| 1 | #include "sopnamsp.h" | 
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| 2 | #include "machdefs.h" | 
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| 3 |  | 
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| 4 | #include <math.h> | 
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| 5 | #include <ctype.h> | 
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| 6 | #include <iostream> | 
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| 7 | #include <typeinfo> | 
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| 8 |  | 
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| 9 | #include "srandgen.h" | 
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| 10 | #include "matharr.h" | 
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| 11 | #include "fftpserver.h" | 
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| 12 | #include "fftmserver.h" | 
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| 13 | #include "fftmayer.h" | 
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| 14 | #include "fftwserver.h" | 
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| 15 | #include "ntoolsinit.h" | 
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| 16 |  | 
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| 17 | #include "timing.h" | 
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| 18 |  | 
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| 19 | /*  --------------------------------------------------------- */ | 
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| 20 | /*  ----       Programme de test de calcul de FFT        ---  */ | 
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| 21 | /*  ----          par les FFTServer de SOPHYA            ---  */ | 
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| 22 | /*  2000-2005      -   C. Magneville,  R. Ansari              */ | 
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| 23 | /*      Test FFT-1D real<>complex complex<>complex            */ | 
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| 24 | /*  Aide/Liste d'arguments :                                  */ | 
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| 25 | /*  csh> tfft                                                 */ | 
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| 26 | /*  Tests de base     ( ==> Rc=0 )                            */ | 
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| 27 | /*  csh> tfft 15 P                                            */ | 
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| 28 | /*  csh> tfft 16 P                                            */ | 
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| 29 | /*  csh> tfft 15 W                                            */ | 
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| 30 | /*  csh> tfft 16 W                                            */ | 
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| 31 | /*  csh> tfft 1531 P D 0 50 0.0002                            */ | 
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| 32 | /*  csh> tfft 1220 P D 0 50 0.0002                            */ | 
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| 33 | /*  csh> tfft 1531 W D 0 50 0.0002                            */ | 
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| 34 | /*  csh> tfft 1220 W D 0 50 0.0002                            */ | 
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| 35 | /*  --------------------------------------------------------- */ | 
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| 36 |  | 
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| 37 | static bool inp_typ_random = false ;  // true -> random input | 
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| 38 |  | 
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| 39 | template <class T> | 
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| 40 | inline T module(complex<T> c) | 
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| 41 | { | 
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| 42 | return (sqrt(c.real()*c.real()+c.imag()*c.imag())); | 
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| 43 | } | 
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| 44 |  | 
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| 45 | // Max Matrix print elts | 
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| 46 | static int nprt = 2; | 
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| 47 | static int nprtfc = 8; | 
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| 48 |  | 
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| 49 | static  int prtlev = 0; | 
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| 50 |  | 
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| 51 | //------------------------------------------------- | 
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| 52 | template <class T> | 
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| 53 | void TestFFTPack(T seuil, sa_size_t num) | 
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| 54 | { | 
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| 55 | int i; | 
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| 56 | T fact = 1./num; | 
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| 57 |  | 
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| 58 | TVector< complex<T> > inc(num), bkc(num), difc(num); | 
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| 59 | TVector< T > in(num), ino(num), bk(num),dif(num); | 
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| 60 | TVector< complex<T> > outc(num); | 
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| 61 |  | 
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| 62 | cout << " DBG/1 outc " << outc.NElts()  << endl; | 
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| 63 | outc.ReSize(32); | 
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| 64 | cout << " DBG/2 outc " << outc.NElts()  << endl; | 
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| 65 | outc.ReSize(10); | 
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| 66 | cout << " DBG/3 outc " << outc.NElts()  << endl; | 
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| 67 | outc.ReSize(48); | 
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| 68 | cout << " DBG/4 outc " << outc.NElts()  << endl; | 
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| 69 |  | 
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| 70 | if (inp_typ_random) | 
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| 71 | for (i=0; i<num ; i++){ | 
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| 72 | ino[i] = in[i] = GaussianRand(1.,0.); | 
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| 73 | inc[i] = complex<T> (in[i], 0.); | 
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| 74 | } | 
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| 75 | else for (i=0; i<num ; i++){ | 
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| 76 | ino[i] = in[i] = 0.5 + cos(2*M_PI*(double)i/(double)num) | 
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| 77 | + 2*sin(4*M_PI*(double)i/(double)num); | 
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| 78 | inc[i] = complex<T> (in[i], 0.); | 
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| 79 | } | 
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| 80 |  | 
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| 81 |  | 
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| 82 | cout << "Input / L = " << num << in; | 
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| 83 | cout << endl; | 
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| 84 |  | 
