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examples/raycasting: Refactoring
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d724e17032
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@ -36,6 +36,7 @@ import (
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const (
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screenWidth = 240
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screenHeight = 240
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padding = 20
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)
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var (
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@ -64,16 +65,31 @@ func init() {
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triangleImage.Fill(color.White)
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}
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type Line struct {
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type line struct {
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X1, Y1, X2, Y2 float64
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}
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func (l *Line) angle() float64 {
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func (l *line) angle() float64 {
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return math.Atan2(l.Y2-l.Y1, l.X2-l.X1)
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}
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func newRay(x, y, length, angle float64) Line {
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return Line{
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type object struct {
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walls []line
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}
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func (o object) points() [][2]float64 {
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// Get one of the endpoints for all segments,
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// + the startpoint of the first one, for non-closed paths
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var points [][2]float64
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for _, wall := range o.walls {
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points = append(points, [2]float64{wall.X2, wall.Y2})
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}
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points = append(points, [2]float64{o.walls[0].X1, o.walls[0].Y1})
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return points
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}
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func newRay(x, y, length, angle float64) line {
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return line{
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X1: x,
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Y1: y,
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X2: x + length*math.Cos(angle),
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@ -82,49 +98,40 @@ func newRay(x, y, length, angle float64) Line {
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}
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// intersection calculates the intersection of given two lines.
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func intersection(l1, l2 Line) (float64, float64, error) {
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func intersection(l1, l2 line) (float64, float64, bool) {
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// https://en.wikipedia.org/wiki/Line%E2%80%93line_intersection#Given_two_points_on_each_line
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denom := (l1.X1-l1.X2)*(l2.Y1-l2.Y2) - (l1.Y1-l1.Y2)*(l2.X1-l2.X2)
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tNum := (l1.X1-l2.X1)*(l2.Y1-l2.Y2) - (l1.Y1-l2.Y1)*(l2.X1-l2.X2)
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uNum := -((l1.X1-l1.X2)*(l1.Y1-l2.Y1) - (l1.Y1-l1.Y2)*(l1.X1-l2.X1))
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if denom == 0 {
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return 0, 0, errors.New("lines parallel or coincident")
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return 0, 0, false
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}
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t := tNum / denom
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if t > 1 || t < 0 {
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return 0, 0, errors.New("lines intersect, segments do not")
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return 0, 0, false
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}
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u := uNum / denom
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if u > 1 || u < 0 {
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return 0, 0, errors.New("lines intersect, segments do not")
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return 0, 0, false
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}
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x := l1.X1 + t*(l1.X2-l1.X1)
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y := l1.Y1 + t*(l1.Y2-l1.Y1)
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return x, y, nil
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return x, y, true
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}
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// rayCasting returns a slice of Line originating from point cx, cy and intersecting with objects
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func rayCasting(cx, cy float64, objects [][]Line) []Line {
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var rays []Line
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// rayCasting returns a slice of line originating from point cx, cy and intersecting with objects
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func rayCasting(cx, cy float64, objects []object) []line {
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const rayLength = 1000 // something large enough to reach all objects
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var rays []line
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for _, obj := range objects {
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// Get one of the endpoints for all segments,
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// + the startpoint of the first one, for non-closed paths
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var objPoints [][2]float64
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for _, wall := range obj {
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objPoints = append(objPoints, [2]float64{wall.X2, wall.Y2})
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}
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objPoints = append(objPoints, [2]float64{obj[0].X1, obj[0].Y1})
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// Cast two rays per point
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for _, p := range objPoints {
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l := Line{cx, cy, p[0], p[1]}
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for _, p := range obj.points() {
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l := line{cx, cy, p[0], p[1]}
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angle := l.angle()
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for _, offset := range []float64{-0.005, 0.005} {
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@ -133,8 +140,8 @@ func rayCasting(cx, cy float64, objects [][]Line) []Line {
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// Unpack all objects
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for _, o := range objects {
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for _, wall := range o {
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if px, py, err := intersection(ray, wall); err == nil {
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for _, wall := range o.walls {
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if px, py, ok := intersection(ray, wall); ok {
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points = append(points, [2]float64{px, py})
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}
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}
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@ -142,7 +149,7 @@ func rayCasting(cx, cy float64, objects [][]Line) []Line {
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// Find the point closest to start of ray
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min := math.Inf(1)
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var minI = -1
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minI := -1
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for i, p := range points {
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d2 := (cx-p[0])*(cx-p[0]) + (cy-p[1])*(cy-p[1])
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if d2 < min {
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@ -150,7 +157,7 @@ func rayCasting(cx, cy float64, objects [][]Line) []Line {
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minI = i
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}
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}
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rays = append(rays, Line{cx, cy, points[minI][0], points[minI][1]})
