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5e29dd5737
Similar to various other bugs in this area, some sinh implementations do not raise the underflow exception for subnormal arguments, when the result is tiny and inexact. This patch forces the exception in a similar way to previous fixes. Tested for x86_64, x86, mips64 and powerpc. [BZ #16519] * sysdeps/ieee754/dbl-64/e_sinh.c: Include <float.h>. (__ieee754_sinh): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/e_sinhf.c: Include <float.h>. (__ieee754_sinhf): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128/e_sinhl.c: Include <float.h>. (__ieee754_sinhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128ibm/e_sinhl.c: Include <float.h>. (__ieee754_sinhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-96/e_sinhl.c: Include <float.h>. (__ieee754_sinhl): Force underflow exception for arguments with small absolute value. * math/auto-libm-test-in: Add more tests of sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update.
84 lines
2.2 KiB
C
84 lines
2.2 KiB
C
/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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/* __ieee754_sinh(x)
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* Method :
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* mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
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* 1. Replace x by |x| (sinh(-x) = -sinh(x)).
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* 2.
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* E + E/(E+1)
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* 0 <= x <= 40 : sinh(x) := --------------, E=expm1(x)
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* 2
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*
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* 40 <= x <= lnovft : sinh(x) := exp(x)/2
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* lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2)
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* ln2ovft < x : sinh(x) := x*shuge (overflow)
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*
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* Special cases:
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* sinh(x) is |x| if x is +INF, -INF, or NaN.
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* only sinh(0)=0 is exact for finite x.
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*/
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#include <float.h>
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#include <math.h>
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#include <math_private.h>
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static const long double one = 1.0, shuge = 1.0e307;
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long double
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__ieee754_sinhl(long double x)
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{
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long double t,w,h;
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int64_t ix,jx;
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double xhi;
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/* High word of |x|. */
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xhi = ldbl_high (x);
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EXTRACT_WORDS64 (jx, xhi);
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ix = jx&0x7fffffffffffffffLL;
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/* x is INF or NaN */
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if(ix>=0x7ff0000000000000LL) return x+x;
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h = 0.5;
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if (jx<0) h = -h;
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/* |x| in [0,40], return sign(x)*0.5*(E+E/(E+1))) */
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if (ix < 0x4044000000000000LL) { /* |x|<40 */
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if (ix<0x3e20000000000000LL) { /* |x|<2**-29 */
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if (fabsl (x) < LDBL_MIN)
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{
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long double force_underflow = x * x;
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math_force_eval (force_underflow);
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}
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if(shuge+x>one) return x;/* sinhl(tiny) = tiny with inexact */
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}
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t = __expm1l(fabsl(x));
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if(ix<0x3ff0000000000000LL) return h*(2.0*t-t*t/(t+one));
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w = t/(t+one);
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return h*(t+w);
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}
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/* |x| in [40, log(maxdouble)] return 0.5*exp(|x|) */
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if (ix < 0x40862e42fefa39efLL) return h*__ieee754_expl(fabsl(x));
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/* |x| in [log(maxdouble), overflowthresold] */
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if (ix <= 0x408633ce8fb9f87dLL) {
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w = __ieee754_expl(0.5*fabsl(x));
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t = h*w;
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return t*w;
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}
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/* |x| > overflowthresold, sinh(x) overflow */
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return x*shuge;
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}
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strong_alias (__ieee754_sinhl, __sinhl_finite)
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