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 sinhl = __sinhl
  31 
  32 #include "libm.h"

  33 
  34 /* SINH(X)
  35  * RETURN THE HYPERBOLIC SINE OF X
  36  *
  37  * Method :
  38  *      1. reduce x to non-negative by SINH(-x) = - SINH(x).
  39  *      2. 
  40  *
  41  *                                            EXPM1(x) + EXPM1(x)/(EXPM1(x)+1)
  42  *          0 <= x <= lnovft     : SINH(x) := --------------------------------
  43  *                                                            2
  44  *
  45  *     lnovft <= x <  INF  : SINH(x) := EXP(x-MEP1*ln2)*2**ME
  46  *      
  47  * here
  48  *      lnovft          logarithm of the overflow threshold
  49  *                      = MEP1*ln2 chopped to machine precision.
  50  *      ME              maximum exponent
  51  *      MEP1            maximum exponent plus 1
  52  *

  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 sinhl = __sinhl
  31 
  32 #include "libm.h"
  33 #include "longdouble.h"
  34 
  35 /* SINH(X)
  36  * RETURN THE HYPERBOLIC SINE OF X
  37  *
  38  * Method :
  39  *      1. reduce x to non-negative by SINH(-x) = - SINH(x).
  40  *      2. 
  41  *
  42  *                                            EXPM1(x) + EXPM1(x)/(EXPM1(x)+1)
  43  *          0 <= x <= lnovft     : SINH(x) := --------------------------------
  44  *                                                            2
  45  *
  46  *     lnovft <= x <  INF  : SINH(x) := EXP(x-MEP1*ln2)*2**ME
  47  *      
  48  * here
  49  *      lnovft          logarithm of the overflow threshold
  50  *                      = MEP1*ln2 chopped to machine precision.
  51  *      ME              maximum exponent
  52  *      MEP1            maximum exponent plus 1
  53  *