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golang/geo
s2/loop.go
ChainEdge
func (l *Loop) ChainEdge(chainID, offset int) Edge { return Edge{l.Vertex(offset), l.Vertex(offset + 1)} }
go
func (l *Loop) ChainEdge(chainID, offset int) Edge { return Edge{l.Vertex(offset), l.Vertex(offset + 1)} }
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// ChainEdge returns the j-th edge of the i-th edge chain.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L496-L498
train
golang/geo
s2/loop.go
bruteForceContainsPoint
func (l *Loop) bruteForceContainsPoint(p Point) bool { origin := OriginPoint() inside := l.originInside crosser := NewChainEdgeCrosser(origin, p, l.Vertex(0)) for i := 1; i <= len(l.vertices); i++ { // add vertex 0 twice inside = inside != crosser.EdgeOrVertexChainCrossing(l.Vertex(i)) } return inside }
go
func (l *Loop) bruteForceContainsPoint(p Point) bool { origin := OriginPoint() inside := l.originInside crosser := NewChainEdgeCrosser(origin, p, l.Vertex(0)) for i := 1; i <= len(l.vertices); i++ { // add vertex 0 twice inside = inside != crosser.EdgeOrVertexChainCrossing(l.Vertex(i)) } return inside }
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// bruteForceContainsPoint reports if the given point is contained by this loop. // This method does not use the ShapeIndex, so it is only preferable below a certain // size of loop.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L576-L584
train
golang/geo
s2/loop.go
ContainsPoint
func (l *Loop) ContainsPoint(p Point) bool { // Empty and full loops don't need a special case, but invalid loops with // zero vertices do, so we might as well handle them all at once. if len(l.vertices) < 3 { return l.originInside } // For small loops, and during initial construction, it is faster to just // check all the crossing. const maxBruteForceVertices = 32 if len(l.vertices) < maxBruteForceVertices || l.index == nil { return l.bruteForceContainsPoint(p) } // Otherwise, look up the point in the index. it := l.index.Iterator() if !it.LocatePoint(p) { return false } return l.iteratorContainsPoint(it, p) }
go
func (l *Loop) ContainsPoint(p Point) bool { // Empty and full loops don't need a special case, but invalid loops with // zero vertices do, so we might as well handle them all at once. if len(l.vertices) < 3 { return l.originInside } // For small loops, and during initial construction, it is faster to just // check all the crossing. const maxBruteForceVertices = 32 if len(l.vertices) < maxBruteForceVertices || l.index == nil { return l.bruteForceContainsPoint(p) } // Otherwise, look up the point in the index. it := l.index.Iterator() if !it.LocatePoint(p) { return false } return l.iteratorContainsPoint(it, p) }
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// ContainsPoint returns true if the loop contains the point.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L587-L607
train
golang/geo
s2/loop.go
ContainsCell
func (l *Loop) ContainsCell(target Cell) bool { it := l.index.Iterator() relation := it.LocateCellID(target.ID()) // If "target" is disjoint from all index cells, it is not contained. // Similarly, if "target" is subdivided into one or more index cells then it // is not contained, since index cells are subdivided only if they (nearly) // intersect a sufficient number of edges. (But note that if "target" itself // is an index cell then it may be contained, since it could be a cell with // no edges in the loop interior.) if relation != Indexed { return false } // Otherwise check if any edges intersect "target". if l.boundaryApproxIntersects(it, target) { return false } // Otherwise check if the loop contains the center of "target". return l.iteratorContainsPoint(it, target.Center()) }
go
func (l *Loop) ContainsCell(target Cell) bool { it := l.index.Iterator() relation := it.LocateCellID(target.ID()) // If "target" is disjoint from all index cells, it is not contained. // Similarly, if "target" is subdivided into one or more index cells then it // is not contained, since index cells are subdivided only if they (nearly) // intersect a sufficient number of edges. (But note that if "target" itself // is an index cell then it may be contained, since it could be a cell with // no edges in the loop interior.) if relation != Indexed { return false } // Otherwise check if any edges intersect "target". if l.boundaryApproxIntersects(it, target) { return false } // Otherwise check if the loop contains the center of "target". return l.iteratorContainsPoint(it, target.Center()) }
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// ContainsCell reports whether the given Cell is contained by this Loop.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L610-L631
train
golang/geo
s2/loop.go
IntersectsCell
func (l *Loop) IntersectsCell(target Cell) bool { it := l.index.Iterator() relation := it.LocateCellID(target.ID()) // If target does not overlap any index cell, there is no intersection. if relation == Disjoint { return false } // If target is subdivided into one or more index cells, there is an // intersection to within the ShapeIndex error bound (see Contains). if relation == Subdivided { return true } // If target is an index cell, there is an intersection because index cells // are created only if they have at least one edge or they are entirely // contained by the loop. if it.CellID() == target.id { return true } // Otherwise check if any edges intersect target. if l.boundaryApproxIntersects(it, target) { return true } // Otherwise check if the loop contains the center of target. return l.iteratorContainsPoint(it, target.Center()) }
go
func (l *Loop) IntersectsCell(target Cell) bool { it := l.index.Iterator() relation := it.LocateCellID(target.ID()) // If target does not overlap any index cell, there is no intersection. if relation == Disjoint { return false } // If target is subdivided into one or more index cells, there is an // intersection to within the ShapeIndex error bound (see Contains). if relation == Subdivided { return true } // If target is an index cell, there is an intersection because index cells // are created only if they have at least one edge or they are entirely // contained by the loop. if it.CellID() == target.id { return true } // Otherwise check if any edges intersect target. if l.boundaryApproxIntersects(it, target) { return true } // Otherwise check if the loop contains the center of target. return l.iteratorContainsPoint(it, target.Center()) }
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// IntersectsCell reports whether this Loop intersects the given cell.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L634-L659
train
golang/geo
s2/loop.go
iteratorContainsPoint
func (l *Loop) iteratorContainsPoint(it *ShapeIndexIterator, p Point) bool { // Test containment by drawing a line segment from the cell center to the // given point and counting edge crossings. aClipped := it.IndexCell().findByShapeID(0) inside := aClipped.containsCenter if len(aClipped.edges) > 0 { center := it.Center() crosser := NewEdgeCrosser(center, p) aiPrev := -2 for _, ai := range aClipped.edges { if ai != aiPrev+1 { crosser.RestartAt(l.Vertex(ai)) } aiPrev = ai inside = inside != crosser.EdgeOrVertexChainCrossing(l.Vertex(ai+1)) } } return inside }
go
func (l *Loop) iteratorContainsPoint(it *ShapeIndexIterator, p Point) bool { // Test containment by drawing a line segment from the cell center to the // given point and counting edge crossings. aClipped := it.IndexCell().findByShapeID(0) inside := aClipped.containsCenter if len(aClipped.edges) > 0 { center := it.Center() crosser := NewEdgeCrosser(center, p) aiPrev := -2 for _, ai := range aClipped.edges { if ai != aiPrev+1 { crosser.RestartAt(l.Vertex(ai)) } aiPrev = ai inside = inside != crosser.EdgeOrVertexChainCrossing(l.Vertex(ai+1)) } } return inside }
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// iteratorContainsPoint reports if the iterator that is positioned at the ShapeIndexCell // that may contain p, contains the point p.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L698-L716
train
golang/geo
s2/loop.go
RegularLoop
func RegularLoop(center Point, radius s1.Angle, numVertices int) *Loop { return RegularLoopForFrame(getFrame(center), radius, numVertices) }
go
func RegularLoop(center Point, radius s1.Angle, numVertices int) *Loop { return RegularLoopForFrame(getFrame(center), radius, numVertices) }
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// RegularLoop creates a loop with the given number of vertices, all // located on a circle of the specified radius around the given center.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L720-L722
train
golang/geo
s2/loop.go
RegularLoopForFrame
func RegularLoopForFrame(frame matrix3x3, radius s1.Angle, numVertices int) *Loop { return LoopFromPoints(regularPointsForFrame(frame, radius, numVertices)) }
go
func RegularLoopForFrame(frame matrix3x3, radius s1.Angle, numVertices int) *Loop { return LoopFromPoints(regularPointsForFrame(frame, radius, numVertices)) }
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// RegularLoopForFrame creates a loop centered around the z-axis of the given // coordinate frame, with the first vertex in the direction of the positive x-axis.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L726-L728
train
golang/geo
s2/loop.go
turningAngleMaxError
func (l *Loop) turningAngleMaxError() float64 { // The maximum error can be bounded as follows: // 2.24 * dblEpsilon for RobustCrossProd(b, a) // 2.24 * dblEpsilon for RobustCrossProd(c, b) // 3.25 * dblEpsilon for Angle() // 2.00 * dblEpsilon for each addition in the Kahan summation // ------------------ // 9.73 * dblEpsilon maxErrorPerVertex := 9.73 * dblEpsilon return maxErrorPerVertex * float64(len(l.vertices)) }
go
func (l *Loop) turningAngleMaxError() float64 { // The maximum error can be bounded as follows: // 2.24 * dblEpsilon for RobustCrossProd(b, a) // 2.24 * dblEpsilon for RobustCrossProd(c, b) // 3.25 * dblEpsilon for Angle() // 2.00 * dblEpsilon for each addition in the Kahan summation // ------------------ // 9.73 * dblEpsilon maxErrorPerVertex := 9.73 * dblEpsilon return maxErrorPerVertex * float64(len(l.vertices)) }
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// turningAngleMaxError return the maximum error in TurningAngle. The value is not // constant; it depends on the loop.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L808-L818
train
golang/geo
s2/loop.go
findVertex
func (l *Loop) findVertex(p Point) (index int, ok bool) { const notFound = 0 if len(l.vertices) < 10 { // Exhaustive search for loops below a small threshold. for i := 1; i <= len(l.vertices); i++ { if l.Vertex(i) == p { return i, true } } return notFound, false } it := l.index.Iterator() if !it.LocatePoint(p) { return notFound, false } aClipped := it.IndexCell().findByShapeID(0) for i := aClipped.numEdges() - 1; i >= 0; i-- { ai := aClipped.edges[i] if l.Vertex(ai) == p { if ai == 0 { return len(l.vertices), true } return ai, true } if l.Vertex(ai+1) == p { return ai + 1, true } } return notFound, false }
go
func (l *Loop) findVertex(p Point) (index int, ok bool) { const notFound = 0 if len(l.vertices) < 10 { // Exhaustive search for loops below a small threshold. for i := 1; i <= len(l.vertices); i++ { if l.Vertex(i) == p { return i, true } } return notFound, false } it := l.index.Iterator() if !it.LocatePoint(p) { return notFound, false } aClipped := it.IndexCell().findByShapeID(0) for i := aClipped.numEdges() - 1; i >= 0; i-- { ai := aClipped.edges[i] if l.Vertex(ai) == p { if ai == 0 { return len(l.vertices), true } return ai, true } if l.Vertex(ai+1) == p { return ai + 1, true } } return notFound, false }
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// findVertex returns the index of the vertex at the given Point in the range // 1..numVertices, and a boolean indicating if a vertex was found.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L892-L924
train
golang/geo
s2/loop.go
Encode
func (l Loop) Encode(w io.Writer) error { e := &encoder{w: w} l.encode(e) return e.err }
