Calculate Bezier Curve Position, Velocity, and Acceleration with Dual Numbers

The function `calculateBezierPosVelAcc` takes an array of `Vector3f` positions, the number of positions `N`, and a float value `t` as input. It calculates the position, velocity, and acceleration of a point on a Bezier curve at the given time `t` and stores the results in the `position`, `velocity`, and `acceleration` variables respectively. \n\nThe function first checks if the input positions array is `nullptr`, if the number of positions is 0, or if the value of `t` is outside the range [0, 1]. If any of these conditions are true, the function returns false.\n\nThe function then creates an array of `Vector3DDf` objects called `intermediates` with size `N`. Each `Vector3DDf` object represents a position on the Bezier curve and is initialized with the corresponding position from the input array.\n\nNext, the function creates a `DDf` object called `dual_t` which represents the time `t` and its first and second derivatives. The value of `dual_t` is calculated as `Df(t, 0)` where `Df` is a dual number with a real part and a dual part.\n\nThe function then calls the `calculateBezier` function passing the `intermediates` array, the number of positions `N`, the `dual_t` object, and `Df(1) - dual_t` as arguments. The `calculateBezier` function calculates the Bezier interpolation using the dual numbers and updates the `intermediates` array.\n\nFinally, the function extracts the real parts of the first `Vector3DDf` object in the `intermediates` array and assigns it to the `position` variable. It also extracts the real parts and the derivatives of the first `Vector3DDf` object and assigns them to the `velocity` and `acceleration` variables respectively.\n\nThe function returns true to indicate that the calculation was successful.