; LLVM IR from ERGO-Code/HiGHS :: src/util (HFactorDebug)

; 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"

@.str.77 = external hidden unnamed_addr constant [57 x i8], align 1

; 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

declare void @_Z11highsLogDevRK15HighsLogOptions12HighsLogTypePKcz(ptr noundef nonnull align 8 dereferenceable(89), i32 noundef, ptr noundef, ...) #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNKSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) #2 align 2

; Function Attrs: mustprogress uwtable
define dso_local void @_Z23debugPivotValueAnalysisiRK15HighsLogOptionsiRKSt6vectorIdSaIdEE(i32 noundef %0, ptr noundef nonnull align 8 dereferenceable(89) %1, i32 noundef %2, ptr noundef nonnull align 8 dereferenceable(24) %3) #3 {
  %5 = alloca i32, align 4
  %6 = alloca ptr, align 8
  %7 = alloca i32, align 4
  %8 = alloca ptr, align 8
  %9 = alloca double, align 8
  %10 = alloca double, align 8
  %11 = alloca double, align 8
  %12 = alloca i32, align 4
  %13 = alloca double, align 8
  store i32 %0, ptr %5, align 4, !tbaa !5
  store ptr %1, ptr %6, align 8, !tbaa !9
  store i32 %2, ptr %7, align 4, !tbaa !5
  store ptr %3, ptr %8, align 8, !tbaa !9
  %14 = load i32, ptr %5, align 4, !tbaa !5
  %15 = icmp slt i32 %14, 1
  br i1 %15, label %16, label %17

16:                                               ; preds = %4
  br label %59

17:                                               ; preds = %4
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #7
  store double 0x7FF0000000000000, ptr %9, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %10) #7
  store double 0.000000e+00, ptr %10, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %11) #7
  store double 0.000000e+00, ptr %11, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 4, ptr %12) #7
  store i32 0, ptr %12, align 4, !tbaa !5
  br label %18

18:                                               ; preds = %38, %17
  %19 = load i32, ptr %12, align 4, !tbaa !5
  %20 = load i32, ptr %7, align 4, !tbaa !5
  %21 = icmp slt i32 %19, %20
  br i1 %21, label %23, label %22

22:                                               ; preds = %18
  call void @llvm.lifetime.end.p0(i64 4, ptr %12) #7
  br label %41

23:                                               ; preds = %18
  call void @llvm.lifetime.start.p0(i64 8, ptr %13) #7
  %24 = load ptr, ptr %8, align 8, !tbaa !9
  %25 = load i32, ptr %12, align 4, !tbaa !5
  %26 = sext i32 %25 to i64
  %27 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNKSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %24, i64 noundef %26) #7
  %28 = load double, ptr %27, align 8, !tbaa !11
  %29 = call double @llvm.fabs.f64(double %28)
  store double %29, ptr %13, align 8, !tbaa !11
  %30 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIdERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) %13, ptr noundef nonnull align 8 dereferenceable(8) %9)
  %31 = load double, ptr %30, align 8, !tbaa !11
  store double %31, ptr %9, align 8, !tbaa !11
  %32 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3maxIdERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) %13, ptr noundef nonnull align 8 dereferenceable(8) %11)
  %33 = load double, ptr %32, align 8, !tbaa !11
  store double %33, ptr %11, align 8, !tbaa !11
  %34 = load double, ptr %13, align 8, !tbaa !11
  %35 = call double @log(double noundef %34) #7
  %36 = load double, ptr %10, align 8, !tbaa !11
  %37 = fadd double %36, %35
  store double %37, ptr %10, align 8, !tbaa !11
  call void @llvm.lifetime.end.p0(i64 8, ptr %13) #7
  br label %38

38:                                               ; preds = %23
  %39 = load i32, ptr %12, align 4, !tbaa !5
  %40 = add nsw i32 %39, 1
  store i32 %40, ptr %12, align 4, !tbaa !5
  br label %18, !llvm.loop !13

41:                                               ; preds = %22
  %42 = load double, ptr %10, align 8, !tbaa !11
  %43 = load i32, ptr %7, align 4, !tbaa !5
  %44 = sitofp i32 %43 to double
  %45 = fdiv double %42, %44
  %46 = call double @exp(double noundef %45) #7
  store double %46, ptr %10, align 8, !tbaa !11
  %47 = load i32, ptr %5, align 4, !tbaa !5
  %48 = icmp sgt i32 %47, 1
  br i1 %48, label %52, label %49

49:                                               ; preds = %41
  %50 = load double, ptr %9, align 8, !tbaa !11
  %51 = fcmp olt double %50, 1.000000e-08
  br i1 %51, label %52, label %58

52:                                               ; preds = %49, %41
  %53 = load ptr, ptr %6, align 8, !tbaa !9
  %54 = load i32, ptr %7, align 4, !tbaa !5
  %55 = load double, ptr %9, align 8, !tbaa !11
  %56 = load double, ptr %10, align 8, !tbaa !11
  %57 = load double, ptr %11, align 8, !tbaa !11
  call void (ptr, i32, ptr, ...) @_Z11highsLogDevRK15HighsLogOptions12HighsLogTypePKcz(ptr noundef nonnull align 8 dereferenceable(89) %53, i32 noundef 5, ptr noundef @.str.77, i32 noundef %54, double noundef %55, double noundef %56, double noundef %57)
  br label %58

