user: Translate the below assembly code into C programming language:

```asm
<FFT>:
  endbr64
  push   %r15
  mov    %ecx,%r15d
  mov    %edi,%ecx
  push   %r14
  push   %r13
  mov    %edi,%r13d
  push   %r12
  mov    $0x1,%r12d
  push   %rbp
  shl    %cl,%r12d
  mov    %rdx,%rbp
  push   %rbx
  mov    %rsi,%rbx
  mov    %r12d,%esi
  sar    %esi
  sub    $0x18,%rsp
  cmp    $0x1,%r12d
  jle    L100
  lea    -0x2(%r12),%r8d
  mov    $0x1,%ecx
  xor    %edx,%edx
  add    $0x1,%r8
  nopl   0x0(%rax)
L150:
  mov    %esi,%eax
  cmp    %edx,%esi
  jg     L194
  xchg   %ax,%ax
L127:
  sub    %eax,%edx
  sar    %eax
  cmp    %eax,%edx
  jge    L127
L194:
  add    %eax,%edx
  cmp    %rcx,%r8
  je     L100
  cmp    %ecx,%edx
  jle    L170
  movslq %edx,%rax
  movss  (%rbx,%rcx,4),%xmm1
  movss  0x0(%rbp,%rcx,4),%xmm0
  shl    $0x2,%rax
  lea    (%rbx,%rax,1),%rdi
  add    %rbp,%rax
  movss  (%rdi),%xmm2
  movss  %xmm2,(%rbx,%rcx,4)
  movss  (%rax),%xmm2
  movss  %xmm2,0x0(%rbp,%rcx,4)
  movss  %xmm1,(%rdi)
  movss  %xmm0,(%rax)
L170:
  add    $0x1,%rcx
  jmp    L150
L100:
  test   %r13d,%r13d
  jle    L31
  pxor   %xmm7,%xmm7
  mov    $0x1,%r14d
  xor    %r9d,%r9d
  movss  D107(%rip),%xmm5
  movss  D40(%rip),%xmm8
  movaps %xmm7,%xmm6
  movss  D96(%rip),%xmm9
  movss  D22(%rip),%xmm10
  nopl   0x0(%rax)
L94:
  movslq %r14d,%r8
  add    %r14d,%r14d
  test   %r8d,%r8d
  jle    L122
  lea    0x0(,%r8,4),%rdx
  xor    %edi,%edi
  movaps %xmm7,%xmm4
  movslq %r14d,%rsi
  lea    (%rbx,%rdx,1),%rcx
  movaps %xmm8,%xmm0
  add    %rbp,%rdx
  nopw   0x0(%rax,%rax,1)
L137:
  mov    %rdi,%rax
  cmp    %edi,%r12d
  jle    L46
  nopl   0x0(%rax,%rax,1)
L125:
  movss  (%rcx,%rax,4),%xmm3
  movss  (%rdx,%rax,4),%xmm1
  movaps %xmm3,%xmm2
  movaps %xmm1,%xmm11
  mulss  %xmm0,%xmm2
  mulss  %xmm4,%xmm11
  mulss  %xmm4,%xmm3
  mulss  %xmm0,%xmm1
  subss  %xmm11,%xmm2
  addss  %xmm3,%xmm1
  movss  (%rbx,%rax,4),%xmm3
  subss  %xmm2,%xmm3
  movss  %xmm3,(%rcx,%rax,4)
  movss  0x0(%rbp,%rax,4),%xmm3
  subss  %xmm1,%xmm3
  movss  %xmm3,(%rdx,%rax,4)
  addss  (%rbx,%rax,4),%xmm2
  movss  %xmm2,(%rbx,%rax,4)
  addss  0x0(%rbp,%rax,4),%xmm1
  movss  %xmm1,0x0(%rbp,%rax,4)
  add    %rsi,%rax
  cmp    %eax,%r12d
  jg     L125
L46:
  movaps %xmm5,%xmm1
  movaps %xmm6,%xmm2
  add    $0x1,%rdi
  mulss  %xmm0,%xmm1
  mulss  %xmm4,%xmm2
  mulss  %xmm6,%xmm0
  mulss  %xmm5,%xmm4
  subss  %xmm2,%xmm1
  addss  %xmm0,%xmm4
  cmp    %rdi,%r8
  je     L122
  movaps %xmm1,%xmm0
  jmp    L137
  nopl   (%rax)
L122:
  movaps %xmm8,%xmm6
  subss  %xmm5,%xmm6
  mulss  %xmm9,%xmm6
  ucomiss %xmm6,%xmm7
  ja     L174
  sqrtss %xmm6,%xmm6
L55:
  addss  %xmm8,%xmm5
  mulss  %xmm9,%xmm5
  ucomiss %xmm5,%xmm7
  ja     L149
  sqrtss %xmm5,%xmm5
L109:
  cmp    $0x1,%r15d
  jne    L43
  xorps  %xmm10,%xmm6
L43:
  add    $0x1,%r9d
  cmp    %r9d,%r13d
  jne    L94
L31:
  cmp    $0x1,%r15d
  je     L116
L72:
  add    $0x18,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L116:
  pxor   %xmm1,%xmm1
  movss  D40(%rip),%xmm0
  cvtsi2ss %r12d,%xmm1
  divss  %xmm1,%xmm0
  test   %r12d,%r12d
  jle    L72
  movslq %r12d,%r12
  xor    %eax,%eax
L107:
  movss  (%rbx,%rax,4),%xmm1
  mulss  %xmm0,%xmm1
  movss  %xmm1,(%rbx,%rax,4)
  movss  0x0(%rbp,%rax,4),%xmm1
  mulss  %xmm0,%xmm1
  movss  %xmm1,0x0(%rbp,%rax,4)
  add    $0x1,%rax
  cmp    %r12,%rax
  jne    L107
  add    $0x18,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L149:
  movaps %xmm5,%xmm0
  mov    %r9d,0xc(%rsp)
  movss  %xmm6,0x8(%rsp)
  call   <sqrtf@plt>
  mov    0xc(%rsp),%r9d
  movss  0x8(%rsp),%xmm6
  movss  D22(%rip),%xmm10
  movss  D96(%rip),%xmm9
  movaps %xmm0,%xmm5
  pxor   %xmm7,%xmm7
  movss  D40(%rip),%xmm8
  jmp    L109
L174:
  movaps %xmm6,%xmm0
  mov    %r9d,0x8(%rsp)
  movss  %xmm5,0xc(%rsp)
  call   <sqrtf@plt>
  movss  0xc(%rsp),%xmm5
  mov    0x8(%rsp),%r9d
  movss  D22(%rip),%xmm10
  movss  D96(%rip),%xmm9
  movaps %xmm0,%xmm6
  pxor   %xmm7,%xmm7
  movss  D40(%rip),%xmm8
  jmp    L55
```

