trigo.cpp File Reference

Trigonometric and geometric basic functions. More...

#include <algorithm>
#include <limits>
#include <cstdlib>
#include <type_traits>
#include <geometry/seg.h>
#include <math/util.h>
#include <math/vector2d.h>
#include <trigo.h>

Go to the source code of this file.

Functions
bool	IsPointOnSegment (const VECTOR2I &aSegStart, const VECTOR2I &aSegEnd, const VECTOR2I &aTestPoint)
	Test if aTestPoint is on line defined by aSegStart and aSegEnd.
bool	SegmentIntersectsSegment (const VECTOR2I &a_p1_l1, const VECTOR2I &a_p2_l1, const VECTOR2I &a_p1_l2, const VECTOR2I &a_p2_l2, VECTOR2I *aIntersectionPoint)
	Test if two lines intersect.
bool	TestSegmentHit (const VECTOR2I &aRefPoint, const VECTOR2I &aStart, const VECTOR2I &aEnd, int aDist)
	Test if aRefPoint is with aDistance on the line defined by aStart and aEnd.
const VECTOR2I	CalcArcMid (const VECTOR2I &aStart, const VECTOR2I &aEnd, const VECTOR2I &aCenter, bool aMinArcAngle)
	Return the middle point of an arc, half-way between aStart and aEnd.
void	RotatePoint (int *pX, int *pY, const EDA_ANGLE &aAngle)
	Calculate the new point of coord coord pX, pY, for a rotation center 0, 0.
void	RotatePoint (int *pX, int *pY, int cx, int cy, const EDA_ANGLE &angle)
	Calculate the new point of coord coord pX, pY, for a rotation center cx, cy.
void	RotatePoint (double *pX, double *pY, double cx, double cy, const EDA_ANGLE &angle)
void	RotatePoint (double *pX, double *pY, const EDA_ANGLE &aAngle)
	Calculate the new coord point point for a rotation center 0, 0.
const VECTOR2D	CalcArcCenter (const VECTOR2D &aStart, const VECTOR2D &aEnd, const EDA_ANGLE &aAngle)
const VECTOR2D	CalcArcCenter (const VECTOR2D &aStart, const VECTOR2D &aMid, const VECTOR2D &aEnd)
const VECTOR2I	CalcArcCenter (const VECTOR2I &aStart, const VECTOR2I &aMid, const VECTOR2I &aEnd)
	Determine the center of an arc or circle given three points on its circumference.

Detailed Description

Trigonometric and geometric basic functions.

Definition in file trigo.cpp.

Function Documentation

CalcArcCenter() [1/3]

const VECTOR2D CalcArcCenter	(	const VECTOR2D &	aStart,
		const VECTOR2D &	aEnd,
		const EDA_ANGLE &	aAngle
	)

Definition at line 333 of file trigo.cpp.

References ANGLE_0, ANGLE_180, ANGLE_360, ANGLE_90, VECTOR2< T >::Resize(), RotatePoint(), and EDA_ANGLE::Sin().

Referenced by CalcArcCenter().

CalcArcCenter() [2/3]

const VECTOR2D CalcArcCenter	(	const VECTOR2D &	aStart,
		const VECTOR2D &	aMid,
		const VECTOR2D &	aEnd
	)

Definition at line 369 of file trigo.cpp.

References std::abs(), CircleCenterFrom3Points(), VECTOR2< T >::EuclideanNorm(), VECTOR2< T >::x, and VECTOR2< T >::y.

CalcArcCenter() [3/3]

const VECTOR2I CalcArcCenter	(	const VECTOR2I &	aStart,
		const VECTOR2I &	aMid,
		const VECTOR2I &	aEnd
	)

Determine the center of an arc or circle given three points on its circumference.

Parameters

aStart	The starting point of the circle (equivalent to aEnd).
aMid	The point on the arc, half-way between aStart and aEnd.
aEnd	The ending point of the circle (equivalent to aStart).

Returns

The center of the circle.

Definition at line 521 of file trigo.cpp.

