desc.geometry.FourierXYCurve

class desc.geometry.FourierXYCurve(center=[10, 0, 0], normal=[0, 1, 0], X_n=[0, 2], Y_n=[2, 0], modes=None, basis='xyz', name='')Source

Curve that lies in a plane.

Parameterized by a point (the center of the curve), a vector (normal to the plane), and Fourier series defining the X and Y coordinates in the plane as a function of an arbitrary angle s.

Parameters:

• center (array-like, shape(3,)) – Coordinates of center of curve, in system determined by basis.

• normal (array-like, shape(3,)) – Components of normal vector to planar surface, in system determined by basis.

• X_n (array-like) – Fourier coefficients of the X coordinate in the plane.

• Y_n (array-like) – Fourier coefficients of the Y coordinate in the plane.

• modes (array-like) – Mode numbers associated with X_n and Y_n. The n=0 mode will be ignored.

• basis ({'xyz', 'rpz'}) – Coordinate system for center and normal vectors. Default = ‘xyz’.

• name (str) – Name for this curve.

Methods

change_resolution([N])	Change the maximum angular resolution.
compute(names[, grid, params, transforms, ...])	Compute the quantity given by name on grid.
copy([deepcopy])	Return a (deep)copy of this object.
equiv(other)	Compare equivalence between DESC objects.
flip([normal])	Flip the curve about the plane with specified normal in X,Y,Z coordinates.
from_values(coords[, N, s, basis, name])	Fit coordinates to FourierXYCurve representation.
get_coeffs(n)	Get Fourier coefficients for given mode number(s).
load(load_from[, file_format])	Initialize from file.
pack_params(p)	Convert a dictionary of parameters into a single array.
rotate([axis, angle])	Rotate the curve by a fixed angle about axis in X,Y,Z coordinates.
save(file_name[, file_format, file_mode])	Save the object.
set_coeffs(n[, X, Y])	Set specific Fourier coefficients.
to_FourierPlanar([N, grid, basis, name])	Convert Curve to FourierPlanarCurve representation.
to_FourierRZ([N, grid, NFP, sym, name])	Convert Curve to FourierRZCurve representation.
to_FourierXY([N, grid, s, basis, name])	Convert Curve to FourierXYCurve representation.
to_FourierXYZ([N, grid, s, name])	Convert Curve to FourierXYZCurve representation.
to_SplineXYZ([knots, grid, method, name])	Convert Curve to SplineXYZCurve.
translate([displacement])	Translate the curve by a rigid displacement in X,Y,Z coordinates.
unpack_params(x)	Convert a single array of concatenated parameters into a dictionary.

Attributes

N	Maximum mode number.
X_basis	Spectral basis for X Fourier series.
X_n	Spectral coefficients for X.
Y_basis	Spectral basis for Y Fourier series.
Y_n	Spectral coefficients for Y.
basis	Coordinate system for center and normal vectors.
center	Center of planar curve.
dim_x	total number of optimizable parameters.
dimensions	dictionary of integers of sizes of each optimizable parameter.
name	Name of the curve.
normal	Normal vector to plane.
optimizable_params	string names of parameters that have been declared optimizable.
params_dict	dictionary of arrays of optimizable parameters.
rotmat	Rotation matrix of curve in X, Y, Z.
shift	Displacement of curve in X, Y, Z.
x_idx	arrays of indices for each parameter in concatenated array.