user: 下面的汇编指令对应的C源代码是什么：

```asm
<gsw_cabbeling>:
  endbr64
  sub    $0x68,%rsp
  movapd %xmm0,%xmm6
  movsd  %xmm0,0x10(%rsp)
  movsd  %xmm1,0x18(%rsp)
  movsd  %xmm2,0x8(%rsp)
  pxor   %xmm0,%xmm0
  ucomisd %xmm6,%xmm0
  ja     L16
  sqrtsd %xmm6,%xmm6
  movapd %xmm6,%xmm8
L13:
  movsd  0x18(%rsp),%xmm7
  movapd %xmm7,%xmm2
  mulsd  D782(%rip),%xmm2
  subsd  D49(%rip),%xmm2
  mulsd  %xmm7,%xmm2
  subsd  D956(%rip),%xmm2
  movsd  D987(%rip),%xmm9
  mulsd  %xmm7,%xmm9
  subsd  D374(%rip),%xmm9
  movapd %xmm7,%xmm0
  mulsd  D112(%rip),%xmm0
  subsd  D617(%rip),%xmm0
  mulsd  %xmm7,%xmm0
  movsd  D116(%rip),%xmm6
  addsd  %xmm6,%xmm0
  mulsd  %xmm7,%xmm0
  subsd  D745(%rip),%xmm0
  mulsd  %xmm8,%xmm0
  addsd  %xmm2,%xmm0
  movsd  0x10(%rsp),%xmm14
  movapd %xmm14,%xmm10
  mulsd  %xmm14,%xmm0
  movapd %xmm7,%xmm1
  mulsd  D535(%rip),%xmm1
  subsd  D610(%rip),%xmm1
  mulsd  %xmm7,%xmm1
  addsd  D123(%rip),%xmm1
  mulsd  %xmm7,%xmm1
  addsd  D257(%rip),%xmm1
  addsd  %xmm1,%xmm0
  movapd %xmm7,%xmm1
  mulsd  D512(%rip),%xmm1
  subsd  D396(%rip),%xmm1
  mulsd  %xmm7,%xmm1
  subsd  D165(%rip),%xmm1
  movsd  D173(%rip),%xmm13
  movapd %xmm14,%xmm3
  mulsd  %xmm13,%xmm3
  addsd  %xmm3,%xmm1
  movsd  0x8(%rsp),%xmm5
  mulsd  %xmm5,%xmm1
  movapd %xmm7,%xmm3
  mulsd  D736(%rip),%xmm3
  subsd  D358(%rip),%xmm3
  mulsd  %xmm7,%xmm3
  subsd  D966(%rip),%xmm3
  movapd %xmm14,%xmm4
  mulsd  %xmm9,%xmm4
  addsd  %xmm4,%xmm3
  addsd  %xmm3,%xmm1
  mulsd  %xmm5,%xmm1
  addsd  %xmm1,%xmm0
  movapd %xmm0,%xmm15
  movapd %xmm7,%xmm0
  mulsd  D303(%rip),%xmm0
  addsd  D821(%rip),%xmm0
  mulsd  %xmm7,%xmm0
  addsd  D589(%rip),%xmm0
  mulsd  %xmm7,%xmm0
  subsd  D898(%rip),%xmm0
  mulsd  %xmm7,%xmm0
  subsd  D1073(%rip),%xmm0
  movsd  D1087(%rip),%xmm11
  mulsd  %xmm11,%xmm10
  movapd %xmm7,%xmm1
  mulsd  D627(%rip),%xmm1
  subsd  D164(%rip),%xmm1
  mulsd  %xmm7,%xmm1
  subsd  D684(%rip),%xmm1
  mulsd  %xmm7,%xmm1
  addsd  D169(%rip),%xmm1
  mulsd  %xmm7,%xmm1
  subsd  D403(%rip),%xmm1
  mulsd  %xmm8,%xmm1
  movapd %xmm14,%xmm3
  mulsd  D894(%rip),%xmm3
  addsd  %xmm0,%xmm3
  addsd  %xmm3,%xmm1
  mulsd  %xmm14,%xmm1
  movapd %xmm7,%xmm3
  mulsd  D643(%rip),%xmm3
  addsd  D602(%rip),%xmm3
  mulsd  %xmm7,%xmm3
  subsd  D448(%rip),%xmm3
  mulsd  %xmm7,%xmm3
  addsd  D933(%rip),%xmm3
  mulsd  %xmm7,%xmm3
  movsd  D378(%rip),%xmm12
  addsd  %xmm12,%xmm3
  addsd  %xmm3,%xmm1
  movapd %xmm7,%xmm4
  mulsd  D822(%rip),%xmm4
  addsd  D459(%rip),%xmm4
  mulsd  %xmm7,%xmm4
  subsd  D286(%rip),%xmm4
  mulsd  %xmm7,%xmm4
  subsd  D787(%rip),%xmm4
  movsd  D161(%rip),%xmm3
  movapd %xmm7,%xmm5
  mulsd  %xmm3,%xmm5
  subsd  D948(%rip),%xmm5
  mulsd  %xmm14,%xmm5
  addsd  %xmm5,%xmm4
  movapd %xmm7,%xmm5
  mulsd  D1053(%rip),%xmm5
  subsd  D334(%rip),%xmm5
  addsd  %xmm10,%xmm5
