; LLVM IR from SudeErzurumlu/matrix_eigenvalues_eigenvectors :: C (example_usage)

; 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"

@__const.main.matrix = external hidden unnamed_addr constant [2 x [2 x double]], align 16
@.str.1 = external hidden unnamed_addr constant [25 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [14 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [4 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: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #0

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

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

; Function Attrs: nounwind uwtable
define dso_local i32 @main() #1 {
  %1 = alloca i32, align 4
  %2 = alloca [2 x [2 x double]], align 16
  %3 = alloca double, align 8
  %4 = alloca [2 x double], align 16
  %5 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 32, ptr %2) #4
  call void @llvm.memcpy.p0.p0.i64(ptr align 16 %2, ptr align 16 @__const.main.matrix, i64 32, i1 false)
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #4
  call void @llvm.lifetime.start.p0(i64 16, ptr %4) #4
  %6 = getelementptr inbounds [2 x [2 x double]], ptr %2, i64 0, i64 0
  %7 = getelementptr inbounds [2 x double], ptr %4, i64 0, i64 0
  call void @calculate_eigenvalue_vector(ptr noundef %6, ptr noundef %3, ptr noundef %7)
  %8 = load double, ptr %3, align 8, !tbaa !5
  %9 = call i32 (ptr, ...) @printf(ptr noundef @.str.1, double noundef %8)
  %10 = call i32 (ptr, ...) @printf(ptr noundef @.str.2)
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #4
  store i32 0, ptr %5, align 4, !tbaa !9
  br label %11

11:                                               ; preds = %21, %0
  %12 = load i32, ptr %5, align 4, !tbaa !9
  %13 = icmp slt i32 %12, 2
  br i1 %13, label %15, label %14

14:                                               ; preds = %11
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #4
  br label %24

15:                                               ; preds = %11
  %16 = load i32, ptr %5, align 4, !tbaa !9
  %17 = sext i32 %16 to i64
  %18 = getelementptr inbounds [2 x double], ptr %4, i64 0, i64 %17
  %19 = load double, ptr %18, align 8, !tbaa !5
  %20 = call i32 (ptr, ...) @printf(ptr noundef @.str.3, double noundef %19)
  br label %21

21:                                               ; preds = %15
  %22 = load i32, ptr %5, align 4, !tbaa !9
  %23 = add nsw i32 %22, 1
  store i32 %23, ptr %5, align 4, !tbaa !9
  br label %11, !llvm.loop !11

24:                                               ; preds = %14
  call void @llvm.lifetime.end.p0(i64 16, ptr %4) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #4
  call void @llvm.lifetime.end.p0(i64 32, ptr %2) #4
  ret i32 0
}

; Function Attrs: nocallback nofree nounwind willreturn memory(argmem: readwrite)
declare void @llvm.memcpy.p0.p0.i64(ptr noalias nocapture writeonly, ptr noalias nocapture readonly, i64, i1 immarg) #3

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 = { nocallback nofree nounwind willreturn memory(argmem: readwrite) }
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/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"int", !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"

@__const.main.matrix = external hidden unnamed_addr constant [2 x [2 x double]], align 16
@.str.1 = external hidden unnamed_addr constant [25 x i8], align 1
@.str.2 = external hidden unnamed_addr constant [14 x i8], align 1
@.str.3 = external hidden unnamed_addr constant [4 x i8], align 1

; 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: nounwind uwtable
declare dso_local void @calculate_eigenvalue_vector(ptr noundef, ptr noundef, ptr noundef) local_unnamed_addr #1

; Function Attrs: nofree nounwind
declare noundef i32 @printf(ptr nocapture noundef readonly, ...) local_unnamed_addr #2

; Function Attrs: nounwind uwtable
define dso_local noundef i32 @main() local_unnamed_addr #1 {
  %1 = alloca [2 x [2 x double]], align 16
  %2 = alloca double, align 8
  %3 = alloca [2 x double], align 16
  call void @llvm.lifetime.start.p0(i64 32, ptr nonnull %1) #4
  call void @llvm.memcpy.p0.p0.i64(ptr noundef nonnull align 16 dereferenceable(32) %1, ptr noundef nonnull align 16 dereferenceable(32) @__const.main.matrix, i64 32, i1 false)
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %2) #4
  call void @llvm.lifetime.start.p0(i64 16, ptr nonnull %3) #4
  call void @calculate_eigenvalue_vector(ptr noundef nonnull %1, ptr noundef nonnull %2, ptr noundef nonnull %3)
  %4 = load double, ptr %2, align 8, !tbaa !5
  %5 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.1, double noundef %4)
  %6 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.2)
  %7 = load double, ptr %3, align 16, !tbaa !5
  %8 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.3, double noundef %7)
  %9 = getelementptr inbounds i8, ptr %3, i64 8
  %10 = load double, ptr %9, align 8, !tbaa !5
  %11 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.3, double noundef %10)
  call void @llvm.lifetime.end.p0(i64 16, ptr nonnull %3) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %2) #4
  call void @llvm.lifetime.end.p0(i64 32, ptr nonnull %1) #4
  ret i32 0
}

; Function Attrs: mustprogress nocallback nofree nounwind willreturn memory(argmem: readwrite)
declare void @llvm.memcpy.p0.p0.i64(ptr noalias nocapture writeonly, ptr noalias nocapture readonly, i64, i1 immarg) #3

attributes #0 = { mustprogress 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 = { 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" }
attributes #3 = { mustprogress nocallback nofree nounwind willreturn memory(argmem: readwrite) }
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/C++ TBAA"}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,IPSCCPPass,IndVarSimplifyPass,InferAlignmentPass,InferFunctionAttrsPass,InstCombinePass,LoopRotatePass,PostOrderFunctionAttrsPass,SROAPass,SimplifyCFGPass