[Mlir-commits] [mlir] cb5d1b5 - Revert #95218 and #94953 (#95244)

llvmlistbot at llvm.org llvmlistbot at llvm.org
Wed Jun 12 06:55:53 PDT 2024


Author: Maksim Levental
Date: 2024-06-12T08:55:48-05:00
New Revision: cb5d1b52ad2b34698a5023c50da4f59c70e05539

URL: https://github.com/llvm/llvm-project/commit/cb5d1b52ad2b34698a5023c50da4f59c70e05539
DIFF: https://github.com/llvm/llvm-project/commit/cb5d1b52ad2b34698a5023c50da4f59c70e05539.diff

LOG: Revert #95218 and #94953 (#95244)

Added: 
    mlir/include/mlir/Analysis/Presburger/MPInt.h
    mlir/include/mlir/Analysis/Presburger/SlowMPInt.h
    mlir/lib/Analysis/Presburger/MPInt.cpp
    mlir/lib/Analysis/Presburger/SlowMPInt.cpp
    mlir/unittests/Analysis/Presburger/MPIntTest.cpp

Modified: 
    llvm/lib/Support/CMakeLists.txt
    llvm/unittests/ADT/CMakeLists.txt
    mlir/include/mlir/Analysis/Presburger/Barvinok.h
    mlir/include/mlir/Analysis/Presburger/Fraction.h
    mlir/include/mlir/Analysis/Presburger/IntegerRelation.h
    mlir/include/mlir/Analysis/Presburger/LinearTransform.h
    mlir/include/mlir/Analysis/Presburger/Matrix.h
    mlir/include/mlir/Analysis/Presburger/PWMAFunction.h
    mlir/include/mlir/Analysis/Presburger/PresburgerRelation.h
    mlir/include/mlir/Analysis/Presburger/Simplex.h
    mlir/include/mlir/Analysis/Presburger/Utils.h
    mlir/include/mlir/Support/LLVM.h
    mlir/lib/Analysis/FlatLinearValueConstraints.cpp
    mlir/lib/Analysis/Presburger/Barvinok.cpp
    mlir/lib/Analysis/Presburger/CMakeLists.txt
    mlir/lib/Analysis/Presburger/IntegerRelation.cpp
    mlir/lib/Analysis/Presburger/LinearTransform.cpp
    mlir/lib/Analysis/Presburger/Matrix.cpp
    mlir/lib/Analysis/Presburger/PWMAFunction.cpp
    mlir/lib/Analysis/Presburger/PresburgerRelation.cpp
    mlir/lib/Analysis/Presburger/Simplex.cpp
    mlir/lib/Analysis/Presburger/Utils.cpp
    mlir/unittests/Analysis/Presburger/CMakeLists.txt
    mlir/unittests/Analysis/Presburger/FractionTest.cpp
    mlir/unittests/Analysis/Presburger/IntegerPolyhedronTest.cpp
    mlir/unittests/Analysis/Presburger/LinearTransformTest.cpp
    mlir/unittests/Analysis/Presburger/MatrixTest.cpp
    mlir/unittests/Analysis/Presburger/SimplexTest.cpp
    mlir/unittests/Analysis/Presburger/Utils.h
    mlir/unittests/Analysis/Presburger/UtilsTest.cpp

Removed: 
    llvm/include/llvm/ADT/DynamicAPInt.h
    llvm/include/llvm/ADT/SlowDynamicAPInt.h
    llvm/lib/Support/DynamicAPInt.cpp
    llvm/lib/Support/SlowDynamicAPInt.cpp
    llvm/unittests/ADT/DynamicAPIntTest.cpp


################################################################################
diff  --git a/llvm/include/llvm/ADT/DynamicAPInt.h b/llvm/include/llvm/ADT/DynamicAPInt.h
deleted file mode 100644
index 78a0372e09c49..0000000000000
--- a/llvm/include/llvm/ADT/DynamicAPInt.h
+++ /dev/null
@@ -1,640 +0,0 @@
-//===- DynamicAPInt.h - DynamicAPInt Class ----------------------*- C++ -*-===//
-//
-// 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
-//
-//===----------------------------------------------------------------------===//
-//
-// This is a simple class to represent arbitrary precision signed integers.
-// Unlike APInt, one does not have to specify a fixed maximum size, and the
-// integer can take on any arbitrary values. This is optimized for small-values
-// by providing fast-paths for the cases when the value stored fits in 64-bits.
-//
-//===----------------------------------------------------------------------===//
-
-#ifndef LLVM_ADT_DYNAMICAPINT_H
-#define LLVM_ADT_DYNAMICAPINT_H
-
-#include "llvm/ADT/SlowDynamicAPInt.h"
-#include "llvm/Support/MathExtras.h"
-#include "llvm/Support/raw_ostream.h"
-#include <numeric>
-
-namespace llvm {
-/// This class provides support for dynamic arbitrary-precision arithmetic.
-///
-/// Unlike APInt, this extends the precision as necessary to prevent overflows
-/// and supports operations between objects with 
diff ering internal precisions.
-///
-/// This is optimized for small-values by providing fast-paths for the cases
-/// when the value stored fits in 64-bits. We annotate all fastpaths by using
-/// the LLVM_LIKELY/LLVM_UNLIKELY annotations. Removing these would result in
-/// a 1.2x performance slowdown.
-///
-/// We always_inline all operations; removing these results in a 1.5x
-/// performance slowdown.
-///
-/// When HoldsLarge is true, a SlowMPInt is held in the union. If it is false,
-/// the int64_t is held. Using std::variant instead would lead to significantly
-/// worse performance.
-class DynamicAPInt {
-  union {
-    int64_t ValSmall;
-    detail::SlowDynamicAPInt ValLarge;
-  };
-  unsigned HoldsLarge;
-
-  LLVM_ATTRIBUTE_ALWAYS_INLINE void initSmall(int64_t O) {
-    if (LLVM_UNLIKELY(isLarge()))
-      ValLarge.detail::SlowDynamicAPInt::~SlowDynamicAPInt();
-    ValSmall = O;
-    HoldsLarge = false;
-  }
-  LLVM_ATTRIBUTE_ALWAYS_INLINE void
-  initLarge(const detail::SlowDynamicAPInt &O) {
-    if (LLVM_LIKELY(isSmall())) {
-      // The data in memory could be in an arbitrary state, not necessarily
-      // corresponding to any valid state of ValLarge; we cannot call any member
-      // functions, e.g. the assignment operator on it, as they may access the
-      // invalid internal state. We instead construct a new object using
-      // placement new.
-      new (&ValLarge) detail::SlowDynamicAPInt(O);
-    } else {
-      // In this case, we need to use the assignment operator, because if we use
-      // placement-new as above we would lose track of allocated memory
-      // and leak it.
-      ValLarge = O;
-    }
-    HoldsLarge = true;
-  }
-
-  LLVM_ATTRIBUTE_ALWAYS_INLINE explicit DynamicAPInt(
-      const detail::SlowDynamicAPInt &Val)
-      : ValLarge(Val), HoldsLarge(true) {}
-  LLVM_ATTRIBUTE_ALWAYS_INLINE bool isSmall() const { return !HoldsLarge; }
-  LLVM_ATTRIBUTE_ALWAYS_INLINE bool isLarge() const { return HoldsLarge; }
-  /// Get the stored value. For getSmall/Large,
-  /// the stored value should be small/large.
-  LLVM_ATTRIBUTE_ALWAYS_INLINE int64_t getSmall() const {
-    assert(isSmall() &&
-           "getSmall should only be called when the value stored is small!");
-    return ValSmall;
-  }
-  LLVM_ATTRIBUTE_ALWAYS_INLINE int64_t &getSmall() {
-    assert(isSmall() &&
-           "getSmall should only be called when the value stored is small!");
-    return ValSmall;
-  }
-  LLVM_ATTRIBUTE_ALWAYS_INLINE const detail::SlowDynamicAPInt &
-  getLarge() const {
-    assert(isLarge() &&
-           "getLarge should only be called when the value stored is large!");
-    return ValLarge;
-  }
-  LLVM_ATTRIBUTE_ALWAYS_INLINE detail::SlowDynamicAPInt &getLarge() {
-    assert(isLarge() &&
-           "getLarge should only be called when the value stored is large!");
-    return ValLarge;
-  }
-  explicit operator detail::SlowDynamicAPInt() const {
-    if (isSmall())
-      return detail::SlowDynamicAPInt(getSmall());
-    return getLarge();
-  }
-
-public:
-  LLVM_ATTRIBUTE_ALWAYS_INLINE explicit DynamicAPInt(int64_t Val)
-      : ValSmall(Val), HoldsLarge(false) {}
-  LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt() : DynamicAPInt(0) {}
-  LLVM_ATTRIBUTE_ALWAYS_INLINE ~DynamicAPInt() {
-    if (LLVM_UNLIKELY(isLarge()))
-      ValLarge.detail::SlowDynamicAPInt::~SlowDynamicAPInt();
-  }
-  LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt(const DynamicAPInt &O)
-      : ValSmall(O.ValSmall), HoldsLarge(false) {
-    if (LLVM_UNLIKELY(O.isLarge()))
-      initLarge(O.ValLarge);
-  }
-  LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &operator=(const DynamicAPInt &O) {
-    if (LLVM_LIKELY(O.isSmall())) {
-      initSmall(O.ValSmall);
-      return *this;
-    }
-    initLarge(O.ValLarge);
-    return *this;
-  }
-  LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &operator=(int X) {
-    initSmall(X);
-    return *this;
-  }
-  LLVM_ATTRIBUTE_ALWAYS_INLINE explicit operator int64_t() const {
-    if (isSmall())
-      return getSmall();
-    return static_cast<int64_t>(getLarge());
-  }
-
-  bool operator==(const DynamicAPInt &O) const;
-  bool operator!=(const DynamicAPInt &O) const;
-  bool operator>(const DynamicAPInt &O) const;
-  bool operator<(const DynamicAPInt &O) const;
-  bool operator<=(const DynamicAPInt &O) const;
-  bool operator>=(const DynamicAPInt &O) const;
-  DynamicAPInt operator+(const DynamicAPInt &O) const;
-  DynamicAPInt operator-(const DynamicAPInt &O) const;
-  DynamicAPInt operator*(const DynamicAPInt &O) const;
-  DynamicAPInt operator/(const DynamicAPInt &O) const;
-  DynamicAPInt operator%(const DynamicAPInt &O) const;
-  DynamicAPInt &operator+=(const DynamicAPInt &O);
-  DynamicAPInt &operator-=(const DynamicAPInt &O);
-  DynamicAPInt &operator*=(const DynamicAPInt &O);
-  DynamicAPInt &operator/=(const DynamicAPInt &O);
-  DynamicAPInt &operator%=(const DynamicAPInt &O);
-  DynamicAPInt operator-() const;
-  DynamicAPInt &operator++();
-  DynamicAPInt &operator--();
-
-  // Divide by a number that is known to be positive.
-  // This is slightly more efficient because it saves an overflow check.
-  DynamicAPInt divByPositive(const DynamicAPInt &O) const;
-  DynamicAPInt &divByPositiveInPlace(const DynamicAPInt &O);
-
-  friend DynamicAPInt abs(const DynamicAPInt &X);
-  friend DynamicAPInt ceilDiv(const DynamicAPInt &LHS, const DynamicAPInt &RHS);
-  friend DynamicAPInt floorDiv(const DynamicAPInt &LHS,
-                               const DynamicAPInt &RHS);
-  // The operands must be non-negative for gcd.
-  friend DynamicAPInt gcd(const DynamicAPInt &A, const DynamicAPInt &B);
-  friend DynamicAPInt lcm(const DynamicAPInt &A, const DynamicAPInt &B);
-  friend DynamicAPInt mod(const DynamicAPInt &LHS, const DynamicAPInt &RHS);
-
-  /// ---------------------------------------------------------------------------
-  /// Convenience operator overloads for int64_t.
-  /// ---------------------------------------------------------------------------
-  friend DynamicAPInt &operator+=(DynamicAPInt &A, int64_t B);
-  friend DynamicAPInt &operator-=(DynamicAPInt &A, int64_t B);
-  friend DynamicAPInt &operator*=(DynamicAPInt &A, int64_t B);
-  friend DynamicAPInt &operator/=(DynamicAPInt &A, int64_t B);
-  friend DynamicAPInt &operator%=(DynamicAPInt &A, int64_t B);
-
-  friend bool operator==(const DynamicAPInt &A, int64_t B);
-  friend bool operator!=(const DynamicAPInt &A, int64_t B);
-  friend bool operator>(const DynamicAPInt &A, int64_t B);
-  friend bool operator<(const DynamicAPInt &A, int64_t B);
-  friend bool operator<=(const DynamicAPInt &A, int64_t B);
-  friend bool operator>=(const DynamicAPInt &A, int64_t B);
-  friend DynamicAPInt operator+(const DynamicAPInt &A, int64_t B);
-  friend DynamicAPInt operator-(const DynamicAPInt &A, int64_t B);
-  friend DynamicAPInt operator*(const DynamicAPInt &A, int64_t B);
-  friend DynamicAPInt operator/(const DynamicAPInt &A, int64_t B);
-  friend DynamicAPInt operator%(const DynamicAPInt &A, int64_t B);
-
-  friend bool operator==(int64_t A, const DynamicAPInt &B);
-  friend bool operator!=(int64_t A, const DynamicAPInt &B);
-  friend bool operator>(int64_t A, const DynamicAPInt &B);
-  friend bool operator<(int64_t A, const DynamicAPInt &B);
-  friend bool operator<=(int64_t A, const DynamicAPInt &B);
-  friend bool operator>=(int64_t A, const DynamicAPInt &B);
-  friend DynamicAPInt operator+(int64_t A, const DynamicAPInt &B);
-  friend DynamicAPInt operator-(int64_t A, const DynamicAPInt &B);
-  friend DynamicAPInt operator*(int64_t A, const DynamicAPInt &B);
-  friend DynamicAPInt operator/(int64_t A, const DynamicAPInt &B);
-  friend DynamicAPInt operator%(int64_t A, const DynamicAPInt &B);
-
-  friend hash_code hash_value(const DynamicAPInt &x); // NOLINT
-
-#if !defined(NDEBUG) || defined(LLVM_ENABLE_DUMP)
-  raw_ostream &print(raw_ostream &OS) const;
-  LLVM_DUMP_METHOD void dump() const;
-#endif
-};
-
-#if !defined(NDEBUG) || defined(LLVM_ENABLE_DUMP)
-inline raw_ostream &operator<<(raw_ostream &OS, const DynamicAPInt &X) {
-  X.print(OS);
-  return OS;
-}
-#endif
-
-/// Redeclarations of friend declaration above to
-/// make it discoverable by lookups.
-hash_code hash_value(const DynamicAPInt &X); // NOLINT
-
-/// This just calls through to the operator int64_t, but it's useful when a
-/// function pointer is required. (Although this is marked inline, it is still
-/// possible to obtain and use a function pointer to this.)
-static inline int64_t int64fromDynamicAPInt(const DynamicAPInt &X) {
-  return int64_t(X);
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt dynamicAPIntFromInt64(int64_t X) {
-  return DynamicAPInt(X);
-}
-
-// The RHS is always expected to be positive, and the result
-/// is always non-negative.
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt mod(const DynamicAPInt &LHS,
-                                              const DynamicAPInt &RHS);
-
-namespace detail {
-// Division overflows only when trying to negate the minimal signed value.
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool divWouldOverflow(int64_t X, int64_t Y) {
-  return X == std::numeric_limits<int64_t>::min() && Y == -1;
-}
-} // namespace detail
-
-/// We define the operations here in the header to facilitate inlining.
-
-/// ---------------------------------------------------------------------------
-/// Comparison operators.
-/// ---------------------------------------------------------------------------
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool
-DynamicAPInt::operator==(const DynamicAPInt &O) const {
-  if (LLVM_LIKELY(isSmall() && O.isSmall()))
-    return getSmall() == O.getSmall();
-  return detail::SlowDynamicAPInt(*this) == detail::SlowDynamicAPInt(O);
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool
-DynamicAPInt::operator!=(const DynamicAPInt &O) const {
-  if (LLVM_LIKELY(isSmall() && O.isSmall()))
-    return getSmall() != O.getSmall();
-  return detail::SlowDynamicAPInt(*this) != detail::SlowDynamicAPInt(O);
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool
-DynamicAPInt::operator>(const DynamicAPInt &O) const {
-  if (LLVM_LIKELY(isSmall() && O.isSmall()))
-    return getSmall() > O.getSmall();
-  return detail::SlowDynamicAPInt(*this) > detail::SlowDynamicAPInt(O);
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool
-DynamicAPInt::operator<(const DynamicAPInt &O) const {
-  if (LLVM_LIKELY(isSmall() && O.isSmall()))
-    return getSmall() < O.getSmall();
-  return detail::SlowDynamicAPInt(*this) < detail::SlowDynamicAPInt(O);
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool
-DynamicAPInt::operator<=(const DynamicAPInt &O) const {
-  if (LLVM_LIKELY(isSmall() && O.isSmall()))
-    return getSmall() <= O.getSmall();
-  return detail::SlowDynamicAPInt(*this) <= detail::SlowDynamicAPInt(O);
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool
-DynamicAPInt::operator>=(const DynamicAPInt &O) const {
-  if (LLVM_LIKELY(isSmall() && O.isSmall()))
-    return getSmall() >= O.getSmall();
-  return detail::SlowDynamicAPInt(*this) >= detail::SlowDynamicAPInt(O);
-}
-
-/// ---------------------------------------------------------------------------
-/// Arithmetic operators.
-/// ---------------------------------------------------------------------------
-
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt
-DynamicAPInt::operator+(const DynamicAPInt &O) const {
-  if (LLVM_LIKELY(isSmall() && O.isSmall())) {
-    DynamicAPInt Result;
-    bool Overflow = AddOverflow(getSmall(), O.getSmall(), Result.getSmall());
-    if (LLVM_LIKELY(!Overflow))
-      return Result;
-    return DynamicAPInt(detail::SlowDynamicAPInt(*this) +
-                        detail::SlowDynamicAPInt(O));
-  }
-  return DynamicAPInt(detail::SlowDynamicAPInt(*this) +
-                      detail::SlowDynamicAPInt(O));
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt
-DynamicAPInt::operator-(const DynamicAPInt &O) const {
-  if (LLVM_LIKELY(isSmall() && O.isSmall())) {
-    DynamicAPInt Result;
-    bool Overflow = SubOverflow(getSmall(), O.getSmall(), Result.getSmall());
-    if (LLVM_LIKELY(!Overflow))
-      return Result;
-    return DynamicAPInt(detail::SlowDynamicAPInt(*this) -
-                        detail::SlowDynamicAPInt(O));
-  }
-  return DynamicAPInt(detail::SlowDynamicAPInt(*this) -
-                      detail::SlowDynamicAPInt(O));
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt
-DynamicAPInt::operator*(const DynamicAPInt &O) const {
-  if (LLVM_LIKELY(isSmall() && O.isSmall())) {
-    DynamicAPInt Result;
-    bool Overflow = MulOverflow(getSmall(), O.getSmall(), Result.getSmall());
-    if (LLVM_LIKELY(!Overflow))
-      return Result;
-    return DynamicAPInt(detail::SlowDynamicAPInt(*this) *
-                        detail::SlowDynamicAPInt(O));
-  }
-  return DynamicAPInt(detail::SlowDynamicAPInt(*this) *
-                      detail::SlowDynamicAPInt(O));
-}
-
-// Division overflows only occur when negating the minimal possible value.
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt
-DynamicAPInt::divByPositive(const DynamicAPInt &O) const {
-  assert(O > 0);
-  if (LLVM_LIKELY(isSmall() && O.isSmall()))
-    return DynamicAPInt(getSmall() / O.getSmall());
-  return DynamicAPInt(detail::SlowDynamicAPInt(*this) /
-                      detail::SlowDynamicAPInt(O));
-}
-
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt
-DynamicAPInt::operator/(const DynamicAPInt &O) const {
-  if (LLVM_LIKELY(isSmall() && O.isSmall())) {
-    // Division overflows only occur when negating the minimal possible value.
-    if (LLVM_UNLIKELY(detail::divWouldOverflow(getSmall(), O.getSmall())))
-      return -*this;
-    return DynamicAPInt(getSmall() / O.getSmall());
-  }
-  return DynamicAPInt(detail::SlowDynamicAPInt(*this) /
-                      detail::SlowDynamicAPInt(O));
-}
-
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt abs(const DynamicAPInt &X) {
-  return DynamicAPInt(X >= 0 ? X : -X);
-}
-// Division overflows only occur when negating the minimal possible value.
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt ceilDiv(const DynamicAPInt &LHS,
-                                                  const DynamicAPInt &RHS) {
-  if (LLVM_LIKELY(LHS.isSmall() && RHS.isSmall())) {
-    if (LLVM_UNLIKELY(detail::divWouldOverflow(LHS.getSmall(), RHS.getSmall())))
-      return -LHS;
-    return DynamicAPInt(divideCeilSigned(LHS.getSmall(), RHS.getSmall()));
-  }
-  return DynamicAPInt(
-      ceilDiv(detail::SlowDynamicAPInt(LHS), detail::SlowDynamicAPInt(RHS)));
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt floorDiv(const DynamicAPInt &LHS,
-                                                   const DynamicAPInt &RHS) {
-  if (LLVM_LIKELY(LHS.isSmall() && RHS.isSmall())) {
-    if (LLVM_UNLIKELY(detail::divWouldOverflow(LHS.getSmall(), RHS.getSmall())))
-      return -LHS;
-    return DynamicAPInt(divideFloorSigned(LHS.getSmall(), RHS.getSmall()));
-  }
-  return DynamicAPInt(
-      floorDiv(detail::SlowDynamicAPInt(LHS), detail::SlowDynamicAPInt(RHS)));
-}
-// The RHS is always expected to be positive, and the result
-/// is always non-negative.
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt mod(const DynamicAPInt &LHS,
-                                              const DynamicAPInt &RHS) {
-  if (LLVM_LIKELY(LHS.isSmall() && RHS.isSmall()))
-    return DynamicAPInt(mod(LHS.getSmall(), RHS.getSmall()));
-  return DynamicAPInt(
-      mod(detail::SlowDynamicAPInt(LHS), detail::SlowDynamicAPInt(RHS)));
-}
-
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt gcd(const DynamicAPInt &A,
-                                              const DynamicAPInt &B) {
-  assert(A >= 0 && B >= 0 && "operands must be non-negative!");
-  if (LLVM_LIKELY(A.isSmall() && B.isSmall()))
-    return DynamicAPInt(std::gcd(A.getSmall(), B.getSmall()));
-  return DynamicAPInt(
-      gcd(detail::SlowDynamicAPInt(A), detail::SlowDynamicAPInt(B)));
-}
-
-/// Returns the least common multiple of A and B.
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt lcm(const DynamicAPInt &A,
-                                              const DynamicAPInt &B) {
-  DynamicAPInt X = abs(A);
-  DynamicAPInt Y = abs(B);
-  return (X * Y) / gcd(X, Y);
-}
-
-/// This operation cannot overflow.
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt
-DynamicAPInt::operator%(const DynamicAPInt &O) const {
-  if (LLVM_LIKELY(isSmall() && O.isSmall()))
-    return DynamicAPInt(getSmall() % O.getSmall());
-  return DynamicAPInt(detail::SlowDynamicAPInt(*this) %
-                      detail::SlowDynamicAPInt(O));
-}
-
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt DynamicAPInt::operator-() const {
-  if (LLVM_LIKELY(isSmall())) {
-    if (LLVM_LIKELY(getSmall() != std::numeric_limits<int64_t>::min()))
-      return DynamicAPInt(-getSmall());
-    return DynamicAPInt(-detail::SlowDynamicAPInt(*this));
-  }
-  return DynamicAPInt(-detail::SlowDynamicAPInt(*this));
-}
-
-/// ---------------------------------------------------------------------------
-/// Assignment operators, preincrement, predecrement.
-/// ---------------------------------------------------------------------------
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &
-DynamicAPInt::operator+=(const DynamicAPInt &O) {
-  if (LLVM_LIKELY(isSmall() && O.isSmall())) {
-    int64_t Result = getSmall();
-    bool Overflow = AddOverflow(getSmall(), O.getSmall(), Result);
-    if (LLVM_LIKELY(!Overflow)) {
-      getSmall() = Result;
-      return *this;
-    }
-    // Note: this return is not strictly required but
-    // removing it leads to a performance regression.
-    return *this = DynamicAPInt(detail::SlowDynamicAPInt(*this) +
-                                detail::SlowDynamicAPInt(O));
-  }
-  return *this = DynamicAPInt(detail::SlowDynamicAPInt(*this) +
-                              detail::SlowDynamicAPInt(O));
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &
-DynamicAPInt::operator-=(const DynamicAPInt &O) {
-  if (LLVM_LIKELY(isSmall() && O.isSmall())) {
-    int64_t Result = getSmall();
-    bool Overflow = SubOverflow(getSmall(), O.getSmall(), Result);
-    if (LLVM_LIKELY(!Overflow)) {
-      getSmall() = Result;
-      return *this;
-    }
-    // Note: this return is not strictly required but
-    // removing it leads to a performance regression.
-    return *this = DynamicAPInt(detail::SlowDynamicAPInt(*this) -
-                                detail::SlowDynamicAPInt(O));
-  }
-  return *this = DynamicAPInt(detail::SlowDynamicAPInt(*this) -
-                              detail::SlowDynamicAPInt(O));
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &
-DynamicAPInt::operator*=(const DynamicAPInt &O) {
-  if (LLVM_LIKELY(isSmall() && O.isSmall())) {
-    int64_t Result = getSmall();
-    bool Overflow = MulOverflow(getSmall(), O.getSmall(), Result);
-    if (LLVM_LIKELY(!Overflow)) {
-      getSmall() = Result;
-      return *this;
-    }
-    // Note: this return is not strictly required but
-    // removing it leads to a performance regression.
-    return *this = DynamicAPInt(detail::SlowDynamicAPInt(*this) *
-                                detail::SlowDynamicAPInt(O));
-  }
-  return *this = DynamicAPInt(detail::SlowDynamicAPInt(*this) *
-                              detail::SlowDynamicAPInt(O));
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &
-DynamicAPInt::operator/=(const DynamicAPInt &O) {
-  if (LLVM_LIKELY(isSmall() && O.isSmall())) {
-    // Division overflows only occur when negating the minimal possible value.
-    if (LLVM_UNLIKELY(detail::divWouldOverflow(getSmall(), O.getSmall())))
-      return *this = -*this;
-    getSmall() /= O.getSmall();
-    return *this;
-  }
-  return *this = DynamicAPInt(detail::SlowDynamicAPInt(*this) /
-                              detail::SlowDynamicAPInt(O));
-}
-
-// Division overflows only occur when the divisor is -1.
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &
-DynamicAPInt::divByPositiveInPlace(const DynamicAPInt &O) {
-  assert(O > 0);
-  if (LLVM_LIKELY(isSmall() && O.isSmall())) {
-    getSmall() /= O.getSmall();
-    return *this;
-  }
-  return *this = DynamicAPInt(detail::SlowDynamicAPInt(*this) /
-                              detail::SlowDynamicAPInt(O));
-}
-
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &
-DynamicAPInt::operator%=(const DynamicAPInt &O) {
-  return *this = *this % O;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &DynamicAPInt::operator++() {
-  return *this += 1;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &DynamicAPInt::operator--() {
-  return *this -= 1;
-}
-
-/// ----------------------------------------------------------------------------
-/// Convenience operator overloads for int64_t.
-/// ----------------------------------------------------------------------------
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &operator+=(DynamicAPInt &A,
-                                                      int64_t B) {
-  return A = A + B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &operator-=(DynamicAPInt &A,
-                                                      int64_t B) {
-  return A = A - B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &operator*=(DynamicAPInt &A,
-                                                      int64_t B) {
-  return A = A * B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &operator/=(DynamicAPInt &A,
-                                                      int64_t B) {
-  return A = A / B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt &operator%=(DynamicAPInt &A,
-                                                      int64_t B) {
-  return A = A % B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt operator+(const DynamicAPInt &A,
-                                                    int64_t B) {
-  return A + DynamicAPInt(B);
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt operator-(const DynamicAPInt &A,
-                                                    int64_t B) {
-  return A - DynamicAPInt(B);
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt operator*(const DynamicAPInt &A,
-                                                    int64_t B) {
-  return A * DynamicAPInt(B);
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt operator/(const DynamicAPInt &A,
-                                                    int64_t B) {
-  return A / DynamicAPInt(B);
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt operator%(const DynamicAPInt &A,
-                                                    int64_t B) {
-  return A % DynamicAPInt(B);
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt operator+(int64_t A,
-                                                    const DynamicAPInt &B) {
-  return DynamicAPInt(A) + B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt operator-(int64_t A,
-                                                    const DynamicAPInt &B) {
-  return DynamicAPInt(A) - B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt operator*(int64_t A,
-                                                    const DynamicAPInt &B) {
-  return DynamicAPInt(A) * B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt operator/(int64_t A,
-                                                    const DynamicAPInt &B) {
-  return DynamicAPInt(A) / B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE DynamicAPInt operator%(int64_t A,
-                                                    const DynamicAPInt &B) {
-  return DynamicAPInt(A) % B;
-}
-
-/// We provide special implementations of the comparison operators rather than
-/// calling through as above, as this would result in a 1.2x slowdown.
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator==(const DynamicAPInt &A, int64_t B) {
-  if (LLVM_LIKELY(A.isSmall()))
-    return A.getSmall() == B;
-  return A.getLarge() == B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator!=(const DynamicAPInt &A, int64_t B) {
-  if (LLVM_LIKELY(A.isSmall()))
-    return A.getSmall() != B;
-  return A.getLarge() != B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator>(const DynamicAPInt &A, int64_t B) {
-  if (LLVM_LIKELY(A.isSmall()))
-    return A.getSmall() > B;
-  return A.getLarge() > B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator<(const DynamicAPInt &A, int64_t B) {
-  if (LLVM_LIKELY(A.isSmall()))
-    return A.getSmall() < B;
-  return A.getLarge() < B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator<=(const DynamicAPInt &A, int64_t B) {
-  if (LLVM_LIKELY(A.isSmall()))
-    return A.getSmall() <= B;
-  return A.getLarge() <= B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator>=(const DynamicAPInt &A, int64_t B) {
-  if (LLVM_LIKELY(A.isSmall()))
-    return A.getSmall() >= B;
-  return A.getLarge() >= B;
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator==(int64_t A, const DynamicAPInt &B) {
-  if (LLVM_LIKELY(B.isSmall()))
-    return A == B.getSmall();
-  return A == B.getLarge();
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator!=(int64_t A, const DynamicAPInt &B) {
-  if (LLVM_LIKELY(B.isSmall()))
-    return A != B.getSmall();
-  return A != B.getLarge();
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator>(int64_t A, const DynamicAPInt &B) {
-  if (LLVM_LIKELY(B.isSmall()))
-    return A > B.getSmall();
-  return A > B.getLarge();
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator<(int64_t A, const DynamicAPInt &B) {
-  if (LLVM_LIKELY(B.isSmall()))
-    return A < B.getSmall();
-  return A < B.getLarge();
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator<=(int64_t A, const DynamicAPInt &B) {
-  if (LLVM_LIKELY(B.isSmall()))
-    return A <= B.getSmall();
-  return A <= B.getLarge();
-}
-LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator>=(int64_t A, const DynamicAPInt &B) {
-  if (LLVM_LIKELY(B.isSmall()))
-    return A >= B.getSmall();
-  return A >= B.getLarge();
-}
-} // namespace llvm
-
-#endif // LLVM_ADT_DYNAMICAPINT_H

diff  --git a/llvm/include/llvm/ADT/SlowDynamicAPInt.h b/llvm/include/llvm/ADT/SlowDynamicAPInt.h
deleted file mode 100644
index 009deab6c6c92..0000000000000
--- a/llvm/include/llvm/ADT/SlowDynamicAPInt.h
+++ /dev/null
@@ -1,140 +0,0 @@
-//===- SlowDynamicAPInt.h - SlowDynamicAPInt Class --------------*- C++ -*-===//
-//
-// 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
-//
-//===----------------------------------------------------------------------===//
-//
-// This is a simple class to represent arbitrary precision signed integers.
-// Unlike APInt, one does not have to specify a fixed maximum size, and the
-// integer can take on any arbitrary values.
-//
-// This class is to be used as a fallback slow path for the DynamicAPInt class,
-// and is not intended to be used directly.
-//
-//===----------------------------------------------------------------------===//
-
-#ifndef LLVM_ADT_SLOWDYNAMICAPINT_H
-#define LLVM_ADT_SLOWDYNAMICAPINT_H
-
-#include "llvm/ADT/APInt.h"
-#include "llvm/Support/raw_ostream.h"
-
-namespace llvm::detail {
-/// A simple class providing dynamic arbitrary-precision arithmetic. Internally,
-/// it stores an APInt, whose width is doubled whenever an overflow occurs at a
-/// certain width. The default constructor sets the initial width to 64.
-/// SlowDynamicAPInt is primarily intended to be used as a slow fallback path
-/// for the upcoming DynamicAPInt class.
-class SlowDynamicAPInt {
-  APInt Val;
-
-public:
-  explicit SlowDynamicAPInt(int64_t Val);
-  SlowDynamicAPInt();
-  explicit SlowDynamicAPInt(const APInt &Val);
-  SlowDynamicAPInt &operator=(int64_t Val);
-  explicit operator int64_t() const;
-  SlowDynamicAPInt operator-() const;
-  bool operator==(const SlowDynamicAPInt &O) const;
-  bool operator!=(const SlowDynamicAPInt &O) const;
-  bool operator>(const SlowDynamicAPInt &O) const;
-  bool operator<(const SlowDynamicAPInt &O) const;
-  bool operator<=(const SlowDynamicAPInt &O) const;
-  bool operator>=(const SlowDynamicAPInt &O) const;
-  SlowDynamicAPInt operator+(const SlowDynamicAPInt &O) const;
-  SlowDynamicAPInt operator-(const SlowDynamicAPInt &O) const;
-  SlowDynamicAPInt operator*(const SlowDynamicAPInt &O) const;
-  SlowDynamicAPInt operator/(const SlowDynamicAPInt &O) const;
-  SlowDynamicAPInt operator%(const SlowDynamicAPInt &O) const;
-  SlowDynamicAPInt &operator+=(const SlowDynamicAPInt &O);
-  SlowDynamicAPInt &operator-=(const SlowDynamicAPInt &O);
-  SlowDynamicAPInt &operator*=(const SlowDynamicAPInt &O);
-  SlowDynamicAPInt &operator/=(const SlowDynamicAPInt &O);
-  SlowDynamicAPInt &operator%=(const SlowDynamicAPInt &O);
-
-  SlowDynamicAPInt &operator++();
-  SlowDynamicAPInt &operator--();
-
-  friend SlowDynamicAPInt abs(const SlowDynamicAPInt &X);
-  friend SlowDynamicAPInt ceilDiv(const SlowDynamicAPInt &LHS,
-                                  const SlowDynamicAPInt &RHS);
-  friend SlowDynamicAPInt floorDiv(const SlowDynamicAPInt &LHS,
-                                   const SlowDynamicAPInt &RHS);
-  /// The operands must be non-negative for gcd.
-  friend SlowDynamicAPInt gcd(const SlowDynamicAPInt &A,
-                              const SlowDynamicAPInt &B);
-
-  /// Overload to compute a hash_code for a SlowDynamicAPInt value.
-  friend hash_code hash_value(const SlowDynamicAPInt &X); // NOLINT
-
-  unsigned getBitWidth() const { return Val.getBitWidth(); }
-
-#if !defined(NDEBUG) || defined(LLVM_ENABLE_DUMP)
-  void print(raw_ostream &OS) const;
-  LLVM_DUMP_METHOD void dump() const;
-#endif
-};
-
-#if !defined(NDEBUG) || defined(LLVM_ENABLE_DUMP)
-inline raw_ostream &operator<<(raw_ostream &OS, const SlowDynamicAPInt &X) {
-  X.print(OS);
-  return OS;
-}
-#endif
-
-/// Returns the remainder of dividing LHS by RHS.
-///
-/// The RHS is always expected to be positive, and the result
-/// is always non-negative.
-SlowDynamicAPInt mod(const SlowDynamicAPInt &LHS, const SlowDynamicAPInt &RHS);
-
-/// Returns the least common multiple of A and B.
-SlowDynamicAPInt lcm(const SlowDynamicAPInt &A, const SlowDynamicAPInt &B);
-
-/// Redeclarations of friend declarations above to
-/// make it discoverable by lookups.
-SlowDynamicAPInt abs(const SlowDynamicAPInt &X);
-SlowDynamicAPInt ceilDiv(const SlowDynamicAPInt &LHS,
-                         const SlowDynamicAPInt &RHS);
-SlowDynamicAPInt floorDiv(const SlowDynamicAPInt &LHS,
-                          const SlowDynamicAPInt &RHS);
-SlowDynamicAPInt gcd(const SlowDynamicAPInt &A, const SlowDynamicAPInt &B);
-hash_code hash_value(const SlowDynamicAPInt &X); // NOLINT
-
-/// ---------------------------------------------------------------------------
-/// Convenience operator overloads for int64_t.
-/// ---------------------------------------------------------------------------
-SlowDynamicAPInt &operator+=(SlowDynamicAPInt &A, int64_t B);
-SlowDynamicAPInt &operator-=(SlowDynamicAPInt &A, int64_t B);
-SlowDynamicAPInt &operator*=(SlowDynamicAPInt &A, int64_t B);
-SlowDynamicAPInt &operator/=(SlowDynamicAPInt &A, int64_t B);
-SlowDynamicAPInt &operator%=(SlowDynamicAPInt &A, int64_t B);
-
-bool operator==(const SlowDynamicAPInt &A, int64_t B);
-bool operator!=(const SlowDynamicAPInt &A, int64_t B);
-bool operator>(const SlowDynamicAPInt &A, int64_t B);
-bool operator<(const SlowDynamicAPInt &A, int64_t B);
-bool operator<=(const SlowDynamicAPInt &A, int64_t B);
-bool operator>=(const SlowDynamicAPInt &A, int64_t B);
-SlowDynamicAPInt operator+(const SlowDynamicAPInt &A, int64_t B);
-SlowDynamicAPInt operator-(const SlowDynamicAPInt &A, int64_t B);
-SlowDynamicAPInt operator*(const SlowDynamicAPInt &A, int64_t B);
-SlowDynamicAPInt operator/(const SlowDynamicAPInt &A, int64_t B);
-SlowDynamicAPInt operator%(const SlowDynamicAPInt &A, int64_t B);
-
-bool operator==(int64_t A, const SlowDynamicAPInt &B);
-bool operator!=(int64_t A, const SlowDynamicAPInt &B);
-bool operator>(int64_t A, const SlowDynamicAPInt &B);
-bool operator<(int64_t A, const SlowDynamicAPInt &B);
-bool operator<=(int64_t A, const SlowDynamicAPInt &B);
-bool operator>=(int64_t A, const SlowDynamicAPInt &B);
-SlowDynamicAPInt operator+(int64_t A, const SlowDynamicAPInt &B);
-SlowDynamicAPInt operator-(int64_t A, const SlowDynamicAPInt &B);
-SlowDynamicAPInt operator*(int64_t A, const SlowDynamicAPInt &B);
-SlowDynamicAPInt operator/(int64_t A, const SlowDynamicAPInt &B);
-SlowDynamicAPInt operator%(int64_t A, const SlowDynamicAPInt &B);
-} // namespace llvm::detail
-
-#endif // LLVM_ADT_SLOWDYNAMICAPINT_H

