Apply different mathematical function in table in Python - python

I have two columns - Column A and Column B and it has some values like below:-
Now, I want to apply normal arithmetic function for each row and add result in next column. But Different arithmetic operator should be apply on each row. Like
A+B for first row
A-B for second row
A*B for third row
A/B for fourth row
and so on till nth record of the row with same repetitive mathematical function.
Can someone please help me with this code in Python.
python-3.x
pandas

We can use:
row.name to access the index when using apply on a row
can use a dictionary to map indexes to a operations
Code
import operator as _operator
# Data
d = {"A":[5, 6, 7, 8, 9, 10, 11],
"B": [1, 2, 3, 4, 5, 6, 7]}
df = pd.DataFrame(d)
print(df)
# Mapping from index to mathematical operation
operator_map = {
0: _operator.add,
1: _operator.sub,
2: _operator.mul,
3: _operator.truediv,
}
# use row.name % 4 to have operators have a cycle of 4
df['new'] = df.apply(lambda row: operator_map[row.name % 4](*row), axis = 1)
Output
Initial df
A B
0 5 1
1 6 2
2 7 3
3 8 4
4 9 5
5 10 6
6 11 7
New df
A B new
0 5 1 6.0
1 6 2 4.0
2 7 3 21.0
3 8 4 2.0
4 9 5 14.0
5 10 6 4.0
6 11 7 77.0

IIUC, you can try DataFrame.apply on rows with operator
import operator
operators = [operator.add, operator.sub, operator.mul, operator.truediv]
df['C'] = df.apply(lambda row: operators[row.name](*row), axis=1)
print(df)
A B C
0 5 1 6.0
1 6 2 4.0
2 7 3 21.0
3 8 4 2.0

Related

Replace specific values in a data frame with column mean

I have a dataframe and I want to replace the value 7 with the round number of mean of its columns with out other 7 in that columns. Here is a simple example:
import pandas as pd
df = pd.DataFrame()
df['a'] = [1, 2, 3]
df['b'] =[3, 0, -1]
df['c'] = [4, 7, 6]
df['d'] = [7, 7, 6]
a b c d
0 1 3 4 7
1 2 0 7 7
2 3 -1 6 6
And here is the output I want:
a b c d
0 1 3 4 2
1 2 0 3 2
2 3 -1 6 6
For example, in row 1, the mean of column c is equal to 3.33 and then its round is 3, and in column column d is equal to 2 (since we do not consider the other 7 in that column).
Can you please help me with that?
here is one way to do it
# replace 7 with np.nan
df.replace(7,np.nan, inplace=True)
# fill NaN values with the mean of the column
(df.fillna(df.apply(lambda x: x.replace(np.nan, 0)
.mean(skipna=False) ))
.round(0)
.astype(int))
a b c d
0 1 3 4 2
1 2 0 3 2
2 3 -1 6 6
temp = df.replace(to_replace=7, value=0, inplace=False).copy()
df.replace(to_replace=7, value=temp.mean().astype(int), inplace=True)

Pad selection range in Pandas Dataframe?

If I slice a dataframe with something like
>>> df = pd.DataFrame(data=[[x] for x in [1,2,3,5,1,3,2,1,1,4,5,6]], columns=['A'])
>>> df.loc[df['A'] == 1]
# or
>>> df[df['A'] == 1]
A
0 1
4 1
7 1
8 1
how could I pad my selections by a buffer of 1 and get the each of the indices 0, 1, 3, 4, 5, 6, 7, 8, 9? I want to select all rows for which the value in column 'A' is 1, but also a row before or after any such row.
edit I'm hoping to figure out a solution that works for arbitrary pad sizes, rather than just for a pad size of 1.
edit 2 here's another example illustrating what I'm going for
df = pd.DataFrame(data=[[x] for x in [1,2,3,5,3,2,1,1,4,5,6,0,0,3,1,2,4,5]], columns=['A'])
and we're looking for pad == 2. In this case I'd be trying to fetch rows 0, 1, 2, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16.
you can use shift with bitwise or |
c = df['A'] == 1
df[c|c.shift()|c.shift(-1)]
A
0 1
1 2
3 5
4 1
5 3
6 2
7 1
8 1
9 4
For arbitrary pad sizes, you may try where, interpolate, and notna to create the mask
n = 2
c = df.where(df['A'] == 1)
m = c.interpolate(limit=n, limit_direction='both').notna()
df[m]
Out[61]:
A
0 1
1 2
2 3
4 3
5 2
6 1
7 1
8 4
9 5
12 0
13 3
14 1
15 2
16 4
Here is an approach that allows for multiple pad levels. Use ffill and bfill on the boolean mask (df['A'] == 1), after converting the False values to np.nan:
import numpy as np
pad = 2
df[(df['A'] == 1).replace(False, np.nan).ffill(limit=pad).bfill(limit=pad).replace(np.nan,False).astype(bool)]
Here it is in action:
def padsearch(df, column, value, pad):
return df[(df[column] == value).replace(False, np.nan).ffill(limit=pad).bfill(limit=pad).replace(np.nan,False).astype(bool)]
# your first example
df = pd.DataFrame(data=[[x] for x in [1,2,3,5,1,3,2,1,1,4,5,6]], columns=['A'])
print(padsearch(df=df, column='A', value=1, pad=1))
# your other example
df = pd.DataFrame(data=[[x] for x in [1,2,3,5,3,2,1,1,4,5,6,0,0,3,1,2,4,5]], columns=['A'])
print(padsearch(df=df, column='A', value=1, pad=2))
Result:
A
0 1
1 2
3 5
4 1
5 3
6 2
7 1
8 1
9 4
A
0 1
1 2
2 3
4 3
5 2
6 1
7 1
8 4
9 5
12 0
13 3
14 1
15 2
16 4
Granted the command is far less nice, and its a little clunky to be converting the False to and from null. But it's still using all Pandas builtins, so it is fairly quick still.
I found another solution but not nearly as slick as some of the ones already posted.
# setup
df = ...
pad = 2
# determine set of indicies
indices = set(
[
x for x in filter(
lambda x: x>=0,
[
x+y
for x in df[df['A'] == 1].index
for y in range(-pad, pad+1)
]
)
]
)
# fetch rows
df.iloc[[*indices]]

