user: Please show me the C implementation that matches the assembly code listed below:

```asm
<nfa>:
  endbr64
  push   %rbp
  mov    %rsp,%rbp
  push   %rbx
  sub    $0x88,%rsp
  mov    %edi,-0x64(%rbp)
  mov    %esi,-0x68(%rbp)
  movsd  %xmm0,-0x70(%rbp)
  movsd  %xmm1,-0x78(%rbp)
  movsd  D103(%rip),%xmm0
  movsd  %xmm0,-0x40(%rbp)
  cmpl   $0x0,-0x64(%rbp)
  js     L126
  cmpl   $0x0,-0x68(%rbp)
  js     L126
  mov    -0x68(%rbp),%eax
  cmp    -0x64(%rbp),%eax
  jg     L126
  pxor   %xmm0,%xmm0
  comisd -0x70(%rbp),%xmm0
  jae    L126
  movsd  -0x70(%rbp),%xmm0
  movsd  D139(%rip),%xmm1
  comisd %xmm1,%xmm0
  jb     L63
L126:
  lea    D32(%rip),%rax
  mov    %rax,%rdi
  call   <error@plt>
L63:
  cmpl   $0x0,-0x64(%rbp)
  je     L209
  cmpl   $0x0,-0x68(%rbp)
  jne    L155
L209:
  movsd  -0x78(%rbp),%xmm0
  movq   D228(%rip),%xmm1
  xorpd  %xmm1,%xmm0
  jmp    L172
L155:
  mov    -0x64(%rbp),%eax
  cmp    -0x68(%rbp),%eax
  jne    L30
  movsd  -0x78(%rbp),%xmm0
  movq   D228(%rip),%xmm1
  xorpd  %xmm1,%xmm0
  movsd  %xmm0,-0x80(%rbp)
  pxor   %xmm3,%xmm3
  cvtsi2sdl -0x64(%rbp),%xmm3
  movsd  %xmm3,-0x88(%rbp)
  mov    -0x70(%rbp),%rax
  movq   %rax,%xmm0
  call   <log10@plt>
  movsd  -0x88(%rbp),%xmm1
  mulsd  %xmm0,%xmm1
  movsd  -0x80(%rbp),%xmm0
  subsd  %xmm1,%xmm0
  jmp    L172
L30:
  movsd  D139(%rip),%xmm0
  movapd %xmm0,%xmm1
  subsd  -0x70(%rbp),%xmm1
  movsd  -0x70(%rbp),%xmm0
  divsd  %xmm1,%xmm0
  movsd  %xmm0,-0x38(%rbp)
  pxor   %xmm1,%xmm1
  cvtsi2sdl -0x64(%rbp),%xmm1
  movsd  D139(%rip),%xmm0
  addsd  %xmm1,%xmm0
  comisd D159(%rip),%xmm0
  jbe    L169
  pxor   %xmm1,%xmm1
  cvtsi2sdl -0x64(%rbp),%xmm1
  movsd  D139(%rip),%xmm0
  addsd  %xmm0,%xmm1
  movq   %xmm1,%rax
  movq   %rax,%xmm0
  call   <log_gamma_windschitl@plt>
  movq   %xmm0,%rbx
  jmp    L196
L169:
  pxor   %xmm1,%xmm1
  cvtsi2sdl -0x64(%rbp),%xmm1
  movsd  D139(%rip),%xmm0
  addsd  %xmm0,%xmm1
  movq   %xmm1,%rax
  movq   %rax,%xmm0
  call   <log_gamma_lanczos@plt>
  movq   %xmm0,%rbx
L196:
  pxor   %xmm1,%xmm1
  cvtsi2sdl -0x68(%rbp),%xmm1
  movsd  D139(%rip),%xmm0
  addsd  %xmm1,%xmm0
  comisd D159(%rip),%xmm0
  jbe    L249
  pxor   %xmm1,%xmm1
  cvtsi2sdl -0x68(%rbp),%xmm1
  movsd  D139(%rip),%xmm0
  addsd  %xmm0,%xmm1
  movq   %xmm1,%rax
  movq   %rax,%xmm0
  call   <log_gamma_windschitl@plt>
  jmp    L96
L249:
  pxor   %xmm1,%xmm1
  cvtsi2sdl -0x68(%rbp),%xmm1
  movsd  D139(%rip),%xmm0
  addsd  %xmm0,%xmm1
