; LLVM IR from P-py/c-numerical-methods :: lagrange (calculateResult)

; 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"

%struct.KnownPoint = type { double, double }

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

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

; Function Attrs: nounwind uwtable
define dso_local double @calculateResult(ptr noundef %0, ptr noundef %1, ptr noundef %2) #1 {
  %4 = alloca ptr, align 8
  %5 = alloca ptr, align 8
  %6 = alloca ptr, align 8
  %7 = alloca double, align 8
  %8 = alloca i32, align 4
  %9 = alloca double, align 8
  %10 = alloca double, align 8
  store ptr %0, ptr %4, align 8, !tbaa !5
  store ptr %1, ptr %5, align 8, !tbaa !5
  store ptr %2, ptr %6, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #3
  store double 0.000000e+00, ptr %7, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 4, ptr %8) #3
  store i32 0, ptr %8, align 4, !tbaa !11
  br label %11

11:                                               ; preds = %33, %3
  %12 = load i32, ptr %8, align 4, !tbaa !11
  %13 = load ptr, ptr %4, align 8, !tbaa !5
  %14 = load i32, ptr %13, align 4, !tbaa !11
  %15 = icmp sle i32 %12, %14
  br i1 %15, label %17, label %16

16:                                               ; preds = %11
  call void @llvm.lifetime.end.p0(i64 4, ptr %8) #3
  br label %36

17:                                               ; preds = %11
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #3
  %18 = load ptr, ptr %6, align 8, !tbaa !5
  %19 = load i32, ptr %8, align 4, !tbaa !11
  %20 = sext i32 %19 to i64
  %21 = getelementptr inbounds double, ptr %18, i64 %20
  %22 = load double, ptr %21, align 8, !tbaa !9
  store double %22, ptr %9, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %10) #3
  %23 = load ptr, ptr %5, align 8, !tbaa !5
  %24 = load i32, ptr %8, align 4, !tbaa !11
  %25 = sext i32 %24 to i64
  %26 = getelementptr inbounds %struct.KnownPoint, ptr %23, i64 %25
  %27 = getelementptr inbounds %struct.KnownPoint, ptr %26, i32 0, i32 1
  %28 = load double, ptr %27, align 8, !tbaa !13
  store double %28, ptr %10, align 8, !tbaa !9
  %29 = load double, ptr %9, align 8, !tbaa !9
  %30 = load double, ptr %10, align 8, !tbaa !9
  %31 = load double, ptr %7, align 8, !tbaa !9
  %32 = call double @llvm.fmuladd.f64(double %29, double %30, double %31)
  store double %32, ptr %7, align 8, !tbaa !9
  call void @llvm.lifetime.end.p0(i64 8, ptr %10) #3
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #3
  br label %33

33:                                               ; preds = %17
  %34 = load i32, ptr %8, align 4, !tbaa !11
  %35 = add nsw i32 %34, 1
  store i32 %35, ptr %8, align 4, !tbaa !11
  br label %11, !llvm.loop !15

36:                                               ; preds = %16
  %37 = load double, ptr %7, align 8, !tbaa !9
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #3
  ret double %37
}

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fmuladd.f64(double, double, double) #2

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #3 = { 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/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"int", !7, i64 0}
!13 = !{!14, !10, i64 8}
!14 = !{!"", !10, i64 0, !10, i64 8}
!15 = distinct !{!15, !16}
!16 = !{!"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"

%struct.KnownPoint = type { double, double }

; Function Attrs: nofree norecurse nosync nounwind memory(argmem: read) uwtable
define dso_local double @calculateResult(ptr nocapture noundef readonly %0, ptr nocapture noundef readonly %1, ptr nocapture noundef readonly %2) local_unnamed_addr #0 {
  %4 = load i32, ptr %0, align 4, !tbaa !5
  %.not11 = icmp slt i32 %4, 0
  br i1 %.not11, label %._crit_edge, label %.lr.ph.preheader

.lr.ph.preheader:                                 ; preds = %3
  %5 = add nuw i32 %4, 1
  %wide.trip.count = zext i32 %5 to i64
  %xtraiter = and i64 %wide.trip.count, 3
  %6 = icmp ult i32 %4, 3
  br i1 %6, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph.preheader.new

.lr.ph.preheader.new:                             ; preds = %.lr.ph.preheader
  %unroll_iter = and i64 %wide.trip.count, 4294967292
  br label %.lr.ph

._crit_edge.loopexit.unr-lcssa:                   ; preds = %.lr.ph, %.lr.ph.preheader
  %.lcssa.ph = phi double [ poison, %.lr.ph.preheader ], [ %31, %.lr.ph ]
  %indvars.iv.unr = phi i64 [ 0, %.lr.ph.preheader ], [ %indvars.iv.next.3, %.lr.ph ]
  %.013.unr = phi double [ 0.000000e+00, %.lr.ph.preheader ], [ %31, %.lr.ph ]
  %lcmp.mod.not = icmp eq i64 %xtraiter, 0
  br i1 %lcmp.mod.not, label %._crit_edge, label %.lr.ph.epil

