user: 请从给定的汇编指令推导出C源代码:

```asm
<gsw_rho_first_derivatives>:
  endbr64
  push   %rbp
  mov    %rsp,%rbp
  sub    $0x480,%rsp
  movsd  %xmm0,-0x458(%rbp)
  movsd  %xmm1,-0x460(%rbp)
  movsd  %xmm2,-0x468(%rbp)
  mov    %rdi,-0x470(%rbp)
  mov    %rsi,-0x478(%rbp)
  mov    %rdx,-0x480(%rbp)
  movsd  D706(%rip),%xmm0
  movsd  %xmm0,-0x450(%rbp)
  movsd  D994(%rip),%xmm0
  movsd  %xmm0,-0x448(%rbp)
  movsd  D246(%rip),%xmm0
  movsd  %xmm0,-0x440(%rbp)
  movsd  D703(%rip),%xmm0
  movsd  %xmm0,-0x438(%rbp)
  movsd  D1085(%rip),%xmm0
  movsd  %xmm0,-0x430(%rbp)
  movsd  D733(%rip),%xmm0
  movsd  %xmm0,-0x428(%rbp)
  movsd  D983(%rip),%xmm0
  movsd  %xmm0,-0x420(%rbp)
  movsd  D562(%rip),%xmm0
  movsd  %xmm0,-0x418(%rbp)
  movsd  D399(%rip),%xmm0
  movsd  %xmm0,-0x410(%rbp)
  movsd  D814(%rip),%xmm0
  movsd  %xmm0,-0x408(%rbp)
  movsd  D502(%rip),%xmm0
  movsd  %xmm0,-0x400(%rbp)
  movsd  D986(%rip),%xmm0
  movsd  %xmm0,-0x3f8(%rbp)
  movsd  D377(%rip),%xmm0
  movsd  %xmm0,-0x3f0(%rbp)
  movsd  D569(%rip),%xmm0
  movsd  %xmm0,-0x3e8(%rbp)
  movsd  D108(%rip),%xmm0
  movsd  %xmm0,-0x3e0(%rbp)
  movsd  D692(%rip),%xmm0
  movsd  %xmm0,-0x3d8(%rbp)
  movsd  D161(%rip),%xmm0
  movsd  %xmm0,-0x3d0(%rbp)
  movsd  D980(%rip),%xmm0
  movsd  %xmm0,-0x3c8(%rbp)
  movsd  D780(%rip),%xmm0
  movsd  %xmm0,-0x3c0(%rbp)
  movsd  D865(%rip),%xmm0
  movsd  %xmm0,-0x3b8(%rbp)
  movsd  D781(%rip),%xmm0
  movsd  %xmm0,-0x3b0(%rbp)
  movsd  D639(%rip),%xmm0
  movsd  %xmm0,-0x3a8(%rbp)
  movsd  D611(%rip),%xmm0
  movsd  %xmm0,-0x3a0(%rbp)
  movsd  D528(%rip),%xmm0
  movsd  %xmm0,-0x398(%rbp)
  movsd  D496(%rip),%xmm0
  movsd  %xmm0,-0x390(%rbp)
  movsd  D914(%rip),%xmm0
  movsd  %xmm0,-0x388(%rbp)
  movsd  D300(%rip),%xmm0
  movsd  %xmm0,-0x380(%rbp)
  movsd  D837(%rip),%xmm0
  movsd  %xmm0,-0x378(%rbp)
  movsd  D279(%rip),%xmm0
  movsd  %xmm0,-0x370(%rbp)
  movsd  D435(%rip),%xmm0
  movsd  %xmm0,-0x368(%rbp)
  movsd  D949(%rip),%xmm0
  movsd  %xmm0,-0x360(%rbp)
  movsd  D85(%rip),%xmm0
  movsd  %xmm0,-0x358(%rbp)
  movsd  D853(%rip),%xmm0
  movsd  %xmm0,-0x350(%rbp)
  movsd  D182(%rip),%xmm0
  movsd  %xmm0,-0x348(%rbp)
  movsd  D1199(%rip),%xmm0
  movsd  %xmm0,-0x340(%rbp)
  movsd  D638(%rip),%xmm0
  movsd  %xmm0,-0x338(%rbp)
  movsd  D521(%rip),%xmm0
  movsd  %xmm0,-0x330(%rbp)
  movsd  D1152(%rip),%xmm0
  movsd  %xmm0,-0x328(%rbp)
  movsd  D715(%rip),%xmm0
  movsd  %xmm0,-0x320(%rbp)
  movsd  D41(%rip),%xmm0
  movsd  %xmm0,-0x318(%rbp)
  movsd  D313(%rip),%xmm0
  movsd  %xmm0,-0x310(%rbp)
  movsd  D270(%rip),%xmm0
  movsd  %xmm0,-0x308(%rbp)
  movsd  D836(%rip),%xmm0
  movsd  %xmm0,-0x300(%rbp)
  movsd  D1177(%rip),%xmm0
  movsd  %xmm0,-0x2f8(%rbp)
  movsd  D1251(%rip),%xmm0
  movsd  %xmm0,-0x2f0(%rbp)
  movsd  D513(%rip),%xmm0
  movsd  %xmm0,-0x2e8(%rbp)
  movsd  D389(%rip),%xmm0
  movsd  %xmm0,-0x2e0(%rbp)
  movsd  D113(%rip),%xmm0
  movsd  %xmm0,-0x2d8(%rbp)
  movsd  D994(%rip),%xmm0
  movsd  %xmm0,-0x2d0(%rbp)
  movsd  D43(%rip),%xmm0
  movsd  %xmm0,-0x2c8(%rbp)
  movsd  D910(%rip),%xmm0
  movsd  %xmm0,-0x2c0(%rbp)
  movsd  D733(%rip),%xmm0
  movsd  %xmm0,-0x2b8(%rbp)
  movsd  D177(%rip),%xmm0
  movsd  %xmm0,-0x2b0(%rbp)
  movsd  D399(%rip),%xmm0
  movsd  %xmm0,-0x2a8(%rbp)
  movsd  D1034(%rip),%xmm0
  movsd  %xmm0,-0x2a0(%rbp)
  movsd  D165(%rip),%xmm0
  movsd  %xmm0,-0x298(%rbp)
  movsd  D377(%rip),%xmm0
