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diff --git a/gsl-1.9/cblas/source_tpsv_c.h b/gsl-1.9/cblas/source_tpsv_c.h
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+/* blas/source_tpsv_c.h
+ *
+ * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
+ *
+ * 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ */
+
+{
+ const int conj = (TransA == CblasConjTrans) ? -1 : 1;
+ const int Trans = (TransA != CblasConjTrans) ? TransA : CblasTrans;
+ const int nonunit = (Diag == CblasNonUnit);
+ INDEX i, j;
+
+ if (N == 0)
+ return;
+
+ /* form x := inv( A )*x */
+
+ if ((order == CblasRowMajor && Trans == CblasNoTrans && Uplo == CblasUpper)
+ || (order == CblasColMajor && Trans == CblasTrans && Uplo == CblasLower)) {
+
+ INDEX ix = OFFSET(N, incX) + incX * (N - 1);
+
+ if (nonunit) {
+ const BASE a_real = CONST_REAL(Ap, TPUP(N, (N - 1), (N - 1)));
+ const BASE a_imag = conj * CONST_IMAG(Ap, TPUP(N, (N - 1), (N - 1)));
+ const BASE x_real = REAL(X, ix);
+ const BASE x_imag = IMAG(X, ix);
+ const BASE s = xhypot(a_real, a_imag);
+ const BASE b_real = a_real / s;
+ const BASE b_imag = a_imag / s;
+ REAL(X, ix) = (x_real * b_real + x_imag * b_imag) / s;
+ IMAG(X, ix) = (x_imag * b_real - b_imag * x_real) / s;
+ }
+
+ ix -= incX;
+
+ for (i = N - 1; i > 0 && i--;) {
+ BASE tmp_real = REAL(X, ix);
+ BASE tmp_imag = IMAG(X, ix);
+ INDEX jx = ix + incX;
+ for (j = i + 1; j < N; j++) {
+ const BASE Aij_real = CONST_REAL(Ap, TPUP(N, i, j));
+ const BASE Aij_imag = conj * CONST_IMAG(Ap, TPUP(N, i, j));
+ const BASE x_real = REAL(X, jx);
+ const BASE x_imag = IMAG(X, jx);
+ tmp_real -= Aij_real * x_real - Aij_imag * x_imag;
+ tmp_imag -= Aij_real * x_imag + Aij_imag * x_real;
+ jx += incX;
+ }
+
+ if (nonunit) {
+ const BASE a_real = CONST_REAL(Ap, TPUP(N, i, i));
+ const BASE a_imag = conj * CONST_IMAG(Ap, TPUP(N, i, i));
+ const BASE s = xhypot(a_real, a_imag);
+ const BASE b_real = a_real / s;
+ const BASE b_imag = a_imag / s;
+ REAL(X, ix) = (tmp_real * b_real + tmp_imag * b_imag) / s;
+ IMAG(X, ix) = (tmp_imag * b_real - tmp_real * b_imag) / s;
+ } else {
+ REAL(X, ix) = tmp_real;
+ IMAG(X, ix) = tmp_imag;
+ }
+ ix -= incX;
+ }
+
+ } else if ((order == CblasRowMajor && Trans == CblasNoTrans && Uplo == CblasLower)
+ || (order == CblasColMajor && Trans == CblasTrans && Uplo == CblasUpper)) {
+ /* forward substitution */
+
+ INDEX ix = OFFSET(N, incX);
+
+ if (nonunit) {
+ const BASE a_real = CONST_REAL(Ap, TPLO(N, 0, 0));
+ const BASE a_imag = conj * CONST_IMAG(Ap, TPLO(N, 0, 0));
+ const BASE x_real = REAL(X, ix);
+ const BASE x_imag = IMAG(X, ix);
+ const BASE s = xhypot(a_real, a_imag);
+ const BASE b_real = a_real / s;
+ const BASE b_imag = a_imag / s;
+ REAL(X, ix) = (x_real * b_real + x_imag * b_imag) / s;
+ IMAG(X, ix) = (x_imag * b_real - b_imag * x_real) / s;
+ }
+
+ ix += incX;
+
+ for (i = 1; i < N; i++) {
+ BASE tmp_real = REAL(X, ix);
+ BASE tmp_imag = IMAG(X, ix);
+ INDEX jx = OFFSET(N, incX);
+ for (j = 0; j < i; j++) {
+ const BASE Aij_real = CONST_REAL(Ap, TPLO(N, i, j));
+ const BASE Aij_imag = conj * CONST_IMAG(Ap, TPLO(N, i, j));
+ const BASE x_real = REAL(X, jx);
+ const BASE x_imag = IMAG(X, jx);
+ tmp_real -= Aij_real * x_real - Aij_imag * x_imag;
+ tmp_imag -= Aij_real * x_imag + Aij_imag * x_real;
+ jx += incX;
+ }
+ if (nonunit) {
+ const BASE a_real = CONST_REAL(Ap, TPLO(N, i, i));
+ const BASE a_imag = conj * CONST_IMAG(Ap, TPLO(N, i, i));
+ const BASE s = xhypot(a_real, a_imag);
+ const BASE b_real = a_real / s;
+ const BASE b_imag = a_imag / s;
