; LLVM IR from Amoiensis/Optimization-Algorithm :: [Lagrangian_Relaxation]拉格朗日松弛法 (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"

@__const.main._mat_X = external hidden unnamed_addr constant [1 x [3 x double]], align 16
@.str.27 = external hidden unnamed_addr constant [6 x i8], align 1
@.str.28 = external hidden unnamed_addr constant [12 x i8], align 1

; Function Attrs: nounwind uwtable
declare dso_local ptr @Matrix_gen(i32 noundef, i32 noundef, ptr noundef) #0

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

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

; Function Attrs: nounwind uwtable
declare dso_local ptr @M_add_sub(double noundef, ptr noundef, double noundef, ptr noundef) #0

declare i32 @printf(ptr noundef, ...) #2

; Function Attrs: nounwind uwtable
declare dso_local ptr @M_mul(ptr noundef, ptr noundef) #0

; Function Attrs: nounwind uwtable
declare dso_local i32 @M_print(ptr noundef) #0

; Function Attrs: nounwind uwtable
declare dso_local ptr @M_Inverse(ptr noundef) #0

; Function Attrs: nounwind uwtable
declare dso_local i32 @M_free(ptr noundef) #0

; Function Attrs: nounwind uwtable
declare dso_local double @M_norm(ptr noundef, i32 noundef) #0

; Function Attrs: nounwind uwtable
define dso_local i32 @main(i32 noundef %0, ptr noundef %1) #0 {
  %3 = alloca i32, align 4
  %4 = alloca i32, align 4
  %5 = alloca ptr, align 8
  %6 = alloca ptr, align 8
  %7 = alloca [1 x [3 x double]], align 16
  %8 = alloca double, align 8
  %9 = alloca double, align 8
  %10 = alloca double, align 8
  %11 = alloca i32, align 4
  %12 = alloca i32, align 4
  %13 = alloca ptr, align 8
  %14 = alloca double, align 8
  %15 = alloca ptr, align 8
  %16 = alloca ptr, align 8
  %17 = alloca ptr, align 8
  %18 = alloca ptr, align 8
  store i32 0, ptr %3, align 4
  store i32 %0, ptr %4, align 4, !tbaa !5
  store ptr %1, ptr %5, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %6) #4
  store ptr @Function, ptr %6, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 24, ptr %7) #4
  call void @llvm.memcpy.p0.p0.i64(ptr align 16 %7, ptr align 16 @__const.main._mat_X, i64 24, i1 false)
  call void @llvm.lifetime.start.p0(i64 8, ptr %8) #4
  store double 1.000000e-02, ptr %8, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %9) #4
  store double 1.000000e-02, ptr %9, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %10) #4
  store double 1.000000e-02, ptr %10, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 4, ptr %11) #4
  store i32 1, ptr %11, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 4, ptr %12) #4
  store i32 3, ptr %12, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %13) #4
  %19 = load i32, ptr %11, align 4, !tbaa !5
  %20 = load i32, ptr %12, align 4, !tbaa !5
  %21 = getelementptr inbounds [1 x [3 x double]], ptr %7, i64 0, i64 0
  %22 = call ptr @Matrix_gen(i32 noundef %19, i32 noundef %20, ptr noundef %21)
  store ptr %22, ptr %13, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %14) #4
  %23 = load double, ptr %8, align 8, !tbaa !11
  %24 = fmul double 1.000000e+01, %23
  store double %24, ptr %14, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 8, ptr %15) #4
  store ptr null, ptr %15, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %16) #4
  store ptr null, ptr %16, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %17) #4
  store ptr null, ptr %17, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %18) #4
  store ptr null, ptr %18, align 8, !tbaa !9
  br label %25

25:                                               ; preds = %29, %2
  %26 = load double, ptr %14, align 8, !tbaa !11
  %27 = load double, ptr %8, align 8, !tbaa !11
  %28 = fcmp ogt double %26, %27
  br i1 %28, label %29, label %62

