; LLVM IR from ahampriyanshu/algo-ds-101 :: Maths/Geometry/N_Dimensional_Distance (N_Dimensional_Distance)

; 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 float @n_dimensional_distance(ptr noundef %0, ptr noundef %1, i64 noundef %2) #0 {
  %4 = alloca ptr, align 8
  %5 = alloca ptr, align 8
  %6 = alloca i64, align 8
  %7 = alloca double, align 8
  %8 = alloca i64, align 8
  %9 = alloca double, align 8
  store ptr %0, ptr %4, align 8, !tbaa !5
  store ptr %1, ptr %5, align 8, !tbaa !5
  store i64 %2, ptr %6, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #4
  store double 0.000000e+00, ptr %7, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #4
  store i64 0, ptr %8, align 8, !tbaa !9
  br label %10

10:                                               ; preds = %29, %3
  %11 = load i64, ptr %8, align 8, !tbaa !9
  %12 = load i64, ptr %6, align 8, !tbaa !9
  %13 = icmp ult i64 %11, %12
  br i1 %13, label %15, label %14

14:                                               ; preds = %10
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #4
  br label %32

15:                                               ; preds = %10
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #4
  %16 = load ptr, ptr %4, align 8, !tbaa !5
  %17 = load i64, ptr %8, align 8, !tbaa !9
  %18 = getelementptr inbounds double, ptr %16, i64 %17
  %19 = load double, ptr %18, align 8, !tbaa !11
  %20 = load ptr, ptr %5, align 8, !tbaa !5
  %21 = load i64, ptr %8, align 8, !tbaa !9
  %22 = getelementptr inbounds double, ptr %20, i64 %21
  %23 = load double, ptr %22, align 8, !tbaa !11
  %24 = fsub double %19, %23
  store double %24, ptr %9, align 8, !tbaa !11
  %25 = load double, ptr %9, align 8, !tbaa !11
  %26 = load double, ptr %9, align 8, !tbaa !11
  %27 = load double, ptr %7, align 8, !tbaa !11
  %28 = call double @llvm.fmuladd.f64(double %25, double %26, double %27)
  store double %28, ptr %7, align 8, !tbaa !11
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #4
  br label %29

29:                                               ; preds = %15
  %30 = load i64, ptr %8, align 8, !tbaa !9
  %31 = add i64 %30, 1
  store i64 %31, ptr %8, align 8, !tbaa !9
  br label %10, !llvm.loop !13

32:                                               ; preds = %14
  %33 = load double, ptr %7, align 8, !tbaa !11
  %34 = call double @sqrt(double noundef %33) #4
  %35 = fptrunc double %34 to float
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #4
  ret float %35
}

; 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 speculatable willreturn memory(none)
declare double @llvm.fmuladd.f64(double, double, double) #2

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: nounwind
declare double @sqrt(double noundef) #3

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 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #3 = { 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 #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/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"long", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"double", !7, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"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 nounwind memory(write, argmem: readwrite) uwtable
define dso_local float @n_dimensional_distance(ptr nocapture noundef readonly %0, ptr nocapture noundef readonly %1, i64 noundef %2) local_unnamed_addr #0 {
  %.not = icmp eq i64 %2, 0
  br i1 %.not, label %._crit_edge, label %.lr.ph.preheader

.lr.ph.preheader:                                 ; preds = %3
  %xtraiter = and i64 %2, 3
  %4 = icmp ult i64 %2, 4
  br i1 %4, label %._crit_edge.loopexit.unr-lcssa, label %.lr.ph.preheader.new

.lr.ph.preheader.new:                             ; preds = %.lr.ph.preheader
  %unroll_iter = and i64 %2, -4
  br label %.lr.ph

