; LLVM IR from Amoiensis/Optimization-Algorithm :: [Direct_Method]直接法/[Univariate_Search_Method]坐标轮换法 (main)

; 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._Matrix = type { i32, i32, ptr }

; 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: nounwind uwtable
define dso_local ptr @M_numul(ptr noundef %0, double noundef %1) #1 {
  %3 = alloca ptr, align 8
  %4 = alloca double, align 8
  %5 = alloca ptr, align 8
  %6 = alloca i32, align 4
  %7 = alloca i32, align 4
  store ptr %0, ptr %3, align 8, !tbaa !5
  store double %1, ptr %4, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %5) #2
  %8 = load ptr, ptr %3, align 8, !tbaa !5
  %9 = getelementptr inbounds %struct._Matrix, ptr %8, i32 0, i32 2
  %10 = load ptr, ptr %9, align 8, !tbaa !11
  store ptr %10, ptr %5, align 8, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %6) #2
  %11 = load ptr, ptr %3, align 8, !tbaa !5
  %12 = getelementptr inbounds %struct._Matrix, ptr %11, i32 0, i32 0
  %13 = load i32, ptr %12, align 8, !tbaa !14
  %14 = load ptr, ptr %3, align 8, !tbaa !5
  %15 = getelementptr inbounds %struct._Matrix, ptr %14, i32 0, i32 1
  %16 = load i32, ptr %15, align 4, !tbaa !15
  %17 = mul nsw i32 %13, %16
  store i32 %17, ptr %6, align 4, !tbaa !16
  call void @llvm.lifetime.start.p0(i64 4, ptr %7) #2
  store i32 0, ptr %7, align 4, !tbaa !16
  br label %18

18:                                               ; preds = %34, %2
  %19 = load i32, ptr %7, align 4, !tbaa !16
  %20 = load i32, ptr %6, align 4, !tbaa !16
  %21 = icmp slt i32 %19, %20
  br i1 %21, label %22, label %37

22:                                               ; preds = %18
  %23 = load ptr, ptr %5, align 8, !tbaa !5
  %24 = load i32, ptr %7, align 4, !tbaa !16
  %25 = sext i32 %24 to i64
  %26 = getelementptr inbounds double, ptr %23, i64 %25
  %27 = load double, ptr %26, align 8, !tbaa !9
  %28 = load double, ptr %4, align 8, !tbaa !9
  %29 = fmul double %27, %28
  %30 = load ptr, ptr %5, align 8, !tbaa !5
  %31 = load i32, ptr %7, align 4, !tbaa !16
  %32 = sext i32 %31 to i64
  %33 = getelementptr inbounds double, ptr %30, i64 %32
  store double %29, ptr %33, align 8, !tbaa !9
  br label %34

34:                                               ; preds = %22
  %35 = load i32, ptr %7, align 4, !tbaa !16
  %36 = add nsw i32 %35, 1
  store i32 %36, ptr %7, align 4, !tbaa !16
  br label %18, !llvm.loop !17

37:                                               ; preds = %18
  %38 = load ptr, ptr %3, align 8, !tbaa !5
  call void @llvm.lifetime.end.p0(i64 4, ptr %7) #2
  call void @llvm.lifetime.end.p0(i64 4, ptr %6) #2
  call void @llvm.lifetime.end.p0(i64 8, ptr %5) #2
  ret ptr %38
}

attributes #0 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
attributes #1 = { 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 = { 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/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"double", !7, i64 0}
!11 = !{!12, !6, i64 8}
!12 = !{!"_Matrix", !13, i64 0, !13, i64 4, !6, i64 8}
!13 = !{!"int", !7, i64 0}
!14 = !{!12, !13, i64 0}
!15 = !{!12, !13, i64 4}
!16 = !{!13, !13, i64 0}
!17 = distinct !{!17, !18}
!18 = !{!"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"

; Function Attrs: nofree norecurse nosync nounwind memory(readwrite, inaccessiblemem: none) uwtable
define dso_local noundef ptr @M_numul(ptr noundef readonly returned %0, double noundef %1) local_unnamed_addr #0 {
  %3 = getelementptr inbounds i8, ptr %0, i64 8
  %4 = load ptr, ptr %3, align 8, !tbaa !5
  %5 = load i32, ptr %0, align 8, !tbaa !11
  %6 = getelementptr inbounds i8, ptr %0, i64 4
  %7 = load i32, ptr %6, align 4, !tbaa !12
  %8 = mul nsw i32 %7, %5
  %9 = icmp sgt i32 %8, 0
  br i1 %9, label %.lr.ph.preheader, label %._crit_edge

