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sqrt

Definition


-- @/=[C]:-1
function sqrt(...)

Callers

@/gameplay/missionTypes/evade/customNodes/getClosestTrafficNode.lua 
  self.pinOut.vehId.value = bestId
  self.pinOut.distance.value = math.sqrt(bestDist)
end
@/ui/lib/ext/angular-material/angular-material.js 
          var dy = this.state.pos.y - pointer.y;
          if (Math.sqrt(dx * dx + dy * dy) > this.options.maxDistance) {
            this.cancel();
    pointer.distanceY = y - pointer.startY;
    pointer.distance = Math.sqrt(
      pointer.distanceX * pointer.distanceX + pointer.distanceY * pointer.distanceY
        if (options.isMenuItem) {
          size = Math.sqrt(Math.pow(width, 2) + Math.pow(height, 2));
        } else if (options.outline) {
          height = Math.max(top, height - top);
          size = 2 * Math.sqrt(Math.pow(width, 2) + Math.pow(height, 2));
        } else {
          multiplier = options.fullRipple ? 1.1 : 0.8;
          size = Math.sqrt(Math.pow(width, 2) + Math.pow(height, 2)) * multiplier;
          if (options.fitRipple) {
        var size = direction === 'left' || direction === 'right'
              ? Math.sqrt(Math.pow(tipRect.width, 2) + Math.pow(tipRect.height / 2, 2)) * 2
              : Math.sqrt(Math.pow(tipRect.width / 2, 2) + Math.pow(tipRect.height, 2)) * 2,
              ? Math.sqrt(Math.pow(tipRect.width, 2) + Math.pow(tipRect.height / 2, 2)) * 2
              : Math.sqrt(Math.pow(tipRect.width / 2, 2) + Math.pow(tipRect.height, 2)) * 2,
            position = direction === 'left' ? { left: 100, top: 50 }
@/lua/vehicle/powertrain/cvtGearbox.lua 
  device.parkLockSpring = device.parkLockSpringBase or (powertrain.stabilityCoef * powertrain.stabilityCoef * outputInertia * 0.5) --Nm/rad
  device.parkLockDamp = device.parkLockDampRatio * sqrt(device.parkLockSpring * outputInertia)
  device.maxParkClutchAngle = device.parkLockTorque / device.parkLockSpring
@/lua/ge/extensions/editor/gen/world.lua 
			local d = U.toLine(center, {base[i], U.mod(i+1,base)})
			auv[#auv + 1] = {u = side - math.sqrt(((center-base[i]):length())^2-d^2), v = -vec3(d,tip):length()}
			auv[#auv + 1] = {u = 0, v = 0}
		for _,s in pairs(out.aforest) do
			local r = 0.02*math.sqrt((s-core_camera.getPosition()):length())
			debugDrawer:drawSphere(s, r, ColorF(1,1,0,1),false)
		if rayCast then
			local r = 0.01*math.sqrt((rayCast.pos-core_camera.getPosition()):length())
			debugDrawer:drawSphere(rayCast.pos + vec3(0,0,0.25), r*4, ColorF(0.3,1,0.2,.6), false)
@/lua/ge/extensions/freeroam/gasStations.lua 

  return center, math.sqrt(maxDistSqr)
end
@/lua/ge/extensions/gameplay/route/raceRoute.lua 

--   local d = math.sqrt(distSq)
--   debugDrawer:drawTextAdvanced(currentPos, string.format("CURR i=%d d=%0.2f", i, d), ColorF(0,0,0,1), true, false, ColorI(0,255,0,255), false, false)
  -- self:drawDebugGetPositionOffset(currentPos, lowIdx)
  return lowIdx, math.sqrt(totalMinDist)
end
@/lua/ge/extensions/gameplay/util/crashDetection.lua 

