; 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::rotation_transform" = type { %"struct.cgp::quaternion" }
%"struct.cgp::quaternion" = type { %"struct.cgp::numarray_stack.0" }
%"struct.cgp::numarray_stack.0" = type { float, float, float, float }
%"struct.cgp::numarray_stack.1" = type { float, float }
%"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
declare dso_local { <2 x float>, float } @_ZN3cgp20trackball_projectionEff(float noundef, float noundef) #2

; Function Attrs: mustprogress uwtable
define dso_local { <2 x float>, <2 x float> } @_ZN3cgp18trackball_rotationERKNS_14numarray_stackIfLi2EEES3_(ptr noundef nonnull align 4 dereferenceable(8) %0, ptr noundef nonnull align 4 dereferenceable(8) %1) #3 {
  %3 = alloca %"struct.cgp::rotation_transform", align 4
  %4 = alloca ptr, align 8
  %5 = alloca ptr, align 8
  %6 = alloca float, align 4
  %7 = alloca %"struct.cgp::numarray_stack.1", align 4
  %8 = alloca %"struct.cgp::numarray_stack", align 4
  %9 = alloca { <2 x float>, float }, align 8
  %10 = alloca %"struct.cgp::numarray_stack", align 4
  %11 = alloca { <2 x float>, float }, align 8
  %12 = alloca %"struct.cgp::rotation_transform", align 4
  %13 = alloca %"struct.cgp::numarray_stack", align 4
  %14 = alloca { <2 x float>, float }, align 8
  %15 = alloca %"struct.cgp::numarray_stack", align 4
  %16 = alloca { <2 x float>, float }, align 8
  store ptr %0, ptr %4, align 8, !tbaa !5
  store ptr %1, ptr %5, align 8, !tbaa !5
  call void @_ZN3cgp18rotation_transformC1Ev(ptr noundef nonnull align 4 dereferenceable(16) %3)
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #5
  call void @llvm.lifetime.start.p0(i64 8, ptr %7) #5
  %17 = load ptr, ptr %5, align 8, !tbaa !5
  %18 = load ptr, ptr %4, align 8, !tbaa !5
  %19 = call <2 x float> @_ZN3cgpmiIfLi2EEENS_14numarray_stackIT_XT0_EEERKS3_S5_(ptr noundef nonnull align 4 dereferenceable(8) %17, ptr noundef nonnull align 4 dereferenceable(8) %18)
  store <2 x float> %19, ptr %7, align 4
  %20 = call noundef float @_ZN3cgp4normIfLi2EEET_RKNS_14numarray_stackIS1_XT0_EEE(ptr noundef nonnull align 4 dereferenceable(8) %7)
  call void @llvm.lifetime.end.p0(i64 8, ptr %7) #5
  store float %20, ptr %6, align 4, !tbaa !9
  %21 = load float, ptr %6, align 4, !tbaa !9
  %22 = fcmp ogt float %21, 0x3F1A36E2E0000000
  br i1 %22, label %23, label %47

