; LLVM IR from brpapa/algorithms :: notebook/dynamic-programming/tsp.ll (Z2dpii)

; Unoptimized IR (clang -disable-llvm-passes):
target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-i128:128-f80:128-n8:16:32:64-S128"
target triple = "x86_64-unknown-linux-gnu"

%"class.std::vector" = type { %"struct.std::_Vector_base" }
%"struct.std::_Vector_base" = type { %"struct.std::_Vector_base<std::vector<int>, std::allocator<std::vector<int>>>::_Vector_impl" }
%"struct.std::_Vector_base<std::vector<int>, std::allocator<std::vector<int>>>::_Vector_impl" = type { %"struct.std::_Vector_base<std::vector<int>, std::allocator<std::vector<int>>>::_Vector_impl_data" }
%"struct.std::_Vector_base<std::vector<int>, std::allocator<std::vector<int>>>::_Vector_impl_data" = type { ptr, ptr, ptr }

@V = external dso_local global i32, align 4
@adj_mat = external dso_local global %"class.std::vector", align 8
@s = external dso_local global i32, align 4
@memo = external dso_local global %"class.std::vector", align 8

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress uwtable
define dso_local noundef i32 @_Z2dpii(i32 noundef %0, i32 noundef %1) #1 {
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca ptr, align 8
  %7 = alloca i32, align 4
  %8 = alloca i32, align 4
  %9 = alloca i32, align 4
  store i32 %0, ptr %4, align 4, !tbaa !5
  store i32 %1, ptr %5, align 4, !tbaa !5
  %10 = load i32, ptr @V, align 4, !tbaa !5
  %11 = shl i32 1, %10
  %12 = sub nsw i32 %11, 1
  %13 = load i32, ptr %5, align 4, !tbaa !5
  %14 = icmp eq i32 %12, %13
  br i1 %14, label %15, label %23

15:                                               ; preds = %2
  %16 = load i32, ptr %4, align 4, !tbaa !5
  %17 = sext i32 %16 to i64
  %18 = call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) @adj_mat, i64 noundef %17) #4
  %19 = load i32, ptr @s, align 4, !tbaa !5
  %20 = sext i32 %19 to i64
  %21 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %18, i64 noundef %20) #4
  %22 = load i32, ptr %21, align 4, !tbaa !5
  store i32 %22, ptr %3, align 4
  br label %76

23:                                               ; preds = %2
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #4
  %24 = load i32, ptr %4, align 4, !tbaa !5
  %25 = sext i32 %24 to i64
  %26 = call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) @memo, i64 noundef %25) #4
  %27 = load i32, ptr %5, align 4, !tbaa !5
  %28 = sext i32 %27 to i64
  %29 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %26, i64 noundef %28) #4
  store ptr %29, ptr %6, align 8, !tbaa !9
  %30 = load ptr, ptr %6, align 8, !tbaa !9
  %31 = load i32, ptr %30, align 4, !tbaa !5
  %32 = icmp ne i32 %31, -1
  br i1 %32, label %33, label %36

33:                                               ; preds = %23
  %34 = load ptr, ptr %6, align 8, !tbaa !9
  %35 = load i32, ptr %34, align 4, !tbaa !5
  store i32 %35, ptr %3, align 4
  store i32 1, ptr %7, align 4
  br label %75

36:                                               ; preds = %23
  %37 = load ptr, ptr %6, align 8, !tbaa !9
  store i32 1073741824, ptr %37, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %8) #4
  store i32 0, ptr %8, align 4, !tbaa !5
  br label %38

38:                                               ; preds = %69, %36
  %39 = load i32, ptr %8, align 4, !tbaa !5
  %40 = load i32, ptr @V, align 4, !tbaa !5
  %41 = icmp slt i32 %39, %40
  br i1 %41, label %43, label %42

42:                                               ; preds = %38
  store i32 2, ptr %7, align 4
  call void @llvm.lifetime.end.p0(i64 4, ptr %8) #4
  br label %72

43:                                               ; preds = %38
  %44 = load i32, ptr %5, align 4, !tbaa !5
  %45 = load i32, ptr %8, align 4, !tbaa !5
  %46 = shl i32 1, %45
  %47 = and i32 %44, %46
  %48 = icmp ne i32 %47, 0
  br i1 %48, label %68, label %49

