; LLVM IR from SanketSarmalkar/Numerical_Methods :: System_of_Equation/DirectMethod.ll (Z13show_solutionPPdii)

; 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"

@.str.8 = external hidden unnamed_addr constant [7 x i8], align 1

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #0

declare i32 @printf(ptr noundef, ...) #1

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #0

; Function Attrs: inlinehint mustprogress uwtable
declare i32 @putchar(i32 noundef) #2

; Function Attrs: mustprogress uwtable
define dso_local void @_Z13show_solutionPPdii(ptr noundef %0, i32 noundef %1, i32 noundef %2) #3 {
  %4 = alloca ptr, align 8
  %5 = alloca i32, align 4
  %6 = alloca i32, align 4
  %7 = alloca i32, align 4
  %8 = alloca i32, align 4
  store ptr %0, ptr %4, align 8, !tbaa !5
  store i32 %1, ptr %5, align 4, !tbaa !9
  store i32 %2, ptr %6, align 4, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #4
  call void @llvm.lifetime.start.p0(i64 4, ptr %8) #4
  store i32 0, ptr %7, align 4, !tbaa !9
  br label %9

9:                                                ; preds = %34, %3
  %10 = load i32, ptr %7, align 4, !tbaa !9
  %11 = load i32, ptr %5, align 4, !tbaa !9
  %12 = icmp slt i32 %10, %11
  br i1 %12, label %13, label %37

13:                                               ; preds = %9
  store i32 0, ptr %8, align 4, !tbaa !9
  br label %14

14:                                               ; preds = %29, %13
  %15 = load i32, ptr %8, align 4, !tbaa !9
  %16 = load i32, ptr %6, align 4, !tbaa !9
  %17 = icmp slt i32 %15, %16
  br i1 %17, label %18, label %32

18:                                               ; preds = %14
  %19 = load ptr, ptr %4, align 8, !tbaa !5
  %20 = load i32, ptr %7, align 4, !tbaa !9
  %21 = sext i32 %20 to i64
  %22 = getelementptr inbounds ptr, ptr %19, i64 %21
  %23 = load ptr, ptr %22, align 8, !tbaa !5
  %24 = load i32, ptr %8, align 4, !tbaa !9
  %25 = sext i32 %24 to i64
  %26 = getelementptr inbounds double, ptr %23, i64 %25
  %27 = load double, ptr %26, align 8, !tbaa !11
  %28 = call i32 (ptr, ...) @printf(ptr noundef @.str.8, double noundef %27)
  br label %29

29:                                               ; preds = %18
  %30 = load i32, ptr %8, align 4, !tbaa !9
  %31 = add nsw i32 %30, 1
  store i32 %31, ptr %8, align 4, !tbaa !9
  br label %14, !llvm.loop !13

32:                                               ; preds = %14
  %33 = call i32 @putchar(i32 noundef 10)
  br label %34

34:                                               ; preds = %32
  %35 = load i32, ptr %7, align 4, !tbaa !9
  %36 = add nsw i32 %35, 1
  store i32 %36, ptr %7, align 4, !tbaa !9
  br label %9, !llvm.loop !15

37:                                               ; preds = %9
  call void @llvm.lifetime.end.p0(i64 4, ptr %8) #4
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #4
  ret void
}

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { "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 #2 = { inlinehint 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 #3 = { 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 #4 = { 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 = !{!"any pointer", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"int", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"double", !7, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}
!15 = distinct !{!15, !14}


; 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"

@.str.8 = external hidden unnamed_addr constant [7 x i8], align 1

; Function Attrs: nofree nounwind
declare noundef i32 @printf(ptr nocapture noundef readonly, ...) local_unnamed_addr #0

; Function Attrs: inlinehint mustprogress nofree nounwind uwtable
declare noundef i32 @putchar(i32 noundef) local_unnamed_addr #1

; Function Attrs: mustprogress nofree nounwind uwtable
define dso_local void @_Z13show_solutionPPdii(ptr nocapture noundef readonly %0, i32 noundef %1, i32 noundef %2) local_unnamed_addr #2 {
  %4 = icmp sgt i32 %1, 0
  br i1 %4, label %.preheader.lr.ph, label %._crit_edge11

.preheader.lr.ph:                                 ; preds = %3
  %5 = icmp sgt i32 %2, 0
  br i1 %5, label %.preheader.us.preheader, label %.preheader

.preheader.us.preheader:                          ; preds = %.preheader.lr.ph
  %wide.trip.count18 = zext nneg i32 %1 to i64
  %wide.trip.count = zext nneg i32 %2 to i64
  br label %.preheader.us

.preheader.us:                                    ; preds = %.preheader.us.preheader, %._crit_edge.us
  %indvars.iv15 = phi i64 [ 0, %.preheader.us.preheader ], [ %indvars.iv.next16, %._crit_edge.us ]
  %6 = getelementptr inbounds ptr, ptr %0, i64 %indvars.iv15
  br label %7

7:                                                ; preds = %.preheader.us, %7
  %indvars.iv = phi i64 [ 0, %.preheader.us ], [ %indvars.iv.next, %7 ]
  %8 = load ptr, ptr %6, align 8, !tbaa !5
  %9 = getelementptr inbounds double, ptr %8, i64 %indvars.iv
  %10 = load double, ptr %9, align 8, !tbaa !9
  %11 = tail call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.8, double noundef %10)
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond14.not = icmp eq i64 %indvars.iv.next, %wide.trip.count
  br i1 %exitcond14.not, label %._crit_edge.us, label %7, !llvm.loop !11

._crit_edge.us:                                   ; preds = %7
  %12 = tail call i32 @putchar(i32 noundef 10)
  %indvars.iv.next16 = add nuw nsw i64 %indvars.iv15, 1
  %exitcond19.not = icmp eq i64 %indvars.iv.next16, %wide.trip.count18
  br i1 %exitcond19.not, label %._crit_edge11, label %.preheader.us, !llvm.loop !13

.preheader:                                       ; preds = %.preheader.lr.ph, %.preheader
  %.0810 = phi i32 [ %14, %.preheader ], [ 0, %.preheader.lr.ph ]
  %13 = tail call i32 @putchar(i32 noundef 10)
  %14 = add nuw nsw i32 %.0810, 1
  %exitcond.not = icmp eq i32 %14, %1
  br i1 %exitcond.not, label %._crit_edge11, label %.preheader, !llvm.loop !13

._crit_edge11:                                    ; preds = %.preheader, %._crit_edge.us, %3
  ret void
}

attributes #0 = { nofree nounwind "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 = { inlinehint mustprogress nofree 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 #2 = { mustprogress nofree 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 = !{!"any pointer", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}
!13 = distinct !{!13, !12}


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