mirror of
https://github.com/opencv/opencv.git
synced 2026-07-26 22:03:04 +04:00
Alexander Smorkalov
2050 lines
80 KiB
C++
2050 lines
80 KiB
C++
/*M///////////////////////////////////////////////////////////////////////////////////////
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//
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// IMPORTANT: READ BEFORE DOWNLOADING, COPYING, INSTALLING OR USING.
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//
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// By downloading, copying, installing or using the software you agree to this license.
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// If you do not agree to this license, do not download, install,
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// copy or use the software.
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//
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//
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// License Agreement
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// For Open Source Computer Vision Library
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//
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// Copyright (C) 2000-2008, Intel Corporation, all rights reserved.
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// Copyright (C) 2009-2011, Willow Garage Inc., all rights reserved.
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// Copyright (C) 2014-2015, Itseez Inc., all rights reserved.
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// Third party copyrights are property of their respective owners.
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//
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// Redistribution and use in source and binary forms, with or without modification,
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// are permitted provided that the following conditions are met:
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//
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// * Redistribution's of source code must retain the above copyright notice,
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// this list of conditions and the following disclaimer.
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//
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// * Redistribution's in binary form must reproduce the above copyright notice,
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// this list of conditions and the following disclaimer in the documentation
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// and/or other materials provided with the distribution.
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//
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// * The name of the copyright holders may not be used to endorse or promote products
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// derived from this software without specific prior written permission.
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//
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// This software is provided by the copyright holders and contributors "as is" and
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// any express or implied warranties, including, but not limited to, the implied
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// warranties of merchantability and fitness for a particular purpose are disclaimed.
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// In no event shall the Intel Corporation or contributors be liable for any direct,
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// indirect, incidental, special, exemplary, or consequential damages
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// (including, but not limited to, procurement of substitute goods or services;
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// loss of use, data, or profits; or business interruption) however caused
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// and on any theory of liability, whether in contract, strict liability,
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// or tort (including negligence or otherwise) arising in any way out of
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// the use of this software, even if advised of the possibility of such damage.
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//
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//M*/
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#include "precomp.hpp"
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#include "opencl_kernels_core.hpp"
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#include <atomic>
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#include <limits>
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#include <iostream>
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#include <algorithm>
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#include <cmath>
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#include "mathfuncs.hpp"
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namespace cv
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{
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typedef void (*MathFunc)(const void* src, void* dst, int len);
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#ifdef HAVE_OPENCL
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enum { OCL_OP_LOG=0, OCL_OP_EXP=1, OCL_OP_MAG=2, OCL_OP_PHASE_DEGREES=3, OCL_OP_PHASE_RADIANS=4 };
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static const char* oclop2str[] = { "OP_LOG", "OP_EXP", "OP_MAG", "OP_PHASE_DEGREES", "OP_PHASE_RADIANS", 0 };
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static bool ocl_math_op(InputArray _src1, InputArray _src2, OutputArray _dst, int oclop)
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{
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int type = _src1.type(), depth = CV_MAT_DEPTH(type), cn = CV_MAT_CN(type);
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int kercn = oclop == OCL_OP_PHASE_DEGREES ||
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oclop == OCL_OP_PHASE_RADIANS ? 1 : ocl::predictOptimalVectorWidth(_src1, _src2, _dst);
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const ocl::Device d = ocl::Device::getDefault();
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bool double_support = d.doubleFPConfig() > 0;
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if (!double_support && depth == CV_64F)
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return false;
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int rowsPerWI = d.isIntel() ? 4 : 1;
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ocl::Kernel k("KF", ocl::core::arithm_oclsrc,
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format("-D %s -D %s -D dstT=%s -D DEPTH_dst=%d -D rowsPerWI=%d%s", _src2.empty() ? "UNARY_OP" : "BINARY_OP",
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oclop2str[oclop], ocl::typeToStr(CV_MAKE_TYPE(depth, kercn)), depth, rowsPerWI,
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double_support ? " -D DOUBLE_SUPPORT" : ""));
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if (k.empty())
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return false;
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UMat src1 = _src1.getUMat(), src2 = _src2.getUMat();
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_dst.createSameSize(src1, type);
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UMat dst = _dst.getUMat();
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ocl::KernelArg src1arg = ocl::KernelArg::ReadOnlyNoSize(src1),
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src2arg = ocl::KernelArg::ReadOnlyNoSize(src2),
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dstarg = ocl::KernelArg::WriteOnly(dst, cn, kercn);
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if (src2.empty())
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k.args(src1arg, dstarg);
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else
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k.args(src1arg, src2arg, dstarg);
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size_t globalsize[] = { (size_t)src1.cols * cn / kercn, ((size_t)src1.rows + rowsPerWI - 1) / rowsPerWI };
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return k.run(2, globalsize, 0, false);
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}
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#endif
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/* ************************************************************************** *\
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Fast cube root by Ken Turkowski
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(http://www.worldserver.com/turk/computergraphics/papers.html)
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\* ************************************************************************** */
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float cubeRoot( float value )
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{
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CV_INSTRUMENT_REGION();
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float fr;
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Cv32suf v, m;
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int ix, s;
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int ex, shx;
