double
sin(double x)
{
double y[2],z=0.0;
int32_t n, ix;
/* High word of x. */
GET_HIGH_WORD(ix,x);
/* |x| ~< pi/4 */
ix &= 0x7fffffff;
if(ix <= 0x3fe921fb) return __kernel_sin(x,z,0);
/* sin(Inf or NaN) is NaN */
else if (ix>=0x7ff00000) return x-x;
/* argument reduction needed */
else {
n = __libm_rem_pio2(x,y);
switch(n&3) {
case 0: return __kernel_sin(y[0],y[1],1);
case 1: return __kernel_cos(y[0],y[1]);
case 2: return -__kernel_sin(y[0],y[1],1);
default:
return -__kernel_cos(y[0],y[1]);
}
}
}
double
sin(double x)
{
double y[2],z=0.0;
int32_t n, ix;
/* High word of x. */
GET_HIGH_WORD(ix,x);
/* |x| ~< pi/4 */
ix &= 0x7fffffff;
if(ix <= 0x3fe921fb) {
if(ix<0x3e500000) /* |x| < 2**-26 */
{if((int)x==0) return x;} /* generate inexact */
return __kernel_sin(x,z,0);
}
/* sin(Inf or NaN) is NaN */
else if (ix>=0x7ff00000) return x-x;
/* argument reduction needed */
else {
n = __ieee754_rem_pio2(x,y);
switch(n&3) {
case 0: return __kernel_sin(y[0],y[1],1);
case 1: return __kernel_cos(y[0],y[1]);
case 2: return -__kernel_sin(y[0],y[1],1);
default:
return -__kernel_cos(y[0],y[1]);
}
}
}
double sin(double x)
{
double y[2], z = 0.0;
s32_t n, ix;
GET_HIGH_WORD(ix,x);
ix &= 0x7fffffff;
if (ix <= 0x3fe921fb)
{
if (ix < 0x3e400000)
{
if ((int) x == 0)
return x;
}
return __kernel_sin(x, z, 0);
}
else if (ix >= 0x7ff00000)
return x - x;
else
{
n = __ieee754_rem_pio2(x, y);
switch (n & 3)
{
case 0:
return __kernel_sin(y[0], y[1], 1);
case 1:
return __kernel_cos(y[0], y[1]);
case 2:
return -__kernel_sin(y[0], y[1], 1);
default:
return -__kernel_cos(y[0], y[1]);
}
}
}
double JFP_lib_sin(double x) {
double y[2];
int n, ix;
/* High word of x. */
ix = __HI(x);
/* |x| ~< pi/4 */
ix &= 0x7fffffff;
if(ix <= 0x3fe921fb) return __kernel_sin(x,0,0);
/* sin(Inf or NaN) is NaN */
else if (ix>=0x7ff00000) return x-x;
/* argument reduction needed */
else {
n = __ieee754_rem_pio2(x,y);
switch(n&3) {
case 0: return __kernel_sin(y[0],y[1],1);
case 1: return __kernel_cos(y[0],y[1]);
case 2: return -__kernel_sin(y[0],y[1],1);
default:
return -__kernel_cos(y[0],y[1]);
}
}
}
static
#ifdef __GNUC__
__inline__
#endif
double sin_pi(double x)
{
double y,z;
int n,ix;
GET_HIGH_WORD(ix,x);
ix &= 0x7fffffff;
if(ix<0x3fd00000) return __kernel_sin(pi*x,zero,0);
y = -x; /* x is assume negative */
/*
* argument reduction, make sure inexact flag not raised if input
* is an integer
*/
z = floor(y);
if(z!=y) { /* inexact anyway */
y *= 0.5;
y = 2.0*(y - floor(y)); /* y = |x| mod 2.0 */
n = (int) (y*4.0);
} else {
if(ix>=0x43400000) {
y = zero; n = 0; /* y must be even */
} else {
if(ix<0x43300000) z = y+two52; /* exact */
GET_LOW_WORD(n,z);
n &= 1;
y = n;
n<<= 2;
}
}
switch (n) {
case 0: y = __kernel_sin(pi*y,zero,0); break;
case 1:
case 2: y = __kernel_cos(pi*(0.5-y),zero); break;
case 3:
case 4: y = __kernel_sin(pi*(one-y),zero,0); break;
case 5:
case 6: y = -__kernel_cos(pi*(y-1.5),zero); break;
default: y = __kernel_sin(pi*(y-2.0),zero,0); break;
}
return -y;
}
EXPORT_C double cos(double x)
{
double y[2],z=0.0;
int32_t n, ix;
/* High word of x. */
GET_HIGH_WORD(ix,x);
/* |x| ~< pi/4 */
ix &= 0x7fffffff;
if(ix <= 0x3fe921fb) return __kernel_cos(x,z);
/* cos(Inf or NaN) is NaN */
else if (ix>=0x7ff00000)
