user: Translate the below assembly code into C programming language:

```asm
<write_inner_products>:
  endbr64
  push   %rbp
  mov    %rsp,%rbp
  push   %r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbx
  sub    $0x58,%rsp
  mov    %edi,%r14d
  mov    %esi,%eax
  mov    %esi,-0x44(%rbp)
  mov    %edx,%ebx
  mov    %fs:0x28,%rdx
  mov    %rdx,-0x38(%rbp)
  xor    %edx,%edx
  cltq
  lea    0xf(,%rax,4),%rax
  mov    %rax,%rdx
  and    $0xfffffffffffffff0,%rdx
  and    $0xfffffffffffff000,%rax
  mov    %rsp,%rcx
  sub    %rax,%rcx
L67:
  cmp    %rcx,%rsp
  je     L146
  sub    $0x1000,%rsp
  orq    $0x0,0xff8(%rsp)
  jmp    L67
L146:
  mov    %rdx,%rax
  and    $0xfff,%eax
  sub    %rax,%rsp
  test   %rax,%rax
  je     L175
  orq    $0x0,-0x8(%rsp,%rax,1)
L175:
  mov    %rsp,-0x68(%rbp)
  movslq %r14d,%rax
  shl    $0x3,%rax
  lea    0xf(%rax),%rcx
  mov    %rcx,%rdx
  and    $0xfffffffffffffff0,%rdx
  and    $0xfffffffffffff000,%rcx
  mov    %rsp,%rsi
  sub    %rcx,%rsi
L194:
  cmp    %rsi,%rsp
  je     L209
  sub    $0x1000,%rsp
  orq    $0x0,0xff8(%rsp)
  jmp    L194
L209:
  mov    %rdx,%rcx
  and    $0xfff,%ecx
  sub    %rcx,%rsp
  test   %rcx,%rcx
  je     L228
  orq    $0x0,-0x8(%rsp,%rcx,1)
L228:
  mov    %rsp,-0x78(%rbp)
  add    $0xf,%rax
  mov    %rax,%rdx
  and    $0xfffffffffffffff0,%rdx
  and    $0xfffffffffffff000,%rax
  mov    %rsp,%rcx
  sub    %rax,%rcx
L185:
  cmp    %rcx,%rsp
  je     L64
  sub    $0x1000,%rsp
  orq    $0x0,0xff8(%rsp)
  jmp    L185
L64:
  mov    %rdx,%rax
  and    $0xfff,%eax
  sub    %rax,%rsp
  test   %rax,%rax
  je     L95
  orq    $0x0,-0x8(%rsp,%rax,1)
L95:
  mov    %rsp,-0x50(%rbp)
  mov    -0x78(%rbp),%rdx
  mov    %ebx,%esi
  mov    %r14d,%edi
  call   <celcon_get_inner_normal@plt>
  mov    %eax,-0x70(%rbp)
  cmp    $0x1,%eax
  je     L132
  mov    %ebx,%esi
  lea    D24(%rip),%rdi
  mov    $0x0,%eax
  call   <printf@plt>
  test   %r14d,%r14d
  jle    L18
  mov    -0x78(%rbp),%rdx
  mov    %rdx,%rbx
  mov    %r14d,%eax
  lea    (%rdx,%rax,8),%r13
  lea    D22(%rip),%r12
L2:
  movsd  (%rbx),%xmm0
  mov    %r12,%rdi
  mov    $0x1,%eax
  call   <printf@plt>
  add    $0x8,%rbx
  cmp    %r13,%rbx
  jne    L2
L18:
  lea    D11(%rip),%rdi
  call   <puts@plt>
  lea    -0x44(%rbp),%rdi
  mov    -0x68(%rbp),%rsi
  call   <celcon_length_of_supports@plt>
  mov    %eax,-0x70(%rbp)
  cmpl   $0x0,-0x44(%rbp)
  jle    L80
  lea    -0x2(%r14),%eax
  mov    -0x50(%rbp),%rdx
  lea    0x8(%rdx,%rax,8),%r12
  movq   $0x0,-0x60(%rbp)
  lea    D78(%rip),%r15
  jmp    L34
L132:
  lea    D73(%rip),%rdi
  call   <puts@plt>
L80:
  mov    -0x38(%rbp),%rax
  sub    %fs:0x28,%rax
  jne    L36
  mov    -0x70(%rbp),%eax
  lea    -0x28(%rbp),%rsp
  pop    %rbx
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  pop    %rbp
  ret
L166:
  mov    %rbx,-0x58(%rbp)
L53:
  mov    -0x68(%rbp),%rax
  mov    -0x60(%rbp),%rcx
  cmp    (%rax,%rcx,4),%r13d
  jge    L126
L90:
  mov    %r13d,-0x48(%rbp)
  add    $0x1,%r13d
  mov    -0x50(%rbp),%rbx
  mov    %rbx,%rcx
  mov    %r13d,%edx
  mov    -0x6c(%rbp),%esi
  mov    %r14d,%edi
  call   <celcon_get_lifted_point@plt>
  mov    %eax,-0x70(%rbp)
  cmp    $0x1,%r14d
  jle    L59
L223:
  cvttsd2si (%rbx),%esi
  mov    %r15,%rdi
  mov    $0x0,%eax
  call   <printf@plt>
  add    $0x8,%rbx
  cmp    %rbx,%r12
  jne    L223
L59:
  mov    -0x50(%rbp),%rdx
  mov    -0x78(%rbp),%rsi
  mov    %r14d,%edi
  call   <inner_product@plt>
  movq   %xmm0,%rbx
  lea    D50(%rip),%rdi
  mov    $0x1,%eax
  call   <printf@plt>
  cmpl   $0x0,-0x48(%rbp)
  je     L166
  movq   %rbx,%xmm1
  minsd  -0x58(%rbp),%xmm1
  movsd  %xmm1,-0x58(%rbp)
  jmp    L53
L126:
  movsd  -0x58(%rbp),%xmm0
  mov    -0x7c(%rbp),%esi
  lea    D57(%rip),%rdi
  mov    $0x1,%eax
  call   <printf@plt>
  addq   $0x1,-0x60(%rbp)
  mov    -0x60(%rbp),%rax
  cmp    %eax,-0x44(%rbp)
  jle    L80
L34:
  mov    -0x60(%rbp),%r13
  mov    %r13d,%ebx
  mov    %r13d,-0x7c(%rbp)
  mov    %r13d,%esi
  lea    D5(%rip),%rdi
  mov    $0x0,%eax
  call   <printf@plt>
  mov    -0x68(%rbp),%rax
  cmpl   $0x0,(%rax,%r13,4)
  jle    L126
  mov    $0x0,%r13d
  lea    0x1(%rbx),%eax
  mov    %eax,-0x6c(%rbp)
  jmp    L90
L36:
  call   <__stack_chk_fail@plt>
```

