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

```asm
<main>:
  endbr64
  push   %r15
  mov    $0x63,%esi
  xor    %edi,%edi
  lea    D118(%rip),%r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  xor    %ebx,%ebx
  sub    $0x18,%rsp
  call   <vector@plt>
  mov    $0x63,%esi
  xor    %edi,%edi
  mov    %rax,%r12
  call   <vector@plt>
  mov    $0x63,%esi
  xor    %edi,%edi
  mov    %rax,%r14
  call   <vector@plt>
  mov    $0x63,%esi
  xor    %edi,%edi
  mov    %rax,%rbp
  call   <vector@plt>
  movss  D86(%rip),%xmm0
  mov    $0x11,%esi
  mov    %rbp,%rdi
  mov    %rax,%r13
  movss  %xmm0,0x0(%rbp)
  movss  %xmm0,(%rax)
  movss  D120(%rip),%xmm0
  movl   $0x0,0x4(%rbp)
  movl   $0x0,0x4(%rax)
  movss  %xmm0,0x8(%rbp)
  movss  %xmm0,0x8(%rax)
  movss  D21(%rip),%xmm0
  movl   $0x0,0xc(%rbp)
  movl   $0x0,0xc(%rax)
  movss  %xmm0,0x10(%rbp)
  movss  %xmm0,0x10(%rax)
  movss  D99(%rip),%xmm0
  movl   $0x0,0x14(%rbp)
  movl   $0x0,0x14(%rax)
  movss  %xmm0,0x18(%rbp)
  movss  %xmm0,0x18(%rax)
  movss  D63(%rip),%xmm0
  movl   $0x0,0x1c(%rbp)
  movl   $0x0,0x1c(%rax)
  movss  %xmm0,0x20(%rbp)
  movss  %xmm0,0x20(%rax)
  movss  D29(%rip),%xmm0
  movl   $0x0,0x24(%rbp)
  movl   $0x0,0x24(%rax)
  movss  %xmm0,0x28(%rbp)
  movss  %xmm0,0x28(%rax)
  movss  D57(%rip),%xmm0
  movl   $0x0,0x2c(%rbp)
  movl   $0x0,0x2c(%rax)
  movss  %xmm0,0x30(%rbp)
  movss  %xmm0,0x30(%rax)
  movss  D27(%rip),%xmm0
  movss  D114(%rip),%xmm1
  movl   $0x0,0x34(%rbp)
  movl   $0x0,0x34(%rax)
  movss  %xmm0,0x38(%rbp)
  movss  %xmm0,0x38(%rax)
  movss  D77(%rip),%xmm0
  movl   $0x0,0x3c(%rbp)
  movl   $0x0,0x3c(%rax)
  movss  %xmm0,0x40(%rbp)
  movss  %xmm0,0x40(%rax)
  movss  D216(%rip),%xmm0
  call   <pcshft@plt>
  mov    $0x11,%edx
  mov    %r12,%rsi
  mov    %rbp,%rdi
  call   <pccheb@plt>
  lea    D192(%rip),%rdi
  call   <puts@plt>
  nopl   0x0(%rax)
L10:
  pxor   %xmm0,%xmm0
  pxor   %xmm1,%xmm1
  mov    %ebx,%esi
  mov    %r15,%rdi
  cvtss2sd 0x0(%rbp,%rbx,4),%xmm0
  cvtss2sd (%r12,%rbx,4),%xmm1
  mov    $0x2,%eax
  add    $0x2,%rbx
  call   <printf@plt>
  cmp    $0x12,%rbx
  jne    L10
  mov    $0xd,%edx
  mov    %r14,%rsi
  mov    %r12,%rdi
  xor    %ebx,%ebx
  call   <chebpc@plt>
  movss  D35(%rip),%xmm1
  mov    $0xd,%esi
  mov    %r14,%rdi
  movss  D142(%rip),%xmm0
  call   <pcshft@plt>
  lea    D149(%rip),%rdi
  call   <puts@plt>
L2:
  pxor   %xmm0,%xmm0
  pxor   %xmm2,%xmm2
  mov    %ebx,%esi
  mov    %r15,%rdi
  cvtss2sd 0x0(%r13,%rbx,4),%xmm0
  cvtss2sd (%r14,%rbx,4),%xmm2
  movapd %xmm2,%xmm1
  addsd  D106(%rip),%xmm0
  mov    $0x2,%eax
  add    $0x2,%rbx
  divsd  %xmm0,%xmm1
  movapd %xmm2,%xmm0
  call   <printf@plt>
  cmp    $0xe,%rbx
  jne    L2
  lea    D148(%rip),%rdi
  xor    %r15d,%r15d
  lea    D107(%rip),%rbx
  call   <puts@plt>
  nopl   0x0(%rax,%rax,1)
L3:
  pxor   %xmm4,%xmm4
  movss  0x8(%r14),%xmm2
  pxor   %xmm3,%xmm3
  addss  (%r14),%xmm3
  cvtsi2ss %r15d,%xmm4
  pxor   %xmm1,%xmm1
  addss  0x0(%r13),%xmm1
  movss  0x10(%r14),%xmm5
  mulss  D156(%rip),%xmm4
  add    $0x1,%r15d
  divss  D127(%rip),%xmm4
  subss  D35(%rip),%xmm4
  movaps %xmm4,%xmm0
  movss  %xmm4,0x4(%rsp)
  mulss  %xmm4,%xmm0
  mulss  %xmm0,%xmm2
  addss  %xmm3,%xmm2
  movss  0x8(%r13),%xmm3
  mulss  %xmm0,%xmm3
  addss  %xmm1,%xmm3
  movaps %xmm0,%xmm1
  mulss  %xmm0,%xmm1
  mulss  %xmm1,%xmm5
  addss  %xmm2,%xmm5
  movss  0x10(%r13),%xmm2
  mulss  %xmm1,%xmm2
  mulss  %xmm0,%xmm1
  addss  %xmm3,%xmm2
  movss  0x18(%r14),%xmm3
  mulss  %xmm1,%xmm3
  addss  %xmm5,%xmm3
  movss  0x18(%r13),%xmm5
  mulss  %xmm1,%xmm5
  mulss  %xmm0,%xmm1
  addss  %xmm2,%xmm5
  movss  0x20(%r14),%xmm2
  mulss  %xmm1,%xmm2
  addss  %xmm3,%xmm2
  movss  0x20(%r13),%xmm3
  mulss  %xmm1,%xmm3
  mulss  %xmm0,%xmm1
  addss  %xmm5,%xmm3
  movss  0x28(%r14),%xmm5
  mulss  %xmm1,%xmm0
  mulss  %xmm1,%xmm5
  addss  %xmm2,%xmm5
  movss  0x28(%r13),%xmm2
  mulss  %xmm1,%xmm2
  addss  %xmm3,%xmm2
  movss  0x30(%r14),%xmm3
  mulss  %xmm0,%xmm3
  mulss  0x30(%r13),%xmm0
  addss  %xmm5,%xmm3
  addss  %xmm0,%xmm2
  movaps %xmm4,%xmm0
  movss  %xmm3,0xc(%rsp)
  movss  %xmm2,0x8(%rsp)
  call   <cos@plt>
  movss  0xc(%rsp),%xmm3
  pxor   %xmm1,%xmm1
  mov    %rbx,%rdi
  movss  0x8(%rsp),%xmm2
  movss  0x4(%rsp),%xmm4
  cvtss2sd %xmm0,%xmm1
  mov    $0x4,%eax
  subss  %xmm0,%xmm3
  subss  %xmm0,%xmm2
  cvtss2sd %xmm4,%xmm4
  movapd %xmm4,%xmm0
  cvtss2sd %xmm3,%xmm3
  cvtss2sd %xmm2,%xmm2
  call   <printf@plt>
  cmp    $0x10,%r15d
  jne    L3
  mov    %r13,%rdi
  mov    $0x63,%edx
  xor    %esi,%esi
  call   <free_vector@plt>
  mov    %rbp,%rdi
  mov    $0x63,%edx
  xor    %esi,%esi
  call   <free_vector@plt>
  mov    %r14,%rdi
  mov    $0x63,%edx
  xor    %esi,%esi
  call   <free_vector@plt>
  mov    %r12,%rdi
  mov    $0x63,%edx
  xor    %esi,%esi
  call   <free_vector@plt>
  add    $0x18,%rsp
  xor    %eax,%eax
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
```

