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authorUlrich Drepper <drepper@redhat.com>1999-07-14 00:54:57 +0000
committerUlrich Drepper <drepper@redhat.com>1999-07-14 00:54:57 +0000
commitabfbdde177c3a7155070dda1b2cdc8292054cc26 (patch)
treee021306b596381fbf8311d2b7eb294e918ff17c8 /sysdeps/ieee754
parent86421aa57ecfd70963ae66848bd6a6dd3b8e0fe6 (diff)
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Update.
Diffstat (limited to 'sysdeps/ieee754')
-rw-r--r--sysdeps/ieee754/Implies2
-rw-r--r--sysdeps/ieee754/dbl-64/Dist1
-rw-r--r--sysdeps/ieee754/dbl-64/dbl2mpn.c (renamed from sysdeps/ieee754/dbl2mpn.c)0
-rw-r--r--sysdeps/ieee754/dbl-64/e_acos.c144
-rw-r--r--sysdeps/ieee754/dbl-64/e_acosh.c69
-rw-r--r--sysdeps/ieee754/dbl-64/e_asin.c143
-rw-r--r--sysdeps/ieee754/dbl-64/e_atan2.c130
-rw-r--r--sysdeps/ieee754/dbl-64/e_atanh.c74
-rw-r--r--sysdeps/ieee754/dbl-64/e_cosh.c92
-rw-r--r--sysdeps/ieee754/dbl-64/e_exp.c162
-rw-r--r--sysdeps/ieee754/dbl-64/e_fmod.c140
-rw-r--r--sysdeps/ieee754/dbl-64/e_gamma_r.c51
-rw-r--r--sysdeps/ieee754/dbl-64/e_hypot.c128
-rw-r--r--sysdeps/ieee754/dbl-64/e_j0.c531
-rw-r--r--sysdeps/ieee754/dbl-64/e_j1.c532
-rw-r--r--sysdeps/ieee754/dbl-64/e_jn.c281
-rw-r--r--sysdeps/ieee754/dbl-64/e_lgamma_r.c314
-rw-r--r--sysdeps/ieee754/dbl-64/e_log.c165
-rw-r--r--sysdeps/ieee754/dbl-64/e_log10.c98
-rw-r--r--sysdeps/ieee754/dbl-64/e_pow.c352
-rw-r--r--sysdeps/ieee754/dbl-64/e_rem_pio2.c183
-rw-r--r--sysdeps/ieee754/dbl-64/e_remainder.c80
-rw-r--r--sysdeps/ieee754/dbl-64/e_sinh.c86
-rw-r--r--sysdeps/ieee754/dbl-64/e_sqrt.c452
-rw-r--r--sysdeps/ieee754/dbl-64/k_cos.c107
-rw-r--r--sysdeps/ieee754/dbl-64/k_rem_pio2.c320
-rw-r--r--sysdeps/ieee754/dbl-64/k_sin.c91
-rw-r--r--sysdeps/ieee754/dbl-64/k_tan.c145
-rw-r--r--sysdeps/ieee754/dbl-64/mpn2dbl.c (renamed from sysdeps/ieee754/mpn2dbl.c)0
-rw-r--r--sysdeps/ieee754/dbl-64/s_asinh.c70
-rw-r--r--sysdeps/ieee754/dbl-64/s_atan.c163
-rw-r--r--sysdeps/ieee754/dbl-64/s_cbrt.c76
-rw-r--r--sysdeps/ieee754/dbl-64/s_ceil.c85
-rw-r--r--sysdeps/ieee754/dbl-64/s_copysign.c43
-rw-r--r--sysdeps/ieee754/dbl-64/s_cos.c87
-rw-r--r--sysdeps/ieee754/dbl-64/s_erf.c431
-rw-r--r--sysdeps/ieee754/dbl-64/s_exp2.c129
-rw-r--r--sysdeps/ieee754/dbl-64/s_expm1.c243
-rw-r--r--sysdeps/ieee754/dbl-64/s_fabs.c40
-rw-r--r--sysdeps/ieee754/dbl-64/s_finite.c40
-rw-r--r--sysdeps/ieee754/dbl-64/s_floor.c86
-rw-r--r--sysdeps/ieee754/dbl-64/s_fpclassify.c43
-rw-r--r--sysdeps/ieee754/dbl-64/s_frexp.c64
-rw-r--r--sysdeps/ieee754/dbl-64/s_ilogb.c56
-rw-r--r--sysdeps/ieee754/dbl-64/s_isinf.c32
-rw-r--r--sysdeps/ieee754/dbl-64/s_isnan.c43
-rw-r--r--sysdeps/ieee754/dbl-64/s_llrint.c95
-rw-r--r--sysdeps/ieee754/dbl-64/s_llround.c81
-rw-r--r--sysdeps/ieee754/dbl-64/s_log1p.c191
-rw-r--r--sysdeps/ieee754/dbl-64/s_log2.c136
-rw-r--r--sysdeps/ieee754/dbl-64/s_logb.c47
-rw-r--r--sysdeps/ieee754/dbl-64/s_lrint.c95
-rw-r--r--sysdeps/ieee754/dbl-64/s_lround.c78
-rw-r--r--sysdeps/ieee754/dbl-64/s_modf.c85
-rw-r--r--sysdeps/ieee754/dbl-64/s_nearbyint.c98
-rw-r--r--sysdeps/ieee754/dbl-64/s_nexttoward.c1
-rw-r--r--sysdeps/ieee754/dbl-64/s_remquo.c113
-rw-r--r--sysdeps/ieee754/dbl-64/s_rint.c91
-rw-r--r--sysdeps/ieee754/dbl-64/s_round.c97
-rw-r--r--sysdeps/ieee754/dbl-64/s_scalbln.c70
-rw-r--r--sysdeps/ieee754/dbl-64/s_scalbn.c70
-rw-r--r--sysdeps/ieee754/dbl-64/s_signbit.c32
-rw-r--r--sysdeps/ieee754/dbl-64/s_sin.c87
-rw-r--r--sysdeps/ieee754/dbl-64/s_sincos.c78
-rw-r--r--sysdeps/ieee754/dbl-64/s_tan.c81
-rw-r--r--sysdeps/ieee754/dbl-64/s_tanh.c93
-rw-r--r--sysdeps/ieee754/dbl-64/s_trunc.c61
-rw-r--r--sysdeps/ieee754/dbl-64/t_exp.c436
-rw-r--r--sysdeps/ieee754/dbl-64/t_exp2.h585
-rw-r--r--sysdeps/ieee754/dbl-64/w_exp.c58
-rw-r--r--sysdeps/ieee754/flt-32/Dist1
-rw-r--r--sysdeps/ieee754/flt-32/e_acosf.c89
-rw-r--r--sysdeps/ieee754/flt-32/e_acoshf.c57
-rw-r--r--sysdeps/ieee754/flt-32/e_asinf.c93
-rw-r--r--sysdeps/ieee754/flt-32/e_atan2f.c105
-rw-r--r--sysdeps/ieee754/flt-32/e_atanhf.c58
-rw-r--r--sysdeps/ieee754/flt-32/e_coshf.c72
-rw-r--r--sysdeps/ieee754/flt-32/e_expf.c140
-rw-r--r--sysdeps/ieee754/flt-32/e_fmodf.c113
-rw-r--r--sysdeps/ieee754/flt-32/e_gammaf_r.c50
-rw-r--r--sysdeps/ieee754/flt-32/e_hypotf.c87
-rw-r--r--sysdeps/ieee754/flt-32/e_j0f.c444
-rw-r--r--sysdeps/ieee754/flt-32/e_j1f.c444
-rw-r--r--sysdeps/ieee754/flt-32/e_jnf.c213
-rw-r--r--sysdeps/ieee754/flt-32/e_lgammaf_r.c250
-rw-r--r--sysdeps/ieee754/flt-32/e_log10f.c67
-rw-r--r--sysdeps/ieee754/flt-32/e_logf.c99
-rw-r--r--sysdeps/ieee754/flt-32/e_powf.c253
-rw-r--r--sysdeps/ieee754/flt-32/e_rem_pio2f.c196
-rw-r--r--sysdeps/ieee754/flt-32/e_remainderf.c73
-rw-r--r--sysdeps/ieee754/flt-32/e_sinhf.c68
-rw-r--r--sysdeps/ieee754/flt-32/e_sqrtf.c97
-rw-r--r--sysdeps/ieee754/flt-32/k_cosf.c64
-rw-r--r--sysdeps/ieee754/flt-32/k_rem_pio2f.c213
-rw-r--r--sysdeps/ieee754/flt-32/k_sinf.c54
-rw-r--r--sysdeps/ieee754/flt-32/k_tanf.c101
-rw-r--r--sysdeps/ieee754/flt-32/mpn2flt.c (renamed from sysdeps/ieee754/mpn2flt.c)0
-rw-r--r--sysdeps/ieee754/flt-32/s_asinhf.c58
-rw-r--r--sysdeps/ieee754/flt-32/s_atanf.c120
-rw-r--r--sysdeps/ieee754/flt-32/s_cbrtf.c64
-rw-r--r--sysdeps/ieee754/flt-32/s_ceilf.c62
-rw-r--r--sysdeps/ieee754/flt-32/s_copysignf.c42
-rw-r--r--sysdeps/ieee754/flt-32/s_cosf.c60
-rw-r--r--sysdeps/ieee754/flt-32/s_erff.c225
-rw-r--r--sysdeps/ieee754/flt-32/s_exp2f.c127
-rw-r--r--sysdeps/ieee754/flt-32/s_expm1f.c135
-rw-r--r--sysdeps/ieee754/flt-32/s_fabsf.c39
-rw-r--r--sysdeps/ieee754/flt-32/s_finitef.c39
-rw-r--r--sysdeps/ieee754/flt-32/s_floorf.c71
-rw-r--r--sysdeps/ieee754/flt-32/s_fpclassifyf.c42
-rw-r--r--sysdeps/ieee754/flt-32/s_frexpf.c53
-rw-r--r--sysdeps/ieee754/flt-32/s_ilogbf.c44
-rw-r--r--sysdeps/ieee754/flt-32/s_isinff.c28
-rw-r--r--sysdeps/ieee754/flt-32/s_isnanf.c41
-rw-r--r--sysdeps/ieee754/flt-32/s_llrintf.c78
-rw-r--r--sysdeps/ieee754/flt-32/s_llroundf.c63
-rw-r--r--sysdeps/ieee754/flt-32/s_log1pf.c115
-rw-r--r--sysdeps/ieee754/flt-32/s_log2f.c91
-rw-r--r--sysdeps/ieee754/flt-32/s_logbf.c40
-rw-r--r--sysdeps/ieee754/flt-32/s_lrintf.c78
-rw-r--r--sysdeps/ieee754/flt-32/s_lroundf.c63
-rw-r--r--sysdeps/ieee754/flt-32/s_modff.c66
-rw-r--r--sysdeps/ieee754/flt-32/s_nearbyintf.c77
-rw-r--r--sysdeps/ieee754/flt-32/s_nextafterf.c71
-rw-r--r--sysdeps/ieee754/flt-32/s_remquof.c108
-rw-r--r--sysdeps/ieee754/flt-32/s_rintf.c72
-rw-r--r--sysdeps/ieee754/flt-32/s_roundf.c73
-rw-r--r--sysdeps/ieee754/flt-32/s_scalblnf.c63
-rw-r--r--sysdeps/ieee754/flt-32/s_scalbnf.c63
-rw-r--r--sysdeps/ieee754/flt-32/s_signbitf.c32
-rw-r--r--sysdeps/ieee754/flt-32/s_sincosf.c74
-rw-r--r--sysdeps/ieee754/flt-32/s_sinf.c54
-rw-r--r--sysdeps/ieee754/flt-32/s_tanf.c49
-rw-r--r--sysdeps/ieee754/flt-32/s_tanhf.c67
-rw-r--r--sysdeps/ieee754/flt-32/s_truncf.c52
-rw-r--r--sysdeps/ieee754/flt-32/t_exp2f.h352
-rw-r--r--sysdeps/ieee754/flt-32/w_expf.c59
-rw-r--r--sysdeps/ieee754/k_standard.c943
-rw-r--r--sysdeps/ieee754/ldbl-128/e_acoshl.c68
-rw-r--r--sysdeps/ieee754/ldbl-128/e_atan2l.c129
-rw-r--r--sysdeps/ieee754/ldbl-128/e_fmodl.c138
-rw-r--r--sysdeps/ieee754/ldbl-128/e_gammal_r.c52
-rw-r--r--sysdeps/ieee754/ldbl-128/e_remainderl.c78
-rw-r--r--sysdeps/ieee754/ldbl-128/ieee754.h171
-rw-r--r--sysdeps/ieee754/ldbl-128/ldbl2mpn.c137
-rw-r--r--sysdeps/ieee754/ldbl-128/math_ldbl.h82
-rw-r--r--sysdeps/ieee754/ldbl-128/mpn2ldbl.c51
-rw-r--r--sysdeps/ieee754/ldbl-128/printf_fphex.c84
-rw-r--r--sysdeps/ieee754/ldbl-128/s_ceill.c84
-rw-r--r--sysdeps/ieee754/ldbl-128/s_copysignl.c43
-rw-r--r--sysdeps/ieee754/ldbl-128/s_cosl.c83
-rw-r--r--sysdeps/ieee754/ldbl-128/s_fabsl.c39
-rw-r--r--sysdeps/ieee754/ldbl-128/s_finitel.c40
-rw-r--r--sysdeps/ieee754/ldbl-128/s_floorl.c85
-rw-r--r--sysdeps/ieee754/ldbl-128/s_fpclassifyl.c44
-rw-r--r--sysdeps/ieee754/ldbl-128/s_frexpl.c63
-rw-r--r--sysdeps/ieee754/ldbl-128/s_ilogbl.c55
-rw-r--r--sysdeps/ieee754/ldbl-128/s_isinfl.c28
-rw-r--r--sysdeps/ieee754/ldbl-128/s_isnanl.c42
-rw-r--r--sysdeps/ieee754/ldbl-128/s_llrintl.c75
-rw-r--r--sysdeps/ieee754/ldbl-128/s_llroundl.c74
-rw-r--r--sysdeps/ieee754/ldbl-128/s_logbl.c46
-rw-r--r--sysdeps/ieee754/ldbl-128/s_lrintl.c91
-rw-r--r--sysdeps/ieee754/ldbl-128/s_lroundl.c74
-rw-r--r--sysdeps/ieee754/ldbl-128/s_modfl.c88
-rw-r--r--sysdeps/ieee754/ldbl-128/s_nearbyintl.c93
-rw-r--r--sysdeps/ieee754/ldbl-128/s_nextafterl.c85
-rw-r--r--sysdeps/ieee754/ldbl-128/s_nexttoward.c97
-rw-r--r--sysdeps/ieee754/ldbl-128/s_nexttowardf.c81
-rw-r--r--sysdeps/ieee754/ldbl-128/s_remquol.c110
-rw-r--r--sysdeps/ieee754/ldbl-128/s_rintl.c90
-rw-r--r--sysdeps/ieee754/ldbl-128/s_roundl.c94
-rw-r--r--sysdeps/ieee754/ldbl-128/s_scalblnl.c70
-rw-r--r--sysdeps/ieee754/ldbl-128/s_scalbnl.c70
-rw-r--r--sysdeps/ieee754/ldbl-128/s_signbitl.c32
-rw-r--r--sysdeps/ieee754/ldbl-128/s_sincosl.c77
-rw-r--r--sysdeps/ieee754/ldbl-128/s_sinl.c83
-rw-r--r--sysdeps/ieee754/ldbl-128/s_tanl.c77
-rw-r--r--sysdeps/ieee754/ldbl-128/s_truncl.c57
-rw-r--r--sysdeps/ieee754/ldbl-128/strtold.c42
-rw-r--r--sysdeps/ieee754/ldbl-96/e_acoshl.c72
-rw-r--r--sysdeps/ieee754/ldbl-96/e_atan2l.c136
-rw-r--r--sysdeps/ieee754/ldbl-96/e_atanhl.c79
-rw-r--r--sysdeps/ieee754/ldbl-96/e_coshl.c94
-rw-r--r--sysdeps/ieee754/ldbl-96/e_gammal_r.c50
-rw-r--r--sysdeps/ieee754/ldbl-96/e_hypotl.c133
-rw-r--r--sysdeps/ieee754/ldbl-96/e_remainderl.c83
-rw-r--r--sysdeps/ieee754/ldbl-96/e_sinhl.c91
-rw-r--r--sysdeps/ieee754/ldbl-96/ldbl2mpn.c (renamed from sysdeps/ieee754/ldbl2mpn.c)4
-rw-r--r--sysdeps/ieee754/ldbl-96/math_ldbl.h98
-rw-r--r--sysdeps/ieee754/ldbl-96/mpn2ldbl.c (renamed from sysdeps/ieee754/mpn2ldbl.c)4
-rw-r--r--sysdeps/ieee754/ldbl-96/printf_fphex.c61
-rw-r--r--sysdeps/ieee754/ldbl-96/s_asinhl.c70
-rw-r--r--sysdeps/ieee754/ldbl-96/s_cbrtl.c78
-rw-r--r--sysdeps/ieee754/ldbl-96/s_ceill.c89
-rw-r--r--sysdeps/ieee754/ldbl-96/s_copysignl.c43
-rw-r--r--sysdeps/ieee754/ldbl-96/s_cosl.c88
-rw-r--r--sysdeps/ieee754/ldbl-96/s_fabsl.c40
-rw-r--r--sysdeps/ieee754/ldbl-96/s_finitel.c40
-rw-r--r--sysdeps/ieee754/ldbl-96/s_floorl.c90
-rw-r--r--sysdeps/ieee754/ldbl-96/s_fpclassifyl.c44
-rw-r--r--sysdeps/ieee754/ldbl-96/s_frexpl.c69
-rw-r--r--sysdeps/ieee754/ldbl-96/s_ilogbl.c56
-rw-r--r--sysdeps/ieee754/ldbl-96/s_isinfl.c29
-rw-r--r--sysdeps/ieee754/ldbl-96/s_isnanl.c44
-rw-r--r--sysdeps/ieee754/ldbl-96/s_llrintl.c77
-rw-r--r--sysdeps/ieee754/ldbl-96/s_llroundl.c81
-rw-r--r--sysdeps/ieee754/ldbl-96/s_logbl.c47
-rw-r--r--sysdeps/ieee754/ldbl-96/s_lrintl.c86
-rw-r--r--sysdeps/ieee754/ldbl-96/s_lroundl.c78
-rw-r--r--sysdeps/ieee754/ldbl-96/s_modfl.c85
-rw-r--r--sysdeps/ieee754/ldbl-96/s_nearbyintl.c95
-rw-r--r--sysdeps/ieee754/ldbl-96/s_nextafterl.c101
-rw-r--r--sysdeps/ieee754/ldbl-96/s_nexttoward.c98
-rw-r--r--sysdeps/ieee754/ldbl-96/s_nexttowardf.c78
-rw-r--r--sysdeps/ieee754/ldbl-96/s_remquol.c109
-rw-r--r--sysdeps/ieee754/ldbl-96/s_rintl.c91
-rw-r--r--sysdeps/ieee754/ldbl-96/s_roundl.c106
-rw-r--r--sysdeps/ieee754/ldbl-96/s_scalblnl.c71
-rw-r--r--sysdeps/ieee754/ldbl-96/s_scalbnl.c71
-rw-r--r--sysdeps/ieee754/ldbl-96/s_signbitl.c32
-rw-r--r--sysdeps/ieee754/ldbl-96/s_sincosl.c74
-rw-r--r--sysdeps/ieee754/ldbl-96/s_sinl.c88
-rw-r--r--sysdeps/ieee754/ldbl-96/s_tanhl.c95
-rw-r--r--sysdeps/ieee754/ldbl-96/s_tanl.c81
-rw-r--r--sysdeps/ieee754/ldbl-96/s_truncl.c57
-rw-r--r--sysdeps/ieee754/ldbl-96/strtold.c42
-rw-r--r--sysdeps/ieee754/ldbl-96/w_expl.c60
-rw-r--r--sysdeps/ieee754/s_lib_version.c40
-rw-r--r--sysdeps/ieee754/s_matherr.c35
-rw-r--r--sysdeps/ieee754/s_signgam.c3
231 files changed, 23775 insertions, 10 deletions
diff --git a/sysdeps/ieee754/Implies b/sysdeps/ieee754/Implies
deleted file mode 100644
index 5c9e98b..0000000
--- a/sysdeps/ieee754/Implies
+++ /dev/null
@@ -1,2 +0,0 @@
-# For all IEEE machines, use Sun's fdlibm code.
-libm-ieee754
diff --git a/sysdeps/ieee754/dbl-64/Dist b/sysdeps/ieee754/dbl-64/Dist
new file mode 100644
index 0000000..1bb7be35
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/Dist
@@ -0,0 +1 @@
+t_exp2.h
diff --git a/sysdeps/ieee754/dbl2mpn.c b/sysdeps/ieee754/dbl-64/dbl2mpn.c
index f7dead4..f7dead4 100644
--- a/sysdeps/ieee754/dbl2mpn.c
+++ b/sysdeps/ieee754/dbl-64/dbl2mpn.c
diff --git a/sysdeps/ieee754/dbl-64/e_acos.c b/sysdeps/ieee754/dbl-64/e_acos.c
new file mode 100644
index 0000000..eb4080a
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_acos.c
@@ -0,0 +1,144 @@
+/* @(#)e_acos.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/25,
+ for performance improvement on pipelined processors.
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_acos.c,v 1.9 1995/05/12 04:57:13 jtc Exp $";
+#endif
+
+/* __ieee754_acos(x)
+ * Method :
+ * acos(x) = pi/2 - asin(x)
+ * acos(-x) = pi/2 + asin(x)
+ * For |x|<=0.5
+ * acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c)
+ * For x>0.5
+ * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2)))
+ * = 2asin(sqrt((1-x)/2))
+ * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z)
+ * = 2f + (2c + 2s*z*R(z))
+ * where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term
+ * for f so that f+c ~ sqrt(z).
+ * For x<-0.5
+ * acos(x) = pi - 2asin(sqrt((1-|x|)/2))
+ * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z)
+ *
+ * Special cases:
+ * if x is NaN, return x itself;
+ * if |x|>1, return NaN with invalid signal.
+ *
+ * Function needed: __ieee754_sqrt
+ */
+
+#include "math.h"
+#include "math_private.h"
+#define one qS[0]
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
+pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
+pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */
+pS[] = {1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */
+ -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */
+ 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */
+ -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */
+ 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */
+ 3.47933107596021167570e-05}, /* 0x3F023DE1, 0x0DFDF709 */
+qS[] ={1.0, -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */
+ 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
+ -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
+ 7.70381505559019352791e-02}; /* 0x3FB3B8C5, 0xB12E9282 */
+
+#ifdef __STDC__
+ double __ieee754_acos(double x)
+#else
+ double __ieee754_acos(x)
+ double x;
+#endif
+{
+ double z,p,q,r,w,s,c,df,p1,p2,p3,q1,q2,z2,z4,z6;
+ int32_t hx,ix;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x3ff00000) { /* |x| >= 1 */
+ u_int32_t lx;
+ GET_LOW_WORD(lx,x);
+ if(((ix-0x3ff00000)|lx)==0) { /* |x|==1 */
+ if(hx>0) return 0.0; /* acos(1) = 0 */
+ else return pi+2.0*pio2_lo; /* acos(-1)= pi */
+ }
+ return (x-x)/(x-x); /* acos(|x|>1) is NaN */
+ }
+ if(ix<0x3fe00000) { /* |x| < 0.5 */
+ if(ix<=0x3c600000) return pio2_hi+pio2_lo;/*if|x|<2**-57*/
+ z = x*x;
+#ifdef DO_NOT_USE_THIS
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+#else
+ p1 = z*pS[0]; z2=z*z;
+ p2 = pS[1]+z*pS[2]; z4=z2*z2;
+ p3 = pS[3]+z*pS[4]; z6=z4*z2;
+ q1 = one+z*qS[1];
+ q2 = qS[2]+z*qS[3];
+ p = p1 + z2*p2 + z4*p3 + z6*pS[5];
+ q = q1 + z2*q2 + z4*qS[4];
+#endif
+ r = p/q;
+ return pio2_hi - (x - (pio2_lo-x*r));
+ } else if (hx<0) { /* x < -0.5 */
+ z = (one+x)*0.5;
+#ifdef DO_NOT_USE_THIS
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+#else
+ p1 = z*pS[0]; z2=z*z;
+ p2 = pS[1]+z*pS[2]; z4=z2*z2;
+ p3 = pS[3]+z*pS[4]; z6=z4*z2;
+ q1 = one+z*qS[1];
+ q2 = qS[2]+z*qS[3];
+ p = p1 + z2*p2 + z4*p3 + z6*pS[5];
+ q = q1 + z2*q2 + z4*qS[4];
+#endif
+ s = __ieee754_sqrt(z);
+ r = p/q;
+ w = r*s-pio2_lo;
+ return pi - 2.0*(s+w);
+ } else { /* x > 0.5 */
+ z = (one-x)*0.5;
+ s = __ieee754_sqrt(z);
+ df = s;
+ SET_LOW_WORD(df,0);
+ c = (z-df*df)/(s+df);
+#ifdef DO_NOT_USE_THIS
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+#else
+ p1 = z*pS[0]; z2=z*z;
+ p2 = pS[1]+z*pS[2]; z4=z2*z2;
+ p3 = pS[3]+z*pS[4]; z6=z4*z2;
+ q1 = one+z*qS[1];
+ q2 = qS[2]+z*qS[3];
+ p = p1 + z2*p2 + z4*p3 + z6*pS[5];
+ q = q1 + z2*q2 + z4*qS[4];
+#endif
+ r = p/q;
+ w = r*s+c;
+ return 2.0*(df+w);
+ }
+}
diff --git a/sysdeps/ieee754/dbl-64/e_acosh.c b/sysdeps/ieee754/dbl-64/e_acosh.c
new file mode 100644
index 0000000..27c29cd
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_acosh.c
@@ -0,0 +1,69 @@
+/* @(#)e_acosh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_acosh.c,v 1.9 1995/05/12 04:57:18 jtc Exp $";
+#endif
+
+/* __ieee754_acosh(x)
+ * Method :
+ * Based on
+ * acosh(x) = log [ x + sqrt(x*x-1) ]
+ * we have
+ * acosh(x) := log(x)+ln2, if x is large; else
+ * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else
+ * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1.
+ *
+ * Special cases:
+ * acosh(x) is NaN with signal if x<1.
+ * acosh(NaN) is NaN without signal.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one = 1.0,
+ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */
+
+#ifdef __STDC__
+ double __ieee754_acosh(double x)
+#else
+ double __ieee754_acosh(x)
+ double x;
+#endif
+{
+ double t;
+ int32_t hx;
+ u_int32_t lx;
+ EXTRACT_WORDS(hx,lx,x);
+ if(hx<0x3ff00000) { /* x < 1 */
+ return (x-x)/(x-x);
+ } else if(hx >=0x41b00000) { /* x > 2**28 */
+ if(hx >=0x7ff00000) { /* x is inf of NaN */
+ return x+x;
+ } else
+ return __ieee754_log(x)+ln2; /* acosh(huge)=log(2x) */
+ } else if(((hx-0x3ff00000)|lx)==0) {
+ return 0.0; /* acosh(1) = 0 */
+ } else if (hx > 0x40000000) { /* 2**28 > x > 2 */
+ t=x*x;
+ return __ieee754_log(2.0*x-one/(x+__ieee754_sqrt(t-one)));
+ } else { /* 1<x<2 */
+ t = x-one;
+ return __log1p(t+__sqrt(2.0*t+t*t));
+ }
+}
diff --git a/sysdeps/ieee754/dbl-64/e_asin.c b/sysdeps/ieee754/dbl-64/e_asin.c
new file mode 100644
index 0000000..aa19598
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_asin.c
@@ -0,0 +1,143 @@
+/* @(#)e_asin.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/25,
+ for performance improvement on pipelined processors.
+*/
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_asin.c,v 1.9 1995/05/12 04:57:22 jtc Exp $";
+#endif
+
+/* __ieee754_asin(x)
+ * Method :
+ * Since asin(x) = x + x^3/6 + x^5*3/40 + x^7*15/336 + ...
+ * we approximate asin(x) on [0,0.5] by
+ * asin(x) = x + x*x^2*R(x^2)
+ * where
+ * R(x^2) is a rational approximation of (asin(x)-x)/x^3
+ * and its remez error is bounded by
+ * |(asin(x)-x)/x^3 - R(x^2)| < 2^(-58.75)
+ *
+ * For x in [0.5,1]
+ * asin(x) = pi/2-2*asin(sqrt((1-x)/2))
+ * Let y = (1-x), z = y/2, s := sqrt(z), and pio2_hi+pio2_lo=pi/2;
+ * then for x>0.98
+ * asin(x) = pi/2 - 2*(s+s*z*R(z))
+ * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo)
+ * For x<=0.98, let pio4_hi = pio2_hi/2, then
+ * f = hi part of s;
+ * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z)
+ * and
+ * asin(x) = pi/2 - 2*(s+s*z*R(z))
+ * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo)
+ * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c))
+ *
+ * Special cases:
+ * if x is NaN, return x itself;
+ * if |x|>1, return NaN with invalid signal.
+ *
+ */
+
+
+#include "math.h"
+#include "math_private.h"
+#define one qS[0]
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+huge = 1.000e+300,
+pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
+pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */
+pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */
+ /* coefficient for R(x^2) */
+pS[] = {1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */
+ -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */
+ 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */
+ -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */
+ 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */
+ 3.47933107596021167570e-05}, /* 0x3F023DE1, 0x0DFDF709 */
+qS[] = {1.0, -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */
+ 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
+ -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
+ 7.70381505559019352791e-02}; /* 0x3FB3B8C5, 0xB12E9282 */
+
+#ifdef __STDC__
+ double __ieee754_asin(double x)
+#else
+ double __ieee754_asin(x)
+ double x;
+#endif
+{
+ double t,w,p,q,c,r,s,p1,p2,p3,q1,q2,z2,z4,z6;
+ int32_t hx,ix;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>= 0x3ff00000) { /* |x|>= 1 */
+ u_int32_t lx;
+ GET_LOW_WORD(lx,x);
+ if(((ix-0x3ff00000)|lx)==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 (ix<0x3fe00000) { /* |x|<0.5 */
+ if(ix<0x3e400000) { /* if |x| < 2**-27 */
+ if(huge+x>one) return x;/* return x with inexact if x!=0*/
+ } else {
+ t = x*x;
+#ifdef DO_NOT_USE_THIS
+ p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+ q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+#else
+ p1 = t*pS[0]; z2=t*t;
+ p2 = pS[1]+t*pS[2]; z4=z2*z2;
+ p3 = pS[3]+t*pS[4]; z6=z4*z2;
+ q1 = one+t*qS[1];
+ q2 = qS[2]+t*qS[3];
+ p = p1 + z2*p2 + z4*p3 + z6*pS[5];
+ q = q1 + z2*q2 + z4*qS[4];
+#endif
+ w = p/q;
+ return x+x*w;
+ }
+ }
+ /* 1> |x|>= 0.5 */
+ w = one-fabs(x);
+ t = w*0.5;
+#ifdef DO_NOT_USE_THIS
+ p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+ q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+#else
+ p1 = t*pS[0]; z2=t*t;
+ p2 = pS[1]+t*pS[2]; z4=z2*z2;
+ p3 = pS[3]+t*pS[4]; z6=z4*z2;
+ q1 = one+t*qS[1];
+ q2 = qS[2]+t*qS[3];
+ p = p1 + z2*p2 + z4*p3 + z6*pS[5];
+ q = q1 + z2*q2 + z4*qS[4];
+#endif
+ s = __ieee754_sqrt(t);
+ if(ix>=0x3FEF3333) { /* if |x| > 0.975 */
+ w = p/q;
+ t = pio2_hi-(2.0*(s+s*w)-pio2_lo);
+ } else {
+ w = s;
+ SET_LOW_WORD(w,0);
+ 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(hx>0) return t; else return -t;
+}
diff --git a/sysdeps/ieee754/dbl-64/e_atan2.c b/sysdeps/ieee754/dbl-64/e_atan2.c
new file mode 100644
index 0000000..ae7d759
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_atan2.c
@@ -0,0 +1,130 @@
+/* @(#)e_atan2.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_atan2.c,v 1.8 1995/05/10 20:44:51 jtc Exp $";
+#endif
+
+/* __ieee754_atan2(y,x)
+ * Method :
+ * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x).
+ * 2. Reduce x to positive by (if x and y are unexceptional):
+ * ARG (x+iy) = arctan(y/x) ... if x > 0,
+ * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0,
+ *
+ * Special cases:
+ *
+ * ATAN2((anything), NaN ) is NaN;
+ * ATAN2(NAN , (anything) ) is NaN;
+ * ATAN2(+-0, +(anything but NaN)) is +-0 ;
+ * ATAN2(+-0, -(anything but NaN)) is +-pi ;
+ * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2;
+ * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ;
+ * ATAN2(+-(anything but INF and NaN), -INF) is +-pi;
+ * ATAN2(+-INF,+INF ) is +-pi/4 ;
+ * ATAN2(+-INF,-INF ) is +-3pi/4;
+ * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2;
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+tiny = 1.0e-300,
+zero = 0.0,
+pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */
+pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */
+pi = 3.1415926535897931160E+00, /* 0x400921FB, 0x54442D18 */
+pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */
+
+#ifdef __STDC__
+ double __ieee754_atan2(double y, double x)
+#else
+ double __ieee754_atan2(y,x)
+ double y,x;
+#endif
+{
+ double z;
+ int32_t k,m,hx,hy,ix,iy;
+ u_int32_t lx,ly;
+
+ EXTRACT_WORDS(hx,lx,x);
+ ix = hx&0x7fffffff;
+ EXTRACT_WORDS(hy,ly,y);
+ iy = hy&0x7fffffff;
+ if(((ix|((lx|-lx)>>31))>0x7ff00000)||
+ ((iy|((ly|-ly)>>31))>0x7ff00000)) /* x or y is NaN */
+ return x+y;
+ if(((hx-0x3ff00000)|lx)==0) return __atan(y); /* x=1.0 */
+ m = ((hy>>31)&1)|((hx>>30)&2); /* 2*sign(x)+sign(y) */
+
+ /* when y = 0 */
+ if((iy|ly)==0) {
+ switch(m) {
+ case 0:
+ case 1: return y; /* atan(+-0,+anything)=+-0 */
+ case 2: return pi+tiny;/* atan(+0,-anything) = pi */
+ case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
+ }
+ }
+ /* when x = 0 */
+ if((ix|lx)==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* when x is INF */
+ if(ix==0x7ff00000) {
+ if(iy==0x7ff00000) {
+ switch(m) {
+ case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
+ case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
+ case 2: return 3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
+ case 3: return -3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
+ }
+ } else {
+ switch(m) {
+ case 0: return zero ; /* atan(+...,+INF) */
+ case 1: return -zero ; /* atan(-...,+INF) */
+ case 2: return pi+tiny ; /* atan(+...,-INF) */
+ case 3: return -pi-tiny ; /* atan(-...,-INF) */
+ }
+ }
+ }
+ /* when y is INF */
+ if(iy==0x7ff00000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* compute y/x */
+ k = (iy-ix)>>20;
+ if(k > 60) z=pi_o_2+0.5*pi_lo; /* |y/x| > 2**60 */
+ else if(hx<0&&k<-60) z=0.0; /* |y|/x < -2**60 */
+ else z=__atan(fabs(y/x)); /* safe to do y/x */
+ switch (m) {
+ case 0: return z ; /* atan(+,+) */
+ case 1: {
+ u_int32_t zh;
+ GET_HIGH_WORD(zh,z);
+ SET_HIGH_WORD(z,zh ^ 0x80000000);
+ }
+ return z ; /* atan(-,+) */
+ case 2: return pi-(z-pi_lo);/* atan(+,-) */
+ default: /* case 3 */
+ return (z-pi_lo)-pi;/* atan(-,-) */
+ }
+}
diff --git a/sysdeps/ieee754/dbl-64/e_atanh.c b/sysdeps/ieee754/dbl-64/e_atanh.c
new file mode 100644
index 0000000..fa4fe67
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_atanh.c
@@ -0,0 +1,74 @@
+/* @(#)e_atanh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_atanh.c,v 1.8 1995/05/10 20:44:55 jtc Exp $";
+#endif
+
+/* __ieee754_atanh(x)
+ * Method :
+ * 1.Reduced x to positive by atanh(-x) = -atanh(x)
+ * 2.For x>=0.5
+ * 1 2x x
+ * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
+ * 2 1 - x 1 - x
+ *
+ * For x<0.5
+ * atanh(x) = 0.5*log1p(2x+2x*x/(1-x))
+ *
+ * Special cases:
+ * atanh(x) is NaN if |x| > 1 with signal;
+ * atanh(NaN) is that NaN with no signal;
+ * atanh(+-1) is +-INF with signal.
+ *
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0, huge = 1e300;
+#else
+static double one = 1.0, huge = 1e300;
+#endif
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_atanh(double x)
+#else
+ double __ieee754_atanh(x)
+ double x;
+#endif
+{
+ double t;
+ int32_t hx,ix;
+ u_int32_t lx;
+ EXTRACT_WORDS(hx,lx,x);
+ ix = hx&0x7fffffff;
+ if ((ix|((lx|(-lx))>>31))>0x3ff00000) /* |x|>1 */
+ return (x-x)/(x-x);
+ if(ix==0x3ff00000)
+ return x/zero;
+ if(ix<0x3e300000&&(huge+x)>zero) return x; /* x<2**-28 */
+ SET_HIGH_WORD(x,ix);
+ if(ix<0x3fe00000) { /* x < 0.5 */
+ t = x+x;
+ t = 0.5*__log1p(t+t*x/(one-x));
+ } else
+ t = 0.5*__log1p((x+x)/(one-x));
+ if(hx>=0) return t; else return -t;
+}
diff --git a/sysdeps/ieee754/dbl-64/e_cosh.c b/sysdeps/ieee754/dbl-64/e_cosh.c
new file mode 100644
index 0000000..65106b9
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_cosh.c
@@ -0,0 +1,92 @@
+/* @(#)e_cosh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_cosh.c,v 1.7 1995/05/10 20:44:58 jtc Exp $";
+#endif
+
+/* __ieee754_cosh(x)
+ * Method :
+ * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2
+ * 1. Replace x by |x| (cosh(x) = cosh(-x)).
+ * 2.
+ * [ exp(x) - 1 ]^2
+ * 0 <= x <= ln2/2 : cosh(x) := 1 + -------------------
+ * 2*exp(x)
+ *
+ * exp(x) + 1/exp(x)
+ * ln2/2 <= x <= 22 : cosh(x) := -------------------
+ * 2
+ * 22 <= x <= lnovft : cosh(x) := exp(x)/2
+ * lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2)
+ * ln2ovft < x : cosh(x) := huge*huge (overflow)
+ *
+ * Special cases:
+ * cosh(x) is |x| if x is +INF, -INF, or NaN.
+ * only cosh(0)=1 is exact for finite x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0, half=0.5, huge = 1.0e300;
+#else
+static double one = 1.0, half=0.5, huge = 1.0e300;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_cosh(double x)
+#else
+ double __ieee754_cosh(x)
+ double x;
+#endif
+{
+ double t,w;
+ int32_t ix;
+ u_int32_t lx;
+
+ /* High word of |x|. */
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7ff00000) return x*x;
+
+ /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
+ if(ix<0x3fd62e43) {
+ t = __expm1(fabs(x));
+ w = one+t;
+ if (ix<0x3c800000) return w; /* cosh(tiny) = 1 */
+ return one+(t*t)/(w+w);
+ }
+
+ /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
+ if (ix < 0x40360000) {
+ t = __ieee754_exp(fabs(x));
+ return half*t+half/t;
+ }
+
+ /* |x| in [22, log(maxdouble)] return half*exp(|x|) */
+ if (ix < 0x40862e42) return half*__ieee754_exp(fabs(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ GET_LOW_WORD(lx,x);
+ if (ix<0x408633ce || ((ix==0x408633ce)&&(lx<=(u_int32_t)0x8fb9f87d))) {
+ w = __ieee754_exp(half*fabs(x));
+ t = half*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthresold, cosh(x) overflow */
+ return huge*huge;
+}
diff --git a/sysdeps/ieee754/dbl-64/e_exp.c b/sysdeps/ieee754/dbl-64/e_exp.c
new file mode 100644
index 0000000..ee0b22f
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_exp.c
@@ -0,0 +1,162 @@
+/* Double-precision floating point e^x.
+ Copyright (C) 1997, 1998 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Geoffrey Keating <geoffk@ozemail.com.au>
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+/* How this works:
+ The basic design here is from
+ Shmuel Gal and Boris Bachelis, "An Accurate Elementary Mathematical
+ Library for the IEEE Floating Point Standard", ACM Trans. Math. Soft.,
+ 17 (1), March 1991, pp. 26-45.
+
+ The input value, x, is written as
+
+ x = n * ln(2)_0 + t/512 + delta[t] + x + n * ln(2)_1
+
+ where:
+ - n is an integer, 1024 >= n >= -1075;
+ - ln(2)_0 is the first 43 bits of ln(2), and ln(2)_1 is the remainder, so
+ that |ln(2)_1| < 2^-32;
+ - t is an integer, 177 >= t >= -177
+ - delta is based on a table entry, delta[t] < 2^-28
+ - x is whatever is left, |x| < 2^-10
+
+ Then e^x is approximated as
+
+ e^x = 2^n_1 ( 2^n_0 e^(t/512 + delta[t])
+ + ( 2^n_0 e^(t/512 + delta[t])
+ * ( p(x + n * ln(2)_1)
+ - n*ln(2)_1
+ - n*ln(2)_1 * p(x + n * ln(2)_1) ) ) )
+
+ where
+ - p(x) is a polynomial approximating e(x)-1;
+ - e^(t/512 + delta[t]) is obtained from a table;
+ - n_1 + n_0 = n, so that |n_0| < DBL_MIN_EXP-1.
+
+ If it happens that n_1 == 0 (this is the usual case), that multiplication
+ is omitted.
+ */
+#ifndef _GNU_SOURCE
+#define _GNU_SOURCE
+#endif
+#include <float.h>
+#include <ieee754.h>
+#include <math.h>
+#include <fenv.h>
+#include <inttypes.h>
+#include <math_private.h>
+
+extern const float __exp_deltatable[178];
+extern const double __exp_atable[355] /* __attribute__((mode(DF))) */;
+
+static const volatile double TWO1023 = 8.988465674311579539e+307;
+static const volatile double TWOM1000 = 9.3326361850321887899e-302;
+
+double
+__ieee754_exp (double x)
+{
+ static const double himark = 709.7827128933840868;
+ static const double lomark = -745.1332191019412221;
+ /* Check for usual case. */
+ if (isless (x, himark) && isgreater (x, lomark))
+ {
+ static const double THREEp42 = 13194139533312.0;
+ static const double THREEp51 = 6755399441055744.0;
+ /* 1/ln(2). */
+ static const double M_1_LN2 = 1.442695040888963387;
+ /* ln(2), part 1 */
+ static const double M_LN2_0 = .6931471805598903302;
+ /* ln(2), part 2 */
+ static const double M_LN2_1 = 5.497923018708371155e-14;
+
+ int tval, unsafe, n_i;
+ double x22, n, t, dely, result;
+ union ieee754_double ex2_u, scale_u;
+ fenv_t oldenv;
+
+ feholdexcept (&oldenv);
+#ifdef FE_TONEAREST
+ fesetround (FE_TONEAREST);
+#endif
+
+ /* Calculate n. */
+ n = x * M_1_LN2 + THREEp51;
+ n -= THREEp51;
+ x = x - n*M_LN2_0;
+
+ /* Calculate t/512. */
+ t = x + THREEp42;
+ t -= THREEp42;
+ x -= t;
+
+ /* Compute tval = t. */
+ tval = (int) (t * 512.0);
+
+ if (t >= 0)
+ x -= __exp_deltatable[tval];
+ else
+ x += __exp_deltatable[-tval];
+
+ /* Now, the variable x contains x + n*ln(2)_1. */
+ dely = n*M_LN2_1;
+
+ /* Compute ex2 = 2^n_0 e^(t/512+delta[t]). */
+ ex2_u.d = __exp_atable[tval+177];
+ n_i = (int)n;
+ /* 'unsafe' is 1 iff n_1 != 0. */
+ unsafe = abs(n_i) >= -DBL_MIN_EXP - 1;
+ ex2_u.ieee.exponent += n_i >> unsafe;
+
+ /* Compute scale = 2^n_1. */
+ scale_u.d = 1.0;
+ scale_u.ieee.exponent += n_i - (n_i >> unsafe);
+
+ /* Approximate e^x2 - 1, using a fourth-degree polynomial,
+ with maximum error in [-2^-10-2^-28,2^-10+2^-28]
+ less than 4.9e-19. */
+ x22 = (((0.04166666898464281565
+ * x + 0.1666666766008501610)
+ * x + 0.499999999999990008)
+ * x + 0.9999999999999976685) * x;
+ /* Allow for impact of dely. */
+ x22 -= dely + dely*x22;
+
+ /* Return result. */
+ fesetenv (&oldenv);
+
+ result = x22 * ex2_u.d + ex2_u.d;
+ if (!unsafe)
+ return result;
+ else
+ return result * scale_u.d;
+ }
+ /* Exceptional cases: */
+ else if (isless (x, himark))
+ {
+ if (__isinf (x))
+ /* e^-inf == 0, with no error. */
+ return 0;
+ else
+ /* Underflow */
+ return TWOM1000 * TWOM1000;
+ }
+ else
+ /* Return x, if x is a NaN or Inf; or overflow, otherwise. */
+ return TWO1023*x;
+}
diff --git a/sysdeps/ieee754/dbl-64/e_fmod.c b/sysdeps/ieee754/dbl-64/e_fmod.c
new file mode 100644
index 0000000..2ce6135
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_fmod.c
@@ -0,0 +1,140 @@
+/* @(#)e_fmod.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_fmod.c,v 1.8 1995/05/10 20:45:07 jtc Exp $";
+#endif
+
+/*
+ * __ieee754_fmod(x,y)
+ * Return x mod y in exact arithmetic
+ * Method: shift and subtract
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0, Zero[] = {0.0, -0.0,};
+#else
+static double one = 1.0, Zero[] = {0.0, -0.0,};
+#endif
+
+#ifdef __STDC__
+ double __ieee754_fmod(double x, double y)
+#else
+ double __ieee754_fmod(x,y)
+ double x,y ;
+#endif
+{
+ int32_t n,hx,hy,hz,ix,iy,sx,i;
+ u_int32_t lx,ly,lz;
+
+ EXTRACT_WORDS(hx,lx,x);
+ EXTRACT_WORDS(hy,ly,y);
+ sx = hx&0x80000000; /* sign of x */
+ hx ^=sx; /* |x| */
+ hy &= 0x7fffffff; /* |y| */
+
+ /* purge off exception values */
+ if((hy|ly)==0||(hx>=0x7ff00000)|| /* y=0,or x not finite */
+ ((hy|((ly|-ly)>>31))>0x7ff00000)) /* or y is NaN */
+ return (x*y)/(x*y);
+ if(hx<=hy) {
+ if((hx<hy)||(lx<ly)) return x; /* |x|<|y| return x */
+ if(lx==ly)
+ return Zero[(u_int32_t)sx>>31]; /* |x|=|y| return x*0*/
+ }
+
+ /* determine ix = ilogb(x) */
+ if(hx<0x00100000) { /* subnormal x */
+ if(hx==0) {
+ for (ix = -1043, i=lx; i>0; i<<=1) ix -=1;
+ } else {
+ for (ix = -1022,i=(hx<<11); i>0; i<<=1) ix -=1;
+ }
+ } else ix = (hx>>20)-1023;
+
+ /* determine iy = ilogb(y) */
+ if(hy<0x00100000) { /* subnormal y */
+ if(hy==0) {
+ for (iy = -1043, i=ly; i>0; i<<=1) iy -=1;
+ } else {
+ for (iy = -1022,i=(hy<<11); i>0; i<<=1) iy -=1;
+ }
+ } else iy = (hy>>20)-1023;
+
+ /* set up {hx,lx}, {hy,ly} and align y to x */
+ if(ix >= -1022)
+ hx = 0x00100000|(0x000fffff&hx);
+ else { /* subnormal x, shift x to normal */
+ n = -1022-ix;
+ if(n<=31) {
+ hx = (hx<<n)|(lx>>(32-n));
+ lx <<= n;
+ } else {
+ hx = lx<<(n-32);
+ lx = 0;
+ }
+ }
+ if(iy >= -1022)
+ hy = 0x00100000|(0x000fffff&hy);
+ else { /* subnormal y, shift y to normal */
+ n = -1022-iy;
+ if(n<=31) {
+ hy = (hy<<n)|(ly>>(32-n));
+ ly <<= n;
+ } else {
+ hy = ly<<(n-32);
+ ly = 0;
+ }
+ }
+
+ /* fix point fmod */
+ n = ix - iy;
+ while(n--) {
+ hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+ if(hz<0){hx = hx+hx+(lx>>31); lx = lx+lx;}
+ else {
+ if((hz|lz)==0) /* return sign(x)*0 */
+ return Zero[(u_int32_t)sx>>31];
+ hx = hz+hz+(lz>>31); lx = lz+lz;
+ }
+ }
+ hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+ if(hz>=0) {hx=hz;lx=lz;}
+
+ /* convert back to floating value and restore the sign */
+ if((hx|lx)==0) /* return sign(x)*0 */
+ return Zero[(u_int32_t)sx>>31];
+ while(hx<0x00100000) { /* normalize x */
+ hx = hx+hx+(lx>>31); lx = lx+lx;
+ iy -= 1;
+ }
+ if(iy>= -1022) { /* normalize output */
+ hx = ((hx-0x00100000)|((iy+1023)<<20));
+ INSERT_WORDS(x,hx|sx,lx);
+ } else { /* subnormal output */
+ n = -1022 - iy;
+ if(n<=20) {
+ lx = (lx>>n)|((u_int32_t)hx<<(32-n));
+ hx >>= n;
+ } else if (n<=31) {
+ lx = (hx<<(32-n))|(lx>>n); hx = sx;
+ } else {
+ lx = hx>>(n-32); hx = sx;
+ }
+ INSERT_WORDS(x,hx|sx,lx);
+ x *= one; /* create necessary signal */
+ }
+ return x; /* exact output */
+}
diff --git a/sysdeps/ieee754/dbl-64/e_gamma_r.c b/sysdeps/ieee754/dbl-64/e_gamma_r.c
new file mode 100644
index 0000000..bd802c2
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_gamma_r.c
@@ -0,0 +1,51 @@
+/* Implementation of gamma function according to ISO C.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+#include <math_private.h>
+
+
+double
+__ieee754_gamma_r (double x, int *signgamp)
+{
+ /* We don't have a real gamma implementation now. We'll use lgamma
+ and the exp function. But due to the required boundary
+ conditions we must check some values separately. */
+ int32_t hx;
+ u_int32_t lx;
+
+ EXTRACT_WORDS (hx, lx, x);
+
+ if (((hx & 0x7fffffff) | lx) == 0)
+ {
+ /* Return value for x == 0 is NaN with invalid exception. */
+ *signgamp = 0;
+ return x / x;
+ }
+ if (hx < 0 && (u_int32_t) hx < 0xfff00000 && __rint (x) == x)
+ {
+ /* Return value for integer x < 0 is NaN with invalid exception. */
+ *signgamp = 0;
+ return (x - x) / (x - x);
+ }
+
+ /* XXX FIXME. */
+ return __ieee754_exp (__ieee754_lgamma_r (x, signgamp));
+}
diff --git a/sysdeps/ieee754/dbl-64/e_hypot.c b/sysdeps/ieee754/dbl-64/e_hypot.c
new file mode 100644
index 0000000..76a77ec
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_hypot.c
@@ -0,0 +1,128 @@
+/* @(#)e_hypot.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_hypot.c,v 1.9 1995/05/12 04:57:27 jtc Exp $";
+#endif
+
+/* __ieee754_hypot(x,y)
+ *
+ * Method :
+ * If (assume round-to-nearest) z=x*x+y*y
+ * has error less than sqrt(2)/2 ulp, than
+ * sqrt(z) has error less than 1 ulp (exercise).
+ *
+ * So, compute sqrt(x*x+y*y) with some care as
+ * follows to get the error below 1 ulp:
+ *
+ * Assume x>y>0;
+ * (if possible, set rounding to round-to-nearest)
+ * 1. if x > 2y use
+ * x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y
+ * where x1 = x with lower 32 bits cleared, x2 = x-x1; else
+ * 2. if x <= 2y use
+ * t1*y1+((x-y)*(x-y)+(t1*y2+t2*y))
+ * where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1,
+ * y1= y with lower 32 bits chopped, y2 = y-y1.
+ *
+ * NOTE: scaling may be necessary if some argument is too
+ * large or too tiny
+ *
+ * Special cases:
+ * hypot(x,y) is INF if x or y is +INF or -INF; else
+ * hypot(x,y) is NAN if x or y is NAN.
+ *
+ * Accuracy:
+ * hypot(x,y) returns sqrt(x^2+y^2) with error less
+ * than 1 ulps (units in the last place)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __ieee754_hypot(double x, double y)
+#else
+ double __ieee754_hypot(x,y)
+ double x, y;
+#endif
+{
+ double a,b,t1,t2,y1,y2,w;
+ int32_t j,k,ha,hb;
+
+ GET_HIGH_WORD(ha,x);
+ ha &= 0x7fffffff;
+ GET_HIGH_WORD(hb,y);
+ hb &= 0x7fffffff;
+ if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
+ SET_HIGH_WORD(a,ha); /* a <- |a| */
+ SET_HIGH_WORD(b,hb); /* b <- |b| */
+ if((ha-hb)>0x3c00000) {return a+b;} /* x/y > 2**60 */
+ k=0;
+ if(ha > 0x5f300000) { /* a>2**500 */
+ if(ha >= 0x7ff00000) { /* Inf or NaN */
+ u_int32_t low;
+ w = a+b; /* for sNaN */
+ GET_LOW_WORD(low,a);
+ if(((ha&0xfffff)|low)==0) w = a;
+ GET_LOW_WORD(low,b);
+ if(((hb^0x7ff00000)|low)==0) w = b;
+ return w;
+ }
+ /* scale a and b by 2**-600 */
+ ha -= 0x25800000; hb -= 0x25800000; k += 600;
+ SET_HIGH_WORD(a,ha);
+ SET_HIGH_WORD(b,hb);
+ }
+ if(hb < 0x20b00000) { /* b < 2**-500 */
+ if(hb <= 0x000fffff) { /* subnormal b or 0 */
+ u_int32_t low;
+ GET_LOW_WORD(low,b);
+ if((hb|low)==0) return a;
+ t1=0;
+ SET_HIGH_WORD(t1,0x7fd00000); /* t1=2^1022 */
+ b *= t1;
+ a *= t1;
+ k -= 1022;
+ } else { /* scale a and b by 2^600 */
+ ha += 0x25800000; /* a *= 2^600 */
+ hb += 0x25800000; /* b *= 2^600 */
+ k -= 600;
+ SET_HIGH_WORD(a,ha);
+ SET_HIGH_WORD(b,hb);
+ }
+ }
+ /* medium size a and b */
+ w = a-b;
+ if (w>b) {
+ t1 = 0;
+ SET_HIGH_WORD(t1,ha);
+ t2 = a-t1;
+ w = __ieee754_sqrt(t1*t1-(b*(-b)-t2*(a+t1)));
+ } else {
+ a = a+a;
+ y1 = 0;
+ SET_HIGH_WORD(y1,hb);
+ y2 = b - y1;
+ t1 = 0;
+ SET_HIGH_WORD(t1,ha+0x00100000);
+ t2 = a - t1;
+ w = __ieee754_sqrt(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+ }
+ if(k!=0) {
+ u_int32_t high;
+ t1 = 1.0;
+ GET_HIGH_WORD(high,t1);
+ SET_HIGH_WORD(t1,high+(k<<20));
+ return t1*w;
+ } else return w;
+}
diff --git a/sysdeps/ieee754/dbl-64/e_j0.c b/sysdeps/ieee754/dbl-64/e_j0.c
new file mode 100644
index 0000000..55e8294
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_j0.c
@@ -0,0 +1,531 @@
+/* @(#)e_j0.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/26,
+ for performance improvement on pipelined processors.
+*/
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_j0.c,v 1.8 1995/05/10 20:45:23 jtc Exp $";
+#endif
+
+/* __ieee754_j0(x), __ieee754_y0(x)
+ * Bessel function of the first and second kinds of order zero.
+ * Method -- j0(x):
+ * 1. For tiny x, we use j0(x) = 1 - x^2/4 + x^4/64 - ...
+ * 2. Reduce x to |x| since j0(x)=j0(-x), and
+ * for x in (0,2)
+ * j0(x) = 1-z/4+ z^2*R0/S0, where z = x*x;
+ * (precision: |j0-1+z/4-z^2R0/S0 |<2**-63.67 )
+ * for x in (2,inf)
+ * j0(x) = sqrt(2/(pi*x))*(p0(x)*cos(x0)-q0(x)*sin(x0))
+ * where x0 = x-pi/4. It is better to compute sin(x0),cos(x0)
+ * as follow:
+ * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
+ * = 1/sqrt(2) * (cos(x) + sin(x))
+ * sin(x0) = sin(x)cos(pi/4)-cos(x)sin(pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * (To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.)
+ *
+ * 3 Special cases
+ * j0(nan)= nan
+ * j0(0) = 1
+ * j0(inf) = 0
+ *
+ * Method -- y0(x):
+ * 1. For x<2.
+ * Since
+ * y0(x) = 2/pi*(j0(x)*(ln(x/2)+Euler) + x^2/4 - ...)
+ * therefore y0(x)-2/pi*j0(x)*ln(x) is an even function.
+ * We use the following function to approximate y0,
+ * y0(x) = U(z)/V(z) + (2/pi)*(j0(x)*ln(x)), z= x^2
+ * where
+ * U(z) = u00 + u01*z + ... + u06*z^6
+ * V(z) = 1 + v01*z + ... + v04*z^4
+ * with absolute approximation error bounded by 2**-72.
+ * Note: For tiny x, U/V = u0 and j0(x)~1, hence
+ * y0(tiny) = u0 + (2/pi)*ln(tiny), (choose tiny<2**-27)
+ * 2. For x>=2.
+ * y0(x) = sqrt(2/(pi*x))*(p0(x)*cos(x0)+q0(x)*sin(x0))
+ * where x0 = x-pi/4. It is better to compute sin(x0),cos(x0)
+ * by the method mentioned above.
+ * 3. Special cases: y0(0)=-inf, y0(x<0)=NaN, y0(inf)=0.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static double pzero(double), qzero(double);
+#else
+static double pzero(), qzero();
+#endif
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+huge = 1e300,
+one = 1.0,
+invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
+tpi = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+ /* R0/S0 on [0, 2.00] */
+R[] = {0.0, 0.0, 1.56249999999999947958e-02, /* 0x3F8FFFFF, 0xFFFFFFFD */
+ -1.89979294238854721751e-04, /* 0xBF28E6A5, 0xB61AC6E9 */
+ 1.82954049532700665670e-06, /* 0x3EBEB1D1, 0x0C503919 */
+ -4.61832688532103189199e-09}, /* 0xBE33D5E7, 0x73D63FCE */
+S[] = {0.0, 1.56191029464890010492e-02, /* 0x3F8FFCE8, 0x82C8C2A4 */
+ 1.16926784663337450260e-04, /* 0x3F1EA6D2, 0xDD57DBF4 */
+ 5.13546550207318111446e-07, /* 0x3EA13B54, 0xCE84D5A9 */
+ 1.16614003333790000205e-09}; /* 0x3E1408BC, 0xF4745D8F */
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_j0(double x)
+#else
+ double __ieee754_j0(x)
+ double x;
+#endif
+{
+ double z, s,c,ss,cc,r,u,v,r1,r2,s1,s2,z2,z4;
+ int32_t hx,ix;
+
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return one/(x*x);
+ x = fabs(x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = __sin(x);
+ c = __cos(x);
+ ss = s-c;
+ cc = s+c;
+ if(ix<0x7fe00000) { /* make sure x+x not overflow */
+ z = -__cos(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /*
+ * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+ * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+ */
+ if(ix>0x48000000) z = (invsqrtpi*cc)/__sqrt(x);
+ else {
+ u = pzero(x); v = qzero(x);
+ z = invsqrtpi*(u*cc-v*ss)/__sqrt(x);
+ }
+ return z;
+ }
+ if(ix<0x3f200000) { /* |x| < 2**-13 */
+ if(huge+x>one) { /* raise inexact if x != 0 */
+ if(ix<0x3e400000) return one; /* |x|<2**-27 */
+ else return one - 0.25*x*x;
+ }
+ }
+ z = x*x;
+#ifdef DO_NOT_USE_THIS
+ r = z*(R02+z*(R03+z*(R04+z*R05)));
+ s = one+z*(S01+z*(S02+z*(S03+z*S04)));
+#else
+ r1 = z*R[2]; z2=z*z;
+ r2 = R[3]+z*R[4]; z4=z2*z2;
+ r = r1 + z2*r2 + z4*R[5];
+ s1 = one+z*S[1];
+ s2 = S[2]+z*S[3];
+ s = s1 + z2*s2 + z4*S[4];
+#endif
+ if(ix < 0x3FF00000) { /* |x| < 1.00 */
+ return one + z*(-0.25+(r/s));
+ } else {
+ u = 0.5*x;
+ return((one+u)*(one-u)+z*(r/s));
+ }
+}
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+U[] = {-7.38042951086872317523e-02, /* 0xBFB2E4D6, 0x99CBD01F */
+ 1.76666452509181115538e-01, /* 0x3FC69D01, 0x9DE9E3FC */
+ -1.38185671945596898896e-02, /* 0xBF8C4CE8, 0xB16CFA97 */
+ 3.47453432093683650238e-04, /* 0x3F36C54D, 0x20B29B6B */
+ -3.81407053724364161125e-06, /* 0xBECFFEA7, 0x73D25CAD */
+ 1.95590137035022920206e-08, /* 0x3E550057, 0x3B4EABD4 */
+ -3.98205194132103398453e-11}, /* 0xBDC5E43D, 0x693FB3C8 */
+V[] = {1.27304834834123699328e-02, /* 0x3F8A1270, 0x91C9C71A */
+ 7.60068627350353253702e-05, /* 0x3F13ECBB, 0xF578C6C1 */
+ 2.59150851840457805467e-07, /* 0x3E91642D, 0x7FF202FD */
+ 4.41110311332675467403e-10}; /* 0x3DFE5018, 0x3BD6D9EF */
+
+#ifdef __STDC__
+ double __ieee754_y0(double x)
+#else
+ double __ieee754_y0(x)
+ double x;
+#endif
+{
+ double z, s,c,ss,cc,u,v,z2,z4,z6,u1,u2,u3,v1,v2;
+ int32_t hx,ix,lx;
+
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ /* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0 */
+ if(ix>=0x7ff00000) return one/(x+x*x);
+ if((ix|lx)==0) return -one/zero;
+ if(hx<0) return zero/zero;
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0))
+ * where x0 = x-pi/4
+ * Better formula:
+ * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
+ * = 1/sqrt(2) * (sin(x) + cos(x))
+ * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.
+ */
+ s = __sin(x);
+ c = __cos(x);
+ ss = s-c;
+ cc = s+c;
+ /*
+ * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+ * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+ */
+ if(ix<0x7fe00000) { /* make sure x+x not overflow */
+ z = -__cos(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ if(ix>0x48000000) z = (invsqrtpi*ss)/__sqrt(x);
+ else {
+ u = pzero(x); v = qzero(x);
+ z = invsqrtpi*(u*ss+v*cc)/__sqrt(x);
+ }
+ return z;
+ }
+ if(ix<=0x3e400000) { /* x < 2**-27 */
+ return(U[0] + tpi*__ieee754_log(x));
+ }
+ z = x*x;
+#ifdef DO_NOT_USE_THIS
+ u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06)))));
+ v = one+z*(v01+z*(v02+z*(v03+z*v04)));
+#else
+ u1 = U[0]+z*U[1]; z2=z*z;
+ u2 = U[2]+z*U[3]; z4=z2*z2;
+ u3 = U[4]+z*U[5]; z6=z4*z2;
+ u = u1 + z2*u2 + z4*u3 + z6*U[6];
+ v1 = one+z*V[0];
+ v2 = V[1]+z*V[2];
+ v = v1 + z2*v2 + z4*V[3];
+#endif
+ return(u/v + tpi*(__ieee754_j0(x)*__ieee754_log(x)));
+}
+
+/* The asymptotic expansions of pzero is
+ * 1 - 9/128 s^2 + 11025/98304 s^4 - ..., where s = 1/x.
+ * For x >= 2, We approximate pzero by
+ * pzero(x) = 1 + (R/S)
+ * where R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10
+ * S = 1 + pS0*s^2 + ... + pS4*s^10
+ * and
+ * | pzero(x)-1-R/S | <= 2 ** ( -60.26)
+ */
+#ifdef __STDC__
+static const double pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static double pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+ -7.03124999999900357484e-02, /* 0xBFB1FFFF, 0xFFFFFD32 */
+ -8.08167041275349795626e+00, /* 0xC02029D0, 0xB44FA779 */
+ -2.57063105679704847262e+02, /* 0xC0701102, 0x7B19E863 */
+ -2.48521641009428822144e+03, /* 0xC0A36A6E, 0xCD4DCAFC */
+ -5.25304380490729545272e+03, /* 0xC0B4850B, 0x36CC643D */
+};
+#ifdef __STDC__
+static const double pS8[5] = {
+#else
+static double pS8[5] = {
+#endif
+ 1.16534364619668181717e+02, /* 0x405D2233, 0x07A96751 */
+ 3.83374475364121826715e+03, /* 0x40ADF37D, 0x50596938 */
+ 4.05978572648472545552e+04, /* 0x40E3D2BB, 0x6EB6B05F */
+ 1.16752972564375915681e+05, /* 0x40FC810F, 0x8F9FA9BD */
+ 4.76277284146730962675e+04, /* 0x40E74177, 0x4F2C49DC */
+};
+
+#ifdef __STDC__
+static const double pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static double pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ -1.14125464691894502584e-11, /* 0xBDA918B1, 0x47E495CC */
+ -7.03124940873599280078e-02, /* 0xBFB1FFFF, 0xE69AFBC6 */
+ -4.15961064470587782438e+00, /* 0xC010A370, 0xF90C6BBF */
+ -6.76747652265167261021e+01, /* 0xC050EB2F, 0x5A7D1783 */
+ -3.31231299649172967747e+02, /* 0xC074B3B3, 0x6742CC63 */
+ -3.46433388365604912451e+02, /* 0xC075A6EF, 0x28A38BD7 */
+};
+#ifdef __STDC__
+static const double pS5[5] = {
+#else
+static double pS5[5] = {
+#endif
+ 6.07539382692300335975e+01, /* 0x404E6081, 0x0C98C5DE */
+ 1.05125230595704579173e+03, /* 0x40906D02, 0x5C7E2864 */
+ 5.97897094333855784498e+03, /* 0x40B75AF8, 0x8FBE1D60 */
+ 9.62544514357774460223e+03, /* 0x40C2CCB8, 0xFA76FA38 */
+ 2.40605815922939109441e+03, /* 0x40A2CC1D, 0xC70BE864 */
+};
+
+#ifdef __STDC__
+static const double pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#else
+static double pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ -2.54704601771951915620e-09, /* 0xBE25E103, 0x6FE1AA86 */
+ -7.03119616381481654654e-02, /* 0xBFB1FFF6, 0xF7C0E24B */
+ -2.40903221549529611423e+00, /* 0xC00345B2, 0xAEA48074 */
+ -2.19659774734883086467e+01, /* 0xC035F74A, 0x4CB94E14 */
+ -5.80791704701737572236e+01, /* 0xC04D0A22, 0x420A1A45 */
+ -3.14479470594888503854e+01, /* 0xC03F72AC, 0xA892D80F */
+};
+#ifdef __STDC__
+static const double pS3[5] = {
+#else
+static double pS3[5] = {
+#endif
+ 3.58560338055209726349e+01, /* 0x4041ED92, 0x84077DD3 */
+ 3.61513983050303863820e+02, /* 0x40769839, 0x464A7C0E */
+ 1.19360783792111533330e+03, /* 0x4092A66E, 0x6D1061D6 */
+ 1.12799679856907414432e+03, /* 0x40919FFC, 0xB8C39B7E */
+ 1.73580930813335754692e+02, /* 0x4065B296, 0xFC379081 */
+};
+
+#ifdef __STDC__
+static const double pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static double pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ -8.87534333032526411254e-08, /* 0xBE77D316, 0xE927026D */
+ -7.03030995483624743247e-02, /* 0xBFB1FF62, 0x495E1E42 */
+ -1.45073846780952986357e+00, /* 0xBFF73639, 0x8A24A843 */
+ -7.63569613823527770791e+00, /* 0xC01E8AF3, 0xEDAFA7F3 */
+ -1.11931668860356747786e+01, /* 0xC02662E6, 0xC5246303 */
+ -3.23364579351335335033e+00, /* 0xC009DE81, 0xAF8FE70F */
+};
+#ifdef __STDC__
+static const double pS2[5] = {
+#else
+static double pS2[5] = {
+#endif
+ 2.22202997532088808441e+01, /* 0x40363865, 0x908B5959 */
+ 1.36206794218215208048e+02, /* 0x4061069E, 0x0EE8878F */
+ 2.70470278658083486789e+02, /* 0x4070E786, 0x42EA079B */
+ 1.53875394208320329881e+02, /* 0x40633C03, 0x3AB6FAFF */
+ 1.46576176948256193810e+01, /* 0x402D50B3, 0x44391809 */
+};
+
+#ifdef __STDC__
+ static double pzero(double x)
+#else
+ static double pzero(x)
+ double x;
+#endif
+{
+#ifdef __STDC__
+ const double *p,*q;
+#else
+ double *p,*q;
+#endif
+ double z,r,s,z2,z4,r1,r2,r3,s1,s2,s3;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x40200000) {p = pR8; q= pS8;}
+ else if(ix>=0x40122E8B){p = pR5; q= pS5;}
+ else if(ix>=0x4006DB6D){p = pR3; q= pS3;}
+ else if(ix>=0x40000000){p = pR2; q= pS2;}
+ z = one/(x*x);
+#ifdef DO_NOT_USE_THIS
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+#else
+ r1 = p[0]+z*p[1]; z2=z*z;
+ r2 = p[2]+z*p[3]; z4=z2*z2;
+ r3 = p[4]+z*p[5];
+ r = r1 + z2*r2 + z4*r3;
+ s1 = one+z*q[0];
+ s2 = q[1]+z*q[2];
+ s3 = q[3]+z*q[4];
+ s = s1 + z2*s2 + z4*s3;
+#endif
+ return one+ r/s;
+}
+
+
+/* For x >= 8, the asymptotic expansions of qzero is
+ * -1/8 s + 75/1024 s^3 - ..., where s = 1/x.