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v.f = value;
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ix = v.i & 0x7fffffff;
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s = v.i & 0x80000000;
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ex = (ix >> 23) - 127;
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shx = ex % 3;
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shx -= shx >= 0 ? 3 : 0;
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ex = (ex - shx) / 3; /* exponent of cube root */
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v.i = (ix & ((1<<23)-1)) | ((shx + 127)<<23);
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fr = v.f;
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/* 0.125 <= fr < 1.0 */
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/* Use quartic rational polynomial with error < 2^(-24) */
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fr = (float)(((((45.2548339756803022511987494 * fr +
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192.2798368355061050458134625) * fr +
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119.1654824285581628956914143) * fr +
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13.43250139086239872172837314) * fr +
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0.1636161226585754240958355063)/
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((((14.80884093219134573786480845 * fr +
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151.9714051044435648658557668) * fr +
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168.5254414101568283957668343) * fr +
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33.9905941350215598754191872) * fr +
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1.0));
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/* fr *= 2^ex * sign */
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m.f = value;
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v.f = fr;
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v.i = (v.i + (ex << 23) + s) & (m.i*2 != 0 ? -1 : 0);
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return v.f;
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}
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/****************************************************************************************\
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* Cartezian -> Polar *
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\****************************************************************************************/
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void magnitude( InputArray src1, InputArray src2, OutputArray dst )
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{
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CV_INSTRUMENT_REGION();
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int type = src1.type(), depth = src1.depth(), cn = src1.channels();
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CV_Assert( src1.size() == src2.size() && type == src2.type() && (depth == CV_32F || depth == CV_64F));
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CV_OCL_RUN(dst.isUMat() && src1.dims() <= 2 && src2.dims() <= 2,
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ocl_math_op(src1, src2, dst, OCL_OP_MAG))
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Mat X = src1.getMat(), Y = src2.getMat();
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dst.create(X.size, X.type());
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Mat Mag = dst.getMat();
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const Mat* arrays[] = {&X, &Y, &Mag, 0};
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uchar* ptrs[3] = {};
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NAryMatIterator it(arrays, ptrs);
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int len = (int)it.size*cn;
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for( size_t i = 0; i < it.nplanes; i++, ++it )
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{
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if( depth == CV_32F )
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{
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const float *x = (const float*)ptrs[0], *y = (const float*)ptrs[1];
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float *mag = (float*)ptrs[2];
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hal::magnitude32f( x, y, mag, len );
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}
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else
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{
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const double *x = (const double*)ptrs[0], *y = (const double*)ptrs[1];
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double *mag = (double*)ptrs[2];
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hal::magnitude64f( x, y, mag, len );
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}
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}
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}
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void phase( InputArray src1, InputArray src2, OutputArray dst, bool angleInDegrees )
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{
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CV_INSTRUMENT_REGION();
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int type = src1.type(), depth = src1.depth(), cn = src1.channels();
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CV_Assert( src1.size() == src2.size() && type == src2.type() && (depth == CV_32F || depth == CV_64F));
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CV_OCL_RUN(dst.isUMat() && src1.dims() <= 2 && src2.dims() <= 2,
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ocl_math_op(src1, src2, dst, angleInDegrees ? OCL_OP_PHASE_DEGREES : OCL_OP_PHASE_RADIANS))
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Mat X = src1.getMat(), Y = src2.getMat();
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dst.create( X.size, type );
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Mat Angle = dst.getMat();
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const Mat* arrays[] = {&X, &Y, &Angle, 0};
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uchar* ptrs[3] = {};
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NAryMatIterator it(arrays, ptrs);
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int j, total = (int)(it.size*cn), blockSize = total;
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size_t esz1 = X.elemSize1();
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for( size_t i = 0; i < it.nplanes; i++, ++it )
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{
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for( j = 0; j < total; j += blockSize )
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{
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int len = std::min(total - j, blockSize);
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if( depth == CV_32F )
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{
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const float *x = (const float*)ptrs[0], *y = (const float*)ptrs[1];
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float *angle = (float*)ptrs[2];
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hal::fastAtan32f( y, x, angle, len, angleInDegrees );
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}
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else
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{
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const double *x = (const double*)ptrs[0], *y = (const double*)ptrs[1];
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double *angle = (double*)ptrs[2];
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hal::fastAtan64f(y, x, angle, len, angleInDegrees);
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}
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ptrs[0] += len*esz1;
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ptrs[1] += len*esz1;
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ptrs[2] += len*esz1;
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}
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}
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}
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#ifdef HAVE_OPENCL
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static bool ocl_cartToPolar( InputArray _src1, InputArray _src2,
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OutputArray _dst1, OutputArray _dst2, bool angleInDegrees )
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{
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const ocl::Device & d = ocl::Device::getDefault();
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int type = _src1.type(), depth = CV_MAT_DEPTH(type), cn = CV_MAT_CN(type),
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rowsPerWI = d.isIntel() ? 4 : 1;
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bool doubleSupport = d.doubleFPConfig() > 0;
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const bool _src1IsDstMag = (_src1.getObj() == _dst1.getObj());
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const bool _src1IsDstAngle = (_src1.getObj() == _dst2.getObj());
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const bool _src2IsDstMag = (_src2.getObj() == _dst1.getObj());
