws_dfft) delete[] ws_dfft;
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48 | if (ws_cfft) delete[] ws_cfft;
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49 | if (ws_cdfft) delete[] ws_cdfft;
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50 | }
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51 |
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52 | FFTServerInterface * FFTPackServer::Clone()
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53 | {
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54 | return (new FFTPackServer);
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55 | }
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56 |
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57 |
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58 | void FFTPackServer::FFTForward(TVector< complex<r_8> > const & in, TVector< complex<r_8> > & out)
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59 | {
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60 | out = in;
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61 | fftf(out.NElts(), out.Data());
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62 | if (getNormalize()) out *= (1./(r_8)(in.NElts()));
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63 | }
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64 |
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65 | void FFTPackServer::FFTBackward(TVector< complex<r_8> > const & in, TVector< complex<r_8> > & out)
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66 | {
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67 | out = in;
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68 | fftb(out.NElts(), out.Data());
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69 | }
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70 |
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71 |
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72 |
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73 | void FFTPackServer::FFTForward(TVector< complex<r_4> > const & in, TVector< complex<r_4> > & out)
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74 | {
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75 | out = in;
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76 | fftf(out.NElts(), out.Data());
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77 | if (getNormalize()) out *= (1./(r_4)(in.NElts()));
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78 | }
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79 |
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80 | void FFTPackServer::FFTBackward(TVector< complex<r_4> > const & in, TVector< complex<r_4> > & out)
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81 | {
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82 | out = in;
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83 | fftb(out.NElts(), out.Data());
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84 | }
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85 |
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86 | void FFTPackServer::FFTForward(TVector< r_4 > const & in, TVector< complex<r_4> > & out)
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87 | {
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88 | TVector< r_4 > inout(in, false);
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89 | fftf(inout.NElts(), inout.Data());
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90 | ReShapetoCompl(inout, out);
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91 | if (getNormalize()) out *= (1./(r_4)(in.NElts()));
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92 | }
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93 |
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94 | void FFTPackServer::FFTBackward(TVector< complex<r_4> > const & in, TVector< r_4 > & out)
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95 | {
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96 | ReShapetoReal(in, out);
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97 | fftb(out.NElts(), out.Data());
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98 | }
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99 |
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100 |
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101 | void FFTPackServer::FFTForward(TVector< r_8 > const & in, TVector< complex<r_8> > & out)
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102 | {
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103 | TVector< r_8 > inout(in, false);
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104 | fftf(inout.NElts(), inout.Data());
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105 | ReShapetoCompl(inout, out);
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106 | if (getNormalize()) out *= (1./(r_8)(in.NElts()));
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107 | }
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108 |
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109 | void FFTPackServer::FFTBackward(TVector< complex<r_8> > const & in, TVector< r_8 > & out)
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110 | {
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111 | ReShapetoReal(in, out);
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112 | fftb(out.NElts(), out.Data());
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113 | }
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114 |
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115 |
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116 |
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117 | void FFTPackServer::checkint_rfft(int_4 l)
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118 | {
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119 | if (sz_rfft == l) return; //checkint functions check and reallocate
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120 | //memory for the work arrays when performing
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121 | if (ws_rfft) delete[] ws_rfft; //a transform
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122 | sz_rfft = l;
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123 | ws_rfft = new r_4[2*l+15];
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124 | rffti_(&l, ws_rfft);
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125 | }
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126 |
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127 | void FFTPackServer::checkint_cfft(int_4 l)
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128 | {
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129 | if (sz_cfft == l) return;
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130 |
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131 | if (ws_cfft) delete[] ws_cfft;
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132 | sz_cfft = l;
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133 | ws_cfft = new r_4[4*l+15];
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134 | cffti_(&l, ws_cfft);
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135 | }
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136 |
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137 | void FFTPackServer::checkint_dfft(int_4 l)
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138 | {
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139 | if (sz_dfft == l) return;
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140 |
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141 | if (ws_dfft) delete[] ws_dfft;
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142 | sz_dfft = l;
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143 | ws_dfft = new r_8[2*l+15];
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144 | dffti_(&l, ws_dfft);
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145 | }
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146 |
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147 | void FFTPackServer::checkint_cdfft(int_4 l)
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148 | {
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149 | if (sz_cdfft == l) return;
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150 |
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151 | if (ws_cdfft) delete[] ws_cdfft;
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152 | sz_cdfft = l;
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153 | ws_cdfft = new r_8[4*l+15];
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154 | cdffti_(&l, ws_cdfft);
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155 | }
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156 |
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157 | /* In general forward transformations are resorted since fftpack functions
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158 | return inverse transformations */
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159 |
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160 | void FFTPackServer::fftf(int_4 l, r_4* inout)
