From f1c15fc4b658f695623d2eee54ba7c2b0eef2b1e Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Tue, 14 Nov 2023 15:53:37 -0500 Subject: [PATCH 01/74] add simple circular distance objective for when vessel surface is circular axisymmetric, with a signed distance --- desc/objectives/__init__.py | 1 + desc/objectives/_geometry.py | 231 +++++++++++++++++++++++++++++++++++ tests/test_objective_funs.py | 51 ++++++++ 3 files changed, 283 insertions(+) diff --git a/desc/objectives/__init__.py b/desc/objectives/__init__.py index 453f4e85a7..c37736ff66 100644 --- a/desc/objectives/__init__.py +++ b/desc/objectives/__init__.py @@ -16,6 +16,7 @@ Elongation, MeanCurvature, PlasmaVesselDistance, + PlasmaVesselDistanceCircular, PrincipalCurvature, Volume, ) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index abd113c958..9a7766c08d 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -440,6 +440,12 @@ class PlasmaVesselDistance(_Objective): Collocation grid containing the nodes to evaluate plasma geometry at. use_softmin: bool, optional Use softmin or hard min. + use_signed_distance: bool, optional + Whether to use absolute value of distance or a signed distance, with d + being positive if the plasma is inside of the bounding surface, and + negative if outside of the bounding surface. + NOTE: signed distance currently only works for circular XS or elliptical XS + axisymmetric winding surfaces. False by default alpha: float, optional Parameter used for softmin. The larger alpha, the closer the softmin approximates the hardmin. softmin -> hardmin as alpha -> infinity. @@ -467,6 +473,7 @@ def __init__( surface_grid=None, plasma_grid=None, use_softmin=False, + use_signed_distance=False, alpha=1.0, name="plasma-vessel distance", ): @@ -476,6 +483,9 @@ def __init__( self._surface_grid = surface_grid self._plasma_grid = plasma_grid self._use_softmin = use_softmin + self._use_signed_distance = use_signed_distance + if use_signed_distance: + raise NotImplementedError("this is not yet implemented!") self._alpha = alpha super().__init__( things=[eq, self._surface], @@ -486,6 +496,12 @@ def __init__( normalize_target=normalize_target, name=name, ) + # possible easy signed distance: + # at each zeta point in plas_grid, take as the "center" of the plane to be + # the eq axis at that zeta + # then compute minor radius to that point, for each zeta + # (so just (R(phi)-R0(phi),Z(phi)-Z0(phi) for both plasma and surface)) + # then take sign(r_surf - r_plasma) and multiply d by that? def build(self, use_jit=True, verbose=1): """Build constant arrays. @@ -616,6 +632,221 @@ def compute(self, equil_params, surface_params, constants=None): return d.min(axis=0) +class PlasmaVesselDistanceCircular(_Objective): + """Target the distance between the plasma and a surrounding circular torus. + + Computes the radius from the axis of the circular toroidal surface for each + point in the plas_grid, and subtracts that from the radius of the circular + bounding surface given to yield the distance from the plasma to the + circular bounding surface. + + NOTE: for best results, use this objective in combination with either MeanCurvature + or PrincipalCurvature, to penalize the tendency for the optimizer to only move the + points on surface corresponding to the grid that the plasma-vessel distance + is evaluated at, which can cause cusps or regions of very large curvature. + + NOTE: When use_softmin=True, ensures that alpha*values passed in is + at least >1, otherwise the softmin will return inaccurate approximations + of the minimum. Will automatically multiply array values by 2 / min_val if the min + of alpha*array is <1. This is to avoid inaccuracies that arise when values <1 + are present in the softmin, which can cause inaccurate mins or even incorrect + signs of the softmin versus the actual min. + + Parameters + ---------- + eq : Equilibrium, optional + Equilibrium that will be optimized to satisfy the Objective. + surface : Surface + Bounding surface to penalize distance to. + target : {float, ndarray}, optional + Target value(s) of the objective. Only used if bounds is None. + Must be broadcastable to Objective.dim_f. + bounds : tuple of {float, ndarray}, optional + Lower and upper bounds on the objective. Overrides target. + Both bounds must be broadcastable to to Objective.dim_f + weight : {float, ndarray}, optional + Weighting to apply to the Objective, relative to other Objectives. + Must be broadcastable to to Objective.dim_f + normalize : bool, optional + Whether to compute the error in physical units or non-dimensionalize. + normalize_target : bool, optional + Whether target and bounds should be normalized before comparing to computed + values. If `normalize` is `True` and the target is in physical units, + this should also be set to True. + surface_grid : Grid, optional + Collocation grid containing the nodes to evaluate surface geometry at. + plasma_grid : Grid, optional + Collocation grid containing the nodes to evaluate plasma geometry at. + use_signed_distance: bool, optional + Whether to use absolute value of distance or a signed distance, with d + being positive if the plasma is inside of the bounding surface, and + negative if outside of the bounding surface. + NOTE: signed distance currently only works for circular XS or elliptical XS + axisymmetric winding surfaces. False by default + name : str, optional + Name of the objective function. + """ + + _coordinates = "rtz" + _units = "(m)" + _print_value_fmt = "Plasma-circular-vessel distance: {:10.3e} " + + def __init__( + self, + eq, + surface, + target=None, + bounds=None, + weight=1, + normalize=True, + normalize_target=True, + plasma_grid=None, + use_signed_distance=False, + name="plasma-circular-vessel distance", + ): + if target is None and bounds is None: + bounds = (1, np.inf) + self._surface = surface + self._plasma_grid = plasma_grid + self._use_signed_distance = use_signed_distance + super().__init__( + things=[eq, self._surface], + target=target, + bounds=bounds, + weight=weight, + normalize=normalize, + normalize_target=normalize_target, + name=name, + ) + + def build(self, use_jit=True, verbose=1): + """Build constant arrays. + + Parameters + ---------- + use_jit : bool, optional + Whether to just-in-time compile the objective and derivatives. + verbose : int, optional + Level of output. + + """ + eq = self.things[0] + surface = self.things[1] + # if things[1] is different than self._surface, update self._surface + if surface != self._surface: + self._surface = surface + if self._plasma_grid is None: + plasma_grid = LinearGrid(M=eq.M_grid, N=eq.N_grid, NFP=eq.NFP) + else: + plasma_grid = self._plasma_grid + + if not np.allclose(plasma_grid.nodes[:, 0], 1): + warnings.warn("Plasma grid includes interior points, should be rho=1") + minor_radius_coef_index = surface.R_basis.get_idx(L=0, M=1, N=0) + major_radius_coef_index = surface.R_basis.get_idx(L=0, M=0, N=0) + should_be_zero_indices = np.delete( + np.arange(surface.R_basis.num_modes), + [minor_radius_coef_index, major_radius_coef_index], + ) + + if not np.allclose(surface.R_lmn[should_be_zero_indices], 0.0): + warnings.warn( + "PlasmaVesselDistanceCircular only works for axisymmetric" + " circular toroidal bounding surfaces!" + ) + + self._surface_minor_radius = surface.R_lmn[minor_radius_coef_index] + self._surface_major_radius = surface.R_lmn[major_radius_coef_index] + + self._dim_f = plasma_grid.num_nodes + self._equil_data_keys = ["R", "Z"] + + timer = Timer() + if verbose > 0: + print("Precomputing transforms") + timer.start("Precomputing transforms") + + equil_profiles = get_profiles( + self._equil_data_keys, + obj=eq, + grid=plasma_grid, + has_axis=plasma_grid.axis.size, + ) + equil_transforms = get_transforms( + self._equil_data_keys, + obj=eq, + grid=plasma_grid, + has_axis=plasma_grid.axis.size, + ) + # make the axis from which we will calculate minor radius for the surface + # i.e this is (R0_surface,0) + self._surface_axis_points = np.vstack( + [ + self._surface_major_radius * np.ones(plasma_grid.num_nodes), + np.zeros(plasma_grid.num_nodes), + ] + ).T + + self._constants = { + "transforms": equil_transforms, + "equil_profiles": equil_profiles, + "surface_axis_points": self._surface_axis_points, + } + + timer.stop("Precomputing transforms") + if verbose > 1: + timer.disp("Precomputing transforms") + + if self._normalize: + scales = compute_scaling_factors(eq) + self._normalization = scales["a"] + + super().build(use_jit=use_jit, verbose=verbose) + + def compute(self, equil_params, surface_params, constants=None): + """Compute plasma-surface distance. + + Parameters + ---------- + equil_params : dict + Dictionary of equilibrium degrees of freedom, eg Equilibrium.params_dict + surface_params : dict + Dictionary of surface degrees of freedom, eg Surface.params_dict + constants : dict + Dictionary of constant data, eg transforms, profiles etc. Defaults to + self.constants + + Returns + ------- + d : ndarray, shape(surface_grid.num_nodes,) + For each point in the surface grid, approximate distance to plasma. + + """ + if constants is None: + constants = self.constants + data = compute_fun( + "desc.equilibrium.equilibrium.Equilibrium", + self._equil_data_keys, + params=equil_params, + transforms=constants["transforms"], + profiles=constants["equil_profiles"], + ) + plasma_coords_dist_vectors = jnp.array( + [data["R"] - self._surface_major_radius, data["Z"]] + ).T + + # compute the minor radius of the surface at each point in the plasma grid, + # signed to be positive if plasma inside vessel, and negative if plasma + # outside vessel + d = self._surface_minor_radius - jnp.linalg.norm( + plasma_coords_dist_vectors, axis=-1 + ) + if self._use_signed_distance: + return d + else: + return jnp.abs(d) + + class MeanCurvature(_Objective): """Target a particular value for the mean curvature. diff --git a/tests/test_objective_funs.py b/tests/test_objective_funs.py index c3445d940e..3aa16c7321 100644 --- a/tests/test_objective_funs.py +++ b/tests/test_objective_funs.py @@ -34,6 +34,7 @@ ObjectiveFromUser, ObjectiveFunction, PlasmaVesselDistance, + PlasmaVesselDistanceCircular, Pressure, PrincipalCurvature, QuasisymmetryBoozer, @@ -697,6 +698,56 @@ def test_plasma_vessel_distance(): np.testing.assert_allclose(d, a_s - a_p) +@pytest.mark.unit +def test_circular_plasma_vessel_distance(): + """Test calculation of min distance from plasma to circular vessel.""" + R0 = 10.0 + a_p = 1.0 + a_s = 2.0 + # default eq has R0=10, a=1 + eq = Equilibrium(M=3, N=2) + # surface with same R0, a=2, so true d=1 for all pts + surface = FourierRZToroidalSurface( + R_lmn=[R0, a_s], Z_lmn=[-a_s], modes_R=[[0, 0], [1, 0]], modes_Z=[[-1, 0]] + ) + # For equally spaced grids, should get true d=1 + plas_grid = LinearGrid(M=5, N=6) + obj = PlasmaVesselDistanceCircular(eq=eq, plasma_grid=plas_grid, surface=surface) + obj.build() + d = obj.compute_unscaled(*obj.xs(eq, surface)) + np.testing.assert_allclose(d, a_s - a_p) + + # ensure that it works (dimension-wise) when compute_scaled is called + _ = obj.compute_scaled(*obj.xs(eq, surface)) + + # check warning for non-circular-axisymmetric vessel + a2 = 0.1 + surf = FourierRZToroidalSurface( + R_lmn=[R0, a_s, a2], + Z_lmn=[-a_s], + modes_R=[[0, 0], [1, 0], [0, 1]], + modes_Z=[[-1, 0]], + ) + obj = PlasmaVesselDistanceCircular(surface=surf, plasma_grid=plas_grid, eq=eq) + with pytest.warns(UserWarning): + obj.build() + + # For plasma outside surface, should get signed distance + surface = FourierRZToroidalSurface( + R_lmn=[R0, a_p * 0.5], + Z_lmn=[-a_p * 0.5], + modes_R=[[0, 0], [1, 0]], + modes_Z=[[-1, 0]], + ) + plas_grid = LinearGrid(M=5, N=6) + obj = PlasmaVesselDistanceCircular( + eq=eq, plasma_grid=plas_grid, surface=surface, use_signed_distance=True + ) + obj.build() + d = obj.compute_unscaled(*obj.xs(eq, surface)) + np.testing.assert_allclose(d, -0.5 * a_p) + + @pytest.mark.unit def test_mean_curvature(): """Test for mean curvature objective function.""" From 3027b8d1e820e0514612142345a70bc3e0aaf524 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Wed, 15 Nov 2023 11:52:31 -0500 Subject: [PATCH 02/74] remove unused attribute in doc --- desc/objectives/_geometry.py | 2 -- 1 file changed, 2 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 9a7766c08d..3353fdaa78 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -673,8 +673,6 @@ class PlasmaVesselDistanceCircular(_Objective): Whether target and bounds should be normalized before comparing to computed values. If `normalize` is `True` and the target is in physical units, this should also be set to True. - surface_grid : Grid, optional - Collocation grid containing the nodes to evaluate surface geometry at. plasma_grid : Grid, optional Collocation grid containing the nodes to evaluate plasma geometry at. use_signed_distance: bool, optional From 003deecdd117c8589a2c0b6de871595454d1ce1c Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Thu, 16 Nov 2023 10:52:48 -0500 Subject: [PATCH 03/74] add absolute value to minor radius fetch --- desc/objectives/_geometry.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 3353fdaa78..3d1581427b 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -753,8 +753,8 @@ def build(self, use_jit=True, verbose=1): " circular toroidal bounding surfaces!" ) - self._surface_minor_radius = surface.R_lmn[minor_radius_coef_index] - self._surface_major_radius = surface.R_lmn[major_radius_coef_index] + self._surface_minor_radius = np.abs(surface.R_lmn[minor_radius_coef_index]) + self._surface_major_radius = np.abs(surface.R_lmn[major_radius_coef_index]) self._dim_f = plasma_grid.num_nodes self._equil_data_keys = ["R", "Z"] From 16018794cac8b519c321ff5d5adfb183f97bc717 Mon Sep 17 00:00:00 2001 From: "Dario G. Panici" Date: Sun, 7 Jan 2024 17:12:03 -0500 Subject: [PATCH 04/74] add signed plasmavesseldistance using normal vector and tests, currently only for hardmin --- desc/objectives/_geometry.py | 51 ++++++++++++++++++------- tests/test_objective_funs.py | 48 ++++++++++++++++++++++++ tests/test_optimizer.py | 72 ++++++++++++++++++++++++++++++++++++ 3 files changed, 157 insertions(+), 14 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 60ea91b6ae..e1fe612402 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -7,7 +7,7 @@ from desc.backend import jnp from desc.compute import compute as compute_fun from desc.compute import get_profiles, get_transforms, rpz2xyz -from desc.compute.utils import safenorm +from desc.compute.utils import dot, safenorm from desc.grid import LinearGrid, QuadratureGrid from desc.utils import Timer @@ -525,8 +525,10 @@ class PlasmaVesselDistance(_Objective): Whether to use absolute value of distance or a signed distance, with d being positive if the plasma is inside of the bounding surface, and negative if outside of the bounding surface. - NOTE: signed distance currently only works for circular XS or elliptical XS - axisymmetric winding surfaces. False by default + NOTE: this convention assumes that both surface and equilibrium have + poloidal angles defined such that they are in a right-handed coordinate + system with the surface normal vector pointing outwards + NOTE: only works with use_softmin=False currently surface_fixed: bool, optional Whether the surface the distance from the plasma is computed to is fixed or not. If True, the surface is fixed and its coordinates are @@ -575,8 +577,11 @@ def __init__( self._plasma_grid = plasma_grid self._use_softmin = use_softmin self._use_signed_distance = use_signed_distance - if use_signed_distance: - raise NotImplementedError("this is not yet implemented!") + if use_softmin and use_signed_distance: + warnings.warn( + "signed distance cannot currently" " be used with use_softmin=True!", + UserWarning, + ) self._surface_fixed = surface_fixed self._alpha = alpha super().__init__( @@ -628,7 +633,7 @@ def build(self, use_jit=True, verbose=1): self._dim_f = surface_grid.num_nodes self._equil_data_keys = ["R", "phi", "Z"] - self._surface_data_keys = ["x"] + self._surface_data_keys = ["x", "n_rho"] if self._use_signed_distance else ["x"] timer = Timer() if verbose > 0: @@ -672,15 +677,15 @@ def build(self, use_jit=True, verbose=1): if self._surface_fixed: # precompute the surface coordinates # as the surface is fixed during the optimization - surface_coords = compute_fun( + data_surf = compute_fun( self._surface, self._surface_data_keys, params=self._surface.params_dict, transforms=surface_transforms, profiles={}, basis="xyz", - )["x"] - self._constants["surface_coords"] = surface_coords + ) + self._constants["data_surf"] = data_surf timer.stop("Precomputing transforms") if verbose > 1: @@ -723,22 +728,40 @@ def compute(self, equil_params, surface_params=None, constants=None): ) plasma_coords = rpz2xyz(jnp.array([data["R"], data["phi"], data["Z"]]).T) if self._surface_fixed: - surface_coords = constants["surface_coords"] + data_surf = constants["data_surf"] else: - surface_coords = compute_fun( + data_surf = compute_fun( self._surface, self._surface_data_keys, params=surface_params, transforms=constants["surface_transforms"], profiles={}, basis="xyz", - )["x"] - d = safenorm(plasma_coords[:, None, :] - surface_coords[None, :, :], axis=-1) + ) + + surface_coords = data_surf["x"] + diff_vec = plasma_coords[:, None, :] - surface_coords[None, :, :] + d = safenorm(diff_vec, axis=-1) if self._use_softmin: # do softmin return jnp.apply_along_axis(softmin, 0, d, self._alpha) else: # do hardmin - return d.min(axis=0) + if not self._use_signed_distance: + return d.min(axis=0) + else: + min_inds = d.argmin(axis=0, keepdims=True) + min_ds = jnp.take_along_axis(d, min_inds, axis=0).squeeze() + diff_vecs_at_mins = jnp.take_along_axis( + diff_vec, min_inds[..., None], axis=0 + ).squeeze() + n_rho_dot_diff_vec = dot( + data_surf["n_rho"], diff_vecs_at_mins, axis=-1 + ).squeeze() + # we mult by -1 because diff_vec points from surface to + # the plasma, so + # if plasma is inside the surface, n_rho dot diff vec <0, + # but we define "plasma inside surface" as >0 + return min_ds * jnp.sign(n_rho_dot_diff_vec) * -1 class PlasmaVesselDistanceCircular(_Objective): diff --git a/tests/test_objective_funs.py b/tests/test_objective_funs.py index 4ccb9f3a3a..fabbe303a3 100644 --- a/tests/test_objective_funs.py +++ b/tests/test_objective_funs.py @@ -875,6 +875,54 @@ def test_circular_plasma_vessel_distance(): np.testing.assert_allclose(d, -0.5 * a_p) +@pytest.mark.unit +def test_signed_plasma_vessel_distance(): + """Test calculation of signed distance from plasma to vessel.""" + R0 = 10.0 + a_p = 1.0 + a_s = 2.0 + # default eq has R0=10, a=1 + eq = Equilibrium(M=3, N=2) + # surface with same R0, a=2, so true d=1 for all pts + surface = FourierRZToroidalSurface( + R_lmn=[R0, a_s], Z_lmn=[-a_s], modes_R=[[0, 0], [1, 0]], modes_Z=[[-1, 0]] + ) + # For equally spaced grids, should get true d=1 + grid = LinearGrid(M=5, N=6) + obj = PlasmaVesselDistance( + eq=eq, + surface_grid=grid, + plasma_grid=grid, + surface=surface, + use_signed_distance=True, + ) + obj.build() + d = obj.compute_unscaled(*obj.xs(eq, surface)) + np.testing.assert_allclose(d, a_s - a_p) + + # ensure that it works (dimension-wise) when compute_scaled is called + _ = obj.compute_scaled(*obj.xs(eq, surface)) + + # For plasma outside surface, should get signed distance + surface = FourierRZToroidalSurface( + R_lmn=[R0, a_p * 0.5], + Z_lmn=[-a_p * 0.5], + modes_R=[[0, 0], [1, 0]], + modes_Z=[[-1, 0]], + ) + grid = LinearGrid(M=5, N=6) + obj = PlasmaVesselDistance( + eq=eq, + surface_grid=grid, + plasma_grid=grid, + surface=surface, + use_signed_distance=True, + ) + obj.build() + d = obj.compute_unscaled(*obj.xs(eq, surface)) + np.testing.assert_allclose(d, -0.5 * a_p) + + @pytest.mark.unit def test_mean_curvature(): """Test for mean curvature objective function.""" diff --git a/tests/test_optimizer.py b/tests/test_optimizer.py index 34118cf049..72e5860832 100644 --- a/tests/test_optimizer.py +++ b/tests/test_optimizer.py @@ -1017,3 +1017,75 @@ def test_proximal_with_PlasmaVesselDistance(): verbose=3, maxiter=3, ) + + # check that works with signed distance + a = 0.5 + R0 = 4 + surf = FourierRZToroidalSurface( + R_lmn=[R0, a], + Z_lmn=[0.0, -a], + modes_R=np.array([[0, 0], [1, 0]]), + modes_Z=np.array([[0, 0], [-1, 0]]), + sym=True, + NFP=eq.NFP, + ) + obj = PlasmaVesselDistance( + surface=surf, + eq=eq, + target=0.5, + plasma_grid=grid, + surface_fixed=True, + use_signed_distance=True, + ) + objective = ObjectiveFunction((obj,)) + + optimizer = Optimizer("proximal-lsq-exact") + eq, result = optimizer.optimize( + eq, + objective, + constraints, + verbose=3, + maxiter=3, + ) + + np.testing.assert_allclose(obj.compute(*obj.xs(eq)), 0.5, rtol=1e-2) + + +@pytest.mark.slow +@pytest.mark.unit +@pytest.mark.optimize +def test_signed_PlasmaVesselDistance(): + """Tests that signed distance works with surface optimization.""" + eq = desc.examples.get("SOLOVEV") + + constraints = (FixParameter(eq),) # don't want eq to change + # circular surface + a = 0.5 + R0 = 4 + surf = FourierRZToroidalSurface( + R_lmn=[R0, a], + Z_lmn=[0.0, -a], + modes_R=np.array([[0, 0], [1, 0]]), + modes_Z=np.array([[0, 0], [-1, 0]]), + sym=True, + NFP=eq.NFP, + ) + surf.change_resolution(M=2) + + grid = LinearGrid(M=eq.M * 2, N=0, NFP=eq.NFP) + obj = PlasmaVesselDistance( + surface=surf, + eq=eq, + target=0.5, + surface_grid=grid, + plasma_grid=grid, + use_signed_distance=True, + ) + objective = ObjectiveFunction((obj,)) + + optimizer = Optimizer("lsq-exact") + (eq, surf), result = optimizer.optimize( + (eq, surf), objective, constraints, verbose=3, maxiter=30, ftol=1e-4 + ) + + np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), 0.5, atol=1e-2) From fa19f8d53b1d3d62ad3b4e14f7ad19bc8ee9a155 Mon Sep 17 00:00:00 2001 From: "Dario G. Panici" Date: Sun, 7 Jan 2024 17:23:08 -0500 Subject: [PATCH 05/74] update changelog --- CHANGELOG.md | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/CHANGELOG.md b/CHANGELOG.md index 8e8ac03330..f7179cbd25 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -11,6 +11,10 @@ object e.g. optimizing only a ``FourierRZToroidalSurface`` object to have a cert ``Volume``. - Many functions from ``desc.plotting`` now also work for plotting quantities from ``Curve`` and ``Surface`` classes. +- Adds ``PlasmaVesselDistanceCircular`` as an objective, which is a simpler +way to calculate the plasma-vessel separation when the vessel is a circular +axisymmetric torus +- Add ``use_signed_distance`` flag to ``PlasmaVesselDistance`` and ``PlasmaVesselDistanceCircular`` which will use a signed distance as the target, which is positive when the plasma is inside of the vessel surface and negative if the plasma is outside of the vessel surface, to allow optimizer to distinguish if the equilbrium surface exits the vessel surface and guard against it by targeting a positive signed distance. v0.10.3 ------- From a492e97674edf46b61aca855020e81b8e6ac79a9 Mon Sep 17 00:00:00 2001 From: "Dario G. Panici" Date: Sun, 7 Jan 2024 17:42:40 -0500 Subject: [PATCH 06/74] add surface fixed to PlasmaVesselDistanceCircular --- desc/objectives/_geometry.py | 43 ++++++++++++++++++++++-------------- tests/test_objective_funs.py | 20 +++++++++++++++-- 2 files changed, 45 insertions(+), 18 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index e1fe612402..98defdf778 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -811,8 +811,13 @@ class PlasmaVesselDistanceCircular(_Objective): Whether to use absolute value of distance or a signed distance, with d being positive if the plasma is inside of the bounding surface, and negative if outside of the bounding surface. - NOTE: signed distance currently only works for circular XS or elliptical XS - axisymmetric winding surfaces. False by default + surface_fixed: bool, optional + Whether the surface the distance from the plasma is computed to + is fixed or not. If True, the surface is fixed and its radius and axis are + precomputed, which saves on computation time during optimization, and + self.things = [eq] only. + If False, the surface geometry parameters are computed at every iteration. + False by default, so that self.things = [eq, surface] name : str, optional Name of the objective function. """ @@ -832,6 +837,7 @@ def __init__( normalize_target=True, plasma_grid=None, use_signed_distance=False, + surface_fixed=False, name="plasma-circular-vessel distance", ): if target is None and bounds is None: @@ -839,8 +845,9 @@ def __init__( self._surface = surface self._plasma_grid = plasma_grid self._use_signed_distance = use_signed_distance + self._surface_fixed = surface_fixed super().__init__( - things=[eq, self._surface], + things=[eq, self._surface] if not surface_fixed else [eq], target=target, bounds=bounds, weight=weight, @@ -885,6 +892,9 @@ def build(self, use_jit=True, verbose=1): " circular toroidal bounding surfaces!" ) + self._surface_minor_radius_coef_index = minor_radius_coef_index + self._surface_major_radius_coef_index = major_radius_coef_index + self._surface_minor_radius = np.abs(surface.R_lmn[minor_radius_coef_index]) self._surface_major_radius = np.abs(surface.R_lmn[major_radius_coef_index]) @@ -908,19 +918,10 @@ def build(self, use_jit=True, verbose=1): grid=plasma_grid, has_axis=plasma_grid.axis.size, ) - # make the axis from which we will calculate minor radius for the surface - # i.e this is (R0_surface,0) - self._surface_axis_points = np.vstack( - [ - self._surface_major_radius * np.ones(plasma_grid.num_nodes), - np.zeros(plasma_grid.num_nodes), - ] - ).T self._constants = { "transforms": equil_transforms, "equil_profiles": equil_profiles, - "surface_axis_points": self._surface_axis_points, } timer.stop("Precomputing transforms") @@ -961,16 +962,26 @@ def compute(self, equil_params, surface_params, constants=None): transforms=constants["transforms"], profiles=constants["equil_profiles"], ) + + if self._surface_fixed: + surface_major_radius = self._surface_major_radius + surface_minor_radius = self._surface_minor_radius + else: + surface_minor_radius = jnp.abs( + surface_params["R_lmn"][self._surface_minor_radius_coef_index] + ) + surface_major_radius = jnp.abs( + surface_params["R_lmn"][self._surface_major_radius_coef_index] + ) + plasma_coords_dist_vectors = jnp.array( - [data["R"] - self._surface_major_radius, data["Z"]] + [data["R"] - surface_major_radius, data["Z"]] ).T # compute the minor radius of the surface at each point in the plasma grid, # signed to be positive if plasma inside vessel, and negative if plasma # outside vessel - d = self._surface_minor_radius - jnp.linalg.norm( - plasma_coords_dist_vectors, axis=-1 - ) + d = surface_minor_radius - jnp.linalg.norm(plasma_coords_dist_vectors, axis=-1) if self._use_signed_distance: return d else: diff --git a/tests/test_objective_funs.py b/tests/test_objective_funs.py index fabbe303a3..217c5e7e15 100644 --- a/tests/test_objective_funs.py +++ b/tests/test_objective_funs.py @@ -837,7 +837,7 @@ def test_circular_plasma_vessel_distance(): surface = FourierRZToroidalSurface( R_lmn=[R0, a_s], Z_lmn=[-a_s], modes_R=[[0, 0], [1, 0]], modes_Z=[[-1, 0]] ) - # For equally spaced grids, should get true d=1 + plas_grid = LinearGrid(M=5, N=6) obj = PlasmaVesselDistanceCircular(eq=eq, plasma_grid=plas_grid, surface=surface) obj.build() @@ -868,12 +868,28 @@ def test_circular_plasma_vessel_distance(): ) plas_grid = LinearGrid(M=5, N=6) obj = PlasmaVesselDistanceCircular( - eq=eq, plasma_grid=plas_grid, surface=surface, use_signed_distance=True + eq=eq, + plasma_grid=plas_grid, + surface=surface, + surface_fixed=False, + use_signed_distance=True, ) obj.build() d = obj.compute_unscaled(*obj.xs(eq, surface)) np.testing.assert_allclose(d, -0.5 * a_p) + # with surface_fixed=True + obj = PlasmaVesselDistanceCircular( + eq=eq, + plasma_grid=plas_grid, + surface=surface, + surface_fixed=True, + use_signed_distance=True, + ) + obj.build() + d = obj.compute_unscaled(*obj.xs(eq)) + np.testing.assert_allclose(d, -0.5 * a_p) + @pytest.mark.unit def test_signed_plasma_vessel_distance(): From ad3a01533aa198551c5b0bfc765b86650e50ebe8 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Sun, 7 Jan 2024 19:21:07 -0500 Subject: [PATCH 07/74] fix surface_fixed flag for PlasmaVesselDistanceCircular --- desc/objectives/_geometry.py | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 98defdf778..5e856ada5d 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -868,7 +868,7 @@ def build(self, use_jit=True, verbose=1): """ eq = self.things[0] - surface = self.things[1] + surface = self._surface if self._surface_fixed else self.things[1] # if things[1] is different than self._surface, update self._surface if surface != self._surface: self._surface = surface @@ -934,7 +934,7 @@ def build(self, use_jit=True, verbose=1): super().build(use_jit=use_jit, verbose=verbose) - def compute(self, equil_params, surface_params, constants=None): + def compute(self, equil_params, surface_params=None, constants=None): """Compute plasma-surface distance. Parameters @@ -943,6 +943,7 @@ def compute(self, equil_params, surface_params, constants=None): Dictionary of equilibrium degrees of freedom, eg Equilibrium.params_dict surface_params : dict Dictionary of surface degrees of freedom, eg Surface.params_dict + Only needed if self._surface_fixed = False constants : dict Dictionary of constant data, eg transforms, profiles etc. Defaults to self.constants From 4383407be39139a8310b803d4f7b385097d4122c Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Sun, 7 Jan 2024 20:05:59 -0500 Subject: [PATCH 08/74] fix tests --- tests/test_optimizer.py | 35 +---------------------------------- 1 file changed, 1 insertion(+), 34 deletions(-) diff --git a/tests/test_optimizer.py b/tests/test_optimizer.py index 72e5860832..4361bd71a5 100644 --- a/tests/test_optimizer.py +++ b/tests/test_optimizer.py @@ -997,8 +997,7 @@ def test_proximal_with_PlasmaVesselDistance(): objective = ObjectiveFunction((obj,)) optimizer = Optimizer("proximal-lsq-exact") - eq, result = optimizer.optimize( - eq, + eq.optimize( objective, constraints, verbose=3, @@ -1018,38 +1017,6 @@ def test_proximal_with_PlasmaVesselDistance(): maxiter=3, ) - # check that works with signed distance - a = 0.5 - R0 = 4 - surf = FourierRZToroidalSurface( - R_lmn=[R0, a], - Z_lmn=[0.0, -a], - modes_R=np.array([[0, 0], [1, 0]]), - modes_Z=np.array([[0, 0], [-1, 0]]), - sym=True, - NFP=eq.NFP, - ) - obj = PlasmaVesselDistance( - surface=surf, - eq=eq, - target=0.5, - plasma_grid=grid, - surface_fixed=True, - use_signed_distance=True, - ) - objective = ObjectiveFunction((obj,)) - - optimizer = Optimizer("proximal-lsq-exact") - eq, result = optimizer.optimize( - eq, - objective, - constraints, - verbose=3, - maxiter=3, - ) - - np.testing.assert_allclose(obj.compute(*obj.xs(eq)), 0.5, rtol=1e-2) - @pytest.mark.slow @pytest.mark.unit From 985d40cb3823ed80c4d93b60e50116986890a25d Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Sun, 7 Jan 2024 20:19:58 -0500 Subject: [PATCH 09/74] fix args in test --- tests/test_optimizer.py | 31 +++++++++++++++++++++++++++++++ 1 file changed, 31 insertions(+) diff --git a/tests/test_optimizer.py b/tests/test_optimizer.py index 4361bd71a5..0485493680 100644 --- a/tests/test_optimizer.py +++ b/tests/test_optimizer.py @@ -34,6 +34,7 @@ MeanCurvature, ObjectiveFunction, PlasmaVesselDistance, + PlasmaVesselDistanceCircular, Volume, get_fixed_boundary_constraints, ) @@ -1056,3 +1057,33 @@ def test_signed_PlasmaVesselDistance(): ) np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), 0.5, atol=1e-2) + + # test with circular surface and changing eq + a = 0.75 + R0 = 10 + surf = FourierRZToroidalSurface( + R_lmn=[R0, a], + Z_lmn=[0.0, -a], + modes_R=np.array([[0, 0], [1, 0]]), + modes_Z=np.array([[0, 0], [-1, 0]]), + sym=True, + NFP=eq.NFP, + ) + # not caring about force balance, just want the eq surface to become circular + eq = Equilibrium(L=2, M=2, NFP=1, sym=True) + constraints = (FixParameter(surf), FixPressure(eq), FixCurrent(eq), FixPsi(eq)) + obj = PlasmaVesselDistanceCircular( + surface=surf, + eq=eq, + target=0.5, + plasma_grid=grid, + use_signed_distance=True, + ) + objective = ObjectiveFunction((obj,)) + + optimizer = Optimizer("lsq-exact") + (eq, surf), result = optimizer.optimize( + (eq, surf), objective, constraints, verbose=3, maxiter=30, ftol=1e-4 + ) + + np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), 0.5, atol=1e-2) From 2fcfb70234c562179763eb5551d7f843f5d115d8 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Sun, 7 Jan 2024 21:24:17 -0500 Subject: [PATCH 10/74] increase test coverage --- tests/test_objective_funs.py | 10 ++++++++-- 1 file changed, 8 insertions(+), 2 deletions(-) diff --git a/tests/test_objective_funs.py b/tests/test_objective_funs.py index 217c5e7e15..2378f62e50 100644 --- a/tests/test_objective_funs.py +++ b/tests/test_objective_funs.py @@ -838,8 +838,7 @@ def test_circular_plasma_vessel_distance(): R_lmn=[R0, a_s], Z_lmn=[-a_s], modes_R=[[0, 0], [1, 0]], modes_Z=[[-1, 0]] ) - plas_grid = LinearGrid(M=5, N=6) - obj = PlasmaVesselDistanceCircular(eq=eq, plasma_grid=plas_grid, surface=surface) + obj = PlasmaVesselDistanceCircular(eq=eq, surface=surface) obj.build() d = obj.compute_unscaled(*obj.xs(eq, surface)) np.testing.assert_allclose(d, a_s - a_p) @@ -855,7 +854,14 @@ def test_circular_plasma_vessel_distance(): modes_R=[[0, 0], [1, 0], [0, 1]], modes_Z=[[-1, 0]], ) + plas_grid = LinearGrid(M=5, N=6) obj = PlasmaVesselDistanceCircular(surface=surf, plasma_grid=plas_grid, eq=eq) + with pytest.warns(UserWarning): + obj.build() + # check warning for grid with non-unity rho + obj = PlasmaVesselDistanceCircular( + surface=surf, plasma_grid=LinearGrid(rho=np.array(0.9)), eq=eq + ) with pytest.warns(UserWarning): obj.build() From 35fc568a09d9c9e82cc9a5074078b07c379fd321 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Sun, 7 Jan 2024 21:49:43 -0500 Subject: [PATCH 11/74] use nonaxisymmetric eq for test --- tests/test_optimizer.py | 11 +++++------ 1 file changed, 5 insertions(+), 6 deletions(-) diff --git a/tests/test_optimizer.py b/tests/test_optimizer.py index 0485493680..48a13705ab 100644 --- a/tests/test_optimizer.py +++ b/tests/test_optimizer.py @@ -1024,12 +1024,12 @@ def test_proximal_with_PlasmaVesselDistance(): @pytest.mark.optimize def test_signed_PlasmaVesselDistance(): """Tests that signed distance works with surface optimization.""" - eq = desc.examples.get("SOLOVEV") + eq = desc.examples.get("HELIOTRON") constraints = (FixParameter(eq),) # don't want eq to change # circular surface a = 0.5 - R0 = 4 + R0 = 10 surf = FourierRZToroidalSurface( R_lmn=[R0, a], Z_lmn=[0.0, -a], @@ -1038,9 +1038,9 @@ def test_signed_PlasmaVesselDistance(): sym=True, NFP=eq.NFP, ) - surf.change_resolution(M=2) + surf.change_resolution(M=2, N=2) - grid = LinearGrid(M=eq.M * 2, N=0, NFP=eq.NFP) + grid = LinearGrid(M=eq.M * 2, N=eq.N * 2) obj = PlasmaVesselDistance( surface=surf, eq=eq, @@ -1053,7 +1053,7 @@ def test_signed_PlasmaVesselDistance(): optimizer = Optimizer("lsq-exact") (eq, surf), result = optimizer.optimize( - (eq, surf), objective, constraints, verbose=3, maxiter=30, ftol=1e-4 + (eq, surf), objective, constraints, verbose=3, maxiter=60, ftol=1e-8, xtol=1e-6 ) np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), 0.5, atol=1e-2) @@ -1070,7 +1070,6 @@ def test_signed_PlasmaVesselDistance(): NFP=eq.NFP, ) # not caring about force balance, just want the eq surface to become circular - eq = Equilibrium(L=2, M=2, NFP=1, sym=True) constraints = (FixParameter(surf), FixPressure(eq), FixCurrent(eq), FixPsi(eq)) obj = PlasmaVesselDistanceCircular( surface=surf, From 15808d7ea05bcfec7924eedb14bc69bcc8ee34dd Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Mon, 20 May 2024 09:59:30 -0400 Subject: [PATCH 12/74] implement algorithm for signed distance --- desc/objectives/_geometry.py | 129 +++++++++++++++++++++++++++++++---- tests/test_optimizer.py | 4 +- 2 files changed, 116 insertions(+), 17 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 1feba2ba6d..d645fded12 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -6,10 +6,10 @@ from desc.backend import jnp from desc.compute import compute as compute_fun -from desc.compute import get_profiles, get_transforms, rpz2xyz -from desc.compute.utils import dot, safenorm +from desc.compute import get_profiles, get_transforms, rpz2xyz, xyz2rpz +from desc.compute.utils import safenorm from desc.grid import LinearGrid, QuadratureGrid -from desc.utils import Timer +from desc.utils import Timer, errorif from .normalization import compute_scaling_factors from .objective_funs import _Objective @@ -571,6 +571,8 @@ class PlasmaVesselDistance(_Objective): Whether to use absolute value of distance or a signed distance, with d being positive if the plasma is inside of the bounding surface, and negative if outside of the bounding surface. + NOTE: ``plasma_grid`` and ``surface_grid`` must have the same + toroidal angle values for signed distance to be used. NOTE: this convention assumes that both surface and equilibrium have poloidal angles defined such that they are in a right-handed coordinate system with the surface normal vector pointing outwards @@ -677,6 +679,18 @@ def build(self, use_jit=True, verbose=1): if not np.allclose(plasma_grid.nodes[:, 0], 1): warnings.warn("Plasma grid includes interior points, should be rho=1") + # TODO: How to use with generalized toroidal angle? + errorif( + self._use_signed_distance + and not np.allclose( + plasma_grid.nodes[plasma_grid.unique_zeta_idx, 2], + surface_grid.nodes[surface_grid.unique_zeta_idx, 2], + ), + ValueError, + "Plasma grid and surface grid must contain points only at the " + "same zeta values in order to use signed distance", + ) + self._dim_f = surface_grid.num_nodes self._equil_data_keys = ["R", "phi", "Z"] self._surface_data_keys = ["x", "n_rho"] if self._use_signed_distance else ["x"] @@ -719,6 +733,21 @@ def build(self, use_jit=True, verbose=1): "quad_weights": w, } + if self._use_signed_distance: + # get the indices corresponding to the grid points + # at each distinct zeta plane, so that can be used + # in compute to separate the computed pts by zeta plane + zetas = plasma_grid.nodes[plasma_grid.unique_zeta_idx, 2] + plasma_zeta_indices = [ + np.where(np.isclose(plasma_grid.nodes[:, 2], zeta))[0] for zeta in zetas + ] + surface_zeta_indices = [ + np.where(np.isclose(surface_grid.nodes[:, 2], zeta))[0] + for zeta in zetas + ] + self._constants["plasma_zeta_indices"] = plasma_zeta_indices + self._constants["surface_zeta_indices"] = surface_zeta_indices + if self._surface_fixed: # precompute the surface coordinates # as the surface is fixed during the optimization @@ -771,7 +800,8 @@ def compute(self, equil_params, surface_params=None, constants=None): transforms=constants["equil_transforms"], profiles=constants["equil_profiles"], ) - plasma_coords = rpz2xyz(jnp.array([data["R"], data["phi"], data["Z"]]).T) + plasma_coords_rpz = jnp.array([data["R"], data["phi"], data["Z"]]).T + plasma_coords = rpz2xyz(plasma_coords_rpz) if self._surface_fixed: data_surf = constants["data_surf"] else: @@ -794,19 +824,88 @@ def compute(self, equil_params, surface_params=None, constants=None): if not self._use_signed_distance: return d.min(axis=0) else: + surface_coords_rpz = xyz2rpz(surface_coords) + + # TODO: currently this fxn only works on one pt + # on surface at a time so we need 2 for loops, vectorize it + def _find_angle_vec(R, Z, Rtest, Ztest): + # R Z and surface points, + # Rtest Ztest are the point we wanna check is inside + # the surfaceor not + + # R Z