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

```asm
<kernel_dtrinv_4x4_lib4>:
  endbr64
  push   %r15
  pxor   %xmm1,%xmm1
  mov    %edi,%r11d
  mov    %rsi,%rdi
  push   %r14
  movapd %xmm1,%xmm9
  movapd %xmm1,%xmm11
  mov    %rdx,%r9
  push   %r13
  movapd %xmm1,%xmm14
  movapd %xmm1,%xmm8
  mov    %rcx,%r13
  push   %r12
  movapd %xmm1,%xmm15
  movapd %xmm1,%xmm12
  mov    %r8,%r12
  push   %rbp
  movapd %xmm1,%xmm13
  push   %rbx
  movsd  (%rsi),%xmm0
  movsd  (%rdx),%xmm2
  movsd  0x20(%rdx),%xmm5
  movsd  0x28(%rdx),%xmm4
  movsd  0x30(%rdx),%xmm3
  mulsd  %xmm0,%xmm2
  movsd  0x38(%rdx),%xmm6
  subsd  %xmm2,%xmm9
  movsd  0x8(%rdx),%xmm2
  mulsd  %xmm0,%xmm2
  subsd  %xmm2,%xmm11
  movsd  0x10(%rdx),%xmm2
  mulsd  %xmm0,%xmm2
  mulsd  0x18(%rdx),%xmm0
  subsd  %xmm2,%xmm14
  movsd  0x20(%rsi),%xmm2
  subsd  %xmm0,%xmm8
  movsd  0x28(%rsi),%xmm0
  movapd %xmm2,%xmm7
  mulsd  %xmm5,%xmm7
  mulsd  %xmm0,%xmm5
  subsd  %xmm7,%xmm9
  movsd  0x40(%rdx),%xmm7
  subsd  %xmm5,%xmm15
  movapd %xmm2,%xmm5
  mulsd  %xmm4,%xmm5
  mulsd  %xmm0,%xmm4
  movq   %xmm9,%r10
  movapd %xmm1,%xmm9
  subsd  %xmm5,%xmm11
  movsd  0x50(%rdx),%xmm5
  subsd  %xmm4,%xmm12
  movapd %xmm2,%xmm4
  mulsd  %xmm3,%xmm4
  mulsd  %xmm6,%xmm2
  mulsd  %xmm0,%xmm3
  mulsd  %xmm6,%xmm0
  movsd  0x48(%rdx),%xmm6
  subsd  %xmm4,%xmm14
  movsd  0x40(%rsi),%xmm4
  subsd  %xmm2,%xmm8
  movsd  0x48(%rsi),%xmm2
  movapd %xmm4,%xmm10
  subsd  %xmm3,%xmm13
  movsd  0x58(%rdx),%xmm3
  mulsd  %xmm7,%xmm10
  subsd  %xmm0,%xmm9
  movsd  0x50(%rsi),%xmm0
  movq   %xmm8,%rax
  movq   %r10,%xmm8
  subsd  %xmm10,%xmm8
  movapd %xmm2,%xmm10
  mulsd  %xmm7,%xmm10
  mulsd  %xmm0,%xmm7
  movq   %xmm8,%r10
  movq   %rax,%xmm8
  subsd  %xmm10,%xmm15
  movapd %xmm1,%xmm10
  subsd  %xmm7,%xmm10
  movapd %xmm4,%xmm7
  mulsd  %xmm6,%xmm7
  movq   %xmm15,%rsi
  movapd %xmm1,%xmm15
  movq   %xmm10,%rcx
  movapd %xmm11,%xmm10
  movapd %xmm1,%xmm11
  subsd  %xmm7,%xmm10
  movapd %xmm2,%xmm7
  mulsd  %xmm6,%xmm7
  mulsd  %xmm0,%xmm6
  movq   %xmm10,%rdx
  movq   %r10,%xmm10
  subsd  %xmm7,%xmm12
  movsd  0x70(%r9),%xmm7
  subsd  %xmm6,%xmm15
  movapd %xmm4,%xmm6
  mulsd  %xmm5,%xmm6
  mulsd  %xmm3,%xmm4
  subsd  %xmm6,%xmm14
  movapd %xmm2,%xmm6
  mulsd  %xmm3,%xmm2
  subsd  %xmm4,%xmm8
  movsd  0x78(%r9),%xmm4
  mulsd  %xmm5,%xmm6
  mulsd  %xmm0,%xmm5
  mulsd  %xmm3,%xmm0
  movapd %xmm1,%xmm3
  movq   %xmm8,%rbp
  movsd  0x68(%r9),%xmm8
