user: Demonstrate the C code that generates the assembly output below:

```asm
<matrixToHessenbergForm_Householder_float>:
  endbr64
  push   %rbx
  pxor   %xmm7,%xmm7
  mov    %rdi,%rbx
  sub    $0x10,%rsp
  movss  0xc(%rdi),%xmm3
  movss  0x18(%rdi),%xmm2
  movaps %xmm3,%xmm0
  movaps %xmm2,%xmm4
  mulss  %xmm2,%xmm4
  mulss  %xmm3,%xmm0
  addss  %xmm4,%xmm0
  ucomiss %xmm0,%xmm7
  ja     L18
  sqrtss %xmm0,%xmm0
  movss  %xmm0,(%rsp)
L8:
  movaps %xmm3,%xmm0
  movss  %xmm4,0xc(%rsp)
  movss  %xmm2,0x8(%rsp)
  movss  %xmm3,0x4(%rsp)
  call   <signbit@plt>
  movss  (%rsp),%xmm1
  movss  0x4(%rsp),%xmm3
  pxor   %xmm7,%xmm7
  movss  0xc(%rsp),%xmm4
  movss  0x8(%rsp),%xmm2
  mulss  %xmm0,%xmm1
  addss  %xmm3,%xmm1
  movaps %xmm1,%xmm0
  mulss  %xmm1,%xmm0
  addss  %xmm4,%xmm0
  ucomiss %xmm0,%xmm7
  ja     L15
  sqrtss %xmm0,%xmm0
L36:
  divss  %xmm0,%xmm1
  movss  0x1c(%rbx),%xmm3
  movss  0x20(%rbx),%xmm7
  movss  0xc(%rbx),%xmm11
  movss  0x18(%rbx),%xmm12
  movss  0x10(%rbx),%xmm8
  movss  0x8(%rbx),%xmm13
  divss  %xmm0,%xmm2
  movaps %xmm1,%xmm9
  movaps %xmm1,%xmm10
  movaps %xmm1,%xmm6
  mulss  %xmm11,%xmm9
  movaps %xmm1,%xmm5
  movaps %xmm1,%xmm14
  mulss  %xmm8,%xmm10
  addss  %xmm1,%xmm5
  movaps %xmm2,%xmm0
  movaps %xmm2,%xmm4
  movaps %xmm2,%xmm15
  mulss  %xmm12,%xmm0
  mulss  %xmm7,%xmm4
  addss  %xmm0,%xmm9
  movaps %xmm2,%xmm0
  mulss  %xmm3,%xmm0
  addss  %xmm0,%xmm10
  movss  0x14(%rbx),%xmm0
  mulss  %xmm0,%xmm6
  addss  %xmm4,%xmm6
  movaps %xmm10,%xmm4
  mulss  %xmm5,%xmm4
  subss  %xmm4,%xmm8
  movaps %xmm6,%xmm4
  mulss  %xmm5,%xmm4
  subss  %xmm4,%xmm0
  movaps %xmm2,%xmm4
  addss  %xmm2,%xmm4
  mulss  %xmm0,%xmm15
  mulss  %xmm4,%xmm6
  mulss  %xmm4,%xmm10
  subss  %xmm6,%xmm7
  movss  0x4(%rbx),%xmm6
  subss  %xmm10,%xmm3
  movaps %xmm2,%xmm10
  mulss  %xmm13,%xmm10
  mulss  %xmm6,%xmm14
  mulss  %xmm7,%xmm2
  addss  %xmm10,%xmm14
  movaps %xmm1,%xmm10
  mulss  %xmm3,%xmm1
  mulss  %xmm8,%xmm10
  addss  %xmm2,%xmm1
  movaps %xmm5,%xmm2
  mulss  %xmm14,%xmm2
  addss  %xmm15,%xmm10
  mulss  %xmm4,%xmm14
  subss  %xmm2,%xmm6
  movss  D0(%rip),%xmm2
  subss  %xmm14,%xmm13
  movaps %xmm9,%xmm14
  mulss  %xmm5,%xmm14
  mulss  %xmm4,%xmm9
  xorps  %xmm2,%xmm13
  unpcklps %xmm13,%xmm6
  subss  %xmm14,%xmm11
  movaps %xmm5,%xmm14
  mulss  %xmm10,%xmm14
  subss  %xmm9,%xmm12
  mulss  %xmm4,%xmm10
  mulss  %xmm1,%xmm5
  mulss  %xmm1,%xmm4
  subss  %xmm14,%xmm8
  subss  %xmm10,%xmm0
  subss  %xmm5,%xmm3
  subss  %xmm4,%xmm7
  unpcklps %xmm8,%xmm11
  xorps  %xmm2,%xmm0
  movlhps %xmm11,%xmm6
  xorps  %xmm2,%xmm3
  unpcklps %xmm12,%xmm0
  movups %xmm6,0x4(%rbx)
  unpcklps %xmm7,%xmm3
  movlhps %xmm3,%xmm0
  movups %xmm0,0x14(%rbx)
  add    $0x10,%rsp
  pop    %rbx
  ret
L18:
  movss  %xmm4,0xc(%rsp)
  movss  %xmm2,0x8(%rsp)
  movss  %xmm3,0x4(%rsp)
  call   <sqrtf@plt>
  movss  0xc(%rsp),%xmm4
  movss  0x8(%rsp),%xmm2
  movss  0x4(%rsp),%xmm3
  movss  %xmm0,(%rsp)
  jmp    L8
L15:
  movss  %xmm1,0x4(%rsp)
  movss  %xmm2,(%rsp)
  call   <sqrtf@plt>
  movss  0x4(%rsp),%xmm1
  movss  (%rsp),%xmm2
  jmp    L36
```

