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/* Return arc hyperbole cosine for float value.
   Copyright (C) 1997 Free Software Foundation, Inc.
   This file is part of the GNU C Library.
   Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
 
   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.
 
   The GNU C Library 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
   Lesser General Public License for more details.
 
   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, write to the Free
   Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
   02111-1307 USA.  */
 
#include <complex.h>
#include <math.h>
#include "math_private.h"
 
__complex__ float
__cacoshf (__complex__ float x)
{
  __complex__ float res;
  int rcls = fpclassify (__real__ x);
  int icls = fpclassify (__imag__ x);
 
  if (rcls <= FP_INFINITE || icls <= FP_INFINITE)
    {
      if (icls == FP_INFINITE)
        {
          __real__ res = HUGE_VALF;
 
          if (rcls == FP_NAN)
            __imag__ res = __nanf ("");
          else
            __imag__ res = __copysignf ((rcls == FP_INFINITE
                                         ? (__real__ x < 0.0
                                            ? M_PI - M_PI_4 : M_PI_4)
                                         : M_PI_2), __imag__ x);
        }
      else if (rcls == FP_INFINITE)
        {
          __real__ res = HUGE_VALF;
 
          if (icls >= FP_ZERO)
            __imag__ res = __copysignf (signbit (__real__ x) ? M_PI : 0.0,
                                        __imag__ x);
          else
            __imag__ res = __nanf ("");
        }
      else
        {
          __real__ res = __nanf ("");
          __imag__ res = __nanf ("");
        }
    }
  else if (rcls == FP_ZERO && icls == FP_ZERO)
    {
      __real__ res = 0.0;
      __imag__ res = __copysignf (M_PI_2, __imag__ x);
    }
  else
    {
#if 1
      __complex__ float y;
 
      __real__ y = (__real__ x - __imag__ x) * (__real__ x + __imag__ x) - 1.0;
      __imag__ y = 2.0 * __real__ x * __imag__ x;
 
      y = __csqrtf (y);
 
      __real__ y += __real__ x;
      __imag__ y += __imag__ x;
 
      res = __clogf (y);
#else
      float re2 = __real__ x * __real__ x;
      float im2 = __imag__ x * __imag__ x;
      float sq = re2 - im2 - 1.0;
      float ro = __ieee754_sqrtf (sq * sq + 4 * re2 * im2);
      float a = __ieee754_sqrtf ((sq + ro) / 2.0);
      float b = __ieee754_sqrtf ((-sq + ro) / 2.0);
 
      __real__ res = 0.5 * __ieee754_logf (re2 + __real__ x * 2 * a
                                           + im2 + __imag__ x * 2 * b
                                           + ro);
      __imag__ res = __ieee754_atan2f (__imag__ x + b, __real__ x + a);
#endif
    }
 
  return res;
}
weak_alias (__cacoshf, cacoshf)

Line No.	Rev	Author	Line
1	207	jeremybenn	`/* Return arc hyperbole cosine for float value.`
2			`Copyright (C) 1997 Free Software Foundation, Inc.`
3			`This file is part of the GNU C Library.`
4			`Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.`
5
6			`The GNU C Library is free software; you can redistribute it and/or`
7			`modify it under the terms of the GNU Lesser General Public`
8			`License as published by the Free Software Foundation; either`
9			`version 2.1 of the License, or (at your option) any later version.`
10
11			`The GNU C Library is distributed in the hope that it will be useful,`
12			`but WITHOUT ANY WARRANTY; without even the implied warranty of`
13			`MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU`
14			`Lesser General Public License for more details.`
15
16			`You should have received a copy of the GNU Lesser General Public`
17			`License along with the GNU C Library; if not, write to the Free`
18			`Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA`
19			`02111-1307 USA. */`
20
21			`#include <complex.h>`
22			`#include <math.h>`
23			`#include "math_private.h"`
24
25			`__complex__ float`
26			`__cacoshf (__complex__ float x)`
27			`{`
28			`__complex__ float res;`
29			`int rcls = fpclassify (__real__ x);`
30			`int icls = fpclassify (__imag__ x);`
31
32			`if (rcls <= FP_INFINITE \|\| icls <= FP_INFINITE)`
33			`{`
34			`if (icls == FP_INFINITE)`
35			`{`
36			`__real__ res = HUGE_VALF;`
37
38			`if (rcls == FP_NAN)`
39			`__imag__ res = __nanf ("");`
40			`else`
41			`__imag__ res = __copysignf ((rcls == FP_INFINITE`
42			`? (__real__ x < 0.0`
43			`? M_PI - M_PI_4 : M_PI_4)`
44			`: M_PI_2), __imag__ x);`
45			`}`
46			`else if (rcls == FP_INFINITE)`
47			`{`
48			`__real__ res = HUGE_VALF;`
49
50			`if (icls >= FP_ZERO)`
51			`__imag__ res = __copysignf (signbit (__real__ x) ? M_PI : 0.0,`
52			`__imag__ x);`
53			`else`
54			`__imag__ res = __nanf ("");`
55			`}`
56			`else`
57			`{`
58			`__real__ res = __nanf ("");`
59			`__imag__ res = __nanf ("");`
60			`}`
61			`}`
62			`else if (rcls == FP_ZERO && icls == FP_ZERO)`
63			`{`
64			`__real__ res = 0.0;`
65			`__imag__ res = __copysignf (M_PI_2, __imag__ x);`
66			`}`
67			`else`
68			`{`
69			`#if 1`
70			`__complex__ float y;`
71
72			`__real__ y = (__real__ x - __imag__ x) * (__real__ x + __imag__ x) - 1.0;`
73			`__imag__ y = 2.0 * __real__ x * __imag__ x;`
74
75			`y = __csqrtf (y);`
76
77			`__real__ y += __real__ x;`
78			`__imag__ y += __imag__ x;`
79
80			`res = __clogf (y);`
81			`#else`
82			`float re2 = __real__ x * __real__ x;`
83			`float im2 = __imag__ x * __imag__ x;`
84			`float sq = re2 - im2 - 1.0;`
85			`float ro = __ieee754_sqrtf (sq * sq + 4 * re2 * im2);`
86			`float a = __ieee754_sqrtf ((sq + ro) / 2.0);`
87			`float b = __ieee754_sqrtf ((-sq + ro) / 2.0);`
88
89			`__real__ res = 0.5 * __ieee754_logf (re2 + __real__ x * 2 * a`
90			`+ im2 + __imag__ x * 2 * b`
91			`+ ro);`
92			`__imag__ res = __ieee754_atan2f (__imag__ x + b, __real__ x + a);`
93			`#endif`
94			`}`
95
96			`return res;`
97			`}`
98			`weak_alias (__cacoshf, cacoshf)`

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[/] [openrisc/] [trunk/] [gnu-src/] [newlib-1.18.0/] [newlib/] [libc/] [sys/] [linux/] [cmath/] [s_cacoshf.c] - Blame information for rev 258