/*M/////////////////////////////////////////////////////////////////////////////////////// // // IMPORTANT: READ BEFORE DOWNLOADING, COPYING, INSTALLING OR USING. // // By downloading, copying, installing or using the software you agree to this license. // If you do not agree to this license, do not download, install, // copy or use the software. // // // Intel License Agreement // For Open Source Computer Vision Library // // Copyright (C) 2000, Intel Corporation, all rights reserved. // Third party copyrights are property of their respective owners. // // Redistribution and use in source and binary forms, with or without modification, // are permitted provided that the following conditions are met: // // * Redistribution's of source code must retain the above copyright notice, // this list of conditions and the following disclaimer. // // * Redistribution's in binary form must reproduce the above copyright notice, // this list of conditions and the following disclaimer in the documentation // and/or other materials provided with the distribution. // // * The name of Intel Corporation may not be used to endorse or promote products // derived from this software without specific prior written permission. // // This software is provided by the copyright holders and contributors "as is" and // any express or implied warranties, including, but not limited to, the implied // warranties of merchantability and fitness for a particular purpose are disclaimed. // In no event shall the Intel Corporation or contributors be liable for any direct, // indirect, incidental, special, exemplary, or consequential damages // (including, but not limited to, procurement of substitute goods or services; // loss of use, data, or profits; or business interruption) however caused // and on any theory of liability, whether in contract, strict liability, // or tort (including negligence or otherwise) arising in any way out of // the use of this software, even if advised of the possibility of such damage. // //M*/ #include "precomp.hpp" #include "opencv2/core/opencl/runtime/opencl_clamdfft.hpp" #include "opencv2/core/opencl/runtime/opencl_core.hpp" #include "opencl_kernels.hpp" namespace cv { // On Win64 optimized versions of DFT and DCT fail the tests (fixed in VS2010) #if defined _MSC_VER && !defined CV_ICC && defined _M_X64 && _MSC_VER < 1600 # pragma optimize("", off) # pragma warning(disable: 4748) #endif #if defined HAVE_IPP && IPP_VERSION_MAJOR*100 + IPP_VERSION_MINOR >= 701 #define USE_IPP_DFT 1 #else #undef USE_IPP_DFT #endif /****************************************************************************************\ Discrete Fourier Transform \****************************************************************************************/ #define CV_MAX_LOCAL_DFT_SIZE (1 << 15) static unsigned char bitrevTab[] = { 0x00,0x80,0x40,0xc0,0x20,0xa0,0x60,0xe0,0x10,0x90,0x50,0xd0,0x30,0xb0,0x70,0xf0, 0x08,0x88,0x48,0xc8,0x28,0xa8,0x68,0xe8,0x18,0x98,0x58,0xd8,0x38,0xb8,0x78,0xf8, 0x04,0x84,0x44,0xc4,0x24,0xa4,0x64,0xe4,0x14,0x94,0x54,0xd4,0x34,0xb4,0x74,0xf4, 0x0c,0x8c,0x4c,0xcc,0x2c,0xac,0x6c,0xec,0x1c,0x9c,0x5c,0xdc,0x3c,0xbc,0x7c,0xfc, 0x02,0x82,0x42,0xc2,0x22,0xa2,0x62,0xe2,0x12,0x92,0x52,0xd2,0x32,0xb2,0x72,0xf2, 0x0a,0x8a,0x4a,0xca,0x2a,0xaa,0x6a,0xea,0x1a,0x9a,0x5a,0xda,0x3a,0xba,0x7a,0xfa, 0x06,0x86,0x46,0xc6,0x26,0xa6,0x66,0xe6,0x16,0x96,0x56,0xd6,0x36,0xb6,0x76,0xf6, 0x0e,0x8e,0x4e,0xce,0x2e,0xae,0x6e,0xee,0x1e,0x9e,0x5e,0xde,0x3e,0xbe,0x7e,0xfe, 0x01,0x81,0x41,0xc1,0x21,0xa1,0x61,0xe1,0x11,0x91,0x51,0xd1,0x31,0xb1,0x71,0xf1, 0x09,0x89,0x49,0xc9,0x29,0xa9,0x69,0xe9,0x19,0x99,0x59,0xd9,0x39,0xb9,0x79,0xf9, 0x05,0x85,0x45,0xc5,0x25,0xa5,0x65,0xe5,0x15,0x95,0x55,0xd5,0x35,0xb5,0x75,0xf5, 0x0d,0x8d,0x4d,0xcd,0x2d,0xad,0x6d,0xed,0x1d,0x9d,0x5d,0xdd,0x3d,0xbd,0x7d,0xfd, 0x03,0x83,0x43,0xc3,0x23,0xa3,0x63,0xe3,0x13,0x93,0x53,0xd3,0x33,0xb3,0x73,0xf3, 0x0b,0x8b,0x4b,0xcb,0x2b,0xab,0x6b,0xeb,0x1b,0x9b,0x5b,0xdb,0x3b,0xbb,0x7b,0xfb, 0x07,0x87,0x47,0xc7,0x27,0xa7,0x67,0xe7,0x17,0x97,0x57,0xd7,0x37,0xb7,0x77,0xf7, 0x0f,0x8f,0x4f,0xcf,0x2f,0xaf,0x6f,0xef,0x1f,0x9f,0x5f,0xdf,0x3f,0xbf,0x7f,0xff }; static const double DFTTab[][2] = { { 1.00000000000000000, 0.00000000000000000 }, {-1.00000000000000000, 0.00000000000000000 }, { 0.00000000000000000, 1.00000000000000000 }, { 0.70710678118654757, 0.70710678118654746 }, { 0.92387953251128674, 0.38268343236508978 }, { 0.98078528040323043, 0.19509032201612825 }, { 0.99518472667219693, 0.09801714032956060 }, { 0.99879545620517241, 0.04906767432741802 }, { 0.99969881869620425, 0.02454122852291229 }, { 0.99992470183914450, 0.01227153828571993 }, { 0.99998117528260111, 0.00613588464915448 }, { 0.99999529380957619, 0.00306795676296598 }, { 0.99999882345170188, 0.00153398018628477 }, { 0.99999970586288223, 0.00076699031874270 }, { 0.99999992646571789, 0.00038349518757140 }, { 0.99999998161642933, 0.00019174759731070 }, { 0.99999999540410733, 0.00009587379909598 }, { 0.99999999885102686, 0.00004793689960307 }, { 0.99999999971275666, 0.00002396844980842 }, { 0.99999999992818922, 0.00001198422490507 }, { 0.99999999998204725, 0.00000599211245264 }, { 0.99999999999551181, 0.00000299605622633 }, { 0.99999999999887801, 0.00000149802811317 }, { 0.99999999999971945, 0.00000074901405658 }, { 0.99999999999992983, 0.00000037450702829 }, { 0.99999999999998246, 0.00000018725351415 }, { 0.99999999999999567, 0.00000009362675707 }, { 0.99999999999999889, 0.00000004681337854 }, { 0.99999999999999978, 0.00000002340668927 }, { 0.99999999999999989, 0.00000001170334463 }, { 1.00000000000000000, 0.00000000585167232 }, { 1.00000000000000000, 0.00000000292583616 } }; #define BitRev(i,shift) \ ((int)((((unsigned)bitrevTab[(i)&255] << 24)+ \ ((unsigned)bitrevTab[((i)>> 8)&255] << 16)+ \ ((unsigned)bitrevTab[((i)>>16)&255] << 8)+ \ ((unsigned)bitrevTab[((i)>>24)])) >> (shift))) static int DFTFactorize( int n, int* factors ) { int nf = 0, f, i, j; if( n <= 5 ) { factors[0] = n; return 1; } f = (((n - 1)^n)+1) >> 1; if( f > 1 ) { factors[nf++] = f; n = f == n ? 1 : n/f; } for( f = 3; n > 1; ) { int d = n/f; if( d*f == n ) { factors[nf++] = f; n = d; } else { f += 2; if( f*f > n ) break; } } if( n > 1 ) factors[nf++] = n; f = (factors[0] & 1) == 0; for( i = f; i < (nf+f)/2; i++ ) CV_SWAP( factors[i], factors[nf-i-1+f], j ); return nf; } static void DFTInit( int n0, int nf, int* factors, int* itab, int elem_size, void* _wave, int inv_itab ) { int digits[34], radix[34]; int n = factors[0], m = 0; int* itab0 = itab; int i, j, k; Complex w, w1; double t; if( n0 <= 5 ) { itab[0] = 0; itab[n0-1] = n0-1; if( n0 != 4 ) { for( i = 1; i < n0-1; i++ ) itab[i] = i; } else { itab[1] = 2; itab[2] = 1; } if( n0 == 5 ) { if( elem_size == sizeof(Complex) ) ((Complex*)_wave)[0] = Complex(1.,0.); else ((Complex*)_wave)[0] = Complex(1.f,0.f); } if( n0 != 4 ) return; m = 2; } else { // radix[] is initialized from index 'nf' down to zero assert (nf < 34); radix[nf] = 1; digits[nf] = 0; for( i = 0; i < nf; i++ ) { digits[i] = 0; radix[nf-i-1] = radix[nf-i]*factors[nf-i-1]; } if( inv_itab && factors[0] != factors[nf-1] ) itab = (int*)_wave; if( (n & 1) == 0 ) { int a = radix[1], na2 = n*a>>1, na4 = na2 >> 1; for( m = 0; (unsigned)(1 << m) < (unsigned)n; m++ ) ; if( n <= 2 ) { itab[0] = 0; itab[1] = na2; } else if( n <= 256 ) { int shift = 10 - m; for( i = 0; i <= n - 4; i += 4 ) { j = (bitrevTab[i>>2]>>shift)*a; itab[i] = j; itab[i+1] = j + na2; itab[i+2] = j + na4; itab[i+3] = j + na2 + na4; } } else { int shift = 34 - m; for( i = 0; i < n; i += 4 ) { int i4 = i >> 2; j = BitRev(i4,shift)*a; itab[i] = j; itab[i+1] = j + na2; itab[i+2] = j + na4; itab[i+3] = j + na2 + na4; } } digits[1]++; if( nf >= 2 ) { for( i = n, j = radix[2]; i < n0; ) { for( k = 0; k < n; k++ ) itab[i+k] = itab[k] + j; if( (i += n) >= n0 ) break; j += radix[2]; for( k = 1; ++digits[k] >= factors[k]; k++ ) { digits[k] = 0; j += radix[k+2] - radix[k]; } } } } else { for( i = 0, j = 0;; ) { itab[i] = j; if( ++i >= n0 ) break; j += radix[1]; for( k = 0; ++digits[k] >= factors[k]; k++ ) { digits[k] = 0; j += radix[k+2] - radix[k]; } } } if( itab != itab0 ) { itab0[0] = 0; for( i = n0 & 1; i < n0; i += 2 ) { int k0 = itab[i]; int k1 = itab[i+1]; itab0[k0] = i; itab0[k1] = i+1; } } } if( (n0 & (n0-1)) == 0 ) { w.re = w1.re = DFTTab[m][0]; w.im = w1.im = -DFTTab[m][1]; } else { t = -CV_PI*2/n0; w.im = w1.im = sin(t); w.re = w1.re = std::sqrt(1. - w1.im*w1.im); } n = (n0+1)/2; if( elem_size == sizeof(Complex) ) { Complex* wave = (Complex*)_wave; wave[0].re = 1.; wave[0].im = 0.; if( (n0 & 1) == 0 ) { wave[n].re = -1.; wave[n].im = 0; } for( i = 1; i < n; i++ ) { wave[i] = w; wave[n0-i].re = w.re; wave[n0-i].im = -w.im; t = w.re*w1.re - w.im*w1.im; w.im = w.re*w1.im + w.im*w1.re; w.re = t; } } else { Complex* wave = (Complex*)_wave; assert( elem_size == sizeof(Complex) ); wave[0].re = 1.f; wave[0].im = 0.f; if( (n0 & 1) == 0 ) { wave[n].re = -1.f; wave[n].im = 0.f; } for( i = 1; i < n; i++ ) { wave[i].re = (float)w.re; wave[i].im = (float)w.im; wave[n0-i].re = (float)w.re; wave[n0-i].im = (float)-w.im; t = w.re*w1.re - w.im*w1.im; w.im = w.re*w1.im + w.im*w1.re; w.re = t; } } } template struct DFT_VecR4 { int operator()(Complex*, int, int, int&, const Complex*) const { return 1; } }; #if CV_SSE3 // optimized radix-4 transform template<> struct DFT_VecR4 { int operator()(Complex* dst, int N, int n0, int& _dw0, const Complex* wave) const { int n = 1, i, j, nx, dw, dw0 = _dw0; __m128 z = _mm_setzero_ps(), x02=z, x13=z, w01=z, w23=z, y01, y23, t0, t1; Cv32suf t; t.i = 0x80000000; __m128 neg0_mask = _mm_load_ss(&t.f); __m128 neg3_mask = _mm_shuffle_ps(neg0_mask, neg0_mask, _MM_SHUFFLE(0,1,2,3)); for( ; n*4 <= N; ) { nx = n; n *= 4; dw0 /= 4; for( i = 0; i < n0; i += n ) { Complexf *v0, *v1; v0 = dst + i; v1 = v0 + nx*2; x02 = _mm_loadl_pi(x02, (const __m64*)&v0[0]); x13 = _mm_loadl_pi(x13, (const __m64*)&v0[nx]); x02 = _mm_loadh_pi(x02, (const __m64*)&v1[0]); x13 = _mm_loadh_pi(x13, (const __m64*)&v1[nx]); y01 = _mm_add_ps(x02, x13); y23 = _mm_sub_ps(x02, x13); t1 = _mm_xor_ps(_mm_shuffle_ps(y01, y23, _MM_SHUFFLE(2,3,3,2)), neg3_mask); t0 = _mm_movelh_ps(y01, y23); y01 = _mm_add_ps(t0, t1); y23 = _mm_sub_ps(t0, t1); _mm_storel_pi((__m64*)&v0[0], y01); _mm_storeh_pi((__m64*)&v0[nx], y01); _mm_storel_pi((__m64*)&v1[0], y23); _mm_storeh_pi((__m64*)&v1[nx], y23); for( j = 1, dw = dw0; j < nx; j++, dw += dw0 ) { v0 = dst + i + j; v1 = v0 + nx*2; x13 = _mm_loadl_pi(x13, (const __m64*)&v0[nx]); w23 = _mm_loadl_pi(w23, (const __m64*)&wave[dw*2]); x13 = _mm_loadh_pi(x13, (const __m64*)&v1[nx]); // x1, x3 = r1 i1 r3 i3 w23 = _mm_loadh_pi(w23, (const __m64*)&wave[dw*3]); // w2, w3 = wr2 wi2 wr3 wi3 t0 = _mm_mul_ps(_mm_moveldup_ps(x13), w23); t1 = _mm_mul_ps(_mm_movehdup_ps(x13), _mm_shuffle_ps(w23, w23, _MM_SHUFFLE(2,3,0,1))); x13 = _mm_addsub_ps(t0, t1); // re(x1*w2), im(x1*w2), re(x3*w3), im(x3*w3) x02 = _mm_loadl_pi(x02, (const __m64*)&v1[0]); // x2 = r2 i2 w01 = _mm_loadl_pi(w01, (const __m64*)&wave[dw]); // w1 = wr1 wi1 x02 = _mm_shuffle_ps(x02, x02, _MM_SHUFFLE(0,0,1,1)); w01 = _mm_shuffle_ps(w01, w01, _MM_SHUFFLE(1,0,0,1)); x02 = _mm_mul_ps(x02, w01); x02 = _mm_addsub_ps(x02, _mm_movelh_ps(x02, x02)); // re(x0) im(x0) re(x2*w1), im(x2*w1) x02 = _mm_loadl_pi(x02, (const __m64*)&v0[0]); y01 = _mm_add_ps(x02, x13); y23 = _mm_sub_ps(x02, x13); t1 = _mm_xor_ps(_mm_shuffle_ps(y01, y23, _MM_SHUFFLE(2,3,3,2)), neg3_mask); t0 = _mm_movelh_ps(y01, y23); y01 = _mm_add_ps(t0, t1); y23 = _mm_sub_ps(t0, t1); _mm_storel_pi((__m64*)&v0[0], y01); _mm_storeh_pi((__m64*)&v0[nx], y01); _mm_storel_pi((__m64*)&v1[0], y23); _mm_storeh_pi((__m64*)&v1[nx], y23); } } } _dw0 = dw0; return n; } }; #endif #ifdef USE_IPP_DFT static void ippsDFTFwd_CToC( const Complex* src, Complex* dst, const void* spec, uchar* buf) { ippsDFTFwd_CToC_32fc( (const Ipp32fc*)src, (Ipp32fc*)dst, (const IppsDFTSpec_C_32fc*)spec, buf); } static void ippsDFTFwd_CToC( const Complex* src, Complex* dst, const void* spec, uchar* buf) { ippsDFTFwd_CToC_64fc( (const Ipp64fc*)src, (Ipp64fc*)dst, (const IppsDFTSpec_C_64fc*)spec, buf); } static void ippsDFTInv_CToC( const Complex* src, Complex* dst, const void* spec, uchar* buf) { ippsDFTInv_CToC_32fc( (const Ipp32fc*)src, (Ipp32fc*)dst, (const IppsDFTSpec_C_32fc*)spec, buf); } static void ippsDFTInv_CToC( const Complex* src, Complex* dst, const void* spec, uchar* buf) { ippsDFTInv_CToC_64fc( (const Ipp64fc*)src, (Ipp64fc*)dst, (const IppsDFTSpec_C_64fc*)spec, buf); } static void ippsDFTFwd_RToPack( const float* src, float* dst, const void* spec, uchar* buf) { ippsDFTFwd_RToPack_32f( src, dst, (const IppsDFTSpec_R_32f*)spec, buf); } static void ippsDFTFwd_RToPack( const double* src, double* dst, const void* spec, uchar* buf) { ippsDFTFwd_RToPack_64f( src, dst, (const IppsDFTSpec_R_64f*)spec, buf); } static void ippsDFTInv_PackToR( const float* src, float* dst, const void* spec, uchar* buf) { ippsDFTInv_PackToR_32f( src, dst, (const IppsDFTSpec_R_32f*)spec, buf); } static void ippsDFTInv_PackToR( const double* src, double* dst, const void* spec, uchar* buf) { ippsDFTInv_PackToR_64f( src, dst, (const IppsDFTSpec_R_64f*)spec, buf); } #endif enum { DFT_NO_PERMUTE=256, DFT_COMPLEX_INPUT_OR_OUTPUT=512 }; // mixed-radix complex discrete Fourier transform: double-precision version template static void DFT( const Complex* src, Complex* dst, int n, int nf, const int* factors, const int* itab, const Complex* wave, int tab_size, const void* #ifdef USE_IPP_DFT spec #endif , Complex* buf, int flags, double _scale ) { static const T sin_120 = (T)0.86602540378443864676372317075294; static const T fft5_2 = (T)0.559016994374947424102293417182819; static const T fft5_3 = (T)-0.951056516295153572116439333379382; static const T fft5_4 = (T)-1.538841768587626701285145288018455; static const T fft5_5 = (T)0.363271264002680442947733378740309; int n0 = n, f_idx, nx; int inv = flags & DFT_INVERSE; int dw0 = tab_size, dw; int i, j, k; Complex t; T scale = (T)_scale; int tab_step; #ifdef USE_IPP_DFT if( spec ) { if( !inv ) ippsDFTFwd_CToC( src, dst, spec, (uchar*)buf ); else ippsDFTInv_CToC( src, dst, spec, (uchar*)buf ); return; } #endif tab_step = tab_size == n ? 1 : tab_size == n*2 ? 2 : tab_size/n; // 0. shuffle data if( dst != src ) { assert( (flags & DFT_NO_PERMUTE) == 0 ); if( !inv ) { for( i = 0; i <= n - 2; i += 2, itab += 2*tab_step ) { int k0 = itab[0], k1 = itab[tab_step]; assert( (unsigned)k0 < (unsigned)n && (unsigned)k1 < (unsigned)n ); dst[i] = src[k0]; dst[i+1] = src[k1]; } if( i < n ) dst[n-1] = src[n-1]; } else { for( i = 0; i <= n - 2; i += 2, itab += 2*tab_step ) { int k0 = itab[0], k1 = itab[tab_step]; assert( (unsigned)k0 < (unsigned)n && (unsigned)k1 < (unsigned)n ); t.re = src[k0].re; t.im = -src[k0].im; dst[i] = t; t.re = src[k1].re; t.im = -src[k1].im; dst[i+1] = t; } if( i < n ) { t.re = src[n-1].re; t.im = -src[n-1].im; dst[i] = t; } } } else { if( (flags & DFT_NO_PERMUTE) == 0 ) { CV_Assert( factors[0] == factors[nf-1] ); if( nf == 1 ) { if( (n & 3) == 0 ) { int n2 = n/2; Complex* dsth = dst + n2; for( i = 0; i < n2; i += 2, itab += tab_step*2 ) { j = itab[0]; assert( (unsigned)j < (unsigned)n2 ); CV_SWAP(dst[i+1], dsth[j], t); if( j > i ) { CV_SWAP(dst[i], dst[j], t); CV_SWAP(dsth[i+1], dsth[j+1], t); } } } // else do nothing } else { for( i = 0; i < n; i++, itab += tab_step ) { j = itab[0]; assert( (unsigned)j < (unsigned)n ); if( j > i ) CV_SWAP(dst[i], dst[j], t); } } } if( inv ) { for( i = 0; i <= n - 2; i += 2 ) { T t0 = -dst[i].im; T t1 = -dst[i+1].im; dst[i].im = t0; dst[i+1].im = t1; } if( i < n ) dst[n-1].im = -dst[n-1].im; } } n = 1; // 1. power-2 transforms if( (factors[0] & 1) == 0 ) { if( factors[0] >= 4 && checkHardwareSupport(CV_CPU_SSE3)) { DFT_VecR4 vr4; n = vr4(dst, factors[0], n0, dw0, wave); } // radix-4 transform for( ; n*4 <= factors[0]; ) { nx = n; n *= 4; dw0 /= 4; for( i = 0; i < n0; i += n ) { Complex *v0, *v1; T r0, i0, r1, i1, r2, i2, r3, i3, r4, i4; v0 = dst + i; v1 = v0 + nx*2; r0 = v1[0].re; i0 = v1[0].im; r4 = v1[nx].re; i4 = v1[nx].im; r1 = r0 + r4; i1 = i0 + i4; r3 = i0 - i4; i3 = r4 - r0; r2 = v0[0].re; i2 = v0[0].im; r4 = v0[nx].re; i4 = v0[nx].im; r0 = r2 + r4; i0 = i2 + i4; r2 -= r4; i2 -= i4; v0[0].re = r0 + r1; v0[0].im = i0 + i1; v1[0].re = r0 - r1; v1[0].im = i0 - i1; v0[nx].re = r2 + r3; v0[nx].im = i2 + i3; v1[nx].re = r2 - r3; v1[nx].im = i2 - i3; for( j = 1, dw = dw0; j < nx; j++, dw += dw0 ) { v0 = dst + i + j; v1 = v0 + nx*2; r2 = v0[nx].re*wave[dw*2].re - v0[nx].im*wave[dw*2].im; i2 = v0[nx].re*wave[dw*2].im + v0[nx].im*wave[dw*2].re; r0 = v1[0].re*wave[dw].im + v1[0].im*wave[dw].re; i0 = v1[0].re*wave[dw].re - v1[0].im*wave[dw].im; r3 = v1[nx].re*wave[dw*3].im + v1[nx].im*wave[dw*3].re; i3 = v1[nx].re*wave[dw*3].re - v1[nx].im*wave[dw*3].im; r1 = i0 + i3; i1 = r0 + r3; r3 = r0 - r3; i3 = i3 - i0; r4 = v0[0].re; i4 = v0[0].im; r0 = r4 + r2; i0 = i4 + i2; r2 = r4 - r2; i2 = i4 - i2; v0[0].re = r0 + r1; v0[0].im = i0 + i1; v1[0].re = r0 - r1; v1[0].im = i0 - i1; v0[nx].re = r2 + r3; v0[nx].im = i2 + i3; v1[nx].re = r2 - r3; v1[nx].im = i2 - i3; } } } for( ; n < factors[0]; ) { // do the remaining radix-2 transform nx = n; n *= 2; dw0 /= 2; for( i = 0; i < n0; i += n ) { Complex* v = dst + i; T r0 = v[0].re + v[nx].re; T i0 = v[0].im + v[nx].im; T r1 = v[0].re - v[nx].re; T i1 = v[0].im - v[nx].im; v[0].re = r0; v[0].im = i0; v[nx].re = r1; v[nx].im = i1; for( j = 1, dw = dw0; j < nx; j++, dw += dw0 ) { v = dst + i + j; r1 = v[nx].re*wave[dw].re - v[nx].im*wave[dw].im; i1 = v[nx].im*wave[dw].re + v[nx].re*wave[dw].im; r0 = v[0].re; i0 = v[0].im; v[0].re = r0 + r1; v[0].im = i0 + i1; v[nx].re = r0 - r1; v[nx].im = i0 - i1; } } } } // 2. all the other transforms for( f_idx = (factors[0]&1) ? 