From c767a3ece81563e4d212860284572c4a2384ce09 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Tue, 30 Jan 2024 03:44:23 -0500 Subject: [PATCH 01/21] initial commit, working but need to finish implementing position vector derivatives --- desc/compute/_curve.py | 315 +++++++++++++++++++++++++++++++++++++ desc/compute/data_index.py | 3 + desc/compute/utils.py | 6 +- desc/geometry/__init__.py | 8 +- desc/geometry/curve.py | 210 +++++++++++++++++++++++++ 5 files changed, 540 insertions(+), 2 deletions(-) diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index 2fefa33143..7188d77a47 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -1,6 +1,7 @@ from interpax import interp1d from desc.backend import jnp +from desc.grid import Grid from .data_index import register_compute_fun from .geom_utils import ( @@ -370,6 +371,183 @@ def _x_FourierRZCurve(params, transforms, profiles, data, **kwargs): return data +@register_compute_fun( + name="theta", + label="\\theta", + units="~", + units_long="None", + description="Poloidal angle along the curve.", + dim=1, + params=["theta_n", "surface"], + transforms={ + "theta": [[0, 0, 0]], + "grid": [], + }, + profiles=[], + coordinates="s", + data=[], + parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", +) +def _theta_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): + data["theta"] = transforms["grid"].nodes[:, 2] + transforms["theta"].transform( + params["theta_n"], dz=0 + ) + + return data + + +@register_compute_fun( + name="theta_s", + label="\\partial_s \\theta", + units="~", + units_long="None", + description="Poloidal angle along the curve, derivative wrt curve parameter s.", + dim=1, + params=["theta_n", "surface"], + transforms={ + "theta": [[0, 0, 1]], + "grid": [], + }, + profiles=[], + coordinates="s", + data=[], + parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", +) +def _theta_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): + data["theta_s"] = jnp.ones_like(transforms["grid"].nodes[:, 2]) + transforms[ + "theta" + ].transform(params["theta_n"], dz=1) + + return data + + +@register_compute_fun( + name="theta_ss", + label="\\partial^2_s \\theta", + units="~", + units_long="None", + description="Poloidal angle along the curve, 2nd derivative wrt curve parameter s.", + dim=1, + params=["theta_n", "surface"], + transforms={ + "theta": [[0, 0, 2]], + }, + profiles=[], + coordinates="s", + data=[], + parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", +) +def _theta_ss_FourierRZWindingSurfaceCurve( + params, transforms, profiles, data, **kwargs +): + data["theta_ss"] = transforms["theta"].transform(params["theta_n"], dz=2) + + return data + + +@register_compute_fun( + name="zeta", + label="\\theta", + units="~", + units_long="None", + description="Toroidal angle along the curve.", + dim=1, + params=["zeta_n", "surface"], + transforms={ + "zeta": [[0, 0, 0]], + "grid": [], + }, + profiles=[], + coordinates="s", + data=[], + parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", +) +def _zeta_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): + data["zeta"] = transforms["grid"].nodes[:, 2] + transforms["zeta"].transform( + params["zeta_n"], dz=0 + ) + + return data + + +@register_compute_fun( + name="zeta_s", + label="\\partial_s \\zeta", + units="~", + units_long="None", + description="Toroidal angle along the curve, derivative wrt curve parameter s.", + dim=1, + params=["zeta_n", "surface"], + transforms={ + "zeta": [[0, 0, 1]], + "grid": [], + }, + profiles=[], + coordinates="s", + data=[], + parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", +) +def _zeta_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): + data["zeta_s"] = jnp.ones_like(transforms["grid"].nodes[:, 2]) + transforms[ + "zeta" + ].transform(params["zeta_n"], dz=1) + + return data + + +@register_compute_fun( + name="zeta_ss", + label="\\partial^2_s \\zeta", + units="~", + units_long="None", + description="Toroidal angle along the curve, 2nd derivative wrt curve parameter s.", + dim=1, + params=["zeta_n", "surface"], + transforms={ + "zeta": [[0, 0, 2]], + }, + profiles=[], + coordinates="s", + data=[], + parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", +) +def _zeta_ss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): + data["zeta_ss"] = transforms["zeta"].transform(params["zeta_n"], dz=2) + + return data + + +@register_compute_fun( + name="x", + label="\\mathbf{x}", + units="m", + units_long="meters", + description="Position vector along curve", + dim=3, + params=["surface", "rotmat", "shift"], + transforms={}, + profiles=[], + coordinates="s", + data=["theta", "zeta"], + parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", + basis="basis", +) +def _x_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): + nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T + grid = Grid(nodes, sort=False, jitable=True) + data_surf = params["surface"].compute( + ["R", "phi", "Z"], grid=grid, method="jitable" + ) + coords = jnp.stack([data_surf["R"], data_surf["phi"], data_surf["Z"]], axis=1) + # convert to xyz for displacement and rotation + coords = rpz2xyz(coords) + coords = coords @ params["rotmat"].T + params["shift"][jnp.newaxis, :] + if kwargs.get("basis", "rpz").lower() == "rpz": + coords = xyz2rpz(coords) + data["x"] = coords + return data + + @register_compute_fun( name="x_s", label="\\partial_{s} \\mathbf{x}", @@ -404,6 +582,44 @@ def _x_s_FourierRZCurve(params, transforms, profiles, data, **kwargs): return data +@register_compute_fun( + name="x_s", + label="\\partial_{s} \\mathbf{x}", + units="m", + units_long="meters", + description="Position vector along curve, first derivative", + dim=3, + params=["surface", "rotmat", "shift"], + transforms={}, + profiles=[], + coordinates="s", + data=["theta", "theta_s", "zeta", "zeta_s"], + parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", + basis="basis", +) +def _x_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): + nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T + grid = Grid(nodes, sort=False, jitable=True) + data_surf = params["surface"].compute( + ["R_t", "R_z", "phi", "phi_z", "Z_t", "Z_z"], grid=grid, method="jitable" + ) + coords = jnp.stack( + [ + data_surf["R_t"] * data["theta_s"] + data_surf["R_z"] * data["zeta_s"], + data_surf["phi_t"] * data["theta_s"] + data_surf["phi_z"] * data["zeta_s"], + data_surf["Z_t"] * data["theta_s"] + data_surf["Z_z"] * data["zeta_s"], + ], + axis=1, + ) + # convert to xyz for displacement and rotation + coords = rpz2xyz_vec(coords, phi=data_surf["phi"]) + coords = coords @ params["rotmat"].T + params["shift"][jnp.newaxis, :] + if kwargs.get("basis", "rpz").lower() == "rpz": + coords = xyz2rpz(coords) + data["x_s"] = coords + return data + + @register_compute_fun( name="x_ss", label="\\partial_{ss} \\mathbf{x}", @@ -442,6 +658,64 @@ def _x_ss_FourierRZCurve(params, transforms, profiles, data, **kwargs): return data +# FIXME: finish writing math for this one +@register_compute_fun( + name="x_ss", + label="\\partial_{ss} \\mathbf{x}", + units="m", + units_long="meters", + description="Position vector along curve, second derivative", + dim=3, + params=["surface", "rotmat", "shift"], + transforms={}, + profiles=[], + coordinates="s", + data=["theta", "theta_s", "theta_ss", "zeta", "zeta_s", "zeta_ss"], + parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", + basis="basis", +) +def _x_ss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): + nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T + grid = Grid(nodes, sort=False, jitable=True) + data_surf = params["surface"].compute( + [ + "R_tt", + "R_t", + "R_z", + "R_zz", + "R_tz", + "phi", + "phi_z", + "phi_zz", + "phi_t", + "phi_tt", + "phi_tz", + "Z_tt", + "Z_t", + "Z_z", + "Z_zz", + "Z_tz", + ], + grid=grid, + method="jitable", + ) + coords = jnp.stack( + [ + data_surf["R_t"] * data["theta_s"] + data_surf["R_z"] * data["zeta_s"], + data_surf["phi_t"] * data["theta_s"] + data_surf["phi_z"] * data["zeta_s"], + data_surf["Z_t"] * data["theta_s"] + data_surf["Z_z"] * data["zeta_s"], + ], + axis=1, + ) + # convert to xyz for displacement and rotation + coords = rpz2xyz_vec(coords, phi=data_surf["phi"]) + coords = coords @ params["rotmat"].T + params["shift"][jnp.newaxis, :] + if kwargs.get("basis", "rpz").lower() == "rpz": + coords = xyz2rpz(coords) + data["x_ss"] = coords + return data + + @register_compute_fun( name="x_sss", label="\\partial_{sss} \\mathbf{x}", @@ -480,6 +754,47 @@ def _x_sss_FourierRZCurve(params, transforms, profiles, data, **kwargs): return data +# FIXME: write out math for this one +@register_compute_fun( + name="x_sss", + label="\\partial_{ss} \\mathbf{x}", + units="m", + units_long="meters", + description="Position vector along curve, first derivative", + dim=3, + params=["surface", "rotmat", "shift"], + transforms={}, + profiles=[], + coordinates="s", + data=["theta", "theta_s", "zeta", "zeta_s"], + parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", + basis="basis", +) +def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): + nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T + grid = Grid(nodes, sort=False, jitable=True) + data_surf = params["surface"].compute( + ["R_tt", "R_t", "R_z", "phi", "phi_z", "Z_t", "Z_z"], + grid=grid, + method="jitable", + ) + coords = jnp.stack( + [ + data_surf["R_t"] * data["theta_s"] + data_surf["R_z"] * data["zeta_s"], + data_surf["phi_t"] * data["theta_s"] + data_surf["phi_z"] * data["zeta_s"], + data_surf["Z_t"] * data["theta_s"] + data_surf["Z_z"] * data["zeta_s"], + ], + axis=1, + ) + # convert to xyz for displacement and rotation + coords = rpz2xyz_vec(coords, phi=data_surf["phi"]) + coords = coords @ params["rotmat"].T + params["shift"][jnp.newaxis, :] + if kwargs.get("basis", "rpz").lower() == "rpz": + coords = xyz2rpz(coords) + data["x_s"] = coords + return data + + @register_compute_fun( name="x", label="\\mathbf{x}", diff --git a/desc/compute/data_index.py b/desc/compute/data_index.py index cc91e326ff..989ca82dea 100644 --- a/desc/compute/data_index.py +++ b/desc/compute/data_index.py @@ -184,6 +184,9 @@ def _decorator(func): "desc.geometry.curve.FourierRZCurve": [ "desc.geometry.core.Curve", ], + "desc.geometry.curve.FourierRZWindingSurfaceCurve": [ + "desc.geometry.core.Curve", + ], "desc.geometry.curve.FourierXYZCurve": [ "desc.geometry.core.Curve", ], diff --git a/desc/compute/utils.py b/desc/compute/utils.py index 0cb98628c2..79ce35729f 100644 --- a/desc/compute/utils.py +++ b/desc/compute/utils.py @@ -299,7 +299,11 @@ def get_params(keys, obj, has_axis=False, **kwargs): if isinstance(p, dict): temp_params[name] = p.copy() else: - temp_params[name] = jnp.atleast_1d(p) + try: # maybe we can make it an array + temp_params[name] = jnp.atleast_1d(p) + except TypeError: + # it probably was a class instance instead, copy it + temp_params[name] = p.copy() return temp_params diff --git a/desc/geometry/__init__.py b/desc/geometry/__init__.py index 2806afc37c..49d8bd483b 100644 --- a/desc/geometry/__init__.py +++ b/desc/geometry/__init__.py @@ -1,5 +1,11 @@ """Classes for representing geometric objects like curves and surfaces.""" from .core import Curve, Surface -from .curve import FourierPlanarCurve, FourierRZCurve, FourierXYZCurve, SplineXYZCurve +from .curve import ( + FourierPlanarCurve, + FourierRZCurve, + FourierRZWindingSurfaceCurve, + FourierXYZCurve, + SplineXYZCurve, +) from .surface import FourierRZToroidalSurface, ZernikeRZToroidalSection diff --git a/desc/geometry/curve.py b/desc/geometry/curve.py index 826cea05db..53b14eb7f7 100644 --- a/desc/geometry/curve.py +++ b/desc/geometry/curve.py @@ -854,3 +854,213 @@ def from_values(cls, coords, knots=None, method="cubic", name="", basis="xyz"): return SplineXYZCurve( coords[:, 0], coords[:, 1], coords[:, 2], knots, method, name ) + + +class FourierRZWindingSurfaceCurve(Curve): + """Curve parameterized by Fourier series for theta,zeta in terms of parameter s. + + This curve will lie on the given winding surface, parameterized by a + Fourier series given by Rb_mn and Zb_mn. + + Based off of work by Joao Biu and Rogerio Jorge + https://github.com/hiddenSymmetries/simsopt/pull/289 + + Parameters + ---------- + surface : FourierRZToroidalSurface + Winding surface that the curve will lie on. + theta_n, zeta_n: array-like + Fourier coefficients for theta, zeta in terms of curve parameter s. + modes_theta : array-like, optional + Mode numbers associated with theta_n. If not given defaults to [-n:n]. + modes_zeta : array-like, optional + Mode numbers associated with zeta_n, If not given defaults to [-n:n]]. + sym_theta : {"cos", "sin", False}, optional + Whether to enforce symmetry for the theta(t) Fourier series. Defaults to "sin" + sym_zeta : {"cos", "sin", False}, optional + Whether to enforce symmetry for the zeta(t) Fourier series. Defaults to "sin" + name : str + Name for this curve. + + """ + + _io_attrs_ = Curve._io_attrs_ + [ + "_theta_n", + "_theta_n", + "_theta_basis", + "_zeta_basis", + "_surface", + ] + + def __init__( + self, + surface, + theta_n=1, + zeta_n=1, + modes_theta=None, + modes_zeta=None, + sym_theta="sin", + sym_zeta="sin", + name="", + ): + super().