[Mlir-commits] [llvm] [mlir] Add constant propagation for polynomial ops (PR #91655)
llvmlistbot at llvm.org
llvmlistbot at llvm.org
Thu May 9 14:08:26 PDT 2024
llvmbot wrote:
<!--LLVM PR SUMMARY COMMENT-->
@llvm/pr-subscribers-mlir
Author: Jeremy Kun (j2kun)
<details>
<summary>Changes</summary>
Rebased over
- https://github.com/llvm/llvm-project/pull/91410
- https://github.com/llvm/llvm-project/pull/91137
---
Patch is 73.03 KiB, truncated to 20.00 KiB below, full version: https://github.com/llvm/llvm-project/pull/91655.diff
17 Files Affected:
- (modified) mlir/include/mlir/Dialect/CommonFolders.h (+2-1)
- (modified) mlir/include/mlir/Dialect/Polynomial/IR/Polynomial.h (+183-43)
- (modified) mlir/include/mlir/Dialect/Polynomial/IR/Polynomial.td (+126-52)
- (modified) mlir/lib/Dialect/Polynomial/IR/CMakeLists.txt (+4)
- (modified) mlir/lib/Dialect/Polynomial/IR/Polynomial.cpp (+27-51)
- (modified) mlir/lib/Dialect/Polynomial/IR/PolynomialAttributes.cpp (+76-96)
- (added) mlir/lib/Dialect/Polynomial/IR/PolynomialCanonicalization.td (+37)
- (modified) mlir/lib/Dialect/Polynomial/IR/PolynomialOps.cpp (+59)
- (modified) mlir/test/Dialect/Polynomial/attributes.mlir (+8-14)
- (added) mlir/test/Dialect/Polynomial/canonicalization.mlir (+50)
- (modified) mlir/test/Dialect/Polynomial/ops.mlir (+33-31)
- (modified) mlir/test/Dialect/Polynomial/ops_errors.mlir (+33-33)
- (modified) mlir/test/Dialect/Polynomial/types.mlir (+37-28)
- (modified) mlir/unittests/Dialect/CMakeLists.txt (+1)
- (added) mlir/unittests/Dialect/Polynomial/CMakeLists.txt (+8)
- (added) mlir/unittests/Dialect/Polynomial/PolynomialMathTest.cpp (+43)
- (modified) utils/bazel/llvm-project-overlay/mlir/BUILD.bazel (+18)
``````````diff
diff --git a/mlir/include/mlir/Dialect/CommonFolders.h b/mlir/include/mlir/Dialect/CommonFolders.h
index 7dabc781cd595..29e6fccdf2553 100644
--- a/mlir/include/mlir/Dialect/CommonFolders.h
+++ b/mlir/include/mlir/Dialect/CommonFolders.h
@@ -82,7 +82,8 @@ Attribute constFoldBinaryOpConditional(ArrayRef<Attribute> operands,
if (!elementResult)
return {};
- return DenseElementsAttr::get(cast<ShapedType>(resultType), *elementResult);
+ return DenseElementsAttr::get(cast<ShapedType>(resultType),
+ llvm::ArrayRef(*elementResult));
}
if (isa<ElementsAttr>(operands[0]) && isa<ElementsAttr>(operands[1])) {
diff --git a/mlir/include/mlir/Dialect/Polynomial/IR/Polynomial.h b/mlir/include/mlir/Dialect/Polynomial/IR/Polynomial.h
index 3325a6fa3f9fc..f0e5bdf16036c 100644
--- a/mlir/include/mlir/Dialect/Polynomial/IR/Polynomial.h
+++ b/mlir/include/mlir/Dialect/Polynomial/IR/Polynomial.h
@@ -11,10 +11,13 @@
#include "mlir/Support/LLVM.h"
#include "mlir/Support/LogicalResult.h"
+#include "llvm/ADT/APFloat.h"
#include "llvm/ADT/APInt.h"
#include "llvm/ADT/ArrayRef.h"
#include "llvm/ADT/Hashing.h"
-#include "llvm/ADT/SmallVector.h"
+#include "llvm/ADT/SmallString.h"
+#include "llvm/ADT/Twine.h"
+#include "llvm/Support/raw_ostream.h"
namespace mlir {
@@ -27,98 +30,235 @@ namespace polynomial {
/// would want to specify 128-bit polynomials statically in the source code.
constexpr unsigned apintBitWidth = 64;
-/// A class representing a monomial of a single-variable polynomial with integer
-/// coefficients.
