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

```asm
<Yanggradient>:
  endbr64
  push   %r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x38,%rsp
  mov    %rsi,%r12
  mov    %rdx,%r15
  movsd  %xmm0,0x20(%rsp)
  mov    %rcx,0x10(%rsp)
  mov    %r8,0x8(%rsp)
  movslq %edi,%rax
  lea    (%r9,%rax,8),%rbp
  cmpl   $0x0,0x70(%rsp)
  jne    L74
  mov    %edi,%r14d
  mov    $0x0,%ebx
  test   %edi,%edi
  jg     L123
L34:
  add    $0x38,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L74:
  mov    %r9,%r14
  test   %edi,%edi
  jle    L34
  mov    %edi,%r13d
  mov    $0x0,%ebx
  jmp    L26
L70:
  mov    0x80(%rsp),%rax
  comisd (%rax,%rbx,8),%xmm0
  jbe    L83
  subsd  0x18(%rsp),%xmm1
  movsd  %xmm1,(%r14,%rbx,8)
  mov    %r14,%rdi
  mov    0x8(%rsp),%rax
  call   *%rax
  movapd %xmm0,%xmm1
  movsd  0x20(%rsp),%xmm0
  subsd  %xmm1,%xmm0
  movsd  0x18(%rsp),%xmm1
  addsd  %xmm1,%xmm1
  divsd  %xmm1,%xmm0
  mov    0x10(%rsp),%rax
  movsd  %xmm0,(%rax,%rbx,8)
L61:
  add    $0x1,%rbx
  cmp    %rbx,%r13
  je     L34
L26:
  cmpl   $0x0,(%r15,%rbx,4)
  je     L61
  mov    $0x0,%eax
L102:
  movsd  (%r12,%rax,8),%xmm0
  movsd  %xmm0,0x0(%rbp,%rax,8)
  movsd  %xmm0,(%r14,%rax,8)
  add    $0x1,%rax
  cmp    %rax,%r13
  jne    L102
  movsd  (%r12,%rbx,8),%xmm0
  call   <fabs@plt>
  add    $0x1,%eax
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  mulsd  D26(%rip),%xmm0
  movsd  D4(%rip),%xmm1
  call   <pow@plt>
  movapd %xmm0,%xmm3
  movsd  %xmm0,0x18(%rsp)
  movsd  (%r14,%rbx,8),%xmm0
  subsd  %xmm3,%xmm0
  movsd  %xmm0,(%r14,%rbx,8)
  movapd %xmm3,%xmm0
  addsd  0x0(%rbp,%rbx,8),%xmm0
  movsd  %xmm0,0x0(%rbp,%rbx,8)
  movsd  (%r14,%rbx,8),%xmm1
  mov    0x78(%rsp),%rax
  movsd  (%rax,%rbx,8),%xmm2
  comisd %xmm1,%xmm2
  jbe    L70
  addsd  %xmm3,%xmm0
  movsd  %xmm0,0x0(%rbp,%rbx,8)
  mov    %rbp,%rdi
  mov    0x8(%rsp),%rax
  call   *%rax
  subsd  0x20(%rsp),%xmm0
  movsd  0x18(%rsp),%xmm1
  addsd  %xmm1,%xmm1
  divsd  %xmm1,%xmm0
  mov    0x10(%rsp),%rax
  movsd  %xmm0,(%rax,%rbx,8)
  jmp    L61
L83:
  mov    %rbp,%rdi
  mov    0x8(%rsp),%rax
  call   *%rax
  movsd  %xmm0,0x28(%rsp)
  mov    %r14,%rdi
  mov    0x8(%rsp),%rax
  call   *%rax
  movsd  0x28(%rsp),%xmm1
  subsd  %xmm0,%xmm1
  movsd  0x18(%rsp),%xmm0
  addsd  %xmm0,%xmm0
  divsd  %xmm0,%xmm1
  mov    0x10(%rsp),%rax
  movsd  %xmm1,(%rax,%rbx,8)
  jmp    L61
L1:
  movsd  %xmm1,0x0(%rbp,%rbx,8)
  mov    %rbp,%rdi
  mov    0x8(%rsp),%rax
  call   *%rax
  subsd  0x20(%rsp),%xmm0
  divsd  0x18(%rsp),%xmm0
  mov    0x10(%rsp),%rax
  movsd  %xmm0,(%rax,%rbx,8)
L156:
  add    $0x1,%rbx
  cmp    %r14,%rbx
  je     L34
L123:
  cmpl   $0x0,(%r15,%rbx,4)
  je     L156
  mov    $0x0,%eax
L112:
  movsd  (%r12,%rax,8),%xmm0
  movsd  %xmm0,0x0(%rbp,%rax,8)
  add    $0x1,%rax
  cmp    %r14,%rax
  jne    L112
  movsd  (%r12,%rbx,8),%xmm0
  call   <fabs@plt>
  add    $0x1,%eax
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  mulsd  D26(%rip),%xmm0
  movsd  D4(%rip),%xmm1
  call   <pow@plt>
  addsd  %xmm0,%xmm0
  movapd %xmm0,%xmm4
  movsd  %xmm0,0x18(%rsp)
  movsd  0x0(%rbp,%rbx,8),%xmm0
  movapd %xmm4,%xmm1
  addsd  %xmm0,%xmm1
  mov    0x80(%rsp),%rax
  comisd (%rax,%rbx,8),%xmm1
  jbe    L1
  subsd  %xmm4,%xmm0
  movsd  %xmm0,0x0(%rbp,%rbx,8)
  mov    %rbp,%rdi
  mov    0x8(%rsp),%rax
  call   *%rax
  movapd %xmm0,%xmm1
  movsd  0x20(%rsp),%xmm0
  subsd  %xmm1,%xmm0
  divsd  0x18(%rsp),%xmm0
  mov    0x10(%rsp),%rax
  movsd  %xmm0,(%rax,%rbx,8)
  jmp    L156
```

