user: Demonstrate the C code that generates the assembly output below:

```asm
<test_dobldobl_multiplicity_structure>:
  endbr64
  push   %rbp
  mov    %rsp,%rbp
  push   %r14
  push   %r13
  push   %r12
  push   %rbx
  sub    $0x20,%rsp
  mov    %edi,%r12d
  mov    %fs:0x28,%rax
  mov    %rax,-0x28(%rbp)
  xor    %eax,%eax
  lea    0x1(%rdi),%eax
  cltq
  lea    0xf(,%rax,4),%rax
  mov    %rax,%rcx
  and    $0xfffffffffffffff0,%rcx
  and    $0xfffffffffffff000,%rax
  mov    %rsp,%rdx
  sub    %rax,%rdx
L35:
  cmp    %rdx,%rsp
  je     L18
  sub    $0x1000,%rsp
  orq    $0x0,0xff8(%rsp)
  jmp    L35
L18:
  mov    %rcx,%rax
  and    $0xfff,%eax
  sub    %rax,%rsp
  test   %rax,%rax
  je     L50
  orq    $0x0,-0x8(%rsp,%rax,1)
L50:
  mov    %rsp,%r14
  lea    D40(%rip),%rdi
  call   <puts@plt>
  mov    $0x0,%eax
  call   <syscon_read_dobldobl_system@plt>
  lea    -0x34(%rbp),%rbx
  mov    %rbx,%rdi
  call   <syscon_number_of_dobldobl_polynomials@plt>
  mov    -0x34(%rbp),%esi
  lea    D64(%rip),%rdi
  mov    $0x0,%eax
  call   <printf@plt>
  mov    $0x0,%eax
  call   <solcon_read_dobldobl_solutions@plt>
  lea    -0x30(%rbp),%rdi
  call   <solcon_number_of_dobldobl_solutions@plt>
  mov    -0x30(%rbp),%esi
  lea    D34(%rip),%rdi
  mov    $0x0,%eax
  call   <printf@plt>
  mov    %rbx,%rdi
  call   <solcon_dimension_of_dobldobl_solutions@plt>
  mov    -0x34(%rbp),%esi
  lea    D45(%rip),%rdi
  mov    $0x0,%eax
  call   <printf@plt>
  lea    -0x2c(%rbp),%rdx
  mov    %r14,%rcx
  movsd  D69(%rip),%xmm0
  mov    $0x1,%esi
  mov    %r12d,%edi
  call   <dobldobl_multiplicity_structure@plt>
  mov    -0x2c(%rbp),%esi
  lea    D16(%rip),%rdi
  mov    $0x0,%eax
  call   <printf@plt>
  lea    D7(%rip),%rdi
  mov    $0x0,%eax
  call   <printf@plt>
  test   %r12d,%r12d
  js     L55
  mov    $0x0,%ebx
  lea    D1(%rip),%r13
L38:
  mov    (%r14,%rbx,4),%esi
  mov    %r13,%rdi
  mov    $0x0,%eax
  call   <printf@plt>
  add    $0x1,%rbx
  cmp    %ebx,%r12d
  jge    L38
L55:
  mov    $0xa,%edi
  call   <putchar@plt>
  mov    -0x28(%rbp),%rax
  sub    %fs:0x28,%rax
  jne    L46
  lea    -0x20(%rbp),%rsp
  pop    %rbx
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %rbp
  ret
L46:
  call   <__stack_chk_fail@plt>
```

tool_calls: name: read_data
arguments: data_label: D40
type_infered: string
name: read_data
arguments: data_label: D64
type_infered: string
name: read_data
arguments: data_label: D34
type_infered: string
name: read_data
arguments: data_label: D45
type_infered: string
name: read_data
arguments: data_label: D69
type_infered: byte[8]
name: read_data
arguments: data_label: D16
type_infered: string
name: read_data
arguments: data_label: D7
type_infered: string
name: read_data
arguments: data_label: D1
type_infered: string

tool: D40: 
Testing with dobldobl arithmetic ...

tool: D64: The system container has %d polynomials.


tool: D34: The solution container has size %d.


tool: D45: The solutions in the container have dimension %d.


tool: {"D69": [0x3a,0x8c,0x30,0xe2,0x8e,0x79,0x45,0x3e]}

tool: D16: The multiplicity : %d.


tool: D7: Values of the Hilbert function :

tool: D1:  %d

assistant: ```c
void test_dobldobl_multiplicity_structure(int order) {
  const double tol = 1.0e-8;
  int fail, dim, len, mult;
  int hilb[order + 1];
  printf("\nTesting with dobldobl arithmetic ...\n");
  fail = syscon_read_dobldobl_system();
  fail = syscon_number_of_dobldobl_polynomials(&dim);
  printf("The system container has %d polynomials.\n", dim);
  fail = solcon_read_dobldobl_solutions();
  fail = solcon_number_of_dobldobl_solutions(&len);
  printf("The solution container has size %d.\n", len);
  fail = solcon_dimension_of_dobldobl_solutions(&dim);
  printf("The solutions in the container have dimension %d.\n", dim);
  fail = dobldobl_multiplicity_structure(order, 1, tol, &mult, hilb);
  printf("The multiplicity : %d.\n", mult);
  printf("Values of the Hilbert function :");
  int k;
  for (k = 0; k < order + 1; k++)
    printf(" %d", hilb[k]);
  printf("\n");
}
```