结构化Prompt模板：代码作用： UG\NX二次开发 获取三平面交点。示例代码：
double fx(double dA1, double dB1, double dC1,
double dA2, double dB2, double dC2,
double dA3, double dB3, double dC3)
{
double result=0.0;
result = dA1*dB2*dC3 + dB1*dC2*dA3 + dC1*dA2*dB3 - dA1*dC2*dB3 - dB1*dA2*dC3 - dC1*dB2*dA3;
return result;
}
//三元一次方程组求解，如果返回值不为0 则方程组无解
//douA1x + douB1y + douC1z = douD1
//douA2x + douB2y + douC2z = douD2
//douA3x + douB3y + douC3z = douD3
int equation_three_unknowns(
double douA1, double douB1, double douC1, double douD1
, double douA2, double douB2, double douC2, double douD2
, double douA3, double douB3, double douC3, double douD3
, double *dou_x, double *dou_y, double *dou_z)
{
double m = fx(douA1, douB1, douC1, douA2, douB2, douC2, douA3, douB3, douC3);
if (m == 0)
{
*dou_x = 0.0;
*dou_y = 0.0;
*dou_z = 0.0;
return 1;
}
*dou_x = fx(douD1, douB1, douC1, douD2, douB2, douC2, douD3, douB3, douC3) / (float)m;
*dou_y = fx(douA1, douD1, douC1, douA2, douD2, douC2, douA3, douD3, douC3) / (float)m;
*dou_z = fx(douA1, douB1, douD1, douA2, douB2, douD2, douA3, douB3, douD3) / (float)m;
return 0;
}
//如果返回值不为0 则此三个面没交点
int three_faces_point(tag_t tagFace1, tag_t tagFace2, tag_t tagFace3, double *dou_x, double *dou_y, double *dou_z)
{
*dou_x = 0.0;
*dou_y = 0.0;
*dou_z = 0.0;
int type_cylinder; //曲面类型
double point_cylinder[3]; //返回一个点
double face_dir[3]; //面法向
double box_cylinder[6]; //面的边界。返回曲面包围盒的空间对角线角点坐标
double radius_cylinder; //曲面大半径！
double rad_data_cylinder; //曲面小半径！
int norm_dir_cylinder; //面的法向与UV方向的关系！
double douA1, douB1, douC1, douA2, douB2, douC2, douA3, douB3, douC3;
double x01, y01, z01, x02, y02, z02, x03, y03, z03;
UF_MODL_ask_face_data(tagFace1, &type_cylinder, point_cylinder, face_dir, box_cylinder, &radius_cylinder, &rad_data_cylinder, &norm_dir_cylinder);
douA1 = face_dir[0];
douB1 = face_dir[1];
douC1 = face_dir[2];
x01 = point_cylinder[0];
y01 = point_cylinder[1];
z01 = point_cylinder[2];
UF_MODL_ask_face_data(tagFace2, &type_cylinder, point_cylinder, face_dir, box_cylinder, &radius_cylinder, &rad_data_cylinder, &norm_dir_cylinder);
douA2 = face_dir[0];
douB2 = face_dir[1];
douC2 = face_dir[2];
x02 = point_cylinder[0];
y02 = point_cylinder[1];
z02 = point_cylinder[2];
UF_MODL_ask_face_data(tagFace3, &type_cylinder, point_cylinder, face_dir, box_cylinder, &radius_cylinder, &rad_data_cylinder, &norm_dir_cylinder);
douA3 = face_dir[0];
douB3 = face_dir[1];
douC3 = face_dir[2];
x03 = point_cylinder[0];
y03 = point_cylinder[1];
z03 = point_cylinder[2];
//A(x-x0)+B(y-y0)+C(z-z0)=0(面的点法式方程) ==> Ax+By+Cz=Ax0+By0+Cz0（转化为此形式可以求三元一次方程组求解）
int err = equation_three_unknowns(douA1, douB1, douC1, douA1*x01 + douB1*y01 + douC1*z01
, douA2, douB2, douC2, douA2*x02 + douB2*y02 + douC2*z02
, douA3, douB3, douC3, douA3*x03 + douB3*y03 + douC3*z03
,dou_x, dou_y, dou_z
);
return err;
}
请生成1个NX / UG API技术问题，格式："如何通过NX/UG API实现[具体功能]？"，需提取所有核心代码生成一个函数，进行代码说明 / 注意事项/问题拓展。
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