  movsd  %xmm0,-0x290(%rbp)
  movsd  D1048(%rip),%xmm0
  movsd  %xmm0,-0x288(%rbp)
  movsd  D692(%rip),%xmm0
  movsd  %xmm0,-0x280(%rbp)
  movsd  D980(%rip),%xmm0
  movsd  %xmm0,-0x278(%rbp)
  movsd  D58(%rip),%xmm0
  movsd  %xmm0,-0x270(%rbp)
  movsd  D639(%rip),%xmm0
  movsd  %xmm0,-0x268(%rbp)
  movsd  D810(%rip),%xmm0
  movsd  %xmm0,-0x260(%rbp)
  movsd  D643(%rip),%xmm0
  movsd  %xmm0,-0x258(%rbp)
  movsd  D1173(%rip),%xmm0
  movsd  %xmm0,-0x250(%rbp)
  movsd  D300(%rip),%xmm0
  movsd  %xmm0,-0x248(%rbp)
  movsd  D371(%rip),%xmm0
  movsd  %xmm0,-0x240(%rbp)
  movsd  D316(%rip),%xmm0
  movsd  %xmm0,-0x238(%rbp)
  movsd  D1125(%rip),%xmm0
  movsd  %xmm0,-0x230(%rbp)
  movsd  D85(%rip),%xmm0
  movsd  %xmm0,-0x228(%rbp)
  movsd  D351(%rip),%xmm0
  movsd  %xmm0,-0x220(%rbp)
  movsd  D1073(%rip),%xmm0
  movsd  %xmm0,-0x218(%rbp)
  movsd  D603(%rip),%xmm0
  movsd  %xmm0,-0x210(%rbp)
  movsd  D1152(%rip),%xmm0
  movsd  %xmm0,-0x208(%rbp)
  movsd  D825(%rip),%xmm0
  movsd  %xmm0,-0x200(%rbp)
  movsd  D894(%rip),%xmm0
  movsd  %xmm0,-0x1f8(%rbp)
  movsd  D270(%rip),%xmm0
  movsd  %xmm0,-0x1f0(%rbp)
  movsd  D1177(%rip),%xmm0
  movsd  %xmm0,-0x1e8(%rbp)
  movsd  D766(%rip),%xmm0
  movsd  %xmm0,-0x1e0(%rbp)
  movsd  D513(%rip),%xmm0
  movsd  %xmm0,-0x1d8(%rbp)
  movsd  D113(%rip),%xmm0
  movsd  %xmm0,-0x1d0(%rbp)
  movsd  D1085(%rip),%xmm0
  movsd  %xmm0,-0x1c8(%rbp)
  movsd  D733(%rip),%xmm0
  movsd  %xmm0,-0x1c0(%rbp)
  movsd  D983(%rip),%xmm0
  movsd  %xmm0,-0x1b8(%rbp)
  movsd  D61(%rip),%xmm0
  movsd  %xmm0,-0x1b0(%rbp)
  movsd  D1183(%rip),%xmm0
  movsd  %xmm0,-0x1a8(%rbp)
  movsd  D534(%rip),%xmm0
  movsd  %xmm0,-0x1a0(%rbp)
  movsd  D349(%rip),%xmm0
  movsd  %xmm0,-0x198(%rbp)
  movsd  D108(%rip),%xmm0
  movsd  %xmm0,-0x190(%rbp)
  movsd  D692(%rip),%xmm0
  movsd  %xmm0,-0x188(%rbp)
  movsd  D865(%rip),%xmm0
  movsd  %xmm0,-0x180(%rbp)
  movsd  D914(%rip),%xmm0
  movsd  %xmm0,-0x178(%rbp)
  movsd  D300(%rip),%xmm0
  movsd  %xmm0,-0x170(%rbp)
  movsd  D837(%rip),%xmm0
  movsd  %xmm0,-0x168(%rbp)
  movsd  D279(%rip),%xmm0
  movsd  %xmm0,-0x160(%rbp)
  movsd  D435(%rip),%xmm0
  movsd  %xmm0,-0x158(%rbp)
  movsd  D1092(%rip),%xmm0
  movsd  %xmm0,-0x150(%rbp)
  movsd  D1175(%rip),%xmm0
  movsd  %xmm0,-0x148(%rbp)
  movsd  D1024(%rip),%xmm0
  movsd  %xmm0,-0x140(%rbp)
  movsd  D59(%rip),%xmm0
  movsd  %xmm0,-0x138(%rbp)
  movsd  D1057(%rip),%xmm0
  movsd  %xmm0,-0x130(%rbp)
  movsd  D469(%rip),%xmm0
  movsd  %xmm0,-0x128(%rbp)
  movsd  D313(%rip),%xmm0
  movsd  %xmm0,-0x120(%rbp)
  movsd  D270(%rip),%xmm0
  movsd  %xmm0,-0x118(%rbp)
  movsd  D513(%rip),%xmm0
  movsd  %xmm0,-0x110(%rbp)
  movsd  D986(%rip),%xmm0
  movsd  %xmm0,-0x108(%rbp)
  movsd  D377(%rip),%xmm0
  movsd  %xmm0,-0x100(%rbp)
  movsd  D569(%rip),%xmm0
  movsd  %xmm0,-0xf8(%rbp)
  movsd  D108(%rip),%xmm0
  movsd  %xmm0,-0xf0(%rbp)
  movsd  D692(%rip),%xmm0
  movsd  %xmm0,-0xe8(%rbp)
  movsd  D617(%rip),%xmm0
  movsd  %xmm0,-0xe0(%rbp)
  movsd  D517(%rip),%xmm0
  movsd  %xmm0,-0xd8(%rbp)
  movsd  D58(%rip),%xmm0
  movsd  %xmm0,-0xd0(%rbp)
  movsd  D169(%rip),%xmm0
  movsd  %xmm0,-0xc8(%rbp)
  movsd  D521(%rip),%xmm0
  movsd  %xmm0,-0xc0(%rbp)
  movsd  D1152(%rip),%xmm0
  movsd  %xmm0,-0xb8(%rbp)
  movsd  D715(%rip),%xmm0
  movsd  %xmm0,-0xb0(%rbp)
  movsd  D41(%rip),%xmm0
  movsd  %xmm0,-0xa8(%rbp)