go
func (l Loop) Encode(w io.Writer) error { e := &encoder{w: w} l.encode(e) return e.err }
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// Encode encodes the Loop.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L1220-L1224
train
golang/geo
s2/loop.go
Decode
func (l *Loop) Decode(r io.Reader) error { *l = Loop{} d := &decoder{r: asByteReader(r)} l.decode(d) return d.err }
go
func (l *Loop) Decode(r io.Reader) error { *l = Loop{} d := &decoder{r: asByteReader(r)} l.decode(d) return d.err }
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// Decode decodes a loop.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L1243-L1248
train
golang/geo
s2/loop.go
startEdge
func (l *loopCrosser) startEdge(aj int) { l.crosser = NewEdgeCrosser(l.a.Vertex(aj), l.a.Vertex(aj+1)) l.aj = aj l.bjPrev = -2 }
go
func (l *loopCrosser) startEdge(aj int) { l.crosser = NewEdgeCrosser(l.a.Vertex(aj), l.a.Vertex(aj+1)) l.aj = aj l.bjPrev = -2 }
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// startEdge sets the crossers state for checking the given edge of loop A.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L1466-L1470
train
golang/geo
s2/loop.go
edgeCrossesCell
func (l *loopCrosser) edgeCrossesCell(bClipped *clippedShape) bool { // Test the current edge of A against all edges of bClipped bNumEdges := bClipped.numEdges() for j := 0; j < bNumEdges; j++ { bj := bClipped.edges[j] if bj != l.bjPrev+1 { l.crosser.RestartAt(l.b.Vertex(bj)) } l.bjPrev = bj if crossing := l.crosser.ChainCrossingSign(l.b.Vertex(bj + 1)); crossing == DoNotCross { continue } else if crossing == Cross { return true } // We only need to check each shared vertex once, so we only // consider the case where l.aVertex(l.aj+1) == l.b.Vertex(bj+1). if l.a.Vertex(l.aj+1) == l.b.Vertex(bj+1) { if l.swapped { if l.relation.wedgesCross(l.b.Vertex(bj), l.b.Vertex(bj+1), l.b.Vertex(bj+2), l.a.Vertex(l.aj), l.a.Vertex(l.aj+2)) { return true } } else { if l.relation.wedgesCross(l.a.Vertex(l.aj), l.a.Vertex(l.aj+1), l.a.Vertex(l.aj+2), l.b.Vertex(bj), l.b.Vertex(bj+2)) { return true } } } } return false }
go
func (l *loopCrosser) edgeCrossesCell(bClipped *clippedShape) bool { // Test the current edge of A against all edges of bClipped bNumEdges := bClipped.numEdges() for j := 0; j < bNumEdges; j++ { bj := bClipped.edges[j] if bj != l.bjPrev+1 { l.crosser.RestartAt(l.b.Vertex(bj)) } l.bjPrev = bj if crossing := l.crosser.ChainCrossingSign(l.b.Vertex(bj + 1)); crossing == DoNotCross { continue } else if crossing == Cross { return true } // We only need to check each shared vertex once, so we only // consider the case where l.aVertex(l.aj+1) == l.b.Vertex(bj+1). if l.a.Vertex(l.aj+1) == l.b.Vertex(bj+1) { if l.swapped { if l.relation.wedgesCross(l.b.Vertex(bj), l.b.Vertex(bj+1), l.b.Vertex(bj+2), l.a.Vertex(l.aj), l.a.Vertex(l.aj+2)) { return true } } else { if l.relation.wedgesCross(l.a.Vertex(l.aj), l.a.Vertex(l.aj+1), l.a.Vertex(l.aj+2), l.b.Vertex(bj), l.b.Vertex(bj+2)) { return true } } } } return false }
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// edgeCrossesCell reports whether the current edge of loop A has any crossings with // edges of the index cell of loop B.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L1474-L1505
train
golang/geo
s2/loop.go
cellCrossesCell
func (l *loopCrosser) cellCrossesCell(aClipped, bClipped *clippedShape) bool { // Test all edges of aClipped against all edges of bClipped. for _, edge := range aClipped.edges { l.startEdge(edge) if l.edgeCrossesCell(bClipped) { return true } } return false }
go
func (l *loopCrosser) cellCrossesCell(aClipped, bClipped *clippedShape) bool { // Test all edges of aClipped against all edges of bClipped. for _, edge := range aClipped.edges { l.startEdge(edge) if l.edgeCrossesCell(bClipped) { return true } } return false }
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// cellCrossesCell reports whether there are any edge crossings or wedge crossings // within the two given cells.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L1509-L1519
train
golang/geo
s2/loop.go
cellCrossesAnySubcell
func (l *loopCrosser) cellCrossesAnySubcell(aClipped *clippedShape, bID CellID) bool { // Test all edges of aClipped against all edges of B. The relevant B // edges are guaranteed to be children of bID, which lets us find the // correct index cells more efficiently. bRoot := PaddedCellFromCellID(bID, 0) for _, aj := range aClipped.edges { // Use an CrossingEdgeQuery starting at bRoot to find the index cells // of B that might contain crossing edges. l.bCells = l.bQuery.getCells(l.a.Vertex(aj), l.a.Vertex(aj+1), bRoot) if len(l.bCells) == 0 { continue } l.startEdge(aj) for c := 0; c < len(l.bCells); c++ { if l.edgeCrossesCell(l.bCells[c].shapes[0]) { return true } } } return false }
go
func (l *loopCrosser) cellCrossesAnySubcell(aClipped *clippedShape, bID CellID) bool { // Test all edges of aClipped against all edges of B. The relevant B // edges are guaranteed to be children of bID, which lets us find the // correct index cells more efficiently. bRoot := PaddedCellFromCellID(bID, 0) for _, aj := range aClipped.edges { // Use an CrossingEdgeQuery starting at bRoot to find the index cells // of B that might contain crossing edges. l.bCells = l.bQuery.getCells(l.a.Vertex(aj), l.a.Vertex(aj+1), bRoot) if len(l.bCells) == 0 { continue } l.startEdge(aj) for c := 0; c < len(l.bCells); c++ { if l.edgeCrossesCell(l.bCells[c].shapes[0]) { return true } } } return false }
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// cellCrossesAnySubcell reports whether given an index cell of A, if there are any // edge or wedge crossings with any index cell of B contained within bID.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/loop.go#L1523-L1544
train
golang/geo
s2/projections.go
Interpolate
func (p *MercatorProjection) Interpolate(f float64, a, b r2.Point) r2.Point { return a.Mul(1 - f).Add(b.Mul(f)) }
go
func (p *MercatorProjection) Interpolate(f float64, a, b r2.Point) r2.Point { return a.Mul(1 - f).Add(b.Mul(f)) }
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// Interpolate returns the point obtained by interpolating the given // fraction of the distance along the line from A to B.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/projections.go#L196-L198
train
golang/geo
s2/shape.go
defaultShapeIsEmpty
func defaultShapeIsEmpty(s Shape) bool { return s.NumEdges() == 0 && (s.Dimension() != 2 || s.NumChains() == 0) }
go
func defaultShapeIsEmpty(s Shape) bool { return s.NumEdges() == 0 && (s.Dimension() != 2 || s.NumChains() == 0) }
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// defaultShapeIsEmpty reports whether this shape contains no points.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shape.go#L228-L230
train
golang/geo
s2/shape.go
defaultShapeIsFull
func defaultShapeIsFull(s Shape) bool { return s.NumEdges() == 0 && s.Dimension() == 2 && s.NumChains() > 0 }
go
func defaultShapeIsFull(s Shape) bool { return s.NumEdges() == 0 && s.Dimension() == 2 && s.NumChains() > 0 }
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// defaultShapeIsFull reports whether this shape contains all points on the sphere.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shape.go#L233-L235
train
golang/geo
s2/shapeindex.go
newClippedShape
func newClippedShape(id int32, numEdges int) *clippedShape { return &clippedShape{ shapeID: id, edges: make([]int, numEdges), } }
go
func newClippedShape(id int32, numEdges int) *clippedShape { return &clippedShape{ shapeID: id, edges: make([]int, numEdges), } }
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// newClippedShape returns a new clipped shape for the given shapeID and number of expected edges.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L86-L91
train
golang/geo
s2/shapeindex.go
containsEdge
func (c *clippedShape) containsEdge(id int) bool { // Linear search is fast because the number of edges per shape is typically // very small (less than 10). for _, e := range c.edges { if e == id { return true } } return false }
go
func (c *clippedShape) containsEdge(id int) bool { // Linear search is fast because the number of edges per shape is typically // very small (less than 10). for _, e := range c.edges { if e == id { return true } } return false }
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// containsEdge reports if this clipped shape contains the given edge ID.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L99-L108
train
golang/geo
s2/shapeindex.go
numEdges
func (s *ShapeIndexCell) numEdges() int { var e int for _, cs := range s.shapes { e += cs.numEdges() } return e }
go
func (s *ShapeIndexCell) numEdges() int { var e int for _, cs := range s.shapes { e += cs.numEdges() } return e }
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// numEdges reports the total number of edges in all clipped shapes in this cell.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L123-L129
train
golang/geo
s2/shapeindex.go
add
func (s *ShapeIndexCell) add(c *clippedShape) { // C++ uses a set, so it's ordered and unique. We don't currently catch // the case when a duplicate value is added. s.shapes = append(s.shapes, c) }
go
func (s *ShapeIndexCell) add(c *clippedShape) { // C++ uses a set, so it's ordered and unique. We don't currently catch // the case when a duplicate value is added. s.shapes = append(s.shapes, c) }
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// add adds the given clipped shape to this index cell.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L132-L136
train
golang/geo
s2/shapeindex.go
findByShapeID
func (s *ShapeIndexCell) findByShapeID(shapeID int32) *clippedShape { // Linear search is fine because the number of shapes per cell is typically // very small (most often 1), and is large only for pathological inputs // (e.g. very deeply nested loops). for _, clipped := range s.shapes { if clipped.shapeID == shapeID { return clipped } } return nil }
go
func (s *ShapeIndexCell) findByShapeID(shapeID int32) *clippedShape { // Linear search is fine because the number of shapes per cell is typically // very small (most often 1), and is large only for pathological inputs // (e.g. very deeply nested loops). for _, clipped := range s.shapes { if clipped.shapeID == shapeID { return clipped } } return nil }
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// findByShapeID returns the clipped shape that contains the given shapeID, // or nil if none of the clipped shapes contain it.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L140-L150
train
golang/geo
s2/shapeindex.go
NewShapeIndexIterator
func NewShapeIndexIterator(index *ShapeIndex, pos ...ShapeIndexIteratorPos) *ShapeIndexIterator { s := &ShapeIndexIterator{ index: index, } if len(pos) > 0 { if len(pos) > 1 { panic("too many ShapeIndexIteratorPos arguments") } switch pos[0] { case IteratorBegin: s.Begin() case IteratorEnd: s.End() default: panic("unknown ShapeIndexIteratorPos value") } } return s }
go
func NewShapeIndexIterator(index *ShapeIndex, pos ...ShapeIndexIteratorPos) *ShapeIndexIterator { s := &ShapeIndexIterator{ index: index, } if len(pos) > 0 { if len(pos) > 1 { panic("too many ShapeIndexIteratorPos arguments") } switch pos[0] { case IteratorBegin: s.Begin() case IteratorEnd: s.End() default: panic("unknown ShapeIndexIteratorPos value") } } return s }
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// NewShapeIndexIterator creates a new iterator for the given index. If a starting // position is specified, the iterator is positioned at the given spot.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L212-L232
train
golang/geo
s2/shapeindex.go
Begin
func (s *ShapeIndexIterator) Begin() { if !s.index.IsFresh() { s.index.maybeApplyUpdates() } s.position = 0 s.refresh() }
go
func (s *ShapeIndexIterator) Begin() { if !s.index.IsFresh() { s.index.maybeApplyUpdates() } s.position = 0 s.refresh() }
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// Begin positions the iterator at the beginning of the index.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L254-L260
