; LLVM IR from Derek-TH-Wang/quadruped_ctrl :: src/osqp/src (lin_alg)

; 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 uwtable
define dso_local void @vec_ew_recipr(ptr noundef %0, ptr noundef %1, i64 noundef %2) #1 {
  %4 = alloca ptr, align 8
  %5 = alloca ptr, align 8
  %6 = alloca i64, align 8
  %7 = alloca i64, align 8
  store ptr %0, ptr %4, align 8, !tbaa !5
  store ptr %1, ptr %5, align 8, !tbaa !5
  store i64 %2, ptr %6, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #2
  store i64 0, ptr %7, align 8, !tbaa !9
  br label %8

8:                                                ; preds = %21, %3
  %9 = load i64, ptr %7, align 8, !tbaa !9
  %10 = load i64, ptr %6, align 8, !tbaa !9
  %11 = icmp slt i64 %9, %10
  br i1 %11, label %12, label %24

12:                                               ; preds = %8
  %13 = load ptr, ptr %4, align 8, !tbaa !5
  %14 = load i64, ptr %7, align 8, !tbaa !9
  %15 = getelementptr inbounds double, ptr %13, i64 %14
  %16 = load double, ptr %15, align 8, !tbaa !11
  %17 = fdiv double 1.000000e+00, %16
  %18 = load ptr, ptr %5, align 8, !tbaa !5
  %19 = load i64, ptr %7, align 8, !tbaa !9
  %20 = getelementptr inbounds double, ptr %18, i64 %19
  store double %17, ptr %20, align 8, !tbaa !11
  br label %21

21:                                               ; preds = %12
  %22 = load i64, ptr %7, align 8, !tbaa !9
  %23 = add nsw i64 %22, 1
  store i64 %23, ptr %7, align 8, !tbaa !9
  br label %8, !llvm.loop !13

24:                                               ; preds = %8
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #2
  ret void
}

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 }

!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 = !{!"long long", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"double", !7, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"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: nofree norecurse nosync nounwind memory(argmem: readwrite) uwtable
define dso_local void @vec_ew_recipr(ptr nocapture noundef readonly %0, ptr nocapture noundef writeonly %1, i64 noundef %2) local_unnamed_addr #0 {
  %4 = icmp sgt i64 %2, 0
  br i1 %4, label %.lr.ph.preheader, label %._crit_edge

.lr.ph.preheader:                                 ; preds = %3
  %5 = ptrtoint ptr %1 to i64
  %6 = ptrtoint ptr %0 to i64
  %min.iters.check = icmp eq i64 %2, 1
  %7 = sub i64 %5, %6
  %diff.check = icmp ult i64 %7, 16
  %or.cond = or i1 %min.iters.check, %diff.check
  br i1 %or.cond, label %.lr.ph.preheader7, label %vector.ph

vector.ph:                                        ; preds = %.lr.ph.preheader
  %n.vec = and i64 %2, 9223372036854775806
  br label %vector.body

vector.body:                                      ; preds = %vector.body, %vector.ph
  %index = phi i64 [ 0, %vector.ph ], [ %index.next, %vector.body ]
  %8 = getelementptr inbounds double, ptr %0, i64 %index
  %wide.load = load <2 x double>, ptr %8, align 8, !tbaa !5
  %9 = fdiv <2 x double> <double 1.000000e+00, double 1.000000e+00>, %wide.load
  %10 = getelementptr inbounds double, ptr %1, i64 %index
  store <2 x double> %9, ptr %10, align 8, !tbaa !5
  %index.next = add nuw i64 %index, 2
  %11 = icmp eq i64 %index.next, %n.vec
  br i1 %11, label %middle.block, label %vector.body, !llvm.loop !9

middle.block:                                     ; preds = %vector.body
  %cmp.n = icmp eq i64 %n.vec, %2
  br i1 %cmp.n, label %._crit_edge, label %.lr.ph.preheader7

.lr.ph.preheader7:                                ; preds = %middle.block, %.lr.ph.preheader
  %.06.ph = phi i64 [ 0, %.lr.ph.preheader ], [ %n.vec, %middle.block ]
  %12 = sub nsw i64 %2, %.06.ph
  %xtraiter = and i64 %12, 3
  %lcmp.mod.not = icmp eq i64 %xtraiter, 0
  br i1 %lcmp.mod.not, label %.lr.ph.prol.loopexit, label %.lr.ph.prol

