/*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.
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// * Redistribution's in binary form must reproduce the above copyright notice,
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// * The name of Intel Corporation may not be used to endorse or promote products
// derived from this software without specific prior written permission.
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// This software is provided by the copyright holders and contributors "as is" and
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// (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,
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//M*/
#include "_cxcore.h"
#ifdef HAVE_CONFIG_H
#include <cvconfig.h>
#endif
#define ICV_MATH_BLOCK_SIZE 256
#define _CV_SQRT_MAGIC 0xbe6f0000
#define _CV_SQRT_MAGIC_DBL CV_BIG_UINT(0xbfcd460000000000)
#define _CV_ATAN_CF0 (-15.8131890796f)
#define _CV_ATAN_CF1 (61.0941945596f)
#define _CV_ATAN_CF2 0.f /*(-0.140500406322f)*/
static const float icvAtanTab[8] = { 0.f + _CV_ATAN_CF2, 90.f - _CV_ATAN_CF2,
180.f - _CV_ATAN_CF2, 90.f + _CV_ATAN_CF2,
360.f - _CV_ATAN_CF2, 270.f + _CV_ATAN_CF2,
180.f + _CV_ATAN_CF2, 270.f - _CV_ATAN_CF2
};
static const int icvAtanSign[8] =
{ 0, 0x80000000, 0x80000000, 0, 0x80000000, 0, 0, 0x80000000 };
CV_IMPL float
cvFastArctan( float y, float x )
{
Cv32suf _x, _y;
int ix, iy, ygx, idx;
double z;
_x.f = x; _y.f = y;
ix = _x.i; iy = _y.i;
idx = (ix < 0) * 2 + (iy < 0) * 4;
ix &= 0x7fffffff;
iy &= 0x7fffffff;
ygx = (iy <= ix) - 1;
idx -= ygx;
idx &= ((ix == 0) - 1) | ((iy == 0) - 1);
/* swap ix and iy if ix < iy */
ix ^= iy & ygx;
iy ^= ix & ygx;
ix ^= iy & ygx;
_y.i = iy ^ icvAtanSign[idx];
/* ix = ix != 0 ? ix : 1.f */
_x.i = ((ix ^ CV_1F) & ((ix == 0) - 1)) ^ CV_1F;
z = _y.f / _x.f;
return (float)((_CV_ATAN_CF0*fabs(z) + _CV_ATAN_CF1)*z + icvAtanTab[idx]);
}
IPCVAPI_IMPL( CvStatus, icvFastArctan_32f,
(const float *__y, const float *__x, float *angle, int len ), (__y, __x, angle, len) )
{
int i = 0;
const int *y = (const int*)__y, *x = (const int*)__x;
if( !(y && x && angle && len >= 0) )
return CV_BADFACTOR_ERR;
/* unrolled by 4 loop */
for( ; i <= len - 4; i += 4 )
{
int j, idx[4];
float xf[4], yf[4];
double d = 1.;
/* calc numerators and denominators */
for( j = 0; j < 4; j++ )
{
int ix = x[i + j], iy = y[i + j];
int ygx, k = (ix < 0) * 2 + (iy < 0) * 4;
Cv32suf _x, _y;
ix &= 0x7fffffff;
iy &= 0x7fffffff;
ygx = (iy <= ix) - 1;
k -= ygx;
k &= ((ix == 0) - 1) | ((iy == 0) - 1);
/* swap ix and iy if ix < iy */
ix ^= iy & ygx;
iy ^= ix & ygx;
ix ^= iy & ygx;
_y.i = iy ^ icvAtanSign[k];
/* ix = ix != 0 ? ix : 1.f */
_x.i = ((ix ^ CV_1F) & ((ix == 0) - 1)) ^ CV_1F;
idx[j] = k;
yf[j] = _y.f;
d *= (xf[j] = _x.f);
}
d = 1. / d;
{
double b = xf[2] * xf[3], a = xf[0] * xf[1];
float z0 = (float) (yf[0] * xf[1] * b * d);
float z1 = (float) (yf[1] * xf[0] * b * d);
float z2 = (float) (yf[2] * xf[3] * a * d);
float z3 = (float) (yf[3] * xf[2] * a * d);
z0 = (float)((_CV_ATAN_CF0*fabs(z0) + _CV_ATAN_CF1)*z0 + icvAtanTab[idx[0]]);
z1 = (float)((_CV_ATAN_CF0*fabs(z1) + _CV_ATAN_CF1)*z1 + icvAtanTab[idx[1]]);
z2 = (float)((_CV_ATAN_CF0*fabs(z2) + _CV_ATAN_CF1)*z2 + icvAtanTab[idx[2]]);
z3 = (float)((_CV_ATAN_CF0*fabs(z3) + _CV_ATAN_CF1)*z3 + icvAtanTab[idx[3]]);
angle[i] = z0;
angle[i+1] = z1;
angle[i+2] = z2;
angle[i+3] = z3;
}
}
/* process the rest */
for( ; i < len; i++ )
angle[i] = cvFastArctan( __y[i], __x[i] );
return CV_OK;
}
/* ************************************************************************** *\
Fast cube root by Ken Turkowski
(http://www.worldserver.com/turk/computergraphics/papers.html)
\* ************************************************************************** */
CV_IMPL float cvCbrt( float value )
{
float fr;
Cv32suf v, m;
int ix, s;
int ex, shx;
v.f = value;
ix = v.i & 0x7fffffff;
s = v.i & 0x80000000;
ex = (ix >> 23) - 127;
shx = ex % 3;
shx -= shx >= 0 ? 3 : 0;
ex = (ex - shx) / 3; /* exponent of cube root */
v.i = (ix & ((1<<23)-1)) | ((shx + 127)<<23);
fr = v.f;
/* 0.125 <= fr < 1.0 */
/* Use quartic rational polynomial with error < 2^(-24) */
fr = (float)(((((45.2548339756803022511987494 * fr +
192.2798368355061050458134625) * fr +
119.1654824285581628956914143) * fr +
13.43250139086239872172837314) * fr +
0.1636161226585754240958355063)/
((((14.80884093219134573786480845 * fr +
151.9714051044435648658557668) * fr +
168.5254414101568283957668343) * fr +
33.9905941350215598754191872) * fr +
1.0));
/* fr *= 2^ex * sign */
m.f = value;
v.f = fr;
v.i = (v.i + (ex << 23) + s) & (m.i*2 != 0 ? -1 : 0);
return v.f;
}
//static const double _0_5 = 0.5, _1_5 = 1.5;
IPCVAPI_IMPL( CvStatus, icvInvSqrt_32f, (const float *src, float *dst, int len), (src, dst, len) )
{
int i = 0;
if( !(src && dst && len >= 0) )
return CV_BADFACTOR_ERR;
for( ; i < len; i++ )
dst[i] = (float)(1.f/sqrt(src[i]));
return CV_OK;
}
IPCVAPI_IMPL( CvStatus, icvSqrt_32f, (const float *src, float *dst, int len), (src, dst, len) )
{
int i = 0;
if( !(src && dst && len >= 0) )
return CV_BADFACTOR_ERR;
for( ; i < len; i++ )
dst[i] = (float)sqrt(src[i]);
return CV_OK;
}
IPCVAPI_IMPL( CvStatus, icvSqrt_64f, (const double *src, double *dst, int len), (src, dst, len) )
{
int i = 0;
if( !(src && dst && len >= 0) )
return CV_BADFACTOR_ERR;
for( ; i < len; i++ )
dst[i] = sqrt(src[i]);
return CV_OK;
}
IPCVAPI_IMPL( CvStatus, icvInvSqrt_64f, (const double *src, double *dst, int len), (src, dst, len) )
{
int i = 0;
if( !(src && dst && len >= 0) )
return CV_BADFACTOR_ERR;
for( ; i < len; i++ )
dst[i] = 1./sqrt(src[i]);
return CV_OK;
}
#define ICV_DEF_SQR_MAGNITUDE_FUNC(flavor, arrtype, magtype)\
static CvStatus CV_STDCALL \