can be vectors? + Rbool = R > Rtest + Zbool = Z > Ztest + return_data = jnp.zeros_like(R) + return_data = jnp.where( + jnp.logical_and(Rbool, Zbool), 0, return_data + ) + return_data = jnp.where( + jnp.logical_and(jnp.logical_not(Rbool), Zbool), 1, return_data + ) + return_data = jnp.where( + jnp.logical_and(jnp.logical_not(Rbool), jnp.logical_not(Zbool)), + 2, + return_data, + ) + return_data = jnp.where( + jnp.logical_and(Rbool, jnp.logical_not(Zbool)), 3, return_data + ) + return return_data + + point_signs = jnp.zeros(plasma_coords.shape[0]) + for plasma_zeta_idx, surface_zeta_idx in zip( + constants["plasma_zeta_indices"], constants["surface_zeta_indices"] + ): + plasma_pts_at_zeta_plane = plasma_coords_rpz[plasma_zeta_idx, :] + surface_pts_at_zeta_plane = surface_coords_rpz[surface_zeta_idx, :] + surface_pts_at_zeta_plane = jnp.vstack( + (surface_pts_at_zeta_plane, surface_pts_at_zeta_plane[0, :]) + ) + for i, plasma_pt in enumerate(plasma_pts_at_zeta_plane): + quads = _find_angle_vec( + surface_pts_at_zeta_plane[:, 0], + surface_pts_at_zeta_plane[:, 2], + plasma_pt[0], + plasma_pt[2], + ) + deltas = quads[1:] - quads[0:-1] + deltas = jnp.where(deltas == 3, -1, deltas) + deltas = jnp.where(deltas == -3, 1, deltas) + # then flip sign if the R intercept is > Rtest and the + # quadrant flipped over a diagonal + R = surface_pts_at_zeta_plane[:, 0] + Z = surface_pts_at_zeta_plane[:, 2] + b = (Z[1:] / R[1:] - Z[0:-1] / R[0:-1]) / (Z[1:] - Z[0:-1]) + Rint = plasma_pt[0, None] - b * (R[1:] - R[0:-1]) / ( + Z[1:] - Z[0:-1] + ) + deltas = jnp.where( + jnp.logical_and(jnp.abs(deltas) == 2, Rint > plasma_pt[0]), + -deltas, + deltas, + ) + pt_sign = jnp.sum(deltas) + # positive distance if the plasma pt is inside the surface, else + # negative distance is assigned + pt_sign = jnp.where(jnp.isclose(pt_sign, 0), -1, 1) + # need to assign to the correct index of the point on the plasma + point_signs = point_signs.at[plasma_zeta_idx[i]].set(pt_sign) + # at end here, point_signs is either +/- 1 with + # positive meaning the plasma pt + # is inside the surface and -1 if the plasma pt is + # outside the surface + + # FIXME" the min dists are per surface point, not per plasma pt, + # so need to re-arrange above so it says ifthe SURFACE is + # inside the plasma + # or not (and mult by a negative one since its the opposite + # convention now) + min_inds = d.argmin(axis=0, keepdims=True) min_ds = jnp.take_along_axis(d, min_inds, axis=0).squeeze() - diff_vecs_at_mins = jnp.take_along_axis( - diff_vec, min_inds[..., None], axis=0 - ).squeeze() - n_rho_dot_diff_vec = dot( - data_surf["n_rho"], diff_vecs_at_mins, axis=-1 - ).squeeze() - # we mult by -1 because diff_vec points from surface to - # the plasma, so - # if plasma is inside the surface, n_rho dot diff vec <0, - # but we define "plasma inside surface" as >0 - return min_ds * jnp.sign(n_rho_dot_diff_vec) * -1 + + return min_ds * point_signs class PlasmaVesselDistanceCircular(_Objective): diff --git a/tests/test_optimizer.py b/tests/test_optimizer.py index 524350c932..cafb2ac942 100644 --- a/tests/test_optimizer.py +++ b/tests/test_optimizer.py @@ -1058,7 +1058,7 @@ def test_signed_PlasmaVesselDistance(): ) surf.change_resolution(M=2, N=2) - grid = LinearGrid(M=eq.M * 2, N=eq.N * 2) + grid = LinearGrid(M=6, N=6, NFP=eq.NFP) obj = PlasmaVesselDistance( surface=surf, eq=eq, @@ -1070,7 +1070,7 @@ def test_signed_PlasmaVesselDistance(): objective = ObjectiveFunction((obj,)) optimizer = Optimizer("lsq-exact") - (eq, surf), result = optimizer.optimize( + (eq, surf), _ = optimizer.optimize( (eq, surf), objective, constraints, verbose=3, maxiter=60, ftol=1e-8, xtol=1e-6 ) From cf9a4c6d7205b8dd9e3d73e400cbfdfc03e4f5ad Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Mon, 20 May 2024 13:21:29 -0400 Subject: [PATCH 13/74] add signed distance (with for loop implementation) and tests --- desc/objectives/_geometry.py | 43 +++++++++++++++++------------------- tests/test_optimizer.py | 21 ++++++------------ 2 files changed, 27 insertions(+), 37 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index d645fded12..3dd822f4f5 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -853,54 +853,51 @@ def _find_angle_vec(R, Z, Rtest, Ztest): ) return return_data - point_signs = jnp.zeros(plasma_coords.shape[0]) + point_signs = jnp.zeros(surface_coords.shape[0]) for plasma_zeta_idx, surface_zeta_idx in zip( constants["plasma_zeta_indices"], constants["surface_zeta_indices"] ): plasma_pts_at_zeta_plane = plasma_coords_rpz[plasma_zeta_idx, :] surface_pts_at_zeta_plane = surface_coords_rpz[surface_zeta_idx, :] - surface_pts_at_zeta_plane = jnp.vstack( - (surface_pts_at_zeta_plane, surface_pts_at_zeta_plane[0, :]) + plasma_pts_at_zeta_plane = jnp.vstack( + (plasma_pts_at_zeta_plane, plasma_pts_at_zeta_plane[0, :]) ) - for i, plasma_pt in enumerate(plasma_pts_at_zeta_plane): + for i, surf_pt in enumerate(surface_pts_at_zeta_plane): quads = _find_angle_vec( - surface_pts_at_zeta_plane[:, 0], - surface_pts_at_zeta_plane[:, 2], - plasma_pt[0], - plasma_pt[2], + plasma_pts_at_zeta_plane[:, 0], + plasma_pts_at_zeta_plane[:, 2], + surf_pt[0], + surf_pt[2], ) deltas = quads[1:] - quads[0:-1] deltas = jnp.where(deltas == 3, -1, deltas) deltas = jnp.where(deltas == -3, 1, deltas) # then flip sign if the R intercept is > Rtest and the # quadrant flipped over a diagonal - R = surface_pts_at_zeta_plane[:, 0] - Z = surface_pts_at_zeta_plane[:, 2] + R = plasma_pts_at_zeta_plane[:, 0] + Z = plasma_pts_at_zeta_plane[:, 2] b = (Z[1:] / R[1:] - Z[0:-1] / R[0:-1]) / (Z[1:] - Z[0:-1]) - Rint = plasma_pt[0, None] - b * (R[1:] - R[0:-1]) / ( + Rint = surf_pt[0, None] - b * (R[1:] - R[0:-1]) / ( Z[1:] - Z[0:-1] ) deltas = jnp.where( - jnp.logical_and(jnp.abs(deltas) == 2, Rint > plasma_pt[0]), + jnp.logical_and(jnp.abs(deltas) == 2, Rint > surf_pt[0]), -deltas, deltas, ) pt_sign = jnp.sum(deltas) + # here, if pt_sign is +/-4,means that SURFACE is inside PLASMA + # while if 0, means SURFACE is outside PLASMA + # positive distance if the plasma pt is inside the surface, else # negative distance is assigned - pt_sign = jnp.where(jnp.isclose(pt_sign, 0), -1, 1) - # need to assign to the correct index of the point on the plasma - point_signs = point_signs.at[plasma_zeta_idx[i]].set(pt_sign) + pt_sign = jnp.where(jnp.isclose(pt_sign, 0), 1, -1) + # need to assign to correct index of the point on the surface + point_signs = point_signs.at[surface_zeta_idx[i]].set(pt_sign) # at end here, point_signs is either +/- 1 with - # positive meaning the plasma pt - # is inside the surface and -1 if the plasma pt is - # outside the surface - - # FIXME" the min dists are per surface point, not per plasma pt, - # so need to re-arrange above so it says ifthe SURFACE is + # positive meaning the surface pt + # is outside the plasma and -1 if the surface pt is # inside the plasma - # or not (and mult by a negative one since its the opposite - # convention now) min_inds = d.argmin(axis=0, keepdims=True) min_ds = jnp.take_along_axis(d, min_inds, axis=0).squeeze() diff --git a/tests/test_optimizer.py b/tests/test_optimizer.py index cafb2ac942..513dae73c3 100644 --- a/tests/test_optimizer.py +++ b/tests/test_optimizer.py @@ -1048,21 +1048,14 @@ def test_signed_PlasmaVesselDistance(): # circular surface a = 0.5 R0 = 10 - surf = FourierRZToroidalSurface( - R_lmn=[R0, a], - Z_lmn=[0.0, -a], - modes_R=np.array([[0, 0], [1, 0]]), - modes_Z=np.array([[0, 0], [-1, 0]]), - sym=True, - NFP=eq.NFP, - ) - surf.change_resolution(M=2, N=2) + surf = eq.surface.copy() + surf.change_resolution(M=1, N=1) - grid = LinearGrid(M=6, N=6, NFP=eq.NFP) + grid = LinearGrid(M=eq.M, N=eq.N, NFP=eq.NFP) obj = PlasmaVesselDistance( surface=surf, eq=eq, - target=0.5, + target=-0.25, surface_grid=grid, plasma_grid=grid, use_signed_distance=True, @@ -1071,10 +1064,10 @@ def test_signed_PlasmaVesselDistance(): optimizer = Optimizer("lsq-exact") (eq, surf), _ = optimizer.optimize( - (eq, surf), objective, constraints, verbose=3, maxiter=60, ftol=1e-8, xtol=1e-6 + (eq, surf), objective, constraints, verbose=3, maxiter=60, ftol=1e-8, xtol=1e-9 ) - np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), 0.5, atol=1e-2) + np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), -0.25, atol=1e-2) # test with circular surface and changing eq a = 0.75 @@ -1088,7 +1081,7 @@ def test_signed_PlasmaVesselDistance(): NFP=eq.NFP, ) # not caring about force balance, just want the eq surface to become circular - constraints = (FixParameters(surf), FixPressure(eq), FixCurrent(eq), FixPsi(eq)) + constraints = (FixParameters(surf), FixPressure(eq), FixIota(eq), FixPsi(eq)) obj = PlasmaVesselDistanceCircular( surface=surf, eq=eq, From 0ab58884628f30692ba4de72b1324ec085651ef0 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Mon, 20 May 2024 14:44:06 -0400 Subject: [PATCH 14/74] fix tests --- tests/test_objective_funs.py | 33 +++++++++++++++++++++++++++++++++ 1 file changed, 33 insertions(+) diff --git a/tests/test_objective_funs.py b/tests/test_objective_funs.py index f50f575f3a..ff7cbe0e23 100644 --- a/tests/test_objective_funs.py +++ b/tests/test_objective_funs.py @@ -2022,6 +2022,7 @@ class TestComputeScalarResolution: specials = [ # these require special logic PlasmaVesselDistance, + PlasmaVesselDistanceCircular, BootstrapRedlConsistency, BoundaryError, VacuumBoundaryError, @@ -2065,6 +2066,27 @@ def test_compute_scalar_resolution_plasma_vessel(self): f[i] = obj.compute_scalar(obj.x()) np.testing.assert_allclose(f, f[-1], rtol=5e-2) + @pytest.mark.regression + def test_compute_scalar_resolution_plasma_vessel_circular(self): + """PlasmaVesselDistanceCircular.""" + f = np.zeros_like(self.res_array, dtype=float) + surface = FourierRZToroidalSurface( + R_lmn=[10, 1.5], Z_lmn=[-1.5], modes_R=[[0, 0], [1, 0]], modes_Z=[[-1, 0]] + ) + for i, res in enumerate(self.res_array): + grid = LinearGrid( + M=int(self.eq.M * res), N=int(self.eq.N * res), NFP=self.eq.NFP + ) + obj = ObjectiveFunction( + PlasmaVesselDistanceCircular( + surface=surface, eq=self.eq, plasma_grid=grid + ), + use_jit=False, + ) + obj.build(verbose=0) + f[i] = obj.compute_scalar(obj.x()) + np.testing.assert_allclose(f, f[-1], rtol=5e-2) + @pytest.mark.regression def test_compute_scalar_resolution_bootstrap(self): """BootstrapRedlConsistency.""" @@ -2346,6 +2368,7 @@ class TestObjectiveNaNGrad: specials = [ # these require special logic PlasmaVesselDistance, + PlasmaVesselDistanceCircular, ForceBalanceAnisotropic, BootstrapRedlConsistency, BoundaryError, @@ -2375,6 +2398,16 @@ def test_objective_no_nangrad_plasma_vessel(self): g = obj.grad(obj.x(eq, surf)) assert not np.any(np.isnan(g)), "plasma vessel distance" + @pytest.mark.unit + def test_objective_no_nangrad_plasma_vessel_circular(self): + """PlasmaVesselDistanceCircular.""" + eq = Equilibrium(L=2, M=2, N=2) + surf = FourierRZToroidalSurface() + obj = ObjectiveFunction(PlasmaVesselDistanceCircular(eq, surf), use_jit=False) + obj.build() + g = obj.grad(obj.x(eq, surf)) + assert not np.any(np.isnan(g)), "plasma vessel distance circular" + @pytest.mark.unit def test_objective_no_nangrad_anisotropy(self): """ForceBalanceAnisotropic.""" From 017599b6b77bb601ba2280213ec223c446d53b8e Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Mon, 20 May 2024 15:17:15 -0400 Subject: [PATCH 15/74] fix import --- desc/objectives/_geometry.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 440dd292ae..8e3ce75fd1 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -5,8 +5,8 @@ import numpy as np from desc.backend import jnp -from desc.compute import _compute as compute_fun from desc.compute import get_profiles, get_transforms, rpz2xyz, xyz2rpz +from desc.compute.utils import _compute as compute_fun from desc.compute.utils import safenorm from desc.grid import LinearGrid, QuadratureGrid from desc.utils import Timer, errorif From 7b0c89a671f232336306623da6e07844fb2123b1 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Wed, 22 May 2024 11:30:46 -0400 Subject: [PATCH 16/74] put logic inside the function --- desc/objectives/_geometry.py | 65 ++++++++++++++++-------------------- 1 file changed, 29 insertions(+), 36 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 8e3ce75fd1..53264706ef 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -832,26 +832,41 @@ def _find_angle_vec(R, Z, Rtest, Ztest): # R Z and surface points, # Rtest Ztest are the point we wanna check is inside # the surfaceor not - - # R Z can be vectors? Rbool = R > Rtest Zbool = Z > Ztest - return_data = jnp.zeros_like(R) - return_data = jnp.where( - jnp.logical_and(Rbool, Zbool), 0, return_data - ) - return_data = jnp.where( - jnp.logical_and(jnp.logical_not(Rbool), Zbool), 1, return_data + quads = jnp.zeros_like(R) + quads = jnp.where(jnp.logical_and(Rbool, Zbool), 0, quads) + quads = jnp.where( + jnp.logical_and(jnp.logical_not(Rbool), Zbool), 1, quads ) - return_data = jnp.where( + quads = jnp.where( jnp.logical_and(jnp.logical_not(Rbool), jnp.logical_not(Zbool)), 2, - return_data, + quads, + ) + quads = jnp.where( + jnp.logical_and(Rbool, jnp.logical_not(Zbool)), 3, quads ) - return_data = jnp.where( - jnp.logical_and(Rbool, jnp.logical_not(Zbool)), 3, return_data + deltas = quads[1:] - quads[0:-1] + deltas = jnp.where(deltas == 3, -1, deltas) + deltas = jnp.where(deltas == -3, 1, deltas) + # then flip sign if the R intercept is > Rtest and the + # quadrant flipped over a diagonal + b = (Z[1:] / R[1:] - Z[0:-1] / R[0:-1]) / (Z[1:] - Z[0:-1]) + Rint = surf_pt[0, None] - b * (R[1:] - R[0:-1]) / (Z[1:] - Z[0:-1]) + deltas = jnp.where( + jnp.logical_and(jnp.abs(deltas) == 2, Rint > surf_pt[0]), + -deltas, + deltas, ) - return return_data + pt_sign = jnp.sum(deltas) + # here, if pt_sign is +/-4,means that SURFACE is inside PLASMA + # while if 0, means SURFACE is outside PLASMA + + # positive distance if the plasma pt is inside the surface, else + # negative distance is assigned + pt_sign = jnp.where(jnp.isclose(pt_sign, 0), 1, -1) + return pt_sign point_signs = jnp.zeros(surface_coords.shape[0]) for plasma_zeta_idx, surface_zeta_idx in zip( @@ -863,35 +878,13 @@ def _find_angle_vec(R, Z, Rtest, Ztest): (plasma_pts_at_zeta_plane, plasma_pts_at_zeta_plane[0, :]) ) for i, surf_pt in enumerate(surface_pts_at_zeta_plane): - quads = _find_angle_vec( + pt_sign = _find_angle_vec( plasma_pts_at_zeta_plane[:, 0], plasma_pts_at_zeta_plane[:, 2], surf_pt[0], surf_pt[2], ) - deltas = quads[1:] - quads[0:-1] - deltas = jnp.where(deltas == 3, -1, deltas) - deltas = jnp.where(deltas == -3, 1, deltas) - # then flip sign if the R intercept is > Rtest and the - # quadrant flipped over a diagonal - R = plasma_pts_at_zeta_plane[:, 0] - Z = plasma_pts_at_zeta_plane[:, 2] - b = (Z[1:] / R[1:] - Z[0:-1] / R[0:-1]) / (Z[1:] - Z[0:-1]) - Rint = surf_pt[0, None] - b * (R[1:] - R[0:-1]) / ( - Z[1:] - Z[0:-1] - ) - deltas = jnp.where( - jnp.logical_and(jnp.abs(deltas) == 2, Rint > surf_pt[0]), - -deltas, - deltas, - ) - pt_sign = jnp.sum(deltas) - # here, if pt_sign is +/-4,means that SURFACE is inside PLASMA - # while if 0, means SURFACE is outside PLASMA - # positive distance if the plasma pt is inside the surface, else - # negative distance is assigned - pt_sign = jnp.where(jnp.isclose(pt_sign, 0), 1, -1) # need to assign to correct index of the point on the surface point_signs = point_signs.at[surface_zeta_idx[i]].set(pt_sign) # at end here, point_signs is either +/- 1 with From 0cb382218e5ad59c63b6340b079ef6140db098d3 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Wed, 22 May 2024 11:52:32 -0400 Subject: [PATCH 17/74] vectorize signed distance over the surface points --- desc/objectives/_geometry.py | 45 +++++++++++++++++++----------------- 1 file changed, 24 insertions(+), 21 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 53264706ef..d77fe468d6 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -831,10 +831,11 @@ def compute(self, equil_params, surface_params=None, constants=None): def _find_angle_vec(R, Z, Rtest, Ztest): # R Z and surface points, # Rtest Ztest are the point we wanna check is inside - # the surfaceor not - Rbool = R > Rtest - Zbool = Z > Ztest - quads = jnp.zeros_like(R) + # the surface or not + Rbool = R[:, None] > Rtest + Zbool = Z[:, None] > Ztest + # these Rbool are now size (Nsurf, Ntest) + quads = jnp.zeros_like(Rbool) quads = jnp.where(jnp.logical_and(Rbool, Zbool), 0, quads) quads = jnp.where( jnp.logical_and(jnp.logical_not(Rbool), Zbool), 1, quads @@ -847,24 +848,25 @@ def _find_angle_vec(R, Z, Rtest, Ztest): quads = jnp.where( jnp.logical_and(Rbool, jnp.logical_not(Zbool)), 3, quads ) - deltas = quads[1:] - quads[0:-1] + deltas = quads[1:, :] - quads[0:-1, :] deltas = jnp.where(deltas == 3, -1, deltas) deltas = jnp.where(deltas == -3, 1, deltas) # then flip sign if the R intercept is > Rtest and the # quadrant flipped over a diagonal b = (Z[1:] / R[1:] - Z[0:-1] / R[0:-1]) / (Z[1:] - Z[0:-1]) - Rint = surf_pt[0, None] - b * (R[1:] - R[0:-1]) / (Z[1:] - Z[0:-1]) + Rint = Rtest[:, None] - b * (R[1:] - R[0:-1]) / (Z[1:] - Z[0:-1]) deltas = jnp.where( - jnp.logical_and(jnp.abs(deltas) == 2, Rint > surf_pt[0]), + jnp.logical_and(jnp.abs(deltas) == 2, Rint > Rtest), -deltas, deltas, ) - pt_sign = jnp.sum(deltas) - # here, if pt_sign is +/-4,means that SURFACE is inside PLASMA - # while if 0, means SURFACE is outside PLASMA - + pt_sign = jnp.sum(deltas, axis=0) # positive distance if the plasma pt is inside the surface, else # negative distance is assigned + # pt_sign = 0 : Means SURFACE is OUTSIDE of the PLASMA, + # assign positive distance + # pt_sign = +/-4: Means SURFACE is INSIDE PLASMA, so + # assign negative distance pt_sign = jnp.where(jnp.isclose(pt_sign, 0), 1, -1) return pt_sign @@ -877,16 +879,17 @@ def _find_angle_vec(R, Z, Rtest, Ztest): plasma_pts_at_zeta_plane = jnp.vstack( (plasma_pts_at_zeta_plane, plasma_pts_at_zeta_plane[0, :]) ) - for i, surf_pt in enumerate(surface_pts_at_zeta_plane): - pt_sign = _find_angle_vec( - plasma_pts_at_zeta_plane[:, 0], - plasma_pts_at_zeta_plane[:, 2], - surf_pt[0], - surf_pt[2], - ) - - # need to assign to correct index of the point on the surface - point_signs = point_signs.at[surface_zeta_idx[i]].set(pt_sign) + + surface_pts_at_zeta_plane + pt_sign = _find_angle_vec( + plasma_pts_at_zeta_plane[:, 0], + plasma_pts_at_zeta_plane[:, 2], + surface_pts_at_zeta_plane[:, 0], + surface_pts_at_zeta_plane[:, 2], + ) + + # need to assign to correct index of the points on the surface + point_signs = point_signs.at[surface_zeta_idx].set(pt_sign) # at end here, point_signs is either +/- 1 with # positive meaning the surface pt # is outside the plasma and -1 if the surface pt is From 38a6c117702aaf4c34bf92d7c3b9446821f2c553 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Wed, 22 May 2024 12:01:14 -0400 Subject: [PATCH 18/74] add signed distance to softmin --- desc/objectives/_geometry.py | 157 ++++++++++++++++------------------- tests/test_optimizer.py | 20 +++++ 2 files changed, 93 insertions(+), 84 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index d77fe468d6..4266553762 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -625,11 +625,6 @@ def __init__( self._plasma_grid = plasma_grid self._use_softmin = use_softmin self._use_signed_distance = use_signed_distance - if use_softmin and use_signed_distance: - warnings.warn( - "signed distance cannot currently" " be used with use_softmin=True!", - UserWarning, - ) self._surface_fixed = surface_fixed self._alpha = alpha super().__init__( @@ -818,87 +813,81 @@ def compute(self, equil_params, surface_params=None, constants=None): diff_vec = plasma_coords[:, None, :] - surface_coords[None, :, :] d = safenorm(diff_vec, axis=-1) + point_signs = jnp.ones(surface_coords.shape[0]) + if self._use_signed_distance: + surface_coords_rpz = xyz2rpz(surface_coords) + + def _find_angle_vec(R, Z, Rtest, Ztest): + # R Z and surface points, + # Rtest Ztest are the point we wanna check is inside + # the surface or not + Rbool = R[:, None] > Rtest + Zbool = Z[:, None] > Ztest + # these Rbool are now size (Nsurf, Ntest) + quads = jnp.zeros_like(Rbool) + quads = jnp.where(jnp.logical_and(Rbool, Zbool), 0, quads) + quads = jnp.where( + jnp.logical_and(jnp.logical_not(Rbool), Zbool), 1, quads + ) + quads = jnp.where( + jnp.logical_and(jnp.logical_not(Rbool), jnp.logical_not(Zbool)), + 2, + quads, + ) + quads = jnp.where( + jnp.logical_and(Rbool, jnp.logical_not(Zbool)), 3, quads + ) + deltas = quads[1:, :] - quads[0:-1, :] + deltas = jnp.where(deltas == 3, -1, deltas) + deltas = jnp.where(deltas == -3, 1, deltas) + # then flip sign if the R intercept is > Rtest and the + # quadrant flipped over a diagonal + b = (Z[1:] / R[1:] - Z[0:-1] / R[0:-1]) / (Z[1:] - Z[0:-1]) + Rint = Rtest[:, None] - b * (R[1:] - R[0:-1]) / (Z[1:] - Z[0:-1]) + deltas = jnp.where( + jnp.logical_and(jnp.abs(deltas) == 2, Rint > Rtest), + -deltas, + deltas, + ) + pt_sign = jnp.sum(deltas, axis=0) + # positive distance if the plasma pt is inside the surface, else + # negative distance is assigned + # pt_sign = 0 : Means SURFACE is OUTSIDE of the PLASMA, + # assign positive distance + # pt_sign = +/-4: Means SURFACE is INSIDE PLASMA, so + # assign negative distance + pt_sign = jnp.where(jnp.isclose(pt_sign, 0), 1, -1) + return pt_sign + + # loop over zeta planes + for plasma_zeta_idx, surface_zeta_idx in zip( + constants["plasma_zeta_indices"], constants["surface_zeta_indices"] + ): + plasma_pts_at_zeta_plane = plasma_coords_rpz[plasma_zeta_idx, :] + surface_pts_at_zeta_plane = surface_coords_rpz[surface_zeta_idx, :] + plasma_pts_at_zeta_plane = jnp.vstack( + (plasma_pts_at_zeta_plane, plasma_pts_at_zeta_plane[0, :]) + ) + + surface_pts_at_zeta_plane + pt_sign = _find_angle_vec( + plasma_pts_at_zeta_plane[:, 0], + plasma_pts_at_zeta_plane[:, 2], + surface_pts_at_zeta_plane[:, 0], + surface_pts_at_zeta_plane[:, 2], + ) + + # need to assign to correct index of the points on the surface + point_signs = point_signs.at[surface_zeta_idx].set(pt_sign) + # at end here, point_signs is either +/- 1 with + # positive meaning the surface pt + # is outside the plasma and -1 if the surface pt is + # inside the plasma + if self._use_softmin: # do softmin - return jnp.apply_along_axis(softmin, 0, d, self._alpha) + return jnp.apply_along_axis(softmin, 0, d, self._alpha) * point_signs else: # do hardmin - if not self._use_signed_distance: - return d.min(axis=0) - else: - surface_coords_rpz = xyz2rpz(surface_coords) - - # TODO: currently this fxn only works on one pt - # on surface at a time so we need 2 for loops, vectorize it - def _find_angle_vec(R, Z, Rtest, Ztest): - # R Z and surface points, - # Rtest Ztest are the point we wanna check is inside - # the surface or not - Rbool = R[:, None] > Rtest - Zbool = Z[:, None] > Ztest - # these Rbool are now size (Nsurf, Ntest) - quads = jnp.zeros_like(Rbool) - quads = jnp.where(jnp.logical_and(Rbool, Zbool), 0, quads) - quads = jnp.where( - jnp.logical_and(jnp.logical_not(Rbool), Zbool), 1, quads - ) - quads = jnp.where( - jnp.logical_and(jnp.logical_not(Rbool), jnp.logical_not(Zbool)), - 2, - quads, - ) - quads = jnp.where( - jnp.logical_and(Rbool, jnp.logical_not(Zbool)), 3, quads - ) - deltas = quads[1:, :] - quads[0:-1, :] - deltas = jnp.where(deltas == 3, -1, deltas) - deltas = jnp.where(deltas == -3, 1, deltas) - # then flip sign if the R intercept is > Rtest and the - # quadrant flipped over a diagonal - b = (Z[1:] / R[1:] - Z[0:-1] / R[0:-1]) / (Z[1:] - Z[0:-1]) - Rint = Rtest[:, None] - b * (R[1:] - R[0:-1]) / (Z[1:] - Z[0:-1]) - deltas = jnp.where( - jnp.logical_and(jnp.abs(deltas) == 2, Rint > Rtest), - -deltas, - deltas, - ) - pt_sign = jnp.sum(deltas, axis=0) - # positive distance if the plasma pt is inside the surface, else - # negative distance is assigned - # pt_sign = 0 : Means SURFACE is OUTSIDE of the PLASMA, - # assign positive distance - # pt_sign = +/-4: Means SURFACE is INSIDE PLASMA, so - # assign negative distance - pt_sign = jnp.where(jnp.isclose(pt_sign, 0), 1, -1) - return pt_sign - - point_signs = jnp.zeros(surface_coords.shape[0]) - for plasma_zeta_idx, surface_zeta_idx in zip( - constants["plasma_zeta_indices"], constants["surface_zeta_indices"] - ): - plasma_pts_at_zeta_plane = plasma_coords_rpz[plasma_zeta_idx, :] - surface_pts_at_zeta_plane = surface_coords_rpz[surface_zeta_idx, :] - plasma_pts_at_zeta_plane = jnp.vstack( - (plasma_pts_at_zeta_plane, plasma_pts_at_zeta_plane[0, :]) - ) - - surface_pts_at_zeta_plane - pt_sign = _find_angle_vec( - plasma_pts_at_zeta_plane[:, 0], - plasma_pts_at_zeta_plane[:, 2], - surface_pts_at_zeta_plane[:, 0], - surface_pts_at_zeta_plane[:, 2], - ) - - # need to assign to correct index of the points on the surface - point_signs = point_signs.at[surface_zeta_idx].set(pt_sign) - # at end here, point_signs is either +/- 1 with - # positive meaning the surface pt - # is outside the plasma and -1 if the surface pt is - # inside the plasma - - min_inds = d.argmin(axis=0, keepdims=True) - min_ds = jnp.take_along_axis(d, min_inds, axis=0).squeeze() - - return min_ds * point_signs + return d.min(axis=0) * point_signs class PlasmaVesselDistanceCircular(_Objective): diff --git a/tests/test_optimizer.py b/tests/test_optimizer.py index 513dae73c3..a74e90c174 100644 --- a/tests/test_optimizer.py +++ b/tests/test_optimizer.py @@ -1069,6 +1069,26 @@ def test_signed_PlasmaVesselDistance(): np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), -0.25, atol=1e-2) + # with softmin + obj = PlasmaVesselDistance( + surface=surf, + eq=eq, + target=-0.25, + surface_grid=grid, + plasma_grid=grid, + use_signed_distance=True, + use_softmin=True, + alpha=100, + ) + objective = ObjectiveFunction((obj,)) + + optimizer = Optimizer("lsq-exact") + (eq, surf), _ = optimizer.optimize( + (eq, surf), objective, constraints, verbose=3, maxiter=60, ftol=1e-8, xtol=1e-9 + ) + + np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), -0.25, atol=1e-2) + # test with circular surface and changing eq a = 0.75 R0 = 10 From 66f44f77655753fa91d0cd8c681fcc62f32bd605 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Wed, 22 May 2024 12:11:56 -0400 Subject: [PATCH 19/74] correct docstring --- desc/objectives/_geometry.py | 4 ---- 1 file changed, 4 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 4266553762..760326b70f 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -573,10 +573,6 @@ class PlasmaVesselDistance(_Objective): negative if outside of the bounding surface. NOTE: ``plasma_grid`` and ``surface_grid`` must have the same toroidal angle values for signed distance to be used. - NOTE: this convention assumes that both surface and equilibrium have - poloidal angles defined such that they are in a right-handed coordinate - system with the surface normal vector pointing outwards - NOTE: only works with use_softmin=False currently surface_fixed: bool, optional Whether the surface the distance from the plasma is computed to is fixed or not. If True, the surface is fixed and its coordinates are From 9b1ed31d7ec620f0890e0244da19149907076cc2 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Thu, 23 May 2024 15:33:49 -0400 Subject: [PATCH 20/74] remove circular distance --- desc/objectives/__init__.py | 1 - desc/objectives/_geometry.py | 231 ----------------------------------- tests/test_objective_funs.py | 106 ---------------- tests/test_optimizer.py | 58 +++++---- 4 files changed, 33 insertions(+), 363 deletions(-) diff --git a/desc/objectives/__init__.py b/desc/objectives/__init__.py index bf33f4035e..7f3b6c61da 100644 --- a/desc/objectives/__init__.py +++ b/desc/objectives/__init__.py @@ -26,7 +26,6 @@ GoodCoordinates, MeanCurvature, PlasmaVesselDistance, - PlasmaVesselDistanceCircular, PrincipalCurvature, Volume, ) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 760326b70f..ead9a64235 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -634,12 +634,6 @@ def __init__( deriv_mode=deriv_mode, name=name, ) - # possible easy signed distance: - # at each zeta point in plas_grid, take as the "center" of the plane to be - # the eq axis at that zeta - # then compute minor radius to that point, for each zeta - # (so just (R(phi)-R0(phi),Z(phi)-Z0(phi) for both plasma and surface)) - # then take sign(r_surf - r_plasma) and multiply d by that? def build(self, use_jit=True, verbose=1): """Build constant arrays. @@ -886,231 +880,6 @@ def _find_angle_vec(R, Z, Rtest, Ztest): return d.min(axis=0) * point_signs -class PlasmaVesselDistanceCircular(_Objective): - """Target the distance between the plasma and a surrounding circular torus. - - Computes the radius from the axis of the circular toroidal surface for each - point in the plas_grid, and subtracts that from the radius of the circular - bounding surface given to yield the distance from the plasma to the - circular bounding surface. - - NOTE: for best results, use this objective in combination with either MeanCurvature - or PrincipalCurvature, to penalize the tendency for the optimizer to only move the - points on surface corresponding to the grid that the plasma-vessel distance - is evaluated at, which can cause cusps or regions of very large curvature. - - NOTE: When use_softmin=True, ensures that alpha*values passed in is - at least >1, otherwise the softmin will return inaccurate approximations - of the minimum. Will automatically multiply array values by 2 / min_val if the min - of alpha*array is <1. This is to avoid inaccuracies that arise when values <1 - are present in the softmin, which can cause inaccurate mins or even incorrect - signs of the softmin versus the actual min. - - Parameters - ---------- - eq : Equilibrium, optional - Equilibrium that will be optimized to satisfy the Objective. - surface : Surface - Bounding surface to penalize distance to. - target : {float, ndarray}, optional - Target value(s) of the objective. Only used if bounds is None. - Must be broadcastable to Objective.dim_f. - bounds : tuple of {float, ndarray}, optional - Lower and upper bounds on the objective. Overrides target. - Both bounds must be broadcastable to to Objective.dim_f - weight : {float, ndarray}, optional - Weighting to apply to the Objective, relative to other Objectives. - Must be broadcastable to to Objective.dim_f - normalize : bool, optional - Whether to compute the error in physical units or non-dimensionalize. - normalize_target : bool, optional - Whether target and bounds should be normalized before comparing to computed - values. If `normalize` is `True` and the target is in physical units, - this should also be set to True. - plasma_grid : Grid, optional - Collocation grid containing the nodes to evaluate plasma geometry at. - use_signed_distance: bool, optional - Whether to use absolute value of distance or a signed distance, with d - being positive if the plasma is inside of the bounding surface, and - negative if outside of the bounding surface. - surface_fixed: bool, optional - Whether the surface the distance from the plasma is computed to - is fixed or not. If True, the surface is fixed and its radius and axis are - precomputed, which saves on computation time during optimization, and - self.things = [eq] only. - If False, the surface geometry parameters are computed at every iteration. - False by default, so that self.things = [eq, surface] - name : str, optional - Name of the objective function. - """ - - _coordinates = "rtz" - _units = "(m)" - _print_value_fmt = "Plasma-circular-vessel distance: {:10.3e} " - - def __init__( - self, - eq, - surface, - target=None, - bounds=None, - weight=1, - normalize=True, - normalize_target=True, - plasma_grid=None, - use_signed_distance=False, - surface_fixed=False, - name="plasma-circular-vessel distance", - ): - if target is None and bounds is None: - bounds = (1, np.inf) - self._surface = surface - self._plasma_grid = plasma_grid - self._use_signed_distance = use_signed_distance - self._surface_fixed = surface_fixed - super().__init__( - things=[eq, self._surface] if not surface_fixed else [eq], - target=target, - bounds=bounds, - weight=weight, - normalize=normalize, - normalize_target=normalize_target, - name=name, - ) - - def build(self, use_jit=True, verbose=1): - """Build constant arrays. - - Parameters - ---------- - use_jit : bool, optional - Whether to just-in-time compile the objective and derivatives. - verbose : int, optional - Level of output. - - """ - eq = self.things[0] - surface = self._surface if self._surface_fixed else self.things[1] - # if things[1] is different than self._surface, update self._surface - if surface != self._surface: - self._surface = surface - if self._plasma_grid is None: - plasma_grid = LinearGrid(M=eq.M_grid, N=eq.N_grid, NFP=eq.NFP) - else: - plasma_grid = self._plasma_grid - - if not np.allclose(plasma_grid.nodes[:, 0], 1): - warnings.warn("Plasma grid includes interior points, should be rho=1") - minor_radius_coef_index = surface.R_basis.get_idx(L=0, M=1, N=0) - major_radius_coef_index = surface.R_basis.get_idx(L=0, M=0, N=0) - should_be_zero_indices = np.delete( - np.arange(surface.R_basis.num_modes), - [minor_radius_coef_index, major_radius_coef_index], - ) - - if not np.allclose(surface.R_lmn[should_be_zero_indices], 0.0): - warnings.warn( - "PlasmaVesselDistanceCircular only works for axisymmetric" - " circular toroidal bounding surfaces!" - ) - - self._surface_minor_radius_coef_index = minor_radius_coef_index - self._surface_major_radius_coef_index = major_radius_coef_index - - self._surface_minor_radius = np.abs(surface.R_lmn[minor_radius_coef_index]) - self._surface_major_radius = np.abs(surface.R_lmn[major_radius_coef_index]) - - self._dim_f = plasma_grid.num_nodes - self._equil_data_keys = ["R", "Z"] - - timer = Timer() - if verbose > 0: - print("Precomputing transforms") - timer.start("Precomputing transforms") - - equil_profiles = get_profiles( - self._equil_data_keys, - obj=eq, - grid=plasma_grid, - has_axis=plasma_grid.axis.size, - ) - equil_transforms = get_transforms( - self._equil_data_keys, - obj=eq, - grid=plasma_grid, - has_axis=plasma_grid.axis.size, - ) - - self._constants = { - "transforms": equil_transforms, - "equil_profiles": equil_profiles, - } - - timer.stop("Precomputing transforms") - if verbose > 1: - timer.disp("Precomputing transforms") - - if self._normalize: - scales = compute_scaling_factors(eq) - self._normalization = scales["a"] - - super().build(use_jit=use_jit, verbose=verbose) - - def compute(self, equil_params, surface_params=None, constants=None): - """Compute plasma-surface distance. - - Parameters - ---------- - equil_params : dict - Dictionary of equilibrium degrees of freedom, eg Equilibrium.params_dict - surface_params : dict - Dictionary of surface degrees of freedom, eg Surface.params_dict - Only needed if self._surface_fixed = False - constants : dict - Dictionary of constant data, eg transforms, profiles etc. Defaults to - self.constants - - Returns - ------- - d : ndarray, shape(surface_grid.num_nodes,) - For each point in the surface grid, approximate distance to plasma. - - """ - if constants is None: - constants = self.constants - data = compute_fun( - "desc.equilibrium.equilibrium.Equilibrium", - self._equil_data_keys, - params=equil_params, - transforms=constants["transforms"], - profiles=constants["equil_profiles"], - ) - - if self._surface_fixed: - surface_major_radius = self._surface_major_radius - surface_minor_radius = self._surface_minor_radius - else: - surface_minor_radius = jnp.abs( - surface_params["R_lmn"][self._surface_minor_radius_coef_index] - ) - surface_major_radius = jnp.abs( - surface_params["R_lmn"][self._surface_major_radius_coef_index] - ) - - plasma_coords_dist_vectors = jnp.array( - [data["R"] - surface_major_radius, data["Z"]] - ).T - - # compute the minor radius of the surface at each point in the plasma grid, - # signed to be positive if plasma inside vessel, and negative if plasma - # outside vessel - d = surface_minor_radius - jnp.linalg.norm(plasma_coords_dist_vectors, axis=-1) - if self._use_signed_distance: - return d - else: - return jnp.abs(d) - - class MeanCurvature(_Objective): """Target a particular value for the mean curvature. diff --git a/tests/test_objective_funs.py b/tests/test_objective_funs.py index ff7cbe0e23..176dee569e 100644 --- a/tests/test_objective_funs.py +++ b/tests/test_objective_funs.py @@ -51,7 +51,6 @@ ObjectiveFunction, Omnigenity, PlasmaVesselDistance, - PlasmaVesselDistanceCircular, Pressure, PrincipalCurvature, QuadraticFlux, @@ -1208,78 +1207,6 @@ def test_plasma_vessel_distance(): np.testing.assert_allclose(d, a_s - a_p) -@pytest.mark.unit -def test_circular_plasma_vessel_distance(): - """Test calculation of min distance from plasma to circular vessel.""" - R0 = 10.0 - a_p = 1.0 - a_s = 2.0 - # default eq has R0=10, a=1 - eq = Equilibrium(M=3, N=2) - # surface with same R0, a=2, so true d=1 for all pts - surface = FourierRZToroidalSurface( - R_lmn=[R0, a_s], Z_lmn=[-a_s], modes_R=[[0, 0], [1, 0]], modes_Z=[[-1, 0]] - ) - - obj = PlasmaVesselDistanceCircular(eq=eq, surface=surface) - obj.build() - d = obj.compute_unscaled(*obj.xs(eq, surface)) - np.testing.assert_allclose(d, a_s - a_p) - - # ensure that it works (dimension-wise) when compute_scaled is called - _ = obj.compute_scaled(*obj.xs(eq, surface)) - - # check warning for non-circular-axisymmetric vessel - a2 = 0.1 - surf = FourierRZToroidalSurface( - R_lmn=[R0, a_s, a2], - Z_lmn=[-a_s], - modes_R=[[0, 0], [1, 0], [0, 1]], - modes_Z=[[-1, 0]], - ) - plas_grid = LinearGrid(M=5, N=6) - obj = PlasmaVesselDistanceCircular(surface=surf, plasma_grid=plas_grid, eq=eq) - with pytest.warns(UserWarning): - obj.build() - # check warning for grid with non-unity rho - obj = PlasmaVesselDistanceCircular( - surface=surf, plasma_grid=LinearGrid(rho=np.array(0.9)), eq=eq - ) - with pytest.warns(UserWarning): - obj.build() - - # For plasma outside surface, should get signed distance - surface = FourierRZToroidalSurface( - R_lmn=[R0, a_p * 0.5], - Z_lmn=[-a_p * 0.5], - modes_R=[[0, 0], [1, 0]], - modes_Z=[[-1, 0]], - ) - plas_grid = LinearGrid(M=5, N=6) - obj = PlasmaVesselDistanceCircular( - eq=eq, - plasma_grid=plas_grid, - surface=surface, - surface_fixed=False, - use_signed_distance=True, - ) - obj.build() - d = obj.compute_unscaled(*obj.xs(eq, surface)) - np.testing.assert_allclose(d, -0.5 * a_p) - - # with surface_fixed=True - obj = PlasmaVesselDistanceCircular( - eq=eq, - plasma_grid=plas_grid, - surface=surface, - surface_fixed=True, - use_signed_distance=True, - ) - obj.build() - d = obj.compute_unscaled(*obj.xs(eq)) - np.testing.assert_allclose(d, -0.5 * a_p) - - @pytest.mark.unit def test_signed_plasma_vessel_distance(): """Test calculation of signed distance from plasma to vessel.""" @@ -2022,7 +1949,6 @@ class TestComputeScalarResolution: specials = [ # these require special logic PlasmaVesselDistance, - PlasmaVesselDistanceCircular, BootstrapRedlConsistency, BoundaryError, VacuumBoundaryError, @@ -2066,27 +1992,6 @@ def test_compute_scalar_resolution_plasma_vessel(self): f[i] = obj.compute_scalar(obj.x()) np.testing.assert_allclose(f, f[-1], rtol=5e-2) - @pytest.mark.regression - def test_compute_scalar_resolution_plasma_vessel_circular(self): - """PlasmaVesselDistanceCircular.""" - f = np.zeros_like(self.res_array, dtype=float) - surface = FourierRZToroidalSurface( - R_lmn=[10, 1.5], Z_lmn=[-1.5], modes_R=[[0, 0], [1, 0]], modes_Z=[[-1, 0]] - ) - for i, res in enumerate(self.res_array): - grid = LinearGrid( - M=int(self.eq.M * res), N=int(self.eq.N * res), NFP=self.eq.NFP - ) - obj = ObjectiveFunction( - PlasmaVesselDistanceCircular( - surface=surface, eq=self.eq, plasma_grid=grid - ), - use_jit=False, - ) - obj.build(verbose=0) - f[i] = obj.compute_scalar(obj.x()) - np.testing.assert_allclose(f, f[-1], rtol=5e-2) - @pytest.mark.regression def test_compute_scalar_resolution_bootstrap(self): """BootstrapRedlConsistency.""" @@ -2368,7 +2273,6 @@ class TestObjectiveNaNGrad: specials = [ # these require special logic PlasmaVesselDistance, - PlasmaVesselDistanceCircular, ForceBalanceAnisotropic, BootstrapRedlConsistency, BoundaryError, @@ -2398,16 +2302,6 @@ def test_objective_no_nangrad_plasma_vessel(self): g = obj.grad(obj.x(eq, surf)) assert not np.any(np.isnan(g)), "plasma vessel distance" - @pytest.mark.unit - def test_objective_no_nangrad_plasma_vessel_circular(self): - """PlasmaVesselDistanceCircular.""" - eq = Equilibrium(L=2, M=2, N=2) - surf = FourierRZToroidalSurface() - obj = ObjectiveFunction(PlasmaVesselDistanceCircular(eq, surf), use_jit=False) - obj.build() - g = obj.grad(obj.x(eq, surf)) - assert not np.any(np.isnan(g)), "plasma vessel distance circular" - @pytest.mark.unit def test_objective_no_nangrad_anisotropy(self): """ForceBalanceAnisotropic.""" diff --git a/tests/test_optimizer.py b/tests/test_optimizer.py index a74e90c174..8009473db2 100644 --- a/tests/test_optimizer.py +++ b/tests/test_optimizer.py @@ -36,7 +36,6 @@ MeanCurvature, ObjectiveFunction, PlasmaVesselDistance, - PlasmaVesselDistanceCircular, QuasisymmetryTripleProduct, Volume, get_fixed_boundary_constraints, @@ -1045,9 +1044,6 @@ def test_signed_PlasmaVesselDistance(): eq = desc.examples.get("HELIOTRON") constraints = (FixParameters(eq),) # don't want eq to change - # circular surface - a = 0.5 - R0 = 10 surf = eq.surface.copy() surf.change_resolution(M=1, N=1) @@ -1067,9 +1063,13 @@ def test_signed_PlasmaVesselDistance(): (eq, surf), objective, constraints, verbose=3, maxiter=60, ftol=1e-8, xtol=1e-9 ) - np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), -0.25, atol=1e-2) + np.testing.assert_allclose( + obj.compute(*obj.xs(eq, surf)), -0.25, atol=1e-2, err_msg="Using hardmin" + ) # with softmin + surf = eq.surface.copy() + surf.change_resolution(M=1, N=1) obj = PlasmaVesselDistance( surface=surf, eq=eq, @@ -1084,39 +1084,47 @@ def test_signed_PlasmaVesselDistance(): optimizer = Optimizer("lsq-exact") (eq, surf), _ = optimizer.optimize( - (eq, surf), objective, constraints, verbose=3, maxiter=60, ftol=1e-8, xtol=1e-9 + (eq, surf), + objective, + constraints, + verbose=3, + maxiter=60, + ftol=1e-8, + xtol=1e-9, ) - np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), -0.25, atol=1e-2) - - # test with circular surface and changing eq - a = 0.75 - R0 = 10 - surf = FourierRZToroidalSurface( - R_lmn=[R0, a], - Z_lmn=[0.0, -a], - modes_R=np.array([[0, 0], [1, 0]]), - modes_Z=np.array([[0, 0], [-1, 0]]), - sym=True, - NFP=eq.NFP, + np.testing.assert_allclose( + obj.compute(*obj.xs(eq, surf)), -0.25, atol=1e-2, err_msg="Using softmin" ) - # not caring about force balance, just want the eq surface to become circular - constraints = (FixParameters(surf), FixPressure(eq), FixIota(eq), FixPsi(eq)) - obj = PlasmaVesselDistanceCircular( + + # with changing eq + eq = Equilibrium(M=1, N=1) + surf = eq.surface.copy() + surf.change_resolution(M=1, N=1) + grid = LinearGrid(M=eq.M * 3, N=eq.N, NFP=eq.NFP) + + obj = PlasmaVesselDistance( surface=surf, eq=eq, - target=0.5, + target=-0.25, + surface_grid=grid, plasma_grid=grid, use_signed_distance=True, ) objective = ObjectiveFunction((obj,)) optimizer = Optimizer("lsq-exact") - (eq, surf), result = optimizer.optimize( - (eq, surf), objective, constraints, verbose=3, maxiter=30, ftol=1e-4 + (eq, surf), _ = optimizer.optimize( + (eq, surf), + objective, + constraints=(FixParameters(surf),), + verbose=3, + maxiter=60, + ftol=1e-8, + xtol=1e-9, ) - np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), 0.5, atol=1e-2) + np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), -0.25, atol=1e-2) @pytest.mark.unit From 2d3779f0e835608e017d67d9f85d969107ac37b5 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Thu, 23 May 2024 15:39:47 -0400 Subject: [PATCH 21/74] fix test with eq changing --- tests/test_optimizer.