1 /*
   2  * CDDL HEADER START
   3  *
   4  * The contents of this file are subject to the terms of the
   5  * Common Development and Distribution License (the "License").
   6  * You may not use this file except in compliance with the License.
   7  *
   8  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
   9  * or http://www.opensolaris.org/os/licensing.
  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 /*
  27  * Copyright 2005 Sun Microsystems, Inc.  All rights reserved.
  28  * Use is subject to license terms.
  29  */
  30 
  31 #pragma weak __ccoshf = ccoshf
  32 
  33 #include "libm.h"
  34 #include "complex_wrapper.h"
  35 
  36 #if defined(__i386) && !defined(__amd64)
  37 extern int __swapRP(int);
  38 #endif
  39 
  40 static const float zero = 0.0F, half = 0.5F;
  41 
  42 fcomplex
  43 ccoshf(fcomplex z)
  44 {
  45         float t, x, y, S, C;
  46         double w;
  47         int hx, ix, hy, iy, n;
  48         fcomplex ans;
  49 
  50         x = F_RE(z);
  51         y = F_IM(z);
  52         hx = THE_WORD(x);
  53         ix = hx & 0x7fffffff;
  54         hy = THE_WORD(y);
  55         iy = hy & 0x7fffffff;
  56         x = fabsf(x);
  57         y = fabsf(y);
  58 
  59         sincosf(y, &S, &C);
  60 
  61         if (ix >= 0x41600000) {              /* |x| > 14 = prec/2 (14,28,34,60) */
  62                 if (ix >= 0x42B171AA) {      /* |x| > 88.722... ~ log(2**128) */
  63                         if (ix >= 0x7f800000) {      /* |x| is inf or NaN */
  64                                 if (iy == 0) {
  65                                         F_RE(ans) = x;
  66                                         F_IM(ans) = y;
  67                                 } else if (iy >= 0x7f800000) {
  68                                         F_RE(ans) = x;
  69                                         F_IM(ans) = x - y;
  70                                 } else {
  71                                         F_RE(ans) = C * x;
  72                                         F_IM(ans) = S * x;
  73                                 }
  74                         } else {
  75 #if defined(__i386) && !defined(__amd64)
  76                                 int rp = __swapRP(fp_extended);
  77 #endif
  78                                 /* return (C, S) * exp(x) / 2 */
  79                                 w = __k_cexp((double)x, &n);
  80                                 F_RE(ans) = (float)scalbn(C * w, n - 1);
  81                                 F_IM(ans) = (float)scalbn(S * w, n - 1);
  82 #if defined(__i386) && !defined(__amd64)
  83                                 if (rp != fp_extended)
  84                                         (void) __swapRP(rp);
  85 #endif
  86                         }
  87                 } else {
  88                         t = expf(x) * half;
  89                         F_RE(ans) = C * t;
  90                         F_IM(ans) = S * t;
  91                 }
  92         } else {
  93                 if (ix == 0) {          /* x = 0, return (C,0) */
  94                         F_RE(ans) = C;
  95                         F_IM(ans) = zero;
  96                 } else {
  97                         F_RE(ans) = C * coshf(x);
  98                         F_IM(ans) = S * sinhf(x);
  99                 }
 100         }
 101 
 102         if ((hx ^ hy) < 0)
 103                 F_IM(ans) = -F_IM(ans);
 104 
 105         return (ans);
 106 }