| /*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, |
| .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, |
| .18167030310763465639212199675966985523700, .8338762214983713355048859934853420195440, |
| .18492233849401198964024217730184318497780, .8311688311688311688311688311688311688312, |
| .18816383241818296356839823602058459073300, .8284789644012944983818770226537216828479, |
| .19139485299962943898322009772527962923050, .8258064516129032258064516129032258064516, |
| .19461546769967164038916962454095482826240, .8231511254019292604501607717041800643087, |
| .19782574332991986754137769821682013571260, .8205128205128205128205128205128205128205, |
| .20102574606059073203390141770796617493040, .8178913738019169329073482428115015974441, |
| .20421554142869088876999228432396193966280, .8152866242038216560509554140127388535032, |
| .20739519434607056602715147164417430758480, .8126984126984126984126984126984126984127, |
| .21056476910734961416338251183333341032260, .8101265822784810126582278481012658227848, |
| .21372432939771812687723695489694364368910, .8075709779179810725552050473186119873817, |
| .21687393830061435506806333251006435602900, .8050314465408805031446540880503144654088, |
| .22001365830528207823135744547471404075630, .8025078369905956112852664576802507836991, |
| .22314355131420973710199007200571941211830, .8000000000000000000000000000000000000000, |
| .22626367865045338145790765338460914790630, .7975077881619937694704049844236760124611, |
| .22937410106484582006380890106811420992010, .7950310559006211180124223602484472049689, |
| .23247487874309405442296849741978803649550, .7925696594427244582043343653250773993808, |
| .23556607131276688371634975283086532726890, .7901234567901234567901234567901234567901, |
| .23864773785017498464178231643018079921600, .7876923076923076923076923076923076923077, |
| .24171993688714515924331749374687206000090, .7852760736196319018404907975460122699387, |
| .24478272641769091566565919038112042471760, .7828746177370030581039755351681957186544, |
| .24783616390458124145723672882013488560910, .7804878048780487804878048780487804878049, |
| .25088030628580937353433455427875742316250, .7781155015197568389057750759878419452888, |
| .25391520998096339667426946107298135757450, .7757575757575757575757575757575757575758, |
| .25694093089750041913887912414793390780680, .7734138972809667673716012084592145015106, |
| .25995752443692604627401010475296061486000, .7710843373493975903614457831325301204819, |
| .26296504550088134477547896494797896593800, .7687687687687687687687687687687687687688, |
| .26596354849713793599974565040611196309330, .7664670658682634730538922155688622754491, |
| .26895308734550393836570947314612567424780, .7641791044776119402985074626865671641791, |
| .27193371548364175804834985683555714786050, .7619047619047619047619047619047619047619, |
| .27490548587279922676529508862586226314300, .7596439169139465875370919881305637982196, |
| .27786845100345625159121709657483734190480, .7573964497041420118343195266272189349112, |
| .28082266290088775395616949026589281857030, .7551622418879056047197640117994100294985, |
| .28376817313064456316240580235898960381750, .7529411764705882352941176470588235294118, |
| .28670503280395426282112225635501090437180, .7507331378299120234604105571847507331378, |
| .28963329258304265634293983566749375313530, .7485380116959064327485380116959064327485, |
| .29255300268637740579436012922087684273730, .7463556851311953352769679300291545189504, |
| .29546421289383584252163927885703742504130, .7441860465116279069767441860465116279070, |
| .29836697255179722709783618483925238251680, .7420289855072463768115942028985507246377, |
| .30126133057816173455023545102449133992200, .7398843930635838150289017341040462427746, |
| .30414733546729666446850615102448500692850, .7377521613832853025936599423631123919308, |
| .30702503529491181888388950937951449304830, .7356321839080459770114942528735632183908, |
| .30989447772286465854207904158101882785550, .7335243553008595988538681948424068767908, |
| .31275571000389684739317885942000430077330, .7314285714285714285714285714285714285714, |
| .31560877898630329552176476681779604405180, .7293447293447293447293447293447293447293, |
| .31845373111853458869546784626436419785030, .7272727272727272727272727272727272727273, |
| .32129061245373424782201254856772720813750, .7252124645892351274787535410764872521246, |
| .32411946865421192853773391107097268104550, .7231638418079096045197740112994350282486, |
| .32694034499585328257253991068864706903700, .7211267605633802816901408450704225352113, |
| .32975328637246797969240219572384376078850, .7191011235955056179775280898876404494382, |
