xref: /petsc/src/mat/impls/baij/seq/baijsolvnat15.c (revision 9371c9d470a9602b6d10a8bf50c9b2280a79e45a)

#include <../src/mat/impls/baij/seq/baij.h>
#include <petsc/private/kernels/blockinvert.h>

/* bs = 15 for PFLOTRAN. Block operations are done by accessing all the columns   of the block at once */

PetscErrorCode MatSolve_SeqBAIJ_15_NaturalOrdering_ver2(Mat A, Vec bb, Vec xx) {
  Mat_SeqBAIJ       *a = (Mat_SeqBAIJ *)A->data;
  const PetscInt     n = a->mbs, *ai = a->i, *aj = a->j, *adiag = a->diag, *vi, bs = A->rmap->bs, bs2 = a->bs2;
  PetscInt           i, nz, idx, idt, m;
  const MatScalar   *aa = a->a, *v;
  PetscScalar        s1, s2, s3, s4, s5, s6, s7, s8, s9, s10, s11, s12, s13, s14, s15;
  PetscScalar        x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15;
  PetscScalar       *x;
  const PetscScalar *b;

  PetscFunctionBegin;
  PetscCall(VecGetArrayRead(bb, &b));
  PetscCall(VecGetArray(xx, &x));

  /* forward solve the lower triangular */
  idx   = 0;
  x[0]  = b[idx];
  x[1]  = b[1 + idx];
  x[2]  = b[2 + idx];
  x[3]  = b[3 + idx];
  x[4]  = b[4 + idx];
  x[5]  = b[5 + idx];
  x[6]  = b[6 + idx];
  x[7]  = b[7 + idx];
  x[8]  = b[8 + idx];
  x[9]  = b[9 + idx];
  x[10] = b[10 + idx];
  x[11] = b[11 + idx];
  x[12] = b[12 + idx];
  x[13] = b[13 + idx];
  x[14] = b[14 + idx];

  for (i = 1; i < n; i++) {
    v   = aa + bs2 * ai[i];
    vi  = aj + ai[i];
    nz  = ai[i + 1] - ai[i];
    idt = bs * i;
    s1  = b[idt];
    s2  = b[1 + idt];
    s3  = b[2 + idt];
    s4  = b[3 + idt];
    s5  = b[4 + idt];
    s6  = b[5 + idt];
    s7  = b[6 + idt];
    s8  = b[7 + idt];
    s9  = b[8 + idt];
    s10 = b[9 + idt];
    s11 = b[10 + idt];
    s12 = b[11 + idt];
    s13 = b[12 + idt];
    s14 = b[13 + idt];
    s15 = b[14 + idt];
    for (m = 0; m < nz; m++) {
      idx = bs * vi[m];
      x1  = x[idx];
      x2  = x[1 + idx];
      x3  = x[2 + idx];
      x4  = x[3 + idx];
      x5  = x[4 + idx];
      x6  = x[5 + idx];
      x7  = x[6 + idx];
      x8  = x[7 + idx];
      x9  = x[8 + idx];
      x10 = x[9 + idx];
      x11 = x[10 + idx];
      x12 = x[11 + idx];
      x13 = x[12 + idx];
      x14 = x[13 + idx];
      x15 = x[14 + idx];

