private static void test03()
//****************************************************************************80
//
// Purpose:
//
// TEST03 writes out some rules for the unit wedge.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 20 August 2014
//
// Author:
//
// John Burkardt
//
// Parameters:
//
{
const int dim_num = 3;
int[] line_order_array =
{
1, 2, 2, 3, 2, 3, 4
}
;
int rule;
const int rule_num = 7;
int[] triangle_order_array =
{
1, 3, -3, 6, -6, 7, 12
}
;
string w_filename = "";
double[] x;
string x_filename = "";
Console.WriteLine("");
Console.WriteLine("TEST03");
Console.WriteLine(" For the unit wedge,");
Console.WriteLine(" write some rules to a file");
Console.WriteLine("");
Console.WriteLine(" Rule Trig Line Total W_File X_File");
Console.WriteLine(" Order Order Order");
Console.WriteLine("");
for (rule = 0; rule < rule_num; rule++)
{
switch (rule)
{
case 0:
w_filename = "wedge_felippa_1x1_w.txt";
x_filename = "wedge_felippa_1x1_x.txt";
break;
case 1:
w_filename = "wedge_felippa_3x2_w.txt";
x_filename = "wedge_felippa_3x2_x.txt";
break;
case 2:
w_filename = "wedge_felippa_3bx2_w.txt";
x_filename = "wedge_felippa_3bx2_x.txt";
break;
case 3:
w_filename = "wedge_felippa_6x3_w.txt";
x_filename = "wedge_felippa_6x3_x.txt";
break;
case 4:
w_filename = "wedge_felippa_6bx2_w.txt";
x_filename = "wedge_felippa_6bx2_x.txt";
break;
case 5:
w_filename = "wedge_felippa_7x3_w.txt";
x_filename = "wedge_felippa_7x3_x.txt";
break;
case 6:
w_filename = "wedge_felippa_12x4_w.txt";
x_filename = "wedge_felippa_12x4_x.txt";
break;
}
int line_order = line_order_array[rule];
int triangle_order = triangle_order_array[rule];
int order = line_order * Math.Abs(triangle_order);
double[] w = new double[order];
x = new double[dim_num * order];
QuadratureRule.wedge_rule(line_order, triangle_order, ref w, ref x);
typeMethods.r8mat_write(w_filename, 1, order, w);
typeMethods.r8mat_write(x_filename, dim_num, order, x);
Console.WriteLine(rule.ToString(CultureInfo.InvariantCulture).PadLeft(6) + " "
+ triangle_order.ToString(CultureInfo.InvariantCulture).PadLeft(6) + " "
+ line_order.ToString(CultureInfo.InvariantCulture).PadLeft(6) + " "
+ order.ToString(CultureInfo.InvariantCulture).PadLeft(6) + " "
+ w_filename + " "
+ x_filename + "");
}
}
private static void test01(int degree_max)
//****************************************************************************80
//
// Purpose:
//
// TEST01 tests WEDGE_INTEGRAL.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 20 August 2014
//
// Author:
//
// John Burkardt
//
// Parameters:
//
// Input, int DEGREE_MAX, the maximum total degree of the
// monomials to check.
//
{
int alpha;
int[] expon = new int[3];
Console.WriteLine("");
Console.WriteLine("TEST01");
Console.WriteLine(" For the unit wedge,");
Console.WriteLine(" WEDGE_INTEGRAL returns the exact value of the");
Console.WriteLine(" integral of X^ALPHA Y^BETA Z^GAMMA");
Console.WriteLine("");
Console.WriteLine(" Volume = " + QuadratureRule.wedge_volume() + "");
Console.WriteLine("");
Console.WriteLine(" ALPHA BETA GAMMA INTEGRAL");
Console.WriteLine("");
for (alpha = 0; alpha <= degree_max; alpha++)
{
expon[0] = alpha;
int beta;
for (beta = 0; beta <= degree_max - alpha; beta++)
{
expon[1] = beta;
int gamma;
for (gamma = 0; gamma <= degree_max - alpha - beta; gamma++)
{
expon[2] = gamma;
double value = QuadratureRule.wedge_integral(expon);
Console.WriteLine(expon[0].ToString(CultureInfo.InvariantCulture).PadLeft(8) + " "
+ expon[1].ToString(CultureInfo.InvariantCulture).PadLeft(8) + " "
+ expon[2].ToString(CultureInfo.InvariantCulture).PadLeft(8) + " "
+ value.ToString(CultureInfo.InvariantCulture).PadLeft(14) + "");
}
}
}
}
private static void test02(int degree_max)
//****************************************************************************80
//
// Purpose:
//
// TEST02 tests the rules for the unit wedge.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 20 August 2014
//
// Author:
//
// John Burkardt
//
// Parameters:
//
// Input, int DEGREE_MAX, the maximum total degree of the
// monomials to check.
//
{
const int dim_num = 3;
int[] expon = new int[3];
int h = 0;
int[] line_order_array =
{
1, 2, 2, 3, 2, 3, 4
}
;
int t = 0;
const int test_num = 7;
int[] triangle_order_array =
{
1, 3, -3, 6, -6, 7, 12
}
;
Console.WriteLine("");
Console.WriteLine("TEST02");
Console.WriteLine(" For the unit wedge,");
Console.WriteLine(" we approximate monomial integrals with WEDG_UNIT_RULE.");
bool more = false;
SubCompData data = new();
for (;;)
{
SubComp.subcomp_next(ref data, degree_max, dim_num, ref expon, ref more, ref h, ref t);
if (expon[2] % 2 == 1)
{
if (!more)
{
break;
}
continue;
}
Console.WriteLine("");
Console.WriteLine(" Monomial exponents: "
+ expon[0].ToString(CultureInfo.InvariantCulture).PadLeft(2) + " "
+ expon[1].ToString(CultureInfo.InvariantCulture).PadLeft(2) + " "
+ expon[2].ToString(CultureInfo.InvariantCulture).PadLeft(2) + "");
Console.WriteLine("");
int test;
double quad;
for (test = 0; test < test_num; test++)
{
int line_order = line_order_array[test];
int triangle_order = triangle_order_array[test];
int order = line_order * Math.Abs(triangle_order);
double[] w = new double[order];
double[] xyz = new double[dim_num * order];
QuadratureRule.wedge_rule(line_order, triangle_order, ref w, ref xyz);
double[] v = Monomial.monomial_value(dim_num, order, expon, xyz);
quad = QuadratureRule.wedge_volume() * typeMethods.r8vec_dot_product(order, w, v);
Console.WriteLine(triangle_order.ToString(CultureInfo.InvariantCulture).PadLeft(6) + " "
+ line_order.ToString(CultureInfo.InvariantCulture).PadLeft(6) + " "
+ quad.ToString(CultureInfo.InvariantCulture).PadLeft(14) + "");
}
Console.WriteLine("");
quad = QuadratureRule.wedge_integral(expon);
Console.WriteLine(" Exact "
+ quad.ToString(CultureInfo.InvariantCulture).PadLeft(14) + "");
if (!more)
{
break;
}
}
}