| .33255833730007655635318997155991382896900, .7170868347338935574229691876750700280112, |
| .33535554192113781191153520921943709254280, .7150837988826815642458100558659217877095, |
| .33814494400871636381467055798566434532400, .7130919220055710306406685236768802228412, |
| .34092658697059319283795275623560883104800, .7111111111111111111111111111111111111111, |
| .34370051385331840121395430287520866841080, .7091412742382271468144044321329639889197, |
| .34646676734620857063262633346312213689100, .7071823204419889502762430939226519337017, |
| .34922538978528827602332285096053965389730, .7052341597796143250688705234159779614325, |
| .35197642315717814209818925519357435405250, .7032967032967032967032967032967032967033, |
| .35471990910292899856770532096561510115850, .7013698630136986301369863013698630136986, |
| .35745588892180374385176833129662554711100, .6994535519125683060109289617486338797814, |
| .36018440357500774995358483465679455548530, .6975476839237057220708446866485013623978, |
| .36290549368936841911903457003063522279280, .6956521739130434782608695652173913043478, |
| .36561919956096466943762379742111079394830, .6937669376693766937669376693766937669377, |
| .36832556115870762614150635272380895912650, .6918918918918918918918918918918918918919, |
| .37102461812787262962487488948681857436900, .6900269541778975741239892183288409703504, |
| .37371640979358405898480555151763837784530, .6881720430107526881720430107526881720430, |
| .37640097516425302659470730759494472295050, .6863270777479892761394101876675603217158, |
| .37907835293496944251145919224654790014030, .6844919786096256684491978609625668449198, |
| .38174858149084833769393299007788300514230, .6826666666666666666666666666666666666667, |
| .38441169891033200034513583887019194662580, .6808510638297872340425531914893617021277, |
| .38706774296844825844488013899535872042180, .6790450928381962864721485411140583554377, |
| .38971675114002518602873692543653305619950, .6772486772486772486772486772486772486772, |
| .39235876060286384303665840889152605086580, .6754617414248021108179419525065963060686, |
| .39499380824086893770896722344332374632350, .6736842105263157894736842105263157894737, |
| .39762193064713846624158577469643205404280, .6719160104986876640419947506561679790026, |
| .40024316412701266276741307592601515352730, .6701570680628272251308900523560209424084, |
| .40285754470108348090917615991202183067800, .6684073107049608355091383812010443864230, |
| .40546510810816432934799991016916465014230, .6666666666666666666666666666666666666667, |
| .40806588980822172674223224930756259709600, .6649350649350649350649350649350649350649, |
| .41065992498526837639616360320360399782650, .6632124352331606217616580310880829015544, |
| .41324724855021932601317757871584035456180, .6614987080103359173126614987080103359173, |
| .41582789514371093497757669865677598863850, .6597938144329896907216494845360824742268, |
| .41840189913888381489925905043492093682300, .6580976863753213367609254498714652956298, |
| .42096929464412963239894338585145305842150, .6564102564102564102564102564102564102564, |
| .42353011550580327293502591601281892508280, .6547314578005115089514066496163682864450, |
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| .43117346481837132143866142541810404509300, .6497461928934010152284263959390862944162, |
| .43370832042155937902094819946796633303180, .6481012658227848101265822784810126582278, |
| .43623676677491801667585491486534010618930, .6464646464646464646464646464646464646465, |
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| .44127456080487520440058801796112675219780, .6432160804020100502512562814070351758794, |
| .44378397241030093089975139264424797147500, .6416040100250626566416040100250626566416, |
| .44628710262841947420398014401143882423650, .6400000000000000000000000000000000000000, |
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| .46117571512217014895185229761409573256980, .6305418719211822660098522167487684729064, |
| .46363574096303250549055974261136725544930, .6289926289926289926289926289926289926290, |
| .46608972992459918316399125615134835243230, .6274509803921568627450980392156862745098, |
| .46853771156323925639597405279346276074650, .6259168704156479217603911980440097799511, |
| .47097971521879100631480241645476780831830, .6243902439024390243902439024390243902439, |
| .47341577001667212165614273544633761048330, .6228710462287104622871046228710462287105, |
| .47584590486996386493601107758877333253630, .6213592233009708737864077669902912621359, |
| .47827014848147025860569669930555392056700, .6198547215496368038740920096852300242131, |
| .48068852934575190261057286988943815231330, .6183574879227053140096618357487922705314, |
