; LLVM IR from stan-dev/math :: lib/boost_1.84.0/libs/math/tools (generate_rational_code)

; 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"

@max_order = external dso_local global i32, align 4

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z17print_polynomialsi(i32 noundef) #0

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z15print_rationalsi(i32 noundef) #0

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() #2 {
  %1 = alloca i32, align 4
  %2 = alloca i32, align 4
  store i32 0, ptr %1, align 4
  call void @llvm.lifetime.start.p0(i64 4, ptr %2) #3
  store i32 2, ptr %2, align 4, !tbaa !5
  br label %3

3:                                                ; preds = %11, %0
  %4 = load i32, ptr %2, align 4, !tbaa !5
  %5 = load i32, ptr @max_order, align 4, !tbaa !5
  %6 = icmp sle i32 %4, %5
  br i1 %6, label %8, label %7

7:                                                ; preds = %3
  call void @llvm.lifetime.end.p0(i64 4, ptr %2) #3
  br label %14

8:                                                ; preds = %3
  %9 = load i32, ptr %2, align 4, !tbaa !5
  call void @_Z17print_polynomialsi(i32 noundef %9)
  %10 = load i32, ptr %2, align 4, !tbaa !5
  call void @_Z15print_rationalsi(i32 noundef %10)
  br label %11

11:                                               ; preds = %8
  %12 = load i32, ptr %2, align 4, !tbaa !5
  %13 = add nsw i32 %12, 1
  store i32 %13, ptr %2, align 4, !tbaa !5
  br label %3, !llvm.loop !9

14:                                               ; preds = %7
  ret i32 0
}

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" }
attributes #1 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { mustprogress norecurse 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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"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"

@max_order = external dso_local local_unnamed_addr global i32, align 4

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z17print_polynomialsi(i32 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress uwtable
declare dso_local void @_Z15print_rationalsi(i32 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress norecurse uwtable
define dso_local noundef i32 @main() local_unnamed_addr #1 {
  %1 = load i32, ptr @max_order, align 4, !tbaa !5
  %.not4 = icmp slt i32 %1, 2
  br i1 %.not4, label %._crit_edge, label %.lr.ph

._crit_edge:                                      ; preds = %.lr.ph, %0
  ret i32 0

.lr.ph:                                           ; preds = %0, %.lr.ph
  %.05 = phi i32 [ %2, %.lr.ph ], [ 2, %0 ]
  tail call void @_Z17print_polynomialsi(i32 noundef %.05)
  tail call void @_Z15print_rationalsi(i32 noundef %.05)
  %2 = add nuw nsw i32 %.05, 1
  %3 = load i32, ptr @max_order, align 4, !tbaa !5
  %.not.not = icmp slt i32 %.05, %3
  br i1 %.not.not, label %.lr.ph, label %._crit_edge, !llvm.loop !9
}

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" }
attributes #1 = { mustprogress norecurse 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 = distinct !{!9, !10}
!10 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,SROAPass,SimplifyCFGPass,TailCallElimPass