llmath.h File Reference

Useful math constants and macros. More...

#include <cmath>
#include "lldefs.h"

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Defines

#define llisnan(val)   std::isnan(val)

#define llfinite(val)   std::isfinite(val)

#define fsqrtf(x)   ((F32)sqrt((F64)(x)))

#define sqrtf(x)   ((F32)sqrt((F64)(x)))

#define cosf(x)   ((F32)cos((F64)(x)))

#define sinf(x)   ((F32)sin((F64)(x)))

#define tanf(x)   ((F32)tan((F64)(x)))

#define acosf(x)   ((F32)acos((F64)(x)))

#define powf(x, y)   ((F32)pow((F64)(x),(F64)(y)))

#define LL_EXP_INDEX   0

#define LL_MAN_INDEX   1

#define LL_EXP_A   (1048576 * OO_LN2)

#define LL_EXP_C   (60801)

#define LL_FAST_EXP(y)   (LLECO.n.i = llround(F32(LL_EXP_A*(y))) + (1072693248 - LL_EXP_C), LLECO.d)

Functions

BOOL is_approx_zero (F32 f)

BOOL is_approx_equal (F32 x, F32 y)

BOOL is_approx_equal (F64 x, F64 y)

BOOL is_approx_equal_fraction (F32 x, F32 y, U32 frac_bits)

BOOL is_approx_equal_fraction (F64 x, F64 y, U32 frac_bits)

S32 llabs (const S32 a)

F32 llabs (const F32 a)

F64 llabs (const F64 a)

S32 lltrunc (F32 f)

S32 lltrunc (F64 f)

S32 llfloor (F32 f)

S32 llceil (F32 f)

S32 llround (const F32 val)

F32 llround (F32 val, F32 nearest)

F64 llround (F64 val, F64 nearest)

F32 fastMagnitude (F32 a, F32 b)

F32 llfastpow (const F32 x, const F32 y)

F32 snap_to_sig_figs (F32 foo, S32 sig_figs)

F32 lerp (F32 a, F32 b, F32 u)

F32 lerp2d (F32 x00, F32 x01, F32 x10, F32 x11, F32 u, F32 v)

F32 ramp (F32 x, F32 a, F32 b)

F32 rescale (F32 x, F32 x1, F32 x2, F32 y1, F32 y2)

F32 clamp_rescale (F32 x, F32 x1, F32 x2, F32 y1, F32 y2)

F32 cubic_step (F32 x, F32 x0, F32 x1, F32 s0, F32 s1)

F32 cubic_step (F32 x)

F32 quadratic_step (F32 x, F32 x0, F32 x1, F32 s0, F32 s1)

F32 llsimple_angle (F32 angle)

U32 get_nearest_power_two (U32 val, U32 max_power_two)

Variables

const F32 GRAVITY = -9.8f

const F32 F_PI = 3.1415926535897932384626433832795f

const F32 F_TWO_PI = 6.283185307179586476925286766559f

const F32 F_PI_BY_TWO = 1.5707963267948966192313216916398f

const F32 F_SQRT2 = 1.4142135623730950488016887242097f

const F32 F_SQRT3 = 1.73205080756888288657986402541f

const F32 OO_SQRT2 = 0.7071067811865475244008443621049f

const F32 DEG_TO_RAD = 0.017453292519943295769236907684886f

const F32 RAD_TO_DEG = 57.295779513082320876798154814105f

const F32 F_APPROXIMATELY_ZERO = 0.00001f

const F32 F_LN2 = 0.69314718056f

const F32 OO_LN2 = 1.4426950408889634073599246810019f

const F32 FP_MAG_THRESHOLD = 0.0000001f

const F32 FAST_MAG_ALPHA = 0.960433870103f

const F32 FAST_MAG_BETA = 0.397824734759f

const F64 LL_DOUBLE_TO_FIX_MAGIC = 68719476736.0*1.5

const S32 LL_SHIFT_AMOUNT = 16

union {

   double   d

   struct {

      S32   i

      S32   j

   }   n

} LLECO

Detailed Description

Useful math constants and macros.

LicenseInfo: firstyear=2000&license=viewergpl

Second Life Viewer Source Code The source code in this file ("Source Code") is provided by Linden Lab to you under the terms of the GNU General Public License, version 2.0 ("GPL"), unless you have obtained a separate licensing agreement ("Other License"), formally executed by you and Linden Lab. Terms of the GPL can be found in doc/GPL-license.txt in this distribution, or online at http://secondlifegrid.net/programs/open_source/licensing/gplv2

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Definition in file llmath.h.

Define Documentation

#define acosf ( x ) ((F32)acos((F64)(x)))

Definition at line 74 of file llmath.h.

Referenced by slerp().

#define cosf ( x ) ((F32)cos((F64)(x)))

Definition at line 65 of file llmath.h.