References CalcArcCenter(), KiROUND(), VECTOR2< T >::x, and VECTOR2< T >::y.

Referenced by GRAPHICS_IMPORTER_LIB_SYMBOL::AddArc(), GRAPHICS_IMPORTER_SCH::AddArc(), PLOTTER::Arc(), BOOST_AUTO_TEST_CASE(), SHAPE_ARC::ConstructFromStartEndAngle(), KIGFX::SCH_PAINTER::draw(), PCB_ARC::GetPosition(), PCB_ARC::GetRadius(), SCH_IO_KICAD_SEXPR_PARSER::parseSymbolArc(), EDA_SHAPE::SetArcGeometry(), SHAPE_ARC::update_values(), and ARC_GEOM_SYNCER::Validate().

CalcArcMid()

const VECTOR2I CalcArcMid	(	const VECTOR2I &	aStart,
		const VECTOR2I &	aEnd,
		const VECTOR2I &	aCenter,
		bool	aMinArcAngle = true
	)

Return the middle point of an arc, half-way between aStart and aEnd.

There are two possible solutions which can be found by toggling aMinArcAngle. The behavior is undefined for semicircles (i.e. 180 degree arcs).

Parameters

aStart	The starting point of the arc (for calculating the radius).
aEnd	The end point of the arc (for determining the arc angle).
aCenter	The center point of the arc.
aMinArcAngle	If true, returns the point that results in the smallest arc angle.

Returns

The middle point of the arc.

Definition at line 209 of file trigo.cpp.

References ANGLE_180, and RotatePoint().

Referenced by CIRCLE::ConstructFromTanTanPt(), EDIT_TOOL::DragArcTrack(), and PCB_IO_EAGLE::loadSignals().

IsPointOnSegment()

bool IsPointOnSegment	(	const VECTOR2I &	aSegStart,
		const VECTOR2I &	aSegEnd,
		const VECTOR2I &	aTestPoint
	)

Test if aTestPoint is on line defined by aSegStart and aSegEnd.

This function is faster than TestSegmentHit() because aTestPoint should be exactly on the line. This only works for horizontal, vertical, and 45 degree line segments.

Parameters

aSegStart	The first point of the line segment.
aSegEnd	The second point of the line segment.
aTestPoint	The point to test.

Returns

true if the point is on the line segment.

Definition at line 89 of file trigo.cpp.

References VECTOR2< T >::x, and VECTOR2< T >::y.

Referenced by SCH_LINE_WIRE_BUS_TOOL::finishSegments(), SCH_SCREEN::GetBusesAndWires(), SCH_SCREEN::GetNeededJunctions(), SCH_LINE_WIRE_BUS_TOOL::TrimOverLappingWires(), SCH_EDIT_FRAME::TrimWire(), SCH_BUS_WIRE_ENTRY::UpdateDanglingState(), and SCH_BUS_BUS_ENTRY::UpdateDanglingState().

RotatePoint() [1/4]

void RotatePoint	(	double *	pX,
		double *	pY,
		const EDA_ANGLE &	aAngle
	)

Calculate the new coord point point for a rotation center 0, 0.

Definition at line 295 of file trigo.cpp.

References ANGLE_0, ANGLE_180, ANGLE_270, ANGLE_90, EDA_ANGLE::Cos(), EDA_ANGLE::Normalize(), EDA_ANGLE::Sin(), VECTOR2< T >::x, and VECTOR2< T >::y.

RotatePoint() [2/4]

void RotatePoint	(	double *	pX,
		double *	pY,
		double	cx,
		double	cy,
		const EDA_ANGLE &	angle
	)

Definition at line 281 of file trigo.cpp.

References RotatePoint().

RotatePoint() [3/4]

void RotatePoint	(	int *	pX,
		int *	pY,
		const EDA_ANGLE &	aAngle
	)

Calculate the new point of coord coord pX, pY, for a rotation center 0, 0.

Definition at line 229 of file trigo.cpp.

