; LLVM IR from ubaldot/defrecs :: stm32f4x/ADC_Readings/Drivers/CMSIS/DSP/Source/ComplexMathFunctions (f64)

; 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: 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 void @arm_cmplx_mag_f64(ptr noundef %0, ptr noundef %1, i32 noundef %2) #1 {
  %4 = alloca ptr, align 8
  %5 = alloca ptr, align 8
  %6 = alloca i32, align 4
  %7 = alloca i32, align 4
  %8 = alloca double, 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 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 8, ptr %8) #4
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #4
  %10 = load i32, ptr %6, align 4, !tbaa !9
  store i32 %10, ptr %7, align 4, !tbaa !9
  br label %11

11:                                               ; preds = %14, %3
  %12 = load i32, ptr %7, align 4, !tbaa !9
  %13 = icmp ugt i32 %12, 0
  br i1 %13, label %14, label %32

14:                                               ; preds = %11
  %15 = load ptr, ptr %4, align 8, !tbaa !5
  %16 = getelementptr inbounds double, ptr %15, i32 1
  store ptr %16, ptr %4, align 8, !tbaa !5
  %17 = load double, ptr %15, align 8, !tbaa !11
  store double %17, ptr %8, align 8, !tbaa !11
  %18 = load ptr, ptr %4, align 8, !tbaa !5
  %19 = getelementptr inbounds double, ptr %18, i32 1
  store ptr %19, ptr %4, align 8, !tbaa !5
  %20 = load double, ptr %18, align 8, !tbaa !11
  store double %20, ptr %9, align 8, !tbaa !11
  %21 = load double, ptr %8, align 8, !tbaa !11
  %22 = load double, ptr %8, align 8, !tbaa !11
  %23 = load double, ptr %9, align 8, !tbaa !11
  %24 = load double, ptr %9, align 8, !tbaa !11
  %25 = fmul double %23, %24
  %26 = call double @llvm.fmuladd.f64(double %21, double %22, double %25)
  %27 = call double @sqrt(double noundef %26) #4
  %28 = load ptr, ptr %5, align 8, !tbaa !5
  %29 = getelementptr inbounds double, ptr %28, i32 1
  store ptr %29, ptr %5, align 8, !tbaa !5
  store double %27, ptr %28, align 8, !tbaa !11
  %30 = load i32, ptr %7, align 4, !tbaa !9
  %31 = add i32 %30, -1
  store i32 %31, ptr %7, align 4, !tbaa !9
  br label %11, !llvm.loop !13

32:                                               ; preds = %11
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #4
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #4
  ret void
}

; Function Attrs: nounwind
declare double @sqrt(double noundef) #2

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare double @llvm.fmuladd.f64(double, double, double) #3

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 = { 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 #3 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
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 = !{!"int", !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 norecurse nosync nounwind memory(readwrite, inaccessiblemem: none) uwtable
define dso_local void @arm_cmplx_mag_f64(ptr nocapture noundef readonly %0, ptr nocapture noundef writeonly %1, i32 noundef %2) local_unnamed_addr #0 {
  %.not11 = icmp eq i32 %2, 0
  br i1 %.not11, label %._crit_edge, label %.lr.ph.preheader

.lr.ph.preheader:                                 ; preds = %3
  %4 = zext i32 %2 to i64
  %min.iters.check = icmp ult i32 %2, 4
  br i1 %min.iters.check, label %.lr.ph.preheader23, label %vector.memcheck

vector.memcheck:                                  ; preds = %.lr.ph.preheader
  %5 = add i32 %2, -1
  %6 = zext i32 %5 to i64
  %7 = shl nuw nsw i64 %6, 3
  %8 = getelementptr i8, ptr %1, i64 %7
  %scevgep = getelementptr i8, ptr %8, i64 8
  %9 = shl nuw nsw i64 %6, 4
  %10 = getelementptr i8, ptr %0, i64 %9
  %scevgep15 = getelementptr i8, ptr %10, i64 16
  %bound0 = icmp ugt ptr %scevgep15, %1
  %bound1 = icmp ugt ptr %scevgep, %0
  %found.conflict = and i1 %bound0, %bound1
  br i1 %found.conflict, label %.lr.ph.preheader23, label %vector.ph

