; LLVM IR from Lakhankumawat/LearnCPP :: R-Recursion/TaylorsSerieHornersRule.ll (Z15taylorHornerRecii)

; 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"

@_ZZ15taylorHornerReciiE1s = external hidden global double, align 8

; Function Attrs: mustprogress uwtable
define dso_local noundef double @_Z15taylorHornerRecii(i32 noundef %0, i32 noundef %1) #0 {
  %3 = alloca double, align 8
  %4 = alloca i32, align 4
  %5 = alloca i32, align 4
  store i32 %0, ptr %4, align 4, !tbaa !5
  store i32 %1, ptr %5, align 4, !tbaa !5
  %6 = load i32, ptr %5, align 4, !tbaa !5
  %7 = icmp eq i32 %6, 0
  br i1 %7, label %8, label %10

8:                                                ; preds = %2
  %9 = load double, ptr @_ZZ15taylorHornerReciiE1s, align 8, !tbaa !9
  store double %9, ptr %3, align 8
  br label %22

10:                                               ; preds = %2
  %11 = load i32, ptr %4, align 4, !tbaa !5
  %12 = load i32, ptr %5, align 4, !tbaa !5
  %13 = sdiv i32 %11, %12
  %14 = add nsw i32 1, %13
  %15 = sitofp i32 %14 to double
  %16 = load double, ptr @_ZZ15taylorHornerReciiE1s, align 8, !tbaa !9
  %17 = fmul double %15, %16
  store double %17, ptr @_ZZ15taylorHornerReciiE1s, align 8, !tbaa !9
  %18 = load i32, ptr %4, align 4, !tbaa !5
  %19 = load i32, ptr %5, align 4, !tbaa !5
  %20 = sub nsw i32 %19, 1
  %21 = call noundef double @_Z15taylorHornerRecii(i32 noundef %18, i32 noundef %20)
  store double %21, ptr %3, align 8
  br label %22

22:                                               ; preds = %10, %8
  %23 = load double, ptr %3, align 8
  ret double %23
}

attributes #0 = { 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" }

!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 = !{!"double", !7, i64 0}


; 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"

@_ZZ15taylorHornerReciiE1s = external hidden local_unnamed_addr global double, align 8

; Function Attrs: mustprogress nofree norecurse nosync nounwind memory(readwrite, argmem: none, inaccessiblemem: none) uwtable
define dso_local noundef double @_Z15taylorHornerRecii(i32 noundef %0, i32 noundef %1) local_unnamed_addr #0 {
  %_ZZ15taylorHornerReciiE1s.promoted = load double, ptr @_ZZ15taylorHornerReciiE1s, align 8, !tbaa !5
  %3 = icmp eq i32 %1, 0
  br i1 %3, label %10, label %tailrecurse.preheader

tailrecurse.preheader:                            ; preds = %2
  %xtraiter = and i32 %1, 1
  %lcmp.mod.not = icmp eq i32 %xtraiter, 0
  br i1 %lcmp.mod.not, label %tailrecurse.prol.loopexit, label %tailrecurse.prol

tailrecurse.prol:                                 ; preds = %tailrecurse.preheader
  %4 = sdiv i32 %0, %1
  %5 = add nsw i32 %4, 1
  %6 = sitofp i32 %5 to double
  %7 = fmul double %_ZZ15taylorHornerReciiE1s.promoted, %6
  %8 = add nsw i32 %1, -1
  br label %tailrecurse.prol.loopexit

tailrecurse.prol.loopexit:                        ; preds = %tailrecurse.prol, %tailrecurse.preheader
  %.lcssa.unr = phi double [ poison, %tailrecurse.preheader ], [ %7, %tailrecurse.prol ]
  %.tr67.unr = phi i32 [ %1, %tailrecurse.preheader ], [ %8, %tailrecurse.prol ]
  %.unr = phi double [ %_ZZ15taylorHornerReciiE1s.promoted, %tailrecurse.preheader ], [ %7, %tailrecurse.prol ]
  %9 = icmp eq i32 %1, 1
  br i1 %9, label %tailrecurse._crit_edge, label %tailrecurse

tailrecurse._crit_edge:                           ; preds = %tailrecurse, %tailrecurse.prol.loopexit
  %.lcssa = phi double [ %.lcssa.unr, %tailrecurse.prol.loopexit ], [ %21, %tailrecurse ]
  store double %.lcssa, ptr @_ZZ15taylorHornerReciiE1s, align 8, !tbaa !5
  br label %10

10:                                               ; preds = %tailrecurse._crit_edge, %2
  %11 = phi double [ %.lcssa, %tailrecurse._crit_edge ], [ %_ZZ15taylorHornerReciiE1s.promoted, %2 ]
  ret double %11

tailrecurse:                                      ; preds = %tailrecurse.prol.loopexit, %tailrecurse
  %.tr67 = phi i32 [ %22, %tailrecurse ], [ %.tr67.unr, %tailrecurse.prol.loopexit ]
  %12 = phi double [ %21, %tailrecurse ], [ %.unr, %tailrecurse.prol.loopexit ]
  %13 = sdiv i32 %0, %.tr67
  %14 = add nsw i32 %13, 1
  %15 = sitofp i32 %14 to double
  %16 = fmul double %12, %15
  %17 = add nsw i32 %.tr67, -1
  %18 = sdiv i32 %0, %17
  %19 = add nsw i32 %18, 1
  %20 = sitofp i32 %19 to double
  %21 = fmul double %16, %20
  %22 = add nsw i32 %.tr67, -2
  %23 = icmp eq i32 %22, 0
  br i1 %23, label %tailrecurse._crit_edge, label %tailrecurse
}

attributes #0 = { mustprogress nofree norecurse nosync nounwind memory(readwrite, argmem: none, inaccessiblemem: none) 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" }

!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"}


; Effective O3 passes: GVNPass,GlobalOptPass,IPSCCPPass,InferAlignmentPass,InstCombinePass,InstSimplifyPass,LCSSAPass,LICMPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,SROAPass,SimplifyCFGPass,TailCallElimPass