412 lines
13 KiB
C++
412 lines
13 KiB
C++
/*M///////////////////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// IMPORTANT: READ BEFORE DOWNLOADING, COPYING, INSTALLING OR USING.
|
|
//
|
|
// By downloading, copying, installing or using the software you agree to this license.
|
|
// If you do not agree to this license, do not download, install,
|
|
// copy or use the software.
|
|
//
|
|
//
|
|
// License Agreement
|
|
// For Open Source Computer Vision Library
|
|
//
|
|
// Copyright (C) 2000-2008, Intel Corporation, all rights reserved.
|
|
// Copyright (C) 2009, Willow Garage Inc., all rights reserved.
|
|
// Copyright (C) 2013, OpenCV Foundation, all rights reserved.
|
|
// Copyright (C) 2015, Itseez Inc., all rights reserved.
|
|
// Third party copyrights are property of their respective owners.
|
|
//
|
|
// Redistribution and use in source and binary forms, with or without modification,
|
|
// are permitted provided that the following conditions are met:
|
|
//
|
|
// * Redistribution's of source code must retain the above copyright notice,
|
|
// this list of conditions and the following disclaimer.
|
|
//
|
|
// * Redistribution's in binary form must reproduce the above copyright notice,
|
|
// this list of conditions and the following disclaimer in the documentation
|
|
// and/or other materials provided with the distribution.
|
|
//
|
|
// * The name of the copyright holders may not be used to endorse or promote products
|
|
// derived from this software without specific prior written permission.
|
|
//
|
|
// This software is provided by the copyright holders and contributors "as is" and
|
|
// any express or implied warranties, including, but not limited to, the implied
|
|
// warranties of merchantability and fitness for a particular purpose are disclaimed.
|
|
// In no event shall the Intel Corporation or contributors be liable for any direct,
|
|
// indirect, incidental, special, exemplary, or consequential damages
|
|
// (including, but not limited to, procurement of substitute goods or services;
|
|
// loss of use, data, or profits; or business interruption) however caused
|
|
// and on any theory of liability, whether in contract, strict liability,
|
|
// or tort (including negligence or otherwise) arising in any way out of
|
|
// the use of this software, even if advised of the possibility of such damage.
|
|
//
|
|
//M*/
|
|
|
|
#ifndef OPENCV_CORE_FAST_MATH_HPP
|
|
#define OPENCV_CORE_FAST_MATH_HPP
|
|
|
|
#include "opencv2/core/cvdef.h"
|
|
|
|
//! @addtogroup core_utils
|
|
//! @{
|
|
|
|
/****************************************************************************************\
|
|
* fast math *
|
|
\****************************************************************************************/
|
|
|
|
#ifdef __cplusplus
|
|
# include <cmath>
|
|
#else
|
|
# ifdef __BORLANDC__
|
|
# include <fastmath.h>
|
|
# else
|
|
# include <math.h>
|
|
# endif
|
|
#endif
|
|
|
|
#if defined(__CUDACC__)
|
|
// nothing, intrinsics/asm code is not supported
