| [426] | 1 | #include "../bdm/math/square_mat.h" |
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| 2 | #include "../bdm/math/chmat.h" |
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| 3 | #include "mat_checks.h" |
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| 4 | #include "UnitTest++.h" |
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| 5 | #include <math.h> |
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| 6 | |
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| 7 | const double epsilon = 0.00001; |
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| 8 | |
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| 9 | bool fast = false; |
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| 10 | |
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| 11 | namespace UnitTest |
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| 12 | { |
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| 13 | |
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| 14 | void CheckClose(TestResults &results, const itpp::mat &expected, |
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| 15 | const itpp::mat &actual, double tolerance, |
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| 16 | TestDetails const& details) { |
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| 17 | if (!AreClose(expected, actual, tolerance)) { |
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| 18 | MemoryOutStream stream; |
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| 19 | stream << "Expected " << expected << " +/- " << tolerance << " but was " << actual; |
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| 20 | |
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| 21 | results.OnTestFailure(details, stream.GetText()); |
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| 22 | } |
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| 23 | } |
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| 24 | |
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| 25 | } |
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| 26 | |
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| 27 | template<typename TMatrix> |
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| 28 | void test_square_matrix_minimum(double epsilon) { |
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| 29 | int sz = 3; |
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| 30 | mat A0 = randu(sz, sz); |
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| 31 | mat A = A0 * A0.T(); |
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| 32 | |
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| 33 | TMatrix sqmat(A); |
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| [427] | 34 | CHECK_EQUAL(sz, sqmat.rows()); |
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| 35 | CHECK_EQUAL(sz, sqmat.cols()); |
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| 36 | |
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| [426] | 37 | mat res = sqmat.to_mat(); |
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| 38 | CHECK_CLOSE(A, res, epsilon); |
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| 39 | |
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| 40 | vec v = randu(sz); |
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| 41 | double w = randu(); |
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| 42 | TMatrix sqmat2 = sqmat; |
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| 43 | sqmat2.opupdt(v, w); |
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| 44 | |
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| 45 | res = A + w * outer_product(v, v); |
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| 46 | CHECK_CLOSE(res, sqmat2.to_mat(), epsilon); |
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| 47 | |
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| 48 | double d = det(A); |
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| 49 | CHECK_CLOSE(log(d), sqmat.logdet(), epsilon); |
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| [427] | 50 | |
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| 51 | double q = sqmat.qform(ones(sz)); |
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| 52 | CHECK_CLOSE(sumsum(A), q, epsilon); |
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| 53 | |
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| 54 | q = sqmat.qform(v); |
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| 55 | double r = (A * v) * v; |
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| 56 | CHECK_CLOSE(r, q, epsilon); |
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| 57 | |
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| 58 | sqmat2 = sqmat; |
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| 59 | sqmat2.clear(); |
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| 60 | CHECK_EQUAL(0, sqmat2.qform(ones(sz))); |
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| [426] | 61 | } |
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| 62 | |
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| 63 | template<typename TMatrix> |
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| 64 | void test_square_matrix(double epsilon) { |
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| 65 | test_square_matrix_minimum<TMatrix>(epsilon); |
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| 66 | |
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| 67 | int sz = 3; |
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| 68 | mat A0 = randu(sz, sz); |
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| 69 | mat A = A0 * A0.T(); |
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| 70 | |
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| 71 | TMatrix sqmat(A); |
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| 72 | TMatrix twice = sqmat; |
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| 73 | twice += sqmat; |
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| 74 | mat res(2 * A); |
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| 75 | CHECK_CLOSE(res, twice.to_mat(), epsilon); |
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| 76 | |
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| 77 | twice = sqmat; |
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| 78 | twice *= 2; |
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| 79 | CHECK_CLOSE(res, twice.to_mat(), epsilon); |
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| 80 | |
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| 81 | TMatrix sqmat2 = sqmat; |
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| 82 | mat B = randu(sz, sz); |
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| 83 | sqmat2.mult_sym(B); |
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| 84 | res = (B * A) * B.T(); |
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| 85 | CHECK_CLOSE(res, sqmat2.to_mat(), epsilon); |
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| 86 | |
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| 87 | sqmat2 = sqmat; |
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| 88 | sqmat2.mult_sym_t(B); |
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| 89 | res = (B.T() * A) * B; |
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| 90 | CHECK_CLOSE(res, sqmat2.to_mat(), epsilon); |
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| 91 | } |
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| 92 | |
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| 93 | TEST(test_ldmat) { |
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| 94 | test_square_matrix<ldmat>(epsilon); |
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| 95 | } |
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| 96 | |
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| 97 | TEST(test_fsqmat) { |
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| 98 | test_square_matrix<fsqmat>(epsilon); |
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| 99 | } |
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| 100 | |
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| 101 | TEST(test_chmat) { |
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| 102 | test_square_matrix_minimum<chmat>(0.2); |
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| 103 | } |
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