train
golang/geo
s2/shapeindex.go
Prev
func (s *ShapeIndexIterator) Prev() bool { if s.position <= 0 { return false } s.position-- s.refresh() return true }
go
func (s *ShapeIndexIterator) Prev() bool { if s.position <= 0 { return false } s.position-- s.refresh() return true }
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// Prev advances the iterator to the previous cell in the index and returns true to // indicate it was not yet at the beginning of the index. If the iterator is at the // first cell the call does nothing and returns false.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L271-L279
train
golang/geo
s2/shapeindex.go
End
func (s *ShapeIndexIterator) End() { s.position = len(s.index.cells) s.refresh() }
go
func (s *ShapeIndexIterator) End() { s.position = len(s.index.cells) s.refresh() }
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// End positions the iterator at the end of the index.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L282-L285
train
golang/geo
s2/shapeindex.go
refresh
func (s *ShapeIndexIterator) refresh() { if s.position < len(s.index.cells) { s.id = s.index.cells[s.position] s.cell = s.index.cellMap[s.CellID()] } else { s.id = SentinelCellID s.cell = nil } }
go
func (s *ShapeIndexIterator) refresh() { if s.position < len(s.index.cells) { s.id = s.index.cells[s.position] s.cell = s.index.cellMap[s.CellID()] } else { s.id = SentinelCellID s.cell = nil } }
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// refresh updates the stored internal iterator values.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L293-L301
train
golang/geo
s2/shapeindex.go
seek
func (s *ShapeIndexIterator) seek(target CellID) { s.position = 0 // In C++, this relies on the lower_bound method of the underlying btree_map. // TODO(roberts): Convert this to a binary search since the list of cells is ordered. for k, v := range s.index.cells { // We've passed the cell that is after us, so we are done. if v >= target { s.position = k break } // Otherwise, advance the position. s.position++ } s.refresh() }
go
func (s *ShapeIndexIterator) seek(target CellID) { s.position = 0 // In C++, this relies on the lower_bound method of the underlying btree_map. // TODO(roberts): Convert this to a binary search since the list of cells is ordered. for k, v := range s.index.cells { // We've passed the cell that is after us, so we are done. if v >= target { s.position = k break } // Otherwise, advance the position. s.position++ } s.refresh() }
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// seek positions the iterator at the first cell whose ID >= target, or at the // end of the index if no such cell exists.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L305-L319
train
golang/geo
s2/shapeindex.go
LocatePoint
func (s *ShapeIndexIterator) LocatePoint(p Point) bool { // Let I = cellMap.LowerBound(T), where T is the leaf cell containing // point P. Then if T is contained by an index cell, then the // containing cell is either I or I'. We test for containment by comparing // the ranges of leaf cells spanned by T, I, and I'. target := cellIDFromPoint(p) s.seek(target) if !s.Done() && s.CellID().RangeMin() <= target { return true } if s.Prev() && s.CellID().RangeMax() >= target { return true } return false }
go
func (s *ShapeIndexIterator) LocatePoint(p Point) bool { // Let I = cellMap.LowerBound(T), where T is the leaf cell containing // point P. Then if T is contained by an index cell, then the // containing cell is either I or I'. We test for containment by comparing // the ranges of leaf cells spanned by T, I, and I'. target := cellIDFromPoint(p) s.seek(target) if !s.Done() && s.CellID().RangeMin() <= target { return true } if s.Prev() && s.CellID().RangeMax() >= target { return true } return false }
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// LocatePoint positions the iterator at the cell that contains the given Point. // If no such cell exists, the iterator position is unspecified, and false is returned. // The cell at the matched position is guaranteed to contain all edges that might // intersect the line segment between target and the cell's center.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L325-L340
train
golang/geo
s2/shapeindex.go
newTracker
func newTracker() *tracker { // As shapes are added, we compute which ones contain the start of the // CellID space-filling curve by drawing an edge from OriginPoint to this // point and counting how many shape edges cross this edge. t := &tracker{ isActive: false, b: trackerOrigin(), nextCellID: CellIDFromFace(0).ChildBeginAtLevel(maxLevel), } t.drawTo(Point{faceUVToXYZ(0, -1, -1).Normalize()}) // CellID curve start return t }
go
func newTracker() *tracker { // As shapes are added, we compute which ones contain the start of the // CellID space-filling curve by drawing an edge from OriginPoint to this // point and counting how many shape edges cross this edge. t := &tracker{ isActive: false, b: trackerOrigin(), nextCellID: CellIDFromFace(0).ChildBeginAtLevel(maxLevel), } t.drawTo(Point{faceUVToXYZ(0, -1, -1).Normalize()}) // CellID curve start return t }
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// newTracker returns a new tracker with the appropriate defaults.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L402-L414
train
golang/geo
s2/shapeindex.go
drawTo
func (t *tracker) drawTo(b Point) { t.a = t.b t.b = b // TODO: the edge crosser may need an in-place Init method if this gets expensive t.crosser = NewEdgeCrosser(t.a, t.b) }
go
func (t *tracker) drawTo(b Point) { t.a = t.b t.b = b // TODO: the edge crosser may need an in-place Init method if this gets expensive t.crosser = NewEdgeCrosser(t.a, t.b) }
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// drawTo moves the focus of the tracker to the given point. After this method is // called, testEdge should be called with all edges that may cross the line // segment between the old and new focus locations.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L449-L454
train
golang/geo
s2/shapeindex.go
toggleShape
func (t *tracker) toggleShape(shapeID int32) { // Most shapeIDs slices are small, so special case the common steps. // If there is nothing here, add it. if len(t.shapeIDs) == 0 { t.shapeIDs = append(t.shapeIDs, shapeID) return } // If it's the first element, drop it from the slice. if t.shapeIDs[0] == shapeID { t.shapeIDs = t.shapeIDs[1:] return } for i, s := range t.shapeIDs { if s < shapeID { continue } // If it's in the set, cut it out. if s == shapeID { copy(t.shapeIDs[i:], t.shapeIDs[i+1:]) // overwrite the ith element t.shapeIDs = t.shapeIDs[:len(t.shapeIDs)-1] return } // We've got to a point in the slice where we should be inserted. // (the given shapeID is now less than the current positions id.) t.shapeIDs = append(t.shapeIDs[0:i], append([]int32{shapeID}, t.shapeIDs[i:len(t.shapeIDs)]...)...) return } // We got to the end and didn't find it, so add it to the list. t.shapeIDs = append(t.shapeIDs, shapeID) }
go
func (t *tracker) toggleShape(shapeID int32) { // Most shapeIDs slices are small, so special case the common steps. // If there is nothing here, add it. if len(t.shapeIDs) == 0 { t.shapeIDs = append(t.shapeIDs, shapeID) return } // If it's the first element, drop it from the slice. if t.shapeIDs[0] == shapeID { t.shapeIDs = t.shapeIDs[1:] return } for i, s := range t.shapeIDs { if s < shapeID { continue } // If it's in the set, cut it out. if s == shapeID { copy(t.shapeIDs[i:], t.shapeIDs[i+1:]) // overwrite the ith element t.shapeIDs = t.shapeIDs[:len(t.shapeIDs)-1] return } // We've got to a point in the slice where we should be inserted. // (the given shapeID is now less than the current positions id.) t.shapeIDs = append(t.shapeIDs[0:i], append([]int32{shapeID}, t.shapeIDs[i:len(t.shapeIDs)]...)...) return } // We got to the end and didn't find it, so add it to the list. t.shapeIDs = append(t.shapeIDs, shapeID) }
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// toggleShape adds or removes the given shapeID from the set of IDs it is tracking.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L481-L517
train
golang/geo
s2/shapeindex.go
restoreStateBefore
func (t *tracker) restoreStateBefore(limitShapeID int32) { limit := t.lowerBound(limitShapeID) t.shapeIDs = append(append([]int32(nil), t.savedIDs...), t.shapeIDs[limit:]...) t.savedIDs = nil }
go
func (t *tracker) restoreStateBefore(limitShapeID int32) { limit := t.lowerBound(limitShapeID) t.shapeIDs = append(append([]int32(nil), t.savedIDs...), t.shapeIDs[limit:]...) t.savedIDs = nil }
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// restoreStateBefore restores the state previously saved by saveAndClearStateBefore. // This only affects the state for shapeIDs below "limitShapeID".
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L530-L534
train
golang/geo
s2/shapeindex.go
NewShapeIndex
func NewShapeIndex() *ShapeIndex { return &ShapeIndex{ maxEdgesPerCell: 10, shapes: make(map[int32]Shape), cellMap: make(map[CellID]*ShapeIndexCell), cells: nil, status: fresh, } }
go
func NewShapeIndex() *ShapeIndex { return &ShapeIndex{ maxEdgesPerCell: 10, shapes: make(map[int32]Shape), cellMap: make(map[CellID]*ShapeIndexCell), cells: nil, status: fresh, } }
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// NewShapeIndex creates a new ShapeIndex.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L631-L639
train
golang/geo
s2/shapeindex.go
Reset
func (s *ShapeIndex) Reset() { s.shapes = make(map[int32]Shape) s.nextID = 0 s.cellMap = make(map[CellID]*ShapeIndexCell) s.cells = nil atomic.StoreInt32(&s.status, fresh) }
go
func (s *ShapeIndex) Reset() { s.shapes = make(map[int32]Shape) s.nextID = 0 s.cellMap = make(map[CellID]*ShapeIndexCell) s.cells = nil atomic.StoreInt32(&s.status, fresh) }
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// Reset resets the index to its original state.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L669-L675
train
golang/geo
s2/shapeindex.go
NumEdges
func (s *ShapeIndex) NumEdges() int { numEdges := 0 for _, shape := range s.shapes { numEdges += shape.NumEdges() } return numEdges }
go
func (s *ShapeIndex) NumEdges() int { numEdges := 0 for _, shape := range s.shapes { numEdges += shape.NumEdges() } return numEdges }
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// NumEdges returns the number of edges in this index.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L678-L684
train
golang/geo
s2/shapeindex.go
NumEdgesUpTo
func (s *ShapeIndex) NumEdgesUpTo(limit int) int { var numEdges int // We choose to iterate over the shapes in order to match the counting // up behavior in C++ and for test compatibility instead of using a // more idiomatic range over the shape map. for i := int32(0); i <= s.nextID; i++ { s := s.Shape(i) if s == nil { continue } numEdges += s.NumEdges() if numEdges >= limit { break } } return numEdges }
go
func (s *ShapeIndex) NumEdgesUpTo(limit int) int { var numEdges int // We choose to iterate over the shapes in order to match the counting // up behavior in C++ and for test compatibility instead of using a // more idiomatic range over the shape map. for i := int32(0); i <= s.nextID; i++ { s := s.Shape(i) if s == nil { continue } numEdges += s.NumEdges() if numEdges >= limit { break } } return numEdges }
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// NumEdgesUpTo returns the number of edges in the given index, up to the given // limit. If the limit is encountered, the current running total is returned, // which may be more than the limit.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L689-L706
train
golang/geo
s2/shapeindex.go
Add
func (s *ShapeIndex) Add(shape Shape) int32 { s.shapes[s.nextID] = shape s.nextID++ atomic.StoreInt32(&s.status, stale) return s.nextID - 1 }
go
func (s *ShapeIndex) Add(shape Shape) int32 { s.shapes[s.nextID] = shape s.nextID++ atomic.StoreInt32(&s.status, stale) return s.nextID - 1 }
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// Add adds the given shape to the index and returns the assigned ID..
