[TensorIR][M2a] Verification of cached flags

include/tvm/arith/int_set.h

@@ -36,6 +36,8 @@ using tir::IterVar;
 using tir::Var;
 using tir::VarNode;
 
+class Analyzer;
+
 //-----------------------------------------------
 // Integer set data structure.
 //
@@ -190,6 +192,14 @@ IntSet EvalSet(IntSet s, const std::unordered_map<const VarNode*, IntSet>& dom_m
  * \return An integer set that can cover all the possible values of e.
  */
 IntSet EvalSet(Range r, const std::unordered_map<const VarNode*, IntSet>& dom_map);
+/*!
+ * \brief Same as EvalSet, but takes Array<Range>
+ *
+ * \param region The range to be evaluated.
+ * \param dom_map The domain of each variable.
+ * \return An array of integer sets that can cover all the possible values.
+ */
+Array<IntSet> EvalSet(const Array<Range>& region, const Map<Var, IntSet>& dom_map);
 /*! \brief Map from Expr to IntSet */
 using ExprIntSetMap = std::unordered_map<PrimExpr, IntSet, ObjectPtrHash, ObjectPtrEqual>;
 /*!
@@ -204,19 +214,53 @@ ExprIntSetMap EvalSetForEachSubExpr(PrimExpr e,
                                     const std::unordered_map<const VarNode*, IntSet>& dom_map);
 
 /*!
- * \brief Create an union set of all sets
- * \param sets The sets to be unioned
+ * \brief Create a union set of all sets, possibly relaxed
+ * \param sets The sets to be combined
  * \return the set after union
  */
 IntSet Union(const Array<IntSet>& sets);
 
+/*!
+ * \brief The union of N-dimensional integer sets
+ * \param nd_int_sets A list of N-dimensional integer sets
+ * \return An N-dimensional integer set as the result of union
+ */
+Array<IntSet> UnionRegion(const Array<Array<IntSet>>& nd_int_sets);
+
+/*!
+ * \brief Create a lower-bound of union set, where some of the segments may be dropped
+ * \param sets The sets to be combined
+ * \return the set after union
+ */
+IntSet UnionLowerBound(const Array<IntSet>& sets);
+
+/*!
+ * \brief The union of N-dimensional integer sets
+ * \param nd_int_sets A list of N-dimensional integer sets
+ * \return An N-dimensional integer set as the result of union
+ */
+Array<IntSet> UnionRegionLowerBound(const Array<Array<IntSet>>& nd_int_sets);
+
 /*!
  * \brief Create an union set of all sets
  * \param sets The sets to be intersected
  * \return the set after intersected
  */
 IntSet Intersect(const Array<IntSet>& sets);
 
+/*!
+ * \brief Analyze the region with affine map, given the domain of variables and their predicate
+ * \param region The region to be analyzed
+ * \param var_dom The ranges of the variables
+ * \param predicate The predicate for the affine map
+ * \param analyzer The analyzer used
+ * \return NullOpt if the detection fails, or an array of arith::IntSet as the result of analysis
+ */
+TVM_DLL Optional<Array<IntSet>> EstimateRegionLowerBound(const Array<Range>& region,
+                                                         const Map<Var, Range>& var_dom,
+                                                         const PrimExpr& predicate,
+                                                         arith::Analyzer* analyzer);
+
 }  // namespace arith
 }  // namespace tvm
 #endif  // TVM_ARITH_INT_SET_H_

include/tvm/tir/schedule/block_scope.h

@@ -221,7 +221,9 @@ class BlockScopeNode : public Object {
    * equivalent to of a stage pipeline. Under the following conditions:
    *
    * 1) The region cover property holds for every of its child blocks
-   * 2) No write-after-read dependency
+   * 2) No write-after-read dependency or opaque dependency, only read-after-write and
+   * write-after-write are allowed
+   * 3) All the statements in the scope are schedulable statements, i.e. Block and For
    */
   bool stage_pipeline{false};
 

