DelayNoMore/jsexport/battle/battle.go

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package battle
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import (
"resolv"
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"math"
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)
const (
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MAX_FLOAT64 = 1.7e+308
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COLLISION_PLAYER_INDEX_PREFIX = (1 << 17)
COLLISION_BARRIER_INDEX_PREFIX = (1 << 16)
COLLISION_BULLET_INDEX_PREFIX = (1 << 15)
)
// These directions are chosen such that when speed is changed to "(speedX+delta, speedY+delta)" for any of them, the direction is unchanged.
var DIRECTION_DECODER = [][]int32{
{0, 0},
{0, +2},
{0, -2},
{+2, 0},
{-2, 0},
{+1, +1},
{-1, -1},
{+1, -1},
{-1, +1},
}
const (
ATK_CHARACTER_STATE_IDLE1 = int32(0)
ATK_CHARACTER_STATE_WALKING = int32(1)
ATK_CHARACTER_STATE_ATK1 = int32(2)
ATK_CHARACTER_STATE_ATKED1 = int32(3)
ATK_CHARACTER_STATE_INAIR_IDLE1 = int32(4)
ATK_CHARACTER_STATE_INAIR_ATK1 = int32(5)
ATK_CHARACTER_STATE_INAIR_ATKED1 = int32(6)
)
func ConvertToInputFrameId(renderFrameId int32, inputDelayFrames int32, inputScaleFrames int32) int32 {
if renderFrameId < inputDelayFrames {
return 0
}
return ((renderFrameId - inputDelayFrames) >> inputScaleFrames)
}
func decodeInput(encodedInput uint64) *InputFrameDecoded {
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encodedDirection := (encodedInput & uint64(15))
btnALevel := int32((encodedInput >> 4) & 1)
btnBLevel := int32((encodedInput >> 5) & 1)
return &InputFrameDecoded{
Dx: DIRECTION_DECODER[encodedDirection][0],
Dy: DIRECTION_DECODER[encodedDirection][1],
BtnALevel: btnALevel,
BtnBLevel: btnBLevel,
}
}
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type SatResult struct {
Overlap float64
OverlapX float64
OverlapY float64
AContainedInB bool
BContainedInA bool
Axis resolv.Vector
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}
func CalcPushbacks(oldDx, oldDy float64, playerShape, barrierShape *resolv.ConvexPolygon) (bool, float64, float64, *SatResult) {
origX, origY := playerShape.Position()
defer func() {
playerShape.SetPosition(origX, origY)
}()
playerShape.SetPosition(origX+oldDx, origY+oldDy)
overlapResult := &SatResult{
Overlap: 0,
OverlapX: 0,
OverlapY: 0,
AContainedInB: true,
BContainedInA: true,
Axis: resolv.Vector{0, 0},
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}
if overlapped := isPolygonPairOverlapped(playerShape, barrierShape, overlapResult); overlapped {
pushbackX, pushbackY := overlapResult.Overlap*overlapResult.OverlapX, overlapResult.Overlap*overlapResult.OverlapY
return true, pushbackX, pushbackY, overlapResult
} else {
return false, 0, 0, overlapResult
}
}
func isPolygonPairOverlapped(a, b *resolv.ConvexPolygon, result *SatResult) bool {
aCnt, bCnt := len(a.Points), len(b.Points)
// Single point case
if 1 == aCnt && 1 == bCnt {
if nil != result {
result.Overlap = 0
}
return a.Points[0][0] == b.Points[0][0] && a.Points[0][1] == b.Points[0][1]
}
if 1 < aCnt {
for _, axis := range a.SATAxes() {
if isPolygonPairSeparatedByDir(a, b, axis.Unit(), result) {
return false
}
}
}
if 1 < bCnt {
for _, axis := range b.SATAxes() {
if isPolygonPairSeparatedByDir(a, b, axis.Unit(), result) {
return false
}
}
}
return true
}
func isPolygonPairSeparatedByDir(a, b *resolv.ConvexPolygon, e resolv.Vector, result *SatResult) bool {
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/*
[WARNING] This function is deliberately made private, it shouldn't be used alone (i.e. not along the norms of a polygon), otherwise the pushbacks calculated would be meaningless.
