假设我有一个NSNumbers NSNumbers像这样:1,2,3
然后所有可能的排列的集合看起来像这样:
在Objective-C中执行此操作的好方法是什么?
最佳答案
我使用了上面Wevah回答中的代码,发现了一些问题,因此在此处进行更改以使其正常工作:
NSArray + Permutation.h
@interface NSArray(Permutation)
- (NSArray *)allPermutations;
@end
NSArray + Permutation.m
#import "NSArray+Permutation.h"
#define MAX_PERMUTATION_COUNT 20000
NSInteger *pc_next_permutation(NSInteger *perm, const NSInteger size);
NSInteger *pc_next_permutation(NSInteger *perm, const NSInteger size)
{
// slide down the array looking for where we're smaller than the next guy
NSInteger pos1;
for (pos1 = size - 1; perm[pos1] >= perm[pos1 + 1] && pos1 > -1; --pos1);
// if this doesn't occur, we've finished our permutations
// the array is reversed: (1, 2, 3, 4) => (4, 3, 2, 1)
if (pos1 == -1)
return NULL;
assert(pos1 >= 0 && pos1 <= size);
NSInteger pos2;
// slide down the array looking for a bigger number than what we found before
for (pos2 = size; perm[pos2] <= perm[pos1] && pos2 > 0; --pos2);
assert(pos2 >= 0 && pos2 <= size);
// swap them
NSInteger tmp = perm[pos1]; perm[pos1] = perm[pos2]; perm[pos2] = tmp;
// now reverse the elements in between by swapping the ends
for (++pos1, pos2 = size; pos1 < pos2; ++pos1, --pos2) {
assert(pos1 >= 0 && pos1 <= size);
assert(pos2 >= 0 && pos2 <= size);
tmp = perm[pos1]; perm[pos1] = perm[pos2]; perm[pos2] = tmp;
}
return perm;
}
@implementation NSArray(Permutation)
- (NSArray *)allPermutations
{
NSInteger size = [self count];
NSInteger *perm = malloc(size * sizeof(NSInteger));
for (NSInteger idx = 0; idx < size; ++idx)
perm[idx] = idx;
NSInteger permutationCount = 0;
--size;
NSMutableArray *perms = [NSMutableArray array];
do {
NSMutableArray *newPerm = [NSMutableArray array];
for (NSInteger i = 0; i <= size; ++i)
[newPerm addObject:[self objectAtIndex:perm[i]]];
[perms addObject:newPerm];
} while ((perm = pc_next_permutation(perm, size)) && ++permutationCount < MAX_PERMUTATION_COUNT);
free(perm);
return perms;
}
@end