49:                                               ; preds = %43
  %50 = load ptr, ptr %6, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %9) #4
  %51 = load i32, ptr %4, align 4, !tbaa !5
  %52 = sext i32 %51 to i64
  %53 = call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) @adj_mat, i64 noundef %52) #4
  %54 = load i32, ptr %8, align 4, !tbaa !5
  %55 = sext i32 %54 to i64
  %56 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %53, i64 noundef %55) #4
  %57 = load i32, ptr %56, align 4, !tbaa !5
  %58 = load i32, ptr %8, align 4, !tbaa !5
  %59 = load i32, ptr %5, align 4, !tbaa !5
  %60 = load i32, ptr %8, align 4, !tbaa !5
  %61 = shl i32 1, %60
  %62 = or i32 %59, %61
  %63 = call noundef i32 @_Z2dpii(i32 noundef %58, i32 noundef %62)
  %64 = add nsw i32 %57, %63
  store i32 %64, ptr %9, align 4, !tbaa !5
  %65 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3minIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4) %50, ptr noundef nonnull align 4 dereferenceable(4) %9)
  %66 = load i32, ptr %65, align 4, !tbaa !5
  %67 = load ptr, ptr %6, align 8, !tbaa !9
  store i32 %66, ptr %67, align 4, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 4, ptr %9) #4
  br label %68

68:                                               ; preds = %49, %43
  br label %69

69:                                               ; preds = %68
  %70 = load i32, ptr %8, align 4, !tbaa !5
  %71 = add nsw i32 %70, 1
  store i32 %71, ptr %8, align 4, !tbaa !5
  br label %38, !llvm.loop !11

72:                                               ; preds = %42
  %73 = load ptr, ptr %6, align 8, !tbaa !9
  %74 = load i32, ptr %73, align 4, !tbaa !5
  store i32 %74, ptr %3, align 4
  store i32 1, ptr %7, align 4
  br label %75

75:                                               ; preds = %72, %33
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #4
  br label %76

76:                                               ; preds = %75, %15
  %77 = load i32, ptr %3, align 4
  ret i32 %77
}

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) #2 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) #2 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3minIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 4 dereferenceable(4)) #3

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { mustprogress uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #2 = { mustprogress nounwind uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #3 = { inlinehint mustprogress nounwind uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #4 = { nounwind }

!llvm.module.flags = !{!0, !1, !2, !3}
!llvm.ident = !{!4}

!0 = !{i32 1, !"wchar_size", i32 4}
!1 = !{i32 8, !"PIC Level", i32 2}
!2 = !{i32 7, !"PIE Level", i32 2}
!3 = !{i32 7, !"uwtable", i32 2}
!4 = !{!"clang version 19.1.0 (git@github.com:llvm/llvm-project.git a4bf6cd7cfb1a1421ba92bca9d017b49936c55e4)"}
!5 = !{!6, !6, i64 0}
!6 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"any pointer", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}


; Optimized IR (opt -passes='default<O3>'):
target datalayout = "e-m:e-p270:32:32-p271:32:32-p272:64:64-i64:64-i128:128-f80:128-n8:16:32:64-S128"
target triple = "x86_64-unknown-linux-gnu"

%"class.std::vector" = type { %"struct.std::_Vector_base" }
%"struct.std::_Vector_base" = type { %"struct.std::_Vector_base<std::vector<int>, std::allocator<std::vector<int>>>::_Vector_impl" }
%"struct.std::_Vector_base<std::vector<int>, std::allocator<std::vector<int>>>::_Vector_impl" = type { %"struct.std::_Vector_base<std::vector<int>, std::allocator<std::vector<int>>>::_Vector_impl_data" }
%"struct.std::_Vector_base<std::vector<int>, std::allocator<std::vector<int>>>::_Vector_impl_data" = type { ptr, ptr, ptr }

@V = external dso_local local_unnamed_addr global i32, align 4
@adj_mat = external dso_local global %"class.std::vector", align 8
@s = external dso_local local_unnamed_addr global i32, align 4
@memo = external dso_local global %"class.std::vector", align 8

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: mustprogress nounwind uwtable
define dso_local noundef i32 @_Z2dpii(i32 noundef %0, i32 noundef %1) local_unnamed_addr #1 {
  %3 = alloca i32, align 4
  %4 = load i32, ptr @V, align 4, !tbaa !5
  %notmask = shl nsw i32 -1, %4
  %5 = xor i32 %notmask, %1
  %6 = icmp eq i32 %5, -1
  %7 = sext i32 %0 to i64
  br i1 %6, label %8, label %14

