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      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1 (at) gmail.com>
      5 //
      6 // This Source Code Form is subject to the terms of the Mozilla
      7 // Public License v. 2.0. If a copy of the MPL was not distributed
      8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
      9 
     10 #include "product.h"
     11 
     12 template<typename T>
     13 void test_aliasing()
     14 {
     15   int rows = internal::random<int>(1,12);
     16   int cols = internal::random<int>(1,12);
     17   typedef Matrix<T,Dynamic,Dynamic> MatrixType;
     18   typedef Matrix<T,Dynamic,1> VectorType;
     19   VectorType x(cols); x.setRandom();
     20   VectorType z(x);
     21   VectorType y(rows); y.setZero();
     22   MatrixType A(rows,cols); A.setRandom();
     23   // CwiseBinaryOp
     24   VERIFY_IS_APPROX(x = y + A*x, A*z);     // OK because "y + A*x" is marked as "assume-aliasing"
     25   x = z;
     26   // CwiseUnaryOp
     27   VERIFY_IS_APPROX(x = T(1.)*(A*x), A*z); // OK because 1*(A*x) is replaced by (1*A*x) which is a Product<> expression
     28   x = z;
     29   // VERIFY_IS_APPROX(x = y-A*x, -A*z);   // Not OK in 3.3 because x is resized before A*x gets evaluated
     30   x = z;
     31 }
     32 
     33 void test_product_large()
     34 {
     35   for(int i = 0; i < g_repeat; i++) {
     36     CALL_SUBTEST_1( product(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     37     CALL_SUBTEST_2( product(MatrixXd(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     38     CALL_SUBTEST_3( product(MatrixXi(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     39     CALL_SUBTEST_4( product(MatrixXcf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2), internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))) );
     40     CALL_SUBTEST_5( product(Matrix<float,Dynamic,Dynamic,RowMajor>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     41 
     42     CALL_SUBTEST_1( test_aliasing<float>() );
     43   }
     44 
     45 #if defined EIGEN_TEST_PART_6
     46   {
     47     // test a specific issue in DiagonalProduct
     48     int N = 1000000;
     49     VectorXf v = VectorXf::Ones(N);
     50     MatrixXf m = MatrixXf::Ones(N,3);
     51     m = (v+v).asDiagonal() * m;
     52     VERIFY_IS_APPROX(m, MatrixXf::Constant(N,3,2));
     53   }
     54 
     55   {
     56     // test deferred resizing in Matrix::operator=
     57     MatrixXf a = MatrixXf::Random(10,4), b = MatrixXf::Random(4,10), c = a;
     58     VERIFY_IS_APPROX((a = a * b), (c * b).eval());
     59   }
     60 
     61   {
     62     // check the functions to setup blocking sizes compile and do not segfault
     63     // FIXME check they do what they are supposed to do !!
     64     std::ptrdiff_t l1 = internal::random<int>(10000,20000);
     65     std::ptrdiff_t l2 = internal::random<int>(100000,200000);
     66     std::ptrdiff_t l3 = internal::random<int>(1000000,2000000);
     67     setCpuCacheSizes(l1,l2,l3);
     68     VERIFY(l1==l1CacheSize());
     69     VERIFY(l2==l2CacheSize());
     70     std::ptrdiff_t k1 = internal::random<int>(10,100)*16;
     71     std::ptrdiff_t m1 = internal::random<int>(10,100)*16;
     72     std::ptrdiff_t n1 = internal::random<int>(10,100)*16;
     73     // only makes sure it compiles fine
     74     internal::computeProductBlockingSizes<float,float,std::ptrdiff_t>(k1,m1,n1,1);
     75   }
     76 
     77   {
     78     // test regression in row-vector by matrix (bad Map type)
     79     MatrixXf mat1(10,32); mat1.setRandom();
     80     MatrixXf mat2(32,32); mat2.setRandom();
     81     MatrixXf r1 = mat1.row(2)*mat2.transpose();
     82     VERIFY_IS_APPROX(r1, (mat1.row(2)*mat2.transpose()).eval());
     83 
     84     MatrixXf r2 = mat1.row(2)*mat2;
     85     VERIFY_IS_APPROX(r2, (mat1.row(2)*mat2).eval());
     86   }
     87 
     88   {
     89     Eigen::MatrixXd A(10,10), B, C;
     90     A.setRandom();
     91     C = A;
     92     for(int k=0; k<79; ++k)
     93       C = C * A;
     94     B.noalias() = (((A*A)*(A*A))*((A*A)*(A*A))*((A*A)*(A*A))*((A*A)*(A*A))*((A*A)*(A*A)) * ((A*A)*(A*A))*((A*A)*(A*A))*((A*A)*(A*A))*((A*A)*(A*A))*((A*A)*(A*A)))
     95                 * (((A*A)*(A*A))*((A*A)*(A*A))*((A*A)*(A*A))*((A*A)*(A*A))*((A*A)*(A*A)) * ((A*A)*(A*A))*((A*A)*(A*A))*((A*A)*(A*A))*((A*A)*(A*A))*((A*A)*(A*A)));
     96     VERIFY_IS_APPROX(B,C);
     97   }
     98 #endif
     99 
    100   // Regression test for bug 714:
    101 #if defined EIGEN_HAS_OPENMP
    102   omp_set_dynamic(1);
    103   for(int i = 0; i < g_repeat; i++) {
    104     CALL_SUBTEST_6( product(Matrix<float,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
    105   }
    106 #endif
    107 }
    108