tool_calls: name: extract_symbolic_data
arguments: data_tag: D26
type: byte[8]
name: extract_symbolic_data
arguments: data_tag: D4
type: f64

tool: {"D26": [0x3a,0x8c,0x30,0xe2,0x8e,0x79,0x45,0x3e]}

tool: D4: 0.67

assistant: ```c
void Yanggradient(int n, const double x[], const int need[], double f0, double g[], double (*fun)(const double x[]), double space[], int central, const double *lowbound, const double *upbound) {
  int i, j;
  double *x0 = space, *x1 = space + n, eh0, eh01, eh;
  eh0 = eh01 = 1.e-8;
  if (central) {
    for (i = 0; i < n; i++) {
      if (need[i]) {
        for (j = 0; j < n; j++)
          x0[j] = x1[j] = x[j];
        eh = pow(eh01 * (fabs(x[i]) + 1), 0.67);
        x0[i] -= eh;
        x1[i] += eh;
        if (x0[i] < lowbound[i]) {
          x1[i] += eh;
          g[i] = ((*fun)(x1)-f0) / (eh * 2.0);
        } else if (x1[i] > upbound[i]) {
          x0[i] -= eh;
          g[i] = (f0 - (*fun)(x0)) / (eh * 2.0);
        } else
          g[i] = ((*fun)(x1) - (*fun)(x0)) / (eh * 2.0);
      }
    }
  } else {
    for (i = 0; i < n; i++) {
      if (need[i]) {
        for (j = 0; j < n; j++)
          x1[j] = x[j];
        eh = 2.0 * pow(eh0 * (fabs(x[i]) + 1), 0.67);
        if (x1[i] + eh > upbound[i]) {
          x1[i] -= eh;
          g[i] = (f0 - (*fun)(x1)) / eh;
        } else {
          x1[i] += eh;
          g[i] = ((*fun)(x1)-f0) / eh;
        }
      }
    }
  }
}
```