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catmullRomCentripetal

Definition


-- @/lua/common/mathlib.lua:1299

-- best stability, no loops or self-intersections
function catmullRomCentripetal(p0, p1, p2, p3, t, s)
  return cardinalSpline(p0, p1, p2, p3, t, s or 0.5, sqrt(p0:distance(p1)), sqrt(p1:distance(p2)), sqrt(p2:distance(p3)))
end

Callers

@/lua/ge/extensions/core/cameraModes/path.lua

    -- Set the correct rotation to the virtual marker at the start
    local catMullRot = catmullRomCentripetal(r1, r2, r3, r4, 0.1):normalized()
    r1 = r2:nlerp(catMullRot, -1)

    -- Set the correct rotation to the virtual marker at the end
    local catMullRot = catmullRomCentripetal(r1, r2, r3, r4, 0.9):normalized()
    r4 = r3:nlerp(catMullRot, -1)


  local rot = catmullRomCentripetal(r1, r2, r3, r4, calculateTnorm(sqrt(r1:distance(r2)), sqrt(r2:distance(r3)), sqrt(r3:distance(r4)), t1, t2, t3, camTLocal)):normalized()
  local fov = monotonicSteffen(markers[n1].fov or 60, markers[n2].fov or 60, markers[n3].fov or 60, markers[n4].fov or 60, 0, t1, t1 + t2, t1 + t2 + t3, t1 + camTLocal)

@/lua/ge/extensions/editor/toolUtilities/util.lua

    for t = 0.1, 1.0, 0.1 do
      local pt = catmullRomCentripetal(p0, p1, p2, p3, t, 0.5)
      local dx, dy = pt.x - lastPt.x, pt.y - lastPt.y  -- XY-plane only.

@/lua/ge/extensions/editor/terraform/fetchSources.lua

    for q = startIdx, 1, 0.1 do
      table.insert(nodes, catmullRomCentripetal(p1, p2, p3, p4, q, 0.5))
      table.insert(widths, defaultWidthForMeshSplines)

@/lua/vehicle/controller/tech/roadsSensor.lua

        local q = k * splineGranInv
        disc[ctr] = catmullRomCentripetal(p0, p1, p2, p3, q, splineSmoothness)
        --obj.debugDrawProxy:drawSphere(0.1, disc[ctr] + vec3(0, 0, 0.25), color(255, 255, 255, 255))

@/lua/ge/extensions/editor/camPathEditor.lua

        -- Set the correct rotation to the virtual marker at the start
        local catMullRot = catmullRomCentripetal(r1, r2, r3, r4, 0.1):normalized()
        r1 = r2:nlerp(catMullRot, -1)

        -- Set the correct rotation to the virtual marker at the end
        local catMullRot = catmullRomCentripetal(r1, r2, r3, r4, 0.9):normalized()
        r4 = r3:nlerp(catMullRot, -1)


      local rot = catmullRomCentripetal(r1, r2, r3, r4, calculateTnorm(sqrt(r1:distance(r2)), sqrt(r2:distance(r3)), sqrt(r3:distance(r4)), t1, t2, t3, camTLocal)):normalized()
      local fov = monotonicSteffen(markers[n1].fov or 60, markers[n2].fov or 60, markers[n3].fov or 60, markers[n4].fov or 60, 0, t1, t1 + t2, t1 + t2 + t3, t1 + camTLocal)

@/lua/ge/extensions/editor/scriptAIEditor.lua

    if i1 == i2 then                                                            -- Edge case: Set the correct rotation to the virtual marker at the start.
      local catmullRot = catmullRomCentripetal(r1, r2, r3, r4, 0.1)
      catmullRot:normalize()

    if i3 == i4 then                                                            -- Edge case: Set the correct rotation to the virtual marker at the end.
      local catmullRot = catmullRomCentripetal(r1, r2, r3, r4, 0.9)
      catmullRot:normalize()

    local tNorm = calculateTnorm(sqrt(r1:distance(r2)), sqrt(r2:distance(r3)), sqrt(r3:distance(r4)), dt1, dt2, dt3, tLoc)
    rot = catmullRomCentripetal(r1, r2, r3, r4, tNorm)
    rot:normalize()