__init__(name) + assert hasattr(surface, "rho"), ( + "surface must be a FourierRZToroidalSurface" + f"object, instead got type {type(surface)}" + ) + self._surface = surface + theta_n, zeta_n = np.atleast_1d(theta_n), np.atleast_1d(zeta_n) + if modes_theta is None: + modes_theta = np.arange(-(theta_n.size // 2), theta_n.size // 2 + 1) + if modes_zeta is None: + modes_zeta = np.arange(-(zeta_n.size // 2), zeta_n.size // 2 + 1) + + if theta_n.size == 0: + raise ValueError("At least 1 coefficient for theta must be supplied") + if zeta_n.size == 0: + zeta_n = np.array([0.0]) + modes_zeta = np.array([0]) + + modes_theta, modes_zeta = np.asarray(modes_theta), np.asarray(modes_zeta) + + assert ( + theta_n.size == modes_theta.size + ), "theta_n size and modes_theta must be the same size" + assert ( + zeta_n.size == modes_zeta.size + ), "zeta_n size and modes_zeta must be the same size" + + assert issubclass(modes_theta.dtype.type, np.integer) + assert issubclass(modes_zeta.dtype.type, np.integer) + + self._sym_theta = sym_theta + self._sym_zeta = sym_zeta + Ntheta = np.max(abs(modes_theta)) + Nzeta = np.max(abs(modes_zeta)) + N = max(Ntheta, Nzeta) + NFP = surface.NFP + self._theta_basis = FourierSeries(N, int(NFP), sym=sym_theta) + self._zeta_basis = FourierSeries(N, int(NFP), sym=sym_zeta) + + self._theta_n = copy_coeffs(theta_n, modes_theta, self.theta_basis.modes[:, 2]) + self._zeta_n = copy_coeffs(zeta_n, modes_zeta, self.zeta_basis.modes[:, 2]) + + @property + def surface(self): + """The surface this curve lies on.""" + return self._surface + + @property + def sym(self): + """Whether the surface this curve lies on has stellarator symmetry.""" + return self.surface.sym + + @property + def sym_theta(self): + """Type of this curve's theta series symmetry.""" + return self._sym_theta + + @property + def sym_zeta(self): + """Type of this curve's zeta series symmetry.""" + return self._sym_zeta + + @property + def theta_basis(self): + """Spectral basis for theta Fourier series.""" + return self._theta_basis + + @property + def zeta_basis(self): + """Spectral basis for zeta Fourier series.""" + return self._zeta_basis + + @property + def NFP(self): + """Number of field periods.""" + return self.surface.NFP + + @property + def N(self): + """Maximum mode number.""" + return max(self.theta_basis.N, self.zeta_basis.N) + + def change_resolution(self, N=None, NFP=None, sym=None): + """Change the maximum toroidal resolution.""" + if ( + ((N is not None) and (N != self.N)) + or ((NFP is not None) and (NFP != self.NFP)) + or (sym is not None) + and (sym != self.sym) + ): + self._NFP = int(NFP if NFP is not None else self.NFP) + self._sym = sym if sym is not None else self.sym + N = int(N if N is not None else self.N) + theta_modes_old = self.theta_basis.modes + zeta_modes_old = self.zeta_basis.modes + self.theta_basis.change_resolution(N=N, NFP=self.NFP, sym=self.sym_theta) + self.zeta_basis.change_resolution(N=N, NFP=self.NFP, sym=self.sym_zeta) + self.theta_n = copy_coeffs( + self.theta_n, theta_modes_old, self.theta_basis.modes + ) + self.zeta_n = copy_coeffs( + self.zeta_n, zeta_modes_old, self.zeta_basis.modes + ) + + def get_coeffs(self, n): + """Get Fourier coefficients for given mode number(s).""" + n = np.atleast_1d(n).astype(int) + theta = np.zeros_like(n).astype(float) + zeta = np.zeros_like(n).astype(float) + + idxtheta = np.where(n[:, np.newaxis] == self.theta_basis.modes[:, 2]) + idxzeta = np.where(n[:, np.newaxis] == self.zeta_basis.modes[:, 2]) + + theta[idxtheta[0]] = self.theta_n[idxtheta[1]] + zeta[idxzeta[0]] = self.zeta_n[idxzeta[1]] + return theta, zeta + + def set_coeffs(self, n, theta=None, zeta=None): + """Set specific Fourier coefficients.""" + n, theta, zeta = np.atleast_1d(n), np.atleast_1d(theta), np.atleast_1d(zeta) + theta = np.broadcast_to(theta, n.shape) + zeta = np.broadcast_to(zeta, n.shape) + for nn, thetatheta, zetazeta in zip(n, theta, zeta): + if thetatheta is not None: + idxtheta = self.theta_basis.get_idx(0, 0, nn) + self.theta_n = put(self.theta_n, idxtheta, thetatheta) + if zetazeta is not None: + idxzeta = self.zeta_basis.get_idx(0, 0, nn) + self.zeta_n = put(self.zeta_n, idxzeta, zetazeta) + + @optimizable_parameter + @property + def theta_n(self): + """Spectral coefficients for theta.""" + return self._theta_n + + @theta_n.setter + def theta_n(self, new): + if len(new) == self.theta_basis.num_modes: + self._theta_n = jnp.asarray(new) + else: + raise ValueError( + f"theta_n should have the same size as the basis, got {len(new)} for " + + f"basis with {self.theta_basis.num_modes} modes." + ) + + @optimizable_parameter + @property + def zeta_n(self): + """Spectral coefficients for zeta.""" + return self._zeta_n + + @zeta_n.setter + def zeta_n(self, new): + if len(new) == self.zeta_basis.num_modes: + self._zeta_n = jnp.asarray(new) + else: + raise ValueError( + f"zeta_n should have the same size as the basis, got {len(new)} for " + + f"basis with {self.zeta_basis.num_modes} modes" + ) From 60eb84bbde03abb9a6955f6a81e9e872c3d50ddc Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Tue, 30 Jan 2024 11:36:28 -0500 Subject: [PATCH 02/21] finish adding x_ss --- desc/compute/_curve.py | 29 +++++++++++++++++++++++------ 1 file changed, 23 insertions(+), 6 deletions(-) diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index 7188d77a47..ed9d424156 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -658,7 +658,6 @@ def _x_ss_FourierRZCurve(params, transforms, profiles, data, **kwargs): return data -# FIXME: finish writing math for this one @register_compute_fun( name="x_ss", label="\\partial_{ss} \\mathbf{x}", @@ -699,12 +698,30 @@ def _x_ss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwa grid=grid, method="jitable", ) + d2R = ( + data_surf["R_tt"] * data["theta_s"] ** 2 + + data_surf["R_zz"] * data["zeta_s"] ** 2 + + 2 * data_surf["R_tz"] * data["zeta_s"] * data["theta_s"] + + data_surf["R_t"] * data["theta_ss"] + + data_surf["R_z"] * data["zeta_ss"] + ) + d2phi = ( + data_surf["phi_tt"] * data["theta_s"] ** 2 + + data_surf["phi_zz"] * data["zeta_s"] ** 2 + + 2 * data_surf["phi_tz"] * data["zeta_s"] * data["theta_s"] + + data_surf["phi_t"] * data["theta_ss"] + + data_surf["phi_z"] * data["zeta_ss"] + ) + d2Z = ( + data_surf["Z_tt"] * data["theta_s"] ** 2 + + data_surf["Z_zz"] * data["zeta_s"] ** 2 + + 2 * data_surf["Z_tz"] * data["zeta_s"] * data["theta_s"] + + data_surf["Z_t"] * data["theta_ss"] + + data_surf["Z_z"] * data["zeta_ss"] + ) + coords = jnp.stack( - [ - data_surf["R_t"] * data["theta_s"] + data_surf["R_z"] * data["zeta_s"], - data_surf["phi_t"] * data["theta_s"] + data_surf["phi_z"] * data["zeta_s"], - data_surf["Z_t"] * data["theta_s"] + data_surf["Z_z"] * data["zeta_s"], - ], + [d2R, d2phi, d2Z], axis=1, ) # convert to xyz for displacement and rotation From e75fa9e0041fbde556f50455de55bedd4e443066 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Tue, 30 Jan 2024 12:04:32 -0500 Subject: [PATCH 03/21] implement x_sss compute function --- desc/compute/_curve.py | 114 +++++++++++++++++++++++++++++++++++++---- 1 file changed, 103 insertions(+), 11 deletions(-) diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index ed9d424156..f2ffaef168 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -771,19 +771,27 @@ def _x_sss_FourierRZCurve(params, transforms, profiles, data, **kwargs): return data -# FIXME: write out math for this one @register_compute_fun( name="x_sss", - label="\\partial_{ss} \\mathbf{x}", + label="\\partial_{sss} \\mathbf{x}", units="m", units_long="meters", - description="Position vector along curve, first derivative", + description="Position vector along curve, third derivative", dim=3, params=["surface", "rotmat", "shift"], transforms={}, profiles=[], coordinates="s", - data=["theta", "theta_s", "zeta", "zeta_s"], + data=[ + "theta", + "theta_s", + "theta_ss", + "theta_sss", + "zeta", + "zeta_s", + "zeta_ss", + "zeta_sss", + ], parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", basis="basis", ) @@ -791,16 +799,100 @@ def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T grid = Grid(nodes, sort=False, jitable=True) data_surf = params["surface"].compute( - ["R_tt", "R_t", "R_z", "phi", "phi_z", "Z_t", "Z_z"], + [ + "R_ttt", + "R_tt", + "R_t", + "R_z", + "R_zz", + "R_zzz", + "R_tz", + "R_ttz", + "R_tzz", + "phi_ttt", + "phi_tt", + "phi_t", + "phi_z", + "phi_zz", + "phi_zzz", + "phi_tz", + "phi_ttz", + "phi_tzz", + "Z_ttt", + "Z_tt", + "Z_t", + "Z_z", + "Z_zz", + "Z_zzz", + "Z_tz", + "Z_ttz", + "Z_tzz", + ], grid=grid, method="jitable", ) + d3R = ( + data["zeta_sss"] * data_surf["R_t"] + + (data["zeta_s"] ** 3) * data_surf["R_zzz"] + + data["theta_sss"] * data_surf["R_t"] + + 3 + * data["theta_s"] + * ( + data["zeta_ss"] * data_surf["R_tz"] + + data["zeta_s"] ** 2 * data_surf["R_tzz"] + + data["theta_ss"] * data_surf["R_tt"] + ) + + 3 + * data["zeta_s"] + * ( + data["zeta_ss"] * data_surf["R_zz"] + + data["theta_ss"] * data_surf["R_tz"] + + data["theta_s"] ** 2 * data_surf["R_ttz"] + ) + + (data["theta_s"] ** 3) * data["R_ttt"] + ) + d3phi = ( + data["zeta_sss"] * data_surf["phi_t"] + + (data["zeta_s"] ** 3) * data_surf["phi_zzz"] + + data["theta_sss"] * data_surf["phi_t"] + + 3 + * data["theta_s"] + * ( + data["zeta_ss"] * data_surf["phi_tz"] + + data["zeta_s"] ** 2 * data_surf["phi_tzz"] + + data["theta_ss"] * data_surf["phi_tt"] + ) + + 3 + * data["zeta_s"] + * ( + data["zeta_ss"] * data_surf["phi_zz"] + + data["theta_ss"] * data_surf["phi_tz"] + + data["theta_s"] ** 2 * data_surf["phi_ttz"] + ) + + (data["theta_s"] ** 3) * data["phi_ttt"] + ) + d3Z = ( + data["zeta_sss"] * data_surf["Z_t"] + + (data["zeta_s"] ** 3) * data_surf["Z_zzz"] + + data["theta_sss"] * data_surf["Z_t"] + + 3 + * data["theta_s"] + * ( + data["zeta_ss"] * data_surf["Z_tz"] + + data["zeta_s"] ** 2 * data_surf["Z_tzz"] + + data["theta_ss"] * data_surf["Z_tt"] + ) + + 3 + * data["zeta_s"] + * ( + data["zeta_ss"] * data_surf["Z_zz"] + + data["theta_ss"] * data_surf["Z_tz"] + + data["theta_s"] ** 