icvSqrMagnitude_##flavor(const arrtype* x, const arrtype* y,\
magtype* mag, int len) \
{ \
int i; \
\
for( i = 0; i <= len - 4; i += 4 ) \
{ \
magtype x0 = (magtype)x[i], y0 = (magtype)y[i]; \
magtype x1 = (magtype)x[i+1], y1 = (magtype)y[i+1]; \
\
x0 = x0*x0 + y0*y0; \
x1 = x1*x1 + y1*y1; \
mag[i] = x0; \
mag[i+1] = x1; \
x0 = (magtype)x[i+2], y0 = (magtype)y[i+2]; \
x1 = (magtype)x[i+3], y1 = (magtype)y[i+3]; \
x0 = x0*x0 + y0*y0; \
x1 = x1*x1 + y1*y1; \
mag[i+2] = x0; \
mag[i+3] = x1; \
} \
\
for( ; i < len; i++ ) \
{ \
magtype x0 = (magtype)x[i], y0 = (magtype)y[i]; \
mag[i] = x0*x0 + y0*y0; \
} \
\
return CV_OK; \
}
ICV_DEF_SQR_MAGNITUDE_FUNC( 32f, float, float )
ICV_DEF_SQR_MAGNITUDE_FUNC( 64f, double, double )
/****************************************************************************************\
* Cartezian -> Polar *
\****************************************************************************************/
CV_IMPL void
cvCartToPolar( const CvArr* xarr, const CvArr* yarr,
CvArr* magarr, CvArr* anglearr,
int angle_in_degrees )
{
CV_FUNCNAME( "cvCartToPolar" );
__BEGIN__;
float* mag_buffer = 0;
float* x_buffer = 0;
float* y_buffer = 0;
int block_size = 0;
CvMat xstub, *xmat = (CvMat*)xarr;
CvMat ystub, *ymat = (CvMat*)yarr;
CvMat magstub, *mag = (CvMat*)magarr;
CvMat anglestub, *angle = (CvMat*)anglearr;
int coi1 = 0, coi2 = 0, coi3 = 0, coi4 = 0;
int depth;
CvSize size;
int x, y;
int cont_flag = CV_MAT_CONT_FLAG;
if( !CV_IS_MAT(xmat))
CV_CALL( xmat = cvGetMat( xmat, &xstub, &coi1 ));
if( !CV_IS_MAT(ymat))
CV_CALL( ymat = cvGetMat( ymat, &ystub, &coi2 ));
if( !CV_ARE_TYPES_EQ( xmat, ymat ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );
if( !CV_ARE_SIZES_EQ( xmat, ymat ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );
depth = CV_MAT_DEPTH( xmat->type );
if( depth < CV_32F )
CV_ERROR( CV_StsUnsupportedFormat, "" );
if( mag )
{
CV_CALL( mag = cvGetMat( mag, &magstub, &coi3 ));
if( !CV_ARE_TYPES_EQ( mag, xmat ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );
if( !CV_ARE_SIZES_EQ( mag, xmat ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );
cont_flag = mag->type;
}
if( angle )
{
CV_CALL( angle = cvGetMat( angle, &anglestub, &coi4 ));
if( !CV_ARE_TYPES_EQ( angle, xmat ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );
if( !CV_ARE_SIZES_EQ( angle, xmat ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );
cont_flag &= angle->type;
}
if( coi1 != 0 || coi2 != 0 || coi3 != 0 || coi4 != 0 )
CV_ERROR( CV_BadCOI, "" );
size = cvGetMatSize(xmat);
size.width *= CV_MAT_CN(xmat->type);
if( CV_IS_MAT_CONT( xmat->type & ymat->type & cont_flag ))
{
size.width *= size.height;
size.height = 1;
}
block_size = MIN( size.width, ICV_MATH_BLOCK_SIZE );
if( depth == CV_64F && angle )
{
x_buffer = (float*)cvStackAlloc( block_size*sizeof(float));
y_buffer = (float*)cvStackAlloc( block_size*sizeof(float));
}
else if( depth == CV_32F && mag )
{
mag_buffer = (float*)cvStackAlloc( block_size*sizeof(float));
}
if( depth == CV_32F )
{
for( y = 0; y < size.height; y++ )
{
float* x_data = (float*)(xmat->data.ptr + xmat->step*y);
float* y_data = (float*)(ymat->data.ptr + ymat->step*y);
float* mag_data = mag ? (float*)(mag->data.ptr + mag->step*y) : 0;
float* angle_data = angle ? (float*)(angle->data.ptr + angle->step*y) : 0;
for( x = 0; x < size.width; x += block_size )
{
int len = MIN( size.width - x, block_size );
if( mag )
icvSqrMagnitude_32f( x_data + x, y_data + x, mag_buffer, len );
if( angle )
{
icvFastArctan_32f( y_data + x, x_data + x, angle_data + x, len );
if( !angle_in_degrees )
icvScale_32f( angle_data + x, angle_data + x,
len, (float)(CV_PI/180.), 0 );
}
if( mag )
icvSqrt_32f( mag_buffer, mag_data + x, len );
}
}
}
else
{
for( y = 0; y < size.height; y++ )
{
double* x_data = (double*)(xmat->data.ptr + xmat->step*y);
double* y_data = (double*)(ymat->data.ptr + ymat->step*y);
double* mag_data = mag ? (double*)(mag->data.ptr + mag->step*y) : 0;
double* angle_data = angle ? (double*)(angle->data.ptr + angle->step*y) : 0;
for( x = 0; x < size.width; x += block_size )
{
int len = MIN( size.width - x, block_size );
if( angle )
{
icvCvt_64f32f( x_data + x, x_buffer, len );
icvCvt_64f32f( y_data + x, y_buffer, len );
}
if( mag )
{
icvSqrMagnitude_64f( x_data + x, y_data + x, mag_data + x, len );
icvSqrt_64f( mag_data + x, mag_data + x, len );
}
if( angle )
{
icvFastArctan_32f( y_buffer, x_buffer, x_buffer, len );
if( !angle_in_degrees )
icvScale_32f( x_buffer, x_buffer, len, (float)(CV_PI/180.), 0 );
icvCvt_32f64f( x_buffer, angle_data + x, len );
}
}
}
}
__END__;
}
/****************************************************************************************\
* Polar -> Cartezian *
\****************************************************************************************/
static CvStatus CV_STDCALL
icvSinCos_32f( const float *angle,float *sinval, float* cosval,
int len, int angle_in_degrees )
{
const int N = 64;
static const double sin_table[] =
{
0.00000000000000000000, 0.09801714032956060400,
0.19509032201612825000, 0.29028467725446233000,
0.38268343236508978000, 0.47139673682599764000,
0.55557023301960218000, 0.63439328416364549000,
0.70710678118654746000, 0.77301045336273699000,
0.83146961230254524000, 0.88192126434835494000,
0.92387953251128674000, 0.95694033573220894000,
0.98078528040323043000, 0.99518472667219682000,
1.00000000000000000000, 0.99518472667219693000,
0.98078528040323043000, 0.95694033573220894000,
0.92387953251128674000, 0.88192126434835505000,
0.83146961230254546000, 0.77301045336273710000,
0.70710678118654757000, 0.63439328416364549000,
0.55557023301960218000, 0.47139673682599786000,
0.38268343236508989000, 0.29028467725446239000,
