mathlib.h File Reference

#include <cmath>
#include <stdlib.h>

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Defines
#define	PI   3.14159265358979323846
Typedefs
typedef Math< double >	Mathd
typedef Math< float >	Mathf
Functions
template<class T>
T	abs (T x)
template<class T>
T	circleArea (T r)
template<class T>
T	clamp (T x)
template<class T>
T	cube (T x)
template<class T>
T	degToRad (T d)
template<class T>
T	pfmod (T x, T y)
template<class T>
T	radToDeg (T r)
template<class T>
T	sign (T x)
template<class T>
T	sphereArea (T r)
template<class T>
T	square (T x)

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Define Documentation

#define PI   3.14159265358979323846

Definition at line 16 of file mathlib.h. Referenced by astro::anomaly(), Body::cartesianToPlanetocentric(), circleArea(), Observer::computeCenterCOParameters(), computePlanetCoords(), VSOP87Orbit::computePosition(), CallistoOrbit::computePosition(), GanymedeOrbit::computePosition(), EuropaOrbit::computePosition(), IoOrbit::computePosition(), PlutoOrbit::computePosition(), NeptuneOrbit::computePosition(), UranusOrbit::computePosition(), SaturnOrbit::computePosition(), JupiterOrbit::computePosition(), MarsOrbit::computePosition(), LunarOrbit::computePosition(), EarthOrbit::computePosition(), VenusOrbit::computePosition(), MercuryOrbit::computePosition(), SphereMesh::createSphere(), degToRad(), EclipseFinderProc(), eclipseGoto(), EclipticToEquatorial(), astro::equatorialToCelestialCart(), RotationElements::equatorialToPlanetographic(), Body::getEquatorialToGeographic(), UranianSatelliteOrbit::getPeriod(), Observer::getSelectionLongLat(), Url::goTo(), EclipseFinderDlg::gotoEclipse(), Observer::gotoSelectionLongLat(), InitTrigArrays(), log(), NoiseDisplacementFunc(), Observer::Observer(), Universe::pickDeepSkyObject(), Universe::pickStar(), Body::planetocentricToCartesian(), EllipticalOrbit::positionAtTime(), radToDeg(), renderAtmosphere(), renderBumpMappedMesh(), Renderer::renderCometTail(), renderCompass(), Renderer::renderEllipsoidAtmosphere(), Galaxy::renderGalaxyEllipsoid(), Renderer::renderObject(), Renderer::renderPlanet(), renderRings(), renderRings_GLSL(), renderSmoothMesh(), Renderer::renderStar(), Observer::reverseOrientation(), EllipticalOrbit::sample(), sphereArea(), StateVectorToOrbit(), and Observer::update().

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Typedef Documentation

typedef Math<double> Mathd

Definition at line 34 of file mathlib.h.

typedef Math<float> Mathf

Definition at line 33 of file mathlib.h.

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Function Documentation

template<class T> T abs (  T  x  )

Definition at line 47 of file mathlib.h. Referenced by astro::anomaly(), confAmbientLight(), confGalaxyLightGain(), confVisualMagnitude(), displayDistance(), displayLocationInfo(), distance(), dsoStraddlesNodesPredicate(), SelectionPopup::init(), CelestiaCore::joystickAxis(), CelestiaCore::mouseButtonDown(), CelestiaCore::mouseMove(), SolveKeplerLaguerreConwayHyp::operator()(), SolveKeplerLaguerreConway::operator()(), operator/(), pfmod(), ProcessCometTailVertex(), renderAtmosphere(), Renderer::renderBodyAsParticle(), Renderer::renderCometTail(), Renderer::renderEllipsoidAtmosphere(), Galaxy::renderGalaxyPointSprites(), CelestiaCore::renderOverlay(), renderRingShadowsVS(), Quaternion< T >::slerp(), solve_iteration(), starOrbitStraddlesNodes(), starOrbitStraddlesNodesPredicate(), and syncMenusWithRendererState(). { return (x < 0) ? -x : x; }

template<class T> T circleArea (  T  r  )

Definition at line 93 of file mathlib.h. References PI. Referenced by Body::getLuminosity(). { return (T) PI * r * r; }

template<class T> T clamp (  T  x  )

Definition at line 62 of file mathlib.h. Referenced by Color::Color(), StarRenderer::process(), Renderer::renderBodyAsParticle(), Renderer::renderEllipsoidAtmosphere(), Galaxy::renderGalaxyPointSprites(), Renderer::renderObject(), CelestiaCore::renderOverlay(), and Observer::update(). { if (x < 0) return 0; else if (x > 1) return 1; else return x; }

template<class T> T cube (  T  x  )

