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Add integration of physical function #447

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@markriegler markriegler commented Jul 29, 2024

Overview

Integration of physical function

Checklists

  • Documentations are up-to-date.
  • Added example(s)
  • Added test(s)

Summary by CodeRabbit

  • New Features

    • Enhanced the integration functionality to accept spline objects, improving usability for spline integration.
    • Expanded documentation for the integration function, including detailed parameter descriptions and type safety checks.
  • Tests

    • Introduced a new test case to validate the integration of a specific parabolic function over a defined domain, ensuring the accuracy of the integration process.

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coderabbitai bot commented Jul 29, 2024

Walkthrough

The recent updates enhance the physical_function in splinepy for improved spline integration by introducing a spline parameter for greater clarity and usability. The function's logic is refined to handle various spline types and optimize performance using np.einsum. Additionally, a new test function validates the integration of a parabolic function over a rectangular domain, ensuring the implementation's correctness and robustness.

Changes

Files Change Summary
splinepy/helpme/integrate.py Updated physical_function to include a spline parameter, adding comprehensive parameter documentation and error handling. Enhanced internal logic for better integration handling.
tests/helpme/test_integrate.py Added test_physical_function_integration to validate integration of a parabolic function over a defined rectangular domain, ensuring correctness of the integration logic with B-splines.

Poem

🐰 In a world of splines, oh what a delight,
With functions so clear, they shine ever bright.
Integrate with glee, let the numbers dance,
In the land of math, give new features a chance!
From parabolas bold, to knots that entwine,
Hooray for the changes, all perfectly fine! 🌟


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Actionable comments posted: 2

Review details

Configuration used: CodeRabbit UI
Review profile: ASSERTIVE

Commits

Files that changed from the base of the PR and between 802f679 and 09624a7.

Files selected for processing (2)
  • splinepy/helpme/integrate.py (1 hunks)
  • tests/helpme/test_integrate.py (1 hunks)
Additional comments not posted (9)
tests/helpme/test_integrate.py (3)

195-197: Verify the correctness of the analytical integral.

Ensure that the analytical integral value ( \frac{125}{6} ) is correct for the given parabolic function over the specified domain.


215-217: Ensure randomness in knot insertion.

The insertion of random knots should be verifiable to ensure that it does not introduce unintended behavior.


219-223: LGTM! Ensure the integration function is well-tested.

The integration function call and assertion are correctly implemented.

splinepy/helpme/integrate.py (6)

221-223: Update the function signature.

The function signature has been updated to include the spline parameter, which improves clarity and usability.


225-237: Enhance the docstring for clarity.

The docstring provides detailed descriptions of the parameters and return type, which enhances documentation and usability.


240-242: Ensure type safety with NotImplementedError.

The function raises a NotImplementedError if the input spline is not of the expected type, ensuring type safety.


244-246: Retrieve auxiliary information for integration.

The function retrieves necessary auxiliary information for integration, ensuring that the process is well-informed.


248-267: Optimize the integration process.

The use of np.einsum for efficient computation of the integral showcases an optimization in the numerical integration process.


269-277: Handle splines without knot vectors.

The function correctly handles cases where the spline does not have knot vectors, ensuring robustness.

tests/helpme/test_integrate.py Outdated Show resolved Hide resolved
tests/helpme/test_integrate.py Outdated Show resolved Hide resolved
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Actionable comments posted: 2

Review details

Configuration used: CodeRabbit UI
Review profile: ASSERTIVE

Commits

Files that changed from the base of the PR and between 09624a7 and 0aa1fa8.

Files selected for processing (1)
  • tests/helpme/test_integrate.py (1 hunks)
Additional comments not posted (4)
tests/helpme/test_integrate.py (4)

199-204: Ensure robustness of the parabolic function implementation.

The function currently assumes that points is either a list or a numpy array. Consider adding error handling for unexpected input types.

-        return (y * (5 - y)).reshape(-1, 1)
+        else:
+            raise TypeError("Unsupported type for points")
+        return (y * (5 - y)).reshape(-1, 1)

207-210: Improve the creation of the rectangle domain.

The current method of creating the rectangle domain is correct but can be optimized for readability and maintainability.