  movsd  D313(%rip),%xmm0
  movsd  %xmm0,-0xa0(%rbp)
  movsd  D270(%rip),%xmm0
  movsd  %xmm0,-0x98(%rbp)
  movsd  D5(%rip),%xmm0
  movsd  %xmm0,-0x90(%rbp)
  movsd  D497(%rip),%xmm0
  movsd  %xmm0,-0x88(%rbp)
  movsd  D766(%rip),%xmm0
  movsd  %xmm0,-0x80(%rbp)
  movsd  D906(%rip),%xmm0
  movsd  %xmm0,-0x78(%rbp)
  movsd  D500(%rip),%xmm0
  movsd  %xmm0,-0x70(%rbp)
  movsd  D954(%rip),%xmm0
  movsd  %xmm0,-0x68(%rbp)
  movsd  D771(%rip),%xmm0
  movsd  %xmm0,-0x60(%rbp)
  mov    -0x458(%rbp),%rax
  movq   %rax,%xmm0
  call   <sqrt@plt>
  movq   %xmm0,%rax
  mov    %rax,-0x58(%rbp)
  movsd  -0x438(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x440(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x448(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm1
  addsd  -0x450(%rbp),%xmm1
  movsd  -0x420(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x428(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm2
  addsd  -0x430(%rbp),%xmm2
  movsd  -0x400(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x408(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x410(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x418(%rbp),%xmm0
  mulsd  -0x58(%rbp),%xmm0
  addsd  %xmm2,%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm0,%xmm1
  movsd  -0x3e8(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x3f0(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm2
  addsd  -0x3f8(%rbp),%xmm2
  movsd  -0x3d8(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x3e0(%rbp),%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm0,%xmm2
  movsd  -0x3c0(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x3c8(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm3
  addsd  -0x3d0(%rbp),%xmm3
  movsd  -0x3b8(%rbp),%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm3,%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm2,%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm1,%xmm0
  movsd  %xmm0,-0x50(%rbp)
  movsd  -0x390(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x398(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x3a0(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x3a8(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm1
  addsd  -0x3b0(%rbp),%xmm1
  movsd  -0x368(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x370(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x378(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x380(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm2
  addsd  -0x388(%rbp),%xmm2
  movsd  -0x338(%rbp),%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm0,%xmm2
  movsd  -0x340(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x348(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x350(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x358(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x360(%rbp),%xmm0
  mulsd  -0x58(%rbp),%xmm0
  addsd  %xmm2,%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm0,%xmm1
  movsd  -0x318(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x320(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x328(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm2
  addsd  -0x330(%rbp),%xmm2
  movsd  -0x308(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x310(%rbp),%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm0,%xmm2
