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

```asm
<stepVector_Eigen>:
  endbr64
  push   %r15
  mov    %edi,%r15d
  push   %r14
  imul   %edi,%r15d
  mov    %edi,%r14d
  push   %r13
  mov    %rcx,%r13
  push   %r12
  mov    %rdx,%r12
  push   %rbp
  mov    %r15d,%edi
  mov    %r9,%rbp
  push   %rbx
  sub    $0x58,%rsp
  mov    %rsi,0x20(%rsp)
  mov    $0x8,%esi
  mov    %r8,0x30(%rsp)
  movsd  %xmm0,0x48(%rsp)
  movsd  %xmm1,(%rsp)
  call   <calloc@plt>
  mov    %r15d,%edi
  mov    $0x8,%esi
  mov    %rax,%rbx
  mov    %rax,0x18(%rsp)
  call   <calloc@plt>
  mov    $0x8,%esi
  mov    %r14d,%edi
  mov    %rax,0x10(%rsp)
  mov    %rax,%r15
  call   <calloc@plt>
  mov    $0x8,%esi
  mov    %r14d,%edi
  mov    %rax,0x28(%rsp)
  call   <calloc@plt>
  mov    $0x8,%esi
  mov    %r14d,%edi
  mov    %rax,0x8(%rsp)
  call   <calloc@plt>
  test   %rbx,%rbx
  mov    0x28(%rsp),%r9
  mov    %rax,%r10
  je     L236
  test   %r15,%r15
  je     L236
  test   %r9,%r9
  sete   %al
  cmpq   $0x0,0x8(%rsp)
  sete   %dl
  or     %dl,%al
  jne    L236
  test   %r10,%r10
  jne    L210
L236:
  lea    D4(%rip),%rdi
  mov    %r10,0x38(%rsp)
  mov    %r9,0x28(%rsp)
  call   <printf@plt>
  mov    $0xffffffff,%edi
  call   <exit@plt>
  mov    0x38(%rsp),%r10
  mov    0x28(%rsp),%r9
L210:
  test   %r14d,%r14d
  jle    L37
  movslq %r14d,%r15
  mov    0x18(%rsp),%rdx
  movsd  D13(%rip),%xmm0
  xor    %eax,%eax
  lea    0x8(,%r15,8),%r11
  nopl   0x0(%rax)
L113:
  mov    %eax,%ebx
  add    $0x1,%eax
  movsd  %xmm0,(%rdx)
  add    %r11,%rdx
  cmp    %eax,%r14d
  jne    L113
  mov    0x10(%rsp),%r8
  mov    0x18(%rsp),%rdx
  mov    %r9,%rcx
  mov    %r14d,%edi
  mov    0x20(%rsp),%rsi
  mov    %r10,0x40(%rsp)
  mov    %r11,0x38(%rsp)
  mov    %r9,0x28(%rsp)
  call   <gen_sym_eigen@plt>
  mov    0x8(%rsp),%rax
  mov    0x38(%rsp),%r11
  mov    0x40(%rsp),%r10
  mov    0x10(%rsp),%rsi
  mov    0x28(%rsp),%r9
  mov    %rax,%rdx
  sub    $0x8,%r11
  lea    0x8(%rax,%rbx,8),%r8
  mov    %r10,%rcx
  nopw   0x0(%rax,%rax,1)
L254:
  xor    %eax,%eax
  nopw   0x0(%rax,%rax,1)
L12:
  movsd  (%r12,%rax,8),%xmm0
  mulsd  (%rsi,%rax,8),%xmm0
  mov    %rax,%rdi
  addsd  (%rdx),%xmm0
  movsd  %xmm0,(%rdx)
  movsd  0x0(%r13,%rax,8),%xmm0
  mulsd  (%rsi,%rax,8),%xmm0
  add    $0x1,%rax
  addsd  (%rcx),%xmm0
  movsd  %xmm0,(%rcx)
  cmp    %rdi,%rbx
  jne    L12
  add    $0x8,%rdx
  add    %r11,%rsi
  add    $0x8,%rcx
  cmp    %rdx,%r8
  jne    L254
  pxor   %xmm3,%xmm3
  movq   D27(%rip),%xmm5
  mov    0x8(%rsp),%rcx
  xor    %eax,%eax
  movapd %xmm3,%xmm7
  movapd %xmm3,%xmm6
  jmp    L206
L241:
  mov    %rdx,%rax
L206:
  movsd  (%r9,%rax,8),%xmm1
  movapd %xmm1,%xmm0
  andpd  %xmm5,%xmm0
  comisd %xmm3,%xmm0
  jbe    L42
  movsd  (%r10,%rax,8),%xmm0
  movsd  (%rcx,%rax,8),%xmm2
  mulsd  %xmm0,%xmm2
  mulsd  %xmm0,%xmm0
  divsd  %xmm1,%xmm2
  divsd  %xmm1,%xmm0
  addsd  %xmm2,%xmm7
  addsd  %xmm0,%xmm6
L42:
  lea    0x1(%rax),%rdx
  cmp    %rax,%rbx
  jne    L241
  ucomisd %xmm3,%xmm6
  jp     L83
  movapd %xmm3,%xmm4
  je     L224
L83:
  movsd  0x48(%rsp),%xmm4
  subsd  %xmm7,%xmm4
  divsd  %xmm6,%xmm4
L224:
  lea    0x0(,%r15,8),%rdx
  xor    %esi,%esi
  mov    %rbp,%rdi
  mov    %r10,0x28(%rsp)
  mov    %r9,0x20(%rsp)
