doc/html/test_cherkLower.html

 // ========================================================================= //
 // This file is part of MyraMath, copyright (c) 2014-2019 by Ryan A Chilton  //
 // and distributed by MyraCore, LLC. See LICENSE.txt for license terms.      //
 // ========================================================================= //

 // Containers.
 #include <myramath/utility/Number.h>
 #include <myramath/dense/Matrix.h>
 #include <myramath/dense/LowerMatrix.h>
 #include <myramath/dense/LowerMatrixRange.h>

 // Algorithms.
 #include <myramath/utility/random.h>
 #include <myramath/dense/gemm.h>
 #include <myramath/dense/herk.h>
 #include <myramath/dense/frobenius.h>
 #include <myramath/dense/transpose.h>
 #include <myramath/dense/hermitian.h>
 #include <myramath/dense/conjugate.h>
 #include <myramath/dense/tril.h>
 #include <myramath/dense/triu.h>
 #include <myramath/dense/threshold.h>

 // Reporting.
 #include <tests/myratest.h>

 using namespace myra;

 namespace {

 template<class Precision> void test(int I, int J, Precision tolerance)
   {
   // Useful typedef.
   typedef std::complex<Precision> Number;
   myra::out() << typestring<Number>() << std::endl;

   // Make random nonsquare matrix A.
   auto A = Matrix<Number>::random(I,J);

   // Compare herk(A,'N') to gemm(A,'N',A,'H')
     {
         LowerMatrix<Number> B1(gemm(A,'N',A,'H'));
         LowerMatrix<Number> B2 = herk(A,'N');
         Precision error = frobenius(B2-B1);
         myra::out() << "  |herk('N')-gemm('N','H')| = " << error << std::endl;
         REQUIRE(error < tolerance);
     }

   // Compare herk(A,'T') to gemm(A,'T',A,'C')
     {
         LowerMatrix<Number> C1(gemm(A,'T',A,'C'));
         LowerMatrix<Number> C2 = herk(A,'T');
         Precision error = frobenius(C2-C1);
         myra::out() << "  |herk('T')-gemm('T','C')| = " << error << std::endl;
         REQUIRE(error < tolerance);
         }

   // Compare herk(A,'H') to gemm(A,'H',A,'N')
     {
         LowerMatrix<Number> C1(gemm(A,'H',A,'N'));
         LowerMatrix<Number> C2 = herk(A,'H');
         Precision error = frobenius(C2-C1);
         myra::out() << "  |herk('H')-gemm('H','N')| = " << error << std::endl;
         REQUIRE(error < tolerance);
         }

   // Compare herk(A,'C') to gemm(A,'C',A,'T')
     {
         LowerMatrix<Number> C1(gemm(A,'C',A,'T'));
         LowerMatrix<Number> C2 = herk(A,'C');
         Precision error = frobenius(C2-C1);
         myra::out() << "  |herk('C')-gemm('C','T')| = " << error << std::endl;
         REQUIRE(error < tolerance);
         }

   }

 } // namespace

 ADD_TEST("cherkLower","[dense][blas]")
   { test<float>(54,37,1.0e-4f); }

 ADD_TEST("zherkLower","[dense][blas]")
   { test<double>(54,37,1.0e-8); }

conjugate.h
Returns a conjugated copy of a Matrix or Vector. Or, conjugate one inplace.

herk.h
Routines for hermitian rank-k updates, a specialized form of Matrix*Matrix multiplication.

frobenius.h
Routines for computing Frobenius norms of various algebraic containers.

myra::Matrix::random
static Matrix< Number > random(int I, int J)
Generates a random Matrix of specified size.
Definition: Matrix.cpp:353

threshold.h
Replaces small values with explicit zeros.

LowerMatrixRange.h
Range construct for a lower triangular matrix stored in rectangular packed format.

myra
Definition: syntax.dox:1

LowerMatrix.h
Specialized container for a lower triangular matrix, O(N^2/2) storage. Used by symmetry exploiting ma...

transpose.h
Returns a transposed copy of a Matrix. The inplace version only works on a square operand...

tril.h
Returns the lower triangle of a dense Matrix.

triu.h
Returns the upper triangle of a dense Matrix.

Number.h
Various utility functions/classes related to scalar Number types.

Matrix.h
General purpose dense matrix container, O(i*j) storage.

hermitian.h
Returns a hermitian copy of a Matrix. The inplace version only works on a square operand.

random.h
Simplistic random number functions.

myra::LowerMatrix
Stores a lower triangular matrix in rectangular packed format.
Definition: conjugate.h:22

gemm.h
Variety of routines all for dense Matrix*Matrix multiplies. Delegates to the BLAS.