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

```asm
<rho_j_k>:
  endbr64
  push   %r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0xa8,%rsp
  mov    %rdi,0x80(%rsp)
  mov    %rsi,0x88(%rsp)
  mov    %edx,0x6c(%rsp)
  mov    %rcx,%r13
  mov    %r8d,%ebx
  mov    %r9,%rbp
  pxor   %xmm0,%xmm0
  cvtsi2sd %edx,%xmm0
  pxor   %xmm1,%xmm1
  ucomisd %xmm0,%xmm1
  ja     L5
  sqrtsd %xmm0,%xmm0
L22:
  movsd  D7(%rip),%xmm1
  divsd  %xmm0,%xmm1
  movsd  %xmm1,0x70(%rsp)
  test   %ebx,%ebx
  jle    L70
  mov    %rbp,%r14
  mov    0xe0(%rsp),%r12
  mov    %r13,0x60(%rsp)
  lea    -0x1(%rbx),%eax
  shl    $0x4,%rax
  lea    0x10(%rbp,%rax,1),%rax
  mov    %rax,0x78(%rsp)
  mov    0x6c(%rsp),%eax
  lea    -0x1(%rax),%eax
  lea    (%rax,%rax,2),%rax
  mov    0x80(%rsp),%rcx
  lea    0x18(%rcx,%rax,8),%r13
  lea    0x98(%rsp),%r15
  jmp    L4
L5:
  call   <sqrt@plt>
  jmp    L22
L46:
  mov    0x60(%rsp),%rax
  movsd  (%rax),%xmm2
  movsd  %xmm2,0x48(%rsp)
  movsd  0x8(%rax),%xmm4
  movsd  %xmm4,0x50(%rsp)
  movsd  0x10(%rax),%xmm5
  movsd  %xmm5,0x58(%rsp)
  mov    0x88(%rsp),%rbp
  mov    0x80(%rsp),%rbx
  pxor   %xmm7,%xmm7
  movsd  %xmm7,0x40(%rsp)
  movsd  %xmm7,0x38(%rsp)
  movsd  %xmm7,0x30(%rsp)
  movsd  %xmm7,0x28(%rsp)
  movsd  %xmm7,0x20(%rsp)
  movsd  %xmm7,0x18(%rsp)
  movsd  %xmm7,0x10(%rsp)
  movsd  %xmm7,0x8(%rsp)
L9:
  lea    0x90(%rsp),%rsi
  movsd  0x48(%rsp),%xmm0
  mulsd  (%rbx),%xmm0
  movsd  0x50(%rsp),%xmm1
  mulsd  0x8(%rbx),%xmm1
  addsd  %xmm1,%xmm0
  movsd  0x58(%rsp),%xmm1
  mulsd  0x10(%rbx),%xmm1
  addsd  %xmm1,%xmm0
  mov    %r15,%rdi
  call   <sincos@plt>
  movsd  0x90(%rsp),%xmm0
  movsd  0x98(%rsp),%xmm2
  movsd  0x8(%rsp),%xmm4
  addsd  %xmm0,%xmm4
  movsd  %xmm4,0x8(%rsp)
  movsd  0x10(%rsp),%xmm5
  addsd  %xmm2,%xmm5
  movsd  %xmm5,0x10(%rsp)
  movsd  0x0(%rbp),%xmm1
  movapd %xmm1,%xmm3
  mulsd  %xmm0,%xmm3
  addsd  0x18(%rsp),%xmm3
  movsd  %xmm3,0x18(%rsp)
  mulsd  %xmm2,%xmm1
  addsd  0x20(%rsp),%xmm1
  movsd  %xmm1,0x20(%rsp)
  movsd  0x8(%rbp),%xmm1
  movapd %xmm1,%xmm3
  mulsd  %xmm0,%xmm3
  addsd  0x28(%rsp),%xmm3
  movsd  %xmm3,0x28(%rsp)
  mulsd  %xmm2,%xmm1
  addsd  0x30(%rsp),%xmm1
  movsd  %xmm1,0x30(%rsp)
  movsd  0x10(%rbp),%xmm1
  mulsd  %xmm1,%xmm0
  addsd  0x38(%rsp),%xmm0
  movsd  %xmm0,0x38(%rsp)
  mulsd  %xmm2,%xmm1
  addsd  0x40(%rsp),%xmm1
  movsd  %xmm1,0x40(%rsp)
  add    $0x18,%rbx
  add    $0x18,%rbp
  cmp    %r13,%rbx
  jne    L9
L64:
  movsd  0x8(%rsp),%xmm0
  movsd  0x70(%rsp),%xmm6
  mulsd  %xmm6,%xmm0
  movsd  %xmm0,(%r14)
  movsd  0x10(%rsp),%xmm0
  mulsd  %xmm6,%xmm0
  movsd  %xmm0,0x8(%r14)
  movsd  0x18(%rsp),%xmm0
  mulsd  %xmm6,%xmm0
  movsd  %xmm0,(%r12)
  movsd  0x20(%rsp),%xmm0
  mulsd  %xmm6,%xmm0
  movsd  %xmm0,0x8(%r12)
  movsd  0x28(%rsp),%xmm0
  mulsd  %xmm6,%xmm0
  movsd  %xmm0,0x10(%r12)
  movsd  0x30(%rsp),%xmm0
  mulsd  %xmm6,%xmm0
  movsd  %xmm0,0x18(%r12)
  movsd  0x38(%rsp),%xmm0
  mulsd  %xmm6,%xmm0
  movsd  %xmm0,0x20(%r12)
  movsd  0x40(%rsp),%xmm0
  mulsd  %xmm6,%xmm0
  movsd  %xmm0,0x28(%r12)
  add    $0x10,%r14
  add    $0x30,%r12
  addq   $0x18,0x60(%rsp)
  cmp    0x78(%rsp),%r14
  je     L70
L4:
  cmpl   $0x0,0x6c(%rsp)
  jg     L46
  pxor   %xmm2,%xmm2
  movsd  %xmm2,0x40(%rsp)
  movsd  %xmm2,0x38(%rsp)
  movsd  %xmm2,0x30(%rsp)
  movsd  %xmm2,0x28(%rsp)
  movsd  %xmm2,0x20(%rsp)
  movsd  %xmm2,0x18(%rsp)
  movsd  %xmm2,0x10(%rsp)
  movsd  %xmm2,0x8(%rsp)
  jmp    L64
L70:
  add    $0xa8,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
```

