c536f8267f
Documentation for operator.py, span.py, plotter.py. Co-authored-by: Dario Coscia <dariocoscia@dhcp-128.eduroam.sissa.it>
216 lines
7.5 KiB
Python
216 lines
7.5 KiB
Python
""" Module for plotting. """
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import matplotlib
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# matplotlib.use('Qt5Agg')
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import matplotlib.pyplot as plt
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import numpy as np
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import torch
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from pina import LabelTensor
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from pina import PINN
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from .problem import SpatialProblem, TimeDependentProblem
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#from pina.tdproblem1d import TimeDepProblem1D
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class Plotter:
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"""
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Implementation of a plotter class, for easy visualizations.
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"""
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def plot_samples(self, pinn, variables=None):
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"""
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Plot a sample of solution.
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:param pinn: the PINN object.
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:type pinn: PINN
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:param variables: pinn variable domains: spatial or temporal,
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defaults to None.
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:type variables: str, optional
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:Example:
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>>> plotter = Plotter()
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>>> plotter.plot_samples(pinn=pinn, variables='spatial')
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"""
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if variables is None:
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variables = pinn.problem.domain.variables
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elif variables == 'spatial':
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variables = pinn.problem.spatial_domain.variables
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elif variables == 'temporal':
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variables = pinn.problem.temporal_domain.variables
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if len(variables) not in [1, 2, 3]:
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raise ValueError
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fig = plt.figure()
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proj = '3d' if len(variables) == 3 else None
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ax = fig.add_subplot(projection=proj)
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for location in pinn.input_pts:
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coords = pinn.input_pts[location].extract(variables).T.detach()
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if coords.shape[0] == 1: # 1D samples
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ax.plot(coords[0], torch.zeros(coords[0].shape), '.',
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label=location)
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else:
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ax.plot(*coords, '.', label=location)
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ax.set_xlabel(variables[0])
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try:
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ax.set_ylabel(variables[1])
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except:
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pass
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try:
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ax.set_zlabel(variables[2])
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except:
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pass
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plt.legend()
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plt.show()
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def _1d_plot(self, pts, pred, method, truth_solution=None, **kwargs):
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"""Plot solution for one dimensional function
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:param pts: Points to plot the solution.
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:type pts: torch.Tensor
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:param pred: PINN solution evaluated at 'pts'.
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:type pred: torch.Tensor
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:param method: not used, kept for code compatibility
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:type method: None
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:param truth_solution: Real solution evaluated at 'pts',
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defaults to None.
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:type truth_solution: torch.Tensor, optional
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"""
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fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(8, 8))
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ax.plot(pts, pred.detach(), **kwargs)
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if truth_solution:
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truth_output = truth_solution(pts).float()
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ax.plot(pts, truth_output.detach(), **kwargs)
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plt.xlabel(pts.labels[0])
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plt.ylabel(pred.labels[0])
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plt.show()
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def _2d_plot(self, pts, pred, v, res, method, truth_solution=None,
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**kwargs):
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"""Plot solution for two dimensional function
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:param pts: Points to plot the solution.
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:type pts: torch.Tensor
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:param pred: PINN solution evaluated at 'pts'.
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:type pred: torch.Tensor
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:param method: matplotlib method to plot 2-dimensional data,
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see https://matplotlib.org/stable/api/axes_api.html for
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reference.
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:type method: str
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:param truth_solution: Real solution evaluated at 'pts',
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defaults to None.
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:type truth_solution: torch.Tensor, optional
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"""
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grids = [p_.reshape(res, res) for p_ in pts.extract(v).cpu().T]
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pred_output = pred.reshape(res, res)
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if truth_solution:
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truth_output = truth_solution(pts).float().reshape(res, res)
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fig, ax = plt.subplots(nrows=1, ncols=3, figsize=(16, 6))
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cb = getattr(ax[0], method)(
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*grids, pred_output.cpu().detach(), **kwargs)
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fig.colorbar(cb, ax=ax[0])
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cb = getattr(ax[1], method)(
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*grids, truth_output.cpu().detach(), **kwargs)
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fig.colorbar(cb, ax=ax[1])
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cb = getattr(ax[2], method)(*grids,
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(truth_output-pred_output).cpu().detach(),
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**kwargs)
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fig.colorbar(cb, ax=ax[2])
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else:
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fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(8, 6))
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cb = getattr(ax, method)(
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*grids, pred_output.cpu().detach(), **kwargs)
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fig.colorbar(cb, ax=ax)
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def plot(self, pinn, components=None, fixed_variables={}, method='contourf',
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res=256, filename=None, **kwargs):
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"""
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Plot sample of PINN output.
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:param pinn: the PINN object.
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:type pinn: PINN
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:param components: function components to plot, defaults to None.
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:type components: list['str'], optional
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:param fixed_variables: function variables to be kept fixed during
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plotting passed as a dict where the dict-key is the variable
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and the dict-value is the value to be kept fixed, defaults to {}.
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:type fixed_variables: dict, optional
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:param method: matplotlib method to plot the solution,
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defaults to 'contourf'.
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:type method: str, optional
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:param res: number of points used for plotting in each axis,
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defaults to 256.
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:type res: int, optional
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:param filename: file name to save the plot, defaults to None
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:type filename: str, optional
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"""
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if components is None:
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components = [pinn.problem.output_variables]
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v = [
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var for var in pinn.problem.input_variables
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if var not in fixed_variables.keys()
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]
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pts = pinn.problem.domain.sample(res, 'grid', variables=v)
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fixed_pts = torch.ones(pts.shape[0], len(fixed_variables))
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fixed_pts *= torch.tensor(list(fixed_variables.values()))
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fixed_pts = fixed_pts.as_subclass(LabelTensor)
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fixed_pts.labels = list(fixed_variables.keys())
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pts = pts.append(fixed_pts)
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pts = pts.to(device=pinn.device)
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predicted_output = pinn.model(pts)
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if isinstance(components, str):
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predicted_output = predicted_output.extract(components)
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elif callable(components):
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predicted_output = components(predicted_output)
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truth_solution = getattr(pinn.problem, 'truth_solution', None)
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if len(v) == 1:
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self._1d_plot(pts, predicted_output, method, truth_solution,
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**kwargs)
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elif len(v) == 2:
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self._2d_plot(pts, predicted_output, v, res, method,
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truth_solution, **kwargs)
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if filename:
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plt.title('Output {} with parameter {}'.format(components,
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fixed_variables))
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plt.savefig(filename)
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else:
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plt.show()
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def plot_loss(self, pinn, label=None, log_scale=True):
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"""
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Plot the loss function values during traininig.
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:param pinn: the PINN object.
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:type pinn: PINN
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:param label: matplolib label, defaults to None
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:type label: str, optional
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:param log_scale: use of log scale in plotting, defaults to True.
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:type log_scale: bool, optional
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"""
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if not label:
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label = str(pinn)
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epochs = list(pinn.history_loss.keys())
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loss = np.array(list(pinn.history_loss.values()))
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if loss.ndim != 1:
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loss = loss[:, 0]
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plt.plot(epochs, loss, label=label)
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if log_scale:
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plt.yscale('log')
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