0 : 1; f_idx < nf; f_idx++ ) { int factor = factors[f_idx]; nx = n; n *= factor; dw0 /= factor; if( factor == 3 ) { // radix-3 for( i = 0; i < n0; i += n ) { Complex* v = dst + i; T r1 = v[nx].re + v[nx*2].re; T i1 = v[nx].im + v[nx*2].im; T r0 = v[0].re; T i0 = v[0].im; T r2 = sin_120*(v[nx].im - v[nx*2].im); T i2 = sin_120*(v[nx*2].re - v[nx].re); v[0].re = r0 + r1; v[0].im = i0 + i1; r0 -= (T)0.5*r1; i0 -= (T)0.5*i1; v[nx].re = r0 + r2; v[nx].im = i0 + i2; v[nx*2].re = r0 - r2; v[nx*2].im = i0 - i2; for( j = 1, dw = dw0; j < nx; j++, dw += dw0 ) { v = dst + i + j; r0 = v[nx].re*wave[dw].re - v[nx].im*wave[dw].im; i0 = v[nx].re*wave[dw].im + v[nx].im*wave[dw].re; i2 = v[nx*2].re*wave[dw*2].re - v[nx*2].im*wave[dw*2].im; r2 = v[nx*2].re*wave[dw*2].im + v[nx*2].im*wave[dw*2].re; r1 = r0 + i2; i1 = i0 + r2; r2 = sin_120*(i0 - r2); i2 = sin_120*(i2 - r0); r0 = v[0].re; i0 = v[0].im; v[0].re = r0 + r1; v[0].im = i0 + i1; r0 -= (T)0.5*r1; i0 -= (T)0.5*i1; v[nx].re = r0 + r2; v[nx].im = i0 + i2; v[nx*2].re = r0 - r2; v[nx*2].im = i0 - i2; } } } else if( factor == 5 ) { // radix-5 for( i = 0; i < n0; i += n ) { for( j = 0, dw = 0; j < nx; j++, dw += dw0 ) { Complex* v0 = dst + i + j; Complex* v1 = v0 + nx*2; Complex* v2 = v1 + nx*2; T r0, i0, r1, i1, r2, i2, r3, i3, r4, i4, r5, i5; r3 = v0[nx].re*wave[dw].re - v0[nx].im*wave[dw].im; i3 = v0[nx].re*wave[dw].im + v0[nx].im*wave[dw].re; r2 = v2[0].re*wave[dw*4].re - v2[0].im*wave[dw*4].im; i2 = v2[0].re*wave[dw*4].im + v2[0].im*wave[dw*4].re; r1 = r3 + r2; i1 = i3 + i2; r3 -= r2; i3 -= i2; r4 = v1[nx].re*wave[dw*3].re - v1[nx].im*wave[dw*3].im; i4 = v1[nx].re*wave[dw*3].im + v1[nx].im*wave[dw*3].re; r0 = v1[0].re*wave[dw*2].re - v1[0].im*wave[dw*2].im; i0 = v1[0].re*wave[dw*2].im + v1[0].im*wave[dw*2].re; r2 = r4 + r0; i2 = i4 + i0; r4 -= r0; i4 -= i0; r0 = v0[0].re; i0 = v0[0].im; r5 = r1 + r2; i5 = i1 + i2; v0[0].re = r0 + r5; v0[0].im = i0 + i5; r0 -= (T)0.25*r5; i0 -= (T)0.25*i5; r1 = fft5_2*(r1 - r2); i1 = fft5_2*(i1 - i2); r2 = -fft5_3*(i3 + i4); i2 = fft5_3*(r3 + r4); i3 *= -fft5_5; r3 *= fft5_5; i4 *= -fft5_4; r4 *= fft5_4; r5 = r2 + i3; i5 = i2 + r3; r2 -= i4; i2 -= r4; r3 = r0 + r1; i3 = i0 + i1; r0 -= r1; i0 -= i1; v0[nx].re = r3 + r2; v0[nx].im = i3 + i2; v2[0].re = r3 - r2; v2[0].im = i3 - i2; v1[0].re = r0 + r5; v1[0].im = i0 + i5; v1[nx].re = r0 - r5; v1[nx].im = i0 - i5; } } } else { // radix-"factor" - an odd number int p, q, factor2 = (factor - 1)/2; int d, dd, dw_f = tab_size/factor; Complex* a = buf; Complex* b = buf + factor2; for( i = 0; i < n0; i += n ) { for( j = 0, dw = 0; j < nx; j++, dw += dw0 ) { Complex* v = dst + i + j; Complex v_0 = v[0]; Complex vn_0 = v_0; if( j == 0 ) { for( p = 1, k = nx; p <= factor2; p++, k += nx ) { T r0 = v[k].re + v[n-k].re; T i0 = v[k].im - v[n-k].im; T r1 = v[k].re - v[n-k].re; T i1 = v[k].im + v[n-k].im; vn_0.re += r0; vn_0.im += i1; a[p-1].re = r0; a[p-1].im = i0; b[p-1].re = r1; b[p-1].im = i1; } } else { const Complex* wave_ = wave + dw*factor; d = dw; for( p = 1, k = nx; p <= factor2; p++, k += nx, d += dw ) { T r2 = v[k].re*wave[d].re - v[k].im*wave[d].im; T i2 = v[k].re*wave[d].im + v[k].im*wave[d].re; T r1 = v[n-k].re*wave_[-d].re - v[n-k].im*wave_[-d].im; T i1 = v[n-k].re*wave_[-d].im + v[n-k].im*wave_[-d].re; T r0 = r2 + r1; T i0 = i2 - i1; r1 = r2 - r1; i1 = i2 + i1; vn_0.re += r0; vn_0.im += i1; a[p-1].re = r0; a[p-1].im = i0; b[p-1].re = r1; b[p-1].im = i1; } } v[0] = vn_0; for( p = 1, k = nx; p <= factor2; p++, k += nx ) { Complex s0 = v_0, s1 = v_0; d = dd = dw_f*p; for( q = 0; q < factor2; q++ ) { T r0 = wave[d].re * a[q].re; T i0 = wave[d].im * a[q].im; T r1 = wave[d].re * b[q].im; T i1 = wave[d].im * b[q].re; s1.re += r0 + i0; s0.re += r0 - i0; s1.im += r1 - i1; s0.im += r1 + i1; d += dd; d -= -(d >= tab_size) & tab_size; } v[k] = s0; v[n-k] = s1; } } } } } if( scale != 1 ) { T re_scale = scale, im_scale = scale; if( inv ) im_scale = -im_scale; for( i = 0; i < n0; i++ ) { T t0 = dst[i].re*re_scale; T t1 = dst[i].im*im_scale; dst[i].re = t0; dst[i].im = t1; } } else if( inv ) { for( i = 0; i <= n0 - 2; i += 2 ) { T t0 = -dst[i].im; T t1 = -dst[i+1].im; dst[i].im = t0; dst[i+1].im = t1; } if( i < n0 ) dst[n0-1].im = -dst[n0-1].im; } } /* FFT of real vector output vector format: re(0), re(1), im(1), ... , re(n/2-1), im((n+1)/2-1) [, re((n+1)/2)] OR ... re(0), 0, re(1), im(1), ..., re(n/2-1), im((n+1)/2-1) [, re((n+1)/2), 0] */ template static void RealDFT( const T* src, T* dst, int n, int nf, int* factors, const int* itab, const Complex* wave, int tab_size, const void* #ifdef USE_IPP_DFT spec #endif , Complex* buf, int flags, double _scale ) { int complex_output = (flags & DFT_COMPLEX_INPUT_OR_OUTPUT) != 0; T scale = (T)_scale; int j, n2 = n >> 1; dst += complex_output; #ifdef USE_IPP_DFT if( spec ) { ippsDFTFwd_RToPack( src, dst, spec, (uchar*)buf ); if( complex_output ) { dst[-1] = dst[0]; dst[0] = 0; if( (n & 1) == 0 ) dst[n] = 0; } return; } #endif assert( tab_size == n ); if( n == 1 ) { dst[0] = src[0]*scale; } else if( n == 2 ) { T t = (src[0] + src[1])*scale; dst[1] = (src[0] - src[1])*scale; dst[0] = t; } else if( n & 1 ) { dst -= complex_output; Complex* _dst = (Complex*)dst; _dst[0].re = src[0]*scale; _dst[0].im = 0; for( j = 1; j < n; j += 2 ) { T t0 = src[itab[j]]*scale; T t1 = src[itab[j+1]]*scale; _dst[j].re = t0; _dst[j].im = 0; _dst[j+1].re = t1; _dst[j+1].im = 0; } DFT( _dst, _dst, n, nf, factors, itab, wave, tab_size, 0, buf, DFT_NO_PERMUTE, 1 ); if( !complex_output ) dst[1] = dst[0]; } else { T t0, t; T h1_re, h1_im, h2_re, h2_im; T scale2 = scale*(T)0.5; factors[0] >>= 1; DFT( (Complex*)src, (Complex*)dst, n2, nf - (factors[0] == 1), factors + (factors[0] == 1), itab, wave, tab_size, 0, buf, 0, 1 ); factors[0] <<= 1; t = dst[0] - dst[1]; dst[0] = (dst[0] + dst[1])*scale; dst[1] = t*scale; t0 = dst[n2]; t = dst[n-1]; dst[n-1] = dst[1]; for( j = 2, wave++; j < n2; j += 2, wave++ ) { /* calc odd */ h2_re = scale2*(dst[j+1] + t); h2_im = scale2*(dst[n-j] - dst[j]); /* calc even */ h1_re = scale2*(dst[j] + dst[n-j]); h1_im = scale2*(dst[j+1] - t); /* rotate */ t = h2_re*wave->re - h2_im*wave->im; h2_im = h2_re*wave->im + h2_im*wave->re; h2_re = t; t = dst[n-j-1]; dst[j-1] = h1_re + h2_re; dst[n-j-1] = h1_re - h2_re; dst[j] = h1_im + h2_im; dst[n-j] = h2_im - h1_im; } if( j <= n2 ) { dst[n2-1] = t0*scale; dst[n2] = -t*scale; } } if( complex_output && (n & 1) == 0 ) { dst[-1] = dst[0]; dst[0] = 0; dst[n] = 0; } } /* Inverse FFT of complex conjugate-symmetric vector input vector format: re[0], re[1], im[1], ... , re[n/2-1], im[n/2-1], re[n/2] OR re(0), 0, re(1), im(1), ..., re(n/2-1), im((n+1)/2-1) [, re((n+1)/2), 0] */ template static void CCSIDFT( const T* src, T* dst, int n, int nf, int* factors, const int* itab, const Complex* wave, int tab_size, const void* #ifdef USE_IPP_DFT spec #endif , Complex* buf, int flags, double _scale ) { int complex_input = (flags & DFT_COMPLEX_INPUT_OR_OUTPUT) != 0; int j, k, n2 = (n+1) >> 1; T scale = (T)_scale; T save_s1 = 0.; T t0, t1, t2, t3, t; assert( tab_size == n ); if( complex_input ) { assert( src != dst ); save_s1 = src[1]; ((T*)src)[1] = src[0]; src++; } #ifdef USE_IPP_DFT if( spec ) { ippsDFTInv_PackToR( src, dst, spec, (uchar*)buf ); goto finalize; } #endif if( n == 1 ) { dst[0] = (T)(src[0]*scale); } else if( n == 2 ) { t = (src[0] + src[1])*scale; dst[1] = (src[0] - src[1])*scale; dst[0] = t; } else if( n & 1 ) { Complex* _src = (Complex*)(src-1); Complex* _dst = (Complex*)dst; _dst[0].re = src[0]; _dst[0].im = 0; for( j = 1; j < n2; j++ ) { int k0 = itab[j], k1 = itab[n-j]; t0 = _src[j].re; t1 = _src[j].im; _dst[k0].re = t0; _dst[k0].im = -t1; _dst[k1].re = t0; _dst[k1].im = t1; } DFT( _dst, _dst, n, nf, factors, itab, wave, tab_size, 0, buf, DFT_NO_PERMUTE, 1. ); dst[0] *= scale; for( j = 1; j < n; j += 2 ) { t0 = dst[j*2]*scale; t1 = dst[j*2+2]*scale; dst[j] = t0; dst[j+1] = t1; } } else { int inplace = src == dst; const Complex* w = wave; t = src[1]; t0 = (src[0] + src[n-1]); t1 = (src[n-1] - src[0]); dst[0] = t0; dst[1] = t1; for( j = 2, w++; j < n2; j += 2, w++ ) { T h1_re, h1_im, h2_re, h2_im; h1_re = (t + src[n-j-1]); h1_im = (src[j] - src[n-j]); h2_re = (t - src[n-j-1]); h2_im = (src[j] + src[n-j]); t = h2_re*w->re + h2_im*w->im; h2_im = h2_im*w->re - h2_re*w->im; h2_re = t; t = src[j+1]; t0 = h1_re - h2_im; t1 = -h1_im - h2_re; t2 = h1_re + h2_im; t3 = h1_im - h2_re; if( inplace ) { dst[j] = t0; dst[j+1] = t1; dst[n-j] = t2; dst[n-j+1]= t3; } else { int j2 = j >> 1; k = itab[j2]; dst[k] = t0; dst[k+1] = t1; k = itab[n2-j2]; dst[k] = t2; dst[k+1]= t3; } } if( j <= n2 ) { t0 = t*2; t1 = src[n2]*2; if( inplace ) { dst[n2] = t0; dst[n2+1] = t1; } else { k = itab[n2]; dst[k*2] = t0; dst[k*2+1] = t1; } } factors[0] >>= 1; DFT( (Complex*)dst, (Complex*)dst, n2, nf - (factors[0] == 1), factors + (factors[0] == 1), itab, wave, tab_size, 0, buf, inplace ? 