2 * data_surf["Z_ttz"] + ) + + (data["theta_s"] ** 3) * data["Z_ttt"] + ) coords = jnp.stack( - [ - data_surf["R_t"] * data["theta_s"] + data_surf["R_z"] * data["zeta_s"], - data_surf["phi_t"] * data["theta_s"] + data_surf["phi_z"] * data["zeta_s"], - data_surf["Z_t"] * data["theta_s"] + data_surf["Z_z"] * data["zeta_s"], - ], + [d3R, d3phi, d3Z], axis=1, ) # convert to xyz for displacement and rotation @@ -808,7 +900,7 @@ def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw coords = coords @ params["rotmat"].T + params["shift"][jnp.newaxis, :] if kwargs.get("basis", "rpz").lower() == "rpz": coords = xyz2rpz(coords) - data["x_s"] = coords + data["x_sss"] = coords return data From dbd85874f0f50d4d30d050053f2fea2a3364ba56 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Tue, 30 Jan 2024 12:11:33 -0500 Subject: [PATCH 04/21] add missing theta_sss and zeta_sss --- desc/compute/_curve.py | 58 +++++++++++++++++++++++++++++++++++++++--- 1 file changed, 54 insertions(+), 4 deletions(-) diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index f2ffaef168..1821a671f1 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -423,10 +423,11 @@ def _theta_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, ** @register_compute_fun( name="theta_ss", - label="\\partial^2_s \\theta", + label="\\partial_{ss} \\theta", units="~", units_long="None", - description="Poloidal angle along the curve, 2nd derivative wrt curve parameter s.", + description="Poloidal angle along the curve, second derivative " + "wrt curve parameter s.", dim=1, params=["theta_n", "surface"], transforms={ @@ -445,6 +446,29 @@ def _theta_ss_FourierRZWindingSurfaceCurve( return data +@register_compute_fun( + name="theta_sss", + label="\\partial_{sss} \\theta", + units="~", + units_long="None", + description="Poloidal angle along the curve, third derivative wrt" + " curve parameter s.", + dim=1, + params=["theta_n", "surface"], + transforms={ + "theta": [[0, 0, 3]], + }, + profiles=[], + coordinates="s", + data=[], + parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", +) +def _theta_sss_FourierRZWindingSurfaceCurve( + params, transforms, profiles, data, **kwargs +): + data["theta_sss"] = transforms["theta"].transform(params["theta_n"], dz=3) + + @register_compute_fun( name="zeta", label="\\theta", @@ -497,10 +521,11 @@ def _zeta_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **k @register_compute_fun( name="zeta_ss", - label="\\partial^2_s \\zeta", + label="\\partial_{ss} \\zeta", units="~", units_long="None", - description="Toroidal angle along the curve, 2nd derivative wrt curve parameter s.", + description="Toroidal angle along the curve, second derivative" + " wrt curve parameter s.", dim=1, params=["zeta_n", "surface"], transforms={ @@ -517,6 +542,31 @@ def _zeta_ss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, ** return data +@register_compute_fun( + name="zeta_sss", + label="\\partial_{sss} \\zeta", + units="~", + units_long="None", + description="Toroidal angle along the curve, third derivative" + " wrt curve parameter s.", + dim=1, + params=["zeta_n", "surface"], + transforms={ + "zeta": [[0, 0, 3]], + }, + profiles=[], + coordinates="s", + data=[], + parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", +) +def _zeta_sss_FourierRZWindingSurfaceCurve( + params, transforms, profiles, data, **kwargs +): + data["zeta_sss"] = transforms["zeta"].transform(params["zeta_n"], dz=3) + + return data + + @register_compute_fun( name="x", label="\\mathbf{x}", From bc100b58f5307f39836f310535b982985f3bc602 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Thu, 1 Feb 2024 01:58:27 -0500 Subject: [PATCH 05/21] add coil class --- desc/coils.py | 62 ++++++++++++++++++++++++++++++++++++++++++ desc/compute/_curve.py | 32 +++++++++++----------- desc/geometry/curve.py | 32 ++++++++++++++++++++++ 3 files changed, 110 insertions(+), 16 deletions(-) diff --git a/desc/coils.py b/desc/coils.py index afef9a87fc..f91c68ff3d 100644 --- a/desc/coils.py +++ b/desc/coils.py @@ -11,6 +11,8 @@ from desc.geometry import ( FourierPlanarCurve, FourierRZCurve, + FourierRZToroidalSurface, + FourierRZWindingSurfaceCurve, FourierXYZCurve, SplineXYZCurve, ) @@ -345,6 +347,66 @@ def __init__( super().__init__(current, R_n, Z_n, modes_R, modes_Z, NFP, sym, name) +class FourierRZWindingSurfaceCoil(_Coil, FourierRZWindingSurfaceCurve): + """Coil parameterized by Fourier series for theta,zeta in terms of parameter s. + + This curve will lie on the given winding surface, parameterized by a + Fourier series given by Rb_mn and Zb_mn. + + Parameters + ---------- + current : float + current through coil, in Amperes + surface : FourierRZToroidalSurface + Winding surface that the coil will lie on. + theta_n, zeta_n: array-like + Fourier coefficients for theta, zeta in terms of curve parameter s. + modes_theta : array-like, optional + Mode numbers associated with theta_n. If not given defaults to [-n:n]. + modes_zeta : array-like, optional + Mode numbers associated with zeta_n, If not given defaults to [-n:n]]. + sym_theta : {"cos", "sin", False}, optional + Whether to enforce symmetry for the theta(t) Fourier series. Defaults to "sin" + sym_zeta : {"cos", "sin", False}, optional + Whether to enforce symmetry for the zeta(t) Fourier series. Defaults to "sin" + name : str + Name for this coil. + + """ + + _io_attrs_ = _Coil._io_attrs_ + FourierRZWindingSurfaceCurve._io_attrs_ + + def __init__( + self, + current=1, + surface=None, + theta_n=1, + zeta_n=1, + secular_theta=1.0, + secular_zeta=1.0, + modes_theta=None, + modes_zeta=None, + sym_theta="sin", + sym_zeta="sin", + name="", + ): + if surface is None: + surface = FourierRZToroidalSurface() + super().__init__( + current, + surface, + theta_n, + zeta_n, + secular_theta, + secular_zeta, + modes_theta, + modes_zeta, + sym_theta, + sym_zeta, + name, + ) + + class FourierXYZCoil(_Coil, FourierXYZCurve): """Coil parameterized by fourier series for X,Y,Z in terms of arbitrary angle s. diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index 1821a671f1..5203aba081 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -378,7 +378,7 @@ def _x_FourierRZCurve(params, transforms, profiles, data, **kwargs): units_long="None", description="Poloidal angle along the curve.", dim=1, - params=["theta_n", "surface"], + params=["theta_n", "surface", "secular_theta"], transforms={ "theta": [[0, 0, 0]], "grid": [], @@ -389,9 +389,9 @@ def _x_FourierRZCurve(params, transforms, profiles, data, **kwargs): parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", ) def _theta_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): - data["theta"] = transforms["grid"].nodes[:, 2] + transforms["theta"].transform( - params["theta_n"], dz=0 - ) + data["theta"] = params["secular_theta"] * transforms["grid"].nodes[ + :, 2 + ] + transforms["theta"].transform(params["theta_n"], dz=0) return data @@ -403,7 +403,7 @@ def _theta_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw units_long="None", description="Poloidal angle along the curve, derivative wrt curve parameter s.", dim=1, - params=["theta_n", "surface"], + params=["theta_n", "surface", "secular_theta"], transforms={ "theta": [[0, 0, 1]], "grid": [], @@ -414,9 +414,9 @@ def _theta_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", ) def _theta_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): - data["theta_s"] = jnp.ones_like(transforms["grid"].nodes[:, 2]) + transforms[ - "theta" - ].transform(params["theta_n"], dz=1) + data["theta_s"] = params["secular_theta"] * jnp.ones_like( + transforms["grid"].nodes[:, 2] + ) + transforms["theta"].transform(params["theta_n"], dz=1) return data @@ -476,7 +476,7 @@ def _theta_sss_FourierRZWindingSurfaceCurve( units_long="None", description="Toroidal angle along the curve.", dim=1, - params=["zeta_n", "surface"], + params=["zeta_n", "surface", "secular_zeta"], transforms={ "zeta": [[0, 0, 0]], "grid": [], @@ -487,9 +487,9 @@ def _theta_sss_FourierRZWindingSurfaceCurve( parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", ) def _zeta_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): - data["zeta"] = transforms["grid"].nodes[:, 2] + transforms["zeta"].transform( - params["zeta_n"], dz=0 - ) + data["zeta"] = params["secular_zeta"] * transforms["grid"].nodes[:, 2] + transforms[ + "zeta" + ].transform(params["zeta_n"], dz=0) return data @@ -501,7 +501,7 @@ def _zeta_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwa units_long="None", description="Toroidal angle along the curve, derivative wrt curve parameter s.", dim=1, - params=["zeta_n", "surface"], + params=["zeta_n", "surface", "secular_zeta"], transforms={ "zeta": [[0, 0, 1]], "grid": [], @@ -512,9 +512,9 @@ def _zeta_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwa parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", ) def _zeta_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): - data["zeta_s"] = jnp.ones_like(transforms["grid"].nodes[:, 2]) + transforms[ - "zeta" - ].transform(params["zeta_n"], dz=1) + data["zeta_s"] = params["secular_zeta"] * jnp.ones_like( + transforms["grid"].nodes[:, 2] + ) + transforms["zeta"].transform(params["zeta_n"], dz=1) return data diff --git a/desc/geometry/curve.py b/desc/geometry/curve.py index 53b14eb7f7..ac4714ae40 100644 --- a/desc/geometry/curve.py +++ b/desc/geometry/curve.py @@ -871,6 +871,12 @@ class FourierRZWindingSurfaceCurve(Curve): Winding surface that the curve will lie on. theta_n, zeta_n: array-like Fourier coefficients for theta, zeta in terms of curve parameter s. + secular_theta : float, optional + secular term in theta(t) series, defaults to 1.0 + if 0, curve will not close poloidally, only toroidally. + secular_zeta : float, optional + secular term in zeta(t) series, defaults to 1.0 + if 0, curve will not close toroidally, only poloidally modes_theta : array-like, optional Mode numbers associated with theta_n. If not given defaults to [-n:n]. modes_zeta : array-like, optional @@ -887,6 +893,8 @@ class FourierRZWindingSurfaceCurve(Curve): _io_attrs_ = Curve._io_attrs_ + [ "_theta_n", "_theta_n", + "_secular_theta", + "_secular_zeta", "_theta_basis", "_zeta_basis", "_surface", @@ -897,6 +905,8 @@ def __init__( surface, theta_n=1, zeta_n=1, + secular_theta=1.0, + secular_zeta=1.0, modes_theta=None, modes_zeta=None, sym_theta="sin", @@ -944,6 +954,8 @@ def __init__( self._theta_n = copy_coeffs(theta_n, modes_theta, self.theta_basis.modes[:, 2]) self._zeta_n = copy_coeffs(zeta_n, modes_zeta, self.zeta_basis.modes[:, 2]) + self._secular_theta = float(secular_theta) + self._secular_zeta = float(secular_zeta) @property def surface(self): @@ -1064,3 +1076,23 @@ def zeta_n(self, new): f"zeta_n should have the same size as the basis, got {len(new)} for " + f"basis with {self.zeta_basis.num_modes} modes" ) + + @optimizable_parameter + @property + def secular_theta(self): + """Secular (in t) coefficient for theta.""" + return self._theta_n + + @secular_theta.setter + def secular_theta(self, new): + self._secular_theta = float(new) + + @optimizable_parameter + @property + def secular_zeta(self): + """Secular (in t) coefficient for zeta.""" + return self._zeta_n + + @secular_zeta.setter + def secular_zeta(self, new): + self._secular_zeta = float(new) From b4ca09f7bfbb91cfa052ee6e01234c7bc1747e75 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Thu, 1 Feb 2024 02:08:52 -0500 Subject: [PATCH 06/21] fix secular terms in curve class --- desc/geometry/curve.