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]);
}
}
}
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;
}
}
}
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);
}
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;
}
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);
}
}
}
//------------------------------------------------------------------------------
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;
}