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Utillities package for the course Applied statistics taught at UCPH in the fall of 2023

Project description

Test package for appstatpy for the applied statistics course

format_value(value, decimals)

Formats a value based on its type.

This function takes a value and a 'decimals' parameter and formats the value
according to its type. If the value is a float or an integer, it will be
formatted with the specified number of decimals. Otherwise, the value will
be returned as-is.

###Args:
    value (float, int, or any): The value to be formatted.
    decimals (int): The number of decimals to be used when formatting
        float or integer values. Ignored for other types.

###Returns:
    str: The formatted value as a string.

###Examples:
    >>> format\_value(3.14159, 2)
    '3.14'
    >>> format\_value(42, 0)
    '42'

values_to_string(values, decimals):

Converts a list of values to formatted strings.

This function takes a list of values and a 'decimals' parameter and converts
each value in the list to a formatted string using the 'format\_value'
function. If a value within the list is itself a list (e.g., representing a
value with uncertainty), it will be formatted as "value +/- uncertainty".

###Args:
    values (list): A list of values to be converted to strings.
    decimals (int): The number of decimals to be used when formatting
        float or integer values. Ignored for other types.

###Returns:
    list of str: A list of formatted strings corresponding to the input values.

###Examples:
    >>> values\_to\_string([3.14159, 42, 'Hello'], 2)
    ['3.14', '42', 'Hello']
    >>> values\_to\_string([[2.0, 0.1], 1.5], 1)
    ['2.0 +/- 0.1', '1.5']

###Note:
    This function relies on the 'format\_value' function for value formatting.

Certainly! Here's the documentation for your len\_of\_longest\_string function:

len_of_longest_string(strings):

Returns the length of the longest string in a list of strings.

This function takes a list of strings as input and returns the length of the
longest string in the list.

###Args:
    strings (list of str): A list of strings for which the longest length
        is to be determined.

###Returns:
    int: The length of the longest string in the input list of strings.

###Examples:
    >>> len\_of\_longest\_string(['apple', 'banana', 'cherry'])
    6
    >>> len\_of\_longest\_string(['Hello', 'world'])
    5

nice_string_output(d, extra_spacing=5, decimals=3):

Formats and outputs a dictionary with aligned names and values.

This function takes a dictionary 'd' containing names and corresponding values
to be properly formatted. It ensures that the distance between the names and
the values in the printed output has a minimum distance of 'extra\_spacing'.
The number of decimals used for formatting can be specified using the 'decimals'
keyword.

###Args:
    d (dict): A dictionary containing names (keys) and values to be formatted
        and displayed.
    extra\_spacing (int, optional): The minimum additional spacing between names
        and values in the printed output. Default is 5.
    decimals (int, optional): The number of decimals to be used when formatting
        float or integer values. Ignored for other types. Default is 3.

###Returns:
    str: A formatted string representation of the dictionary with aligned names
        and values.

###Examples:
    >>> data = {'apple': 3.14159, 'banana': 42, 'cherry': 1.618}
    >>> nice\_string\_output(data, extra\_spacing=4, decimals=2)
    'apple   3.14    \nbanana  42      \ncherry   1.62'

###Note:
    This function relies on the 'len\_of\_longest\_string' and 'values\_to\_string'
    functions for value formatting.

def add_text_to_ax(x_coord, y_coord, string, ax, fontsize=12, color='k'):

Adds text to a matplotlib axes with specified properties.

This function is a shortcut to add text to a Matplotlib axes with proper font
settings. The text is positioned using relative coordinates with respect to
the axes.

###Args:
    x\_coord (float): The x-coordinate of the text, relative to the axes.
    y\_coord (float): The y-coordinate of the text, relative to the axes.
    string (str): The text to be added to the axes.
    ax (matplotlib.axes.Axes): The Matplotlib axes to which the text will be added.
    fontsize (int, optional): The font size of the text. Default is 12.
    color (str or tuple, optional): The color of the text. Default is 'k' (black).

###Returns:
    None

###Examples:
    >>> import matplotlib.pyplot as plt
    >>> fig, ax = plt.subplots()
    >>> add\_text\_to\_ax(0.5, 0.5, 'Hello, World!', ax, fontsize=16, color='blue')

###Note:
    This function uses Matplotlib's `text` function for adding the text to the axes.

Chi2Regression:

Chi-square regression class for fitting data to a model using chi-square statistics.

This class represents a chi-square regression for fitting data to a model.
It computes the chi-square value for the provided data and model prediction.

###Args:
    f (callable): A callable function representing the model.
    x (numpy.ndarray): An array of input values for the model.
    y (numpy.ndarray): An array of observed data values.
    sy (numpy.ndarray or None, optional): An array of uncertainties in the observed data.
        If None, an array of ones\_like 'x' will be used. Default is None.
    weights (numpy.ndarray or None, optional): An array of weights for the data points.
        If None, an array of ones\_like 'x' will be used. Default is None.
    bound (tuple or None, optional): A tuple representing the lower and upper bounds for 'x'.
        Data outside this bound will be excluded from the computation. Default is None.

simpson38(f, edges, bw, *arg):

Numerical integration using Simpson's 3/8 rule.

This function performs numerical integration using Simpson's 3/8 rule.
It takes a function 'f', bin edges 'edges', a bin width 'bw', and variable arguments '*arg'.
The integration is performed using the function values at the edges and intermediate points.

###Args:
    f (callable): A callable function for which integration is to be performed.
    edges (numpy.ndarray): An array of bin edges.
    bw (float): The bin width.
    *arg: Variable arguments to be passed to the function 'f'.

###Returns:
    float: The result of the numerical integration using Simpson's 3/8 rule.

integrate1d(f, bound, nint, *arg):

Compute 1D integral using numerical integration.

This function computes the 1D integral of a function using numerical integration.
It takes a callable function 'f', a bound 'bound', a number of intervals 'nint',
and variable arguments '*arg'. The function values are evaluated at the bin edges
and integrated using Simpson's 3/8 rule.

###Args:
    f (callable): A callable function for which integration is to be performed.
    bound (tuple): A tuple representing the lower and upper bounds of integration.
    nint (int): The number of intervals for numerical integration.
    *arg: Variable arguments to be passed to the function 'f'.

###Returns:
    float: The result of the 1D numerical integration.

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