|
|
#else
|
|
#if ((defined _MSC_VER && defined _M_X64) \
|
|
|| (defined __GNUC__ && defined __x86_64__ && defined __SSE2__)) \
|
|
&& !defined(OPENCV_SKIP_INCLUDE_EMMINTRIN_H)
|
|
#include <emmintrin.h>
|
|
#endif
|
|
|
|
#if defined __PPC64__ && defined __GNUC__ && defined _ARCH_PWR8 \
|
|
&& !defined(OPENCV_SKIP_INCLUDE_ALTIVEC_H)
|
|
#include <altivec.h>
|
|
#undef vector
|
|
#undef bool
|
|
#undef pixel
|
|
#endif
|
|
|
|
#if defined(CV_INLINE_ROUND_FLT)
|
|
// user-specified version
|
|
// CV_INLINE_ROUND_DBL should be defined too
|
|
#elif defined __GNUC__ && defined __arm__ && (defined __ARM_PCS_VFP || defined __ARM_VFPV3__ || defined __ARM_NEON__) && !defined __SOFTFP__
|
|
// 1. general scheme
|
|
#define ARM_ROUND(_value, _asm_string) \
|
|
int res; \
|
|
float temp; \
|
|
CV_UNUSED(temp); \
|
|
__asm__(_asm_string : [res] "=r" (res), [temp] "=w" (temp) : [value] "w" (_value)); \
|
|
return res
|
|
// 2. version for double
|
|
#ifdef __clang__
|
|
#define CV_INLINE_ROUND_DBL(value) ARM_ROUND(value, "vcvtr.s32.f64 %[temp], %[value] \n vmov %[res], %[temp]")
|
|
#else
|
|
#define CV_INLINE_ROUND_DBL(value) ARM_ROUND(value, "vcvtr.s32.f64 %[temp], %P[value] \n vmov %[res], %[temp]")
|
|
#endif
|
|
// 3. version for float
|
|
#define CV_INLINE_ROUND_FLT(value) ARM_ROUND(value, "vcvtr.s32.f32 %[temp], %[value]\n vmov %[res], %[temp]")
|
|
#elif defined __PPC64__ && defined __GNUC__ && defined _ARCH_PWR8
|
|
// P8 and newer machines can convert fp32/64 to int quickly.
|
|
#define CV_INLINE_ROUND_DBL(value) \
|
|
int out; \
|
|
double temp; \
|
|
__asm__( "fctiw %[temp],%[in]\n\tmfvsrwz %[out],%[temp]\n\t" : [out] "=r" (out), [temp] "=d" (temp) : [in] "d" ((double)(value)) : ); \
|
|
return out;
|
|
|
|
// FP32 also works with FP64 routine above
|
|
#define CV_INLINE_ROUND_FLT(value) CV_INLINE_ROUND_DBL(value)
|
|
#endif
|
|
|
|
#ifdef CV_INLINE_ISINF_FLT
|
|
// user-specified version
|
|
// CV_INLINE_ISINF_DBL should be defined too
|
|
#elif defined __PPC64__ && defined _ARCH_PWR9 && defined(scalar_test_data_class)
|
|
#define CV_INLINE_ISINF_DBL(value) return scalar_test_data_class(value, 0x30);
|
|
#define CV_INLINE_ISINF_FLT(value) CV_INLINE_ISINF_DBL(value)
|
|
#endif
|
|
|
|
#ifdef CV_INLINE_ISNAN_FLT
|
|
// user-specified version
|
|
// CV_INLINE_ISNAN_DBL should be defined too
|
|
#elif defined __PPC64__ && defined _ARCH_PWR9 && defined(scalar_test_data_class)
|
|
#define CV_INLINE_ISNAN_DBL(value) return scalar_test_data_class(value, 0x40);
|
|
#define CV_INLINE_ISNAN_FLT(value) CV_INLINE_ISNAN_DBL(value)
|
|
#endif
|
|
|
|
#if !defined(OPENCV_USE_FASTMATH_BUILTINS) \
|
|
&& ( \
|
|
defined(__x86_64__) || defined(__i686__) \
|
|
|| defined(__arm__) \
|
|
|| defined(__PPC64__) \
|
|
)
|
|
/* Let builtin C math functions when available. Dedicated hardware is available to
|
|
round and convert FP values. */
|
|
#define OPENCV_USE_FASTMATH_BUILTINS 1
|
|
#endif
|
|
|
|
/* Enable builtin math functions if possible, desired, and available.