-class Monomial {
+template <class Derived, typename CoefficientType>
+class MonomialBase {
public:
- Monomial(int64_t coeff, uint64_t expo)
- : coefficient(apintBitWidth, coeff), exponent(apintBitWidth, expo) {}
-
- Monomial(const APInt &coeff, const APInt &expo)
+ MonomialBase(const CoefficientType &coeff, const APInt &expo)
: coefficient(coeff), exponent(expo) {}
+ virtual ~MonomialBase() = 0;
- Monomial() : coefficient(apintBitWidth, 0), exponent(apintBitWidth, 0) {}
+ const CoefficientType &getCoefficient() const { return coefficient; }
+ CoefficientType &getMutableCoefficient() { return coefficient; }
+ const APInt &getExponent() const { return exponent; }
+ void setCoefficient(const CoefficientType &coeff) { coefficient = coeff; }
+ void setExponent(const APInt &exp) { exponent = exp; }
- bool operator==(const Monomial &other) const {
+ bool operator==(const MonomialBase &other) const {
return other.coefficient == coefficient && other.exponent == exponent;
}
- bool operator!=(const Monomial &other) const {
+ bool operator!=(const MonomialBase &other) const {
return other.coefficient != coefficient || other.exponent != exponent;
}
/// Monomials are ordered by exponent.
- bool operator<(const Monomial &other) const {
+ bool operator<(const MonomialBase &other) const {
return (exponent.ult(other.exponent));
}
- friend ::llvm::hash_code hash_value(const Monomial &arg);
+ Derived add(const Derived &other) {
+ assert(exponent == other.exponent);
+ CoefficientType newCoeff = coefficient + other.coefficient;
+ Derived result;
+ result.setCoefficient(newCoeff);
+ result.setExponent(exponent);
+ return result;
+ }
-public:
- APInt coefficient;
+ virtual bool isMonic() const = 0;
+ virtual void
+ coefficientToString(llvm::SmallString<16> &coeffString) const = 0;
- // Always unsigned
+ template <class D, typename T>
+ friend ::llvm::hash_code hash_value(const MonomialBase<D, T> &arg);
+
+protected:
+ CoefficientType coefficient;
APInt exponent;
};
-/// A single-variable polynomial with integer coefficients.
-///
-/// Eg: x^1024 + x + 1
-///
-/// The symbols used as the polynomial's indeterminate don't matter, so long as
-/// it is used consistently throughout the polynomial.
-class Polynomial {
+/// A class representing a monomial of a single-variable polynomial with integer
+/// coefficients.
+class IntMonomial : public MonomialBase<IntMonomial, APInt> {
public:
- Polynomial() = delete;
+ IntMonomial(int64_t coeff, uint64_t expo)
+ : MonomialBase(APInt(apintBitWidth, coeff), APInt(apintBitWidth, expo)) {}
- explicit Polynomial(ArrayRef<Monomial> terms) : terms(terms){};
+ IntMonomial()
+ : MonomialBase(APInt(apintBitWidth, 0), APInt(apintBitWidth, 0)) {}
- // Returns a Polynomial from a list of monomials.
- // Fails if two monomials have the same exponent.
- static FailureOr<Polynomial> fromMonomials(ArrayRef<Monomial> monomials);
+ ~IntMonomial() override = default;
- /// Returns a polynomial with coefficients given by `coeffs`. The value
- /// coeffs[i] is converted to a monomial with exponent i.
- static Polynomial fromCoefficients(ArrayRef<int64_t> coeffs);
+ bool isMonic() const override { return coefficient == 1; }
+
+ void coefficientToString(llvm::SmallString<16> &coeffString) const override {
+ coefficient.toStringSigned(coeffString);
+ }
+};
+
+/// A class representing a monomial of a single-variable polynomial with integer
+/// coefficients.
