sparse-matrix-test.cc

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// matrix/sparse-matrix-test.cc

// Copyright 2015      Guoguo Chen

// See ../../COPYING for clarification regarding multiple authors
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//  http://www.apache.org/licenses/LICENSE-2.0
//
// THIS CODE IS PROVIDED *AS IS* BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
// KIND, EITHER EXPRESS OR IMPLIED, INCLUDING WITHOUT LIMITATION ANY IMPLIED
// WARRANTIES OR CONDITIONS OF TITLE, FITNESS FOR A PARTICULAR PURPOSE,
// MERCHANTABLITY OR NON-INFRINGEMENT.
// See the Apache 2 License for the specific language governing permissions and
// limitations under the License.

#include "matrix/matrix-lib.h"
#include "util/stl-utils.h"

namespace kaldi {

template <typename Real>
void UnitTestSparseVectorSum() {
  for (int32 i = 0; i < 10; i++) {
    MatrixIndexT dim = 10 + Rand() % 40;

    SparseVector<Real> svec(dim);
    svec.SetRandn(0.8);

    Vector<Real> vec(dim);
    vec.SetRandn();
    svec.CopyElementsToVec(&vec);

    Real sum1 = svec.Sum();
    Real sum2 = vec.Sum();
    AssertEqual(sum1, sum2, 0.00001);
  }
}

template <typename Real>
void UnitTestSparseVectorAddToVec() {
  for (int32 i = 0; i < 10; i++) {
    MatrixIndexT dim = 10 + Rand() % 40;

    SparseVector<Real> svec(dim);
    svec.SetRandn(0.8);

    Vector<Real> vec(dim);
    vec.SetRandn();
    svec.CopyElementsToVec(&vec);

    Vector<Real> other_vec1(dim);
    other_vec1.SetRandn();
    Vector<Real> other_vec2 = other_vec1;

    svec.AddToVec(0.7, &other_vec1);
    other_vec2.AddVec(0.7, vec);
    AssertEqual(other_vec1, other_vec2, 0.00001);
  }
}

template <typename Real>
void UnitTestSparseVectorMax() {
  for (int32 i = 0; i < 10; i++) {
    MatrixIndexT dim = 10 + Rand() % 40;
    if (RandInt(0, 3) == 0)
      dim = RandInt(1, 5);

    SparseVector<Real> svec(dim);
    if (RandInt(0, 3) != 0)
      svec.SetRandn(0.8);

    Vector<Real> vec(dim);
    vec.SetRandn();
    svec.CopyElementsToVec(&vec);

    int32 index1, index2;
    Real max1, max2;

    max1 = svec.Max(&index1);
    max2 = vec.Max(&index2);

    AssertEqual(max1, max2, 0.00001);
    AssertEqual(index1, index2, 0.00001);
  }
}

template <typename Real>
void UnitTestSparseVectorVecSvec() {
  for (int32 i = 0; i < 10; i++) {
    MatrixIndexT dim = 10 + Rand() % 40;

    SparseVector<Real> svec(dim);
    svec.SetRandn(0.8);

    Vector<Real> vec(dim);
    vec.SetRandn();
    svec.CopyElementsToVec(&vec);

    Vector<Real> other_vec(dim);
    other_vec.SetRandn();

    Real product1 = VecSvec(other_vec, svec);
    Real product2 = VecVec(other_vec, vec);

    KALDI_ASSERT(fabs(product1 - product2) < 1.0e-04);
  }
}

template <typename Real>
void UnitTestSparseMatrixSum() {
  for (int32 i = 0; i < 10; i++) {
    MatrixIndexT row = 10 + Rand() % 40;
    MatrixIndexT col = 10 + Rand() % 50;

    SparseMatrix<Real> smat(row, col);
    smat.SetRandn(0.8);

    Matrix<Real> mat(row, col);
    mat.SetRandn();
    smat.CopyToMat(&mat);

