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

```asm
<paw_R_Schrodinger_Fixed_E>:
  endbr64
  lea    0x1(%rdi),%eax
  pxor   %xmm7,%xmm7
  pxor   %xmm3,%xmm3
  push   %r15
  cvtsi2sd %eax,%xmm7
  push   %r14
  mov    %edx,%r14d
  imul   %edi,%eax
  push   %r13
  mov    %r8,%r13
  push   %r12
  push   %rbp
  mov    %rcx,%rbp
  cvtsi2sd %eax,%xmm3
  push   %rbx
  xor    %eax,%eax
  mov    %rsi,%rbx
  sub    $0x48,%rsp
  movsd  %xmm3,0x8(%rsp)
  mov    %edx,0x2c(%rsp)
  movsd  %xmm0,0x20(%rsp)
  movsd  %xmm7,0x18(%rsp)
  call   <paw_N_LogGrid@plt>
  mov    %eax,%r12d
  xor    %eax,%eax
  call   <paw_log_amesh_LogGrid@plt>
  cmp    %r14d,%r12d
  movsd  0x8(%rsp),%xmm3
  movsd  0x20(%rsp),%xmm2
  movapd %xmm0,%xmm4
  movsd  %xmm0,0x10(%rsp)
  mulsd  %xmm0,%xmm4
  jle    L31
L63:
  xor    %eax,%eax
  movsd  %xmm2,0x38(%rsp)
  movsd  %xmm4,0x30(%rsp)
  movsd  %xmm3,0x20(%rsp)
  call   <paw_r_LogGrid@plt>
  mov    %rax,%r12
  xor    %eax,%eax
  call   <paw_alloc_LogGrid@plt>
  mov    %rax,0x8(%rsp)
  xor    %eax,%eax
  call   <paw_alloc_LogGrid@plt>
  movsd  0x20(%rsp),%xmm3
  movsd  0x30(%rsp),%xmm4
  mov    %rax,%r14
  mov    0x2c(%rsp),%eax
  movsd  0x38(%rsp),%xmm2
  test   %eax,%eax
  js     L135
  movslq 0x2c(%rsp),%rax
  lea    0x8(,%rax,8),%r15
  lea    0x0(%r13,%r15,1),%rax
  cmp    %rax,%rbp
  jae    L14
  lea    0x0(%rbp,%r15,1),%rax
  cmp    %rax,%r13
  jb     L104
L14:
  mov    %r15,%rdx
  xor    %esi,%esi
  mov    %rbp,%rdi
  movsd  %xmm2,0x38(%rsp)
  movsd  %xmm4,0x30(%rsp)
  movsd  %xmm3,0x20(%rsp)
  call   <memset@plt>
  mov    %r15,%rdx
  xor    %esi,%esi
  mov    %r13,%rdi
  call   <memset@plt>
  movsd  0x20(%rsp),%xmm3
  movsd  0x30(%rsp),%xmm4
  movsd  0x38(%rsp),%xmm2
L126:
  xor    %eax,%eax
  nopl   0x0(%rax,%rax,1)
L11:
  movsd  (%rbx,%rax,1),%xmm0
  movsd  (%r12,%rax,1),%xmm1
  mov    0x8(%rsp),%rcx
  subsd  %xmm2,%xmm0
  mulsd  %xmm1,%xmm1
  addsd  %xmm0,%xmm0
  mulsd  %xmm1,%xmm0
  addsd  %xmm3,%xmm0
  mulsd  %xmm4,%xmm0
  movsd  %xmm0,(%rcx,%rax,1)
  add    $0x8,%rax
  cmp    %r15,%rax
  jne    L11
L135:
  movsd  0x18(%rsp),%xmm3
  mulsd  0x10(%rsp),%xmm3
  xor    %ebx,%ebx
  movsd  %xmm3,0x20(%rsp)
L116:
  movsd  (%r12,%rbx,1),%xmm0
  movsd  0x18(%rsp),%xmm1
  call   <pow@plt>
  mov    0x8(%rsp),%rax
  movsd  %xmm0,0x0(%rbp,%rbx,1)
  mulsd  0x20(%rsp),%xmm0
  movsd  %xmm0,0x0(%r13,%rbx,1)
  mulsd  0x10(%rsp),%xmm0
  movsd  (%rax,%rbx,1),%xmm1
  mulsd  0x0(%rbp,%rbx,1),%xmm1
  addsd  %xmm0,%xmm1
  movsd  %xmm1,(%r14,%rbx,1)
  add    $0x8,%rbx
  cmp    $0x20,%rbx
  jne    L116
  movslq 0x2c(%rsp),%rax
  cmp    $0x3,%eax
  jle    L60
  mov    %rax,0x18(%rsp)
  mov    $0x3,%r15d
  nopl   0x0(%rax)
L131:
  movsd  0x0(%rbp,%r15,8),%xmm0
  movsd  D15(%rip),%xmm6
  mov    %r15d,%r12d
  andpd  D28(%rip),%xmm0
  comisd %xmm0,%xmm6
  jbe    L60
  mov    %r13,%rdx
  mov    %rbp,%rsi
  mov    %r12d,%edi
  mov    $0x6,%ebx
  call   <paw_Predictor_Out@plt>
  mov    %r14,%rdx
  mov    %r13,%rsi
  mov    %r12d,%edi
  movsd  %xmm0,0x8(%rbp,%r15,8)
  call   <paw_Predictor_Out@plt>
  movapd %xmm0,%xmm1
  movsd  %xmm0,0x8(%r13,%r15,8)
  movsd  0x8(%rbp,%r15,8),%xmm0
  jmp    L138
L54:
  movsd  0x8(%r13,%r15,8),%xmm1
L138:
  mov    0x8(%rsp),%rax
  mov    %r14,%rdx
  mov    %r13,%rsi
  mov    %r12d,%edi
  mulsd  0x10(%rsp),%xmm1
  mulsd  0x8(%rax,%r15,8),%xmm0
  addsd  %xmm1,%xmm0
  movsd  %xmm0,0x8(%r14,%r15,8)
  call   <paw_Corrector_Out@plt>
  mov    %r13,%rdx
  mov    %rbp,%rsi
  mov    %r12d,%edi
  movsd  %xmm0,0x8(%r13,%r15,8)
  call   <paw_Corrector_Out@plt>
  movsd  %xmm0,0x8(%rbp,%r15,8)
  sub    $0x1,%ebx
  jne    L54
  add    $0x1,%r15
  cmp    %r15,0x18(%rsp)
  jne    L131
L60:
  mov    %r14,%rdi
  call   <paw_dealloc_LogGrid@plt>
  mov    0x8(%rsp),%rdi
  call   <paw_dealloc_LogGrid@plt>
  add    $0x48,%rsp
  mov    $0x1,%eax
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L31:
  lea    D1(%rip),%rdi
  movsd  %xmm2,0x30(%rsp)
  movsd  %xmm4,0x20(%rsp)
  call   <printf@plt>
  lea    D31(%rip),%rdi
  call   <printf@plt>
  mov    $0x1,%edi
  call   <exit@plt>
  movsd  0x30(%rsp),%xmm2
  movsd  0x20(%rsp),%xmm4
  movsd  0x8(%rsp),%xmm3
  jmp    L63
L104:
  xor    %eax,%eax
  nop
L18:
  movq   $0x0,0x0(%rbp,%rax,1)
  movq   $0x0,0x0(%r13,%rax,1)
  add    $0x8,%rax
  cmp    %rax,%r15
  jne    L18
  jmp    L126
```

