; 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_sqrt(ptr noundef %0, i64 noundef %1) #1 {
  %3 = alloca ptr, align 8
  %4 = alloca i64, align 8
  %5 = alloca i64, align 8
  store ptr %0, ptr %3, align 8, !tbaa !5
  store i64 %1, ptr %4, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #3
  store i64 0, ptr %5, align 8, !tbaa !9
  br label %6

6:                                                ; preds = %19, %2
  %7 = load i64, ptr %5, align 8, !tbaa !9
  %8 = load i64, ptr %4, align 8, !tbaa !9
  %9 = icmp slt i64 %7, %8
  br i1 %9, label %10, label %22

10:                                               ; preds = %6
  %11 = load ptr, ptr %3, align 8, !tbaa !5
  %12 = load i64, ptr %5, align 8, !tbaa !9
  %13 = getelementptr inbounds double, ptr %11, i64 %12
  %14 = load double, ptr %13, align 8, !tbaa !11
  %15 = call double @sqrt(double noundef %14) #3
  %16 = load ptr, ptr %3, align 8, !tbaa !5
  %17 = load i64, ptr %5, align 8, !tbaa !9
  %18 = getelementptr inbounds double, ptr %16, i64 %17
  store double %15, ptr %18, align 8, !tbaa !11
  br label %19

19:                                               ; preds = %10
  %20 = load i64, ptr %5, align 8, !tbaa !9
  %21 = add nsw i64 %20, 1
  store i64 %21, ptr %5, align 8, !tbaa !9
  br label %6, !llvm.loop !13

22:                                               ; preds = %6
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #3
  ret void
}

; Function Attrs: nounwind
declare double @sqrt(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, !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 nounwind memory(write, argmem: readwrite) uwtable
define dso_local void @vec_ew_sqrt(ptr nocapture noundef %0, i64 noundef %1) local_unnamed_addr #0 {
  %3 = icmp sgt i64 %1, 0
  br i1 %3, label %.lr.ph.preheader, label %._crit_edge

.lr.ph.preheader:                                 ; preds = %2
  %xtraiter = and i64 %1, 3
  %4 = icmp ult i64 %1, 4
  br i1 %4, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph.preheader.new

.lr.ph.preheader.new:                             ; preds = %.lr.ph.preheader
  %unroll_iter = and i64 %1, 9223372036854775804
  br label %.lr.ph

.lr.ph:                                           ; preds = %.lr.ph, %.lr.ph.preheader.new
  %.06 = phi i64 [ 0, %.lr.ph.preheader.new ], [ %20, %.lr.ph ]
  %niter = phi i64 [ 0, %.lr.ph.preheader.new ], [ %niter.next.3, %.lr.ph ]
  %5 = getelementptr inbounds double, ptr %0, i64 %.06
  %6 = load double, ptr %5, align 8, !tbaa !5
  %7 = tail call double @sqrt(double noundef %6) #2
  store double %7, ptr %5, align 8, !tbaa !5
  %8 = or disjoint i64 %.06, 1
  %9 = getelementptr inbounds double, ptr %0, i64 %8
  %10 = load double, ptr %9, align 8, !tbaa !5
  %11 = tail call double @sqrt(double noundef %10) #2
  store double %11, ptr %9, align 8, !tbaa !5
  %12 = or disjoint i64 %.06, 2
  %13 = getelementptr inbounds double, ptr %0, i64 %12
  %14 = load double, ptr %13, align 8, !tbaa !5
  %15 = tail call double @sqrt(double noundef %14) #2
  store double %15, ptr %13, align 8, !tbaa !5
  %16 = or disjoint i64 %.06, 3
  %17 = getelementptr inbounds double, ptr %0, i64 %16
  %18 = load double, ptr %17, align 8, !tbaa !5
  %19 = tail call double @sqrt(double noundef %18) #2
  store double %19, ptr %17, align 8, !tbaa !5
  %20 = add nuw nsw i64 %.06, 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 %.lr.ph, !llvm.loop !9

._crit_edge.loopexit.unr-lcssa:                   ; preds = %.lr.ph, %.lr.ph.preheader
  %.06.unr = phi i64 [ 0, %.lr.ph.preheader ], [ %20, %.lr.ph ]
  %lcmp.mod.not = icmp eq i64 %xtraiter, 0
  br i1 %lcmp.mod.not, label %._crit_edge, label %.lr.ph.epil

.lr.ph.epil:                                      ; preds = %._crit_edge.loopexit.unr-lcssa, %.lr.ph.epil
  %.06.epil = phi i64 [ %24, %.lr.ph.epil ], [ %.06.unr, %._crit_edge.loopexit.unr-lcssa ]
  %epil.iter = phi i64 [ %epil.iter.next, %.lr.ph.epil ], [ 0, %._crit_edge.loopexit.unr-lcssa ]
  %21 = getelementptr inbounds double, ptr %0, i64 %.06.epil
  %22 = load double, ptr %21, align 8, !tbaa !5
  %23 = tail call double @sqrt(double noundef %22) #2
  store double %23, ptr %21, align 8, !tbaa !5
  %24 = add nuw nsw i64 %.06.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 %.lr.ph.epil, !llvm.loop !11

._crit_edge:                                      ; preds = %._crit_edge.loopexit.unr-lcssa, %.lr.ph.epil, %2
  ret void
}

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare double @sqrt(double noundef) local_unnamed_addr #1

attributes #0 = { 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 #1 = { 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 #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"}


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