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L728-L733
train
golang/geo
s2/shapeindex.go
Remove
func (s *ShapeIndex) Remove(shape Shape) { // The index updates itself lazily because it is much more efficient to // process additions and removals in batches. id := s.idForShape(shape) // If the shape wasn't found, it's already been removed or was not in the index. if s.shapes[id] == nil { return } // Remove the shape from the shapes map. delete(s.shapes, id) // We are removing a shape that has not yet been added to the index, // so there is nothing else to do. if id >= s.pendingAdditionsPos { return } numEdges := shape.NumEdges() removed := &removedShape{ shapeID: id, hasInterior: shape.Dimension() == 2, containsTrackerOrigin: shape.ReferencePoint().Contained, edges: make([]Edge, numEdges), } for e := 0; e < numEdges; e++ { removed.edges[e] = shape.Edge(e) } s.pendingRemovals = append(s.pendingRemovals, removed) atomic.StoreInt32(&s.status, stale) }
go
func (s *ShapeIndex) Remove(shape Shape) { // The index updates itself lazily because it is much more efficient to // process additions and removals in batches. id := s.idForShape(shape) // If the shape wasn't found, it's already been removed or was not in the index. if s.shapes[id] == nil { return } // Remove the shape from the shapes map. delete(s.shapes, id) // We are removing a shape that has not yet been added to the index, // so there is nothing else to do. if id >= s.pendingAdditionsPos { return } numEdges := shape.NumEdges() removed := &removedShape{ shapeID: id, hasInterior: shape.Dimension() == 2, containsTrackerOrigin: shape.ReferencePoint().Contained, edges: make([]Edge, numEdges), } for e := 0; e < numEdges; e++ { removed.edges[e] = shape.Edge(e) } s.pendingRemovals = append(s.pendingRemovals, removed) atomic.StoreInt32(&s.status, stale) }
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// Remove removes the given shape from the index.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L736-L769
train
golang/geo
s2/shapeindex.go
maybeApplyUpdates
func (s *ShapeIndex) maybeApplyUpdates() { // TODO(roberts): To avoid acquiring and releasing the mutex on every // query, we should use atomic operations when testing whether the status // is fresh and when updating the status to be fresh. This guarantees // that any thread that sees a status of fresh will also see the // corresponding index updates. if atomic.LoadInt32(&s.status) != fresh { s.mu.Lock() s.applyUpdatesInternal() atomic.StoreInt32(&s.status, fresh) s.mu.Unlock() } }
go
func (s *ShapeIndex) maybeApplyUpdates() { // TODO(roberts): To avoid acquiring and releasing the mutex on every // query, we should use atomic operations when testing whether the status // is fresh and when updating the status to be fresh. This guarantees // that any thread that sees a status of fresh will also see the // corresponding index updates. if atomic.LoadInt32(&s.status) != fresh { s.mu.Lock() s.applyUpdatesInternal() atomic.StoreInt32(&s.status, fresh) s.mu.Unlock() } }
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// maybeApplyUpdates checks if the index pieces have changed, and if so, applies pending updates.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L797-L809
train
golang/geo
s2/shapeindex.go
addShapeInternal
func (s *ShapeIndex) addShapeInternal(shapeID int32, allEdges [][]faceEdge, t *tracker) { shape, ok := s.shapes[shapeID] if !ok { // This shape has already been removed. return } faceEdge := faceEdge{ shapeID: shapeID, hasInterior: shape.Dimension() == 2, } if faceEdge.hasInterior { t.addShape(shapeID, containsBruteForce(shape, t.focus())) } numEdges := shape.NumEdges() for e := 0; e < numEdges; e++ { edge := shape.Edge(e) faceEdge.edgeID = e faceEdge.edge = edge faceEdge.maxLevel = maxLevelForEdge(edge) s.addFaceEdge(faceEdge, allEdges) } }
go
func (s *ShapeIndex) addShapeInternal(shapeID int32, allEdges [][]faceEdge, t *tracker) { shape, ok := s.shapes[shapeID] if !ok { // This shape has already been removed. return } faceEdge := faceEdge{ shapeID: shapeID, hasInterior: shape.Dimension() == 2, } if faceEdge.hasInterior { t.addShape(shapeID, containsBruteForce(shape, t.focus())) } numEdges := shape.NumEdges() for e := 0; e < numEdges; e++ { edge := shape.Edge(e) faceEdge.edgeID = e faceEdge.edge = edge faceEdge.maxLevel = maxLevelForEdge(edge) s.addFaceEdge(faceEdge, allEdges) } }
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// addShapeInternal clips all edges of the given shape to the six cube faces, // adds the clipped edges to the set of allEdges, and starts tracking its // interior if necessary.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L843-L868
train
golang/geo
s2/shapeindex.go
addFaceEdge
func (s *ShapeIndex) addFaceEdge(fe faceEdge, allEdges [][]faceEdge) { aFace := face(fe.edge.V0.Vector) // See if both endpoints are on the same face, and are far enough from // the edge of the face that they don't intersect any (padded) adjacent face. if aFace == face(fe.edge.V1.Vector) { x, y := validFaceXYZToUV(aFace, fe.edge.V0.Vector) fe.a = r2.Point{x, y} x, y = validFaceXYZToUV(aFace, fe.edge.V1.Vector) fe.b = r2.Point{x, y} maxUV := 1 - cellPadding if math.Abs(fe.a.X) <= maxUV && math.Abs(fe.a.Y) <= maxUV && math.Abs(fe.b.X) <= maxUV && math.Abs(fe.b.Y) <= maxUV { allEdges[aFace] = append(allEdges[aFace], fe) return } } // Otherwise, we simply clip the edge to all six faces. for face := 0; face < 6; face++ { if aClip, bClip, intersects := ClipToPaddedFace(fe.edge.V0, fe.edge.V1, face, cellPadding); intersects { fe.a = aClip fe.b = bClip allEdges[face] = append(allEdges[face], fe) } } return }
go
func (s *ShapeIndex) addFaceEdge(fe faceEdge, allEdges [][]faceEdge) { aFace := face(fe.edge.V0.Vector) // See if both endpoints are on the same face, and are far enough from // the edge of the face that they don't intersect any (padded) adjacent face. if aFace == face(fe.edge.V1.Vector) { x, y := validFaceXYZToUV(aFace, fe.edge.V0.Vector) fe.a = r2.Point{x, y} x, y = validFaceXYZToUV(aFace, fe.edge.V1.Vector) fe.b = r2.Point{x, y} maxUV := 1 - cellPadding if math.Abs(fe.a.X) <= maxUV && math.Abs(fe.a.Y) <= maxUV && math.Abs(fe.b.X) <= maxUV && math.Abs(fe.b.Y) <= maxUV { allEdges[aFace] = append(allEdges[aFace], fe) return } } // Otherwise, we simply clip the edge to all six faces. for face := 0; face < 6; face++ { if aClip, bClip, intersects := ClipToPaddedFace(fe.edge.V0, fe.edge.V1, face, cellPadding); intersects { fe.a = aClip fe.b = bClip allEdges[face] = append(allEdges[face], fe) } } return }
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// addFaceEdge adds the given faceEdge into the collection of all edges.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L871-L898
train
golang/geo
s2/shapeindex.go
shrinkToFit
func (s *ShapeIndex) shrinkToFit(pcell *PaddedCell, bound r2.Rect) CellID { shrunkID := pcell.ShrinkToFit(bound) if !s.isFirstUpdate() && shrunkID != pcell.CellID() { // Don't shrink any smaller than the existing index cells, since we need // to combine the new edges with those cells. iter := s.Iterator() if iter.LocateCellID(shrunkID) == Indexed { shrunkID = iter.CellID() } } return shrunkID }
go
func (s *ShapeIndex) shrinkToFit(pcell *PaddedCell, bound r2.Rect) CellID { shrunkID := pcell.ShrinkToFit(bound) if !s.isFirstUpdate() && shrunkID != pcell.CellID() { // Don't shrink any smaller than the existing index cells, since we need // to combine the new edges with those cells. iter := s.Iterator() if iter.LocateCellID(shrunkID) == Indexed { shrunkID = iter.CellID() } } return shrunkID }
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// shrinkToFit shrinks the PaddedCell to fit within the given bounds.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L950-L962
train
golang/geo
s2/shapeindex.go
skipCellRange
func (s *ShapeIndex) skipCellRange(begin, end CellID, t *tracker, disjointFromIndex bool) { // If we aren't in the interior of a shape, then skipping over cells is easy. if len(t.shapeIDs) == 0 { return } // Otherwise generate the list of cell ids that we need to visit, and create // an index entry for each one. skipped := CellUnionFromRange(begin, end) for _, cell := range skipped { var clippedEdges []*clippedEdge s.updateEdges(PaddedCellFromCellID(cell, cellPadding), clippedEdges, t, disjointFromIndex) } }
go
func (s *ShapeIndex) skipCellRange(begin, end CellID, t *tracker, disjointFromIndex bool) { // If we aren't in the interior of a shape, then skipping over cells is easy. if len(t.shapeIDs) == 0 { return } // Otherwise generate the list of cell ids that we need to visit, and create // an index entry for each one. skipped := CellUnionFromRange(begin, end) for _, cell := range skipped { var clippedEdges []*clippedEdge s.updateEdges(PaddedCellFromCellID(cell, cellPadding), clippedEdges, t, disjointFromIndex) } }
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// skipCellRange skips over the cells in the given range, creating index cells if we are // currently in the interior of at least one shape.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L966-L979
train
golang/geo
s2/shapeindex.go
makeIndexCell
func (s *ShapeIndex) makeIndexCell(p *PaddedCell, edges []*clippedEdge, t *tracker) bool { // If the cell is empty, no index cell is needed. (In most cases this // situation is detected before we get to this point, but this can happen // when all shapes in a cell are removed.) if len(edges) == 0 && len(t.shapeIDs) == 0 { return true } // Count the number of edges that have not reached their maximum level yet. // Return false if there are too many such edges. count := 0 for _, ce := range edges { if p.Level() < ce.faceEdge.maxLevel { count++ } if count > s.maxEdgesPerCell { return false } } // Possible optimization: Continue subdividing as long as exactly one child // of the padded cell intersects the given edges. This can be done by finding // the bounding box of all the edges and calling ShrinkToFit: // // cellID = p.ShrinkToFit(RectBound(edges)); // // Currently this is not beneficial; it slows down construction by 4-25% // (mainly computing the union of the bounding rectangles) and also slows // down queries (since more recursive clipping is required to get down to // the level of a spatial index cell). But it may be worth trying again // once containsCenter is computed and all algorithms are modified to // take advantage of it. // We update the InteriorTracker as follows. For every Cell in the index // we construct two edges: one edge from entry vertex of the cell to its // center, and one from the cell center to its exit vertex. Here entry // and exit refer the CellID ordering, i.e. the order in which points // are encountered along the 2 space-filling curve. The exit vertex then // becomes the entry vertex for the next cell in the index, unless there are // one or more empty intervening cells, in which case the InteriorTracker // state is unchanged because the intervening cells have no edges. // Shift the InteriorTracker focus point to the center of the current cell. if t.isActive && len(edges) != 0 { if !t.atCellID(p.id) { t.moveTo(p.EntryVertex()) } t.drawTo(p.Center()) s.testAllEdges(edges, t) } // Allocate and fill a new index cell. To get the total number of shapes we // need to merge the shapes associated with the intersecting edges together // with the shapes that happen to contain the cell center. cshapeIDs := t.shapeIDs numShapes := s.countShapes(edges, cshapeIDs) cell := NewShapeIndexCell(numShapes) // To fill the index cell we merge the two sources of shapes: edge shapes // (those that have at least one edge that intersects this cell), and // containing shapes (those that contain the cell center). We keep track // of the index of the next intersecting edge and the next containing shape // as we go along. Both sets of shape ids are already sorted. eNext := 0 cNextIdx := 0 for i := 0; i < numShapes; i++ { var clipped *clippedShape // advance to next value base + i eshapeID := int32(s.Len()) cshapeID := int32(eshapeID) // Sentinels if eNext != len(edges) { eshapeID = edges[eNext].faceEdge.shapeID } if cNextIdx < len(cshapeIDs) { cshapeID = cshapeIDs[cNextIdx] } eBegin := eNext if cshapeID < eshapeID { // The entire cell is in the shape interior. clipped = newClippedShape(cshapeID, 0) clipped.containsCenter = true cNextIdx++ } else { // Count the number of edges for this shape and allocate space for them. for eNext < len(edges) && edges[eNext].faceEdge.shapeID == eshapeID { eNext++ } clipped = newClippedShape(eshapeID, eNext-eBegin) for e := eBegin; e < eNext; e++ { clipped.edges[e-eBegin] = edges[e].faceEdge.edgeID } if cshapeID == eshapeID { clipped.containsCenter = true cNextIdx++ } } cell.shapes[i] = clipped } // Add this cell to the map. s.cellMap[p.id] = cell s.cells = append(s.cells, p.id) // Shift the tracker focus point to the exit vertex of this cell. if t.isActive && len(edges) != 0 { t.drawTo(p.ExitVertex()) s.testAllEdges(edges, t) t.setNextCellID(p.id.Next()) } return true }
go
func (s *ShapeIndex) makeIndexCell(p *PaddedCell, edges []*clippedEdge, t *tracker) bool { // If the cell is empty, no index cell is needed. (In most cases this // situation is detected before we get to this point, but this can happen // when all shapes in a cell are removed.) if len(edges) == 0 && len(t.shapeIDs) == 0 { return true } // Count the number of edges that have not reached their maximum level yet. // Return false if there are too many such edges. count := 0 for _, ce := range edges { if p.Level() < ce.faceEdge.maxLevel { count++ } if count > s.maxEdgesPerCell { return false } } // Possible optimization: Continue subdividing as long as exactly one child // of the padded cell intersects the given edges. This can be done by finding // the bounding box of all the edges and calling ShrinkToFit: // // cellID = p.ShrinkToFit(RectBound(edges)); // // Currently this is not beneficial; it slows down construction by 4-25% // (mainly computing the union of the bounding rectangles) and also slows // down queries (since more recursive clipping is required to get down to // the level of a spatial index cell). But it may be worth trying again // once containsCenter is computed and all algorithms are modified to // take advantage of it. // We update the InteriorTracker as follows. For every Cell in the index // we construct two edges: one edge from entry vertex of the cell to its // center, and one from the cell center to its exit vertex. Here entry // and exit refer the CellID ordering, i.e. the order in which points // are encountered along the 2 space-filling curve. The exit vertex then // becomes the entry vertex for the next cell in the index, unless there are // one or more empty intervening cells, in which case the InteriorTracker // state is unchanged because the intervening cells have no edges. // Shift the InteriorTracker focus point to the center of the current cell. if t.isActive && len(edges) != 0 { if !t.atCellID(p.id) { t.moveTo(p.EntryVertex()) } t.drawTo(p.Center()) s.testAllEdges(edges, t) } // Allocate and fill a new index cell. To get the total number of shapes we // need to merge the shapes associated with the intersecting edges together // with the shapes that happen to contain the cell center. cshapeIDs := t.shapeIDs numShapes := s.countShapes(edges, cshapeIDs) cell := NewShapeIndexCell(numShapes) // To fill the index cell we merge the two sources of shapes: edge shapes // (those that have at least one edge that intersects this cell), and // containing shapes (those that contain the cell center). We keep track // of the index of the next intersecting edge and the next containing shape // as we go along. Both sets of shape ids are already sorted. eNext := 0 cNextIdx := 0 for i := 0; i < numShapes; i++ { var clipped *clippedShape // advance to next value base + i eshapeID := int32(s.Len()) cshapeID := int32(eshapeID) // Sentinels if eNext != len(edges) { eshapeID = edges[eNext].faceEdge.shapeID } if cNextIdx < len(cshapeIDs) { cshapeID = cshapeIDs[cNextIdx] } eBegin := eNext if cshapeID < eshapeID { // The entire cell is in the shape interior. clipped = newClippedShape(cshapeID, 0) clipped.containsCenter = true cNextIdx++ } else { // Count the number of edges for this shape and allocate space for them. for eNext < len(edges) && edges[eNext].faceEdge.shapeID == eshapeID { eNext++ } clipped = newClippedShape(eshapeID, eNext-eBegin) for e := eBegin; e < eNext; e++ { clipped.edges[e-eBegin] = edges[e].faceEdge.edgeID } if cshapeID == eshapeID { clipped.containsCenter = true cNextIdx++ } } cell.shapes[i] = clipped } // Add this cell to the map. s.cellMap[p.id] = cell s.cells = append(s.cells, p.id) // Shift the tracker focus point to the exit vertex of this cell. if t.isActive && len(edges) != 0 { t.drawTo(p.ExitVertex()) s.testAllEdges(edges, t) t.setNextCellID(p.id.Next()) } return true }
