Пример #1
0
float
sinf(float x)
{
	float y[2],z=0.0;
	int32_t n, ix;

	GET_FLOAT_WORD(ix,x);

    /* |x| ~< pi/4 */
	ix &= 0x7fffffff;
	if(ix <= 0x3f490fd8) return __kernel_sinf(x,z,0);

    /* sin(Inf or NaN) is NaN */
	else if (ix>=0x7f800000) return x-x;

    /* argument reduction needed */
	else {
	    n = __ieee754_rem_pio2f(x,y);
	    switch(n&3) {
		case 0: return  __kernel_sinf(y[0],y[1],1);
		case 1: return  __kernel_cosf(y[0],y[1]);
		case 2: return -__kernel_sinf(y[0],y[1],1);
		default:
			return -__kernel_cosf(y[0],y[1]);
	    }
	}
}
Пример #2
0
void
SINCOSF_FUNC (float x, float *sinx, float *cosx)
{
  int32_t ix;

  /* High word of x. */
  GET_FLOAT_WORD (ix, x);

  /* |x| ~< pi/4 */
  ix &= 0x7fffffff;
  if (ix <= 0x3f490fd8)
    {
      *sinx = __kernel_sinf (x, 0.0, 0);
      *cosx = __kernel_cosf (x, 0.0);
    }
  else if (ix>=0x7f800000)
    {
      /* sin(Inf or NaN) is NaN */
      *sinx = *cosx = x - x;
      if (ix == 0x7f800000)
	__set_errno (EDOM);
    }
  else
    {
      /* Argument reduction needed.  */
      float y[2];
      int n;

      n = __ieee754_rem_pio2f (x, y);
      switch (n & 3)
	{
	case 0:
	  *sinx = __kernel_sinf (y[0], y[1], 1);
	  *cosx = __kernel_cosf (y[0], y[1]);
	  break;
	case 1:
	  *sinx = __kernel_cosf (y[0], y[1]);
	  *cosx = -__kernel_sinf (y[0], y[1], 1);
	  break;
	case 2:
	  *sinx = -__kernel_sinf (y[0], y[1], 1);
	  *cosx = -__kernel_cosf (y[0], y[1]);
	  break;
	default:
	  *sinx = -__kernel_cosf (y[0], y[1]);
	  *cosx = __kernel_sinf (y[0], y[1], 1);
	  break;
	}
    }
}
Пример #3
0
static float
sin_pif (float x)
{
  float y = 0;
  float z = 0;
  __int32_t n = 0;
  __int32_t ix = 0;
  do
    {
      ieee_float_shape_type gf_u = { 0 };
      (ix) = gf_u.word;
    }
  while (0);
  if (z == y)
    {
      if (ix < 0x4b800000)
	{
	  if (ix < 0x4b000000)
	    z = y + two23;
	  do
	    {
	      ieee_float_shape_type gf_u;
	      gf_u.value = (z);
	      (n) = gf_u.word;
	    }
	  while (0);
	}
    }
  if (n == 0)
    y = __kernel_sinf (pi * y, zero, 0);
}
Пример #4
0
static float
sin_pif(float x)
{
	float y,z;
	int n,ix;

	GET_FLOAT_WORD(ix,x);
	ix &= 0x7fffffff;

	if(ix<0x3e800000) return __kernel_sinf(pi*x,zero,0);
	y = -x;		/* x is assume negative */