vector.ph:                                        ; preds = %vector.memcheck
  %n.vec = and i64 %4, 4294967294
  %11 = shl nuw nsw i64 %n.vec, 4
  %ind.end = getelementptr i8, ptr %0, i64 %11
  %12 = shl nuw nsw i64 %n.vec, 3
  %ind.end16 = getelementptr i8, ptr %1, i64 %12
  %.cast = trunc nuw i64 %n.vec to i32
  %ind.end18 = sub i32 %2, %.cast
  br label %vector.body

vector.body:                                      ; preds = %vector.body, %vector.ph
  %index = phi i64 [ 0, %vector.ph ], [ %index.next, %vector.body ]
  %offset.idx = shl i64 %index, 4
  %next.gep = getelementptr i8, ptr %0, i64 %offset.idx
  %offset.idx20 = shl i64 %index, 3
  %next.gep21 = getelementptr i8, ptr %1, i64 %offset.idx20
  %wide.vec = load <4 x double>, ptr %next.gep, align 8, !tbaa !5
  %strided.vec = shufflevector <4 x double> %wide.vec, <4 x double> poison, <2 x i32> <i32 0, i32 2>
  %13 = fmul <4 x double> %wide.vec, %wide.vec
  %14 = shufflevector <4 x double> %13, <4 x double> poison, <2 x i32> <i32 1, i32 3>
  %15 = tail call <2 x double> @llvm.fmuladd.v2f64(<2 x double> %strided.vec, <2 x double> %strided.vec, <2 x double> %14)
  %16 = tail call <2 x double> @llvm.sqrt.v2f64(<2 x double> %15)
  store <2 x double> %16, ptr %next.gep21, align 8, !tbaa !5, !alias.scope !9, !noalias !12
  %index.next = add nuw i64 %index, 2
  %17 = icmp eq i64 %index.next, %n.vec
  br i1 %17, label %middle.block, label %vector.body, !llvm.loop !14

middle.block:                                     ; preds = %vector.body
  %cmp.n = icmp eq i64 %n.vec, %4
  br i1 %cmp.n, label %._crit_edge, label %.lr.ph.preheader23

.lr.ph.preheader23:                               ; preds = %middle.block, %vector.memcheck, %.lr.ph.preheader
  %.014.ph = phi ptr [ %0, %vector.memcheck ], [ %0, %.lr.ph.preheader ], [ %ind.end, %middle.block ]
  %.0913.ph = phi ptr [ %1, %vector.memcheck ], [ %1, %.lr.ph.preheader ], [ %ind.end16, %middle.block ]
  %.01012.ph = phi i32 [ %2, %vector.memcheck ], [ %2, %.lr.ph.preheader ], [ %ind.end18, %middle.block ]
  %xtraiter = and i32 %.01012.ph, 1
  %lcmp.mod.not = icmp eq i32 %xtraiter, 0
  br i1 %lcmp.mod.not, label %.lr.ph.prol.loopexit, label %.lr.ph.prol

.lr.ph.prol:                                      ; preds = %.lr.ph.preheader23
  %18 = getelementptr inbounds i8, ptr %.014.ph, i64 8
  %19 = load double, ptr %.014.ph, align 8, !tbaa !5
  %20 = getelementptr inbounds i8, ptr %.014.ph, i64 16
  %21 = load double, ptr %18, align 8, !tbaa !5
  %22 = fmul double %21, %21
  %23 = tail call double @llvm.fmuladd.f64(double %19, double %19, double %22)
  %sqrt.prol = tail call double @llvm.sqrt.f64(double %23)
  %24 = getelementptr inbounds i8, ptr %.0913.ph, i64 8
  store double %sqrt.prol, ptr %.0913.ph, align 8, !tbaa !5
  %25 = add nsw i32 %.01012.ph, -1
  br label %.lr.ph.prol.loopexit

