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|  | 1 | +// Copyright 2016 The Rust Project Developers. See the COPYRIGHT | 
|  | 2 | +// file at the top-level directory of this distribution and at | 
|  | 3 | +// http://rust-lang.org/COPYRIGHT. | 
|  | 4 | +// | 
|  | 5 | +// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or | 
|  | 6 | +// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license | 
|  | 7 | +// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your | 
|  | 8 | +// option. This file may not be copied, modified, or distributed | 
|  | 9 | +// except according to those terms. | 
|  | 10 | + | 
|  | 11 | +//! Algorithm citation: | 
|  | 12 | +//! A Simple, Fast Dominance Algorithm. | 
|  | 13 | +//! Keith D. Cooper, Timothy J. Harvey, and Ken Kennedy | 
|  | 14 | +//! Rice Computer Science TS-06-33870 | 
|  | 15 | +//! https://www.cs.rice.edu/~keith/EMBED/dom.pdf | 
|  | 16 | +
 | 
|  | 17 | +use super::Graph; | 
|  | 18 | +use super::iterate::reverse_post_order; | 
|  | 19 | +use super::super::indexed_vec::{IndexVec, Idx}; | 
|  | 20 | + | 
|  | 21 | +use std::fmt; | 
|  | 22 | + | 
|  | 23 | +#[cfg(test)] | 
|  | 24 | +mod test; | 
|  | 25 | + | 
|  | 26 | +pub fn dominators<G: Graph>(graph: &G) -> Dominators<G> { | 
|  | 27 | +    let start_node = graph.start_node(); | 
|  | 28 | +    let rpo = reverse_post_order(graph, start_node); | 
|  | 29 | +    dominators_given_rpo(graph, &rpo) | 
|  | 30 | +} | 
|  | 31 | + | 
|  | 32 | +pub fn dominators_given_rpo<G: Graph>(graph: &G, rpo: &[G::Node]) -> Dominators<G> { | 
|  | 33 | +    let start_node = graph.start_node(); | 
|  | 34 | +    assert_eq!(rpo[0], start_node); | 
|  | 35 | + | 
|  | 36 | +    // compute the post order index (rank) for each node | 
|  | 37 | +    let mut post_order_rank: IndexVec<G::Node, usize> = IndexVec::from_elem_n(usize::default(), | 
|  | 38 | +                                                                              graph.num_nodes()); | 
|  | 39 | +    for (index, node) in rpo.iter().rev().cloned().enumerate() { | 
|  | 40 | +        post_order_rank[node] = index; | 
|  | 41 | +    } | 
|  | 42 | + | 
|  | 43 | +    let mut immediate_dominators: IndexVec<G::Node, Option<G::Node>> = | 
|  | 44 | +        IndexVec::from_elem_n(Option::default(), graph.num_nodes()); | 
|  | 45 | +    immediate_dominators[start_node] = Some(start_node); | 
|  | 46 | + | 
|  | 47 | +    let mut changed = true; | 
|  | 48 | +    while changed { | 
|  | 49 | +        changed = false; | 
|  | 50 | + | 
|  | 51 | +        for &node in &rpo[1..] { | 
|  | 52 | +            let mut new_idom = None; | 
|  | 53 | +            for pred in graph.predecessors(node) { | 
|  | 54 | +                if immediate_dominators[pred].is_some() { | 
|  | 55 | +                    // (*) | 
|  | 56 | +                    // (*) dominators for `pred` have been calculated | 
|  | 57 | +                    new_idom = intersect_opt::<G>(&post_order_rank, | 
|  | 58 | +                                                  &immediate_dominators, | 
|  | 59 | +                                                  new_idom, | 
|  | 60 | +                                                  Some(pred)); | 
|  | 61 | +                } | 
|  | 62 | +            } | 
|  | 63 | + | 
