💥 Line 更名为 LineSegment
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68e456fe8f
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@ -6,112 +6,112 @@ import (
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"sort"
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)
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// NewLine 创建一根线段
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func NewLine[V generic.SignedNumber](start, end Point[V]) Line[V] {
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// NewLineSegment 创建一根线段
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func NewLineSegment[V generic.SignedNumber](start, end Point[V]) LineSegment[V] {
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if start.Equal(end) {
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panic("two points of the line segment are the same")
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}
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return Line[V]{start, end}
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return LineSegment[V]{start, end}
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}
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// NewLineCap 创建一根包含数据的线段
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func NewLineCap[V generic.SignedNumber, Data any](start, end Point[V], data Data) LineCap[V, Data] {
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return LineCap[V, Data]{NewLine(start, end), data}
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// NewLineSegmentCap 创建一根包含数据的线段
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func NewLineSegmentCap[V generic.SignedNumber, Data any](start, end Point[V], data Data) LineSegmentCap[V, Data] {
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return LineSegmentCap[V, Data]{NewLineSegment(start, end), data}
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}
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// NewLineCapWithLine 通过已有线段创建一根包含数据的线段
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func NewLineCapWithLine[V generic.SignedNumber, Data any](line Line[V], data Data) LineCap[V, Data] {
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return LineCap[V, Data]{line, data}
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// NewLineSegmentCapWithLine 通过已有线段创建一根包含数据的线段
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func NewLineSegmentCapWithLine[V generic.SignedNumber, Data any](line LineSegment[V], data Data) LineSegmentCap[V, Data] {
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return LineSegmentCap[V, Data]{line, data}
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}
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// Line 通过两个点表示一根线段
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type Line[V generic.SignedNumber] [2]Point[V]
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// LineSegment 通过两个点表示一根线段
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type LineSegment[V generic.SignedNumber] [2]Point[V]
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// LineCap 可以包含一份额外数据的线段
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type LineCap[V generic.SignedNumber, Data any] struct {
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Line[V]
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// LineSegmentCap 可以包含一份额外数据的线段
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type LineSegmentCap[V generic.SignedNumber, Data any] struct {
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LineSegment[V]
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Data Data
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}
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func (slf *LineCap[V, Data]) GetData() Data {
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func (slf *LineSegmentCap[V, Data]) GetData() Data {
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return slf.Data
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}
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// GetPoints 获取该线段的两个点
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func (slf Line[V]) GetPoints() [2]Point[V] {
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func (slf LineSegment[V]) GetPoints() [2]Point[V] {
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return slf
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}
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// GetStart 获取该线段的开始位置
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func (slf Line[V]) GetStart() Point[V] {
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func (slf LineSegment[V]) GetStart() Point[V] {
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return slf[0]
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}
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// GetEnd 获取该线段的结束位置
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func (slf Line[V]) GetEnd() Point[V] {
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func (slf LineSegment[V]) GetEnd() Point[V] {
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return slf[1]
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}
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// GetLength 获取该线段的长度
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func (slf Line[V]) GetLength() V {
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func (slf LineSegment[V]) GetLength() V {
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return CalcDistance(DoublePointToCoordinate(slf.GetStart(), slf.GetEnd()))
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}
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// PointOnLineWithCoordinate 通过一个线段两个点的位置和一个点的坐标,判断这个点是否在一条线段上
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func PointOnLineWithCoordinate[V generic.SignedNumber](x1, y1, x2, y2, x, y V) bool {
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// PointOnLineSegmentWithCoordinate 通过一个线段两个点的位置和一个点的坐标,判断这个点是否在一条线段上
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func PointOnLineSegmentWithCoordinate[V generic.SignedNumber](x1, y1, x2, y2, x, y V) bool {
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return (x-x1)*(y2-y1) == (x2-x1)*(y-y1)
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}
