X-Git-Url: http://erislabs.net/gitweb/?a=blobdiff_plain;ds=sidebyside;f=lib%2Fcosl.c;h=884cec8c6669d7766c8f549affb6f2ff167dc66b;hb=b1eaa47f003b6a9a227a56967e2c650515a6432b;hp=f019eee61b2868689a1f06503bd0d50467fd2f55;hpb=5657b2536d242966c41c268b9ab4fe8df727bb13;p=gnulib.git diff --git a/lib/cosl.c b/lib/cosl.c index f019eee61..884cec8c6 100644 --- a/lib/cosl.c +++ b/lib/cosl.c @@ -13,26 +13,31 @@ * ==================================================== */ +#include + +/* Specification. */ +#include + /* sinl(x) * 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: @@ -41,49 +46,45 @@ * trig(NaN) is that NaN; * * Accuracy: - * TRIG(x) returns trig(x) nearly rounded + * TRIG(x) returns trig(x) nearly rounded */ -#include - -#include "mathl.h" - #include "trigl.h" -#ifdef HAVE_SINL -#include "trigl.c" -#include "sincosl.c" -#endif 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 int -main () +main (void) { printf ("%.16Lg\n", cosl(0.7853981633974483096156608458198757210492)); printf ("%.16Lg\n", cosl(0.7853981633974483096156608458198757210492 *29));