Referenced by calc_bouncy_animation(), LLQuaternion::constrain(), gl_arc_2d(), gl_deep_circle(), LLQuaternion::LLQuaternion(), pulse_func(), LLVisualParamHint::render(), LLQuaternion::setAngleAxis(), LLQuaternion::setQuat(), setup_patch_cosines(), and setup_patch_icosines().

#define fsqrtf ( x ) ((F32)sqrt((F64)(x)))

#define LL_EXP_A (1048576 * OO_LN2)

Definition at line 368 of file llmath.h.

#define LL_EXP_C (60801)

Definition at line 369 of file llmath.h.

#define LL_EXP_INDEX 0

Definition at line 325 of file llmath.h.

#define LL_FAST_EXP ( y ) (LLECO.n.i = llround(F32(LL_EXP_A*(y))) + (1072693248 - LL_EXP_C), LLECO.d)

Definition at line 371 of file llmath.h.

Referenced by LLHaze::calcFalloff(), LLColor3::exp(), llfastpow(), and LLFastLn::pow().

#define LL_MAN_INDEX 1

Definition at line 326 of file llmath.h.

#define llfinite ( val ) std::isfinite(val)

#define llisnan ( val ) std::isnan(val)

Definition at line 52 of file llmath.h.

Referenced by LLSDUnnamedNamespace::ImplReal::asBoolean(), and LLSDUnnamedNamespace::ImplReal::asInteger().

#define powf	(	x,
		y		)	((F32)pow((F64)(x),(F64)(y)))

Definition at line 78 of file llmath.h.

Referenced by LLVOSky::calcSkyColorInDir().

#define sinf ( x ) ((F32)sin((F64)(x)))

Definition at line 68 of file llmath.h.

Referenced by LLQuaternion::constrain(), LLFastTimerView::draw(), gl_arc_2d(), gl_deep_circle(), LLQuaternion::LLQuaternion(), LLBreatheMotionRot::onUpdate(), LLVisualParamHint::render(), renderBoundingBox(), LLQuaternion::setAngleAxis(), LLQuaternion::setQuat(), LLTreeParams::ShapeRatio(), and slerp().

#define sqrtf ( x ) ((F32)sqrt((F64)(x)))

Definition at line 61 of file llmath.h.

Referenced by LLVOVolume::computeLODDetail(), LLQuaternion::constrain(), LLManipRotate::dragConstrained(), LLWorldMapView::drawTrackingCircle(), LLCamera::getPitch(), LLVoiceClient::getUserVolume(), LLManipRotate::handleMouseDownOnPart(), LLQuaternion::normalize(), LLQuaternion::normQuat(), LLManipTranslate::renderGrid(), LLAgent::startAutoPilotGlobal(), and LLVOAvatar::updateCharacter().

#define tanf ( x ) ((F32)tan((F64)(x)))

Definition at line 71 of file llmath.h.

Referenced by LLCamera::calculateFrustumPlanes(), LLCamera::calculateFrustumPlanesFromWindow(), gl_perspective(), and LLViewerCamera::updateCameraLocation().

Function Documentation

F32 clamp_rescale	(	F32	x,
		F32	x1,
		F32	x2,
		F32	y1,
		F32	y2
	)			`[inline]`

Definition at line 420 of file llmath.h.

References llclamp(), and rescale().

Referenced by LLKeyframeMotion::applyConstraint(), LLFolderView::autoOpenTest(), LLAgent::calcFocusOffset(), LLViewerImageList::calcMaxTextureRAM(), LLProgressView::draw(), LLFolderViewItem::draw(), LLSnapshotLivePreview::draw(), LLDebugVarMessageBox::draw(), LLPieMenu::draw(), LLScrollListCtrl::drawItems(), LLAgent::getCameraZoomFraction(), LLFocusMgr::getFocusFlashAmt(), LLToolGun::handleHover(), LLVOAvatar::idleUpdate(), LLFlyAdjustMotion::onUpdate(), LLKeyframeFallMotion::onUpdate(), LLEditingMotion::onUpdate(), LLFontGL::render(), LLHUDIcon::renderIcon(), LLManipTranslate::renderSnapGuides(), LLManipScale::renderSnapGuides(), LLSpeakerMgr::update(), LLVOAvatar::updateCharacter(), LLVOAvatar::updateJointLODs(), and LLVOAvatar::updateShadowFaces().

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F32 cubic_step ( F32 x ) [inline]

Definition at line 446 of file llmath.h.

References llclampf().

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F32 cubic_step	(	F32	x,
		F32	x0,
		F32	x1,
		F32	s0,
		F32	s1
	)			`[inline]`

Definition at line 433 of file llmath.h.

Referenced by LLMotionController::updateMotionsByType().

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F32 fastMagnitude	(	F32	a,
		F32	b
	)			`[inline]`

Definition at line 302 of file llmath.h.

References llmax(), and llmin().

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U32 get_nearest_power_two	(	U32	val,
		U32	max_power_two
	)			`[inline]`

Definition at line 477 of file llmath.h.

Referenced by LLFloaterSnapshot::Impl::checkImageSize(), and LLSnapshotLivePreview::generateThumbnailImage().