    local accel = abs(point.smootherAcc:getUncapped(sqrt(square(tempVecCurrAccel.x) + square(tempVecCurrAccel.y) + square(tempVecCurrAccel.z)), dtSim))
@/lua/vehicle/powertrain/splitShaft.lua 
  device.lockSpring = device.lockSpringBase or (powertrain.stabilityCoef * powertrain.stabilityCoef * secondaryOutputInertia * device.lockSpringCoef) --Nm/rad
  device.lockDamp = device.lockDampRatio * sqrt(device.lockSpring * secondaryOutputInertia)
  device.maxShaftAngle = math.sqrt(device.lockTorque / device.lockSpring)
  device.lockDamp = device.lockDampRatio * sqrt(device.lockSpring * secondaryOutputInertia)
  device.maxShaftAngle = math.sqrt(device.lockTorque / device.lockSpring)
  --print(device.lockSpring)
@/lua/ge/extensions/freeroam/facilities.lua 
      pos.z = core_terrain.getTerrainHeight(pos) or pos.z
      radius = math.sqrt(((aabb.xMax - aabb.xMin)/2) * ((aabb.xMax - aabb.xMin)/2) + ((aabb.yMax - aabb.yMin)/2) * ((aabb.yMax - aabb.yMin)/2))
      success =true
      markerInfo = {
        walkingMarker = { doors = deepcopy(f.doors), iconOffsetHeight = f.iconOffsetHeight, iconLift = f.iconLift, icon = f.playModeIconName or f.icon, pos = center, radius = math.sqrt(maxDistSqr), screens = f.screens},
        bigmapMarker = { pos = center, icon = f.icon or f.playModeIconName, name = f.name, description = f.description, thumbnail = f.preview, previews = {f.preview}}
@/lua/ge/extensions/editor/tech/roadArchitect/clothoid.lua 
  local absA = abs(a)
  local z = m_1_sqrt_pi * sqrt(absA)
  local ell = s * b * m_1_sqrt_pi / sqrt(absA)
  local z = m_1_sqrt_pi * sqrt(absA)
  local ell = s * b * m_1_sqrt_pi / sqrt(absA)
  local g = -0.5 * s * (b * b) / absA
@/lua/ge/extensions/editor/gen/network.lua 
        x = -(a+b-d+2*r)*(a-b)/(2*d)
        y = math.sqrt((d+b-a)*(d+a-b)*(a+b+d+2*r)*(a+b-d+2*r))/(2*d)
    --    print('!! FOR_INTER:'..i..":"..j..":"..d..':'..x)
        x = -r*(a - b)/(a + b)
        y = 2/(a + b) * math.sqrt(r*a*b*(r + a + b))
        if edges.infaces[stamp] == 1 then
@/lua/ge/extensions/gameplay/util/damageAssessment.lua 
  -- Calculate standard deviation and normalize
  local stdDev = math.sqrt(variance)
  return math.min(stdDev / maxValue, 1.0)
@/lua/ge/extensions/editor/toolUtilities/simplex.lua 
function M.noise(xin, yin)
  local s = (xin + yin) * 0.5 * (sqrt(3) - 1)
  local i = floor(xin + s)
  local j = floor(yin + s)
  local t = (i + j) * ((3 - sqrt(3)) / 6)
  local X0 = i - t

  local x1 = x0 - i1 + ((3 - sqrt(3)) / 6)
  local y1 = y0 - j1 + ((3 - sqrt(3)) / 6)
  local x1 = x0 - i1 + ((3 - sqrt(3)) / 6)
  local y1 = y0 - j1 + ((3 - sqrt(3)) / 6)
  local x2 = x0 - 1 + 2 * ((3 - sqrt(3)) / 6)
  local y1 = y0 - j1 + ((3 - sqrt(3)) / 6)
  local x2 = x0 - 1 + 2 * ((3 - sqrt(3)) / 6)
  local y2 = y0 - 1 + 2 * ((3 - sqrt(3)) / 6)
  local x2 = x0 - 1 + 2 * ((3 - sqrt(3)) / 6)
  local y2 = y0 - 1 + 2 * ((3 - sqrt(3)) / 6)
@/lua/ge/extensions/editor/crawlEditor/startingPositions.lua 
      local camPos = mouseInfo.camPos
      local areaSelectionRadius = math.sqrt(areaPos:distance(camPos)) * 0.1
      local iconSelectionRadius = math.sqrt(iconPos:distance(camPos)) * 0.1
      local areaSelectionRadius = math.sqrt(areaPos:distance(camPos)) * 0.1
      local iconSelectionRadius = math.sqrt(iconPos:distance(camPos)) * 0.1

  -- Calculate camera distance-based scaling
  local areaDist = math.sqrt(areaPos:distance(camPos))
  local iconDist = math.sqrt(iconPos:distance(camPos))
  local areaDist = math.sqrt(areaPos:distance(camPos))
  local iconDist = math.sqrt(iconPos:distance(camPos))
@/ui/modules/apps/SimplePerfTimers/app.js 
            stopVelo = streams.electrics.airspeed
            var distance = Math.sqrt(Math.pow((stopPos.x - startPos.x), 2) + Math.pow((stopPos.y - startPos.y), 2) + Math.pow((stopPos.z - startPos.z), 2))
            wheelTimerState = 0
            stopVelo = streams.electrics.airspeed
            var distance2 = Math.sqrt(Math.pow((stopPos2.x - startPos.x), 2) + Math.pow((stopPos2.y - startPos.y), 2)  + Math.pow((stopPos2.z - startPos.z), 2))
            wheelTimerState = 0
@/lua/ge/map.lua 
            local nodeName = nameNode(prefix, count)
            mapNodes[nodeName] = {pos = nodePos[1], radius = sqrt(nodeSqRad[1]), links = {}, noMerge = noMerge, endNode = true}
            local prevName = nodeName
                local outNode = inNode == nodeName and prevName or nodeName
                mapNodes[nodeName] = {pos = pk, radius = sqrt(nodeSqRad[k]), links = {}, noMerge = noMerge}
                local data = {