  movq   %xmm1,%rax
  movq   %rax,%xmm0
  call   <log_gamma_lanczos@plt>
L96:
  movq   %rbx,%xmm4
  subsd  %xmm0,%xmm4
  movsd  %xmm4,-0x80(%rbp)
  mov    -0x64(%rbp),%eax
  sub    -0x68(%rbp),%eax
  pxor   %xmm1,%xmm1
  cvtsi2sd %eax,%xmm1
  movsd  D139(%rip),%xmm0
  addsd  %xmm1,%xmm0
  comisd D159(%rip),%xmm0
  jbe    L67
  mov    -0x64(%rbp),%eax
  sub    -0x68(%rbp),%eax
  pxor   %xmm1,%xmm1
  cvtsi2sd %eax,%xmm1
  movsd  D139(%rip),%xmm0
  addsd  %xmm0,%xmm1
  movq   %xmm1,%rax
  movq   %rax,%xmm0
  call   <log_gamma_windschitl@plt>
  jmp    L208
L67:
  mov    -0x64(%rbp),%eax
  sub    -0x68(%rbp),%eax
  pxor   %xmm1,%xmm1
  cvtsi2sd %eax,%xmm1
  movsd  D139(%rip),%xmm0
  addsd  %xmm0,%xmm1
  movq   %xmm1,%rax
  movq   %rax,%xmm0
  call   <log_gamma_lanczos@plt>
L208:
  movsd  -0x80(%rbp),%xmm5
  subsd  %xmm0,%xmm5
  movsd  %xmm5,-0x80(%rbp)
  pxor   %xmm4,%xmm4
  cvtsi2sdl -0x68(%rbp),%xmm4
  movsd  %xmm4,-0x88(%rbp)
  mov    -0x70(%rbp),%rax
  movq   %rax,%xmm0
  call   <log@plt>
  mulsd  -0x88(%rbp),%xmm0
  addsd  -0x80(%rbp),%xmm0
  movsd  %xmm0,-0x80(%rbp)
  mov    -0x64(%rbp),%eax
  sub    -0x68(%rbp),%eax
  pxor   %xmm7,%xmm7
  cvtsi2sd %eax,%xmm7
  movsd  %xmm7,-0x88(%rbp)
  movsd  D139(%rip),%xmm0
  movapd %xmm0,%xmm7
  subsd  -0x70(%rbp),%xmm7
  movq   %xmm7,%rax
  movq   %rax,%xmm0
  call   <log@plt>
  mulsd  -0x88(%rbp),%xmm0
  addsd  -0x80(%rbp),%xmm0
  movsd  %xmm0,-0x30(%rbp)
  mov    -0x30(%rbp),%rax
  movq   %rax,%xmm0
  call   <exp@plt>
  movq   %xmm0,%rax
  mov    %rax,-0x50(%rbp)
  mov    -0x50(%rbp),%rax
  pxor   %xmm1,%xmm1
  movq   %rax,%xmm0
  call   <double_equal@plt>
  test   %rax,%rax
  je     L108
  pxor   %xmm0,%xmm0
  cvtsi2sdl -0x68(%rbp),%xmm0
  pxor   %xmm1,%xmm1
  cvtsi2sdl -0x64(%rbp),%xmm1
  mulsd  -0x70(%rbp),%xmm1
  comisd %xmm1,%xmm0
  jbe    L1
  movsd  -0x30(%rbp),%xmm0
  movq   D228(%rip),%xmm1
  xorpd  %xmm1,%xmm0
  movsd  D1(%rip),%xmm1
  divsd  %xmm1,%xmm0
  subsd  -0x78(%rbp),%xmm0
  jmp    L172
L1:
  movsd  -0x78(%rbp),%xmm0
  movq   D228(%rip),%xmm1
  xorpd  %xmm1,%xmm0
  jmp    L172
L108:
  movsd  -0x50(%rbp),%xmm0
  movsd  %xmm0,-0x48(%rbp)
  mov    -0x68(%rbp),%eax
  add    $0x1,%eax
  mov    %eax,-0x54(%rbp)
  jmp    L106
L70:
  mov    -0x64(%rbp),%eax
  sub    -0x54(%rbp),%eax
  add    $0x1,%eax
  pxor   %xmm1,%xmm1
  cvtsi2sd %eax,%xmm1
  cmpl   $0x1869f,-0x54(%rbp)
  jg     L168