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BOOL is_approx_equal	(	F64	x,
		F64	y
	)			`[inline]`

Definition at line 108 of file llmath.h.

References S32.

BOOL is_approx_equal	(	F32	x,
		F32	y
	)			`[inline]`

Definition at line 102 of file llmath.h.

References S32.

Referenced by LLManipScale::renderSnapGuides().

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BOOL is_approx_equal_fraction	(	F64	x,
		F64	y,
		U32	frac_bits
	)			`[inline]`

Definition at line 135 of file llmath.h.

References FALSE, S32, and TRUE.

BOOL is_approx_equal_fraction	(	F32	x,
		F32	y,
		U32	frac_bits
	)			`[inline]`

Definition at line 114 of file llmath.h.

References FALSE, S32, and TRUE.

Referenced by tut::ensure_approximately_equals().

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BOOL is_approx_zero ( F32 f ) [inline]

Definition at line 100 of file llmath.h.

References F_APPROXIMATELY_ZERO.

Referenced by LLManipRotate::dragUnconstrained(), LLTexLayerParamAlpha::getSkip(), LLTexLayer::render(), and LLManipScale::stretchFace().

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F32 lerp	(	F32	a,
		F32	b,
		F32	u
	)			`[inline]`

Definition at line 397 of file llmath.h.

Referenced by LLFloaterChat::addChatHistory(), LLKeyframeMotion::applyConstraint(), LLFolderViewFolder::arrange(), LLInventoryModel::backgroundFetch(), LLJointStateBlender::blendJointStates(), LLAgent::calcCameraPositionTargetGlobal(), LLAgent::calcCustomizeAvatarUIOffset(), LLAgent::calcFocusOffset(), LLWorldMapView::draw(), LLVoiceRemoteCtrl::draw(), LLFloaterTexturePicker::draw(), LLNetMap::draw(), LLFolderViewFolder::draw(), LLFloaterWorldMap::draw(), LLSnapshotLivePreview::draw(), LLFloaterColorPicker::draw(), LLFastTimerView::draw(), LLConsole::draw(), LLTabContainer::draw(), LLScrollbar::draw(), LLTearOffMenu::draw(), LLMenuHolderGL::draw(), LLButton::draw(), LLViewBorder::drawOnePixelLines(), LLMotion::fadeIn(), LLMotion::fadeOut(), LLTexLayer::findNetColor(), LLPath::generate(), LLPath::genNGon(), LLProfile::genNGon(), LLProfile::genNormals(), LLTexGlobalColor::getColor(), LLFocusMgr::getFocusColor(), LLFocusMgr::getFocusFlashWidth(), LLSelectMgr::getGrid(), gl_draw_scaled_image_with_border(), LLMenuGL::handleHover(), LLManipScale::highlightManipulators(), LLVOAvatar::idleUpdate(), LLKeyframeMotion::PositionCurve::interp(), LLKeyframeMotion::ScaleCurve::interp(), LLJointStateBlender::interpolate(), LLFlyAdjustMotion::onUpdate(), LLWalkAdjustMotion::onUpdate(), LLHeadRotMotion::onUpdate(), LLBVHLoader::optimize(), LLVolumeImplFlexible::remapSections(), LLManipRotate::render(), renderTexturePriority(), LLManipTranslate::renderTranslationHandles(), rescale(), LLAgent::resetView(), LLVolumeImplFlexible::setAttributesOfAllSections(), LLUI::setLineWidth(), setup_hud_matrices(), LLPipeline::setupAvatarLights(), LLFollowCam::update(), LLSpeakerMgr::update(), LLHUDText::updateAll(), LLAgent::updateCamera(), LLVOAvatar::updateCharacter(), LLViewerJointMesh::updateGeometryOriginal(), LLVOAvatar::updateHeadOffset(), LLLayoutStack::updateLayout(), LLHUDText::updateSize(), and LLDrawable::updateXform().

F32 lerp2d	(	F32	x00,
		F32	x01,
		F32	x10,
		F32	x11,
		F32	u,
		F32	v
	)			`[inline]`

Definition at line 402 of file llmath.h.

References r.

F64 llabs ( const F64 a ) [inline]

Definition at line 166 of file llmath.h.

F32 llabs ( const F32 a ) [inline]

Definition at line 161 of file llmath.h.

S32 llabs ( const S32 a ) [inline]

Definition at line 156 of file llmath.h.

References S32.