58:                                               ; preds = %52, %49
  call void @llvm.lifetime.end.p0(i64 8, ptr %11) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %10) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #7
  br label %59

59:                                               ; preds = %58, %16
  ret void
}

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fabs.f64(double) #4

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIdERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) #5

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3maxIdERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) #5

; Function Attrs: nounwind
declare double @log(double noundef) #6

; Function Attrs: nounwind
declare double @exp(double noundef) #6

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { "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 = { mustprogress 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 #4 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #5 = { inlinehint 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 #6 = { 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 #7 = { 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"

@.str.77 = external hidden unnamed_addr constant [57 x i8], align 1

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

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

declare void @_Z11highsLogDevRK15HighsLogOptions12HighsLogTypePKcz(ptr noundef nonnull align 8 dereferenceable(89), i32 noundef, ptr noundef, ...) local_unnamed_addr #1

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZNKSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24), i64 noundef) local_unnamed_addr #2 align 2

; Function Attrs: mustprogress uwtable
define dso_local void @_Z23debugPivotValueAnalysisiRK15HighsLogOptionsiRKSt6vectorIdSaIdEE(i32 noundef %0, ptr noundef nonnull align 8 dereferenceable(89) %1, i32 noundef %2, ptr noundef nonnull align 8 dereferenceable(24) %3) local_unnamed_addr #3 {
  %5 = alloca double, align 8
  %6 = alloca double, align 8
  %7 = alloca double, align 8
  %8 = icmp slt i32 %0, 1
  br i1 %8, label %30, label %9

9:                                                ; preds = %4
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %5) #7
  store double 0x7FF0000000000000, ptr %5, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %6) #7
  store double 0.000000e+00, ptr %6, align 8, !tbaa !5
  %10 = icmp sgt i32 %2, 0
  br i1 %10, label %.lr.ph.preheader, label %._crit_edge

.lr.ph.preheader:                                 ; preds = %9
  %wide.trip.count = zext nneg i32 %2 to i64
  br label %.lr.ph

._crit_edge:                                      ; preds = %.lr.ph, %9
  %.013.lcssa = phi double [ 0.000000e+00, %9 ], [ %26, %.lr.ph ]
  %11 = sitofp i32 %2 to double
  %12 = fdiv double %.013.lcssa, %11
  %13 = call double @exp(double noundef %12) #7
  %14 = icmp ne i32 %0, 1
  %15 = load double, ptr %5, align 8
  %16 = fcmp olt double %15, 1.000000e-08
  %or.cond = select i1 %14, i1 true, i1 %16
  br i1 %or.cond, label %27, label %29

.lr.ph:                                           ; preds = %.lr.ph.preheader, %.lr.ph
  %indvars.iv = phi i64 [ 0, %.lr.ph.preheader ], [ %indvars.iv.next, %.lr.ph ]
  %.01316 = phi double [ 0.000000e+00, %.lr.ph.preheader ], [ %26, %.lr.ph ]
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %7) #7
  %17 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZNKSt6vectorIdSaIdEEixEm(ptr noundef nonnull align 8 dereferenceable(24) %3, i64 noundef %indvars.iv) #7
  %18 = load double, ptr %17, align 8, !tbaa !5
  %19 = call double @llvm.fabs.f64(double %18)
  store double %19, ptr %7, align 8, !tbaa !5
  %20 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIdERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) %7, ptr noundef nonnull align 8 dereferenceable(8) %5)
  %21 = load double, ptr %20, align 8, !tbaa !5
  store double %21, ptr %5, align 8, !tbaa !5
  %22 = call noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3maxIdERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8) %7, ptr noundef nonnull align 8 dereferenceable(8) %6)
  %23 = load double, ptr %22, align 8, !tbaa !5
  store double %23, ptr %6, align 8, !tbaa !5
  %24 = load double, ptr %7, align 8, !tbaa !5
  %25 = call double @log(double noundef %24) #7
  %26 = fadd double %.01316, %25
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %7) #7
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond.not = icmp eq i64 %indvars.iv.next, %wide.trip.count
  br i1 %exitcond.not, label %._crit_edge, label %.lr.ph, !llvm.loop !9

27:                                               ; preds = %._crit_edge
  %28 = load double, ptr %6, align 8, !tbaa !5
  call void (ptr, i32, ptr, ...) @_Z11highsLogDevRK15HighsLogOptions12HighsLogTypePKcz(ptr noundef nonnull align 8 dereferenceable(89) %1, i32 noundef 5, ptr noundef nonnull @.str.77, i32 noundef %2, double noundef %15, double noundef %13, double noundef %28)
  br label %29

29:                                               ; preds = %._crit_edge, %27
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %6) #7
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %5) #7
  br label %30

30:                                               ; preds = %4, %29
  ret void
}

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fabs.f64(double) #4

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3minIdERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #5

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef nonnull align 8 dereferenceable(8) ptr @_ZSt3maxIdERKT_S2_S2_(ptr noundef nonnull align 8 dereferenceable(8), ptr noundef nonnull align 8 dereferenceable(8)) local_unnamed_addr #5

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare double @log(double noundef) local_unnamed_addr #6

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare double @exp(double noundef) local_unnamed_addr #6

attributes #0 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { "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 = { mustprogress 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 #4 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #5 = { inlinehint 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 #6 = { 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 #7 = { 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++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


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