diff options
Diffstat (limited to 'unsupported/test/FFTW.cpp')
-rw-r--r-- | unsupported/test/FFTW.cpp | 170 |
1 files changed, 139 insertions, 31 deletions
diff --git a/unsupported/test/FFTW.cpp b/unsupported/test/FFTW.cpp index c182cab9d..838ddb238 100644 --- a/unsupported/test/FFTW.cpp +++ b/unsupported/test/FFTW.cpp @@ -23,10 +23,13 @@ // Eigen. If not, see <http://www.gnu.org/licenses/>. #include "main.h" -#include <fftw3.h> #include <unsupported/Eigen/FFT> +template <typename T> +std::complex<T> RandomCpx() { return std::complex<T>( (T)(rand()/(T)RAND_MAX - .5), (T)(rand()/(T)RAND_MAX - .5) ); } + using namespace std; +using namespace Eigen; float norm(float x) {return x*x;} double norm(double x) {return x*x;} @@ -40,31 +43,30 @@ complex<long double> promote(double x) { return complex<long double>( x); } complex<long double> promote(long double x) { return complex<long double>( x); } - template <typename T1,typename T2> - long double fft_rmse( const vector<T1> & fftbuf,const vector<T2> & timebuf) + template <typename VT1,typename VT2> + long double fft_rmse( const VT1 & fftbuf,const VT2 & timebuf) { long double totalpower=0; long double difpower=0; long double pi = acos((long double)-1 ); - cerr <<"idx\ttruth\t\tvalue\t|dif|=\n"; - for (size_t k0=0;k0<fftbuf.size();++k0) { + for (size_t k0=0;k0<(size_t)fftbuf.size();++k0) { complex<long double> acc = 0; long double phinc = -2.*k0* pi / timebuf.size(); - for (size_t k1=0;k1<timebuf.size();++k1) { + for (size_t k1=0;k1<(size_t)timebuf.size();++k1) { acc += promote( timebuf[k1] ) * exp( complex<long double>(0,k1*phinc) ); } totalpower += norm(acc); complex<long double> x = promote(fftbuf[k0]); complex<long double> dif = acc - x; difpower += norm(dif); - cerr << k0 << "\t" << acc << "\t" << x << "\t" << sqrt(norm(dif)) << endl; + //cerr << k0 << "\t" << acc << "\t" << x << "\t" << sqrt(norm(dif)) << endl; } cerr << "rmse:" << sqrt(difpower/totalpower) << endl; return sqrt(difpower/totalpower); } - template <typename T1,typename T2> - long double dif_rmse( const vector<T1> buf1,const vector<T2> buf2) + template <typename VT1,typename VT2> + long double dif_rmse( const VT1 buf1,const VT2 buf2) { long double totalpower=0; long double difpower=0; @@ -76,49 +78,157 @@ complex<long double> promote(long double x) { return complex<long double>( x); return sqrt(difpower/totalpower); } -template <class T> -void test_scalar(int nfft) +enum { StdVectorContainer, EigenVectorContainer }; + +template<int Container, typename Scalar> struct VectorType; + +template<typename Scalar> struct VectorType<StdVectorContainer,Scalar> { - typedef typename Eigen::FFT<T>::Complex Complex; - typedef typename Eigen::FFT<T>::Scalar Scalar; + typedef vector<Scalar> type; +}; + +template<typename Scalar> struct VectorType<EigenVectorContainer,Scalar> +{ + typedef Matrix<Scalar,Dynamic,1> type; +}; + +template <int Container, typename T> +void test_scalar_generic(int nfft) +{ + typedef typename FFT<T>::Complex Complex; + typedef typename FFT<T>::Scalar Scalar; + typedef typename VectorType<Container,Scalar>::type ScalarVector; + typedef typename VectorType<Container,Complex>::type ComplexVector; FFT<T> fft; - vector<Scalar> inbuf(nfft); - vector<Complex> outbuf; + ScalarVector tbuf(nfft); + ComplexVector freqBuf; for (int k=0;k<nfft;++k) - inbuf[k]= (T)(rand()/(double)RAND_MAX - .5); - fft.fwd( outbuf,inbuf); - VERIFY( fft_rmse(outbuf,inbuf) < test_precision<T>() );// gross check + tbuf[k]= (T)( rand()/(double)RAND_MAX - .5); - vector<Scalar> buf3; - fft.inv( buf3 , outbuf); - VERIFY( dif_rmse(inbuf,buf3) < test_precision<T>() );// gross check + // make sure it DOESN'T give the right full spectrum answer + // if we've asked for half-spectrum + fft.SetFlag(fft.HalfSpectrum ); + fft.fwd( freqBuf,tbuf); + VERIFY((size_t)freqBuf.size() == (size_t)( (nfft>>1)+1) ); + VERIFY( fft_rmse(freqBuf,tbuf) < test_precision<T>() );// gross check + + fft.ClearFlag(fft.HalfSpectrum ); + fft.fwd( freqBuf,tbuf); + VERIFY( (size_t)freqBuf.size() == (size_t)nfft); + VERIFY( fft_rmse(freqBuf,tbuf) < test_precision<T>() );// gross check + + if (nfft&1) + return; // odd FFTs get the wrong size inverse FFT + + ScalarVector tbuf2; + fft.inv( tbuf2 , freqBuf); + VERIFY( dif_rmse(tbuf,tbuf2) < test_precision<T>() );// gross