; LLVM IR from HarshCasper/NeoAlgo :: C/cp (Lexicographic_rank)

; 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"

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

; Function Attrs: nounwind uwtable
define dso_local i32 @lexicographic_rank(ptr noundef %0) #1 {
  %2 = alloca ptr, align 8
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca i32, align 4
  %7 = alloca i32, align 4
  store ptr %0, ptr %2, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #3
  %8 = load ptr, ptr %2, align 8, !tbaa !5
  %9 = call i64 @strlen(ptr noundef %8) #4
  %10 = trunc i64 %9 to i32
  store i32 %10, ptr %3, align 4, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #3
  %11 = load i32, ptr %3, align 4, !tbaa !9
  %12 = call i32 @fact(i32 noundef %11)
  store i32 %12, ptr %4, align 4, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #3
  store i32 0, ptr %5, align 4, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #3
  store i32 1, ptr %6, align 4, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #3
  br label %13

13:                                               ; preds = %21, %1
  %14 = load ptr, ptr %2, align 8, !tbaa !5
  %15 = load i32, ptr %5, align 4, !tbaa !9
  %16 = sext i32 %15 to i64
  %17 = getelementptr inbounds i8, ptr %14, i64 %16
  %18 = load i8, ptr %17, align 1, !tbaa !11
  %19 = sext i8 %18 to i32
  %20 = icmp ne i32 %19, 0
  br i1 %20, label %21, label %37

21:                                               ; preds = %13
  %22 = load i32, ptr %4, align 4, !tbaa !9
  %23 = load i32, ptr %3, align 4, !tbaa !9
  %24 = load i32, ptr %5, align 4, !tbaa !9
  %25 = sub nsw i32 %23, %24
  %26 = sdiv i32 %22, %25
  store i32 %26, ptr %4, align 4, !tbaa !9
  %27 = load ptr, ptr %2, align 8, !tbaa !5
  %28 = load i32, ptr %5, align 4, !tbaa !9
  %29 = call i32 @smallerright(ptr noundef %27, i32 noundef %28)
  store i32 %29, ptr %7, align 4, !tbaa !9
  %30 = load i32, ptr %6, align 4, !tbaa !9
  %31 = load i32, ptr %7, align 4, !tbaa !9
  %32 = load i32, ptr %4, align 4, !tbaa !9
  %33 = mul nsw i32 %31, %32
  %34 = add nsw i32 %30, %33
  store i32 %34, ptr %6, align 4, !tbaa !9
  %35 = load i32, ptr %5, align 4, !tbaa !9
  %36 = add nsw i32 %35, 1
  store i32 %36, ptr %5, align 4, !tbaa !9
  br label %13, !llvm.loop !12

37:                                               ; preds = %13
  %38 = load i32, ptr %6, align 4, !tbaa !9
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #3
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #3
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #3
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #3
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #3
  ret i32 %38
}

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

; Function Attrs: nounwind willreturn memory(read)
declare i64 @strlen(ptr noundef) #2

; Function Attrs: nounwind uwtable
declare dso_local i32 @fact(i32 noundef) #1

; Function Attrs: nounwind uwtable
declare dso_local i32 @smallerright(ptr noundef, i32 noundef) #1

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 = { nounwind willreturn memory(read) "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 }
attributes #4 = { nounwind willreturn memory(read) }

!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 = !{!"any pointer", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"int", !7, i64 0}
!11 = !{!7, !7, i64 0}
!12 = distinct !{!12, !13}
!13 = !{!"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"

; Function Attrs: nounwind uwtable
define dso_local i32 @lexicographic_rank(ptr noundef %0) local_unnamed_addr #0 {
  %2 = tail call i64 @strlen(ptr noundef nonnull dereferenceable(1) %0) #2
  %3 = trunc i64 %2 to i32
  %4 = tail call i32 @fact(i32 noundef %3)
  %5 = load i8, ptr %0, align 1, !tbaa !5
  %.not15 = icmp eq i8 %5, 0
  br i1 %.not15, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %1, %.lr.ph
  %indvars.iv = phi i64 [ %indvars.iv.next, %.lr.ph ], [ 0, %1 ]
  %.018 = phi i32 [ %8, %.lr.ph ], [ %4, %1 ]
  %.01317 = phi i32 [ %12, %.lr.ph ], [ 1, %1 ]
  %6 = sub i64 %2, %indvars.iv
  %7 = trunc i64 %6 to i32
  %8 = sdiv i32 %.018, %7
  %9 = trunc nuw nsw i64 %indvars.iv to i32
  %10 = tail call i32 @smallerright(ptr noundef nonnull %0, i32 noundef %9)
  %11 = mul nsw i32 %10, %8
  %12 = add nsw i32 %11, %.01317
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %13 = getelementptr inbounds i8, ptr %0, i64 %indvars.iv.next
  %14 = load i8, ptr %13, align 1, !tbaa !5
  %.not = icmp eq i8 %14, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph, !llvm.loop !8

._crit_edge:                                      ; preds = %.lr.ph, %1
  %.013.lcssa = phi i32 [ 1, %1 ], [ %12, %.lr.ph ]
  ret i32 %.013.lcssa
}

; Function Attrs: mustprogress nofree nounwind willreturn memory(argmem: read)
declare i64 @strlen(ptr nocapture noundef) local_unnamed_addr #1

; Function Attrs: nounwind uwtable
declare dso_local i32 @fact(i32 noundef) local_unnamed_addr #0

; Function Attrs: nounwind uwtable
declare dso_local i32 @smallerright(ptr noundef, i32 noundef) local_unnamed_addr #0

attributes #0 = { 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 #1 = { mustprogress nofree nounwind willreturn memory(argmem: read) "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 = { nounwind willreturn memory(read) }

!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 = !{!"omnipotent char", !7, i64 0}
!7 = !{!"Simple C/C++ TBAA"}
!8 = distinct !{!8, !9}
!9 = !{!"llvm.loop.mustprogress"}


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