; 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

declare void @_ZN3cgp12matrix_stackIfLi4ELi4EEC1ERKSt16initializer_listIfE(ptr noundef nonnull align 4 dereferenceable(64), ptr noundef nonnull align 8 dereferenceable(16)) unnamed_addr #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 void @_ZN3cgp31projection_orthographic_inverseEffffff(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, float noundef %5, float noundef %6) #2 {
  %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 %"class.std::initializer_list", align 8
  %15 = alloca [16 x float], align 4
  store float %1, ptr %8, align 4, !tbaa !5
  store float %2, ptr %9, align 4, !tbaa !5
  store float %3, ptr %10, align 4, !tbaa !5
  store float %4, ptr %11, align 4, !tbaa !5
  store float %5, ptr %12, align 4, !tbaa !5
  store float %6, ptr %13, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 16, ptr %14) #3
  call void @llvm.lifetime.start.p0(i64 64, ptr %15) #3
  %16 = load float, ptr %9, align 4, !tbaa !5
  %17 = load float, ptr %8, align 4, !tbaa !5
  %18 = fsub float %16, %17
  %19 = fdiv float %18, 2.000000e+00
  store float %19, ptr %15, align 4, !tbaa !5
  %20 = getelementptr inbounds float, ptr %15, i64 1
  store float 0.000000e+00, ptr %20, align 4, !tbaa !5
  %21 = getelementptr inbounds float, ptr %15, i64 2
  store float 0.000000e+00, ptr %21, align 4, !tbaa !5
  %22 = getelementptr inbounds float, ptr %15, i64 3
  %23 = load float, ptr %9, align 4, !tbaa !5
  %24 = load float, ptr %8, align 4, !tbaa !5
  %25 = fadd float %23, %24
  %26 = fdiv float %25, 2.000000e+00
  store float %26, ptr %22, align 4, !tbaa !5
  %27 = getelementptr inbounds float, ptr %15, i64 4
  store float 0.000000e+00, ptr %27, align 4, !tbaa !5
  %28 = getelementptr inbounds float, ptr %15, i64 5
  %29 = load float, ptr %11, align 4, !tbaa !5
  %30 = load float, ptr %10, align 4, !tbaa !5
  %31 = fsub float %29, %30
  %32 = fdiv float %31, 2.000000e+00
  store float %32, ptr %28, align 4, !tbaa !5
  %33 = getelementptr inbounds float, ptr %15, i64 6
  store float 0.000000e+00, ptr %33, align 4, !tbaa !5
  %34 = getelementptr inbounds float, ptr %15, i64 7
  %35 = load float, ptr %11, align 4, !tbaa !5
  %36 = load float, ptr %10, align 4, !tbaa !5
  %37 = fadd float %35, %36
  %38 = fdiv float %37, 2.000000e+00
  store float %38, ptr %34, align 4, !tbaa !5
  %39 = getelementptr inbounds float, ptr %15, i64 8
  store float 0.000000e+00, ptr %39, align 4, !tbaa !5
  %40 = getelementptr inbounds float, ptr %15, i64 9
  store float 0.000000e+00, ptr %40, align 4, !tbaa !5
  %41 = getelementptr inbounds float, ptr %15, i64 10
  %42 = load float, ptr %13, align 4, !tbaa !5
  %43 = load float, ptr %12, align 4, !tbaa !5
  %44 = fsub float %42, %43
  %45 = fneg float %44
  %46 = fdiv float %45, 2.000000e+00
  store float %46, ptr %41, align 4, !tbaa !5
  %47 = getelementptr inbounds float, ptr %15, i64 11
  %48 = load float, ptr %13, align 4, !tbaa !5
  %49 = load float, ptr %12, align 4, !tbaa !5
  %50 = fadd float %48, %49
  %51 = fdiv float %50, 2.000000e+00
  store float %51, ptr %47, align 4, !tbaa !5
  %52 = getelementptr inbounds float, ptr %15, i64 12
  store float 0.000000e+00, ptr %52, align 4, !tbaa !5
  %53 = getelementptr inbounds float, ptr %15, i64 13
  store float 0.000000e+00, ptr %53, align 4, !tbaa !5
  %54 = getelementptr inbounds float, ptr %15, i64 14
  store float 0.000000e+00, ptr %54, align 4, !tbaa !5
  %55 = getelementptr inbounds float, ptr %15, i64 15
  store float 1.000000e+00, ptr %55, align 4, !tbaa !5
  %56 = getelementptr inbounds %"class.std::initializer_list", ptr %14, i32 0, i32 0
  store ptr %15, ptr %56, align 8, !tbaa !9
  %57 = getelementptr inbounds %"class.std::initializer_list", ptr %14, i32 0, i32 1
  store i64 16, ptr %57, align 8, !tbaa !13
  call void @_ZN3cgp12matrix_stackIfLi4ELi4EEC1ERKSt16initializer_listIfE(ptr noundef nonnull align 4 dereferenceable(64) %0, ptr noundef nonnull align 8 dereferenceable(16) %14)
  call void @llvm.lifetime.end.p0(i64 64, ptr %15) #3
  call void @llvm.lifetime.end.p0(i64 16, ptr %14) #3
  ret void
}

