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/*
* Copyright (C) 2005-2022 Centre National d'Etudes Spatiales (CNES)
*
* This file is part of Orfeo Toolbox
*
* https://www.orfeo-toolbox.org/
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#ifndef otbMath_h
#define otbMath_h
/**
* otbMath.h defines standard math macros, constants, and other
* parameters.
* All mathematics constans, functions (used in the OTB code) are the vcl version (vcl..., CONST_PI, ).
*/
#include <cmath>
namespace otb
{
// For Windows MSVC, defines these macros.
#ifdef _USE_MATH_DEFINES
#define _MATH_DEFINES_DEFINED
#endif
/** Define constants if not define in the "cmath" */
/* Some useful constants. */
constexpr double CONST_E = 2.7182818284590452354; /* e */
constexpr double CONST_LOG2E = 1.4426950408889634074; /* log_2 e */
constexpr double CONST_LOG10E = 0.43429448190325182765; /* log_10 e */
constexpr double CONST_LN2 = 0.69314718055994530942; /* log_e 2 */
constexpr double CONST_LN10 = 2.30258509299404568402; /* log_e 10 */
constexpr double CONST_PI = 3.14159265358979323846; /* pi */
constexpr double CONST_PI_2 = CONST_PI / 2.0; /* pi/2 */
constexpr double CONST_PI_4 = CONST_PI / 4.0; /* pi/4 */
constexpr double CONST_PI_8 = CONST_PI / 8.0; /* pi/8 */
constexpr double CONST_1_PI = 1.0 / CONST_PI; /* 1/pi */
constexpr double CONST_2_PI = 2.0 / CONST_PI; /* 2/pi */
constexpr double CONST_2PI = 2.0 * CONST_PI; /* 2*pi */
constexpr double CONST_PI_180 = CONST_PI / 180.0; /* pi/180 */
constexpr double CONST_180_PI = 180.0 / CONST_PI; /* 180/pi */
const double CONST_LNPI = std::log(CONST_PI); /* ln(pi)*/
const double CONST_SQRTPI = std::sqrt(CONST_PI); /* sqrt(pi)*/
constexpr double CONST_2_SQRTPI = 1.12837916709551257390; /* 2/sqrt(pi) */
constexpr double CONST_SQRT2 = 1.41421356237309504880; /* sqrt(2) */
constexpr double CONST_SQRT1_2 = 0.70710678118654752440; /* 1/sqrt(2) */
constexpr double CONST_SQRT3 = 1.73205080756887729353; /* sqrt(3) */
constexpr double CONST_EULER = 0.57721566490153286060; /* euler constant*/
/* The above constants are not adequate for computation using `long double's.
Therefore we provide as an extension constants with similar names as a
GNU extension. Provide enough digits for the 128-bit IEEE quad. */
#ifdef __USE_GNU
constexpr long double CONST_El = 2.7182818284590452353602874713526625L; /* e */
constexpr long double CONST_LOG2El = 1.4426950408889634073599246810018921L; /* log_2 e */
constexpr long double CONST_LOG10El = 0.4342944819032518276511289189166051L; /* log_10 e */
constexpr long double CONST_LN2l = 0.6931471805599453094172321214581766L; /* log_e 2 */
constexpr long double CONST_LN10l = 2.3025850929940456840179914546843642L; /* log_e 10 */
constexpr long double CONST_PIl = 3.1415926535897932384626433832795029L; /* pi */
constexpr long double CONST_PI_2l = CONST_PI / 2.0L; /* pi/2 */
constexpr long double CONST_PI_4l = CONST_PI / 4.0L; /* pi/4 */
constexpr long double CONST_PI_8l = CONST_PI / 8.0L; /* pi/8 */
constexpr long double CONST_2_PIl = 2.0L / CONST_PI; /* 2/pi */
constexpr long double CONST_2_SQRTPIl = 1.1283791670955125738961589031215452L; /* 2/sqrt(pi) */
constexpr long double CONST_2PIl = 2.0L * CONST_PI; /* 2*pi */
constexpr long double CONST_PI_180l = CONST_PI / 180.0L; /* pi/180 */
constexpr long double CONST_180_PIl = 180.0L / CONST_PI; /* 180/pi */
// Defined but not used?
// const long double CONST_LNPIl = std::log(CONST_PIl); /* ln(pi)*/
// const long double CONST_SQRTPIl = std::sqrt(CONST_PIl); /* sqrt(pi)*/
constexpr long double CONST_SQRT2l = 1.4142135623730950488016887242096981L; /* sqrt(2) */
constexpr long double CONST_SQRT1_2l = 0.7071067811865475244008443621048490L; /* 1/sqrt(2) */
constexpr long double CONST_SQRT3l = 1.7320508075688772935274463415058724L; /* sqrt(3) */
constexpr long double CONST_EULERl = 0.5772156649015328606065120900824024L; /* euler constant*/
#endif
template <typename T>
T InverseValue(const T& value)
{
return ((value > 0 || value < 0) ? 1 / value : 0);
}
template <typename T>
T SignOfValue(const T& value)
{
return (value > 0) ? 1 : ((value < 0) ? -1 : 0);
}
}
#endif
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