forked from OSchip/llvm-project
518 lines
20 KiB
C++
518 lines
20 KiB
C++
//===------ ISLTools.cpp ----------------------------------------*- C++ -*-===//
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//
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// The LLVM Compiler Infrastructure
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//
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// This file is distributed under the University of Illinois Open Source
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// License. See LICENSE.TXT for details.
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//
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//===----------------------------------------------------------------------===//
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//
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// Tools, utilities, helpers and extensions useful in conjunction with the
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// Integer Set Library (isl).
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//
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//===----------------------------------------------------------------------===//
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#include "polly/Support/ISLTools.h"
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using namespace polly;
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namespace {
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/// Create a map that shifts one dimension by an offset.
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///
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/// Example:
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/// makeShiftDimAff({ [i0, i1] -> [o0, o1] }, 1, -2)
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/// = { [i0, i1] -> [i0, i1 - 1] }
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///
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/// @param Space The map space of the result. Must have equal number of in- and
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/// out-dimensions.
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/// @param Pos Position to shift.
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/// @param Amount Value added to the shifted dimension.
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///
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/// @return An isl_multi_aff for the map with this shifted dimension.
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isl::multi_aff makeShiftDimAff(isl::space Space, int Pos, int Amount) {
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auto Identity = give(isl_multi_aff_identity(Space.take()));
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if (Amount == 0)
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return Identity;
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auto ShiftAff = give(isl_multi_aff_get_aff(Identity.keep(), Pos));
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ShiftAff = give(isl_aff_set_constant_si(ShiftAff.take(), Amount));
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return give(isl_multi_aff_set_aff(Identity.take(), Pos, ShiftAff.take()));
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}
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/// Construct a map that swaps two nested tuples.
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///
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/// @param FromSpace1 { Space1[] }
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/// @param FromSpace2 { Space2[] }
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///
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/// @return { [Space1[] -> Space2[]] -> [Space2[] -> Space1[]] }
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isl::basic_map makeTupleSwapBasicMap(isl::space FromSpace1,
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isl::space FromSpace2) {
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assert(isl_space_is_set(FromSpace1.keep()) != isl_bool_false);
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assert(isl_space_is_set(FromSpace2.keep()) != isl_bool_false);
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auto Dims1 = isl_space_dim(FromSpace1.keep(), isl_dim_set);
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auto Dims2 = isl_space_dim(FromSpace2.keep(), isl_dim_set);
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auto FromSpace = give(isl_space_wrap(isl_space_map_from_domain_and_range(
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FromSpace1.copy(), FromSpace2.copy())));
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auto ToSpace = give(isl_space_wrap(isl_space_map_from_domain_and_range(
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FromSpace2.take(), FromSpace1.take())));
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auto MapSpace = give(
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isl_space_map_from_domain_and_range(FromSpace.take(), ToSpace.take()));
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auto Result = give(isl_basic_map_universe(MapSpace.take()));
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for (auto i = Dims1 - Dims1; i < Dims1; i += 1) {
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Result = give(isl_basic_map_equate(Result.take(), isl_dim_in, i,
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isl_dim_out, Dims2 + i));
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}
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for (auto i = Dims2 - Dims2; i < Dims2; i += 1) {
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Result = give(isl_basic_map_equate(Result.take(), isl_dim_in, Dims1 + i,
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isl_dim_out, i));
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}
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return Result;
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}
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/// Like makeTupleSwapBasicMap(isl::space,isl::space), but returns
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/// an isl_map.
