/*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 #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, 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.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. */