23:                                               ; preds = %2
  call void @llvm.lifetime.start.p0(i64 12, ptr %8) #5
  %24 = load ptr, ptr %4, align 8, !tbaa !5
  %25 = getelementptr inbounds %"struct.cgp::numarray_stack.1", ptr %24, i32 0, i32 0
  %26 = load float, ptr %25, align 4, !tbaa !11
  %27 = load ptr, ptr %4, align 8, !tbaa !5
  %28 = getelementptr inbounds %"struct.cgp::numarray_stack.1", ptr %27, i32 0, i32 1
  %29 = load float, ptr %28, align 4, !tbaa !13
  %30 = call { <2 x float>, float } @_ZN3cgp20trackball_projectionEff(float noundef %26, float noundef %29)
  store { <2 x float>, float } %30, ptr %9, align 8
  call void @llvm.memcpy.p0.p0.i64(ptr align 4 %8, ptr align 8 %9, i64 12, i1 false)
  call void @llvm.lifetime.start.p0(i64 12, ptr %10) #5
  %31 = load ptr, ptr %5, align 8, !tbaa !5
  %32 = getelementptr inbounds %"struct.cgp::numarray_stack.1", ptr %31, i32 0, i32 0
  %33 = load float, ptr %32, align 4, !tbaa !11
  %34 = load ptr, ptr %5, align 8, !tbaa !5
  %35 = getelementptr inbounds %"struct.cgp::numarray_stack.1", ptr %34, i32 0, i32 1
  %36 = load float, ptr %35, align 4, !tbaa !13
  %37 = call { <2 x float>, float } @_ZN3cgp20trackball_projectionEff(float noundef %33, float noundef %36)
  store { <2 x float>, float } %37, ptr %11, align 8
  call void @llvm.memcpy.p0.p0.i64(ptr align 4 %10, ptr align 8 %11, i64 12, i1 false)
  call void @llvm.lifetime.start.p0(i64 16, ptr %12) #5
  call void @llvm.lifetime.start.p0(i64 12, ptr %13) #5
  %38 = call { <2 x float>, float } @_ZN3cgp9normalizeIfLi3EEENS_14numarray_stackIT_XT0_EEERKS3_(ptr noundef nonnull align 4 dereferenceable(12) %8)
  store { <2 x float>, float } %38, ptr %14, align 8
  call void @llvm.memcpy.p0.p0.i64(ptr align 4 %13, ptr align 8 %14, i64 12, i1 false)
  call void @llvm.lifetime.start.p0(i64 12, ptr %15) #5
  %39 = call { <2 x float>, float } @_ZN3cgp9normalizeIfLi3EEENS_14numarray_stackIT_XT0_EEERKS3_(ptr noundef nonnull align 4 dereferenceable(12) %10)
  store { <2 x float>, float } %39, ptr %16, align 8
  call void @llvm.memcpy.p0.p0.i64(ptr align 4 %15, ptr align 8 %16, i64 12, i1 false)
  %40 = call { <2 x float>, <2 x float> } @_ZN3cgp18rotation_transform21from_vector_transformERKNS_14numarray_stackIfLi3EEES4_(ptr noundef nonnull align 4 dereferenceable(12) %13, ptr noundef nonnull align 4 dereferenceable(12) %15)
  %41 = getelementptr inbounds %"struct.cgp::rotation_transform", ptr %12, i32 0, i32 0
  %42 = getelementptr inbounds %"struct.cgp::quaternion", ptr %41, i32 0, i32 0
  %43 = getelementptr inbounds { <2 x float>, <2 x float> }, ptr %42, i32 0, i32 0
  %44 = extractvalue { <2 x float>, <2 x float> } %40, 0
  store <2 x float> %44, ptr %43, align 4
  %45 = getelementptr inbounds { <2 x float>, <2 x float> }, ptr %42, i32 0, i32 1
  %46 = extractvalue { <2 x float>, <2 x float> } %40, 1
  store <2 x float> %46, ptr %45, align 4
  call void @llvm.memcpy.p0.p0.i64(ptr align 4 %3, ptr align 4 %12, i64 16, i1 false)
  call void @llvm.lifetime.end.p0(i64 12, ptr %15) #5
  call void @llvm.lifetime.end.p0(i64 12, ptr %13) #5
  call void @llvm.lifetime.end.p0(i64 16, ptr %12) #5
  call void @llvm.lifetime.end.p0(i64 12, ptr %10) #5
  call void @llvm.lifetime.end.p0(i64 12, ptr %8) #5
  br label %47

47:                                               ; preds = %23, %2
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #5
  %48 = getelementptr inbounds %"struct.cgp::rotation_transform", ptr %3, i32 0, i32 0
  %49 = getelementptr inbounds %"struct.cgp::quaternion", ptr %48, i32 0, i32 0
  %50 = load { <2 x float>, <2 x float> }, ptr %49, align 4
  ret { <2 x float>, <2 x float> } %50
}

declare void @_ZN3cgp18rotation_transformC1Ev(ptr noundef nonnull align 4 dereferenceable(16)) unnamed_addr #4

; Function Attrs: mustprogress uwtable
declare dso_local noundef float @_ZN3cgp4normIfLi2EEET_RKNS_14numarray_stackIS1_XT0_EEE(ptr noundef nonnull align 4 dereferenceable(8)) #2

; Function Attrs: mustprogress uwtable
declare dso_local <2 x float> @_ZN3cgpmiIfLi2EEENS_14numarray_stackIT_XT0_EEERKS3_S5_(ptr noundef nonnull align 4 dereferenceable(8), ptr noundef nonnull align 4 dereferenceable(8)) #3

declare { <2 x float>, <2 x float> } @_ZN3cgp18rotation_transform21from_vector_transformERKNS_14numarray_stackIfLi3EEES4_(ptr noundef nonnull align 4 dereferenceable(12), ptr noundef nonnull align 4 dereferenceable(12)) #4

; Function Attrs: mustprogress uwtable
declare dso_local { <2 x float>, float } @_ZN3cgp9normalizeIfLi3EEENS_14numarray_stackIT_XT0_EEERKS3_(ptr noundef nonnull align 4 dereferenceable(12)) #3

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 = { mustprogress 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 #4 = { "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 #5 = { 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++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"float", !7, i64 0}
!11 = !{!12, !10, i64 0}
!12 = !{!"_ZTSN3cgp14numarray_stackIfLi2EEE", !10, i64 0, !10, i64 4}
!13 = !{!12, !10, 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"