._crit_edge.loopexit.unr-lcssa:                   ; preds = %.lr.ph, %.lr.ph.preheader
  %.lcssa.ph = phi double [ poison, %.lr.ph.preheader ], [ %40, %.lr.ph ]
  %.012.unr = phi double [ 0.000000e+00, %.lr.ph.preheader ], [ %40, %.lr.ph ]
  %.01011.unr = phi i64 [ 0, %.lr.ph.preheader ], [ %41, %.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
  %.012.epil = phi double [ %10, %.lr.ph.epil ], [ %.012.unr, %._crit_edge.loopexit.unr-lcssa ]
  %.01011.epil = phi i64 [ %11, %.lr.ph.epil ], [ %.01011.unr, %._crit_edge.loopexit.unr-lcssa ]
  %epil.iter = phi i64 [ %epil.iter.next, %.lr.ph.epil ], [ 0, %._crit_edge.loopexit.unr-lcssa ]
  %5 = getelementptr inbounds double, ptr %0, i64 %.01011.epil
  %6 = load double, ptr %5, align 8, !tbaa !5
  %7 = getelementptr inbounds double, ptr %1, i64 %.01011.epil
  %8 = load double, ptr %7, align 8, !tbaa !5
  %9 = fsub double %6, %8
  %10 = tail call double @llvm.fmuladd.f64(double %9, double %9, double %.012.epil)
  %11 = add nuw i64 %.01011.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 !9

._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 ], [ %10, %.lr.ph.epil ]
  %12 = tail call double @sqrt(double noundef %.0.lcssa) #3
  %13 = fptrunc double %12 to float
  ret float %13

.lr.ph:                                           ; preds = %.lr.ph, %.lr.ph.preheader.new
  %.012 = phi double [ 0.000000e+00, %.lr.ph.preheader.new ], [ %40, %.lr.ph ]
  %.01011 = phi i64 [ 0, %.lr.ph.preheader.new ], [ %41, %.lr.ph ]
  %niter = phi i64 [ 0, %.lr.ph.preheader.new ], [ %niter.next.3, %.lr.ph ]
  %14 = getelementptr inbounds double, ptr %0, i64 %.01011
  %15 = load double, ptr %14, align 8, !tbaa !5
  %16 = getelementptr inbounds double, ptr %1, i64 %.01011
  %17 = load double, ptr %16, align 8, !tbaa !5
  %18 = fsub double %15, %17
  %19 = tail call double @llvm.fmuladd.f64(double %18, double %18, double %.012)
  %20 = or disjoint i64 %.01011, 1
  %21 = getelementptr inbounds double, ptr %0, i64 %20
  %22 = load double, ptr %21, align 8, !tbaa !5
  %23 = getelementptr inbounds double, ptr %1, i64 %20
  %24 = load double, ptr %23, align 8, !tbaa !5
  %25 = fsub double %22, %24
  %26 = tail call double @llvm.fmuladd.f64(double %25, double %25, double %19)
  %27 = or disjoint i64 %.01011, 2
  %28 = getelementptr inbounds double, ptr %0, i64 %27
  %29 = load double, ptr %28, align 8, !tbaa !5
  %30 = getelementptr inbounds double, ptr %1, i64 %27
  %31 = load double, ptr %30, align 8, !tbaa !5
  %32 = fsub double %29, %31
  %33 = tail call double @llvm.fmuladd.f64(double %32, double %32, double %26)
  %34 = or disjoint i64 %.01011, 3
  %35 = getelementptr inbounds double, ptr %0, i64 %34
  %36 = load double, ptr %35, align 8, !tbaa !5
  %37 = getelementptr inbounds double, ptr %1, i64 %34
  %38 = load double, ptr %37, align 8, !tbaa !5
  %39 = fsub double %36, %38
  %40 = tail call double @llvm.fmuladd.f64(double %39, double %39, double %33)
  %41 = add nuw i64 %.01011, 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 !11
}

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

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare double @sqrt(double noundef) local_unnamed_addr #2

attributes #0 = { nofree nounwind memory(write, argmem: readwrite) 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) }
attributes #2 = { mustprogress nofree nounwind willreturn memory(write) "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 = { 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 = !{!"double", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C/C++ TBAA"}
!9 = distinct !{!9, !10}
!10 = !{!"llvm.loop.unroll.disable"}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}


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