+ * We approximate pzero by
+ * qzero(x) = s*(-1.25 + (R/S))
+ * where R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10
+ * S = 1 + qS0*s^2 + ... + qS5*s^12
+ * and
+ * | qzero(x)/s +1.25-R/S | <= 2 ** ( -61.22)
+ */
+#ifdef __STDC__
+static const double qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static double qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+ 7.32421874999935051953e-02, /* 0x3FB2BFFF, 0xFFFFFE2C */
+ 1.17682064682252693899e+01, /* 0x40278952, 0x5BB334D6 */
+ 5.57673380256401856059e+02, /* 0x40816D63, 0x15301825 */
+ 8.85919720756468632317e+03, /* 0x40C14D99, 0x3E18F46D */
+ 3.70146267776887834771e+04, /* 0x40E212D4, 0x0E901566 */
+};
+#ifdef __STDC__
+static const double qS8[6] = {
+#else
+static double qS8[6] = {
+#endif
+ 1.63776026895689824414e+02, /* 0x406478D5, 0x365B39BC */
+ 8.09834494656449805916e+03, /* 0x40BFA258, 0x4E6B0563 */
+ 1.42538291419120476348e+05, /* 0x41016652, 0x54D38C3F */
+ 8.03309257119514397345e+05, /* 0x412883DA, 0x83A52B43 */
+ 8.40501579819060512818e+05, /* 0x4129A66B, 0x28DE0B3D */
+ -3.43899293537866615225e+05, /* 0xC114FD6D, 0x2C9530C5 */
+};
+
+#ifdef __STDC__
+static const double qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static double qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ 1.84085963594515531381e-11, /* 0x3DB43D8F, 0x29CC8CD9 */
+ 7.32421766612684765896e-02, /* 0x3FB2BFFF, 0xD172B04C */
+ 5.83563508962056953777e+00, /* 0x401757B0, 0xB9953DD3 */
+ 1.35111577286449829671e+02, /* 0x4060E392, 0x0A8788E9 */
+ 1.02724376596164097464e+03, /* 0x40900CF9, 0x9DC8C481 */
+ 1.98997785864605384631e+03, /* 0x409F17E9, 0x53C6E3A6 */
+};
+#ifdef __STDC__
+static const double qS5[6] = {
+#else
+static double qS5[6] = {
+#endif
+ 8.27766102236537761883e+01, /* 0x4054B1B3, 0xFB5E1543 */
+ 2.07781416421392987104e+03, /* 0x40A03BA0, 0xDA21C0CE */
+ 1.88472887785718085070e+04, /* 0x40D267D2, 0x7B591E6D */
+ 5.67511122894947329769e+04, /* 0x40EBB5E3, 0x97E02372 */
+ 3.59767538425114471465e+04, /* 0x40E19118, 0x1F7A54A0 */
+ -5.35434275601944773371e+03, /* 0xC0B4EA57, 0xBEDBC609 */
+};
+
+#ifdef __STDC__
+static const double qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#else
+static double qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ 4.37741014089738620906e-09, /* 0x3E32CD03, 0x6ADECB82 */
+ 7.32411180042911447163e-02, /* 0x3FB2BFEE, 0x0E8D0842 */
+ 3.34423137516170720929e+00, /* 0x400AC0FC, 0x61149CF5 */
+ 4.26218440745412650017e+01, /* 0x40454F98, 0x962DAEDD */
+ 1.70808091340565596283e+02, /* 0x406559DB, 0xE25EFD1F */
+ 1.66733948696651168575e+02, /* 0x4064D77C, 0x81FA21E0 */
+};
+#ifdef __STDC__
+static const double qS3[6] = {
+#else
+static double qS3[6] = {
+#endif
+ 4.87588729724587182091e+01, /* 0x40486122, 0xBFE343A6 */
+ 7.09689221056606015736e+02, /* 0x40862D83, 0x86544EB3 */
+ 3.70414822620111362994e+03, /* 0x40ACF04B, 0xE44DFC63 */
+ 6.46042516752568917582e+03, /* 0x40B93C6C, 0xD7C76A28 */
+ 2.51633368920368957333e+03, /* 0x40A3A8AA, 0xD94FB1C0 */
+ -1.49247451836156386662e+02, /* 0xC062A7EB, 0x201CF40F */
+};
+
+#ifdef __STDC__
+static const double qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static double qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ 1.50444444886983272379e-07, /* 0x3E84313B, 0x54F76BDB */
+ 7.32234265963079278272e-02, /* 0x3FB2BEC5, 0x3E883E34 */
+ 1.99819174093815998816e+00, /* 0x3FFFF897, 0xE727779C */
+ 1.44956029347885735348e+01, /* 0x402CFDBF, 0xAAF96FE5 */
+ 3.16662317504781540833e+01, /* 0x403FAA8E, 0x29FBDC4A */
+ 1.62527075710929267416e+01, /* 0x403040B1, 0x71814BB4 */
+};
+#ifdef __STDC__
+static const double qS2[6] = {
+#else
+static double qS2[6] = {
+#endif
+ 3.03655848355219184498e+01, /* 0x403E5D96, 0xF7C07AED */
+ 2.69348118608049844624e+02, /* 0x4070D591, 0xE4D14B40 */
+ 8.44783757595320139444e+02, /* 0x408A6645, 0x22B3BF22 */
+ 8.82935845112488550512e+02, /* 0x408B977C, 0x9C5CC214 */
+ 2.12666388511798828631e+02, /* 0x406A9553, 0x0E001365 */
+ -5.31095493882666946917e+00, /* 0xC0153E6A, 0xF8B32931 */
+};
+
+#ifdef __STDC__
+ static double qzero(double x)
+#else
+ static double qzero(x)
+ double x;
+#endif
+{
+#ifdef __STDC__
+ const double *p,*q;
+#else
+ double *p,*q;
+#endif
+ double s,r,z,z2,z4,z6,r1,r2,r3,s1,s2,s3;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x40200000) {p = qR8; q= qS8;}
+ else if(ix>=0x40122E8B){p = qR5; q= qS5;}
+ else if(ix>=0x4006DB6D){p = qR3; q= qS3;}
+ else if(ix>=0x40000000){p = qR2; q= qS2;}
+ z = one/(x*x);
+#ifdef DO_NOT_USE_THIS
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+#else
+ r1 = p[0]+z*p[1]; z2=z*z;
+ r2 = p[2]+z*p[3]; z4=z2*z2;
+ r3 = p[4]+z*p[5]; z6=z4*z2;
+ r= r1 + z2*r2 + z4*r3;
+ s1 = one+z*q[0];
+ s2 = q[1]+z*q[2];
+ s3 = q[3]+z*q[4];
+ s = s1 + z2*s2 + z4*s3 +z6*q[5];
+#endif
+ return (-.125 + r/s)/x;
+}
diff --git a/sysdeps/ieee754/dbl-64/e_j1.c b/sysdeps/ieee754/dbl-64/e_j1.c
new file mode 100644
index 0000000..daf025f
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_j1.c
@@ -0,0 +1,532 @@
+/* @(#)e_j1.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/26,
+ for performance improvement on pipelined processors.
+*/
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_j1.c,v 1.8 1995/05/10 20:45:27 jtc Exp $";
+#endif
+
+/* __ieee754_j1(x), __ieee754_y1(x)
+ * Bessel function of the first and second kinds of order zero.
+ * Method -- j1(x):
+ * 1. For tiny x, we use j1(x) = x/2 - x^3/16 + x^5/384 - ...
+ * 2. Reduce x to |x| since j1(x)=-j1(-x), and
+ * for x in (0,2)
+ * j1(x) = x/2 + x*z*R0/S0, where z = x*x;
+ * (precision: |j1/x - 1/2 - R0/S0 |<2**-61.51 )
+ * for x in (2,inf)
+ * j1(x) = sqrt(2/(pi*x))*(p1(x)*cos(x1)-q1(x)*sin(x1))
+ * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1))
+ * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1)
+ * as follow:
+ * cos(x1) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * sin(x1) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = -1/sqrt(2) * (sin(x) + cos(x))
+ * (To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.)
+ *
+ * 3 Special cases
+ * j1(nan)= nan
+ * j1(0) = 0
+ * j1(inf) = 0
+ *
+ * Method -- y1(x):
+ * 1. screen out x<=0 cases: y1(0)=-inf, y1(x<0)=NaN
+ * 2. For x<2.
+ * Since
+ * y1(x) = 2/pi*(j1(x)*(ln(x/2)+Euler)-1/x-x/2+5/64*x^3-...)
+ * therefore y1(x)-2/pi*j1(x)*ln(x)-1/x is an odd function.
+ * We use the following function to approximate y1,
+ * y1(x) = x*U(z)/V(z) + (2/pi)*(j1(x)*ln(x)-1/x), z= x^2
+ * where for x in [0,2] (abs err less than 2**-65.89)
+ * U(z) = U0[0] + U0[1]*z + ... + U0[4]*z^4
+ * V(z) = 1 + v0[0]*z + ... + v0[4]*z^5
+ * Note: For tiny x, 1/x dominate y1 and hence
+ * y1(tiny) = -2/pi/tiny, (choose tiny<2**-54)
+ * 3. For x>=2.
+ * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1))
+ * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1)
+ * by method mentioned above.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static double pone(double), qone(double);
+#else
+static double pone(), qone();
+#endif
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+huge = 1e300,
+one = 1.0,
+invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
+tpi = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+ /* R0/S0 on [0,2] */
+R[] = {-6.25000000000000000000e-02, /* 0xBFB00000, 0x00000000 */
+ 1.40705666955189706048e-03, /* 0x3F570D9F, 0x98472C61 */
+ -1.59955631084035597520e-05, /* 0xBEF0C5C6, 0xBA169668 */
+ 4.96727999609584448412e-08}, /* 0x3E6AAAFA, 0x46CA0BD9 */
+S[] = {0.0, 1.91537599538363460805e-02, /* 0x3F939D0B, 0x12637E53 */
+ 1.85946785588630915560e-04, /* 0x3F285F56, 0xB9CDF664 */
+ 1.17718464042623683263e-06, /* 0x3EB3BFF8, 0x333F8498 */
+ 5.04636257076217042715e-09, /* 0x3E35AC88, 0xC97DFF2C */
+ 1.23542274426137913908e-11}; /* 0x3DAB2ACF, 0xCFB97ED8 */
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_j1(double x)
+#else
+ double __ieee754_j1(x)
+ double x;
+#endif
+{
+ double z, s,c,ss,cc,r,u,v,y,r1,r2,s1,s2,s3,z2,z4;
+ int32_t hx,ix;
+
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return one/x;
+ y = fabs(x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = __sin(y);
+ c = __cos(y);
+ ss = -s-c;
+ cc = s-c;
+ if(ix<0x7fe00000) { /* make sure y+y not overflow */
+ z = __cos(y+y);
+ if ((s*c)>zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /*
+ * j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x)
+ * y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x)
+ */
+ if(ix>0x48000000) z = (invsqrtpi*cc)/__sqrt(y);
+ else {
+ u = pone(y); v = qone(y);
+ z = invsqrtpi*(u*cc-v*ss)/__sqrt(y);
+ }
+ if(hx<0) return -z;
+ else return z;
+ }
+ if(ix<0x3e400000) { /* |x|<2**-27 */
+ if(huge+x>one) return 0.5*x;/* inexact if x!=0 necessary */
+ }
+ z = x*x;
+#ifdef DO_NOT_USE_THIS
+ r = z*(r00+z*(r01+z*(r02+z*r03)));
+ s = one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
+ r *= x;
+#else
+ r1 = z*R[0]; z2=z*z;
+ r2 = R[1]+z*R[2]; z4=z2*z2;
+ r = r1 + z2*r2 + z4*R[3];
+ r *= x;
+ s1 = one+z*S[1];
+ s2 = S[2]+z*S[3];
+ s3 = S[4]+z*S[5];
+ s = s1 + z2*s2 + z4*s3;
+#endif
+ return(x*0.5+r/s);
+}
+
+#ifdef __STDC__
+static const double U0[5] = {
+#else
+static double U0[5] = {
+#endif
+ -1.96057090646238940668e-01, /* 0xBFC91866, 0x143CBC8A */
+ 5.04438716639811282616e-02, /* 0x3FA9D3C7, 0x76292CD1 */
+ -1.91256895875763547298e-03, /* 0xBF5F55E5, 0x4844F50F */
+ 2.35252600561610495928e-05, /* 0x3EF8AB03, 0x8FA6B88E */
+ -9.19099158039878874504e-08, /* 0xBE78AC00, 0x569105B8 */
+};
+#ifdef __STDC__
+static const double V0[5] = {
+#else
+static double V0[5] = {
+#endif
+ 1.99167318236649903973e-02, /* 0x3F94650D, 0x3F4DA9F0 */
+ 2.02552581025135171496e-04, /* 0x3F2A8C89, 0x6C257764 */
+ 1.35608801097516229404e-06, /* 0x3EB6C05A, 0x894E8CA6 */
+ 6.22741452364621501295e-09, /* 0x3E3ABF1D, 0x5BA69A86 */
+ 1.66559246207992079114e-11, /* 0x3DB25039, 0xDACA772A */
+};
+
+#ifdef __STDC__
+ double __ieee754_y1(double x)
+#else
+ double __ieee754_y1(x)
+ double x;
+#endif
+{
+ double z, s,c,ss,cc,u,v,u1,u2,v1,v2,v3,z2,z4;
+ int32_t hx,ix,lx;
+
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ /* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */
+ if(ix>=0x7ff00000) return one/(x+x*x);
+ if((ix|lx)==0) return -one/zero;
+ if(hx<0) return zero/zero;
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = __sin(x);
+ c = __cos(x);
+ ss = -s-c;
+ cc = s-c;
+ if(ix<0x7fe00000) { /* make sure x+x not overflow */
+ z = __cos(x+x);
+ if ((s*c)>zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /* y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x0)+q1(x)*cos(x0))
+ * where x0 = x-3pi/4
+ * Better formula:
+ * cos(x0) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = -1/sqrt(2) * (cos(x) + sin(x))
+ * To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.
+ */
+ if(ix>0x48000000) z = (invsqrtpi*ss)/__sqrt(x);
+ else {
+ u = pone(x); v = qone(x);
+ z = invsqrtpi*(u*ss+v*cc)/__sqrt(x);
+ }
+ return z;
+ }
+ if(ix<=0x3c900000) { /* x < 2**-54 */
+ return(-tpi/x);
+ }
+ z = x*x;
+#ifdef DO_NOT_USE_THIS
+ u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4])));
+ v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
+#else
+ u1 = U0[0]+z*U0[1];z2=z*z;
+ u2 = U0[2]+z*U0[3];z4=z2*z2;
+ u = u1 + z2*u2 + z4*U0[4];
+ v1 = one+z*V0[0];
+ v2 = V0[1]+z*V0[2];
+ v3 = V0[3]+z*V0[4];
+ v = v1 + z2*v2 + z4*v3;
+#endif
+ return(x*(u/v) + tpi*(__ieee754_j1(x)*__ieee754_log(x)-one/x));
+}
+
+/* For x >= 8, the asymptotic expansions of pone is
+ * 1 + 15/128 s^2 - 4725/2^15 s^4 - ..., where s = 1/x.
+ * We approximate pone by
+ * pone(x) = 1 + (R/S)
+ * where R = pr0 + pr1*s^2 + pr2*s^4 + ... + pr5*s^10
+ * S = 1 + ps0*s^2 + ... + ps4*s^10
+ * and
+ * | pone(x)-1-R/S | <= 2 ** ( -60.06)
+ */
+
+#ifdef __STDC__
+static const double pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static double pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+ 1.17187499999988647970e-01, /* 0x3FBDFFFF, 0xFFFFFCCE */
+ 1.32394806593073575129e+01, /* 0x402A7A9D, 0x357F7FCE */
+ 4.12051854307378562225e+02, /* 0x4079C0D4, 0x652EA590 */
+ 3.87474538913960532227e+03, /* 0x40AE457D, 0xA3A532CC */
+ 7.91447954031891731574e+03, /* 0x40BEEA7A, 0xC32782DD */
+};
+#ifdef __STDC__
+static const double ps8[5] = {
+#else
+static double ps8[5] = {
+#endif
+ 1.14207370375678408436e+02, /* 0x405C8D45, 0x8E656CAC */
+ 3.65093083420853463394e+03, /* 0x40AC85DC, 0x964D274F */
+ 3.69562060269033463555e+04, /* 0x40E20B86, 0x97C5BB7F */
+ 9.76027935934950801311e+04, /* 0x40F7D42C, 0xB28F17BB */
+ 3.08042720627888811578e+04, /* 0x40DE1511, 0x697A0B2D */
+};
+
+#ifdef __STDC__
+static const double pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static double pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ 1.31990519556243522749e-11, /* 0x3DAD0667, 0xDAE1CA7D */
+ 1.17187493190614097638e-01, /* 0x3FBDFFFF, 0xE2C10043 */
+ 6.80275127868432871736e+00, /* 0x401B3604, 0x6E6315E3 */
+ 1.08308182990189109773e+02, /* 0x405B13B9, 0x452602ED */
+ 5.17636139533199752805e+02, /* 0x40802D16, 0xD052D649 */
+ 5.28715201363337541807e+02, /* 0x408085B8, 0xBB7E0CB7 */
+};
+#ifdef __STDC__
+static const double ps5[5] = {
+#else
+static double ps5[5] = {
+#endif
+ 5.92805987221131331921e+01, /* 0x404DA3EA, 0xA8AF633D */
+ 9.91401418733614377743e+02, /* 0x408EFB36, 0x1B066701 */
+ 5.35326695291487976647e+03, /* 0x40B4E944, 0x5706B6FB */
+ 7.84469031749551231769e+03, /* 0x40BEA4B0, 0xB8A5BB15 */
+ 1.50404688810361062679e+03, /* 0x40978030, 0x036F5E51 */
+};
+
+#ifdef __STDC__
+static const double pr3[6] = {
+#else
+static double pr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ 3.02503916137373618024e-09, /* 0x3E29FC21, 0xA7AD9EDD */
+ 1.17186865567253592491e-01, /* 0x3FBDFFF5, 0x5B21D17B */
+ 3.93297750033315640650e+00, /* 0x400F76BC, 0xE85EAD8A */
+ 3.51194035591636932736e+01, /* 0x40418F48, 0x9DA6D129 */
+ 9.10550110750781271918e+01, /* 0x4056C385, 0x4D2C1837 */
+ 4.85590685197364919645e+01, /* 0x4048478F, 0x8EA83EE5 */
+};
+#ifdef __STDC__
+static const double ps3[5] = {
+#else
+static double ps3[5] = {
+#endif
+ 3.47913095001251519989e+01, /* 0x40416549, 0xA134069C */
+ 3.36762458747825746741e+02, /* 0x40750C33, 0x07F1A75F */
+ 1.04687139975775130551e+03, /* 0x40905B7C, 0x5037D523 */
+ 8.90811346398256432622e+02, /* 0x408BD67D, 0xA32E31E9 */
+ 1.03787932439639277504e+02, /* 0x4059F26D, 0x7C2EED53 */
+};
+
+#ifdef __STDC__
+static const double pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static double pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ 1.07710830106873743082e-07, /* 0x3E7CE9D4, 0xF65544F4 */
+ 1.17176219462683348094e-01, /* 0x3FBDFF42, 0xBE760D83 */
+ 2.36851496667608785174e+00, /* 0x4002F2B7, 0xF98FAEC0 */
+ 1.22426109148261232917e+01, /* 0x40287C37, 0x7F71A964 */
+ 1.76939711271687727390e+01, /* 0x4031B1A8, 0x177F8EE2 */
+ 5.07352312588818499250e+00, /* 0x40144B49, 0xA574C1FE */
+};
+#ifdef __STDC__
+static const double ps2[5] = {
+#else
+static double ps2[5] = {
+#endif
+ 2.14364859363821409488e+01, /* 0x40356FBD, 0x8AD5ECDC */
+ 1.25290227168402751090e+02, /* 0x405F5293, 0x14F92CD5 */
+ 2.32276469057162813669e+02, /* 0x406D08D8, 0xD5A2DBD9 */
+ 1.17679373287147100768e+02, /* 0x405D6B7A, 0xDA1884A9 */
+ 8.36463893371618283368e+00, /* 0x4020BAB1, 0xF44E5192 */
+};
+
+#ifdef __STDC__
+ static double pone(double x)
+#else
+ static double pone(x)
+ double x;
+#endif
+{
+#ifdef __STDC__
+ const double *p,*q;
+#else
+ double *p,*q;
+#endif
+ double z,r,s,r1,r2,r3,s1,s2,s3,z2,z4;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x40200000) {p = pr8; q= ps8;}
+ else if(ix>=0x40122E8B){p = pr5; q= ps5;}
+ else if(ix>=0x4006DB6D){p = pr3; q= ps3;}
+ else if(ix>=0x40000000){p = pr2; q= ps2;}
+ z = one/(x*x);
+#ifdef DO_NOT_USE_THIS
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+#else
+ r1 = p[0]+z*p[1]; z2=z*z;
+ r2 = p[2]+z*p[3]; z4=z2*z2;
+ r3 = p[4]+z*p[5];
+ r = r1 + z2*r2 + z4*r3;
+ s1 = one+z*q[0];
+ s2 = q[1]+z*q[2];
+ s3 = q[3]+z*q[4];
+ s = s1 + z2*s2 + z4*s3;
+#endif
+ return one+ r/s;
+}
+
+
+/* For x >= 8, the asymptotic expansions of qone is
+ * 3/8 s - 105/1024 s^3 - ..., where s = 1/x.
+ * We approximate pone by
+ * qone(x) = s*(0.375 + (R/S))
+ * where R = qr1*s^2 + qr2*s^4 + ... + qr5*s^10
+ * S = 1 + qs1*s^2 + ... + qs6*s^12
+ * and
+ * | qone(x)/s -0.375-R/S | <= 2 ** ( -61.13)
+ */
+
+#ifdef __STDC__
+static const double qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static double qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+ -1.02539062499992714161e-01, /* 0xBFBA3FFF, 0xFFFFFDF3 */
+ -1.62717534544589987888e+01, /* 0xC0304591, 0xA26779F7 */
+ -7.59601722513950107896e+02, /* 0xC087BCD0, 0x53E4B576 */
+ -1.18498066702429587167e+04, /* 0xC0C724E7, 0x40F87415 */
+ -4.84385124285750353010e+04, /* 0xC0E7A6D0, 0x65D09C6A */
+};
+#ifdef __STDC__
+static const double qs8[6] = {
+#else
+static double qs8[6] = {
+#endif
+ 1.61395369700722909556e+02, /* 0x40642CA6, 0xDE5BCDE5 */
+ 7.82538599923348465381e+03, /* 0x40BE9162, 0xD0D88419 */
+ 1.33875336287249578163e+05, /* 0x4100579A, 0xB0B75E98 */
+ 7.19657723683240939863e+05, /* 0x4125F653, 0x72869C19 */
+ 6.66601232617776375264e+05, /* 0x412457D2, 0x7719AD5C */
+ -2.94490264303834643215e+05, /* 0xC111F969, 0x0EA5AA18 */
+};
+
+#ifdef __STDC__
+static const double qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static double qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ -2.08979931141764104297e-11, /* 0xBDB6FA43, 0x1AA1A098 */
+ -1.02539050241375426231e-01, /* 0xBFBA3FFF, 0xCB597FEF */
+ -8.05644828123936029840e+00, /* 0xC0201CE6, 0xCA03AD4B */
+ -1.83669607474888380239e+02, /* 0xC066F56D, 0x6CA7B9B0 */
+ -1.37319376065508163265e+03, /* 0xC09574C6, 0x6931734F */
+ -2.61244440453215656817e+03, /* 0xC0A468E3, 0x88FDA79D */
+};
+#ifdef __STDC__
+static const double qs5[6] = {
+#else
+static double qs5[6] = {
+#endif
+ 8.12765501384335777857e+01, /* 0x405451B2, 0xFF5A11B2 */
+ 1.99179873460485964642e+03, /* 0x409F1F31, 0xE77BF839 */
+ 1.74684851924908907677e+04, /* 0x40D10F1F, 0x0D64CE29 */
+ 4.98514270910352279316e+04, /* 0x40E8576D, 0xAABAD197 */
+ 2.79480751638918118260e+04, /* 0x40DB4B04, 0xCF7C364B */
+ -4.71918354795128470869e+03, /* 0xC0B26F2E, 0xFCFFA004 */
+};
+
+#ifdef __STDC__
+static const double qr3[6] = {
+#else
+static double qr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ -5.07831226461766561369e-09, /* 0xBE35CFA9, 0xD38FC84F */
+ -1.02537829820837089745e-01, /* 0xBFBA3FEB, 0x51AEED54 */
+ -4.61011581139473403113e+00, /* 0xC01270C2, 0x3302D9FF */
+ -5.78472216562783643212e+01, /* 0xC04CEC71, 0xC25D16DA */
+ -2.28244540737631695038e+02, /* 0xC06C87D3, 0x4718D55F */
+ -2.19210128478909325622e+02, /* 0xC06B66B9, 0x5F5C1BF6 */
+};
+#ifdef __STDC__
+static const double qs3[6] = {
+#else
+static double qs3[6] = {
+#endif
+ 4.76651550323729509273e+01, /* 0x4047D523, 0xCCD367E4 */
+ 6.73865112676699709482e+02, /* 0x40850EEB, 0xC031EE3E */
+ 3.38015286679526343505e+03, /* 0x40AA684E, 0x448E7C9A */
+ 5.54772909720722782367e+03, /* 0x40B5ABBA, 0xA61D54A6 */
+ 1.90311919338810798763e+03, /* 0x409DBC7A, 0x0DD4DF4B */
+ -1.35201191444307340817e+02, /* 0xC060E670, 0x290A311F */
+};
+
+#ifdef __STDC__
+static const double qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static double qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ -1.78381727510958865572e-07, /* 0xBE87F126, 0x44C626D2 */
+ -1.02517042607985553460e-01, /* 0xBFBA3E8E, 0x9148B010 */
+ -2.75220568278187460720e+00, /* 0xC0060484, 0x69BB4EDA */
+ -1.96636162643703720221e+01, /* 0xC033A9E2, 0xC168907F */
+ -4.23253133372830490089e+01, /* 0xC04529A3, 0xDE104AAA */
+ -2.13719211703704061733e+01, /* 0xC0355F36, 0x39CF6E52 */
+};
+#ifdef __STDC__
+static const double qs2[6] = {
+#else
+static double qs2[6] = {
+#endif
+ 2.95333629060523854548e+01, /* 0x403D888A, 0x78AE64FF */
+ 2.52981549982190529136e+02, /* 0x406F9F68, 0xDB821CBA */
+ 7.57502834868645436472e+02, /* 0x4087AC05, 0xCE49A0F7 */
+ 7.39393205320467245656e+02, /* 0x40871B25, 0x48D4C029 */
+ 1.55949003336666123687e+02, /* 0x40637E5E, 0x3C3ED8D4 */
+ -4.95949898822628210127e+00, /* 0xC013D686, 0xE71BE86B */
+};
+
+#ifdef __STDC__
+ static double qone(double x)
+#else
+ static double qone(x)
+ double x;
+#endif
+{
+#ifdef __STDC__
+ const double *p,*q;
+#else
+ double *p,*q;
+#endif
+ double s,r,z,r1,r2,r3,s1,s2,s3,z2,z4,z6;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x40200000) {p = qr8; q= qs8;}
+ else if(ix>=0x40122E8B){p = qr5; q= qs5;}
+ else if(ix>=0x4006DB6D){p = qr3; q= qs3;}
+ else if(ix>=0x40000000){p = qr2; q= qs2;}
+ z = one/(x*x);
+#ifdef DO_NOT_USE_THIS
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+#else
+ r1 = p[0]+z*p[1]; z2=z*z;
+ r2 = p[2]+z*p[3]; z4=z2*z2;
+ r3 = p[4]+z*p[5]; z6=z4*z2;
+ r = r1 + z2*r2 + z4*r3;
+ s1 = one+z*q[0];
+ s2 = q[1]+z*q[2];
+ s3 = q[3]+z*q[4];
+ s = s1 + z2*s2 + z4*s3 + z6*q[5];
+#endif
+ return (.375 + r/s)/x;
+}
diff --git a/sysdeps/ieee754/dbl-64/e_jn.c b/sysdeps/ieee754/dbl-64/e_jn.c
new file mode 100644
index 0000000..d63d768
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_jn.c
@@ -0,0 +1,281 @@
+/* @(#)e_jn.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_jn.c,v 1.9 1995/05/10 20:45:34 jtc Exp $";
+#endif
+
+/*
+ * __ieee754_jn(n, x), __ieee754_yn(n, x)
+ * floating point Bessel's function of the 1st and 2nd kind
+ * of order n
+ *
+ * Special cases:
+ * y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal;
+ * y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal.
+ * Note 2. About jn(n,x), yn(n,x)
+ * For n=0, j0(x) is called,
+ * for n=1, j1(x) is called,
+ * for n<x, forward recursion us used starting
+ * from values of j0(x) and j1(x).
+ * for n>x, a continued fraction approximation to
+ * j(n,x)/j(n-1,x) is evaluated and then backward
+ * recursion is used starting from a supposed value
+ * for j(n,x). The resulting value of j(0,x) is
+ * compared with the actual value to correct the
+ * supposed value of j(n,x).
+ *
+ * yn(n,x) is similar in all respects, except
+ * that forward recursion is used for all
+ * values of n>1.
+ *
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
+two = 2.00000000000000000000e+00, /* 0x40000000, 0x00000000 */
+one = 1.00000000000000000000e+00; /* 0x3FF00000, 0x00000000 */
+
+#ifdef __STDC__
+static const double zero = 0.00000000000000000000e+00;
+#else
+static double zero = 0.00000000000000000000e+00;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_jn(int n, double x)
+#else
+ double __ieee754_jn(n,x)
+ int n; double x;
+#endif
+{
+ int32_t i,hx,ix,lx, sgn;
+ double a, b, temp, di;
+ double z, w;
+
+ /* J(-n,x) = (-1)^n * J(n, x), J(n, -x) = (-1)^n * J(n, x)
+ * Thus, J(-n,x) = J(n,-x)
+ */
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ /* if J(n,NaN) is NaN */
+ if((ix|((u_int32_t)(lx|-lx))>>31)>0x7ff00000) return x+x;
+ if(n<0){
+ n = -n;
+ x = -x;
+ hx ^= 0x80000000;
+ }
+ if(n==0) return(__ieee754_j0(x));
+ if(n==1) return(__ieee754_j1(x));
+ sgn = (n&1)&(hx>>31); /* even n -- 0, odd n -- sign(x) */
+ x = fabs(x);
+ if((ix|lx)==0||ix>=0x7ff00000) /* if x is 0 or inf */
+ b = zero;
+ else if((double)n<=x) {
+ /* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */
+ if(ix>=0x52D00000) { /* x > 2**302 */
+ /* (x >> n**2)
+ * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Let s=sin(x), c=cos(x),
+ * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
+ *
+ * n sin(xn)*sqt2 cos(xn)*sqt2
+ * ----------------------------------
+ * 0 s-c c+s
+ * 1 -s-c -c+s
+ * 2 -s+c -c-s
+ * 3 s+c c-s
+ */
+ switch(n&3) {
+ case 0: temp = __cos(x)+__sin(x); break;
+ case 1: temp = -__cos(x)+__sin(x); break;
+ case 2: temp = -__cos(x)-__sin(x); break;
+ case 3: temp = __cos(x)-__sin(x); break;
+ }
+ b = invsqrtpi*temp/__sqrt(x);
+ } else {
+ a = __ieee754_j0(x);
+ b = __ieee754_j1(x);
+ for(i=1;i<n;i++){
+ temp = b;
+ b = b*((double)(i+i)/x) - a; /* avoid underflow */
+ a = temp;
+ }
+ }
+ } else {
+ if(ix<0x3e100000) { /* x < 2**-29 */
+ /* x is tiny, return the first Taylor expansion of J(n,x)
+ * J(n,x) = 1/n!*(x/2)^n - ...
+ */
+ if(n>33) /* underflow */
+ b = zero;
+ else {
+ temp = x*0.5; b = temp;
+ for (a=one,i=2;i<=n;i++) {
+ a *= (double)i; /* a = n! */
+ b *= temp; /* b = (x/2)^n */
+ }
+ b = b/a;
+ }
+ } else {
+ /* use backward recurrence */
+ /* x x^2 x^2
+ * J(n,x)/J(n-1,x) = ---- ------ ------ .....
+ * 2n - 2(n+1) - 2(n+2)
+ *
+ * 1 1 1
+ * (for large x) = ---- ------ ------ .....
+ * 2n 2(n+1) 2(n+2)
+ * -- - ------ - ------ -
+ * x x x
+ *
+ * Let w = 2n/x and h=2/x, then the above quotient
+ * is equal to the continued fraction:
+ * 1
+ * = -----------------------
+ * 1
+ * w - -----------------
+ * 1
+ * w+h - ---------
+ * w+2h - ...
+ *
+ * To determine how many terms needed, let
+ * Q(0) = w, Q(1) = w(w+h) - 1,
+ * Q(k) = (w+k*h)*Q(k-1) - Q(k-2),
+ * When Q(k) > 1e4 good for single
+ * When Q(k) > 1e9 good for double
+ * When Q(k) > 1e17 good for quadruple
+ */
+ /* determine k */
+ double t,v;
+ double q0,q1,h,tmp; int32_t k,m;
+ w = (n+n)/(double)x; h = 2.0/(double)x;
+ q0 = w; z = w+h; q1 = w*z - 1.0; k=1;
+ while(q1<1.0e9) {
+ k += 1; z += h;
+ tmp = z*q1 - q0;
+ q0 = q1;
+ q1 = tmp;
+ }
+ m = n+n;
+ for(t=zero, i = 2*(n+k); i>=m; i -= 2) t = one/(i/x-t);
+ a = t;
+ b = one;
+ /* estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n)
+ * Hence, if n*(log(2n/x)) > ...
+ * single 8.8722839355e+01
+ * double 7.09782712893383973096e+02
+ * long double 1.1356523406294143949491931077970765006170e+04
+ * then recurrent value may overflow and the result is
+ * likely underflow to zero
+ */
+ tmp = n;
+ v = two/x;
+ tmp = tmp*__ieee754_log(fabs(v*tmp));
+ if(tmp<7.09782712893383973096e+02) {
+ for(i=n-1,di=(double)(i+i);i>0;i--){
+ temp = b;
+ b *= di;
+ b = b/x - a;
+ a = temp;
+ di -= two;
+ }
+ } else {
+ for(i=n-1,di=(double)(i+i);i>0;i--){
+ temp = b;
+ b *= di;
+ b = b/x - a;
+ a = temp;
+ di -= two;
+ /* scale b to avoid spurious overflow */
+ if(b>1e100) {
+ a /= b;
+ t /= b;
+ b = one;
+ }
+ }
+ }
+ b = (t*__ieee754_j0(x)/b);
+ }
+ }
+ if(sgn==1) return -b; else return b;
+}
+
+#ifdef __STDC__
+ double __ieee754_yn(int n, double x)
+#else
+ double __ieee754_yn(n,x)
+ int n; double x;
+#endif
+{
+ int32_t i,hx,ix,lx;
+ int32_t sign;
+ double a, b, temp;
+
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ /* if Y(n,NaN) is NaN */
+ if((ix|((u_int32_t)(lx|-lx))>>31)>0x7ff00000) return x+x;
+ if((ix|lx)==0) return -one/zero;
+ if(hx<0) return zero/zero;
+ sign = 1;
+ if(n<0){
+ n = -n;
+ sign = 1 - ((n&1)<<1);
+ }
+ if(n==0) return(__ieee754_y0(x));
+ if(n==1) return(sign*__ieee754_y1(x));
+ if(ix==0x7ff00000) return zero;
+ if(ix>=0x52D00000) { /* x > 2**302 */
+ /* (x >> n**2)
+ * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Let s=sin(x), c=cos(x),
+ * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
+ *
+ * n sin(xn)*sqt2 cos(xn)*sqt2
+ * ----------------------------------
+ * 0 s-c c+s
+ * 1 -s-c -c+s
+ * 2 -s+c -c-s
+ * 3 s+c c-s
+ */
+ switch(n&3) {
+ case 0: temp = __sin(x)-__cos(x); break;
+ case 1: temp = -__sin(x)-__cos(x); break;
+ case 2: temp = -__sin(x)+__cos(x); break;
+ case 3: temp = __sin(x)+__cos(x); break;
+ }
+ b = invsqrtpi*temp/__sqrt(x);
+ } else {
+ u_int32_t high;
+ a = __ieee754_y0(x);
+ b = __ieee754_y1(x);
+ /* quit if b is -inf */
+ GET_HIGH_WORD(high,b);
+ for(i=1;i<n&&high!=0xfff00000;i++){
+ temp = b;
+ b = ((double)(i+i)/x)*b - a;
+ GET_HIGH_WORD(high,b);
+ a = temp;
+ }
+ }
+ if(sign>0) return b; else return -b;
+}
diff --git a/sysdeps/ieee754/dbl-64/e_lgamma_r.c b/sysdeps/ieee754/dbl-64/e_lgamma_r.c
new file mode 100644
index 0000000..92e9556
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_lgamma_r.c
@@ -0,0 +1,314 @@
+/* @(#)er_lgamma.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_lgamma_r.c,v 1.7 1995/05/10 20:45:42 jtc Exp $";
+#endif
+
+/* __ieee754_lgamma_r(x, signgamp)
+ * Reentrant version of the logarithm of the Gamma function
+ * with user provide pointer for the sign of Gamma(x).
+ *
+ * Method:
+ * 1. Argument Reduction for 0 < x <= 8
+ * Since gamma(1+s)=s*gamma(s), for x in [0,8], we may
+ * reduce x to a number in [1.5,2.5] by
+ * lgamma(1+s) = log(s) + lgamma(s)
+ * for example,
+ * lgamma(7.3) = log(6.3) + lgamma(6.3)
+ * = log(6.3*5.3) + lgamma(5.3)
+ * = log(6.3*5.3*4.3*3.3*2.3) + lgamma(2.3)
+ * 2. Polynomial approximation of lgamma around its
+ * minimun ymin=1.461632144968362245 to maintain monotonicity.
+ * On [ymin-0.23, ymin+0.27] (i.e., [1.23164,1.73163]), use
+ * Let z = x-ymin;
+ * lgamma(x) = -1.214862905358496078218 + z^2*poly(z)
+ * where
+ * poly(z) is a 14 degree polynomial.
+ * 2. Rational approximation in the primary interval [2,3]
+ * We use the following approximation:
+ * s = x-2.0;
+ * lgamma(x) = 0.5*s + s*P(s)/Q(s)
+ * with accuracy
+ * |P/Q - (lgamma(x)-0.5s)| < 2**-61.71
+ * Our algorithms are based on the following observation
+ *
+ * zeta(2)-1 2 zeta(3)-1 3
+ * lgamma(2+s) = s*(1-Euler) + --------- * s - --------- * s + ...
+ * 2 3
+ *
+ * where Euler = 0.5771... is the Euler constant, which is very
+ * close to 0.5.
+ *
+ * 3. For x>=8, we have
+ * lgamma(x)~(x-0.5)log(x)-x+0.5*log(2pi)+1/(12x)-1/(360x**3)+....
+ * (better formula:
+ * lgamma(x)~(x-0.5)*(log(x)-1)-.5*(log(2pi)-1) + ...)
+ * Let z = 1/x, then we approximation
+ * f(z) = lgamma(x) - (x-0.5)(log(x)-1)
+ * by
+ * 3 5 11
+ * w = w0 + w1*z + w2*z + w3*z + ... + w6*z
+ * where
+ * |w - f(z)| < 2**-58.74
+ *
+ * 4. For negative x, since (G is gamma function)
+ * -x*G(-x)*G(x) = pi/sin(pi*x),
+ * we have
+ * G(x) = pi/(sin(pi*x)*(-x)*G(-x))
+ * since G(-x) is positive, sign(G(x)) = sign(sin(pi*x)) for x<0
+ * Hence, for x<0, signgam = sign(sin(pi*x)) and
+ * lgamma(x) = log(|Gamma(x)|)
+ * = log(pi/(|x*sin(pi*x)|)) - lgamma(-x);
+ * Note: one should avoid compute pi*(-x) directly in the
+ * computation of sin(pi*(-x)).
+ *
+ * 5. Special Cases
+ * lgamma(2+s) ~ s*(1-Euler) for tiny s
+ * lgamma(1)=lgamma(2)=0
+ * lgamma(x) ~ -log(x) for tiny x
+ * lgamma(0) = lgamma(inf) = inf
+ * lgamma(-integer) = +-inf
+ *
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+two52= 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
+half= 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
+a0 = 7.72156649015328655494e-02, /* 0x3FB3C467, 0xE37DB0C8 */
+a1 = 3.22467033424113591611e-01, /* 0x3FD4A34C, 0xC4A60FAD */
+a2 = 6.73523010531292681824e-02, /* 0x3FB13E00, 0x1A5562A7 */
+a3 = 2.05808084325167332806e-02, /* 0x3F951322, 0xAC92547B */
+a4 = 7.38555086081402883957e-03, /* 0x3F7E404F, 0xB68FEFE8 */
+a5 = 2.89051383673415629091e-03, /* 0x3F67ADD8, 0xCCB7926B */
+a6 = 1.19270763183362067845e-03, /* 0x3F538A94, 0x116F3F5D */
+a7 = 5.10069792153511336608e-04, /* 0x3F40B6C6, 0x89B99C00 */
+a8 = 2.20862790713908385557e-04, /* 0x3F2CF2EC, 0xED10E54D */
+a9 = 1.08011567247583939954e-04, /* 0x3F1C5088, 0x987DFB07 */
+a10 = 2.52144565451257326939e-05, /* 0x3EFA7074, 0x428CFA52 */
+a11 = 4.48640949618915160150e-05, /* 0x3F07858E, 0x90A45837 */
+tc = 1.46163214496836224576e+00, /* 0x3FF762D8, 0x6356BE3F */
+tf = -1.21486290535849611461e-01, /* 0xBFBF19B9, 0xBCC38A42 */
+/* tt = -(tail of tf) */
+tt = -3.63867699703950536541e-18, /* 0xBC50C7CA, 0xA48A971F */
+t0 = 4.83836122723810047042e-01, /* 0x3FDEF72B, 0xC8EE38A2 */
+t1 = -1.47587722994593911752e-01, /* 0xBFC2E427, 0x8DC6C509 */
+t2 = 6.46249402391333854778e-02, /* 0x3FB08B42, 0x94D5419B */
+t3 = -3.27885410759859649565e-02, /* 0xBFA0C9A8, 0xDF35B713 */
+t4 = 1.79706750811820387126e-02, /* 0x3F9266E7, 0x970AF9EC */
+t5 = -1.03142241298341437450e-02, /* 0xBF851F9F, 0xBA91EC6A */
+t6 = 6.10053870246291332635e-03, /* 0x3F78FCE0, 0xE370E344 */
+t7 = -3.68452016781138256760e-03, /* 0xBF6E2EFF, 0xB3E914D7 */
+t8 = 2.25964780900612472250e-03, /* 0x3F6282D3, 0x2E15C915 */
+t9 = -1.40346469989232843813e-03, /* 0xBF56FE8E, 0xBF2D1AF1 */
+t10 = 8.81081882437654011382e-04, /* 0x3F4CDF0C, 0xEF61A8E9 */
+t11 = -5.38595305356740546715e-04, /* 0xBF41A610, 0x9C73E0EC */
+t12 = 3.15632070903625950361e-04, /* 0x3F34AF6D, 0x6C0EBBF7 */
+t13 = -3.12754168375120860518e-04, /* 0xBF347F24, 0xECC38C38 */
+t14 = 3.35529192635519073543e-04, /* 0x3F35FD3E, 0xE8C2D3F4 */
+u0 = -7.72156649015328655494e-02, /* 0xBFB3C467, 0xE37DB0C8 */
+u1 = 6.32827064025093366517e-01, /* 0x3FE4401E, 0x8B005DFF */
+u2 = 1.45492250137234768737e+00, /* 0x3FF7475C, 0xD119BD6F */
+u3 = 9.77717527963372745603e-01, /* 0x3FEF4976, 0x44EA8450 */
+u4 = 2.28963728064692451092e-01, /* 0x3FCD4EAE, 0xF6010924 */
+u5 = 1.33810918536787660377e-02, /* 0x3F8B678B, 0xBF2BAB09 */
+v1 = 2.45597793713041134822e+00, /* 0x4003A5D7, 0xC2BD619C */
+v2 = 2.12848976379893395361e+00, /* 0x40010725, 0xA42B18F5 */
+v3 = 7.69285150456672783825e-01, /* 0x3FE89DFB, 0xE45050AF */
+v4 = 1.04222645593369134254e-01, /* 0x3FBAAE55, 0xD6537C88 */
+v5 = 3.21709242282423911810e-03, /* 0x3F6A5ABB, 0x57D0CF61 */
+s0 = -7.72156649015328655494e-02, /* 0xBFB3C467, 0xE37DB0C8 */
+s1 = 2.14982415960608852501e-01, /* 0x3FCB848B, 0x36E20878 */
+s2 = 3.25778796408930981787e-01, /* 0x3FD4D98F, 0x4F139F59 */
+s3 = 1.46350472652464452805e-01, /* 0x3FC2BB9C, 0xBEE5F2F7 */
+s4 = 2.66422703033638609560e-02, /* 0x3F9B481C, 0x7E939961 */
+s5 = 1.84028451407337715652e-03, /* 0x3F5E26B6, 0x7368F239 */
+s6 = 3.19475326584100867617e-05, /* 0x3F00BFEC, 0xDD17E945 */
+r1 = 1.39200533467621045958e+00, /* 0x3FF645A7, 0x62C4AB74 */
+r2 = 7.21935547567138069525e-01, /* 0x3FE71A18, 0x93D3DCDC */
+r3 = 1.71933865632803078993e-01, /* 0x3FC601ED, 0xCCFBDF27 */
+r4 = 1.86459191715652901344e-02, /* 0x3F9317EA, 0x742ED475 */
+r5 = 7.77942496381893596434e-04, /* 0x3F497DDA, 0xCA41A95B */
+r6 = 7.32668430744625636189e-06, /* 0x3EDEBAF7, 0xA5B38140 */
+w0 = 4.18938533204672725052e-01, /* 0x3FDACFE3, 0x90C97D69 */
+w1 = 8.33333333333329678849e-02, /* 0x3FB55555, 0x5555553B */
+w2 = -2.77777777728775536470e-03, /* 0xBF66C16C, 0x16B02E5C */
+w3 = 7.93650558643019558500e-04, /* 0x3F4A019F, 0x98CF38B6 */
+w4 = -5.95187557450339963135e-04, /* 0xBF4380CB, 0x8C0FE741 */
+w5 = 8.36339918996282139126e-04, /* 0x3F4B67BA, 0x4CDAD5D1 */
+w6 = -1.63092934096575273989e-03; /* 0xBF5AB89D, 0x0B9E43E4 */
+
+#ifdef __STDC__
+static const double zero= 0.00000000000000000000e+00;
+#else
+static double zero= 0.00000000000000000000e+00;
+#endif
+
+#ifdef __STDC__
+ static double sin_pi(double x)
+#else
+ static double sin_pi(x)
+ double x;
+#endif
+{
+ double y,z;
+ int n,ix;
+
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+
+ if(ix<0x3fd00000) return __kernel_sin(pi*x,zero,0);
+ y = -x; /* x is assume negative */
+
+ /*
+ * argument reduction, make sure inexact flag not raised if input
+ * is an integer
+ */
+ z = __floor(y);
+ if(z!=y) { /* inexact anyway */
+ y *= 0.5;
+ y = 2.0*(y - __floor(y)); /* y = |x| mod 2.0 */
+ n = (int) (y*4.0);
+ } else {
+ if(ix>=0x43400000) {
+ y = zero; n = 0; /* y must be even */
+ } else {
+ if(ix<0x43300000) z = y+two52; /* exact */
+ GET_LOW_WORD(n,z);
+ n &= 1;
+ y = n;
+ n<<= 2;
+ }
+ }
+ switch (n) {
+ case 0: y = __kernel_sin(pi*y,zero,0); break;
+ case 1:
+ case 2: y = __kernel_cos(pi*(0.5-y),zero); break;
+ case 3:
+ case 4: y = __kernel_sin(pi*(one-y),zero,0); break;
+ case 5:
+ case 6: y = -__kernel_cos(pi*(y-1.5),zero); break;
+ default: y = __kernel_sin(pi*(y-2.0),zero,0); break;
+ }
+ return -y;
+}
+
+
+#ifdef __STDC__
+ double __ieee754_lgamma_r(double x, int *signgamp)
+#else
+ double __ieee754_lgamma_r(x,signgamp)
+ double x; int *signgamp;
+#endif
+{
+ double t,y,z,nadj,p,p1,p2,p3,q,r,w;
+ int i,hx,lx,ix;
+
+ EXTRACT_WORDS(hx,lx,x);
+
+ /* purge off +-inf, NaN, +-0, and negative arguments */
+ *signgamp = 1;
+ if ((unsigned int) hx==0xfff00000&&lx==0)
+ return x-x;
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return x*x;
+ if((ix|lx)==0) return one/fabs(x);
+ if(ix<0x3b900000) { /* |x|<2**-70, return -log(|x|) */
+ if(hx<0) {
+ *signgamp = -1;
+ return -__ieee754_log(-x);
+ } else return -__ieee754_log(x);
+ }
+ if(hx<0) {
+ if(ix>=0x43300000) /* |x|>=2**52, must be -integer */
+ return x/zero;
+ t = sin_pi(x);
+ if(t==zero) return one/fabsf(t); /* -integer */
+ nadj = __ieee754_log(pi/fabs(t*x));
+ if(t<zero) *signgamp = -1;
+ x = -x;
+ }
+
+ /* purge off 1 and 2 */
+ if((((ix-0x3ff00000)|lx)==0)||(((ix-0x40000000)|lx)==0)) r = 0;
+ /* for x < 2.0 */
+ else if(ix<0x40000000) {
+ if(ix<=0x3feccccc) { /* lgamma(x) = lgamma(x+1)-log(x) */
+ r = -__ieee754_log(x);
+ if(ix>=0x3FE76944) {y = one-x; i= 0;}
+ else if(ix>=0x3FCDA661) {y= x-(tc-one); i=1;}
+ else {y = x; i=2;}
+ } else {
+ r = zero;
+ if(ix>=0x3FFBB4C3) {y=2.0-x;i=0;} /* [1.7316,2] */
+ else if(ix>=0x3FF3B4C4) {y=x-tc;i=1;} /* [1.23,1.73] */
+ else {y=x-one;i=2;}
+ }
+ switch(i) {
+ case 0:
+ z = y*y;
+ p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10))));
+ p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11)))));
+ p = y*p1+p2;
+ r += (p-0.5*y); break;
+ case 1:
+ z = y*y;
+ w = z*y;
+ p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12))); /* parallel comp */
+ p2 = t1+w*(t4+w*(t7+w*(t10+w*t13)));
+ p3 = t2+w*(t5+w*(t8+w*(t11+w*t14)));
+ p = z*p1-(tt-w*(p2+y*p3));
+ r += (tf + p); break;
+ case 2:
+ p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
+ p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
+ r += (-0.5*y + p1/p2);
+ }
+ }
+ else if(ix<0x40200000) { /* x < 8.0 */
+ i = (int)x;
+ t = zero;
+ y = x-(double)i;
+ p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
+ q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
+ r = half*y+p/q;
+ z = one; /* lgamma(1+s) = log(s) + lgamma(s) */
+ switch(i) {
+ case 7: z *= (y+6.0); /* FALLTHRU */
+ case 6: z *= (y+5.0); /* FALLTHRU */
+ case 5: z *= (y+4.0); /* FALLTHRU */
+ case 4: z *= (y+3.0); /* FALLTHRU */
+ case 3: z *= (y+2.0); /* FALLTHRU */
+ r += __ieee754_log(z); break;
+ }
+ /* 8.0 <= x < 2**58 */
+ } else if (ix < 0x43900000) {
+ t = __ieee754_log(x);
+ z = one/x;
+ y = z*z;
+ w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
+ r = (x-half)*(t-one)+w;
+ } else
+ /* 2**58 <= x <= inf */
+ r = x*(__ieee754_log(x)-one);
+ if(hx<0) r = nadj - r;
+ return r;
+}
diff --git a/sysdeps/ieee754/dbl-64/e_log.c b/sysdeps/ieee754/dbl-64/e_log.c
new file mode 100644
index 0000000..851bd30
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_log.c
@@ -0,0 +1,165 @@
+/* @(#)e_log.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/25,
+ for performance improvement on pipelined processors.
+*/
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_log.c,v 1.8 1995/05/10 20:45:49 jtc Exp $";
+#endif
+
+/* __ieee754_log(x)
+ * Return the logarithm of x
+ *
+ * Method :
+ * 1. Argument Reduction: find k and f such that
+ * x = 2^k * (1+f),
+ * where sqrt(2)/2 < 1+f < sqrt(2) .
+ *
+ * 2. Approximation of log(1+f).
+ * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s)
+ * = 2s + 2/3 s**3 + 2/5 s**5 + .....,
+ * = 2s + s*R
+ * We use a special Reme algorithm on [0,0.1716] to generate
+ * a polynomial of degree 14 to approximate R The maximum error
+ * of this polynomial approximation is bounded by 2**-58.45. In
+ * other words,
+ * 2 4 6 8 10 12 14
+ * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s
+ * (the values of Lg1 to Lg7 are listed in the program)
+ * and
+ * | 2 14 | -58.45
+ * | Lg1*s +...+Lg7*s - R(z) | <= 2
+ * | |
+ * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2.
+ * In order to guarantee error in log below 1ulp, we compute log
+ * by
+ * log(1+f) = f - s*(f - R) (if f is not too large)
+ * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy)
+ *
+ * 3. Finally, log(x) = k*ln2 + log(1+f).
+ * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo)))
+ * Here ln2 is split into two floating point number:
+ * ln2_hi + ln2_lo,
+ * where n*ln2_hi is always exact for |n| < 2000.
+ *
+ * Special cases:
+ * log(x) is NaN with signal if x < 0 (including -INF) ;
+ * log(+INF) is +INF; log(0) is -INF with signal;
+ * log(NaN) is that NaN with no signal.
+ *
+ * Accuracy:
+ * according to an error analysis, the error is always less than
+ * 1 ulp (unit in the last place).
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+#define half Lg[8]
+#define two Lg[9]
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+ln2_hi = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */
+ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */
+two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */
+ Lg[] = {0.0,
+ 6.666666666666735130e-01, /* 3FE55555 55555593 */
+ 3.999999999940941908e-01, /* 3FD99999 9997FA04 */
+ 2.857142874366239149e-01, /* 3FD24924 94229359 */
+ 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */
+ 1.818357216161805012e-01, /* 3FC74664 96CB03DE */
+ 1.531383769920937332e-01, /* 3FC39A09 D078C69F */
+ 1.479819860511658591e-01, /* 3FC2F112 DF3E5244 */
+ 0.5,
+ 2.0};
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_log(double x)
+#else
+ double __ieee754_log(x)
+ double x;
+#endif
+{
+ double hfsq,f,s,z,R,w,dk,t11,t12,t21,t22,w2,zw2;
+#ifdef DO_NOT_USE_THIS
+ double t1,t2;
+#endif
+ int32_t k,hx,i,j;
+ u_int32_t lx;
+
+ EXTRACT_WORDS(hx,lx,x);
+
+ k=0;
+ if (hx < 0x00100000) { /* x < 2**-1022 */
+ if (((hx&0x7fffffff)|lx)==0)
+ return -two54/(x-x); /* log(+-0)=-inf */
+ if (hx<0) return (x-x)/(x-x); /* log(-#) = NaN */
+ k -= 54; x *= two54; /* subnormal number, scale up x */
+ GET_HIGH_WORD(hx,x);
+ }
+ if (hx >= 0x7ff00000) return x+x;
+ k += (hx>>20)-1023;
+ hx &= 0x000fffff;
+ i = (hx+0x95f64)&0x100000;
+ SET_HIGH_WORD(x,hx|(i^0x3ff00000)); /* normalize x or x/2 */
+ k += (i>>20);
+ f = x-1.0;
+ if((0x000fffff&(2+hx))<3) { /* |f| < 2**-20 */
+ if(f==zero) {
+ if(k==0) return zero; else {dk=(double)k;
+ return dk*ln2_hi+dk*ln2_lo;}
+ }
+ R = f*f*(half-0.33333333333333333*f);
+ if(k==0) return f-R; else {dk=(double)k;
+ return dk*ln2_hi-((R-dk*ln2_lo)-f);}
+ }
+ s = f/(two+f);
+ dk = (double)k;
+ z = s*s;
+ i = hx-0x6147a;
+ w = z*z;
+ j = 0x6b851-hx;
+#ifdef DO_NOT_USE_THIS
+ t1= w*(Lg2+w*(Lg4+w*Lg6));
+ t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7)));
+ R = t2+t1;
+#else
+ t21 = Lg[5]+w*Lg[7]; w2=w*w;
+ t22 = Lg[1]+w*Lg[3]; zw2=z*w2;
+ t11 = Lg[4]+w*Lg[6];
+ t12 = w*Lg[2];
+ R = t12 + w2*t11 + z*t22 + zw2*t21;
+#endif
+ i |= j;
+ if(i>0) {
+ hfsq=0.5*f*f;
+ if(k==0) return f-(hfsq-s*(hfsq+R)); else
+ return dk*ln2_hi-((hfsq-(s*(hfsq+R)+dk*ln2_lo))-f);
+ } else {
+ if(k==0) return f-s*(f-R); else
+ return dk*ln2_hi-((s*(f-R)-dk*ln2_lo)-f);
+ }
+}
diff --git a/sysdeps/ieee754/dbl-64/e_log10.c b/sysdeps/ieee754/dbl-64/e_log10.c
new file mode 100644
index 0000000..e8a3278
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_log10.c
@@ -0,0 +1,98 @@
+/* @(#)e_log10.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_log10.c,v 1.9 1995/05/10 20:45:51 jtc Exp $";
+#endif
+
+/* __ieee754_log10(x)
+ * Return the base 10 logarithm of x
+ *
+ * Method :
+ * Let log10_2hi = leading 40 bits of log10(2) and
+ * log10_2lo = log10(2) - log10_2hi,
+ * ivln10 = 1/log(10) rounded.
+ * Then
+ * n = ilogb(x),
+ * if(n<0) n = n+1;
+ * x = scalbn(x,-n);
+ * log10(x) := n*log10_2hi + (n*log10_2lo + ivln10*log(x))
+ *
+ * Note 1:
+ * To guarantee log10(10**n)=n, where 10**n is normal, the rounding
+ * mode must set to Round-to-Nearest.
+ * Note 2:
+ * [1/log(10)] rounded to 53 bits has error .198 ulps;
+ * log10 is monotonic at all binary break points.
+ *
+ * Special cases:
+ * log10(x) is NaN with signal if x < 0;
+ * log10(+INF) is +INF with no signal; log10(0) is -INF with signal;
+ * log10(NaN) is that NaN with no signal;
+ * log10(10**N) = N for N=0,1,...,22.
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following constants.
+ * The decimal values may be used, provided that the compiler will convert
+ * from decimal to binary accurately enough to produce the hexadecimal values
+ * shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
+ivln10 = 4.34294481903251816668e-01, /* 0x3FDBCB7B, 0x1526E50E */
+log10_2hi = 3.01029995663611771306e-01, /* 0x3FD34413, 0x509F6000 */
+log10_2lo = 3.69423907715893078616e-13; /* 0x3D59FEF3, 0x11F12B36 */
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_log10(double x)
+#else
+ double __ieee754_log10(x)
+ double x;
+#endif
+{
+ double y,z;
+ int32_t i,k,hx;
+ u_int32_t lx;
+
+ EXTRACT_WORDS(hx,lx,x);
+
+ k=0;
+ if (hx < 0x00100000) { /* x < 2**-1022 */
+ if (((hx&0x7fffffff)|lx)==0)
+ return -two54/(x-x); /* log(+-0)=-inf */
+ if (hx<0) return (x-x)/(x-x); /* log(-#) = NaN */
+ k -= 54; x *= two54; /* subnormal number, scale up x */
+ GET_HIGH_WORD(hx,x);
+ }
+ if (hx >= 0x7ff00000) return x+x;
+ k += (hx>>20)-1023;
+ i = ((u_int32_t)k&0x80000000)>>31;
+ hx = (hx&0x000fffff)|((0x3ff-i)<<20);
+ y = (double)(k+i);
+ SET_HIGH_WORD(x,hx);
+ z = y*log10_2lo + ivln10*__ieee754_log(x);
+ return z+y*log10_2hi;
+}
diff --git a/sysdeps/ieee754/dbl-64/e_pow.c b/sysdeps/ieee754/dbl-64/e_pow.c
new file mode 100644
index 0000000..1e1496f
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_pow.c
@@ -0,0 +1,352 @@
+/* @(#)e_pow.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/25,
+ for performance improvement on pipelined processors.
+*/
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_pow.c,v 1.9 1995/05/12 04:57:32 jtc Exp $";
+#endif
+
+/* __ieee754_pow(x,y) return x**y
+ *
+ * n
+ * Method: Let x = 2 * (1+f)
+ * 1. Compute and return log2(x) in two pieces:
+ * log2(x) = w1 + w2,
+ * where w1 has 53-24 = 29 bit trailing zeros.
+ * 2. Perform y*log2(x) = n+y' by simulating muti-precision
+ * arithmetic, where |y'|<=0.5.
+ * 3. Return x**y = 2**n*exp(y'*log2)
+ *
+ * Special cases:
+ * 1. (anything) ** 0 is 1
+ * 2. (anything) ** 1 is itself
+ * 3. (anything) ** NAN is NAN
+ * 4. NAN ** (anything except 0) is NAN
+ * 5. +-(|x| > 1) ** +INF is +INF
+ * 6. +-(|x| > 1) ** -INF is +0
+ * 7. +-(|x| < 1) ** +INF is +0
+ * 8. +-(|x| < 1) ** -INF is +INF
+ * 9. +-1 ** +-INF is NAN
+ * 10. +0 ** (+anything except 0, NAN) is +0
+ * 11. -0 ** (+anything except 0, NAN, odd integer) is +0
+ * 12. +0 ** (-anything except 0, NAN) is +INF
+ * 13. -0 ** (-anything except 0, NAN, odd integer) is +INF
+ * 14. -0 ** (odd integer) = -( +0 ** (odd integer) )
+ * 15. +INF ** (+anything except 0,NAN) is +INF
+ * 16. +INF ** (-anything except 0,NAN) is +0
+ * 17. -INF ** (anything) = -0 ** (-anything)
+ * 18. (-anything) ** (integer) is (-1)**(integer)*(+anything**integer)
+ * 19. (-anything except 0 and inf) ** (non-integer) is NAN
+ *
+ * Accuracy:
+ * pow(x,y) returns x**y nearly rounded. In particular
+ * pow(integer,integer)
+ * always returns the correct integer provided it is
+ * representable.