|  | 64 | +            if new_idom != immediate_dominators[node] { | 
|  | 65 | +                immediate_dominators[node] = new_idom; | 
|  | 66 | +                changed = true; | 
|  | 67 | +            } | 
|  | 68 | +        } | 
|  | 69 | +    } | 
|  | 70 | + | 
|  | 71 | +    Dominators { | 
|  | 72 | +        post_order_rank: post_order_rank, | 
|  | 73 | +        immediate_dominators: immediate_dominators, | 
|  | 74 | +    } | 
|  | 75 | +} | 
|  | 76 | + | 
|  | 77 | +fn intersect_opt<G: Graph>(post_order_rank: &IndexVec<G::Node, usize>, | 
|  | 78 | +                           immediate_dominators: &IndexVec<G::Node, Option<G::Node>>, | 
|  | 79 | +                           node1: Option<G::Node>, | 
|  | 80 | +                           node2: Option<G::Node>) | 
|  | 81 | +                           -> Option<G::Node> { | 
|  | 82 | +    match (node1, node2) { | 
|  | 83 | +        (None, None) => None, | 
|  | 84 | +        (Some(n), None) | (None, Some(n)) => Some(n), | 
|  | 85 | +        (Some(n1), Some(n2)) => Some(intersect::<G>(post_order_rank, immediate_dominators, n1, n2)), | 
|  | 86 | +    } | 
|  | 87 | +} | 
|  | 88 | + | 
|  | 89 | +fn intersect<G: Graph>(post_order_rank: &IndexVec<G::Node, usize>, | 
|  | 90 | +                       immediate_dominators: &IndexVec<G::Node, Option<G::Node>>, | 
|  | 91 | +                       mut node1: G::Node, | 
|  | 92 | +                       mut node2: G::Node) | 
|  | 93 | +                       -> G::Node { | 
|  | 94 | +    while node1 != node2 { | 
|  | 95 | +        while post_order_rank[node1] < post_order_rank[node2] { | 
|  | 96 | +            node1 = immediate_dominators[node1].unwrap(); | 
|  | 97 | +        } | 
|  | 98 | + | 
|  | 99 | +        while post_order_rank[node2] < post_order_rank[node1] { | 
|  | 100 | +            node2 = immediate_dominators[node2].unwrap(); | 
|  | 101 | +        } | 
|  | 102 | +    } | 
|  | 103 | +    return node1; | 
|  | 104 | +} | 
|  | 105 | + | 
|  | 106 | +#[derive(Clone, Debug)] | 
|  | 107 | +pub struct Dominators<G: Graph> { | 
|  | 108 | +    post_order_rank: IndexVec<G::Node, usize>, | 
|  | 109 | +    immediate_dominators: IndexVec<G::Node, Option<G::Node>>, | 
|  | 110 | +} | 
|  | 111 | + | 
|  | 112 | +impl<G: Graph> Dominators<G> { | 
|  | 113 | +    pub fn is_reachable(&self, node: G::Node) -> bool { | 
|  | 114 | +        self.immediate_dominators[node].is_some() | 
|  | 115 | +    } | 
|  | 116 | + | 
|  | 117 | +    pub fn immediate_dominator(&self, node: G::Node) -> G::Node { | 
|  | 118 | +        assert!(self.is_reachable(node), "node {:?} is not reachable", node); | 
|  | 119 | +        self.immediate_dominators[node].unwrap() | 
|  | 120 | +    } | 
|  | 121 | + | 
|  | 122 | +    pub fn dominators(&self, node: G::Node) -> Iter<G> { | 
|  | 123 | +        assert!(self.is_reachable(node), "node {:?} is not reachable", node); | 
|  | 124 | +        Iter { | 
|  | 125 | +            dominators: self, | 
|  | 126 | +            node: Some(node), | 
|  | 127 | +        } | 
|  | 128 | +    } | 
|  | 129 | + | 
|  | 130 | +    pub fn is_dominated_by(&self, node: G::Node, dom: G::Node) -> bool { | 
|  | 131 | +        // FIXME -- could be optimized by using post-order-rank | 