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const bool _src2IsDstAngle = (_src2.getObj() == _dst2.getObj());
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if ( !(_src1.dims() <= 2 && _src2.dims() <= 2 &&
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(depth == CV_32F || depth == CV_64F) && type == _src2.type()) ||
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(depth == CV_64F && !doubleSupport) )
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return false;
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ocl::Kernel k("KF", ocl::core::arithm_oclsrc,
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format("-D BINARY_OP -D dstT=%s -D DEPTH_dst=%d -D rowsPerWI=%d -D OP_CTP_%s%s%s%s%s%s",
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ocl::typeToStr(CV_MAKE_TYPE(depth, 1)), depth,
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rowsPerWI, angleInDegrees ? "AD" : "AR",
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doubleSupport ? " -D DOUBLE_SUPPORT" : "",
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_src1IsDstMag ? " -D SRC1_IS_DST_MAG" : "",
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_src1IsDstAngle ? " -D SRC1_IS_DST_ANGLE" : "",
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_src2IsDstMag ? " -D SRC2_IS_DST_MAG" : "",
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_src2IsDstAngle ? " -D SRC2_IS_DST_ANGLE" : ""
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));
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if (k.empty())
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return false;
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UMat src1 = _src1.getUMat(), src2 = _src2.getUMat();
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Size size = src1.size();
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CV_Assert( size == src2.size() );
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_dst1.create(size, type);
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_dst2.create(size, type);
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UMat dst1 = _dst1.getUMat(), dst2 = _dst2.getUMat();
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k.args(_src1IsDstMag || _src1IsDstAngle ? ocl::KernelArg::ReadWriteNoSize(src1) : ocl::KernelArg::ReadOnlyNoSize(src1),
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_src2IsDstMag || _src2IsDstAngle ? ocl::KernelArg::ReadWriteNoSize(src2) : ocl::KernelArg::ReadOnlyNoSize(src2),
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ocl::KernelArg::WriteOnly(dst1, cn),
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ocl::KernelArg::WriteOnlyNoSize(dst2));
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size_t globalsize[2] = { (size_t)dst1.cols * cn, ((size_t)dst1.rows + rowsPerWI - 1) / rowsPerWI };
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return k.run(2, globalsize, NULL, false);
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}
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#endif
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void cartToPolar( InputArray src1, InputArray src2,
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OutputArray dst1, OutputArray dst2, bool angleInDegrees )
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{
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CV_INSTRUMENT_REGION();
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CV_Assert(dst1.getObj() != dst2.getObj());
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CV_OCL_RUN(dst1.isUMat() && dst2.isUMat(),
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ocl_cartToPolar(src1, src2, dst1, dst2, angleInDegrees))
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Mat X = src1.getMat(), Y = src2.getMat();
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int type = X.type(), depth = X.depth(), cn = X.channels();
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CV_Assert( X.size == Y.size && type == Y.type() && (depth == CV_32F || depth == CV_64F));
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dst1.create( X.size, type );
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dst2.create( X.size, type );
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Mat Mag = dst1.getMat(), Angle = dst2.getMat();
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const Mat* arrays[] = {&X, &Y, &Mag, &Angle, 0};
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uchar* ptrs[4] = {};
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NAryMatIterator it(arrays, ptrs);
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int j, total = (int)(it.size*cn), blockSize = std::min(total, ((BLOCK_SIZE+cn-1)/cn)*cn);
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size_t esz1 = X.elemSize1();
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for( size_t i = 0; i < it.nplanes; i++, ++it )
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{
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for( j = 0; j < total; j += blockSize )
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{
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int len = std::min(total - j, blockSize);
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if( depth == CV_32F )
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{
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const float *x = (const float*)ptrs[0], *y = (const float*)ptrs[1];
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float *mag = (float*)ptrs[2], *angle = (float*)ptrs[3];
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hal::cartToPolar32f( x, y, mag, angle, len, angleInDegrees );
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}
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else
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{
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const double *x = (const double*)ptrs[0], *y = (const double*)ptrs[1];
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double *mag = (double*)ptrs[2], *angle = (double*)ptrs[3];
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hal::cartToPolar64f(x, y, mag, angle, len, angleInDegrees);
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}
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ptrs[0] += len*esz1;
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ptrs[1] += len*esz1;
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ptrs[2] += len*esz1;
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ptrs[3] += len*esz1;
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}
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}
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}
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/****************************************************************************************\
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* Polar -> Cartezian *
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\****************************************************************************************/
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#ifdef HAVE_OPENCL
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static bool ocl_polarToCart( InputArray _mag, InputArray _angle,
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OutputArray _dst1, OutputArray _dst2, bool angleInDegrees )
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{
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const ocl::Device & d = ocl::Device::getDefault();
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int type = _angle.type(), depth = CV_MAT_DEPTH(type), cn = CV_MAT_CN(type),
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rowsPerWI = d.isIntel() ? 4 : 1;
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bool doubleSupport = d.doubleFPConfig() > 0;
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const bool _src1IsDstX = (_mag.getObj() == _dst1.getObj());
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const bool _src1IsDstY = (_mag.getObj() == _dst2.getObj());
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const bool _src2IsDstX = (_angle.getObj() == _dst1.getObj());
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const bool _src2IsDstY = (_angle.getObj() == _dst2.getObj());
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if ( !doubleSupport && depth == CV_64F )
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return false;
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ocl::Kernel k("KF", ocl::core::arithm_oclsrc,
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format("-D dstT=%s -D DEPTH_dst=%d -D rowsPerWI=%d -D BINARY_OP -D OP_PTC_%s%s%s%s%s%s",
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ocl::typeToStr(CV_MAKE_TYPE(depth, 1)), depth,
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rowsPerWI,
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angleInDegrees ? "AD" : "AR",
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doubleSupport ? " -D DOUBLE_SUPPORT" : "",
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_src1IsDstX ? " -D SRC1_IS_DST_X" : "",
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_src1IsDstY ? " -D SRC1_IS_DST_Y" : "",
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_src2IsDstX ? " -D SRC2_IS_DST_X" : "",
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_src2IsDstY ? " -D SRC2_IS_DST_Y" : ""));
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if (k.empty())