Consider the following example
a: {
anchor: [1337.19 1696.74]
points: [[0 0] [24 0] [24 24] [0 24]]
},
b: {
anchor: [1277.72 1570.56]
points: [[642.57 319.16] [0 319.16] [5.73 0] [643.75 0.90]]
}
e = (-2.98, 1.49).Unit()
*/
var aStart, aEnd, bStart, bEnd float64 = MAX_FLOAT64, -MAX_FLOAT64, MAX_FLOAT64, -MAX_FLOAT64
for _, p := range a.Points {
dot := (p[0]+a.X)*e[0] + (p[1]+a.Y)*e[1]
if aStart > dot {
aStart = dot
}
if aEnd < dot {
aEnd = dot
}
}
for _, p := range b.Points {
dot := (p[0]+b.X)*e[0] + (p[1]+b.Y)*e[1]
if bStart > dot {
bStart = dot
}
if bEnd < dot {
bEnd = dot
}
}
if aStart > bEnd || aEnd < bStart {
// Separated by unit vector "e"
return true
}
if nil != result {
overlap := float64(0)
if aStart < bStart {
result.AContainedInB = false
if aEnd < bEnd {
overlap = aEnd - bStart
result.BContainedInA = false
} else {
option1 := aEnd - bStart
option2 := bEnd - aStart
if option1 < option2 {
overlap = option1
} else {
overlap = -option2
}
}
} else {
result.BContainedInA = false
if aEnd > bEnd {
overlap = aStart - bEnd
result.AContainedInB = false
} else {
option1 := aEnd - bStart
option2 := bEnd - aStart
if option1 < option2 {
overlap = option1
} else {
overlap = -option2
}
}
}
currentOverlap := result.Overlap
absoluteOverlap := overlap
if overlap < 0 {
absoluteOverlap = -overlap
}
if (0 == result.Axis[0] && 0 == result.Axis[1]) || currentOverlap > absoluteOverlap {
var sign float64 = 1
if overlap < 0 {
sign = -1
}
result.Overlap = absoluteOverlap
result.OverlapX = e[0] * sign
result.OverlapY = e[1] * sign
}
result.Axis = e
}
// the specified unit vector "e" doesn't separate "a" and "b", overlap result is generated
return false
}
func WorldToVirtualGridPos(wx, wy, worldToVirtualGridRatio float64) (int32, int32) {
// [WARNING] Introduces loss of precision!
// In JavaScript floating numbers suffer from seemingly non-deterministic arithmetics, and even if certain libs solved this issue by approaches such as fixed-point-number, they might not be used in other libs -- e.g. the "collision libs" we're interested in -- thus couldn't kill all pains.
var virtualGridX int32 = int32(math.Round(wx * worldToVirtualGridRatio))
var virtualGridY int32 = int32(math.Round(wy * worldToVirtualGridRatio))
return virtualGridX, virtualGridY
}
func VirtualGridToWorldPos(vx, vy int32, virtualGridToWorldRatio float64) (float64, float64) {
// No loss of precision
var wx float64 = float64(vx) * virtualGridToWorldRatio
var wy float64 = float64(vy) * virtualGridToWorldRatio
return wx, wy
}
func WorldToPolygonColliderBLPos(wx, wy, halfBoundingW, halfBoundingH, topPadding, bottomPadding, leftPadding, rightPadding, collisionSpaceOffsetX, collisionSpaceOffsetY float64) (float64, float64) {
return wx - halfBoundingW - leftPadding + collisionSpaceOffsetX, wy - halfBoundingH - bottomPadding + collisionSpaceOffsetY
}
func PolygonColliderBLToWorldPos(cx, cy, halfBoundingW, halfBoundingH, topPadding, bottomPadding, leftPadding, rightPadding, collisionSpaceOffsetX, collisionSpaceOffsetY float64) (float64, float64) {
return cx + halfBoundingW + leftPadding - collisionSpaceOffsetX, cy + halfBoundingH + bottomPadding - collisionSpaceOffsetY
}
func PolygonColliderBLToVirtualGridPos(cx, cy, halfBoundingW, halfBoundingH, topPadding, bottomPadding, leftPadding, rightPadding, collisionSpaceOffsetX, collisionSpaceOffsetY float64, worldToVirtualGridRatio float64) (int32, int32) {
wx, wy := PolygonColliderBLToWorldPos(cx, cy, halfBoundingW, halfBoundingH, topPadding, bottomPadding, leftPadding, rightPadding, collisionSpaceOffsetX, collisionSpaceOffsetY)
return WorldToVirtualGridPos(wx, wy, worldToVirtualGridRatio)
}