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rays = append(rays, line{cx, cy, points[minI][0], points[minI][1]})
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}
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}
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}
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@ -162,23 +169,6 @@ func rayCasting(cx, cy float64, objects [][]Line) []Line {
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return rays
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}
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func vertices(x1, y1, x2, y2, x3, y3 float64) []ebiten.Vertex {
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return []ebiten.Vertex{
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{float32(x1), float32(y1), 0, 0, 1, 1, 1, 1},
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{float32(x2), float32(y2), 0, 0, 1, 1, 1, 1},
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{float32(x3), float32(y3), 0, 0, 1, 1, 1, 1},
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}
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}
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func rect(x, y, w, h float64) []Line {
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return []Line{
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{x, y, x, y + h},
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{x, y + h, x + w, y + h},
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{x + w, y + h, x + w, y},
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{x + w, y, x, y},
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}
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}
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func handleMovement() {
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if ebiten.IsKeyPressed(ebiten.KeyD) || ebiten.IsKeyPressed(ebiten.KeyRight) {
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px += 4
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@ -214,6 +204,14 @@ func handleMovement() {
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}
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}
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func rayVertices(x1, y1, x2, y2, x3, y3 float64) []ebiten.Vertex {
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return []ebiten.Vertex{
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{float32(x1), float32(y1), 0, 0, 1, 1, 1, 1},
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{float32(x2), float32(y2), 0, 0, 1, 1, 1, 1},
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{float32(x3), float32(y3), 0, 0, 1, 1, 1, 1},
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}
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}
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func update(screen *ebiten.Image) error {
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if inpututil.IsKeyJustPressed(ebiten.KeyEscape) {
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return errors.New("game ended by player")
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@ -231,23 +229,22 @@ func update(screen *ebiten.Image) error {
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// Reset the shadowImage
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shadowImage.Fill(color.Black)
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rays := rayCasting(px, py, objects)
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rays := rayCasting(float64(px), float64(py), objects)
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// Subtract ray triangles from shadow
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opt := &ebiten.DrawTrianglesOptions{}
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opt.Address = ebiten.AddressRepeat
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opt.CompositeMode = ebiten.CompositeModeSourceOut
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for i, line := range rays {
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nextLine := rays[(i+1)%len(rays)]
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// Draw triangle of area between rays
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v := vertices(px, py, nextLine.X2, nextLine.Y2, line.X2, line.Y2)
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v := rayVertices(float64(px), float64(py), nextLine.X2, nextLine.Y2, line.X2, line.Y2)
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shadowImage.DrawTriangles(v, []uint16{0, 1, 2}, triangleImage, opt)
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}
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// Draw background
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screen.DrawImage(bgImage, &ebiten.DrawImageOptions{})
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screen.DrawImage(bgImage, nil)
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if showRays {
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// Draw rays
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@ -262,15 +259,15 @@ func update(screen *ebiten.Image) error {
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screen.DrawImage(shadowImage, op)
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// Draw walls
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for _, wall := range objects {
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for _, w := range wall {
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for _, obj := range objects {
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for _, w := range obj.walls {
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ebitenutil.DrawLine(screen, w.X1, w.Y1, w.X2, w.Y2, color.RGBA{255, 0, 0, 255})
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}
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}
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// Draw player as a rect
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ebitenutil.DrawRect(screen, px-2, py-2, 4, 4, color.Black)
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ebitenutil.DrawRect(screen, px-1, py-1, 2, 2, color.RGBA{255, 100, 100, 255})
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ebitenutil.DrawRect(screen, float64(px)-2, float64(py)-2, 4, 4, color.Black)
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ebitenutil.DrawRect(screen, float64(px)-1, float64(py)-1, 2, 2, color.RGBA{255, 100, 100, 255})
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if showRays {
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ebitenutil.DebugPrintAt(screen, "R: hide rays", padding, 0)
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@ -285,25 +282,32 @@ func update(screen *ebiten.Image) error {
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var (
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showRays bool
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px, py float64
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objects [][]Line
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px, py int
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objects []object
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)
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const padding = 20
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func rect(x, y, w, h float64) []line {
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return []line{
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{x, y, x, y + h},
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{x, y + h, x + w, y + h},
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{x + w, y + h, x + w, y},
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{x + w, y, x, y},
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}
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}
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func main() {
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px = screenWidth / 2
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py = screenHeight / 2
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// Add outer walls
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objects = append(objects, rect(padding, padding, screenWidth-2*padding, screenHeight-2*padding))
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objects = append(objects, object{rect(padding, padding, screenWidth-2*padding, screenHeight-2*padding)})
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// Angled wall
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objects = append(objects, []Line{{50, 110, 100, 150}})
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objects = append(objects, object{[]line{{50, 110, 100, 150}}})
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// Rectangles
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objects = append(objects, rect(45, 50, 70, 20))
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objects = append(objects, rect(150, 50, 30, 60))
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objects = append(objects, object{rect(45, 50, 70, 20)})
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objects = append(objects, object{rect(150, 50, 30, 60)})
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if err := ebiten.Run(update, screenWidth, screenHeight, 2, "Ray casting and shadows (Ebiten demo)"); err != nil {
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log.Fatal(err)
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