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isl::map makeTupleSwapMap(isl::space FromSpace1, isl::space FromSpace2) {
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auto BMapResult =
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makeTupleSwapBasicMap(std::move(FromSpace1), std::move(FromSpace2));
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return give(isl_map_from_basic_map(BMapResult.take()));
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}
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} // anonymous namespace
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isl::map polly::beforeScatter(isl::map Map, bool Strict) {
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auto RangeSpace = give(isl_space_range(isl_map_get_space(Map.keep())));
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auto ScatterRel = give(Strict ? isl_map_lex_gt(RangeSpace.take())
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: isl_map_lex_ge(RangeSpace.take()));
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return give(isl_map_apply_range(Map.take(), ScatterRel.take()));
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}
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isl::union_map polly::beforeScatter(isl::union_map UMap, bool Strict) {
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auto Result = give(isl_union_map_empty(isl_union_map_get_space(UMap.keep())));
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UMap.foreach_map([=, &Result](isl::map Map) -> isl::stat {
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auto After = beforeScatter(Map, Strict);
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Result = give(isl_union_map_add_map(Result.take(), After.take()));
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return isl::stat::ok;
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});
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return Result;
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}
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isl::map polly::afterScatter(isl::map Map, bool Strict) {
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auto RangeSpace = give(isl_space_range(isl_map_get_space(Map.keep())));
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auto ScatterRel = give(Strict ? isl_map_lex_lt(RangeSpace.take())
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: isl_map_lex_le(RangeSpace.take()));
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return give(isl_map_apply_range(Map.take(), ScatterRel.take()));
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}
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isl::union_map polly::afterScatter(const isl::union_map &UMap, bool Strict) {
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auto Result = give(isl_union_map_empty(isl_union_map_get_space(UMap.keep())));
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UMap.foreach_map([=, &Result](isl::map Map) -> isl::stat {
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auto After = afterScatter(Map, Strict);
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Result = give(isl_union_map_add_map(Result.take(), After.take()));
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return isl::stat::ok;
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});
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return Result;
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}
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isl::map polly::betweenScatter(isl::map From, isl::map To, bool InclFrom,
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bool InclTo) {
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auto AfterFrom = afterScatter(From, !InclFrom);
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auto BeforeTo = beforeScatter(To, !InclTo);
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return give(isl_map_intersect(AfterFrom.take(), BeforeTo.take()));
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}
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isl::union_map polly::betweenScatter(isl::union_map From, isl::union_map To,
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bool InclFrom, bool InclTo) {
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auto AfterFrom = afterScatter(From, !InclFrom);
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auto BeforeTo = beforeScatter(To, !InclTo);
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return give(isl_union_map_intersect(AfterFrom.take(), BeforeTo.take()));
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}
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isl::map polly::singleton(isl::union_map UMap, isl::space ExpectedSpace) {
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if (!UMap)
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return nullptr;
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if (isl_union_map_n_map(UMap.keep()) == 0)
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return give(isl_map_empty(ExpectedSpace.take()));
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auto Result = give(isl_map_from_union_map(UMap.take()));
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assert(!Result || isl_space_has_equal_tuples(
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give(isl_map_get_space(Result.keep())).keep(),
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ExpectedSpace.keep()) == isl_bool_true);
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return Result;
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}
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isl::set polly::singleton(isl::union_set USet, isl::space ExpectedSpace) {
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if (!USet)
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return nullptr;
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if (isl_union_set_n_set(USet.keep()) == 0)
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return give(isl_set_empty(ExpectedSpace.copy()));
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auto Result = give(isl_set_from_union_set(USet.take()));
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assert(!Result || isl_space_has_equal_tuples(
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give(isl_set_get_space(Result.keep())).keep(),
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ExpectedSpace.keep()) == isl_bool_true);
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return Result;
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}
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unsigned polly::getNumScatterDims(const isl::union_map &Schedule) {
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unsigned Dims = 0;
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Schedule.foreach_map([&Dims](isl::map Map) -> isl::stat {
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Dims = std::max(Dims, isl_map_dim(Map.keep(), isl_dim_out));
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return isl::stat::ok;
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});
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return Dims;
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}
