user: Please show me the C implementation that matches the assembly code listed below:

```asm
<rfft8pt>:
  endbr64
  movss  (%rdi),%xmm4
  movss  0x20(%rdi),%xmm14
  movss  0x4(%rdi),%xmm3
  movss  0x24(%rdi),%xmm6
  movss  0x30(%rdi),%xmm15
  movss  0x10(%rdi),%xmm2
  movaps %xmm4,%xmm5
  subss  %xmm14,%xmm4
  movss  0x14(%rdi),%xmm0
  movss  0x34(%rdi),%xmm12
  addss  %xmm14,%xmm5
  movaps %xmm3,%xmm8
  addss  %xmm6,%xmm8
  subss  %xmm6,%xmm3
  movaps %xmm2,%xmm6
  movss  0x8(%rdi),%xmm1
  addss  %xmm15,%xmm2
  movaps %xmm0,%xmm14
  addss  %xmm12,%xmm0
  movss  0x28(%rdi),%xmm13
  subss  %xmm12,%xmm14
  subss  %xmm15,%xmm6
  movaps %xmm5,%xmm15
  movss  0xc(%rdi),%xmm7
  movaps %xmm8,%xmm12
  movss  0x2c(%rdi),%xmm9
  movss  0x18(%rdi),%xmm11
  addss  %xmm2,%xmm15
  subss  %xmm2,%xmm5
  movaps %xmm4,%xmm2
  movss  0x1c(%rdi),%xmm10
  addss  %xmm0,%xmm12
  subss  %xmm14,%xmm2
  subss  %xmm0,%xmm8
  movaps %xmm1,%xmm0
  subss  %xmm13,%xmm1
  addss  %xmm13,%xmm0
  addss  %xmm14,%xmm4
  movaps %xmm10,%xmm14
  movss  %xmm15,-0x18(%rsp)
  movss  %xmm12,-0x24(%rsp)
  movaps %xmm2,%xmm12
  movaps %xmm3,%xmm2
  subss  %xmm6,%xmm3
  addss  %xmm6,%xmm2
  movaps %xmm7,%xmm6
  subss  %xmm9,%xmm7
  addss  %xmm9,%xmm6
  movaps %xmm11,%xmm9
  movaps %xmm0,%xmm13
  addss  0x38(%rdi),%xmm11
  addss  0x3c(%rdi),%xmm10
  subss  0x3c(%rdi),%xmm14
  subss  0x38(%rdi),%xmm9
  addss  %xmm11,%xmm13
  subss  %xmm11,%xmm0
  movss  %xmm13,-0x20(%rsp)
  movss  -0x20(%rsp),%xmm11
  movaps %xmm6,%xmm13
  subss  %xmm10,%xmm6
  addss  %xmm10,%xmm13
  movss  -0x24(%rsp),%xmm10
  addss  %xmm15,%xmm11
  movaps %xmm4,%xmm15
  addss  %xmm4,%xmm4
  addss  %xmm13,%xmm10
  movss  %xmm13,-0x14(%rsp)
  movss  D8(%rip),%xmm13
  movss  %xmm11,-0x10(%rsp)
  movaps %xmm5,%xmm11
  addss  %xmm6,%xmm5
  subss  %xmm6,%xmm11
  movaps %xmm7,%xmm6
  addss  %xmm9,%xmm7
  movss  %xmm10,-0xc(%rsp)
  subss  %xmm9,%xmm6
  mulss  %xmm13,%xmm7
  movaps %xmm11,%xmm10
  movaps %xmm8,%xmm11
  addss  %xmm0,%xmm11
  subss  %xmm0,%xmm8
  movaps %xmm1,%xmm0
  addss  %xmm14,%xmm0
  mulss  %xmm13,%xmm6
  subss  %xmm14,%xmm1
  movss  D14(%rip),%xmm14
  movaps %xmm8,%xmm9
  mulss  %xmm13,%xmm0
  subss  %xmm11,%xmm9
  addss  %xmm8,%xmm11
  mulss  %xmm13,%xmm1
  subss  %xmm0,%xmm15
  addss  %xmm3,%xmm0
  addss  %xmm3,%xmm3
  subss  %xmm6,%xmm0
  subss  %xmm6,%xmm15
  subss  %xmm0,%xmm3
  movss  %xmm0,-0x1c(%rsp)
  subss  %xmm15,%xmm4
  movaps %xmm3,%xmm6
  movaps %xmm7,%xmm3
  movaps %xmm1,%xmm7
  addss  %xmm12,%xmm7
  addss  %xmm2,%xmm1
  movaps %xmm6,%xmm8
  addss  %xmm2,%xmm2
  addss  %xmm12,%xmm12
  subss  %xmm3,%xmm7
  addss  %xmm3,%xmm1
  movaps %xmm11,%xmm3
