; LLVM IR from tsotchke/quantum_geometric_tensor :: src/quantum_geometric/core (complex_arithmetic)

; 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.ComplexFloat = type { float, float }

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare float @llvm.fmuladd.f32(float, float, float) #0

; Function Attrs: nounwind uwtable
define dso_local float @complex_abs(<2 x float> %0) #1 {
  %2 = alloca %struct.ComplexFloat, align 4
  store <2 x float> %0, ptr %2, align 4
  %3 = getelementptr inbounds %struct.ComplexFloat, ptr %2, i32 0, i32 0
  %4 = load float, ptr %3, align 4, !tbaa !5
  %5 = getelementptr inbounds %struct.ComplexFloat, ptr %2, i32 0, i32 0
  %6 = load float, ptr %5, align 4, !tbaa !5
  %7 = getelementptr inbounds %struct.ComplexFloat, ptr %2, i32 0, i32 1
  %8 = load float, ptr %7, align 4, !tbaa !10
  %9 = getelementptr inbounds %struct.ComplexFloat, ptr %2, i32 0, i32 1
  %10 = load float, ptr %9, align 4, !tbaa !10
  %11 = fmul float %8, %10
  %12 = call float @llvm.fmuladd.f32(float %4, float %6, float %11)
  %13 = call float @sqrtf(float noundef %12) #3
  ret float %13
}

; Function Attrs: nounwind
declare float @sqrtf(float noundef) #2

attributes #0 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #1 = { nounwind uwtable "min-legal-vector-width"="64" "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 = { 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, !7, i64 0}
!6 = !{!"", !7, i64 0, !7, i64 4}
!7 = !{!"float", !8, i64 0}
!8 = !{!"omnipotent char", !9, i64 0}
!9 = !{!"Simple C/C++ TBAA"}
!10 = !{!6, !7, i64 4}


; 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 nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare float @llvm.fmuladd.f32(float, float, float) #0

; Function Attrs: mustprogress nofree norecurse nosync nounwind willreturn memory(none) uwtable
define dso_local float @complex_abs(<2 x float> %0) local_unnamed_addr #1 {
  %.sroa.0.0.vec.extract = extractelement <2 x float> %0, i64 0
  %2 = fmul <2 x float> %0, %0
  %3 = extractelement <2 x float> %2, i64 1
  %4 = tail call float @llvm.fmuladd.f32(float %.sroa.0.0.vec.extract, float %.sroa.0.0.vec.extract, float %3)
  %sqrt = tail call float @llvm.sqrt.f32(float %4)
  ret float %sqrt
}

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare float @llvm.sqrt.f32(float) #2

attributes #0 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #1 = { mustprogress nofree norecurse nosync nounwind willreturn memory(none) uwtable "min-legal-vector-width"="64" "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) }

!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)"}


; Effective O3 passes: AggressiveInstCombinePass,EarlyCSEPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,PostOrderFunctionAttrsPass,SROAPass,TailCallElimPass,VectorCombinePass