; LLVM IR from MaxGoryunov/LinearSystemsToolkit :: LinearSystemsToolkit (Vector)

; 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.Vector = type { ptr, i32 }

; 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 double @secondNorm(ptr noundef %0) #1 {
  %2 = alloca ptr, align 8
  %3 = alloca double, align 8
  %4 = alloca i32, align 4
  store ptr %0, ptr %2, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %3) #4
  store double 0.000000e+00, ptr %3, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #4
  store i32 0, ptr %4, align 4, !tbaa !11
  br label %5

5:                                                ; preds = %29, %1
  %6 = load i32, ptr %4, align 4, !tbaa !11
  %7 = load ptr, ptr %2, align 8, !tbaa !5
  %8 = getelementptr inbounds %struct.Vector, ptr %7, i32 0, i32 1
  %9 = load i32, ptr %8, align 8, !tbaa !13
  %10 = icmp slt i32 %6, %9
  br i1 %10, label %12, label %11

11:                                               ; preds = %5
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #4
  br label %32

12:                                               ; preds = %5
  %13 = load ptr, ptr %2, align 8, !tbaa !5
  %14 = getelementptr inbounds %struct.Vector, ptr %13, i32 0, i32 0
  %15 = load ptr, ptr %14, align 8, !tbaa !15
  %16 = load i32, ptr %4, align 4, !tbaa !11
  %17 = sext i32 %16 to i64
  %18 = getelementptr inbounds double, ptr %15, i64 %17
  %19 = load double, ptr %18, align 8, !tbaa !9
  %20 = load ptr, ptr %2, align 8, !tbaa !5
  %21 = getelementptr inbounds %struct.Vector, ptr %20, i32 0, i32 0
  %22 = load ptr, ptr %21, align 8, !tbaa !15
  %23 = load i32, ptr %4, align 4, !tbaa !11
  %24 = sext i32 %23 to i64
  %25 = getelementptr inbounds double, ptr %22, i64 %24
  %26 = load double, ptr %25, align 8, !tbaa !9
  %27 = load double, ptr %3, align 8, !tbaa !9
  %28 = call double @llvm.fmuladd.f64(double %19, double %26, double %27)
  store double %28, ptr %3, align 8, !tbaa !9
  br label %29

29:                                               ; preds = %12
  %30 = load i32, ptr %4, align 4, !tbaa !11
  %31 = add nsw i32 %30, 1
  store i32 %31, ptr %4, align 4, !tbaa !11
  br label %5, !llvm.loop !16

32:                                               ; preds = %11
  %33 = load double, ptr %3, align 8, !tbaa !9
  %34 = call double @sqrt(double noundef %33) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %3) #4
  ret double %34
}

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

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

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 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
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 = !{!"any pointer", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"int", !7, i64 0}
!13 = !{!14, !12, i64 8}
!14 = !{!"Vector", !6, i64 0, !12, i64 8}
!15 = !{!14, !6, i64 0}
!16 = distinct !{!16, !17}
!17 = !{!"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(readwrite, inaccessiblemem: write) uwtable
define dso_local double @secondNorm(ptr nocapture noundef readonly %0) local_unnamed_addr #0 {
  %2 = getelementptr inbounds i8, ptr %0, i64 8
  %3 = load i32, ptr %2, align 8, !tbaa !5
  %4 = icmp sgt i32 %3, 0
  br i1 %4, label %.lr.ph, label %._crit_edge

.lr.ph:                                           ; preds = %1
  %5 = load ptr, ptr %0, align 8, !tbaa !11
  %wide.trip.count = zext nneg i32 %3 to i64
  %xtraiter = and i64 %wide.trip.count, 3
  %6 = icmp ult i32 %3, 4
  br i1 %6, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph.new

.lr.ph.new:                                       ; preds = %.lr.ph
  %unroll_iter = and i64 %wide.trip.count, 2147483644
  br label %11

