; LLVM IR from drohmer/cgp :: library/cgp/09_geometric_transformation/projection (projection)

; 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::matrix_stack" = type { %"struct.cgp::numarray_stack" }
%"struct.cgp::numarray_stack" = type { %"struct.cgp::numarray_stack.0", %"struct.cgp::numarray_stack.0", %"struct.cgp::numarray_stack.0", %"struct.cgp::numarray_stack.0" }
%"struct.cgp::numarray_stack.0" = type { float, float, float, float }
%"class.std::initializer_list" = type { ptr, i64 }

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

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef float @_ZSt3tanf(float noundef) #1

declare void @_ZN3cgp12matrix_stackIfLi4ELi4EEC1ERKSt16initializer_listIfE(ptr noundef nonnull align 4 dereferenceable(64), ptr noundef nonnull align 8 dereferenceable(16)) unnamed_addr #2

; 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 void @_ZN3cgp30projection_perspective_inverseEffff(ptr dead_on_unwind noalias writable sret(%"struct.cgp::matrix_stack") align 4 %0, float noundef %1, float noundef %2, float noundef %3, float noundef %4) #3 {
  %6 = alloca float, align 4
  %7 = alloca float, align 4
  %8 = alloca float, align 4
  %9 = alloca float, align 4
  %10 = alloca float, align 4
  %11 = alloca float, align 4
  %12 = alloca float, align 4
  %13 = alloca float, align 4
  %14 = alloca float, align 4
  %15 = alloca %"class.std::initializer_list", align 8
  %16 = alloca [16 x float], align 4
  store float %1, ptr %6, align 4, !tbaa !5
  store float %2, ptr %7, align 4, !tbaa !5
  store float %3, ptr %8, align 4, !tbaa !5
  store float %4, ptr %9, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %10) #4
  %17 = load float, ptr %6, align 4, !tbaa !5
  %18 = fdiv float %17, 2.000000e+00
  %19 = call noundef float @_ZSt3tanf(float noundef %18)
  %20 = fdiv float 1.000000e+00, %19
  store float %20, ptr %10, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %11) #4
  %21 = load float, ptr %10, align 4, !tbaa !5
  %22 = load float, ptr %7, align 4, !tbaa !5
  %23 = fdiv float %21, %22
  store float %23, ptr %11, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %12) #4
  %24 = load float, ptr %8, align 4, !tbaa !5
  %25 = load float, ptr %9, align 4, !tbaa !5
  %26 = fsub float %24, %25
  store float %26, ptr %12, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %13) #4
  %27 = load float, ptr %9, align 4, !tbaa !5
  %28 = load float, ptr %8, align 4, !tbaa !5
  %29 = fadd float %27, %28
  %30 = load float, ptr %12, align 4, !tbaa !5
  %31 = fdiv float %29, %30
  store float %31, ptr %13, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %14) #4
  %32 = load float, ptr %9, align 4, !tbaa !5
  %33 = fmul float 2.000000e+00, %32
  %34 = load float, ptr %8, align 4, !tbaa !5
  %35 = fmul float %33, %34
  %36 = load float, ptr %12, align 4, !tbaa !5
  %37 = fdiv float %35, %36
  store float %37, ptr %14, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 16, ptr %15) #4
