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

```asm
<NUM_lu>:
  endbr64
  push   %r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x38,%rsp
  mov    %rdi,%rbp
  mov    %rsi,%r12
  mov    %edx,%ebx
  mov    $0x4,%esi
  mov    %edx,%edi
  call   <calloc@plt>
  mov    %rax,%r15
  mov    %rax,0x10(%rsp)
  mov    $0x8,%esi
  mov    %ebx,%edi
  call   <calloc@plt>
  mov    %rax,0x20(%rsp)
  test   %ebx,%ebx
  jle    L128
  mov    %r15,%rdx
  mov    %ebx,%ecx
  mov    $0x0,%eax
L30:
  movq   $0x0,(%r12,%rax,8)
  mov    %eax,(%rdx)
  add    $0x1,%rax
  add    $0x4,%rdx
  cmp    %rcx,%rax
  jne    L30
L128:
  lea    -0x1(%rbx),%eax
  mov    %eax,0x1c(%rsp)
  test   %eax,%eax
  jle    L6
  mov    0x10(%rsp),%r14
  mov    %r14,%r9
  mov    %eax,0x18(%rsp)
  mov    %r14,%r11
  neg    %r11
  add    %r11,%r11
  movl   $0xffffffff,0xc(%rsp)
  mov    $0x0,%r13d
  mov    $0x0,%ecx
  lea    0x4(%r14),%r15
  pxor   %xmm5,%xmm5
  movq   D26(%rip),%xmm2
  movapd %xmm5,%xmm4
  movapd %xmm5,%xmm3
  mov    %r12,0x28(%rsp)
  jmp    L54
L324:
  mov    %ebx,%eax
  imul   (%r8),%eax
  cltq
  lea    (%r11,%rax,8),%rsi
  add    %rbp,%rsi
  mov    %r9,%rdx
  pxor   %xmm1,%xmm1
L183:
  mov    %ebx,%eax
  imul   (%rdx),%eax
  add    %ecx,%eax
  cltq
  movsd  0x0(%rbp,%rax,8),%xmm0
  mulsd  (%rsi,%rdx,2),%xmm0
  addsd  %xmm0,%xmm1
  add    $0x4,%rdx
  cmp    %rdi,%rdx
  jne    L183
L150:
  mov    %ebx,%eax
  imul   (%r8),%eax
  add    %ecx,%eax
  cltq
  lea    0x0(%rbp,%rax,8),%rax
  movsd  (%rax),%xmm0
  subsd  %xmm1,%xmm0
  movsd  %xmm0,(%rax)
  add    $0x4,%r8
  cmp    %r10,%r8
  je     L222
L41:
  pxor   %xmm1,%xmm1
  test   %ecx,%ecx
  jg     L324
  jmp    L150
L222:
  mov    %r14,%rsi
  mov    %ecx,%edi
  mov    %ecx,%edx
  movapd %xmm5,%xmm1
L173:
  mov    %ebx,%eax
  imul   (%rsi),%eax
  add    %ecx,%eax
  cltq
  movsd  0x0(%rbp,%rax,8),%xmm0
  andpd  %xmm2,%xmm0
  comisd %xmm1,%xmm0
  maxsd  %xmm1,%xmm0
  movapd %xmm0,%xmm1
  cmova  %edx,%edi
  add    $0x1,%edx
  add    $0x4,%rsi
  cmp    %edx,%ebx
  jne    L173
  cmp    %ecx,%edi
  je     L364
  mov    (%r14),%eax
  movslq %edi,%rdi
  mov    0x10(%rsp),%rsi
  lea    (%rsi,%rdi,4),%rdx
  mov    (%rdx),%esi
  mov    %esi,(%r14)
  mov    %eax,(%rdx)
L364:
  mov    %r14,%r10
  mov    %ebx,%eax
  imul   (%r14),%eax
  add    %ecx,%eax
  cltq
  ucomisd 0x0(%rbp,%rax,8),%xmm4
  jp     L203
  ucomisd 0x0(%rbp,%rax,8),%xmm3
  je     L209
L203:
  lea    0x1(%rcx),%r12d
  cmp    %r12d,%ebx
  jle    L195
  mov    0xc(%rsp),%eax
  lea    (%r15,%rax,4),%r8
  mov    %r12d,%esi
  jmp    L67
L209:
  lea    D14(%rip),%rdi
  call   <printf@plt>
  mov    $0x2,%eax
L376:
  add    $0x38,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L348:
  mov    %ebx,%eax
  imul   (%r10),%eax
  cltq
  lea    (%r11,%rax,8),%rdi
  add    %rbp,%rdi
  mov    %r9,%rdx
  pxor   %xmm1,%xmm1
L113:
  mov    %ebx,%eax
  imul   (%rdx),%eax
  add    %esi,%eax
  cltq
  movsd  0x0(%rbp,%rax,8),%xmm0
  mulsd  (%rdi,%rdx,2),%xmm0
  addsd  %xmm0,%xmm1
  add    $0x4,%rdx
  cmp    %r8,%rdx
  jne    L113
L50:
  mov    %ebx,%eax
  imul   (%r10),%eax
  lea    (%rax,%rsi,1),%edx
  movslq %edx,%rdx
  lea    0x0(%rbp,%rdx,8),%rdx
  movsd  (%rdx),%xmm0
  subsd  %xmm1,%xmm0
  add    %ecx,%eax
  cltq
  divsd  0x0(%rbp,%rax,8),%xmm0
  movsd  %xmm0,(%rdx)
  add    $0x1,%esi