  mulss  %xmm13,%xmm3
  subss  %xmm1,%xmm2
  movaps %xmm1,%xmm0
  movaps %xmm10,%xmm1
  addss  %xmm5,%xmm1
  subss  %xmm5,%xmm10
  subss  %xmm7,%xmm12
  subss  %xmm0,%xmm8
  movaps %xmm3,%xmm5
  addss  %xmm6,%xmm0
  addss  %xmm1,%xmm5
  mulss  %xmm13,%xmm10
  addss  %xmm1,%xmm1
  movss  D33(%rip),%xmm13
  movaps %xmm8,%xmm6
  addss  %xmm8,%xmm8
  movaps %xmm5,%xmm11
  movaps %xmm9,%xmm5
  addss  %xmm9,%xmm9
  subss  %xmm3,%xmm5
  movaps %xmm4,%xmm3
  addss  %xmm7,%xmm3
  subss  %xmm4,%xmm7
  addss  %xmm10,%xmm11
  addss  %xmm10,%xmm5
  movaps %xmm7,%xmm10
  movaps %xmm0,%xmm7
  mulss  %xmm13,%xmm0
  movaps %xmm10,%xmm4
  subss  %xmm11,%xmm1
  mulss  %xmm14,%xmm7
  mulss  %xmm14,%xmm10
  mulss  %xmm13,%xmm4
  subss  %xmm0,%xmm6
  movss  -0x1c(%rsp),%xmm0
  addss  %xmm3,%xmm7
  addss  %xmm3,%xmm3
  addss  %xmm10,%xmm6
  movaps %xmm2,%xmm10
  addss  %xmm0,%xmm2
  addss  %xmm4,%xmm7
  subss  %xmm0,%xmm10
  movaps %xmm15,%xmm4
  movaps %xmm15,%xmm0
  addss  %xmm12,%xmm4
  subss  %xmm12,%xmm0
  movaps %xmm2,%xmm12
  mulss  %xmm13,%xmm12
  subss  %xmm7,%xmm3
  mulss  %xmm14,%xmm2
  movaps %xmm12,%xmm15
  movaps %xmm0,%xmm12
  mulss  %xmm13,%xmm0
  addss  %xmm4,%xmm15
  addss  %xmm4,%xmm4
  mulss  %xmm14,%xmm12
  movaps %xmm10,%xmm14
  addss  %xmm10,%xmm10
  subss  %xmm2,%xmm14
  addss  %xmm14,%xmm0
  addss  %xmm15,%xmm12
  movaps %xmm7,%xmm15
  movss  %xmm0,-0x1c(%rsp)
  movss  -0x10(%rsp),%xmm2
  movaps %xmm6,%xmm0
  movss  -0xc(%rsp),%xmm14
  subss  %xmm12,%xmm4
  subss  %xmm8,%xmm6
  movaps %xmm2,%xmm13
  subss  %xmm14,%xmm2
  addss  %xmm14,%xmm13
  movaps %xmm2,%xmm14
  movss  D0(%rip),%xmm2
  unpcklps %xmm14,%xmm13
  mulss  %xmm2,%xmm0
  mulss  %xmm2,%xmm15
  mulss  %xmm2,%xmm4
  mulss  %xmm2,%xmm1
  mulss  %xmm2,%xmm3
  mulss  %xmm2,%xmm6
  unpcklps %xmm0,%xmm15
  movaps %xmm11,%xmm0
  mulss  %xmm2,%xmm0
  movlhps %xmm15,%xmm13
  movups %xmm13,(%rdi)
  unpcklps %xmm6,%xmm3
  movaps %xmm0,%xmm13
  movaps %xmm5,%xmm0
  subss  %xmm9,%xmm5
  mulss  %xmm2,%xmm0
  mulss  %xmm2,%xmm5
  movaps %xmm0,%xmm15
  movaps %xmm12,%xmm0
  mulss  %xmm2,%xmm0
  unpcklps %xmm15,%xmm13
  unpcklps %xmm5,%xmm1
  movlhps %xmm3,%xmm1
  movups %xmm1,0x30(%rdi)
  movaps %xmm0,%xmm14
  movss  -0x1c(%rsp),%xmm0
  mulss  %xmm2,%xmm0
  unpcklps %xmm0,%xmm14
  movss  -0x1c(%rsp),%xmm0
  movlhps %xmm14,%xmm13
  movss  -0x14(%rsp),%xmm14
  subss  -0x24(%rsp),%xmm14
  subss  %xmm10,%xmm0
  movups %xmm13,0x10(%rdi)
  movss  -0x18(%rsp),%xmm13
  subss  -0x20(%rsp),%xmm13
  mulss  %xmm2,%xmm0
  unpcklps %xmm0,%xmm4
  movaps %xmm13,%xmm0
  unpcklps %xmm14,%xmm0
  movlhps %xmm4,%xmm0
  movups %xmm0,0x20(%rdi)
  ret
```