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return false;
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UMat mag = _mag.getUMat(), angle = _angle.getUMat();
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Size size = angle.size();
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CV_Assert(mag.size() == size);
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_dst1.create(size, type);
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_dst2.create(size, type);
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UMat dst1 = _dst1.getUMat(), dst2 = _dst2.getUMat();
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k.args(_src1IsDstX || _src1IsDstY ? ocl::KernelArg::ReadWriteNoSize(mag) : ocl::KernelArg::ReadOnlyNoSize(mag),
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_src2IsDstX || _src2IsDstY ? ocl::KernelArg::ReadWriteNoSize(angle) : ocl::KernelArg::ReadOnlyNoSize(angle),
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ocl::KernelArg::WriteOnly(dst1, cn),
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ocl::KernelArg::WriteOnlyNoSize(dst2));
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size_t globalsize[2] = { (size_t)dst1.cols * cn, ((size_t)dst1.rows + rowsPerWI - 1) / rowsPerWI };
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return k.run(2, globalsize, NULL, false);
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}
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#endif
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void polarToCart( InputArray src1, InputArray src2,
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OutputArray dst1, OutputArray dst2, bool angleInDegrees )
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{
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CV_INSTRUMENT_REGION();
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CV_Assert(dst1.getObj() != dst2.getObj());
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int type = src2.type(), depth = CV_MAT_DEPTH(type), cn = CV_MAT_CN(type);
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CV_Assert((depth == CV_32F || depth == CV_64F) && (src1.empty() || src1.type() == type));
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CV_OCL_RUN(!src1.empty() && src2.dims() <= 2 && dst1.isUMat() && dst2.isUMat(),
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ocl_polarToCart(src1, src2, dst1, dst2, angleInDegrees))
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Mat Mag = src1.getMat(), Angle = src2.getMat();
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CV_Assert( Mag.empty() || Angle.size == Mag.size);
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dst1.create( Angle.size, type );
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dst2.create( Angle.size, type );
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Mat X = dst1.getMat(), Y = dst2.getMat();
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const Mat* arrays[] = {&Mag, &Angle, &X, &Y, 0};
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uchar* ptrs[4] = {};
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NAryMatIterator it(arrays, ptrs);
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int j, total = (int)(it.size*cn), blockSize = std::min(total, ((BLOCK_SIZE+cn-1)/cn)*cn);
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size_t esz1 = Angle.elemSize1();
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for( size_t i = 0; i < it.nplanes; i++, ++it )
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{
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for( j = 0; j < total; j += blockSize )
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{
|
|
int len = std::min(total - j, blockSize);
|
|
if ( depth == CV_32F )
|
|
{
|
|
const float *mag = (const float*)ptrs[0], *angle = (const float*)ptrs[1];
|
|
float *x = (float*)ptrs[2], *y = (float*)ptrs[3];
|
|
hal::polarToCart32f( mag, angle, x, y, len, angleInDegrees );
|
|
}
|
|
else
|
|
{
|
|
const double *mag = (const double*)ptrs[0], *angle = (const double*)ptrs[1];
|
|
double *x = (double*)ptrs[2], *y = (double*)ptrs[3];
|
|
hal::polarToCart64f( mag, angle, x, y, len, angleInDegrees );
|
|
}
|
|
|
|
if( ptrs[0] )
|
|
ptrs[0] += len*esz1;
|
|
ptrs[1] += len*esz1;
|
|
ptrs[2] += len*esz1;
|
|
ptrs[3] += len*esz1;
|
|
}
|
|
}
|
|
}
|
|
|
|
/****************************************************************************************\
|
|
* E X P *
|
|
\****************************************************************************************/
|
|
|
|
void exp( InputArray _src, OutputArray _dst )
|
|
{
|
|
CV_INSTRUMENT_REGION();
|
|
|
|
int type = _src.type(), depth = _src.depth(), cn = _src.channels();
|
|
CV_Assert( depth == CV_32F || depth == CV_64F );
|
|
|
|
CV_OCL_RUN(_dst.isUMat() && _src.dims() <= 2,
|
|
ocl_math_op(_src, noArray(), _dst, OCL_OP_EXP))
|
|
|
|
Mat src = _src.getMat();
|
|
_dst.create( src.size, type );
|
|
Mat dst = _dst.getMat();
|
|
|
|
const Mat* arrays[] = {&src, &dst, 0};
|
|
uchar* ptrs[2] = {};
|
|
NAryMatIterator it(arrays, ptrs);
|
|
int len = (int)(it.size*cn);
|
|
|
|
for( size_t i = 0; i < it.nplanes; i++, ++it )
|
|
{
|
|
if( depth == CV_32F )
|
|
hal::exp32f((const float*)ptrs[0], (float*)ptrs[1], len);
|
|
else
|
|
hal::exp64f((const double*)ptrs[0], (double*)ptrs[1], len);
|
|
}
|
|
}
|
|
|
|
|
|
/****************************************************************************************\
|
|
* L O G *
|
|
\****************************************************************************************/
|
|
|
|
void log( InputArray _src, OutputArray _dst )
|
|
{
|
|
CV_INSTRUMENT_REGION();
|
|
|
|
int type = _src.type(), depth = _src.depth(), cn = _src.channels();
|
|
CV_Assert( depth == CV_32F || depth == CV_64F );
|
|
|
|
CV_OCL_RUN( _dst.isUMat() && _src.dims() <= 2,
|
|
ocl_math_op(_src, noArray(), _dst, OCL_OP_LOG))
|
|
|
|
Mat src = _src.getMat();
|
|
_dst.create( src.size, type );
|
|
Mat dst = _dst.getMat();
|
|
|
|
const Mat* arrays[] = {&src, &dst, 0};
|
|
uchar* ptrs[2] = {};
|
|
NAryMatIterator it(arrays, ptrs);
|
|
int len = (int)(it.size*cn);
|
|
|
|
for( size_t i = 0; i < it.nplanes; i++, ++it )
|
|
{
|
|
if( depth == CV_32F )
|
|
hal::log32f( (const float*)ptrs[0], (float*)ptrs[1], len );
|
|
else
|
|
hal::log64f( (const double*)ptrs[0], (double*)ptrs[1], len );
|
|
}
|
|
}
|
|
|
|
/****************************************************************************************\
|
|
* P O W E R *
|
|
\****************************************************************************************/
|
|
|
|
template <typename T, typename WT>
|
|
struct iPow_SIMD
|
|
{
|
|
int operator() ( const T *, T *, int, int)
|
|
{
|
|
return 0;
|
|
}
|
|
};
|
|
|
|
#if (CV_SIMD || CV_SIMD_SCALABLE)
|
|
|
|
template <>
|
|
struct iPow_SIMD<uchar, unsigned>
|
|
{
|
|
int operator() ( const uchar * src, uchar * dst, int len, int power )
|
|
{
|
|
int i = 0;
|
|
v_uint32 v_1 = vx_setall_u32(1u);
|
|
|
|
for ( ; i <= len - VTraits<v_uint16>::vlanes(); i += VTraits<v_uint16>::vlanes())
|
|
{
|
|
v_uint32 v_a1 = v_1, v_a2 = v_1;
|
|
v_uint16 v = vx_load_expand(src + i);
|
|
v_uint32 v_b1, v_b2;
|
|
v_expand(v, v_b1, v_b2);
|
|
int p = power;
|
|
|
|
while( p > 1 )
|
|
{
|
|
if (p & 1)
|
|
{
|
|
v_a1 = v_mul(v_a1, v_b1);
|
|
v_a2 = v_mul(v_a2, v_b2);
|
|
}
|
|
v_b1 = v_mul(v_b1, v_b1);
|
|
v_b2 = v_mul(v_b2, v_b2);
|
|
p >>= 1;
|
|
}
|
|
|
|
v_a1 = v_mul(v_a1, v_b1);
|
|
v_a2 = v_mul(v_a2, v_b2);
|
|
|
|
v = v_pack(v_a1, v_a2);
|
|
v_pack_store(dst + i, v);
|
|
}
|
|
vx_cleanup();
|
|
|
|
return i;
|
|
}
|
|
};
|
|
|
|
template <>
|
|
struct iPow_SIMD<schar, int>
|
|
{
|
|
int operator() ( const schar * src, schar * dst, int len, int power)
|
|
{
|
|
int i = 0;
|
|
v_int32 v_1 = vx_setall_s32(1);
|
|
|
|
for ( ; i <= len - VTraits<v_int16>::vlanes(); i += VTraits<v_int16>::vlanes())
|
|
{
|
|
v_int32 v_a1 = v_1, v_a2 = v_1;
|
|
v_int16 v = vx_load_expand(src + i);
|
|
v_int32 v_b1, v_b2;
|
|
v_expand(v, v_b1, v_b2);
|
|
int p = power;
|
|
|
|
while( p > 1 )
|
|
{
|
|
if (p & 1)
|
|
{
|
|
v_a1 = v_mul(v_a1, v_b1);
|
|
v_a2 = v_mul(v_a2, v_b2);
|
|
}
|
|
v_b1 = v_mul(v_b1, v_b1);
|
|
v_b2 = v_mul(v_b2, v_b2);
|
|
p >>= 1;
|
|
}
|
|
|
|
v_a1 = v_mul(v_a1, v_b1);
|
|
v_a2 = v_mul(v_a2, v_b2);
|
|
|
|
v = v_pack(v_a1, v_a2);
|
|
v_pack_store(dst + i, v);
|
|
}
|
|
vx_cleanup();
|
|
|
|
return i;
|
|
}
|
|
};
|
|
|
|
template <>
|
|
struct iPow_SIMD<ushort, unsigned>
|
|
{
|
|
int operator() ( const ushort * src, ushort * dst, int len, int power)
|
|
{
|
|
int i = 0;
|
|
v_uint32 v_1 = vx_setall_u32(1u);
|
|
|
|
for ( ; i <= len - VTraits<v_uint16>::vlanes(); i += VTraits<v_uint16>::vlanes())
|
|
{
|
|
v_uint32 v_a1 = v_1, v_a2 = v_1;
|
|
v_uint16 v = vx_load(src + i);
|
|
v_uint32 v_b1, v_b2;
|
|
v_expand(v, v_b1, v_b2);
|
|
int p = power;
|
|
|
|
while( p > 1 )
|
|
{
|
|
if (p & 1)
|
|
{
|
|
v_a1 = v_mul(v_a1, v_b1);
|
|
v_a2 = v_mul(v_a2, v_b2);
|
|
}
|
|
v_b1 = v_mul(v_b1, v_b1);
|
|
v_b2 = v_mul(v_b2, v_b2);
|
|
p >>= 1;
|
|
}
|
|
|
|
v_a1 = v_mul(v_a1, v_b1);
|
|
v_a2 = v_mul(v_a2, v_b2);
|
|
|
|
v = v_pack(v_a1, v_a2);
|
|
v_store(dst + i, v);
|
|
}
|
|
vx_cleanup();
|
|
|
|
return i;
|
|
}
|
|
};
|
|
|
|
template <>
|
|
struct iPow_SIMD<short, int>
|
|
{
|
|
int operator() ( const short * src, short * dst, int len, int power)
|
|
{
|
|
int i = 0;
|
|
v_int32 v_1 = vx_setall_s32(1);
|
|
|
|
for ( ; i <= len - VTraits<v_int16>::vlanes(); i += VTraits<v_int16>::vlanes())
|
|
{
|
|
v_int32 v_a1 = v_1, v_a2 = v_1;
|
|
v_int16 v = vx_load(src + i);