.lr.ph.preheader:                                 ; preds = %2
  %wide.trip.count = zext nneg i32 %8 to i64
  %min.iters.check = icmp ult i32 %8, 4
  br i1 %min.iters.check, label %.lr.ph.preheader14, label %vector.ph

vector.ph:                                        ; preds = %.lr.ph.preheader
  %n.vec = and i64 %wide.trip.count, 2147483644
  %broadcast.splatinsert = insertelement <2 x double> poison, double %1, i64 0
  %broadcast.splat = shufflevector <2 x double> %broadcast.splatinsert, <2 x double> poison, <2 x i32> zeroinitializer
  br label %vector.body

vector.body:                                      ; preds = %vector.body, %vector.ph
  %index = phi i64 [ 0, %vector.ph ], [ %index.next, %vector.body ]
  %10 = getelementptr inbounds double, ptr %4, i64 %index
  %11 = getelementptr inbounds i8, ptr %10, i64 16
  %wide.load = load <2 x double>, ptr %10, align 8, !tbaa !13
  %wide.load13 = load <2 x double>, ptr %11, align 8, !tbaa !13
  %12 = fmul <2 x double> %wide.load, %broadcast.splat
  %13 = fmul <2 x double> %wide.load13, %broadcast.splat
  store <2 x double> %12, ptr %10, align 8, !tbaa !13
  store <2 x double> %13, ptr %11, align 8, !tbaa !13
  %index.next = add nuw i64 %index, 4
  %14 = icmp eq i64 %index.next, %n.vec
  br i1 %14, label %middle.block, label %vector.body, !llvm.loop !15

middle.block:                                     ; preds = %vector.body
  %cmp.n = icmp eq i64 %n.vec, %wide.trip.count
  br i1 %cmp.n, label %._crit_edge, label %.lr.ph.preheader14

.lr.ph.preheader14:                               ; preds = %middle.block, %.lr.ph.preheader
  %indvars.iv.ph = phi i64 [ 0, %.lr.ph.preheader ], [ %n.vec, %middle.block ]
  br label %.lr.ph

.lr.ph:                                           ; preds = %.lr.ph.preheader14, %.lr.ph
  %indvars.iv = phi i64 [ %indvars.iv.next, %.lr.ph ], [ %indvars.iv.ph, %.lr.ph.preheader14 ]
  %15 = getelementptr inbounds double, ptr %4, i64 %indvars.iv
  %16 = load double, ptr %15, align 8, !tbaa !13
  %17 = fmul double %16, %1
  store double %17, ptr %15, align 8, !tbaa !13
  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
  %exitcond.not = icmp eq i64 %indvars.iv.next, %wide.trip.count
  br i1 %exitcond.not, label %._crit_edge, label %.lr.ph, !llvm.loop !19

._crit_edge:                                      ; preds = %.lr.ph, %middle.block, %2
  ret ptr %0
}

attributes #0 = { nofree norecurse nosync nounwind memory(readwrite, inaccessiblemem: none) 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" }

!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, !10, i64 8}
!6 = !{!"_Matrix", !7, i64 0, !7, i64 4, !10, i64 8}
!7 = !{!"int", !8, i64 0}
!8 = !{!"omnipotent char", !9, i64 0}
!9 = !{!"Simple C/C++ TBAA"}
!10 = !{!"any pointer", !8, i64 0}
!11 = !{!6, !7, i64 0}
!12 = !{!6, !7, i64 4}
!13 = !{!14, !14, i64 0}
!14 = !{!"double", !8, i64 0}
!15 = distinct !{!15, !16, !17, !18}
!16 = !{!"llvm.loop.mustprogress"}
!17 = !{!"llvm.loop.isvectorized", i32 1}
!18 = !{!"llvm.loop.unroll.runtime.disable"}
!19 = distinct !{!19, !16, !18, !17}


; Effective O3 passes: EarlyCSEPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LoopLoadEliminationPass,LoopRotatePass,LoopSimplifyPass,LoopUnrollPass,LoopVectorizePass,PostOrderFunctionAttrsPass,ReassociatePass,SROAPass,SimplifyCFGPass