    Real sum1 = smat.Sum();
    Real sum2 = mat.Sum();
    AssertEqual(sum1, sum2, 0.00001);
  }
}

template <typename Real>
void UnitTestSparseMatrixFrobeniusNorm() {
  for (int32 i = 0; i < 10; i++) {
    MatrixIndexT row = 10 + Rand() % 40;
    MatrixIndexT col = 10 + Rand() % 50;

    SparseMatrix<Real> smat(row, col);
    smat.SetRandn(0.8);

    Matrix<Real> mat(row, col);
    mat.SetRandn();
    smat.CopyToMat(&mat);

    Real norm1 = smat.FrobeniusNorm();
    Real norm2 = mat.FrobeniusNorm();
    AssertEqual(norm1, norm2, 0.00001);
  }
}

template <typename Real>
void UnitTestSparseMatrixAddToMat() {
  for (int32 i = 0; i < 10; i++) {
    MatrixIndexT row = 10 + Rand() % 40;
    MatrixIndexT col = 10 + Rand() % 50;

    SparseMatrix<Real> smat(row, col);
    smat.SetRandn(0.8);

    Matrix<Real> mat(row, col);
    mat.SetRandn();
    smat.CopyToMat(&mat);

    Matrix<Real> other_mat1(row, col);
    other_mat1.SetRandn();
    Matrix<Real> other_mat2 = other_mat1;

    smat.AddToMat(0.7, &other_mat1);
    other_mat2.AddMat(0.7, mat);
    AssertEqual(other_mat1, other_mat2, 0.00001);
  }
}

template <typename Real>
void UnitTestSparseMatrixConstructor() {
  int32 num_rows = RandInt(1, 10),
      num_cols = RandInt(0, 10);
  if (num_cols == 0)
    num_rows = 0;

  Matrix<Real> mat(num_rows, num_cols);

  for (int32 r = 0; r < num_rows; r++) {
    for (int32 c = 0; c < num_cols; c++) {
      if (RandInt(0, 5) == 0)
        mat(r, c) = RandGauss();
    }
  }
  SparseMatrix<Real> smat(mat);

  Matrix<Real> mat2(num_rows, num_cols);
  mat2.SetRandn();
  smat.CopyToMat(&mat2);
  AssertEqual(mat, mat2);
}

template <typename Real>
void UnitTestSparseMatrixTraceMatSmat() {
  for (int32 i = 0; i < 10; i++) {
    MatrixIndexT row = 10 + Rand() % 40;
    MatrixIndexT col = 10 + Rand() % 50;

    Matrix<Real> mat1(row, col);
    Matrix<Real> mat2(col, row);
    Matrix<Real> mat3(row, col);
    mat1.SetRandn();
    mat2.SetRandn();
    mat3.SetRandn();

    SparseMatrix<Real> smat1(row, col);
    SparseMatrix<Real> smat2(col, row);
    smat1.SetRandn(0.8);
    smat2.SetRandn(0.8);

    smat1.CopyToMat(&mat1);
    smat2.CopyToMat(&mat2);

    Real trace1 = TraceMatMat(mat3, mat1, kTrans);
    Real trace2 = TraceMatSmat(mat3, smat1, kTrans);
    AssertEqual(trace1, trace2, 0.00001);

    trace1 = TraceMatMat(mat3, mat2, kNoTrans);
    trace2 = TraceMatSmat(mat3, smat2, kNoTrans);
    AssertEqual(trace1, trace2, 0.00001);
  }
}

template <typename Real>
void UnitTestMatrixAddMatSmat() {

  for (int32 t = 0; t < 4; t++) {
    MatrixIndexT m = RandInt(10, 20), n = RandInt(10, 20), o = RandInt(10, 20);
    MatrixTransposeType Btrans = (RandInt(0, 1) == 0 ? kTrans : kNoTrans);

    // we are effectively comparing trace(A B C) computed as
    // trace((A B) C) vs. trace ((C A) B)

    BaseFloat alpha = 0.333, beta = 1.764;


    Matrix<Real> A(m, n);
    A.SetRandn();
    SparseMatrix<Real> B(Btrans  == kNoTrans ? n : o,
                         Btrans == kNoTrans ? o : n);
    B.SetRandn(0.5);

    Matrix<Real> AB(m, o);
    AB.SetRandn();  // this random extra part is used in testing the 'beta'.