|
|
v_int32 v_b1, v_b2;
|
|
v_expand(v, v_b1, v_b2);
|
|
int p = power;
|
|
|
|
while( p > 1 )
|
|
{
|
|
if (p & 1)
|
|
{
|
|
v_a1 = v_mul(v_a1, v_b1);
|
|
v_a2 = v_mul(v_a2, v_b2);
|
|
}
|
|
v_b1 = v_mul(v_b1, v_b1);
|
|
v_b2 = v_mul(v_b2, v_b2);
|
|
p >>= 1;
|
|
}
|
|
|
|
v_a1 = v_mul(v_a1, v_b1);
|
|
v_a2 = v_mul(v_a2, v_b2);
|
|
|
|
v = v_pack(v_a1, v_a2);
|
|
v_store(dst + i, v);
|
|
}
|
|
vx_cleanup();
|
|
|
|
return i;
|
|
}
|
|
};
|
|
|
|
template <>
|
|
struct iPow_SIMD<int, int>
|
|
{
|
|
int operator() ( const int * src, int * dst, int len, int power)
|
|
{
|
|
int i = 0;
|
|
v_int32 v_1 = vx_setall_s32(1);
|
|
|
|
for ( ; i <= len - VTraits<v_int32>::vlanes()*2; i += VTraits<v_int32>::vlanes()*2)
|
|
{
|
|
v_int32 v_a1 = v_1, v_a2 = v_1;
|
|
v_int32 v_b1 = vx_load(src + i), v_b2 = vx_load(src + i + VTraits<v_int32>::vlanes());
|
|
int p = power;
|
|
|
|
while( p > 1 )
|
|
{
|
|
if (p & 1)
|
|
{
|
|
v_a1 = v_mul(v_a1, v_b1);
|
|
v_a2 = v_mul(v_a2, v_b2);
|
|
}
|
|
v_b1 = v_mul(v_b1, v_b1);
|
|
v_b2 = v_mul(v_b2, v_b2);
|
|
p >>= 1;
|
|
}
|
|
|
|
v_a1 = v_mul(v_a1, v_b1);
|
|
v_a2 = v_mul(v_a2, v_b2);
|
|
|
|
v_store(dst + i, v_a1);
|
|
v_store(dst + i + VTraits<v_int32>::vlanes(), v_a2);
|
|
}
|
|
vx_cleanup();
|
|
|
|
return i;
|
|
}
|
|
};
|
|
|
|
template <>
|
|
struct iPow_SIMD<float, float>
|
|
{
|
|
int operator() ( const float * src, float * dst, int len, int power)
|
|
{
|
|
int i = 0;
|
|
v_float32 v_1 = vx_setall_f32(1.f);
|
|
|
|
for ( ; i <= len - VTraits<v_float32>::vlanes()*2; i += VTraits<v_float32>::vlanes()*2)
|
|
{
|
|
v_float32 v_a1 = v_1, v_a2 = v_1;
|
|
v_float32 v_b1 = vx_load(src + i), v_b2 = vx_load(src + i + VTraits<v_float32>::vlanes());
|
|
int p = std::abs(power);
|
|
if( power < 0 )
|
|
{
|
|
v_b1 = v_div(v_1, v_b1);
|
|
v_b2 = v_div(v_1, v_b2);
|
|
}
|
|
|
|
while( p > 1 )
|
|
{
|
|
if (p & 1)
|
|
{
|
|
v_a1 = v_mul(v_a1, v_b1);
|
|
v_a2 = v_mul(v_a2, v_b2);
|
|
}
|
|
v_b1 = v_mul(v_b1, v_b1);
|
|
v_b2 = v_mul(v_b2, v_b2);
|
|
p >>= 1;
|
|
}
|
|
|
|
v_a1 = v_mul(v_a1, v_b1);
|
|
v_a2 = v_mul(v_a2, v_b2);
|
|
|
|
v_store(dst + i, v_a1);
|
|
v_store(dst + i + VTraits<v_float32>::vlanes(), v_a2);
|
|
}
|
|
vx_cleanup();
|
|
|
|
return i;
|
|
}
|
|
};
|
|
|
|
#if (CV_SIMD_64F || CV_SIMD_SCALABLE_64F)
|
|
template <>
|
|
struct iPow_SIMD<double, double>
|
|
{
|
|
int operator() ( const double * src, double * dst, int len, int power)
|
|
{
|
|
int i = 0;
|
|
v_float64 v_1 = vx_setall_f64(1.);
|
|
|
|
for ( ; i <= len - VTraits<v_float64>::vlanes()*2; i += VTraits<v_float64>::vlanes()*2)
|
|
{
|
|
v_float64 v_a1 = v_1, v_a2 = v_1;
|
|
v_float64 v_b1 = vx_load(src + i), v_b2 = vx_load(src + i + VTraits<v_float64>::vlanes());
|
|
int p = std::abs(power);
|
|
if( power < 0 )
|
|
{
|
|
v_b1 = v_div(v_1, v_b1);
|
|
v_b2 = v_div(v_1, v_b2);
|
|
}
|
|
|
|
while( p > 1 )
|
|
{
|
|
if (p & 1)
|
|
{
|
|
v_a1 = v_mul(v_a1, v_b1);
|
|
v_a2 = v_mul(v_a2, v_b2);
|
|
}
|
|
v_b1 = v_mul(v_b1, v_b1);
|
|
v_b2 = v_mul(v_b2, v_b2);
|
|
p >>= 1;
|
|
}
|
|
|
|
v_a1 = v_mul(v_a1, v_b1);
|
|
v_a2 = v_mul(v_a2, v_b2);
|
|
|
|
v_store(dst + i, v_a1);
|
|
v_store(dst + i + VTraits<v_float64>::vlanes(), v_a2);
|
|
}
|
|
vx_cleanup();
|
|
|
|
return i;
|
|
}
|
|
};
|
|
#endif
|
|
|
|
#endif
|
|
|
|
template<typename T, typename WT>
|
|
static void
|
|
iPow_i( const T* src, T* dst, int len, int power )
|
|
{
|
|
if( power < 0 )
|
|
{
|
|
T tab[5] =
|
|
{
|
|
saturate_cast<T>(power == -1 ? -1 : 0), saturate_cast<T>((power & 1) ? -1 : 1),
|
|
std::numeric_limits<T>::max(), 1, saturate_cast<T>(power == -1 ? 1 : 0)
|
|
};
|
|
for( int i = 0; i < len; i++ )
|
|
{
|
|
T val = src[i];
|
|
dst[i] = cv_abs(val) <= 2 ? tab[val + 2] : (T)0;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
iPow_SIMD<T, WT> vop;
|
|
int i = vop(src, dst, len, power);
|
|
|
|
for( ; i < len; i++ )
|
|
{
|
|
WT a = 1, b = src[i];
|
|
int p = power;
|
|
while( p > 1 )
|
|
{
|
|
if( p & 1 )
|
|
a *= b;
|
|
b *= b;
|
|
p >>= 1;
|
|
}
|
|
|
|
a *= b;
|
|
dst[i] = saturate_cast<T>(a);
|
|
}
|
|
}
|
|
}
|
|
|
|
template<typename T>
|
|
static void
|
|
iPow_f( const T* src, T* dst, int len, int power0 )
|
|
{
|
|
iPow_SIMD<T, T> vop;
|
|
int i = vop(src, dst, len, power0);
|
|
int power = std::abs(power0);
|
|
|
|
for( ; i < len; i++ )
|
|
{
|
|
T a = 1, b = src[i];
|
|
int p = power;
|
|
if( power0 < 0 )
|
|
b = 1/b;
|
|
|
|
while( p > 1 )
|
|
{
|
|
if( p & 1 )
|
|
a *= b;
|
|
b *= b;
|
|
p >>= 1;
|
|
}
|
|
|
|
a *= b;
|
|
dst[i] = a;
|
|
}
|
|
}
|
|
|
|
static void iPow8u(const uchar* src, uchar* dst, int len, int power)
|
|
{
|
|
iPow_i<uchar, unsigned>(src, dst, len, power);
|
|
}
|
|
|
|
static void iPow8s(const schar* src, schar* dst, int len, int power)
|
|
{
|
|
iPow_i<schar, int>(src, dst, len, power);
|
|
}
|
|
|
|
static void iPow16u(const ushort* src, ushort* dst, int len, int power)
|
|
{
|
|
iPow_i<ushort, unsigned>(src, dst, len, power);
|
|
}
|
|
|
|
static void iPow16s(const short* src, short* dst, int len, int power)
|
|
{
|
|
iPow_i<short, int>(src, dst, len, power);
|
|
}
|
|
|
|
static void iPow32s(const int* src, int* dst, int len, int power)
|
|
{
|
|
iPow_i<int, int>(src, dst, len, power);
|
|
}
|
|
|
|
static void iPow32f(const float* src, float* dst, int len, int power)
|
|
{
|
|
iPow_f<float>(src, dst, len, power);
|
|
}
|
|
|
|
static void iPow64f(const double* src, double* dst, int len, int power)
|
|
{
|
|
iPow_f<double>(src, dst, len, power);
|
|
}
|
|
|
|
|
|
typedef void (*IPowFunc)( const uchar* src, uchar* dst, int len, int power );
|
|
|
|
static IPowFunc ipowTab[CV_DEPTH_MAX] =
|
|
{
|
|
(IPowFunc)iPow8u, (IPowFunc)iPow8s, (IPowFunc)iPow16u, (IPowFunc)iPow16s,
|
|
(IPowFunc)iPow32s, (IPowFunc)iPow32f, (IPowFunc)iPow64f, 0
|
|
};
|
|
|
|
#ifdef HAVE_OPENCL
|
|
|
|
static bool ocl_pow(InputArray _src, double power, OutputArray _dst,
|
|
bool is_ipower, int ipower)
|
|
{
|
|
const ocl::Device & d = ocl::Device::getDefault();
|
|
int type = _src.type(), depth = CV_MAT_DEPTH(type), cn = CV_MAT_CN(type),
|
|
rowsPerWI = d.isIntel() ? 4 : 1;
|
|
bool doubleSupport = d.doubleFPConfig() > 0;
|
|
|
|
_dst.createSameSize(_src, type);
|
|
if (is_ipower)
|
|
{
|
|
if( ipower < 0 )
|
|
{
|
|
if( depth == CV_32F || depth == CV_64F )
|
|
is_ipower = false;
|
|
else
|
|
return false;
|
|
}
|
|
}
|
|
|
|
if (depth == CV_64F && !doubleSupport)
|
|
return false;
|
|
|
|
bool issqrt = std::abs(power - 0.5) < DBL_EPSILON;
|
|
const char * const op = issqrt ? "OP_SQRT" : is_ipower ? "OP_POWN" : "OP_POW";
|
|
|
|
// Note: channels are unrolled
|
|
|
|
std::string extra_opts ="";
|
|
if (is_ipower)
|
|
{
|
|
int wdepth = CV_32F;
|
|
if (depth == CV_64F)
|
|
wdepth = CV_64F;
|
|
else if (depth == CV_16F)
|
|
wdepth = CV_16F;
|
|
|
|
char cvt[2][50];
|
|
extra_opts = format(
|
|
" -D srcT1=%s -DsrcT1_C1=%s"
|
|
" -D srcT2=int -D workST=int"
|
|
" -D workT=%s -D wdepth=%d -D convertToWT1=%s"
|
|
" -D convertToDT=%s"
|
|
" -D workT1=%s",
|
|
ocl::typeToStr(CV_MAKE_TYPE(depth, 1)),
|
|
ocl::typeToStr(CV_MAKE_TYPE(depth, 1)),
|
|
ocl::typeToStr(CV_MAKE_TYPE(wdepth, 1)),
|
|
wdepth,
|
|
ocl::convertTypeStr(depth, wdepth, 1, cvt[0], sizeof(cvt[0])),
|
|
ocl::convertTypeStr(wdepth, depth, 1, cvt[1], sizeof(cvt[1])),
|
|
ocl::typeToStr(wdepth)
|
|
);
|
|
}
|
|
|
|
ocl::Kernel k("KF", ocl::core::arithm_oclsrc,
|
|
format("-D cn=%d -D dstT=%s -D dstT_C1=%s -D DEPTH_dst=%d -D rowsPerWI=%d -D %s%s%s%s",
|
|
1,
|
|
ocl::typeToStr(depth), ocl::typeToStr(depth), depth, rowsPerWI, op,
|
|
" -D UNARY_OP=1",
|
|
extra_opts.empty() ? "" : extra_opts.c_str(),
|
|
doubleSupport ? " -D DOUBLE_SUPPORT" : ""));
|
|
if (k.empty())
|
|
return false;
|
|
|
|
UMat src = _src.getUMat();
|
|
_dst.createSameSize(src, type);
|
|
UMat dst = _dst.getUMat();
|
|
|
|
ocl::KernelArg srcarg = ocl::KernelArg::ReadOnlyNoSize(src),
|
|
dstarg = ocl::KernelArg::WriteOnly(dst, cn);
|
|
|
|
if (issqrt)
|
|
k.args(srcarg, dstarg);
|
|
else if (is_ipower)
|
|
k.args(srcarg, dstarg, ipower);
|
|
else
|
|
{
|
|
if (depth == CV_32F)
|
|
k.args(srcarg, dstarg, (float)power);
|
|
else
|
|
k.args(srcarg, dstarg, power);
|
|
}
|
|
|
|
size_t globalsize[2] = { (size_t)dst.cols * cn, ((size_t)dst.rows + rowsPerWI - 1) / rowsPerWI };
|
|
return k.run(2, globalsize, NULL, false);
|
|
}
|
|
|
|
#endif
|
|
|
|
void pow( InputArray _src, double power, OutputArray _dst )
|
|
{
|
|
CV_INSTRUMENT_REGION();
|
|
|
|
int type = _src.type(), depth = CV_MAT_DEPTH(type),
|
|
cn = CV_MAT_CN(type), ipower = cvRound(power);
|
|
bool is_ipower = fabs(ipower - power) < DBL_EPSILON;
|
|
#ifdef HAVE_OPENCL
|
|
bool useOpenCL = _dst.isUMat() && _src.dims() <= 2;
|
|
#endif
|
|
|
|
if (is_ipower)
|
|
{
|
|
switch( ipower )
|
|
{
|
|
case 0:
|
|
_dst.createSameSize(_src, type);
|
|
_dst.setTo(Scalar::all(1));
|
|
return;
|
|
case 1:
|
|
_src.copyTo(_dst);
|
|
return;
|
|
case 2:
|
|
multiply(_src, _src, _dst);
|
|
return;
|
|
}
|
|
}
|
|
|
|
CV_OCL_RUN(useOpenCL, ocl_pow(_src, power, _dst, is_ipower, ipower))
|
|
|
|
Mat src = _src.getMat();
|
|
_dst.create( src.size, type );
|
|
Mat dst = _dst.getMat();
|
|
|
|
const Mat* arrays[] = {&src, &dst, 0};
|
|
uchar* ptrs[2] = {};
|
|
NAryMatIterator it(arrays, ptrs);
|
|
int len = (int)(it.size*cn);
|
|
|
|
if( is_ipower )
|
|
{
|
|
IPowFunc func = ipowTab[depth];
|
|
CV_Assert( func != 0 );
|
|
|
|
for( size_t i = 0; i < it.nplanes; i++, ++it )
|
|
func( ptrs[0], ptrs[1], len, ipower );
|
|
}
|
|
else if( fabs(fabs(power) - 0.5) < DBL_EPSILON )
|
|
{
|
|
MathFunc func = power < 0 ?
