xref: /petsc/src/mat/tests/ex48.c (revision d71ae5a4db6382e7f06317b8d368875286fe9008)

static char help[] = "Tests various routines in MatSeqBAIJ format.\n";

#include <petscmat.h>

int main(int argc, char **args)
{
  Mat           A, B, C, D, Fact;
  Vec           xx, s1, s2, yy;
  PetscInt      m = 45, rows[2], cols[2], bs = 1, i, row, col, *idx, M;
  PetscScalar   rval, vals1[4], vals2[4];
  PetscRandom   rdm;
  IS            is1, is2;
  PetscReal     s1norm, s2norm, rnorm, tol = 1.e-4;
  PetscBool     flg;
  MatFactorInfo info;

  PetscFunctionBeginUser;
  PetscCall(PetscInitialize(&argc, &args, (char *)0, help));
  /* Test MatSetValues() and MatGetValues() */
  PetscCall(PetscOptionsGetInt(NULL, NULL, "-mat_block_size", &bs, NULL));
  PetscCall(PetscOptionsGetInt(NULL, NULL, "-mat_size", &m, NULL));
  M = m * bs;
  PetscCall(MatCreateSeqBAIJ(PETSC_COMM_SELF, bs, M, M, 1, NULL, &A));
  PetscCall(MatSetOption(A, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));
  PetscCall(MatCreateSeqAIJ(PETSC_COMM_SELF, M, M, 15, NULL, &B));
  PetscCall(MatSetOption(B, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));
  PetscCall(PetscRandomCreate(PETSC_COMM_SELF, &rdm));
  PetscCall(PetscRandomSetFromOptions(rdm));
  PetscCall(VecCreateSeq(PETSC_COMM_SELF, M, &xx));
  PetscCall(VecDuplicate(xx, &s1));
  PetscCall(VecDuplicate(xx, &s2));
  PetscCall(VecDuplicate(xx, &yy));

  /* For each row add at least 15 elements */
  for (row = 0; row < M; row++) {
    for (i = 0; i < 25 * bs; i++) {
      PetscCall(PetscRandomGetValue(rdm, &rval));
      col = PetscMin(M - 1, (PetscInt)(PetscRealPart(rval) * M));
      PetscCall(MatSetValues(A, 1, &row, 1, &col, &rval, INSERT_VALUES));
      PetscCall(MatSetValues(B, 1, &row, 1, &col, &rval, INSERT_VALUES));
    }
  }

  /* Now set blocks of values */
  for (i = 0; i < 20 * bs; i++) {
    PetscCall(PetscRandomGetValue(rdm, &rval));
    cols[0]  = PetscMin(M - 1, (PetscInt)(PetscRealPart(rval) * M));
    vals1[0] = rval;
    PetscCall(PetscRandomGetValue(rdm, &rval));
    cols[1]  = PetscMin(M - 1, (PetscInt)(PetscRealPart(rval) * M));
    vals1[1] = rval;
    PetscCall(PetscRandomGetValue(rdm, &rval));
    rows[0]  = PetscMin(M - 1, (PetscInt)(PetscRealPart(rval) * M));
    vals1[2] = rval;
    PetscCall(PetscRandomGetValue(rdm, &rval));
    rows[1]  = PetscMin(M - 1, (PetscInt)(PetscRealPart(rval) * M));
    vals1[3] = rval;
    PetscCall(MatSetValues(A, 2, rows, 2, cols, vals1, INSERT_VALUES));
    PetscCall(MatSetValues(B, 2, rows, 2, cols, vals1, INSERT_VALUES));
  }

  PetscCall(MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY));
  PetscCall(MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY));
  PetscCall(MatAssemblyBegin(B, MAT_FINAL_ASSEMBLY));
  PetscCall(MatAssemblyEnd(B, MAT_FINAL_ASSEMBLY));

  /* Test MatNorm() */
  PetscCall(MatNorm(A, NORM_FROBENIUS, &s1norm));
  PetscCall(MatNorm(B, NORM_FROBENIUS, &s2norm));
  rnorm = PetscAbsReal(s2norm - s1norm) / s2norm;
  if (rnorm > tol) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error: MatNorm_FROBENIUS()- NormA=%16.14e NormB=%16.14e bs = %" PetscInt_FMT "\n", (double)s1norm, (double)s2norm, bs));
  PetscCall(MatNorm(A, NORM_INFINITY, &s1norm));
  PetscCall(MatNorm(B, NORM_INFINITY, &s2norm));
  rnorm = PetscAbsReal(s2norm - s1norm) / s2norm;
  if (rnorm > tol) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error: MatNorm_INFINITY()- NormA=%16.14e NormB=%16.14e bs = %" PetscInt_FMT "\n", (double)s1norm, (double)s2norm, bs));
  PetscCall(MatNorm(A, NORM_1, &s1norm));
  PetscCall(MatNorm(B, NORM_1, &s2norm));
  rnorm = PetscAbsReal(s2norm - s1norm) / s2norm;
  if (rnorm > tol) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error: MatNorm_NORM_1()- NormA=%16.14e NormB=%16.14e bs = %" PetscInt_FMT "\n", (double)s1norm, (double)s2norm, bs));