  cmp    %esi,%ebx
  je     L195
L67:
  pxor   %xmm1,%xmm1
  test   %r13d,%r13d
  jg     L348
  jmp    L50
L195:
  add    $0x1,%r13
  add    $0x4,%r14
  addl   $0x1,0xc(%rsp)
  cmp    0x18(%rsp),%r12d
  je     L45
  mov    %r12d,%ecx
L54:
  cmp    %ecx,%ebx
  jle    L364
  mov    0x18(%rsp),%eax
  sub    %ecx,%eax
  add    %r13,%rax
  lea    (%r15,%rax,4),%r10
  mov    0xc(%rsp),%eax
  lea    (%r15,%rax,4),%rdi
  mov    %r14,%r8
  jmp    L41
L45:
  mov    0x28(%rsp),%r12
  lea    -0x2(%rbx),%eax
  mov    0x10(%rsp),%rdi
  lea    0x4(%rdi,%rax,4),%rcx
  movslq 0x1c(%rsp),%rax
  mov    %ebx,%esi
  imul   (%rdi,%rax,4),%esi
  mov    %esi,%eax
  cltq
  lea    (%r11,%rax,8),%rdx
  add    %rbp,%rdx
  pxor   %xmm1,%xmm1
L315:
  mov    %ebx,%eax
  imul   (%r9),%eax
  add    0x1c(%rsp),%eax
  cltq
  movsd  0x0(%rbp,%rax,8),%xmm0
  mulsd  (%rdx,%r9,2),%xmm0
  addsd  %xmm0,%xmm1
  add    $0x4,%r9
  cmp    %rcx,%r9
  jne    L315
L73:
  mov    0x1c(%rsp),%ecx
  movslq %ecx,%r8
  lea    0x0(,%r8,4),%r9
  mov    0x10(%rsp),%r13
  mov    %ebx,%eax
  imul   0x0(%r13,%r8,4),%eax
  add    %ecx,%eax
  cltq
  lea    0x0(%rbp,%rax,8),%rax
  movsd  (%rax),%xmm0
  subsd  %xmm1,%xmm0
  movsd  %xmm0,(%rax)
  test   %ebx,%ebx
  jle    L126
  lea    0x4(%r13),%rdi
  mov    %ebx,%eax
  imul   %ebx,%eax
  cltq
  lea    0x0(%rbp,%rax,8),%r11
  mov    0x20(%rsp),%r14
  sub    %r14,%r11
  mov    %r14,%r10
  mov    $0x0,%esi
  pxor   %xmm1,%xmm1
  jmp    L258
L6:
  pxor   %xmm1,%xmm1
  jmp    L73
L249:
  mov    %r14,%rcx
  mov    %r13,%rdx
  pxor   %xmm1,%xmm1
L129:
  mov    %ebx,%eax
  imul   (%rdx),%eax
  add    %esi,%eax
  cltq
  movsd  0x0(%rbp,%rax,8),%xmm0
  mulsd  (%rcx),%xmm0
  addsd  %xmm0,%xmm1
  add    $0x4,%rdx
  add    $0x8,%rcx
  cmp    %rdi,%rdx
  jne    L129
L141:
  add    $0x8,%r10
  add    $0x4,%rdi
L258:
  movsd  (%r11,%r10,1),%xmm0
  subsd  %xmm1,%xmm0
  movsd  %xmm0,(%r10)
  add    $0x1,%esi
  cmp    %esi,%ebx
  je     L126
  test   %esi,%esi
  jg     L249
  pxor   %xmm1,%xmm1
  jmp    L141
L126:
  cmpl   $0x0,0x1c(%rsp)
  js     L34
  mov    0x10(%rsp),%rax
  add    %rax,%r9
  mov    0x20(%rsp),%rcx
  lea    (%rcx,%r8,8),%r11
  pxor   %xmm3,%xmm3
  movapd %xmm3,%xmm4
  lea    -0x1(%rbx),%r13d
  add    $0x4,%rax
  mov    %rax,%r14
  jmp    L363
L156:
  lea    D22(%rip),%rdi
  call   <printf@plt>
  mov    $0x2,%eax
  jmp    L376
L279:
  mov    (%rcx),%edx
  mov    %edx,%eax
  imul   %ebx,%eax
  add    %esi,%eax
  cltq
  movslq %edx,%rdx
  movsd  0x0(%rbp,%rax,8),%xmm0
  mulsd  (%r12,%rdx,8),%xmm0
  addsd  %xmm0,%xmm1
  add    $0x4,%rcx
  cmp    %rcx,%rdi
  jne    L279
L19:
  movslq %r10d,%r10
  movsd  (%r11),%xmm0
  subsd  %xmm1,%xmm0
  divsd  %xmm2,%xmm0
  movsd  %xmm0,(%r12,%r10,8)
  sub    $0x1,%r8
  sub    $0x4,%r9
  sub    $0x8,%r11
  test   %r8d,%r8d
  js     L34
L363:
  mov    %r8d,%edx
  mov    %r8d,%esi
  mov    (%r9),%r10d
  mov    %r10d,%eax
  imul   %ebx,%eax
  add    %r8d,%eax
  cltq
  movsd  0x0(%rbp,%rax,8),%xmm2
  ucomisd %xmm3,%xmm2
  jp     L245
  ucomisd %xmm4,%xmm2
  je     L156
L245:
  pxor   %xmm1,%xmm1
  cmp    %r8d,%ebx
  jle    L19
  mov    %r13d,%eax
  sub    %edx,%eax
  add    %r8,%rax
  lea    (%r14,%rax,4),%rdi
  mov    %r9,%rcx
  pxor   %xmm1,%xmm1
  jmp    L279
L34:
  mov    0x20(%rsp),%rdi
  call   <free@plt>
  mov    $0x0,%eax
  jmp    L376
```

