/* blas/source_trmm_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;

  const int nonunit = (Diag == CblasNonUnit);

  const int conj = (TransA == CblasConjTrans) ? -1 : 1;

  int side, uplo, trans;

  CHECK_ARGS12(TRMM,Order,Side,Uplo,TransA,Diag,M,N,alpha,A,lda,B,ldb);

  {

    const BASE alpha_real = CONST_REAL0(alpha);

    const BASE alpha_imag = CONST_IMAG0(alpha);

    if (Order == CblasRowMajor) {

      n1 = M;

      n2 = N;

      side = Side;

      uplo = Uplo;

      trans = (TransA == CblasNoTrans) ? CblasNoTrans : CblasTrans;

    } else {

      n1 = N;

      n2 = M;

      side = (Side == CblasLeft) ? CblasRight : CblasLeft;        /* exchanged */

      uplo = (Uplo == CblasUpper) ? CblasLower : CblasUpper;      /* exchanged */

      trans = (TransA == CblasNoTrans) ? CblasNoTrans : CblasTrans;       /* same */

    }

    if (side == CblasLeft && uplo == CblasUpper && trans == CblasNoTrans) {

      /* form  B := alpha * TriU(A)*B */

      for (i = 0; i < n1; i++) {

        for (j = 0; j < n2; j++) {

          BASE temp_real = 0.0;

          BASE temp_imag = 0.0;

          if (nonunit) {

            const BASE Aii_real = CONST_REAL(A, i * lda + i);

            const BASE Aii_imag = conj * CONST_IMAG(A, i * lda + i);

            const BASE Bij_real = REAL(B, i * ldb + j);

            const BASE Bij_imag = IMAG(B, i * ldb + j);

            temp_real = Aii_real * Bij_real - Aii_imag * Bij_imag;

            temp_imag = Aii_real * Bij_imag + Aii_imag * Bij_real;

          } else {

            temp_real = REAL(B, i * ldb + j);

            temp_imag = IMAG(B, i * ldb + j);

          }

          for (k = i + 1; k < n1; k++) {

            const BASE Aik_real = CONST_REAL(A, i * lda + k);

            const BASE Aik_imag = conj * CONST_IMAG(A, i * lda + k);

            const BASE Bkj_real = REAL(B, k * ldb + j);

            const BASE Bkj_imag = IMAG(B, k * ldb + j);

            temp_real += Aik_real * Bkj_real - Aik_imag * Bkj_imag;

            temp_imag += Aik_real * Bkj_imag + Aik_imag * Bkj_real;

          }

          REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;

          IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;

        }

      }

    } else if (side == CblasLeft && uplo == CblasUpper && trans == CblasTrans) {

      /* form  B := alpha * (TriU(A))' *B */

      for (i = n1; i > 0 && i--;) {

        for (j = 0; j < n2; j++) {

          BASE temp_real = 0.0;

          BASE temp_imag = 0.0;

          for (k = 0; k < i; k++) {

            const BASE Aki_real = CONST_REAL(A, k * lda + i);

            const BASE Aki_imag = conj * CONST_IMAG(A, k * lda + i);

            const BASE Bkj_real = REAL(B, k * ldb + j);

            const BASE Bkj_imag = IMAG(B, k * ldb + j);

            temp_real += Aki_real * Bkj_real - Aki_imag * Bkj_imag;

            temp_imag += Aki_real * Bkj_imag + Aki_imag * Bkj_real;

          }

          if (nonunit) {

            const BASE Aii_real = CONST_REAL(A, i * lda + i);

            const BASE Aii_imag = conj * CONST_IMAG(A, i * lda + i);

            const BASE Bij_real = REAL(B, i * ldb + j);

            const BASE Bij_imag = IMAG(B, i * ldb + j);

            temp_real += Aii_real * Bij_real - Aii_imag * Bij_imag;

            temp_imag += Aii_real * Bij_imag + Aii_imag * Bij_real;

          } else {

            temp_real += REAL(B, i * ldb + j);

            temp_imag += IMAG(B, i * ldb + j);

          }

          REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;

          IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;

        }

      }

    } else if (side == CblasLeft && uplo == CblasLower && trans == CblasNoTrans) {

      /* form  B := alpha * TriL(A)*B */

      for (i = n1; i > 0 && i--;) {

        for (j = 0; j < n2; j++) {

          BASE temp_real = 0.0;