Filling Pandas columns with lists of unequal lengths

I am having trouble filling Pandas dataframes with values from lists of unequal lengths.
nx_lists_into_df is a list of numpy arrays.
I get the following error:
ValueError: Length of values does not match length of index
The code is below:
# Column headers
df_cols = ["f1","f2"]
# Create one dataframe fror each sheet
df1 = pd.DataFrame(columns=df_cols)
df2 = pd.DataFrame(columns=df_cols)
# Create list of dataframes to iterate through
df_list = [df1, df2]
# Lists to be put into the dataframes
nx_lists_into_df = [[array([0, 1, 3, 4, 7]),
array([2, 5, 6, 8])],
[array([0, 1, 2, 6, 7]),
array([3, 4, 5, 8])]]
# Loop through each sheet (i.e. each round of k folds)
for df, test_index_list in zip_longest(df_list, nx_lists_into_df):
counter = -1
# Loop through each column in that sheet (i.e. each fold)
for col in df_cols:
print(col)
counter += 1
# Add 1 to each index value to start indexing at 1
df[col] = test_index_list[counter] + 1
Thank you for your help.
Edit: This is how the result should hopefully look:-
print(df1)
f1 f2
0 0 2
1 1 5
2 3 6
3 4 8
4 7 NaN
print(df2)
f1 f2
0 0 3
1 1 4
2 2 5
3 6 8
4 7 NaN
We'll leverage pd.Series to attach an appropriate index and will allow us to use the pd.DataFrame constructor without complaining of unequal lengths.
df1, df2 = (
pd.DataFrame(dict(zip(df_cols, map(pd.Series, d))))
for d in nx_lists_into_df
)
print(df1)
f1 f2
0 0 2.0
1 1 5.0
2 3 6.0
3 4 8.0
4 7 NaN
print(df2)
f1 f2
0 0 3.0
1 1 4.0
2 2 5.0
3 6 8.0
4 7 NaN
Setup
from numpy import array
nx_lists_into_df = [[array([0, 1, 3, 4, 7]),
array([2, 5, 6, 8])],
[array([0, 1, 2, 6, 7]),
array([3, 4, 5, 8])]]
# Column headers
df_cols = ["f1","f2"]
You could predefine the size of your DataFrames (by setting the index range to the length of the longest column you want to add [or any size bigger than the longest column]) like so:
df1 = pd.DataFrame(columns=df_cols, index=range(5))
df2 = pd.DataFrame(columns=df_cols, index=range(5))
print(df1)
f1 f2
0 NaN NaN
1 NaN NaN
2 NaN NaN
3 NaN NaN
4 NaN NaN
(df2 is the same)
The DataFrame will be filled with NaNs automatically.
Then you use .loc to access each entry separately like so:
for x in range(len(nx_lists_into_df)):
for col_idx, y in enumerate(nx_lists_into_df[x]):
df_list[x].loc[range(len(y)), df_cols[col_idx]] = y
print(df1)
f1 f2
0 0 2
1 1 5
2 3 6
3 4 8
4 7 NaN
print(df2)
f1 f2
0 0 3
1 1 4
2 2 5
3 6 8
4 7 NaN
The first loop iterates over the first dimension of your array (or the number of DataFrames you want to create).
The second loop iterates over the column values for the DataFrame, where y are the values for the current column and df_cols[col_idx] is the respective column (f1 or f2).
Since the row & col indices are the same size as y, you don't get the length mismatch.
Also check out the enumerate(iterable, start=0) function to get around those "counter" variables.
Hope this helps.
If I understand correctly, this is possible via pd.concat.
But see #pir's solution for an extendable version.
# Lists to be put into the dataframes
nx_lists_into_df = [[array([0, 1, 3, 4, 7]),
array([2, 5, 6, 8])],
[array([0, 1, 2, 6, 7]),
array([3, 4, 5, 8])]]
df1 = pd.concat([pd.DataFrame({'A': nx_lists_into_df[0][0]}),
pd.DataFrame({'B': nx_lists_into_df[0][1]})],
axis=1)
# A B
# 0 0 2.0
# 1 1 5.0
# 2 3 6.0
# 3 4 8.0
# 4 7 NaN
df2 = pd.concat([pd.DataFrame({'C': nx_lists_into_df[1][0]}),
pd.DataFrame({'D': nx_lists_into_df[1][1]})],
axis=1)
# C D
# 0 0 3.0
# 1 1 4.0
# 2 2 5.0
# 3 6 8.0
# 4 7 NaN