Referenced by LLKeyframeMotion::applyConstraint(), LLFolderViewFolder::arrange(), LLAgent::calcCameraPositionTargetGlobal(), LLAgent::calcFocusOffset(), LLManipRotate::dragConstrained(), LLManipScale::dragFace(), LLTracker::drawMarker(), LLWorldMapView::drawTrackingArrow(), LLView::findSnapEdge(), LLColumnHeader::findSnapEdge(), LLViewerRegion::getCompositionXY(), LLManip::getMousePointOnPlaneGlobal(), LLTextEditor::getSelectionRange(), LLLineEditor::getSelectionRange(), LLPanelFace::getState(), gl_segmented_rect_2d_fragment_tex(), gl_segmented_rect_2d_tex(), LLToolCamera::handleHover(), LLManipTranslate::handleHover(), LLMenuBarGL::handleHover(), LLMenuGL::handleHover(), LLManipRotate::handleMouseDownOnPart(), LLManipTranslate::highlightManipulators(), LLManipRotate::highlightManipulators(), LLToolDragAndDrop::isOverThreshold(), LLViewerWindow::mousePointOnPlaneGlobal(), LLViewerWindow::performPick(), LLFloaterPay::processPayPriceReply(), LLViewerImage::processTextureStats(), LLViewerWindow::rawSnapshot(), LLManipScale::renderAxisHandle(), LLManipTranslate::renderSnapGuides(), LLManipScale::renderSnapGuides(), LLHUDText::renderText(), LLManip::renderTickValue(), LLManipTranslate::renderTranslationHandles(), LLFloaterView::reshapeFloater(), LLBufferArray::seek(), LLTextureFetch::sendRequestListToSimulators(), LLDebugVarMessageBox::show(), LLHUDText::updateScreenPos(), LLManipScale::updateSnapGuides(), and LLManipRotate::updateVisiblity().

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S32 llceil ( F32 f ) [inline]

Definition at line 217 of file llmath.h.

References S32.

Referenced by LLFolderView::arrange(), LLVOSurfacePatch::createDrawable(), LLViewerWindow::draw(), LLTearOffMenu::draw(), LLProfile::generate(), LLVolume::generateFaceMask(), LLNotifyBox::getNotifyTipRect(), LLFontGL::maxDrawableChars(), LLViewerWindow::rawSnapshot(), LLFloaterBuyLandUI::refreshUI(), LLFontGL::render(), render_ui_2d(), LLManipScale::renderSnapGuides(), LLViewerWindow::reshape(), LLViewerCamera::setPerspective(), setup_hud_matrices(), and LLScreenClipRect::updateScissorRegion().

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F32 llfastpow	(	const F32	x,
		const F32	y
	)			`[inline]`

Definition at line 375 of file llmath.h.

References LL_FAST_EXP, and indra::base::lllog::log().

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S32 llfloor ( F32 f ) [inline]

Definition at line 197 of file llmath.h.

References S32.

Referenced by LLProfile::addHole(), LLToolView::addTool(), LLFloaterWorldMap::adjustZoomSliderBounds(), LLViewerTextureAnim::animateTextures(), LLAgent::calcFocusOffset(), LLFloaterWorldMap::centerOnTarget(), LLFontGL::charFromPixelOffset(), LLPartSysData::clampSourceParticleRate(), LLImageRaw::copyLineScaled(), LLAlertDialog::createDialog(), LLVOSurfacePatch::createDrawable(), LLVolumeFace::createSide(), LLWorldMapView::draw(), LLVoiceRemoteCtrl::draw(), LLGLTexMemBar::draw(), LLTextureBar::draw(), LLStatBar::draw(), LLPreviewTexture::draw(), LLNetMap::draw(), LLHoverView::draw(), LLFrameStatView::draw(), LLFolderViewItem::draw(), LLPanelVoiceDeviceSettings::draw(), LLFastTimerView::draw(), LLConsole::draw(), LLTextEditor::drawCursor(), LLTextBox::drawText(), LLWorldMapView::drawTracking(), LLWorldMapView::drawTrackingArrow(), LLSurfacePatch::eval(), F32_to_U16(), F32_to_U8(), LLVorbisDecodeState::finishDecode(), LLFontGL::firstDrawableChar(), LLPath::generate(), LLProfile::generate(), LLVLComposition::generateTexture(), LLWind::getCloudVelocity(), LLManip::getSubdivisionLevel(), LLViewerLayer::getValueScaled(), LLWind::getVelocity(), LLFontGL::getWidthF32(), gl_rect_2d_offset_local(), LLWorldMapView::handleMouseUp(), LLVOAvatar::idleUpdate(), LLFontGL::initDefaultFonts(), LLGradientPaletteList::initPalette(), LLGroupNotifyBox::LLGroupNotifyBox(), llround(), LLFastLn::ln(), LLFontGL::maxDrawableChars(), LLPanelLandAccess::onCommitAny(), LLFloaterSnapshot::Impl::onCommitCustomResolution(), LLFloaterAnimPreview::onCommitPriority(), LLFloaterSnapshot::Impl::onCommitQuality(), post_show_depth_buffer(), LLFloaterNameDesc::postBuild(), LLViewerWindow::rawSnapshot(), LLPanelActiveSpeakers::refreshSpeakers(), LLFontGL::render(), LLToolBrushLand::renderOverlay(), LLManipTranslate::renderSnapGuides(), LLHUDText::renderText(), LLConsole::reshape(), LLSurface::resolveHeightRegion(), LLPanelGroupVoting::impl::sendStartGroupProposal(), LLAlertDialog::setCheckBox(), LLGradientPaletteList::setHardwarePalette(), LLMotionController::setTimeStep(), LLComboBox::showList(), LLFolderView::startRenamingSelectedItem(), LLViewerJointMesh::updateGeometryOriginal(), LLViewerJointMesh::updateGeometryVectorized(), LLMotionController::updateMotion(), LLWorld::updateNetStats(), LLScreenClipRect::updateScissorRegion(), LLWorldMapView::viewPosToGlobal(), and windCallback().

