/* * Derives from the dominator tree implementation in regalloc.rs, which is * licensed under the Apache Public License 2.0 with LLVM Exception. See: * https://github.com/bytecodealliance/regalloc.rs */ // This is an implementation of the algorithm described in // // A Simple, Fast Dominance Algorithm // Keith D. Cooper, Timothy J. Harvey, and Ken Kennedy // Department of Computer Science, Rice University, Houston, Texas, USA // TR-06-33870 // https://www.cs.rice.edu/~keith/EMBED/dom.pdf use crate::ir::{BlockId, INVALID_BLOCK}; // Helper fn merge_sets( idom: &[BlockId], // map from BlockId to BlockId block_to_rpo: &[Option], mut node1: BlockId, mut node2: BlockId, ) -> BlockId { while node1 != node2 { if node1 == INVALID_BLOCK || node2 == INVALID_BLOCK { return INVALID_BLOCK; } let rpo1 = block_to_rpo[node1].unwrap(); let rpo2 = block_to_rpo[node2].unwrap(); if rpo1 > rpo2 { node1 = idom[node1]; } else if rpo2 > rpo1 { node2 = idom[node2]; } } assert!(node1 == node2); node1 } pub fn calculate<'a, PredFn: Fn(BlockId) -> &'a [BlockId]>( num_blocks: usize, preds: PredFn, post_ord: &[BlockId], start: BlockId, ) -> Vec { // We have post_ord, which is the postorder sequence. // Compute maps from RPO to block number and vice-versa. let mut block_to_rpo = vec![None; num_blocks]; block_to_rpo.resize(num_blocks, None); for (i, rpo_block) in post_ord.iter().rev().enumerate() { block_to_rpo[*rpo_block] = Some(i as u32); } let mut idom = vec![INVALID_BLOCK; num_blocks]; // The start node must have itself as a parent. idom[start] = start; let mut changed = true; while changed { changed = false; // Consider blocks in reverse postorder. Skip any that are unreachable. for &node in post_ord.iter().rev() { let rponum = block_to_rpo[node].unwrap(); let mut parent = INVALID_BLOCK; for &pred in preds(node).iter() { let pred_rpo = match block_to_rpo[pred] { Some(r) => r, None => { // Skip unreachable preds. continue; } }; if pred_rpo < rponum { parent = pred; break; } } if parent != INVALID_BLOCK { for &pred in preds(node).iter() { if pred == parent { continue; } if idom[pred] == INVALID_BLOCK { continue; } parent = merge_sets(&idom, &block_to_rpo[..], parent, pred); } } if parent != INVALID_BLOCK && parent != idom[node] { idom[node] = parent; changed = true; } } } // Now set the start node's dominator-tree parent to "invalid"; // this allows the loop in `dominates` to terminate. idom[start] = INVALID_BLOCK; idom } pub fn dominates(idom: &[BlockId], a: BlockId, mut b: BlockId) -> bool { loop { if a == b { return true; } if b == INVALID_BLOCK { return false; } b = idom[b]; } }