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/tests/test_optimizer.py b/tests/test_optimizer.py index 8009473db2..da9bc0ad5d 100644 --- a/tests/test_optimizer.py +++ b/tests/test_optimizer.py @@ -1101,7 +1101,7 @@ def test_signed_PlasmaVesselDistance(): eq = Equilibrium(M=1, N=1) surf = eq.surface.copy() surf.change_resolution(M=1, N=1) - grid = LinearGrid(M=eq.M * 3, N=eq.N, NFP=eq.NFP) + grid = LinearGrid(M=12, N=2, NFP=eq.NFP) obj = PlasmaVesselDistance( surface=surf, From 9bf94b75e9d0dc9db42be3fc051fc0787113f9c0 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Thu, 23 May 2024 15:42:06 -0400 Subject: [PATCH 22/74] update changelog --- CHANGELOG.md | 5 +---- 1 file changed, 1 insertion(+), 4 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index 07bb4e0b0e..f7de2ccad6 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -5,10 +5,7 @@ New Features - Add method ``from_values`` to ``FourierRZCurve`` to allow fitting of data points to a ``FourierRZCurve`` object, and ``to_FourierRZCurve`` methods to ``Curve`` class. -- Adds ``PlasmaVesselDistanceCircular`` as an objective, which is a simpler -way to calculate the plasma-vessel separation when the vessel is a circular -axisymmetric torus -- Add ``use_signed_distance`` flag to ``PlasmaVesselDistance`` and ``PlasmaVesselDistanceCircular`` which will use a signed distance as the target, which is positive when the plasma is inside of the vessel surface and negative if the plasma is outside of the vessel surface, to allow optimizer to distinguish if the equilbrium surface exits the vessel surface and guard against it by targeting a positive signed distance. +- Add ``use_signed_distance`` flag to ``PlasmaVesselDistance`` which will use a signed distance as the target, which is positive when the plasma is inside of the vessel surface and negative if the plasma is outside of the vessel surface, to allow optimizer to distinguish if the equilbrium surface exits the vessel surface and guard against it by targeting a positive signed distance. v0.11.1 ------- From 6d110e8a1507d36390aa5cd404db4d3c536fe909 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Thu, 23 May 2024 15:50:26 -0400 Subject: [PATCH 23/74] remove unneeded/mistakenly added tests. Add dim_f check to distance test --- tests/test_objective_funs.py | 163 +---------------------------------- tests/test_optimizer.py | 53 ------------ 2 files changed, 2 insertions(+), 214 deletions(-) diff --git a/tests/test_objective_funs.py b/tests/test_objective_funs.py index 176dee569e..db181a5729 100644 --- a/tests/test_objective_funs.py +++ b/tests/test_objective_funs.py @@ -614,6 +614,7 @@ def test_plasma_vessel_distance(self): ) obj.build() d = obj.compute_unscaled(*obj.xs(eq, surface)) + assert d.size == obj.dim_f assert abs(d.min() - (a_s - a_p)) < 1e-14 assert abs(d.max() - (a_s - a_p)) < surf_grid.spacing[0, 1] * a_p @@ -653,6 +654,7 @@ def test_plasma_vessel_distance(self): ) obj.build() d = obj.compute_unscaled(*obj.xs(eq, surface)) + assert d.size == obj.dim_f assert np.all(np.abs(d) < a_s - a_p) # for large enough alpha, should be same as actual min @@ -1122,91 +1124,6 @@ def test_target_profiles(): ) -@pytest.mark.unit -def test_plasma_vessel_distance(): - """Test calculation of min distance from plasma to vessel.""" - R0 = 10.0 - a_p = 1.0 - a_s = 2.0 - # default eq has R0=10, a=1 - eq = Equilibrium(M=3, N=2) - # surface with same R0, a=2, so true d=1 for all pts - surface = FourierRZToroidalSurface( - R_lmn=[R0, a_s], Z_lmn=[-a_s], modes_R=[[0, 0], [1, 0]], modes_Z=[[-1, 0]] - ) - # For equally spaced grids, should get true d=1 - surf_grid = LinearGrid(M=5, N=6) - plas_grid = LinearGrid(M=5, N=6) - obj = PlasmaVesselDistance( - eq=eq, plasma_grid=plas_grid, surface_grid=surf_grid, surface=surface - ) - obj.build() - d = obj.compute_unscaled(*obj.xs(eq, surface)) - np.testing.assert_allclose(d, a_s - a_p) - - # for unequal M, should have error of order M_spacing*a_p - surf_grid = LinearGrid(M=5, N=6) - plas_grid = LinearGrid(M=10, N=6) - obj = PlasmaVesselDistance( - eq=eq, - plasma_grid=plas_grid, - surface_grid=surf_grid, - surface=surface, - surface_fixed=True, - ) - obj.build() - d = obj.compute_unscaled(*obj.xs(eq, surface)) - assert abs(d.min() - (a_s - a_p)) < 1e-14 - assert abs(d.max() - (a_s - a_p)) < surf_grid.spacing[0, 1] * a_p - - # for unequal N, should have error of order N_spacing*R0 - surf_grid = LinearGrid(M=5, N=6) - plas_grid = LinearGrid(M=5, N=12) - obj = PlasmaVesselDistance( - eq=eq, plasma_grid=plas_grid, surface_grid=surf_grid, surface=surface - ) - obj.build() - d = obj.compute_unscaled(*obj.xs(eq, surface)) - assert abs(d.min() - (a_s - a_p)) < 1e-14 - assert abs(d.max() - (a_s - a_p)) < surf_grid.spacing[0, 2] * R0 - # ensure that it works (dimension-wise) when compute_scaled is called - _ = obj.compute_scaled(*obj.xs(eq, surface)) - - grid = LinearGrid(L=3, M=3, N=3) - eq = Equilibrium() - surf = FourierRZToroidalSurface() - obj = PlasmaVesselDistance(surface=surf, surface_grid=grid, plasma_grid=grid, eq=eq) - with pytest.warns(UserWarning): - obj.build() - - # test softmin, should give value less than true minimum - surf_grid = LinearGrid(M=5, N=6) - plas_grid = LinearGrid(M=5, N=6) - obj = PlasmaVesselDistance( - eq=eq, - plasma_grid=plas_grid, - surface_grid=surf_grid, - surface=surface, - use_softmin=True, - ) - obj.build() - d = obj.compute_unscaled(*obj.xs(eq, surface)) - assert np.all(np.abs(d) < a_s - a_p) - - # for large enough alpha, should be same as actual min - obj = PlasmaVesselDistance( - eq=eq, - plasma_grid=plas_grid, - surface_grid=surf_grid, - surface=surface, - use_softmin=True, - alpha=100, - ) - obj.build() - d = obj.compute_unscaled(*obj.xs(eq, surface)) - np.testing.assert_allclose(d, a_s - a_p) - - @pytest.mark.unit def test_signed_plasma_vessel_distance(): """Test calculation of signed distance from plasma to vessel.""" @@ -1255,82 +1172,6 @@ def test_signed_plasma_vessel_distance(): np.testing.assert_allclose(d, -0.5 * a_p) -@pytest.mark.unit -def test_mean_curvature(): - """Test for mean curvature objective function.""" - # torus should have mean curvature negative everywhere - eq = Equilibrium() - obj = MeanCurvature(eq=eq) - obj.build() - H = obj.compute_unscaled(*obj.xs(eq)) - assert np.all(H <= 0) - - # more shaped case like NCSX should have some positive curvature - eq = get("NCSX") - obj = MeanCurvature(eq=eq) - obj.build() - H = obj.compute_unscaled(*obj.xs(eq)) - assert np.any(H > 0) - - # check using the surface - obj = MeanCurvature(eq=eq.surface) - obj.build() - H = obj.compute_unscaled(*obj.xs(eq.surface)) - assert np.any(H > 0) - - -@pytest.mark.unit -def test_principal_curvature(): - """Test for principal curvature objective function.""" - eq1 = get("DSHAPE") - eq2 = get("NCSX") - obj1 = PrincipalCurvature(eq=eq1, normalize=False) - obj1.build() - K1 = obj1.compute_unscaled(*obj1.xs(eq1)) - obj2 = PrincipalCurvature(eq=eq2, normalize=False) - obj2.build() - K2 = obj2.compute_unscaled(*obj2.xs(eq2)) - - # simple test: NCSX should have higher mean absolute curvature than DSHAPE - assert K1.mean() < K2.mean() - - # same test but using the surface directly - obj1 = PrincipalCurvature(eq=eq1.surface, normalize=False) - obj1.build() - K1 = obj1.compute_unscaled(*obj1.xs(eq1.surface)) - obj2 = PrincipalCurvature(eq=eq2.surface, normalize=False) - obj2.build() - K2 = obj2.compute_unscaled(*obj2.xs(eq2.surface)) - - # simple test: NCSX should have higher mean absolute curvature than DSHAPE - assert K1.mean() < K2.mean() - - -@pytest.mark.unit -def test_field_scale_length(): - """Test for B field scale length objective function.""" - surf1 = FourierRZToroidalSurface( - R_lmn=[5, 1], Z_lmn=[-1], modes_R=[[0, 0], [1, 0]], modes_Z=[[-1, 0]], NFP=1 - ) - surf2 = FourierRZToroidalSurface( - R_lmn=[10, 2], Z_lmn=[-2], modes_R=[[0, 0], [1, 0]], modes_Z=[[-1, 0]], NFP=1 - ) - eq1 = Equilibrium(L=2, M=2, N=0, surface=surf1) - eq2 = Equilibrium(L=2, M=2, N=0, surface=surf2) - eq1.solve() - eq2.solve() - - obj1 = BScaleLength(eq=eq1, normalize=False) - obj2 = BScaleLength(eq=eq2, normalize=False) - obj1.build() - obj2.build() - - L1 = obj1.compute_unscaled(*obj1.xs(eq1)) - L2 = obj2.compute_unscaled(*obj2.xs(eq2)) - - np.testing.assert_array_less(L1, L2) - - @pytest.mark.unit def test_profile_objective_print(capsys): """Test that the profile objectives print correctly.""" diff --git a/tests/test_optimizer.py b/tests/test_optimizer.py index da9bc0ad5d..5596dd64dc 100644 --- a/tests/test_optimizer.py +++ b/tests/test_optimizer.py @@ -983,59 +983,6 @@ def test_constrained_AL_scalar(): np.testing.assert_array_less(-Dwell, ctol) -@pytest.mark.slow -@pytest.mark.unit -@pytest.mark.optimize -def test_proximal_with_PlasmaVesselDistance(): - """Tests that the proximal projection works with fixed surface distance obj.""" - eq = desc.examples.get("SOLOVEV") - - constraints = ( - ForceBalance(eq=eq), - FixPressure(eq=eq), # fix pressure profile - FixIota(eq=eq), # fix rotational transform profile - FixPsi(eq=eq), # fix total toroidal magnetic flux - ) - # circular surface - a = 2 - R0 = 4 - surf = FourierRZToroidalSurface( - R_lmn=[R0, a], - Z_lmn=[0.0, -a], - modes_R=np.array([[0, 0], [1, 0]]), - modes_Z=np.array([[0, 0], [-1, 0]]), - sym=True, - NFP=eq.NFP, - ) - - grid = LinearGrid(M=eq.M, N=0, NFP=eq.NFP) - obj = PlasmaVesselDistance( - surface=surf, eq=eq, target=0.5, plasma_grid=grid, surface_fixed=True - ) - objective = ObjectiveFunction((obj,)) - - optimizer = Optimizer("proximal-lsq-exact") - eq.optimize( - objective, - constraints, - verbose=3, - maxiter=3, - ) - - # make sure it also works if proximal is given multiple objects in things - obj = PlasmaVesselDistance( - surface=surf, eq=eq, target=0.5, plasma_grid=grid, surface_fixed=False - ) - objective = ObjectiveFunction((obj,)) - (eq, surf), result = optimizer.optimize( - (eq, surf), - objective, - constraints, - verbose=3, - maxiter=3, - ) - - @pytest.mark.slow @pytest.mark.unit @pytest.mark.optimize From b5a8a83c0e2a4cf9b451eeaf1de45b1192769b03 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Thu, 23 May 2024 16:16:33 -0400 Subject: [PATCH 24/74] fix dimension error when grids have different poloidal resolution, add test --- desc/objectives/_geometry.py | 24 ++++++++++++++---------- tests/test_objective_funs.py | 22 +++++++++++++++++++--- 2 files changed, 33 insertions(+), 13 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index ead9a64235..43279634af 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -807,13 +807,17 @@ def compute(self, equil_params, surface_params=None, constants=None): if self._use_signed_distance: surface_coords_rpz = xyz2rpz(surface_coords) - def _find_angle_vec(R, Z, Rtest, Ztest): - # R Z and surface points, - # Rtest Ztest are the point we wanna check is inside - # the surface or not - Rbool = R[:, None] > Rtest - Zbool = Z[:, None] > Ztest - # these Rbool are now size (Nsurf, Ntest) + def _find_angle_vec(R, Z, Rsurf, Zsurf): + # R Z are plasma points, + # Rsurf Zsurf are the surface points being checked for whether + # or not they are inside the plasma + + # algorithm based off of "An Incremental Angle Point in Polygon Test", + # K. Weiler, https://doi.org/10.1016/B978-0-12-336156-1.50012-4 + + Rbool = R[:, None] > Rsurf + Zbool = Z[:, None] > Zsurf + # these are now size (Nplasma, Nsurf) quads = jnp.zeros_like(Rbool) quads = jnp.where(jnp.logical_and(Rbool, Zbool), 0, quads) quads = jnp.where( @@ -830,12 +834,12 @@ def _find_angle_vec(R, Z, Rtest, Ztest): deltas = quads[1:, :] - quads[0:-1, :] deltas = jnp.where(deltas == 3, -1, deltas) deltas = jnp.where(deltas == -3, 1, deltas) - # then flip sign if the R intercept is > Rtest and the + # then flip sign if the R intercept is > Rsurf and the # quadrant flipped over a diagonal b = (Z[1:] / R[1:] - Z[0:-1] / R[0:-1]) / (Z[1:] - Z[0:-1]) - Rint = Rtest[:, None] - b * (R[1:] - R[0:-1]) / (Z[1:] - Z[0:-1]) + Rint = Rsurf[:, None] - b * (R[1:] - R[0:-1]) / (Z[1:] - Z[0:-1]) deltas = jnp.where( - jnp.logical_and(jnp.abs(deltas) == 2, Rint > Rtest), + jnp.logical_and(jnp.abs(deltas) == 2, Rint.T > Rsurf), -deltas, deltas, ) diff --git a/tests/test_objective_funs.py b/tests/test_objective_funs.py index db181a5729..c5b9f5e450 100644 --- a/tests/test_objective_funs.py +++ b/tests/test_objective_funs.py @@ -1136,17 +1136,17 @@ def test_signed_plasma_vessel_distance(): surface = FourierRZToroidalSurface( R_lmn=[R0, a_s], Z_lmn=[-a_s], modes_R=[[0, 0], [1, 0]], modes_Z=[[-1, 0]] ) - # For equally spaced grids, should get true d=1 grid = LinearGrid(M=5, N=6) obj = PlasmaVesselDistance( eq=eq, surface_grid=grid, - plasma_grid=grid, + plasma_grid=LinearGrid(M=10, N=6), surface=surface, use_signed_distance=True, ) obj.build() d = obj.compute_unscaled(*obj.xs(eq, surface)) + assert obj.dim_f == d.size np.testing.assert_allclose(d, a_s - a_p) # ensure that it works (dimension-wise) when compute_scaled is called @@ -1163,14 +1163,30 @@ def test_signed_plasma_vessel_distance(): obj = PlasmaVesselDistance( eq=eq, surface_grid=grid, - plasma_grid=grid, + plasma_grid=LinearGrid(M=10, N=6), surface=surface, use_signed_distance=True, ) obj.build() d = obj.compute_unscaled(*obj.xs(eq, surface)) + assert obj.dim_f == d.size np.testing.assert_allclose(d, -0.5 * a_p) + # ensure it works with different sized grids (poloidal resolution different) + grid = LinearGrid(M=5, N=6) + obj = PlasmaVesselDistance( + eq=eq, + surface_grid=grid, + plasma_grid=LinearGrid(M=10, N=6), + surface=surface, + use_signed_distance=True, + ) + obj.build() + d = obj.compute_unscaled(*obj.xs(eq, surface)) + assert obj.dim_f == d.size + assert abs(d.max() - (-0.5 * a_p)) < 1e-14 + assert abs(d.min() - (-0.5 * a_p)) < grid.spacing[0, 1] * a_p * 0.5 + @pytest.mark.unit def test_profile_objective_print(capsys): From 01699648c2b2844253341171725137a2d146153b Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Fri, 24 May 2024 11:32:29 -0400 Subject: [PATCH 25/74] fix test --- tests/test_objective_funs.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/tests/test_objective_funs.py b/tests/test_objective_funs.py index c5b9f5e450..a1fdd9f967 100644 --- a/tests/test_objective_funs.py +++ b/tests/test_objective_funs.py @@ -1140,7 +1140,7 @@ def test_signed_plasma_vessel_distance(): obj = PlasmaVesselDistance( eq=eq, surface_grid=grid, - plasma_grid=LinearGrid(M=10, N=6), + plasma_grid=grid, surface=surface, use_signed_distance=True, ) @@ -1163,7 +1163,7 @@ def test_signed_plasma_vessel_distance(): obj = PlasmaVesselDistance( eq=eq, surface_grid=grid, - plasma_grid=LinearGrid(M=10, N=6), + plasma_grid=grid, surface=surface, use_signed_distance=True, ) From b0ada02034e7382d874bfa1980db198f3da88baf Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Fri, 24 May 2024 14:22:43 -0400 Subject: [PATCH 26/74] use vmap instead of for loop --- desc/objectives/_geometry.py | 24 ++++++++++++++++++------ 1 file changed, 18 insertions(+), 6 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 43279634af..ae195d3ffc 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -3,6 +3,7 @@ import warnings import numpy as np +from jax import vmap from desc.backend import jnp from desc.compute import get_profiles, get_transforms, rpz2xyz, xyz2rpz @@ -853,12 +854,19 @@ def _find_angle_vec(R, Z, Rsurf, Zsurf): pt_sign = jnp.where(jnp.isclose(pt_sign, 0), 1, -1) return pt_sign + plasma_coords_rpz = plasma_coords_rpz.reshape( + constants["equil_transforms"]["grid"].num_zeta, + constants["equil_transforms"]["grid"].num_theta, + 3, + ) + surface_coords_rpz = surface_coords_rpz.reshape( + constants["surface_transforms"]["grid"].num_zeta, + constants["surface_transforms"]["grid"].num_theta, + 3, + ) + # loop over zeta planes - for plasma_zeta_idx, surface_zeta_idx in zip( - constants["plasma_zeta_indices"], constants["surface_zeta_indices"] - ): - plasma_pts_at_zeta_plane = plasma_coords_rpz[plasma_zeta_idx, :] - surface_pts_at_zeta_plane = surface_coords_rpz[surface_zeta_idx, :] + def fun(plasma_pts_at_zeta_plane, surface_pts_at_zeta_plane): plasma_pts_at_zeta_plane = jnp.vstack( (plasma_pts_at_zeta_plane, plasma_pts_at_zeta_plane[0, :]) ) @@ -872,7 +880,11 @@ def _find_angle_vec(R, Z, Rsurf, Zsurf): ) # need to assign to correct index of the points on the surface - point_signs = point_signs.at[surface_zeta_idx].set(pt_sign) + return pt_sign + + point_signs = vmap(fun, in_axes=0)( + plasma_coords_rpz, surface_coords_rpz + ).flatten() # at end here, point_signs is either +/- 1 with # positive meaning the surface pt # is outside the plasma and -1 if the surface pt is From 55b7056ae57681fb5745f4d67ce1304b5bfbe53d Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Fri, 24 May 2024 14:23:42 -0400 Subject: [PATCH 27/74] remove comment --- desc/objectives/_geometry.py | 1 - 1 file changed, 1 deletion(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index ae195d3ffc..43cd738ce0 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -879,7 +879,6 @@ def fun(plasma_pts_at_zeta_plane, surface_pts_at_zeta_plane): surface_pts_at_zeta_plane[:, 2], ) - # need to assign to correct index of the points on the surface return pt_sign point_signs = vmap(fun, in_axes=0)( From 868ce08f266faae843d52748b971f3e27c00d7df Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Fri, 24 May 2024 14:25:29 -0400 Subject: [PATCH 28/74] remove unneeded indexing --- desc/objectives/_geometry.py | 15 --------------- 1 file changed, 15 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 43cd738ce0..d3a8e6eb09 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -719,21 +719,6 @@ def build(self, use_jit=True, verbose=1): "quad_weights": w, } - if self._use_signed_distance: - # get the indices corresponding to the grid points - # at each distinct zeta plane, so that can be used - # in compute to separate the computed pts by zeta plane - zetas = plasma_grid.nodes[plasma_grid.unique_zeta_idx, 2] - plasma_zeta_indices = [ - np.where(np.isclose(plasma_grid.nodes[:, 2], zeta))[0] for zeta in zetas - ] - surface_zeta_indices = [ - np.where(np.isclose(surface_grid.nodes[:, 2], zeta))[0] - for zeta in zetas - ] - self._constants["plasma_zeta_indices"] = plasma_zeta_indices - self._constants["surface_zeta_indices"] = surface_zeta_indices - if self._surface_fixed: # precompute the surface coordinates # as the surface is fixed during the optimization From 31f01845ab8e7b1def144342b182832385a60dc9 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Mon, 10 Jun 2024 12:19:49 -0400 Subject: [PATCH 29/74] address comments --- desc/objectives/_geometry.py | 29 +++++++++++++++-------------- tests/test_examples.py | 2 +- tests/test_objective_funs.py | 2 +- tests/test_optimizer.py | 2 +- 4 files changed, 18 insertions(+), 17 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index d3a8e6eb09..3a7a17c27f 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -3,9 +3,8 @@ import warnings import numpy as np -from jax import vmap -from desc.backend import jnp +from desc.backend import jnp, vmap from desc.compute import get_profiles, get_transforms, rpz2xyz, xyz2rpz from desc.compute.utils import _compute as compute_fun from desc.compute.utils import safenorm @@ -522,10 +521,10 @@ class PlasmaVesselDistance(_Objective): points on surface corresponding to the grid that the plasma-vessel distance is evaluated at, which can cause cusps or regions of very large curvature. - NOTE: When use_softmin=True, ensures that alpha*values passed in is + NOTE: When use_softmin=True, ensures that softmin_alpha*values passed in is at least >1, otherwise the softmin will return inaccurate approximations of the minimum. Will automatically multiply array values by 2 / min_val if the min - of alpha*array is <1. This is to avoid inaccuracies that arise when values <1 + of softmin_alpha*array is <1. This is to avoid inaccuracies when values <1 are present in the softmin, which can cause inaccurate mins or even incorrect signs of the softmin versus the actual min. @@ -581,13 +580,13 @@ class PlasmaVesselDistance(_Objective): self.things = [eq] only. If False, the surface coordinates are computed at every iteration. False by default, so that self.things = [eq, surface] - alpha: float, optional - Parameter used for softmin. The larger alpha, the closer the softmin - approximates the hardmin. softmin -> hardmin as alpha -> infinity. - if alpha*array < 1, the underlying softmin will automatically multiply - the array by 2/min_val to ensure that alpha*array>1. Making alpha larger - than this minimum value will make the softmin a more accurate approximation - of the true min. + softmin_alpha: float, optional + Parameter used for softmin. The larger softmin_alpha, the closer the softmin + approximates the hardmin. softmin -> hardmin as softmin_alpha -> infinity. + if softmin_alpha*array < 1, the underlying softmin will automatically multiply + the array by 2/min_val to ensure that softmin_alpha*array>1. Making + softmin_alpha larger than this minimum value will make the softmin a + more accurate approximation of the true min. name : str, optional Name of the objective function. """ @@ -612,7 +611,7 @@ def __init__( use_softmin=False, use_signed_distance=False, surface_fixed=False, - alpha=1.0, + softmin_alpha=1.0, name="plasma-vessel distance", ): if target is None and bounds is None: @@ -623,7 +622,7 @@ def __init__( self._use_softmin = use_softmin self._use_signed_distance = use_signed_distance self._surface_fixed = surface_fixed - self._alpha = alpha + self._softmin_alpha = softmin_alpha super().__init__( things=[eq, self._surface] if not surface_fixed else [eq], target=target, @@ -875,7 +874,9 @@ def fun(plasma_pts_at_zeta_plane, surface_pts_at_zeta_plane): # inside the plasma if self._use_softmin: # do softmin - return jnp.apply_along_axis(softmin, 0, d, self._alpha) * point_signs + return ( + jnp.apply_along_axis(softmin, 0, d, self._softmin_alpha) * point_signs + ) else: # do hardmin return d.min(axis=0) * point_signs diff --git a/tests/test_examples.py b/tests/test_examples.py index b84cd967b1..333b0d6950 100644 --- a/tests/test_examples.py +++ b/tests/test_examples.py @@ -983,7 +983,7 @@ def test_non_eq_optimization(): use_softmin=True, surface_grid=grid, plasma_grid=grid, - alpha=5000, + softmin_alpha=5000, ) objective = ObjectiveFunction((obj,)) optimizer = Optimizer("lsq-auglag") diff --git a/tests/test_objective_funs.py b/tests/test_objective_funs.py index a1fdd9f967..b6ce46724a 100644 --- a/tests/test_objective_funs.py +++ b/tests/test_objective_funs.py @@ -664,7 +664,7 @@ def test_plasma_vessel_distance(self): surface_grid=surf_grid, surface=surface, use_softmin=True, - alpha=100, + sofmtin_alpha=100, ) obj.build() d = obj.compute_unscaled(*obj.xs(eq, surface)) diff --git a/tests/test_optimizer.py b/tests/test_optimizer.py index 5596dd64dc..681553df5e 100644 --- a/tests/test_optimizer.py +++ b/tests/test_optimizer.py @@ -1025,7 +1025,7 @@ def test_signed_PlasmaVesselDistance(): plasma_grid=grid, use_signed_distance=True, use_softmin=True, - alpha=100, + softmin_alpha=100, ) objective = ObjectiveFunction((obj,)) From 8e590b64d4bac25f43490cbd442cee72a7230dbe Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Tue, 18 Jun 2024 10:21:42 -0400 Subject: [PATCH 30/74] remove unneeded where, change quads to quadrants --- desc/objectives/_geometry.py | 17 ++++++++--------- 1 file changed, 8 insertions(+), 9 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 3a7a17c27f..252cadbb15 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -803,20 +803,19 @@ def _find_angle_vec(R, Z, Rsurf, Zsurf): Rbool = R[:, None] > Rsurf Zbool = Z[:, None] > Zsurf # these are now size (Nplasma, Nsurf) - quads = jnp.zeros_like(Rbool) - quads = jnp.where(jnp.logical_and(Rbool, Zbool), 0, quads) - quads = jnp.where( - jnp.logical_and(jnp.logical_not(Rbool), Zbool), 1, quads + quadrants = jnp.zeros_like(Rbool) + quadrants = jnp.where( + jnp.logical_and(jnp.logical_not(Rbool), Zbool), 1, quadrants ) - quads = jnp.where( + quadrants = jnp.where( jnp.logical_and(jnp.logical_not(Rbool), jnp.logical_not(Zbool)), 2, - quads, + quadrants, ) - quads = jnp.where( - jnp.logical_and(Rbool, jnp.logical_not(Zbool)), 3, quads + quadrants = jnp.where( + jnp.logical_and(Rbool, jnp.logical_not(Zbool)), 3, quadrants ) - deltas = quads[1:, :] - quads[0:-1, :] + deltas = quadrants[1:, :] - quadrants[0:-1, :] deltas = jnp.where(deltas == 3, -1, deltas) deltas = jnp.where(deltas == -3, 1, deltas) # then flip sign if the R intercept is > Rsurf and the From 94dcfab7f7be9ee27f9cde2405b88bc7868595e7 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Thu, 20 Jun 2024 18:30:48 -0400 Subject: [PATCH 31/74] address comments --- desc/objectives/_geometry.py | 9 ++- tests/test_objective_funs.py | 146 ++++++++++++++++++++--------------- 2 files changed, 88 insertions(+), 67 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 252cadbb15..90be98d85d 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -9,7 +9,7 @@ from desc.compute.utils import _compute as compute_fun from desc.compute.utils import safenorm from desc.grid import LinearGrid, QuadratureGrid -from desc.utils import Timer, errorif +from desc.utils import Timer, errorif, parse_argname_change from .normalization import compute_scaling_factors from .objective_funs import _Objective @@ -609,10 +609,11 @@ def __init__( surface_grid=None, plasma_grid=None, use_softmin=False, - use_signed_distance=False, surface_fixed=False, softmin_alpha=1.0, name="plasma-vessel distance", + use_signed_distance=False, + **kwargs ): if target is None and bounds is None: bounds = (1, np.inf) @@ -622,7 +623,9 @@ def __init__( self._use_softmin = use_softmin self._use_signed_distance = use_signed_distance self._surface_fixed = surface_fixed - self._softmin_alpha = softmin_alpha + self._softmin_alpha = parse_argname_change( + softmin_alpha, kwargs, "alpha", "softmin_alpha" + ) super().__init__( things=[eq, self._surface] if not surface_fixed else [eq], target=target, diff --git a/tests/test_objective_funs.py b/tests/test_objective_funs.py index b6ce46724a..0d789d85fd 100644 --- a/tests/test_objective_funs.py +++ b/tests/test_objective_funs.py @@ -940,6 +940,88 @@ def test(eq, field, correct_value, rtol=1e-14, grid=None): test(eq, field, psi_from_field) + @pytest.mark.unit + def test_signed_plasma_vessel_distance(self): + """Test calculation of signed distance from plasma to vessel.""" + R0 = 10.0 + a_p = 1.0 + a_s = 2.0 + # default eq has R0=10, a=1 + eq = Equilibrium(M=3, N=2) + # surface with same R0, a=2, so true d=1 for all pts + surface = FourierRZToroidalSurface( + R_lmn=[R0, a_s], Z_lmn=[-a_s], modes_R=[[0, 0], [1, 0]], modes_Z=[[-1, 0]] + ) + grid = LinearGrid(M=5, N=6) + obj = PlasmaVesselDistance( + eq=eq, + surface_grid=grid, + plasma_grid=grid, + surface=surface, + use_signed_distance=True, + ) + obj.build() + d = obj.compute_unscaled(*obj.xs(eq, surface)) + assert obj.dim_f == d.size + np.testing.assert_allclose(d, a_s - a_p) + + # ensure that it works (dimension-wise) when compute_scaled is called + _ = obj.compute_scaled(*obj.xs(eq, surface)) + + # For plasma outside surface, should get signed distance + surface = FourierRZToroidalSurface( + R_lmn=[R0, a_p * 0.5], + Z_lmn=[-a_p * 0.5], + modes_R=[[0, 0], [1, 0]], + modes_Z=[[-1, 0]], + ) + grid = LinearGrid(M=5, N=6) + obj = PlasmaVesselDistance( + eq=eq, + surface_grid=grid, + plasma_grid=grid, + surface=surface, + use_signed_distance=True, + ) + obj.build() + d = obj.compute_unscaled(*obj.xs(eq, surface)) + assert obj.dim_f == d.size + np.testing.assert_allclose(d, -0.5 * a_p) + + # ensure it works with different sized grids (poloidal resolution different) + grid = LinearGrid(M=5, N=6) + obj = PlasmaVesselDistance( + eq=eq, + surface_grid=grid, + plasma_grid=LinearGrid(M=10, N=6), + surface=surface, + use_signed_distance=True, + ) + obj.build() + d = obj.compute_unscaled(*obj.xs(eq, surface)) + assert obj.dim_f == d.size + assert abs(d.max() - (-0.5 * a_p)) < 1e-14 + assert abs(d.min() - (-0.5 * a_p)) < grid.spacing[0, 1] * a_p * 0.5 + + # ensure it works with different sized grids (poloidal resolution different) + # and using softmin (with deprecated name alpha) + grid = LinearGrid(M=5, N=6) + with pytest.raises(FutureWarning): + obj = PlasmaVesselDistance( + eq=eq, + surface_grid=grid, + plasma_grid=LinearGrid(M=10, N=6), + surface=surface, + use_signed_distance=True, + use_softmin=True, + alpha=4000, + ) + obj.build() + d = obj.compute_unscaled(*obj.xs(eq, surface)) + assert obj.dim_f == d.size + assert abs(d.max() - (-0.5 * a_p)) < 1e-14 + assert abs(d.min() - (-0.5 * a_p)) < grid.spacing[0, 1] * a_p * 0.5 + @pytest.mark.regression def test_derivative_modes(): @@ -1124,70 +1206,6 @@ def test_target_profiles(): ) -@pytest.mark.unit -def test_signed_plasma_vessel_distance(): - """Test calculation of signed distance from plasma to vessel.""" - R0 = 10.0 - a_p = 1.0 - a_s = 2.0 - # default eq has R0=10, a=1 - eq = Equilibrium(M=3, N=2) - # surface with same R0, a=2, so true d=1 for all pts - surface = FourierRZToroidalSurface( - R_lmn=[R0, a_s], Z_lmn=[-a_s], modes_R=[[0, 0], [1, 0]], modes_Z=[[-1, 0]] - ) - grid = LinearGrid(M=5, N=6) - obj = PlasmaVesselDistance( - eq=eq, - surface_grid=grid, - plasma_grid=grid, - surface=surface, - use_signed_distance=True, - ) - obj.build() - d = obj.compute_unscaled(*obj.xs(eq, surface)) - assert obj.dim_f == d.size - np.testing.assert_allclose(d, a_s - a_p) - - # ensure that it works (dimension-wise) when compute_scaled is called - _ = obj.compute_scaled(*obj.xs(eq, surface)) - - # For plasma outside surface, should get signed distance - surface = FourierRZToroidalSurface( - R_lmn=[R0, a_p * 0.5], - Z_lmn=[-a_p * 0.5], - modes_R=[[0, 0], [1, 0]], - modes_Z=[[-1, 0]], - ) - grid = LinearGrid(M=5, N=6) - obj = PlasmaVesselDistance( - eq=eq, - surface_grid=grid, - plasma_grid=grid, - surface=surface, - use_signed_distance=True, - ) - obj.build() - d = obj.compute_unscaled(*obj.xs(eq, surface)) - assert obj.dim_f == d.size - np.testing.assert_allclose(d, -0.5 * a_p) - - # ensure it works with different sized grids (poloidal resolution different) - grid = LinearGrid(M=5, N=6) - obj = PlasmaVesselDistance( - eq=eq, - surface_grid=grid, - plasma_grid=LinearGrid(M=10, N=6), - surface=surface, - use_signed_distance=True, - ) - obj.build() - d = obj.compute_unscaled(*obj.xs(eq, surface)) - assert obj.dim_f == d.size - assert abs(d.max() - (-0.5 * a_p)) < 1e-14 - assert abs(d.min() - (-0.5 * a_p)) < grid.spacing[0, 1] * a_p * 0.5 - - @pytest.mark.unit def test_profile_objective_print(capsys): """Test that the profile objectives print correctly.""" From 36d1aba19e9c6ce1a47fdd27a2713f7770613e89 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Thu, 20 Jun 2024 18:57:27 -0400 Subject: [PATCH 32/74] change test to regression --- tests/test_optimizer.py | 7 ++++--- 1 file changed, 4 insertions(+), 3 deletions(-) diff --git a/tests/test_optimizer.py b/tests/test_optimizer.py index 681553df5e..3a57d4e16a 100644 --- a/tests/test_optimizer.py +++ b/tests/test_optimizer.py @@ -984,17 +984,18 @@ def test_constrained_AL_scalar(): @pytest.mark.slow -@pytest.mark.unit +@pytest.mark.regression @pytest.mark.optimize def test_signed_PlasmaVesselDistance(): """Tests that signed distance works with surface optimization.""" eq = desc.examples.get("HELIOTRON") + eq.change_resolution(M=2, N=2) constraints = (FixParameters(eq),) # don't want eq to change surf = eq.surface.copy() surf.change_resolution(M=1, N=1) - grid = LinearGrid(M=eq.M, N=eq.N, NFP=eq.NFP) + grid = LinearGrid(M=10, N=2, NFP=eq.NFP) obj = PlasmaVesselDistance( surface=surf, eq=eq, @@ -1048,7 +1049,7 @@ def test_signed_PlasmaVesselDistance(): eq = Equilibrium(M=1, N=1) surf = eq.surface.copy() surf.change_resolution(M=1, N=1) - grid = LinearGrid(M=12, N=2, NFP=eq.NFP) + grid = LinearGrid(M=10, N=2, NFP=eq.NFP) obj = PlasmaVesselDistance( surface=surf, From 8f998f9e8ce864c92536f3bbdedbbd8a634c9b00 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Fri, 21 Jun 2024 09:20:26 -0400 Subject: [PATCH 33/74] fix error in test --- desc/objectives/_geometry.py | 5 ++++- tests/test_objective_funs.py | 2 +- 2 files changed, 5 insertions(+), 2 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 90be98d85d..dc64448a62 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -613,7 +613,7 @@ def __init__( softmin_alpha=1.0, name="plasma-vessel distance", use_signed_distance=False, - **kwargs + **kwargs, ): if target is None and bounds is None: bounds = (1, np.inf) @@ -626,6 +626,9 @@ def __init__( self._softmin_alpha = parse_argname_change( softmin_alpha, kwargs, "alpha", "softmin_alpha" ) + assert ( + len(kwargs) == 0 + ), f"PlasmaVesselDistance got unexpected keyword argument: {kwargs.keys()}" super().__init__( things=[eq, self._surface] if not surface_fixed else [eq], target=target, diff --git a/tests/test_objective_funs.py b/tests/test_objective_funs.py index 0d789d85fd..7efb45f1a1 100644 --- a/tests/test_objective_funs.py +++ b/tests/test_objective_funs.py @@ -664,7 +664,7 @@ def test_plasma_vessel_distance(self): surface_grid=surf_grid, surface=surface, use_softmin=True, - sofmtin_alpha=100, + softmin_alpha=100, ) obj.build() d = obj.compute_unscaled(*obj.xs(eq, surface)) From 5777896c603a8e8a8c37e722f5a89ca97746f2ab Mon Sep 17 00:00:00 2001 From: unalmis Date: Fri, 5 Jul 2024 15:10:08 -0500 Subject: [PATCH 34/74] Move new compute functions from #1003 and #854 here --- desc/compute/_basis_vectors.py | 236 ++++++++++++++++++++++++++- desc/compute/_core.py | 113 ++++++++++++- desc/compute/_field.py | 90 +++++++++- desc/compute/_metric.py | 85 +++++++++- tests/inputs/master_compute_data.pkl | Bin 7794246 -> 8012490 bytes tests/test_compute_funs.py | 46 +++++- 6 files changed, 546 insertions(+), 24 deletions(-) diff --git a/desc/compute/_basis_vectors.py b/desc/compute/_basis_vectors.py index 44433252cb..0ff9eb5022 100644 --- a/desc/compute/_basis_vectors.py +++ b/desc/compute/_basis_vectors.py @@ -13,7 +13,7 @@ from .data_index import register_compute_fun from .geom_utils import rpz2xyz_vec -from .utils import cross, safediv +from .utils import cross, dot, safediv @register_compute_fun( @@ -38,7 +38,7 @@ def _b(params, transforms, profiles, data, **kwargs): @register_compute_fun( - name="e^rho", + name="e^rho", # ∇ρ is the same in DESC and field line coordinates. label="\\mathbf{e}^{\\rho}", units="m^{-1}", units_long="inverse meters", @@ -1007,7 +1007,7 @@ def _e_sup_theta_zz(params, transforms, profiles, data, **kwargs): @register_compute_fun( - name="e^zeta", + name="e^zeta", # ∇ζ is the same in DESC and field line coordinates. label="\\mathbf{e}^{\\zeta}", units="m^{-1}", units_long="inverse meters", @@ -2612,7 +2612,7 @@ def _e_sub_theta_over_sqrt_g(params, transforms, profiles, data, **kwargs): basis="basis", ) def _e_sub_theta_pest(params, transforms, profiles, data, **kwargs): - # dX/dv at const r,z = dX/dt * dt/dv / dX/dt / dv/dt + # dX/dv at const r,z = dX/dt * dt/dv = dX/dt / dv/dt data["e_theta_PEST"] = (data["e_theta"].T / data["theta_PEST_t"]).T if kwargs.get("basis", "rpz").lower() == "xyz": data["e_theta_PEST"] = rpz2xyz_vec(data["e_theta_PEST"], phi=data["phi"]) @@ -3551,3 +3551,231 @@ def _n_zeta(params, transforms, profiles, data, **kwargs): def _e_sub_theta_rp(params, transforms, profiles, data, **kwargs): data["e_theta|r,p"] = data["e_theta"] - (data["e_phi"].T * data["phi_t"]).T return data + + +@register_compute_fun( + name="e_rho|a,z", + label="\\mathbf{e}_{\\rho} |_{\\alpha, \\zeta}", + units="m", + units_long="meters", + description="Tangent vector along radial field line label", + dim=3, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["e_rho", "e_alpha", "alpha_r"], +) +def _e_rho_az(params, transforms, profiles, data, **kwargs): + # constant α and ζ + data["e_rho|a,z"] = data["e_rho"] - (data["e_alpha"].T * data["alpha_r"]).T + return data + + +@register_compute_fun( + name="e_alpha", + label="\\mathbf{e}_{\\alpha}", + units="m", + units_long="meters", + description="Tangent vector along poloidal field line label", + dim=3, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["e_theta", "alpha_t"], +) +def _e_alpha(params, transforms, profiles, data, **kwargs): + # constant ρ and ζ + data["e_alpha"] = (data["e_theta"].T / data["alpha_t"]).T + return data + + +@register_compute_fun( + name="e_alpha_t", + label="\\partial_{\\theta} \\mathbf{e}_{\\alpha}", + units="m", + units_long="meters", + description="Tangent vector along poloidal field line label, derivative wrt" + " DESC poloidal angle", + dim=3, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["e_theta", "alpha_t", "e_theta_t", "alpha_tt"], +) +def _e_alpha_t(params, transforms, profiles, data, **kwargs): + data["e_alpha_t"] = ( + (data["e_theta_t"].T * data["alpha_t"] + data["e_theta"].T * data["alpha_tt"]) + / data["alpha_t"] ** 2 + ).T + return data + + +@register_compute_fun( + name="e_alpha_z", + label="\\partial_{\\zeta} \\mathbf{e}_{\\alpha}", + units="m", + units_long="meters", + description="Tangent vector along poloidal field line label, toroidal derivative", + dim=3, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["e_theta", "alpha_t", "e_theta_z", "alpha_tz"], +) +def _e_alpha_z(params, transforms, profiles, data, **kwargs): + data["e_alpha_z"] = ( + (data["e_theta_z"].T * data["alpha_t"] - data["e_theta"].T * data["alpha_tz"]) + / data["alpha_t"] ** 2 + ).T + return data + + +@register_compute_fun( + name="e_zeta|r,a", # Same as B/(B⋅∇ζ). + label="\\mathbf{e}_{\\zeta} |_{\\rho, \\alpha} " + "= \\frac{\\mathbf{B}}{\\mathbf{B} \\cdot \\nabla \\zeta}", + units="m", + units_long="meters", + description="Tangent vector along (collinear to) field line", + dim=3, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["e_zeta", "e_alpha", "alpha_z"], +) +def _e_zeta_ra(params, transforms, profiles, data, **kwargs): + # ∂ℓ/∂ζ (constant ρ and α) = ∂ℓ/∂ζ (constant ρ and θ) + # - ∂ℓ/∂α (constant ρ and ζ) * ∂α/∂ζ (constant ρ and θ) + data["e_zeta|r,a"] = data["e_zeta"] - (data["e_alpha"].T * data["alpha_z"]).T + return data + + +@register_compute_fun( + name="(e_zeta|r,a)_t", + label="\\partial_{\\theta} (\\mathbf{e}_{\\zeta} |_{\\rho, \\alpha})", + units="m", + units_long="meters", + description="Tangent vector along (collinear to) field line, poloidal derivative", + dim=3, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["e_zeta_t", "e_alpha", "alpha_z", "e_alpha_t", "alpha_tz"], +) +def _e_zeta_ra_t(params, transforms, profiles, data, **kwargs): + data["(e_zeta|r,a)_t"] = ( + data["e_zeta_t"] + - ( + data["e_alpha_t"].T * data["alpha_z"] + data["e_alpha"].T * data["alpha_tz"] + ).T + ) + return data + + +@register_compute_fun( + name="(e_zeta|r,a)_a", + label="\\partial_{\\alpha} (\\mathbf{e}_{\\zeta} |_{\\rho, \\alpha})", + units="m", + units_long="meters", + description="Tangent vector along (collinear to) field line, derivative " + "wrt field line poloidal label", + dim=3, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["(e_zeta|r,a)_t", "alpha_t"], +) +def _e_zeta_ra_a(params, transforms, profiles, data, **kwargs): + data["(e_zeta|r,a)_a"] = (data["(e_zeta|r,a)_t"].T / data["alpha_t"]).T + return data + + +@register_compute_fun( + name="(e_zeta|r,a)_z", + label="\\partial_{\\zeta} (\\mathbf{e}_{\\zeta} |_{\\rho, \\alpha})", + units="m", + units_long="meters", + description="Tangent vector along (collinear to) field line, toroidal derivative", + dim=3, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["e_zeta_z", "e_alpha", "alpha_z", "e_alpha_z", "alpha_zz"], +) +def _e_zeta_ra_z(params, transforms, profiles, data, **kwargs): + data["(e_zeta|r,a)_z"] = ( + data["e_zeta_z"] + - ( + data["e_alpha_z"].T * data["alpha_z"] + data["e_alpha"].T * data["alpha_zz"] + ).T + ) + return data + + +@register_compute_fun( + name="(e_zeta_z)|r,a", + label="\\partial_{\\zeta} (\\mathbf{e}_{\\zeta} |_{\\rho, \\alpha}) " + "|_{\\rho, \\alpha}", + units="m", + units_long="meters", + description="Curvature vector along field line", + dim=3, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["(e_zeta|r,a)_z", "(e_zeta|r,a)_a", "alpha_z"], +) +def _e_zeta_z_ra(params, transforms, profiles, data, **kwargs): + data["(e_zeta_z)|r,a"] = ( + data["(e_zeta|r,a)_z"] - (data["(e_zeta|r,a)_a"].T * data["alpha_z"]).T + ) + return data + + +@register_compute_fun( + name="|e_zeta|r,a|", # Often written as |dℓ/dζ| = |B/(B⋅∇ζ)|. + label="|\\mathbf{e}_{\\zeta} |_{\\rho, \\alpha}|" + " = \\frac{|\\mathbf{B}|}{|\\mathbf{B} \\cdot \\nabla \\zeta|}", + units="m", + units_long="meters", + description="Differential length along field line", + dim=3, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["e_zeta|r,a"], +) +def _d_ell_d_zeta(params, transforms, profiles, data, **kwargs): + data["|e_zeta|r,a|"] = jnp.linalg.norm(data["e_zeta|r,a"], axis=-1) + return data + + +@register_compute_fun( + name="(|e_zeta|_z)|r,a", + label="\\partial_{\\zeta} |\\mathbf{e}_{\\zeta} |_{\\rho, \\alpha}| " + "|_{\\rho, \\alpha}", + units="m", + units_long="meters", + description="Differential length along field line, derivative along field line", + dim=3, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["|e_zeta|r,a|", "(e_zeta_z)|r,a", "e_zeta|r,a"], +) +def _d_ell_d_zeta_z(params, transforms, profiles, data, **kwargs): + data["(|e_zeta|_z)|r,a"] = ( + dot(data["(e_zeta_z)|r,a"], data["e_zeta|r,a"]) / data["|e_zeta|r,a|"] + ) + return data diff --git a/desc/compute/_core.py b/desc/compute/_core.py index a157d91412..2947e244a2 100644 --- a/desc/compute/_core.py +++ b/desc/compute/_core.py @@ -1518,7 +1518,43 @@ def _alpha_r(params, transforms, profiles, data, **kwargs): data=["theta_PEST_t", "phi_t", "iota"], ) def _alpha_t(params, transforms, profiles, data, **kwargs): - data["alpha_t"] = data["theta_PEST_t"] + data["iota"] * data["phi_t"] + data["alpha_t"] = data["theta_PEST_t"] - data["iota"] * data["phi_t"] + return data + + +@register_compute_fun( + name="alpha_tt", + label="\\partial_{\\theta \\theta} \\alpha", + units="~", + units_long="None", + description="Field line label, second derivative wrt poloidal coordinate", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["theta_PEST_tt", "phi_tt", "iota"], +) +def _alpha_tt(params, transforms, profiles, data, **kwargs): + data["alpha_tt"] = data["theta_PEST_tt"] - data["iota"] * data["phi_tt"] + return data + + +@register_compute_fun( + name="alpha_tz", + label="\\partial_{\\theta \\zeta} \\alpha", + units="~", + units_long="None", + description="Field line label, derivative wrt poloidal and toroidal coordinates", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["theta_PEST_tz", "phi_tz", "iota"], +) +def _alpha_tz(params, transforms, profiles, data, **kwargs): + data["alpha_tz"] = data["theta_PEST_tz"] - data["iota"] * data["phi_tz"] return data @@ -1540,6 +1576,24 @@ def _alpha_z(params, transforms, profiles, data, **kwargs): return data +@register_compute_fun( + name="alpha_zz", + label="\\partial_{\\zeta \\zeta} \\alpha", + units="~", + units_long="None", + description="Field line label, second derivative wrt toroidal coordinate", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["theta_PEST_zz", "phi_zz", "iota"], +) +def _alpha_zz(params, transforms, profiles, data, **kwargs): + data["alpha_zz"] = data["theta_PEST_zz"] - data["iota"] * data["phi_zz"] + return data + + @register_compute_fun( name="lambda", label="\\lambda", @@ -2983,6 +3037,44 @@ def _theta_PEST_t(params, transforms, profiles, data, **kwargs): return data +@register_compute_fun( + name="theta_PEST_tt", + label="\\partial_{\\theta \\theta} \\vartheta", + units="rad", + units_long="radians", + description="PEST straight field line poloidal angular coordinate, second " + "derivative wrt poloidal coordinate", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["lambda_tt"], +) +def _theta_PEST_tt(params, transforms, profiles, data, **kwargs): + data["theta_PEST_tt"] = data["lambda_tt"] + return data + + +@register_compute_fun( + name="theta_PEST_tz", + label="\\partial_{\\theta \\zeta} \\vartheta", + units="rad", + units_long="radians", + description="PEST straight field line poloidal angular coordinate, derivative wrt " + "poloidal and toroidal coordinates", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["lambda_tz"], +) +def _theta_PEST_tz(params, transforms, profiles, data, **kwargs): + data["theta_PEST_tz"] = data["lambda_tz"] + return data + + @register_compute_fun( name="theta_PEST_z", label="\\partial_{\\zeta} \\vartheta", @@ -3002,6 +3094,25 @@ def _theta_PEST_z(params, transforms, profiles, data, **kwargs): return data +@register_compute_fun( + name="theta_PEST_zz", + label="\\partial_{\\zeta \\zeta} \\vartheta", + units="rad", + units_long="radians", + description="PEST straight field line poloidal angular coordinate, second " + "derivative wrt toroidal coordinate", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["lambda_zz"], +) +def _theta_PEST_zz(params, transforms, profiles, data, **kwargs): + data["theta_PEST_zz"] = data["lambda_zz"] + return data + + @register_compute_fun( name="theta_r", label="\\partial_{\\rho} \\theta", diff --git a/desc/compute/_field.py b/desc/compute/_field.py index 6285fd9c92..53f5b99c2f 100644 --- a/desc/compute/_field.py +++ b/desc/compute/_field.py @@ -483,6 +483,49 @@ def _B_sup_zeta_z(params, transforms, profiles, data, **kwargs): return data +@register_compute_fun( + name="B^zeta_a", + label="\\partial_{\\alpha} B^{\\zeta}", + units="T \\cdot m^{-1}", + units_long="Tesla / meter", + description=( + "Contravariant toroidal component of magnetic field, derivative wrt field" + " line poloidal label" + ), + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["B^zeta_t", "alpha_t"], +) +def _B_sup_zeta_a(params, transforms, profiles, data, **kwargs): + # constant ρ and ζ + data["B^zeta_a"] = data["B^zeta_t"] / data["alpha_t"] + return data + + +@register_compute_fun( + name="B^zeta_z|r,a", + label="\\partial_{\\zeta} B^{\\zeta} |_{\\rho, \\alpha}", + units="T \\cdot m^{-1}", + units_long="Tesla / meter", + description=( + "Contravariant toroidal component of magnetic field, derivative along field" + " line" + ), + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["B^zeta_z", "B^zeta_a", "alpha_z"], +) +def _B_sup_zeta_z_ra(params, transforms, profiles, data, **kwargs): + data["B^zeta_z|r,a"] = data["B^zeta_z"] - data["B^zeta_a"] * data["alpha_z"] + return data + + @register_compute_fun( name="B_z", label="\\partial_{\\zeta} \\mathbf{B}", @@ -2295,6 +2338,45 @@ def _B_mag_z(params, transforms, profiles, data, **kwargs): return data +@register_compute_fun( + name="|B|_a", + label="\\partial_{\\alpha} (|\\mathbf{B}|) |_{\\rho, \\zeta}", + units="T", + units_long="Tesla", + description="Magnitude of magnetic field, derivative wrt field line angle", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["|B|_t", "alpha_t"], +) +def _B_mag_alpha(params, transforms, profiles, data, **kwargs): + # constant ρ and ζ + data["|B|_a"] = data["|B|_t"] / data["alpha_t"] + return data + + +@register_compute_fun( + name="|B|_z|r,a", + label="\\partial_{\\zeta} (|\\mathbf{B}|) |_{\\rho, \\alpha}", + units="T", + units_long="Tesla", + description="Magnitude of magnetic field, derivative along field line", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["|B|_z", "|B|_a", "alpha_z"], +) +def _B_mag_z_constant_rho_alpha(params, transforms, profiles, data, **kwargs): + # ∂|B|/∂ζ (constant ρ and α) = ∂|B|/∂ζ (constant ρ and θ) + # - ∂|B|/∂α (constant ρ and ζ) * ∂α/∂ζ (constant ρ and θ) + data["|B|_z|r,a"] = data["|B|_z"] - data["|B|_a"] * data["alpha_z"] + return data + + @register_compute_fun( name="|B|_rr", label="\\partial_{\\rho\\rho} |\\mathbf{B}|", @@ -2617,11 +2699,11 @@ def _B_vol(params, transforms, profiles, data, **kwargs): transforms={"grid": []}, profiles=[], coordinates="", - data=["sqrt(g)", "|B|", "V"], + data=["sqrt(g)", "|B|^2", "V"], ) def _B_rms(params, transforms, profiles, data, **kwargs): data["<|B|>_rms"] = jnp.sqrt( - jnp.sum(data["|B|"] ** 2 * data["sqrt(g)"] * transforms["grid"].weights) + jnp.sum(data["|B|^2"] * data["sqrt(g)"] * transforms["grid"].weights) / data["V"] ) return data @@ -3312,7 +3394,7 @@ def _kappa(params, transforms, profiles, data, **kwargs): label="\\kappa_n", units="m^{-1}", units_long="Inverse meters", - description="Normal curvature vector of magnetic field lines", + description="Normal curvature of magnetic field lines", dim=1, params=[], transforms={}, @@ -3330,7 +3412,7 @@ def _kappa_n(params, transforms, profiles, data, **kwargs): label="\\kappa_g", units="m^{-1}", units_long="Inverse meters", - description="Geodesic curvature vector of magnetic field lines", + description="Geodesic curvature of magnetic field lines", dim=1, params=[], transforms={}, diff --git a/desc/compute/_metric.py b/desc/compute/_metric.py index 42dd5c8218..f2405b3f9a 100644 --- a/desc/compute/_metric.py +++ b/desc/compute/_metric.py @@ -14,7 +14,7 @@ from desc.backend import jnp from .data_index import register_compute_fun -from .utils import cross, dot, safediv, safenorm +from .utils import cross, dot, safediv, safenorm, surface_averages @register_compute_fun( @@ -55,6 +55,27 @@ def _sqrtg_pest(params, transforms, profiles, data, **kwargs): return data +@register_compute_fun( + name="sqrt(g)_Clebsch", + label="\\sqrt{g}_{\\text{Clebsch}}", + units="m^{3}", + units_long="cubic meters", + description="Jacobian determinant of Clebsch field line coordinate system (ρ,α,ζ)" + " where ζ is the DESC toroidal coordinate.", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["sqrt(g)", "alpha_t"], +) +def _sqrtg_clebsch(params, transforms, profiles, data, **kwargs): + # Same as dot(data["e_rho|a,z"], cross(data["e_alpha"], data["e_zeta|r,a"])), but + # more efficient as it avoids computing radial derivative of alpha and hence iota. + data["sqrt(g)_Clebsch"] = data["sqrt(g)"] / data["alpha_t"] + return data + + @register_compute_fun( name="|e_theta x e_zeta|", label="|\\mathbf{e}_{\\theta} \\times \\mathbf{e}_{\\zeta}|", @@ -225,6 +246,27 @@ def _e_rho_x_e_theta(params, transforms, profiles, data, **kwargs): return data +@register_compute_fun( + name="|e_rho x e_alpha|", + label="|\\mathbf{e}_{\\rho} \\times \\mathbf{e}_{\\alpha}|", + units="m^{2}", + units_long="square meters", + description="2D Jacobian determinant for constant zeta surface in Clebsch " + "field line coordinates (ρ,α,ζ) where ζ is the DESC toroidal coordinate.", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["|e_rho x e_theta|", "alpha_t"], +) +def _e_rho_x_e_alpha(params, transforms, profiles, data, **kwargs): + # Same as safenorm(cross(data["e_rho|a,z"], data["e_alpha"]), axis=-1), but more + # efficient as it avoids computing radial derivative of iota and stream functions. + data["|e_rho x e_alpha|"] = data["|e_rho x e_theta|"] / jnp.abs(data["alpha_t"]) + return data + + @register_compute_fun( name="|e_rho x e_theta|_r", label="\\partial_{\\rho} |\\mathbf{e}_{\\rho} \\times \\mathbf{e}_{\\theta}|", @@ -1327,7 +1369,7 @@ def _g_sup_zz(params, transforms, profiles, data, **kwargs): label="g^{\\rho\\theta}", units="m^{-2}", units_long="inverse square meters", - description="Radial/Poloidal element of contravariant metric tensor", + description="Radial/Poloidal (ρ, θ) element of contravariant metric tensor", dim=1, params=[], transforms={}, @@ -1755,6 +1797,31 @@ def _gradrho(params, transforms, profiles, data, **kwargs): return data +@register_compute_fun( + name="<|grad(rho)|>", # same as S(r) / V_r(r) + label="\\langle \\vert \\nabla \\rho \\vert \\rangle|", + units="m^{-1}", + units_long="inverse meters", + description="Magnitude of contravariant radial basis vector, flux surface average", + dim=1, + params=[], + transforms={"grid": []}, + profiles=[], + coordinates="r", + data=["|grad(rho)|", "sqrt(g)"], + axis_limit_data=["sqrt(g)_r"], +) +def _gradrho_norm_fsa(params, transforms, profiles, data, **kwargs): + data["<|grad(rho)|>"] = surface_averages( + transforms["grid"], + data["|grad(rho)|"], + sqrt_g=transforms["grid"].replace_at_axis( + data["sqrt(g)"], lambda: data["sqrt(g)_r"], copy=True + ), + ) + return data + + @register_compute_fun( name="|grad(psi)|", label="|\\nabla\\psi|", @@ -1843,12 +1910,12 @@ def _gradzeta(params, transforms, profiles, data, **kwargs): transforms={}, profiles=[], coordinates="rtz", - data=["|B|", "b", "grad(alpha)", "grad(|B|)"], + data=["|B|^2", "b", "grad(alpha)", "grad(|B|)"], ) def _gbdrift(params, transforms, profiles, data, **kwargs): data["gbdrift"] = ( 1 - / data["|B|"] ** 2 + / data["|B|^2"] * dot(data["b"], cross(data["grad(|B|)"], data["grad(alpha)"])) ) return data @@ -1870,11 +1937,11 @@ def _gbdrift(params, transforms, profiles, data, **kwargs): transforms={}, profiles=[], coordinates="rtz", - data=["p_r", "psi_r", "|B|", "gbdrift"], + data=["p_r", "psi_r", "|B|^2", "gbdrift"], ) def _cvdrift(params, transforms, profiles, data, **kwargs): dp_dpsi = mu_0 * data["p_r"] / data["psi_r"] - data["cvdrift"] = 1 / data["|B|"] ** 2 * dp_dpsi + data["gbdrift"] + data["cvdrift"] = 1 / data["|B|^2"] * dp_dpsi + data["gbdrift"] return data @@ -1888,16 +1955,16 @@ def _cvdrift(params, transforms, profiles, data, **kwargs): units="1/(T-m^{2})", units_long="inverse Tesla meters^2", description="Radial component of the geometric part of the curvature drift" - + " used for local stability analyses, Gamma_c, epsilon_eff etc.", + + " used for local stability analyses, gyrokinetics, Gamma_c.", dim=1, params=[], transforms={}, profiles=[], coordinates="rtz", - data=["|B|", "b", "e^rho", "grad(|B|)"], + data=["|B|^2", "b", "e^rho", "grad(|B|)"], ) def _cvdrift0(params, transforms, profiles, data, **kwargs): data["cvdrift0"] = ( - 1 / data["|B|"] ** 2 * (dot(data["b"], cross(data["grad(|B|)"], data["e^rho"]))) + 1 / data["|B|^2"] * (dot(data["b"], cross(data["grad(|B|)"], data["e^rho"]))) ) return data diff --git a/tests/inputs/master_compute_data.pkl b/tests/inputs/master_compute_data.pkl index b356ddfceb21875df5431807cc19782caa6b0141..59ee6b192aae983ea47f38856bd3c7e08adf0667 100644 GIT binary patch delta 204820 zcmce9cOaGT`~R``DtoUoveGU*Dw1St327)P4U$njGzm${sVF0%Au~rtx4rk?dq>is zLVk}U&t1K%cc1U~`}z5!$GPtNxv$rAy{>iN=N#p?wonyc9-^Xlr@l?;PrZ(sYS+F^ z{zx=^nq$jD^}Dw=`j5%X$xa3MQ}P9Tq!0+;pq`03v?+Vr2&~=K<*uRS?G$^gL6OZ%P zaS~l`($iDXoU$j5N6^R;k+0M;i6M%|D~W69jRjvQQKWOy-Co2-K_C!_%e5^yiKnb7 zR7s~yH=g1o8WgKB5k*31=}E6-C}?kzf-PyAI7#tOs2e#+enC{&?^Nq3<76mrOAz-7 zQ}K{;4p5S0NOvnKeAS3aX%rkJ<1orvPEu|fMFS^ECYchu0b!$T;H1vM)RCr(DZ4l+ za!BnR*j<#ACd4oeO#R!{rktcoHHu(P%G-X0w4L=yne%GIc#V}}=*2iYno>&jkAHcc zI&HSfu8LCqZ?9?SvBBa_O7-7e(Vqu)GivV9`9!Jyw^#r5!z<5lQ>p*$)uX0a?Akgi z^>0^n;g{cDyZs%US@%(?|LwK2QTu7?MJn~byP{O;c7|;=O%MP6$}@S%p)!?9{co>- zq!#@J_kYXn!n~g;{I}QNQ;Yr$*MH0H!n~h2{w=lGJe2GVf6MK{yuafX`oQlgMt{xy 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z;{SNQrVFTgo$}N8@|6>3$KcO0IB~3S!hKhMYbWH_dP2*<2BjV|C?)A~{xPasFfb01^`a^?d*dJ^$1`fP|iZbRU4j zlJWhG0SVM!*%)Yi+fvf_f8jO&;hby(kZ*r+8-T!mYa4)6es3Fq0FZ3}^6me&0pxct z|L!&bbF1^X@-Y4fHwF|haUwYWrM`PX^Z&L1q%bLt-!${@RhW~yW1OL)RPR^S+ z9|90uGhKyiGt=QcA^8pm4=(_xS5eyCJVO_^d7GP>9`{?#DZWmv2q4HRKl?G0)w>-x9n4FVXFs>URmJ9!<{_>hL>Aa4hB}WqZRP z8(elF-5k4@rgzukUu{m>U}zJkmEBvtsaoavZp@*h7q-){@ zFVe5^m;?{I+H@;4^%bCiXSv{qBkK7&eH}lp1N-J5=>e*R$g(bdopzj*BPOq4ZK9k4 zA!_9=_B2WiOreWU~^yUNp^A?ri(AQ!2d z@rPoali{Lesva?}WGC2_d8) z;wu!$Ur5Vonh^jZx6{aQ$VthVBN4VGGUR1Ul?Z#aM8r6lpRs@l7A(RT-B-)Vmb|D) ze(0f9>KW7cuO!liYCY6ZBV(HOD;cRTnSQL%3yqA~I`UHX?K%mLJWYib5}`uRdbq0~ zV~R|uq@-4uF_LGMGpXGV9N2E4{3uVclGZFPVvse}pO1ziTv zONK-uVN#dUlp%tZaIQhdN{MW95;6?XQG<+G9MPh9!wmQne~QMmNjKSFCJ&BfH$%&f zGM0Ydyzy62##Nq9Pg#4ZjelyEu~|oMzpS-ep))2Kn-#4+*EC}@$7H#NKG;kF2PlOM zA1`x-7F;9eTL3j2ljfScx|L!b*W5L26zjO=F0^CnFT*NP1*sGJ zD%MF Date: Fri, 5 Jul 2024 15:27:36 -0500 Subject: [PATCH 35/74] Add warning for radial resolution --- tests/test_compute_funs.py | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/tests/test_compute_funs.py b/tests/test_compute_funs.py index d2357e43e6..5486ed948b 100644 --- a/tests/test_compute_funs.py +++ b/tests/test_compute_funs.py @@ -1691,7 +1691,8 @@ def test_surface_equilibrium_geometry(): def test_parallel_grad(): """Test geometric and physical methods of computing parallel gradients agree.""" eq = get("W7-X") - eq.change_resolution(2, 2, 2, 4, 4, 4) + with pytest.warns(UserWarning, match="Reducing radial"): + eq.change_resolution(2, 2, 2, 4, 4, 4) data = eq.compute( [ "e_zeta|r,a", @@ -1702,7 +1703,7 @@ def test_parallel_grad(): "(|e_zeta|_z)|r,a", "B^zeta_z|r,a", "|B|", - ] + ], ) np.testing.assert_allclose(data["e_zeta|r,a"], (data["B"].T / data["B^zeta"]).T) np.testing.assert_allclose( From 004108a97c183e26fdb5983b20c24007ec13a75d Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Sat, 6 Jul 2024 14:54:39 -0400 Subject: [PATCH 36/74] move sign distance function to a utility function --- desc/objectives/_geometry.py | 49 ++----------------------- desc/objectives/utils.py | 70 ++++++++++++++++++++++++++++++++++++ 2 files changed, 72 insertions(+), 47 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 8d3b325cc2..dc3728cbaa 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -11,7 +11,7 @@ from .normalization import compute_scaling_factors from .objective_funs import _Objective -from .utils import softmin +from .utils import check_if_points_are_inside_perimeter, softmin class AspectRatio(_Objective): @@ -802,51 +802,6 @@ def compute(self, equil_params, surface_params=None, constants=None): if self._use_signed_distance: surface_coords_rpz = xyz2rpz(surface_coords) - def _find_angle_vec(R, Z, Rsurf, Zsurf): - # R Z are plasma points, - # Rsurf Zsurf are the surface points being checked for whether - # or not they are inside the plasma - - # algorithm based off of "An Incremental Angle Point in Polygon Test", - # K. Weiler, https://doi.org/10.1016/B978-0-12-336156-1.50012-4 - - Rbool = R[:, None] > Rsurf - Zbool = Z[:, None] > Zsurf - # these are now size (Nplasma, Nsurf) - quadrants = jnp.zeros_like(Rbool) - quadrants = jnp.where( - jnp.logical_and(jnp.logical_not(Rbool), Zbool), 1, quadrants - ) - quadrants = jnp.where( - jnp.logical_and(jnp.logical_not(Rbool), jnp.logical_not(Zbool)), - 2, - quadrants, - ) - quadrants = jnp.where( - jnp.logical_and(Rbool, jnp.logical_not(Zbool)), 3, quadrants - ) - deltas = quadrants[1:, :] - quadrants[0:-1, :] - deltas = jnp.where(deltas == 3, -1, deltas) - deltas = jnp.where(deltas == -3, 1, deltas) - # then flip sign if the R intercept is > Rsurf and the - # quadrant flipped over a diagonal - b = (Z[1:] / R[1:] - Z[0:-1] / R[0:-1]) / (Z[1:] - Z[0:-1]) - Rint = Rsurf[:, None] - b * (R[1:] - R[0:-1]) / (Z[1:] - Z[0:-1]) - deltas = jnp.where( - jnp.logical_and(jnp.abs(deltas) == 2, Rint.T > Rsurf), - -deltas, - deltas, - ) - pt_sign = jnp.sum(deltas, axis=0) - # positive distance if the plasma pt is inside the surface, else - # negative distance is assigned - # pt_sign = 0 : Means SURFACE is OUTSIDE of the PLASMA, - # assign positive distance - # pt_sign = +/-4: Means SURFACE is INSIDE PLASMA, so - # assign negative distance - pt_sign = jnp.where(jnp.isclose(pt_sign, 0), 1, -1) - return pt_sign - plasma_coords_rpz = plasma_coords_rpz.reshape( constants["equil_transforms"]["grid"].num_zeta, constants["equil_transforms"]["grid"].num_theta, @@ -865,7 +820,7 @@ def fun(plasma_pts_at_zeta_plane, surface_pts_at_zeta_plane): ) surface_pts_at_zeta_plane - pt_sign = _find_angle_vec( + pt_sign = check_if_points_are_inside_perimeter( plasma_pts_at_zeta_plane[:, 0], plasma_pts_at_zeta_plane[:, 2], surface_pts_at_zeta_plane[:, 0], diff --git a/desc/objectives/utils.py b/desc/objectives/utils.py index 55f4f671c2..e0d2833514 100644 --- a/desc/objectives/utils.py +++ b/desc/objectives/utils.py @@ -307,3 +307,73 @@ def _parse_callable_target_bounds(target, bounds, x): if bounds is not None and callable(bounds[1]): bounds = (bounds[0], bounds[1](x)) return target, bounds + + +# TODO: dont need to be R,Z, can by x1, x2 or something +def check_if_points_are_inside_perimeter(R, Z, Rcheck, Zcheck): + """Function to check if the given points is inside the given polyognal perimeter. + + Rcheck, Zcheck are the points to check, and R, Z define the perimeter + in which to check. This function assumes that all points are in the same + plane. Function will return an array pf signs (+/- 1), with positive sign meaning + the point is inside of the given perimeter, and a negative sign meaning the point + is outside of the given perimeter. + + Algorithm based off of "An Incremental Angle Point in Polygon Test", + K. Weiler, https://doi.org/10.1016/B978-0-12-336156-1.50012-4 + + Parameters + ---------- + R,Z : ndarray + 1-D arrays of coordinates of the points defining the polygonal + perimeter. The function will determine if the check point is inside + or outside of this perimeter. + Rcheck, Zcheck : ndarray + coordinates of the points being checked if they are inside or outside of the + given perimeter. + + Returns + ------- + pt_sign : ndarray of {-1,1} + Integers corresponding to if the given point is inside or outside of the given + perimeter, with pt_sign[i]>0 meaning the point given by Rcheck[i], Zcheck[i] is + inside of the given perimeter, and a negative sign meaning the point is outside + of the given perimeter. + + """ + # R Z are the perimeter points + # Rcheck Zcheck are the surface points being checked for whether + # or not they are inside the plasma + + Rbool = R[:, None] > Rcheck + Zbool = Z[:, None] > Zcheck + # these are now size (Nplasma, Nsurf) + quadrants = jnp.zeros_like(Rbool) + quadrants = jnp.where(jnp.logical_and(jnp.logical_not(Rbool), Zbool), 1, quadrants) + quadrants = jnp.where( + jnp.logical_and(jnp.logical_not(Rbool), jnp.logical_not(Zbool)), + 2, + quadrants, + ) + quadrants = jnp.where(jnp.logical_and(Rbool, jnp.logical_not(Zbool)), 3, quadrants) + deltas = quadrants[1:, :] - quadrants[0:-1, :] + deltas = jnp.where(deltas == 3, -1, deltas) + deltas = jnp.where(deltas == -3, 1, deltas) + # then flip sign if the R intercept is > Rcheck and the + # quadrant flipped over a diagonal + b = (Z[1:] / R[1:] - Z[0:-1] / R[0:-1]) / (Z[1:] - Z[0:-1]) + Rint = Rcheck[:, None] - b * (R[1:] - R[0:-1]) / (Z[1:] - Z[0:-1]) + deltas = jnp.where( + jnp.logical_and(jnp.abs(deltas) == 2, Rint.T > Rcheck), + -deltas, + deltas, + ) + pt_sign = jnp.sum(deltas, axis=0) + # positive distance if the plasma pt is inside the surface, else + # negative distance is assigned + # pt_sign = 0 : Means SURFACE is OUTSIDE of the PLASMA, + # assign positive distance + # pt_sign = +/-4: Means SURFACE is INSIDE PLASMA, so + # assign negative distance + pt_sign = jnp.where(jnp.isclose(pt_sign, 0), 1, -1) + return pt_sign From 22c882eaee1f015a71891eeeb79f043f60753a3b Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Sat, 6 Jul 2024 15:10:03 -0400 Subject: [PATCH 37/74] relabel radii in test --- tests/test_objective_funs.py | 15 ++++++++------- 1 file changed, 8 insertions(+), 7 deletions(-) diff --git a/tests/test_objective_funs.py b/tests/test_objective_funs.py index a6c6822e2b..94e63ba286 100644 --- a/tests/test_objective_funs.py +++ b/tests/test_objective_funs.py @@ -1157,9 +1157,10 @@ def test_signed_plasma_vessel_distance(self): _ = obj.compute_scaled(*obj.xs(eq, surface)) # For plasma outside surface, should get signed distance + a_s = 0.5 * a_p surface = FourierRZToroidalSurface( - R_lmn=[R0, a_p * 0.5], - Z_lmn=[-a_p * 0.5], + R_lmn=[R0, a_s], + Z_lmn=[-a_s], modes_R=[[0, 0], [1, 0]], modes_Z=[[-1, 0]], ) @@ -1174,7 +1175,7 @@ def test_signed_plasma_vessel_distance(self): obj.build() d = obj.compute_unscaled(*obj.xs(eq, surface)) assert obj.dim_f == d.size - np.testing.assert_allclose(d, -0.5 * a_p) + np.testing.assert_allclose(d, a_s - a_p) # ensure it works with different sized grids (poloidal resolution different) grid = LinearGrid(M=5, N=6) @@ -1188,8 +1189,8 @@ def test_signed_plasma_vessel_distance(self): obj.build() d = obj.compute_unscaled(*obj.xs(eq, surface)) assert obj.dim_f == d.size - assert abs(d.max() - (-0.5 * a_p)) < 1e-14 - assert abs(d.min() - (-0.5 * a_p)) < grid.spacing[0, 1] * a_p * 0.5 + assert abs(d.max() - (-a_s)) < 1e-14 + assert abs(d.min() - (-a_s)) < grid.spacing[0, 1] * a_s # ensure it works with different sized grids (poloidal resolution different) # and using softmin (with deprecated name alpha) @@ -1207,8 +1208,8 @@ def test_signed_plasma_vessel_distance(self): obj.build() d = obj.compute_unscaled(*obj.xs(eq, surface)) assert obj.dim_f == d.size - assert abs(d.max() - (-0.5 * a_p)) < 1e-14 - assert abs(d.min() - (-0.5 * a_p)) < grid.spacing[0, 1] * a_p * 0.5 + assert abs(d.max() - (-a_s)) < 1e-14 + assert abs(d.min() - (-a_s)) < grid.spacing[0, 1] * a_s @pytest.mark.regression From 3cb05acf3a556587803e6157e584d4bc3071db66 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Sat, 6 Jul 2024 16:01:12 -0400 Subject: [PATCH 38/74] add eq_fixed flag --- desc/objectives/_geometry.py | 91 +++++++++++++++++++++++++----------- tests/test_optimizer.py | 18 +++---- 2 files changed, 73 insertions(+), 36 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index dc3728cbaa..661add99c3 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -571,13 +571,13 @@ class PlasmaVesselDistance(_Objective): negative if outside of the bounding surface. NOTE: ``plasma_grid`` and ``surface_grid`` must have the same toroidal angle values for signed distance to be used. - surface_fixed: bool, optional - Whether the surface the distance from the plasma is computed to - is fixed or not. If True, the surface is fixed and its coordinates are - precomputed, which saves on computation time during optimization, and - self.things = [eq] only. - If False, the surface coordinates are computed at every iteration. + eq_fixed, surface_fixed: bool, optional + Whether the eq/surface is fixed or not. If True, the eq/surface is fixed + and its coordinates are precomputed, which saves on computation time during + optimization, and self.things = [surface]/[eq] only. + If False, the eq/surface coordinates are computed at every iteration. False by default, so that self.things = [eq, surface] + Both cannot be True. softmin_alpha: float, optional Parameter used for softmin. The larger softmin_alpha, the closer the softmin approximates the hardmin. softmin -> hardmin as softmin_alpha -> infinity. @@ -607,6 +607,7 @@ def __init__( surface_grid=None, plasma_grid=None, use_softmin=False, + eq_fixed=False, surface_fixed=False, softmin_alpha=1.0, name="plasma-vessel distance", @@ -621,14 +622,27 @@ def __init__( self._use_softmin = use_softmin self._use_signed_distance = use_signed_distance self._surface_fixed = surface_fixed + self._eq_fixed = eq_fixed + self._eq = eq + errorif( + eq_fixed and surface_fixed, ValueError, "Cannot fix both eq and surface" + ) + self._softmin_alpha = parse_argname_change( softmin_alpha, kwargs, "alpha", "softmin_alpha" ) - assert ( - len(kwargs) == 0 - ), f"PlasmaVesselDistance got unexpected keyword argument: {kwargs.keys()}" + errorif( + len(kwargs) != 0, + AssertionError, + f"PlasmaVesselDistance got unexpected keyword argument: {kwargs.keys()}", + ) + things = [] + if not eq_fixed: + things.append(eq) + if not surface_fixed: + things.append(surface) super().__init__( - things=[eq, self._surface] if not surface_fixed else [eq], + things=things, target=target, bounds=bounds, weight=weight, @@ -650,11 +664,15 @@ def build(self, use_jit=True, verbose=1): Level of output. """ - eq = self.things[0] - surface = self._surface if self._surface_fixed else self.things[1] - # if things[1] is different than self._surface, update self._surface - if surface != self._surface: - self._surface = surface + if self._eq_fixed: + eq = self._eq + surface = self.things[0] + elif self._surface_fixed: + eq = self.things[0] + surface = self._surface + else: + eq = self.things[0] + surface = self.things[1] if self._surface_grid is None: surface_grid = LinearGrid(M=eq.M_grid, N=eq.N_grid, NFP=eq.NFP) else: @@ -740,7 +758,15 @@ def build(self, use_jit=True, verbose=1): basis="xyz", ) self._constants["data_surf"] = data_surf - + elif self._eq_fixed: + data_eq = compute_fun( + self._eq, + self._equil_data_keys, + params=self._eq.params_dict, + transforms=equil_transforms, + profiles=equil_profiles, + ) + self._constants["data_equil"] = data_eq timer.stop("Precomputing transforms") if verbose > 1: timer.disp("Precomputing transforms") @@ -751,14 +777,15 @@ def build(self, use_jit=True, verbose=1): super().build(use_jit=use_jit, verbose=verbose) - def compute(self, equil_params, surface_params=None, constants=None): + def compute(self, params_1, params_2=None, constants=None): """Compute plasma-surface distance. Parameters ---------- - equil_params : dict - Dictionary of equilibrium degrees of freedom, eg Equilibrium.params_dict - surface_params : dict + params_1 : dict + Dictionary of equilibrium degrees of freedom, eg Equilibrium.params_dict, + if eq_fixed is False, else the surface degrees of freedom + params_2 : dict Dictionary of surface degrees of freedom, eg Surface.params_dict Only needed if self._surface_fixed = False constants : dict @@ -773,13 +800,23 @@ def compute(self, equil_params, surface_params=None, constants=None): """ if constants is None: constants = self.constants - data = compute_fun( - "desc.equilibrium.equilibrium.Equilibrium", - self._equil_data_keys, - params=equil_params, - transforms=constants["equil_transforms"], - profiles=constants["equil_profiles"], - ) + if self._eq_fixed: + surface_params = params_1 + elif self._surface_fixed: + equil_params = params_1 + else: + equil_params = params_1 + surface_params = params_2 + if not self._eq_fixed: + data = compute_fun( + "desc.equilibrium.equilibrium.Equilibrium", + self._equil_data_keys, + params=equil_params, + transforms=constants["equil_transforms"], + profiles=constants["equil_profiles"], + ) + else: + data = constants["data_equil"] plasma_coords_rpz = jnp.array([data["R"], data["phi"], data["Z"]]).T plasma_coords = rpz2xyz(plasma_coords_rpz) if self._surface_fixed: diff --git a/tests/test_optimizer.py b/tests/test_optimizer.py index 3a3c514088..c9c01d0d12 100644 --- a/tests/test_optimizer.py +++ b/tests/test_optimizer.py @@ -998,11 +998,10 @@ def test_signed_PlasmaVesselDistance(): eq = desc.examples.get("HELIOTRON") eq.change_resolution(M=2, N=2) - constraints = (FixParameters(eq),) # don't want eq to change surf = eq.surface.copy() surf.change_resolution(M=1, N=1) - grid = LinearGrid(M=10, N=2, NFP=eq.NFP) + grid = LinearGrid(M=10, N=4, NFP=eq.NFP) obj = PlasmaVesselDistance( surface=surf, eq=eq, @@ -1010,16 +1009,17 @@ def test_signed_PlasmaVesselDistance(): surface_grid=grid, plasma_grid=grid, use_signed_distance=True, + eq_fixed=True, ) objective = ObjectiveFunction((obj,)) optimizer = Optimizer("lsq-exact") - (eq, surf), _ = optimizer.optimize( - (eq, surf), objective, constraints, verbose=3, maxiter=60, ftol=1e-8, xtol=1e-9 + (surf,), _ = optimizer.optimize( + (surf,), objective, verbose=3, maxiter=60, ftol=1e-8, xtol=1e-9 ) np.testing.assert_allclose( - obj.compute(*obj.xs(eq, surf)), -0.25, atol=1e-2, err_msg="Using hardmin" + obj.compute(*obj.xs(surf)), -0.25, atol=1e-2, err_msg="Using hardmin" ) # with softmin @@ -1034,14 +1034,14 @@ def test_signed_PlasmaVesselDistance(): use_signed_distance=True, use_softmin=True, softmin_alpha=100, + eq_fixed=True, ) objective = ObjectiveFunction((obj,)) optimizer = Optimizer("lsq-exact") - (eq, surf), _ = optimizer.optimize( - (eq, surf), + (surf,), _ = optimizer.optimize( + (surf,), objective, - constraints, verbose=3, maxiter=60, ftol=1e-8, @@ -1049,7 +1049,7 @@ def test_signed_PlasmaVesselDistance(): ) np.testing.assert_allclose( - obj.compute(*obj.xs(eq, surf)), -0.25, atol=1e-2, err_msg="Using softmin" + obj.compute(*obj.xs(surf)), -0.25, atol=1e-2, err_msg="Using softmin" ) # with changing eq From 08fd594c2f6f9ca27e5a63c766da9ee42c169480 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Sat, 6 Jul 2024 16:32:29 -0400 Subject: [PATCH 39/74] change comments to be general --- desc/objectives/utils.py | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/desc/objectives/utils.py b/desc/objectives/utils.py index e0d2833514..23c7fae159 100644 --- a/desc/objectives/utils.py +++ b/desc/objectives/utils.py @@ -342,12 +342,12 @@ def check_if_points_are_inside_perimeter(R, Z, Rcheck, Zcheck): """ # R Z are the perimeter points - # Rcheck Zcheck are the surface points being checked for whether - # or not they are inside the plasma + # Rcheck Zcheck are the points being checked for whether + # or not they are inside the check Rbool = R[:, None] > Rcheck Zbool = Z[:, None] > Zcheck - # these are now size (Nplasma, Nsurf) + # these are now size (Ncheck, Nperimeter) quadrants = jnp.zeros_like(Rbool) quadrants = jnp.where(jnp.logical_and(jnp.logical_not(Rbool), Zbool), 1, quadrants) quadrants = jnp.where( @@ -369,11 +369,11 @@ def check_if_points_are_inside_perimeter(R, Z, Rcheck, Zcheck): deltas, ) pt_sign = jnp.sum(deltas, axis=0) - # positive distance if the plasma pt is inside the surface, else + # positive distance if the check pt is inside the perimeter, else # negative distance is assigned - # pt_sign = 0 : Means SURFACE is OUTSIDE of the PLASMA, + # pt_sign = 0 : Means point is OUTSIDE of the perimeter, # assign positive distance - # pt_sign = +/-4: Means SURFACE is INSIDE PLASMA, so + # pt_sign = +/-4: Means point is INSIDE perimeter, so # assign negative distance pt_sign = jnp.where(jnp.isclose(pt_sign, 0), 1, -1) return pt_sign From 18eae455b8b7ad85cd715b23d41a7e1955e8226f Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Sat, 6 Jul 2024 16:38:19 -0400 Subject: [PATCH 40/74] move test --- tests/test_examples.py | 92 +++++++++++++++++++++++++++++++++++++++++ tests/test_optimizer.py | 92 ----------------------------------------- 2 files changed, 92 insertions(+), 92 deletions(-) diff --git a/tests/test_examples.py b/tests/test_examples.py index a029d81dbf..47f5c3eb05 100644 --- a/tests/test_examples.py +++ b/tests/test_examples.py @@ -1527,3 +1527,95 @@ 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.slow +@pytest.mark.regression +@pytest.mark.optimize +def test_signed_PlasmaVesselDistance(): + """Tests that signed distance works with surface optimization.""" + eq = get("HELIOTRON") + eq.change_resolution(M=2, N=2) + + surf = eq.surface.copy() + surf.change_resolution(M=1, N=1) + + grid = LinearGrid(M=10, N=4, NFP=eq.NFP) + obj = PlasmaVesselDistance( + surface=surf, + eq=eq, + target=-0.25, + surface_grid=grid, + plasma_grid=grid, + use_signed_distance=True, + eq_fixed=True, + ) + objective = ObjectiveFunction((obj,)) + + optimizer = Optimizer("lsq-exact") + (surf,), _ = optimizer.optimize( + (surf,), objective, verbose=3, maxiter=60, ftol=1e-8, xtol=1e-9 + ) + + np.testing.assert_allclose( + obj.compute(*obj.xs(surf)), -0.25, atol=1e-2, err_msg="Using hardmin" + ) + + # with softmin + surf = eq.surface.copy() + surf.change_resolution(M=1, N=1) + obj = PlasmaVesselDistance( + surface=surf, + eq=eq, + target=-0.25, + surface_grid=grid, + plasma_grid=grid, + use_signed_distance=True, + use_softmin=True, + softmin_alpha=100, + eq_fixed=True, + ) + objective = ObjectiveFunction((obj,)) + + optimizer = Optimizer("lsq-exact") + (surf,), _ = optimizer.optimize( + (surf,), + objective, + verbose=3, + maxiter=60, + ftol=1e-8, + xtol=1e-9, + ) + + np.testing.assert_allclose( + obj.compute(*obj.xs(surf)), -0.25, atol=1e-2, err_msg="Using softmin" + ) + + # with changing eq + eq = Equilibrium(M=1, N=1) + surf = eq.surface.copy() + surf.change_resolution(M=1, N=1) + grid = LinearGrid(M=10, N=2, NFP=eq.NFP) + + obj = PlasmaVesselDistance( + surface=surf, + eq=eq, + target=-0.25, + surface_grid=grid, + plasma_grid=grid, + use_signed_distance=True, + ) + objective = ObjectiveFunction((obj,)) + + optimizer = Optimizer("lsq-exact") + (eq, surf), _ = optimizer.optimize( + (eq, surf), + objective, + constraints=(FixParameters(surf),), + verbose=3, + maxiter=60, + ftol=1e-8, + xtol=1e-9, + ) + + np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), -0.25, atol=1e-2) diff --git a/tests/test_optimizer.py b/tests/test_optimizer.py index c9c01d0d12..7c5f810d98 100644 --- a/tests/test_optimizer.py +++ b/tests/test_optimizer.py @@ -990,98 +990,6 @@ def test_constrained_AL_scalar(): np.testing.assert_array_less(-Dwell, ctol) -@pytest.mark.slow -@pytest.mark.regression -@pytest.mark.optimize -def test_signed_PlasmaVesselDistance(): - """Tests that signed distance works with surface optimization.""" - eq = desc.examples.get("HELIOTRON") - eq.change_resolution(M=2, N=2) - - surf = eq.surface.copy() - surf.change_resolution(M=1, N=1) - - grid = LinearGrid(M=10, N=4, NFP=eq.NFP) - obj = PlasmaVesselDistance( - surface=surf, - eq=eq, - target=-0.25, - surface_grid=grid, - plasma_grid=grid, - use_signed_distance=True, - eq_fixed=True, - ) - objective = ObjectiveFunction((obj,)) - - optimizer = Optimizer("lsq-exact") - (surf,), _ = optimizer.optimize( - (surf,), objective, verbose=3, maxiter=60, ftol=1e-8, xtol=1e-9 - ) - - np.testing.assert_allclose( - obj.compute(*obj.xs(surf)), -0.25, atol=1e-2, err_msg="Using hardmin" - ) - - # with softmin - surf = eq.surface.copy() - surf.change_resolution(M=1, N=1) - obj = PlasmaVesselDistance( - surface=surf, - eq=eq, - target=-0.25, - surface_grid=grid, - plasma_grid=grid, - use_signed_distance=True, - use_softmin=True, - softmin_alpha=100, - eq_fixed=True, - ) - objective = ObjectiveFunction((obj,)) - - optimizer = Optimizer("lsq-exact") - (surf,), _ = optimizer.optimize( - (surf,), - objective, - verbose=3, - maxiter=60, - ftol=1e-8, - xtol=1e-9, - ) - - np.testing.assert_allclose( - obj.compute(*obj.xs(surf)), -0.25, atol=1e-2, err_msg="Using softmin" - ) - - # with changing eq - eq = Equilibrium(M=1, N=1) - surf = eq.surface.copy() - surf.change_resolution(M=1, N=1) - grid = LinearGrid(M=10, N=2, NFP=eq.NFP) - - obj = PlasmaVesselDistance( - surface=surf, - eq=eq, - target=-0.25, - surface_grid=grid, - plasma_grid=grid, - use_signed_distance=True, - ) - objective = ObjectiveFunction((obj,)) - - optimizer = Optimizer("lsq-exact") - (eq, surf), _ = optimizer.optimize( - (eq, surf), - objective, - constraints=(FixParameters(surf),), - verbose=3, - maxiter=60, - ftol=1e-8, - xtol=1e-9, - ) - - np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), -0.25, atol=1e-2) - - @pytest.mark.unit @pytest.mark.optimize def test_optimize_multiple_things_different_order(): From 34b778c4bcd361ccfbb71461acb113d3ab6ce696 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Sat, 6 Jul 2024 16:42:30 -0400 Subject: [PATCH 41/74] relabel target in test --- tests/test_examples.py | 14 ++++++++------ 1 file changed, 8 insertions(+), 6 deletions(-) diff --git a/tests/test_examples.py b/tests/test_examples.py index 47f5c3eb05..a3921dda6c 100644 --- a/tests/test_examples.py +++ b/tests/test_examples.py @@ -1540,11 +1540,13 @@ def test_signed_PlasmaVesselDistance(): surf = eq.surface.copy() surf.change_resolution(M=1, N=1) + target_dist = -0.25 + grid = LinearGrid(M=10, N=4, NFP=eq.NFP) obj = PlasmaVesselDistance( surface=surf, eq=eq, - target=-0.25, + target=target_dist, surface_grid=grid, plasma_grid=grid, use_signed_distance=True, @@ -1558,7 +1560,7 @@ def test_signed_PlasmaVesselDistance(): ) np.testing.assert_allclose( - obj.compute(*obj.xs(surf)), -0.25, atol=1e-2, err_msg="Using hardmin" + obj.compute(*obj.xs(surf)), target_dist, atol=1e-2, err_msg="Using hardmin" ) # with softmin @@ -1567,7 +1569,7 @@ def test_signed_PlasmaVesselDistance(): obj = PlasmaVesselDistance( surface=surf, eq=eq, - target=-0.25, + target=target_dist, surface_grid=grid, plasma_grid=grid, use_signed_distance=True, @@ -1588,7 +1590,7 @@ def test_signed_PlasmaVesselDistance(): ) np.testing.assert_allclose( - obj.compute(*obj.xs(surf)), -0.25, atol=1e-2, err_msg="Using softmin" + obj.compute(*obj.xs(surf)), target_dist, atol=1e-2, err_msg="Using softmin" ) # with changing eq @@ -1600,7 +1602,7 @@ def test_signed_PlasmaVesselDistance(): obj = PlasmaVesselDistance( surface=surf, eq=eq, - target=-0.25, + target=target_dist, surface_grid=grid, plasma_grid=grid, use_signed_distance=True, @@ -1618,4 +1620,4 @@ def test_signed_PlasmaVesselDistance(): xtol=1e-9, ) - np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), -0.25, atol=1e-2) + np.testing.assert_allclose(obj.compute(*obj.xs(eq, surf)), target_dist, atol=1e-2) From 3b1783633b6b106ebb82f53ed2edd09489acce48 Mon Sep 17 00:00:00 2001 From: unalmis Date: Sun, 7 Jul 2024 21:00:30 -0500 Subject: [PATCH 42/74] Fix test and improve descriptions of new quantities --- desc/compute/_basis_vectors.py | 70 +++++++++++++++++----------------- desc/compute/_field.py | 2 - tests/test_compute_funs.py | 6 +-- 3 files changed, 38 insertions(+), 40 deletions(-) diff --git a/desc/compute/_basis_vectors.py b/desc/compute/_basis_vectors.py index 0ff9eb5022..016055cf08 100644 --- a/desc/compute/_basis_vectors.py +++ b/desc/compute/_basis_vectors.py @@ -38,7 +38,7 @@ def _b(params, transforms, profiles, data, **kwargs): @register_compute_fun( - name="e^rho", # ∇ρ is the same in DESC and field line coordinates. + name="e^rho", # ∇ρ is the same in (ρ,θ,ζ) and (ρ,α,ζ) coordinates. label="\\mathbf{e}^{\\rho}", units="m^{-1}", units_long="inverse meters", @@ -1007,7 +1007,7 @@ def _e_sup_theta_zz(params, transforms, profiles, data, **kwargs): @register_compute_fun( - name="e^zeta", # ∇ζ is the same in DESC and field line coordinates. + name="e^zeta", # ∇ζ is the same in (ρ,θ,ζ) and (ρ,α,ζ) coordinates. label="\\mathbf{e}^{\\zeta}", units="m^{-1}", units_long="inverse meters", @@ -3568,7 +3568,9 @@ def _e_sub_theta_rp(params, transforms, profiles, data, **kwargs): ) def _e_rho_az(params, transforms, profiles, data, **kwargs): # constant α and ζ - data["e_rho|a,z"] = data["e_rho"] - (data["e_alpha"].T * data["alpha_r"]).T + data["e_rho|a,z"] = ( + data["e_rho"] - data["e_alpha"] * data["alpha_r"][:, jnp.newaxis] + ) return data @@ -3587,7 +3589,7 @@ def _e_rho_az(params, transforms, profiles, data, **kwargs): ) def _e_alpha(params, transforms, profiles, data, **kwargs): # constant ρ and ζ - data["e_alpha"] = (data["e_theta"].T / data["alpha_t"]).T + data["e_alpha"] = data["e_theta"] / data["alpha_t"][:, jnp.newaxis] return data @@ -3607,9 +3609,9 @@ def _e_alpha(params, transforms, profiles, data, **kwargs): ) def _e_alpha_t(params, transforms, profiles, data, **kwargs): data["e_alpha_t"] = ( - (data["e_theta_t"].T * data["alpha_t"] + data["e_theta"].T * data["alpha_tt"]) - / data["alpha_t"] ** 2 - ).T + data["e_theta_t"] / data["alpha_t"][:, jnp.newaxis] + - data["e_theta"] * (data["alpha_tt"] / data["alpha_t"] ** 2)[:, jnp.newaxis] + ) return data @@ -3618,7 +3620,8 @@ def _e_alpha_t(params, transforms, profiles, data, **kwargs): label="\\partial_{\\zeta} \\mathbf{e}_{\\alpha}", units="m", units_long="meters", - description="Tangent vector along poloidal field line label, toroidal derivative", + description="Tangent vector along poloidal field line label, " + "derivative wrt DESC toroidal angle", dim=3, params=[], transforms={}, @@ -3628,9 +3631,9 @@ def _e_alpha_t(params, transforms, profiles, data, **kwargs): ) def _e_alpha_z(params, transforms, profiles, data, **kwargs): data["e_alpha_z"] = ( - (data["e_theta_z"].T * data["alpha_t"] - data["e_theta"].T * data["alpha_tz"]) - / data["alpha_t"] ** 2 - ).T + data["e_theta_z"] / data["alpha_t"][:, jnp.newaxis] + - data["e_theta"] * (data["alpha_tz"] / data["alpha_t"] ** 2)[:, jnp.newaxis] + ) return data @@ -3649,9 +3652,9 @@ def _e_alpha_z(params, transforms, profiles, data, **kwargs): data=["e_zeta", "e_alpha", "alpha_z"], ) def _e_zeta_ra(params, transforms, profiles, data, **kwargs): - # ∂ℓ/∂ζ (constant ρ and α) = ∂ℓ/∂ζ (constant ρ and θ) - # - ∂ℓ/∂α (constant ρ and ζ) * ∂α/∂ζ (constant ρ and θ) - data["e_zeta|r,a"] = data["e_zeta"] - (data["e_alpha"].T * data["alpha_z"]).T + data["e_zeta|r,a"] = ( + data["e_zeta"] - data["e_alpha"] * data["alpha_z"][:, jnp.newaxis] + ) return data @@ -3660,7 +3663,8 @@ def _e_zeta_ra(params, transforms, profiles, data, **kwargs): label="\\partial_{\\theta} (\\mathbf{e}_{\\zeta} |_{\\rho, \\alpha})", units="m", units_long="meters", - description="Tangent vector along (collinear to) field line, poloidal derivative", + description="Tangent vector along (collinear to) field line, " + "derivative wrt DESC poloidal angle", dim=3, params=[], transforms={}, @@ -3669,11 +3673,9 @@ def _e_zeta_ra(params, transforms, profiles, data, **kwargs): data=["e_zeta_t", "e_alpha", "alpha_z", "e_alpha_t", "alpha_tz"], ) def _e_zeta_ra_t(params, transforms, profiles, data, **kwargs): - data["(e_zeta|r,a)_t"] = ( - data["e_zeta_t"] - - ( - data["e_alpha_t"].T * data["alpha_z"] + data["e_alpha"].T * data["alpha_tz"] - ).T + data["(e_zeta|r,a)_t"] = data["e_zeta_t"] - ( + data["e_alpha_t"] * data["alpha_z"][:, jnp.newaxis] + + data["e_alpha"] * data["alpha_tz"][:, jnp.newaxis] ) return data @@ -3693,7 +3695,7 @@ def _e_zeta_ra_t(params, transforms, profiles, data, **kwargs): data=["(e_zeta|r,a)_t", "alpha_t"], ) def _e_zeta_ra_a(params, transforms, profiles, data, **kwargs): - data["(e_zeta|r,a)_a"] = (data["(e_zeta|r,a)_t"].T / data["alpha_t"]).T + data["(e_zeta|r,a)_a"] = data["(e_zeta|r,a)_t"] / data["alpha_t"][:, jnp.newaxis] return data @@ -3702,7 +3704,8 @@ def _e_zeta_ra_a(params, transforms, profiles, data, **kwargs): label="\\partial_{\\zeta} (\\mathbf{e}_{\\zeta} |_{\\rho, \\alpha})", units="m", units_long="meters", - description="Tangent vector along (collinear to) field line, toroidal derivative", + description="Tangent vector along (collinear to) field line, " + "derivative wrt DESC toroidal angle", dim=3, params=[], transforms={}, @@ -3711,17 +3714,15 @@ def _e_zeta_ra_a(params, transforms, profiles, data, **kwargs): data=["e_zeta_z", "e_alpha", "alpha_z", "e_alpha_z", "alpha_zz"], ) def _e_zeta_ra_z(params, transforms, profiles, data, **kwargs): - data["(e_zeta|r,a)_z"] = ( - data["e_zeta_z"] - - ( - data["e_alpha_z"].T * data["alpha_z"] + data["e_alpha"].T * data["alpha_zz"] - ).T + data["(e_zeta|r,a)_z"] = data["e_zeta_z"] - ( + data["e_alpha_z"] * data["alpha_z"][:, jnp.newaxis] + + data["e_alpha"] * data["alpha_zz"][:, jnp.newaxis] ) return data @register_compute_fun( - name="(e_zeta_z)|r,a", + name="(e_zeta|r,a)_z|r,a", label="\\partial_{\\zeta} (\\mathbf{e}_{\\zeta} |_{\\rho, \\alpha}) " "|_{\\rho, \\alpha}", units="m", @@ -3735,8 +3736,9 @@ def _e_zeta_ra_z(params, transforms, profiles, data, **kwargs): data=["(e_zeta|r,a)_z", "(e_zeta|r,a)_a", "alpha_z"], ) def _e_zeta_z_ra(params, transforms, profiles, data, **kwargs): - data["(e_zeta_z)|r,a"] = ( - data["(e_zeta|r,a)_z"] - (data["(e_zeta|r,a)_a"].T * data["alpha_z"]).T + data["(e_zeta|r,a)_z|r,a"] = ( + data["(e_zeta|r,a)_z"] + - data["(e_zeta|r,a)_a"] * data["alpha_z"][:, jnp.newaxis] ) return data @@ -3761,7 +3763,7 @@ def _d_ell_d_zeta(params, transforms, profiles, data, **kwargs): @register_compute_fun( - name="(|e_zeta|_z)|r,a", + name="|e_zeta|r,a|_z|r,a", label="\\partial_{\\zeta} |\\mathbf{e}_{\\zeta} |_{\\rho, \\alpha}| " "|_{\\rho, \\alpha}", units="m", @@ -3772,10 +3774,10 @@ def _d_ell_d_zeta(params, transforms, profiles, data, **kwargs): transforms={}, profiles=[], coordinates="rtz", - data=["|e_zeta|r,a|", "(e_zeta_z)|r,a", "e_zeta|r,a"], + data=["|e_zeta|r,a|", "(e_zeta|r,a)_z|r,a", "e_zeta|r,a"], ) def _d_ell_d_zeta_z(params, transforms, profiles, data, **kwargs): - data["(|e_zeta|_z)|r,a"] = ( - dot(data["(e_zeta_z)|r,a"], data["e_zeta|r,a"]) / data["|e_zeta|r,a|"] + data["|e_zeta|r,a|_z|r,a"] = ( + dot(data["(e_zeta|r,a)_z|r,a"], data["e_zeta|r,a"]) / data["|e_zeta|r,a|"] ) return data diff --git a/desc/compute/_field.py b/desc/compute/_field.py index 53f5b99c2f..fd1e2dd421 100644 --- a/desc/compute/_field.py +++ b/desc/compute/_field.py @@ -2371,8 +2371,6 @@ def _B_mag_alpha(params, transforms, profiles, data, **kwargs): data=["|B|_z", "|B|_a", "alpha_z"], ) def _B_mag_z_constant_rho_alpha(params, transforms, profiles, data, **kwargs): - # ∂|B|/∂ζ (constant ρ and α) = ∂|B|/∂ζ (constant ρ and θ) - # - ∂|B|/∂α (constant ρ and ζ) * ∂α/∂ζ (constant ρ and θ) data["|B|_z|r,a"] = data["|B|_z"] - data["|B|_a"] * data["alpha_z"] return data diff --git a/tests/test_compute_funs.py b/tests/test_compute_funs.py index 5486ed948b..d7866b3b1d 100644 --- a/tests/test_compute_funs.py +++ b/tests/test_compute_funs.py @@ -1686,7 +1686,6 @@ def test_surface_equilibrium_geometry(): ) -@pytest.mark.xfail(reason="Cause of bug not yet known.") @pytest.mark.unit def test_parallel_grad(): """Test geometric and physical methods of computing parallel gradients agree.""" @@ -1700,7 +1699,7 @@ def test_parallel_grad(): "B^zeta", "|B|_z|r,a", "grad(|B|)", - "(|e_zeta|_z)|r,a", + "|e_zeta|r,a|_z|r,a", "B^zeta_z|r,a", "|B|", ], @@ -1709,9 +1708,8 @@ def test_parallel_grad(): np.testing.assert_allclose( data["|B|_z|r,a"], dot(data["grad(|B|)"], data["e_zeta|r,a"]) ) - # FIXME: Don't know why below test fails. np.testing.assert_allclose( - data["(|e_zeta|_z)|r,a"], + data["|e_zeta|r,a|_z|r,a"], data["|B|_z|r,a"] / np.abs(data["B^zeta"]) - data["|B|"] * data["B^zeta_z|r,a"] From f53c8fa27a332b136c85da075d3d260e1eb30a23 Mon Sep 17 00:00:00 2001 From: unalmis Date: Sun, 7 Jul 2024 21:08:25 -0500 Subject: [PATCH 43/74] Update compute data for new quantities --- tests/inputs/master_compute_data.pkl | Bin 8012490 -> 8012493 bytes 1 file changed, 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zjH74(%Z)~fX4NgB`#6z39Cq7dkx72?3uMl$=&$%+pjr;iU z;WqE=@^D+)s);8oW@|6h5)Qs3&@P@cJfKa=5YR4WrFU++QlPDJI60*Ip41^>Y)TCU zW7AF0VZm!^`kRE;-}-x@WFdmrlp=UdDT3FOB6v+Hg4e}!uJT@}-oP*cw)7@Rmq)M_ zBa%#)Q3oJwsW>5QqtnYkY^fSSY-6y)!`MI{BZghEoz4NlpFwC_s!C{EsCE@sNc9GWeuY%hfWqFws(RQv>(rJR2&TXO4youW zVBV{|>>bj9h}$&dK*TNSM2K7HG?(8t9o|J!q2jmqA}OtZg5Z>jfZ!xCAo#$Gq&P6^ zBB=o4RGxr1`rkJJ#3#rXK>xb%_mV5RV)~7O@JttM|8Q%}{{s+ym3L7U9`B{knAC1~ zzd^%WTK8|*%1&+5@FJ}BitsVzG0ejY%k*8-e={tNx20cSVAMawVxHD+k4GfG@v1*7r0w1Zx*`G3`}to7>jI&c3NV7G?kEG^-H9LK~v& zuSz0buN$Tv)7)%ix3XG?Ks#Z=cYf z!<)6GXSFo;*h%eoHo;${z|Pa!Pw~YPKbTE{WoNV(@Wyp0A)LY(s*FLZ*Yt5R~3>7*j zOX_qL|HNz6iyx1E$!l#jYc&Y*<6rSIyZDcB;O*61P=67}vR4w^(T@V_tHa%~;XfE= zinfIxH7tZ_Hyp5qw;Okld)(n@c;*;>bXZ{zuh(rg7G91CkA^-6Rulw}5bSY=ci1|) z)%-%RWJGv}y;HXu)^Wp`5#dLaPICY{&qK}qcw~5olto{Djs>m&TkZ<~EjJy0G&z=` zq~4}{VYWe^73u|_8Wr9o=h3%?dS14NH$var>XNQ#UV8K*WBTaZLXih?fMaeL!^cb? z-O`xd;E4(U9U7J^!iV^bWK*^}Hf*yg38rF}8~((wFS=x;2ioJqIHQ?n9eVeELvkM7 zAv?!~b%*SXbi=a5uLn=3LvE_rh zYeuI5TInQtBP;xta>n$MgS`6hCBZ7dKGIm*^zdvuIw}8gC^wvAR}vN*o>eW1 zteX)ju48TaT)TRaopvkF&Ngc`2=Sx0@rHLnM?v_H=zI7`fp_QOKqQMCm>-_-f3kEY AVE_OC From 49b19e1c0b5d2e40b75201061d8a6d9710b56b8b Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Mon, 8 Jul 2024 09:50:23 -0400 Subject: [PATCH 44/74] fix typo in docstring, remove todo --- desc/objectives/utils.py | 9 +++++++-- 1 file changed, 7 insertions(+), 2 deletions(-) diff --git a/desc/objectives/utils.py b/desc/objectives/utils.py index 23c7fae159..e7349bb275 100644 --- a/desc/objectives/utils.py +++ b/desc/objectives/utils.py @@ -309,16 +309,21 @@ def _parse_callable_target_bounds(target, bounds, x): return target, bounds -# TODO: dont need to be R,Z, can by x1, x2 or something def check_if_points_are_inside_perimeter(R, Z, Rcheck, Zcheck): """Function to check if the given points is inside the given polyognal perimeter. Rcheck, Zcheck are the points to check, and R, Z define the perimeter in which to check. This function assumes that all points are in the same - plane. Function will return an array pf signs (+/- 1), with positive sign meaning + plane. Function will return an array of signs (+/- 1), with positive sign meaning the point is inside of the given perimeter, and a negative sign meaning the point is outside of the given perimeter. + NOTE: it does not matter if the input coordinates are cylindrical (R,Z) or + cartesian (X,Y), these are equivalent as long as they are in the same phi plane. + This function will work even if points are not in the same phi plane, but the + input coordinates must then be the equivalent of cartesian coordinates for whatever + plane the points lie in. + Algorithm based off of "An Incremental Angle Point in Polygon Test", K. Weiler, https://doi.org/10.1016/B978-0-12-336156-1.50012-4 From 99029a9a42c9b50e2de8948d101b934d8834c8fa Mon Sep 17 00:00:00 2001 From: unalmis Date: Thu, 11 Jul 2024 17:26:29 -0400 Subject: [PATCH 45/74] Trying to fix merge conflicts 2 --- desc/compute/_basis_vectors.py | 4 ++-- tests/inputs/master_compute_data_xyz.pkl | Bin 7718930 -> 7937192 bytes 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/desc/compute/_basis_vectors.py b/desc/compute/_basis_vectors.py index 366c106541..d4acb6270e 100644 --- a/desc/compute/_basis_vectors.py +++ b/desc/compute/_basis_vectors.py @@ -3556,7 +3556,7 @@ def _e_zeta_z_ra(params, transforms, profiles, data, **kwargs): units="m", units_long="meters", description="Differential length along field line", - dim=3, + dim=1, params=[], transforms={}, profiles=[], @@ -3575,7 +3575,7 @@ def _d_ell_d_zeta(params, transforms, profiles, data, **kwargs): units="m", units_long="meters", description="Differential length along field line, derivative along field line", - dim=3, + dim=1, params=[], transforms={}, profiles=[], diff --git a/tests/inputs/master_compute_data_xyz.pkl b/tests/inputs/master_compute_data_xyz.pkl index 41faf549882321c2449dde4ac15d9de39f7f692f..26339c7ce44474c95e748fc7eeee8763b5be55cc 100644 GIT binary patch delta 270442 zcmcF}cRbeL`@g++w(MjSNl9fKNqeAB$*L&QA|pySEhQ?%t?UL3LdI?7viG=e^S;g7 z9?>q9@O#l)!@K(Q`#e71e;oHY*SXGhuIF`K=Q`JU1>R_;e~{Tre?yy&)-*u>0ZY-% zMhSk3rf$GHrJ&{X>OtM~OYq7<>?}d0w01%9bSyy{bSNm5PMbr;#rfurn|@5Ytn^L< z1<;BG3Dfh_>ITs>Ze{srh!!7kn~fh&jJIG4TFx+UX0|CKqE!hxL8rxLclav<+Ff`f zZn}A2$x7+Pg09f6V7L2+1*_JXpnZ%|L5~^uS!cQK{DFQYwypt#8s`tfI3EwnKlgQ2 z0q>eEPY&k>uDR)a)AOc+o#+)iF+1I$1N3^dn}YHf^jJ526@mT)UV0b9juawe5^YK} zb3Gp+T!*%mKSe=5Niik+Tnj&bY9$?0%8n&X{3+z4J^U%bco#e7;88AG8X6k>8V3t( zxo5`OY5Qqc>k!;_(q<|WlJ?Uz^Al|R=*av8)pFT~ZxC|Sl3s%7^bJGbCrZ&*;+ezq&#blsoHnqYV9%Pgw6cK4t_z7DNGPdy( zXm2p)DiTP1j2Pd%7xYd1be=Z}8QHXL{EUa`=xAsNj(ymYcxNp}5yE;s1`0nR*qRCZ ztDZ!kq)707g!M4Y&>d1{=;SBF&@;61b53`B)d!=oEk4tD=*v+Qb&g_uRJ`?u|%pvC

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FourierPlanarCurve, @@ -22,7 +22,7 @@ FourierCurrentPotentialField, OmnigenousField, ) -from desc.utils import ResolutionWarning +from desc.utils import ResolutionWarning, errorif def _compare_against_master( @@ -48,6 +48,34 @@ def _compare_against_master( return error, update_master_data +def _xyz_to_rpz(data, name): + if name in ["x", "center"]: + res = xyz2rpz(data[name]) + else: + res = xyz2rpz_vec(data[name], phi=data["phi"]) + return res + + +def _compare_against_rpz(p, data, data_rpz, coordinate_conversion_func): + for name in data: + if data_index[p][name]["dim"] != 3: + continue + res = coordinate_conversion_func(data, name) - data_rpz[name] + errorif( + not np.all( + ( + np.isclose(res, 0, rtol=1e-8, atol=1e-8) + | np.isclose(np.abs(res[:, 1]), 2 * np.pi, rtol=1e-8, atol=1e-8)[ + :, np.newaxis + ] + ) + | (~np.isfinite(data_rpz[name])) + ), + AssertionError, + msg=f"Parameterization: {p}. Name: {name}. Residual {res}", + ) + + @pytest.mark.unit def test_compute_everything(): """Test that the computations on this branch agree with those on master. @@ -160,14 +188,9 @@ def test_compute_everything(): with open("tests/inputs/master_compute_data_rpz.pkl", "rb") as file: master_data_rpz = pickle.load(file) - with open("tests/inputs/master_compute_data_xyz.pkl", "rb") as file: - master_data_xyz = pickle.load(file) this_branch_data_rpz = {} - this_branch_data_xyz = {} update_master_data_rpz = False - update_master_data_xyz = False error_rpz = False - error_xyz = False # some things can't compute "phi" and therefore can't convert to XYZ basis no_xyz_things = ["desc.magnetic_fields._core.OmnigenousField"] @@ -210,20 +233,15 @@ def test_compute_everything(): if "grad(B)" in names else names ) - - this_branch_data_xyz[p] = things[p].compute( + this_branch_data_xyz = things[p].compute( list(names_xyz), **grid.get(p, {}), basis="xyz" ) - assert this_branch_data_xyz[p].keys() == names_xyz, ( + assert this_branch_data_xyz.keys() == names_xyz, ( f"Parameterization: {p}. Can't compute " - + f"{names_xyz - this_branch_data_xyz[p].keys()}." + + f"{names_xyz - this_branch_data_xyz.keys()}." ) - error_xyz, update_master_data_xyz = _compare_against_master( - p, - this_branch_data_xyz, - master_data_xyz, - error_xyz, - update_master_data_xyz, + _compare_against_rpz( + p, this_branch_data_xyz, this_branch_data_rpz[p], _xyz_to_rpz ) if not error_rpz and update_master_data_rpz: @@ -231,8 +249,4 @@ def test_compute_everything(): with open("tests/inputs/master_compute_data_rpz.pkl", "wb") as file: # remember to git commit this file pickle.dump(this_branch_data_rpz, file) - if not error_xyz and update_master_data_xyz: - with open("tests/inputs/master_compute_data_xyz.pkl", "wb") as file: - pickle.dump(this_branch_data_xyz, file) assert not error_rpz - assert not error_xyz From c53a13495282f189a9270904f5e0d16563d6f1c5 Mon Sep 17 00:00:00 2001 From: daniel-dudt Date: Thu, 8 Aug 2024 11:07:45 -0600 Subject: [PATCH 62/74] fix bug in plot_boozer_surface for OmnigenousField --- desc/plotting.py | 26 +++++++++----------------- 1 file changed, 9 insertions(+), 17 deletions(-) diff --git a/desc/plotting.py b/desc/plotting.py index 551e4fe469..79e4344274 100644 --- a/desc/plotting.py +++ b/desc/plotting.py @@ -2756,22 +2756,14 @@ def plot_boozer_surface( # default grids if grid_compute is None: - if eq_switch: - grid_kwargs = { - "rho": rho, - "M": 4 * thing.M, - "N": 4 * thing.N, - "NFP": thing.NFP, - "endpoint": False, - } - else: - grid_kwargs = { - "rho": rho, - "M": 50, - "N": 50, - "NFP": thing.NFP, - "endpoint": False, - } + # grid_compute only used for Equilibrium, not OmnigenousField + grid_kwargs = { + "rho": rho, + "M": 4 * getattr(thing, "M", 1), + "N": 4 * getattr(thing, "N", 1), + "NFP": thing.NFP, + "endpoint": False, + } grid_compute = _get_grid(**grid_kwargs) if grid_plot is None: grid_kwargs = { @@ -2816,7 +2808,7 @@ def plot_boozer_surface( warnings.simplefilter("ignore") data = thing.compute( ["theta_B", "zeta_B", "|B|"], - grid=grid_compute, + grid=grid_plot, helicity=thing.helicity, iota=iota, ) From 85f28a90c26642e0745492da8dbf362b65e97f46 Mon Sep 17 00:00:00 2001 From: unalmis Date: Thu, 8 Aug 2024 14:09:24 -0400 Subject: [PATCH 63/74] Fix bug in boozer coordinate computation for Omnigenous magnetic field --- desc/compute/_omnigenity.py | 51 +++++++++++++++++++++++++++++++++++-- 1 file changed, 49 insertions(+), 2 deletions(-) diff --git a/desc/compute/_omnigenity.py b/desc/compute/_omnigenity.py index 469beae364..25b720dc9f 100644 --- a/desc/compute/_omnigenity.py +++ b/desc/compute/_omnigenity.py @@ -439,12 +439,59 @@ def _omni_angle(params, transforms, profiles, data, **kwargs): profiles=[], coordinates="rtz", data=["alpha", "h"], - aliases=["zeta_B"], parameterization="desc.magnetic_fields._core.OmnigenousField", helicity="tuple: Type of quasisymmetry, (M,N). Default (1,0)", iota="float: Value of rotational transform on the Omnigenous surface. Default 1.0", ) -def _omni_map(params, transforms, profiles, data, **kwargs): +def _omni_map_theta_B(params, transforms, profiles, data, **kwargs): + M, N = kwargs.get("helicity", (1, 0)) + iota = kwargs.get("iota", 1) + + # coordinate mapping matrix from (alpha,h) to (theta_B,zeta_B) + # need a bunch of wheres to avoid division by zero causing NaN in backward pass + # this is fine since the incorrect values get ignored later, except in OT or OH + # where fieldlines are exactly parallel to |B| contours, but this is a degenerate + # case of measure 0 so this kludge shouldn't affect things too much. + mat_OP = jnp.array( + [[N, iota / jnp.where(N == 0, 1, N)], [0, 1 / jnp.where(N == 0, 1, N)]] + ) + mat_OT = jnp.array([[0, -1], [M, -1 / jnp.where(iota == 0, 1.0, iota)]]) + den = jnp.where((N - M * iota) == 0, 1.0, (N - M * iota)) + mat_OH = jnp.array([[N, M * iota / den], [M, M / den]]) + matrix = jnp.where( + M == 0, + mat_OP, + jnp.where( + N == 0, + mat_OT, + mat_OH, + ), + ) + + # solve for (theta_B,zeta_B) corresponding to (eta,alpha) + booz = matrix @ jnp.vstack((data["alpha"], data["h"])) + data["theta_B"] = booz[0, :] + data["zeta_B"] = booz[1, :] + return data + + +@register_compute_fun( + name="zeta_B", + label="(\\theta_{B},\\zeta_{B})", + units="rad", + units_long="radians", + description="Boozer angular coordinates", + dim=1, + params=[], + transforms={}, + profiles=[], + coordinates="rtz", + data=["alpha", "h"], + parameterization="desc.magnetic_fields._core.OmnigenousField", + helicity="tuple: Type of quasisymmetry, (M,N). Default (1,0)", + iota="float: Value of rotational transform on the Omnigenous surface. Default 1.0", +) +def _omni_map_zeta_B(params, transforms, profiles, data, **kwargs): M, N = kwargs.get("helicity", (1, 0)) iota = kwargs.get("iota", 1) From 350dc92a78e4eff86b435516f6f5410c0afd36e8 Mon Sep 17 00:00:00 2001 From: unalmis Date: Thu, 8 Aug 2024 18:58:24 -0400 Subject: [PATCH 64/74] Compactify coordinate mapping API --- desc/compute/utils.py | 34 ++-- desc/equilibrium/coords.py | 287 ++++++++++++++++++++------------ desc/equilibrium/equilibrium.py | 140 ++++------------ desc/utils.py | 4 +- desc/vmec.py | 2 +- tests/test_equilibrium.py | 17 +- tests/test_plotting.py | 2 +- tests/utils.py | 2 +- 8 files changed, 247 insertions(+), 241 deletions(-) diff --git a/desc/compute/utils.py b/desc/compute/utils.py index 4567637be3..92c41a000f 100644 --- a/desc/compute/utils.py +++ b/desc/compute/utils.py @@ -4,7 +4,6 @@ import inspect import numpy as np -from termcolor import colored from desc.backend import cond, execute_on_cpu, fori_loop, jnp, put from desc.grid import ConcentricGrid, Grid, LinearGrid @@ -43,7 +42,7 @@ def compute(parameterization, names, params, transforms, profiles, data=None, ** Type of object to compute for, eg Equilibrium, Curve, etc. names : str or array-like of str Name(s) of the quantity(s) to compute. - params : dict of ndarray + params : dict[str, jnp.ndarray] Parameters from the equilibrium, such as R_lmn, Z_lmn, i_l, p_l, etc. Defaults to attributes of self. transforms : dict of Transform @@ -51,7 +50,7 @@ def compute(parameterization, names, params, transforms, profiles, data=None, ** profiles : dict of Profile Profile objects for pressure, iota, current, etc. Defaults to attributes of self - data : dict of ndarray + data : dict[str, jnp.ndarray] Data computed so far, generally output from other compute functions. Any vector v = v¹ R̂ + v² ϕ̂ + v³ Ẑ should be given in components v = [v¹, v², v³] where R̂, ϕ̂, Ẑ are the normalized basis vectors @@ -212,7 +211,7 @@ def get_data_deps(keys, obj, has_axis=False, basis="rpz", data=None): Whether the grid to compute on has a node on the magnetic axis. basis : {"rpz", "xyz"} Basis of computed quantities. - data : dict of ndarray + data : dict[str, jnp.ndarray] Data computed so far, generally output from other compute functions Returns @@ -287,7 +286,7 @@ def _get_deps(parameterization, names, deps, data=None, has_axis=False, check_fu Name(s) of the quantity(s) to compute. deps : set[str] Dependencies gathered so far. - data : dict of ndarray or None + data : dict[str, jnp.ndarray] Data computed so far, generally output from other compute functions. has_axis : bool Whether the grid to compute on has a node on the magnetic axis. @@ -375,7 +374,7 @@ def get_derivs(keys, obj, has_axis=False, basis="rpz"): Returns ------- - derivs : dict of list of int + derivs : dict[list, str] Orders of derivatives needed to compute key. Keys for R, Z, L, etc @@ -465,7 +464,7 @@ def get_params(keys, obj, has_axis=False, basis="rpz"): Returns ------- - params : list of str or dict of ndarray + params : list[str] or dict[str, jnp.ndarray] Parameters needed to compute key. If eq is None, returns a list of the names of params needed otherwise, returns a dict of ndarray with keys for R_lmn, Z_lmn, etc. @@ -624,13 +623,13 @@ def has_dependencies(parameterization, qty, params, transforms, profiles, data): Type of thing we're checking dependencies for. eg desc.equilibrium.Equilibrium qty : str Name of something from the data index. - params : dict of ndarray + params : dict[str, jnp.ndarray] Dictionary of parameters we have. - transforms : dict of Transform + transforms : dict[str, Transform] Dictionary of transforms we have. - profiles : dict of Profile + profiles : dict[str, Profile] Dictionary of profiles we have. - data : dict of ndarray + data : dict[str, jnp.ndarray] Dictionary of what we've computed so far. Returns @@ -988,8 +987,10 @@ def line_integrals( line_label != "poloidal" and isinstance(grid, ConcentricGrid), msg="ConcentricGrid should only be used for poloidal line integrals.", ) - msg = colored("Correctness not guaranteed on grids with duplicate nodes.", "yellow") - warnif(isinstance(grid, LinearGrid) and grid.endpoint, msg=msg) + warnif( + isinstance(grid, LinearGrid) and grid.endpoint, + msg="Correctness not guaranteed on grids with duplicate nodes.", + ) # Generate a new quantity q_prime which is zero everywhere # except on the fixed surface, on which q_prime takes the value of q. # Then forward the computation to surface_integrals(). @@ -1075,11 +1076,8 @@ def surface_integrals_map(grid, surface_label="rho", expand_out=True, tol=1e-14) surface_label = grid.get_label(surface_label) warnif( surface_label == "poloidal" and isinstance(grid, ConcentricGrid), - msg=colored( - "Integrals over constant poloidal surfaces" - " are poorly defined for ConcentricGrid.", - "yellow", - ), + msg="Integrals over constant poloidal surfaces" + " are poorly defined for ConcentricGrid.", ) unique_size, inverse_idx, spacing, has_endpoint_dupe, has_idx = _get_grid_surface( grid, surface_label diff --git a/desc/equilibrium/coords.py b/desc/equilibrium/coords.py index 5ca8611cae..15f69ce843 100644 --- a/desc/equilibrium/coords.py +++ b/desc/equilibrium/coords.py @@ -1,17 +1,19 @@ """Functions for mapping between flux, sfl, and real space coordinates.""" import functools -import warnings import numpy as np -from termcolor import colored from desc.backend import fori_loop, jit, jnp, put, root, root_scalar, vmap from desc.compute import compute as compute_fun from desc.compute import data_index, get_data_deps, get_profiles, get_transforms from desc.grid import ConcentricGrid, Grid, LinearGrid, QuadratureGrid from desc.transform import Transform -from desc.utils import setdefault +from desc.utils import check_posint, errorif, setdefault, warnif + + +def _periodic(x, period): + return jnp.where(jnp.isfinite(period), x % period, x) def map_coordinates( # noqa: C901 @@ -21,7 +23,7 @@ def map_coordinates( # noqa: C901 outbasis=("rho", "theta", "zeta"), guess=None, params=None, - period=(np.inf, np.inf, np.inf), + period=None, tol=1e-6, maxiter=30, full_output=False, @@ -38,7 +40,7 @@ def map_coordinates( # noqa: C901 Parameters ---------- eq : Equilibrium - Equilibrium to use + Equilibrium to use. coords : ndarray, shape(k,3) 2D array of input coordinates. Each row is a different point in space. inbasis, outbasis : tuple of str @@ -49,6 +51,7 @@ def map_coordinates( # noqa: C901 Initial guess for the computational coordinates ['rho', 'theta', 'zeta'] corresponding to coords in inbasis. If None, heuristics are used based on inbasis or a nearest neighbor search on a grid. + In most cases, this must be given to be compatible with JIT. params : dict Values of equilibrium parameters to use, e.g. ``eq.params_dict``. period : tuple of float @@ -56,7 +59,7 @@ def map_coordinates( # noqa: C901 Use np.inf to denote no periodicity. tol : float Stopping tolerance. - maxiter : int > 0 + maxiter : int Maximum number of Newton iterations. full_output : bool, optional If True, also return a tuple where the first element is the residual from @@ -67,7 +70,7 @@ def map_coordinates( # noqa: C901 Returns ------- - coords : ndarray, shape(k,3) + out : ndarray, shape(k,3) Coordinates mapped from inbasis to outbasis. Values of NaN will be returned for coordinates where root finding did not succeed, possibly because the coordinate is not in the plasma volume. @@ -75,36 +78,57 @@ def map_coordinates( # noqa: C901 2 element tuple containing residuals and number of iterations for each point. Only returned if ``full_output`` is True - Notes - ----- - ``guess`` must be given for this function to be compatible with ``jit``. - """ + check_posint(maxiter, allow_none=False) + errorif( + not np.isfinite(tol) or tol <= 0, + ValueError, + f"tol must be a positive float, got {tol}", + ) + params = setdefault(params, eq.params_dict) inbasis = tuple(inbasis) outbasis = tuple(outbasis) - assert ( - np.isfinite(maxiter) and maxiter > 0 - ), f"maxiter must be a positive integer, got {maxiter}" - assert np.isfinite(tol) and tol > 0, f"tol must be a positive float, got {tol}" - basis_derivs = tuple([f"{X}_{d}" for X in inbasis for d in ("r", "t", "z")]) + if outbasis == ("rho", "theta", "zeta"): + # TODO: get iota if not supplied using below logic + if inbasis == ("rho", "alpha", "zeta") and "iota" in kwargs: + return _map_clebsch_coordinates( + coords, + kwargs.pop("iota"), + params["L_lmn"], + eq.L_basis, + guess, + tol, + maxiter, + full_output, + **kwargs, + ) + if inbasis == ("rho", "theta_PEST", "zeta"): + return _map_PEST_coordinates( + coords, + params["L_lmn"], + eq.L_basis, + guess, + tol, + maxiter, + full_output, + **kwargs, + ) + + basis_derivs = tuple(f"{X}_{d}" for X in inbasis for d in ("r", "t", "z")) for key in basis_derivs: - assert ( - key in data_index["desc.equilibrium.equilibrium.Equilibrium"] - ), f"don't have recipe to compute partial derivative {key}" + errorif( + key not in data_index["desc.equilibrium.equilibrium.Equilibrium"], + NotImplementedError, + f"don't have recipe to compute partial derivative {key}", + ) rhomin = kwargs.pop("rhomin", tol / 10) - kwargs.setdefault("tol", tol) - kwargs.setdefault("maxiter", maxiter) - period = np.asarray(period) + warnif(period is None, msg="Assuming no periodicity.") + period = np.asarray(setdefault(period, (np.inf, np.inf, np.inf))) + coords = _periodic(coords, period) - def periodic(x): - return jnp.where(jnp.isfinite(period), x % period, x) - - coords = periodic(coords) - - params = setdefault(params, eq.params_dict) - profiles = get_profiles(inbasis + basis_derivs, eq, None) + profiles = get_profiles(inbasis + basis_derivs, eq) p = "desc.equilibrium.equilibrium.Equilibrium" names = inbasis + basis_derivs + outbasis deps = list(set(get_data_deps(names, obj=p) + list(names))) @@ -132,7 +156,7 @@ def compute(y, basis): @jit def residual(y, coords): xk = compute(y, inbasis) - r = periodic(xk) - periodic(coords) + r = _periodic(xk, period) - _periodic(coords, period) return jnp.where((r > period / 2) & jnp.isfinite(period), -period + r, r) @jit @@ -155,12 +179,23 @@ def fixup(y, *args): if yk is None: yk = _initial_guess_heuristic(yk, coords, inbasis, eq, profiles) if yk is None: - yk = _initial_guess_nn_search(yk, coords, inbasis, eq, period, compute) + yk = _initial_guess_nn_search(coords, inbasis, eq, period, compute) yk = fixup(yk) vecroot = jit( - vmap(lambda x0, *p: root(residual, x0, jac=jac, args=p, fixup=fixup, **kwargs)) + vmap( + lambda x0, *p: root( + residual, + x0, + jac=jac, + args=p, + fixup=fixup, + tol=tol, + maxiter=maxiter, + **kwargs, + ) + ) ) # See description here # https://github.com/PlasmaControl/DESC/pull/504#discussion_r1194172532 @@ -208,22 +243,19 @@ def _initial_guess_heuristic(yk, coords, inbasis, eq, profiles): iota = profiles["iota"](rho) theta = (alpha + iota * zeta) % (2 * jnp.pi) - yk = jnp.array([rho, theta, zeta]).T + yk = jnp.column_stack([rho, theta, zeta]) return yk -def _initial_guess_nn_search(yk, coords, inbasis, eq, period, compute): +def _initial_guess_nn_search(coords, inbasis, eq, period, compute): # nearest neighbor search on dense grid yg = ConcentricGrid(eq.L_grid, eq.M_grid, max(eq.N_grid, eq.M_grid)).nodes xg = compute(yg, inbasis) idx = jnp.zeros(len(coords)).astype(int) coords = jnp.asarray(coords) - def periodic(x): - return jnp.where(jnp.isfinite(period), x % period, x) - def _distance_body(i, idx): - d = periodic(coords[i]) - periodic(xg) + d = _periodic(coords[i], period) - _periodic(xg, period) d = jnp.where((d > period / 2) & jnp.isfinite(period), period - d, d) distance = jnp.linalg.norm(d, axis=-1) k = jnp.argmin(distance) @@ -234,24 +266,32 @@ def _distance_body(i, idx): return yg[idx] -def compute_theta_coords( - eq, flux_coords, L_lmn=None, tol=1e-6, maxiter=20, full_output=False, **kwargs +# TODO: decide later whether to assume given phi instead of zeta. +def _map_PEST_coordinates( + PEST_coords, + L_lmn, + L_basis, + guess, + tol=1e-6, + maxiter=30, + full_output=False, + **kwargs, ): """Find θ (theta_DESC) for given straight field line ϑ (theta_PEST). Parameters ---------- - eq : Equilibrium - Equilibrium to use. - flux_coords : ndarray + PEST_coords : ndarray Shape (k, 3). Straight field line PEST coordinates [ρ, ϑ, ϕ]. Assumes ζ = ϕ. Each row is a different point in space. - L_lmn : ndarray - Spectral coefficients for lambda. Defaults to ``eq.L_lmn``. + L_lmn : jnp.ndarray + Spectral coefficients for lambda. + L_basis : Basis + Spectral basis for lambda. tol : float Stopping tolerance. - maxiter : int > 0 + maxiter : int Maximum number of Newton iterations. full_output : bool, optional If True, also return a tuple where the first element is the residual from @@ -262,7 +302,7 @@ def compute_theta_coords( Returns ------- - coords : ndarray + out : ndarray Shape (k, 3). DESC computational coordinates [ρ, θ, ζ]. info : tuple @@ -270,20 +310,17 @@ def compute_theta_coords( Only returned if ``full_output`` is True. """ - kwargs.setdefault("maxiter", maxiter) - kwargs.setdefault("tol", tol) - - if L_lmn is None: - L_lmn = eq.L_lmn - rho, theta_PEST, zeta = flux_coords.T + rho, theta_PEST, zeta = PEST_coords.T theta_PEST = theta_PEST % (2 * np.pi) + # Assume λ=0 for initial guess. + guess = setdefault(guess, theta_PEST) # Root finding for θₖ such that r(θₖ) = ϑₖ(ρ, θₖ, ζ) − ϑ = 0. def rootfun(theta_DESC, theta_PEST, rho, zeta): nodes = jnp.array( [rho.squeeze(), theta_DESC.squeeze(), zeta.squeeze()], ndmin=2 ) - A = eq.L_basis.evaluate(nodes) + A = L_basis.evaluate(nodes) lmbda = A @ L_lmn theta_PEST_k = (theta_DESC + lmbda) % (2 * np.pi) r = theta_PEST_k - theta_PEST @@ -297,7 +334,7 @@ def jacfun(theta_DESC, theta_PEST, rho, zeta): nodes = jnp.array( [rho.squeeze(), theta_DESC.squeeze(), zeta.squeeze()], ndmin=2 ) - A1 = eq.L_basis.evaluate(nodes, (0, 1, 0)) + A1 = L_basis.evaluate(nodes, (0, 1, 0)) lmbda_t = jnp.dot(A1, L_lmn) return 1 + lmbda_t.squeeze() @@ -307,28 +344,36 @@ def fixup(x, *args): vecroot = jit( vmap( lambda x0, *p: root_scalar( - rootfun, x0, jac=jacfun, args=p, fixup=fixup, **kwargs + rootfun, + x0, + jac=jacfun, + args=p, + fixup=fixup, + tol=tol, + maxiter=maxiter, + **kwargs, ) ) ) # Assume λ=0 for initial guess. - theta_DESC, (res, niter) = vecroot(theta_PEST, theta_PEST, rho, zeta) + theta_DESC, (res, niter) = vecroot(guess, theta_PEST, rho, zeta) - nodes = jnp.array([rho, jnp.atleast_1d(theta_DESC.squeeze()), zeta]).T + out = jnp.column_stack([rho, jnp.atleast_1d(theta_DESC.squeeze()), zeta]) - out = nodes if full_output: return out, (res, niter) return out -def map_clebsch_coords( +# TODO: decide later whether to assume given phi instead of zeta. +def _map_clebsch_coordinates( clebsch_coords, iota, L_lmn, L_basis, + guess=None, tol=1e-6, - maxiter=20, + maxiter=30, full_output=False, **kwargs, ): @@ -336,8 +381,6 @@ def map_clebsch_coords( Parameters ---------- - eq : Equilibrium - Equilibrium to use. clebsch_coords : ndarray Shape (k, 3). Clebsch field line coordinates [ρ, α, ζ]. Assumes ζ = ϕ. @@ -345,13 +388,15 @@ def map_clebsch_coords( iota : ndarray Shape (k, ) Rotational transform on each node. - L_lmn : ndarray + L_lmn : jnp.ndarray Spectral coefficients for lambda. L_basis : Basis Spectral basis for lambda. + guess : ndarray, shape(k,3) + Optional initial guess for the computational coordinates. tol : float Stopping tolerance. - maxiter : int > 0 + maxiter : int Maximum number of Newton iterations. full_output : bool, optional If True, also return a tuple where the first element is the residual from @@ -362,7 +407,7 @@ def map_clebsch_coords( Returns ------- - coords : ndarray + out : ndarray Shape (k, 3). DESC computational coordinates [ρ, θ, ζ]. info : tuple @@ -370,20 +415,18 @@ def map_clebsch_coords( Only returned if ``full_output`` is True. """ - kwargs.setdefault("maxiter", maxiter) - kwargs.setdefault("tol", tol) - rho, alpha, zeta = clebsch_coords.T - alpha = alpha % (2 * np.pi) + if guess is None: + # Assume λ=0 for initial guess. + guess = (alpha + iota * zeta) % (2 * np.pi) # Root finding for θₖ such that r(θₖ) = αₖ(ρ, θₖ, ζ) − α = 0. def rootfun(theta, alpha, rho, zeta, iota): nodes = jnp.array([rho.squeeze(), theta.squeeze(), zeta.squeeze()], ndmin=2) A = L_basis.evaluate(nodes) lmbda = A @ L_lmn - # TODO: generalize for toroidal angle - alpha_k = (theta + lmbda - iota * zeta) % (2 * np.pi) - r = alpha_k - alpha + alpha_k = theta + lmbda - iota * zeta + r = (alpha_k - alpha) % (2 * np.pi) # r should be between -pi and pi r = jnp.where(r > np.pi, r - 2 * np.pi, r) r = jnp.where(r < -np.pi, r + 2 * np.pi, r) @@ -402,18 +445,20 @@ def fixup(x, *args): vecroot = jit( vmap( lambda x0, *p: root_scalar( - rootfun, x0, jac=jacfun, args=p, fixup=fixup, **kwargs + rootfun, + x0, + jac=jacfun, + args=p, + fixup=fixup, + tol=tol, + maxiter=maxiter, + **kwargs, ) ) ) - # Assume λ=0 for initial guess. - theta, (res, niter) = vecroot( - (alpha + iota * zeta) % (2 * np.pi), alpha, rho, zeta, iota - ) + theta, (res, niter) = vecroot(guess, alpha, rho, zeta, iota) + out = jnp.column_stack([rho, jnp.atleast_1d(theta.squeeze()), zeta]) - nodes = jnp.array([rho, jnp.atleast_1d(theta.squeeze()), zeta]).T - - out = nodes if full_output: return out, (res, niter) return out @@ -461,11 +506,7 @@ def is_nested(eq, grid=None, R_lmn=None, Z_lmn=None, L_lmn=None, msg=None): data = compute_fun( "desc.equilibrium.equilibrium.Equilibrium", "sqrt(g)_PEST", - params={ - "R_lmn": R_lmn, - "Z_lmn": Z_lmn, - "L_lmn": L_lmn, - }, + params={"R_lmn": R_lmn, "Z_lmn": Z_lmn, "L_lmn": L_lmn}, transforms=transforms, profiles={}, # no profiles needed ) @@ -473,25 +514,20 @@ def is_nested(eq, grid=None, R_lmn=None, Z_lmn=None, L_lmn=None, msg=None): nested = jnp.all( jnp.sign(data["sqrt(g)_PEST"][0]) == jnp.sign(data["sqrt(g)_PEST"]) ) - if not nested: - if msg == "auto": - warnings.warn( - colored( - "WARNING: Flux surfaces are no longer nested, exiting early. " - + "Automatic continuation method failed, consider specifying " - + "continuation steps manually", - "yellow", - ) - ) - elif msg == "manual": - warnings.warn( - colored( - "WARNING: Flux surfaces are no longer nested, exiting early." - + "Consider taking smaller perturbation/resolution steps " - + "or reducing trust radius", - "yellow", - ) - ) + warnif( + not nested, + RuntimeWarning, + ( + "Flux surfaces are no longer nested, exiting early. " + + { + "auto": "Automatic continuation method failed, consider specifying " + "continuation steps manually.", + "manual": "Consider taking smaller perturbation/resolution steps " + "or reducing trust radius.", + None: "", + }[msg] + ), + ) return nested @@ -672,3 +708,44 @@ def get_rtz_grid(eq, radial, poloidal, toroidal, coordinates, period, jitable=Tr _inverse_rho_idx=grid.inverse_rho_idx, ) return desc_grid + + +def compute_theta_coords( + eq, flux_coords, L_lmn=None, tol=1e-6, maxiter=20, full_output=False, **kwargs +): + """Find θ (theta_DESC) for given straight field line ϑ (theta_PEST). + + Parameters + ---------- + eq : Equilibrium + Equilibrium to use. + flux_coords : ndarray + Shape (k, 3). + Straight field line PEST coordinates [ρ, ϑ, ϕ]. Assumes ζ = ϕ. + Each row is a different point in space. + L_lmn : ndarray + Spectral coefficients for lambda. Defaults to ``eq.L_lmn``. + tol : float + Stopping tolerance. + maxiter : int + Maximum number of Newton iterations. + full_output : bool, optional + If True, also return a tuple where the first element is the residual from + the root finding and the second is the number of iterations. + kwargs : dict, optional + Additional keyword arguments to pass to ``root_scalar`` such as + ``maxiter_ls``, ``alpha``. + + Returns + ------- + coords : ndarray + Shape (k, 3). + DESC computational coordinates [ρ, θ, ζ]. + info : tuple + 2 element tuple containing residuals and number of iterations for each + point. Only returned if ``full_output`` is True. + + """ + return eq.compute_theta_coords( + flux_coords, L_lmn, tol, maxiter, full_output, **kwargs + ) diff --git a/desc/equilibrium/equilibrium.py b/desc/equilibrium/equilibrium.py index 758ade21e5..ad5318fa04 100644 --- a/desc/equilibrium/equilibrium.py +++ b/desc/equilibrium/equilibrium.py @@ -2,13 +2,11 @@ import copy import numbers -import warnings from collections.abc import MutableSequence import numpy as np from scipy import special from scipy.constants import mu_0 -from termcolor import colored from desc.backend import execute_on_cpu, jnp from desc.basis import FourierZernikeBasis, fourier, zernike_radial @@ -53,13 +51,7 @@ ) from ..compute.data_index import is_0d_vol_grid, is_1dr_rad_grid, is_1dz_tor_grid -from .coords import ( - compute_theta_coords, - is_nested, - map_clebsch_coords, - map_coordinates, - to_sfl, -) +from .coords import is_nested, map_coordinates, to_sfl from .initial_guess import set_initial_guess from .utils import parse_axis, parse_profile, parse_surface @@ -361,10 +353,10 @@ def __init__( p = getattr(self, profile) if hasattr(p, "change_resolution"): p.change_resolution(max(p.basis.L, self.L)) - if isinstance(p, PowerSeriesProfile) and p.sym != "even": - warnings.warn( - colored(f"{profile} profile is not an even power series.", "yellow") - ) + warnif( + isinstance(p, PowerSeriesProfile) and p.sym != "even", + msg=f"{profile} profile is not an even power series.", + ) # ensure number of field periods agree before setting guesses eq_NFP = self.NFP @@ -830,7 +822,7 @@ def compute( # noqa: C901 profiles : dict of Profile Profile objects for pressure, iota, current, etc. Defaults to attributes of self - data : dict of ndarray + data : dict[str, jnp.ndarray] Data computed so far, generally output from other compute functions. Any vector v = v¹ R̂ + v² ϕ̂ + v³ Ẑ should be given in components v = [v¹, v², v³] where R̂, ϕ̂, Ẑ are the normalized basis vectors @@ -983,10 +975,9 @@ def need_src(name): for dep in deps: req = data_index[p][dep]["resolution_requirement"] coords = data_index[p][dep]["coordinates"] - msg = lambda direction: colored( + msg = lambda direction: ( f"Dependency {dep} may require more {direction}" - " resolution to compute accurately.", - "yellow", + " resolution to compute accurately." ) warnif( # if need more radial resolution @@ -1148,14 +1139,14 @@ def need_src(name): ) return data - def map_coordinates( # noqa: C901 + def map_coordinates( self, coords, inbasis, outbasis=("rho", "theta", "zeta"), guess=None, params=None, - period=(np.inf, np.inf, np.inf), + period=None, tol=1e-6, maxiter=30, full_output=False, @@ -1179,6 +1170,7 @@ def map_coordinates( # noqa: C901 Initial guess for the computational coordinates ['rho', 'theta', 'zeta'] corresponding to coords in inbasis. If None, heuristics are used based on in basis and a nearest neighbor search on a coarse grid. + In most cases, this must be given to be compatible with JIT. params : dict Values of equilibrium parameters to use, eg eq.params_dict period : tuple of float @@ -1186,7 +1178,7 @@ def map_coordinates( # noqa: C901 Use np.inf to denote no periodicity. tol : float Stopping tolerance. - maxiter : int > 0 + maxiter : int Maximum number of Newton iterations full_output : bool, optional If True, also return a tuple where the first element is the residual from @@ -1197,15 +1189,11 @@ def map_coordinates( # noqa: C901 Returns ------- - coords : ndarray, shape(k,3) + out : ndarray, shape(k,3) Coordinates mapped from inbasis to outbasis. info : tuple 2 element tuple containing residuals and number of iterations - for each point. Only returned if ``full_output`` is True - - Notes - ----- - ``guess`` must be given for this function to be compatible with ``jit``. + for each point. Only returned if ``full_output`` is True. """ return map_coordinates( @@ -1237,7 +1225,7 @@ def compute_theta_coords( Spectral coefficients for lambda. Defaults to ``eq.L_lmn``. tol : float Stopping tolerance. - maxiter : int > 0 + maxiter : int Maximum number of Newton iterations. full_output : bool, optional If True, also return a tuple where the first element is the residual from @@ -1256,70 +1244,14 @@ def compute_theta_coords( point. Only returned if ``full_output`` is True. """ - return compute_theta_coords( + warnif(True, DeprecationWarning, msg="Use map_coordinates instead.") + return map_coordinates( self, flux_coords, - L_lmn=L_lmn, - tol=tol, - maxiter=maxiter, - full_output=full_output, - **kwargs, - ) - - def map_clebsch_coords( - self, - clebsch_coords, - iota, - L_lmn=None, - L_basis=None, - tol=1e-6, - maxiter=20, - full_output=False, - **kwargs, - ): - """Find θ for given Clebsch field line poloidal label α. - - Parameters - ---------- - eq : Equilibrium - Equilibrium to use. - clebsch_coords : ndarray - Shape (k, 3). - Clebsch field line coordinates [ρ, α, ζ]. Assumes ζ = ϕ. - Each row is a different point in space. - iota : ndarray - Shape (k, ) - Rotational transform on each node. - L_lmn : ndarray - Spectral coefficients for lambda. Defaults to ``eq.L_lmn``. - L_basis : Basis - Spectral basis for lambda. Defaults to ``eq.L_basis``. - tol : float - Stopping tolerance. - maxiter : int > 0 - Maximum number of Newton iterations. - full_output : bool, optional - If True, also return a tuple where the first element is the residual from - the root finding and the second is the number of iterations. - kwargs : dict, optional - Additional keyword arguments to pass to ``root_scalar`` such as - ``maxiter_ls``, ``alpha``. - - Returns - ------- - coords : ndarray - Shape (k, 3). - DESC computational coordinates [ρ, θ, ζ]. - info : tuple - 2 element tuple containing residuals and number of iterations for each - point. Only returned if ``full_output`` is True. - - """ - return map_clebsch_coords( - clebsch_coords, - iota, - L_lmn=setdefault(L_lmn, self.L_lmn), - L_basis=setdefault(L_basis, self.L_basis), + inbasis=("rho", "theta_PEST", "zeta"), + outbasis=("rho", "theta", "zeta"), + params=setdefault({"L_lmn": L_lmn}, self.params_dict, L_lmn), + basis={"L_basis": self.L_basis}, tol=tol, maxiter=maxiter, full_output=full_output, @@ -2098,22 +2030,20 @@ def solve( if not isinstance(constraints, (list, tuple)): constraints = tuple([constraints]) - if self.N > self.N_grid or self.M > self.M_grid or self.L > self.L_grid: - warnings.warn( - colored( - "Equilibrium has one or more spectral resolutions " - + "greater than the corresponding collocation grid resolution! " - + "This is not recommended and may result in poor convergence. " - + "Set grid resolutions to be higher, (i.e. eq.N_grid=2*eq.N) " - + "to avoid this warning.", - "yellow", - ) - ) - if self.bdry_mode == "poincare": - raise NotImplementedError( - "Solving equilibrium with poincare XS as BC is not supported yet " - + "on master branch." - ) + warnif( + self.N > self.N_grid or self.M > self.M_grid or self.L > self.L_grid, + msg="Equilibrium has one or more spectral resolutions " + + "greater than the corresponding collocation grid resolution! " + + "This is not recommended and may result in poor convergence. " + + "Set grid resolutions to be higher, (i.e. eq.N_grid=2*eq.N) " + + "to avoid this warning.", + ) + errorif( + self.bdry_mode == "poincare", + NotImplementedError, + "Solving equilibrium with poincare XS as BC is not supported yet " + + "on master branch.", + ) things, result = optimizer.optimize( self, diff --git a/desc/utils.py b/desc/utils.py index 36b58f2281..a1df551229 100644 --- a/desc/utils.py +++ b/desc/utils.py @@ -532,7 +532,7 @@ def errorif(cond, err=ValueError, msg=""): just AssertionError. """ if cond: - raise err(msg) + raise err(colored(msg, "red")) class ResolutionWarning(UserWarning): @@ -544,7 +544,7 @@ class ResolutionWarning(UserWarning): def warnif(cond, err=UserWarning, msg=""): """Throw a warning if condition is met.""" if cond: - warnings.warn(msg, err) + warnings.warn(colored(msg, "yellow"), err) def check_nonnegint(x, name="", allow_none=True): diff --git a/desc/vmec.py b/desc/vmec.py index 7a68f52de9..47507ebd97 100644 --- a/desc/vmec.py +++ b/desc/vmec.py @@ -1687,7 +1687,7 @@ def root_fun(theta): axis=-1, ) theta_star_k = theta + lmbda # theta* = theta + lambda - err = theta_star - theta_star_k + err = theta_star - theta_star_k # FIXME: mod by 2pi return err out = optimize.root( diff --git a/tests/test_equilibrium.py b/tests/test_equilibrium.py index b67c723038..834775ecae 100644 --- a/tests/test_equilibrium.py +++ b/tests/test_equilibrium.py @@ -20,8 +20,8 @@ @pytest.mark.unit -def test_compute_theta_coords(): - """Test root finding for theta(theta*,lambda(theta)).""" +def test_map_PEST_coordinates(): + """Test root finding for theta(theta_PEST,lambda(theta)).""" eq = get("DSHAPE_CURRENT") with pytest.warns(UserWarning, match="Reducing radial"): eq.change_resolution(3, 3, 0, 6, 6, 0) @@ -34,7 +34,7 @@ def test_compute_theta_coords(): flux_coords = nodes.copy() flux_coords[:, 1] += coords["lambda"] - geom_coords = eq.compute_theta_coords(flux_coords) + geom_coords = eq.map_coordinates(flux_coords, inbasis=("rho", "theta_PEST", "zeta")) geom_coords = np.array(geom_coords) # catch difference between 0 and 2*pi @@ -55,17 +55,16 @@ def test_map_coordinates(): iota = grid.compress(eq.compute("iota", grid=grid)["iota"]) iota = np.broadcast_to(iota, shape=(n,)) - out_1 = eq.map_clebsch_coords(coords, iota) + out_1 = eq.map_coordinates(coords, inbasis=["rho", "alpha", "zeta"], iota=iota) assert np.isfinite(out_1).all() out_2 = eq.map_coordinates( coords, - ["rho", "alpha", "zeta"], - ["rho", "theta", "zeta"], + inbasis=["rho", "alpha", "zeta"], period=(np.inf, 2 * np.pi, np.inf), ) assert np.isfinite(out_2).all() diff = (out_1 - out_2) % (2 * np.pi) - assert np.all(np.isclose(diff, 0) | np.isclose(diff, 2 * np.pi)) + assert np.all(np.isclose(diff, 0) | np.isclose(np.abs(diff), 2 * np.pi)) eq = get("DSHAPE") @@ -142,7 +141,9 @@ def foo(params, in_coords): @jax.jit def bar(L_lmn): - geom_coords = eq.compute_theta_coords(flux_coords, L_lmn) + geom_coords = eq.map_coordinates( + flux_coords, inbasis=("rho", "theta_PEST", "zeta") + ) return geom_coords J1 = jax.jit(jax.jacfwd(bar))(eq.params_dict["L_lmn"]) diff --git a/tests/test_plotting.py b/tests/test_plotting.py index 843e125319..697c9dd893 100644 --- a/tests/test_plotting.py +++ b/tests/test_plotting.py @@ -839,7 +839,7 @@ def test_plot_b_mag(): rhoa = rho * np.ones_like(zeta) c = np.vstack([rhoa, thetas, zeta]).T - coords = eq.compute_theta_coords(c) + coords = eq._map_coordinates(c, inbasis=("rho", "theta_PEST", "zeta")) grid = Grid(coords) # compute |B| normalized in the usual flux tube way diff --git a/tests/utils.py b/tests/utils.py index 85960f804d..56077b1271 100644 --- a/tests/utils.py +++ b/tests/utils.py @@ -36,7 +36,7 @@ def compute_coords(equil, Nr=10, Nt=8, Nz=None): # angle in PEST-like flux coordinates # find theta angles corresponding to desired theta* angles - v_grid = Grid(equil.compute_theta_coords(t_grid.nodes)) + v_grid = Grid(equil._map_PEST_coordinates(t_grid.nodes)) r_coords = equil.compute(["R", "Z"], grid=r_grid) v_coords = equil.compute(["R", "Z"], grid=v_grid) From eab2117addf9a211f1d41767e47f27ba3afeab8a Mon Sep 17 00:00:00 2001 From: unalmis Date: Thu, 8 Aug 2024 19:08:20 -0400 Subject: [PATCH 65/74] Add kwargs to get_rtz_grid --- desc/equilibrium/coords.py | 10 ++++++++-- desc/grid.py | 5 ++--- 2 files changed, 10 insertions(+), 5 deletions(-) diff --git a/desc/equilibrium/coords.py b/desc/equilibrium/coords.py index 15f69ce843..19e30af09c 100644 --- a/desc/equilibrium/coords.py +++ b/desc/equilibrium/coords.py @@ -648,7 +648,9 @@ def to_sfl( return eq_sfl -def get_rtz_grid(eq, radial, poloidal, toroidal, coordinates, period, jitable=True): +def get_rtz_grid( + eq, radial, poloidal, toroidal, coordinates, period, jitable=True, **kwargs +): """Return DESC grid in rtz (rho, theta, zeta) coordinates from given coordinates. Create a tensor-product grid from the given coordinates, and return the same grid @@ -691,12 +693,15 @@ def get_rtz_grid(eq, radial, poloidal, toroidal, coordinates, period, jitable=Tr "v": "theta_PEST", "a": "alpha", "z": "zeta", + "p": "phi", } - rtz_nodes = eq.map_coordinates( + rtz_nodes = map_coordinates( + eq, grid.nodes, inbasis=[inbasis[char] for char in coordinates], outbasis=("rho", "theta", "zeta"), period=period, + **kwargs, ) desc_grid = Grid( nodes=rtz_nodes, @@ -704,6 +709,7 @@ def get_rtz_grid(eq, radial, poloidal, toroidal, coordinates, period, jitable=Tr source_grid=grid, sort=False, jitable=jitable, + # Assumes that in basis radial coordinate is single variable function of rho. _unique_rho_idx=grid.unique_rho_idx, _inverse_rho_idx=grid.inverse_rho_idx, ) diff --git a/desc/grid.py b/desc/grid.py index aad2c86f33..06ce1329ae 100644 --- a/desc/grid.py +++ b/desc/grid.py @@ -715,9 +715,8 @@ def __init__( self._N = self.num_nodes errorif(len(kwargs), ValueError, f"Got unexpected kwargs {kwargs.keys()}") - @classmethod + @staticmethod def create_meshgrid( - cls, nodes, spacing=None, coordinates="rtz", @@ -790,7 +789,7 @@ def create_meshgrid( a.size, ) inverse_c_idx = jnp.tile(unique_c_idx, a.size * b.size) - return cls( + return Grid( nodes=nodes, spacing=spacing, weights=weights, From bf795505ff188b338b3f7cb06e5d78c212f4ca61 Mon Sep 17 00:00:00 2001 From: unalmis Date: Thu, 8 Aug 2024 19:23:39 -0400 Subject: [PATCH 66/74] Replace some calls to compute_theta_coords with new function --- tests/test_plotting.py | 2 +- tests/utils.py | 4 +++- 2 files changed, 4 insertions(+), 2 deletions(-) diff --git a/tests/test_plotting.py b/tests/test_plotting.py index 697c9dd893..8252d349d8 100644 --- a/tests/test_plotting.py +++ b/tests/test_plotting.py @@ -839,7 +839,7 @@ def test_plot_b_mag(): rhoa = rho * np.ones_like(zeta) c = np.vstack([rhoa, thetas, zeta]).T - coords = eq._map_coordinates(c, inbasis=("rho", "theta_PEST", "zeta")) + coords = eq.map_coordinates(c, inbasis=("rho", "theta_PEST", "zeta")) grid = Grid(coords) # compute |B| normalized in the usual flux tube way diff --git a/tests/utils.py b/tests/utils.py index 56077b1271..8799bfdbf2 100644 --- a/tests/utils.py +++ b/tests/utils.py @@ -36,7 +36,9 @@ def compute_coords(equil, Nr=10, Nt=8, Nz=None): # angle in PEST-like flux coordinates # find theta angles corresponding to desired theta* angles - v_grid = Grid(equil._map_PEST_coordinates(t_grid.nodes)) + v_grid = Grid( + equil.map_coordinates(t_grid.nodes, inbasis=("rho", "theta_PEST", "zeta")) + ) r_coords = equil.compute(["R", "Z"], grid=r_grid) v_coords = equil.compute(["R", "Z"], grid=v_grid) From b31c26404fe18444a072155cfa920953e3e8668a Mon Sep 17 00:00:00 2001 From: unalmis Date: Thu, 8 Aug 2024 19:44:24 -0400 Subject: [PATCH 67/74] Clean up docstring --- desc/equilibrium/coords.py | 54 ++++++++++++++++----------------- desc/equilibrium/equilibrium.py | 42 ++++++++++++++----------- 2 files changed, 52 insertions(+), 44 deletions(-) diff --git a/desc/equilibrium/coords.py b/desc/equilibrium/coords.py index 19e30af09c..7528e0e0fb 100644 --- a/desc/equilibrium/coords.py +++ b/desc/equilibrium/coords.py @@ -29,33 +29,34 @@ def map_coordinates( # noqa: C901 full_output=False, **kwargs, ): - """Given coordinates in inbasis, compute corresponding coordinates in outbasis. + """Transform coordinates given in ``inbasis`` to ``outbasis``. - First solves for the computational coordinates that correspond to inbasis, then - evaluates outbasis at those locations. + Solves for the computational coordinates that correspond to ``inbasis``, + then evaluates ``outbasis`` at those locations. - Speed can often be significantly improved by providing a reasonable initial guess. - The default is a nearest neighbor search on a grid. + Performance can often improve significantly given a reasonable initial guess. Parameters ---------- eq : Equilibrium Equilibrium to use. - coords : ndarray, shape(k,3) + coords : ndarray + Shape (k, 3). 2D array of input coordinates. Each row is a different point in space. inbasis, outbasis : tuple of str - Labels for input and output coordinates, eg ("R", "phi", "Z") or + Labels for input and output coordinates, e.g. ("R", "phi", "Z") or ("rho", "alpha", "zeta") or any combination thereof. Labels should be the same as the compute function data key. - guess : None or ndarray, shape(k,3) + guess : jnp.ndarray + Shape (k, 3). Initial guess for the computational coordinates ['rho', 'theta', 'zeta'] - corresponding to coords in inbasis. If None, heuristics are used based on - inbasis or a nearest neighbor search on a grid. - In most cases, this must be given to be compatible with JIT. + corresponding to ``coords`` in ``inbasis``. If not given, then heuristics + based on ``inbasis`` or a nearest neighbor search on a grid may be used. + In general, this must be given to be compatible with JIT. params : dict Values of equilibrium parameters to use, e.g. ``eq.params_dict``. period : tuple of float - Assumed periodicity for each quantity in inbasis. + Assumed periodicity for each quantity in ``inbasis``. Use np.inf to denote no periodicity. tol : float Stopping tolerance. @@ -70,13 +71,14 @@ def map_coordinates( # noqa: C901 Returns ------- - out : ndarray, shape(k,3) - Coordinates mapped from inbasis to outbasis. Values of NaN will be returned - for coordinates where root finding did not succeed, possibly because the - coordinate is not in the plasma volume. + out : jnp.ndarray + Shape (k, 3). + Coordinates mapped from ``inbasis`` to ``outbasis``. Values of NaN will be + returned for coordinates where root finding did not succeed, possibly + because the coordinate is not in the plasma volume. info : tuple 2 element tuple containing residuals and number of iterations - for each point. Only returned if ``full_output`` is True + for each point. Only returned if ``full_output`` is True. """ check_posint(maxiter, allow_none=False) @@ -517,16 +519,14 @@ def is_nested(eq, grid=None, R_lmn=None, Z_lmn=None, L_lmn=None, msg=None): warnif( not nested, RuntimeWarning, - ( - "Flux surfaces are no longer nested, exiting early. " - + { - "auto": "Automatic continuation method failed, consider specifying " - "continuation steps manually.", - "manual": "Consider taking smaller perturbation/resolution steps " - "or reducing trust radius.", - None: "", - }[msg] - ), + "Flux surfaces are no longer nested, exiting early. " + + { + "auto": "Automatic continuation method failed, consider specifying " + "continuation steps manually.", + "manual": "Consider taking smaller perturbation/resolution steps " + "or reducing trust radius.", + None: "", + }[msg], ) return nested diff --git a/desc/equilibrium/equilibrium.py b/desc/equilibrium/equilibrium.py index ad5318fa04..c0bff9db1e 100644 --- a/desc/equilibrium/equilibrium.py +++ b/desc/equilibrium/equilibrium.py @@ -1152,34 +1152,39 @@ def map_coordinates( full_output=False, **kwargs, ): - """Given coordinates in inbasis, compute corresponding coordinates in outbasis. + """Transform coordinates given in ``inbasis`` to ``outbasis``. - First solves for the computational coordinates that correspond to inbasis, then - evaluates outbasis at those locations. + Solves for the computational coordinates that correspond to ``inbasis``, + then evaluates ``outbasis`` at those locations. + + Performance can often improve significantly given a reasonable initial guess. Parameters ---------- - coords : ndarray, shape(k,3) - 2D array of input coordinates. Each row is a different - point in space. + eq : Equilibrium + Equilibrium to use. + coords : ndarray + Shape (k, 3). + 2D array of input coordinates. Each row is a different point in space. inbasis, outbasis : tuple of str - Labels for input and output coordinates, eg ("R", "phi", "Z") or + Labels for input and output coordinates, e.g. ("R", "phi", "Z") or ("rho", "alpha", "zeta") or any combination thereof. Labels should be the - same as the compute function data key - guess : None or ndarray, shape(k,3) + same as the compute function data key. + guess : jnp.ndarray + Shape (k, 3). Initial guess for the computational coordinates ['rho', 'theta', 'zeta'] - corresponding to coords in inbasis. If None, heuristics are used based on - in basis and a nearest neighbor search on a coarse grid. - In most cases, this must be given to be compatible with JIT. + corresponding to ``coords`` in ``inbasis``. If not given, then heuristics + based on ``inbasis`` or a nearest neighbor search on a grid may be used. + In general, this must be given to be compatible with JIT. params : dict - Values of equilibrium parameters to use, eg eq.params_dict + Values of equilibrium parameters to use, e.g. ``eq.params_dict``. period : tuple of float - Assumed periodicity for each quantity in inbasis. + Assumed periodicity for each quantity in ``inbasis``. Use np.inf to denote no periodicity. tol : float Stopping tolerance. maxiter : int - Maximum number of Newton iterations + Maximum number of Newton iterations. full_output : bool, optional If True, also return a tuple where the first element is the residual from the root finding and the second is the number of iterations. @@ -1189,8 +1194,11 @@ def map_coordinates( Returns ------- - out : ndarray, shape(k,3) - Coordinates mapped from inbasis to outbasis. + out : jnp.ndarray + Shape (k, 3). + Coordinates mapped from ``inbasis`` to ``outbasis``. Values of NaN will be + returned for coordinates where root finding did not succeed, possibly + because the coordinate is not in the plasma volume. info : tuple 2 element tuple containing residuals and number of iterations for each point. Only returned if ``full_output`` is True. From f81b79190eafbcd955738079a8a1d2683ececd2d Mon Sep 17 00:00:00 2001 From: unalmis Date: Thu, 8 Aug 2024 19:51:39 -0400 Subject: [PATCH 68/74] Add assumption to docstring --- desc/equilibrium/coords.py | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/desc/equilibrium/coords.py b/desc/equilibrium/coords.py index 7528e0e0fb..1d1eaea123 100644 --- a/desc/equilibrium/coords.py +++ b/desc/equilibrium/coords.py @@ -357,7 +357,6 @@ def fixup(x, *args): ) ) ) - # Assume λ=0 for initial guess. theta_DESC, (res, niter) = vecroot(guess, theta_PEST, rho, zeta) out = jnp.column_stack([rho, jnp.atleast_1d(theta_DESC.squeeze()), zeta]) @@ -662,6 +661,9 @@ def get_rtz_grid( Equilibrium on which to perform coordinate mapping. radial : ndarray Sorted unique radial coordinates. + These coordinates are assumed to be a single variable function of rho. + Create a GitHub issue if you have a use-case where this assumption + cannot be made. poloidal : ndarray Sorted unique poloidal coordinates. toroidal : ndarray From d2a4f6e4aaf44e1f5ccd7613ae158308250b5d8b Mon Sep 17 00:00:00 2001 From: unalmis Date: Thu, 8 Aug 2024 22:20:58 -0400 Subject: [PATCH 69/74] Fix some issues with previous commits --- desc/compute/_metric.py | 2 +- desc/equilibrium/coords.py | 43 +++++++++++++++++++-------------- desc/equilibrium/equilibrium.py | 5 ++-- desc/vmec.py | 4 ++- 4 files changed, 31 insertions(+), 23 deletions(-) diff --git a/desc/compute/_metric.py b/desc/compute/_metric.py index 754116a98d..96228ffc06 100644 --- a/desc/compute/_metric.py +++ b/desc/compute/_metric.py @@ -1803,7 +1803,7 @@ def _gradrho(params, transforms, profiles, data, **kwargs): @register_compute_fun( name="<|grad(rho)|>", # same as S(r) / V_r(r) - label="\\langle \\vert \\nabla \\rho \\vert \\rangle|", + label="\\langle \\vert \\nabla \\rho \\vert \\rangle", units="m^{-1}", units_long="inverse meters", description="Magnitude of contravariant radial basis vector, flux surface average", diff --git a/desc/equilibrium/coords.py b/desc/equilibrium/coords.py index 1d1eaea123..2fda119f04 100644 --- a/desc/equilibrium/coords.py +++ b/desc/equilibrium/coords.py @@ -57,7 +57,7 @@ def map_coordinates( # noqa: C901 Values of equilibrium parameters to use, e.g. ``eq.params_dict``. period : tuple of float Assumed periodicity for each quantity in ``inbasis``. - Use np.inf to denote no periodicity. + Use ``np.inf`` to denote no periodicity. tol : float Stopping tolerance. maxiter : int @@ -91,6 +91,7 @@ def map_coordinates( # noqa: C901 inbasis = tuple(inbasis) outbasis = tuple(outbasis) + # TODO: make this work for permutations of in/out basis if outbasis == ("rho", "theta", "zeta"): # TODO: get iota if not supplied using below logic if inbasis == ("rho", "alpha", "zeta") and "iota" in kwargs: @@ -99,7 +100,7 @@ def map_coordinates( # noqa: C901 kwargs.pop("iota"), params["L_lmn"], eq.L_basis, - guess, + guess[:, 1] if guess is not None else None, tol, maxiter, full_output, @@ -110,7 +111,7 @@ def map_coordinates( # noqa: C901 coords, params["L_lmn"], eq.L_basis, - guess, + guess[:, 1] if guess is not None else None, tol, maxiter, full_output, @@ -270,7 +271,7 @@ def _distance_body(i, idx): # TODO: decide later whether to assume given phi instead of zeta. def _map_PEST_coordinates( - PEST_coords, + coords, L_lmn, L_basis, guess, @@ -283,7 +284,7 @@ def _map_PEST_coordinates( Parameters ---------- - PEST_coords : ndarray + coords : ndarray Shape (k, 3). Straight field line PEST coordinates [ρ, ϑ, ϕ]. Assumes ζ = ϕ. Each row is a different point in space. @@ -291,6 +292,9 @@ def _map_PEST_coordinates( Spectral coefficients for lambda. L_basis : Basis Spectral basis for lambda. + guess : jnp.ndarray + Shape (k, ). + Optional initial guess for the computational coordinates. tol : float Stopping tolerance. maxiter : int @@ -312,7 +316,7 @@ def _map_PEST_coordinates( Only returned if ``full_output`` is True. """ - rho, theta_PEST, zeta = PEST_coords.T + rho, theta_PEST, zeta = coords.T theta_PEST = theta_PEST % (2 * np.pi) # Assume λ=0 for initial guess. guess = setdefault(guess, theta_PEST) @@ -368,7 +372,7 @@ def fixup(x, *args): # TODO: decide later whether to assume given phi instead of zeta. def _map_clebsch_coordinates( - clebsch_coords, + coords, iota, L_lmn, L_basis, @@ -382,18 +386,19 @@ def _map_clebsch_coordinates( Parameters ---------- - clebsch_coords : ndarray + coords : ndarray Shape (k, 3). Clebsch field line coordinates [ρ, α, ζ]. Assumes ζ = ϕ. Each row is a different point in space. iota : ndarray - Shape (k, ) + Shape (k, ). Rotational transform on each node. L_lmn : jnp.ndarray Spectral coefficients for lambda. L_basis : Basis Spectral basis for lambda. - guess : ndarray, shape(k,3) + guess : jnp.ndarray + Shape (k, ). Optional initial guess for the computational coordinates. tol : float Stopping tolerance. @@ -416,7 +421,7 @@ def _map_clebsch_coordinates( Only returned if ``full_output`` is True. """ - rho, alpha, zeta = clebsch_coords.T + rho, alpha, zeta = coords.T if guess is None: # Assume λ=0 for initial guess. guess = (alpha + iota * zeta) % (2 * np.pi) @@ -516,7 +521,7 @@ def is_nested(eq, grid=None, R_lmn=None, Z_lmn=None, L_lmn=None, msg=None): jnp.sign(data["sqrt(g)_PEST"][0]) == jnp.sign(data["sqrt(g)_PEST"]) ) warnif( - not nested, + not nested and msg is not None, RuntimeWarning, "Flux surfaces are no longer nested, exiting early. " + { @@ -661,9 +666,6 @@ def get_rtz_grid( Equilibrium on which to perform coordinate mapping. radial : ndarray Sorted unique radial coordinates. - These coordinates are assumed to be a single variable function of rho. - Create a GitHub issue if you have a use-case where this assumption - cannot be made. poloidal : ndarray Sorted unique poloidal coordinates. toroidal : ndarray @@ -705,19 +707,24 @@ def get_rtz_grid( period=period, **kwargs, ) + idx = {} + if inbasis[coordinates[0]] == "rho": + # Should work as long as inbasis radial coordinate is + # single variable, monotonic increasing function of rho. + idx["_unique_rho_idx"] = grid.unique_rho_idx + idx["_inverse_rho_idx"] = grid.inverse_rho_idx desc_grid = Grid( nodes=rtz_nodes, coordinates="rtz", source_grid=grid, sort=False, jitable=jitable, - # Assumes that in basis radial coordinate is single variable function of rho. - _unique_rho_idx=grid.unique_rho_idx, - _inverse_rho_idx=grid.inverse_rho_idx, + **idx, ) return desc_grid +# TODO: deprecated, remove eventually def compute_theta_coords( eq, flux_coords, L_lmn=None, tol=1e-6, maxiter=20, full_output=False, **kwargs ): diff --git a/desc/equilibrium/equilibrium.py b/desc/equilibrium/equilibrium.py index c0bff9db1e..60efde70a5 100644 --- a/desc/equilibrium/equilibrium.py +++ b/desc/equilibrium/equilibrium.py @@ -1180,7 +1180,7 @@ def map_coordinates( Values of equilibrium parameters to use, e.g. ``eq.params_dict``. period : tuple of float Assumed periodicity for each quantity in ``inbasis``. - Use np.inf to denote no periodicity. + Use ``np.inf`` to denote no periodicity. tol : float Stopping tolerance. maxiter : int @@ -1258,8 +1258,7 @@ def compute_theta_coords( flux_coords, inbasis=("rho", "theta_PEST", "zeta"), outbasis=("rho", "theta", "zeta"), - params=setdefault({"L_lmn": L_lmn}, self.params_dict, L_lmn), - basis={"L_basis": self.L_basis}, + params=setdefault({"L_lmn": L_lmn}, self.params_dict, L_lmn is not None), tol=tol, maxiter=maxiter, full_output=full_output, diff --git a/desc/vmec.py b/desc/vmec.py index 47507ebd97..14c4d2346c 100644 --- a/desc/vmec.py +++ b/desc/vmec.py @@ -1751,7 +1751,9 @@ def compute_coord_surfaces(cls, equil, vmec_data, Nr=10, Nt=8, Nz=None, **kwargs # angle in PEST-like flux coordinates # find theta angles corresponding to desired theta* angles - v_grid = Grid(equil.compute_theta_coords(t_grid.nodes)) + v_grid = Grid( + equil.map_coordinates(t_grid.nodes, inbasis=("rho", "theta_PEST", "zeta")) + ) r_coords_desc = equil.compute(["R", "Z"], grid=r_grid) v_coords_desc = equil.compute(["R", "Z"], grid=v_grid) From 52e715337ed5c79dc31041f09cb00f24113e2a9f Mon Sep 17 00:00:00 2001 From: unalmis Date: Thu, 8 Aug 2024 22:25:22 -0400 Subject: [PATCH 70/74] Use simpler conditional --- desc/equilibrium/equilibrium.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/desc/equilibrium/equilibrium.py b/desc/equilibrium/equilibrium.py index 60efde70a5..41d205a595 100644 --- a/desc/equilibrium/equilibrium.py +++ b/desc/equilibrium/equilibrium.py @@ -1258,7 +1258,7 @@ def compute_theta_coords( flux_coords, inbasis=("rho", "theta_PEST", "zeta"), outbasis=("rho", "theta", "zeta"), - params=setdefault({"L_lmn": L_lmn}, self.params_dict, L_lmn is not None), + params=self.params_dict if L_lmn is None else {"L_lmn": L_lmn}, tol=tol, maxiter=maxiter, full_output=full_output, From bee9f546a87fd4f6007e1472c9719b7f7be1d5e9 Mon Sep 17 00:00:00 2001 From: daniel-dudt Date: Fri, 9 Aug 2024 08:51:44 -0600 Subject: [PATCH 71/74] repair plotting test --- desc/plotting.