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isl::space polly::getScatterSpace(const isl::union_map &Schedule) {
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if (!Schedule)
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return nullptr;
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auto Dims = getNumScatterDims(Schedule);
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auto ScatterSpace =
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give(isl_space_set_from_params(isl_union_map_get_space(Schedule.keep())));
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return give(isl_space_add_dims(ScatterSpace.take(), isl_dim_set, Dims));
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}
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isl::union_map polly::makeIdentityMap(const isl::union_set &USet,
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bool RestrictDomain) {
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auto Result = give(isl_union_map_empty(isl_union_set_get_space(USet.keep())));
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USet.foreach_set([=, &Result](isl::set Set) -> isl::stat {
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auto IdentityMap = give(isl_map_identity(
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isl_space_map_from_set(isl_set_get_space(Set.keep()))));
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if (RestrictDomain)
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IdentityMap =
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give(isl_map_intersect_domain(IdentityMap.take(), Set.take()));
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Result = give(isl_union_map_add_map(Result.take(), IdentityMap.take()));
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return isl::stat::ok;
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});
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return Result;
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}
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isl::map polly::reverseDomain(isl::map Map) {
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auto DomSpace =
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give(isl_space_unwrap(isl_space_domain(isl_map_get_space(Map.keep()))));
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auto Space1 = give(isl_space_domain(DomSpace.copy()));
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auto Space2 = give(isl_space_range(DomSpace.take()));
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auto Swap = makeTupleSwapMap(std::move(Space1), std::move(Space2));
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return give(isl_map_apply_domain(Map.take(), Swap.take()));
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}
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isl::union_map polly::reverseDomain(const isl::union_map &UMap) {
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auto Result = give(isl_union_map_empty(isl_union_map_get_space(UMap.keep())));
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UMap.foreach_map([=, &Result](isl::map Map) -> isl::stat {
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auto Reversed = reverseDomain(std::move(Map));
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Result = give(isl_union_map_add_map(Result.take(), Reversed.take()));
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return isl::stat::ok;
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});
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return Result;
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}
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isl::set polly::shiftDim(isl::set Set, int Pos, int Amount) {
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int NumDims = isl_set_dim(Set.keep(), isl_dim_set);
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if (Pos < 0)
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Pos = NumDims + Pos;
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assert(Pos < NumDims && "Dimension index must be in range");
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auto Space = give(isl_set_get_space(Set.keep()));
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Space = give(isl_space_map_from_domain_and_range(Space.copy(), Space.copy()));
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auto Translator = makeShiftDimAff(std::move(Space), Pos, Amount);
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auto TranslatorMap = give(isl_map_from_multi_aff(Translator.take()));
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return give(isl_set_apply(Set.take(), TranslatorMap.take()));
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}
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isl::union_set polly::shiftDim(isl::union_set USet, int Pos, int Amount) {
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auto Result = give(isl_union_set_empty(isl_union_set_get_space(USet.keep())));
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USet.foreach_set([=, &Result](isl::set Set) -> isl::stat {
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auto Shifted = shiftDim(Set, Pos, Amount);
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Result = give(isl_union_set_add_set(Result.take(), Shifted.take()));
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return isl::stat::ok;
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});
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return Result;
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}
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isl::map polly::shiftDim(isl::map Map, isl::dim Dim, int Pos, int Amount) {
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int NumDims = Map.dim(Dim);
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if (Pos < 0)
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Pos = NumDims + Pos;
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assert(Pos < NumDims && "Dimension index must be in range");
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auto Space = give(isl_map_get_space(Map.keep()));
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switch (Dim) {
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case isl::dim::in:
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Space = std::move(Space).domain();
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break;
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case isl::dim::out:
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Space = give(isl_space_range(Space.take()));
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break;
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default:
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llvm_unreachable("Unsupported value for 'dim'");
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}
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Space = give(isl_space_map_from_domain_and_range(Space.copy(), Space.copy()));
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auto Translator = makeShiftDimAff(std::move(Space), Pos, Amount);
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auto TranslatorMap = give(isl_map_from_multi_aff(Translator.take()));
