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/* @(#)z_sine.c 1.0 98/08/13 */
/******************************************************************
 * The following routines are coded directly from the algorithms
 * and coefficients given in "Software Manual for the Elementary
 * Functions" by William J. Cody, Jr. and William Waite, Prentice
 * Hall, 1980.
 ******************************************************************/
 
/*
FUNCTION
        <<sin>>, <<cos>>, <<sine>>, <<sinf>>, <<cosf>>, <<sinef>>---sine or cosine
INDEX
sin
INDEX
sinf
INDEX
cos
INDEX
cosf
ANSI_SYNOPSIS
        #include <math.h>
        double sin(double <[x]>);
        float  sinf(float <[x]>);
        double cos(double <[x]>);
        float cosf(float <[x]>);
 
TRAD_SYNOPSIS
        #include <math.h>
        double sin(<[x]>)
        double <[x]>;
        float  sinf(<[x]>)
        float <[x]>;
 
        double cos(<[x]>)
        double <[x]>;
        float cosf(<[x]>)
        float <[x]>;
 
DESCRIPTION
        <<sin>> and <<cos>> compute (respectively) the sine and cosine
        of the argument <[x]>.  Angles are specified in radians.
RETURNS
        The sine or cosine of <[x]> is returned.
 
PORTABILITY
        <<sin>> and <<cos>> are ANSI C.
        <<sinf>> and <<cosf>> are extensions.
 
QUICKREF
        sin ansi pure
        sinf - pure
*/
 
/******************************************************************
 * sine
 *
 * Input:
 *   x - floating point value
 *   cosine - indicates cosine value
 *
 * Output:
 *   Sine of x.
 *
 * Description:
 *   This routine calculates sines and cosines.
 *
 *****************************************************************/
 
#include "fdlibm.h"
#include "zmath.h"
 
#ifndef _DOUBLE_IS_32BITS
 
static const double HALF_PI = 1.57079632679489661923;
static const double ONE_OVER_PI = 0.31830988618379067154;
static const double r[] = { -0.16666666666666665052,
                             0.83333333333331650314e-02,
                            -0.19841269841201840457e-03,
                             0.27557319210152756119e-05,
                            -0.25052106798274584544e-07,
                             0.16058936490371589114e-09,
                            -0.76429178068910467734e-12,
                             0.27204790957888846175e-14 };
 
double
_DEFUN (sine, (double, int),
        double x _AND
        int cosine)
{
  int sgn, N;
  double y, XN, g, R, res;
  double YMAX = 210828714.0;
 
  switch (numtest (x))
    {
      case NAN:
        errno = EDOM;
        return (x);
      case INF:
        errno = EDOM;
        return (z_notanum.d);
    }
 
  /* Use sin and cos properties to ease computations. */
  if (cosine)
    {
      sgn = 1;
      y = fabs (x) + HALF_PI;
    }
  else
    {
      if (x < 0.0)
        {
          sgn = -1;
          y = -x;
        }
      else
        {
          sgn = 1;
          y = x;
        }
    }
 
  /* Check for values of y that will overflow here. */
  if (y > YMAX)
    {
      errno = ERANGE;
      return (x);
    }
 
  /* Calculate the exponent. */
  if (y < 0.0)
    N = (int) (y * ONE_OVER_PI - 0.5);
  else
    N = (int) (y * ONE_OVER_PI + 0.5);
  XN = (double) N;
 
  if (N & 1)
    sgn = -sgn;
 
  if (cosine)
    XN -= 0.5;
 
  y = fabs (x) - XN * __PI;
 
  if (-z_rooteps < y && y < z_rooteps)
    res = y;
 
  else
    {
      g = y * y;
 
      /* Calculate the Taylor series. */
      R = (((((((r[6] * g + r[5]) * g + r[4]) * g + r[3]) * g + r[2]) * g + r[1]) * g + r[0]) * g);
 
      /* Finally, compute the result. */
      res = y + y * R;
    }
 
  res *= sgn;
 
