test_T2s_41.cpp

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#include "../../../src/FTensor.hpp"
#include "../test_for_zero.hpp"
#include <iostream>
using namespace FTensor;
using namespace std;
 
void test_T2s_41(Tensor2<double, 3, 3> &t2_1,
                 Tensor2_symmetric<double, 3> &t2s_1,
                 const Tensor2_symmetric<double, 3> &t2s_2)
{
  Index<'i', 3> i;
  Index<'j', 3> j;
  Index<'k', 3> k;
 
  Number<0> N0;
  Number<1> N1;
  Number<2> N2;
 
  /* Tensor2_symmetric tests */
 
  t2_1(0, 0) = t2s_2(0, 0);
  t2_1(0, 1) = t2s_2(0, 1);
  t2_1(0, 2) = t2s_2(0, 2);
  t2_1(1, 0) = t2s_2(1, 0);
  t2_1(1, 1) = t2s_2(1, 1);
  t2_1(1, 2) = t2s_2(1, 2);
  t2_1(2, 0) = t2s_2(2, 0);
  t2_1(2, 1) = t2s_2(2, 1);
  t2_1(2, 2) = t2s_2(2, 2);
 
  t2s_1(i, j) = t2s_2(i, k) ^ t2_1(k, j);
  test_for_zero(t2s_1(0, 0)
                  - (t2s_2(0, 0) * t2_1(0, 0) + t2s_2(0, 1) * t2_1(1, 0)
                     + t2s_2(0, 2) * t2_1(2, 0)),
                "T2s(i,k)^T2(k,j)(0,0)");
  test_for_zero(t2s_1(0, 1)
                  - (t2s_2(0, 0) * t2_1(0, 1) + t2s_2(0, 1) * t2_1(1, 1)
                     + t2s_2(0, 2) * t2_1(2, 1)),
                "T2s(i,k)^T2(k,j)(0,1)");
  test_for_zero(t2s_1(0, 2)
                  - (t2s_2(0, 0) * t2_1(0, 2) + t2s_2(0, 1) * t2_1(1, 2)
                     + t2s_2(0, 2) * t2_1(2, 2)),
                "T2s(i,k)^T2(k,j)(0,2)");
  test_for_zero(t2s_1(1, 0)
                  - (t2s_2(1, 0) * t2_1(0, 0) + t2s_2(1, 1) * t2_1(1, 0)
                     + t2s_2(1, 2) * t2_1(2, 0)),
                "T2s(i,k)^T2(k,j)(1,0)");
  test_for_zero(t2s_1(1, 1)
                  - (t2s_2(1, 0) * t2_1(0, 1) + t2s_2(1, 1) * t2_1(1, 1)
                     + t2s_2(1, 2) * t2_1(2, 1)),
                "T2s(i,k)^T2(k,j)(1,1)");
  test_for_zero(t2s_1(1, 2)
                  - (t2s_2(1, 0) * t2_1(0, 2) + t2s_2(1, 1) * t2_1(1, 2)
                     + t2s_2(1, 2) * t2_1(2, 2)),
                "T2s(i,k)^T2(k,j)(1,2)");
  test_for_zero(t2s_1(2, 0)
                  - (t2s_2(2, 0) * t2_1(0, 0) + t2s_2(2, 1) * t2_1(1, 0)
                     + t2s_2(2, 2) * t2_1(2, 0)),
                "T2s(i,k)^T2(k,j)(2,0)");
  test_for_zero(t2s_1(2, 1)
                  - (t2s_2(2, 0) * t2_1(0, 1) + t2s_2(2, 1) * t2_1(1, 1)
                     + t2s_2(2, 2) * t2_1(2, 1)),
                "T2s(i,k)^T2(k,j)(2,1)");
  test_for_zero(t2s_1(2, 2)
                  - (t2s_2(2, 0) * t2_1(0, 2) + t2s_2(2, 1) * t2_1(1, 2)
                     + t2s_2(2, 2) * t2_1(2, 2)),
                "T2s(i,k)^T2(k,j)(2,2)");
  t2s_1(i, j) = t2_1(k, j) ^ t2s_2(i, k);
  test_for_zero(t2s_1(0, 0)
                  - (t2s_2(0, 0) * t2_1(0, 0) + t2s_2(0, 1) * t2_1(1, 0)
                     + t2s_2(0, 2) * t2_1(2, 0)),
                "T2(k,j)^T2s(i,k)(0,0)");
  test_for_zero(t2s_1(0, 1)
                  - (t2s_2(0, 0) * t2_1(0, 1) + t2s_2(0, 1) * t2_1(1, 1)
                     + t2s_2(0, 2) * t2_1(2, 1)),
                "T2(k,j)^T2s(i,k)(0,1)");
  test_for_zero(t2s_1(0, 2)
                  - (t2s_2(0, 0) * t2_1(0, 2) + t2s_2(0, 1) * t2_1(1, 2)
                     + t2s_2(0, 2) * t2_1(2, 2)),
                "T2(k,j)^T2s(i,k)(0,2)");
  test_for_zero(t2s_1(1, 0)
                  - (t2s_2(1, 0) * t2_1(0, 0) + t2s_2(1, 1) * t2_1(1, 0)
                     + t2s_2(1, 2) * t2_1(2, 0)),
                "T2(k,j)^T2s(i,k)(1,0)");
  test_for_zero(t2s_1(1, 1)
                  - (t2s_2(1, 0) * t2_1(0, 1) + t2s_2(1, 1) * t2_1(1, 1)
                     + t2s_2(1, 2) * t2_1(2, 1)),
                "T2(k,j)^T2s(i,k)(1,1)");
  test_for_zero(t2s_1(1, 2)
                  - (t2s_2(1, 0) * t2_1(0, 2) + t2s_2(1, 1) * t2_1(1, 2)
                     + t2s_2(1, 2) * t2_1(2, 2)),
                "T2(k,j)^T2s(i,k)(1,2)");
  test_for_zero(t2s_1(2, 0)
                  - (t2s_2(2, 0) * t2_1(0, 0) + t2s_2(2, 1) * t2_1(1, 0)
                     + t2s_2(2, 2) * t2_1(2, 0)),
                "T2(k,j)^T2s(i,k)(2,0)");
  test_for_zero(t2s_1(2, 1)
                  - (t2s_2(2, 0) * t2_1(0, 1) + t2s_2(2, 1) * t2_1(1, 1)
                     + t2s_2(2, 2) * t2_1(2, 1)),
                "T2(k,j)^T2s(i,k)(2,1)");
  test_for_zero(t2s_1(2, 2)
                  - (t2s_2(2, 0) * t2_1(0, 2) + t2s_2(2, 1) * t2_1(1, 2)
                     + t2s_2(2, 2) * t2_1(2, 2)),
                "T2(k,j)^T2s(i,k)(2,2)");
}