0 : DFT_NO_PERMUTE, 1. ); factors[0] <<= 1; for( j = 0; j < n; j += 2 ) { t0 = dst[j]*scale; t1 = dst[j+1]*(-scale); dst[j] = t0; dst[j+1] = t1; } } #ifdef USE_IPP_DFT finalize: #endif if( complex_input ) ((T*)src)[0] = (T)save_s1; } static void CopyColumn( const uchar* _src, size_t src_step, uchar* _dst, size_t dst_step, int len, size_t elem_size ) { int i, t0, t1; const int* src = (const int*)_src; int* dst = (int*)_dst; src_step /= sizeof(src[0]); dst_step /= sizeof(dst[0]); if( elem_size == sizeof(int) ) { for( i = 0; i < len; i++, src += src_step, dst += dst_step ) dst[0] = src[0]; } else if( elem_size == sizeof(int)*2 ) { for( i = 0; i < len; i++, src += src_step, dst += dst_step ) { t0 = src[0]; t1 = src[1]; dst[0] = t0; dst[1] = t1; } } else if( elem_size == sizeof(int)*4 ) { for( i = 0; i < len; i++, src += src_step, dst += dst_step ) { t0 = src[0]; t1 = src[1]; dst[0] = t0; dst[1] = t1; t0 = src[2]; t1 = src[3]; dst[2] = t0; dst[3] = t1; } } } static void CopyFrom2Columns( const uchar* _src, size_t src_step, uchar* _dst0, uchar* _dst1, int len, size_t elem_size ) { int i, t0, t1; const int* src = (const int*)_src; int* dst0 = (int*)_dst0; int* dst1 = (int*)_dst1; src_step /= sizeof(src[0]); if( elem_size == sizeof(int) ) { for( i = 0; i < len; i++, src += src_step ) { t0 = src[0]; t1 = src[1]; dst0[i] = t0; dst1[i] = t1; } } else if( elem_size == sizeof(int)*2 ) { for( i = 0; i < len*2; i += 2, src += src_step ) { t0 = src[0]; t1 = src[1]; dst0[i] = t0; dst0[i+1] = t1; t0 = src[2]; t1 = src[3]; dst1[i] = t0; dst1[i+1] = t1; } } else if( elem_size == sizeof(int)*4 ) { for( i = 0; i < len*4; i += 4, src += src_step ) { t0 = src[0]; t1 = src[1]; dst0[i] = t0; dst0[i+1] = t1; t0 = src[2]; t1 = src[3]; dst0[i+2] = t0; dst0[i+3] = t1; t0 = src[4]; t1 = src[5]; dst1[i] = t0; dst1[i+1] = t1; t0 = src[6]; t1 = src[7]; dst1[i+2] = t0; dst1[i+3] = t1; } } } static void CopyTo2Columns( const uchar* _src0, const uchar* _src1, uchar* _dst, size_t dst_step, int len, size_t elem_size ) { int i, t0, t1; const int* src0 = (const int*)_src0; const int* src1 = (const int*)_src1; int* dst = (int*)_dst; dst_step /= sizeof(dst[0]); if( elem_size == sizeof(int) ) { for( i = 0; i < len; i++, dst += dst_step ) { t0 = src0[i]; t1 = src1[i]; dst[0] = t0; dst[1] = t1; } } else if( elem_size == sizeof(int)*2 ) { for( i = 0; i < len*2; i += 2, dst += dst_step ) { t0 = src0[i]; t1 = src0[i+1]; dst[0] = t0; dst[1] = t1; t0 = src1[i]; t1 = src1[i+1]; dst[2] = t0; dst[3] = t1; } } else if( elem_size == sizeof(int)*4 ) { for( i = 0; i < len*4; i += 4, dst += dst_step ) { t0 = src0[i]; t1 = src0[i+1]; dst[0] = t0; dst[1] = t1; t0 = src0[i+2]; t1 = src0[i+3]; dst[2] = t0; dst[3] = t1; t0 = src1[i]; t1 = src1[i+1]; dst[4] = t0; dst[5] = t1; t0 = src1[i+2]; t1 = src1[i+3]; dst[6] = t0; dst[7] = t1; } } } static void ExpandCCS( uchar* _ptr, int n, int elem_size ) { int i; if( elem_size == (int)sizeof(float) ) { float* p = (float*)_ptr; for( i = 1; i < (n+1)/2; i++ ) { p[(n-i)*2] = p[i*2-1]; p[(n-i)*2+1] = -p[i*2]; } if( (n & 1) == 0 ) { p[n] = p[n-1]; p[n+1] = 0.f; n--; } for( i = n-1; i > 0; i-- ) p[i+1] = p[i]; p[1] = 0.f; } else { double* p = (double*)_ptr; for( i = 1; i < (n+1)/2; i++ ) { p[(n-i)*2] = p[i*2-1]; p[(n-i)*2+1] = -p[i*2]; } if( (n & 1) == 0 ) { p[n] = p[n-1]; p[n+1] = 0.f; n--; } for( i = n-1; i > 0; i-- ) p[i+1] = p[i]; p[1] = 0.f; } } typedef void (*DFTFunc)( const void* src, void* dst, int n, int nf, int* factors, const int* itab, const void* wave, int tab_size, const void* spec, void* buf, int inv, double scale ); static void DFT_32f( const Complexf* src, Complexf* dst, int n, int nf, const int* factors, const int* itab, const Complexf* wave, int tab_size, const void* spec, Complexf* buf, int flags, double scale ) { DFT(src, dst, n, nf, factors, itab, wave, tab_size, spec, buf, flags, scale); } static void DFT_64f( const Complexd* src, Complexd* dst, int n, int nf, const int* factors, const int* itab, const Complexd* wave, int tab_size, const void* spec, Complexd* buf, int flags, double scale ) { DFT(src, dst, n, nf, factors, itab, wave, tab_size, spec, buf, flags, scale); } static void RealDFT_32f( const float* src, float* dst, int n, int nf, int* factors, const int* itab, const Complexf* wave, int tab_size, const void* spec, Complexf* buf, int flags, double scale ) { RealDFT( src, dst, n, nf, factors, itab, wave, tab_size, spec, buf, flags, scale); } static void RealDFT_64f( const double* src, double* dst, int n, int nf, int* factors, const int* itab, const Complexd* wave, int tab_size, const void* spec, Complexd* buf, int flags, double scale ) { RealDFT( src, dst, n, nf, factors, itab, wave, tab_size, spec, buf, flags, scale); } static void CCSIDFT_32f( const float* src, float* dst, int n, int nf, int* factors, const int* itab, const Complexf* wave, int tab_size, const void* spec, Complexf* buf, int flags, double scale ) { CCSIDFT( src, dst, n, nf, factors, itab, wave, tab_size, spec, buf, flags, scale); } static void CCSIDFT_64f( const double* src, double* dst, int n, int nf, int* factors, const int* itab, const Complexd* wave, int tab_size, const void* spec, Complexd* buf, int flags, double scale ) { CCSIDFT( src, dst, n, nf, factors, itab, wave, tab_size, spec, buf, flags, scale); } } #ifdef USE_IPP_DFT typedef IppStatus (CV_STDCALL* IppDFTGetSizeFunc)(int, int, IppHintAlgorithm, int*, int*, int*); typedef IppStatus (CV_STDCALL* IppDFTInitFunc)(int, int, IppHintAlgorithm, void*, uchar*); #endif #ifdef HAVE_CLAMDFFT namespace cv { #define CLAMDDFT_Assert(func) \ { \ clAmdFftStatus s = (func); \ CV_Assert(s == CLFFT_SUCCESS); \ } enum FftType { R2R = 0, // real to real C2R = 1, // opencl HERMITIAN_INTERLEAVED to real R2C = 2, // real to opencl HERMITIAN_INTERLEAVED C2C = 3 // complex to complex }; class PlanCache { struct FftPlan { FftPlan(const Size & _dft_size, int _src_step, int _dst_step, bool _doubleFP, bool _inplace, int _flags, FftType _fftType) : dft_size(_dft_size), src_step(_src_step), dst_step(_dst_step), doubleFP(_doubleFP), inplace(_inplace), flags(_flags), fftType(_fftType), plHandle(0) { bool dft_inverse = (flags & DFT_INVERSE) != 0; bool dft_scale = (flags & DFT_SCALE) != 0; bool dft_rows = (flags & DFT_ROWS) != 0; clAmdFftLayout inLayout = CLFFT_REAL, outLayout = CLFFT_REAL; clAmdFftDim dim = dft_size.height == 1 || dft_rows ? CLFFT_1D : CLFFT_2D; size_t batchSize = dft_rows ? dft_size.height : 1; size_t clLengthsIn[3] = { dft_size.width, dft_rows ? 1 : dft_size.height, 1 }; size_t clStridesIn[3] = { 1, 1, 1 }; size_t clStridesOut[3] = { 1, 1, 1 }; int elemSize = doubleFP ? sizeof(double) : sizeof(float); switch (fftType) { case C2C: inLayout = CLFFT_COMPLEX_INTERLEAVED; outLayout = CLFFT_COMPLEX_INTERLEAVED; clStridesIn[1] = src_step / (elemSize << 1); clStridesOut[1] = dst_step / (elemSize << 1); break; case R2C: inLayout = CLFFT_REAL; outLayout = CLFFT_HERMITIAN_INTERLEAVED; clStridesIn[1] = src_step / elemSize; clStridesOut[1] = dst_step / (elemSize << 1); break; case C2R: inLayout = CLFFT_HERMITIAN_INTERLEAVED; outLayout = CLFFT_REAL; clStridesIn[1] = src_step / (elemSize << 1); clStridesOut[1] = dst_step / elemSize; break; case R2R: default: CV_Error(Error::StsNotImplemented, "AMD Fft does not support this type"); break; } clStridesIn[2] = dft_rows ? clStridesIn[1] : dft_size.width * clStridesIn[1]; clStridesOut[2] = dft_rows ? clStridesOut[1] : dft_size.width * clStridesOut[1]; // TODO remove all plans if context changed CLAMDDFT_Assert(clAmdFftCreateDefaultPlan(&plHandle, (cl_context)ocl::Context2::getDefault().ptr(), dim, clLengthsIn)) // setting plan properties CLAMDDFT_Assert(clAmdFftSetPlanPrecision(plHandle, doubleFP ? CLFFT_DOUBLE : CLFFT_SINGLE)); CLAMDDFT_Assert(clAmdFftSetResultLocation(plHandle, inplace ? CLFFT_INPLACE : CLFFT_OUTOFPLACE)) CLAMDDFT_Assert(clAmdFftSetLayout(plHandle, inLayout, outLayout)) CLAMDDFT_Assert(clAmdFftSetPlanBatchSize(plHandle, batchSize)) CLAMDDFT_Assert(clAmdFftSetPlanInStride(plHandle, dim, clStridesIn)) CLAMDDFT_Assert(clAmdFftSetPlanOutStride(plHandle, dim, clStridesOut)) CLAMDDFT_Assert(clAmdFftSetPlanDistance(plHandle, clStridesIn[dim], clStridesOut[dim])) float scale = dft_scale ? 