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

```asm
<eigen_symm_2d>:
  endbr64
  push   %rbp
  mov    %rsp,%rbp
  sub    $0x70,%rsp
  mov    %rdi,-0x58(%rbp)
  mov    %rsi,-0x60(%rbp)
  mov    %rdx,-0x68(%rbp)
  mov    -0x68(%rbp),%rax
  mov    (%rax),%rax
  movsd  (%rax),%xmm0
  movsd  %xmm0,-0x48(%rbp)
  mov    -0x68(%rbp),%rax
  mov    (%rax),%rax
  movsd  0x8(%rax),%xmm0
  movsd  %xmm0,-0x40(%rbp)
  mov    -0x68(%rbp),%rax
  add    $0x8,%rax
  mov    (%rax),%rax
  movsd  0x8(%rax),%xmm0
  movsd  %xmm0,-0x38(%rbp)
  movsd  D90(%rip),%xmm0
  movsd  %xmm0,-0x30(%rbp)
  movsd  -0x40(%rbp),%xmm0
  movapd %xmm0,%xmm1
  mulsd  %xmm0,%xmm1
  movsd  -0x48(%rbp),%xmm0
  mulsd  -0x38(%rbp),%xmm0
  movq   D79(%rip),%xmm2
  andpd  %xmm2,%xmm0
  mulsd  -0x30(%rbp),%xmm0
  comisd %xmm1,%xmm0
  jbe    L15
  movsd  -0x48(%rbp),%xmm0
  movq   D79(%rip),%xmm1
  andpd  %xmm0,%xmm1
  movsd  -0x38(%rbp),%xmm0
  movq   D79(%rip),%xmm2
  andpd  %xmm2,%xmm0
  comisd %xmm1,%xmm0
  jbe    L41
  mov    -0x58(%rbp),%rax
  movsd  -0x48(%rbp),%xmm0
  movsd  %xmm0,(%rax)
  mov    -0x58(%rbp),%rax
  add    $0x8,%rax
  movsd  -0x38(%rbp),%xmm0
  movsd  %xmm0,(%rax)
  mov    -0x60(%rbp),%rax
  add    $0x8,%rax
  mov    (%rax),%rax
  add    $0x8,%rax
  movsd  D47(%rip),%xmm0
  movsd  %xmm0,(%rax)
  mov    -0x60(%rbp),%rdx
  mov    (%rdx),%rdx
  movsd  (%rax),%xmm0
  movsd  %xmm0,(%rdx)
  mov    -0x60(%rbp),%rax
  add    $0x8,%rax
  mov    (%rax),%rax
  pxor   %xmm0,%xmm0
  movsd  %xmm0,(%rax)
  mov    -0x60(%rbp),%rdx
  mov    (%rdx),%rdx
  add    $0x8,%rdx
  movsd  (%rax),%xmm0
  movsd  %xmm0,(%rdx)
  jmp    L54
L41:
  mov    -0x58(%rbp),%rax
  movsd  -0x38(%rbp),%xmm0
  movsd  %xmm0,(%rax)
  mov    -0x58(%rbp),%rax
  add    $0x8,%rax
  movsd  -0x48(%rbp),%xmm0
  movsd  %xmm0,(%rax)
  mov    -0x60(%rbp),%rax
  add    $0x8,%rax
  mov    (%rax),%rax
  add    $0x8,%rax
  pxor   %xmm0,%xmm0
  movsd  %xmm0,(%rax)
  mov    -0x60(%rbp),%rdx
  mov    (%rdx),%rdx
  movsd  (%rax),%xmm0
  movsd  %xmm0,(%rdx)
  mov    -0x60(%rbp),%rax
  add    $0x8,%rax
  mov    (%rax),%rax
  movsd  D47(%rip),%xmm0
  movsd  %xmm0,(%rax)
  mov    -0x60(%rbp),%rdx
  mov    (%rdx),%rdx
  add    $0x8,%rdx
  movsd  (%rax),%xmm0
  movsd  %xmm0,(%rdx)
  jmp    L54
L15:
  movsd  -0x48(%rbp),%xmm0
  movapd %xmm0,%xmm1
  addsd  -0x38(%rbp),%xmm1
  movsd  -0x48(%rbp),%xmm0
  addsd  -0x38(%rbp),%xmm0
  movapd %xmm1,%xmm2
  mulsd  %xmm0,%xmm2
  movsd  -0x40(%rbp),%xmm0
  mulsd  %xmm0,%xmm0
  movsd  -0x48(%rbp),%xmm1
  movapd %xmm1,%xmm3
  mulsd  -0x38(%rbp),%xmm3
  movapd %xmm0,%xmm1
  subsd  %xmm3,%xmm1
  movsd  D8(%rip),%xmm0
  mulsd  %xmm1,%xmm0
  addsd  %xmm0,%xmm2
  movq   %xmm2,%rax
  movq   %rax,%xmm0
  call   <sqrt@plt>
  movq   %xmm0,%rax
  mov    %rax,-0x28(%rbp)
  movsd  -0x48(%rbp),%xmm0
  addsd  -0x38(%rbp),%xmm0
  addsd  -0x28(%rbp),%xmm0
  movsd  D98(%rip),%xmm1
  divsd  %xmm1,%xmm0
  movsd  %xmm0,-0x20(%rbp)
  movsd  -0x48(%rbp),%xmm0
  addsd  -0x38(%rbp),%xmm0
  subsd  -0x28(%rbp),%xmm0
  movsd  D98(%rip),%xmm1
  divsd  %xmm1,%xmm0
  movsd  %xmm0,-0x18(%rbp)
  movsd  -0x20(%rbp),%xmm0
  movq   D79(%rip),%xmm1
  andpd  %xmm0,%xmm1
  movsd  -0x18(%rbp),%xmm0
  movq   D79(%rip),%xmm2
  andpd  %xmm2,%xmm0
  comisd %xmm1,%xmm0
  jbe    L20
  mov    -0x58(%rbp),%rax
  movsd  -0x20(%rbp),%xmm0
  movsd  %xmm0,(%rax)
  mov    -0x58(%rbp),%rax
  add    $0x8,%rax
  movsd  -0x18(%rbp),%xmm0
  movsd  %xmm0,(%rax)
  jmp    L28
L20:
  mov    -0x58(%rbp),%rax
  add    $0x8,%rax
  movsd  -0x20(%rbp),%xmm0
  movsd  %xmm0,(%rax)
  mov    -0x58(%rbp),%rax
  movsd  -0x18(%rbp),%xmm0
  movsd  %xmm0,(%rax)
L28:
  mov    -0x58(%rbp),%rax
  movsd  (%rax),%xmm0
  subsd  -0x48(%rbp),%xmm0
  mov    -0x40(%rbp),%rax
  movapd %xmm0,%xmm1
  movq   %rax,%xmm0
  call   <hypot@plt>
  movq   %xmm0,%rax
  mov    %rax,-0x10(%rbp)
  mov    -0x58(%rbp),%rax
  add    $0x8,%rax
  movsd  (%rax),%xmm0
  subsd  -0x48(%rbp),%xmm0
  mov    -0x40(%rbp),%rax
  movapd %xmm0,%xmm1
  movq   %rax,%xmm0
  call   <hypot@plt>
  movq   %xmm0,%rax
  mov    %rax,-0x8(%rbp)
  mov    -0x60(%rbp),%rax
  mov    (%rax),%rax
  movsd  -0x40(%rbp),%xmm0
  divsd  -0x10(%rbp),%xmm0
  movsd  %xmm0,(%rax)
  mov    -0x58(%rbp),%rax
  movsd  (%rax),%xmm0
  subsd  -0x48(%rbp),%xmm0
  mov    -0x60(%rbp),%rax
  mov    (%rax),%rax
  add    $0x8,%rax
  divsd  -0x10(%rbp),%xmm0
  movsd  %xmm0,(%rax)
  mov    -0x60(%rbp),%rax
  add    $0x8,%rax
  mov    (%rax),%rax
  movsd  -0x40(%rbp),%xmm0
  divsd  -0x8(%rbp),%xmm0
  movsd  %xmm0,(%rax)
  mov    -0x58(%rbp),%rax
  add    $0x8,%rax
  movsd  (%rax),%xmm0
  subsd  -0x48(%rbp),%xmm0
  mov    -0x60(%rbp),%rax
  add    $0x8,%rax
  mov    (%rax),%rax
  add    $0x8,%rax
  divsd  -0x8(%rbp),%xmm0
  movsd  %xmm0,(%rax)
L54:
  leave
  ret
```

