//===- sdbm-api-test.cpp - Tests for SDBM expression APIs -----------------===// // // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. // See https://llvm.org/LICENSE.txt for license information. // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception // //===----------------------------------------------------------------------===// // RUN: mlir-sdbm-api-test | FileCheck %s #include "mlir/Dialect/SDBM/SDBM.h" #include "mlir/Dialect/SDBM/SDBMDialect.h" #include "mlir/Dialect/SDBM/SDBMExpr.h" #include "mlir/IR/MLIRContext.h" #include "llvm/Support/raw_ostream.h" #include "APITest.h" using namespace mlir; static MLIRContext *ctx() { static thread_local MLIRContext context(/*loadAllDialects=*/false); static thread_local bool once = (context.getOrLoadDialect(), true); (void)once; return &context; } static SDBMDialect *dialect() { static thread_local SDBMDialect *d = nullptr; if (!d) { d = ctx()->getOrLoadDialect(); } return d; } static SDBMExpr dim(unsigned pos) { return SDBMDimExpr::get(dialect(), pos); } static SDBMExpr symb(unsigned pos) { return SDBMSymbolExpr::get(dialect(), pos); } namespace { using namespace mlir::ops_assertions; TEST_FUNC(SDBM_SingleConstraint) { // Build an SDBM defined by // d0 - 3 <= 0 <=> d0 <= 3. auto sdbm = SDBM::get(dim(0) - 3, llvm::None); // CHECK: cst d0 // CHECK-NEXT: cst inf 3 // CHECK-NEXT: d0 inf inf sdbm.print(llvm::outs()); } TEST_FUNC(SDBM_Equality) { // Build an SDBM defined by // // d0 - d1 - 3 = 0 // <=> {d0 - d1 - 3 <= 0 and d0 - d1 - 3 >= 0} // <=> {d0 - d1 <= 3 and d1 - d0 <= -3}. auto sdbm = SDBM::get(llvm::None, dim(0) - dim(1) - 3); // CHECK: cst d0 d1 // CHECK-NEXT: cst inf inf inf // CHECK-NEXT: d0 inf inf -3 // CHECK-NEXT: d1 inf 3 inf sdbm.print(llvm::outs()); } TEST_FUNC(SDBM_TrivialSimplification) { // Build an SDBM defined by // // d0 - 3 <= 0 <=> d0 <= 3 // d0 - 5 <= 0 <=> d0 <= 5 // // which should get simplified on construction to only the former. auto sdbm = SDBM::get({dim(0) - 3, dim(0) - 5}, llvm::None); // CHECK: cst d0 // CHECK-NEXT: cst inf 3 // CHECK-NEXT: d0 inf inf sdbm.print(llvm::outs()); } TEST_FUNC(SDBM_StripeInducedIneqs) { // Build an SDBM defined by d1 = d0 # 3, which induces the constraints // // d1 - d0 <= 0 // d0 - d1 <= 3 - 1 = 2 auto sdbm = SDBM::get(llvm::None, dim(1) - stripe(dim(0), 3)); // CHECK: cst d0 d1 // CHECK-NEXT: cst inf inf inf // CHECK-NEXT: d0 inf inf 0 // CHECK-NEXT: d1 inf 2 0 // CHECK-NEXT: d1 = d0 # 3 sdbm.print(llvm::outs()); } TEST_FUNC(SDBM_StripeTemporaries) { // Build an SDBM defined by d0 # 3 <= 0, which creates a temporary // t0 = d0 # 3 leading to a constraint t0 <= 0 and the stripe-induced // constraints // // t0 - d0 <= 0 // d0 - t0 <= 3 - 1 = 2 auto sdbm = SDBM::get(stripe(dim(0), 3), llvm::None); // CHECK: cst d0 t0 // CHECK-NEXT: cst inf inf 0 // CHECK-NEXT: d0 inf inf 0 // CHECK-NEXT: t0 inf 2 inf // CHECK-NEXT: t0 = d0 # 3 sdbm.print(llvm::outs()); } TEST_FUNC(SDBM_ElideInducedInequalities) { // Build an SDBM defined by a single stripe equality d0 = s0 # 3 and make sure // the induced inequalities are not present after converting the SDBM back // into lists of expressions. auto sdbm = SDBM::get(llvm::None, {dim(0) - stripe(symb(0), 3)}); SmallVector eqs, ineqs; sdbm.getSDBMExpressions(dialect(), ineqs, eqs); // CHECK-EMPTY: for (auto ineq : ineqs) ineq.print(llvm::outs() << '\n'); llvm::outs() << "\n"; // CHECK: d0 - s0 # 3 // CHECK-EMPTY: for (auto eq : eqs) eq.print(llvm::outs() << '\n'); llvm::outs() << "\n\n"; } TEST_FUNC(SDBM_StripeTightening) { // Build an SDBM defined by // // d0 = s0 # 3 # 5 // s0 # 3 # 5 - d1 + 42 = 0 // s0 # 3 - d0 <= 2 // // where the last inequality is tighter than that induced by the first stripe // equality (s0 # 3 - d0 <= 5 - 1 = 4). Check that the conversion from SDBM // back to the lists of constraints conserves both the stripe equality and the // tighter inequality. auto s = stripe(stripe(symb(0), 3), 5); auto tight = stripe(symb(0), 3) - dim(0) - 2; auto sdbm = SDBM::get({tight}, {s - dim(0), s - dim(1) + 42}); SmallVector eqs, ineqs; sdbm.getSDBMExpressions(dialect(), ineqs, eqs); // CHECK: s0 # 3 + -2 - d0 // CHECK-EMPTY: for (auto ineq : ineqs) ineq.print(llvm::outs() << '\n'); llvm::outs() << "\n"; // CHECK-DAG: d1 + -42 - d0 // CHECK-DAG: d0 - s0 # 3 # 5 for (auto eq : eqs) eq.print(llvm::outs() << '\n'); llvm::outs() << "\n\n"; } TEST_FUNC(SDBM_StripeTransitive) { // Build an SDBM defined by // // d0 = d1 # 3 // d0 = d2 # 7 // // where the same dimension is declared equal to two stripe expressions over // different variables. This is practically handled by introducing a // temporary variable for the second stripe expression and adding an equality // constraint between this variable and the original dimension variable. auto sdbm = SDBM::get( llvm::None, {stripe(dim(1), 3) - dim(0), stripe(dim(2), 7) - dim(0)}); // CHECK: cst d0 d1 d2 t0 // CHECK-NEXT: cst inf inf inf inf inf // CHECK-NEXT: d0 inf 0 2 inf 0 // CHECK-NEXT: d1 inf 0 inf inf inf // CHECK-NEXT: d2 inf inf inf inf 0 // CHECK-NEXT: t0 inf 0 inf 6 inf // CHECK-NEXT: t0 = d2 # 7 // CHECK-NEXT: d0 = d1 # 3 sdbm.print(llvm::outs()); } } // end namespace int main() { RUN_TESTS(); return 0; }