func VirtualGridToPolygonColliderBLPos(vx, vy int32, halfBoundingW, halfBoundingH, topPadding, bottomPadding, leftPadding, rightPadding, collisionSpaceOffsetX, collisionSpaceOffsetY float64, virtualGridToWorldRatio float64) (float64, float64) {
wx, wy := VirtualGridToWorldPos(vx, vy, virtualGridToWorldRatio)
return WorldToPolygonColliderBLPos(wx, wy, halfBoundingW, halfBoundingH, topPadding, bottomPadding, leftPadding, rightPadding, collisionSpaceOffsetX, collisionSpaceOffsetY)
}
func calcHardPushbacksNorms(playerCollider *resolv.Object, playerShape *resolv.ConvexPolygon, snapIntoPlatformOverlap float64, pEffPushback *Vec2D) []Vec2D {
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ret := make([]Vec2D, 0, 10) // no one would simultaneously have more than 5 hardPushbacks
collision := playerCollider.Check(0, 0)
if nil == collision {
return ret
}
for _, obj := range collision.Objects {
switch obj.Data.(type) {
case *Barrier:
barrierShape := obj.Shape.(*resolv.ConvexPolygon)
overlapped, pushbackX, pushbackY, overlapResult := CalcPushbacks(0, 0, playerShape, barrierShape)
if !overlapped {
continue
}
// ALWAY snap into hardPushbacks!
// [OverlapX, OverlapY] is the unit vector that points into the platform
pushbackX, pushbackY = (overlapResult.Overlap-snapIntoPlatformOverlap)*overlapResult.OverlapX, (overlapResult.Overlap-snapIntoPlatformOverlap)*overlapResult.OverlapY
ret = append(ret, Vec2D{X: overlapResult.OverlapX, Y: overlapResult.OverlapY})
pEffPushback.X += pushbackX
pEffPushback.Y += pushbackY
default:
}
}
return ret
}
// [WARNING] The params of this method is carefully tuned such that only "battle.RoomDownsyncFrame" is a necessary custom struct.
func ApplyInputFrameDownsyncDynamicsOnSingleRenderFrame(delayedInputList, delayedInputListForPrevRenderFrame []uint64, currRenderFrame *RoomDownsyncFrame, collisionSys *resolv.Space, collisionSysMap map[int32]*resolv.Object, gravityX, gravityY, jumpingInitVelY, inputDelayFrames, inputScaleFrames int32, collisionSpaceOffsetX, collisionSpaceOffsetY, snapIntoPlatformOverlap, snapIntoPlatformThreshold, worldToVirtualGridRatio, virtualGridToWorldRatio float64) *RoomDownsyncFrame {
// [WARNING] On backend this function MUST BE called while "InputsBufferLock" is locked!
roomCapacity := len(currRenderFrame.PlayersArr)
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nextRenderFramePlayers := make([]*PlayerDownsync, roomCapacity)
// Make a copy first
for i, currPlayerDownsync := range currRenderFrame.PlayersArr {
nextRenderFramePlayers[i] = &PlayerDownsync{
Id: currPlayerDownsync.Id,
VirtualGridX: currPlayerDownsync.VirtualGridX,
VirtualGridY: currPlayerDownsync.VirtualGridY,
DirX: currPlayerDownsync.DirX,
DirY: currPlayerDownsync.DirY,
VelX: currPlayerDownsync.VelX,
VelY: currPlayerDownsync.VelY,
CharacterState: currPlayerDownsync.CharacterState,
InAir: true,
Speed: currPlayerDownsync.Speed,
BattleState: currPlayerDownsync.BattleState,
Score: currPlayerDownsync.Score,
Removed: currPlayerDownsync.Removed,
JoinIndex: currPlayerDownsync.JoinIndex,
FramesToRecover: currPlayerDownsync.FramesToRecover - 1,
Hp: currPlayerDownsync.Hp,
MaxHp: currPlayerDownsync.MaxHp,
}
if nextRenderFramePlayers[i].FramesToRecover < 0 {
nextRenderFramePlayers[i].FramesToRecover = 0
}
}
effPushbacks := make([]Vec2D, roomCapacity)
hardPushbackNorms := make([][]Vec2D, roomCapacity)
// 1. Process player inputs
if nil != delayedInputList {
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for i, currPlayerDownsync := range currRenderFrame.PlayersArr {
joinIndex := currPlayerDownsync.JoinIndex
thatPlayerInNextFrame := nextRenderFramePlayers[i]
if 0 < thatPlayerInNextFrame.FramesToRecover {
continue
}
decodedInput := decodeInput(delayedInputList[joinIndex-1])
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prevBtnBLevel := int32(0)