|
|
(depth == CV_32F ? (MathFunc)hal::invSqrt32f : (MathFunc)hal::invSqrt64f) :
|
|
(depth == CV_32F ? (MathFunc)hal::sqrt32f : (MathFunc)hal::sqrt64f);
|
|
|
|
for( size_t i = 0; i < it.nplanes; i++, ++it )
|
|
func( ptrs[0], ptrs[1], len );
|
|
}
|
|
else
|
|
{
|
|
int j, k, blockSize = std::min(len, ((BLOCK_SIZE + cn-1)/cn)*cn);
|
|
size_t esz1 = src.elemSize1();
|
|
AutoBuffer<uchar> buf;
|
|
Cv32suf inf32, nan32;
|
|
Cv64suf inf64, nan64;
|
|
float* fbuf = 0;
|
|
double* dbuf = 0;
|
|
#ifndef __EMSCRIPTEN__
|
|
inf32.i = 0x7f800000;
|
|
nan32.i = 0x7fffffff;
|
|
inf64.i = CV_BIG_INT(0x7FF0000000000000);
|
|
nan64.i = CV_BIG_INT(0x7FFFFFFFFFFFFFFF);
|
|
#else
|
|
inf32.f = std::numeric_limits<float>::infinity();
|
|
nan32.f = std::numeric_limits<float>::quiet_NaN();
|
|
inf64.f = std::numeric_limits<double>::infinity();
|
|
nan64.f = std::numeric_limits<double>::quiet_NaN();
|
|
#endif
|
|
|
|
if( src.ptr() == dst.ptr() )
|
|
{
|
|
buf.allocate(blockSize*esz1);
|
|
fbuf = (float*)buf.data();
|
|
dbuf = (double*)buf.data();
|
|
}
|
|
|
|
for( size_t i = 0; i < it.nplanes; i++, ++it )
|
|
{
|
|
for( j = 0; j < len; j += blockSize )
|
|
{
|
|
int bsz = std::min(len - j, blockSize);
|
|
|
|
if( depth == CV_32F )
|
|
{
|
|
float* x0 = (float*)ptrs[0];
|
|
float* x = fbuf ? fbuf : x0;
|
|
float* y = (float*)ptrs[1];
|
|
|
|
if( x != x0 )
|
|
memcpy(x, x0, bsz*esz1);
|
|
|
|
hal::log32f(x, y, bsz);
|
|
for( k = 0; k < bsz; k++ )
|
|
y[k] = (float)(y[k]*power);
|
|
hal::exp32f(y, y, bsz);
|
|
for( k = 0; k < bsz; k++ )
|
|
{
|
|
if( x0[k] <= 0 )
|
|
{
|
|
if( x0[k] == 0.f )
|
|
{
|
|
if( power < 0 )
|
|
y[k] = inf32.f;
|
|
}
|
|
else
|
|
y[k] = nan32.f;
|
|
}
|
|
}
|
|
}
|
|
else
|
|
{
|
|
double* x0 = (double*)ptrs[0];
|
|
double* x = dbuf ? dbuf : x0;
|
|
double* y = (double*)ptrs[1];
|
|
|
|
if( x != x0 )
|
|
memcpy(x, x0, bsz*esz1);
|
|
|
|
hal::log64f(x, y, bsz);
|
|
for( k = 0; k < bsz; k++ )
|
|
y[k] *= power;
|
|
hal::exp64f(y, y, bsz);
|
|
|
|
for( k = 0; k < bsz; k++ )
|
|
{
|
|
if( x0[k] <= 0 )
|
|
{
|
|
if( x0[k] == 0. )
|
|
{
|
|
if( power < 0 )
|
|
y[k] = inf64.f;
|
|
}
|
|
else
|
|
y[k] = nan64.f;
|
|
}
|
|
}
|
|
}
|
|
ptrs[0] += bsz*esz1;
|
|
ptrs[1] += bsz*esz1;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
void sqrt(InputArray a, OutputArray b)
|
|
{
|
|
CV_INSTRUMENT_REGION();
|
|
|
|
cv::pow(a, 0.5, b);
|
|
}
|
|
|
|
/************************** CheckArray for NaN's, Inf's *********************************/
|
|
|
|
template<int cv_mat_type> struct mat_type_assotiations{};
|
|
|
|
template<> struct mat_type_assotiations<CV_8U>
|
|
{
|
|
typedef unsigned char type;
|
|
static const type min_allowable = 0x0;
|
|
static const type max_allowable = 0xFF;
|
|
};
|
|
|
|
template<> struct mat_type_assotiations<CV_8S>
|
|
{
|
|
typedef signed char type;
|
|
static const type min_allowable = SCHAR_MIN;
|
|
static const type max_allowable = SCHAR_MAX;
|
|
};
|
|
|
|
template<> struct mat_type_assotiations<CV_16U>
|
|
{
|
|
typedef unsigned short type;
|
|
static const type min_allowable = 0x0;
|
|
static const type max_allowable = USHRT_MAX;
|
|
};
|
|
template<> struct mat_type_assotiations<CV_16S>
|
|
{
|
|
typedef signed short type;
|
|
static const type min_allowable = SHRT_MIN;
|
|
static const type max_allowable = SHRT_MAX;
|
|
};
|
|
|
|
template<> struct mat_type_assotiations<CV_32S>
|
|
{
|
|
typedef int type;
|
|
static const type min_allowable = (-INT_MAX - 1);
|
|
static const type max_allowable = INT_MAX;
|
|
};
|
|
|
|
template<int depth>
|
|
static bool checkIntegerRange(cv::Mat src, Point& bad_pt, int minVal, int maxVal)
|
|
{
|
|
typedef mat_type_assotiations<depth> type_ass;
|
|
|
|
if (minVal < type_ass::min_allowable && maxVal > type_ass::max_allowable)
|
|
{
|
|
return true;
|
|
}
|
|
else if (minVal > type_ass::max_allowable || maxVal < type_ass::min_allowable || maxVal < minVal)
|
|
{
|
|
bad_pt = cv::Point(0,0);
|
|
return false;
|
|
}
|
|
cv::Mat as_one_channel = src.reshape(1,0);
|
|
|
|
for (int j = 0; j < as_one_channel.rows; ++j)
|
|
for (int i = 0; i < as_one_channel.cols; ++i)
|
|
{
|
|
typename type_ass::type v = as_one_channel.at<typename type_ass::type>(j ,i);
|
|
if (v < minVal || v > maxVal)
|
|
{
|
|
bad_pt.y = j;
|
|
bad_pt.x = i / src.channels();
|
|
return false;
|
|
}
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
typedef bool (*check_range_function)(cv::Mat src, Point& bad_pt, int minVal, int maxVal);
|
|
|
|
check_range_function check_range_functions[] =
|
|
{
|
|
&checkIntegerRange<CV_8U>,
|
|
&checkIntegerRange<CV_8S>,
|
|
&checkIntegerRange<CV_16U>,
|
|
&checkIntegerRange<CV_16S>,
|
|
&checkIntegerRange<CV_32S>
|
|
};
|
|
|
|
bool checkRange(InputArray _src, bool quiet, Point* pt, double minVal, double maxVal)
|
|
{
|
|
CV_INSTRUMENT_REGION();
|
|
|
|
Mat src = _src.getMat();
|
|
|
|
if ( src.dims > 2 )
|
|
{
|
|
CV_Assert(pt == NULL); // no way to provide location info
|
|
|
|
const Mat* arrays[] = {&src, 0};
|
|
Mat planes[1];
|
|
NAryMatIterator it(arrays, planes);
|
|
|
|
for ( size_t i = 0; i < it.nplanes; i++, ++it )
|
|
{
|
|
if (!checkRange( it.planes[0], quiet, NULL, minVal, maxVal ))
|
|
{
|
|
return false;
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
int depth = src.depth();
|
|
Point badPt(-1, -1);
|
|
|
|
if (depth < CV_32F)
|
|
{
|
|
int minVali = minVal <= INT_MIN ? INT_MIN : cvFloor(minVal);
|
|
int maxVali = maxVal > INT_MAX ? INT_MAX : cvCeil(maxVal) - 1;
|
|
|
|
(check_range_functions[depth])(src, badPt, minVali, maxVali);
|
|
}
|
|
else
|
|
{
|
|
int i, loc = 0;
|
|
int cn = src.channels();
|
|
Size size = getContinuousSize2D(src, cn);
|
|
|
|
if( depth == CV_32F )
|
|
{
|
|
Cv32suf a, b;
|
|
int ia, ib;
|
|
const int* isrc = src.ptr<int>();
|
|
size_t step = src.step/sizeof(isrc[0]);
|
|
|
|
a.f = (float)std::max(minVal, (double)-FLT_MAX);
|
|
b.f = (float)std::min(maxVal, (double)FLT_MAX);
|
|
|
|
ia = CV_TOGGLE_FLT(a.i);
|
|
ib = CV_TOGGLE_FLT(b.i);
|
|
|
|
for( ; badPt.x < 0 && size.height--; loc += size.width, isrc += step )
|
|
{
|
|
for( i = 0; i < size.width; i++ )
|
|
{
|
|
int val = isrc[i];
|
|
val = CV_TOGGLE_FLT(val);
|
|
|
|
if( val < ia || val >= ib )
|
|
{
|
|
int pixelId = (loc + i) / cn;
|
|
badPt = Point(pixelId % src.cols, pixelId / src.cols);
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
else
|
|
{
|
|
Cv64suf a, b;
|
|
int64 ia, ib;
|
|
const int64* isrc = src.ptr<int64>();
|
|
size_t step = src.step/sizeof(isrc[0]);
|
|
|
|
a.f = minVal;
|
|
b.f = maxVal;
|
|
|
|
ia = CV_TOGGLE_DBL(a.i);
|
|
ib = CV_TOGGLE_DBL(b.i);
|
|
|
|
for( ; badPt.x < 0 && size.height--; loc += size.width, isrc += step )
|
|
{
|
|
for( i = 0; i < size.width; i++ )
|
|
{
|
|
int64 val = isrc[i];
|
|
val = CV_TOGGLE_DBL(val);
|
|
|
|
if( val < ia || val >= ib )
|
|
{
|
|
int pixelId = (loc + i) / cn;
|
|
badPt = Point(pixelId % src.cols, pixelId / src.cols);
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
if( badPt.x >= 0 )
|
|
{
|
|
if( pt )
|
|
*pt = badPt;
|
|
if( !quiet )
|
|
{
|
|
cv::String value_str;
|
|
value_str << src(cv::Range(badPt.y, badPt.y + 1), cv::Range(badPt.x, badPt.x + 1));
|
|
CV_Error_( cv::Error::StsOutOfRange,
|
|
("the value at (%d, %d)=%s is out of range [%f, %f)", badPt.x, badPt.y, value_str.c_str(), minVal, maxVal));
|
|
}
|
|
return false;
|
|
}
|
|
return true;
|
|
}
|
|
|
|
} // namespace cv
|
|
|
|
/*
|
|
Finds real roots of cubic, quadratic or linear equation.
