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5261 libm should stop using synonyms.h
5298 fabs is 0-sized, confuses dis(1) and others
Reviewed by: Josef 'Jeff' Sipek <jeffpc@josefsipek.net>
Approved by: Gordon Ross <gwr@nexenta.com>


  10  * See the License for the specific language governing permissions
  11  * and limitations under the License.
  12  *
  13  * When distributing Covered Code, include this CDDL HEADER in each
  14  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
  15  * If applicable, add the following below this CDDL HEADER, with the
  16  * fields enclosed by brackets "[]" replaced with your own identifying
  17  * information: Portions Copyright [yyyy] [name of copyright owner]
  18  *
  19  * CDDL HEADER END
  20  */
  21 
  22 /*
  23  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
  24  */
  25 /*
  26  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
  27  * Use is subject to license terms.
  28  */
  29 
  30 #pragma weak ctanh = __ctanh
  31 
  32 /* INDENT OFF */
  33 /*
  34  * dcomplex ctanh(dcomplex z);
  35  *
  36  *            tanh x  + i tan y      sinh 2x  +  i sin 2y
  37  * ctanh z = --------------------- = --------------------
  38  *           1 + i tanh(x)tan(y)       cosh 2x + cos 2y
  39  *
  40  * For |x| >= prec/2 (14,28,34,60 for single, double, double extended, quad),
  41  * we use
  42  *
  43  *                         1   2x                              2 sin 2y
  44  *    cosh 2x = sinh 2x = --- e    and hence  ctanh z = 1 + i -----------;
  45  *                         2                                       2x
  46  *                                                                e
  47  *
  48  * otherwise, to avoid cancellation, for |x| < prec/2,
  49  *                              2x     2
  50  *                            (e   - 1)        2       2




  10  * See the License for the specific language governing permissions
  11  * and limitations under the License.
  12  *
  13  * When distributing Covered Code, include this CDDL HEADER in each
  14  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
  15  * If applicable, add the following below this CDDL HEADER, with the
  16  * fields enclosed by brackets "[]" replaced with your own identifying
  17  * information: Portions Copyright [yyyy] [name of copyright owner]
  18  *
  19  * CDDL HEADER END
  20  */
  21 
  22 /*
  23  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
  24  */
  25 /*
  26  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
  27  * Use is subject to license terms.
  28  */
  29 
  30 #pragma weak __ctanh = ctanh
  31 
  32 /* INDENT OFF */
  33 /*
  34  * dcomplex ctanh(dcomplex z);
  35  *
  36  *            tanh x  + i tan y      sinh 2x  +  i sin 2y
  37  * ctanh z = --------------------- = --------------------
  38  *           1 + i tanh(x)tan(y)       cosh 2x + cos 2y
  39  *
  40  * For |x| >= prec/2 (14,28,34,60 for single, double, double extended, quad),
  41  * we use
  42  *
  43  *                         1   2x                              2 sin 2y
  44  *    cosh 2x = sinh 2x = --- e    and hence  ctanh z = 1 + i -----------;
  45  *                         2                                       2x
  46  *                                                                e
  47  *
  48  * otherwise, to avoid cancellation, for |x| < prec/2,
  49  *                              2x     2
  50  *                            (e   - 1)        2       2