  subsd  %xmm2,%xmm9
  movsd  0x78(%rdi),%xmm2
  subsd  %xmm6,%xmm13
  movsd  0x60(%rdi),%xmm6
  subsd  %xmm5,%xmm11
  movsd  0x68(%rdi),%xmm5
  subsd  %xmm0,%xmm3
  movsd  0x60(%r9),%xmm0
  movq   %xmm9,%rbx
  movapd %xmm6,%xmm9
  mulsd  %xmm0,%xmm9
  movq   %xmm3,%r8
  movsd  0x70(%rdi),%xmm3
  subsd  %xmm9,%xmm10
  movapd %xmm5,%xmm9
  mulsd  %xmm0,%xmm9
  movq   %xmm10,%r10
  movq   %rsi,%xmm10
  subsd  %xmm9,%xmm10
  movapd %xmm3,%xmm9
  mulsd  %xmm0,%xmm9
  mulsd  %xmm2,%xmm0
  movsd  %xmm10,-0x20(%rsp)
  movq   %rcx,%xmm10
  subsd  %xmm9,%xmm10
  movapd %xmm0,%xmm9
  movapd %xmm1,%xmm0
  subsd  %xmm9,%xmm0
  movapd %xmm6,%xmm9
  mulsd  %xmm8,%xmm9
  movsd  %xmm10,-0x18(%rsp)
  movq   %rdx,%xmm10
  subsd  %xmm9,%xmm10
  movapd %xmm5,%xmm9
  mulsd  %xmm8,%xmm9
  subsd  %xmm9,%xmm12
  movapd %xmm3,%xmm9
  mulsd  %xmm8,%xmm9
  mulsd  %xmm2,%xmm8
  subsd  %xmm9,%xmm15
  movsd  %xmm15,-0x10(%rsp)
  movapd %xmm1,%xmm15
  subsd  %xmm8,%xmm15
  movapd %xmm6,%xmm8
  mulsd  %xmm7,%xmm8
  mulsd  %xmm4,%xmm6
  subsd  %xmm8,%xmm14
  movapd %xmm5,%xmm8
  mulsd  %xmm7,%xmm8
  mulsd  %xmm4,%xmm5
  movq   %xmm14,%rsi
  movq   %rbp,%xmm14
  subsd  %xmm6,%xmm14
  subsd  %xmm8,%xmm13
  movapd %xmm3,%xmm8
  mulsd  %xmm7,%xmm8
  mulsd  %xmm2,%xmm7
  mulsd  %xmm4,%xmm2
  movq   %xmm13,%rcx
  movapd %xmm1,%xmm13
  mulsd  %xmm4,%xmm3
  subsd  %xmm8,%xmm11
  subsd  %xmm7,%xmm13
  subsd  %xmm2,%xmm1
  movq   %xmm11,%rdx
  movq   %xmm13,%rax
  movq   %rbx,%xmm13
  subsd  %xmm5,%xmm13
  movq   %r8,%xmm5
  movapd %xmm1,%xmm11
  subsd  %xmm3,%xmm5
  cmp    $0x7,%r11d
  jle    L11
  lea    -0x8(%r11),%r8d
  mov    %r13,%r15
  lea    0x80(%rdi),%rbx
  mov    %rsi,%r11
  shr    $0x2,%r8d
  lea    0x80(%r9),%rbp
  movsd  %xmm14,-0x8(%rsp)
  mov    %r12,%r13
  add    $0x2,%r8d
  shl    $0x7,%r8
  lea    (%rdi,%r8,1),%r14
  movq   %xmm13,%rdi
  movapd %xmm5,%xmm13
  nopl   0x0(%rax,%rax,1)
L4:
  movsd  (%rbx),%xmm4
  movsd  0x0(%rbp),%xmm8
  movq   %r10,%xmm14
  sub    $0xffffffffffffff80,%rbx
  movsd  -0x78(%rbx),%xmm3
  movsd  -0x70(%rbx),%xmm2
  sub    $0xffffffffffffff80,%rbp
  movapd %xmm4,%xmm9
  movsd  -0x68(%rbx),%xmm1
  movsd  -0x78(%rbp),%xmm7
  mulsd  %xmm8,%xmm9
  movsd  -0x70(%rbp),%xmm5
  movsd  -0x68(%rbp),%xmm6
  subsd  %xmm9,%xmm14
  movapd %xmm3,%xmm9
  mulsd  %xmm8,%xmm9
  movq   %xmm14,%r10
  movsd  -0x20(%rsp),%xmm14
  subsd  %xmm9,%xmm14
  movapd %xmm2,%xmm9
  mulsd  %xmm8,%xmm9
  mulsd  %xmm1,%xmm8