tool_calls: name: unpack_data
arguments: tag: D107
type: byte[4]
name: unpack_data
arguments: tag: D40
type: byte[4]
name: unpack_data
arguments: tag: D96
type: byte[4]
name: unpack_data
arguments: tag: D22
type: byte[4]

tool: {"D107": [0x00,0x00,0x80,0xbf]}

tool: {"D40": [0x00,0x00,0x80,0x3f]}

tool: {"D96": [0x00,0x00,0x00,0x3f]}

tool: {"D22": [0x00,0x00,0x00,0x80]}

assistant: ```c
void FFT(int m, float *x, float *y, int dir) {
  int n, i, i1, j, k, i2, l, l1, l2;
  float c1, c2, tx, ty, t1, t2, u1, u2, z;
  n = 1 << m;
  i2 = n >> 1;
  j = 0;
  for (i = 0; i < n - 1; i++) {
    if (i < j) {
      tx = x[i];
      ty = y[i];
      x[i] = x[j];
      y[i] = y[j];
      x[j] = tx;
      y[j] = ty;
    }
    k = i2;
    while (k <= j) {
      j -= k;
      k >>= 1;
    }
    j += k;
  }
  c1 = -1.0f;
  c2 = 0;
  l2 = 1;
  for (l = 0; l < m; l++) {
    l1 = l2;
    l2 <<= 1;
    u1 = 1.0f;
    u2 = 0;
    for (j = 0; j < l1; j++) {
      for (i = j; i < n; i += l2) {
        i1 = i + l1;
        t1 = u1 * x[i1] - u2 * y[i1];
        t2 = u1 * y[i1] + u2 * x[i1];
        x[i1] = x[i] - t1;
        y[i1] = y[i] - t2;
        x[i] += t1;
        y[i] += t2;
      }
      z = u1 * c1 - u2 * c2;
      u2 = u1 * c2 + u2 * c1;
      u1 = z;
    }
    c2 = sqrtf(0.5f * (1.0f - c1));
    c1 = sqrtf(0.5f * (1.0f + c1));
    if (dir == 1)
      c2 = -c2;
  }
  if (dir == 1) {
    float scale = 1.0f / n;
    for (i = 0; i < n; i++) {
      x[i] *= scale;
      y[i] *= scale;
    }
  }
}
```