    /*
     * argument reduction, make sure inexact flag not raised if input
     * is an integer
     */
	z = __floorf(y);
	if(z!=y) {				/* inexact anyway */
	    y  *= (float)0.5;
	    y   = (float)2.0*(y - __floorf(y));	/* y = |x| mod 2.0 */
	    n   = (int) (y*(float)4.0);
	} else {
	    if(ix>=0x4b800000) {
		y = zero; n = 0;                 /* y must be even */
	    } else {
		if(ix<0x4b000000) z = y+two23;	/* exact */
		GET_FLOAT_WORD(n,z);
		n &= 1;
		y  = n;
		n<<= 2;
	    }
	}
	switch (n) {
	    case 0:   y =  __kernel_sinf(pi*y,zero,0); break;
	    case 1:
	    case 2:   y =  __kernel_cosf(pi*((float)0.5-y),zero); break;
	    case 3:
	    case 4:   y =  __kernel_sinf(pi*(one-y),zero,0); break;
	    case 5:
	    case 6:   y = -__kernel_cosf(pi*(y-(float)1.5),zero); break;
	    default:  y =  __kernel_sinf(pi*(y-(float)2.0),zero,0); break;
	    }
	return -y;
}
Пример #5
0
Файл: s_cosf.c Проект: dreal/tai
float
__cosf (float x)
{
  float y[2], z = 0.0;
  float ix;
  int32_t n;

  ix = __builtin_fabsf (x);

  /* |x| ~< pi/4 */
  if (ix <= pio4)
    {
      return __kernel_cosf (x, z);
      /* cos(Inf or NaN) is NaN */
    }
  else if (isnanf (ix))
    {
      return x - x;
    }
  else if (isinff (ix))
    {
      __set_errno (EDOM);
      return x - x;
    }

  /* argument reduction needed */
  else
    {
      n = __ieee754_rem_pio2f (x, y);
      switch (n & 3)
	{
	case 0:
	  return __kernel_cosf (y[0], y[1]);
	case 1:
	  return -__kernel_sinf (y[0], y[1], 1);
	case 2:
	  return -__kernel_cosf (y[0], y[1]);
	default:
	  return __kernel_sinf (y[0], y[1], 1);
	}
    }
}
Пример #6
0
    //------------------------------------------------------------------------------
    float Cmath::sin_pif( float x )
    {
        static const float two23 =8.3886080000e+06; // 0x4b000000
        static const float half = 5.0000000000e-01; // 0x3f000000
        static const float one =  1.0000000000e+00; // 0x3f800000
        static const float pi  =  3.1415927410e+00; // 0x40490fdb
        static const float a0  =  7.7215664089e-02; // 0x3d9e233f
        static const float a1  =  3.2246702909e-01; // 0x3ea51a66
        static const float a2  =  6.7352302372e-02; // 0x3d89f001
        static const float a3  =  2.0580807701e-02; // 0x3ca89915
        static const float a4  =  7.3855509982e-03; // 0x3bf2027e
        static const float a5  =  2.8905137442e-03; // 0x3b3d6ec6
        static const float a6  =  1.1927076848e-03; // 0x3a9c54a1
        static const float a7  =  5.1006977446e-04; // 0x3a05b634
        static const float a8  =  2.2086278477e-04; // 0x39679767
        static const float a9  =  1.0801156895e-04; // 0x38e28445
        static const float a10 =  2.5214456400e-05; // 0x37d383a2
        static const float a11 =  4.4864096708e-05; // 0x383c2c75
        static const float tc  =  1.4616321325e+00; // 0x3fbb16c3
        static const float tf  = -1.2148628384e-01; // 0xbdf8cdcd
        // tt = -(tail of tf)
        static const float tt  =  6.6971006518e-09; // 0x31e61c52
        static const float t0  =  4.8383611441e-01; // 0x3ef7b95e
        static const float t1  = -1.4758771658e-01; // 0xbe17213c
        static const float t2  =  6.4624942839e-02; // 0x3d845a15
        static const float t3  = -3.2788541168e-02; // 0xbd064d47
        static const float t4  =  1.7970675603e-02; // 0x3c93373d
        static const float t5  = -1.0314224288e-02; // 0xbc28fcfe
        static const float t6  =  6.1005386524e-03; // 0x3bc7e707
        static const float t7  = -3.6845202558e-03; // 0xbb7177fe
        static const float t8  =  2.2596477065e-03; // 0x3b141699
        static const float t9  = -1.4034647029e-03; // 0xbab7f476
        static const float t10 =  8.8108185446e-04; // 0x3a66f867
        static const float t11 = -5.3859531181e-04; // 0xba0d3085
        static const float t12 =  3.1563205994e-04; // 0x39a57b6b
        static const float t13 = -3.1275415677e-04; // 0xb9a3f927
        static const float t14 =  3.3552918467e-04; // 0x39afe9f7
        static const float u0  = -7.7215664089e-02; // 0xbd9e233f
        static const float u1  =  6.3282704353e-01; // 0x3f2200f4
        static const float u2  =  1.4549225569e+00; // 0x3fba3ae7
        static const float u3  =  9.7771751881e-01; // 0x3f7a4bb2
        static const float u4  =  2.2896373272e-01; // 0x3e6a7578
        static const float u5  =  1.3381091878e-02; // 0x3c5b3c5e
        static const float v1  =  2.4559779167e+00; // 0x401d2ebe
        static const float v2  =  2.1284897327e+00; // 0x4008392d
        static const float v3  =  7.6928514242e-01; // 0x3f44efdf
        static const float v4  =  1.0422264785e-01; // 0x3dd572af
        static const float v5  =  3.2170924824e-03; // 0x3b52d5db
        static const float s0  = -7.7215664089e-02; // 0xbd9e233f
        static const float s1  =  2.1498242021e-01; // 0x3e5c245a
        static const float s2  =  3.2577878237e-01; // 0x3ea6cc7a
        static const float s3  =  1.4635047317e-01; // 0x3e15dce6
        static const float s4  =  2.6642270386e-02; // 0x3cda40e4
        static const float s5  =  1.8402845599e-03; // 0x3af135b4
        static const float s6  =  3.1947532989e-05; // 0x3805ff67
        static const float r1  =  1.3920053244e+00; // 0x3fb22d3b
        static const float r2  =  7.2193557024e-01; // 0x3f38d0c5
        static const float r3  =  1.7193385959e-01; // 0x3e300f6e
        static const float r4  =  1.8645919859e-02; // 0x3c98bf54
        static const float r5  =  7.7794247773e-04; // 0x3a4beed6
        static const float r6  =  7.3266842264e-06; // 0x36f5d7bd
        static const float w0  =  4.1893854737e-01; // 0x3ed67f1d
        static const float w1  =  8.3333335817e-02; // 0x3daaaaab
        static const float w2  = -2.7777778450e-03; // 0xbb360b61
        static const float w3  =  7.9365057172e-04; // 0x3a500cfd
        static const float w4  = -5.9518753551e-04; // 0xba1c065c
        static const float w5  =  8.3633989561e-04; // 0x3a5b3dd2
        static const float w6  = -1.6309292987e-03; // 0xbad5c4e8
        static const float zero=  0.0000000000e+00;