8:                                                ; preds = %2
  %9 = tail call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) @adj_mat, i64 noundef %7) #3
  %10 = load i32, ptr @s, align 4, !tbaa !5
  %11 = sext i32 %10 to i64
  %12 = tail call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %9, i64 noundef %11) #3
  %13 = load i32, ptr %12, align 4, !tbaa !5
  br label %._crit_edge

14:                                               ; preds = %2
  %15 = tail call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) @memo, i64 noundef %7) #3
  %16 = sext i32 %1 to i64
  %17 = tail call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %15, i64 noundef %16) #3
  %18 = load i32, ptr %17, align 4, !tbaa !5
  %.not = icmp eq i32 %18, -1
  br i1 %.not, label %19, label %._crit_edge

19:                                               ; preds = %14
  store i32 1073741824, ptr %17, align 4, !tbaa !5
  %20 = load i32, ptr @V, align 4, !tbaa !5
  %21 = icmp sgt i32 %20, 0
  br i1 %21, label %.lr.ph, label %._crit_edge

.lr.ph:                                           ; preds = %19, %36
  %22 = phi i32 [ %37, %36 ], [ 1073741824, %19 ]
  %23 = phi i32 [ %38, %36 ], [ %20, %19 ]
  %indvars.iv = phi i64 [ %indvars.iv.next, %36 ], [ 0, %19 ]
  %24 = trunc nuw nsw i64 %indvars.iv to i32
  %25 = shl nuw i32 1, %24
  %26 = and i32 %25, %1
  %.not22 = icmp eq i32 %26, 0
  br i1 %.not22, label %27, label %36

27:                                               ; preds = %.lr.ph
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %3) #3
  %28 = call noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24) @adj_mat, i64 noundef %7) #3
  %29 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %28, i64 noundef %indvars.iv) #3
  %30 = load i32, ptr %29, align 4, !tbaa !5
  %31 = or i32 %25, %1
  %32 = call noundef i32 @_Z2dpii(i32 noundef %24, i32 noundef %31)
  %33 = add nsw i32 %32, %30
  store i32 %33, ptr %3, align 4, !tbaa !5
  %34 = call noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3minIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4) %17, ptr noundef nonnull align 4 dereferenceable(4) %3)
  %35 = load i32, ptr %34, align 4, !tbaa !5
  store i32 %35, ptr %17, align 4, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %3) #3
  %.pre = load i32, ptr @V, align 4, !tbaa !5
  br label %36

36:                                               ; preds = %.lr.ph, %27
  %37 = phi i32 [ %22, %.lr.ph ], [ %35, %27 ]
  %38 = phi i32 [ %23, %.lr.ph ], [ %.pre, %27 ]
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %39 = sext i32 %38 to i64
  %40 = icmp slt i64 %indvars.iv.next, %39
  br i1 %40, label %.lr.ph, label %._crit_edge, !llvm.loop !9

._crit_edge:                                      ; preds = %36, %19, %14, %8
  %.1 = phi i32 [ %13, %8 ], [ %18, %14 ], [ 1073741824, %19 ], [ %37, %36 ]
  ret i32 %.1
}

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(24) ptr @_ZNSt6vectorIS_IiSaIiEESaIS1_EEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) local_unnamed_addr #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZNSt6vectorIiSaIiEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) local_unnamed_addr #1 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 4 dereferenceable(4) ptr @_ZSt3minIiERKT_S2_S2_(ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 4 dereferenceable(4)) local_unnamed_addr #2

attributes #0 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { mustprogress nounwind uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #2 = { inlinehint mustprogress nounwind uwtable "min-legal-vector-width"="0" "no-trapping-math"="true" "stack-protector-buffer-size"="8" "target-cpu"="x86-64" "target-features"="+cmov,+cx8,+fxsr,+mmx,+sse,+sse2,+x87" "tune-cpu"="generic" }
attributes #3 = { nounwind }

!llvm.module.flags = !{!0, !1, !2, !3}
!llvm.ident = !{!4}

!0 = !{i32 1, !"wchar_size", i32 4}
!1 = !{i32 8, !"PIC Level", i32 2}
!2 = !{i32 7, !"PIE Level", i32 2}
!3 = !{i32 7, !"uwtable", i32 2}
!4 = !{!"clang version 19.1.0 (git@github.com:llvm/llvm-project.git a4bf6cd7cfb1a1421ba92bca9d017b49936c55e4)"}
!5 = !{!6, !6, i64 0}
!6 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,IPSCCPPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,ReassociatePass,SROAPass,SimplifyCFGPass,TailCallElimPass