|
| 1 | +import numpy as np |
| 2 | + |
| 3 | +from . import ( |
| 4 | + BaseSaveGeoH5, |
| 5 | + InversionDirective, |
| 6 | + SaveModelGeoH5, |
| 7 | + Update_IRLS, |
| 8 | + UpdateIRLS, |
| 9 | + UpdateSensitivityWeights, |
| 10 | +) |
| 11 | +from ..maps import SphericalSystem |
| 12 | +from ..meta.simulation import MetaSimulation |
| 13 | +from ..objective_function import ComboObjectiveFunction |
| 14 | +from ..regularization import CrossGradient |
| 15 | +from ..utils.mat_utils import cartesian2amplitude_dip_azimuth |
| 16 | +from ..utils import set_kwargs, spherical2cartesian, cartesian2spherical |
| 17 | + |
| 18 | + |
| 19 | +class ProjectSphericalBounds(InversionDirective): |
| 20 | + r""" |
| 21 | + Trick for spherical coordinate system. |
| 22 | + Project \theta and \phi angles back to [-\pi,\pi] using |
| 23 | + back and forth conversion. |
| 24 | + spherical->cartesian->spherical |
| 25 | + """ |
| 26 | + |
| 27 | + def initialize(self): |
| 28 | + x = self.invProb.model |
| 29 | + # Convert to cartesian than back to avoid over rotation |
| 30 | + nC = int(len(x) / 3) |
| 31 | + xyz = spherical2cartesian(x.reshape((nC, 3), order="F")) |
| 32 | + m = cartesian2spherical(xyz.reshape((nC, 3), order="F")) |
| 33 | + self.invProb.model = m |
| 34 | + self.opt.xc = m |
| 35 | + |
| 36 | + for misfit in self.dmisfit: |
| 37 | + if getattr(misfit, "model_map", None) is not None: |
| 38 | + misfit.simulation.model = misfit.model_map @ m |
| 39 | + else: |
| 40 | + misfit.simulation.model = m |
| 41 | + |
| 42 | + def endIter(self): |
| 43 | + for misfit in self.dmisfit.objfcts: |
| 44 | + if ( |
| 45 | + hasattr(misfit.simulation, "model_type") |
| 46 | + and misfit.simulation.model_type == "vector" |
| 47 | + ): |
| 48 | + mapping = misfit.model_map.deriv(np.zeros(misfit.model_map.shape[1])) |
| 49 | + indices = ( |
| 50 | + mapping.indices |
| 51 | + ) # np.array(np.sum(mapping, axis=0)).flatten() > 0 |
| 52 | + nC = int(len(indices) / 3) |
| 53 | + vec = self.invProb.model[indices] |
| 54 | + # Convert to cartesian than back to avoid over rotation |
| 55 | + xyz = spherical2cartesian(vec.reshape((nC, 3), order="F")) |
| 56 | + vec = cartesian2spherical(xyz.reshape((nC, 3), order="F")) |
| 57 | + self.invProb.model[indices] = vec |
| 58 | + |
| 59 | + phi_m_last = [] |
| 60 | + for reg in self.reg.objfcts: |
| 61 | + reg.model = self.invProb.model |
| 62 | + phi_m_last += [reg(self.invProb.model)] |
| 63 | + |
| 64 | + self.invProb.phi_m_last = phi_m_last |
| 65 | + self.opt.xc = self.invProb.model |
| 66 | + |
| 67 | + for misfit in self.dmisfit.objfcts: |
| 68 | + if getattr(misfit, "model_map", None) is not None: |
| 69 | + misfit.simulation.model = misfit.model_map @ self.invProb.model |
| 70 | + else: |
| 71 | + misfit.simulation.model = self.invProb.model |
| 72 | + |
| 73 | + |
| 74 | +class VectorInversion(InversionDirective): |
| 75 | + """ |
| 76 | + Control a vector inversion from Cartesian to spherical coordinates. |
| 77 | + """ |
| 78 | + |
| 79 | + chifact_target = 1.0 |
| 80 | + reference_model = None |
| 81 | + mode = "cartesian" |
| 82 | + inversion_type = "mvis" |
| 83 | + norms = [] |
| 84 | + alphas = [] |
| 85 | + cartesian_model = None |
| 86 | + mappings = [] |
| 87 | + regularization = [] |
| 88 | + |
| 89 | + def __init__( |
| 90 | + self, simulations: list, regularizations: ComboObjectiveFunction, **kwargs |
| 91 | + ): |
| 92 | + self.reference_angles = (False, False, False) |
| 93 | + self.simulations = simulations |
| 94 | + self.regularizations = regularizations |
| 95 | + |
| 96 | + set_kwargs(self, **kwargs) |
| 97 | + |
| 98 | + @property |
| 99 | + def target(self): |
| 100 | + if getattr(self, "_target", None) is None: |
| 101 | + nD = 0 |
| 102 | + for survey in self.survey: |
| 103 | + nD += survey.nD |
| 104 | + |
| 105 | + self._target = nD * self.chifact_target |
| 106 | + |
| 107 | + return self._target |
| 108 | + |
| 109 | + @target.setter |
| 110 | + def target(self, val): |
| 111 | + self._target = val |
| 112 | + |
| 113 | + def initialize(self): |
| 114 | + for reg in self.reg.objfcts: |
| 115 | + reg.model = self.invProb.model |
| 116 | + |
| 117 | + self.reference_model = reg.reference_model |
