From: wolf <wolf@0785d39b-7218-0410-832d-ea1e28bc413d>
Date: Mon, 18 Jul 2005 19:00:43 +0000 (+0000)
Subject: New test.
X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=dea495fd9591e4878b2999eceb2d26de6932f803;p=dealii-svn.git

New test.


git-svn-id: https://svn.dealii.org/trunk@11162 0785d39b-7218-0410-832d-ea1e28bc413d
---

diff --git a/tests/base/symmetric_tensor_19.cc b/tests/base/symmetric_tensor_19.cc
new file mode 100644
index 0000000000..76c295407e
--- /dev/null
+++ b/tests/base/symmetric_tensor_19.cc
@@ -0,0 +1,134 @@
+//----------------------------  symmetric_tensor_19.cc  ---------------------------
+//    $Id$
+//    Version: $Name$ 
+//
+//    Copyright (C) 2005 by the deal.II authors
+//
+//    This file is subject to QPL and may not be  distributed
+//    without copyright and license information. Please refer
+//    to the file deal.II/doc/license.html for the  text  and
+//    further information on this license.
+//
+//----------------------------  symmetric_tensor_19.cc  ---------------------------
+
+// check inversion of rank-4 tensor
+
+#include "../tests.h"
+#include <base/symmetric_tensor.h>
+#include <base/logstream.h>
+#include <fstream>
+#include <iostream>
+
+
+
+
+template <int dim>
+void check (const SymmetricTensor<4,dim> &A)
+{
+  const SymmetricTensor<4,dim> B = invert (A);
+
+                                   // check left inverse
+  deallog << "    checking left inverse" << std::endl;
+  const SymmetricTensor<4,dim> T_left = B*A;
+  for (unsigned int i=0; i<dim; ++i)
+    for (unsigned int j=0; j<dim; ++j)
+      for (unsigned int k=0; k<dim; ++k)
+	for (unsigned int l=0; l<dim; ++l)
+	  {
+	    deallog << "      "
+                    << A[i][j][k][l] << ' '
+                    << B[i][j][k][l] << ' '
+                    << T_left[i][j][k][l] << std::endl;
+
+	    Assert (std::fabs(T_left[i][j][k][l] -
+                              identity_tensor<dim>()[i][j][k][l])
+                    < 1e-10,
+		    ExcInternalError());
+	  }
+
+                                   // check left inverse
+  deallog << "    checking right inverse" << std::endl;
+  const SymmetricTensor<4,dim> T_right = A*B;
+  for (unsigned int i=0; i<dim; ++i)
+    for (unsigned int j=0; j<dim; ++j)
+      for (unsigned int k=0; k<dim; ++k)
+	for (unsigned int l=0; l<dim; ++l)
+	  {
+	    deallog << "      "
+                    << A[i][j][k][l] << ' '
+                    << B[i][j][k][l] << ' '
+                    << T_right[i][j][k][l] << std::endl;
+
+	    Assert (std::fabs(T_right[i][j][k][l] -
+                              identity_tensor<dim>()[i][j][k][l])
+                    < 1e-10,
+		    ExcInternalError());
+	  }
+}
+
+  
+
+template <int dim>
+void test ()
+{
+  deallog << "dim=" << dim << std::endl;
+
+  deallog << "  unit tensor" << std::endl;
+  check (identity_tensor<dim>());
+
+                                   // do something with a more complicated
+                                   // tensor. make sure it is not
+                                   // rank-deficient, so choose elements by
+                                   // hand
+  deallog << "  complicated tensor" << std::endl;
+  SymmetricTensor<4,dim> A;
+  switch (dim)
+    {
+      case 1:
+            A[0][0][0][0] = 2;
+            break;
+            
+      case 2:
+            A[0][0][0][0] = 2;
+            A[0][0][1][1] = 4;
+            A[0][0][0][1] = 8;
+            A[1][1][0][0] = 4;
+            A[1][1][1][1] = 6;
+            A[1][1][0][1] = 10;
+            A[0][1][0][0] = 6;
+            A[0][1][1][1] = 10;
+            A[0][1][0][1] = 16;
+            break;
+
+      case 3:
+                                             // I'm too lazy to code something
+                                             // up by hand here
+            for (unsigned int i=0; i<3; ++i)
+              for (unsigned int j=0; j<3; ++j)
+                for (unsigned int k=0; k<3; ++k)
+                  for (unsigned int l=0; l<3; ++l)
+                    A[i][j][k][l] = 1.*rand()/RAND_MAX;
+            break;
+            
+      default:
+            Assert (false, ExcNotImplemented());
+    }
+  check (A);
+}
+
+
+
+int main ()
+{
+  std::ofstream logfile("symmetric_tensor_19.output");
+  logfile.precision(3);
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  test<1> ();
+  test<2> ();
+  test<3> ();
+  
+  deallog << "OK" << std::endl;
+}