; LLVM IR from sunkafei/xcpc-algorithm-templates :: 算法/数学算法/快速傅里叶变换.ll (Z4initv)

; 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"

%"class.std::complex" = type { { double, double } }

@_ZL2pi = external hidden global double, align 8
@w = external dso_local global [4194304 x %"class.std::complex"], align 16

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt7complexIdEC2Edd(ptr noundef nonnull align 8 dereferenceable(16), double noundef, double noundef) unnamed_addr #0 align 2

; Function Attrs: mustprogress uwtable
define dso_local void @_Z4initv() #1 {
  %1 = alloca i32, align 4
  %2 = alloca %"class.std::complex", align 8
  call void @llvm.lifetime.start.p0(i64 4, ptr %1) #5
  store i32 0, ptr %1, align 4, !tbaa !5
  br label %3

3:                                                ; preds = %25, %0
  %4 = load i32, ptr %1, align 4, !tbaa !5
  %5 = icmp slt i32 %4, 4194304
  br i1 %5, label %7, label %6

6:                                                ; preds = %3
  call void @llvm.lifetime.end.p0(i64 4, ptr %1) #5
  br label %28

7:                                                ; preds = %3
  call void @llvm.lifetime.start.p0(i64 16, ptr %2) #5
  %8 = load double, ptr @_ZL2pi, align 8, !tbaa !9
  %9 = fmul double %8, 2.000000e+00
  %10 = load i32, ptr %1, align 4, !tbaa !5
  %11 = sitofp i32 %10 to double
  %12 = fmul double %9, %11
  %13 = fdiv double %12, 0x4150000000000000
  %14 = call double @cos(double noundef %13) #5
  %15 = load double, ptr @_ZL2pi, align 8, !tbaa !9
  %16 = fmul double %15, 2.000000e+00
  %17 = load i32, ptr %1, align 4, !tbaa !5
  %18 = sitofp i32 %17 to double
  %19 = fmul double %16, %18
  %20 = fdiv double %19, 0x4150000000000000
  %21 = call double @sin(double noundef %20) #5
  call void @_ZNSt7complexIdEC2Edd(ptr noundef nonnull align 8 dereferenceable(16) %2, double noundef %14, double noundef %21)
  %22 = load i32, ptr %1, align 4, !tbaa !5
  %23 = sext i32 %22 to i64
  %24 = getelementptr inbounds [4194304 x %"class.std::complex"], ptr @w, i64 0, i64 %23
  call void @llvm.memcpy.p0.p0.i64(ptr align 16 %24, ptr align 8 %2, i64 16, i1 false), !tbaa.struct !11
  call void @llvm.lifetime.end.p0(i64 16, ptr %2) #5
  br label %25

25:                                               ; preds = %7
  %26 = load i32, ptr %1, align 4, !tbaa !5
  %27 = add nsw i32 %26, 1
  store i32 %27, ptr %1, align 4, !tbaa !5
  br label %3, !llvm.loop !13

28:                                               ; preds = %6
  ret void
}

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #2

; Function Attrs: nounwind
declare double @cos(double noundef) #3

; Function Attrs: nounwind
declare double @sin(double noundef) #3

; 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) #4

; Function Attrs: nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #2

attributes #0 = { 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 #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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #3 = { nounwind "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: readwrite) }
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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}
!11 = !{i64 0, i64 16, !12}
!12 = !{!7, !7, i64 0}
!13 = distinct !{!13, !14}
!14 = !{!"llvm.loop.mustprogress"}


; 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"

%"class.std::complex" = type { { double, double } }

@_ZL2pi = external hidden local_unnamed_addr global double, align 8
@w = external dso_local local_unnamed_addr global [4194304 x %"class.std::complex"], align 16

; Function Attrs: mustprogress nounwind uwtable
declare dso_local void @_ZNSt7complexIdEC2Edd(ptr noundef nonnull align 8 dereferenceable(16), double noundef, double noundef) unnamed_addr #0 align 2

; Function Attrs: mustprogress nounwind uwtable
define dso_local void @_Z4initv() local_unnamed_addr #0 {
  %1 = alloca %"class.std::complex", align 8
  br label %3

2:                                                ; preds = %3
  ret void

3:                                                ; preds = %0, %3
  %indvars.iv = phi i64 [ 0, %0 ], [ %indvars.iv.next, %3 ]
  call void @llvm.lifetime.start.p0(i64 16, ptr nonnull %1) #4
  %4 = load double, ptr @_ZL2pi, align 8, !tbaa !5
  %5 = fmul double %4, 2.000000e+00
  %6 = trunc nuw nsw i64 %indvars.iv to i32
  %7 = uitofp nneg i32 %6 to double
  %8 = fmul double %5, %7
  %9 = fmul double %8, 0x3E90000000000000
  %10 = call double @cos(double noundef %9) #4
  %11 = load double, ptr @_ZL2pi, align 8, !tbaa !5
  %12 = fmul double %11, 2.000000e+00
  %13 = fmul double %12, %7
  %14 = fmul double %13, 0x3E90000000000000
  %15 = call double @sin(double noundef %14) #4
  call void @_ZNSt7complexIdEC2Edd(ptr noundef nonnull align 8 dereferenceable(16) %1, double noundef %10, double noundef %15)
  %16 = getelementptr inbounds [4194304 x %"class.std::complex"], ptr @w, i64 0, i64 %indvars.iv
  call void @llvm.memcpy.p0.p0.i64(ptr noundef nonnull align 16 dereferenceable(16) %16, ptr noundef nonnull align 8 dereferenceable(16) %1, i64 16, i1 false), !tbaa.struct !9
  call void @llvm.lifetime.end.p0(i64 16, ptr nonnull %1) #4
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond.not = icmp eq i64 %indvars.iv.next, 4194304
  br i1 %exitcond.not, label %2, label %3, !llvm.loop !11
}

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.start.p0(i64 immarg, ptr nocapture) #1

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare double @cos(double noundef) local_unnamed_addr #2

; Function Attrs: mustprogress nofree nounwind willreturn memory(write)
declare double @sin(double noundef) local_unnamed_addr #2

; Function Attrs: mustprogress 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) #3

; Function Attrs: mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite)
declare void @llvm.lifetime.end.p0(i64 immarg, ptr nocapture) #1

attributes #0 = { 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 #1 = { mustprogress nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #2 = { mustprogress nofree nounwind willreturn memory(write) "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 nounwind willreturn memory(argmem: readwrite) }
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 = !{!"double", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C++ TBAA"}
!9 = !{i64 0, i64 16, !10}
!10 = !{!7, !7, i64 0}
!11 = distinct !{!11, !12}
!12 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: EarlyCSEPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,LoopRotatePass,PostOrderFunctionAttrsPass,ReassociatePass,SROAPass,SimplifyCFGPass