tool_calls: name: extract_symbolic_data
arguments: data_label: D90
datatype: byte[8]
name: extract_symbolic_data
arguments: data_label: D79
datatype: qword
name: extract_symbolic_data
arguments: data_label: D47
datatype: f64
name: extract_symbolic_data
arguments: data_label: D8
datatype: f64
name: extract_symbolic_data
arguments: data_label: D98
datatype: f64

tool: {"D90": [0xbc,0x89,0xd8,0x97,0xb2,0xd2,0x9c,0x3c]}

tool: D79: 9223372036854775807

tool: D47: 1

tool: D8: 4

tool: D98: 2

assistant: ```c
void eigen_symm_2d(double z[], double **V, double **X) {
  double a = X[0][0];
  double b = X[0][1];
  double c = X[1][1];
  const double epsilon = 1e-16;
  if (b * b < epsilon * fabs(a * c)) {
    if (fabs(a) < fabs(c)) {
      z[0] = a;
      z[1] = c;
      V[0][0] = V[1][1] = 1.0;
      V[0][1] = V[1][0] = 0.0;
    } else {
      z[0] = c;
      z[1] = a;
      V[0][0] = V[1][1] = 0.0;
      V[0][1] = V[1][0] = 1.0;
    }
    return;
  }
  double s = sqrt((a + c) * (a + c) + 4. * (b * b - a * c));
  double z1 = (a + c + s) / 2.;
  double z2 = (a + c - s) / 2.;
  if (fabs(z1) < fabs(z2)) {
    z[0] = z1;
    z[1] = z2;
  } else {
    z[1] = z1;
    z[0] = z2;
  }
  double d0 = hypot(b, z[0] - a);
  double d1 = hypot(b, z[1] - a);
  V[0][0] = b / d0;
  V[0][1] = (z[0] - a) / d0;
  V[1][0] = b / d1;
  V[1][1] = (z[1] - a) / d1;
}
```