  mov    -0x54(%rbp),%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  lea    D286(%rip),%rax
  movsd  (%rdx,%rax,1),%xmm0
  pxor   %xmm2,%xmm2
  ucomisd %xmm2,%xmm0
  jp     L234
  pxor   %xmm2,%xmm2
  ucomisd %xmm2,%xmm0
  je     L226
L234:
  mov    -0x54(%rbp),%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  lea    D286(%rip),%rax
  movsd  (%rdx,%rax,1),%xmm0
  jmp    L58
L226:
  pxor   %xmm2,%xmm2
  cvtsi2sdl -0x54(%rbp),%xmm2
  movsd  D139(%rip),%xmm0
  divsd  %xmm2,%xmm0
  mov    -0x54(%rbp),%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  lea    D286(%rip),%rax
  movsd  %xmm0,(%rdx,%rax,1)
  mov    -0x54(%rbp),%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  lea    D286(%rip),%rax
  movsd  (%rdx,%rax,1),%xmm0
  jmp    L58
L168:
  pxor   %xmm2,%xmm2
  cvtsi2sdl -0x54(%rbp),%xmm2
  movsd  D139(%rip),%xmm0
  divsd  %xmm2,%xmm0
L58:
  mulsd  %xmm1,%xmm0
  movsd  %xmm0,-0x28(%rbp)
  movsd  -0x28(%rbp),%xmm0
  mulsd  -0x38(%rbp),%xmm0
  movsd  %xmm0,-0x20(%rbp)
  movsd  -0x50(%rbp),%xmm0
  mulsd  -0x20(%rbp),%xmm0
  movsd  %xmm0,-0x50(%rbp)
  movsd  -0x48(%rbp),%xmm0
  addsd  -0x50(%rbp),%xmm0
  movsd  %xmm0,-0x48(%rbp)
  movsd  D139(%rip),%xmm0
  comisd -0x28(%rbp),%xmm0
  jbe    L188
  mov    -0x64(%rbp),%eax
  sub    -0x54(%rbp),%eax
  add    $0x1,%eax
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  mov    -0x20(%rbp),%rax
  movapd %xmm0,%xmm1
  movq   %rax,%xmm0
  call   <pow@plt>
  movapd %xmm0,%xmm1
  movsd  D139(%rip),%xmm0
  subsd  %xmm1,%xmm0
  movsd  D139(%rip),%xmm1
  subsd  -0x20(%rbp),%xmm1
  divsd  %xmm1,%xmm0
  movsd  D139(%rip),%xmm1
  subsd  %xmm1,%xmm0
  movsd  -0x50(%rbp),%xmm1
  mulsd  %xmm1,%xmm0
  movsd  %xmm0,-0x18(%rbp)
  mov    -0x48(%rbp),%rax
  movq   %rax,%xmm0
  call   <log10@plt>
  movq   %xmm0,%rax
  movq   D228(%rip),%xmm0
  movq   %rax,%xmm3
  xorpd  %xmm0,%xmm3
  movapd %xmm3,%xmm0
  subsd  -0x78(%rbp),%xmm0
  movq   D335(%rip),%xmm1
  andpd  %xmm1,%xmm0
  mulsd  -0x40(%rbp),%xmm0
  mulsd  -0x48(%rbp),%xmm0
  comisd -0x18(%rbp),%xmm0
  ja     L76
L188:
  addl   $0x1,-0x54(%rbp)
L106:
  mov    -0x54(%rbp),%eax
  cmp    -0x64(%rbp),%eax
  jle    L70
  jmp    L131
L76:
  nop
L131:
  mov    -0x48(%rbp),%rax
  movq   %rax,%xmm0
  call   <log10@plt>
  movq   %xmm0,%rax
  movq   D228(%rip),%xmm0
  movq   %rax,%xmm6
  xorpd  %xmm0,%xmm6
  movapd %xmm6,%xmm0
  subsd  -0x78(%rbp),%xmm0
L172:
  movq   %xmm0,%rax
  movq   %rax,%xmm0
  mov    -0x8(%rbp),%rbx
  leave
  ret
```