|  | 132 | +        self.dominators(node).any(|n| n == dom) | 
|  | 133 | +    } | 
|  | 134 | + | 
|  | 135 | +    pub fn mutual_dominator_node(&self, node1: G::Node, node2: G::Node) -> G::Node { | 
|  | 136 | +        assert!(self.is_reachable(node1), | 
|  | 137 | +                "node {:?} is not reachable", | 
|  | 138 | +                node1); | 
|  | 139 | +        assert!(self.is_reachable(node2), | 
|  | 140 | +                "node {:?} is not reachable", | 
|  | 141 | +                node2); | 
|  | 142 | +        intersect::<G>(&self.post_order_rank, | 
|  | 143 | +                       &self.immediate_dominators, | 
|  | 144 | +                       node1, | 
|  | 145 | +                       node2) | 
|  | 146 | +    } | 
|  | 147 | + | 
|  | 148 | +    pub fn mutual_dominator<I>(&self, iter: I) -> Option<G::Node> | 
|  | 149 | +        where I: IntoIterator<Item = G::Node> | 
|  | 150 | +    { | 
|  | 151 | +        let mut iter = iter.into_iter(); | 
|  | 152 | +        iter.next() | 
|  | 153 | +            .map(|dom| iter.fold(dom, |dom, node| self.mutual_dominator_node(dom, node))) | 
|  | 154 | +    } | 
|  | 155 | + | 
|  | 156 | +    pub fn all_immediate_dominators(&self) -> &IndexVec<G::Node, Option<G::Node>> { | 
|  | 157 | +        &self.immediate_dominators | 
|  | 158 | +    } | 
|  | 159 | + | 
|  | 160 | +    pub fn dominator_tree(&self) -> DominatorTree<G> { | 
|  | 161 | +        let elem: Vec<G::Node> = Vec::new(); | 
|  | 162 | +        let mut children: IndexVec<G::Node, Vec<G::Node>> = | 
|  | 163 | +            IndexVec::from_elem_n(elem, self.immediate_dominators.len()); | 
|  | 164 | +        let mut root = None; | 
|  | 165 | +        for (index, immed_dom) in self.immediate_dominators.iter().enumerate() { | 
|  | 166 | +            let node = G::Node::new(index); | 
|  | 167 | +            match *immed_dom { | 
|  | 168 | +                None => { | 
|  | 169 | +                    // node not reachable | 
|  | 170 | +                } | 
|  | 171 | +                Some(immed_dom) => { | 
|  | 172 | +                    if node == immed_dom { | 
|  | 173 | +                        root = Some(node); | 
|  | 174 | +                    } else { | 
|  | 175 | +                        children[immed_dom].push(node); | 
|  | 176 | +                    } | 
|  | 177 | +                } | 
|  | 178 | +            } | 
|  | 179 | +        } | 
|  | 180 | +        DominatorTree { | 
|  | 181 | +            root: root.unwrap(), | 
|  | 182 | +            children: children, | 
|  | 183 | +        } | 
|  | 184 | +    } | 
|  | 185 | +} | 
|  | 186 | + | 
|  | 187 | +pub struct Iter<'dom, G: Graph + 'dom> { | 
|  | 188 | +    dominators: &'dom Dominators<G>, | 
|  | 189 | +    node: Option<G::Node>, | 
|  | 190 | +} | 
|  | 191 | + | 
|  | 192 | +impl<'dom, G: Graph> Iterator for Iter<'dom, G> { | 
|  | 193 | +    type Item = G::Node; | 
|  | 194 | + | 
|  | 195 | +    fn next(&mut self) -> Option<Self::Item> { | 
|  | 196 | +        if let Some(node) = self.node { | 
|  | 197 | +            let dom = self.dominators.immediate_dominator(node); | 
|  | 198 | +            if dom == node { | 
|  | 199 | +                self.node = None; // reached the root | 
|  | 200 | +            } else { | 