+class FloatMonomial : public MonomialBase<FloatMonomial, APFloat> {
+public:
+ FloatMonomial(double coeff, uint64_t expo)
+ : MonomialBase(APFloat(coeff), APInt(apintBitWidth, expo)) {}
+
+ FloatMonomial() : MonomialBase(APFloat((double)0), APInt(apintBitWidth, 0)) {}
+
+ ~FloatMonomial() override = default;
+
+ bool isMonic() const override { return coefficient == APFloat(1.0); }
+
+ void coefficientToString(llvm::SmallString<16> &coeffString) const override {
+ coefficient.toString(coeffString);
+ }
+};
+
+template <class Derived, typename Monomial>
+class PolynomialBase {
+public:
+ PolynomialBase() = delete;
+
+ explicit PolynomialBase(ArrayRef<Monomial> terms) : terms(terms){};
explicit operator bool() const { return !terms.empty(); }
- bool operator==(const Polynomial &other) const {
+ bool operator==(const PolynomialBase &other) const {
return other.terms == terms;
}
- bool operator!=(const Polynomial &other) const {
+ bool operator!=(const PolynomialBase &other) const {
return !(other.terms == terms);
}
- // Prints polynomial to 'os'.
- void print(raw_ostream &os) const;
void print(raw_ostream &os, ::llvm::StringRef separator,
- ::llvm::StringRef exponentiation) const;
+ ::llvm::StringRef exponentiation) const {
+ bool first = true;
+ for (const Monomial &term : getTerms()) {
+ if (first) {
+ first = false;
+ } else {
+ os << separator;
+ }
+ std::string coeffToPrint;
+ if (term.isMonic() && term.getExponent().uge(1)) {
+ coeffToPrint = "";
+ } else {
+ llvm::SmallString<16> coeffString;
+ term.coefficientToString(coeffString);
+ coeffToPrint = coeffString.str();
+ }
+
+ if (term.getExponent() == 0) {
+ os << coeffToPrint;
+ } else if (term.getExponent() == 1) {
+ os << coeffToPrint << "x";
+ } else {
+ llvm::SmallString<16> expString;
+ term.getExponent().toStringSigned(expString);
+ os << coeffToPrint << "x" << exponentiation << expString;
+ }
+ }
+ }
+
+ Derived add(const Derived &other) {
+ SmallVector<Monomial> newTerms;
+ auto it1 = terms.begin();
+ auto it2 = other.terms.begin();
+ while (it1 != terms.end() || it2 != other.terms.end()) {
+ if (it1 == terms.end()) {
+ newTerms.emplace_back(*it2);
+ it2++;
+ continue;
+ }
+
+ if (it2 == other.terms.end()) {
+ newTerms.emplace_back(*it1);
+ it1++;
+ continue;
+ }
+
+ newTerms.emplace_back(it1->add(*it2));
+ it1++;
+ it2++;
+ }
+ return Derived(newTerms);
+ }
+
+ // Prints polynomial to 'os'.
+ void print(raw_ostream &os) const { print(os, " + ", "**"); }
+
void dump() const;
// Prints polynomial so that it can be used as a valid identifier
- std::string toIdentifier() const;
+ std::string toIdentifier() const {
+ std::string result;
+ llvm::raw_string_ostream os(result);
+ print(os, "_", "");
+ return os.str();
+ }
- unsigned getDegree() const;
+ unsigned getDegree() const {
+ return terms.back().getExponent().getZExtValue();
+ }
ArrayRef<Monomial> getTerms() const { return terms; }
- friend ::llvm::hash_code hash_value(const Polynomial &arg);
+ template <class D, typename T>
+ friend ::llvm::hash_code hash_value(const PolynomialBase<D, T> &arg);
private:
// The monomial terms for this polynomial.
SmallVector<Monomial> terms;
};
-// Make Polynomial hashable.
-inline ::llvm::hash_code hash_value(const Polynomial &arg) {
+/// A single-variable polynomial with integer coefficients.
+///
+/// Eg: x^1024 + x + 1
+class IntPolynomial : public PolynomialBase<IntPolynomial, IntMonomial> {
+public:
+ explicit IntPolynomial(ArrayRef<IntMonomial> terms) : PolynomialBase(terms) {}
+
+ // Returns a Polynomial from a list of monomials.
+ // Fails if two monomials have the same exponent.
+ static FailureOr<IntPolynomial>
+ fromMonomials(ArrayRef<IntMonomial> monomials);
+
+ /// Returns a polynomial with coefficients given by `coeffs`. The value
+ /// coeffs[i] is converted to a monomial with exponent i.
+ static IntPolynomial fromCoefficients(ArrayRef<int64_t> coeffs);
+};
+
+/// A single-variable polynomial with double coefficients.
