; LLVM IR from CLASS-SZ/class_sz :: class-sz/tools (r8lib)

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

; Function Attrs: nounwind
declare double @sqrt(double noundef) #1

; Function Attrs: nounwind
declare double @pow(double noundef, double noundef) #1

; Function Attrs: nounwind uwtable
define dso_local double @r8mat_norm_fro(i32 noundef %0, i32 noundef %1, ptr noundef %2) #2 {
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  %6 = alloca ptr, align 8
  %7 = alloca i32, align 4
  %8 = alloca i32, align 4
  %9 = alloca double, align 8
  store i32 %0, ptr %4, align 4, !tbaa !5
  store i32 %1, ptr %5, align 4, !tbaa !5
  store ptr %2, ptr %6, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #3
  call void @llvm.lifetime.start.p0(i64 4, ptr %8) #3
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #3
  store double 0.000000e+00, ptr %9, align 8, !tbaa !11
  store i32 0, ptr %8, align 4, !tbaa !5
  br label %10

10:                                               ; preds = %36, %3
  %11 = load i32, ptr %8, align 4, !tbaa !5
  %12 = load i32, ptr %5, align 4, !tbaa !5
  %13 = icmp slt i32 %11, %12
  br i1 %13, label %14, label %39

14:                                               ; preds = %10
  store i32 0, ptr %7, align 4, !tbaa !5
  br label %15

15:                                               ; preds = %32, %14
  %16 = load i32, ptr %7, align 4, !tbaa !5
  %17 = load i32, ptr %4, align 4, !tbaa !5
  %18 = icmp slt i32 %16, %17
  br i1 %18, label %19, label %35

19:                                               ; preds = %15
  %20 = load double, ptr %9, align 8, !tbaa !11
  %21 = load ptr, ptr %6, align 8, !tbaa !9
  %22 = load i32, ptr %7, align 4, !tbaa !5
  %23 = load i32, ptr %8, align 4, !tbaa !5
  %24 = load i32, ptr %4, align 4, !tbaa !5
  %25 = mul nsw i32 %23, %24
  %26 = add nsw i32 %22, %25
  %27 = sext i32 %26 to i64
  %28 = getelementptr inbounds double, ptr %21, i64 %27
  %29 = load double, ptr %28, align 8, !tbaa !11
  %30 = call double @pow(double noundef %29, double noundef 2.000000e+00) #3
  %31 = fadd double %20, %30
  store double %31, ptr %9, align 8, !tbaa !11
  br label %32

32:                                               ; preds = %19
  %33 = load i32, ptr %7, align 4, !tbaa !5
  %34 = add nsw i32 %33, 1
  store i32 %34, ptr %7, align 4, !tbaa !5
  br label %15, !llvm.loop !13

35:                                               ; preds = %15
  br label %36

36:                                               ; preds = %35
  %37 = load i32, ptr %8, align 4, !tbaa !5
  %38 = add nsw i32 %37, 1
  store i32 %38, ptr %8, align 4, !tbaa !5
  br label %10, !llvm.loop !15

39:                                               ; preds = %10
  %40 = load double, ptr %9, align 8, !tbaa !11
  %41 = call double @sqrt(double noundef %40) #3
  store double %41, ptr %9, align 8, !tbaa !11
  %42 = load double, ptr %9, align 8, !tbaa !11
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #3
  call void @llvm.lifetime.end.p0(i64 4, ptr %8) #3
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #3
  ret double %42
}

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #2 = { 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 = { 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/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"any pointer", !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"

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare double @sqrt(double noundef) local_unnamed_addr #0

; Function Attrs: nofree nounwind memory(write, argmem: readwrite) uwtable
define dso_local double @r8mat_norm_fro(i32 noundef %0, i32 noundef %1, ptr nocapture noundef readonly %2) local_unnamed_addr #1 {
  %4 = icmp sgt i32 %1, 0
  %5 = icmp sgt i32 %0, 0
  %or.cond = and i1 %4, %5
  br i1 %or.cond, label %.preheader.us.preheader, label %._crit_edge19

.preheader.us.preheader:                          ; preds = %3
  %6 = zext nneg i32 %0 to i64
  %wide.trip.count26 = zext nneg i32 %1 to i64
  %xtraiter = and i64 %6, 3
  %7 = icmp ult i32 %0, 4
  %unroll_iter = and i64 %6, 2147483644
  %lcmp.mod.not = icmp eq i64 %xtraiter, 0
  br label %.preheader.us