+ *
+ * Constants :
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+#define zero C[0]
+#define one C[1]
+#define two C[2]
+#define two53 C[3]
+#define huge C[4]
+#define tiny C[5]
+#define L1 C[6]
+#define L2 C[7]
+#define L3 C[8]
+#define L4 C[9]
+#define L5 C[10]
+#define L6 C[11]
+#define P1 C[12]
+#define P2 C[13]
+#define P3 C[14]
+#define P4 C[15]
+#define P5 C[16]
+#define lg2 C[17]
+#define lg2_h C[18]
+#define lg2_l C[19]
+#define ovt C[20]
+#define cp C[21]
+#define cp_h C[22]
+#define cp_l C[23]
+#define ivln2 C[24]
+#define ivln2_h C[25]
+#define ivln2_l C[26]
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+bp[] = {1.0, 1.5,},
+dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */
+dp_l[] = { 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */
+C[] = {
+0.0,
+1.0,
+2.0,
+9007199254740992.0 ,
+1.0e300,
+1.0e-300,
+5.99999999999994648725e-01 ,
+4.28571428578550184252e-01 ,
+3.33333329818377432918e-01 ,
+2.72728123808534006489e-01 ,
+2.30660745775561754067e-01 ,
+2.06975017800338417784e-01 ,
+1.66666666666666019037e-01 ,
+-2.77777777770155933842e-03 ,
+6.61375632143793436117e-05 ,
+-1.65339022054652515390e-06 ,
+4.13813679705723846039e-08 ,
+6.93147180559945286227e-01 ,
+6.93147182464599609375e-01 ,
+-1.90465429995776804525e-09 ,
+8.0085662595372944372e-0017 ,
+9.61796693925975554329e-01 ,
+9.61796700954437255859e-01 ,
+-7.02846165095275826516e-09 ,
+1.44269504088896338700e+00 ,
+1.44269502162933349609e+00 ,
+1.92596299112661746887e-08 };
+
+#ifdef __STDC__
+ double __ieee754_pow(double x, double y)
+#else
+ double __ieee754_pow(x,y)
+ double x, y;
+#endif
+{
+ double z,ax,z_h,z_l,p_h,p_l;
+ double y1,t1,t2,r,s,t,u,v,w, t12,t14,r_1,r_2,r_3;
+ int32_t i,j,k,yisint,n;
+ int32_t hx,hy,ix,iy;
+ u_int32_t lx,ly;
+
+ EXTRACT_WORDS(hx,lx,x);
+ EXTRACT_WORDS(hy,ly,y);
+ ix = hx&0x7fffffff; iy = hy&0x7fffffff;
+
+ /* y==zero: x**0 = 1 */
+ if((iy|ly)==0) return C[1];
+
+ /* +-NaN return x+y */
+ if(ix > 0x7ff00000 || ((ix==0x7ff00000)&&(lx!=0)) ||
+ iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0)))
+ return x+y;
+
+ /* determine if y is an odd int when x < 0
+ * yisint = 0 ... y is not an integer
+ * yisint = 1 ... y is an odd int
+ * yisint = 2 ... y is an even int
+ */
+ yisint = 0;
+ if(hx<0) {
+ if(iy>=0x43400000) yisint = 2; /* even integer y */
+ else if(iy>=0x3ff00000) {
+ k = (iy>>20)-0x3ff; /* exponent */
+ if(k>20) {
+ j = ly>>(52-k);
+ if((u_int32_t)(j<<(52-k))==ly) yisint = 2-(j&1);
+ } else if(ly==0) {
+ j = iy>>(20-k);
+ if((int32_t)(j<<(20-k))==iy) yisint = 2-(j&1);
+ }
+ }
+ }
+
+ /* special value of y */
+ if(ly==0) {
+ if (iy==0x7ff00000) { /* y is +-inf */
+ if(((ix-0x3ff00000)|lx)==0)
+ return y - y; /* inf**+-1 is NaN */
+ else if (ix >= 0x3ff00000)/* (|x|>1)**+-inf = inf,0 */
+ return (hy>=0)? y: C[0];
+ else /* (|x|<1)**-,+inf = inf,0 */
+ return (hy<0)?-y: C[0];
+ }
+ if(iy==0x3ff00000) { /* y is +-1 */
+ if(hy<0) return C[1]/x; else return x;
+ }
+ if(hy==0x40000000) return x*x; /* y is 2 */
+ if(hy==0x3fe00000) { /* y is 0.5 */
+ if(hx>=0) /* x >= +0 */
+ return __ieee754_sqrt(x);
+ }
+ }
+
+ ax = fabs(x);
+ /* special value of x */
+ if(lx==0) {
+ if(ix==0x7ff00000||ix==0||ix==0x3ff00000){
+ z = ax; /*x is +-0,+-inf,+-1*/
+ if(hy<0) z = C[1]/z; /* z = (1/|x|) */
+ if(hx<0) {
+ if(((ix-0x3ff00000)|yisint)==0) {
+ z = (z-z)/(z-z); /* (-1)**non-int is NaN */
+ } else if(yisint==1)
+ z = -z; /* (x<0)**odd = -(|x|**odd) */
+ }
+ return z;
+ }
+ }
+
+ /* (x<0)**(non-int) is NaN */
+ if(((((u_int32_t)hx>>31)-1)|yisint)==0) return (x-x)/(x-x);
+
+ /* |y| is huge */
+ if(iy>0x41e00000) { /* if |y| > 2**31 */
+ if(iy>0x43f00000){ /* if |y| > 2**64, must o/uflow */
+ if(ix<=0x3fefffff) return (hy<0)? C[4]*C[4]:C[5]*C[5];
+ if(ix>=0x3ff00000) return (hy>0)? C[4]*C[4]:C[5]*C[5];
+ }
+ /* over/underflow if x is not close to one */
+ if(ix<0x3fefffff) return (hy<0)? C[4]*C[4]:C[5]*C[5];
+ if(ix>0x3ff00000) return (hy>0)? C[4]*C[4]:C[5]*C[5];
+ /* now |1-x| is tiny <= 2**-20, suffice to compute
+ log(x) by x-x^2/2+x^3/3-x^4/4 */
+ t = x-1; /* t has 20 trailing zeros */
+ w = (t*t)*(0.5-t*(0.3333333333333333333333-t*0.25));
+ u = C[25]*t; /* ivln2_h has 21 sig. bits */
+ v = t*C[26]-w*C[24];
+ t1 = u+v;
+ SET_LOW_WORD(t1,0);
+ t2 = v-(t1-u);
+ } else {
+ double s2,s_h,s_l,t_h,t_l,s22,s24,s26,r1,r2,r3;
+ n = 0;
+ /* take care subnormal number */
+ if(ix<0x00100000)
+ {ax *= C[3]; n -= 53; GET_HIGH_WORD(ix,ax); }
+ n += ((ix)>>20)-0x3ff;
+ j = ix&0x000fffff;
+ /* determine interval */
+ ix = j|0x3ff00000; /* normalize ix */
+ if(j<=0x3988E) k=0; /* |x|<sqrt(3/2) */
+ else if(j<0xBB67A) k=1; /* |x|<sqrt(3) */
+ else {k=0;n+=1;ix -= 0x00100000;}
+ SET_HIGH_WORD(ax,ix);
+
+ /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
+ u = ax-bp[k]; /* bp[0]=1.0, bp[1]=1.5 */
+ v = C[1]/(ax+bp[k]);
+ s = u*v;
+ s_h = s;
+ SET_LOW_WORD(s_h,0);
+ /* t_h=ax+bp[k] High */
+ t_h = C[0];
+ SET_HIGH_WORD(t_h,((ix>>1)|0x20000000)+0x00080000+(k<<18));
+ t_l = ax - (t_h-bp[k]);
+ s_l = v*((u-s_h*t_h)-s_h*t_l);
+ /* compute log(ax) */
+ s2 = s*s;
+#ifdef DO_NOT_USE_THIS
+ r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
+#else
+ r1 = C[10]+s2*C[11]; s22=s2*s2;
+ r2 = C[8]+s2*C[9]; s24=s22*s22;
+ r3 = C[6]+s2*C[7]; s26=s24*s22;
+ r = r3*s22 + r2*s24 + r1*s26;
+#endif
+ r += s_l*(s_h+s);
+ s2 = s_h*s_h;
+ t_h = 3.0+s2+r;
+ SET_LOW_WORD(t_h,0);
+ t_l = r-((t_h-3.0)-s2);
+ /* u+v = s*(1+...) */
+ u = s_h*t_h;
+ v = s_l*t_h+t_l*s;
+ /* 2/(3log2)*(s+...) */
+ p_h = u+v;
+ SET_LOW_WORD(p_h,0);
+ p_l = v-(p_h-u);
+ z_h = C[22]*p_h; /* cp_h+cp_l = 2/(3*log2) */
+ z_l = C[23]*p_h+p_l*C[21]+dp_l[k];
+ /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
+ t = (double)n;
+ t1 = (((z_h+z_l)+dp_h[k])+t);
+ SET_LOW_WORD(t1,0);
+ t2 = z_l-(((t1-t)-dp_h[k])-z_h);
+ }
+
+ s = C[1]; /* s (sign of result -ve**odd) = -1 else = 1 */
+ if(((((u_int32_t)hx>>31)-1)|(yisint-1))==0)
+ s = -C[1];/* (-ve)**(odd int) */
+
+ /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
+ y1 = y;
+ SET_LOW_WORD(y1,0);
+ p_l = (y-y1)*t1+y*t2;
+ p_h = y1*t1;
+ z = p_l+p_h;
+ EXTRACT_WORDS(j,i,z);
+ if (j>=0x40900000) { /* z >= 1024 */
+ if(((j-0x40900000)|i)!=0) /* if z > 1024 */
+ return s*C[4]*C[4]; /* overflow */
+ else {
+ if(p_l+C[20]>z-p_h) return s*C[4]*C[4]; /* overflow */
+ }
+ } else if((j&0x7fffffff)>=0x4090cc00 ) { /* z <= -1075 */
+ if(((j-0xc090cc00)|i)!=0) /* z < -1075 */
+ return s*C[5]*C[5]; /* underflow */
+ else {
+ if(p_l<=z-p_h) return s*C[5]*C[5]; /* underflow */
+ }
+ }
+ /*
+ * compute 2**(p_h+p_l)
+ */
+ i = j&0x7fffffff;
+ k = (i>>20)-0x3ff;
+ n = 0;
+ if(i>0x3fe00000) { /* if |z| > 0.5, set n = [z+0.5] */
+ n = j+(0x00100000>>(k+1));
+ k = ((n&0x7fffffff)>>20)-0x3ff; /* new k for n */
+ t = C[0];
+ SET_HIGH_WORD(t,n&~(0x000fffff>>k));
+ n = ((n&0x000fffff)|0x00100000)>>(20-k);
+ if(j<0) n = -n;
+ p_h -= t;
+ }
+ t = p_l+p_h;
+ SET_LOW_WORD(t,0);
+ u = t*C[18];
+ v = (p_l-(t-p_h))*C[17]+t*C[19];
+ z = u+v;
+ w = v-(z-u);
+ t = z*z;
+#ifdef DO_NOT_USE_THIS
+ t1 = z - t*(C[12]+t*(C[13]+t*(C[14]+t*(C[15]+t*C[16]))));
+#else
+ r_1 = C[15]+t*C[16]; t12 = t*t;
+ r_2 = C[13]+t*C[14]; t14 = t12*t12;
+ r_3 = t*C[12];
+ t1 = z - r_3 - t12*r_2 - t14*r_1;
+#endif
+ r = (z*t1)/(t1-C[2])-(w+z*w);
+ z = C[1]-(r-z);
+ GET_HIGH_WORD(j,z);
+ j += (n<<20);
+ if((j>>20)<=0) z = __scalbn(z,n); /* subnormal output */
+ else SET_HIGH_WORD(z,j);
+ return s*z;
+}
diff --git a/sysdeps/ieee754/dbl-64/e_rem_pio2.c b/sysdeps/ieee754/dbl-64/e_rem_pio2.c
new file mode 100644
index 0000000..a8a8cdb
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_rem_pio2.c
@@ -0,0 +1,183 @@
+/* @(#)e_rem_pio2.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_rem_pio2.c,v 1.8 1995/05/10 20:46:02 jtc Exp $";
+#endif
+
+/* __ieee754_rem_pio2(x,y)
+ *
+ * return the remainder of x rem pi/2 in y[0]+y[1]
+ * use __kernel_rem_pio2()
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi
+ */
+#ifdef __STDC__
+static const int32_t two_over_pi[] = {
+#else
+static int32_t two_over_pi[] = {
+#endif
+0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62,
+0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A,
+0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129,
+0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41,
+0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8,
+0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF,
+0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5,
+0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08,
+0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3,
+0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880,
+0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B,
+};
+
+#ifdef __STDC__
+static const int32_t npio2_hw[] = {
+#else
+static int32_t npio2_hw[] = {
+#endif
+0x3FF921FB, 0x400921FB, 0x4012D97C, 0x401921FB, 0x401F6A7A, 0x4022D97C,
+0x4025FDBB, 0x402921FB, 0x402C463A, 0x402F6A7A, 0x4031475C, 0x4032D97C,
+0x40346B9C, 0x4035FDBB, 0x40378FDB, 0x403921FB, 0x403AB41B, 0x403C463A,
+0x403DD85A, 0x403F6A7A, 0x40407E4C, 0x4041475C, 0x4042106C, 0x4042D97C,
+0x4043A28C, 0x40446B9C, 0x404534AC, 0x4045FDBB, 0x4046C6CB, 0x40478FDB,
+0x404858EB, 0x404921FB,
+};
+
+/*
+ * invpio2: 53 bits of 2/pi
+ * pio2_1: first 33 bit of pi/2
+ * pio2_1t: pi/2 - pio2_1
+ * pio2_2: second 33 bit of pi/2
+ * pio2_2t: pi/2 - (pio2_1+pio2_2)
+ * pio2_3: third 33 bit of pi/2
+ * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3)
+ */
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+zero = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
+invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */
+pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */
+pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */
+pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */
+pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */
+pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */
+
+#ifdef __STDC__
+ int32_t __ieee754_rem_pio2(double x, double *y)
+#else
+ int32_t __ieee754_rem_pio2(x,y)
+ double x,y[];
+#endif
+{
+ double z,w,t,r,fn;
+ double tx[3];
+ int32_t e0,i,j,nx,n,ix,hx;
+ u_int32_t low;
+
+ GET_HIGH_WORD(hx,x); /* high word of x */
+ ix = hx&0x7fffffff;
+ if(ix<=0x3fe921fb) /* |x| ~<= pi/4 , no need for reduction */
+ {y[0] = x; y[1] = 0; return 0;}
+ if(ix<0x4002d97c) { /* |x| < 3pi/4, special case with n=+-1 */
+ if(hx>0) {
+ z = x - pio2_1;
+ if(ix!=0x3ff921fb) { /* 33+53 bit pi is good enough */
+ y[0] = z - pio2_1t;
+ y[1] = (z-y[0])-pio2_1t;
+ } else { /* near pi/2, use 33+33+53 bit pi */
+ z -= pio2_2;
+ y[0] = z - pio2_2t;
+ y[1] = (z-y[0])-pio2_2t;
+ }
+ return 1;
+ } else { /* negative x */
+ z = x + pio2_1;
+ if(ix!=0x3ff921fb) { /* 33+53 bit pi is good enough */
+ y[0] = z + pio2_1t;
+ y[1] = (z-y[0])+pio2_1t;
+ } else { /* near pi/2, use 33+33+53 bit pi */
+ z += pio2_2;
+ y[0] = z + pio2_2t;
+ y[1] = (z-y[0])+pio2_2t;
+ }
+ return -1;
+ }
+ }
+ if(ix<=0x413921fb) { /* |x| ~<= 2^19*(pi/2), medium size */
+ t = fabs(x);
+ n = (int32_t) (t*invpio2+half);
+ fn = (double)n;
+ r = t-fn*pio2_1;
+ w = fn*pio2_1t; /* 1st round good to 85 bit */
+ if(n<32&&ix!=npio2_hw[n-1]) {
+ y[0] = r-w; /* quick check no cancellation */
+ } else {
+ u_int32_t high;
+ j = ix>>20;
+ y[0] = r-w;
+ GET_HIGH_WORD(high,y[0]);
+ i = j-((high>>20)&0x7ff);
+ if(i>16) { /* 2nd iteration needed, good to 118 */
+ t = r;
+ w = fn*pio2_2;
+ r = t-w;
+ w = fn*pio2_2t-((t-r)-w);
+ y[0] = r-w;
+ GET_HIGH_WORD(high,y[0]);
+ i = j-((high>>20)&0x7ff);
+ if(i>49) { /* 3rd iteration need, 151 bits acc */
+ t = r; /* will cover all possible cases */
+ w = fn*pio2_3;
+ r = t-w;
+ w = fn*pio2_3t-((t-r)-w);
+ y[0] = r-w;
+ }
+ }
+ }
+ y[1] = (r-y[0])-w;
+ if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
+ else return n;
+ }
+ /*
+ * all other (large) arguments
+ */
+ if(ix>=0x7ff00000) { /* x is inf or NaN */
+ y[0]=y[1]=x-x; return 0;
+ }
+ /* set z = scalbn(|x|,ilogb(x)-23) */
+ GET_LOW_WORD(low,x);
+ SET_LOW_WORD(z,low);
+ e0 = (ix>>20)-1046; /* e0 = ilogb(z)-23; */
+ SET_HIGH_WORD(z, ix - ((int32_t)(e0<<20)));
+ for(i=0;i<2;i++) {
+ tx[i] = (double)((int32_t)(z));
+ z = (z-tx[i])*two24;
+ }
+ tx[2] = z;
+ nx = 3;
+ while(tx[nx-1]==zero) nx--; /* skip zero term */
+ n = __kernel_rem_pio2(tx,y,e0,nx,2,two_over_pi);
+ if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
+ return n;
+}
diff --git a/sysdeps/ieee754/dbl-64/e_remainder.c b/sysdeps/ieee754/dbl-64/e_remainder.c
new file mode 100644
index 0000000..6418081
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_remainder.c
@@ -0,0 +1,80 @@
+/* @(#)e_remainder.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_remainder.c,v 1.8 1995/05/10 20:46:05 jtc Exp $";
+#endif
+
+/* __ieee754_remainder(x,p)
+ * Return :
+ * returns x REM p = x - [x/p]*p as if in infinite
+ * precise arithmetic, where [x/p] is the (infinite bit)
+ * integer nearest x/p (in half way case choose the even one).
+ * Method :
+ * Based on fmod() return x-[x/p]chopped*p exactlp.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+
+#ifdef __STDC__
+ double __ieee754_remainder(double x, double p)
+#else
+ double __ieee754_remainder(x,p)
+ double x,p;
+#endif
+{
+ int32_t hx,hp;
+ u_int32_t sx,lx,lp;
+ double p_half;
+
+ EXTRACT_WORDS(hx,lx,x);
+ EXTRACT_WORDS(hp,lp,p);
+ sx = hx&0x80000000;
+ hp &= 0x7fffffff;
+ hx &= 0x7fffffff;
+
+ /* purge off exception values */
+ if((hp|lp)==0) return (x*p)/(x*p); /* p = 0 */
+ if((hx>=0x7ff00000)|| /* x not finite */
+ ((hp>=0x7ff00000)&& /* p is NaN */
+ (((hp-0x7ff00000)|lp)!=0)))
+ return (x*p)/(x*p);
+
+
+ if (hp<=0x7fdfffff) x = __ieee754_fmod(x,p+p); /* now x < 2p */
+ if (((hx-hp)|(lx-lp))==0) return zero*x;
+ x = fabs(x);
+ p = fabs(p);
+ if (hp<0x00200000) {
+ if(x+x>p) {
+ x-=p;
+ if(x+x>=p) x -= p;
+ }
+ } else {
+ p_half = 0.5*p;
+ if(x>p_half) {
+ x-=p;
+ if(x>=p_half) x -= p;
+ }
+ }
+ GET_HIGH_WORD(hx,x);
+ SET_HIGH_WORD(x,hx^sx);
+ return x;
+}
diff --git a/sysdeps/ieee754/dbl-64/e_sinh.c b/sysdeps/ieee754/dbl-64/e_sinh.c
new file mode 100644
index 0000000..1701b9b
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_sinh.c
@@ -0,0 +1,86 @@
+/* @(#)e_sinh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_sinh.c,v 1.7 1995/05/10 20:46:13 jtc Exp $";
+#endif
+
+/* __ieee754_sinh(x)
+ * Method :
+ * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
+ * 1. Replace x by |x| (sinh(-x) = -sinh(x)).
+ * 2.
+ * E + E/(E+1)
+ * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x)
+ * 2
+ *
+ * 22 <= x <= lnovft : sinh(x) := exp(x)/2
+ * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2)
+ * ln2ovft < x : sinh(x) := x*shuge (overflow)
+ *
+ * Special cases:
+ * sinh(x) is |x| if x is +INF, -INF, or NaN.
+ * only sinh(0)=0 is exact for finite x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0, shuge = 1.0e307;
+#else
+static double one = 1.0, shuge = 1.0e307;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_sinh(double x)
+#else
+ double __ieee754_sinh(x)
+ double x;
+#endif
+{
+ double t,w,h;
+ int32_t ix,jx;
+ u_int32_t lx;
+
+ /* High word of |x|. */
+ GET_HIGH_WORD(jx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7ff00000) return x+x;
+
+ h = 0.5;
+ if (jx<0) h = -h;
+ /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
+ if (ix < 0x40360000) { /* |x|<22 */
+ if (ix<0x3e300000) /* |x|<2**-28 */
+ if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
+ t = __expm1(fabs(x));
+ if(ix<0x3ff00000) return h*(2.0*t-t*t/(t+one));
+ return h*(t+t/(t+one));
+ }
+
+ /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
+ if (ix < 0x40862e42) return h*__ieee754_exp(fabs(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ GET_LOW_WORD(lx,x);
+ if (ix<0x408633ce || ((ix==0x408633ce)&&(lx<=(u_int32_t)0x8fb9f87d))) {
+ w = __ieee754_exp(0.5*fabs(x));
+ t = h*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthresold, sinh(x) overflow */
+ return x*shuge;
+}
diff --git a/sysdeps/ieee754/dbl-64/e_sqrt.c b/sysdeps/ieee754/dbl-64/e_sqrt.c
new file mode 100644
index 0000000..67da545
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/e_sqrt.c
@@ -0,0 +1,452 @@
+/* @(#)e_sqrt.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_sqrt.c,v 1.8 1995/05/10 20:46:17 jtc Exp $";
+#endif
+
+/* __ieee754_sqrt(x)
+ * Return correctly rounded sqrt.
+ * ------------------------------------------
+ * | Use the hardware sqrt if you have one |
+ * ------------------------------------------
+ * Method:
+ * Bit by bit method using integer arithmetic. (Slow, but portable)
+ * 1. Normalization
+ * Scale x to y in [1,4) with even powers of 2:
+ * find an integer k such that 1 <= (y=x*2^(2k)) < 4, then
+ * sqrt(x) = 2^k * sqrt(y)
+ * 2. Bit by bit computation
+ * Let q = sqrt(y) truncated to i bit after binary point (q = 1),
+ * i 0
+ * i+1 2
+ * s = 2*q , and y = 2 * ( y - q ). (1)
+ * i i i i
+ *
+ * To compute q from q , one checks whether
+ * i+1 i
+ *
+ * -(i+1) 2
+ * (q + 2 ) <= y. (2)
+ * i
+ * -(i+1)
+ * If (2) is false, then q = q ; otherwise q = q + 2 .
+ * i+1 i i+1 i
+ *
+ * With some algebraic manipulation, it is not difficult to see
+ * that (2) is equivalent to
+ * -(i+1)
+ * s + 2 <= y (3)
+ * i i
+ *
+ * The advantage of (3) is that s and y can be computed by
+ * i i
+ * the following recurrence formula:
+ * if (3) is false
+ *
+ * s = s , y = y ; (4)
+ * i+1 i i+1 i
+ *
+ * otherwise,
+ * -i -(i+1)
+ * s = s + 2 , y = y - s - 2 (5)
+ * i+1 i i+1 i i
+ *
+ * One may easily use induction to prove (4) and (5).
+ * Note. Since the left hand side of (3) contain only i+2 bits,
+ * it does not necessary to do a full (53-bit) comparison
+ * in (3).
+ * 3. Final rounding
+ * After generating the 53 bits result, we compute one more bit.
+ * Together with the remainder, we can decide whether the
+ * result is exact, bigger than 1/2ulp, or less than 1/2ulp
+ * (it will never equal to 1/2ulp).
+ * The rounding mode can be detected by checking whether
+ * huge + tiny is equal to huge, and whether huge - tiny is
+ * equal to huge for some floating point number "huge" and "tiny".
+ *
+ * Special cases:
+ * sqrt(+-0) = +-0 ... exact
+ * sqrt(inf) = inf
+ * sqrt(-ve) = NaN ... with invalid signal
+ * sqrt(NaN) = NaN ... with invalid signal for signaling NaN
+ *
+ * Other methods : see the appended file at the end of the program below.
+ *---------------
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0, tiny=1.0e-300;
+#else
+static double one = 1.0, tiny=1.0e-300;
+#endif
+
+#ifdef __STDC__
+ double __ieee754_sqrt(double x)
+#else
+ double __ieee754_sqrt(x)
+ double x;
+#endif
+{
+ double z;
+ int32_t sign = (int)0x80000000;
+ int32_t ix0,s0,q,m,t,i;
+ u_int32_t r,t1,s1,ix1,q1;
+
+ EXTRACT_WORDS(ix0,ix1,x);
+
+ /* take care of Inf and NaN */
+ if((ix0&0x7ff00000)==0x7ff00000) {
+ return x*x+x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf
+ sqrt(-inf)=sNaN */
+ }
+ /* take care of zero */
+ if(ix0<=0) {
+ if(((ix0&(~sign))|ix1)==0) return x;/* sqrt(+-0) = +-0 */
+ else if(ix0<0)
+ return (x-x)/(x-x); /* sqrt(-ve) = sNaN */
+ }
+ /* normalize x */
+ m = (ix0>>20);
+ if(m==0) { /* subnormal x */
+ while(ix0==0) {
+ m -= 21;
+ ix0 |= (ix1>>11); ix1 <<= 21;
+ }
+ for(i=0;(ix0&0x00100000)==0;i++) ix0<<=1;
+ m -= i-1;
+ ix0 |= (ix1>>(32-i));
+ ix1 <<= i;
+ }
+ m -= 1023; /* unbias exponent */
+ ix0 = (ix0&0x000fffff)|0x00100000;
+ if(m&1){ /* odd m, double x to make it even */
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ }
+ m >>= 1; /* m = [m/2] */
+
+ /* generate sqrt(x) bit by bit */
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ q = q1 = s0 = s1 = 0; /* [q,q1] = sqrt(x) */
+ r = 0x00200000; /* r = moving bit from right to left */
+
+ while(r!=0) {
+ t = s0+r;
+ if(t<=ix0) {
+ s0 = t+r;
+ ix0 -= t;
+ q += r;
+ }
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ r>>=1;
+ }
+
+ r = sign;
+ while(r!=0) {
+ t1 = s1+r;
+ t = s0;
+ if((t<ix0)||((t==ix0)&&(t1<=ix1))) {
+ s1 = t1+r;
+ if(((t1&sign)==sign)&&(s1&sign)==0) s0 += 1;
+ ix0 -= t;
+ if (ix1 < t1) ix0 -= 1;
+ ix1 -= t1;
+ q1 += r;
+ }
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ r>>=1;
+ }
+
+ /* use floating add to find out rounding direction */
+ if((ix0|ix1)!=0) {
+ z = one-tiny; /* trigger inexact flag */
+ if (z>=one) {
+ z = one+tiny;
+ if (q1==(u_int32_t)0xffffffff) { q1=0; q += 1;}
+ else if (z>one) {
+ if (q1==(u_int32_t)0xfffffffe) q+=1;
+ q1+=2;
+ } else
+ q1 += (q1&1);
+ }
+ }
+ ix0 = (q>>1)+0x3fe00000;
+ ix1 = q1>>1;
+ if ((q&1)==1) ix1 |= sign;
+ ix0 += (m <<20);
+ INSERT_WORDS(z,ix0,ix1);
+ return z;
+}
+
+/*
+Other methods (use floating-point arithmetic)
+-------------
+(This is a copy of a drafted paper by Prof W. Kahan
+and K.C. Ng, written in May, 1986)
+
+ Two algorithms are given here to implement sqrt(x)
+ (IEEE double precision arithmetic) in software.
+ Both supply sqrt(x) correctly rounded. The first algorithm (in
+ Section A) uses newton iterations and involves four divisions.
+ The second one uses reciproot iterations to avoid division, but
+ requires more multiplications. Both algorithms need the ability
+ to chop results of arithmetic operations instead of round them,
+ and the INEXACT flag to indicate when an arithmetic operation
+ is executed exactly with no roundoff error, all part of the
+ standard (IEEE 754-1985). The ability to perform shift, add,
+ subtract and logical AND operations upon 32-bit words is needed
+ too, though not part of the standard.
+
+A. sqrt(x) by Newton Iteration
+
+ (1) Initial approximation
+
+ Let x0 and x1 be the leading and the trailing 32-bit words of
+ a floating point number x (in IEEE double format) respectively
+
+ 1 11 52 ...widths
+ ------------------------------------------------------
+ x: |s| e | f |
+ ------------------------------------------------------
+ msb lsb msb lsb ...order
+
+
+ ------------------------ ------------------------
+ x0: |s| e | f1 | x1: | f2 |
+ ------------------------ ------------------------
+
+ By performing shifts and subtracts on x0 and x1 (both regarded
+ as integers), we obtain an 8-bit approximation of sqrt(x) as
+ follows.
+
+ k := (x0>>1) + 0x1ff80000;
+ y0 := k - T1[31&(k>>15)]. ... y ~ sqrt(x) to 8 bits
+ Here k is a 32-bit integer and T1[] is an integer array containing
+ correction terms. Now magically the floating value of y (y's
+ leading 32-bit word is y0, the value of its trailing word is 0)
+ approximates sqrt(x) to almost 8-bit.
+
+ Value of T1:
+ static int T1[32]= {
+ 0, 1024, 3062, 5746, 9193, 13348, 18162, 23592,
+ 29598, 36145, 43202, 50740, 58733, 67158, 75992, 85215,
+ 83599, 71378, 60428, 50647, 41945, 34246, 27478, 21581,
+ 16499, 12183, 8588, 5674, 3403, 1742, 661, 130,};
+
+ (2) Iterative refinement
+
+ Apply Heron's rule three times to y, we have y approximates
+ sqrt(x) to within 1 ulp (Unit in the Last Place):
+
+ y := (y+x/y)/2 ... almost 17 sig. bits
+ y := (y+x/y)/2 ... almost 35 sig. bits
+ y := y-(y-x/y)/2 ... within 1 ulp
+
+
+ Remark 1.
+ Another way to improve y to within 1 ulp is:
+
+ y := (y+x/y) ... almost 17 sig. bits to 2*sqrt(x)
+ y := y - 0x00100006 ... almost 18 sig. bits to sqrt(x)
+
+ 2
+ (x-y )*y
+ y := y + 2* ---------- ...within 1 ulp
+ 2
+ 3y + x
+
+
+ This formula has one division fewer than the one above; however,
+ it requires more multiplications and additions. Also x must be
+ scaled in advance to avoid spurious overflow in evaluating the
+ expression 3y*y+x. Hence it is not recommended uless division
+ is slow. If division is very slow, then one should use the
+ reciproot algorithm given in section B.
+
+ (3) Final adjustment
+
+ By twiddling y's last bit it is possible to force y to be
+ correctly rounded according to the prevailing rounding mode
+ as follows. Let r and i be copies of the rounding mode and
+ inexact flag before entering the square root program. Also we
+ use the expression y+-ulp for the next representable floating
+ numbers (up and down) of y. Note that y+-ulp = either fixed
+ point y+-1, or multiply y by nextafter(1,+-inf) in chopped
+ mode.
+
+ I := FALSE; ... reset INEXACT flag I
+ R := RZ; ... set rounding mode to round-toward-zero
+ z := x/y; ... chopped quotient, possibly inexact
+ If(not I) then { ... if the quotient is exact
+ if(z=y) {
+ I := i; ... restore inexact flag
+ R := r; ... restore rounded mode
+ return sqrt(x):=y.
+ } else {
+ z := z - ulp; ... special rounding
+ }
+ }
+ i := TRUE; ... sqrt(x) is inexact
+ If (r=RN) then z=z+ulp ... rounded-to-nearest
+ If (r=RP) then { ... round-toward-+inf
+ y = y+ulp; z=z+ulp;
+ }
+ y := y+z; ... chopped sum
+ y0:=y0-0x00100000; ... y := y/2 is correctly rounded.
+ I := i; ... restore inexact flag
+ R := r; ... restore rounded mode
+ return sqrt(x):=y.
+
+ (4) Special cases
+
+ Square root of +inf, +-0, or NaN is itself;
+ Square root of a negative number is NaN with invalid signal.
+
+
+B. sqrt(x) by Reciproot Iteration
+
+ (1) Initial approximation
+
+ Let x0 and x1 be the leading and the trailing 32-bit words of
+ a floating point number x (in IEEE double format) respectively
+ (see section A). By performing shifs and subtracts on x0 and y0,
+ we obtain a 7.8-bit approximation of 1/sqrt(x) as follows.
+
+ k := 0x5fe80000 - (x0>>1);
+ y0:= k - T2[63&(k>>14)]. ... y ~ 1/sqrt(x) to 7.8 bits
+
+ Here k is a 32-bit integer and T2[] is an integer array
+ containing correction terms. Now magically the floating
+ value of y (y's leading 32-bit word is y0, the value of
+ its trailing word y1 is set to zero) approximates 1/sqrt(x)
+ to almost 7.8-bit.
+
+ Value of T2:
+ static int T2[64]= {
+ 0x1500, 0x2ef8, 0x4d67, 0x6b02, 0x87be, 0xa395, 0xbe7a, 0xd866,
+ 0xf14a, 0x1091b,0x11fcd,0x13552,0x14999,0x15c98,0x16e34,0x17e5f,
+ 0x18d03,0x19a01,0x1a545,0x1ae8a,0x1b5c4,0x1bb01,0x1bfde,0x1c28d,
+ 0x1c2de,0x1c0db,0x1ba73,0x1b11c,0x1a4b5,0x1953d,0x18266,0x16be0,
+ 0x1683e,0x179d8,0x18a4d,0x19992,0x1a789,0x1b445,0x1bf61,0x1c989,
+ 0x1d16d,0x1d77b,0x1dddf,0x1e2ad,0x1e5bf,0x1e6e8,0x1e654,0x1e3cd,
+ 0x1df2a,0x1d635,0x1cb16,0x1be2c,0x1ae4e,0x19bde,0x1868e,0x16e2e,
+ 0x1527f,0x1334a,0x11051,0xe951, 0xbe01, 0x8e0d, 0x5924, 0x1edd,};
+
+ (2) Iterative refinement
+
+ Apply Reciproot iteration three times to y and multiply the
+ result by x to get an approximation z that matches sqrt(x)
+ to about 1 ulp. To be exact, we will have
+ -1ulp < sqrt(x)-z<1.0625ulp.
+
+ ... set rounding mode to Round-to-nearest
+ y := y*(1.5-0.5*x*y*y) ... almost 15 sig. bits to 1/sqrt(x)
+ y := y*((1.5-2^-30)+0.5*x*y*y)... about 29 sig. bits to 1/sqrt(x)
+ ... special arrangement for better accuracy
+ z := x*y ... 29 bits to sqrt(x), with z*y<1
+ z := z + 0.5*z*(1-z*y) ... about 1 ulp to sqrt(x)
+
+ Remark 2. The constant 1.5-2^-30 is chosen to bias the error so that
+ (a) the term z*y in the final iteration is always less than 1;
+ (b) the error in the final result is biased upward so that
+ -1 ulp < sqrt(x) - z < 1.0625 ulp
+ instead of |sqrt(x)-z|<1.03125ulp.
+
+ (3) Final adjustment
+
+ By twiddling y's last bit it is possible to force y to be
+ correctly rounded according to the prevailing rounding mode
+ as follows. Let r and i be copies of the rounding mode and
+ inexact flag before entering the square root program. Also we
+ use the expression y+-ulp for the next representable floating
+ numbers (up and down) of y. Note that y+-ulp = either fixed
+ point y+-1, or multiply y by nextafter(1,+-inf) in chopped
+ mode.
+
+ R := RZ; ... set rounding mode to round-toward-zero
+ switch(r) {
+ case RN: ... round-to-nearest
+ if(x<= z*(z-ulp)...chopped) z = z - ulp; else
+ if(x<= z*(z+ulp)...chopped) z = z; else z = z+ulp;
+ break;
+ case RZ:case RM: ... round-to-zero or round-to--inf
+ R:=RP; ... reset rounding mod to round-to-+inf
+ if(x<z*z ... rounded up) z = z - ulp; else
+ if(x>=(z+ulp)*(z+ulp) ...rounded up) z = z+ulp;
+ break;
+ case RP: ... round-to-+inf
+ if(x>(z+ulp)*(z+ulp)...chopped) z = z+2*ulp; else
+ if(x>z*z ...chopped) z = z+ulp;
+ break;
+ }
+
+ Remark 3. The above comparisons can be done in fixed point. For
+ example, to compare x and w=z*z chopped, it suffices to compare
+ x1 and w1 (the trailing parts of x and w), regarding them as
+ two's complement integers.
+
+ ...Is z an exact square root?
+ To determine whether z is an exact square root of x, let z1 be the
+ trailing part of z, and also let x0 and x1 be the leading and
+ trailing parts of x.
+
+ If ((z1&0x03ffffff)!=0) ... not exact if trailing 26 bits of z!=0
+ I := 1; ... Raise Inexact flag: z is not exact
+ else {
+ j := 1 - [(x0>>20)&1] ... j = logb(x) mod 2
+ k := z1 >> 26; ... get z's 25-th and 26-th
+ fraction bits
+ I := i or (k&j) or ((k&(j+j+1))!=(x1&3));
+ }
+ R:= r ... restore rounded mode
+ return sqrt(x):=z.
+
+ If multiplication is cheaper then the foregoing red tape, the
+ Inexact flag can be evaluated by
+
+ I := i;
+ I := (z*z!=x) or I.
+
+ Note that z*z can overwrite I; this value must be sensed if it is
+ True.
+
+ Remark 4. If z*z = x exactly, then bit 25 to bit 0 of z1 must be
+ zero.
+
+ --------------------
+ z1: | f2 |
+ --------------------
+ bit 31 bit 0
+
+ Further more, bit 27 and 26 of z1, bit 0 and 1 of x1, and the odd
+ or even of logb(x) have the following relations:
+
+ -------------------------------------------------
+ bit 27,26 of z1 bit 1,0 of x1 logb(x)
+ -------------------------------------------------
+ 00 00 odd and even
+ 01 01 even
+ 10 10 odd
+ 10 00 even
+ 11 01 even
+ -------------------------------------------------
+
+ (4) Special cases (see (4) of Section A).
+
+ */
diff --git a/sysdeps/ieee754/dbl-64/k_cos.c b/sysdeps/ieee754/dbl-64/k_cos.c
new file mode 100644
index 0000000..7e38ef7
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/k_cos.c
@@ -0,0 +1,107 @@
+/* @(#)k_cos.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/25,
+ for performance improvement on pipelined processors.
+*/
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: k_cos.c,v 1.8 1995/05/10 20:46:22 jtc Exp $";
+#endif
+
+/*
+ * __kernel_cos( x, y )
+ * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164
+ * Input x is assumed to be bounded by ~pi/4 in magnitude.
+ * Input y is the tail of x.
+ *
+ * Algorithm
+ * 1. Since cos(-x) = cos(x), we need only to consider positive x.
+ * 2. if x < 2^-27 (hx<0x3e400000 0), return 1 with inexact if x!=0.
+ * 3. cos(x) is approximated by a polynomial of degree 14 on
+ * [0,pi/4]
+ * 4 14
+ * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x
+ * where the remez error is
+ *
+ * | 2 4 6 8 10 12 14 | -58
+ * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2
+ * | |
+ *
+ * 4 6 8 10 12 14
+ * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then
+ * cos(x) = 1 - x*x/2 + r
+ * since cos(x+y) ~ cos(x) - sin(x)*y
+ * ~ cos(x) - x*y,
+ * a correction term is necessary in cos(x) and hence
+ * cos(x+y) = 1 - (x*x/2 - (r - x*y))
+ * For better accuracy when x > 0.3, let qx = |x|/4 with
+ * the last 32 bits mask off, and if x > 0.78125, let qx = 0.28125.
+ * Then
+ * cos(x+y) = (1-qx) - ((x*x/2-qx) - (r-x*y)).
+ * Note that 1-qx and (x*x/2-qx) is EXACT here, and the
+ * magnitude of the latter is at least a quarter of x*x/2,
+ * thus, reducing the rounding error in the subtraction.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+C[] = {
+ 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+ 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */
+ -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */
+ 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */
+ -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */
+ 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */
+ -1.13596475577881948265e-11}; /* 0xBDA8FAE9, 0xBE8838D4 */
+
+#ifdef __STDC__
+ double __kernel_cos(double x, double y)
+#else
+ double __kernel_cos(x, y)
+ double x,y;
+#endif
+{
+ double a,hz,z,r,qx,r1,r2,r3,z1,z2,z3;
+ int32_t ix;
+ z = x*x;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff; /* ix = |x|'s high word*/
+ if(ix<0x3e400000) { /* if x < 2**27 */
+ if(((int)x)==0) return C[0]; /* generate inexact */
+ }
+#ifdef DO_NOT_USE_THIS
+ r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6)))));
+#else
+ r1=z*C[6];r1=r1+C[5];z1=z*z;
+ r2=z*C[4];r2=r2+C[3];z2=z1*z;
+ r3=z*C[2];r3=r3+C[1];z3=z2*z1;
+ r=z3*r1+z2*r2+z*r3;
+#endif
+ if(ix < 0x3FD33333) /* if |x| < 0.3 */
+ return C[0] - (0.5*z - (z*r - x*y));
+ else {
+ if(ix > 0x3fe90000) { /* x > 0.78125 */
+ qx = 0.28125;
+ } else {
+ INSERT_WORDS(qx,ix-0x00200000,0); /* x/4 */
+ }
+ hz = 0.5*z-qx;
+ a = C[0]-qx;
+ return a - (hz - (z*r-x*y));
+ }
+}
diff --git a/sysdeps/ieee754/dbl-64/k_rem_pio2.c b/sysdeps/ieee754/dbl-64/k_rem_pio2.c
new file mode 100644
index 0000000..ccf1633
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/k_rem_pio2.c
@@ -0,0 +1,320 @@
+/* @(#)k_rem_pio2.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: k_rem_pio2.c,v 1.7 1995/05/10 20:46:25 jtc Exp $";
+#endif
+
+/*
+ * __kernel_rem_pio2(x,y,e0,nx,prec,ipio2)
+ * double x[],y[]; int e0,nx,prec; int ipio2[];
+ *
+ * __kernel_rem_pio2 return the last three digits of N with
+ * y = x - N*pi/2
+ * so that |y| < pi/2.
+ *
+ * The method is to compute the integer (mod 8) and fraction parts of
+ * (2/pi)*x without doing the full multiplication. In general we
+ * skip the part of the product that are known to be a huge integer (
+ * more accurately, = 0 mod 8 ). Thus the number of operations are
+ * independent of the exponent of the input.
+ *
+ * (2/pi) is represented by an array of 24-bit integers in ipio2[].
+ *
+ * Input parameters:
+ * x[] The input value (must be positive) is broken into nx
+ * pieces of 24-bit integers in double precision format.
+ * x[i] will be the i-th 24 bit of x. The scaled exponent
+ * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0
+ * match x's up to 24 bits.
+ *
+ * Example of breaking a double positive z into x[0]+x[1]+x[2]:
+ * e0 = ilogb(z)-23
+ * z = scalbn(z,-e0)
+ * for i = 0,1,2
+ * x[i] = floor(z)
+ * z = (z-x[i])*2**24
+ *
+ *
+ * y[] ouput result in an array of double precision numbers.
+ * The dimension of y[] is:
+ * 24-bit precision 1
+ * 53-bit precision 2
+ * 64-bit precision 2
+ * 113-bit precision 3
+ * The actual value is the sum of them. Thus for 113-bit
+ * precision, one may have to do something like:
+ *
+ * long double t,w,r_head, r_tail;
+ * t = (long double)y[2] + (long double)y[1];
+ * w = (long double)y[0];
+ * r_head = t+w;
+ * r_tail = w - (r_head - t);
+ *
+ * e0 The exponent of x[0]
+ *
+ * nx dimension of x[]
+ *
+ * prec an integer indicating the precision:
+ * 0 24 bits (single)
+ * 1 53 bits (double)
+ * 2 64 bits (extended)
+ * 3 113 bits (quad)
+ *
+ * ipio2[]
+ * integer array, contains the (24*i)-th to (24*i+23)-th
+ * bit of 2/pi after binary point. The corresponding
+ * floating value is
+ *
+ * ipio2[i] * 2^(-24(i+1)).
+ *
+ * External function:
+ * double scalbn(), floor();
+ *
+ *
+ * Here is the description of some local variables:
+ *
+ * jk jk+1 is the initial number of terms of ipio2[] needed
+ * in the computation. The recommended value is 2,3,4,
+ * 6 for single, double, extended,and quad.
+ *
+ * jz local integer variable indicating the number of
+ * terms of ipio2[] used.
+ *
+ * jx nx - 1
+ *
+ * jv index for pointing to the suitable ipio2[] for the
+ * computation. In general, we want
+ * ( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8
+ * is an integer. Thus
+ * e0-3-24*jv >= 0 or (e0-3)/24 >= jv
+ * Hence jv = max(0,(e0-3)/24).
+ *
+ * jp jp+1 is the number of terms in PIo2[] needed, jp = jk.
+ *
+ * q[] double array with integral value, representing the
+ * 24-bits chunk of the product of x and 2/pi.
+ *
+ * q0 the corresponding exponent of q[0]. Note that the
+ * exponent for q[i] would be q0-24*i.
+ *
+ * PIo2[] double precision array, obtained by cutting pi/2
+ * into 24 bits chunks.
+ *
+ * f[] ipio2[] in floating point
+ *
+ * iq[] integer array by breaking up q[] in 24-bits chunk.
+ *
+ * fq[] final product of x*(2/pi) in fq[0],..,fq[jk]
+ *
+ * ih integer. If >0 it indicates q[] is >= 0.5, hence
+ * it also indicates the *sign* of the result.
+ *
+ */
+
+
+/*
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const int init_jk[] = {2,3,4,6}; /* initial value for jk */
+#else
+static int init_jk[] = {2,3,4,6};
+#endif
+
+#ifdef __STDC__
+static const double PIo2[] = {
+#else
+static double PIo2[] = {
+#endif
+ 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */
+ 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */
+ 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */
+ 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */
+ 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */
+ 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */
+ 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */
+ 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */
+};
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+zero = 0.0,
+one = 1.0,
+two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
+twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */
+
+#ifdef __STDC__
+ int __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, const int32_t *ipio2)
+#else
+ int __kernel_rem_pio2(x,y,e0,nx,prec,ipio2)
+ double x[], y[]; int e0,nx,prec; int32_t ipio2[];
+#endif
+{
+ int32_t jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih;
+ double z,fw,f[20],fq[20],q[20];
+
+ /* initialize jk*/
+ jk = init_jk[prec];
+ jp = jk;
+
+ /* determine jx,jv,q0, note that 3>q0 */
+ jx = nx-1;
+ jv = (e0-3)/24; if(jv<0) jv=0;
+ q0 = e0-24*(jv+1);
+
+ /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */
+ j = jv-jx; m = jx+jk;
+ for(i=0;i<=m;i++,j++) f[i] = (j<0)? zero : (double) ipio2[j];
+
+ /* compute q[0],q[1],...q[jk] */
+ for (i=0;i<=jk;i++) {
+ for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j]; q[i] = fw;
+ }
+
+ jz = jk;
+recompute:
+ /* distill q[] into iq[] reversingly */
+ for(i=0,j=jz,z=q[jz];j>0;i++,j--) {
+ fw = (double)((int32_t)(twon24* z));
+ iq[i] = (int32_t)(z-two24*fw);
+ z = q[j-1]+fw;
+ }
+
+ /* compute n */
+ z = __scalbn(z,q0); /* actual value of z */
+ z -= 8.0*__floor(z*0.125); /* trim off integer >= 8 */
+ n = (int32_t) z;
+ z -= (double)n;
+ ih = 0;
+ if(q0>0) { /* need iq[jz-1] to determine n */
+ i = (iq[jz-1]>>(24-q0)); n += i;
+ iq[jz-1] -= i<<(24-q0);
+ ih = iq[jz-1]>>(23-q0);
+ }
+ else if(q0==0) ih = iq[jz-1]>>23;
+ else if(z>=0.5) ih=2;
+
+ if(ih>0) { /* q > 0.5 */
+ n += 1; carry = 0;
+ for(i=0;i<jz ;i++) { /* compute 1-q */
+ j = iq[i];
+ if(carry==0) {
+ if(j!=0) {
+ carry = 1; iq[i] = 0x1000000- j;
+ }
+ } else iq[i] = 0xffffff - j;
+ }
+ if(q0>0) { /* rare case: chance is 1 in 12 */
+ switch(q0) {
+ case 1:
+ iq[jz-1] &= 0x7fffff; break;
+ case 2:
+ iq[jz-1] &= 0x3fffff; break;
+ }
+ }
+ if(ih==2) {
+ z = one - z;
+ if(carry!=0) z -= __scalbn(one,q0);
+ }
+ }
+
+ /* check if recomputation is needed */
+ if(z==zero) {
+ j = 0;
+ for (i=jz-1;i>=jk;i--) j |= iq[i];
+ if(j==0) { /* need recomputation */
+ for(k=1;iq[jk-k]==0;k++); /* k = no. of terms needed */
+
+ for(i=jz+1;i<=jz+k;i++) { /* add q[jz+1] to q[jz+k] */
+ f[jx+i] = (double) ipio2[jv+i];
+ for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j];
+ q[i] = fw;
+ }
+ jz += k;
+ goto recompute;
+ }
+ }
+
+ /* chop off zero terms */
+ if(z==0.0) {
+ jz -= 1; q0 -= 24;
+ while(iq[jz]==0) { jz--; q0-=24;}
+ } else { /* break z into 24-bit if necessary */
+ z = __scalbn(z,-q0);
+ if(z>=two24) {
+ fw = (double)((int32_t)(twon24*z));
+ iq[jz] = (int32_t)(z-two24*fw);
+ jz += 1; q0 += 24;
+ iq[jz] = (int32_t) fw;
+ } else iq[jz] = (int32_t) z ;
+ }
+
+ /* convert integer "bit" chunk to floating-point value */
+ fw = __scalbn(one,q0);
+ for(i=jz;i>=0;i--) {
+ q[i] = fw*(double)iq[i]; fw*=twon24;
+ }
+
+ /* compute PIo2[0,...,jp]*q[jz,...,0] */
+ for(i=jz;i>=0;i--) {
+ for(fw=0.0,k=0;k<=jp&&k<=jz-i;k++) fw += PIo2[k]*q[i+k];
+ fq[jz-i] = fw;
+ }
+
+ /* compress fq[] into y[] */
+ switch(prec) {
+ case 0:
+ fw = 0.0;
+ for (i=jz;i>=0;i--) fw += fq[i];
+ y[0] = (ih==0)? fw: -fw;
+ break;
+ case 1:
+ case 2:
+ fw = 0.0;
+ for (i=jz;i>=0;i--) fw += fq[i];
+ y[0] = (ih==0)? fw: -fw;
+ fw = fq[0]-fw;
+ for (i=1;i<=jz;i++) fw += fq[i];
+ y[1] = (ih==0)? fw: -fw;
+ break;
+ case 3: /* painful */
+ for (i=jz;i>0;i--) {
+ fw = fq[i-1]+fq[i];
+ fq[i] += fq[i-1]-fw;
+ fq[i-1] = fw;
+ }
+ for (i=jz;i>1;i--) {
+ fw = fq[i-1]+fq[i];
+ fq[i] += fq[i-1]-fw;
+ fq[i-1] = fw;
+ }
+ for (fw=0.0,i=jz;i>=2;i--) fw += fq[i];
+ if(ih==0) {
+ y[0] = fq[0]; y[1] = fq[1]; y[2] = fw;
+ } else {
+ y[0] = -fq[0]; y[1] = -fq[1]; y[2] = -fw;
+ }
+ }
+ return n&7;
+}
diff --git a/sysdeps/ieee754/dbl-64/k_sin.c b/sysdeps/ieee754/dbl-64/k_sin.c
new file mode 100644
index 0000000..49c5922
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/k_sin.c
@@ -0,0 +1,91 @@
+/* @(#)k_sin.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/25,
+ for performance improvement on pipelined processors.
+*/
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: k_sin.c,v 1.8 1995/05/10 20:46:31 jtc Exp $";
+#endif
+
+/* __kernel_sin( x, y, iy)
+ * kernel sin function on [-pi/4, pi/4], pi/4 ~ 0.7854
+ * Input x is assumed to be bounded by ~pi/4 in magnitude.
+ * Input y is the tail of x.
+ * Input iy indicates whether y is 0. (if iy=0, y assume to be 0).
+ *
+ * Algorithm
+ * 1. Since sin(-x) = -sin(x), we need only to consider positive x.
+ * 2. if x < 2^-27 (hx<0x3e400000 0), return x with inexact if x!=0.
+ * 3. sin(x) is approximated by a polynomial of degree 13 on
+ * [0,pi/4]
+ * 3 13
+ * sin(x) ~ x + S1*x + ... + S6*x
+ * where
+ *
+ * |sin(x) 2 4 6 8 10 12 | -58
+ * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2
+ * | x |
+ *
+ * 4. sin(x+y) = sin(x) + sin'(x')*y
+ * ~ sin(x) + (1-x*x/2)*y
+ * For better accuracy, let
+ * 3 2 2 2 2
+ * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6))))
+ * then 3 2
+ * sin(x) = x + (S1*x + (x *(r-y/2)+y))
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+S[] = {
+ 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+ -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */
+ 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */
+ -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */
+ 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */
+ -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */
+ 1.58969099521155010221e-10}; /* 0x3DE5D93A, 0x5ACFD57C */
+
+#ifdef __STDC__
+ double __kernel_sin(double x, double y, int iy)
+#else
+ double __kernel_sin(x, y, iy)
+ double x,y; int iy; /* iy=0 if y is zero */
+#endif
+{
+ double z,r,v,z1,r1,r2;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff; /* high word of x */
+ if(ix<0x3e400000) /* |x| < 2**-27 */
+ {if((int)x==0) return x;} /* generate inexact */
+ z = x*x;
+ v = z*x;
+#ifdef DO_NOT_USE_THIS
+ r = S2+z*(S3+z*(S4+z*(S5+z*S6)));
+ if(iy==0) return x+v*(S1+z*r);
+ else return x-((z*(half*y-v*r)-y)-v*S1);
+#else
+ r1 = S[5]+z*S[6]; z1 = z*z*z;
+ r2 = S[3]+z*S[4];
+ r = S[2] + z*r2 + z1*r1;
+ if(iy==0) return x+v*(S[1]+z*r);
+ else return x-((z*(S[0]*y-v*r)-y)-v*S[1]);
+#endif
+}
diff --git a/sysdeps/ieee754/dbl-64/k_tan.c b/sysdeps/ieee754/dbl-64/k_tan.c
new file mode 100644
index 0000000..55dafb8
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/k_tan.c
@@ -0,0 +1,145 @@
+/* @(#)k_tan.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/25,
+ for performance improvement on pipelined processors.
+*/
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: k_tan.c,v 1.8 1995/05/10 20:46:37 jtc Exp $";
+#endif
+
+/* __kernel_tan( x, y, k )
+ * kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854
+ * Input x is assumed to be bounded by ~pi/4 in magnitude.
+ * Input y is the tail of x.
+ * Input k indicates whether tan (if k=1) or
+ * -1/tan (if k= -1) is returned.
+ *
+ * Algorithm
+ * 1. Since tan(-x) = -tan(x), we need only to consider positive x.
+ * 2. if x < 2^-28 (hx<0x3e300000 0), return x with inexact if x!=0.
+ * 3. tan(x) is approximated by a odd polynomial of degree 27 on
+ * [0,0.67434]
+ * 3 27
+ * tan(x) ~ x + T1*x + ... + T13*x
+ * where
+ *
+ * |tan(x) 2 4 26 | -59.2
+ * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2
+ * | x |
+ *
+ * Note: tan(x+y) = tan(x) + tan'(x)*y
+ * ~ tan(x) + (1+x*x)*y
+ * Therefore, for better accuracy in computing tan(x+y), let
+ * 3 2 2 2 2
+ * r = x *(T2+x *(T3+x *(...+x *(T12+x *T13))))
+ * then
+ * 3 2
+ * tan(x+y) = x + (T1*x + (x *(r+y)+y))
+ *
+ * 4. For x in [0.67434,pi/4], let y = pi/4 - x, then
+ * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y))
+ * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y)))
+ */
+
+#include "math.h"
+#include "math_private.h"
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+pio4 = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */
+pio4lo= 3.06161699786838301793e-17, /* 0x3C81A626, 0x33145C07 */
+T[] = {
+ 3.33333333333334091986e-01, /* 0x3FD55555, 0x55555563 */
+ 1.33333333333201242699e-01, /* 0x3FC11111, 0x1110FE7A */
+ 5.39682539762260521377e-02, /* 0x3FABA1BA, 0x1BB341FE */
+ 2.18694882948595424599e-02, /* 0x3F9664F4, 0x8406D637 */
+ 8.86323982359930005737e-03, /* 0x3F8226E3, 0xE96E8493 */
+ 3.59207910759131235356e-03, /* 0x3F6D6D22, 0xC9560328 */
+ 1.45620945432529025516e-03, /* 0x3F57DBC8, 0xFEE08315 */
+ 5.88041240820264096874e-04, /* 0x3F4344D8, 0xF2F26501 */
+ 2.46463134818469906812e-04, /* 0x3F3026F7, 0x1A8D1068 */
+ 7.81794442939557092300e-05, /* 0x3F147E88, 0xA03792A6 */
+ 7.14072491382608190305e-05, /* 0x3F12B80F, 0x32F0A7E9 */
+ -1.85586374855275456654e-05, /* 0xBEF375CB, 0xDB605373 */
+ 2.59073051863633712884e-05, /* 0x3EFB2A70, 0x74BF7AD4 */
+};
+
+#ifdef __STDC__
+ double __kernel_tan(double x, double y, int iy)
+#else
+ double __kernel_tan(x, y, iy)
+ double x,y; int iy;
+#endif
+{
+ double z,r,v,w,s,r1,r2,r3,v1,v2,v3,w2,w4;
+ int32_t ix,hx;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff; /* high word of |x| */
+ if(ix<0x3e300000) /* x < 2**-28 */
+ {if((int)x==0) { /* generate inexact */
+ u_int32_t low;
+ GET_LOW_WORD(low,x);
+ if(((ix|low)|(iy+1))==0) return one/fabs(x);
+ else return (iy==1)? x: -one/x;
+ }
+ }
+ if(ix>=0x3FE59428) { /* |x|>=0.6744 */
+ if(hx<0) {x = -x; y = -y;}
+ z = pio4-x;
+ w = pio4lo-y;
+ x = z+w; y = 0.0;
+ }
+ z = x*x;
+ w = z*z;
+ /* Break x^5*(T[1]+x^2*T[2]+...) into
+ * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) +
+ * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12]))
+ */
+#ifdef DO_NOT_USE_THIS
+ r = T[1]+w*(T[3]+w*(T[5]+w*(T[7]+w*(T[9]+w*T[11]))));
+ v = z*(T[2]+w*(T[4]+w*(T[6]+w*(T[8]+w*(T[10]+w*T[12])))));
+#else
+ v1 = T[10]+w*T[12]; w2=w*w;
+ v2 = T[6]+w*T[8]; w4=w2*w2;
+ v3 = T[2]+w*T[4]; v1=z*v1;
+ r1 = T[9]+w*T[11]; v2=z*v2;
+ r2 = T[5]+w*T[7]; v3=z*v3;
+ r3 = T[1]+w*T[3];
+ v = v3 + w2*v2 + w4*v1;
+ r = r3 + w2*r2 + w4*r1;
+#endif
+ s = z*x;
+ r = y + z*(s*(r+v)+y);
+ r += T[0]*s;
+ w = x+r;
+ if(ix>=0x3FE59428) {
+ v = (double)iy;
+ return (double)(1-((hx>>30)&2))*(v-2.0*(x-(w*w/(w+v)-r)));
+ }
+ if(iy==1) return w;
+ else { /* if allow error up to 2 ulp,
+ simply return -1.0/(x+r) here */
+ /* compute -1.0/(x+r) accurately */
+ double a,t;
+ z = w;
+ SET_LOW_WORD(z,0);
+ v = r-(z - x); /* z+v = r+x */
+ t = a = -1.0/w; /* a = -1.0/w */
+ SET_LOW_WORD(t,0);
+ s = 1.0+t*z;
+ return t+a*(s+t*v);
+ }
+}
diff --git a/sysdeps/ieee754/mpn2dbl.c b/sysdeps/ieee754/dbl-64/mpn2dbl.c
index 8145eb9..8145eb9 100644
--- a/sysdeps/ieee754/mpn2dbl.c
+++ b/sysdeps/ieee754/dbl-64/mpn2dbl.c
diff --git a/sysdeps/ieee754/dbl-64/s_asinh.c b/sysdeps/ieee754/dbl-64/s_asinh.c
new file mode 100644
index 0000000..985cfe3
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_asinh.c
@@ -0,0 +1,70 @@
+/* @(#)s_asinh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_asinh.c,v 1.9 1995/05/12 04:57:37 jtc Exp $";
+#endif
+
+/* asinh(x)
+ * Method :
+ * Based on
+ * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ]
+ * we have
+ * asinh(x) := x if 1+x*x=1,
+ * := sign(x)*(log(x)+ln2)) for large |x|, else
+ * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else
+ * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2)))
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
+huge= 1.00000000000000000000e+300;
+
+#ifdef __STDC__
+ double __asinh(double x)
+#else
+ double __asinh(x)
+ double x;
+#endif
+{
+ double t,w;
+ int32_t hx,ix;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return x+x; /* x is inf or NaN */
+ if(ix< 0x3e300000) { /* |x|<2**-28 */
+ if(huge+x>one) return x; /* return x inexact except 0 */
+ }
+ if(ix>0x41b00000) { /* |x| > 2**28 */
+ w = __ieee754_log(fabs(x))+ln2;
+ } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */
+ t = fabs(x);
+ w = __ieee754_log(2.0*t+one/(__ieee754_sqrt(x*x+one)+t));
+ } else { /* 2.0 > |x| > 2**-28 */
+ t = x*x;
+ w =__log1p(fabs(x)+t/(one+__ieee754_sqrt(one+t)));
+ }
+ if(hx>0) return w; else return -w;
+}
+weak_alias (__asinh, asinh)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__asinh, __asinhl)
+weak_alias (__asinh, asinhl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_atan.c b/sysdeps/ieee754/dbl-64/s_atan.c
new file mode 100644
index 0000000..cad3ba1
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_atan.c
@@ -0,0 +1,163 @@
+/* @(#)s_atan.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/25,
+ for performance improvement on pipelined processors.
+*/
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_atan.c,v 1.8 1995/05/10 20:46:45 jtc Exp $";
+#endif
+
+/* atan(x)
+ * Method
+ * 1. Reduce x to positive by atan(x) = -atan(-x).
+ * 2. According to the integer k=4t+0.25 chopped, t=x, the argument
+ * is further reduced to one of the following intervals and the
+ * arctangent of t is evaluated by the corresponding formula:
+ *
+ * [0,7/16] atan(x) = t-t^3*(a1+t^2*(a2+...(a10+t^2*a11)...)
+ * [7/16,11/16] atan(x) = atan(1/2) + atan( (t-0.5)/(1+t/2) )
+ * [11/16.19/16] atan(x) = atan( 1 ) + atan( (t-1)/(1+t) )
+ * [19/16,39/16] atan(x) = atan(3/2) + atan( (t-1.5)/(1+1.5t) )
+ * [39/16,INF] atan(x) = atan(INF) + atan( -1/t )
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double atanhi[] = {
+#else
+static double atanhi[] = {
+#endif
+ 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */
+ 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */
+ 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */
+ 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */
+};
+
+#ifdef __STDC__
+static const double atanlo[] = {
+#else
+static double atanlo[] = {
+#endif
+ 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */
+ 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */
+ 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */
+ 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */
+};
+
+#ifdef __STDC__
+static const double aT[] = {
+#else
+static double aT[] = {
+#endif
+ 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */
+ -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */
+ 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */
+ -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */
+ 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */
+ -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */
+ 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */
+ -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */
+ 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */
+ -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */
+ 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */
+};
+
+#ifdef __STDC__
+ static const double
+#else
+ static double
+#endif
+one = 1.0,
+huge = 1.0e300;
+
+#ifdef __STDC__
+ double __atan(double x)
+#else
+ double __atan(x)
+ double x;
+#endif
+{
+ double w,s1,z,s,w2,w4,s11,s12,s13,s21,s22,s23;
+ int32_t ix,hx,id;
+
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x44100000) { /* if |x| >= 2^66 */
+ u_int32_t low;
+ GET_LOW_WORD(low,x);
+ if(ix>0x7ff00000||
+ (ix==0x7ff00000&&(low!=0)))
+ return x+x; /* NaN */
+ if(hx>0) return atanhi[3]+atanlo[3];
+ else return -atanhi[3]-atanlo[3];
+ } if (ix < 0x3fdc0000) { /* |x| < 0.4375 */
+ if (ix < 0x3e200000) { /* |x| < 2^-29 */
+ if(huge+x>one) return x; /* raise inexact */
+ }
+ id = -1;
+ } else {
+ x = fabs(x);
+ if (ix < 0x3ff30000) { /* |x| < 1.1875 */
+ if (ix < 0x3fe60000) { /* 7/16 <=|x|<11/16 */
+ id = 0; x = (2.0*x-one)/(2.0+x);
+ } else { /* 11/16<=|x|< 19/16 */
+ id = 1; x = (x-one)/(x+one);
+ }
+ } else {
+ if (ix < 0x40038000) { /* |x| < 2.4375 */
+ id = 2; x = (x-1.5)/(one+1.5*x);
+ } else { /* 2.4375 <= |x| < 2^66 */
+ id = 3; x = -1.0/x;
+ }
+ }}
+ /* end of argument reduction */
+ z = x*x;
+ w = z*z;
+ /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */
+#ifdef DO_NOT_USE_THIS
+ s1 = z*(aT[0]+w*(aT[2]+w*(aT[4]+w*(aT[6]+w*(aT[8]+w*aT[10])))));
+ s2 = w*(aT[1]+w*(aT[3]+w*(aT[5]+w*(aT[7]+w*aT[9]))));
+ if (id<0) return x - x*(s1+s2);
+ else {
+ z = atanhi[id] - ((x*(s1+s2) - atanlo[id]) - x);
+ return (hx<0)? -z:z;
+ }
+#else
+ s11 = aT[8]+w*aT[10]; w2=w*w;
+ s12 = aT[4]+w*aT[6]; w4=w2*w2;
+ s13 = aT[0]+w*aT[2];
+ s21 = aT[7]+w*aT[9];
+ s22 = aT[3]+w*aT[5];
+ s23 = w*aT[1];
+ s1 = s13 + w2*s12 + w4*s11;
+ s = s23 + w2*s22 + w4*s21 + z*s1;
+ if (id<0) return x - x*(s);
+ else {
+ z = atanhi[id] - ((x*(s) - atanlo[id]) - x);
+ return (hx<0)? -z:z;
+ }
+#endif
+}
+weak_alias (__atan, atan)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__atan, __atanl)
+weak_alias (__atan, atanl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_cbrt.c b/sysdeps/ieee754/dbl-64/s_cbrt.c
new file mode 100644
index 0000000..753049d
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_cbrt.c
@@ -0,0 +1,76 @@
+/* Compute cubic root of double value.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Dirk Alboth <dirka@uni-paderborn.de> and
+ Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#define CBRT2 1.2599210498948731648 /* 2^(1/3) */
+#define SQR_CBRT2 1.5874010519681994748 /* 2^(2/3) */
+
+static const double factor[5] =
+{
+ 1.0 / SQR_CBRT2,
+ 1.0 / CBRT2,
+ 1.0,
+ CBRT2,
+ SQR_CBRT2
+};
+
+
+double
+__cbrt (double x)
+{
+ double xm, ym, u, t2;
+ int xe;
+
+ /* Reduce X. XM now is an range 1.0 to 0.5. */
+ xm = __frexp (fabs (x), &xe);
+
+ /* If X is not finite or is null return it (with raising exceptions
+ if necessary.
+ Note: *Our* version of `frexp' sets XE to zero if the argument is
+ Inf or NaN. This is not portable but faster. */
+ if (xe == 0 && fpclassify (x) <= FP_ZERO)
+ return x + x;
+
+ u = (0.354895765043919860
+ + ((1.50819193781584896
+ + ((-2.11499494167371287
+ + ((2.44693122563534430
+ + ((-1.83469277483613086
+ + (0.784932344976639262 - 0.145263899385486377 * xm) * xm)
+ * xm))
+ * xm))
+ * xm))
+ * xm));
+
+ t2 = u * u * u;
+
+ ym = u * (t2 + 2.0 * xm) / (2.0 * t2 + xm) * factor[2 + xe % 3];
+
+ return __ldexp (x > 0.0 ? ym : -ym, xe / 3);
+}
+weak_alias (__cbrt, cbrt)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__cbrt, __cbrtl)
+weak_alias (__cbrt, cbrtl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_ceil.c b/sysdeps/ieee754/dbl-64/s_ceil.c
new file mode 100644
index 0000000..1b352a6
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_ceil.c
@@ -0,0 +1,85 @@
+/* @(#)s_ceil.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_ceil.c,v 1.8 1995/05/10 20:46:53 jtc Exp $";
+#endif
+
+/*
+ * ceil(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to ceil(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double huge = 1.0e300;
+#else
+static double huge = 1.0e300;
+#endif
+
+#ifdef __STDC__
+ double __ceil(double x)
+#else
+ double __ceil(x)
+ double x;
+#endif
+{
+ int32_t i0,i1,j0;
+ u_int32_t i,j;
+ EXTRACT_WORDS(i0,i1,x);
+ j0 = ((i0>>20)&0x7ff)-0x3ff;
+ if(j0<20) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0<0) {i0=0x80000000;i1=0;}
+ else if((i0|i1)!=0) { i0=0x3ff00000;i1=0;}
+ }
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0>0) i0 += (0x00100000)>>j0;
+ i0 &= (~i); i1=0;
+ }
+ }
+ } else if (j0>51) {
+ if(j0==0x400) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0>0) {
+ if(j0==20) i0+=1;
+ else {
+ j = i1 + (1<<(52-j0));
+ if(j<i1) i0+=1; /* got a carry */
+ i1 = j;
+ }
+ }
+ i1 &= (~i);
+ }
+ }
+ INSERT_WORDS(x,i0,i1);
+ return x;
+}
+weak_alias (__ceil, ceil)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__ceil, __ceill)
+weak_alias (__ceil, ceill)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_copysign.c b/sysdeps/ieee754/dbl-64/s_copysign.c
new file mode 100644
index 0000000..5e35e69
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_copysign.c
@@ -0,0 +1,43 @@
+/* @(#)s_copysign.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_copysign.c,v 1.8 1995/05/10 20:46:57 jtc Exp $";
+#endif
+
+/*
+ * copysign(double x, double y)
+ * copysign(x,y) returns a value with the magnitude of x and
+ * with the sign bit of y.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __copysign(double x, double y)
+#else
+ double __copysign(x,y)
+ double x,y;
+#endif
+{
+ u_int32_t hx,hy;
+ GET_HIGH_WORD(hx,x);
+ GET_HIGH_WORD(hy,y);
+ SET_HIGH_WORD(x,(hx&0x7fffffff)|(hy&0x80000000));
+ return x;
+}
+weak_alias (__copysign, copysign)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__copysign, __copysignl)
+weak_alias (__copysign, copysignl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_cos.c b/sysdeps/ieee754/dbl-64/s_cos.c
new file mode 100644
index 0000000..7edb5de
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_cos.c
@@ -0,0 +1,87 @@
+/* @(#)s_cos.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_cos.c,v 1.7 1995/05/10 20:47:02 jtc Exp $";
+#endif
+
+/* cos(x)
+ * Return cosine function of x.