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switch (Dim) {
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case isl::dim::in:
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return Map.apply_domain(TranslatorMap);
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case isl::dim::out:
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return Map.apply_range(TranslatorMap);
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default:
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llvm_unreachable("Unsupported value for 'dim'");
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}
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}
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isl::union_map polly::shiftDim(isl::union_map UMap, isl::dim Dim, int Pos,
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int Amount) {
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auto Result = isl::union_map::empty(UMap.get_space());
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UMap.foreach_map([=, &Result](isl::map Map) -> isl::stat {
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auto Shifted = shiftDim(Map, Dim, Pos, Amount);
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Result = std::move(Result).add_map(Shifted);
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return isl::stat::ok;
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});
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return Result;
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}
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void polly::simplify(isl::set &Set) {
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Set = give(isl_set_compute_divs(Set.take()));
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Set = give(isl_set_detect_equalities(Set.take()));
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Set = give(isl_set_coalesce(Set.take()));
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}
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void polly::simplify(isl::union_set &USet) {
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USet = give(isl_union_set_compute_divs(USet.take()));
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USet = give(isl_union_set_detect_equalities(USet.take()));
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USet = give(isl_union_set_coalesce(USet.take()));
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}
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void polly::simplify(isl::map &Map) {
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Map = give(isl_map_compute_divs(Map.take()));
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Map = give(isl_map_detect_equalities(Map.take()));
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Map = give(isl_map_coalesce(Map.take()));
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}
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void polly::simplify(isl::union_map &UMap) {
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UMap = give(isl_union_map_compute_divs(UMap.take()));
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UMap = give(isl_union_map_detect_equalities(UMap.take()));
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UMap = give(isl_union_map_coalesce(UMap.take()));
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}
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isl::union_map polly::computeReachingWrite(isl::union_map Schedule,
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isl::union_map Writes, bool Reverse,
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bool InclPrevDef, bool InclNextDef) {
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// { Scatter[] }
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auto ScatterSpace = getScatterSpace(Schedule);
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// { ScatterRead[] -> ScatterWrite[] }
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isl::map Relation;
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if (Reverse)
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Relation = give(InclPrevDef ? isl_map_lex_lt(ScatterSpace.take())
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: isl_map_lex_le(ScatterSpace.take()));
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else
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Relation = give(InclNextDef ? isl_map_lex_gt(ScatterSpace.take())
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: isl_map_lex_ge(ScatterSpace.take()));
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// { ScatterWrite[] -> [ScatterRead[] -> ScatterWrite[]] }
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auto RelationMap = give(isl_map_reverse(isl_map_range_map(Relation.take())));
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// { Element[] -> ScatterWrite[] }
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auto WriteAction =
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give(isl_union_map_apply_domain(Schedule.copy(), Writes.take()));
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// { ScatterWrite[] -> Element[] }
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auto WriteActionRev = give(isl_union_map_reverse(WriteAction.copy()));
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// { Element[] -> [ScatterUse[] -> ScatterWrite[]] }
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auto DefSchedRelation = give(isl_union_map_apply_domain(
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isl_union_map_from_map(RelationMap.take()), WriteActionRev.take()));
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// For each element, at every point in time, map to the times of previous
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// definitions. { [Element[] -> ScatterRead[]] -> ScatterWrite[] }
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auto ReachableWrites = give(isl_union_map_uncurry(DefSchedRelation.take()));
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if (Reverse)
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ReachableWrites = give(isl_union_map_lexmin(ReachableWrites.copy()));
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else
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ReachableWrites = give(isl_union_map_lexmax(ReachableWrites.copy()));
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// { [Element[] -> ScatterWrite[]] -> ScatterWrite[] }
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auto SelfUse = give(isl_union_map_range_map(WriteAction.take()));
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if (InclPrevDef && InclNextDef) {
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// Add the Def itself to the solution.
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ReachableWrites =
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give(isl_union_map_union(ReachableWrites.take(), SelfUse.take()));
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ReachableWrites = give(isl_union_map_coalesce(ReachableWrites.take()));
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} else if (!InclPrevDef && !InclNextDef) {
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// Remove Def itself from the solution.