+///
+/// Eg: 1.0 x^1024 + 3.5 x + 1e-05
+class FloatPolynomial : public PolynomialBase<FloatPolynomial, FloatMonomial> {
+public:
+ explicit FloatPolynomial(ArrayRef<FloatMonomial> terms)
+ : PolynomialBase(terms) {}
+
+ // Returns a Polynomial from a list of monomials.
+ // Fails if two monomials have the same exponent.
+ static FailureOr<FloatPolynomial>
+ fromMonomials(ArrayRef<FloatMonomial> monomials);
+
+ /// Returns a polynomial with coefficients given by `coeffs`. The value
+ /// coeffs[i] is converted to a monomial with exponent i.
+ static FloatPolynomial fromCoefficients(ArrayRef<double> coeffs);
+};
+
+// Make Polynomials hashable.
+template <class D, typename T>
+inline ::llvm::hash_code hash_value(const PolynomialBase<D, T> &arg) {
return ::llvm::hash_combine_range(arg.terms.begin(), arg.terms.end());
}
-inline ::llvm::hash_code hash_value(const Monomial &arg) {
+template <class D, typename T>
+inline ::llvm::hash_code hash_value(const MonomialBase<D, T> &arg) {
return llvm::hash_combine(::llvm::hash_value(arg.coefficient),
::llvm::hash_value(arg.exponent));
}
-inline raw_ostream &operator<<(raw_ostream &os, const Polynomial &polynomial) {
+template <class D, typename T>
+inline raw_ostream &operator<<(raw_ostream &os,
+ const PolynomialBase<D, T> &polynomial) {
polynomial.print(os);
return os;
}
diff --git a/mlir/include/mlir/Dialect/Polynomial/IR/Polynomial.td b/mlir/include/mlir/Dialect/Polynomial/IR/Polynomial.td
index ed1f4ce8b7e59..82b7d0c82952e 100644
--- a/mlir/include/mlir/Dialect/Polynomial/IR/Polynomial.td
+++ b/mlir/include/mlir/Dialect/Polynomial/IR/Polynomial.td
@@ -39,14 +39,14 @@ def Polynomial_Dialect : Dialect {
%a = polynomial.constant <1 + x**2 - 3x**3> : polynomial.polynomial<#ring>
// A constant polynomial in a ring with i32 coefficients, modulo (x^1024 + 1)
- #modulus = #polynomial.polynomial<1 + x**1024>
+ #modulus = #polynomial.int_polynomial<1 + x**1024>
#ring = #polynomial.ring<coefficientType=i32, polynomialModulus=#modulus>
%a = polynomial.constant <1 + x**2 - 3x**3> : polynomial.polynomial<#ring>
// A constant polynomial in a ring with i32 coefficients, with a polynomial
// modulus of (x^1024 + 1) and a coefficient modulus of 17.
- #modulus = #polynomial.polynomial<1 + x**1024>
- #ring = #polynomial.ring<coefficientType=i32, coefficientModulus=17, polynomialModulus=#modulus>
+ #modulus = #polynomial.int_polynomial<1 + x**1024>
+ #ring = #polynomial.ring<coefficientType=i32, coefficientModulus=17:i32, polynomialModulus=#modulus>
%a = polynomial.constant <1 + x**2 - 3x**3> : polynomial.polynomial<#ring>
```
}];
@@ -60,12 +60,12 @@ class Polynomial_Attr<string name, string attrMnemonic, list<Trait> traits = []>
let mnemonic = attrMnemonic;
}
-def Polynomial_PolynomialAttr : Polynomial_Attr<"Polynomial", "polynomial"> {
- let summary = "An attribute containing a single-variable polynomial.";
+def Polynomial_IntPolynomialAttr : Polynomial_Attr<"IntPolynomial", "int_polynomial"> {
+ let summary = "An attribute containing a single-variable polynomial with integer coefficients.";
let description = [{
- A polynomial attribute represents a single-variable polynomial, which
- is used to define the modulus of a `RingAttr`, as well as to define constants
- and perform constant folding for `polynomial` ops.
+ A polynomial attribute represents a single-variable polynomial with integer
+ coefficients, which is used to define the modulus of a `RingAttr`, as well
+ as to define constants and perform constant folding for `polynomial` ops.