  movq   %xmm14,%r9
  movsd  -0x18(%rsp),%xmm14
  subsd  %xmm9,%xmm14
  subsd  %xmm8,%xmm0
  movapd %xmm4,%xmm8
  mulsd  %xmm7,%xmm8
  movq   %xmm14,%r8
  movsd  -0x10(%rsp),%xmm14
  movsd  %xmm0,-0x20(%rsp)
  movq   %r10,%xmm0
  subsd  %xmm8,%xmm10
  movapd %xmm3,%xmm8
  mulsd  %xmm7,%xmm8
  subsd  %xmm8,%xmm12
  movq   %r11,%xmm8
  movapd %xmm12,%xmm9
  movapd %xmm2,%xmm12
  mulsd  %xmm7,%xmm12
  mulsd  %xmm1,%xmm7
  subsd  %xmm12,%xmm14
  subsd  %xmm7,%xmm15
  movapd %xmm4,%xmm7
  mulsd  %xmm5,%xmm7
  mulsd  %xmm6,%xmm4
  movapd %xmm15,%xmm12
  movq   %rcx,%xmm15
  subsd  %xmm7,%xmm8
  movapd %xmm3,%xmm7
  mulsd  %xmm5,%xmm7
  mulsd  %xmm6,%xmm3
  subsd  %xmm7,%xmm15
  movapd %xmm2,%xmm7
  mulsd  %xmm5,%xmm7
  mulsd  %xmm1,%xmm5
  mulsd  %xmm6,%xmm2
  movq   %xmm15,%rcx
  movq   %rdx,%xmm15
  mulsd  %xmm6,%xmm1
  movsd  -0x58(%rbp),%xmm6
  subsd  %xmm7,%xmm15
  movq   %rax,%xmm7
  subsd  %xmm5,%xmm7
  movsd  -0x8(%rsp),%xmm5
  subsd  %xmm2,%xmm13
  movsd  -0x50(%rbx),%xmm2
  subsd  %xmm4,%xmm5
  movq   %rdi,%xmm4
  movq   %xmm15,%rdx
  subsd  %xmm3,%xmm4
  movq   %xmm7,%rax
  movsd  -0x60(%rbp),%xmm7
  movsd  -0x58(%rbx),%xmm3
  subsd  %xmm1,%xmm11
  movsd  -0x48(%rbx),%xmm1
  movq   %xmm5,%rsi
  movsd  -0x50(%rbp),%xmm5
  movq   %xmm4,%rdi
  movsd  -0x60(%rbx),%xmm4
  movq   %xmm11,%r12
  movsd  -0x48(%rbp),%xmm11
  movapd %xmm4,%xmm15
  mulsd  %xmm7,%xmm15
  subsd  %xmm15,%xmm0
  movapd %xmm3,%xmm15
  mulsd  %xmm7,%xmm15
  movq   %xmm0,%r10
  movq   %r9,%xmm0
  subsd  %xmm15,%xmm0
  movapd %xmm2,%xmm15
  mulsd  %xmm7,%xmm15
  mulsd  %xmm1,%xmm7
  movq   %xmm0,%r9
  movq   %r8,%xmm0
  subsd  %xmm15,%xmm0
  movq   %xmm0,%r8
  movsd  -0x20(%rsp),%xmm0
  subsd  %xmm7,%xmm0
  movapd %xmm4,%xmm7
  mulsd  %xmm6,%xmm7
  movq   %xmm0,%r11
  movq   %r10,%xmm0
  subsd  %xmm7,%xmm10
  movapd %xmm3,%xmm7
  mulsd  %xmm6,%xmm7
  subsd  %xmm7,%xmm9
  movapd %xmm2,%xmm7
  mulsd  %xmm6,%xmm7
  mulsd  %xmm1,%xmm6
  subsd  %xmm7,%xmm14
  movq   %rcx,%xmm7
  subsd  %xmm6,%xmm12
  movapd %xmm4,%xmm6
  mulsd  %xmm5,%xmm6
  mulsd  %xmm11,%xmm4
  movapd %xmm12,%xmm15
  subsd  %xmm6,%xmm8
  movapd %xmm3,%xmm6
  mulsd  %xmm5,%xmm6
  mulsd  %xmm11,%xmm3
  subsd  %xmm6,%xmm7
  movapd %xmm2,%xmm6
  mulsd  %xmm5,%xmm6
  mulsd  %xmm1,%xmm5
  mulsd  %xmm11,%xmm1
  movq   %xmm7,%rcx
  movq   %rdx,%xmm7
  mulsd  %xmm11,%xmm2
  movsd  -0x28(%rbp),%xmm11
  subsd  %xmm6,%xmm7
  movq   %rax,%xmm6
  subsd  %xmm5,%xmm6
