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

```asm
<montgomery_ladder>:
  endbr64
  push   %rbp
  mov    %rsp,%rbp
  sub    $0x40,%rsp
  mov    %edi,-0x24(%rbp)
  mov    %esi,-0x28(%rbp)
  mov    %edx,-0x2c(%rbp)
  mov    %ecx,-0x30(%rbp)
  mov    %r8d,-0x34(%rbp)
  mov    %r9d,-0x38(%rbp)
  mov    -0x20(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_init@plt>
  mov    -0x1c(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_init@plt>
  mov    -0x18(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_init@plt>
  mov    -0x14(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_init@plt>
  mov    -0x10(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_init@plt>
  mov    -0xc(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_init@plt>
  mov    -0x8(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_init@plt>
  mov    -0x4(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_init@plt>
  mov    -0x24(%rbp),%edx
  mov    -0x20(%rbp),%eax
  mov    %edx,%esi
  mov    %eax,%edi
  call   <mpz_set@plt>
  mov    -0x28(%rbp),%edx
  mov    -0x1c(%rbp),%eax
  mov    %edx,%esi
  mov    %eax,%edi
  call   <mpz_set@plt>
  mov    -0x2c(%rbp),%edx
  mov    -0x18(%rbp),%eax
  mov    %edx,%esi
  mov    %eax,%edi
  call   <mpz_set@plt>
  mov    -0x30(%rbp),%edx
  mov    -0x14(%rbp),%eax
  mov    %edx,%esi
  mov    %eax,%edi
  call   <mpz_set@plt>
  mov    -0x1c(%rbp),%edx
  mov    -0x18(%rbp),%ecx
  mov    -0x8(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x20(%rbp),%edx
  mov    -0x14(%rbp),%ecx
  mov    -0x4(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x8(%rbp),%edx
  mov    -0x4(%rbp),%ecx
  mov    -0x10(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add@plt>
  mov    -0x8(%rbp),%edx
  mov    -0x4(%rbp),%ecx
  mov    -0xc(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_sub@plt>
  mov    -0xc(%rbp),%edx
  mov    -0xc(%rbp),%ecx
  mov    -0xc(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x14(%rbp),%edx
  mov    -0x1c(%rbp),%ecx
  mov    -0x4(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x4(%rbp),%edx
  mov    -0x38(%rbp),%ecx
  mov    -0x1c(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x4(%rbp),%edx
  mov    -0x4(%rbp),%ecx
  mov    -0x8(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x18(%rbp),%edx
  mov    -0x20(%rbp),%ecx
  mov    -0x20(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x8(%rbp),%edx
  mov    -0x8(%rbp),%eax
  mov    0x10(%rbp),%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x1c(%rbp),%edx
  mov    -0x20(%rbp),%ecx
  mov    -0x20(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add@plt>
  mov    -0x8(%rbp),%edx
  mov    -0x8(%rbp),%ecx
  mov    -0x8(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add@plt>
  mov    -0x10(%rbp),%edx
  mov    -0x20(%rbp),%ecx
  mov    -0x20(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0xc(%rbp),%edx
  mov    0x18(%rbp),%ecx
  mov    -0x1c(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x8(%rbp),%edx
  mov    -0x20(%rbp),%ecx
  mov    -0x10(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add@plt>
  mov    -0x10(%rbp),%edx
  mov    -0x10(%rbp),%ecx
  mov    -0x10(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add@plt>
  mov    -0x18(%rbp),%edx
  mov    -0x18(%rbp),%ecx