diff  --git a/llvm/lib/Support/CMakeLists.txt b/llvm/lib/Support/CMakeLists.txt
index c7f8ac325a97a..5df36f811efe9 100644
--- a/llvm/lib/Support/CMakeLists.txt
+++ b/llvm/lib/Support/CMakeLists.txt
@@ -170,7 +170,6 @@ add_llvm_component_library(LLVMSupport
   DivisionByConstantInfo.cpp
   DAGDeltaAlgorithm.cpp
   DJB.cpp
-  DynamicAPInt.cpp
   ELFAttributeParser.cpp
   ELFAttributes.cpp
   Error.cpp
@@ -224,7 +223,6 @@ add_llvm_component_library(LLVMSupport
   SHA1.cpp
   SHA256.cpp
   Signposts.cpp
-  SlowDynamicAPInt.cpp
   SmallPtrSet.cpp
   SmallVector.cpp
   SourceMgr.cpp

diff  --git a/llvm/lib/Support/DynamicAPInt.cpp b/llvm/lib/Support/DynamicAPInt.cpp
deleted file mode 100644
index 6f7eecca36db0..0000000000000
--- a/llvm/lib/Support/DynamicAPInt.cpp
+++ /dev/null
@@ -1,29 +0,0 @@
-//===- DynamicAPInt.cpp - DynamicAPInt Implementation -----------*- C++ -*-===//
-//
-// 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
-//
-//===----------------------------------------------------------------------===//
-#include "llvm/ADT/DynamicAPInt.h"
-#include "llvm/ADT/Hashing.h"
-#include "llvm/Support/Debug.h"
-#include "llvm/Support/raw_ostream.h"
-
-using namespace llvm;
-
-hash_code llvm::hash_value(const DynamicAPInt &X) {
-  if (X.isSmall())
-    return llvm::hash_value(X.getSmall());
-  return detail::hash_value(X.getLarge());
-}
-
-#if !defined(NDEBUG) || defined(LLVM_ENABLE_DUMP)
-raw_ostream &DynamicAPInt::print(raw_ostream &OS) const {
-  if (isSmall())
-    return OS << ValSmall;
-  return OS << ValLarge;
-}
-
-void DynamicAPInt::dump() const { print(dbgs()); }
-#endif

diff  --git a/llvm/lib/Support/SlowDynamicAPInt.cpp b/llvm/lib/Support/SlowDynamicAPInt.cpp
deleted file mode 100644
index 5d88cc53d17ba..0000000000000
--- a/llvm/lib/Support/SlowDynamicAPInt.cpp
+++ /dev/null
@@ -1,288 +0,0 @@
-//===- SlowDynamicAPInt.cpp - SlowDynamicAPInt Implementation -------------===//
-//
-// 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
-//
-//===----------------------------------------------------------------------===//
-
-#include "llvm/ADT/SlowDynamicAPInt.h"
-#include "llvm/ADT/Hashing.h"
-#include "llvm/Support/Debug.h"
-#include "llvm/Support/raw_ostream.h"
-
-using namespace llvm;
-using namespace detail;
-
-SlowDynamicAPInt::SlowDynamicAPInt(int64_t Val)
-    : Val(64, Val, /*isSigned=*/true) {}
-SlowDynamicAPInt::SlowDynamicAPInt() : SlowDynamicAPInt(0) {}
-SlowDynamicAPInt::SlowDynamicAPInt(const APInt &Val) : Val(Val) {}
-SlowDynamicAPInt &SlowDynamicAPInt::operator=(int64_t Val) {
-  return *this = SlowDynamicAPInt(Val);
-}
-SlowDynamicAPInt::operator int64_t() const { return Val.getSExtValue(); }
-
-hash_code detail::hash_value(const SlowDynamicAPInt &X) {
-  return hash_value(X.Val);
-}
-
-/// ---------------------------------------------------------------------------
-/// Convenience operator overloads for int64_t.
-/// ---------------------------------------------------------------------------
-SlowDynamicAPInt &detail::operator+=(SlowDynamicAPInt &A, int64_t B) {
-  return A += SlowDynamicAPInt(B);
-}
-SlowDynamicAPInt &detail::operator-=(SlowDynamicAPInt &A, int64_t B) {
-  return A -= SlowDynamicAPInt(B);
-}
-SlowDynamicAPInt &detail::operator*=(SlowDynamicAPInt &A, int64_t B) {
-  return A *= SlowDynamicAPInt(B);
-}
-SlowDynamicAPInt &detail::operator/=(SlowDynamicAPInt &A, int64_t B) {
-  return A /= SlowDynamicAPInt(B);
-}
-SlowDynamicAPInt &detail::operator%=(SlowDynamicAPInt &A, int64_t B) {
-  return A %= SlowDynamicAPInt(B);
-}
-
-bool detail::operator==(const SlowDynamicAPInt &A, int64_t B) {
-  return A == SlowDynamicAPInt(B);
-}
-bool detail::operator!=(const SlowDynamicAPInt &A, int64_t B) {
-  return A != SlowDynamicAPInt(B);
-}
-bool detail::operator>(const SlowDynamicAPInt &A, int64_t B) {
-  return A > SlowDynamicAPInt(B);
-}
-bool detail::operator<(const SlowDynamicAPInt &A, int64_t B) {
-  return A < SlowDynamicAPInt(B);
-}
-bool detail::operator<=(const SlowDynamicAPInt &A, int64_t B) {
-  return A <= SlowDynamicAPInt(B);
-}
-bool detail::operator>=(const SlowDynamicAPInt &A, int64_t B) {
-  return A >= SlowDynamicAPInt(B);
-}
-SlowDynamicAPInt detail::operator+(const SlowDynamicAPInt &A, int64_t B) {
-  return A + SlowDynamicAPInt(B);
-}
-SlowDynamicAPInt detail::operator-(const SlowDynamicAPInt &A, int64_t B) {
-  return A - SlowDynamicAPInt(B);
-}
-SlowDynamicAPInt detail::operator*(const SlowDynamicAPInt &A, int64_t B) {
-  return A * SlowDynamicAPInt(B);
-}
-SlowDynamicAPInt detail::operator/(const SlowDynamicAPInt &A, int64_t B) {
-  return A / SlowDynamicAPInt(B);
-}
-SlowDynamicAPInt detail::operator%(const SlowDynamicAPInt &A, int64_t B) {
-  return A % SlowDynamicAPInt(B);
-}
-
-bool detail::operator==(int64_t A, const SlowDynamicAPInt &B) {
-  return SlowDynamicAPInt(A) == B;
-}
-bool detail::operator!=(int64_t A, const SlowDynamicAPInt &B) {
-  return SlowDynamicAPInt(A) != B;
-}
-bool detail::operator>(int64_t A, const SlowDynamicAPInt &B) {
-  return SlowDynamicAPInt(A) > B;
-}
-bool detail::operator<(int64_t A, const SlowDynamicAPInt &B) {
-  return SlowDynamicAPInt(A) < B;
-}
-bool detail::operator<=(int64_t A, const SlowDynamicAPInt &B) {
-  return SlowDynamicAPInt(A) <= B;
-}
-bool detail::operator>=(int64_t A, const SlowDynamicAPInt &B) {
-  return SlowDynamicAPInt(A) >= B;
-}
-SlowDynamicAPInt detail::operator+(int64_t A, const SlowDynamicAPInt &B) {
-  return SlowDynamicAPInt(A) + B;
-}
-SlowDynamicAPInt detail::operator-(int64_t A, const SlowDynamicAPInt &B) {
-  return SlowDynamicAPInt(A) - B;
-}
-SlowDynamicAPInt detail::operator*(int64_t A, const SlowDynamicAPInt &B) {
-  return SlowDynamicAPInt(A) * B;
-}
-SlowDynamicAPInt detail::operator/(int64_t A, const SlowDynamicAPInt &B) {
-  return SlowDynamicAPInt(A) / B;
-}
-SlowDynamicAPInt detail::operator%(int64_t A, const SlowDynamicAPInt &B) {
-  return SlowDynamicAPInt(A) % B;
-}
-
-static unsigned getMaxWidth(const APInt &A, const APInt &B) {
-  return std::max(A.getBitWidth(), B.getBitWidth());
-}
-
-/// ---------------------------------------------------------------------------
-/// Comparison operators.
-/// ---------------------------------------------------------------------------
-
-// TODO: consider instead making APInt::compare available and using that.
-bool SlowDynamicAPInt::operator==(const SlowDynamicAPInt &O) const {
-  unsigned Width = getMaxWidth(Val, O.Val);
-  return Val.sext(Width) == O.Val.sext(Width);
-}
-bool SlowDynamicAPInt::operator!=(const SlowDynamicAPInt &O) const {
-  unsigned Width = getMaxWidth(Val, O.Val);
-  return Val.sext(Width) != O.Val.sext(Width);
-}
-bool SlowDynamicAPInt::operator>(const SlowDynamicAPInt &O) const {
-  unsigned Width = getMaxWidth(Val, O.Val);
-  return Val.sext(Width).sgt(O.Val.sext(Width));
-}
-bool SlowDynamicAPInt::operator<(const SlowDynamicAPInt &O) const {
-  unsigned Width = getMaxWidth(Val, O.Val);
-  return Val.sext(Width).slt(O.Val.sext(Width));
-}
-bool SlowDynamicAPInt::operator<=(const SlowDynamicAPInt &O) const {
-  unsigned Width = getMaxWidth(Val, O.Val);
-  return Val.sext(Width).sle(O.Val.sext(Width));
-}
-bool SlowDynamicAPInt::operator>=(const SlowDynamicAPInt &O) const {
-  unsigned Width = getMaxWidth(Val, O.Val);
-  return Val.sext(Width).sge(O.Val.sext(Width));
-}
-
-/// ---------------------------------------------------------------------------
-/// Arithmetic operators.
-/// ---------------------------------------------------------------------------
-
-/// Bring a and b to have the same width and then call op(a, b, overflow).
-/// If the overflow bit becomes set, resize a and b to double the width and
-/// call op(a, b, overflow), returning its result. The operation with double
-/// widths should not also overflow.
-APInt runOpWithExpandOnOverflow(
-    const APInt &A, const APInt &B,
-    function_ref<APInt(const APInt &, const APInt &, bool &Overflow)> Op) {
-  bool Overflow;
-  unsigned Width = getMaxWidth(A, B);
-  APInt Ret = Op(A.sext(Width), B.sext(Width), Overflow);
-  if (!Overflow)
-    return Ret;
-
-  Width *= 2;
-  Ret = Op(A.sext(Width), B.sext(Width), Overflow);
-  assert(!Overflow && "double width should be sufficient to avoid overflow!");
-  return Ret;
-}
-
-SlowDynamicAPInt SlowDynamicAPInt::operator+(const SlowDynamicAPInt &O) const {
-  return SlowDynamicAPInt(
-      runOpWithExpandOnOverflow(Val, O.Val, std::mem_fn(&APInt::sadd_ov)));
-}
-SlowDynamicAPInt SlowDynamicAPInt::operator-(const SlowDynamicAPInt &O) const {
-  return SlowDynamicAPInt(
-      runOpWithExpandOnOverflow(Val, O.Val, std::mem_fn(&APInt::ssub_ov)));
-}
-SlowDynamicAPInt SlowDynamicAPInt::operator*(const SlowDynamicAPInt &O) const {
-  return SlowDynamicAPInt(
-      runOpWithExpandOnOverflow(Val, O.Val, std::mem_fn(&APInt::smul_ov)));
-}
-SlowDynamicAPInt SlowDynamicAPInt::operator/(const SlowDynamicAPInt &O) const {
-  return SlowDynamicAPInt(
-      runOpWithExpandOnOverflow(Val, O.Val, std::mem_fn(&APInt::sdiv_ov)));
-}
-SlowDynamicAPInt detail::abs(const SlowDynamicAPInt &X) {
-  return X >= 0 ? X : -X;
-}
-SlowDynamicAPInt detail::ceilDiv(const SlowDynamicAPInt &LHS,
-                                 const SlowDynamicAPInt &RHS) {
-  if (RHS == -1)
-    return -LHS;
-  unsigned Width = getMaxWidth(LHS.Val, RHS.Val);
-  return SlowDynamicAPInt(APIntOps::RoundingSDiv(
-      LHS.Val.sext(Width), RHS.Val.sext(Width), APInt::Rounding::UP));
-}
-SlowDynamicAPInt detail::floorDiv(const SlowDynamicAPInt &LHS,
-                                  const SlowDynamicAPInt &RHS) {
-  if (RHS == -1)
-    return -LHS;
-  unsigned Width = getMaxWidth(LHS.Val, RHS.Val);
-  return SlowDynamicAPInt(APIntOps::RoundingSDiv(
-      LHS.Val.sext(Width), RHS.Val.sext(Width), APInt::Rounding::DOWN));
-}
-// The RHS is always expected to be positive, and the result
-/// is always non-negative.
-SlowDynamicAPInt detail::mod(const SlowDynamicAPInt &LHS,
-                             const SlowDynamicAPInt &RHS) {
-  assert(RHS >= 1 && "mod is only supported for positive divisors!");
-  return LHS % RHS < 0 ? LHS % RHS + RHS : LHS % RHS;
-}
-
-SlowDynamicAPInt detail::gcd(const SlowDynamicAPInt &A,
-                             const SlowDynamicAPInt &B) {
-  assert(A >= 0 && B >= 0 && "operands must be non-negative!");
-  unsigned Width = getMaxWidth(A.Val, B.Val);
-  return SlowDynamicAPInt(
-      APIntOps::GreatestCommonDivisor(A.Val.sext(Width), B.Val.sext(Width)));
-}
-
-/// Returns the least common multiple of A and B.
-SlowDynamicAPInt detail::lcm(const SlowDynamicAPInt &A,
-                             const SlowDynamicAPInt &B) {
-  SlowDynamicAPInt X = abs(A);
-  SlowDynamicAPInt Y = abs(B);
-  return (X * Y) / gcd(X, Y);
-}
-
-/// This operation cannot overflow.
-SlowDynamicAPInt SlowDynamicAPInt::operator%(const SlowDynamicAPInt &O) const {
-  unsigned Width = std::max(Val.getBitWidth(), O.Val.getBitWidth());
-  return SlowDynamicAPInt(Val.sext(Width).srem(O.Val.sext(Width)));
-}
-
-SlowDynamicAPInt SlowDynamicAPInt::operator-() const {
-  if (Val.isMinSignedValue()) {
-    /// Overflow only occurs when the value is the minimum possible value.
-    APInt Ret = Val.sext(2 * Val.getBitWidth());
-    return SlowDynamicAPInt(-Ret);
-  }
-  return SlowDynamicAPInt(-Val);
-}
-
-/// ---------------------------------------------------------------------------
-/// Assignment operators, preincrement, predecrement.
-/// ---------------------------------------------------------------------------
-SlowDynamicAPInt &SlowDynamicAPInt::operator+=(const SlowDynamicAPInt &O) {
-  *this = *this + O;
-  return *this;
-}
-SlowDynamicAPInt &SlowDynamicAPInt::operator-=(const SlowDynamicAPInt &O) {
-  *this = *this - O;
-  return *this;
-}
-SlowDynamicAPInt &SlowDynamicAPInt::operator*=(const SlowDynamicAPInt &O) {
-  *this = *this * O;
-  return *this;
-}
-SlowDynamicAPInt &SlowDynamicAPInt::operator/=(const SlowDynamicAPInt &O) {
-  *this = *this / O;
-  return *this;
-}
-SlowDynamicAPInt &SlowDynamicAPInt::operator%=(const SlowDynamicAPInt &O) {
-  *this = *this % O;
-  return *this;
-}
-SlowDynamicAPInt &SlowDynamicAPInt::operator++() {
-  *this += 1;
-  return *this;
-}
-
-SlowDynamicAPInt &SlowDynamicAPInt::operator--() {
-  *this -= 1;
-  return *this;
-}
-
-/// ---------------------------------------------------------------------------
-/// Printing.
-/// ---------------------------------------------------------------------------
-#if !defined(NDEBUG) || defined(LLVM_ENABLE_DUMP)
-void SlowDynamicAPInt::print(raw_ostream &OS) const { OS << Val; }
-
-void SlowDynamicAPInt::dump() const { print(dbgs()); }
-#endif

diff  --git a/llvm/unittests/ADT/CMakeLists.txt b/llvm/unittests/ADT/CMakeLists.txt
index f48d840a10595..85c140e63fecd 100644
--- a/llvm/unittests/ADT/CMakeLists.txt
+++ b/llvm/unittests/ADT/CMakeLists.txt
@@ -25,7 +25,6 @@ add_llvm_unittest(ADTTests
   DenseSetTest.cpp
   DepthFirstIteratorTest.cpp
   DirectedGraphTest.cpp
-  DynamicAPIntTest.cpp
   EditDistanceTest.cpp
   EnumeratedArrayTest.cpp
   EquivalenceClassesTest.cpp

diff  --git a/llvm/unittests/ADT/DynamicAPIntTest.cpp b/llvm/unittests/ADT/DynamicAPIntTest.cpp
deleted file mode 100644
index 932b750608b3e..0000000000000
--- a/llvm/unittests/ADT/DynamicAPIntTest.cpp
+++ /dev/null
@@ -1,200 +0,0 @@
-//===- MPIntTest.cpp - Tests for MPInt ------------------------------------===//
-//
-// 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
-//
-//===----------------------------------------------------------------------===//
-
-#include "llvm/ADT/DynamicAPInt.h"
-#include "llvm/ADT/SlowDynamicAPInt.h"
-#include "gtest/gtest.h"
-
-using namespace llvm;
-
-namespace {
-// googletest boilerplate to run the same tests with both MPInt and SlowMPInt.
-template <typename> class IntTest : public testing::Test {};
-using TypeList = testing::Types<DynamicAPInt, detail::SlowDynamicAPInt>;
-
-// This is for pretty-printing the test name with the name of the class in use.
-class TypeNames {
-public:
-  template <typename T>
-  static std::string GetName(int) { // NOLINT; gtest mandates this name.
-    if (std::is_same<T, DynamicAPInt>())
-      return "MPInt";
-    if (std::is_same<T, detail::SlowDynamicAPInt>())
-      return "SlowMPInt";
-    llvm_unreachable("Unknown class!");
-  }
-};
-TYPED_TEST_SUITE(IntTest, TypeList, TypeNames);
-
-TYPED_TEST(IntTest, ops) {
-  TypeParam Two(2), Five(5), Seven(7), Ten(10);
-  EXPECT_EQ(Five + Five, Ten);
-  EXPECT_EQ(Five * Five, 2 * Ten + Five);
-  EXPECT_EQ(Five * Five, 3 * Ten - Five);
-  EXPECT_EQ(Five * Two, Ten);
-  EXPECT_EQ(Five / Two, Two);
-  EXPECT_EQ(Five % Two, Two / Two);
-
-  EXPECT_EQ(-Ten % Seven, -10 % 7);
-  EXPECT_EQ(Ten % -Seven, 10 % -7);
-  EXPECT_EQ(-Ten % -Seven, -10 % -7);
-  EXPECT_EQ(Ten % Seven, 10 % 7);
-
-  EXPECT_EQ(-Ten / Seven, -10 / 7);
-  EXPECT_EQ(Ten / -Seven, 10 / -7);
-  EXPECT_EQ(-Ten / -Seven, -10 / -7);
-  EXPECT_EQ(Ten / Seven, 10 / 7);
-
-  TypeParam X = Ten;
-  X += Five;
-  EXPECT_EQ(X, 15);
-  X *= Two;
-  EXPECT_EQ(X, 30);
-  X /= Seven;
-  EXPECT_EQ(X, 4);
-  X -= Two * 10;
-  EXPECT_EQ(X, -16);
-  X *= 2 * Two;
-  EXPECT_EQ(X, -64);
-  X /= Two / -2;
-  EXPECT_EQ(X, 64);
-
-  EXPECT_LE(Ten, Ten);
-  EXPECT_GE(Ten, Ten);
-  EXPECT_EQ(Ten, Ten);
-  EXPECT_FALSE(Ten != Ten);
-  EXPECT_FALSE(Ten < Ten);
-  EXPECT_FALSE(Ten > Ten);
-  EXPECT_LT(Five, Ten);
-  EXPECT_GT(Ten, Five);
-}
-
-TYPED_TEST(IntTest, ops64Overloads) {
-  TypeParam Two(2), Five(5), Seven(7), Ten(10);
-  EXPECT_EQ(Five + 5, Ten);
-  EXPECT_EQ(Five + 5, 5 + Five);
-  EXPECT_EQ(Five * 5, 2 * Ten + 5);
-  EXPECT_EQ(Five * 5, 3 * Ten - 5);
-  EXPECT_EQ(Five * Two, Ten);
-  EXPECT_EQ(5 / Two, 2);
-  EXPECT_EQ(Five / 2, 2);
-  EXPECT_EQ(2 % Two, 0);
-  EXPECT_EQ(2 - Two, 0);
-  EXPECT_EQ(2 % Two, Two % 2);
-
-  TypeParam X = Ten;
-  X += 5;
-  EXPECT_EQ(X, 15);
-  X *= 2;
-  EXPECT_EQ(X, 30);
-  X /= 7;
-  EXPECT_EQ(X, 4);
-  X -= 20;
-  EXPECT_EQ(X, -16);
-  X *= 4;
-  EXPECT_EQ(X, -64);
-  X /= -1;
-  EXPECT_EQ(X, 64);
-
-  EXPECT_LE(Ten, 10);
-  EXPECT_GE(Ten, 10);
-  EXPECT_EQ(Ten, 10);
-  EXPECT_FALSE(Ten != 10);
-  EXPECT_FALSE(Ten < 10);
-  EXPECT_FALSE(Ten > 10);
-  EXPECT_LT(Five, 10);
-  EXPECT_GT(Ten, 5);
-
-  EXPECT_LE(10, Ten);
-  EXPECT_GE(10, Ten);
-  EXPECT_EQ(10, Ten);
-  EXPECT_FALSE(10 != Ten);
-  EXPECT_FALSE(10 < Ten);
-  EXPECT_FALSE(10 > Ten);
-  EXPECT_LT(5, Ten);
-  EXPECT_GT(10, Five);
-}
-
-TYPED_TEST(IntTest, overflows) {
-  TypeParam X(1ll << 60);
-  EXPECT_EQ((X * X - X * X * X * X) / (X * X * X), 1 - (1ll << 60));
-  TypeParam Y(1ll << 62);
-  EXPECT_EQ((Y + Y + Y + Y + Y + Y) / Y, 6);
-  EXPECT_EQ(-(2 * (-Y)), 2 * Y); // -(-2^63) overflow.
-  X *= X;
-  EXPECT_EQ(X, (Y * Y) / 16);
-  Y += Y;
-  Y += Y;
-  Y += Y;
-  Y /= 8;
-  EXPECT_EQ(Y, 1ll << 62);
-
-  TypeParam Min(std::numeric_limits<int64_t>::min());
-  TypeParam One(1);
-  EXPECT_EQ(floorDiv(Min, -One), -Min);
-  EXPECT_EQ(ceilDiv(Min, -One), -Min);
-  EXPECT_EQ(abs(Min), -Min);
-
-  TypeParam Z = Min;
-  Z /= -1;
-  EXPECT_EQ(Z, -Min);
-  TypeParam W(Min);
-  --W;
-  EXPECT_EQ(W, TypeParam(Min) - 1);
-  TypeParam U(Min);
-  U -= 1;
-  EXPECT_EQ(U, W);
-
-  TypeParam Max(std::numeric_limits<int64_t>::max());
-  TypeParam V = Max;
-  ++V;
-  EXPECT_EQ(V, Max + 1);
-  TypeParam T = Max;
-  T += 1;
-  EXPECT_EQ(T, V);
-}
-
-TYPED_TEST(IntTest, floorCeilModAbsLcmGcd) {
-  TypeParam X(1ll << 50), One(1), Two(2), Three(3);
-
-  // Run on small values and large values.
-  for (const TypeParam &Y : {X, X * X}) {
-    EXPECT_EQ(floorDiv(3 * Y, Three), Y);
-    EXPECT_EQ(ceilDiv(3 * Y, Three), Y);
-    EXPECT_EQ(floorDiv(3 * Y - 1, Three), Y - 1);
-    EXPECT_EQ(ceilDiv(3 * Y - 1, Three), Y);
-    EXPECT_EQ(floorDiv(3 * Y - 2, Three), Y - 1);
-    EXPECT_EQ(ceilDiv(3 * Y - 2, Three), Y);
-
-    EXPECT_EQ(mod(3 * Y, Three), 0);
-    EXPECT_EQ(mod(3 * Y + 1, Three), One);
-    EXPECT_EQ(mod(3 * Y + 2, Three), Two);
-
-    EXPECT_EQ(floorDiv(3 * Y, Y), 3);
-    EXPECT_EQ(ceilDiv(3 * Y, Y), 3);
-    EXPECT_EQ(floorDiv(3 * Y - 1, Y), 2);
-    EXPECT_EQ(ceilDiv(3 * Y - 1, Y), 3);
-    EXPECT_EQ(floorDiv(3 * Y - 2, Y), 2);
-    EXPECT_EQ(ceilDiv(3 * Y - 2, Y), 3);
-
-    EXPECT_EQ(mod(3 * Y, Y), 0);
-    EXPECT_EQ(mod(3 * Y + 1, Y), 1);
-    EXPECT_EQ(mod(3 * Y + 2, Y), 2);
-
-    EXPECT_EQ(abs(Y), Y);
-    EXPECT_EQ(abs(-Y), Y);
-
-    EXPECT_EQ(gcd(3 * Y, Three), Three);
-    EXPECT_EQ(lcm(Y, Three), 3 * Y);
-    EXPECT_EQ(gcd(2 * Y, 3 * Y), Y);
-    EXPECT_EQ(lcm(2 * Y, 3 * Y), 6 * Y);
-    EXPECT_EQ(gcd(15 * Y, 6 * Y), 3 * Y);
-    EXPECT_EQ(lcm(15 * Y, 6 * Y), 30 * Y);
-  }
-}
-} // namespace

diff  --git a/mlir/include/mlir/Analysis/Presburger/Barvinok.h b/mlir/include/mlir/Analysis/Presburger/Barvinok.h
index c9a1645b5e632..cd1ea3a9571ba 100644
--- a/mlir/include/mlir/Analysis/Presburger/Barvinok.h
+++ b/mlir/include/mlir/Analysis/Presburger/Barvinok.h
@@ -74,7 +74,7 @@ inline PolyhedronH defineHRep(int numVars, int numSymbols = 0) {
 /// Barvinok, A., and J. E. Pommersheim. "An algorithmic theory of lattice
 /// points in polyhedra." p. 107 If it has more rays than the dimension, return
 /// 0.
-DynamicAPInt getIndex(const ConeV &cone);
+MPInt getIndex(const ConeV &cone);
 
 /// Given a cone in H-representation, return its dual. The dual cone is in
 /// V-representation.

diff  --git a/mlir/include/mlir/Analysis/Presburger/Fraction.h b/mlir/include/mlir/Analysis/Presburger/Fraction.h
index 6be132058e6ca..f76ba3f006d07 100644
--- a/mlir/include/mlir/Analysis/Presburger/Fraction.h
+++ b/mlir/include/mlir/Analysis/Presburger/Fraction.h
@@ -14,11 +14,10 @@
 #ifndef MLIR_ANALYSIS_PRESBURGER_FRACTION_H
 #define MLIR_ANALYSIS_PRESBURGER_FRACTION_H
 
-#include "llvm/ADT/DynamicAPInt.h"
+#include "mlir/Analysis/Presburger/MPInt.h"
 
 namespace mlir {
 namespace presburger {
-using llvm::DynamicAPInt;
 
 /// A class to represent fractions. The sign of the fraction is represented
 /// in the sign of the numerator; the denominator is always positive.
@@ -30,7 +29,7 @@ struct Fraction {
   Fraction() = default;
 
   /// Construct a Fraction from a numerator and denominator.
-  Fraction(const DynamicAPInt &oNum, const DynamicAPInt &oDen = DynamicAPInt(1))
+  Fraction(const MPInt &oNum, const MPInt &oDen = MPInt(1))
       : num(oNum), den(oDen) {
     if (den < 0) {
       num = -num;
@@ -38,43 +37,32 @@ struct Fraction {
     }
   }
   /// Overloads for passing literals.
-  Fraction(const DynamicAPInt &num, int64_t den)
-      : Fraction(num, DynamicAPInt(den)) {}
-  Fraction(int64_t num, const DynamicAPInt &den = DynamicAPInt(1))
-      : Fraction(DynamicAPInt(num), den) {}
-  Fraction(int64_t num, int64_t den)
-      : Fraction(DynamicAPInt(num), DynamicAPInt(den)) {}
+  Fraction(const MPInt &num, int64_t den) : Fraction(num, MPInt(den)) {}
+  Fraction(int64_t num, const MPInt &den = MPInt(1))
+      : Fraction(MPInt(num), den) {}
+  Fraction(int64_t num, int64_t den) : Fraction(MPInt(num), MPInt(den)) {}
 
   // Return the value of the fraction as an integer. This should only be called
   // when the fraction's value is really an integer.
-  DynamicAPInt getAsInteger() const {
+  MPInt getAsInteger() const {
     assert(num % den == 0 && "Get as integer called on non-integral fraction!");
     return num / den;
   }
 
-  /// The numerator and denominator, respectively. The denominator is always
-  /// positive.
-  DynamicAPInt num{0}, den{1};
-
-#if !defined(NDEBUG) || defined(LLVM_ENABLE_DUMP)
   llvm::raw_ostream &print(llvm::raw_ostream &os) const {
     return os << "(" << num << "/" << den << ")";
   }
-#endif
-};
 
-#if !defined(NDEBUG) || defined(LLVM_ENABLE_DUMP)
-inline llvm::raw_ostream &operator<<(llvm::raw_ostream &os, const Fraction &x) {
-  x.print(os);
-  return os;
-}
-#endif
+  /// The numerator and denominator, respectively. The denominator is always
+  /// positive.
+  MPInt num{0}, den{1};
+};
 
 /// Three-way comparison between two fractions.
 /// Returns +1, 0, and -1 if the first fraction is greater than, equal to, or
 /// less than the second fraction, respectively.
 inline int compare(const Fraction &x, const Fraction &y) {
-  DynamicAPInt 
diff  = x.num * y.den - y.num * x.den;
+  MPInt 
diff  = x.num * y.den - y.num * x.den;
   if (
diff  > 0)
     return +1;
   if (
diff  < 0)
@@ -82,9 +70,9 @@ inline int compare(const Fraction &x, const Fraction &y) {
   return 0;
 }
 
-inline DynamicAPInt floor(const Fraction &f) { return floorDiv(f.num, f.den); }
+inline MPInt floor(const Fraction &f) { return floorDiv(f.num, f.den); }
 
-inline DynamicAPInt ceil(const Fraction &f) { return ceilDiv(f.num, f.den); }
+inline MPInt ceil(const Fraction &f) { return ceilDiv(f.num, f.den); }
 
 inline Fraction operator-(const Fraction &x) { return Fraction(-x.num, x.den); }
 
@@ -120,7 +108,7 @@ inline Fraction abs(const Fraction &f) {
 inline Fraction reduce(const Fraction &f) {
   if (f == Fraction(0))
     return Fraction(0, 1);
-  DynamicAPInt g = gcd(abs(f.num), abs(f.den));
+  MPInt g = gcd(abs(f.num), abs(f.den));
   return Fraction(f.num / g, f.den / g);
 }
 
@@ -141,8 +129,8 @@ inline Fraction operator-(const Fraction &x, const Fraction &y) {
 }
 
 // Find the integer nearest to a given fraction.
-inline DynamicAPInt round(const Fraction &f) {
-  DynamicAPInt rem = f.num % f.den;
+inline MPInt round(const Fraction &f) {
+  MPInt rem = f.num % f.den;
   return (f.num / f.den) + (rem > f.den / 2);
 }
 
@@ -165,6 +153,12 @@ inline Fraction &operator*=(Fraction &x, const Fraction &y) {
   x = x * y;
   return x;
 }
+
+inline llvm::raw_ostream &operator<<(llvm::raw_ostream &os, const Fraction &x) {
+  x.print(os);
+  return os;
+}
+
 } // namespace presburger
 } // namespace mlir
 

diff  --git a/mlir/include/mlir/Analysis/Presburger/IntegerRelation.h b/mlir/include/mlir/Analysis/Presburger/IntegerRelation.h
index 40e96e2583d22..163f365c623d7 100644
--- a/mlir/include/mlir/Analysis/Presburger/IntegerRelation.h
+++ b/mlir/include/mlir/Analysis/Presburger/IntegerRelation.h
@@ -20,13 +20,10 @@
 #include "mlir/Analysis/Presburger/PresburgerSpace.h"
 #include "mlir/Analysis/Presburger/Utils.h"
 #include "mlir/Support/LogicalResult.h"
-#include "llvm/ADT/DynamicAPInt.h"
 #include <optional>
 
 namespace mlir {
 namespace presburger {
-using llvm::DynamicAPInt;
-using llvm::int64fromDynamicAPInt;
 
 class IntegerRelation;
 class IntegerPolyhedron;
@@ -169,18 +166,16 @@ class IntegerRelation {
   bool isSubsetOf(const IntegerRelation &other) const;
 
   /// Returns the value at the specified equality row and column.
-  inline DynamicAPInt atEq(unsigned i, unsigned j) const {
-    return equalities(i, j);
-  }
+  inline MPInt atEq(unsigned i, unsigned j) const { return equalities(i, j); }
   /// The same, but casts to int64_t. This is unsafe and will assert-fail if the
   /// value does not fit in an int64_t.
   inline int64_t atEq64(unsigned i, unsigned j) const {
     return int64_t(equalities(i, j));
   }
-  inline DynamicAPInt &atEq(unsigned i, unsigned j) { return equalities(i, j); }
+  inline MPInt &atEq(unsigned i, unsigned j) { return equalities(i, j); }
 
   /// Returns the value at the specified inequality row and column.
-  inline DynamicAPInt atIneq(unsigned i, unsigned j) const {
+  inline MPInt atIneq(unsigned i, unsigned j) const {
     return inequalities(i, j);
   }
   /// The same, but casts to int64_t. This is unsafe and will assert-fail if the
@@ -188,9 +183,7 @@ class IntegerRelation {
   inline int64_t atIneq64(unsigned i, unsigned j) const {
     return int64_t(inequalities(i, j));
   }
-  inline DynamicAPInt &atIneq(unsigned i, unsigned j) {
-    return inequalities(i, j);
-  }
+  inline MPInt &atIneq(unsigned i, unsigned j) { return inequalities(i, j); }
 
   unsigned getNumConstraints() const {
     return getNumInequalities() + getNumEqualities();
@@ -224,10 +217,10 @@ class IntegerRelation {
     return inequalities.getNumReservedRows();
   }
 
