Pandas - Iterate Over Rows And Calculate - Faster
I already have a solution -but it is very slow (13 minutes for 800 rows). here is an example of the dataframe: import pandas as pd d = {'col1': [20,23,40,41,48,49,50,50], 'col2': [
Solution 1:
IIUC, you can do:
df['overlap_count'] = 0
for i in range(1,start_at_nr+1):
    df['overlap_count'] += df['col1'].le(df['col2'].shift(i))
# mask the first few rows
df.iloc[:start_at_nr, -1] = np.nan
Output:
   col1  col2  overlap_count
02039NaN12332NaN24042NaN341501.0448631.0549682.0650683.0750693.0Takes about 11ms on for 800 rows and start_at_nr=3.
Solution 2:
You basically compare the current value of col1 to previous 3 rows of col2 and starting the compare from row 3. You may use shift as follow
n = 3
s = ((pd.concat([df.col2.shift(x) for x inrange(1,n+1)], axis=1) >= df.col1.values[:,None])
        .sum(1)[3:])
or
s = (pd.concat([df.col2.shift(x) for x in range(1,n+1)], axis=1).ge(df.col1,axis=0)
                                                                .sum(1)[3:])
Out[65]:
3    1
4    1
5    2
6    3
7    3
dtype: int64To get your desired output, assign it back to df and fillna
n = 3
s = (pd.concat([df.col2.shift(x) for x in range(1,n+1)], axis=1).ge(df.col1,axis=0)
                                                                .sum(1)[3:])
df_final = df.assign(overlap_count=s).fillna('x')
Out[68]:
   col1  col2 overlap_count
0    20    39             x
1    23    32             x
2    40    42             x
3    41    50             1
4    48    63             1
5    49    68             2
6    50    68             3
7    50    69             3
Solution 3:
You could do it with .apply() in a single statement as follows. I have used a convenience function process_row(), which is also included below. 
df.assign(OVERLAP_COUNT = (df.reset_index(drop=False).rename(
                                columns={'index': 'ID'})).apply(
                                    lambda x: process_row(x, df, offset=3), axis=1))
For More Speed: In case you need more speed and are processing a lot of rows, you may consider using
swifterlibrary. All you have to do is:
- install swifter:
pip install swifter.- import the library as
import swifter.- replace any
.apply()with.swifter.apply()in the code-block above.
Solution in Detail
#!pip install -U swifter#import swifter import numpy as np
import pandas as pd
d = {'col1': [20,23,40,41,48,49,50,50], 'col2': [39,32,42,50,63,68,68,69]}
df = pd.DataFrame(data=d)
defprocess_row(x, df, offset=3):
    value = (df.loc[x.ID - offset:x.ID - 1, 'col2'] >= df.loc[x.ID, 'col1']).sum() if (x.ID >= offset) else'x'return value
# Use df.swifter.apply() for faster processing, instead of df.apply()
df.assign(OVERLAP_COUNT = (df.reset_index(drop=False, inplace=False).rename(
                                columns={'index': 'ID'}, inplace=False)).apply(
                                    lambda x: process_row(x, df, offset=3), axis=1))
Output:
   col1  col2 OVERLAP_COUNT
0    20    39             x
1    23    32             x
2    40    42             x
3    41    50             1
4    48    63             1
5    49    68             2
6    50    68             3
7    50    69             3
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