#ifdef __SYMBIAN32__
return NAN;
#else
return x-x;
#endif //__SYMBIAN32__
/* argument reduction needed */
else {
//------------------------------------------------------------------------------
double Cmath::sin_pi( double x )
{
static const double two52= 4.50359962737049600000e+15; // 0x43300000, 0x00000000
static const double half= 5.00000000000000000000e-01; // 0x3FE00000, 0x00000000
static const double one = 1.00000000000000000000e+00; // 0x3FF00000, 0x00000000
static const double pi = 3.14159265358979311600e+00; // 0x400921FB, 0x54442D18
static const double a0 = 7.72156649015328655494e-02; // 0x3FB3C467, 0xE37DB0C8
static const double a1 = 3.22467033424113591611e-01; // 0x3FD4A34C, 0xC4A60FAD
static const double a2 = 6.73523010531292681824e-02; // 0x3FB13E00, 0x1A5562A7
static const double a3 = 2.05808084325167332806e-02; // 0x3F951322, 0xAC92547B
static const double a4 = 7.38555086081402883957e-03; // 0x3F7E404F, 0xB68FEFE8
static const double a5 = 2.89051383673415629091e-03; // 0x3F67ADD8, 0xCCB7926B
static const double a6 = 1.19270763183362067845e-03; // 0x3F538A94, 0x116F3F5D
static const double a7 = 5.10069792153511336608e-04; // 0x3F40B6C6, 0x89B99C00
static const double a8 = 2.20862790713908385557e-04; // 0x3F2CF2EC, 0xED10E54D
static const double a9 = 1.08011567247583939954e-04; // 0x3F1C5088, 0x987DFB07
static const double a10 = 2.52144565451257326939e-05; // 0x3EFA7074, 0x428CFA52
static const double a11 = 4.48640949618915160150e-05; // 0x3F07858E, 0x90A45837
static const double tc = 1.46163214496836224576e+00; // 0x3FF762D8, 0x6356BE3F
static const double tf = -1.21486290535849611461e-01; // 0xBFBF19B9, 0xBCC38A42
// tt = -(tail of tf)
static const double tt = -3.63867699703950536541e-18; // 0xBC50C7CA, 0xA48A971F
static const double t0 = 4.83836122723810047042e-01; // 0x3FDEF72B, 0xC8EE38A2
static const double t1 = -1.47587722994593911752e-01; // 0xBFC2E427, 0x8DC6C509
static const double t2 = 6.46249402391333854778e-02; // 0x3FB08B42, 0x94D5419B
static const double t3 = -3.27885410759859649565e-02; // 0xBFA0C9A8, 0xDF35B713
static const double t4 = 1.79706750811820387126e-02; // 0x3F9266E7, 0x970AF9EC
static const double t5 = -1.03142241298341437450e-02; // 0xBF851F9F, 0xBA91EC6A
static const double t6 = 6.10053870246291332635e-03; // 0x3F78FCE0, 0xE370E344
static const double t7 = -3.68452016781138256760e-03; // 0xBF6E2EFF, 0xB3E914D7
static const double t8 = 2.25964780900612472250e-03; // 0x3F6282D3, 0x2E15C915
static const double t9 = -1.40346469989232843813e-03; // 0xBF56FE8E, 0xBF2D1AF1
static const double t10 = 8.81081882437654011382e-04; // 0x3F4CDF0C, 0xEF61A8E9
static const double t11 = -5.38595305356740546715e-04; // 0xBF41A610, 0x9C73E0EC
static const double t12 = 3.15632070903625950361e-04; // 0x3F34AF6D, 0x6C0EBBF7
static const double t13 = -3.12754168375120860518e-04; // 0xBF347F24, 0xECC38C38
static const double t14 = 3.35529192635519073543e-04; // 0x3F35FD3E, 0xE8C2D3F4
static const double u0 = -7.72156649015328655494e-02; // 0xBFB3C467, 0xE37DB0C8
static const double u1 = 6.32827064025093366517e-01; // 0x3FE4401E, 0x8B005DFF
static const double u2 = 1.45492250137234768737e+00; // 0x3FF7475C, 0xD119BD6F
