; LLVM IR from ncduy0303/Competitive-Programming :: Mathematics/Binomial Coefficients.ll (Z14precompute_logi)

; 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.0" = type { %"struct.std::_Vector_base.1" }
%"struct.std::_Vector_base.1" = type { %"struct.std::_Vector_base<double, std::allocator<double>>::_Vector_impl" }
%"struct.std::_Vector_base<double, std::allocator<double>>::_Vector_impl" = type { %"struct.std::_Vector_base<double, std::allocator<double>>::_Vector_impl_data" }
%"struct.std::_Vector_base<double, std::allocator<double>>::_Vector_impl_data" = type { ptr, ptr, ptr }

@log_fact = external dso_local global %"class.std::vector.0", 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 void @_Z14precompute_logi(i32 noundef %0) #1 {
  %2 = alloca i32, align 4
  %3 = alloca double, align 8
  %4 = alloca i32, align 4
  store i32 %0, ptr %2, align 4, !tbaa !5
  %5 = load i32, ptr %2, align 4, !tbaa !5
  %6 = add nsw i32 %5, 1
  %7 = sext i32 %6 to i64
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #4
  store double 0.000000e+00, ptr %3, align 8, !tbaa !9
  call void @_ZNSt6vectorIdSaIdEE6assignEmRKd(ptr noundef nonnull align 8 dereferenceable(24) @log_fact, i64 noundef %7, ptr noundef nonnull align 8 dereferenceable(8) %3)
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #4
  %8 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24) @log_fact, i64 noundef 0) #4
  store double 0.000000e+00, ptr %8, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #4
  store i32 1, ptr %4, align 4, !tbaa !5
  br label %9

9:                                                ; preds = %26, %1
  %10 = load i32, ptr %4, align 4, !tbaa !5
  %11 = load i32, ptr %2, align 4, !tbaa !5
  %12 = icmp sle i32 %10, %11
  br i1 %12, label %14, label %13

13:                                               ; preds = %9
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #4
  br label %29

14:                                               ; preds = %9
  %15 = load i32, ptr %4, align 4, !tbaa !5
  %16 = sub nsw i32 %15, 1
  %17 = sext i32 %16 to i64
  %18 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24) @log_fact, i64 noundef %17) #4
  %19 = load double, ptr %18, align 8, !tbaa !9
  %20 = load i32, ptr %4, align 4, !tbaa !5
  %21 = call noundef double @_ZSt3logIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef %20)
  %22 = fadd double %19, %21
  %23 = load i32, ptr %4, align 4, !tbaa !5
  %24 = sext i32 %23 to i64
  %25 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24) @log_fact, i64 noundef %24) #4
  store double %22, ptr %25, align 8, !tbaa !9
  br label %26

26:                                               ; preds = %14
  %27 = load i32, ptr %4, align 4, !tbaa !5
  %28 = add nsw i32 %27, 1
  store i32 %28, ptr %4, align 4, !tbaa !5
  br label %9, !llvm.loop !11

29:                                               ; preds = %13
  ret void
}

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorIdSaIdEE6assignEmRKd(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef, ptr noundef nonnull align 8 dereferenceable(8)) #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) #2 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt3logIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef) #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 = !{!"double", !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.0" = type { %"struct.std::_Vector_base.1" }
%"struct.std::_Vector_base.1" = type { %"struct.std::_Vector_base<double, std::allocator<double>>::_Vector_impl" }
%"struct.std::_Vector_base<double, std::allocator<double>>::_Vector_impl" = type { %"struct.std::_Vector_base<double, std::allocator<double>>::_Vector_impl_data" }
%"struct.std::_Vector_base<double, std::allocator<double>>::_Vector_impl_data" = type { ptr, ptr, ptr }

@log_fact = external dso_local global %"class.std::vector.0", 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 uwtable
define dso_local void @_Z14precompute_logi(i32 noundef %0) local_unnamed_addr #1 {
  %2 = alloca double, align 8
  %3 = add i32 %0, 1
  %4 = sext i32 %3 to i64
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %2) #4
  store double 0.000000e+00, ptr %2, align 8, !tbaa !5
  call void @_ZNSt6vectorIdSaIdEE6assignEmRKd(ptr noundef nonnull align 8 dereferenceable(24) @log_fact, i64 noundef %4, ptr noundef nonnull align 8 dereferenceable(8) %2)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %2) #4
  %5 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24) @log_fact, i64 noundef 0) #4
  store double 0.000000e+00, ptr %5, align 8, !tbaa !5
  %.not7 = icmp slt i32 %0, 1
  br i1 %.not7, label %._crit_edge, label %.lr.ph.preheader

.lr.ph.preheader:                                 ; preds = %1
  %wide.trip.count = zext i32 %3 to i64
  br label %.lr.ph

._crit_edge:                                      ; preds = %.lr.ph, %1
  ret void

.lr.ph:                                           ; preds = %.lr.ph.preheader, %.lr.ph
  %indvars.iv = phi i64 [ 1, %.lr.ph.preheader ], [ %indvars.iv.next, %.lr.ph ]
  %6 = add nsw i64 %indvars.iv, -1
  %7 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24) @log_fact, i64 noundef %6) #4
  %8 = load double, ptr %7, align 8, !tbaa !5
  %9 = trunc nuw nsw i64 %indvars.iv to i32
  %10 = call noundef double @_ZSt3logIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef %9)
  %11 = fadd double %8, %10
  %12 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24) @log_fact, i64 noundef %indvars.iv) #4
  store double %11, ptr %12, align 8, !tbaa !5
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond.not = icmp eq i64 %indvars.iv.next, %wide.trip.count
  br i1 %exitcond.not, label %._crit_edge, label %.lr.ph, !llvm.loop !9
}

; Function Attrs: mustprogress uwtable
declare dso_local void @_ZNSt6vectorIdSaIdEE6assignEmRKd(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef, ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #1 align 2

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) local_unnamed_addr #2 align 2

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef double @_ZSt3logIiEN9__gnu_cxx11__enable_ifIXsr12__is_integerIT_EE7__valueEdE6__typeES2_(i32 noundef) local_unnamed_addr #3

attributes #0 = { mustprogress 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 = !{!"double", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass