Print this page




  90 p6      =  1.605904383643244375050998243778534074273e-0010L,
  91 p7      = -7.647162722800685516901456114270824622699e-0013L,
  92 p8      =  2.810046428661902961725428841068844462603e-0015L,
  93 /*
  94  *                   2           10        -123.84
  95  * |cos(x) - (1+qq1*x +...+ qq5*x  )| <= 2        for |x|<=1/128
  96  */
  97 qq1     = -4.999999999999999999999999999999378373641e-0001L,
  98 qq2     =  4.166666666666666666666665478399327703130e-0002L,
  99 qq3     = -1.388888888888888888058211230618051613494e-0003L,
 100 qq4     =  2.480158730156105377771585658905303111866e-0005L,
 101 qq5     = -2.755728099762526325736488376695157008736e-0007L;
 102 /* INDENT ON */
 103 long double
 104 __k_sinl(long double x, long double y) {
 105         long double a, t, z, w;
 106         int *pt = (int *) &t, *px = (int *) &x;
 107         int i, j, hx, ix;
 108 
 109         t = 1.0L;
 110 #if defined(_BIG_ENDIAN)
 111         hx = px[0];
 112 #else
 113         XTOI(px, hx);


 114 #endif
 115         ix = hx & 0x7fffffff;
 116         if (ix < 0x3ffc9000) {
 117                 if (ix < 0x3fc60000)
 118                         if (((int) x) == 0)
 119                                 return (x);     /* generate inexact */
 120                 z = x * x;
 121                 t = z * (p1 + z * (p2 + z * (p3 + z * (p4 + z * (p5 + z *
 122                         (p6 + z * (p7 + z * p8)))))));
 123                 t = y + x * t;
 124                 return (x + t);
 125         }
 126         j = (ix + 0x400) & 0x7ffff800;
 127         i = (j - 0x3ffc4000) >> 11;
 128 #if defined(_BIG_ENDIAN)
 129         pt[0] = j;
 130 #else
 131         ITOX(j, pt);


 132 #endif
 133         if (hx > 0)
 134                 x = y - (t - x);
 135         else
 136                 x = (-y) - (t + x);
 137         a = _TBL_sinl_hi[i];
 138         z = x * x;
 139         t = z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 + z * qq5))));
 140         w = x * (one + z * (pp1 + z * (pp2 + z * (pp3 + z * (pp4 + z *
 141                 pp5)))));
 142         t = _TBL_cosl_hi[i] * w + a * t;
 143         t += _TBL_sinl_lo[i];
 144         if (hx < 0)
 145                 return (-a - t);
 146         else
 147                 return (a + t);
 148 }


  90 p6      =  1.605904383643244375050998243778534074273e-0010L,
  91 p7      = -7.647162722800685516901456114270824622699e-0013L,
  92 p8      =  2.810046428661902961725428841068844462603e-0015L,
  93 /*
  94  *                   2           10        -123.84
  95  * |cos(x) - (1+qq1*x +...+ qq5*x  )| <= 2        for |x|<=1/128
  96  */
  97 qq1     = -4.999999999999999999999999999999378373641e-0001L,
  98 qq2     =  4.166666666666666666666665478399327703130e-0002L,
  99 qq3     = -1.388888888888888888058211230618051613494e-0003L,
 100 qq4     =  2.480158730156105377771585658905303111866e-0005L,
 101 qq5     = -2.755728099762526325736488376695157008736e-0007L;
 102 /* INDENT ON */
 103 long double
 104 __k_sinl(long double x, long double y) {
 105         long double a, t, z, w;
 106         int *pt = (int *) &t, *px = (int *) &x;
 107         int i, j, hx, ix;
 108 
 109         t = 1.0L;
 110 #if defined(__i386) || defined(__amd64)


 111         XTOI(px, hx);
 112 #else
 113         hx = px[0];
 114 #endif
 115         ix = hx & 0x7fffffff;
 116         if (ix < 0x3ffc9000) {
 117                 if (ix < 0x3fc60000)
 118                         if (((int) x) == 0)
 119                                 return (x);     /* generate inexact */
 120                 z = x * x;
 121                 t = z * (p1 + z * (p2 + z * (p3 + z * (p4 + z * (p5 + z *
 122                         (p6 + z * (p7 + z * p8)))))));
 123                 t = y + x * t;
 124                 return (x + t);
 125         }
 126         j = (ix + 0x400) & 0x7ffff800;
 127         i = (j - 0x3ffc4000) >> 11;
 128 #if defined(__i386) || defined(__amd64)


 129         ITOX(j, pt);
 130 #else
 131         pt[0] = j;
 132 #endif
 133         if (hx > 0)
 134                 x = y - (t - x);
 135         else
 136                 x = (-y) - (t + x);
 137         a = _TBL_sinl_hi[i];
 138         z = x * x;
 139         t = z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 + z * qq5))));
 140         w = x * (one + z * (pp1 + z * (pp2 + z * (pp3 + z * (pp4 + z *
 141                 pp5)))));
 142         t = _TBL_cosl_hi[i] * w + a * t;
 143         t += _TBL_sinl_lo[i];
 144         if (hx < 0)
 145                 return (-a - t);
 146         else
 147                 return (a + t);
 148 }