.lr.ph.epil:                                      ; preds = %._crit_edge.loopexit.unr-lcssa, %.lr.ph.epil
  %indvars.iv.epil = phi i64 [ %indvars.iv.next.epil, %.lr.ph.epil ], [ %indvars.iv.unr, %._crit_edge.loopexit.unr-lcssa ]
  %.013.epil = phi double [ %11, %.lr.ph.epil ], [ %.013.unr, %._crit_edge.loopexit.unr-lcssa ]
  %epil.iter = phi i64 [ %epil.iter.next, %.lr.ph.epil ], [ 0, %._crit_edge.loopexit.unr-lcssa ]
  %7 = getelementptr inbounds double, ptr %2, i64 %indvars.iv.epil
  %8 = load double, ptr %7, align 8, !tbaa !9
  %9 = getelementptr inbounds %struct.KnownPoint, ptr %1, i64 %indvars.iv.epil, i32 1
  %10 = load double, ptr %9, align 8, !tbaa !11
  %11 = tail call double @llvm.fmuladd.f64(double %8, double %10, double %.013.epil)
  %indvars.iv.next.epil = add nuw nsw i64 %indvars.iv.epil, 1
  %epil.iter.next = add i64 %epil.iter, 1
  %epil.iter.cmp.not = icmp eq i64 %epil.iter.next, %xtraiter
  br i1 %epil.iter.cmp.not, label %._crit_edge, label %.lr.ph.epil, !llvm.loop !13

._crit_edge:                                      ; preds = %._crit_edge.loopexit.unr-lcssa, %.lr.ph.epil, %3
  %.0.lcssa = phi double [ 0.000000e+00, %3 ], [ %.lcssa.ph, %._crit_edge.loopexit.unr-lcssa ], [ %11, %.lr.ph.epil ]
  ret double %.0.lcssa

.lr.ph:                                           ; preds = %.lr.ph, %.lr.ph.preheader.new
  %indvars.iv = phi i64 [ 0, %.lr.ph.preheader.new ], [ %indvars.iv.next.3, %.lr.ph ]
  %.013 = phi double [ 0.000000e+00, %.lr.ph.preheader.new ], [ %31, %.lr.ph ]
  %niter = phi i64 [ 0, %.lr.ph.preheader.new ], [ %niter.next.3, %.lr.ph ]
  %12 = getelementptr inbounds double, ptr %2, i64 %indvars.iv
  %13 = load double, ptr %12, align 8, !tbaa !9
  %14 = getelementptr inbounds %struct.KnownPoint, ptr %1, i64 %indvars.iv, i32 1
  %15 = load double, ptr %14, align 8, !tbaa !11
  %16 = tail call double @llvm.fmuladd.f64(double %13, double %15, double %.013)
  %indvars.iv.next = or disjoint i64 %indvars.iv, 1
  %17 = getelementptr inbounds double, ptr %2, i64 %indvars.iv.next
  %18 = load double, ptr %17, align 8, !tbaa !9
  %19 = getelementptr inbounds %struct.KnownPoint, ptr %1, i64 %indvars.iv.next, i32 1
  %20 = load double, ptr %19, align 8, !tbaa !11
  %21 = tail call double @llvm.fmuladd.f64(double %18, double %20, double %16)
  %indvars.iv.next.1 = or disjoint i64 %indvars.iv, 2
  %22 = getelementptr inbounds double, ptr %2, i64 %indvars.iv.next.1
  %23 = load double, ptr %22, align 8, !tbaa !9
  %24 = getelementptr inbounds %struct.KnownPoint, ptr %1, i64 %indvars.iv.next.1, i32 1
  %25 = load double, ptr %24, align 8, !tbaa !11
  %26 = tail call double @llvm.fmuladd.f64(double %23, double %25, double %21)
  %indvars.iv.next.2 = or disjoint i64 %indvars.iv, 3
  %27 = getelementptr inbounds double, ptr %2, i64 %indvars.iv.next.2
  %28 = load double, ptr %27, align 8, !tbaa !9
  %29 = getelementptr inbounds %struct.KnownPoint, ptr %1, i64 %indvars.iv.next.2, i32 1
  %30 = load double, ptr %29, align 8, !tbaa !11
  %31 = tail call double @llvm.fmuladd.f64(double %28, double %30, double %26)
  %indvars.iv.next.3 = add nuw nsw i64 %indvars.iv, 4
  %niter.next.3 = add i64 %niter, 4
  %niter.ncmp.3 = icmp eq i64 %niter.next.3, %unroll_iter
  br i1 %niter.ncmp.3, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph, !llvm.loop !15
}

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fmuladd.f64(double, double, double) #1

attributes #0 = { nofree norecurse nosync nounwind memory(argmem: read) 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 = { mustprogress 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)"}
!5 = !{!6, !6, i64 0}
!6 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}
!11 = !{!12, !10, i64 8}
!12 = !{!"", !10, i64 0, !10, i64 8}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.unroll.disable"}
!15 = distinct !{!15, !16}
!16 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,JumpThreadingPass,LCSSAPass,LICMPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,PostOrderFunctionAttrsPass,SROAPass,SimplifyCFGPass,TailCallElimPass