._crit_edge.loopexit.unr-lcssa:                   ; preds = %11, %.lr.ph
  %.lcssa.ph = phi double [ poison, %.lr.ph ], [ %23, %11 ]
  %indvars.iv.unr = phi i64 [ 0, %.lr.ph ], [ %indvars.iv.next.3, %11 ]
  %.089.unr = phi double [ 0.000000e+00, %.lr.ph ], [ %23, %11 ]
  %lcmp.mod.not = icmp eq i64 %xtraiter, 0
  br i1 %lcmp.mod.not, label %._crit_edge, label %.epil.preheader

.epil.preheader:                                  ; preds = %._crit_edge.loopexit.unr-lcssa, %.epil.preheader
  %indvars.iv.epil = phi i64 [ %indvars.iv.next.epil, %.epil.preheader ], [ %indvars.iv.unr, %._crit_edge.loopexit.unr-lcssa ]
  %.089.epil = phi double [ %9, %.epil.preheader ], [ %.089.unr, %._crit_edge.loopexit.unr-lcssa ]
  %epil.iter = phi i64 [ %epil.iter.next, %.epil.preheader ], [ 0, %._crit_edge.loopexit.unr-lcssa ]
  %7 = getelementptr inbounds double, ptr %5, i64 %indvars.iv.epil
  %8 = load double, ptr %7, align 8, !tbaa !12
  %9 = tail call double @llvm.fmuladd.f64(double %8, double %8, double %.089.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, label %.epil.preheader, !llvm.loop !14

._crit_edge:                                      ; preds = %._crit_edge.loopexit.unr-lcssa, %.epil.preheader, %1
  %.08.lcssa = phi double [ 0.000000e+00, %1 ], [ %.lcssa.ph, %._crit_edge.loopexit.unr-lcssa ], [ %9, %.epil.preheader ]
  %10 = tail call double @sqrt(double noundef %.08.lcssa) #3
  ret double %10

11:                                               ; preds = %11, %.lr.ph.new
  %indvars.iv = phi i64 [ 0, %.lr.ph.new ], [ %indvars.iv.next.3, %11 ]
  %.089 = phi double [ 0.000000e+00, %.lr.ph.new ], [ %23, %11 ]
  %niter = phi i64 [ 0, %.lr.ph.new ], [ %niter.next.3, %11 ]
  %12 = getelementptr inbounds double, ptr %5, i64 %indvars.iv
  %13 = load double, ptr %12, align 8, !tbaa !12
  %14 = tail call double @llvm.fmuladd.f64(double %13, double %13, double %.089)
  %indvars.iv.next = or disjoint i64 %indvars.iv, 1
  %15 = getelementptr inbounds double, ptr %5, i64 %indvars.iv.next
  %16 = load double, ptr %15, align 8, !tbaa !12
  %17 = tail call double @llvm.fmuladd.f64(double %16, double %16, double %14)
  %indvars.iv.next.1 = or disjoint i64 %indvars.iv, 2
  %18 = getelementptr inbounds double, ptr %5, i64 %indvars.iv.next.1
  %19 = load double, ptr %18, align 8, !tbaa !12
  %20 = tail call double @llvm.fmuladd.f64(double %19, double %19, double %17)
  %indvars.iv.next.2 = or disjoint i64 %indvars.iv, 3
  %21 = getelementptr inbounds double, ptr %5, i64 %indvars.iv.next.2
  %22 = load double, ptr %21, align 8, !tbaa !12
  %23 = tail call double @llvm.fmuladd.f64(double %22, double %22, double %20)
  %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.loopexit.unr-lcssa, label %11, !llvm.loop !16
}

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fmuladd.f64(double, double, double) #1

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare double @sqrt(double noundef) local_unnamed_addr #2

attributes #0 = { 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 #1 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #2 = { 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 #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, !10, i64 8}
!6 = !{!"Vector", !7, i64 0, !10, i64 8}
!7 = !{!"any pointer", !8, i64 0}
!8 = !{!"omnipotent char", !9, i64 0}
!9 = !{!"Simple C/C++ TBAA"}
!10 = !{!"int", !8, i64 0}
!11 = !{!6, !7, i64 0}
!12 = !{!13, !13, i64 0}
!13 = !{!"double", !8, i64 0}
!14 = distinct !{!14, !15}
!15 = !{!"llvm.loop.unroll.disable"}
!16 = distinct !{!16, !17}
!17 = !{!"llvm.loop.mustprogress"}


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