/*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, Willow Garage Inc., all rights reserved.
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// Copyright (C) 2013, OpenCV Foundation, all rights reserved.
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// Copyright (C) 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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#ifndef OPENCV_CORE_FAST_MATH_HPP
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#define OPENCV_CORE_FAST_MATH_HPP
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#include "opencv2/core/cvdef.h"
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//! @addtogroup core_utils
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//! @{
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/****************************************************************************************\
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* fast math *
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\****************************************************************************************/
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#ifdef __cplusplus
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# include <cmath>
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#else
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# ifdef __BORLANDC__
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# include <fastmath.h>
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# else
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# include <math.h>
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# endif
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#endif
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#if defined(__CUDACC__)
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// nothing, intrinsics/asm code is not supported
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#else
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#if ((defined _MSC_VER && defined _M_X64) \
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|| (defined __GNUC__ && defined __x86_64__ && defined __SSE2__)) \
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&& !defined(OPENCV_SKIP_INCLUDE_EMMINTRIN_H)
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#include <emmintrin.h>
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#endif
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#if defined __PPC64__ && defined __GNUC__ && defined _ARCH_PWR8 \
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&& !defined(OPENCV_SKIP_INCLUDE_ALTIVEC_H)
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#include <altivec.h>
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#endif
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#if defined(CV_INLINE_ROUND_FLT)
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// user-specified version
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// CV_INLINE_ROUND_DBL should be defined too
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#elif defined __GNUC__ && defined __arm__ && (defined __ARM_PCS_VFP || defined __ARM_VFPV3__ || defined __ARM_NEON__) && !defined __SOFTFP__
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// 1. general scheme
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#define ARM_ROUND(_value, _asm_string) \
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int res; \
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float temp; \
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CV_UNUSED(temp); \
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__asm__(_asm_string : [res] "=r" (res), [temp] "=w" (temp) : [value] "w" (_value)); \
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return res
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// 2. version for double
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#ifdef __clang__
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#define CV_INLINE_ROUND_DBL(value) ARM_ROUND(value, "vcvtr.s32.f64 %[temp], %[value] \n vmov %[res], %[temp]")
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#else
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#define CV_INLINE_ROUND_DBL(value) ARM_ROUND(value, "vcvtr.s32.f64 %[temp], %P[value] \n vmov %[res], %[temp]")
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#endif
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// 3. version for float
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#define CV_INLINE_ROUND_FLT(value) ARM_ROUND(value, "vcvtr.s32.f32 %[temp], %[value]\n vmov %[res], %[temp]")
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#elif defined __PPC64__ && defined __GNUC__ && defined _ARCH_PWR8
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// P8 and newer machines can convert fp32/64 to int quickly.
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#define CV_INLINE_ROUND_DBL(value) \
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int out; \
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double temp; \
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__asm__( "fctiw %[temp],%[in]\n\tmfvsrwz %[out],%[temp]\n\t" : [out] "=r" (out), [temp] "=d" (temp) : [in] "d" ((double)(value)) : ); \
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return out;
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// FP32 also works with FP64 routine above
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#define CV_INLINE_ROUND_FLT(value) CV_INLINE_ROUND_DBL(value)
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#endif
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#ifdef CV_INLINE_ISINF_FLT
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// user-specified version
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// CV_INLINE_ISINF_DBL should be defined too
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#elif defined __PPC64__ && defined _ARCH_PWR9 && defined(scalar_test_data_class)
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#define CV_INLINE_ISINF_DBL(value) return scalar_test_data_class(value, 0x30);
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#define CV_INLINE_ISINF_FLT(value) CV_INLINE_ISINF_DBL(value)
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#endif
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#ifdef CV_INLINE_ISNAN_FLT
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// user-specified version
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// CV_INLINE_ISNAN_DBL should be defined too
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#elif defined __PPC64__ && defined _ARCH_PWR9 && defined(scalar_test_data_class)
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#define CV_INLINE_ISNAN_DBL(value) return scalar_test_data_class(value, 0x40);
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#define CV_INLINE_ISNAN_FLT(value) CV_INLINE_ISNAN_DBL(value)
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#endif
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#if !defined(OPENCV_USE_FASTMATH_BUILTINS) \
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&& ( \
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defined(__x86_64__) || defined(__i686__) \
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|| defined(__arm__) \
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|| defined(__PPC64__) \
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)
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/* Let builtin C math functions when available. Dedicated hardware is available to
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round and convert FP values. */
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#define OPENCV_USE_FASTMATH_BUILTINS 1
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#endif
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/* Enable builtin math functions if possible, desired, and available.