  movsd  %xmm4,0x38(%rsp)
  call   <memset@plt>
  mov    0x10(%rsp),%rcx
  mov    0x20(%rsp),%r9
  xor    %esi,%esi
  mov    0x8(%rsp),%rdi
  mov    0x28(%rsp),%r10
  xor    %edx,%edx
  pxor   %xmm3,%xmm3
  movsd  0x38(%rsp),%xmm4
  movq   D27(%rip),%xmm5
  jmp    L50
  nopl   0x0(%rax,%rax,1)
L229:
  add    $0x1,%rdx
  add    %r14d,%esi
  cmp    %r15,%rdx
  je     L290
L50:
  movsd  (%r9,%rdx,8),%xmm0
  movapd %xmm0,%xmm1
  andpd  %xmm5,%xmm1
  comisd %xmm3,%xmm1
  jbe    L229
  movsd  (%r10,%rdx,8),%xmm2
  movslq %esi,%rax
  lea    (%rcx,%rax,8),%r8
  xor    %eax,%eax
  mulsd  %xmm4,%xmm2
  addsd  (%rdi,%rdx,8),%xmm2
  divsd  %xmm0,%xmm2
  nopl   0x0(%rax)
L131:
  movsd  (%r8,%rax,8),%xmm1
  movsd  0x0(%rbp,%rax,8),%xmm0
  mulsd  %xmm2,%xmm1
  subsd  %xmm1,%xmm0
  movsd  %xmm0,0x0(%rbp,%rax,8)
  add    $0x1,%rax
  cmp    %r15,%rax
  jne    L131
  add    $0x1,%rdx
  add    %r14d,%esi
  cmp    %r15,%rdx
  jne    L50
L290:
  comisd (%rsp),%xmm3
  jae    L151
L253:
  xor    %eax,%eax
  movapd %xmm3,%xmm1
L157:
  movsd  0x0(%rbp,%rax,8),%xmm0
  add    $0x1,%rax
  mulsd  %xmm0,%xmm0
  addsd  %xmm0,%xmm1
  cmp    %eax,%r14d
  jg     L157
  ucomisd %xmm1,%xmm3
  ja     L111
L126:
  sqrtsd %xmm1,%xmm1
L152:
  comisd (%rsp),%xmm1
  jbe    L97
  test   %r14d,%r14d
  jle    L128
  lea    -0x1(%r14),%eax
  lea    0x8(%rbp,%rax,8),%rax
  xchg   %ax,%ax
L201:
  movsd  (%rsp),%xmm0
  mulsd  0x0(%rbp),%xmm0
  add    $0x8,%rbp
  divsd  %xmm1,%xmm0
  movsd  %xmm0,-0x8(%rbp)
  cmp    %rax,%rbp
  jne    L201
L245:
  mov    0x30(%rsp),%rdx
  xor    %eax,%eax
  nopl   0x0(%rax,%rax,1)
L160:
  movsd  0x0(%r13,%rax,8),%xmm0
  mulsd  %xmm4,%xmm0
  addsd  (%r12,%rax,8),%xmm0
  movsd  %xmm0,(%rdx,%rax,8)
  add    $0x1,%rax
  cmp    %eax,%r14d
  jg     L160
L128:
  mov    0x18(%rsp),%rdi
  mov    %r10,0x20(%rsp)
  mov    %r9,(%rsp)
  call   <free@plt>
  mov    0x10(%rsp),%rdi
  call   <free@plt>
  mov    (%rsp),%rdi
  call   <free@plt>
  mov    0x8(%rsp),%rdi
  call   <free@plt>
  mov    0x20(%rsp),%rdi
  add    $0x58,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  jmp    10c0 <free@plt>
L97:
  test   %r14d,%r14d
  jg     L245
  jmp    L128
L151:
  lea    D31(%rip),%rdi
  mov    %r10,0x28(%rsp)
  mov    %r9,0x20(%rsp)
  movsd  %xmm4,0x38(%rsp)
  call   <printf@plt>
  mov    $0xffffffff,%edi
  call   <exit@plt>
  mov    0x20(%rsp),%r9
  mov    0x28(%rsp),%r10
  pxor   %xmm3,%xmm3
  movsd  0x38(%rsp),%xmm4
  jmp    L253
L37:
  mov    0x10(%rsp),%r8
  mov    0x18(%rsp),%rdx
  mov    %r9,%rcx
  mov    %r14d,%edi
  mov    0x20(%rsp),%rsi
  mov    %r10,0x38(%rsp)
  mov    %r9,0x28(%rsp)
  call   <gen_sym_eigen@plt>
  pxor   %xmm4,%xmm4
  comisd (%rsp),%xmm4
  mov    0x28(%rsp),%r9
  mov    0x38(%rsp),%r10
  movapd %xmm4,%xmm1
  jb     L126
  lea    D31(%rip),%rdi
  mov    %r10,0x28(%rsp)
  mov    %r9,0x20(%rsp)
  call   <printf@plt>
  mov    $0xffffffff,%edi
  call   <exit@plt>
  pxor   %xmm4,%xmm4
  mov    0x20(%rsp),%r9
  mov    0x28(%rsp),%r10
  movapd %xmm4,%xmm1
  jmp    L126
L111:
  movapd %xmm1,%xmm0
  mov    %r10,0x28(%rsp)
  mov    %r9,0x20(%rsp)
  movsd  %xmm4,0x38(%rsp)
  call   <sqrt@plt>
  movsd  0x38(%rsp),%xmm4
  mov    0x28(%rsp),%r10
  mov    0x20(%rsp),%r9
  movapd %xmm0,%xmm1
  jmp    L152
```