The polynomial must be expressed as a list of monomial terms, with addition
or subtraction between them. The choice of variable name is arbitrary, but
@@ -76,13 +76,69 @@ def Polynomial_PolynomialAttr : Polynomial_Attr<"Polynomial", "polynomial"> {
Example:
```mlir
- #poly = #polynomial.polynomial<x**1024 + 1>
+ #poly = #polynomial.int_polynomial<x**1024 + 1>
```
}];
- let parameters = (ins "::mlir::polynomial::Polynomial":$polynomial);
+ let parameters = (ins "::mlir::polynomial::IntPolynomial":$polynomial);
let hasCustomAssemblyFormat = 1;
}
+def Polynomial_TypedIntPolynomialAttr : Polynomial_Attr<
+ "TypedIntPolynomial", "typed_int_polynomial", [TypedAttrInterface]> {
+ let summary = "A typed variant of int_polynomial for constant folding.";
+ let parameters = (ins "::mlir::Type":$type, "::mlir::polynomial::IntPolynomial":$value);
+ let assemblyFormat = "`<` struct(params) `>`";
+ let builders = [
+ AttrBuilderWithInferredContext<(ins "Type":$type,
+ "const IntPolynomial &":$value), [{
+ return $_get(type.getContext(), type, value);
+ }]>
+ ];
+ let extraClassDeclaration = [{
+ // used for constFoldBinaryOp
+ using ValueType = ::mlir::polynomial::IntPolynomial;
+ }];
+}
+
+def Polynomial_FloatPolynomialAttr : Polynomial_Attr<"FloatPolynomial", "float_polynomial"> {
+ let summary = "An attribute containing a single-variable polynomial with double precision floating point coefficients.";
+ let description = [{
+ A polynomial attribute represents a single-variable polynomial with double
+ precision floating point coefficients.
+
+ The polynomial must be expressed as a list of monomial terms, with addition
+ or subtraction between them. The choice of variable name is arbitrary, but
+ must be consistent across all the monomials used to define a single
+ attribute. The order of monomial terms is arbitrary, each monomial degree
+ must occur at most once.
+
+ Example:
+
+ ```mlir
+ #poly = #polynomial.float_polynomial<0.5 x**7 + 1.5>
+ ```
+ }];
+ let parameters = (ins "FloatPolynomial":$polynomial);
+ let hasCustomAssemblyFormat = 1;
+}
+
+def Polynomial_TypedFloatPolynomialAttr : Polynomial_Attr<
+ "TypedFloatPolynomial", "typed_float_polynomial", [TypedAttrInterface]> {
+ let summary = "A typed variant of float_polynomial for constant folding.";
+ let parameters = (ins "::mlir::Type":$type, "::mlir::polynomial::FloatPolynomial":$value);
+ let assemblyFormat = "`<` struct(params) `>`";
+ let builders = [
+ AttrBuilderWithInferredContext<(ins "Type":$type,
+ "const FloatPolynomial &":$value), [{
+ return $_get(type.getContext(), type, value);
+ }]>
+ ];
+ let extraClassDeclaration = [{
+ // used for constFoldBinaryOp
+ using ValueType = ::mlir::polynomial::FloatPolynomial;
+ }];
+}
+
def Polynomial_RingAttr : Polynomial_Attr<"Ring", "ring"> {
let summary = "An attribute specifying a polynomial ring.";
let description = [{
@@ -104,9 +160,9 @@ def Polynomial_RingAttr : Polynomial_Attr<"Ring", "ring"> {
`x**1024 - 1`.
