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diff --git a/README.md b/README.md new file mode 100644 index 0000000..1afa62f --- /dev/null +++ b/README.md @@ -0,0 +1,152 @@ +# Mulklib: purely functional integer maps for C + +## Summary + +This library implements [Patricia Trees][] in C, providing fast, +purely functional maps keyed by integers. + +## Motivation + + 1. Patricia trees are very amenable to structure sharing. + + 2. Furthermore, big-endian Patricia trees are especially efficient + when indices are allocated sequentially. + + 3. Finally, bitmapping improves the performance of copying because + copying an array is much cheaper than copying an equivalent branch + in a tree. + +## Preparation + +Build with something like the following: + +```sh +make CC=gcc LIB_PREFIX=lib LIB_SUFFIX=.so +``` + +The defaults are `CC=clang LIB_PREFIX=lib LIB_SUFFIX=.dylib`, which is +all right for Mac OS X but not so great on other systems. They are +also subject to change, since they depend on my development +environment. (Of course, if you feel the urge to make the build system +a little smarter, patches are always welcome.) + +If building and installing a library consisting of a single object +file seems like overkill to you (it sure does to me), you may prefer +simply integrating the source files (`bitmapped_patricia_tree.c`, +`bitmapped_patricia_tree.h`) into your own project directly. + +## Usage +### Main Concepts + +A Bitmapped Patricia Tree (**BPT**) maps integer keys to `void*` values. + +BPTs provide a functional, Lisp-like interface. All modifying +operations (`bpt_assoc` and `bpt_dissoc`, which add and remove +entries, respectively) return a new BPT with the requested changes +applied, although by default, they **may destructively modify** the +original BPT for improved performance. + +Destructive modification can be prohibited by **sealing** the original +BPT using the `bpt_seal` procedure. Note that there is practically no +performance overhead in sealing (the seal being just a boolean flag), +so there is nothing wrong with using bitmapped Patricia Trees in a +purely functional manner by calling `bpt_seal` after every operation. + +An **empty BPT** is represented as `NULL`. + +### Example + +```c +// +// This is a very basic example of using BPTs that blissfully neglects memory +// management in favor of didactic simplicity. +// +// For a more complete example, see bpt_test.c in the source distribution. +// + +#include "stdio.h" +#include "stdlib.h" +#include "bitmapped_patricia_tree.h" + +void print_tree(bpt_t b) { + int i; + for (i = 0; i < 10; i++) { + if (bpt_has_key(b, i)) { + printf(" %d -> %s\n", i, bpt_get(b, i)); + } + } +} + +int main() { + bpt_t b1, b2; + + // Create b1. + b1 = bpt_assoc(NULL, 0, "zero"); //functional (obviously) + b1 = bpt_assoc(b1, 1, "one"); //| + b1 = bpt_assoc(b1, 2, "two"); //|destructive! + b1 = bpt_assoc(b1, 3, "three"); //| + b1 = bpt_assoc(b1, 4, "four"); //| + + // Make b1 functional. + bpt_seal(b1); + + // Make b2 a structure-sharing copy of b1. + b2 = bpt_assoc(b1, 0, "null"); //functional, as b1 is sealed + b2 = bpt_assoc(b2, 3, "a triple"); //destructive + + // Modifying b1 does not affect b2. + b1 = bpt_assoc(b1, 5, "five"); //destructive + + printf("Map 1:\n"); + print_tree(b1); + printf("\nMap 2:\n"); + print_tree(b2); + + return EXIT_SUCCESS; +} +``` + +Output: + +``` +Map 1: + 0 -> zero + 1 -> one + 2 -> two + 3 -> three + 4 -> four + 5 -> five + +Map 2: + 0 -> null + 1 -> one + 2 -> two + 3 -> a triple + 4 -> four +``` + +### API + +```c +typedef int32_t bpt_key_t; + +// Querying +void *bpt_get(bpt_t bpt, bpt_key_t key); +bool bpt_has_key(bpt_t bpt, bpt_key_t key); + +// Adding and Removing Entries +bpt_t bpt_assoc(bpt_t bpt, bpt_key_t key, void *item); +bpt_t bpt_dissoc(bpt_t bpt, bpt_key_t key); + +// Managing Memory +void bpt_retain(bpt_t bpt); +void bpt_release(bpt_t bpt); +void bpt_dealloc(bpt_t bpt); +void bpt_set_dealloc_hook(bpt_t bpt, bpt_key_t key, void (*hook)(bpt_key_t key, void* value)); + +// Making Maps Functional +void bpt_seal(bpt_t bpt); +``` + + +[Patricia Trees]: http://citeseer.ist.psu.edu/okasaki98fast.html |