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// makeIndexCell builds an indexCell from the given padded cell and set of edges and adds // it to the index. If the cell or edges are empty, no cell is added.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L1121-L1233
train
golang/geo
s2/shapeindex.go
updateBound
func (s *ShapeIndex) updateBound(edge *clippedEdge, uEnd int, u float64, vEnd int, v float64) *clippedEdge { c := &clippedEdge{faceEdge: edge.faceEdge} if uEnd == 0 { c.bound.X.Lo = u c.bound.X.Hi = edge.bound.X.Hi } else { c.bound.X.Lo = edge.bound.X.Lo c.bound.X.Hi = u } if vEnd == 0 { c.bound.Y.Lo = v c.bound.Y.Hi = edge.bound.Y.Hi } else { c.bound.Y.Lo = edge.bound.Y.Lo c.bound.Y.Hi = v } return c }
go
func (s *ShapeIndex) updateBound(edge *clippedEdge, uEnd int, u float64, vEnd int, v float64) *clippedEdge { c := &clippedEdge{faceEdge: edge.faceEdge} if uEnd == 0 { c.bound.X.Lo = u c.bound.X.Hi = edge.bound.X.Hi } else { c.bound.X.Lo = edge.bound.X.Lo c.bound.X.Hi = u } if vEnd == 0 { c.bound.Y.Lo = v c.bound.Y.Hi = edge.bound.Y.Hi } else { c.bound.Y.Lo = edge.bound.Y.Lo c.bound.Y.Hi = v } return c }
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// updateBound updates the specified endpoint of the given clipped edge and returns the // resulting clipped edge.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L1237-L1256
train
golang/geo
s2/shapeindex.go
clipVAxis
func (s *ShapeIndex) clipVAxis(edge *clippedEdge, middle r1.Interval) (a, b *clippedEdge) { if edge.bound.Y.Hi <= middle.Lo { // Edge is entirely contained in the lower child. return edge, nil } else if edge.bound.Y.Lo >= middle.Hi { // Edge is entirely contained in the upper child. return nil, edge } // The edge bound spans both children. return s.clipVBound(edge, 1, middle.Hi), s.clipVBound(edge, 0, middle.Lo) }
go
func (s *ShapeIndex) clipVAxis(edge *clippedEdge, middle r1.Interval) (a, b *clippedEdge) { if edge.bound.Y.Hi <= middle.Lo { // Edge is entirely contained in the lower child. return edge, nil } else if edge.bound.Y.Lo >= middle.Hi { // Edge is entirely contained in the upper child. return nil, edge } // The edge bound spans both children. return s.clipVBound(edge, 1, middle.Hi), s.clipVBound(edge, 0, middle.Lo) }
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// cliupVAxis returns the given edge clipped to within the boundaries of the middle // interval along the v-axis, and adds the result to its children.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L1326-L1336
train
golang/geo
s2/shapeindex.go
countShapes
func (s *ShapeIndex) countShapes(edges []*clippedEdge, shapeIDs []int32) int { count := 0 lastShapeID := int32(-1) // next clipped shape id in the shapeIDs list. clippedNext := int32(0) // index of the current element in the shapeIDs list. shapeIDidx := 0 for _, edge := range edges { if edge.faceEdge.shapeID == lastShapeID { continue } count++ lastShapeID = edge.faceEdge.shapeID // Skip over any containing shapes up to and including this one, // updating count as appropriate. for ; shapeIDidx < len(shapeIDs); shapeIDidx++ { clippedNext = shapeIDs[shapeIDidx] if clippedNext > lastShapeID { break } if clippedNext < lastShapeID { count++ } } } // Count any remaining containing shapes. count += int(len(shapeIDs)) - int(shapeIDidx) return count }
go
func (s *ShapeIndex) countShapes(edges []*clippedEdge, shapeIDs []int32) int { count := 0 lastShapeID := int32(-1) // next clipped shape id in the shapeIDs list. clippedNext := int32(0) // index of the current element in the shapeIDs list. shapeIDidx := 0 for _, edge := range edges { if edge.faceEdge.shapeID == lastShapeID { continue } count++ lastShapeID = edge.faceEdge.shapeID // Skip over any containing shapes up to and including this one, // updating count as appropriate. for ; shapeIDidx < len(shapeIDs); shapeIDidx++ { clippedNext = shapeIDs[shapeIDidx] if clippedNext > lastShapeID { break } if clippedNext < lastShapeID { count++ } } } // Count any remaining containing shapes. count += int(len(shapeIDs)) - int(shapeIDidx) return count }
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// countShapes reports the number of distinct shapes that are either associated with the // given edges, or that are currently stored in the InteriorTracker.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L1468-L1500
train
golang/geo
s2/shapeindex.go
maxLevelForEdge
func maxLevelForEdge(edge Edge) int { // Compute the maximum cell size for which this edge is considered long. // The calculation does not need to be perfectly accurate, so we use Norm // rather than Angle for speed. cellSize := edge.V0.Sub(edge.V1.Vector).Norm() * cellSizeToLongEdgeRatio // Now return the first level encountered during subdivision where the // average cell size is at most cellSize. return AvgEdgeMetric.MinLevel(cellSize) }
go
func maxLevelForEdge(edge Edge) int { // Compute the maximum cell size for which this edge is considered long. // The calculation does not need to be perfectly accurate, so we use Norm // rather than Angle for speed. cellSize := edge.V0.Sub(edge.V1.Vector).Norm() * cellSizeToLongEdgeRatio // Now return the first level encountered during subdivision where the // average cell size is at most cellSize. return AvgEdgeMetric.MinLevel(cellSize) }
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// maxLevelForEdge reports the maximum level for a given edge.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/shapeindex.go#L1503-L1511
train
golang/geo
s2/edge_crosser.go
NewEdgeCrosser
func NewEdgeCrosser(a, b Point) *EdgeCrosser { norm := a.PointCross(b) return &EdgeCrosser{ a: a, b: b, aXb: Point{a.Cross(b.Vector)}, aTangent: Point{a.Cross(norm.Vector)}, bTangent: Point{norm.Cross(b.Vector)}, } }
go
func NewEdgeCrosser(a, b Point) *EdgeCrosser { norm := a.PointCross(b) return &EdgeCrosser{ a: a, b: b, aXb: Point{a.Cross(b.Vector)}, aTangent: Point{a.Cross(norm.Vector)}, bTangent: Point{norm.Cross(b.Vector)}, } }
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// NewEdgeCrosser returns an EdgeCrosser with the fixed edge AB.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/edge_crosser.go#L56-L65
train
golang/geo
s2/edge_crosser.go
RestartAt
func (e *EdgeCrosser) RestartAt(c Point) { e.c = c e.acb = -triageSign(e.a, e.b, e.c) }
go
func (e *EdgeCrosser) RestartAt(c Point) { e.c = c e.acb = -triageSign(e.a, e.b, e.c) }
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// RestartAt sets the current point of the edge crosser to be c. // Call this method when your chain 'jumps' to a new place. // The argument must point to a value that persists until the next call.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/edge_crosser.go#L120-L123
train
golang/geo
s2/edge_crosser.go
crossingSign
func (e *EdgeCrosser) crossingSign(d Point, bda Direction) Crossing { // Compute the actual result, and then save the current vertex D as the next // vertex C, and save the orientation of the next triangle ACB (which is // opposite to the current triangle BDA). defer func() { e.c = d e.acb = -bda }() // At this point, a very common situation is that A,B,C,D are four points on // a line such that AB does not overlap CD. (For example, this happens when // a line or curve is sampled finely, or when geometry is constructed by // computing the union of S2CellIds.) Most of the time, we can determine // that AB and CD do not intersect using the two outward-facing // tangents at A and B (parallel to AB) and testing whether AB and CD are on // opposite sides of the plane perpendicular to one of these tangents. This // is moderately expensive but still much cheaper than expensiveSign. // The error in RobustCrossProd is insignificant. The maximum error in // the call to CrossProd (i.e., the maximum norm of the error vector) is // (0.5 + 1/sqrt(3)) * dblEpsilon. The maximum error in each call to // DotProd below is dblEpsilon. (There is also a small relative error // term that is insignificant because we are comparing the result against a // constant that is very close to zero.) maxError := (1.5 + 1/math.Sqrt(3)) * dblEpsilon if (e.c.Dot(e.aTangent.Vector) > maxError && d.Dot(e.aTangent.Vector) > maxError) || (e.c.Dot(e.bTangent.Vector) > maxError && d.Dot(e.bTangent.Vector) > maxError) { return DoNotCross } // Otherwise, eliminate the cases where two vertices from different edges are // equal. (These cases could be handled in the code below, but we would rather // avoid calling ExpensiveSign if possible.) if e.a == e.c || e.a == d || e.b == e.c || e.b == d { return MaybeCross } // Eliminate the cases where an input edge is degenerate. (Note that in // most cases, if CD is degenerate then this method is not even called // because acb and bda have different signs.) if e.a == e.b || e.c == d { return DoNotCross } // Otherwise it's time to break out the big guns. if e.acb == Indeterminate { e.acb = -expensiveSign(e.a, e.b, e.c) } if bda == Indeterminate { bda = expensiveSign(e.a, e.b, d) } if bda != e.acb { return DoNotCross } cbd := -RobustSign(e.c, d, e.b) if cbd != e.acb { return DoNotCross } dac := RobustSign(e.c, d, e.a) if dac != e.acb { return DoNotCross } return Cross }
go
func (e *EdgeCrosser) crossingSign(d Point, bda Direction) Crossing { // Compute the actual result, and then save the current vertex D as the next // vertex C, and save the orientation of the next triangle ACB (which is // opposite to the current triangle BDA). defer func() { e.c = d e.acb = -bda }() // At this point, a very common situation is that A,B,C,D are four points on // a line such that AB does not overlap CD. (For example, this happens when // a line or curve is sampled finely, or when geometry is constructed by // computing the union of S2CellIds.) Most of the time, we can determine // that AB and CD do not intersect using the two outward-facing // tangents at A and B (parallel to AB) and testing whether AB and CD are on // opposite sides of the plane perpendicular to one of these tangents. This // is moderately expensive but still much cheaper than expensiveSign. // The error in RobustCrossProd is insignificant. The maximum error in // the call to CrossProd (i.e., the maximum norm of the error vector) is // (0.5 + 1/sqrt(3)) * dblEpsilon. The maximum error in each call to // DotProd below is dblEpsilon. (There is also a small relative error // term that is insignificant because we are comparing the result against a // constant that is very close to zero.) maxError := (1.5 + 1/math.Sqrt(3)) * dblEpsilon if (e.c.Dot(e.aTangent.Vector) > maxError && d.Dot(e.aTangent.Vector) > maxError) || (e.c.Dot(e.bTangent.Vector) > maxError && d.Dot(e.bTangent.Vector) > maxError) { return DoNotCross } // Otherwise, eliminate the cases where two vertices from different edges are // equal. (These cases could be handled in the code below, but we would rather // avoid calling ExpensiveSign if possible.) if e.a == e.c || e.a == d || e.b == e.c || e.b == d { return MaybeCross } // Eliminate the cases where an input edge is degenerate. (Note that in // most cases, if CD is degenerate then this method is not even called // because acb and bda have different signs.) if e.a == e.b || e.c == d { return DoNotCross } // Otherwise it's time to break out the big guns. if e.acb == Indeterminate { e.acb = -expensiveSign(e.a, e.b, e.c) } if bda == Indeterminate { bda = expensiveSign(e.a, e.b, d) } if bda != e.acb { return DoNotCross } cbd := -RobustSign(e.c, d, e.b) if cbd != e.acb { return DoNotCross } dac := RobustSign(e.c, d, e.a) if dac != e.acb { return DoNotCross } return Cross }
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// crossingSign handle the slow path of CrossingSign.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/edge_crosser.go#L163-L227
train
golang/geo
s2/interleave.go
deinterleaveUint32
func deinterleaveUint32(code uint64) (uint32, uint32) { x := (deinterleaveLookup[code&0x55]) | (deinterleaveLookup[(code>>8)&0x55] << 4) | (deinterleaveLookup[(code>>16)&0x55] << 8) | (deinterleaveLookup[(code>>24)&0x55] << 12) | (deinterleaveLookup[(code>>32)&0x55] << 16) | (deinterleaveLookup[(code>>40)&0x55] << 20) | (deinterleaveLookup[(code>>48)&0x55] << 24) | (deinterleaveLookup[(code>>56)&0x55] << 28) y := (deinterleaveLookup[code&0xaa]) | (deinterleaveLookup[(code>>8)&0xaa] << 4) | (deinterleaveLookup[(code>>16)&0xaa] << 8) | (deinterleaveLookup[(code>>24)&0xaa] << 12) | (deinterleaveLookup[(code>>32)&0xaa] << 16) | (deinterleaveLookup[(code>>40)&0xaa] << 20) | (deinterleaveLookup[(code>>48)&0xaa] << 24) | (deinterleaveLookup[(code>>56)&0xaa] << 28) return x, y }
go
func deinterleaveUint32(code uint64) (uint32, uint32) { x := (deinterleaveLookup[code&0x55]) | (deinterleaveLookup[(code>>8)&0x55] << 4) | (deinterleaveLookup[(code>>16)&0x55] << 8) | (deinterleaveLookup[(code>>24)&0x55] << 12) | (deinterleaveLookup[(code>>32)&0x55] << 16) | (deinterleaveLookup[(code>>40)&0x55] << 20) | (deinterleaveLookup[(code>>48)&0x55] << 24) | (deinterleaveLookup[(code>>56)&0x55] << 28) y := (deinterleaveLookup[code&0xaa]) | (deinterleaveLookup[(code>>8)&0xaa] << 4) | (deinterleaveLookup[(code>>16)&0xaa] << 8) | (deinterleaveLookup[(code>>24)&0xaa] << 12) | (deinterleaveLookup[(code>>32)&0xaa] << 16) | (deinterleaveLookup[(code>>40)&0xaa] << 20) | (deinterleaveLookup[(code>>48)&0xaa] << 24) | (deinterleaveLookup[(code>>56)&0xaa] << 28) return x, y }
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// deinterleaveUint32 decodes the interleaved values.
