mirror of https://github.com/gnss-sdr/gnss-sdr
134 lines
7.1 KiB
C++
134 lines
7.1 KiB
C++
/*!
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* \file MATH_CONSTANTS.h
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* \brief Defines useful mathematical constants and their scaled versions
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* \author Javier Arribas, 2013. jarribas(at)cttc.es
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*
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* -----------------------------------------------------------------------------
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*
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* GNSS-SDR is a Global Navigation Satellite System software-defined receiver.
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* This file is part of GNSS-SDR.
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*
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* Copyright (C) 2010-2020 (see AUTHORS file for a list of contributors)
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* SPDX-License-Identifier: GPL-3.0-or-later
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*
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* -----------------------------------------------------------------------------
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*/
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#ifndef GNSS_SDR_MATH_CONSTANTS_H
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#define GNSS_SDR_MATH_CONSTANTS_H
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/** \addtogroup Core
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* \{ */
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/** \addtogroup System_Parameters
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* \{ */
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constexpr double GNSS_OMEGA_EARTH_DOT = 7.2921151467e-5; //!< Default Earth rotation rate, [rad/s]
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constexpr double SPEED_OF_LIGHT_M_S = 299792458.0; //!< Speed of light in vacuum [m/s]
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constexpr double SPEED_OF_LIGHT_M_MS = 299792.4580; //!< Speed of light in vacuum [m/ms]
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// Physical constants for GPS
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constexpr double GPS_GM = 3.986005e14; //!< Universal gravitational constant times the mass of the Earth, [m^3/s^2] IS-GPS-200M, 20.3.3.3.3.1
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constexpr double GPS_F = -4.442807633e-10; //!< Constant, [s/(m)^(1/2)], IS-GPS-200M, 20.3.3.3.3.1
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// Physical constants for Galileo
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constexpr double GALILEO_GM = 3.986004418e14; //!< Geocentric gravitational constant[m^3/s^2], OS SIS ICD v2.0, pag. 44
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constexpr double GALILEO_F = -4.442807309e-10; //!< Constant, [s/(m)^(1/2)]. OS SIS ICD v2.0, pag. 47
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// Physical constants for GLONASS
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constexpr double GLONASS_OMEGA_EARTH_DOT = 7.292115e-5; //!< Earth rotation rate, [rad/s] ICD L1, L2 GLONASS Edition 5.1 2008 pag. 55
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constexpr double GLONASS_GM = 398600.44e9; //!< Universal gravitational constant times the mass of the Earth, [m^3/s^2]
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// Physical constants for Beidou
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constexpr double BEIDOU_OMEGA_EARTH_DOT = 7.2921150e-5; //!< Earth rotation rate, [rad/s] as defined in BDS-SIS-ICD-B1I-3.0 2019-02, pag. 3
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constexpr double BEIDOU_GM = 3.986004418e14; //!< Universal gravitational constant times the mass of the Earth, [m^3/s^2] as defined in CGCS2000
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constexpr double BEIDOU_F = -4.442807309e-10; //!< Constant, [s/(m)^(1/2)] F=-2(GM)^.5/C^2
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constexpr double GNSS_PI = 3.1415926535898; //!< pi constant as defined for GNSS
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constexpr double HALF_PI = GNSS_PI / 2.0; //!< pi/2
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constexpr double TWO_PI = 2.0 * GNSS_PI; //!< 2 * pi
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// Constants for scaling the ephemeris found in the data message
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// the format is the following: TWO_N5 -> 2^-5, TWO_P4 -> 2^4, PI_TWO_N43 -> Pi*2^-43, etc etc
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// Additionally some of the PI*2^N terms are used in the tracking stuff
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// TWO_PX ==> 2^X
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// TWO_NX ==> 2^-X
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// PI_TWO_NX ==> Pi*2^-X
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constexpr double TWO_P3 = 8.0; //!< 2^3
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constexpr double TWO_P4 = 16.0; //!< 2^4
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constexpr double TWO_P8 = 256.0; //!< 2^8
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constexpr double TWO_P11 = 2048.0; //!< 2^11
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constexpr double TWO_P12 = 4096.0; //!< 2^12
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constexpr double TWO_P14 = 16384.0; //!< 2^14
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constexpr double TWO_P16 = 65536.0; //!< 2^16
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constexpr double TWO_P19 = 524288.0; //!< 2^19
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constexpr double TWO_P31 = 2147483648.0; //!< 2^31
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constexpr double TWO_P32 = 4294967296.0; //!< 2^32
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constexpr double TWO_P56 = 7.205759403792794e+016; //!< 2^56
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constexpr double TWO_P57 = 1.441151880758559e+017; //!< 2^57