      s1 -= v[0] * x1 + v[15] * x2 + v[30] * x3 + v[45] * x4 + v[60] * x5 + v[75] * x6 + v[90] * x7 + v[105] * x8 + v[120] * x9 + v[135] * x10 + v[150] * x11 + v[165] * x12 + v[180] * x13 + v[195] * x14 + v[210] * x15;
      s2 -= v[1] * x1 + v[16] * x2 + v[31] * x3 + v[46] * x4 + v[61] * x5 + v[76] * x6 + v[91] * x7 + v[106] * x8 + v[121] * x9 + v[136] * x10 + v[151] * x11 + v[166] * x12 + v[181] * x13 + v[196] * x14 + v[211] * x15;
      s3 -= v[2] * x1 + v[17] * x2 + v[32] * x3 + v[47] * x4 + v[62] * x5 + v[77] * x6 + v[92] * x7 + v[107] * x8 + v[122] * x9 + v[137] * x10 + v[152] * x11 + v[167] * x12 + v[182] * x13 + v[197] * x14 + v[212] * x15;
      s4 -= v[3] * x1 + v[18] * x2 + v[33] * x3 + v[48] * x4 + v[63] * x5 + v[78] * x6 + v[93] * x7 + v[108] * x8 + v[123] * x9 + v[138] * x10 + v[153] * x11 + v[168] * x12 + v[183] * x13 + v[198] * x14 + v[213] * x15;
      s5 -= v[4] * x1 + v[19] * x2 + v[34] * x3 + v[49] * x4 + v[64] * x5 + v[79] * x6 + v[94] * x7 + v[109] * x8 + v[124] * x9 + v[139] * x10 + v[154] * x11 + v[169] * x12 + v[184] * x13 + v[199] * x14 + v[214] * x15;
      s6 -= v[5] * x1 + v[20] * x2 + v[35] * x3 + v[50] * x4 + v[65] * x5 + v[80] * x6 + v[95] * x7 + v[110] * x8 + v[125] * x9 + v[140] * x10 + v[155] * x11 + v[170] * x12 + v[185] * x13 + v[200] * x14 + v[215] * x15;
      s7 -= v[6] * x1 + v[21] * x2 + v[36] * x3 + v[51] * x4 + v[66] * x5 + v[81] * x6 + v[96] * x7 + v[111] * x8 + v[126] * x9 + v[141] * x10 + v[156] * x11 + v[171] * x12 + v[186] * x13 + v[201] * x14 + v[216] * x15;
      s8 -= v[7] * x1 + v[22] * x2 + v[37] * x3 + v[52] * x4 + v[67] * x5 + v[82] * x6 + v[97] * x7 + v[112] * x8 + v[127] * x9 + v[142] * x10 + v[157] * x11 + v[172] * x12 + v[187] * x13 + v[202] * x14 + v[217] * x15;
      s9 -= v[8] * x1 + v[23] * x2 + v[38] * x3 + v[53] * x4 + v[68] * x5 + v[83] * x6 + v[98] * x7 + v[113] * x8 + v[128] * x9 + v[143] * x10 + v[158] * x11 + v[173] * x12 + v[188] * x13 + v[203] * x14 + v[218] * x15;
      s10 -= v[9] * x1 + v[24] * x2 + v[39] * x3 + v[54] * x4 + v[69] * x5 + v[84] * x6 + v[99] * x7 + v[114] * x8 + v[129] * x9 + v[144] * x10 + v[159] * x11 + v[174] * x12 + v[189] * x13 + v[204] * x14 + v[219] * x15;
      s11 -= v[10] * x1 + v[25] * x2 + v[40] * x3 + v[55] * x4 + v[70] * x5 + v[85] * x6 + v[100] * x7 + v[115] * x8 + v[130] * x9 + v[145] * x10 + v[160] * x11 + v[175] * x12 + v[190] * x13 + v[205] * x14 + v[220] * x15;
      s12 -= v[11] * x1 + v[26] * x2 + v[41] * x3 + v[56] * x4 + v[71] * x5 + v[86] * x6 + v[101] * x7 + v[116] * x8 + v[131] * x9 + v[146] * x10 + v[161] * x11 + v[176] * x12 + v[191] * x13 + v[206] * x14 + v[221] * x15;
      s13 -= v[12] * x1 + v[27] * x2 + v[42] * x3 + v[57] * x4 + v[72] * x5 + v[87] * x6 + v[102] * x7 + v[117] * x8 + v[132] * x9 + v[147] * x10 + v[162] * x11 + v[177] * x12 + v[192] * x13 + v[207] * x14 + v[222] * x15;
      s14 -= v[13] * x1 + v[28] * x2 + v[43] * x3 + v[58] * x4 + v[73] * x5 + v[88] * x6 + v[103] * x7 + v[118] * x8 + v[133] * x9 + v[148] * x10 + v[163] * x11 + v[178] * x12 + v[193] * x13 + v[208] * x14 + v[223] * x15;
      s15 -= v[14] * x1 + v[29] * x2 + v[44] * x3 + v[59] * x4 + v[74] * x5 + v[89] * x6 + v[104] * x7 + v[119] * x8 + v[134] * x9 + v[149] * x10 + v[164] * x11 + v[179] * x12 + v[194] * x13 + v[209] * x14 + v[224] * x15;