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// PointOnLineWithPos 通过一个线段两个点的位置和一个点的坐标,判断这个点是否在一条线段上
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func PointOnLineWithPos[V generic.SignedNumber](width, pos1, pos2, pos V) bool {
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// PointOnLineSegmentWithPos 通过一个线段两个点的位置和一个点的坐标,判断这个点是否在一条线段上
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func PointOnLineSegmentWithPos[V generic.SignedNumber](width, pos1, pos2, pos V) bool {
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x1, y1 := PosToCoordinate(width, pos1)
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x2, y2 := PosToCoordinate(width, pos2)
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x, y := PosToCoordinate(width, pos)
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return PointOnLineWithCoordinate(x1, y1, x2, y2, x, y)
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return PointOnLineSegmentWithCoordinate(x1, y1, x2, y2, x, y)
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}
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// PointOnLineWithPoint 通过一个线段两个点的位置和一个点的坐标,判断这个点是否在一条线段上
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func PointOnLineWithPoint[V generic.SignedNumber](point1, point2, point Point[V]) bool {
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// PointOnLineSegmentWithPoint 通过一个线段两个点的位置和一个点的坐标,判断这个点是否在一条线段上
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func PointOnLineSegmentWithPoint[V generic.SignedNumber](point1, point2, point Point[V]) bool {
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x1, y1 := point1.GetXY()
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x2, y2 := point2.GetXY()
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x, y := point.GetXY()
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return PointOnLineWithCoordinate(x1, y1, x2, y2, x, y)
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return PointOnLineSegmentWithCoordinate(x1, y1, x2, y2, x, y)
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}
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// PointOnSegmentWithCoordinate 通过一个线段两个点的位置和一个点的坐标,判断这个点是否在一条线段上
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// - 与 PointOnLineWithCoordinate 不同的是, PointOnSegmentWithCoordinate 中会判断线段及点的位置是否正确
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func PointOnSegmentWithCoordinate[V generic.SignedNumber](x1, y1, x2, y2, x, y V) bool {
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return x >= x1 && x <= x2 && y >= y1 && y <= y2 && PointOnLineWithCoordinate(x1, y1, x2, y2, x, y)
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// PointOnLineSegmentWithCoordinateInBounds 通过一个线段两个点的位置和一个点的坐标,判断这个点是否在一条线段上
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// - 与 PointOnLineSegmentWithCoordinate 不同的是, PointOnLineSegmentWithCoordinateInBounds 中会判断线段及点的位置是否正确
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func PointOnLineSegmentWithCoordinateInBounds[V generic.SignedNumber](x1, y1, x2, y2, x, y V) bool {
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return x >= x1 && x <= x2 && y >= y1 && y <= y2 && PointOnLineSegmentWithCoordinate(x1, y1, x2, y2, x, y)
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}
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// PointOnSegmentWithPos 通过一个线段两个点的位置和一个点的坐标,判断这个点是否在一条线段上
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// - 与 PointOnLineWithPos 不同的是, PointOnSegmentWithPos 中会判断线段及点的位置是否正确
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func PointOnSegmentWithPos[V generic.SignedNumber](width, pos1, pos2, pos V) bool {
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// PointOnLineSegmentWithPosInBounds 通过一个线段两个点的位置和一个点的坐标,判断这个点是否在一条线段上
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// - 与 PointOnLineSegmentWithPos 不同的是, PointOnLineSegmentWithPosInBounds 中会判断线段及点的位置是否正确
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func PointOnLineSegmentWithPosInBounds[V generic.SignedNumber](width, pos1, pos2, pos V) bool {
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x1, y1 := PosToCoordinate(width, pos1)
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x2, y2 := PosToCoordinate(width, pos2)
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x, y := PosToCoordinate(width, pos)
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return x >= x1 && x <= x2 && y >= y1 && y <= y2 && PointOnLineWithCoordinate(x1, y1, x2, y2, x, y)
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return x >= x1 && x <= x2 && y >= y1 && y <= y2 && PointOnLineSegmentWithCoordinate(x1, y1, x2, y2, x, y)
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}
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// PointOnSegmentWithPoint 通过一个线段两个点的位置和一个点的坐标,判断这个点是否在一条线段上
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// - 与 PointOnLineWithPoint 不同的是, PointOnSegmentWithPoint 中会判断线段及点的位置是否正确
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func PointOnSegmentWithPoint[V generic.SignedNumber](point1, point2, point Point[V]) bool {
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// PointOnLineSegmentWithPointInBounds 通过一个线段两个点的位置和一个点的坐标,判断这个点是否在一条线段上
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// - 与 PointOnLineSegmentWithPoint 不同的是, PointOnLineSegmentWithPointInBounds 中会判断线段及点的位置是否正确
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func PointOnLineSegmentWithPointInBounds[V generic.SignedNumber](point1, point2, point Point[V]) bool {
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x1, y1 := point1.GetXY()
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x2, y2 := point2.GetXY()
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x, y := point.GetXY()
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return x >= x1 && x <= x2 && y >= y1 && y <= y2 && PointOnLineWithCoordinate(x1, y1, x2, y2, x, y)
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return x >= x1 && x <= x2 && y >= y1 && y <= y2 && PointOnLineSegmentWithCoordinate(x1, y1, x2, y2, x, y)
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}
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// CalcLineIsCollinear 检查两条线段在一个误差内是否共线
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// CalcLineSegmentIsCollinear 检查两条线段在一个误差内是否共线
