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

```asm
<dct>:
  endbr64
  push   %r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x48,%rsp
  mov    %rdi,%r13
  mov    %rsi,%rbx
  mov    %edx,0x28(%rsp)
  mov    %rcx,%rsi
  mov    %rcx,0x10(%rsp)
  mov    $0x1,%eax
  mov    %edx,%ecx
  shl    %cl,%eax
  mov    %eax,%edi
  mov    %eax,0x2c(%rsp)
  mov    %eax,%r14d
  sar    %r14d
  cvttsd2si (%rsi),%eax
  cmp    %edi,%eax
  je     L34
  mov    $0x2,%eax
  shl    %cl,%eax
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  movsd  D15(%rip),%xmm1
  divsd  %xmm0,%xmm1
  movsd  %xmm1,0x8(%rsp)
  movslq %r14d,%rax
  mov    %rax,0x20(%rsp)
  shl    $0x3,%rax
  mov    %rax,0x18(%rsp)
  add    %rax,%rsi
  mov    %rsi,%rbp
  lea    (%rsi,%rax,1),%r12
  test   %r14d,%r14d
  jle    L0
  mov    %r14d,%eax
  lea    (%rsi,%rax,8),%r15
  pxor   %xmm5,%xmm5
  movsd  %xmm5,(%rsp)
L71:
  lea    0x38(%rsp),%rdi
  lea    0x30(%rsp),%rsi
  movsd  (%rsp),%xmm0
  call   <sincos@plt>
  movsd  0x30(%rsp),%xmm0
  movsd  0x38(%rsp),%xmm2
  add    $0x8,%rbp
  movapd %xmm0,%xmm1
  subsd  %xmm2,%xmm1
  mulsd  D25(%rip),%xmm1
  movsd  %xmm1,-0x8(%rbp)
  add    $0x8,%r12
  addsd  %xmm2,%xmm0
  mulsd  D25(%rip),%xmm0
  movsd  %xmm0,-0x8(%r12)
  movsd  (%rsp),%xmm3
  addsd  0x8(%rsp),%xmm3
  movsd  %xmm3,(%rsp)
  cmp    %r15,%rbp
  jne    L71
  movslq 0x2c(%rsp),%rax
  lea    -0x8(,%rax,8),%r15
  lea    0x0(%r13,%r15,1),%rbp
  mov    0x18(%rsp),%rax
  lea    (%rbx,%rax,1),%r12
L22:
  mov    %rbp,%rcx
  mov    %r13,%rdx
  mov    $0x0,%eax
L57:
  movsd  (%rdx),%xmm0
  movsd  %xmm0,(%rbx,%rax,8)
  movsd  (%rcx),%xmm0
  movsd  %xmm0,(%r12,%rax,8)
  add    $0x10,%rdx
  sub    $0x10,%rcx
  add    $0x1,%rax
  cmp    %eax,%r14d
  jg     L57
L60:
  mov    0x10(%rsp),%rdx
  mov    0x28(%rsp),%esi
  mov    %rbx,%rdi
  mov    $0x0,%eax
  call   <hartley@plt>
  movsd  (%rbx),%xmm0
  movsd  %xmm0,0x0(%r13)
  movsd  (%r12),%xmm0
  mov    0x18(%rsp),%rax
  movsd  %xmm0,0x0(%r13,%rax,1)
  mov    0x10(%rsp),%rdi
  mov    0x20(%rsp),%rcx
  lea    0x8(%rdi,%rcx,8),%rcx
  lea    (%rcx,%rax,1),%rsi
  lea    (%rbx,%r15,1),%rdx
  cmp    $0x1,%r14d
  jle    L24
  lea    -0x1(%r14),%edi
  mov    $0x0,%eax
L89:
  movsd  (%rcx,%rax,8),%xmm0
  mulsd  0x8(%rbx,%rax,8),%xmm0
  movsd  (%rsi,%rax,8),%xmm1
  mulsd  (%rdx),%xmm1
  addsd  %xmm1,%xmm0
  movsd  %xmm0,0x8(%r13,%rax,8)
  sub    $0x8,%rdx
  sub    $0x8,%rbp
  movsd  (%rsi,%rax,8),%xmm0
  mulsd  0x8(%rbx,%rax,8),%xmm0
  movsd  (%rcx,%rax,8),%xmm1
  mulsd  0x8(%rdx),%xmm1
  subsd  %xmm1,%xmm0
  movsd  %xmm0,0x8(%rbp)
  add    $0x1,%rax
  cmp    %rdi,%rax
  jne    L89
L24:
  add    $0x48,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L34:
  movslq 0x2c(%rsp),%rax
  lea    -0x8(,%rax,8),%r15
  lea    0x0(%r13,%r15,1),%rbp
  movslq %r14d,%rax
  mov    %rax,0x20(%rsp)
  shl    $0x3,%rax
  mov    %rax,0x18(%rsp)
  lea    (%rbx,%rax,1),%r12
  test   %r14d,%r14d
  jg     L22
  jmp    L60
L0:
  movslq 0x2c(%rsp),%rax
  lea    -0x8(,%rax,8),%r15
  lea    0x0(%r13,%r15,1),%rbp
  mov    0x18(%rsp),%rax
  lea    (%rbx,%rax,1),%r12
  jmp    L60
```

tool_calls: name: unpack_data
arguments: data_label: D15
data_type: f64
name: unpack_data
arguments: data_label: D25
data_type: f64

tool: D15: 3.141592652598793

tool: D25: 0.707106781186547

assistant: ```c
void dct(x, y, m, tab) double *x, *y, *tab;
int m;
{
  int n, n2, i;
  double *cp1, *cp2, *xp1, *xp2, *yp1, *yp2;
  double arg, delta_w;
  n = 1 << m;
  n2 = n >> 1;
  if ((int)(*tab) != n) {
    delta_w = 3.141592652598793 / (2 * n);
    cp1 = tab + n2;
    cp2 = cp1 + n2;
    arg = 0;
    for (i = 0; i < n2; i++) {
      *(cp1++) = (double)(cos(arg) - sin(arg)) * 0.707106781186547;
      *(cp2++) = (double)(cos(arg) + sin(arg)) * 0.707106781186547;
      arg += delta_w;
    }
  }
  xp1 = x;
  xp2 = x + (n - 1);
  yp1 = y;
  yp2 = y + n2;
  for (i = 0; i < n2; i++) {
    *(yp1++) = *xp1;
    *(yp2++) = *xp2;
    xp1 += 2;
    xp2 -= 2;
  }
  hartley(y, m, tab);
  *x = *y;
  *(x + n2) = *(y + n2);
  cp1 = tab + n2 + 1;
  cp2 = cp1 + n2;
  xp1 = x + 1;
  xp2 = x + (n - 1);
  yp1 = y + 1;
  yp2 = y + (n - 1);
  for (i = 1; i < n2; i++) {
    *(xp1++) = (*cp1) * (*yp1) + (*cp2) * (*yp2);
    *(xp2--) = (*cp2++) * (*yp1++) - (*cp1++) * (*yp2--);
  }
}
```