if nil != delayedInputListForPrevRenderFrame {
prevDecodedInput := decodeInput(delayedInputListForPrevRenderFrame[joinIndex-1])
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prevBtnBLevel = prevDecodedInput.BtnBLevel
}
if decodedInput.BtnBLevel > prevBtnBLevel {
characStateAlreadyInAir := false
if ATK_CHARACTER_STATE_INAIR_IDLE1 == thatPlayerInNextFrame.CharacterState || ATK_CHARACTER_STATE_INAIR_ATK1 == thatPlayerInNextFrame.CharacterState || ATK_CHARACTER_STATE_INAIR_ATKED1 == thatPlayerInNextFrame.CharacterState {
characStateAlreadyInAir = true
}
characStateIsInterruptWaivable := false
if ATK_CHARACTER_STATE_IDLE1 == thatPlayerInNextFrame.CharacterState || ATK_CHARACTER_STATE_WALKING == thatPlayerInNextFrame.CharacterState || ATK_CHARACTER_STATE_INAIR_IDLE1 == thatPlayerInNextFrame.CharacterState {
characStateIsInterruptWaivable = true
}
if !characStateAlreadyInAir && characStateIsInterruptWaivable {
thatPlayerInNextFrame.VelY = jumpingInitVelY
}
}
// Note that by now "0 == thatPlayerInNextFrame.FramesToRecover", we should change "CharacterState" to "WALKING" or "IDLE" depending on player inputs
if 0 != decodedInput.Dx || 0 != decodedInput.Dy {
thatPlayerInNextFrame.DirX = decodedInput.Dx
thatPlayerInNextFrame.DirY = decodedInput.Dy
thatPlayerInNextFrame.VelX = decodedInput.Dx * currPlayerDownsync.Speed
thatPlayerInNextFrame.CharacterState = ATK_CHARACTER_STATE_WALKING
} else {
thatPlayerInNextFrame.CharacterState = ATK_CHARACTER_STATE_IDLE1
thatPlayerInNextFrame.VelX = 0
}
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}
}
// 2. Process player movement
for i, currPlayerDownsync := range currRenderFrame.PlayersArr {
joinIndex := currPlayerDownsync.JoinIndex
effPushbacks[joinIndex-1].X, effPushbacks[joinIndex-1].Y = float64(0), float64(0)
collisionPlayerIndex := COLLISION_PLAYER_INDEX_PREFIX + joinIndex
playerCollider := collisionSysMap[collisionPlayerIndex]
thatPlayerInNextFrame := nextRenderFramePlayers[i]
// Reset playerCollider position from the "virtual grid position"
newVx, newVy := currPlayerDownsync.VirtualGridX+currPlayerDownsync.VelX, currPlayerDownsync.VirtualGridY+currPlayerDownsync.VelY
if thatPlayerInNextFrame.VelY == jumpingInitVelY {
newVy += thatPlayerInNextFrame.VelY
}
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playerCollider.X, playerCollider.Y = VirtualGridToPolygonColliderBLPos(newVx, newVy, playerCollider.W*0.5, playerCollider.H*0.5, 0, 0, 0, 0, collisionSpaceOffsetX, collisionSpaceOffsetY, virtualGridToWorldRatio)
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// Update in the collision system
playerCollider.Update()
if currPlayerDownsync.InAir {
thatPlayerInNextFrame.VelX += gravityX
thatPlayerInNextFrame.VelY += gravityY
}
}
// 3. Calc pushbacks for each player (after its movement) w/o bullets
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for i, currPlayerDownsync := range currRenderFrame.PlayersArr {
joinIndex := currPlayerDownsync.JoinIndex
collisionPlayerIndex := COLLISION_PLAYER_INDEX_PREFIX + joinIndex
playerCollider := collisionSysMap[collisionPlayerIndex]
playerShape := playerCollider.Shape.(*resolv.ConvexPolygon)
hardPushbackNorms[joinIndex-1] = calcHardPushbacksNorms(playerCollider, playerShape, snapIntoPlatformOverlap, &(effPushbacks[joinIndex-1]))
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thatPlayerInNextFrame := nextRenderFramePlayers[i]
fallStopping := false
if collision := playerCollider.Check(0, 0); nil != collision {
for _, obj := range collision.Objects {
isBarrier, isAnotherPlayer, isBullet := false, false, false
// TODO: Make this part work in JavaScript without having to expose all types Barrier/PlayerDownsync/MeleeBullet by js.MakeWrapper.