0.19509032201612861000, 0.09801714032956082600,
0.00000000000000012246, -0.09801714032956059000,
-0.19509032201612836000, -0.29028467725446211000,
-0.38268343236508967000, -0.47139673682599764000,
-0.55557023301960196000, -0.63439328416364527000,
-0.70710678118654746000, -0.77301045336273666000,
-0.83146961230254524000, -0.88192126434835494000,
-0.92387953251128652000, -0.95694033573220882000,
-0.98078528040323032000, -0.99518472667219693000,
-1.00000000000000000000, -0.99518472667219693000,
-0.98078528040323043000, -0.95694033573220894000,
-0.92387953251128663000, -0.88192126434835505000,
-0.83146961230254546000, -0.77301045336273688000,
-0.70710678118654768000, -0.63439328416364593000,
-0.55557023301960218000, -0.47139673682599792000,
-0.38268343236509039000, -0.29028467725446250000,
-0.19509032201612872000, -0.09801714032956050600,
};
static const double k2 = (2*CV_PI)/N;
static const double sin_a0 = -0.166630293345647*k2*k2*k2;
static const double sin_a2 = k2;
static const double cos_a0 = -0.499818138450326*k2*k2;
/*static const double cos_a2 = 1;*/
double k1;
int i;
if( !angle_in_degrees )
k1 = N/(2*CV_PI);
else
k1 = N/360.;
for( i = 0; i < len; i++ )
{
double t = angle[i]*k1;
int it = cvRound(t);
t -= it;
int sin_idx = it & (N - 1);
int cos_idx = (N/4 - sin_idx) & (N - 1);
double sin_b = (sin_a0*t*t + sin_a2)*t;
double cos_b = cos_a0*t*t + 1;
double sin_a = sin_table[sin_idx];
double cos_a = sin_table[cos_idx];
double sin_val = sin_a*cos_b + cos_a*sin_b;
double cos_val = cos_a*cos_b - sin_a*sin_b;
sinval[i] = (float)sin_val;
cosval[i] = (float)cos_val;
}
return CV_OK;
}
CV_IMPL void
cvPolarToCart( const CvArr* magarr, const CvArr* anglearr,
CvArr* xarr, CvArr* yarr, int angle_in_degrees )
{
CV_FUNCNAME( "cvPolarToCart" );
__BEGIN__;
float* x_buffer = 0;
float* y_buffer = 0;
int block_size = 0;
CvMat xstub, *xmat = (CvMat*)xarr;
CvMat ystub, *ymat = (CvMat*)yarr;
CvMat magstub, *mag = (CvMat*)magarr;
CvMat anglestub, *angle = (CvMat*)anglearr;
int coi1 = 0, coi2 = 0, coi3 = 0, coi4 = 0;
int depth;
CvSize size;
int x, y;
int cont_flag;
if( !CV_IS_MAT(angle))
CV_CALL( angle = cvGetMat( angle, &anglestub, &coi4 ));
depth = CV_MAT_DEPTH( angle->type );
if( depth < CV_32F )
CV_ERROR( CV_StsUnsupportedFormat, "" );
cont_flag = angle->type;
if( mag )
{
if( !CV_IS_MAT(mag))
CV_CALL( mag = cvGetMat( mag, &magstub, &coi3 ));
if( !CV_ARE_TYPES_EQ( angle, mag ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );
if( !CV_ARE_SIZES_EQ( angle, mag ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );
cont_flag &= mag->type;
}
if( xmat )
{
if( !CV_IS_MAT(xmat))
CV_CALL( xmat = cvGetMat( xmat, &xstub, &coi1 ));
if( !CV_ARE_TYPES_EQ( angle, xmat ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );
if( !CV_ARE_SIZES_EQ( angle, xmat ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );
cont_flag &= xmat->type;
}
if( ymat )
{
if( !CV_IS_MAT(ymat))
CV_CALL( ymat = cvGetMat( ymat, &ystub, &coi2 ));
if( !CV_ARE_TYPES_EQ( angle, ymat ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );
if( !CV_ARE_SIZES_EQ( angle, ymat ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );
cont_flag &= ymat->type;
}
if( coi1 != 0 || coi2 != 0 || coi3 != 0 || coi4 != 0 )
CV_ERROR( CV_BadCOI, "" );
size = cvGetMatSize(angle);
size.width *= CV_MAT_CN(angle->type);
if( CV_IS_MAT_CONT( cont_flag ))
{
size.width *= size.height;
size.height = 1;
}
block_size = MIN( size.width, ICV_MATH_BLOCK_SIZE );
x_buffer = (float*)cvStackAlloc( block_size*sizeof(float));
y_buffer = (float*)cvStackAlloc( block_size*sizeof(float));
if( depth == CV_32F )
{
for( y = 0; y < size.height; y++ )
{
float* x_data = (float*)(xmat ? xmat->data.ptr + xmat->step*y : 0);
float* y_data = (float*)(ymat ? ymat->data.ptr + ymat->step*y : 0);
float* mag_data = (float*)(mag ? mag->data.ptr + mag->step*y : 0);
float* angle_data = (float*)(angle->data.ptr + angle->step*y);
for( x = 0; x < size.width; x += block_size )
{
int i, len = MIN( size.width - x, block_size );
icvSinCos_32f( angle_data+x, y_buffer, x_buffer, len, angle_in_degrees );
for( i = 0; i < len; i++ )
{
float tx = x_buffer[i];
float ty = y_buffer[i];
if( mag_data )
{
float magval = mag_data[x+i];
tx *= magval;
ty *= magval;
}
if( xmat )
x_data[x+i] = tx;
if( ymat )
y_data[x+i] = ty;
}
}
}
}
else
{
for( y = 0; y < size.height; y++ )
{
double* x_data = (double*)(xmat ? xmat->data.ptr + xmat->step*y : 0);
double* y_data = (double*)(ymat ? ymat->data.ptr + ymat->step*y : 0);
double* mag_data = (double*)(mag ? mag->data.ptr + mag->step*y : 0);
double* angle_data = (double*)(angle->data.ptr + angle->step*y);
double C = angle_in_degrees ? CV_PI/180. : 1;
for( x = 0; x < size.width; x++ )
{
double phi = angle_data[x]*C;
double magval = mag_data ? mag_data[x] : 1.;
if( xmat )
x_data[x] = cos(phi)*magval;
if( ymat )
y_data[x] = sin(phi)*magval;
}
}
}
__END__;
}
/****************************************************************************************\
* E X P *
\****************************************************************************************/
typedef union
{
struct {
#if ( defined( WORDS_BIGENDIAN ) && !defined( OPENCV_UNIVERSAL_BUILD ) ) || defined( __BIG_ENDIAN__ )
int hi;
int lo;
#else
int lo;
int hi;
#endif
} i;
double d;
}
DBLINT;
#define EXPTAB_SCALE 6
#define EXPTAB_MASK ((1 << EXPTAB_SCALE) - 1)
#define EXPPOLY_32F_A0 .9670371139572337719125840413672004409288e-2
static const double icvExpTab[] = {
1.0 * EXPPOLY_32F_A0,
1.0108892860517004600204097905619 * EXPPOLY_32F_A0,
1.0218971486541166782344801347833 * EXPPOLY_32F_A0,
1.0330248790212284225001082839705 * EXPPOLY_32F_A0,
1.0442737824274138403219664787399 * EXPPOLY_32F_A0,
1.0556451783605571588083413251529 * EXPPOLY_32F_A0,
1.0671404006768236181695211209928 * EXPPOLY_32F_A0,