tool_calls: name: retrieve_data
arguments: data_label: D4
data_type: string
name: retrieve_data
arguments: data_label: D13
data_type: f64
name: retrieve_data
arguments: data_label: D27
data_type: qword
name: retrieve_data
arguments: data_label: D31
data_type: string

tool: D4: stepVector_Eigen - error cannot allocate memory


tool: D13: 1

tool: D27: 9223372036854775807

tool: D31: stepVector_Eigen: invalid range of maxStepSize

assistant: ```c
void stepVector_Eigen(int nDim, double C, const double *H, const double *g, const double *J, double maxStepSize, double *gL, double *dR) {
  int i, j;
  double r;
  double *I;
  double *h;
  double *e;
  double *alpha;
  double *beta;
  double gamma;
  I = calloc(nDim * nDim, sizeof(double));
  h = calloc(nDim * nDim, sizeof(double));
  e = calloc(nDim, sizeof(double));
  alpha = calloc(nDim, sizeof(double));
  beta = calloc(nDim, sizeof(double));
  if (I == NULL || h == NULL || e == NULL || alpha == NULL || beta == NULL) {
    printf("stepVector_Eigen - error cannot allocate memory\n");
    exit(-1);
  }
  for (i = 0; i < nDim; i++)
    I[i * nDim + i] = 1.0;
  gen_sym_eigen(nDim, H, I, e, h);
  for (i = 0; i < nDim; i++)
    for (j = 0; j < nDim; j++) {
      alpha[i] += g[j] * h[i * nDim + j];
      beta[i] += J[j] * h[i * nDim + j];
    }
  gamma = 0.0;
  r = 0.0;
  for (i = 0; i < nDim; i++)
    if (fabs(e[i]) > 0.0) {
      gamma += alpha[i] * beta[i] / e[i];
      r += beta[i] * beta[i] / e[i];
    }
  if (r == 0.0)
    gamma = 0.0;
  else
    gamma = (C - gamma) / r;
  for (i = 0; i < nDim; i++)
    dR[i] = 0.0;
  for (i = 0; i < nDim; i++)
    if (fabs(e[i]) > 0.0) {
      r = (alpha[i] + gamma * beta[i]) / e[i];
      for (j = 0; j < nDim; j++)
        dR[j] -= r * h[i * nDim + j];
    }
  if (maxStepSize <= 0.0) {
    printf("stepVector_Eigen: invalid range of maxStepSize");
    exit(-1);
  }
  r = 0;
  for (i = 0; i < nDim; i++)
    r += dR[i] * dR[i];
  r = sqrt(r);
  if (r > maxStepSize)
    for (i = 0; i < nDim; i++)
      dR[i] = dR[i] * maxStepSize / r;
  for (i = 0; i < nDim; i++)
    gL[i] = g[i] + gamma * J[i];
  free(I);
  free(h);
  free(e);
  free(alpha);
  free(beta);
}
```