  mov    -0x8(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add@plt>
  mov    -0x1c(%rbp),%edx
  mov    -0x10(%rbp),%ecx
  mov    -0x10(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_sub@plt>
  mov    -0x14(%rbp),%edx
  mov    -0x14(%rbp),%ecx
  mov    -0x4(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add@plt>
  mov    -0x4(%rbp),%edx
  mov    -0x8(%rbp),%ecx
  mov    -0x20(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x14(%rbp),%edx
  mov    -0x14(%rbp),%ecx
  mov    -0x1c(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x18(%rbp),%edx
  mov    -0x18(%rbp),%ecx
  mov    -0x18(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x1c(%rbp),%edx
  mov    -0x38(%rbp),%ecx
  mov    -0x14(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x14(%rbp),%edx
  mov    -0x18(%rbp),%ecx
  mov    -0x8(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_sub@plt>
  mov    -0x14(%rbp),%edx
  mov    -0x18(%rbp),%ecx
  mov    -0x4(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add@plt>
  mov    -0x1c(%rbp),%edx
  mov    -0x1c(%rbp),%ecx
  mov    -0x1c(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add@plt>
  mov    -0x1c(%rbp),%edx
  mov    -0x18(%rbp),%eax
  mov    0x10(%rbp),%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x20(%rbp),%edx
  mov    -0x4(%rbp),%ecx
  mov    -0x4(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x1c(%rbp),%edx
  mov    -0x18(%rbp),%ecx
  mov    -0x1c(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x18(%rbp),%edx
  mov    -0x20(%rbp),%ecx
  mov    -0x20(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x8(%rbp),%edx
  mov    -0x8(%rbp),%ecx
  mov    -0x8(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x20(%rbp),%edx
  mov    -0x8(%rbp),%ecx
  mov    -0x8(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_sub@plt>
  mov    -0x1c(%rbp),%edx
  mov    -0x4(%rbp),%ecx
  mov    -0x4(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add@plt>
  mov    -0x34(%rbp),%edx
  mov    -0x10(%rbp),%ecx
  mov    -0x10(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mod@plt>
  mov    -0x34(%rbp),%edx
  mov    -0xc(%rbp),%ecx
  mov    -0xc(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mod@plt>
  mov    -0x34(%rbp),%edx
  mov    -0x8(%rbp),%ecx
  mov    -0x8(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mod@plt>
  mov    -0x34(%rbp),%edx
  mov    -0x4(%rbp),%ecx
  mov    -0x4(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mod@plt>
  lea    D0(%rip),%rax
  mov    %rax,%rdi
  mov    $0x0,%eax
  call   <gmp_printf@plt>
  mov    -0x24(%rbp),%eax
  mov    %eax,%esi
  lea    D2(%rip),%rax
  mov    %rax,%rdi
  mov    $0x0,%eax
  call   <gmp_printf@plt>
  mov    -0x28(%rbp),%eax
  mov    %eax,%esi
  lea    D35(%rip),%rax
  mov    %rax,%rdi
  mov    $0x0,%eax
  call   <gmp_printf@plt>
  mov    -0x2c(%rbp),%eax
  mov    %eax,%esi
  lea    D13(%rip),%rax
  mov    %rax,%rdi
  mov    $0x0,%eax
  call   <gmp_printf@plt>
  mov    -0x28(%rbp),%eax
  mov    %eax,%esi
  lea    D64(%rip),%rax
  mov    %rax,%rdi
  mov    $0x0,%eax
  call   <gmp_printf@plt>
  cmpl   $0x1,0x20(%rbp)
  jne    L17
  mov    -0x10(%rbp),%ecx
  mov    -0x24(%rbp),%eax
  mov    $0x0,%edx
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add_ui@plt>
  mov    -0xc(%rbp),%ecx
