I think you are just having an issue with the named tuple syntax. I don't think 
you can have the names in the constructor of a tuple. I feel like a tuple is a 
wrong thing to use here, just create a normal object

Fixed:
    
    
    import vmath
    
    type
      Seg = array[4, Vec2]
      Segs = array[4, Seg]
      Spline = object
        t: seq[float32]
        xy: seq[Vec2]
        v: seq[Vec2]
        a: seq[Vec2]
        lengt: seq[float32]
    
    proc bezier(segment: Seg, res: int): Spline =
      var t: seq[float32]
      let
        t1  = 1 / float32(res)
        t2 = t1 * t1
        t3 = t2 * t1
        b0 = segment[0]
        b1 = segment[1]
        b2 = segment[2]
        b3 = segment[3]
        a  = -b0 + 3 * b1 + -3 * b2 + b3
        b  = 3 * b0 + -6 * b1 + 3 * b2
        c  = -3 * b0 + 3 * b1
      var
        d  = b0
        fd1 = a * t3 + b * t2 + c * t1  #initial velocity
        fd2 = 6 * a * t3 + 2 * b * t2   #initial acceleration
        fd3 = 6 * a * t3                #acceleration change
        seqt = @[float32(0.0)]
        seqxy = @[d]
        seqfd1 = @[fd1]
        seqfd2 = @[fd2]
        seqlen = @[length(d)]
      
      for i in 1 .. res:
        d += fd1
        fd1 += fd2    #speed
        fd2 += fd3    #acceleration
        seqt.add(float32(i)*t1)
        seqxy.add(d)
        seqfd1.add(fd1)
        seqfd2.add(fd2)
        seqlen.add(length(d))
      let spline = Spline(t: seqt, xy: seqxy, v: seqfd1, a: seqfd2)
      return spline
    
    
    Run

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