  movapd %xmm7,%xmm14
  mulsd  %xmm7,%xmm5
  subsd  D344(%rip),%xmm5
  movsd  D582(%rip),%xmm7
  mulsd  %xmm7,%xmm14
  subsd  D186(%rip),%xmm14
  mulsd  0x8(%rsp),%xmm14
  addsd  %xmm14,%xmm5
  movsd  0x8(%rsp),%xmm14
  mulsd  %xmm14,%xmm5
  addsd  %xmm5,%xmm4
  movapd %xmm14,%xmm5
  mulsd  %xmm14,%xmm4
  addsd  %xmm4,%xmm1
  movsd  %xmm1,0x20(%rsp)
  movsd  D693(%rip),%xmm4
  movsd  0x18(%rsp),%xmm14
  mulsd  %xmm14,%xmm4
  subsd  D49(%rip),%xmm4
  movsd  %xmm4,0x28(%rsp)
  movapd %xmm14,%xmm4
  mulsd  D868(%rip),%xmm4
  subsd  D398(%rip),%xmm4
  mulsd  %xmm14,%xmm4
  addsd  %xmm6,%xmm4
  movsd  %xmm4,0x30(%rsp)
  movsd  D481(%rip),%xmm6
  mulsd  %xmm14,%xmm6
  movapd %xmm6,%xmm4
  subsd  D358(%rip),%xmm4
  movsd  D987(%rip),%xmm1
  mulsd  0x10(%rsp),%xmm1
  movapd %xmm1,%xmm6
  addsd  %xmm4,%xmm6
  movsd  D440(%rip),%xmm1
  mulsd  %xmm14,%xmm1
  movapd %xmm1,%xmm4
  subsd  D396(%rip),%xmm4
  mulsd  %xmm5,%xmm4
  addsd  %xmm4,%xmm6
  mulsd  %xmm5,%xmm6
  movapd %xmm14,%xmm4
  mulsd  D859(%rip),%xmm4
  subsd  D564(%rip),%xmm4
  mulsd  %xmm14,%xmm4
  addsd  D123(%rip),%xmm4
  movsd  0x30(%rsp),%xmm5
  mulsd  %xmm8,%xmm5
  addsd  0x28(%rsp),%xmm5
  mulsd  0x10(%rsp),%xmm5
  addsd  %xmm5,%xmm4
  addsd  %xmm4,%xmm6
  movapd %xmm14,%xmm4
  mulsd  D149(%rip),%xmm4
  addsd  D20(%rip),%xmm4
  movapd %xmm14,%xmm1
  mulsd  %xmm14,%xmm4
  addsd  D195(%rip),%xmm4
  mulsd  %xmm14,%xmm4
  subsd  D898(%rip),%xmm4
  movsd  %xmm4,0x38(%rsp)
  movapd %xmm14,%xmm4
  mulsd  D620(%rip),%xmm4
  subsd  D350(%rip),%xmm4
  mulsd  %xmm14,%xmm4
  subsd  D1082(%rip),%xmm4
  mulsd  %xmm14,%xmm4
  addsd  D169(%rip),%xmm4
  movsd  %xmm4,0x40(%rsp)
  movapd %xmm14,%xmm5
  mulsd  D856(%rip),%xmm5
  addsd  D395(%rip),%xmm5
  mulsd  %xmm14,%xmm5
  subsd  D286(%rip),%xmm5
  movsd  0x10(%rsp),%xmm4
  mulsd  %xmm3,%xmm4
  addsd  %xmm4,%xmm5
  movsd  D245(%rip),%xmm14
  movapd %xmm1,%xmm4
  mulsd  %xmm14,%xmm4
  subsd  D334(%rip),%xmm4
  addsd  %xmm10,%xmm4
  movsd  0x8(%rsp),%xmm10
  mulsd  %xmm10,%xmm7
  addsd  %xmm7,%xmm4
  mulsd  %xmm10,%xmm4
  addsd  %xmm4,%xmm5
  mulsd  %xmm10,%xmm5
  movapd %xmm1,%xmm10
  mulsd  D959(%rip),%xmm10
  addsd  D1000(%rip),%xmm10
  movapd %xmm1,%xmm7
  mulsd  %xmm1,%xmm10
  subsd  D234(%rip),%xmm10
  mulsd  %xmm1,%xmm10
  addsd  D933(%rip),%xmm10
  movsd  0x40(%rsp),%xmm4
  mulsd  %xmm8,%xmm4
  addsd  0x38(%rsp),%xmm4
  mulsd  0x10(%rsp),%xmm4
  addsd  %xmm4,%xmm10
  addsd  %xmm10,%xmm5
  movapd %xmm8,%xmm4
  mulsd  D544(%rip),%xmm4
  movsd  %xmm4,0x48(%rsp)
  movapd %xmm1,%xmm10
  mulsd  D1042(%rip),%xmm7
  subsd  D639(%rip),%xmm7
  mulsd  %xmm1,%xmm7
  addsd  D472(%rip),%xmm7
  mulsd  %xmm1,%xmm7
  subsd  D238(%rip),%xmm7
  movapd %xmm13,%xmm1
  movsd  0x8(%rsp),%xmm13
  mulsd  %xmm13,%xmm1
  movapd %xmm1,%xmm4
  addsd  %xmm9,%xmm4