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// - 共线是指两条线段在同一直线上,即它们的延长线可以重合
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func CalcLineIsCollinear[V generic.SignedNumber](line1, line2 Line[V], tolerance V) bool {
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func CalcLineSegmentIsCollinear[V generic.SignedNumber](line1, line2 LineSegment[V], tolerance V) bool {
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area1 := CalcTriangleTwiceArea(line1.GetStart(), line1.GetEnd(), line2.GetStart())
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area2 := CalcTriangleTwiceArea(line1.GetStart(), line1.GetEnd(), line2.GetEnd())
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return maths.Tolerance(area1, 0, tolerance) && maths.Tolerance(area2, 0, tolerance)
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}
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// CalcLineIsOverlap 通过对点进行排序来检查两条共线线段是否重叠,返回重叠线段
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func CalcLineIsOverlap[V generic.SignedNumber](line1, line2 Line[V]) (line Line[V], overlap bool) {
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// CalcLineSegmentIsOverlap 通过对点进行排序来检查两条共线线段是否重叠,返回重叠线段
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func CalcLineSegmentIsOverlap[V generic.SignedNumber](line1, line2 LineSegment[V]) (line LineSegment[V], overlap bool) {
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l1ps, l1pe := NewPointCapWithPoint(line1.GetStart(), true), NewPointCapWithPoint(line1.GetEnd(), true)
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l2ps, l2pe := NewPointCapWithPoint(line2.GetStart(), false), NewPointCapWithPoint(line2.GetEnd(), false)
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var shapes = [][]PointCap[V, bool]{
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@ -136,5 +136,5 @@ func CalcLineIsOverlap[V generic.SignedNumber](line1, line2 Line[V]) (line Line[
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if notOverlap || singlePointOverlap {
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return line, false
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}
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return NewLine(shapes[1][2].Point, shapes[2][2].Point), true
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return NewLineSegment(shapes[1][2].Point, shapes[2][2].Point), true
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}
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@ -185,7 +185,7 @@ func (slf *NavMesh[V]) FindPath(start, end geometry.Point[V]) (result []geometry
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continue
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}
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var portal geometry.Line[V]
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var portal geometry.LineSegment[V]
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var find bool
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for i := 0; i < len(current.links); i++ {
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if current.links[i].id == next.id {
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@ -230,11 +230,11 @@ func (slf *NavMesh[V]) generateLink() {
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for _, shapeEdge := range shapeEdges {
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for _, targetEdge := range targetShapePkg.Edges() {
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if !geometry.CalcLineIsCollinear(shapeEdge, targetEdge, V(maths.GetDefaultTolerance())) {
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if !geometry.CalcLineSegmentIsCollinear(shapeEdge, targetEdge, V(maths.GetDefaultTolerance())) {
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continue
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}
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var overlapLine, overlap = geometry.CalcLineIsOverlap(shapeEdge, targetEdge)
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var overlapLine, overlap = geometry.CalcLineSegmentIsOverlap(shapeEdge, targetEdge)
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if !overlap {
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continue
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}
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@ -248,9 +248,9 @@ func (slf *NavMesh[V]) generateLink() {
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a3 := geometry.CalcAngleDifference(edgeAngle, a1)
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a4 := geometry.CalcAngleDifference(edgeAngle, a2)
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if a3 < a4 {
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shapePkg.portals = append(shapePkg.portals, geometry.NewLine(overlapLine.GetStart(), overlapLine.GetEnd()))
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shapePkg.portals = append(shapePkg.portals, geometry.NewLineSegment(overlapLine.GetStart(), overlapLine.GetEnd()))
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} else {
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shapePkg.portals = append(shapePkg.portals, geometry.NewLine(overlapLine.GetEnd(), overlapLine.GetStart()))
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shapePkg.portals = append(shapePkg.portals, geometry.NewLineSegment(overlapLine.GetEnd(), overlapLine.GetStart()))
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}
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edgeAngle = geometry.CalcAngle(geometry.DoublePointToCoordinate(targetShapeCentroid, targetEdge.GetStart()))
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@ -259,9 +259,9 @@ func (slf *NavMesh[V]) generateLink() {
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a3 = geometry.CalcAngleDifference(edgeAngle, a1)
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a4 = geometry.CalcAngleDifference(edgeAngle, a2)
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if a3 < a4 {
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targetShapePkg.portals = append(targetShapePkg.portals, geometry.NewLine(overlapLine.GetStart(), overlapLine.GetEnd()))