.lr.ph.prol:                                      ; preds = %.lr.ph.preheader7, %.lr.ph.prol
  %.06.prol = phi i64 [ %17, %.lr.ph.prol ], [ %.06.ph, %.lr.ph.preheader7 ]
  %prol.iter = phi i64 [ %prol.iter.next, %.lr.ph.prol ], [ 0, %.lr.ph.preheader7 ]
  %13 = getelementptr inbounds double, ptr %0, i64 %.06.prol
  %14 = load double, ptr %13, align 8, !tbaa !5
  %15 = fdiv double 1.000000e+00, %14
  %16 = getelementptr inbounds double, ptr %1, i64 %.06.prol
  store double %15, ptr %16, align 8, !tbaa !5
  %17 = add nuw nsw i64 %.06.prol, 1
  %prol.iter.next = add i64 %prol.iter, 1
  %prol.iter.cmp.not = icmp eq i64 %prol.iter.next, %xtraiter
  br i1 %prol.iter.cmp.not, label %.lr.ph.prol.loopexit, label %.lr.ph.prol, !llvm.loop !13

.lr.ph.prol.loopexit:                             ; preds = %.lr.ph.prol, %.lr.ph.preheader7
  %.06.unr = phi i64 [ %.06.ph, %.lr.ph.preheader7 ], [ %17, %.lr.ph.prol ]
  %18 = sub nsw i64 %.06.ph, %2
  %19 = icmp ugt i64 %18, -4
  br i1 %19, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %.lr.ph.prol.loopexit, %.lr.ph
  %.06 = phi i64 [ %39, %.lr.ph ], [ %.06.unr, %.lr.ph.prol.loopexit ]
  %20 = getelementptr inbounds double, ptr %0, i64 %.06
  %21 = load double, ptr %20, align 8, !tbaa !5
  %22 = fdiv double 1.000000e+00, %21
  %23 = getelementptr inbounds double, ptr %1, i64 %.06
  store double %22, ptr %23, align 8, !tbaa !5
  %24 = add nuw nsw i64 %.06, 1
  %25 = getelementptr inbounds double, ptr %0, i64 %24
  %26 = load double, ptr %25, align 8, !tbaa !5
  %27 = fdiv double 1.000000e+00, %26
  %28 = getelementptr inbounds double, ptr %1, i64 %24
  store double %27, ptr %28, align 8, !tbaa !5
  %29 = add nuw nsw i64 %.06, 2
  %30 = getelementptr inbounds double, ptr %0, i64 %29
  %31 = load double, ptr %30, align 8, !tbaa !5
  %32 = fdiv double 1.000000e+00, %31
  %33 = getelementptr inbounds double, ptr %1, i64 %29
  store double %32, ptr %33, align 8, !tbaa !5
  %34 = add nuw nsw i64 %.06, 3
  %35 = getelementptr inbounds double, ptr %0, i64 %34
  %36 = load double, ptr %35, align 8, !tbaa !5
  %37 = fdiv double 1.000000e+00, %36
  %38 = getelementptr inbounds double, ptr %1, i64 %34
  store double %37, ptr %38, align 8, !tbaa !5
  %39 = add nuw nsw i64 %.06, 4
  %exitcond.not.3 = icmp eq i64 %39, %2
  br i1 %exitcond.not.3, label %._crit_edge, label %.lr.ph, !llvm.loop !15

._crit_edge:                                      ; preds = %.lr.ph.prol.loopexit, %.lr.ph, %middle.block, %3
  ret void
}

attributes #0 = { nofree norecurse nosync nounwind memory(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" }

!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, !11, !12}
!10 = !{!"llvm.loop.mustprogress"}
!11 = !{!"llvm.loop.isvectorized", i32 1}
!12 = !{!"llvm.loop.unroll.runtime.disable"}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.unroll.disable"}
!15 = distinct !{!15, !10, !11}


; Effective O3 passes: GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopLoadEliminationPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,LoopVectorizePass,PostOrderFunctionAttrsPass,SROAPass,SimplifyCFGPass