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trigo.cpp File Reference

Trigonometric and geometric basic functions. More...

#include <limits>
#include <stdlib.h>
#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.
 
bool TestSegmentHitFast (const VECTOR2I &aRefPoint, const VECTOR2I &aStart, const VECTOR2I &aEnd, int aDist)
 Test if a point hits a line segment within a given distance.
 

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 332 of file trigo.cpp.

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

Referenced by CalcArcCenter().

◆ CalcArcCenter() [2/3]

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

Definition at line 368 of file trigo.cpp.

References std::abs(), 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
aStartThe starting point of the circle (equivalent to aEnd).
aMidThe point on the arc, half-way between aStart and aEnd.
aEndThe ending point of the circle (equivalent to aStart).
Returns
The center of the circle.

Definition at line 520 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(), SHAPE_ARC::GetCenter(), PCB_ARC::GetPosition(), PCB_ARC::GetRadius(), SCH_EASYEDAPRO_PARSER::ParseSymbol(), SCH_IO_KICAD_SEXPR_PARSER::parseSymbolArc(), EDA_SHAPE::SetArcGeometry(), and DIALOG_SHAPE_PROPERTIES::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
aStartThe starting point of the arc (for calculating the radius).
aEndThe end point of the arc (for determining the arc angle).
aCenterThe center point of the arc.
aMinArcAngleIf true, returns the point that results in the smallest arc angle.
Returns
The middle point of the arc.

Definition at line 208 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
aSegStartThe first point of the line segment.
aSegEndThe second point of the line segment.
aTestPointThe point to test.
Returns
true if the point is on the line segment.

Definition at line 88 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 294 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 280 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 228 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::BuildEffectiveShapes(), DIRECTION_45::BuildInitialTrace(), ZONE_FILLER::buildThermalSpokes(), CalcArcCenter(), CalcArcMid(), PNS::OPTIMIZER::circleBreakouts(), PCB_GRID_HELPER::computeAnchors(), computeCenter(), PSLIKE_PLOTTER::computeTextParameters(), ConnectBoardShapes(), SHAPE_ARC::ConstructFromStartEndAngle(), SHAPE_ARC::ConstructFromStartEndCenter(), AM_PRIMITIVE::ConvertBasicShapeToPolygon(), 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(), 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(), LIB_PIN::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(), GetOvalKeyPoints(), getRectangleAlongCentreLine(), 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(), 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_IO_EAGLE::packageCircle(), ALTIUM_PCB::ParseComponentsBodies6Data(), PCB_IO_EASYEDAPRO_PARSER::ParseContour(), GPCB_FPL_CACHE::parseFOOTPRINT(), PCB_IO_EASYEDA_PARSER::ParseToBoardItemContainer(), SCH_TEXT::Plot(), GERBER_PLOTTER::plotRoundRectAsRegion(), SCH_TEXT::Print(), FABMASTER::processArc(), SHAPE_ARC::Rotate(), SHAPE_LINE_CHAIN::Rotate(), EDIT_TOOL::Rotate(), SCH_BITMAP::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(), LIB_PIN::Rotate(), PCB_REFERENCE_IMAGE::Rotate(), EDA_SHAPE::rotate(), FOOTPRINT::Rotate(), PCB_TUNING_PATTERN::Rotate(), PAD::Rotate(), PCB_DIMENSION_BASE::Rotate(), PCB_TARGET::Rotate(), PCB_TEXT::Rotate(), PCB_TRACK::Rotate(), PCB_ARC::Rotate(), SCH_LABEL_BASE::Rotate90(), SCH_LINE::RotateEnd(), RotatePoint(), SCH_LINE::RotateStart(), 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(), EDA_TEXT::TextHitTest(), AR_MATRIX::TraceFilledRectangle(), PCB_IO_EAGLE::transferPad(), KIFONT::STROKE_GLYPH::Transform(), TransformCircleToPolygon(), TransformEllipseToBeziers(), TransformOvalToPolygon(), PAD::TransformShapeToPolygon(), EASYEDA_PARSER_BASE::TransformTextToBaseline(), PNS::MEANDER_SHAPE::turn(), PCB_DIM_ALIGNED::updateGeometry(), PCB_DIM_ORTHOGONAL::updateGeometry(), PCB_DIM_RADIAL::updateGeometry(), PCB_DIM_LEADER::updateGeometry(), PCB_DIM_CENTER::updateGeometry(), PCB_POINT_EDITOR::updateItem(), PCB_DIM_ALIGNED::updateText(), 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 266 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_l1The first point of the first line.
a_p2_l1The second point of the first line.
a_p1_l2The first point of the second line.
a_p2_l2The second point of the second line.
aIntersectionPointis 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 106 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
aStartis the first end-point of the line segment
aEndis the second end-point of the line segment
aDist= maximum distance for hit

Definition at line 174 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(), and SCH_LABEL_BASE::UpdateDanglingState().

◆ TestSegmentHitFast()

bool TestSegmentHitFast ( const VECTOR2I aRefPoint,
const VECTOR2I aStart,
const VECTOR2I aEnd,
int  aDist 
)

Test if a point hits a line segment within a given distance.

This is a faster version of TestSegmentHit() that does not calculate the distance.

Definition at line 541 of file trigo.cpp.

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

Referenced by SHAPE_LINE_CHAIN::Simplify().