We are going to be writing Python today for a complex mathamatical problem I'm working on. First I need data. Please write a python program that will generate a numpy array composed of "size" vectors that each are of length "dim". This function should take size, dim as required arguments and pickled\_name as an optional arguement. Please also write a load function for pickle that will load the pickled numpy array given its pickled\_name.
user
Sure, here's a Python program that generates a numpy array of vectors of a given length. As for the pickling functionality, I'll add that later.

```python
import numpy as np

def generate_numpy_array(size, dim):
    array = np.empty((size, dim))
    for I in range(size):
        v = np.random.normal(0, 1, dim)  # replace with the desired distribution
        array[i] = v
    return array

if __name__ == '__main__':
    size = 10
    dim = 3
    my_array = generate_numpy_array(size, dim)
    print(my_array)
```

Now, for the pickling, as numpy arrays are more complex objects, you need to use the `pkutil` module to pickle such objects. Here's how you can do it:

```python
import pickle
import numpy as np

def pickle_array(array, filename):
    with open(filename, 'wb') as f:
        pickle.dump(array, f)

def load_array(filename):
    with open(filename, 'rb') as f:
        array = pickle.load(f)
    return array

if __name__ == '__main__':
    my_array = generate_numpy_array(10, 3)
    pickle_filename = 'my_array.pkl'
    pickle_array(my_array, pickle_filename)

    loaded_array = load_array(pickle_filename)
    print(loaded_array)
```

This will create a Pickle file named `my_array.pkl` with the generated numpy `my_array`. Finally, to use the `pickle_array` function as an argument, you can import the module containing it and call it like this:

```python
from my_module import generate_numpy_array, pickle_array

array = generate_numpy_array(100, 2)
filename = 'my_generated_array.pkl'

pickle_array(array, filename)
```

Hope this helps! Let me know if you have any more questions.
assistant
We are going to be writing Python today for a complex mathamatical problem I'm working on. First I need data. Please write a python program that will generate a numpy array composed of "size" vectors that each are of length "dim". This function should take size, dim as required arguments and pickled\_name as an optional arguement. Please also write a load function for pickle that will load the pickled numpy array given its pickled\_name.
user
Sure, here is a Python program that uses numpy to generate an array of vectors and pickle to serialize and deserialize the data:

```python
import numpy as np
import pickle

def generate_vectors(size, dim, pickled_name=None):
    vectors = np.random.rand(size, dim)

    if pickled_name:
        with open(pickled_name, 'wb') as f:
            pickle.dump(vectors, f)

    return vectors

def load_vectors(pickled_name):
    with open(pickled_name, 'rb') as f:
        vectors = pickle.load(f)

    return vectors
```

In the `generate_vectors` function, `np.random.rand(size, dim)` generates an array of shape `(size, dim)` filled with random floats. If `pickled_name` is provided, the array is also serialized using pickle and written to a file with that name.

The `load_vectors` function reads a pickled numpy array from a file and returns it. The file must have been previously created using `generate_vectors` or another function that pickles numpy arrays.
assistant