1.0f / (dft_rows ? dft_size.width : dft_size.area()) : 1.0f; CLAMDDFT_Assert(clAmdFftSetPlanScale(plHandle, dft_inverse ? CLFFT_BACKWARD : CLFFT_FORWARD, scale)) // ready to bake cl_command_queue commandQueue = (cl_command_queue)ocl::Queue::getDefault().ptr(); CLAMDDFT_Assert(clAmdFftBakePlan(plHandle, 1, &commandQueue, NULL, NULL)) } ~FftPlan() { // clAmdFftDestroyPlan(&plHandle); } friend class PlanCache; private: Size dft_size; int src_step, dst_step; bool doubleFP; bool inplace; int flags; FftType fftType; cl_context context; clAmdFftPlanHandle plHandle; }; public: static PlanCache & getInstance() { static PlanCache planCache; return planCache; } clAmdFftPlanHandle getPlanHandle(const Size & dft_size, int src_step, int dst_step, bool doubleFP, bool inplace, int flags, FftType fftType) { cl_context currentContext = (cl_context)ocl::Context2::getDefault().ptr(); for (size_t i = 0, size = planStorage.size(); i < size; i ++) { const FftPlan * const plan = planStorage[i]; if (plan->dft_size == dft_size && plan->flags == flags && plan->src_step == src_step && plan->dst_step == dst_step && plan->doubleFP == doubleFP && plan->fftType == fftType && plan->inplace == inplace) { if (plan->context != currentContext) { planStorage.erase(planStorage.begin() + i); break; } return plan->plHandle; } } // no baked plan is found, so let's create a new one FftPlan * newPlan = new FftPlan(dft_size, src_step, dst_step, doubleFP, inplace, flags, fftType); planStorage.push_back(newPlan); return newPlan->plHandle; } ~PlanCache() { for (std::vector::iterator i = planStorage.begin(), end = planStorage.end(); i != end; ++i) delete (*i); planStorage.clear(); } protected: PlanCache() : planStorage() { } std::vector planStorage; }; extern "C" { static void CL_CALLBACK oclCleanupCallback(cl_event e, cl_int, void *p) { UMatData * u = (UMatData *)p; if( u && CV_XADD(&u->urefcount, -1) == 1 ) u->currAllocator->deallocate(u); u = 0; clReleaseEvent(e), e = 0; } } static bool ocl_dft(InputArray _src, OutputArray _dst, int flags) { int type = _src.type(), depth = CV_MAT_DEPTH(type), cn = CV_MAT_CN(type); Size ssize = _src.size(); bool doubleSupport = ocl::Device::getDefault().doubleFPConfig() > 0; if ( (!doubleSupport && depth == CV_64F) || !(type == CV_32FC1 || type == CV_32FC2 || type == CV_64FC1 || type == CV_64FC2) || _src.offset() != 0) return false; // if is not a multiplication of prime numbers { 2, 3, 5 } if (ssize.area() != getOptimalDFTSize(ssize.area())) return false; int dst_complex_input = cn == 2 ? 1 : 0; bool dft_inverse = (flags & DFT_INVERSE) != 0 ? 1 : 0; int dft_complex_output = (flags & DFT_COMPLEX_OUTPUT) != 0; bool dft_real_output = (flags & DFT_REAL_OUTPUT) != 0; CV_Assert(dft_complex_output + dft_real_output < 2); FftType fftType = (FftType)(dst_complex_input << 0 | dft_complex_output << 1); switch (fftType) { case C2C: _dst.create(ssize.height, ssize.width, CV_MAKE_TYPE(depth, 2)); break; case R2C: // TODO implement it if possible case C2R: // TODO implement it if possible case R2R: // AMD Fft does not support this type default: return false; } UMat src = _src.getUMat(), dst = _dst.getUMat(); bool inplace = src.u == dst.u; clAmdFftPlanHandle plHandle = PlanCache::getInstance(). getPlanHandle(ssize, (int)src.step, (int)dst.step, depth == CV_64F, inplace, flags, fftType); // get the bufferSize size_t bufferSize = 0; CLAMDDFT_Assert(clAmdFftGetTmpBufSize(plHandle, &bufferSize)) UMat tmpBuffer(1, (int)bufferSize, CV_8UC1); cl_mem srcarg = (cl_mem)src.handle(ACCESS_READ); cl_mem dstarg = (cl_mem)dst.handle(ACCESS_RW); cl_command_queue commandQueue = (cl_command_queue)ocl::Queue::getDefault().ptr(); cl_event e = 0; CLAMDDFT_Assert(clAmdFftEnqueueTransform(plHandle, dft_inverse ? CLFFT_BACKWARD : CLFFT_FORWARD, 1, &commandQueue, 0, NULL, &e, &srcarg, &dstarg, (cl_mem)tmpBuffer.handle(ACCESS_RW))) tmpBuffer.addref(); clSetEventCallback(e, CL_COMPLETE, oclCleanupCallback, tmpBuffer.u); return true; } #undef DFT_ASSERT } #endif // HAVE_CLAMDFFT void cv::dft( InputArray _src0, OutputArray _dst, int flags, int nonzero_rows ) { #ifdef HAVE_CLAMDFFT if (ocl::useOpenCL() && ocl::haveAmdFft() && _dst.isUMat() && _src0.dims() <= 2 && nonzero_rows == 0 && ocl_dft(_src0, _dst, flags)) return; #endif static DFTFunc dft_tbl[6] = { (DFTFunc)DFT_32f, (DFTFunc)RealDFT_32f, (DFTFunc)CCSIDFT_32f, (DFTFunc)DFT_64f, (DFTFunc)RealDFT_64f, (DFTFunc)CCSIDFT_64f }; AutoBuffer buf; void *spec = 0; Mat src0 = _src0.getMat(), src = src0; int prev_len = 0, stage = 0; bool inv = (flags & DFT_INVERSE) != 0; int nf = 0, real_transform = src.channels() == 1 || (inv && (flags & DFT_REAL_OUTPUT)!=0); int type = src.type(), depth = src.depth(); int elem_size = (int)src.elemSize1(), complex_elem_size = elem_size*2; int factors[34]; bool inplace_transform = false; #ifdef USE_IPP_DFT AutoBuffer ippbuf; int ipp_norm_flag = !(flags & DFT_SCALE) ? 8 : inv ? 2 : 1; #endif CV_Assert( type == CV_32FC1 || type == CV_32FC2 || type == CV_64FC1 || type == CV_64FC2 ); if( !inv && src.channels() == 1 && (flags & DFT_COMPLEX_OUTPUT) ) _dst.create( src.size(), CV_MAKETYPE(depth, 2) ); else if( inv && src.channels() == 2 && (flags & DFT_REAL_OUTPUT) ) _dst.create( src.size(), depth ); else _dst.create( src.size(), type ); Mat dst = _dst.getMat(); if( !real_transform ) elem_size = complex_elem_size; if( src.cols == 1 && nonzero_rows > 0 ) CV_Error( CV_StsNotImplemented, "This mode (using nonzero_rows with a single-column matrix) breaks the function's logic, so it is prohibited.\n" "For fast convolution/correlation use 2-column matrix or single-row matrix instead" ); // determine, which transform to do first - row-wise // (stage 0) or column-wise (stage 1) transform if( !(flags & DFT_ROWS) && src.rows > 1 && ((src.cols == 1 && (!src.isContinuous() || !dst.isContinuous())) || (src.cols > 1 && inv && real_transform)) ) stage = 1; for(;;) { double scale = 1; uchar* wave = 0; int* itab = 0; uchar* ptr; int i, len, count, sz = 0; int use_buf = 0, odd_real = 0; DFTFunc dft_func; if( stage == 0 ) // row-wise transform { len = !inv ? src.cols : dst.cols; count = src.rows; if( len == 1 && !(flags & DFT_ROWS) ) { len = !inv ? src.rows : dst.rows; count = 1; } odd_real = real_transform && (len & 1); } else { len = dst.rows; count = !inv ? src0.cols : dst.cols; sz = 2*len*complex_elem_size; } spec = 0; #ifdef USE_IPP_DFT if( len*count >= 64 ) // use IPP DFT if available { int specsize=0, initsize=0, worksize=0; IppDFTGetSizeFunc getSizeFunc = 0; IppDFTInitFunc initFunc = 0; if( real_transform && stage == 0 ) { if( depth == CV_32F ) { getSizeFunc = ippsDFTGetSize_R_32f; initFunc = (IppDFTInitFunc)ippsDFTInit_R_32f; } else { getSizeFunc = ippsDFTGetSize_R_64f; initFunc = (IppDFTInitFunc)ippsDFTInit_R_64f; } } else { if( depth == CV_32F ) { getSizeFunc = ippsDFTGetSize_C_32fc; initFunc = (IppDFTInitFunc)ippsDFTInit_C_32fc; } else { getSizeFunc = ippsDFTGetSize_C_64fc; initFunc = (IppDFTInitFunc)ippsDFTInit_C_64fc; } } if( getSizeFunc(len, ipp_norm_flag, ippAlgHintNone, &specsize, &initsize, &worksize) >= 0 ) { ippbuf.allocate(specsize + initsize + 64); spec = alignPtr(&ippbuf[0], 32); uchar* initbuf = alignPtr((uchar*)spec + specsize, 32); if( initFunc(len, ipp_norm_flag, ippAlgHintNone, spec, initbuf) < 0 ) spec = 0; sz += worksize; } } else #endif { if( len != prev_len ) nf = DFTFactorize( len, factors ); inplace_transform = factors[0] == factors[nf-1]; sz += len*(complex_elem_size + sizeof(int)); i = nf > 1 && (factors[0] & 1) == 0; if( (factors[i] & 1) != 0 && factors[i] > 5 ) sz += (factors[i]+1)*complex_elem_size; if( (stage == 0 && ((src.data == dst.data && !inplace_transform) || odd_real)) || (stage == 1 && !inplace_transform) ) { use_buf = 1; sz += len*complex_elem_size; } } ptr = (uchar*)buf; buf.allocate( sz + 32 ); if( ptr != (uchar*)buf ) prev_len = 0; // because we release the buffer, // force recalculation of // twiddle factors and permutation table ptr = (uchar*)buf; if( !spec ) { wave = ptr; ptr += len*complex_elem_size; itab = (int*)ptr; ptr = (uchar*)cvAlignPtr( ptr + len*sizeof(int), 16 ); if( len != prev_len || (!inplace_transform && inv && real_transform)) DFTInit( len, nf, factors, itab, complex_elem_size, wave, stage == 0 && inv && real_transform ); // otherwise reuse the tables calculated on the previous stage } if( stage == 0 ) { uchar* tmp_buf = 0; int dptr_offset = 0; int dst_full_len = len*elem_size; int _flags = (int)inv + (src.channels() != dst.channels() ? DFT_COMPLEX_INPUT_OR_OUTPUT : 0); if( use_buf ) { tmp_buf = ptr; ptr += len*complex_elem_size; if( odd_real && !inv && len > 1 && !