tool_calls: name: retrieve_data
arguments: data_label: D26
datatype: qword
name: retrieve_data
arguments: data_label: D14
datatype: string
name: retrieve_data
arguments: data_label: D22
datatype: string

tool: D26: 9223372036854775807

tool: D14: LU: matrix is singular, no unique solution.


tool: D22: LU: No unique solution exist.


assistant: ```c
int NUM_lu(double *matrix, double *solution, int neq) {
  int i, j, k;
  int idx;
  double big;
  double tmp = 0.0;
  int *P;
  double *y;
  P = (int *)calloc(neq, sizeof(int));
  y = (double *)calloc(neq, sizeof(double));
  for (i = 0; i < neq; i++) {
    solution[i] = 0;
    P[i] = i;
  }
  for (i = 0; i < neq - 1; i++) {
    for (j = i; j < neq; j++) {
      tmp = 0.0;
      for (k = 0; k < i; k++)
        tmp += matrix[i + neq * P[k]] * matrix[k + neq * P[j]];
      matrix[i + neq * P[j]] = matrix[i + neq * P[j]] - tmp;
    }
    big = 0.0;
    idx = i;
    for (j = i; j < neq; j++) {
      if (big < fabs(matrix[i + neq * P[j]])) {
        idx = j;
        big = fabs(matrix[i + neq * P[j]]);
      }
    }
    if (idx != i) {
      tmp = P[i];
      P[i] = P[idx];
      P[idx] = tmp;
    }
    if (matrix[i + neq * P[i]] == 0.0) {
      printf("LU: matrix is singular, no unique solution.\n");
      return 2;
    }
    for (j = i + 1; j < neq; j++) {
      tmp = 0.0;
      for (k = 0; k < i; k++)
        tmp += matrix[j + neq * P[k]] * matrix[k + neq * P[i]];
      matrix[j + neq * P[i]] = (matrix[j + neq * P[i]] - tmp) / matrix[i + neq * P[i]];
    }
  }
  i = neq - 1;
  tmp = 0.0;
  for (k = 0; k < neq - 1; k++)
    tmp += matrix[i + neq * P[k]] * matrix[k + neq * P[i]];
  matrix[i + neq * P[i]] = matrix[i + neq * P[i]] - tmp;
  for (i = 0; i < neq; i++) {
    tmp = 0.0;
    for (j = 0; j < i; j++)
      tmp += matrix[i + neq * P[j]] * y[j];
    y[i] = matrix[i + neq * neq] - tmp;
  }
  for (i = neq - 1; i >= 0; i--) {
    if (matrix[i + neq * P[i]] == 0.0) {
      printf("LU: No unique solution exist.\n");
      return 2;
    }
    tmp = 0.0;
    for (j = i; j < neq; j++)
      tmp += matrix[i + neq * P[j]] * solution[P[j]];
    solution[P[i]] = (y[i] - tmp) / matrix[i + neq * P[i]];
  }
  free(y);
  return 0;
}
```