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+/* blas/source_rotmg.h
+ *
+ * Copyright (C) 1996, 1997, 1998, 1999, 2000 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ */
+
+{
+ const BASE G = 4096.0, G2 = G * G;
+ BASE D1 = *d1, D2 = *d2, x = *b1, y = b2;
+ BASE h11, h12, h21, h22, u;
+
+ BASE c, s;
+
+ /* case of d1 < 0, appendix A, second to last paragraph */
+
+ if (D1 < 0.0) {
+ P[0] = -1;
+ P[1] = 0;
+ P[2] = 0;
+ P[3] = 0;
+ P[4] = 0;
+ *d1 = 0;
+ *d2 = 0;
+ *b1 = 0;
+ return;
+ }
+
+ if (D2 * y == 0.0) {
+ P[0] = -2; /* case of H = I, page 315 */
+ return;
+ }
+
+ c = fabs(D1 * x * x);
+ s = fabs(D2 * y * y);
+
+ if (c > s) {
+ /* case of equation A6 */
+
+ P[0] = 0.0;
+
+ h11 = 1;
+ h12 = (D2 * y) / (D1 * x);
+ h21 = -y / x;
+ h22 = 1;
+
+ u = 1 - h21 * h12;
+
+ if (u <= 0.0) { /* the case u <= 0 is rejected */
+ P[0] = -1;
+ P[1] = 0;
+ P[2] = 0;
+ P[3] = 0;
+ P[4] = 0;
+ *d1 = 0;
+ *d2 = 0;
+ *b1 = 0;
+ return;
+ }
+
+ D1 /= u;
+ D2 /= u;
+ x *= u;
+ } else {
+ /* case of equation A7 */
+
+ if (D2 * y * y < 0.0) {
+ P[0] = -1;
+ P[1] = 0;
+ P[2] = 0;
+ P[3] = 0;
+ P[4] = 0;
+ *d1 = 0;
+ *d2 = 0;
+ *b1 = 0;
+ return;
+ }
+
+ P[0] = 1;
+
+ h11 = (D1 * x) / (D2 * y);
+ h12 = 1;
+ h21 = -1;
+ h22 = x / y;
+
+ u = 1 + h11 * h22;
+
+ D1 /= u;
+ D2 /= u;
+
+ {
+ BASE tmp = D2;
+ D2 = D1;
+ D1 = tmp;
+ }
+
+ x = y * u;
+ }
+
+ /* rescale D1 to range [1/G2,G2] */
+
+ while (D1 <= 1.0 / G2 && D1 != 0.0) {
+ P[0] = -1;
+ D1 *= G2;
+ x /= G;
+ h11 /= G;
+ h12 /= G;
+ }
+
+ while (D1 >= G2) {
+ P[0] = -1;
+ D1 /= G2;
+ x *= G;
+ h11 *= G;
+ h12 *= G;
+ }
+
+ /* rescale D2 to range [1/G2,G2] */
+
+ while (fabs(D2) <= 1.0 / G2 && D2 != 0.0) {
+ P[0] = -1;
+ D2 *= G2;
+ h21 /= G;
+ h22 /= G;
+ }
+
+ while (fabs(D2) >= G2) {
+ P[0] = -1;
+ D2 /= G2;
+ h21 *= G;
+ h22 *= G;
+ }
+
+ *d1 = D1;
+ *d2 = D2;
+ *b1 = x;
+
+ if (P[0] == -1.0) {
+ P[1] = h11;
+ P[2] = h21;
+ P[3] = h12;
+ P[4] = h22;
+ } else if (P[0] == 0.0) {
+ P[2] = h21;
+ P[3] = h12;
+ } else if (P[0] == 1.0) {
+ P[1] = h11;
+ P[4] = h22;
+ }
+}