  movsd  -0x2f0(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm3
  addsd  -0x2f8(%rbp),%xmm3
  movsd  -0x2e8(%rbp),%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm3,%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm3
  addsd  -0x300(%rbp),%xmm3
  movsd  -0x2d8(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x2e0(%rbp),%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm3,%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm2,%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm1,%xmm0
  movsd  %xmm0,-0x48(%rbp)
  movsd  -0x2c0(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x2c8(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm1
  addsd  -0x2d0(%rbp),%xmm1
  movsd  -0x2b0(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm2
  addsd  -0x2b8(%rbp),%xmm2
  movsd  -0x298(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x2a0(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x2a8(%rbp),%xmm0
  mulsd  -0x58(%rbp),%xmm0
  addsd  %xmm2,%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm0,%xmm1
  movsd  -0x288(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm2
  addsd  -0x290(%rbp),%xmm2
  movsd  -0x280(%rbp),%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm0,%xmm2
  movsd  -0x270(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x278(%rbp),%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm2,%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm1,%xmm0
  movsd  %xmm0,-0x40(%rbp)
  movsd  -0x250(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x258(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x260(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm1
  addsd  -0x268(%rbp),%xmm1
  movsd  -0x230(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x238(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x240(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm2
  addsd  -0x248(%rbp),%xmm2
  movsd  -0x210(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x218(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x220(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x228(%rbp),%xmm0
  mulsd  -0x58(%rbp),%xmm0
  addsd  %xmm2,%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm0,%xmm1
  movsd  -0x1f8(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x200(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm2
  addsd  -0x208(%rbp),%xmm2
  movsd  -0x1f0(%rbp),%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm0,%xmm2
  movsd  -0x1e0(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm3
  addsd  -0x1e8(%rbp),%xmm3
  movsd  -0x1d8(%rbp),%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm0,%xmm3
  movsd  -0x1d0(%rbp),%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm3,%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm2,%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm1,%xmm0
  movsd  %xmm0,-0x38(%rbp)
  movsd  -0x1b8(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x1c0(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm1
  addsd  -0x1c8(%rbp),%xmm1
  movsd  -0x198(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x1a0(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x1a8(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x1b0(%rbp),%xmm0
  mulsd  -0x58(%rbp),%xmm0
  addsd  %xmm0,%xmm1
  movsd  -0x188(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm2
  addsd  -0x190(%rbp),%xmm2