References ANGLE_0, ANGLE_180, ANGLE_270, ANGLE_90, EDA_ANGLE::Cos(), KiROUND(), EDA_ANGLE::Normalize(), EDA_ANGLE::Sin(), VECTOR2< T >::x, and VECTOR2< T >::y.

Referenced by DXF_IMPORT_PLUGIN::addArc(), GRAPHICS_IMPORTER_LIB_SYMBOL::AddArc(), GRAPHICS_IMPORTER_SCH::AddArc(), GRAPHICS_IMPORTER_PCBNEW::AddArc(), PCAD2KICAD::PCAD_FOOTPRINT::AddToBoard(), PCAD2KICAD::PCAD_PAD::AddToFootprint(), EC_CIRCLE::Apply(), CADSTAR_SCH_ARCHIVE_LOADER::applyTransform(), SVG_PLOTTER::Arc(), BOOST_AUTO_TEST_CASE(), PCB_TEXT::buildBoundingHull(), BuildConvexHull(), BuildCornersList_S_Shape(), PAD::buildEffectiveShape(), PAD::BuildEffectiveShapes(), DIRECTION_45::BuildInitialTrace(), ZONE_FILLER::buildThermalSpokes(), CalcArcCenter(), CalcArcMid(), PNS::OPTIMIZER::circleBreakouts(), SHAPE_ARC::Collide(), commonParallelProjection(), PCB_GRID_HELPER::computeAnchors(), computeCenter(), PSLIKE_PLOTTER::computeTextParameters(), ConnectBoardShapes(), SHAPE_ARC::ConstructFromStartEndAngle(), SHAPE_ARC::ConstructFromStartEndCenter(), AM_PRIMITIVE::ConvertBasicShapeToPolygon(), ALTIUM_PCB::ConvertComponentBody6ToFootprintItem(), convertOblong2Segment(), AM_PRIMITIVE::ConvertShapeToPolygon(), D_CODE::ConvertShapeToPolygon(), CornerListToPolygon(), PCAD2KICAD::CorrectTextPosition(), BOARD_ADAPTER::createArcSegments(), EXCELLON_WRITER::createDrillFile(), MICROWAVE_TOOL::createFootprint(), SCH_GLOBALLABEL::CreateGraphicShape(), SCH_DIRECTIVE_LABEL::CreateGraphicShape(), PNS::OPTIMIZER::customBreakouts(), KIGFX::PCB_PAINTER::draw(), KIGFX::SCH_PAINTER::draw(), PCB_DIMENSION_BASE::drawAnArrow(), KIGFX::CAIRO_GAL_BASE::DrawArc(), KIGFX::CAIRO_GAL_BASE::DrawArcSegment(), drawBacksideTicks(), CADSTAR_PCB_ARCHIVE_LOADER::drawCadstarText(), DrawHalfOpenCylinder(), AR_MATRIX::drawSegmentQcq(), drawTicksAlongLine(), GBR_TO_PCB_EXPORTER::export_segarc_copper_item(), EXPORTER_PCB_VRML::ExportVrmlFootprint(), fillArcPOLY(), CADSTAR_ARCHIVE_PARSER::FixTextPositionNoAlignment(), GERBER_PLOTTER::FlashPadChamferRoundRect(), GERBER_PLOTTER::FlashPadCustom(), HPGL_PLOTTER::FlashPadOval(), PSLIKE_PLOTTER::FlashPadOval(), HPGL_PLOTTER::FlashPadRect(), PSLIKE_PLOTTER::FlashPadRect(), DXF_PLOTTER::FlashPadRect(), DXF_PLOTTER::FlashPadTrapez(), GERBER_PLOTTER::FlashPadTrapez(), HPGL_PLOTTER::FlashPadTrapez(), PSLIKE_PLOTTER::FlashPadTrapez(), GERBER_PLOTTER::FlashRegularPolygon(), GENCAD_EXPORTER::FootprintWriteShape(), PCB_IO_KICAD_SEXPR::format(), formatInternalUnits(), GERBER_DRAW_ITEM::GetABPosition(), EDA_SHAPE::GetArcMid(), SCH_LABEL::GetBodyBoundingBox(), SCH_FIELD::GetBoundingBox(), SCH_TEXT::GetBoundingBox(), BOX2< Vec >::GetBoundingBoxRotated(), DS_DATA_ITEM_POLYGONS::GetCornerPosition(), PCB_TEXTBOX::GetDrawPos(), KIGFX::PREVIEW::ARC_GEOM_MANAGER::GetEndRadiusEnd(), BOARD_ITEM::GetFPRelativePosition(), CADSTAR_PCB_ARCHIVE_LOADER::getKiCadPad(), EDA_TEXT::GetLinePositions(), CADSTAR_SCH_ARCHIVE_LOADER::getLocationOfNetElement(), KIGEOM::GetOvalKeyPoints(), getRectangleAlongCentreLine(), GetRotated(), KIGFX::PREVIEW::ARC_GEOM_MANAGER::GetStartRadiusEnd(), KIFONT::OUTLINE_FONT::getTextAsGlyphsUnlocked(), ARRAY_CIRCULAR_OPTIONS::GetTransform(), GERBER_DRAW_ITEM::GetXYPosition(), GRCSegm(), hash_fp_item(), ALTIUM_PCB::HelperParseDimensions6Center(), ALTIUM_PCB::HelperParseDimensions6Leader(), ALTIUM_PCB::HelperSetTextAlignmentAndPos(), ALTIUM_PCB::HelperSetTextboxAlignmentAndPos(), idf_export_footprint(), RENDER_3D_RAYTRACE_BASE::insertHole(), CIRCLE::Intersect(), BOX2< Vec >::Intersects(), SCH_IO_KICAD_LEGACY_LIB_CACHE::loadArc(), PCB_IO_EAGLE::loadPlain(), SCH_IO_EAGLE::loadRectangle(), CADSTAR_SCH_ARCHIVE_LOADER::loadSchematicSymbolInstances(), SCH_IO_EAGLE::loadSymbolRectangle(), CADSTAR_SCH_ARCHIVE_LOADER::loadSymdef(), STEP_PCB_MODEL::MakeShapeAsThickSegment(), DSN::mapPt(), FOOTPRINT::MoveAnchorPosition(), PCB_TABLE::Normalize(), OVAL::OVAL(), PCB_IO_EAGLE::packageCircle(), ALTIUM_PCB::ParseComponentsBodies6Data(), PCB_IO_EASYEDAPRO_PARSER::ParseContour(), GPCB_FPL_CACHE::parseFOOTPRINT(), PCB_IO_EASYEDA_PARSER::ParseToBoardItemContainer(), SCH_TEXT::Plot(), BRDITEMS_PLOTTER::PlotPadNumber(), GERBER_PLOTTER::plotRoundRectAsRegion(), BRDITEMS_PLOTTER::PlotText(), SCH_TEXT::Print(), FABMASTER::processArc(), SHAPE_ARC::Rotate(), SHAPE_LINE_CHAIN::Rotate(), EDIT_TOOL::Rotate(), SCH_BUS_ENTRY_BASE::Rotate(), SCH_FIELD::Rotate(), SCH_JUNCTION::Rotate(), SCH_LABEL_BASE::Rotate(), SCH_LINE::Rotate(), SCH_NO_CONNECT::Rotate(), SCH_SHEET::Rotate(), SCH_SHEET_PIN::Rotate(), SCH_SYMBOL::Rotate(), SCH_TEXT::Rotate(), REFERENCE_IMAGE::Rotate(), EDA_SHAPE::rotate(), FOOTPRINT::Rotate(), PCB_TUNING_PATTERN::Rotate(), PAD::Rotate(), PCB_DIMENSION_BASE::Rotate(), PCB_GENERATOR::Rotate(), PCB_TARGET::Rotate(), PCB_TEXT::Rotate(), PCB_TRACK::Rotate(), PCB_ARC::Rotate(), SCH_PIN::RotatePin(), RotatePoint(), EDA_SHAPE::SetArcAngleAndEnd(), DS_DATA_ITEM_POLYGONS::SetBoundingBox(), BOARD_ITEM::SetFPRelativePosition(), SHAPE_ARC::SHAPE_ARC(), PAD::ShapePos(), PLOTTER::sketchOval(), KIGFX::PCB_PAINTER::strokeText(), PNS_KICAD_IFACE_BASE::syncPad(), DRC_TEST_PROVIDER_PHYSICAL_CLEARANCE::testShapeLineChain(), PDF_PLOTTER::Text(), AR_MATRIX::TraceFilledRectangle(), DIALOG_PAD_PROPERTIES::transferDataToPad(), PCB_IO_EAGLE::transferPad(), KIFONT::STROKE_GLYPH::Transform(), PIN_LAYOUT_CACHE::transformBoxForPin(), TransformCircleToPolygon(), TransformEllipseToBeziers(), TransformOvalToPolygon(), PAD::TransformShapeToPolygon(), EASYEDA_PARSER_BASE::TransformTextToBaseline(), PNS::MEANDER_SHAPE::turn(), PCB_DIM_RADIAL::updateGeometry(), PCB_DIM_CENTER::updateGeometry(), PAD_POINT_EDIT_BEHAVIOR::UpdateItem(), PCB_DIM_ALIGNED::updateText(), KIGFX::PREVIEW::RULER_ITEM::ViewDraw(), and GERBER_PLOTTER::writeApertureList().