+ *
+ * kernel function:
+ * __kernel_sin ... sine function on [-pi/4,pi/4]
+ * __kernel_cos ... cosine function on [-pi/4,pi/4]
+ * __ieee754_rem_pio2 ... 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
+ *
+ * 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
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __cos(double x)
+#else
+ double __cos(x)
+ double x;
+#endif
+{
+ double y[2],z=0.0;
+ int32_t n, ix;
+
+ /* High word of x. */
+ GET_HIGH_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) return __kernel_cos(x,z);
+
+ /* cos(Inf or NaN) is NaN */
+ else if (ix>=0x7ff00000) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2(x,y);
+ switch(n&3) {
+ case 0: return __kernel_cos(y[0],y[1]);
+ case 1: return -__kernel_sin(y[0],y[1],1);
+ case 2: return -__kernel_cos(y[0],y[1]);
+ default:
+ return __kernel_sin(y[0],y[1],1);
+ }
+ }
+}
+weak_alias (__cos, cos)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__cos, __cosl)
+weak_alias (__cos, cosl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_erf.c b/sysdeps/ieee754/dbl-64/s_erf.c
new file mode 100644
index 0000000..d8b6629
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_erf.c
@@ -0,0 +1,431 @@
+/* @(#)s_erf.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/25,
+ for performance improvement on pipelined processors.
+*/
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_erf.c,v 1.8 1995/05/10 20:47:05 jtc Exp $";
+#endif
+
+/* double erf(double x)
+ * double erfc(double x)
+ * x
+ * 2 |\
+ * erf(x) = --------- | exp(-t*t)dt
+ * sqrt(pi) \|
+ * 0
+ *
+ * erfc(x) = 1-erf(x)
+ * Note that
+ * erf(-x) = -erf(x)
+ * erfc(-x) = 2 - erfc(x)
+ *
+ * Method:
+ * 1. For |x| in [0, 0.84375]
+ * erf(x) = x + x*R(x^2)
+ * erfc(x) = 1 - erf(x) if x in [-.84375,0.25]
+ * = 0.5 + ((0.5-x)-x*R) if x in [0.25,0.84375]
+ * where R = P/Q where P is an odd poly of degree 8 and
+ * Q is an odd poly of degree 10.
+ * -57.90
+ * | R - (erf(x)-x)/x | <= 2
+ *
+ *
+ * Remark. The formula is derived by noting
+ * erf(x) = (2/sqrt(pi))*(x - x^3/3 + x^5/10 - x^7/42 + ....)
+ * and that
+ * 2/sqrt(pi) = 1.128379167095512573896158903121545171688
+ * is close to one. The interval is chosen because the fix
+ * point of erf(x) is near 0.6174 (i.e., erf(x)=x when x is
+ * near 0.6174), and by some experiment, 0.84375 is chosen to
+ * guarantee the error is less than one ulp for erf.
+ *
+ * 2. For |x| in [0.84375,1.25], let s = |x| - 1, and
+ * c = 0.84506291151 rounded to single (24 bits)
+ * erf(x) = sign(x) * (c + P1(s)/Q1(s))
+ * erfc(x) = (1-c) - P1(s)/Q1(s) if x > 0
+ * 1+(c+P1(s)/Q1(s)) if x < 0
+ * |P1/Q1 - (erf(|x|)-c)| <= 2**-59.06
+ * Remark: here we use the taylor series expansion at x=1.
+ * erf(1+s) = erf(1) + s*Poly(s)
+ * = 0.845.. + P1(s)/Q1(s)
+ * That is, we use rational approximation to approximate
+ * erf(1+s) - (c = (single)0.84506291151)
+ * Note that |P1/Q1|< 0.078 for x in [0.84375,1.25]
+ * where
+ * P1(s) = degree 6 poly in s
+ * Q1(s) = degree 6 poly in s
+ *
+ * 3. For x in [1.25,1/0.35(~2.857143)],
+ * erfc(x) = (1/x)*exp(-x*x-0.5625+R1/S1)
+ * erf(x) = 1 - erfc(x)
+ * where
+ * R1(z) = degree 7 poly in z, (z=1/x^2)
+ * S1(z) = degree 8 poly in z
+ *
+ * 4. For x in [1/0.35,28]
+ * erfc(x) = (1/x)*exp(-x*x-0.5625+R2/S2) if x > 0
+ * = 2.0 - (1/x)*exp(-x*x-0.5625+R2/S2) if -6<x<0
+ * = 2.0 - tiny (if x <= -6)
+ * erf(x) = sign(x)*(1.0 - erfc(x)) if x < 6, else
+ * erf(x) = sign(x)*(1.0 - tiny)
+ * where
+ * R2(z) = degree 6 poly in z, (z=1/x^2)
+ * S2(z) = degree 7 poly in z
+ *
+ * Note1:
+ * To compute exp(-x*x-0.5625+R/S), let s be a single
+ * precision number and s := x; then
+ * -x*x = -s*s + (s-x)*(s+x)
+ * exp(-x*x-0.5626+R/S) =
+ * exp(-s*s-0.5625)*exp((s-x)*(s+x)+R/S);
+ * Note2:
+ * Here 4 and 5 make use of the asymptotic series
+ * exp(-x*x)
+ * erfc(x) ~ ---------- * ( 1 + Poly(1/x^2) )
+ * x*sqrt(pi)
+ * We use rational approximation to approximate
+ * g(s)=f(1/x^2) = log(erfc(x)*x) - x*x + 0.5625
+ * Here is the error bound for R1/S1 and R2/S2
+ * |R1/S1 - f(x)| < 2**(-62.57)
+ * |R2/S2 - f(x)| < 2**(-61.52)
+ *
+ * 5. For inf > x >= 28
+ * erf(x) = sign(x) *(1 - tiny) (raise inexact)
+ * erfc(x) = tiny*tiny (raise underflow) if x > 0
+ * = 2 - tiny if x<0
+ *
+ * 7. Special case:
+ * erf(0) = 0, erf(inf) = 1, erf(-inf) = -1,
+ * erfc(0) = 1, erfc(inf) = 0, erfc(-inf) = 2,
+ * erfc/erf(NaN) is NaN
+ */
+
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+tiny = 1e-300,
+half= 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+two = 2.00000000000000000000e+00, /* 0x40000000, 0x00000000 */
+ /* c = (float)0.84506291151 */
+erx = 8.45062911510467529297e-01, /* 0x3FEB0AC1, 0x60000000 */
+/*
+ * Coefficients for approximation to erf on [0,0.84375]
+ */
+efx = 1.28379167095512586316e-01, /* 0x3FC06EBA, 0x8214DB69 */
+efx8= 1.02703333676410069053e+00, /* 0x3FF06EBA, 0x8214DB69 */
+pp[] = {1.28379167095512558561e-01, /* 0x3FC06EBA, 0x8214DB68 */
+ -3.25042107247001499370e-01, /* 0xBFD4CD7D, 0x691CB913 */
+ -2.84817495755985104766e-02, /* 0xBF9D2A51, 0xDBD7194F */
+ -5.77027029648944159157e-03, /* 0xBF77A291, 0x236668E4 */
+ -2.37630166566501626084e-05}, /* 0xBEF8EAD6, 0x120016AC */
+qq[] = {0.0, 3.97917223959155352819e-01, /* 0x3FD97779, 0xCDDADC09 */
+ 6.50222499887672944485e-02, /* 0x3FB0A54C, 0x5536CEBA */
+ 5.08130628187576562776e-03, /* 0x3F74D022, 0xC4D36B0F */
+ 1.32494738004321644526e-04, /* 0x3F215DC9, 0x221C1A10 */
+ -3.96022827877536812320e-06}, /* 0xBED09C43, 0x42A26120 */
+/*
+ * Coefficients for approximation to erf in [0.84375,1.25]
+ */
+pa[] = {-2.36211856075265944077e-03, /* 0xBF6359B8, 0xBEF77538 */
+ 4.14856118683748331666e-01, /* 0x3FDA8D00, 0xAD92B34D */
+ -3.72207876035701323847e-01, /* 0xBFD7D240, 0xFBB8C3F1 */
+ 3.18346619901161753674e-01, /* 0x3FD45FCA, 0x805120E4 */
+ -1.10894694282396677476e-01, /* 0xBFBC6398, 0x3D3E28EC */
+ 3.54783043256182359371e-02, /* 0x3FA22A36, 0x599795EB */
+ -2.16637559486879084300e-03}, /* 0xBF61BF38, 0x0A96073F */
+qa[] = {0.0, 1.06420880400844228286e-01, /* 0x3FBB3E66, 0x18EEE323 */
+ 5.40397917702171048937e-01, /* 0x3FE14AF0, 0x92EB6F33 */
+ 7.18286544141962662868e-02, /* 0x3FB2635C, 0xD99FE9A7 */
+ 1.26171219808761642112e-01, /* 0x3FC02660, 0xE763351F */
+ 1.36370839120290507362e-02, /* 0x3F8BEDC2, 0x6B51DD1C */
+ 1.19844998467991074170e-02}, /* 0x3F888B54, 0x5735151D */
+/*
+ * Coefficients for approximation to erfc in [1.25,1/0.35]
+ */
+ra[] = {-9.86494403484714822705e-03, /* 0xBF843412, 0x600D6435 */
+ -6.93858572707181764372e-01, /* 0xBFE63416, 0xE4BA7360 */
+ -1.05586262253232909814e+01, /* 0xC0251E04, 0x41B0E726 */
+ -6.23753324503260060396e+01, /* 0xC04F300A, 0xE4CBA38D */
+ -1.62396669462573470355e+02, /* 0xC0644CB1, 0x84282266 */
+ -1.84605092906711035994e+02, /* 0xC067135C, 0xEBCCABB2 */
+ -8.12874355063065934246e+01, /* 0xC0545265, 0x57E4D2F2 */
+ -9.81432934416914548592e+00}, /* 0xC023A0EF, 0xC69AC25C */
+sa[] = {0.0,1.96512716674392571292e+01, /* 0x4033A6B9, 0xBD707687 */
+ 1.37657754143519042600e+02, /* 0x4061350C, 0x526AE721 */
+ 4.34565877475229228821e+02, /* 0x407B290D, 0xD58A1A71 */
+ 6.45387271733267880336e+02, /* 0x40842B19, 0x21EC2868 */
+ 4.29008140027567833386e+02, /* 0x407AD021, 0x57700314 */
+ 1.08635005541779435134e+02, /* 0x405B28A3, 0xEE48AE2C */
+ 6.57024977031928170135e+00, /* 0x401A47EF, 0x8E484A93 */
+ -6.04244152148580987438e-02}, /* 0xBFAEEFF2, 0xEE749A62 */
+/*
+ * Coefficients for approximation to erfc in [1/.35,28]
+ */
+rb[] = {-9.86494292470009928597e-03, /* 0xBF843412, 0x39E86F4A */
+ -7.99283237680523006574e-01, /* 0xBFE993BA, 0x70C285DE */
+ -1.77579549177547519889e+01, /* 0xC031C209, 0x555F995A */
+ -1.60636384855821916062e+02, /* 0xC064145D, 0x43C5ED98 */
+ -6.37566443368389627722e+02, /* 0xC083EC88, 0x1375F228 */
+ -1.02509513161107724954e+03, /* 0xC0900461, 0x6A2E5992 */
+ -4.83519191608651397019e+02}, /* 0xC07E384E, 0x9BDC383F */
+sb[] = {0.0,3.03380607434824582924e+01, /* 0x403E568B, 0x261D5190 */
+ 3.25792512996573918826e+02, /* 0x40745CAE, 0x221B9F0A */
+ 1.53672958608443695994e+03, /* 0x409802EB, 0x189D5118 */
+ 3.19985821950859553908e+03, /* 0x40A8FFB7, 0x688C246A */
+ 2.55305040643316442583e+03, /* 0x40A3F219, 0xCEDF3BE6 */
+ 4.74528541206955367215e+02, /* 0x407DA874, 0xE79FE763 */
+ -2.24409524465858183362e+01}; /* 0xC03670E2, 0x42712D62 */
+
+#ifdef __STDC__
+ double __erf(double x)
+#else
+ double __erf(x)
+ double x;
+#endif
+{
+ int32_t hx,ix,i;
+ double R,S,P,Q,s,y,z,r;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) { /* erf(nan)=nan */
+ i = ((u_int32_t)hx>>31)<<1;
+ return (double)(1-i)+one/x; /* erf(+-inf)=+-1 */
+ }
+
+ if(ix < 0x3feb0000) { /* |x|<0.84375 */
+ double r1,r2,s1,s2,s3,z2,z4;
+ if(ix < 0x3e300000) { /* |x|<2**-28 */
+ if (ix < 0x00800000)
+ return 0.125*(8.0*x+efx8*x); /*avoid underflow */
+ return x + efx*x;
+ }
+ z = x*x;
+#ifdef DO_NOT_USE_THIS
+ r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
+ s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
+#else
+ r1 = pp[0]+z*pp[1]; z2=z*z;
+ r2 = pp[2]+z*pp[3]; z4=z2*z2;
+ s1 = one+z*qq[1];
+ s2 = qq[2]+z*qq[3];
+ s3 = qq[4]+z*qq[5];
+ r = r1 + z2*r2 + z4*pp[4];
+ s = s1 + z2*s2 + z4*s3;
+#endif
+ y = r/s;
+ return x + x*y;
+ }
+ if(ix < 0x3ff40000) { /* 0.84375 <= |x| < 1.25 */
+ double s2,s4,s6,P1,P2,P3,P4,Q1,Q2,Q3,Q4;
+ s = fabs(x)-one;
+#ifdef DO_NOT_USE_THIS
+ P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
+ Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
+#else
+ P1 = pa[0]+s*pa[1]; s2=s*s;
+ Q1 = one+s*qa[1]; s4=s2*s2;
+ P2 = pa[2]+s*pa[3]; s6=s4*s2;
+ Q2 = qa[2]+s*qa[3];
+ P3 = pa[4]+s*pa[5];
+ Q3 = qa[4]+s*qa[5];
+ P4 = s6*pa[6];
+ Q4 = s6*qa[6];
+ P = P1 + s2*P2 + s4*P3 + s6*P4;
+ Q = Q1 + s2*Q2 + s4*Q3 + s6*Q4;
+#endif
+ if(hx>=0) return erx + P/Q; else return -erx - P/Q;
+ }
+ if (ix >= 0x40180000) { /* inf>|x|>=6 */
+ if(hx>=0) return one-tiny; else return tiny-one;
+ }
+ x = fabs(x);
+ s = one/(x*x);
+ if(ix< 0x4006DB6E) { /* |x| < 1/0.35 */
+#ifdef DO_NOT_USE_THIS
+ R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
+ ra5+s*(ra6+s*ra7))))));
+ S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
+ sa5+s*(sa6+s*(sa7+s*sa8)))))));
+#else
+ double R1,R2,R3,R4,S1,S2,S3,S4,s2,s4,s6,s8;
+ R1 = ra[0]+s*ra[1];s2 = s*s;
+ S1 = one+s*sa[1]; s4 = s2*s2;
+ R2 = ra[2]+s*ra[3];s6 = s4*s2;
+ S2 = sa[2]+s*sa[3];s8 = s4*s4;
+ R3 = ra[4]+s*ra[5];
+ S3 = sa[4]+s*sa[5];
+ R4 = ra[6]+s*ra[7];
+ S4 = sa[6]+s*sa[7];
+ R = R1 + s2*R2 + s4*R3 + s6*R4;
+ S = S1 + s2*S2 + s4*S3 + s6*S4 + s8*sa[8];
+#endif
+ } else { /* |x| >= 1/0.35 */
+#ifdef DO_NOT_USE_THIS
+ R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
+ rb5+s*rb6)))));
+ S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
+ sb5+s*(sb6+s*sb7))))));
+#else
+ double R1,R2,R3,S1,S2,S3,S4,s2,s4,s6;
+ R1 = rb[0]+s*rb[1];s2 = s*s;
+ S1 = one+s*sb[1]; s4 = s2*s2;
+ R2 = rb[2]+s*rb[3];s6 = s4*s2;
+ S2 = sb[2]+s*sb[3];
+ R3 = rb[4]+s*rb[5];
+ S3 = sb[4]+s*sb[5];
+ S4 = sb[6]+s*sb[7];
+ R = R1 + s2*R2 + s4*R3 + s6*rb[6];
+ S = S1 + s2*S2 + s4*S3 + s6*S4;
+#endif
+ }
+ z = x;
+ SET_LOW_WORD(z,0);
+ r = __ieee754_exp(-z*z-0.5625)*__ieee754_exp((z-x)*(z+x)+R/S);
+ if(hx>=0) return one-r/x; else return r/x-one;
+}
+weak_alias (__erf, erf)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__erf, __erfl)
+weak_alias (__erf, erfl)
+#endif
+
+#ifdef __STDC__
+ double __erfc(double x)
+#else
+ double __erfc(x)
+ double x;
+#endif
+{
+ int32_t hx,ix;
+ double R,S,P,Q,s,y,z,r;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) { /* erfc(nan)=nan */
+ /* erfc(+-inf)=0,2 */
+ return (double)(((u_int32_t)hx>>31)<<1)+one/x;
+ }
+
+ if(ix < 0x3feb0000) { /* |x|<0.84375 */
+ double r1,r2,s1,s2,s3,z2,z4;
+ if(ix < 0x3c700000) /* |x|<2**-56 */
+ return one-x;
+ z = x*x;
+#ifdef DO_NOT_USE_THIS
+ r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
+ s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
+#else
+ r1 = pp[0]+z*pp[1]; z2=z*z;
+ r2 = pp[2]+z*pp[3]; z4=z2*z2;
+ s1 = one+z*qq[1];
+ s2 = qq[2]+z*qq[3];
+ s3 = qq[4]+z*qq[5];
+ r = r1 + z2*r2 + z4*pp[4];
+ s = s1 + z2*s2 + z4*s3;
+#endif
+ y = r/s;
+ if(hx < 0x3fd00000) { /* x<1/4 */
+ return one-(x+x*y);
+ } else {
+ r = x*y;
+ r += (x-half);
+ return half - r ;
+ }
+ }
+ if(ix < 0x3ff40000) { /* 0.84375 <= |x| < 1.25 */
+ double s2,s4,s6,P1,P2,P3,P4,Q1,Q2,Q3,Q4;
+ s = fabs(x)-one;
+#ifdef DO_NOT_USE_THIS
+ P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
+ Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
+#else
+ P1 = pa[0]+s*pa[1]; s2=s*s;
+ Q1 = one+s*qa[1]; s4=s2*s2;
+ P2 = pa[2]+s*pa[3]; s6=s4*s2;
+ Q2 = qa[2]+s*qa[3];
+ P3 = pa[4]+s*pa[5];
+ Q3 = qa[4]+s*qa[5];
+ P4 = s6*pa[6];
+ Q4 = s6*qa[6];
+ P = P1 + s2*P2 + s4*P3 + s6*P4;
+ Q = Q1 + s2*Q2 + s4*Q3 + s6*Q4;
+#endif
+ if(hx>=0) {
+ z = one-erx; return z - P/Q;
+ } else {
+ z = erx+P/Q; return one+z;
+ }
+ }
+ if (ix < 0x403c0000) { /* |x|<28 */
+ x = fabs(x);
+ s = one/(x*x);
+ if(ix< 0x4006DB6D) { /* |x| < 1/.35 ~ 2.857143*/
+#ifdef DO_NOT_USE_THIS
+ R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
+ ra5+s*(ra6+s*ra7))))));
+ S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
+ sa5+s*(sa6+s*(sa7+s*sa8)))))));
+#else
+ double R1,R2,R3,R4,S1,S2,S3,S4,s2,s4,s6,s8;
+ R1 = ra[0]+s*ra[1];s2 = s*s;
+ S1 = one+s*sa[1]; s4 = s2*s2;
+ R2 = ra[2]+s*ra[3];s6 = s4*s2;
+ S2 = sa[2]+s*sa[3];s8 = s4*s4;
+ R3 = ra[4]+s*ra[5];
+ S3 = sa[4]+s*sa[5];
+ R4 = ra[6]+s*ra[7];
+ S4 = sa[6]+s*sa[7];
+ R = R1 + s2*R2 + s4*R3 + s6*R4;
+ S = S1 + s2*S2 + s4*S3 + s6*S4 + s8*sa[8];
+#endif
+ } else { /* |x| >= 1/.35 ~ 2.857143 */
+ double R1,R2,R3,S1,S2,S3,S4,s2,s4,s6;
+ if(hx<0&&ix>=0x40180000) return two-tiny;/* x < -6 */
+#ifdef DO_NOT_USE_THIS
+ R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
+ rb5+s*rb6)))));
+ S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
+ sb5+s*(sb6+s*sb7))))));
+#else
+ R1 = rb[0]+s*rb[1];s2 = s*s;
+ S1 = one+s*sb[1]; s4 = s2*s2;
+ R2 = rb[2]+s*rb[3];s6 = s4*s2;
+ S2 = sb[2]+s*sb[3];
+ R3 = rb[4]+s*rb[5];
+ S3 = sb[4]+s*sb[5];
+ S4 = sb[6]+s*sb[7];
+ R = R1 + s2*R2 + s4*R3 + s6*rb[6];
+ S = S1 + s2*S2 + s4*S3 + s6*S4;
+#endif
+ }
+ z = x;
+ SET_LOW_WORD(z,0);
+ r = __ieee754_exp(-z*z-0.5625)*
+ __ieee754_exp((z-x)*(z+x)+R/S);
+ if(hx>0) return r/x; else return two-r/x;
+ } else {
+ if(hx>0) return tiny*tiny; else return two-tiny;
+ }
+}
+weak_alias (__erfc, erfc)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__erfc, __erfcl)
+weak_alias (__erfc, erfcl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_exp2.c b/sysdeps/ieee754/dbl-64/s_exp2.c
new file mode 100644
index 0000000..875d4d6
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_exp2.c
@@ -0,0 +1,129 @@
+/* Double-precision floating point 2^x.
+ Copyright (C) 1997, 1998 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Geoffrey Keating <geoffk@ozemail.com.au>
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+/* The basic design here is from
+ Shmuel Gal and Boris Bachelis, "An Accurate Elementary Mathematical
+ Library for the IEEE Floating Point Standard", ACM Trans. Math. Soft.,
+ 17 (1), March 1991, pp. 26-45.
+ It has been slightly modified to compute 2^x instead of e^x.
+ */
+#ifndef _GNU_SOURCE
+#define _GNU_SOURCE
+#endif
+#include <float.h>
+#include <ieee754.h>
+#include <math.h>
+#include <fenv.h>
+#include <inttypes.h>
+#include <math_private.h>
+
+#include "t_exp2.h"
+
+static const volatile double TWO1023 = 8.988465674311579539e+307;
+static const volatile double TWOM1000 = 9.3326361850321887899e-302;
+
+double
+__ieee754_exp2 (double x)
+{
+ static const double himark = (double) DBL_MAX_EXP;
+ static const double lomark = (double) (DBL_MIN_EXP - DBL_MANT_DIG - 1) - 1.0;
+
+ /* Check for usual case. */
+ if (isless (x, himark) && isgreater (x, lomark))
+ {
+ static const double THREEp42 = 13194139533312.0;
+ int tval, unsafe;
+ double rx, x22, result;
+ union ieee754_double ex2_u, scale_u;
+ fenv_t oldenv;
+
+ feholdexcept (&oldenv);
+#ifdef FE_TONEAREST
+ /* If we don't have this, it's too bad. */
+ fesetround (FE_TONEAREST);
+#endif
+
+ /* 1. Argument reduction.
+ Choose integers ex, -256 <= t < 256, and some real
+ -1/1024 <= x1 <= 1024 so that
+ x = ex + t/512 + x1.
+
+ First, calculate rx = ex + t/512. */
+ rx = x + THREEp42;
+ rx -= THREEp42;
+ x -= rx; /* Compute x=x1. */
+ /* Compute tval = (ex*512 + t)+256.
+ Now, t = (tval mod 512)-256 and ex=tval/512 [that's mod, NOT %; and
+ /-round-to-nearest not the usual c integer /]. */
+ tval = (int) (rx * 512.0 + 256.0);
+
+ /* 2. Adjust for accurate table entry.
+ Find e so that
+ x = ex + t/512 + e + x2
+ where -1e6 < e < 1e6, and
+ (double)(2^(t/512+e))
+ is accurate to one part in 2^-64. */
+
+ /* 'tval & 511' is the same as 'tval%512' except that it's always
+ positive.
+ Compute x = x2. */
+ x -= exp2_deltatable[tval & 511];
+
+ /* 3. Compute ex2 = 2^(t/512+e+ex). */
+ ex2_u.d = exp2_accuratetable[tval & 511];
+ tval >>= 9;
+ unsafe = abs(tval) >= -DBL_MIN_EXP - 1;
+ ex2_u.ieee.exponent += tval >> unsafe;
+ scale_u.d = 1.0;
+ scale_u.ieee.exponent += tval - (tval >> unsafe);
+
+ /* 4. Approximate 2^x2 - 1, using a fourth-degree polynomial,
+ with maximum error in [-2^-10-2^-30,2^-10+2^-30]
+ less than 10^-19. */
+
+ x22 = (((.0096181293647031180
+ * x + .055504110254308625)
+ * x + .240226506959100583)
+ * x + .69314718055994495) * ex2_u.d;
+
+ /* 5. Return (2^x2-1) * 2^(t/512+e+ex) + 2^(t/512+e+ex). */
+ fesetenv (&oldenv);
+
+ result = x22 * x + ex2_u.d;
+
+ if (!unsafe)
+ return result;
+ else
+ return result * scale_u.d;
+ }
+ /* Exceptional cases: */
+ else if (isless (x, himark))
+ {
+ if (__isinf (x))
+ /* e^-inf == 0, with no error. */
+ return 0;
+ else
+ /* Underflow */
+ return TWOM1000 * TWOM1000;
+ }
+ else
+ /* Return x, if x is a NaN or Inf; or overflow, otherwise. */
+ return TWO1023*x;
+}
diff --git a/sysdeps/ieee754/dbl-64/s_expm1.c b/sysdeps/ieee754/dbl-64/s_expm1.c
new file mode 100644
index 0000000..bfd15b2
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_expm1.c
@@ -0,0 +1,243 @@
+/* @(#)s_expm1.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/25,
+ for performance improvement on pipelined processors.
+*/
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_expm1.c,v 1.8 1995/05/10 20:47:09 jtc Exp $";
+#endif
+
+/* expm1(x)
+ * Returns exp(x)-1, the exponential of x minus 1.
+ *
+ * Method
+ * 1. Argument reduction:
+ * Given x, find r and integer k such that
+ *
+ * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658
+ *
+ * Here a correction term c will be computed to compensate
+ * the error in r when rounded to a floating-point number.
+ *
+ * 2. Approximating expm1(r) by a special rational function on
+ * the interval [0,0.34658]:
+ * Since
+ * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 - r^4/360 + ...
+ * we define R1(r*r) by
+ * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 * R1(r*r)
+ * That is,
+ * R1(r**2) = 6/r *((exp(r)+1)/(exp(r)-1) - 2/r)
+ * = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r))
+ * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ...
+ * We use a special Reme algorithm on [0,0.347] to generate
+ * a polynomial of degree 5 in r*r to approximate R1. The
+ * maximum error of this polynomial approximation is bounded
+ * by 2**-61. In other words,
+ * R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5
+ * where Q1 = -1.6666666666666567384E-2,
+ * Q2 = 3.9682539681370365873E-4,
+ * Q3 = -9.9206344733435987357E-6,
+ * Q4 = 2.5051361420808517002E-7,
+ * Q5 = -6.2843505682382617102E-9;
+ * (where z=r*r, and the values of Q1 to Q5 are listed below)
+ * with error bounded by
+ * | 5 | -61
+ * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2
+ * | |
+ *
+ * expm1(r) = exp(r)-1 is then computed by the following
+ * specific way which minimize the accumulation rounding error:
+ * 2 3
+ * r r [ 3 - (R1 + R1*r/2) ]
+ * expm1(r) = r + --- + --- * [--------------------]
+ * 2 2 [ 6 - r*(3 - R1*r/2) ]
+ *
+ * To compensate the error in the argument reduction, we use
+ * expm1(r+c) = expm1(r) + c + expm1(r)*c
+ * ~ expm1(r) + c + r*c
+ * Thus c+r*c will be added in as the correction terms for
+ * expm1(r+c). Now rearrange the term to avoid optimization
+ * screw up:
+ * ( 2 2 )
+ * ({ ( r [ R1 - (3 - R1*r/2) ] ) } r )
+ * expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- )
+ * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 )
+ * ( )
+ *
+ * = r - E
+ * 3. Scale back to obtain expm1(x):
+ * From step 1, we have
+ * expm1(x) = either 2^k*[expm1(r)+1] - 1
+ * = or 2^k*[expm1(r) + (1-2^-k)]
+ * 4. Implementation notes:
+ * (A). To save one multiplication, we scale the coefficient Qi
+ * to Qi*2^i, and replace z by (x^2)/2.
+ * (B). To achieve maximum accuracy, we compute expm1(x) by
+ * (i) if x < -56*ln2, return -1.0, (raise inexact if x!=inf)
+ * (ii) if k=0, return r-E
+ * (iii) if k=-1, return 0.5*(r-E)-0.5
+ * (iv) if k=1 if r < -0.25, return 2*((r+0.5)- E)
+ * else return 1.0+2.0*(r-E);
+ * (v) if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1)
+ * (vi) if k <= 20, return 2^k((1-2^-k)-(E-r)), else
+ * (vii) return 2^k(1-((E+2^-k)-r))
+ *
+ * Special cases:
+ * expm1(INF) is INF, expm1(NaN) is NaN;
+ * expm1(-INF) is -1, and
+ * for finite argument, only expm1(0)=0 is exact.
+ *
+ * Accuracy:
+ * according to an error analysis, the error is always less than
+ * 1 ulp (unit in the last place).
+ *
+ * Misc. info.
+ * For IEEE double
+ * if x > 7.09782712893383973096e+02 then expm1(x) overflow
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+#define one Q[0]
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+huge = 1.0e+300,
+tiny = 1.0e-300,
+o_threshold = 7.09782712893383973096e+02,/* 0x40862E42, 0xFEFA39EF */
+ln2_hi = 6.93147180369123816490e-01,/* 0x3fe62e42, 0xfee00000 */
+ln2_lo = 1.90821492927058770002e-10,/* 0x3dea39ef, 0x35793c76 */
+invln2 = 1.44269504088896338700e+00,/* 0x3ff71547, 0x652b82fe */
+ /* scaled coefficients related to expm1 */
+Q[] = {1.0, -3.33333333333331316428e-02, /* BFA11111 111110F4 */
+ 1.58730158725481460165e-03, /* 3F5A01A0 19FE5585 */
+ -7.93650757867487942473e-05, /* BF14CE19 9EAADBB7 */
+ 4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */
+ -2.01099218183624371326e-07}; /* BE8AFDB7 6E09C32D */
+
+#ifdef __STDC__
+ double __expm1(double x)
+#else
+ double __expm1(x)
+ double x;
+#endif
+{
+ double y,hi,lo,c,t,e,hxs,hfx,r1,h2,h4,R1,R2,R3;
+ int32_t k,xsb;
+ u_int32_t hx;
+
+ GET_HIGH_WORD(hx,x);
+ xsb = hx&0x80000000; /* sign bit of x */
+ if(xsb==0) y=x; else y= -x; /* y = |x| */
+ hx &= 0x7fffffff; /* high word of |x| */
+
+ /* filter out huge and non-finite argument */
+ if(hx >= 0x4043687A) { /* if |x|>=56*ln2 */
+ if(hx >= 0x40862E42) { /* if |x|>=709.78... */
+ if(hx>=0x7ff00000) {
+ u_int32_t low;
+ GET_LOW_WORD(low,x);
+ if(((hx&0xfffff)|low)!=0)
+ return x+x; /* NaN */
+ else return (xsb==0)? x:-1.0;/* exp(+-inf)={inf,-1} */
+ }
+ if(x > o_threshold) return huge*huge; /* overflow */
+ }
+ if(xsb!=0) { /* x < -56*ln2, return -1.0 with inexact */
+ if(x+tiny<0.0) /* raise inexact */
+ return tiny-one; /* return -1 */
+ }
+ }
+
+ /* argument reduction */
+ if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */
+ if(hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */
+ if(xsb==0)
+ {hi = x - ln2_hi; lo = ln2_lo; k = 1;}
+ else
+ {hi = x + ln2_hi; lo = -ln2_lo; k = -1;}
+ } else {
+ k = invln2*x+((xsb==0)?0.5:-0.5);
+ t = k;
+ hi = x - t*ln2_hi; /* t*ln2_hi is exact here */
+ lo = t*ln2_lo;
+ }
+ x = hi - lo;
+ c = (hi-x)-lo;
+ }
+ else if(hx < 0x3c900000) { /* when |x|<2**-54, return x */
+ t = huge+x; /* return x with inexact flags when x!=0 */
+ return x - (t-(huge+x));
+ }
+ else k = 0;
+
+ /* x is now in primary range */
+ hfx = 0.5*x;
+ hxs = x*hfx;
+#ifdef DO_NOT_USE_THIS
+ r1 = one+hxs*(Q1+hxs*(Q2+hxs*(Q3+hxs*(Q4+hxs*Q5))));
+#else
+ R1 = one+hxs*Q[1]; h2 = hxs*hxs;
+ R2 = Q[2]+hxs*Q[3]; h4 = h2*h2;
+ R3 = Q[4]+hxs*Q[5];
+ r1 = R1 + h2*R2 + h4*R3;
+#endif
+ t = 3.0-r1*hfx;
+ e = hxs*((r1-t)/(6.0 - x*t));
+ if(k==0) return x - (x*e-hxs); /* c is 0 */
+ else {
+ e = (x*(e-c)-c);
+ e -= hxs;
+ if(k== -1) return 0.5*(x-e)-0.5;
+ if(k==1) {
+ if(x < -0.25) return -2.0*(e-(x+0.5));
+ else return one+2.0*(x-e);
+ }
+ if (k <= -2 || k>56) { /* suffice to return exp(x)-1 */
+ u_int32_t high;
+ y = one-(e-x);
+ GET_HIGH_WORD(high,y);
+ SET_HIGH_WORD(y,high+(k<<20)); /* add k to y's exponent */
+ return y-one;
+ }
+ t = one;
+ if(k<20) {
+ u_int32_t high;
+ SET_HIGH_WORD(t,0x3ff00000 - (0x200000>>k)); /* t=1-2^-k */
+ y = t-(e-x);
+ GET_HIGH_WORD(high,y);
+ SET_HIGH_WORD(y,high+(k<<20)); /* add k to y's exponent */
+ } else {
+ u_int32_t high;
+ SET_HIGH_WORD(t,((0x3ff-k)<<20)); /* 2^-k */
+ y = x-(e+t);
+ y += one;
+ GET_HIGH_WORD(high,y);
+ SET_HIGH_WORD(y,high+(k<<20)); /* add k to y's exponent */
+ }
+ }
+ return y;
+}
+weak_alias (__expm1, expm1)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__expm1, __expm1l)
+weak_alias (__expm1, expm1l)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_fabs.c b/sysdeps/ieee754/dbl-64/s_fabs.c
new file mode 100644
index 0000000..1abe943
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_fabs.c
@@ -0,0 +1,40 @@
+/* @(#)s_fabs.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_fabs.c,v 1.7 1995/05/10 20:47:13 jtc Exp $";
+#endif
+
+/*
+ * fabs(x) returns the absolute value of x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __fabs(double x)
+#else
+ double __fabs(x)
+ double x;
+#endif
+{
+ u_int32_t high;
+ GET_HIGH_WORD(high,x);
+ SET_HIGH_WORD(x,high&0x7fffffff);
+ return x;
+}
+weak_alias (__fabs, fabs)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__fabs, __fabsl)
+weak_alias (__fabs, fabsl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_finite.c b/sysdeps/ieee754/dbl-64/s_finite.c
new file mode 100644
index 0000000..b12ff42
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_finite.c
@@ -0,0 +1,40 @@
+/* @(#)s_finite.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_finite.c,v 1.8 1995/05/10 20:47:17 jtc Exp $";
+#endif
+
+/*
+ * finite(x) returns 1 is x is finite, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __finite(double x)
+#else
+ int __finite(x)
+ double x;
+#endif
+{
+ int32_t hx;
+ GET_HIGH_WORD(hx,x);
+ return (int)((u_int32_t)((hx&0x7fffffff)-0x7ff00000)>>31);
+}
+weak_alias (__finite, finite)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__finite, __finitel)
+weak_alias (__finite, finitel)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_floor.c b/sysdeps/ieee754/dbl-64/s_floor.c
new file mode 100644
index 0000000..77db9ef
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_floor.c
@@ -0,0 +1,86 @@
+/* @(#)s_floor.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_floor.c,v 1.8 1995/05/10 20:47:20 jtc Exp $";
+#endif
+
+/*
+ * floor(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to floor(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double huge = 1.0e300;
+#else
+static double huge = 1.0e300;
+#endif
+
+#ifdef __STDC__
+ double __floor(double x)
+#else
+ double __floor(x)
+ double x;
+#endif
+{
+ int32_t i0,i1,j0;
+ u_int32_t i,j;
+ EXTRACT_WORDS(i0,i1,x);
+ j0 = ((i0>>20)&0x7ff)-0x3ff;
+ if(j0<20) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0>=0) {i0=i1=0;}
+ else if(((i0&0x7fffffff)|i1)!=0)
+ { i0=0xbff00000;i1=0;}
+ }
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0<0) i0 += (0x00100000)>>j0;
+ i0 &= (~i); i1=0;
+ }
+ }
+ } else if (j0>51) {
+ if(j0==0x400) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0<0) {
+ if(j0==20) i0+=1;
+ else {
+ j = i1+(1<<(52-j0));
+ if(j<i1) i0 +=1 ; /* got a carry */
+ i1=j;
+ }
+ }
+ i1 &= (~i);
+ }
+ }
+ INSERT_WORDS(x,i0,i1);
+ return x;
+}
+weak_alias (__floor, floor)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__floor, __floorl)
+weak_alias (__floor, floorl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_fpclassify.c b/sysdeps/ieee754/dbl-64/s_fpclassify.c
new file mode 100644
index 0000000..72a1536
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_fpclassify.c
@@ -0,0 +1,43 @@
+/* Return classification value corresponding to argument.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+int
+__fpclassify (double x)
+{
+ u_int32_t hx, lx;
+ int retval = FP_NORMAL;
+
+ EXTRACT_WORDS (hx, lx, x);
+ lx |= hx & 0xfffff;
+ hx &= 0x7ff00000;
+ if ((hx | lx) == 0)
+ retval = FP_ZERO;
+ else if (hx == 0)
+ retval = FP_SUBNORMAL;
+ else if (hx == 0x7ff00000)
+ retval = lx != 0 ? FP_NAN : FP_INFINITE;
+
+ return retval;
+}
diff --git a/sysdeps/ieee754/dbl-64/s_frexp.c b/sysdeps/ieee754/dbl-64/s_frexp.c
new file mode 100644
index 0000000..7dbddfd
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_frexp.c
@@ -0,0 +1,64 @@
+/* @(#)s_frexp.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_frexp.c,v 1.9 1995/05/10 20:47:24 jtc Exp $";
+#endif
+
+/*
+ * for non-zero x
+ * x = frexp(arg,&exp);
+ * return a double fp quantity x such that 0.5 <= |x| <1.0
+ * and the corresponding binary exponent "exp". That is
+ * arg = x*2^exp.
+ * If arg is inf, 0.0, or NaN, then frexp(arg,&exp) returns arg
+ * with *exp=0.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+two54 = 1.80143985094819840000e+16; /* 0x43500000, 0x00000000 */
+
+#ifdef __STDC__
+ double __frexp(double x, int *eptr)
+#else
+ double __frexp(x, eptr)
+ double x; int *eptr;
+#endif
+{
+ int32_t hx, ix, lx;
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ *eptr = 0;
+ if(ix>=0x7ff00000||((ix|lx)==0)) return x; /* 0,inf,nan */
+ if (ix<0x00100000) { /* subnormal */
+ x *= two54;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ *eptr = -54;
+ }
+ *eptr += (ix>>20)-1022;
+ hx = (hx&0x800fffff)|0x3fe00000;
+ SET_HIGH_WORD(x,hx);
+ return x;
+}
+weak_alias (__frexp, frexp)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__frexp, __frexpl)
+weak_alias (__frexp, frexpl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_ilogb.c b/sysdeps/ieee754/dbl-64/s_ilogb.c
new file mode 100644
index 0000000..820f01c
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_ilogb.c
@@ -0,0 +1,56 @@
+/* @(#)s_ilogb.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_ilogb.c,v 1.9 1995/05/10 20:47:28 jtc Exp $";
+#endif
+
+/* ilogb(double x)
+ * return the binary exponent of non-zero x
+ * ilogb(0) = 0x80000001
+ * ilogb(inf/NaN) = 0x7fffffff (no signal is raised)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __ilogb(double x)
+#else
+ int __ilogb(x)
+ double x;
+#endif
+{
+ int32_t hx,lx,ix;
+
+ GET_HIGH_WORD(hx,x);
+ hx &= 0x7fffffff;
+ if(hx<0x00100000) {
+ GET_LOW_WORD(lx,x);
+ if((hx|lx)==0)
+ return FP_ILOGB0; /* ilogb(0) = FP_ILOGB0 */
+ else /* subnormal x */
+ if(hx==0) {
+ for (ix = -1043; lx>0; lx<<=1) ix -=1;
+ } else {
+ for (ix = -1022,hx<<=11; hx>0; hx<<=1) ix -=1;
+ }
+ return ix;
+ }
+ else if (hx<0x7ff00000) return (hx>>20)-1023;
+ else return FP_ILOGBNAN;
+}
+weak_alias (__ilogb, ilogb)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__ilogb, __ilogbl)
+weak_alias (__ilogb, ilogbl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_isinf.c b/sysdeps/ieee754/dbl-64/s_isinf.c
new file mode 100644
index 0000000..4f063d0
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_isinf.c
@@ -0,0 +1,32 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Changed to return -1 for -Inf by Ulrich Drepper <drepper@cygnus.com>.
+ * Public domain.
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_isinf.c,v 1.3 1995/05/11 23:20:14 jtc Exp $";
+#endif
+
+/*
+ * isinf(x) returns 1 is x is inf, -1 if x is -inf, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+int
+__isinf (double x)
+{
+ int32_t hx,lx;
+ EXTRACT_WORDS(hx,lx,x);
+ lx |= (hx & 0x7fffffff) ^ 0x7ff00000;
+ lx |= -lx;
+ return ~(lx >> 31) & (hx >> 30);
+}
+weak_alias (__isinf, isinf)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__isinf, __isinfl)
+weak_alias (__isinf, isinfl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_isnan.c b/sysdeps/ieee754/dbl-64/s_isnan.c
new file mode 100644
index 0000000..86301e1
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_isnan.c
@@ -0,0 +1,43 @@
+/* @(#)s_isnan.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_isnan.c,v 1.8 1995/05/10 20:47:36 jtc Exp $";
+#endif
+
+/*
+ * isnan(x) returns 1 is x is nan, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __isnan(double x)
+#else
+ int __isnan(x)
+ double x;
+#endif
+{
+ int32_t hx,lx;
+ EXTRACT_WORDS(hx,lx,x);
+ hx &= 0x7fffffff;
+ hx |= (u_int32_t)(lx|(-lx))>>31;
+ hx = 0x7ff00000 - hx;
+ return (int)(((u_int32_t)hx)>>31);
+}
+weak_alias (__isnan, isnan)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__isnan, __isnanl)
+weak_alias (__isnan, isnanl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_llrint.c b/sysdeps/ieee754/dbl-64/s_llrint.c
new file mode 100644
index 0000000..8e70bcf
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_llrint.c
@@ -0,0 +1,95 @@
+/* Round argument to nearest integral value according to current rounding
+ direction.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+static const long double two52[2] =
+{
+ 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
+ -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */
+};
+
+
+long long int
+__llrint (double x)
+{
+ int32_t j0;
+ u_int32_t i1, i0;
+ long long int result;
+ volatile double w;
+ double t;
+ int sx;
+
+ EXTRACT_WORDS (i0, i1, x);
+ j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
+ sx = i0 >> 31;
+ i0 &= 0xfffff;
+ i0 |= 0x100000;
+
+ if (j0 < 20)
+ {
+ if (j0 < -1)
+ return 0;
+ else
+ {
+ w = two52[sx] + x;
+ t = w - two52[sx];
+ EXTRACT_WORDS (i0, i1, t);
+ j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
+ i0 &= 0xfffff;
+ i0 |= 0x100000;
+
+ result = i0 >> (20 - j0);
+ }
+ }
+ else if (j0 < (int32_t) (8 * sizeof (long long int)) - 1)
+ {
+ if (j0 >= 52)
+ result = (((long long int) i0 << 32) | i1) << (j0 - 52);
+ else
+ {
+ w = two52[sx] + x;
+ t = w - two52[sx];
+ EXTRACT_WORDS (i0, i1, t);
+ j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
+ i0 &= 0xfffff;
+ i0 |= 0x100000;
+
+ result = ((long long int) i0 << (j0 - 20)) | (i1 >> (52 - j0));
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long long int) x;
+ }
+
+ return sx ? -result : result;
+}
+
+weak_alias (__llrint, llrint)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__llrint, __llrintl)
+weak_alias (__llrint, llrintl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_llround.c b/sysdeps/ieee754/dbl-64/s_llround.c
new file mode 100644
index 0000000..92ce10f
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_llround.c
@@ -0,0 +1,81 @@
+/* Round double value to long long int.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+long long int
+__llround (double x)
+{
+ int32_t j0;
+ u_int32_t i1, i0;
+ long long int result;
+ int sign;
+
+ EXTRACT_WORDS (i0, i1, x);
+ j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
+ sign = (i0 & 0x80000000) != 0 ? -1 : 1;
+ i0 &= 0xfffff;
+ i0 |= 0x100000;
+
+ if (j0 < 20)
+ {
+ if (j0 < 0)
+ return j0 < -1 ? 0 : sign;
+ else
+ {
+ i0 += 0x80000 >> j0;
+
+ result = i0 >> (20 - j0);
+ }
+ }
+ else if (j0 < (int32_t) (8 * sizeof (long long int)) - 1)
+ {
+ if (j0 >= 52)
+ result = (((long long int) i0 << 32) | i1) << (j0 - 52);
+ else
+ {
+ u_int32_t j = i1 + (0x80000000 >> (j0 - 20));
+ if (j < i1)
+ ++i0;
+
+ if (j0 == 20)
+ result = (long long int) i0;
+ else
+ result = ((long long int) i0 << (j0 - 20)) | (j >> (52 - j0));
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long long int) x;
+ }
+
+ return sign * result;
+}
+
+weak_alias (__llround, llround)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__llround, __llroundl)
+weak_alias (__llround, llroundl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_log1p.c b/sysdeps/ieee754/dbl-64/s_log1p.c
new file mode 100644
index 0000000..0a9801a
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_log1p.c
@@ -0,0 +1,191 @@
+/* @(#)s_log1p.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/25,
+ for performance improvement on pipelined processors.
+*/
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_log1p.c,v 1.8 1995/05/10 20:47:46 jtc Exp $";
+#endif
+
+/* double log1p(double x)
+ *
+ * Method :
+ * 1. Argument Reduction: find k and f such that
+ * 1+x = 2^k * (1+f),
+ * where sqrt(2)/2 < 1+f < sqrt(2) .
+ *
+ * Note. If k=0, then f=x is exact. However, if k!=0, then f
+ * may not be representable exactly. In that case, a correction
+ * term is need. Let u=1+x rounded. Let c = (1+x)-u, then
+ * log(1+x) - log(u) ~ c/u. Thus, we proceed to compute log(u),
+ * and add back the correction term c/u.
+ * (Note: when x > 2**53, one can simply return log(x))
+ *
+ * 2. Approximation of log1p(f).
+ * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s)
+ * = 2s + 2/3 s**3 + 2/5 s**5 + .....,
+ * = 2s + s*R
+ * We use a special Reme algorithm on [0,0.1716] to generate
+ * a polynomial of degree 14 to approximate R The maximum error
+ * of this polynomial approximation is bounded by 2**-58.45. In
+ * other words,
+ * 2 4 6 8 10 12 14
+ * R(z) ~ Lp1*s +Lp2*s +Lp3*s +Lp4*s +Lp5*s +Lp6*s +Lp7*s
+ * (the values of Lp1 to Lp7 are listed in the program)
+ * and
+ * | 2 14 | -58.45
+ * | Lp1*s +...+Lp7*s - R(z) | <= 2
+ * | |
+ * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2.
+ * In order to guarantee error in log below 1ulp, we compute log
+ * by
+ * log1p(f) = f - (hfsq - s*(hfsq+R)).
+ *
+ * 3. Finally, log1p(x) = k*ln2 + log1p(f).
+ * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo)))
+ * Here ln2 is split into two floating point number:
+ * ln2_hi + ln2_lo,
+ * where n*ln2_hi is always exact for |n| < 2000.
+ *
+ * Special cases:
+ * log1p(x) is NaN with signal if x < -1 (including -INF) ;
+ * log1p(+INF) is +INF; log1p(-1) is -INF with signal;
+ * log1p(NaN) is that NaN with no signal.
+ *
+ * Accuracy:
+ * according to an error analysis, the error is always less than
+ * 1 ulp (unit in the last place).
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ *
+ * Note: Assuming log() return accurate answer, the following
+ * algorithm can be used to compute log1p(x) to within a few ULP:
+ *
+ * u = 1+x;
+ * if(u==1.0) return x ; else
+ * return log(u)*(x/(u-1.0));
+ *
+ * See HP-15C Advanced Functions Handbook, p.193.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+ln2_hi = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */
+ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */
+two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */
+Lp[] = {0.0, 6.666666666666735130e-01, /* 3FE55555 55555593 */
+ 3.999999999940941908e-01, /* 3FD99999 9997FA04 */
+ 2.857142874366239149e-01, /* 3FD24924 94229359 */
+ 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */
+ 1.818357216161805012e-01, /* 3FC74664 96CB03DE */
+ 1.531383769920937332e-01, /* 3FC39A09 D078C69F */
+ 1.479819860511658591e-01}; /* 3FC2F112 DF3E5244 */
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ double __log1p(double x)
+#else
+ double __log1p(x)
+ double x;
+#endif
+{
+ double hfsq,f,c,s,z,R,u,z2,z4,z6,R1,R2,R3,R4;
+ int32_t k,hx,hu,ax;
+
+ GET_HIGH_WORD(hx,x);
+ ax = hx&0x7fffffff;
+
+ k = 1;
+ if (hx < 0x3FDA827A) { /* x < 0.41422 */
+ if(ax>=0x3ff00000) { /* x <= -1.0 */
+ if(x==-1.0) return -two54/(x-x);/* log1p(-1)=+inf */
+ else return (x-x)/(x-x); /* log1p(x<-1)=NaN */
+ }
+ if(ax<0x3e200000) { /* |x| < 2**-29 */
+ if(two54+x>zero /* raise inexact */
+ &&ax<0x3c900000) /* |x| < 2**-54 */
+ return x;
+ else
+ return x - x*x*0.5;
+ }
+ if(hx>0||hx<=((int32_t)0xbfd2bec3)) {
+ k=0;f=x;hu=1;} /* -0.2929<x<0.41422 */
+ }
+ if (hx >= 0x7ff00000) return x+x;
+ if(k!=0) {
+ if(hx<0x43400000) {
+ u = 1.0+x;
+ GET_HIGH_WORD(hu,u);
+ k = (hu>>20)-1023;
+ c = (k>0)? 1.0-(u-x):x-(u-1.0);/* correction term */
+ c /= u;
+ } else {
+ u = x;
+ GET_HIGH_WORD(hu,u);
+ k = (hu>>20)-1023;
+ c = 0;
+ }
+ hu &= 0x000fffff;
+ if(hu<0x6a09e) {
+ SET_HIGH_WORD(u,hu|0x3ff00000); /* normalize u */
+ } else {
+ k += 1;
+ SET_HIGH_WORD(u,hu|0x3fe00000); /* normalize u/2 */
+ hu = (0x00100000-hu)>>2;
+ }
+ f = u-1.0;
+ }
+ hfsq=0.5*f*f;
+ if(hu==0) { /* |f| < 2**-20 */
+ if(f==zero) {
+ if(k==0) return zero;
+ else {c += k*ln2_lo; return k*ln2_hi+c;}
+ }
+ R = hfsq*(1.0-0.66666666666666666*f);
+ if(k==0) return f-R; else
+ return k*ln2_hi-((R-(k*ln2_lo+c))-f);
+ }
+ s = f/(2.0+f);
+ z = s*s;
+#ifdef DO_NOT_USE_THIS
+ R = z*(Lp1+z*(Lp2+z*(Lp3+z*(Lp4+z*(Lp5+z*(Lp6+z*Lp7))))));
+#else
+ R1 = z*Lp[1]; z2=z*z;
+ R2 = Lp[2]+z*Lp[3]; z4=z2*z2;
+ R3 = Lp[4]+z*Lp[5]; z6=z4*z2;
+ R4 = Lp[6]+z*Lp[7];
+ R = R1 + z2*R2 + z4*R3 + z6*R4;
+#endif
+ if(k==0) return f-(hfsq-s*(hfsq+R)); else
+ return k*ln2_hi-((hfsq-(s*(hfsq+R)+(k*ln2_lo+c)))-f);
+}
+weak_alias (__log1p, log1p)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__log1p, __log1pl)
+weak_alias (__log1p, log1pl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_log2.c b/sysdeps/ieee754/dbl-64/s_log2.c
new file mode 100644
index 0000000..7379ce8
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_log2.c
@@ -0,0 +1,136 @@
+/* Adapted for log2 by Ulrich Drepper <drepper@cygnus.com>. */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __log2(x)
+ * Return the logarithm to base 2 of x
+ *
+ * Method :
+ * 1. Argument Reduction: find k and f such that
+ * x = 2^k * (1+f),
+ * where sqrt(2)/2 < 1+f < sqrt(2) .
+ *
+ * 2. Approximation of log(1+f).
+ * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s)
+ * = 2s + 2/3 s**3 + 2/5 s**5 + .....,
+ * = 2s + s*R
+ * We use a special Reme algorithm on [0,0.1716] to generate
+ * a polynomial of degree 14 to approximate R The maximum error
+ * of this polynomial approximation is bounded by 2**-58.45. In
+ * other words,
+ * 2 4 6 8 10 12 14
+ * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s
+ * (the values of Lg1 to Lg7 are listed in the program)
+ * and
+ * | 2 14 | -58.45
+ * | Lg1*s +...+Lg7*s - R(z) | <= 2
+ * | |
+ * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2.
+ * In order to guarantee error in log below 1ulp, we compute log
+ * by
+ * log(1+f) = f - s*(f - R) (if f is not too large)
+ * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy)
+ *
+ * 3. Finally, log(x) = k + log(1+f).
+ * = k+(f-(hfsq-(s*(hfsq+R))))
+ *
+ * Special cases:
+ * log2(x) is NaN with signal if x < 0 (including -INF) ;
+ * log2(+INF) is +INF; log(0) is -INF with signal;
+ * log2(NaN) is that NaN with no signal.
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+ln2 = 0.69314718055994530942,
+two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */
+Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */
+Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */
+Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */
+Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */
+Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */
+Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */
+Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */
+
+#ifdef __STDC__
+static const double zero = 0.0;
+#else
+static double zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ double __log2(double x)
+#else
+ double __log2(x)
+ double x;
+#endif
+{
+ double hfsq,f,s,z,R,w,t1,t2,dk;
+ int32_t k,hx,i,j;
+ u_int32_t lx;
+
+ EXTRACT_WORDS(hx,lx,x);
+
+ k=0;
+ if (hx < 0x00100000) { /* x < 2**-1022 */
+ if (((hx&0x7fffffff)|lx)==0)
+ return -two54/(x-x); /* log(+-0)=-inf */
+ if (hx<0) return (x-x)/(x-x); /* log(-#) = NaN */
+ k -= 54; x *= two54; /* subnormal number, scale up x */
+ GET_HIGH_WORD(hx,x);
+ }
+ if (hx >= 0x7ff00000) return x+x;
+ k += (hx>>20)-1023;
+ hx &= 0x000fffff;
+ i = (hx+0x95f64)&0x100000;
+ SET_HIGH_WORD(x,hx|(i^0x3ff00000)); /* normalize x or x/2 */
+ k += (i>>20);
+ dk = (double) k;
+ f = x-1.0;
+ if((0x000fffff&(2+hx))<3) { /* |f| < 2**-20 */
+ if(f==zero) return dk;
+ R = f*f*(0.5-0.33333333333333333*f);
+ return dk-(R-f)/ln2;
+ }
+ s = f/(2.0+f);
+ z = s*s;
+ i = hx-0x6147a;
+ w = z*z;
+ j = 0x6b851-hx;
+ t1= w*(Lg2+w*(Lg4+w*Lg6));
+ t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7)));
+ i |= j;
+ R = t2+t1;
+ if(i>0) {
+ hfsq=0.5*f*f;
+ return dk-((hfsq-(s*(hfsq+R)))-f)/ln2;
+ } else {
+ return dk-((s*(f-R))-f)/ln2;
+ }
+}
+
+weak_alias (__log2, log2)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__log2, __log2l)
+weak_alias (__log2, log2l)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_logb.c b/sysdeps/ieee754/dbl-64/s_logb.c
new file mode 100644
index 0000000..4668cf7
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_logb.c
@@ -0,0 +1,47 @@
+/* @(#)s_logb.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_logb.c,v 1.8 1995/05/10 20:47:50 jtc Exp $";
+#endif
+
+/*
+ * double logb(x)
+ * IEEE 754 logb. Included to pass IEEE test suite. Not recommend.
+ * Use ilogb instead.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __logb(double x)
+#else
+ double __logb(x)
+ double x;
+#endif
+{
+ int32_t lx,ix;
+ EXTRACT_WORDS(ix,lx,x);
+ ix &= 0x7fffffff; /* high |x| */
+ if((ix|lx)==0) return -1.0/fabs(x);
+ if(ix>=0x7ff00000) return x*x;
+ if((ix>>=20)==0) /* IEEE 754 logb */
+ return -1022.0;
+ else
+ return (double) (ix-1023);
+}
+weak_alias (__logb, logb)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__logb, __logbl)
+weak_alias (__logb, logbl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_lrint.c b/sysdeps/ieee754/dbl-64/s_lrint.c
new file mode 100644
index 0000000..8f0d717
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_lrint.c
@@ -0,0 +1,95 @@
+/* Round argument to nearest integral value according to current rounding
+ direction.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+static const double two52[2] =
+{
+ 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
+ -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */
+};
+
+
+long int
+__lrint (double x)
+{
+ int32_t j0;
+ u_int32_t i0,i1;
+ volatile double w;
+ double t;
+ long int result;
+ int sx;
+
+ EXTRACT_WORDS (i0, i1, x);
+ j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
+ sx = i0 >> 31;
+ i0 &= 0xfffff;
+ i0 |= 0x100000;
+
+ if (j0 < 20)
+ {
+ if (j0 < -1)
+ return 0;
+ else
+ {
+ w = two52[sx] + x;
+ t = w - two52[sx];
+ EXTRACT_WORDS (i0, i1, t);
+ j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
+ i0 &= 0xfffff;
+ i0 |= 0x100000;
+
+ result = i0 >> (20 - j0);
+ }
+ }
+ else if (j0 < (int32_t) (8 * sizeof (long int)) - 1)
+ {
+ if (j0 >= 52)
+ result = ((long int) i0 << (j0 - 20)) | (i1 << (j0 - 52));
+ else
+ {
+ w = two52[sx] + x;
+ t = w - two52[sx];
+ EXTRACT_WORDS (i0, i1, t);
+ j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
+ i0 &= 0xfffff;
+ i0 |= 0x100000;
+
+ result = ((long int) i0 << (j0 - 20)) | (i1 >> (52 - j0));
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long int) x;
+ }
+
+ return sx ? -result : result;
+}
+
+weak_alias (__lrint, lrint)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__lrint, __lrintl)
+weak_alias (__lrint, lrintl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_lround.c b/sysdeps/ieee754/dbl-64/s_lround.c
new file mode 100644
index 0000000..49be12f
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_lround.c
@@ -0,0 +1,78 @@
+/* Round double value to long int.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+long int
+__lround (double x)
+{
+ int32_t j0;
+ u_int32_t i1, i0;
+ long int result;
+ int sign;
+
+ EXTRACT_WORDS (i0, i1, x);
+ j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
+ sign = (i0 & 0x80000000) != 0 ? -1 : 1;
+ i0 &= 0xfffff;
+ i0 |= 0x100000;
+
+ if (j0 < 20)
+ {
+ if (j0 < 0)
+ return j0 < -1 ? 0 : sign;
+ else
+ {
+ i0 += 0x80000 >> j0;
+
+ result = i0 >> (20 - j0);
+ }
+ }
+ else if (j0 < (int32_t) (8 * sizeof (long int)) - 1)
+ {
+ if (j0 >= 52)
+ result = ((long int) i0 << (j0 - 20)) | (i1 << (j0 - 52));
+ else
+ {
+ u_int32_t j = i1 + (0x80000000 >> (j0 - 20));
+ if (j < i1)
+ ++i0;
+
+ result = ((long int) i0 << (j0 - 20)) | (j >> (52 - j0));
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long int) x;
+ }
+
+ return sign * result;
+}
+
+weak_alias (__lround, lround)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__lround, __lroundl)
+weak_alias (__lround, lroundl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_modf.c b/sysdeps/ieee754/dbl-64/s_modf.c
new file mode 100644
index 0000000..7851f675
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_modf.c
@@ -0,0 +1,85 @@
+/* @(#)s_modf.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_modf.c,v 1.8 1995/05/10 20:47:55 jtc Exp $";
+#endif
+
+/*
+ * modf(double x, double *iptr)
+ * return fraction part of x, and return x's integral part in *iptr.
+ * Method:
+ * Bit twiddling.
+ *
+ * Exception:
+ * No exception.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one = 1.0;
+#else
+static double one = 1.0;
+#endif
+
+#ifdef __STDC__
+ double __modf(double x, double *iptr)
+#else
+ double __modf(x, iptr)
+ double x,*iptr;
+#endif
+{
+ int32_t i0,i1,j0;
+ u_int32_t i;
+ EXTRACT_WORDS(i0,i1,x);
+ j0 = ((i0>>20)&0x7ff)-0x3ff; /* exponent of x */
+ if(j0<20) { /* integer part in high x */
+ if(j0<0) { /* |x|<1 */
+ INSERT_WORDS(*iptr,i0&0x80000000,0); /* *iptr = +-0 */
+ return x;
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) { /* x is integral */
+ *iptr = x;
+ INSERT_WORDS(x,i0&0x80000000,0); /* return +-0 */
+ return x;
+ } else {
+ INSERT_WORDS(*iptr,i0&(~i),0);
+ return x - *iptr;
+ }
+ }
+ } else if (j0>51) { /* no fraction part */
+ *iptr = x*one;
+ /* We must handle NaNs separately. */
+ if (j0 == 0x400 && ((i0 & 0xfffff) | i1))
+ return x*one;
+ INSERT_WORDS(x,i0&0x80000000,0); /* return +-0 */
+ return x;
+ } else { /* fraction part in low x */
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) { /* x is integral */
+ *iptr = x;
+ INSERT_WORDS(x,i0&0x80000000,0); /* return +-0 */
+ return x;
+ } else {
+ INSERT_WORDS(*iptr,i0,i1&(~i));
+ return x - *iptr;
+ }
+ }
+}
+weak_alias (__modf, modf)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__modf, __modfl)
+weak_alias (__modf, modfl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_nearbyint.c b/sysdeps/ieee754/dbl-64/s_nearbyint.c
new file mode 100644
index 0000000..32f5bf9
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_nearbyint.c
@@ -0,0 +1,98 @@
+/* Adapted for use as nearbyint by Ulrich Drepper <drepper@cygnus.com>. */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_rint.c,v 1.8 1995/05/10 20:48:04 jtc Exp $";
+#endif
+
+/*
+ * rint(x)
+ * Return x rounded to integral value according to the prevailing
+ * rounding mode.
+ * Method:
+ * Using floating addition.
+ * Exception:
+ * Inexact flag raised if x not equal to rint(x).
+ */
+
+#include <fenv.h>
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+TWO52[2]={
+ 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
+ -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */
+};
+
+#ifdef __STDC__
+ double __nearbyint(double x)
+#else
+ double __nearbyint(x)
+ double x;
+#endif
+{
+ fenv_t env;
+ int32_t i0,j0,sx;
+ u_int32_t i,i1;
+ double w,t;
+ EXTRACT_WORDS(i0,i1,x);
+ sx = (i0>>31)&1;
+ j0 = ((i0>>20)&0x7ff)-0x3ff;
+ if(j0<20) {
+ if(j0<0) {
+ if(((i0&0x7fffffff)|i1)==0) return x;
+ i1 |= (i0&0x0fffff);
+ i0 &= 0xfffe0000;
+ i0 |= ((i1|-i1)>>12)&0x80000;
+ SET_HIGH_WORD(x,i0);
+ feholdexcept (&env);
+ w = TWO52[sx]+x;
+ t = w-TWO52[sx];
+ fesetenv (&env);
+ GET_HIGH_WORD(i0,t);
+ SET_HIGH_WORD(t,(i0&0x7fffffff)|(sx<<31));
+ return t;
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ i>>=1;
+ if(((i0&i)|i1)!=0) {
+ if(j0==19) i1 = 0x40000000; else
+ i0 = (i0&(~i))|((0x20000)>>j0);
+ }
+ }
+ } else if (j0>51) {
+ if(j0==0x400) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) return x; /* x is integral */
+ i>>=1;
+ if((i1&i)!=0) i1 = (i1&(~i))|((0x40000000)>>(j0-20));
+ }
+ INSERT_WORDS(x,i0,i1);
+ feholdexcept (&env);
+ w = TWO52[sx]+x;
+ t = w-TWO52[sx];
+ fesetenv (&env);
+ return t;
+}
+weak_alias (__nearbyint, nearbyint)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__nearbyint, __nearbyintl)
+weak_alias (__nearbyint, nearbyintl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_nexttoward.c b/sysdeps/ieee754/dbl-64/s_nexttoward.c
new file mode 100644
index 0000000..c68ba98
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_nexttoward.c
@@ -0,0 +1 @@
+/* This function is the same as nextafter so we use an alias there. */
diff --git a/sysdeps/ieee754/dbl-64/s_remquo.c b/sysdeps/ieee754/dbl-64/s_remquo.c
new file mode 100644
index 0000000..6e32efb
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_remquo.c
@@ -0,0 +1,113 @@
+/* Compute remainder and a congruent to the quotient.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+static const double zero = 0.0;
+
+
+double
+__remquo (double x, double y, int *quo)
+{
+ int32_t hx,hy;
+ u_int32_t sx,lx,ly;
+ int cquo, qs;
+
+ EXTRACT_WORDS (hx, lx, x);
+ EXTRACT_WORDS (hy, ly, y);
+ sx = hx & 0x80000000;
+ qs = sx ^ (hy & 0x80000000);
+ hy &= 0x7fffffff;
+ hx &= 0x7fffffff;
+
+ /* Purge off exception values. */
+ if ((hy | ly) == 0)
+ return (x * y) / (x * y); /* y = 0 */
+ if ((hx >= 0x7ff00000) /* x not finite */
+ || ((hy >= 0x7ff00000) /* p is NaN */
+ && (((hy - 0x7ff00000) | ly) != 0)))
+ return (x * y) / (x * y);
+
+ if (hy <= 0x7fbfffff)
+ x = __ieee754_fmod (x, 8 * y); /* now x < 8y */
+
+ if (((hx - hy) | (lx - ly)) == 0)
+ {
+ *quo = qs ? -1 : 1;
+ return zero * x;
+ }
+
+ x = fabs (x);
+ y = fabs (y);
+ cquo = 0;
+
+ if (x >= 4 * y)
+ {
+ x -= 4 * y;
+ cquo += 4;
+ }
+ if (x >= 2 * y)
+ {
+ x -= 2 * y;
+ cquo += 2;
+ }
+
+ if (hy < 0x00200000)
+ {
+ if (x + x > y)
+ {
+ x -= y;
+ ++cquo;
+ if (x + x >= y)
+ {
+ x -= y;
+ ++cquo;
+ }
+ }
+ }
+ else
+ {
+ double y_half = 0.5 * y;
+ if (x > y_half)
+ {
+ x -= y;
+ ++cquo;
+ if (x >= y_half)
+ {
+ x -= y;
+ ++cquo;
+ }
+ }
+ }
+
+ *quo = qs ? -cquo : cquo;
+
+ if (sx)
+ x = -x;
+ return x;
+}
+weak_alias (__remquo, remquo)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__remquo, __remquol)
+weak_alias (__remquo, remquol)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_rint.c b/sysdeps/ieee754/dbl-64/s_rint.c
new file mode 100644
index 0000000..e5f2412
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_rint.c
@@ -0,0 +1,91 @@
+/* @(#)s_rint.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_rint.c,v 1.8 1995/05/10 20:48:04 jtc Exp $";
+#endif
+
+/*
+ * rint(x)
+ * Return x rounded to integral value according to the prevailing
+ * rounding mode.
+ * Method:
+ * Using floating addition.