        float y,z;
        Cmp_signed__int32 n,ix;

        get_float_word( ix, x );
        ix &= 0x7fffffff;

        if( ix < 0x3e800000 )
        {
            return __kernel_sinf( pi * x, zero, 0 );
        }
        y = -x;		// x is assume negative

        //argument reduction, make sure inexact flag not raised if input is an integer

        z = floorf( y );
        if( z != y )
        {
            // inexact anyway
            y *= (float)0.5;
            y = (float)2.0 * ( y - floorf( y ) ); // y = |x| mod 2.0
            n = (Cmp_signed__int32)( y * (float)4.0 );
        }
        else
        {
            if( ix >= 0x4b800000 )
            {
                y = zero;
                n = 0; // y must be even
            }
            else
            {
                if( ix < 0x4b000000 )
                {
                    z = y + two23; // exact
                }
                get_float_word( n, z );
                n &= 1;
                y = n;
                n <<= 2;
            }
        }

        switch( n )
        {
        case 0:   y = __kernel_sinf( pi * y, zero, 0 );
            break;
        case 1:
        case 2:   y = __kernel_cosf( pi * ( (float)0.5 - y ), zero );
            break;
        case 3:
        case 4:   y = __kernel_sinf( pi * ( one - y ), zero, 0 );
            break;
        case 5:
        case 6:   y = -__kernel_cosf( pi * ( y - (float)1.5 ), zero );
            break;
        default:  y = __kernel_sinf( pi * ( y - (float)2.0 ), zero, 0 );
            break;
        }
        return -y;
    }