GitHub - VictorTaelin/parallel_lambda_computer_tests: learning cuda

Parallel lambda computer tests

A "Node" is 4 ints (128 bits).

"Memory" is an array of nodes. Example:

  | NODE 0                | NODE 1                | NODE 2                | ...
  | Int | Int | Int | Int | Int | Int | Int | Int | Int | Int | Int | Int | ...

The input is an initial Memory encoding a λ-term.
You call a rewrite function on arbitrary positions of Memory until it doesn't change anymore.
The output, i.e., the final Memory state, encodes the normal form of the λ-term.
The function void rewrite(int *a, int *b, int *c) takes 3 sequential nodes and rewrites them locally.

Rewrites can be done in parallel. For example:

  // The 4 calls below could be made in parallel.
  // (pointers omitted, should be `Memory + 0 * node_size`, etc)
  rewrite(0, 1, 2), rewrite(3, 4, 5), rewrite(6, 7, 8), rewrite(9, 10,11);

You can call rewrite in whatever order you want.

Don't isolate communication: you need to alternate the alignments of the rewrites!

  CORRECT (parallel, alternating alignments):

  rewrite(0, 1, 2), rewrite(3, 4, 5), rewrite(6, 7,  8), rewrite( 9, 10, 11), ...
  rewrite(1, 2, 3), rewrite(4, 5, 6), rewrite(7, 8,  9), rewrite(10, 11, 10), ...
  rewrite(2, 3, 4), rewrite(5, 6, 7), rewrite(8, 9, 10), rewrite(11, 10, 12), ...
  rewrite(0, 1, 2), rewrite(3, 4, 5), rewrite(6, 7,  8), rewrite( 9, 10, 11), ...
  rewrite(1, 2, 3), rewrite(4, 5, 6), rewrite(7, 8,  9), rewrite(10, 11, 10), ...
  rewrite(2, 3, 4), rewrite(5, 6, 7), rewrite(8, 9, 10), rewrite(11, 10, 12), ...
  rewrite(0, 1, 2), rewrite(3, 4, 5), rewrite(6, 7,  8), rewrite( 9, 10, 11), ...
  rewrite(1, 2, 3), rewrite(4, 5, 6), rewrite(7, 8,  9), rewrite(10, 11, 10), ...
  rewrite(2, 3, 4), rewrite(5, 6, 7), rewrite(8, 9, 10), rewrite(11, 10, 12), ...
  ...

  CORRECT (sequential, random positions):
  rewrite(0, 1, 2);
  rewrite(3, 4, 5);
  rewrite(0, 1, 2);
  rewrite(7, 8, 9);
  rewrite(4, 5, 6);
  ...

  WRONG (parallel, non-alternating alignments, communication inhibited!):
  rewrite(0, 1, 2), rewrite(3, 4, 5), rewrite(6, 7,  8), rewrite( 9, 10, 11), ...
  rewrite(0, 1, 2), rewrite(3, 4, 5), rewrite(6, 7,  8), rewrite( 9, 10, 11), ...
  rewrite(0, 1, 2), rewrite(3, 4, 5), rewrite(6, 7,  8), rewrite( 9, 10, 11), ...
  rewrite(0, 1, 2), rewrite(3, 4, 5), rewrite(6, 7,  8), rewrite( 9, 10, 11), ...
  rewrite(0, 1, 2), rewrite(3, 4, 5), rewrite(6, 7,  8), rewrite( 9, 10, 11), ...
  ...

Example computation:

  INPUT: ((λ f x . f (f x)) (λ f x . f (f x)) (λ x . x))
      (Memory ordered top-bottom, then left-right, 
      i.e, (0,0) (0,1) (0,2) (0,3) (1,0) (1,1) (1,2)..)

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    |  |9d>  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
  __|__|9d<__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|
    |  |03>  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
    |  |01<  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
    |  |9d>  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
  __|__|9d<__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|
    |03>  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
    |01<  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
    |9d>  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
  __|9d<__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|

  OUTPUT: (λ x . x)

    |03>  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
    |01<  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
    |9d>  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
  __|9d<__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|__|

Questions

Is this efficient?
If not, can this become something efficient?
Perhaps improving movement rules?
I'm a CUDA noob. How can I make the best use of the GPU?

Name		Name	Last commit message	Last commit date
Latest commit History 10 Commits
README.md		README.md
cpu.cu		cpu.cu
gpu.cu		gpu.cu
rewriter.cu		rewriter.cu
test_inputs.cu		test_inputs.cu

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