📄 cxdxt.cpp
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/*M///////////////////////////////////////////////////////////////////////////////////////
//
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// copy or use the software.
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//
// Intel License Agreement
// For Open Source Computer Vision Library
//
// Copyright (C) 2000, Intel Corporation, all rights reserved.
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// are permitted provided that the following conditions are met:
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// * Redistribution's of source code must retain the above copyright notice,
// this list of conditions and the following disclaimer.
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//M*/
#include "_cxcore.h"
// On Win64 (IA64) optimized versions of DFT and DCT fail the tests
#if defined WIN64 && !defined EM64T
#pragma optimize("", off)
#endif
icvDFTInitAlloc_C_32fc_t icvDFTInitAlloc_C_32fc_p = 0;
icvDFTFree_C_32fc_t icvDFTFree_C_32fc_p = 0;
icvDFTGetBufSize_C_32fc_t icvDFTGetBufSize_C_32fc_p = 0;
icvDFTFwd_CToC_32fc_t icvDFTFwd_CToC_32fc_p = 0;
icvDFTInv_CToC_32fc_t icvDFTInv_CToC_32fc_p = 0;
icvDFTInitAlloc_C_64fc_t icvDFTInitAlloc_C_64fc_p = 0;
icvDFTFree_C_64fc_t icvDFTFree_C_64fc_p = 0;
icvDFTGetBufSize_C_64fc_t icvDFTGetBufSize_C_64fc_p = 0;
icvDFTFwd_CToC_64fc_t icvDFTFwd_CToC_64fc_p = 0;
icvDFTInv_CToC_64fc_t icvDFTInv_CToC_64fc_p = 0;
icvDFTInitAlloc_R_32f_t icvDFTInitAlloc_R_32f_p = 0;
icvDFTFree_R_32f_t icvDFTFree_R_32f_p = 0;
icvDFTGetBufSize_R_32f_t icvDFTGetBufSize_R_32f_p = 0;
icvDFTFwd_RToPack_32f_t icvDFTFwd_RToPack_32f_p = 0;
icvDFTInv_PackToR_32f_t icvDFTInv_PackToR_32f_p = 0;
icvDFTInitAlloc_R_64f_t icvDFTInitAlloc_R_64f_p = 0;
icvDFTFree_R_64f_t icvDFTFree_R_64f_p = 0;
icvDFTGetBufSize_R_64f_t icvDFTGetBufSize_R_64f_p = 0;
icvDFTFwd_RToPack_64f_t icvDFTFwd_RToPack_64f_p = 0;
icvDFTInv_PackToR_64f_t icvDFTInv_PackToR_64f_p = 0;
/*icvDCTFwdInitAlloc_32f_t icvDCTFwdInitAlloc_32f_p = 0;
icvDCTFwdFree_32f_t icvDCTFwdFree_32f_p = 0;
icvDCTFwdGetBufSize_32f_t icvDCTFwdGetBufSize_32f_p = 0;
icvDCTFwd_32f_t icvDCTFwd_32f_p = 0;
icvDCTInvInitAlloc_32f_t icvDCTInvInitAlloc_32f_p = 0;
icvDCTInvFree_32f_t icvDCTInvFree_32f_p = 0;
icvDCTInvGetBufSize_32f_t icvDCTInvGetBufSize_32f_p = 0;
icvDCTInv_32f_t icvDCTInv_32f_p = 0;
icvDCTFwdInitAlloc_64f_t icvDCTFwdInitAlloc_64f_p = 0;
icvDCTFwdFree_64f_t icvDCTFwdFree_64f_p = 0;
icvDCTFwdGetBufSize_64f_t icvDCTFwdGetBufSize_64f_p = 0;
icvDCTFwd_64f_t icvDCTFwd_64f_p = 0;
icvDCTInvInitAlloc_64f_t icvDCTInvInitAlloc_64f_p = 0;
icvDCTInvFree_64f_t icvDCTInvFree_64f_p = 0;
icvDCTInvGetBufSize_64f_t icvDCTInvGetBufSize_64f_p = 0;
icvDCTInv_64f_t icvDCTInv_64f_p = 0;*/
/****************************************************************************************\
Discrete Fourier Transform
\****************************************************************************************/
#define CV_MAX_LOCAL_DFT_SIZE (1 << 15)
static const uchar log2tab[] = { 0, 0, 1, 0, 2, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0 };
static int icvlog2( int n )
{
int m = 0;
int f = (n >= (1 << 16))*16;
n >>= f;
m += f;
f = (n >= (1 << 8))*8;
n >>= f;
m += f;
f = (n >= (1 << 4))*4;
n >>= f;
return m + f + log2tab[n];
}
static unsigned char icvRevTable[] =
{
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 icvDxtTab[][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 icvBitRev(i,shift) \
((int)((((unsigned)icvRevTable[(i)&255] << 24)+ \
((unsigned)icvRevTable[((i)>> 8)&255] << 16)+ \
((unsigned)icvRevTable[((i)>>16)&255] << 8)+ \
((unsigned)icvRevTable[((i)>>24)])) >> (shift)))
static int
icvDFTFactorize( 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
icvDFTInit( 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;
CvComplex64f 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(CvComplex64f) )
((CvComplex64f*)_wave)[0] = CvComplex64f(1.,0.);
else
((CvComplex32f*)_wave)[0] = CvComplex32f(1.f,0.f);
}
if( n0 != 4 )
return;
m = 2;
}
else
{
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;
m = icvlog2(n);
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 = (icvRevTable[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 = icvBitRev(i4,shift)*a;
itab[i] = j;
itab[i+1] = j + na2;
itab[i+2] = j + na4;
itab[i+3] = j + na2 + na4;
}
}
digits[1]++;
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;
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