  movsd  -0x180(%rbp),%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm2,%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm1,%xmm0
  movsd  %xmm0,-0x30(%rbp)
  movsd  -0x158(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x160(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x168(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x170(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm1
  addsd  -0x178(%rbp),%xmm1
  movsd  -0x130(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x138(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x140(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x148(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x150(%rbp),%xmm0
  mulsd  -0x58(%rbp),%xmm0
  addsd  %xmm0,%xmm1
  movsd  -0x128(%rbp),%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm0,%xmm1
  movsd  -0x110(%rbp),%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  -0x118(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x120(%rbp),%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm1,%xmm0
  movsd  %xmm0,-0x28(%rbp)
  movsd  -0xf8(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x100(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm1
  addsd  -0x108(%rbp),%xmm1
  movsd  -0xe8(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0xf0(%rbp),%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm0,%xmm1
  movsd  -0xd0(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0xd8(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm2
  addsd  -0xe0(%rbp),%xmm2
  movsd  -0xc8(%rbp),%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm2,%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm1,%xmm0
  movsd  %xmm0,-0x20(%rbp)
  movsd  -0xa8(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0xb0(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0xb8(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm1
  addsd  -0xc0(%rbp),%xmm1
  movsd  -0x98(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0xa0(%rbp),%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm0,%xmm1
  movsd  -0x80(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm2
  addsd  -0x88(%rbp),%xmm2
  movsd  -0x78(%rbp),%xmm0
  mulsd  -0x458(%rbp),%xmm0
  addsd  %xmm2,%xmm0
  mulsd  -0x460(%rbp),%xmm0
  movapd %xmm0,%xmm2
  addsd  -0x90(%rbp),%xmm2
  movsd  -0x68(%rbp),%xmm0
  mulsd  -0x460(%rbp),%xmm0
  addsd  -0x70(%rbp),%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm2,%xmm0
  mulsd  -0x468(%rbp),%xmm0
  addsd  %xmm1,%xmm0
  movsd  %xmm0,-0x18(%rbp)
  movsd  D781(%rip),%xmm0
  divsd  -0x48(%rbp),%xmm0
  movsd  %xmm0,-0x10(%rbp)
  movsd  -0x10(%rbp),%xmm0
  mulsd  -0x50(%rbp),%xmm0
  movsd  %xmm0,-0x8(%rbp)
  movsd  -0x28(%rbp),%xmm0
  movapd %xmm0,%xmm1
  mulsd  -0x8(%rbp),%xmm1
  movsd  -0x30(%rbp),%xmm0
  subsd  %xmm1,%xmm0
  mulsd  -0x10(%rbp),%xmm0
  mov    -0x470(%rbp),%rax
  movsd  %xmm0,(%rax)
  movsd  -0x38(%rbp),%xmm0
  movapd %xmm0,%xmm1
  mulsd  -0x8(%rbp),%xmm1
  movsd  -0x40(%rbp),%xmm0
  subsd  %xmm1,%xmm0
  mulsd  -0x10(%rbp),%xmm0
  mov    -0x478(%rbp),%rax
  movsd  %xmm0,(%rax)
  movsd  -0x18(%rbp),%xmm0
  movapd %xmm0,%xmm1
  mulsd  -0x8(%rbp),%xmm1
  movsd  -0x20(%rbp),%xmm0
  subsd  %xmm1,%xmm0
  mulsd  -0x60(%rbp),%xmm0
  mulsd  -0x10(%rbp),%xmm0
  mov    -0x480(%rbp),%rax
  movsd  %xmm0,(%rax)
  nop
  leave
  ret
```

