; LLVM IR from Dimandragon/non-parametric-dsp :: alglib-cpp/src/ap.ll (ZN11alglib_impl6rsqrtrElPNS_9ae_matrixElPNS_8ae_stateE)

; 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.alglib_impl::ae_matrix" = type { i64, i64, i64, i64, i8, %"struct.alglib_impl::ae_dyn_block", %union.anon }
%"struct.alglib_impl::ae_dyn_block" = type { ptr, ptr, ptr, ptr }
%union.anon = type { ptr }

; 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: mustprogress nounwind uwtable
define dso_local void @_ZN11alglib_impl6rsqrtrElPNS_9ae_matrixElPNS_8ae_stateE(i64 noundef %0, ptr noundef %1, i64 noundef %2, ptr noundef %3) #2 {
  %5 = alloca i64, align 8
  %6 = alloca ptr, align 8
  %7 = alloca i64, align 8
  %8 = alloca ptr, align 8
  %9 = alloca i64, align 8
  store i64 %0, ptr %5, align 8, !tbaa !5
  store ptr %1, ptr %6, align 8, !tbaa !9
  store i64 %2, ptr %7, align 8, !tbaa !5
  store ptr %3, ptr %8, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #3
  %10 = load i64, ptr %5, align 8, !tbaa !5
  %11 = icmp sge i64 %10, 16
  br i1 %11, label %12, label %13

12:                                               ; preds = %4
  br label %13

13:                                               ; preds = %12, %4
  store i64 0, ptr %9, align 8, !tbaa !5
  br label %14

14:                                               ; preds = %38, %13
  %15 = load i64, ptr %9, align 8, !tbaa !5
  %16 = load i64, ptr %5, align 8, !tbaa !5
  %17 = sub nsw i64 %16, 1
  %18 = icmp sle i64 %15, %17
  br i1 %18, label %19, label %41

19:                                               ; preds = %14
  %20 = load ptr, ptr %6, align 8, !tbaa !9
  %21 = getelementptr inbounds %"struct.alglib_impl::ae_matrix", ptr %20, i32 0, i32 6
  %22 = load ptr, ptr %21, align 8, !tbaa !11
  %23 = load i64, ptr %7, align 8, !tbaa !5
  %24 = getelementptr inbounds ptr, ptr %22, i64 %23
  %25 = load ptr, ptr %24, align 8, !tbaa !9
  %26 = load i64, ptr %9, align 8, !tbaa !5
  %27 = getelementptr inbounds double, ptr %25, i64 %26
  %28 = load double, ptr %27, align 8, !tbaa !12
  %29 = call double @sqrt(double noundef %28) #3
  %30 = load ptr, ptr %6, align 8, !tbaa !9
  %31 = getelementptr inbounds %"struct.alglib_impl::ae_matrix", ptr %30, i32 0, i32 6
  %32 = load ptr, ptr %31, align 8, !tbaa !11
  %33 = load i64, ptr %7, align 8, !tbaa !5
  %34 = getelementptr inbounds ptr, ptr %32, i64 %33
  %35 = load ptr, ptr %34, align 8, !tbaa !9
  %36 = load i64, ptr %9, align 8, !tbaa !5
  %37 = getelementptr inbounds double, ptr %35, i64 %36
  store double %29, ptr %37, align 8, !tbaa !12
  br label %38

38:                                               ; preds = %19
  %39 = load i64, ptr %9, align 8, !tbaa !5
  %40 = add nsw i64 %39, 1
  store i64 %40, ptr %9, align 8, !tbaa !5
  br label %14, !llvm.loop !14

41:                                               ; preds = %14
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #3
  ret void
}

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 = { 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 }

!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 = !{!"long", !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 = !{!7, !7, i64 0}
!12 = !{!13, !13, i64 0}
!13 = !{!"double", !7, i64 0}
!14 = distinct !{!14, !15}
!15 = !{!"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 nofree nounwind willreturn memory(write)
declare double @sqrt(double noundef) local_unnamed_addr #0

; Function Attrs: mustprogress nofree nounwind memory(readwrite, inaccessiblemem: write) uwtable
define dso_local void @_ZN11alglib_impl6rsqrtrElPNS_9ae_matrixElPNS_8ae_stateE(i64 noundef %0, ptr nocapture noundef readonly %1, i64 noundef %2, ptr nocapture noundef readnone %3) local_unnamed_addr #1 {
  %.not.not9 = icmp sgt i64 %0, 0
  br i1 %.not.not9, label %.lr.ph, label %._crit_edge