%"struct.cgp::rotation_transform" = type { %"struct.cgp::quaternion" }
%"struct.cgp::quaternion" = type { %"struct.cgp::numarray_stack.0" }
%"struct.cgp::numarray_stack.0" = type { float, float, float, float }
%"struct.cgp::numarray_stack.1" = type { float, float }
%"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 uwtable
declare dso_local { <2 x float>, float } @_ZN3cgp20trackball_projectionEff(float noundef, float noundef) local_unnamed_addr #1

; Function Attrs: mustprogress uwtable
define dso_local { <2 x float>, <2 x float> } @_ZN3cgp18trackball_rotationERKNS_14numarray_stackIfLi2EEES3_(ptr noundef nonnull align 4 dereferenceable(8) %0, ptr noundef nonnull align 4 dereferenceable(8) %1) local_unnamed_addr #2 {
  %3 = alloca %"struct.cgp::rotation_transform", align 8
  %4 = alloca %"struct.cgp::numarray_stack.1", align 8
  %5 = alloca %"struct.cgp::numarray_stack", align 8
  %6 = alloca %"struct.cgp::numarray_stack", align 8
  %7 = alloca %"struct.cgp::numarray_stack", align 8
  %8 = alloca %"struct.cgp::numarray_stack", align 8
  call void @_ZN3cgp18rotation_transformC1Ev(ptr noundef nonnull align 4 dereferenceable(16) %3)
  call void @llvm.lifetime.start.p0(i64 8, ptr nonnull %4) #4
  %9 = call <2 x float> @_ZN3cgpmiIfLi2EEENS_14numarray_stackIT_XT0_EEERKS3_S5_(ptr noundef nonnull align 4 dereferenceable(8) %1, ptr noundef nonnull align 4 dereferenceable(8) %0)
  store <2 x float> %9, ptr %4, align 8
  %10 = call noundef float @_ZN3cgp4normIfLi2EEET_RKNS_14numarray_stackIS1_XT0_EEE(ptr noundef nonnull align 4 dereferenceable(8) %4)
  call void @llvm.lifetime.end.p0(i64 8, ptr nonnull %4) #4
  %11 = fcmp ogt float %10, 0x3F1A36E2E0000000
  br i1 %11, label %12, label %._crit_edge

._crit_edge:                                      ; preds = %2
  %.fca.0.load.pre = load <2 x float>, ptr %3, align 8
  %.fca.1.gep.phi.trans.insert = getelementptr inbounds i8, ptr %3, i64 8
  %.fca.1.load.pre = load <2 x float>, ptr %.fca.1.gep.phi.trans.insert, align 8
  br label %26