tool_calls: name: parse_data
arguments: data_label: D8
type: byte[4]
name: parse_data
arguments: data_label: D14
type: f32
name: parse_data
arguments: data_label: D33
type: f32
name: parse_data
arguments: data_label: D0
type: f32

tool: {"D8": [0xf3,0x04,0x35,0x3f]}

tool: D14: 0.9238795325112867

tool: D33: 0.3826834323650898

tool: D0: 0.5

assistant: ```c
void rfft8pt(float *ioptr) {
  float w0r = 1.0 / 1.414213562373095048801688724209698078569;
  float w1r = 0.9238795325112867561281831893967882868224;
  float w1i = 0.3826834323650897717284599840303988667613;
  float f0r, f0i, f1r, f1i, f2r, f2i, f3r, f3i;
  float f4r, f4i, f5r, f5i, f6r, f6i, f7r, f7i;
  float t0r, t0i, t1r, t1i;
  const float Two = 2.0;
  const float scale = 0.5;
  f0r = ioptr[0];
  f0i = ioptr[1];
  f1r = ioptr[8];
  f1i = ioptr[9];
  f2r = ioptr[4];
  f2i = ioptr[5];
  f3r = ioptr[12];
  f3i = ioptr[13];
  f4r = ioptr[2];
  f4i = ioptr[3];
  f5r = ioptr[10];
  f5i = ioptr[11];
  f6r = ioptr[6];
  f6i = ioptr[7];
  f7r = ioptr[14];
  f7i = ioptr[15];
  t0r = f0r + f1r;
  t0i = f0i + f1i;
  f1r = f0r - f1r;
  f1i = f0i - f1i;
  t1r = f2r - f3r;
  t1i = f2i - f3i;
  f2r = f2r + f3r;
  f2i = f2i + f3i;
  f0r = t0r + f2r;
  f0i = t0i + f2i;
  f2r = t0r - f2r;
  f2i = t0i - f2i;
  f3r = f1r - t1i;
  f3i = f1i + t1r;
  f1r = f1r + t1i;
  f1i = f1i - t1r;
  t0r = f4r + f5r;
  t0i = f4i + f5i;
  f5r = f4r - f5r;
  f5i = f4i - f5i;
  t1r = f6r - f7r;
  t1i = f6i - f7i;
  f6r = f6r + f7r;
  f6i = f6i + f7i;
  f4r = t0r + f6r;
  f4i = t0i + f6i;
  f6r = t0r - f6r;
  f6i = t0i - f6i;
  f7r = f5r - t1i;
  f7i = f5i + t1r;
  f5r = f5r + t1i;
  f5i = f5i - t1r;
  t0r = f0r - f4r;
  t0i = f4i - f0i;
  f0r = f0r + f4r;
  f0i = f0i + f4i;
  t1r = f2r - f6i;
  t1i = f2i + f6r;
  f2r = f2r + f6i;
  f2i = f2i - f6r;
  f4r = f1r - f5r * w0r - f5i * w0r;
  f4i = f1i + f5r * w0r - f5i * w0r;
  f1r = f1r * Two - f4r;
  f1i = f1i * Two - f4i;
  f6r = f3r + f7r * w0r - f7i * w0r;
  f6i = f3i + f7r * w0r + f7i * w0r;
  f3r = f3r * Two - f6r;
  f3i = f3i * Two - f6i;
  f5r = f0r + f0i;
  f5i = f0r - f0i;
  f0r = f2r + t1r;
  f0i = f2i - t1i;
  f7r = f2i + t1i;
  f7i = t1r - f2r;
  f2r = f0r + w0r * f7r + w0r * f7i;
  f2i = f0i - w0r * f7r + w0r * f7i;
  t1r = Two * f0r - f2r;
  t1i = f2i - Two * f0i;
  f0r = f1r + f6r;
  f0i = f1i - f6i;
  f7r = f1i + f6i;
  f7i = f6r - f1r;
  f1r = f0r + w1r * f7r + w1i * f7i;
  f1i = f0i - w1i * f7r + w1r * f7i;
  f6r = Two * f0r - f1r;
  f6i = f1i - Two * f0i;
  f0r = f3r + f4r;
  f0i = f3i - f4i;
  f7r = f3i + f4i;
  f7i = f4r - f3r;
  f3r = f0r + w1i * f7r + w1r * f7i;
  f3i = f0i - w1r * f7r + w1i * f7i;
  f4r = Two * f0r - f3r;
  f4i = f3i - Two * f0i;
  ioptr[8] = t0r;
  ioptr[9] = t0i;
  ioptr[0] = f5r;
  ioptr[1] = f5i;
  ioptr[4] = scale * f2r;
  ioptr[5] = scale * f2i;
  ioptr[12] = scale * t1r;
  ioptr[13] = scale * t1i;
  ioptr[2] = scale * f1r;
  ioptr[3] = scale * f1i;
  ioptr[6] = scale * f3r;
  ioptr[7] = scale * f3i;
  ioptr[10] = scale * f4r;
  ioptr[11] = scale * f4i;
  ioptr[14] = scale * f6r;
  ioptr[15] = scale * f6i;
}
```