-  inline ArrayRef<DynamicAPInt> getEquality(unsigned idx) const {
+  inline ArrayRef<MPInt> getEquality(unsigned idx) const {
     return equalities.getRow(idx);
   }
-  inline ArrayRef<DynamicAPInt> getInequality(unsigned idx) const {
+  inline ArrayRef<MPInt> getInequality(unsigned idx) const {
     return inequalities.getRow(idx);
   }
   /// The same, but casts to int64_t. This is unsafe and will assert-fail if the
@@ -304,15 +297,13 @@ class IntegerRelation {
   unsigned appendVar(VarKind kind, unsigned num = 1);
 
   /// Adds an inequality (>= 0) from the coefficients specified in `inEq`.
-  void addInequality(ArrayRef<DynamicAPInt> inEq);
+  void addInequality(ArrayRef<MPInt> inEq);
   void addInequality(ArrayRef<int64_t> inEq) {
-    addInequality(getDynamicAPIntVec(inEq));
+    addInequality(getMPIntVec(inEq));
   }
   /// Adds an equality from the coefficients specified in `eq`.
-  void addEquality(ArrayRef<DynamicAPInt> eq);
-  void addEquality(ArrayRef<int64_t> eq) {
-    addEquality(getDynamicAPIntVec(eq));
-  }
+  void addEquality(ArrayRef<MPInt> eq);
+  void addEquality(ArrayRef<int64_t> eq) { addEquality(getMPIntVec(eq)); }
 
   /// Eliminate the `posB^th` local variable, replacing every instance of it
   /// with the `posA^th` local variable. This should be used when the two
@@ -347,7 +338,7 @@ class IntegerRelation {
   /// For a generic integer sampling operation, findIntegerSample is more
   /// robust and should be preferred. Note that Domain is minimized first, then
   /// range.
-  MaybeOptimum<SmallVector<DynamicAPInt, 8>> findIntegerLexMin() const;
+  MaybeOptimum<SmallVector<MPInt, 8>> findIntegerLexMin() const;
 
   /// Swap the posA^th variable with the posB^th variable.
   virtual void swapVar(unsigned posA, unsigned posB);
@@ -357,9 +348,9 @@ class IntegerRelation {
 
   /// Sets the `values.size()` variables starting at `po`s to the specified
   /// values and removes them.
-  void setAndEliminate(unsigned pos, ArrayRef<DynamicAPInt> values);
+  void setAndEliminate(unsigned pos, ArrayRef<MPInt> values);
   void setAndEliminate(unsigned pos, ArrayRef<int64_t> values) {
-    setAndEliminate(pos, getDynamicAPIntVec(values));
+    setAndEliminate(pos, getMPIntVec(values));
   }
 
   /// Replaces the contents of this IntegerRelation with `other`.
@@ -408,26 +399,26 @@ class IntegerRelation {
   ///
   /// Returns an integer sample point if one exists, or an empty Optional
   /// otherwise. The returned value also includes values of local ids.
-  std::optional<SmallVector<DynamicAPInt, 8>> findIntegerSample() const;
+  std::optional<SmallVector<MPInt, 8>> findIntegerSample() const;
 
   /// Compute an overapproximation of the number of integer points in the
   /// relation. Symbol vars currently not supported. If the computed
   /// overapproximation is infinite, an empty optional is returned.
-  std::optional<DynamicAPInt> computeVolume() const;
+  std::optional<MPInt> computeVolume() const;
 
   /// Returns true if the given point satisfies the constraints, or false
   /// otherwise. Takes the values of all vars including locals.
-  bool containsPoint(ArrayRef<DynamicAPInt> point) const;
+  bool containsPoint(ArrayRef<MPInt> point) const;
   bool containsPoint(ArrayRef<int64_t> point) const {
-    return containsPoint(getDynamicAPIntVec(point));
+    return containsPoint(getMPIntVec(point));
   }
   /// Given the values of non-local vars, return a satisfying assignment to the
   /// local if one exists, or an empty optional otherwise.
-  std::optional<SmallVector<DynamicAPInt, 8>>
-  containsPointNoLocal(ArrayRef<DynamicAPInt> point) const;
-  std::optional<SmallVector<DynamicAPInt, 8>>
+  std::optional<SmallVector<MPInt, 8>>
+  containsPointNoLocal(ArrayRef<MPInt> point) const;
+  std::optional<SmallVector<MPInt, 8>>
   containsPointNoLocal(ArrayRef<int64_t> point) const {
-    return containsPointNoLocal(getDynamicAPIntVec(point));
+    return containsPointNoLocal(getMPIntVec(point));
   }
 
   /// Returns a `DivisonRepr` representing the division representation of local
@@ -442,16 +433,15 @@ class IntegerRelation {
   DivisionRepr getLocalReprs(std::vector<MaybeLocalRepr> *repr = nullptr) const;
 
   /// Adds a constant bound for the specified variable.
-  void addBound(BoundType type, unsigned pos, const DynamicAPInt &value);
+  void addBound(BoundType type, unsigned pos, const MPInt &value);
   void addBound(BoundType type, unsigned pos, int64_t value) {
-    addBound(type, pos, DynamicAPInt(value));
+    addBound(type, pos, MPInt(value));
   }
 
   /// Adds a constant bound for the specified expression.
-  void addBound(BoundType type, ArrayRef<DynamicAPInt> expr,
-                const DynamicAPInt &value);
+  void addBound(BoundType type, ArrayRef<MPInt> expr, const MPInt &value);
   void addBound(BoundType type, ArrayRef<int64_t> expr, int64_t value) {
-    addBound(type, getDynamicAPIntVec(expr), DynamicAPInt(value));
+    addBound(type, getMPIntVec(expr), MPInt(value));
   }
 
   /// Adds a new local variable as the floordiv of an affine function of other
@@ -459,10 +449,9 @@ class IntegerRelation {
   /// respect to a positive constant `divisor`. Two constraints are added to the
   /// system to capture equivalence with the floordiv:
   /// q = dividend floordiv c    <=>   c*q <= dividend <= c*q + c - 1.
-  void addLocalFloorDiv(ArrayRef<DynamicAPInt> dividend,
-                        const DynamicAPInt &divisor);
+  void addLocalFloorDiv(ArrayRef<MPInt> dividend, const MPInt &divisor);
   void addLocalFloorDiv(ArrayRef<int64_t> dividend, int64_t divisor) {
-    addLocalFloorDiv(getDynamicAPIntVec(dividend), DynamicAPInt(divisor));
+    addLocalFloorDiv(getMPIntVec(dividend), MPInt(divisor));
   }
 
   /// Projects out (aka eliminates) `num` variables starting at position
@@ -518,11 +507,10 @@ class IntegerRelation {
   /// equality). Ex: if the lower bound is [(s0 + s2 - 1) floordiv 32] for a
   /// system with three symbolic variables, *lb = [1, 0, 1], lbDivisor = 32. See
   /// comments at function definition for examples.
-  std::optional<DynamicAPInt> getConstantBoundOnDimSize(
-      unsigned pos, SmallVectorImpl<DynamicAPInt> *lb = nullptr,
-      DynamicAPInt *boundFloorDivisor = nullptr,
-      SmallVectorImpl<DynamicAPInt> *ub = nullptr, unsigned *minLbPos = nullptr,
-      unsigned *minUbPos = nullptr) const;
+  std::optional<MPInt> getConstantBoundOnDimSize(
+      unsigned pos, SmallVectorImpl<MPInt> *lb = nullptr,
+      MPInt *boundFloorDivisor = nullptr, SmallVectorImpl<MPInt> *ub = nullptr,
+      unsigned *minLbPos = nullptr, unsigned *minUbPos = nullptr) const;
   /// The same, but casts to int64_t. This is unsafe and will assert-fail if the
   /// value does not fit in an int64_t.
   std::optional<int64_t> getConstantBoundOnDimSize64(
@@ -530,30 +518,27 @@ class IntegerRelation {
       int64_t *boundFloorDivisor = nullptr,
       SmallVectorImpl<int64_t> *ub = nullptr, unsigned *minLbPos = nullptr,
       unsigned *minUbPos = nullptr) const {
-    SmallVector<DynamicAPInt, 8> ubDynamicAPInt, lbDynamicAPInt;
-    DynamicAPInt boundFloorDivisorDynamicAPInt;
-    std::optional<DynamicAPInt> result = getConstantBoundOnDimSize(
-        pos, &lbDynamicAPInt, &boundFloorDivisorDynamicAPInt, &ubDynamicAPInt,
-        minLbPos, minUbPos);
+    SmallVector<MPInt, 8> ubMPInt, lbMPInt;
+    MPInt boundFloorDivisorMPInt;
+    std::optional<MPInt> result = getConstantBoundOnDimSize(
+        pos, &lbMPInt, &boundFloorDivisorMPInt, &ubMPInt, minLbPos, minUbPos);
     if (lb)
-      *lb = getInt64Vec(lbDynamicAPInt);
+      *lb = getInt64Vec(lbMPInt);
     if (ub)
-      *ub = getInt64Vec(ubDynamicAPInt);
+      *ub = getInt64Vec(ubMPInt);
     if (boundFloorDivisor)
-      *boundFloorDivisor = static_cast<int64_t>(boundFloorDivisorDynamicAPInt);
-    return llvm::transformOptional(result, int64fromDynamicAPInt);
+      *boundFloorDivisor = static_cast<int64_t>(boundFloorDivisorMPInt);
+    return llvm::transformOptional(result, int64FromMPInt);
   }
 
   /// Returns the constant bound for the pos^th variable if there is one;
   /// std::nullopt otherwise.
-  std::optional<DynamicAPInt> getConstantBound(BoundType type,
-                                               unsigned pos) const;
+  std::optional<MPInt> getConstantBound(BoundType type, unsigned pos) const;
   /// The same, but casts to int64_t. This is unsafe and will assert-fail if the
   /// value does not fit in an int64_t.
   std::optional<int64_t> getConstantBound64(BoundType type,
                                             unsigned pos) const {
-    return llvm::transformOptional(getConstantBound(type, pos),
-                                   int64fromDynamicAPInt);
+    return llvm::transformOptional(getConstantBound(type, pos), int64FromMPInt);
   }
 
   /// Removes constraints that are independent of (i.e., do not have a
@@ -761,13 +746,12 @@ class IntegerRelation {
   /// Returns the constant lower bound if isLower is true, and the upper
   /// bound if isLower is false.
   template <bool isLower>
-  std::optional<DynamicAPInt> computeConstantLowerOrUpperBound(unsigned pos);
+  std::optional<MPInt> computeConstantLowerOrUpperBound(unsigned pos);
   /// The same, but casts to int64_t. This is unsafe and will assert-fail if the
   /// value does not fit in an int64_t.
   template <bool isLower>
   std::optional<int64_t> computeConstantLowerOrUpperBound64(unsigned pos) {
-    return computeConstantLowerOrUpperBound<isLower>(pos).map(
-        int64fromDynamicAPInt);
+    return computeConstantLowerOrUpperBound<isLower>(pos).map(int64FromMPInt);
   }
 
   /// Eliminates a single variable at `position` from equality and inequality

diff  --git a/mlir/include/mlir/Analysis/Presburger/LinearTransform.h b/mlir/include/mlir/Analysis/Presburger/LinearTransform.h
index eeac9f1dc3938..b5c761439f0b7 100644
--- a/mlir/include/mlir/Analysis/Presburger/LinearTransform.h
+++ b/mlir/include/mlir/Analysis/Presburger/LinearTransform.h
@@ -40,15 +40,13 @@ class LinearTransform {
 
   // The given vector is interpreted as a row vector v. Post-multiply v with
   // this transform, say T, and return vT.
-  SmallVector<DynamicAPInt, 8>
-  preMultiplyWithRow(ArrayRef<DynamicAPInt> rowVec) const {
+  SmallVector<MPInt, 8> preMultiplyWithRow(ArrayRef<MPInt> rowVec) const {
     return matrix.preMultiplyWithRow(rowVec);
   }
 
   // The given vector is interpreted as a column vector v. Pre-multiply v with
   // this transform, say T, and return Tv.
-  SmallVector<DynamicAPInt, 8>
-  postMultiplyWithColumn(ArrayRef<DynamicAPInt> colVec) const {
+  SmallVector<MPInt, 8> postMultiplyWithColumn(ArrayRef<MPInt> colVec) const {
     return matrix.postMultiplyWithColumn(colVec);
   }
 

diff  --git a/mlir/include/mlir/Analysis/Presburger/MPInt.h b/mlir/include/mlir/Analysis/Presburger/MPInt.h
new file mode 100644
index 0000000000000..f7678967190a0
--- /dev/null
+++ b/mlir/include/mlir/Analysis/Presburger/MPInt.h
@@ -0,0 +1,611 @@
+//===- MPInt.h - MLIR MPInt Class -------------------------------*- C++ -*-===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+//
+// This is a simple class to represent arbitrary precision signed integers.
+// Unlike APInt, one does not have to specify a fixed maximum size, and the
+// integer can take on any arbitrary values. This is optimized for small-values
+// by providing fast-paths for the cases when the value stored fits in 64-bits.
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef MLIR_ANALYSIS_PRESBURGER_MPINT_H
+#define MLIR_ANALYSIS_PRESBURGER_MPINT_H
+
+#include "mlir/Analysis/Presburger/SlowMPInt.h"
+#include "llvm/ADT/ArrayRef.h"
+#include "llvm/Support/MathExtras.h"
+#include "llvm/Support/raw_ostream.h"
+#include <numeric>
+
+namespace mlir {
+namespace presburger {
+using ::llvm::ArrayRef;
+using ::llvm::divideCeilSigned;
+using ::llvm::divideFloorSigned;
+using ::llvm::mod;
+
+namespace detail {
+/// If builtin intrinsics for overflow-checked arithmetic are available,
+/// use them. Otherwise, call through to LLVM's overflow-checked arithmetic
+/// functionality. Those functions also have such macro-gated uses of intrinsics
+/// but they are not always_inlined, which is important for us to achieve
+/// high-performance; calling the functions directly would result in a slowdown
+/// of 1.15x.
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool addOverflow(int64_t x, int64_t y,
+                                              int64_t &result) {
+#if __has_builtin(__builtin_add_overflow)
+  return __builtin_add_overflow(x, y, &result);
+#else
+  return llvm::AddOverflow(x, y, result);
+#endif
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool subOverflow(int64_t x, int64_t y,
+                                              int64_t &result) {
+#if __has_builtin(__builtin_sub_overflow)
+  return __builtin_sub_overflow(x, y, &result);
+#else
+  return llvm::SubOverflow(x, y, result);
+#endif
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool mulOverflow(int64_t x, int64_t y,
+                                              int64_t &result) {
+#if __has_builtin(__builtin_mul_overflow)
+  return __builtin_mul_overflow(x, y, &result);
+#else
+  return llvm::MulOverflow(x, y, result);
+#endif
+}
+} // namespace detail
+
+/// This class provides support for multi-precision arithmetic.
+///
+/// Unlike APInt, this extends the precision as necessary to prevent overflows
+/// and supports operations between objects with 
diff ering internal precisions.
+///
+/// This is optimized for small-values by providing fast-paths for the cases
+/// when the value stored fits in 64-bits. We annotate all fastpaths by using
+/// the LLVM_LIKELY/LLVM_UNLIKELY annotations. Removing these would result in
+/// a 1.2x performance slowdown.
+///
+/// We always_inline all operations; removing these results in a 1.5x
+/// performance slowdown.
+///
+/// When holdsLarge is true, a SlowMPInt is held in the union. If it is false,
+/// the int64_t is held. Using std::variant instead would lead to significantly
+/// worse performance.
+class MPInt {
+private:
+  union {
+    int64_t valSmall;
+    detail::SlowMPInt valLarge;
+  };
+  unsigned holdsLarge;
+
+  LLVM_ATTRIBUTE_ALWAYS_INLINE void initSmall(int64_t o) {
+    if (LLVM_UNLIKELY(isLarge()))
+      valLarge.detail::SlowMPInt::~SlowMPInt();
+    valSmall = o;
+    holdsLarge = false;
+  }
+  LLVM_ATTRIBUTE_ALWAYS_INLINE void initLarge(const detail::SlowMPInt &o) {
+    if (LLVM_LIKELY(isSmall())) {
+      // The data in memory could be in an arbitrary state, not necessarily
+      // corresponding to any valid state of valLarge; we cannot call any member
+      // functions, e.g. the assignment operator on it, as they may access the
+      // invalid internal state. We instead construct a new object using
+      // placement new.
+      new (&valLarge) detail::SlowMPInt(o);
+    } else {
+      // In this case, we need to use the assignment operator, because if we use
+      // placement-new as above we would lose track of allocated memory
+      // and leak it.
+      valLarge = o;
+    }
+    holdsLarge = true;
+  }
+
+  LLVM_ATTRIBUTE_ALWAYS_INLINE explicit MPInt(const detail::SlowMPInt &val)
+      : valLarge(val), holdsLarge(true) {}
+  LLVM_ATTRIBUTE_ALWAYS_INLINE bool isSmall() const { return !holdsLarge; }
+  LLVM_ATTRIBUTE_ALWAYS_INLINE bool isLarge() const { return holdsLarge; }
+  /// Get the stored value. For getSmall/Large,
+  /// the stored value should be small/large.
+  LLVM_ATTRIBUTE_ALWAYS_INLINE int64_t getSmall() const {
+    assert(isSmall() &&
+           "getSmall should only be called when the value stored is small!");
+    return valSmall;
+  }
+  LLVM_ATTRIBUTE_ALWAYS_INLINE int64_t &getSmall() {
+    assert(isSmall() &&
+           "getSmall should only be called when the value stored is small!");
+    return valSmall;
+  }
+  LLVM_ATTRIBUTE_ALWAYS_INLINE const detail::SlowMPInt &getLarge() const {
+    assert(isLarge() &&
+           "getLarge should only be called when the value stored is large!");
+    return valLarge;
+  }
+  LLVM_ATTRIBUTE_ALWAYS_INLINE detail::SlowMPInt &getLarge() {
+    assert(isLarge() &&
+           "getLarge should only be called when the value stored is large!");
+    return valLarge;
+  }
+  explicit operator detail::SlowMPInt() const {
+    if (isSmall())
+      return detail::SlowMPInt(getSmall());
+    return getLarge();
+  }
+
+public:
+  LLVM_ATTRIBUTE_ALWAYS_INLINE explicit MPInt(int64_t val)
+      : valSmall(val), holdsLarge(false) {}
+  LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt() : MPInt(0) {}
+  LLVM_ATTRIBUTE_ALWAYS_INLINE ~MPInt() {
+    if (LLVM_UNLIKELY(isLarge()))
+      valLarge.detail::SlowMPInt::~SlowMPInt();
+  }
+  LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt(const MPInt &o)
+      : valSmall(o.valSmall), holdsLarge(false) {
+    if (LLVM_UNLIKELY(o.isLarge()))
+      initLarge(o.valLarge);
+  }
+  LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &operator=(const MPInt &o) {
+    if (LLVM_LIKELY(o.isSmall())) {
+      initSmall(o.valSmall);
+      return *this;
+    }
+    initLarge(o.valLarge);
+    return *this;
+  }
+  LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &operator=(int x) {
+    initSmall(x);
+    return *this;
+  }
+  LLVM_ATTRIBUTE_ALWAYS_INLINE explicit operator int64_t() const {
+    if (isSmall())
+      return getSmall();
+    return static_cast<int64_t>(getLarge());
+  }
+
+  bool operator==(const MPInt &o) const;
+  bool operator!=(const MPInt &o) const;
+  bool operator>(const MPInt &o) const;
+  bool operator<(const MPInt &o) const;
+  bool operator<=(const MPInt &o) const;
+  bool operator>=(const MPInt &o) const;
+  MPInt operator+(const MPInt &o) const;
+  MPInt operator-(const MPInt &o) const;
+  MPInt operator*(const MPInt &o) const;
+  MPInt operator/(const MPInt &o) const;
+  MPInt operator%(const MPInt &o) const;
+  MPInt &operator+=(const MPInt &o);
+  MPInt &operator-=(const MPInt &o);
+  MPInt &operator*=(const MPInt &o);
+  MPInt &operator/=(const MPInt &o);
+  MPInt &operator%=(const MPInt &o);
+  MPInt operator-() const;
+  MPInt &operator++();
+  MPInt &operator--();
+
+  // Divide by a number that is known to be positive.
+  // This is slightly more efficient because it saves an overflow check.
+  MPInt divByPositive(const MPInt &o) const;
+  MPInt &divByPositiveInPlace(const MPInt &o);
+
+  friend MPInt abs(const MPInt &x);
+  friend MPInt gcdRange(ArrayRef<MPInt> range);
+  friend MPInt ceilDiv(const MPInt &lhs, const MPInt &rhs);
+  friend MPInt floorDiv(const MPInt &lhs, const MPInt &rhs);
+  // The operands must be non-negative for gcd.
+  friend MPInt gcd(const MPInt &a, const MPInt &b);
+  friend MPInt lcm(const MPInt &a, const MPInt &b);
+  friend MPInt mod(const MPInt &lhs, const MPInt &rhs);
+
+  llvm::raw_ostream &print(llvm::raw_ostream &os) const;
+  void dump() const;
+
+  /// ---------------------------------------------------------------------------
+  /// Convenience operator overloads for int64_t.
+  /// ---------------------------------------------------------------------------
+  friend MPInt &operator+=(MPInt &a, int64_t b);
+  friend MPInt &operator-=(MPInt &a, int64_t b);
+  friend MPInt &operator*=(MPInt &a, int64_t b);
+  friend MPInt &operator/=(MPInt &a, int64_t b);
+  friend MPInt &operator%=(MPInt &a, int64_t b);
+
+  friend bool operator==(const MPInt &a, int64_t b);
+  friend bool operator!=(const MPInt &a, int64_t b);
+  friend bool operator>(const MPInt &a, int64_t b);
+  friend bool operator<(const MPInt &a, int64_t b);
+  friend bool operator<=(const MPInt &a, int64_t b);
+  friend bool operator>=(const MPInt &a, int64_t b);
+  friend MPInt operator+(const MPInt &a, int64_t b);
+  friend MPInt operator-(const MPInt &a, int64_t b);
+  friend MPInt operator*(const MPInt &a, int64_t b);
+  friend MPInt operator/(const MPInt &a, int64_t b);
+  friend MPInt operator%(const MPInt &a, int64_t b);
+
+  friend bool operator==(int64_t a, const MPInt &b);
+  friend bool operator!=(int64_t a, const MPInt &b);
+  friend bool operator>(int64_t a, const MPInt &b);
+  friend bool operator<(int64_t a, const MPInt &b);
+  friend bool operator<=(int64_t a, const MPInt &b);
+  friend bool operator>=(int64_t a, const MPInt &b);
+  friend MPInt operator+(int64_t a, const MPInt &b);
+  friend MPInt operator-(int64_t a, const MPInt &b);
+  friend MPInt operator*(int64_t a, const MPInt &b);
+  friend MPInt operator/(int64_t a, const MPInt &b);
+  friend MPInt operator%(int64_t a, const MPInt &b);
+
+  friend llvm::hash_code hash_value(const MPInt &x); // NOLINT
+};
+
+/// Redeclarations of friend declaration above to
+/// make it discoverable by lookups.
+llvm::hash_code hash_value(const MPInt &x); // NOLINT
+
+/// This just calls through to the operator int64_t, but it's useful when a
+/// function pointer is required. (Although this is marked inline, it is still
+/// possible to obtain and use a function pointer to this.)
+static inline int64_t int64FromMPInt(const MPInt &x) { return int64_t(x); }
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt mpintFromInt64(int64_t x) {
+  return MPInt(x);
+}
+
+llvm::raw_ostream &operator<<(llvm::raw_ostream &os, const MPInt &x);
+
+// The RHS is always expected to be positive, and the result
+/// is always non-negative.
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt mod(const MPInt &lhs, const MPInt &rhs);
+
+namespace detail {
+// Division overflows only when trying to negate the minimal signed value.
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool divWouldOverflow(int64_t x, int64_t y) {
+  return x == std::numeric_limits<int64_t>::min() && y == -1;
+}
+} // namespace detail
+
+/// We define the operations here in the header to facilitate inlining.
+
+/// ---------------------------------------------------------------------------
+/// Comparison operators.
+/// ---------------------------------------------------------------------------
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool MPInt::operator==(const MPInt &o) const {
+  if (LLVM_LIKELY(isSmall() && o.isSmall()))
+    return getSmall() == o.getSmall();
+  return detail::SlowMPInt(*this) == detail::SlowMPInt(o);
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool MPInt::operator!=(const MPInt &o) const {
+  if (LLVM_LIKELY(isSmall() && o.isSmall()))
+    return getSmall() != o.getSmall();
+  return detail::SlowMPInt(*this) != detail::SlowMPInt(o);
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool MPInt::operator>(const MPInt &o) const {
+  if (LLVM_LIKELY(isSmall() && o.isSmall()))
+    return getSmall() > o.getSmall();
+  return detail::SlowMPInt(*this) > detail::SlowMPInt(o);
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool MPInt::operator<(const MPInt &o) const {
+  if (LLVM_LIKELY(isSmall() && o.isSmall()))
+    return getSmall() < o.getSmall();
+  return detail::SlowMPInt(*this) < detail::SlowMPInt(o);
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool MPInt::operator<=(const MPInt &o) const {
+  if (LLVM_LIKELY(isSmall() && o.isSmall()))
+    return getSmall() <= o.getSmall();
+  return detail::SlowMPInt(*this) <= detail::SlowMPInt(o);
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool MPInt::operator>=(const MPInt &o) const {
+  if (LLVM_LIKELY(isSmall() && o.isSmall()))
+    return getSmall() >= o.getSmall();
+  return detail::SlowMPInt(*this) >= detail::SlowMPInt(o);
+}
+
+/// ---------------------------------------------------------------------------
+/// Arithmetic operators.
+/// ---------------------------------------------------------------------------
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt MPInt::operator+(const MPInt &o) const {
+  if (LLVM_LIKELY(isSmall() && o.isSmall())) {
+    MPInt result;
+    bool overflow =
+        detail::addOverflow(getSmall(), o.getSmall(), result.getSmall());
+    if (LLVM_LIKELY(!overflow))
+      return result;
+    return MPInt(detail::SlowMPInt(*this) + detail::SlowMPInt(o));
+  }
+  return MPInt(detail::SlowMPInt(*this) + detail::SlowMPInt(o));
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt MPInt::operator-(const MPInt &o) const {
+  if (LLVM_LIKELY(isSmall() && o.isSmall())) {
+    MPInt result;
+    bool overflow =
+        detail::subOverflow(getSmall(), o.getSmall(), result.getSmall());
+    if (LLVM_LIKELY(!overflow))
+      return result;
+    return MPInt(detail::SlowMPInt(*this) - detail::SlowMPInt(o));
+  }
+  return MPInt(detail::SlowMPInt(*this) - detail::SlowMPInt(o));
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt MPInt::operator*(const MPInt &o) const {
+  if (LLVM_LIKELY(isSmall() && o.isSmall())) {
+    MPInt result;
+    bool overflow =
+        detail::mulOverflow(getSmall(), o.getSmall(), result.getSmall());
+    if (LLVM_LIKELY(!overflow))
+      return result;
+    return MPInt(detail::SlowMPInt(*this) * detail::SlowMPInt(o));
+  }
+  return MPInt(detail::SlowMPInt(*this) * detail::SlowMPInt(o));
+}
+
+// Division overflows only occur when negating the minimal possible value.
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt MPInt::divByPositive(const MPInt &o) const {
+  assert(o > 0);
+  if (LLVM_LIKELY(isSmall() && o.isSmall()))
+    return MPInt(getSmall() / o.getSmall());
+  return MPInt(detail::SlowMPInt(*this) / detail::SlowMPInt(o));
+}
+
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt MPInt::operator/(const MPInt &o) const {
+  if (LLVM_LIKELY(isSmall() && o.isSmall())) {
+    // Division overflows only occur when negating the minimal possible value.
+    if (LLVM_UNLIKELY(detail::divWouldOverflow(getSmall(), o.getSmall())))
+      return -*this;
+    return MPInt(getSmall() / o.getSmall());
+  }
+  return MPInt(detail::SlowMPInt(*this) / detail::SlowMPInt(o));
+}
+
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt abs(const MPInt &x) {
+  return MPInt(x >= 0 ? x : -x);
+}
+// Division overflows only occur when negating the minimal possible value.
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt ceilDiv(const MPInt &lhs, const MPInt &rhs) {
+  if (LLVM_LIKELY(lhs.isSmall() && rhs.isSmall())) {
+    if (LLVM_UNLIKELY(detail::divWouldOverflow(lhs.getSmall(), rhs.getSmall())))
+      return -lhs;
+    return MPInt(divideCeilSigned(lhs.getSmall(), rhs.getSmall()));
+  }
+  return MPInt(ceilDiv(detail::SlowMPInt(lhs), detail::SlowMPInt(rhs)));
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt floorDiv(const MPInt &lhs,
+                                            const MPInt &rhs) {
+  if (LLVM_LIKELY(lhs.isSmall() && rhs.isSmall())) {
+    if (LLVM_UNLIKELY(detail::divWouldOverflow(lhs.getSmall(), rhs.getSmall())))
+      return -lhs;
+    return MPInt(divideFloorSigned(lhs.getSmall(), rhs.getSmall()));
+  }
+  return MPInt(floorDiv(detail::SlowMPInt(lhs), detail::SlowMPInt(rhs)));
+}
+// The RHS is always expected to be positive, and the result
+/// is always non-negative.
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt mod(const MPInt &lhs, const MPInt &rhs) {
+  if (LLVM_LIKELY(lhs.isSmall() && rhs.isSmall()))
+    return MPInt(mod(lhs.getSmall(), rhs.getSmall()));
+  return MPInt(mod(detail::SlowMPInt(lhs), detail::SlowMPInt(rhs)));
+}
+
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt gcd(const MPInt &a, const MPInt &b) {
+  assert(a >= 0 && b >= 0 && "operands must be non-negative!");
+  if (LLVM_LIKELY(a.isSmall() && b.isSmall()))
+    return MPInt(std::gcd(a.getSmall(), b.getSmall()));
+  return MPInt(gcd(detail::SlowMPInt(a), detail::SlowMPInt(b)));
+}
+
+/// Returns the least common multiple of 'a' and 'b'.
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt lcm(const MPInt &a, const MPInt &b) {
+  MPInt x = abs(a);
+  MPInt y = abs(b);
+  return (x * y) / gcd(x, y);
+}
+
+/// This operation cannot overflow.
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt MPInt::operator%(const MPInt &o) const {
+  if (LLVM_LIKELY(isSmall() && o.isSmall()))
+    return MPInt(getSmall() % o.getSmall());
+  return MPInt(detail::SlowMPInt(*this) % detail::SlowMPInt(o));
+}
+
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt MPInt::operator-() const {
+  if (LLVM_LIKELY(isSmall())) {
+    if (LLVM_LIKELY(getSmall() != std::numeric_limits<int64_t>::min()))
+      return MPInt(-getSmall());
+    return MPInt(-detail::SlowMPInt(*this));
+  }
+  return MPInt(-detail::SlowMPInt(*this));
+}
+
+/// ---------------------------------------------------------------------------
+/// Assignment operators, preincrement, predecrement.
+/// ---------------------------------------------------------------------------
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &MPInt::operator+=(const MPInt &o) {
+  if (LLVM_LIKELY(isSmall() && o.isSmall())) {
+    int64_t result = getSmall();
+    bool overflow = detail::addOverflow(getSmall(), o.getSmall(), result);
+    if (LLVM_LIKELY(!overflow)) {
+      getSmall() = result;
+      return *this;
+    }
+    // Note: this return is not strictly required but
+    // removing it leads to a performance regression.
+    return *this = MPInt(detail::SlowMPInt(*this) + detail::SlowMPInt(o));
+  }
+  return *this = MPInt(detail::SlowMPInt(*this) + detail::SlowMPInt(o));
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &MPInt::operator-=(const MPInt &o) {
+  if (LLVM_LIKELY(isSmall() && o.isSmall())) {
+    int64_t result = getSmall();
+    bool overflow = detail::subOverflow(getSmall(), o.getSmall(), result);
+    if (LLVM_LIKELY(!overflow)) {
+      getSmall() = result;
+      return *this;
+    }
+    // Note: this return is not strictly required but
+    // removing it leads to a performance regression.
+    return *this = MPInt(detail::SlowMPInt(*this) - detail::SlowMPInt(o));
+  }
+  return *this = MPInt(detail::SlowMPInt(*this) - detail::SlowMPInt(o));
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &MPInt::operator*=(const MPInt &o) {
+  if (LLVM_LIKELY(isSmall() && o.isSmall())) {
+    int64_t result = getSmall();
+    bool overflow = detail::mulOverflow(getSmall(), o.getSmall(), result);
+    if (LLVM_LIKELY(!overflow)) {
+      getSmall() = result;
+      return *this;
+    }
+    // Note: this return is not strictly required but
+    // removing it leads to a performance regression.
+    return *this = MPInt(detail::SlowMPInt(*this) * detail::SlowMPInt(o));
+  }
+  return *this = MPInt(detail::SlowMPInt(*this) * detail::SlowMPInt(o));
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &MPInt::operator/=(const MPInt &o) {
+  if (LLVM_LIKELY(isSmall() && o.isSmall())) {
+    // Division overflows only occur when negating the minimal possible value.
+    if (LLVM_UNLIKELY(detail::divWouldOverflow(getSmall(), o.getSmall())))
+      return *this = -*this;
+    getSmall() /= o.getSmall();
+    return *this;
+  }
+  return *this = MPInt(detail::SlowMPInt(*this) / detail::SlowMPInt(o));
+}
+
+// Division overflows only occur when the divisor is -1.
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &
+MPInt::divByPositiveInPlace(const MPInt &o) {
+  assert(o > 0);
+  if (LLVM_LIKELY(isSmall() && o.isSmall())) {
+    getSmall() /= o.getSmall();
+    return *this;
+  }
+  return *this = MPInt(detail::SlowMPInt(*this) / detail::SlowMPInt(o));
+}
+
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &MPInt::operator%=(const MPInt &o) {
+  return *this = *this % o;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &MPInt::operator++() { return *this += 1; }
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &MPInt::operator--() { return *this -= 1; }
+
+/// ----------------------------------------------------------------------------
+/// Convenience operator overloads for int64_t.
+/// ----------------------------------------------------------------------------
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &operator+=(MPInt &a, int64_t b) {
+  return a = a + b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &operator-=(MPInt &a, int64_t b) {
+  return a = a - b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &operator*=(MPInt &a, int64_t b) {
+  return a = a * b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &operator/=(MPInt &a, int64_t b) {
+  return a = a / b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt &operator%=(MPInt &a, int64_t b) {
+  return a = a % b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt operator+(const MPInt &a, int64_t b) {
+  return a + MPInt(b);
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt operator-(const MPInt &a, int64_t b) {
+  return a - MPInt(b);
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt operator*(const MPInt &a, int64_t b) {
+  return a * MPInt(b);
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt operator/(const MPInt &a, int64_t b) {
+  return a / MPInt(b);
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt operator%(const MPInt &a, int64_t b) {
+  return a % MPInt(b);
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt operator+(int64_t a, const MPInt &b) {
+  return MPInt(a) + b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt operator-(int64_t a, const MPInt &b) {
+  return MPInt(a) - b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt operator*(int64_t a, const MPInt &b) {
+  return MPInt(a) * b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt operator/(int64_t a, const MPInt &b) {
+  return MPInt(a) / b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE MPInt operator%(int64_t a, const MPInt &b) {
+  return MPInt(a) % b;
+}
+
+/// We provide special implementations of the comparison operators rather than
+/// calling through as above, as this would result in a 1.2x slowdown.
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator==(const MPInt &a, int64_t b) {
+  if (LLVM_LIKELY(a.isSmall()))
+    return a.getSmall() == b;
+  return a.getLarge() == b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator!=(const MPInt &a, int64_t b) {
+  if (LLVM_LIKELY(a.isSmall()))
+    return a.getSmall() != b;
+  return a.getLarge() != b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator>(const MPInt &a, int64_t b) {
+  if (LLVM_LIKELY(a.isSmall()))
+    return a.getSmall() > b;
+  return a.getLarge() > b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator<(const MPInt &a, int64_t b) {
+  if (LLVM_LIKELY(a.isSmall()))
+    return a.getSmall() < b;
+  return a.getLarge() < b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator<=(const MPInt &a, int64_t b) {
+  if (LLVM_LIKELY(a.isSmall()))
+    return a.getSmall() <= b;
+  return a.getLarge() <= b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator>=(const MPInt &a, int64_t b) {
+  if (LLVM_LIKELY(a.isSmall()))
+    return a.getSmall() >= b;
+  return a.getLarge() >= b;
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator==(int64_t a, const MPInt &b) {
+  if (LLVM_LIKELY(b.isSmall()))
+    return a == b.getSmall();
+  return a == b.getLarge();
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator!=(int64_t a, const MPInt &b) {
+  if (LLVM_LIKELY(b.isSmall()))
+    return a != b.getSmall();
+  return a != b.getLarge();
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator>(int64_t a, const MPInt &b) {
+  if (LLVM_LIKELY(b.isSmall()))
+    return a > b.getSmall();
+  return a > b.getLarge();
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator<(int64_t a, const MPInt &b) {
+  if (LLVM_LIKELY(b.isSmall()))
+    return a < b.getSmall();
+  return a < b.getLarge();
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator<=(int64_t a, const MPInt &b) {
+  if (LLVM_LIKELY(b.isSmall()))
+    return a <= b.getSmall();
+  return a <= b.getLarge();
+}
+LLVM_ATTRIBUTE_ALWAYS_INLINE bool operator>=(int64_t a, const MPInt &b) {
+  if (LLVM_LIKELY(b.isSmall()))
+    return a >= b.getSmall();
+  return a >= b.getLarge();
+}
+
+} // namespace presburger
+} // namespace mlir
+
+#endif // MLIR_ANALYSIS_PRESBURGER_MPINT_H

diff  --git a/mlir/include/mlir/Analysis/Presburger/Matrix.h b/mlir/include/mlir/Analysis/Presburger/Matrix.h
index e232ecd5e1509..c20a7bcecd52d 100644
--- a/mlir/include/mlir/Analysis/Presburger/Matrix.h
+++ b/mlir/include/mlir/Analysis/Presburger/Matrix.h
@@ -7,8 +7,8 @@
 //===----------------------------------------------------------------------===//
 //
 // This is a simple 2D matrix class that supports reading, writing, resizing,
-// swapping rows, and swapping columns. It can hold integers (DynamicAPInt) or
-// rational numbers (Fraction).
+// swapping rows, and swapping columns. It can hold integers (MPInt) or rational
+// numbers (Fraction).
 //
 //===----------------------------------------------------------------------===//
 