12:                                               ; preds = %2
  call void @llvm.lifetime.start.p0(i64 12, ptr nonnull %5) #4
  %13 = load float, ptr %0, align 4, !tbaa !5
  %14 = getelementptr inbounds i8, ptr %0, i64 4
  %15 = load float, ptr %14, align 4, !tbaa !10
  %16 = call { <2 x float>, float } @_ZN3cgp20trackball_projectionEff(float noundef %13, float noundef %15)
  %.fca.0.extract10 = extractvalue { <2 x float>, float } %16, 0
  %.fca.1.extract11 = extractvalue { <2 x float>, float } %16, 1
  store <2 x float> %.fca.0.extract10, ptr %5, align 8
  %.sroa.213.0..sroa_idx = getelementptr inbounds i8, ptr %5, i64 8
  store float %.fca.1.extract11, ptr %.sroa.213.0..sroa_idx, align 8
  call void @llvm.lifetime.start.p0(i64 12, ptr nonnull %6) #4
  %17 = load float, ptr %1, align 4, !tbaa !5
  %18 = getelementptr inbounds i8, ptr %1, i64 4
  %19 = load float, ptr %18, align 4, !tbaa !10
  %20 = call { <2 x float>, float } @_ZN3cgp20trackball_projectionEff(float noundef %17, float noundef %19)
  %.fca.0.extract6 = extractvalue { <2 x float>, float } %20, 0
  %.fca.1.extract7 = extractvalue { <2 x float>, float } %20, 1
  store <2 x float> %.fca.0.extract6, ptr %6, align 8
  %.sroa.29.0..sroa_idx = getelementptr inbounds i8, ptr %6, i64 8
  store float %.fca.1.extract7, ptr %.sroa.29.0..sroa_idx, align 8
  call void @llvm.lifetime.start.p0(i64 12, ptr nonnull %7) #4
  %21 = call { <2 x float>, float } @_ZN3cgp9normalizeIfLi3EEENS_14numarray_stackIT_XT0_EEERKS3_(ptr noundef nonnull align 4 dereferenceable(12) %5)
  %.fca.0.extract1 = extractvalue { <2 x float>, float } %21, 0
  %.fca.1.extract2 = extractvalue { <2 x float>, float } %21, 1
  store <2 x float> %.fca.0.extract1, ptr %7, align 8
  %.sroa.24.0..sroa_idx = getelementptr inbounds i8, ptr %7, i64 8
  store float %.fca.1.extract2, ptr %.sroa.24.0..sroa_idx, align 8
  call void @llvm.lifetime.start.p0(i64 12, ptr nonnull %8) #4
  %22 = call { <2 x float>, float } @_ZN3cgp9normalizeIfLi3EEENS_14numarray_stackIT_XT0_EEERKS3_(ptr noundef nonnull align 4 dereferenceable(12) %6)
  %.fca.0.extract = extractvalue { <2 x float>, float } %22, 0
  %.fca.1.extract = extractvalue { <2 x float>, float } %22, 1
  store <2 x float> %.fca.0.extract, ptr %8, align 8
  %.sroa.2.0..sroa_idx = getelementptr inbounds i8, ptr %8, i64 8
  store float %.fca.1.extract, ptr %.sroa.2.0..sroa_idx, align 8
  %23 = call { <2 x float>, <2 x float> } @_ZN3cgp18rotation_transform21from_vector_transformERKNS_14numarray_stackIfLi3EEES4_(ptr noundef nonnull align 4 dereferenceable(12) %7, ptr noundef nonnull align 4 dereferenceable(12) %8)
  %24 = extractvalue { <2 x float>, <2 x float> } %23, 0
  %25 = extractvalue { <2 x float>, <2 x float> } %23, 1
  call void @llvm.lifetime.end.p0(i64 12, ptr nonnull %8) #4
  call void @llvm.lifetime.end.p0(i64 12, ptr nonnull %7) #4
  call void @llvm.lifetime.end.p0(i64 12, ptr nonnull %6) #4
  call void @llvm.lifetime.end.p0(i64 12, ptr nonnull %5) #4
  br label %26

26:                                               ; preds = %._crit_edge, %12
  %.fca.1.load = phi <2 x float> [ %.fca.1.load.pre, %._crit_edge ], [ %25, %12 ]
  %.fca.0.load = phi <2 x float> [ %.fca.0.load.pre, %._crit_edge ], [ %24, %12 ]
  %.fca.0.insert = insertvalue { <2 x float>, <2 x float> } poison, <2 x float> %.fca.0.load, 0
  %.fca.1.insert = insertvalue { <2 x float>, <2 x float> } %.fca.0.insert, <2 x float> %.fca.1.load, 1
  ret { <2 x float>, <2 x float> } %.fca.1.insert
}

declare void @_ZN3cgp18rotation_transformC1Ev(ptr noundef nonnull align 4 dereferenceable(16)) unnamed_addr #3

; Function Attrs: mustprogress uwtable
declare dso_local noundef float @_ZN3cgp4normIfLi2EEET_RKNS_14numarray_stackIS1_XT0_EEE(ptr noundef nonnull align 4 dereferenceable(8)) local_unnamed_addr #1

; Function Attrs: mustprogress uwtable
declare dso_local <2 x float> @_ZN3cgpmiIfLi2EEENS_14numarray_stackIT_XT0_EEERKS3_S5_(ptr noundef nonnull align 4 dereferenceable(8), ptr noundef nonnull align 4 dereferenceable(8)) local_unnamed_addr #2

declare { <2 x float>, <2 x float> } @_ZN3cgp18rotation_transform21from_vector_transformERKNS_14numarray_stackIfLi3EEES4_(ptr noundef nonnull align 4 dereferenceable(12), ptr noundef nonnull align 4 dereferenceable(12)) local_unnamed_addr #3

; Function Attrs: mustprogress uwtable
declare dso_local { <2 x float>, float } @_ZN3cgp9normalizeIfLi3EEENS_14numarray_stackIT_XT0_EEERKS3_(ptr noundef nonnull align 4 dereferenceable(12)) local_unnamed_addr #2

attributes #0 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #2 = { mustprogress 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 #3 = { "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, !7, i64 0}
!6 = !{!"_ZTSN3cgp14numarray_stackIfLi2EEE", !7, i64 0, !7, i64 4}
!7 = !{!"float", !8, i64 0}
!8 = !{!"omnipotent char", !9, i64 0}
!9 = !{!"Simple C++ TBAA"}
!10 = !{!6, !7, i64 4}


; Effective O3 passes: BDCEPass,DSEPass,EarlyCSEPass,GVNPass,GlobalOptPass,InferAlignmentPass,InferFunctionAttrsPass,InstCombinePass,SROAPass