Definition at line 57 of file mathlib.h. Referenced by IapetusOrbit::computePosition(), and StateVectorToOrbit(). { return x * x * x; }

template<class T> T degToRad (  T  d  )

Definition at line 37 of file mathlib.h. References PI. Referenced by Renderer::calcPixelSize(), computePlanetCoords(), JPLEphOrbit::computePosition(), TritonOrbit::computePosition(), UranianSatelliteOrbit::computePosition(), CallistoOrbit::computePosition(), GanymedeOrbit::computePosition(), EuropaOrbit::computePosition(), IoOrbit::computePosition(), DeimosOrbit::computePosition(), PhobosOrbit::computePosition(), PlutoOrbit::computePosition(), NeptuneOrbit::computePosition(), UranusOrbit::computePosition(), SaturnOrbit::computePosition(), JupiterOrbit::computePosition(), MarsOrbit::computePosition(), LunarOrbit::computePosition(), EarthOrbit::computePosition(), VenusOrbit::computePosition(), MercuryOrbit::computePosition(), cosD(), createEllipticalOrbit(), CreateEllipticalOrbit(), CreatePlanet(), createRotation(), DSORenderer::DSORenderer(), EpochConvert(), FillinRotationElements(), AssociativeArray::getRotation(), Url::goTo(), GotoObject(), GotoObjectProc(), CelestiaCore::initSimulation(), DeepSkyObject::load(), main(), meanAnomalySun(), Nutation(), Obliquity(), observer_setfov(), CommandParser::parseCommand(), Body::planetocentricToCartesian(), CommandSet::process(), Renderer::render(), Renderer::renderDeepSkyObjects(), Renderer::renderObject(), Renderer::renderStars(), SampledOrbit::sample(), SaturnMoonPosition(), sinD(), and LongLatDialog::slotApply(). { return d / 180 * static_cast<T>(PI); }

template<class T> T pfmod (  T  x, T  y )

Definition at line 84 of file mathlib.h. References abs(). Referenced by auxJSun(), computePlanetCoords(), computePlanetElements(), CallistoOrbit::computePosition(), GanymedeOrbit::computePosition(), EuropaOrbit::computePosition(), IoOrbit::computePosition(), NeptuneOrbit::computePosition(), UranusOrbit::computePosition(), LunarOrbit::computePosition(), EarthOrbit::computePosition(), EclipticToEquatorial(), and Renderer::renderObject(). { int quotient = (int) abs(x / y); if (x < 0.0) return x + (quotient + 1) * y; else return x - quotient * y; }

template<class T> T radToDeg (  T  r  )

Definition at line 42 of file mathlib.h. References PI. Referenced by computePlanetCoords(), TitanOrbit::computePosition(), RheaOrbit::computePosition(), displayApparentDiameter(), displayLocationInfo(), Observer::getSelectionLongLat(), CelestiaCore::mouseMove(), OuterSaturnMoonParams(), Renderer::render(), CelestiaCore::renderOverlay(), showSelectionInfo(), StateVectorToOrbit(), and Url::Url(). { return r * 180 / static_cast<T>(PI); }

template<class T> T sign (  T  x  )

Definition at line 72 of file mathlib.h. Referenced by BigFix::BigFix(), CelestiaCore::deleteView(), EllipticalOrbit::eccentricAnomaly(), CelestiaCore::joystickAxis(), celx::Scanner::nextToken(), Tokenizer::nextToken(), SolveKeplerLaguerreConwayHyp::operator()(), SolveKeplerLaguerreConway::operator()(), CelestiaCore::renderOverlay(), StarBrowserCompareFunc(), View::walkTreeResize(), and View::walkTreeResizeDelta(). { if (x < 0) return -1; else if (x > 0) return 1; else return 0; }

template<class T> T sphereArea (  T  r  )

Definition at line 98 of file mathlib.h. References PI. Referenced by Body::getLuminosity(). { return 4 * (T) PI * r * r; }

template<class T> T square (  T  x  )

Definition at line 52 of file mathlib.h. Referenced by UranianSatelliteOrbit::computePosition(), IapetusOrbit::computePosition(), TitanOrbit::computePosition(), RheaOrbit::computePosition(), UniversalCoord::distanceTo(), ellipsePosition(), ellipsoidTangent(), Star::getRadius(), CelestiaCore::joystickAxis(), OuterSaturnMoonParams(), EllipticalOrbit::positionAtE(), ProcessCometTailVertex(), Renderer::render(), renderAtmosphere(), Renderer::renderCometTail(), Renderer::renderEllipsoidAtmosphere(), renderRings(), renderRings_GLSL(), StateVectorToOrbit(), and testIntersection(). { return x * x; }

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