@@ -34,13 +34,13 @@ namespace presburger {
 /// (i, j) is stored at data[i*nReservedColumns + j]. The reserved but unused
 /// columns always have all zero values. The reserved rows are just reserved
 /// space in the underlying SmallVector's capacity.
-/// This class only works for the types DynamicAPInt and Fraction, since the
-/// method implementations are in the Matrix.cpp file. Only these two types have
+/// This class only works for the types MPInt and Fraction, since the method
+/// implementations are in the Matrix.cpp file. Only these two types have
 /// been explicitly instantiated there.
 template <typename T>
 class Matrix {
-  static_assert(std::is_same_v<T, DynamicAPInt> || std::is_same_v<T, Fraction>,
-                "T must be DynamicAPInt or Fraction.");
+  static_assert(std::is_same_v<T, MPInt> || std::is_same_v<T, Fraction>,
+                "T must be MPInt or Fraction.");
 
 public:
   Matrix() = delete;
@@ -244,19 +244,19 @@ class Matrix {
   SmallVector<T, 16> data;
 };
 
-extern template class Matrix<DynamicAPInt>;
+extern template class Matrix<MPInt>;
 extern template class Matrix<Fraction>;
 
 // An inherited class for integer matrices, with no new data attributes.
 // This is only used for the matrix-related methods which apply only
 // to integers (hermite normal form computation and row normalisation).
-class IntMatrix : public Matrix<DynamicAPInt> {
+class IntMatrix : public Matrix<MPInt> {
 public:
   IntMatrix(unsigned rows, unsigned columns, unsigned reservedRows = 0,
             unsigned reservedColumns = 0)
-      : Matrix<DynamicAPInt>(rows, columns, reservedRows, reservedColumns) {}
+      : Matrix<MPInt>(rows, columns, reservedRows, reservedColumns){};
 
-  IntMatrix(Matrix<DynamicAPInt> m) : Matrix<DynamicAPInt>(std::move(m)) {}
+  IntMatrix(Matrix<MPInt> m) : Matrix<MPInt>(std::move(m)){};
 
   /// Return the identity matrix of the specified dimension.
   static IntMatrix identity(unsigned dimension);
@@ -275,10 +275,10 @@ class IntMatrix : public Matrix<DynamicAPInt> {
 
   /// Divide the first `nCols` of the specified row by their GCD.
   /// Returns the GCD of the first `nCols` of the specified row.
-  DynamicAPInt normalizeRow(unsigned row, unsigned nCols);
+  MPInt normalizeRow(unsigned row, unsigned nCols);
   /// Divide the columns of the specified row by their GCD.
   /// Returns the GCD of the columns of the specified row.
-  DynamicAPInt normalizeRow(unsigned row);
+  MPInt normalizeRow(unsigned row);
 
   // Compute the determinant of the matrix (cubic time).
   // Stores the integer inverse of the matrix in the pointer
@@ -287,7 +287,7 @@ class IntMatrix : public Matrix<DynamicAPInt> {
   // For a matrix M, the integer inverse is the matrix M' such that
   // M x M' = M'  M = det(M) x I.
   // Assert-fails if the matrix is not square.
-  DynamicAPInt determinant(IntMatrix *inverse = nullptr) const;
+  MPInt determinant(IntMatrix *inverse = nullptr) const;
 };
 
 // An inherited class for rational matrices, with no new data attributes.

diff  --git a/mlir/include/mlir/Analysis/Presburger/PWMAFunction.h b/mlir/include/mlir/Analysis/Presburger/PWMAFunction.h
index fcc39bf0e0537..236cc90ad66ac 100644
--- a/mlir/include/mlir/Analysis/Presburger/PWMAFunction.h
+++ b/mlir/include/mlir/Analysis/Presburger/PWMAFunction.h
@@ -67,9 +67,7 @@ class MultiAffineFunction {
   /// Get a matrix with each row representing row^th output expression.
   const IntMatrix &getOutputMatrix() const { return output; }
   /// Get the `i^th` output expression.
-  ArrayRef<DynamicAPInt> getOutputExpr(unsigned i) const {
-    return output.getRow(i);
-  }
+  ArrayRef<MPInt> getOutputExpr(unsigned i) const { return output.getRow(i); }
 
   /// Get the divisions used in this function.
   const DivisionRepr &getDivs() const { return divs; }
@@ -82,9 +80,9 @@ class MultiAffineFunction {
   void mergeDivs(MultiAffineFunction &other);
 
   //// Return the output of the function at the given point.
-  SmallVector<DynamicAPInt, 8> valueAt(ArrayRef<DynamicAPInt> point) const;
-  SmallVector<DynamicAPInt, 8> valueAt(ArrayRef<int64_t> point) const {
-    return valueAt(getDynamicAPIntVec(point));
+  SmallVector<MPInt, 8> valueAt(ArrayRef<MPInt> point) const;
+  SmallVector<MPInt, 8> valueAt(ArrayRef<int64_t> point) const {
+    return valueAt(getMPIntVec(point));
   }
 
   /// Return whether the `this` and `other` are equal when the domain is
@@ -193,11 +191,9 @@ class PWMAFunction {
   PresburgerSet getDomain() const;
 
   /// Return the output of the function at the given point.
-  std::optional<SmallVector<DynamicAPInt, 8>>
-  valueAt(ArrayRef<DynamicAPInt> point) const;
-  std::optional<SmallVector<DynamicAPInt, 8>>
-  valueAt(ArrayRef<int64_t> point) const {
-    return valueAt(getDynamicAPIntVec(point));
+  std::optional<SmallVector<MPInt, 8>> valueAt(ArrayRef<MPInt> point) const;
+  std::optional<SmallVector<MPInt, 8>> valueAt(ArrayRef<int64_t> point) const {
+    return valueAt(getMPIntVec(point));
   }
 
   /// Return all the pieces of this piece-wise function.

diff  --git a/mlir/include/mlir/Analysis/Presburger/PresburgerRelation.h b/mlir/include/mlir/Analysis/Presburger/PresburgerRelation.h
index f7e06a6b22a95..9634df6d58a1a 100644
--- a/mlir/include/mlir/Analysis/Presburger/PresburgerRelation.h
+++ b/mlir/include/mlir/Analysis/Presburger/PresburgerRelation.h
@@ -142,9 +142,9 @@ class PresburgerRelation {
   SymbolicLexOpt findSymbolicIntegerLexMax() const;
 
   /// Return true if the set contains the given point, and false otherwise.
-  bool containsPoint(ArrayRef<DynamicAPInt> point) const;
+  bool containsPoint(ArrayRef<MPInt> point) const;
   bool containsPoint(ArrayRef<int64_t> point) const {
-    return containsPoint(getDynamicAPIntVec(point));
+    return containsPoint(getMPIntVec(point));
   }
 
   /// Return the complement of this set. All local variables in the set must
@@ -187,7 +187,7 @@ class PresburgerRelation {
 
   /// Find an integer sample from the given set. This should not be called if
   /// any of the disjuncts in the union are unbounded.
-  bool findIntegerSample(SmallVectorImpl<DynamicAPInt> &sample);
+  bool findIntegerSample(SmallVectorImpl<MPInt> &sample);
 
   /// Compute an overapproximation of the number of integer points in the
   /// disjunct. Symbol vars are currently not supported. If the computed
@@ -196,7 +196,7 @@ class PresburgerRelation {
   /// This currently just sums up the overapproximations of the volumes of the
   /// disjuncts, so the approximation might be far from the true volume in the
   /// case when there is a lot of overlap between disjuncts.
-  std::optional<DynamicAPInt> computeVolume() const;
+  std::optional<MPInt> computeVolume() const;
 
   /// Simplifies the representation of a PresburgerRelation.
   ///

diff  --git a/mlir/include/mlir/Analysis/Presburger/Simplex.h b/mlir/include/mlir/Analysis/Presburger/Simplex.h
index ff26e94e019c8..7ee74c150867c 100644
--- a/mlir/include/mlir/Analysis/Presburger/Simplex.h
+++ b/mlir/include/mlir/Analysis/Presburger/Simplex.h
@@ -166,7 +166,7 @@ class SimplexBase {
   /// Add an inequality to the tableau. If coeffs is c_0, c_1, ... c_n, where n
   /// is the current number of variables, then the corresponding inequality is
   /// c_n + c_0*x_0 + c_1*x_1 + ... + c_{n-1}*x_{n-1} >= 0.
-  virtual void addInequality(ArrayRef<DynamicAPInt> coeffs) = 0;
+  virtual void addInequality(ArrayRef<MPInt> coeffs) = 0;
 
   /// Returns the number of variables in the tableau.
   unsigned getNumVariables() const;
@@ -177,7 +177,7 @@ class SimplexBase {
   /// Add an equality to the tableau. If coeffs is c_0, c_1, ... c_n, where n
   /// is the current number of variables, then the corresponding equality is
   /// c_n + c_0*x_0 + c_1*x_1 + ... + c_{n-1}*x_{n-1} == 0.
-  void addEquality(ArrayRef<DynamicAPInt> coeffs);
+  void addEquality(ArrayRef<MPInt> coeffs);
 
   /// Add new variables to the end of the list of variables.
   void appendVariable(unsigned count = 1);
@@ -186,8 +186,7 @@ class SimplexBase {
   /// integer value is the floor div of `coeffs` and `denom`.
   ///
   /// `denom` must be positive.
-  void addDivisionVariable(ArrayRef<DynamicAPInt> coeffs,
-                           const DynamicAPInt &denom);
+  void addDivisionVariable(ArrayRef<MPInt> coeffs, const MPInt &denom);
 
   /// Mark the tableau as being empty.
   void markEmpty();
@@ -296,7 +295,7 @@ class SimplexBase {
   /// con.
   ///
   /// Returns the index of the new Unknown in con.
-  unsigned addRow(ArrayRef<DynamicAPInt> coeffs, bool makeRestricted = false);
+  unsigned addRow(ArrayRef<MPInt> coeffs, bool makeRestricted = false);
 
   /// Swap the two rows/columns in the tableau and associated data structures.
   void swapRows(unsigned i, unsigned j);
@@ -424,7 +423,7 @@ class LexSimplexBase : public SimplexBase {
   ///
   /// This just adds the inequality to the tableau and does not try to create a
   /// consistent tableau configuration.
-  void addInequality(ArrayRef<DynamicAPInt> coeffs) final;
+  void addInequality(ArrayRef<MPInt> coeffs) final;
 
   /// Get a snapshot of the current state. This is used for rolling back.
   unsigned getSnapshot() { return SimplexBase::getSnapshotBasis(); }
@@ -496,15 +495,15 @@ class LexSimplex : public LexSimplexBase {
   ///
   /// Note: this should be used only when the lexmin is really needed. To obtain
   /// any integer sample, use Simplex::findIntegerSample as that is more robust.
-  MaybeOptimum<SmallVector<DynamicAPInt, 8>> findIntegerLexMin();
+  MaybeOptimum<SmallVector<MPInt, 8>> findIntegerLexMin();
 
   /// Return whether the specified inequality is redundant/separate for the
   /// polytope. Redundant means every point satisfies the given inequality, and
   /// separate means no point satisfies it.
   ///
   /// These checks are integer-exact.
-  bool isSeparateInequality(ArrayRef<DynamicAPInt> coeffs);
-  bool isRedundantInequality(ArrayRef<DynamicAPInt> coeffs);
+  bool isSeparateInequality(ArrayRef<MPInt> coeffs);
+  bool isRedundantInequality(ArrayRef<MPInt> coeffs);
 
 private:
   /// Returns the current sample point, which may contain non-integer (rational)
@@ -657,11 +656,11 @@ class SymbolicLexSimplex : public LexSimplexBase {
   /// Get the numerator of the symbolic sample of the specific row.
   /// This is an affine expression in the symbols with integer coefficients.
   /// The last element is the constant term. This ignores the big M coefficient.
-  SmallVector<DynamicAPInt, 8> getSymbolicSampleNumerator(unsigned row) const;
+  SmallVector<MPInt, 8> getSymbolicSampleNumerator(unsigned row) const;
 
   /// Get an affine inequality in the symbols with integer coefficients that
   /// holds iff the symbolic sample of the specified row is non-negative.
-  SmallVector<DynamicAPInt, 8> getSymbolicSampleIneq(unsigned row) const;
+  SmallVector<MPInt, 8> getSymbolicSampleIneq(unsigned row) const;
 
   /// Return whether all the coefficients of the symbolic sample are integers.
   ///
@@ -711,7 +710,7 @@ class Simplex : public SimplexBase {
   ///
   /// This also tries to restore the tableau configuration to a consistent
   /// state and marks the Simplex empty if this is not possible.
-  void addInequality(ArrayRef<DynamicAPInt> coeffs) final;
+  void addInequality(ArrayRef<MPInt> coeffs) final;
 
   /// Compute the maximum or minimum value of the given row, depending on
   /// direction. The specified row is never pivoted. On return, the row may
@@ -727,7 +726,7 @@ class Simplex : public SimplexBase {
   /// Returns a Fraction denoting the optimum, or a null value if no optimum
   /// exists, i.e., if the expression is unbounded in this direction.
   MaybeOptimum<Fraction> computeOptimum(Direction direction,
-                                        ArrayRef<DynamicAPInt> coeffs);
+                                        ArrayRef<MPInt> coeffs);
 
   /// Returns whether the perpendicular of the specified constraint is a
   /// is a direction along which the polytope is bounded.
@@ -769,14 +768,14 @@ class Simplex : public SimplexBase {
   /// Returns a (min, max) pair denoting the minimum and maximum integer values
   /// of the given expression. If no integer value exists, both results will be
   /// of kind Empty.
-  std::pair<MaybeOptimum<DynamicAPInt>, MaybeOptimum<DynamicAPInt>>
-  computeIntegerBounds(ArrayRef<DynamicAPInt> coeffs);
+  std::pair<MaybeOptimum<MPInt>, MaybeOptimum<MPInt>>
+  computeIntegerBounds(ArrayRef<MPInt> coeffs);
 
   /// Check if the simplex takes only one rational value along the
   /// direction of `coeffs`.
   ///
   /// `this` must be nonempty.
-  bool isFlatAlong(ArrayRef<DynamicAPInt> coeffs);
+  bool isFlatAlong(ArrayRef<MPInt> coeffs);
 
   /// Returns true if the polytope is unbounded, i.e., extends to infinity in
   /// some direction. Otherwise, returns false.
@@ -788,7 +787,7 @@ class Simplex : public SimplexBase {
 
   /// Returns an integer sample point if one exists, or std::nullopt
   /// otherwise. This should only be called for bounded sets.
-  std::optional<SmallVector<DynamicAPInt, 8>> findIntegerSample();
+  std::optional<SmallVector<MPInt, 8>> findIntegerSample();
 
   enum class IneqType { Redundant, Cut, Separate };
 
@@ -798,13 +797,13 @@ class Simplex : public SimplexBase {
   /// Redundant   The inequality is satisfied in the polytope
   /// Cut         The inequality is satisfied by some points, but not by others
   /// Separate    The inequality is not satisfied by any point
-  IneqType findIneqType(ArrayRef<DynamicAPInt> coeffs);
+  IneqType findIneqType(ArrayRef<MPInt> coeffs);
 
   /// Check if the specified inequality already holds in the polytope.
-  bool isRedundantInequality(ArrayRef<DynamicAPInt> coeffs);
+  bool isRedundantInequality(ArrayRef<MPInt> coeffs);
 
   /// Check if the specified equality already holds in the polytope.
-  bool isRedundantEquality(ArrayRef<DynamicAPInt> coeffs);
+  bool isRedundantEquality(ArrayRef<MPInt> coeffs);
 
   /// Returns true if this Simplex's polytope is a rational subset of `rel`.
   /// Otherwise, returns false.
@@ -812,7 +811,7 @@ class Simplex : public SimplexBase {
 
   /// Returns the current sample point if it is integral. Otherwise, returns
   /// std::nullopt.
-  std::optional<SmallVector<DynamicAPInt, 8>> getSamplePointIfIntegral() const;
+  std::optional<SmallVector<MPInt, 8>> getSamplePointIfIntegral() const;
 
   /// Returns the current sample point, which may contain non-integer (rational)
   /// coordinates. Returns an empty optional when the tableau is empty.

diff  --git a/mlir/include/mlir/Analysis/Presburger/SlowMPInt.h b/mlir/include/mlir/Analysis/Presburger/SlowMPInt.h
new file mode 100644
index 0000000000000..482581c573cea
--- /dev/null
+++ b/mlir/include/mlir/Analysis/Presburger/SlowMPInt.h
@@ -0,0 +1,135 @@
+//===- SlowMPInt.h - MLIR SlowMPInt Class -----------------------*- C++ -*-===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+//
+// This is a simple class to represent arbitrary precision signed integers.
+// Unlike APInt, one does not have to specify a fixed maximum size, and the
+// integer can take on any arbitrary values.
+//
+// This class is to be used as a fallback slow path for the MPInt class, and
+// is not intended to be used directly.
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef MLIR_ANALYSIS_PRESBURGER_SLOWMPINT_H
+#define MLIR_ANALYSIS_PRESBURGER_SLOWMPINT_H
+
+#include "llvm/ADT/APInt.h"
+#include "llvm/ADT/Hashing.h"
+#include "llvm/Support/raw_ostream.h"
+
+namespace mlir {
+namespace presburger {
+namespace detail {
+
+/// A simple class providing multi-precision arithmetic. Internally, it stores
+/// an APInt, whose width is doubled whenever an overflow occurs at a certain
+/// width. The default constructor sets the initial width to 64. SlowMPInt is
+/// primarily intended to be used as a slow fallback path for the upcoming MPInt
+/// class.
+class SlowMPInt {
+private:
+  llvm::APInt val;
+
+public:
+  explicit SlowMPInt(int64_t val);
+  SlowMPInt();
+  explicit SlowMPInt(const llvm::APInt &val);
+  SlowMPInt &operator=(int64_t val);
+  explicit operator int64_t() const;
+  SlowMPInt operator-() const;
+  bool operator==(const SlowMPInt &o) const;
+  bool operator!=(const SlowMPInt &o) const;
+  bool operator>(const SlowMPInt &o) const;
+  bool operator<(const SlowMPInt &o) const;
+  bool operator<=(const SlowMPInt &o) const;
+  bool operator>=(const SlowMPInt &o) const;
+  SlowMPInt operator+(const SlowMPInt &o) const;
+  SlowMPInt operator-(const SlowMPInt &o) const;
+  SlowMPInt operator*(const SlowMPInt &o) const;
+  SlowMPInt operator/(const SlowMPInt &o) const;
+  SlowMPInt operator%(const SlowMPInt &o) const;
+  SlowMPInt &operator+=(const SlowMPInt &o);
+  SlowMPInt &operator-=(const SlowMPInt &o);
+  SlowMPInt &operator*=(const SlowMPInt &o);
+  SlowMPInt &operator/=(const SlowMPInt &o);
+  SlowMPInt &operator%=(const SlowMPInt &o);
+
+  SlowMPInt &operator++();
+  SlowMPInt &operator--();
+
+  friend SlowMPInt abs(const SlowMPInt &x);
+  friend SlowMPInt ceilDiv(const SlowMPInt &lhs, const SlowMPInt &rhs);
+  friend SlowMPInt floorDiv(const SlowMPInt &lhs, const SlowMPInt &rhs);
+  /// The operands must be non-negative for gcd.
+  friend SlowMPInt gcd(const SlowMPInt &a, const SlowMPInt &b);
+
+  /// Overload to compute a hash_code for a SlowMPInt value.
+  friend llvm::hash_code hash_value(const SlowMPInt &x); // NOLINT
+
+  void print(llvm::raw_ostream &os) const;
+  void dump() const;
+
+  unsigned getBitWidth() const { return val.getBitWidth(); }
+};
+
+llvm::raw_ostream &operator<<(llvm::raw_ostream &os, const SlowMPInt &x);
+
+/// Returns the remainder of dividing LHS by RHS.
+///
+/// The RHS is always expected to be positive, and the result
+/// is always non-negative.
+SlowMPInt mod(const SlowMPInt &lhs, const SlowMPInt &rhs);
+
+/// Returns the least common multiple of 'a' and 'b'.
+SlowMPInt lcm(const SlowMPInt &a, const SlowMPInt &b);
+
+/// Redeclarations of friend declarations above to
+/// make it discoverable by lookups.
+SlowMPInt abs(const SlowMPInt &x);
+SlowMPInt ceilDiv(const SlowMPInt &lhs, const SlowMPInt &rhs);
+SlowMPInt floorDiv(const SlowMPInt &lhs, const SlowMPInt &rhs);
+SlowMPInt gcd(const SlowMPInt &a, const SlowMPInt &b);
+llvm::hash_code hash_value(const SlowMPInt &x); // NOLINT
+
+/// ---------------------------------------------------------------------------
+/// Convenience operator overloads for int64_t.
+/// ---------------------------------------------------------------------------
+SlowMPInt &operator+=(SlowMPInt &a, int64_t b);
+SlowMPInt &operator-=(SlowMPInt &a, int64_t b);
+SlowMPInt &operator*=(SlowMPInt &a, int64_t b);
+SlowMPInt &operator/=(SlowMPInt &a, int64_t b);
+SlowMPInt &operator%=(SlowMPInt &a, int64_t b);
+
+bool operator==(const SlowMPInt &a, int64_t b);
+bool operator!=(const SlowMPInt &a, int64_t b);
+bool operator>(const SlowMPInt &a, int64_t b);
+bool operator<(const SlowMPInt &a, int64_t b);
+bool operator<=(const SlowMPInt &a, int64_t b);
+bool operator>=(const SlowMPInt &a, int64_t b);
+SlowMPInt operator+(const SlowMPInt &a, int64_t b);
+SlowMPInt operator-(const SlowMPInt &a, int64_t b);
+SlowMPInt operator*(const SlowMPInt &a, int64_t b);
+SlowMPInt operator/(const SlowMPInt &a, int64_t b);
+SlowMPInt operator%(const SlowMPInt &a, int64_t b);
+
+bool operator==(int64_t a, const SlowMPInt &b);
+bool operator!=(int64_t a, const SlowMPInt &b);
+bool operator>(int64_t a, const SlowMPInt &b);
+bool operator<(int64_t a, const SlowMPInt &b);
+bool operator<=(int64_t a, const SlowMPInt &b);
+bool operator>=(int64_t a, const SlowMPInt &b);
+SlowMPInt operator+(int64_t a, const SlowMPInt &b);
+SlowMPInt operator-(int64_t a, const SlowMPInt &b);
+SlowMPInt operator*(int64_t a, const SlowMPInt &b);
+SlowMPInt operator/(int64_t a, const SlowMPInt &b);
+SlowMPInt operator%(int64_t a, const SlowMPInt &b);
+} // namespace detail
+} // namespace presburger
+} // namespace mlir
+
+#endif // MLIR_ANALYSIS_PRESBURGER_SLOWMPINT_H

diff  --git a/mlir/include/mlir/Analysis/Presburger/Utils.h b/mlir/include/mlir/Analysis/Presburger/Utils.h
index 9b93e52b48490..38262a65f9754 100644
--- a/mlir/include/mlir/Analysis/Presburger/Utils.h
+++ b/mlir/include/mlir/Analysis/Presburger/Utils.h
@@ -13,8 +13,8 @@
 #ifndef MLIR_ANALYSIS_PRESBURGER_UTILS_H
 #define MLIR_ANALYSIS_PRESBURGER_UTILS_H
 
+#include "mlir/Analysis/Presburger/MPInt.h"
 #include "mlir/Support/LLVM.h"
-#include "llvm/ADT/DynamicAPInt.h"
 #include "llvm/ADT/STLExtras.h"
 #include "llvm/ADT/SmallBitVector.h"
 
@@ -23,6 +23,7 @@
 
 namespace mlir {
 namespace presburger {
+
 class IntegerRelation;
 
 /// This class represents the result of operations optimizing something subject
@@ -117,7 +118,7 @@ struct MaybeLocalRepr {
 class DivisionRepr {
 public:
   DivisionRepr(unsigned numVars, unsigned numDivs)
-      : dividends(numDivs, numVars + 1), denoms(numDivs, DynamicAPInt(0)) {}
+      : dividends(numDivs, numVars + 1), denoms(numDivs, MPInt(0)) {}
 
   DivisionRepr(unsigned numVars) : dividends(0, numVars + 1) {}
 
@@ -136,27 +137,21 @@ class DivisionRepr {
   void clearRepr(unsigned i) { denoms[i] = 0; }
 
   // Get the dividend of the `i^th` division.
-  MutableArrayRef<DynamicAPInt> getDividend(unsigned i) {
-    return dividends.getRow(i);
-  }
-  ArrayRef<DynamicAPInt> getDividend(unsigned i) const {
-    return dividends.getRow(i);
-  }
+  MutableArrayRef<MPInt> getDividend(unsigned i) { return dividends.getRow(i); }
+  ArrayRef<MPInt> getDividend(unsigned i) const { return dividends.getRow(i); }
 
   // For a given point containing values for each variable other than the
   // division variables, try to find the values for each division variable from
   // their division representation.
-  SmallVector<std::optional<DynamicAPInt>, 4>
-  divValuesAt(ArrayRef<DynamicAPInt> point) const;
+  SmallVector<std::optional<MPInt>, 4> divValuesAt(ArrayRef<MPInt> point) const;
 
   // Get the `i^th` denominator.
-  DynamicAPInt &getDenom(unsigned i) { return denoms[i]; }
-  DynamicAPInt getDenom(unsigned i) const { return denoms[i]; }
+  MPInt &getDenom(unsigned i) { return denoms[i]; }
+  MPInt getDenom(unsigned i) const { return denoms[i]; }
 
-  ArrayRef<DynamicAPInt> getDenoms() const { return denoms; }
+  ArrayRef<MPInt> getDenoms() const { return denoms; }
 
-  void setDiv(unsigned i, ArrayRef<DynamicAPInt> dividend,
-              const DynamicAPInt &divisor) {
+  void setDiv(unsigned i, ArrayRef<MPInt> dividend, const MPInt &divisor) {
     dividends.setRow(i, dividend);
     denoms[i] = divisor;
   }
@@ -166,8 +161,7 @@ class DivisionRepr {
   // simplify the expression.
   void normalizeDivs();
 
-  void insertDiv(unsigned pos, ArrayRef<DynamicAPInt> dividend,
-                 const DynamicAPInt &divisor);
+  void insertDiv(unsigned pos, ArrayRef<MPInt> dividend, const MPInt &divisor);
   void insertDiv(unsigned pos, unsigned num = 1);
 
   /// Removes duplicate divisions. On every possible duplicate division found,
@@ -193,7 +187,7 @@ class DivisionRepr {
   /// Denominators of each division. If a denominator of a division is `0`, the
   /// division variable is considered to not have a division representation.
   /// Otherwise, the denominator is positive.
-  SmallVector<DynamicAPInt, 4> denoms;
+  SmallVector<MPInt, 4> denoms;
 };
 
 /// If `q` is defined to be equal to `expr floordiv d`, this equivalent to
@@ -211,12 +205,12 @@ class DivisionRepr {
 /// The coefficient of `q` in `dividend` must be zero, as it is not allowed for
 /// local variable to be a floor division of an expression involving itself.
 /// The divisor must be positive.
-SmallVector<DynamicAPInt, 8> getDivUpperBound(ArrayRef<DynamicAPInt> dividend,
-                                              const DynamicAPInt &divisor,
-                                              unsigned localVarIdx);
-SmallVector<DynamicAPInt, 8> getDivLowerBound(ArrayRef<DynamicAPInt> dividend,
-                                              const DynamicAPInt &divisor,
-                                              unsigned localVarIdx);
+SmallVector<MPInt, 8> getDivUpperBound(ArrayRef<MPInt> dividend,
+                                       const MPInt &divisor,
+                                       unsigned localVarIdx);
+SmallVector<MPInt, 8> getDivLowerBound(ArrayRef<MPInt> dividend,
+                                       const MPInt &divisor,
+                                       unsigned localVarIdx);
 
 llvm::SmallBitVector getSubrangeBitVector(unsigned len, unsigned setOffset,
                                           unsigned numSet);
@@ -225,10 +219,10 @@ llvm::SmallBitVector getSubrangeBitVector(unsigned len, unsigned setOffset,
 /// function of other variables (where the divisor is a positive constant).
 /// `foundRepr` contains a boolean for each variable indicating if the
 /// explicit representation for that variable has already been computed.
-/// Return the given array as an array of DynamicAPInts.
-SmallVector<DynamicAPInt, 8> getDynamicAPIntVec(ArrayRef<int64_t> range);
+/// Return the given array as an array of MPInts.
+SmallVector<MPInt, 8> getMPIntVec(ArrayRef<int64_t> range);
 /// Return the given array as an array of int64_t.
-SmallVector<int64_t, 8> getInt64Vec(ArrayRef<DynamicAPInt> range);
+SmallVector<int64_t, 8> getInt64Vec(ArrayRef<MPInt> range);
 
 /// Returns the `MaybeLocalRepr` struct which contains the indices of the
 /// constraints that can be expressed as a floordiv of an affine function. If
@@ -237,8 +231,8 @@ SmallVector<int64_t, 8> getInt64Vec(ArrayRef<DynamicAPInt> range);
 /// not be computed, the kind attribute in `MaybeLocalRepr` is set to None.
 MaybeLocalRepr computeSingleVarRepr(const IntegerRelation &cst,
                                     ArrayRef<bool> foundRepr, unsigned pos,
-                                    MutableArrayRef<DynamicAPInt> dividend,
-                                    DynamicAPInt &divisor);
+                                    MutableArrayRef<MPInt> dividend,
+                                    MPInt &divisor);
 
 /// The following overload using int64_t is required for a callsite in
 /// AffineStructures.h.
@@ -263,25 +257,25 @@ void mergeLocalVars(IntegerRelation &relA, IntegerRelation &relB,
                     llvm::function_ref<bool(unsigned i, unsigned j)> merge);
 
 /// Compute the gcd of the range.
-DynamicAPInt gcdRange(ArrayRef<DynamicAPInt> range);
+MPInt gcdRange(ArrayRef<MPInt> range);
 
 /// Divide the range by its gcd and return the gcd.
-DynamicAPInt normalizeRange(MutableArrayRef<DynamicAPInt> range);
+MPInt normalizeRange(MutableArrayRef<MPInt> range);
 
 /// Normalize the given (numerator, denominator) pair by dividing out the
 /// common factors between them. The numerator here is an affine expression
 /// with integer coefficients. The denominator must be positive.
-void normalizeDiv(MutableArrayRef<DynamicAPInt> num, DynamicAPInt &denom);
+void normalizeDiv(MutableArrayRef<MPInt> num, MPInt &denom);
 
 /// Return `coeffs` with all the elements negated.
-SmallVector<DynamicAPInt, 8> getNegatedCoeffs(ArrayRef<DynamicAPInt> coeffs);
+SmallVector<MPInt, 8> getNegatedCoeffs(ArrayRef<MPInt> coeffs);
 
 /// Return the complement of the given inequality.
 ///
 /// The complement of a_1 x_1 + ... + a_n x_ + c >= 0 is
 /// a_1 x_1 + ... + a_n x_ + c < 0, i.e., -a_1 x_1 - ... - a_n x_ - c - 1 >= 0,
 /// since all the variables are constrained to be integers.
-SmallVector<DynamicAPInt, 8> getComplementIneq(ArrayRef<DynamicAPInt> ineq);
+SmallVector<MPInt, 8> getComplementIneq(ArrayRef<MPInt> ineq);
 
 /// Compute the dot product of two vectors.
 /// The vectors must have the same sizes.

diff  --git a/mlir/include/mlir/Support/LLVM.h b/mlir/include/mlir/Support/LLVM.h
index 7baca03998f5b..235d84c5beff1 100644
--- a/mlir/include/mlir/Support/LLVM.h
+++ b/mlir/include/mlir/Support/LLVM.h
@@ -80,7 +80,6 @@ class TypeSwitch;
 
 // Other common classes.
 class APInt;
-class DynamicAPInt;
 class APSInt;
 class APFloat;
 template <typename Fn>
@@ -144,7 +143,6 @@ using TypeSwitch = llvm::TypeSwitch<T, ResultT>;
 using llvm::APFloat;
 using llvm::APInt;
 using llvm::APSInt;
-using llvm::DynamicAPInt;
 template <typename Fn>
 using function_ref = llvm::function_ref<Fn>;
 using llvm::iterator_range;

diff  --git a/mlir/lib/Analysis/FlatLinearValueConstraints.cpp b/mlir/lib/Analysis/FlatLinearValueConstraints.cpp
index e628fb152b52f..5c4f353f310d6 100644
--- a/mlir/lib/Analysis/FlatLinearValueConstraints.cpp
+++ b/mlir/lib/Analysis/FlatLinearValueConstraints.cpp
@@ -1317,8 +1317,7 @@ mlir::getMultiAffineFunctionFromMap(AffineMap map,
          "AffineMap cannot produce divs without local representation");
 
   // TODO: We shouldn't have to do this conversion.
-  Matrix<DynamicAPInt> mat(map.getNumResults(),
-                           map.getNumInputs() + divs.getNumDivs() + 1);
+  Matrix<MPInt> mat(map.getNumResults(), map.getNumInputs() + divs.getNumDivs() + 1);
   for (unsigned i = 0, e = flattenedExprs.size(); i < e; ++i)
     for (unsigned j = 0, f = flattenedExprs[i].size(); j < f; ++j)
       mat(i, j) = flattenedExprs[i][j];

diff  --git a/mlir/lib/Analysis/Presburger/Barvinok.cpp b/mlir/lib/Analysis/Presburger/Barvinok.cpp
index e16b9269b75fc..0b55185c43782 100644
--- a/mlir/lib/Analysis/Presburger/Barvinok.cpp
+++ b/mlir/lib/Analysis/Presburger/Barvinok.cpp
@@ -61,9 +61,9 @@ ConeH mlir::presburger::detail::getDual(ConeV cone) {
 }
 
 /// Find the index of a cone in V-representation.
-DynamicAPInt mlir::presburger::detail::getIndex(const ConeV &cone) {
+MPInt mlir::presburger::detail::getIndex(const ConeV &cone) {
   if (cone.getNumRows() > cone.getNumColumns())
-    return DynamicAPInt(0);
+    return MPInt(0);
 
   return cone.determinant();
 }
@@ -413,7 +413,7 @@ mlir::presburger::detail::computePolytopeGeneratingFunction(
     // constant terms zero.
     ConeH tangentCone = defineHRep(numVars);
     for (unsigned j = 0, e = subset.getNumRows(); j < e; ++j) {
-      SmallVector<DynamicAPInt> ineq(numVars + 1);
+      SmallVector<MPInt> ineq(numVars + 1);
       for (unsigned k = 0; k < numVars; ++k)
         ineq[k] = subset(j, k);
       tangentCone.addInequality(ineq);

diff  --git a/mlir/lib/Analysis/Presburger/CMakeLists.txt b/mlir/lib/Analysis/Presburger/CMakeLists.txt
index 1d30dd38ccd1b..83d0514c9e7d1 100644
--- a/mlir/lib/Analysis/Presburger/CMakeLists.txt
+++ b/mlir/lib/Analysis/Presburger/CMakeLists.txt
@@ -3,11 +3,13 @@ add_mlir_library(MLIRPresburger
   IntegerRelation.cpp
   LinearTransform.cpp
   Matrix.cpp
+  MPInt.cpp
   PresburgerRelation.cpp
   PresburgerSpace.cpp
   PWMAFunction.cpp
   QuasiPolynomial.cpp
   Simplex.cpp
+  SlowMPInt.cpp
   Utils.cpp
 