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { "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"="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 = { 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

declare void @_ZN3cgp12matrix_stackIfLi4ELi4EEC1ERKSt16initializer_listIfE(ptr noundef nonnull align 4 dereferenceable(64), ptr noundef nonnull align 8 dereferenceable(16)) unnamed_addr #1

; 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 @_ZN3cgp31projection_orthographic_inverseEffffff(ptr dead_on_unwind noalias nonnull writable sret(%"struct.cgp::matrix_stack") align 4 %0, float noundef %1, float noundef %2, float noundef %3, float noundef %4, float noundef %5, float noundef %6) local_unnamed_addr #2 {
  %8 = alloca %"class.std::initializer_list", align 8
  %9 = alloca [16 x float], align 4
  call void @llvm.lifetime.start.p0(i64 16, ptr nonnull %8) #3
  call void @llvm.lifetime.start.p0(i64 64, ptr nonnull %9) #3
  %10 = fsub float %2, %1
  %11 = fmul float %10, 5.000000e-01
  store float %11, ptr %9, align 4, !tbaa !5
  %12 = getelementptr inbounds i8, ptr %9, i64 4
  store <2 x float> zeroinitializer, ptr %12, align 4, !tbaa !5
  %13 = getelementptr inbounds i8, ptr %9, i64 12
  %14 = fadd float %1, %2
  %15 = fmul float %14, 5.000000e-01
  store float %15, ptr %13, align 4, !tbaa !5
  %16 = getelementptr inbounds i8, ptr %9, i64 16
  store float 0.000000e+00, ptr %16, align 4, !tbaa !5
  %17 = getelementptr inbounds i8, ptr %9, i64 20
  %18 = fsub float %4, %3
  %19 = fmul float %18, 5.000000e-01
  store float %19, ptr %17, align 4, !tbaa !5
  %20 = getelementptr inbounds i8, ptr %9, i64 24
  store float 0.000000e+00, ptr %20, align 4, !tbaa !5
  %21 = getelementptr inbounds i8, ptr %9, i64 28
  %22 = fadd float %3, %4
  %23 = fmul float %22, 5.000000e-01
  store float %23, ptr %21, align 4, !tbaa !5
  %24 = getelementptr inbounds i8, ptr %9, i64 32
  store <2 x float> zeroinitializer, ptr %24, align 4, !tbaa !5
  %25 = getelementptr inbounds i8, ptr %9, i64 40
  %26 = fsub float %6, %5
  %27 = fadd float %5, %6
  %28 = insertelement <2 x float> poison, float %26, i64 0
  %29 = insertelement <2 x float> %28, float %27, i64 1
  %30 = fmul <2 x float> %29, <float -5.000000e-01, float 5.000000e-01>
  store <2 x float> %30, ptr %25, align 4, !tbaa !5
  %31 = getelementptr inbounds i8, ptr %9, i64 48
  store <4 x float> <float 0.000000e+00, float 0.000000e+00, float 0.000000e+00, float 1.000000e+00>, ptr %31, align 4, !tbaa !5
  store ptr %9, ptr %8, align 8, !tbaa !9
  %32 = getelementptr inbounds i8, ptr %8, i64 8
  store i64 16, ptr %32, align 8, !tbaa !13
  call void @_ZN3cgp12matrix_stackIfLi4ELi4EEC1ERKSt16initializer_listIfE(ptr noundef nonnull align 4 dereferenceable(64) %0, ptr noundef nonnull align 8 dereferenceable(16) %8)
  call void @llvm.lifetime.end.p0(i64 64, ptr nonnull %9) #3
  call void @llvm.lifetime.end.p0(i64 16, ptr nonnull %8) #3
  ret void
}

attributes #0 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { "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"="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 = { 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,PostOrderFunctionAttrsPass,ReassociatePass,SLPVectorizerPass,SROAPass