```mlir
- #poly_mod = #polynomial.polynomial<-1 + x**1024>
+ #poly_mod = #polynomial.int_polynomial<-1 + x**1024>
#ring = #polynomial.ring<coefficientType=i32,
- coefficientModulus=4294967291,
+ coefficientModulus=4294967291:i32,
polynomialModulus=#poly_mod>
%0 = ... : polynomial.polynomial<#ring>
@@ -123,19 +179,24 @@ def Polynomial_RingAttr : Polynomial_Attr<"Ring", "ring"> {
let parameters = (ins
"Type": $coefficientType,
OptionalParameter<"::mlir::IntegerAttr">: $coefficientModulus,
- OptionalParameter<"::mlir::polynomial::PolynomialAttr">: $polynomialModulus,
+ OptionalParameter<"::mlir::polynomial::IntPolynomialAttr">: $polynomialModulus,
OptionalParameter<"::mlir::IntegerAttr">: $primitiveRoot
);
-
+ let assemblyFormat = "`<` struct(params) `>`";
let builders = [
- AttrBuilder<
+ AttrBuilderWithInferredContext<
(ins "::mlir::Type":$coefficientTy,
- "::mlir::IntegerAttr":$coefficientModulusAttr,
- "::mlir::polynomial::PolynomialAttr":$polynomialModulusAttr), [{
- return $_get($_ctxt, coefficientTy, coefficientModulusAttr, polynomialModulusAttr, nullptr);
- }]>
+ CArg<"::mlir::IntegerAttr", "nullptr"> :$coefficientModulusAttr,
+ CArg<"::mlir::polynomial::IntPolynomialAttr", "nullptr"> :$polynomialModulusAttr,
+ CArg<"::mlir::IntegerAttr", "nullptr"> :$primitiveRootAttr), [{
+ return $_get(
+ coefficientTy.getContext(),
+ coefficientTy,
+ coefficientModulusAttr,
+ polynomialModulusAttr,
+ primitiveRootAttr);
+ }]>,
];
- let hasCustomAssemblyFormat = 1;
}
class Polynomial_Type<string name, string typeMnemonic>
@@ -149,7 +210,7 @@ def Polynomial_PolynomialType : Polynomial_Type<"Polynomial", "polynomial"> {
A type for polynomials in a polynomial quotient ring.
}];
let parameters = (ins Polynomial_RingAttr:$ring);
- let assemblyFormat = "`<` $ring `>`";
+ let assemblyFormat = "`<` struct(params) `>`";
}
def PolynomialLike: TypeOrContainer<Polynomial_PolynomialType, "polynomial-like">;
@@ -187,13 +248,14 @@ def Polynomial_AddOp : Polynomial_BinaryOp<"add", [Commutative]> {
```mlir
// add two polynomials modulo x^1024 - 1
- #poly = #polynomial.polynomial<x**1024 - 1>
- #ring = #polynomial.ring<coefficientType=i32, coefficientModulus=65536, polynomialModulus=#poly>
- %0 = polynomial.constant #polynomial.polynomial<1 + x**2> : !polynomial.polynomial<#ring>
- %1 = polynomial.constant #polynomial.polynomial<x**5 - x + 1> : !polynomial.polynomial<#ring>
+ #poly = #polynomial.int_polynomial<x**1024 - 1>
+ #ring = #polynomial.ring<coefficientType=i32, coefficientModulus=65536:i32, polynomialModulus=#poly>
+ %0 = polynomial.constant #polynomial.int_polynomial<1 + x**2> : !polynomial.polynomial<#ring>
+ %1 = polynomial.constant #polynomial.int_polynomial<x**5 - x + 1> : !polynomial.polynomial<#ring>
%2 = polynomial.add %0, %1 : !polynomial.polynomial<#ring>
```
}];
+ let hasFolder = 1;
}
def Polynomial_SubOp : Polynomial_BinaryOp<"sub"> {
@@ -211,13 +273,14 @@ def Polynomial_SubOp : Polynomial_BinaryOp<"sub"> {
```mlir
// subtract two polynomials modulo x^1024 - 1
- #poly = #polynomial.polynomial<x**1024 - 1>
- #ring = #polynomial.ring<coefficientType=i32, coefficientModulus=65536, polynomialModulus=#poly>
- %0 = polynomial.constant #polynomial.polynomial<1 + x**2> : !polynomial.polynomial<#ring>
- %1 = polynomial.constant #polynomial.polynomial<x**5 - x + 1> : !polynomial.polynomial<#ring>
+ #poly = #polynomial.int_polynomial<x**1024 - 1>
+ #ring = #polynomial.ring<coefficientType=i32, coefficientModulus=65536:i32, polynomialModulus=#poly>
+ %0 = polynomial.constant #polynomial.int_polynomial<1 + x**2> : !polynomial.polynomial<#ring>
+ %1 = polynomial.constant #polynomial.int_polynomial<x**5 - x + 1> : !polynomial.polynomial<#ring>
%2 = polynomial.sub %0, ...
[truncated]
``````````
</details>
https://github.com/llvm/llvm-project/pull/91655
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