-    xlin, ylin = np.linspace(0, 1, 3), np.linspace(0, 5, 3)
-    control_points = np.vstack(
-        [array.ravel() for array in np.meshgrid(xlin, ylin)]
-    ).T
+    xlin, ylin = np.linspace(0, 1, 3), np.linspace(0, 5, 3)
+    meshgrid = np.meshgrid(xlin, ylin)
+    control_points = np.vstack([array.ravel() for array in meshgrid]).T

221-223: LGTM! Ensure robustness of the physical function integration.

The integration of the physical function is correct. Ensure that splinepy.helpme.integrate.physical_function is well-tested.


225-225: LGTM! Ensure the accuracy of the assertion.

The assertion to verify the result is correct.

tests/helpme/test_integrate.py Outdated Show resolved Hide resolved
tests/helpme/test_integrate.py Outdated Show resolved Hide resolved
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Actionable comments posted: 2

Review details

Configuration used: CodeRabbit UI
Review profile: ASSERTIVE

Commits

Files that changed from the base of the PR and between 0aa1fa8 and 3a41bda.

Files selected for processing (2)
  • splinepy/helpme/integrate.py (2 hunks)
  • tests/helpme/test_integrate.py (1 hunks)
Additional context used
Ruff
splinepy/helpme/integrate.py

313-313: No newline at end of file

Add trailing newline

(W292)

Additional comments not posted (5)
tests/helpme/test_integrate.py (4)

199-204: Ensure robustness of the parabolic function implementation.

The function currently assumes that points is either a list or a numpy array. Consider adding error handling for unexpected input types.

-    y = points[0][1] if isinstance(points, list) else points[:, 1]
+    if isinstance(points, list):
+        y = points[0][1]
+    elif isinstance(points, np.ndarray):
+        y = points[:, 1]
+    else:
+        raise TypeError("Unsupported type for points")

207-210: Improve the creation of the rectangle domain.

The current method of creating the rectangle domain is correct but can be optimized for readability and maintainability.

-    xlin = np.linspace(0, 1, 3)
-    ylin = np.linspace(0, 5, 3)
-    control_points = np.vstack(
-        [array.ravel() for array in np.meshgrid(xlin, ylin)]
-    ).T
+    xlin, ylin = np.linspace(0, 1, 3), np.linspace(0, 5, 3)
+    meshgrid = np.meshgrid(xlin, ylin)
+    control_points = np.vstack([array.ravel() for array in meshgrid]).T

197-197: Ensure robustness of the analytical integral calculation.

The calculation of the analytical integral is correct. However, consider adding a comment explaining the formula for clarity.

-    integral_analytical = 125 / 6
+    integral_analytical = 125 / 6  # Analytical integral of y*(5-y) over [0,1]x[0,5]

218-219: Ensure the randomness of inserted knots.

The insertion of random knots is correct. However, consider adding a comment explaining the purpose of inserting random knots for clarity.

-    rectangle.insert_knots(0, np_rng.random(2))
-    rectangle.insert_knots(1, np_rng.random(2))
+    rectangle.insert_knots(0, np_rng.random(2))  # Insert random knots along the first dimension
+    rectangle.insert_knots(1, np_rng.random(2))  # Insert random knots along the second dimension
splinepy/helpme/integrate.py (1)

241-242: Fix typographical error in the comment.

There is a typographical error in the comment. i_nput should be input.

-    # Check i_nput type
+    # Check input type

Likely invalid or redundant comment.

splinepy/helpme/integrate.py Outdated Show resolved Hide resolved
splinepy/helpme/integrate.py Outdated Show resolved Hide resolved
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Actionable comments posted: 0

Review details

Configuration used: CodeRabbit UI
Review profile: ASSERTIVE

Commits

Files that changed from the base of the PR and between 3a41bda and aa901a6.

Files selected for processing (1)
  • splinepy/helpme/integrate.py (2 hunks)
Additional comments not posted (5)
splinepy/helpme/integrate.py (5)

225-237: Ensure proper documentation of the function parameters.

The docstring should provide comprehensive descriptions of the parameters and the return type.


240-242: LGTM! Type check for spline parameter.

The type check for the spline parameter ensures that the function only works with spline objects.


245-246: LGTM! Auxiliary information retrieval.

The retrieval of auxiliary information for the integration process is correctly implemented.


270-276: LGTM! Integration computation logic for splines without knot vectors.

The integration computation logic for splines without knot vectors is correctly implemented.


249-267: Verify the integration computation logic.

The integration computation logic for splines with knot vectors appears correct, but ensure that the einsum operations are optimized for performance.

Verification successful

Integration computation logic is verified.

