/**
* 构造下列形函数中的一个： N1 = L1 = r N2 = L2 = s N3 = L3 = t
*
* @param funID = 1,2,3
*/
public void Create(int funID, double coef) {
funIndex = funID - 1;
if (funID < 1 || 3 < funID) {
throw new FutureyeException("ERROR: funID should be 1,2 or 3.");
}
this.varNames = new String[] {"r", "s", "t"};
innerVarNames = new ObjList<String>("x", "y");
// Compose function: r = r(x,y), s = s(x,y), t = t(x,y)
Map<String, MathFunc> fInners = new HashMap<String, MathFunc>();
final String varName = varNames[funIndex];
fInners.put(
varName,
new AbstractMathFunc(innerVarNames.toList()) {
public MathFunc diff(String var) {
if (area < 0.0) {
throw new FutureyeException("Check nodes order: area < 0.0");
} else {
if (varName.equals("r")) { // r对应三角形高h的负倒数
if (var.equals("x")) return new FC(b[0] / (2 * area));
if (var.equals("y")) return new FC(c[0] / (2 * area));
} else if (varName.equals("s")) { // s对应三角形高h的负倒数
if (var.equals("x")) return new FC(b[1] / (2 * area));
if (var.equals("y")) return new FC(c[1] / (2 * area));
} else if (varName.equals("t")) { // t对应三角形高h的负倒数
if (var.equals("x")) return new FC(b[2] / (2 * area));
if (var.equals("y")) return new FC(c[2] / (2 * area));
}
}
return null;
}
@Override
public double apply(double... args) {
throw new UnsupportedOperationException();
}
});
// 使用复合函数构造形函数
funOuter = new SF123();
this.coef = coef;
funCompose = FC.c(this.coef).M(funOuter.compose(fInners));
funCompose.setActiveVarNames(funOuter.getVarNames());
}
/**
* 构造下列形函数中的一个： Ni = (1+r*ri)*(1+s*si)*(1+t*ti)/8 where (ri,si,ti),i=1,...,8 are vertices
* coordinate of the hexahedron
*
* @param funID = 1,...,8
*/
public void Create(int funID, double coef) {
funIndex = funID - 1;
if (funID < 1 || funID > 8) {
System.out.println("ERROR: funID should be 1,...,8.");
return;
}
varNames.add("r");
varNames.add("s");
varNames.add("t");
innerVarNames = new ObjList<String>("x", "y", "z");
// 复合函数
Map<String, MathFunc> fInners = new HashMap<String, MathFunc>(4);
for (final String varName : varNames) {
fInners.put(
varName,
new AbstractMathFunc(innerVarNames.toList()) {
// r_x,r_y,r_z, s_x,s_y,s_z, t_x,t_y,t_z
public MathFunc diff(String var) {
/**
* f(x,y,z) = g(r,s,t) f_x = g_r*r_x + g_s*s_x + g_t*t_x ---(1) f_y = g_r*r_y +
* g_s*s_y + g_t*t_y ---(2) f_z = g_r*r_z + g_s*s_z + g_t*t_z ---(3)
*
* <p>for (1) let f=x,f=y,f=z we get 3 equations, solve them: (x_r x_s x_t) (r_x) (1)
* (y_r y_s y_z) * (s_x) = (0) (z_r z_s z_t) (t_x) (0)
*
* <p>similarly, for (2): (x_r x_s x_t) (r_y) (0) (y_r y_s y_z) * (s_y) = (1) (z_r z_s
* z_t) (t_y) (0)
*
* <p>for (3): (x_r x_s x_t) (r_z) (0) (y_r y_s y_z) * (s_z) = (0) (z_r z_s z_t) (t_z)
* (1)
*
* <p>(x_r x_s x_t) Let J = (y_r y_s y_z) (z_r z_s z_t)
*
* <p>from the above 9 equations, we have: (r_x r_y r_z) (s_x s_y s_z) = inv(J) (t_x
* t_y t_z)
*/
return new InvJ(varName, var);
}
@Override
public double apply(Variable v) {
// TODO Auto-generated method stub
return 0;
}
});
}
// funOuter = new FAxpb("r",vt[funIndex][0]/2.0,0.5).M(
// new FAxpb("s",vt[funIndex][1]/2.0,0.5)).M(
// new FAxpb("t",vt[funIndex][2]/2.0,0.5));
// 速度提高1倍
funOuter = new FOuter(varNames, funIndex);
// 使用复合函数构造形函数
this.coef = coef;
funCompose = FC.c(this.coef).M(funOuter.compose(fInners));
}
