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

```asm
<hessian_edmiston>:
  endbr64
  push   %r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  mov    %rdx,%rbx
  mov    %rcx,-0x10(%rsp)
  lea    -0x1(%rdi),%edx
  imul   %edi,%edx
  mov    %edx,%ecx
  shr    $0x1f,%ecx
  add    %edx,%ecx
  sar    %ecx
  mov    %ecx,-0x4(%rsp)
  cmp    $0x1,%edx
  jle    L42
  mov    %edi,%eax
  mov    %rsi,%r12
  lea    -0x1(%rcx),%edi
  mov    %edi,-0x8(%rsp)
  lea    0x1(%rax),%edx
  imul   %eax,%edx
  movslq %edx,%rdx
  lea    0x8(,%rdx,8),%r8
  mov    %eax,%edx
  imul   %eax,%edx
  imul   %eax,%edx
  movslq %edx,%rdx
  lea    0x0(,%rdx,8),%rdi
  mov    %rdi,-0x28(%rsp)
  movq   $0x0,-0x18(%rsp)
  movl   $0x0,-0x1c(%rsp)
  movsd  D19(%rip),%xmm5
  movapd %xmm5,%xmm4
  movapd %xmm5,%xmm3
  movapd %xmm5,%xmm2
  movq   D3(%rip),%xmm6
L136:
  mov    -0x8(%rsp),%edi
  mov    %edi,%esi
  test   %edi,%edi
  jle    L10
  mov    $0x2,%ecx
L106:
  mov    %ecx,%edi
  add    $0x1,%ecx
  imul   %ecx,%edi
  mov    %edi,%edx
  shr    $0x1f,%edx
  add    %edi,%edx
  sar    %edx
  cmp    %esi,%edx
  jle    L106
L26:
  mov    %eax,%r11d
  sub    %ecx,%r11d
  mov    %eax,%r13d
  imul   %r11d,%r13d
  lea    0x1(%r11),%esi
  lea    0x2(%r11),%edx
  imul   %esi,%edx
  mov    %edx,%edi
  shr    $0x1f,%edi
  add    %edx,%edi
  sar    %edi
  mov    -0x1c(%rsp),%edx
  sub    %r13d,%edx
  add    %edx,%edi
  cmp    %eax,%esi
  jge    L45
  movslq %esi,%rcx
  mov    %eax,%edx
  imul   %edi,%edx
  add    %esi,%edx
  imul   %eax,%edx
  add    %esi,%edx
  imul   %eax,%edx
  movslq %edx,%rdx
  add    %rcx,%rdx
  lea    (%r12,%rdx,8),%rsi
  movslq %r11d,%r10
  lea    0x0(%r13,%rax,1),%r9d
  lea    (%r11,%r9,1),%edx
  imul   %eax,%edx
  add    %edi,%edx
  imul   %eax,%edx
  movslq %edx,%rdx
  add    %r10,%rdx
  lea    (%r12,%rdx,8),%r14
  add    %edi,%r9d
  imul   %eax,%r9d
  lea    (%r11,%r9,1),%edx
  imul   %eax,%edx
  movslq %edx,%rdx
  add    %r10,%rdx
  lea    (%r12,%rdx,8),%rbp
  movslq %edi,%rdx
  add    %edi,%r9d
  imul   %eax,%r9d
  movslq %r9d,%r9
  add    %rdx,%r9
  lea    (%r12,%r9,8),%r10
  neg    %rdx
  mov    -0x18(%rsp),%r9
  lea    (%r9,%rdx,8),%r9
  add    %rbx,%r9
  mov    $0x0,%edx
  pxor   %xmm1,%xmm1
L132:
  movapd %xmm5,%xmm0
  mulsd  (%r14,%rdx,1),%xmm0
  movsd  0x0(%rbp,%rdx,1),%xmm7
  addsd  %xmm7,%xmm7
  addsd  %xmm7,%xmm0
  subsd  (%r10,%rdx,1),%xmm0
  subsd  (%rsi),%xmm0
  addsd  %xmm0,%xmm0
  mulsd  (%r9,%rcx,8),%xmm0
  addsd  %xmm0,%xmm1
  add    $0x1,%rcx
  add    %r8,%rsi
  add    -0x28(%rsp),%rdx
  cmp    %ecx,%eax
  jg     L132
L126:
  test   %edi,%edi
  jle    L19
  mov    %eax,%edx
  imul   %edi,%edx
  add    %r11d,%edx
  imul   %eax,%edx
  movslq %edx,%rdx
  movslq %edi,%rcx
  lea    (%rdx,%rcx,1),%rsi
  lea    (%r12,%rsi,8),%rsi
  mov    %r13d,%r9d
  imul   %eax,%r9d
  imul   %eax,%r9d
  movslq %r9d,%r9
  lea    (%r12,%r9,8),%r10
  mov    %edi,%r9d
  lea    0x0(%r13,%rdi,1),%r14d
  imul   %eax,%r14d
  movslq %r14d,%r14
  sub    %rdx,%r14
  lea    0x0(%r13,%r11,1),%ebp
  imul   %eax,%ebp
  movslq %ebp,%rbp
  movslq %r11d,%r15
  add    %r15,%rbp