  mov    -0x28(%rbp),%eax
  mov    $0x0,%edx
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add_ui@plt>
  mov    -0x8(%rbp),%ecx
  mov    -0x2c(%rbp),%eax
  mov    $0x0,%edx
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add_ui@plt>
  mov    -0x4(%rbp),%ecx
  mov    -0x30(%rbp),%eax
  mov    $0x0,%edx
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add_ui@plt>
L17:
  cmpl   $0x2,0x20(%rbp)
  jne    L4
  mov    -0x8(%rbp),%ecx
  mov    -0x24(%rbp),%eax
  mov    $0x0,%edx
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add_ui@plt>
  mov    -0x4(%rbp),%ecx
  mov    -0x28(%rbp),%eax
  mov    $0x0,%edx
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add_ui@plt>
  mov    -0x10(%rbp),%ecx
  mov    -0x2c(%rbp),%eax
  mov    $0x0,%edx
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add_ui@plt>
  mov    -0xc(%rbp),%ecx
  mov    -0x30(%rbp),%eax
  mov    $0x0,%edx
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_add_ui@plt>
L4:
  mov    -0x34(%rbp),%edx
  mov    -0x28(%rbp),%ecx
  mov    -0x28(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_invert@plt>
  mov    -0x28(%rbp),%edx
  mov    -0x24(%rbp),%ecx
  mov    -0x24(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x34(%rbp),%edx
  mov    -0x24(%rbp),%ecx
  mov    -0x24(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mod@plt>
  mov    -0x28(%rbp),%edx
  mov    -0x28(%rbp),%ecx
  mov    -0x28(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_cdiv_q@plt>
  mov    -0x34(%rbp),%edx
  mov    -0x30(%rbp),%ecx
  mov    -0x30(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_invert@plt>
  mov    -0x30(%rbp),%edx
  mov    -0x2c(%rbp),%ecx
  mov    -0x2c(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mul@plt>
  mov    -0x34(%rbp),%edx
  mov    -0x2c(%rbp),%ecx
  mov    -0x2c(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_mod@plt>
  mov    -0x30(%rbp),%edx
  mov    -0x30(%rbp),%ecx
  mov    -0x30(%rbp),%eax
  mov    %ecx,%esi
  mov    %eax,%edi
  call   <mpz_cdiv_q@plt>
  lea    D45(%rip),%rax
  mov    %rax,%rdi
  mov    $0x0,%eax
  call   <gmp_printf@plt>
  mov    -0x24(%rbp),%eax
  mov    %eax,%esi
  lea    D2(%rip),%rax
  mov    %rax,%rdi
  mov    $0x0,%eax
  call   <gmp_printf@plt>
  mov    -0x28(%rbp),%eax
  mov    %eax,%esi
  lea    D35(%rip),%rax
  mov    %rax,%rdi
  mov    $0x0,%eax
  call   <gmp_printf@plt>
  mov    -0x2c(%rbp),%eax
  mov    %eax,%esi
  lea    D13(%rip),%rax
  mov    %rax,%rdi
  mov    $0x0,%eax
  call   <gmp_printf@plt>
  mov    -0x28(%rbp),%eax
  mov    %eax,%esi
  lea    D64(%rip),%rax
  mov    %rax,%rdi
  mov    $0x0,%eax
  call   <gmp_printf@plt>
  mov    -0x20(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_clear@plt>
  mov    -0x1c(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_clear@plt>
  mov    -0x18(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_clear@plt>
  mov    -0x14(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_clear@plt>
  mov    -0x10(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_clear@plt>
  mov    -0xc(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_clear@plt>
  mov    -0x8(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_clear@plt>
  mov    -0x4(%rbp),%eax
  mov    %eax,%edi
  call   <mpz_clear@plt>
  nop
  leave
  ret
```

