; LLVM IR from TheAlgorithms/C-Plus-Plus :: math/modular_inverse_simple.ll (Z4imodmm)

; 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
define dso_local noundef i64 @_Z4imodmm(i64 noundef %0, i64 noundef %1) #0 {
  %3 = alloca i64, align 8
  %4 = alloca i64, align 8
  %5 = alloca i64, align 8
  %6 = alloca i64, align 8
  store i64 %0, ptr %3, align 8, !tbaa !5
  store i64 %1, ptr %4, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #2
  store i64 0, ptr %5, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #2
  store i64 0, ptr %6, align 8, !tbaa !5
  br label %7

7:                                                ; preds = %14, %2
  %8 = load i64, ptr %4, align 8, !tbaa !5
  %9 = load i64, ptr %6, align 8, !tbaa !5
  %10 = mul i64 %8, %9
  %11 = add i64 %10, 1
  store i64 %11, ptr %5, align 8, !tbaa !5
  %12 = load i64, ptr %6, align 8, !tbaa !5
  %13 = add i64 %12, 1
  store i64 %13, ptr %6, align 8, !tbaa !5
  br label %14

14:                                               ; preds = %7
  %15 = load i64, ptr %5, align 8, !tbaa !5
  %16 = load i64, ptr %3, align 8, !tbaa !5
  %17 = urem i64 %15, %16
  %18 = icmp ne i64 %17, 0
  br i1 %18, label %7, label %19, !llvm.loop !9

19:                                               ; preds = %14
  %20 = load i64, ptr %5, align 8, !tbaa !5
  %21 = load i64, ptr %3, align 8, !tbaa !5
  %22 = udiv i64 %20, %21
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #2
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #2
  ret i64 %22
}

; 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 = { 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 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", !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 nofree norecurse nosync nounwind willreturn memory(none) uwtable
define dso_local noundef i64 @_Z4imodmm(i64 noundef %0, i64 noundef %1) local_unnamed_addr #0 {
  br label %3

3:                                                ; preds = %3, %2
  %.0 = phi i64 [ 0, %2 ], [ %6, %3 ]
  %4 = mul i64 %.0, %1
  %5 = add i64 %4, 1
  %6 = add i64 %.0, 1
  %7 = urem i64 %5, %0
  %8 = udiv i64 %5, %0
  %.not = icmp eq i64 %7, 0
  br i1 %.not, label %9, label %3, !llvm.loop !5

9:                                                ; preds = %3
  ret i64 %8
}

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


; Effective O3 passes: DivRemPairsPass,GVNPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,LCSSAPass,LoopUnrollPass,PostOrderFunctionAttrsPass,SROAPass,SimplifyCFGPass