          BASE temp_imag = 0.0;

          for (k = 0; k < i; k++) {

            const BASE Aik_real = CONST_REAL(A, i * lda + k);

            const BASE Aik_imag = conj * CONST_IMAG(A, i * lda + k);

            const BASE Bkj_real = REAL(B, k * ldb + j);

            const BASE Bkj_imag = IMAG(B, k * ldb + j);

            temp_real += Aik_real * Bkj_real - Aik_imag * Bkj_imag;

            temp_imag += Aik_real * Bkj_imag + Aik_imag * Bkj_real;

          }

          if (nonunit) {

            const BASE Aii_real = CONST_REAL(A, i * lda + i);

            const BASE Aii_imag = conj * CONST_IMAG(A, i * lda + i);

            const BASE Bij_real = REAL(B, i * ldb + j);

            const BASE Bij_imag = IMAG(B, i * ldb + j);

            temp_real += Aii_real * Bij_real - Aii_imag * Bij_imag;

            temp_imag += Aii_real * Bij_imag + Aii_imag * Bij_real;

          } else {

            temp_real += REAL(B, i * ldb + j);

            temp_imag += IMAG(B, i * ldb + j);

          }

          REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;

          IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;

        }

      }

    } else if (side == CblasLeft && uplo == CblasLower && trans == CblasTrans) {

      /* form  B := alpha * TriL(A)' *B */

      for (i = 0; i < n1; i++) {

        for (j = 0; j < n2; j++) {

          BASE temp_real = 0.0;

          BASE temp_imag = 0.0;

          if (nonunit) {

            const BASE Aii_real = CONST_REAL(A, i * lda + i);

            const BASE Aii_imag = conj * CONST_IMAG(A, i * lda + i);

            const BASE Bij_real = REAL(B, i * ldb + j);

            const BASE Bij_imag = IMAG(B, i * ldb + j);

            temp_real = Aii_real * Bij_real - Aii_imag * Bij_imag;

            temp_imag = Aii_real * Bij_imag + Aii_imag * Bij_real;

          } else {

            temp_real = REAL(B, i * ldb + j);

            temp_imag = IMAG(B, i * ldb + j);

          }

          for (k = i + 1; k < n1; k++) {

            const BASE Aki_real = CONST_REAL(A, k * lda + i);

            const BASE Aki_imag = conj * CONST_IMAG(A, k * lda + i);

            const BASE Bkj_real = REAL(B, k * ldb + j);

            const BASE Bkj_imag = IMAG(B, k * ldb + j);

            temp_real += Aki_real * Bkj_real - Aki_imag * Bkj_imag;

            temp_imag += Aki_real * Bkj_imag + Aki_imag * Bkj_real;

          }

          REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;

          IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;

        }

      }

    } else if (side == CblasRight && uplo == CblasUpper && trans == CblasNoTrans) {

      /* form  B := alpha * B * TriU(A) */

      for (i = 0; i < n1; i++) {

        for (j = n2; j > 0 && j--;) {

          BASE temp_real = 0.0;

          BASE temp_imag = 0.0;

          for (k = 0; k < j; k++) {

            const BASE Akj_real = CONST_REAL(A, k * lda + j);

            const BASE Akj_imag = conj * CONST_IMAG(A, k * lda + j);

            const BASE Bik_real = REAL(B, i * ldb + k);

            const BASE Bik_imag = IMAG(B, i * ldb + k);

            temp_real += Akj_real * Bik_real - Akj_imag * Bik_imag;

            temp_imag += Akj_real * Bik_imag + Akj_imag * Bik_real;

          }

          if (nonunit) {

            const BASE Ajj_real = CONST_REAL(A, j * lda + j);

            const BASE Ajj_imag = conj * CONST_IMAG(A, j * lda + j);

            const BASE Bij_real = REAL(B, i * ldb + j);

            const BASE Bij_imag = IMAG(B, i * ldb + j);

            temp_real += Ajj_real * Bij_real - Ajj_imag * Bij_imag;

            temp_imag += Ajj_real * Bij_imag + Ajj_imag * Bij_real;

          } else {

            temp_real += REAL(B, i * ldb + j);

            temp_imag += IMAG(B, i * ldb + j);

          }

          REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;

          IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;

        }

      }

    } else if (side == CblasRight && uplo == CblasUpper && trans == CblasTrans) {

      /* form  B := alpha * B * (TriU(A))' */

      for (i = 0; i < n1; i++) {

        for (j = 0; j < n2; j++) {

          BASE temp_real = 0.0;