1.0787607977571197937406800374385 * EXPPOLY_32F_A0,
1.0905077326652576592070106557607 * EXPPOLY_32F_A0,
1.1023825833078409435564142094256 * EXPPOLY_32F_A0,
1.1143867425958925363088129569196 * EXPPOLY_32F_A0,
1.126521618608241899794798643787 * EXPPOLY_32F_A0,
1.1387886347566916537038302838415 * EXPPOLY_32F_A0,
1.151189229952982705817759635202 * EXPPOLY_32F_A0,
1.1637248587775775138135735990922 * EXPPOLY_32F_A0,
1.1763969916502812762846457284838 * EXPPOLY_32F_A0,
1.1892071150027210667174999705605 * EXPPOLY_32F_A0,
1.2021567314527031420963969574978 * EXPPOLY_32F_A0,
1.2152473599804688781165202513388 * EXPPOLY_32F_A0,
1.2284805361068700056940089577928 * EXPPOLY_32F_A0,
1.2418578120734840485936774687266 * EXPPOLY_32F_A0,
1.2553807570246910895793906574423 * EXPPOLY_32F_A0,
1.2690509571917332225544190810323 * EXPPOLY_32F_A0,
1.2828700160787782807266697810215 * EXPPOLY_32F_A0,
1.2968395546510096659337541177925 * EXPPOLY_32F_A0,
1.3109612115247643419229917863308 * EXPPOLY_32F_A0,
1.3252366431597412946295370954987 * EXPPOLY_32F_A0,
1.3396675240533030053600306697244 * EXPPOLY_32F_A0,
1.3542555469368927282980147401407 * EXPPOLY_32F_A0,
1.3690024229745906119296011329822 * EXPPOLY_32F_A0,
1.3839098819638319548726595272652 * EXPPOLY_32F_A0,
1.3989796725383111402095281367152 * EXPPOLY_32F_A0,
1.4142135623730950488016887242097 * EXPPOLY_32F_A0,
1.4296133383919700112350657782751 * EXPPOLY_32F_A0,
1.4451808069770466200370062414717 * EXPPOLY_32F_A0,
1.4609177941806469886513028903106 * EXPPOLY_32F_A0,
1.476826145939499311386907480374 * EXPPOLY_32F_A0,
1.4929077282912648492006435314867 * EXPPOLY_32F_A0,
1.5091644275934227397660195510332 * EXPPOLY_32F_A0,
1.5255981507445383068512536895169 * EXPPOLY_32F_A0,
1.5422108254079408236122918620907 * EXPPOLY_32F_A0,
1.5590044002378369670337280894749 * EXPPOLY_32F_A0,
1.5759808451078864864552701601819 * EXPPOLY_32F_A0,
1.5931421513422668979372486431191 * EXPPOLY_32F_A0,
1.6104903319492543081795206673574 * EXPPOLY_32F_A0,
1.628027421857347766848218522014 * EXPPOLY_32F_A0,
1.6457554781539648445187567247258 * EXPPOLY_32F_A0,
1.6636765803267364350463364569764 * EXPPOLY_32F_A0,
1.6817928305074290860622509524664 * EXPPOLY_32F_A0,
1.7001063537185234695013625734975 * EXPPOLY_32F_A0,
1.7186192981224779156293443764563 * EXPPOLY_32F_A0,
1.7373338352737062489942020818722 * EXPPOLY_32F_A0,
1.7562521603732994831121606193753 * EXPPOLY_32F_A0,
1.7753764925265212525505592001993 * EXPPOLY_32F_A0,
1.7947090750031071864277032421278 * EXPPOLY_32F_A0,
1.8142521755003987562498346003623 * EXPPOLY_32F_A0,
1.8340080864093424634870831895883 * EXPPOLY_32F_A0,
1.8539791250833855683924530703377 * EXPPOLY_32F_A0,
1.8741676341102999013299989499544 * EXPPOLY_32F_A0,
1.8945759815869656413402186534269 * EXPPOLY_32F_A0,
1.9152065613971472938726112702958 * EXPPOLY_32F_A0,
1.9360617934922944505980559045667 * EXPPOLY_32F_A0,
1.9571441241754002690183222516269 * EXPPOLY_32F_A0,
1.9784560263879509682582499181312 * EXPPOLY_32F_A0,
};
static const double exp_prescale = 1.4426950408889634073599246810019 * (1 << EXPTAB_SCALE);
static const double exp_postscale = 1./(1 << EXPTAB_SCALE);
static const double exp_max_val = 3000.*(1 << EXPTAB_SCALE); // log10(DBL_MAX) < 3000
IPCVAPI_IMPL( CvStatus, icvExp_32f, ( const float *_x, float *y, int n ), (_x, y, n) )
{
static const double
EXPPOLY_32F_A4 = 1.000000000000002438532970795181890933776 / EXPPOLY_32F_A0,
EXPPOLY_32F_A3 = .6931471805521448196800669615864773144641 / EXPPOLY_32F_A0,
EXPPOLY_32F_A2 = .2402265109513301490103372422686535526573 / EXPPOLY_32F_A0,
EXPPOLY_32F_A1 = .5550339366753125211915322047004666939128e-1 / EXPPOLY_32F_A0;
#undef EXPPOLY
#define EXPPOLY(x) \
(((((x) + EXPPOLY_32F_A1)*(x) + EXPPOLY_32F_A2)*(x) + EXPPOLY_32F_A3)*(x) + EXPPOLY_32F_A4)
int i = 0;
DBLINT buf[4];
const Cv32suf* x = (const Cv32suf*)_x;
if( !x || !y )
return CV_NULLPTR_ERR;
if( n <= 0 )
return CV_BADSIZE_ERR;
buf[0].i.lo = buf[1].i.lo = buf[2].i.lo = buf[3].i.lo = 0;
for( ; i <= n - 4; i += 4 )
{
double x0 = x[i].f * exp_prescale;
double x1 = x[i + 1].f * exp_prescale;
double x2 = x[i + 2].f * exp_prescale;
double x3 = x[i + 3].f * exp_prescale;
int val0, val1, val2, val3, t;
if( ((x[i].i >> 23) & 255) > 127 + 10 )
x0 = x[i].i < 0 ? -exp_max_val : exp_max_val;
if( ((x[i+1].i >> 23) & 255) > 127 + 10 )
x1 = x[i+1].i < 0 ? -exp_max_val : exp_max_val;
if( ((x[i+2].i >> 23) & 255) > 127 + 10 )
x2 = x[i+2].i < 0 ? -exp_max_val : exp_max_val;
if( ((x[i+3].i >> 23) & 255) > 127 + 10 )
x3 = x[i+3].i < 0 ? -exp_max_val : exp_max_val;
val0 = cvRound(x0);
val1 = cvRound(x1);
val2 = cvRound(x2);
val3 = cvRound(x3);
x0 = (x0 - val0)*exp_postscale;
x1 = (x1 - val1)*exp_postscale;
x2 = (x2 - val2)*exp_postscale;
x3 = (x3 - val3)*exp_postscale;
t = (val0 >> EXPTAB_SCALE) + 1023;
t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
buf[0].i.hi = t << 20;
t = (val1 >> EXPTAB_SCALE) + 1023;
t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
buf[1].i.hi = t << 20;
t = (val2 >> EXPTAB_SCALE) + 1023;
t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
buf[2].i.hi = t << 20;
t = (val3 >> EXPTAB_SCALE) + 1023;
t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
buf[3].i.hi = t << 20;
x0 = buf[0].d * icvExpTab[val0 & EXPTAB_MASK] * EXPPOLY( x0 );
x1 = buf[1].d * icvExpTab[val1 & EXPTAB_MASK] * EXPPOLY( x1 );
y[i] = (float)x0;
y[i + 1] = (float)x1;
x2 = buf[2].d * icvExpTab[val2 & EXPTAB_MASK] * EXPPOLY( x2 );
x3 = buf[3].d * icvExpTab[val3 & EXPTAB_MASK] * EXPPOLY( x3 );
y[i + 2] = (float)x2;
y[i + 3] = (float)x3;
}
for( ; i < n; i++ )
{
double x0 = x[i].f * exp_prescale;
int val0, t;
if( ((x[i].i >> 23) & 255) > 127 + 10 )
x0 = x[i].i < 0 ? -exp_max_val : exp_max_val;