|  | 201 | +                self.node = Some(dom); | 
|  | 202 | +            } | 
|  | 203 | +            return Some(node); | 
|  | 204 | +        } else { | 
|  | 205 | +            return None; | 
|  | 206 | +        } | 
|  | 207 | +    } | 
|  | 208 | +} | 
|  | 209 | + | 
|  | 210 | +pub struct DominatorTree<G: Graph> { | 
|  | 211 | +    root: G::Node, | 
|  | 212 | +    children: IndexVec<G::Node, Vec<G::Node>>, | 
|  | 213 | +} | 
|  | 214 | + | 
|  | 215 | +impl<G: Graph> DominatorTree<G> { | 
|  | 216 | +    pub fn root(&self) -> G::Node { | 
|  | 217 | +        self.root | 
|  | 218 | +    } | 
|  | 219 | + | 
|  | 220 | +    pub fn children(&self, node: G::Node) -> &[G::Node] { | 
|  | 221 | +        &self.children[node] | 
|  | 222 | +    } | 
|  | 223 | + | 
|  | 224 | +    pub fn iter_children_of(&self, node: G::Node) -> IterChildrenOf<G> { | 
|  | 225 | +        IterChildrenOf { | 
|  | 226 | +            tree: self, | 
|  | 227 | +            stack: vec![node], | 
|  | 228 | +        } | 
|  | 229 | +    } | 
|  | 230 | +} | 
|  | 231 | + | 
|  | 232 | +pub struct IterChildrenOf<'iter, G: Graph + 'iter> { | 
|  | 233 | +    tree: &'iter DominatorTree<G>, | 
|  | 234 | +    stack: Vec<G::Node>, | 
|  | 235 | +} | 
|  | 236 | + | 
|  | 237 | +impl<'iter, G: Graph> Iterator for IterChildrenOf<'iter, G> { | 
|  | 238 | +    type Item = G::Node; | 
|  | 239 | + | 
|  | 240 | +    fn next(&mut self) -> Option<G::Node> { | 
|  | 241 | +        if let Some(node) = self.stack.pop() { | 
|  | 242 | +            self.stack.extend(self.tree.children(node)); | 
|  | 243 | +            Some(node) | 
|  | 244 | +        } else { | 
|  | 245 | +            None | 
|  | 246 | +        } | 
|  | 247 | +    } | 
|  | 248 | +} | 
|  | 249 | + | 
|  | 250 | +impl<G: Graph> fmt::Debug for DominatorTree<G> { | 
|  | 251 | +    fn fmt(&self, fmt: &mut fmt::Formatter) -> Result<(), fmt::Error> { | 
|  | 252 | +        fmt::Debug::fmt(&DominatorTreeNode { | 
|  | 253 | +                            tree: self, | 
|  | 254 | +                            node: self.root, | 
|  | 255 | +                        }, | 
|  | 256 | +                        fmt) | 
|  | 257 | +    } | 
|  | 258 | +} | 
|  | 259 | + | 
|  | 260 | +struct DominatorTreeNode<'tree, G: Graph + 'tree> { | 
|  | 261 | +    tree: &'tree DominatorTree<G>, | 
|  | 262 | +    node: G::Node, | 
|  | 263 | +} | 
|  | 264 | + | 
|  | 265 | +impl<'tree, G: Graph> fmt::Debug for DominatorTreeNode<'tree, G> { | 
|  | 266 | +    fn fmt(&self, fmt: &mut fmt::Formatter) -> Result<(), fmt::Error> { | 
|  | 267 | +        let subtrees: Vec<_> = self.tree | 
|  | 268 | +            .children(self.node) | 
|  | 269 | +            .iter() | 
|  | 270 | +            .map(|&child| { | 
|  | 271 | +                DominatorTreeNode { | 
|  | 272 | +                    tree: self.tree, | 
|  | 273 | +                    node: child, | 
|  | 274 | +                } | 
|  | 275 | +            }) | 
|  | 276 | +            .collect(); | 
|  | 277 | +        fmt.debug_tuple("") | 
|  | 278 | +            .field(&self.node) | 
|  | 279 | +            .field(&subtrees) | 
|  | 280 | +            .finish() | 
|  | 281 | +    } | 
|  | 282 | +} | 
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