      v += bs2;
    }
    x[idt]      = s1;
    x[1 + idt]  = s2;
    x[2 + idt]  = s3;
    x[3 + idt]  = s4;
    x[4 + idt]  = s5;
    x[5 + idt]  = s6;
    x[6 + idt]  = s7;
    x[7 + idt]  = s8;
    x[8 + idt]  = s9;
    x[9 + idt]  = s10;
    x[10 + idt] = s11;
    x[11 + idt] = s12;
    x[12 + idt] = s13;
    x[13 + idt] = s14;
    x[14 + idt] = s15;
  }
  /* backward solve the upper triangular */
  for (i = n - 1; i >= 0; i--) {
    v   = aa + bs2 * (adiag[i + 1] + 1);
    vi  = aj + adiag[i + 1] + 1;
    nz  = adiag[i] - adiag[i + 1] - 1;
    idt = bs * i;
    s1  = x[idt];
    s2  = x[1 + idt];
    s3  = x[2 + idt];
    s4  = x[3 + idt];
    s5  = x[4 + idt];
    s6  = x[5 + idt];
    s7  = x[6 + idt];
    s8  = x[7 + idt];
    s9  = x[8 + idt];
    s10 = x[9 + idt];
    s11 = x[10 + idt];
    s12 = x[11 + idt];
    s13 = x[12 + idt];
    s14 = x[13 + idt];
    s15 = x[14 + idt];

    for (m = 0; m < nz; m++) {
      idx = bs * vi[m];
      x1  = x[idx];
      x2  = x[1 + idx];
      x3  = x[2 + idx];
      x4  = x[3 + idx];
      x5  = x[4 + idx];
      x6  = x[5 + idx];
      x7  = x[6 + idx];
      x8  = x[7 + idx];
      x9  = x[8 + idx];
      x10 = x[9 + idx];
      x11 = x[10 + idx];
      x12 = x[11 + idx];
      x13 = x[12 + idx];
      x14 = x[13 + idx];
      x15 = x[14 + idx];