[ "deinterleaveUint32", "decodes", "the", "interleaved", "values", "." ]
476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/interleave.go#L71-L89
train
golang/geo
s2/interleave.go
interleaveUint32
func interleaveUint32(x, y uint32) uint64 { return (interleaveLookup[x&0xff]) | (interleaveLookup[(x>>8)&0xff] << 16) | (interleaveLookup[(x>>16)&0xff] << 32) | (interleaveLookup[x>>24] << 48) | (interleaveLookup[y&0xff] << 1) | (interleaveLookup[(y>>8)&0xff] << 17) | (interleaveLookup[(y>>16)&0xff] << 33) | (interleaveLookup[y>>24] << 49) }
go
func interleaveUint32(x, y uint32) uint64 { return (interleaveLookup[x&0xff]) | (interleaveLookup[(x>>8)&0xff] << 16) | (interleaveLookup[(x>>16)&0xff] << 32) | (interleaveLookup[x>>24] << 48) | (interleaveLookup[y&0xff] << 1) | (interleaveLookup[(y>>8)&0xff] << 17) | (interleaveLookup[(y>>16)&0xff] << 33) | (interleaveLookup[y>>24] << 49) }
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// interleaveUint32 interleaves the given arguments into the return value. // // The 0-bit in val0 will be the 0-bit in the return value. // The 0-bit in val1 will be the 1-bit in the return value. // The 1-bit of val0 will be the 2-bit in the return value, and so on.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/interleave.go#L134-L143
train
golang/geo
s2/paddedcell.go
PaddedCellFromCellID
func PaddedCellFromCellID(id CellID, padding float64) *PaddedCell { p := &PaddedCell{ id: id, padding: padding, middle: r2.EmptyRect(), } // Fast path for constructing a top-level face (the most common case). if id.isFace() { limit := padding + 1 p.bound = r2.Rect{r1.Interval{-limit, limit}, r1.Interval{-limit, limit}} p.middle = r2.Rect{r1.Interval{-padding, padding}, r1.Interval{-padding, padding}} p.orientation = id.Face() & 1 return p } _, p.iLo, p.jLo, p.orientation = id.faceIJOrientation() p.level = id.Level() p.bound = ijLevelToBoundUV(p.iLo, p.jLo, p.level).ExpandedByMargin(padding) ijSize := sizeIJ(p.level) p.iLo &= -ijSize p.jLo &= -ijSize return p }
go
func PaddedCellFromCellID(id CellID, padding float64) *PaddedCell { p := &PaddedCell{ id: id, padding: padding, middle: r2.EmptyRect(), } // Fast path for constructing a top-level face (the most common case). if id.isFace() { limit := padding + 1 p.bound = r2.Rect{r1.Interval{-limit, limit}, r1.Interval{-limit, limit}} p.middle = r2.Rect{r1.Interval{-padding, padding}, r1.Interval{-padding, padding}} p.orientation = id.Face() & 1 return p } _, p.iLo, p.jLo, p.orientation = id.faceIJOrientation() p.level = id.Level() p.bound = ijLevelToBoundUV(p.iLo, p.jLo, p.level).ExpandedByMargin(padding) ijSize := sizeIJ(p.level) p.iLo &= -ijSize p.jLo &= -ijSize return p }
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// PaddedCellFromCellID constructs a padded cell with the given padding.
[ "PaddedCellFromCellID", "constructs", "a", "padded", "cell", "with", "the", "given", "padding", "." ]
476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/paddedcell.go#L37-L61
train
golang/geo
s2/paddedcell.go
Center
func (p PaddedCell) Center() Point { ijSize := sizeIJ(p.level) si := uint32(2*p.iLo + ijSize) ti := uint32(2*p.jLo + ijSize) return Point{faceSiTiToXYZ(p.id.Face(), si, ti).Normalize()} }
go
func (p PaddedCell) Center() Point { ijSize := sizeIJ(p.level) si := uint32(2*p.iLo + ijSize) ti := uint32(2*p.jLo + ijSize) return Point{faceSiTiToXYZ(p.id.Face(), si, ti).Normalize()} }
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// Center returns the center of this cell.
[ "Center", "returns", "the", "center", "of", "this", "cell", "." ]
476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/paddedcell.go#L117-L122
train
golang/geo
s2/paddedcell.go
EntryVertex
func (p PaddedCell) EntryVertex() Point { // The curve enters at the (0,0) vertex unless the axis directions are // reversed, in which case it enters at the (1,1) vertex. i := p.iLo j := p.jLo if p.orientation&invertMask != 0 { ijSize := sizeIJ(p.level) i += ijSize j += ijSize } return Point{faceSiTiToXYZ(p.id.Face(), uint32(2*i), uint32(2*j)).Normalize()} }
go
func (p PaddedCell) EntryVertex() Point { // The curve enters at the (0,0) vertex unless the axis directions are // reversed, in which case it enters at the (1,1) vertex. i := p.iLo j := p.jLo if p.orientation&invertMask != 0 { ijSize := sizeIJ(p.level) i += ijSize j += ijSize } return Point{faceSiTiToXYZ(p.id.Face(), uint32(2*i), uint32(2*j)).Normalize()} }
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// EntryVertex return the vertex where the space-filling curve enters this cell.
[ "EntryVertex", "return", "the", "vertex", "where", "the", "space", "-", "filling", "curve", "enters", "this", "cell", "." ]
476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/paddedcell.go#L155-L166
train
golang/geo
s2/paddedcell.go
ShrinkToFit
func (p *PaddedCell) ShrinkToFit(rect r2.Rect) CellID { // Quick rejection test: if rect contains the center of this cell along // either axis, then no further shrinking is possible. if p.level == 0 { // Fast path (most calls to this function start with a face cell). if rect.X.Contains(0) || rect.Y.Contains(0) { return p.id } } ijSize := sizeIJ(p.level) if rect.X.Contains(stToUV(siTiToST(uint32(2*p.iLo+ijSize)))) || rect.Y.Contains(stToUV(siTiToST(uint32(2*p.jLo+ijSize)))) { return p.id } // Otherwise we expand rect by the given padding on all sides and find // the range of coordinates that it spans along the i- and j-axes. We then // compute the highest bit position at which the min and max coordinates // differ. This corresponds to the first cell level at which at least two // children intersect rect. // Increase the padding to compensate for the error in uvToST. // (The constant below is a provable upper bound on the additional error.) padded := rect.ExpandedByMargin(p.padding + 1.5*dblEpsilon) iMin, jMin := p.iLo, p.jLo // Min i- or j- coordinate spanned by padded var iXor, jXor int // XOR of the min and max i- or j-coordinates if iMin < stToIJ(uvToST(padded.X.Lo)) { iMin = stToIJ(uvToST(padded.X.Lo)) } if a, b := p.iLo+ijSize-1, stToIJ(uvToST(padded.X.Hi)); a <= b { iXor = iMin ^ a } else { iXor = iMin ^ b } if jMin < stToIJ(uvToST(padded.Y.Lo)) { jMin = stToIJ(uvToST(padded.Y.Lo)) } if a, b := p.jLo+ijSize-1, stToIJ(uvToST(padded.Y.Hi)); a <= b { jXor = jMin ^ a } else { jXor = jMin ^ b } // Compute the highest bit position where the two i- or j-endpoints differ, // and then choose the cell level that includes both of these endpoints. So // if both pairs of endpoints are equal we choose maxLevel; if they differ // only at bit 0, we choose (maxLevel - 1), and so on. levelMSB := uint64(((iXor | jXor) << 1) + 1) level := maxLevel - int(findMSBSetNonZero64(levelMSB)) if level <= p.level { return p.id } return cellIDFromFaceIJ(p.id.Face(), iMin, jMin).Parent(level) }
go
func (p *PaddedCell) ShrinkToFit(rect r2.Rect) CellID { // Quick rejection test: if rect contains the center of this cell along // either axis, then no further shrinking is possible. if p.level == 0 { // Fast path (most calls to this function start with a face cell). if rect.X.Contains(0) || rect.Y.Contains(0) { return p.id } } ijSize := sizeIJ(p.level) if rect.X.Contains(stToUV(siTiToST(uint32(2*p.iLo+ijSize)))) || rect.Y.Contains(stToUV(siTiToST(uint32(2*p.jLo+ijSize)))) { return p.id } // Otherwise we expand rect by the given padding on all sides and find // the range of coordinates that it spans along the i- and j-axes. We then // compute the highest bit position at which the min and max coordinates // differ. This corresponds to the first cell level at which at least two // children intersect rect. // Increase the padding to compensate for the error in uvToST. // (The constant below is a provable upper bound on the additional error.) padded := rect.ExpandedByMargin(p.padding + 1.5*dblEpsilon) iMin, jMin := p.iLo, p.jLo // Min i- or j- coordinate spanned by padded var iXor, jXor int // XOR of the min and max i- or j-coordinates if iMin < stToIJ(uvToST(padded.X.Lo)) { iMin = stToIJ(uvToST(padded.X.Lo)) } if a, b := p.iLo+ijSize-1, stToIJ(uvToST(padded.X.Hi)); a <= b { iXor = iMin ^ a } else { iXor = iMin ^ b } if jMin < stToIJ(uvToST(padded.Y.Lo)) { jMin = stToIJ(uvToST(padded.Y.Lo)) } if a, b := p.jLo+ijSize-1, stToIJ(uvToST(padded.Y.Hi)); a <= b { jXor = jMin ^ a } else { jXor = jMin ^ b } // Compute the highest bit position where the two i- or j-endpoints differ, // and then choose the cell level that includes both of these endpoints. So // if both pairs of endpoints are equal we choose maxLevel; if they differ // only at bit 0, we choose (maxLevel - 1), and so on. levelMSB := uint64(((iXor | jXor) << 1) + 1) level := maxLevel - int(findMSBSetNonZero64(levelMSB)) if level <= p.level { return p.id } return cellIDFromFaceIJ(p.id.Face(), iMin, jMin).Parent(level) }
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// ShrinkToFit returns the smallest CellID that contains all descendants of this // padded cell whose bounds intersect the given rect. For algorithms that use // recursive subdivision to find the cells that intersect a particular object, this // method can be used to skip all of the initial subdivision steps where only // one child needs to be expanded. // // Note that this method is not the same as returning the smallest cell that contains // the intersection of this cell with rect. Because of the padding, even if one child // completely contains rect it is still possible that a neighboring child may also // intersect the given rect. // // The provided Rect must intersect the bounds of this cell.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/paddedcell.go#L195-L252
train
golang/geo
r3/precisevector.go
precStr
func precStr(s string) *big.Float { // Explicitly ignoring the bool return for this usage. f, _ := new(big.Float).SetPrec(prec).SetString(s) return f }
go
func precStr(s string) *big.Float { // Explicitly ignoring the bool return for this usage. f, _ := new(big.Float).SetPrec(prec).SetString(s) return f }
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// precStr wraps the conversion from a string into a big.Float. For results that // actually can be represented exactly, this should only be used on values that // are integer multiples of integer powers of 2.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r3/precisevector.go#L38-L42
train
golang/geo
r3/precisevector.go
PreciseVectorFromVector
func PreciseVectorFromVector(v Vector) PreciseVector { return NewPreciseVector(v.X, v.Y, v.Z) }
go
func PreciseVectorFromVector(v Vector) PreciseVector { return NewPreciseVector(v.X, v.Y, v.Z) }
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// PreciseVectorFromVector creates a high precision vector from the given Vector.