tool_calls: name: retrieve_data
arguments: data_label: D118
type_guessed: string
name: retrieve_data
arguments: data_label: D86
type_guessed: f32
name: retrieve_data
arguments: data_label: D120
type_guessed: byte[4]
name: retrieve_data
arguments: data_label: D21
type_guessed: byte[4]
name: retrieve_data
arguments: data_label: D99
type_guessed: byte[4]
name: retrieve_data
arguments: data_label: D63
type_guessed: byte[4]
name: retrieve_data
arguments: data_label: D29
type_guessed: byte[4]
name: retrieve_data
arguments: data_label: D57
type_guessed: byte[4]
name: retrieve_data
arguments: data_label: D27
type_guessed: byte[4]
name: retrieve_data
arguments: data_label: D114
type_guessed: byte[4]
name: retrieve_data
arguments: data_label: D77
type_guessed: byte[4]
name: retrieve_data
arguments: data_label: D216
type_guessed: byte[4]
name: retrieve_data
arguments: data_label: D192
type_guessed: string
name: retrieve_data
arguments: data_label: D35
type_guessed: f32
name: retrieve_data
arguments: data_label: D142
type_guessed: byte[4]
name: retrieve_data
arguments: data_label: D149
type_guessed: string
name: retrieve_data
arguments: data_label: D106
type_guessed: byte[8]
name: retrieve_data
arguments: data_label: D148
type_guessed: string
name: retrieve_data
arguments: data_label: D107
type_guessed: string
name: retrieve_data
arguments: data_label: D156
type_guessed: byte[4]
name: retrieve_data
arguments: data_label: D127
type_guessed: byte[4]

