user: What would the C source look like for the assembly code provided here?

```asm
<hessenberg>:
  endbr64
  push   %rbp
  mov    %rsp,%rbp
  sub    $0x50,%rsp
  mov    %rdi,-0x48(%rbp)
  mov    %esi,-0x4c(%rbp)
  mov    -0x4c(%rbp),%eax
  cltq
  shl    $0x3,%eax
  mov    %eax,%edi
  call   <malloc@plt>
  mov    %rax,-0x28(%rbp)
  mov    -0x4c(%rbp),%eax
  cltq
  shl    $0x3,%eax
  mov    %eax,%edi
  call   <malloc@plt>
  mov    %rax,-0x20(%rbp)
  mov    -0x4c(%rbp),%eax
  cltq
  mov    %eax,%edx
  mov    -0x4c(%rbp),%eax
  cltq
  imul   %edx,%eax
  shl    $0x3,%eax
  mov    %eax,%edi
  call   <malloc@plt>
  mov    %rax,-0x18(%rbp)
  mov    -0x4c(%rbp),%eax
  cltq
  shl    $0x3,%eax
  mov    %eax,%edi
  call   <malloc@plt>
  mov    %rax,-0x10(%rbp)
  movl   $0x0,-0x3c(%rbp)
  jmp    L153
L133:
  mov    -0x3c(%rbp),%eax
  add    $0x1,%eax
  mov    %eax,-0x38(%rbp)
  jmp    L47
L5:
  mov    -0x38(%rbp),%eax
  imul   -0x4c(%rbp),%eax
  mov    %eax,%edx
  mov    -0x3c(%rbp),%eax
  add    %edx,%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  mov    -0x48(%rbp),%rax
  add    %rax,%rdx
  mov    -0x38(%rbp),%eax
  sub    -0x3c(%rbp),%eax
  cltq
  shl    $0x3,%rax
  lea    -0x8(%rax),%rcx
  mov    -0x28(%rbp),%rax
  add    %rcx,%rax
  movsd  (%rdx),%xmm0
  movsd  %xmm0,(%rax)
  addl   $0x1,-0x38(%rbp)
L47:
  mov    -0x38(%rbp),%eax
  cmp    -0x4c(%rbp),%eax
  jl     L5
  mov    -0x4c(%rbp),%eax
  sub    -0x3c(%rbp),%eax
  lea    -0x1(%rax),%ecx
  mov    -0x20(%rbp),%rdx
  mov    -0x28(%rbp),%rax
  mov    %ecx,%esi
  mov    %rax,%rdi
  call   <house@plt>
  movq   %xmm0,%rax
  mov    %rax,-0x8(%rbp)
  mov    -0x3c(%rbp),%eax
  add    $0x1,%eax
  mov    %eax,-0x38(%rbp)
  jmp    L145
L69:
  mov    -0x38(%rbp),%eax
  imul   -0x4c(%rbp),%eax
  mov    %eax,-0x2c(%rbp)
  movl   $0x0,-0x30(%rbp)
  mov    -0x3c(%rbp),%eax
  mov    %eax,-0x34(%rbp)
  jmp    L93
L36:
  mov    -0x34(%rbp),%edx
  mov    -0x2c(%rbp),%eax
  add    %edx,%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  mov    -0x48(%rbp),%rax
  add    %rax,%rdx
  mov    -0x30(%rbp),%ecx
  mov    -0x38(%rbp),%eax
  add    %ecx,%eax
  sub    -0x3c(%rbp),%eax
  cltq
  shl    $0x3,%rax
  lea    -0x8(%rax),%rcx
  mov    -0x18(%rbp),%rax
  add    %rcx,%rax
  movsd  (%rdx),%xmm0
  movsd  %xmm0,(%rax)
  mov    -0x4c(%rbp),%eax
  sub    -0x3c(%rbp),%eax
  sub    $0x1,%eax
  add    %eax,-0x30(%rbp)
  addl   $0x1,-0x34(%rbp)
L93:
  mov    -0x34(%rbp),%eax
  cmp    -0x4c(%rbp),%eax
  jl     L36
  addl   $0x1,-0x38(%rbp)
L145:
  mov    -0x38(%rbp),%eax
  cmp    -0x4c(%rbp),%eax
  jl     L69
  mov    -0x4c(%rbp),%eax
  sub    -0x3c(%rbp),%eax
  lea    -0x1(%rax),%edi
  mov    -0x4c(%rbp),%eax
  sub    -0x3c(%rbp),%eax
  mov    %eax,%ecx
  mov    -0x10(%rbp),%rdx
  mov    -0x20(%rbp),%rsi
  mov    -0x18(%rbp),%rax
  mov    $0x1,%r9d
  mov    %edi,%r8d
  mov    %rax,%rdi
  call   <mmult@plt>
  mov    -0x4c(%rbp),%eax
  sub    -0x3c(%rbp),%eax
  mov    %eax,%ecx
  mov    -0x8(%rbp),%rdx
  mov    -0x10(%rbp),%rax
  movq   %rdx,%xmm0
  mov    $0x1,%edx