      s1 -= v[0] * x1 + v[15] * x2 + v[30] * x3 + v[45] * x4 + v[60] * x5 + v[75] * x6 + v[90] * x7 + v[105] * x8 + v[120] * x9 + v[135] * x10 + v[150] * x11 + v[165] * x12 + v[180] * x13 + v[195] * x14 + v[210] * x15;
      s2 -= v[1] * x1 + v[16] * x2 + v[31] * x3 + v[46] * x4 + v[61] * x5 + v[76] * x6 + v[91] * x7 + v[106] * x8 + v[121] * x9 + v[136] * x10 + v[151] * x11 + v[166] * x12 + v[181] * x13 + v[196] * x14 + v[211] * x15;
      s3 -= v[2] * x1 + v[17] * x2 + v[32] * x3 + v[47] * x4 + v[62] * x5 + v[77] * x6 + v[92] * x7 + v[107] * x8 + v[122] * x9 + v[137] * x10 + v[152] * x11 + v[167] * x12 + v[182] * x13 + v[197] * x14 + v[212] * x15;
      s4 -= v[3] * x1 + v[18] * x2 + v[33] * x3 + v[48] * x4 + v[63] * x5 + v[78] * x6 + v[93] * x7 + v[108] * x8 + v[123] * x9 + v[138] * x10 + v[153] * x11 + v[168] * x12 + v[183] * x13 + v[198] * x14 + v[213] * x15;
      s5 -= v[4] * x1 + v[19] * x2 + v[34] * x3 + v[49] * x4 + v[64] * x5 + v[79] * x6 + v[94] * x7 + v[109] * x8 + v[124] * x9 + v[139] * x10 + v[154] * x11 + v[169] * x12 + v[184] * x13 + v[199] * x14 + v[214] * x15;
      s6 -= v[5] * x1 + v[20] * x2 + v[35] * x3 + v[50] * x4 + v[65] * x5 + v[80] * x6 + v[95] * x7 + v[110] * x8 + v[125] * x9 + v[140] * x10 + v[155] * x11 + v[170] * x12 + v[185] * x13 + v[200] * x14 + v[215] * x15;
      s7 -= v[6] * x1 + v[21] * x2 + v[36] * x3 + v[51] * x4 + v[66] * x5 + v[81] * x6 + v[96] * x7 + v[111] * x8 + v[126] * x9 + v[141] * x10 + v[156] * x11 + v[171] * x12 + v[186] * x13 + v[201] * x14 + v[216] * x15;
      s8 -= v[7] * x1 + v[22] * x2 + v[37] * x3 + v[52] * x4 + v[67] * x5 + v[82] * x6 + v[97] * x7 + v[112] * x8 + v[127] * x9 + v[142] * x10 + v[157] * x11 + v[172] * x12 + v[187] * x13 + v[202] * x14 + v[217] * x15;
      s9 -= v[8] * x1 + v[23] * x2 + v[38] * x3 + v[53] * x4 + v[68] * x5 + v[83] * x6 + v[98] * x7 + v[113] * x8 + v[128] * x9 + v[143] * x10 + v[158] * x11 + v[173] * x12 + v[188] * x13 + v[203] * x14 + v[218] * x15;
      s10 -= v[9] * x1 + v[24] * x2 + v[39] * x3 + v[54] * x4 + v[69] * x5 + v[84] * x6 + v[99] * x7 + v[114] * x8 + v[129] * x9 + v[144] * x10 + v[159] * x11 + v[174] * x12 + v[189] * x13 + v[204] * x14 + v[219] * x15;
      s11 -= v[10] * x1 + v[25] * x2 + v[40] * x3 + v[55] * x4 + v[70] * x5 + v[85] * x6 + v[100] * x7 + v[115] * x8 + v[130] * x9 + v[145] * x10 + v[160] * x11 + v[175] * x12 + v[190] * x13 + v[205] * x14 + v[220] * x15;
      s12 -= v[11] * x1 + v[26] * x2 + v[41] * x3 + v[56] * x4 + v[71] * x5 + v[86] * x6 + v[101] * x7 + v[116] * x8 + v[131] * x9 + v[146] * x10 + v[161] * x11 + v[176] * x12 + v[191] * x13 + v[206] * x14 + v[221] * x15;
      s13 -= v[12] * x1 + v[27] * x2 + v[42] * x3 + v[57] * x4 + v[72] * x5 + v[87] * x6 + v[102] * x7 + v[117] * x8 + v[132] * x9 + v[147] * x10 + v[162] * x11 + v[177] * x12 + v[192] * x13 + v[207] * x14 + v[222] * x15;
      s14 -= v[13] * x1 + v[28] * x2 + v[43] * x3 + v[58] * x4 + v[73] * x5 + v[88] * x6 + v[103] * x7 + v[118] * x8 + v[133] * x9 + v[148] * x10 + v[163] * x11 + v[178] * x12 + v[193] * x13 + v[208] * x14 + v[223] * x15;
      s15 -= v[14] * x1 + v[29] * x2 + v[44] * x3 + v[59] * x4 + v[74] * x5 + v[89] * x6 + v[104] * x7 + v[119] * x8 + v[134] * x9 + v[149] * x10 + v[164] * x11 + v[179] * x12 + v[194] * x13 + v[209] * x14 + v[224] * x15;