tool_calls: name: extract_symbolic_data
arguments: label: D15
type: f32[2]
name: extract_symbolic_data
arguments: label: D28
type: qword[2]
name: extract_symbolic_data
arguments: label: D1
type: string
name: extract_symbolic_data
arguments: label: D31
type: string

tool: {"D15": [0.0,18.98023223876953]}

tool: {"D28": [0x7fffffffffffffff,0x0000000000000000]}

tool: D1: match point is outside the allowed region


tool: D31: abborting the program


assistant: ```c
int paw_R_Schrodinger_Fixed_E(int l, double *v, int match, double E, double *u, double *uprime) {
  int i, j, Ngrid;
  double log_amesh, log_amesh2, gamma, L2, r2, *r, *f_upp, *upp;
  double max_u;
  max_u = 100000000;
  gamma = ((double)(l + 1));
  L2 = ((double)(l * (l + 1)));
  Ngrid = paw_N_LogGrid();
  log_amesh = paw_log_amesh_LogGrid();
  log_amesh2 = log_amesh * log_amesh;
  if (match > Ngrid - 1) {
    printf("match point is outside the allowed region\n");
    printf("abborting the program\n");
    exit(1);
  }
  r = paw_r_LogGrid();
  f_upp = paw_alloc_LogGrid();
  upp = paw_alloc_LogGrid();
  for (i = 0; i <= match; i++) {
    u[i] = 0.0;
    uprime[i] = 0.0;
  }
  for (i = 0; i < match + 1; ++i) {
    r2 = r[i] * r[i];
    f_upp[i] = log_amesh2 * (L2 + 2.0 * (v[i] - E) * r2);
  }
  for (i = 0; i < 4; ++i) {
    u[i] = pow(r[i], gamma);
    uprime[i] = log_amesh * gamma * u[i];
    upp[i] = log_amesh * uprime[i] + f_upp[i] * u[i];
  }
  i = 3;
  while (i < match && fabs(u[i]) < max_u) {
    u[i + 1] = paw_Predictor_Out(i, u, uprime);
    uprime[i + 1] = paw_Predictor_Out(i, uprime, upp);
    for (j = 0; j < 6; ++j) {
      upp[i + 1] = log_amesh * uprime[i + 1] + f_upp[i + 1] * u[i + 1];
      uprime[i + 1] = paw_Corrector_Out(i, uprime, upp);
      u[i + 1] = paw_Corrector_Out(i, u, uprime);
    }
    i = i + 1;
  }
  paw_dealloc_LogGrid(upp);
  paw_dealloc_LogGrid(f_upp);
  return 1;
}
```