tool_calls: name: unpack_data
arguments: data_tag: D706
type_infered: f64
name: unpack_data
arguments: data_tag: D994
type_infered: f64
name: unpack_data
arguments: data_tag: D246
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D703
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1085
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D733
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D983
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D562
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D399
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D814
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D502
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D986
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D377
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D569
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D108
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D692
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D161
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D980
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D780
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D865
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D781
type_infered: f64
name: unpack_data
arguments: data_tag: D639
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D611
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D528
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D496
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D914
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D300
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D837
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D279
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D435
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D949
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D85
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D853
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D182
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1199
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D638
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D521
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1152
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D715
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D41
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D313
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D270
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D836
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1177
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1251
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D513
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D389
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D113
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D43
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D910
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D177
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1034
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D165
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1048
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D58
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D810
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D643
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1173
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D371
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D316
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1125
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D351
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1073
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D603
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D825
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D894
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D766
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D61
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1183
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D534
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D349
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1092
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1175
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1024
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D59
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D1057
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D469
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D617
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D517
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D169
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D5
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D497
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D906
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D500
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D954
type_infered: byte[8]
name: unpack_data
arguments: data_tag: D771
type_infered: byte[8]

tool: D706: 999.8420897506056

tool: D994: 2.839940833161907

tool: {"D246": [0x8e,0x15,0x07,0xbe,0xd4,0x1d,0xa0,0xbf]}

tool: {"D703": [0x1f,0x14,0xa5,0x0a,0xda,0x5c,0x53,0x3f]}

tool: {"D1085": [0xe4,0x32,0xf4,0xca,0xc0,0xca,0x1a,0xc0]}

tool: {"D733": [0xf2,0xa0,0x4f,0x84,0xed,0x94,0x9e,0xbf]}

tool: {"D983": [0xfc,0x2c,0x45,0x01,0x00,0x83,0x2e,0x3f]}

tool: {"D562": [0xfc,0x2d,0x58,0xb1,0x3a,0x6c,0xa4,0xbf]}

tool: {"D399": [0xbf,0xb2,0x6b,0xaa,0x59,0xb2,0x40,0x3f]}

tool: {"D814": [0xd6,0xa6,0x84,0xcc,0x10,0xed,0xed,0xbe]}

tool: {"D502": [0x73,0x33,0x84,0xef,0x4f,0x14,0x86,0x3e]}

tool: {"D986": [0xb8,0x52,0x81,0xe0,0x61,0xde,0x96,0xbf]}

tool: {"D377": [0xd1,0x33,0xb0,0x73,0xcd,0x84,0x36,0xbf]}

tool: {"D569": [0x6e,0xb3,0xdd,0x0b,0xa2,0x41,0xcf,0x3e]}

tool: {"D108": [0xea,0x40,0xd6,0x96,0x94,0xae,0x27,0xbf]}

tool: {"D692": [0x0d,0x0d,0x3e,0x7f,0x28,0x13,0xa7,0x3e]}

tool: {"D161": [0xb4,0x8a,0x75,0x40,0x7b,0xb7,0x94,0xbe]}

tool: {"D980": [0x40,0x72,0xfa,0x98,0x94,0x59,0x55,0xbe]}

tool: {"D780": [0x18,0xe6,0x61,0x34,0xd2,0x57,0xa7,0xbd]}

tool: {"D865": [0x3d,0xae,0x24,0x03,0xdc,0x50,0xe5,0x3d]}

tool: D781: 1

tool: {"D639": [0xb6,0xcd,0x91,0xdc,0x8a,0xbd,0x66,0x3f]}

tool: {"D611": [0x63,0xc6,0xe2,0xf0,0x2d,0xa3,0xf8,0xbe]}

tool: {"D528": [0x42,0xd1,0x39,0xf4,0x45,0xc8,0xb2,0x3e]}

tool: {"D496": [0x40,0x56,0x29,0xd6,0xcf,0x2b,0x07,0x3e]}

tool: {"D914": [0x0f,0x4d,0x4a,0x59,0xcf,0xce,0x7e,0xbf]}

tool: {"D300": [0xbc,0xe6,0xbd,0x4a,0x61,0xfc,0xfc,0xbe]}

tool: {"D837": [0x9b,0x60,0x15,0x69,0x6b,0xf3,0x80,0x3e]}

tool: {"D279": [0xda,0x54,0xdf,0x5d,0x67,0x5e,0x10,0x3e]}

tool: {"D435": [0x25,0x50,0x24,0x19,0xed,0xe9,0xb3,0xbd]}

tool: {"D949": [0xe4,0x53,0x23,0x49,0xa0,0x51,0x01,0xbf]}

tool: {"D85": [0x2d,0xaf,0xa5,0xc9,0x09,0x83,0x99,0x3e]}

tool: {"D853": [0x57,0x27,0x46,0x6b,0x35,0x7a,0x40,0xbe]}

tool: {"D182": [0x61,0xf7,0x2f,0x26,0x08,0x7a,0xc9,0xbd]}

tool: {"D1199": [0x8b,0x87,0x54,0x54,0x4b,0x95,0x87,0x3d]}

tool: {"D638": [0xf6,0x68,0xb1,0x23,0xf5,0xba,0xd6,0x3e]}

tool: {"D521": [0x9b,0xcc,0x5a,0x74,0xff,0xc0,0xfc,0xbe]}

tool: {"D1152": [0xa4,0xa8,0x06,0xd8,0x74,0x8f,0x95,0xbe]}

tool: {"D715": [0x58,0xd0,0xf2,0x4f,0xfe,0x69,0x2b,0x3e]}

tool: {"D41": [0xb7,0x34,0xcf,0x2a,0x41,0xfc,0x80,0xbd]}

tool: {"D313": [0x8f,0x77,0xaa,0x37,0x2c,0xaa,0x7d,0xbe]}

tool: {"D270": [0xe8,0x94,0x78,0xf4,0xa0,0x57,0x05,0x3e]}

tool: {"D836": [0x5a,0x66,0xbb,0x13,0x58,0xc2,0xde,0xbd]}

tool: {"D1177": [0x61,0xf3,0x4c,0xa2,0x49,0x59,0xb5,0xbd]}

tool: {"D1251": [0x10,0xf7,0x4c,0x08,0xff,0xfe,0x14,0xbd]}

tool: {"D513": [0x3e,0xd3,0xdc,0x5f,0x9b,0x35,0x09,0x3d]}

tool: {"D389": [0xeb,0xc5,0x77,0x63,0x5d,0xa0,0xd5,0xbc]}

tool: {"D113": [0x2c,0x35,0x32,0x6d,0xf1,0x75,0x91,0x3c]}