  return closestRoadNode1, closestRoadNode2, sqrt(closestDist)
end
  elseif not currRoads[2] then -- only one entry in the table
    return currRoads[1][1], currRoads[1][2], math.sqrt(currRoads[1][3])
    -- need to return inNode to outNode

  return bestRoad1, bestRoad2, math.sqrt(bestDist)
end
              = 2 * |AB| * |BC| * Sin(th) / ( |AB| * |BC| * |CA| ) =>
              = 2 * (+/-) * sqrt ( 1 - Cos^2(th) ) / |CA| =>
              = 2 * (+/-) sqrt [ ( 1 - Cos^2(th) ) / |CA|^2 ) ] -- This is an sqrt optimization step
      end
      vec2:setScaled(sqrt(0.5 * (minDsq + maxDsq) / max(0, 1e-100 + vec2Sqlen)))
    end
  vec2:setScaled(-1)
  return 2 * sqrt((1 - cos8sq) / max(0, 1e-100 + vec1:squaredDistance(vec2)))
end
@/lua/common/filters.lua 
  if cycleDt * freq >= (cycleCount or 1) then
    self.lastAmpl = math.sqrt(max(0, s_prev*(s_prev - coeff*s) + s*s)) / self.N
    self.s_prev, self.s_prev2, self.cycleDt, self.N = 0, 0, 0, 0
  self.s_prev2, self.s_prev = s_prev, s
  return sqrt(max(0, s_prev*(s_prev - coeff*s) + s*s)) * 0.48 / (winCoef*(0.5 - fdt))
end
function freqExists:bufferEnd()
  local ampl = math.sqrt(max(0, self.s_prev2*(self.s_prev2 - self.cycleDt*self.s_prev) + self.s_prev*self.s_prev)) / self.N
  self.s_prev, self.s_prev2, self.N = 0, 0, 0
@/gameplay/missionTypes/scatterPickup/customNodes/scatterCollectNode.lua 
  d = math.max(d, minInitialRadius*minInitialRadius)
  self.radius = math.sqrt(d)
end
@/lua/vehicle/powertrain/hydraulicPump.lua 
  local reliefPressureScale = linearScale(device.accumulatorPressure, device.reliefOpeningPressure, device.reliefFullyOpenPressure, 0, 1)
  device.reliefFlow = 0.6 * device.reliefValveArea * reliefPressureScale * sqrt(2 * abs(device.accumulatorPressure) * 0.0012) -- 0.6: efficiency, 0.0012: oil density
end
@/lua/ge/extensions/editor/gen/terrain.lua 
                local pos = grid2p({i,j})
                local d = math.sqrt((i-p[1].y)^2+(j-p[1].x)^2)
                if d < r then
    if grid < 1 then grid = 1 end
    ravg = math.sqrt(dma*dma/#aregion/math.pi)
    local R = 1.5*ravg + dma/2
@/lua/ge/extensions/editor/terraform/terraform.lua 
    if dist < sdf[idx] * sdf[idx] then
      sdf[idx] = sqrt(dist)
      closestX[idx], closestY[idx] = cx, cy
@/lua/ge/extensions/editor/roadSpline/import.lua 
      end
      minDist = sqrt(minDist) -- Closest distance between the node and the reference centerline.
@/lua/vehicle/extensions/tech/platooning.lua 
  local currentSpeed = electrics.values.wheelspeed -- Speed of the vehicle
  local velocityy = math.sqrt(velocityyx ^ 2 + velocityyy ^ 2 + velocityyz ^ 2)


  local velocityy = math.sqrt(velocityyx^2 + velocityyy^2 + velocityyz^2) --following vehcile's velocity
  
  local currentSpeed = electrics.values.wheelspeed    --speed of the vehicle with the acc
  local speedDifference = math.sqrt((velocityy-targetSpeedIn)^2)
  local distanceToCars = encodedDistances
  local vy = tonumber(vel.y)
  local velocity = math.sqrt( vx^2 + vy^2)*3.6

  local ay = tonumber(acc.y)
  local accel = math.sqrt( ax^2 + ay^2)
  local posPos = pos.y*-1
        local vyR = tonumber(velR.y)
        local velocityR = math.sqrt( vxR^2 + vyR^2)*3.6 
        
      local vy = tonumber(velB.y)
      local velocityB = math.sqrt( vx^2 + vy^2)*3.6
     
      local ay = tonumber(accB.y)
      local accelB = math.sqrt( ax^2 + ay^2)
      local posBPos = posB.y*-1
    local vy = tonumber(vel.y)
    local velocity = math.sqrt( vx^2 + vy^2)
   
