; LLVM IR from HRI-EU/Rcs :: src/RcsCore (Rcs_MatNd)

; 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"

%struct._MatNd = type { ptr, i32, i32, i32, i8 }

; 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 double @MatNd_mean(ptr noundef) #1

; Function Attrs: nounwind uwtable
define dso_local double @MatNd_variance(ptr noundef %0) #1 {
  %2 = alloca double, align 8
  %3 = alloca ptr, align 8
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca double, align 8
  %7 = alloca double, align 8
  %8 = alloca i32, align 4
  store ptr %0, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #3
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #3
  %9 = load ptr, ptr %3, align 8, !tbaa !5
  %10 = getelementptr inbounds %struct._MatNd, ptr %9, i32 0, i32 1
  %11 = load i32, ptr %10, align 8, !tbaa !9
  %12 = load ptr, ptr %3, align 8, !tbaa !5
  %13 = getelementptr inbounds %struct._MatNd, ptr %12, i32 0, i32 2
  %14 = load i32, ptr %13, align 4, !tbaa !13
  %15 = mul i32 %11, %14
  store i32 %15, ptr %5, align 4, !tbaa !14
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #3
  %16 = load ptr, ptr %3, align 8, !tbaa !5
  %17 = call double @MatNd_mean(ptr noundef %16)
  store double %17, ptr %6, align 8, !tbaa !15
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #3
  store double 0.000000e+00, ptr %7, align 8, !tbaa !15
  %18 = load i32, ptr %5, align 4, !tbaa !14
  %19 = icmp eq i32 %18, 0
  br i1 %19, label %20, label %21

20:                                               ; preds = %1
  store double 0.000000e+00, ptr %2, align 8
  store i32 1, ptr %8, align 4
  br label %47

21:                                               ; preds = %1
  store i32 0, ptr %4, align 4, !tbaa !14
  br label %22

22:                                               ; preds = %39, %21
  %23 = load i32, ptr %4, align 4, !tbaa !14
  %24 = load i32, ptr %5, align 4, !tbaa !14
  %25 = icmp slt i32 %23, %24
  br i1 %25, label %26, label %42

26:                                               ; preds = %22
  %27 = load ptr, ptr %3, align 8, !tbaa !5
  %28 = getelementptr inbounds %struct._MatNd, ptr %27, i32 0, i32 0
  %29 = load ptr, ptr %28, align 8, !tbaa !17
  %30 = load i32, ptr %4, align 4, !tbaa !14
  %31 = sext i32 %30 to i64
  %32 = getelementptr inbounds double, ptr %29, i64 %31
  %33 = load double, ptr %32, align 8, !tbaa !15
  %34 = load double, ptr %6, align 8, !tbaa !15
  %35 = fsub double %33, %34
  %36 = call double @pow(double noundef %35, double noundef 2.000000e+00) #3
  %37 = load double, ptr %7, align 8, !tbaa !15
  %38 = fadd double %37, %36
  store double %38, ptr %7, align 8, !tbaa !15
  br label %39

39:                                               ; preds = %26
  %40 = load i32, ptr %4, align 4, !tbaa !14
  %41 = add nsw i32 %40, 1
  store i32 %41, ptr %4, align 4, !tbaa !14
  br label %22, !llvm.loop !18

42:                                               ; preds = %22
  %43 = load double, ptr %7, align 8, !tbaa !15
  %44 = load i32, ptr %5, align 4, !tbaa !14
  %45 = sitofp i32 %44 to double
  %46 = fdiv double %43, %45
  store double %46, ptr %2, align 8
  store i32 1, ptr %8, align 4
  br label %47

47:                                               ; preds = %42, %20
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #3
  call void @llvm.lifetime.end.p0(i64 8, 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
  %48 = load double, ptr %2, align 8
  ret double %48
}

; Function Attrs: nounwind
declare double @pow(double noundef, double 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 = { 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 = { 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, !11, i64 8}
!10 = !{!"_MatNd", !6, i64 0, !11, i64 8, !11, i64 12, !11, i64 16, !12, i64 20}
!11 = !{!"int", !7, i64 0}
!12 = !{!"_Bool", !7, i64 0}
!13 = !{!10, !11, i64 12}
!14 = !{!11, !11, i64 0}
!15 = !{!16, !16, i64 0}
!16 = !{!"double", !7, i64 0}
!17 = !{!10, !6, i64 0}
!18 = distinct !{!18, !19}
!19 = !{!"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
declare dso_local double @MatNd_mean(ptr noundef) local_unnamed_addr #0

; Function Attrs: nounwind uwtable
define dso_local double @MatNd_variance(ptr noundef %0) local_unnamed_addr #0 {
  %2 = getelementptr inbounds i8, ptr %0, i64 8
  %3 = load i32, ptr %2, align 8, !tbaa !5
  %4 = getelementptr inbounds i8, ptr %0, i64 12
  %5 = load i32, ptr %4, align 4, !tbaa !12
  %6 = mul i32 %5, %3
  %7 = tail call double @MatNd_mean(ptr noundef %0)
  %8 = icmp eq i32 %6, 0
  br i1 %8, label %35, label %.preheader

.preheader:                                       ; preds = %1
  %9 = icmp sgt i32 %6, 0
  br i1 %9, label %.lr.ph, label %._crit_edge

.lr.ph:                                           ; preds = %.preheader
  %10 = load ptr, ptr %0, align 8, !tbaa !13
  %wide.trip.count = zext nneg i32 %6 to i64
  %xtraiter = and i64 %wide.trip.count, 3
  %11 = icmp ult i32 %6, 4
  br i1 %11, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph.new

