X-Git-Url: http://erislabs.net/gitweb/?a=blobdiff_plain;f=lib%2Fcosl.c;h=53df794a1e28f9d1f7fdf5c02e63155f36581dcd;hb=fe36c7a0984ab97b84f3909cd1d2be5e91706515;hp=3c28f77c6db93ad510b0580ac689ab26151685f0;hpb=e1123c2f4fedae90435426a82a05cf2e3233e97d;p=gnulib.git diff --git a/lib/cosl.c b/lib/cosl.c index 3c28f77c6..53df794a1 100644 --- a/lib/cosl.c +++ b/lib/cosl.c @@ -22,22 +22,22 @@ * 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: @@ -46,7 +46,7 @@ * trig(NaN) is that NaN; * * Accuracy: - * TRIG(x) returns trig(x) nearly rounded + * TRIG(x) returns trig(x) nearly rounded */ #include "trigl.h" @@ -57,29 +57,33 @@ long double cosl(long double x) { - long double y[2],z=0.0L; - int n; + long double y[2],z=0.0L; + int n; + + /* cosl(NaN) is NaN */ + if (isnanl (x)) + return x; /* |x| ~< pi/4 */ if(x >= -0.7853981633974483096156608458198757210492 && x <= 0.7853981633974483096156608458198757210492) return kernel_cosl(x, z); - /* sinl(Inf or NaN) is NaN, sinl(0) is 0 */ - else if ((x + x == x && x != 0.0) || x != x) + /* cosl(Inf) is NaN, cosl(0) is 1 */ + else if (x + x == x && x != 0.0) return x-x; /* NaN */ /* argument reduction needed */ - else { - n = ieee754_rem_pio2l(x,y); + else { + n = ieee754_rem_pio2l(x,y); switch(n&3) { case 0: return kernel_cosl(y[0],y[1]); case 1: return -kernel_sinl(y[0],y[1],1); case 2: return -kernel_cosl(y[0],y[1]); default: return kernel_sinl(y[0],y[1],1); - } - } + } + } } #if 0