tool: {"D43": [0x8f,0x15,0x07,0xbe,0xd4,0x1d,0xb0,0xbf]}

tool: {"D910": [0x2f,0x9e,0xf7,0x0f,0x47,0x0b,0x6d,0x3f]}

tool: {"D177": [0xfc,0x2c,0x45,0x01,0x00,0x83,0x3e,0x3f]}

tool: {"D1034": [0xd3,0xa6,0x84,0xcc,0x10,0xed,0xfd,0xbe]}

tool: {"D165": [0x98,0x26,0xa3,0xf3,0x3b,0x8f,0xa0,0x3e]}

tool: {"D1048": [0x6f,0xb3,0xdd,0x0b,0xa2,0x41,0xdf,0x3e]}

tool: {"D58": [0x18,0xe6,0x61,0x34,0xd2,0x57,0xb7,0xbd]}

tool: {"D810": [0x63,0xc6,0xe2,0xf0,0x2d,0xa3,0x08,0xbf]}

tool: {"D643": [0xe6,0xb9,0x56,0xee,0x68,0x2c,0xcc,0x3e]}

tool: {"D1173": [0x3f,0x56,0x29,0xd6,0xcf,0x2b,0x27,0x3e]}

tool: {"D371": [0x99,0x60,0x15,0x69,0x6b,0xf3,0x90,0x3e]}

tool: {"D316": [0x48,0xff,0xce,0x0c,0x9b,0x8d,0x28,0x3e]}

tool: {"D1125": [0x25,0x50,0x24,0x19,0xed,0xe9,0xd3,0xbd]}

tool: {"D351": [0x58,0x27,0x46,0x6b,0x35,0x7a,0x50,0xbe]}

tool: {"D1073": [0x88,0xf9,0xa3,0x1c,0x86,0x1b,0xe3,0xbd]}

tool: {"D603": [0x89,0x87,0x54,0x54,0x4b,0x95,0xa7,0x3d]}

tool: {"D825": [0x58,0xd0,0xf2,0x4f,0xfe,0x69,0x3b,0x3e]}

tool: {"D894": [0x14,0xcf,0x36,0xc0,0x61,0x7a,0x99,0xbd]}

tool: {"D766": [0x11,0xf7,0x4c,0x08,0xff,0xfe,0x24,0xbd]}

tool: {"D61": [0xfa,0x44,0x04,0x0a,0x58,0xa2,0xae,0xbf]}

tool: {"D1183": [0x1f,0x8c,0xa1,0x7f,0x86,0x0b,0x49,0x3f]}

tool: {"D534": [0x1f,0x7d,0x63,0x99,0xcc,0x71,0xf6,0xbe]}

tool: {"D349": [0x97,0x26,0xa3,0xf3,0x3b,0x8f,0x90,0x3e]}

tool: {"D1092": [0xd7,0xfd,0xb4,0x6d,0x70,0xfa,0x09,0xbf]}

tool: {"D1175": [0x61,0x43,0x3c,0x57,0x47,0x22,0xa3,0x3e]}

tool: {"D1024": [0x06,0x3b,0xe9,0x20,0x50,0xb7,0x48,0xbe]}

tool: {"D59": [0x89,0xf9,0xa3,0x1c,0x86,0x1b,0xd3,0xbd]}

tool: {"D1057": [0xa9,0x65,0x3f,0x7f,0xf8,0xaf,0x91,0x3d]}

tool: {"D469": [0xf6,0x68,0xb1,0x23,0xf5,0xba,0xe6,0x3e]}

tool: {"D617": [0xb4,0x8a,0x75,0x40,0x7b,0xb7,0xa4,0xbe]}

tool: {"D517": [0x40,0x72,0xfa,0x98,0x94,0x59,0x65,0xbe]}

tool: {"D169": [0x3d,0xae,0x24,0x03,0xdc,0x50,0xf5,0x3d]}

tool: {"D5": [0x56,0x66,0xbb,0x13,0x58,0xc2,0xee,0xbd]}

tool: {"D497": [0x61,0xf3,0x4c,0xa2,0x49,0x59,0xc5,0xbd]}

tool: {"D906": [0x3e,0xd3,0xdc,0x5f,0x9b,0x35,0x19,0x3d]}

tool: {"D500": [0x72,0xd4,0x99,0x0a,0x46,0x38,0xf0,0xbc]}

tool: {"D954": [0xc3,0x4f,0xcb,0x23,0xea,0x30,0xaa,0x3c]}

tool: {"D771": [0x2d,0x43,0x1c,0xeb,0xe2,0x36,0x1a,0x3f]}

assistant: ```c
void gsw_rho_first_derivatives(double sa, double ct, double p, double *drho_dsa, double *drho_dct, double *drho_dp) {
  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, c01 = -2.233269627352527e-2, c02 = -3.436090079851880e-4, c03 = 3.726050720345733e-6, c04 = -1.806789763745328e-4, c05 = 6.876837219536232e-7, c06 = -6.174065000748422e-7, c07 = -3.976733175851186e-8, c08 = -2.123038140592916e-11, c09 = 3.101865458440160e-10, c10 = -2.742185394906099e-5, c11 = -3.212746477974189e-7, c12 = 3.191413910561627e-9, c13 = -1.931012931541776e-12, c14 = -1.105097577149576e-7, c15 = 6.211426728363857e-10, c16 = -2.238023185750219e-10, c17 = -3.883320426297450e-11, c18 = -3.729652850731201e-14, c19 = 2.239044689758956e-14, c20 = -3.601523245654798e-15, c21 = 1.817370746264060e-16, pa2db = 1e-4;
  double sqrtsa, v_hat_denominator, v_hat_numerator;
  double dvhatden_dct, dvhatnum_dct, dvhatden_dsa, dvhatnum_dsa;
  double dvhatden_dp, dvhatnum_dp, rho, rec_num;
  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_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));
  dvhatden_dp = c01 + ct * (c02 + c03 * ct) + sa * (c04 + c05 * ct) + p * (c06 + ct * (c07 + c08 * ct) + c09 * sa);
  dvhatnum_dp = c10 + ct * (c11 + ct * (c12 + c13 * ct)) + sa * (c14 + c15 * ct) + p * (c16 + ct * (c17 + c18 * ct + c19 * sa) + p * (c20 + c21 * ct));
  rec_num = 1e0 / v_hat_numerator;
  rho = rec_num * v_hat_denominator;
  *drho_dsa = (dvhatden_dsa - dvhatnum_dsa * rho) * rec_num;
  *drho_dct = (dvhatden_dct - dvhatnum_dct * rho) * rec_num;
  *drho_dp = pa2db * (dvhatden_dp - dvhatnum_dp * rho) * rec_num;
  return;
}
```