; LLVM IR from AlgoGenesis/C :: Mathematical Algorithms/Fermats MMI Algorithm (MultiplicativeModuloInverse)

; 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: nounwind uwtable
define dso_local i64 @power_mod(i64 noundef %0, i64 noundef %1, i64 noundef %2) #0 {
  %4 = alloca i64, align 8
  %5 = alloca i64, align 8
  %6 = alloca i64, align 8
  %7 = alloca i64, align 8
  store i64 %0, ptr %4, align 8, !tbaa !5
  store i64 %1, ptr %5, align 8, !tbaa !5
  store i64 %2, ptr %6, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #2
  store i64 1, ptr %7, align 8, !tbaa !5
  %8 = load i64, ptr %4, align 8, !tbaa !5
  %9 = load i64, ptr %6, align 8, !tbaa !5
  %10 = srem i64 %8, %9
  store i64 %10, ptr %4, align 8, !tbaa !5
  br label %11

11:                                               ; preds = %24, %3
  %12 = load i64, ptr %5, align 8, !tbaa !5
  %13 = icmp sgt i64 %12, 0
  br i1 %13, label %14, label %32

14:                                               ; preds = %11
  %15 = load i64, ptr %5, align 8, !tbaa !5
  %16 = srem i64 %15, 2
  %17 = icmp eq i64 %16, 1
  br i1 %17, label %18, label %24

18:                                               ; preds = %14
  %19 = load i64, ptr %7, align 8, !tbaa !5
  %20 = load i64, ptr %4, align 8, !tbaa !5
  %21 = mul nsw i64 %19, %20
  %22 = load i64, ptr %6, align 8, !tbaa !5
  %23 = srem i64 %21, %22
  store i64 %23, ptr %7, align 8, !tbaa !5
  br label %24

24:                                               ; preds = %18, %14
  %25 = load i64, ptr %5, align 8, !tbaa !5
  %26 = ashr i64 %25, 1
  store i64 %26, ptr %5, align 8, !tbaa !5
  %27 = load i64, ptr %4, align 8, !tbaa !5
  %28 = load i64, ptr %4, align 8, !tbaa !5
  %29 = mul nsw i64 %27, %28
  %30 = load i64, ptr %6, align 8, !tbaa !5
  %31 = srem i64 %29, %30
  store i64 %31, ptr %4, align 8, !tbaa !5
  br label %11, !llvm.loop !9

32:                                               ; preds = %11
  %33 = load i64, ptr %7, align 8, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #2
  ret i64 %33
}

; 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

attributes #0 = { 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 #1 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 = !{!"long long", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C/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"

; Function Attrs: nofree norecurse nosync nounwind memory(none) uwtable
define dso_local i64 @power_mod(i64 noundef %0, i64 noundef %1, i64 noundef %2) local_unnamed_addr #0 {
  %4 = icmp sgt i64 %1, 0
  br i1 %4, label %.lr.ph, label %._crit_edge

.lr.ph:                                           ; preds = %3, %9
  %.pn = phi i64 [ %11, %9 ], [ %0, %3 ]
  %.016 = phi i64 [ %.1, %9 ], [ 1, %3 ]
  %.01315 = phi i64 [ %10, %9 ], [ %1, %3 ]
  %.01217 = srem i64 %.pn, %2
  %5 = and i64 %.01315, 1
  %.not = icmp eq i64 %5, 0
  br i1 %.not, label %9, label %6

6:                                                ; preds = %.lr.ph
  %7 = mul nsw i64 %.01217, %.016
  %8 = srem i64 %7, %2
  br label %9

9:                                                ; preds = %6, %.lr.ph
  %.1 = phi i64 [ %8, %6 ], [ %.016, %.lr.ph ]
  %10 = lshr i64 %.01315, 1
  %11 = mul nsw i64 %.01217, %.01217
  %.not18 = icmp ult i64 %.01315, 2
  br i1 %.not18, label %._crit_edge, label %.lr.ph, !llvm.loop !5

._crit_edge:                                      ; preds = %9, %3
  %.0.lcssa = phi i64 [ 1, %3 ], [ %.1, %9 ]
  ret i64 %.0.lcssa
}

attributes #0 = { nofree norecurse nosync nounwind 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)"}
!5 = distinct !{!5, !6}
!6 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: GVNPass,GlobalOptPass,IPSCCPPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,ReassociatePass,SROAPass,SimplifyCFGPass