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161 | {
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162 | checkint_rfft(l);
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163 | rfftf_(&l, inout, ws_rfft);
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164 | // for (int k= 2;k<=(l+1)/2;k++) inout[2*k-2]=-inout[2*k-2];
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165 | }
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166 |
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167 | void FFTPackServer::fftf(int_4 l, r_8* inout)
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168 | {
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169 | checkint_dfft(l);
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170 | dfftf_(&l, inout, ws_dfft);
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171 | // for (int k= 2;k<=(l+1)/2;k++) inout[2*k-2]=-inout[2*k-2];
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172 | }
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173 |
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174 | void FFTPackServer::fftf(int_4 l, complex<r_4>* inout)
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175 | {
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176 | checkint_cfft(l);
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177 | cfftf_(&l, (r_4 *)(inout), ws_cfft);
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178 | }
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179 |
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180 | void FFTPackServer::fftf(int_4 l, complex<r_8>* inout)
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181 | {
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182 | checkint_cdfft(l);
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183 | cdfftf_(&l, (r_8*)(inout), ws_cdfft);
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184 | }
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185 |
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186 | void FFTPackServer::fftb(int_4 l, r_4* inout)
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187 | {
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188 | checkint_rfft(l);
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189 | rfftb_(&l, inout, ws_rfft);
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190 | }
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191 |
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192 | void FFTPackServer::fftb(int_4 l, r_8* inout)
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193 | {
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194 | checkint_dfft(l);
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195 | dfftb_(&l, inout, ws_dfft);
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196 | }
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197 |
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198 | void FFTPackServer::fftb(int_4 l, complex<r_4>* inout)
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199 | {
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200 | checkint_cfft(l);
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201 | cfftb_(&l, (r_4 *)(inout), ws_cfft);
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202 | }
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203 |
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204 | void FFTPackServer::fftb(int_4 l, complex<r_8>* inout)
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205 | {
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206 | checkint_cdfft(l);
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207 | cdfftb_(&l, (r_8 *)(inout), ws_cdfft);
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208 | }
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209 |
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210 | // Methodes pour reordonner les donnees
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211 |
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212 | /* --Methode-- */
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213 | void FFTPackServer::ReShapetoReal( TVector< complex<r_8> > const & in, TVector< r_8 > & out)
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214 | {
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215 | int n = in.NElts();
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216 | int ncs = (fabs(in(n-1).imag()) > 1.e-12) ? ncs = 2*n-1 : ncs = n*2-2;
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217 | out.ReSize(ncs);
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218 | int k;
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219 | out(0) = in(0).real();
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220 | for(k=1;k<n-1;k++) {
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221 | out(2*k-1) = in(k).real();
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222 | out(2*k) = in(k).imag();
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223 | }
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224 | if (ncs == n*2-2) out(ncs-1) = in(n-1).real();
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225 | else { out(ncs-2) = in(n-1).real(); out(ncs-1) = in(n-1).imag(); }
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226 | }
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227 |
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228 | /* --Methode-- */
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229 | void FFTPackServer::ReShapetoReal( TVector< complex<r_4> > const & in, TVector< r_4 > & out)
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230 | {
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231 | int n = in.NElts();
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232 | int ncs = (fabs(in(n-1).imag()) > 1.e-12) ? ncs = 2*n-1 : ncs = n*2-2;
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233 | out.ReSize(ncs);
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234 | int k;
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235 | out(0) = in(0).real();
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236 | for(k=1;k<n-1;k++) {
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237 | out(2*k-1) = in(k).real();
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238 | out(2*k) = in(k).imag();
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239 | }
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240 | if (ncs == n*2-2) out(ncs-1) = in(n-1).real();
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241 | else { out(ncs-2) = in(n-1).real(); out(ncs-1) = in(n-1).imag(); }
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242 | }
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243 |
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244 |
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245 | /* --Methode-- */
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246 | void FFTPackServer::ReShapetoCompl(TVector< r_8 > const & in, TVector< complex<r_8> > & out)
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247 | {
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248 | uint_4 n = in.NElts();
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249 | uint_4 ncs = n/2+1;
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250 | uint_4 nc = (n%2 != 0) ? n/2+1 : n/2;
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251 | out.ReSize(ncs);
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252 | out(0) = complex<r_8> (in(0),0.);
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253 | for(int k=1;k<nc;k++)
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254 | out(k) = complex<r_4> (in(2*k-1), in(2*k));
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255 | if (n%2 == 0) out(ncs-1) = complex<r_8>(in(n-1), 0.);
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256 |
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257 | }
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258 |
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259 | /* --Methode-- */
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260 | void FFTPackServer::ReShapetoCompl(TVector< r_4 > const & in, TVector< complex<r_4> > & out)
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261 | {
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262 | uint_4 n = in.NElts();
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263 | uint_4 ncs = n/2+1;
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264 | uint_4 nc = (n%2 != 0) ? n/2+1 : n/2;
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265 | out.ReSize(ncs);
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266 | out(0) = complex<r_4> (in(0),0.);
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267 | for(int k=1;k<nc;k++)
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268 | out(k) = complex<r_4> (in(2*k-1), in(2*k));
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269 | if (n%2 == 0) out(ncs-1) = complex<r_4>(in(n-1), 0.);
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270 | }
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