+ REAL(X, ix) = (tmp_real * b_real + tmp_imag * b_imag) / s;
+ IMAG(X, ix) = (tmp_imag * b_real - tmp_real * b_imag) / s;
+ } else {
+ REAL(X, ix) = tmp_real;
+ IMAG(X, ix) = tmp_imag;
+ }
+ ix += incX;
+ }
+ } else if ((order == CblasRowMajor && Trans == CblasTrans && Uplo == CblasUpper)
+ || (order == CblasColMajor && Trans == CblasNoTrans && Uplo == CblasLower)) {
+ /* form x := inv( A' )*x */
+
+ /* forward substitution */
+
+ INDEX ix = OFFSET(N, incX);
+
+ if (nonunit) {
+ const BASE a_real = CONST_REAL(Ap, TPUP(N, 0, 0));
+ const BASE a_imag = conj * CONST_IMAG(Ap, TPUP(N, 0, 0));
+ const BASE x_real = REAL(X, ix);
+ const BASE x_imag = IMAG(X, ix);
+ const BASE s = xhypot(a_real, a_imag);
+ const BASE b_real = a_real / s;
+ const BASE b_imag = a_imag / s;
+ REAL(X, ix) = (x_real * b_real + x_imag * b_imag) / s;
+ IMAG(X, ix) = (x_imag * b_real - b_imag * x_real) / s;
+ }
+
+ ix += incX;
+
+ for (i = 1; i < N; i++) {
+ BASE tmp_real = REAL(X, ix);
+ BASE tmp_imag = IMAG(X, ix);
+ INDEX jx = OFFSET(N, incX);
+ for (j = 0; j < i; j++) {
+ const BASE Aij_real = CONST_REAL(Ap, TPUP(N, j, i));
+ const BASE Aij_imag = conj * CONST_IMAG(Ap, TPUP(N, j, i));
+ const BASE x_real = REAL(X, jx);
+ const BASE x_imag = IMAG(X, jx);
+ tmp_real -= Aij_real * x_real - Aij_imag * x_imag;
+ tmp_imag -= Aij_real * x_imag + Aij_imag * x_real;
+ jx += incX;
+ }
+ if (nonunit) {
+ const BASE a_real = CONST_REAL(Ap, TPUP(N, i, i));
+ const BASE a_imag = conj * CONST_IMAG(Ap, TPUP(N, i, i));
+ const BASE s = xhypot(a_real, a_imag);
+ const BASE b_real = a_real / s;
+ const BASE b_imag = a_imag / s;
+ REAL(X, ix) = (tmp_real * b_real + tmp_imag * b_imag) / s;
+ IMAG(X, ix) = (tmp_imag * b_real - tmp_real * b_imag) / s;
+ } else {
+ REAL(X, ix) = tmp_real;
+ IMAG(X, ix) = tmp_imag;
+ }
+ ix += incX;
+ }
+ } else if ((order == CblasRowMajor && Trans == CblasTrans && Uplo == CblasLower)
+ || (order == CblasColMajor && Trans == CblasNoTrans && Uplo == CblasUpper)) {
+
+ /* backsubstitution */
+
+ INDEX ix = OFFSET(N, incX) + incX * (N - 1);
+
+ if (nonunit) {
+ const BASE a_real = CONST_REAL(Ap, TPLO(N, (N - 1), (N - 1)));
+ const BASE a_imag = conj * CONST_IMAG(Ap, TPLO(N, (N - 1), (N - 1)));
+ const BASE x_real = REAL(X, ix);
+ const BASE x_imag = IMAG(X, ix);
+ const BASE s = xhypot(a_real, a_imag);
+ const BASE b_real = a_real / s;
+ const BASE b_imag = a_imag / s;
+ REAL(X, ix) = (x_real * b_real + x_imag * b_imag) / s;
+ IMAG(X, ix) = (x_imag * b_real - b_imag * x_real) / s;
+ }
+
+ ix -= incX;
+
+ for (i = N - 1; i > 0 && i--;) {
+ BASE tmp_real = REAL(X, ix);
+ BASE tmp_imag = IMAG(X, ix);
+ INDEX jx = ix + incX;
+ for (j = i + 1; j < N; j++) {
+ const BASE Aij_real = CONST_REAL(Ap, TPLO(N, j, i));
+ const BASE Aij_imag = conj * CONST_IMAG(Ap, TPLO(N, j, i));
+ const BASE x_real = REAL(X, jx);
+ const BASE x_imag = IMAG(X, jx);
+ tmp_real -= Aij_real * x_real - Aij_imag * x_imag;
+ tmp_imag -= Aij_real * x_imag + Aij_imag * x_real;
+ jx += incX;
+ }
+
+ if (nonunit) {
+ const BASE a_real = CONST_REAL(Ap, TPLO(N, i, i));
+ const BASE a_imag = conj * CONST_IMAG(Ap, TPLO(N, i, i));
+ const BASE s = xhypot(a_real, a_imag);
+ const BASE b_real = a_real / s;
+ const BASE b_imag = a_imag / s;
+ REAL(X, ix) = (tmp_real * b_real + tmp_imag * b_imag) / s;
+ IMAG(X, ix) = (tmp_imag * b_real - tmp_real * b_imag) / s;
+ } else {
+ REAL(X, ix) = tmp_real;
+ IMAG(X, ix) = tmp_imag;
+ }
+ ix -= incX;
+ }
+ } else {
+ BLAS_ERROR("unrecognized operation");
+ }
+}
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