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constexpr double TWO_N2 = 0.25; //!< 2^-2
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constexpr double TWO_N5 = 0.03125; //!< 2^-5
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constexpr double TWO_N6 = 0.015625; //!< 2^-6
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constexpr double TWO_N8 = 0.00390625; //!< 2^-8
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constexpr double TWO_N9 = 0.001953125; //!< 2^-9
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constexpr double TWO_N10 = 0.0009765625; //!< 2^-10
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constexpr double TWO_N11 = 4.882812500000000e-004; //!< 2^-11
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constexpr double TWO_N14 = 0.00006103515625; //!< 2^-14
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constexpr double TWO_N15 = 3.051757812500000e-005; //!< 2^-15
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constexpr double TWO_N16 = 1.525878906250000e-005; //!< 2^-16
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constexpr double TWO_N17 = 7.629394531250000e-006; //!< 2^-17
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constexpr double TWO_N18 = 3.814697265625000e-006; //!< 2^-18
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constexpr double TWO_N19 = 1.907348632812500e-006; //!< 2^-19
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constexpr double TWO_N20 = 9.536743164062500e-007; //!< 2^-20
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constexpr double TWO_N21 = 4.768371582031250e-007; //!< 2^-21
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constexpr double TWO_N22 = 2.384185791015625e-007; //!< 2^-22
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constexpr double TWO_N23 = 1.192092895507810e-007; //!< 2^-23
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constexpr double TWO_N24 = 5.960464477539063e-008; //!< 2^-24
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constexpr double TWO_N25 = 2.980232238769531e-008; //!< 2^-25
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constexpr double TWO_N26 = 1.490116119384765e-009; //!< 2^-26
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constexpr double TWO_N27 = 7.450580596923828e-009; //!< 2^-27
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constexpr double TWO_N29 = 1.862645149230957e-009; //!< 2^-29
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constexpr double TWO_N30 = 9.313225746154785e-010; //!< 2^-30
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constexpr double TWO_N31 = 4.656612873077393e-010; //!< 2^-31
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constexpr double TWO_N32 = 2.328306436538696e-010; //!< 2^-32
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constexpr double TWO_N33 = 1.164153218269348e-010; //!< 2^-33
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constexpr double TWO_N34 = 5.82076609134674e-011; //!< 2^-34
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constexpr double TWO_N35 = 2.91038304567337e-011; //!< 2^-35
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constexpr double TWO_N38 = 3.637978807091713e-012; //!< 2^-38
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constexpr double TWO_N39 = 1.818989403545856e-012; //!< 2^-39
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constexpr double TWO_N40 = 9.094947017729280e-013; //!< 2^-40
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constexpr double TWO_N43 = 1.136868377216160e-013; //!< 2^-43
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constexpr double TWO_N44 = 5.684341886080802e-14; //!< 2^-44
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constexpr double TWO_N46 = 1.4210854715202e-014; //!< 2^-46
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constexpr double TWO_N48 = 3.552713678800501e-15; //!< 2^-46
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constexpr double TWO_N50 = 8.881784197001252e-016; //!< 2^-50
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constexpr double TWO_N51 = 4.44089209850063e-016; //!< 2^-51
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constexpr double TWO_N55 = 2.775557561562891e-017; //!< 2^-55
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constexpr double TWO_N57 = 6.938893903907228e-18; //!< 2^-57
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constexpr double TWO_N59 = 1.73472347597681e-018; //!< 2^-59
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constexpr double TWO_N60 = 8.673617379884036e-19; //!< 2^-60
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constexpr double TWO_N66 = 1.3552527156068805425093160010874271392822265625e-20; //!< 2^-66
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constexpr double TWO_N68 = 3.388131789017201e-21; //!< 2^-68
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constexpr double PI_TWO_N19 = 5.992112452678286e-006; //!< Pi*2^-19
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constexpr double PI_TWO_N43 = 3.571577341960839e-013; //!< Pi*2^-43
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constexpr double PI_TWO_N31 = 1.462918079267160e-009; //!< Pi*2^-31
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constexpr double PI_TWO_N38 = 1.142904749427469e-011; //!< Pi*2^-38
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constexpr double PI_TWO_N23 = 3.745070282923929e-007; //!< Pi*2^-23
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constexpr double D2R = GNSS_PI / 180.0; //!< deg to rad
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constexpr double R2D = 180.0 / GNSS_PI; //!< rad to deg
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constexpr double SC2RAD = GNSS_PI; //!< semi-circle to radian (IS-GPS)
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constexpr double AS2R = D2R / 3600.0; //!< arc sec to radian
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constexpr double AU = 149597870691.0; //!< 1 Astronomical Unit AU (m) distance from Earth to the Sun.
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/** \} */
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/** \} */
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#endif // GNSS_SDR_MATH_CONSTANTS_H
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