val0 = cvRound(x0);
t = (val0 >> EXPTAB_SCALE) + 1023;
t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
buf[0].i.hi = t << 20;
x0 = (x0 - val0)*exp_postscale;
y[i] = (float)(buf[0].d * icvExpTab[val0 & EXPTAB_MASK] * EXPPOLY(x0));
}
return CV_OK;
}
IPCVAPI_IMPL( CvStatus, icvExp_64f, ( const double *_x, double *y, int n ), (_x, y, n) )
{
static const double
A5 = .99999999999999999998285227504999 / EXPPOLY_32F_A0,
A4 = .69314718055994546743029643825322 / EXPPOLY_32F_A0,
A3 = .24022650695886477918181338054308 / EXPPOLY_32F_A0,
A2 = .55504108793649567998466049042729e-1 / EXPPOLY_32F_A0,
A1 = .96180973140732918010002372686186e-2 / EXPPOLY_32F_A0,
A0 = .13369713757180123244806654839424e-2 / EXPPOLY_32F_A0;
#undef EXPPOLY
#define EXPPOLY(x) (((((A0*(x) + A1)*(x) + A2)*(x) + A3)*(x) + A4)*(x) + A5)
int i = 0;
DBLINT buf[4];
const Cv64suf* x = (const Cv64suf*)_x;
if( !x || !y )
return CV_NULLPTR_ERR;
if( n <= 0 )
return CV_BADSIZE_ERR;
buf[0].i.lo = buf[1].i.lo = buf[2].i.lo = buf[3].i.lo = 0;
for( ; i <= n - 4; i += 4 )
{
double x0 = x[i].f * exp_prescale;
double x1 = x[i + 1].f * exp_prescale;
double x2 = x[i + 2].f * exp_prescale;
double x3 = x[i + 3].f * exp_prescale;
double y0, y1, y2, y3;
int val0, val1, val2, val3, t;
t = (int)(x[i].i >> 52);
if( (t & 2047) > 1023 + 10 )
x0 = t < 0 ? -exp_max_val : exp_max_val;
t = (int)(x[i+1].i >> 52);
if( (t & 2047) > 1023 + 10 )
x1 = t < 0 ? -exp_max_val : exp_max_val;
t = (int)(x[i+2].i >> 52);
if( (t & 2047) > 1023 + 10 )
x2 = t < 0 ? -exp_max_val : exp_max_val;
t = (int)(x[i+3].i >> 52);
if( (t & 2047) > 1023 + 10 )
x3 = t < 0 ? -exp_max_val : exp_max_val;
val0 = cvRound(x0);
val1 = cvRound(x1);
val2 = cvRound(x2);
val3 = cvRound(x3);
x0 = (x0 - val0)*exp_postscale;
x1 = (x1 - val1)*exp_postscale;
x2 = (x2 - val2)*exp_postscale;
x3 = (x3 - val3)*exp_postscale;
t = (val0 >> EXPTAB_SCALE) + 1023;
t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
buf[0].i.hi = t << 20;
t = (val1 >> EXPTAB_SCALE) + 1023;
t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
buf[1].i.hi = t << 20;
t = (val2 >> EXPTAB_SCALE) + 1023;
t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
buf[2].i.hi = t << 20;
t = (val3 >> EXPTAB_SCALE) + 1023;
t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
buf[3].i.hi = t << 20;
y0 = buf[0].d * icvExpTab[val0 & EXPTAB_MASK] * EXPPOLY( x0 );
y1 = buf[1].d * icvExpTab[val1 & EXPTAB_MASK] * EXPPOLY( x1 );
y[i] = y0;
y[i + 1] = y1;
y2 = buf[2].d * icvExpTab[val2 & EXPTAB_MASK] * EXPPOLY( x2 );
y3 = buf[3].d * icvExpTab[val3 & EXPTAB_MASK] * EXPPOLY( x3 );
y[i + 2] = y2;
y[i + 3] = y3;
}
for( ; i < n; i++ )
{
double x0 = x[i].f * exp_prescale;
int val0, t;
t = (int)(x[i].i >> 52);
if( (t & 2047) > 1023 + 10 )
x0 = t < 0 ? -exp_max_val : exp_max_val;
val0 = cvRound(x0);
t = (val0 >> EXPTAB_SCALE) + 1023;
t = (t | ((t < 2047) - 1)) & (((t < 0) - 1) & 2047);
buf[0].i.hi = t << 20;
x0 = (x0 - val0)*exp_postscale;
y[i] = buf[0].d * icvExpTab[val0 & EXPTAB_MASK] * EXPPOLY( x0 );
}
return CV_OK;
}
#undef EXPTAB_SCALE
#undef EXPTAB_MASK
#undef EXPPOLY_32F_A0
CV_IMPL void cvExp( const CvArr* srcarr, CvArr* dstarr )
{
CV_FUNCNAME( "cvExp" );
__BEGIN__;
CvMat srcstub, *src = (CvMat*)srcarr;
CvMat dststub, *dst = (CvMat*)dstarr;
int coi1 = 0, coi2 = 0, src_depth, dst_depth;
double* buffer = 0;
CvSize size;
int x, y, dx = 0;
if( !CV_IS_MAT(src))
CV_CALL( src = cvGetMat( src, &srcstub, &coi1 ));
if( !CV_IS_MAT(dst))
CV_CALL( dst = cvGetMat( dst, &dststub, &coi2 ));
if( coi1 != 0 || coi2 != 0 )
CV_ERROR( CV_BadCOI, "" );
src_depth = CV_MAT_DEPTH(src->type);
dst_depth = CV_MAT_DEPTH(dst->type);
if( !CV_ARE_CNS_EQ( src, dst ) || src_depth < CV_32F || dst_depth < src_depth )
CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );
if( !CV_ARE_SIZES_EQ( src, dst ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );
size = cvGetMatSize(src);
size.width *= CV_MAT_CN(src->type);
if( CV_IS_MAT_CONT( src->type & dst->type ))
{
size.width *= size.height;
size.height = 1;
}
if( !CV_ARE_DEPTHS_EQ( src, dst ))
{
dx = MIN( 1024, size.width );
buffer = (double*)cvStackAlloc( dx*sizeof(buffer[0]) );
}
for( y = 0; y < size.height; y++ )
{
uchar* src_data = src->data.ptr + src->step*y;
uchar* dst_data = dst->data.ptr + dst->step*y;
if( src_depth == CV_64F )
{
icvExp_64f( (double*)src_data, (double*)dst_data, size.width );
}
else if( src_depth == dst_depth )
{
icvExp_32f( (float*)src_data, (float*)dst_data, size.width );
}
else
{
for( x = 0; x < size.width; x += dx )
{
int len = dx;
if( x + len > size.width )
len = size.width - x;
icvCvt_32f64f( (float*)src_data + x, buffer, len );
icvExp_64f( buffer, (double*)dst_data + x, len );
}
}
}
__END__;
}
/****************************************************************************************\
* L O G *
\****************************************************************************************/
#define LOGTAB_SCALE 8
#define LOGTAB_MASK ((1 << LOGTAB_SCALE) - 1)
#define LOGTAB_MASK2 ((1 << (20 - LOGTAB_SCALE)) - 1)
#define LOGTAB_MASK2_32F ((1 << (23 - LOGTAB_SCALE)) - 1)
static const double icvLogTab[] = {
0.0000000000000000000000000000000000000000, 1.000000000000000000000000000000000000000,
.00389864041565732288852075271279318258166, .9961089494163424124513618677042801556420,
.00778214044205494809292034119607706088573, .9922480620155038759689922480620155038760,
.01165061721997527263705585198749759001657, .9884169884169884169884169884169884169884,
.01550418653596525274396267235488267033361, .9846153846153846153846153846153846153846,
.01934296284313093139406447562578250654042, .9808429118773946360153256704980842911877,
.02316705928153437593630670221500622574241, .9770992366412213740458015267175572519084,