   LINK_LIBS PUBLIC

diff  --git a/mlir/lib/Analysis/Presburger/IntegerRelation.cpp b/mlir/lib/Analysis/Presburger/IntegerRelation.cpp
index 75215fbab5282..b5a2ed6ccc369 100644
--- a/mlir/lib/Analysis/Presburger/IntegerRelation.cpp
+++ b/mlir/lib/Analysis/Presburger/IntegerRelation.cpp
@@ -15,6 +15,7 @@
 #include "mlir/Analysis/Presburger/IntegerRelation.h"
 #include "mlir/Analysis/Presburger/Fraction.h"
 #include "mlir/Analysis/Presburger/LinearTransform.h"
+#include "mlir/Analysis/Presburger/MPInt.h"
 #include "mlir/Analysis/Presburger/PWMAFunction.h"
 #include "mlir/Analysis/Presburger/PresburgerRelation.h"
 #include "mlir/Analysis/Presburger/PresburgerSpace.h"
@@ -156,10 +157,9 @@ IntegerRelation::findRationalLexMin() const {
   return maybeLexMin;
 }
 
-MaybeOptimum<SmallVector<DynamicAPInt, 8>>
-IntegerRelation::findIntegerLexMin() const {
+MaybeOptimum<SmallVector<MPInt, 8>> IntegerRelation::findIntegerLexMin() const {
   assert(getNumSymbolVars() == 0 && "Symbols are not supported!");
-  MaybeOptimum<SmallVector<DynamicAPInt, 8>> maybeLexMin =
+  MaybeOptimum<SmallVector<MPInt, 8>> maybeLexMin =
       LexSimplex(*this).findIntegerLexMin();
 
   if (!maybeLexMin.isBounded())
@@ -176,8 +176,8 @@ IntegerRelation::findIntegerLexMin() const {
   return maybeLexMin;
 }
 
-static bool rangeIsZero(ArrayRef<DynamicAPInt> range) {
-  return llvm::all_of(range, [](const DynamicAPInt &x) { return x == 0; });
+static bool rangeIsZero(ArrayRef<MPInt> range) {
+  return llvm::all_of(range, [](const MPInt &x) { return x == 0; });
 }
 
 static void removeConstraintsInvolvingVarRange(IntegerRelation &poly,
@@ -363,14 +363,14 @@ unsigned IntegerRelation::appendVar(VarKind kind, unsigned num) {
   return insertVar(kind, pos, num);
 }
 
-void IntegerRelation::addEquality(ArrayRef<DynamicAPInt> eq) {
+void IntegerRelation::addEquality(ArrayRef<MPInt> eq) {
   assert(eq.size() == getNumCols());
   unsigned row = equalities.appendExtraRow();
   for (unsigned i = 0, e = eq.size(); i < e; ++i)
     equalities(row, i) = eq[i];
 }
 
-void IntegerRelation::addInequality(ArrayRef<DynamicAPInt> inEq) {
+void IntegerRelation::addInequality(ArrayRef<MPInt> inEq) {
   assert(inEq.size() == getNumCols());
   unsigned row = inequalities.appendExtraRow();
   for (unsigned i = 0, e = inEq.size(); i < e; ++i)
@@ -541,8 +541,7 @@ bool IntegerRelation::hasConsistentState() const {
   return true;
 }
 
-void IntegerRelation::setAndEliminate(unsigned pos,
-                                      ArrayRef<DynamicAPInt> values) {
+void IntegerRelation::setAndEliminate(unsigned pos, ArrayRef<MPInt> values) {
   if (values.empty())
     return;
   assert(pos + values.size() <= getNumVars() &&
@@ -568,7 +567,7 @@ void IntegerRelation::clearAndCopyFrom(const IntegerRelation &other) {
 bool IntegerRelation::findConstraintWithNonZeroAt(unsigned colIdx, bool isEq,
                                                   unsigned *rowIdx) const {
   assert(colIdx < getNumCols() && "position out of bounds");
-  auto at = [&](unsigned rowIdx) -> DynamicAPInt {
+  auto at = [&](unsigned rowIdx) -> MPInt {
     return isEq ? atEq(rowIdx, colIdx) : atIneq(rowIdx, colIdx);
   };
   unsigned e = isEq ? getNumEqualities() : getNumInequalities();
@@ -595,7 +594,7 @@ bool IntegerRelation::hasInvalidConstraint() const {
     for (unsigned i = 0, e = numRows; i < e; ++i) {
       unsigned j;
       for (j = 0; j < numCols - 1; ++j) {
-        DynamicAPInt v = isEq ? atEq(i, j) : atIneq(i, j);
+        MPInt v = isEq ? atEq(i, j) : atIneq(i, j);
         // Skip rows with non-zero variable coefficients.
         if (v != 0)
           break;
@@ -605,7 +604,7 @@ bool IntegerRelation::hasInvalidConstraint() const {
       }
       // Check validity of constant term at 'numCols - 1' w.r.t 'isEq'.
       // Example invalid constraints include: '1 == 0' or '-1 >= 0'
-      DynamicAPInt v = isEq ? atEq(i, numCols - 1) : atIneq(i, numCols - 1);
+      MPInt v = isEq ? atEq(i, numCols - 1) : atIneq(i, numCols - 1);
       if ((isEq && v != 0) || (!isEq && v < 0)) {
         return true;
       }
@@ -627,26 +626,26 @@ static void eliminateFromConstraint(IntegerRelation *constraints,
   // Skip if equality 'rowIdx' if same as 'pivotRow'.
   if (isEq && rowIdx == pivotRow)
     return;
-  auto at = [&](unsigned i, unsigned j) -> DynamicAPInt {
+  auto at = [&](unsigned i, unsigned j) -> MPInt {
     return isEq ? constraints->atEq(i, j) : constraints->atIneq(i, j);
   };
-  DynamicAPInt leadCoeff = at(rowIdx, pivotCol);
+  MPInt leadCoeff = at(rowIdx, pivotCol);
   // Skip if leading coefficient at 'rowIdx' is already zero.
   if (leadCoeff == 0)
     return;
-  DynamicAPInt pivotCoeff = constraints->atEq(pivotRow, pivotCol);
+  MPInt pivotCoeff = constraints->atEq(pivotRow, pivotCol);
   int sign = (leadCoeff * pivotCoeff > 0) ? -1 : 1;
-  DynamicAPInt lcm = llvm::lcm(pivotCoeff, leadCoeff);
-  DynamicAPInt pivotMultiplier = sign * (lcm / abs(pivotCoeff));
-  DynamicAPInt rowMultiplier = lcm / abs(leadCoeff);
+  MPInt lcm = presburger::lcm(pivotCoeff, leadCoeff);
+  MPInt pivotMultiplier = sign * (lcm / abs(pivotCoeff));
+  MPInt rowMultiplier = lcm / abs(leadCoeff);
 
   unsigned numCols = constraints->getNumCols();
   for (unsigned j = 0; j < numCols; ++j) {
     // Skip updating column 'j' if it was just eliminated.
     if (j >= elimColStart && j < pivotCol)
       continue;
-    DynamicAPInt v = pivotMultiplier * constraints->atEq(pivotRow, j) +
-                     rowMultiplier * at(rowIdx, j);
+    MPInt v = pivotMultiplier * constraints->atEq(pivotRow, j) +
+              rowMultiplier * at(rowIdx, j);
     isEq ? constraints->atEq(rowIdx, j) = v
          : constraints->atIneq(rowIdx, j) = v;
   }
@@ -758,11 +757,11 @@ bool IntegerRelation::isEmptyByGCDTest() const {
   assert(hasConsistentState());
   unsigned numCols = getNumCols();
   for (unsigned i = 0, e = getNumEqualities(); i < e; ++i) {
-    DynamicAPInt gcd = abs(atEq(i, 0));
+    MPInt gcd = abs(atEq(i, 0));
     for (unsigned j = 1; j < numCols - 1; ++j) {
-      gcd = llvm::gcd(gcd, abs(atEq(i, j)));
+      gcd = presburger::gcd(gcd, abs(atEq(i, j)));
     }
-    DynamicAPInt v = abs(atEq(i, numCols - 1));
+    MPInt v = abs(atEq(i, numCols - 1));
     if (gcd > 0 && (v % gcd != 0)) {
       return true;
     }
@@ -865,7 +864,7 @@ bool IntegerRelation::isIntegerEmpty() const { return !findIntegerSample(); }
 ///
 /// Concatenating the samples from B and C gives a sample v in S*T, so the
 /// returned sample T*v is a sample in S.
-std::optional<SmallVector<DynamicAPInt, 8>>
+std::optional<SmallVector<MPInt, 8>>
 IntegerRelation::findIntegerSample() const {
   // First, try the GCD test heuristic.
   if (isEmptyByGCDTest())
@@ -905,7 +904,7 @@ IntegerRelation::findIntegerSample() const {
   boundedSet.removeVarRange(numBoundedDims, boundedSet.getNumVars());
 
   // 3) Try to obtain a sample from the bounded set.
-  std::optional<SmallVector<DynamicAPInt, 8>> boundedSample =
+  std::optional<SmallVector<MPInt, 8>> boundedSample =
       Simplex(boundedSet).findIntegerSample();
   if (!boundedSample)
     return {};
@@ -944,7 +943,7 @@ IntegerRelation::findIntegerSample() const {
   // amount for the shrunken cone.
   for (unsigned i = 0, e = cone.getNumInequalities(); i < e; ++i) {
     for (unsigned j = 0; j < cone.getNumVars(); ++j) {
-      DynamicAPInt coeff = cone.atIneq(i, j);
+      MPInt coeff = cone.atIneq(i, j);
       if (coeff < 0)
         cone.atIneq(i, cone.getNumVars()) += coeff;
     }
@@ -961,11 +960,10 @@ IntegerRelation::findIntegerSample() const {
   SmallVector<Fraction, 8> shrunkenConeSample =
       *shrunkenConeSimplex.getRationalSample();
 
-  SmallVector<DynamicAPInt, 8> coneSample(
-      llvm::map_range(shrunkenConeSample, ceil));
+  SmallVector<MPInt, 8> coneSample(llvm::map_range(shrunkenConeSample, ceil));
 
   // 6) Return transform * concat(boundedSample, coneSample).
-  SmallVector<DynamicAPInt, 8> &sample = *boundedSample;
+  SmallVector<MPInt, 8> &sample = *boundedSample;
   sample.append(coneSample.begin(), coneSample.end());
   return transform.postMultiplyWithColumn(sample);
 }
@@ -973,11 +971,10 @@ IntegerRelation::findIntegerSample() const {
 /// Helper to evaluate an affine expression at a point.
 /// The expression is a list of coefficients for the dimensions followed by the
 /// constant term.
-static DynamicAPInt valueAt(ArrayRef<DynamicAPInt> expr,
-                            ArrayRef<DynamicAPInt> point) {
+static MPInt valueAt(ArrayRef<MPInt> expr, ArrayRef<MPInt> point) {
   assert(expr.size() == 1 + point.size() &&
          "Dimensionalities of point and expression don't match!");
-  DynamicAPInt value = expr.back();
+  MPInt value = expr.back();
   for (unsigned i = 0; i < point.size(); ++i)
     value += expr[i] * point[i];
   return value;
@@ -986,7 +983,7 @@ static DynamicAPInt valueAt(ArrayRef<DynamicAPInt> expr,
 /// A point satisfies an equality iff the value of the equality at the
 /// expression is zero, and it satisfies an inequality iff the value of the
 /// inequality at that point is non-negative.
-bool IntegerRelation::containsPoint(ArrayRef<DynamicAPInt> point) const {
+bool IntegerRelation::containsPoint(ArrayRef<MPInt> point) const {
   for (unsigned i = 0, e = getNumEqualities(); i < e; ++i) {
     if (valueAt(getEquality(i), point) != 0)
       return false;
@@ -1006,8 +1003,8 @@ bool IntegerRelation::containsPoint(ArrayRef<DynamicAPInt> point) const {
 /// compute the values of the locals that have division representations and
 /// only use the integer emptiness check for the locals that don't have this.
 /// Handling this correctly requires ordering the divs, though.
-std::optional<SmallVector<DynamicAPInt, 8>>
-IntegerRelation::containsPointNoLocal(ArrayRef<DynamicAPInt> point) const {
+std::optional<SmallVector<MPInt, 8>>
+IntegerRelation::containsPointNoLocal(ArrayRef<MPInt> point) const {
   assert(point.size() == getNumVars() - getNumLocalVars() &&
          "Point should contain all vars except locals!");
   assert(getVarKindOffset(VarKind::Local) == getNumVars() - getNumLocalVars() &&
@@ -1064,7 +1061,7 @@ void IntegerRelation::gcdTightenInequalities() {
   unsigned numCols = getNumCols();
   for (unsigned i = 0, e = getNumInequalities(); i < e; ++i) {
     // Normalize the constraint and tighten the constant term by the GCD.
-    DynamicAPInt gcd = inequalities.normalizeRow(i, getNumCols() - 1);
+    MPInt gcd = inequalities.normalizeRow(i, getNumCols() - 1);
     if (gcd > 1)
       atIneq(i, numCols - 1) = floorDiv(atIneq(i, numCols - 1), gcd);
   }
@@ -1236,14 +1233,14 @@ void IntegerRelation::removeRedundantConstraints() {
   equalities.resizeVertically(pos);
 }
 
-std::optional<DynamicAPInt> IntegerRelation::computeVolume() const {
+std::optional<MPInt> IntegerRelation::computeVolume() const {
   assert(getNumSymbolVars() == 0 && "Symbols are not yet supported!");
 
   Simplex simplex(*this);
   // If the polytope is rationally empty, there are certainly no integer
   // points.
   if (simplex.isEmpty())
-    return DynamicAPInt(0);
+    return MPInt(0);
 
   // Just find the maximum and minimum integer value of each non-local var
   // separately, thus finding the number of integer values each such var can
@@ -1259,8 +1256,8 @@ std::optional<DynamicAPInt> IntegerRelation::computeVolume() const {
   //
   // If there is no such empty dimension, if any dimension is unbounded we
   // just return the result as unbounded.
-  DynamicAPInt count(1);
-  SmallVector<DynamicAPInt, 8> dim(getNumVars() + 1);
+  MPInt count(1);
+  SmallVector<MPInt, 8> dim(getNumVars() + 1);
   bool hasUnboundedVar = false;
   for (unsigned i = 0, e = getNumDimAndSymbolVars(); i < e; ++i) {
     dim[i] = 1;
@@ -1280,13 +1277,13 @@ std::optional<DynamicAPInt> IntegerRelation::computeVolume() const {
     // In this case there are no valid integer points and the volume is
     // definitely zero.
     if (min.getBoundedOptimum() > max.getBoundedOptimum())
-      return DynamicAPInt(0);
+      return MPInt(0);
 
     count *= (*max - *min + 1);
   }
 
   if (count == 0)
-    return DynamicAPInt(0);
+    return MPInt(0);
   if (hasUnboundedVar)
     return {};
   return count;
@@ -1479,7 +1476,7 @@ void IntegerRelation::convertVarKind(VarKind srcKind, unsigned varStart,
 }
 
 void IntegerRelation::addBound(BoundType type, unsigned pos,
-                               const DynamicAPInt &value) {
+                               const MPInt &value) {
   assert(pos < getNumCols());
   if (type == BoundType::EQ) {
     unsigned row = equalities.appendExtraRow();
@@ -1493,8 +1490,8 @@ void IntegerRelation::addBound(BoundType type, unsigned pos,
   }
 }
 
-void IntegerRelation::addBound(BoundType type, ArrayRef<DynamicAPInt> expr,
-                               const DynamicAPInt &value) {
+void IntegerRelation::addBound(BoundType type, ArrayRef<MPInt> expr,
+                               const MPInt &value) {
   assert(type != BoundType::EQ && "EQ not implemented");
   assert(expr.size() == getNumCols());
   unsigned row = inequalities.appendExtraRow();
@@ -1509,15 +1506,15 @@ void IntegerRelation::addBound(BoundType type, ArrayRef<DynamicAPInt> expr,
 /// respect to a positive constant 'divisor'. Two constraints are added to the
 /// system to capture equivalence with the floordiv.
 ///      q = expr floordiv c    <=>   c*q <= expr <= c*q + c - 1.
-void IntegerRelation::addLocalFloorDiv(ArrayRef<DynamicAPInt> dividend,
-                                       const DynamicAPInt &divisor) {
+void IntegerRelation::addLocalFloorDiv(ArrayRef<MPInt> dividend,
+                                       const MPInt &divisor) {
   assert(dividend.size() == getNumCols() && "incorrect dividend size");
   assert(divisor > 0 && "positive divisor expected");
 
   appendVar(VarKind::Local);
 
-  SmallVector<DynamicAPInt, 8> dividendCopy(dividend.begin(), dividend.end());
-  dividendCopy.insert(dividendCopy.end() - 1, DynamicAPInt(0));
+  SmallVector<MPInt, 8> dividendCopy(dividend.begin(), dividend.end());
+  dividendCopy.insert(dividendCopy.end() - 1, MPInt(0));
   addInequality(
       getDivLowerBound(dividendCopy, divisor, dividendCopy.size() - 2));
   addInequality(
@@ -1533,7 +1530,7 @@ static int findEqualityToConstant(const IntegerRelation &cst, unsigned pos,
                                   bool symbolic = false) {
   assert(pos < cst.getNumVars() && "invalid position");
   for (unsigned r = 0, e = cst.getNumEqualities(); r < e; r++) {
-    DynamicAPInt v = cst.atEq(r, pos);
+    MPInt v = cst.atEq(r, pos);
     if (v * v != 1)
       continue;
     unsigned c;
@@ -1562,7 +1559,7 @@ LogicalResult IntegerRelation::constantFoldVar(unsigned pos) {
 
   // atEq(rowIdx, pos) is either -1 or 1.
   assert(atEq(rowIdx, pos) * atEq(rowIdx, pos) == 1);
-  DynamicAPInt constVal = -atEq(rowIdx, getNumCols() - 1) / atEq(rowIdx, pos);
+  MPInt constVal = -atEq(rowIdx, getNumCols() - 1) / atEq(rowIdx, pos);
   setAndEliminate(pos, constVal);
   return success();
 }
@@ -1588,10 +1585,9 @@ void IntegerRelation::constantFoldVarRange(unsigned pos, unsigned num) {
 //       s0 + s1 + 16 <= d0 <= s0 + s1 + 31, returns 16.
 //       s0 - 7 <= 8*j <= s0 returns 1 with lb = s0, lbDivisor = 8 (since lb =
 //       ceil(s0 - 7 / 8) = floor(s0 / 8)).
-std::optional<DynamicAPInt> IntegerRelation::getConstantBoundOnDimSize(
-    unsigned pos, SmallVectorImpl<DynamicAPInt> *lb,
-    DynamicAPInt *boundFloorDivisor, SmallVectorImpl<DynamicAPInt> *ub,
-    unsigned *minLbPos, unsigned *minUbPos) const {
+std::optional<MPInt> IntegerRelation::getConstantBoundOnDimSize(
+    unsigned pos, SmallVectorImpl<MPInt> *lb, MPInt *boundFloorDivisor,
+    SmallVectorImpl<MPInt> *ub, unsigned *minLbPos, unsigned *minUbPos) const {
   assert(pos < getNumDimVars() && "Invalid variable position");
 
   // Find an equality for 'pos'^th variable that equates it to some function
@@ -1603,7 +1599,7 @@ std::optional<DynamicAPInt> IntegerRelation::getConstantBoundOnDimSize(
     // TODO: this can be handled in the future by using the explicit
     // representation of the local vars.
     if (!std::all_of(eq.begin() + getNumDimAndSymbolVars(), eq.end() - 1,
-                     [](const DynamicAPInt &coeff) { return coeff == 0; }))
+                     [](const MPInt &coeff) { return coeff == 0; }))
       return std::nullopt;
 
     // This variable can only take a single value.
@@ -1613,7 +1609,7 @@ std::optional<DynamicAPInt> IntegerRelation::getConstantBoundOnDimSize(
       if (ub)
         ub->resize(getNumSymbolVars() + 1);
       for (unsigned c = 0, f = getNumSymbolVars() + 1; c < f; c++) {
-        DynamicAPInt v = atEq(eqPos, pos);
+        MPInt v = atEq(eqPos, pos);
         // atEq(eqRow, pos) is either -1 or 1.
         assert(v * v == 1);
         (*lb)[c] = v < 0 ? atEq(eqPos, getNumDimVars() + c) / -v
@@ -1630,7 +1626,7 @@ std::optional<DynamicAPInt> IntegerRelation::getConstantBoundOnDimSize(
       *minLbPos = eqPos;
     if (minUbPos)
       *minUbPos = eqPos;
-    return DynamicAPInt(1);
+    return MPInt(1);
   }
 
   // Check if the variable appears at all in any of the inequalities.
@@ -1654,7 +1650,7 @@ std::optional<DynamicAPInt> IntegerRelation::getConstantBoundOnDimSize(
                                /*eqIndices=*/nullptr, /*offset=*/0,
                                /*num=*/getNumDimVars());
 
-  std::optional<DynamicAPInt> minDiff;
+  std::optional<MPInt> minDiff;
   unsigned minLbPosition = 0, minUbPosition = 0;
   for (auto ubPos : ubIndices) {
     for (auto lbPos : lbIndices) {
@@ -1671,11 +1667,11 @@ std::optional<DynamicAPInt> IntegerRelation::getConstantBoundOnDimSize(
         }
       if (j < getNumCols() - 1)
         continue;
-      DynamicAPInt 
diff  = ceilDiv(atIneq(ubPos, getNumCols() - 1) +
-                                      atIneq(lbPos, getNumCols() - 1) + 1,
-                                  atIneq(lbPos, pos));
+      MPInt 
diff  = ceilDiv(atIneq(ubPos, getNumCols() - 1) +
+                               atIneq(lbPos, getNumCols() - 1) + 1,
+                           atIneq(lbPos, pos));
       // This bound is non-negative by definition.
-      
diff  = std::max<DynamicAPInt>(
diff , DynamicAPInt(0));
+      
diff  = std::max<MPInt>(
diff , MPInt(0));
       if (minDiff == std::nullopt || 
diff  < minDiff) {
         minDiff = 
diff ;
         minLbPosition = lbPos;
@@ -1715,7 +1711,7 @@ std::optional<DynamicAPInt> IntegerRelation::getConstantBoundOnDimSize(
 }
 
 template <bool isLower>
-std::optional<DynamicAPInt>
+std::optional<MPInt>
 IntegerRelation::computeConstantLowerOrUpperBound(unsigned pos) {
   assert(pos < getNumVars() && "invalid position");
   // Project to 'pos'.
@@ -1737,7 +1733,7 @@ IntegerRelation::computeConstantLowerOrUpperBound(unsigned pos) {
     // If it doesn't, there isn't a bound on it.
     return std::nullopt;
 
-  std::optional<DynamicAPInt> minOrMaxConst;
+  std::optional<MPInt> minOrMaxConst;
 
   // Take the max across all const lower bounds (or min across all constant
   // upper bounds).
@@ -1758,7 +1754,7 @@ IntegerRelation::computeConstantLowerOrUpperBound(unsigned pos) {
       // Not a constant bound.
       continue;
 
-    DynamicAPInt boundConst =
+    MPInt boundConst =
         isLower ? ceilDiv(-atIneq(r, getNumCols() - 1), atIneq(r, 0))
                 : floorDiv(atIneq(r, getNumCols() - 1), -atIneq(r, 0));
     if (isLower) {
@@ -1772,8 +1768,8 @@ IntegerRelation::computeConstantLowerOrUpperBound(unsigned pos) {
   return minOrMaxConst;
 }
 
-std::optional<DynamicAPInt>
-IntegerRelation::getConstantBound(BoundType type, unsigned pos) const {
+std::optional<MPInt> IntegerRelation::getConstantBound(BoundType type,
+                                                       unsigned pos) const {
   if (type == BoundType::LB)
     return IntegerRelation(*this)
         .computeConstantLowerOrUpperBound</*isLower=*/true>(pos);
@@ -1782,14 +1778,13 @@ IntegerRelation::getConstantBound(BoundType type, unsigned pos) const {
         .computeConstantLowerOrUpperBound</*isLower=*/false>(pos);
 
   assert(type == BoundType::EQ && "expected EQ");
-  std::optional<DynamicAPInt> lb =
+  std::optional<MPInt> lb =
       IntegerRelation(*this).computeConstantLowerOrUpperBound</*isLower=*/true>(
           pos);
-  std::optional<DynamicAPInt> ub =
+  std::optional<MPInt> ub =
       IntegerRelation(*this)
           .computeConstantLowerOrUpperBound</*isLower=*/false>(pos);
-  return (lb && ub && *lb == *ub) ? std::optional<DynamicAPInt>(*ub)
-                                  : std::nullopt;
+  return (lb && ub && *lb == *ub) ? std::optional<MPInt>(*ub) : std::nullopt;
 }
 
 // A simple (naive and conservative) check for hyper-rectangularity.
@@ -1830,10 +1825,10 @@ void IntegerRelation::removeTrivialRedundancy() {
   // A map used to detect redundancy stemming from constraints that only 
diff er
   // in their constant term. The value stored is <row position, const term>
   // for a given row.
-  SmallDenseMap<ArrayRef<DynamicAPInt>, std::pair<unsigned, DynamicAPInt>>
+  SmallDenseMap<ArrayRef<MPInt>, std::pair<unsigned, MPInt>>
       rowsWithoutConstTerm;
   // To unique rows.
-  SmallDenseSet<ArrayRef<DynamicAPInt>, 8> rowSet;
+  SmallDenseSet<ArrayRef<MPInt>, 8> rowSet;
 
   // Check if constraint is of the form <non-negative-constant> >= 0.
   auto isTriviallyValid = [&](unsigned r) -> bool {
@@ -1847,8 +1842,8 @@ void IntegerRelation::removeTrivialRedundancy() {
   // Detect and mark redundant constraints.
   SmallVector<bool, 256> redunIneq(getNumInequalities(), false);
   for (unsigned r = 0, e = getNumInequalities(); r < e; r++) {
-    DynamicAPInt *rowStart = &inequalities(r, 0);
-    auto row = ArrayRef<DynamicAPInt>(rowStart, getNumCols());
+    MPInt *rowStart = &inequalities(r, 0);
+    auto row = ArrayRef<MPInt>(rowStart, getNumCols());
     if (isTriviallyValid(r) || !rowSet.insert(row).second) {
       redunIneq[r] = true;
       continue;
@@ -1858,9 +1853,8 @@ void IntegerRelation::removeTrivialRedundancy() {
     // everything other than the one with the smallest constant term redundant.
     // (eg: among i - 16j - 5 >= 0, i - 16j - 1 >=0, i - 16j - 7 >= 0, the
     // former two are redundant).
-    DynamicAPInt constTerm = atIneq(r, getNumCols() - 1);
-    auto rowWithoutConstTerm =
-        ArrayRef<DynamicAPInt>(rowStart, getNumCols() - 1);
+    MPInt constTerm = atIneq(r, getNumCols() - 1);
+    auto rowWithoutConstTerm = ArrayRef<MPInt>(rowStart, getNumCols() - 1);
     const auto &ret =
         rowsWithoutConstTerm.insert({rowWithoutConstTerm, {r, constTerm}});
     if (!ret.second) {
@@ -2016,19 +2010,19 @@ void IntegerRelation::fourierMotzkinEliminate(unsigned pos, bool darkShadow,
   // integer exact.
   for (auto ubPos : ubIndices) {
     for (auto lbPos : lbIndices) {
-      SmallVector<DynamicAPInt, 4> ineq;
+      SmallVector<MPInt, 4> ineq;
       ineq.reserve(newRel.getNumCols());
-      DynamicAPInt lbCoeff = atIneq(lbPos, pos);
+      MPInt lbCoeff = atIneq(lbPos, pos);
       // Note that in the comments above, ubCoeff is the negation of the
       // coefficient in the canonical form as the view taken here is that of the
       // term being moved to the other size of '>='.
-      DynamicAPInt ubCoeff = -atIneq(ubPos, pos);
+      MPInt ubCoeff = -atIneq(ubPos, pos);
       // TODO: refactor this loop to avoid all branches inside.
       for (unsigned l = 0, e = getNumCols(); l < e; l++) {
         if (l == pos)
           continue;
         assert(lbCoeff >= 1 && ubCoeff >= 1 && "bounds wrongly identified");
-        DynamicAPInt lcm = llvm::lcm(lbCoeff, ubCoeff);
+        MPInt lcm = presburger::lcm(lbCoeff, ubCoeff);
         ineq.push_back(atIneq(ubPos, l) * (lcm / ubCoeff) +
                        atIneq(lbPos, l) * (lcm / lbCoeff));
         assert(lcm > 0 && "lcm should be positive!");
@@ -2053,7 +2047,7 @@ void IntegerRelation::fourierMotzkinEliminate(unsigned pos, bool darkShadow,
 
   // Copy over the constraints not involving this variable.
   for (auto nbPos : nbIndices) {
-    SmallVector<DynamicAPInt, 4> ineq;
+    SmallVector<MPInt, 4> ineq;
     ineq.reserve(getNumCols() - 1);
     for (unsigned l = 0, e = getNumCols(); l < e; l++) {
       if (l == pos)
@@ -2068,7 +2062,7 @@ void IntegerRelation::fourierMotzkinEliminate(unsigned pos, bool darkShadow,
 
   // Copy over the equalities.
   for (unsigned r = 0, e = getNumEqualities(); r < e; r++) {
-    SmallVector<DynamicAPInt, 4> eq;
+    SmallVector<MPInt, 4> eq;
     eq.reserve(newRel.getNumCols());
     for (unsigned l = 0, e = getNumCols(); l < e; l++) {
       if (l == pos)
@@ -2132,8 +2126,7 @@ enum BoundCmpResult { Greater, Less, Equal, Unknown };
 
 /// Compares two affine bounds whose coefficients are provided in 'first' and
 /// 'second'. The last coefficient is the constant term.
-static BoundCmpResult compareBounds(ArrayRef<DynamicAPInt> a,
-                                    ArrayRef<DynamicAPInt> b) {
+static BoundCmpResult compareBounds(ArrayRef<MPInt> a, ArrayRef<MPInt> b) {
   assert(a.size() == b.size());
 
   // For the bounds to be comparable, their corresponding variable
@@ -2185,20 +2178,20 @@ IntegerRelation::unionBoundingBox(const IntegerRelation &otherCst) {
   IntegerRelation commonCst(PresburgerSpace::getRelationSpace());
   getCommonConstraints(*this, otherCst, commonCst);
 
-  std::vector<SmallVector<DynamicAPInt, 8>> boundingLbs;
-  std::vector<SmallVector<DynamicAPInt, 8>> boundingUbs;
+  std::vector<SmallVector<MPInt, 8>> boundingLbs;
+  std::vector<SmallVector<MPInt, 8>> boundingUbs;
   boundingLbs.reserve(2 * getNumDimVars());
   boundingUbs.reserve(2 * getNumDimVars());
 
   // To hold lower and upper bounds for each dimension.
-  SmallVector<DynamicAPInt, 4> lb, otherLb, ub, otherUb;
+  SmallVector<MPInt, 4> lb, otherLb, ub, otherUb;
   // To compute min of lower bounds and max of upper bounds for each dimension.
-  SmallVector<DynamicAPInt, 4> minLb(getNumSymbolVars() + 1);
-  SmallVector<DynamicAPInt, 4> maxUb(getNumSymbolVars() + 1);
+  SmallVector<MPInt, 4> minLb(getNumSymbolVars() + 1);
+  SmallVector<MPInt, 4> maxUb(getNumSymbolVars() + 1);
   // To compute final new lower and upper bounds for the union.
-  SmallVector<DynamicAPInt, 8> newLb(getNumCols()), newUb(getNumCols());
+  SmallVector<MPInt, 8> newLb(getNumCols()), newUb(getNumCols());
 
-  DynamicAPInt lbFloorDivisor, otherLbFloorDivisor;
+  MPInt lbFloorDivisor, otherLbFloorDivisor;
   for (unsigned d = 0, e = getNumDimVars(); d < e; ++d) {
     auto extent = getConstantBoundOnDimSize(d, &lb, &lbFloorDivisor, &ub);
     if (!extent.has_value())
@@ -2261,8 +2254,7 @@ IntegerRelation::unionBoundingBox(const IntegerRelation &otherCst) {
     // Copy over the symbolic part + constant term.
     std::copy(minLb.begin(), minLb.end(), newLb.begin() + getNumDimVars());
     std::transform(newLb.begin() + getNumDimVars(), newLb.end(),
-                   newLb.begin() + getNumDimVars(),
-                   std::negate<DynamicAPInt>());
+                   newLb.begin() + getNumDimVars(), std::negate<MPInt>());
     std::copy(maxUb.begin(), maxUb.end(), newUb.begin() + getNumDimVars());
 
     boundingLbs.push_back(newLb);
@@ -2357,14 +2349,14 @@ IntegerPolyhedron IntegerRelation::getDomainSet() const {
 
 bool IntegerRelation::removeDuplicateConstraints() {
   bool changed = false;
-  SmallDenseMap<ArrayRef<DynamicAPInt>, unsigned> hashTable;
+  SmallDenseMap<ArrayRef<MPInt>, unsigned> hashTable;
   unsigned ineqs = getNumInequalities(), cols = getNumCols();
 
   if (ineqs <= 1)
     return changed;
 
   // Check if the non-constant part of the constraint is the same.
-  ArrayRef<DynamicAPInt> row = getInequality(0).drop_back();
+  ArrayRef<MPInt> row = getInequality(0).drop_back();
   hashTable.insert({row, 0});
   for (unsigned k = 1; k < ineqs; ++k) {
     row = getInequality(k).drop_back();
@@ -2384,11 +2376,11 @@ bool IntegerRelation::removeDuplicateConstraints() {
   }
 
   // Check the neg form of each inequality, need an extra vector to store it.
-  SmallVector<DynamicAPInt> negIneq(cols - 1);
+  SmallVector<MPInt> negIneq(cols - 1);
   for (unsigned k = 0; k < ineqs; ++k) {
     row = getInequality(k).drop_back();
     negIneq.assign(row.begin(), row.end());
-    for (DynamicAPInt &ele : negIneq)
+    for (MPInt &ele : negIneq)
       ele = -ele;
     if (!hashTable.contains(negIneq))
       continue;

diff  --git a/mlir/lib/Analysis/Presburger/LinearTransform.cpp b/mlir/lib/Analysis/Presburger/LinearTransform.cpp
index ecab634967694..3e080e698b199 100644
--- a/mlir/lib/Analysis/Presburger/LinearTransform.cpp
+++ b/mlir/lib/Analysis/Presburger/LinearTransform.cpp
@@ -8,6 +8,7 @@
 
 #include "mlir/Analysis/Presburger/LinearTransform.h"
 #include "mlir/Analysis/Presburger/IntegerRelation.h"
+#include "mlir/Analysis/Presburger/MPInt.h"
 #include "mlir/Analysis/Presburger/Matrix.h"
 #include "mlir/Support/LLVM.h"
 #include <utility>
@@ -47,21 +48,21 @@ IntegerRelation LinearTransform::applyTo(const IntegerRelation &rel) const {
   IntegerRelation result(rel.getSpace());
 
   for (unsigned i = 0, e = rel.getNumEqualities(); i < e; ++i) {
-    ArrayRef<DynamicAPInt> eq = rel.getEquality(i);
+    ArrayRef<MPInt> eq = rel.getEquality(i);
 
-    const DynamicAPInt &c = eq.back();
+    const MPInt &c = eq.back();
 
-    SmallVector<DynamicAPInt, 8> newEq = preMultiplyWithRow(eq.drop_back());
+    SmallVector<MPInt, 8> newEq = preMultiplyWithRow(eq.drop_back());
     newEq.push_back(c);
     result.addEquality(newEq);
   }
 
   for (unsigned i = 0, e = rel.getNumInequalities(); i < e; ++i) {
-    ArrayRef<DynamicAPInt> ineq = rel.getInequality(i);
+    ArrayRef<MPInt> ineq = rel.getInequality(i);
 
-    const DynamicAPInt &c = ineq.back();
+    const MPInt &c = ineq.back();
 
-    SmallVector<DynamicAPInt, 8> newIneq = preMultiplyWithRow(ineq.drop_back());
+    SmallVector<MPInt, 8> newIneq = preMultiplyWithRow(ineq.drop_back());
     newIneq.push_back(c);
     result.addInequality(newIneq);
   }

diff  --git a/mlir/lib/Analysis/Presburger/MPInt.cpp b/mlir/lib/Analysis/Presburger/MPInt.cpp
new file mode 100644
index 0000000000000..587e2b572facf
--- /dev/null
+++ b/mlir/lib/Analysis/Presburger/MPInt.cpp
@@ -0,0 +1,38 @@
+//===- MPInt.cpp - MLIR MPInt Class ---------------------------------------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+#include "mlir/Analysis/Presburger/MPInt.h"
+#include "mlir/Analysis/Presburger/SlowMPInt.h"
+#include "llvm/ADT/Hashing.h"
+#include "llvm/Support/raw_ostream.h"
+
+using namespace mlir;
+using namespace presburger;
+
+llvm::hash_code mlir::presburger::hash_value(const MPInt &x) {
+  if (x.isSmall())
+    return llvm::hash_value(x.getSmall());
+  return detail::hash_value(x.getLarge());
+}
+
+/// ---------------------------------------------------------------------------
+/// Printing.
+/// ---------------------------------------------------------------------------
+llvm::raw_ostream &MPInt::print(llvm::raw_ostream &os) const {
+  if (isSmall())
+    return os << valSmall;
+  return os << valLarge;
+}
+
+void MPInt::dump() const { print(llvm::errs()); }
+
+llvm::raw_ostream &mlir::presburger::operator<<(llvm::raw_ostream &os,
+                                                const MPInt &x) {
+  x.print(os);
+  return os;
+}

diff  --git a/mlir/lib/Analysis/Presburger/Matrix.cpp b/mlir/lib/Analysis/Presburger/Matrix.cpp
index 134b805648d9f..4cb6e6b16bc87 100644
--- a/mlir/lib/Analysis/Presburger/Matrix.cpp
+++ b/mlir/lib/Analysis/Presburger/Matrix.cpp
@@ -8,6 +8,7 @@
 
