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

; 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.0" = type { float, float, float }
%"struct.cgp::rotation_transform" = type { %"struct.cgp::quaternion" }
%"struct.cgp::quaternion" = type { %"struct.cgp::numarray_stack" }
%"struct.cgp::numarray_stack" = type { float, 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 nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.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 speculatable willreturn memory(none)
declare float @llvm.fmuladd.f32(float, float, float) #2

; 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 #3 align 2

; Function Attrs: mustprogress uwtable
define dso_local { <2 x float>, float } @_ZNK3cgp18rotation_transform12matrix_col_xEv(ptr noundef nonnull align 4 dereferenceable(16) %0) #4 align 2 {
  %2 = alloca %"struct.cgp::numarray_stack.0", align 4
  %3 = alloca ptr, align 8
  %4 = alloca float, align 4
  %5 = alloca float, align 4
  %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 { <2 x float>, float }, align 8
  store ptr %0, ptr %3, align 8, !tbaa !5
  %12 = load ptr, ptr %3, align 8
  call void @llvm.lifetime.start.p0(i64 4, ptr %4) #5
  %13 = getelementptr inbounds %"struct.cgp::rotation_transform", ptr %12, i32 0, i32 0
  %14 = getelementptr inbounds %"struct.cgp::numarray_stack", ptr %13, i32 0, i32 0
  %15 = load float, ptr %14, align 4, !tbaa !9
  store float %15, ptr %4, align 4, !tbaa !12
  call void @llvm.lifetime.start.p0(i64 4, ptr %5) #5
  %16 = getelementptr inbounds %"struct.cgp::rotation_transform", ptr %12, i32 0, i32 0
  %17 = getelementptr inbounds %"struct.cgp::numarray_stack", ptr %16, i32 0, i32 1
  %18 = load float, ptr %17, align 4, !tbaa !13
  store float %18, ptr %5, align 4, !tbaa !12
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #5
  %19 = getelementptr inbounds %"struct.cgp::rotation_transform", ptr %12, i32 0, i32 0
  %20 = getelementptr inbounds %"struct.cgp::numarray_stack", ptr %19, i32 0, i32 2
  %21 = load float, ptr %20, align 4, !tbaa !14
  store float %21, ptr %6, align 4, !tbaa !12
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #5
  %22 = getelementptr inbounds %"struct.cgp::rotation_transform", ptr %12, i32 0, i32 0
  %23 = getelementptr inbounds %"struct.cgp::numarray_stack", ptr %22, i32 0, i32 3
  %24 = load float, ptr %23, align 4, !tbaa !15
  store float %24, ptr %7, align 4, !tbaa !12
  call void @llvm.lifetime.start.p0(i64 4, ptr %8) #5
  %25 = load float, ptr %5, align 4, !tbaa !12
  %26 = load float, ptr %5, align 4, !tbaa !12
  %27 = load float, ptr %6, align 4, !tbaa !12
  %28 = load float, ptr %6, align 4, !tbaa !12
  %29 = fmul float %27, %28
  %30 = call float @llvm.fmuladd.f32(float %25, float %26, float %29)
  %31 = call float @llvm.fmuladd.f32(float -2.000000e+00, float %30, float 1.000000e+00)
  store float %31, ptr %8, align 4, !tbaa !12
  call void @llvm.lifetime.start.p0(i64 4, ptr %9) #5
  %32 = load float, ptr %4, align 4, !tbaa !12
  %33 = load float, ptr %5, align 4, !tbaa !12
  %34 = load float, ptr %7, align 4, !tbaa !12
  %35 = load float, ptr %6, align 4, !tbaa !12
  %36 = fmul float %34, %35
  %37 = call float @llvm.fmuladd.f32(float %32, float %33, float %36)
  %38 = fmul float 2.000000e+00, %37
  store float %38, ptr %9, align 4, !tbaa !12
  call void @llvm.lifetime.start.p0(i64 4, ptr %10) #5
  %39 = load float, ptr %4, align 4, !tbaa !12
  %40 = load float, ptr %6, align 4, !tbaa !12
  %41 = load float, ptr %7, align 4, !tbaa !12
  %42 = load float, ptr %5, align 4, !tbaa !12
  %43 = fmul float %41, %42
  %44 = fneg float %43
  %45 = call float @llvm.fmuladd.f32(float %39, float %40, float %44)
  %46 = fmul float 2.000000e+00, %45
  store float %46, ptr %10, align 4, !tbaa !12
  call void @_ZN3cgp14numarray_stackIfLi3EEC2ERKfS3_S3_(ptr noundef nonnull align 4 dereferenceable(12) %2, ptr noundef nonnull align 4 dereferenceable(4) %8, ptr noundef nonnull align 4 dereferenceable(4) %9, ptr noundef nonnull align 4 dereferenceable(4) %10)
  call void @llvm.lifetime.end.p0(i64 4, ptr %10) #5
  call void @llvm.lifetime.end.p0(i64 4, ptr %9) #5
  call void @llvm.lifetime.end.p0(i64 4, ptr %8) #5
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #5
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #5
  call void @llvm.lifetime.end.p0(i64 4, ptr %5) #5
  call void @llvm.lifetime.end.p0(i64 4, ptr %4) #5
  call void @llvm.memcpy.p0.p0.i64(ptr align 8 %11, ptr align 4 %2, i64 12, i1 false)
  %47 = load { <2 x float>, float }, ptr %11, align 8
  ret { <2 x float>, float } %47
}

