; LLVM IR from Dutta-SD/Numerical_Methods :: Linear_Algebra (Cholesky_Factorization)

; 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"

@.str = external hidden unnamed_addr constant [8 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1

; 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 void @print_matrix(ptr noundef %0) #1 {
  %2 = alloca ptr, align 8
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  store ptr %0, ptr %2, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %3) #3
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #3
  store i32 0, ptr %3, align 4, !tbaa !9
  br label %5

5:                                                ; preds = %28, %1
  %6 = load i32, ptr %3, align 4, !tbaa !9
  %7 = icmp slt i32 %6, 3
  br i1 %7, label %8, label %31

8:                                                ; preds = %5
  store i32 0, ptr %4, align 4, !tbaa !9
  br label %9

9:                                                ; preds = %23, %8
  %10 = load i32, ptr %4, align 4, !tbaa !9
  %11 = icmp slt i32 %10, 3
  br i1 %11, label %12, label %26

12:                                               ; preds = %9
  %13 = load ptr, ptr %2, align 8, !tbaa !5
  %14 = load i32, ptr %3, align 4, !tbaa !9
  %15 = mul nsw i32 %14, 3
  %16 = sext i32 %15 to i64
  %17 = getelementptr inbounds double, ptr %13, i64 %16
  %18 = load i32, ptr %4, align 4, !tbaa !9
  %19 = sext i32 %18 to i64
  %20 = getelementptr inbounds double, ptr %17, i64 %19
  %21 = load double, ptr %20, align 8, !tbaa !11
  %22 = call i32 (ptr, ...) @printf(ptr noundef @.str, double noundef %21)
  br label %23

23:                                               ; preds = %12
  %24 = load i32, ptr %4, align 4, !tbaa !9
  %25 = add nsw i32 %24, 1
  store i32 %25, ptr %4, align 4, !tbaa !9
  br label %9, !llvm.loop !13

26:                                               ; preds = %9
  %27 = call i32 (ptr, ...) @printf(ptr noundef @.str.1)
  br label %28

28:                                               ; preds = %26
  %29 = load i32, ptr %3, align 4, !tbaa !9
  %30 = add nsw i32 %29, 1
  store i32 %30, ptr %3, align 4, !tbaa !9
  br label %5, !llvm.loop !15

31:                                               ; preds = %5
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #3
  call void @llvm.lifetime.end.p0(i64 4, ptr %3) #3
  ret void
}

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

declare i32 @printf(ptr noundef, ...) #2

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 = { "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 = !{!"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 = !{!12, !12, i64 0}
!12 = !{!"double", !7, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}
!15 = distinct !{!15, !14}


; 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"

@.str = external hidden unnamed_addr constant [8 x i8], align 1
@.str.1 = external hidden unnamed_addr constant [2 x i8], align 1

; Function Attrs: nofree nounwind uwtable
define dso_local void @print_matrix(ptr nocapture noundef readonly %0) local_unnamed_addr #0 {
.preheader:
  %1 = load double, ptr %0, align 8, !tbaa !5
  %2 = tail call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str, double noundef %1)
  %3 = getelementptr inbounds i8, ptr %0, i64 8
  %4 = load double, ptr %3, align 8, !tbaa !5
  %5 = tail call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str, double noundef %4)
  %6 = getelementptr inbounds i8, ptr %0, i64 16
  %7 = load double, ptr %6, align 8, !tbaa !5
  %8 = tail call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str, double noundef %7)
  %9 = tail call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.1)
  %10 = getelementptr inbounds i8, ptr %0, i64 24
  %11 = load double, ptr %10, align 8, !tbaa !5
  %12 = tail call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str, double noundef %11)
  %13 = getelementptr inbounds i8, ptr %0, i64 32
  %14 = load double, ptr %13, align 8, !tbaa !5
  %15 = tail call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str, double noundef %14)
  %16 = getelementptr inbounds i8, ptr %0, i64 40
  %17 = load double, ptr %16, align 8, !tbaa !5
  %18 = tail call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str, double noundef %17)
  %19 = tail call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.1)
  %20 = getelementptr inbounds i8, ptr %0, i64 48
  %21 = load double, ptr %20, align 8, !tbaa !5
  %22 = tail call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str, double noundef %21)
  %23 = getelementptr inbounds i8, ptr %0, i64 56
  %24 = load double, ptr %23, align 8, !tbaa !5
  %25 = tail call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str, double noundef %24)
  %26 = getelementptr inbounds i8, ptr %0, i64 64
  %27 = load double, ptr %26, align 8, !tbaa !5
  %28 = tail call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str, double noundef %27)
  %29 = tail call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.1)
  ret void
}

; Function Attrs: nofree nounwind
declare noundef i32 @printf(ptr nocapture noundef readonly, ...) local_unnamed_addr #1

attributes #0 = { nofree 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 = { nofree nounwind "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" }

!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/C++ TBAA"}


; Effective O3 passes: GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,LICMPass,LoopRotatePass,LoopSimplifyPass,PostOrderFunctionAttrsPass,SROAPass,SimplifyCFGPass,TailCallElimPass