| 118 | + |
| 119 | + for dmisfit in self.dmisfit.objfcts: |
| 120 | + if getattr(dmisfit.simulation, "coordinate_system", None) is not None: |
| 121 | + dmisfit.simulation.coordinate_system = self.mode |
| 122 | + |
| 123 | + def endIter(self): |
| 124 | + if ( |
| 125 | + self.invProb.phi_d < self.target |
| 126 | + ) and self.mode == "cartesian": # and self.inversion_type == 'mvis': |
| 127 | + print("Switching MVI to spherical coordinates") |
| 128 | + self.mode = "spherical" |
| 129 | + self.cartesian_model = self.invProb.model |
| 130 | + model = self.invProb.model |
| 131 | + vec_model = [] |
| 132 | + vec_ref = [] |
| 133 | + indices = [] |
| 134 | + for reg in self.regularizations.objfcts: |
| 135 | + vec_model.append(reg.mapping * model) |
| 136 | + vec_ref.append(reg.mapping * reg.reference_model) |
| 137 | + mapping = reg.mapping.deriv(np.zeros(reg.mapping.shape[1])) |
| 138 | + indices.append(mapping.indices) |
| 139 | + |
| 140 | + indices = np.hstack(indices) |
| 141 | + nC = mapping.shape[0] |
| 142 | + vec_model = cartesian2spherical(np.vstack(vec_model).T) |
| 143 | + vec_ref = cartesian2spherical(np.vstack(vec_ref).T).flatten() |
| 144 | + model[indices] = vec_model.flatten() |
| 145 | + |
| 146 | + angle_map = [] |
| 147 | + for ind, (reg_fun, ref_angle) in enumerate( |
| 148 | + zip(self.regularizations.objfcts, self.reference_angles) |
| 149 | + ): |
| 150 | + reg_fun.model = model |
| 151 | + reg_fun.reference_model[indices] = vec_ref |
| 152 | + |
| 153 | + if ind > 0: |
| 154 | + if not ref_angle: |
| 155 | + reg_fun.alpha_s = 0 |
| 156 | + |
| 157 | + reg_fun.eps_q = np.pi |
| 158 | + reg_fun.units = "radian" |
| 159 | + angle_map.append(reg_fun.mapping) |
| 160 | + else: |
| 161 | + reg_fun.units = "amplitude" |
| 162 | + |
| 163 | + # Change units of cross-gradient on angles |
| 164 | + multipliers = [] |
| 165 | + for mult, reg in self.reg: |
| 166 | + if isinstance(reg, CrossGradient): |
| 167 | + units = [] |
| 168 | + for _, wire in reg.wire_map.maps: |
| 169 | + if wire in angle_map: |
| 170 | + units.append("radian") |
| 171 | + mult = 0 # TODO Make this optional |
| 172 | + else: |
| 173 | + units.append("metric") |
| 174 | + |
| 175 | + reg.units = units |
| 176 | + |
| 177 | + multipliers.append(mult) |
| 178 | + |
| 179 | + self.reg.multipliers = multipliers |
| 180 | + self.invProb.beta *= 2 |
| 181 | + self.invProb.model = model |
| 182 | + self.opt.xc = model |
| 183 | + self.opt.lower[indices] = np.kron( |
| 184 | + np.asarray([0, -np.inf, -np.inf]), np.ones(nC) |
| 185 | + ) |
| 186 | + self.opt.upper[indices[nC:]] = np.inf |
| 187 | + |
| 188 | + for simulation in self.simulations: |
| 189 | + if isinstance(simulation, MetaSimulation): |
| 190 | + for sim in simulation.simulations: |
| 191 | + sim.chiMap = SphericalSystem() * sim.chiMap |
| 192 | + else: |
| 193 | + simulation.chiMap = SphericalSystem() * simulation.chiMap |
| 194 | + |
| 195 | + # Add and update directives |
| 196 | + for directive in self.inversion.directiveList.dList: |
| 197 | + if ( |
| 198 | + isinstance(directive, SaveModelGeoH5) |
| 199 | + and cartesian2amplitude_dip_azimuth in directive.transforms |
| 200 | + ): |
| 201 | + transforms = [] |
| 202 | + |
| 203 | + for fun in directive.transforms: |
| 204 | + if fun is cartesian2amplitude_dip_azimuth: |
| 205 | + transforms += [spherical2cartesian] |
| 206 | + transforms += [fun] |
| 207 | + |
| 208 | + directive.transforms = transforms |
| 209 | + |
| 210 | + elif isinstance(directive, Update_IRLS | UpdateIRLS): |
| 211 | + directive.sphericalDomain = True |
| 212 | + directive.model = model |
| 213 | + directive.coolingFactor = 1.5 |
| 214 | + |
| 215 | + elif isinstance(directive, UpdateSensitivityWeights): |
| 216 | + directive.every_iteration = True |
| 217 | + |
| 218 | + directiveList = [ |
| 219 | + ProjectSphericalBounds() |
| 220 | + ] + self.inversion.directiveList.dList |
| 221 | + self.inversion.directiveList = directiveList |
| 222 | + |
| 223 | + for directive in directiveList: |
| 224 | + if not isinstance(directive, BaseSaveGeoH5): |
| 225 | + directive.endIter() |
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