      v += bs2;
    }

    x[idt]      = v[0] * s1 + v[15] * s2 + v[30] * s3 + v[45] * s4 + v[60] * s5 + v[75] * s6 + v[90] * s7 + v[105] * s8 + v[120] * s9 + v[135] * s10 + v[150] * s11 + v[165] * s12 + v[180] * s13 + v[195] * s14 + v[210] * s15;
    x[1 + idt]  = v[1] * s1 + v[16] * s2 + v[31] * s3 + v[46] * s4 + v[61] * s5 + v[76] * s6 + v[91] * s7 + v[106] * s8 + v[121] * s9 + v[136] * s10 + v[151] * s11 + v[166] * s12 + v[181] * s13 + v[196] * s14 + v[211] * s15;
    x[2 + idt]  = v[2] * s1 + v[17] * s2 + v[32] * s3 + v[47] * s4 + v[62] * s5 + v[77] * s6 + v[92] * s7 + v[107] * s8 + v[122] * s9 + v[137] * s10 + v[152] * s11 + v[167] * s12 + v[182] * s13 + v[197] * s14 + v[212] * s15;
    x[3 + idt]  = v[3] * s1 + v[18] * s2 + v[33] * s3 + v[48] * s4 + v[63] * s5 + v[78] * s6 + v[93] * s7 + v[108] * s8 + v[123] * s9 + v[138] * s10 + v[153] * s11 + v[168] * s12 + v[183] * s13 + v[198] * s14 + v[213] * s15;
    x[4 + idt]  = v[4] * s1 + v[19] * s2 + v[34] * s3 + v[49] * s4 + v[64] * s5 + v[79] * s6 + v[94] * s7 + v[109] * s8 + v[124] * s9 + v[139] * s10 + v[154] * s11 + v[169] * s12 + v[184] * s13 + v[199] * s14 + v[214] * s15;
    x[5 + idt]  = v[5] * s1 + v[20] * s2 + v[35] * s3 + v[50] * s4 + v[65] * s5 + v[80] * s6 + v[95] * s7 + v[110] * s8 + v[125] * s9 + v[140] * s10 + v[155] * s11 + v[170] * s12 + v[185] * s13 + v[200] * s14 + v[215] * s15;
    x[6 + idt]  = v[6] * s1 + v[21] * s2 + v[36] * s3 + v[51] * s4 + v[66] * s5 + v[81] * s6 + v[96] * s7 + v[111] * s8 + v[126] * s9 + v[141] * s10 + v[156] * s11 + v[171] * s12 + v[186] * s13 + v[201] * s14 + v[216] * s15;
    x[7 + idt]  = v[7] * s1 + v[22] * s2 + v[37] * s3 + v[52] * s4 + v[67] * s5 + v[82] * s6 + v[97] * s7 + v[112] * s8 + v[127] * s9 + v[142] * s10 + v[157] * s11 + v[172] * s12 + v[187] * s13 + v[202] * s14 + v[217] * s15;
    x[8 + idt]  = v[8] * s1 + v[23] * s2 + v[38] * s3 + v[53] * s4 + v[68] * s5 + v[83] * s6 + v[98] * s7 + v[113] * s8 + v[128] * s9 + v[143] * s10 + v[158] * s11 + v[173] * s12 + v[188] * s13 + v[203] * s14 + v[218] * s15;
    x[9 + idt]  = v[9] * s1 + v[24] * s2 + v[39] * s3 + v[54] * s4 + v[69] * s5 + v[84] * s6 + v[99] * s7 + v[114] * s8 + v[129] * s9 + v[144] * s10 + v[159] * s11 + v[174] * s12 + v[189] * s13 + v[204] * s14 + v[219] * s15;
    x[10 + idt] = v[10] * s1 + v[25] * s2 + v[40] * s3 + v[55] * s4 + v[70] * s5 + v[85] * s6 + v[100] * s7 + v[115] * s8 + v[130] * s9 + v[145] * s10 + v[160] * s11 + v[175] * s12 + v[190] * s13 + v[205] * s14 + v[220] * s15;
    x[11 + idt] = v[11] * s1 + v[26] * s2 + v[41] * s3 + v[56] * s4 + v[71] * s5 + v[86] * s6 + v[101] * s7 + v[116] * s8 + v[131] * s9 + v[146] * s10 + v[161] * s11 + v[176] * s12 + v[191] * s13 + v[206] * s14 + v[221] * s15;
    x[12 + idt] = v[12] * s1 + v[27] * s2 + v[42] * s3 + v[57] * s4 + v[72] * s5 + v[87] * s6 + v[102] * s7 + v[117] * s8 + v[132] * s9 + v[147] * s10 + v[162] * s11 + v[177] * s12 + v[192] * s13 + v[207] * s14 + v[222] * s15;
    x[13 + idt] = v[13] * s1 + v[28] * s2 + v[43] * s3 + v[58] * s4 + v[73] * s5 + v[88] * s6 + v[103] * s7 + v[118] * s8 + v[133] * s9 + v[148] * s10 + v[163] * s11 + v[178] * s12 + v[193] * s13 + v[208] * s14 + v[223] * s15;
    x[14 + idt] = v[14] * s1 + v[29] * s2 + v[44] * s3 + v[59] * s4 + v[74] * s5 + v[89] * s6 + v[104] * s7 + v[119] * s8 + v[134] * s9 + v[149] * s10 + v[164] * s11 + v[179] * s12 + v[194] * s13 + v[209] * s14 + v[224] * s15;
  }