static const double u3 = 9.77717527963372745603e-01; // 0x3FEF4976, 0x44EA8450
static const double u4 = 2.28963728064692451092e-01; // 0x3FCD4EAE, 0xF6010924
static const double u5 = 1.33810918536787660377e-02; // 0x3F8B678B, 0xBF2BAB09
static const double v1 = 2.45597793713041134822e+00; // 0x4003A5D7, 0xC2BD619C
static const double v2 = 2.12848976379893395361e+00; // 0x40010725, 0xA42B18F5
static const double v3 = 7.69285150456672783825e-01; // 0x3FE89DFB, 0xE45050AF
static const double v4 = 1.04222645593369134254e-01; // 0x3FBAAE55, 0xD6537C88
static const double v5 = 3.21709242282423911810e-03; // 0x3F6A5ABB, 0x57D0CF61
static const double s0 = -7.72156649015328655494e-02; // 0xBFB3C467, 0xE37DB0C8
static const double s1 = 2.14982415960608852501e-01; // 0x3FCB848B, 0x36E20878
static const double s2 = 3.25778796408930981787e-01; // 0x3FD4D98F, 0x4F139F59
static const double s3 = 1.46350472652464452805e-01; // 0x3FC2BB9C, 0xBEE5F2F7
static const double s4 = 2.66422703033638609560e-02; // 0x3F9B481C, 0x7E939961
static const double s5 = 1.84028451407337715652e-03; // 0x3F5E26B6, 0x7368F239
static const double s6 = 3.19475326584100867617e-05; // 0x3F00BFEC, 0xDD17E945
static const double r1 = 1.39200533467621045958e+00; // 0x3FF645A7, 0x62C4AB74
static const double r2 = 7.21935547567138069525e-01; // 0x3FE71A18, 0x93D3DCDC
static const double r3 = 1.71933865632803078993e-01; // 0x3FC601ED, 0xCCFBDF27
static const double r4 = 1.86459191715652901344e-02; // 0x3F9317EA, 0x742ED475
static const double r5 = 7.77942496381893596434e-04; // 0x3F497DDA, 0xCA41A95B
static const double r6 = 7.32668430744625636189e-06; // 0x3EDEBAF7, 0xA5B38140
static const double w0 = 4.18938533204672725052e-01; // 0x3FDACFE3, 0x90C97D69
static const double w1 = 8.33333333333329678849e-02; // 0x3FB55555, 0x5555553B
static const double w2 = -2.77777777728775536470e-03; // 0xBF66C16C, 0x16B02E5C
static const double w3 = 7.93650558643019558500e-04; // 0x3F4A019F, 0x98CF38B6
static const double w4 = -5.95187557450339963135e-04; // 0xBF4380CB, 0x8C0FE741
static const double w5 = 8.36339918996282139126e-04; // 0x3F4B67BA, 0x4CDAD5D1
static const double w6 = -1.63092934096575273989e-03; // 0xBF5AB89D, 0x0B9E43E4
static const double zero = 0.00000000000000000000e+00;
double y, z;
Cmp_signed__int32 n, ix;
get_high_word( ix, x );
ix &= 0x7fffffff;
if( ix < 0x3fd00000 )
{
return __kernel_sin( pi * x, zero, 0 );
}
y = -x; // x is assume negative
//argument reduction, make sure inexact flag not raised if input is an integer
z = floor( y );
if( z != y )
{
// inexact anyway
y *= 0.5;
y = 2.0 * ( y - floor( y ) ); // y = |x| mod 2.0
n = (Cmp_signed__int32)( y * 4.0 );
}
else
{
if( ix >= 0x43400000 )
{
y = zero;
n = 0; // y must be even
}
else
{
if( ix < 0x43300000 )
{
z = y + two52; // exact
}
get_low_word( n, z );
n &= 1;
y = n;
n <<= 2;
}
}
switch( n )
{
case 0: y = __kernel_sin( pi * y, zero, 0 );
break;
case 1:
case 2: y = __kernel_cos( pi * ( 0.5 - y ), zero );
break;
case 3:
case 4: y = __kernel_sin( pi * ( one - y ), zero, 0 );
break;
case 5:
case 6: y = -__kernel_cos( pi * ( y - 1.5 ), zero );
break;
default: y = __kernel_sin( pi * ( y - 2.0 ), zero, 0 );
break;
}
return -y;
}