F64 llround	(	F64	val,
		F64	nearest
	)			`[inline]`

Definition at line 279 of file llmath.h.

F32 llround	(	F32	val,
		F32	nearest
	)			`[inline]`

Definition at line 274 of file llmath.h.

S32 llround ( const F32 val ) [inline]

Definition at line 226 of file llmath.h.

References llfloor().

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F32 llsimple_angle ( F32 angle ) [inline]

Definition at line 467 of file llmath.h.

References F_PI, and F_TWO_PI.

S32 lltrunc ( F64 f ) [inline]

Definition at line 192 of file llmath.h.

References S32.

S32 lltrunc ( F32 f ) [inline]

F32 quadratic_step	(	F32	x,
		F32	x0,
		F32	x1,
		F32	s0,
		F32	s1
	)			`[inline]`

Definition at line 453 of file llmath.h.

F32 ramp	(	F32	x,
		F32	a,
		F32	b
	)			`[inline]`

Definition at line 410 of file llmath.h.

Referenced by rescale().

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F32 rescale	(	F32	x,
		F32	x1,
		F32	x2,
		F32	y1,
		F32	y2
	)			`[inline]`

Definition at line 415 of file llmath.h.

References lerp(), and ramp().

Referenced by clamp_rescale(), LLSnapshotLivePreview::draw(), and LLAgent::setCameraZoomFraction().

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F32 snap_to_sig_figs	(	F32	foo,
		S32	sig_figs
	)			`[inline]`

Definition at line 381 of file llmath.h.

References llround(), and S32.

Referenced by LLVector3::snap().

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Variable Documentation

const F32 DEG_TO_RAD = 0.017453292519943295769236907684886f

Definition at line 90 of file llmath.h.

Referenced by LLToolPlacer::addObject(), LLPanelFaceSetTEFunctor::apply(), LLFollowCam::calculatePitchSineAndCosine(), LLAgent::cameraOrbitOver(), LLAgent::clampPitchToLimits(), LLVolumeImplFlexible::doIdleUpdate(), LLManipRotate::dragConstrained(), LLVOTree::drawBranchPipeline(), gl_perspective(), LLLandBuild::handleEvent(), LLObjectEdit::handleEvent(), LLObjectBuild::handleEvent(), LLToolCamera::handleHover(), LLManipTranslate::handleHover(), LLToolGrab::handleHoverActive(), LLToolGrab::handleHoverInactive(), LLManipRotate::handleMouseDownOnPart(), LLViewerWindow::hitObjectOrLandGlobalAsync(), LLViewerWindow::hitUIElementAsync(), lat2xyz(), LLVOAvatar::loadSkeletonNode(), mayaQ(), LLBodyNoiseMotion::onUpdate(), LLEyeMotion::onUpdate(), LLAgent::propagate(), LLVisualParamHint::render(), LLManipRotate::renderSnapGuides(), LLDrawPoolTree::renderTree(), LLSelectMgr::selectionRotateAroundZ(), LLPanelObject::sendRotation(), toggle_build_mode(), LLWLParamManager::update(), LLAgent::updateCamera(), LLVOAvatar::updateCharacter(), LLVOTree::updateGeometry(), LLAgent::updateLookAt(), and LLVOSky::updateSky().

const F32 F_APPROXIMATELY_ZERO = 0.00001f

Definition at line 92 of file llmath.h.

Referenced by LLVOSky::calcSkyColorWLVert(), is_approx_zero(), LLVector3::isNull(), LLVector3d::isNull(), LLVector2::isNull(), LLManip::nearestPointOnLineFromMouse(), and LLQuaternion::shortestArc().

const F32 F_LN2 = 0.69314718056f

Definition at line 93 of file llmath.h.

const F32 F_PI = 3.1415926535897932384626433832795f

Definition at line 84 of file llmath.h.

