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