  call void @llvm.lifetime.start.p0(i64 64, ptr %16) #4
  %38 = load float, ptr %11, align 4, !tbaa !5
  %39 = fdiv float 1.000000e+00, %38
  store float %39, ptr %16, align 4, !tbaa !5
  %40 = getelementptr inbounds float, ptr %16, i64 1
  store float 0.000000e+00, ptr %40, align 4, !tbaa !5
  %41 = getelementptr inbounds float, ptr %16, i64 2
  store float 0.000000e+00, ptr %41, align 4, !tbaa !5
  %42 = getelementptr inbounds float, ptr %16, i64 3
  store float 0.000000e+00, ptr %42, align 4, !tbaa !5
  %43 = getelementptr inbounds float, ptr %16, i64 4
  store float 0.000000e+00, ptr %43, align 4, !tbaa !5
  %44 = getelementptr inbounds float, ptr %16, i64 5
  %45 = load float, ptr %10, align 4, !tbaa !5
  %46 = fdiv float 1.000000e+00, %45
  store float %46, ptr %44, align 4, !tbaa !5
  %47 = getelementptr inbounds float, ptr %16, i64 6
  store float 0.000000e+00, ptr %47, align 4, !tbaa !5
  %48 = getelementptr inbounds float, ptr %16, i64 7
  store float 0.000000e+00, ptr %48, align 4, !tbaa !5
  %49 = getelementptr inbounds float, ptr %16, i64 8
  store float 0.000000e+00, ptr %49, align 4, !tbaa !5
  %50 = getelementptr inbounds float, ptr %16, i64 9
  store float 0.000000e+00, ptr %50, align 4, !tbaa !5
  %51 = getelementptr inbounds float, ptr %16, i64 10
  store float 0.000000e+00, ptr %51, align 4, !tbaa !5
  %52 = getelementptr inbounds float, ptr %16, i64 11
  store float -1.000000e+00, ptr %52, align 4, !tbaa !5
  %53 = getelementptr inbounds float, ptr %16, i64 12
  store float 0.000000e+00, ptr %53, align 4, !tbaa !5
  %54 = getelementptr inbounds float, ptr %16, i64 13
  store float 0.000000e+00, ptr %54, align 4, !tbaa !5
  %55 = getelementptr inbounds float, ptr %16, i64 14
  %56 = load float, ptr %14, align 4, !tbaa !5
  %57 = fdiv float 1.000000e+00, %56
  store float %57, ptr %55, align 4, !tbaa !5
  %58 = getelementptr inbounds float, ptr %16, i64 15
  %59 = load float, ptr %13, align 4, !tbaa !5
  %60 = load float, ptr %14, align 4, !tbaa !5
  %61 = fdiv float %59, %60
  store float %61, ptr %58, align 4, !tbaa !5
  %62 = getelementptr inbounds %"class.std::initializer_list", ptr %15, i32 0, i32 0
  store ptr %16, ptr %62, align 8, !tbaa !9
  %63 = getelementptr inbounds %"class.std::initializer_list", ptr %15, i32 0, i32 1
  store i64 16, ptr %63, align 8, !tbaa !13
  call void @_ZN3cgp12matrix_stackIfLi4ELi4EEC1ERKSt16initializer_listIfE(ptr noundef nonnull align 4 dereferenceable(64) %0, ptr noundef nonnull align 8 dereferenceable(16) %15)
  call void @llvm.lifetime.end.p0(i64 64, ptr %16) #4
  call void @llvm.lifetime.end.p0(i64 16, ptr %15) #4
  call void @llvm.lifetime.end.p0(i64 4, ptr %14) #4
  call void @llvm.lifetime.end.p0(i64 4, ptr %13) #4
  call void @llvm.lifetime.end.p0(i64 4, ptr %12) #4
  call void @llvm.lifetime.end.p0(i64 4, ptr %11) #4
  call void @llvm.lifetime.end.p0(i64 4, ptr %10) #4
  ret void
}