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| 85 | cout << " >>>> Testing FFTPackServer "  << endl; | 
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| 86 | FFTPackServer fftp; | 
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| 87 | cout << " Testing FFTPackServer "  << endl; | 
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| 88 | fftp.fftf(in.NElts(), in.Data()); | 
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| 89 | //  in /= (num/2.); | 
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| 90 | cout << " fftp.fftf(in.NElts(), in.Data()) FORWARD: " << in << endl; | 
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| 91 | cout << endl; | 
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| 92 | fftp.fftb(in.NElts(), in.Data()); | 
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| 93 | cout << " fftp.fftb(in.NElts(), in.Data()) BACKWARD: " << in <<endl; | 
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| 94 | cout << endl; | 
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| 95 | dif = ino-in; | 
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| 96 | cout << " dif , NElts= " << dif.NElts() << dif << endl; | 
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| 97 |  | 
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| 98 | int ndiff = 0; | 
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| 99 | T maxdif=0., vdif; | 
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| 100 | for(i=0; i<num; i++) { | 
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| 101 | vdif = fabs(dif(i)); | 
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| 102 | if (vdif > seuil)  ndiff++; | 
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| 103 | if (vdif > maxdif) maxdif = vdif; | 
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| 104 | } | 
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| 105 | cout << " Difference, Seuil= " << seuil << " NDiff= " << ndiff | 
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| 106 | << " MaxDiff= " << maxdif << endl; | 
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| 107 |  | 
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| 108 | } | 
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| 109 |  | 
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| 110 | //------------------------------------------------- | 
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| 111 | template <class T> | 
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| 112 | int TestFFTS(T seuil, FFTServerInterface & ffts, sa_size_t num) | 
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| 113 | { | 
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| 114 |  | 
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| 115 | cout <<" ===>  TestFFTS " << ffts.getInfo() << " ArrSz= " << num << endl; | 
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| 116 | int i; | 
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| 117 |  | 
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| 118 | T fact = 1.; | 
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| 119 |  | 
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| 120 | TVector< complex<T> > inc(num), bkc(num), difc(num); | 
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| 121 | TVector< T > in(num), ino(num), bk(num),dif(num); | 
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| 122 | TVector< complex<T> > outc(num); | 
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| 123 |  | 
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| 124 | if (inp_typ_random) { | 
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| 125 | cout << " TestFFTS/Random input vector ... " << endl; | 
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| 126 | ino = in = RandomSequence() ; // Nombre aleatoire gaussienne - sigma=1, mean=0 | 
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| 127 | ComplexMathArray< T > cma; | 
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| 128 | TVector< T > im(num); | 
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| 129 | im = RandomSequence(RandomSequence::Flat); | 
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| 130 | inc = cma.FillFrom(in, im); | 
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| 131 | } | 
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| 132 | else { | 
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| 133 | cout << " TestFFTS/Random input vector = 0.5+cos(2x)+2sin(4x)... " << endl; | 
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| 134 | for (i=0; i<num ; i++){ | 
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| 135 | ino[i] = in[i] = 0.5 + cos(2*M_PI*(double)i/(double)num) | 
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| 136 | + 2*sin(4*M_PI*(double)i/(double)num); | 
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| 137 | inc[i] = complex<T> (in[i], 0.); | 
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| 138 | } | 
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| 139 | } | 
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| 140 |  | 
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| 141 | cout << " Testing FFTServer " << ffts.getInfo() << endl; | 
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| 142 |  | 
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| 143 | cout << "Input / Length= " << num << endl; | 
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| 144 | if (prtlev > 0) | 
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| 145 | cout << in << endl; | 
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| 146 |  | 
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| 147 | int ndiff = 0; | 
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| 148 | int rc = 0; | 
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| 149 |  | 
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| 150 | cout << "\n ----  Testing FFT-1D(T, complex<T>) ---- " << endl; | 
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| 151 | ffts.FFTForward(in, outc); | 
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| 152 | if (prtlev > 0) | 
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| 153 | cout << " FourierCoefs: outc= \n" << outc << endl; | 
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| 154 |  | 
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| 155 | ffts.FFTBackward(outc, bk); | 
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| 156 | if (prtlev > 0) | 
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| 157 | cout << " Backward: bk= \n" << bk << endl; | 
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| 158 |  | 
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| 159 | dif = bk*fact - in; | 
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| 160 | if (prtlev > 0) | 
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| 161 | cout << " Difference dif= \n" << dif << endl; | 
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| 162 |  | 
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| 163 | ndiff = 0; | 
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| 164 | T maxdif=0., vdif; | 
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| 165 | for(i=0; i<num; i++) { | 
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| 166 | vdif = fabs(dif(i)); | 
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| 167 | if (vdif > seuil)  ndiff++; | 
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| 168 | if (vdif > maxdif) maxdif = vdif; | 
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| 169 | } | 
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| 170 | cout << " Difference, Seuil= " << seuil << " NDiff= " << ndiff | 