.02697658769820207233514075539915211265906, .9733840304182509505703422053231939163498,
.03077165866675368732785500469617545604706, .9696969696969696969696969696969696969697,
.03455238150665972812758397481047722976656, .9660377358490566037735849056603773584906,
.03831886430213659461285757856785494368522, .9624060150375939849624060150375939849624,
.04207121392068705056921373852674150839447, .9588014981273408239700374531835205992509,
.04580953603129420126371940114040626212953, .9552238805970149253731343283582089552239,
.04953393512227662748292900118940451648088, .9516728624535315985130111524163568773234,
.05324451451881227759255210685296333394944, .9481481481481481481481481481481481481481,
.05694137640013842427411105973078520037234, .9446494464944649446494464944649446494465,
.06062462181643483993820353816772694699466, .9411764705882352941176470588235294117647,
.06429435070539725460836422143984236754475, .9377289377289377289377289377289377289377,
.06795066190850773679699159401934593915938, .9343065693430656934306569343065693430657,
.07159365318700880442825962290953611955044, .9309090909090909090909090909090909090909,
.07522342123758751775142172846244648098944, .9275362318840579710144927536231884057971,
.07884006170777602129362549021607264876369, .9241877256317689530685920577617328519856,
.08244366921107458556772229485432035289706, .9208633093525179856115107913669064748201,
.08603433734180314373940490213499288074675, .9175627240143369175627240143369175627240,
.08961215868968712416897659522874164395031, .9142857142857142857142857142857142857143,
.09317722485418328259854092721070628613231, .9110320284697508896797153024911032028470,
.09672962645855109897752299730200320482256, .9078014184397163120567375886524822695035,
.10026945316367513738597949668474029749630, .9045936395759717314487632508833922261484,
.10379679368164355934833764649738441221420, .9014084507042253521126760563380281690141,
.10731173578908805021914218968959175981580, .8982456140350877192982456140350877192982,
.11081436634029011301105782649756292812530, .8951048951048951048951048951048951048951,
.11430477128005862852422325204315711744130, .8919860627177700348432055749128919860627,
.11778303565638344185817487641543266363440, .8888888888888888888888888888888888888889,
.12124924363286967987640707633545389398930, .8858131487889273356401384083044982698962,
.12470347850095722663787967121606925502420, .8827586206896551724137931034482758620690,
.12814582269193003360996385708858724683530, .8797250859106529209621993127147766323024,
.13157635778871926146571524895989568904040, .8767123287671232876712328767123287671233,
.13499516453750481925766280255629681050780, .8737201365187713310580204778156996587031,
.13840232285911913123754857224412262439730, .8707482993197278911564625850340136054422,
.14179791186025733629172407290752744302150, .8677966101694915254237288135593220338983,
.14518200984449788903951628071808954700830, .8648648648648648648648648648648648648649,
.14855469432313711530824207329715136438610, .8619528619528619528619528619528619528620,
.15191604202584196858794030049466527998450, .8590604026845637583892617449664429530201,
.15526612891112392955683674244937719777230, .8561872909698996655518394648829431438127,
.15860503017663857283636730244325008243330, .8533333333333333333333333333333333333333,
.16193282026931324346641360989451641216880, .8504983388704318936877076411960132890365,
.16524957289530714521497145597095368430010, .8476821192052980132450331125827814569536,
.16855536102980664403538924034364754334090, .8448844884488448844884488448844884488449,
.17185025692665920060697715143760433420540, .8421052631578947368421052631578947368421,
.17513433212784912385018287750426679849630, .8393442622950819672131147540983606557377,
.17840765747281828179637841458315961062910, .8366013071895424836601307189542483660131,
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.68333355911162063645036823800182901322850, .5049309664694280078895463510848126232742,
.68530400309891936760919861626462079584600, .5039370078740157480314960629921259842520,
.68727057207096020619019327568821609020250, .5029469548133595284872298624754420432220,
.68923328123880889251040571252815425395950, .5019607843137254901960784313725490196078,
.69314718055994530941723212145818, 5.0e-01,
};
#define LOGTAB_TRANSLATE(x,h) (((x) - 1.)*icvLogTab[(h)+1])
static const double ln_2 = 0.69314718055994530941723212145818;
IPCVAPI_IMPL( CvStatus, icvLog_32f, ( const float *_x, float *y, int n ), (_x, y, n) )
{
static const double shift[] = { 0, -1./512 };
static const double
A0 = 0.3333333333333333333333333,
A1 = -0.5,
A2 = 1;
#undef LOGPOLY
#define LOGPOLY(x,k) ((x)+=shift[k],((A0*(x) + A1)*(x) + A2)*(x))
int i = 0;
union
{
int i;
float f;
}
buf[4];
const int* x = (const int*)_x;
if( !x || !y )
return CV_NULLPTR_ERR;
if( n <= 0 )
return CV_BADSIZE_ERR;
for( i = 0; i <= n - 4; i += 4 )
{
double x0, x1, x2, x3;
double y0, y1, y2, y3;
int h0, h1, h2, h3;
h0 = x[i];
h1 = x[i+1];
buf[0].i = (h0 & LOGTAB_MASK2_32F) | (127 << 23);
buf[1].i = (h1 & LOGTAB_MASK2_32F) | (127 << 23);
y0 = (((h0 >> 23) & 0xff) - 127) * ln_2;
y1 = (((h1 >> 23) & 0xff) - 127) * ln_2;
h0 = (h0 >> (23 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;
h1 = (h1 >> (23 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;
y0 += icvLogTab[h0];
y1 += icvLogTab[h1];
h2 = x[i+2];
h3 = x[i+3];
x0 = LOGTAB_TRANSLATE( buf[0].f, h0 );
x1 = LOGTAB_TRANSLATE( buf[1].f, h1 );
buf[2].i = (h2 & LOGTAB_MASK2_32F) | (127 << 23);
buf[3].i = (h3 & LOGTAB_MASK2_32F) | (127 << 23);
y2 = (((h2 >> 23) & 0xff) - 127) * ln_2;
y3 = (((h3 >> 23) & 0xff) - 127) * ln_2;
h2 = (h2 >> (23 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;