+ * Exception:
+ * Inexact flag raised if x not equal to rint(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+TWO52[2]={
+ 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
+ -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */
+};
+
+#ifdef __STDC__
+ double __rint(double x)
+#else
+ double __rint(x)
+ double x;
+#endif
+{
+ int32_t i0,j0,sx;
+ u_int32_t i,i1;
+ double w,t;
+ EXTRACT_WORDS(i0,i1,x);
+ sx = (i0>>31)&1;
+ j0 = ((i0>>20)&0x7ff)-0x3ff;
+ if(j0<20) {
+ if(j0<0) {
+ if(((i0&0x7fffffff)|i1)==0) return x;
+ i1 |= (i0&0x0fffff);
+ i0 &= 0xfffe0000;
+ i0 |= ((i1|-i1)>>12)&0x80000;
+ SET_HIGH_WORD(x,i0);
+ w = TWO52[sx]+x;
+ t = w-TWO52[sx];
+ GET_HIGH_WORD(i0,t);
+ SET_HIGH_WORD(t,(i0&0x7fffffff)|(sx<<31));
+ return t;
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ i>>=1;
+ if(((i0&i)|i1)!=0) {
+ if(j0==19) i1 = 0x40000000; else
+ i0 = (i0&(~i))|((0x20000)>>j0);
+ }
+ }
+ } else if (j0>51) {
+ if(j0==0x400) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) return x; /* x is integral */
+ i>>=1;
+ if((i1&i)!=0) i1 = (i1&(~i))|((0x40000000)>>(j0-20));
+ }
+ INSERT_WORDS(x,i0,i1);
+ w = TWO52[sx]+x;
+ return w-TWO52[sx];
+}
+weak_alias (__rint, rint)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__rint, __rintl)
+weak_alias (__rint, rintl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_round.c b/sysdeps/ieee754/dbl-64/s_round.c
new file mode 100644
index 0000000..fdb17f8
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_round.c
@@ -0,0 +1,97 @@
+/* Round double to integer away from zero.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+static const double huge = 1.0e300;
+
+
+double
+__round (double x)
+{
+ int32_t i0, j0;
+ u_int32_t i1;
+
+ EXTRACT_WORDS (i0, i1, x);
+ j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
+ if (j0 < 20)
+ {
+ if (j0 < 0)
+ {
+ if (huge + x > 0.0)
+ {
+ i0 &= 0x80000000;
+ if (j0 == -1)
+ i0 |= 0x3ff00000;
+ i1 = 0;
+ }
+ }
+ else
+ {
+ u_int32_t i = 0x000fffff >> j0;
+ if (((i0 & i) | i1) == 0)
+ /* X is integral. */
+ return x;
+ if (huge + x > 0.0)
+ {
+ /* Raise inexact if x != 0. */
+ i0 += 0x00080000 >> j0;
+ i0 &= ~i;
+ i1 = 0;
+ }
+ }
+ }
+ else if (j0 > 51)
+ {
+ if (j0 == 0x400)
+ /* Inf or NaN. */
+ return x + x;
+ else
+ return x;
+ }
+ else
+ {
+ u_int32_t i = 0xffffffff >> (j0 - 20);
+ if ((i1 & i) == 0)
+ /* X is integral. */
+ return x;
+
+ if (huge + x > 0.0)
+ {
+ /* Raise inexact if x != 0. */
+ u_int32_t j = i1 + (1 << (51 - j0));
+ if (j < i1)
+ i0 += 1;
+ i1 = j;
+ }
+ i1 &= ~i;
+ }
+
+ INSERT_WORDS (x, i0, i1);
+ return x;
+}
+weak_alias (__round, round)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__round, __roundl)
+weak_alias (__round, roundl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_scalbln.c b/sysdeps/ieee754/dbl-64/s_scalbln.c
new file mode 100644
index 0000000..aa6134f
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_scalbln.c
@@ -0,0 +1,70 @@
+/* @(#)s_scalbn.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_scalbn.c,v 1.8 1995/05/10 20:48:08 jtc Exp $";
+#endif
+
+/*
+ * scalbn (double x, int n)
+ * scalbn(x,n) returns x* 2**n computed by exponent
+ * manipulation rather than by actually performing an
+ * exponentiation or a multiplication.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
+twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
+huge = 1.0e+300,
+tiny = 1.0e-300;
+
+#ifdef __STDC__
+ double __scalbln (double x, long int n)
+#else
+ double __scalbln (x,n)
+ double x; long int n;
+#endif
+{
+ int32_t k,hx,lx;
+ EXTRACT_WORDS(hx,lx,x);
+ k = (hx&0x7ff00000)>>20; /* extract exponent */
+ if (k==0) { /* 0 or subnormal x */
+ if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
+ x *= two54;
+ GET_HIGH_WORD(hx,x);
+ k = ((hx&0x7ff00000)>>20) - 54;
+ }
+ if (k==0x7ff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (n> 50000 || k > 0x7fe)
+ return huge*__copysign(huge,x); /* overflow */
+ if (n< -50000) return tiny*__copysign(tiny,x); /*underflow*/
+ if (k > 0) /* normal result */
+ {SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;}
+ if (k <= -54)
+ return tiny*__copysign(tiny,x); /*underflow*/
+ k += 54; /* subnormal result */
+ SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20));
+ return x*twom54;
+}
+weak_alias (__scalbln, scalbln)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__scalbln, __scalblnl)
+weak_alias (__scalbln, scalblnl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_scalbn.c b/sysdeps/ieee754/dbl-64/s_scalbn.c
new file mode 100644
index 0000000..3dbfe8f
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_scalbn.c
@@ -0,0 +1,70 @@
+/* @(#)s_scalbn.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_scalbn.c,v 1.8 1995/05/10 20:48:08 jtc Exp $";
+#endif
+
+/*
+ * scalbn (double x, int n)
+ * scalbn(x,n) returns x* 2**n computed by exponent
+ * manipulation rather than by actually performing an
+ * exponentiation or a multiplication.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
+twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
+huge = 1.0e+300,
+tiny = 1.0e-300;
+
+#ifdef __STDC__
+ double __scalbn (double x, int n)
+#else
+ double __scalbn (x,n)
+ double x; int n;
+#endif
+{
+ int32_t k,hx,lx;
+ EXTRACT_WORDS(hx,lx,x);
+ k = (hx&0x7ff00000)>>20; /* extract exponent */
+ if (k==0) { /* 0 or subnormal x */
+ if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
+ x *= two54;
+ GET_HIGH_WORD(hx,x);
+ k = ((hx&0x7ff00000)>>20) - 54;
+ }
+ if (k==0x7ff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (n> 50000 || k > 0x7fe)
+ return huge*__copysign(huge,x); /* overflow */
+ if (n< -50000) return tiny*__copysign(tiny,x); /*underflow*/
+ if (k > 0) /* normal result */
+ {SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;}
+ if (k <= -54)
+ return tiny*__copysign(tiny,x); /*underflow*/
+ k += 54; /* subnormal result */
+ SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20));
+ return x*twom54;
+}
+weak_alias (__scalbn, scalbn)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__scalbn, __scalbnl)
+weak_alias (__scalbn, scalbnl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_signbit.c b/sysdeps/ieee754/dbl-64/s_signbit.c
new file mode 100644
index 0000000..ee34003
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_signbit.c
@@ -0,0 +1,32 @@
+/* Return nonzero value if number is negative.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+int
+__signbit (double x)
+{
+ int32_t hx;
+
+ GET_HIGH_WORD (hx, x);
+ return hx & 0x80000000;
+}
diff --git a/sysdeps/ieee754/dbl-64/s_sin.c b/sysdeps/ieee754/dbl-64/s_sin.c
new file mode 100644
index 0000000..376c69e
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_sin.c
@@ -0,0 +1,87 @@
+/* @(#)s_sin.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_sin.c,v 1.7 1995/05/10 20:48:15 jtc Exp $";
+#endif
+
+/* sin(x)
+ * Return sine function of x.
+ *
+ * kernel function:
+ * __kernel_sin ... sine function on [-pi/4,pi/4]
+ * __kernel_cos ... cose function on [-pi/4,pi/4]
+ * __ieee754_rem_pio2 ... 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
+ *
+ * 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
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __sin(double x)
+#else
+ double __sin(x)
+ double x;
+#endif
+{
+ double y[2],z=0.0;
+ int32_t n, ix;
+
+ /* High word of x. */
+ GET_HIGH_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) return __kernel_sin(x,z,0);
+
+ /* sin(Inf or NaN) is NaN */
+ else if (ix>=0x7ff00000) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2(x,y);
+ switch(n&3) {
+ case 0: return __kernel_sin(y[0],y[1],1);
+ case 1: return __kernel_cos(y[0],y[1]);
+ case 2: return -__kernel_sin(y[0],y[1],1);
+ default:
+ return -__kernel_cos(y[0],y[1]);
+ }
+ }
+}
+weak_alias (__sin, sin)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__sin, __sinl)
+weak_alias (__sin, sinl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_sincos.c b/sysdeps/ieee754/dbl-64/s_sincos.c
new file mode 100644
index 0000000..5bc564b
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_sincos.c
@@ -0,0 +1,78 @@
+/* Compute sine and cosine of argument.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+void
+__sincos (double x, double *sinx, double *cosx)
+{
+ int32_t ix;
+
+ /* High word of x. */
+ GET_HIGH_WORD (ix, x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if (ix <= 0x3fe921fb)
+ {
+ *sinx = __kernel_sin (x, 0.0, 0);
+ *cosx = __kernel_cos (x, 0.0);
+ }
+ else if (ix>=0x7ff00000)
+ {
+ /* sin(Inf or NaN) is NaN */
+ *sinx = *cosx = x - x;
+ }
+ else
+ {
+ /* Argument reduction needed. */
+ double y[2];
+ int n;
+
+ n = __ieee754_rem_pio2 (x, y);
+ switch (n & 3)
+ {
+ case 0:
+ *sinx = __kernel_sin (y[0], y[1], 1);
+ *cosx = __kernel_cos (y[0], y[1]);
+ break;
+ case 1:
+ *sinx = __kernel_cos (y[0], y[1]);
+ *cosx = -__kernel_sin (y[0], y[1], 1);
+ break;
+ case 2:
+ *sinx = -__kernel_sin (y[0], y[1], 1);
+ *cosx = -__kernel_cos (y[0], y[1]);
+ break;
+ default:
+ *sinx = -__kernel_cos (y[0], y[1]);
+ *cosx = __kernel_sin (y[0], y[1], 1);
+ break;
+ }
+ }
+}
+weak_alias (__sincos, sincos)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__sincos, __sincosl)
+weak_alias (__sincos, sincosl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_tan.c b/sysdeps/ieee754/dbl-64/s_tan.c
new file mode 100644
index 0000000..714cf27
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_tan.c
@@ -0,0 +1,81 @@
+/* @(#)s_tan.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_tan.c,v 1.7 1995/05/10 20:48:18 jtc Exp $";
+#endif
+
+/* tan(x)
+ * Return tangent function of x.
+ *
+ * kernel function:
+ * __kernel_tan ... tangent function on [-pi/4,pi/4]
+ * __ieee754_rem_pio2 ... 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
+ *
+ * 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
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __tan(double x)
+#else
+ double __tan(x)
+ double x;
+#endif
+{
+ double y[2],z=0.0;
+ int32_t n, ix;
+
+ /* High word of x. */
+ GET_HIGH_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) return __kernel_tan(x,z,1);
+
+ /* tan(Inf or NaN) is NaN */
+ else if (ix>=0x7ff00000) return x-x; /* NaN */
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2(x,y);
+ return __kernel_tan(y[0],y[1],1-((n&1)<<1)); /* 1 -- n even
+ -1 -- n odd */
+ }
+}
+weak_alias (__tan, tan)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__tan, __tanl)
+weak_alias (__tan, tanl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_tanh.c b/sysdeps/ieee754/dbl-64/s_tanh.c
new file mode 100644
index 0000000..944f963
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_tanh.c
@@ -0,0 +1,93 @@
+/* @(#)s_tanh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_tanh.c,v 1.7 1995/05/10 20:48:22 jtc Exp $";
+#endif
+
+/* Tanh(x)
+ * Return the Hyperbolic Tangent of x
+ *
+ * Method :
+ * x -x
+ * e - e
+ * 0. tanh(x) is defined to be -----------
+ * x -x
+ * e + e
+ * 1. reduce x to non-negative by tanh(-x) = -tanh(x).
+ * 2. 0 <= x <= 2**-55 : tanh(x) := x*(one+x)
+ * -t
+ * 2**-55 < x <= 1 : tanh(x) := -----; t = expm1(-2x)
+ * t + 2
+ * 2
+ * 1 <= x <= 22.0 : tanh(x) := 1- ----- ; t=expm1(2x)
+ * t + 2
+ * 22.0 < x <= INF : tanh(x) := 1.
+ *
+ * Special cases:
+ * tanh(NaN) is NaN;
+ * only tanh(0)=0 is exact for finite argument.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double one=1.0, two=2.0, tiny = 1.0e-300;
+#else
+static double one=1.0, two=2.0, tiny = 1.0e-300;
+#endif
+
+#ifdef __STDC__
+ double __tanh(double x)
+#else
+ double __tanh(x)
+ double x;
+#endif
+{
+ double t,z;
+ int32_t jx,ix,lx;
+
+ /* High word of |x|. */
+ EXTRACT_WORDS(jx,lx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7ff00000) {
+ if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */
+ else return one/x-one; /* tanh(NaN) = NaN */
+ }
+
+ /* |x| < 22 */
+ if (ix < 0x40360000) { /* |x|<22 */
+ if ((ix | lx) == 0)
+ return x; /* x == +-0 */
+ if (ix<0x3c800000) /* |x|<2**-55 */
+ return x*(one+x); /* tanh(small) = small */
+ if (ix>=0x3ff00000) { /* |x|>=1 */
+ t = __expm1(two*fabs(x));
+ z = one - two/(t+two);
+ } else {
+ t = __expm1(-two*fabs(x));
+ z= -t/(t+two);
+ }
+ /* |x| > 22, return +-1 */
+ } else {
+ z = one - tiny; /* raised inexact flag */
+ }
+ return (jx>=0)? z: -z;
+}
+weak_alias (__tanh, tanh)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__tanh, __tanhl)
+weak_alias (__tanh, tanhl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/s_trunc.c b/sysdeps/ieee754/dbl-64/s_trunc.c
new file mode 100644
index 0000000..07b4951
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_trunc.c
@@ -0,0 +1,61 @@
+/* Truncate argument to nearest integral value not larger than the argument.
+ Copyright (C) 1997, 1998 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+double
+__trunc (double x)
+{
+ int32_t i0, j0;
+ u_int32_t i1;
+ int sx;
+
+ EXTRACT_WORDS (i0, i1, x);
+ sx = i0 & 0x80000000;
+ j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
+ if (j0 < 20)
+ {
+ if (j0 < 0)
+ /* The magnitude of the number is < 1 so the result is +-0. */
+ INSERT_WORDS (x, sx, 0);
+ else
+ INSERT_WORDS (x, sx | (i0 & ~(0x000fffff >> j0)), 0);
+ }
+ else if (j0 > 51)
+ {
+ if (j0 == 0x400)
+ /* x is inf or NaN. */
+ return x + x;
+ }
+ else
+ {
+ INSERT_WORDS (x, i0, i1 & ~(0xffffffffu >> (j0 - 20)));
+ }
+
+ return x;
+}
+weak_alias (__trunc, trunc)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__trunc, __truncl)
+weak_alias (__trunc, truncl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/t_exp.c b/sysdeps/ieee754/dbl-64/t_exp.c
new file mode 100644
index 0000000..b02b4f5
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/t_exp.c
@@ -0,0 +1,436 @@
+/* Accurate tables for exp().
+ Copyright (C) 1998 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Geoffrey Keating <geoffk@ozemail.com.au>
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+/* This table has the property that, for all integers -177 <= i <= 177,
+ exp(i/512.0 + __exp_deltatable[abs(i)]) == __exp_atable[i+177] + r
+ for some -2^-64 < r < 2^-64 (abs(r) < 2^-65 if i <= 0); and that
+ __exp_deltatable[abs(i)] == t * 2^-60
+ for integer t so that abs(t) <= 8847927 * 2^8. */
+
+#define W52 (2.22044605e-16)
+#define W55 (2.77555756e-17)
+#define W58 (3.46944695e-18)
+#define W59 (1.73472348e-18)
+#define W60 (8.67361738e-19)
+const float __exp_deltatable[178] = {
+ 0*W60, 16558714*W60, -10672149*W59, 1441652*W60,
+ -15787963*W55, 462888*W60, 7291806*W60, 1698880*W60,
+ -14375103*W58, -2021016*W60, 728829*W60, -3759654*W60,
+ 3202123*W60, -10916019*W58, -251570*W60, -1043086*W60,
+ 8207536*W60, -409964*W60, -5993931*W60, -475500*W60,
+ 2237522*W60, 324170*W60, -244117*W60, 32077*W60,
+ 123907*W60, -1019734*W60, -143*W60, 813077*W60,
+ 743345*W60, 462461*W60, 629794*W60, 2125066*W60,
+ -2339121*W60, -337951*W60, 9922067*W60, -648704*W60,
+ 149407*W60, -2687209*W60, -631608*W60, 2128280*W60,
+ -4882082*W60, 2001360*W60, 175074*W60, 2923216*W60,
+ -538947*W60, -1212193*W60, -1920926*W60, -1080577*W60,
+ 3690196*W60, 2643367*W60, 2911937*W60, 671455*W60,
+ -1128674*W60, 593282*W60, -5219347*W60, -1941490*W60,
+ 11007953*W60, 239609*W60, -2969658*W60, -1183650*W60,
+ 942998*W60, 699063*W60, 450569*W60, -329250*W60,
+ -7257875*W60, -312436*W60, 51626*W60, 555877*W60,
+ -641761*W60, 1565666*W60, 884327*W60, -10960035*W60,
+ -2004679*W60, -995793*W60, -2229051*W60, -146179*W60,
+ -510327*W60, 1453482*W60, -3778852*W60, -2238056*W60,
+ -4895983*W60, 3398883*W60, -252738*W60, 1230155*W60,
+ 346918*W60, 1109352*W60, 268941*W60, -2930483*W60,
+ -1036263*W60, -1159280*W60, 1328176*W60, 2937642*W60,
+ -9371420*W60, -6902650*W60, -1419134*W60, 1442904*W60,
+ -1319056*W60, -16369*W60, 696555*W60, -279987*W60,
+ -7919763*W60, 252741*W60, 459711*W60, -1709645*W60,
+ 354913*W60, 6025867*W60, -421460*W60, -853103*W60,
+ -338649*W60, 962151*W60, 955965*W60, 784419*W60,
+ -3633653*W60, 2277133*W60, -8847927*W52, 1223028*W60,
+ 5907079*W60, 623167*W60, 5142888*W60, 2599099*W60,
+ 1214280*W60, 4870359*W60, 593349*W60, -57705*W60,
+ 7761209*W60, -5564097*W60, 2051261*W60, 6216869*W60,
+ 4692163*W60, 601691*W60, -5264906*W60, 1077872*W60,
+ -3205949*W60, 1833082*W60, 2081746*W60, -987363*W60,
+ -1049535*W60, 2015244*W60, 874230*W60, 2168259*W60,
+ -1740124*W60, -10068269*W60, -18242*W60, -3013583*W60,
+ 580601*W60, -2547161*W60, -535689*W60, 2220815*W60,
+ 1285067*W60, 2806933*W60, -983086*W60, -1729097*W60,
+ -1162985*W60, -2561904*W60, 801988*W60, 244351*W60,
+ 1441893*W60, -7517981*W60, 271781*W60, -15021588*W60,
+ -2341588*W60, -919198*W60, 1642232*W60, 4771771*W60,
+ -1220099*W60, -3062372*W60, 628624*W60, 1278114*W60,
+ 13083513*W60, -10521925*W60, 3180310*W60, -1659307*W60,
+ 3543773*W60, 2501203*W60, 4151*W60, -340748*W60,
+ -2285625*W60, 2495202*W60
+};
+
+const double __exp_atable[355] /* __attribute__((mode(DF))) */ = {
+ 0.707722561055888932371, /* 0x0.b52d4e46605c27ffd */
+ 0.709106182438804188967, /* 0x0.b587fb96f75097ffb */
+ 0.710492508843861281234, /* 0x0.b5e2d649899167ffd */
+ 0.711881545564593931623, /* 0x0.b63dde74d36bdfffe */
+ 0.713273297897442870573, /* 0x0.b699142f945f87ffc */
+ 0.714667771153751463236, /* 0x0.b6f477909c4ea0001 */
+ 0.716064970655995725059, /* 0x0.b75008aec758f8004 */
+ 0.717464901723956938193, /* 0x0.b7abc7a0eea7e0002 */
+ 0.718867569715736398602, /* 0x0.b807b47e1586c7ff8 */
+ 0.720272979947266023271, /* 0x0.b863cf5d10e380003 */
+ 0.721681137825144314297, /* 0x0.b8c01855195c37ffb */
+ 0.723092048691992950199, /* 0x0.b91c8f7d213740004 */
+ 0.724505717938892290800, /* 0x0.b97934ec5002d0007 */
+ 0.725922150953176470431, /* 0x0.b9d608b9c92ea7ffc */
+ 0.727341353138962865022, /* 0x0.ba330afcc29e98003 */
+ 0.728763329918453162104, /* 0x0.ba903bcc8618b7ffc */
+ 0.730188086709957051568, /* 0x0.baed9b40591ba0000 */
+ 0.731615628948127705309, /* 0x0.bb4b296f931e30002 */
+ 0.733045962086486091436, /* 0x0.bba8e671a05617ff9 */
+ 0.734479091556371366251, /* 0x0.bc06d25dd49568001 */
+ 0.735915022857225542529, /* 0x0.bc64ed4bce8f6fff9 */
+ 0.737353761441304711410, /* 0x0.bcc33752f915d7ff9 */
+ 0.738795312814142124419, /* 0x0.bd21b08af98e78005 */
+ 0.740239682467211168593, /* 0x0.bd80590b65e9a8000 */
+ 0.741686875913991849885, /* 0x0.bddf30ebec4a10000 */
+ 0.743136898669507939299, /* 0x0.be3e38443c84e0007 */
+ 0.744589756269486091620, /* 0x0.be9d6f2c1d32a0002 */
+ 0.746045454254026796384, /* 0x0.befcd5bb59baf8004 */
+ 0.747503998175051087583, /* 0x0.bf5c6c09ca84c0003 */
+ 0.748965393601880857739, /* 0x0.bfbc322f5b18b7ff8 */
+ 0.750429646104262104698, /* 0x0.c01c2843f776fffff */
+ 0.751896761271877989160, /* 0x0.c07c4e5fa18b88002 */
+ 0.753366744698445112140, /* 0x0.c0dca49a5fb18fffd */
+ 0.754839601988627206827, /* 0x0.c13d2b0c444db0005 */
+ 0.756315338768691947122, /* 0x0.c19de1cd798578006 */
+ 0.757793960659406629066, /* 0x0.c1fec8f623723fffd */
+ 0.759275473314173443536, /* 0x0.c25fe09e8a0f47ff8 */
+ 0.760759882363831851927, /* 0x0.c2c128dedc88f8000 */
+ 0.762247193485956486805, /* 0x0.c322a1cf7d6e7fffa */
+ 0.763737412354726363781, /* 0x0.c3844b88cb9347ffc */
+ 0.765230544649828092739, /* 0x0.c3e626232bd8f7ffc */
+ 0.766726596071518051729, /* 0x0.c44831b719bf18002 */
+ 0.768225572321911687194, /* 0x0.c4aa6e5d12d078001 */
+ 0.769727479119219348810, /* 0x0.c50cdc2da64a37ffb */
+ 0.771232322196981678892, /* 0x0.c56f7b41744490001 */
+ 0.772740107296721268087, /* 0x0.c5d24bb1259e70004 */
+ 0.774250840160724651565, /* 0x0.c6354d95640dd0007 */
+ 0.775764526565368872643, /* 0x0.c6988106fec447fff */
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+ 0.778800783068235302750, /* 0x0.c75f7cf560942fffc */
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+ 0.781848923151573727006, /* 0x0.c8274043594cb0002 */
+ 0.783377464064598849602, /* 0x0.c88b6cec94b3b7ff9 */
+ 0.784908993312207869935, /* 0x0.c8efcbb89cba27ffe */
+ 0.786443516765346961618, /* 0x0.c9545cc0a88c70003 */
+ 0.787981040257604625744, /* 0x0.c9b9201dc643bfffa */
+ 0.789521569657452682047, /* 0x0.ca1e15e92a5410007 */
+ 0.791065110849462849192, /* 0x0.ca833e3c1ae510005 */
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+ 0.794161252150049179450, /* 0x0.cb4e26ddbc207fff8 */
+ 0.795713864077794763584, /* 0x0.cbb3e75f301b60003 */
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+ 0.800389937624300440456, /* 0x0.cce65ade24d360006 */
+ 0.801954725261124767840, /* 0x0.cd4ce7a5de839fffb */
+ 0.803522573691593189330, /* 0x0.cdb3a7c79a678fffd */
+ 0.805093487311204114563, /* 0x0.ce1a9b563965ffffc */
+ 0.806667472122675088819, /* 0x0.ce81c26b838db8000 */
+ 0.808244534127439906441, /* 0x0.cee91d213f8428002 */
+ 0.809824679342317166307, /* 0x0.cf50ab9144d92fff9 */
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+ 0.855345327311054837175, /* 0x0.daf7e94f965f98004 */
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+ 1.000000000000000000000, /* 0x1.00000000000000000 */
+ 1.001955033605393285965, /* 0x1.0080200565d29ffff */
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+ 1.299161101984141142272, /* 0x1.4c95d26d41d84fff8 */
+ 1.301701005575179204100, /* 0x1.4d3c46f01d9f0fff3 */
+ 1.304245874766450485904, /* 0x1.4de30ec21097d0003 */
+ 1.306795719266019562007, /* 0x1.4e8a2a0ccce3d0002 */
+ 1.309350548792467483458, /* 0x1.4f3198fa10346fff5 */
+ 1.311910373099227200545, /* 0x1.4fd95bb3be8cffffd */
+ 1.314475201942565174546, /* 0x1.50817263bf0e5fffb */
+ 1.317045045107389400535, /* 0x1.5129dd3418575000e */
+ 1.319619912422941299109, /* 0x1.51d29c4f01c54ffff */
+ 1.322199813675649204855, /* 0x1.527bafde83a310009 */
+ 1.324784758729532718739, /* 0x1.5325180cfb8b3fffd */
+ 1.327374757430096474625, /* 0x1.53ced504b2bd0fff4 */
+ 1.329969819671041886272, /* 0x1.5478e6f02775e0001 */
+ 1.332569955346704748651, /* 0x1.55234df9d8a59fff8 */
+ 1.335175174370685002822, /* 0x1.55ce0a4c5a6a9fff6 */
+ 1.337785486688218616860, /* 0x1.56791c1263abefff7 */
+ 1.340400902247843806217, /* 0x1.57248376aef21fffa */
+ 1.343021431036279800211, /* 0x1.57d040a420c0bfff3 */
+ 1.345647083048053138662, /* 0x1.587c53c5a630f0002 */
+ 1.348277868295411074918, /* 0x1.5928bd063fd7bfff9 */
+ 1.350913796821875845231, /* 0x1.59d57c9110ad60006 */
+ 1.353554878672557082439, /* 0x1.5a8292913d68cfffc */
+ 1.356201123929036356254, /* 0x1.5b2fff3212db00007 */
+ 1.358852542671913132777, /* 0x1.5bddc29edcc06fff3 */
+ 1.361509145047255398051, /* 0x1.5c8bdd032ed16000f */
+ 1.364170941142184734180, /* 0x1.5d3a4e8a5bf61fff4 */
+ 1.366837941171020309735, /* 0x1.5de9176042f1effff */
+ 1.369510155261156381121, /* 0x1.5e9837b062f4e0005 */
+ 1.372187593620959988833, /* 0x1.5f47afa69436cfff1 */
+ 1.374870266463378287715, /* 0x1.5ff77f6eb3f8cfffd */
+ 1.377558184010425845733, /* 0x1.60a7a734a9742fff9 */
+ 1.380251356531521533853, /* 0x1.6158272490016000c */
+ 1.382949794301995272203, /* 0x1.6208ff6a8978a000f */
+ 1.385653507605306700170, /* 0x1.62ba3032c0a280004 */
+ 1.388362506772382154503, /* 0x1.636bb9a994784000f */
+ 1.391076802081129493127, /* 0x1.641d9bfb29a7bfff6 */
+ 1.393796403973427855412, /* 0x1.64cfd7545928b0002 */
+ 1.396521322756352656542, /* 0x1.65826be167badfff8 */
+ 1.399251568859207761660, /* 0x1.663559cf20826000c */
+ 1.401987152677323100733, /* 0x1.66e8a14a29486fffc */
+ 1.404728084651919228815, /* 0x1.679c427f5a4b6000b */
+ 1.407474375243217723560, /* 0x1.68503d9ba0add000f */
+ 1.410226034922914983815, /* 0x1.690492cbf6303fff9 */
+ 1.412983074197955213304, /* 0x1.69b9423d7b548fff6 */
+};
diff --git a/sysdeps/ieee754/dbl-64/t_exp2.h b/sysdeps/ieee754/dbl-64/t_exp2.h
new file mode 100644
index 0000000..1fd7333
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/t_exp2.h
@@ -0,0 +1,585 @@
+/* These values are accurate to 52+12 bits when represented as
+ a double. */
+static const double exp2_accuratetable[512] = {
+0.707106781187802013759 /* 0x0.b504f333fb3f80007 */,
+0.708064712808760599040 /* 0x0.b543baa0f71b38000 */,
+0.709023942160304065938 /* 0x0.b58297d3a8d518002 */,
+0.709984470998547667624 /* 0x0.b5c18ad39b4ba0001 */,
+0.710946301084324217006 /* 0x0.b60093a85e8d30001 */,
+0.711909434180505784637 /* 0x0.b63fb25984e628005 */,
+0.712873872052760648733 /* 0x0.b67ee6eea3b5f8003 */,
+0.713839616467838999908 /* 0x0.b6be316f518c98001 */,
+0.714806669195984345523 /* 0x0.b6fd91e328d148007 */,
+0.715775032009894562898 /* 0x0.b73d0851c69e20002 */,
+0.716744706683768884058 /* 0x0.b77c94c2c9b3d0003 */,
+0.717715694995770148178 /* 0x0.b7bc373dd52eb0003 */,
+0.718687998724665488852 /* 0x0.b7fbefca8cd530004 */,
+0.719661619652575468291 /* 0x0.b83bbe70981da8001 */,
+0.720636559564428180758 /* 0x0.b87ba337a194b0006 */,
+0.721612820246623098989 /* 0x0.b8bb9e27556508004 */,
+0.722590403488338473025 /* 0x0.b8fbaf4762c798006 */,
+0.723569311081411870036 /* 0x0.b93bd69f7be1d0000 */,
+0.724549544820974333906 /* 0x0.b97c1437567828007 */,
+0.725531106502312561633 /* 0x0.b9bc6816a87ae8002 */,
+0.726513997924421062181 /* 0x0.b9fcd2452bee00000 */,
+0.727498220889519875430 /* 0x0.ba3d52ca9e6148002 */,
+0.728483777200401694265 /* 0x0.ba7de9aebe05c8003 */,
+0.729470668664712662563 /* 0x0.babe96f94e62a8002 */,
+0.730458897090379144517 /* 0x0.baff5ab2134df0004 */,
+0.731448464287988597833 /* 0x0.bb4034e0d38ab0000 */,
+0.732439372072965166897 /* 0x0.bb81258d5b2d60001 */,
+0.733431622260458326859 /* 0x0.bbc22cbf75fd28001 */,
+0.734425216668725511232 /* 0x0.bc034a7ef32c00001 */,
+0.735420157118880535324 /* 0x0.bc447ed3a50fe0005 */,
+0.736416445434497690674 /* 0x0.bc85c9c560b350001 */,
+0.737414083433310718618 /* 0x0.bcc72b5bf4b4e0000 */,
+0.738413072966152328496 /* 0x0.bd08a39f5417a8007 */,
+0.739413415848264365956 /* 0x0.bd4a32974abcd0002 */,
+0.740415113911250699637 /* 0x0.bd8bd84bb68300002 */,
+0.741418168994518067562 /* 0x0.bdcd94c47ddd30003 */,
+0.742422582936659858376 /* 0x0.be0f6809865968006 */,
+0.743428357577745613238 /* 0x0.be515222b72530003 */,
+0.744435494762383687126 /* 0x0.be935317fc6ba0002 */,
+0.745443996335090397492 /* 0x0.bed56af1423de8001 */,
+0.746453864145572798553 /* 0x0.bf1799b67a6248007 */,
+0.747465100043933849969 /* 0x0.bf59df6f970e70002 */,
+0.748477705883256683178 /* 0x0.bf9c3c248dbee8001 */,
+0.749491683518965001732 /* 0x0.bfdeafdd568308000 */,
+0.750507034813367890373 /* 0x0.c0213aa1f0fc38004 */,
+0.751523761622240105153 /* 0x0.c063dc7a559ca0003 */,
+0.752541865811731880422 /* 0x0.c0a6956e883ed8000 */,
+0.753561349247157341600 /* 0x0.c0e965868bd220006 */,
+0.754582213796583967110 /* 0x0.c12c4cca664cb8002 */,
+0.755604461332336940791 /* 0x0.c16f4b42225350006 */,
+0.756628093726406381068 /* 0x0.c1b260f5ca2c48002 */,
+0.757653112855631305506 /* 0x0.c1f58ded6d72d8001 */,
+0.758679520599333412360 /* 0x0.c238d2311e7d08001 */,
+0.759707318837184453227 /* 0x0.c27c2dc8f00368005 */,
+0.760736509456435783249 /* 0x0.c2bfa0bcfd1400000 */,
+0.761767094336480043995 /* 0x0.c3032b155818d0000 */,
+0.762799075372231349951 /* 0x0.c346ccda248cc0001 */,
+0.763832454453522768941 /* 0x0.c38a8613805488005 */,
+0.764867233473625618441 /* 0x0.c3ce56c98d1ca8005 */,
+0.765903414329434539816 /* 0x0.c4123f04708d80002 */,
+0.766940998920452976510 /* 0x0.c4563ecc532dc0001 */,
+0.767979989148100838946 /* 0x0.c49a56295f9f88006 */,
+0.769020386915772125040 /* 0x0.c4de8523c2b0a0001 */,
+0.770062194131770905170 /* 0x0.c522cbc3ae94e0003 */,
+0.771105412703856241146 /* 0x0.c5672a1154e6b8004 */,
+0.772150044545352520777 /* 0x0.c5aba014ed5f18003 */,
+0.773196091570364285606 /* 0x0.c5f02dd6b09288003 */,
+0.774243555696622731700 /* 0x0.c634d35edb1260003 */,
+0.775292438842697939641 /* 0x0.c67990b5aa5c18004 */,
+0.776342742931542928455 /* 0x0.c6be65e360bed8000 */,
+0.777394469888802008854 /* 0x0.c70352f0437f50004 */,
+0.778447621641124243320 /* 0x0.c74857e498fd00006 */,
+0.779502200118583399303 /* 0x0.c78d74c8ab5b60000 */,
+0.780558207255445668515 /* 0x0.c7d2a9a4c959f8000 */,
+0.781615644985491186966 /* 0x0.c817f681412f80002 */,
+0.782674515247667956808 /* 0x0.c85d5b6666c150006 */,
+0.783734819983036512536 /* 0x0.c8a2d85c904760003 */,
+0.784796561133562109454 /* 0x0.c8e86d6c14f850002 */,
+0.785859740645942328471 /* 0x0.c92e1a9d513ec8002 */,
+0.786924360469767103536 /* 0x0.c973dff8a4b390007 */,
+0.787990422552312885808 /* 0x0.c9b9bd866c6440007 */,
+0.789057928854407064640 /* 0x0.c9ffb34f1444b0001 */,
+0.790126881326406182996 /* 0x0.ca45c15afcc570001 */,
+0.791197281930050233534 /* 0x0.ca8be7b292db38000 */,
+0.792269132620954885659 /* 0x0.cad2265e3cbee8000 */,
+0.793342435380726906957 /* 0x0.cb187d667d3d38006 */,
+0.794417192158282659010 /* 0x0.cb5eecd3b33158006 */,
+0.795493404931386649540 /* 0x0.cba574ae5d2e80001 */,
+0.796571075671306805268 /* 0x0.cbec14fef2a348004 */,
+0.797650206352955137846 /* 0x0.cc32cdcdef0000000 */,
+0.798730798954342069432 /* 0x0.cc799f23d11d18000 */,
+0.799812855456121796232 /* 0x0.ccc089091abb28004 */,
+0.800896377841454287795 /* 0x0.cd078b86505c18003 */,
+0.801981368096190028208 /* 0x0.cd4ea6a3f97720007 */,
+0.803067828208752554378 /* 0x0.cd95da6aa057b8007 */,
+0.804155760170129796375 /* 0x0.cddd26e2d21b28001 */,
+0.805245165974338261710 /* 0x0.ce248c151f3330001 */,
+0.806336047619038653883 /* 0x0.ce6c0a0a1c1350001 */,
+0.807428407102107836855 /* 0x0.ceb3a0ca5d6be0006 */,
+0.808522246427078927792 /* 0x0.cefb505e7e2550007 */,
+0.809617567597010201484 /* 0x0.cf4318cf18a268002 */,
+0.810714372621179513182 /* 0x0.cf8afa24ce1c98004 */,
+0.811812663508675536069 /* 0x0.cfd2f4683f9810005 */,
+0.812912442272482604912 /* 0x0.d01b07a2126188003 */,
+0.814013710929394895825 /* 0x0.d06333daeff618001 */,
+0.815116471495287542325 /* 0x0.d0ab791b80d028006 */,
+0.816220725993571205593 /* 0x0.d0f3d76c75b330000 */,
+0.817326476447408967199 /* 0x0.d13c4ed67f1cf8000 */,
+0.818433724883006474832 /* 0x0.d184df6250e3b0001 */,
+0.819542473330909460055 /* 0x0.d1cd8918a3a328004 */,
+0.820652723822034690935 /* 0x0.d2164c02305fa0002 */,
+0.821764478391968422618 /* 0x0.d25f2827b53fb0005 */,
+0.822877739077315761840 /* 0x0.d2a81d91f188b8000 */,
+0.823992507918612782109 /* 0x0.d2f12c49a8d290005 */,
+0.825108786960634610365 /* 0x0.d33a5457a35e40003 */,
+0.826226578247117093869 /* 0x0.d38395c4a84848007 */,
+0.827345883828319528258 /* 0x0.d3ccf09985d958004 */,
+0.828466705754248966560 /* 0x0.d41664df0a1320005 */,
+0.829589046080638992111 /* 0x0.d45ff29e094330000 */,
+0.830712906863802391671 /* 0x0.d4a999df585a20005 */,
+0.831838290163696481037 /* 0x0.d4f35aabd04a60006 */,
+0.832965198041969556729 /* 0x0.d53d350c4be258002 */,
+0.834093632565442222342 /* 0x0.d5872909aba050007 */,
+0.835223595802037643865 /* 0x0.d5d136acd138e8006 */,
+0.836355089820669306292 /* 0x0.d61b5dfe9f7780004 */,
+0.837488116698010487424 /* 0x0.d6659f0801afa8005 */,
+0.838622678508982644113 /* 0x0.d6aff9d1e147d8004 */,
+0.839758777333464490056 /* 0x0.d6fa6e652d19e0000 */,
+0.840896415254110962690 /* 0x0.d744fccad70d00003 */,
+0.842035594355151628676 /* 0x0.d78fa50bd2c3b0000 */,
+0.843176316724478125433 /* 0x0.d7da673117e730007 */,
+0.844318584453106590905 /* 0x0.d8254343a19038003 */,
+0.845462399634695271912 /* 0x0.d870394c6dbf30003 */,
+0.846607764365415071965 /* 0x0.d8bb49547d37c0004 */,
+0.847754680744707056494 /* 0x0.d9067364d45608003 */,
+0.848903150873708822763 /* 0x0.d951b7867953b0006 */,
+0.850053176859071113491 /* 0x0.d99d15c2787a30006 */,
+0.851204760807439786431 /* 0x0.d9e88e21de11a0003 */,
+0.852357904828824897169 /* 0x0.da3420adba1508003 */,
+0.853512611037803181642 /* 0x0.da7fcd6f2184d8005 */,
+0.854668881550406100980 /* 0x0.dacb946f2afaf8000 */,
+0.855826718478671755185 /* 0x0.db1775b6e8ad48000 */,
+0.856986123964844970247 /* 0x0.db63714f8e0818006 */,
+0.858147100114499461478 /* 0x0.dbaf87422625b8000 */,
+0.859309649060962410524 /* 0x0.dbfbb797daa460002 */,
+0.860473772936213743282 /* 0x0.dc480259d3a710001 */,
+0.861639473872910177676 /* 0x0.dc9467913a0f48006 */,
+0.862806754008130227807 /* 0x0.dce0e7473b9b28003 */,
+0.863975615481124226159 /* 0x0.dd2d8185086c20006 */,
+0.865146060433749419813 /* 0x0.dd7a3653d38168005 */,
+0.866318091005120138881 /* 0x0.ddc705bcccd628000 */,
+0.867491709362415264210 /* 0x0.de13efc9434100004 */,
+0.868666917636779056818 /* 0x0.de60f4825df9b8005 */,
+0.869843717989716047624 /* 0x0.deae13f16599c0003 */,
+0.871022112578215268471 /* 0x0.defb4e1f9dc388002 */,
+0.872202103559697183859 /* 0x0.df48a3164a92f0001 */,
+0.873383693097737778847 /* 0x0.df9612deb6e878007 */,
+0.874566883362160263365 /* 0x0.dfe39d82348310001 */,
+0.875751676517234511901 /* 0x0.e031430a0f0688000 */,
+0.876938074732511840819 /* 0x0.e07f037f97e548001 */,
+0.878126080186539592654 /* 0x0.e0ccdeec2a75e0006 */,
+0.879315695055312818168 /* 0x0.e11ad5591f4078001 */,
+0.880506921518618312932 /* 0x0.e168e6cfd2f880004 */,
+0.881699761760385225541 /* 0x0.e1b71359a6df60003 */,
+0.882894217964411143207 /* 0x0.e2055afffc1178000 */,
+0.884090292325693805080 /* 0x0.e253bdcc3ffbb8001 */,
+0.885287987031581180559 /* 0x0.e2a23bc7d7a1d8002 */,
+0.886487304278189114386 /* 0x0.e2f0d4fc31ab80004 */,
+0.887688246263368285778 /* 0x0.e33f8972bea8a8005 */,
+0.888890815189881999840 /* 0x0.e38e5934f49010007 */,
+0.890095013257492739835 /* 0x0.e3dd444c460bd0007 */,
+0.891300842677948068626 /* 0x0.e42c4ac232f380000 */,
+0.892508305659222567226 /* 0x0.e47b6ca036f8b8005 */,
+0.893717404414979710310 /* 0x0.e4caa9efd40e58002 */,
+0.894928141160697743242 /* 0x0.e51a02ba8e2610007 */,
+0.896140518115016826430 /* 0x0.e5697709ecab90000 */,
+0.897354537501434679237 /* 0x0.e5b906e77c61d0006 */,
+0.898570201543732793877 /* 0x0.e608b25cca5ba8005 */,
+0.899787512470129891014 /* 0x0.e6587973688ce8002 */,
+0.901006472512270728537 /* 0x0.e6a85c34ecadb8000 */,
+0.902227083902570559127 /* 0x0.e6f85aaaed4f20006 */,
+0.903449348881299796343 /* 0x0.e74874df09a530003 */,
+0.904673269686823378091 /* 0x0.e798aadadecba0007 */,
+0.905898848559668845585 /* 0x0.e7e8fca80c3ee0001 */,
+0.907126087750156795426 /* 0x0.e8396a503c3fe0005 */,
+0.908354989505901100354 /* 0x0.e889f3dd1615b0002 */,
+0.909585556079328783087 /* 0x0.e8da9958465228007 */,
+0.910817789726044213523 /* 0x0.e92b5acb7d0578001 */,
+0.912051692703457872481 /* 0x0.e97c38406c3c30003 */,
+0.913287267274154990210 /* 0x0.e9cd31c0cbb370001 */,
+0.914524515702244578108 /* 0x0.ea1e475654d540000 */,
+0.915763440256158633982 /* 0x0.ea6f790ac5cc78001 */,
+0.917004043205012497909 /* 0x0.eac0c6e7dd8448007 */,
+0.918246326823137892807 /* 0x0.eb1230f760a428007 */,
+0.919490293387826285200 /* 0x0.eb63b7431714a8007 */,
+0.920735945178816406225 /* 0x0.ebb559d4cb6f30007 */,
+0.921983284479243714322 /* 0x0.ec0718b64c0940002 */,
+0.923232313574974705626 /* 0x0.ec58f3f16a3910002 */,
+0.924483034755387955725 /* 0x0.ecaaeb8ffb3168005 */,
+0.925735450311948926408 /* 0x0.ecfcff9bd67078000 */,
+0.926989562542820610982 /* 0x0.ed4f301edad1a0007 */,
+0.928245373740515189457 /* 0x0.eda17d22e0f9b0001 */,
+0.929502886213858126045 /* 0x0.edf3e6b1d37d40001 */,
+0.930762102264245716494 /* 0x0.ee466cd594c5c8005 */,
+0.932023024199046146183 /* 0x0.ee990f980dcdb0005 */,
+0.933285654329454095216 /* 0x0.eeebcf032bc470007 */,
+0.934549994971191289044 /* 0x0.ef3eab20e0d3c0001 */,
+0.935816048439005676599 /* 0x0.ef91a3fb1e1340004 */,
+0.937083817055075818404 /* 0x0.efe4b99bdcc618006 */,
+0.938353303143720007819 /* 0x0.f037ec0d1889b8000 */,
+0.939624509028518128972 /* 0x0.f08b3b58cc2bb8006 */,
+0.940897437041863904384 /* 0x0.f0dea788fc2a90000 */,
+0.942172089516254085427 /* 0x0.f13230a7ad21b8003 */,
+0.943448468787511540534 /* 0x0.f185d6bee754e0006 */,
+0.944726577195256100890 /* 0x0.f1d999d8b73478005 */,
+0.946006417082291717338 /* 0x0.f22d79ff2cb130000 */,
+0.947287990793413858827 /* 0x0.f281773c59ec48007 */,
+0.948571300678290207925 /* 0x0.f2d5919a566268001 */,
+0.949856349088629370320 /* 0x0.f329c9233bceb0001 */,
+0.951143138379053731954 /* 0x0.f37e1de1272068002 */,
+0.952431670908847949364 /* 0x0.f3d28fde3a6728006 */,
+0.953721949039916472305 /* 0x0.f4271f249a93f0001 */,
+0.955013975135367898520 /* 0x0.f47bcbbe6deab0001 */,
+0.956307751564417496418 /* 0x0.f4d095b5e16638004 */,
+0.957603280698967163097 /* 0x0.f5257d1524f590006 */,
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+1.402772691220124823310 /* 0x1.671c1c708328e000a */,
+1.404673055288671035301 /* 0x1.6798a7420988b000d */,
+1.406575993818903302975 /* 0x1.68155d44ca77a000f */,
+1.408481510297352468121 /* 0x1.68923e87bf70e000a */,
+1.410389608216942924956 /* 0x1.690f4b19e8f74000c */,
+1.412300291075172076232 /* 0x1.698c830a4c94c0008 */
+};
+#define S (1.0/4503599627370496.0) /* 2^-52 */
+static const float exp2_deltatable[512] = {
+ 11527*S, -963*S, 884*S, -781*S, -2363*S, -3441*S, 123*S, 526*S,
+ -6*S, 1254*S, -1138*S, 1519*S, 1576*S, -65*S, 1040*S, 793*S,
+ -1662*S, -5063*S, -387*S, 968*S, -941*S, 984*S, -2856*S, -545*S,
+ 495*S, -5246*S, -2109*S, 1281*S, 2075*S, 909*S, -1642*S,-78233*S,
+-31653*S, -265*S, 130*S, 430*S, 2482*S, -742*S, 1616*S, -2213*S,
+ -519*S, 20*S, -3134*S,-13981*S, 1343*S, -1740*S, 247*S, 1679*S,
+ -1097*S, 3131*S, 871*S, -1480*S, 1936*S, -1827*S, 17325*S, 528*S,
+ -322*S, 1404*S, -152*S, -1845*S, -212*S, 2639*S, -476*S, 2960*S,
+ -962*S, -1012*S, -1231*S, 3030*S, 1659*S, -486*S, 2154*S, 1728*S,
+ -2793*S, 699*S, -1560*S, -2125*S, 2156*S, 142*S, -1888*S, 4426*S,
+-13443*S, 1970*S, -50*S, 1771*S,-43399*S, 4979*S, -2448*S, -370*S,
+ 1414*S, 1075*S, 232*S, 206*S, 873*S, 2141*S, 2970*S, 1279*S,
+ -2331*S, 336*S, -2595*S, 753*S, -3384*S, -616*S, 89*S, -818*S,
+ 5755*S, -241*S, -528*S, -661*S, -3777*S, -354*S, 250*S, 3881*S,
+ 2632*S, -2131*S, 2565*S, -316*S, 1746*S, -2541*S, -1324*S, -50*S,
+ 2564*S, -782*S, 1176*S, 6452*S, -1002*S, 1288*S, 336*S, -185*S,
+ 3063*S, 3784*S, 2169*S, 686*S, 328*S, -400*S, 312*S, -4517*S,
+ -1457*S, 1046*S, -1530*S, -685*S, 1328*S,-49815*S, -895*S, 1063*S,
+ -2091*S, -672*S, -1710*S, -665*S, 1545*S, 1819*S,-45265*S, 3548*S,
+ -554*S, -568*S, 4752*S, -1907*S,-13738*S, 675*S, 9611*S, -1115*S,
+ -815*S, 408*S, -1281*S, -937*S,-16376*S, -4772*S, -1440*S, 992*S,
+ 788*S, 10364*S, -1602*S, -661*S, -1783*S, -265*S, -20*S, -3781*S,
+ -861*S, -345*S, -994*S, 1364*S, -5339*S, 1620*S, 9390*S, -1066*S,
+ -305*S, -170*S, 175*S, 2461*S, -490*S, -769*S, -1450*S, 3315*S,
+ 2418*S, -45*S, -852*S, -1295*S, -488*S, -96*S, 1142*S, -2639*S,
+ 7905*S, -9306*S, -3859*S, 760*S, 1057*S, -1570*S, 3977*S, 209*S,
+ -514*S, 7151*S, 1646*S, 627*S, 599*S, -774*S, -1468*S, 633*S,
+ -473*S, 851*S, 2406*S, 143*S, 74*S, 4260*S, 1177*S, -913*S,
+ 2670*S, -3298*S, -1662*S, -120*S, -3264*S, -2148*S, 410*S, 2078*S,
+ -2098*S, -926*S, 3580*S, -1289*S, 2450*S, -1158*S, 907*S, -590*S,
+ 986*S, 1801*S, 1145*S, -1677*S, 3455*S, 956*S, 710*S, 144*S,
+ 153*S, -255*S, -1898*S, 28102*S, 2748*S, 1194*S, -3009*S, 7076*S,
+ 0*S, -2720*S, 711*S, 1225*S, -3034*S, -473*S, 378*S, -1046*S,
+ 962*S, -2006*S, 4647*S, 3206*S, 1769*S, -2665*S, 1254*S, 2025*S,
+ -2430*S, 6193*S, 1224*S, -856*S, -1592*S, -325*S, -1521*S, 1827*S,
+ -264*S, 2403*S, -1065*S, 967*S, -681*S, -2106*S, -474*S, 1333*S,
+ -893*S, 2296*S, 592*S, -1220*S, -326*S, 990*S, 139*S, 206*S,
+ -779*S, -1683*S, 1238*S, 6098*S, 136*S, 1197*S, 790*S, -107*S,
+ -1004*S, -2449*S, 939*S, 5568*S, 156*S, 1812*S, 2792*S, -1094*S,
+ -2677*S, -251*S, 2297*S, 943*S, -1329*S, 2883*S, -853*S, -2626*S,
+-105929*S, -6552*S, 1095*S, -1508*S, 1003*S, 5039*S, -2600*S, -749*S,
+ 1790*S, 890*S, 2016*S, -1073*S, 624*S, -2084*S, -1536*S, -1330*S,
+ 358*S, 2444*S, -179*S,-25759*S, -243*S, -552*S, -124*S, 3766*S,
+ 1192*S, -1614*S, 6*S, -1227*S, 345*S, -981*S, -295*S, -1006*S,
+ -995*S, -1195*S, 706*S, 2512*S, -1758*S, -734*S, -6286*S, -922*S,
+ 1530*S, 1542*S, 1223*S, 61*S, -83*S, 522*S,116937*S, -914*S,
+ -418*S, -7339*S, 249*S, -520*S, -762*S, 426*S, -505*S, 2664*S,
+ -1093*S, -1035*S, 2130*S, 4878*S, 1982*S, 1551*S, 2304*S, 193*S,
+ 1532*S, -7268*S, 24357*S, 531*S, 2676*S, -1170*S, 1465*S, -1917*S,
+ 2143*S, 1466*S, -7*S, -7300*S, 3297*S, -1197*S, -289*S, -1548*S,
+ 26226*S, 4401*S, 4123*S, -1588*S, 4243*S, 4069*S, -1276*S, -2010*S,
+ 1407*S, 1478*S, 488*S, -2366*S, -2909*S, -2534*S, -1285*S, 7095*S,
+ -645*S, -2089*S, -944*S, -40*S, -1363*S, -833*S, 917*S, 1609*S,
+ 1286*S, 1677*S, 1613*S, -2295*S, -1248*S, 40*S, 26*S, 2038*S,
+ 698*S, 2675*S, -1755*S, -3522*S, -1614*S, -6111*S, 270*S, 1822*S,
+ -234*S, -2844*S, -1201*S, -830*S, 1193*S, 2354*S, 47*S, 1522*S,
+ -78*S, -640*S, 2425*S, -1596*S, 1563*S, 1169*S, -1006*S, -83*S,
+ 2362*S, -3521*S, -314*S, 1814*S, -1751*S, 305*S, 1715*S, -3741*S,
+ 7847*S, 1291*S, 1206*S, 36*S, 1397*S, -1419*S, -1194*S, -2014*S,
+ 1742*S, -578*S, -207*S, 875*S, 1539*S, 2826*S, -1165*S, -909*S,
+ 1849*S, 927*S, 2018*S, -981*S, 1637*S, -463*S, 905*S, 6618*S,
+ 400*S, 630*S, 2614*S, 900*S, 2323*S, -1094*S, -1858*S, -212*S,
+ -2069*S, 747*S, 1845*S, -1450*S, 444*S, -213*S, -438*S, 1158*S,
+ 4738*S, 2497*S, -370*S, -2016*S, -518*S, -1160*S, -1510*S, 123*S
+};
+/* Maximum magnitude in above table: 116937 */
+#undef S
diff --git a/sysdeps/ieee754/dbl-64/w_exp.c b/sysdeps/ieee754/dbl-64/w_exp.c
new file mode 100644
index 0000000..445c578
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/w_exp.c
@@ -0,0 +1,58 @@
+/* @(#)w_exp.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_exp.c,v 1.6 1995/05/10 20:48:51 jtc Exp $";
+#endif
+
+/*
+ * wrapper exp(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+o_threshold= 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */
+u_threshold= -7.45133219101941108420e+02; /* 0xc0874910, 0xD52D3051 */
+
+#ifdef __STDC__
+ double __exp(double x) /* wrapper exp */
+#else
+ double __exp(x) /* wrapper exp */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_exp(x);
+#else
+ double z;
+ z = __ieee754_exp(x);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(__finite(x)) {
+ if(x>o_threshold)
+ return __kernel_standard(x,x,6); /* exp overflow */
+ else if(x<u_threshold)
+ return __kernel_standard(x,x,7); /* exp underflow */
+ }
+ return z;
+#endif
+}
+weak_alias (__exp, exp)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__exp, __expl)
+weak_alias (__exp, expl)
+#endif
diff --git a/sysdeps/ieee754/flt-32/Dist b/sysdeps/ieee754/flt-32/Dist
new file mode 100644
index 0000000..045ac80
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/Dist
@@ -0,0 +1 @@
+t_exp2f.h
diff --git a/sysdeps/ieee754/flt-32/e_acosf.c b/sysdeps/ieee754/flt-32/e_acosf.c
new file mode 100644
index 0000000..0d85c42
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_acosf.c
@@ -0,0 +1,89 @@
+/* e_acosf.c -- float version of e_acos.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_acosf.c,v 1.5 1995/05/12 04:57:16 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0000000000e+00, /* 0x3F800000 */
+pi = 3.1415925026e+00, /* 0x40490fda */
+pio2_hi = 1.5707962513e+00, /* 0x3fc90fda */
+pio2_lo = 7.5497894159e-08, /* 0x33a22168 */
+pS0 = 1.6666667163e-01, /* 0x3e2aaaab */
+pS1 = -3.2556581497e-01, /* 0xbea6b090 */
+pS2 = 2.0121252537e-01, /* 0x3e4e0aa8 */
+pS3 = -4.0055535734e-02, /* 0xbd241146 */
+pS4 = 7.9153501429e-04, /* 0x3a4f7f04 */
+pS5 = 3.4793309169e-05, /* 0x3811ef08 */
+qS1 = -2.4033949375e+00, /* 0xc019d139 */
+qS2 = 2.0209457874e+00, /* 0x4001572d */
+qS3 = -6.8828397989e-01, /* 0xbf303361 */
+qS4 = 7.7038154006e-02; /* 0x3d9dc62e */
+
+#ifdef __STDC__
+ float __ieee754_acosf(float x)
+#else
+ float __ieee754_acosf(x)
+ float x;
+#endif
+{
+ float z,p,q,r,w,s,c,df;
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix==0x3f800000) { /* |x|==1 */
+ if(hx>0) return 0.0; /* acos(1) = 0 */
+ else return pi+(float)2.0*pio2_lo; /* acos(-1)= pi */
+ } else if(ix>0x3f800000) { /* |x| >= 1 */
+ return (x-x)/(x-x); /* acos(|x|>1) is NaN */
+ }
+ if(ix<0x3f000000) { /* |x| < 0.5 */
+ if(ix<=0x23000000) return pio2_hi+pio2_lo;/*if|x|<2**-57*/
+ z = x*x;
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+ r = p/q;
+ return pio2_hi - (x - (pio2_lo-x*r));
+ } else if (hx<0) { /* x < -0.5 */
+ z = (one+x)*(float)0.5;
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+ s = __ieee754_sqrtf(z);
+ r = p/q;
+ w = r*s-pio2_lo;
+ return pi - (float)2.0*(s+w);
+ } else { /* x > 0.5 */
+ int32_t idf;
+ z = (one-x)*(float)0.5;
+ s = __ieee754_sqrtf(z);
+ df = s;
+ GET_FLOAT_WORD(idf,df);
+ SET_FLOAT_WORD(df,idf&0xfffff000);
+ c = (z-df*df)/(s+df);
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+ r = p/q;
+ w = r*s+c;
+ return (float)2.0*(df+w);
+ }
+}
diff --git a/sysdeps/ieee754/flt-32/e_acoshf.c b/sysdeps/ieee754/flt-32/e_acoshf.c
new file mode 100644
index 0000000..c607f72
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_acoshf.c
@@ -0,0 +1,57 @@
+/* e_acoshf.c -- float version of e_acosh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_acoshf.c,v 1.5 1995/05/12 04:57:20 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0,
+ln2 = 6.9314718246e-01; /* 0x3f317218 */
+
+#ifdef __STDC__
+ float __ieee754_acoshf(float x)
+#else
+ float __ieee754_acoshf(x)
+ float x;
+#endif
+{
+ float t;
+ int32_t hx;
+ GET_FLOAT_WORD(hx,x);
+ if(hx<0x3f800000) { /* x < 1 */
+ return (x-x)/(x-x);
+ } else if(hx >=0x4d800000) { /* x > 2**28 */
+ if(hx >=0x7f800000) { /* x is inf of NaN */
+ return x+x;
+ } else
+ return __ieee754_logf(x)+ln2; /* acosh(huge)=log(2x) */
+ } else if (hx==0x3f800000) {
+ return 0.0; /* acosh(1) = 0 */
+ } else if (hx > 0x40000000) { /* 2**28 > x > 2 */
+ t=x*x;
+ return __ieee754_logf((float)2.0*x-one/(x+__ieee754_sqrtf(t-one)));
+ } else { /* 1<x<2 */
+ t = x-one;
+ return __log1pf(t+__sqrtf((float)2.0*t+t*t));
+ }
+}
diff --git a/sysdeps/ieee754/flt-32/e_asinf.c b/sysdeps/ieee754/flt-32/e_asinf.c
new file mode 100644
index 0000000..5270f31
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_asinf.c
@@ -0,0 +1,93 @@
+/* e_asinf.c -- float version of e_asin.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_asinf.c,v 1.5 1995/05/12 04:57:25 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0000000000e+00, /* 0x3F800000 */
+huge = 1.000e+30,
+pio2_hi = 1.5707962513e+00, /* 0x3fc90fda */
+pio2_lo = 7.5497894159e-08, /* 0x33a22168 */
+pio4_hi = 7.8539818525e-01, /* 0x3f490fdb */
+ /* coefficient for R(x^2) */
+pS0 = 1.6666667163e-01, /* 0x3e2aaaab */
+pS1 = -3.2556581497e-01, /* 0xbea6b090 */
+pS2 = 2.0121252537e-01, /* 0x3e4e0aa8 */
+pS3 = -4.0055535734e-02, /* 0xbd241146 */
+pS4 = 7.9153501429e-04, /* 0x3a4f7f04 */
+pS5 = 3.4793309169e-05, /* 0x3811ef08 */
+qS1 = -2.4033949375e+00, /* 0xc019d139 */
+qS2 = 2.0209457874e+00, /* 0x4001572d */
+qS3 = -6.8828397989e-01, /* 0xbf303361 */
+qS4 = 7.7038154006e-02; /* 0x3d9dc62e */
+
+#ifdef __STDC__
+ float __ieee754_asinf(float x)
+#else
+ float __ieee754_asinf(x)
+ float x;
+#endif
+{
+ float t,w,p,q,c,r,s;
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix==0x3f800000) {
+ /* asin(1)=+-pi/2 with inexact */
+ return x*pio2_hi+x*pio2_lo;
+ } else if(ix> 0x3f800000) { /* |x|>= 1 */
+ return (x-x)/(x-x); /* asin(|x|>1) is NaN */
+ } else if (ix<0x3f000000) { /* |x|<0.5 */
+ if(ix<0x32000000) { /* if |x| < 2**-27 */
+ if(huge+x>one) return x;/* return x with inexact if x!=0*/
+ } else {
+ t = x*x;
+ p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+ q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+ w = p/q;
+ return x+x*w;
+ }
+ }
+ /* 1> |x|>= 0.5 */
+ w = one-fabsf(x);
+ t = w*(float)0.5;
+ p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+ q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+ s = __ieee754_sqrtf(t);
+ if(ix>=0x3F79999A) { /* if |x| > 0.975 */
+ w = p/q;
+ t = pio2_hi-((float)2.0*(s+s*w)-pio2_lo);
+ } else {
+ int32_t iw;
+ w = s;
+ GET_FLOAT_WORD(iw,w);
+ SET_FLOAT_WORD(w,iw&0xfffff000);
+ c = (t-w*w)/(s+w);
+ r = p/q;
+ p = (float)2.0*s*r-(pio2_lo-(float)2.0*c);
+ q = pio4_hi-(float)2.0*w;
+ t = pio4_hi-(p-q);
+ }
+ if(hx>0) return t; else return -t;
+}
diff --git a/sysdeps/ieee754/flt-32/e_atan2f.c b/sysdeps/ieee754/flt-32/e_atan2f.c
new file mode 100644
index 0000000..8b3398c
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_atan2f.c
@@ -0,0 +1,105 @@
+/* e_atan2f.c -- float version of e_atan2.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_atan2f.c,v 1.4 1995/05/10 20:44:53 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+tiny = 1.0e-30,
+zero = 0.0,
+pi_o_4 = 7.8539818525e-01, /* 0x3f490fdb */
+pi_o_2 = 1.5707963705e+00, /* 0x3fc90fdb */
+pi = 3.1415927410e+00, /* 0x40490fdb */
+pi_lo = -8.7422776573e-07; /* 0xb3bbbd2e */
+
+#ifdef __STDC__
+ float __ieee754_atan2f(float y, float x)
+#else
+ float __ieee754_atan2f(y,x)
+ float y,x;
+#endif
+{
+ float z;
+ int32_t k,m,hx,hy,ix,iy;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ GET_FLOAT_WORD(hy,y);
+ iy = hy&0x7fffffff;
+ if((ix>0x7f800000)||
+ (iy>0x7f800000)) /* x or y is NaN */
+ return x+y;
+ if(hx==0x3f800000) return __atanf(y); /* x=1.0 */
+ m = ((hy>>31)&1)|((hx>>30)&2); /* 2*sign(x)+sign(y) */
+
+ /* when y = 0 */
+ if(iy==0) {
+ switch(m) {
+ case 0:
+ case 1: return y; /* atan(+-0,+anything)=+-0 */
+ case 2: return pi+tiny;/* atan(+0,-anything) = pi */
+ case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
+ }
+ }
+ /* when x = 0 */
+ if(ix==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* when x is INF */
+ if(ix==0x7f800000) {
+ if(iy==0x7f800000) {
+ switch(m) {
+ case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
+ case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
+ case 2: return (float)3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
+ case 3: return (float)-3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
+ }
+ } else {
+ switch(m) {
+ case 0: return zero ; /* atan(+...,+INF) */
+ case 1: return -zero ; /* atan(-...,+INF) */
+ case 2: return pi+tiny ; /* atan(+...,-INF) */
+ case 3: return -pi-tiny ; /* atan(-...,-INF) */
+ }
+ }
+ }
+ /* when y is INF */
+ if(iy==0x7f800000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* compute y/x */
+ k = (iy-ix)>>23;
+ if(k > 60) z=pi_o_2+(float)0.5*pi_lo; /* |y/x| > 2**60 */
+ else if(hx<0&&k<-60) z=0.0; /* |y|/x < -2**60 */
+ else z=__atanf(fabsf(y/x)); /* safe to do y/x */
+ switch (m) {
+ case 0: return z ; /* atan(+,+) */
+ case 1: {
+ u_int32_t zh;
+ GET_FLOAT_WORD(zh,z);
+ SET_FLOAT_WORD(z,zh ^ 0x80000000);
+ }
+ return z ; /* atan(-,+) */
+ case 2: return pi-(z-pi_lo);/* atan(+,-) */
+ default: /* case 3 */
+ return (z-pi_lo)-pi;/* atan(-,-) */
+ }
+}
diff --git a/sysdeps/ieee754/flt-32/e_atanhf.c b/sysdeps/ieee754/flt-32/e_atanhf.c
new file mode 100644
index 0000000..f26a15b
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_atanhf.c
@@ -0,0 +1,58 @@
+/* e_atanhf.c -- float version of e_atanh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_atanhf.c,v 1.4 1995/05/10 20:44:56 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0, huge = 1e30;
+#else
+static float one = 1.0, huge = 1e30;
+#endif
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_atanhf(float x)
+#else
+ float __ieee754_atanhf(x)
+ float x;
+#endif
+{
+ float t;
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if (ix>0x3f800000) /* |x|>1 */
+ return (x-x)/(x-x);
+ if(ix==0x3f800000)
+ return x/zero;
+ if(ix<0x31800000&&(huge+x)>zero) return x; /* x<2**-28 */
+ SET_FLOAT_WORD(x,ix);
+ if(ix<0x3f000000) { /* x < 0.5 */
+ t = x+x;
+ t = (float)0.5*__log1pf(t+t*x/(one-x));
+ } else
+ t = (float)0.5*__log1pf((x+x)/(one-x));
+ if(hx>=0) return t; else return -t;
+}
diff --git a/sysdeps/ieee754/flt-32/e_coshf.c b/sysdeps/ieee754/flt-32/e_coshf.c
new file mode 100644
index 0000000..223fbee
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_coshf.c
@@ -0,0 +1,72 @@
+/* e_coshf.c -- float version of e_cosh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_coshf.c,v 1.6 1996/04/08 15:43:41 phil Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float huge = 1.0e30;
+static const float one = 1.0, half=0.5;
+#else
+static float one = 1.0, half=0.5, huge = 1.0e30;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_coshf(float x)
+#else
+ float __ieee754_coshf(x)
+ float x;
+#endif
+{
+ float t,w;
+ int32_t ix;
+
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7f800000) return x*x;
+
+ /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
+ if(ix<0x3eb17218) {
+ t = __expm1f(fabsf(x));
+ w = one+t;
+ if (ix<0x24000000) return w; /* cosh(tiny) = 1 */
+ return one+(t*t)/(w+w);
+ }
+
+ /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
+ if (ix < 0x41b00000) {
+ t = __ieee754_expf(fabsf(x));
+ return half*t+half/t;
+ }
+
+ /* |x| in [22, log(maxdouble)] return half*exp(|x|) */
+ if (ix < 0x42b17180) return half*__ieee754_expf(fabsf(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ if (ix<=0x42b2d4fc) {
+ w = __ieee754_expf(half*fabsf(x));
+ t = half*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthresold, cosh(x) overflow */
+ return huge*huge;
+}
diff --git a/sysdeps/ieee754/flt-32/e_expf.c b/sysdeps/ieee754/flt-32/e_expf.c
new file mode 100644
index 0000000..e8a9c9d
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_expf.c
@@ -0,0 +1,140 @@
+/* Single-precision floating point e^x.
