Package org.ejml.simple

Examples of org.ejml.simple.SimpleMatrix

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        for( int width = 1; width <= 3*r; width++ ) {
//            System.out.println("width "+width);
            int end = width;
            int offset = width > 1 ? 1 : 0;

            SimpleMatrix A = SimpleMatrix.random(r,width,-1,1,rand);
            BlockMatrix64F Ab = BlockMatrixOps.convert(A.getMatrix(),r);
            BlockMatrix64F Bb = Ab.copy();

            SimpleMatrix b = A.extractVector(true,rowA).divide(alpha);

            BlockVectorOps.div_row(r,new D1Submatrix64F(Ab),rowA, alpha, new D1Submatrix64F(Bb),rowB,offset,end);

            checkVector_row(rowB, end, offset, A, Bb, b);
        }
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        checkAgainstRandom(5, 7);
        checkAgainstRandom(2, 3);
    }

    private void checkAgainstRandom(int m, int n) {
        SimpleMatrix A = SimpleMatrix.wrap(RandomMatrices.createRandom(m,n,rand));

        BidiagonalDecompositionNaive decomp = new BidiagonalDecompositionNaive();

        assertTrue(decomp.decompose(A.getMatrix()));

        SimpleMatrix U = decomp.getU();
        SimpleMatrix B = decomp.getB();
        SimpleMatrix V = decomp.getV();

//        U.print();
//        B.print();
//        V.print();

//        U.mult(A).mult(V).print();

        // check the decomposition
        DenseMatrix64F foundA = U.mult(B).mult(V.transpose()).getMatrix();

//        A.print();
//        foundA.print();

        assertTrue(MatrixFeatures.isIdentical(A.getMatrix(),foundA,1e-8));
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        for( int width = 1; width <= 3*r; width++ ) {
//            System.out.println("width "+width);
            int end = width;
            int offset = width > 1 ? 1 : 0;

            SimpleMatrix A = SimpleMatrix.random(r,width,-1,1,rand);
            SimpleMatrix B = SimpleMatrix.random(r,width,-1,1,rand);
            BlockMatrix64F Ab = BlockMatrixOps.convert(A.getMatrix(),r);
            BlockMatrix64F Bb = BlockMatrixOps.convert(B.getMatrix(),r);
            BlockMatrix64F Cb = Ab.copy();

            SimpleMatrix a = A.extractVector(true,rowA).scale(alpha);
            SimpleMatrix b = B.extractVector(true,rowB).scale(beta);
            SimpleMatrix c = a.plus(b);

            BlockVectorOps.add_row(r,
                    new D1Submatrix64F(Ab),rowA, alpha,
                    new D1Submatrix64F(Bb),rowB, beta ,
                    new D1Submatrix64F(Cb),rowC, offset,end);
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        for( int width = 1; width <= 3*r; width++ ) {
//            System.out.println("width "+width);
            int end = width;
            int offset = width > 1 ? 1 : 0;

            SimpleMatrix A = SimpleMatrix.random(r,width,-1,1,rand);
            SimpleMatrix a = A.extractMatrix(rowA,rowA+1,offset,SimpleMatrix.END);
            SimpleMatrix B = SimpleMatrix.random(r,width,-1,1,rand);
            SimpleMatrix b = B.extractMatrix(rowB,rowB+1,offset,SimpleMatrix.END);

            BlockMatrix64F Ab = BlockMatrixOps.convert(A.getMatrix(),r);
            BlockMatrix64F Bb = BlockMatrixOps.convert(B.getMatrix(),r);

            double expected = a.dot(b);
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//            System.out.println("width "+width);
            int end = width;
            int offset = width > 1 ? 1 : 0;
            if( colB >= width) colB = 0;

            SimpleMatrix A = SimpleMatrix.random(width,width,-1,1,rand);
            SimpleMatrix a = A.extractMatrix(rowA,rowA+1,offset,SimpleMatrix.END);
            SimpleMatrix B = SimpleMatrix.random(width,width,-1,1,rand);
            SimpleMatrix b = B.extractMatrix(offset,SimpleMatrix.END,colB,colB+1);