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/desc/geometry/curve.py b/desc/geometry/curve.py index ac4714ae40..d7408b1e04 100644 --- a/desc/geometry/curve.py +++ b/desc/geometry/curve.py @@ -1081,7 +1081,7 @@ def zeta_n(self, new): @property def secular_theta(self): """Secular (in t) coefficient for theta.""" - return self._theta_n + return self._secular_theta @secular_theta.setter def secular_theta(self, new): @@ -1091,7 +1091,7 @@ def secular_theta(self, new): @property def secular_zeta(self): """Secular (in t) coefficient for zeta.""" - return self._zeta_n + return self._secular_zeta @secular_zeta.setter def secular_zeta(self, new): From 3d15a303e5beb14361f027c69d948a62bb569a37 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Thu, 1 Feb 2024 02:28:08 -0500 Subject: [PATCH 07/21] add inheritance to FourierRZWindingSurfaceCoil to data index --- desc/compute/data_index.py | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/desc/compute/data_index.py b/desc/compute/data_index.py index 989ca82dea..09a2b9538f 100644 --- a/desc/compute/data_index.py +++ b/desc/compute/data_index.py @@ -206,6 +206,10 @@ def _decorator(func): "desc.geometry.curve.FourierRZCurve", "desc.geometry.core.Curve", ], + "desc.coils.FourierRZWindingSurfaceCoil": [ + "desc.geometry.curve.FourierRZWindingSurfaceCurve", + "desc.geometry.core.Curve", + ], "desc.coils.FourierXYZCoil": [ "desc.geometry.curve.FourierXYZCurve", "desc.geometry.core.Curve", From 0a3f8825895351384d259c42a09d8c322c858c67 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Thu, 1 Feb 2024 02:59:26 -0500 Subject: [PATCH 08/21] remove extra params --- desc/compute/_curve.py | 18 ++++++++++-------- 1 file changed, 10 insertions(+), 8 deletions(-) diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index 5203aba081..ce6efad477 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -378,7 +378,7 @@ def _x_FourierRZCurve(params, transforms, profiles, data, **kwargs): units_long="None", description="Poloidal angle along the curve.", dim=1, - params=["theta_n", "surface", "secular_theta"], + params=["theta_n", "secular_theta"], transforms={ "theta": [[0, 0, 0]], "grid": [], @@ -403,7 +403,7 @@ def _theta_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw units_long="None", description="Poloidal angle along the curve, derivative wrt curve parameter s.", dim=1, - params=["theta_n", "surface", "secular_theta"], + params=["theta_n", "secular_theta"], transforms={ "theta": [[0, 0, 1]], "grid": [], @@ -429,7 +429,7 @@ def _theta_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, ** description="Poloidal angle along the curve, second derivative " "wrt curve parameter s.", dim=1, - params=["theta_n", "surface"], + params=["theta_n"], transforms={ "theta": [[0, 0, 2]], }, @@ -454,7 +454,9 @@ def _theta_ss_FourierRZWindingSurfaceCurve( description="Poloidal angle along the curve, third derivative wrt" " curve parameter s.", dim=1, - params=["theta_n", "surface"], + params=[ + "theta_n", + ], transforms={ "theta": [[0, 0, 3]], }, @@ -476,7 +478,7 @@ def _theta_sss_FourierRZWindingSurfaceCurve( units_long="None", description="Toroidal angle along the curve.", dim=1, - params=["zeta_n", "surface", "secular_zeta"], + params=["zeta_n", "secular_zeta"], transforms={ "zeta": [[0, 0, 0]], "grid": [], @@ -501,7 +503,7 @@ def _zeta_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwa units_long="None", description="Toroidal angle along the curve, derivative wrt curve parameter s.", dim=1, - params=["zeta_n", "surface", "secular_zeta"], + params=["zeta_n", "secular_zeta"], transforms={ "zeta": [[0, 0, 1]], "grid": [], @@ -527,7 +529,7 @@ def _zeta_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **k description="Toroidal angle along the curve, second derivative" " wrt curve parameter s.", dim=1, - params=["zeta_n", "surface"], + params=["zeta_n"], transforms={ "zeta": [[0, 0, 2]], }, @@ -550,7 +552,7 @@ def _zeta_ss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, ** description="Toroidal angle along the curve, third derivative" " wrt curve parameter s.", dim=1, - params=["zeta_n", "surface"], + params=["zeta_n"], transforms={ "zeta": [[0, 0, 3]], }, From 973998748258799c531740433e96f72a916624f9 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Thu, 1 Feb 2024 19:07:25 -0500 Subject: [PATCH 09/21] correct typos in compute function --- desc/compute/_curve.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index ce6efad477..57cce184be 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -901,7 +901,7 @@ def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw + data["theta_ss"] * data_surf["R_tz"] + data["theta_s"] ** 2 * data_surf["R_ttz"] ) - + (data["theta_s"] ** 3) * data["R_ttt"] + + (data["theta_s"] ** 3) * data_surf["R_ttt"] ) d3phi = ( data["zeta_sss"] * data_surf["phi_t"] @@ -921,7 +921,7 @@ def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw + data["theta_ss"] * data_surf["phi_tz"] + data["theta_s"] ** 2 * data_surf["phi_ttz"] ) - + (data["theta_s"] ** 3) * data["phi_ttt"] + + (data["theta_s"] ** 3) * data_surf["phi_ttt"] ) d3Z = ( data["zeta_sss"] * data_surf["Z_t"] @@ -941,7 +941,7 @@ def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw + data["theta_ss"] * data_surf["Z_tz"] + data["theta_s"] ** 2 * data_surf["Z_ttz"] ) - + (data["theta_s"] ** 3) * data["Z_ttt"] + + (data["theta_s"] ** 3) * data_surf["Z_ttt"] ) coords = jnp.stack( [d3R, d3phi, d3Z], From 3a73214cff33f34648c73ac2a7907560181d1b94 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Tue, 6 Feb 2024 23:26:35 -0500 Subject: [PATCH 10/21] fix compute quantities, add tests for the new curve class --- desc/compute/_curve.py | 145 +++++++++++++++++++++++++---------------- desc/geometry/curve.py | 14 ++-- tests/test_curves.py | 124 +++++++++++++++++++++++++++++++++++ 3 files changed, 223 insertions(+), 60 deletions(-) diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index 57cce184be..bdf24775f2 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -641,8 +641,8 @@ def _x_s_FourierRZCurve(params, transforms, profiles, data, **kwargs): units_long="meters", description="Position vector along curve, first derivative", dim=3, - params=["surface", "rotmat", "shift"], - transforms={}, + params=["rotmat", "shift"], + transforms={"surface": []}, profiles=[], coordinates="s", data=["theta", "theta_s", "zeta", "zeta_s"], @@ -652,9 +652,14 @@ def _x_s_FourierRZCurve(params, transforms, profiles, data, **kwargs): def _x_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T grid = Grid(nodes, sort=False, jitable=True) - data_surf = params["surface"].compute( - ["R_t", "R_z", "phi", "phi_z", "Z_t", "Z_z"], grid=grid, method="jitable" + data_surf = transforms["surface"].compute( + ["e_theta", "e_zeta", "phi", "phi_z", "phi_t"], grid=grid, method="jitable" ) + data_surf["R_t"] = data_surf["e_theta"][:, 0] + data_surf["Z_t"] = data_surf["e_theta"][:, 2] + data_surf["R_z"] = data_surf["e_zeta"][:, 0] + data_surf["Z_z"] = data_surf["e_zeta"][:, 2] + coords = jnp.stack( [ data_surf["R_t"] * data["theta_s"] + data_surf["R_z"] * data["zeta_s"], @@ -665,9 +670,9 @@ def _x_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwar ) # convert to xyz for displacement and rotation coords = rpz2xyz_vec(coords, phi=data_surf["phi"]) - coords = coords @ params["rotmat"].T + params["shift"][jnp.newaxis, :] + coords = coords @ params["rotmat"].T if kwargs.get("basis", "rpz").lower() == "rpz": - coords = xyz2rpz(coords) + coords = xyz2rpz_vec(coords, phi=data_surf["phi"]) data["x_s"] = coords return data @@ -717,8 +722,8 @@ def _x_ss_FourierRZCurve(params, transforms, profiles, data, **kwargs): units_long="meters", description="Position vector along curve, second derivative", dim=3, - params=["surface", "rotmat", "shift"], - transforms={}, + params=["rotmat", "shift"], + transforms={"surface": []}, profiles=[], coordinates="s", data=["theta", "theta_s", "theta_ss", "zeta", "zeta_s", "zeta_ss"], @@ -728,28 +733,38 @@ def _x_ss_FourierRZCurve(params, transforms, profiles, data, **kwargs): def _x_ss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T grid = Grid(nodes, sort=False, jitable=True) - data_surf = params["surface"].compute( + data_surf = transforms["surface"].compute( [ - "R_tt", - "R_t", - "R_z", - "R_zz", - "R_tz", + "e_theta", + "e_theta_t", + "e_theta_z", + "e_zeta", + "e_zeta_t", + "e_zeta_z", "phi", "phi_z", - "phi_zz", "phi_t", - "phi_tt", - "phi_tz", - "Z_tt", - "Z_t", - "Z_z", - "Z_zz", - "Z_tz", ], grid=grid, method="jitable", + basis="rpz", ) + # first derivs + data_surf["R_t"] = data_surf["e_theta"][:, 0] + data_surf["Z_t"] = data_surf["e_theta"][:, 2] + data_surf["R_z"] = data_surf["e_zeta"][:, 0] + data_surf["Z_z"] = data_surf["e_zeta"][:, 2] + # second derivs + data_surf["R_tt"] = data_surf["e_theta_t"][:, 0] + data_surf["phi_tt"] = data_surf["e_theta_t"][:, 1] + data_surf["Z_tt"] = data_surf["e_theta_t"][:, 2] + data_surf["R_tz"] = data_surf["e_theta_z"][:, 0] + data_surf["phi_tz"] = data_surf["e_theta_z"][:, 1] + data_surf["Z_tz"] = data_surf["e_theta_z"][:, 2] + data_surf["R_zz"] = data_surf["e_zeta_z"][:, 0] + data_surf["phi_zz"] = data_surf["e_zeta_z"][:, 1] + data_surf["Z_zz"] = data_surf["e_zeta_z"][:, 2] + d2R = ( data_surf["R_tt"] * data["theta_s"] ** 2 + data_surf["R_zz"] * data["zeta_s"] ** 2 @@ -778,9 +793,9 @@ def _x_ss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwa ) # convert to xyz for displacement and rotation coords = rpz2xyz_vec(coords, phi=data_surf["phi"]) - coords = coords @ params["rotmat"].T + params["shift"][jnp.newaxis, :] + coords = coords @ params["rotmat"].T if kwargs.get("basis", "rpz").lower() == "rpz": - coords = xyz2rpz(coords) + coords = xyz2rpz_vec(coords, phi=data_surf["phi"]) data["x_ss"] = coords return data @@ -830,8 +845,8 @@ def _x_sss_FourierRZCurve(params, transforms, profiles, data, **kwargs): units_long="meters", description="Position vector along curve, third derivative", dim=3, - params=["surface", "rotmat", "shift"], - transforms={}, + params=["rotmat", "shift"], + transforms={"surface": []}, profiles=[], coordinates="s", data=[ @@ -850,39 +865,58 @@ def _x_sss_FourierRZCurve(params, transforms, profiles, data, **kwargs): def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T grid = Grid(nodes, sort=False, jitable=True) - data_surf = params["surface"].compute( + + data_surf = transforms["surface"].compute( [ - "R_ttt", - "R_tt", - "R_t", - "R_z", - "R_zz", - "R_zzz", - "R_tz", - "R_ttz", - "R_tzz", - "phi_ttt", - "phi_tt", - "phi_t", + "e_theta", + "e_theta_t", + "e_theta_z", + "e_theta_tt", + "e_theta_tz", + "e_theta_zz", + "e_zeta", + "e_zeta_t", + "e_zeta_z", + "e_zeta_tt", + "e_zeta_tz", + "e_zeta_zz", + "phi", "phi_z", - "phi_zz", - "phi_zzz", - "phi_tz", - "phi_ttz", - "phi_tzz", - "Z_ttt", - "Z_tt", - "Z_t", - "Z_z", - "Z_zz", - "Z_zzz", - "Z_tz", - "Z_ttz", - "Z_tzz", + "phi_t", ], grid=grid, method="jitable", + basis="rpz", ) + # first derivs + data_surf["R_t"] = data_surf["e_theta"][:, 0] + data_surf["Z_t"] = data_surf["e_theta"][:, 2] + data_surf["R_z"] = data_surf["e_zeta"][:, 0] + data_surf["Z_z"] = data_surf["e_zeta"][:, 2] + # second derivs + data_surf["R_tt"] = data_surf["e_theta_t"][:, 0] + data_surf["phi_tt"] = data_surf["e_theta_t"][:, 1] + data_surf["Z_tt"] = data_surf["e_theta_t"][:, 2] + data_surf["R_tz"] = data_surf["e_theta_z"][:, 0] + data_surf["phi_tz"] = data_surf["e_theta_z"][:, 1] + data_surf["Z_tz"] = data_surf["e_theta_z"][:, 2] + data_surf["R_zz"] = data_surf["e_zeta_z"][:, 0] + data_surf["phi_zz"] = data_surf["e_zeta_z"][:, 1] + data_surf["Z_zz"] = data_surf["e_zeta_z"][:, 2] + # third derivs + data_surf["R_ttt"] = data_surf["e_theta_tt"][:, 0] + data_surf["phi_ttt"] = data_surf["e_theta_tt"][:, 