Docstring Specification: Python Functions

Analyze all function definitions provided, improve the docstrings, and ensure clarity, consistency, and adherence to best practices.

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High-Level Objective

• Improve Documentation Clarity:
  Ensure that all function docstrings follow a structured and readable format, using clear parameter descriptions and return values.

• Include Mathematical Equations:
  When applicable, include equations in Unicode format to enhance readability and scientific accuracy.

• Ensure Consistency:
  Maintain a uniform style for docstrings, ensuring proper indentation, spacing, and structure.

• ADD EXAMPLES:
  Add examples to demonstrate function usage, if applicable.

• Include References:
  Add a "References" section when applicable, citing sources such as Wikipedia pages, journal articles, or books for scientific validity.

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Mid-Level Objectives

• Standardized Docstring Format:
  Use the following format:

def function_name(param1: type, param2: type) -> return_type:
    """
    Brief description of what the function does.

    A description of the function, including the purpose
    and methodology. Can be multiple lines. Where calculated as:

    - φ = (γ × β) / c
        - φ is Description of φ.
        - γ is Description of γ.
        - β is Description of β.
        - c is Description of the constant.

    Arguments:
        - param1 : Description of param1.
        - param2 : Description of param2.

    Returns:
        - Description of the return value.

    Examples:
        ``` py title="Example title"
        import package_name as np
        np.function_name(2, 3)
        # Output: 1.5
        ```

        ``` py title="Example Usage 2 array input"
        import package_name as np
        np.function_name(np.array([4,5,5]), np.array([2,3,4]))
        # Output: array([4.0, 1.66666667, 1.25])
        ```

    References:
        - Author Name, "Title of the Article," Journal Name, Volume, Issue, Year.
            [DOI](url_link)
        - "Article Title",
          [Wikipedia](link)
    """
    return (param1 * param2) / CONSTANT

• Mathematical Equation Representation:

• If needed, include mathematical equations in Unicode format (e.g., C = (P × M) / (R × T)) for broader compatibility.

• Consistent Spacing and Formatting:

• Ensure a space after : in Arguments: descriptions.
• Maintain proper indentation and line breaks, (- parameter : Description)
• Use examples to demonstrate function usage.
• Use a "References" section to cite sources.

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Implementation Steps

1. Analyze the Function Docstrings

Review each function's existing docstring to identify issues, including:
- Incorrect parameter names
- Inconsistent formatting
- Missing or unclear descriptions
- Lack of references when needed

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2. Update Docstrings for Clarity and Readability

• UPDATE function descriptions for clarity.
• All parameter descriptions follow the same style (- parameter : Description). Using a hyphen, colon, and space before the description.
• UPDATE all parameters and return values are described.
• CHECK all line lengths are 79 characters or less, for readability.
• USE equations in Unicode format when applicable.
• DEFINE each variable and the equation in a clear and concise manner, in style '- variable is describe variable'.
• ADD References for scientific accuracy.

Example Before:

def calculate_concentration(partial_pressure, molar_mass, temperature):
    """Calculate the concentration of a gas from its partial pressure, molar mass, and temperature using the ideal gas law.

    Parameters:
    pressure (float or NDArray[np.float64]): Partial pressure of the gas
    in Pascals (Pa).
    molar_mass (float or NDArray[np.float64]): Molar mass of the gas in kg/mol
    temperature (float or NDArray[np.float64]): Temperature in Kelvin.

    Returns:
    - concentration (float or NDArray[np.float64]): Concentration of the gas
    in kg/m^3.
    """
    return (partial_pressure * molar_mass) / (float(GAS_CONSTANT) * temperature)

Example After (With Reference):

def get_calculate_concentration(
    partial_pressure: Union[float, NDArray[np.float64]],
    molar_mass: Union[float, NDArray[np.float64]],
    temperature: Union[float, NDArray[np.float64]],
) -> Union[float, NDArray[np.float64]]:
    """
    Calculate the concentration of a gas using the ideal gas law.

    The concentration is determined using the equation:

    - C = (P × M) / (R × T)
        - C is the concentration in kg/m³,
        - P is the partial pressure in Pascals (Pa),
        - M is the molar mass in kg/mol,
        - R is the universal gas constant (J/(mol·K)),
        - T is the temperature in Kelvin.

    Arguments:
        - partial_pressure : Partial pressure of the gas in Pascals (Pa).
        - molar_mass : Molar mass of the gas in kg/mol.
        - temperature : Temperature in Kelvin.

    Returns:
        - Concentration of the gas in kg/m³.

    Examples:
        ``` py title="Example Usage"
        import particula as par
        par.gas.get_calculate_concentration(1.5, 0.02897, 298)
        # Output: 1.6175
        ```

    References:
        - "Ideal Gas Law,"
          [Wikipedia](https://en.wikipedia.org/wiki/Ideal_gas_law)
        - J. D. Lee, *Physical Chemistry*, 5th ed., Oxford University
          Press, 2019.
    """
    return (partial_pressure * molar_mass) / (float(GAS_CONSTANT) * temperature)

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3. Apply Consistency Rules

Ensure that:
- All Argument descriptions follow the same style (parameter : Description).
- Equations are formatted in Unicode for clarity.
- A "References" section is included when citing sources.
- All docstrings use a structured format for easy readability.

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Final Checklist

• Docstrings follow a consistent format (brief description, equation, arguments, return values, references).
• Equations are formatted properly (Unicode, based on the context).
• Parameter names and descriptions are accurate.
• Proper spacing and indentation are used.
• References are included when applicable.
• All functions have complete and clear docstrings.

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