            BlockMatrix64F Ab = BlockMatrixOps.convert(A.getMatrix(),r);
            BlockMatrix64F Bb = BlockMatrixOps.convert(B.getMatrix(),r);

            double expected = a.dot(b);
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        return num;
    }

    private void checkComponents( SingularValueDecomposition<DenseMatrix64F> svd , DenseMatrix64F expected )
    {
        SimpleMatrix U = SimpleMatrix.wrap(svd.getU(null,false));
        SimpleMatrix Vt = SimpleMatrix.wrap(svd.getV(null,true));
        SimpleMatrix W = SimpleMatrix.wrap(svd.getW(null));

        assertTrue( !U.hasUncountable() );
        assertTrue( !Vt.hasUncountable() );
        assertTrue( !W.hasUncountable() );

        if( svd.isCompact() ) {
            assertEquals(W.numCols(),W.numRows());
            assertEquals(U.numCols(),W.numRows());
            assertEquals(Vt.numRows(),W.numCols());
        } else {
            assertEquals(U.numCols(),W.numRows());
            assertEquals(W.numCols(),Vt.numRows());
            assertEquals(U.numCols(),U.numRows());
            assertEquals(Vt.numCols(),Vt.numRows());
        }

        DenseMatrix64F found = U.mult(W).mult(Vt).getMatrix();
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        }
    }

    @Test
    public void testIdentity() {
        SimpleMatrix A = SimpleMatrix.identity(5);

        BidiagonalDecomposition<DenseMatrix64F> decomp = createQRDecomposition();

        assertTrue(decomp.decompose(A.getMatrix().copy()));

        checkGeneric(A.getMatrix(), decomp);
    }
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        checkGeneric(A.getMatrix(), decomp);
    }

    @Test
    public void testZero() {
        SimpleMatrix A = new SimpleMatrix(5,5);

        BidiagonalDecomposition<DenseMatrix64F> decomp = createQRDecomposition();

        assertTrue(decomp.decompose(A.getMatrix().copy()));

        checkGeneric(A.getMatrix(), decomp);
    }
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     * Checks to see if the decomposition will reconstruct the original input matrix
     */
    protected void checkGeneric(DenseMatrix64F a,
                                BidiagonalDecomposition<DenseMatrix64F> decomp) {
        // check the full version
        SimpleMatrix U = SimpleMatrix.wrap(decomp.getU(null,false,false));
        SimpleMatrix B = SimpleMatrix.wrap(decomp.getB(null,false));
        SimpleMatrix V = SimpleMatrix.wrap(decomp.getV(null,false,false));

        DenseMatrix64F foundA = U.mult(B).mult(V.transpose()).getMatrix();

        assertTrue(MatrixFeatures.isIdentical(a,foundA,1e-8));

        //       check with transpose
        SimpleMatrix Ut = SimpleMatrix.wrap(decomp.getU(null,true,false));

        assertTrue(U.transpose().isIdentical(Ut,1e-8));

        SimpleMatrix Vt = SimpleMatrix.wrap(decomp.getV(null,true,false));

        assertTrue(V.transpose().isIdentical(Vt,1e-8));

//        U.print();
//        V.print();
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    }

    @Test
    public void fullTest() {
        for( int width = 1; width <= r*3; width++ ) {
            SimpleMatrix A = SimpleMatrix.wrap(RandomMatrices.createSymmetric(width,-1,1,rand));
            BlockMatrix64F Ab = BlockMatrixOps.convert(A.getMatrix(),r);

            TridiagonalDecompositionBlockHouseholder alg = new TridiagonalDecompositionBlockHouseholder();

            assertTrue(alg.decompose(Ab));

            BlockMatrix64F Qb = alg.getQ(null,false);
            BlockMatrix64F Tb = alg.getT(null);

            SimpleMatrix Q = new SimpleMatrix(Qb);
            SimpleMatrix T = new SimpleMatrix(Tb);

            // reconstruct the original matrix
            SimpleMatrix A_found = Q.mult(T).mult(Q.transpose());

            assertTrue(MatrixFeatures.isIdentical(A.getMatrix(),A_found.getMatrix(),1e-8));
        }
    }
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