tool_calls: name: unpack_data
arguments: data_tag: D0
type_guessed: string
name: unpack_data
arguments: data_tag: D2
type_guessed: string
name: unpack_data
arguments: data_tag: D35
type_guessed: string
name: unpack_data
arguments: data_tag: D13
type_guessed: string
name: unpack_data
arguments: data_tag: D64
type_guessed: string
name: unpack_data
arguments: data_tag: D45
type_guessed: string

tool: D0: 
 VALORES con Reduccion


tool: D2:  Xp = %Zd


tool: D35:  Zp = %Zd


tool: D13:  Xq = %Zd


tool: D64:  Zq = %Zd


tool: D45: 
 VALORES en Coordenadas Afines


assistant: ```c
void montgomery_ladder(mpz_t Xp, mpz_t Zp, mpz_t Xq, mpz_t Zq, mpz_t P, mpz_t a, mpz_t b, mpz_t xd, int R) {
  mpz_t R0, R1, R2, R3, R4, R5, R6, R7;
  mpz_init(R0);
  mpz_init(R1);
  mpz_init(R2);
  mpz_init(R3);
  mpz_init(R4);
  mpz_init(R5);
  mpz_init(R6);
  mpz_init(R7);
  mpz_set(R0, Xp);
  mpz_set(R1, Zp);
  mpz_set(R2, Xq);
  mpz_set(R3, Zq);
  mpz_mul(R6, R2, R1);
  mpz_mul(R7, R3, R0);
  mpz_add(R4, R7, R6);
  mpz_sub(R5, R7, R6);
  mpz_mul(R5, R5, R5);
  mpz_mul(R7, R1, R3);
  mpz_mul(R1, a, R7);
  mpz_mul(R6, R7, R7);
  mpz_mul(R0, R0, R2);
  mpz_mul(R6, b, R6);
  mpz_add(R0, R0, R1);
  mpz_add(R6, R6, R6);
  mpz_mul(R0, R0, R4);
  mpz_mul(R1, xd, R5);
  mpz_add(R4, R0, R6);
  mpz_add(R4, R4, R4);
  mpz_add(R6, R2, R2);
  mpz_sub(R4, R4, R1);
  mpz_add(R7, R3, R3);
  mpz_mul(R0, R6, R7);
  mpz_mul(R1, R3, R3);
  mpz_mul(R2, R2, R2);
  mpz_mul(R3, a, R1);
  mpz_sub(R6, R2, R3);
  mpz_add(R7, R2, R3);
  mpz_add(R1, R1, R1);
  mpz_mul(R2, b, R1);
  mpz_mul(R7, R7, R0);
  mpz_mul(R1, R2, R1);
  mpz_mul(R0, R0, R2);
  mpz_mul(R6, R6, R6);
  mpz_sub(R6, R6, R0);
  mpz_add(R7, R7, R1);
  mpz_mod(R4, R4, P);
  mpz_mod(R5, R5, P);
  mpz_mod(R6, R6, P);
  mpz_mod(R7, R7, P);
  gmp_printf("\n VALORES con Reduccion\n");
  gmp_printf(" Xp = %Zd\n", Xp);
  gmp_printf(" Zp = %Zd\n", Zp);
  gmp_printf(" Xq = %Zd\n", Xq);
  gmp_printf(" Zq = %Zd\n", Zp);
  if (R == 1) {
    mpz_add_ui(Xp, R4, 0);
    mpz_add_ui(Zp, R5, 0);
    mpz_add_ui(Xq, R6, 0);
    mpz_add_ui(Zq, R7, 0);
  }
  if (R == 2) {
    mpz_add_ui(Xp, R6, 0);
    mpz_add_ui(Zp, R7, 0);
    mpz_add_ui(Xq, R4, 0);
    mpz_add_ui(Zq, R5, 0);
  }
  mpz_invert(Zp, Zp, P);
  mpz_mul(Xp, Xp, Zp);
  mpz_mod(Xp, Xp, P);
  mpz_cdiv_q(Zp, Zp, Zp);
  mpz_invert(Zq, Zq, P);
  mpz_mul(Xq, Xq, Zq);
  mpz_mod(Xq, Xq, P);
  mpz_cdiv_q(Zq, Zq, Zq);
  gmp_printf("\n VALORES en Coordenadas Afines\n");
  gmp_printf(" Xp = %Zd\n", Xp);
  gmp_printf(" Zp = %Zd\n", Zp);
  gmp_printf(" Xq = %Zd\n", Xq);
  gmp_printf(" Zq = %Zd\n", Zp);
  mpz_clear(R0);
  mpz_clear(R1);
  mpz_clear(R2);
  mpz_clear(R3);
  mpz_clear(R4);
  mpz_clear(R5);
  mpz_clear(R6);
  mpz_clear(R7);
}
```