  movq   %rsi,%xmm5
  subsd  %xmm4,%xmm5
  movq   %rdi,%xmm4
  subsd  %xmm3,%xmm4
  movq   %xmm7,%rdx
  movsd  -0x40(%rbp),%xmm7
  movq   %r12,%xmm3
  subsd  %xmm1,%xmm3
  subsd  %xmm2,%xmm13
  movsd  -0x30(%rbx),%xmm2
  movsd  -0x28(%rbx),%xmm1
  movq   %xmm6,%rax
  movsd  -0x38(%rbp),%xmm6
  movq   %xmm5,%rsi
  movsd  -0x30(%rbp),%xmm5
  movq   %xmm4,%rdi
  movsd  -0x40(%rbx),%xmm4
  movq   %xmm3,%r12
  movsd  -0x38(%rbx),%xmm3
  movapd %xmm4,%xmm12
  mulsd  %xmm7,%xmm12
  subsd  %xmm12,%xmm0
  movapd %xmm3,%xmm12
  mulsd  %xmm7,%xmm12
  movq   %xmm0,%r10
  movq   %r9,%xmm0
  subsd  %xmm12,%xmm0
  movapd %xmm2,%xmm12
  mulsd  %xmm7,%xmm12
  mulsd  %xmm1,%xmm7
  movq   %xmm0,%r9
  movq   %r8,%xmm0
  subsd  %xmm12,%xmm0
  movq   %xmm0,%r8
  movq   %r11,%xmm0
  subsd  %xmm7,%xmm0
  movapd %xmm4,%xmm7
  mulsd  %xmm6,%xmm7
  movq   %xmm0,%r11
  movq   %r10,%xmm0
  subsd  %xmm7,%xmm10
  movapd %xmm3,%xmm7
  mulsd  %xmm6,%xmm7
  subsd  %xmm7,%xmm9
  movapd %xmm2,%xmm7
  mulsd  %xmm6,%xmm7
  mulsd  %xmm1,%xmm6
  subsd  %xmm7,%xmm14
  movq   %rcx,%xmm7
  subsd  %xmm6,%xmm15
  movapd %xmm4,%xmm6
  mulsd  %xmm5,%xmm6
  mulsd  %xmm11,%xmm4
  subsd  %xmm6,%xmm8
  movapd %xmm3,%xmm6
  mulsd  %xmm5,%xmm6
  mulsd  %xmm11,%xmm3
  subsd  %xmm6,%xmm7
  movapd %xmm2,%xmm6
  mulsd  %xmm5,%xmm6
  mulsd  %xmm1,%xmm5
  mulsd  %xmm11,%xmm2
  movq   %xmm7,%rcx
  movq   %rdx,%xmm7
  mulsd  %xmm11,%xmm1
  subsd  %xmm6,%xmm7
  movq   %rax,%xmm6
  subsd  %xmm5,%xmm6
  movq   %rsi,%xmm5
  subsd  %xmm4,%xmm5
  movq   %rdi,%xmm4
  subsd  %xmm2,%xmm13
  subsd  %xmm3,%xmm4
  movq   %r12,%xmm2
  movsd  -0x18(%rbx),%xmm3
  movq   %xmm7,%rdx
  subsd  %xmm1,%xmm2
  movq   %xmm6,%rax
  movq   %xmm5,%rsi
  movq   %xmm4,%rdi
  movsd  -0x20(%rbx),%xmm4
  movq   %xmm2,%r12
  movsd  -0x10(%rbx),%xmm2
  movsd  -0x20(%rbp),%xmm7
  movapd %xmm4,%xmm12
  movsd  -0x8(%rbx),%xmm1
  movsd  -0x18(%rbp),%xmm6
  mulsd  %xmm7,%xmm12
  movsd  -0x10(%rbp),%xmm5
  movsd  -0x8(%rbp),%xmm11
  subsd  %xmm12,%xmm0
  movapd %xmm3,%xmm12
  mulsd  %xmm7,%xmm12
  movq   %xmm0,%r10
  movq   %r9,%xmm0
  subsd  %xmm12,%xmm0
  movapd %xmm2,%xmm12
  mulsd  %xmm7,%xmm12
  mulsd  %xmm1,%xmm7
  movsd  %xmm0,-0x20(%rsp)
  movq   %r8,%xmm0
  subsd  %xmm12,%xmm0
  movsd  %xmm0,-0x18(%rsp)
  movq   %r11,%xmm0
  subsd  %xmm7,%xmm0
  movapd %xmm4,%xmm7
  mulsd  %xmm6,%xmm7
  subsd  %xmm7,%xmm10
  movapd %xmm3,%xmm7
  mulsd  %xmm6,%xmm7
  subsd  %xmm7,%xmm9
  movapd %xmm2,%xmm7