.lr.ph.new:                                       ; preds = %.lr.ph
  %unroll_iter = and i64 %wide.trip.count, 2147483644
  br label %12

12:                                               ; preds = %12, %.lr.ph.new
  %indvars.iv = phi i64 [ 0, %.lr.ph.new ], [ %indvars.iv.next.3, %12 ]
  %.017 = phi double [ 0.000000e+00, %.lr.ph.new ], [ %28, %12 ]
  %niter = phi i64 [ 0, %.lr.ph.new ], [ %niter.next.3, %12 ]
  %13 = getelementptr inbounds double, ptr %10, i64 %indvars.iv
  %14 = load double, ptr %13, align 8, !tbaa !14
  %15 = fsub double %14, %7
  %square = fmul double %15, %15
  %16 = fadd double %.017, %square
  %indvars.iv.next = or disjoint i64 %indvars.iv, 1
  %17 = getelementptr inbounds double, ptr %10, i64 %indvars.iv.next
  %18 = load double, ptr %17, align 8, !tbaa !14
  %19 = fsub double %18, %7
  %square.1 = fmul double %19, %19
  %20 = fadd double %16, %square.1
  %indvars.iv.next.1 = or disjoint i64 %indvars.iv, 2
  %21 = getelementptr inbounds double, ptr %10, i64 %indvars.iv.next.1
  %22 = load double, ptr %21, align 8, !tbaa !14
  %23 = fsub double %22, %7
  %square.2 = fmul double %23, %23
  %24 = fadd double %20, %square.2
  %indvars.iv.next.2 = or disjoint i64 %indvars.iv, 3
  %25 = getelementptr inbounds double, ptr %10, i64 %indvars.iv.next.2
  %26 = load double, ptr %25, align 8, !tbaa !14
  %27 = fsub double %26, %7
  %square.3 = fmul double %27, %27
  %28 = fadd double %24, %square.3
  %indvars.iv.next.3 = add nuw nsw i64 %indvars.iv, 4
  %niter.next.3 = add i64 %niter, 4
  %niter.ncmp.3 = icmp eq i64 %niter.next.3, %unroll_iter
  br i1 %niter.ncmp.3, label %._crit_edge.loopexit.unr-lcssa, label %12, !llvm.loop !16

._crit_edge.loopexit.unr-lcssa:                   ; preds = %12, %.lr.ph
  %.lcssa.ph = phi double [ poison, %.lr.ph ], [ %28, %12 ]
  %indvars.iv.unr = phi i64 [ 0, %.lr.ph ], [ %indvars.iv.next.3, %12 ]
  %.017.unr = phi double [ 0.000000e+00, %.lr.ph ], [ %28, %12 ]
  %lcmp.mod.not = icmp eq i64 %xtraiter, 0
  br i1 %lcmp.mod.not, label %._crit_edge, label %.epil.preheader

.epil.preheader:                                  ; preds = %._crit_edge.loopexit.unr-lcssa, %.epil.preheader
  %indvars.iv.epil = phi i64 [ %indvars.iv.next.epil, %.epil.preheader ], [ %indvars.iv.unr, %._crit_edge.loopexit.unr-lcssa ]
  %.017.epil = phi double [ %32, %.epil.preheader ], [ %.017.unr, %._crit_edge.loopexit.unr-lcssa ]
  %epil.iter = phi i64 [ %epil.iter.next, %.epil.preheader ], [ 0, %._crit_edge.loopexit.unr-lcssa ]
  %29 = getelementptr inbounds double, ptr %10, i64 %indvars.iv.epil
  %30 = load double, ptr %29, align 8, !tbaa !14
  %31 = fsub double %30, %7
  %square.epil = fmul double %31, %31
  %32 = fadd double %.017.epil, %square.epil
  %indvars.iv.next.epil = add nuw nsw i64 %indvars.iv.epil, 1
  %epil.iter.next = add i64 %epil.iter, 1
  %epil.iter.cmp.not = icmp eq i64 %epil.iter.next, %xtraiter
  br i1 %epil.iter.cmp.not, label %._crit_edge, label %.epil.preheader, !llvm.loop !18

._crit_edge:                                      ; preds = %._crit_edge.loopexit.unr-lcssa, %.epil.preheader, %.preheader
  %.0.lcssa = phi double [ 0.000000e+00, %.preheader ], [ %.lcssa.ph, %._crit_edge.loopexit.unr-lcssa ], [ %32, %.epil.preheader ]
  %33 = sitofp i32 %6 to double
  %34 = fdiv double %.0.lcssa, %33
  br label %35

35:                                               ; preds = %1, %._crit_edge
  %.013 = phi double [ %34, %._crit_edge ], [ 0.000000e+00, %1 ]
  ret double %.013
}

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" }

!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, !10, i64 8}
!6 = !{!"_MatNd", !7, i64 0, !10, i64 8, !10, i64 12, !10, i64 16, !11, i64 20}
!7 = !{!"any pointer", !8, i64 0}
!8 = !{!"omnipotent char", !9, i64 0}
!9 = !{!"Simple C/C++ TBAA"}
!10 = !{!"int", !8, i64 0}
!11 = !{!"_Bool", !8, i64 0}
!12 = !{!6, !10, i64 12}
!13 = !{!6, !7, i64 0}
!14 = !{!15, !15, i64 0}
!15 = !{!"double", !8, i64 0}
!16 = distinct !{!16, !17}
!17 = !{!"llvm.loop.mustprogress"}
!18 = distinct !{!18, !19}
!19 = !{!"llvm.loop.unroll.disable"}


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