From bca6d45efbd7fad0a1cadabe70f09ec18e8aa486 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?K=C3=BChle=2C=20Laura=20Christine=20=28lakue103=29?=
<laura.kuehle@uni-duesseldorf.de>
Date: Tue, 5 Apr 2022 14:27:15 +0200
Subject: [PATCH] Moved 'calculate_cell_average()' to 'Basis'.
---
Basis_Function.py | 52 +++++++++++++++++++++++++++++++++++++++
DG_Approximation.py | 8 +++---
Troubled_Cell_Detector.py | 17 ++++++-------
projection_utils.py | 46 ----------------------------------
4 files changed, 63 insertions(+), 60 deletions(-)
diff --git a/Basis_Function.py b/Basis_Function.py
index e434fce..43fba03 100644
--- a/Basis_Function.py
+++ b/Basis_Function.py
@@ -9,6 +9,8 @@ TODO: Contemplate whether calculating projections during initialization can
import numpy as np
from sympy import Symbol, integrate
+from projection_utils import calculate_approximate_solution
+
x = Symbol('x')
z = Symbol('z')
@@ -37,6 +39,8 @@ class Basis:
Returns basis projections.
get_wavelet_projections()
Returns wavelet projections.
+ calculate_cell_average(projection, stencil_length, add_reconstructions)
+ Calculate cell averages for a given projection.
"""
def __init__(self, polynomial_degree):
@@ -116,6 +120,54 @@ class Basis:
"""Returns wavelet projection."""
pass
+ def calculate_cell_average(self, projection, stencil_length,
+ add_reconstructions=True):
+ """Calculate cell averages for a given projection.
+
+ Calculate the cell averages of all cells in a projection.
+ If desired, reconstructions are calculated for the middle cell
+ and added left and right to it, respectively.
+
+ Parameters
+ ----------
+ projection : ndarray
+ Matrix of projection for each polynomial degree.
+ stencil_length : int
+ Size of data array.
+ add_reconstructions: bool, optional
+ Flag whether reconstructions of the middle cell are included.
+ Default: True.
+
+ Returns
+ -------
+ ndarray
+ Matrix containing cell averages (and reconstructions) for given
+ projection.
+
+ """
+ cell_averages = calculate_approximate_solution(
+ projection, np.array([0]), 0, self._basis)
+
+ if add_reconstructions:
+ middle_idx = stencil_length // 2
+ left_reconstructions, right_reconstructions = \
+ self._calculate_reconstructions(
+ projection[:, middle_idx:middle_idx+1])
+ return np.array(list(map(
+ np.float64, zip(cell_averages[:, :middle_idx],
+ left_reconstructions,
+ cell_averages[:, middle_idx],
+ right_reconstructions,
+ cell_averages[:, middle_idx+1:]))))
+ return np.array(list(map(np.float64, cell_averages)))
+
+ def _calculate_reconstructions(self, projection):
+ left_reconstructions = calculate_approximate_solution(
+ projection, np.array([-1]), self._polynomial_degree, self._basis)
+ right_reconstructions = calculate_approximate_solution(
+ projection, np.array([1]), self._polynomial_degree, self._basis)
+ return left_reconstructions, right_reconstructions
+
class Legendre(Basis):
"""Class for Legendre basis."""