  mulsd  %xmm13,%xmm4
  movapd %xmm7,%xmm1
  mulsd  %xmm8,%xmm1
  movapd %xmm1,%xmm9
  addsd  %xmm2,%xmm9
  addsd  %xmm9,%xmm4
  movapd %xmm10,%xmm2
  mulsd  D592(%rip),%xmm2
  subsd  D968(%rip),%xmm2
  movapd %xmm10,%xmm13
  mulsd  %xmm10,%xmm2
  subsd  D593(%rip),%xmm2
  mulsd  %xmm10,%xmm2
  addsd  D525(%rip),%xmm2
  mulsd  %xmm10,%xmm2
  subsd  D557(%rip),%xmm2
  movsd  0x8(%rsp),%xmm9
  mulsd  %xmm9,%xmm11
  movapd %xmm11,%xmm10
  addsd  %xmm3,%xmm10
  movapd %xmm2,%xmm3
  mulsd  %xmm8,%xmm3
  addsd  %xmm3,%xmm0
  movsd  D282(%rip),%xmm11
  mulsd  0x10(%rsp),%xmm11
  addsd  %xmm0,%xmm11
  movapd %xmm13,%xmm0
  mulsd  %xmm10,%xmm0
  subsd  D948(%rip),%xmm0
  mulsd  %xmm9,%xmm0
  addsd  %xmm0,%xmm11
  movapd %xmm8,%xmm1
  addsd  %xmm8,%xmm1
  movapd %xmm12,%xmm3
  divsd  %xmm1,%xmm3
  movsd  %xmm3,0x50(%rsp)
  movapd %xmm15,%xmm1
  movsd  0x20(%rsp),%xmm12
  mulsd  %xmm12,%xmm1
  movapd %xmm1,%xmm13
  movapd %xmm6,%xmm1
  divsd  %xmm15,%xmm1
  movapd %xmm1,%xmm0
  movapd %xmm4,%xmm3
  divsd  %xmm15,%xmm3
  movsd  %xmm3,0x58(%rsp)
  movapd %xmm15,%xmm1
  mulsd  %xmm5,%xmm1
  movapd %xmm1,%xmm9
  movapd %xmm12,%xmm1
  mulsd  %xmm6,%xmm1
  subsd  %xmm1,%xmm9
  movapd %xmm15,%xmm1
  mulsd  %xmm11,%xmm1
  movapd %xmm1,%xmm3
  movapd %xmm12,%xmm1
  mulsd  %xmm4,%xmm1
  subsd  %xmm1,%xmm3
  divsd  %xmm3,%xmm9
  movsd  0x18(%rsp),%xmm1
  movapd %xmm1,%xmm3
  mulsd  D456(%rip),%xmm3
  subsd  D1012(%rip),%xmm3
  movapd %xmm1,%xmm12
  mulsd  %xmm1,%xmm3
  subsd  D1082(%rip),%xmm3
  mulsd  %xmm8,%xmm3
  mulsd  D182(%rip),%xmm12
  addsd  D491(%rip),%xmm12
  mulsd  %xmm1,%xmm12
  addsd  D195(%rip),%xmm12
  addsd  %xmm12,%xmm3
  mulsd  0x10(%rsp),%xmm3
  movapd %xmm1,%xmm12
  mulsd  D249(%rip),%xmm12
  addsd  D621(%rip),%xmm12
  mulsd  %xmm1,%xmm12
  subsd  D234(%rip),%xmm12
  addsd  %xmm12,%xmm3
  movapd %xmm1,%xmm12
  mulsd  D125(%rip),%xmm12
  addsd  D395(%rip),%xmm12
  movsd  0x8(%rsp),%xmm1
  mulsd  %xmm1,%xmm14
  addsd  %xmm14,%xmm12
  mulsd  %xmm1,%xmm12
  addsd  %xmm12,%xmm3
  divsd  0x20(%rsp),%xmm3
  movapd %xmm6,%xmm1
  mulsd  %xmm5,%xmm1
  movapd %xmm1,%xmm12
  divsd  %xmm13,%xmm12
  addsd  %xmm12,%xmm12
  subsd  %xmm12,%xmm3
  movsd  0x18(%rsp),%xmm14
  movapd %xmm14,%xmm12
  mulsd  D826(%rip),%xmm12
  subsd  D398(%rip),%xmm12
  mulsd  %xmm8,%xmm12
  addsd  D693(%rip),%xmm12
  mulsd  0x10(%rsp),%xmm12
  movapd %xmm14,%xmm8
  mulsd  D260(%rip),%xmm8
  subsd  D564(%rip),%xmm8
  addsd  %xmm12,%xmm8
  movsd  D440(%rip),%xmm1
  movsd  0x8(%rsp),%xmm14
  mulsd  %xmm14,%xmm1
  movapd %xmm1,%xmm12
  addsd  D481(%rip),%xmm12
  mulsd  %xmm14,%xmm12
  addsd  %xmm12,%xmm8
  divsd  %xmm15,%xmm8
  subsd  %xmm8,%xmm3
  movapd %xmm0,%xmm1
  addsd  %xmm0,%xmm1
  movapd %xmm1,%xmm8
  mulsd  %xmm0,%xmm8
  addsd  %xmm8,%xmm3
  movsd  0x40(%rsp),%xmm8