1] + data_surf["Z_ttt"] = data_surf["e_theta_tt"][:, 2] + data_surf["R_ttz"] = data_surf["e_theta_tz"][:, 0] + data_surf["phi_ttz"] = data_surf["e_theta_tz"][:, 1] + data_surf["Z_ttz"] = data_surf["e_theta_tz"][:, 2] + data_surf["R_tzz"] = data_surf["e_zeta_tz"][:, 0] + data_surf["phi_tzz"] = data_surf["e_zeta_tz"][:, 1] + data_surf["Z_tzz"] = data_surf["e_zeta_tz"][:, 2] + data_surf["R_zzz"] = data_surf["e_zeta_zz"][:, 0] + data_surf["phi_zzz"] = data_surf["e_zeta_zz"][:, 1] + data_surf["Z_zzz"] = data_surf["e_zeta_zz"][:, 2] + d3R = ( data["zeta_sss"] * data_surf["R_t"] + (data["zeta_s"] ** 3) * data_surf["R_zzz"] @@ -949,9 +983,9 @@ def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw ) # convert to xyz for displacement and rotation coords = rpz2xyz_vec(coords, phi=data_surf["phi"]) - coords = coords @ params["rotmat"].T + params["shift"][jnp.newaxis, :] + coords = coords @ params["rotmat"].T if kwargs.get("basis", "rpz").lower() == "rpz": - coords = xyz2rpz(coords) + coords = xyz2rpz_vec(coords, phi=data_surf["phi"]) data["x_sss"] = coords return data @@ -1512,6 +1546,7 @@ def _torsion(params, transforms, profiles, data, **kwargs): data=["ds", "x_s"], parameterization=[ "desc.geometry.curve.FourierRZCurve", + "desc.geometry.curve.FourierRZWindingSurfaceCurve", "desc.geometry.curve.FourierXYZCurve", "desc.geometry.curve.FourierPlanarCurve", ], diff --git a/desc/geometry/curve.py b/desc/geometry/curve.py index f72b84b770..389150be2a 100644 --- a/desc/geometry/curve.py +++ b/desc/geometry/curve.py @@ -878,7 +878,7 @@ class FourierRZWindingSurfaceCurve(Curve): secular term in theta(t) series, defaults to 1.0 if 0, curve will not close poloidally, only toroidally. secular_zeta : float, optional - secular term in zeta(t) series, defaults to 1.0 + secular term in zeta(t) series, defaults to 0.0 if 0, curve will not close toroidally, only poloidally modes_theta : array-like, optional Mode numbers associated with theta_n. If not given defaults to [-n:n]. @@ -905,11 +905,11 @@ class FourierRZWindingSurfaceCurve(Curve): def __init__( self, - surface, - theta_n=1, - zeta_n=1, + surface=None, + theta_n=[0], + zeta_n=[0], secular_theta=1.0, - secular_zeta=1.0, + secular_zeta=0.0, modes_theta=None, modes_zeta=None, sym_theta="sin", @@ -917,6 +917,10 @@ def __init__( name="", ): super().__init__(name) + if surface is None: + from .surface import FourierRZToroidalSurface + + surface = FourierRZToroidalSurface() assert hasattr(surface, "rho"), ( "surface must be a FourierRZToroidalSurface" f"object, instead got type {type(surface)}" diff --git a/tests/test_curves.py b/tests/test_curves.py index 356bf83cd1..72d0cb1eb5 100644 --- a/tests/test_curves.py +++ b/tests/test_curves.py @@ -7,6 +7,7 @@ from desc.geometry import ( FourierPlanarCurve, FourierRZCurve, + FourierRZWindingSurfaceCurve, FourierXYZCurve, SplineXYZCurve, ) @@ -254,6 +255,129 @@ def test_from_input_file(self): np.testing.assert_allclose(curve3.sym, curve4.sym) +class TestRZWindingSurfaceCurve: + """Tests for FourierRZWindingSurfaceCurve class.""" + + @pytest.mark.unit + def test_length(self): + """Test length of circular curve.""" + c = FourierRZWindingSurfaceCurve() + # by default the curve is a poloidally closed curve at constant zeta + a = 1 # default minor radius of the surface + np.testing.assert_allclose( + c.compute("length", grid=20)["length"], a * 2 * np.pi + ) + c.translate([1, 1, 1]) + c.rotate(angle=np.pi) + c.flip([0, 1, 0]) + np.testing.assert_allclose( + c.compute("length", grid=20)["length"], a * 2 * np.pi + ) + + @pytest.mark.unit + def test_curvature(self): + """Test curvature of circular curve.""" + c = FourierRZWindingSurfaceCurve() + # by default the curve is a poloidally closed curve at constant zeta + a = 1 # default minor radius of the surface + np.testing.assert_allclose(c.compute("curvature", grid=20)["curvature"], 1 / a) + c.translate([1, 1, 1]) + c.rotate(angle=np.pi) + c.flip([0, 1, 0]) + np.testing.assert_allclose(c.compute("curvature", grid=20)["curvature"], 1 / a) + + @pytest.mark.unit + def test_torsion(self): + """Test torsion of circular curve.""" + c = FourierRZWindingSurfaceCurve() + # by default the curve is a poloidally closed curve at constant zeta + np.testing.assert_allclose(c.compute("torsion", grid=20)["torsion"], 0) + c.translate([1, 1, 1]) + c.rotate(angle=np.pi) + c.flip([0, 1, 0]) + np.testing.assert_allclose(c.compute("torsion", grid=20)["torsion"], 0) + + @pytest.mark.unit + def test_frenet(self): + """Test frenet-serret frame of circular curve.""" + c = FourierRZWindingSurfaceCurve(secular_theta=0.0, secular_zeta=1.0) + # the curve is a toroidally closed curve at constant theta + data = c.compute( + ["frenet_tangent", "frenet_normal", "frenet_binormal"], basis="rpz", grid=0 + ) + T, N, B = data["frenet_tangent"], data["frenet_normal"], data["frenet_binormal"] + np.testing.assert_allclose(T, np.array([[0, 1, 0]]), atol=1e-12) + np.testing.assert_allclose(N, np.array([[-1, 0, 0]]), atol=1e-12) + np.testing.assert_allclose(B, np.array([[0, 0, 1]]), atol=1e-12) + c.rotate(angle=np.pi) + c.flip([0, 1, 0]) + c.translate([1, 1, 1]) + data = c.compute( + ["frenet_tangent", "frenet_normal", "frenet_binormal"], basis="xyz", grid=0 + ) + T, N, B = data["frenet_tangent"], data["frenet_normal"], data["frenet_binormal"] + np.testing.assert_allclose(T, np.array([[0, 1, 0]]), atol=1e-12) + np.testing.assert_allclose(N, np.array([[1, 0, 0]]), atol=1e-12) + np.testing.assert_allclose(B, np.array([[0, 0, 1]]), atol=1e-12) + + @pytest.mark.unit + def test_coords(self): + """Test lab frame coordinates of circular curve.""" + c = FourierRZWindingSurfaceCurve(secular_theta=0.0, secular_zeta=1.0) + # the curve is a toroidally closed curve at constant theta + x, y, z = c.compute("x", grid=0, basis="xyz")["x"].T + np.testing.assert_allclose(x, 11) + np.testing.assert_allclose(y, 0) + np.testing.assert_allclose(z, 0) + + @pytest.mark.unit + def test_misc(self): + """Test getting/setting misc attributes of FourierRZWindingSurfaceCurve.""" + c = FourierRZWindingSurfaceCurve() + + theta_n, zeta_n = c.get_coeffs(0) + np.testing.assert_allclose(theta_n, 0) + np.testing.assert_allclose(zeta_n, 0) + c.set_coeffs(0, 5, None) + np.testing.assert_allclose(c.theta_n, [5]) + np.testing.assert_allclose(c.zeta_n, []) + + s = c.copy() + assert s.eq(c) + + c.change_resolution(5) + assert c.N == 5 + c.set_coeffs(-1, None, 2) + np.testing.assert_allclose(c.theta_n, [5, 0, 0, 0, 0, 0]) + np.testing.assert_allclose(c.zeta_n, [0, 0, 0, 0, 2]) + + with pytest.raises(ValueError): + c.theta_n = s.theta_n + with pytest.raises(ValueError): + c.zeta_n = s.zeta_n + + c.name = "my curve" + assert "my" in c.name + assert c.name in str(c) + assert "FourierRZWindingSurfaceCurve" in str(c) + assert c.sym + + c.NFP = 3 + assert c.NFP == 3 + assert c.R_basis.NFP == 3 + assert c.Z_basis.NFP == 3 + + @pytest.mark.unit + def test_asserts(self): + """Test error checking when creating FourierRZWindingSurfaceCurve.""" + with pytest.raises(ValueError): + _ = FourierRZWindingSurfaceCurve(theta_n=[]) + with pytest.raises(AssertionError): + _ = FourierRZWindingSurfaceCurve(theta_n=[1], modes_theta=[1, 2]) + with pytest.raises(AssertionError): + _ = FourierRZWindingSurfaceCurve(zeta_n=[1], modes_zeta=[1, 2]) + + class TestFourierXYZCurve: """Tests for FourierXYZCurve class.""" From 9fed838bf99857705df4503fb197005a6080aab1 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Wed, 7 Feb 2024 01:01:30 -0500 Subject: [PATCH 11/21] fix bug where did not return data, need to still figure out correct way to get the higher order derivatives for winding surface curve --- desc/compute/_curve.py | 9 ++-- desc/compute/_surface.py | 91 ++++++++++++++++++++++++++++++++++++++++ 2 files changed, 95 insertions(+), 5 deletions(-) diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index bdf24775f2..9ede9160a2 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -469,6 +469,7 @@ def _theta_sss_FourierRZWindingSurfaceCurve( params, transforms, profiles, data, **kwargs ): data["theta_sss"] = transforms["theta"].transform(params["theta_n"], dz=3) + return data @register_compute_fun( @@ -877,8 +878,6 @@ def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw "e_zeta", "e_zeta_t", "e_zeta_z", - "e_zeta_tt", - "e_zeta_tz", "e_zeta_zz", "phi", "phi_z", @@ -910,9 +909,9 @@ def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw data_surf["R_ttz"] = data_surf["e_theta_tz"][:, 0] data_surf["phi_ttz"] = data_surf["e_theta_tz"][:, 1] data_surf["Z_ttz"] = data_surf["e_theta_tz"][:, 2] - data_surf["R_tzz"] = data_surf["e_zeta_tz"][:, 0] - data_surf["phi_tzz"] = data_surf["e_zeta_tz"][:, 1] - data_surf["Z_tzz"] = data_surf["e_zeta_tz"][:, 2] + data_surf["R_tzz"] = data_surf["e_theta_zz"][:, 0] + data_surf["phi_tzz"] = data_surf["e_theta_zz"][:, 1] + data_surf["Z_tzz"] = data_surf["e_theta_zz"][:, 2] data_surf["R_zzz"] = data_surf["e_zeta_zz"][:, 0] data_surf["phi_zzz"] = data_surf["e_zeta_zz"][:, 1] data_surf["Z_zzz"] = data_surf["e_zeta_zz"][:, 2] diff --git a/desc/compute/_surface.py b/desc/compute/_surface.py index 2b87cab2bf..2bf1bfe679 100644 --- a/desc/compute/_surface.py +++ b/desc/compute/_surface.py @@ -475,6 +475,67 @@ def _e_theta_t_FourierRZToroidalSurface(params, transforms, profiles, data, **kw return data +@register_compute_fun( + name="e_theta_tt", + label="\\partial^2_{\\theta} \\mathbf{e}_{\\theta\\theta}", + units="m", + units_long="meters", + description="Covariant poloidal basis vector, 2nd derivative wrt poloidal angle", + dim=3, + params=["R_lmn", "Z_lmn"], + transforms={ + "R": [[0, 3, 0]], + "Z": [[0, 3, 0]], + "grid": [], + }, + profiles=[], + coordinates="tz", + data=[], + parameterization="desc.geometry.surface.FourierRZToroidalSurface", + basis="basis", +) +def _e_theta_tt_FourierRZToroidalSurface(params, transforms, profiles, data, **kwargs): + R = transforms["R"].transform(params["R_lmn"], dt=3) + Z = transforms["Z"].transform(params["Z_lmn"], dt=3) + phi = jnp.zeros(transforms["grid"].num_nodes) + coords = jnp.stack([R, phi, Z], axis=1) + if kwargs.get("basis", "rpz").lower() == "xyz": + coords = rpz2xyz_vec(coords, phi=transforms["grid"].nodes[:, 2]) + data["e_theta_tt"] = coords + return data + + +@register_compute_fun( + name="e_theta_tz", + label="\\partial_{\\theta\\zeta} \\mathbf{e}_{\\theta}", + units="m", + units_long="meters", + description="Covariant poloidal basis vector, 2nd derivative wrt poloidal angle" + " and toroidal angle", + dim=3, + params=["R_lmn", "Z_lmn"], + transforms={ + "R": [[0, 2, 1]], + "Z": [[0, 2, 1]], + "grid": [], + }, + profiles=[], + coordinates="tz", + data=[], + parameterization="desc.geometry.surface.FourierRZToroidalSurface", + basis="basis", +) +def _e_theta_tz_FourierRZToroidalSurface(params, transforms, profiles, data, **kwargs): + R = transforms["R"].transform(params["R_lmn"], dt=2, dz=1) + Z = transforms["Z"].transform(params["Z_lmn"], dt=2, dz=1) + phi = jnp.zeros(transforms["grid"].num_nodes) + coords = jnp.stack([R, phi, Z], axis=1) + if kwargs.get("basis", "rpz").lower() == "xyz": + coords = rpz2xyz_vec(coords, phi=transforms["grid"].nodes[:, 2]) + data["e_theta_tz"] = coords + return data + + @register_compute_fun( name="e_theta_z", label="\\partial_{\\zeta} \\mathbf{e}_{\\theta}", @@ -505,6 +566,36 @@ def _e_theta_z_FourierRZToroidalSurface(params, transforms, profiles, data, **kw return data +@register_compute_fun( + name="e_theta_zz", + label="\\partial_{\\zeta\\zeta} \\mathbf{e}_{\\theta}", + units="m", + units_long="meters", + description="Covariant poloidal basis vector, 2nd derivative wrt toroidal