// // LAPACK++ 1.1 Linear Algebra Package 1.1 // University of Tennessee, Knoxvilee, TN. // Oak Ridge National Laboratory, Oak Ridge, TN. // Authors: J. J. Dongarra, E. Greaser, R. Pozo, D. Walker // (C) 1992-1996 All Rights Reserved // // NOTICE // // Permission to use, copy, modify, and distribute this software and // its documentation for any purpose and without fee is hereby granted // provided that the above copyright notice appear in all copies and // that both the copyright notice and this permission notice appear in // supporting documentation. // // Neither the Institutions (University of Tennessee, and Oak Ridge National // Laboratory) nor the Authors make any representations about the suitability // of this software for any purpose. This software is provided ``as is'' // without express or implied warranty. // // LAPACK++ was funded in part by the U.S. Department of Energy, the // National Science Foundation and the State of Tennessee. //#include "lapackpp.h" #define LA_BOUNDS_CHECK #include /* for atoi() and exit() */ #include "lafnames.h" #include LA_EXCEPTION_H #include LA_GEN_MAT_DOUBLE_H #include "laexcp.h" #include LA_TEMPLATES_H #include bool output = true; int test_scale(int N) { LaGenMatDouble bla1, bla2; la::ones(bla1, N); la::ones(bla2, N); bla1 *= 2.0; bla2.add(1.0); if (bla1.equal_to(bla2)) if (output) std::cout << "la::equal is true (correct)" << std::endl; else { if (output) std::cout << "la::equal is false (oops, wrong)" << std::endl; return 1; } return 0; } int test_templates() { LaGenMatDouble bla, eye; la::ones(bla, 4, 5); la::zeros(bla, 3, 3); la::eye(eye, 3, 3); LaGenMatDouble foo(la::ones(1, 3)); la::from_diag(bla, foo); if (la::equal(eye, bla)) if (output) std::cout << "la::equal is true (correct)" << std::endl; else { if (output) std::cout << "la::equal is false (oops, wrong)" << std::endl; return 1; } LaGenMatDouble eye2(la::from_diag(la::ones(1, 4))); if (la::equal(eye2, la::eye(4, 4))) if (output) std::cout << "la::equal is true (correct)" << std::endl; else { if (output) std::cout << "la::equal is false (oops, wrong)" << std::endl; return 1; } la::trace(bla); la::rand(bla); bla = la::linspace(1, 49, 10); LaGenMatDouble blub = la::repmat(bla, 2, 4); if (output) std::cout << "repmat: " << blub << "end of blub." << std::endl; if (output) std::cout << "Row index 1 of blub: " << blub.row(1) << std::endl; blub.row(1) = 2.0; if (output) std::cout << "Row 1 assigned to 2; blub is: " << blub << std::endl; if (blub(1,1) != 2.0) return 1; return 0; } int test_index() { LaGenMatDouble A(10,10), B, C; LaIndex II(1,9,2); LaIndex JJ(1,1,1); // Note: The elements of A are not yet initialized; now // initialize them to zero A = 0.0; B.ref(A(II,II)); // B references the following elements of A: // (1, 1), (1, 3), (1, 5), (1, 7), (1, 9) // (3, 1), (3, 3), (3, 5), (3, 7), (3, 9) // (5, 1), (5, 3), (5, 5), (5, 7), (5, 9) // (7, 1), (7, 3), (7, 5), (7, 7), (7, 9) // (9, 1), (9, 3), (9, 5), (9, 7), (9, 9) B(2,3) = 3.1; // Set A(5,7) = 3.1 if (A(5, 7) != 3.1) return 1; C.ref(B(LaIndex(2,2,4), JJ)); // C references the following elements of B: // (2, 1) // C references the following elements of A: // (5, 3) C = 1.1; // Set B(2,1) = A(5,3) = 1.1 if (A(5, 3) != 1.1) return 1; if (B(2, 1) != 1.1) return 1; if (output) { std::cout << "Test the index operator; A: the following matrix should be almost zeros" << std::endl; std::cout << A << std::endl; std::cout << "Test the index operator; B: This should be a 5x5 matrix" << std::endl; std::cout << B << std::endl; std::cout << "Test the index operator; C: This should return '1.1'" << std::endl; std::cout << C; C.Info(std::cout) << std::endl; } return 0; } int test_inject() { LaGenMatDouble A(3,3), B(3,3), C(2,2); A = 0; // element assignments to submatrix views will work: A(LaIndex(0,2),LaIndex(0,2))=1; B(LaIndex(0,2),LaIndex(0,2))=2; // note: parts of B are still uninitialized C(LaIndex(0,1),LaIndex(0,1))=3; A(LaIndex(0,1),LaIndex(0,1)).inject(C); // B(LaIndex(0,1),LaIndex(0,1))=C; // ^^ will break due to copy(), but inject() would work. // use a submatrix view to modify a column of A LaGenMatDouble D(A(LaIndex(), LaIndex(1))); D(0,0) = 4; D(1,0) = 5; D(2,0) = 6; // and check whether the resulting matrix is correct double expected_res[] = { 3, 4, 1, 3, 5, 1, 1, 6, 1}; LaGenMatDouble expected(expected_res, 3, 3, true); // row-ordered if (output) std::cout<< " Matrix A: " << A <= 3); exit(1); } if (argc > 3) if (std::string(argv[3])=="q") output = false; M = atoi(argv[1]); N = atoi(argv[2]); double v[100]; // = {4.0}; for (int k=0;k<100;k++) v[k] = 4.0; // Test constructors // LaGenMatDouble A; if (output) std::cout << std::endl << "null consturctor " << std::endl; if (output) std::cout << "A(): " << A.info() << std::endl; if (output) std::cout << std::endl << "(int, int) constructor " << std::endl; LaGenMatDouble C(M,N); if (output) std::cout << "C(M,N): " << C.info() << std::endl; // C.debug(1); if (output) std::cout << std::endl << "X(const &X) constructor " << std::endl; LaGenMatDouble D(C); // D is also N,N if (output) std::cout << "D(C) :" << D.info() << std::endl; if (output) std::cout << std::endl; LaGenMatDouble K, O(100,100); LaGenMatDouble L(O(LaIndex(2,4),LaIndex(2,8))); if (output) std::cout << "L(O(LaIndex(2,4),LaIndex(2,8)))\n"; L = 0.0; if (output) std::cout << "L: " << L.info() << std::endl; if (output) std::cout << std::endl <<"K.copy(L) " << std::endl; K.copy(L); if (output) std::cout << "K: " << K.info() << std::endl; if (output) std::cout << "K:\n" << K << std::endl; LaIndex I(std::min(2,M-1),M-1), J(1,N-1); // evens, odd if (output) std::cout << std::endl << "create indices I=" << I << ", J=" << J << std::endl; LaGenMatDouble E(C(I, J)); if (output) std::cout << std::endl << "X(const &X) constructor with submatrices " << std::endl; if (output) std::cout << "E(C(I,J)): " << E.info() << std::endl; for (j=0;j