  movsd  0x48(%rsp),%xmm12
  mulsd  %xmm12,%xmm8
  addsd  0x38(%rsp),%xmm8
  mulsd  %xmm14,%xmm10
  addsd  %xmm10,%xmm8
  divsd  0x20(%rsp),%xmm8
  mulsd  %xmm4,%xmm5
  divsd  %xmm13,%xmm5
  subsd  %xmm5,%xmm8
  movapd %xmm6,%xmm1
  mulsd  %xmm11,%xmm1
  movapd %xmm1,%xmm5
  divsd  %xmm13,%xmm5
  subsd  %xmm5,%xmm8
  movsd  0x30(%rsp),%xmm10
  mulsd  %xmm12,%xmm10
  addsd  0x28(%rsp),%xmm10
  movsd  D987(%rip),%xmm5
  mulsd  %xmm14,%xmm5
  addsd  %xmm10,%xmm5
  divsd  %xmm15,%xmm5
  subsd  %xmm5,%xmm8
  mulsd  %xmm4,%xmm6
  movapd %xmm15,%xmm5
  mulsd  %xmm15,%xmm5
  divsd  %xmm5,%xmm6
  addsd  %xmm6,%xmm6
  addsd  %xmm6,%xmm8
  movapd %xmm9,%xmm0
  addsd  %xmm9,%xmm0
  mulsd  %xmm0,%xmm8
  subsd  %xmm8,%xmm3
  movsd  0x50(%rsp),%xmm0
  mulsd  %xmm0,%xmm2
  addsd  D282(%rip),%xmm2
  movsd  0x20(%rsp),%xmm6
  divsd  %xmm6,%xmm2
  mulsd  %xmm11,%xmm4
  divsd  %xmm13,%xmm4
  addsd  %xmm4,%xmm4
  subsd  %xmm4,%xmm2
  mulsd  %xmm0,%xmm7
  mulsd  %xmm6,%xmm7
  divsd  %xmm13,%xmm7
  subsd  %xmm7,%xmm2
  movsd  0x58(%rsp),%xmm6
  movapd %xmm6,%xmm0
  addsd  %xmm6,%xmm0
  mulsd  %xmm6,%xmm0
  addsd  %xmm0,%xmm2
  mulsd  %xmm9,%xmm9
  mulsd  %xmm2,%xmm9
  movapd %xmm3,%xmm0
  addsd  %xmm9,%xmm0
  add    $0x68,%rsp
  ret
L16:
  movsd  0x10(%rsp),%xmm0
  call   <sqrt@plt>
  movapd %xmm0,%xmm8
  jmp    L13
```

tool_calls: name: read_data
arguments: data_tag: D782
data_type: byte[8]
name: read_data
arguments: data_tag: D49
data_type: byte[8]
name: read_data
arguments: data_tag: D956
data_type: f64
name: read_data
arguments: data_tag: D987
data_type: byte[8]
name: read_data
arguments: data_tag: D374
data_type: byte[8]
name: read_data
arguments: data_tag: D112
data_type: byte[8]
name: read_data
arguments: data_tag: D617
data_type: byte[8]
name: read_data
arguments: data_tag: D116
data_type: byte[8]
name: read_data
arguments: data_tag: D745
data_type: byte[8]
name: read_data
arguments: data_tag: D535
data_type: byte[8]
name: read_data
arguments: data_tag: D610
data_type: byte[8]
name: read_data
arguments: data_tag: D123
data_type: f64
name: read_data
arguments: data_tag: D257
data_type: f64
name: read_data
arguments: data_tag: D512
data_type: byte[8]
name: read_data
arguments: data_tag: D396
data_type: byte[8]
name: read_data
arguments: data_tag: D165
data_type: byte[8]
name: read_data
arguments: data_tag: D173
data_type: byte[8]
name: read_data
arguments: data_tag: D736
data_type: byte[8]
name: read_data
arguments: data_tag: D358
data_type: byte[8]
name: read_data
arguments: data_tag: D966
data_type: byte[8]
name: read_data
arguments: data_tag: D303
data_type: byte[8]
name: read_data
arguments: data_tag: D821
data_type: byte[8]
name: read_data
arguments: data_tag: D589
data_type: byte[8]
name: read_data
arguments: data_tag: D898