.lr.ph:                                           ; preds = %4
  %5 = getelementptr inbounds i8, ptr %1, i64 72
  %xtraiter = and i64 %0, 1
  %6 = icmp eq i64 %0, 1
  br i1 %6, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph.new

.lr.ph.new:                                       ; preds = %.lr.ph
  %unroll_iter = and i64 %0, 9223372036854775806
  br label %7

7:                                                ; preds = %7, %.lr.ph.new
  %.010 = phi i64 [ 0, %.lr.ph.new ], [ %29, %7 ]
  %niter = phi i64 [ 0, %.lr.ph.new ], [ %niter.next.1, %7 ]
  %8 = load ptr, ptr %5, align 8, !tbaa !5
  %9 = getelementptr inbounds ptr, ptr %8, i64 %2
  %10 = load ptr, ptr %9, align 8, !tbaa !8
  %11 = getelementptr inbounds double, ptr %10, i64 %.010
  %12 = load double, ptr %11, align 8, !tbaa !10
  %13 = tail call double @sqrt(double noundef %12) #2
  %14 = load ptr, ptr %5, align 8, !tbaa !5
  %15 = getelementptr inbounds ptr, ptr %14, i64 %2
  %16 = load ptr, ptr %15, align 8, !tbaa !8
  %17 = getelementptr inbounds double, ptr %16, i64 %.010
  store double %13, ptr %17, align 8, !tbaa !10
  %18 = or disjoint i64 %.010, 1
  %19 = load ptr, ptr %5, align 8, !tbaa !5
  %20 = getelementptr inbounds ptr, ptr %19, i64 %2
  %21 = load ptr, ptr %20, align 8, !tbaa !8
  %22 = getelementptr inbounds double, ptr %21, i64 %18
  %23 = load double, ptr %22, align 8, !tbaa !10
  %24 = tail call double @sqrt(double noundef %23) #2
  %25 = load ptr, ptr %5, align 8, !tbaa !5
  %26 = getelementptr inbounds ptr, ptr %25, i64 %2
  %27 = load ptr, ptr %26, align 8, !tbaa !8
  %28 = getelementptr inbounds double, ptr %27, i64 %18
  store double %24, ptr %28, align 8, !tbaa !10
  %29 = add nuw nsw i64 %.010, 2
  %niter.next.1 = add i64 %niter, 2
  %niter.ncmp.1 = icmp eq i64 %niter.next.1, %unroll_iter
  br i1 %niter.ncmp.1, label %._crit_edge.loopexit.unr-lcssa, label %7, !llvm.loop !12

._crit_edge.loopexit.unr-lcssa:                   ; preds = %7, %.lr.ph
  %.010.unr = phi i64 [ 0, %.lr.ph ], [ %29, %7 ]
  %lcmp.mod.not = icmp eq i64 %xtraiter, 0
  br i1 %lcmp.mod.not, label %._crit_edge, label %._crit_edge.loopexit.epilog-lcssa

._crit_edge.loopexit.epilog-lcssa:                ; preds = %._crit_edge.loopexit.unr-lcssa
  %30 = load ptr, ptr %5, align 8, !tbaa !5
  %31 = getelementptr inbounds ptr, ptr %30, i64 %2
  %32 = load ptr, ptr %31, align 8, !tbaa !8
  %33 = getelementptr inbounds double, ptr %32, i64 %.010.unr
  %34 = load double, ptr %33, align 8, !tbaa !10
  %35 = tail call double @sqrt(double noundef %34) #2
  %36 = load ptr, ptr %5, align 8, !tbaa !5
  %37 = getelementptr inbounds ptr, ptr %36, i64 %2
  %38 = load ptr, ptr %37, align 8, !tbaa !8
  %39 = getelementptr inbounds double, ptr %38, i64 %.010.unr
  store double %35, ptr %39, align 8, !tbaa !10
  br label %._crit_edge

._crit_edge:                                      ; preds = %._crit_edge.loopexit.epilog-lcssa, %._crit_edge.loopexit.unr-lcssa, %4
  ret void
}

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 = { mustprogress nofree nounwind memory(readwrite, inaccessiblemem: write) 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 = !{!"omnipotent char", !7, i64 0}
!7 = !{!"Simple C++ TBAA"}
!8 = !{!9, !9, i64 0}
!9 = !{!"any pointer", !6, i64 0}
!10 = !{!11, !11, i64 0}
!11 = !{!"double", !6, i64 0}
!12 = distinct !{!12, !13}
!13 = !{!"llvm.loop.mustprogress"}


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