|
|
The original code has been taken from Ken Turkowski web page
|
|
(http://www.worldserver.com/turk/opensource/) and adopted for OpenCV.
|
|
Here is the copyright notice.
|
|
|
|
-----------------------------------------------------------------------
|
|
Copyright (C) 1978-1999 Ken Turkowski. <turk@computer.org>
|
|
|
|
All rights reserved.
|
|
|
|
Warranty Information
|
|
Even though I have reviewed this software, I make no warranty
|
|
or representation, either express or implied, with respect to this
|
|
software, its quality, accuracy, merchantability, or fitness for a
|
|
particular purpose. As a result, this software is provided "as is,"
|
|
and you, its user, are assuming the entire risk as to its quality
|
|
and accuracy.
|
|
|
|
This code may be used and freely distributed as long as it includes
|
|
this copyright notice and the above warranty information.
|
|
-----------------------------------------------------------------------
|
|
*/
|
|
|
|
int cv::solveCubic( InputArray _coeffs, OutputArray _roots )
|
|
{
|
|
CV_INSTRUMENT_REGION();
|
|
|
|
const int n0 = 3;
|
|
Mat coeffs = _coeffs.getMat();
|
|
int ctype = coeffs.type();
|
|
|
|
CV_Assert( ctype == CV_32F || ctype == CV_64F );
|
|
CV_Assert( (coeffs.size() == Size(n0, 1) ||
|
|
coeffs.size() == Size(n0+1, 1) ||
|
|
coeffs.size() == Size(1, n0) ||
|
|
coeffs.size() == Size(1, n0+1)) );
|
|
|
|
_roots.create(n0, 1, ctype, -1, true, _OutputArray::DEPTH_MASK_FLT);
|
|
Mat roots = _roots.getMat();
|
|
|
|
int i = -1, n = 0;
|
|
double a0 = 1., a1, a2, a3;
|
|
double x0 = 0., x1 = 0., x2 = 0.;
|
|
int ncoeffs = coeffs.rows + coeffs.cols - 1;
|
|
|
|
if( ctype == CV_32FC1 )
|
|
{
|
|
if( ncoeffs == 4 )
|
|
a0 = coeffs.at<float>(++i);
|
|
|
|
a1 = coeffs.at<float>(i+1);
|
|
a2 = coeffs.at<float>(i+2);
|
|
a3 = coeffs.at<float>(i+3);
|
|
}
|
|
else
|
|
{
|
|
if( ncoeffs == 4 )
|
|
a0 = coeffs.at<double>(++i);
|
|
|
|
a1 = coeffs.at<double>(i+1);
|
|
a2 = coeffs.at<double>(i+2);
|
|
a3 = coeffs.at<double>(i+3);
|
|
}
|
|
|
|
// Fix for Issue #27748: Normalize coefficients to avoid overflow/underflow
|
|
// and correctly detect negligible cubic terms.
|
|
double max_coeff = std::max({std::abs(a0), std::abs(a1), std::abs(a2), std::abs(a3)});
|
|
|
|
// If max_coeff is effectively zero, the equation is 0=0
|
|
if (max_coeff < std::numeric_limits<double>::epsilon())
|
|
return -1;
|
|
|
|
// Check if the cubic term is negligible relative to the largest coefficient
|
|
if( std::abs(a0) < std::numeric_limits<double>::epsilon() * max_coeff )
|
|
{
|
|
if( std::abs(a1) < std::numeric_limits<double>::epsilon() * max_coeff )
|
|
{
|
|
if( std::abs(a2) < std::numeric_limits<double>::epsilon() * max_coeff )
|
|
n = std::abs(a3) < std::numeric_limits<double>::epsilon() * max_coeff ? -1 : 0;
|
|
else
|
|
{
|
|
// linear equation
|
|
x0 = -a3/a2;
|
|
n = 1;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
// quadratic equation
|
|
double d = a2*a2 - 4*a1*a3;
|
|
if( d >= 0 )
|
|
{
|
|
d = std::sqrt(d);
|
|
double q1 = (-a2 + d) * 0.5;
|
|
double q2 = (a2 + d) * -0.5;
|
|
if( std::abs(q1) > std::abs(q2) )
|
|
{
|
|
x0 = q1 / a1;
|
|
x1 = a3 / q1;
|
|
}
|
|
else
|
|
{
|
|
x0 = q2 / a1;
|
|
x1 = a3 / q2;
|
|
}
|
|
n = d > 0 ? 2 : 1;
|
|
}
|
|
}
|
|
}
|
|
else
|
|
{
|
|
// cubic equation
|
|
// Normalize coefficients in-place to prevent overflow/instability
|
|
double scale = 1.0 / max_coeff;
|
|
a0 *= scale;
|
|
a1 *= scale;
|
|
a2 *= scale;
|
|
a3 *= scale;
|
|
|
|
a0 = 1./a0;
|
|
a1 *= a0;
|
|
a2 *= a0;
|
|
a3 *= a0;
|
|
|
|
double Q = (a1 * a1 - 3 * a2) * (1./9);
|
|
double R = (a1 * (2 * a1 * a1 - 9 * a2) + 27 * a3) * (1./54);
|
|
double Qcubed = Q * Q * Q;
|
|
|
|
/*
|
|
Here we expand expression `Qcubed - R * R` for `d` variable
|
|
to reduce common terms `a1^6 / 729` and `-a1^4 * a2 / 81`
|
|
and thus decrease rounding error (in case of quite big coefficients).
|
|
|
|
And then we additionally group terms to further reduce rounding error.
