Dot Product

题面

Implement a GPU program that computes the dot product of two vectors containing 32-bit floating point numbers. The dot product is the sum of the products of the corresponding elements of two vectors.

Mathematically, the dot product of two vectors $A$ and $B$ of length $n$ is defined as:

$$A \cdot B = \sum_{i=0}^{n-1} A_i \cdot B_i = A_0 \cdot B_0 + A_1 \cdot B_1 + \dots + A_{n-1} \cdot B_{n-1}$$

Implementation Requirements

• Use only GPU native features (external libraries are not permitted)
• The solve function signature must remain unchanged
• The final result must be stored in the output variable

Examples

Example 1:

Input:  A = [1.0, 2.0, 3.0, 4.0]
        B = [5.0, 6.0, 7.0, 8.0]
Output: result = 70.0  (1.0*5.0 + 2.0*6.0 + 3.0*7.0 + 4.0*8.0)

Example 2:

Input:  A = [0.5, 1.5, 2.5]
        B = [2.0, 3.0, 4.0]
Output: result = 15.5  (0.5*2.0 + 1.5*3.0 + 2.5*4.0)

Constraints

• A and B have identical lengths
• 1 ≤ N ≤ 100,000,000
• Performance is measured with N = 5