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TST: Calculate RMS and diff image in C++ #29102

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@QuLogic QuLogic commented Nov 8, 2024

PR summary

The current implementation is not slow, but uses a lot of memory per image.

In compare_images, we have:

  • one actual and one expected image as uint8 (2×image)
  • both converted to int16 (though original is thrown away) (4×)

which adds up to 4× the image allocated in this function.

Then it calls calculate_rms, which has:

  • a difference between them as int16 (2×)
  • the difference cast to 64-bit float (8×)
  • the square of the difference as 64-bit float (though possibly the original difference was thrown away) (8×)

which at its peak has 16× the image allocated in parallel.

If the RMS is over the desired tolerance, then save_diff_image is called, which:

  • loads the actual and expected images again as uint8 (2× image)
  • converts both to 64-bit float (throwing away the original) (16×)
  • calculates the difference (8×)
  • calculates the absolute value (8×)
  • multiples that by 10 (in-place, so no allocation)
  • clips to 0-255 (8×)
  • casts to uint8 (1×)

which at peak uses 32× the image.

So at their peak, compare_imagescalculate_rms will have 20× the image allocated, and then compare_imagessave_diff_image will have 36× the image allocated. This is generally not a problem, but on resource-constrained places like WASM, it can sometimes run out of memory just in calculate_rms.

This implementation in C++ always allocates the diff image, even when not needed, but doesn't have all the temporaries, so it's a maximum of 3× the image size (plus a few scalar temporaries).

PR checklist

The current implementation is not slow, but uses a lot of memory per
image.

In `compare_images`, we have:

- one actual and one expected image as uint8 (2×image)
- both converted to int16 (though original is thrown away) (4×)

which adds up to 4× the image allocated in this function.

Then it calls `calculate_rms`, which has:

- a difference between them as int16 (2×)
- the difference cast to 64-bit float (8×)
- the square of the difference as 64-bit float (though possibly the
  original difference was thrown away) (8×)

which at its peak has 16× the image allocated in parallel.

If the RMS is over the desired tolerance, then `save_diff_image` is
called, which:

- loads the actual and expected images _again_ as uint8 (2× image)
- converts both to 64-bit float (throwing away the original) (16×)
- calculates the difference (8×)
- calculates the absolute value (8×)
- multiples that by 10 (in-place, so no allocation)
- clips to 0-255 (8×)
- casts to uint8 (1×)

which at peak uses 32× the image.

So at their peak, `compare_images`→`calculate_rms` will have 20× the
image allocated, and then `compare_images`→`save_diff_image` will have
36× the image allocated. This is generally not a problem, but on
resource-constrained places like WASM, it can sometimes run out of
memory just in `calculate_rms`.

This implementation in C++ always allocates the diff image, even when
not needed, but doesn't have all the temporaries, so it's a maximum of
3× the image size (plus a few scalar temporaries).
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