Function nbSurfaceDer

cadquery/occ_impl/nurbs.py:833–944

NURBS book A3.6 with modifications to handle periodicity. Parameters ---------- u : Array U parameter values. v : Array V parameter values. uorder : int B-spline u order. vorder : int B-spline v order. dorder : int Maximum der

(
    u: Array,
    v: Array,
    uorder: int,
    vorder: int,
    dorder: int,
    uknots: Array,
    vknots: Array,
    pts: Array,
    uperiodic: bool = False,
    vperiodic: bool = False,
)

@njit
def nbSurfaceDer(
    u: Array,
    v: Array,
    uorder: int,
    vorder: int,
    dorder: int,
    uknots: Array,
    vknots: Array,
    pts: Array,
    uperiodic: bool = False,
    vperiodic: bool = False,
) -> Array:
    """
    NURBS book A3.6 with modifications to handle periodicity.

    Parameters
    ----------
    u : Array
        U parameter values.
    v : Array
        V parameter values.
    uorder : int
        B-spline u order.
    vorder : int
        B-spline v order.
    dorder : int
        Maximum derivative order.
    uknots : Array
        U knot vector..
    vknots : Array
        V knot vector..
    pts : Array
        Control points.
    uperiodic : bool, optional
        U periodicity flag. The default is False.
    vperiodic : bool, optional
        V periodicity flag. The default is False.

    Returns
    -------
    Array
        Surface and derivative values.

    """

    # max derivative orders
    du = min(dorder, uorder)
    dv = min(dorder, vorder)

    # number of control points
    nub = pts.shape[0]
    nvb = pts.shape[1]

    # handle periodicity
    u_, uknots_ext, minspanu, maxspanu, deltaspanu = _preprocess(
        u, uorder, uknots, uperiodic
    )
    v_, vknots_ext, minspanv, maxspanv, deltaspanv = _preprocess(