+ Copyright (C) 1997, 1998 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Geoffrey Keating <geoffk@ozemail.com.au>
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+/* How this works:
+
+ The input value, x, is written as
+
+ x = n * ln(2) + t/512 + delta[t] + x;
+
+ where:
+ - n is an integer, 127 >= n >= -150;
+ - t is an integer, 177 >= t >= -177
+ - delta is based on a table entry, delta[t] < 2^-28
+ - x is whatever is left, |x| < 2^-10
+
+ Then e^x is approximated as
+
+ e^x = 2^n ( e^(t/512 + delta[t])
+ + ( e^(t/512 + delta[t])
+ * ( p(x + delta[t] + n * ln(2)) - delta ) ) )
+
+ where
+ - p(x) is a polynomial approximating e(x)-1;
+ - e^(t/512 + delta[t]) is obtained from a table.
+
+ The table used is the same one as for the double precision version;
+ since we have the table, we might as well use it.
+
+ It turns out to be faster to do calculations in double precision than
+ to perform an 'accurate table method' expf, because of the range reduction
+ overhead (compare exp2f).
+ */
+#ifndef _GNU_SOURCE
+#define _GNU_SOURCE
+#endif
+#include <float.h>
+#include <ieee754.h>
+#include <math.h>
+#include <fenv.h>
+#include <inttypes.h>
+#include <math_private.h>
+
+extern const float __exp_deltatable[178];
+extern const double __exp_atable[355] /* __attribute__((mode(DF))) */;
+
+static const volatile float TWOM100 = 7.88860905e-31;
+static const volatile float TWO127 = 1.7014118346e+38;
+
+float
+__ieee754_expf (float x)
+{
+ static const float himark = 88.72283935546875;
+ static const float lomark = -103.972084045410;
+ /* Check for usual case. */
+ if (isless (x, himark) && isgreater (x, lomark))
+ {
+ static const float THREEp42 = 13194139533312.0;
+ static const float THREEp22 = 12582912.0;
+ /* 1/ln(2). */
+#undef M_1_LN2
+ static const float M_1_LN2 = 1.44269502163f;
+ /* ln(2) */
+#undef M_LN2
+ static const double M_LN2 = .6931471805599452862;
+
+ int tval;
+ double x22, t, result, dx;
+ float n, delta;
+ union ieee754_double ex2_u;
+ fenv_t oldenv;
+
+ feholdexcept (&oldenv);
+#ifdef FE_TONEAREST
+ fesetround (FE_TONEAREST);
+#endif
+
+ /* Calculate n. */
+ n = x * M_1_LN2 + THREEp22;
+ n -= THREEp22;
+ dx = x - n*M_LN2;
+
+ /* Calculate t/512. */
+ t = dx + THREEp42;
+ t -= THREEp42;
+ dx -= t;
+
+ /* Compute tval = t. */
+ tval = (int) (t * 512.0);
+
+ if (t >= 0)
+ delta = - __exp_deltatable[tval];
+ else
+ delta = __exp_deltatable[-tval];
+
+ /* Compute ex2 = 2^n e^(t/512+delta[t]). */
+ ex2_u.d = __exp_atable[tval+177];
+ ex2_u.ieee.exponent += (int) n;
+
+ /* Approximate e^(dx+delta) - 1, using a second-degree polynomial,
+ with maximum error in [-2^-10-2^-28,2^-10+2^-28]
+ less than 5e-11. */
+ x22 = (0.5000000496709180453 * dx + 1.0000001192102037084) * dx + delta;
+
+ /* Return result. */
+ fesetenv (&oldenv);
+
+ result = x22 * ex2_u.d + ex2_u.d;
+ return (float) result;
+ }
+ /* Exceptional cases: */
+ else if (isless (x, himark))
+ {
+ if (__isinff (x))
+ /* e^-inf == 0, with no error. */
+ return 0;
+ else
+ /* Underflow */
+ return TWOM100 * TWOM100;
+ }
+ else
+ /* Return x, if x is a NaN or Inf; or overflow, otherwise. */
+ return TWO127*x;
+}
diff --git a/sysdeps/ieee754/flt-32/e_fmodf.c b/sysdeps/ieee754/flt-32/e_fmodf.c
new file mode 100644
index 0000000..47b3123
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_fmodf.c
@@ -0,0 +1,113 @@
+/* e_fmodf.c -- float version of e_fmod.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_fmodf.c,v 1.4 1995/05/10 20:45:10 jtc Exp $";
+#endif
+
+/*
+ * __ieee754_fmodf(x,y)
+ * Return x mod y in exact arithmetic
+ * Method: shift and subtract
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0, Zero[] = {0.0, -0.0,};
+#else
+static float one = 1.0, Zero[] = {0.0, -0.0,};
+#endif
+
+#ifdef __STDC__
+ float __ieee754_fmodf(float x, float y)
+#else
+ float __ieee754_fmodf(x,y)
+ float x,y ;
+#endif
+{
+ int32_t n,hx,hy,hz,ix,iy,sx,i;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hy,y);
+ sx = hx&0x80000000; /* sign of x */
+ hx ^=sx; /* |x| */
+ hy &= 0x7fffffff; /* |y| */
+
+ /* purge off exception values */
+ if(hy==0||(hx>=0x7f800000)|| /* y=0,or x not finite */
+ (hy>0x7f800000)) /* or y is NaN */
+ return (x*y)/(x*y);
+ if(hx<hy) return x; /* |x|<|y| return x */
+ if(hx==hy)
+ return Zero[(u_int32_t)sx>>31]; /* |x|=|y| return x*0*/
+
+ /* determine ix = ilogb(x) */
+ if(hx<0x00800000) { /* subnormal x */
+ for (ix = -126,i=(hx<<8); i>0; i<<=1) ix -=1;
+ } else ix = (hx>>23)-127;
+
+ /* determine iy = ilogb(y) */
+ if(hy<0x00800000) { /* subnormal y */
+ for (iy = -126,i=(hy<<8); i>=0; i<<=1) iy -=1;
+ } else iy = (hy>>23)-127;
+
+ /* set up {hx,lx}, {hy,ly} and align y to x */
+ if(ix >= -126)
+ hx = 0x00800000|(0x007fffff&hx);
+ else { /* subnormal x, shift x to normal */
+ n = -126-ix;
+ hx = hx<<n;
+ }
+ if(iy >= -126)
+ hy = 0x00800000|(0x007fffff&hy);
+ else { /* subnormal y, shift y to normal */
+ n = -126-iy;
+ hy = hy<<n;
+ }
+
+ /* fix point fmod */
+ n = ix - iy;
+ while(n--) {
+ hz=hx-hy;
+ if(hz<0){hx = hx+hx;}
+ else {
+ if(hz==0) /* return sign(x)*0 */
+ return Zero[(u_int32_t)sx>>31];
+ hx = hz+hz;
+ }
+ }
+ hz=hx-hy;
+ if(hz>=0) {hx=hz;}
+
+ /* convert back to floating value and restore the sign */
+ if(hx==0) /* return sign(x)*0 */
+ return Zero[(u_int32_t)sx>>31];
+ while(hx<0x00800000) { /* normalize x */
+ hx = hx+hx;
+ iy -= 1;
+ }
+ if(iy>= -126) { /* normalize output */
+ hx = ((hx-0x00800000)|((iy+127)<<23));
+ SET_FLOAT_WORD(x,hx|sx);
+ } else { /* subnormal output */
+ n = -126 - iy;
+ hx >>= n;
+ SET_FLOAT_WORD(x,hx|sx);
+ x *= one; /* create necessary signal */
+ }
+ return x; /* exact output */
+}
diff --git a/sysdeps/ieee754/flt-32/e_gammaf_r.c b/sysdeps/ieee754/flt-32/e_gammaf_r.c
new file mode 100644
index 0000000..926905e
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_gammaf_r.c
@@ -0,0 +1,50 @@
+/* Implementation of gamma function according to ISO C.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+#include <math_private.h>
+
+
+float
+__ieee754_gammaf_r (float x, int *signgamp)
+{
+ /* We don't have a real gamma implementation now. We'll use lgamma
+ and the exp function. But due to the required boundary
+ conditions we must check some values separately. */
+ int32_t hx;
+
+ GET_FLOAT_WORD (hx, x);
+
+ if ((hx & 0x7fffffff) == 0)
+ {
+ /* Return value for x == 0 is NaN with invalid exception. */
+ *signgamp = 0;
+ return x / x;
+ }
+ if (hx < 0 && (u_int32_t) hx < 0xff800000 && __rintf (x) == x)
+ {
+ /* Return value for integer x < 0 is NaN with invalid exception. */
+ *signgamp = 0;
+ return (x - x) / (x - x);
+ }
+
+ /* XXX FIXME. */
+ return __ieee754_expf (__ieee754_lgammaf_r (x, signgamp));
+}
diff --git a/sysdeps/ieee754/flt-32/e_hypotf.c b/sysdeps/ieee754/flt-32/e_hypotf.c
new file mode 100644
index 0000000..d6b1520
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_hypotf.c
@@ -0,0 +1,87 @@
+/* e_hypotf.c -- float version of e_hypot.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_hypotf.c,v 1.5 1995/05/12 04:57:30 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __ieee754_hypotf(float x, float y)
+#else
+ float __ieee754_hypot(x,y)
+ float x, y;
+#endif
+{
+ float a,b,t1,t2,y1,y2,w;
+ int32_t j,k,ha,hb;
+
+ GET_FLOAT_WORD(ha,x);
+ ha &= 0x7fffffff;
+ GET_FLOAT_WORD(hb,y);
+ hb &= 0x7fffffff;
+ if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
+ SET_FLOAT_WORD(a,ha); /* a <- |a| */
+ SET_FLOAT_WORD(b,hb); /* b <- |b| */
+ if((ha-hb)>0xf000000) {return a+b;} /* x/y > 2**30 */
+ k=0;
+ if(ha > 0x58800000) { /* a>2**50 */
+ if(ha >= 0x7f800000) { /* Inf or NaN */
+ w = a+b; /* for sNaN */
+ if(ha == 0x7f800000) w = a;
+ if(hb == 0x7f800000) w = b;
+ return w;
+ }
+ /* scale a and b by 2**-60 */
+ ha -= 0x5d800000; hb -= 0x5d800000; k += 60;
+ SET_FLOAT_WORD(a,ha);
+ SET_FLOAT_WORD(b,hb);
+ }
+ if(hb < 0x26800000) { /* b < 2**-50 */
+ if(hb <= 0x007fffff) { /* subnormal b or 0 */
+ if(hb==0) return a;
+ SET_FLOAT_WORD(t1,0x3f000000); /* t1=2^126 */
+ b *= t1;
+ a *= t1;
+ k -= 126;
+ } else { /* scale a and b by 2^60 */
+ ha += 0x5d800000; /* a *= 2^60 */
+ hb += 0x5d800000; /* b *= 2^60 */
+ k -= 60;
+ SET_FLOAT_WORD(a,ha);
+ SET_FLOAT_WORD(b,hb);
+ }
+ }
+ /* medium size a and b */
+ w = a-b;
+ if (w>b) {
+ SET_FLOAT_WORD(t1,ha&0xfffff000);
+ t2 = a-t1;
+ w = __ieee754_sqrtf(t1*t1-(b*(-b)-t2*(a+t1)));
+ } else {
+ a = a+a;
+ SET_FLOAT_WORD(y1,hb&0xfffff000);
+ y2 = b - y1;
+ SET_FLOAT_WORD(t1,ha+0x00800000);
+ t2 = a - t1;
+ w = __ieee754_sqrtf(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+ }
+ if(k!=0) {
+ SET_FLOAT_WORD(t1,0x3f800000+(k<<23));
+ return t1*w;
+ } else return w;
+}
diff --git a/sysdeps/ieee754/flt-32/e_j0f.c b/sysdeps/ieee754/flt-32/e_j0f.c
new file mode 100644
index 0000000..eed171c
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_j0f.c
@@ -0,0 +1,444 @@
+/* e_j0f.c -- float version of e_j0.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_j0f.c,v 1.4 1995/05/10 20:45:25 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static float pzerof(float), qzerof(float);
+#else
+static float pzerof(), qzerof();
+#endif
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+huge = 1e30,
+one = 1.0,
+invsqrtpi= 5.6418961287e-01, /* 0x3f106ebb */
+tpi = 6.3661974669e-01, /* 0x3f22f983 */
+ /* R0/S0 on [0, 2.00] */
+R02 = 1.5625000000e-02, /* 0x3c800000 */
+R03 = -1.8997929874e-04, /* 0xb947352e */
+R04 = 1.8295404516e-06, /* 0x35f58e88 */
+R05 = -4.6183270541e-09, /* 0xb19eaf3c */
+S01 = 1.5619102865e-02, /* 0x3c7fe744 */
+S02 = 1.1692678527e-04, /* 0x38f53697 */
+S03 = 5.1354652442e-07, /* 0x3509daa6 */
+S04 = 1.1661400734e-09; /* 0x30a045e8 */
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_j0f(float x)
+#else
+ float __ieee754_j0f(x)
+ float x;
+#endif
+{
+ float z, s,c,ss,cc,r,u,v;
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) return one/(x*x);
+ x = fabsf(x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = __sinf(x);
+ c = __cosf(x);
+ ss = s-c;
+ cc = s+c;
+ if(ix<0x7f000000) { /* make sure x+x not overflow */
+ z = -__cosf(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /*
+ * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+ * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+ */
+ if(ix>0x48000000) z = (invsqrtpi*cc)/__sqrtf(x);
+ else {
+ u = pzerof(x); v = qzerof(x);
+ z = invsqrtpi*(u*cc-v*ss)/__sqrtf(x);
+ }
+ return z;
+ }
+ if(ix<0x39000000) { /* |x| < 2**-13 */
+ if(huge+x>one) { /* raise inexact if x != 0 */
+ if(ix<0x32000000) return one; /* |x|<2**-27 */
+ else return one - (float)0.25*x*x;
+ }
+ }
+ z = x*x;
+ r = z*(R02+z*(R03+z*(R04+z*R05)));
+ s = one+z*(S01+z*(S02+z*(S03+z*S04)));
+ if(ix < 0x3F800000) { /* |x| < 1.00 */
+ return one + z*((float)-0.25+(r/s));
+ } else {
+ u = (float)0.5*x;
+ return((one+u)*(one-u)+z*(r/s));
+ }
+}
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+u00 = -7.3804296553e-02, /* 0xbd9726b5 */
+u01 = 1.7666645348e-01, /* 0x3e34e80d */
+u02 = -1.3818567619e-02, /* 0xbc626746 */
+u03 = 3.4745343146e-04, /* 0x39b62a69 */
+u04 = -3.8140706238e-06, /* 0xb67ff53c */
+u05 = 1.9559013964e-08, /* 0x32a802ba */
+u06 = -3.9820518410e-11, /* 0xae2f21eb */
+v01 = 1.2730483897e-02, /* 0x3c509385 */
+v02 = 7.6006865129e-05, /* 0x389f65e0 */
+v03 = 2.5915085189e-07, /* 0x348b216c */
+v04 = 4.4111031494e-10; /* 0x2ff280c2 */
+
+#ifdef __STDC__
+ float __ieee754_y0f(float x)
+#else
+ float __ieee754_y0f(x)
+ float x;
+#endif
+{
+ float z, s,c,ss,cc,u,v;
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ /* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0 */
+ if(ix>=0x7f800000) return one/(x+x*x);
+ if(ix==0) return -one/zero;
+ if(hx<0) return zero/zero;
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0))
+ * where x0 = x-pi/4
+ * Better formula:
+ * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
+ * = 1/sqrt(2) * (sin(x) + cos(x))
+ * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.
+ */
+ s = __sinf(x);
+ c = __cosf(x);
+ ss = s-c;
+ cc = s+c;
+ /*
+ * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+ * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+ */
+ if(ix<0x7f000000) { /* make sure x+x not overflow */
+ z = -__cosf(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ if(ix>0x48000000) z = (invsqrtpi*ss)/__sqrtf(x);
+ else {
+ u = pzerof(x); v = qzerof(x);
+ z = invsqrtpi*(u*ss+v*cc)/__sqrtf(x);
+ }
+ return z;
+ }
+ if(ix<=0x32000000) { /* x < 2**-27 */
+ return(u00 + tpi*__ieee754_logf(x));
+ }
+ z = x*x;
+ u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06)))));
+ v = one+z*(v01+z*(v02+z*(v03+z*v04)));
+ return(u/v + tpi*(__ieee754_j0f(x)*__ieee754_logf(x)));
+}
+
+/* The asymptotic expansions of pzero is
+ * 1 - 9/128 s^2 + 11025/98304 s^4 - ..., where s = 1/x.
+ * For x >= 2, We approximate pzero by
+ * pzero(x) = 1 + (R/S)
+ * where R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10
+ * S = 1 + pS0*s^2 + ... + pS4*s^10
+ * and
+ * | pzero(x)-1-R/S | <= 2 ** ( -60.26)
+ */
+#ifdef __STDC__
+static const float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.0000000000e+00, /* 0x00000000 */
+ -7.0312500000e-02, /* 0xbd900000 */
+ -8.0816707611e+00, /* 0xc1014e86 */
+ -2.5706311035e+02, /* 0xc3808814 */
+ -2.4852163086e+03, /* 0xc51b5376 */
+ -5.2530439453e+03, /* 0xc5a4285a */
+};
+#ifdef __STDC__
+static const float pS8[5] = {
+#else
+static float pS8[5] = {
+#endif
+ 1.1653436279e+02, /* 0x42e91198 */
+ 3.8337448730e+03, /* 0x456f9beb */
+ 4.0597855469e+04, /* 0x471e95db */
+ 1.1675296875e+05, /* 0x47e4087c */
+ 4.7627726562e+04, /* 0x473a0bba */
+};
+#ifdef __STDC__
+static const float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ -1.1412546255e-11, /* 0xad48c58a */
+ -7.0312492549e-02, /* 0xbd8fffff */
+ -4.1596107483e+00, /* 0xc0851b88 */
+ -6.7674766541e+01, /* 0xc287597b */
+ -3.3123129272e+02, /* 0xc3a59d9b */
+ -3.4643338013e+02, /* 0xc3ad3779 */
+};
+#ifdef __STDC__
+static const float pS5[5] = {
+#else
+static float pS5[5] = {
+#endif
+ 6.0753936768e+01, /* 0x42730408 */
+ 1.0512523193e+03, /* 0x44836813 */
+ 5.9789707031e+03, /* 0x45bad7c4 */
+ 9.6254453125e+03, /* 0x461665c8 */
+ 2.4060581055e+03, /* 0x451660ee */
+};
+
+#ifdef __STDC__
+static const float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#else
+static float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ -2.5470459075e-09, /* 0xb12f081b */
+ -7.0311963558e-02, /* 0xbd8fffb8 */
+ -2.4090321064e+00, /* 0xc01a2d95 */
+ -2.1965976715e+01, /* 0xc1afba52 */
+ -5.8079170227e+01, /* 0xc2685112 */
+ -3.1447946548e+01, /* 0xc1fb9565 */
+};
+#ifdef __STDC__
+static const float pS3[5] = {
+#else
+static float pS3[5] = {
+#endif
+ 3.5856033325e+01, /* 0x420f6c94 */
+ 3.6151397705e+02, /* 0x43b4c1ca */
+ 1.1936077881e+03, /* 0x44953373 */
+ 1.1279968262e+03, /* 0x448cffe6 */
+ 1.7358093262e+02, /* 0x432d94b8 */
+};
+
+#ifdef __STDC__
+static const float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ -8.8753431271e-08, /* 0xb3be98b7 */
+ -7.0303097367e-02, /* 0xbd8ffb12 */
+ -1.4507384300e+00, /* 0xbfb9b1cc */
+ -7.6356959343e+00, /* 0xc0f4579f */
+ -1.1193166733e+01, /* 0xc1331736 */
+ -3.2336456776e+00, /* 0xc04ef40d */
+};
+#ifdef __STDC__
+static const float pS2[5] = {
+#else
+static float pS2[5] = {
+#endif
+ 2.2220300674e+01, /* 0x41b1c32d */
+ 1.3620678711e+02, /* 0x430834f0 */
+ 2.7047027588e+02, /* 0x43873c32 */
+ 1.5387539673e+02, /* 0x4319e01a */
+ 1.4657617569e+01, /* 0x416a859a */
+};
+
+#ifdef __STDC__
+ static float pzerof(float x)
+#else
+ static float pzerof(x)
+ float x;
+#endif
+{
+#ifdef __STDC__
+ const float *p,*q;
+#else
+ float *p,*q;
+#endif
+ float z,r,s;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x41000000) {p = pR8; q= pS8;}
+ else if(ix>=0x40f71c58){p = pR5; q= pS5;}
+ else if(ix>=0x4036db68){p = pR3; q= pS3;}
+ else if(ix>=0x40000000){p = pR2; q= pS2;}
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+ return one+ r/s;
+}
+
+
+/* For x >= 8, the asymptotic expansions of qzero is
+ * -1/8 s + 75/1024 s^3 - ..., where s = 1/x.
+ * We approximate pzero by
+ * qzero(x) = s*(-1.25 + (R/S))
+ * where R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10
+ * S = 1 + qS0*s^2 + ... + qS5*s^12
+ * and
+ * | qzero(x)/s +1.25-R/S | <= 2 ** ( -61.22)
+ */
+#ifdef __STDC__
+static const float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.0000000000e+00, /* 0x00000000 */
+ 7.3242187500e-02, /* 0x3d960000 */
+ 1.1768206596e+01, /* 0x413c4a93 */
+ 5.5767340088e+02, /* 0x440b6b19 */
+ 8.8591972656e+03, /* 0x460a6cca */
+ 3.7014625000e+04, /* 0x471096a0 */
+};
+#ifdef __STDC__
+static const float qS8[6] = {
+#else
+static float qS8[6] = {
+#endif
+ 1.6377603149e+02, /* 0x4323c6aa */
+ 8.0983447266e+03, /* 0x45fd12c2 */
+ 1.4253829688e+05, /* 0x480b3293 */
+ 8.0330925000e+05, /* 0x49441ed4 */
+ 8.4050156250e+05, /* 0x494d3359 */
+ -3.4389928125e+05, /* 0xc8a7eb69 */
+};
+
+#ifdef __STDC__
+static const float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ 1.8408595828e-11, /* 0x2da1ec79 */
+ 7.3242180049e-02, /* 0x3d95ffff */
+ 5.8356351852e+00, /* 0x40babd86 */
+ 1.3511157227e+02, /* 0x43071c90 */
+ 1.0272437744e+03, /* 0x448067cd */
+ 1.9899779053e+03, /* 0x44f8bf4b */
+};
+#ifdef __STDC__
+static const float qS5[6] = {
+#else
+static float qS5[6] = {
+#endif
+ 8.2776611328e+01, /* 0x42a58da0 */
+ 2.0778142090e+03, /* 0x4501dd07 */
+ 1.8847289062e+04, /* 0x46933e94 */
+ 5.6751113281e+04, /* 0x475daf1d */
+ 3.5976753906e+04, /* 0x470c88c1 */
+ -5.3543427734e+03, /* 0xc5a752be */
+};
+
+#ifdef __STDC__
+static const float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#else
+static float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ 4.3774099900e-09, /* 0x3196681b */
+ 7.3241114616e-02, /* 0x3d95ff70 */
+ 3.3442313671e+00, /* 0x405607e3 */
+ 4.2621845245e+01, /* 0x422a7cc5 */
+ 1.7080809021e+02, /* 0x432acedf */
+ 1.6673394775e+02, /* 0x4326bbe4 */
+};
+#ifdef __STDC__
+static const float qS3[6] = {
+#else
+static float qS3[6] = {
+#endif
+ 4.8758872986e+01, /* 0x42430916 */
+ 7.0968920898e+02, /* 0x44316c1c */
+ 3.7041481934e+03, /* 0x4567825f */
+ 6.4604252930e+03, /* 0x45c9e367 */
+ 2.5163337402e+03, /* 0x451d4557 */
+ -1.4924745178e+02, /* 0xc3153f59 */
+};
+
+#ifdef __STDC__
+static const float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ 1.5044444979e-07, /* 0x342189db */
+ 7.3223426938e-02, /* 0x3d95f62a */
+ 1.9981917143e+00, /* 0x3fffc4bf */
+ 1.4495602608e+01, /* 0x4167edfd */
+ 3.1666231155e+01, /* 0x41fd5471 */
+ 1.6252708435e+01, /* 0x4182058c */
+};
+#ifdef __STDC__
+static const float qS2[6] = {
+#else
+static float qS2[6] = {
+#endif
+ 3.0365585327e+01, /* 0x41f2ecb8 */
+ 2.6934811401e+02, /* 0x4386ac8f */
+ 8.4478375244e+02, /* 0x44533229 */
+ 8.8293585205e+02, /* 0x445cbbe5 */
+ 2.1266638184e+02, /* 0x4354aa98 */
+ -5.3109550476e+00, /* 0xc0a9f358 */
+};
+
+#ifdef __STDC__
+ static float qzerof(float x)
+#else
+ static float qzerof(x)
+ float x;
+#endif
+{
+#ifdef __STDC__
+ const float *p,*q;
+#else
+ float *p,*q;
+#endif
+ float s,r,z;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x41000000) {p = qR8; q= qS8;}
+ else if(ix>=0x40f71c58){p = qR5; q= qS5;}
+ else if(ix>=0x4036db68){p = qR3; q= qS3;}
+ else if(ix>=0x40000000){p = qR2; q= qS2;}
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+ return (-(float).125 + r/s)/x;
+}
diff --git a/sysdeps/ieee754/flt-32/e_j1f.c b/sysdeps/ieee754/flt-32/e_j1f.c
new file mode 100644
index 0000000..e6f14a1
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_j1f.c
@@ -0,0 +1,444 @@
+/* e_j1f.c -- float version of e_j1.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_j1f.c,v 1.4 1995/05/10 20:45:31 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static float ponef(float), qonef(float);
+#else
+static float ponef(), qonef();
+#endif
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+huge = 1e30,
+one = 1.0,
+invsqrtpi= 5.6418961287e-01, /* 0x3f106ebb */
+tpi = 6.3661974669e-01, /* 0x3f22f983 */
+ /* R0/S0 on [0,2] */
+r00 = -6.2500000000e-02, /* 0xbd800000 */
+r01 = 1.4070566976e-03, /* 0x3ab86cfd */
+r02 = -1.5995563444e-05, /* 0xb7862e36 */
+r03 = 4.9672799207e-08, /* 0x335557d2 */
+s01 = 1.9153760746e-02, /* 0x3c9ce859 */
+s02 = 1.8594678841e-04, /* 0x3942fab6 */
+s03 = 1.1771846857e-06, /* 0x359dffc2 */
+s04 = 5.0463624390e-09, /* 0x31ad6446 */
+s05 = 1.2354227016e-11; /* 0x2d59567e */
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_j1f(float x)
+#else
+ float __ieee754_j1f(x)
+ float x;
+#endif
+{
+ float z, s,c,ss,cc,r,u,v,y;
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) return one/x;
+ y = fabsf(x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = __sinf(y);
+ c = __cosf(y);
+ ss = -s-c;
+ cc = s-c;
+ if(ix<0x7f000000) { /* make sure y+y not overflow */
+ z = __cosf(y+y);
+ if ((s*c)>zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /*
+ * j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x)
+ * y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x)
+ */
+ if(ix>0x48000000) z = (invsqrtpi*cc)/__sqrtf(y);
+ else {
+ u = ponef(y); v = qonef(y);
+ z = invsqrtpi*(u*cc-v*ss)/__sqrtf(y);
+ }
+ if(hx<0) return -z;
+ else return z;
+ }
+ if(ix<0x32000000) { /* |x|<2**-27 */
+ if(huge+x>one) return (float)0.5*x;/* inexact if x!=0 necessary */
+ }
+ z = x*x;
+ r = z*(r00+z*(r01+z*(r02+z*r03)));
+ s = one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
+ r *= x;
+ return(x*(float)0.5+r/s);
+}
+
+#ifdef __STDC__
+static const float U0[5] = {
+#else
+static float U0[5] = {
+#endif
+ -1.9605709612e-01, /* 0xbe48c331 */
+ 5.0443872809e-02, /* 0x3d4e9e3c */
+ -1.9125689287e-03, /* 0xbafaaf2a */
+ 2.3525259166e-05, /* 0x37c5581c */
+ -9.1909917899e-08, /* 0xb3c56003 */
+};
+#ifdef __STDC__
+static const float V0[5] = {
+#else
+static float V0[5] = {
+#endif
+ 1.9916731864e-02, /* 0x3ca3286a */
+ 2.0255257550e-04, /* 0x3954644b */
+ 1.3560879779e-06, /* 0x35b602d4 */
+ 6.2274145840e-09, /* 0x31d5f8eb */
+ 1.6655924903e-11, /* 0x2d9281cf */
+};
+
+#ifdef __STDC__
+ float __ieee754_y1f(float x)
+#else
+ float __ieee754_y1f(x)
+ float x;
+#endif
+{
+ float z, s,c,ss,cc,u,v;
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ /* if Y1(NaN) is NaN, Y1(-inf) is NaN, Y1(inf) is 0 */
+ if(ix>=0x7f800000) return one/(x+x*x);
+ if(ix==0) return -one/zero;
+ if(hx<0) return zero/zero;
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = __sinf(x);
+ c = __cosf(x);
+ ss = -s-c;
+ cc = s-c;
+ if(ix<0x7f000000) { /* make sure x+x not overflow */
+ z = __cosf(x+x);
+ if ((s*c)>zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /* y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x0)+q1(x)*cos(x0))
+ * where x0 = x-3pi/4
+ * Better formula:
+ * cos(x0) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = -1/sqrt(2) * (cos(x) + sin(x))
+ * To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.
+ */
+ if(ix>0x48000000) z = (invsqrtpi*ss)/__sqrtf(x);
+ else {
+ u = ponef(x); v = qonef(x);
+ z = invsqrtpi*(u*ss+v*cc)/__sqrtf(x);
+ }
+ return z;
+ }
+ if(ix<=0x24800000) { /* x < 2**-54 */
+ return(-tpi/x);
+ }
+ z = x*x;
+ u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4])));
+ v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
+ return(x*(u/v) + tpi*(__ieee754_j1f(x)*__ieee754_logf(x)-one/x));
+}
+
+/* For x >= 8, the asymptotic expansions of pone is
+ * 1 + 15/128 s^2 - 4725/2^15 s^4 - ..., where s = 1/x.
+ * We approximate pone by
+ * pone(x) = 1 + (R/S)
+ * where R = pr0 + pr1*s^2 + pr2*s^4 + ... + pr5*s^10
+ * S = 1 + ps0*s^2 + ... + ps4*s^10
+ * and
+ * | pone(x)-1-R/S | <= 2 ** ( -60.06)
+ */
+
+#ifdef __STDC__
+static const float pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static float pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.0000000000e+00, /* 0x00000000 */
+ 1.1718750000e-01, /* 0x3df00000 */
+ 1.3239480972e+01, /* 0x4153d4ea */
+ 4.1205184937e+02, /* 0x43ce06a3 */
+ 3.8747453613e+03, /* 0x45722bed */
+ 7.9144794922e+03, /* 0x45f753d6 */
+};
+#ifdef __STDC__
+static const float ps8[5] = {
+#else
+static float ps8[5] = {
+#endif
+ 1.1420736694e+02, /* 0x42e46a2c */
+ 3.6509309082e+03, /* 0x45642ee5 */
+ 3.6956207031e+04, /* 0x47105c35 */
+ 9.7602796875e+04, /* 0x47bea166 */
+ 3.0804271484e+04, /* 0x46f0a88b */
+};
+
+#ifdef __STDC__
+static const float pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static float pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ 1.3199052094e-11, /* 0x2d68333f */
+ 1.1718749255e-01, /* 0x3defffff */
+ 6.8027510643e+00, /* 0x40d9b023 */
+ 1.0830818176e+02, /* 0x42d89dca */
+ 5.1763616943e+02, /* 0x440168b7 */
+ 5.2871520996e+02, /* 0x44042dc6 */
+};
+#ifdef __STDC__
+static const float ps5[5] = {
+#else
+static float ps5[5] = {
+#endif
+ 5.9280597687e+01, /* 0x426d1f55 */
+ 9.9140142822e+02, /* 0x4477d9b1 */
+ 5.3532670898e+03, /* 0x45a74a23 */
+ 7.8446904297e+03, /* 0x45f52586 */
+ 1.5040468750e+03, /* 0x44bc0180 */
+};
+
+#ifdef __STDC__
+static const float pr3[6] = {
+#else
+static float pr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ 3.0250391081e-09, /* 0x314fe10d */
+ 1.1718686670e-01, /* 0x3defffab */
+ 3.9329774380e+00, /* 0x407bb5e7 */
+ 3.5119403839e+01, /* 0x420c7a45 */
+ 9.1055007935e+01, /* 0x42b61c2a */
+ 4.8559066772e+01, /* 0x42423c7c */
+};
+#ifdef __STDC__
+static const float ps3[5] = {
+#else
+static float ps3[5] = {
+#endif
+ 3.4791309357e+01, /* 0x420b2a4d */
+ 3.3676245117e+02, /* 0x43a86198 */
+ 1.0468714600e+03, /* 0x4482dbe3 */
+ 8.9081134033e+02, /* 0x445eb3ed */
+ 1.0378793335e+02, /* 0x42cf936c */
+};
+
+#ifdef __STDC__
+static const float pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static float pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ 1.0771083225e-07, /* 0x33e74ea8 */
+ 1.1717621982e-01, /* 0x3deffa16 */
+ 2.3685150146e+00, /* 0x401795c0 */
+ 1.2242610931e+01, /* 0x4143e1bc */
+ 1.7693971634e+01, /* 0x418d8d41 */
+ 5.0735230446e+00, /* 0x40a25a4d */
+};
+#ifdef __STDC__
+static const float ps2[5] = {
+#else
+static float ps2[5] = {
+#endif
+ 2.1436485291e+01, /* 0x41ab7dec */
+ 1.2529022980e+02, /* 0x42fa9499 */
+ 2.3227647400e+02, /* 0x436846c7 */
+ 1.1767937469e+02, /* 0x42eb5bd7 */
+ 8.3646392822e+00, /* 0x4105d590 */
+};
+
+#ifdef __STDC__
+ static float ponef(float x)
+#else
+ static float ponef(x)
+ float x;
+#endif
+{
+#ifdef __STDC__
+ const float *p,*q;
+#else
+ float *p,*q;
+#endif
+ float z,r,s;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x41000000) {p = pr8; q= ps8;}
+ else if(ix>=0x40f71c58){p = pr5; q= ps5;}
+ else if(ix>=0x4036db68){p = pr3; q= ps3;}
+ else if(ix>=0x40000000){p = pr2; q= ps2;}
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+ return one+ r/s;
+}
+
+
+/* For x >= 8, the asymptotic expansions of qone is
+ * 3/8 s - 105/1024 s^3 - ..., where s = 1/x.
+ * We approximate pone by
+ * qone(x) = s*(0.375 + (R/S))
+ * where R = qr1*s^2 + qr2*s^4 + ... + qr5*s^10
+ * S = 1 + qs1*s^2 + ... + qs6*s^12
+ * and
+ * | qone(x)/s -0.375-R/S | <= 2 ** ( -61.13)
+ */
+
+#ifdef __STDC__
+static const float qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#else
+static float qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+#endif
+ 0.0000000000e+00, /* 0x00000000 */
+ -1.0253906250e-01, /* 0xbdd20000 */
+ -1.6271753311e+01, /* 0xc1822c8d */
+ -7.5960174561e+02, /* 0xc43de683 */
+ -1.1849806641e+04, /* 0xc639273a */
+ -4.8438511719e+04, /* 0xc73d3683 */
+};
+#ifdef __STDC__
+static const float qs8[6] = {
+#else
+static float qs8[6] = {
+#endif
+ 1.6139537048e+02, /* 0x43216537 */
+ 7.8253862305e+03, /* 0x45f48b17 */
+ 1.3387534375e+05, /* 0x4802bcd6 */
+ 7.1965775000e+05, /* 0x492fb29c */
+ 6.6660125000e+05, /* 0x4922be94 */
+ -2.9449025000e+05, /* 0xc88fcb48 */
+};
+
+#ifdef __STDC__
+static const float qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#else
+static float qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+#endif
+ -2.0897993405e-11, /* 0xadb7d219 */
+ -1.0253904760e-01, /* 0xbdd1fffe */
+ -8.0564479828e+00, /* 0xc100e736 */
+ -1.8366960144e+02, /* 0xc337ab6b */
+ -1.3731937256e+03, /* 0xc4aba633 */
+ -2.6124443359e+03, /* 0xc523471c */
+};
+#ifdef __STDC__
+static const float qs5[6] = {
+#else
+static float qs5[6] = {
+#endif
+ 8.1276550293e+01, /* 0x42a28d98 */
+ 1.9917987061e+03, /* 0x44f8f98f */
+ 1.7468484375e+04, /* 0x468878f8 */
+ 4.9851425781e+04, /* 0x4742bb6d */
+ 2.7948074219e+04, /* 0x46da5826 */
+ -4.7191835938e+03, /* 0xc5937978 */
+};
+
+#ifdef __STDC__
+static const float qr3[6] = {
+#else
+static float qr3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+#endif
+ -5.0783124372e-09, /* 0xb1ae7d4f */
+ -1.0253783315e-01, /* 0xbdd1ff5b */
+ -4.6101160049e+00, /* 0xc0938612 */
+ -5.7847221375e+01, /* 0xc267638e */
+ -2.2824453735e+02, /* 0xc3643e9a */
+ -2.1921012878e+02, /* 0xc35b35cb */
+};
+#ifdef __STDC__
+static const float qs3[6] = {
+#else
+static float qs3[6] = {
+#endif
+ 4.7665153503e+01, /* 0x423ea91e */
+ 6.7386511230e+02, /* 0x4428775e */
+ 3.3801528320e+03, /* 0x45534272 */
+ 5.5477290039e+03, /* 0x45ad5dd5 */
+ 1.9031191406e+03, /* 0x44ede3d0 */
+ -1.3520118713e+02, /* 0xc3073381 */
+};
+
+#ifdef __STDC__
+static const float qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#else
+static float qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+#endif
+ -1.7838172539e-07, /* 0xb43f8932 */
+ -1.0251704603e-01, /* 0xbdd1f475 */
+ -2.7522056103e+00, /* 0xc0302423 */
+ -1.9663616180e+01, /* 0xc19d4f16 */
+ -4.2325313568e+01, /* 0xc2294d1f */
+ -2.1371921539e+01, /* 0xc1aaf9b2 */
+};
+#ifdef __STDC__
+static const float qs2[6] = {
+#else
+static float qs2[6] = {
+#endif
+ 2.9533363342e+01, /* 0x41ec4454 */
+ 2.5298155212e+02, /* 0x437cfb47 */
+ 7.5750280762e+02, /* 0x443d602e */
+ 7.3939318848e+02, /* 0x4438d92a */
+ 1.5594900513e+02, /* 0x431bf2f2 */
+ -4.9594988823e+00, /* 0xc09eb437 */
+};
+
+#ifdef __STDC__
+ static float qonef(float x)
+#else
+ static float qonef(x)
+ float x;
+#endif
+{
+#ifdef __STDC__
+ const float *p,*q;
+#else
+ float *p,*q;
+#endif
+ float s,r,z;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x40200000) {p = qr8; q= qs8;}
+ else if(ix>=0x40f71c58){p = qr5; q= qs5;}
+ else if(ix>=0x4036db68){p = qr3; q= qs3;}
+ else if(ix>=0x40000000){p = qr2; q= qs2;}
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+ return ((float).375 + r/s)/x;
+}
diff --git a/sysdeps/ieee754/flt-32/e_jnf.c b/sysdeps/ieee754/flt-32/e_jnf.c
new file mode 100644
index 0000000..9e5279c
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_jnf.c
@@ -0,0 +1,213 @@
+/* e_jnf.c -- float version of e_jn.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_jnf.c,v 1.5 1995/05/10 20:45:37 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+invsqrtpi= 5.6418961287e-01, /* 0x3f106ebb */
+two = 2.0000000000e+00, /* 0x40000000 */
+one = 1.0000000000e+00; /* 0x3F800000 */
+
+#ifdef __STDC__
+static const float zero = 0.0000000000e+00;
+#else
+static float zero = 0.0000000000e+00;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_jnf(int n, float x)
+#else
+ float __ieee754_jnf(n,x)
+ int n; float x;
+#endif
+{
+ int32_t i,hx,ix, sgn;
+ float a, b, temp, di;
+ float z, w;
+
+ /* J(-n,x) = (-1)^n * J(n, x), J(n, -x) = (-1)^n * J(n, x)
+ * Thus, J(-n,x) = J(n,-x)
+ */
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ /* if J(n,NaN) is NaN */
+ if(ix>0x7f800000) return x+x;
+ if(n<0){
+ n = -n;
+ x = -x;
+ hx ^= 0x80000000;
+ }
+ if(n==0) return(__ieee754_j0f(x));
+ if(n==1) return(__ieee754_j1f(x));
+ sgn = (n&1)&(hx>>31); /* even n -- 0, odd n -- sign(x) */
+ x = fabsf(x);
+ if(ix==0||ix>=0x7f800000) /* if x is 0 or inf */
+ b = zero;
+ else if((float)n<=x) {
+ /* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */
+ a = __ieee754_j0f(x);
+ b = __ieee754_j1f(x);
+ for(i=1;i<n;i++){
+ temp = b;
+ b = b*((float)(i+i)/x) - a; /* avoid underflow */
+ a = temp;
+ }
+ } else {
+ if(ix<0x30800000) { /* x < 2**-29 */
+ /* x is tiny, return the first Taylor expansion of J(n,x)
+ * J(n,x) = 1/n!*(x/2)^n - ...
+ */
+ if(n>33) /* underflow */
+ b = zero;
+ else {
+ temp = x*(float)0.5; b = temp;
+ for (a=one,i=2;i<=n;i++) {
+ a *= (float)i; /* a = n! */
+ b *= temp; /* b = (x/2)^n */
+ }
+ b = b/a;
+ }
+ } else {
+ /* use backward recurrence */
+ /* x x^2 x^2
+ * J(n,x)/J(n-1,x) = ---- ------ ------ .....
+ * 2n - 2(n+1) - 2(n+2)
+ *
+ * 1 1 1
+ * (for large x) = ---- ------ ------ .....
+ * 2n 2(n+1) 2(n+2)
+ * -- - ------ - ------ -
+ * x x x
+ *
+ * Let w = 2n/x and h=2/x, then the above quotient
+ * is equal to the continued fraction:
+ * 1
+ * = -----------------------
+ * 1
+ * w - -----------------
+ * 1
+ * w+h - ---------
+ * w+2h - ...
+ *
+ * To determine how many terms needed, let
+ * Q(0) = w, Q(1) = w(w+h) - 1,
+ * Q(k) = (w+k*h)*Q(k-1) - Q(k-2),
+ * When Q(k) > 1e4 good for single
+ * When Q(k) > 1e9 good for double
+ * When Q(k) > 1e17 good for quadruple
+ */
+ /* determine k */
+ float t,v;
+ float q0,q1,h,tmp; int32_t k,m;
+ w = (n+n)/(float)x; h = (float)2.0/(float)x;
+ q0 = w; z = w+h; q1 = w*z - (float)1.0; k=1;
+ while(q1<(float)1.0e9) {
+ k += 1; z += h;
+ tmp = z*q1 - q0;
+ q0 = q1;
+ q1 = tmp;
+ }
+ m = n+n;
+ for(t=zero, i = 2*(n+k); i>=m; i -= 2) t = one/(i/x-t);
+ a = t;
+ b = one;
+ /* estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n)
+ * Hence, if n*(log(2n/x)) > ...
+ * single 8.8722839355e+01
+ * double 7.09782712893383973096e+02
+ * long double 1.1356523406294143949491931077970765006170e+04
+ * then recurrent value may overflow and the result is
+ * likely underflow to zero
+ */
+ tmp = n;
+ v = two/x;
+ tmp = tmp*__ieee754_logf(fabsf(v*tmp));
+ if(tmp<(float)8.8721679688e+01) {
+ for(i=n-1,di=(float)(i+i);i>0;i--){
+ temp = b;
+ b *= di;
+ b = b/x - a;
+ a = temp;
+ di -= two;
+ }
+ } else {
+ for(i=n-1,di=(float)(i+i);i>0;i--){
+ temp = b;
+ b *= di;
+ b = b/x - a;
+ a = temp;
+ di -= two;
+ /* scale b to avoid spurious overflow */
+ if(b>(float)1e10) {
+ a /= b;
+ t /= b;
+ b = one;
+ }
+ }
+ }
+ b = (t*__ieee754_j0f(x)/b);
+ }
+ }
+ if(sgn==1) return -b; else return b;
+}
+
+#ifdef __STDC__
+ float __ieee754_ynf(int n, float x)
+#else
+ float __ieee754_ynf(n,x)
+ int n; float x;
+#endif
+{
+ int32_t i,hx,ix;
+ u_int32_t ib;
+ int32_t sign;
+ float a, b, temp;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ /* if Y(n,NaN) is NaN */
+ if(ix>0x7f800000) return x+x;
+ if(ix==0) return -one/zero;
+ if(hx<0) return zero/zero;
+ sign = 1;
+ if(n<0){
+ n = -n;
+ sign = 1 - ((n&1)<<1);
+ }
+ if(n==0) return(__ieee754_y0f(x));
+ if(n==1) return(sign*__ieee754_y1f(x));
+ if(ix==0x7f800000) return zero;
+
+ a = __ieee754_y0f(x);
+ b = __ieee754_y1f(x);
+ /* quit if b is -inf */
+ GET_FLOAT_WORD(ib,b);
+ for(i=1;i<n&&ib!=0xff800000;i++){
+ temp = b;
+ b = ((float)(i+i)/x)*b - a;
+ GET_FLOAT_WORD(ib,b);
+ a = temp;
+ }
+ if(sign>0) return b; else return -b;
+}
diff --git a/sysdeps/ieee754/flt-32/e_lgammaf_r.c b/sysdeps/ieee754/flt-32/e_lgammaf_r.c
new file mode 100644
index 0000000..f744d53
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_lgammaf_r.c
@@ -0,0 +1,250 @@
+/* e_lgammaf_r.c -- float version of e_lgamma_r.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_lgammaf_r.c,v 1.3 1995/05/10 20:45:47 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+two23= 8.3886080000e+06, /* 0x4b000000 */
+half= 5.0000000000e-01, /* 0x3f000000 */
+one = 1.0000000000e+00, /* 0x3f800000 */
+pi = 3.1415927410e+00, /* 0x40490fdb */
+a0 = 7.7215664089e-02, /* 0x3d9e233f */
+a1 = 3.2246702909e-01, /* 0x3ea51a66 */
+a2 = 6.7352302372e-02, /* 0x3d89f001 */
+a3 = 2.0580807701e-02, /* 0x3ca89915 */
+a4 = 7.3855509982e-03, /* 0x3bf2027e */
+a5 = 2.8905137442e-03, /* 0x3b3d6ec6 */
+a6 = 1.1927076848e-03, /* 0x3a9c54a1 */
+a7 = 5.1006977446e-04, /* 0x3a05b634 */
+a8 = 2.2086278477e-04, /* 0x39679767 */
+a9 = 1.0801156895e-04, /* 0x38e28445 */
+a10 = 2.5214456400e-05, /* 0x37d383a2 */
+a11 = 4.4864096708e-05, /* 0x383c2c75 */
+tc = 1.4616321325e+00, /* 0x3fbb16c3 */
+tf = -1.2148628384e-01, /* 0xbdf8cdcd */
+/* tt = -(tail of tf) */
+tt = 6.6971006518e-09, /* 0x31e61c52 */
+t0 = 4.8383611441e-01, /* 0x3ef7b95e */
+t1 = -1.4758771658e-01, /* 0xbe17213c */
+t2 = 6.4624942839e-02, /* 0x3d845a15 */
+t3 = -3.2788541168e-02, /* 0xbd064d47 */
+t4 = 1.7970675603e-02, /* 0x3c93373d */
+t5 = -1.0314224288e-02, /* 0xbc28fcfe */
+t6 = 6.1005386524e-03, /* 0x3bc7e707 */
+t7 = -3.6845202558e-03, /* 0xbb7177fe */
+t8 = 2.2596477065e-03, /* 0x3b141699 */
+t9 = -1.4034647029e-03, /* 0xbab7f476 */
+t10 = 8.8108185446e-04, /* 0x3a66f867 */
+t11 = -5.3859531181e-04, /* 0xba0d3085 */
+t12 = 3.1563205994e-04, /* 0x39a57b6b */
+t13 = -3.1275415677e-04, /* 0xb9a3f927 */
+t14 = 3.3552918467e-04, /* 0x39afe9f7 */
+u0 = -7.7215664089e-02, /* 0xbd9e233f */
+u1 = 6.3282704353e-01, /* 0x3f2200f4 */
+u2 = 1.4549225569e+00, /* 0x3fba3ae7 */
+u3 = 9.7771751881e-01, /* 0x3f7a4bb2 */
+u4 = 2.2896373272e-01, /* 0x3e6a7578 */
+u5 = 1.3381091878e-02, /* 0x3c5b3c5e */
+v1 = 2.4559779167e+00, /* 0x401d2ebe */
+v2 = 2.1284897327e+00, /* 0x4008392d */
+v3 = 7.6928514242e-01, /* 0x3f44efdf */
+v4 = 1.0422264785e-01, /* 0x3dd572af */
+v5 = 3.2170924824e-03, /* 0x3b52d5db */
+s0 = -7.7215664089e-02, /* 0xbd9e233f */
+s1 = 2.1498242021e-01, /* 0x3e5c245a */
+s2 = 3.2577878237e-01, /* 0x3ea6cc7a */
+s3 = 1.4635047317e-01, /* 0x3e15dce6 */
+s4 = 2.6642270386e-02, /* 0x3cda40e4 */
+s5 = 1.8402845599e-03, /* 0x3af135b4 */
+s6 = 3.1947532989e-05, /* 0x3805ff67 */
+r1 = 1.3920053244e+00, /* 0x3fb22d3b */
+r2 = 7.2193557024e-01, /* 0x3f38d0c5 */
+r3 = 1.7193385959e-01, /* 0x3e300f6e */
+r4 = 1.8645919859e-02, /* 0x3c98bf54 */
+r5 = 7.7794247773e-04, /* 0x3a4beed6 */
+r6 = 7.3266842264e-06, /* 0x36f5d7bd */
+w0 = 4.1893854737e-01, /* 0x3ed67f1d */
+w1 = 8.3333335817e-02, /* 0x3daaaaab */
+w2 = -2.7777778450e-03, /* 0xbb360b61 */
+w3 = 7.9365057172e-04, /* 0x3a500cfd */
+w4 = -5.9518753551e-04, /* 0xba1c065c */
+w5 = 8.3633989561e-04, /* 0x3a5b3dd2 */
+w6 = -1.6309292987e-03; /* 0xbad5c4e8 */
+
+#ifdef __STDC__
+static const float zero= 0.0000000000e+00;
+#else
+static float zero= 0.0000000000e+00;
+#endif
+
+#ifdef __STDC__
+ static float sin_pif(float x)
+#else
+ static float sin_pif(x)
+ float x;
+#endif
+{
+ float y,z;
+ int n,ix;
+
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+
+ if(ix<0x3e800000) return __kernel_sinf(pi*x,zero,0);
+ y = -x; /* x is assume negative */
+
+ /*
+ * argument reduction, make sure inexact flag not raised if input
+ * is an integer
+ */
+ z = __floorf(y);
+ if(z!=y) { /* inexact anyway */
+ y *= (float)0.5;
+ y = (float)2.0*(y - __floorf(y)); /* y = |x| mod 2.0 */
+ n = (int) (y*(float)4.0);
+ } else {
+ if(ix>=0x4b800000) {
+ y = zero; n = 0; /* y must be even */
+ } else {
+ if(ix<0x4b000000) z = y+two23; /* exact */
+ GET_FLOAT_WORD(n,z);
+ n &= 1;
+ y = n;
+ n<<= 2;
+ }
+ }
+ switch (n) {
+ case 0: y = __kernel_sinf(pi*y,zero,0); break;
+ case 1:
+ case 2: y = __kernel_cosf(pi*((float)0.5-y),zero); break;
+ case 3:
+ case 4: y = __kernel_sinf(pi*(one-y),zero,0); break;
+ case 5:
+ case 6: y = -__kernel_cosf(pi*(y-(float)1.5),zero); break;
+ default: y = __kernel_sinf(pi*(y-(float)2.0),zero,0); break;
+ }
+ return -y;
+}
+
+
+#ifdef __STDC__
+ float __ieee754_lgammaf_r(float x, int *signgamp)
+#else
+ float __ieee754_lgammaf_r(x,signgamp)
+ float x; int *signgamp;
+#endif
+{
+ float t,y,z,nadj,p,p1,p2,p3,q,r,w;
+ int i,hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+
+ /* purge off +-inf, NaN, +-0, and negative arguments */
+ *signgamp = 1;
+ if ((unsigned int)hx==0xff800000)
+ return x-x;
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) return x*x;
+ if(ix==0) return one/fabsf(x);
+ if(ix<0x1c800000) { /* |x|<2**-70, return -log(|x|) */
+ if(hx<0) {
+ *signgamp = -1;
+ return -__ieee754_logf(-x);
+ } else return -__ieee754_logf(x);
+ }
+ if(hx<0) {
+ if(ix>=0x4b000000) /* |x|>=2**23, must be -integer */
+ return x/zero;
+ t = sin_pif(x);
+ if(t==zero) return one/fabsf(t); /* -integer */
+ nadj = __ieee754_logf(pi/fabsf(t*x));
+ if(t<zero) *signgamp = -1;
+ x = -x;
+ }
+
+ /* purge off 1 and 2 */
+ if (ix==0x3f800000||ix==0x40000000) r = 0;
+ /* for x < 2.0 */
+ else if(ix<0x40000000) {
+ if(ix<=0x3f666666) { /* lgamma(x) = lgamma(x+1)-log(x) */
+ r = -__ieee754_logf(x);
+ if(ix>=0x3f3b4a20) {y = one-x; i= 0;}
+ else if(ix>=0x3e6d3308) {y= x-(tc-one); i=1;}
+ else {y = x; i=2;}
+ } else {
+ r = zero;
+ if(ix>=0x3fdda618) {y=(float)2.0-x;i=0;} /* [1.7316,2] */
+ else if(ix>=0x3F9da620) {y=x-tc;i=1;} /* [1.23,1.73] */
+ else {y=x-one;i=2;}
+ }
+ switch(i) {
+ case 0:
+ z = y*y;
+ p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10))));
+ p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11)))));
+ p = y*p1+p2;
+ r += (p-(float)0.5*y); break;
+ case 1:
+ z = y*y;
+ w = z*y;
+ p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12))); /* parallel comp */
+ p2 = t1+w*(t4+w*(t7+w*(t10+w*t13)));
+ p3 = t2+w*(t5+w*(t8+w*(t11+w*t14)));
+ p = z*p1-(tt-w*(p2+y*p3));
+ r += (tf + p); break;
+ case 2:
+ p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
+ p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
+ r += (-(float)0.5*y + p1/p2);
+ }
+ }
+ else if(ix<0x41000000) { /* x < 8.0 */
+ i = (int)x;
+ t = zero;
+ y = x-(float)i;
+ p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
+ q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
+ r = half*y+p/q;
+ z = one; /* lgamma(1+s) = log(s) + lgamma(s) */
+ switch(i) {
+ case 7: z *= (y+(float)6.0); /* FALLTHRU */
+ case 6: z *= (y+(float)5.0); /* FALLTHRU */
+ case 5: z *= (y+(float)4.0); /* FALLTHRU */
+ case 4: z *= (y+(float)3.0); /* FALLTHRU */
+ case 3: z *= (y+(float)2.0); /* FALLTHRU */
+ r += __ieee754_logf(z); break;
+ }
+ /* 8.0 <= x < 2**58 */
+ } else if (ix < 0x5c800000) {
+ t = __ieee754_logf(x);
+ z = one/x;
+ y = z*z;
+ w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
+ r = (x-half)*(t-one)+w;
+ } else
+ /* 2**58 <= x <= inf */
+ r = x*(__ieee754_logf(x)-one);
+ if(hx<0) r = nadj - r;
+ return r;
+}
diff --git a/sysdeps/ieee754/flt-32/e_log10f.c b/sysdeps/ieee754/flt-32/e_log10f.c
new file mode 100644
index 0000000..cea3d91
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_log10f.c
@@ -0,0 +1,67 @@
+/* e_log10f.c -- float version of e_log10.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_log10f.c,v 1.5 1995/05/10 20:45:53 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+two25 = 3.3554432000e+07, /* 0x4c000000 */
+ivln10 = 4.3429449201e-01, /* 0x3ede5bd9 */
+log10_2hi = 3.0102920532e-01, /* 0x3e9a2080 */
+log10_2lo = 7.9034151668e-07; /* 0x355427db */
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_log10f(float x)
+#else
+ float __ieee754_log10f(x)
+ float x;
+#endif
+{
+ float y,z;
+ int32_t i,k,hx;
+
+ GET_FLOAT_WORD(hx,x);
+
+ k=0;
+ if (hx < 0x00800000) { /* x < 2**-126 */
+ if ((hx&0x7fffffff)==0)
+ return -two25/(x-x); /* log(+-0)=-inf */
+ if (hx<0) return (x-x)/(x-x); /* log(-#) = NaN */
+ k -= 25; x *= two25; /* subnormal number, scale up x */
+ GET_FLOAT_WORD(hx,x);
+ }
+ if (hx >= 0x7f800000) return x+x;
+ k += (hx>>23)-127;
+ i = ((u_int32_t)k&0x80000000)>>31;
+ hx = (hx&0x007fffff)|((0x7f-i)<<23);
+ y = (float)(k+i);
+ SET_FLOAT_WORD(x,hx);
+ z = y*log10_2lo + ivln10*__ieee754_logf(x);
+ return z+y*log10_2hi;
+}
diff --git a/sysdeps/ieee754/flt-32/e_logf.c b/sysdeps/ieee754/flt-32/e_logf.c
new file mode 100644
index 0000000..de8f869
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_logf.c
@@ -0,0 +1,99 @@
+/* e_logf.c -- float version of e_log.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_logf.c,v 1.4 1995/05/10 20:45:54 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
+ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
+two25 = 3.355443200e+07, /* 0x4c000000 */
+Lg1 = 6.6666668653e-01, /* 3F2AAAAB */
+Lg2 = 4.0000000596e-01, /* 3ECCCCCD */
+Lg3 = 2.8571429849e-01, /* 3E924925 */
+Lg4 = 2.2222198546e-01, /* 3E638E29 */
+Lg5 = 1.8183572590e-01, /* 3E3A3325 */
+Lg6 = 1.5313838422e-01, /* 3E1CD04F */
+Lg7 = 1.4798198640e-01; /* 3E178897 */
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_logf(float x)
+#else
+ float __ieee754_logf(x)
+ float x;
+#endif
+{
+ float hfsq,f,s,z,R,w,t1,t2,dk;
+ int32_t k,ix,i,j;
+
+ GET_FLOAT_WORD(ix,x);
+
+ k=0;
+ if (ix < 0x00800000) { /* x < 2**-126 */
+ if ((ix&0x7fffffff)==0)
+ return -two25/(x-x); /* log(+-0)=-inf */
+ if (ix<0) return (x-x)/(x-x); /* log(-#) = NaN */
+ k -= 25; x *= two25; /* subnormal number, scale up x */
+ GET_FLOAT_WORD(ix,x);
+ }
+ if (ix >= 0x7f800000) return x+x;
+ k += (ix>>23)-127;
+ ix &= 0x007fffff;
+ i = (ix+(0x95f64<<3))&0x800000;
+ SET_FLOAT_WORD(x,ix|(i^0x3f800000)); /* normalize x or x/2 */
+ k += (i>>23);
+ f = x-(float)1.0;
+ if((0x007fffff&(15+ix))<16) { /* |f| < 2**-20 */
+ if(f==zero) {
+ if(k==0) return zero; else {dk=(float)k;
+ return dk*ln2_hi+dk*ln2_lo;}
+ }
+ R = f*f*((float)0.5-(float)0.33333333333333333*f);
+ if(k==0) return f-R; else {dk=(float)k;