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switch obj.Data.(type) {
case *PlayerDownsync:
isAnotherPlayer = true
case *MeleeBullet:
isBullet = true
default:
// By default it's a regular barrier, even if data is nil
isBarrier = true
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}
if isBullet {
// ignore bullets for this step
continue
}
bShape := obj.Shape.(*resolv.ConvexPolygon)
overlapped, pushbackX, pushbackY, overlapResult := CalcPushbacks(0, 0, playerShape, bShape)
if !overlapped {
continue
}
normAlignmentWithGravity := (overlapResult.OverlapX*float64(0) + overlapResult.OverlapY*float64(-1.0))
landedOnGravityPushback := (snapIntoPlatformThreshold < normAlignmentWithGravity) // prevents false snapping on the lateral sides
if landedOnGravityPushback {
// kindly note that one player might land on top of another player, and snapping is also required in such case
pushbackX, pushbackY = (overlapResult.Overlap-snapIntoPlatformOverlap)*overlapResult.OverlapX, (overlapResult.Overlap-snapIntoPlatformOverlap)*overlapResult.OverlapY
thatPlayerInNextFrame.InAir = false
}
if isAnotherPlayer {
// [WARNING] The "zero overlap collision" might be randomly detected/missed on either frontend or backend, to have deterministic result we added paddings to all sides of a playerCollider. As each velocity component of (velX, velY) being a multiple of 0.5 at any renderFrame, each position component of (x, y) can only be a multiple of 0.5 too, thus whenever a 1-dimensional collision happens between players from [player#1: i*0.5, player#2: j*0.5, not collided yet] to [player#1: (i+k)*0.5, player#2: j*0.5, collided], the overlap becomes (i+k-j)*0.5+2*s, and after snapping subtraction the effPushback magnitude for each player is (i+k-j)*0.5, resulting in 0.5-multiples-position for the next renderFrame.
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pushbackX, pushbackY = (overlapResult.Overlap-snapIntoPlatformOverlap*2)*overlapResult.OverlapX, (overlapResult.Overlap-snapIntoPlatformOverlap*2)*overlapResult.OverlapY
}
for _, hardPushbackNorm := range hardPushbackNorms[joinIndex-1] {
projectedMagnitude := pushbackX*hardPushbackNorm.X + pushbackY*hardPushbackNorm.Y
if isBarrier || (isAnotherPlayer && 0 > projectedMagnitude) {
pushbackX -= projectedMagnitude * hardPushbackNorm.X
pushbackY -= projectedMagnitude * hardPushbackNorm.Y
}
}
effPushbacks[joinIndex-1].X += pushbackX
effPushbacks[joinIndex-1].Y += pushbackY
if currPlayerDownsync.InAir && landedOnGravityPushback {
fallStopping = true
}
}
}
if fallStopping {
thatPlayerInNextFrame.VelX = 0
thatPlayerInNextFrame.VelY = 0
thatPlayerInNextFrame.CharacterState = ATK_CHARACTER_STATE_IDLE1
thatPlayerInNextFrame.FramesToRecover = 0
}
if currPlayerDownsync.InAir {
oldNextCharacterState := thatPlayerInNextFrame.CharacterState
switch oldNextCharacterState {
case ATK_CHARACTER_STATE_IDLE1, ATK_CHARACTER_STATE_WALKING:
thatPlayerInNextFrame.CharacterState = ATK_CHARACTER_STATE_INAIR_IDLE1
case ATK_CHARACTER_STATE_ATK1:
thatPlayerInNextFrame.CharacterState = ATK_CHARACTER_STATE_INAIR_ATK1
case ATK_CHARACTER_STATE_ATKED1:
thatPlayerInNextFrame.CharacterState = ATK_CHARACTER_STATE_INAIR_ATKED1
}
}
}
// 4. Get players out of stuck barriers if there's any
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for i, currPlayerDownsync := range currRenderFrame.PlayersArr {