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Note, not all math functions inline equally. E.g lrint will not inline
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without the -fno-math-errno option. */
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#if defined(CV_ICC)
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// nothing
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#elif defined(OPENCV_USE_FASTMATH_BUILTINS) && OPENCV_USE_FASTMATH_BUILTINS
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#if defined(__clang__)
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#define CV__FASTMATH_ENABLE_CLANG_MATH_BUILTINS
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#if !defined(CV_INLINE_ISNAN_DBL) && __has_builtin(__builtin_isnan)
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#define CV_INLINE_ISNAN_DBL(value) return __builtin_isnan(value);
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#endif
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#if !defined(CV_INLINE_ISNAN_FLT) && __has_builtin(__builtin_isnan)
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#define CV_INLINE_ISNAN_FLT(value) return __builtin_isnan(value);
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#endif
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#if !defined(CV_INLINE_ISINF_DBL) && __has_builtin(__builtin_isinf)
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#define CV_INLINE_ISINF_DBL(value) return __builtin_isinf(value);
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#endif
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#if !defined(CV_INLINE_ISINF_FLT) && __has_builtin(__builtin_isinf)
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#define CV_INLINE_ISINF_FLT(value) return __builtin_isinf(value);
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#endif
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#elif defined(__GNUC__)
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#define CV__FASTMATH_ENABLE_GCC_MATH_BUILTINS
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#if !defined(CV_INLINE_ISNAN_DBL)
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#define CV_INLINE_ISNAN_DBL(value) return __builtin_isnan(value);
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#endif
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#if !defined(CV_INLINE_ISNAN_FLT)
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#define CV_INLINE_ISNAN_FLT(value) return __builtin_isnanf(value);
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#endif
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#if !defined(CV_INLINE_ISINF_DBL)
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#define CV_INLINE_ISINF_DBL(value) return __builtin_isinf(value);
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#endif
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#if !defined(CV_INLINE_ISINF_FLT)
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#define CV_INLINE_ISINF_FLT(value) return __builtin_isinff(value);
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#endif
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#elif defined(_MSC_VER)
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#if !defined(CV_INLINE_ISNAN_DBL)
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#define CV_INLINE_ISNAN_DBL(value) return isnan(value);
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#endif
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#if !defined(CV_INLINE_ISNAN_FLT)
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#define CV_INLINE_ISNAN_FLT(value) return isnan(value);
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#endif
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#if !defined(CV_INLINE_ISINF_DBL)
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#define CV_INLINE_ISINF_DBL(value) return isinf(value);
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#endif
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#if !defined(CV_INLINE_ISINF_FLT)
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#define CV_INLINE_ISINF_FLT(value) return isinf(value);
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#endif
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#endif
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#endif
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#endif // defined(__CUDACC__)
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/** @brief Rounds floating-point number to the nearest integer
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@param value floating-point number. If the value is outside of INT_MIN ... INT_MAX range, the
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result is not defined.
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*/
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CV_INLINE int
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cvRound( double value )
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{
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#if defined CV_INLINE_ROUND_DBL
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CV_INLINE_ROUND_DBL(value);
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#elif ((defined _MSC_VER && defined _M_X64) || (defined __GNUC__ && defined __x86_64__ \
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&& defined __SSE2__ && !defined __APPLE__) || CV_SSE2) \
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&& !defined(__CUDACC__)
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__m128d t = _mm_set_sd( value );
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return _mm_cvtsd_si32(t);
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#elif defined _MSC_VER && defined _M_IX86
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int t;
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__asm
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{
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fld value;
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fistp t;
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}
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return t;
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#elif defined CV_ICC || defined __GNUC__
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return (int)(lrint(value));
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#else
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/* it's ok if round does not comply with IEEE754 standard;
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the tests should allow +/-1 difference when the tested functions use round */
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return (int)(value + (value >= 0 ? 0.5 : -0.5));
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#endif
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}
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/** @brief Rounds floating-point number to the nearest integer not larger than the original.
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The function computes an integer i such that:
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\f[i \le \texttt{value} < i+1\f]
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@param value floating-point number. If the value is outside of INT_MIN ... INT_MAX range, the
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result is not defined.
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*/
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CV_INLINE int cvFloor( double value )
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{
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#if (defined CV__FASTMATH_ENABLE_GCC_MATH_BUILTINS || defined CV__FASTMATH_ENABLE_CLANG_MATH_BUILTINS) \
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&& ( \
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defined(__PPC64__) \
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)
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return __builtin_floor(value);
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#else
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int i = (int)value;
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return i - (i > value);
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#endif
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}
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/** @brief Rounds floating-point number to the nearest integer not smaller than the original.
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The function computes an integer i such that:
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\f[i \le \texttt{value} < i+1\f]
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@param value floating-point number. If the value is outside of INT_MIN ... INT_MAX range, the
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result is not defined.
