Mercurial > games > semicongine
changeset 284:330e91ebd525
add: collision calculations
author | Sam <sam@basx.dev> |
---|---|
date | Mon, 05 Jun 2023 23:57:16 +0700 |
parents | 9632a323e7a9 |
children | 0efceb4bd935 |
files | src/semicongine/collision.nim |
diffstat | 1 files changed, 131 insertions(+), 3 deletions(-) [+] |
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line diff
--- a/src/semicongine/collision.nim Sun Jun 04 00:30:43 2023 +0700 +++ b/src/semicongine/collision.nim Mon Jun 05 23:57:16 2023 +0700 @@ -1,7 +1,10 @@ +import std/sequtils + import ./core import ./scene -const MAX_COLLISON_DETECTION_ITERATIONS = 20 +const MAX_COLLISON_DETECTION_ITERATIONS = 10 +const MAX_COLLISON_POINT_CALCULATION_ITERATIONS = 10 type HitBox* = ref object of Component @@ -102,7 +105,7 @@ if sameDirection(abc.cross(ac), ao): if sameDirection(ac, ao): simplex = @[a, c] - direction = ac.cross(ao).cross(ac); + direction = ac.cross(ao).cross(ac) else: simplex = @[a, b] return line(simplex, direction) @@ -145,6 +148,40 @@ return true +func getFaceNormals(polytope: seq[Vec3f], faces: seq[int]): (seq[Vec4f], int) = + var + normals: seq[Vec4f] + minTriangle = 0 + minDistance = high(float32) + + for i in countup(0, faces.len - 1, 3): + let + a = polytope[faces[i + 0]] + b = polytope[faces[i + 1]] + c = polytope[faces[i + 2]] + + var normal = (b - a).cross(c - a).normalized() + var distance = normal.dot(a) + + if distance < 0: + normal = normal * -1'f32 + distance = distance * -1'f32 + + normals.add normal.toVec4(distance) + + if distance < minDistance: + minTriangle = i div 3 + minDistance = distance + + return (normals, minTriangle) + +func addIfUniqueEdge(edges: var seq[(int, int)], faces: seq[int], a: int, b: int) = + let reverse = edges.find((faces[b], faces[a])) + if (reverse >= 0): + edges.delete(reverse) + else: + edges.add (faces[a], faces[b]) + func nextSimplex(simplex: var seq[Vec3f], direction: var Vec3f): bool = case simplex.len of 2: simplex.line(direction) @@ -152,6 +189,77 @@ of 4: simplex.tetrahedron(direction) else: raise newException(Exception, "Error in simplex") +func collisionPoint*[A, B](simplex: var seq[Vec3f], a: A, b: B): tuple[normal: Vec3f, penetrationDepth: float32] = + var + polytope = simplex + faces = @[ + 0, 1, 2, + 0, 3, 1, + 0, 2, 3, + 1, 3, 2 + ] + (normals, minFace) = getFaceNormals(polytope, faces) + minNormal: Vec3f + minDistance = high(float32) + iterCount = 0 + + while minDistance == high(float32) and iterCount < MAX_COLLISON_POINT_CALCULATION_ITERATIONS: + minNormal = normals[minFace].xyz + minDistance = normals[minFace].w + var + support = supportPoint(a, b, minNormal) + sDistance = minNormal.dot(support) + + if abs(sDistance - minDistance) > 0.001'f32: + minDistance = high(float32) + var uniqueEdges: seq[(int, int)] + var i = 0 + while i < normals.len: + if sameDirection(normals[i], support): + var f = i * 3 + + addIfUniqueEdge(uniqueEdges, faces, f + 0, f + 1) + addIfUniqueEdge(uniqueEdges, faces, f + 1, f + 2) + addIfUniqueEdge(uniqueEdges, faces, f + 2, f + 0) + + faces[f + 2] = faces.pop() + faces[f + 1] = faces.pop() + faces[f + 0] = faces.pop() + + normals[i] = normals.pop() + + dec i + inc i + + var newFaces: seq[int] + for (edgeIndex1, edgeIndex2) in uniqueEdges: + newFaces.add edgeIndex1 + newFaces.add edgeIndex2 + newFaces.add polytope.len + + polytope.add support + + var (newNormals, newMinFace) = getFaceNormals(polytope, newFaces) + if newNormals.len == 0: + break + + var oldMinDistance = high(float32) + for j in 0 ..< normals.len: + if normals[j].w < oldMinDistance: + oldMinDistance = normals[j].w + minFace = j + + if (newNormals[newMinFace].w < oldMinDistance): + minFace = newMinFace + normals.len + + for f in newFaces: + faces.add f + for n in newNormals: + normals.add n + inc iterCount + + result = (normal: minNormal, penetrationDepth: minDistance + 0.001'f32) + func intersects*[A, B](a: A, b: B): bool = var support = supportPoint(a, b, newVec3f(0.8153, -0.4239, 0.5786)) # just random initial vector @@ -168,7 +276,27 @@ return true # prevent numeric instability if direction == newVec3f(0, 0, 0): - direction[0] = 0.001 + direction[0] = 0.0001 + inc n + +func collision*[A, B](a: A, b: B): tuple[hasCollision: bool, normal: Vec3f, penetrationDepth: float32] = + var + support = supportPoint(a, b, newVec3f(0.8153, -0.4239, 0.5786)) # just random initial vector + simplex = newSeq[Vec3f]() + direction = -support + n = 0 + simplex.insert(support, 0) + while n < MAX_COLLISON_DETECTION_ITERATIONS: + support = supportPoint(a, b, direction) + if support.dot(direction) <= 0: + return result + simplex.insert(support, 0) + if nextSimplex(simplex, direction): + let (normal, depth) = collisionPoint(simplex, a, b) + return (true, normal, depth) + # prevent numeric instability + if direction == newVec3f(0, 0, 0): + direction[0] = 0.0001 inc n func calculateHitbox*(points: seq[Vec3f]): HitBox =