data_type: byte[8]
name: read_data
arguments: data_tag: D1073
data_type: byte[8]
name: read_data
arguments: data_tag: D1087
data_type: byte[8]
name: read_data
arguments: data_tag: D627
data_type: byte[8]
name: read_data
arguments: data_tag: D164
data_type: byte[8]
name: read_data
arguments: data_tag: D684
data_type: byte[8]
name: read_data
arguments: data_tag: D169
data_type: byte[8]
name: read_data
arguments: data_tag: D403
data_type: byte[8]
name: read_data
arguments: data_tag: D894
data_type: byte[8]
name: read_data
arguments: data_tag: D643
data_type: byte[8]
name: read_data
arguments: data_tag: D602
data_type: byte[8]
name: read_data
arguments: data_tag: D448
data_type: byte[8]
name: read_data
arguments: data_tag: D933
data_type: byte[8]
name: read_data
arguments: data_tag: D378
data_type: f64
name: read_data
arguments: data_tag: D822
data_type: byte[8]
name: read_data
arguments: data_tag: D459
data_type: byte[8]
name: read_data
arguments: data_tag: D286
data_type: byte[8]
name: read_data
arguments: data_tag: D787
data_type: byte[8]
name: read_data
arguments: data_tag: D161
data_type: byte[8]
name: read_data
arguments: data_tag: D948
data_type: byte[8]
name: read_data
arguments: data_tag: D1053
data_type: byte[8]
name: read_data
arguments: data_tag: D334
data_type: byte[8]
name: read_data
arguments: data_tag: D344
data_type: byte[8]
name: read_data
arguments: data_tag: D582
data_type: byte[8]
name: read_data
arguments: data_tag: D186
data_type: byte[8]
name: read_data
arguments: data_tag: D693
data_type: byte[8]
name: read_data
arguments: data_tag: D868
data_type: byte[8]
name: read_data
arguments: data_tag: D398
data_type: byte[8]
name: read_data
arguments: data_tag: D481
data_type: byte[8]
name: read_data
arguments: data_tag: D440
data_type: byte[8]
name: read_data
arguments: data_tag: D859
data_type: byte[8]
name: read_data
arguments: data_tag: D564
data_type: byte[8]
name: read_data
arguments: data_tag: D149
data_type: byte[8]
name: read_data
arguments: data_tag: D20
data_type: byte[8]
name: read_data
arguments: data_tag: D195
data_type: byte[8]
name: read_data
arguments: data_tag: D620
data_type: byte[8]
name: read_data
arguments: data_tag: D350
data_type: byte[8]
name: read_data
arguments: data_tag: D1082
data_type: byte[8]
name: read_data
arguments: data_tag: D856
data_type: byte[8]
name: read_data
arguments: data_tag: D395
data_type: byte[8]
name: read_data
arguments: data_tag: D245
data_type: byte[8]
name: read_data
arguments: data_tag: D959
data_type: byte[8]
name: read_data
arguments: data_tag: D1000
data_type: byte[8]
name: read_data
arguments: data_tag: D234
data_type: byte[8]
name: read_data
arguments: data_tag: D544
data_type: byte[8]
name: read_data
arguments: data_tag: D1042
data_type: byte[8]
name: read_data