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| .49269347544257524607047571407747454941280, .6109785202863961813842482100238663484487, |
| .49507726679785146739476431321236304938800, .6095238095238095238095238095238095238095, |
| .49745538920281889838648226032091770321130, .6080760095011876484560570071258907363420, |
| .49982786955644931126130359189119189977650, .6066350710900473933649289099526066350711, |
| .50219473456671548383667413872899487614650, .6052009456264775413711583924349881796690, |
| .50455601075239520092452494282042607665050, .6037735849056603773584905660377358490566, |
| .50691172444485432801997148999362252652650, .6023529411764705882352941176470588235294, |
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| .51394575110223428282552049495279788970950, .5981308411214953271028037383177570093458, |
| .51627947444845445623684554448118433356300, .5967365967365967365967365967365967365967, |
| .51860776420804555186805373523384332656850, .5953488372093023255813953488372093023256, |
| .52093064562418522900344441950437612831600, .5939675174013921113689095127610208816705, |
| .52324814376454775732838697877014055848100, .5925925925925925925925925925925925925926, |
| .52556028352292727401362526507000438869000, .5912240184757505773672055427251732101617, |
| .52786708962084227803046587723656557500350, .5898617511520737327188940092165898617512, |
| .53016858660912158374145519701414741575700, .5885057471264367816091954022988505747126, |
| .53246479886947173376654518506256863474850, .5871559633027522935779816513761467889908, |
| .53475575061602764748158733709715306758900, .5858123569794050343249427917620137299771, |
| .53704146589688361856929077475797384977350, .5844748858447488584474885844748858447489, |
| .53932196859560876944783558428753167390800, .5831435079726651480637813211845102505695, |
| .54159728243274429804188230264117009937750, .5818181818181818181818181818181818181818, |
| .54386743096728351609669971367111429572100, .5804988662131519274376417233560090702948, |
| .54613243759813556721383065450936555862450, .5791855203619909502262443438914027149321, |
| .54839232556557315767520321969641372561450, .5778781038374717832957110609480812641084, |
| .55064711795266219063194057525834068655950, .5765765765765765765765765765765765765766, |
| .55289683768667763352766542084282264113450, .5752808988764044943820224719101123595506, |
| .55514150754050151093110798683483153581600, .5739910313901345291479820627802690582960, |
| .55738115013400635344709144192165695130850, .5727069351230425055928411633109619686801, |
| .55961578793542265941596269840374588966350, .5714285714285714285714285714285714285714, |
| .56184544326269181269140062795486301183700, .5701559020044543429844097995545657015590, |
| .56407013828480290218436721261241473257550, .5688888888888888888888888888888888888889, |
| .56628989502311577464155334382667206227800, .5676274944567627494456762749445676274945, |
| .56850473535266865532378233183408156037350, .5663716814159292035398230088495575221239, |
| .57071468100347144680739575051120482385150, .5651214128035320088300220750551876379691, |
| .57291975356178548306473885531886480748650, .5638766519823788546255506607929515418502, |
| .57511997447138785144460371157038025558000, .5626373626373626373626373626373626373626, |
| .57731536503482350219940144597785547375700, .5614035087719298245614035087719298245614, |
| .57950594641464214795689713355386629700650, .5601750547045951859956236323851203501094, |
| .58169173963462239562716149521293118596100, .5589519650655021834061135371179039301310, |
| .58387276558098266665552955601015128195300, .5577342047930283224400871459694989106754, |
| .58604904500357812846544902640744112432000, .5565217391304347826086956521739130434783, |
| .58822059851708596855957011939608491957200, .5553145336225596529284164859002169197397, |
| .59038744660217634674381770309992134571100, .5541125541125541125541125541125541125541, |
| .59254960960667157898740242671919986605650, .5529157667386609071274298056155507559395, |
| .59470710774669277576265358220553025603300, .5517241379310344827586206896551724137931, |
| .59685996110779382384237123915227130055450, .5505376344086021505376344086021505376344, |
| .59900818964608337768851242799428291618800, .5493562231759656652360515021459227467811, |
| .60115181318933474940990890900138765573500, .5481798715203426124197002141327623126338, |
| .60329085143808425240052883964381180703650, .5470085470085470085470085470085470085470, |
| .60542532396671688843525771517306566238400, .5458422174840085287846481876332622601279, |
| .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. */ |