    Matrix<Real> C(o, m);
    C.SetRandn();

    Matrix<Real> CA(o, n);
    CA.AddMatMat(1.0, C, kNoTrans, A, kNoTrans, 0.0);
    Real trace_abc_alpha = TraceMatSmat(CA, B, Btrans);

    Real trace_abc_beta = TraceMatMat(AB, C, kNoTrans);

    AB.AddMatSmat(alpha, A, B, Btrans, beta);

    // next line is in case I made certain mistakes like setting matrix to
    // random.
    KALDI_ASSERT(trace_abc_alpha != 0.0 && trace_abc_beta != 0.0);
    Real result1 = TraceMatMat(AB, C, kNoTrans),
        result2 = alpha * trace_abc_alpha  + beta * trace_abc_beta;
    AssertEqual(result1, result2, 0.01);
  }
}


template <typename Real>
void UnitTestMatrixAddSmatMat() {

  for (int32 t = 0; t < 4; t++) {
    MatrixIndexT m = RandInt(10, 20), n = RandInt(10, 20), o = RandInt(10, 20);
    MatrixTransposeType Btrans = (RandInt(0, 1) == 0 ? kTrans : kNoTrans);

    // we are effectively comparing trace(A B C) computed as
    // trace((A B) C) vs. trace ((C A) B)

    BaseFloat alpha = 0.333, beta = 1.764;

    Matrix<Real> A(m, n);
    A.SetRandn();
    SparseMatrix<Real> B(Btrans  == kNoTrans ? n : o,
                         Btrans == kNoTrans ? o : n);
    B.SetRandn(0.5);

    Matrix<Real> C(o, m);
    C.SetRandn();

    Matrix<Real> BC(n, m);
    BC.SetRandn();  // this random extra part is used in testing the 'beta'.

    Matrix<Real> CA(o, n);
    CA.AddMatMat(1.0, C, kNoTrans, A, kNoTrans, 0.0);
    Real trace_abc_alpha = TraceMatSmat(CA, B, Btrans);

    Real trace_abc_beta = TraceMatMat(A, BC, kNoTrans);

    BC.AddSmatMat(alpha, B, Btrans, C, beta);

    // next line is in case I made certain mistakes like setting matrix to
    // random.
    KALDI_ASSERT(trace_abc_alpha != 0.0 && trace_abc_beta != 0.0);
    Real result1 = TraceMatMat(A, BC, kNoTrans),
        result2 = alpha * trace_abc_alpha  + beta * trace_abc_beta;
    AssertEqual(result1, result2, 0.01);
  }
}


template <typename Real>
void SparseMatrixUnitTest() {
  // SparseVector
  UnitTestSparseVectorSum<Real>();
  UnitTestSparseVectorAddToVec<Real>();
  UnitTestSparseVectorMax<Real>();
  UnitTestSparseVectorVecSvec<Real>();

  // SparseMatrix
  UnitTestSparseMatrixSum<Real>();
  UnitTestSparseMatrixFrobeniusNorm<Real>();
  UnitTestSparseMatrixAddToMat<Real>();
  UnitTestSparseMatrixTraceMatSmat<Real>();
  for (int32 i = 0; i < 30; i++)
    UnitTestSparseMatrixConstructor<Real>();


  // Matrix functions involving sparse matrices.
  UnitTestMatrixAddMatSmat<Real>();
  UnitTestMatrixAddSmatMat<Real>();
}

}  // namespace kaldi

int main() {
  kaldi::SetVerboseLevel(5);
  kaldi::SparseMatrixUnitTest<float>();
  kaldi::SparseMatrixUnitTest<double>();
  KALDI_LOG << "Tests succeeded.";
  return 0;
}