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #2 = { "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"="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 = { 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"}
!9 = !{!10, !11, i64 0}
!10 = !{!"_ZTSSt16initializer_listIfE", !11, i64 0, !12, i64 8}
!11 = !{!"any pointer", !7, i64 0}
!12 = !{!"long", !7, i64 0}
!13 = !{!10, !12, i64 8}


; 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::matrix_stack" = type { %"struct.cgp::numarray_stack" }
%"struct.cgp::numarray_stack" = type { %"struct.cgp::numarray_stack.0", %"struct.cgp::numarray_stack.0", %"struct.cgp::numarray_stack.0", %"struct.cgp::numarray_stack.0" }
%"struct.cgp::numarray_stack.0" = type { float, float, float, float }
%"class.std::initializer_list" = type { ptr, i64 }

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

; Function Attrs: inlinehint mustprogress nounwind uwtable
declare dso_local noundef float @_ZSt3tanf(float noundef) local_unnamed_addr #1

declare void @_ZN3cgp12matrix_stackIfLi4ELi4EEC1ERKSt16initializer_listIfE(ptr noundef nonnull align 4 dereferenceable(64), ptr noundef nonnull align 8 dereferenceable(16)) unnamed_addr #2

; 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
define dso_local void @_ZN3cgp30projection_perspective_inverseEffff(ptr dead_on_unwind noalias writable sret(%"struct.cgp::matrix_stack") align 4 %0, float noundef %1, float noundef %2, float noundef %3, float noundef %4) local_unnamed_addr #3 {
  %6 = alloca %"class.std::initializer_list", align 8
  %7 = alloca [16 x float], align 4
  %8 = fmul float %1, 5.000000e-01
  %9 = tail call noundef float @_ZSt3tanf(float noundef %8)
  %10 = fdiv float 1.000000e+00, %9
  %11 = fdiv float %10, %2
  %12 = fsub float %3, %4
  %13 = fadd float %3, %4
  %14 = fdiv float %13, %12
  %15 = fmul float %4, 2.000000e+00
  %16 = fmul float %15, %3
  %17 = fdiv float %16, %12
  call void @llvm.lifetime.start.p0(i64 16, ptr nonnull %6) #5
  call void @llvm.lifetime.start.p0(i64 64, ptr nonnull %7) #5
  %18 = fdiv float 1.000000e+00, %11
  store float %18, ptr %7, align 4, !tbaa !5
  %19 = getelementptr inbounds i8, ptr %7, i64 4
  %20 = getelementptr inbounds i8, ptr %7, i64 20
  %21 = fdiv float 1.000000e+00, %10
  call void @llvm.memset.p0.i64(ptr noundef nonnull align 4 dereferenceable(16) %19, i8 0, i64 16, i1 false)
  store float %21, ptr %20, align 4, !tbaa !5
  %22 = getelementptr inbounds i8, ptr %7, i64 24
  %23 = getelementptr inbounds i8, ptr %7, i64 44
  call void @llvm.memset.p0.i64(ptr noundef nonnull align 4 dereferenceable(20) %22, i8 0, i64 20, i1 false)
  store <2 x float> <float -1.000000e+00, float 0.000000e+00>, ptr %23, align 4, !tbaa !5
  %24 = getelementptr inbounds i8, ptr %7, i64 52
  store float 0.000000e+00, ptr %24, align 4, !tbaa !5
  %25 = getelementptr inbounds i8, ptr %7, i64 56
  %26 = insertelement <2 x float> <float 1.000000e+00, float poison>, float %14, i64 1
  %27 = insertelement <2 x float> poison, float %17, i64 0
  %28 = shufflevector <2 x float> %27, <2 x float> poison, <2 x i32> zeroinitializer
  %29 = fdiv <2 x float> %26, %28
  store <2 x float> %29, ptr %25, align 4, !tbaa !5
  store ptr %7, ptr %6, align 8, !tbaa !9
  %30 = getelementptr inbounds i8, ptr %6, i64 8
  store i64 16, ptr %30, align 8, !tbaa !13
  call void @_ZN3cgp12matrix_stackIfLi4ELi4EEC1ERKSt16initializer_listIfE(ptr noundef nonnull align 4 dereferenceable(64) %0, ptr noundef nonnull align 8 dereferenceable(16) %6)
  call void @llvm.lifetime.end.p0(i64 64, ptr nonnull %7) #5
  call void @llvm.lifetime.end.p0(i64 16, ptr nonnull %6) #5
  ret void
}

; Function Attrs: nocallback nofree nounwind willreturn memory(argmem: write)
declare void @llvm.memset.p0.i64(ptr nocapture writeonly, i8, i64, i1 immarg) #4

attributes #0 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 #2 = { "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"="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 nounwind willreturn memory(argmem: write) }
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 = !{!"float", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !11, i64 0}
!10 = !{!"_ZTSSt16initializer_listIfE", !11, i64 0, !12, i64 8}
!11 = !{!"any pointer", !7, i64 0}
!12 = !{!"long", !7, i64 0}
!13 = !{!10, !12, i64 8}


; Effective O3 passes: EarlyCSEPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,MemCpyOptPass,ReassociatePass,SLPVectorizerPass,SROAPass,TailCallElimPass