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*/
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CV_INLINE int cvCeil( double value )
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{
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#if (defined CV__FASTMATH_ENABLE_GCC_MATH_BUILTINS || defined CV__FASTMATH_ENABLE_CLANG_MATH_BUILTINS) \
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&& ( \
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defined(__PPC64__) \
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)
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return __builtin_ceil(value);
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#else
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int i = (int)value;
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return i + (i < value);
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#endif
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}
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/** @brief Determines if the argument is Not A Number.
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@param value The input floating-point value
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The function returns 1 if the argument is Not A Number (as defined by IEEE754 standard), 0
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otherwise. */
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CV_INLINE int cvIsNaN( double value )
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{
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#if defined CV_INLINE_ISNAN_DBL
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CV_INLINE_ISNAN_DBL(value);
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#else
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Cv64suf ieee754;
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ieee754.f = value;
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return ((unsigned)(ieee754.u >> 32) & 0x7fffffff) +
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((unsigned)ieee754.u != 0) > 0x7ff00000;
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#endif
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}
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/** @brief Determines if the argument is Infinity.
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@param value The input floating-point value
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The function returns 1 if the argument is a plus or minus infinity (as defined by IEEE754 standard)
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and 0 otherwise. */
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CV_INLINE int cvIsInf( double value )
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{
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#if defined CV_INLINE_ISINF_DBL
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CV_INLINE_ISINF_DBL(value);
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#elif defined(__x86_64__) || defined(_M_X64) || defined(__aarch64__) || defined(_M_ARM64) || defined(__PPC64__)
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Cv64suf ieee754;
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ieee754.f = value;
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return (ieee754.u & 0x7fffffff00000000) ==
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0x7ff0000000000000;
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#else
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Cv64suf ieee754;
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ieee754.f = value;
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return ((unsigned)(ieee754.u >> 32) & 0x7fffffff) == 0x7ff00000 &&
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(unsigned)ieee754.u == 0;
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#endif
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}
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#ifdef __cplusplus
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/** @overload */
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CV_INLINE int cvRound(float value)
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{
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#if defined CV_INLINE_ROUND_FLT
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CV_INLINE_ROUND_FLT(value);
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#elif ((defined _MSC_VER && defined _M_X64) || (defined __GNUC__ && defined __x86_64__ \
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&& defined __SSE2__ && !defined __APPLE__) || CV_SSE2) \
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&& !defined(__CUDACC__)
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__m128 t = _mm_set_ss( value );
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return _mm_cvtss_si32(t);
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#elif defined _MSC_VER && defined _M_IX86
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int t;
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__asm
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{
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fld value;
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fistp t;
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}
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return t;
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#elif defined CV_ICC || defined __GNUC__
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return (int)(lrintf(value));
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#else
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/* it's ok if round does not comply with IEEE754 standard;
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the tests should allow +/-1 difference when the tested functions use round */
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return (int)(value + (value >= 0 ? 0.5f : -0.5f));
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#endif
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}
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/** @overload */
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CV_INLINE int cvRound( int value )
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{
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return value;
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}
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/** @overload */
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CV_INLINE int cvFloor( float value )
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{
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#if (defined CV__FASTMATH_ENABLE_GCC_MATH_BUILTINS || defined CV__FASTMATH_ENABLE_CLANG_MATH_BUILTINS) \
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&& ( \
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defined(__PPC64__) \
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)
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return __builtin_floorf(value);
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#else
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int i = (int)value;
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return i - (i > value);
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#endif
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}
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/** @overload */
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CV_INLINE int cvFloor( int value )
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{
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return value;
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}
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/** @overload */
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CV_INLINE int cvCeil( float value )
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{
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#if (defined CV__FASTMATH_ENABLE_GCC_MATH_BUILTINS || defined CV__FASTMATH_ENABLE_CLANG_MATH_BUILTINS) \
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&& ( \
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defined(__PPC64__) \
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)
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return __builtin_ceilf(value);
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#else
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int i = (int)value;
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return i + (i < value);
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#endif
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}
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/** @overload */
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CV_INLINE int cvCeil( int value )
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{
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return value;
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}
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/** @overload */
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CV_INLINE int cvIsNaN( float value )
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{
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#if defined CV_INLINE_ISNAN_FLT
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CV_INLINE_ISNAN_FLT(value);
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#else
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Cv32suf ieee754;
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ieee754.f = value;
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return (ieee754.u & 0x7fffffff) > 0x7f800000;
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#endif
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}
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/** @overload */
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CV_INLINE int cvIsInf( float value )
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{
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#if defined CV_INLINE_ISINF_FLT
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CV_INLINE_ISINF_FLT(value);
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#else
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Cv32suf ieee754;
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ieee754.f = value;
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return (ieee754.u & 0x7fffffff) == 0x7f800000;
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#endif
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}
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#endif // __cplusplus
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//! @} core_utils
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#endif
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