user: Demonstrate the C code that generates the assembly output below:

```asm
<math_gauss_quad_coefficients>:
  endbr64
  mov    %rdx,%r8
  lea    -0x1(%rdi),%edx
  imul   %edi,%edx
  mov    %edx,%eax
  shr    $0x1f,%eax
  add    %edx,%eax
  lea    D15(%rip),%rdx
  sar    %eax
  cltq
  shl    $0x3,%rax
  add    %rax,%rdx
  mov    %rdx,(%rsi)
  lea    D16(%rip),%rdx
  add    %rdx,%rax
  mov    %rax,(%r8)
  ret
```

tool_calls: name: parse_data
arguments: data_label: D15
data_type: f64
name: parse_data
arguments: data_label: D16
data_type: f64

tool: D15: 0.5

tool: D16: 1

assistant: ```c
void math_gauss_quad_coefficients(int n, const double **xGQ, const double **wGQ) {
  static const double x[] = {0.5000000000000000, 0.2113248654051871, 0.7886751345948129, 0.1127016653792583, 0.5000000000000000, 0.8872983346207417, 0.0694318442029737, 0.3300094782075719, 0.6699905217924281, 0.9305681557970262, 0.0469100770306680, 0.2307653449471584, 0.5000000000000000, 0.7692346550528415, 0.9530899229693319, 0.0337652428984240, 0.1693953067668678, 0.3806904069584016, 0.6193095930415985, 0.8306046932331322, 0.9662347571015760, 0.0254460438286208, 0.1292344072003028, 0.2970774243113014, 0.5000000000000000, 0.7029225756886985, 0.8707655927996972, 0.9745539561713792, 0.0198550717512319, 0.1016667612931866, 0.2372337950418355, 0.4082826787521751, 0.5917173212478249, 0.7627662049581645, 0.8983332387068134, 0.9801449282487682, 0.0159198802461870, 0.0819844463366821, 0.1933142836497048, 0.3378732882980955, 0.5000000000000000, 0.6621267117019045, 0.8066857163502952, 0.9180155536633179, 0.9840801197538130, 0.0130467357414141, 0.0674683166555077, 0.1602952158504878, 0.2833023029353764, 0.4255628305091844, 0.5744371694908156, 0.7166976970646236, 0.8397047841495122, 0.9325316833444923, 0.9869532642585859, 0.0108856709269715, 0.0564687001159523, 0.1349239972129753, 0.2404519353965941, 0.3652284220238275, 0.5000000000000000, 0.6347715779761725, 0.7595480646034058, 0.8650760027870247, 0.9435312998840477, 0.9891143290730284, 0.0092196828766404, 0.0479413718147625, 0.1150486629028477, 0.2063410228566913, 0.3160842505009099, 0.4373832957442655, 0.5626167042557344, 0.6839157494990901, 0.7936589771433087, 0.8849513370971523, 0.9520586281852375, 0.9907803171233596};
  static const double w[] = {1.0000000000000000, 0.5000000000000000, 0.5000000000000000, 0.2777777777777778, 0.4444444444444444, 0.2777777777777778, 0.1739274225687269, 0.3260725774312731, 0.3260725774312731, 0.1739274225687269, 0.1184634425280946, 0.2393143352496833, 0.2844444444444444, 0.2393143352496833, 0.1184634425280946, 0.0856622461895852, 0.1803807865240693, 0.2339569672863455, 0.2339569672863455, 0.1803807865240693, 0.0856622461895852, 0.0647424830844349, 0.1398526957446383, 0.1909150252525595, 0.2089795918367347, 0.1909150252525595, 0.1398526957446383, 0.0647424830844349, 0.0506142681451881, 0.1111905172266872, 0.1568533229389436, 0.1813418916891810, 0.1813418916891810, 0.1568533229389436, 0.1111905172266872, 0.0506142681451881, 0.0406371941807872, 0.0903240803474287, 0.1303053482014677, 0.1561735385200015, 0.1651196775006299, 0.1561735385200015, 0.1303053482014677, 0.0903240803474287, 0.0406371941807872, 0.0333356721543440, 0.0747256745752903, 0.1095431812579910, 0.1346333596549981, 0.1477621123573765, 0.1477621123573765, 0.1346333596549981, 0.1095431812579910, 0.0747256745752903, 0.0333356721543440, 0.0278342835580868, 0.0627901847324523, 0.0931451054638671, 0.1165968822959952, 0.1314022722551233, 0.1364625433889503, 0.1314022722551233, 0.1165968822959952, 0.0931451054638671, 0.0627901847324523, 0.0278342835580868, 0.0235876681932559, 0.0534696629976592, 0.0800391642716731, 0.1015837133615330, 0.1167462682691774, 0.1245735229067014, 0.1245735229067014, 0.1167462682691774, 0.1015837133615330, 0.0800391642716731, 0.0534696629976592, 0.0235876681932559};
  n *= n - 1;
  n /= 2;
  *xGQ = x + n;
  *wGQ = w + n;
}
```