h3 = (h3 >> (23 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;
y2 += icvLogTab[h2];
y3 += icvLogTab[h3];
x2 = LOGTAB_TRANSLATE( buf[2].f, h2 );
x3 = LOGTAB_TRANSLATE( buf[3].f, h3 );
y0 += LOGPOLY( x0, h0 == 510 );
y1 += LOGPOLY( x1, h1 == 510 );
y[i] = (float) y0;
y[i + 1] = (float) y1;
y2 += LOGPOLY( x2, h2 == 510 );
y3 += LOGPOLY( x3, h3 == 510 );
y[i + 2] = (float) y2;
y[i + 3] = (float) y3;
}
for( ; i < n; i++ )
{
int h0 = x[i];
double x0, y0;
y0 = (((h0 >> 23) & 0xff) - 127) * ln_2;
buf[0].i = (h0 & LOGTAB_MASK2_32F) | (127 << 23);
h0 = (h0 >> (23 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;
y0 += icvLogTab[h0];
x0 = LOGTAB_TRANSLATE( buf[0].f, h0 );
y0 += LOGPOLY( x0, h0 == 510 );
y[i] = (float)y0;
}
return CV_OK;
}
IPCVAPI_IMPL( CvStatus, icvLog_64f, ( const double *x, double *y, int n ), (x, y, n) )
{
static const double shift[] = { 0, -1./512 };
static const double
A0 = -.1666666666666666666666666666666666666666,
A1 = +0.2,
A2 = -0.25,
A3 = +0.3333333333333333333333333333333333333333,
A4 = -0.5,
A5 = +1.0;
#undef LOGPOLY
#define LOGPOLY(x,k) ((x)+=shift[k], (xq) = (x)*(x),\
((A0*(xq) + A2)*(xq) + A4)*(xq) + ((A1*(xq) + A3)*(xq) + A5)*(x))
int i = 0;
DBLINT buf[4];
DBLINT *X = (DBLINT *) x;
if( !x || !y )
return CV_NULLPTR_ERR;
if( n <= 0 )
return CV_BADSIZE_ERR;
for( ; i <= n - 4; i += 4 )
{
double xq;
double x0, x1, x2, x3;
double y0, y1, y2, y3;
int h0, h1, h2, h3;
h0 = X[i].i.lo;
h1 = X[i + 1].i.lo;
buf[0].i.lo = h0;
buf[1].i.lo = h1;
h0 = X[i].i.hi;
h1 = X[i + 1].i.hi;
buf[0].i.hi = (h0 & LOGTAB_MASK2) | (1023 << 20);
buf[1].i.hi = (h1 & LOGTAB_MASK2) | (1023 << 20);
y0 = (((h0 >> 20) & 0x7ff) - 1023) * ln_2;
y1 = (((h1 >> 20) & 0x7ff) - 1023) * ln_2;
h2 = X[i + 2].i.lo;
h3 = X[i + 3].i.lo;
buf[2].i.lo = h2;
buf[3].i.lo = h3;
h0 = (h0 >> (20 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;
h1 = (h1 >> (20 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;
y0 += icvLogTab[h0];
y1 += icvLogTab[h1];
h2 = X[i + 2].i.hi;
h3 = X[i + 3].i.hi;
x0 = LOGTAB_TRANSLATE( buf[0].d, h0 );
x1 = LOGTAB_TRANSLATE( buf[1].d, h1 );
buf[2].i.hi = (h2 & LOGTAB_MASK2) | (1023 << 20);
buf[3].i.hi = (h3 & LOGTAB_MASK2) | (1023 << 20);
y2 = (((h2 >> 20) & 0x7ff) - 1023) * ln_2;
y3 = (((h3 >> 20) & 0x7ff) - 1023) * ln_2;
h2 = (h2 >> (20 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;
h3 = (h3 >> (20 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;
y2 += icvLogTab[h2];
y3 += icvLogTab[h3];
x2 = LOGTAB_TRANSLATE( buf[2].d, h2 );
x3 = LOGTAB_TRANSLATE( buf[3].d, h3 );
y0 += LOGPOLY( x0, h0 == 510 );
y1 += LOGPOLY( x1, h1 == 510 );
y[i] = y0;
y[i + 1] = y1;
y2 += LOGPOLY( x2, h2 == 510 );
y3 += LOGPOLY( x3, h3 == 510 );
y[i + 2] = y2;
y[i + 3] = y3;
}
for( ; i < n; i++ )
{
int h0 = X[i].i.hi;
double xq;
double x0, y0 = (((h0 >> 20) & 0x7ff) - 1023) * ln_2;
buf[0].i.hi = (h0 & LOGTAB_MASK2) | (1023 << 20);
buf[0].i.lo = X[i].i.lo;
h0 = (h0 >> (20 - LOGTAB_SCALE - 1)) & LOGTAB_MASK * 2;
y0 += icvLogTab[h0];
x0 = LOGTAB_TRANSLATE( buf[0].d, h0 );
y0 += LOGPOLY( x0, h0 == 510 );
y[i] = y0;
}
return CV_OK;
}
CV_IMPL void cvLog( const CvArr* srcarr, CvArr* dstarr )
{
CV_FUNCNAME( "cvLog" );
__BEGIN__;
CvMat srcstub, *src = (CvMat*)srcarr;
CvMat dststub, *dst = (CvMat*)dstarr;
int coi1 = 0, coi2 = 0, src_depth, dst_depth;
double* buffer = 0;
CvSize size;
int x, y, dx = 0;
if( !CV_IS_MAT(src))
CV_CALL( src = cvGetMat( src, &srcstub, &coi1 ));
if( !CV_IS_MAT(dst))
CV_CALL( dst = cvGetMat( dst, &dststub, &coi2 ));
if( coi1 != 0 || coi2 != 0 )
CV_ERROR( CV_BadCOI, "" );
src_depth = CV_MAT_DEPTH(src->type);
dst_depth = CV_MAT_DEPTH(dst->type);
if( !CV_ARE_CNS_EQ( src, dst ) || dst_depth < CV_32F || src_depth < dst_depth )
CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );
if( !CV_ARE_SIZES_EQ( src, dst ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );
size = cvGetMatSize(src);
size.width *= CV_MAT_CN(src->type);
if( CV_IS_MAT_CONT( src->type & dst->type ))
{
size.width *= size.height;
size.height = 1;
}
if( !CV_ARE_DEPTHS_EQ( src, dst ))
{
dx = MIN( 1024, size.width );
buffer = (double*)cvStackAlloc( dx*sizeof(buffer[0]) );
}
for( y = 0; y < size.height; y++ )
{
uchar* src_data = src->data.ptr + src->step*y;
uchar* dst_data = dst->data.ptr + dst->step*y;
if( dst_depth == CV_64F )
{
icvLog_64f( (double*)src_data, (double*)dst_data, size.width );
}
else if( src_depth == dst_depth )
{
icvLog_32f( (float*)src_data, (float*)dst_data, size.width );
}
else
{
for( x = 0; x < size.width; x += dx )
{
int len = dx;
if( x + len > size.width )
len = size.width - x;
icvLog_64f( (double*)src_data + x, buffer, len );
icvCvt_64f32f( buffer, (float*)dst_data + x, len );
}
}
}
__END__;
}
/****************************************************************************************\
* P O W E R *
\****************************************************************************************/
#define ICV_DEF_IPOW_OP( flavor, arrtype, worktype, cast_macro ) \
static CvStatus CV_STDCALL \
icvIPow_##flavor( const arrtype* src, arrtype* dst, int len, int power ) \
{ \
int i; \
\
for( i = 0; i < len; i++ ) \
{ \
worktype a = 1, b = src[i]; \
int p = power; \
while( p > 1 ) \
{ \
if( p & 1 ) \
a *= b; \
b *= b; \
p >>= 1; \
} \
\
a *= b; \
dst[i] = cast_macro(a); \
} \
\
return CV_OK; \
}
ICV_DEF_IPOW_OP( 8u, uchar, int, CV_CAST_8U )
ICV_DEF_IPOW_OP( 16u, ushort, int, CV_CAST_16U )
ICV_DEF_IPOW_OP( 16s, short, int, CV_CAST_16S )
ICV_DEF_IPOW_OP( 32s, int, int, CV_CAST_32S )
ICV_DEF_IPOW_OP( 32f, float, double, CV_CAST_32F )
ICV_DEF_IPOW_OP( 64f, double, double, CV_CAST_64F )
#define icvIPow_8s 0
CV_DEF_INIT_FUNC_TAB_1D( IPow )
typedef CvStatus (CV_STDCALL * CvIPowFunc)( const void* src, void* dst, int len, int power );
