; LLVM IR from Amoiensis/Optimization-Algorithm :: [Unconstrained_Optimization]无约束优化/[Conjugate_Gradient_Method]共轭梯度法 (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"

@.str.16 = external hidden unnamed_addr constant [6 x i8], align 1
@__const.main._mat_X = external hidden unnamed_addr constant [1 x [3 x double]], align 16
@.str.25 = external hidden unnamed_addr constant [6 x i8], align 1
@.str.26 = 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 i32 @M_print(ptr noundef) #0

declare i32 @system(ptr noundef) #2

; 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 i32, align 4
  %19 = alloca double, align 8
  %20 = alloca i32, align 4
  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
  %21 = load i32, ptr %11, align 4, !tbaa !5
  %22 = load i32, ptr %12, align 4, !tbaa !5
  %23 = getelementptr inbounds [1 x [3 x double]], ptr %7, i64 0, i64 0
  %24 = call ptr @Matrix_gen(i32 noundef %21, i32 noundef %22, ptr noundef %23)
  store ptr %24, ptr %13, align 8, !tbaa !9
  call void @llvm.lifetime.start.p0(i64 8, ptr %14) #4
  %25 = load double, ptr %8, align 8, !tbaa !11
  %26 = fmul double 1.000000e+01, %25
  store double %26, 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 4, ptr %18) #4
  store i32 0, ptr %18, align 4, !tbaa !5
  call void @llvm.lifetime.start.p0(i64 8, ptr %19) #4
  store double 0.000000e+00, ptr %19, align 8, !tbaa !11
  call void @llvm.lifetime.start.p0(i64 4, ptr %20) #4
  store i32 0, ptr %20, align 4, !tbaa !5
  br label %27

27:                                               ; preds = %73, %2
  %28 = load i32, ptr %20, align 4, !tbaa !5
  %29 = load i32, ptr %12, align 4, !tbaa !5
  %30 = add nsw i32 %29, 1
  %31 = icmp slt i32 %28, %30
  br i1 %31, label %32, label %76

32:                                               ; preds = %27
  %33 = load ptr, ptr %16, align 8, !tbaa !9
  store ptr %33, ptr %15, align 8, !tbaa !9
  %34 = load i32, ptr %18, align 4, !tbaa !5
  %35 = icmp eq i32 %34, 0
  br i1 %35, label %36, label %40

36:                                               ; preds = %32
  %37 = load ptr, ptr %13, align 8, !tbaa !9
  %38 = load double, ptr %9, align 8, !tbaa !11
  %39 = call ptr @Func_derivative(ptr noundef %37, double noundef %38)
  store ptr %39, ptr %16, align 8, !tbaa !9
  br label %56

40:                                               ; preds = %32
  %41 = load ptr, ptr %13, align 8, !tbaa !9
  %42 = load double, ptr %9, align 8, !tbaa !11
  %43 = call ptr @Func_derivative(ptr noundef %41, double noundef %42)
  store ptr %43, ptr %16, align 8, !tbaa !9
  %44 = load ptr, ptr %16, align 8, !tbaa !9
  %45 = call double @M_norm(ptr noundef %44, i32 noundef 2)
  %46 = load ptr, ptr %15, align 8, !tbaa !9
  %47 = call double @M_norm(ptr noundef %46, i32 noundef 2)
  %48 = fdiv double %45, %47
  store double %48, ptr %19, align 8, !tbaa !11
  %49 = load ptr, ptr %16, align 8, !tbaa !9
  store ptr %49, ptr %17, align 8, !tbaa !9
  %50 = load ptr, ptr %17, align 8, !tbaa !9
  %51 = load double, ptr %19, align 8, !tbaa !11
  %52 = load ptr, ptr %15, align 8, !tbaa !9
  %53 = call ptr @M_add_sub(double noundef -1.000000e+00, ptr noundef %50, double noundef %51, ptr noundef %52)
  store ptr %53, ptr %16, align 8, !tbaa !9
  %54 = load ptr, ptr %17, align 8, !tbaa !9
  %55 = call i32 @M_free(ptr noundef %54)
  br label %56

56:                                               ; preds = %40, %36
  %57 = load ptr, ptr %13, align 8, !tbaa !9
  %58 = load ptr, ptr %16, align 8, !tbaa !9
  %59 = call double @Bisection_Method(ptr noundef %57, ptr noundef %58)
  store double %59, ptr %10, align 8, !tbaa !11
  %60 = load ptr, ptr %13, align 8, !tbaa !9
  store ptr %60, ptr %17, align 8, !tbaa !9
  %61 = load ptr, ptr %17, align 8, !tbaa !9
  %62 = load double, ptr %10, align 8, !tbaa !11
  %63 = load ptr, ptr %16, align 8, !tbaa !9
  %64 = call ptr @M_add_sub(double noundef 1.000000e+00, ptr noundef %61, double noundef %62, ptr noundef %63)
  store ptr %64, ptr %13, align 8, !tbaa !9
  %65 = load ptr, ptr %16, align 8, !tbaa !9
  %66 = call double @M_norm(ptr noundef %65, i32 noundef 2)
  store double %66, ptr %14, align 8, !tbaa !11
  %67 = load ptr, ptr %17, align 8, !tbaa !9
  %68 = call i32 @M_free(ptr noundef %67)
  %69 = load ptr, ptr %16, align 8, !tbaa !9
  %70 = call i32 @M_free(ptr noundef %69)
  %71 = load i32, ptr %18, align 4, !tbaa !5
  %72 = add nsw i32 %71, 1
  store i32 %72, ptr %18, align 4, !tbaa !5
  br label %73

