user: Converte this assembly snippet into its equivalent C code:

```asm
<mul_hermitian>:
  endbr64
  mov    %rdi,%rcx
  push   %r15
  mov    %edx,%edi
  mov    %rsi,%rax
  push   %r14
  sar    %edi
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  movss  (%rsi),%xmm0
  movslq %edi,%rbx
  mulss  (%rcx),%xmm0
  movss  %xmm0,(%rsi)
  lea    (%rsi,%rbx,4),%rsi
  movss  (%rsi),%xmm0
  mulss  (%rcx,%rbx,4),%xmm0
  movss  %xmm0,(%rsi)
  cmp    $0x1,%edi
  jle    L72
  movslq %edx,%rsi
  lea    -0x1(%rdi),%r8d
  lea    0x4(%rax),%rbp
  mov    %edi,%r9d
  mov    %rsi,-0x10(%rsp)
  shl    $0x2,%rsi
  mov    %r8,%r10
  neg    %r8
  lea    -0x8(%rsi),%r12
  lea    (%rsi,%r8,4),%r11
  shl    $0x2,%r9
  lea    (%rcx,%r12,1),%r14
  lea    -0x4(%rax,%rsi,1),%r8
  sub    %r14,%r8
  lea    0x8(%rcx),%r15
  lea    (%rax,%rsi,1),%r13
  add    $0x8,%r8
  cmp    $0x8,%r8
  mov    %rbp,%r8
  seta   %r14b
  sub    %r15,%r8
  cmp    $0x8,%r8
  seta   %r8b
  cmp    $0x2,%edi
  setne  %r15b
  and    %r15d,%r8d
  and    %r14d,%r8d
  cmp    %r9,%r11
  setge  %r14b
  cmp    %r13,%rbp
  setae  %r15b
  or     %r15d,%r14d
  lea    (%rcx,%r9,1),%r15
  and    %r14d,%r8d
  lea    (%rax,%r11,1),%r14
  cmp    %r14,%r15
  lea    0x4(%rcx),%r15
  setbe  %r14b
  cmp    %r15,%r13
  setbe  %r13b
  or     %r13d,%r14d
  test   %r14b,%r8b
  je     L61
  add    %rax,%r9
  add    %rcx,%r11
  cmp    %r11,%r9
  lea    (%rcx,%rsi,1),%r9
  setbe  %r8b
  cmp    %r9,%rbp
  setae  %r9b
  or     %r9b,%r8b
  je     L61
  lea    -0x2(%rdi),%r8d
  cmp    $0x2,%r8d
  jbe    L6
  mov    %r10d,%r8d
  sub    $0x10,%rsi
  xor    %r9d,%r9d
  shr    $0x2,%r8d
  lea    (%rcx,%rsi,1),%rbx
  add    %rax,%rsi
  lea    -0x1(%r8),%r11d
  mov    $0x4,%r8d
  shl    $0x4,%r11
  add    $0x14,%r11
  nopl   (%rax)
L24:
  movups (%rcx,%r8,1),%xmm1
  movups (%rax,%r8,1),%xmm4
  movups (%rbx,%r9,1),%xmm0
  movups (%rsi,%r9,1),%xmm3
  movaps %xmm1,%xmm2
  movaps %xmm4,%xmm5
  shufps $0x1b,%xmm0,%xmm0
  shufps $0x1b,%xmm3,%xmm3
  mulps  %xmm0,%xmm5
  mulps  %xmm3,%xmm2
  mulps  %xmm4,%xmm1
  mulps  %xmm3,%xmm0
  addps  %xmm5,%xmm2
  subps  %xmm0,%xmm1
  shufps $0x1b,%xmm2,%xmm2
  movups %xmm2,(%rsi,%r9,1)
  sub    $0x10,%r9
  movups %xmm1,(%rax,%r8,1)
  add    $0x10,%r8
  cmp    %r11,%r8
  jne    L24