29:                                               ; preds = %25
  %30 = load ptr, ptr %13, align 8, !tbaa !9
  %31 = load double, ptr %9, align 8, !tbaa !11
  %32 = call ptr @Func_derivative(ptr noundef %30, double noundef %31)
  store ptr %32, ptr %15, align 8, !tbaa !9
  %33 = load ptr, ptr %13, align 8, !tbaa !9
  %34 = load double, ptr %9, align 8, !tbaa !11
  %35 = load double, ptr %9, align 8, !tbaa !11
  %36 = call ptr @Func_Hessian(ptr noundef %33, double noundef %34, double noundef %35)
  store ptr %36, ptr %18, align 8, !tbaa !9
  %37 = load ptr, ptr %18, align 8, !tbaa !9
  %38 = call ptr @M_Inverse(ptr noundef %37)
  %39 = call i32 @M_print(ptr noundef %38)
  %40 = load ptr, ptr %15, align 8, !tbaa !9
  %41 = load ptr, ptr %18, align 8, !tbaa !9
  %42 = call ptr @M_Inverse(ptr noundef %41)
  %43 = call ptr @M_mul(ptr noundef %40, ptr noundef %42)
  store ptr %43, ptr %17, align 8, !tbaa !9
  %44 = load ptr, ptr %17, align 8, !tbaa !9
  %45 = call i32 @M_print(ptr noundef %44)
  %46 = load ptr, ptr %17, align 8, !tbaa !9
  %47 = call double @M_norm(ptr noundef %46, i32 noundef 2)
  store double %47, ptr %14, align 8, !tbaa !11
  %48 = load ptr, ptr %13, align 8, !tbaa !9
  store ptr %48, ptr %16, align 8, !tbaa !9
  %49 = load ptr, ptr %16, align 8, !tbaa !9
  %50 = load ptr, ptr %17, align 8, !tbaa !9
  %51 = call ptr @M_add_sub(double noundef 1.000000e+00, ptr noundef %49, double noundef -1.000000e+00, ptr noundef %50)
  store ptr %51, ptr %13, align 8, !tbaa !9
  %52 = load ptr, ptr %13, align 8, !tbaa !9
  %53 = call i32 @M_print(ptr noundef %52)
  %54 = load ptr, ptr %17, align 8, !tbaa !9
  %55 = call i32 @M_free(ptr noundef %54)
  %56 = load ptr, ptr %16, align 8, !tbaa !9
  %57 = call i32 @M_free(ptr noundef %56)
  %58 = load ptr, ptr %18, align 8, !tbaa !9
  %59 = call i32 @M_free(ptr noundef %58)
  %60 = load ptr, ptr %15, align 8, !tbaa !9
  %61 = call i32 @M_free(ptr noundef %60)
  br label %25, !llvm.loop !13

62:                                               ; preds = %25
  %63 = call i32 (ptr, ...) @printf(ptr noundef @.str.27)
  %64 = load ptr, ptr %13, align 8, !tbaa !9
  %65 = call i32 @M_print(ptr noundef %64)
  %66 = load ptr, ptr %6, align 8, !tbaa !9
  %67 = load ptr, ptr %13, align 8, !tbaa !9
  %68 = call double %66(ptr noundef %67)
  %69 = call i32 (ptr, ...) @printf(ptr noundef @.str.28, double noundef %68)
  call void @llvm.lifetime.end.p0(i64 8, ptr %18) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %17) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %16) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %15) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %14) #4
  call void @llvm.lifetime.end.p0(i64 8, 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 8, ptr %10) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %9) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %8) #4
  call void @llvm.lifetime.end.p0(i64 24, ptr %7) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %6) #4
  ret i32 0
}

; Function Attrs: nounwind uwtable
declare dso_local double @Function(ptr noundef) #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) #3

; Function Attrs: nounwind uwtable
declare dso_local ptr @Func_derivative(ptr noundef, double noundef) #0

; Function Attrs: nounwind uwtable
declare dso_local ptr @Func_Hessian(ptr noundef, double noundef, double noundef) #0

attributes #0 = { 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 = { nocallback nofree nosync nounwind willreturn memory(argmem: readwrite) }
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 = { 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 = !{!"int", !7, i64 0}
!7 = !{!"omnipotent char", !8, i64 0}
!8 = !{!"Simple C/C++ TBAA"}
!9 = !{!10, !10, i64 0}
!10 = !{!"any pointer", !7, i64 0}
!11 = !{!12, !12, i64 0}
!12 = !{!"double", !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"

@__const.main._mat_X = external hidden unnamed_addr constant [1 x [3 x double]], align 16
@.str.27 = external hidden unnamed_addr constant [6 x i8], align 1
@.str.28 = external hidden unnamed_addr constant [12 x i8], align 1