check + + + // verify that the Unscaled flag takes effect + ScalarVector tbuf3; + fft.SetFlag(fft.Unscaled); + + fft.inv( tbuf3 , freqBuf); + + for (int k=0;k<nfft;++k) + tbuf3[k] *= T(1./nfft); + + + //for (size_t i=0;i<(size_t) tbuf.size();++i) + // cout << "freqBuf=" << freqBuf[i] << " in2=" << tbuf3[i] << " - in=" << tbuf[i] << " => " << (tbuf3[i] - tbuf[i] ) << endl; + + VERIFY( dif_rmse(tbuf,tbuf3) < test_precision<T>() );// gross check + + // verify that ClearFlag works + fft.ClearFlag(fft.Unscaled); + fft.inv( tbuf2 , freqBuf); + VERIFY( dif_rmse(tbuf,tbuf2) < test_precision<T>() );// gross check } -template <class T> -void test_complex(int nfft) +template <typename T> +void test_scalar(int nfft) { - typedef typename Eigen::FFT<T>::Complex Complex; + test_scalar_generic<StdVectorContainer,T>(nfft); + //test_scalar_generic<EigenVectorContainer,T>(nfft); +} + + +template <int Container, typename T> +void test_complex_generic(int nfft) +{ + typedef typename FFT<T>::Complex Complex; + typedef typename VectorType<Container,Complex>::type ComplexVector; FFT<T> fft; - vector<Complex> inbuf(nfft); - vector<Complex> outbuf; - vector<Complex> buf3; + ComplexVector inbuf(nfft); + ComplexVector outbuf; + ComplexVector buf3; for (int k=0;k<nfft;++k) inbuf[k]= Complex( (T)(rand()/(double)RAND_MAX - .5), (T)(rand()/(double)RAND_MAX - .5) ); fft.fwd( outbuf , inbuf); VERIFY( fft_rmse(outbuf,inbuf) < test_precision<T>() );// gross check - fft.inv( buf3 , outbuf); VERIFY( dif_rmse(inbuf,buf3) < test_precision<T>() );// gross check + + // verify that the Unscaled flag takes effect + ComplexVector buf4; + fft.SetFlag(fft.Unscaled); + fft.inv( buf4 , outbuf); + for (int k=0;k<nfft;++k) + buf4[k] *= T(1./nfft); + VERIFY( dif_rmse(inbuf,buf4) < test_precision<T>() );// gross check + + // verify that ClearFlag works + fft.ClearFlag(fft.Unscaled); + fft.inv( buf3 , outbuf); + VERIFY( dif_rmse(inbuf,buf3) < test_precision<T>() );// gross check } -void test_FFTW() +template <typename T> +void test_complex(int nfft) +{ + test_complex_generic<StdVectorContainer,T>(nfft); + test_complex_generic<EigenVectorContainer,T>(nfft); +} +/* +template <typename T,int nrows,int ncols> +void test_complex2d() { + typedef typename Eigen::FFT<T>::Complex Complex; + FFT<T> fft; + Eigen::Matrix<Complex,nrows,ncols> src,src2,dst,dst2; + + src = Eigen::Matrix<Complex,nrows,ncols>::Random(); + //src = Eigen::Matrix<Complex,nrows,ncols>::Identity(); + + for (int k=0;k<ncols;k++) { + Eigen::Matrix<Complex,nrows,1> tmpOut; + fft.fwd( tmpOut,src.col(k) ); + dst2.col(k) = tmpOut; + } + + for (int k=0;k<nrows;k++) { + Eigen::Matrix<Complex,1,ncols> tmpOut; + fft.fwd( tmpOut, dst2.row(k) ); + dst2.row(k) = tmpOut; + } + fft.fwd2(dst.data(),src.data(),ncols,nrows); + fft.inv2(src2.data(),dst.data(),ncols,nrows); + VERIFY( (src-src2).norm() < test_precision<T>() ); + VERIFY( (dst-dst2).norm() < test_precision<T>() ); +} +*/ + +void test_FFTW() +{ + //CALL_SUBTEST( ( test_complex2d<float,4,8> () ) ); CALL_SUBTEST( ( test_complex2d<double,4,8> () ) ); + //CALL_SUBTEST( ( test_complex2d<long double,4,8> () ) ); CALL_SUBTEST( test_complex<float>(32) ); CALL_SUBTEST( test_complex<double>(32) ); CALL_SUBTEST( test_complex<long double>(32) ); CALL_SUBTEST( test_complex<float>(256) ); CALL_SUBTEST( test_complex<double>(256) ); CALL_SUBTEST( test_complex<long double>(256) ); CALL_SUBTEST( test_complex<float>(3*8) ); CALL_SUBTEST( test_complex<double>(3*8) ); CALL_SUBTEST( test_complex<long double>(3*8) ); @@ -127,8 +237,6 @@ void test_FFTW() CALL_SUBTEST( test_complex<float>(2*3*4*5) ); CALL_SUBTEST( test_complex<double>(2*3*4*5) ); CALL_SUBTEST( test_complex<long double>(2*3*4*5) ); CALL_SUBTEST( test_complex<float>(2*3*4*5*7) ); CALL_SUBTEST( test_complex<double>(2*3*4*5*7) ); CALL_SUBTEST( test_complex<long double>(2*3*4*5*7) ); - - CALL_SUBTEST( test_scalar<float>(32) ); CALL_SUBTEST( test_scalar<double>(32) ); CALL_SUBTEST( test_scalar<long double>(32) ); CALL_SUBTEST( test_scalar<float>(45) ); CALL_SUBTEST( test_scalar<double>(45) ); CALL_SUBTEST( test_scalar<long double>(45) ); CALL_SUBTEST( test_scalar<float>(50) ); CALL_SUBTEST( test_scalar<double>(50) ); CALL_SUBTEST( test_scalar<long double>(50) ); |