Referenced by angle_between(), LLAgent::autoPilot(), azimuth(), LLVOWLSky::buildFanBuffer(), calc_air_sca_sea_level(), calc_bouncy_animation(), LLVOWLSky::calcPhi(), LLVOSky::calcSkyColorWLVert(), LLVolumeImplFlexible::doFlexibleUpdate(), LLNetMap::draw(), LLHorizontalCompass::draw(), LLPieMenu::draw(), LLPieMenu::drawBackground(), LLWorldMapView::drawTrackingCircle(), LLPath::generate(), LLPath::genNGon(), LLProfile::genNGon(), LLQuaternion::getAngleAxis(), LLWLAnimator::getDayTime(), LLLandEdit::handleEvent(), LLVOGrass::initClass(), llsimple_angle(), LLAudioEngine::mapWindVecToPan(), LLAudioEngine::mapWindVecToPitch(), LLWLParamSet::mix(), LLHUDEffectBeam::render(), LLManipRotate::renderSnapGuides(), LLVolume::sculptGeneratePlaceholder(), send_agent_update(), LLVolumeImplFlexible::setAttributesOfAllSections(), setup_patch_cosines(), setup_patch_icosines(), LLTreeParams::ShapeRatio(), LLJointSolverRP3::solve(), LLViewerPartSourceScript::update(), and LLVOSky::updateHeavenlyBodyGeometry().

const F32 F_PI_BY_TWO = 1.5707963267948966192313216916398f

Definition at line 86 of file llmath.h.

Referenced by calc_bouncy_animation(), LLManipRotate::dragConstrained(), LLManipRotate::dragUnconstrained(), LLNetMap::draw(), LLWorldMapView::drawTrackingCircle(), hud_render_text(), lat2xyz_rad(), LLTargetingMotion::onUpdate(), LLEyeMotion::onUpdate(), LLImagePreviewSculpted::rotate(), LLImagePreviewAvatar::rotate(), and LLPreviewAnimation::rotate().

const F32 F_SQRT2 = 1.4142135623730950488016887242097f

Definition at line 87 of file llmath.h.

Referenced by LLVOAvatar::computeBodySize(), LLManipScale::edgeToUnitVector(), LLAgent::handleScrollWheel(), LLEditingMotion::onUpdate(), ray_tetrahedron(), and LLWorld::updateVisibilities().

const F32 F_SQRT3 = 1.73205080756888288657986402541f

Definition at line 88 of file llmath.h.

Referenced by LLAgent::calcCameraMinDistance(), LLManipScale::cornerToUnitVector(), LLViewerPartGroup::LLViewerPartGroup(), ray_tetrahedron(), and LLDrawPoolWLSky::renderDome().

const F32 FAST_MAG_ALPHA = 0.960433870103f

Definition at line 290 of file llmath.h.

const F32 FAST_MAG_BETA = 0.397824734759f

Definition at line 291 of file llmath.h.

const F32 FP_MAG_THRESHOLD = 0.0000001f

Definition at line 97 of file llmath.h.

Referenced by LLVector4::normalize(), LLVector3::normalize(), LLVector2::normalize(), LLQuaternion::normalize(), LLQuaternion::normQuat(), LLVector4::normVec(), LLVector3::normVec(), LLVector3d::normVec(), and LLVector2::normVec().

const F32 GRAVITY = -9.8f

Definition at line 81 of file llmath.h.

Referenced by LLViewerPartGroup::updateParticles().

S32 i

Definition at line 363 of file llmath.h.

S32 j

Definition at line 363 of file llmath.h.