  mulsd  %xmm6,%xmm7
  mulsd  %xmm1,%xmm6
  movapd %xmm9,%xmm12
  subsd  %xmm7,%xmm14
  movq   %rcx,%xmm7
  subsd  %xmm6,%xmm15
  movapd %xmm4,%xmm6
  mulsd  %xmm5,%xmm6
  mulsd  %xmm11,%xmm4
  movsd  %xmm14,-0x10(%rsp)
  subsd  %xmm6,%xmm8
  movapd %xmm3,%xmm6
  mulsd  %xmm5,%xmm6
  mulsd  %xmm11,%xmm3
  movq   %xmm8,%r11
  subsd  %xmm6,%xmm7
  movapd %xmm2,%xmm6
  mulsd  %xmm5,%xmm6
  mulsd  %xmm1,%xmm5
  mulsd  %xmm11,%xmm2
  movq   %xmm7,%rcx
  movq   %rdx,%xmm7
  mulsd  %xmm11,%xmm1
  movq   %r12,%xmm11
  subsd  %xmm6,%xmm7
  movq   %rax,%xmm6
  subsd  %xmm5,%xmm6
  movq   %rsi,%xmm5
  subsd  %xmm4,%xmm5
  movq   %rdi,%xmm4
  subsd  %xmm2,%xmm13
  subsd  %xmm3,%xmm4
  subsd  %xmm1,%xmm11
  movq   %xmm7,%rdx
  movq   %xmm6,%rax
  movsd  %xmm5,-0x8(%rsp)
  movq   %xmm4,%rdi
  cmp    %r14,%rbx
  jne    L4
  movq   %xmm13,%r14
  mov    %r13,%r12
  movq   %xmm8,%rsi
  mov    %r15,%r13
  movapd %xmm5,%xmm14
  movapd %xmm4,%xmm13
L13:
  movsd  (%r12),%xmm5
  movq   %r10,%xmm1
  movapd %xmm10,%xmm2
  movsd  -0x20(%rsp),%xmm9
  movsd  -0x18(%rsp),%xmm8
  mulsd  %xmm5,%xmm1
  mulsd  %xmm5,%xmm9
  mulsd  %xmm5,%xmm8
  mulsd  %xmm0,%xmm5
  movsd  %xmm1,0x0(%r13)
  movapd %xmm1,%xmm0
  movsd  %xmm9,0x8(%r13)
  movsd  %xmm8,0x10(%r13)
  movapd %xmm8,%xmm6
  movsd  %xmm5,0x18(%r13)
  movsd  0x8(%r12),%xmm4
  movsd  0x10(%r12),%xmm3
  movsd  %xmm1,-0x20(%rsp)
  movsd  -0x20(%rsp),%xmm10
  mulsd  %xmm4,%xmm0
  mulsd  %xmm4,%xmm6
  subsd  %xmm0,%xmm2
  movapd %xmm9,%xmm0
  mulsd  %xmm4,%xmm0
  mulsd  %xmm5,%xmm4
  mulsd  %xmm3,%xmm2
  subsd  %xmm0,%xmm12
  movsd  -0x10(%rsp),%xmm0
  subsd  %xmm6,%xmm0
  movapd %xmm4,%xmm6
  movapd %xmm15,%xmm4
  movsd  %xmm2,0x20(%r13)
  subsd  %xmm6,%xmm4
  movapd %xmm12,%xmm1
  movapd %xmm10,%xmm12
  mulsd  %xmm3,%xmm1
  movq   %rsi,%xmm15
  mulsd  %xmm3,%xmm0
  mulsd  %xmm4,%xmm3
  movsd  %xmm1,0x28(%r13)
  movsd  %xmm0,0x30(%r13)
  movsd  %xmm3,0x38(%r13)
  movsd  0x18(%r12),%xmm7
  movsd  0x20(%r12),%xmm6
  movsd  0x28(%r12),%xmm4
  mulsd  %xmm7,%xmm12
  subsd  %xmm12,%xmm15
  movapd %xmm9,%xmm12
  mulsd  %xmm7,%xmm12
  movq   %xmm15,%rsi
  movq   %rcx,%xmm15
  subsd  %xmm12,%xmm15
  movapd %xmm8,%xmm12
  mulsd  %xmm7,%xmm12
  mulsd  %xmm5,%xmm7
  movq   %xmm15,%rcx
  movq   %rdx,%xmm15
  subsd  %xmm12,%xmm15
  movapd %xmm7,%xmm12
  movq   %rax,%xmm7
  subsd  %xmm12,%xmm7
  movapd %xmm2,%xmm12
  mulsd  %xmm6,%xmm12
  movq   %xmm15,%rdx
  movq   %rsi,%xmm15