  /* MatShift() */
  rval = 10 * s1norm;
  PetscCall(MatShift(A, rval));
  PetscCall(MatShift(B, rval));

  /* Test MatTranspose() */
  PetscCall(MatTranspose(A, MAT_INPLACE_MATRIX, &A));
  PetscCall(MatTranspose(B, MAT_INPLACE_MATRIX, &B));

  /* Now do MatGetValues()  */
  for (i = 0; i < 30; i++) {
    PetscCall(PetscRandomGetValue(rdm, &rval));
    cols[0] = PetscMin(M - 1, (PetscInt)(PetscRealPart(rval) * M));
    PetscCall(PetscRandomGetValue(rdm, &rval));
    cols[1] = PetscMin(M - 1, (PetscInt)(PetscRealPart(rval) * M));
    PetscCall(PetscRandomGetValue(rdm, &rval));
    rows[0] = PetscMin(M - 1, (PetscInt)(PetscRealPart(rval) * M));
    PetscCall(PetscRandomGetValue(rdm, &rval));
    rows[1] = PetscMin(M - 1, (PetscInt)(PetscRealPart(rval) * M));
    PetscCall(MatGetValues(A, 2, rows, 2, cols, vals1));
    PetscCall(MatGetValues(B, 2, rows, 2, cols, vals2));
    PetscCall(PetscArraycmp(vals1, vals2, 4, &flg));
    if (!flg) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error: MatGetValues bs = %" PetscInt_FMT "\n", bs));
  }

  /* Test MatMult(), MatMultAdd() */
  for (i = 0; i < 40; i++) {
    PetscCall(VecSetRandom(xx, rdm));
    PetscCall(VecSet(s2, 0.0));
    PetscCall(MatMult(A, xx, s1));
    PetscCall(MatMultAdd(A, xx, s2, s2));
    PetscCall(VecNorm(s1, NORM_2, &s1norm));
    PetscCall(VecNorm(s2, NORM_2, &s2norm));
    rnorm = s2norm - s1norm;
    if (rnorm < -tol || rnorm > tol) PetscCall(PetscPrintf(PETSC_COMM_SELF, "MatMult not equal to MatMultAdd Norm1=%e Norm2=%e bs = %" PetscInt_FMT "\n", (double)s1norm, (double)s2norm, bs));
  }

  /* Test MatMult() */
  PetscCall(MatMultEqual(A, B, 10, &flg));
  if (!flg) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error: MatMult()\n"));

  /* Test MatMultAdd() */
  PetscCall(MatMultAddEqual(A, B, 10, &flg));
  if (!flg) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error: MatMultAdd()\n"));

  /* Test MatMultTranspose() */
  PetscCall(MatMultTransposeEqual(A, B, 10, &flg));
  if (!flg) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error: MatMultTranspose()\n"));

  /* Test MatMultTransposeAdd() */
  PetscCall(MatMultTransposeAddEqual(A, B, 10, &flg));
  if (!flg) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error: MatMultTransposeAdd()\n"));

  /* Test MatMatMult() */
  PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, M, 40, NULL, &C));
  PetscCall(MatSetRandom(C, rdm));
  PetscCall(MatMatMult(A, C, MAT_INITIAL_MATRIX, PETSC_DEFAULT, &D));
  PetscCall(MatMatMultEqual(A, C, D, 40, &flg));
  if (!flg) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error: MatMatMult()\n"));
  PetscCall(MatDestroy(&D));
  PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, M, 40, NULL, &D));
  PetscCall(MatMatMult(A, C, MAT_REUSE_MATRIX, PETSC_DEFAULT, &D));
  PetscCall(MatMatMultEqual(A, C, D, 40, &flg));
  if (!flg) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error: MatMatMult()\n"));

  /* Do LUFactor() on both the matrices */
  PetscCall(PetscMalloc1(M, &idx));
  for (i = 0; i < M; i++) idx[i] = i;
  PetscCall(ISCreateGeneral(PETSC_COMM_SELF, M, idx, PETSC_COPY_VALUES, &is1));
  PetscCall(ISCreateGeneral(PETSC_COMM_SELF, M, idx, PETSC_COPY_VALUES, &is2));
  PetscCall(PetscFree(idx));
  PetscCall(ISSetPermutation(is1));
  PetscCall(ISSetPermutation(is2));