arguments: data_tag: D639
data_type: byte[8]
name: read_data
arguments: data_tag: D472
data_type: byte[8]
name: read_data
arguments: data_tag: D238
data_type: byte[8]
name: read_data
arguments: data_tag: D592
data_type: byte[8]
name: read_data
arguments: data_tag: D968
data_type: byte[8]
name: read_data
arguments: data_tag: D593
data_type: byte[8]
name: read_data
arguments: data_tag: D525
data_type: byte[8]
name: read_data
arguments: data_tag: D557
data_type: byte[8]
name: read_data
arguments: data_tag: D282
data_type: byte[8]
name: read_data
arguments: data_tag: D456
data_type: byte[8]
name: read_data
arguments: data_tag: D1012
data_type: byte[8]
name: read_data
arguments: data_tag: D182
data_type: byte[8]
name: read_data
arguments: data_tag: D491
data_type: byte[8]
name: read_data
arguments: data_tag: D249
data_type: byte[8]
name: read_data
arguments: data_tag: D621
data_type: byte[8]
name: read_data
arguments: data_tag: D125
data_type: byte[8]
name: read_data
arguments: data_tag: D826
data_type: byte[8]
name: read_data
arguments: data_tag: D260
data_type: byte[8]

tool: {"D782": [0xfc,0x2c,0x45,0x01,0x00,0x83,0x2e,0x3f]}

tool: {"D49": [0xf2,0xa0,0x4f,0x84,0xed,0x94,0x9e,0x3f]}

tool: D956: 6.698001071123802

tool: {"D987": [0x0d,0x0d,0x3e,0x7f,0x28,0x13,0xa7,0x3e]}

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assistant: ```c
double gsw_cabbeling(double sa, double ct, double p) {
  double v01 = 9.998420897506056e2, v02 = 2.839940833161907e0, v03 = -3.147759265588511e-2, v04 = 1.181805545074306e-3, v05 = -6.698001071123802e0, v06 = -2.986498947203215e-2, v07 = 2.327859407479162e-4, v08 = -3.988822378968490e-2, v09 = 5.095422573880500e-4, v10 = -1.426984671633621e-5, v11 = 1.645039373682922e-7, v12 = -2.233269627352527e-2, v13 = -3.436090079851880e-4, v14 = 3.726050720345733e-6, v15 = -1.806789763745328e-4, v16 = 6.876837219536232e-7, v17 = -3.087032500374211e-7, v18 = -1.988366587925593e-8, v19 = -1.061519070296458e-11, v20 = 1.550932729220080e-10, v21 = 1.0e0, v22 = 2.775927747785646e-3, v23 = -2.349607444135925e-5, v24 = 1.119513357486743e-6, v25 = 6.743689325042773e-10, v26 = -7.521448093615448e-3, v27 = -2.764306979894411e-5, v28 = 1.262937315098546e-7, v29 = 9.527875081696435e-10, v30 = -1.811147201949891e-11, v31 = -3.303308871386421e-5, v32 = 3.801564588876298e-7, v33 = -7.672876869259043e-9, v34 = -4.634182341116144e-11, v35 = 2.681097235569143e-12, v36 = 5.419326551148740e-6, v37 = -2.742185394906099e-5, v38 = -3.212746477974189e-7, v39 = 3.191413910561627e-9, v40 = -1.931012931541776e-12, v41 = -1.105097577149576e-7, v42 = 6.211426728363857e-10, v43 = -1.119011592875110e-10, v44 = -1.941660213148725e-11, v45 = -1.864826425365600e-14, v46 = 1.119522344879478e-14, v47 = -1.200507748551599e-15, v48 = 6.057902487546866e-17, a01 = 2.839940833161907e0, a02 = -6.295518531177023e-2, a03 = 3.545416635222918e-3, a04 = -2.986498947203215e-2, a05 = 4.655718814958324e-4, a06 = 5.095422573880500e-4, a07 = -2.853969343267241e-5, a08 = 4.935118121048767e-7, a09 = -3.436090079851880e-4, a10 = 7.452101440691467e-6, a11 = 6.876837219536232e-7, a12 = -1.988366587925593e-8, a13 = -2.123038140592916e-11, a14 = 2.775927747785646e-3, a15 = -4.699214888271850e-5, a16 = 3.358540072460230e-6, a17 = 2.697475730017109e-9, a18 = -2.764306979894411e-5, a19 = 2.525874630197091e-7, a20 = 2.858362524508931e-9, a21 = -7.244588807799565e-11, a22 = 3.801564588876298e-7, a23 = -1.534575373851809e-8, a24 = -1.390254702334843e-10, a25 = 1.072438894227657e-11, a26 = -3.212746477974189e-7, a27 = 6.382827821123254e-9, a28 = -5.793038794625329e-12, a29 = 6.211426728363857e-10, a30 = -1.941660213148725e-11, a31 = -3.729652850731201e-14, a32 = 1.119522344879478e-14, a33 = 6.057902487546866e-17, b01 = -6.698001071123802e0, b02 = -2.986498947203215e-2, b03 = 2.327859407479162e-4, b04 = -5.983233568452735e-2, b05 = 7.643133860820750e-4, b06 = -2.140477007450431e-5, b07 = 2.467559060524383e-7, b08 = -1.806789763745328e-4, b09 = 6.876837219536232e-7, b10 = 1.550932729220080e-10, b11 = -7.521448093615448e-3, b12 = -2.764306979894411e-5, b13 = 1.262937315098546e-7, b14 = 9.527875081696435e-10, b15 = -1.811147201949891e-11, b16 = -4.954963307079632e-5, b17 = 5.702346883314446e-7, b18 = -1.150931530388857e-8, b19 = -6.951273511674217e-11, b20 = 4.021645853353715e-12, b21 = 1.083865310229748e-5, b22 = -1.105097577149576e-7, b23 = 6.211426728363857e-10, b24 = 1.119522344879478e-14;
  double sqrtsa, v_hat_denominator, v_hat_numerator;
  double dvhatden_dct, dvhatnum_dct, dvhatden_dctdct, dvhatden_dctdsa;
  double dvhatden_dsa, dvhatnum_dsa, dvhatnum_dsadsa, dvhatden_dsadsa;
  double dvhatnum_dctdct, dvhatnum_dsadct, dvhatnum_dctdsa;
  double p1a, p1b, p1c, p1d, part1, factor2a, factor2b;
  double p2a, p2b, p2c, p2d, p2e, part2;
  double factor3a, factor3b, p3a, p3b, p3c, p3d, part3;
  sqrtsa = sqrt(sa);
  v_hat_denominator = v01 + ct * (v02 + ct * (v03 + v04 * ct)) + sa * (v05 + ct * (v06 + v07 * ct) + sqrtsa * (v08 + ct * (v09 + ct * (v10 + v11 * ct)))) + p * (v12 + ct * (v13 + v14 * ct) + sa * (v15 + v16 * ct) + p * (v17 + ct * (v18 + v19 * ct) + v20 * sa));
  v_hat_numerator = v21 + ct * (v22 + ct * (v23 + ct * (v24 + v25 * ct))) + sa * (v26 + ct * (v27 + ct * (v28 + ct * (v29 + v30 * ct))) + v36 * sa + sqrtsa * (v31 + ct * (v32 + ct * (v33 + ct * (v34 + v35 * ct))))) + p * (v37 + ct * (v38 + ct * (v39 + v40 * ct)) + sa * (v41 + v42 * ct) + p * (v43 + ct * (v44 + v45 * ct + v46 * sa) + p * (v47 + v48 * ct)));
  dvhatden_dct = a01 + ct * (a02 + a03 * ct) + sa * (a04 + a05 * ct + sqrtsa * (a06 + ct * (a07 + a08 * ct))) + p * (a09 + a10 * ct + a11 * sa + p * (a12 + a13 * ct));