  subsd  %xmm12,%xmm15
  movapd %xmm1,%xmm12
  mulsd  %xmm6,%xmm12
  movq   %xmm15,%rsi
  movq   %rcx,%xmm15
  subsd  %xmm12,%xmm15
  movapd %xmm0,%xmm12
  mulsd  %xmm6,%xmm12
  mulsd  %xmm3,%xmm6
  movq   %xmm15,%rcx
  movq   %rdx,%xmm15
  subsd  %xmm12,%xmm15
  subsd  %xmm6,%xmm7
  movq   %rsi,%xmm6
  mulsd  %xmm4,%xmm6
  movq   %xmm6,%rsi
  movq   %rcx,%xmm6
  mulsd  %xmm4,%xmm6
  mov    %rsi,0x40(%r13)
  movq   %xmm6,%rcx
  movapd %xmm15,%xmm6
  movq   %r14,%xmm15
  mulsd  %xmm4,%xmm6
  mov    %rcx,0x48(%r13)
  mulsd  %xmm7,%xmm4
  movsd  %xmm6,0x50(%r13)
  movq   %xmm6,%rdx
  movsd  %xmm4,0x58(%r13)
  movsd  0x30(%r12),%xmm7
  movsd  0x38(%r12),%xmm6
  movsd  0x40(%r12),%xmm12
  mulsd  %xmm7,%xmm10
  movsd  %xmm6,-0x20(%rsp)
  movsd  0x48(%r12),%xmm6
  mulsd  %xmm7,%xmm9
  mulsd  %xmm7,%xmm8
  mulsd  %xmm5,%xmm7
  mulsd  %xmm12,%xmm4
  subsd  %xmm10,%xmm14
  subsd  %xmm9,%xmm13
  subsd  %xmm8,%xmm15
  subsd  %xmm7,%xmm11
  movsd  -0x20(%rsp),%xmm7
  movapd %xmm14,%xmm5
  mulsd  %xmm7,%xmm1
  mulsd  %xmm7,%xmm2
  mulsd  %xmm7,%xmm0
  mulsd  %xmm7,%xmm3
  subsd  %xmm1,%xmm13
  movq   %rsi,%xmm1
  mulsd  %xmm12,%xmm1
  subsd  %xmm2,%xmm5
  subsd  %xmm0,%xmm15
  subsd  %xmm3,%xmm11
  movapd %xmm5,%xmm0
  subsd  %xmm1,%xmm0
  movq   %rcx,%xmm1
  subsd  %xmm4,%xmm11
  mulsd  %xmm12,%xmm1
  mulsd  %xmm6,%xmm0
  subsd  %xmm1,%xmm13
  movq   %rdx,%xmm1
  mulsd  %xmm12,%xmm1
  movsd  %xmm0,0x60(%r13)
  mulsd  %xmm6,%xmm13
  subsd  %xmm1,%xmm15
  movsd  %xmm13,0x68(%r13)
  mulsd  %xmm6,%xmm15
  mulsd  %xmm11,%xmm6
  movsd  %xmm15,0x70(%r13)
  movsd  %xmm6,0x78(%r13)
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
  nopl   0x0(%rax)
L11:
  movq   %xmm5,%r14
  jmp    L13
```

assistant: ```c
void kernel_dtrinv_4x4_lib4(int kmax, double *A, double *B, double *C, double *fact) {
  const int bs = 4;
  int k;
  double a_0, a_1, a_2, a_3, b_0, b_1, b_2, b_3, c_00 = 0, c_01 = 0, c_02 = 0, c_03 = 0, c_10 = 0, c_11 = 0, c_12 = 0, c_13 = 0, c_20 = 0, c_21 = 0, c_22 = 0, c_23 = 0, c_30 = 0, c_31 = 0, c_32 = 0, c_33 = 0;
  a_0 = A[0 + bs * 0];
  b_0 = B[0 + bs * 0];
  b_1 = B[1 + bs * 0];
  b_2 = B[2 + bs * 0];
  b_3 = B[3 + bs * 0];
  c_00 -= a_0 * b_0;
  c_01 -= a_0 * b_1;
  c_02 -= a_0 * b_2;
  c_03 -= a_0 * b_3;
  a_0 = A[0 + bs * 1];
  a_1 = A[1 + bs * 1];
  b_0 = B[0 + bs * 1];
  b_1 = B[1 + bs * 1];
  b_2 = B[2 + bs * 1];
  b_3 = B[3 + bs * 1];
  c_00 -= a_0 * b_0;
  c_10 -= a_1 * b_0;