  sub    %rcx,%rbp
  sub    %rdx,%rbp
  mov    $0x0,%ecx
L79:
  mov    %ecx,%edx
  add    $0x1,%ecx
  movapd %xmm4,%xmm0
  mulsd  (%rsi),%xmm0
  movsd  (%rsi,%r14,8),%xmm7
  addsd  %xmm7,%xmm7
  addsd  %xmm7,%xmm0
  subsd  (%rsi,%rbp,8),%xmm0
  subsd  (%r10),%xmm0
  addsd  %xmm0,%xmm0
  add    $0x2,%edx
  imul   %ecx,%edx
  mov    %edx,%r15d
  shr    $0x1f,%r15d
  add    %r15d,%edx
  sar    %edx
  mov    %r9d,%r15d
  sub    %edx,%r15d
  movslq %r15d,%r15
  mulsd  (%rbx,%r15,8),%xmm0
  addsd  %xmm0,%xmm1
  add    -0x28(%rsp),%rsi
  add    %r8,%r10
  add    %eax,%r9d
  cmp    %edi,%ecx
  jne    L79
L19:
  lea    0x1(%rdi),%r14d
  cmp    %r14d,%eax
  jle    L114
  mov    %eax,%ebp
  imul   %edi,%ebp
  movslq %r14d,%rdx
  lea    0x0(%r13,%r14,1),%ecx
  imul   %eax,%ecx
  add    %r14d,%ecx
  imul   %eax,%ecx
  movslq %ecx,%rcx
  add    %rdx,%rcx
  lea    (%r12,%rcx,8),%rcx
  movslq %edi,%r15
  lea    0x0(%rbp,%rax,1),%esi
  lea    (%rdi,%rsi,1),%r9d
  imul   %eax,%r9d
  add    %r11d,%r9d
  imul   %eax,%r9d
  movslq %r9d,%r9
  add    %r15,%r9
  lea    (%r12,%r9,8),%r10
  add    %r11d,%esi
  imul   %eax,%esi
  lea    (%rdi,%rsi,1),%r9d
  imul   %eax,%r9d
  movslq %r9d,%r9
  add    %r15,%r9
  lea    (%r12,%r9,8),%r9
  add    %r11d,%esi
  imul   %eax,%esi
  movslq %esi,%rsi
  movslq %r11d,%r15
  add    %r15,%rsi
  lea    (%r12,%rsi,8),%r15
  lea    0x2(%rdi),%esi
  imul   %esi,%r14d
  mov    %r14d,%esi
  shr    $0x1f,%esi
  add    %r14d,%esi
  sar    %esi
  neg    %esi
  movslq %esi,%rsi
  movslq %ebp,%rbp
  add    %rbp,%rsi
  lea    (%rbx,%rsi,8),%rbp
  mov    $0x0,%esi
L47:
  movapd %xmm3,%xmm0
  mulsd  (%r10,%rsi,1),%xmm0
  movsd  (%r9,%rsi,1),%xmm7
  addsd  %xmm7,%xmm7
  addsd  %xmm7,%xmm0
  subsd  (%r15,%rsi,1),%xmm0
  subsd  (%rcx),%xmm0
  addsd  %xmm0,%xmm0
  mulsd  0x0(%rbp,%rdx,8),%xmm0
  subsd  %xmm0,%xmm1
  add    $0x1,%rdx
  add    %r8,%rcx
  add    -0x28(%rsp),%rsi
  cmp    %edx,%eax
  jg     L47
L114:
  test   %r11d,%r11d
  jle    L39
  mov    %eax,%edx
  imul   %edi,%edx
  add    %edi,%r13d
  imul   %eax,%r13d
  movslq %r13d,%r13
  movslq %r11d,%rcx
  lea    (%rcx,%r13,1),%rsi
  lea    (%r12,%rsi,8),%rsi
  mov    %edx,%r9d
  imul   %eax,%r9d
  imul   %eax,%r9d
  movslq %r9d,%r9
  lea    (%r12,%r9,8),%r10
  mov    %r11d,%r9d
  lea    (%rdx,%r11,1),%ebp
  imul   %eax,%ebp
  movslq %ebp,%rbp
  sub    %r13,%rbp
  add    %edi,%edx
  imul   %eax,%edx
  movslq %edx,%rdx
  movslq %edi,%rdi
  sub    %rcx,%rdi
  add    %rdx,%rdi
  sub    %r13,%rdi
  mov    $0x0,%ecx
L82:
  mov    %ecx,%edx
  add    $0x1,%ecx
  movapd %xmm2,%xmm0
  mulsd  (%rsi),%xmm0
  movsd  (%rsi,%rbp,8),%xmm7
  addsd  %xmm7,%xmm7
  addsd  %xmm7,%xmm0
  subsd  (%rsi,%rdi,8),%xmm0
  subsd  (%r10),%xmm0
  addsd  %xmm0,%xmm0
  add    $0x2,%edx
  imul   %ecx,%edx
  mov    %edx,%r13d
  shr    $0x1f,%r13d
  add    %r13d,%edx
  sar    %edx
  mov    %r9d,%r13d
  sub    %edx,%r13d
  movslq %r13d,%rdx
  mulsd  (%rbx,%rdx,8),%xmm0
  subsd  %xmm0,%xmm1
  add    -0x28(%rsp),%rsi
  add    %r8,%r10
  add    %eax,%r9d
  cmp    %r11d,%ecx
  jne    L82
L39:
  xorpd  %xmm6,%xmm1
  mov    -0x10(%rsp),%rcx