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { nocallback nofree nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #3 = { 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 = { 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 #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, !11, i64 0}
!10 = !{!"_ZTSN3cgp14numarray_stackIfLi4EEE", !11, i64 0, !11, i64 4, !11, i64 8, !11, i64 12}
!11 = !{!"float", !7, i64 0}
!12 = !{!11, !11, i64 0}
!13 = !{!10, !11, i64 4}
!14 = !{!10, !11, i64 8}
!15 = !{!10, !11, i64 12}


; 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.0" = 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 nocallback nofree nosync nounwind speculatable willreturn memory(none)
declare float @llvm.fmuladd.f32(float, float, float) #1

; 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 #2 align 2

; Function Attrs: mustprogress nounwind uwtable
define dso_local { <2 x float>, float } @_ZNK3cgp18rotation_transform12matrix_col_xEv(ptr nocapture noundef nonnull readonly align 4 dereferenceable(16) %0) local_unnamed_addr #2 align 2 {
  %2 = alloca %"struct.cgp::numarray_stack.0", align 8
  %3 = alloca float, align 4
  %4 = alloca float, align 4
  %5 = alloca float, align 4
  %6 = load float, ptr %0, align 4, !tbaa !5
  %7 = getelementptr inbounds i8, ptr %0, i64 4
  %8 = load float, ptr %7, align 4, !tbaa !10
  %9 = getelementptr inbounds i8, ptr %0, i64 8
  %10 = load float, ptr %9, align 4, !tbaa !11
  %11 = getelementptr inbounds i8, ptr %0, i64 12
  %12 = load float, ptr %11, align 4, !tbaa !12
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %3) #3
  %13 = fmul float %10, %10
  %14 = tail call float @llvm.fmuladd.f32(float %8, float %8, float %13)
  %15 = tail call float @llvm.fmuladd.f32(float %14, float -2.000000e+00, float 1.000000e+00)
  store float %15, ptr %3, align 4, !tbaa !13
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %4) #3
  %16 = fmul float %10, %12
  %17 = tail call float @llvm.fmuladd.f32(float %6, float %8, float %16)
  %18 = fmul float %17, 2.000000e+00
  store float %18, ptr %4, align 4, !tbaa !13
  call void @llvm.lifetime.start.p0(i64 4, ptr nonnull %5) #3
  %19 = fneg float %12
  %20 = fmul float %8, %19
  %21 = tail call float @llvm.fmuladd.f32(float %6, float %10, float %20)
  %22 = fmul float %21, 2.000000e+00
  store float %22, ptr %5, align 4, !tbaa !13
  call void @_ZN3cgp14numarray_stackIfLi3EEC2ERKfS3_S3_(ptr noundef nonnull align 4 dereferenceable(12) %2, ptr noundef nonnull align 4 dereferenceable(4) %3, ptr noundef nonnull align 4 dereferenceable(4) %4, ptr noundef nonnull align 4 dereferenceable(4) %5)
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %5) #3
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %4) #3
  call void @llvm.lifetime.end.p0(i64 4, ptr nonnull %3) #3
  %.sroa.0.0.copyload = load <2 x float>, ptr %2, align 8
  %.sroa.2.0..sroa_idx = getelementptr inbounds i8, ptr %2, 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
}

attributes #0 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { mustprogress nocallback nofree nosync nounwind speculatable willreturn memory(none) }
attributes #2 = { 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 = { 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_stackIfLi4EEE", !7, i64 0, !7, i64 4, !7, i64 8, !7, i64 12}
!7 = !{!"float", !8, i64 0}
!8 = !{!"omnipotent char", !9, i64 0}
!9 = !{!"Simple C++ TBAA"}
!10 = !{!6, !7, i64 4}
!11 = !{!6, !7, i64 8}
!12 = !{!6, !7, i64 12}
!13 = !{!7, !7, i64 0}


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