joinIndex := currPlayerDownsync.JoinIndex
collisionPlayerIndex := COLLISION_PLAYER_INDEX_PREFIX + joinIndex
playerCollider := collisionSysMap[collisionPlayerIndex]
// Update "virtual grid position"
thatPlayerInNextFrame := nextRenderFramePlayers[i]
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thatPlayerInNextFrame.VirtualGridX, thatPlayerInNextFrame.VirtualGridY = PolygonColliderBLToVirtualGridPos(playerCollider.X-effPushbacks[joinIndex-1].X, playerCollider.Y-effPushbacks[joinIndex-1].Y, playerCollider.W*0.5, playerCollider.H*0.5, 0, 0, 0, 0, collisionSpaceOffsetX, collisionSpaceOffsetY, worldToVirtualGridRatio)
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}
return &RoomDownsyncFrame{
Id: currRenderFrame.Id + 1,
PlayersArr: nextRenderFramePlayers,
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}
}
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func GenerateRectCollider(wx, wy, w, h, topPadding, bottomPadding, leftPadding, rightPadding, spaceOffsetX, spaceOffsetY float64, data interface{}, tag string) *resolv.Object {
blX, blY := WorldToPolygonColliderBLPos(wx, wy, w*0.5, h*0.5, topPadding, bottomPadding, leftPadding, rightPadding, spaceOffsetX, spaceOffsetY)
return generateRectColliderInCollisionSpace(blX, blY, leftPadding+w+rightPadding, bottomPadding+h+topPadding, data, tag)
}
func generateRectColliderInCollisionSpace(blX, blY, w, h float64, data interface{}, tag string) *resolv.Object {
collider := resolv.NewObject(blX, blY, w, h, tag) // Unlike its frontend counter part, the position of a "resolv.Object" must be specified by "bottom-left point" because "w" and "h" must be positive, see "resolv.Object.BoundsToSpace" for details
shape := resolv.NewRectangle(0, 0, w, h)
collider.SetShape(shape)
collider.Data = data
return collider
}
func GenerateConvexPolygonCollider(unalignedSrc *Polygon2D, spaceOffsetX, spaceOffsetY float64, data interface{}, tag string) *resolv.Object {
aligned := AlignPolygon2DToBoundingBox(unalignedSrc)
var w, h float64 = 0, 0
shape := resolv.NewConvexPolygon()
for i, pi := range aligned.Points {
for j, pj := range aligned.Points {
if i == j {
continue
}
if math.Abs(pj.X-pi.X) > w {
w = math.Abs(pj.X - pi.X)
}
if math.Abs(pj.Y-pi.Y) > h {
h = math.Abs(pj.Y - pi.Y)
}
}
}
for i := 0; i < len(aligned.Points); i++ {
p := aligned.Points[i]
shape.AddPoints(p.X, p.Y)
}
collider := resolv.NewObject(aligned.Anchor.X+spaceOffsetX, aligned.Anchor.Y+spaceOffsetY, w, h, tag)
collider.SetShape(shape)
collider.Data = data
return collider
}
func AlignPolygon2DToBoundingBox(input *Polygon2D) *Polygon2D {
// Transform again to put "anchor" at the "bottom-left point (w.r.t. world space)" of the bounding box for "resolv"
boundingBoxBL := &Vec2D{
X: MAX_FLOAT64,
Y: MAX_FLOAT64,
}
for _, p := range input.Points {
if p.X < boundingBoxBL.X {
boundingBoxBL.X = p.X
}
if p.Y < boundingBoxBL.Y {
boundingBoxBL.Y = p.Y
}
}
// Now "input.Anchor" should move to "input.Anchor+boundingBoxBL", thus "boundingBoxBL" is also the value of the negative diff for all "input.Points"
output := &Polygon2D{
Anchor: &Vec2D{
X: input.Anchor.X + boundingBoxBL.X,
Y: input.Anchor.Y + boundingBoxBL.Y,
},
Points: make([]*Vec2D, len(input.Points)),
}
for i, p := range input.Points {
output.Points[i] = &Vec2D{
X: p.X - boundingBoxBL.X,
Y: p.Y - boundingBoxBL.Y,
}
}
return output
}