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

```asm
<housholder>:
  endbr64
  push   %rbp
  mov    %ecx,%r11d
  mov    %rsp,%rbp
  push   %r15
  push   %r14
  mov    %esi,%r14d
  push   %r13
  push   %r12
  push   %rbx
  mov    %edx,%ebx
  sub    $0x48,%rsp
  mov    %rdi,-0x58(%rbp)
  mov    %r8d,-0x68(%rbp)
  mov    %fs:0x28,%rax
  mov    %rax,-0x38(%rbp)
  xor    %eax,%eax
  movslq %edx,%rax
  mov    %rsp,%rdx
  lea    0xf(,%rax,8),%rax
  mov    %rax,%rcx
  and    $0xfffffffffffff000,%rax
  sub    %rax,%rdx
  and    $0xfffffffffffffff0,%rcx
  cmp    %rdx,%rsp
  je     L17
L173:
  sub    $0x1000,%rsp
  orq    $0x0,0xff8(%rsp)
  cmp    %rdx,%rsp
  jne    L173
L17:
  and    $0xfff,%ecx
  sub    %rcx,%rsp
  test   %rcx,%rcx
  jne    L65
L91:
  mov    %rsp,%r12
  mov    %r12,-0x48(%rbp)
  test   %r11d,%r11d
  jle    L28
  lea    0x0(,%rbx,8),%eax
  xor    %r10d,%r10d
  mov    %ebx,-0x4c(%rbp)
  xor    %r13d,%r13d
  mov    %eax,-0x50(%rbp)
  lea    -0x40(%rbp),%rax
  xor    %r15d,%r15d
  mov    %r10,%rbx
  mov    %rax,-0x60(%rbp)
  mov    %r11d,-0x64(%rbp)
  jmp    L52
  nopl   (%rax)
L71:
  cmp    %r15d,-0x64(%rbp)
  jle    L28
  add    %r14d,%r13d
L149:
  add    $0x1,%rbx
  sub    $0x8,%r12
L52:
  mov    -0x50(%rbp),%edx
  mov    -0x48(%rbp),%rdi
  xor    %esi,%esi
  call   <memset@plt>
  sub    $0x8,%rsp
  push   -0x60(%rbp)
  mov    -0x4c(%rbp),%ecx
  mov    -0x48(%rbp),%r9
  mov    %r15d,%edx
  mov    %r15d,%r8d
  mov    %r14d,%esi
  mov    -0x58(%rbp),%rdi
  add    $0x1,%r15d
  call   <hougenu@plt>
  pop    %rdx
  pop    %rcx
  test   %rax,%rax
  je     L71
  mov    -0x68(%rbp),%eax
  test   %eax,%eax
  jne    L18
L75:
  mov    -0x64(%rbp),%r11d
  cmp    %r15d,%r11d
  jle    L28
  add    %r14d,%r13d
  movsd  -0x40(%rbp),%xmm2
  mov    -0x58(%rbp),%r8
  mov    %r15d,%esi
  mov    -0x4c(%rbp),%ecx
  mov    %r13d,%edi
  nopl   0x0(%rax,%rax,1)
L81:
  cmp    %ebx,%ecx
  jle    L37
  movslq %edi,%rax
  pxor   %xmm1,%xmm1
  lea    (%r8,%rax,8),%rdx
  mov    %rbx,%rax
  nopw   0x0(%rax,%rax,1)
L127:
  movsd  (%r12,%rax,8),%xmm0
  mulsd  (%rdx,%rax,8),%xmm0
  add    $0x1,%rax
  addsd  %xmm0,%xmm1
  cmp    %eax,%ecx
  jg     L127
  mulsd  %xmm2,%xmm1
  mov    %rbx,%rax
  xchg   %ax,%ax
L172:
  movsd  (%r12,%rax,8),%xmm0
  mulsd  %xmm1,%xmm0
  addsd  (%rdx,%rax,8),%xmm0
  movsd  %xmm0,(%rdx,%rax,8)
  add    $0x1,%rax
  cmp    %eax,%ecx
  jg     L172
L37:
  add    $0x1,%esi
  add    %r14d,%edi
  cmp    %esi,%r11d
  jne    L81
  jmp    L149
L28:
  mov    -0x38(%rbp),%rax
  sub    %fs:0x28,%rax
  jne    L110
  lea    -0x28(%rbp),%rsp
  pop    %rbx
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  pop    %rbp
  ret
L18:
  cmp    %ebx,-0x4c(%rbp)
  jle    L15
  mov    -0x58(%rbp),%rdi
  movslq %r13d,%rax
  mov    -0x48(%rbp),%rsi
  lea    0x1(%rbx,%rax,1),%rax
  lea    (%rdi,%rax,8),%rdi
  mov    -0x4c(%rbp),%eax
  sub    %r15d,%eax
  lea    0x8(,%rax,8),%rdx
  call   <memcpy@plt>
L15:
  mov    -0x4c(%rbp),%eax
  movsd  -0x40(%rbp),%xmm0
  mov    -0x58(%rbp),%rdi
  add    %r13d,%eax
  cltq
  movsd  %xmm0,0x8(%rdi,%rax,8)
  jmp    L75
L65:
  orq    $0x0,-0x8(%rsp,%rcx,1)
  jmp    L91
L110:
  call   <__stack_chk_fail@plt>
```

assistant: ```c
void housholder(double *A, int lda, int m, int n, int lsav) {
  int i, j, col;
  double u[m], beta, sum;
  for (col = 0; col < n; col++) {
    memset(u, 0, sizeof(double) * m);
    if (hougenu(A, lda, col, m, col, u, &beta)) {
      if (lsav) {
        for (i = col; i < m; i++) {
          A[lda * col + i + 1] = u[i - col];
        }
        A[lda * col + m + 1] = beta;
      }
      for (i = col + 1; i < n; i++) {
        sum = 0.0;
        for (j = col; j < m; j++)
          sum += u[j - col] * A[j + lda * i];
        for (j = col; j < m; j++)
          A[j + lda * i] += beta * sum * u[j - col];
      }
    }
  }
}
```