tool_calls: name: extract_symbolic_data
arguments: tag: D103
datatype: f64
name: extract_symbolic_data
arguments: tag: D139
datatype: f64
name: extract_symbolic_data
arguments: tag: D32
datatype: string
name: extract_symbolic_data
arguments: tag: D228
datatype: f32[2]
name: extract_symbolic_data
arguments: tag: D159
datatype: f64[2]
name: extract_symbolic_data
arguments: tag: D1
datatype: f64
name: extract_symbolic_data
arguments: tag: D335
datatype: qword

tool: D103: 0.1

tool: D139: 1

tool: D32: nfa: wrong n, k or p values.

tool: {"D228": [0.0,-0.0]}

tool: {"D159": [15.0,2.302585092994046]}

tool: D1: 2.302585092994046

tool: D335: 9223372036854775807

assistant: ```c
double nfa(int n, int k, double p, double logNT) {
  static double inv[100000];
  double tolerance = 0.1;
  double log1term, term, bin_term, mult_term, bin_tail, err, p_term;
  int i;
  if (n < 0 || k < 0 || k > n || p <= 0.0 || p >= 1.0)
    error("nfa: wrong n, k or p values.");
  if (n == 0 || k == 0)
    return -logNT;
  if (n == k)
    return -logNT - (double)n * log10(p);
  p_term = p / (1.0 - p);
  log1term = (((double)n + 1.0) > 15.0 ? log_gamma_windschitl((double)n + 1.0) : log_gamma_lanczos((double)n + 1.0)) - (((double)k + 1.0) > 15.0 ? log_gamma_windschitl((double)k + 1.0) : log_gamma_lanczos((double)k + 1.0)) - (((double)(n - k) + 1.0) > 15.0 ? log_gamma_windschitl((double)(n - k) + 1.0) : log_gamma_lanczos((double)(n - k) + 1.0)) + (double)k * log(p) + (double)(n - k) * log(1.0 - p);
  term = exp(log1term);
  if (double_equal(term, 0.0)) {
    if ((double)k > (double)n * p)
      return -log1term / 2.30258509299404568402 - logNT;
    else
      return -logNT;
  }
  bin_tail = term;
  for (i = k + 1; i <= n; i++) {
    bin_term = (double)(n - i + 1) * (i < 100000 ? (inv[i] != 0.0 ? inv[i] : (inv[i] = 1.0 / (double)i)) : 1.0 / (double)i);
    mult_term = bin_term * p_term;
    term *= mult_term;
    bin_tail += term;
    if (bin_term < 1.0) {
      err = term * ((1.0 - pow(mult_term, (double)(n - i + 1))) / (1.0 - mult_term) - 1.0);
      if (err < tolerance * fabs(-log10(bin_tail) - logNT) * bin_tail)
        break;
    }
  }
  return -log10(bin_tail) - logNT;
}
```