+ return dk*ln2_hi-((R-dk*ln2_lo)-f);}
+ }
+ s = f/((float)2.0+f);
+ dk = (float)k;
+ z = s*s;
+ i = ix-(0x6147a<<3);
+ w = z*z;
+ j = (0x6b851<<3)-ix;
+ t1= w*(Lg2+w*(Lg4+w*Lg6));
+ t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7)));
+ i |= j;
+ R = t2+t1;
+ if(i>0) {
+ hfsq=(float)0.5*f*f;
+ if(k==0) return f-(hfsq-s*(hfsq+R)); else
+ return dk*ln2_hi-((hfsq-(s*(hfsq+R)+dk*ln2_lo))-f);
+ } else {
+ if(k==0) return f-s*(f-R); else
+ return dk*ln2_hi-((s*(f-R)-dk*ln2_lo)-f);
+ }
+}
diff --git a/sysdeps/ieee754/flt-32/e_powf.c b/sysdeps/ieee754/flt-32/e_powf.c
new file mode 100644
index 0000000..4798340
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_powf.c
@@ -0,0 +1,253 @@
+/* e_powf.c -- float version of e_pow.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_powf.c,v 1.7 1996/04/08 15:43:44 phil Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+static const float huge = 1.0e+30, tiny = 1.0e-30;
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+bp[] = {1.0, 1.5,},
+dp_h[] = { 0.0, 5.84960938e-01,}, /* 0x3f15c000 */
+dp_l[] = { 0.0, 1.56322085e-06,}, /* 0x35d1cfdc */
+zero = 0.0,
+one = 1.0,
+two = 2.0,
+two24 = 16777216.0, /* 0x4b800000 */
+ /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
+L1 = 6.0000002384e-01, /* 0x3f19999a */
+L2 = 4.2857143283e-01, /* 0x3edb6db7 */
+L3 = 3.3333334327e-01, /* 0x3eaaaaab */
+L4 = 2.7272811532e-01, /* 0x3e8ba305 */
+L5 = 2.3066075146e-01, /* 0x3e6c3255 */
+L6 = 2.0697501302e-01, /* 0x3e53f142 */
+P1 = 1.6666667163e-01, /* 0x3e2aaaab */
+P2 = -2.7777778450e-03, /* 0xbb360b61 */
+P3 = 6.6137559770e-05, /* 0x388ab355 */
+P4 = -1.6533901999e-06, /* 0xb5ddea0e */
+P5 = 4.1381369442e-08, /* 0x3331bb4c */
+lg2 = 6.9314718246e-01, /* 0x3f317218 */
+lg2_h = 6.93145752e-01, /* 0x3f317200 */
+lg2_l = 1.42860654e-06, /* 0x35bfbe8c */
+ovt = 4.2995665694e-08, /* -(128-log2(ovfl+.5ulp)) */
+cp = 9.6179670095e-01, /* 0x3f76384f =2/(3ln2) */
+cp_h = 9.6179199219e-01, /* 0x3f763800 =head of cp */
+cp_l = 4.7017383622e-06, /* 0x369dc3a0 =tail of cp_h */
+ivln2 = 1.4426950216e+00, /* 0x3fb8aa3b =1/ln2 */
+ivln2_h = 1.4426879883e+00, /* 0x3fb8aa00 =16b 1/ln2*/
+ivln2_l = 7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/
+
+#ifdef __STDC__
+ float __ieee754_powf(float x, float y)
+#else
+ float __ieee754_powf(x,y)
+ float x, y;
+#endif
+{
+ float z,ax,z_h,z_l,p_h,p_l;
+ float y1,t1,t2,r,s,t,u,v,w;
+ int32_t i,j,k,yisint,n;
+ int32_t hx,hy,ix,iy,is;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hy,y);
+ ix = hx&0x7fffffff; iy = hy&0x7fffffff;
+
+ /* y==zero: x**0 = 1 */
+ if(iy==0) return one;
+
+ /* +-NaN return x+y */
+ if(ix > 0x7f800000 ||
+ iy > 0x7f800000)
+ return x+y;
+
+ /* determine if y is an odd int when x < 0
+ * yisint = 0 ... y is not an integer
+ * yisint = 1 ... y is an odd int
+ * yisint = 2 ... y is an even int
+ */
+ yisint = 0;
+ if(hx<0) {
+ if(iy>=0x4b800000) yisint = 2; /* even integer y */
+ else if(iy>=0x3f800000) {
+ k = (iy>>23)-0x7f; /* exponent */
+ j = iy>>(23-k);
+ if((j<<(23-k))==iy) yisint = 2-(j&1);
+ }
+ }
+
+ /* special value of y */
+ if (iy==0x7f800000) { /* y is +-inf */
+ if (ix==0x3f800000)
+ return y - y; /* inf**+-1 is NaN */
+ else if (ix > 0x3f800000)/* (|x|>1)**+-inf = inf,0 */
+ return (hy>=0)? y: zero;
+ else /* (|x|<1)**-,+inf = inf,0 */
+ return (hy<0)?-y: zero;
+ }
+ if(iy==0x3f800000) { /* y is +-1 */
+ if(hy<0) return one/x; else return x;
+ }
+ if(hy==0x40000000) return x*x; /* y is 2 */
+ if(hy==0x3f000000) { /* y is 0.5 */
+ if(hx>=0) /* x >= +0 */
+ return __ieee754_sqrtf(x);
+ }
+
+ ax = fabsf(x);
+ /* special value of x */
+ if(ix==0x7f800000||ix==0||ix==0x3f800000){
+ z = ax; /*x is +-0,+-inf,+-1*/
+ if(hy<0) z = one/z; /* z = (1/|x|) */
+ if(hx<0) {
+ if(((ix-0x3f800000)|yisint)==0) {
+ z = (z-z)/(z-z); /* (-1)**non-int is NaN */
+ } else if(yisint==1)
+ z = -z; /* (x<0)**odd = -(|x|**odd) */
+ }
+ return z;
+ }
+
+ /* (x<0)**(non-int) is NaN */
+ if(((((u_int32_t)hx>>31)-1)|yisint)==0) return (x-x)/(x-x);
+
+ /* |y| is huge */
+ if(iy>0x4d000000) { /* if |y| > 2**27 */
+ /* over/underflow if x is not close to one */
+ if(ix<0x3f7ffff8) return (hy<0)? huge*huge:tiny*tiny;
+ if(ix>0x3f800007) return (hy>0)? huge*huge:tiny*tiny;
+ /* now |1-x| is tiny <= 2**-20, suffice to compute
+ log(x) by x-x^2/2+x^3/3-x^4/4 */
+ t = x-1; /* t has 20 trailing zeros */
+ w = (t*t)*((float)0.5-t*((float)0.333333333333-t*(float)0.25));
+ u = ivln2_h*t; /* ivln2_h has 16 sig. bits */
+ v = t*ivln2_l-w*ivln2;
+ t1 = u+v;
+ GET_FLOAT_WORD(is,t1);
+ SET_FLOAT_WORD(t1,is&0xfffff000);
+ t2 = v-(t1-u);
+ } else {
+ float s2,s_h,s_l,t_h,t_l;
+ n = 0;
+ /* take care subnormal number */
+ if(ix<0x00800000)
+ {ax *= two24; n -= 24; GET_FLOAT_WORD(ix,ax); }
+ n += ((ix)>>23)-0x7f;
+ j = ix&0x007fffff;
+ /* determine interval */
+ ix = j|0x3f800000; /* normalize ix */
+ if(j<=0x1cc471) k=0; /* |x|<sqrt(3/2) */
+ else if(j<0x5db3d7) k=1; /* |x|<sqrt(3) */
+ else {k=0;n+=1;ix -= 0x00800000;}
+ SET_FLOAT_WORD(ax,ix);
+
+ /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
+ u = ax-bp[k]; /* bp[0]=1.0, bp[1]=1.5 */
+ v = one/(ax+bp[k]);
+ s = u*v;
+ s_h = s;
+ GET_FLOAT_WORD(is,s_h);
+ SET_FLOAT_WORD(s_h,is&0xfffff000);
+ /* t_h=ax+bp[k] High */
+ SET_FLOAT_WORD(t_h,((ix>>1)|0x20000000)+0x0040000+(k<<21));
+ t_l = ax - (t_h-bp[k]);
+ s_l = v*((u-s_h*t_h)-s_h*t_l);
+ /* compute log(ax) */
+ s2 = s*s;
+ r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
+ r += s_l*(s_h+s);
+ s2 = s_h*s_h;
+ t_h = (float)3.0+s2+r;
+ GET_FLOAT_WORD(is,t_h);
+ SET_FLOAT_WORD(t_h,is&0xfffff000);
+ t_l = r-((t_h-(float)3.0)-s2);
+ /* u+v = s*(1+...) */
+ u = s_h*t_h;
+ v = s_l*t_h+t_l*s;
+ /* 2/(3log2)*(s+...) */
+ p_h = u+v;
+ GET_FLOAT_WORD(is,p_h);
+ SET_FLOAT_WORD(p_h,is&0xfffff000);
+ p_l = v-(p_h-u);
+ z_h = cp_h*p_h; /* cp_h+cp_l = 2/(3*log2) */
+ z_l = cp_l*p_h+p_l*cp+dp_l[k];
+ /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
+ t = (float)n;
+ t1 = (((z_h+z_l)+dp_h[k])+t);
+ GET_FLOAT_WORD(is,t1);
+ SET_FLOAT_WORD(t1,is&0xfffff000);
+ t2 = z_l-(((t1-t)-dp_h[k])-z_h);
+ }
+
+ s = one; /* s (sign of result -ve**odd) = -1 else = 1 */
+ if(((((u_int32_t)hx>>31)-1)|(yisint-1))==0)
+ s = -one; /* (-ve)**(odd int) */
+
+ /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
+ GET_FLOAT_WORD(is,y);
+ SET_FLOAT_WORD(y1,is&0xfffff000);
+ p_l = (y-y1)*t1+y*t2;
+ p_h = y1*t1;
+ z = p_l+p_h;
+ GET_FLOAT_WORD(j,z);
+ if (j>0x43000000) /* if z > 128 */
+ return s*huge*huge; /* overflow */
+ else if (j==0x43000000) { /* if z == 128 */
+ if(p_l+ovt>z-p_h) return s*huge*huge; /* overflow */
+ }
+ else if ((j&0x7fffffff)>0x43160000) /* z <= -150 */
+ return s*tiny*tiny; /* underflow */
+ else if ((u_int32_t) j==0xc3160000){ /* z == -150 */
+ if(p_l<=z-p_h) return s*tiny*tiny; /* underflow */
+ }
+ /*
+ * compute 2**(p_h+p_l)
+ */
+ i = j&0x7fffffff;
+ k = (i>>23)-0x7f;
+ n = 0;
+ if(i>0x3f000000) { /* if |z| > 0.5, set n = [z+0.5] */
+ n = j+(0x00800000>>(k+1));
+ k = ((n&0x7fffffff)>>23)-0x7f; /* new k for n */
+ SET_FLOAT_WORD(t,n&~(0x007fffff>>k));
+ n = ((n&0x007fffff)|0x00800000)>>(23-k);
+ if(j<0) n = -n;
+ p_h -= t;
+ }
+ t = p_l+p_h;
+ GET_FLOAT_WORD(is,t);
+ SET_FLOAT_WORD(t,is&0xfffff000);
+ u = t*lg2_h;
+ v = (p_l-(t-p_h))*lg2+t*lg2_l;
+ z = u+v;
+ w = v-(z-u);
+ t = z*z;
+ t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
+ r = (z*t1)/(t1-two)-(w+z*w);
+ z = one-(r-z);
+ GET_FLOAT_WORD(j,z);
+ j += (n<<23);
+ if((j>>23)<=0) z = __scalbnf(z,n); /* subnormal output */
+ else SET_FLOAT_WORD(z,j);
+ return s*z;
+}
diff --git a/sysdeps/ieee754/flt-32/e_rem_pio2f.c b/sysdeps/ieee754/flt-32/e_rem_pio2f.c
new file mode 100644
index 0000000..4b8c446
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_rem_pio2f.c
@@ -0,0 +1,196 @@
+/* e_rem_pio2f.c -- float version of e_rem_pio2.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_rem_pio2f.c,v 1.5 1995/05/10 20:46:03 jtc Exp $";
+#endif
+
+/* __ieee754_rem_pio2f(x,y)
+ *
+ * return the remainder of x rem pi/2 in y[0]+y[1]
+ * use __kernel_rem_pio2f()
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi
+ */
+#ifdef __STDC__
+static const int32_t two_over_pi[] = {
+#else
+static int32_t two_over_pi[] = {
+#endif
+0xA2, 0xF9, 0x83, 0x6E, 0x4E, 0x44, 0x15, 0x29, 0xFC,
+0x27, 0x57, 0xD1, 0xF5, 0x34, 0xDD, 0xC0, 0xDB, 0x62,
+0x95, 0x99, 0x3C, 0x43, 0x90, 0x41, 0xFE, 0x51, 0x63,
+0xAB, 0xDE, 0xBB, 0xC5, 0x61, 0xB7, 0x24, 0x6E, 0x3A,
+0x42, 0x4D, 0xD2, 0xE0, 0x06, 0x49, 0x2E, 0xEA, 0x09,
+0xD1, 0x92, 0x1C, 0xFE, 0x1D, 0xEB, 0x1C, 0xB1, 0x29,
+0xA7, 0x3E, 0xE8, 0x82, 0x35, 0xF5, 0x2E, 0xBB, 0x44,
+0x84, 0xE9, 0x9C, 0x70, 0x26, 0xB4, 0x5F, 0x7E, 0x41,
+0x39, 0x91, 0xD6, 0x39, 0x83, 0x53, 0x39, 0xF4, 0x9C,
+0x84, 0x5F, 0x8B, 0xBD, 0xF9, 0x28, 0x3B, 0x1F, 0xF8,
+0x97, 0xFF, 0xDE, 0x05, 0x98, 0x0F, 0xEF, 0x2F, 0x11,
+0x8B, 0x5A, 0x0A, 0x6D, 0x1F, 0x6D, 0x36, 0x7E, 0xCF,
+0x27, 0xCB, 0x09, 0xB7, 0x4F, 0x46, 0x3F, 0x66, 0x9E,
+0x5F, 0xEA, 0x2D, 0x75, 0x27, 0xBA, 0xC7, 0xEB, 0xE5,
+0xF1, 0x7B, 0x3D, 0x07, 0x39, 0xF7, 0x8A, 0x52, 0x92,
+0xEA, 0x6B, 0xFB, 0x5F, 0xB1, 0x1F, 0x8D, 0x5D, 0x08,
+0x56, 0x03, 0x30, 0x46, 0xFC, 0x7B, 0x6B, 0xAB, 0xF0,
+0xCF, 0xBC, 0x20, 0x9A, 0xF4, 0x36, 0x1D, 0xA9, 0xE3,
+0x91, 0x61, 0x5E, 0xE6, 0x1B, 0x08, 0x65, 0x99, 0x85,
+0x5F, 0x14, 0xA0, 0x68, 0x40, 0x8D, 0xFF, 0xD8, 0x80,
+0x4D, 0x73, 0x27, 0x31, 0x06, 0x06, 0x15, 0x56, 0xCA,
+0x73, 0xA8, 0xC9, 0x60, 0xE2, 0x7B, 0xC0, 0x8C, 0x6B,
+};
+
+/* This array is like the one in e_rem_pio2.c, but the numbers are
+ single precision and the last 8 bits are forced to 0. */
+#ifdef __STDC__
+static const int32_t npio2_hw[] = {
+#else
+static int32_t npio2_hw[] = {
+#endif
+0x3fc90f00, 0x40490f00, 0x4096cb00, 0x40c90f00, 0x40fb5300, 0x4116cb00,
+0x412fed00, 0x41490f00, 0x41623100, 0x417b5300, 0x418a3a00, 0x4196cb00,
+0x41a35c00, 0x41afed00, 0x41bc7e00, 0x41c90f00, 0x41d5a000, 0x41e23100,
+0x41eec200, 0x41fb5300, 0x4203f200, 0x420a3a00, 0x42108300, 0x4216cb00,
+0x421d1400, 0x42235c00, 0x4229a500, 0x422fed00, 0x42363600, 0x423c7e00,
+0x4242c700, 0x42490f00
+};
+
+/*
+ * invpio2: 24 bits of 2/pi
+ * pio2_1: first 17 bit of pi/2
+ * pio2_1t: pi/2 - pio2_1
+ * pio2_2: second 17 bit of pi/2
+ * pio2_2t: pi/2 - (pio2_1+pio2_2)
+ * pio2_3: third 17 bit of pi/2
+ * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3)
+ */
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+zero = 0.0000000000e+00, /* 0x00000000 */
+half = 5.0000000000e-01, /* 0x3f000000 */
+two8 = 2.5600000000e+02, /* 0x43800000 */
+invpio2 = 6.3661980629e-01, /* 0x3f22f984 */
+pio2_1 = 1.5707855225e+00, /* 0x3fc90f80 */
+pio2_1t = 1.0804334124e-05, /* 0x37354443 */
+pio2_2 = 1.0804273188e-05, /* 0x37354400 */
+pio2_2t = 6.0770999344e-11, /* 0x2e85a308 */
+pio2_3 = 6.0770943833e-11, /* 0x2e85a300 */
+pio2_3t = 6.1232342629e-17; /* 0x248d3132 */
+
+#ifdef __STDC__
+ int32_t __ieee754_rem_pio2f(float x, float *y)
+#else
+ int32_t __ieee754_rem_pio2f(x,y)
+ float x,y[];
+#endif
+{
+ float z,w,t,r,fn;
+ float tx[3];
+ int32_t e0,i,j,nx,n,ix,hx;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix<=0x3f490fd8) /* |x| ~<= pi/4 , no need for reduction */
+ {y[0] = x; y[1] = 0; return 0;}
+ if(ix<0x4016cbe4) { /* |x| < 3pi/4, special case with n=+-1 */
+ if(hx>0) {
+ z = x - pio2_1;
+ if((ix&0xfffffff0)!=0x3fc90fd0) { /* 24+24 bit pi OK */
+ y[0] = z - pio2_1t;
+ y[1] = (z-y[0])-pio2_1t;
+ } else { /* near pi/2, use 24+24+24 bit pi */
+ z -= pio2_2;
+ y[0] = z - pio2_2t;
+ y[1] = (z-y[0])-pio2_2t;
+ }
+ return 1;
+ } else { /* negative x */
+ z = x + pio2_1;
+ if((ix&0xfffffff0)!=0x3fc90fd0) { /* 24+24 bit pi OK */
+ y[0] = z + pio2_1t;
+ y[1] = (z-y[0])+pio2_1t;
+ } else { /* near pi/2, use 24+24+24 bit pi */
+ z += pio2_2;
+ y[0] = z + pio2_2t;
+ y[1] = (z-y[0])+pio2_2t;
+ }
+ return -1;
+ }
+ }
+ if(ix<=0x43490f80) { /* |x| ~<= 2^7*(pi/2), medium size */
+ t = fabsf(x);
+ n = (int32_t) (t*invpio2+half);
+ fn = (float)n;
+ r = t-fn*pio2_1;
+ w = fn*pio2_1t; /* 1st round good to 40 bit */
+ if(n<32&&(int32_t)(ix&0xffffff00)!=npio2_hw[n-1]) {
+ y[0] = r-w; /* quick check no cancellation */
+ } else {
+ u_int32_t high;
+ j = ix>>23;
+ y[0] = r-w;
+ GET_FLOAT_WORD(high,y[0]);
+ i = j-((high>>23)&0xff);
+ if(i>8) { /* 2nd iteration needed, good to 57 */
+ t = r;
+ w = fn*pio2_2;
+ r = t-w;
+ w = fn*pio2_2t-((t-r)-w);
+ y[0] = r-w;
+ GET_FLOAT_WORD(high,y[0]);
+ i = j-((high>>23)&0xff);
+ if(i>25) { /* 3rd iteration need, 74 bits acc */
+ t = r; /* will cover all possible cases */
+ w = fn*pio2_3;
+ r = t-w;
+ w = fn*pio2_3t-((t-r)-w);
+ y[0] = r-w;
+ }
+ }
+ }
+ y[1] = (r-y[0])-w;
+ if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
+ else return n;
+ }
+ /*
+ * all other (large) arguments
+ */
+ if(ix>=0x7f800000) { /* x is inf or NaN */
+ y[0]=y[1]=x-x; return 0;
+ }
+ /* set z = scalbn(|x|,ilogb(x)-7) */
+ e0 = (ix>>23)-134; /* e0 = ilogb(z)-7; */
+ SET_FLOAT_WORD(z, ix - ((int32_t)(e0<<23)));
+ for(i=0;i<2;i++) {
+ tx[i] = (float)((int32_t)(z));
+ z = (z-tx[i])*two8;
+ }
+ tx[2] = z;
+ nx = 3;
+ while(tx[nx-1]==zero) nx--; /* skip zero term */
+ n = __kernel_rem_pio2f(tx,y,e0,nx,2,two_over_pi);
+ if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
+ return n;
+}
diff --git a/sysdeps/ieee754/flt-32/e_remainderf.c b/sysdeps/ieee754/flt-32/e_remainderf.c
new file mode 100644
index 0000000..90d0d36
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_remainderf.c
@@ -0,0 +1,73 @@
+/* e_remainderf.c -- float version of e_remainder.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_remainderf.c,v 1.4 1995/05/10 20:46:08 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+
+#ifdef __STDC__
+ float __ieee754_remainderf(float x, float p)
+#else
+ float __ieee754_remainderf(x,p)
+ float x,p;
+#endif
+{
+ int32_t hx,hp;
+ u_int32_t sx;
+ float p_half;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hp,p);
+ sx = hx&0x80000000;
+ hp &= 0x7fffffff;
+ hx &= 0x7fffffff;
+
+ /* purge off exception values */
+ if(hp==0) return (x*p)/(x*p); /* p = 0 */
+ if((hx>=0x7f800000)|| /* x not finite */
+ ((hp>0x7f800000))) /* p is NaN */
+ return (x*p)/(x*p);
+
+
+ if (hp<=0x7effffff) x = __ieee754_fmodf(x,p+p); /* now x < 2p */
+ if ((hx-hp)==0) return zero*x;
+ x = fabsf(x);
+ p = fabsf(p);
+ if (hp<0x01000000) {
+ if(x+x>p) {
+ x-=p;
+ if(x+x>=p) x -= p;
+ }
+ } else {
+ p_half = (float)0.5*p;
+ if(x>p_half) {
+ x-=p;
+ if(x>=p_half) x -= p;
+ }
+ }
+ GET_FLOAT_WORD(hx,x);
+ SET_FLOAT_WORD(x,hx^sx);
+ return x;
+}
diff --git a/sysdeps/ieee754/flt-32/e_sinhf.c b/sysdeps/ieee754/flt-32/e_sinhf.c
new file mode 100644
index 0000000..045f6f1
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_sinhf.c
@@ -0,0 +1,68 @@
+/* e_sinhf.c -- float version of e_sinh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_sinhf.c,v 1.4 1995/05/10 20:46:15 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0, shuge = 1.0e37;
+#else
+static float one = 1.0, shuge = 1.0e37;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_sinhf(float x)
+#else
+ float __ieee754_sinhf(x)
+ float x;
+#endif
+{
+ float t,w,h;
+ int32_t ix,jx;
+
+ GET_FLOAT_WORD(jx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7f800000) return x+x;
+
+ h = 0.5;
+ if (jx<0) h = -h;
+ /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
+ if (ix < 0x41b00000) { /* |x|<22 */
+ if (ix<0x31800000) /* |x|<2**-28 */
+ if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
+ t = __expm1f(fabsf(x));
+ if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
+ return h*(t+t/(t+one));
+ }
+
+ /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
+ if (ix < 0x42b17180) return h*__ieee754_expf(fabsf(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ if (ix<=0x42b2d4fc) {
+ w = __ieee754_expf((float)0.5*fabsf(x));
+ t = h*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthresold, sinh(x) overflow */
+ return x*shuge;
+}
diff --git a/sysdeps/ieee754/flt-32/e_sqrtf.c b/sysdeps/ieee754/flt-32/e_sqrtf.c
new file mode 100644
index 0000000..7648ef4
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/e_sqrtf.c
@@ -0,0 +1,97 @@
+/* e_sqrtf.c -- float version of e_sqrt.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_sqrtf.c,v 1.4 1995/05/10 20:46:19 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0, tiny=1.0e-30;
+#else
+static float one = 1.0, tiny=1.0e-30;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_sqrtf(float x)
+#else
+ float __ieee754_sqrtf(x)
+ float x;
+#endif
+{
+ float z;
+ int32_t sign = (int)0x80000000;
+ int32_t ix,s,q,m,t,i;
+ u_int32_t r;
+
+ GET_FLOAT_WORD(ix,x);
+
+ /* take care of Inf and NaN */
+ if((ix&0x7f800000)==0x7f800000) {
+ return x*x+x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf
+ sqrt(-inf)=sNaN */
+ }
+ /* take care of zero */
+ if(ix<=0) {
+ if((ix&(~sign))==0) return x;/* sqrt(+-0) = +-0 */
+ else if(ix<0)
+ return (x-x)/(x-x); /* sqrt(-ve) = sNaN */
+ }
+ /* normalize x */
+ m = (ix>>23);
+ if(m==0) { /* subnormal x */
+ for(i=0;(ix&0x00800000)==0;i++) ix<<=1;
+ m -= i-1;
+ }
+ m -= 127; /* unbias exponent */
+ ix = (ix&0x007fffff)|0x00800000;
+ if(m&1) /* odd m, double x to make it even */
+ ix += ix;
+ m >>= 1; /* m = [m/2] */
+
+ /* generate sqrt(x) bit by bit */
+ ix += ix;
+ q = s = 0; /* q = sqrt(x) */
+ r = 0x01000000; /* r = moving bit from right to left */
+
+ while(r!=0) {
+ t = s+r;
+ if(t<=ix) {
+ s = t+r;
+ ix -= t;
+ q += r;
+ }
+ ix += ix;
+ r>>=1;
+ }
+
+ /* use floating add to find out rounding direction */
+ if(ix!=0) {
+ z = one-tiny; /* trigger inexact flag */
+ if (z>=one) {
+ z = one+tiny;
+ if (z>one)
+ q += 2;
+ else
+ q += (q&1);
+ }
+ }
+ ix = (q>>1)+0x3f000000;
+ ix += (m <<23);
+ SET_FLOAT_WORD(z,ix);
+ return z;
+}
diff --git a/sysdeps/ieee754/flt-32/k_cosf.c b/sysdeps/ieee754/flt-32/k_cosf.c
new file mode 100644
index 0000000..b232cab
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/k_cosf.c
@@ -0,0 +1,64 @@
+/* k_cosf.c -- float version of k_cos.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: k_cosf.c,v 1.4 1995/05/10 20:46:23 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0000000000e+00, /* 0x3f800000 */
+C1 = 4.1666667908e-02, /* 0x3d2aaaab */
+C2 = -1.3888889225e-03, /* 0xbab60b61 */
+C3 = 2.4801587642e-05, /* 0x37d00d01 */
+C4 = -2.7557314297e-07, /* 0xb493f27c */
+C5 = 2.0875723372e-09, /* 0x310f74f6 */
+C6 = -1.1359647598e-11; /* 0xad47d74e */
+
+#ifdef __STDC__
+ float __kernel_cosf(float x, float y)
+#else
+ float __kernel_cosf(x, y)
+ float x,y;
+#endif
+{
+ float a,hz,z,r,qx;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff; /* ix = |x|'s high word*/
+ if(ix<0x32000000) { /* if x < 2**27 */
+ if(((int)x)==0) return one; /* generate inexact */
+ }
+ z = x*x;
+ r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6)))));
+ if(ix < 0x3e99999a) /* if |x| < 0.3 */
+ return one - ((float)0.5*z - (z*r - x*y));
+ else {
+ if(ix > 0x3f480000) { /* x > 0.78125 */
+ qx = (float)0.28125;
+ } else {
+ SET_FLOAT_WORD(qx,ix-0x01000000); /* x/4 */
+ }
+ hz = (float)0.5*z-qx;
+ a = one-qx;
+ return a - (hz - (z*r-x*y));
+ }
+}
diff --git a/sysdeps/ieee754/flt-32/k_rem_pio2f.c b/sysdeps/ieee754/flt-32/k_rem_pio2f.c
new file mode 100644
index 0000000..2783480
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/k_rem_pio2f.c
@@ -0,0 +1,213 @@
+/* k_rem_pio2f.c -- float version of k_rem_pio2.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: k_rem_pio2f.c,v 1.4 1995/05/10 20:46:28 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+/* In the float version, the input parameter x contains 8 bit
+ integers, not 24 bit integers. 113 bit precision is not supported. */
+
+#ifdef __STDC__
+static const int init_jk[] = {4,7,9}; /* initial value for jk */
+#else
+static int init_jk[] = {4,7,9};
+#endif
+
+#ifdef __STDC__
+static const float PIo2[] = {
+#else
+static float PIo2[] = {
+#endif
+ 1.5703125000e+00, /* 0x3fc90000 */
+ 4.5776367188e-04, /* 0x39f00000 */
+ 2.5987625122e-05, /* 0x37da0000 */
+ 7.5437128544e-08, /* 0x33a20000 */
+ 6.0026650317e-11, /* 0x2e840000 */
+ 7.3896444519e-13, /* 0x2b500000 */
+ 5.3845816694e-15, /* 0x27c20000 */
+ 5.6378512969e-18, /* 0x22d00000 */
+ 8.3009228831e-20, /* 0x1fc40000 */
+ 3.2756352257e-22, /* 0x1bc60000 */
+ 6.3331015649e-25, /* 0x17440000 */
+};
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+zero = 0.0,
+one = 1.0,
+two8 = 2.5600000000e+02, /* 0x43800000 */
+twon8 = 3.9062500000e-03; /* 0x3b800000 */
+
+#ifdef __STDC__
+ int __kernel_rem_pio2f(float *x, float *y, int e0, int nx, int prec, const int32_t *ipio2)
+#else
+ int __kernel_rem_pio2f(x,y,e0,nx,prec,ipio2)
+ float x[], y[]; int e0,nx,prec; int32_t ipio2[];
+#endif
+{
+ int32_t jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih;
+ float z,fw,f[20],fq[20],q[20];
+
+ /* initialize jk*/
+ jk = init_jk[prec];
+ jp = jk;
+
+ /* determine jx,jv,q0, note that 3>q0 */
+ jx = nx-1;
+ jv = (e0-3)/8; if(jv<0) jv=0;
+ q0 = e0-8*(jv+1);
+
+ /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */
+ j = jv-jx; m = jx+jk;
+ for(i=0;i<=m;i++,j++) f[i] = (j<0)? zero : (float) ipio2[j];
+
+ /* compute q[0],q[1],...q[jk] */
+ for (i=0;i<=jk;i++) {
+ for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j]; q[i] = fw;
+ }
+
+ jz = jk;
+recompute:
+ /* distill q[] into iq[] reversingly */
+ for(i=0,j=jz,z=q[jz];j>0;i++,j--) {
+ fw = (float)((int32_t)(twon8* z));
+ iq[i] = (int32_t)(z-two8*fw);
+ z = q[j-1]+fw;
+ }
+
+ /* compute n */
+ z = __scalbnf(z,q0); /* actual value of z */
+ z -= (float)8.0*__floorf(z*(float)0.125); /* trim off integer >= 8 */
+ n = (int32_t) z;
+ z -= (float)n;
+ ih = 0;
+ if(q0>0) { /* need iq[jz-1] to determine n */
+ i = (iq[jz-1]>>(8-q0)); n += i;
+ iq[jz-1] -= i<<(8-q0);
+ ih = iq[jz-1]>>(7-q0);
+ }
+ else if(q0==0) ih = iq[jz-1]>>8;
+ else if(z>=(float)0.5) ih=2;
+
+ if(ih>0) { /* q > 0.5 */
+ n += 1; carry = 0;
+ for(i=0;i<jz ;i++) { /* compute 1-q */
+ j = iq[i];
+ if(carry==0) {
+ if(j!=0) {
+ carry = 1; iq[i] = 0x100- j;
+ }
+ } else iq[i] = 0xff - j;
+ }
+ if(q0>0) { /* rare case: chance is 1 in 12 */
+ switch(q0) {
+ case 1:
+ iq[jz-1] &= 0x7f; break;
+ case 2:
+ iq[jz-1] &= 0x3f; break;
+ }
+ }
+ if(ih==2) {
+ z = one - z;
+ if(carry!=0) z -= __scalbnf(one,q0);
+ }
+ }
+
+ /* check if recomputation is needed */
+ if(z==zero) {
+ j = 0;
+ for (i=jz-1;i>=jk;i--) j |= iq[i];
+ if(j==0) { /* need recomputation */
+ for(k=1;iq[jk-k]==0;k++); /* k = no. of terms needed */
+
+ for(i=jz+1;i<=jz+k;i++) { /* add q[jz+1] to q[jz+k] */
+ f[jx+i] = (float) ipio2[jv+i];
+ for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j];
+ q[i] = fw;
+ }
+ jz += k;
+ goto recompute;
+ }
+ }
+
+ /* chop off zero terms */
+ if(z==(float)0.0) {
+ jz -= 1; q0 -= 8;
+ while(iq[jz]==0) { jz--; q0-=8;}
+ } else { /* break z into 8-bit if necessary */
+ z = __scalbnf(z,-q0);
+ if(z>=two8) {
+ fw = (float)((int32_t)(twon8*z));
+ iq[jz] = (int32_t)(z-two8*fw);
+ jz += 1; q0 += 8;
+ iq[jz] = (int32_t) fw;
+ } else iq[jz] = (int32_t) z ;
+ }
+
+ /* convert integer "bit" chunk to floating-point value */
+ fw = __scalbnf(one,q0);
+ for(i=jz;i>=0;i--) {
+ q[i] = fw*(float)iq[i]; fw*=twon8;
+ }
+
+ /* compute PIo2[0,...,jp]*q[jz,...,0] */
+ for(i=jz;i>=0;i--) {
+ for(fw=0.0,k=0;k<=jp&&k<=jz-i;k++) fw += PIo2[k]*q[i+k];
+ fq[jz-i] = fw;
+ }
+
+ /* compress fq[] into y[] */
+ switch(prec) {
+ case 0:
+ fw = 0.0;
+ for (i=jz;i>=0;i--) fw += fq[i];
+ y[0] = (ih==0)? fw: -fw;
+ break;
+ case 1:
+ case 2:
+ fw = 0.0;
+ for (i=jz;i>=0;i--) fw += fq[i];
+ y[0] = (ih==0)? fw: -fw;
+ fw = fq[0]-fw;
+ for (i=1;i<=jz;i++) fw += fq[i];
+ y[1] = (ih==0)? fw: -fw;
+ break;
+ case 3: /* painful */
+ for (i=jz;i>0;i--) {
+ fw = fq[i-1]+fq[i];
+ fq[i] += fq[i-1]-fw;
+ fq[i-1] = fw;
+ }
+ for (i=jz;i>1;i--) {
+ fw = fq[i-1]+fq[i];
+ fq[i] += fq[i-1]-fw;
+ fq[i-1] = fw;
+ }
+ for (fw=0.0,i=jz;i>=2;i--) fw += fq[i];
+ if(ih==0) {
+ y[0] = fq[0]; y[1] = fq[1]; y[2] = fw;
+ } else {
+ y[0] = -fq[0]; y[1] = -fq[1]; y[2] = -fw;
+ }
+ }
+ return n&7;
+}
diff --git a/sysdeps/ieee754/flt-32/k_sinf.c b/sysdeps/ieee754/flt-32/k_sinf.c
new file mode 100644
index 0000000..4fec15e
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/k_sinf.c
@@ -0,0 +1,54 @@
+/* k_sinf.c -- float version of k_sin.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: k_sinf.c,v 1.4 1995/05/10 20:46:33 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+half = 5.0000000000e-01,/* 0x3f000000 */
+S1 = -1.6666667163e-01, /* 0xbe2aaaab */
+S2 = 8.3333337680e-03, /* 0x3c088889 */
+S3 = -1.9841270114e-04, /* 0xb9500d01 */
+S4 = 2.7557314297e-06, /* 0x3638ef1b */
+S5 = -2.5050759689e-08, /* 0xb2d72f34 */
+S6 = 1.5896910177e-10; /* 0x2f2ec9d3 */
+
+#ifdef __STDC__
+ float __kernel_sinf(float x, float y, int iy)
+#else
+ float __kernel_sinf(x, y, iy)
+ float x,y; int iy; /* iy=0 if y is zero */
+#endif
+{
+ float z,r,v;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff; /* high word of x */
+ if(ix<0x32000000) /* |x| < 2**-27 */
+ {if((int)x==0) return x;} /* generate inexact */
+ z = x*x;
+ v = z*x;
+ r = S2+z*(S3+z*(S4+z*(S5+z*S6)));
+ if(iy==0) return x+v*(S1+z*r);
+ else return x-((z*(half*y-v*r)-y)-v*S1);
+}
diff --git a/sysdeps/ieee754/flt-32/k_tanf.c b/sysdeps/ieee754/flt-32/k_tanf.c
new file mode 100644
index 0000000..eb1a670
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/k_tanf.c
@@ -0,0 +1,101 @@
+/* k_tanf.c -- float version of k_tan.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: k_tanf.c,v 1.4 1995/05/10 20:46:39 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0000000000e+00, /* 0x3f800000 */
+pio4 = 7.8539812565e-01, /* 0x3f490fda */
+pio4lo= 3.7748947079e-08, /* 0x33222168 */
+T[] = {
+ 3.3333334327e-01, /* 0x3eaaaaab */
+ 1.3333334029e-01, /* 0x3e088889 */
+ 5.3968254477e-02, /* 0x3d5d0dd1 */
+ 2.1869488060e-02, /* 0x3cb327a4 */
+ 8.8632395491e-03, /* 0x3c11371f */
+ 3.5920790397e-03, /* 0x3b6b6916 */
+ 1.4562094584e-03, /* 0x3abede48 */
+ 5.8804126456e-04, /* 0x3a1a26c8 */
+ 2.4646313977e-04, /* 0x398137b9 */
+ 7.8179444245e-05, /* 0x38a3f445 */
+ 7.1407252108e-05, /* 0x3895c07a */
+ -1.8558637748e-05, /* 0xb79bae5f */
+ 2.5907305826e-05, /* 0x37d95384 */
+};
+
+#ifdef __STDC__
+ float __kernel_tanf(float x, float y, int iy)
+#else
+ float __kernel_tanf(x, y, iy)
+ float x,y; int iy;
+#endif
+{
+ float z,r,v,w,s;
+ int32_t ix,hx;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff; /* high word of |x| */
+ if(ix<0x31800000) /* x < 2**-28 */
+ {if((int)x==0) { /* generate inexact */
+ if((ix|(iy+1))==0) return one/fabsf(x);
+ else return (iy==1)? x: -one/x;
+ }
+ }
+ if(ix>=0x3f2ca140) { /* |x|>=0.6744 */
+ if(hx<0) {x = -x; y = -y;}
+ z = pio4-x;
+ w = pio4lo-y;
+ x = z+w; y = 0.0;
+ }
+ z = x*x;
+ w = z*z;
+ /* Break x^5*(T[1]+x^2*T[2]+...) into
+ * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) +
+ * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12]))
+ */
+ r = T[1]+w*(T[3]+w*(T[5]+w*(T[7]+w*(T[9]+w*T[11]))));
+ v = z*(T[2]+w*(T[4]+w*(T[6]+w*(T[8]+w*(T[10]+w*T[12])))));
+ s = z*x;
+ r = y + z*(s*(r+v)+y);
+ r += T[0]*s;
+ w = x+r;
+ if(ix>=0x3f2ca140) {
+ v = (float)iy;
+ return (float)(1-((hx>>30)&2))*(v-(float)2.0*(x-(w*w/(w+v)-r)));
+ }
+ if(iy==1) return w;
+ else { /* if allow error up to 2 ulp,
+ simply return -1.0/(x+r) here */
+ /* compute -1.0/(x+r) accurately */
+ float a,t;
+ int32_t i;
+ z = w;
+ GET_FLOAT_WORD(i,z);
+ SET_FLOAT_WORD(z,i&0xfffff000);
+ v = r-(z - x); /* z+v = r+x */
+ t = a = -(float)1.0/w; /* a = -1.0/w */
+ GET_FLOAT_WORD(i,t);
+ SET_FLOAT_WORD(t,i&0xfffff000);
+ s = (float)1.0+t*z;
+ return t+a*(s+t*v);
+ }
+}
diff --git a/sysdeps/ieee754/mpn2flt.c b/sysdeps/ieee754/flt-32/mpn2flt.c
index a409b45..a409b45 100644
--- a/sysdeps/ieee754/mpn2flt.c
+++ b/sysdeps/ieee754/flt-32/mpn2flt.c
diff --git a/sysdeps/ieee754/flt-32/s_asinhf.c b/sysdeps/ieee754/flt-32/s_asinhf.c
new file mode 100644
index 0000000..fac256d
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_asinhf.c
@@ -0,0 +1,58 @@
+/* s_asinhf.c -- float version of s_asinh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_asinhf.c,v 1.5 1995/05/12 04:57:39 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0000000000e+00, /* 0x3F800000 */
+ln2 = 6.9314718246e-01, /* 0x3f317218 */
+huge= 1.0000000000e+30;
+
+#ifdef __STDC__
+ float __asinhf(float x)
+#else
+ float __asinhf(x)
+ float x;
+#endif
+{
+ float t,w;
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) return x+x; /* x is inf or NaN */
+ if(ix< 0x38000000) { /* |x|<2**-14 */
+ if(huge+x>one) return x; /* return x inexact except 0 */
+ }
+ if(ix>0x47000000) { /* |x| > 2**14 */
+ w = __ieee754_logf(fabsf(x))+ln2;
+ } else if (ix>0x40000000) { /* 2**14 > |x| > 2.0 */
+ t = fabsf(x);
+ w = __ieee754_logf((float)2.0*t+one/(__ieee754_sqrtf(x*x+one)+t));
+ } else { /* 2.0 > |x| > 2**-14 */
+ t = x*x;
+ w =__log1pf(fabsf(x)+t/(one+__ieee754_sqrtf(one+t)));
+ }
+ if(hx>0) return w; else return -w;
+}
+weak_alias (__asinhf, asinhf)
diff --git a/sysdeps/ieee754/flt-32/s_atanf.c b/sysdeps/ieee754/flt-32/s_atanf.c
new file mode 100644
index 0000000..a68933f
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_atanf.c
@@ -0,0 +1,120 @@
+/* s_atanf.c -- float version of s_atan.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_atanf.c,v 1.4 1995/05/10 20:46:47 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float atanhi[] = {
+#else
+static float atanhi[] = {
+#endif
+ 4.6364760399e-01, /* atan(0.5)hi 0x3eed6338 */
+ 7.8539812565e-01, /* atan(1.0)hi 0x3f490fda */
+ 9.8279368877e-01, /* atan(1.5)hi 0x3f7b985e */
+ 1.5707962513e+00, /* atan(inf)hi 0x3fc90fda */
+};
+
+#ifdef __STDC__
+static const float atanlo[] = {
+#else
+static float atanlo[] = {
+#endif
+ 5.0121582440e-09, /* atan(0.5)lo 0x31ac3769 */
+ 3.7748947079e-08, /* atan(1.0)lo 0x33222168 */
+ 3.4473217170e-08, /* atan(1.5)lo 0x33140fb4 */
+ 7.5497894159e-08, /* atan(inf)lo 0x33a22168 */
+};
+
+#ifdef __STDC__
+static const float aT[] = {
+#else
+static float aT[] = {
+#endif
+ 3.3333334327e-01, /* 0x3eaaaaaa */
+ -2.0000000298e-01, /* 0xbe4ccccd */
+ 1.4285714924e-01, /* 0x3e124925 */
+ -1.1111110449e-01, /* 0xbde38e38 */
+ 9.0908870101e-02, /* 0x3dba2e6e */
+ -7.6918758452e-02, /* 0xbd9d8795 */
+ 6.6610731184e-02, /* 0x3d886b35 */
+ -5.8335702866e-02, /* 0xbd6ef16b */
+ 4.9768779427e-02, /* 0x3d4bda59 */
+ -3.6531571299e-02, /* 0xbd15a221 */
+ 1.6285819933e-02, /* 0x3c8569d7 */
+};
+
+#ifdef __STDC__
+ static const float
+#else
+ static float
+#endif
+one = 1.0,
+huge = 1.0e30;
+
+#ifdef __STDC__
+ float __atanf(float x)
+#else
+ float __atanf(x)
+ float x;
+#endif
+{
+ float w,s1,s2,z;
+ int32_t ix,hx,id;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x50800000) { /* if |x| >= 2^34 */
+ if(ix>0x7f800000)
+ return x+x; /* NaN */
+ if(hx>0) return atanhi[3]+atanlo[3];
+ else return -atanhi[3]-atanlo[3];
+ } if (ix < 0x3ee00000) { /* |x| < 0.4375 */
+ if (ix < 0x31000000) { /* |x| < 2^-29 */
+ if(huge+x>one) return x; /* raise inexact */
+ }
+ id = -1;
+ } else {
+ x = fabsf(x);
+ if (ix < 0x3f980000) { /* |x| < 1.1875 */
+ if (ix < 0x3f300000) { /* 7/16 <=|x|<11/16 */
+ id = 0; x = ((float)2.0*x-one)/((float)2.0+x);
+ } else { /* 11/16<=|x|< 19/16 */
+ id = 1; x = (x-one)/(x+one);
+ }
+ } else {
+ if (ix < 0x401c0000) { /* |x| < 2.4375 */
+ id = 2; x = (x-(float)1.5)/(one+(float)1.5*x);
+ } else { /* 2.4375 <= |x| < 2^66 */
+ id = 3; x = -(float)1.0/x;
+ }
+ }}
+ /* end of argument reduction */
+ z = x*x;
+ w = z*z;
+ /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */
+ s1 = z*(aT[0]+w*(aT[2]+w*(aT[4]+w*(aT[6]+w*(aT[8]+w*aT[10])))));
+ s2 = w*(aT[1]+w*(aT[3]+w*(aT[5]+w*(aT[7]+w*aT[9]))));
+ if (id<0) return x - x*(s1+s2);
+ else {
+ z = atanhi[id] - ((x*(s1+s2) - atanlo[id]) - x);
+ return (hx<0)? -z:z;
+ }
+}
+weak_alias (__atanf, atanf)
diff --git a/sysdeps/ieee754/flt-32/s_cbrtf.c b/sysdeps/ieee754/flt-32/s_cbrtf.c
new file mode 100644
index 0000000..fa0fef9
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_cbrtf.c
@@ -0,0 +1,64 @@
+/* Compute cubic root of float value.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Dirk Alboth <dirka@uni-paderborn.de> and
+ Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#define CBRT2 1.2599210498948731648 /* 2^(1/3) */
+#define SQR_CBRT2 1.5874010519681994748 /* 2^(2/3) */
+
+static const double factor[5] =
+{
+ 1.0 / SQR_CBRT2,
+ 1.0 / CBRT2,
+ 1.0,
+ CBRT2,
+ SQR_CBRT2
+};
+
+
+float
+__cbrtf (float x)
+{
+ float xm, ym, u, t2;
+ int xe;
+
+ /* Reduce X. XM now is an range 1.0 to 0.5. */
+ xm = __frexpf (fabsf (x), &xe);
+
+ /* If X is not finite or is null return it (with raising exceptions
+ if necessary.
+ Note: *Our* version of `frexp' sets XE to zero if the argument is
+ Inf or NaN. This is not portable but faster. */
+ if (xe == 0 && fpclassify (x) <= FP_ZERO)
+ return x + x;
+
+ u = (0.492659620528969547 + (0.697570460207922770
+ - 0.191502161678719066 * xm) * xm);
+
+ t2 = u * u * u;
+
+ ym = u * (t2 + 2.0 * xm) / (2.0 * t2 + xm) * factor[2 + xe % 3];
+
+ return __ldexpf (x > 0.0 ? ym : -ym, xe / 3);
+}
+weak_alias (__cbrtf, cbrtf)
diff --git a/sysdeps/ieee754/flt-32/s_ceilf.c b/sysdeps/ieee754/flt-32/s_ceilf.c
new file mode 100644
index 0000000..29ccadb
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_ceilf.c
@@ -0,0 +1,62 @@
+/* s_ceilf.c -- float version of s_ceil.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_ceilf.c,v 1.4 1995/05/10 20:46:55 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float huge = 1.0e30;
+#else
+static float huge = 1.0e30;
+#endif
+
+#ifdef __STDC__
+ float __ceilf(float x)
+#else
+ float __ceilf(x)
+ float x;
+#endif
+{
+ int32_t i0,j0;
+ u_int32_t i;
+
+ GET_FLOAT_WORD(i0,x);
+ j0 = ((i0>>23)&0xff)-0x7f;
+ if(j0<23) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>(float)0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0<0) {i0=0x80000000;}
+ else if(i0!=0) { i0=0x3f800000;}
+ }
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) return x; /* x is integral */
+ if(huge+x>(float)0.0) { /* raise inexact flag */
+ if(i0>0) i0 += (0x00800000)>>j0;
+ i0 &= (~i);
+ }
+ }
+ } else {
+ if(j0==0x80) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ }
+ SET_FLOAT_WORD(x,i0);
+ return x;
+}
+weak_alias (__ceilf, ceilf)
diff --git a/sysdeps/ieee754/flt-32/s_copysignf.c b/sysdeps/ieee754/flt-32/s_copysignf.c
new file mode 100644
index 0000000..a4e84e5
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_copysignf.c
@@ -0,0 +1,42 @@
+/* s_copysignf.c -- float version of s_copysign.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_copysignf.c,v 1.4 1995/05/10 20:46:59 jtc Exp $";
+#endif
+
+/*
+ * copysignf(float x, float y)
+ * copysignf(x,y) returns a value with the magnitude of x and
+ * with the sign bit of y.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __copysignf(float x, float y)
+#else
+ float __copysignf(x,y)
+ float x,y;
+#endif
+{
+ u_int32_t ix,iy;
+ GET_FLOAT_WORD(ix,x);
+ GET_FLOAT_WORD(iy,y);
+ SET_FLOAT_WORD(x,(ix&0x7fffffff)|(iy&0x80000000));
+ return x;
+}
+weak_alias (__copysignf, copysignf)
diff --git a/sysdeps/ieee754/flt-32/s_cosf.c b/sysdeps/ieee754/flt-32/s_cosf.c
new file mode 100644
index 0000000..86c59d4
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_cosf.c
@@ -0,0 +1,60 @@
+/* s_cosf.c -- float version of s_cos.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_cosf.c,v 1.4 1995/05/10 20:47:03 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one=1.0;
+#else
+static float one=1.0;
+#endif
+
+#ifdef __STDC__
+ float __cosf(float x)
+#else
+ float __cosf(x)
+ float x;
+#endif
+{
+ float y[2],z=0.0;
+ int32_t n,ix;
+
+ GET_FLOAT_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3f490fd8) return __kernel_cosf(x,z);
+
+ /* cos(Inf or NaN) is NaN */
+ else if (ix>=0x7f800000) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2f(x,y);
+ switch(n&3) {
+ case 0: return __kernel_cosf(y[0],y[1]);
+ case 1: return -__kernel_sinf(y[0],y[1],1);
+ case 2: return -__kernel_cosf(y[0],y[1]);
+ default:
+ return __kernel_sinf(y[0],y[1],1);
+ }
+ }
+}
+weak_alias (__cosf, cosf)
diff --git a/sysdeps/ieee754/flt-32/s_erff.c b/sysdeps/ieee754/flt-32/s_erff.c
new file mode 100644
index 0000000..774714c
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_erff.c
@@ -0,0 +1,225 @@
+/* s_erff.c -- float version of s_erf.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_erff.c,v 1.4 1995/05/10 20:47:07 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+tiny = 1e-30,
+half= 5.0000000000e-01, /* 0x3F000000 */
+one = 1.0000000000e+00, /* 0x3F800000 */
+two = 2.0000000000e+00, /* 0x40000000 */
+ /* c = (subfloat)0.84506291151 */
+erx = 8.4506291151e-01, /* 0x3f58560b */
+/*
+ * Coefficients for approximation to erf on [0,0.84375]
+ */
+efx = 1.2837916613e-01, /* 0x3e0375d4 */
+efx8= 1.0270333290e+00, /* 0x3f8375d4 */
+pp0 = 1.2837916613e-01, /* 0x3e0375d4 */
+pp1 = -3.2504209876e-01, /* 0xbea66beb */
+pp2 = -2.8481749818e-02, /* 0xbce9528f */
+pp3 = -5.7702702470e-03, /* 0xbbbd1489 */
+pp4 = -2.3763017452e-05, /* 0xb7c756b1 */
+qq1 = 3.9791721106e-01, /* 0x3ecbbbce */
+qq2 = 6.5022252500e-02, /* 0x3d852a63 */
+qq3 = 5.0813062117e-03, /* 0x3ba68116 */
+qq4 = 1.3249473704e-04, /* 0x390aee49 */
+qq5 = -3.9602282413e-06, /* 0xb684e21a */
+/*
+ * Coefficients for approximation to erf in [0.84375,1.25]
+ */
+pa0 = -2.3621185683e-03, /* 0xbb1acdc6 */
+pa1 = 4.1485610604e-01, /* 0x3ed46805 */
+pa2 = -3.7220788002e-01, /* 0xbebe9208 */
+pa3 = 3.1834661961e-01, /* 0x3ea2fe54 */
+pa4 = -1.1089469492e-01, /* 0xbde31cc2 */
+pa5 = 3.5478305072e-02, /* 0x3d1151b3 */
+pa6 = -2.1663755178e-03, /* 0xbb0df9c0 */
+qa1 = 1.0642088205e-01, /* 0x3dd9f331 */
+qa2 = 5.4039794207e-01, /* 0x3f0a5785 */
+qa3 = 7.1828655899e-02, /* 0x3d931ae7 */
+qa4 = 1.2617121637e-01, /* 0x3e013307 */
+qa5 = 1.3637083583e-02, /* 0x3c5f6e13 */
+qa6 = 1.1984500103e-02, /* 0x3c445aa3 */
+/*
+ * Coefficients for approximation to erfc in [1.25,1/0.35]
+ */
+ra0 = -9.8649440333e-03, /* 0xbc21a093 */
+ra1 = -6.9385856390e-01, /* 0xbf31a0b7 */
+ra2 = -1.0558626175e+01, /* 0xc128f022 */
+ra3 = -6.2375331879e+01, /* 0xc2798057 */
+ra4 = -1.6239666748e+02, /* 0xc322658c */
+ra5 = -1.8460508728e+02, /* 0xc3389ae7 */
+ra6 = -8.1287437439e+01, /* 0xc2a2932b */
+ra7 = -9.8143291473e+00, /* 0xc11d077e */
+sa1 = 1.9651271820e+01, /* 0x419d35ce */
+sa2 = 1.3765776062e+02, /* 0x4309a863 */
+sa3 = 4.3456588745e+02, /* 0x43d9486f */
+sa4 = 6.4538726807e+02, /* 0x442158c9 */
+sa5 = 4.2900814819e+02, /* 0x43d6810b */
+sa6 = 1.0863500214e+02, /* 0x42d9451f */
+sa7 = 6.5702495575e+00, /* 0x40d23f7c */
+sa8 = -6.0424413532e-02, /* 0xbd777f97 */
+/*
+ * Coefficients for approximation to erfc in [1/.35,28]
+ */
+rb0 = -9.8649431020e-03, /* 0xbc21a092 */
+rb1 = -7.9928326607e-01, /* 0xbf4c9dd4 */
+rb2 = -1.7757955551e+01, /* 0xc18e104b */
+rb3 = -1.6063638306e+02, /* 0xc320a2ea */
+rb4 = -6.3756646729e+02, /* 0xc41f6441 */
+rb5 = -1.0250950928e+03, /* 0xc480230b */
+rb6 = -4.8351919556e+02, /* 0xc3f1c275 */
+sb1 = 3.0338060379e+01, /* 0x41f2b459 */
+sb2 = 3.2579251099e+02, /* 0x43a2e571 */
+sb3 = 1.5367296143e+03, /* 0x44c01759 */
+sb4 = 3.1998581543e+03, /* 0x4547fdbb */
+sb5 = 2.5530502930e+03, /* 0x451f90ce */
+sb6 = 4.7452853394e+02, /* 0x43ed43a7 */
+sb7 = -2.2440952301e+01; /* 0xc1b38712 */
+
+#ifdef __STDC__
+ float __erff(float x)
+#else
+ float __erff(x)
+ float x;
+#endif
+{
+ int32_t hx,ix,i;
+ float R,S,P,Q,s,y,z,r;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) { /* erf(nan)=nan */
+ i = ((u_int32_t)hx>>31)<<1;
+ return (float)(1-i)+one/x; /* erf(+-inf)=+-1 */
+ }
+
+ if(ix < 0x3f580000) { /* |x|<0.84375 */
+ if(ix < 0x31800000) { /* |x|<2**-28 */
+ if (ix < 0x04000000)
+ /*avoid underflow */
+ return (float)0.125*((float)8.0*x+efx8*x);
+ return x + efx*x;
+ }
+ z = x*x;
+ r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
+ s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
+ y = r/s;
+ return x + x*y;
+ }
+ if(ix < 0x3fa00000) { /* 0.84375 <= |x| < 1.25 */
+ s = fabsf(x)-one;
+ P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
+ Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
+ if(hx>=0) return erx + P/Q; else return -erx - P/Q;
+ }
+ if (ix >= 0x40c00000) { /* inf>|x|>=6 */
+ if(hx>=0) return one-tiny; else return tiny-one;
+ }
+ x = fabsf(x);
+ s = one/(x*x);
+ if(ix< 0x4036DB6E) { /* |x| < 1/0.35 */
+ R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
+ ra5+s*(ra6+s*ra7))))));
+ S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
+ sa5+s*(sa6+s*(sa7+s*sa8)))))));
+ } else { /* |x| >= 1/0.35 */
+ R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
+ rb5+s*rb6)))));
+ S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
+ sb5+s*(sb6+s*sb7))))));
+ }
+ GET_FLOAT_WORD(ix,x);
+ SET_FLOAT_WORD(z,ix&0xfffff000);
+ r = __ieee754_expf(-z*z-(float)0.5625)*__ieee754_expf((z-x)*(z+x)+R/S);
+ if(hx>=0) return one-r/x; else return r/x-one;
+}
+weak_alias (__erff, erff)
+
+#ifdef __STDC__
+ float __erfcf(float x)
+#else
+ float __erfcf(x)
+ float x;
+#endif
+{
+ int32_t hx,ix;
+ float R,S,P,Q,s,y,z,r;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) { /* erfc(nan)=nan */
+ /* erfc(+-inf)=0,2 */
+ return (float)(((u_int32_t)hx>>31)<<1)+one/x;
+ }
+
+ if(ix < 0x3f580000) { /* |x|<0.84375 */
+ if(ix < 0x23800000) /* |x|<2**-56 */
+ return one-x;
+ z = x*x;
+ r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
+ s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
+ y = r/s;
+ if(hx < 0x3e800000) { /* x<1/4 */
+ return one-(x+x*y);
+ } else {
+ r = x*y;
+ r += (x-half);
+ return half - r ;
+ }
+ }
+ if(ix < 0x3fa00000) { /* 0.84375 <= |x| < 1.25 */
+ s = fabsf(x)-one;
+ P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
+ Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
+ if(hx>=0) {
+ z = one-erx; return z - P/Q;
+ } else {
+ z = erx+P/Q; return one+z;
+ }
+ }
+ if (ix < 0x41e00000) { /* |x|<28 */
+ x = fabsf(x);
+ s = one/(x*x);
+ if(ix< 0x4036DB6D) { /* |x| < 1/.35 ~ 2.857143*/
+ R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
+ ra5+s*(ra6+s*ra7))))));
+ S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
+ sa5+s*(sa6+s*(sa7+s*sa8)))))));
+ } else { /* |x| >= 1/.35 ~ 2.857143 */
+ if(hx<0&&ix>=0x40c00000) return two-tiny;/* x < -6 */
+ R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
+ rb5+s*rb6)))));
+ S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
+ sb5+s*(sb6+s*sb7))))));
+ }
+ GET_FLOAT_WORD(ix,x);
+ SET_FLOAT_WORD(z,ix&0xfffff000);
+ r = __ieee754_expf(-z*z-(float)0.5625)*
+ __ieee754_expf((z-x)*(z+x)+R/S);
+ if(hx>0) return r/x; else return two-r/x;
+ } else {
+ if(hx>0) return tiny*tiny; else return two-tiny;
+ }
+}
+weak_alias (__erfcf, erfcf)
diff --git a/sysdeps/ieee754/flt-32/s_exp2f.c b/sysdeps/ieee754/flt-32/s_exp2f.c
new file mode 100644
index 0000000..8229885
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_exp2f.c
@@ -0,0 +1,127 @@
+/* Single-precision floating point 2^x.
+ Copyright (C) 1997, 1998 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Geoffrey Keating <geoffk@ozemail.com.au>
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+/* The basic design here is from
+ Shmuel Gal and Boris Bachelis, "An Accurate Elementary Mathematical
+ Library for the IEEE Floating Point Standard", ACM Trans. Math. Soft.,
+ 17 (1), March 1991, pp. 26-45.
+ It has been slightly modified to compute 2^x instead of e^x, and for
+ single-precision.
+ */
+#ifndef _GNU_SOURCE
+# define _GNU_SOURCE
+#endif
+#include <float.h>
+#include <ieee754.h>
+#include <math.h>
+#include <fenv.h>
+#include <inttypes.h>
+#include <math_private.h>
+
+#include "t_exp2f.h"
+
+static const volatile float TWOM100 = 7.88860905e-31;
+static const volatile float TWO127 = 1.7014118346e+38;
+
+float
+__ieee754_exp2f (float x)
+{
+ static const float himark = (float) FLT_MAX_EXP;
+ static const float lomark = (float) (FLT_MIN_EXP - FLT_MANT_DIG - 1) - 1.0;
+
+ /* Check for usual case. */
+ if (isless (x, himark) && isgreater (x, lomark))
+ {
+ static const float THREEp14 = 49152.0;
+ int tval, unsafe;
+ float rx, x22, result;
+ union ieee754_float ex2_u, scale_u;
+ fenv_t oldenv;
+
+ feholdexcept (&oldenv);
+#ifdef FE_TONEAREST
+ /* If we don't have this, it's too bad. */
+ fesetround (FE_TONEAREST);
+#endif
+
+ /* 1. Argument reduction.
+ Choose integers ex, -128 <= t < 128, and some real
+ -1/512 <= x1 <= 1/512 so that
+ x = ex + t/512 + x1.
+
+ First, calculate rx = ex + t/256. */
+ rx = x + THREEp14;
+ rx -= THREEp14;
+ x -= rx; /* Compute x=x1. */
+ /* Compute tval = (ex*256 + t)+128.
+ Now, t = (tval mod 256)-128 and ex=tval/256 [that's mod, NOT %; and
+ /-round-to-nearest not the usual c integer /]. */
+ tval = (int) (rx * 256.0f + 128.0f);
+
+ /* 2. Adjust for accurate table entry.
+ Find e so that
+ x = ex + t/256 + e + x2
+ where -7e-4 < e < 7e-4, and
+ (float)(2^(t/256+e))
+ is accurate to one part in 2^-64. */
+
+ /* 'tval & 255' is the same as 'tval%256' except that it's always
+ positive.