|
|
*/
|
|
double d = (a1 * a1 * (a2 * a2 - 4 * a1 * a3) + 2 * a2 * (9 * a1 * a3 - 2 * a2 * a2) - 27 * a3 * a3) * (1./108);
|
|
|
|
if( d > 0 )
|
|
{
|
|
double theta = acos(R / sqrt(Qcubed));
|
|
double sqrtQ = sqrt(Q);
|
|
double t0 = -2 * sqrtQ;
|
|
double t1 = theta * (1./3);
|
|
double t2 = a1 * (1./3);
|
|
x0 = t0 * cos(t1) - t2;
|
|
x1 = t0 * cos(t1 + (2.*CV_PI/3)) - t2;
|
|
x2 = t0 * cos(t1 + (4.*CV_PI/3)) - t2;
|
|
n = 3;
|
|
}
|
|
else if( d == 0 )
|
|
{
|
|
x0 = -2*std::cbrt(R) - a1/3;
|
|
x1 = std::cbrt(R) - a1/3;
|
|
x2 = 0;
|
|
n = x0 == x1 ? 1 : 2;
|
|
x1 = x0 == x1 ? 0 : x1;
|
|
}
|
|
else
|
|
{
|
|
double e;
|
|
d = sqrt(-d);
|
|
e = std::cbrt(d + fabs(R));
|
|
if( R > 0 )
|
|
e = -e;
|
|
x0 = (e + Q / e) - a1 * (1./3);
|
|
n = 1;
|
|
}
|
|
}
|
|
|
|
if( roots.type() == CV_32FC1 )
|
|
{
|
|
roots.at<float>(0) = (float)x0;
|
|
roots.at<float>(1) = (float)x1;
|
|
roots.at<float>(2) = (float)x2;
|
|
}
|
|
else
|
|
{
|
|
roots.at<double>(0) = x0;
|
|
roots.at<double>(1) = x1;
|
|
roots.at<double>(2) = x2;
|
|
}
|
|
|
|
return n;
|
|
}
|
|
|
|
/* finds complex roots of a polynomial using Durand-Kerner method:
|
|
http://en.wikipedia.org/wiki/Durand%E2%80%93Kerner_method */
|
|
double cv::solvePoly( InputArray _coeffs0, OutputArray _roots0, int maxIters )
|
|
{
|
|
CV_INSTRUMENT_REGION();
|
|
|
|
typedef Complex<double> C;
|
|
|
|
double maxDiff = 0;
|
|
int iter, i, j;
|
|
Mat coeffs0 = _coeffs0.getMat();
|
|
int ctype = _coeffs0.type();
|
|
int cdepth = CV_MAT_DEPTH(ctype);
|
|
|
|
CV_Assert( CV_MAT_DEPTH(ctype) >= CV_32F && CV_MAT_CN(ctype) <= 2 );
|
|
CV_Assert( coeffs0.rows == 1 || coeffs0.cols == 1 );
|
|
|
|
int n0 = coeffs0.cols + coeffs0.rows - 2, n = n0;
|
|
|
|
_roots0.create(n, 1, CV_MAKETYPE(cdepth, 2), -1, true, _OutputArray::DEPTH_MASK_FLT);
|
|
Mat roots0 = _roots0.getMat();
|
|
|
|
AutoBuffer<C> buf(n*2+2);
|
|
C *coeffs = buf.data(), *roots = coeffs + n + 1;
|
|
Mat coeffs1(coeffs0.size(), CV_MAKETYPE(CV_64F, coeffs0.channels()), coeffs0.channels() == 2 ? coeffs : roots);
|
|
coeffs0.convertTo(coeffs1, coeffs1.type());
|
|
if( coeffs0.channels() == 1 )
|
|
{
|
|
const double* rcoeffs = (const double*)roots;
|
|
for( i = 0; i <= n; i++ )
|
|
coeffs[i] = C(rcoeffs[i], 0);
|
|
}
|
|
|
|
for( ; n > 1; n-- )
|
|
{
|
|
if( std::abs(coeffs[n].re) + std::abs(coeffs[n].im) > DBL_EPSILON )
|
|
break;
|
|
}
|
|
|
|
C p(1, 0), r(1, 1);
|
|
|
|
for( i = 0; i < n; i++ )
|
|
{
|
|
roots[i] = p;
|
|
p = p * r;
|
|
}
|
|
|
|
maxIters = maxIters <= 0 ? 1000 : maxIters;
|
|
for( iter = 0; iter < maxIters; iter++ )
|
|
{
|
|
maxDiff = 0;
|
|
for( i = 0; i < n; i++ )
|
|
{
|
|
p = roots[i];
|
|
C num = coeffs[n], denom = coeffs[n];
|
|
int num_same_root = 1;
|
|
for( j = 0; j < n; j++ )
|
|
{
|
|
num = num*p + coeffs[n-j-1];
|
|
if( j != i )
|
|
{
|
|
if ( (p - roots[j]).re != 0 || (p - roots[j]).im != 0 )
|
|
denom = denom * (p - roots[j]);
|
|
else
|
|
num_same_root++;
|
|
}
|
|
}
|
|
num /= denom;
|
|
if( num_same_root > 1)
|
|
{
|
|
double old_num_re = num.re;
|
|
double old_num_im = num.im;
|
|
int square_root_times = num_same_root % 2 == 0 ? num_same_root / 2 : num_same_root / 2 - 1;
|
|
|
|
for( j = 0; j < square_root_times; j++)
|
|
{
|
|
num.re = old_num_re*old_num_re + old_num_im*old_num_im;
|
|
num.re = sqrt(num.re);
|
|
num.re += old_num_re;
|
|
num.im = num.re - old_num_re;
|
|
num.re /= 2;
|
|
num.re = sqrt(num.re);
|
|
|
|
num.im /= 2;
|
|
num.im = sqrt(num.im);
|
|
if( old_num_re < 0 ) num.im = -num.im;
|
|
}
|
|
|
|
if( num_same_root % 2 != 0){
|
|
Mat cube_coefs(4, 1, CV_64FC1);
|
|
Mat cube_roots(3, 1, CV_64FC2);
|
|
cube_coefs.at<double>(3) = -(std::pow(old_num_re, 3));
|
|
cube_coefs.at<double>(2) = -(15*std::pow(old_num_re, 2) + 27*std::pow(old_num_im, 2));
|
|
cube_coefs.at<double>(1) = -48*old_num_re;
|
|
cube_coefs.at<double>(0) = 64;
|
|
solveCubic(cube_coefs, cube_roots);
|
|
|
|
num.re = std::cbrt(cube_roots.at<double>(0));
|
|
num.im = sqrt(std::pow(num.re, 2) / 3 - old_num_re / (3*num.re));
|
|
}
|
|
}
|
|
roots[i] = p - num;
|
|
maxDiff = std::max(maxDiff, cv::abs(num));
|
|
}
|
|
if( maxDiff <= 0 )
|
|
break;
|
|
}
|
|
|
|
if( coeffs0.channels() == 1 )
|
|
{
|
|
const double verySmallEps = 1e-100;
|
|
for( i = 0; i < n; i++ )
|
|
if( fabs(roots[i].im) < verySmallEps )
|
|
roots[i].im = 0;
|
|
}
|
|
|
|
for( ; n < n0; n++ )
|
|
roots[n+1] = roots[n];
|
|
|
|
Mat(roots0.size(), CV_64FC2, roots).convertTo(roots0, roots0.type());
|
|
return maxDiff;
|
|
}
|
|
|
|
// Common constants for dispatched code
|
|
namespace cv { namespace details {
|
|
|
|
#define EXPTAB_SCALE 6
|
|
#define EXPTAB_MASK ((1 << EXPTAB_SCALE) - 1)
|
|
|
|
#define EXPPOLY_32F_A0 .9670371139572337719125840413672004409288e-2
|
|
|
|
static const double CV_DECL_ALIGNED(64) expTab[EXPTAB_MASK + 1] = {
|
|
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,
|
|
};
|
|
|
|
const double* getExpTab64f()
|
|
{
|
|
return expTab;
|
|
}
|
|
|
|
const float* getExpTab32f()
|
|
{
|
|
static float CV_DECL_ALIGNED(64) expTab_f[EXPTAB_MASK+1];
|
|
static std::atomic<bool> expTab_f_initialized(false);
|
|
if (!expTab_f_initialized.load())
|
|
{
|
|
for( int j = 0; j <= EXPTAB_MASK; j++ )
|
|
expTab_f[j] = (float)expTab[j];
|
|
expTab_f_initialized = true;
|
|
}
|
|
return expTab_f;
|
|
}
|
|
|
|
|
|
|
|
#define LOGTAB_SCALE 8
|
|
#define LOGTAB_MASK ((1 << LOGTAB_SCALE) - 1)
|
|
|
|
static const double CV_DECL_ALIGNED(64) logTab[(LOGTAB_MASK+1)*2] = {
|
|
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,
|
|
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|
.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,
|
|
};
|
|
|
|
const double* getLogTab64f()
|
|
{
|
|
return logTab;
|
|
}
|
|
|
|
const float* getLogTab32f()
|
|
{
|
|
static float CV_DECL_ALIGNED(64) logTab_f[(LOGTAB_MASK+1)*2];
|
|
static std::atomic<bool> logTab_f_initialized(false);
|
|
if (!logTab_f_initialized.load())
|
|
{
|
|
for (int j = 0; j < (LOGTAB_MASK+1)*2; j++)
|
|
logTab_f[j] = (float)logTab[j];
|
|
logTab_f_initialized = true;
|
|
}
|
|
return logTab_f;
|
|
}
|
|
|
|
}} // namespace
|
|
|
|
/* End of file. */
|