        if k == tonumber(vehicles) then
          velocityRelay = math.sqrt(v.vel.x^2 + v.vel.y^2) 
         
              if v2 ~= nil and v2 ~= 0 then
                distance = math.sqrt(v2)  -- distance between the vehicles
                
                local z = tonumber(v2.z)
                local sq2 = math.sqrt( x^2 + y^2)
@/lua/ge/extensions/editor/vehicleEditor/liveEditor/veNodeTriSelfCollisionDetector.lua 
      if distSqr <= nodeCollisionRadiusSqr then
        local dist = sqrt(distSqr)
        resultData.nodeTriPairs[nodeId] = resultData.nodeTriPairs[nodeId] or {}
@/lua/common/jbeam/sections/wheels.lua 
  local sideBeamLength =     wheel.radius - wheel.hubRadius
  local reinfBeamLength = math.sqrt(sideBeamLength * sideBeamLength + axisLength * axisLength)
  local pressuredOptions = deepcopy(wheel)
  --   wheel._surface = math.pi * (2 * (wheel.tireWidth * wheel.radius + wheel.hubWidth * wheel.hubRadius) +
  --     (wheel.radius + wheel.hubRadius) * math.sqrt(square(wheel.radius - wheel.hubRadius) + square(wheel.tireWidth - wheel.hubRadius)))
  -- end
@/gameplay/missions/automation_test_track/flowgraph/001-Dam/customNodes/getClosestStaticObjectNode.lua 
  self.pinOut.objId.value = bestId
  self.pinOut.distance.value = math.sqrt(bestDist)
end
@/lua/vehicle/controller/hydraulicSuspension.lua 

  local volume = releaseSoundVolumeSmoother:getUncapped(sqrt(avgBleedCoef), dt)
  obj:setVolumePitch(releaseSoundLoop, volume, 1)
@/lua/vehicle/controller/pneumatics/actuators.lua 
      flowPressureDiff = sourcePressure - crossFlowGroup.bufferPressure
      flowRate = dischargeCoefficient * absValveState * g.supplyHoseCrossSectionArea * sign(flowPressureDiff) * sqrt(2 * abs(flowPressureDiff) * invAirTankAirDensity)
    else

      flowRate = -pressureDumpFlowRate * absValveState * sign(flowRateCoef) * sqrt(abs(flowRateCoef))
    end
        flowPressureDiff = sourcePressure - v.currentPressure
        flowRate = dischargeCoefficient * flowCoef * v.supplyHoseCrossSectionArea * sign(flowPressureDiff) * sqrt(2 * abs(flowPressureDiff) * invBufferAirDensity)
      else
@/lua/ge/extensions/editor/tech/sensorConfiguration/utilities.lua 
  local f1 = distanceFromSensorSq + left * left;
  local fLeft = (y / sqrt(f1)) * (1.0 - rangeRoundness) + rangeRoundness - (limitCoef * pow(f1, exponent));
  local f2 = distanceFromSensorSq + right * right;
  local f2 = distanceFromSensorSq + right * right;
  local fRight = (y / sqrt(f2)) * (1.0 - rangeRoundness) + rangeRoundness - (limitCoef * pow(f2, exponent));

      local f3 = distanceFromSensorSq + mid * mid;
      local fMid = (y / (sqrt(f3))) * (1.0 - rangeRoundness) + rangeRoundness - (limitCoef * pow(f3, exponent));
      if fMid < 0.0 then
      computeBeamShapeRadius(y, rangeRoundness, 2, rangeCutoffSensitivity),
      sqrt(max(0, rangeDirectMaxCutoff * rangeDirectMaxCutoff - y*y)))
    local p1, p2 = pos + fwd * y, pos + fwd * (rangeMinCutoff + (i + 1) * divs)
local function drawMouseSphere(p)
  dbgDraw.drawSphere(p, 0.05 * sqrt(p:distance(core_camera.getPosition())), sphereColor)
end
@/lua/vehicle/powertrain/frictionClutch.lua 
  device.lockSpring = device.lockSpringBase or (powertrain.stabilityCoef * powertrain.stabilityCoef * device.cumulativeInertia * device.lockSpringCoef) --Nm/rad
  device.lockDamp = device.lockDampRatio * sqrt(device.lockSpring * device.cumulativeInertia)

  --^2 spring but linear spring after 1 rad
  device.maxClutchAngle = sqrt(device.lockTorque / device.lockSpring) + max(device.lockTorque / device.lockSpring - 1, 0)
  --linear spring
@/lua/ge/extensions/editor/gen/exp_frame.lua 
--        if d < 4 then d = d+0.01 end
--        d = math.sqrt(d)
        s = s + rec('dist',aw[1]*d)
@/ui/lib/ext/angular-material/angular-material.min.js 
 */
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