.preheader.us:                                    ; preds = %.preheader.us.preheader, %._crit_edge.us
  %indvars.iv23 = phi i64 [ 0, %.preheader.us.preheader ], [ %indvars.iv.next24, %._crit_edge.us ]
  %.018.us = phi double [ 0.000000e+00, %.preheader.us.preheader ], [ %.lcssa, %._crit_edge.us ]
  %8 = mul nuw nsw i64 %indvars.iv23, %6
  %invariant.gep = getelementptr inbounds double, ptr %2, i64 %8
  br i1 %7, label %._crit_edge.us.unr-lcssa, label %.preheader.us.new

.preheader.us.new:                                ; preds = %.preheader.us, %.preheader.us.new
  %indvars.iv = phi i64 [ %indvars.iv.next.3, %.preheader.us.new ], [ 0, %.preheader.us ]
  %.116.us = phi double [ %16, %.preheader.us.new ], [ %.018.us, %.preheader.us ]
  %niter = phi i64 [ %niter.next.3, %.preheader.us.new ], [ 0, %.preheader.us ]
  %gep = getelementptr inbounds double, ptr %invariant.gep, i64 %indvars.iv
  %9 = load double, ptr %gep, align 8, !tbaa !5
  %square.us = fmul double %9, %9
  %10 = fadd double %.116.us, %square.us
  %indvars.iv.next = or disjoint i64 %indvars.iv, 1
  %gep.1 = getelementptr inbounds double, ptr %invariant.gep, i64 %indvars.iv.next
  %11 = load double, ptr %gep.1, align 8, !tbaa !5
  %square.us.1 = fmul double %11, %11
  %12 = fadd double %10, %square.us.1
  %indvars.iv.next.1 = or disjoint i64 %indvars.iv, 2
  %gep.2 = getelementptr inbounds double, ptr %invariant.gep, i64 %indvars.iv.next.1
  %13 = load double, ptr %gep.2, align 8, !tbaa !5
  %square.us.2 = fmul double %13, %13
  %14 = fadd double %12, %square.us.2
  %indvars.iv.next.2 = or disjoint i64 %indvars.iv, 3
  %gep.3 = getelementptr inbounds double, ptr %invariant.gep, i64 %indvars.iv.next.2
  %15 = load double, ptr %gep.3, align 8, !tbaa !5
  %square.us.3 = fmul double %15, %15
  %16 = fadd double %14, %square.us.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.us.unr-lcssa, label %.preheader.us.new, !llvm.loop !9

._crit_edge.us.unr-lcssa:                         ; preds = %.preheader.us.new, %.preheader.us
  %.lcssa.ph = phi double [ poison, %.preheader.us ], [ %16, %.preheader.us.new ]
  %indvars.iv.unr = phi i64 [ 0, %.preheader.us ], [ %indvars.iv.next.3, %.preheader.us.new ]
  %.116.us.unr = phi double [ %.018.us, %.preheader.us ], [ %16, %.preheader.us.new ]
  br i1 %lcmp.mod.not, label %._crit_edge.us, label %.epil.preheader

.epil.preheader:                                  ; preds = %._crit_edge.us.unr-lcssa, %.epil.preheader
  %indvars.iv.epil = phi i64 [ %indvars.iv.next.epil, %.epil.preheader ], [ %indvars.iv.unr, %._crit_edge.us.unr-lcssa ]
  %.116.us.epil = phi double [ %18, %.epil.preheader ], [ %.116.us.unr, %._crit_edge.us.unr-lcssa ]
  %epil.iter = phi i64 [ %epil.iter.next, %.epil.preheader ], [ 0, %._crit_edge.us.unr-lcssa ]
  %gep.epil = getelementptr inbounds double, ptr %invariant.gep, i64 %indvars.iv.epil
  %17 = load double, ptr %gep.epil, align 8, !tbaa !5
  %square.us.epil = fmul double %17, %17
  %18 = fadd double %.116.us.epil, %square.us.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.us, label %.epil.preheader, !llvm.loop !11

._crit_edge.us:                                   ; preds = %.epil.preheader, %._crit_edge.us.unr-lcssa
  %.lcssa = phi double [ %.lcssa.ph, %._crit_edge.us.unr-lcssa ], [ %18, %.epil.preheader ]
  %indvars.iv.next24 = add nuw nsw i64 %indvars.iv23, 1
  %exitcond27.not = icmp eq i64 %indvars.iv.next24, %wide.trip.count26
  br i1 %exitcond27.not, label %._crit_edge19, label %.preheader.us, !llvm.loop !13

._crit_edge19:                                    ; preds = %._crit_edge.us, %3
  %.0.lcssa = phi double [ 0.000000e+00, %3 ], [ %.lcssa, %._crit_edge.us ]
  %19 = tail call double @sqrt(double noundef %.0.lcssa) #2
  ret double %19
}

attributes #0 = { mustprogress nofree nounwind willreturn memory(write) "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 memory(write, argmem: readwrite) 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 }

!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 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.unroll.disable"}
!13 = distinct !{!13, !10}


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