  PetscCall(MatFactorInfoInitialize(&info));

  info.fill          = 2.0;
  info.dtcol         = 0.0;
  info.zeropivot     = 1.e-14;
  info.pivotinblocks = 1.0;

  if (bs < 4) {
    PetscCall(MatGetFactor(A, "petsc", MAT_FACTOR_LU, &Fact));
    PetscCall(MatLUFactorSymbolic(Fact, A, is1, is2, &info));
    PetscCall(MatLUFactorNumeric(Fact, A, &info));
    PetscCall(VecSetRandom(yy, rdm));
    PetscCall(MatForwardSolve(Fact, yy, xx));
    PetscCall(MatBackwardSolve(Fact, xx, s1));
    PetscCall(MatDestroy(&Fact));
    PetscCall(VecScale(s1, -1.0));
    PetscCall(MatMultAdd(A, s1, yy, yy));
    PetscCall(VecNorm(yy, NORM_2, &rnorm));
    if (rnorm < -tol || rnorm > tol) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error:MatForwardSolve/MatBackwardSolve - Norm1=%16.14e bs = %" PetscInt_FMT "\n", (double)rnorm, bs));
  }

  PetscCall(MatLUFactor(B, is1, is2, &info));
  PetscCall(MatLUFactor(A, is1, is2, &info));

  /* Test MatSolveAdd() */
  for (i = 0; i < 10; i++) {
    PetscCall(VecSetRandom(xx, rdm));
    PetscCall(VecSetRandom(yy, rdm));
    PetscCall(MatSolveAdd(B, xx, yy, s2));
    PetscCall(MatSolveAdd(A, xx, yy, s1));
    PetscCall(VecNorm(s1, NORM_2, &s1norm));
    PetscCall(VecNorm(s2, NORM_2, &s2norm));
    rnorm = s2norm - s1norm;
    if (rnorm < -tol || rnorm > tol) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error:MatSolveAdd - Norm1=%16.14e Norm2=%16.14e bs = %" PetscInt_FMT "\n", (double)s1norm, (double)s2norm, bs));
  }

  /* Test MatSolveAdd() when x = A'b +x */
  for (i = 0; i < 10; i++) {
    PetscCall(VecSetRandom(xx, rdm));
    PetscCall(VecSetRandom(s1, rdm));
    PetscCall(VecCopy(s2, s1));
    PetscCall(MatSolveAdd(B, xx, s2, s2));
    PetscCall(MatSolveAdd(A, xx, s1, s1));
    PetscCall(VecNorm(s1, NORM_2, &s1norm));
    PetscCall(VecNorm(s2, NORM_2, &s2norm));
    rnorm = s2norm - s1norm;
    if (rnorm < -tol || rnorm > tol) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error:MatSolveAdd(same) - Norm1=%16.14e Norm2=%16.14e bs = %" PetscInt_FMT "\n", (double)s1norm, (double)s2norm, bs));
  }

  /* Test MatSolve() */
  for (i = 0; i < 10; i++) {
    PetscCall(VecSetRandom(xx, rdm));
    PetscCall(MatSolve(B, xx, s2));
    PetscCall(MatSolve(A, xx, s1));
    PetscCall(VecNorm(s1, NORM_2, &s1norm));
    PetscCall(VecNorm(s2, NORM_2, &s2norm));
    rnorm = s2norm - s1norm;
    if (rnorm < -tol || rnorm > tol) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error:MatSolve - Norm1=%16.14e Norm2=%16.14e bs = %" PetscInt_FMT "\n", (double)s1norm, (double)s2norm, bs));
  }

  /* Test MatSolveTranspose() */
  if (bs < 8) {
    for (i = 0; i < 10; i++) {
      PetscCall(VecSetRandom(xx, rdm));
      PetscCall(MatSolveTranspose(B, xx, s2));
      PetscCall(MatSolveTranspose(A, xx, s1));
      PetscCall(VecNorm(s1, NORM_2, &s1norm));
      PetscCall(VecNorm(s2, NORM_2, &s2norm));
      rnorm = s2norm - s1norm;
      if (rnorm < -tol || rnorm > tol) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Error:MatSolveTranspose - Norm1=%16.14e Norm2=%16.14e bs = %" PetscInt_FMT "\n", (double)s1norm, (double)s2norm, bs));
    }
  }

  PetscCall(MatDestroy(&A));
  PetscCall(MatDestroy(&B));
  PetscCall(MatDestroy(&C));
  PetscCall(MatDestroy(&D));
  PetscCall(VecDestroy(&xx));
  PetscCall(VecDestroy(&s1));
  PetscCall(VecDestroy(&s2));
  PetscCall(VecDestroy(&yy));
  PetscCall(ISDestroy(&is1));
  PetscCall(ISDestroy(&is2));
  PetscCall(PetscRandomDestroy(&rdm));
  PetscCall(PetscFinalize());
  return 0;
}

/*TEST

   test:
      args: -mat_block_size {{1 2 3 4 5 6 7 8}}

TEST*/