; LLVM IR from Ayon-SSP/The-SDE-Prep :: 3]_CP/Number Theory/Modular Exponentiation.ll (Z6modExpxx)

; 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"

; Function Attrs: mustprogress uwtable
define dso_local noundef i64 @_Z6modExpxx(i64 noundef %0, i64 noundef %1) #0 {
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  %5 = alloca i64, align 8
  store i64 %0, ptr %4, align 8, !tbaa !5
  store i64 %1, ptr %5, align 8, !tbaa !5
  %6 = load i64, ptr %5, align 8, !tbaa !5
  %7 = icmp eq i64 %6, 0
  br i1 %7, label %8, label %9

8:                                                ; preds = %2
  store i64 1, ptr %3, align 8
  br label %33

9:                                                ; preds = %2
  %10 = load i64, ptr %5, align 8, !tbaa !5
  %11 = and i64 %10, 1
  %12 = icmp ne i64 %11, 0
  br i1 %12, label %13, label %25

13:                                               ; preds = %9
  %14 = load i64, ptr %4, align 8, !tbaa !5
  %15 = load i64, ptr %4, align 8, !tbaa !5
  %16 = load i64, ptr %4, align 8, !tbaa !5
  %17 = mul nsw i64 %15, %16
  %18 = srem i64 %17, 1000000007
  %19 = load i64, ptr %5, align 8, !tbaa !5
  %20 = sub nsw i64 %19, 1
  %21 = sdiv i64 %20, 2
  %22 = call noundef i64 @_Z6modExpxx(i64 noundef %18, i64 noundef %21)
  %23 = mul nsw i64 %14, %22
  %24 = srem i64 %23, 1000000007
  store i64 %24, ptr %3, align 8
  br label %33

25:                                               ; preds = %9
  %26 = load i64, ptr %4, align 8, !tbaa !5
  %27 = load i64, ptr %4, align 8, !tbaa !5
  %28 = mul nsw i64 %26, %27
  %29 = srem i64 %28, 1000000007
  %30 = load i64, ptr %5, align 8, !tbaa !5
  %31 = sdiv i64 %30, 2
  %32 = call noundef i64 @_Z6modExpxx(i64 noundef %29, i64 noundef %31)
  store i64 %32, ptr %3, align 8
  br label %33

33:                                               ; preds = %25, %13, %8
  %34 = load i64, ptr %3, align 8
  ret i64 %34
}

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 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}


; 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 nosync nounwind willreturn memory(none) uwtable
define dso_local noundef range(i64 -1000000006, 1000000007) i64 @_Z6modExpxx(i64 noundef %0, i64 noundef %1) local_unnamed_addr #0 {
  %3 = icmp eq i64 %1, 0
  br i1 %3, label %common.ret24, label %.lr.ph.preheader

.lr.ph.preheader:                                 ; preds = %2
  %4 = and i64 %1, 1
  %.not18 = icmp eq i64 %4, 0
  br i1 %.not18, label %tailrecurse, label %.lr.ph._crit_edge

common.ret24:                                     ; preds = %2, %.lr.ph._crit_edge
  %common.ret24.op = phi i64 [ %11, %.lr.ph._crit_edge ], [ 1, %2 ]
  ret i64 %common.ret24.op

.lr.ph._crit_edge:                                ; preds = %tailrecurse, %.lr.ph.preheader
  %.tr1115.lcssa = phi i64 [ %1, %.lr.ph.preheader ], [ %14, %tailrecurse ]
  %.tr14.lcssa = phi i64 [ %0, %.lr.ph.preheader ], [ %13, %tailrecurse ]
  %5 = mul nsw i64 %.tr14.lcssa, %.tr14.lcssa
  %6 = urem i64 %5, 1000000007
  %7 = add nsw i64 %.tr1115.lcssa, -1
  %8 = ashr exact i64 %7, 1
  %9 = tail call noundef i64 @_Z6modExpxx(i64 noundef %6, i64 noundef %8)
  %10 = mul nsw i64 %9, %.tr14.lcssa
  %11 = srem i64 %10, 1000000007
  br label %common.ret24

tailrecurse:                                      ; preds = %.lr.ph.preheader, %tailrecurse
  %.tr1420 = phi i64 [ %13, %tailrecurse ], [ %0, %.lr.ph.preheader ]
  %.tr111519 = phi i64 [ %14, %tailrecurse ], [ %1, %.lr.ph.preheader ]
  %12 = mul nsw i64 %.tr1420, %.tr1420
  %13 = urem i64 %12, 1000000007
  %14 = ashr exact i64 %.tr111519, 1
  %15 = and i64 %.tr111519, 2
  %.not = icmp eq i64 %15, 0
  br i1 %.not, label %tailrecurse, label %.lr.ph._crit_edge
}

attributes #0 = { mustprogress nofree nosync nounwind willreturn memory(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)"}


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