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| 171 | << " MaxDiff= " << maxdif << endl; | 
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| 172 |  | 
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| 173 | if (ndiff != 0)  rc += 4; | 
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| 174 |  | 
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| 175 | cout << "\n ----  Testing FFT-1D(complex<T>, complex<T>) ---- " << endl; | 
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| 176 | ffts.FFTForward(inc, outc); | 
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| 177 | if (prtlev > 0) | 
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| 178 | cout << " FourierCoef , outc= \n" << outc << endl; | 
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| 179 |  | 
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| 180 | ffts.FFTBackward(outc, bkc); | 
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| 181 | if (prtlev > 0) | 
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| 182 | cout << " Backward , bkc= \n " << bkc << endl; | 
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| 183 |  | 
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| 184 | difc = bkc*complex<T>(fact,0.) - inc; | 
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| 185 | if (prtlev > 0) | 
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| 186 | cout << " Difference , difc= \n " << difc << endl; | 
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| 187 |  | 
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| 188 | ndiff = 0; | 
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| 189 | maxdif=0.; | 
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| 190 | for(i=0; i<num; i++) { | 
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| 191 | vdif = fabs(module(difc(i))); | 
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| 192 | if (vdif > seuil)  ndiff++; | 
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| 193 | if (vdif > maxdif) maxdif = vdif; | 
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| 194 | } | 
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| 195 | cout << " Difference, Seuil= " << seuil << " NDiff= " << ndiff | 
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| 196 | << " MaxDiff= " << maxdif << endl; | 
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| 197 |  | 
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| 198 | if (ndiff != 0)  rc += 8; | 
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| 199 | return rc; | 
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| 200 | } | 
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| 201 |  | 
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| 202 | inline void MayerFFTForw(r_4* d, int sz) { | 
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| 203 | fht_r4(d, sz); | 
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| 204 | } | 
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| 205 | inline void MayerFFTForw(r_8* d, int sz) { | 
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| 206 | fht_r8(d, sz); | 
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| 207 | } | 
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| 208 |  | 
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| 209 | //------------------------------------------------- | 
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| 210 | template <class T> | 
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| 211 | int MultiFFTTest(T t, sa_size_t sz, int nloop, bool fgp) | 
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| 212 | { | 
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| 213 | cout <<" ===> MultiFFTTest<T=r_" << sizeof(T) << "> NLoop= " << nloop << " ArrSz= " << sz << endl; | 
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| 214 | TVector< T > in(sz), incopie(sz); | 
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| 215 |  | 
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| 216 | incopie = in = RandomSequence(); | 
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| 217 | FFTPackServer fftp(false); | 
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| 218 | TVector< complex<T> > outc; | 
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| 219 |  | 
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| 220 | PrtTim("MultiFFT-LoopStart"); | 
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| 221 |  | 
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| 222 | if (fgp) { | 
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| 223 | cout << " --- Test effectue avec FFTPack " << endl; | 
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| 224 | for(int kk=0; kk<nloop; kk++) { | 
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| 225 | in = incopie; | 
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| 226 | //      fftp.FFTForward(in, outc); | 
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| 227 | fftp.fftf(sz, in.Data()); | 
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| 228 | } | 
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| 229 | } | 
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| 230 | else { | 
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| 231 | cout << " --- Test effectue avec FFTMayer " << endl; | 
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| 232 | for(int kk=0; kk<nloop; kk++) { | 
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| 233 | in = incopie; | 
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| 234 | //      in += 0.01; | 
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| 235 | MayerFFTForw(in.Data(), sz); | 
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| 236 | } | 
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| 237 | } | 
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| 238 | PrtTim("MultiFFT-LoopEnd"); | 
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| 239 | cout << " ----- End ---- MultiFFTTest<T> ----" << endl; | 
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| 240 | return 0; | 
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| 241 | } | 
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| 242 |  | 
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| 243 |  | 
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| 244 |  | 
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| 245 | //------------------------------------------------- | 
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| 246 | //------------------------------------------------- | 
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| 247 | //------------------------------------------------- | 
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| 248 | int main(int narg, char* arg[]) | 
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| 249 | { | 
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| 250 |  | 
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| 251 | SophyaInit(); | 
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| 252 | InitTim();   // Initializing the CPU timer | 
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| 253 |  | 
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| 254 | if (narg < 3) { | 
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| 255 | cout << "tfft/ args error - \n  Usage tfft size p/P/M/W [f/d/F/D  PrtLev=0 MaxNPrt=50 diffthr] \n" | 
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| 256 | << "    OR  tfft size P/M FL/DL/FZ/DZ  [NFFT=10]  \n" | 
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| 257 | << " 1D real/complex-FFT test (FFTServer) \n" | 