tool_calls: name: retrieve_data
arguments: data_tag: D24
data_type: string
name: retrieve_data
arguments: data_tag: D22
data_type: string
name: retrieve_data
arguments: data_tag: D11
data_type: string
name: retrieve_data
arguments: data_tag: D78
data_type: string
name: retrieve_data
arguments: data_tag: D73
data_type: string
name: retrieve_data
arguments: data_tag: D50
data_type: string
name: retrieve_data
arguments: data_tag: D57
data_type: string
name: retrieve_data
arguments: data_tag: D5
data_type: string

tool: D24: inner normal for cell %d :


tool: D22: %.15le


tool: D11: 
computing the inner products with all points ...

tool: D78:  %d

tool: D73: an error happened...

tool: D50:  : %.15le


tool: D57: -> support %d has minimal product : %.15le


tool: D5: support %d :


assistant: ```c
int write_inner_products(int n, int r, int k) {
  int fail, i, j, kk;
  int nl[r];
  double normal[n], point[n], prod, minprod;
  fail = celcon_get_inner_normal(n, k, normal);
  if (fail == 1)
    printf("an error happened...\n");
  else {
    printf("inner normal for cell %d :\n", k);
    for (i = 0; i < n; i++)
      printf("%.15le\n", normal[i]);
    printf("\ncomputing the inner products with all points ...\n");
    fail = celcon_length_of_supports(&r, nl);
    for (i = 0; i < r; i++) {
      printf("support %d :\n", i);
      for (j = 0; j < nl[i]; j++) {
        fail = celcon_get_lifted_point(n, i + 1, j + 1, point);
        for (kk = 0; kk < n - 1; kk++)
          printf(" %d", (int)point[kk]);
        prod = inner_product(n, normal, point);
        printf(" : %.15le\n", prod);
        if (j == 0)
          minprod = prod;
        else if (prod < minprod)
          minprod = prod;
      }
      printf("-> support %d has minimal product : %.15le\n", i, minprod);
    }
  }
  return fail;
}
```