tool_calls: name: retrieve_data
arguments: tag: D0
type_infered: byte[4]

tool: {"D0": [0x00,0x00,0x00,0x80]}

assistant: ```c
void matrixToHessenbergForm_Householder_float(float *A) {
  float vk[2] = {
      0.0,
      0.0,
  };
  float vk_norm = 0.0;
  float dot_array[3] = {0.0, 0.0, 0.0};
  vk[0] = A[3];
  vk[1] = A[6];
  vk_norm = sqrtf(vk[0] * vk[0] + vk[1] * vk[1]);
  vk[0] += signbit(vk[0]) * vk_norm;
  vk_norm = sqrtf(vk[0] * vk[0] + vk[1] * vk[1]);
  vk[0] /= vk_norm;
  vk[1] /= vk_norm;
  dot_array[0] = vk[0] * A[3] + vk[1] * A[6];
  dot_array[1] = vk[0] * A[4] + vk[1] * A[7];
  dot_array[2] = vk[0] * A[5] + vk[1] * A[8];
  A[3] -= 2 * vk[0] * dot_array[0];
  A[4] -= 2 * vk[0] * dot_array[1];
  A[5] -= 2 * vk[0] * dot_array[2];
  A[6] -= 2 * vk[1] * dot_array[0];
  A[7] -= 2 * vk[1] * dot_array[1];
  A[8] -= 2 * vk[1] * dot_array[2];
  dot_array[0] = vk[0] * A[1] + vk[1] * A[2];
  dot_array[1] = vk[0] * A[4] + vk[1] * A[5];
  dot_array[2] = vk[0] * A[7] + vk[1] * A[8];
  A[1] -= 2 * vk[0] * dot_array[0];
  A[2] -= 2 * vk[1] * dot_array[0];
  A[4] -= 2 * vk[0] * dot_array[1];
  A[5] -= 2 * vk[1] * dot_array[1];
  A[7] -= 2 * vk[0] * dot_array[2];
  A[8] -= 2 * vk[1] * dot_array[2];
  A[2] = -A[2];
  A[5] = -A[5];
  A[7] = -A[7];
}
```