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

```asm
<symeigen>:
  endbr64
  push   %r15
  mov    %rdi,%r11
  mov    %rsi,%rax
  movslq %edx,%rdi
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  mov    %edx,%ebx
  sub    $0x58,%rsp
  test   %edx,%edx
  jle    L0
  movsd  D18(%rip),%xmm0
  lea    0x0(,%rdi,8),%r8
  mov    %r11,%rsi
  xor    %ecx,%ecx
  cs nopw 0x0(%rax,%rax,1)
L181:
  xor    %edx,%edx
  nopw   0x0(%rax,%rax,1)
L51:
  cmp    %edx,%ecx
  je     L254
  movq   $0x0,(%rsi,%rdx,8)
  add    $0x1,%rdx
  cmp    %rdx,%rdi
  jne    L51
  add    $0x1,%ecx
  add    %r8,%rsi
  cmp    %ecx,%ebx
  jne    L181
L0:
  xor    %ecx,%ecx
  lea    0x0(,%rdi,8),%rdx
  test   %ebx,%ebx
  mov    %ebx,%r15d
  mov    %rcx,%rsi
  cmovs  %rdx,%rcx
  movq   D10(%rip),%xmm2
  mov    %rax,%r14
  cmovns %rdx,%rsi
  shl    $0x4,%rdi
  and    $0xfffffffe,%r15d
  mov    %rdi,0x38(%rsp)
  mov    %ebx,%edi
  mov    %rsi,0x20(%rsp)
  mov    %ebx,%esi
  imul   %r15d,%edi
  shr    %esi
  mov    %rcx,0x28(%rsp)
  lea    -0x1(%rsi),%ecx
  mov    %esi,0x34(%rsp)
  add    $0x1,%rcx
  mov    %edi,0x30(%rsp)
  shl    $0x4,%rcx
  mov    %rcx,0x18(%rsp)
L111:
  test   %ebx,%ebx
  jle    L54
  nopl   0x0(%rax)
L218:
  cmp    $0x1,%ebx
  je     L54
  lea    -0x2(%rbx),%r8d
  mov    %r14,%rcx
  mov    $0x1,%edi
  xor    %r12d,%r12d
  add    $0x2,%r8
  pxor   %xmm1,%xmm1
  xor    %ebp,%ebp
  nopw   0x0(%rax,%rax,1)
L175:
  lea    -0x1(%rdi),%esi
  mov    %rdi,%rax
  cs nopw 0x0(%rax,%rax,1)
L182:
  movsd  (%rcx,%rax,8),%xmm0
  andpd  %xmm2,%xmm0
  comisd %xmm1,%xmm0
  jbe    L87
  movapd %xmm0,%xmm1
  mov    %eax,%ebp
  mov    %esi,%r12d
L87:
  add    $0x1,%rax
  cmp    %eax,%ebx
  jg     L182
  add    $0x1,%rdi
  add    %rdx,%rcx
  cmp    %r8,%rdi
  jne    L175
  movsd  D4(%rip),%xmm5
  comisd %xmm1,%xmm5
  ja     L54
  mov    %ebx,%r13d
  mov    %ebx,%r10d
  mov    %r11,0x10(%rsp)
  imul   %ebp,%r10d
  mov    %rdx,0x8(%rsp)
  imul   %r12d,%r13d
  lea    (%r10,%rbp,1),%eax
  mov    %r10d,0x4(%rsp)
  lea    0x0(%r13,%r12,1),%ecx
  cltq
  movslq %ecx,%rcx
  movsd  (%r14,%rcx,8),%xmm1
  subsd  (%r14,%rax,8),%xmm1
  lea    0x0(%r13,%rbp,1),%eax
  cltq
  movsd  (%r14,%rax,8),%xmm0
  addsd  %xmm0,%xmm0
  cvttsd2si %xmm0,%edi
  movapd %xmm1,%xmm0
  call   <atan2@plt>
  lea    0x48(%rsp),%rdi
  lea    0x40(%rsp),%rsi
  mulsd  D44(%rip),%xmm0
  call   <sincos@plt>
  mov    0x20(%rsp),%rdx
  movslq %r12d,%rdi
  movslq %ebp,%rsi
  mov    0x28(%rsp),%r10
  lea    0x0(,%rdi,8),%rax
  lea    0x0(,%rsi,8),%rcx
  movsd  0x48(%rsp),%xmm5
  lea    (%rax,%rdx,1),%r9
  movsd  0x40(%rsp),%xmm3
  movq   D10(%rip),%xmm2
  lea    (%rcx,%r10,1),%r8
  movapd %xmm5,%xmm0
