Damn Fast Priority Queue

A heap-based priority queue whose first and foremost priority is speed. Optionally comes in a stable flavor.

Blame @mfiano for the existence of this library. He's the one who wanted a priority queue that's going to run as fast as possible in one of the hottest loops of his game engine ~~and then figured out that hey, he actually doesn't need a prio queue there~~.

License

MIT.

Systems

• This repository contains two systems:
  • damn-fast-priority-queue, a faster but unstable priority queue (elements with the same priority are dequeued in unspecified order),
  • damn-fast-stable-priority-queue, a fast and stable priority queue (elements with the same priority are dequeued in FIFO order).
• The queues have identical APIs.
  • These APIs are not generic, i.e. operators for one queue type must not be used on a queue instance of the other type.

Description

• The queue enqueues objects along with their priorities.
  • The stored objects may be of arbitrary type.
  • The objects' priorities must be of type (unsigned-byte 32).
• The queue is a minimum queue (i.e. smallest priorities are dequeued first).
• The queue is unbounded by default.
  • The queue's storage automatically expands (which reallocates the queue storage).
  • The queue's storage can be manually trimmed (which reallocates the queue storage).
  • The queue can instead be configured to signal an error upon reaching its size limit.
• The queue is not thread-safe.
• The queue is not reentrant.

Implementation details

• The queue internally uses two simple vectors: one for data, specialized on t, and another for priorities, specialized on (unsigned-byte 32).
  • The stable queue also uses a third simple vector for storing element insertion order, specialized on (unsigned-byte 32).
• The queue's storage has its initial storage size set to 256. This value is customizable in the constructor.
• Each time the queue runs out of storage, the storage is reallocated via adjust-array and its size is expanded by the extension-factor value provided at queue instantiation.
• We assume that using simple vectors, calling adjust-array on them, and manually setting queue slots to the new vectors is faster than using adjustable vectors.

Optimization settings

• The code uses structure classes in favor of standard classes.
• The code uses standard, inline-proclaimed functions in favor of generic functions.
• All functions are optimized for maximum speed.
• By default, the code retains the default values of debug, safety, space, and compilation-speed optimize qualities. To set them all to 0, pray to your favorite deity and push a feature into *features* before compiling the respective system.
  • for damn-fast-priority-queue, push :real-damn-fast-priority-queue,
  • for damn-fast-stable-priority-queue, push :real-damn-fast-stable-priority-queue.

Exports

All exported functions are proclaimed inline by default.

• Classes
  • queue - names the priority queue structure class.
• Functions
  • (make-queue &optional initial-storage-size extension-factor extend-queue-p) - make a priority queue.
    • The initial storage size must be a non-negative integer. Its default value is 256.
    • The extension factor value must be a positive integer between 2 and 256. Its default value is 2.
    • The queue can be configured to signal an error of type queue-size-limit-reached when its size is reached, instead of extending its storage. It is possible to retrieve the queue via the queue-size-limit-reached-queue reader and the object that was attempted to be stored via queue-size-limit-reached-object.
  • (copy-queue queue) - makes a deep copy of the provided queue (including its storage vectors).
  • (enqueue queue object priority) - enqueue an object.
  • (dequeue queue) - dequeue an object.
    • Secondary return value is true if the object was found and false if the queue was empty.
  • (peek queue) - peek at an object that is first to be dequeued.
    • Secondary return value is true if the object was found and false if the queue was empty.
  • (size queue) - get the current element count of the queue.
  • (trim queue) - trim the queue's storage by calling adjust-array on it with the current queue size.
  • (map queue function) - calls the function on each element of queue in unspecified order and returns nil.
• Macros
  • (do-queue (object queue &optional result) &body body) - evaluates body with object bound to each element of queue in unspecified order and returns result.

Tests

• For damn-fast-priority-queue:
  • Non-verbose test: (asdf:test-system :damn-fast-priority-queue)
  • Verbose test: (damn-fast-priority-queue/test:run t)
• For damn-fast-stable-priority-queue:
  • Non-verbose test: (asdf:test-system :damn-fast-stable-priority-queue)
  • Verbose test: (damn-fast-stable-priority-queue/test:run t)

Performance tests

See the Priority Queue Benchmark README.