diff --git a/DG_Approximation.py b/DG_Approximation.py
index 27ad5ec..6268644 100644
--- a/DG_Approximation.py
+++ b/DG_Approximation.py
@@ -7,7 +7,7 @@ TODO: Contemplate saving 5-CV split and evaluating models separately
TODO: Contemplate separating cell average and reconstruction calculations
Urgent:
-TODO: Move calculate_cell_average() to Basis
+TODO: Move calculate_cell_average() to Basis -> Done
TODO: Hard-code simplification of cell average/reconstruction in basis
TODO: Make basis variables public (if feasible)
TODO: Contain polynomial degree in basis
@@ -66,7 +66,6 @@ import Limiter
import Quadrature
import Update_Scheme
from Basis_Function import OrthonormalLegendre
-from projection_utils import calculate_cell_average
from encoding_utils import encode_ndarray
x = Symbol('x')
@@ -322,10 +321,9 @@ class DGScheme:
left_bound=self._left_bound, right_bound=self._right_bound,
polynomial_degree=self._polynomial_degree, adjustment=adjustment)
- return calculate_cell_average(
+ return self._basis.calculate_cell_average(
projection=projection[:, 1:-1], stencil_length=stencil_length,
- polynomial_degree=self._polynomial_degree if add_reconstructions
- else -1, basis=self._basis)
+ add_reconstructions=add_reconstructions)
def do_initial_projection(initial_condition, basis, quadrature,
diff --git a/Troubled_Cell_Detector.py b/Troubled_Cell_Detector.py
index 4d2aa60..00447cf 100644
--- a/Troubled_Cell_Detector.py
+++ b/Troubled_Cell_Detector.py
@@ -12,7 +12,6 @@ import numpy as np
import torch
import ANN_Model
-from projection_utils import calculate_cell_average
class TroubledCellDetector:
@@ -215,14 +214,14 @@ class ArtificialNeuralNetwork(TroubledCellDetector):
projection[:, :num_ghost_cells]), axis=1)
# Calculate input data depending on stencil length
- input_data = torch.from_numpy(np.vstack([calculate_cell_average(
- projection=projection[
- :, cell-num_ghost_cells:cell+num_ghost_cells+1],
- stencil_length=self._stencil_len, basis=self._basis,
- polynomial_degree=self._polynomial_degree if
- self._add_reconstructions else -1)
- for cell in range(num_ghost_cells,
- len(projection[0])-num_ghost_cells)]))
+ input_data = torch.from_numpy(np.vstack([
+ self._basis.calculate_cell_average(
+ projection=projection[
+ :, cell-num_ghost_cells:cell+num_ghost_cells+1],
+ stencil_length=self._stencil_len,
+ add_reconstructions=self._add_reconstructions)
+ for cell in range(num_ghost_cells,
+ len(projection[0])-num_ghost_cells)]))
# Determine troubled cells
model_output = torch.argmax(self._model(input_data.float()), dim=1)
diff --git a/projection_utils.py b/projection_utils.py
index ebc0d09..7b5d774 100644
--- a/projection_utils.py
+++ b/projection_utils.py
@@ -104,49 +104,3 @@ def calculate_exact_solution(
grid = np.reshape(np.array(grid), (1, len(grid) * len(grid[0])))
return grid, exact
-
-
-def calculate_cell_average(projection, basis, stencil_length,
- polynomial_degree=-1):
- """Calculate cell averages for a given projection.
-
- Calculate the cell averages of all cells in a projection.
- If desired, reconstructions are calculated for the middle cell
- and added left and right to it, respectively.
-
- Parameters
- ----------
- projection : ndarray
- Matrix of projection for each polynomial degree.
- basis : Basis object
- Basis for calculation.
- stencil_length : int
- Size of data array.
- polynomial_degree : int, optional
- Polynomial degree for reconstructions of the middle cell. If -1 no
- reconstructions will be included. Default: -1.
-
- Returns
- -------
- ndarray
- Matrix containing cell averages (and reconstructions) for initial
- projection.
-
- """
- basis_vector = basis.get_basis_vector()
- cell_averages = calculate_approximate_solution(
- projection, np.array([0]), 0, basis_vector)
-
- if polynomial_degree != -1:
- left_reconstructions = calculate_approximate_solution(
- projection, np.array([-1]), polynomial_degree, basis_vector)
- right_reconstructions = calculate_approximate_solution(
- projection, np.array([1]), polynomial_degree, basis_vector)
- middle_idx = stencil_length // 2
- return np.array(list(map(
- np.float64, zip(cell_averages[:, :middle_idx],
- left_reconstructions[:, middle_idx],
- cell_averages[:, middle_idx],
- right_reconstructions[:, middle_idx],
- cell_averages[:, middle_idx+1:]))))
- return np.array(list(map(np.float64, cell_averages)))
--
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