Description:

recursionvisualizer 0.0.1

recursion-visualizer

Stop drawing recursion trees by hand.
RecursionVisualizer
creates beautiful, interactive visualizations with a single line of
code.
Visualize computing the n-th fibonacci
number like this:
@RecursionVisualizer()
def fibonacci(n):
if n <= 2:
return 1
return fibonacci(n-1) + fibonacci(n-2)

fibonacci(5)

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(None, 5)

Install
pip install recursion_visualizer

or
conda install -c conda-forge recursion_visualizer

How to Use
Simply add the
RecursionVisualizer
decorator to your recursive function and get a beautiful, interactive
animation!
Toggle the DP button to visualize which function calls are evaluated
with and without dynamic programming (DP).
Examples
Fibonacci
Visualize computing the n-th fibonacci
number like this:
@RecursionVisualizer()
def fibonacci(n):
if n <= 2:
return 1
return fibonacci(n-1) + fibonacci(n-2)

fibonacci(5)

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(None, 5)

There are several things to note:

Each node represents a single call to fibonacci
If fibonacci(i) calls fibonacci(i-1) and fibonacci(i-2), then
the node i will have children i-1 and i-2
The tree is rooted at 5 because we initially called the function
fibonacci(5)
1 and 2 are the the leaves of this tree because the base cases of
fibonacci is when i=1 or i=2
The animation illustrates the order in which the computer evaluates
all of the fibonacci calls
Toggle the DP button to see how using dynamic programming (DP)
changes which function calls are evaluated

0-1 Knapsack
Visualzie the 0-1
knapsack
problem like this:
@RecursionVisualizer(display_args=[0])
def knapsack(capacity, weights, values, i, edge_label=''):

# create edge labels
label_1 = 'skip W={}, V={}'.format(weights[i-1], values[i-1])
label_2 = 'skip W={}, V={}'.format(weights[i-1], values[i-1])
label_3 = 'take W={}, V={}'.format(weights[i-1], values[i-1])

# base case
if i == 0 or capacity == 0:
return 0

# if the weight of the current item is more than the capacity
if weights[i-1] > capacity:
return knapsack(capacity, weights, values, i-1, edge_label=label_1)

# return the maximum of two cases: including the ith-item or not including it
return max(knapsack(capacity, weights, values, i-1, edge_label=label_2),
values[i-1] + knapsack(capacity-weights[i-1], weights, values, i-1, edge_label=label_3))

weights = [10, 20]
values = [60, 100]
capacity = 50

knapsack(capacity, weights, values, len(weights))

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(None, 160)

There are several things to note:

Each node represents a single call to the knapsack function
The display_args=[0] parameter in @RecursionVisualizer means that
even though knapsack takes in four arguments, we will only display
the 0th argument in each node
Each node displays the the capacity, how much more weight you can add
to your knapsack (this is the 0th argument to knapsack)
This tree has a branching factor of two because every level represents
either taking or not taking the ith item

Edit Distance
Visualize computing the edit
distance like this:
@RecursionVisualizer(display_args=[0, 1])
def edit_distance(m, n, str1, str2, edge_label=''):

# edge labels
replace_label = 's1={}, s2={}'.format(str1[:m], str2[:n])
insert_label = 's1={}, s2={}'.format(str1[:m+1], str2[:n])
remove_label = 's1={}, s2={}'.format(str1[:m], str2[:n+1])

# base case
if m == 0 or n == 0:
return max(n, m)

# if the last characters are the same: compute distance for the remaining strings
if str1[m-1] == str2[n-1]:
return edit_distance(m-1, n-1, str1, str2, edge_label=replace_label)

# if last characters are not the same: insert, remove, and replace the last character, and return the minimum
return 1 + min(edit_distance(m, n-1, str1, str2, edge_label=insert_label), # insert
edit_distance(m-1, n, str1, str2, edge_label=remove_label), # remove
edit_distance(m-1, n-1, str1, str2, edge_label=replace_label) # replace
)

str1, str2 = "it", "hi"
edit_distance(len(str1), len(str2), str1, str2)

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(None, 2)

Mergesort
Visualize the mergesort
algorithm like this:
def mergesort_wrapper(nums):

def merge(lo, mid, hi):
"helper function for mergesort"
L, R = nums[lo:mid+1] + [float('inf')], nums[mid+1:hi+1] + [float('inf')]
i, j = 0, 0
for k in range(lo, hi+1):
if L[i] <= R[j]:
nums[k] = L[i]
i += 1
else:
nums[k] = R[j]
j += 1

@RecursionVisualizer()
def mergesort(lo, hi, edge_label=''):

if lo < hi:
mid = lo + (hi-lo) // 2
mergesort(lo, mid, edge_label='nums={}'.format(nums[lo:mid+1]))
mergesort(mid+1, hi, edge_label='nums={}'.format(nums[mid+1:hi+1]))
merge(lo, mid, hi)
return nums[lo:hi+1]

mergesort(0, len(nums)-1)
return nums

nums = [3, 1, 9, 4]
mergesort_wrapper(nums)

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[1, 3, 4, 9]

Features
For all animations:

Each node represents a single recursive function call
The animation illustrates the order in which the computer evaluates
each of these function calls
Toggle the DP button to see how using dynamic programming (DP)
changes which function calls are evaluated

Extra features:

Hovering the cursor over a node displays additional information
The nodes have different colors:

A node is unvisited if it is white


3

We are visiting a node if it is medium blue


3

A node is visited if it is dark blue


3



At any given time, the path of medium blue nodes illustrates the
current functions in the call stack, ie the functions that are
currently being executed
The leaf nodes represent the base case

Limitations
RecursionVisualizer
is intended for educational purposes only. It is not intended for real
world applications or commerical use.
To create an animation of a recursive function,
RecursionVisualizer
must run the brute force version of the recursive function with no
dynamic programming. This means that
RecursionVisualizer
will often have an exponential runtime. For this reason, we recommend
using
RecursionVisualizer
on inputs no larger than n=10. (n may be the length of a string/list
or the number of vertices/edges in a graph.)
Contributions
All contributions are welcome. Simply create a pull request to begin
contributing.
Note:
RecursionVisualizer
is made with nbdev, a tool to create software with notebooks. For more
information on nbdev go to their homepage.
License
MIT

License

For personal and professional use. You cannot resell or redistribute these repositories in their original state.

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