source_gemm_c.h

开放gsl矩阵运算

/* blas/source_gemm_c.h
 * 
 * Copyright (C) 2001 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 2 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., 675 Mass Ave, Cambridge, MA 02139, USA.
 */

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

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