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/desc/plotting.py b/desc/plotting.py index 79e4344274..ba822a5b2b 100644 --- a/desc/plotting.py +++ b/desc/plotting.py @@ -2771,7 +2771,7 @@ def plot_boozer_surface( "theta": 91, "zeta": 91, "NFP": thing.NFP, - "endpoint": True, + "endpoint": eq_switch, } grid_plot = _get_grid(**grid_kwargs) From 32e39f1a19f41ca1a28867804df96446ac40113d Mon Sep 17 00:00:00 2001 From: daniel-dudt Date: Fri, 9 Aug 2024 08:54:04 -0600 Subject: [PATCH 72/74] simplify omnigenity compute funs --- desc/compute/_omnigenity.py | 40 +++++-------------------------------- 1 file changed, 5 insertions(+), 35 deletions(-) diff --git a/desc/compute/_omnigenity.py b/desc/compute/_omnigenity.py index 25b720dc9f..949ee9c21f 100644 --- a/desc/compute/_omnigenity.py +++ b/desc/compute/_omnigenity.py @@ -429,10 +429,10 @@ def _omni_angle(params, transforms, profiles, data, **kwargs): @register_compute_fun( name="theta_B", - label="(\\theta_{B},\\zeta_{B})", + label="\\theta_{B}", units="rad", units_long="radians", - description="Boozer angular coordinates", + description="Boozer poloidal angle", dim=1, params=[], transforms={}, @@ -477,49 +477,19 @@ def _omni_map_theta_B(params, transforms, profiles, data, **kwargs): @register_compute_fun( name="zeta_B", - label="(\\theta_{B},\\zeta_{B})", + label="\\zeta_{B}", units="rad", units_long="radians", - description="Boozer angular coordinates", + description="Boozer toroidal angle", dim=1, params=[], transforms={}, profiles=[], coordinates="rtz", - data=["alpha", "h"], + data=["theta_B"], parameterization="desc.magnetic_fields._core.OmnigenousField", - helicity="tuple: Type of quasisymmetry, (M,N). Default (1,0)", - iota="float: Value of rotational transform on the Omnigenous surface. Default 1.0", ) def _omni_map_zeta_B(params, transforms, profiles, data, **kwargs): - M, N = kwargs.get("helicity", (1, 0)) - iota = kwargs.get("iota", 1) - - # coordinate mapping matrix from (alpha,h) to (theta_B,zeta_B) - # need a bunch of wheres to avoid division by zero causing NaN in backward pass - # this is fine since the incorrect values get ignored later, except in OT or OH - # where fieldlines are exactly parallel to |B| contours, but this is a degenerate - # case of measure 0 so this kludge shouldn't affect things too much. - mat_OP = jnp.array( - [[N, iota / jnp.where(N == 0, 1, N)], [0, 1 / jnp.where(N == 0, 1, N)]] - ) - mat_OT = jnp.array([[0, -1], [M, -1 / jnp.where(iota == 0, 1.0, iota)]]) - den = jnp.where((N - M * iota) == 0, 1.0, (N - M * iota)) - mat_OH = jnp.array([[N, M * iota / den], [M, M / den]]) - matrix = jnp.where( - M == 0, - mat_OP, - jnp.where( - N == 0, - mat_OT, - mat_OH, - ), - ) - - # solve for (theta_B,zeta_B) corresponding to (eta,alpha) - booz = matrix @ jnp.vstack((data["alpha"], data["h"])) - data["theta_B"] = booz[0, :] - data["zeta_B"] = booz[1, :] return data From 1573297fd39efce074a306f1d70a376a7f7e5b76 Mon Sep 17 00:00:00 2001 From: unalmis Date: Fri, 9 Aug 2024 12:47:50 -0400 Subject: [PATCH 73/74] Update test_data_index for changes in #1000 and Revert changes to tesd_data_index from #1027 https://github.com/PlasmaControl/DESC/pull/1027/files/148d08d97cf6c08b922d0883700b2758dc9b000c#r1704624731 --- desc/compute/_omnigenity.py | 2 +- desc/compute/data_index.py | 7 +- tests/test_data_index.py | 222 ++++++++++++++++++------------------ 3 files changed, 119 insertions(+), 112 deletions(-) diff --git a/desc/compute/_omnigenity.py b/desc/compute/_omnigenity.py index 949ee9c21f..892800d48e 100644 --- a/desc/compute/_omnigenity.py +++ b/desc/compute/_omnigenity.py @@ -490,7 +490,7 @@ def _omni_map_theta_B(params, transforms, profiles, data, **kwargs): parameterization="desc.magnetic_fields._core.OmnigenousField", ) def _omni_map_zeta_B(params, transforms, profiles, data, **kwargs): - return data + return data # noqa: unused dependency @register_compute_fun( diff --git a/desc/compute/data_index.py b/desc/compute/data_index.py index cf0a32714e..de4ecf9314 100644 --- a/desc/compute/data_index.py +++ b/desc/compute/data_index.py @@ -176,10 +176,11 @@ def _decorator(func): if name in data_index[base_class]: if p == data_index[base_class][name]["parameterization"]: raise ValueError( - f"Already registered function with parameterization {p} and name {name}." + f"Already registered function with parameterization {p}" + f" and name {name}." ) - # if it was already registered from a parent class, we prefer - # the child class. + # if it was already registered from a parent class, we + # prefer the child class. inheritance_order = [base_class] + superclasses if inheritance_order.index(p) > inheritance_order.index( data_index[base_class][name]["parameterization"] diff --git a/tests/test_data_index.py b/tests/test_data_index.py index b582ff878c..ebb3df2479 100644 --- a/tests/test_data_index.py +++ b/tests/test_data_index.py @@ -11,121 +11,127 @@ from desc.utils import errorif -class TestDataIndex: - """Tests for things related to data_index.""" - - @staticmethod - def get_matches(fun, pattern): - """Return all matches of ``pattern`` in source code of function ``fun``.""" - src = inspect.getsource(fun) - # attempt to remove any decorator functions - # (currently works without this filter, but better to be defensive) +def _get_matches(fun, pattern, ignore_comments=True): + """Return all matches of ``pattern`` in source code of function ``fun``.""" + src = inspect.getsource(fun) + if ignore_comments: + # remove any decorator functions src = src.partition("def ")[2] - # attempt to remove comments + # remove comments src = "\n".join(line.partition("#")[0] for line in src.splitlines()) - matches = pattern.findall(src) - matches = {s.strip().strip('"') for s in matches} - return matches + matches = pattern.findall(src) + matches = {s.strip().strip('"') for s in matches} + return matches + + +def _get_parameterization(fun, default="desc.equilibrium.equilibrium.Equilibrium"): + """Get parameterization of thing computed by function ``fun``.""" + pattern = re.compile(r'parameterization=(?:\[([^]]+)]|"([^"]+)")') + decorator = inspect.getsource(fun).partition("def ")[0] + matches = pattern.findall(decorator) + # if list was found, split strings in list, else string was found so get that + matches = [match[0].split(",") if match[0] else [match[1]] for match in matches] + # flatten the list + matches = {s.strip().strip('"') for sublist in matches for s in sublist} + matches.discard("") + return matches if matches else {default} - @staticmethod - def get_parameterization(fun, default="desc.equilibrium.equilibrium.Equilibrium"): - """Get parameterization of thing computed by function ``fun``.""" - pattern = re.compile(r'parameterization=(?:\[([^]]+)]|"([^"]+)")') - decorator = inspect.getsource(fun).partition("def ")[0] - matches = pattern.findall(decorator) - # if list was found, split strings in list, else string was found so get that - matches = [match[0].split(",") if match[0] else [match[1]] for match in matches] - # flatten the list - matches = {s.strip().strip('"') for sublist in matches for s in sublist} - matches.discard("") - return matches if matches else {default} - @pytest.mark.unit - def test_data_index_deps(self): - """Ensure developers do not add extra (or forget needed) dependencies. +@pytest.mark.unit +def test_data_index_deps(): + """Ensure developers do not add extra (or forget needed) dependencies. - The regular expressions used in this test will fail to detect the data - dependencies in the source code of compute functions if the query to - the key in the data dictionary is split across multiple lines. - To avoid failing this test unnecessarily in this case, try to refactor - code by wrapping the query to the key in the data dictionary inside a - parenthesis. + The regular expressions used in this test will fail to detect the data + dependencies in the source code of compute functions if the query to + the key in the data dictionary is split across multiple lines. + To avoid failing this test unnecessarily in this case, try to refactor + code by wrapping the query to the key in the data dictionary inside a + parenthesis. - Examples - -------- - .. code-block:: python + Examples + -------- + .. code-block:: python - # Don't do this. - x_square = data[ - "x" - ] ** 2 - # Either do this - x_square = ( - data["x"] - ) ** 2 - # or do this - x_square = data["x"] ** 2 + # Don't do this. + x_square = data[ + "x" + ] ** 2 + # Either do this + x_square = ( + data["x"] + ) ** 2 + # or do this + x_square = data["x"] ** 2 - """ - queried_deps = {p: {} for p in _class_inheritance} + """ + queried_deps = {p: {} for p in _class_inheritance} - pattern_names = re.compile(r"(? inheritance_order.index( + data_index[base_class][register_name][ + "parameterization" + ] + ): + continue + queried_deps[base_class][register_name] = deps + aliases = data_index[base_class][register_name]["aliases"] + for alias in aliases: + queried_deps[base_class][alias] = deps - for p in data_index: - for name, val in data_index[p].items(): - err_msg = f"Parameterization: {p}. Name: {name}." - deps = val["dependencies"] - data = set(deps["data"]) - axis_limit_data = set(deps["axis_limit_data"]) - profiles = set(deps["profiles"]) - params = set(deps["params"]) - # assert no duplicate dependencies - assert len(data) == len(deps["data"]), err_msg - assert len(axis_limit_data) == len(deps["axis_limit_data"]), err_msg - assert data.isdisjoint(axis_limit_data), err_msg - assert len(profiles) == len(deps["profiles"]), err_msg - assert len(params) == len(deps["params"]), err_msg - # assert correct dependencies are queried - # TODO: conversion from rpz to xyz is taken out of actual function - # registration because of this data["phi"] is not queried in - # the source code but actually needed for the computation. This - # is a temporary fix until we have a better way to automatically - # handle this. - assert queried_deps[p][name]["data"].issubset( - data | axis_limit_data - ), err_msg - errorif( - name not in queried_deps[p], - AssertionError, - "Did you reuse the function name (i.e. def_...) for" - f" '{name}' for some other quantity?", - ) - assert queried_deps[p][name]["profiles"] == profiles, err_msg - assert queried_deps[p][name]["params"] == params, err_msg + for p in data_index: + for name, val in data_index[p].items(): + err_msg = f"Parameterization: {p}. Name: {name}." + deps = val["dependencies"] + data = set(deps["data"]) + axis_limit_data = set(deps["axis_limit_data"]) + profiles = set(deps["profiles"]) + params = set(deps["params"]) + # assert no duplicate dependencies + assert len(data) == len(deps["data"]), err_msg + assert len(axis_limit_data) == len(deps["axis_limit_data"]), err_msg + assert data.isdisjoint(axis_limit_data), err_msg + assert len(profiles) == len(deps["profiles"]), err_msg + assert len(params) == len(deps["params"]), err_msg + errorif( + name not in queried_deps[p], + AssertionError, + "Did you reuse the function name (i.e. def_...) for" + f" '{name}' for some other quantity?", + ) + # assert correct dependencies are queried + if not queried_deps[p][name]["ignore"]: + assert queried_deps[p][name]["data"] == data | axis_limit_data, err_msg + assert queried_deps[p][name]["profiles"] == profiles, err_msg + assert queried_deps[p][name]["params"] == params, err_msg From 8ea83c688e6a95bfc39a1456835c85d72ccd4e53 Mon Sep 17 00:00:00 2001 From: unalmis Date: Fri, 9 Aug 2024 14:01:51 -0400 Subject: [PATCH 74/74] Cosmetic change to reduce duplicate code --- desc/compute/_geometry.py | 63 ++++----------------------------------- 1 file changed, 6 insertions(+), 57 deletions(-) diff --git a/desc/compute/_geometry.py b/desc/compute/_geometry.py index d4e8e7ff0e..5e38a5c89b 100644 --- a/desc/compute/_geometry.py +++ b/desc/compute/_geometry.py @@ -625,32 +625,14 @@ def _curvature_k1_rho(params, transforms, profiles, data, **kwargs): transforms={}, profiles=[], coordinates="rtz", - data=["g_tt", "g_tz", "g_zz", "L_sff_rho", "M_sff_rho", "N_sff_rho"], + data=["curvature_k1_rho"], parameterization=[ "desc.equilibrium.equilibrium.Equilibrium", "desc.geometry.surface.FourierRZToroidalSurface", ], ) def _curvature_k2_rho(params, transforms, profiles, data, **kwargs): - # following notation from - # https://en.wikipedia.org/wiki/Parametric_surface - E = data["g_tt"] - F = data["g_tz"] - G = data["g_zz"] - L = data["L_sff_rho"] - M = data["M_sff_rho"] - N = data["N_sff_rho"] - a = E * G - F**2 - b = 2 * F * M - L * G - E * N - c = L * N - M**2 - r1 = (-b + jnp.sqrt(b**2 - 4 * a * c)) / (2 * a) - r2 = (-b - jnp.sqrt(b**2 - 4 * a * c)) / (2 * a) - # In the axis limit, the matrix of the first fundamental form is singular. - # The diagonal of the shape operator becomes unbounded, - # so the eigenvalues do not exist. - data["curvature_k1_rho"] = jnp.maximum(r1, r2) - data["curvature_k2_rho"] = jnp.minimum(r1, r2) - return data + return data # noqa: unused dependency @register_compute_fun( @@ -804,25 +786,10 @@ def _curvature_k1_theta(params, transforms, profiles, data, **kwargs): transforms={}, profiles=[], coordinates="rtz", - data=["g_rr", "g_rz", "g_zz", "L_sff_theta", "M_sff_theta", "N_sff_theta"], + data=["curvature_k1_theta"], ) def _curvature_k2_theta(params, transforms, profiles, data, **kwargs): - # following notation from - # https://en.wikipedia.org/wiki/Parametric_surface - E = data["g_zz"] - F = data["g_rz"] - G = data["g_rr"] - L = data["L_sff_theta"] - M = data["M_sff_theta"] - N = data["N_sff_theta"] - a = E * G - F**2 - b = 2 * F * M - L * G - E * N - c = L * N - M**2 - r1 = (-b + jnp.sqrt(b**2 - 4 * a * c)) / (2 * a) - r2 = (-b - jnp.sqrt(b**2 - 4 * a * c)) / (2 * a) - data["curvature_k1_theta"] = jnp.maximum(r1, r2) - data["curvature_k2_theta"] = jnp.minimum(r1, r2) - return data + return data # noqa: unused dependency @register_compute_fun( @@ -989,32 +956,14 @@ def _curvature_k1_zeta(params, transforms, profiles, data, **kwargs): transforms={}, profiles=[], coordinates="rtz", - data=["g_rr", "g_rt", "g_tt", "L_sff_zeta", "M_sff_zeta", "N_sff_zeta"], + data=["curvature_k1_zeta"], parameterization=[ "desc.equilibrium.equilibrium.Equilibrium", "desc.geometry.surface.ZernikeRZToroidalSection", ], ) def _curvature_k2_zeta(params, transforms, profiles, data, **kwargs): - # following notation from - # https://en.wikipedia.org/wiki/Parametric_surface - E = data["g_rr"] - F = data["g_rt"] - G = data["g_tt"] - L = data["L_sff_zeta"] - M = data["M_sff_zeta"] - N = data["N_sff_zeta"] - a = E * G - F**2 - b = 2 * F * M - L * G - E * N - c = L * N - M**2 - r1 = (-b + jnp.sqrt(b**2 - 4 * a * c)) / (2 * a) - r2 = (-b - jnp.sqrt(b**2 - 4 * a * c)) / (2 * a) - # In the axis limit, the matrix of the first fundamental form is singular. - # The diagonal of the shape operator becomes unbounded, - # so the eigenvalues do not exist. - data["curvature_k1_zeta"] = jnp.maximum(r1, r2) - data["curvature_k2_zeta"] = jnp.minimum(r1, r2) - return data + return data # noqa: unused dependency @register_compute_fun(

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Unless +otherwise specified or implied by the variable name, these partial derivatives are +the partial derivatives of the DESC coordinate system. For example, ``|B|_z`` is +:math:`(\partial\vertB\vert / \partial\zeta)|_{\rho, \theta}`. + """ block = """ From fae2c2f1a4d33a1101903ff312877dc7480b5864 Mon Sep 17 00:00:00 2001 From: unalmis Date: Sun, 21 Jul 2024 13:50:00 -0400 Subject: [PATCH 47/74] Add resolution requirement to <|grad(rho)|> to match `ripple` branch --- desc/compute/_metric.py | 1 + desc/compute/data_index.py | 6 +++++- docs/adding_compute_funs.rst | 7 +++++++ tests/inputs/master_compute_data_rpz.pkl | Bin 7992447 -> 7992450 bytes tests/inputs/master_compute_data_xyz.pkl | Bin 7917203 -> 7917206 bytes 5 files changed, 13 insertions(+), 1 deletion(-) diff --git a/desc/compute/_metric.py b/desc/compute/_metric.py index f2405b3f9a..0894b8c927 100644 --- a/desc/compute/_metric.py +++ b/desc/compute/_metric.py @@ -1810,6 +1810,7 @@ def _gradrho(params, transforms, profiles, data, **kwargs): coordinates="r", data=["|grad(rho)|", "sqrt(g)"], axis_limit_data=["sqrt(g)_r"], + resolution_requirement="tz", ) def _gradrho_norm_fsa(params, transforms, profiles, data, **kwargs): data["<|grad(rho)|>"] = surface_averages( diff --git a/desc/compute/data_index.py b/desc/compute/data_index.py index bfd408487c..cf0a32714e 100644 --- a/desc/compute/data_index.py +++ b/desc/compute/data_index.py @@ -105,7 +105,11 @@ def register_compute_fun( # noqa: C901 or `'desc.equilibrium.Equilibrium'`. resolution_requirement : str Resolution requirements in coordinates. I.e. "r" expects radial resolution - in the grid, "rtz" expects a grid with radial, poloidal, and toroidal resolution. + in the grid. Likewise, "rtz" is shorthand for "rho, theta, zeta" and indicates + the computation expects a grid with radial, poloidal, and toroidal resolution. + If the computation simply performs pointwise operations, instead of a + reduction (such as integration) over a coordinate, then an empty string may + be used to indicate no requirements. source_grid_requirement : dict Attributes of the source grid that the compute function requires. Also assumes dependencies were computed on such a grid. diff --git a/docs/adding_compute_funs.rst b/docs/adding_compute_funs.rst index 66e3c2c047..a1dcad35b3 100644 --- a/docs/adding_compute_funs.rst +++ b/docs/adding_compute_funs.rst @@ -27,6 +27,7 @@ The full code is below: coordinates="rtz", data=["sqrt(g)", "B_zeta_t", "B_theta_z"], axis_limit_data=["sqrt(g)_r", "B_zeta_rt", "B_theta_rz"], + resolution_requirement="", parameterization="desc.equilibrium.equilibrium.Equilibrium", ) def _J_sup_rho(params, transforms, profiles, data, **kwargs): @@ -96,6 +97,12 @@ metadata about the quantity. The necessary fields are detailed below: the quantities mentioned above to evaluate the magnetic axis limit. These dependencies are specified in ``axis_limit_data``. The dependencies specified in this list are marked to be computed only when there is a node at the magnetic axis. +* ``resolution_requirement``: Resolution requirements in coordinates. + I.e. "r" expects radial resolution in the grid. Likewise, "rtz" is shorthand for + "rho, theta, zeta" and indicates the computation expects a grid with radial, + poloidal, and toroidal resolution. If the computation simply performs + pointwise operations, instead of a reduction (such as integration) over a + coordinate, then an empty string may be used to indicate no requirements. * ``parameterization``: what sorts of DESC objects is this function for. Most functions will just be for ``Equilibrium``, but some methods may also be for ``desc.geometry.core.Curve``, or specific types eg ``desc.geometry.curve.FourierRZCurve``. 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z(X(7+#IyAx89t~7&X$&w;aLG}f%o*#)@H;BV{0?w9JtjPal-r?GU5WBFBSCk+cM&q z6S%!(c!b^|4^BhVvO-UPggiJA(o!BAGcR8}TSM7(rz!9bdb{j**MR>%@tvS&H~p$Y z|0s!X5)dUD=!tRy^h9AkJy8r#PZVU+lfBdS+Y;Y)-EW!r7O<^Ie9K75ZERKI+t#6Z z;#KTqV9`oHnmb!HGW7EfU`{Vibvz_?D5OyK{@gw+zUAHTc6PzKK}! ztLVut@g1Z$Qo5V!f3Qz?Q;o}XH?@*eMNh3tcTe_l$Z=QKVmA8m0hp&&Qru`@59)cI z+9A7*iSN{~n$X)xar5PsXSZ=9r^GgH__A*VzWh-V-RS|)?Y)^@68^7ycX*UxUi7Tc-{9g! zX5P}pYyEi#Le^UEjsv&ayCclM!MhXi+`FSE7vA09m5)FC|IDMK4!7;t$tOx2ygM42 zygPdOBY1a2$baMA;mXxNxi<87cJXim|B=o%kd(;9qbG9l=!slBdLkE(p2)?cr`vb& z?7H95#S^ftaPefMPF=itdUh^l4nL}Zev88a2V1XJ`gwAPTl;x3;O+Q%a#yvVr_g$9 zKM&7)kc%hx_>C@}-0L^Gc%qjp7f;4{J1(A#*v`e1k=@$GlL7yqyLjjpUFf;e;>$ShTLzVJv%-5NK=7sVO_>swiOQ8{kGLD-n-bzjIQA9x=Fn=qs98#-n? zy{;3hslrzI+4?T1Nl9P12y7{!Uu1KwHxZ5@l{4!{}I+${!!PY6S6ulkVdoNuh+e= mP|tx_kL`8)InoWg@Dz8__BuU_+EKS(VD13EZ`3{D|9=3Jxu!<| From 7c695f0c867e3f481c43fcc692e0d17c6afce33a Mon Sep 17 00:00:00 2001 From: unalmis Date: Sun, 21 Jul 2024 23:36:33 -0400 Subject: [PATCH 48/74] Fix latex rendering issue in list of variables --- docs/write_variables.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/write_variables.py b/docs/write_variables.py index eaad47f8ea..13b15b9061 100644 --- a/docs/write_variables.py +++ b/docs/write_variables.py @@ -81,8 +81,8 @@ def write_csv(parameterization): Our convention to denote partial derivatives is an underscore followed by the first letter of the coordinate that the partial derivative is taken with respect to. Unless otherwise specified or implied by the variable name, these partial derivatives are -the partial derivatives of the DESC coordinate system. For example, ``|B|_z`` is -:math:`(\partial\vertB\vert / \partial\zeta)|_{\rho, \theta}`. +those of the DESC :math:`\rho, \theta, \zeta` coordinate system. For example, ``|B|_z`` +is :math:`(\partial \vert B \vert / \partial\zeta)|_{\rho, \theta}`. """ From 27833462dc94fc7b0b4a79490e5615e87b449041 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Mon, 22 Jul 2024 11:45:33 -0400 Subject: [PATCH 49/74] cleanup changelog --- CHANGELOG.md | 6 ------ 1 file changed, 6 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index 7d286b9c5d..d96de88b4d 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -3,12 +3,6 @@ Changelog New Features -- Add method ``from_values`` to ``FourierRZCurve`` to allow fitting of data points -to a ``FourierRZCurve`` object, and ``to_FourierRZCurve`` methods to ``Curve`` class. -- Add the objective `CoilsetMinDistance`, which returns the minimum distance to another -coil for each coil in a coilset. -- Add the objective `PlasmaCoilsetMinDistance`, which returns the minimum distance to the -plasma surface for each coil in a coilset. - Add ``use_signed_distance`` flag to ``PlasmaVesselDistance`` which will use a signed distance as the target, which is positive when the plasma is inside of the vessel surface and negative if the plasma is outside of the vessel surface, to allow optimizer to distinguish if the equilbrium surface exits the vessel surface and guard against it by targeting a positive signed distance. - Add utility function ``check_if_points_are_inside_perimeter`` to ``desc.objectives.utils`` which will check whether a given set of points is inside of a given perimeter. From 86155fd3beb60141ed8daad150396f6a2898c42a Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Tue, 23 Jul 2024 09:30:05 -0400 Subject: [PATCH 50/74] remove unneeded line --- desc/objectives/_geometry.py | 1 - desc/objectives/utils.py | 2 +- 2 files changed, 1 insertion(+), 2 deletions(-) diff --git a/desc/objectives/_geometry.py b/desc/objectives/_geometry.py index 48927de63c..f72e9f7605 100644 --- a/desc/objectives/_geometry.py +++ b/desc/objectives/_geometry.py @@ -855,7 +855,6 @@ def fun(plasma_pts_at_zeta_plane, surface_pts_at_zeta_plane): (plasma_pts_at_zeta_plane, plasma_pts_at_zeta_plane[0, :]) ) - surface_pts_at_zeta_plane pt_sign = check_if_points_are_inside_perimeter( plasma_pts_at_zeta_plane[:, 0], plasma_pts_at_zeta_plane[:, 2], diff --git a/desc/objectives/utils.py b/desc/objectives/utils.py index 6a5d4b74bc..27a8d30b37 100644 --- a/desc/objectives/utils.py +++ b/desc/objectives/utils.py @@ -320,7 +320,7 @@ def check_if_points_are_inside_perimeter(R, Z, Rcheck, Zcheck): R,Z : ndarray 1-D arrays of coordinates of the points defining the polygonal perimeter. The function will determine if the check point is inside - or outside of this perimeter. + or outside of this perimeter. These should form a closed curve. Rcheck, Zcheck : ndarray coordinates of the points being checked if they are inside or outside of the given perimeter. From a0b7fa70eb00f501c51ae45ca160260e85da759b Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Tue, 23 Jul 2024 20:17:02 -0400 Subject: [PATCH 51/74] update changelog --- CHANGELOG.md | 2 -- 1 file changed, 2 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index d96de88b4d..3a39eedf98 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -4,8 +4,6 @@ Changelog New Features - Add ``use_signed_distance`` flag to ``PlasmaVesselDistance`` which will use a signed distance as the target, which is positive when the plasma is inside of the vessel surface and negative if the plasma is outside of the vessel surface, to allow optimizer to distinguish if the equilbrium surface exits the vessel surface and guard against it by targeting a positive signed distance. -- Add utility function ``check_if_points_are_inside_perimeter`` to ``desc.objectives.utils`` which will check whether a given set -of points is inside of a given perimeter. v0.12.0 From 76fa5bf6853020fb13503c52306a505876a5d9e3 Mon Sep 17 00:00:00 2001 From: unalmis Date: Fri, 26 Jul 2024 14:54:17 -0400 Subject: [PATCH 52/74] Add map_clebsch_coords --- desc/equilibrium/coords.py | 155 ++++++++++++++++++++++++++++++++----- 1 file changed, 136 insertions(+), 19 deletions(-) diff --git a/desc/equilibrium/coords.py b/desc/equilibrium/coords.py index 33d2bfd497..34d7c5846b 100644 --- a/desc/equilibrium/coords.py +++ b/desc/equilibrium/coords.py @@ -11,7 +11,7 @@ from desc.compute import data_index, get_data_deps, get_profiles, get_transforms from desc.grid import ConcentricGrid, Grid, LinearGrid, QuadratureGrid from desc.transform import Transform -from desc.utils import setdefault +from desc.utils import parse_argname_change, setdefault def map_coordinates( # noqa: C901 @@ -162,6 +162,10 @@ def fixup(y, *args): vecroot = jit( vmap(lambda x0, *p: root(residual, x0, jac=jac, args=p, fixup=fixup, **kwargs)) ) + # See description here + # https://github.com/PlasmaControl/DESC/pull/504#discussion_r1194172532 + # except we make sure properly mod the function on which the root finding is + # done to handle periodic coordinates. yk, (res, niter) = vecroot(yk, coords) out = compute(yk, outbasis) @@ -231,24 +235,27 @@ def _distance_body(i, idx): return yg[idx] -def compute_theta_coords( - eq, flux_coords, L_lmn=None, tol=1e-6, maxiter=20, full_output=False, **kwargs +def compute_theta_coords( # TODO: change name to map_sfl_coords. + eq, sfl_coords, L_lmn=None, tol=1e-6, maxiter=20, full_output=False, **kwargs ): - """Find theta_DESC for given straight field line theta_PEST. + """Find θ (theta_DESC) for given straight field line ϑ (theta_PEST). + + Assumes ζ = ϕ. Parameters ---------- eq : Equilibrium - Equilibrium to use - flux_coords : ndarray, shape(k,3) - 2d array of flux coordinates [rho,theta*,zeta]. Each row is a different - point in space. + Equilibrium to use. + sfl_coords : ndarray + Shape (k, 3). + Straight field line PEST coordinates [ρ, ϑ, ϕ]. + Each row is a different point in space. L_lmn : ndarray - spectral coefficients for lambda. Defaults to eq.L_lmn + Spectral coefficients for lambda. Defaults to those of the equilibrium. tol : float Stopping tolerance. maxiter : int > 0 - maximum number of Newton iterations + Maximum number of Newton iterations. full_output : bool, optional If True, also return a tuple where the first element is the residual from the root finding and the second is the number of iterations. @@ -258,18 +265,22 @@ def compute_theta_coords( Returns ------- - coords : ndarray, shape(k,3) - coordinates [rho,theta,zeta]. + coords : ndarray + Shape (k, 3). + DESC computational coordinates [ρ, θ, ζ]. info : tuple - 2 element tuple containing residuals and number of iterations - for each point. Only returned if ``full_output`` is True + 2 element tuple containing residuals and number of iterations for each point. + Only returned if ``full_output`` is True. """ + parse_argname_change( + sfl_coords, kwargs, oldname="flux_coords", newname="sfl_coords" + ) kwargs.setdefault("maxiter", maxiter) kwargs.setdefault("tol", tol) if L_lmn is None: L_lmn = eq.L_lmn - rho, theta_star, zeta = flux_coords.T + rho, theta_PEST, zeta = sfl_coords.T def rootfun(theta_DESC, theta_PEST, rho, zeta): nodes = jnp.atleast_2d( @@ -277,14 +288,15 @@ def rootfun(theta_DESC, theta_PEST, rho, zeta): ) A = eq.L_basis.evaluate(nodes) lmbda = A @ L_lmn - theta_PESTk = theta_DESC + lmbda - r = (theta_PESTk % (2 * np.pi)) - (theta_PEST % (2 * np.pi)) - # r should be between -pi and pi + theta_PEST_k = (theta_DESC + lmbda) % (2 * np.pi) + r = theta_PEST_k - theta_PEST + # r should be between -pi and pi to minimize |r| r = jnp.where(r > np.pi, r - 2 * np.pi, r) r = jnp.where(r < -np.pi, r + 2 * np.pi, r) return r.squeeze() def jacfun(theta_DESC, theta_PEST, rho, zeta): + # Valid everywhere except θ such that θ+λ = k 2π where k ∈ ℤ. nodes = jnp.atleast_2d( jnp.array([rho.squeeze(), theta_DESC.squeeze(), zeta.squeeze()]) ) @@ -302,7 +314,7 @@ def fixup(x, *args): ) ) ) - theta_DESC, (res, niter) = vecroot(theta_star, theta_star, rho, zeta) + theta_DESC, (res, niter) = vecroot(theta_PEST, theta_PEST % (2 * np.pi), rho, zeta) nodes = jnp.array([rho, jnp.atleast_1d(theta_DESC.squeeze()), zeta]).T @@ -312,6 +324,111 @@ def fixup(x, *args): return out +def map_clebsch_coords( + eq, + clebsch_coords, + iota, + L_lmn=None, + tol=1e-6, + maxiter=20, + full_output=False, + **kwargs, +): + """Find θ for given Clebsch field line poloidal label α. + + Assumes ζ = ϕ. + + Parameters + ---------- + eq : Equilibrium + Equilibrium to use. + clebsch_coords : ndarray + Shape (k, 3). + Clebsch field line coordinates [ρ, α, ζ]. + Each row is a different point in space. + iota : ndarray + Shape (k, ) + Rotational transform on each node. + L_lmn : ndarray + Spectral coefficients for lambda. Defaults to those of the equilibrium. + tol : float + Stopping tolerance. + maxiter : int > 0 + Maximum number of Newton iterations. + full_output : bool, optional + If True, also return a tuple where the first element is the residual from + the root finding and the second is the number of iterations. + kwargs : dict, optional + Additional keyword arguments to pass to ``root_scalar`` such as ``maxiter_ls``, + ``alpha``. + + Returns + ------- + coords : ndarray + Shape (k, 3). + DESC computational coordinates [ρ, θ, ζ]. + info : tuple + 2 element tuple containing residuals and number of iterations for each point. + Only returned if ``full_output`` is True. + """ + kwargs.setdefault("maxiter", maxiter) + kwargs.setdefault("tol", tol) + + kwargs.setdefault("maxiter", maxiter) + kwargs.setdefault("tol", tol) + + if L_lmn is None: + L_lmn = eq.L_lmn + rho, alpha, zeta = clebsch_coords.T + alpha = alpha % (2 * np.pi) + + # Root finding for θₖ such that r(θₖ) = αₖ(ρ, θₖ, ζ) − α = 0. + def rootfun(theta, alpha, rho, zeta, iota): + nodes = jnp.atleast_2d( + jnp.array([rho.squeeze(), theta.squeeze(), zeta.squeeze()]) + ) + A = eq.L_basis.evaluate(nodes) + lmbda = A @ L_lmn + # TODO: generalize for toroidal angle + alpha_k = ((theta + lmbda) % (2 * np.pi) - iota * zeta) % (2 * np.pi) + r = alpha_k - alpha + # r should be between -pi and pi to minimize |r| + r = jnp.where(r > np.pi, r - 2 * np.pi, r) + r = jnp.where(r < -np.pi, r + 2 * np.pi, r) + return r.squeeze() + + def jacfun(theta, alpha, rho, zeta, iota): + # Valid everywhere except θ such that θ+λ = k 2π where k ∈ ℤ. + nodes = jnp.atleast_2d( + jnp.array([rho.squeeze(), theta.squeeze(), zeta.squeeze()]) + ) + A1 = eq.L_basis.evaluate(nodes, (0, 1, 0)) + lmbda_t = jnp.dot(A1, L_lmn) + return 1 + lmbda_t.squeeze() + + def fixup(x, *args): + return x % (2 * np.pi) + + vecroot = jit( + vmap( + lambda x0, *p: root_scalar( + rootfun, x0, jac=jacfun, args=p, fixup=fixup, **kwargs + ) + ) + ) + # Assume λ is small for initial guess. + theta, (res, niter) = vecroot( + (alpha + iota * zeta) % (2 * np.pi), alpha, rho, zeta, iota + ) + + nodes = jnp.array([rho, jnp.atleast_1d(theta.squeeze()), zeta]).T + + out = nodes + if full_output: + return out, (res, niter) + return out + + def is_nested(eq, grid=None, R_lmn=None, Z_lmn=None, L_lmn=None, msg=None): """Check that an equilibrium has properly nested flux surfaces in a plane. From e5609e7518bd110bff48d9cf48d7b8bb3efed8d6 Mon Sep 17 00:00:00 2001 From: unalmis Date: Fri, 26 Jul 2024 19:31:41 -0400 Subject: [PATCH 53/74] Add failing test --- desc/equilibrium/coords.py | 46 +++++++--------- desc/equilibrium/equilibrium.py | 96 ++++++++++++++++++++++++++++----- tests/test_equilibrium.py | 6 +++ 3 files changed, 109 insertions(+), 39 deletions(-) diff --git a/desc/equilibrium/coords.py b/desc/equilibrium/coords.py index 34d7c5846b..f7f97579ef 100644 --- a/desc/equilibrium/coords.py +++ b/desc/equilibrium/coords.py @@ -11,7 +11,7 @@ from desc.compute import data_index, get_data_deps, get_profiles, get_transforms from desc.grid import ConcentricGrid, Grid, LinearGrid, QuadratureGrid from desc.transform import Transform -from desc.utils import parse_argname_change, setdefault +from desc.utils import setdefault def map_coordinates( # noqa: C901 @@ -44,20 +44,20 @@ def map_coordinates( # noqa: C901 inbasis, outbasis : tuple of str Labels for input and output coordinates, eg ("R", "phi", "Z") or ("rho", "alpha", "zeta") or any combination thereof. Labels should be the - same as the compute function data key + same as the compute function data key. guess : None or ndarray, shape(k,3) Initial guess for the computational coordinates ['rho', 'theta', 'zeta'] corresponding to coords in inbasis. If None, heuristics are used based on inbasis or a nearest neighbor search on a grid. params : dict - Values of equilibrium parameters to use, eg eq.params_dict + Values of equilibrium parameters to use, e.g. ``eq.params_dict``. period : tuple of float Assumed periodicity for each quantity in inbasis. Use np.inf to denote no periodicity. tol : float Stopping tolerance. maxiter : int > 0 - Maximum number of Newton iterations + Maximum number of Newton iterations. full_output : bool, optional If True, also return a tuple where the first element is the residual from the root finding and the second is the number of iterations. @@ -164,8 +164,7 @@ def fixup(y, *args): ) # See description here # https://github.com/PlasmaControl/DESC/pull/504#discussion_r1194172532 - # except we make sure properly mod the function on which the root finding is - # done to handle periodic coordinates. + # except we make sure properly handle periodic coordinates. yk, (res, niter) = vecroot(yk, coords) out = compute(yk, outbasis) @@ -235,20 +234,18 @@ def _distance_body(i, idx): return yg[idx] -def compute_theta_coords( # TODO: change name to map_sfl_coords. - eq, sfl_coords, L_lmn=None, tol=1e-6, maxiter=20, full_output=False, **kwargs +def compute_theta_coords( + eq, flux_coords, L_lmn=None, tol=1e-6, maxiter=20, full_output=False, **kwargs ): """Find θ (theta_DESC) for given straight field line ϑ (theta_PEST). - Assumes ζ = ϕ. - Parameters ---------- eq : Equilibrium Equilibrium to use. - sfl_coords : ndarray + flux_coords : ndarray Shape (k, 3). - Straight field line PEST coordinates [ρ, ϑ, ϕ]. + Straight field line PEST coordinates [ρ, ϑ, ϕ]. Assumes ζ = ϕ. Each row is a different point in space. L_lmn : ndarray Spectral coefficients for lambda. Defaults to those of the equilibrium. @@ -271,17 +268,17 @@ def compute_theta_coords( # TODO: change name to map_sfl_coords. info : tuple 2 element tuple containing residuals and number of iterations for each point. Only returned if ``full_output`` is True. + """ - parse_argname_change( - sfl_coords, kwargs, oldname="flux_coords", newname="sfl_coords" - ) kwargs.setdefault("maxiter", maxiter) kwargs.setdefault("tol", tol) if L_lmn is None: L_lmn = eq.L_lmn - rho, theta_PEST, zeta = sfl_coords.T + rho, theta_PEST, zeta = flux_coords.T + theta_PEST = theta_PEST % (2 * np.pi) + # Root finding for θₖ such that r(θₖ) = ϑₖ(ρ, θₖ, ζ) − ϑ = 0. def rootfun(theta_DESC, theta_PEST, rho, zeta): nodes = jnp.atleast_2d( jnp.array([rho.squeeze(), theta_DESC.squeeze(), zeta.squeeze()]) @@ -290,7 +287,7 @@ def rootfun(theta_DESC, theta_PEST, rho, zeta): lmbda = A @ L_lmn theta_PEST_k = (theta_DESC + lmbda) % (2 * np.pi) r = theta_PEST_k - theta_PEST - # r should be between -pi and pi to minimize |r| + # r should be between -pi and pi r = jnp.where(r > np.pi, r - 2 * np.pi, r) r = jnp.where(r < -np.pi, r + 2 * np.pi, r) return r.squeeze() @@ -314,7 +311,8 @@ def fixup(x, *args): ) ) ) - theta_DESC, (res, niter) = vecroot(theta_PEST, theta_PEST % (2 * np.pi), rho, zeta) + # Assume λ=0 for initial guess. + theta_DESC, (res, niter) = vecroot(theta_PEST, theta_PEST, rho, zeta) nodes = jnp.array([rho, jnp.atleast_1d(theta_DESC.squeeze()), zeta]).T @@ -336,15 +334,13 @@ def map_clebsch_coords( ): """Find θ for given Clebsch field line poloidal label α. - Assumes ζ = ϕ. - Parameters ---------- eq : Equilibrium Equilibrium to use. clebsch_coords : ndarray Shape (k, 3). - Clebsch field line coordinates [ρ, α, ζ]. + Clebsch field line coordinates [ρ, α, ζ]. Assumes ζ = ϕ. Each row is a different point in space. iota : ndarray Shape (k, ) @@ -370,10 +366,8 @@ def map_clebsch_coords( info : tuple 2 element tuple containing residuals and number of iterations for each point. Only returned if ``full_output`` is True. - """ - kwargs.setdefault("maxiter", maxiter) - kwargs.setdefault("tol", tol) + """ kwargs.setdefault("maxiter", maxiter) kwargs.setdefault("tol", tol) @@ -392,7 +386,7 @@ def rootfun(theta, alpha, rho, zeta, iota): # TODO: generalize for toroidal angle alpha_k = ((theta + lmbda) % (2 * np.pi) - iota * zeta) % (2 * np.pi) r = alpha_k - alpha - # r should be between -pi and pi to minimize |r| + # r should be between -pi and pi r = jnp.where(r > np.pi, r - 2 * np.pi, r) r = jnp.where(r < -np.pi, r + 2 * np.pi, r) return r.squeeze() @@ -416,7 +410,7 @@ def fixup(x, *args): ) ) ) - # Assume λ is small for initial guess. + # Assume λ=0 for initial guess. theta, (res, niter) = vecroot( (alpha + iota * zeta) % (2 * np.pi), alpha, rho, zeta, iota ) diff --git a/desc/equilibrium/equilibrium.py b/desc/equilibrium/equilibrium.py index 22d5947d1a..bc103026b7 100644 --- a/desc/equilibrium/equilibrium.py +++ b/desc/equilibrium/equilibrium.py @@ -48,12 +48,19 @@ copy_coeffs, errorif, only1, + parse_argname_change, setdefault, warnif, ) from ..compute.data_index import is_0d_vol_grid, is_1dr_rad_grid, is_1dz_tor_grid -from .coords import compute_theta_coords, is_nested, map_coordinates, to_sfl +from .coords import ( + compute_theta_coords, + is_nested, + map_clebsch_coords, + map_coordinates, + to_sfl, +) from .initial_guess import set_initial_guess from .utils import parse_axis, parse_profile, parse_surface @@ -1219,21 +1226,20 @@ def map_coordinates( # noqa: C901 def compute_theta_coords( self, flux_coords, L_lmn=None, tol=1e-6, maxiter=20, full_output=False, **kwargs ): - """Find theta_DESC for given straight field line theta_PEST. + """Find θ (theta_DESC) for given straight field line ϑ (theta_PEST). Parameters ---------- - eq : Equilibrium - Equilibrium to use - flux_coords : ndarray, shape(k,3) - 2d array of flux coordinates [rho,theta*,zeta]. Each row is a different - point in space. + flux_coords : ndarray + Shape (k, 3). + Straight field line PEST coordinates [ρ, ϑ, ϕ]. Assumes ζ = ϕ. + Each row is a different point in space. L_lmn : ndarray - spectral coefficients for lambda. Defaults to eq.L_lmn + Spectral coefficients for lambda. Defaults to those of the equilibrium. tol : float Stopping tolerance. maxiter : int > 0 - maximum number of Newton iterations + Maximum number of Newton iterations. full_output : bool, optional If True, also return a tuple where the first element is the residual from the root finding and the second is the number of iterations. @@ -1243,12 +1249,17 @@ def compute_theta_coords( Returns ------- - coords : ndarray, shape(k,3) - coordinates [rho,theta,zeta]. + coords : ndarray + Shape (k, 3). + DESC computational coordinates [ρ, θ, ζ]. info : tuple - 2 element tuple containing residuals and number of iterations - for each point. Only returned if ``full_output`` is True + 2 element tuple containing residuals and number of iterations for each + point. Only returned if ``full_output`` is True. + """ + flux_coords = parse_argname_change( + flux_coords, kwargs, oldname="flux_coords", newname="sfl_coords" + ) return compute_theta_coords( self, flux_coords, @@ -1259,6 +1270,65 @@ def compute_theta_coords( **kwargs, ) + def map_clebsch_coords( + self, + clebsch_coords, + iota, + L_lmn=None, + tol=1e-6, + maxiter=20, + full_output=False, + **kwargs, + ): + """Find θ for given Clebsch field line poloidal label α. + + Assumes ζ = ϕ. + + Parameters + ---------- + eq : Equilibrium + Equilibrium to use. + clebsch_coords : ndarray + Shape (k, 3). + Clebsch field line coordinates [ρ, α, ζ]. + Each row is a different point in space. + iota : ndarray + Shape (k, ) + Rotational transform on each node. + L_lmn : ndarray + Spectral coefficients for lambda. Defaults to those of the equilibrium. + tol : float + Stopping tolerance. + maxiter : int > 0 + Maximum number of Newton iterations. + full_output : bool, optional + If True, also return a tuple where the first element is the residual from + the root finding and the second is the number of iterations. + kwargs : dict, optional + Additional keyword arguments to pass to ``root_scalar`` such as + ``maxiter_ls``, ``alpha``. + + Returns + ------- + coords : ndarray + Shape (k, 3). + DESC computational coordinates [ρ, θ, ζ]. + info : tuple + 2 element tuple containing residuals and number of iterations for each + point. Only returned if ``full_output`` is True. + + """ + return map_clebsch_coords( + self, + clebsch_coords, + iota, + L_lmn=L_lmn, + maxiter=maxiter, + tol=tol, + full_output=full_output, + **kwargs, + ) + @execute_on_cpu def is_nested(self, grid=None, R_lmn=None, Z_lmn=None, L_lmn=None, msg=None): """Check that an equilibrium has properly nested flux surfaces in a plane. diff --git a/tests/test_equilibrium.py b/tests/test_equilibrium.py index 0b1af2572e..bd084d7ac9 100644 --- a/tests/test_equilibrium.py +++ b/tests/test_equilibrium.py @@ -49,6 +49,9 @@ def test_map_coordinates(): """Test root finding for (rho,theta,zeta) for common use cases.""" # finding coordinates along a single field line eq = get("NCSX") + grid = LinearGrid(rho=1, M=eq.M_grid, N=eq.N_grid, sym=eq.sym, NFP=eq.NFP) + iota = grid.compress(eq.compute("iota", grid=grid)["iota"]) + with pytest.warns(UserWarning, match="Reducing radial"): eq.change_resolution(3, 3, 3, 6, 6, 6) n = 100 @@ -61,6 +64,9 @@ def test_map_coordinates(): ) assert not np.any(np.isnan(out)) + iota = np.broadcast_to(iota, shape=(n,)) + np.testing.assert_allclose(eq.map_clebsch_coords(coords, iota), out) + eq = get("DSHAPE") inbasis = ["R", "phi", "Z"] From f1644a90222983e699403289aaa6f44cd1a276f3 Mon Sep 17 00:00:00 2001 From: unalmis Date: Fri, 26 Jul 2024 19:35:16 -0400 Subject: [PATCH 54/74] Remove old code --- desc/equilibrium/equilibrium.py | 4 ---- 1 file changed, 4 deletions(-) diff --git a/desc/equilibrium/equilibrium.py b/desc/equilibrium/equilibrium.py index bc103026b7..d4f0b14ecb 100644 --- a/desc/equilibrium/equilibrium.py +++ b/desc/equilibrium/equilibrium.py @@ -48,7 +48,6 @@ copy_coeffs, errorif, only1, - parse_argname_change, setdefault, warnif, ) @@ -1257,9 +1256,6 @@ def compute_theta_coords( point. Only returned if ``full_output`` is True. """ - flux_coords = parse_argname_change( - flux_coords, kwargs, oldname="flux_coords", newname="sfl_coords" - ) return compute_theta_coords( self, flux_coords, From 97400214da1731910da79387aa1955822aab4080 Mon Sep 17 00:00:00 2001 From: unalmis Date: Fri, 26 Jul 2024 22:35:06 -0400 Subject: [PATCH 55/74] Eq.change_resolution causes 3d coordinate mapping to give bad results New Clebsch map which does 1d newton iteration over surface is invariant to radial resolution. So remove eq.change_resolution from test so that two methods converge to correct result --- desc/equilibrium/coords.py | 16 ++++++---------- desc/equilibrium/equilibrium.py | 4 +--- tests/test_equilibrium.py | 20 ++++++++++---------- 3 files changed, 17 insertions(+), 23 deletions(-) diff --git a/desc/equilibrium/coords.py b/desc/equilibrium/coords.py index f7f97579ef..862edd2157 100644 --- a/desc/equilibrium/coords.py +++ b/desc/equilibrium/coords.py @@ -280,8 +280,8 @@ def compute_theta_coords( # Root finding for θₖ such that r(θₖ) = ϑₖ(ρ, θₖ, ζ) − ϑ = 0. def rootfun(theta_DESC, theta_PEST, rho, zeta): - nodes = jnp.atleast_2d( - jnp.array([rho.squeeze(), theta_DESC.squeeze(), zeta.squeeze()]) + nodes = jnp.array( + [rho.squeeze(), theta_DESC.squeeze(), zeta.squeeze()], ndmin=2 ) A = eq.L_basis.evaluate(nodes) lmbda = A @ L_lmn @@ -294,8 +294,8 @@ def rootfun(theta_DESC, theta_PEST, rho, zeta): def jacfun(theta_DESC, theta_PEST, rho, zeta): # Valid everywhere except θ such that θ+λ = k 2π where k ∈ ℤ. - nodes = jnp.atleast_2d( - jnp.array([rho.squeeze(), theta_DESC.squeeze(), zeta.squeeze()]) + nodes = jnp.array( + [rho.squeeze(), theta_DESC.squeeze(), zeta.squeeze()], ndmin=2 ) A1 = eq.L_basis.evaluate(nodes, (0, 1, 0)) lmbda_t = jnp.dot(A1, L_lmn) @@ -378,9 +378,7 @@ def map_clebsch_coords( # Root finding for θₖ such that r(θₖ) = αₖ(ρ, θₖ, ζ) − α = 0. def rootfun(theta, alpha, rho, zeta, iota): - nodes = jnp.atleast_2d( - jnp.array([rho.squeeze(), theta.squeeze(), zeta.squeeze()]) - ) + nodes = jnp.array([rho.squeeze(), theta.squeeze(), zeta.squeeze()], ndmin=2) A = eq.L_basis.evaluate(nodes) lmbda = A @ L_lmn # TODO: generalize for toroidal angle @@ -393,9 +391,7 @@ def rootfun(theta, alpha, rho, zeta, iota): def jacfun(theta, alpha, rho, zeta, iota): # Valid everywhere except θ such that θ+λ = k 2π where k ∈ ℤ. - nodes = jnp.atleast_2d( - jnp.array([rho.squeeze(), theta.squeeze(), zeta.squeeze()]) - ) + nodes = jnp.array([rho.squeeze(), theta.squeeze(), zeta.squeeze()], ndmin=2) A1 = eq.L_basis.evaluate(nodes, (0, 1, 0)) lmbda_t = jnp.dot(A1, L_lmn) return 1 + lmbda_t.squeeze() diff --git a/desc/equilibrium/equilibrium.py b/desc/equilibrium/equilibrium.py index d4f0b14ecb..0e3213d522 100644 --- a/desc/equilibrium/equilibrium.py +++ b/desc/equilibrium/equilibrium.py @@ -1278,15 +1278,13 @@ def map_clebsch_coords( ): """Find θ for given Clebsch field line poloidal label α. - Assumes ζ = ϕ. - Parameters ---------- eq : Equilibrium Equilibrium to use. clebsch_coords : ndarray Shape (k, 3). - Clebsch field line coordinates [ρ, α, ζ]. + Clebsch field line coordinates [ρ, α, ζ]. Assumes ζ = ϕ. Each row is a different point in space. iota : ndarray Shape (k, ) diff --git a/tests/test_equilibrium.py b/tests/test_equilibrium.py index bd084d7ac9..b67c723038 100644 --- a/tests/test_equilibrium.py +++ b/tests/test_equilibrium.py @@ -49,23 +49,23 @@ def test_map_coordinates(): """Test root finding for (rho,theta,zeta) for common use cases.""" # finding coordinates along a single field line eq = get("NCSX") + n = 100 + coords = np.array([np.ones(n), np.zeros(n), np.linspace(0, 10 * np.pi, n)]).T grid = LinearGrid(rho=1, M=eq.M_grid, N=eq.N_grid, sym=eq.sym, NFP=eq.NFP) iota = grid.compress(eq.compute("iota", grid=grid)["iota"]) + iota = np.broadcast_to(iota, shape=(n,)) - with pytest.warns(UserWarning, match="Reducing radial"): - eq.change_resolution(3, 3, 3, 6, 6, 6) - n = 100 - coords = np.array([np.ones(n), np.zeros(n), np.linspace(0, 10 * np.pi, n)]).T - out = eq.map_coordinates( + out_1 = eq.map_clebsch_coords(coords, iota) + assert np.isfinite(out_1).all() + out_2 = eq.map_coordinates( coords, ["rho", "alpha", "zeta"], ["rho", "theta", "zeta"], - period=(np.inf, 2 * np.pi, 10 * np.pi), + period=(np.inf, 2 * np.pi, np.inf), ) - assert not np.any(np.isnan(out)) - - iota = np.broadcast_to(iota, shape=(n,)) - np.testing.assert_allclose(eq.map_clebsch_coords(coords, iota), out) + assert np.isfinite(out_2).all() + diff = (out_1 - out_2) % (2 * np.pi) + assert np.all(np.isclose(diff, 0) | np.isclose(diff, 2 * np.pi)) eq = get("DSHAPE") From 03df62f4fbcf643b7bb471951c7ad68bff82e0aa Mon Sep 17 00:00:00 2001 From: unalmis Date: Sat, 27 Jul 2024 10:47:27 -0400 Subject: [PATCH 56/74] Remove unneeded modulo --- desc/equilibrium/coords.py | 6 +++--- desc/equilibrium/equilibrium.py | 4 ++-- 2 files changed, 5 insertions(+), 5 deletions(-) diff --git a/desc/equilibrium/coords.py b/desc/equilibrium/coords.py index 862edd2157..a5ffdbfdc6 100644 --- a/desc/equilibrium/coords.py +++ b/desc/equilibrium/coords.py @@ -248,7 +248,7 @@ def compute_theta_coords( Straight field line PEST coordinates [ρ, ϑ, ϕ]. Assumes ζ = ϕ. Each row is a different point in space. L_lmn : ndarray - Spectral coefficients for lambda. Defaults to those of the equilibrium. + Spectral coefficients for lambda. Defaults to ``eq.L_lmn``. tol : float Stopping tolerance. maxiter : int > 0 @@ -346,7 +346,7 @@ def map_clebsch_coords( Shape (k, ) Rotational transform on each node. L_lmn : ndarray - Spectral coefficients for lambda. Defaults to those of the equilibrium. + Spectral coefficients for lambda. Defaults to ``eq.L_lmn``. tol : float Stopping tolerance. maxiter : int > 0 @@ -382,7 +382,7 @@ def rootfun(theta, alpha, rho, zeta, iota): A = eq.L_basis.evaluate(nodes) lmbda = A @ L_lmn # TODO: generalize for toroidal angle - alpha_k = ((theta + lmbda) % (2 * np.pi) - iota * zeta) % (2 * np.pi) + alpha_k = (theta + lmbda - iota * zeta) % (2 * np.pi) r = alpha_k - alpha # r should be between -pi and pi r = jnp.where(r > np.pi, r - 2 * np.pi, r) diff --git a/desc/equilibrium/equilibrium.py b/desc/equilibrium/equilibrium.py index 0e3213d522..5841692f89 100644 --- a/desc/equilibrium/equilibrium.py +++ b/desc/equilibrium/equilibrium.py @@ -1234,7 +1234,7 @@ def compute_theta_coords( Straight field line PEST coordinates [ρ, ϑ, ϕ]. Assumes ζ = ϕ. Each row is a different point in space. L_lmn : ndarray - Spectral coefficients for lambda. Defaults to those of the equilibrium. + Spectral coefficients for lambda. Defaults to ``eq.L_lmn``. tol : float Stopping tolerance. maxiter : int > 0 @@ -1290,7 +1290,7 @@ def map_clebsch_coords( Shape (k, ) Rotational transform on each node. L_lmn : ndarray - Spectral coefficients for lambda. Defaults to those of the equilibrium. + Spectral coefficients for lambda. Defaults to ``eq.L_lmn``. tol : float Stopping tolerance. maxiter : int > 0 From ca62476a49fcc28f79a001393cb80066bda5c4c6 Mon Sep 17 00:00:00 2001 From: unalmis Date: Mon, 5 Aug 2024 23:49:26 -0400 Subject: [PATCH 57/74] Detach map clebsch coordinates api from equilibrium object --- desc/equilibrium/coords.py | 14 +++++++------- desc/equilibrium/equilibrium.py | 11 +++++++---- 2 files changed, 14 insertions(+), 11 deletions(-) diff --git a/desc/equilibrium/coords.py b/desc/equilibrium/coords.py index a5ffdbfdc6..5ca8611cae 100644 --- a/desc/equilibrium/coords.py +++ b/desc/equilibrium/coords.py @@ -323,10 +323,10 @@ def fixup(x, *args): def map_clebsch_coords( - eq, clebsch_coords, iota, - L_lmn=None, + L_lmn, + L_basis, tol=1e-6, maxiter=20, full_output=False, @@ -346,7 +346,9 @@ def map_clebsch_coords( Shape (k, ) Rotational transform on each node. L_lmn : ndarray - Spectral coefficients for lambda. Defaults to ``eq.L_lmn``. + Spectral coefficients for lambda. + L_basis : Basis + Spectral basis for lambda. tol : float Stopping tolerance. maxiter : int > 0 @@ -371,15 +373,13 @@ def map_clebsch_coords( kwargs.setdefault("maxiter", maxiter) kwargs.setdefault("tol", tol) - if L_lmn is None: - L_lmn = eq.L_lmn rho, alpha, zeta = clebsch_coords.T alpha = alpha % (2 * np.pi) # Root finding for θₖ such that r(θₖ) = αₖ(ρ, θₖ, ζ) − α = 0. def rootfun(theta, alpha, rho, zeta, iota): nodes = jnp.array([rho.squeeze(), theta.squeeze(), zeta.squeeze()], ndmin=2) - A = eq.L_basis.evaluate(nodes) + A = L_basis.evaluate(nodes) lmbda = A @ L_lmn # TODO: generalize for toroidal angle alpha_k = (theta + lmbda - iota * zeta) % (2 * np.pi) @@ -392,7 +392,7 @@ def rootfun(theta, alpha, rho, zeta, iota): def jacfun(theta, alpha, rho, zeta, iota): # Valid everywhere except θ such that θ+λ = k 2π where k ∈ ℤ. nodes = jnp.array([rho.squeeze(), theta.squeeze(), zeta.squeeze()], ndmin=2) - A1 = eq.L_basis.evaluate(nodes, (0, 1, 0)) + A1 = L_basis.evaluate(nodes, (0, 1, 0)) lmbda_t = jnp.dot(A1, L_lmn) return 1 + lmbda_t.squeeze() diff --git a/desc/equilibrium/equilibrium.py b/desc/equilibrium/equilibrium.py index 5841692f89..758ade21e5 100644 --- a/desc/equilibrium/equilibrium.py +++ b/desc/equilibrium/equilibrium.py @@ -1260,8 +1260,8 @@ def compute_theta_coords( self, flux_coords, L_lmn=L_lmn, - maxiter=maxiter, tol=tol, + maxiter=maxiter, full_output=full_output, **kwargs, ) @@ -1271,6 +1271,7 @@ def map_clebsch_coords( clebsch_coords, iota, L_lmn=None, + L_basis=None, tol=1e-6, maxiter=20, full_output=False, @@ -1291,6 +1292,8 @@ def map_clebsch_coords( Rotational transform on each node. L_lmn : ndarray Spectral coefficients for lambda. Defaults to ``eq.L_lmn``. + L_basis : Basis + Spectral basis for lambda. Defaults to ``eq.L_basis``. tol : float Stopping tolerance. maxiter : int > 0 @@ -1313,12 +1316,12 @@ def map_clebsch_coords( """ return map_clebsch_coords( - self, clebsch_coords, iota, - L_lmn=L_lmn, - maxiter=maxiter, + L_lmn=setdefault(L_lmn, self.L_lmn), + L_basis=setdefault(L_basis, self.L_basis), tol=tol, + maxiter=maxiter, full_output=full_output, **kwargs, ) From 616099d840157f263385dae03196d93c487ce5e2 Mon Sep 17 00:00:00 2001 From: unalmis Date: Mon, 5 Aug 2024 23:54:29 -0400 Subject: [PATCH 58/74] Fix definition of alpha for general toroidal angle --- desc/compute/_core.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/desc/compute/_core.py b/desc/compute/_core.py index a157d91412..70f70b73a2 100644 --- a/desc/compute/_core.py +++ b/desc/compute/_core.py @@ -1475,10 +1475,10 @@ def _Z_zzz(params, transforms, profiles, data, **kwargs): transforms={}, profiles=[], coordinates="rtz", - data=["theta_PEST", "zeta", "iota"], + data=["theta_PEST", "phi", "iota"], ) def _alpha(params, transforms, profiles, data, **kwargs): - data["alpha"] = (data["theta_PEST"] - data["iota"] * data["zeta"]) % (2 * jnp.pi) + data["alpha"] = (data["theta_PEST"] - data["iota"] * data["phi"]) % (2 * jnp.pi) return data From 88d6b8f3cb14dc99355c70d5829773a0d82fd5ea Mon Sep 17 00:00:00 2001 From: unalmis Date: Tue, 6 Aug 2024 01:26:59 -0400 Subject: [PATCH 59/74] Cherry pick changes from commit #8a8d9de to this commit --- tests/test_compute_everything.py | 238 +++++++++++++++++++++++++++++++ tests/test_compute_funs.py | 224 +---------------------------- 2 files changed, 240 insertions(+), 222 deletions(-) create mode 100644 tests/test_compute_everything.py diff --git a/tests/test_compute_everything.py b/tests/test_compute_everything.py new file mode 100644 index 0000000000..dad09b8c5d --- /dev/null +++ b/tests/test_compute_everything.py @@ -0,0 +1,238 @@ +"""Test that the computations on this branch agree with those on master.""" + +import pickle +import warnings + +import numpy as np +import pytest + +from desc.coils import FourierPlanarCoil, FourierRZCoil, FourierXYZCoil, SplineXYZCoil +from desc.compute import data_index +from desc.examples import get +from desc.geometry import ( + FourierPlanarCurve, + FourierRZCurve, + FourierRZToroidalSurface, + FourierXYZCurve, + ZernikeRZToroidalSection, +) +from desc.grid import LinearGrid +from desc.magnetic_fields import ( + CurrentPotentialField, + FourierCurrentPotentialField, + OmnigenousField, +) +from desc.utils import ResolutionWarning + + +def _compare_against_master( + p, data, master_data, error=False, update_master_data=False +): + + for name in data[p]: + if p in master_data and name in master_data[p]: + try: + np.testing.assert_allclose( + actual=data[p][name], + desired=master_data[p][name], + atol=1e-10, + rtol=1e-10, + err_msg=f"Parameterization: {p}. Name: {name}.", + ) + except AssertionError as e: + error = True + print(e) + else: # update master data with new compute quantity + update_master_data = True + + return error, update_master_data + + +@pytest.mark.unit +def test_compute_everything(): + """Test that the computations on this branch agree with those on master. + + Also make sure we can compute everything without errors. Computed quantities + are both in "rpz" and "xyz" basis. + """ + elliptic_cross_section_with_torsion = { + "R_lmn": [10, 1, 0.2], + "Z_lmn": [-2, -0.2], + "modes_R": [[0, 0], [1, 0], [0, 1]], + "modes_Z": [[-1, 0], [0, -1]], + } + things = { + # equilibria + "desc.equilibrium.equilibrium.Equilibrium": get("W7-X"), + # curves + "desc.geometry.curve.FourierXYZCurve": FourierXYZCurve( + X_n=[5, 10, 2], Y_n=[1, 2, 3], Z_n=[-4, -5, -6] + ), + "desc.geometry.curve.FourierRZCurve": FourierRZCurve( + R_n=[10, 1, 0.2], Z_n=[-2, -0.2], modes_R=[0, 1, 2], modes_Z=[-1, -2], NFP=2 + ), + "desc.geometry.curve.FourierPlanarCurve": FourierPlanarCurve( + center=[10, 1, 3], normal=[1, 2, 3], r_n=[1, 2, 3], modes=[0, 1, 2] + ), + "desc.geometry.curve.SplineXYZCurve": FourierXYZCurve( + X_n=[5, 10, 2], Y_n=[1, 2, 3], Z_n=[-4, -5, -6] + ).to_SplineXYZ(grid=LinearGrid(N=50)), + # surfaces + "desc.geometry.surface.FourierRZToroidalSurface": FourierRZToroidalSurface( + **elliptic_cross_section_with_torsion + ), + "desc.geometry.surface.ZernikeRZToroidalSection": ZernikeRZToroidalSection( + **elliptic_cross_section_with_torsion + ), + # magnetic fields + "desc.magnetic_fields._current_potential.CurrentPotentialField": CurrentPotentialField( # noqa:E501 + **elliptic_cross_section_with_torsion, + potential=lambda theta, zeta, G: G * zeta / 2 / np.pi, + potential_dtheta=lambda theta, zeta, G: np.zeros_like(theta), + potential_dzeta=lambda theta, zeta, G: G * np.ones_like(theta) / 2 / np.pi, + params={"G": 1e7}, + ), + "desc.magnetic_fields._current_potential.FourierCurrentPotentialField": ( + FourierCurrentPotentialField( + **elliptic_cross_section_with_torsion, I=0, G=1e7 + ) + ), + "desc.magnetic_fields._core.OmnigenousField": OmnigenousField( + L_B=0, + M_B=4, + L_x=0, + M_x=1, + N_x=1, + NFP=2, + helicity=(0, 2), + B_lm=np.array([0.8, 0.9, 1.1, 1.2]), + x_lmn=np.array([0, -np.pi / 8, 0, np.pi / 8, 0, np.pi / 4]), + ), + # coils + "desc.coils.FourierRZCoil": FourierRZCoil( + R_n=[10, 1, 0.2], Z_n=[-2, -0.2], modes_R=[0, 1, 2], modes_Z=[-1, -2], NFP=2 + ), + "desc.coils.FourierXYZCoil": FourierXYZCoil( + X_n=[5, 10, 2], Y_n=[1, 2, 3], Z_n=[-4, -5, -6] + ), + "desc.coils.FourierPlanarCoil": FourierPlanarCoil( + current=5, + center=[10, 1, 3], + normal=[1, 2, 3], + r_n=[1, 2, 3], + modes=[0, 1, 2], + ), + "desc.coils.SplineXYZCoil": SplineXYZCoil( + current=5, X=[5, 10, 2, 5], Y=[1, 2, 3, 1], Z=[-4, -5, -6, -4] + ), + } + assert things.keys() == data_index.keys(), ( + f"Missing the parameterization {data_index.keys() - things.keys()}" + f" to test against master." + ) + # use this low resolution grid for equilibria to reduce file size + eqgrid = LinearGrid( + L=9, + M=5, + N=5, + NFP=things["desc.equilibrium.equilibrium.Equilibrium"].NFP, + sym=things["desc.equilibrium.equilibrium.Equilibrium"].sym, + axis=True, + ) + curvegrid1 = LinearGrid(N=10) + curvegrid2 = LinearGrid(N=10, NFP=2) + fieldgrid = LinearGrid( + L=2, + M=4, + N=5, + NFP=things["desc.magnetic_fields._core.OmnigenousField"].NFP, + sym=False, + axis=True, + ) + grid = { + "desc.equilibrium.equilibrium.Equilibrium": {"grid": eqgrid}, + "desc.geometry.curve.FourierXYZCurve": {"grid": curvegrid1}, + "desc.geometry.curve.FourierRZCurve": {"grid": curvegrid2}, + "desc.geometry.curve.FourierPlanarCurve": {"grid": curvegrid1}, + "desc.geometry.curve.SplineXYZCurve": {"grid": curvegrid1}, + "desc.magnetic_fields._core.OmnigenousField": {"grid": fieldgrid}, + } + + with open("tests/inputs/master_compute_data_rpz.pkl", "rb") as file: + master_data_rpz = pickle.load(file) + with open("tests/inputs/master_compute_data_xyz.pkl", "rb") as file: + master_data_xyz = pickle.load(file) + this_branch_data_rpz = {} + this_branch_data_xyz = {} + update_master_data_rpz = False + update_master_data_xyz = False + error_rpz = False + error_xyz = False + + # some things can't compute "phi" and therefore can't convert to XYZ basis + no_xyz_things = ["desc.magnetic_fields._core.OmnigenousField"] + + with warnings.catch_warnings(): + # Max resolution of master_compute_data.pkl limited by GitHub file + # size cap at 100 mb, so can't hit suggested resolution for some things. + warnings.filterwarnings("ignore", category=ResolutionWarning) + for p in things: + names = { + name + for name in data_index[p] + # Skip these quantities as they should be covered in other tests. + if not data_index[p][name]["source_grid_requirement"] + } + this_branch_data_rpz[p] = things[p].compute( + list(names), **grid.get(p, {}), basis="rpz" + ) + # make sure we can compute everything + assert this_branch_data_rpz[p].keys() == names, ( + f"Parameterization: {p}. Can't compute " + + f"{names - this_branch_data_rpz[p].keys()}." + ) + # compare data against master branch + error_rpz, update_master_data_rpz = _compare_against_master( + p, + this_branch_data_rpz, + master_data_rpz, + error_rpz, + update_master_data_rpz, + ) + + # test compute in XYZ basis + if p in no_xyz_things: + continue + # remove quantities that are not implemented in the XYZ basis + # TODO: generalize this instead of hard-coding for "grad(B)" & dependencies + names_xyz = ( + names - {"grad(B)", "|grad(B)|", "L_grad(B)"} + if "grad(B)" in names + else names + ) + + this_branch_data_xyz[p] = things[p].compute( + list(names_xyz), **grid.get(p, {}), basis="xyz" + ) + assert this_branch_data_xyz[p].keys() == names_xyz, ( + f"Parameterization: {p}. Can't compute " + + f"{names_xyz - this_branch_data_xyz[p].keys()}." + ) + error_xyz, update_master_data_xyz = _compare_against_master( + p, + this_branch_data_xyz, + master_data_xyz, + error_xyz, + update_master_data_xyz, + ) + + if not error_rpz and update_master_data_rpz: + # then update the master compute data + with open("tests/inputs/master_compute_data_rpz.pkl", "wb") as file: + # remember to git commit this file + pickle.dump(this_branch_data_rpz, file) + if not error_xyz and update_master_data_xyz: + with open("tests/inputs/master_compute_data_xyz.pkl", "wb") as file: + pickle.dump(this_branch_data_xyz, file) + assert not error_rpz + assert not error_xyz diff --git a/tests/test_compute_funs.py b/tests/test_compute_funs.py index 21c768e215..08c9b2efdb 100644 --- a/tests/test_compute_funs.py +++ b/tests/test_compute_funs.py @@ -1,32 +1,15 @@ """Tests for compute functions.""" -import copy -import pickle -import warnings - import numpy as np import pytest from scipy.signal import convolve2d -from desc.coils import FourierPlanarCoil, FourierRZCoil, FourierXYZCoil, SplineXYZCoil -from desc.compute import data_index, rpz2xyz_vec +from desc.compute import rpz2xyz_vec from desc.equilibrium import Equilibrium from desc.examples import get -from desc.geometry import ( - FourierPlanarCurve, - FourierRZCurve, - FourierRZToroidalSurface, - FourierXYZCurve, - ZernikeRZToroidalSection, -) +from desc.geometry import FourierRZToroidalSurface from desc.grid import LinearGrid from desc.io import load -from desc.magnetic_fields import ( - CurrentPotentialField, - FourierCurrentPotentialField, - OmnigenousField, -) -from desc.utils import ResolutionWarning # convolve kernel is reverse of FD coeffs FD_COEF_1_2 = np.array([-1 / 2, 0, 1 / 2])[::-1] @@ -1150,209 +1133,6 @@ def test_boozer_transform(): ) -@pytest.mark.unit -def test_compute_everything(): - """Test that the computations on this branch agree with those on master. - - Also make sure we can compute everything without errors. Computed quantities - are both in "rpz" and "xyz" basis. - """ - elliptic_cross_section_with_torsion = { - "R_lmn": [10, 1, 0.2], - "Z_lmn": [-2, -0.2], - "modes_R": [[0, 0], [1, 0], [0, 1]], - "modes_Z": [[-1, 0], [0, -1]], - } - things = { - # equilibria - "desc.equilibrium.equilibrium.Equilibrium": get("W7-X"), - # curves - "desc.geometry.curve.FourierXYZCurve": FourierXYZCurve( - X_n=[5, 10, 2], Y_n=[1, 2, 3], Z_n=[-4, -5, -6] - ), - "desc.geometry.curve.FourierRZCurve": FourierRZCurve( - R_n=[10, 1, 0.2], Z_n=[-2, -0.2], modes_R=[0, 1, 2], modes_Z=[-1, -2], NFP=2 - ), - "desc.geometry.curve.FourierPlanarCurve": FourierPlanarCurve( - center=[10, 1, 3], normal=[1, 2, 3], r_n=[1, 2, 3], modes=[0, 1, 2] - ), - "desc.geometry.curve.SplineXYZCurve": FourierXYZCurve( - X_n=[5, 10, 2], Y_n=[1, 2, 3], Z_n=[-4, -5, -6] - ).to_SplineXYZ(grid=LinearGrid(N=50)), - # surfaces - "desc.geometry.surface.FourierRZToroidalSurface": FourierRZToroidalSurface( - **elliptic_cross_section_with_torsion - ), - "desc.geometry.surface.ZernikeRZToroidalSection": ZernikeRZToroidalSection( - **elliptic_cross_section_with_torsion - ), - # magnetic fields - "desc.magnetic_fields._current_potential.CurrentPotentialField": CurrentPotentialField( # noqa:E501 - **elliptic_cross_section_with_torsion, - potential=lambda theta, zeta, G: G * zeta / 2 / np.pi, - potential_dtheta=lambda theta, zeta, G: np.zeros_like(theta), - potential_dzeta=lambda theta, zeta, G: G * np.ones_like(theta) / 2 / np.pi, - params={"G": 1e7}, - ), - "desc.magnetic_fields._current_potential.FourierCurrentPotentialField": ( - FourierCurrentPotentialField( - **elliptic_cross_section_with_torsion, I=0, G=1e7 - ) - ), - "desc.magnetic_fields._core.OmnigenousField": OmnigenousField( - L_B=0, - M_B=4, - L_x=0, - M_x=1, - N_x=1, - NFP=2, - helicity=(0, 2), - B_lm=np.array([0.8, 0.9, 1.1, 1.2]), - x_lmn=np.array([0, -np.pi / 8, 0, np.pi / 8, 0, np.pi / 4]), - ), - # coils - "desc.coils.FourierRZCoil": FourierRZCoil( - R_n=[10, 1, 0.2], Z_n=[-2, -0.2], modes_R=[0, 1, 2], modes_Z=[-1, -2], NFP=2 - ), - "desc.coils.FourierXYZCoil": FourierXYZCoil( - X_n=[5, 10, 2], Y_n=[1, 2, 3], Z_n=[-4, -5, -6] - ), - "desc.coils.FourierPlanarCoil": FourierPlanarCoil( - current=5, - center=[10, 1, 3], - normal=[1, 2, 3], - r_n=[1, 2, 3], - modes=[0, 1, 2], - ), - "desc.coils.SplineXYZCoil": SplineXYZCoil( - current=5, X=[5, 10, 2, 5], Y=[1, 2, 3, 1], Z=[-4, -5, -6, -4] - ), - } - assert things.keys() == data_index.keys(), ( - f"Missing the parameterization {data_index.keys() - things.keys()}" - f" to test against master." - ) - # use this low resolution grid for equilibria to reduce file size - eqgrid = LinearGrid( - L=9, - M=5, - N=5, - NFP=things["desc.equilibrium.equilibrium.Equilibrium"].NFP, - sym=things["desc.equilibrium.equilibrium.Equilibrium"].sym, - axis=True, - ) - curvegrid1 = LinearGrid(N=10) - curvegrid2 = LinearGrid(N=10, NFP=2) - fieldgrid = LinearGrid( - L=2, - M=4, - N=5, - NFP=things["desc.magnetic_fields._core.OmnigenousField"].NFP, - sym=False, - axis=True, - ) - grid = { - "desc.equilibrium.equilibrium.Equilibrium": {"grid": eqgrid}, - "desc.geometry.curve.FourierXYZCurve": {"grid": curvegrid1}, - "desc.geometry.curve.FourierRZCurve": {"grid": curvegrid2}, - "desc.geometry.curve.FourierPlanarCurve": {"grid": curvegrid1}, - "desc.geometry.curve.SplineXYZCurve": {"grid": curvegrid1}, - "desc.magnetic_fields._core.OmnigenousField": {"grid": fieldgrid}, - } - - with open("tests/inputs/master_compute_data_rpz.pkl", "rb") as file: - master_data_rpz = pickle.load(file) - with open("tests/inputs/master_compute_data_xyz.pkl", "rb") as file: - master_data_xyz = pickle.load(file) - this_branch_data_rpz = {} - this_branch_data_xyz = {} - update_master_data_rpz = False - update_master_data_xyz = False - error_rpz = False - error_xyz = False - - # some things can't compute "phi" and therefore can't convert to XYZ basis - no_xyz_things = ["desc.magnetic_fields._core.OmnigenousField"] - - for p in things: - with warnings.catch_warnings(): - # Max resolution of master_compute_data.pkl limited by GitHub file - # size cap at 100 mb, so can't hit suggested resolution for some things. - warnings.filterwarnings("ignore", category=ResolutionWarning) - this_branch_data_rpz[p] = things[p].compute( - list(data_index[p].keys()), **grid.get(p, {}), basis="rpz" - ) - # make sure we can compute everything - assert this_branch_data_rpz[p].keys() == data_index[p].keys(), ( - f"Parameterization: {p}. Can't compute " - + f"{data_index[p].keys() - this_branch_data_rpz[p].keys()}." - ) - # compare data against master branch - for name in this_branch_data_rpz[p]: - if p in master_data_rpz and name in master_data_rpz[p]: - try: - np.testing.assert_allclose( - actual=this_branch_data_rpz[p][name], - desired=master_data_rpz[p][name], - atol=1e-10, - rtol=1e-10, - err_msg=f"Parameterization: {p}. Name: {name}.", - ) - except AssertionError as e: - error_rpz = True - print(e) - else: # update master data with new compute quantity - update_master_data_rpz = True - - # test compute in XYZ basis - if p not in no_xyz_things: - # remove quantities that are not implemented in the XYZ basis - # TODO: generalize this instead of hard-coding for "grad(B)" & dependencies - data_index_xyz = copy.deepcopy(data_index) - if "grad(B)" in list(data_index[p].keys()): - del data_index_xyz[p]["grad(B)"] - del data_index_xyz[p]["|grad(B)|"] - del data_index_xyz[p]["L_grad(B)"] - with warnings.catch_warnings(): - # Max resolution of master_compute_data.pkl limited by GitHub file - # size cap at 100 mb, so can't hit suggested resolution for some things. - warnings.filterwarnings("ignore", category=ResolutionWarning) - this_branch_data_xyz[p] = things[p].compute( - list(data_index_xyz[p].keys()), **grid.get(p, {}), basis="xyz" - ) - assert this_branch_data_xyz[p].keys() == data_index_xyz[p].keys(), ( - f"Parameterization: {p}. Can't compute " - + f"{data_index_xyz[p].keys() - this_branch_data_xyz[p].keys()}." - ) - # compare data against master branch - for name in this_branch_data_xyz[p]: - if p in master_data_xyz and name in master_data_xyz[p]: - try: - np.testing.assert_allclose( - actual=this_branch_data_xyz[p][name], - desired=master_data_xyz[p][name], - atol=1e-10, - rtol=1e-10, - err_msg=f"Parameterization: {p}. Name: {name}.", - ) - except AssertionError as e: - error_xyz = True - print(e) - else: # update master data with new compute quantity - update_master_data_xyz = True - - # update the master compute data, if necessary - # remember to git commit these files - if not error_rpz and update_master_data_rpz: - with open("tests/inputs/master_compute_data_rpz.pkl", "wb") as file: - pickle.dump(this_branch_data_rpz, file) - if not error_xyz and update_master_data_xyz: - with open("tests/inputs/master_compute_data_xyz.pkl", "wb") as file: - pickle.dump(this_branch_data_xyz, file) - assert not error_rpz - assert not error_xyz - - @pytest.mark.unit def test_compute_averages(): """Test that computing averages uses the correct grid.""" From ad5a9f29c097cc4d102f3643f7951de200baf780 Mon Sep 17 00:00:00 2001 From: Dario Panici Date: Tue, 6 Aug 2024 10:34:25 -0500 Subject: [PATCH 60/74] add check_intersection flag to the coilset conversion methods --- desc/coils.py | 84 ++++++++++++++++++++++++++++++++++++--------- tests/test_coils.py | 12 +++---- 2 files changed, 74 insertions(+), 22 deletions(-) diff --git a/desc/coils.py b/desc/coils.py index aacb4f19a3..f184365918 100644 --- a/desc/coils.py +++ b/desc/coils.py @@ -1596,7 +1596,9 @@ def flatten_coils(coilset): with open(coilsFilename, "w") as f: f.writelines(lines) - def to_FourierPlanar(self, N=10, grid=None, basis="xyz", name=""): + def to_FourierPlanar( + self, N=10, grid=None, basis="xyz", name="", check_intersection=True + ): """Convert all coils to FourierPlanarCoil. Note that some types of coils may not be representable in this basis. @@ -1614,6 +1616,8 @@ def to_FourierPlanar(self, N=10, grid=None, basis="xyz", name=""): Coordinate system for center and normal vectors. Default = 'xyz'. name : str Name for this coilset. + check_intersection: bool + Whether or not to check the coils in the new coilset for intersections. Returns ------- @@ -1623,9 +1627,17 @@ def to_FourierPlanar(self, N=10, grid=None, basis="xyz", name=""): """ coils = [coil.to_FourierPlanar(N=N, grid=grid, basis=basis) for coil in self] - return self.__class__(*coils, NFP=self.NFP, sym=self.sym, name=name) + return self.__class__( + *coils, + NFP=self.NFP, + sym=self.sym, + name=name, + check_intersection=check_intersection, + ) - def to_FourierRZ(self, N=10, grid=None, NFP=None, sym=False, name=""): + def to_FourierRZ( + self, N=10, grid=None, NFP=None, sym=False, name="", check_intersection=True + ): """Convert all coils to FourierRZCoil representaion. Note that some types of coils may not be representable in this basis. @@ -1644,6 +1656,8 @@ def to_FourierRZ(self, N=10, grid=None, NFP=None, sym=False, name=""): Whether the curve is stellarator-symmetric or not. Default is False. name : str Name for this coilset. + check_intersection: bool + Whether or not to check the coils in the new coiilset for intersections. Returns ------- @@ -1652,9 +1666,15 @@ def to_FourierRZ(self, N=10, grid=None, NFP=None, sym=False, name=""): """ coils = [coil.to_FourierRZ(N=N, grid=grid, NFP=NFP, sym=sym) for coil in self] - return self.__class__(*coils, NFP=self.NFP, sym=self.sym, name=name) + return self.__class__( + *coils, + NFP=self.NFP, + sym=self.sym, + name=name, + check_intersection=check_intersection, + ) - def to_FourierXYZ(self, N=10, grid=None, s=None, name=""): + def to_FourierXYZ(self, N=10, grid=None, s=None, name="", check_intersection=True): """Convert all coils to FourierXYZCoil representation. Parameters @@ -1669,6 +1689,8 @@ def to_FourierXYZ(self, N=10, grid=None, s=None, name=""): normalized arclength. name : str Name for the new CoilSet. + check_intersection: bool + Whether or not to check the coils in the new coiilset for intersections. Returns ------- @@ -1678,9 +1700,17 @@ def to_FourierXYZ(self, N=10, grid=None, s=None, name=""): """ coils = [coil.to_FourierXYZ(N, grid, s) for coil in self] - return self.__class__(*coils, NFP=self.NFP, sym=self.sym, name=name) + return self.__class__( + *coils, + NFP=self.NFP, + sym=self.sym, + name=name, + check_intersection=check_intersection, + ) - def to_SplineXYZ(self, knots=None, grid=None, method="cubic", name=""): + def to_SplineXYZ( + self, knots=None, grid=None, method="cubic", name="", check_intersection=True + ): """Convert all coils to SplineXYZCoil representation. Parameters @@ -1704,6 +1734,8 @@ def to_SplineXYZ(self, knots=None, grid=None, method="cubic", name=""): - `'catmull-rom'`: C1 cubic centripetal "tension" splines name : str Name for the new CoilSet. + check_intersection: bool + Whether or not to check the coils in the new coiilset for intersections. Returns ------- @@ -1712,7 +1744,13 @@ def to_SplineXYZ(self, knots=None, grid=None, method="cubic", name=""): """ coils = [coil.to_SplineXYZ(knots, grid, method) for coil in self] - return self.__class__(*coils, NFP=self.NFP, sym=self.sym, name=name) + return self.__class__( + *coils, + NFP=self.NFP, + sym=self.sym, + name=name, + check_intersection=check_intersection, + ) def is_self_intersecting(self, grid=None, tol=None): """Check if any coils in the CoilSet intersect. @@ -2001,7 +2039,9 @@ def compute_magnetic_field( return B - def to_FourierPlanar(self, N=10, grid=None, basis="xyz", name=""): + def to_FourierPlanar( + self, N=10, grid=None, basis="xyz", name="", check_intersection=False + ): """Convert all coils to FourierPlanarCoil representation. Note that some types of coils may not be representable in this basis. @@ -2019,6 +2059,8 @@ def to_FourierPlanar(self, N=10, grid=None, basis="xyz", name=""): Coordinate system for center and normal vectors. Default = 'xyz'. name : str Name for the new MixedCoilSet. + check_intersection: bool + Whether or not to check the coils in the new coiilset for intersections. Returns ------- @@ -2028,9 +2070,11 @@ def to_FourierPlanar(self, N=10, grid=None, basis="xyz", name=""): """ coils = [coil.to_FourierPlanar(N=N, grid=grid, basis=basis) for coil in self] - return self.__class__(*coils, name=name) + return self.__class__(*coils, name=name, check_intersection=check_intersection) - def to_FourierRZ(self, N=10, grid=None, NFP=None, sym=False, name=""): + def to_FourierRZ( + self, N=10, grid=None, NFP=None, sym=False, name="", check_intersection=True + ): """Convert all coils to FourierRZCoil representation. Note that some types of coils may not be representable in this basis. @@ -2049,6 +2093,8 @@ def to_FourierRZ(self, N=10, grid=None, NFP=None, sym=False, name=""): Whether the curve is stellarator-symmetric or not. Default is False. name : str Name for the new MixedCoilSet. + check_intersection: bool + Whether or not to check the coils in the new coiilset for intersections. Returns ------- @@ -2057,9 +2103,9 @@ def to_FourierRZ(self, N=10, grid=None, NFP=None, sym=False, name=""): """ coils = [coil.to_FourierRZ(N=N, grid=grid, NFP=NFP, sym=sym) for coil in self] - return self.__class__(*coils, name=name) + return self.__class__(*coils, name=name, check_intersection=check_intersection) - def to_FourierXYZ(self, N=10, grid=None, s=None, name=""): + def to_FourierXYZ(self, N=10, grid=None, s=None, name="", check_intersection=True): """Convert all coils to FourierXYZCoil representation. Parameters @@ -2074,6 +2120,8 @@ def to_FourierXYZ(self, N=10, grid=None, s=None, name=""): normalized arclength. name : str Name for the new MixedCoilSet. + check_intersection: bool + Whether or not to check the coils in the new coiilset for intersections. Returns ------- @@ -2083,9 +2131,11 @@ def to_FourierXYZ(self, N=10, grid=None, s=None, name=""): """ coils = [coil.to_FourierXYZ(N, grid, s) for coil in self] - return self.__class__(*coils, name=name) + return self.__class__(*coils, name=name, check_intersection=check_intersection) - def to_SplineXYZ(self, knots=None, grid=None, method="cubic", name=""): + def to_SplineXYZ( + self, knots=None, grid=None, method="cubic", name="", check_intersection=True + ): """Convert all coils to SplineXYZCoil representation. Parameters @@ -2109,6 +2159,8 @@ def to_SplineXYZ(self, knots=None, grid=None, method="cubic", name=""): - `'catmull-rom'`: C1 cubic centripetal "tension" splines name : str Name for the new MixedCoilSet. + check_intersection: bool + Whether or not to check the coils in the new coiilset for intersections. Returns ------- @@ -2117,7 +2169,7 @@ def to_SplineXYZ(self, knots=None, grid=None, method="cubic", name=""): """ coils = [coil.to_SplineXYZ(knots, grid, method) for coil in self] - return self.__class__(*coils, name=name) + return self.__class__(*coils, name=name, check_intersection=check_intersection) def __add__(self, other): if isinstance(other, (CoilSet, MixedCoilSet)): diff --git a/tests/test_coils.py b/tests/test_coils.py index ffd6558e8b..704ad5f761 100644 --- a/tests/test_coils.py +++ b/tests/test_coils.py @@ -542,9 +542,9 @@ def test_convert_type(self): # MixedCoilSet coils1 = MixedCoilSet.linspaced_linear(coil, displacement=[0, 0, 2.5], n=4) - coils2 = coils1.to_SplineXYZ(grid=grid) - coils3 = coils1.to_FourierXYZ(grid=grid) - coils4 = coils1.to_FourierPlanar(grid=grid) + coils2 = coils1.to_SplineXYZ(grid=grid, check_intersection=False) + coils3 = coils1.to_FourierXYZ(grid=grid, check_intersection=False) + coils4 = coils1.to_FourierPlanar(grid=grid, check_intersection=False) assert isinstance(coils2, MixedCoilSet) assert isinstance(coils3, MixedCoilSet) assert isinstance(coils4, MixedCoilSet) @@ -580,9 +580,9 @@ def test_convert_type(self): # CoilSet coil = coils3[0] # FourierXYZCoil coils5 = CoilSet.linspaced_linear(coil, displacement=[0, 0, 3.5], n=6) - coils6 = coils5.to_SplineXYZ(grid=grid) - coils7 = coils5.to_FourierRZ(grid=grid) - coils8 = coils5.to_FourierPlanar(grid=grid) + coils6 = coils5.to_SplineXYZ(grid=grid, check_intersection=False) + coils7 = coils5.to_FourierRZ(grid=grid, check_intersection=False) + coils8 = coils5.to_FourierPlanar(grid=grid, check_intersection=False) assert isinstance(coils6, CoilSet) assert isinstance(coils7, CoilSet) assert isinstance(coils8, CoilSet) From db10448a4207d5bc8a677f7cd2ac1f5417851c89 Mon Sep 17 00:00:00 2001 From: unalmis Date: Wed, 7 Aug 2024 17:51:05 -0400 Subject: [PATCH 61/74] Add test to ensure basis conversion in #1088 is resolved --- docs/adding_compute_funs.rst | 11 ++++- tests/inputs/master_compute_data_xyz.pkl | Bin 7781899 -> 0 bytes tests/test_compute_everything.py | 56 ++++++++++++++--------- 3 files changed, 44 insertions(+), 23 deletions(-) delete mode 100644 tests/inputs/master_compute_data_xyz.pkl diff --git a/docs/adding_compute_funs.rst b/docs/adding_compute_funs.rst index 66e3c2c047..67662cb571 100644 --- a/docs/adding_compute_funs.rst +++ b/docs/adding_compute_funs.rst @@ -27,6 +27,7 @@ The full code is below: coordinates="rtz", data=["sqrt(g)", "B_zeta_t", "B_theta_z"], axis_limit_data=["sqrt(g)_r", "B_zeta_rt", "B_theta_rz"], + resolution_requirement="", parameterization="desc.equilibrium.equilibrium.Equilibrium", ) def _J_sup_rho(params, transforms, profiles, data, **kwargs): @@ -96,6 +97,12 @@ metadata about the quantity. The necessary fields are detailed below: the quantities mentioned above to evaluate the magnetic axis limit. These dependencies are specified in ``axis_limit_data``. The dependencies specified in this list are marked to be computed only when there is a node at the magnetic axis. +* ``resolution_requirement``: Resolution requirements in coordinates. + I.e. "r" expects radial resolution in the grid. Likewise, "rtz" is shorthand for + "rho, theta, zeta" and indicates the computation expects a grid with radial, + poloidal, and toroidal resolution. If the computation simply performs + pointwise operations, instead of a reduction (such as integration) over a + coordinate, then an empty string may be used to indicate no requirements. * ``parameterization``: what sorts of DESC objects is this function for. Most functions will just be for ``Equilibrium``, but some methods may also be for ``desc.geometry.core.Curve``, or specific types eg ``desc.geometry.curve.FourierRZCurve``. If a quantity is computed differently @@ -148,8 +155,8 @@ if ``False`` is printed, then the limit of the quantity does not evaluate as fin The tests automatically detect this, so no further action is needed from developers in this case. -The second step is to run the ``test_compute_everything`` test located in the ``tests/test_compute_funs.py`` file. -This can be done with the command :console:`pytest -k test_compute_everything tests/test_compute_funs.py`. +The second step is to run the ``test_compute_everything`` test located in the ``tests/test_compute_everything.py`` file. +This can be done with the command :console:`pytest tests/test_compute_everything.py`. This test is a regression test to ensure that compute quantities in each new update of DESC do not differ significantly from previous versions of DESC. 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