Overview

Implement a kernel that adds 10 to each position of 2D square matrix a and stores it in 2D square matrix output.

Note: You have more threads than positions.

Key concepts

In this puzzle, you’ll learn about:

• Working with 2D thread indices (thread_idx.x, thread_idx.y)
• Converting 2D coordinates to 1D memory indices
• Handling boundary checks in two dimensions

The key insight is understanding how to map from 2D thread coordinates \((i,j)\) to elements in a row-major matrix of size \(n \times n\), while ensuring thread indices are within bounds.

• 2D indexing: Each thread has a unique \((i,j)\) position
• Memory layout: Row-major ordering maps 2D to 1D memory
• Guard condition: Need bounds checking in both dimensions
• Thread bounds: More threads \((3 \times 3)\) than matrix elements \((2 \times 2)\)

Code to complete

alias SIZE = 2
alias BLOCKS_PER_GRID = 1
alias THREADS_PER_BLOCK = (3, 3)
alias dtype = DType.float32


fn add_10_2d(
    output: UnsafePointer[Scalar[dtype], MutAnyOrigin],
    a: UnsafePointer[Scalar[dtype], MutAnyOrigin],
    size: Int,
):
    row = thread_idx.y
    col = thread_idx.x
    # FILL ME IN (roughly 2 lines)

View full file: problems/p04/p04.mojo

Running the code

To test your solution, run the following command in your terminal:

pixi run p04

pixi run -e amd p04

pixi run -e apple p04

uv run poe p04

Your output will look like this if the puzzle isn’t solved yet:

out: HostBuffer([0.0, 0.0, 0.0, 0.0])
expected: HostBuffer([10.0, 11.0, 12.0, 13.0])

Solution

fn add_10_2d(
    output: UnsafePointer[Scalar[dtype], MutAnyOrigin],
    a: UnsafePointer[Scalar[dtype], MutAnyOrigin],
    size: Int,
):
    row = thread_idx.y
    col = thread_idx.x
    if row < size and col < size:
        output[row * size + col] = a[row * size + col] + 10.0