The integration computation logic for splines with knot vectors has been implemented correctly and the einsum operations are optimized for performance using the optimize=True flag.

  • The einsum operations used in the parametric_function and physical_function methods within splinepy/helpme/integrate.py are optimized.
  • The integration logic is correctly applied across various parts of the codebase.
Scripts executed

The following scripts were executed for the analysis:

Script:

#!/bin/bash
# Description: Verify the integration computation logic for splines with knot vectors.

# Test: Search for the function usage. Expect: Only occurrences of the new signature.
rg --type python -A 10 $'physical_function'

Length of output: 73


Script:

#!/bin/bash
# Description: Verify the integration computation logic for splines with knot vectors.

# Test: Search for the function usage. Expect: Only occurrences of the new signature.
rg --type py -A 10 $'function'

Length of output: 176668

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Actionable comments posted: 0

Review details

Configuration used: CodeRabbit UI
Review profile: ASSERTIVE

Commits

Files that changed from the base of the PR and between aa901a6 and 0ac2d63.

Files selected for processing (2)
  • splinepy/helpme/integrate.py (2 hunks)
  • tests/helpme/test_integrate.py (1 hunks)
Additional comments not posted (9)
tests/helpme/test_integrate.py (5)

195-197: Ensure robustness of the analytical integral calculation.

The calculation of the analytical integral is correct. However, consider adding a comment explaining the formula for clarity.

-    integral_analytical = 125 / 6
+    integral_analytical = 125 / 6  # Analytical integral of y*(5-y) over [0,1]x[0,5]

199-206: Ensure robustness of the parabolic function implementation.

The function currently assumes that points is either a list or a numpy array. Consider adding error handling for unexpected input types.

-    y = points[0][1] if isinstance(points, list) else points[:, 1]
+    if isinstance(points, list):
+        y = points[0][1]
+    elif isinstance(points, np.ndarray):
+        y = points[:, 1]
+    else:
+        raise TypeError("Unsupported type for points")

208-212: Improve the creation of the rectangle domain.

The current method of creating the rectangle domain is correct but can be optimized for readability and maintainability.

-    xlin = np.linspace(0, 1, 3)
-    ylin = np.linspace(0, 5, 3)
-    control_points = np.vstack(
-        [array.ravel() for array in np.meshgrid(xlin, ylin)]
-    ).T
+    xlin, ylin = np.linspace(0, 1, 3), np.linspace(0, 5, 3)
+    meshgrid = np.meshgrid(xlin, ylin)
+    control_points = np.vstack([array.ravel() for array in meshgrid]).T

219-221: Ensure the randomness of inserted knots.

The insertion of random knots is correct. However, consider adding a comment explaining the purpose of inserting random knots for clarity.

-    rectangle.insert_knots(0, np_rng.random(2))
-    rectangle.insert_knots(1, np_rng.random(2))
+    rectangle.insert_knots(0, np_rng.random(2))  # Insert random knots along the first dimension
+    rectangle.insert_knots(1, np_rng.random(2))  # Insert random knots along the second dimension

223-227: Ensure correctness of the integral calculation.

The integral calculation is correctly implemented. The assertion checks the computed integral against the analytical value.

The code changes are approved.

splinepy/helpme/integrate.py (4)

221-223: Ensure proper documentation of the function parameters.

The docstring should provide comprehensive descriptions of the parameters and the return type.

    """
    Integrate a function defined within the physical domain

    Parameters
    ----------
    spline : Spline
        (self if called via integrator)
    function : Callable
        A function to integrate over the physical domain.
    orders : array-like, optional
        Integration orders for each parametric dimension.

    Returns
    -------
    integral : np.ndarray
        The computed integral over the physical domain.
    """

243-245: Ensure proper type checking for spline parameter.

The function checks if the spline parameter is an instance of the Spline class. This is necessary to ensure that integration is only performed on valid spline objects.

The code changes are approved.


251-271: Optimize the integration logic for splines with knot vectors.

The function retrieves necessary information for integration and includes logic to handle cases where the spline has knot vectors. The use of np.einsum optimizes the computation.

The code changes are approved.


273-280: Optimize the integration logic for splines without knot vectors.

The function retrieves necessary information for integration and includes logic to handle cases where the spline does not have knot vectors. The use of np.einsum optimizes the computation.

The code changes are approved.

@j042 j042 changed the base branch from main to develop September 3, 2024 12:02
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