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Cosine Similarity Calculator

Given two vectors (as comma-separated floats), compute the cosine similarity between them.

Cosine similarity measures the cosine of the angle between two vectors: $\text{cosine\_similarity} = \frac{A \cdot B}{\|A\| \times \|B\|}$

Round the result to 4 decimal places.

Input format:

Input:

1.0,0.0,1.0
0.0,1.0,1.0

Output:

0.5

Reasoning:

Step 1: Compute dot product A·B = 1.00.0 + 0.01.0 + 1.0*1.0 = 1.0

Step 2: Compute magnitudes ||A|| = sqrt(1+0+1) = sqrt(2) ≈ 1.4142 ||B|| = sqrt(0+1+1) = sqrt(2) ≈ 1.4142

Step 3: Divide 1.0 / (1.4142 * 1.4142) = 1.0 / 2.0 = 0.5

Editor

Python 3.13.1

0/0

Run code to see test results.

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