Vectorized calculation of a column's value based on a previous value of the same column?

I have a pandas dataframe with two columns A,B as below.
I want a vectorized solution for creating a new column C where C[i] = C[i-1] - A[i] + B[i].
df = pd.DataFrame(data={'A': [10, 2, 3, 4, 5, 6], 'B': [0, 1, 2, 3, 4, 5]})
>>> df
A B
0 10 0
1 2 1
2 3 2
3 4 3
4 5 4
5 6 5
Here is the solution using for-loops:
df['C'] = df['A']
for i in range(1, len(df)):
df['C'][i] = df['C'][i-1] - df['A'][i] + df['B'][i]
>>> df
A B C
0 10 0 10
1 2 1 9
2 3 2 8
3 4 3 7
4 5 4 6
5 6 5 5
... which does the job.
But since loops are slow in comparison to vectorized calculations, I want a vectorized solution for this in pandas:
I tried to use the shift() method like this:
df['C'] = df['C'].shift(1).fillna(df['A']) - df['A'] + df['B']
but it didn't help since the shifted C column isn't updated with the calculation. It keeps its original values:
>>> df['C'].shift(1).fillna(df['A'])
0 10
1 10
2 2
3 3
4 4
5 5
and that produces a wrong result.
This can be vectorized since:
delta[i] = C[i] - C[i-1] = -A[i] +B[i]. You can get delta from A and B first, then...
calculate cumulative sum of delta (plus C[0]) to get full C
Code as follows:
delta = df['B'] - df['A']
delta[0] = 0
df['C'] = df.loc[0, 'A'] + delta.cumsum()
​
print df
A B C
0 10 0 10
1 2 1 9
2 3 2 8
3 4 3 7
4 5 4 6
5 6 5 5

Python Pandas add column with relative order numbers

How do I add a order number column to an existing DataFrame?
This is my DataFrame:
import pandas as pd
import math
frame = pd.DataFrame([[1, 4, 2], [8, 9, 2], [10, 2, 1]], columns=['a', 'b', 'c'])
def add_stats(row):
row['sum'] = sum([row['a'], row['b'], row['c']])
row['sum_sq'] = sum(math.pow(v, 2) for v in [row['a'], row['b'], row['c']])
row['max'] = max(row['a'], row['b'], row['c'])
return row
frame = frame.apply(add_stats, axis=1)
print(frame.head())
The resulting data is:
a b c sum sum_sq max
0 1 4 2 7 21 4
1 8 9 2 19 149 9
2 10 2 1 13 105 10
First, I would like to add 3 extra columns with order numbers, sorting on sum, sum_sq and max, respectively. Next, these 3 columns should be combined into one column - the mean of the order numbers - but I do know how to do that part (with apply and axis=1).
I think you're looking for rank where you mention sorting. Given your example, add:
frame['sum_order'] = frame['sum'].rank()
frame['sum_sq_order'] = frame['sum_sq'].rank()
frame['max_order'] = frame['max'].rank()
frame['mean_order'] = frame[['sum_order', 'sum_sq_order', 'max_order']].mean(axis=1)
To get:
a b c sum sum_sq max sum_order sum_sq_order max_order mean_order
0 1 4 2 7 21 4 1 1 1 1.000000
1 8 9 2 19 149 9 3 3 2 2.666667
2 10 2 1 13 105 10 2 2 3 2.333333
The rank method has some options as well, to specify the behavior in case of identical or NA-values for example.

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