|
|
Note, not all math functions inline equally. E.g lrint will not inline
|
|
without the -fno-math-errno option. */
|
|
#if defined(CV_ICC)
|
|
// nothing
|
|
#elif defined(OPENCV_USE_FASTMATH_BUILTINS) && OPENCV_USE_FASTMATH_BUILTINS
|
|
#if defined(__clang__)
|
|
#define CV__FASTMATH_ENABLE_CLANG_MATH_BUILTINS
|
|
#if !defined(CV_INLINE_ISNAN_DBL) && __has_builtin(__builtin_isnan)
|
|
#define CV_INLINE_ISNAN_DBL(value) return __builtin_isnan(value);
|
|
#endif
|
|
#if !defined(CV_INLINE_ISNAN_FLT) && __has_builtin(__builtin_isnan)
|
|
#define CV_INLINE_ISNAN_FLT(value) return __builtin_isnan(value);
|
|
#endif
|
|
#if !defined(CV_INLINE_ISINF_DBL) && __has_builtin(__builtin_isinf)
|
|
#define CV_INLINE_ISINF_DBL(value) return __builtin_isinf(value);
|
|
#endif
|
|
#if !defined(CV_INLINE_ISINF_FLT) && __has_builtin(__builtin_isinf)
|
|
#define CV_INLINE_ISINF_FLT(value) return __builtin_isinf(value);
|
|
#endif
|
|
#elif defined(__GNUC__)
|
|
#define CV__FASTMATH_ENABLE_GCC_MATH_BUILTINS
|
|
#if !defined(CV_INLINE_ISNAN_DBL)
|
|
#define CV_INLINE_ISNAN_DBL(value) return __builtin_isnan(value);
|
|
#endif
|
|
#if !defined(CV_INLINE_ISNAN_FLT)
|
|
#define CV_INLINE_ISNAN_FLT(value) return __builtin_isnanf(value);
|
|
#endif
|
|
#if !defined(CV_INLINE_ISINF_DBL)
|
|
#define CV_INLINE_ISINF_DBL(value) return __builtin_isinf(value);
|
|
#endif
|
|
#if !defined(CV_INLINE_ISINF_FLT)
|
|
#define CV_INLINE_ISINF_FLT(value) return __builtin_isinff(value);
|
|
#endif
|
|
#elif defined(_MSC_VER)
|
|
#if !defined(CV_INLINE_ISNAN_DBL)
|
|
#define CV_INLINE_ISNAN_DBL(value) return isnan(value);
|
|
#endif
|
|
#if !defined(CV_INLINE_ISNAN_FLT)
|
|
#define CV_INLINE_ISNAN_FLT(value) return isnan(value);
|
|
#endif
|
|
#if !defined(CV_INLINE_ISINF_DBL)
|
|
#define CV_INLINE_ISINF_DBL(value) return isinf(value);
|
|
#endif
|
|
#if !defined(CV_INLINE_ISINF_FLT)
|
|
#define CV_INLINE_ISINF_FLT(value) return isinf(value);
|
|
#endif
|
|
#endif
|
|
#endif
|
|
|
|
#endif // defined(__CUDACC__)
|
|
|
|
/** @brief Rounds floating-point number to the nearest integer
|
|
|
|
@param value floating-point number. If the value is outside of INT_MIN ... INT_MAX range, the
|
|
result is not defined.
|
|
*/
|
|
CV_INLINE int
|
|
cvRound( double value )
|
|
{
|
|
#if defined CV_INLINE_ROUND_DBL
|
|
CV_INLINE_ROUND_DBL(value);
|
|
#elif ((defined _MSC_VER && defined _M_X64) || (defined __GNUC__ && defined __x86_64__ \
|
|
&& defined __SSE2__ && !defined __APPLE__) || CV_SSE2) \
|
|
&& !defined(__CUDACC__)
|
|
__m128d t = _mm_set_sd( value );
|
|
return _mm_cvtsd_si32(t);
|
|
#elif defined _MSC_VER && defined _M_IX86
|
|
int t;
|
|
__asm
|
|
{
|
|
fld value;
|
|
fistp t;
|
|
}
|
|
return t;
|
|
#elif defined CV_ICC || defined __GNUC__
|
|
return (int)(lrint(value));
|
|
#else
|
|
/* it's ok if round does not comply with IEEE754 standard;
|
|
the tests should allow +/-1 difference when the tested functions use round */
|
|
return (int)(value + (value >= 0 ? 0.5 : -0.5));
|
|
#endif
|
|
}
|
|
|
|
|
|
/** @brief Rounds floating-point number to the nearest integer not larger than the original.
