+++ /dev/null
-/*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 "_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,
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-.60755525022454170969155029524699784815300, .5446808510638297872340425531914893617021,
-.60968064953685519036241657886421307921400, .5435244161358811040339702760084925690021,
-.61180154110599282990534675263916142284850, .5423728813559322033898305084745762711864,
-.61391794401237043121710712512140162289150, .5412262156448202959830866807610993657505,
-.61602987721551394351138242200249806046500, .5400843881856540084388185654008438818565,
-.61813735955507864705538167982012964785100, .5389473684210526315789473684210526315789,
-.62024040975185745772080281312810257077200, .5378151260504201680672268907563025210084,
-.62233904640877868441606324267922900617100, .5366876310272536687631027253668763102725,
-.62443328801189346144440150965237990021700, .5355648535564853556485355648535564853556,
-.62652315293135274476554741340805776417250, .5344467640918580375782881002087682672234,
-.62860865942237409420556559780379757285100, .5333333333333333333333333333333333333333,
-.63068982562619868570408243613201193511500, .5322245322245322245322245322245322245322,
-.63276666957103777644277897707070223987100, .5311203319502074688796680497925311203320,
-.63483920917301017716738442686619237065300, .5300207039337474120082815734989648033126,
-.63690746223706917739093569252872839570050, .5289256198347107438016528925619834710744,
-.63897144645792069983514238629140891134750, .5278350515463917525773195876288659793814,
-.64103117942093124081992527862894348800200, .5267489711934156378600823045267489711934,
-.64308667860302726193566513757104985415950, .5256673511293634496919917864476386036961,
-.64513796137358470073053240412264131009600, .5245901639344262295081967213114754098361,
-.64718504499530948859131740391603671014300, .5235173824130879345603271983640081799591,
-.64922794662510974195157587018911726772800, .5224489795918367346938775510204081632653,
-.65126668331495807251485530287027359008800, .5213849287169042769857433808553971486762,
-.65330127201274557080523663898929953575150, .5203252032520325203252032520325203252033,
-.65533172956312757406749369692988693714150, .5192697768762677484787018255578093306288,
-.65735807270835999727154330685152672231200, .5182186234817813765182186234817813765182,
-.65938031808912778153342060249997302889800, .5171717171717171717171717171717171717172,
-.66139848224536490484126716182800009846700, .5161290322580645161290322580645161290323,
-.66341258161706617713093692145776003599150, .5150905432595573440643863179074446680080,
-.66542263254509037562201001492212526500250, .5140562248995983935742971887550200803213,
-.66742865127195616370414654738851822912700, .5130260521042084168336673346693386773547,
-.66943065394262923906154583164607174694550, .5120000000000000000000000000000000000000,
-.67142865660530226534774556057527661323550, .5109780439121756487025948103792415169661,
-.67342267521216669923234121597488410770900, .5099601593625498007968127490039840637450,
-.67541272562017662384192817626171745359900, .5089463220675944333996023856858846918489,
-.67739882359180603188519853574689477682100, .5079365079365079365079365079365079365079,
-.67938098479579733801614338517538271844400, .5069306930693069306930693069306930693069,
-.68135922480790300781450241629499942064300, .5059288537549407114624505928853754940711,
-.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. */