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Numpy based step function library.

Project description

Hot Stepper

The Hot Stepper library is for exploring datasets via step function expansions.

It's all about tools that just work and no need for extensive knowledge of Pandas or Numpy or whatever, just HotStepper!. Albeit, knowledge of Pandas and Numpy is useful.

Documentation Status

Installation

HotStepper can be installed from PyPI:

pip install hotstepper

Conda install coming soon!

Documentation

Everything (mostly) you want to know about HotStepper and making use in your workflow is here Read the Docs

Step Functions ah?

Daily TemperatureStore

What the f*&^ is a step function you may ask?, Have you ever seen some stairs?, this is an equal oppotunity package, so you may be in a wheel chair and unable to use stairs in the typical way, so just having seen some stairs will suffix.

Instead of providing a strict mathematical definition that we can all wank off about, how bout just some simple comparisons to warm us up? If you still need to have a wank, feel free to step out (pun intended) anytime.

What is a function? ok, how about just some data we could plot? let's go home school, say we have a vector...oh f&^%, what is that? ok ok, how about just a list of numbers, say y = (1, 1, 2, 3, 5, 8, 13, 21), to keep the wanking impulse alive, we could say that this is a discrete function where we can index the values from left to right with an integer, for example y(x) = (1,1,2,3,5,8,13,21), {x: x\in \mathbb{N}}, so that we could do something fancy like y(5) = 8, since we are starting at n = 0.

Alright, if we just plot y(n) with straight lines connecting the points, we'd get something like,

    def fibo_sequence(n):
        f0 = 0
        fn = 1

        for _ in range(n):
            yield fn
            f0, fn = fn, f0 + fn

    sequence_length = 8
    x = np.arange(0,8,1,dtype=int)
    y = np.array(list(fibo_sequence(sequence_length)),dtype=int)

    fig,ax = plt.subplots()
    ax.plot(x,y)

Fibonacci Step Plot

Now what if we only start with the rules of the fibonacci sequence, we can generate a step sequence directly.

    def fibo_step_sequence(n):
        f0 = 0
        fn = 1

        for i in range(n):
            yield Step(start=i,weight=(fn - f0))
            f0, fn = fn, f0 + fn

    sequence_length = 8
    st = Steps().add([f for f in fibo_step_sequence(sequence_length)])

    ax = st.plot()
    st.smooth_plot(color='g',ax=ax,smooth_factor=0.3)
    plt.setp(ax, title='Fibo Steps and Components',xlabel='Index', ylabel='Steps Value')

    #Our steps object contains individual step functions, we can iterate over these directly, nice!
    for s in st:
        s.plot(ax=ax,linestyle='-.')
        s.smooth_plot(ax=ax,linestyle='-.',color='g')

Fibonacci Step Plot

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