tool_calls: name: extract_symbolic_data
arguments: tag: D7
data_type: f64

tool: D7: 1

assistant: ```c
void rho_j_k(const double x_vec[][3], const double v_vec[][3], int N_x, const double k_vec[][3], int N_k, double (*restrict rho_k)[2], double (*restrict j_k)[6]) {
  int x_i, k_i;
  double rho_ki_0, rho_ki_1;
  double j_ki_0, j_ki_1, j_ki_2, j_ki_3, j_ki_4, j_ki_5;
  double factor = (1.0 / sqrt((double)N_x));
  register double alpha, ca, sa;
#pragma omp parallel for shared(rho_k, j_k, x_vec, v_vec, k_vec, factor) private(k_i, x_i, alpha, ca, sa, rho_ki_0, rho_ki_1, j_ki_0, j_ki_1, j_ki_2, j_ki_3, j_ki_4, j_ki_5)
  for (k_i = 0; k_i < N_k; k_i++) {
    rho_ki_0 = 0.0;
    rho_ki_1 = 0.0;
    j_ki_0 = 0.0;
    j_ki_1 = 0.0;
    j_ki_2 = 0.0;
    j_ki_3 = 0.0;
    j_ki_4 = 0.0;
    j_ki_5 = 0.0;
    for (x_i = 0; x_i < N_x; x_i++) {
      alpha = x_vec[x_i][0] * k_vec[k_i][0] + x_vec[x_i][1] * k_vec[k_i][1] + x_vec[x_i][2] * k_vec[k_i][2];
      ca = cos(alpha);
      sa = sin(alpha);
      rho_ki_0 += ca;
      rho_ki_1 += sa;
      j_ki_0 += ca * v_vec[x_i][0];
      j_ki_1 += sa * v_vec[x_i][0];
      j_ki_2 += ca * v_vec[x_i][1];
      j_ki_3 += sa * v_vec[x_i][1];
      j_ki_4 += ca * v_vec[x_i][2];
      j_ki_5 += sa * v_vec[x_i][2];
    }
    rho_k[k_i][0] = factor * rho_ki_0;
    rho_k[k_i][1] = factor * rho_ki_1;
    j_k[k_i][0] = factor * j_ki_0;
    j_k[k_i][1] = factor * j_ki_1;
    j_k[k_i][2] = factor * j_ki_2;
    j_k[k_i][3] = factor * j_ki_3;
    j_k[k_i][4] = factor * j_ki_4;
    j_k[k_i][5] = factor * j_ki_5;
  }
}
```