RotatePoint() [4/4]

void RotatePoint	(	int *	pX,
		int *	pY,
		int	cx,
		int	cy,
		const EDA_ANGLE &	angle
	)

Calculate the new point of coord coord pX, pY, for a rotation center cx, cy.

Definition at line 267 of file trigo.cpp.

References RotatePoint().

SegmentIntersectsSegment()

bool SegmentIntersectsSegment	(	const VECTOR2I &	a_p1_l1,
		const VECTOR2I &	a_p2_l1,
		const VECTOR2I &	a_p1_l2,
		const VECTOR2I &	a_p2_l2,
		VECTOR2I *	aIntersectionPoint = nullptr
	)

Test if two lines intersect.

Parameters

a_p1_l1	The first point of the first line.
a_p2_l1	The second point of the first line.
a_p1_l2	The first point of the second line.
a_p2_l2	The second point of the second line.
aIntersectionPoint	is filled with the intersection point if it exists

Returns

bool true if the two segments defined by four points intersect. (i.e. if the 2 segments have at least a common point)

Definition at line 107 of file trigo.cpp.

References KiROUND(), VECTOR2< T >::x, and VECTOR2< T >::y.

Referenced by BOX2< Vec >::Intersects().

TestSegmentHit()

bool TestSegmentHit	(	const VECTOR2I &	aRefPoint,
		const VECTOR2I &	aStart,
		const VECTOR2I &	aEnd,
		int	aDist
	)

Test if aRefPoint is with aDistance on the line defined by aStart and aEnd.

Parameters

aRefPoint	= reference point to test
aStart	is the first end-point of the line segment
aEnd	is the second end-point of the line segment
aDist	= maximum distance for hit

Definition at line 175 of file trigo.cpp.

References std::abs(), delta, SEG::Square(), SEG::SquaredDistance(), VECTOR2< T >::x, and VECTOR2< T >::y.

Referenced by SCH_IO_EAGLE::addBusEntries(), EE_GRID_HELPER::computeAnchors(), DRAWING_TOOL::DrawVia(), EDA_SHAPE::hitTest(), SCH_BUS_ENTRY_BASE::HitTest(), SCH_LINE::HitTest(), DS_DRAW_ITEM_LINE::HitTest(), DS_DRAW_ITEM_RECT::HitTest(), PCB_TRACK::HitTest(), GERBER_DRAW_ITEM::HitTest(), SCH_IO_EAGLE::moveLabels(), SHAPE_LINE_CHAIN::Simplify(), and SCH_LABEL_BASE::UpdateDanglingState().