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

```asm
<determinant>:
  endbr64
  push   %r15
  mov    $0x19,%ecx
  pxor   %xmm1,%xmm1
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x108,%rsp
  mov    %rdi,(%rsp)
  lea    0x30(%rsp),%rbp
  mov    %rbp,%rdi
  mov    %fs:0x28,%rax
  mov    %rax,0xf8(%rsp)
  xor    %eax,%eax
  rep stos %rax,%es:(%rdi)
  test   %esi,%esi
  jle    L193
  mov    %esi,%r15d
  cmp    $0x1,%esi
  je     L198
  cmp    $0x2,%esi
  je     L90
  lea    -0x1(%rsi),%eax
  xor    %r14d,%r14d
  mov    %eax,0x1c(%rsp)
  movslq %esi,%rax
  mov    %rax,0x20(%rsp)
  mov    (%rsp),%rax
  add    $0x28,%rax
  mov    %rax,0x28(%rsp)
L263:
  cmp    $0x1,%r14d
  mov    %r14d,0x18(%rsp)
  mov    %rbp,%rcx
  mov    %r14d,%ebx
  sbb    %esi,%esi
  mov    0x28(%rsp),%rdx
  add    $0x1,%esi
  cmp    $0x1,%r14d
  lea    0x1(%rsi),%edi
  cmove  %esi,%edi
  cmp    $0x2,%r14d
  movslq %esi,%rsi
  lea    0x1(%rdi),%r8d
  cmove  %edi,%r8d
  cmp    $0x3,%r14d
  movslq %edi,%rdi
  lea    0x1(%r8),%r9d
  cmove  %r8d,%r9d
  cmp    $0x4,%r14d
  movslq %r8d,%r8
  lea    0x1(%r9),%r10d
  cmove  %r9d,%r10d
  cmp    $0x5,%r14d
  movslq %r9d,%r9
  lea    0x1(%r10),%eax
  movslq %r10d,%r11
  cmove  %r10d,%eax
  mov    %r11,0x10(%rsp)
  mov    %eax,0x8(%rsp)
  xor    %eax,%eax
  nopl   0x0(%rax)
L194:
  movslq %eax,%r12
  test   %r14,%r14
  je     L56
  movsd  (%rdx),%xmm0
  movsd  %xmm0,(%rcx)
  cmp    $0x1,%r14
  je     L89
L56:
  movsd  0x8(%rdx),%xmm0
  lea    (%r12,%r12,4),%r10
  add    %rsi,%r10
  movsd  %xmm0,0x30(%rsp,%r10,8)
  cmp    $0x2,%r14
  je     L163
L89:
  movsd  0x10(%rdx),%xmm0
  lea    (%r12,%r12,4),%r10
  add    %rdi,%r10
  movsd  %xmm0,0x30(%rsp,%r10,8)
  cmp    $0x3,%r15d
  je     L4
  cmp    $0x3,%ebx
  je     L132
L155:
  movsd  0x18(%rdx),%xmm0
  lea    (%r12,%r12,4),%r10
  add    %r8,%r10
  movsd  %xmm0,0x30(%rsp,%r10,8)
  cmp    $0x4,%r15d
  jle    L4
  cmp    $0x4,%r14
  je     L205
L178:
  movsd  0x20(%rdx),%xmm0
  lea    (%r12,%r12,4),%r10
  add    %r9,%r10
  movsd  %xmm0,0x30(%rsp,%r10,8)
  cmp    $0x5,%r15d
  jle    L4
  cmp    $0x5,%r14
  je     L203
L225:
  movsd  0x28(%rdx),%xmm0
  lea    (%r12,%r12,4),%r10
  add    0x10(%rsp),%r10
  movsd  %xmm0,0x30(%rsp,%r10,8)
L203:
  cmp    $0x6,%r15d
  jle    L4
  mov    0x8(%rsp),%r11d
  mov    $0x6,%r10d
  lea    (%r12,%r12,4),%r13
L216:
  cmp    %r10d,%ebx
  je     L206
  movslq %r11d,%r12
  movsd  (%rdx,%r10,8),%xmm0
  add    $0x1,%r11d
  add    %r13,%r12
  movsd  %xmm0,0x30(%rsp,%r12,8)
L206:
  add    $0x1,%r10
  cmp    %r10d,%r15d
  jg     L216
  nopw   0x0(%rax,%rax,1)
L4:
  lea    0x1(%rax),%r10d
  add    $0x2,%eax
  add    $0x28,%rdx
  add    $0x28,%rcx
  cmp    %eax,%r15d
  jle    L239
  mov    %r10d,%eax
  jmp    L194
  nopl   0x0(%rax)
L239:
  pxor   %xmm0,%xmm0
  mov    D7(%rip),%rax
  movsd  %xmm1,0x10(%rsp)
  cvtsi2sdl 0x18(%rsp),%xmm0
  addsd  D0(%rip),%xmm0
  cvttsd2si %xmm0,%edi
  movq   %rax,%xmm0
  call   <pow@plt>
  mov    (%rsp),%rax
  mov    0x1c(%rsp),%esi
  mov    %rbp,%rdi
  mulsd  (%rax,%r14,8),%xmm0
  add    $0x1,%r14
  movsd  %xmm0,0x8(%rsp)
  call   <determinant>
  mulsd  0x8(%rsp),%xmm0
  movsd  0x10(%rsp),%xmm1
  addsd  %xmm0,%xmm1
  cmp    0x20(%rsp),%r14
  jne    L263
L193:
  mov    0xf8(%rsp),%rax
  sub    %fs:0x28,%rax
  jne    L23
  add    $0x108,%rsp
  movapd %xmm1,%xmm0
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L198:
  mov    (%rsp),%rax
  movsd  (%rax),%xmm1
  jmp    L193
  nopl   0x0(%rax,%rax,1)
L163:
  cmp    $0x3,%r15d
  jne    L155
  jmp    L4
  nop
L132:
  cmp    $0x4,%r15d
  jne    L178
  jmp    L4
  nop
L205:
  cmp    $0x5,%r15d
  jne    L225
  jmp    L4
L90:
  mov    (%rsp),%rax
  movsd  (%rax),%xmm1
  movsd  0x28(%rax),%xmm0
  mulsd  0x30(%rax),%xmm1
  mulsd  0x8(%rax),%xmm0
  subsd  %xmm0,%xmm1
  jmp    L193
L23:
  call   <__stack_chk_fail@plt>
```

tool_calls: name: retrieve_data
arguments: data_label: D7
type_infered: f32[2]
name: retrieve_data
arguments: data_label: D0
type_infered: f64

tool: {"D7": [0.0,-1.875]}

tool: D0: 2

assistant: ```c
double determinant(double a[5][5], int n) {
  int i, j, j1, j2;
  double det = 0;
  double m[5][5] = {0};
  if (n < 1) {
  } else if (n == 1) {
    det = a[0][0];
  } else if (n == 2) {
    det = a[0][0] * a[1][1] - a[1][0] * a[0][1];
  } else {
    det = 0;
    for (j1 = 0; j1 < n; j1++) {
      for (i = 1; i < n; i++) {
        j2 = 0;
        for (j = 0; j < n; j++) {
          if (j == j1)
            continue;
          m[i - 1][j2] = a[i][j];
          j2++;
        }
      }
      det += pow(-1.0, j1 + 2.0) * a[0][j1] * determinant(m, n - 1);
    }
  }
  return det;
}
```