  dvhatnum_dct = a14 + ct * (a15 + ct * (a16 + a17 * ct)) + sa * (a18 + ct * (a19 + ct * (a20 + a21 * ct)) + sqrtsa * (a22 + ct * (a23 + ct * (a24 + a25 * ct)))) + p * (a26 + ct * (a27 + a28 * ct) + a29 * sa + p * (a30 + a31 * ct + a32 * sa + a33 * p));
  dvhatden_dctdct = a02 + 2e0 * a03 * ct + sa * (a05 + sqrtsa * (a07 + 2e0 * a08 * ct)) + p * (a10 + a13 * p);
  dvhatden_dctdsa = a04 + a05 * ct + (3e0 / 2e0) * sqrtsa * (a06 + ct * (a07 + a08 * ct)) + a11 * p;
  dvhatden_dsa = b01 + ct * (b02 + b03 * ct) + sqrtsa * (b04 + ct * (b05 + ct * (b06 + b07 * ct))) + p * (b08 + b09 * ct + b10 * p);
  dvhatnum_dsa = b11 + ct * (b12 + ct * (b13 + ct * (b14 + b15 * ct))) + sqrtsa * (b16 + ct * (b17 + ct * (b18 + ct * (b19 + b20 * ct)))) + b21 * sa + p * (b22 + ct * (b23 + b24 * p));
  dvhatnum_dctdct = a15 + ct * (2 * a16 + 3 * a17 * ct) + sa * (a19 + ct * (2 * a20 + 3 * a21 * ct) + sqrtsa * (a23 + ct * (2 * a24 + 3 * a25 * ct))) + p * (a27 + 2 * a28 * ct + a31 * p);
  dvhatnum_dctdsa = a18 + ct * (a19 + ct * (a20 + a21 * ct)) + (3e0 / 2e0) * sqrtsa * (a22 + ct * (a23 + ct * (a24 + a25 * ct))) + p * (a29 + p * a32);
  dvhatnum_dsadsa = (1e0 / (2e0 * sqrtsa)) * (b16 + ct * (b17 + ct * (b18 + ct * (b19 + b20 * ct)))) + b21;
  dvhatden_dsadsa = (1e0 / (2e0 * sqrtsa)) * (b04 + ct * (b05 + ct * (b06 + b07 * ct)));
  p1a = dvhatnum_dctdct / v_hat_numerator;
  p1b = (dvhatnum_dct * dvhatden_dct) / (v_hat_numerator * v_hat_denominator);
  p1c = dvhatden_dctdct / v_hat_denominator;
  p1d = dvhatden_dct / v_hat_denominator;
  part1 = p1a - 2e0 * p1b - p1c + 2e0 * p1d * p1d;
  factor2a = (v_hat_denominator * dvhatnum_dct - v_hat_numerator * dvhatden_dct);
  factor2b = (v_hat_denominator * dvhatnum_dsa - v_hat_numerator * dvhatden_dsa);
  p2a = dvhatnum_dctdsa / v_hat_numerator;
  p2b = (dvhatnum_dct * dvhatden_dsa) / (v_hat_numerator * v_hat_denominator);
  p2c = (dvhatnum_dsa * dvhatden_dct) / (v_hat_numerator * v_hat_denominator);
  p2d = dvhatden_dctdsa / v_hat_denominator;
  p2e = (dvhatden_dct * dvhatden_dsa) / (v_hat_denominator * v_hat_denominator);
  part2 = p2a - p2b - p2c - p2d + 2e0 * p2e;
  factor3a = (v_hat_denominator * dvhatnum_dct - v_hat_numerator * dvhatden_dct);
  factor3b = (v_hat_denominator * dvhatnum_dsa - v_hat_numerator * dvhatden_dsa);
  p3a = dvhatnum_dsadsa / v_hat_numerator;
  p3b = (dvhatnum_dsa * dvhatden_dsa) / (v_hat_numerator * v_hat_denominator);
  p3c = (v_hat_numerator * dvhatden_dsadsa) / (v_hat_numerator * v_hat_denominator);
  p3d = dvhatden_dsa / v_hat_denominator;
  part3 = p3a - 2e0 * p3b - p3c + 2e0 * p3d * p3d;
  return (part1 - 2e0 * (factor2a / factor2b) * part2 + (factor3a / factor3b) * (factor3a / factor3b) * part3);
}
```