|
|
|
|
The function computes an integer i such that:
|
|
\f[i \le \texttt{value} < i+1\f]
|
|
@param value floating-point number. If the value is outside of INT_MIN ... INT_MAX range, the
|
|
result is not defined.
|
|
*/
|
|
CV_INLINE int cvFloor( double value )
|
|
{
|
|
#if (defined CV__FASTMATH_ENABLE_GCC_MATH_BUILTINS || defined CV__FASTMATH_ENABLE_CLANG_MATH_BUILTINS) \
|
|
&& ( \
|
|
defined(__PPC64__) \
|
|
)
|
|
return __builtin_floor(value);
|
|
#else
|
|
int i = (int)value;
|
|
return i - (i > value);
|
|
#endif
|
|
}
|
|
|
|
/** @brief Rounds floating-point number to the nearest integer not smaller than the original.
|
|
|
|
The function computes an integer i such that:
|
|
\f[i \le \texttt{value} < i+1\f]
|
|
@param value floating-point number. If the value is outside of INT_MIN ... INT_MAX range, the
|
|
result is not defined.
|
|
*/
|
|
CV_INLINE int cvCeil( double value )
|
|
{
|
|
#if (defined CV__FASTMATH_ENABLE_GCC_MATH_BUILTINS || defined CV__FASTMATH_ENABLE_CLANG_MATH_BUILTINS) \
|
|
&& ( \
|
|
defined(__PPC64__) \
|
|
)
|
|
return __builtin_ceil(value);
|
|
#else
|
|
int i = (int)value;
|
|
return i + (i < value);
|
|
#endif
|
|
}
|
|
|
|
/** @brief Determines if the argument is Not A Number.
|
|
|
|
@param value The input floating-point value
|
|
|
|
The function returns 1 if the argument is Not A Number (as defined by IEEE754 standard), 0
|
|
otherwise. */
|
|
CV_INLINE int cvIsNaN( double value )
|
|
{
|
|
#if defined CV_INLINE_ISNAN_DBL
|
|
CV_INLINE_ISNAN_DBL(value);
|
|
#else
|
|
Cv64suf ieee754;
|
|
ieee754.f = value;
|
|
return ((unsigned)(ieee754.u >> 32) & 0x7fffffff) +
|
|
((unsigned)ieee754.u != 0) > 0x7ff00000;
|
|
#endif
|
|
}
|
|
|
|
/** @brief Determines if the argument is Infinity.