  mov    %ecx,%esi
  mov    %rax,%rdi
  call   <scale@plt>
  mov    -0x4c(%rbp),%eax
  sub    -0x3c(%rbp),%eax
  mov    %eax,%edi
  mov    -0x4c(%rbp),%eax
  sub    -0x3c(%rbp),%eax
  lea    -0x1(%rax),%ecx
  mov    -0x18(%rbp),%rdx
  mov    -0x10(%rbp),%rsi
  mov    -0x20(%rbp),%rax
  mov    %edi,%r9d
  mov    $0x1,%r8d
  mov    %rax,%rdi
  call   <mmult@plt>
  mov    -0x3c(%rbp),%eax
  add    $0x1,%eax
  mov    %eax,-0x38(%rbp)
  jmp    L14
L122:
  mov    -0x38(%rbp),%eax
  imul   -0x4c(%rbp),%eax
  mov    %eax,-0x2c(%rbp)
  mov    -0x3c(%rbp),%eax
  mov    %eax,-0x34(%rbp)
  jmp    L27
L192:
  mov    -0x2c(%rbp),%edx
  mov    -0x34(%rbp),%eax
  add    %edx,%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  mov    -0x48(%rbp),%rax
  add    %rdx,%rax
  movsd  (%rax),%xmm0
  mov    -0x38(%rbp),%eax
  sub    -0x3c(%rbp),%eax
  lea    -0x1(%rax),%edx
  mov    -0x4c(%rbp),%eax
  sub    -0x3c(%rbp),%eax
  imul   %eax,%edx
  mov    -0x34(%rbp),%eax
  add    %edx,%eax
  sub    -0x3c(%rbp),%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  mov    -0x18(%rbp),%rax
  add    %rdx,%rax
  movsd  (%rax),%xmm1
  mov    -0x2c(%rbp),%edx
  mov    -0x34(%rbp),%eax
  add    %edx,%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  mov    -0x48(%rbp),%rax
  add    %rdx,%rax
  subsd  %xmm1,%xmm0
  movsd  %xmm0,(%rax)
  addl   $0x1,-0x34(%rbp)
L27:
  mov    -0x34(%rbp),%eax
  cmp    -0x4c(%rbp),%eax
  jl     L192
  addl   $0x1,-0x38(%rbp)
L14:
  mov    -0x38(%rbp),%eax
  cmp    -0x4c(%rbp),%eax
  jl     L122
  movl   $0x0,-0x38(%rbp)
  jmp    L15
L73:
  mov    -0x38(%rbp),%eax
  imul   -0x4c(%rbp),%eax
  mov    %eax,-0x2c(%rbp)
  mov    -0x4c(%rbp),%eax
  sub    -0x3c(%rbp),%eax
  lea    -0x1(%rax),%edx
  mov    -0x38(%rbp),%eax
  imul   %edx,%eax
  mov    %eax,-0x30(%rbp)
  mov    -0x3c(%rbp),%eax
  add    $0x1,%eax
  mov    %eax,-0x34(%rbp)
  jmp    L159
L181:
  mov    -0x2c(%rbp),%edx
  mov    -0x34(%rbp),%eax
  add    %edx,%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  mov    -0x48(%rbp),%rax
  add    %rax,%rdx
  mov    -0x30(%rbp),%ecx
  mov    -0x34(%rbp),%eax
  add    %ecx,%eax
  sub    -0x3c(%rbp),%eax
  cltq
  shl    $0x3,%rax
  lea    -0x8(%rax),%rcx
  mov    -0x18(%rbp),%rax
  add    %rcx,%rax
  movsd  (%rdx),%xmm0
  movsd  %xmm0,(%rax)
  addl   $0x1,-0x34(%rbp)
L159:
  mov    -0x34(%rbp),%eax
  cmp    -0x4c(%rbp),%eax
  jl     L181
  addl   $0x1,-0x38(%rbp)
L15:
  mov    -0x38(%rbp),%eax
  cmp    -0x4c(%rbp),%eax
  jl     L73
  mov    -0x4c(%rbp),%eax
  sub    -0x3c(%rbp),%eax
  lea    -0x1(%rax),%edi
  mov    -0x4c(%rbp),%ecx
  mov    -0x10(%rbp),%rdx
  mov    -0x20(%rbp),%rsi
  mov    -0x18(%rbp),%rax
  mov    $0x1,%r9d
  mov    %edi,%r8d
  mov    %rax,%rdi
  call   <mmult@plt>
  mov    -0x8(%rbp),%rdx
  mov    -0x4c(%rbp),%ecx
  mov    -0x10(%rbp),%rax
  movq   %rdx,%xmm0
  mov    $0x1,%edx
  mov    %ecx,%esi
  mov    %rax,%rdi
  call   <scale@plt>
  mov    -0x4c(%rbp),%eax
  sub    -0x3c(%rbp),%eax
  lea    -0x1(%rax),%edi
  mov    -0x4c(%rbp),%ecx
  mov    -0x18(%rbp),%rdx