  xorpd  D1(%rip),%xmm0
  cmp    %r8,%r9
  lea    (%rax,%r10,1),%r9
  lea    (%rdx,%rcx,1),%r8
  mov    0x4(%rsp),%r10d
  setl   0x3(%rsp)
  cmp    %r9,%r8
  movzbl 0x3(%rsp),%r11d
  mov    0x8(%rsp),%rdx
  setl   %r9b
  or     %r11b,%r9b
  mov    0x10(%rsp),%r11
  je     L168
  lea    -0x1(%rbx),%r8d
  cmp    $0xc,%r8d
  jbe    L168
  movapd %xmm3,%xmm7
  movapd %xmm5,%xmm9
  movapd %xmm0,%xmm8
  xor    %esi,%esi
  mov    0x34(%rsp),%r8d
  mov    0x38(%rsp),%rdi
  add    %r14,%rax
  add    %r14,%rcx
  unpcklpd %xmm7,%xmm7
  unpcklpd %xmm9,%xmm9
  unpcklpd %xmm8,%xmm8
  nopl   0x0(%rax,%rax,1)
L261:
  movsd  (%rax),%xmm1
  movsd  (%rcx),%xmm4
  add    $0x1,%esi
  movhpd (%rax,%rdx,1),%xmm1
  movhpd (%rcx,%rdx,1),%xmm4
  movapd %xmm1,%xmm6
  movapd %xmm4,%xmm10
  mulpd  %xmm7,%xmm6
  mulpd  %xmm9,%xmm10
  mulpd  %xmm8,%xmm1
  mulpd  %xmm7,%xmm4
  addpd  %xmm10,%xmm6
  addpd  %xmm4,%xmm1
  movlpd %xmm1,(%rcx)
  movhpd %xmm1,(%rcx,%rdx,1)
  add    %rdi,%rcx
  movlpd %xmm6,(%rax)
  movhpd %xmm6,(%rax,%rdx,1)
  add    %rdi,%rax
  cmp    %r8d,%esi
  jne    L261
  cmp    %r15d,%ebx
  je     L100
  mov    0x30(%rsp),%esi
  movapd %xmm0,%xmm6
  movapd %xmm3,%xmm7
  lea    (%r12,%rsi,1),%eax
  cltq
  lea    (%r14,%rax,8),%rcx
  lea    0x0(%rbp,%rsi,1),%eax
  cltq
  movsd  (%rcx),%xmm1
  lea    (%r14,%rax,8),%rax
  movsd  (%rax),%xmm4
  mulsd  %xmm1,%xmm6
  mulsd  %xmm3,%xmm1
  mulsd  %xmm4,%xmm7
  mulsd  %xmm5,%xmm4
  addsd  %xmm7,%xmm6
  addsd  %xmm4,%xmm1
  movsd  %xmm6,(%rax)
  movsd  %xmm1,(%rcx)
L100:
  movslq %r10d,%rdi
  movslq %r13d,%r8
  lea    0x0(,%rdi,8),%rcx
  lea    0x0(,%r8,8),%rsi
  lea    0x10(%rcx),%rax
  lea    0x10(,%r8,8),%r9
  cmp    %rsi,%rax
  jle    L150
  cmp    %rcx,%r9
  jg     L160
L150:
  movapd %xmm3,%xmm4
  movapd %xmm5,%xmm6
  movapd %xmm0,%xmm7
  xor    %eax,%eax
  mov    0x18(%rsp),%r9
  lea    (%r14,%rsi,1),%r8
  unpcklpd %xmm4,%xmm4
  lea    (%r14,%rcx,1),%rdi
  unpcklpd %xmm6,%xmm6
  unpcklpd %xmm7,%xmm7
  nopw   0x0(%rax,%rax,1)
L154:
  movupd (%r8,%rax,1),%xmm1
  movupd (%rdi,%rax,1),%xmm8
  movapd %xmm4,%xmm10
  mulpd  %xmm8,%xmm10
  movapd %xmm1,%xmm9
  mulpd  %xmm7,%xmm9
  mulpd  %xmm4,%xmm1
  mulpd  %xmm6,%xmm8
  addpd  %xmm10,%xmm9
  addpd  %xmm8,%xmm1
  movups %xmm9,(%rdi,%rax,1)
  movups %xmm1,(%r8,%rax,1)
  add    $0x10,%rax
  cmp    %rax,%r9
  jne    L154
  cmp    %r15d,%ebx
  je     L101
  lea    0x0(%r13,%r15,1),%eax
  movapd %xmm0,%xmm9
  movapd %xmm3,%xmm10
  cltq
  lea    (%r14,%rax,8),%rdi
  lea    (%r10,%r15,1),%eax
  cltq
  movsd  (%rdi),%xmm1
  lea    (%r14,%rax,8),%rax
  movsd  (%rax),%xmm8
  mulsd  %xmm1,%xmm9
  mulsd  %xmm3,%xmm1
  mulsd  %xmm8,%xmm10
