# Computing the hypotenuse of a right-angle triangle given the two sides using PySpark. (hypot)

This article provides an in-depth look into the hypot function, accompanied by practical examples. The hypot function in PySpark computes the hypotenuse of a right-angle triangle given the two sides. Specifically, for inputs a and b, it returns the square root of (a^2 + b^2).

Calculate the hypotenuse for given sides:

from pyspark.sql import SparkSession
from pyspark.sql.functions import hypot
spark = SparkSession.builder \
.appName("PySpark hypot Function") \
.getOrCreate()
data = [(3, 4), (5, 12), (8, 15)]
df = spark.createDataFrame(data, ["a", "b"])
df.withColumn("hypotenuse", hypot(df["a"], df["b"])).show()


Output:

+---+---+----------+
|  a|  b|hypotenuse|
+---+---+----------+
|  3|  4|       5.0|
|  5| 12|      13.0|
|  8| 15|      17.0|
+---+---+----------+


#### Use case: Distance calculation

Imagine a scenario where you have a grid, and you need to compute the distance from the origin (0,0) to various points on this grid. The hypot function can easily compute these distances:

grid_data = [(2, 7), (10, 5), (6, 8)]
df_grid = spark.createDataFrame(grid_data, ["x", "y"])
# Calculating distance from origin
df_grid.withColumn("distance_from_origin", hypot(df_grid["x"], df_grid["y"])).show()

Output
+---+---+--------------------+
|  x|  y|distance_from_origin|
+---+---+--------------------+
|  2|  7|   7.280109889280518|
| 10|  5|  11.180339887498949|
|  6|  8|                10.0|
+---+---+--------------------+


#### When to use hypot?

Geometry and trigonometry: Any application that deals with right-angle triangles or needs distance calculations can benefit from hypot.

Physics simulations: For scenarios involving vectors, force calculations, or other physics simulations, the hypot function can be useful.

Data visualizations: When plotting data or visualizing clusters, hypot can assist in distance calculations, which might be crucial for certain algorithms or representations.

Spark important urls to refer

Author: user