  mov    -0x20(%rbp),%rsi
  mov    -0x10(%rbp),%rax
  mov    %edi,%r9d
  mov    $0x1,%r8d
  mov    %rax,%rdi
  call   <mmult@plt>
  movl   $0x0,-0x38(%rbp)
  jmp    L77
L148:
  mov    -0x38(%rbp),%eax
  imul   -0x4c(%rbp),%eax
  mov    %eax,-0x2c(%rbp)
  mov    -0x4c(%rbp),%eax
  sub    -0x3c(%rbp),%eax
  lea    -0x1(%rax),%edx
  mov    -0x38(%rbp),%eax
  imul   %edx,%eax
  mov    %eax,-0x30(%rbp)
  mov    -0x3c(%rbp),%eax
  add    $0x1,%eax
  mov    %eax,-0x34(%rbp)
  jmp    L140
L71:
  mov    -0x2c(%rbp),%edx
  mov    -0x34(%rbp),%eax
  add    %edx,%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  mov    -0x48(%rbp),%rax
  add    %rdx,%rax
  movsd  (%rax),%xmm0
  mov    -0x30(%rbp),%edx
  mov    -0x34(%rbp),%eax
  add    %edx,%eax
  sub    -0x3c(%rbp),%eax
  cltq
  shl    $0x3,%rax
  lea    -0x8(%rax),%rdx
  mov    -0x18(%rbp),%rax
  add    %rdx,%rax
  movsd  (%rax),%xmm1
  mov    -0x2c(%rbp),%edx
  mov    -0x34(%rbp),%eax
  add    %edx,%eax
  cltq
  lea    0x0(,%rax,8),%rdx
  mov    -0x48(%rbp),%rax
  add    %rdx,%rax
  subsd  %xmm1,%xmm0
  movsd  %xmm0,(%rax)
  addl   $0x1,-0x34(%rbp)
L140:
  mov    -0x34(%rbp),%eax
  cmp    -0x4c(%rbp),%eax
  jl     L71
  addl   $0x1,-0x38(%rbp)
L77:
  mov    -0x38(%rbp),%eax
  cmp    -0x4c(%rbp),%eax
  jl     L148
  addl   $0x1,-0x3c(%rbp)
L153:
  mov    -0x4c(%rbp),%eax
  sub    $0x2,%eax
  cmp    %eax,-0x3c(%rbp)
  jl     L133
  mov    -0x28(%rbp),%rax
  mov    %rax,%rdi
  call   <free@plt>
  mov    -0x20(%rbp),%rax
  mov    %rax,%rdi
  call   <free@plt>
  mov    -0x18(%rbp),%rax
  mov    %rax,%rdi
  call   <free@plt>
  mov    -0x10(%rbp),%rax
  mov    %rax,%rdi
  call   <free@plt>
  nop
  leave
  ret
```

assistant: ```c
void hessenberg(double *A, int N) {
  int k, i, j, t, u;
  double *x, *v, *AT, *w;
  double beta;
  x = (double *)malloc(sizeof(double) * N);
  v = (double *)malloc(sizeof(double) * N);
  AT = (double *)malloc(sizeof(double) * N * N);
  w = (double *)malloc(sizeof(double) * N);
  for (k = 0; k < N - 2; ++k) {
    for (i = k + 1; i < N; ++i) {
      x[i - k - 1] = A[i * N + k];
    }
    beta = house(x, N - k - 1, v);
    for (i = k + 1; i < N; i++) {
      t = i * N;
      u = 0;
      for (j = k; j < N; j++) {
        AT[u + i - k - 1] = A[j + t];
        u += (N - k - 1);
      }
    }
    mmult(AT, v, w, N - k, N - k - 1, 1);
    scale(w, N - k, 1, beta);
    mmult(v, w, AT, N - k - 1, 1, N - k);
    for (i = k + 1; i < N; i++) {
      t = i * N;
      for (j = k; j < N; j++) {
        A[t + j] -= AT[(i - k - 1) * (N - k) + j - k];
      }
    }
    for (i = 0; i < N; i++) {
      t = i * N;
      u = i * (N - k - 1);
      for (j = k + 1; j < N; j++) {
        AT[u + j - k - 1] = A[t + j];
      }
    }
    mmult(AT, v, w, N, N - k - 1, 1);
    scale(w, N, 1, beta);
    mmult(w, v, AT, N, 1, N - k - 1);
    for (i = 0; i < N; i++) {
      t = i * N;
      u = i * (N - k - 1);
      for (j = k + 1; j < N; j++) {
        A[t + j] -= AT[u + j - k - 1];
      }
    }
  }
  free(x);
  free(v);
  free(AT);
  free(w);
}
```