[1634] | 1 | /* ----------------- apcxx.icc -------------------
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| 2 |
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| 3 | Example illustrating C++ scientific programming
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| 4 | using SOPHYA library arrays and FFT computation
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| 5 | through FFTServerInterface.
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| 6 | R. Ansari 08/2001
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| 7 | ---- Computation steps :
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| 8 | > Create a matrix (NL x NC ) (mtx)
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| 9 | > fill it with a gaussian distributed random values
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| 10 | > make a copy of the matrix (mtxs)
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| 11 | > create a 1D filter in Fourier space
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| 12 | > Loop over matrix rows k
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| 13 | >> Extract row k (fline)
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| 14 | >> compute 1D Fourier transform FFTForward (fline)
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| 15 | >> apply filter in Fourier space
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| 16 | >> compute backward 1D FFT
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| 17 | >> Replace matrix row with the filtered values
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| 18 |
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| 19 |
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| 20 | this example code can be
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| 21 | - included in a main program
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| 22 | - executed using runcxx
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| 23 | csh> runcxx -tmpdir /tmp -f apcxx.icc
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| 24 | - executed within spiapp
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| 25 | Cmd> c++execfrf apcxx.icc
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| 26 | */
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| 27 |
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| 28 | // Select computation on float or double (r_4 r_8)
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| 29 | #define FTYP r_4
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| 30 |
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| 31 | // Number of matrix lines and colums
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| 32 | int NL = 1024;
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| 33 | int NC = 4096;
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| 34 | cout << " apc_xx : NL= " << NL << " NC= " << NC << endl;
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| 35 | PrtTim("apcxx_Start");
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| 36 |
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| 37 | // BaseArray::SetDefaultMemoryMapping(BaseArray::CMemoryMapping);
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| 38 | // BaseArray::SetMaxPrint(10, 3);
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| 39 |
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| 40 | // Creation of the initial matrix
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| 41 | TMatrix< FTYP > mtx(NL, NC), mtxs;
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| 42 | // Filling matrix with gaussian random values
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| 43 | mtx = RandomSequence(RandomSequence::Gaussian, 15., 3.);
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| 44 | // Making a copy of the original matrix
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| 45 | mtxs = mtx;
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| 46 |
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| 47 | // Creation and initialization of the Fourier filter filt(nu) = 1/(1+0.3*nu)
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| 48 | int LFFT = NC/2+1;
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| 49 | TVector< complex< FTYP > > filt(LFFT, BaseArray::RowVector);
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| 50 | filt(0) = 1.;
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| 51 | for(int i=1; i<filt.Size(); i++)
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| 52 | filt(i) = 1./(1+0.3*(double)i);
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| 53 |
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| 54 |
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| 55 | // Creation of the FFTServer
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| 56 | FFTPackServer ffts;
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| 57 | ffts.setNormalize(true);
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| 58 |
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| 59 | PrtTim("apcxx_AfterInit");
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| 60 |
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| 61 | // Vectors for FFT operations
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| 62 | TVector< FTYP > fline(NC, BaseArray::RowVector);
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| 63 | TVector< complex< FTYP > > vfft;
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| 64 |
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| 65 | // Loop over matrix rows
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| 66 | for(int k=0; k<NL; k++) {
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| 67 | fline = mtx.Row(k); // Matrix row extraction
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| 68 | ffts.FFTForward(fline, vfft); // Compute 1D forward FFT
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| 69 | // Applying filter in Fourier space f(nu) = f(nu)*filter(nu)
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| 70 | vfft.MulElt(filt);
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| 71 | ffts.FFTBackward(vfft, fline); // backward FFT
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| 72 | mtx.Row(k) = fline; // replace matrix row with filtered values
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| 73 | }
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| 74 |
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| 75 | PrtTim("apcxx_AfterFFTLoop");
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| 76 |
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| 77 | // Macro KeepObj can be used with runcxx or within (s)piapp
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| 78 | // KeepObj(mtx);
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| 79 | // KeepObj(mtxs);
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| 80 |
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