mdp_matrix_test.h

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bool mdp_matrix_test() {
  mdp_matrix a(3,3), b, c;

  b=a;
  a=a+b; //Random.SU(3);

  assert(max(a*inv(a)-1)<mdp_precision);
  printf("inversion                   ...test passed\n");
  
  assert(max(2*a-mdp_complex(0,-1)*mdp_complex(0,2)*a)<mdp_precision);
  printf("operator*                   ...test passed\n");

  assert(max(a+3*a-4*a)<mdp_precision);
  assert(max(a+mdp_complex(3,2)*a-mdp_complex(4,2)*a)<mdp_precision);
  printf("operator+ and operator-     ...test passed\n");

  assert(max(exp(mdp_complex(0,1)*a)-cos(a)-mdp_complex(0,1)*sin(a))<mdp_precision);
  printf("exp, sin and cos            ...test passed\n");

  assert(max(a-log(exp(a)))<mdp_precision);
  printf("exp, log                    ...test passed\n");

  b=a;
  b*=mdp_complex(0,2);
  b/=mdp_complex(0,2);
  b+=mdp_complex(2,4);
  b-=mdp_complex(2,4);
  assert(max(a-b)<mdp_precision);
  printf("*=, /=, +=, -= (mdp_complex)    ...test passed\n");

  b=a;
  b*=2;
  b/=2;
  b+=3;
  b-=3;
  assert(max(a-b)<mdp_precision);
  printf("*=, /=, +=, -= (Real)       ...test passed\n");

  b=a;
  b*=a;
  b/=a;
  b+=a;
  b-=a;
  assert(max(a-b)<10.0*mdp_precision);
  printf("*=, /=, +=, -= (mdp_matrix)     ...test passed\n");

  return 1;
}

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