73:                                               ; preds = %56
  %74 = load i32, ptr %20, align 4, !tbaa !5
  %75 = add nsw i32 %74, 1
  store i32 %75, ptr %20, align 4, !tbaa !5
  br label %27, !llvm.loop !13

76:                                               ; preds = %27
  %77 = call i32 (ptr, ...) @printf(ptr noundef @.str.25)
  %78 = load ptr, ptr %13, align 8, !tbaa !9
  %79 = call i32 @M_print(ptr noundef %78)
  %80 = load ptr, ptr %6, align 8, !tbaa !9
  %81 = load ptr, ptr %13, align 8, !tbaa !9
  %82 = call double %80(ptr noundef %81)
  %83 = call i32 (ptr, ...) @printf(ptr noundef @.str.26, double noundef %82)
  %84 = call i32 @system(ptr noundef @.str.16)
  call void @llvm.lifetime.end.p0(i64 4, ptr %20) #4
  call void @llvm.lifetime.end.p0(i64 8, ptr %19) #4
  call void @llvm.lifetime.end.p0(i64 4, 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 double @Bisection_Method(ptr noundef, ptr 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"

@.str.16 = external hidden unnamed_addr constant [6 x i8], align 1
@__const.main._mat_X = external hidden unnamed_addr constant [1 x [3 x double]], align 16
@.str.25 = external hidden unnamed_addr constant [6 x i8], align 1
@.str.26 = 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 i32 @M_print(ptr noundef) local_unnamed_addr #0

; Function Attrs: nofree
declare noundef i32 @system(ptr nocapture noundef readonly) local_unnamed_addr #3

; 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) #5
  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)
  %5 = call ptr @Func_derivative(ptr noundef %4, double noundef 1.000000e-02)
  %6 = call double @Bisection_Method(ptr noundef %4, ptr noundef %5)
  %7 = call ptr @M_add_sub(double noundef 1.000000e+00, ptr noundef %4, double noundef %6, ptr noundef %5)
  %8 = call double @M_norm(ptr noundef %5, i32 noundef 2)
  %9 = call i32 @M_free(ptr noundef %4)
  %10 = call i32 @M_free(ptr noundef %5)
  %11 = call ptr @Func_derivative(ptr noundef %7, double noundef 1.000000e-02)
  %12 = call double @M_norm(ptr noundef %11, i32 noundef 2)
  %13 = call double @M_norm(ptr noundef %5, i32 noundef 2)
  %14 = fdiv double %12, %13
  %15 = call ptr @M_add_sub(double noundef -1.000000e+00, ptr noundef %11, double noundef %14, ptr noundef %5)
  %16 = call i32 @M_free(ptr noundef %11)
  %17 = call double @Bisection_Method(ptr noundef %7, ptr noundef %15)
  %18 = call ptr @M_add_sub(double noundef 1.000000e+00, ptr noundef %7, double noundef %17, ptr noundef %15)
  %19 = call double @M_norm(ptr noundef %15, i32 noundef 2)
  %20 = call i32 @M_free(ptr noundef %7)
  %21 = call i32 @M_free(ptr noundef %15)
  %22 = call ptr @Func_derivative(ptr noundef %18, double noundef 1.000000e-02)
  %23 = call double @M_norm(ptr noundef %22, i32 noundef 2)
  %24 = call double @M_norm(ptr noundef %15, i32 noundef 2)
  %25 = fdiv double %23, %24
  %26 = call ptr @M_add_sub(double noundef -1.000000e+00, ptr noundef %22, double noundef %25, ptr noundef %15)
  %27 = call i32 @M_free(ptr noundef %22)
  %28 = call double @Bisection_Method(ptr noundef %18, ptr noundef %26)
  %29 = call ptr @M_add_sub(double noundef 1.000000e+00, ptr noundef %18, double noundef %28, ptr noundef %26)
  %30 = call double @M_norm(ptr noundef %26, i32 noundef 2)
  %31 = call i32 @M_free(ptr noundef %18)
  %32 = call i32 @M_free(ptr noundef %26)
  %33 = call ptr @Func_derivative(ptr noundef %29, double noundef 1.000000e-02)
  %34 = call double @M_norm(ptr noundef %33, i32 noundef 2)
  %35 = call double @M_norm(ptr noundef %26, i32 noundef 2)
  %36 = fdiv double %34, %35
  %37 = call ptr @M_add_sub(double noundef -1.000000e+00, ptr noundef %33, double noundef %36, ptr noundef %26)
  %38 = call i32 @M_free(ptr noundef %33)
  %39 = call double @Bisection_Method(ptr noundef %29, ptr noundef %37)
  %40 = call ptr @M_add_sub(double noundef 1.000000e+00, ptr noundef %29, double noundef %39, ptr noundef %37)
  %41 = call double @M_norm(ptr noundef %37, i32 noundef 2)
  %42 = call i32 @M_free(ptr noundef %29)
  %43 = call i32 @M_free(ptr noundef %37)
  %44 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.25)
  %45 = call i32 @M_print(ptr noundef %40)
  %46 = call double @Function(ptr noundef %40)
  %47 = call i32 (ptr, ...) @printf(ptr noundef nonnull dereferenceable(1) @.str.26, double noundef %46)
  %48 = call i32 @system(ptr noundef nonnull @.str.16) #5
  call void @llvm.lifetime.end.p0(i64 24, ptr nonnull %3) #5
  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) #4

; 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 double @Bisection_Method(ptr noundef, ptr 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 = { nofree "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 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)"}


; Effective O3 passes: EarlyCSEPass,GVNPass,GlobalOptPass,IndVarSimplifyPass,InferFunctionAttrsPass,InstCombinePass,JumpThreadingPass,LCSSAPass,LoopRotatePass,PostOrderFunctionAttrsPass,SCCPPass,SROAPass,SimplifyCFGPass