  mulsd  %xmm5,%xmm8
  addsd  %xmm10,%xmm9
  addsd  %xmm8,%xmm1
  movsd  %xmm9,(%rax)
  movsd  %xmm1,(%rdi)
L101:
  mov    0x18(%rsp),%rdi
  add    %r11,%rsi
  add    %r11,%rcx
  xor    %eax,%eax
  xchg   %ax,%ax
L16:
  movupd (%rsi,%rax,1),%xmm1
  movupd (%rcx,%rax,1),%xmm8
  movapd %xmm4,%xmm10
  mulpd  %xmm8,%xmm10
  movapd %xmm1,%xmm9
  mulpd  %xmm7,%xmm9
  mulpd  %xmm4,%xmm1
  mulpd  %xmm6,%xmm8
  addpd  %xmm10,%xmm9
  addpd  %xmm8,%xmm1
  movups %xmm9,(%rcx,%rax,1)
  movups %xmm1,(%rsi,%rax,1)
  add    $0x10,%rax
  cmp    %rax,%rdi
  jne    L16
  cmp    %r15d,%ebx
  je     L111
  add    %r15d,%r13d
  lea    (%r10,%r15,1),%eax
  movapd %xmm3,%xmm6
  movslq %r13d,%r13
  cltq
  lea    (%r11,%r13,8),%rcx
  lea    (%r11,%rax,8),%rax
  movsd  (%rcx),%xmm1
  movsd  (%rax),%xmm4
  mulsd  %xmm1,%xmm0
  mulsd  %xmm4,%xmm6
  mulsd  %xmm3,%xmm1
  mulsd  %xmm5,%xmm4
  addsd  %xmm6,%xmm0
  addsd  %xmm4,%xmm1
  movsd  %xmm0,(%rax)
  movsd  %xmm1,(%rcx)
  test   %ebx,%ebx
  jg     L218
L54:
  add    $0x58,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
  nopl   0x0(%rax)
L254:
  movsd  %xmm0,(%rsi,%rdx,8)
  add    $0x1,%rdx
  cmp    %rdi,%rdx
  jne    L51
  add    $0x1,%ecx
  add    %r8,%rsi
  cmp    %ecx,%ebx
  jne    L181
  jmp    L0
L160:
  lea    -0x1(%rbx),%ecx
  lea    (%r14,%r8,8),%rax
  mov    %rcx,%r9
  add    %r8,%rcx
  lea    0x8(%r14,%rcx,8),%rsi
  mov    %rdi,%rcx
  sub    %r8,%rcx
  nopl   (%rax)
L209:
  movsd  (%rax),%xmm1
  movsd  (%rax,%rcx,8),%xmm4
  movapd %xmm0,%xmm6
  movapd %xmm3,%xmm7
  mulsd  %xmm1,%xmm6
  mulsd  %xmm4,%xmm7
  mulsd  %xmm3,%xmm1
  mulsd  %xmm5,%xmm4
  addsd  %xmm7,%xmm6
  addsd  %xmm4,%xmm1
  movsd  %xmm6,(%rax,%rcx,8)
  add    $0x8,%rax
  movsd  %xmm1,-0x8(%rax)
  cmp    %rsi,%rax
  jne    L209
  mov    %r9d,%ecx
  lea    (%r11,%r8,8),%rax
  sub    %r8,%rdi
  add    %r8,%rcx
  lea    0x8(%r11,%rcx,8),%rcx
  cs nopw 0x0(%rax,%rax,1)
L85:
  movsd  (%rax),%xmm4
  movsd  (%rax,%rdi,8),%xmm1
  movapd %xmm4,%xmm7
  movapd %xmm1,%xmm6
  mulsd  %xmm3,%xmm6
  mulsd  %xmm0,%xmm7
  mulsd  %xmm5,%xmm1
  mulsd  %xmm3,%xmm4
  addsd  %xmm7,%xmm6
  addsd  %xmm4,%xmm1
  movsd  %xmm6,(%rax,%rdi,8)
  add    $0x8,%rax
  movsd  %xmm1,-0x8(%rax)
  cmp    %rax,%rcx
  jne    L85
  jmp    L111
L168:
  add    %r14,%rax
  xor    %ecx,%ecx
  sub    %rdi,%rsi
L267:
  movsd  (%rax),%xmm1
  movsd  (%rax,%rsi,8),%xmm4
  movapd %xmm0,%xmm6
  add    $0x1,%ecx
  movapd %xmm3,%xmm7
  mulsd  %xmm1,%xmm6
  mulsd  %xmm4,%xmm7
  mulsd  %xmm3,%xmm1
  mulsd  %xmm5,%xmm4
  addsd  %xmm7,%xmm6
  addsd  %xmm4,%xmm1
  movsd  %xmm6,(%rax,%rsi,8)
  movsd  %xmm1,(%rax)
  add    %rdx,%rax
  cmp    %ecx,%ebx
  jne    L267
  jmp    L100
```

