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

```asm
<gauleg>:
  endbr64
  push   %r15
  movapd %xmm1,%xmm3
  subsd  %xmm0,%xmm1
  lea    0x1(%rdx),%eax
  push   %r14
  addsd  %xmm0,%xmm3
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  mov    %eax,%ebx
  shr    $0x1f,%ebx
  add    %eax,%ebx
  sub    $0x38,%rsp
  movsd  D39(%rip),%xmm2
  sar    %ebx
  mulsd  %xmm2,%xmm3
  mulsd  %xmm2,%xmm1
  movsd  %xmm3,0x18(%rsp)
  movsd  %xmm1,0x10(%rsp)
  cmp    $0x1,%eax
  jle    L72
  pxor   %xmm4,%xmm4
  movapd %xmm1,%xmm5
  cltq
  mov    %rdi,%r13
  cvtsi2sd %edx,%xmm4
  addsd  %xmm1,%xmm5
  mov    %rsi,%r14
  mov    %edx,%ebp
  lea    0x0(,%rax,8),%r15
  mov    $0x1,%r12d
  movsd  %xmm5,0x28(%rsp)
  addsd  %xmm4,%xmm2
  movsd  %xmm2,0x20(%rsp)
  nopw   0x0(%rax,%rax,1)
L27:
  pxor   %xmm0,%xmm0
  movsd  %xmm4,0x8(%rsp)
  cvtsi2sd %r12d,%xmm0
  subsd  D15(%rip),%xmm0
  mulsd  D36(%rip),%xmm0
  divsd  0x20(%rsp),%xmm0
  call   <cos@plt>
  pxor   %xmm7,%xmm7
  mov    D24(%rip),%rax
  movsd  0x8(%rsp),%xmm4
  movq   D52(%rip),%xmm6
  movapd %xmm0,%xmm8
  movq   %rax,%xmm3
  mov    D46(%rip),%rax
  movq   %rax,%xmm5
  test   %ebp,%ebp
  jle    L20
  nopl   0x0(%rax)
L48:
  movapd %xmm3,%xmm9
  movapd %xmm7,%xmm10
  mov    $0x1,%eax
  jmp    L70
  nopl   0x0(%rax)
L29:
  movapd %xmm0,%xmm9
L70:
  pxor   %xmm1,%xmm1
  mov    %eax,%edx
  cvtsi2sd %eax,%xmm1
  add    $0x1,%eax
  movapd %xmm1,%xmm0
  movapd %xmm1,%xmm2
  addsd  %xmm1,%xmm0
  subsd  %xmm3,%xmm2
  subsd  %xmm3,%xmm0
  mulsd  %xmm10,%xmm2
  movapd %xmm9,%xmm10
  mulsd  %xmm8,%xmm0
  mulsd  %xmm9,%xmm0
  subsd  %xmm2,%xmm0
  divsd  %xmm1,%xmm0
  cmp    %edx,%ebp
  jne    L29
  movapd %xmm8,%xmm1
  mulsd  %xmm0,%xmm1
  subsd  %xmm9,%xmm1
L46:
  mulsd  %xmm4,%xmm1
  movapd %xmm8,%xmm2
  mulsd  %xmm8,%xmm2
  subsd  %xmm3,%xmm2
  divsd  %xmm2,%xmm1
  movapd %xmm8,%xmm2
  divsd  %xmm1,%xmm0
  subsd  %xmm0,%xmm2
  movapd %xmm2,%xmm0
  subsd  %xmm8,%xmm0
  andpd  %xmm6,%xmm0
  comisd %xmm5,%xmm0
  jbe    L68
  movapd %xmm2,%xmm8
  test   %ebp,%ebp
  jg     L48
L20:
  movapd %xmm8,%xmm1
  movapd %xmm3,%xmm0
  jmp    L46
  nopw   0x0(%rax,%rax,1)
L68:
  movsd  0x10(%rsp),%xmm0
  movsd  0x18(%rsp),%xmm11
  mulsd  %xmm2,%xmm0
  movapd %xmm11,%xmm8
  mulsd  %xmm2,%xmm2
  subsd  %xmm0,%xmm8
  addsd  %xmm11,%xmm0
  movsd  %xmm8,0x0(%r13,%r12,8)
  movsd  %xmm0,-0x8(%r13,%r15,1)
  movapd %xmm3,%xmm0
  subsd  %xmm2,%xmm0
  mulsd  %xmm1,%xmm0
  mulsd  %xmm1,%xmm0
  movsd  0x28(%rsp),%xmm1
  divsd  %xmm0,%xmm1
  movsd  %xmm1,(%r14,%r12,8)
  add    $0x1,%r12
  movsd  %xmm1,-0x8(%r14,%r15,1)
  sub    $0x8,%r15
  cmp    %r12d,%ebx
  jge    L27
L72:
  add    $0x38,%rsp
  xor    %eax,%eax
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
```

tool_calls: name: retrieve_data
arguments: label: D39
type_guessed: f64
name: retrieve_data
arguments: label: D15
type_guessed: f64
name: retrieve_data
arguments: label: D36
type_guessed: f64
name: retrieve_data
arguments: label: D24
type_guessed: f64
name: retrieve_data
arguments: label: D52
type_guessed: qword
name: retrieve_data
arguments: label: D46
type_guessed: byte[8]

tool: D39: 0.5

tool: D15: 0.25

tool: D36: 3.141592654

tool: D24: 1

tool: D52: 9223372036854775807

tool: {"D46": [0x70,0x0b,0x1b,0xe9,0x1f,0x7e,0xc0,0x3d]}

assistant: ```c
gauleg(x1, x2, x, w, n) double x1, x2, x[], w[];
int n;
{
  int m, j, i;
  double z1, z, xm, xl, pp, p3, p2, p1;
  m = (n + 1) / 2;
  xm = 0.5 * (x2 + x1);
  xl = 0.5 * (x2 - x1);
  for (i = 1; i <= m; i++) {
    z = cos(3.141592654 * (i - 0.25) / (n + 0.5));
    do {
      p1 = 1.0;
      p2 = 0.0;
      for (j = 1; j <= n; j++) {
        p3 = p2;
        p2 = p1;
        p1 = ((2.0 * j - 1.0) * z * p2 - (j - 1.0) * p3) / j;
      }
      pp = n * (z * p1 - p2) / (z * z - 1.0);
      z1 = z;
      z = z1 - p1 / pp;
    } while (fabs(z - z1) > 3.0e-11);
    x[i] = xm - xl * z;
    x[n + 1 - i] = xm + xl * z;
    w[i] = 2.0 * xl / ((1.0 - z * z) * pp * pp);
    w[n + 1 - i] = w[i];
  }
}
```