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      1  1.2  joerg /*	$NetBSD: graph2.h,v 1.2 2021/01/07 16:03:08 joerg Exp $	*/
      2  1.1  joerg /*-
      3  1.1  joerg  * Copyright (c) 2009 The NetBSD Foundation, Inc.
      4  1.1  joerg  * All rights reserved.
      5  1.1  joerg  *
      6  1.1  joerg  * This code is derived from software contributed to The NetBSD Foundation
      7  1.1  joerg  * by Joerg Sonnenberger.
      8  1.1  joerg  *
      9  1.1  joerg  * Redistribution and use in source and binary forms, with or without
     10  1.1  joerg  * modification, are permitted provided that the following conditions
     11  1.1  joerg  * are met:
     12  1.1  joerg  *
     13  1.1  joerg  * 1. Redistributions of source code must retain the above copyright
     14  1.1  joerg  *    notice, this list of conditions and the following disclaimer.
     15  1.1  joerg  * 2. Redistributions in binary form must reproduce the above copyright
     16  1.1  joerg  *    notice, this list of conditions and the following disclaimer in
     17  1.1  joerg  *    the documentation and/or other materials provided with the
     18  1.1  joerg  *    distribution.
     19  1.1  joerg  *
     20  1.1  joerg  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
     21  1.1  joerg  * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
     22  1.1  joerg  * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
     23  1.1  joerg  * FOR A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE
     24  1.1  joerg  * COPYRIGHT HOLDERS OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
     25  1.1  joerg  * INCIDENTAL, SPECIAL, EXEMPLARY OR CONSEQUENTIAL DAMAGES (INCLUDING,
     26  1.1  joerg  * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
     27  1.1  joerg  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
     28  1.1  joerg  * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
     29  1.1  joerg  * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT
     30  1.1  joerg  * OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     31  1.1  joerg  * SUCH DAMAGE.
     32  1.1  joerg  */
     33  1.1  joerg 
     34  1.1  joerg /*
     35  1.2  joerg  * Implementation of common 2/3-graph routines:
     36  1.2  joerg  * - build a 2/3-graph with hash-pairs as edges
     37  1.2  joerg  * - check a 2/3-graph for acyclicness and compute an output order
     38  1.2  joerg *
     39  1.2  joerg  * For each vertex in the 2/3-graph, the incidence lists need to kept.
     40  1.2  joerg  * Avoid storing the full list by just XORing the indices of the still
     41  1.2  joerg  * incident edges and the number of such edges as that's all the peeling
     42  1.2  joerg  * computation needs. This is inspired by:
     43  1.2  joerg  *   Cache-Oblivious Peeling of Random Hypergraphs by Djamal Belazzougui,
     44  1.2  joerg  *   Paolo Boldi, Giuseppe Ottaviano, Rossano Venturini, and Sebastiano
     45  1.2  joerg  *   Vigna. https://arxiv.org/abs/1312.0526
     46  1.2  joerg  *
     47  1.2  joerg  * Unlike in the paper, we don't care about external storage and have
     48  1.2  joerg  * the edge list at hand all the time. As such, no ordering is necessary
     49  1.2  joerg  * and the vertices of the edge don't have to be copied.
     50  1.2  joerg  *
     51  1.2  joerg  * The core observation of the paper above is that for a degree of one,
     52  1.2  joerg  * the incident edge can be obtained directly.
     53  1.1  joerg  */
     54  1.1  joerg 
     55  1.2  joerg #ifndef GRAPH_SIZE
     56  1.2  joerg #define GRAPH_SIZE 2
     57  1.2  joerg #endif
     58  1.2  joerg 
     59  1.2  joerg #define SIZED__(n, i) n ## i
     60  1.2  joerg #define SIZED_(n, i) SIZED__(n, i)
     61  1.2  joerg #define SIZED(n) SIZED_(n, GRAPH_SIZE)
     62  1.2  joerg #define SIZED2__(n, i, m) n ## i ## m
     63  1.2  joerg #define SIZED2_(n, i, m) SIZED2__(n, i, m)
     64  1.2  joerg #define SIZED2(n) SIZED2_(graph, GRAPH_SIZE, n)
     65  1.2  joerg 
     66  1.2  joerg struct SIZED(vertex) {
     67  1.2  joerg 	uint32_t degree, edges;
     68  1.1  joerg };
     69  1.1  joerg 
     70  1.2  joerg struct SIZED(edge) {
     71  1.2  joerg 	uint32_t vertices[GRAPH_SIZE];
     72  1.1  joerg };
     73  1.1  joerg 
     74  1.2  joerg struct SIZED(graph) {
     75  1.2  joerg 	struct SIZED(vertex) *verts;
     76  1.2  joerg 	struct SIZED(edge) *edges;
     77  1.1  joerg 	uint32_t output_index;
     78  1.1  joerg 	uint32_t *output_order;
     79  1.1  joerg 	uint8_t *visited;
     80  1.1  joerg 	uint32_t e, v;
     81  1.2  joerg 	int hash_fudge;
     82  1.1  joerg };
     83  1.1  joerg 
     84  1.2  joerg void	SIZED2(_setup)(struct SIZED(graph) *, uint32_t, uint32_t);
     85  1.2  joerg void	SIZED2(_free)(struct SIZED(graph) *);
     86  1.1  joerg 
     87  1.2  joerg int	SIZED2(_hash)(struct nbperf *, struct SIZED(graph) *);
     88  1.2  joerg int	SIZED2(_output_order)(struct SIZED(graph) *graph);
     89