[ "PreciseVectorFromVector", "creates", "a", "high", "precision", "vector", "from", "the", "given", "Vector", "." ]
476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r3/precisevector.go#L74-L76
train
golang/geo
r3/precisevector.go
NewPreciseVector
func NewPreciseVector(x, y, z float64) PreciseVector { return PreciseVector{ X: precFloat(x), Y: precFloat(y), Z: precFloat(z), } }
go
func NewPreciseVector(x, y, z float64) PreciseVector { return PreciseVector{ X: precFloat(x), Y: precFloat(y), Z: precFloat(z), } }
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// NewPreciseVector creates a high precision vector from the given floating point values.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r3/precisevector.go#L79-L85
train
golang/geo
r3/precisevector.go
Vector
func (v PreciseVector) Vector() Vector { // The accuracy flag is ignored on these conversions back to float64. x, _ := v.X.Float64() y, _ := v.Y.Float64() z, _ := v.Z.Float64() return Vector{x, y, z}.Normalize() }
go
func (v PreciseVector) Vector() Vector { // The accuracy flag is ignored on these conversions back to float64. x, _ := v.X.Float64() y, _ := v.Y.Float64() z, _ := v.Z.Float64() return Vector{x, y, z}.Normalize() }
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// Vector returns this precise vector converted to a Vector.
[ "Vector", "returns", "this", "precise", "vector", "converted", "to", "a", "Vector", "." ]
476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r3/precisevector.go#L88-L94
train
golang/geo
r3/precisevector.go
Equal
func (v PreciseVector) Equal(ov PreciseVector) bool { return v.X.Cmp(ov.X) == 0 && v.Y.Cmp(ov.Y) == 0 && v.Z.Cmp(ov.Z) == 0 }
go
func (v PreciseVector) Equal(ov PreciseVector) bool { return v.X.Cmp(ov.X) == 0 && v.Y.Cmp(ov.Y) == 0 && v.Z.Cmp(ov.Z) == 0 }
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// Equal reports whether v and ov are equal.
[ "Equal", "reports", "whether", "v", "and", "ov", "are", "equal", "." ]
476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r3/precisevector.go#L97-L99
train
golang/geo
r3/precisevector.go
Abs
func (v PreciseVector) Abs() PreciseVector { return PreciseVector{ X: new(big.Float).Abs(v.X), Y: new(big.Float).Abs(v.Y), Z: new(big.Float).Abs(v.Z), } }
go
func (v PreciseVector) Abs() PreciseVector { return PreciseVector{ X: new(big.Float).Abs(v.X), Y: new(big.Float).Abs(v.Y), Z: new(big.Float).Abs(v.Z), } }
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// Abs returns the vector with nonnegative components.
[ "Abs", "returns", "the", "vector", "with", "nonnegative", "components", "." ]
476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r3/precisevector.go#L114-L120
train
golang/geo
r3/precisevector.go
Add
func (v PreciseVector) Add(ov PreciseVector) PreciseVector { return PreciseVector{ X: precAdd(v.X, ov.X), Y: precAdd(v.Y, ov.Y), Z: precAdd(v.Z, ov.Z), } }
go
func (v PreciseVector) Add(ov PreciseVector) PreciseVector { return PreciseVector{ X: precAdd(v.X, ov.X), Y: precAdd(v.Y, ov.Y), Z: precAdd(v.Z, ov.Z), } }
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// Add returns the standard vector sum of v and ov.
[ "Add", "returns", "the", "standard", "vector", "sum", "of", "v", "and", "ov", "." ]
476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r3/precisevector.go#L123-L129
train
golang/geo
r3/precisevector.go
Sub
func (v PreciseVector) Sub(ov PreciseVector) PreciseVector { return PreciseVector{ X: precSub(v.X, ov.X), Y: precSub(v.Y, ov.Y), Z: precSub(v.Z, ov.Z), } }
go
func (v PreciseVector) Sub(ov PreciseVector) PreciseVector { return PreciseVector{ X: precSub(v.X, ov.X), Y: precSub(v.Y, ov.Y), Z: precSub(v.Z, ov.Z), } }
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// Sub returns the standard vector difference of v and ov.
[ "Sub", "returns", "the", "standard", "vector", "difference", "of", "v", "and", "ov", "." ]
476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r3/precisevector.go#L132-L138
train
golang/geo
r3/precisevector.go
Mul
func (v PreciseVector) Mul(f *big.Float) PreciseVector { return PreciseVector{ X: precMul(v.X, f), Y: precMul(v.Y, f), Z: precMul(v.Z, f), } }
go
func (v PreciseVector) Mul(f *big.Float) PreciseVector { return PreciseVector{ X: precMul(v.X, f), Y: precMul(v.Y, f), Z: precMul(v.Z, f), } }
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// Mul returns the standard scalar product of v and f.
[ "Mul", "returns", "the", "standard", "scalar", "product", "of", "v", "and", "f", "." ]
476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r3/precisevector.go#L141-L147
train
golang/geo
r3/precisevector.go
MulByFloat64
func (v PreciseVector) MulByFloat64(f float64) PreciseVector { return v.Mul(precFloat(f)) }
go
func (v PreciseVector) MulByFloat64(f float64) PreciseVector { return v.Mul(precFloat(f)) }
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// MulByFloat64 returns the standard scalar product of v and f.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r3/precisevector.go#L150-L152
train
golang/geo
r3/precisevector.go
Dot
func (v PreciseVector) Dot(ov PreciseVector) *big.Float { return precAdd(precMul(v.X, ov.X), precAdd(precMul(v.Y, ov.Y), precMul(v.Z, ov.Z))) }
go
func (v PreciseVector) Dot(ov PreciseVector) *big.Float { return precAdd(precMul(v.X, ov.X), precAdd(precMul(v.Y, ov.Y), precMul(v.Z, ov.Z))) }
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// Dot returns the standard dot product of v and ov.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r3/precisevector.go#L155-L157
train
golang/geo
s2/matrix3x3.go
col
func (m *matrix3x3) col(col int) Point { return Point{r3.Vector{m[0][col], m[1][col], m[2][col]}} }
go
func (m *matrix3x3) col(col int) Point { return Point{r3.Vector{m[0][col], m[1][col], m[2][col]}} }
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// col returns the given column as a Point.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/matrix3x3.go#L29-L31
train
golang/geo
s2/matrix3x3.go
row
func (m *matrix3x3) row(row int) Point { return Point{r3.Vector{m[row][0], m[row][1], m[row][2]}} }
go
func (m *matrix3x3) row(row int) Point { return Point{r3.Vector{m[row][0], m[row][1], m[row][2]}} }
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// row returns the given row as a Point.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/matrix3x3.go#L34-L36
train
golang/geo
s2/matrix3x3.go
setCol
func (m *matrix3x3) setCol(col int, p Point) *matrix3x3 { m[0][col] = p.X m[1][col] = p.Y m[2][col] = p.Z return m }
go
func (m *matrix3x3) setCol(col int, p Point) *matrix3x3 { m[0][col] = p.X m[1][col] = p.Y m[2][col] = p.Z return m }
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// setCol sets the specified column to the value in the given Point.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/matrix3x3.go#L39-L45
train
golang/geo
s2/matrix3x3.go
setRow
func (m *matrix3x3) setRow(row int, p Point) *matrix3x3 { m[row][0] = p.X m[row][1] = p.Y m[row][2] = p.Z return m }
go
func (m *matrix3x3) setRow(row int, p Point) *matrix3x3 { m[row][0] = p.X m[row][1] = p.Y m[row][2] = p.Z return m }
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// setRow sets the specified row to the value in the given Point.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/matrix3x3.go#L48-L54
train
golang/geo
s2/matrix3x3.go
scale
func (m *matrix3x3) scale(f float64) *matrix3x3 { return &matrix3x3{ [3]float64{f * m[0][0], f * m[0][1], f * m[0][2]}, [3]float64{f * m[1][0], f * m[1][1], f * m[1][2]}, [3]float64{f * m[2][0], f * m[2][1], f * m[2][2]}, } }
go
func (m *matrix3x3) scale(f float64) *matrix3x3 { return &matrix3x3{ [3]float64{f * m[0][0], f * m[0][1], f * m[0][2]}, [3]float64{f * m[1][0], f * m[1][1], f * m[1][2]}, [3]float64{f * m[2][0], f * m[2][1], f * m[2][2]}, } }
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// scale multiplies the matrix by the given value.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/matrix3x3.go#L57-L63
train
golang/geo
s2/matrix3x3.go
mul
func (m *matrix3x3) mul(p Point) Point { return Point{r3.Vector{ m[0][0]*p.X + m[0][1]*p.Y + m[0][2]*p.Z, m[1][0]*p.X + m[1][1]*p.Y + m[1][2]*p.Z, m[2][0]*p.X + m[2][1]*p.Y + m[2][2]*p.Z, }} }
go
func (m *matrix3x3) mul(p Point) Point { return Point{r3.Vector{ m[0][0]*p.X + m[0][1]*p.Y + m[0][2]*p.Z, m[1][0]*p.X + m[1][1]*p.Y + m[1][2]*p.Z, m[2][0]*p.X + m[2][1]*p.Y + m[2][2]*p.Z, }} }
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// mul returns the multiplication of m by the Point p and converts the // resulting 1x3 matrix into a Point.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/matrix3x3.go#L67-L73
train
golang/geo
s2/matrix3x3.go
det
func (m *matrix3x3) det() float64 { // | a b c | // det | d e f | = aei + bfg + cdh - ceg - bdi - afh // | g h i | return m[0][0]*m[1][1]*m[2][2] + m[0][1]*m[1][2]*m[2][0] + m[0][2]*m[1][0]*m[2][1] - m[0][2]*m[1][1]*m[2][0] - m[0][1]*m[1][0]*m[2][2] - m[0][0]*m[1][2]*m[2][1] }
go
func (m *matrix3x3) det() float64 { // | a b c | // det | d e f | = aei + bfg + cdh - ceg - bdi - afh // | g h i | return m[0][0]*m[1][1]*m[2][2] + m[0][1]*m[1][2]*m[2][0] + m[0][2]*m[1][0]*m[2][1] - m[0][2]*m[1][1]*m[2][0] - m[0][1]*m[1][0]*m[2][2] - m[0][0]*m[1][2]*m[2][1] }
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// det returns the determinant of this matrix.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/matrix3x3.go#L76-L82
train
golang/geo
s2/matrix3x3.go
transpose
func (m *matrix3x3) transpose() *matrix3x3 { m[0][1], m[1][0] = m[1][0], m[0][1] m[0][2], m[2][0] = m[2][0], m[0][2] m[1][2], m[2][1] = m[2][1], m[1][2] return m }
go
func (m *matrix3x3) transpose() *matrix3x3 { m[0][1], m[1][0] = m[1][0], m[0][1] m[0][2], m[2][0] = m[2][0], m[0][2] m[1][2], m[2][1] = m[2][1], m[1][2] return m }
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// transpose reflects the matrix along its diagonal and returns the result.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/matrix3x3.go#L85-L91
train
golang/geo
s2/matrix3x3.go
String
func (m *matrix3x3) String() string { return fmt.Sprintf("[ %0.4f %0.4f %0.4f ] [ %0.4f %0.4f %0.4f ] [ %0.4f %0.4f %0.4f ]", m[0][0], m[0][1], m[0][2], m[1][0], m[1][1], m[1][2], m[2][0], m[2][1], m[2][2], ) }
go
func (m *matrix3x3) String() string { return fmt.Sprintf("[ %0.4f %0.4f %0.4f ] [ %0.4f %0.4f %0.4f ] [ %0.4f %0.4f %0.4f ]", m[0][0], m[0][1], m[0][2], m[1][0], m[1][1], m[1][2], m[2][0], m[2][1], m[2][2], ) }
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// String formats the matrix into an easier to read layout.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/matrix3x3.go#L94-L100
train
golang/geo
s2/matrix3x3.go
getFrame
func getFrame(p Point) matrix3x3 { // Given the point p on the unit sphere, extend this into a right-handed // coordinate frame of unit-length column vectors m = (x,y,z). Note that // the vectors (x,y) are an orthonormal frame for the tangent space at point p, // while p itself is an orthonormal frame for the normal space at p. m := matrix3x3{} m.setCol(2, p) m.setCol(1, Point{p.Ortho()}) m.setCol(0, Point{m.col(1).Cross(p.Vector)}) return m }
go
func getFrame(p Point) matrix3x3 { // Given the point p on the unit sphere, extend this into a right-handed // coordinate frame of unit-length column vectors m = (x,y,z). Note that // the vectors (x,y) are an orthonormal frame for the tangent space at point p, // while p itself is an orthonormal frame for the normal space at p. m := matrix3x3{} m.setCol(2, p) m.setCol(1, Point{p.Ortho()}) m.setCol(0, Point{m.col(1).Cross(p.Vector)}) return m }
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// getFrame returns the orthonormal frame for the given point on the unit sphere.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/matrix3x3.go#L103-L113
train
golang/geo
r2/rect.go
Normalize
func (p Point) Normalize() Point { if p.X == 0 && p.Y == 0 { return p } return p.Mul(1 / p.Norm()) }