  mov    %r10d,%esi
  and    $0xfffffffc,%esi
  lea    0x1(%rsi),%r8d
  cmp    %esi,%r10d
  je     L72
  sub    %esi,%edi
  lea    -0x1(%rdi),%r10d
  cmp    $0x2,%edi
  je     L22
L45:
  lea    0x1(%rsi),%r11
  neg    %rsi
  lea    (%r12,%rsi,4),%r9
  lea    (%rax,%r11,4),%rdi
  movq   (%rcx,%r11,4),%xmm0
  lea    (%rax,%r9,1),%rsi
  movq   (%rdi),%xmm4
  movq   (%rcx,%r9,1),%xmm1
  movq   (%rsi),%xmm3
  movaps %xmm0,%xmm2
  mulps  %xmm4,%xmm0
  shufps $0xe1,%xmm1,%xmm1
  movaps %xmm4,%xmm5
  mulps  %xmm1,%xmm5
  shufps $0xe1,%xmm3,%xmm3
  mulps  %xmm3,%xmm2
  mulps  %xmm3,%xmm1
  addps  %xmm5,%xmm2
  subps  %xmm1,%xmm0
  shufps $0xe1,%xmm2,%xmm2
  movlps %xmm2,(%rsi)
  mov    %r10d,%esi
  and    $0xfffffffe,%esi
  movlps %xmm0,(%rdi)
  add    %esi,%r8d
  cmp    %esi,%r10d
  je     L72
L22:
  movslq %r8d,%rsi
  sub    %r8d,%edx
  movss  (%rcx,%rsi,4),%xmm0
  movslq %edx,%rdx
  lea    (%rax,%rsi,4),%rsi
  movss  (%rsi),%xmm4
  lea    (%rax,%rdx,4),%rax
  movss  (%rcx,%rdx,4),%xmm1
  movss  (%rax),%xmm3
  movaps %xmm0,%xmm2
  mulss  %xmm4,%xmm0
  movaps %xmm4,%xmm5
  mulss  %xmm1,%xmm5
  mulss  %xmm3,%xmm2
  mulss  %xmm3,%xmm1
  addss  %xmm5,%xmm2
  subss  %xmm1,%xmm0
  movss  %xmm2,(%rax)
  movss  %xmm0,(%rsi)
L72:
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
  nopl   0x0(%rax,%rax,1)
L61:
  mov    -0x10(%rsp),%rdi
  mov    $0x1,%edx
  lea    -0x4(,%rdi,4),%rsi
  nopw   0x0(%rax,%rax,1)
L5:
  movss  (%rcx,%rdx,4),%xmm0
  movss  (%rax,%rdx,4),%xmm4
  movss  (%rcx,%rsi,1),%xmm1
  movss  (%rax,%rsi,1),%xmm3
  movaps %xmm0,%xmm2
  movaps %xmm4,%xmm5
  mulss  %xmm1,%xmm5
  mulss  %xmm3,%xmm2
  mulss  %xmm4,%xmm0
  mulss  %xmm3,%xmm1
  addss  %xmm5,%xmm2
  subss  %xmm1,%xmm0
  movss  %xmm2,(%rax,%rsi,1)
  sub    $0x4,%rsi
  movss  %xmm0,(%rax,%rdx,4)
  add    $0x1,%rdx
  cmp    %rbx,%rdx
  jne    L5
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L6:
  xor    %esi,%esi
  mov    $0x1,%r8d
  jmp    L45
```

assistant: ```c
void mul_hermitian(float *a, float *b, int n) {
  int k, half = n >> 1;
  register float c, d, e, f;
  b[0] *= a[0];
  b[half] *= a[half];
  for (k = 1; k < half; k++) {
    c = a[k];
    d = b[k];
    e = a[n - k];
    f = b[n - k];
    b[n - k] = c * f + d * e;
    b[k] = c * d - e * f;
  }
}
```