; LLVM IR from sympiler/nasoq :: src/QP/qp_utils.ll (ZN5nasoq23Fischer_Burmeister_funcEiPdS0_S0_)

; 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 speculatable willreturn memory(none)
declare double @llvm.fmuladd.f64(double, double, double) #1

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

; Function Attrs: mustprogress nounwind uwtable
define dso_local void @_ZN5nasoq23Fischer_Burmeister_funcEiPdS0_S0_(i32 noundef %0, ptr noundef %1, ptr noundef %2, ptr noundef %3) #2 {
  %5 = alloca i32, align 4
  %6 = alloca ptr, align 8
  %7 = alloca ptr, align 8
  %8 = alloca ptr, align 8
  %9 = alloca i32, align 4
  %10 = alloca double, align 8
  %11 = alloca double, align 8
  store i32 %0, ptr %5, align 4, !tbaa !5
  store ptr %1, ptr %6, align 8, !tbaa !9
  store ptr %2, ptr %7, align 8, !tbaa !9
  store ptr %3, ptr %8, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %9) #4
  store i32 0, ptr %9, align 4, !tbaa !5
  br label %12

12:                                               ; preds = %43, %4
  %13 = load i32, ptr %9, align 4, !tbaa !5
  %14 = load i32, ptr %5, align 4, !tbaa !5
  %15 = icmp slt i32 %13, %14
  br i1 %15, label %17, label %16

16:                                               ; preds = %12
  call void @llvm.lifetime.end.p0(i64 4, ptr %9) #4
  br label %46

17:                                               ; preds = %12
  call void @llvm.lifetime.start.p0(i64 8, ptr %10) #4
  %18 = load ptr, ptr %6, align 8, !tbaa !9
  %19 = load i32, ptr %9, align 4, !tbaa !5
  %20 = sext i32 %19 to i64
  %21 = getelementptr inbounds double, ptr %18, i64 %20
  %22 = load double, ptr %21, align 8, !tbaa !11
  store double %22, ptr %10, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %11) #4
  %23 = load ptr, ptr %7, align 8, !tbaa !9
  %24 = load i32, ptr %9, align 4, !tbaa !5
  %25 = sext i32 %24 to i64
  %26 = getelementptr inbounds double, ptr %23, i64 %25
  %27 = load double, ptr %26, align 8, !tbaa !11
  store double %27, ptr %11, align 8, !tbaa !11
  %28 = load double, ptr %10, align 8, !tbaa !11
  %29 = load double, ptr %11, align 8, !tbaa !11
  %30 = fadd double %28, %29
  %31 = load double, ptr %10, align 8, !tbaa !11
  %32 = load double, ptr %10, align 8, !tbaa !11
  %33 = load double, ptr %11, align 8, !tbaa !11
  %34 = load double, ptr %11, align 8, !tbaa !11
  %35 = fmul double %33, %34
  %36 = call double @llvm.fmuladd.f64(double %31, double %32, double %35)
  %37 = call double @sqrt(double noundef %36) #4
  %38 = fsub double %30, %37
  %39 = load ptr, ptr %8, align 8, !tbaa !9
  %40 = load i32, ptr %9, align 4, !tbaa !5
  %41 = sext i32 %40 to i64
  %42 = getelementptr inbounds double, ptr %39, i64 %41
  store double %38, ptr %42, align 8, !tbaa !11
  call void @llvm.lifetime.end.p0(i64 8, ptr %11) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %10) #4
  br label %43

43:                                               ; preds = %17
  %44 = load i32, ptr %9, align 4, !tbaa !5
  %45 = add nsw i32 %44, 1
  store i32 %45, ptr %9, align 4, !tbaa !5
  br label %12, !llvm.loop !13

46:                                               ; preds = %16
  ret void
}

; Function Attrs: nounwind
declare double @sqrt(double noundef) #3

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #2 = { mustprogress 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 "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 #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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple 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"}


; 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 nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fmuladd.f64(double, double, double) #0

; Function Attrs: mustprogress nofree norecurse nosync nounwind memory(argmem: readwrite) uwtable
define dso_local void @_ZN5nasoq23Fischer_Burmeister_funcEiPdS0_S0_(i32 noundef %0, ptr nocapture noundef readonly %1, ptr nocapture noundef readonly %2, ptr nocapture noundef writeonly %3) local_unnamed_addr #1 {
  %5 = ptrtoint ptr %2 to i64
  %6 = ptrtoint ptr %1 to i64
  %7 = ptrtoint ptr %3 to i64
  %8 = icmp sgt i32 %0, 0
  br i1 %8, label %.lr.ph.preheader, label %._crit_edge

.lr.ph.preheader:                                 ; preds = %4
  %wide.trip.count = zext nneg i32 %0 to i64
  %min.iters.check = icmp eq i32 %0, 1
  br i1 %min.iters.check, label %.lr.ph.preheader18, label %vector.memcheck

.lr.ph.preheader18:                               ; preds = %middle.block, %vector.memcheck, %.lr.ph.preheader
  %indvars.iv.ph = phi i64 [ 0, %vector.memcheck ], [ 0, %.lr.ph.preheader ], [ %n.vec, %middle.block ]
  %xtraiter = and i64 %wide.trip.count, 1
  %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.preheader18
  %9 = getelementptr inbounds double, ptr %1, i64 %indvars.iv.ph
  %10 = load double, ptr %9, align 8, !tbaa !5
  %11 = getelementptr inbounds double, ptr %2, i64 %indvars.iv.ph
  %12 = load double, ptr %11, align 8, !tbaa !5
  %13 = fadd double %10, %12
  %14 = fmul double %12, %12
  %15 = tail call double @llvm.fmuladd.f64(double %10, double %10, double %14)
  %sqrt.prol = tail call double @llvm.sqrt.f64(double %15)
  %16 = fsub double %13, %sqrt.prol
  %17 = getelementptr inbounds double, ptr %3, i64 %indvars.iv.ph
  store double %16, ptr %17, align 8, !tbaa !5
  %indvars.iv.next.prol = or disjoint i64 %indvars.iv.ph, 1
  br label %.lr.ph.prol.loopexit