  PetscCall(VecRestoreArrayRead(bb, &b));
  PetscCall(VecRestoreArray(xx, &x));
  PetscCall(PetscLogFlops(2.0 * bs2 * (a->nz) - bs * A->cmap->n));
  PetscFunctionReturn(0);
}

/* bs = 15 for PFLOTRAN. Block operations are done by accessing one column at at time */
/* Default MatSolve for block size 15 */

PetscErrorCode MatSolve_SeqBAIJ_15_NaturalOrdering_ver1(Mat A, Vec bb, Vec xx) {
  Mat_SeqBAIJ       *a = (Mat_SeqBAIJ *)A->data;
  const PetscInt     n = a->mbs, *ai = a->i, *aj = a->j, *adiag = a->diag, *vi, bs = A->rmap->bs, bs2 = a->bs2;
  PetscInt           i, k, nz, idx, idt, m;
  const MatScalar   *aa = a->a, *v;
  PetscScalar        s[15];
  PetscScalar       *x, xv;
  const PetscScalar *b;

  PetscFunctionBegin;
  PetscCall(VecGetArrayRead(bb, &b));
  PetscCall(VecGetArray(xx, &x));

  /* forward solve the lower triangular */
  for (i = 0; i < n; i++) {
    v           = aa + bs2 * ai[i];
    vi          = aj + ai[i];
    nz          = ai[i + 1] - ai[i];
    idt         = bs * i;
    x[idt]      = b[idt];
    x[1 + idt]  = b[1 + idt];
    x[2 + idt]  = b[2 + idt];
    x[3 + idt]  = b[3 + idt];
    x[4 + idt]  = b[4 + idt];
    x[5 + idt]  = b[5 + idt];
    x[6 + idt]  = b[6 + idt];
    x[7 + idt]  = b[7 + idt];
    x[8 + idt]  = b[8 + idt];
    x[9 + idt]  = b[9 + idt];
    x[10 + idt] = b[10 + idt];
    x[11 + idt] = b[11 + idt];
    x[12 + idt] = b[12 + idt];
    x[13 + idt] = b[13 + idt];
    x[14 + idt] = b[14 + idt];
    for (m = 0; m < nz; m++) {
      idx = bs * vi[m];
      for (k = 0; k < 15; k++) {
        xv = x[k + idx];
        x[idt] -= v[0] * xv;
        x[1 + idt] -= v[1] * xv;
        x[2 + idt] -= v[2] * xv;
        x[3 + idt] -= v[3] * xv;
        x[4 + idt] -= v[4] * xv;
        x[5 + idt] -= v[5] * xv;
        x[6 + idt] -= v[6] * xv;
        x[7 + idt] -= v[7] * xv;
        x[8 + idt] -= v[8] * xv;
        x[9 + idt] -= v[9] * xv;
        x[10 + idt] -= v[10] * xv;
        x[11 + idt] -= v[11] * xv;
        x[12 + idt] -= v[12] * xv;