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| 258 | << " size: input vector length \n " | 
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| 259 | << " p=FFTPackTest  P=FFTPack, M=FFTMayer, W= FFTWServer \n " | 
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| 260 | << " F/f:float, D/d:double F/D:random in_vector (default=D) \n" | 
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| 261 | << "  FL/DL : perform NFFT on a serie of float[size] or double[size] " | 
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| 262 | << "  FZ/DZ : perform NFFT on a series of complex<float>[size] or complex<double>[size] " | 
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| 263 | << " diffthr : Threshold for diff checks (=10^-6/10^-4 double/float)" | 
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| 264 | << endl; | 
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| 265 | return(1); | 
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| 266 | } | 
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| 267 |  | 
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| 268 | FFTPackServer fftp; | 
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| 269 | FFTMayerServer fftm; | 
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| 270 |  | 
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| 271 | FFTWServer fftw; | 
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| 272 |  | 
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| 273 | sa_size_t sz = atol(arg[1]); | 
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| 274 | int nprt = 50; | 
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| 275 | if (narg > 4) prtlev = atoi(arg[4]); | 
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| 276 | if (narg > 5) nprt = atoi(arg[5]); | 
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| 277 | BaseArray::SetMaxPrint(nprt, prtlev); | 
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| 278 | float fs = 1.e-4; | 
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| 279 | double ds = 1.e-6; | 
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| 280 | if (narg > 6) fs = ds = atof(arg[6]); | 
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| 281 |  | 
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| 282 | if (sz < 2) sz = 2; | 
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| 283 |  | 
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| 284 | char dtyp = 'D'; | 
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| 285 | if (narg > 3) dtyp = *arg[3]; | 
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| 286 | inp_typ_random = true; | 
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| 287 | if (islower(dtyp))  inp_typ_random = false; | 
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| 288 | dtyp = toupper(dtyp); | 
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| 289 |  | 
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| 290 |  | 
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| 291 | FFTServerInterface * ffts; | 
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| 292 | if (*arg[2] == 'M')  ffts = fftm.Clone(); | 
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| 293 | else if (*arg[2] == 'W')  ffts = fftw.Clone(); | 
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| 294 | else ffts = fftp.Clone(); | 
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| 295 |  | 
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| 296 | int nloop = 0; | 
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| 297 | bool fgpack = true; | 
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| 298 | if (arg[3][1] == 'L') {  // MultiFFT test | 
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| 299 | nloop = 10; | 
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| 300 | if (narg > 4) nloop = atoi(arg[4]); | 
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| 301 | if (*arg[2] == 'M')  fgpack = false; | 
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| 302 | } | 
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| 303 |  | 
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| 304 |  | 
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| 305 | cout << "\n ============================================= \n" | 
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| 306 | << " ------ Testing FFTServer " << typeid(*ffts).name() << "\n" | 
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| 307 | << "   VecSize= " << sz << " InputType= " | 
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| 308 | << ( (inp_typ_random ) ? " random " : " fixed(sin+cos) ") << "\n" | 
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| 309 | << " =============================================== " << endl; | 
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| 310 |  | 
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| 311 | int rc = 0; | 
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| 312 | try { | 
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| 313 | if (dtyp == 'D') { | 
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| 314 | cout << "   ------ Testing FFTServer for double (r_8)----- " << endl; | 
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| 315 | if (*arg[2] == 'p') TestFFTPack(ds, sz); | 
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| 316 | else if (nloop > 0) rc = MultiFFTTest(ds, sz, nloop, fgpack); | 
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| 317 | else rc = TestFFTS(ds, *ffts, sz); | 
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| 318 | } | 
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| 319 | else { | 
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| 320 | cout << "   ------ Testing FFTServer for float (r_4)----- " << endl; | 
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| 321 | if (*arg[2] == 'p') TestFFTPack(fs, sz); | 
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| 322 | else if (nloop > 0) rc = MultiFFTTest(fs, sz, nloop, fgpack); | 
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| 323 | else rc = TestFFTS(fs, *ffts, sz); | 
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| 324 | } | 
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| 325 | } | 
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| 326 | catch(PThrowable& exc ) { | 
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| 327 | cerr << "TestFFT-main() , Catched exception: \n" << exc.Msg() << endl; | 
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| 328 | rc = 97; | 
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| 329 | } | 
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| 330 | catch(std::exception ex) { | 
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| 331 | cerr << "TestFFT-main() , Catched exception ! " << (string)(ex.what()) << endl; | 
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| 332 | rc = 98; | 
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| 333 | } | 
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| 334 | catch(...) { | 
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| 335 | cerr << "TestFFT-main() , Catched ... exception ! " << endl; | 
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| 336 | rc = 99; | 
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| 337 | } | 
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| 338 | PrtTim("End of tfft "); | 
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| 339 | delete ffts; | 
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| 340 | cout << " =========== End of tfft Rc= " << rc << " =============" << endl; | 
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| 341 | } | 
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