(_flags & DFT_COMPLEX_INPUT_OR_OUTPUT)) dptr_offset = elem_size; } if( !inv && (_flags & DFT_COMPLEX_INPUT_OR_OUTPUT) ) dst_full_len += (len & 1) ? elem_size : complex_elem_size; dft_func = dft_tbl[(!real_transform ? 0 : !inv ? 1 : 2) + (depth == CV_64F)*3]; if( count > 1 && !(flags & DFT_ROWS) && (!inv || !real_transform) ) stage = 1; else if( flags & CV_DXT_SCALE ) scale = 1./(len * (flags & DFT_ROWS ? 1 : count)); if( nonzero_rows <= 0 || nonzero_rows > count ) nonzero_rows = count; for( i = 0; i < nonzero_rows; i++ ) { uchar* sptr = src.data + i*src.step; uchar* dptr0 = dst.data + i*dst.step; uchar* dptr = dptr0; if( tmp_buf ) dptr = tmp_buf; dft_func( sptr, dptr, len, nf, factors, itab, wave, len, spec, ptr, _flags, scale ); if( dptr != dptr0 ) memcpy( dptr0, dptr + dptr_offset, dst_full_len ); } for( ; i < count; i++ ) { uchar* dptr0 = dst.data + i*dst.step; memset( dptr0, 0, dst_full_len ); } if( stage != 1 ) break; src = dst; } else { int a = 0, b = count; uchar *buf0, *buf1, *dbuf0, *dbuf1; uchar* sptr0 = src.data; uchar* dptr0 = dst.data; buf0 = ptr; ptr += len*complex_elem_size; buf1 = ptr; ptr += len*complex_elem_size; dbuf0 = buf0, dbuf1 = buf1; if( use_buf ) { dbuf1 = ptr; dbuf0 = buf1; ptr += len*complex_elem_size; } dft_func = dft_tbl[(depth == CV_64F)*3]; if( real_transform && inv && src.cols > 1 ) stage = 0; else if( flags & CV_DXT_SCALE ) scale = 1./(len * count); if( real_transform ) { int even; a = 1; even = (count & 1) == 0; b = (count+1)/2; if( !inv ) { memset( buf0, 0, len*complex_elem_size ); CopyColumn( sptr0, src.step, buf0, complex_elem_size, len, elem_size ); sptr0 += dst.channels()*elem_size; if( even ) { memset( buf1, 0, len*complex_elem_size ); CopyColumn( sptr0 + (count-2)*elem_size, src.step, buf1, complex_elem_size, len, elem_size ); } } else if( src.channels() == 1 ) { CopyColumn( sptr0, src.step, buf0, elem_size, len, elem_size ); ExpandCCS( buf0, len, elem_size ); if( even ) { CopyColumn( sptr0 + (count-1)*elem_size, src.step, buf1, elem_size, len, elem_size ); ExpandCCS( buf1, len, elem_size ); } sptr0 += elem_size; } else { CopyColumn( sptr0, src.step, buf0, complex_elem_size, len, complex_elem_size ); if( even ) { CopyColumn( sptr0 + b*complex_elem_size, src.step, buf1, complex_elem_size, len, complex_elem_size ); } sptr0 += complex_elem_size; } if( even ) dft_func( buf1, dbuf1, len, nf, factors, itab, wave, len, spec, ptr, inv, scale ); dft_func( buf0, dbuf0, len, nf, factors, itab, wave, len, spec, ptr, inv, scale ); if( dst.channels() == 1 ) { if( !inv ) { // copy the half of output vector to the first/last column. // before doing that, defgragment the vector memcpy( dbuf0 + elem_size, dbuf0, elem_size ); CopyColumn( dbuf0 + elem_size, elem_size, dptr0, dst.step, len, elem_size ); if( even ) { memcpy( dbuf1 + elem_size, dbuf1, elem_size ); CopyColumn( dbuf1 + elem_size, elem_size, dptr0 + (count-1)*elem_size, dst.step, len, elem_size ); } dptr0 += elem_size; } else { // copy the real part of the complex vector to the first/last column CopyColumn( dbuf0, complex_elem_size, dptr0, dst.step, len, elem_size ); if( even ) CopyColumn( dbuf1, complex_elem_size, dptr0 + (count-1)*elem_size, dst.step, len, elem_size ); dptr0 += elem_size; } } else { assert( !inv ); CopyColumn( dbuf0, complex_elem_size, dptr0, dst.step, len, complex_elem_size ); if( even ) CopyColumn( dbuf1, complex_elem_size, dptr0 + b*complex_elem_size, dst.step, len, complex_elem_size ); dptr0 += complex_elem_size; } } for( i = a; i < b; i += 2 ) { if( i+1 < b ) { CopyFrom2Columns( sptr0, src.step, buf0, buf1, len, complex_elem_size ); dft_func( buf1, dbuf1, len, nf, factors, itab, wave, len, spec, ptr, inv, scale ); } else CopyColumn( sptr0, src.step, buf0, complex_elem_size, len, complex_elem_size ); dft_func( buf0, dbuf0, len, nf, factors, itab, wave, len, spec, ptr, inv, scale ); if( i+1 < b ) CopyTo2Columns( dbuf0, dbuf1, dptr0, dst.step, len, complex_elem_size ); else CopyColumn( dbuf0, complex_elem_size, dptr0, dst.step, len, complex_elem_size ); sptr0 += 2*complex_elem_size; dptr0 += 2*complex_elem_size; } if( stage != 0 ) { if( !inv && real_transform && dst.channels() == 2 && len > 1 ) { int n = dst.cols; if( elem_size == (int)sizeof(float) ) { float* p0 = (float*)dst.data; size_t dstep = dst.step/sizeof(p0[0]); for( i = 0; i < len; i++ ) { float* p = p0 + dstep*i; float* q = i == 0 || i*2 == len ? p : p0 + dstep*(len-i); for( int j = 1; j < (n+1)/2; j++ ) { p[(n-j)*2] = q[j*2]; p[(n-j)*2+1] = -q[j*2+1]; } } } else { double* p0 = (double*)dst.data; size_t dstep = dst.step/sizeof(p0[0]); for( i = 0; i < len; i++ ) { double* p = p0 + dstep*i; double* q = i == 0 || i*2 == len ? p : p0 + dstep*(len-i); for( int j = 1; j < (n+1)/2; j++ ) { p[(n-j)*2] = q[j*2]; p[(n-j)*2+1] = -q[j*2+1]; } } } } break; } src = dst; } } } void cv::idft( InputArray src, OutputArray dst, int flags, int nonzero_rows ) { dft( src, dst, flags | DFT_INVERSE, nonzero_rows ); } namespace cv { static bool ocl_mulSpectrums( InputArray _srcA, InputArray _srcB, OutputArray _dst, int flags, bool conjB ) { int atype = _srcA.type(), btype = _srcB.type(); Size asize = _srcA.size(), bsize = _srcB.size(); CV_Assert(asize == bsize); if ( !(atype == CV_32FC2 && btype == CV_32FC2) || flags != 0 ) return false; UMat A = _srcA.getUMat(), B = _srcB.getUMat(); CV_Assert(A.size() == B.size()); _dst.create(A.size(), atype); UMat dst = _dst.getUMat(); ocl::Kernel k("mulAndScaleSpectrums", ocl::core::mulspectrums_oclsrc, format("%s", conjB ? "-D CONJ" : "")); if (k.empty()) return false; k.args(ocl::KernelArg::ReadOnlyNoSize(A), ocl::KernelArg::ReadOnlyNoSize(B), ocl::KernelArg::WriteOnly(dst)); size_t globalsize[2] = { asize.width, asize.height }; return k.run(2, globalsize, NULL, false); } } void cv::mulSpectrums( InputArray _srcA, InputArray _srcB, OutputArray _dst, int flags, bool conjB ) { if (ocl::useOpenCL() && _dst.isUMat() && ocl_mulSpectrums(_srcA, _srcB, _dst, flags, conjB)) return; Mat srcA = _srcA.getMat(), srcB = _srcB.getMat(); int depth = srcA.depth(), cn = srcA.channels(), type = srcA.type(); int rows = srcA.rows, cols = srcA.cols; int j, k; CV_Assert( type == srcB.type() && srcA.size() == srcB.size() ); CV_Assert( type == CV_32FC1 || type == CV_32FC2 || type == CV_64FC1 || type == CV_64FC2 ); _dst.create( srcA.rows, srcA.cols, type ); Mat dst = _dst.getMat(); bool is_1d = (flags & DFT_ROWS) || (rows == 1 || (cols == 1 && srcA.isContinuous() && srcB.isContinuous() && dst.isContinuous())); if( is_1d && !(flags & DFT_ROWS) ) cols = cols + rows - 1, rows = 1; int ncols = cols*cn; int j0 = cn == 1; int j1 = ncols - (cols % 2 == 0 && cn == 1); if( depth == CV_32F ) { const float* dataA = (const float*)srcA.data; const float* dataB = (const float*)srcB.data; float* dataC = (float*)dst.data; size_t stepA = srcA.step/sizeof(dataA[0]); size_t stepB = srcB.step/sizeof(dataB[0]); size_t stepC = dst.step/sizeof(dataC[0]); if( !is_1d && cn == 1 ) { for( k = 0; k < (cols % 2 ? 1 : 2); k++ ) { if( k == 1 ) dataA += cols - 1, dataB += cols - 1, dataC += cols - 1; dataC[0] = dataA[0]*dataB[0]; if( rows % 2 == 0 ) dataC[(rows-1)*stepC] = dataA[(rows-1)*stepA]*dataB[(rows-1)*stepB]; if( !conjB ) for( j = 1; j <= rows - 2; j += 2 ) { double re = (double)dataA[j*stepA]*dataB[j*stepB] - (double)dataA[(j+1)*stepA]*dataB[(j+1)*stepB]; double im = (double)dataA[j*stepA]*dataB[(j+1)*stepB] + (double)dataA[(j+1)*stepA]*dataB[j*stepB]; dataC[j*stepC] = (float)re; dataC[(j+1)*stepC] = (float)im; } else for( j = 1; j <= rows - 2; j += 2 ) { double re = (double)dataA[j*stepA]*dataB[j*stepB] + (double)dataA[(j+1)*stepA]*dataB[(j+1)*stepB]; double im = (double)dataA[(j+1)*stepA]*dataB[j*stepB] - (double)dataA[j*stepA]*dataB[(j+1)*stepB]; dataC[j*stepC] = (float)re; dataC[(j+1)*stepC] = (float)im; } if( k == 1 ) dataA -= cols - 1, dataB -= cols - 1, dataC -= cols - 1; } } for( ; rows--; dataA += stepA, dataB += stepB, dataC += stepC ) { if( is_1d && cn == 1 ) { dataC[0] = dataA[0]*dataB[0]; if( cols % 2 == 0 ) dataC[j1] = dataA[j1]*dataB[j1]; } if( !conjB ) for( j = j0; j < j1; j += 2 ) { double re = (double)dataA[j]*dataB[j] - (double)dataA[j+1]*dataB[j+1]; double im = (double)dataA[j+1]*dataB[j] + (double)dataA[j]*dataB[j+1]; dataC[j] = (float)re; dataC[j+1] = (float)im; } else for( j = j0; j < j1; j += 2 ) { double re = (double)dataA[j]*dataB[j] + (double)dataA[j+1]*dataB[j+1]; double im = (double)dataA[j+1]*dataB[j] - (double)dataA[j]*dataB[j+1]; dataC[j] = (float)re; dataC[j+1] = (float)im; } } } else { const double* dataA = (const double*)srcA.data; const double* dataB = (const double*)srcB.data; double* dataC = (double*)dst.data; size_t stepA = srcA.step/sizeof(dataA[0]); size_t stepB = srcB.step/sizeof(dataB[0]); size_t stepC = dst.step/sizeof(dataC[0]); if( !is_1d && cn == 1 ) { for( k = 0; k < (cols % 2 ? 