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ReachableWrites =
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give(isl_union_map_subtract(ReachableWrites.take(), SelfUse.take()));
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}
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// { [Element[] -> ScatterRead[]] -> Domain[] }
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auto ReachableWriteDomain = give(isl_union_map_apply_range(
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ReachableWrites.take(), isl_union_map_reverse(Schedule.take())));
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return ReachableWriteDomain;
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}
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isl::union_map
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polly::computeArrayUnused(isl::union_map Schedule, isl::union_map Writes,
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isl::union_map Reads, bool ReadEltInSameInst,
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bool IncludeLastRead, bool IncludeWrite) {
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// { Element[] -> Scatter[] }
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auto ReadActions =
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give(isl_union_map_apply_domain(Schedule.copy(), Reads.take()));
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auto WriteActions =
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give(isl_union_map_apply_domain(Schedule.copy(), Writes.copy()));
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// { [Element[] -> Scatter[] }
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auto AfterReads = afterScatter(ReadActions, ReadEltInSameInst);
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auto WritesBeforeAnyReads =
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give(isl_union_map_subtract(WriteActions.take(), AfterReads.take()));
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auto BeforeWritesBeforeAnyReads =
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beforeScatter(WritesBeforeAnyReads, !IncludeWrite);
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// { [Element[] -> DomainWrite[]] -> Scatter[] }
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auto EltDomWrites = give(isl_union_map_apply_range(
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isl_union_map_range_map(isl_union_map_reverse(Writes.copy())),
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Schedule.copy()));
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// { [Element[] -> Scatter[]] -> DomainWrite[] }
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auto ReachingOverwrite = computeReachingWrite(
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Schedule, Writes, true, ReadEltInSameInst, !ReadEltInSameInst);
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// { [Element[] -> Scatter[]] -> DomainWrite[] }
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auto ReadsOverwritten = give(isl_union_map_intersect_domain(
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ReachingOverwrite.take(), isl_union_map_wrap(ReadActions.take())));
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// { [Element[] -> DomainWrite[]] -> Scatter[] }
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auto ReadsOverwrittenRotated = give(isl_union_map_reverse(
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isl_union_map_curry(reverseDomain(ReadsOverwritten).take())));
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auto LastOverwrittenRead =
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give(isl_union_map_lexmax(ReadsOverwrittenRotated.take()));
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// { [Element[] -> DomainWrite[]] -> Scatter[] }
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auto BetweenLastReadOverwrite = betweenScatter(
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LastOverwrittenRead, EltDomWrites, IncludeLastRead, IncludeWrite);
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return give(isl_union_map_union(
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BeforeWritesBeforeAnyReads.take(),
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isl_union_map_domain_factor_domain(BetweenLastReadOverwrite.take())));
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}
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isl::union_set polly::convertZoneToTimepoints(isl::union_set Zone,
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bool InclStart, bool InclEnd) {
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if (!InclStart && InclEnd)
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return Zone;
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auto ShiftedZone = shiftDim(Zone, -1, -1);
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if (InclStart && !InclEnd)
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return ShiftedZone;
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else if (!InclStart && !InclEnd)
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return give(isl_union_set_intersect(Zone.take(), ShiftedZone.take()));
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assert(InclStart && InclEnd);
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return give(isl_union_set_union(Zone.take(), ShiftedZone.take()));
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}
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isl::union_map polly::convertZoneToTimepoints(isl::union_map Zone, isl::dim Dim,
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bool InclStart, bool InclEnd) {
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if (!InclStart && InclEnd)
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return Zone;
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auto ShiftedZone = shiftDim(Zone, Dim, -1, -1);
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if (InclStart && !InclEnd)
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|
return ShiftedZone;
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|
else if (!InclStart && !InclEnd)
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|
return give(isl_union_map_intersect(Zone.take(), ShiftedZone.take()));
|
|
|
|
assert(InclStart && InclEnd);
|
|
return give(isl_union_map_union(Zone.take(), ShiftedZone.take()));
|
|
}
|
|
|
|
isl::map polly::distributeDomain(isl::map Map) {
|
|
// Note that we cannot take Map apart into { Domain[] -> Range1[] } and {
|
|
// Domain[] -> Range2[] } and combine again. We would loose any relation
|
|
// between Range1[] and Range2[] that is not also a constraint to Domain[].