typedef CvStatus (CV_STDCALL * CvSqrtFunc)( const void* src, void* dst, int len );
CV_IMPL void cvPow( const CvArr* srcarr, CvArr* dstarr, double power )
{
static CvFuncTable ipow_tab;
static int inittab = 0;
CV_FUNCNAME( "cvPow" );
__BEGIN__;
void* temp_buffer = 0;
int block_size = 0;
CvMat srcstub, *src = (CvMat*)srcarr;
CvMat dststub, *dst = (CvMat*)dstarr;
int coi1 = 0, coi2 = 0;
int depth;
CvSize size;
int x, y;
int ipower = cvRound( power );
int is_ipower = 0;
if( !CV_IS_MAT(src))
CV_CALL( src = cvGetMat( src, &srcstub, &coi1 ));
if( !CV_IS_MAT(dst))
CV_CALL( dst = cvGetMat( dst, &dststub, &coi2 ));
if( coi1 != 0 || coi2 != 0 )
CV_ERROR( CV_BadCOI, "" );
if( !CV_ARE_TYPES_EQ( src, dst ))
CV_ERROR_FROM_CODE( CV_StsUnmatchedFormats );
if( !CV_ARE_SIZES_EQ( src, dst ) )
CV_ERROR_FROM_CODE( CV_StsUnmatchedSizes );
depth = CV_MAT_DEPTH( src->type );
if( fabs(ipower - power) < DBL_EPSILON )
{
if( !inittab )
{
icvInitIPowTable( &ipow_tab );
inittab = 1;
}
if( ipower < 0 )
{
CV_CALL( cvDiv( 0, src, dst ));
if( ipower == -1 )
EXIT;
ipower = -ipower;
src = dst;
}
switch( ipower )
{
case 0:
cvSet( dst, cvScalarAll(1));
EXIT;
case 1:
cvCopy( src, dst );
EXIT;
case 2:
cvMul( src, src, dst );
EXIT;
default:
is_ipower = 1;
}
}
else if( depth < CV_32F )
CV_ERROR( CV_StsUnsupportedFormat,
"Fractional or negative integer power factor can be used "
"with floating-point types only");
size = cvGetMatSize(src);
size.width *= CV_MAT_CN(src->type);
if( CV_IS_MAT_CONT( src->type & dst->type ))
{
size.width *= size.height;
size.height = 1;
}
if( is_ipower )
{
CvIPowFunc pow_func = (CvIPowFunc)ipow_tab.fn_2d[depth];
if( !pow_func )
CV_ERROR( CV_StsUnsupportedFormat, "The data type is not supported" );
for( y = 0; y < size.height; y++ )
{
uchar* src_data = src->data.ptr + src->step*y;
uchar* dst_data = dst->data.ptr + dst->step*y;
pow_func( src_data, dst_data, size.width, ipower );
}
}
else if( fabs(fabs(power) - 0.5) < DBL_EPSILON )
{
CvSqrtFunc sqrt_func = power < 0 ?
(depth == CV_32F ? (CvSqrtFunc)icvInvSqrt_32f : (CvSqrtFunc)icvInvSqrt_64f) :
(depth == CV_32F ? (CvSqrtFunc)icvSqrt_32f : (CvSqrtFunc)icvSqrt_64f);
for( y = 0; y < size.height; y++ )
{
uchar* src_data = src->data.ptr + src->step*y;
uchar* dst_data = dst->data.ptr + dst->step*y;
sqrt_func( src_data, dst_data, size.width );
}
}
else
{
block_size = MIN( size.width, ICV_MATH_BLOCK_SIZE );
temp_buffer = cvStackAlloc( block_size*CV_ELEM_SIZE(depth) );
for( y = 0; y < size.height; y++ )
{
uchar* src_data = src->data.ptr + src->step*y;
uchar* dst_data = dst->data.ptr + dst->step*y;
for( x = 0; x < size.width; x += block_size )
{
int len = MIN( size.width - x, block_size );
if( depth == CV_32F )
{
icvLog_32f( (float*)src_data + x, (float*)temp_buffer, len );
icvScale_32f( (float*)temp_buffer, (float*)temp_buffer, len, (float)power, 0 );
icvExp_32f( (float*)temp_buffer, (float*)dst_data + x, len );
}
else
{
icvLog_64f( (double*)src_data + x, (double*)temp_buffer, len );
icvScale_64f( (double*)temp_buffer, (double*)temp_buffer, len, power, 0 );
icvExp_64f( (double*)temp_buffer, (double*)dst_data + x, len );
}
}
}
}
__END__;
}
/************************** CheckArray for NaN's, Inf's *********************************/
IPCVAPI_IMPL( CvStatus, icvCheckArray_32f_C1R,
( const float* src, int srcstep, CvSize size, int flags, double min_val, double max_val ),
(src, srcstep, size, flags, min_val, max_val) )
{
Cv32suf a, b;
int ia, ib;
const int* isrc = (const int*)src;
if( !src )
return CV_NULLPTR_ERR;
if( size.width <= 0 || size.height <= 0 )
return CV_BADSIZE_ERR;
if( flags & CV_CHECK_RANGE )
{
a.f = (float)min_val;
b.f = (float)max_val;
}
else
{
a.f = -FLT_MAX;
b.f = FLT_MAX;
}
ia = CV_TOGGLE_FLT(a.i);
ib = CV_TOGGLE_FLT(b.i);
srcstep /= sizeof(isrc[0]);
for( ; size.height--; isrc += srcstep )
{
int i;
for( i = 0; i < size.width; i++ )
{
int val = isrc[i];
val = CV_TOGGLE_FLT(val);
if( val < ia || val >= ib )
return CV_BADRANGE_ERR;
}
}
return CV_OK;
}
IPCVAPI_IMPL( CvStatus, icvCheckArray_64f_C1R,
( const double* src, int srcstep, CvSize size, int flags, double min_val, double max_val ),
(src, srcstep, size, flags, min_val, max_val) )
{
Cv64suf a, b;
int64 ia, ib;
const int64* isrc = (const int64*)src;
if( !src )
return CV_NULLPTR_ERR;
if( size.width <= 0 || size.height <= 0 )
return CV_BADSIZE_ERR;
if( flags & CV_CHECK_RANGE )
{
a.f = min_val;
b.f = max_val;
}
else
{
a.f = -DBL_MAX;
b.f = DBL_MAX;
}
ia = CV_TOGGLE_DBL(a.i);
ib = CV_TOGGLE_DBL(b.i);
srcstep /= sizeof(isrc[0]);
for( ; size.height--; isrc += srcstep )
{
int i;
for( i = 0; i < size.width; i++ )
{
int64 val = isrc[i];
val = CV_TOGGLE_DBL(val);
if( val < ia || val >= ib )
return CV_BADRANGE_ERR;
}
}
return CV_OK;
}
CV_IMPL int cvCheckArr( const CvArr* arr, int flags,
double minVal, double maxVal )
{
int result = 0;
CV_FUNCNAME( "cvCheckArr" );
__BEGIN__;
if( arr )
{
CvStatus status = CV_OK;
CvMat stub, *mat = (CvMat*)arr;
int type;
CvSize size;
if( !CV_IS_MAT( mat ))
CV_CALL( mat = cvGetMat( mat, &stub, 0, 1 ));
type = CV_MAT_TYPE( mat->type );
size = cvGetMatSize( mat );
size.width *= CV_MAT_CN( type );
if( CV_IS_MAT_CONT( mat->type ))
{
size.width *= size.height;
size.height = 1;
}
if( CV_MAT_DEPTH(type) == CV_32F )
{
status = icvCheckArray_32f_C1R( mat->data.fl, mat->step, size,
flags, minVal, maxVal );
}
else if( CV_MAT_DEPTH(type) == CV_64F )
{
status = icvCheckArray_64f_C1R( mat->data.db, mat->step, size,
flags, minVal, maxVal );
}
else
{
CV_ERROR( CV_StsUnsupportedFormat, "" );
}
if( status < 0 )
{
if( status != CV_BADRANGE_ERR || !(flags & CV_CHECK_QUIET))
CV_ERROR( CV_StsOutOfRange, "CheckArray failed" );
EXIT;
}
}
result = 1;
__END__;
return result;
}
/* End of file. */