go
func (p Point) Normalize() Point { if p.X == 0 && p.Y == 0 { return p } return p.Mul(1 / p.Norm()) }
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// Normalize returns a unit point in the same direction as p.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L51-L56
train
golang/geo
r2/rect.go
RectFromPoints
func RectFromPoints(pts ...Point) Rect { // Because the default value on interval is 0,0, we need to manually // define the interval from the first point passed in as our starting // interval, otherwise we end up with the case of passing in // Point{0.2, 0.3} and getting the starting Rect of {0, 0.2}, {0, 0.3} // instead of the Rect {0.2, 0.2}, {0.3, 0.3} which is not correct. if len(pts) == 0 { return Rect{} } r := Rect{ X: r1.Interval{Lo: pts[0].X, Hi: pts[0].X}, Y: r1.Interval{Lo: pts[0].Y, Hi: pts[0].Y}, } for _, p := range pts[1:] { r = r.AddPoint(p) } return r }
go
func RectFromPoints(pts ...Point) Rect { // Because the default value on interval is 0,0, we need to manually // define the interval from the first point passed in as our starting // interval, otherwise we end up with the case of passing in // Point{0.2, 0.3} and getting the starting Rect of {0, 0.2}, {0, 0.3} // instead of the Rect {0.2, 0.2}, {0.3, 0.3} which is not correct. if len(pts) == 0 { return Rect{} } r := Rect{ X: r1.Interval{Lo: pts[0].X, Hi: pts[0].X}, Y: r1.Interval{Lo: pts[0].Y, Hi: pts[0].Y}, } for _, p := range pts[1:] { r = r.AddPoint(p) } return r }
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// RectFromPoints constructs a rect that contains the given points.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L66-L85
train
golang/geo
r2/rect.go
RectFromCenterSize
func RectFromCenterSize(center, size Point) Rect { return Rect{ r1.Interval{Lo: center.X - size.X/2, Hi: center.X + size.X/2}, r1.Interval{Lo: center.Y - size.Y/2, Hi: center.Y + size.Y/2}, } }
go
func RectFromCenterSize(center, size Point) Rect { return Rect{ r1.Interval{Lo: center.X - size.X/2, Hi: center.X + size.X/2}, r1.Interval{Lo: center.Y - size.Y/2, Hi: center.Y + size.Y/2}, } }
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// RectFromCenterSize constructs a rectangle with the given center and size. // Both dimensions of size must be non-negative.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L89-L94
train
golang/geo
r2/rect.go
IsValid
func (r Rect) IsValid() bool { return r.X.IsEmpty() == r.Y.IsEmpty() }
go
func (r Rect) IsValid() bool { return r.X.IsEmpty() == r.Y.IsEmpty() }
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// IsValid reports whether the rectangle is valid. // This requires the width to be empty iff the height is empty.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L105-L107
train
golang/geo
r2/rect.go
Vertices
func (r Rect) Vertices() [4]Point { return [4]Point{ {r.X.Lo, r.Y.Lo}, {r.X.Hi, r.Y.Lo}, {r.X.Hi, r.Y.Hi}, {r.X.Lo, r.Y.Hi}, } }
go
func (r Rect) Vertices() [4]Point { return [4]Point{ {r.X.Lo, r.Y.Lo}, {r.X.Hi, r.Y.Lo}, {r.X.Hi, r.Y.Hi}, {r.X.Lo, r.Y.Hi}, } }
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// Vertices returns all four vertices of the rectangle. Vertices are returned in // CCW direction starting with the lower left corner.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L116-L123
train
golang/geo
r2/rect.go
Lo
func (r Rect) Lo() Point { return Point{r.X.Lo, r.Y.Lo} }
go
func (r Rect) Lo() Point { return Point{r.X.Lo, r.Y.Lo} }
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// Lo returns the low corner of the rect.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L140-L142
train
golang/geo
r2/rect.go
Hi
func (r Rect) Hi() Point { return Point{r.X.Hi, r.Y.Hi} }
go
func (r Rect) Hi() Point { return Point{r.X.Hi, r.Y.Hi} }
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// Hi returns the high corner of the rect.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L145-L147
train
golang/geo
r2/rect.go
ContainsPoint
func (r Rect) ContainsPoint(p Point) bool { return r.X.Contains(p.X) && r.Y.Contains(p.Y) }
go
func (r Rect) ContainsPoint(p Point) bool { return r.X.Contains(p.X) && r.Y.Contains(p.Y) }
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// ContainsPoint reports whether the rectangle contains the given point. // Rectangles are closed regions, i.e. they contain their boundary.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L162-L164
train
golang/geo
r2/rect.go
Contains
func (r Rect) Contains(other Rect) bool { return r.X.ContainsInterval(other.X) && r.Y.ContainsInterval(other.Y) }
go
func (r Rect) Contains(other Rect) bool { return r.X.ContainsInterval(other.X) && r.Y.ContainsInterval(other.Y) }
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// Contains reports whether the rectangle contains the given rectangle.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L173-L175
train
golang/geo
r2/rect.go
Intersects
func (r Rect) Intersects(other Rect) bool { return r.X.Intersects(other.X) && r.Y.Intersects(other.Y) }
go
func (r Rect) Intersects(other Rect) bool { return r.X.Intersects(other.X) && r.Y.Intersects(other.Y) }
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// Intersects reports whether this rectangle and the other rectangle have any points in common.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L184-L186
train
golang/geo
r2/rect.go
AddPoint
func (r Rect) AddPoint(p Point) Rect { return Rect{r.X.AddPoint(p.X), r.Y.AddPoint(p.Y)} }
go
func (r Rect) AddPoint(p Point) Rect { return Rect{r.X.AddPoint(p.X), r.Y.AddPoint(p.Y)} }
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// AddPoint expands the rectangle to include the given point. The rectangle is // expanded by the minimum amount possible.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L196-L198
train
golang/geo
r2/rect.go
ClampPoint
func (r Rect) ClampPoint(p Point) Point { return Point{r.X.ClampPoint(p.X), r.Y.ClampPoint(p.Y)} }
go
func (r Rect) ClampPoint(p Point) Point { return Point{r.X.ClampPoint(p.X), r.Y.ClampPoint(p.Y)} }
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// ClampPoint returns the closest point in the rectangle to the given point. // The rectangle must be non-empty.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L209-L211
train
golang/geo
r2/rect.go
Expanded
func (r Rect) Expanded(margin Point) Rect { xx := r.X.Expanded(margin.X) yy := r.Y.Expanded(margin.Y) if xx.IsEmpty() || yy.IsEmpty() { return EmptyRect() } return Rect{xx, yy} }
go
func (r Rect) Expanded(margin Point) Rect { xx := r.X.Expanded(margin.X) yy := r.Y.Expanded(margin.Y) if xx.IsEmpty() || yy.IsEmpty() { return EmptyRect() } return Rect{xx, yy} }
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// Expanded returns a rectangle that has been expanded in the x-direction // by margin.X, and in y-direction by margin.Y. If either margin is empty, // then shrink the interval on the corresponding sides instead. The resulting // rectangle may be empty. Any expansion of an empty rectangle remains empty.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L217-L224
train
golang/geo
r2/rect.go
ExpandedByMargin
func (r Rect) ExpandedByMargin(margin float64) Rect { return r.Expanded(Point{margin, margin}) }
go
func (r Rect) ExpandedByMargin(margin float64) Rect { return r.Expanded(Point{margin, margin}) }
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// ExpandedByMargin returns a Rect that has been expanded by the amount on all sides.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L227-L229
train
golang/geo
r2/rect.go
Union
func (r Rect) Union(other Rect) Rect { return Rect{r.X.Union(other.X), r.Y.Union(other.Y)} }
go
func (r Rect) Union(other Rect) Rect { return Rect{r.X.Union(other.X), r.Y.Union(other.Y)} }
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// Union returns the smallest rectangle containing the union of this rectangle and // the given rectangle.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L233-L235
train
golang/geo
r2/rect.go
Intersection
func (r Rect) Intersection(other Rect) Rect { xx := r.X.Intersection(other.X) yy := r.Y.Intersection(other.Y) if xx.IsEmpty() || yy.IsEmpty() { return EmptyRect() } return Rect{xx, yy} }
go
func (r Rect) Intersection(other Rect) Rect { xx := r.X.Intersection(other.X) yy := r.Y.Intersection(other.Y) if xx.IsEmpty() || yy.IsEmpty() { return EmptyRect() } return Rect{xx, yy} }
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// Intersection returns the smallest rectangle containing the intersection of this // rectangle and the given rectangle.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/r2/rect.go#L239-L247
train
golang/geo
s2/edge_tessellator.go
NewEdgeTessellator
func NewEdgeTessellator(p Projection, tolerance s1.Angle) *EdgeTessellator { return &EdgeTessellator{ projection: p, tolerance: s1.ChordAngleFromAngle(maxAngle(tolerance, MinTessellationTolerance)), wrapDistance: p.WrapDistance(), } }
go
func NewEdgeTessellator(p Projection, tolerance s1.Angle) *EdgeTessellator { return &EdgeTessellator{ projection: p, tolerance: s1.ChordAngleFromAngle(maxAngle(tolerance, MinTessellationTolerance)), wrapDistance: p.WrapDistance(), } }
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// NewEdgeTessellator creates a new edge tessellator for the given projection and tolerance.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/edge_tessellator.go#L50-L56
train
golang/geo
s2/edge_tessellator.go
appendUnprojected
func (e *EdgeTessellator) appendUnprojected(pa r2.Point, a Point, pb r2.Point, b Point, vertices []Point) []Point { pmid := e.projection.Interpolate(0.5, pa, pb) mid := e.projection.Unproject(pmid) testMid := Point{a.Add(b.Vector).Normalize()} if ChordAngleBetweenPoints(mid, testMid) < e.tolerance { return append(vertices, b) } vertices = e.appendUnprojected(pa, a, pmid, mid, vertices) return e.appendUnprojected(pmid, mid, pb, b, vertices) }
go
func (e *EdgeTessellator) appendUnprojected(pa r2.Point, a Point, pb r2.Point, b Point, vertices []Point) []Point { pmid := e.projection.Interpolate(0.5, pa, pb) mid := e.projection.Unproject(pmid) testMid := Point{a.Add(b.Vector).Normalize()} if ChordAngleBetweenPoints(mid, testMid) < e.tolerance { return append(vertices, b) } vertices = e.appendUnprojected(pa, a, pmid, mid, vertices) return e.appendUnprojected(pmid, mid, pb, b, vertices) }
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// appendUnprojected interpolates a projected edge and appends the corresponding // points on the sphere.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/edge_tessellator.go#L141-L152
train
golang/geo
s2/edge_tessellator.go
wrapDestination
func (e *EdgeTessellator) wrapDestination(pa, pb r2.Point) r2.Point { x := pb.X y := pb.Y // The code below ensures that pb is unmodified unless wrapping is required. if e.wrapDistance.X > 0 && math.Abs(x-pa.X) > 0.5*e.wrapDistance.X { x = pa.X + math.Remainder(x-pa.X, e.wrapDistance.X) } if e.wrapDistance.Y > 0 && math.Abs(y-pa.Y) > 0.5*e.wrapDistance.Y { y = pa.Y + math.Remainder(y-pa.Y, e.wrapDistance.Y) } return r2.Point{x, y} }
go
func (e *EdgeTessellator) wrapDestination(pa, pb r2.Point) r2.Point { x := pb.X y := pb.Y // The code below ensures that pb is unmodified unless wrapping is required. if e.wrapDistance.X > 0 && math.Abs(x-pa.X) > 0.5*e.wrapDistance.X { x = pa.X + math.Remainder(x-pa.X, e.wrapDistance.X) } if e.wrapDistance.Y > 0 && math.Abs(y-pa.Y) > 0.5*e.wrapDistance.Y { y = pa.Y + math.Remainder(y-pa.Y, e.wrapDistance.Y) } return r2.Point{x, y} }
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// wrapDestination returns the coordinates of the edge destination wrapped if // necessary to obtain the shortest edge.
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476085157cff9aaeef4d4f124649436542d4114a
https://github.com/golang/geo/blob/476085157cff9aaeef4d4f124649436542d4114a/s2/edge_tessellator.go#L156-L167
train