  c_01 -= a_0 * b_1;
  c_11 -= a_1 * b_1;
  c_02 -= a_0 * b_2;
  c_12 -= a_1 * b_2;
  c_03 -= a_0 * b_3;
  c_13 -= a_1 * b_3;
  a_0 = A[0 + bs * 2];
  a_1 = A[1 + bs * 2];
  a_2 = A[2 + bs * 2];
  b_0 = B[0 + bs * 2];
  b_1 = B[1 + bs * 2];
  b_2 = B[2 + bs * 2];
  b_3 = B[3 + bs * 2];
  c_00 -= a_0 * b_0;
  c_10 -= a_1 * b_0;
  c_20 -= a_2 * b_0;
  c_01 -= a_0 * b_1;
  c_11 -= a_1 * b_1;
  c_21 -= a_2 * b_1;
  c_02 -= a_0 * b_2;
  c_12 -= a_1 * b_2;
  c_22 -= a_2 * b_2;
  c_03 -= a_0 * b_3;
  c_13 -= a_1 * b_3;
  c_23 -= a_2 * b_3;
  a_0 = A[0 + bs * 3];
  a_1 = A[1 + bs * 3];
  a_2 = A[2 + bs * 3];
  a_3 = A[3 + bs * 3];
  b_0 = B[0 + bs * 3];
  b_1 = B[1 + bs * 3];
  b_2 = B[2 + bs * 3];
  b_3 = B[3 + bs * 3];
  c_00 -= a_0 * b_0;
  c_10 -= a_1 * b_0;
  c_20 -= a_2 * b_0;
  c_30 -= a_3 * b_0;
  c_01 -= a_0 * b_1;
  c_11 -= a_1 * b_1;
  c_21 -= a_2 * b_1;
  c_31 -= a_3 * b_1;
  c_02 -= a_0 * b_2;
  c_12 -= a_1 * b_2;
  c_22 -= a_2 * b_2;
  c_32 -= a_3 * b_2;
  c_03 -= a_0 * b_3;
  c_13 -= a_1 * b_3;
  c_23 -= a_2 * b_3;
  c_33 -= a_3 * b_3;
  A += 16;
  B += 16;
  k = 4;
  for (; k < kmax - 3; k += 4) {
    a_0 = A[0 + bs * 0];
    a_1 = A[1 + bs * 0];
    a_2 = A[2 + bs * 0];
    a_3 = A[3 + bs * 0];
    b_0 = B[0 + bs * 0];
    b_1 = B[1 + bs * 0];
    b_2 = B[2 + bs * 0];
    b_3 = B[3 + bs * 0];
    c_00 -= a_0 * b_0;
    c_10 -= a_1 * b_0;
    c_20 -= a_2 * b_0;
    c_30 -= a_3 * b_0;
    c_01 -= a_0 * b_1;
    c_11 -= a_1 * b_1;
    c_21 -= a_2 * b_1;
    c_31 -= a_3 * b_1;
    c_02 -= a_0 * b_2;
    c_12 -= a_1 * b_2;
    c_22 -= a_2 * b_2;
    c_32 -= a_3 * b_2;
    c_03 -= a_0 * b_3;
    c_13 -= a_1 * b_3;
    c_23 -= a_2 * b_3;
    c_33 -= a_3 * b_3;
    a_0 = A[0 + bs * 1];
    a_1 = A[1 + bs * 1];
    a_2 = A[2 + bs * 1];
    a_3 = A[3 + bs * 1];
    b_0 = B[0 + bs * 1];
    b_1 = B[1 + bs * 1];
    b_2 = B[2 + bs * 1];
    b_3 = B[3 + bs * 1];
    c_00 -= a_0 * b_0;
    c_10 -= a_1 * b_0;
    c_20 -= a_2 * b_0;
    c_30 -= a_3 * b_0;
    c_01 -= a_0 * b_1;
    c_11 -= a_1 * b_1;
    c_21 -= a_2 * b_1;
    c_31 -= a_3 * b_1;
    c_02 -= a_0 * b_2;
    c_12 -= a_1 * b_2;
    c_22 -= a_2 * b_2;
    c_32 -= a_3 * b_2;
    c_03 -= a_0 * b_3;
    c_13 -= a_1 * b_3;
    c_23 -= a_2 * b_3;
    c_33 -= a_3 * b_3;
    a_0 = A[0 + bs * 2];
    a_1 = A[1 + bs * 2];
    a_2 = A[2 + bs * 2];
    a_3 = A[3 + bs * 2];
    b_0 = B[0 + bs * 2];
    b_1 = B[1 + bs * 2];
    b_2 = B[2 + bs * 2];
