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source_gemm_c.h

/* blas/source_gemm_c.h
 *
 * Copyright (C) 2001, 2007 Brian Gough
 *
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 3 of the License, or (at
 * your option) any later version.
 *
 * This program is distributed in the hope that it will be useful, but
 * WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 * General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
 */

{
  INDEX i, j, k;
  INDEX n1, n2;
  INDEX ldf, ldg;
  int conjF, conjG, TransF, TransG;
  const BASE *F, *G;

  CHECK_ARGS14(GEMM,Order,TransA,TransB,M,N,K,alpha,A,lda,B,ldb,beta,C,ldc);

  {
    const BASE alpha_real = CONST_REAL0(alpha);
    const BASE alpha_imag = CONST_IMAG0(alpha);

    const BASE beta_real = CONST_REAL0(beta);
    const BASE beta_imag = CONST_IMAG0(beta);

    if ((alpha_real == 0.0 && alpha_imag == 0.0)
        && (beta_real == 1.0 && beta_imag == 0.0))
      return;

    if (Order == CblasRowMajor) {
      n1 = M;
      n2 = N;
      F = (const BASE *)A;
      ldf = lda;
      conjF = (TransA == CblasConjTrans) ? -1 : 1;
      TransF = (TransA == CblasNoTrans) ? CblasNoTrans : CblasTrans;
      G = (const BASE *)B;
      ldg = ldb;
      conjG = (TransB == CblasConjTrans) ? -1 : 1;
      TransG = (TransB == CblasNoTrans) ? CblasNoTrans : CblasTrans;
    } else {
      n1 = N;
      n2 = M;
      F = (const BASE *)B;
      ldf = ldb;
      conjF = (TransB == CblasConjTrans) ? -1 : 1;
      TransF = (TransB == CblasNoTrans) ? CblasNoTrans : CblasTrans;
      G = (const BASE *)A;
      ldg = lda;
      conjG = (TransA == CblasConjTrans) ? -1 : 1;
      TransG = (TransA == CblasNoTrans) ? CblasNoTrans : CblasTrans;
    }

    /* form  y := beta*y */
    if (beta_real == 0.0 && beta_imag == 0.0) {
      for (i = 0; i < n1; i++) {
        for (j = 0; j < n2; j++) {
          REAL(C, ldc * i + j) = 0.0;
          IMAG(C, ldc * i + j) = 0.0;
        }
      }
    } else if (!(beta_real == 1.0 && beta_imag == 0.0)) {
      for (i = 0; i < n1; i++) {
        for (j = 0; j < n2; j++) {
          const BASE Cij_real = REAL(C, ldc * i + j);
          const BASE Cij_imag = IMAG(C, ldc * i + j);
          REAL(C, ldc * i + j) = beta_real * Cij_real - beta_imag * Cij_imag;
          IMAG(C, ldc * i + j) = beta_real * Cij_imag + beta_imag * Cij_real;
        }
      }
    }

    if (alpha_real == 0.0 && alpha_imag == 0.0)
      return;

    if (TransF == CblasNoTrans && TransG == CblasNoTrans) {

      /* form  C := alpha*A*B + C */

      for (k = 0; k < K; k++) {
        for (i = 0; i < n1; i++) {
          const BASE Fik_real = CONST_REAL(F, ldf * i + k);
          const BASE Fik_imag = conjF * CONST_IMAG(F, ldf * i + k);
          const BASE temp_real = alpha_real * Fik_real - alpha_imag * Fik_imag;
          const BASE temp_imag = alpha_real * Fik_imag + alpha_imag * Fik_real;
          if (!(temp_real == 0.0 && temp_imag == 0.0)) {
            for (j = 0; j < n2; j++) {
              const BASE Gkj_real = CONST_REAL(G, ldg * k + j);
              const BASE Gkj_imag = conjG * CONST_IMAG(G, ldg * k + j);
              REAL(C, ldc * i + j) += temp_real * Gkj_real - temp_imag * Gkj_imag;
              IMAG(C, ldc * i + j) += temp_real * Gkj_imag + temp_imag * Gkj_real;
            }
          }
        }
      }

    } else if (TransF == CblasNoTrans && TransG == CblasTrans) {

      /* form  C := alpha*A*B' + C */

      for (i = 0; i < n1; i++) {
        for (j = 0; j < n2; j++) {
          BASE temp_real = 0.0;
          BASE temp_imag = 0.0;
          for (k = 0; k < K; k++) {
            const BASE Fik_real = CONST_REAL(F, ldf * i + k);
            const BASE Fik_imag = conjF * CONST_IMAG(F, ldf * i + k);
            const BASE Gjk_real = CONST_REAL(G, ldg * j + k);
            const BASE Gjk_imag = conjG * CONST_IMAG(G, ldg * j + k);
            temp_real += Fik_real * Gjk_real - Fik_imag * Gjk_imag;
            temp_imag += Fik_real * Gjk_imag + Fik_imag * Gjk_real;
          }
          REAL(C, ldc * i + j) += alpha_real * temp_real - alpha_imag * temp_imag;
          IMAG(C, ldc * i + j) += alpha_real * temp_imag + alpha_imag * temp_real;
        }
      }

    } else if (TransF == CblasTrans && TransG == CblasNoTrans) {

      for (k = 0; k < K; k++) {
        for (i = 0; i < n1; i++) {
          const BASE Fki_real = CONST_REAL(F, ldf * k + i);
          const BASE Fki_imag = conjF * CONST_IMAG(F, ldf * k + i);
          const BASE temp_real = alpha_real * Fki_real - alpha_imag * Fki_imag;
          const BASE temp_imag = alpha_real * Fki_imag + alpha_imag * Fki_real;
          if (!(temp_real == 0.0 && temp_imag == 0.0)) {
            for (j = 0; j < n2; j++) {
              const BASE Gkj_real = CONST_REAL(G, ldg * k + j);
              const BASE Gkj_imag = conjG * CONST_IMAG(G, ldg * k + j);
              REAL(C, ldc * i + j) += temp_real * Gkj_real - temp_imag * Gkj_imag;
              IMAG(C, ldc * i + j) += temp_real * Gkj_imag + temp_imag * Gkj_real;
            }
          }
        }
      }

    } else if (TransF == CblasTrans && TransG == CblasTrans) {

      for (i = 0; i < n1; i++) {
        for (j = 0; j < n2; j++) {
          BASE temp_real = 0.0;
          BASE temp_imag = 0.0;
          for (k = 0; k < K; k++) {
            const BASE Fki_real = CONST_REAL(F, ldf * k + i);
            const BASE Fki_imag = conjF * CONST_IMAG(F, ldf * k + i);
            const BASE Gjk_real = CONST_REAL(G, ldg * j + k);
            const BASE Gjk_imag = conjG * CONST_IMAG(G, ldg * j + k);

            temp_real += Fki_real * Gjk_real - Fki_imag * Gjk_imag;
            temp_imag += Fki_real * Gjk_imag + Fki_imag * Gjk_real;
          }
          REAL(C, ldc * i + j) += alpha_real * temp_real - alpha_imag * temp_imag;
          IMAG(C, ldc * i + j) += alpha_real * temp_imag + alpha_imag * temp_real;
        }
      }

    } else {
      BLAS_ERROR("unrecognized operation");
    }
  }
}

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