 #include "mlir/Analysis/Presburger/Matrix.h"
 #include "mlir/Analysis/Presburger/Fraction.h"
+#include "mlir/Analysis/Presburger/MPInt.h"
 #include "mlir/Analysis/Presburger/Utils.h"
 #include "mlir/Support/LLVM.h"
 #include "llvm/Support/MathExtras.h"
@@ -371,12 +372,12 @@ SmallVector<T, 8> Matrix<T>::postMultiplyWithColumn(ArrayRef<T> colVec) const {
 /// sourceCol. This brings M(row, targetCol) to the range [0, M(row,
 /// sourceCol)). Apply the same column operation to otherMatrix, with the same
 /// integer multiple.
-static void modEntryColumnOperation(Matrix<DynamicAPInt> &m, unsigned row,
+static void modEntryColumnOperation(Matrix<MPInt> &m, unsigned row,
                                     unsigned sourceCol, unsigned targetCol,
-                                    Matrix<DynamicAPInt> &otherMatrix) {
+                                    Matrix<MPInt> &otherMatrix) {
   assert(m(row, sourceCol) != 0 && "Cannot divide by zero!");
   assert(m(row, sourceCol) > 0 && "Source must be positive!");
-  DynamicAPInt ratio = -floorDiv(m(row, targetCol), m(row, sourceCol));
+  MPInt ratio = -floorDiv(m(row, targetCol), m(row, sourceCol));
   m.addToColumn(sourceCol, targetCol, ratio);
   otherMatrix.addToColumn(sourceCol, targetCol, ratio);
 }
@@ -443,7 +444,7 @@ bool Matrix<T>::hasConsistentState() const {
 
 namespace mlir {
 namespace presburger {
-template class Matrix<DynamicAPInt>;
+template class Matrix<MPInt>;
 template class Matrix<Fraction>;
 } // namespace presburger
 } // namespace mlir
@@ -541,25 +542,25 @@ std::pair<IntMatrix, IntMatrix> IntMatrix::computeHermiteNormalForm() const {
   return {h, u};
 }
 
-DynamicAPInt IntMatrix::normalizeRow(unsigned row, unsigned cols) {
+MPInt IntMatrix::normalizeRow(unsigned row, unsigned cols) {
   return normalizeRange(getRow(row).slice(0, cols));
 }
 
-DynamicAPInt IntMatrix::normalizeRow(unsigned row) {
+MPInt IntMatrix::normalizeRow(unsigned row) {
   return normalizeRow(row, getNumColumns());
 }
 
-DynamicAPInt IntMatrix::determinant(IntMatrix *inverse) const {
+MPInt IntMatrix::determinant(IntMatrix *inverse) const {
   assert(nRows == nColumns &&
          "determinant can only be calculated for square matrices!");
 
   FracMatrix m(*this);
 
   FracMatrix fracInverse(nRows, nColumns);
-  DynamicAPInt detM = m.determinant(&fracInverse).getAsInteger();
+  MPInt detM = m.determinant(&fracInverse).getAsInteger();
 
   if (detM == 0)
-    return DynamicAPInt(0);
+    return MPInt(0);
 
   if (!inverse)
     return detM;
@@ -717,7 +718,7 @@ FracMatrix FracMatrix::gramSchmidt() const {
 //
 // We repeat this until k = n and return.
 void FracMatrix::LLL(Fraction delta) {
-  DynamicAPInt nearest;
+  MPInt nearest;
   Fraction mu;
 
   // `gsOrth` holds the Gram-Schmidt orthogonalisation
@@ -761,7 +762,7 @@ IntMatrix FracMatrix::normalizeRows() const {
   unsigned numColumns = getNumColumns();
   IntMatrix normalized(numRows, numColumns);
 
-  DynamicAPInt lcmDenoms = DynamicAPInt(1);
+  MPInt lcmDenoms = MPInt(1);
   for (unsigned i = 0; i < numRows; i++) {
     // For a row, first compute the LCM of the denominators.
     for (unsigned j = 0; j < numColumns; j++)

diff  --git a/mlir/lib/Analysis/Presburger/PWMAFunction.cpp b/mlir/lib/Analysis/Presburger/PWMAFunction.cpp
index 664670d506d53..d55962616de17 100644
--- a/mlir/lib/Analysis/Presburger/PWMAFunction.cpp
+++ b/mlir/lib/Analysis/Presburger/PWMAFunction.cpp
@@ -8,6 +8,7 @@
 
 #include "mlir/Analysis/Presburger/PWMAFunction.h"
 #include "mlir/Analysis/Presburger/IntegerRelation.h"
+#include "mlir/Analysis/Presburger/MPInt.h"
 #include "mlir/Analysis/Presburger/PresburgerRelation.h"
 #include "mlir/Analysis/Presburger/PresburgerSpace.h"
 #include "mlir/Analysis/Presburger/Utils.h"
@@ -40,11 +41,11 @@ void MultiAffineFunction::assertIsConsistent() const {
 // Return the result of subtracting the two given vectors pointwise.
 // The vectors must be of the same size.
 // e.g., [3, 4, 6] - [2, 5, 1] = [1, -1, 5].
-static SmallVector<DynamicAPInt, 8> subtractExprs(ArrayRef<DynamicAPInt> vecA,
-                                                  ArrayRef<DynamicAPInt> vecB) {
+static SmallVector<MPInt, 8> subtractExprs(ArrayRef<MPInt> vecA,
+                                           ArrayRef<MPInt> vecB) {
   assert(vecA.size() == vecB.size() &&
          "Cannot subtract vectors of 
diff ering lengths!");
-  SmallVector<DynamicAPInt, 8> result;
+  SmallVector<MPInt, 8> result;
   result.reserve(vecA.size());
   for (unsigned i = 0, e = vecA.size(); i < e; ++i)
     result.push_back(vecA[i] - vecB[i]);
@@ -66,19 +67,18 @@ void MultiAffineFunction::print(raw_ostream &os) const {
   output.print(os);
 }
 
-SmallVector<DynamicAPInt, 8>
-MultiAffineFunction::valueAt(ArrayRef<DynamicAPInt> point) const {
+SmallVector<MPInt, 8>
+MultiAffineFunction::valueAt(ArrayRef<MPInt> point) const {
   assert(point.size() == getNumDomainVars() + getNumSymbolVars() &&
          "Point has incorrect dimensionality!");
 
-  SmallVector<DynamicAPInt, 8> pointHomogenous{llvm::to_vector(point)};
+  SmallVector<MPInt, 8> pointHomogenous{llvm::to_vector(point)};
   // Get the division values at this point.
-  SmallVector<std::optional<DynamicAPInt>, 8> divValues =
-      divs.divValuesAt(point);
+  SmallVector<std::optional<MPInt>, 8> divValues = divs.divValuesAt(point);
   // The given point didn't include the values of the divs which the output is a
   // function of; we have computed one possible set of values and use them here.
   pointHomogenous.reserve(pointHomogenous.size() + divValues.size());
-  for (const std::optional<DynamicAPInt> &divVal : divValues)
+  for (const std::optional<MPInt> &divVal : divValues)
     pointHomogenous.push_back(*divVal);
   // The matrix `output` has an affine expression in the ith row, corresponding
   // to the expression for the ith value in the output vector. The last column
@@ -86,8 +86,7 @@ MultiAffineFunction::valueAt(ArrayRef<DynamicAPInt> point) const {
   // a 1 appended at the end. We can see that output * v gives the desired
   // output vector.
   pointHomogenous.emplace_back(1);
-  SmallVector<DynamicAPInt, 8> result =
-      output.postMultiplyWithColumn(pointHomogenous);
+  SmallVector<MPInt, 8> result = output.postMultiplyWithColumn(pointHomogenous);
   assert(result.size() == getNumOutputs());
   return result;
 }
@@ -139,7 +138,7 @@ void MultiAffineFunction::mergeDivs(MultiAffineFunction &other) {
 
   other.divs.insertDiv(0, nDivs);
 
-  SmallVector<DynamicAPInt, 8> div(other.divs.getNumVars() + 1);
+  SmallVector<MPInt, 8> div(other.divs.getNumVars() + 1);
   for (unsigned i = 0; i < nDivs; ++i) {
     // Zero fill.
     std::fill(div.begin(), div.end(), 0);
@@ -233,7 +232,7 @@ MultiAffineFunction::getLexSet(OrderingKind comp,
 
   for (unsigned level = 0; level < funcA.getNumOutputs(); ++level) {
     // Create the expression `outA - outB` for this level.
-    SmallVector<DynamicAPInt, 8> subExpr =
+    SmallVector<MPInt, 8> subExpr =
         subtractExprs(funcA.getOutputExpr(level), funcB.getOutputExpr(level));
 
     // TODO: Implement all comparison cases.
@@ -243,14 +242,14 @@ MultiAffineFunction::getLexSet(OrderingKind comp,
       //        outA - outB <= -1
       //        outA <= outB - 1
       //        outA < outB
-      levelSet.addBound(BoundType::UB, subExpr, DynamicAPInt(-1));
+      levelSet.addBound(BoundType::UB, subExpr, MPInt(-1));
       break;
     case OrderingKind::GT:
       // For greater than, we add a lower bound of 1:
       //        outA - outB >= 1
       //        outA > outB + 1
       //        outA > outB
-      levelSet.addBound(BoundType::LB, subExpr, DynamicAPInt(1));
+      levelSet.addBound(BoundType::LB, subExpr, MPInt(1));
       break;
     case OrderingKind::GE:
     case OrderingKind::LE:
@@ -390,7 +389,7 @@ void MultiAffineFunction::subtract(const MultiAffineFunction &other) {
   MultiAffineFunction copyOther = other;
   mergeDivs(copyOther);
   for (unsigned i = 0, e = getNumOutputs(); i < e; ++i)
-    output.addToRow(i, copyOther.getOutputExpr(i), DynamicAPInt(-1));
+    output.addToRow(i, copyOther.getOutputExpr(i), MPInt(-1));
 
   // Check consistency.
   assertIsConsistent();
@@ -430,14 +429,14 @@ IntegerRelation MultiAffineFunction::getAsRelation() const {
 
   // Add equalities such that the i^th range variable is equal to the i^th
   // output expression.
-  SmallVector<DynamicAPInt, 8> eq(result.getNumCols());
+  SmallVector<MPInt, 8> eq(result.getNumCols());
   for (unsigned i = 0, e = getNumOutputs(); i < e; ++i) {
     // TODO: Add functions to get VarKind offsets in output in MAF and use them
     // here.
     // The output expression does not contain range variables, while the
     // equality does. So, we need to copy all variables and mark all range
     // variables as 0 in the equality.
-    ArrayRef<DynamicAPInt> expr = getOutputExpr(i);
+    ArrayRef<MPInt> expr = getOutputExpr(i);
     // Copy domain variables in `expr` to domain variables in `eq`.
     std::copy(expr.begin(), expr.begin() + getNumDomainVars(), eq.begin());
     // Fill the range variables in `eq` as zero.
@@ -463,8 +462,8 @@ void PWMAFunction::removeOutputs(unsigned start, unsigned end) {
     piece.output.removeOutputs(start, end);
 }
 
-std::optional<SmallVector<DynamicAPInt, 8>>
-PWMAFunction::valueAt(ArrayRef<DynamicAPInt> point) const {
+std::optional<SmallVector<MPInt, 8>>
+PWMAFunction::valueAt(ArrayRef<MPInt> point) const {
   assert(point.size() == getNumDomainVars() + getNumSymbolVars());
 
   for (const Piece &piece : pieces)

diff  --git a/mlir/lib/Analysis/Presburger/PresburgerRelation.cpp b/mlir/lib/Analysis/Presburger/PresburgerRelation.cpp
index 6173f774d0475..3af6baae0e700 100644
--- a/mlir/lib/Analysis/Presburger/PresburgerRelation.cpp
+++ b/mlir/lib/Analysis/Presburger/PresburgerRelation.cpp
@@ -8,6 +8,7 @@
 
 #include "mlir/Analysis/Presburger/PresburgerRelation.h"
 #include "mlir/Analysis/Presburger/IntegerRelation.h"
+#include "mlir/Analysis/Presburger/MPInt.h"
 #include "mlir/Analysis/Presburger/PWMAFunction.h"
 #include "mlir/Analysis/Presburger/PresburgerSpace.h"
 #include "mlir/Analysis/Presburger/Simplex.h"
@@ -121,7 +122,7 @@ PresburgerRelation::unionSet(const PresburgerRelation &set) const {
 }
 
 /// A point is contained in the union iff any of the parts contain the point.
-bool PresburgerRelation::containsPoint(ArrayRef<DynamicAPInt> point) const {
+bool PresburgerRelation::containsPoint(ArrayRef<MPInt> point) const {
   return llvm::any_of(disjuncts, [&](const IntegerRelation &disjunct) {
     return (disjunct.containsPointNoLocal(point));
   });
@@ -285,15 +286,15 @@ SymbolicLexOpt PresburgerRelation::findSymbolicIntegerLexMax() const {
 ///
 /// For every eq `coeffs == 0` there are two possible ineqs to index into.
 /// The first is coeffs >= 0 and the second is coeffs <= 0.
-static SmallVector<DynamicAPInt, 8>
-getIneqCoeffsFromIdx(const IntegerRelation &rel, unsigned idx) {
+static SmallVector<MPInt, 8> getIneqCoeffsFromIdx(const IntegerRelation &rel,
+                                                  unsigned idx) {
   assert(idx < rel.getNumInequalities() + 2 * rel.getNumEqualities() &&
          "idx out of bounds!");
   if (idx < rel.getNumInequalities())
     return llvm::to_vector<8>(rel.getInequality(idx));
 
   idx -= rel.getNumInequalities();
-  ArrayRef<DynamicAPInt> eqCoeffs = rel.getEquality(idx / 2);
+  ArrayRef<MPInt> eqCoeffs = rel.getEquality(idx / 2);
 
   if (idx % 2 == 0)
     return llvm::to_vector<8>(eqCoeffs);
@@ -553,7 +554,7 @@ static PresburgerRelation getSetDifference(IntegerRelation b,
         // state before adding this complement constraint, and add s_ij to b.
         simplex.rollback(frame.simplexSnapshot);
         b.truncate(frame.bCounts);
-        SmallVector<DynamicAPInt, 8> ineq =
+        SmallVector<MPInt, 8> ineq =
             getIneqCoeffsFromIdx(frame.sI, *frame.lastIneqProcessed);
         b.addInequality(ineq);
         simplex.addInequality(ineq);
@@ -571,7 +572,7 @@ static PresburgerRelation getSetDifference(IntegerRelation b,
       frame.simplexSnapshot = simplex.getSnapshot();
 
       unsigned idx = frame.ineqsToProcess.back();
-      SmallVector<DynamicAPInt, 8> ineq =
+      SmallVector<MPInt, 8> ineq =
           getComplementIneq(getIneqCoeffsFromIdx(frame.sI, idx));
       b.addInequality(ineq);
       simplex.addInequality(ineq);
@@ -669,11 +670,10 @@ bool PresburgerRelation::isIntegerEmpty() const {
   return llvm::all_of(disjuncts, std::mem_fn(&IntegerRelation::isIntegerEmpty));
 }
 
-bool PresburgerRelation::findIntegerSample(
-    SmallVectorImpl<DynamicAPInt> &sample) {
+bool PresburgerRelation::findIntegerSample(SmallVectorImpl<MPInt> &sample) {
   // A sample exists iff any of the disjuncts contains a sample.
   for (const IntegerRelation &disjunct : disjuncts) {
-    if (std::optional<SmallVector<DynamicAPInt, 8>> opt =
+    if (std::optional<SmallVector<MPInt, 8>> opt =
             disjunct.findIntegerSample()) {
       sample = std::move(*opt);
       return true;
@@ -682,13 +682,13 @@ bool PresburgerRelation::findIntegerSample(
   return false;
 }
 
-std::optional<DynamicAPInt> PresburgerRelation::computeVolume() const {
+std::optional<MPInt> PresburgerRelation::computeVolume() const {
   assert(getNumSymbolVars() == 0 && "Symbols are not yet supported!");
   // The sum of the volumes of the disjuncts is a valid overapproximation of the
   // volume of their union, even if they overlap.
-  DynamicAPInt result(0);
+  MPInt result(0);
   for (const IntegerRelation &disjunct : disjuncts) {
-    std::optional<DynamicAPInt> volume = disjunct.computeVolume();
+    std::optional<MPInt> volume = disjunct.computeVolume();
     if (!volume)
       return {};
     result += *volume;
@@ -723,20 +723,20 @@ class presburger::SetCoalescer {
 
   /// The list of all inversed equalities during typing. This ensures that
   /// the constraints exist even after the typing function has concluded.
-  SmallVector<SmallVector<DynamicAPInt, 2>, 2> negEqs;
+  SmallVector<SmallVector<MPInt, 2>, 2> negEqs;
 
   /// `redundantIneqsA` is the inequalities of `a` that are redundant for `b`
   /// (similarly for `cuttingIneqsA`, `redundantIneqsB`, and `cuttingIneqsB`).
-  SmallVector<ArrayRef<DynamicAPInt>, 2> redundantIneqsA;
-  SmallVector<ArrayRef<DynamicAPInt>, 2> cuttingIneqsA;
+  SmallVector<ArrayRef<MPInt>, 2> redundantIneqsA;
+  SmallVector<ArrayRef<MPInt>, 2> cuttingIneqsA;
 
-  SmallVector<ArrayRef<DynamicAPInt>, 2> redundantIneqsB;
-  SmallVector<ArrayRef<DynamicAPInt>, 2> cuttingIneqsB;
+  SmallVector<ArrayRef<MPInt>, 2> redundantIneqsB;
+  SmallVector<ArrayRef<MPInt>, 2> cuttingIneqsB;
 
   /// Given a Simplex `simp` and one of its inequalities `ineq`, check
   /// that the facet of `simp` where `ineq` holds as an equality is contained
   /// within `a`.
-  bool isFacetContained(ArrayRef<DynamicAPInt> ineq, Simplex &simp);
+  bool isFacetContained(ArrayRef<MPInt> ineq, Simplex &simp);
 
   /// Removes redundant constraints from `disjunct`, adds it to `disjuncts` and
   /// removes the disjuncts at position `i` and `j`. Updates `simplices` to
@@ -760,13 +760,13 @@ class presburger::SetCoalescer {
   /// Types the inequality `ineq` according to its `IneqType` for `simp` into
   /// `redundantIneqsB` and `cuttingIneqsB`. Returns success, if no separate
   /// inequalities were encountered. Otherwise, returns failure.
-  LogicalResult typeInequality(ArrayRef<DynamicAPInt> ineq, Simplex &simp);
+  LogicalResult typeInequality(ArrayRef<MPInt> ineq, Simplex &simp);
 
   /// Types the equality `eq`, i.e. for `eq` == 0, types both `eq` >= 0 and
   /// -`eq` >= 0 according to their `IneqType` for `simp` into
   /// `redundantIneqsB` and `cuttingIneqsB`. Returns success, if no separate
   /// inequalities were encountered. Otherwise, returns failure.
-  LogicalResult typeEquality(ArrayRef<DynamicAPInt> eq, Simplex &simp);
+  LogicalResult typeEquality(ArrayRef<MPInt> eq, Simplex &simp);
 
   /// Replaces the element at position `i` with the last element and erases
   /// the last element for both `disjuncts` and `simplices`.
@@ -843,11 +843,10 @@ PresburgerRelation SetCoalescer::coalesce() {
 /// Given a Simplex `simp` and one of its inequalities `ineq`, check
 /// that all inequalities of `cuttingIneqsB` are redundant for the facet of
 /// `simp` where `ineq` holds as an equality is contained within `a`.
-bool SetCoalescer::isFacetContained(ArrayRef<DynamicAPInt> ineq,
-                                    Simplex &simp) {
+bool SetCoalescer::isFacetContained(ArrayRef<MPInt> ineq, Simplex &simp) {
   SimplexRollbackScopeExit scopeExit(simp);
   simp.addEquality(ineq);
-  return llvm::all_of(cuttingIneqsB, [&simp](ArrayRef<DynamicAPInt> curr) {
+  return llvm::all_of(cuttingIneqsB, [&simp](ArrayRef<MPInt> curr) {
     return simp.isRedundantInequality(curr);
   });
 }
@@ -909,23 +908,23 @@ LogicalResult SetCoalescer::coalescePairCutCase(unsigned i, unsigned j) {
   /// redundant ones are, so only the cutting ones remain to be checked.
   Simplex &simp = simplices[i];
   IntegerRelation &disjunct = disjuncts[i];
-  if (llvm::any_of(cuttingIneqsA, [this, &simp](ArrayRef<DynamicAPInt> curr) {
+  if (llvm::any_of(cuttingIneqsA, [this, &simp](ArrayRef<MPInt> curr) {
         return !isFacetContained(curr, simp);
       }))
     return failure();
   IntegerRelation newSet(disjunct.getSpace());
 
-  for (ArrayRef<DynamicAPInt> curr : redundantIneqsA)
+  for (ArrayRef<MPInt> curr : redundantIneqsA)
     newSet.addInequality(curr);
 
-  for (ArrayRef<DynamicAPInt> curr : redundantIneqsB)
+  for (ArrayRef<MPInt> curr : redundantIneqsB)
     newSet.addInequality(curr);
 
   addCoalescedDisjunct(i, j, newSet);
   return success();
 }
 
-LogicalResult SetCoalescer::typeInequality(ArrayRef<DynamicAPInt> ineq,
+LogicalResult SetCoalescer::typeInequality(ArrayRef<MPInt> ineq,
                                            Simplex &simp) {
   Simplex::IneqType type = simp.findIneqType(ineq);
   if (type == Simplex::IneqType::Redundant)
@@ -937,12 +936,11 @@ LogicalResult SetCoalescer::typeInequality(ArrayRef<DynamicAPInt> ineq,
   return success();
 }
 
-LogicalResult SetCoalescer::typeEquality(ArrayRef<DynamicAPInt> eq,
-                                         Simplex &simp) {
+LogicalResult SetCoalescer::typeEquality(ArrayRef<MPInt> eq, Simplex &simp) {
   if (typeInequality(eq, simp).failed())
     return failure();
   negEqs.push_back(getNegatedCoeffs(eq));
-  ArrayRef<DynamicAPInt> inv(negEqs.back());
+  ArrayRef<MPInt> inv(negEqs.back());
   if (typeInequality(inv, simp).failed())
     return failure();
   return success();

diff  --git a/mlir/lib/Analysis/Presburger/Simplex.cpp b/mlir/lib/Analysis/Presburger/Simplex.cpp
index 2cdd79d42732d..1969cce93ad2e 100644
--- a/mlir/lib/Analysis/Presburger/Simplex.cpp
+++ b/mlir/lib/Analysis/Presburger/Simplex.cpp
@@ -9,6 +9,7 @@
 #include "mlir/Analysis/Presburger/Simplex.h"
 #include "mlir/Analysis/Presburger/Fraction.h"
 #include "mlir/Analysis/Presburger/IntegerRelation.h"
+#include "mlir/Analysis/Presburger/MPInt.h"
 #include "mlir/Analysis/Presburger/Matrix.h"
 #include "mlir/Analysis/Presburger/PresburgerSpace.h"
 #include "mlir/Analysis/Presburger/Utils.h"
@@ -36,11 +37,10 @@ const int nullIndex = std::numeric_limits<int>::max();
 
 // Return a + scale*b;
 LLVM_ATTRIBUTE_UNUSED
-static SmallVector<DynamicAPInt, 8>
-scaleAndAddForAssert(ArrayRef<DynamicAPInt> a, const DynamicAPInt &scale,
-                     ArrayRef<DynamicAPInt> b) {
+static SmallVector<MPInt, 8>
+scaleAndAddForAssert(ArrayRef<MPInt> a, const MPInt &scale, ArrayRef<MPInt> b) {
   assert(a.size() == b.size());
-  SmallVector<DynamicAPInt, 8> res;
+  SmallVector<MPInt, 8> res;
   res.reserve(a.size());
   for (unsigned i = 0, e = a.size(); i < e; ++i)
     res.push_back(a[i] + scale * b[i]);
@@ -116,8 +116,7 @@ unsigned SimplexBase::addZeroRow(bool makeRestricted) {
 /// Add a new row to the tableau corresponding to the given constant term and
 /// list of coefficients. The coefficients are specified as a vector of
 /// (variable index, coefficient) pairs.
-unsigned SimplexBase::addRow(ArrayRef<DynamicAPInt> coeffs,
-                             bool makeRestricted) {
+unsigned SimplexBase::addRow(ArrayRef<MPInt> coeffs, bool makeRestricted) {
   assert(coeffs.size() == var.size() + 1 &&
          "Incorrect number of coefficients!");
   assert(var.size() + getNumFixedCols() == getNumColumns() &&
@@ -140,7 +139,7 @@ unsigned SimplexBase::addRow(ArrayRef<DynamicAPInt> coeffs,
     //
     // Symbols don't use the big M parameter since they do not get lex
     // optimized.
-    DynamicAPInt bigMCoeff(0);
+    MPInt bigMCoeff(0);
     for (unsigned i = 0; i < coeffs.size() - 1; ++i)
       if (!var[i].isSymbol)
         bigMCoeff -= coeffs[i];
@@ -166,9 +165,9 @@ unsigned SimplexBase::addRow(ArrayRef<DynamicAPInt> coeffs,
     // row, scaled by the coefficient for the variable, accounting for the two
     // rows potentially having 
diff erent denominators. The new denominator is
     // the lcm of the two.
-    DynamicAPInt lcm = llvm::lcm(tableau(newRow, 0), tableau(pos, 0));
-    DynamicAPInt nRowCoeff = lcm / tableau(newRow, 0);
-    DynamicAPInt idxRowCoeff = coeffs[i] * (lcm / tableau(pos, 0));
+    MPInt lcm = presburger::lcm(tableau(newRow, 0), tableau(pos, 0));
+    MPInt nRowCoeff = lcm / tableau(newRow, 0);
+    MPInt idxRowCoeff = coeffs[i] * (lcm / tableau(pos, 0));
     tableau(newRow, 0) = lcm;
     for (unsigned col = 1, e = getNumColumns(); col < e; ++col)
       tableau(newRow, col) =
@@ -181,7 +180,7 @@ unsigned SimplexBase::addRow(ArrayRef<DynamicAPInt> coeffs,
 }
 
 namespace {
-bool signMatchesDirection(const DynamicAPInt &elem, Direction direction) {
+bool signMatchesDirection(const MPInt &elem, Direction direction) {
   assert(elem != 0 && "elem should not be 0");
   return direction == Direction::Up ? elem > 0 : elem < 0;
 }
@@ -277,7 +276,7 @@ MaybeOptimum<SmallVector<Fraction, 8>> LexSimplex::findRationalLexMin() {
 /// The constraint is violated when added (it would be useless otherwise)
 /// so we immediately try to move it to a column.
 LogicalResult LexSimplexBase::addCut(unsigned row) {
-  DynamicAPInt d = tableau(row, 0);
+  MPInt d = tableau(row, 0);
   unsigned cutRow = addZeroRow(/*makeRestricted=*/true);
   tableau(cutRow, 0) = d;
   tableau(cutRow, 1) = -mod(-tableau(row, 1), d); // -c%d.
@@ -301,7 +300,7 @@ std::optional<unsigned> LexSimplex::maybeGetNonIntegralVarRow() const {
   return {};
 }
 
-MaybeOptimum<SmallVector<DynamicAPInt, 8>> LexSimplex::findIntegerLexMin() {
+MaybeOptimum<SmallVector<MPInt, 8>> LexSimplex::findIntegerLexMin() {
   // We first try to make the tableau consistent.
   if (restoreRationalConsistency().failed())
     return OptimumKind::Empty;
@@ -332,19 +331,19 @@ MaybeOptimum<SmallVector<DynamicAPInt, 8>> LexSimplex::findIntegerLexMin() {
       llvm::map_range(*sample, std::mem_fn(&Fraction::getAsInteger)));
 }
 
-bool LexSimplex::isSeparateInequality(ArrayRef<DynamicAPInt> coeffs) {
+bool LexSimplex::isSeparateInequality(ArrayRef<MPInt> coeffs) {
   SimplexRollbackScopeExit scopeExit(*this);
   addInequality(coeffs);
   return findIntegerLexMin().isEmpty();
 }
 
-bool LexSimplex::isRedundantInequality(ArrayRef<DynamicAPInt> coeffs) {
+bool LexSimplex::isRedundantInequality(ArrayRef<MPInt> coeffs) {
   return isSeparateInequality(getComplementIneq(coeffs));
 }
 
-SmallVector<DynamicAPInt, 8>
+SmallVector<MPInt, 8>
 SymbolicLexSimplex::getSymbolicSampleNumerator(unsigned row) const {
-  SmallVector<DynamicAPInt, 8> sample;
+  SmallVector<MPInt, 8> sample;
   sample.reserve(nSymbol + 1);
   for (unsigned col = 3; col < 3 + nSymbol; ++col)
     sample.push_back(tableau(row, col));
@@ -352,9 +351,9 @@ SymbolicLexSimplex::getSymbolicSampleNumerator(unsigned row) const {
   return sample;
 }
 
-SmallVector<DynamicAPInt, 8>
+SmallVector<MPInt, 8>
 SymbolicLexSimplex::getSymbolicSampleIneq(unsigned row) const {
-  SmallVector<DynamicAPInt, 8> sample = getSymbolicSampleNumerator(row);
+  SmallVector<MPInt, 8> sample = getSymbolicSampleNumerator(row);
   // The inequality is equivalent to the GCD-normalized one.
   normalizeRange(sample);
   return sample;
@@ -367,15 +366,14 @@ void LexSimplexBase::appendSymbol() {
   nSymbol++;
 }
 
-static bool isRangeDivisibleBy(ArrayRef<DynamicAPInt> range,
-                               const DynamicAPInt &divisor) {
+static bool isRangeDivisibleBy(ArrayRef<MPInt> range, const MPInt &divisor) {
   assert(divisor > 0 && "divisor must be positive!");
-  return llvm::all_of(
-      range, [divisor](const DynamicAPInt &x) { return x % divisor == 0; });
+  return llvm::all_of(range,
+                      [divisor](const MPInt &x) { return x % divisor == 0; });
 }
 
 bool SymbolicLexSimplex::isSymbolicSampleIntegral(unsigned row) const {
-  DynamicAPInt denom = tableau(row, 0);
+  MPInt denom = tableau(row, 0);
   return tableau(row, 1) % denom == 0 &&
          isRangeDivisibleBy(tableau.getRow(row).slice(3, nSymbol), denom);
 }
@@ -414,7 +412,7 @@ bool SymbolicLexSimplex::isSymbolicSampleIntegral(unsigned row) const {
 /// This constraint is violated when added so we immediately try to move it to a
 /// column.
 LogicalResult SymbolicLexSimplex::addSymbolicCut(unsigned row) {
-  DynamicAPInt d = tableau(row, 0);
+  MPInt d = tableau(row, 0);
   if (isRangeDivisibleBy(tableau.getRow(row).slice(3, nSymbol), d)) {
     // The coefficients of symbols in the symbol numerator are divisible
     // by the denominator, so we can add the constraint directly,
@@ -423,9 +421,9 @@ LogicalResult SymbolicLexSimplex::addSymbolicCut(unsigned row) {
   }
 
   // Construct the division variable `q = ((-c%d) + sum_i (-a_i%d)s_i)/d`.
-  SmallVector<DynamicAPInt, 8> divCoeffs;
+  SmallVector<MPInt, 8> divCoeffs;
   divCoeffs.reserve(nSymbol + 1);
-  DynamicAPInt divDenom = d;
+  MPInt divDenom = d;
   for (unsigned col = 3; col < 3 + nSymbol; ++col)
     divCoeffs.push_back(mod(-tableau(row, col), divDenom)); // (-a_i%d)s_i
   divCoeffs.push_back(mod(-tableau(row, 1), divDenom));     // -c%d.
@@ -466,7 +464,7 @@ void SymbolicLexSimplex::recordOutput(SymbolicLexOpt &result) const {
       return;
     }
 
-    DynamicAPInt denom = tableau(u.pos, 0);
+    MPInt denom = tableau(u.pos, 0);
     if (tableau(u.pos, 2) < denom) {
       // M + u has a sample value of fM + something, where f < 1, so
       // u = (f - 1)M + something, which has a negative coefficient for M,
@@ -477,8 +475,8 @@ void SymbolicLexSimplex::recordOutput(SymbolicLexOpt &result) const {
     assert(tableau(u.pos, 2) == denom &&
            "Coefficient of M should not be greater than 1!");
 
-    SmallVector<DynamicAPInt, 8> sample = getSymbolicSampleNumerator(u.pos);
-    for (DynamicAPInt &elem : sample) {
+    SmallVector<MPInt, 8> sample = getSymbolicSampleNumerator(u.pos);
+    for (MPInt &elem : sample) {
       assert(elem % denom == 0 && "coefficients must be integral!");
       elem /= denom;
     }
@@ -575,7 +573,7 @@ SymbolicLexOpt SymbolicLexSimplex::computeSymbolicIntegerLexMin() {
         continue;
       }
 
-      SmallVector<DynamicAPInt, 8> symbolicSample;
+      SmallVector<MPInt, 8> symbolicSample;
       unsigned splitRow = 0;
       for (unsigned e = getNumRows(); splitRow < e; ++splitRow) {
         if (tableau(splitRow, 2) > 0)
@@ -660,7 +658,7 @@ SymbolicLexOpt SymbolicLexSimplex::computeSymbolicIntegerLexMin() {
       // was negative.
       assert(u.orientation == Orientation::Row &&
              "The split row should have been returned to row orientation!");
-      SmallVector<DynamicAPInt, 8> splitIneq =
+      SmallVector<MPInt, 8> splitIneq =
           getComplementIneq(getSymbolicSampleIneq(u.pos));
       normalizeRange(splitIneq);
       if (moveRowUnknownToColumn(u.pos).failed()) {
@@ -836,7 +834,7 @@ unsigned LexSimplexBase::getLexMinPivotColumn(unsigned row, unsigned colA,
   // all possible values of the symbols.
   auto getSampleChangeCoeffForVar = [this, row](unsigned col,
                                                 const Unknown &u) -> Fraction {
-    DynamicAPInt a = tableau(row, col);
+    MPInt a = tableau(row, col);
     if (u.orientation == Orientation::Column) {
       // Pivot column case.
       if (u.pos == col)
@@ -851,7 +849,7 @@ unsigned LexSimplexBase::getLexMinPivotColumn(unsigned row, unsigned colA,
       return {1, 1};
 
     // Non-pivot row case.
-    DynamicAPInt c = tableau(u.pos, col);
+    MPInt c = tableau(u.pos, col);
     return {c, a};
   };
 
@@ -885,7 +883,7 @@ std::optional<SimplexBase::Pivot>
 Simplex::findPivot(int row, Direction direction) const {
   std::optional<unsigned> col;
   for (unsigned j = 2, e = getNumColumns(); j < e; ++j) {
-    DynamicAPInt elem = tableau(row, j);
+    MPInt elem = tableau(row, j);
     if (elem == 0)
       continue;
 
@@ -1034,18 +1032,18 @@ std::optional<unsigned> Simplex::findPivotRow(std::optional<unsigned> skipRow,
   // retConst being used uninitialized in the initialization of `
diff ` below. In
   // reality, these are always initialized when that line is reached since these
   // are set whenever retRow is set.
-  DynamicAPInt retElem, retConst;
+  MPInt retElem, retConst;
   for (unsigned row = nRedundant, e = getNumRows(); row < e; ++row) {
     if (skipRow && row == *skipRow)
       continue;
-    DynamicAPInt elem = tableau(row, col);
+    MPInt elem = tableau(row, col);
     if (elem == 0)
       continue;
     if (!unknownFromRow(row).restricted)
       continue;
     if (signMatchesDirection(elem, direction))
       continue;
-    DynamicAPInt constTerm = tableau(row, 1);
+    MPInt constTerm = tableau(row, 1);
 
     if (!retRow) {
       retRow = row;
@@ -1054,7 +1052,7 @@ std::optional<unsigned> Simplex::findPivotRow(std::optional<unsigned> skipRow,
       continue;
     }
 