tool_calls: name: retrieve_data
arguments: tag: D18
type_guessed: f32[2]
name: retrieve_data
arguments: tag: D10
type_guessed: qword
name: retrieve_data
arguments: tag: D4
type_guessed: byte[8]
name: retrieve_data
arguments: tag: D44
type_guessed: f64
name: retrieve_data
arguments: tag: D1
type_guessed: f32[4]

tool: {"D18": [0.0,1.875]}

tool: D10: 9223372036854775807

tool: {"D4": [0x95,0x64,0x79,0xe1,0x7f,0xfd,0xa5,0x3d]}

tool: D44: 0.5

tool: {"D1": [0.0,-0.0,0.0,0.0]}

assistant: ```c
void symeigen(double *out, double *cov, int support) {
  int i;
  int j;
  int k;
  for (i = 0; i < support; i++)
    for (j = 0; j < support; j++)
      out[i * support + j] = i == j;
  for (;;) {
    double mod = 0.;
    for (i = 0, j = 0, k = 0; k < support; k++) {
      int m;
      for (m = k + 1; m < support; m++) {
        double q;
        q = fabs(cov[k * support + m]);
        if (q > mod) {
          mod = q;
          i = k;
          j = m;
        }
      }
    }
    if (mod < 1E-11)
      break;
    {
      double th = 0.5 * atan2(2 * cov[i * support + j], cov[i * support + i] - cov[j * support + j]);
      double c = cos(th);
      double s = sin(th);
      for (k = 0; k < support; k++) {
        double t;
        t = c * cov[k * support + i] + s * cov[k * support + j];
        cov[k * support + j] = -s * cov[k * support + i] + c * cov[k * support + j];
        cov[k * support + i] = t;
      }
      for (k = 0; k < support; k++) {
        double t;
        t = c * cov[i * support + k] + s * cov[j * support + k];
        cov[j * support + k] = -s * cov[i * support + k] + c * cov[j * support + k];
        cov[i * support + k] = t;
      }
      for (k = 0; k < support; k++) {
        double t;
        t = c * out[i * support + k] + s * out[j * support + k];
        out[j * support + k] = -s * out[i * support + k] + c * out[j * support + k];
        out[i * support + k] = t;
      }
    }
  }
}
```