Referenced by LLMatrix3::add(), LLStringBase< T >::addCRLF(), LLParticlePartition::addGeometryCount(), LLProfile::addHole(), LLJointStateBlender::addJointState(), base32_encode(), LLPipeline::blurReflectionMap(), build_copy_matrix(), build_decopy_matrix(), build_patch_dequantize_table(), build_patch_quantize_table(), LLVOWLSky::buildStripsBuffer(), LLSurfacePatch::calcNormal(), LLGLState::checkClientArrays(), LLGLState::checkTextureChannels(), LLCullResult::clear(), code_patch(), code_patch_header(), compress_patch(), LLSkyTex::create(), LLVolumeFace::createBinormals(), LLPipeline::createGLBuffers(), LLSurface::createPatchData(), LLVolumeFace::createSide(), LLSurface::createSTexture(), LLSurface::createWaterTexture(), LLMD5::decode(), decode_patch(), LLImageTGA::decodeColorMap(), LLWind::decompress(), decompress_patch(), decompress_patchv(), LLSurface::decompressDCTPatch(), LLKeyframeMotion::deserialize(), LLCloudLayer::destroy(), LLSpatialGroup::destroyGL(), LLFrameStatView::draw(), LLFastTimerView::draw(), LLFrameStats::dump(), earlyFail(), LLMD5::encode(), LLImageTGA::encode(), tut::ensure_equals(), LLCloudLayer::findCloudGroup(), forAllDrawables(), LLVLComposition::generateHeights(), LLVolume::generateSilhouetteVertices(), LLVLComposition::generateTexture(), LLSurface::generateWaterTexture(), LLFace::genVolumeBBoxes(), LLWind::getCloudVelocity(), LLCloudLayer::getDensityRegion(), LLWind::getVelocity(), gl_rect_2d_checkerboard(), LLToolBrushLand::handleMouseDown(), init(), LLPatchVertexArray::init(), LLScriptExecute::init(), LLPerlinNoise::init(), init_supported_expressions(), LLViewerImage::initClass(), LLSkyTex::initEmpty(), LLMatrix4::invert(), LLVolume::lineSegmentIntersect(), LLCloudLayer::LLCloudLayer(), LLBVHLoader::loadBVHFile(), LLPolyMeshSharedData::loadMesh(), lsa_bubble_sort(), LLToolBrushLand::modifyLandInSelectionGlobal(), LLViewerWindow::mousePointOnLandGlobal(), noise2(), LLPerlinNoise::noise2(), noise3(), LLPerlinNoise::noise3(), LLBumpImageList::onSourceLoaded(), operator!=(), operator*(), operator*=(), operator+=(), operator-=(), operator==(), parse_args(), LLPipeline::postSort(), prescan_patch(), LLScriptLSOParse::printStates(), pushBufferVerts(), pushVerts(), pushVertsColorCoded(), LLMatrix4::quaternion(), LLMatrix3::quaternion(), LLSpatialGroup::rebound(), LLVolumeGeometryManager::rebuildGeom(), LLInvFVBridge::removeBatch(), LLManipScale::renderCorners(), LLPipeline::renderForSelect(), renderOctree(), LLToolBrushLand::renderOverlay(), LLViewerParcelOverlay::renderPropertyLines(), LLDrawPoolTree::renderTree(), LLWind::renderVectors(), LLStringBase< T >::replaceTabsWithSpaces(), LLGLState::resetTextureStates(), LLSurface::resolveNormalGlobal(), LLSurface::resolvePatchRegion(), LLManipTranslate::restoreGL(), LLTabContainer::selectTab(), LLSurface::setOriginGlobal(), LLFont::setSubImageLuminanceAlpha(), LLGenePool::spawn(), LLStringBase< T >::stripNonprintable(), LLPrimitive::unpackTEField(), LLSurfacePatch::updateCompositionStats(), LLDrawable::updateDistance(), LLSurfacePatch::updateEastEdge(), LLViewerJointMesh::updateFaceData(), LLVOTree::updateGeometry(), LLViewerJointMesh::updateGeometryVectorized(), LLVOSurfacePatch::updateMainGeometry(), LLSurfacePatch::updateNormals(), LLCloudLayer::updatePuffCount(), LLCloudLayer::updatePuffOwnership(), LLCloudLayer::updatePuffs(), LLSpatialBridge::updateSpatialExtents(), LLSurfacePatch::updateVerticalStats(), LLViewerJointMesh::uploadJointMatrices(), LLSpatialGroup::validate(), LLSpatialGroup::validateDrawMap(), LLOctreeDirtyTexture::visit(), and LLOctreeRenderNonOccluded::visit().

const F64 LL_DOUBLE_TO_FIX_MAGIC = 68719476736.0*1.5

Definition at line 317 of file llmath.h.

const S32 LL_SHIFT_AMOUNT = 16

Definition at line 318 of file llmath.h.

union { ... } LLECO [static]

struct { ... } n

Referenced by LLCamera::AABBInFrustum(), LLCamera::AABBInFrustumNoFarClip(), LLAppViewerLinux::beingDebugged(), LLXMLRPCTransaction::Impl::curlDownloadCallback(), curlHeaderCallback(), curlReadCallback(), curlWriteCallback(), dct_column(), dct_line(), LLImageBMP::encode(), LLStringBase< T >::format(), tut::SquareNode::get(), tut::IntegerNode::get(), LLUUID::getNodeID(), LLXMLNode::getStringValue(), LLXmlTreeNode::getTextContents(), LLXMLNode::getTextContents(), idct_column(), idct_column_large(), idct_column_large_slow(), idct_line(), idct_line_large(), idct_line_large_slow(), LLDynamicArrayIndexed< const LLMsgVarData, char *, 8 >::operator[](), planeFromPoints(), randGauss(), LLSelectMgr::sendListToRegions(), setup_patch_cosines(), setup_patch_icosines(), tut::IntegerNode::validate(), wstring_to_utf8str(), and wstring_wstring_length_from_utf16_length().

const F32 OO_LN2 = 1.4426950408889634073599246810019f

Definition at line 94 of file llmath.h.

const F32 OO_SQRT2 = 0.7071067811865475244008443621049f

Definition at line 89 of file llmath.h.

Referenced by dct_column(), dct_column_large(), dct_line(), dct_line_large(), idct_column(), idct_column_large(), idct_column_large_slow(), idct_line(), idct_line_large(), and idct_line_large_slow().

const F32 RAD_TO_DEG = 57.295779513082320876798154814105f

Definition at line 91 of file llmath.h.

