summaryrefslogtreecommitdiff
path: root/c_src/raid/combo.h
blob: 8efc31ad2a5e4df2235e4bd25c6e1d7204b6cefb (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
/*
 * Copyright (C) 2013 Andrea Mazzoleni
 *
 * This program is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 2 of the License, or
 * (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 */

#ifndef __RAID_COMBO_H
#define __RAID_COMBO_H

#include <assert.h>

/**
 * Get the first permutation with repetition of r of n elements.
 *
 * Typical use is with permutation_next() in the form :
 *
 * int i[R];
 * permutation_first(R, N, i);
 * do {
 *    code using i[0], i[1], ..., i[R-1]
 * } while (permutation_next(R, N, i));
 *
 * It's equivalent at the code :
 *
 * for(i[0]=0;i[0]<N;++i[0])
 *     for(i[1]=0;i[1]<N;++i[1])
 *        ...
 *            for(i[R-2]=0;i[R-2]<N;++i[R-2])
 *                for(i[R-1]=0;i[R-1]<N;++i[R-1])
 *                    code using i[0], i[1], ..., i[R-1]
 */
static __always_inline void permutation_first(int r, int n, int *c)
{
	int i;

	(void)n; /* unused, but kept for clarity */
	assert(0 < r && r <= n);

	for (i = 0; i < r; ++i)
		c[i] = 0;
}

/**
 * Get the next permutation with repetition of r of n elements.
 * Return ==0 when finished.
 */
static __always_inline int permutation_next(int r, int n, int *c)
{
	int i = r - 1; /* present position */

recurse:
	/* next element at position i */
	++c[i];

	/* if the position has reached the max */
	if (c[i] >= n) {

		/* if we are at the first level, we have finished */
		if (i == 0)
			return 0;

		/* increase the previous position */
		--i;
		goto recurse;
	}

	++i;

	/* initialize all the next positions, if any */
	while (i < r) {
		c[i] = 0;
		++i;
	}

	return 1;
}

/**
 * Get the first combination without repetition of r of n elements.
 *
 * Typical use is with combination_next() in the form :
 *
 * int i[R];
 * combination_first(R, N, i);
 * do {
 *    code using i[0], i[1], ..., i[R-1]
 * } while (combination_next(R, N, i));
 *
 * It's equivalent at the code :
 *
 * for(i[0]=0;i[0]<N-(R-1);++i[0])
 *     for(i[1]=i[0]+1;i[1]<N-(R-2);++i[1])
 *        ...
 *            for(i[R-2]=i[R-3]+1;i[R-2]<N-1;++i[R-2])
 *                for(i[R-1]=i[R-2]+1;i[R-1]<N;++i[R-1])
 *                    code using i[0], i[1], ..., i[R-1]
 */
static __always_inline void combination_first(int r, int n, int *c)
{
	int i;

	(void)n; /* unused, but kept for clarity */
	assert(0 < r && r <= n);

	for (i = 0; i < r; ++i)
		c[i] = i;
}

/**
 * Get the next combination without repetition of r of n elements.
 * Return ==0 when finished.
 */
static __always_inline int combination_next(int r, int n, int *c)
{
	int i = r - 1; /* present position */
	int h = n; /* high limit for this position */

recurse:
	/* next element at position i */
	++c[i];

	/* if the position has reached the max */
	if (c[i] >= h) {

		/* if we are at the first level, we have finished */
		if (i == 0)
			return 0;

		/* increase the previous position */
		--i;
		--h;
		goto recurse;
	}

	++i;

	/* initialize all the next positions, if any */
	while (i < r) {
		/* each position start at the next value of the previous one */
		c[i] = c[i - 1] + 1;
		++i;
	}

	return 1;
}
#endif