.lr.ph.prol.loopexit:                             ; preds = %.lr.ph.prol, %.lr.ph.preheader23
  %.014.unr = phi ptr [ %.014.ph, %.lr.ph.preheader23 ], [ %20, %.lr.ph.prol ]
  %.0913.unr = phi ptr [ %.0913.ph, %.lr.ph.preheader23 ], [ %24, %.lr.ph.prol ]
  %.01012.unr = phi i32 [ %.01012.ph, %.lr.ph.preheader23 ], [ %25, %.lr.ph.prol ]
  %26 = icmp eq i32 %.01012.ph, 1
  br i1 %26, label %._crit_edge, label %.lr.ph

.lr.ph:                                           ; preds = %.lr.ph.prol.loopexit, %.lr.ph
  %.014 = phi ptr [ %36, %.lr.ph ], [ %.014.unr, %.lr.ph.prol.loopexit ]
  %.0913 = phi ptr [ %40, %.lr.ph ], [ %.0913.unr, %.lr.ph.prol.loopexit ]
  %.01012 = phi i32 [ %41, %.lr.ph ], [ %.01012.unr, %.lr.ph.prol.loopexit ]
  %27 = getelementptr inbounds i8, ptr %.014, i64 8
  %28 = load double, ptr %.014, align 8, !tbaa !5
  %29 = getelementptr inbounds i8, ptr %.014, i64 16
  %30 = load double, ptr %27, align 8, !tbaa !5
  %31 = fmul double %30, %30
  %32 = tail call double @llvm.fmuladd.f64(double %28, double %28, double %31)
  %sqrt = tail call double @llvm.sqrt.f64(double %32)
  %33 = getelementptr inbounds i8, ptr %.0913, i64 8
  store double %sqrt, ptr %.0913, align 8, !tbaa !5
  %34 = getelementptr inbounds i8, ptr %.014, i64 24
  %35 = load double, ptr %29, align 8, !tbaa !5
  %36 = getelementptr inbounds i8, ptr %.014, i64 32
  %37 = load double, ptr %34, align 8, !tbaa !5
  %38 = fmul double %37, %37
  %39 = tail call double @llvm.fmuladd.f64(double %35, double %35, double %38)
  %sqrt.1 = tail call double @llvm.sqrt.f64(double %39)
  %40 = getelementptr inbounds i8, ptr %.0913, i64 16
  store double %sqrt.1, ptr %33, align 8, !tbaa !5
  %41 = add i32 %.01012, -2
  %.not.1 = icmp eq i32 %41, 0
  br i1 %.not.1, label %._crit_edge, label %.lr.ph, !llvm.loop !18

._crit_edge:                                      ; preds = %.lr.ph.prol.loopexit, %.lr.ph, %middle.block, %3
  ret void
}

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

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

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare <2 x double> @llvm.fmuladd.v2f64(<2 x double>, <2 x double>, <2 x double>) #2

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare <2 x double> @llvm.sqrt.v2f64(<2 x double>) #2

attributes #0 = { nofree norecurse nosync nounwind memory(readwrite, inaccessiblemem: 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" }
attributes #1 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #2 = { 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 = !{!"double", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C/C++ TBAA"}
!9 = !{!10}
!10 = distinct !{!10, !11}
!11 = distinct !{!11, !"LVerDomain"}
!12 = !{!13}
!13 = distinct !{!13, !11}
!14 = distinct !{!14, !15, !16, !17}
!15 = !{!"llvm.loop.mustprogress"}
!16 = !{!"llvm.loop.isvectorized", i32 1}
!17 = !{!"llvm.loop.unroll.runtime.disable"}
!18 = distinct !{!18, !15, !16}


; Effective O3 passes: AggressiveInstCombinePass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LoopLoadEliminationPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,LoopVectorizePass,PostOrderFunctionAttrsPass,SLPVectorizerPass,SROAPass,SimplifyCFGPass,TailCallElimPass