|
|
|
|
auto Space = give(isl_map_get_space(Map.keep()));
|
|
auto DomainSpace = give(isl_space_domain(Space.copy()));
|
|
assert(DomainSpace);
|
|
auto DomainDims = isl_space_dim(DomainSpace.keep(), isl_dim_set);
|
|
auto RangeSpace = give(isl_space_unwrap(isl_space_range(Space.copy())));
|
|
auto Range1Space = give(isl_space_domain(RangeSpace.copy()));
|
|
assert(Range1Space);
|
|
auto Range1Dims = isl_space_dim(Range1Space.keep(), isl_dim_set);
|
|
auto Range2Space = give(isl_space_range(RangeSpace.copy()));
|
|
assert(Range2Space);
|
|
auto Range2Dims = isl_space_dim(Range2Space.keep(), isl_dim_set);
|
|
|
|
auto OutputSpace = give(isl_space_map_from_domain_and_range(
|
|
isl_space_wrap(isl_space_map_from_domain_and_range(DomainSpace.copy(),
|
|
Range1Space.copy())),
|
|
isl_space_wrap(isl_space_map_from_domain_and_range(DomainSpace.copy(),
|
|
Range2Space.copy()))));
|
|
|
|
auto Translator =
|
|
give(isl_basic_map_universe(isl_space_map_from_domain_and_range(
|
|
isl_space_wrap(Space.copy()), isl_space_wrap(OutputSpace.copy()))));
|
|
|
|
for (unsigned i = 0; i < DomainDims; i += 1) {
|
|
Translator = give(
|
|
isl_basic_map_equate(Translator.take(), isl_dim_in, i, isl_dim_out, i));
|
|
Translator =
|
|
give(isl_basic_map_equate(Translator.take(), isl_dim_in, i, isl_dim_out,
|
|
DomainDims + Range1Dims + i));
|
|
}
|
|
for (unsigned i = 0; i < Range1Dims; i += 1) {
|
|
Translator =
|
|
give(isl_basic_map_equate(Translator.take(), isl_dim_in, DomainDims + i,
|
|
isl_dim_out, DomainDims + i));
|
|
}
|
|
for (unsigned i = 0; i < Range2Dims; i += 1) {
|
|
Translator = give(isl_basic_map_equate(
|
|
Translator.take(), isl_dim_in, DomainDims + Range1Dims + i, isl_dim_out,
|
|
DomainDims + Range1Dims + DomainDims + i));
|
|
}
|
|
|
|
return give(isl_set_unwrap(isl_set_apply(
|
|
isl_map_wrap(Map.copy()), isl_map_from_basic_map(Translator.copy()))));
|
|
}
|
|
|
|
isl::union_map polly::distributeDomain(isl::union_map UMap) {
|
|
auto Result = give(isl_union_map_empty(isl_union_map_get_space(UMap.keep())));
|
|
UMap.foreach_map([=, &Result](isl::map Map) {
|
|
auto Distributed = distributeDomain(Map);
|
|
Result = give(isl_union_map_add_map(Result.take(), Distributed.copy()));
|
|
return isl::stat::ok;
|
|
});
|
|
return Result;
|
|
}
|
|
|
|
isl::union_map polly::liftDomains(isl::union_map UMap, isl::union_set Factor) {
|
|
|
|
// { Factor[] -> Factor[] }
|
|
auto Factors = makeIdentityMap(std::move(Factor), true);
|
|
|
|
return std::move(Factors).product(std::move(UMap));
|
|
}
|
|
|
|
isl::union_map polly::applyDomainRange(isl::union_map UMap,
|
|
isl::union_map Func) {
|
|
// This implementation creates unnecessary cross products of the
|
|
// DomainDomain[] and Func. An alternative implementation could reverse
|
|
// domain+uncurry,apply Func to what now is the domain, then undo the
|
|
// preparing transformation. Another alternative implementation could create a
|
|
// translator map for each piece.
|
|
|
|
// { DomainDomain[] }
|
|
auto DomainDomain = UMap.domain().unwrap().domain();
|
|
|
|
// { [DomainDomain[] -> DomainRange[]] -> [DomainDomain[] -> NewDomainRange[]]
|
|
// }
|
|
auto LifetedFunc = liftDomains(std::move(Func), DomainDomain);
|
|
|
|
return std::move(UMap).apply_domain(std::move(LifetedFunc));
|
|
}
|