.lr.ph.prol.loopexit:                             ; preds = %.lr.ph.prol, %.lr.ph.preheader18
  %indvars.iv.unr = phi i64 [ %indvars.iv.ph, %.lr.ph.preheader18 ], [ %indvars.iv.next.prol, %.lr.ph.prol ]
  %18 = add nsw i64 %wide.trip.count, -1
  %19 = icmp eq i64 %indvars.iv.ph, %18
  br i1 %19, label %._crit_edge, label %.lr.ph

vector.memcheck:                                  ; preds = %.lr.ph.preheader
  %20 = sub i64 %7, %6
  %diff.check = icmp ult i64 %20, 16
  %21 = sub i64 %7, %5
  %diff.check16 = icmp ult i64 %21, 16
  %conflict.rdx = or i1 %diff.check, %diff.check16
  br i1 %conflict.rdx, label %.lr.ph.preheader18, label %vector.ph

vector.ph:                                        ; preds = %vector.memcheck
  %n.vec = and i64 %wide.trip.count, 2147483646
  br label %vector.body

vector.body:                                      ; preds = %vector.body, %vector.ph
  %index = phi i64 [ 0, %vector.ph ], [ %index.next, %vector.body ]
  %22 = getelementptr inbounds double, ptr %1, i64 %index
  %wide.load = load <2 x double>, ptr %22, align 8, !tbaa !5
  %23 = getelementptr inbounds double, ptr %2, i64 %index
  %wide.load17 = load <2 x double>, ptr %23, align 8, !tbaa !5
  %24 = fadd <2 x double> %wide.load, %wide.load17
  %25 = fmul <2 x double> %wide.load17, %wide.load17
  %26 = tail call <2 x double> @llvm.fmuladd.v2f64(<2 x double> %wide.load, <2 x double> %wide.load, <2 x double> %25)
  %27 = tail call <2 x double> @llvm.sqrt.v2f64(<2 x double> %26)
  %28 = fsub <2 x double> %24, %27
  %29 = getelementptr inbounds double, ptr %3, i64 %index
  store <2 x double> %28, ptr %29, align 8, !tbaa !5
  %index.next = add nuw i64 %index, 2
  %30 = icmp eq i64 %index.next, %n.vec
  br i1 %30, label %middle.block, label %vector.body, !llvm.loop !9

middle.block:                                     ; preds = %vector.body
  %cmp.n = icmp eq i64 %n.vec, %wide.trip.count
  br i1 %cmp.n, label %._crit_edge, label %.lr.ph.preheader18

._crit_edge:                                      ; preds = %.lr.ph.prol.loopexit, %.lr.ph, %middle.block, %4
  ret void

.lr.ph:                                           ; preds = %.lr.ph.prol.loopexit, %.lr.ph
  %indvars.iv = phi i64 [ %indvars.iv.next.1, %.lr.ph ], [ %indvars.iv.unr, %.lr.ph.prol.loopexit ]
  %31 = getelementptr inbounds double, ptr %1, i64 %indvars.iv
  %32 = load double, ptr %31, align 8, !tbaa !5
  %33 = getelementptr inbounds double, ptr %2, i64 %indvars.iv
  %34 = load double, ptr %33, align 8, !tbaa !5
  %35 = fadd double %32, %34
  %36 = fmul double %34, %34
  %37 = tail call double @llvm.fmuladd.f64(double %32, double %32, double %36)
  %sqrt = tail call double @llvm.sqrt.f64(double %37)
  %38 = fsub double %35, %sqrt
  %39 = getelementptr inbounds double, ptr %3, i64 %indvars.iv
  store double %38, ptr %39, align 8, !tbaa !5
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %40 = getelementptr inbounds double, ptr %1, i64 %indvars.iv.next
  %41 = load double, ptr %40, align 8, !tbaa !5
  %42 = getelementptr inbounds double, ptr %2, i64 %indvars.iv.next
  %43 = load double, ptr %42, align 8, !tbaa !5
  %44 = fadd double %41, %43
  %45 = fmul double %43, %43
  %46 = tail call double @llvm.fmuladd.f64(double %41, double %41, double %45)
  %sqrt.1 = tail call double @llvm.sqrt.f64(double %46)
  %47 = fsub double %44, %sqrt.1
  %48 = getelementptr inbounds double, ptr %3, i64 %indvars.iv.next
  store double %47, ptr %48, align 8, !tbaa !5
  %indvars.iv.next.1 = add nuw nsw i64 %indvars.iv, 2
  %exitcond.not.1 = icmp eq i64 %indvars.iv.next.1, %wide.trip.count
  br i1 %exitcond.not.1, label %._crit_edge, label %.lr.ph, !llvm.loop !13
}

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.sqrt.f64(double) #2

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare <2 x double> @llvm.fmuladd.v2f64(<2 x double>, <2 x double>, <2 x double>) #2

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare <2 x double> @llvm.sqrt.v2f64(<2 x double>) #2

attributes #0 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #1 = { mustprogress 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" }
attributes #2 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }

!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++ 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, !10, !11}


; Effective O3 passes: AggressiveInstCombinePass,EarlyCSEPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LoopLoadEliminationPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,LoopVectorizePass,PostOrderFunctionAttrsPass,SLPVectorizerPass,SROAPass,SimplifyCFGPass,TailCallElimPass