1 : 2); k++ ) { if( k == 1 ) dataA += cols - 1, dataB += cols - 1, dataC += cols - 1; dataC[0] = dataA[0]*dataB[0]; if( rows % 2 == 0 ) dataC[(rows-1)*stepC] = dataA[(rows-1)*stepA]*dataB[(rows-1)*stepB]; if( !conjB ) for( j = 1; j <= rows - 2; j += 2 ) { double re = dataA[j*stepA]*dataB[j*stepB] - dataA[(j+1)*stepA]*dataB[(j+1)*stepB]; double im = dataA[j*stepA]*dataB[(j+1)*stepB] + dataA[(j+1)*stepA]*dataB[j*stepB]; dataC[j*stepC] = re; dataC[(j+1)*stepC] = im; } else for( j = 1; j <= rows - 2; j += 2 ) { double re = dataA[j*stepA]*dataB[j*stepB] + dataA[(j+1)*stepA]*dataB[(j+1)*stepB]; double im = dataA[(j+1)*stepA]*dataB[j*stepB] - dataA[j*stepA]*dataB[(j+1)*stepB]; dataC[j*stepC] = re; dataC[(j+1)*stepC] = im; } if( k == 1 ) dataA -= cols - 1, dataB -= cols - 1, dataC -= cols - 1; } } for( ; rows--; dataA += stepA, dataB += stepB, dataC += stepC ) { if( is_1d && cn == 1 ) { dataC[0] = dataA[0]*dataB[0]; if( cols % 2 == 0 ) dataC[j1] = dataA[j1]*dataB[j1]; } if( !conjB ) for( j = j0; j < j1; j += 2 ) { double re = dataA[j]*dataB[j] - dataA[j+1]*dataB[j+1]; double im = dataA[j+1]*dataB[j] + dataA[j]*dataB[j+1]; dataC[j] = re; dataC[j+1] = im; } else for( j = j0; j < j1; j += 2 ) { double re = dataA[j]*dataB[j] + dataA[j+1]*dataB[j+1]; double im = dataA[j+1]*dataB[j] - dataA[j]*dataB[j+1]; dataC[j] = re; dataC[j+1] = im; } } } } /****************************************************************************************\ Discrete Cosine Transform \****************************************************************************************/ namespace cv { /* DCT is calculated using DFT, as described here: http://www.ece.utexas.edu/~bevans/courses/ee381k/lectures/09_DCT/lecture9/: */ template static void DCT( const T* src, int src_step, T* dft_src, T* dft_dst, T* dst, int dst_step, int n, int nf, int* factors, const int* itab, const Complex* dft_wave, const Complex* dct_wave, const void* spec, Complex* buf ) { static const T sin_45 = (T)0.70710678118654752440084436210485; int j, n2 = n >> 1; src_step /= sizeof(src[0]); dst_step /= sizeof(dst[0]); T* dst1 = dst + (n-1)*dst_step; if( n == 1 ) { dst[0] = src[0]; return; } for( j = 0; j < n2; j++, src += src_step*2 ) { dft_src[j] = src[0]; dft_src[n-j-1] = src[src_step]; } RealDFT( dft_src, dft_dst, n, nf, factors, itab, dft_wave, n, spec, buf, 0, 1.0 ); src = dft_dst; dst[0] = (T)(src[0]*dct_wave->re*sin_45); dst += dst_step; for( j = 1, dct_wave++; j < n2; j++, dct_wave++, dst += dst_step, dst1 -= dst_step ) { T t0 = dct_wave->re*src[j*2-1] - dct_wave->im*src[j*2]; T t1 = -dct_wave->im*src[j*2-1] - dct_wave->re*src[j*2]; dst[0] = t0; dst1[0] = t1; } dst[0] = src[n-1]*dct_wave->re; } template static void IDCT( const T* src, int src_step, T* dft_src, T* dft_dst, T* dst, int dst_step, int n, int nf, int* factors, const int* itab, const Complex* dft_wave, const Complex* dct_wave, const void* spec, Complex* buf ) { static const T sin_45 = (T)0.70710678118654752440084436210485; int j, n2 = n >> 1; src_step /= sizeof(src[0]); dst_step /= sizeof(dst[0]); const T* src1 = src + (n-1)*src_step; if( n == 1 ) { dst[0] = src[0]; return; } dft_src[0] = (T)(src[0]*2*dct_wave->re*sin_45); src += src_step; for( j = 1, dct_wave++; j < n2; j++, dct_wave++, src += src_step, src1 -= src_step ) { T t0 = dct_wave->re*src[0] - dct_wave->im*src1[0]; T t1 = -dct_wave->im*src[0] - dct_wave->re*src1[0]; dft_src[j*2-1] = t0; dft_src[j*2] = t1; } dft_src[n-1] = (T)(src[0]*2*dct_wave->re); CCSIDFT( dft_src, dft_dst, n, nf, factors, itab, dft_wave, n, spec, buf, 0, 1.0 ); for( j = 0; j < n2; j++, dst += dst_step*2 ) { dst[0] = dft_dst[j]; dst[dst_step] = dft_dst[n-j-1]; } } static void DCTInit( int n, int elem_size, void* _wave, int inv ) { static const double DctScale[] = { 0.707106781186547570, 0.500000000000000000, 0.353553390593273790, 0.250000000000000000, 0.176776695296636890, 0.125000000000000000, 0.088388347648318447, 0.062500000000000000, 0.044194173824159223, 0.031250000000000000, 0.022097086912079612, 0.015625000000000000, 0.011048543456039806, 0.007812500000000000, 0.005524271728019903, 0.003906250000000000, 0.002762135864009952, 0.001953125000000000, 0.001381067932004976, 0.000976562500000000, 0.000690533966002488, 0.000488281250000000, 0.000345266983001244, 0.000244140625000000, 0.000172633491500622, 0.000122070312500000, 0.000086316745750311, 0.000061035156250000, 0.000043158372875155, 0.000030517578125000 }; int i; Complex w, w1; double t, scale; if( n == 1 ) return; assert( (n&1) == 0 ); if( (n & (n - 1)) == 0 ) { int m; for( m = 0; (unsigned)(1 << m) < (unsigned)n; m++ ) ; scale = (!inv ? 2 : 1)*DctScale[m]; w1.re = DFTTab[m+2][0]; w1.im = -DFTTab[m+2][1]; } else { t = 1./(2*n); scale = (!inv ? 2 : 1)*std::sqrt(t); w1.im = sin(-CV_PI*t); w1.re = std::sqrt(1. - w1.im*w1.im); } n >>= 1; if( elem_size == sizeof(Complex) ) { Complex* wave = (Complex*)_wave; w.re = scale; w.im = 0.; for( i = 0; i <= n; i++ ) { wave[i] = w; t = w.re*w1.re - w.im*w1.im; w.im = w.re*w1.im + w.im*w1.re; w.re = t; } } else { Complex* wave = (Complex*)_wave; assert( elem_size == sizeof(Complex) ); w.re = (float)scale; w.im = 0.f; for( i = 0; i <= n; i++ ) { wave[i].re = (float)w.re; wave[i].im = (float)w.im; t = w.re*w1.re - w.im*w1.im; w.im = w.re*w1.im + w.im*w1.re; w.re = t; } } } typedef void (*DCTFunc)(const void* src, int src_step, void* dft_src, void* dft_dst, void* dst, int dst_step, int n, int nf, int* factors, const int* itab, const void* dft_wave, const void* dct_wave, const void* spec, void* buf ); static void DCT_32f(const float* src, int src_step, float* dft_src, float* dft_dst, float* dst, int dst_step, int n, int nf, int* factors, const int* itab, const Complexf* dft_wave, const Complexf* dct_wave, const void* spec, Complexf* buf ) { DCT(src, src_step, dft_src, dft_dst, dst, dst_step, n, nf, factors, itab, dft_wave, dct_wave, spec, buf); } static void IDCT_32f(const float* src, int src_step, float* dft_src, float* dft_dst, float* dst, int dst_step, int n, int nf, int* factors, const int* itab, const Complexf* dft_wave, const Complexf* dct_wave, const void* spec, Complexf* buf ) { IDCT(src, src_step, dft_src, dft_dst, dst, dst_step, n, nf, factors, itab, dft_wave, dct_wave, spec, buf); } static void DCT_64f(const double* src, int src_step, double* dft_src, double* dft_dst, double* dst, int dst_step, int n, int nf, int* factors, const int* itab, const Complexd* dft_wave, const Complexd* dct_wave, const void* spec, Complexd* buf ) { DCT(src, src_step, dft_src, dft_dst, dst, dst_step, n, nf, factors, itab, dft_wave, dct_wave, spec, buf); } static void IDCT_64f(const double* src, int src_step, double* dft_src, double* dft_dst, double* dst, int dst_step, int n, int nf, int* factors, const int* itab, const Complexd* dft_wave, const Complexd* dct_wave, const void* spec, Complexd* buf ) { IDCT(src, src_step, dft_src, dft_dst, dst, dst_step, n, nf, factors, itab, dft_wave, dct_wave, spec, buf); } } void cv::dct( InputArray _src0, OutputArray _dst, int flags ) { static DCTFunc dct_tbl[4] = { (DCTFunc)DCT_32f, (DCTFunc)IDCT_32f, (DCTFunc)DCT_64f, (DCTFunc)IDCT_64f }; bool inv = (flags & DCT_INVERSE) != 0; Mat src0 = _src0.getMat(), src = src0; int type = src.type(), depth = src.depth(); void /* *spec_dft = 0, */ *spec = 0; double scale = 1.; int prev_len = 0, nf = 0, stage, end_stage; uchar *src_dft_buf = 0, *dst_dft_buf = 0; uchar *dft_wave = 0, *dct_wave = 0; int* itab = 0; uchar* ptr = 0; int elem_size = (int)src.elemSize(), complex_elem_size = elem_size*2; int factors[34], inplace_transform; int i, len, count; AutoBuffer buf; CV_Assert( type == CV_32FC1 || type == CV_64FC1 ); _dst.create( src.rows, src.cols, type ); Mat dst = _dst.getMat(); DCTFunc dct_func = dct_tbl[(int)inv + (depth == CV_64F)*2]; if( (flags & DCT_ROWS) || src.rows == 1 || (src.cols == 1 && (src.isContinuous() && dst.isContinuous()))) { stage = end_stage = 0; } else { stage = src.cols == 1; end_stage = 1; } for( ; stage <= end_stage; stage++ ) { uchar *sptr = src.data, *dptr = dst.data; size_t sstep0, sstep1, dstep0, dstep1; if( stage == 0 ) { len = src.cols; count = src.rows; if( len == 1 && !