    b_3 = B[3 + bs * 2];
    c_00 -= a_0 * b_0;
    c_10 -= a_1 * b_0;
    c_20 -= a_2 * b_0;
    c_30 -= a_3 * b_0;
    c_01 -= a_0 * b_1;
    c_11 -= a_1 * b_1;
    c_21 -= a_2 * b_1;
    c_31 -= a_3 * b_1;
    c_02 -= a_0 * b_2;
    c_12 -= a_1 * b_2;
    c_22 -= a_2 * b_2;
    c_32 -= a_3 * b_2;
    c_03 -= a_0 * b_3;
    c_13 -= a_1 * b_3;
    c_23 -= a_2 * b_3;
    c_33 -= a_3 * b_3;
    a_0 = A[0 + bs * 3];
    a_1 = A[1 + bs * 3];
    a_2 = A[2 + bs * 3];
    a_3 = A[3 + bs * 3];
    b_0 = B[0 + bs * 3];
    b_1 = B[1 + bs * 3];
    b_2 = B[2 + bs * 3];
    b_3 = B[3 + bs * 3];
    c_00 -= a_0 * b_0;
    c_10 -= a_1 * b_0;
    c_20 -= a_2 * b_0;
    c_30 -= a_3 * b_0;
    c_01 -= a_0 * b_1;
    c_11 -= a_1 * b_1;
    c_21 -= a_2 * b_1;
    c_31 -= a_3 * b_1;
    c_02 -= a_0 * b_2;
    c_12 -= a_1 * b_2;
    c_22 -= a_2 * b_2;
    c_32 -= a_3 * b_2;
    c_03 -= a_0 * b_3;
    c_13 -= a_1 * b_3;
    c_23 -= a_2 * b_3;
    c_33 -= a_3 * b_3;
    A += 16;
    B += 16;
  }
  double a_00, a_10, a_20, a_30, a_11, a_21, a_31, a_22, a_32, a_33;
  a_00 = fact[0];
  c_00 *= a_00;
  c_10 *= a_00;
  c_20 *= a_00;
  c_30 *= a_00;
  C[0 + bs * 0] = c_00;
  C[1 + bs * 0] = c_10;
  C[2 + bs * 0] = c_20;
  C[3 + bs * 0] = c_30;
  a_10 = fact[1];
  a_11 = fact[2];
  c_01 -= c_00 * a_10;
  c_11 -= c_10 * a_10;
  c_21 -= c_20 * a_10;
  c_31 -= c_30 * a_10;
  c_01 *= a_11;
  c_11 *= a_11;
  c_21 *= a_11;
  c_31 *= a_11;
  C[0 + bs * 1] = c_01;
  C[1 + bs * 1] = c_11;
  C[2 + bs * 1] = c_21;
  C[3 + bs * 1] = c_31;
  a_20 = fact[3];
  a_21 = fact[4];
  a_22 = fact[5];
  c_02 -= c_00 * a_20;
  c_12 -= c_10 * a_20;
  c_22 -= c_20 * a_20;
  c_32 -= c_30 * a_20;
  c_02 -= c_01 * a_21;
  c_12 -= c_11 * a_21;
  c_22 -= c_21 * a_21;
  c_32 -= c_31 * a_21;
  c_02 *= a_22;
  c_12 *= a_22;
  c_22 *= a_22;
  c_32 *= a_22;
  C[0 + bs * 2] = c_02;
  C[1 + bs * 2] = c_12;
  C[2 + bs * 2] = c_22;
  C[3 + bs * 2] = c_32;
  a_30 = fact[6];
  a_31 = fact[7];
  a_32 = fact[8];
  a_33 = fact[9];
  c_03 -= c_00 * a_30;
  c_13 -= c_10 * a_30;
  c_23 -= c_20 * a_30;
  c_33 -= c_30 * a_30;
  c_03 -= c_01 * a_31;
  c_13 -= c_11 * a_31;
  c_23 -= c_21 * a_31;
  c_33 -= c_31 * a_31;
  c_03 -= c_02 * a_32;
  c_13 -= c_12 * a_32;
  c_23 -= c_22 * a_32;
  c_33 -= c_32 * a_32;
  c_03 *= a_33;
  c_13 *= a_33;
  c_23 *= a_33;
  c_33 *= a_33;
  C[0 + bs * 3] = c_03;
  C[1 + bs * 3] = c_13;
  C[2 + bs * 3] = c_23;
  C[3 + bs * 3] = c_33;
}
```