-    DynamicAPInt 
diff  = retConst * elem - constTerm * retElem;
+    MPInt 
diff  = retConst * elem - constTerm * retElem;
     if ((
diff  == 0 && rowUnknown[row] < rowUnknown[*retRow]) ||
         (
diff  != 0 && !signMatchesDirection(
diff , direction))) {
       retRow = row;
@@ -1105,7 +1103,7 @@ void SimplexBase::markEmpty() {
 /// We add the inequality and mark it as restricted. We then try to make its
 /// sample value non-negative. If this is not possible, the tableau has become
 /// empty and we mark it as such.
-void Simplex::addInequality(ArrayRef<DynamicAPInt> coeffs) {
+void Simplex::addInequality(ArrayRef<MPInt> coeffs) {
   unsigned conIndex = addRow(coeffs, /*makeRestricted=*/true);
   LogicalResult result = restoreRow(con[conIndex]);
   if (failed(result))
@@ -1118,10 +1116,10 @@ void Simplex::addInequality(ArrayRef<DynamicAPInt> coeffs) {
 ///
 /// We simply add two opposing inequalities, which force the expression to
 /// be zero.
-void SimplexBase::addEquality(ArrayRef<DynamicAPInt> coeffs) {
+void SimplexBase::addEquality(ArrayRef<MPInt> coeffs) {
   addInequality(coeffs);
-  SmallVector<DynamicAPInt, 8> negatedCoeffs;
-  for (const DynamicAPInt &coeff : coeffs)
+  SmallVector<MPInt, 8> negatedCoeffs;
+  for (const MPInt &coeff : coeffs)
     negatedCoeffs.emplace_back(-coeff);
   addInequality(negatedCoeffs);
 }
@@ -1297,18 +1295,18 @@ void SimplexBase::rollback(unsigned snapshot) {
 ///
 /// This constrains the remainder `coeffs - denom*q` to be in the
 /// range `[0, denom - 1]`, which fixes the integer value of the quotient `q`.
-void SimplexBase::addDivisionVariable(ArrayRef<DynamicAPInt> coeffs,
-                                      const DynamicAPInt &denom) {
+void SimplexBase::addDivisionVariable(ArrayRef<MPInt> coeffs,
+                                      const MPInt &denom) {
   assert(denom > 0 && "Denominator must be positive!");
   appendVariable();
 
-  SmallVector<DynamicAPInt, 8> ineq(coeffs.begin(), coeffs.end());
-  DynamicAPInt constTerm = ineq.back();
+  SmallVector<MPInt, 8> ineq(coeffs.begin(), coeffs.end());
+  MPInt constTerm = ineq.back();
   ineq.back() = -denom;
   ineq.push_back(constTerm);
   addInequality(ineq);
 
-  for (DynamicAPInt &coeff : ineq)
+  for (MPInt &coeff : ineq)
     coeff = -coeff;
   ineq.back() += denom - 1;
   addInequality(ineq);
@@ -1358,7 +1356,7 @@ MaybeOptimum<Fraction> Simplex::computeRowOptimum(Direction direction,
 /// Compute the optimum of the specified expression in the specified direction,
 /// or std::nullopt if it is unbounded.
 MaybeOptimum<Fraction> Simplex::computeOptimum(Direction direction,
-                                               ArrayRef<DynamicAPInt> coeffs) {
+                                               ArrayRef<MPInt> coeffs) {
   if (empty)
     return OptimumKind::Empty;
 
@@ -1468,7 +1466,7 @@ bool Simplex::isUnbounded() {
   if (empty)
     return false;
 
-  SmallVector<DynamicAPInt, 8> dir(var.size() + 1);
+  SmallVector<MPInt, 8> dir(var.size() + 1);
   for (unsigned i = 0; i < var.size(); ++i) {
     dir[i] = 1;
 
@@ -1578,14 +1576,14 @@ std::optional<SmallVector<Fraction, 8>> Simplex::getRationalSample() const {
     } else {
       // If the variable is in row position, its sample value is the
       // entry in the constant column divided by the denominator.
-      DynamicAPInt denom = tableau(u.pos, 0);
+      MPInt denom = tableau(u.pos, 0);
       sample.emplace_back(tableau(u.pos, 1), denom);
     }
   }
   return sample;
 }
 
-void LexSimplexBase::addInequality(ArrayRef<DynamicAPInt> coeffs) {
+void LexSimplexBase::addInequality(ArrayRef<MPInt> coeffs) {
   addRow(coeffs, /*makeRestricted=*/true);
 }
 
@@ -1610,7 +1608,7 @@ MaybeOptimum<SmallVector<Fraction, 8>> LexSimplex::getRationalSample() const {
 
     // If the variable is in row position, its sample value is the
     // entry in the constant column divided by the denominator.
-    DynamicAPInt denom = tableau(u.pos, 0);
+    MPInt denom = tableau(u.pos, 0);
     if (usingBigM)
       if (tableau(u.pos, 2) != denom)
         return OptimumKind::Unbounded;
@@ -1619,15 +1617,14 @@ MaybeOptimum<SmallVector<Fraction, 8>> LexSimplex::getRationalSample() const {
   return sample;
 }
 
-std::optional<SmallVector<DynamicAPInt, 8>>
-Simplex::getSamplePointIfIntegral() const {
+std::optional<SmallVector<MPInt, 8>> Simplex::getSamplePointIfIntegral() const {
   // If the tableau is empty, no sample point exists.
   if (empty)
     return {};
 
   // The value will always exist since the Simplex is non-empty.
   SmallVector<Fraction, 8> rationalSample = *getRationalSample();
-  SmallVector<DynamicAPInt, 8> integerSample;
+  SmallVector<MPInt, 8> integerSample;
   integerSample.reserve(var.size());
   for (const Fraction &coord : rationalSample) {
     // If the sample is non-integral, return std::nullopt.
@@ -1659,14 +1656,14 @@ class presburger::GBRSimplex {
   /// Add an equality dotProduct(dir, x - y) == 0.
   /// First pushes a snapshot for the current simplex state to the stack so
   /// that this can be rolled back later.
-  void addEqualityForDirection(ArrayRef<DynamicAPInt> dir) {
-    assert(llvm::any_of(dir, [](const DynamicAPInt &x) { return x != 0; }) &&
+  void addEqualityForDirection(ArrayRef<MPInt> dir) {
+    assert(llvm::any_of(dir, [](const MPInt &x) { return x != 0; }) &&
            "Direction passed is the zero vector!");
     snapshotStack.push_back(simplex.getSnapshot());
     simplex.addEquality(getCoeffsForDirection(dir));
   }
   /// Compute max(dotProduct(dir, x - y)).
-  Fraction computeWidth(ArrayRef<DynamicAPInt> dir) {
+  Fraction computeWidth(ArrayRef<MPInt> dir) {
     MaybeOptimum<Fraction> maybeWidth =
         simplex.computeOptimum(Direction::Up, getCoeffsForDirection(dir));
     assert(maybeWidth.isBounded() && "Width should be bounded!");
@@ -1675,9 +1672,9 @@ class presburger::GBRSimplex {
 
   /// Compute max(dotProduct(dir, x - y)) and save the dual variables for only
   /// the direction equalities to `dual`.
-  Fraction computeWidthAndDuals(ArrayRef<DynamicAPInt> dir,
-                                SmallVectorImpl<DynamicAPInt> &dual,
-                                DynamicAPInt &dualDenom) {
+  Fraction computeWidthAndDuals(ArrayRef<MPInt> dir,
+                                SmallVectorImpl<MPInt> &dual,
+                                MPInt &dualDenom) {
     // We can't just call into computeWidth or computeOptimum since we need to
     // access the state of the tableau after computing the optimum, and these
     // functions rollback the insertion of the objective function into the
@@ -1745,13 +1742,12 @@ class presburger::GBRSimplex {
   /// i.e.,   dir_1 * x_1 + dir_2 * x_2 + ... + dir_n * x_n
   ///       - dir_1 * y_1 - dir_2 * y_2 - ... - dir_n * y_n,
   /// where n is the dimension of the original polytope.
-  SmallVector<DynamicAPInt, 8>
-  getCoeffsForDirection(ArrayRef<DynamicAPInt> dir) {
+  SmallVector<MPInt, 8> getCoeffsForDirection(ArrayRef<MPInt> dir) {
     assert(2 * dir.size() == simplex.getNumVariables() &&
            "Direction vector has wrong dimensionality");
-    SmallVector<DynamicAPInt, 8> coeffs(dir.begin(), dir.end());
+    SmallVector<MPInt, 8> coeffs(dir.begin(), dir.end());
     coeffs.reserve(2 * dir.size());
-    for (const DynamicAPInt &coeff : dir)
+    for (const MPInt &coeff : dir)
       coeffs.push_back(-coeff);
     coeffs.emplace_back(0); // constant term
     return coeffs;
@@ -1828,8 +1824,8 @@ void Simplex::reduceBasis(IntMatrix &basis, unsigned level) {
 
   GBRSimplex gbrSimplex(*this);
   SmallVector<Fraction, 8> width;
-  SmallVector<DynamicAPInt, 8> dual;
-  DynamicAPInt dualDenom;
+  SmallVector<MPInt, 8> dual;
+  MPInt dualDenom;
 
   // Finds the value of u that minimizes width_i(b_{i+1} + u*b_i), caches the
   // duals from this computation, sets b_{i+1} to b_{i+1} + u*b_i, and returns
@@ -1852,11 +1848,11 @@ void Simplex::reduceBasis(IntMatrix &basis, unsigned level) {
   auto updateBasisWithUAndGetFCandidate = [&](unsigned i) -> Fraction {
     assert(i < level + dual.size() && "dual_i is not known!");
 
-    DynamicAPInt u = floorDiv(dual[i - level], dualDenom);
+    MPInt u = floorDiv(dual[i - level], dualDenom);
     basis.addToRow(i, i + 1, u);
     if (dual[i - level] % dualDenom != 0) {
-      SmallVector<DynamicAPInt, 8> candidateDual[2];
-      DynamicAPInt candidateDualDenom[2];
+      SmallVector<MPInt, 8> candidateDual[2];
+      MPInt candidateDualDenom[2];
       Fraction widthI[2];
 
       // Initially u is floor(dual) and basis reflects this.
@@ -1883,12 +1879,12 @@ void Simplex::reduceBasis(IntMatrix &basis, unsigned level) {
 
       // Check the value at u - 1.
       assert(gbrSimplex.computeWidth(scaleAndAddForAssert(
-                 basis.getRow(i + 1), DynamicAPInt(-1), basis.getRow(i))) >=
+                 basis.getRow(i + 1), MPInt(-1), basis.getRow(i))) >=
                  widthI[j] &&
              "Computed u value does not minimize the width!");
       // Check the value at u + 1.
       assert(gbrSimplex.computeWidth(scaleAndAddForAssert(
-                 basis.getRow(i + 1), DynamicAPInt(+1), basis.getRow(i))) >=
+                 basis.getRow(i + 1), MPInt(+1), basis.getRow(i))) >=
                  widthI[j] &&
              "Computed u value does not minimize the width!");
 
@@ -1989,7 +1985,7 @@ void Simplex::reduceBasis(IntMatrix &basis, unsigned level) {
 ///
 /// To avoid potentially arbitrarily large recursion depths leading to stack
 /// overflows, this algorithm is implemented iteratively.
-std::optional<SmallVector<DynamicAPInt, 8>> Simplex::findIntegerSample() {
+std::optional<SmallVector<MPInt, 8>> Simplex::findIntegerSample() {
   if (empty)
     return {};
 
@@ -2000,9 +1996,9 @@ std::optional<SmallVector<DynamicAPInt, 8>> Simplex::findIntegerSample() {
   // The snapshot just before constraining a direction to a value at each level.
   SmallVector<unsigned, 8> snapshotStack;
   // The maximum value in the range of the direction for each level.
-  SmallVector<DynamicAPInt, 8> upperBoundStack;
+  SmallVector<MPInt, 8> upperBoundStack;
   // The next value to try constraining the basis vector to at each level.
-  SmallVector<DynamicAPInt, 8> nextValueStack;
+  SmallVector<MPInt, 8> nextValueStack;
 
   snapshotStack.reserve(basis.getNumRows());
   upperBoundStack.reserve(basis.getNumRows());
@@ -2022,7 +2018,7 @@ std::optional<SmallVector<DynamicAPInt, 8>> Simplex::findIntegerSample() {
       // just come down a level ("recursed"). Find the lower and upper bounds.
       // If there is more than one integer point in the range, perform
       // generalized basis reduction.
-      SmallVector<DynamicAPInt, 8> basisCoeffs =
+      SmallVector<MPInt, 8> basisCoeffs =
           llvm::to_vector<8>(basis.getRow(level));
       basisCoeffs.emplace_back(0);
 
@@ -2074,7 +2070,7 @@ std::optional<SmallVector<DynamicAPInt, 8>> Simplex::findIntegerSample() {
     // to the snapshot of the starting state at this level. (in the "recursed"
     // case this has no effect)
     rollback(snapshotStack.back());
-    DynamicAPInt nextValue = nextValueStack.back();
+    MPInt nextValue = nextValueStack.back();
     ++nextValueStack.back();
     if (nextValue > upperBoundStack.back()) {
       // We have exhausted the range and found no solution. Pop the stack and
@@ -2087,8 +2083,8 @@ std::optional<SmallVector<DynamicAPInt, 8>> Simplex::findIntegerSample() {
     }
 
     // Try the next value in the range and "recurse" into the next level.
-    SmallVector<DynamicAPInt, 8> basisCoeffs(basis.getRow(level).begin(),
-                                             basis.getRow(level).end());
+    SmallVector<MPInt, 8> basisCoeffs(basis.getRow(level).begin(),
+                                      basis.getRow(level).end());
     basisCoeffs.push_back(-nextValue);
     addEquality(basisCoeffs);
     level++;
@@ -2099,16 +2095,16 @@ std::optional<SmallVector<DynamicAPInt, 8>> Simplex::findIntegerSample() {
 
 /// Compute the minimum and maximum integer values the expression can take. We
 /// compute each separately.
-std::pair<MaybeOptimum<DynamicAPInt>, MaybeOptimum<DynamicAPInt>>
-Simplex::computeIntegerBounds(ArrayRef<DynamicAPInt> coeffs) {
-  MaybeOptimum<DynamicAPInt> minRoundedUp(
+std::pair<MaybeOptimum<MPInt>, MaybeOptimum<MPInt>>
+Simplex::computeIntegerBounds(ArrayRef<MPInt> coeffs) {
+  MaybeOptimum<MPInt> minRoundedUp(
       computeOptimum(Simplex::Direction::Down, coeffs).map(ceil));
-  MaybeOptimum<DynamicAPInt> maxRoundedDown(
+  MaybeOptimum<MPInt> maxRoundedDown(
       computeOptimum(Simplex::Direction::Up, coeffs).map(floor));
   return {minRoundedUp, maxRoundedDown};
 }
 
-bool Simplex::isFlatAlong(ArrayRef<DynamicAPInt> coeffs) {
+bool Simplex::isFlatAlong(ArrayRef<MPInt> coeffs) {
   assert(!isEmpty() && "cannot check for flatness of empty simplex!");
   auto upOpt = computeOptimum(Simplex::Direction::Up, coeffs);
   auto downOpt = computeOptimum(Simplex::Direction::Down, coeffs);
@@ -2187,7 +2183,7 @@ bool Simplex::isRationalSubsetOf(const IntegerRelation &rel) {
 /// maximum satisfy it. Hence, it is a cut inequality. If both are < 0, no
 /// points of the polytope satisfy the inequality, which means it is a separate
 /// inequality.
-Simplex::IneqType Simplex::findIneqType(ArrayRef<DynamicAPInt> coeffs) {
+Simplex::IneqType Simplex::findIneqType(ArrayRef<MPInt> coeffs) {
   MaybeOptimum<Fraction> minimum = computeOptimum(Direction::Down, coeffs);
   if (minimum.isBounded() && *minimum >= Fraction(0, 1)) {
     return IneqType::Redundant;
@@ -2202,7 +2198,7 @@ Simplex::IneqType Simplex::findIneqType(ArrayRef<DynamicAPInt> coeffs) {
 
 /// Checks whether the type of the inequality with coefficients `coeffs`
 /// is Redundant.
-bool Simplex::isRedundantInequality(ArrayRef<DynamicAPInt> coeffs) {
+bool Simplex::isRedundantInequality(ArrayRef<MPInt> coeffs) {
   assert(!empty &&
          "It is not meaningful to ask about redundancy in an empty set!");
   return findIneqType(coeffs) == IneqType::Redundant;
@@ -2212,7 +2208,7 @@ bool Simplex::isRedundantInequality(ArrayRef<DynamicAPInt> coeffs) {
 /// the existing constraints. This is redundant when `coeffs` is already
 /// always zero under the existing constraints. `coeffs` is always zero
 /// when the minimum and maximum value that `coeffs` can take are both zero.
-bool Simplex::isRedundantEquality(ArrayRef<DynamicAPInt> coeffs) {
+bool Simplex::isRedundantEquality(ArrayRef<MPInt> coeffs) {
   assert(!empty &&
          "It is not meaningful to ask about redundancy in an empty set!");
   MaybeOptimum<Fraction> minimum = computeOptimum(Direction::Down, coeffs);

diff  --git a/mlir/lib/Analysis/Presburger/SlowMPInt.cpp b/mlir/lib/Analysis/Presburger/SlowMPInt.cpp
new file mode 100644
index 0000000000000..ae6f2827be926
--- /dev/null
+++ b/mlir/lib/Analysis/Presburger/SlowMPInt.cpp
@@ -0,0 +1,290 @@
+//===- SlowMPInt.cpp - MLIR SlowMPInt Class -------------------------------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+#include "mlir/Analysis/Presburger/SlowMPInt.h"
+#include "mlir/Support/LLVM.h"
+#include "llvm/ADT/APInt.h"
+#include "llvm/ADT/Hashing.h"
+#include "llvm/ADT/STLFunctionalExtras.h"
+#include "llvm/Support/raw_ostream.h"
+#include <algorithm>
+#include <cassert>
+#include <cstdint>
+#include <functional>
+
+using namespace mlir;
+using namespace presburger;
+using namespace detail;
+
+SlowMPInt::SlowMPInt(int64_t val) : val(64, val, /*isSigned=*/true) {}
+SlowMPInt::SlowMPInt() : SlowMPInt(0) {}
+SlowMPInt::SlowMPInt(const llvm::APInt &val) : val(val) {}
+SlowMPInt &SlowMPInt::operator=(int64_t val) { return *this = SlowMPInt(val); }
+SlowMPInt::operator int64_t() const { return val.getSExtValue(); }
+
+llvm::hash_code detail::hash_value(const SlowMPInt &x) {
+  return hash_value(x.val);
+}
+
+/// ---------------------------------------------------------------------------
+/// Printing.
+/// ---------------------------------------------------------------------------
+void SlowMPInt::print(llvm::raw_ostream &os) const { os << val; }
+
+void SlowMPInt::dump() const { print(llvm::errs()); }
+
+llvm::raw_ostream &detail::operator<<(llvm::raw_ostream &os,
+                                      const SlowMPInt &x) {
+  x.print(os);
+  return os;
+}
+
+/// ---------------------------------------------------------------------------
+/// Convenience operator overloads for int64_t.
+/// ---------------------------------------------------------------------------
+SlowMPInt &detail::operator+=(SlowMPInt &a, int64_t b) {
+  return a += SlowMPInt(b);
+}
+SlowMPInt &detail::operator-=(SlowMPInt &a, int64_t b) {
+  return a -= SlowMPInt(b);
+}
+SlowMPInt &detail::operator*=(SlowMPInt &a, int64_t b) {
+  return a *= SlowMPInt(b);
+}
+SlowMPInt &detail::operator/=(SlowMPInt &a, int64_t b) {
+  return a /= SlowMPInt(b);
+}
+SlowMPInt &detail::operator%=(SlowMPInt &a, int64_t b) {
+  return a %= SlowMPInt(b);
+}
+
+bool detail::operator==(const SlowMPInt &a, int64_t b) {
+  return a == SlowMPInt(b);
+}
+bool detail::operator!=(const SlowMPInt &a, int64_t b) {
+  return a != SlowMPInt(b);
+}
+bool detail::operator>(const SlowMPInt &a, int64_t b) {
+  return a > SlowMPInt(b);
+}
+bool detail::operator<(const SlowMPInt &a, int64_t b) {
+  return a < SlowMPInt(b);
+}
+bool detail::operator<=(const SlowMPInt &a, int64_t b) {
+  return a <= SlowMPInt(b);
+}
+bool detail::operator>=(const SlowMPInt &a, int64_t b) {
+  return a >= SlowMPInt(b);
+}
+SlowMPInt detail::operator+(const SlowMPInt &a, int64_t b) {
+  return a + SlowMPInt(b);
+}
+SlowMPInt detail::operator-(const SlowMPInt &a, int64_t b) {
+  return a - SlowMPInt(b);
+}
+SlowMPInt detail::operator*(const SlowMPInt &a, int64_t b) {
+  return a * SlowMPInt(b);
+}
+SlowMPInt detail::operator/(const SlowMPInt &a, int64_t b) {
+  return a / SlowMPInt(b);
+}
+SlowMPInt detail::operator%(const SlowMPInt &a, int64_t b) {
+  return a % SlowMPInt(b);
+}
+
+bool detail::operator==(int64_t a, const SlowMPInt &b) {
+  return SlowMPInt(a) == b;
+}
+bool detail::operator!=(int64_t a, const SlowMPInt &b) {
+  return SlowMPInt(a) != b;
+}
+bool detail::operator>(int64_t a, const SlowMPInt &b) {
+  return SlowMPInt(a) > b;
+}
+bool detail::operator<(int64_t a, const SlowMPInt &b) {
+  return SlowMPInt(a) < b;
+}
+bool detail::operator<=(int64_t a, const SlowMPInt &b) {
+  return SlowMPInt(a) <= b;
+}
+bool detail::operator>=(int64_t a, const SlowMPInt &b) {
+  return SlowMPInt(a) >= b;
+}
+SlowMPInt detail::operator+(int64_t a, const SlowMPInt &b) {
+  return SlowMPInt(a) + b;
+}
+SlowMPInt detail::operator-(int64_t a, const SlowMPInt &b) {
+  return SlowMPInt(a) - b;
+}
+SlowMPInt detail::operator*(int64_t a, const SlowMPInt &b) {
+  return SlowMPInt(a) * b;
+}
+SlowMPInt detail::operator/(int64_t a, const SlowMPInt &b) {
+  return SlowMPInt(a) / b;
+}
+SlowMPInt detail::operator%(int64_t a, const SlowMPInt &b) {
+  return SlowMPInt(a) % b;
+}
+
+static unsigned getMaxWidth(const APInt &a, const APInt &b) {
+  return std::max(a.getBitWidth(), b.getBitWidth());
+}
+
+/// ---------------------------------------------------------------------------
+/// Comparison operators.
+/// ---------------------------------------------------------------------------
+
+// TODO: consider instead making APInt::compare available and using that.
+bool SlowMPInt::operator==(const SlowMPInt &o) const {
+  unsigned width = getMaxWidth(val, o.val);
+  return val.sext(width) == o.val.sext(width);
+}
+bool SlowMPInt::operator!=(const SlowMPInt &o) const {
+  unsigned width = getMaxWidth(val, o.val);
+  return val.sext(width) != o.val.sext(width);
+}
+bool SlowMPInt::operator>(const SlowMPInt &o) const {
+  unsigned width = getMaxWidth(val, o.val);
+  return val.sext(width).sgt(o.val.sext(width));
+}
+bool SlowMPInt::operator<(const SlowMPInt &o) const {
+  unsigned width = getMaxWidth(val, o.val);
+  return val.sext(width).slt(o.val.sext(width));
+}
+bool SlowMPInt::operator<=(const SlowMPInt &o) const {
+  unsigned width = getMaxWidth(val, o.val);
+  return val.sext(width).sle(o.val.sext(width));
+}
+bool SlowMPInt::operator>=(const SlowMPInt &o) const {
+  unsigned width = getMaxWidth(val, o.val);
+  return val.sext(width).sge(o.val.sext(width));
+}
+
+/// ---------------------------------------------------------------------------
+/// Arithmetic operators.
+/// ---------------------------------------------------------------------------
+
+/// Bring a and b to have the same width and then call op(a, b, overflow).
+/// If the overflow bit becomes set, resize a and b to double the width and
+/// call op(a, b, overflow), returning its result. The operation with double
+/// widths should not also overflow.
+APInt runOpWithExpandOnOverflow(
+    const APInt &a, const APInt &b,
+    llvm::function_ref<APInt(const APInt &, const APInt &, bool &overflow)>
+        op) {
+  bool overflow;
+  unsigned width = getMaxWidth(a, b);
+  APInt ret = op(a.sext(width), b.sext(width), overflow);
+  if (!overflow)
+    return ret;
+
+  width *= 2;
+  ret = op(a.sext(width), b.sext(width), overflow);
+  assert(!overflow && "double width should be sufficient to avoid overflow!");
+  return ret;
+}
+
+SlowMPInt SlowMPInt::operator+(const SlowMPInt &o) const {
+  return SlowMPInt(
+      runOpWithExpandOnOverflow(val, o.val, std::mem_fn(&APInt::sadd_ov)));
+}
+SlowMPInt SlowMPInt::operator-(const SlowMPInt &o) const {
+  return SlowMPInt(
+      runOpWithExpandOnOverflow(val, o.val, std::mem_fn(&APInt::ssub_ov)));
+}
+SlowMPInt SlowMPInt::operator*(const SlowMPInt &o) const {
+  return SlowMPInt(
+      runOpWithExpandOnOverflow(val, o.val, std::mem_fn(&APInt::smul_ov)));
+}
+SlowMPInt SlowMPInt::operator/(const SlowMPInt &o) const {
+  return SlowMPInt(
+      runOpWithExpandOnOverflow(val, o.val, std::mem_fn(&APInt::sdiv_ov)));
+}
+SlowMPInt detail::abs(const SlowMPInt &x) { return x >= 0 ? x : -x; }
+SlowMPInt detail::ceilDiv(const SlowMPInt &lhs, const SlowMPInt &rhs) {
+  if (rhs == -1)
+    return -lhs;
+  unsigned width = getMaxWidth(lhs.val, rhs.val);
+  return SlowMPInt(llvm::APIntOps::RoundingSDiv(
+      lhs.val.sext(width), rhs.val.sext(width), APInt::Rounding::UP));
+}
+SlowMPInt detail::floorDiv(const SlowMPInt &lhs, const SlowMPInt &rhs) {
+  if (rhs == -1)
+    return -lhs;
+  unsigned width = getMaxWidth(lhs.val, rhs.val);
+  return SlowMPInt(llvm::APIntOps::RoundingSDiv(
+      lhs.val.sext(width), rhs.val.sext(width), APInt::Rounding::DOWN));
+}
+// The RHS is always expected to be positive, and the result
+/// is always non-negative.
+SlowMPInt detail::mod(const SlowMPInt &lhs, const SlowMPInt &rhs) {
+  assert(rhs >= 1 && "mod is only supported for positive divisors!");
+  return lhs % rhs < 0 ? lhs % rhs + rhs : lhs % rhs;
+}
+
+SlowMPInt detail::gcd(const SlowMPInt &a, const SlowMPInt &b) {
+  assert(a >= 0 && b >= 0 && "operands must be non-negative!");
+  unsigned width = getMaxWidth(a.val, b.val);
+  return SlowMPInt(llvm::APIntOps::GreatestCommonDivisor(a.val.sext(width),
+                                                         b.val.sext(width)));
+}
+
+/// Returns the least common multiple of 'a' and 'b'.
+SlowMPInt detail::lcm(const SlowMPInt &a, const SlowMPInt &b) {
+  SlowMPInt x = abs(a);
+  SlowMPInt y = abs(b);
+  return (x * y) / gcd(x, y);
+}
+
+/// This operation cannot overflow.
+SlowMPInt SlowMPInt::operator%(const SlowMPInt &o) const {
+  unsigned width = std::max(val.getBitWidth(), o.val.getBitWidth());
+  return SlowMPInt(val.sext(width).srem(o.val.sext(width)));
+}
+
+SlowMPInt SlowMPInt::operator-() const {
+  if (val.isMinSignedValue()) {
+    /// Overflow only occurs when the value is the minimum possible value.
+    APInt ret = val.sext(2 * val.getBitWidth());
+    return SlowMPInt(-ret);
+  }
+  return SlowMPInt(-val);
+}
+
+/// ---------------------------------------------------------------------------
+/// Assignment operators, preincrement, predecrement.
+/// ---------------------------------------------------------------------------
+SlowMPInt &SlowMPInt::operator+=(const SlowMPInt &o) {
+  *this = *this + o;
+  return *this;
+}
+SlowMPInt &SlowMPInt::operator-=(const SlowMPInt &o) {
+  *this = *this - o;
+  return *this;
+}
+SlowMPInt &SlowMPInt::operator*=(const SlowMPInt &o) {
+  *this = *this * o;
+  return *this;
+}
+SlowMPInt &SlowMPInt::operator/=(const SlowMPInt &o) {
+  *this = *this / o;
+  return *this;
+}
+SlowMPInt &SlowMPInt::operator%=(const SlowMPInt &o) {
+  *this = *this % o;
+  return *this;
+}
+SlowMPInt &SlowMPInt::operator++() {
+  *this += 1;
+  return *this;
+}
+
+SlowMPInt &SlowMPInt::operator--() {
+  *this -= 1;
+  return *this;
+}

diff  --git a/mlir/lib/Analysis/Presburger/Utils.cpp b/mlir/lib/Analysis/Presburger/Utils.cpp
index 1fab4c4dcca33..f717a4de5d728 100644
--- a/mlir/lib/Analysis/Presburger/Utils.cpp
+++ b/mlir/lib/Analysis/Presburger/Utils.cpp
@@ -12,6 +12,7 @@
 
 #include "mlir/Analysis/Presburger/Utils.h"
 #include "mlir/Analysis/Presburger/IntegerRelation.h"
+#include "mlir/Analysis/Presburger/MPInt.h"
 #include "mlir/Analysis/Presburger/PresburgerSpace.h"
 #include "mlir/Support/LLVM.h"
 #include "mlir/Support/LogicalResult.h"
@@ -30,20 +31,19 @@
 
 using namespace mlir;
 using namespace presburger;
-using llvm::dynamicAPIntFromInt64;
 
 /// Normalize a division's `dividend` and the `divisor` by their GCD. For
 /// example: if the dividend and divisor are [2,0,4] and 4 respectively,
 /// they get normalized to [1,0,2] and 2. The divisor must be non-negative;
 /// it is allowed for the divisor to be zero, but nothing is done in this case.
-static void normalizeDivisionByGCD(MutableArrayRef<DynamicAPInt> dividend,
-                                   DynamicAPInt &divisor) {
+static void normalizeDivisionByGCD(MutableArrayRef<MPInt> dividend,
+                                   MPInt &divisor) {
   assert(divisor > 0 && "divisor must be non-negative!");
   if (divisor == 0 || dividend.empty())
     return;
   // We take the absolute value of dividend's coefficients to make sure that
   // `gcd` is positive.
-  DynamicAPInt gcd = llvm::gcd(abs(dividend.front()), divisor);
+  MPInt gcd = presburger::gcd(abs(dividend.front()), divisor);
 
   // The reason for ignoring the constant term is as follows.
   // For a division:
@@ -53,14 +53,14 @@ static void normalizeDivisionByGCD(MutableArrayRef<DynamicAPInt> dividend,
   // Since `{a/m}/d` in the dividend satisfies 0 <= {a/m}/d < 1/d, it will not
   // influence the result of the floor division and thus, can be ignored.
   for (size_t i = 1, m = dividend.size() - 1; i < m; i++) {
-    gcd = llvm::gcd(abs(dividend[i]), gcd);
+    gcd = presburger::gcd(abs(dividend[i]), gcd);
     if (gcd == 1)
       return;
   }
 
   // Normalize the dividend and the denominator.
   std::transform(dividend.begin(), dividend.end(), dividend.begin(),
-                 [gcd](DynamicAPInt &n) { return floorDiv(n, gcd); });
+                 [gcd](MPInt &n) { return floorDiv(n, gcd); });
   divisor /= gcd;
 }
 
@@ -104,8 +104,7 @@ static void normalizeDivisionByGCD(MutableArrayRef<DynamicAPInt> dividend,
 /// The final division expression is normalized by GCD.
 static LogicalResult getDivRepr(const IntegerRelation &cst, unsigned pos,
                                 unsigned ubIneq, unsigned lbIneq,
-                                MutableArrayRef<DynamicAPInt> expr,
-                                DynamicAPInt &divisor) {
+                                MutableArrayRef<MPInt> expr, MPInt &divisor) {
 
   assert(pos <= cst.getNumVars() && "Invalid variable position");
   assert(ubIneq <= cst.getNumInequalities() &&
@@ -132,9 +131,9 @@ static LogicalResult getDivRepr(const IntegerRelation &cst, unsigned pos,
   // Then, check if the constant term is of the proper form.
   // Due to the form of the upper/lower bound inequalities, the sum of their
   // constants is `divisor - 1 - c`. From this, we can extract c:
-  DynamicAPInt constantSum = cst.atIneq(lbIneq, cst.getNumCols() - 1) +
-                             cst.atIneq(ubIneq, cst.getNumCols() - 1);
-  DynamicAPInt c = divisor - 1 - constantSum;
+  MPInt constantSum = cst.atIneq(lbIneq, cst.getNumCols() - 1) +
+                      cst.atIneq(ubIneq, cst.getNumCols() - 1);
+  MPInt c = divisor - 1 - constantSum;
 
   // Check if `c` satisfies the condition `0 <= c <= divisor - 1`.
   // This also implictly checks that `divisor` is positive.
@@ -169,9 +168,8 @@ static LogicalResult getDivRepr(const IntegerRelation &cst, unsigned pos,
 /// set to the denominator of the division. The final division expression is
 /// normalized by GCD.
 static LogicalResult getDivRepr(const IntegerRelation &cst, unsigned pos,
-                                unsigned eqInd,
-                                MutableArrayRef<DynamicAPInt> expr,
-                                DynamicAPInt &divisor) {
+                                unsigned eqInd, MutableArrayRef<MPInt> expr,
+                                MPInt &divisor) {
 
   assert(pos <= cst.getNumVars() && "Invalid variable position");
   assert(eqInd <= cst.getNumEqualities() && "Invalid equality position");
@@ -180,7 +178,7 @@ static LogicalResult getDivRepr(const IntegerRelation &cst, unsigned pos,
   // Extract divisor, the divisor can be negative and hence its sign information
   // is stored in `signDiv` to reverse the sign of dividend's coefficients.
   // Equality must involve the pos-th variable and hence `tempDiv` != 0.
-  DynamicAPInt tempDiv = cst.atEq(eqInd, pos);
+  MPInt tempDiv = cst.atEq(eqInd, pos);
   if (tempDiv == 0)
     return failure();
   int signDiv = tempDiv < 0 ? -1 : 1;
@@ -202,7 +200,7 @@ static LogicalResult getDivRepr(const IntegerRelation &cst, unsigned pos,
 // explicit representation has not been found yet, otherwise returns `true`.
 static bool checkExplicitRepresentation(const IntegerRelation &cst,
                                         ArrayRef<bool> foundRepr,
-                                        ArrayRef<DynamicAPInt> dividend,
+                                        ArrayRef<MPInt> dividend,
                                         unsigned pos) {
   // Exit to avoid circular dependencies between divisions.
   for (unsigned c = 0, e = cst.getNumVars(); c < e; ++c) {
@@ -231,9 +229,11 @@ static bool checkExplicitRepresentation(const IntegerRelation &cst,
 /// the representation could be computed, `dividend` and `denominator` are set.
 /// If the representation could not be computed, the kind attribute in
 /// `MaybeLocalRepr` is set to None.
-MaybeLocalRepr presburger::computeSingleVarRepr(
-    const IntegerRelation &cst, ArrayRef<bool> foundRepr, unsigned pos,
-    MutableArrayRef<DynamicAPInt> dividend, DynamicAPInt &divisor) {
+MaybeLocalRepr presburger::computeSingleVarRepr(const IntegerRelation &cst,
+                                                ArrayRef<bool> foundRepr,
+                                                unsigned pos,
+                                                MutableArrayRef<MPInt> dividend,
+                                                MPInt &divisor) {
   assert(pos < cst.getNumVars() && "invalid position");
   assert(foundRepr.size() == cst.getNumVars() &&
          "Size of foundRepr does not match total number of variables");
@@ -275,12 +275,12 @@ MaybeLocalRepr presburger::computeSingleVarRepr(
 MaybeLocalRepr presburger::computeSingleVarRepr(
     const IntegerRelation &cst, ArrayRef<bool> foundRepr, unsigned pos,
     SmallVector<int64_t, 8> &dividend, unsigned &divisor) {
-  SmallVector<DynamicAPInt, 8> dividendDynamicAPInt(cst.getNumCols());
-  DynamicAPInt divisorDynamicAPInt;
-  MaybeLocalRepr result = computeSingleVarRepr(
-      cst, foundRepr, pos, dividendDynamicAPInt, divisorDynamicAPInt);
-  dividend = getInt64Vec(dividendDynamicAPInt);
-  divisor = unsigned(int64_t(divisorDynamicAPInt));
+  SmallVector<MPInt, 8> dividendMPInt(cst.getNumCols());
+  MPInt divisorMPInt;
+  MaybeLocalRepr result =
+      computeSingleVarRepr(cst, foundRepr, pos, dividendMPInt, divisorMPInt);
+  dividend = getInt64Vec(dividendMPInt);
+  divisor = unsigned(int64_t(divisorMPInt));
   return result;
 }
 