|
|
|
|
@param value The input floating-point value
|
|
|
|
The function returns 1 if the argument is a plus or minus infinity (as defined by IEEE754 standard)
|
|
and 0 otherwise. */
|
|
CV_INLINE int cvIsInf( double value )
|
|
{
|
|
#if defined CV_INLINE_ISINF_DBL
|
|
CV_INLINE_ISINF_DBL(value);
|
|
#elif defined(__x86_64__) || defined(_M_X64) || defined(__aarch64__) || defined(_M_ARM64) || defined(__PPC64__)
|
|
Cv64suf ieee754;
|
|
ieee754.f = value;
|
|
return (ieee754.u & 0x7fffffff00000000) ==
|
|
0x7ff0000000000000;
|
|
#else
|
|
Cv64suf ieee754;
|
|
ieee754.f = value;
|
|
return ((unsigned)(ieee754.u >> 32) & 0x7fffffff) == 0x7ff00000 &&
|
|
(unsigned)ieee754.u == 0;
|
|
#endif
|
|
}
|
|
|
|
#ifdef __cplusplus
|
|
|
|
/** @overload */
|
|
CV_INLINE int cvRound(float value)
|
|
{
|
|
#if defined CV_INLINE_ROUND_FLT
|
|
CV_INLINE_ROUND_FLT(value);
|
|
#elif ((defined _MSC_VER && defined _M_X64) || (defined __GNUC__ && defined __x86_64__ \
|
|
&& defined __SSE2__ && !defined __APPLE__) || CV_SSE2) \
|
|
&& !defined(__CUDACC__)
|
|
__m128 t = _mm_set_ss( value );
|
|
return _mm_cvtss_si32(t);
|
|
#elif defined _MSC_VER && defined _M_IX86
|
|
int t;
|
|
__asm
|
|
{
|
|
fld value;
|
|
fistp t;
|
|
}
|
|
return t;
|
|
#elif defined CV_ICC || defined __GNUC__
|
|
return (int)(lrintf(value));
|
|
#else
|
|
/* it's ok if round does not comply with IEEE754 standard;
|
|
the tests should allow +/-1 difference when the tested functions use round */
|
|
return (int)(value + (value >= 0 ? 0.5f : -0.5f));
|
|
#endif
|
|
}
|
|
|
|
/** @overload */
|
|
CV_INLINE int cvRound( int value )
|
|
{
|
|
return value;
|
|
}
|
|
|
|
/** @overload */
|
|
CV_INLINE int cvFloor( float value )
|
|
{
|
|
#if (defined CV__FASTMATH_ENABLE_GCC_MATH_BUILTINS || defined CV__FASTMATH_ENABLE_CLANG_MATH_BUILTINS) \
|
|
&& ( \
|
|
defined(__PPC64__) \
|
|
)
|
|
return __builtin_floorf(value);
|
|
#else
|
|
int i = (int)value;
|
|
return i - (i > value);
|
|
#endif
|
|
}
|
|
|
|
/** @overload */
|
|
CV_INLINE int cvFloor( int value )
|
|
{
|
|
return value;
|
|
}
|
|
|
|
/** @overload */
|
|
CV_INLINE int cvCeil( float value )
|
|
{
|
|
#if (defined CV__FASTMATH_ENABLE_GCC_MATH_BUILTINS || defined CV__FASTMATH_ENABLE_CLANG_MATH_BUILTINS) \
|
|
&& ( \
|
|
defined(__PPC64__) \
|
|
)
|
|
return __builtin_ceilf(value);
|
|
#else
|
|
int i = (int)value;
|
|
return i + (i < value);
|
|
#endif
|
|
}
|
|
|
|
/** @overload */
|
|
CV_INLINE int cvCeil( int value )
|
|
{
|
|
return value;
|
|
}
|
|
|
|
/** @overload */
|
|
CV_INLINE int cvIsNaN( float value )
|
|
{
|
|
#if defined CV_INLINE_ISNAN_FLT
|
|
CV_INLINE_ISNAN_FLT(value);
|
|
#else
|
|
Cv32suf ieee754;
|
|
ieee754.f = value;
|
|
return (ieee754.u & 0x7fffffff) > 0x7f800000;
|
|
#endif
|
|
}
|
|
|
|
/** @overload */
|
|
CV_INLINE int cvIsInf( float value )
|
|
{
|
|
#if defined CV_INLINE_ISINF_FLT
|
|
CV_INLINE_ISINF_FLT(value);
|
|
#else
|
|
Cv32suf ieee754;
|
|
ieee754.f = value;
|
|
return (ieee754.u & 0x7fffffff) == 0x7f800000;
|
|
#endif
|
|
}
|
|
|
|
#endif // __cplusplus
|
|
|
|
//! @} core_utils
|
|
|
|
#endif
|