        x[13 + idt] -= v[13] * xv;
        x[14 + idt] -= v[14] * xv;
        v += 15;
      }
    }
  }
  /* backward solve the upper triangular */
  for (i = n - 1; i >= 0; i--) {
    v     = aa + bs2 * (adiag[i + 1] + 1);
    vi    = aj + adiag[i + 1] + 1;
    nz    = adiag[i] - adiag[i + 1] - 1;
    idt   = bs * i;
    s[0]  = x[idt];
    s[1]  = x[1 + idt];
    s[2]  = x[2 + idt];
    s[3]  = x[3 + idt];
    s[4]  = x[4 + idt];
    s[5]  = x[5 + idt];
    s[6]  = x[6 + idt];
    s[7]  = x[7 + idt];
    s[8]  = x[8 + idt];
    s[9]  = x[9 + idt];
    s[10] = x[10 + idt];
    s[11] = x[11 + idt];
    s[12] = x[12 + idt];
    s[13] = x[13 + idt];
    s[14] = x[14 + idt];

    for (m = 0; m < nz; m++) {
      idx = bs * vi[m];
      for (k = 0; k < 15; k++) {
        xv = x[k + idx];
        s[0] -= v[0] * xv;
        s[1] -= v[1] * xv;
        s[2] -= v[2] * xv;
        s[3] -= v[3] * xv;
        s[4] -= v[4] * xv;
        s[5] -= v[5] * xv;
        s[6] -= v[6] * xv;
        s[7] -= v[7] * xv;
        s[8] -= v[8] * xv;
        s[9] -= v[9] * xv;
        s[10] -= v[10] * xv;
        s[11] -= v[11] * xv;
        s[12] -= v[12] * xv;
        s[13] -= v[13] * xv;
        s[14] -= v[14] * xv;
        v += 15;
      }
    }
    PetscCall(PetscArrayzero(x + idt, bs));
    for (k = 0; k < 15; k++) {
      x[idt] += v[0] * s[k];
      x[1 + idt] += v[1] * s[k];
      x[2 + idt] += v[2] * s[k];
      x[3 + idt] += v[3] * s[k];
      x[4 + idt] += v[4] * s[k];
      x[5 + idt] += v[5] * s[k];
      x[6 + idt] += v[6] * s[k];
      x[7 + idt] += v[7] * s[k];
      x[8 + idt] += v[8] * s[k];
      x[9 + idt] += v[9] * s[k];
      x[10 + idt] += v[10] * s[k];
      x[11 + idt] += v[11] * s[k];
      x[12 + idt] += v[12] * s[k];
      x[13 + idt] += v[13] * s[k];
      x[14 + idt] += v[14] * s[k];
      v += 15;
    }
  }
  PetscCall(VecRestoreArrayRead(bb, &b));
  PetscCall(VecRestoreArray(xx, &x));
  PetscCall(PetscLogFlops(2.0 * bs2 * (a->nz) - bs * A->cmap->n));
  PetscFunctionReturn(0);
}