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targetShapePkg.portals = append(targetShapePkg.portals, geometry.NewLineSegment(overlapLine.GetStart(), overlapLine.GetEnd()))
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} else {
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targetShapePkg.portals = append(targetShapePkg.portals, geometry.NewLine(overlapLine.GetEnd(), overlapLine.GetStart()))
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targetShapePkg.portals = append(targetShapePkg.portals, geometry.NewLineSegment(overlapLine.GetEnd(), overlapLine.GetStart()))
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}
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}
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}
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@ -19,16 +19,16 @@ type shape[V generic.SignedNumber] struct {
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id int
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geometry.Shape[V]
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links []*shape[V]
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portals []geometry.Line[V]
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portals []geometry.LineSegment[V]
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boundingRadius V
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centroid geometry.Point[V]
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edges []geometry.Line[V]
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edges []geometry.LineSegment[V]
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weight V
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x, y V
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}
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func (slf *shape[V]) Edges() []geometry.Line[V] {
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func (slf *shape[V]) Edges() []geometry.LineSegment[V] {
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return slf.edges
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}
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@ -174,7 +174,7 @@ func DoublePointToCoordinate[V generic.SignedNumber](point1, point2 Point[V]) (x
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// CalcProjectionPoint 计算一个点到一条线段的最近点(即投影点)的。这个函数接收一个点和一条线段作为输入,线段由两个端点组成。
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// - 该函数的主要用于需要计算一个点到一条线段的最近点的情况下
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func CalcProjectionPoint[V generic.SignedNumber](line Line[V], point Point[V]) Point[V] {
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func CalcProjectionPoint[V generic.SignedNumber](line LineSegment[V], point Point[V]) Point[V] {
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ax, ay, bx, by := DoublePointToCoordinate(line.GetStart(), line.GetEnd())
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ds := CalcDistanceSquared(ax, ay, bx, by)
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px, py := point.GetXY()
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@ -363,22 +363,22 @@ func (slf Shape[V]) getAllGraphicComposition(opt *shapeSearchOptions) (result []
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// Edges 获取该形状每一条边
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// - 该形状需要最少由3个点组成,否则将不会返回任意一边
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func (slf Shape[V]) Edges() (edges []Line[V]) {
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func (slf Shape[V]) Edges() (edges []LineSegment[V]) {
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if len(slf) < 3 {
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return
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}
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for i := 1; i < slf.PointCount(); i++ {
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before := slf[i-1]
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edges = append(edges, NewLine(before, slf[i]))
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edges = append(edges, NewLineSegment(before, slf[i]))
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}
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edges = append(edges, NewLine(slf[0], slf[len(slf)-1]))
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edges = append(edges, NewLineSegment(slf[0], slf[len(slf)-1]))
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return edges
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}
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// IsPointOnEdge 检查点是否在该形状的一条边上
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func (slf Shape[V]) IsPointOnEdge(point Point[V]) bool {
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for _, edge := range slf.Edges() {
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if PointOnSegmentWithPoint(edge.GetStart(), edge.GetEnd(), point) {
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if PointOnLineSegmentWithPointInBounds(edge.GetStart(), edge.GetEnd(), point) {
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return true
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}
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}
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@ -442,9 +442,9 @@ func CalcTriangleTwiceArea[V generic.SignedNumber](a, b, c Point[V]) V {
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}
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// IsPointOnEdge 检查点是否在 edges 的任意一条边上
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func IsPointOnEdge[V generic.SignedNumber](edges []Line[V], point Point[V]) bool {
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func IsPointOnEdge[V generic.SignedNumber](edges []LineSegment[V], point Point[V]) bool {
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for _, edge := range edges {
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if PointOnSegmentWithPoint(edge.GetStart(), edge.GetEnd(), point) {
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if PointOnLineSegmentWithPointInBounds(edge.GetStart(), edge.GetEnd(), point) {
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return true
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}
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}
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