angle", + dim=3, + params=["R_lmn", "Z_lmn"], + transforms={ + "R": [[0, 1, 2]], + "Z": [[0, 1, 2]], + "grid": [], + }, + profiles=[], + coordinates="tz", + data=[], + parameterization="desc.geometry.surface.FourierRZToroidalSurface", + basis="basis", +) +def _e_theta_zz_FourierRZToroidalSurface(params, transforms, profiles, data, **kwargs): + dR = transforms["R"].transform(params["R_lmn"], dt=1, dz=2) + dZ = transforms["Z"].transform(params["Z_lmn"], dt=1, dz=2) + dphi = jnp.zeros(transforms["grid"].num_nodes) + coords = jnp.stack([dR, dphi, dZ], axis=1) + if kwargs.get("basis", "rpz").lower() == "xyz": + coords = rpz2xyz_vec(coords, phi=transforms["grid"].nodes[:, 2]) + data["e_theta_zz"] = coords + return data + + @register_compute_fun( name="e_zeta_r", label="\\partial_{\\rho} \\mathbf{e}_{\\zeta}", From 24d6dafa13aad477287616fb0e75a654ae249f16 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Fri, 9 Feb 2024 08:53:49 -0500 Subject: [PATCH 12/21] fix error in io attrs --- desc/geometry/curve.py | 2 +- tests/test_curves.py | 18 +++++++++++++++++- 2 files changed, 18 insertions(+), 2 deletions(-) diff --git a/desc/geometry/curve.py b/desc/geometry/curve.py index 389150be2a..1e849f78df 100644 --- a/desc/geometry/curve.py +++ b/desc/geometry/curve.py @@ -895,7 +895,7 @@ class FourierRZWindingSurfaceCurve(Curve): _io_attrs_ = Curve._io_attrs_ + [ "_theta_n", - "_theta_n", + "_zeta_n", "_secular_theta", "_secular_zeta", "_theta_basis", diff --git a/tests/test_curves.py b/tests/test_curves.py index 72d0cb1eb5..011dc18f05 100644 --- a/tests/test_curves.py +++ b/tests/test_curves.py @@ -12,7 +12,7 @@ SplineXYZCurve, ) from desc.grid import Grid, LinearGrid -from desc.io import InputReader +from desc.io import InputReader, load class TestRZCurve: @@ -377,6 +377,22 @@ def test_asserts(self): with pytest.raises(AssertionError): _ = FourierRZWindingSurfaceCurve(zeta_n=[1], modes_zeta=[1, 2]) + @pytest.mark.unit + def test_io(self, tmpdir_factory): + """Test io for FourierRZWindingSurfaceCurve class.""" + c = FourierRZWindingSurfaceCurve(secular_theta=0.0, secular_zeta=1.0) + tmpdir = tmpdir_factory.mktemp("curve_io_test") + tmp_path = tmpdir.join("windingsurfacecurve.h5") + c.save(tmp_path) + c2 = load(tmp_path) + assert c.eq(c2) + # the curve is a toroidally closed curve at constant theta + # check it correctly computes coords after load + x, y, z = c.compute("x", grid=0, basis="xyz")["x"].T + np.testing.assert_allclose(x, 11) + np.testing.assert_allclose(y, 0) + np.testing.assert_allclose(z, 0) + class TestFourierXYZCurve: """Tests for FourierXYZCurve class.""" From c0279c5c0567cb2cb9b561f03686d963066450b0 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Mon, 4 Mar 2024 11:55:19 -0500 Subject: [PATCH 13/21] fix compute bug, fix setting res bug --- desc/compute/_curve.py | 10 ++++++---- desc/geometry/curve.py | 4 +++- tests/test_curves.py | 20 ++++++++++---------- 3 files changed, 19 insertions(+), 15 deletions(-) diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index 162617ee3c..1a1ce24df7 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -611,7 +611,9 @@ def _x_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs coords = jnp.stack([data_surf["R"], data_surf["phi"], data_surf["Z"]], axis=1) # convert to xyz for displacement and rotation coords = rpz2xyz(coords) - coords = coords @ params["rotmat"].T + params["shift"][jnp.newaxis, :] + coords = ( + coords @ params["rotmat"].reshape((3, 3)).T + params["shift"][jnp.newaxis, :] + ) if kwargs.get("basis", "rpz").lower() == "rpz": coords = xyz2rpz(coords) data["x"] = coords @@ -688,7 +690,7 @@ def _x_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwar ) # convert to xyz for displacement and rotation coords = rpz2xyz_vec(coords, phi=data_surf["phi"]) - coords = coords @ params["rotmat"].T + coords = coords @ params["rotmat"].reshape((3, 3)).T if kwargs.get("basis", "rpz").lower() == "rpz": coords = xyz2rpz_vec(coords, phi=data_surf["phi"]) data["x_s"] = coords @@ -811,7 +813,7 @@ def _x_ss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwa ) # convert to xyz for displacement and rotation coords = rpz2xyz_vec(coords, phi=data_surf["phi"]) - coords = coords @ params["rotmat"].T + coords = coords @ params["rotmat"].reshape((3, 3)).T if kwargs.get("basis", "rpz").lower() == "rpz": coords = xyz2rpz_vec(coords, phi=data_surf["phi"]) data["x_ss"] = coords @@ -999,7 +1001,7 @@ def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw ) # convert to xyz for displacement and rotation coords = rpz2xyz_vec(coords, phi=data_surf["phi"]) - coords = coords @ params["rotmat"].T + coords = coords @ params["rotmat"].reshape((3, 3)).T if kwargs.get("basis", "rpz").lower() == "rpz": coords = xyz2rpz_vec(coords, phi=data_surf["phi"]) data["x_sss"] = coords diff --git a/desc/geometry/curve.py b/desc/geometry/curve.py index 1e849f78df..15e2ada06d 100644 --- a/desc/geometry/curve.py +++ b/desc/geometry/curve.py @@ -1012,7 +1012,9 @@ def change_resolution(self, N=None, NFP=None, sym=None): or (sym is not None) and (sym != self.sym) ): - self._NFP = int(NFP if NFP is not None else self.NFP) + self._surface.change_resolution( + NFP=int(NFP if NFP is not None else self.NFP) + ) self._sym = sym if sym is not None else self.sym N = int(N if N is not None else self.N) theta_modes_old = self.theta_basis.modes diff --git a/tests/test_curves.py b/tests/test_curves.py index eb0be4b905..0e32ccd779 100644 --- a/tests/test_curves.py +++ b/tests/test_curves.py @@ -333,23 +333,23 @@ def test_coords(self): @pytest.mark.unit def test_misc(self): """Test getting/setting misc attributes of FourierRZWindingSurfaceCurve.""" - c = FourierRZWindingSurfaceCurve() + c = FourierRZWindingSurfaceCurve(sym_theta="cos", sym_zeta="cos") theta_n, zeta_n = c.get_coeffs(0) np.testing.assert_allclose(theta_n, 0) np.testing.assert_allclose(zeta_n, 0) - c.set_coeffs(0, 5, None) + c.set_coeffs(0, 5, 1) np.testing.assert_allclose(c.theta_n, [5]) - np.testing.assert_allclose(c.zeta_n, []) + np.testing.assert_allclose(c.zeta_n, [1]) s = c.copy() - assert s.eq(c) + assert s.equiv(c) c.change_resolution(5) assert c.N == 5 - c.set_coeffs(-1, None, 2) + c.set_coeffs(5, None, 2) np.testing.assert_allclose(c.theta_n, [5, 0, 0, 0, 0, 0]) - np.testing.assert_allclose(c.zeta_n, [0, 0, 0, 0, 2]) + np.testing.assert_allclose(c.zeta_n, [1, 0, 0, 0, 0, 2]) with pytest.raises(ValueError): c.theta_n = s.theta_n @@ -362,10 +362,10 @@ def test_misc(self): assert "FourierRZWindingSurfaceCurve" in str(c) assert c.sym - c.NFP = 3 + c.change_resolution(NFP=3) assert c.NFP == 3 - assert c.R_basis.NFP == 3 - assert c.Z_basis.NFP == 3 + assert c.theta_basis.NFP == 3 + assert c.zeta_basis.NFP == 3 @pytest.mark.unit def test_asserts(self): @@ -385,7 +385,7 @@ def test_io(self, tmpdir_factory): tmp_path = tmpdir.join("windingsurfacecurve.h5") c.save(tmp_path) c2 = load(tmp_path) - assert c.eq(c2) + assert c.equiv(c2) # the curve is a toroidally closed curve at constant theta # check it correctly computes coords after load x, y, z = c.compute("x", grid=0, basis="xyz")["x"].T From f326f3447e460f99697337964da76504f896232f Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Wed, 6 Mar 2024 12:19:44 -0500 Subject: [PATCH 14/21] fix torsion computation for winding surface curve --- desc/compute/_curve.py | 63 ++++++-------- desc/compute/_surface.py | 176 ++++++++++++++++++++++++++++++++++----- tests/test_curves.py | 8 +- 3 files changed, 188 insertions(+), 59 deletions(-) diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index 1a1ce24df7..a20f0e0e58 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -888,16 +888,31 @@ def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw data_surf = transforms["surface"].compute( [ - "e_theta", - "e_theta_t", - "e_theta_z", - "e_theta_tt", - "e_theta_tz", - "e_theta_zz", - "e_zeta", - "e_zeta_t", - "e_zeta_z", - "e_zeta_zz", + "R_t", + "Z_t", + "R_z", + "Z_z", + "R_tt", + "phi_tt", + "Z_tt", + "R_tz", + "phi_tz", + "Z_tz", + "R_zz", + "phi_zz", + "Z_zz", + "R_ttt", + "phi_ttt", + "Z_ttt", + "R_ttz", + "phi_ttz", + "Z_ttz", + "R_tzz", + "phi_tzz", + "Z_tzz", + "R_zzz", + "phi_zzz", + "Z_zzz", "phi", "phi_z", "phi_t", @@ -906,34 +921,6 @@ def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw method="jitable", basis="rpz", ) - # first derivs - data_surf["R_t"] = data_surf["e_theta"][:, 0] - data_surf["Z_t"] = data_surf["e_theta"][:, 2] - data_surf["R_z"] = data_surf["e_zeta"][:, 0] - data_surf["Z_z"] = data_surf["e_zeta"][:, 2] - # second derivs - data_surf["R_tt"] = data_surf["e_theta_t"][:, 0] - data_surf["phi_tt"] = data_surf["e_theta_t"][:, 1] - data_surf["Z_tt"] = data_surf["e_theta_t"][:, 2] - data_surf["R_tz"] = data_surf["e_theta_z"][:, 0] - data_surf["phi_tz"] = data_surf["e_theta_z"][:, 1] - data_surf["Z_tz"] = data_surf["e_theta_z"][:, 2] - data_surf["R_zz"] = data_surf["e_zeta_z"][:, 0] - data_surf["phi_zz"] = data_surf["e_zeta_z"][:, 1] - data_surf["Z_zz"] = data_surf["e_zeta_z"][:, 2] - # third derivs - data_surf["R_ttt"] = data_surf["e_theta_tt"][:, 0] - data_surf["phi_ttt"] = data_surf["e_theta_tt"][:, 1] - data_surf["Z_ttt"] = data_surf["e_theta_tt"][:, 2] - data_surf["R_ttz"] = data_surf["e_theta_tz"][:, 0] - data_surf["phi_ttz"] = data_surf["e_theta_tz"][:, 1] - data_surf["Z_ttz"] = data_surf["e_theta_tz"][:, 2] - data_surf["R_tzz"] = data_surf["e_theta_zz"][:, 0] - data_surf["phi_tzz"] = data_surf["e_theta_zz"][:, 1] - data_surf["Z_tzz"] = data_surf["e_theta_zz"][:, 2] - data_surf["R_zzz"] = data_surf["e_zeta_zz"][:, 0] - data_surf["phi_zzz"] = data_surf["e_zeta_zz"][:, 1] - data_surf["Z_zzz"] = data_surf["e_zeta_zz"][:, 2] d3R = ( data["zeta_sss"] * data_surf["R_t"] diff --git a/desc/compute/_surface.py b/desc/compute/_surface.py index 9cd84b4663..bbe6dfea97 100644 --- a/desc/compute/_surface.py +++ b/desc/compute/_surface.py @@ -1,7 +1,7 @@ from desc.backend import jnp from .data_index import register_compute_fun -from .geom_utils import rpz2xyz, rpz2xyz_vec, xyz2rpz, xyz2rpz_vec +from .geom_utils import rpz2xyz, rpz2xyz_vec, xyz2rpz @register_compute_fun( @@ -141,16 +141,12 @@ def _phi_Surface(params, transforms, profiles, data, **kwargs): transforms={}, profiles=[], coordinates="rtz", - data=["e_rho", "phi"], + data=["phi"], parameterization="desc.geometry.core.Surface", basis="basis", ) def _phi_r_Surface(params, transforms, profiles, data, **kwargs): - coords_r = data["e_rho"] - if kwargs.get("basis", "rpz").lower() == "xyz": - # if basis is xyz, then "x" is xyz and we must convert to rpz - coords_r = xyz2rpz_vec(coords_r, phi=data["phi"]) - data["phi_r"] = coords_r[:, 1] + data["phi_r"] = jnp.zeros_like(data["phi"]) return data @@ -165,16 +161,138 @@ def _phi_r_Surface(params, transforms, profiles, data, **kwargs): transforms={}, profiles=[], coordinates="rtz", - data=["e_theta", "phi"], + data=["phi"], parameterization="desc.geometry.core.Surface", basis="basis", ) def _phi_t_Surface(params, transforms, profiles, data, **kwargs): - coords_t = data["e_theta"] - if kwargs.get("basis", "rpz").lower() == "xyz": - # if basis is xyz, then "x" is xyz and we must convert to rpz - coords_t = xyz2rpz_vec(coords_t, phi=data["phi"]) - data["phi_t"] = coords_t[:, 1] + data["phi_t"] = jnp.zeros_like(data["phi"]) + return data + + +@register_compute_fun( + name="phi_tt", + label="\\partial_{\\theta\\theta} \\phi", + units="rad", + units_long="radians", + description="Toroidal angle in lab frame, second derivative wrt" + " poloidal coordinate", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["phi"], + parameterization="desc.geometry.core.Surface", + basis="basis", +) +def _phi_tt_Surface(params, transforms, profiles, data, **kwargs): + data["phi_tt"] = jnp.zeros_like(data["phi"]) + return data + + +@register_compute_fun( + name="phi_tz", + label="\\partial_{\\theta\\zeta} \\phi", + units="rad", + units_long="radians", + description="Toroidal angle in lab frame, first derivative wrt" + " poloidal coordinate and first derivative wrt toroidal coordinate", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["phi"], + parameterization="desc.geometry.core.Surface", + basis="basis", +) +def _phi_tz_Surface(params, transforms, profiles, data, **kwargs): + data["phi_tz"] = jnp.zeros_like(data["phi"]) + return data + + +@register_compute_fun( + name="phi_ttt", + label="\\partial_{\\theta\\theta\\theta} \\phi", + units="rad", + units_long="radians", + description="Toroidal angle in lab frame, third derivative wrt" + " poloidal coordinate", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["phi"], + parameterization="desc.geometry.core.Surface", + basis="basis", +) +def _phi_ttt_Surface(params, transforms, profiles, data, **kwargs): + data["phi_ttt"] = jnp.zeros_like(data["phi"]) + return data + + +@register_compute_fun( + name="phi_ttz", + label="\\partial_{\\theta\\theta\\zeta} \\phi", + units="rad", + units_long="radians", + description="Toroidal angle in lab frame, second derivative wrt" + " poloidal coordinate and first derivative wrt toroidal coordinate", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["phi"], + parameterization="desc.geometry.core.Surface", + basis="basis", +) +def _phi_ttz_Surface(params, transforms, profiles, data, **kwargs): + data["phi_ttz"] = jnp.zeros_like(data["phi"]) + return data + + +@register_compute_fun( + name="phi_tzz", + label="\\partial_{\\theta\\zeta\\zeta} \\phi", + units="rad", + units_long="radians", + description="Toroidal angle in lab frame, first derivative wrt" + " poloidal coordinate and second derivative wrt toroidal coordinate", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["phi"], + parameterization="desc.geometry.core.Surface", + basis="basis", +) +def _phi_tzz_Surface(params, transforms, profiles, data, **kwargs): + data["phi_tzz"] = jnp.zeros_like(data["phi"]) + return data + + +@register_compute_fun( + name="phi_zzz", + label="\\partial_{\\zeta\\zeta\\zeta} \\phi", + units="rad", + units_long="radians", + description="Toroidal angle in lab frame, third derivative wrt" + " toroidal coordinate", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["phi"], + parameterization="desc.geometry.core.Surface", + basis="basis", +) +def _phi_zzz_Surface(params, transforms, profiles, data, **kwargs): + data["phi_zzz"] = jnp.zeros_like(data["phi"]) return data @@ -189,16 +307,36 @@ def _phi_t_Surface(params, transforms, profiles, data, **kwargs): transforms={}, profiles=[], coordinates="rtz", - data=["e_zeta", "phi"], + data=["phi"], parameterization="desc.geometry.core.Surface", basis="basis", ) def _phi_z_Surface(params, transforms, profiles, data, **kwargs): - coords_z = data["e_zeta"] - if kwargs.get("basis", "rpz").lower() == "xyz": - # if basis is xyz, then "x" is xyz and we must convert to rpz - coords_z = xyz2rpz_vec(coords_z, phi=data["phi"]) - data["phi_z"] = coords_z[:, 1] + # TODO: if surfaces eventually get an omega for generalized toroidal angle, + # this (and everything else in this file) must be changed, for now this + # assumes zeta = phi + data["phi_z"] = jnp.ones_like(data["phi"]) + return data + + +@register_compute_fun( + name="phi_zz", + label="\\partial_{\\zeta} \\phi", + units="rad", + units_long="radians", + description="Toroidal angle in lab frame, second derivative" + " wrt toroidal coordinate", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["phi"], + parameterization="desc.geometry.core.Surface", + basis="basis", +) +def _phi_zz_Surface(params, transforms, profiles, data, **kwargs): + data["phi_zz"] = jnp.zeros_like(data["phi"]) return data diff --git a/tests/test_curves.py b/tests/test_curves.py index 0e32ccd779..085d4fc1b3 100644 --- a/tests/test_curves.py +++ b/tests/test_curves.py @@ -291,11 +291,15 @@ def test_torsion(self): """Test torsion of circular curve.""" c = FourierRZWindingSurfaceCurve() # by default the curve is a poloidally closed curve at constant zeta - np.testing.assert_allclose(c.compute("torsion", grid=20)["torsion"], 0) + np.testing.assert_allclose( + c.compute("torsion", grid=20)["torsion"], 0, atol=1e-16 + ) c.translate([1, 1, 1]) c.rotate(angle=np.pi) c.flip([0, 1, 0]) - np.testing.assert_allclose(c.compute("torsion", grid=20)["torsion"], 0) + np.testing.assert_allclose( + c.compute("torsion", grid=20)["torsion"], 0, atol=1e-16 + ) @pytest.mark.unit def test_frenet(self): From 786c71899bb97573b7b5085464a0dbed62819285 Mon Sep 17 00:00:00 2001 From: "Dario G. 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z;SOB6@Zd{;N+3@feDu=Mk-S*|*QQ=fi&8a%ZTxBfUZG0xxcKctrE?oZYMxu2aH;|v z1t)DsQwl)2rCy|zvkF{;I(CG8%7yh!qmP2hvtZ1*peOiRF$CYbI;8!Efb;cg>{%+A zV2~9b(x&toVr&yn?`--&*}=1Zde@^&2weM&tvf#lK8>r4-i&l_+@ID zn|gDw=vQ0!0f8t?GzK?)jLgHd{$*{C-Y!_zBj@;wEa{N%%O^|)d+{J;3y^r9#s{VO|vEkbH>0 zb^va?J}K6)IuXutx@GZ7y@32ecP@+XK5$zy=&0LiA7DTI<3k-)AXw8(HBY+4Q}!xy z4ZWA%3QVHCLd8!+P^szH2IbiyXyQ+rKA-vp0`y$C9y7gzLlMOd&&}^cP?Q|C?SKy` ztX5FdHHrH-s$OKhhxC-3UXmrDq9oJw(_?j3{-~9O-X^nnpS@C1YF9xZq)lHr>Nsm?S@3Osd(Wfby-uE_txLDSF{XbZP Ye5U_tF(~X%hV$5z{J&%X?d|3M3$KIb^Z)<= From bd4f1860d939ef6308cf5e6085f8d3e129155628 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Mon, 22 Jul 2024 16:18:17 -0400 Subject: [PATCH 16/21] fix error in coord transform for winding surface curve computes --- desc/compute/_curve.py | 50 ++++++++++++++++++++++-------------------- 1 file changed, 26 insertions(+), 24 deletions(-) diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index 489e8c49f9..c698f3d873 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -630,8 +630,8 @@ def _center_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **k # center is average of xyz positions xyz = jnp.stack([data["X"], data["Y"], data["Z"]], axis=1) center = jnp.mean(xyz, axis=0) - # displacement and rotation - center = jnp.matmul(center, params["rotmat"].reshape((3, 3)).T) + params["shift"] + # don't need to do displacement/rotation as it already is accounted for in + # data["X"], data["Y"], data["Z"] call # convert to rpz data["center"] = xyz2rpz(center) * jnp.ones_like(data["x"]) return data @@ -644,18 +644,17 @@ def _center_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **k units_long="meters", description="Position vector along curve", dim=3, - params=["surface", "rotmat", "shift"], - transforms={}, + params=["rotmat", "shift"], + transforms={"surface": []}, profiles=[], coordinates="s", data=["theta", "zeta"], parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", - basis="basis", ) def _x_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T grid = Grid(nodes, sort=False, jitable=True) - data_surf = params["surface"].compute( + data_surf = transforms["surface"].compute( ["R", "phi", "Z"], grid=grid, method="jitable" ) coords = jnp.stack([data_surf["R"], data_surf["phi"], data_surf["Z"]], axis=1) @@ -664,8 +663,7 @@ def _x_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs coords = ( coords @ params["rotmat"].reshape((3, 3)).T + params["shift"][jnp.newaxis, :] ) - if kwargs.get("basis", "rpz").lower() == "rpz": - coords = xyz2rpz(coords) + coords = xyz2rpz(coords) data["x"] = coords return data @@ -709,20 +707,17 @@ def _x_s_FourierRZCurve(params, transforms, profiles, data, **kwargs): transforms={"surface": []}, profiles=[], coordinates="s", - data=["theta", "theta_s", "zeta", "zeta_s"], + data=["theta", "theta_s", "zeta", "zeta_s", "phi"], parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", - basis="basis", ) def _x_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T grid = Grid(nodes, sort=False, jitable=True) data_surf = transforms["surface"].compute( - ["e_theta", "e_zeta", "phi", "phi_z", "phi_t"], grid=grid, method="jitable" + ["R_t", "R_z", "Z_t", "Z_z", "phi", "phi_z", "phi_t"], + grid=grid, + method="jitable", ) - data_surf["R_t"] = data_surf["e_theta"][:, 0] - data_surf["Z_t"] = data_surf["e_theta"][:, 2] - data_surf["R_z"] = data_surf["e_zeta"][:, 0] - data_surf["Z_z"] = data_surf["e_zeta"][:, 2] coords = jnp.stack( [ @@ -733,10 +728,13 @@ def _x_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwar axis=1, ) # convert to xyz for displacement and rotation + # first rotation needs to be data_surf["phi"] for the original + # phi position coords = rpz2xyz_vec(coords, phi=data_surf["phi"]) coords = coords @ params["rotmat"].reshape((3, 3)).T - if kwargs.get("basis", "rpz").lower() == "rpz": - coords = xyz2rpz_vec(coords, phi=data_surf["phi"]) + # convert back to rpz + # second rotation is the phi of the possibly rotated and shifted curve + coords = xyz2rpz_vec(coords, phi=data["phi"]) data["x_s"] = coords return data @@ -781,9 +779,8 @@ def _x_ss_FourierRZCurve(params, transforms, profiles, data, **kwargs): transforms={"surface": []}, profiles=[], coordinates="s", - data=["theta", "theta_s", "theta_ss", "zeta", "zeta_s", "zeta_ss"], + data=["theta", "theta_s", "theta_ss", "zeta", "zeta_s", "zeta_ss", "phi"], parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", - basis="basis", ) def _x_ss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T @@ -847,10 +844,13 @@ def _x_ss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwa axis=1, ) # convert to xyz for displacement and rotation + # first rotation needs to be data_surf["phi"] for the original + # phi position coords = rpz2xyz_vec(coords, phi=data_surf["phi"]) coords = coords @ params["rotmat"].reshape((3, 3)).T - if kwargs.get("basis", "rpz").lower() == "rpz": - coords = xyz2rpz_vec(coords, phi=data_surf["phi"]) + # convert back to rpz + # second rotation is the phi of the possibly rotated and shifted curve + coords = xyz2rpz_vec(coords, phi=data["phi"]) data["x_ss"] = coords return data @@ -911,7 +911,6 @@ def _x_sss_FourierRZCurve(params, transforms, profiles, data, **kwargs): "zeta_sss", ], parameterization="desc.geometry.curve.FourierRZWindingSurfaceCurve", - basis="basis", ) def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T @@ -1018,10 +1017,13 @@ def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw axis=1, ) # convert to xyz for displacement and rotation + # first rotation needs to be data_surf["phi"] for the original + # phi position coords = rpz2xyz_vec(coords, phi=data_surf["phi"]) coords = coords @ params["rotmat"].reshape((3, 3)).T - if kwargs.get("basis", "rpz").lower() == "rpz": - coords = xyz2rpz_vec(coords, phi=data_surf["phi"]) + # convert back to rpz + # second rotation is the phi of the possibly rotated and shifted curve + coords = xyz2rpz_vec(coords, phi=data["phi"]) data["x_sss"] = coords return data From 8886b99273801fbe704254b409cd65138f3a56c1 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Mon, 22 Jul 2024 17:51:40 -0400 Subject: [PATCH 17/21] add R_lmn Z_lmn params to winding surface curve and modify compute fxns to allow for optimizing surface --- desc/coils.py | 3 --- desc/compute/_curve.py | 33 ++++++++++++++++++++++++------- desc/geometry/curve.py | 44 +++++++++++++++++++++++++++++++++++++++--- tests/test_examples.py | 34 ++++++++++++++++++++++++++++++++ 4 files changed, 101 insertions(+), 13 deletions(-) diff --git a/desc/coils.py b/desc/coils.py index 1e30050bb0..ad014b8723 100644 --- a/desc/coils.py +++ b/desc/coils.py @@ -23,7 +23,6 @@ from desc.geometry import ( FourierPlanarCurve, FourierRZCurve, - FourierRZToroidalSurface, FourierRZWindingSurfaceCurve, FourierXYZCurve, SplineXYZCurve, @@ -459,8 +458,6 @@ def __init__( sym_zeta="sin", name="", ): - if surface is None: - surface = FourierRZToroidalSurface() super().