          BASE temp_imag = 0.0;

          if (nonunit) {

            const BASE Ajj_real = CONST_REAL(A, j * lda + j);

            const BASE Ajj_imag = conj * CONST_IMAG(A, j * lda + j);

            const BASE Bij_real = REAL(B, i * ldb + j);

            const BASE Bij_imag = IMAG(B, i * ldb + j);

            temp_real = Ajj_real * Bij_real - Ajj_imag * Bij_imag;

            temp_imag = Ajj_real * Bij_imag + Ajj_imag * Bij_real;

          } else {

            temp_real = REAL(B, i * ldb + j);

            temp_imag = IMAG(B, i * ldb + j);

          }

          for (k = j + 1; k < n2; k++) {

            const BASE Ajk_real = CONST_REAL(A, j * lda + k);

            const BASE Ajk_imag = conj * CONST_IMAG(A, j * lda + k);

            const BASE Bik_real = REAL(B, i * ldb + k);

            const BASE Bik_imag = IMAG(B, i * ldb + k);

            temp_real += Ajk_real * Bik_real - Ajk_imag * Bik_imag;

            temp_imag += Ajk_real * Bik_imag + Ajk_imag * Bik_real;

          }

          REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;

          IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;

        }

      }

    } else if (side == CblasRight && uplo == CblasLower && trans == CblasNoTrans) {

      /* form  B := alpha *B * TriL(A) */

      for (i = 0; i < n1; i++) {

        for (j = 0; j < n2; j++) {

          BASE temp_real = 0.0;

          BASE temp_imag = 0.0;

          if (nonunit) {

            const BASE Ajj_real = CONST_REAL(A, j * lda + j);

            const BASE Ajj_imag = conj * CONST_IMAG(A, j * lda + j);

            const BASE Bij_real = REAL(B, i * ldb + j);

            const BASE Bij_imag = IMAG(B, i * ldb + j);

            temp_real = Ajj_real * Bij_real - Ajj_imag * Bij_imag;

            temp_imag = Ajj_real * Bij_imag + Ajj_imag * Bij_real;

          } else {

            temp_real = REAL(B, i * ldb + j);

            temp_imag = IMAG(B, i * ldb + j);

          }

          for (k = j + 1; k < n2; k++) {

            const BASE Akj_real = CONST_REAL(A, k * lda + j);

            const BASE Akj_imag = conj * CONST_IMAG(A, k * lda + j);

            const BASE Bik_real = REAL(B, i * ldb + k);

            const BASE Bik_imag = IMAG(B, i * ldb + k);

            temp_real += Akj_real * Bik_real - Akj_imag * Bik_imag;

            temp_imag += Akj_real * Bik_imag + Akj_imag * Bik_real;

          }

          REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;

          IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;

        }

      }

    } else if (side == CblasRight && uplo == CblasLower && trans == CblasTrans) {

      /* form  B := alpha * B * TriL(A)' */

      for (i = 0; i < n1; i++) {

        for (j = n2; j > 0 && j--;) {

          BASE temp_real = 0.0;

          BASE temp_imag = 0.0;

          for (k = 0; k < j; k++) {

            const BASE Ajk_real = CONST_REAL(A, j * lda + k);

            const BASE Ajk_imag = conj * CONST_IMAG(A, j * lda + k);

            const BASE Bik_real = REAL(B, i * ldb + k);

            const BASE Bik_imag = IMAG(B, i * ldb + k);

            temp_real += Ajk_real * Bik_real - Ajk_imag * Bik_imag;

            temp_imag += Ajk_real * Bik_imag + Ajk_imag * Bik_real;

          }

          if (nonunit) {

            const BASE Ajj_real = CONST_REAL(A, j * lda + j);

            const BASE Ajj_imag = conj * CONST_IMAG(A, j * lda + j);

            const BASE Bij_real = REAL(B, i * ldb + j);

            const BASE Bij_imag = IMAG(B, i * ldb + j);

            temp_real += Ajj_real * Bij_real - Ajj_imag * Bij_imag;

            temp_imag += Ajj_real * Bij_imag + Ajj_imag * Bij_real;

          } else {

            temp_real += REAL(B, i * ldb + j);

            temp_imag += IMAG(B, i * ldb + j);

          }

          REAL(B, ldb * i + j) = alpha_real * temp_real - alpha_imag * temp_imag;

          IMAG(B, ldb * i + j) = alpha_real * temp_imag + alpha_imag * temp_real;

        }

      }

    } else {

      BLAS_ERROR("unrecognized operation");

    }

  }

}