146 lines
No EOL
4.2 KiB
Lua
146 lines
No EOL
4.2 KiB
Lua
Math = Math or {}
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function Math.Clamp(value, min, max)
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return math.min(math.max(value, min), max)
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end
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function Math.Remap(value, min, max, newMin, newMax)
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return newMin + (value - min) / (max - min) * (newMax - newMin)
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end
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function Math.PointInRadius(radius)
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local angle = math.rad(math.random(0, 360))
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return vector2(radius * math.cos(angle), radius * math.sin(angle))
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end
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function Math.Normalize(value, min, max)
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if max == min then return 0 end -- Avoid division by zero
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return (value - min) / (max - min)
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end
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function Math.Normalize2D(x, y)
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if type(x) == "vector2" then
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x, y = x.x, x.y
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end
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local length = math.sqrt(x*x + y*y)
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return length ~= 0 and vector2(x / length, y / length) or vector2(0, 0)
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end
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function Math.Normalize3D(x, y, z)
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if type(x) == "vector3" then
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x, y, z = x.x, x.y, x.z
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end
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local length = math.sqrt(x*x + y*y + z*z)
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return length ~= 0 and vector3(x / length, y / length, z / length) or vector3(0, 0, 0)
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end
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function Math.Normalize4D(x, y, z, w)
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if type(x) == "vector4" then
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x, y, z, w = x.x, x.y, x.z, x.w
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end
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local length = math.sqrt(x*x + y*y + z*z + w*w)
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return length ~= 0 and vector4(x / length, y / length, z / length, w / length) or vector4(0, 0, 0, 0)
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end
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function Math.DirectionToTarget(fromV3, toV3)
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return Math.Normalize3D(toV3.x - fromV3.x, toV3.y - fromV3.y, toV3.z - fromV3.z)
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end
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function Deg2Rad(deg)
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return deg * math.pi / 180.0
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end
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function RotVector(pos, rot)
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local pitch = Deg2Rad(rot.x)
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local roll = Deg2Rad(rot.y)
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local yaw = Deg2Rad(rot.z)
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local cosY = math.cos(yaw)
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local sinY = math.sin(yaw)
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local cosP = math.cos(pitch)
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local sinP = math.sin(pitch)
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local cosR = math.cos(roll)
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local sinR = math.sin(roll)
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local m11 = cosY * cosR + sinY * sinP * sinR
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local m12 = sinR * cosP
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local m13 = -sinY * cosR + cosY * sinP * sinR
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local m21 = -cosY * sinR + sinY * sinP * cosR
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local m22 = cosR * cosP
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local m23 = sinR * sinY + cosY * sinP * cosR
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local m31 = sinY * cosP
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local m32 = -sinP
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local m33 = cosY * cosP
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return vector3(pos.x * m11 + pos.y * m21 + pos.z * m31, pos.x * m12 + pos.y * m22 + pos.z * m32, pos.x * m13 + pos.y * m23 + pos.z * m33)
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end
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function Math.GetOffsetFromMatrix(position, rotation, offset)
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local rotated = RotVector(offset, rotation)
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print("Rotated: " .. tostring(rotated))
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return position + rotated
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end
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function Math.InBoundary(pos, boundary)
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if not boundary then return true end
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local x, y, z = table.unpack(pos)
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-- Handle legacy min/max boundary format for backwards compatibility
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if boundary.min and boundary.max then
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local minX, minY, minZ = table.unpack(boundary.min)
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local maxX, maxY, maxZ = table.unpack(boundary.max)
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return x >= minX and x <= maxX and y >= minY and y <= maxY and z >= minZ and z <= maxZ
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end
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-- Handle list of points (polygon boundary)
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if boundary.points and #boundary.points > 0 then
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local points = boundary.points
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local minZ = boundary.minZ or -math.huge
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local maxZ = boundary.maxZ or math.huge
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-- Check Z bounds first
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if z < minZ or z > maxZ then
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return false
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end
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-- Point-in-polygon test using ray casting algorithm (improved version)
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local inside = false
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local n = #points
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for i = 1, n do
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local j = i == n and 1 or i + 1 -- Next point (wrap around)
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local xi, yi = points[i].x or points[i][1], points[i].y or points[i][2]
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local xj, yj = points[j].x or points[j][1], points[j].y or points[j][2]
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-- Ensure xi, yi, xj, yj are numbers
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if not (xi and yi and xj and yj) then
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goto continue
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end
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-- Ray casting test
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if ((yi > y) ~= (yj > y)) then
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-- Calculate intersection point
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local intersect = (xj - xi) * (y - yi) / (yj - yi) + xi
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if x < intersect then
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inside = not inside
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end
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end
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::continue::
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end
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return inside
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end
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-- Fallback to true if boundary format is not recognized
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return true
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end
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exports('Math', Math)
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return Math |