(flags & DCT_ROWS) ) { len = src.rows; count = 1; } sstep0 = src.step; dstep0 = dst.step; sstep1 = dstep1 = elem_size; } else { len = dst.rows; count = dst.cols; sstep1 = src.step; dstep1 = dst.step; sstep0 = dstep0 = elem_size; } if( len != prev_len ) { int sz; if( len > 1 && (len & 1) ) CV_Error( CV_StsNotImplemented, "Odd-size DCT\'s are not implemented" ); sz = len*elem_size; sz += (len/2 + 1)*complex_elem_size; spec = 0; inplace_transform = 1; /*if( len*count >= 64 && DFTInitAlloc_R_32f_p ) { int ipp_sz = 0; if( depth == CV_32F ) { if( spec_dft ) IPPI_CALL( DFTFree_R_32f_p( spec_dft )); IPPI_CALL( DFTInitAlloc_R_32f_p( &spec_dft, len, 8, cvAlgHintNone )); IPPI_CALL( DFTGetBufSize_R_32f_p( spec_dft, &ipp_sz )); } else { if( spec_dft ) IPPI_CALL( DFTFree_R_64f_p( spec_dft )); IPPI_CALL( DFTInitAlloc_R_64f_p( &spec_dft, len, 8, cvAlgHintNone )); IPPI_CALL( DFTGetBufSize_R_64f_p( spec_dft, &ipp_sz )); } spec = spec_dft; sz += ipp_sz; } else*/ { sz += len*(complex_elem_size + sizeof(int)) + complex_elem_size; nf = DFTFactorize( len, factors ); inplace_transform = factors[0] == factors[nf-1]; i = nf > 1 && (factors[0] & 1) == 0; if( (factors[i] & 1) != 0 && factors[i] > 5 ) sz += (factors[i]+1)*complex_elem_size; if( !inplace_transform ) sz += len*elem_size; } buf.allocate( sz + 32 ); ptr = (uchar*)buf; if( !spec ) { dft_wave = ptr; ptr += len*complex_elem_size; itab = (int*)ptr; ptr = (uchar*)cvAlignPtr( ptr + len*sizeof(int), 16 ); DFTInit( len, nf, factors, itab, complex_elem_size, dft_wave, inv ); } dct_wave = ptr; ptr += (len/2 + 1)*complex_elem_size; src_dft_buf = dst_dft_buf = ptr; ptr += len*elem_size; if( !inplace_transform ) { dst_dft_buf = ptr; ptr += len*elem_size; } DCTInit( len, complex_elem_size, dct_wave, inv ); if( !inv ) scale += scale; prev_len = len; } // otherwise reuse the tables calculated on the previous stage for( i = 0; i < count; i++ ) { dct_func( sptr + i*sstep0, (int)sstep1, src_dft_buf, dst_dft_buf, dptr + i*dstep0, (int)dstep1, len, nf, factors, itab, dft_wave, dct_wave, spec, ptr ); } src = dst; } } void cv::idct( InputArray src, OutputArray dst, int flags ) { dct( src, dst, flags | DCT_INVERSE ); } namespace cv { static const int optimalDFTSizeTab[] = { 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60, 64, 72, 75, 80, 81, 90, 96, 100, 108, 120, 125, 128, 135, 144, 150, 160, 162, 180, 192, 200, 216, 225, 240, 243, 250, 256, 270, 288, 300, 320, 324, 360, 375, 384, 400, 405, 432, 450, 480, 486, 500, 512, 540, 576, 600, 625, 640, 648, 675, 720, 729, 750, 768, 800, 810, 864, 900, 960, 972, 1000, 1024, 1080, 1125, 1152, 1200, 1215, 1250, 1280, 1296, 1350, 1440, 1458, 1500, 1536, 1600, 1620, 1728, 1800, 1875, 1920, 1944, 2000, 2025, 2048, 2160, 2187, 2250, 2304, 2400, 2430, 2500, 2560, 2592, 2700, 2880, 2916, 3000, 3072, 3125, 3200, 3240, 3375, 3456, 3600, 3645, 3750, 3840, 3888, 4000, 4050, 4096, 4320, 4374, 4500, 4608, 4800, 4860, 5000, 5120, 5184, 5400, 5625, 5760, 5832, 6000, 6075, 6144, 6250, 6400, 6480, 6561, 6750, 6912, 7200, 7290, 7500, 7680, 7776, 8000, 8100, 8192, 8640, 8748, 9000, 9216, 9375, 9600, 9720, 10000, 10125, 10240, 10368, 10800, 10935, 11250, 11520, 11664, 12000, 12150, 12288, 12500, 12800, 12960, 13122, 13500, 13824, 14400, 14580, 15000, 15360, 15552, 15625, 16000, 16200, 16384, 16875, 17280, 17496, 18000, 18225, 18432, 18750, 19200, 19440, 19683, 20000, 20250, 20480, 20736, 21600, 21870, 22500, 23040, 23328, 24000, 24300, 24576, 25000, 25600, 25920, 26244, 27000, 27648, 28125, 28800, 29160, 30000, 30375, 30720, 31104, 31250, 32000, 32400, 32768, 32805, 33750, 34560, 34992, 36000, 36450, 36864, 37500, 38400, 38880, 39366, 40000, 40500, 40960, 41472, 43200, 43740, 45000, 46080, 46656, 46875, 48000, 48600, 49152, 50000, 50625, 51200, 51840, 52488, 54000, 54675, 55296, 56250, 57600, 58320, 59049, 60000, 60750, 61440, 62208, 62500, 64000, 64800, 65536, 65610, 67500, 69120, 69984, 72000, 72900, 73728, 75000, 76800, 77760, 78125, 78732, 80000, 81000, 81920, 82944, 84375, 86400, 87480, 90000, 91125, 92160, 93312, 93750, 96000, 97200, 98304, 98415, 100000, 101250, 102400, 103680, 104976, 108000, 109350, 110592, 112500, 115200, 116640, 118098, 120000, 121500, 122880, 124416, 125000, 128000, 129600, 131072, 131220, 135000, 138240, 139968, 140625, 144000, 145800, 147456, 150000, 151875, 153600, 155520, 156250, 157464, 160000, 162000, 163840, 164025, 165888, 168750, 172800, 174960, 177147, 180000, 182250, 184320, 186624, 187500, 192000, 194400, 196608, 196830, 200000, 202500, 204800, 207360, 209952, 216000, 218700, 221184, 225000, 230400, 233280, 234375, 236196, 240000, 243000, 245760, 248832, 250000, 253125, 256000, 259200, 262144, 262440, 270000, 273375, 276480, 279936, 281250, 288000, 291600, 294912, 295245, 300000, 303750, 307200, 311040, 312500, 314928, 320000, 324000, 327680, 328050, 331776, 337500, 345600, 349920, 354294, 360000, 364500, 368640, 373248, 375000, 384000, 388800, 390625, 393216, 393660, 400000, 405000, 409600, 414720, 419904, 421875, 432000, 437400, 442368, 450000, 455625, 460800, 466560, 468750, 472392, 480000, 486000, 491520, 492075, 497664, 500000, 506250, 512000, 518400, 524288, 524880, 531441, 540000, 546750, 552960, 559872, 562500, 576000, 583200, 589824, 590490, 600000, 607500, 614400, 622080, 625000, 629856, 640000, 648000, 655360, 656100, 663552, 675000, 691200, 699840, 703125, 708588, 720000, 729000, 737280, 746496, 750000, 759375, 768000, 777600, 781250, 786432, 787320, 800000, 810000, 819200, 820125, 829440, 839808, 843750, 864000, 874800, 884736, 885735, 900000, 911250, 921600, 933120, 937500, 944784, 960000, 972000, 983040, 984150, 995328, 1000000, 1012500, 1024000, 1036800, 1048576, 1049760, 1062882, 1080000, 1093500, 1105920, 1119744, 1125000, 1152000, 1166400, 1171875, 1179648, 1180980, 1200000, 1215000, 1228800, 1244160, 1250000, 1259712, 1265625, 1280000, 1296000, 1310720, 1312200, 1327104, 1350000, 1366875, 1382400, 1399680, 1406250, 1417176, 1440000, 1458000, 1474560, 1476225, 1492992, 1500000, 1518750, 1536000, 1555200, 1562500, 1572864, 1574640, 1594323, 1600000, 1620000, 1638400, 1640250, 1658880, 1679616, 1687500, 1728000, 1749600, 1769472, 1771470, 1800000, 1822500, 1843200, 1866240, 1875000, 1889568, 1920000, 1944000, 1953125, 1966080, 1968300, 1990656, 2000000, 2025000, 2048000, 2073600, 2097152, 2099520, 2109375, 2125764, 2160000, 2187000, 2211840, 2239488, 2250000, 2278125, 2304000, 2332800, 2343750, 2359296, 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2040733440, 2048000000, 2050312500, 2073600000, 2097152000, 2099520000, 2109375000, 2123366400, 2125764000 }; } int cv::getOptimalDFTSize( int size0 ) { int a = 0, b = sizeof(optimalDFTSizeTab)/sizeof(optimalDFTSizeTab[0]) - 1; if( (unsigned)size0 >= (unsigned)optimalDFTSizeTab[b] ) return -1; while( a < b ) { int c = (a + b) >> 1; if( size0 <= optimalDFTSizeTab[c] ) b = c; else a = c+1; } return optimalDFTSizeTab[b]; } CV_IMPL void cvDFT( const CvArr* srcarr, CvArr* dstarr, int flags, int nonzero_rows ) { cv::Mat src = cv::cvarrToMat(srcarr), dst0 = cv::cvarrToMat(dstarr), dst = dst0; int _flags = ((flags & CV_DXT_INVERSE) ? cv::DFT_INVERSE : 0) | ((flags & CV_DXT_SCALE) ? cv::DFT_SCALE : 0) | ((flags & CV_DXT_ROWS) ? cv::DFT_ROWS : 0); CV_Assert( src.size == dst.size ); if( src.type() != dst.type() ) { if( dst.channels() == 2 ) _flags |= cv::DFT_COMPLEX_OUTPUT; else _flags |= cv::DFT_REAL_OUTPUT; } cv::dft( src, dst, _flags, nonzero_rows ); CV_Assert( dst.data == dst0.data ); // otherwise it means that the destination size or type was incorrect } CV_IMPL void cvMulSpectrums( const CvArr* srcAarr, const CvArr* srcBarr, CvArr* dstarr, int flags ) { cv::Mat srcA = cv::cvarrToMat(srcAarr), srcB = cv::cvarrToMat(srcBarr), dst = cv::cvarrToMat(dstarr); CV_Assert( srcA.size == dst.size && srcA.type() == dst.type() ); cv::mulSpectrums(srcA, srcB, dst, (flags & CV_DXT_ROWS) ? cv::DFT_ROWS : 0, (flags & CV_DXT_MUL_CONJ) != 0 ); } CV_IMPL void cvDCT( const CvArr* srcarr, CvArr* dstarr, int flags ) { cv::Mat src = cv::cvarrToMat(srcarr), dst = cv::cvarrToMat(dstarr); CV_Assert( src.size == dst.size && src.type() == dst.type() ); int _flags = ((flags & CV_DXT_INVERSE) ? cv::DCT_INVERSE : 0) | ((flags & CV_DXT_ROWS) ? cv::DCT_ROWS : 0); cv::dct( src, dst, _flags ); } CV_IMPL int cvGetOptimalDFTSize( int size0 ) { return cv::getOptimalDFTSize(size0); } /* End of file. */