include/tvm/tir/schedule/schedule.h

@@ -213,9 +213,7 @@ class Schedule : public runtime::ObjectRef {
    * \sa ScheduleDebugMask
    * \note The checks performed includes:
    * 1) VerifySRefTree
-   * 2) VerifyAffineBinding
-   * 3) VerifyRegionCover
-   * 4) VerifyStagePipeline
+   * 2) VerifyCachedFlags
    */
   TVM_DLL static Schedule Concrete(IRModule mod, int debug_mode);
   TVM_DEFINE_MUTABLE_OBJECT_REF_METHODS(Schedule, runtime::ObjectRef, ScheduleNode);

include/tvm/tir/schedule/state.h

@@ -64,15 +64,11 @@ struct BlockInfo {
  * \brief The bitmask of the debug flag in the ScheduleStateNode.
  * \sa ScheduleStateNode
  */
-enum class ScheduleDebugMask : int32_t {
+enum ScheduleDebugMask : uint32_t {
   /*! \brief Verify the correctness of the sref tree */
   kVerifySRefTree = 1,
-  /*! \brief Verify the correctness of affine_binding */
-  kVerifyAffineBinding = 2,
-  /*! \brief Verify the correctness of region_cover */
-  kVerifyRegionCover = 4,
-  /*! \brief Verify the correctness of stage_pipeline */
-  kVerifyStagePipeline = 8,
+  /*! \brief Verify the correctness of affine_binding, region_cover and stage_pipeline */
+  kVerifyCachedFlags = 2,
 };
 
 /*!
@@ -135,9 +131,8 @@ class ScheduleStateNode : public Object {
   /*!
    * \brief Trigger the verification according to the `debug_mode` bitmask.
    * 1) If the bitmask `kVerifySRefTree` is on, verify the correctness of the sref tree.
-   * 2) If the bitmask `kVerifyAffineBinding` is on, verify the correctness of `affine_binding`
-   * 3) If the bitmask `kVerifyRegionCover` is on, verify the correctness of `region_cover`
-   * 4) If the bitmask `kVerifyStagePipeline` is on, verify the correctness of `stage_pipeline`
+   * 2) If the bitmask `kVerifyCachedFlags` is on, verify the correctness of `affine_binding`,
+   * `region_cover` and `stage_pipeline`
    */
   TVM_DLL void DebugVerify() const;
 

include/tvm/tir/stmt_functor.h

@@ -352,6 +352,14 @@ TVM_DLL Stmt Substitute(Stmt stmt, std::function<Optional<PrimExpr>(const Var& v
  */
 TVM_DLL PrimExpr Substitute(PrimExpr expr, std::function<Optional<PrimExpr>(const Var& var)> vmap);
 
+/*!
+ * \brief Substitute the var specified by vmap.
+ * \param region The object whose vars are to be substituted
+ * \param vmap The map of new values.
+ * \return The result.
+ */
+TVM_DLL Array<Range> Substitute(const Array<Range>& region, const Map<Var, PrimExpr>& vmap);
+
 /*!
  * \brief Sugar for substitute via a given map.
  * \param input The input to be updated.

python/tvm/arith/__init__.py

@@ -16,7 +16,7 @@
 # under the License.
 """Integer bound analysis, simplification and pattern detection."""
 
-from .int_set import IntSet, IntervalSet
+from .int_set import IntSet, IntervalSet, estimate_region_lower_bound
 from .analyzer import ModularSet, ConstIntBound, Analyzer
 from .bound import deduce_bound
 from .pattern import detect_linear_equation, detect_clip_bound

python/tvm/arith/int_set.py

@@ -79,3 +79,63 @@ class IntervalSet(IntSet):
 
