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Diffstat (limited to 'src/math/asinl.c')
-rw-r--r-- | src/math/asinl.c | 80 |
1 files changed, 80 insertions, 0 deletions
diff --git a/src/math/asinl.c b/src/math/asinl.c new file mode 100644 index 00000000..370997bc --- /dev/null +++ b/src/math/asinl.c @@ -0,0 +1,80 @@ +/* origin: FreeBSD /usr/src/lib/msun/src/e_asinl.c */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunSoft, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ +/* + * See comments in asin.c. + * Converted to long double by David Schultz <das@FreeBSD.ORG>. + */ + +#include "libm.h" + +#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 +long double asinl(long double x) +{ + return asin(x); +} +#elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384 +#include "__invtrigl.h" +static const long double +one = 1.00000000000000000000e+00, +huge = 1.000e+300; + +long double asinl(long double x) +{ + union IEEEl2bits u; + long double t=0.0,w,p,q,c,r,s; + int16_t expsign, expt; + + u.e = x; + expsign = u.xbits.expsign; + expt = expsign & 0x7fff; + if (expt >= BIAS) { /* |x|>= 1 */ + if (expt == BIAS && + ((u.bits.manh&~LDBL_NBIT)|u.bits.manl) == 0) + /* asin(1)=+-pi/2 with inexact */ + return x*pio2_hi + x*pio2_lo; + return (x-x)/(x-x); /* asin(|x|>1) is NaN */ + } else if (expt < BIAS-1) { /* |x|<0.5 */ + if (expt < ASIN_LINEAR) { /* if |x| is small, asinl(x)=x */ + /* return x with inexact if x!=0 */ + if (huge+x > one) + return x; + } + t = x*x; + p = P(t); + q = Q(t); + w = p/q; + return x + x*w; + } + /* 1 > |x| >= 0.5 */ + w = one - fabsl(x); + t = w*0.5; + p = P(t); + q = Q(t); + s = sqrtl(t); + if (u.bits.manh >= THRESH) { /* if |x| is close to 1 */ + w = p/q; + t = pio2_hi-(2.0*(s+s*w)-pio2_lo); + } else { + u.e = s; + u.bits.manl = 0; + w = u.e; + c = (t-w*w)/(s+w); + r = p/q; + p = 2.0*s*r-(pio2_lo-2.0*c); + q = pio4_hi-2.0*w; + t = pio4_hi-(p-q); + } + if (expsign > 0) + return t; + return -t; +} +#endif |