  return (res);
}
 
#endif /* _DOUBLE_IS_32BITS */

Line No.	Rev	Author	Line
1	207	jeremybenn
2			`/* @(#)z_sine.c 1.0 98/08/13 */`
3			`/******************************************************************`
4			`* The following routines are coded directly from the algorithms`
5			`* and coefficients given in "Software Manual for the Elementary`
6			`* Functions" by William J. Cody, Jr. and William Waite, Prentice`
7			`* Hall, 1980.`
8			`******************************************************************/`
9
10			`/*`
11			`FUNCTION`
12			`<<sin>>, <<cos>>, <<sine>>, <<sinf>>, <<cosf>>, <<sinef>>---sine or cosine`
13			`INDEX`
14			`sin`
15			`INDEX`
16			`sinf`
17			`INDEX`
18			`cos`
19			`INDEX`
20			`cosf`
21			`ANSI_SYNOPSIS`
22			`#include <math.h>`
23			`double sin(double <[x]>);`
24			`float sinf(float <[x]>);`
25			`double cos(double <[x]>);`
26			`float cosf(float <[x]>);`
27
28			`TRAD_SYNOPSIS`
29			`#include <math.h>`
30			`double sin(<[x]>)`
31			`double <[x]>;`
32			`float sinf(<[x]>)`
33			`float <[x]>;`
34
35			`double cos(<[x]>)`
36			`double <[x]>;`
37			`float cosf(<[x]>)`
38			`float <[x]>;`
39
40			`DESCRIPTION`
41			`<<sin>> and <<cos>> compute (respectively) the sine and cosine`
42			`of the argument <[x]>. Angles are specified in radians.`
43			`RETURNS`
44			`The sine or cosine of <[x]> is returned.`
45
46			`PORTABILITY`
47			`<<sin>> and <<cos>> are ANSI C.`
48			`<<sinf>> and <<cosf>> are extensions.`
49
50			`QUICKREF`
51			`sin ansi pure`
52			`sinf - pure`
53			`*/`
54
55			`/******************************************************************`
56			`* sine`
57			`*`
58			`* Input:`
59			`* x - floating point value`
60			`* cosine - indicates cosine value`
61			`*`
62			`* Output:`
63			`* Sine of x.`
64			`*`
65			`* Description:`
66			`* This routine calculates sines and cosines.`
67			`*`
68			`*****************************************************************/`
69
70			`#include "fdlibm.h"`
71			`#include "zmath.h"`
72
73			`#ifndef _DOUBLE_IS_32BITS`
74
75			`static const double HALF_PI = 1.57079632679489661923;`
76			`static const double ONE_OVER_PI = 0.31830988618379067154;`
77			`static const double r[] = { -0.16666666666666665052,`
78			`0.83333333333331650314e-02,`
79			`-0.19841269841201840457e-03,`
80			`0.27557319210152756119e-05,`
81			`-0.25052106798274584544e-07,`
82			`0.16058936490371589114e-09,`
83			`-0.76429178068910467734e-12,`
84			`0.27204790957888846175e-14 };`
85
86			`double`
87			`_DEFUN (sine, (double, int),`
88			`double x _AND`
89			`int cosine)`
90			`{`
91			`int sgn, N;`
92			`double y, XN, g, R, res;`
93			`double YMAX = 210828714.0;`
94
95			`switch (numtest (x))`
96			`{`
97			`case NAN:`
98			`errno = EDOM;`
99			`return (x);`
100			`case INF:`
101			`errno = EDOM;`
102			`return (z_notanum.d);`
103			`}`
104
105			`/* Use sin and cos properties to ease computations. */`
106			`if (cosine)`
107			`{`
108			`sgn = 1;`
109			`y = fabs (x) + HALF_PI;`
110			`}`
111			`else`
112			`{`
113			`if (x < 0.0)`
114			`{`
115			`sgn = -1;`
116			`y = -x;`
117			`}`
118			`else`
119			`{`
120			`sgn = 1;`
121			`y = x;`
122			`}`
123			`}`
124
125			`/* Check for values of y that will overflow here. */`
126			`if (y > YMAX)`
127			`{`
128			`errno = ERANGE;`
129			`return (x);`
130			`}`
131
132			`/* Calculate the exponent. */`
133			`if (y < 0.0)`
134			`N = (int) (y * ONE_OVER_PI - 0.5);`
135			`else`
136			`N = (int) (y * ONE_OVER_PI + 0.5);`
137			`XN = (double) N;`
138
139			`if (N & 1)`
140			`sgn = -sgn;`
141
142			`if (cosine)`
143			`XN -= 0.5;`
144
145			`y = fabs (x) - XN * __PI;`
146
147			`if (-z_rooteps < y && y < z_rooteps)`
148			`res = y;`
149
150			`else`
151			`{`
152			`g = y * y;`
153
154			`/* Calculate the Taylor series. */`
155			`R = (((((((r[6] * g + r[5]) * g + r[4]) * g + r[3]) * g + r[2]) * g + r[1]) * g + r[0]) * g);`
156
157			`/* Finally, compute the result. */`
158			`res = y + y * R;`
159			`}`
160
161			`res *= sgn;`
162
163			`return (res);`
164			`}`
165
166			`#endif /* _DOUBLE_IS_32BITS */`

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[/] [openrisc/] [tags/] [gnu-src/] [newlib-1.18.0/] [newlib-1.18.0-or32-1.0rc1/] [newlib/] [libm/] [mathfp/] [s_sine.c] - Blame information for rev 345