; Function Attrs: nounwind uwtable
declare dso_local ptr @Matrix_gen(i32 noundef, i32 noundef, ptr noundef) local_unnamed_addr #0

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

; Function Attrs: nounwind uwtable
declare dso_local ptr @M_add_sub(double noundef, ptr noundef, double noundef, ptr noundef) local_unnamed_addr #0

; Function Attrs: nofree nounwind
declare noundef i32 @printf(ptr nocapture noundef readonly, ...) local_unnamed_addr #2

; Function Attrs: nounwind uwtable
declare dso_local ptr @M_mul(ptr noundef, ptr noundef) local_unnamed_addr #0

; Function Attrs: nounwind uwtable
declare dso_local i32 @M_print(ptr noundef) local_unnamed_addr #0

; Function Attrs: nounwind uwtable
declare dso_local ptr @M_Inverse(ptr noundef) local_unnamed_addr #0

; Function Attrs: nounwind uwtable
declare dso_local i32 @M_free(ptr noundef) local_unnamed_addr #0

; Function Attrs: nounwind uwtable
declare dso_local double @M_norm(ptr noundef, i32 noundef) local_unnamed_addr #0

; Function Attrs: nounwind uwtable
define dso_local noundef i32 @main(i32 noundef %0, ptr nocapture noundef readnone %1) local_unnamed_addr #0 {
  %3 = alloca [1 x [3 x double]], align 16
  call void @llvm.lifetime.start.p0(i64 24, ptr nonnull %3) #4
  call void @llvm.memcpy.p0.p0.i64(ptr noundef nonnull align 16 dereferenceable(24) %3, ptr noundef nonnull align 16 dereferenceable(24) @__const.main._mat_X, i64 24, i1 false)
  %4 = call ptr @Matrix_gen(i32 noundef 1, i32 noundef 3, ptr noundef nonnull %3)
  br label %5

5:                                                ; preds = %2, %5
  %.02526 = phi ptr [ %4, %2 ], [ %14, %5 ]
  %6 = call ptr @Func_derivative(ptr noundef %.02526, double noundef 1.000000e-02)
  %7 = call ptr @Func_Hessian(ptr noundef %.02526, double noundef 1.000000e-02, double noundef 1.000000e-02)
  %8 = call ptr @M_Inverse(ptr noundef %7)
  %9 = call i32 @M_print(ptr noundef %8)
  %10 = call ptr @M_Inverse(ptr noundef %7)
  %11 = call ptr @M_mul(ptr noundef %6, ptr noundef %10)
  %12 = call i32 @M_print(ptr noundef %11)
  %13 = call double @M_norm(ptr noundef %11, i32 noundef 2)
  %14 = call ptr @M_add_sub(double noundef 1.000000e+00, ptr noundef %.02526, double noundef -1.000000e+00, ptr noundef %11)
  %15 = call i32 @M_print(ptr noundef %14)
  %16 = call i32 @M_free(ptr noundef %11)
  %17 = call i32 @M_free(ptr noundef %.02526)
  %18 = call i32 @M_free(ptr noundef %7)
  %19 = call i32 @M_free(ptr noundef %6)
  %20 = fcmp ogt double %13, 1.000000e-02
  br i1 %20, label %5, label %21, !llvm.loop !5

21:                                               ; preds = %5
  %22 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.27)
  %23 = call i32 @M_print(ptr noundef %14)
  %24 = call double @Function(ptr noundef %14)
  %25 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.28, double noundef %24)
  call void @llvm.lifetime.end.p0(i64 24, ptr nonnull %3) #4
  ret i32 0
}

; Function Attrs: nounwind uwtable
declare dso_local double @Function(ptr noundef) local_unnamed_addr #0

; 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: nounwind uwtable
declare dso_local ptr @Func_derivative(ptr noundef, double noundef) local_unnamed_addr #0

; Function Attrs: nounwind uwtable
declare dso_local ptr @Func_Hessian(ptr noundef, double noundef, double noundef) local_unnamed_addr #0

attributes #0 = { 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 = { nofree 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 #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 = distinct !{!5, !6}
!6 = !{!"llvm.loop.mustprogress"}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,InferFunctionAttrsPass,InstCombinePass,InstSimplifyPass,LCSSAPass,LoopRotatePass,LoopUnrollPass,PostOrderFunctionAttrsPass,SROAPass