/usr/include/cpl_math_const.h is in libcpl-dev 6.6.1-1build1.
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*
* This file is part of the ESO Common Pipeline Library
* Copyright (C) 2001-2008 European Southern Observatory
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*/
/*
* $Author: llundin $
* $Date: 2012-10-01 14:50:02 $
* $Revision: 1.10 $
* $Name: not supported by cvs2svn $
*/
#ifndef CPL_MATH_CONST_H
#define CPL_MATH_CONST_H
#include <cpl_macros.h>
CPL_BEGIN_DECLS
/**
* @defgroup cpl_math Fundamental math functionality
*
* This module provides fundamental math constants.
*
* Source: On-Line Encyclopedia of Integer Sequences (OEIS)
*
* pi: http://www.research.att.com/~njas/sequences/A000796
*
* e: http://www.research.att.com/~njas/sequences/A001113
*
* ln(2): http://www.research.att.com/~njas/sequences/A002162
*
* ln(10): http://www.research.att.com/~njas/sequences/A002392
*
* sqrt(2): http://www.research.att.com/~njas/sequences/A002193
*
* sqrt(3): http://www.research.att.com/~njas/sequences/A002194
*
* The derived constants have been computed with the
* GNU Multiple-Precision Library v. 4.2.2.
*
* The constants are listed with a precision that allows a one-line definition.
*
* @par Synopsis:
* @code
* #include <cpl_math_const.h>
* @endcode
*/
/**@{*/
/*-----------------------------------------------------------------------------
Defines
-----------------------------------------------------------------------------*/
/*----------------------------------------------------------------------------*/
/**
* @brief The base of the exponential function
* @see On-Line Encyclopedia of Integer Sequences (OEIS),
* http://www.research.att.com/~njas/sequences/A001113
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_E 2.7182818284590452353602874713526624977572470936999595
/*----------------------------------------------------------------------------*/
/**
* @brief The ratio of a circles circumference to its diameter
* @see On-Line Encyclopedia of Integer Sequences (OEIS),
* http://www.research.att.com/~njas/sequences/A000796
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_PI 3.1415926535897932384626433832795028841971693993751058
/*----------------------------------------------------------------------------*/
/**
* @brief The natural logarithm of 2
* @see On-Line Encyclopedia of Integer Sequences (OEIS),
* http://www.research.att.com/~njas/sequences/A002162
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_LN2 0.6931471805599453094172321214581765680755001343602553
/*----------------------------------------------------------------------------*/
/**
* @brief The natural logarithm of 10
* @see On-Line Encyclopedia of Integer Sequences (OEIS),
* http://www.research.att.com/~njas/sequences/A002392
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_LN10 2.3025850929940456840179914546843642076011014886287730
/*----------------------------------------------------------------------------*/
/**
@brief 2 pi
@see CPL_MATH_PI
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_2PI 6.2831853071795864769252867665590057683943387987502116
/*----------------------------------------------------------------------------*/
/**
@brief pi/2
@see CPL_MATH_PI
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_PI_2 1.5707963267948966192313216916397514420985846996875529
/*----------------------------------------------------------------------------*/
/**
@brief pi/4
@see CPL_MATH_PI
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_PI_4 0.7853981633974483096156608458198757210492923498437765
/*----------------------------------------------------------------------------*/
/**
@brief 1/pi
@see CPL_MATH_PI
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_1_PI 0.3183098861837906715377675267450287240689192914809129
/*----------------------------------------------------------------------------*/
/**
@brief 2/pi
@see CPL_MATH_PI
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_2_PI 0.6366197723675813430755350534900574481378385829618258
/*----------------------------------------------------------------------------*/
/**
@brief 4/pi
@see CPL_MATH_PI
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_4_PI 1.2732395447351626861510701069801148962756771659236516
/*----------------------------------------------------------------------------*/
/**
@brief sqrt(2pi)
@see CPL_MATH_PI
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_SQRT2PI 2.5066282746310005024157652848110452530069867406099383
/*----------------------------------------------------------------------------*/
/**
@brief 2/sqrt(pi)
@see CPL_MATH_PI
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_2_SQRTPI 1.1283791670955125738961589031215451716881012586579977
/*----------------------------------------------------------------------------*/
/**
* @brief The square root of 2
* @see On-Line Encyclopedia of Integer Sequences (OEIS),
* http://www.research.att.com/~njas/sequences/A002193
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_SQRT2 1.4142135623730950488016887242096980785696718753769481
/*----------------------------------------------------------------------------*/
/**
* @brief The square root of 3
* @see On-Line Encyclopedia of Integer Sequences (OEIS),
* http://www.research.att.com/~njas/sequences/A002194
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_SQRT3 1.7320508075688772935274463415058723669428052538103806
/*----------------------------------------------------------------------------*/
/**
@brief sqrt(1/2)
@see CPL_MATH_SQRT2
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_SQRT1_2 0.7071067811865475244008443621048490392848359376884740
/*----------------------------------------------------------------------------*/
/**
@brief log2(e)
@see CPL_MATH_LN2
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_LOG2E 1.4426950408889634073599246810018921374266459541529859
/*----------------------------------------------------------------------------*/
/**
@brief log10(e)
@see CPL_MATH_LN10
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_LOG10E 0.4342944819032518276511289189166050822943970058036666
/*----------------------------------------------------------------------------*/
/**
@brief 180/pi
@see CPL_MATH_PI
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_DEG_RAD 57.295779513082320876798154814105170332405472466564322
/*----------------------------------------------------------------------------*/
/**
@brief pi/180
@see CPL_MATH_PI
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_RAD_DEG 0.0174532925199432957692369076848861271344287188854173
/*----------------------------------------------------------------------------*/
/**
@brief FWHM per Sigma, 2.0*sqrt(2.0*log(2.0))
@see CPL_MATH_LN2
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_FWHM_SIG 2.3548200450309493820231386529193992754947713787716411
/*----------------------------------------------------------------------------*/
/**
@brief Sigma per FWHM, 0.5/sqrt(2.0*log(2.0))
@see CPL_MATH_LN2
@note Derived from a fundamental constant
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_SIG_FWHM 0.4246609001440095213607514170514448098575705468921770
/*----------------------------------------------------------------------------*/
/**
@brief Standard deviation per Median Absolute Deviation for Gaussian data
@see cpl_image_get_mad_window()
For a Gaussian distribution the Median Absolute Deviation (MAD) is a robust
and consistent estimate of the Standard Deviation (STD) in the sense that the
STD is approximately K * MAD, where K is a constant equal to approximately
1.4826.
*/
/*----------------------------------------------------------------------------*/
#define CPL_MATH_STD_MAD 1.4826
/*----------------------------------------------------------------------------*/
/**
@hideinitializer
@brief Return the minimum of two values
@param first The first expression in the comparison
@param second The second expression in the comparison
@return The minimum of the two values
@note If the first argument is the smallest then it is evaluated twice
otherwise the second argument is evaluated twice
*/
/*----------------------------------------------------------------------------*/
#define CPL_MIN(first, second) \
(((first) < (second)) ? (first) : (second)) /* Two evaluations of minimum */
/*----------------------------------------------------------------------------*/
/**
@hideinitializer
@brief Return the maximum of two values
@param first The first expression in the comparison
@param second The second expression in the comparison
@return The maximum of the two values
@see CPL_MIN()
*/
/*----------------------------------------------------------------------------*/
#define CPL_MAX(first, second) \
(((first) > (second)) ? (first) : (second)) /* Two evaluations of maximum */
/**@}*/
CPL_END_DECLS
#endif
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