  mov    -0x18(%rsp),%rdi
  movsd  %xmm1,(%rcx,%rdi,1)
  addl   $0x1,-0x1c(%rsp)
  mov    -0x1c(%rsp),%ecx
  subl   $0x1,-0x8(%rsp)
  add    $0x8,%rdi
  mov    %rdi,-0x18(%rsp)
  cmp    %ecx,-0x4(%rsp)
  jg     L136
L42:
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L10:
  mov    $0x2,%ecx
  jmp    L26
L45:
  pxor   %xmm1,%xmm1
  jmp    L126
```

tool_calls: name: parse_data
arguments: data_label: D19
type_guessed: f32[2]
name: parse_data
arguments: data_label: D3
type_guessed: f32[2]

tool: {"D19": [0.0,2.25]}

tool: {"D3": [0.0,-0.0]}

assistant: ```c
void hessian_edmiston(const int Norbs, double *eri, double *vector_in, double *vector_out) {
  int rowindex, p, q, r, s;
  const int num_vars = (Norbs * (Norbs - 1)) / 2;
#pragma omp parallel for schedule(static)
  for (rowindex = 0; rowindex < num_vars; rowindex++) {
    s = num_vars - 1 - rowindex;
    r = 2;
    while ((r * (r - 1)) / 2 <= s) {
      r++;
    }
    p = Norbs - r;
    q = rowindex - p * Norbs + ((p + 1) * (p + 2)) / 2;
    double value = 0.0;
    for (s = p + 1; s < Norbs; s++) {
      const int pqps = p + Norbs * (q + Norbs * (p + Norbs * s));
      const int ppqs = p + Norbs * (p + Norbs * (q + Norbs * s));
      const int qqqs = q + Norbs * (q + Norbs * (q + Norbs * s));
      const int sssq = s + Norbs * (s + Norbs * (s + Norbs * q));
      const double prefactor = 2 * (4 * eri[pqps] + 2 * eri[ppqs] - eri[qqqs] - eri[sssq]);
      const int colindex = rowindex + s - q;
      value += prefactor * vector_in[colindex];
    }
    for (r = 0; r < q; r++) {
      const int qpqr = q + Norbs * (p + Norbs * (q + Norbs * r));
      const int qqpr = q + Norbs * (q + Norbs * (p + Norbs * r));
      const int pppr = p + Norbs * (p + Norbs * (p + Norbs * r));
      const int rrrp = r + Norbs * (r + Norbs * (r + Norbs * p));
      const double prefactor = 2 * (4 * eri[qpqr] + 2 * eri[qqpr] - eri[pppr] - eri[rrrp]);
      const int colindex = q + r * Norbs - ((r + 1) * (r + 2)) / 2;
      value += prefactor * vector_in[colindex];
    }
    for (s = q + 1; s < Norbs; s++) {
      const int qpqs = q + Norbs * (p + Norbs * (q + Norbs * s));
      const int qqps = q + Norbs * (q + Norbs * (p + Norbs * s));
      const int ppps = p + Norbs * (p + Norbs * (p + Norbs * s));
      const int sssp = s + Norbs * (s + Norbs * (s + Norbs * p));
      const double prefactor = 2 * (4 * eri[qpqs] + 2 * eri[qqps] - eri[ppps] - eri[sssp]);
      const int colindex = s + q * Norbs - ((q + 1) * (q + 2)) / 2;
      value -= prefactor * vector_in[colindex];
    }
    for (r = 0; r < p; r++) {
      const int pqpr = p + Norbs * (q + Norbs * (p + Norbs * r));
      const int ppqr = p + Norbs * (p + Norbs * (q + Norbs * r));
      const int qqqr = q + Norbs * (q + Norbs * (q + Norbs * r));
      const int rrrq = r + Norbs * (r + Norbs * (r + Norbs * q));
      const double prefactor = 2 * (4 * eri[pqpr] + 2 * eri[ppqr] - eri[qqqr] - eri[rrrq]);
      const int colindex = p + r * Norbs - ((r + 1) * (r + 2)) / 2;
      value -= prefactor * vector_in[colindex];
    }
    vector_out[rowindex] = -value;
  }
}
```