user: 提供的汇编代码用C语言表示会是什么样子：

```asm
<spatial_to_frequency>:
  endbr64
  push   %r15
  pxor   %xmm6,%xmm6
  push   %r14
  push   %r13
  mov    %esi,%r13d
  push   %r12
  mov    %edx,%r12d
  push   %rbp
  xor    %ebp,%ebp
  push   %rbx
  mov    %rdi,%rbx
  sub    $0x28,%rsp
  movsd  %xmm6,0x8(%rsp)
  nopw   0x0(%rax,%rax,1)
L96:
  test   %ebp,%ebp
  je     L68
L97:
  xor    %r14d,%r14d
  jmp    L71
  nopl   (%rax)
L83:
  mov    %ebp,%esi
  mov    %r13d,%edi
  call   <DCT_cosine@plt>
  mov    %r14d,%esi
  mov    %r12d,%edi
  movsd  %xmm0,0x10(%rsp)
  call   <DCT_cosine@plt>
  movapd %xmm0,%xmm1
  pxor   %xmm0,%xmm0
  cvtsi2sdl (%rbx,%r14,4),%xmm0
  mulsd  0x10(%rsp),%xmm0
  mulsd  %xmm1,%xmm0
  addsd  0x8(%rsp),%xmm0
  movsd  %xmm0,0x8(%rsp)
  cmp    $0x7,%r14
  je     L34
L25:
  add    $0x1,%r14
L71:
  test   %r14,%r14
  jne    L83
  mov    $0x2,%edi
  call   <sqrt@plt>
  mov    %ebp,%esi
  mov    %r13d,%edi
  mov    %eax,0x10(%rsp)
  call   <DCT_cosine@plt>
  mov    %r14d,%esi
  mov    %r12d,%edi
  movsd  %xmm0,0x18(%rsp)
  call   <DCT_cosine@plt>
  mov    $0x1,%eax
  pxor   %xmm2,%xmm2
  cltd
  cvtsi2sdl (%rbx),%xmm2
  movapd %xmm0,%xmm1
  idivl  0x10(%rsp)
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  mulsd  %xmm2,%xmm0
  mulsd  0x18(%rsp),%xmm0
  mulsd  %xmm1,%xmm0
  addsd  0x8(%rsp),%xmm0
  movsd  %xmm0,0x8(%rsp)
  jmp    L25
  nopl   0x0(%rax)
L34:
  add    $0x1,%ebp
  add    $0x20,%rbx
  cmp    $0x8,%ebp
  jne    L96
  mulsd  D4(%rip),%xmm0
  add    $0x28,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
  nop
L68:
  xor    %ebp,%ebp
  jmp    L39
  nopl   0x0(%rax)
L100:
  xor    %esi,%esi
  mov    %r13d,%edi
  call   <DCT_cosine@plt>
  mov    %ebp,%esi
  mov    %r12d,%edi
  movsd  %xmm0,0x18(%rsp)
  call   <DCT_cosine@plt>
  movapd %xmm0,%xmm1
  pxor   %xmm0,%xmm0
  cvtsi2sdl (%rbx,%rbp,4),%xmm0
  mulsd  0x10(%rsp),%xmm0
  mulsd  0x18(%rsp),%xmm0
  mulsd  %xmm1,%xmm0
  addsd  0x8(%rsp),%xmm0
  movsd  %xmm0,0x8(%rsp)
  cmp    $0x7,%ebp
  je     L27
L76:
  add    $0x1,%rbp
L39:
  mov    $0x2,%edi
  call   <sqrt@plt>
  pxor   %xmm5,%xmm5
  mov    %eax,%r8d
  mov    $0x1,%eax
  cltd
  idiv   %r8d
  cvtsi2sd %eax,%xmm5
  movsd  %xmm5,0x10(%rsp)
  test   %ebp,%ebp
  jne    L100
  mov    $0x2,%edi
  call   <sqrt@plt>
  xor    %esi,%esi
  mov    %r13d,%edi
  mov    %eax,%r15d
  call   <DCT_cosine@plt>
  xor    %esi,%esi
  mov    %r12d,%edi
  movsd  %xmm0,0x18(%rsp)
  call   <DCT_cosine@plt>
  mov    $0x1,%eax
  pxor   %xmm2,%xmm2
  cltd
  cvtsi2sdl (%rbx,%rbp,4),%xmm2
  movapd %xmm0,%xmm1
  idiv   %r15d
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  mulsd  0x10(%rsp),%xmm0
  mulsd  %xmm2,%xmm0
  mulsd  0x18(%rsp),%xmm0
  mulsd  %xmm1,%xmm0
  addsd  0x8(%rsp),%xmm0
  movsd  %xmm0,0x8(%rsp)
  jmp    L76
  nopw   0x0(%rax,%rax,1)
L27:
  add    $0x20,%rbx
  mov    $0x1,%ebp
  jmp    L97
```

tool_calls: name: disassemble_data
arguments: data_label: D4
type_infered: f64

tool: D4: 0.25

assistant: ```c
double spatial_to_frequency(int block_matrix[8][8], int x, int y) {
  int u, v;
  double F, cosine_x_result, cosine_y_result, Cu, Cv;
  F = 0;
  for (u = 0; u < 8; u++) {
    for (v = 0; v < 8; v++) {
      Cu = 1;
      Cv = 1;
      if (u == 0) {
        Cu = (1 / (sqrt(2)));
      }
      if (v == 0) {
        Cv = (1 / (sqrt(2)));
      }
      cosine_x_result = DCT_cosine(x, u);
      cosine_y_result = DCT_cosine(y, v);
      F += Cu * Cv * block_matrix[u][v] * cosine_x_result * cosine_y_result;
    }
  }
  F = (0.25) * F;
  return F;
}
```