f029f4be17
2012-11-01 Tobias Burnus <burnus@net-b.de> * Makefile.am (libquadmath_la_SOURCES): Add new math/* files. * Makefile.in: Regenerated. * math/acoshq.c: Update comment. * math/acosq.c: Ditto. * math/asinhq.c: Ditto. * math/asinq.c: Ditto. * math/atan2q.c: Ditto. * math/atanhq.c: Ditto. * math/ceilq.c: Ditto. * math/copysignq.c: Ditto. * math/cosq.c: Ditto. * math/coshq.c: Ditto. * math/erfq.c: Ditto. * math/fabsq.c: Ditto. * math/finiteq.c: Ditto. * math/floorq.c: Ditto. * math/fmodq.c: Ditto. * math/frexpq.c: Ditto. * math/isnanq.c: Ditto. * math/j0q.c: Ditto. * math/j1q.c: Ditto. * math/ldexpq.c: Ditto. * math/llroundq.c: Ditto. * math/log10q.c: Ditto. * math/log1pq.c: Ditto. * math/log2q.c: Ditto. * math/logq.c: Ditto. * math/lroundq.c: Ditto. * math/modfq.c: Ditto. * math/nextafterq.c: Ditto. * math/powq.c: Ditto. * math/rem_pio2q.c: Ditto. * math/remainderq.c: Ditto. * math/rintq.c: Ditto. * math/roundq.c: Ditto. * math/scalblnq.c: Ditto. * math/scalbnq.c: Ditto. * math/sincosq_kernel.c: Ditto. * math/sinq.c: Ditto. * math/tanq.c: Ditto. * math/expq.c: Ditto. (__expq_table, expq): Renamed local array from __expl_table. * math/cosq_kernel.c (__quadmath_kernel_cosq): Fix sign * handling. * math/cacoshq.c: Changes from GLIBC; fix returned sign. * math/casinhq.c: Changes from GLIBC to fix special-case. * math/cbrtq.c: Use modified GLIBC version. * math/complex.c (ccoshd, cexpq, clog10q, clogq, csinhq, csinq, ctanhq, ctanq): Moved to separates files. (mult_c128, div_c128): Removed no longer needed functions. (cexpiq): Call sincosq instead of sinq and cosq. (cosq): Call cosh(-re,im) instead of cosq/sinq/sinh/cosh. * math/ccoshq.c (ccoshq): New file, moved from complex.c and modified based on GLIBC. * math/cexpq.c (cexp): Ditto. * math/clog10q.c (clog10q): Ditto. * math/clogq.c (clogq): Ditto. * math/csinhq.c: Ditto. * math/csinq.c: Ditto. * math/csqrtq.c: Ditto. * math/ctanhq.c: Ditto. * math/ctanq.c: Ditto. * math/fmaq.c (fmaq): Port TININESS_AFTER_ROUNDING handling from GLIBC. * math/ilogbq.c (ilogbq): Add errno = EDOM handling. * math/isinf_nsq.c (__quadmath_isinf_nsq): New file, ported from GLIBC. * math/lgammaq.c (lgammaq): Add signgam handling. * math/sinhq.c (sinhq): Fix sign handling. * math/sinq_kernel.c (__quadmath_kernel_sinq): Ditto. * math/tgammaq.c (tgammaq): Ditto. * math/x2y2m1q.c: New file. * quadmath-imp.h (TININESS_AFTER_ROUNDING): New define. (__quadmath_x2y2m1q, __quadmath_isinf_nsq): New prototypes. From-SVN: r193063
60 lines
1.6 KiB
C
60 lines
1.6 KiB
C
/* acoshq.c -- __float128 version of e_acosh.c.
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* Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz.
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*/
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/*
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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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/* acoshq(x)
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* Method :
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* Based on
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* acoshl(x) = logl [ x + sqrtl(x*x-1) ]
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* we have
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* acoshl(x) := logl(x)+ln2, if x is large; else
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* acoshl(x) := logl(2x-1/(sqrtl(x*x-1)+x)) if x>2; else
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* acoshl(x) := log1pl(t+sqrtl(2.0*t+t*t)); where t=x-1.
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*
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* Special cases:
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* acoshl(x) is NaN with signal if x<1.
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* acoshl(NaN) is NaN without signal.
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*/
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#include "quadmath-imp.h"
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static const __float128
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one = 1.0Q,
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ln2 = 0.6931471805599453094172321214581766Q;
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__float128
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acoshq (__float128 x)
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{
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__float128 t;
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uint64_t lx;
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int64_t hx;
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GET_FLT128_WORDS64(hx,lx,x);
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if(hx<0x3fff000000000000LL) { /* x < 1 */
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return (x-x)/(x-x);
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} else if(hx >=0x4035000000000000LL) { /* x > 2**54 */
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if(hx >=0x7fff000000000000LL) { /* x is inf of NaN */
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return x+x;
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} else
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return logq(x)+ln2; /* acoshl(huge)=logl(2x) */
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} else if(((hx-0x3fff000000000000LL)|lx)==0) {
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return 0.0Q; /* acosh(1) = 0 */
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} else if (hx > 0x4000000000000000LL) { /* 2**28 > x > 2 */
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t=x*x;
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return logq(2.0Q*x-one/(x+sqrtq(t-one)));
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} else { /* 1<x<2 */
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t = x-one;
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return log1pq(t+sqrtq(2.0Q*t+t*t));
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}
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}
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