@@ -318,86 +318,80 @@ void presburger::mergeLocalVars(
   divsA.removeDuplicateDivs(merge);
 }
 
-SmallVector<DynamicAPInt, 8>
-presburger::getDivUpperBound(ArrayRef<DynamicAPInt> dividend,
-                             const DynamicAPInt &divisor,
-                             unsigned localVarIdx) {
+SmallVector<MPInt, 8> presburger::getDivUpperBound(ArrayRef<MPInt> dividend,
+                                                   const MPInt &divisor,
+                                                   unsigned localVarIdx) {
   assert(divisor > 0 && "divisor must be positive!");
   assert(dividend[localVarIdx] == 0 &&
          "Local to be set to division must have zero coeff!");
-  SmallVector<DynamicAPInt, 8> ineq(dividend.begin(), dividend.end());
+  SmallVector<MPInt, 8> ineq(dividend.begin(), dividend.end());
   ineq[localVarIdx] = -divisor;
   return ineq;
 }
 
-SmallVector<DynamicAPInt, 8>
-presburger::getDivLowerBound(ArrayRef<DynamicAPInt> dividend,
-                             const DynamicAPInt &divisor,
-                             unsigned localVarIdx) {
+SmallVector<MPInt, 8> presburger::getDivLowerBound(ArrayRef<MPInt> dividend,
+                                                   const MPInt &divisor,
+                                                   unsigned localVarIdx) {
   assert(divisor > 0 && "divisor must be positive!");
   assert(dividend[localVarIdx] == 0 &&
          "Local to be set to division must have zero coeff!");
-  SmallVector<DynamicAPInt, 8> ineq(dividend.size());
+  SmallVector<MPInt, 8> ineq(dividend.size());
   std::transform(dividend.begin(), dividend.end(), ineq.begin(),
-                 std::negate<DynamicAPInt>());
+                 std::negate<MPInt>());
   ineq[localVarIdx] = divisor;
   ineq.back() += divisor - 1;
   return ineq;
 }
 
-DynamicAPInt presburger::gcdRange(ArrayRef<DynamicAPInt> range) {
-  DynamicAPInt gcd(0);
-  for (const DynamicAPInt &elem : range) {
-    gcd = llvm::gcd(gcd, abs(elem));
+MPInt presburger::gcdRange(ArrayRef<MPInt> range) {
+  MPInt gcd(0);
+  for (const MPInt &elem : range) {
+    gcd = presburger::gcd(gcd, abs(elem));
     if (gcd == 1)
       return gcd;
   }
   return gcd;
 }
 
-DynamicAPInt presburger::normalizeRange(MutableArrayRef<DynamicAPInt> range) {
-  DynamicAPInt gcd = gcdRange(range);
+MPInt presburger::normalizeRange(MutableArrayRef<MPInt> range) {
+  MPInt gcd = gcdRange(range);
   if ((gcd == 0) || (gcd == 1))
     return gcd;
-  for (DynamicAPInt &elem : range)
+  for (MPInt &elem : range)
     elem /= gcd;
   return gcd;
 }
 
-void presburger::normalizeDiv(MutableArrayRef<DynamicAPInt> num,
-                              DynamicAPInt &denom) {
+void presburger::normalizeDiv(MutableArrayRef<MPInt> num, MPInt &denom) {
   assert(denom > 0 && "denom must be positive!");
-  DynamicAPInt gcd = llvm::gcd(gcdRange(num), denom);
-  for (DynamicAPInt &coeff : num)
+  MPInt gcd = presburger::gcd(gcdRange(num), denom);
+  for (MPInt &coeff : num)
     coeff /= gcd;
   denom /= gcd;
 }
 
-SmallVector<DynamicAPInt, 8>
-presburger::getNegatedCoeffs(ArrayRef<DynamicAPInt> coeffs) {
-  SmallVector<DynamicAPInt, 8> negatedCoeffs;
+SmallVector<MPInt, 8> presburger::getNegatedCoeffs(ArrayRef<MPInt> coeffs) {
+  SmallVector<MPInt, 8> negatedCoeffs;
   negatedCoeffs.reserve(coeffs.size());
-  for (const DynamicAPInt &coeff : coeffs)
+  for (const MPInt &coeff : coeffs)
     negatedCoeffs.emplace_back(-coeff);
   return negatedCoeffs;
 }
 
-SmallVector<DynamicAPInt, 8>
-presburger::getComplementIneq(ArrayRef<DynamicAPInt> ineq) {
-  SmallVector<DynamicAPInt, 8> coeffs;
+SmallVector<MPInt, 8> presburger::getComplementIneq(ArrayRef<MPInt> ineq) {
+  SmallVector<MPInt, 8> coeffs;
   coeffs.reserve(ineq.size());
-  for (const DynamicAPInt &coeff : ineq)
+  for (const MPInt &coeff : ineq)
     coeffs.emplace_back(-coeff);
   --coeffs.back();
   return coeffs;
 }
 
-SmallVector<std::optional<DynamicAPInt>, 4>
-DivisionRepr::divValuesAt(ArrayRef<DynamicAPInt> point) const {
+SmallVector<std::optional<MPInt>, 4>
+DivisionRepr::divValuesAt(ArrayRef<MPInt> point) const {
   assert(point.size() == getNumNonDivs() && "Incorrect point size");
 
-  SmallVector<std::optional<DynamicAPInt>, 4> divValues(getNumDivs(),
-                                                        std::nullopt);
+  SmallVector<std::optional<MPInt>, 4> divValues(getNumDivs(), std::nullopt);
   bool changed = true;
   while (changed) {
     changed = false;
@@ -406,8 +400,8 @@ DivisionRepr::divValuesAt(ArrayRef<DynamicAPInt> point) const {
       if (divValues[i])
         continue;
 
-      ArrayRef<DynamicAPInt> dividend = getDividend(i);
-      DynamicAPInt divVal(0);
+      ArrayRef<MPInt> dividend = getDividend(i);
+      MPInt divVal(0);
 
       // Check if we have all the division values required for this division.
       unsigned j, f;
@@ -496,8 +490,8 @@ void DivisionRepr::normalizeDivs() {
   }
 }
 
-void DivisionRepr::insertDiv(unsigned pos, ArrayRef<DynamicAPInt> dividend,
-                             const DynamicAPInt &divisor) {
+void DivisionRepr::insertDiv(unsigned pos, ArrayRef<MPInt> dividend,
+                             const MPInt &divisor) {
   assert(pos <= getNumDivs() && "Invalid insertion position");
   assert(dividend.size() == getNumVars() + 1 && "Incorrect dividend size");
 
@@ -510,32 +504,29 @@ void DivisionRepr::insertDiv(unsigned pos, unsigned num) {
   assert(pos <= getNumDivs() && "Invalid insertion position");
   dividends.insertColumns(getDivOffset() + pos, num);
   dividends.insertRows(pos, num);
-  denoms.insert(denoms.begin() + pos, num, DynamicAPInt(0));
+  denoms.insert(denoms.begin() + pos, num, MPInt(0));
 }
 
 void DivisionRepr::print(raw_ostream &os) const {
   os << "Dividends:\n";
   dividends.print(os);
   os << "Denominators\n";
-  for (const DynamicAPInt &denom : denoms)
+  for (const MPInt &denom : denoms)
     os << denom << " ";
   os << "\n";
 }
 
 void DivisionRepr::dump() const { print(llvm::errs()); }
 
-SmallVector<DynamicAPInt, 8>
-presburger::getDynamicAPIntVec(ArrayRef<int64_t> range) {
-  SmallVector<DynamicAPInt, 8> result(range.size());
-  std::transform(range.begin(), range.end(), result.begin(),
-                 dynamicAPIntFromInt64);
+SmallVector<MPInt, 8> presburger::getMPIntVec(ArrayRef<int64_t> range) {
+  SmallVector<MPInt, 8> result(range.size());
+  std::transform(range.begin(), range.end(), result.begin(), mpintFromInt64);
   return result;
 }
 
-SmallVector<int64_t, 8> presburger::getInt64Vec(ArrayRef<DynamicAPInt> range) {
+SmallVector<int64_t, 8> presburger::getInt64Vec(ArrayRef<MPInt> range) {
   SmallVector<int64_t, 8> result(range.size());
-  std::transform(range.begin(), range.end(), result.begin(),
-                 int64fromDynamicAPInt);
+  std::transform(range.begin(), range.end(), result.begin(), int64FromMPInt);
   return result;
 }
 

diff  --git a/mlir/unittests/Analysis/Presburger/CMakeLists.txt b/mlir/unittests/Analysis/Presburger/CMakeLists.txt
index b69f514711337..c98668f63fa5d 100644
--- a/mlir/unittests/Analysis/Presburger/CMakeLists.txt
+++ b/mlir/unittests/Analysis/Presburger/CMakeLists.txt
@@ -6,6 +6,7 @@ add_mlir_unittest(MLIRPresburgerTests
   IntegerRelationTest.cpp
   LinearTransformTest.cpp
   MatrixTest.cpp
+  MPIntTest.cpp
   Parser.h
   ParserTest.cpp
   PresburgerSetTest.cpp

diff  --git a/mlir/unittests/Analysis/Presburger/FractionTest.cpp b/mlir/unittests/Analysis/Presburger/FractionTest.cpp
index c9fad953dacd5..5fee9de1994c8 100644
--- a/mlir/unittests/Analysis/Presburger/FractionTest.cpp
+++ b/mlir/unittests/Analysis/Presburger/FractionTest.cpp
@@ -8,7 +8,7 @@ using namespace presburger;
 
 TEST(FractionTest, getAsInteger) {
   Fraction f(3, 1);
-  EXPECT_EQ(f.getAsInteger(), DynamicAPInt(3));
+  EXPECT_EQ(f.getAsInteger(), MPInt(3));
 }
 
 TEST(FractionTest, nearIntegers) {

diff  --git a/mlir/unittests/Analysis/Presburger/IntegerPolyhedronTest.cpp b/mlir/unittests/Analysis/Presburger/IntegerPolyhedronTest.cpp
index f64bb240b4ee4..ba035e84ff1fd 100644
--- a/mlir/unittests/Analysis/Presburger/IntegerPolyhedronTest.cpp
+++ b/mlir/unittests/Analysis/Presburger/IntegerPolyhedronTest.cpp
@@ -41,8 +41,8 @@ makeSetFromConstraints(unsigned ids, ArrayRef<SmallVector<int64_t, 4>> ineqs,
   return set;
 }
 
-static void dump(ArrayRef<DynamicAPInt> vec) {
-  for (const DynamicAPInt &x : vec)
+static void dump(ArrayRef<MPInt> vec) {
+  for (const MPInt &x : vec)
     llvm::errs() << x << ' ';
   llvm::errs() << '\n';
 }
@@ -60,8 +60,8 @@ static void dump(ArrayRef<DynamicAPInt> vec) {
 /// opposite of hasSample.
 static void checkSample(bool hasSample, const IntegerPolyhedron &poly,
                         TestFunction fn = TestFunction::Sample) {
-  std::optional<SmallVector<DynamicAPInt, 8>> maybeSample;
-  MaybeOptimum<SmallVector<DynamicAPInt, 8>> maybeLexMin;
+  std::optional<SmallVector<MPInt, 8>> maybeSample;
+  MaybeOptimum<SmallVector<MPInt, 8>> maybeLexMin;
   switch (fn) {
   case TestFunction::Sample:
     maybeSample = poly.findIntegerSample();
@@ -585,12 +585,10 @@ TEST(IntegerPolyhedronTest, removeRedundantConstraintsTest) {
   // y >= 128x >= 0.
   poly5.removeRedundantConstraints();
   EXPECT_EQ(poly5.getNumInequalities(), 3u);
-  SmallVector<DynamicAPInt, 8> redundantConstraint =
-      getDynamicAPIntVec({0, 1, 0});
+  SmallVector<MPInt, 8> redundantConstraint = getMPIntVec({0, 1, 0});
   for (unsigned i = 0; i < 3; ++i) {
     // Ensure that the removed constraint was the redundant constraint [3].
-    EXPECT_NE(poly5.getInequality(i),
-              ArrayRef<DynamicAPInt>(redundantConstraint));
+    EXPECT_NE(poly5.getInequality(i), ArrayRef<MPInt>(redundantConstraint));
   }
 }
 
@@ -633,7 +631,7 @@ static void checkDivisionRepresentation(
   DivisionRepr divs = poly.getLocalReprs();
 
   // Check that the `denominators` and `expectedDenominators` match.
-  EXPECT_EQ(ArrayRef<DynamicAPInt>(getDynamicAPIntVec(expectedDenominators)),
+  EXPECT_EQ(ArrayRef<MPInt>(getMPIntVec(expectedDenominators)),
             divs.getDenoms());
 
   // Check that the `dividends` and `expectedDividends` match. If the
@@ -1168,9 +1166,9 @@ TEST(IntegerPolyhedronTest, findRationalLexMin) {
 }
 
 void expectIntegerLexMin(const IntegerPolyhedron &poly, ArrayRef<int64_t> min) {
-  MaybeOptimum<SmallVector<DynamicAPInt, 8>> lexMin = poly.findIntegerLexMin();
+  MaybeOptimum<SmallVector<MPInt, 8>> lexMin = poly.findIntegerLexMin();
   ASSERT_TRUE(lexMin.isBounded());
-  EXPECT_EQ(*lexMin, getDynamicAPIntVec(min));
+  EXPECT_EQ(*lexMin, getMPIntVec(min));
 }
 
 void expectNoIntegerLexMin(OptimumKind kind, const IntegerPolyhedron &poly) {
@@ -1465,7 +1463,7 @@ TEST(IntegerPolyhedronTest, computeVolume) {
 
 bool containsPointNoLocal(const IntegerPolyhedron &poly,
                           ArrayRef<int64_t> point) {
-  return poly.containsPointNoLocal(getDynamicAPIntVec(point)).has_value();
+  return poly.containsPointNoLocal(getMPIntVec(point)).has_value();
 }
 
 TEST(IntegerPolyhedronTest, containsPointNoLocal) {

diff  --git a/mlir/unittests/Analysis/Presburger/LinearTransformTest.cpp b/mlir/unittests/Analysis/Presburger/LinearTransformTest.cpp
index 388ac1174dcdc..721d1fd6e2535 100644
--- a/mlir/unittests/Analysis/Presburger/LinearTransformTest.cpp
+++ b/mlir/unittests/Analysis/Presburger/LinearTransformTest.cpp
@@ -23,8 +23,7 @@ void testColumnEchelonForm(const IntMatrix &m, unsigned expectedRank) {
   // In column echelon form, each row's last non-zero value can be at most one
   // column to the right of the last non-zero column among the previous rows.
   for (unsigned row = 0, nRows = m.getNumRows(); row < nRows; ++row) {
-    SmallVector<DynamicAPInt, 8> rowVec =
-        transform.preMultiplyWithRow(m.getRow(row));
+    SmallVector<MPInt, 8> rowVec = transform.preMultiplyWithRow(m.getRow(row));
     for (unsigned col = lastAllowedNonZeroCol + 1, nCols = m.getNumColumns();
          col < nCols; ++col) {
       EXPECT_EQ(rowVec[col], 0);

diff  --git a/mlir/unittests/Analysis/Presburger/MPIntTest.cpp b/mlir/unittests/Analysis/Presburger/MPIntTest.cpp
new file mode 100644
index 0000000000000..3c145d39352c3
--- /dev/null
+++ b/mlir/unittests/Analysis/Presburger/MPIntTest.cpp
@@ -0,0 +1,200 @@
+//===- MPIntTest.cpp - Tests for MPInt ------------------------------------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+#include "mlir/Analysis/Presburger/MPInt.h"
+#include "mlir/Analysis/Presburger/SlowMPInt.h"
+#include <gmock/gmock.h>
+#include <gtest/gtest.h>
+
+using namespace mlir;
+using namespace presburger;
+
+// googletest boilerplate to run the same tests with both MPInt and SlowMPInt.
+template <typename>
+class IntTest : public testing::Test {};
+using TypeList = testing::Types<MPInt, detail::SlowMPInt>;
+// This is for pretty-printing the test name with the name of the class in use.
+class TypeNames {
+public:
+  template <typename T>
+  static std::string GetName(int) { // NOLINT; gtest mandates this name.
+    if (std::is_same<T, MPInt>())
+      return "MPInt";
+    if (std::is_same<T, detail::SlowMPInt>())
+      return "SlowMPInt";
+    llvm_unreachable("Unknown class!");
+  }
+};
+TYPED_TEST_SUITE(IntTest, TypeList, TypeNames);
+
+TYPED_TEST(IntTest, ops) {
+  TypeParam two(2), five(5), seven(7), ten(10);
+  EXPECT_EQ(five + five, ten);
+  EXPECT_EQ(five * five, 2 * ten + five);
+  EXPECT_EQ(five * five, 3 * ten - five);
+  EXPECT_EQ(five * two, ten);
+  EXPECT_EQ(five / two, two);
+  EXPECT_EQ(five % two, two / two);
+
+  EXPECT_EQ(-ten % seven, -10 % 7);
+  EXPECT_EQ(ten % -seven, 10 % -7);
+  EXPECT_EQ(-ten % -seven, -10 % -7);
+  EXPECT_EQ(ten % seven, 10 % 7);
+
+  EXPECT_EQ(-ten / seven, -10 / 7);
+  EXPECT_EQ(ten / -seven, 10 / -7);
+  EXPECT_EQ(-ten / -seven, -10 / -7);
+  EXPECT_EQ(ten / seven, 10 / 7);
+
+  TypeParam x = ten;
+  x += five;
+  EXPECT_EQ(x, 15);
+  x *= two;
+  EXPECT_EQ(x, 30);
+  x /= seven;
+  EXPECT_EQ(x, 4);
+  x -= two * 10;
+  EXPECT_EQ(x, -16);
+  x *= 2 * two;
+  EXPECT_EQ(x, -64);
+  x /= two / -2;
+  EXPECT_EQ(x, 64);
+
+  EXPECT_LE(ten, ten);
+  EXPECT_GE(ten, ten);
+  EXPECT_EQ(ten, ten);
+  EXPECT_FALSE(ten != ten);
+  EXPECT_FALSE(ten < ten);
+  EXPECT_FALSE(ten > ten);
+  EXPECT_LT(five, ten);
+  EXPECT_GT(ten, five);
+}
+
+TYPED_TEST(IntTest, ops64Overloads) {
+  TypeParam two(2), five(5), seven(7), ten(10);
+  EXPECT_EQ(five + 5, ten);
+  EXPECT_EQ(five + 5, 5 + five);
+  EXPECT_EQ(five * 5, 2 * ten + 5);
+  EXPECT_EQ(five * 5, 3 * ten - 5);
+  EXPECT_EQ(five * two, ten);
+  EXPECT_EQ(5 / two, 2);
+  EXPECT_EQ(five / 2, 2);
+  EXPECT_EQ(2 % two, 0);
+  EXPECT_EQ(2 - two, 0);
+  EXPECT_EQ(2 % two, two % 2);
+
+  TypeParam x = ten;
+  x += 5;
+  EXPECT_EQ(x, 15);
+  x *= 2;
+  EXPECT_EQ(x, 30);
+  x /= 7;
+  EXPECT_EQ(x, 4);
+  x -= 20;
+  EXPECT_EQ(x, -16);
+  x *= 4;
+  EXPECT_EQ(x, -64);
+  x /= -1;
+  EXPECT_EQ(x, 64);
+
+  EXPECT_LE(ten, 10);
+  EXPECT_GE(ten, 10);
+  EXPECT_EQ(ten, 10);
+  EXPECT_FALSE(ten != 10);
+  EXPECT_FALSE(ten < 10);
+  EXPECT_FALSE(ten > 10);
+  EXPECT_LT(five, 10);
+  EXPECT_GT(ten, 5);
+
+  EXPECT_LE(10, ten);
+  EXPECT_GE(10, ten);
+  EXPECT_EQ(10, ten);
+  EXPECT_FALSE(10 != ten);
+  EXPECT_FALSE(10 < ten);
+  EXPECT_FALSE(10 > ten);
+  EXPECT_LT(5, ten);
+  EXPECT_GT(10, five);
+}
+
+TYPED_TEST(IntTest, overflows) {
+  TypeParam x(1ll << 60);
+  EXPECT_EQ((x * x - x * x * x * x) / (x * x * x), 1 - (1ll << 60));
+  TypeParam y(1ll << 62);
+  EXPECT_EQ((y + y + y + y + y + y) / y, 6);
+  EXPECT_EQ(-(2 * (-y)), 2 * y); // -(-2^63) overflow.
+  x *= x;
+  EXPECT_EQ(x, (y * y) / 16);
+  y += y;
+  y += y;
+  y += y;
+  y /= 8;
+  EXPECT_EQ(y, 1ll << 62);
+
+  TypeParam min(std::numeric_limits<int64_t>::min());
+  TypeParam one(1);
+  EXPECT_EQ(floorDiv(min, -one), -min);
+  EXPECT_EQ(ceilDiv(min, -one), -min);
+  EXPECT_EQ(abs(min), -min);
+
+  TypeParam z = min;
+  z /= -1;
+  EXPECT_EQ(z, -min);
+  TypeParam w(min);
+  --w;
+  EXPECT_EQ(w, TypeParam(min) - 1);
+  TypeParam u(min);
+  u -= 1;
+  EXPECT_EQ(u, w);
+
+  TypeParam max(std::numeric_limits<int64_t>::max());
+  TypeParam v = max;
+  ++v;
+  EXPECT_EQ(v, max + 1);
+  TypeParam t = max;
+  t += 1;
+  EXPECT_EQ(t, v);
+}
+
+TYPED_TEST(IntTest, floorCeilModAbsLcmGcd) {
+  TypeParam x(1ll << 50), one(1), two(2), three(3);
+
+  // Run on small values and large values.
+  for (const TypeParam &y : {x, x * x}) {
+    EXPECT_EQ(floorDiv(3 * y, three), y);
+    EXPECT_EQ(ceilDiv(3 * y, three), y);
+    EXPECT_EQ(floorDiv(3 * y - 1, three), y - 1);
+    EXPECT_EQ(ceilDiv(3 * y - 1, three), y);
+    EXPECT_EQ(floorDiv(3 * y - 2, three), y - 1);
+    EXPECT_EQ(ceilDiv(3 * y - 2, three), y);
+
+    EXPECT_EQ(mod(3 * y, three), 0);
+    EXPECT_EQ(mod(3 * y + 1, three), one);
+    EXPECT_EQ(mod(3 * y + 2, three), two);
+
+    EXPECT_EQ(floorDiv(3 * y, y), 3);
+    EXPECT_EQ(ceilDiv(3 * y, y), 3);
+    EXPECT_EQ(floorDiv(3 * y - 1, y), 2);
+    EXPECT_EQ(ceilDiv(3 * y - 1, y), 3);
+    EXPECT_EQ(floorDiv(3 * y - 2, y), 2);
+    EXPECT_EQ(ceilDiv(3 * y - 2, y), 3);
+
+    EXPECT_EQ(mod(3 * y, y), 0);
+    EXPECT_EQ(mod(3 * y + 1, y), 1);
+    EXPECT_EQ(mod(3 * y + 2, y), 2);
+
+    EXPECT_EQ(abs(y), y);
+    EXPECT_EQ(abs(-y), y);
+
+    EXPECT_EQ(gcd(3 * y, three), three);
+    EXPECT_EQ(lcm(y, three), 3 * y);
+    EXPECT_EQ(gcd(2 * y, 3 * y), y);
+    EXPECT_EQ(lcm(2 * y, 3 * y), 6 * y);
+    EXPECT_EQ(gcd(15 * y, 6 * y), 3 * y);
+    EXPECT_EQ(lcm(15 * y, 6 * y), 30 * y);
+  }
+}

diff  --git a/mlir/unittests/Analysis/Presburger/MatrixTest.cpp b/mlir/unittests/Analysis/Presburger/MatrixTest.cpp
index cb8df8b346011..fa1f32970b146 100644
--- a/mlir/unittests/Analysis/Presburger/MatrixTest.cpp
+++ b/mlir/unittests/Analysis/Presburger/MatrixTest.cpp
@@ -317,7 +317,7 @@ TEST(MatrixTest, intInverse) {
 
   mat = makeIntMatrix(2, 2, {{0, 0}, {1, 2}});
 
-  DynamicAPInt det = mat.determinant(&inv);
+  MPInt det = mat.determinant(&inv);
 
   EXPECT_EQ(det, 0);
 }

diff  --git a/mlir/unittests/Analysis/Presburger/SimplexTest.cpp b/mlir/unittests/Analysis/Presburger/SimplexTest.cpp
index 63d0243808555..2f4fa27138914 100644
--- a/mlir/unittests/Analysis/Presburger/SimplexTest.cpp
+++ b/mlir/unittests/Analysis/Presburger/SimplexTest.cpp
@@ -21,26 +21,26 @@ using namespace presburger;
 
 /// Convenience functions to pass literals to Simplex.
 void addInequality(SimplexBase &simplex, ArrayRef<int64_t> coeffs) {
-  simplex.addInequality(getDynamicAPIntVec(coeffs));
+  simplex.addInequality(getMPIntVec(coeffs));
 }
 void addEquality(SimplexBase &simplex, ArrayRef<int64_t> coeffs) {
-  simplex.addEquality(getDynamicAPIntVec(coeffs));
+  simplex.addEquality(getMPIntVec(coeffs));
 }
 bool isRedundantInequality(Simplex &simplex, ArrayRef<int64_t> coeffs) {
-  return simplex.isRedundantInequality(getDynamicAPIntVec(coeffs));
+  return simplex.isRedundantInequality(getMPIntVec(coeffs));
 }
 bool isRedundantInequality(LexSimplex &simplex, ArrayRef<int64_t> coeffs) {
-  return simplex.isRedundantInequality(getDynamicAPIntVec(coeffs));
+  return simplex.isRedundantInequality(getMPIntVec(coeffs));
 }
 bool isRedundantEquality(Simplex &simplex, ArrayRef<int64_t> coeffs) {
-  return simplex.isRedundantEquality(getDynamicAPIntVec(coeffs));
+  return simplex.isRedundantEquality(getMPIntVec(coeffs));
 }
 bool isSeparateInequality(LexSimplex &simplex, ArrayRef<int64_t> coeffs) {
-  return simplex.isSeparateInequality(getDynamicAPIntVec(coeffs));
+  return simplex.isSeparateInequality(getMPIntVec(coeffs));
 }
 
 Simplex::IneqType findIneqType(Simplex &simplex, ArrayRef<int64_t> coeffs) {
-  return simplex.findIneqType(getDynamicAPIntVec(coeffs));
+  return simplex.findIneqType(getMPIntVec(coeffs));
 }
 
 /// Take a snapshot, add constraints making the set empty, and rollback.
@@ -433,8 +433,8 @@ TEST(SimplexTest, pivotRedundantRegressionTest) {
   // After the rollback, the only remaining constraint is x <= -1.
   // The maximum value of x should be -1.
   simplex.rollback(snapshot);
-  MaybeOptimum<Fraction> maxX = simplex.computeOptimum(
-      Simplex::Direction::Up, getDynamicAPIntVec({1, 0, 0}));
+  MaybeOptimum<Fraction> maxX =
+      simplex.computeOptimum(Simplex::Direction::Up, getMPIntVec({1, 0, 0}));
   EXPECT_TRUE(maxX.isBounded() && *maxX == Fraction(-1, 1));
 }
 
@@ -467,9 +467,9 @@ TEST(SimplexTest, appendVariable) {
 
   EXPECT_EQ(simplex.getNumVariables(), 2u);
   EXPECT_EQ(simplex.getNumConstraints(), 2u);
-  EXPECT_EQ(simplex.computeIntegerBounds(getDynamicAPIntVec({0, 1, 0})),
-            std::make_pair(MaybeOptimum<DynamicAPInt>(DynamicAPInt(yMin)),
-                           MaybeOptimum<DynamicAPInt>(DynamicAPInt(yMax))));
+  EXPECT_EQ(simplex.computeIntegerBounds(getMPIntVec({0, 1, 0})),
+            std::make_pair(MaybeOptimum<MPInt>(MPInt(yMin)),
+                           MaybeOptimum<MPInt>(MPInt(yMax))));
 
   simplex.rollback(snapshot1);
   EXPECT_EQ(simplex.getNumVariables(), 1u);
@@ -569,11 +569,10 @@ TEST(SimplexTest, IsRationalSubsetOf) {
 
 TEST(SimplexTest, addDivisionVariable) {
   Simplex simplex(/*nVar=*/1);
-  simplex.addDivisionVariable(getDynamicAPIntVec({1, 0}), DynamicAPInt(2));
+  simplex.addDivisionVariable(getMPIntVec({1, 0}), MPInt(2));
   addInequality(simplex, {1, 0, -3}); // x >= 3.
   addInequality(simplex, {-1, 0, 9}); // x <= 9.
-  std::optional<SmallVector<DynamicAPInt, 8>> sample =
-      simplex.findIntegerSample();
+  std::optional<SmallVector<MPInt, 8>> sample = simplex.findIntegerSample();
   ASSERT_TRUE(sample.has_value());
   EXPECT_EQ((*sample)[0] / 2, (*sample)[1]);
 }

diff  --git a/mlir/unittests/Analysis/Presburger/Utils.h b/mlir/unittests/Analysis/Presburger/Utils.h
index ef4429b5c6bc8..6b00898a7e274 100644
--- a/mlir/unittests/Analysis/Presburger/Utils.h
+++ b/mlir/unittests/Analysis/Presburger/Utils.h
@@ -28,7 +28,6 @@
 
 namespace mlir {
 namespace presburger {
-using llvm::dynamicAPIntFromInt64;
 
 inline IntMatrix makeIntMatrix(unsigned numRow, unsigned numColumns,
                                ArrayRef<SmallVector<int, 8>> matrix) {
@@ -38,7 +37,7 @@ inline IntMatrix makeIntMatrix(unsigned numRow, unsigned numColumns,
     assert(matrix[i].size() == numColumns &&
            "Output expression has incorrect dimensionality!");
     for (unsigned j = 0; j < numColumns; ++j)
-      results(i, j) = DynamicAPInt(matrix[i][j]);
+      results(i, j) = MPInt(matrix[i][j]);
   }
   return results;
 }
@@ -131,8 +130,8 @@ inline void EXPECT_EQ_REPR_QUASIPOLYNOMIAL(QuasiPolynomial a,
 
 /// lhs and rhs represent non-negative integers or positive infinity. The
 /// infinity case corresponds to when the Optional is empty.
-inline bool infinityOrUInt64LE(std::optional<DynamicAPInt> lhs,
-                               std::optional<DynamicAPInt> rhs) {
+inline bool infinityOrUInt64LE(std::optional<MPInt> lhs,
+                               std::optional<MPInt> rhs) {
   // No constraint.
   if (!rhs)
     return true;
@@ -146,9 +145,9 @@ inline bool infinityOrUInt64LE(std::optional<DynamicAPInt> lhs,
 /// the true volume `trueVolume`, while also being at least as good an
 /// approximation as `resultBound`.
 inline void expectComputedVolumeIsValidOverapprox(
-    const std::optional<DynamicAPInt> &computedVolume,
-    const std::optional<DynamicAPInt> &trueVolume,
-    const std::optional<DynamicAPInt> &resultBound) {
+    const std::optional<MPInt> &computedVolume,
+    const std::optional<MPInt> &trueVolume,
+    const std::optional<MPInt> &resultBound) {
   assert(infinityOrUInt64LE(trueVolume, resultBound) &&
          "can't expect result to be less than the true volume");
   EXPECT_TRUE(infinityOrUInt64LE(trueVolume, computedVolume));
@@ -156,12 +155,11 @@ inline void expectComputedVolumeIsValidOverapprox(
 }
 
 inline void expectComputedVolumeIsValidOverapprox(
-    const std::optional<DynamicAPInt> &computedVolume,
+    const std::optional<MPInt> &computedVolume,
     std::optional<int64_t> trueVolume, std::optional<int64_t> resultBound) {
   expectComputedVolumeIsValidOverapprox(
-      computedVolume,
-      llvm::transformOptional(trueVolume, dynamicAPIntFromInt64),
-      llvm::transformOptional(resultBound, dynamicAPIntFromInt64));
+      computedVolume, llvm::transformOptional(trueVolume, mpintFromInt64),
+      llvm::transformOptional(resultBound, mpintFromInt64));
 }
 
 } // namespace presburger

diff  --git a/mlir/unittests/Analysis/Presburger/UtilsTest.cpp b/mlir/unittests/Analysis/Presburger/UtilsTest.cpp
index d91a0f2da9cee..f09a1a760ce60 100644
--- a/mlir/unittests/Analysis/Presburger/UtilsTest.cpp
+++ b/mlir/unittests/Analysis/Presburger/UtilsTest.cpp
@@ -14,10 +14,9 @@
 using namespace mlir;
 using namespace presburger;
 
-static DivisionRepr
-parseDivisionRepr(unsigned numVars, unsigned numDivs,
-                  ArrayRef<ArrayRef<DynamicAPInt>> dividends,
-                  ArrayRef<DynamicAPInt> divisors) {
+static DivisionRepr parseDivisionRepr(unsigned numVars, unsigned numDivs,
+                                      ArrayRef<ArrayRef<MPInt>> dividends,
+                                      ArrayRef<MPInt> divisors) {
   DivisionRepr repr(numVars, numDivs);
   for (unsigned i = 0, rows = dividends.size(); i < rows; ++i)
     repr.setDiv(i, dividends[i], divisors[i]);
@@ -38,15 +37,12 @@ static void checkEqual(DivisionRepr &a, DivisionRepr &b) {
 
 TEST(UtilsTest, ParseAndCompareDivisionReprTest) {
   auto merge = [](unsigned i, unsigned j) -> bool { return true; };
-  DivisionRepr a = parseDivisionRepr(1, 1, {{DynamicAPInt(1), DynamicAPInt(2)}},
-                                     {DynamicAPInt(2)}),
-               b = parseDivisionRepr(1, 1, {{DynamicAPInt(1), DynamicAPInt(2)}},
-                                     {DynamicAPInt(2)}),
-               c = parseDivisionRepr(
-                   2, 2,
-                   {{DynamicAPInt(0), DynamicAPInt(1), DynamicAPInt(2)},
-                    {DynamicAPInt(0), DynamicAPInt(1), DynamicAPInt(2)}},
-                   {DynamicAPInt(2), DynamicAPInt(2)});
+  DivisionRepr a = parseDivisionRepr(1, 1, {{MPInt(1), MPInt(2)}}, {MPInt(2)}),
+               b = parseDivisionRepr(1, 1, {{MPInt(1), MPInt(2)}}, {MPInt(2)}),
+               c = parseDivisionRepr(2, 2,
+                                     {{MPInt(0), MPInt(1), MPInt(2)},
+                                      {MPInt(0), MPInt(1), MPInt(2)}},
+                                     {MPInt(2), MPInt(2)});
   c.removeDuplicateDivs(merge);
   checkEqual(a, b);
   checkEqual(a, c);
@@ -54,21 +50,16 @@ TEST(UtilsTest, ParseAndCompareDivisionReprTest) {
 
 TEST(UtilsTest, DivisionReprNormalizeTest) {
   auto merge = [](unsigned i, unsigned j) -> bool { return true; };
-  DivisionRepr a = parseDivisionRepr(
-                   2, 1, {{DynamicAPInt(1), DynamicAPInt(2), DynamicAPInt(-1)}},
-                   {DynamicAPInt(2)}),
-               b = parseDivisionRepr(
-                   2, 1,
-                   {{DynamicAPInt(16), DynamicAPInt(32), DynamicAPInt(-16)}},
-                   {DynamicAPInt(32)}),
-               c = parseDivisionRepr(1, 1,
-                                     {{DynamicAPInt(12), DynamicAPInt(-4)}},
-                                     {DynamicAPInt(8)}),
-               d = parseDivisionRepr(
-                   2, 2,
-                   {{DynamicAPInt(1), DynamicAPInt(2), DynamicAPInt(-1)},
-                    {DynamicAPInt(4), DynamicAPInt(8), DynamicAPInt(-4)}},
-                   {DynamicAPInt(2), DynamicAPInt(8)});
+  DivisionRepr a = parseDivisionRepr(2, 1, {{MPInt(1), MPInt(2), MPInt(-1)}},
+                                     {MPInt(2)}),
+               b = parseDivisionRepr(2, 1, {{MPInt(16), MPInt(32), MPInt(-16)}},
+                                     {MPInt(32)}),
+               c = parseDivisionRepr(1, 1, {{MPInt(12), MPInt(-4)}},
+                                     {MPInt(8)}),
+               d = parseDivisionRepr(2, 2,
+                                     {{MPInt(1), MPInt(2), MPInt(-1)},
+                                      {MPInt(4), MPInt(8), MPInt(-4)}},
+                                     {MPInt(2), MPInt(8)});
   b.removeDuplicateDivs(merge);
   c.removeDuplicateDivs(merge);
   d.removeDuplicateDivs(merge);


        


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