__init__( current, surface, diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index c698f3d873..cae3b469f6 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -644,7 +644,7 @@ def _center_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **k units_long="meters", description="Position vector along curve", dim=3, - params=["rotmat", "shift"], + params=["rotmat", "shift", "R_lmn", "Z_lmn"], transforms={"surface": []}, profiles=[], coordinates="s", @@ -654,8 +654,15 @@ def _center_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **k def _x_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T grid = Grid(nodes, sort=False, jitable=True) + params_temp = transforms["surface"].params_dict.copy() + params_temp["R_lmn"] = params["R_lmn"] + params_temp["Z_lmn"] = params["Z_lmn"] + data_surf = transforms["surface"].compute( - ["R", "phi", "Z"], grid=grid, method="jitable" + ["R", "phi", "Z"], + grid=grid, + method="jitable", + params=params_temp, ) coords = jnp.stack([data_surf["R"], data_surf["phi"], data_surf["Z"]], axis=1) # convert to xyz for displacement and rotation @@ -703,7 +710,7 @@ def _x_s_FourierRZCurve(params, transforms, profiles, data, **kwargs): units_long="meters", description="Position vector along curve, first derivative", dim=3, - params=["rotmat", "shift"], + params=["rotmat", "shift", "R_lmn", "Z_lmn"], transforms={"surface": []}, profiles=[], coordinates="s", @@ -713,10 +720,15 @@ def _x_s_FourierRZCurve(params, transforms, profiles, data, **kwargs): def _x_s_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T grid = Grid(nodes, sort=False, jitable=True) + params_temp = transforms["surface"].params_dict.copy() + params_temp["R_lmn"] = params["R_lmn"] + params_temp["Z_lmn"] = params["Z_lmn"] + names = ["R_t", "R_z", "Z_t", "Z_z", "phi", "phi_z", "phi_t"] data_surf = transforms["surface"].compute( - ["R_t", "R_z", "Z_t", "Z_z", "phi", "phi_z", "phi_t"], + names, grid=grid, method="jitable", + params=params_temp, ) coords = jnp.stack( @@ -775,7 +787,7 @@ def _x_ss_FourierRZCurve(params, transforms, profiles, data, **kwargs): units_long="meters", description="Position vector along curve, second derivative", dim=3, - params=["rotmat", "shift"], + params=["rotmat", "shift", "R_lmn", "Z_lmn"], transforms={"surface": []}, profiles=[], coordinates="s", @@ -785,6 +797,9 @@ def _x_ss_FourierRZCurve(params, transforms, profiles, data, **kwargs): def _x_ss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T grid = Grid(nodes, sort=False, jitable=True) + params_temp = transforms["surface"].params_dict.copy() + params_temp["R_lmn"] = params["R_lmn"] + params_temp["Z_lmn"] = params["Z_lmn"] data_surf = transforms["surface"].compute( [ "e_theta", @@ -800,6 +815,7 @@ def _x_ss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwa grid=grid, method="jitable", basis="rpz", + params=params_temp, ) # first derivs data_surf["R_t"] = data_surf["e_theta"][:, 0] @@ -896,7 +912,7 @@ def _x_sss_FourierRZCurve(params, transforms, profiles, data, **kwargs): units_long="meters", description="Position vector along curve, third derivative", dim=3, - params=["rotmat", "shift"], + params=["rotmat", "shift", "R_lmn", "Z_lmn"], transforms={"surface": []}, profiles=[], coordinates="s", @@ -915,7 +931,9 @@ def _x_sss_FourierRZCurve(params, transforms, profiles, data, **kwargs): def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kwargs): nodes = jnp.vstack([jnp.ones_like(data["theta"]), data["theta"], data["zeta"]]).T grid = Grid(nodes, sort=False, jitable=True) - + params_temp = transforms["surface"].params_dict.copy() + params_temp["R_lmn"] = params["R_lmn"] + params_temp["Z_lmn"] = params["Z_lmn"] data_surf = transforms["surface"].compute( [ "R_t", @@ -950,6 +968,7 @@ def _x_sss_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **kw grid=grid, method="jitable", basis="rpz", + params=params_temp, ) d3R = ( diff --git a/desc/geometry/curve.py b/desc/geometry/curve.py index 6fd2c1c441..ae7d38eef3 100644 --- a/desc/geometry/curve.py +++ b/desc/geometry/curve.py @@ -1088,6 +1088,9 @@ def __init__( f"object, instead got type {type(surface)}" ) self._surface = surface + self._R_lmn = surface.R_lmn + self._Z_lmn = surface.Z_lmn + theta_n, zeta_n = np.atleast_1d(theta_n), np.atleast_1d(zeta_n) if modes_theta is None: modes_theta = np.arange(-(theta_n.size // 2), theta_n.size // 2 + 1) @@ -1166,8 +1169,43 @@ def N(self): """Maximum mode number.""" return max(self.theta_basis.N, self.zeta_basis.N) + @optimizable_parameter + @property + def R_lmn(self): + """ndarray: Spectral coefficients for surface R.""" + return self._R_lmn + + @R_lmn.setter + def R_lmn(self, new): + if len(new) == self.surface.R_basis.num_modes: + self._R_lmn = jnp.asarray(new) + self.surface._R_lmn = self._R_lmn + else: + raise ValueError( + f"R_lmn should have the same size as the surface basis, got {len(new)}" + + f" for basis with {self.surface.R_basis.num_modes} modes." + ) + + @optimizable_parameter + @property + def Z_lmn(self): + """ndarray: Spectral coefficients for surface Z.""" + return self._Z_lmn + + @Z_lmn.setter + def Z_lmn(self, new): + if len(new) == self.surface.Z_basis.num_modes: + self._Z_lmn = jnp.asarray(new) + self.surface._Z_lmn = self._Z_lmn + else: + raise ValueError( + f"Z_lmn should have the same size as the surface basis, got {len(new)}" + + f" for basis with {self.surface.Z_basis.num_modes} modes." + ) + + # todo: need a change_surf_resolutoin that just calls underlying surf? def change_resolution(self, N=None, NFP=None, sym=None): - """Change the maximum toroidal resolution.""" + """Change the maximum toroidal resolution for the curve.""" if ( ((N is not None) and (N != self.N)) or ((NFP is not None) and (NFP != self.NFP)) @@ -1256,7 +1294,7 @@ def secular_theta(self): @secular_theta.setter def secular_theta(self, new): - self._secular_theta = float(new) + self._secular_theta = float(np.squeeze(new)) @optimizable_parameter @property @@ -1266,7 +1304,7 @@ def secular_zeta(self): @secular_zeta.setter def secular_zeta(self, new): - self._secular_zeta = float(new) + self._secular_zeta = float(np.squeeze(new)) # TODO: add symmetry? I think for modular coils to be not # all at the same zeta angle, the zeta basis must diff --git a/tests/test_examples.py b/tests/test_examples.py index b8241df66c..11b3c7c0db 100644 --- a/tests/test_examples.py +++ b/tests/test_examples.py @@ -14,6 +14,7 @@ CoilSet, FourierPlanarCoil, FourierRZCoil, + FourierRZWindingSurfaceCoil, FourierXYZCoil, MixedCoilSet, _Coil, @@ -1546,3 +1547,36 @@ def circle_constraint(params): abs(surf_opt.Z_lmn[surf_opt.Z_basis.get_idx(M=-1, N=0)]) + offset, rtol=2e-2, ) + + +@pytest.mark.unit +def test_optimize_FourierRZWindingSurfaceCoil_surface(): + """Tests optimizing the surface of a winding surface coil.""" + c = FourierRZWindingSurfaceCoil(secular_theta=1, secular_zeta=0) + # default surface has R0=10, a=1 + target_a = 2 + # target a minor radius of the surface of 2 + obj = ObjectiveFunction( + CoilLength(c, target=2 * np.pi * target_a, grid=LinearGrid(N=40)) + ) + # we will fix all but the R_lmn, Z_lmn of the surface (which are + # params of the FourierRZWindingSurfaceCoil object) + # so that the surface geometry must change to satisfy the + # optimizatin problem + cons = ( + FixCoilCurrent(c), + FixParameters( + c, + params={ + "theta_n": True, + "zeta_n": True, + "secular_theta": True, + "secular_zeta": True, + }, + ), + ) + + opt = Optimizer("fmintr") + (c,), _ = opt.optimize(c, objective=obj, constraints=cons, verbose=3) + np.testing.assert_allclose(c.R_lmn[c.surface.R_basis.get_idx(M=1, N=0)], target_a) + np.testing.assert_allclose(c.Z_lmn[c.surface.Z_basis.get_idx(M=-1, N=0)], -target_a) From c2e42fd55c421ecab5ba370d68b9d15a26b21463 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Mon, 22 Jul 2024 17:53:07 -0400 Subject: [PATCH 18/21] fix test --- desc/compute/_curve.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index cae3b469f6..0cb280fee8 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -633,7 +633,7 @@ def _center_FourierRZWindingSurfaceCurve(params, transforms, profiles, data, **k # don't need to do displacement/rotation as it already is accounted for in # data["X"], data["Y"], data["Z"] call # convert to rpz - data["center"] = xyz2rpz(center) * jnp.ones_like(data["x"]) + data["center"] = xyz2rpz(center) * jnp.ones_like(xyz) return data From ffe5f481e295bf4655d3c1333937921ea6b0d4e1 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Mon, 22 Jul 2024 18:29:56 -0400 Subject: [PATCH 19/21] remove unused params, add some attrs to CoilSet for the winding surface curve class --- desc/coils.py | 2 ++ desc/compute/_curve.py | 2 +- 2 files changed, 3 insertions(+), 1 deletion(-) diff --git a/desc/coils.py b/desc/coils.py index ad014b8723..e7a4c43ddb 100644 --- a/desc/coils.py +++ b/desc/coils.py @@ -829,6 +829,8 @@ def _check_type(coil0, coil): FourierXYZCoil: ["X_basis", "Y_basis", "Z_basis"], FourierPlanarCoil: ["r_basis"], SplineXYZCoil: ["method", "N"], + # TODO: probably add a surf_R_basis or R_basis and Z_basis to this + FourierRZWindingSurfaceCoil: ["N", "theta_basis", "zeta_basis", "surface"], } for attr in attrs[coil0.__class__]: diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index 0cb280fee8..4cc02c436f 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -619,7 +619,7 @@ def _zeta_sss_FourierRZWindingSurfaceCurve( units_long="meters", description="Centroid of the curve", dim=3, - params=["rotmat", "shift"], + params=[], transforms={}, profiles=[], coordinates="s", From e2aad224e16e618c258b9043be22326d9a4fb3ff Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Mon, 22 Jul 2024 21:25:18 -0400 Subject: [PATCH 20/21] remove extra dependencies --- desc/compute/_curve.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index 4cc02c436f..acfd1dcf57 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -710,7 +710,7 @@ def _x_s_FourierRZCurve(params, transforms, profiles, data, **kwargs): units_long="meters", description="Position vector along curve, first derivative", dim=3, - params=["rotmat", "shift", "R_lmn", "Z_lmn"], + params=["rotmat", "R_lmn", "Z_lmn"], transforms={"surface": []}, profiles=[], coordinates="s", @@ -787,7 +787,7 @@ def _x_ss_FourierRZCurve(params, transforms, profiles, data, **kwargs): units_long="meters", description="Position vector along curve, second derivative", dim=3, - params=["rotmat", "shift", "R_lmn", "Z_lmn"], + params=["rotmat", "R_lmn", "Z_lmn"], transforms={"surface": []}, profiles=[], coordinates="s", @@ -912,7 +912,7 @@ def _x_sss_FourierRZCurve(params, transforms, profiles, data, **kwargs): units_long="meters", description="Position vector along curve, third derivative", dim=3, - params=["rotmat", "shift", "R_lmn", "Z_lmn"], + params=["rotmat", "R_lmn", "Z_lmn"], transforms={"surface": []}, profiles=[], coordinates="s", From ea9184c8d03fe1bac7e50c7328172cf23182b5a6 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Mon, 5 Aug 2024 18:40:29 -0500 Subject: [PATCH 21/21] add missing dependency --- desc/compute/_curve.py | 1 + 1 file changed, 1 insertion(+) diff --git a/desc/compute/_curve.py b/desc/compute/_curve.py index acfd1dcf57..3373c29679 100644 --- a/desc/compute/_curve.py +++ b/desc/compute/_curve.py @@ -917,6 +917,7 @@ def _x_sss_FourierRZCurve(params, transforms, profiles, data, **kwargs): profiles=[], coordinates="s", data=[ + "phi", "theta", "theta_s", "theta_ss",

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