Referenced by LLVOVolume::calcLOD(), LLVolumeImplFlexible::doIdleUpdate(), LLManipRotate::dragConstrained(), LLNetMap::draw(), LLCompass::draw(), LLWorldMapView::drawFrustum(), LLTracker::drawMarker(), LLWorldMapView::drawTrackingArrow(), elevation_from_vector(), LLPipeline::generateImpostor(), LLPreviewLandmark::getDegreesAndDist(), LLAvatarTracker::getDegreesAndDist(), LLPanelObject::getState(), LLPanelFace::getState(), LLManipTranslate::highlightIntersection(), LLPieMenu::pieItemFromXY(), LLPieMenu::pieItemIndexFromXY(), LLManipScale::render(), LLManipRotate::render(), LLManip::renderGuidelines(), LLManipTranslate::renderSnapGuides(), LLManipRotate::renderSnapGuides(), LLManipTranslate::renderTranslationHandles(), rotate_quat(), LLViewerCamera::setPerspective(), LLVOTree::setPixelAreaAndAngle(), LLVOPartGroup::setPixelAreaAndAngle(), LLVOGrass::setPixelAreaAndAngle(), LLVOAvatar::setPixelAreaAndAngle(), LLViewerObject::setPixelAreaAndAngle(), LLDebugText::update(), LLFollowCam::updateBehindnessConstraint(), and LLVOAvatar::updateCharacter().


Defines
#define	llisnan(val) std::isnan(val)
#define	llfinite(val) std::isfinite(val)
#define	fsqrtf(x) ((F32)sqrt((F64)(x)))
#define	sqrtf(x) ((F32)sqrt((F64)(x)))
#define	cosf(x) ((F32)cos((F64)(x)))
#define	sinf(x) ((F32)sin((F64)(x)))
#define	tanf(x) ((F32)tan((F64)(x)))
#define	acosf(x) ((F32)acos((F64)(x)))
#define	powf(x, y) ((F32)pow((F64)(x),(F64)(y)))
#define	LL_EXP_INDEX 0
#define	LL_MAN_INDEX 1
#define	LL_EXP_A (1048576 * OO_LN2)
#define	LL_EXP_C (60801)
#define	LL_FAST_EXP(y) (LLECO.n.i = llround(F32(LL_EXP_A*(y))) + (1072693248 - LL_EXP_C), LLECO.d)
Functions
BOOL	is_approx_zero (F32 f)
BOOL	is_approx_equal (F32 x, F32 y)
BOOL	is_approx_equal (F64 x, F64 y)
BOOL	is_approx_equal_fraction (F32 x, F32 y, U32 frac_bits)
BOOL	is_approx_equal_fraction (F64 x, F64 y, U32 frac_bits)
S32	llabs (const S32 a)
F32	llabs (const F32 a)
F64	llabs (const F64 a)
S32	lltrunc (F32 f)
S32	lltrunc (F64 f)
S32	llfloor (F32 f)
S32	llceil (F32 f)
S32	llround (const F32 val)
F32	llround (F32 val, F32 nearest)
F64	llround (F64 val, F64 nearest)
F32	fastMagnitude (F32 a, F32 b)
F32	llfastpow (const F32 x, const F32 y)
F32	snap_to_sig_figs (F32 foo, S32 sig_figs)
F32	lerp (F32 a, F32 b, F32 u)
F32	lerp2d (F32 x00, F32 x01, F32 x10, F32 x11, F32 u, F32 v)
F32	ramp (F32 x, F32 a, F32 b)
F32	rescale (F32 x, F32 x1, F32 x2, F32 y1, F32 y2)
F32	clamp_rescale (F32 x, F32 x1, F32 x2, F32 y1, F32 y2)
F32	cubic_step (F32 x, F32 x0, F32 x1, F32 s0, F32 s1)
F32	cubic_step (F32 x)
F32	quadratic_step (F32 x, F32 x0, F32 x1, F32 s0, F32 s1)
F32	llsimple_angle (F32 angle)
U32	get_nearest_power_two (U32 val, U32 max_power_two)
Variables
const F32	GRAVITY = -9.8f
const F32	F_PI = 3.1415926535897932384626433832795f
const F32	F_TWO_PI = 6.283185307179586476925286766559f
const F32	F_PI_BY_TWO = 1.5707963267948966192313216916398f
const F32	F_SQRT2 = 1.4142135623730950488016887242097f
const F32	F_SQRT3 = 1.73205080756888288657986402541f
const F32	OO_SQRT2 = 0.7071067811865475244008443621049f
const F32	DEG_TO_RAD = 0.017453292519943295769236907684886f
const F32	RAD_TO_DEG = 57.295779513082320876798154814105f
const F32	F_APPROXIMATELY_ZERO = 0.00001f
const F32	F_LN2 = 0.69314718056f
const F32	OO_LN2 = 1.4426950408889634073599246810019f
const F32	FP_MAG_THRESHOLD = 0.0000001f
const F32	FAST_MAG_ALPHA = 0.960433870103f
const F32	FAST_MAG_BETA = 0.397824734759f
const F64	LL_DOUBLE_TO_FIX_MAGIC = 68719476736.0*1.5
const S32	LL_SHIFT_AMOUNT = 16
union {
double d
struct {
S32 i
S32 j
} n
}	LLECO