tool: D118: %3d %15.6e %15.6e


tool: D86: 1

tool: {"D120": [0x00,0x00,0x00,0xbf]}

tool: {"D21": [0xab,0xaa,0x2a,0x3d]}

tool: {"D99": [0x61,0x0b,0xb6,0xba]}

tool: {"D63": [0x01,0x0d,0xd0,0x37]}

tool: {"D29": [0x7e,0xf2,0x93,0xb4]}

tool: {"D57": [0xc7,0x76,0x0f,0x31]}

tool: {"D27": [0xa6,0xcb,0x49,0xad]}

tool: {"D114": [0x83,0xf9,0xa2,0x3e]}

tool: {"D77": [0xa0,0x3f,0x57,0x29]}

tool: {"D216": [0x83,0xf9,0xa2,0xbe]}

tool: D192: Index, series, Chebyshev coefficients

tool: D35: 3.14159265

tool: {"D142": [0xdb,0x0f,0x49,0xc0]}

tool: D149: Index, new series, coefficient ratios

tool: {"D106": [0xa0,0xc2,0xeb,0xfe,0x4b,0x48,0xb4,0x39]}

tool: D148:       Point tested, function value, error power series, error Cheb.

tool: D107: check: %15.6e %15.6e %15.6e %15.6e


tool: {"D156": [0xdb,0x0f,0xc9,0x40]}

tool: {"D127": [0x00,0x00,0x70,0x41]}

assistant: ```c
int main(void) {
  int i, j;
  float a = (-3.14159265), b = 3.14159265, fac, f, sum, sume, py, py2, *c, *d, *e, *ee;
  c = vector(0, 100 - 1);
  d = vector(0, 100 - 1);
  e = vector(0, 100 - 1);
  ee = vector(0, 100 - 1);
  fac = 1.0;
  e[0] = ee[0] = 0.0;
  for (j = 0; j < 17; j++) {
    i = j & 3;
    if (i == 1 || i == 3)
      e[j] = 0.0;
    else if (i == 0)
      e[j] = 1.0 / fac;
    else
      e[j] = -1.0 / fac;
    fac *= (j + 1);
    ee[j] = e[j];
  }
  pcshft((-2.0 - b - a) / (b - a), (2.0 - b - a) / (b - a), e, 17);
  pccheb(e, c, 17);
  printf("Index, series, Chebyshev coefficients\n");
  for (j = 0; j < 17; j += 2)
    printf("%3d %15.6e %15.6e\n", j, e[j], c[j]);
  chebpc(c, d, 13);
  pcshft(a, b, d, 13);
  printf("Index, new series, coefficient ratios\n");
  for (j = 0; j < 13; j += 2) {
    printf("%3d %15.6e %15.6e\n", j, d[j], d[j] / (ee[j] + 1.0e-30));
  }
  printf("      Point tested, function value, error power series, error Cheb.\n");
  for (i = 0; i <= 15; i++) {
    py = a + i * (b - a) / (float)15;
    py2 = py * py;
    sum = sume = 0.0;
    fac = 1.0;
    for (j = 0; j < 13; j += 2) {
      sum += fac * d[j];
      sume += fac * ee[j];
      fac *= py2;
    }
    f = cos(py);
    printf("check: %15.6e %15.6e %15.6e %15.6e\n", py, f, sume - f, sum - f);
  }
  free_vector(ee, 0, 100 - 1);
  free_vector(e, 0, 100 - 1);
  free_vector(d, 0, 100 - 1);
  free_vector(c, 0, 100 - 1);
  return 0;
}
```