#ifndef HALIDE_IR_EQUALITY_H #define HALIDE_IR_EQUALITY_H /** \file * Methods to test Exprs and Stmts for equality of value */ #include "IR.h" namespace Halide { namespace Internal { /** A compare struct suitable for use in std::map and std::set that * computes a lexical ordering on IR nodes. */ struct IRDeepCompare { bool operator()(const Expr &a, const Expr &b) const; bool operator()(const Stmt &a, const Stmt &b) const; }; /** Lossily track known equal exprs with a cache. On collision, the * old pair is evicted. Used below by ExprWithCompareCache. */ class IRCompareCache { private: struct Entry { Expr a, b; }; int bits; uint32_t hash(const Expr &a, const Expr &b) const { // Note this hash is symmetric in a and b, so that a // comparison in a and b hashes to the same bucket as // a comparison on b and a. uint64_t pa = (uint64_t)(a.get()); uint64_t pb = (uint64_t)(b.get()); uint64_t mix = (pa + pb) + (pa ^ pb); mix ^= (mix >> bits); mix ^= (mix >> (bits*2)); uint32_t bottom = mix & ((1 << bits) - 1); return bottom; } std::vector entries; public: void insert(const Expr &a, const Expr &b) { uint32_t h = hash(a, b); entries[h].a = a; entries[h].b = b; } bool contains(const Expr &a, const Expr &b) const { uint32_t h = hash(a, b); const Entry &e = entries[h]; return ((a.same_as(e.a) && b.same_as(e.b)) || (a.same_as(e.b) && b.same_as(e.a))); } void clear() { for (size_t i = 0; i < entries.size(); i++) { entries[i].a = Expr(); entries[i].b = Expr(); } } IRCompareCache() {} IRCompareCache(int b) : bits(b), entries(static_cast(1) << bits) {} }; /** A wrapper about Exprs so that they can be deeply compared with a * cache for known-equal subexpressions. Useful for unsanitized Exprs * coming in from the front-end, which may be horrible graphs with * sub-expressions that are equal by value but not by identity. This * isn't a comparison object like IRDeepCompare above, because libc++ * requires that comparison objects be stateless (and constructs a new * one for each comparison!), so they can't have a cache associated * with them. However, by sneakily making the cache a mutable member * of the objects being compared, we can dodge this issue. * * Clunky example usage: * \code Expr a, b, c, query; std::set s; IRCompareCache cache(8); s.insert(ExprWithCompareCache(a, &cache)); s.insert(ExprWithCompareCache(b, &cache)); s.insert(ExprWithCompareCache(c, &cache)); if (m.contains(ExprWithCompareCache(query, &cache))) {...} \endcode * */ struct ExprWithCompareCache { Expr expr; mutable IRCompareCache *cache; ExprWithCompareCache() : cache(nullptr) {} ExprWithCompareCache(const Expr &e, IRCompareCache *c) : expr(e), cache(c) {} /** The comparison uses (and updates) the cache */ bool operator<(const ExprWithCompareCache &other) const; }; /** Compare IR nodes for equality of value. Traverses entire IR * tree. For equality of reference, use Expr::same_as. If you're * comparing non-CSE'd Exprs, use graph_equal, which is safe for nasty * graphs of IR nodes. */ // @{ bool equal(const Expr &a, const Expr &b); bool equal(const Stmt &a, const Stmt &b); bool graph_equal(const Expr &a, const Expr &b); bool graph_equal(const Stmt &a, const Stmt &b); // @} void ir_equality_test(); } // namespace Internal } // namespace Halide #endif