; LLVM IR from drohmer/cgp :: library/cgp/10_camera_model/camera_model/common_functions (common_functions)

; 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.cgp::numarray_stack" = type { float, float, float }

; 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 nounwind willreturn memory(argmem: readwrite)
declare void @llvm.memcpy.p0.p0.i64(ptr noalias nocapture writeonly, ptr noalias nocapture readonly, i64, i1 immarg) #1

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

; Function Attrs: mustprogress uwtable
define dso_local { <2 x float>, float } @_ZN3cgp20trackball_projectionEff(float noundef %0, float noundef %1) #2 {
  %3 = alloca %"struct.cgp::numarray_stack", align 4
  %4 = alloca float, align 4
  %5 = alloca float, align 4
  %6 = alloca float, align 4
  %7 = alloca float, align 4
  %8 = alloca { <2 x float>, float }, align 8
  store float %0, ptr %4, align 4, !tbaa !5
  store float %1, ptr %5, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #6
  %9 = load float, ptr %4, align 4, !tbaa !5
  %10 = load float, ptr %4, align 4, !tbaa !5
  %11 = load float, ptr %5, align 4, !tbaa !5
  %12 = load float, ptr %5, align 4, !tbaa !5
  %13 = fmul float %11, %12
  %14 = call float @llvm.fmuladd.f32(float %9, float %10, float %13)
  %15 = call noundef float @_ZSt4sqrtf(float noundef %14)
  store float %15, ptr %6, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #6
  store float 0.000000e+00, ptr %7, align 4, !tbaa !5
  %16 = load float, ptr %6, align 4, !tbaa !5
  %17 = call noundef float @_ZSt4sqrtf(float noundef 2.000000e+00)
  %18 = fdiv float 1.000000e+00, %17
  %19 = fcmp olt float %16, %18
  br i1 %19, label %20, label %26

20:                                               ; preds = %2
  %21 = load float, ptr %6, align 4, !tbaa !5
  %22 = load float, ptr %6, align 4, !tbaa !5
  %23 = fneg float %21
  %24 = call float @llvm.fmuladd.f32(float %23, float %22, float 1.000000e+00)
  %25 = call noundef float @_ZSt4sqrtf(float noundef %24)
  store float %25, ptr %7, align 4, !tbaa !5
  br label %30

26:                                               ; preds = %2
  %27 = load float, ptr %6, align 4, !tbaa !5
  %28 = fmul float 2.000000e+00, %27
  %29 = fdiv float 1.000000e+00, %28
  store float %29, ptr %7, align 4, !tbaa !5
  br label %30

30:                                               ; preds = %26, %20
  call void @_ZN3cgp14numarray_stackIfLi3EEC2ERKfS3_S3_(ptr noundef nonnull align 4 dereferenceable(12) %3, ptr noundef nonnull align 4 dereferenceable(4) %4, ptr noundef nonnull align 4 dereferenceable(4) %5, ptr noundef nonnull align 4 dereferenceable(4) %7)
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #6
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #6
  call void @llvm.memcpy.p0.p0.i64(ptr align 8 %8, ptr align 4 %3, i64 12, i1 false)
  %31 = load { <2 x float>, float }, ptr %8, align 8
  ret { <2 x float>, float } %31
}

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef float @_ZSt4sqrtf(float noundef) #3

; Function Attrs: nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare float @llvm.fmuladd.f32(float, float, float) #4

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZN3cgp14numarray_stackIfLi3EEC2ERKfS3_S3_(ptr noundef nonnull align 4 dereferenceable(12), ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 4 dereferenceable(4)) unnamed_addr #5 align 2

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { nocallback nofree nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { 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 = { inlinehint mustprogress 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 #4 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #5 = { mustprogress 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 #6 = { 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 = !{!"float", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}


; 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.cgp::numarray_stack" = type { float, float, float }

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

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

; Function Attrs: mustprogress nounwind uwtable
define dso_local { <2 x float>, float } @_ZN3cgp20trackball_projectionEff(float noundef %0, float noundef %1) local_unnamed_addr #1 {
  %3 = alloca %"struct.cgp::numarray_stack", align 8
  %4 = alloca float, align 4
  %5 = alloca float, align 4
  %6 = alloca float, align 4
  store float %0, ptr %4, align 4, !tbaa !5
  store float %1, ptr %5, align 4, !tbaa !5
  %7 = fmul float %1, %1
  %8 = tail call float @llvm.fmuladd.f32(float %0, float %0, float %7)
  %9 = tail call noundef float @_ZSt4sqrtf(float noundef %8)
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %6) #4
  %10 = tail call noundef float @_ZSt4sqrtf(float noundef 2.000000e+00)
  %11 = fdiv float 1.000000e+00, %10
  %12 = fcmp olt float %9, %11
  br i1 %12, label %13, label %17

13:                                               ; preds = %2
  %14 = fneg float %9
  %15 = tail call float @llvm.fmuladd.f32(float %14, float %9, float 1.000000e+00)
  %16 = tail call noundef float @_ZSt4sqrtf(float noundef %15)
  br label %20

17:                                               ; preds = %2
  %18 = fmul float %9, 2.000000e+00
  %19 = fdiv float 1.000000e+00, %18
  br label %20

20:                                               ; preds = %17, %13
  %storemerge = phi float [ %19, %17 ], [ %16, %13 ]
  store float %storemerge, ptr %6, align 4, !tbaa !5
  call void @_ZN3cgp14numarray_stackIfLi3EEC2ERKfS3_S3_(ptr noundef nonnull align 4 dereferenceable(12) %3, ptr noundef nonnull align 4 dereferenceable(4) %4, ptr noundef nonnull align 4 dereferenceable(4) %5, ptr noundef nonnull align 4 dereferenceable(4) %6)
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %6) #4
  %.sroa.0.0.copyload = load <2 x float>, ptr %3, align 8
  %.sroa.2.0..sroa_idx = getelementptr inbounds i8, ptr %3, i64 8
  %.sroa.2.0.copyload = load float, ptr %.sroa.2.0..sroa_idx, align 8
  %.fca.0.insert = insertvalue { <2 x float>, float } poison, <2 x float> %.sroa.0.0.copyload, 0
  %.fca.1.insert = insertvalue { <2 x float>, float } %.fca.0.insert, float %.sroa.2.0.copyload, 1
  ret { <2 x float>, float } %.fca.1.insert
}

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef float @_ZSt4sqrtf(float noundef) local_unnamed_addr #2

; Function Attrs: mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare float @llvm.fmuladd.f32(float, float, float) #3

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZN3cgp14numarray_stackIfLi3EEC2ERKfS3_S3_(ptr noundef nonnull align 4 dereferenceable(12), ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 4 dereferenceable(4), ptr noundef nonnull align 4 dereferenceable(4)) unnamed_addr #1 align 2

attributes #0 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { mustprogress 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 = { inlinehint mustprogress 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 #3 = { mustprogress 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 = !{!"float", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}


; Effective O3 passes: DSEPass,EarlyCSEPass,GlobalOptPass,InferAlignmentPass,InferFunctionAttrsPass,InstCombinePass,PostOrderFunctionAttrsPass,SROAPass,TailCallElimPass