     def __init__(self, min_value, max_value):
         self.__init_handle_by_constructor__(_ffi_api.IntervalSet, min_value, max_value)
+
+
+def estimate_region_lower_bound(region, var_dom, predicate):
+    """Analyze the region with affine map, given the domain of variables and their predicate
+
+    Parameters
+    ----------
+    region : List[Range]
+        The region to be analyzed.
+
+    var_dom : Dict[Var, Range]
+        The ranges of the variables
+
+    predicate : PrimExpr
+        The predicate for the affine map
+
+    Returns
+    ----------
+    region_int_set : Optional[List[IntSet]]
+        None if the detection fails, or an array of IntSets as the result of analysis
+    """
+    return _ffi_api.EstimateRegionLowerBound(region, var_dom, predicate)
+
+
+def pos_inf():
+    """Returns the symbolic positive infinity
+
+    Returns
+    ----------
+    pos_inf : Var
+        A symbolic var that indicates positive infinity
+    """
+    return _ffi_api.PosInf()
+
+
+def neg_inf():
+    """Returns the symbolic positive infinity
+
+    Returns
+    ----------
+    neg_inf : Var
+        A symbolic var that indicates positive infinity
+    """
+    return _ffi_api.NegInf()
+
+
+def union_lower_bound(sets):
+    """Create a lower-bound of union set, where some of the segments may be dropped
+
+    Parameters
+    ----------
+    sets : List[IntSet]
+        The sets to be combined
+
+    Returns
+    ----------
+    union_lower_bound : List[IntSet]
+        An N-dimensional integer set, the lower bound of the union
+    """
+    return _ffi_api.UnionLowerBound(sets)

python/tvm/tir/schedule/schedule.py

@@ -76,9 +76,7 @@ def __init__(
         ----------
         The checks performed includes:
         1) VerifySRefTree
-        2) VerifyAffineBinding
-        3) VerifyRegionCover
-        4) VerifyStagePipeline
+        2) VerifyCachedFlags
         """
         if isinstance(debug_mode, bool):
             if debug_mode:

python/tvm/tir/schedule/state.py

@@ -15,6 +15,7 @@
 # specific language governing permissions and limitations
 # under the License.
 """This file defines ScheduleState, the core data structure of TensorIR scheduling."""
+from collections import namedtuple
 from enum import IntEnum
 from typing import Dict, Optional, Union
 
@@ -26,6 +27,8 @@
 from . import _ffi_api_schedule
 from .block_scope import BlockScope, StmtSRef
 
+CachedFlags = namedtuple("CachedFlags", ["affine_binding", "region_cover", "stage_pipeline"])
+
 
 class ScheduleDebugMask(IntEnum):
     """The bitmask of the `debug_mode` flag in the ScheduleState class.
@@ -38,18 +41,12 @@ class ScheduleDebugMask(IntEnum):
     ----------
     VERIFY_SREF_TREE : int = 1
         Verify the correctness of the sref tree
-    VERIFY_AFFINE_BINDING : int = 2
-        Verify the correctness of affine_binding
-    VERIFY_REGION_COVER : int = 4
-        Verify the correctness of region_cover
-    VERIFY_STAGE_PIPELINE: int = 8
-        Verify the correctness of stage_pipeline
+    VERIFY_CACHED_FLAGS : int = 2
+        Verify the correctness of affine_binding, region_cover and stage_pipeline
     """
 
     VERIFY_SREF_TREE = 1
-    VERIFY_AFFINE_BINDING = 2
-    VERIFY_REGION_COVER = 4
-    VERIFY_STAGE_PIPELINE = 8
+    VERIFY_CACHED_FLAGS = 2
 
 
 @register_object("tir.ScheduleState")
@@ -140,6 +137,36 @@ def get_block_scope(self, block_sref: StmtSRef) -> BlockScope:
             self, block_sref
         )
 
+    def _get_cached_flags(self, block_sref: StmtSRef) -> CachedFlags:
+        """Get the cached flags of the corresponding block
+
+        Parameters
+        ----------
+        block_sref : StmtSRef
+            The block sref to be retrieved
+
+        Returns
+        -------
+        flags : CachedFlags
+            Three flags: affine_binding, region_cover, stage_pipeline
+
+        Note
+        -------
+        It is an API intended for internal testing use.
+        """
+        (
+            affine_binding,
+            region_cover,
+            stage_pipeline,
+        ) = _ffi_api_schedule.ScheduleStateGetCachedFlags(  # pylint: disable=no-member
+            self, block_sref
+        )
+        return CachedFlags(
+            affine_binding=bool(affine_binding.value),
+            region_cover=bool(region_cover.value),
+            stage_pipeline=bool(stage_pipeline.value),
+        )
+
     def replace(
         self,
         src_sref: StmtSRef,