; LLVM IR from TheAlgorithms/C-Plus-Plus :: math (modular_inverse_fermat_little_theorem)

; 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 nounwind uwtable
declare dso_local noundef i64 @_ZN4math22modular_inverse_fermat7binExpoElll(i64 noundef, i64 noundef, i64 noundef) #0

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef zeroext i1 @_ZN4math22modular_inverse_fermat7isPrimeEl(i64 noundef) #0

; Function Attrs: mustprogress nounwind uwtable
define dso_local noundef i64 @_ZN4math22modular_inverse_fermat15modular_inverseEll(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
  br label %6

6:                                                ; preds = %9, %2
  %7 = load i64, ptr %4, align 8, !tbaa !5
  %8 = icmp slt i64 %7, 0
  br i1 %8, label %9, label %13

9:                                                ; preds = %6
  %10 = load i64, ptr %5, align 8, !tbaa !5
  %11 = load i64, ptr %4, align 8, !tbaa !5
  %12 = add nsw i64 %11, %10
  store i64 %12, ptr %4, align 8, !tbaa !5
  br label %6, !llvm.loop !9

13:                                               ; preds = %6
  %14 = load i64, ptr %5, align 8, !tbaa !5
  %15 = call noundef zeroext i1 @_ZN4math22modular_inverse_fermat7isPrimeEl(i64 noundef %14)
  br i1 %15, label %16, label %19

16:                                               ; preds = %13
  %17 = load i64, ptr %4, align 8, !tbaa !5
  %18 = icmp eq i64 %17, 0
  br i1 %18, label %19, label %20

19:                                               ; preds = %16, %13
  store i64 -1, ptr %3, align 8
  br label %26

20:                                               ; preds = %16
  %21 = load i64, ptr %4, align 8, !tbaa !5
  %22 = load i64, ptr %5, align 8, !tbaa !5
  %23 = sub nsw i64 %22, 2
  %24 = load i64, ptr %5, align 8, !tbaa !5
  %25 = call noundef i64 @_ZN4math22modular_inverse_fermat7binExpoElll(i64 noundef %21, i64 noundef %23, i64 noundef %24)
  store i64 %25, ptr %3, align 8
  br label %26

26:                                               ; preds = %20, %19
  %27 = load i64, ptr %3, align 8
  ret i64 %27
}

attributes #0 = { 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" }

!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", !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"

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef i64 @_ZN4math22modular_inverse_fermat7binExpoElll(i64 noundef, i64 noundef, i64 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress nounwind uwtable
declare dso_local noundef zeroext i1 @_ZN4math22modular_inverse_fermat7isPrimeEl(i64 noundef) local_unnamed_addr #0

; Function Attrs: mustprogress nounwind uwtable
define dso_local noundef i64 @_ZN4math22modular_inverse_fermat15modular_inverseEll(i64 noundef %0, i64 noundef %1) local_unnamed_addr #0 {
  %smax = tail call i64 @llvm.smax.i64(i64 %0, i64 0)
  %.lobit = lshr i64 %0, 63
  %3 = add i64 %.lobit, %0
  %4 = sub i64 %smax, %3
  %umax = tail call i64 @llvm.umax.i64(i64 %1, i64 1)
  %5 = udiv i64 %4, %umax
  %6 = add i64 %.lobit, %5
  %7 = mul i64 %6, %1
  %8 = add i64 %7, %0
  %9 = tail call noundef zeroext i1 @_ZN4math22modular_inverse_fermat7isPrimeEl(i64 noundef %1)
  %10 = icmp ne i64 %8, 0
  %or.cond.not = and i1 %10, %9
  br i1 %or.cond.not, label %11, label %14

11:                                               ; preds = %2
  %12 = add nsw i64 %1, -2
  %13 = tail call noundef i64 @_ZN4math22modular_inverse_fermat7binExpoElll(i64 noundef %8, i64 noundef %12, i64 noundef %1)
  br label %14

14:                                               ; preds = %2, %11
  %.0 = phi i64 [ %13, %11 ], [ -1, %2 ]
  ret i64 %.0
}

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare i64 @llvm.smax.i64(i64, i64) #1

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare i64 @llvm.umax.i64(i64, i64) #1

attributes #0 = { 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 #1 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }

!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,IndVarSimplifyPass,InstCombinePass,LCSSAPass,LoopRotatePass,SROAPass,SimplifyCFGPass,TailCallElimPass