* Return sine function of x.
*
* kernel function:
- * __kernel_sinl ... sine function on [-pi/4,pi/4]
- * __kernel_cosl ... cose function on [-pi/4,pi/4]
- * __ieee754_rem_pio2l ... argument reduction routine
+ * __kernel_sinl ... sine function on [-pi/4,pi/4]
+ * __kernel_cosl ... cose function on [-pi/4,pi/4]
+ * __ieee754_rem_pio2l ... argument reduction routine
*
* Method.
* Let S,C and T denote the sin, cos and tan respectively on
- * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
- * in [-pi/4 , +pi/4], and let n = k mod 4.
- * We have
+ * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
+ * in [-pi/4 , +pi/4], and let n = k mod 4.
+ * We have
*
* n sin(x) cos(x) tan(x)
* ----------------------------------------------------------
- * 0 S C T
- * 1 C -S -1/T
- * 2 -S -C T
- * 3 -C S -1/T
+ * 0 S C T
+ * 1 C -S -1/T
+ * 2 -S -C T
+ * 3 -C S -1/T
* ----------------------------------------------------------
*
* Special cases:
* trig(NaN) is that NaN;
*
* Accuracy:
- * TRIG(x) returns trig(x) nearly rounded
+ * TRIG(x) returns trig(x) nearly rounded
*/
#include "trigl.h"
-#include "trigl.c"
-#include "sincosl.c"
-#include "isnanl.h"
long double
sinl (long double x)
return x;
/* |x| ~< pi/4 */
- if (x >= -0.7853981633974483096156608458198757210492 &&
- x <= 0.7853981633974483096156608458198757210492)
+ if (x >= -0.7853981633974483096156608458198757210492
+ && x <= 0.7853981633974483096156608458198757210492)
return kernel_sinl (x, z, 0);
/* sinl(Inf) is NaN, sinl(0) is 0 */
else if (x + x == x)
- return x - x; /* NaN */
+ return x - x; /* NaN */
/* argument reduction needed */
else
{
n = ieee754_rem_pio2l (x, y);
switch (n & 3)
- {
- case 0:
- return kernel_sinl (y[0], y[1], 1);
- case 1:
- return kernel_cosl (y[0], y[1]);
- case 2:
- return -kernel_sinl (y[0], y[1], 1);
- default:
- return -kernel_cosl (y[0], y[1]);
- }
+ {
+ case 0:
+ return kernel_sinl (y[0], y[1], 1);
+ case 1:
+ return kernel_cosl (y[0], y[1]);
+ case 2:
+ return -kernel_sinl (y[0], y[1], 1);
+ default:
+ return -kernel_cosl (y[0], y[1]);
+ }
}
}
int
main (void)
{
- printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492));
- printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492 *29));
- printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492 *2));
- printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492 *30));
- printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492 *4));
- printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492 *32));
- printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492 *2/3));
- printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492 *4/3));
+ printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492));
+ printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492 *29));
+ printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492 *2));
+ printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492 *30));
+ printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492 *4));
+ printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492 *32));
+ printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492 *2/3));
+ printf ("%.16Lg\n", sinl (0.7853981633974483096156608458198757210492 *4/3));
}
#endif