+ Compute x = x2. */
+ x -= __exp2f_deltatable[tval & 255];
+
+ /* 3. Compute ex2 = 2^(t/255+e+ex). */
+ ex2_u.f = __exp2f_atable[tval & 255];
+ tval >>= 8;
+ unsafe = abs(tval) >= -FLT_MIN_EXP - 1;
+ ex2_u.ieee.exponent += tval >> unsafe;
+ scale_u.f = 1.0;
+ scale_u.ieee.exponent += tval - (tval >> unsafe);
+
+ /* 4. Approximate 2^x2 - 1, using a second-degree polynomial,
+ with maximum error in [-2^-9 - 2^-14, 2^-9 + 2^-14]
+ less than 1.3e-10. */
+
+ x22 = (.24022656679f * x + .69314736128f) * ex2_u.f;
+
+ /* 5. Return (2^x2-1) * 2^(t/512+e+ex) + 2^(t/512+e+ex). */
+ fesetenv (&oldenv);
+
+ result = x22 * x + ex2_u.f;
+
+ if (!unsafe)
+ return result;
+ else
+ return result * scale_u.f;
+ }
+ /* Exceptional cases: */
+ else if (isless (x, himark))
+ {
+ if (__isinff (x))
+ /* e^-inf == 0, with no error. */
+ return 0;
+ else
+ /* Underflow */
+ return TWOM100 * TWOM100;
+ }
+ else
+ /* Return x, if x is a NaN or Inf; or overflow, otherwise. */
+ return TWO127*x;
+}
diff --git a/sysdeps/ieee754/flt-32/s_expm1f.c b/sysdeps/ieee754/flt-32/s_expm1f.c
new file mode 100644
index 0000000..375e334
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_expm1f.c
@@ -0,0 +1,135 @@
+/* s_expm1f.c -- float version of s_expm1.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_expm1f.c,v 1.5 1995/05/10 20:47:11 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+static const volatile float huge = 1.0e+30, tiny = 1.0e-30;
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0,
+o_threshold = 8.8721679688e+01,/* 0x42b17180 */
+ln2_hi = 6.9313812256e-01,/* 0x3f317180 */
+ln2_lo = 9.0580006145e-06,/* 0x3717f7d1 */
+invln2 = 1.4426950216e+00,/* 0x3fb8aa3b */
+ /* scaled coefficients related to expm1 */
+Q1 = -3.3333335072e-02, /* 0xbd088889 */
+Q2 = 1.5873016091e-03, /* 0x3ad00d01 */
+Q3 = -7.9365076090e-05, /* 0xb8a670cd */
+Q4 = 4.0082177293e-06, /* 0x36867e54 */
+Q5 = -2.0109921195e-07; /* 0xb457edbb */
+
+#ifdef __STDC__
+ float __expm1f(float x)
+#else
+ float __expm1f(x)
+ float x;
+#endif
+{
+ float y,hi,lo,c,t,e,hxs,hfx,r1;
+ int32_t k,xsb;
+ u_int32_t hx;
+
+ GET_FLOAT_WORD(hx,x);
+ xsb = hx&0x80000000; /* sign bit of x */
+ if(xsb==0) y=x; else y= -x; /* y = |x| */
+ hx &= 0x7fffffff; /* high word of |x| */
+
+ /* filter out huge and non-finite argument */
+ if(hx >= 0x4195b844) { /* if |x|>=27*ln2 */
+ if(hx >= 0x42b17218) { /* if |x|>=88.721... */
+ if(hx>0x7f800000)
+ return x+x; /* NaN */
+ if(hx==0x7f800000)
+ return (xsb==0)? x:-1.0;/* exp(+-inf)={inf,-1} */
+ if(x > o_threshold) return huge*huge; /* overflow */
+ }
+ if(xsb!=0) { /* x < -27*ln2, return -1.0 with inexact */
+ if(x+tiny<(float)0.0) /* raise inexact */
+ return tiny-one; /* return -1 */
+ }
+ }
+
+ /* argument reduction */
+ if(hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */
+ if(hx < 0x3F851592) { /* and |x| < 1.5 ln2 */
+ if(xsb==0)
+ {hi = x - ln2_hi; lo = ln2_lo; k = 1;}
+ else
+ {hi = x + ln2_hi; lo = -ln2_lo; k = -1;}
+ } else {
+ k = invln2*x+((xsb==0)?(float)0.5:(float)-0.5);
+ t = k;
+ hi = x - t*ln2_hi; /* t*ln2_hi is exact here */
+ lo = t*ln2_lo;
+ }
+ x = hi - lo;
+ c = (hi-x)-lo;
+ }
+ else if(hx < 0x33000000) { /* when |x|<2**-25, return x */
+ t = huge+x; /* return x with inexact flags when x!=0 */
+ return x - (t-(huge+x));
+ }
+ else k = 0;
+
+ /* x is now in primary range */
+ hfx = (float)0.5*x;
+ hxs = x*hfx;
+ r1 = one+hxs*(Q1+hxs*(Q2+hxs*(Q3+hxs*(Q4+hxs*Q5))));
+ t = (float)3.0-r1*hfx;
+ e = hxs*((r1-t)/((float)6.0 - x*t));
+ if(k==0) return x - (x*e-hxs); /* c is 0 */
+ else {
+ e = (x*(e-c)-c);
+ e -= hxs;
+ if(k== -1) return (float)0.5*(x-e)-(float)0.5;
+ if(k==1) {
+ if(x < (float)-0.25) return -(float)2.0*(e-(x+(float)0.5));
+ else return one+(float)2.0*(x-e);
+ }
+ if (k <= -2 || k>56) { /* suffice to return exp(x)-1 */
+ int32_t i;
+ y = one-(e-x);
+ GET_FLOAT_WORD(i,y);
+ SET_FLOAT_WORD(y,i+(k<<23)); /* add k to y's exponent */
+ return y-one;
+ }
+ t = one;
+ if(k<23) {
+ int32_t i;
+ SET_FLOAT_WORD(t,0x3f800000 - (0x1000000>>k)); /* t=1-2^-k */
+ y = t-(e-x);
+ GET_FLOAT_WORD(i,y);
+ SET_FLOAT_WORD(y,i+(k<<23)); /* add k to y's exponent */
+ } else {
+ int32_t i;
+ SET_FLOAT_WORD(t,((0x7f-k)<<23)); /* 2^-k */
+ y = x-(e+t);
+ y += one;
+ GET_FLOAT_WORD(i,y);
+ SET_FLOAT_WORD(y,i+(k<<23)); /* add k to y's exponent */
+ }
+ }
+ return y;
+}
+weak_alias (__expm1f, expm1f)
diff --git a/sysdeps/ieee754/flt-32/s_fabsf.c b/sysdeps/ieee754/flt-32/s_fabsf.c
new file mode 100644
index 0000000..6b14513
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_fabsf.c
@@ -0,0 +1,39 @@
+/* s_fabsf.c -- float version of s_fabs.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_fabsf.c,v 1.4 1995/05/10 20:47:15 jtc Exp $";
+#endif
+
+/*
+ * fabsf(x) returns the absolute value of x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __fabsf(float x)
+#else
+ float __fabsf(x)
+ float x;
+#endif
+{
+ u_int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ SET_FLOAT_WORD(x,ix&0x7fffffff);
+ return x;
+}
+weak_alias (__fabsf, fabsf)
diff --git a/sysdeps/ieee754/flt-32/s_finitef.c b/sysdeps/ieee754/flt-32/s_finitef.c
new file mode 100644
index 0000000..baafc31
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_finitef.c
@@ -0,0 +1,39 @@
+/* s_finitef.c -- float version of s_finite.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_finitef.c,v 1.4 1995/05/10 20:47:18 jtc Exp $";
+#endif
+
+/*
+ * finitef(x) returns 1 is x is finite, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __finitef(float x)
+#else
+ int __finitef(x)
+ float x;
+#endif
+{
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ return (int)((u_int32_t)((ix&0x7fffffff)-0x7f800000)>>31);
+}
+weak_alias (__finitef, finitef)
diff --git a/sysdeps/ieee754/flt-32/s_floorf.c b/sysdeps/ieee754/flt-32/s_floorf.c
new file mode 100644
index 0000000..e8822b0
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_floorf.c
@@ -0,0 +1,71 @@
+/* s_floorf.c -- float version of s_floor.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_floorf.c,v 1.4 1995/05/10 20:47:22 jtc Exp $";
+#endif
+
+/*
+ * floorf(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to floorf(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float huge = 1.0e30;
+#else
+static float huge = 1.0e30;
+#endif
+
+#ifdef __STDC__
+ float __floorf(float x)
+#else
+ float __floorf(x)
+ float x;
+#endif
+{
+ int32_t i0,j0;
+ u_int32_t i;
+ GET_FLOAT_WORD(i0,x);
+ j0 = ((i0>>23)&0xff)-0x7f;
+ if(j0<23) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>(float)0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0>=0) {i0=0;}
+ else if((i0&0x7fffffff)!=0)
+ { i0=0xbf800000;}
+ }
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) return x; /* x is integral */
+ if(huge+x>(float)0.0) { /* raise inexact flag */
+ if(i0<0) i0 += (0x00800000)>>j0;
+ i0 &= (~i);
+ }
+ }
+ } else {
+ if(j0==0x80) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ }
+ SET_FLOAT_WORD(x,i0);
+ return x;
+}
+weak_alias (__floorf, floorf)
diff --git a/sysdeps/ieee754/flt-32/s_fpclassifyf.c b/sysdeps/ieee754/flt-32/s_fpclassifyf.c
new file mode 100644
index 0000000..a6b35cf
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_fpclassifyf.c
@@ -0,0 +1,42 @@
+/* Return classification value corresponding to argument.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+int
+__fpclassifyf (float x)
+{
+ u_int32_t wx;
+ int retval = FP_NORMAL;
+
+ GET_FLOAT_WORD (wx, x);
+ wx &= 0x7fffffff;
+ if (wx == 0)
+ retval = FP_ZERO;
+ else if (wx < 0x1000000)
+ retval = FP_SUBNORMAL;
+ else if (wx >= 0x7f800000)
+ retval = wx > 0x7f800000 ? FP_NAN : FP_INFINITE;
+
+ return retval;
+}
diff --git a/sysdeps/ieee754/flt-32/s_frexpf.c b/sysdeps/ieee754/flt-32/s_frexpf.c
new file mode 100644
index 0000000..a984457
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_frexpf.c
@@ -0,0 +1,53 @@
+/* s_frexpf.c -- float version of s_frexp.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_frexpf.c,v 1.5 1995/05/10 20:47:26 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+two25 = 3.3554432000e+07; /* 0x4c000000 */
+
+#ifdef __STDC__
+ float __frexpf(float x, int *eptr)
+#else
+ float __frexpf(x, eptr)
+ float x; int *eptr;
+#endif
+{
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ *eptr = 0;
+ if(ix>=0x7f800000||(ix==0)) return x; /* 0,inf,nan */
+ if (ix<0x00800000) { /* subnormal */
+ x *= two25;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ *eptr = -25;
+ }
+ *eptr += (ix>>23)-126;
+ hx = (hx&0x807fffff)|0x3f000000;
+ *(int*)&x = hx;
+ return x;
+}
+weak_alias (__frexpf, frexpf)
diff --git a/sysdeps/ieee754/flt-32/s_ilogbf.c b/sysdeps/ieee754/flt-32/s_ilogbf.c
new file mode 100644
index 0000000..e652b93
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_ilogbf.c
@@ -0,0 +1,44 @@
+/* s_ilogbf.c -- float version of s_ilogb.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_ilogbf.c,v 1.4 1995/05/10 20:47:31 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __ilogbf(float x)
+#else
+ int __ilogbf(x)
+ float x;
+#endif
+{
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ hx &= 0x7fffffff;
+ if(hx<0x00800000) {
+ if(hx==0)
+ return FP_ILOGB0; /* ilogb(0) = FP_ILOGB0 */
+ else /* subnormal x */
+ for (ix = -126,hx<<=8; hx>0; hx<<=1) ix -=1;
+ return ix;
+ }
+ else if (hx<0x7f800000) return (hx>>23)-127;
+ else return FP_ILOGBNAN;
+}
+weak_alias (__ilogbf, ilogbf)
diff --git a/sysdeps/ieee754/flt-32/s_isinff.c b/sysdeps/ieee754/flt-32/s_isinff.c
new file mode 100644
index 0000000..efc0935
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_isinff.c
@@ -0,0 +1,28 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_isinff.c,v 1.3 1995/05/11 23:20:21 jtc Exp $";
+#endif
+
+/*
+ * isinff(x) returns 1 if x is inf, -1 if x is -inf, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+int
+__isinff (float x)
+{
+ int32_t ix,t;
+ GET_FLOAT_WORD(ix,x);
+ t = ix & 0x7fffffff;
+ t ^= 0x7f800000;
+ t |= -t;
+ return ~(t >> 31) & (ix >> 30);
+}
+weak_alias (__isinff, isinff)
diff --git a/sysdeps/ieee754/flt-32/s_isnanf.c b/sysdeps/ieee754/flt-32/s_isnanf.c
new file mode 100644
index 0000000..9ec412f
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_isnanf.c
@@ -0,0 +1,41 @@
+/* s_isnanf.c -- float version of s_isnan.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_isnanf.c,v 1.4 1995/05/10 20:47:38 jtc Exp $";
+#endif
+
+/*
+ * isnanf(x) returns 1 is x is nan, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __isnanf(float x)
+#else
+ int __isnanf(x)
+ float x;
+#endif
+{
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ ix = 0x7f800000 - ix;
+ return (int)(((u_int32_t)(ix))>>31);
+}
+weak_alias (__isnanf, isnanf)
diff --git a/sysdeps/ieee754/flt-32/s_llrintf.c b/sysdeps/ieee754/flt-32/s_llrintf.c
new file mode 100644
index 0000000..a812377
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_llrintf.c
@@ -0,0 +1,78 @@
+/* Round argument to nearest integral value according to current rounding
+ direction.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+static const double two23[2] =
+{
+ 8.3886080000e+06, /* 0x4B000000 */
+ -8.3886080000e+06, /* 0xCB000000 */
+};
+
+
+long long int
+__llrintf (float x)
+{
+ int32_t j0;
+ u_int32_t i0;
+ volatile float w;
+ float t;
+ long long int result;
+ int sx;
+
+ GET_FLOAT_WORD (i0, x);
+
+ sx = i0 >> 31;
+ j0 = ((i0 >> 23) & 0xff) - 0x7f;
+ i0 &= 0x7fffff;
+ i0 |= 0x800000;
+
+ if (j0 < (int32_t) (sizeof (long long int) * 8) - 1)
+ {
+ if (j0 < -1)
+ return 0;
+ else if (j0 >= 23)
+ result = (long long int) i0 << (j0 - 23);
+ else
+ {
+ w = two23[sx] + x;
+ t = w - two23[sx];
+ GET_FLOAT_WORD (i0, t);
+ j0 = ((i0 >> 23) & 0xff) - 0x7f;
+ i0 &= 0x7fffff;
+ i0 |= 0x800000;
+
+ result = i0 >> (23 - j0);
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long long int) x;
+ }
+
+ return sx ? -result : result;
+}
+
+weak_alias (__llrintf, llrintf)
diff --git a/sysdeps/ieee754/flt-32/s_llroundf.c b/sysdeps/ieee754/flt-32/s_llroundf.c
new file mode 100644
index 0000000..9aad81f
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_llroundf.c
@@ -0,0 +1,63 @@
+/* Round float value to long long int.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+long long int
+__llroundf (float x)
+{
+ int32_t j0;
+ u_int32_t i;
+ long long int result;
+ int sign;
+
+ GET_FLOAT_WORD (i, x);
+ j0 = ((i >> 23) & 0xff) - 0x7f;
+ sign = (i & 0x80000000) != 0 ? -1 : 1;
+ i &= 0x7fffff;
+ i |= 0x800000;
+
+ if (j0 < (int32_t) (8 * sizeof (long long int)) - 1)
+ {
+ if (j0 < 0)
+ return j0 < -1 ? 0 : sign;
+ else if (j0 >= 23)
+ result = (long long int) i << (j0 - 23);
+ else
+ {
+ i += 0x400000 >> j0;
+
+ result = i >> (23 - j0);
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long long int) x;
+ }
+
+ return sign * result;
+}
+
+weak_alias (__llroundf, llroundf)
diff --git a/sysdeps/ieee754/flt-32/s_log1pf.c b/sysdeps/ieee754/flt-32/s_log1pf.c
new file mode 100644
index 0000000..bd3d576
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_log1pf.c
@@ -0,0 +1,115 @@
+/* s_log1pf.c -- float version of s_log1p.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_log1pf.c,v 1.4 1995/05/10 20:47:48 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
+ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
+two25 = 3.355443200e+07, /* 0x4c000000 */
+Lp1 = 6.6666668653e-01, /* 3F2AAAAB */
+Lp2 = 4.0000000596e-01, /* 3ECCCCCD */
+Lp3 = 2.8571429849e-01, /* 3E924925 */
+Lp4 = 2.2222198546e-01, /* 3E638E29 */
+Lp5 = 1.8183572590e-01, /* 3E3A3325 */
+Lp6 = 1.5313838422e-01, /* 3E1CD04F */
+Lp7 = 1.4798198640e-01; /* 3E178897 */
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float __log1pf(float x)
+#else
+ float __log1pf(x)
+ float x;
+#endif
+{
+ float hfsq,f,c,s,z,R,u;
+ int32_t k,hx,hu,ax;
+
+ GET_FLOAT_WORD(hx,x);
+ ax = hx&0x7fffffff;
+
+ k = 1;
+ if (hx < 0x3ed413d7) { /* x < 0.41422 */
+ if(ax>=0x3f800000) { /* x <= -1.0 */
+ if(x==(float)-1.0) return -two25/(x-x); /* log1p(-1)=+inf */
+ else return (x-x)/(x-x); /* log1p(x<-1)=NaN */
+ }
+ if(ax<0x31000000) { /* |x| < 2**-29 */
+ if(two25+x>zero /* raise inexact */
+ &&ax<0x24800000) /* |x| < 2**-54 */
+ return x;
+ else
+ return x - x*x*(float)0.5;
+ }
+ if(hx>0||hx<=((int32_t)0xbe95f61f)) {
+ k=0;f=x;hu=1;} /* -0.2929<x<0.41422 */
+ }
+ if (hx >= 0x7f800000) return x+x;
+ if(k!=0) {
+ if(hx<0x5a000000) {
+ u = (float)1.0+x;
+ GET_FLOAT_WORD(hu,u);
+ k = (hu>>23)-127;
+ /* correction term */
+ c = (k>0)? (float)1.0-(u-x):x-(u-(float)1.0);
+ c /= u;
+ } else {
+ u = x;
+ GET_FLOAT_WORD(hu,u);
+ k = (hu>>23)-127;
+ c = 0;
+ }
+ hu &= 0x007fffff;
+ if(hu<0x3504f7) {
+ SET_FLOAT_WORD(u,hu|0x3f800000);/* normalize u */
+ } else {
+ k += 1;
+ SET_FLOAT_WORD(u,hu|0x3f000000); /* normalize u/2 */
+ hu = (0x00800000-hu)>>2;
+ }
+ f = u-(float)1.0;
+ }
+ hfsq=(float)0.5*f*f;
+ if(hu==0) { /* |f| < 2**-20 */
+ if(f==zero) {
+ if(k==0) return zero;
+ else {c += k*ln2_lo; return k*ln2_hi+c;}
+ }
+ R = hfsq*((float)1.0-(float)0.66666666666666666*f);
+ if(k==0) return f-R; else
+ return k*ln2_hi-((R-(k*ln2_lo+c))-f);
+ }
+ s = f/((float)2.0+f);
+ z = s*s;
+ R = z*(Lp1+z*(Lp2+z*(Lp3+z*(Lp4+z*(Lp5+z*(Lp6+z*Lp7))))));
+ if(k==0) return f-(hfsq-s*(hfsq+R)); else
+ return k*ln2_hi-((hfsq-(s*(hfsq+R)+(k*ln2_lo+c)))-f);
+}
+weak_alias (__log1pf, log1pf)
diff --git a/sysdeps/ieee754/flt-32/s_log2f.c b/sysdeps/ieee754/flt-32/s_log2f.c
new file mode 100644
index 0000000..2377acd
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_log2f.c
@@ -0,0 +1,91 @@
+/* e_logf.c -- float version of e_log.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ * adapted for log2 by Ulrich Drepper <drepper@cygnus.com>
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+ln2 = 0.69314718055994530942,
+two25 = 3.355443200e+07, /* 0x4c000000 */
+Lg1 = 6.6666668653e-01, /* 3F2AAAAB */
+Lg2 = 4.0000000596e-01, /* 3ECCCCCD */
+Lg3 = 2.8571429849e-01, /* 3E924925 */
+Lg4 = 2.2222198546e-01, /* 3E638E29 */
+Lg5 = 1.8183572590e-01, /* 3E3A3325 */
+Lg6 = 1.5313838422e-01, /* 3E1CD04F */
+Lg7 = 1.4798198640e-01; /* 3E178897 */
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float __log2f(float x)
+#else
+ float __log2f(x)
+ float x;
+#endif
+{
+ float hfsq,f,s,z,R,w,t1,t2,dk;
+ int32_t k,ix,i,j;
+
+ GET_FLOAT_WORD(ix,x);
+
+ k=0;
+ if (ix < 0x00800000) { /* x < 2**-126 */
+ if ((ix&0x7fffffff)==0)
+ return -two25/(x-x); /* log(+-0)=-inf */
+ if (ix<0) return (x-x)/(x-x); /* log(-#) = NaN */
+ k -= 25; x *= two25; /* subnormal number, scale up x */
+ GET_FLOAT_WORD(ix,x);
+ }
+ if (ix >= 0x7f800000) return x+x;
+ k += (ix>>23)-127;
+ ix &= 0x007fffff;
+ i = (ix+(0x95f64<<3))&0x800000;
+ SET_FLOAT_WORD(x,ix|(i^0x3f800000)); /* normalize x or x/2 */
+ k += (i>>23);
+ dk = (float)k;
+ f = x-(float)1.0;
+ if((0x007fffff&(15+ix))<16) { /* |f| < 2**-20 */
+ if(f==zero) return dk;
+ R = f*f*((float)0.5-(float)0.33333333333333333*f);
+ return dk-(R-f)/ln2;
+ }
+ s = f/((float)2.0+f);
+ z = s*s;
+ i = ix-(0x6147a<<3);
+ w = z*z;
+ j = (0x6b851<<3)-ix;
+ t1= w*(Lg2+w*(Lg4+w*Lg6));
+ t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7)));
+ i |= j;
+ R = t2+t1;
+ if(i>0) {
+ hfsq=(float)0.5*f*f;
+ return dk-((hfsq-(s*(hfsq+R)))-f)/ln2;
+ } else {
+ return dk-((s*(f-R))-f)/ln2;
+ }
+}
+weak_alias (__log2f, log2f)
diff --git a/sysdeps/ieee754/flt-32/s_logbf.c b/sysdeps/ieee754/flt-32/s_logbf.c
new file mode 100644
index 0000000..ade892a
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_logbf.c
@@ -0,0 +1,40 @@
+/* s_logbf.c -- float version of s_logb.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_logbf.c,v 1.4 1995/05/10 20:47:51 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __logbf(float x)
+#else
+ float __logbf(x)
+ float x;
+#endif
+{
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff; /* high |x| */
+ if(ix==0) return (float)-1.0/fabsf(x);
+ if(ix>=0x7f800000) return x*x;
+ if((ix>>=23)==0) /* IEEE 754 logb */
+ return -126.0;
+ else
+ return (float) (ix-127);
+}
+weak_alias (__logbf, logbf)
diff --git a/sysdeps/ieee754/flt-32/s_lrintf.c b/sysdeps/ieee754/flt-32/s_lrintf.c
new file mode 100644
index 0000000..210ffec
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_lrintf.c
@@ -0,0 +1,78 @@
+/* Round argument to nearest integral value according to current rounding
+ direction.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+static const double two23[2] =
+{
+ 8.3886080000e+06, /* 0x4B000000 */
+ -8.3886080000e+06, /* 0xCB000000 */
+};
+
+
+long int
+__lrintf (float x)
+{
+ int32_t j0;
+ u_int32_t i0;
+ volatile float w;
+ float t;
+ long int result;
+ int sx;
+
+ GET_FLOAT_WORD (i0, x);
+
+ sx = i0 >> 31;
+ j0 = ((i0 >> 23) & 0xff) - 0x7f;
+ i0 &= 0x7fffff;
+ i0 |= 0x800000;
+
+ if (j0 < (int32_t) (sizeof (long int) * 8) - 1)
+ {
+ if (j0 < -1)
+ return 0;
+ else if (j0 >= 23)
+ result = (long int) i0 << (j0 - 23);
+ else
+ {
+ w = two23[sx] + x;
+ t = w - two23[sx];
+ GET_FLOAT_WORD (i0, t);
+ j0 = ((i0 >> 23) & 0xff) - 0x7f;
+ i0 &= 0x7fffff;
+ i0 |= 0x800000;
+
+ result = i0 >> (23 - j0);
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long int) x;
+ }
+
+ return sx ? -result : result;
+}
+
+weak_alias (__lrintf, lrintf)
diff --git a/sysdeps/ieee754/flt-32/s_lroundf.c b/sysdeps/ieee754/flt-32/s_lroundf.c
new file mode 100644
index 0000000..df1d242
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_lroundf.c
@@ -0,0 +1,63 @@
+/* Round float value to long int.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+long int
+__lroundf (float x)
+{
+ int32_t j0;
+ u_int32_t i;
+ long int result;
+ int sign;
+
+ GET_FLOAT_WORD (i, x);
+ j0 = ((i >> 23) & 0xff) - 0x7f;
+ sign = (i & 0x80000000) != 0 ? -1 : 1;
+ i &= 0x7fffff;
+ i |= 0x800000;
+
+ if (j0 < (int32_t) (8 * sizeof (long int)) - 1)
+ {
+ if (j0 < 0)
+ return j0 < -1 ? 0 : sign;
+ else if (j0 >= 23)
+ result = (long int) i << (j0 - 23);
+ else
+ {
+ i += 0x400000 >> j0;
+
+ result = i >> (23 - j0);
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long int) x;
+ }
+
+ return sign * result;
+}
+
+weak_alias (__lroundf, lroundf)
diff --git a/sysdeps/ieee754/flt-32/s_modff.c b/sysdeps/ieee754/flt-32/s_modff.c
new file mode 100644
index 0000000..e6c22b2
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_modff.c
@@ -0,0 +1,66 @@
+/* s_modff.c -- float version of s_modf.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_modff.c,v 1.4 1995/05/10 20:47:56 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0;
+#else
+static float one = 1.0;
+#endif
+
+#ifdef __STDC__
+ float __modff(float x, float *iptr)
+#else
+ float __modff(x, iptr)
+ float x,*iptr;
+#endif
+{
+ int32_t i0,j0;
+ u_int32_t i;
+ GET_FLOAT_WORD(i0,x);
+ j0 = ((i0>>23)&0xff)-0x7f; /* exponent of x */
+ if(j0<23) { /* integer part in x */
+ if(j0<0) { /* |x|<1 */
+ SET_FLOAT_WORD(*iptr,i0&0x80000000); /* *iptr = +-0 */
+ return x;
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) { /* x is integral */
+ u_int32_t ix;
+ *iptr = x;
+ GET_FLOAT_WORD(ix,x);
+ SET_FLOAT_WORD(x,ix&0x80000000); /* return +-0 */
+ return x;
+ } else {
+ SET_FLOAT_WORD(*iptr,i0&(~i));
+ return x - *iptr;
+ }
+ }
+ } else { /* no fraction part */
+ *iptr = x*one;
+ /* We must handle NaNs separately. */
+ if (j0 == 0x80 && (i0 & 0x7fffff))
+ return x*one;
+ SET_FLOAT_WORD(x,i0&0x80000000); /* return +-0 */
+ return x;
+ }
+}
+weak_alias (__modff, modff)
diff --git a/sysdeps/ieee754/flt-32/s_nearbyintf.c b/sysdeps/ieee754/flt-32/s_nearbyintf.c
new file mode 100644
index 0000000..7d6f262
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_nearbyintf.c
@@ -0,0 +1,77 @@
+/* s_rintf.c -- float version of s_rint.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+/* Adapted for use as nearbyint by Ulrich Drepper <drepper@cygnus.com>. */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+
+#include <fenv.h>
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+TWO23[2]={
+ 8.3886080000e+06, /* 0x4b000000 */
+ -8.3886080000e+06, /* 0xcb000000 */
+};
+
+#ifdef __STDC__
+ float __nearbyintf(float x)
+#else
+ float __nearbyintf(x)
+ float x;
+#endif
+{
+ fenv_t env;
+ int32_t i0,j0,sx;
+ u_int32_t i,i1;
+ float w,t;
+ GET_FLOAT_WORD(i0,x);
+ sx = (i0>>31)&1;
+ j0 = ((i0>>23)&0xff)-0x7f;
+ if(j0<23) {
+ if(j0<0) {
+ if((i0&0x7fffffff)==0) return x;
+ i1 = (i0&0x07fffff);
+ i0 &= 0xfff00000;
+ i0 |= ((i1|-i1)>>9)&0x400000;
+ SET_FLOAT_WORD(x,i0);
+ feholdexcept (&env);
+ w = TWO23[sx]+x;
+ t = w-TWO23[sx];
+ fesetenv (&env);
+ GET_FLOAT_WORD(i0,t);
+ SET_FLOAT_WORD(t,(i0&0x7fffffff)|(sx<<31));
+ return t;
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) return x; /* x is integral */
+ i>>=1;
+ if((i0&i)!=0) i0 = (i0&(~i))|((0x100000)>>j0);
+ }
+ } else {
+ if(j0==0x80) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ }
+ SET_FLOAT_WORD(x,i0);
+ feholdexcept (&env);
+ w = TWO23[sx]+x;
+ t = w-TWO23[sx];
+ fesetenv (&env);
+ return t;
+}
+weak_alias (__nearbyintf, nearbyintf)
diff --git a/sysdeps/ieee754/flt-32/s_nextafterf.c b/sysdeps/ieee754/flt-32/s_nextafterf.c
new file mode 100644
index 0000000..611742b
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_nextafterf.c
@@ -0,0 +1,71 @@
+/* s_nextafterf.c -- float version of s_nextafter.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_nextafterf.c,v 1.4 1995/05/10 20:48:01 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __nextafterf(float x, float y)
+#else
+ float __nextafterf(x,y)
+ float x,y;
+#endif
+{
+ int32_t hx,hy,ix,iy;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hy,y);
+ ix = hx&0x7fffffff; /* |x| */
+ iy = hy&0x7fffffff; /* |y| */
+
+ if((ix>0x7f800000) || /* x is nan */
+ (iy>0x7f800000)) /* y is nan */
+ return x+y;
+ if(x==y) return y; /* x=y, return y */
+ if(ix==0) { /* x == 0 */
+ SET_FLOAT_WORD(x,(hy&0x80000000)|1);/* return +-minsubnormal */
+ y = x*x;
+ if(y==x) return y; else return x; /* raise underflow flag */
+ }
+ if(hx>=0) { /* x > 0 */
+ if(hx>hy) { /* x > y, x -= ulp */
+ hx -= 1;
+ } else { /* x < y, x += ulp */
+ hx += 1;
+ }
+ } else { /* x < 0 */
+ if(hy>=0||hx>hy){ /* x < y, x -= ulp */
+ hx -= 1;
+ } else { /* x > y, x += ulp */
+ hx += 1;
+ }
+ }
+ hy = hx&0x7f800000;
+ if(hy>=0x7f800000) return x+x; /* overflow */
+ if(hy<0x00800000) { /* underflow */
+ y = x*x;
+ if(y!=x) { /* raise underflow flag */
+ SET_FLOAT_WORD(y,hx);
+ return y;
+ }
+ }
+ SET_FLOAT_WORD(x,hx);
+ return x;
+}
+weak_alias (__nextafterf, nextafterf)
diff --git a/sysdeps/ieee754/flt-32/s_remquof.c b/sysdeps/ieee754/flt-32/s_remquof.c
new file mode 100644
index 0000000..2ffd16c
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_remquof.c
@@ -0,0 +1,108 @@
+/* Compute remainder and a congruent to the quotient.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+static const float zero = 0.0;
+
+
+float
+__remquof (float x, float y, int *quo)
+{
+ int32_t hx,hy;
+ u_int32_t sx;
+ int cquo, qs;
+
+ GET_FLOAT_WORD (hx, x);
+ GET_FLOAT_WORD (hy, y);
+ sx = hx & 0x80000000;
+ qs = sx ^ (hy & 0x80000000);
+ hy &= 0x7fffffff;
+ hx &= 0x7fffffff;
+
+ /* Purge off exception values. */
+ if (hy == 0)
+ return (x * y) / (x * y); /* y = 0 */
+ if ((hx >= 0x7f800000) /* x not finite */
+ || (hy > 0x7f800000)) /* y is NaN */
+ return (x * y) / (x * y);
+
+ if (hy <= 0x7dffffff)
+ x = __ieee754_fmodf (x, 8 * y); /* now x < 8y */
+
+ if ((hx - hy) == 0)
+ {
+ *quo = qs ? -1 : 1;
+ return zero * x;
+ }
+
+ x = fabsf (x);
+ y = fabsf (y);
+ cquo = 0;
+
+ if (x >= 4 * y)
+ {
+ x -= 4 * y;
+ cquo += 4;
+ }
+ if (x >= 2 * y)
+ {
+ x -= 2 * y;
+ cquo += 2;
+ }
+
+ if (hy < 0x01000000)
+ {
+ if (x + x > y)
+ {
+ x -= y;
+ ++cquo;
+ if (x + x >= y)
+ {
+ x -= y;
+ ++cquo;
+ }
+ }
+ }
+ else
+ {
+ float y_half = 0.5 * y;
+ if (x > y_half)
+ {
+ x -= y;
+ ++cquo;
+ if (x >= y_half)
+ {
+ x -= y;
+ ++cquo;
+ }
+ }
+ }
+
+ *quo = qs ? -cquo : cquo;
+
+ if (sx)
+ x = -x;
+ return x;
+}
+weak_alias (__remquof, remquof)
diff --git a/sysdeps/ieee754/flt-32/s_rintf.c b/sysdeps/ieee754/flt-32/s_rintf.c
new file mode 100644
index 0000000..4e5b409
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_rintf.c
@@ -0,0 +1,72 @@
+/* s_rintf.c -- float version of s_rint.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_rintf.c,v 1.4 1995/05/10 20:48:06 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+TWO23[2]={
+ 8.3886080000e+06, /* 0x4b000000 */
+ -8.3886080000e+06, /* 0xcb000000 */
+};
+
+#ifdef __STDC__
+ float __rintf(float x)
+#else
+ float __rintf(x)
+ float x;
+#endif
+{
+ int32_t i0,j0,sx;
+ u_int32_t i,i1;
+ float w,t;
+ GET_FLOAT_WORD(i0,x);
+ sx = (i0>>31)&1;
+ j0 = ((i0>>23)&0xff)-0x7f;
+ if(j0<23) {
+ if(j0<0) {
+ if((i0&0x7fffffff)==0) return x;
+ i1 = (i0&0x07fffff);
+ i0 &= 0xfff00000;
+ i0 |= ((i1|-i1)>>9)&0x400000;
+ SET_FLOAT_WORD(x,i0);
+ w = TWO23[sx]+x;
+ t = w-TWO23[sx];
+ GET_FLOAT_WORD(i0,t);
+ SET_FLOAT_WORD(t,(i0&0x7fffffff)|(sx<<31));
+ return t;
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) return x; /* x is integral */
+ i>>=1;
+ if((i0&i)!=0) i0 = (i0&(~i))|((0x100000)>>j0);
+ }
+ } else {
+ if(j0==0x80) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ }
+ SET_FLOAT_WORD(x,i0);
+ w = TWO23[sx]+x;
+ return w-TWO23[sx];
+}
+weak_alias (__rintf, rintf)
diff --git a/sysdeps/ieee754/flt-32/s_roundf.c b/sysdeps/ieee754/flt-32/s_roundf.c
new file mode 100644
index 0000000..5dc0e36
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_roundf.c
@@ -0,0 +1,73 @@
+/* Round float to integer away from zero.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+static const float huge = 1.0e30;
+
+
+float
+__roundf (float x)
+{
+ int32_t i0, j0;
+
+ GET_FLOAT_WORD (i0, x);
+ j0 = ((i0 >> 23) & 0xff) - 0x7f;
+ if (j0 < 23)
+ {
+ if (j0 < 0)
+ {
+ if (huge + x > 0.0F)
+ {
+ i0 &= 0x80000000;
+ if (j0 == -1)
+ i0 |= 0x3f800000;
+ }
+ }
+ else
+ {
+ u_int32_t i = 0x007fffff >> j0;
+ if ((i0 & i) == 0)
+ /* X is integral. */
+ return x;
+ if (huge + x > 0.0F)
+ {
+ /* Raise inexact if x != 0. */
+ i0 += 0x00400000 >> j0;
+ i0 &= ~i;
+ }
+ }
+ }
+ else
+ {
+ if (j0 == 0x80)
+ /* Inf or NaN. */
+ return x + x;
+ else
+ return x;
+ }
+
+ SET_FLOAT_WORD (x, i0);
+ return x;
+}
+weak_alias (__roundf, roundf)
diff --git a/sysdeps/ieee754/flt-32/s_scalblnf.c b/sysdeps/ieee754/flt-32/s_scalblnf.c
new file mode 100644
index 0000000..4ed4873
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_scalblnf.c
@@ -0,0 +1,63 @@
+/* s_scalbnf.c -- float version of s_scalbn.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_scalbnf.c,v 1.4 1995/05/10 20:48:10 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+two25 = 3.355443200e+07, /* 0x4c000000 */
+twom25 = 2.9802322388e-08, /* 0x33000000 */
+huge = 1.0e+30,
+tiny = 1.0e-30;
+
+#ifdef __STDC__
+ float __scalblnf (float x, long int n)
+#else
+ float __scalblnf (x,n)
+ float x; long int n;
+#endif
+{
+ int32_t k,ix;
+ GET_FLOAT_WORD(ix,x);
+ k = (ix&0x7f800000)>>23; /* extract exponent */
+ if (k==0) { /* 0 or subnormal x */
+ if ((ix&0x7fffffff)==0) return x; /* +-0 */
+ x *= two25;
+ GET_FLOAT_WORD(ix,x);
+ k = ((ix&0x7f800000)>>23) - 25;
+ }
+ if (k==0xff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (n> 50000 || k > 0xfe)
+ return huge*copysignf(huge,x); /* overflow */
+ if (n< -50000)
+ return tiny*copysignf(tiny,x); /*underflow*/
+ if (k > 0) /* normal result */
+ {SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23)); return x;}
+ if (k <= -25)
+ return tiny*copysignf(tiny,x); /*underflow*/
+ k += 25; /* subnormal result */
+ SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23));
+ return x*twom25;
+}
+weak_alias (__scalblnf, scalblnf)
diff --git a/sysdeps/ieee754/flt-32/s_scalbnf.c b/sysdeps/ieee754/flt-32/s_scalbnf.c
new file mode 100644
index 0000000..11b77bd
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_scalbnf.c
@@ -0,0 +1,63 @@
+/* s_scalbnf.c -- float version of s_scalbn.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_scalbnf.c,v 1.4 1995/05/10 20:48:10 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+two25 = 3.355443200e+07, /* 0x4c000000 */
+twom25 = 2.9802322388e-08, /* 0x33000000 */
+huge = 1.0e+30,
+tiny = 1.0e-30;
+
+#ifdef __STDC__
+ float __scalbnf (float x, int n)
+#else
+ float __scalbnf (x,n)
+ float x; int n;
+#endif
+{
+ int32_t k,ix;
+ GET_FLOAT_WORD(ix,x);
+ k = (ix&0x7f800000)>>23; /* extract exponent */
+ if (k==0) { /* 0 or subnormal x */
+ if ((ix&0x7fffffff)==0) return x; /* +-0 */
+ x *= two25;
+ GET_FLOAT_WORD(ix,x);
+ k = ((ix&0x7f800000)>>23) - 25;
+ }
+ if (k==0xff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (n> 50000 || k > 0xfe)
+ return huge*copysignf(huge,x); /* overflow */
+ if (n< -50000)
+ return tiny*copysignf(tiny,x); /*underflow*/
+ if (k > 0) /* normal result */
+ {SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23)); return x;}
+ if (k <= -25)
+ return tiny*copysignf(tiny,x); /*underflow*/
+ k += 25; /* subnormal result */
+ SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23));
+ return x*twom25;
+}
+weak_alias (__scalbnf, scalbnf)
diff --git a/sysdeps/ieee754/flt-32/s_signbitf.c b/sysdeps/ieee754/flt-32/s_signbitf.c
new file mode 100644
index 0000000..85418ea
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_signbitf.c
@@ -0,0 +1,32 @@
+/* Return nonzero value if number is negative.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+int
+__signbitf (float x)
+{
+ int32_t hx;
+
+ GET_FLOAT_WORD (hx, x);
+ return hx & 0x80000000;
+}
diff --git a/sysdeps/ieee754/flt-32/s_sincosf.c b/sysdeps/ieee754/flt-32/s_sincosf.c
new file mode 100644
index 0000000..0fd7b0c
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_sincosf.c
@@ -0,0 +1,74 @@
+/* Compute sine and cosine of argument.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+void
+__sincosf (float x, float *sinx, float *cosx)
+{
+ int32_t ix;
+
+ /* High word of x. */
+ GET_FLOAT_WORD (ix, x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if (ix <= 0x3f490fd8)
+ {
+ *sinx = __kernel_sinf (x, 0.0, 0);
+ *cosx = __kernel_cosf (x, 0.0);
+ }
+ else if (ix>=0x7ff00000)
+ {
+ /* sin(Inf or NaN) is NaN */
+ *sinx = *cosx = x - x;
+ }
+ else
+ {
+ /* Argument reduction needed. */
+ float y[2];
+ int n;
+
+ n = __ieee754_rem_pio2f (x, y);
+ switch (n & 3)
+ {
+ case 0:
+ *sinx = __kernel_sinf (y[0], y[1], 1);
+ *cosx = __kernel_cosf (y[0], y[1]);
+ break;
+ case 1:
+ *sinx = __kernel_cosf (y[0], y[1]);
+ *cosx = -__kernel_sinf (y[0], y[1], 1);
+ break;
+ case 2:
+ *sinx = -__kernel_sinf (y[0], y[1], 1);
+ *cosx = -__kernel_cosf (y[0], y[1]);
+ break;
+ default:
+ *sinx = -__kernel_cosf (y[0], y[1]);
+ *cosx = __kernel_sinf (y[0], y[1], 1);
+ break;
+ }
+ }
+}
+weak_alias (__sincosf, sincosf)
diff --git a/sysdeps/ieee754/flt-32/s_sinf.c b/sysdeps/ieee754/flt-32/s_sinf.c
new file mode 100644
index 0000000..76a7c21
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_sinf.c
@@ -0,0 +1,54 @@
+/* s_sinf.c -- float version of s_sin.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_sinf.c,v 1.4 1995/05/10 20:48:16 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __sinf(float x)
+#else
+ float __sinf(x)
+ float x;
+#endif
+{
+ float y[2],z=0.0;
+ int32_t n, ix;
+
+ GET_FLOAT_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3f490fd8) return __kernel_sinf(x,z,0);
+
+ /* sin(Inf or NaN) is NaN */
+ else if (ix>=0x7f800000) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2f(x,y);
+ switch(n&3) {
+ case 0: return __kernel_sinf(y[0],y[1],1);
+ case 1: return __kernel_cosf(y[0],y[1]);
+ case 2: return -__kernel_sinf(y[0],y[1],1);
+ default:
+ return -__kernel_cosf(y[0],y[1]);
+ }
+ }
+}
+weak_alias (__sinf, sinf)
diff --git a/sysdeps/ieee754/flt-32/s_tanf.c b/sysdeps/ieee754/flt-32/s_tanf.c
new file mode 100644
index 0000000..e8f6016
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_tanf.c
@@ -0,0 +1,49 @@
+/* s_tanf.c -- float version of s_tan.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_tanf.c,v 1.4 1995/05/10 20:48:20 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __tanf(float x)
+#else
+ float __tanf(x)
+ float x;
+#endif
+{
+ float y[2],z=0.0;
+ int32_t n, ix;
+
+ GET_FLOAT_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3f490fda) return __kernel_tanf(x,z,1);
+
+ /* tan(Inf or NaN) is NaN */
+ else if (ix>=0x7f800000) return x-x; /* NaN */
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2f(x,y);
+ return __kernel_tanf(y[0],y[1],1-((n&1)<<1)); /* 1 -- n even
+ -1 -- n odd */
+ }
+}
+weak_alias (__tanf, tanf)
diff --git a/sysdeps/ieee754/flt-32/s_tanhf.c b/sysdeps/ieee754/flt-32/s_tanhf.c
new file mode 100644
index 0000000..2a0ca9f
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_tanhf.c
@@ -0,0 +1,67 @@
+/* s_tanhf.c -- float version of s_tanh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_tanhf.c,v 1.4 1995/05/10 20:48:24 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one=1.0, two=2.0, tiny = 1.0e-30;
+#else
+static float one=1.0, two=2.0, tiny = 1.0e-30;
+#endif
+
+#ifdef __STDC__
+ float __tanhf(float x)
+#else
+ float __tanhf(x)
+ float x;
+#endif
+{
+ float t,z;
+ int32_t jx,ix;
+
+ GET_FLOAT_WORD(jx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7f800000) {
+ if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */
+ else return one/x-one; /* tanh(NaN) = NaN */
+ }
+
+ /* |x| < 22 */
+ if (ix < 0x41b00000) { /* |x|<22 */
+ if (ix == 0)
+ return x; /* x == +-0 */
+ if (ix<0x24000000) /* |x|<2**-55 */
+ return x*(one+x); /* tanh(small) = small */
+ if (ix>=0x3f800000) { /* |x|>=1 */
+ t = __expm1f(two*fabsf(x));
+ z = one - two/(t+two);
+ } else {
+ t = __expm1f(-two*fabsf(x));
+ z= -t/(t+two);
+ }
+ /* |x| > 22, return +-1 */
+ } else {
+ z = one - tiny; /* raised inexact flag */
+ }
+ return (jx>=0)? z: -z;
+}
+weak_alias (__tanhf, tanhf)
diff --git a/sysdeps/ieee754/flt-32/s_truncf.c b/sysdeps/ieee754/flt-32/s_truncf.c
new file mode 100644
index 0000000..feb6b6f
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_truncf.c
@@ -0,0 +1,52 @@
+/* Truncate argument to nearest integral value not larger than the argument.
+ Copyright (C) 1997, 1998 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+float
+__truncf (float x)
+{
+ int32_t i0, j0;
+ int sx;
+
+ GET_FLOAT_WORD (i0, x);
+ sx = i0 & 0x80000000;
+ j0 = ((i0 >> 23) & 0xff) - 0x7f;
+ if (j0 < 23)
+ {
+ if (j0 < 0)
+ /* The magnitude of the number is < 1 so the result is +-0. */
+ SET_FLOAT_WORD (x, sx);
+ else
+ SET_FLOAT_WORD (x, sx | (i0 & ~(0x007fffff >> j0)));
+ }
+ else
+ {
+ if (j0 == 0x80)
+ /* x is inf or NaN. */
+ return x + x;
+ }
+
+ return x;
+}
+weak_alias (__truncf, truncf)
diff --git a/sysdeps/ieee754/flt-32/t_exp2f.h b/sysdeps/ieee754/flt-32/t_exp2f.h
new file mode 100644
index 0000000..e15d157
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/t_exp2f.h
@@ -0,0 +1,352 @@
+/* Accurate tables for exp2f().
+ Copyright (C) 1998 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Geoffrey Keating <geoffk@ozemail.com.au>
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+/* This table has the property that, for all integers -128 <= i <= 127,
+ exp(i/256.0 + __exp2f_deltatable[i-128]) == __exp2f_atable[i+128] + r
+ for some -2^-35 < r < 2^-35 (abs(r) < 2^-36 if i <= 0); and that
+ __exp2f_deltatable[i+128] == t * 2^-30
+ for integer t so that abs(t) <= 43447 * 2^0. */
+
+#define W30 (9.31322575e-10)
+static const float __exp2f_deltatable[256] = {
+ -810*W30, 283*W30, -1514*W30, 1304*W30,
+ -1148*W30, -98*W30, -744*W30, -156*W30,
+ -419*W30, -155*W30, 474*W30, 167*W30,
+ -1984*W30, -826*W30, 692*W30, 781*W30,
+ -578*W30, -411*W30, -129*W30, -1500*W30,
+ 654*W30, -141*W30, -816*W30, -53*W30,
+ 148*W30, 493*W30, -2214*W30, 760*W30,
+ 260*W30, 750*W30, -1300*W30, 1424*W30,
+ -1445*W30, -339*W30, -680*W30, -349*W30,
+ -922*W30, 531*W30, 193*W30, -2892*W30,
+ 290*W30, -2145*W30, -276*W30, 485*W30,
+ -695*W30, 215*W30, -7093*W30, 412*W30,
+ -4596*W30, 367*W30, 592*W30, -615*W30,
+ -97*W30, -1066*W30, 972*W30, -226*W30,
+ -625*W30, -374*W30, -5647*W30, -180*W30,
+ 20349*W30, -447*W30, 111*W30, -4164*W30,
+ -87*W30, -21*W30, -251*W30, 66*W30,
+ -517*W30, 2093*W30, -263*W30, 182*W30,
+ -601*W30, 475*W30, -483*W30, -1251*W30,
+ -373*W30, 1471*W30, -92*W30, -215*W30,
+ -97*W30, -190*W30, 0*W30, -290*W30,
+ -2647*W30, 1940*W30, -582*W30, 28*W30,
+ 833*W30, 1493*W30, 34*W30, 321*W30,
+ 3327*W30, -35*W30, 177*W30, -135*W30,
+ -796*W30, -428*W30, 129*W30, 9332*W30,
+ -12*W30, -69*W30, -1743*W30, 6508*W30,
+ -60*W30, 359*W30, 43447*W30, 15*W30,
+ -23*W30, -305*W30, -375*W30, -652*W30,
+ 667*W30, 269*W30, -1575*W30, 185*W30,
+ -329*W30, 200*W30, 6002*W30, 163*W30,
+ -647*W30, 19*W30, -603*W30, -755*W30,
+ 742*W30, -438*W30, 3587*W30, 2560*W30,
+ 0*W30, -520*W30, -241*W30, -299*W30,
+ -1270*W30, -991*W30, -1138*W30, 255*W30,
+ -1192*W30, 1722*W30, 1023*W30, 3700*W30,
+ -1388*W30, -1551*W30, -2549*W30, 27*W30,
+ 282*W30, 673*W30, 113*W30, 1561*W30,
+ 72*W30, 873*W30, 87*W30, -395*W30,
+ -433*W30, 629*W30, 3440*W30, -284*W30,
+ -592*W30, -103*W30, -46*W30, -3844*W30,
+ 1712*W30, 303*W30, 1555*W30, -631*W30,
+ -1400*W30, -961*W30, -854*W30, -276*W30,
+ 407*W30, 833*W30, -345*W30, -1501*W30,
+ 121*W30, -1581*W30, 400*W30, 150*W30,
+ 1224*W30, -139*W30, -563*W30, 879*W30,
+ 933*W30, 2939*W30, 788*W30, 211*W30,
+ 530*W30, -192*W30, 706*W30, -13347*W30,
+ 1065*W30, 3*W30, 111*W30, -208*W30,
+ -360*W30, -532*W30, -291*W30, 483*W30,
+ 987*W30, -33*W30, -1373*W30, -166*W30,
+ -1174*W30, -3955*W30, 1601*W30, -280*W30,
+ 1405*W30, 600*W30, -1659*W30, -23*W30,
+ 390*W30, 449*W30, 570*W30, -13143*W30,
+ -9*W30, -1646*W30, 1201*W30, 294*W30,
+ 2181*W30, -1173*W30, 1388*W30, -4504*W30,
+ 190*W30, -2304*W30, 211*W30, 239*W30,
+ 48*W30, -817*W30, 1018*W30, 1828*W30,
+ -663*W30, 1408*W30, 408*W30, -36*W30,
+ 1295*W30, -230*W30, 1341*W30, 9*W30,
+ 40*W30, 705*W30, 186*W30, 376*W30,
+ 557*W30, 5866*W30, 363*W30, -1558*W30,
+ 718*W30, 669*W30, 1369*W30, -2972*W30,
+ -468*W30, -121*W30, -219*W30, 667*W30,
+ 29954*W30, 366*W30, 48*W30, -203*W30
+};
+
+static const float __exp2f_atable[256] /* __attribute__((mode(SF))) */ = {
+ 0.707106411447, /* 0x0.b504ecfff */
+ 0.709024071690, /* 0x0.b58299fff */
+ 0.710945606239, /* 0x0.b60088000 */
+ 0.712874472142, /* 0x0.b67ef1000 */
+ 0.714806139464, /* 0x0.b6fd88fff */
+ 0.716744661340, /* 0x0.b77c94000 */
+ 0.718687653549, /* 0x0.b7fbea000 */
+ 0.720636486992, /* 0x0.b87ba1fff */
+ 0.722590208040, /* 0x0.b8fbabfff */
+ 0.724549472323, /* 0x0.b97c12fff */
+ 0.726514220228, /* 0x0.b9fcd5fff */
+ 0.728483855735, /* 0x0.ba7deb000 */
+ 0.730457961549, /* 0x0.baff4afff */
+ 0.732438981522, /* 0x0.bb811efff */
+ 0.734425544748, /* 0x0.bc0350000 */
+ 0.736416816713, /* 0x0.bc85d0000 */
+ 0.738412797450, /* 0x0.bd089efff */
+ 0.740414917465, /* 0x0.bd8bd4fff */
+ 0.742422521111, /* 0x0.be0f66fff */
+ 0.744434773914, /* 0x0.be9346fff */
+ 0.746454179287, /* 0x0.bf179f000 */
+ 0.748477637755, /* 0x0.bf9c3afff */
+ 0.750506639473, /* 0x0.c02133fff */
+ 0.752541840064, /* 0x0.c0a694fff */
+ 0.754582285889, /* 0x0.c12c4e000 */
+ 0.756628334525, /* 0x0.c1b265000 */
+ 0.758678436269, /* 0x0.c238bffff */
+ 0.760736882681, /* 0x0.c2bfa6fff */
+ 0.762799203401, /* 0x0.c346cf000 */
+ 0.764867603790, /* 0x0.c3ce5d000 */
+ 0.766940355298, /* 0x0.c45633fff */
+ 0.769021093841, /* 0x0.c4de90fff */
+ 0.771104693409, /* 0x0.c5671dfff */
+ 0.773195922364, /* 0x0.c5f02afff */
+ 0.775292098512, /* 0x0.c6798afff */
+ 0.777394294745, /* 0x0.c70350000 */
+ 0.779501736166, /* 0x0.c78d6d000 */
+ 0.781615912910, /* 0x0.c817fafff */
+ 0.783734917628, /* 0x0.c8a2d9fff */
+ 0.785858273516, /* 0x0.c92e02000 */
+ 0.787990570071, /* 0x0.c9b9c0000 */
+ 0.790125787245, /* 0x0.ca45aefff */
+ 0.792268991467, /* 0x0.cad223fff */
+ 0.794417440881, /* 0x0.cb5ef0fff */
+ 0.796570718287, /* 0x0.cbec0efff */
+ 0.798730909811, /* 0x0.cc79a0fff */
+ 0.800892710672, /* 0x0.cd074dfff */
+ 0.803068041795, /* 0x0.cd95ddfff */
+ 0.805242776881, /* 0x0.ce2464000 */
+ 0.807428598393, /* 0x0.ceb3a3fff */
+ 0.809617877002, /* 0x0.cf431dfff */
+ 0.811812341211, /* 0x0.cfd2eefff */
+ 0.814013659956, /* 0x0.d06333000 */
+ 0.816220164311, /* 0x0.d0f3ce000 */
+ 0.818434238424, /* 0x0.d184e7fff */
+ 0.820652604094, /* 0x0.d21649fff */
+ 0.822877407074, /* 0x0.d2a818000 */
+ 0.825108587751, /* 0x0.d33a51000 */
+ 0.827342867839, /* 0x0.d3ccbdfff */
+ 0.829588949684, /* 0x0.d45ff1000 */
+ 0.831849217401, /* 0x0.d4f411fff */
+ 0.834093391880, /* 0x0.d58724fff */
+ 0.836355149750, /* 0x0.d61b5f000 */
+ 0.838620424257, /* 0x0.d6afd3fff */
+ 0.840896368027, /* 0x0.d744fc000 */
+ 0.843176305293, /* 0x0.d7da66fff */
+ 0.845462262643, /* 0x0.d87037000 */
+ 0.847754716864, /* 0x0.d90673fff */
+ 0.850052893157, /* 0x0.d99d10fff */
+ 0.852359056469, /* 0x0.da3433fff */
+ 0.854668736446, /* 0x0.dacb91fff */
+ 0.856986224651, /* 0x0.db6373000 */
+ 0.859309315673, /* 0x0.dbfbb1fff */
+ 0.861639738080, /* 0x0.dc946bfff */
+ 0.863975346095, /* 0x0.dd2d7d000 */
+ 0.866317391394, /* 0x0.ddc6f9fff */
+ 0.868666708472, /* 0x0.de60f1000 */
+ 0.871022939695, /* 0x0.defb5c000 */
+ 0.873383641229, /* 0x0.df9611fff */
+ 0.875751554968, /* 0x0.e03141000 */
+ 0.878126025200, /* 0x0.e0ccde000 */
+ 0.880506813521, /* 0x0.e168e4fff */
+ 0.882894217966, /* 0x0.e2055afff */
+ 0.885287821299, /* 0x0.e2a239000 */
+ 0.887686729423, /* 0x0.e33f6ffff */
+ 0.890096127973, /* 0x0.e3dd56fff */
+ 0.892507970338, /* 0x0.e47b67000 */
+ 0.894928157336, /* 0x0.e51a03000 */
+ 0.897355020043, /* 0x0.e5b90efff */
+ 0.899788379682, /* 0x0.e65888000 */
+ 0.902227103705, /* 0x0.e6f85afff */
+ 0.904673457151, /* 0x0.e798ae000 */
+ 0.907128036008, /* 0x0.e8398afff */
+ 0.909585535528, /* 0x0.e8da99000 */
+ 0.912051796915, /* 0x0.e97c3a000 */
+ 0.914524436003, /* 0x0.ea1e46000 */
+ 0.917003571999, /* 0x0.eac0bf000 */
+ 0.919490039339, /* 0x0.eb63b2fff */
+ 0.921983361257, /* 0x0.ec071a000 */
+ 0.924488604054, /* 0x0.ecab48fff */
+ 0.926989555360, /* 0x0.ed4f30000 */
+ 0.929502844812, /* 0x0.edf3e6000 */
+ 0.932021975503, /* 0x0.ee98fdfff */
+ 0.934553921208, /* 0x0.ef3eecfff */
+ 0.937083780759, /* 0x0.efe4b8fff */
+ 0.939624726786, /* 0x0.f08b3f000 */
+ 0.942198514924, /* 0x0.f133ebfff */
+ 0.944726586343, /* 0x0.f1d99a000 */
+ 0.947287976728, /* 0x0.f28176fff */
+ 0.949856162070, /* 0x0.f329c5fff */
+ 0.952431440345, /* 0x0.f3d28bfff */
+ 0.955013573175, /* 0x0.f47bc5000 */
+ 0.957603693021, /* 0x0.f52584000 */
+ 0.960199773321, /* 0x0.f5cfa7000 */
+ 0.962801992906, /* 0x0.f67a31000 */
+ 0.965413510788, /* 0x0.f72556fff */
+ 0.968030691152, /* 0x0.f7d0dc000 */
+ 0.970655620084, /* 0x0.f87ce2fff */
+ 0.973290979849, /* 0x0.f92998fff */
+ 0.975926160805, /* 0x0.f9d64bfff */
+ 0.978571653370, /* 0x0.fa83ac000 */
+ 0.981225252139, /* 0x0.fb3193fff */
+ 0.983885228626, /* 0x0.fbdfe6fff */
+ 0.986552715296, /* 0x0.fc8eb7fff */
+ 0.989228487027, /* 0x0.fd3e14000 */
+ 0.991909801964, /* 0x0.fdedcd000 */
+ 0.994601726545, /* 0x0.fe9e38000 */
+ 0.997297704209, /* 0x0.ff4ee6fff */
+ 1.000000000000, /* 0x1.000000000 */
+ 1.002710938457, /* 0x1.00b1aa000 */
+ 1.005429744692, /* 0x1.0163d7ffe */
+ 1.008155703526, /* 0x1.02167dffe */
+ 1.010888457284, /* 0x1.02c995fff */
+ 1.013629436498, /* 0x1.037d38000 */
+ 1.016377568250, /* 0x1.043152000 */
+ 1.019134163841, /* 0x1.04e5f9ffe */
+ 1.021896362316, /* 0x1.059b00000 */
+ 1.024668931945, /* 0x1.0650b3ffe */
+ 1.027446627635, /* 0x1.0706be001 */
+ 1.030234098408, /* 0x1.07bd6bffe */
+ 1.033023953416, /* 0x1.087441ffe */
+ 1.035824656494, /* 0x1.092bce000 */
+ 1.038632392900, /* 0x1.09e3d0001 */
+ 1.041450142840, /* 0x1.0a9c79ffe */
+ 1.044273972530, /* 0x1.0b558a001 */
+ 1.047105550795, /* 0x1.0c0f1c001 */
+ 1.049944162390, /* 0x1.0cc924001 */
+ 1.052791833895, /* 0x1.0d83c4001 */
+ 1.055645227426, /* 0x1.0e3ec3fff */
+ 1.058507919326, /* 0x1.0efa60001 */
+ 1.061377286898, /* 0x1.0fb66bfff */
+ 1.064254641510, /* 0x1.1072fdffe */
+ 1.067140102389, /* 0x1.113018000 */
+ 1.070034146304, /* 0x1.11edc1fff */
+ 1.072937250162, /* 0x1.12ac04001 */
+ 1.075843691823, /* 0x1.136a7dfff */
+ 1.078760385496, /* 0x1.1429a3ffe */
+ 1.081685543070, /* 0x1.14e958000 */
+ 1.084618330005, /* 0x1.15a98c000 */
+ 1.087556362176, /* 0x1.166a18001 */
+ 1.090508937863, /* 0x1.172b98001 */
+ 1.093464612954, /* 0x1.17ed4bfff */
+ 1.096430182434, /* 0x1.18afa5ffe */
+ 1.099401354802, /* 0x1.19725e000 */
+ 1.102381587017, /* 0x1.1a35adfff */
+ 1.105370759965, /* 0x1.1af994000 */
+ 1.108367800686, /* 0x1.1bbdfdffe */
+ 1.111373305331, /* 0x1.1c82f6000 */
+ 1.114387035385, /* 0x1.1d4878001 */
+ 1.117408752440, /* 0x1.1e0e7ffff */
+ 1.120437502874, /* 0x1.1ed4fe000 */
+ 1.123474478729, /* 0x1.1f9c06000 */
+ 1.126521706601, /* 0x1.2063ba001 */
+ 1.129574775716, /* 0x1.212bd0001 */
+ 1.132638812065, /* 0x1.21f49e000 */
+ 1.135709524130, /* 0x1.22bddbffe */
+ 1.138789534565, /* 0x1.2387b5fff */
+ 1.141876101508, /* 0x1.2451fe000 */
+ 1.144971728301, /* 0x1.251cddffe */
+ 1.148077130296, /* 0x1.25e861ffe */
+ 1.151189923305, /* 0x1.26b462001 */
+ 1.154312610610, /* 0x1.278107ffe */
+ 1.157440662410, /* 0x1.284e08001 */
+ 1.160578370109, /* 0x1.291baa001 */
+ 1.163725256932, /* 0x1.29e9e6000 */
+ 1.166879892324, /* 0x1.2ab8a3ffe */
+ 1.170044302935, /* 0x1.2b8805fff */
+ 1.173205971694, /* 0x1.2c5739ffe */
+ 1.176397800428, /* 0x1.2d2867ffe */
+ 1.179586529747, /* 0x1.2df962001 */
+ 1.182784795737, /* 0x1.2ecafbffe */
+ 1.185991406414, /* 0x1.2f9d21ffe */
+ 1.189206838636, /* 0x1.306fdc001 */
+ 1.192430973067, /* 0x1.314328000 */
+ 1.195664167430, /* 0x1.32170c001 */
+ 1.198906540890, /* 0x1.32eb8a001 */
+ 1.202157497408, /* 0x1.33c098000 */
+ 1.205416083326, /* 0x1.349625fff */
+ 1.208683252332, /* 0x1.356c43fff */
+ 1.211961269402, /* 0x1.364318001 */
+ 1.215246438983, /* 0x1.371a64000 */
+ 1.218539118740, /* 0x1.37f22dffe */
+ 1.221847295770, /* 0x1.38cafc000 */
+ 1.225158572187, /* 0x1.39a3fdfff */
+ 1.228481650325, /* 0x1.3a7dc5ffe */
+ 1.231811761846, /* 0x1.3b5803fff */
+ 1.235149741144, /* 0x1.3c32c5ffe */
+ 1.238499879811, /* 0x1.3d0e53ffe */
+ 1.241858124726, /* 0x1.3dea69fff */
+ 1.245225191102, /* 0x1.3ec713fff */
+ 1.248601436624, /* 0x1.3fa458000 */
+ 1.251975655584, /* 0x1.40817a001 */
+ 1.255380749731, /* 0x1.4160a2001 */
+ 1.258783102010, /* 0x1.423f9bffe */
+ 1.262198328973, /* 0x1.431f6e000 */
+ 1.265619754780, /* 0x1.43ffa7fff */
+ 1.269052743928, /* 0x1.44e0a4001 */
+ 1.272490739830, /* 0x1.45c1f4000 */
+ 1.275942921659, /* 0x1.46a432001 */
+ 1.279397487615, /* 0x1.478697ffe */
+ 1.282870173427, /* 0x1.486a2dffe */
+ 1.286346316319, /* 0x1.494dfdffe */
+ 1.289836049094, /* 0x1.4a32b2001 */
+ 1.293333172770, /* 0x1.4b17e1ffe */
+ 1.296839594835, /* 0x1.4bfdadfff */
+ 1.300354957560, /* 0x1.4ce40fffe */
+ 1.303882122055, /* 0x1.4dcb38001 */
+ 1.307417988757, /* 0x1.4eb2f1ffe */
+ 1.310960650439, /* 0x1.4f9b1dfff */
+ 1.314516782746, /* 0x1.50842bfff */
+ 1.318079948424, /* 0x1.516daffff */
+ 1.321653246888, /* 0x1.5257de000 */
+ 1.325237751030, /* 0x1.5342c8001 */
+ 1.328829526907, /* 0x1.542e2c000 */
+ 1.332433700535, /* 0x1.551a5fffe */
+ 1.336045145966, /* 0x1.56070dffe */
+ 1.339667558645, /* 0x1.56f473ffe */
+ 1.343300342533, /* 0x1.57e287ffe */
+ 1.346941947961, /* 0x1.58d130001 */
+ 1.350594043714, /* 0x1.59c087ffe */
+ 1.354256033883, /* 0x1.5ab085fff */
+ 1.357932448365, /* 0x1.5ba175ffe */
+ 1.361609339707, /* 0x1.5c926dfff */
+ 1.365299344044, /* 0x1.5d8441ffe */
+ 1.369003057507, /* 0x1.5e76fc001 */
+ 1.372714757920, /* 0x1.5f6a3c000 */
+ 1.376437187179, /* 0x1.605e2fffe */
+ 1.380165219333, /* 0x1.615282001 */
+ 1.383909463864, /* 0x1.6247e3ffe */
+ 1.387661933907, /* 0x1.633dd0000 */
+ 1.391424179060, /* 0x1.64345fffe */
+ 1.395197510706, /* 0x1.652ba9fff */
+ 1.399006724329, /* 0x1.66254dffe */
+ 1.402773022651, /* 0x1.671c22000 */
+ 1.406576037403, /* 0x1.68155dfff */
+ 1.410389423392, /* 0x1.690f48001 */
+};
diff --git a/sysdeps/ieee754/flt-32/w_expf.c b/sysdeps/ieee754/flt-32/w_expf.c
new file mode 100644
index 0000000..ad38fac
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/w_expf.c
@@ -0,0 +1,59 @@
+/* w_expf.c -- float version of w_exp.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_expf.c,v 1.3 1995/05/10 20:48:53 jtc Exp $";
+#endif
+
+/*
+ * wrapper expf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+o_threshold= 8.8721679688e+01, /* 0x42b17180 */
+u_threshold= -1.0397208405e+02; /* 0xc2cff1b5 */
+
+#ifdef __STDC__
+ float __expf(float x) /* wrapper expf */
+#else
+ float __expf(x) /* wrapper expf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_expf(x);
+#else
+ float z;
+ z = __ieee754_expf(x);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(__finitef(x)) {
+ if(x>o_threshold)
+ /* exp overflow */
+ return (float)__kernel_standard((double)x,(double)x,106);
+ else if(x<u_threshold)
+ /* exp underflow */
+ return (float)__kernel_standard((double)x,(double)x,107);
+ }
+ return z;
+#endif
+}
+weak_alias (__expf, expf)
diff --git a/sysdeps/ieee754/k_standard.c b/sysdeps/ieee754/k_standard.c
new file mode 100644
index 0000000..2230065
--- /dev/null
+++ b/sysdeps/ieee754/k_standard.c
@@ -0,0 +1,943 @@
+/* @(#)k_standard.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: k_standard.c,v 1.6 1995/05/10 20:46:35 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+#include <errno.h>
+
+#include <assert.h>
+
+#ifndef _USE_WRITE
+#include <stdio.h> /* fputs(), stderr */
+#define WRITE2(u,v) fputs(u, stderr)
+#else /* !defined(_USE_WRITE) */
+#include <unistd.h> /* write */
+#define WRITE2(u,v) write(2, u, v)
+#undef fflush
+#endif /* !defined(_USE_WRITE) */
+
+/* XXX gcc versions until now don't delay the 0.0/0.0 division until
+ runtime but produce NaN at copile time. This is wrong since the
+ exceptions are not set correctly. */
+#if 0 && defined __STDC__
+static const double zero = 0.0; /* used as const */
+#else
+static double zero = 0.0; /* used as const */
+#endif
+
+/*
+ * Standard conformance (non-IEEE) on exception cases.
+ * Mapping:
+ * 1 -- acos(|x|>1)
+ * 2 -- asin(|x|>1)
+ * 3 -- atan2(+-0,+-0)
+ * 4 -- hypot overflow
+ * 5 -- cosh overflow
+ * 6 -- exp overflow
+ * 7 -- exp underflow
+ * 8 -- y0(0)
+ * 9 -- y0(-ve)
+ * 10-- y1(0)
+ * 11-- y1(-ve)
+ * 12-- yn(0)
+ * 13-- yn(-ve)
+ * 14-- lgamma(finite) overflow
+ * 15-- lgamma(-integer)
+ * 16-- log(0)
+ * 17-- log(x<0)
+ * 18-- log10(0)
+ * 19-- log10(x<0)
+ * 20-- pow(0.0,0.0)
+ * 21-- pow(x,y) overflow
+ * 22-- pow(x,y) underflow
+ * 23-- pow(0,negative)
+ * 24-- pow(neg,non-integral)
+ * 25-- sinh(finite) overflow
+ * 26-- sqrt(negative)
+ * 27-- fmod(x,0)
+ * 28-- remainder(x,0)
+ * 29-- acosh(x<1)
+ * 30-- atanh(|x|>1)
+ * 31-- atanh(|x|=1)
+ * 32-- scalb overflow
+ * 33-- scalb underflow
+ * 34-- j0(|x|>X_TLOSS)
+ * 35-- y0(x>X_TLOSS)
+ * 36-- j1(|x|>X_TLOSS)
+ * 37-- y1(x>X_TLOSS)
+ * 38-- jn(|x|>X_TLOSS, n)
+ * 39-- yn(x>X_TLOSS, n)
+ * 40-- tgamma(finite) overflow
+ * 41-- tgamma(-integer)
+ * 42-- pow(NaN,0.0)
+ * 43-- +0**neg
+ * 44-- exp2 overflow
+ * 45-- exp2 underflow
+ * 46-- exp10 overflow
+ * 47-- exp10 underflow
+ */
+
+
+#ifdef __STDC__
+ double __kernel_standard(double x, double y, int type)
+#else
+ double __kernel_standard(x,y,type)
+ double x,y; int type;
+#endif
+{
+ struct exception exc;
+#ifndef HUGE_VAL /* this is the only routine that uses HUGE_VAL */
+#define HUGE_VAL inf
+ double inf = 0.0;
+
+ SET_HIGH_WORD(inf,0x7ff00000); /* set inf to infinite */
+#endif
+
+#ifdef _USE_WRITE
+ (void) fflush(stdout);
+#endif
+ exc.arg1 = x;
+ exc.arg2 = y;
+ switch(type) {
+ case 1:
+ case 101:
+ case 201:
+ /* acos(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "acos" : (type < 200
+ ? "acosf" : "acosl");;
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = NAN;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if(_LIB_VERSION == _SVID_) {
+ (void) WRITE2("acos: DOMAIN error\n", 19);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 2:
+ case 102:
+ case 202:
+ /* asin(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "asin" : (type < 200
+ ? "asinf" : "asinl");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = NAN;
+ if(_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if(_LIB_VERSION == _SVID_) {
+ (void) WRITE2("asin: DOMAIN error\n", 19);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 3:
+ case 103:
+ case 203:
+ /* atan2(+-0,+-0) */
+ exc.arg1 = y;
+ exc.arg2 = x;
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "atan2" : (type < 200
+ ? "atan2f" : "atan2l");
+ assert (_LIB_VERSION == _SVID_);
+ exc.retval = HUGE;
+ if(_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if(_LIB_VERSION == _SVID_) {
+ (void) WRITE2("atan2: DOMAIN error\n", 20);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 4:
+ case 104:
+ case 204:
+ /* hypot(finite,finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "hypot" : (type < 200
+ ? "hypotf" : "hypotl");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+ case 5:
+ case 105:
+ case 205:
+ /* cosh(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "cosh" : (type < 200
+ ? "coshf" : "coshl");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+ case 6:
+ case 106:
+ case 206:
+ /* exp(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "exp" : (type < 200
+ ? "expf" : "expl");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+ case 7:
+ case 107:
+ case 207:
+ /* exp(finite) underflow */
+ exc.type = UNDERFLOW;
+ exc.name = type < 100 ? "exp" : (type < 200
+ ? "expf" : "expl");
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+ case 8:
+ case 108:
+ case 208:
+ /* y0(0) = -inf */
+ exc.type = DOMAIN; /* should be SING for IEEE */
+ exc.name = type < 100 ? "y0" : (type < 200 ? "y0f" : "y0l");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y0: DOMAIN error\n", 17);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 9:
+ case 109:
+ case 209:
+ /* y0(x<0) = NaN */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "y0" : (type < 200 ? "y0f" : "y0l");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y0: DOMAIN error\n", 17);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 10:
+ case 110:
+ case 210:
+ /* y1(0) = -inf */
+ exc.type = DOMAIN; /* should be SING for IEEE */
+ exc.name = type < 100 ? "y1" : (type < 200 ? "y1f" : "y1l");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y1: DOMAIN error\n", 17);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 11:
+ case 111:
+ case 211:
+ /* y1(x<0) = NaN */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "y1" : (type < 200 ? "y1f" : "y1l");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y1: DOMAIN error\n", 17);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 12:
+ case 112:
+ case 212:
+ /* yn(n,0) = -inf */
+ exc.type = DOMAIN; /* should be SING for IEEE */
+ exc.name = type < 100 ? "yn" : (type < 200 ? "ynf" : "ynl");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("yn: DOMAIN error\n", 17);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 13:
+ case 113:
+ case 213:
+ /* yn(x<0) = NaN */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "yn" : (type < 200 ? "ynf" : "ynl");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("yn: DOMAIN error\n", 17);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 14:
+ case 114:
+ case 214:
+ /* lgamma(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "lgamma" : (type < 200
+ ? "lgammaf" : "lgammal");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+ case 15:
+ case 115:
+ case 215:
+ /* lgamma(-integer) or lgamma(0) */
+ exc.type = SING;
+ exc.name = type < 100 ? "lgamma" : (type < 200
+ ? "lgammaf" : "lgammal");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("lgamma: SING error\n", 19);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 16:
+ case 116:
+ case 216:
+ /* log(0) */
+ exc.type = SING;
+ exc.name = type < 100 ? "log" : (type < 200 ? "logf" : "logl");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log: SING error\n", 16);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 17:
+ case 117:
+ case 217:
+ /* log(x<0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "log" : (type < 200 ? "logf" : "logl");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = NAN;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log: DOMAIN error\n", 18);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 18:
+ case 118:
+ case 218:
+ /* log10(0) */
+ exc.type = SING;
+ exc.name = type < 100 ? "log10" : (type < 200
+ ? "log10f" : "log10l");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log10: SING error\n", 18);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 19:
+ case 119:
+ case 219:
+ /* log10(x<0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "log10" : (type < 200
+ ? "log10f" : "log10l");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = NAN;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log10: DOMAIN error\n", 20);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 20:
+ case 120:
+ case 220:
+ /* pow(0.0,0.0) */
+ /* error only if _LIB_VERSION == _SVID_ */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
+ exc.retval = zero;
+ if (_LIB_VERSION != _SVID_) exc.retval = 1.0;
+ else if (!matherr(&exc)) {
+ (void) WRITE2("pow(0,0): DOMAIN error\n", 23);
+ __set_errno (EDOM);
+ }
+ break;
+ case 21:
+ case 121:
+ case 221:
+ /* pow(x,y) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
+ if (_LIB_VERSION == _SVID_) {
+ exc.retval = HUGE;
+ y *= 0.5;
+ if(x<zero&&__rint(y)!=y) exc.retval = -HUGE;
+ } else {
+ exc.retval = HUGE_VAL;
+ y *= 0.5;
+ if(x<zero&&__rint(y)!=y) exc.retval = -HUGE_VAL;
+ }
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+ case 22:
+ case 122:
+ case 222:
+ /* pow(x,y) underflow */
+ exc.type = UNDERFLOW;
+ exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+ case 23:
+ case 123:
+ case 223:
+ /* -0**neg */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = zero;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("pow(0,neg): DOMAIN error\n", 25);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 43:
+ case 143:
+ case 243:
+ /* +0**neg */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = zero;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("pow(0,neg): DOMAIN error\n", 25);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 24:
+ case 124:
+ case 224:
+ /* neg**non-integral */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = zero;
+ else
+ exc.retval = zero/zero; /* X/Open allow NaN */
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("neg**non-integral: DOMAIN error\n", 32);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 25:
+ case 125:
+ case 225:
+ /* sinh(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "sinh" : (type < 200
+ ? "sinhf" : "sinhl");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = ( (x>zero) ? HUGE : -HUGE);
+ else
+ exc.retval = ( (x>zero) ? HUGE_VAL : -HUGE_VAL);
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+ case 26:
+ case 126:
+ case 226:
+ /* sqrt(x<0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "sqrt" : (type < 200
+ ? "sqrtf" : "sqrtl");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = zero;
+ else
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("sqrt: DOMAIN error\n", 19);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 27:
+ case 127:
+ case 227:
+ /* fmod(x,0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "fmod" : (type < 200
+ ? "fmodf" : "fmodl");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = x;
+ else
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("fmod: DOMAIN error\n", 20);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 28:
+ case 128:
+ case 228:
+ /* remainder(x,0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "remainder" : (type < 200
+ ? "remainderf"
+ : "remainderl");
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("remainder: DOMAIN error\n", 24);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 29:
+ case 129:
+ case 229:
+ /* acosh(x<1) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "acosh" : (type < 200
+ ? "acoshf" : "acoshl");
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("acosh: DOMAIN error\n", 20);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 30:
+ case 130:
+ case 230:
+ /* atanh(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "atanh" : (type < 200
+ ? "atanhf" : "atanhl");
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("atanh: DOMAIN error\n", 20);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 31:
+ case 131:
+ case 231:
+ /* atanh(|x|=1) */
+ exc.type = SING;
+ exc.name = type < 100 ? "atanh" : (type < 200
+ ? "atanhf" : "atanhl");
+ exc.retval = x/zero; /* sign(x)*inf */
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("atanh: SING error\n", 18);
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 32:
+ case 132:
+ case 232:
+ /* scalb overflow; SVID also returns +-HUGE_VAL */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "scalb" : (type < 200
+ ? "scalbf" : "scalbl");
+ exc.retval = x > zero ? HUGE_VAL : -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+ case 33:
+ case 133:
+ case 233:
+ /* scalb underflow */
+ exc.type = UNDERFLOW;
+ exc.name = type < 100 ? "scalb" : (type < 200
+ ? "scalbf" : "scalbl");
+ exc.retval = __copysign(zero,x);
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+ case 34:
+ case 134:
+ case 234:
+ /* j0(|x|>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "j0" : (type < 200 ? "j0f" : "j0l");
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ __set_errno (ERANGE);
+ }
+ break;
+ case 35:
+ case 135:
+ case 235:
+ /* y0(x>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "y0" : (type < 200 ? "y0f" : "y0l");
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ __set_errno (ERANGE);
+ }
+ break;
+ case 36:
+ case 136:
+ case 236:
+ /* j1(|x|>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "j1" : (type < 200 ? "j1f" : "j1l");
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ __set_errno (ERANGE);
+ }
+ break;
+ case 37:
+ case 137:
+ case 237:
+ /* y1(x>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "y1" : (type < 200 ? "y1f" : "y1l");
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ __set_errno (ERANGE);
+ }
+ break;
+ case 38:
+ case 138:
+ case 238:
+ /* jn(|x|>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "jn" : (type < 200 ? "jnf" : "jnl");
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ __set_errno (ERANGE);
+ }
+ break;
+ case 39:
+ case 139:
+ case 239:
+ /* yn(x>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "yn" : (type < 200 ? "ynf" : "ynl");
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ __set_errno (ERANGE);
+ }
+ break;
+ case 40:
+ case 140:
+ case 240:
+ /* gamma(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "tgamma" : (type < 200
+ ? "tgammaf" : "tgammal");
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+ case 41:
+ case 141:
+ case 241:
+ /* gamma(-integer) or gamma(0) */
+ exc.type = SING;
+ exc.name = type < 100 ? "tgamma" : (type < 200
+ ? "tgammaf" : "tgammal");
+ exc.retval = NAN;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (EDOM);
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("tgamma: SING error\n", 18);
+ exc.retval = HUGE_VAL;
+ }
+ __set_errno (EDOM);
+ }
+ break;
+ case 42:
+ case 142:
+ case 242:
+ /* pow(NaN,0.0) */
+ /* error only if _LIB_VERSION == _SVID_ & _XOPEN_ */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "pow" : (type < 200 ? "powf" : "powl");
+ exc.retval = x;
+ if (_LIB_VERSION == _IEEE_ ||
+ _LIB_VERSION == _POSIX_) exc.retval = 1.0;
+ else if (!matherr(&exc)) {
+ __set_errno (EDOM);
+ }
+ break;
+
+ case 44:
+ case 144:
+ case 244:
+ /* exp(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "exp2" : (type < 200
+ ? "exp2f" : "exp2l");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+ case 45:
+ case 145:
+ case 245:
+ /* exp(finite) underflow */
+ exc.type = UNDERFLOW;
+ exc.name = type < 100 ? "exp2" : (type < 200
+ ? "exp2f" : "exp2l");
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+
+ case 46:
+ case 146:
+ case 246:
+ /* exp(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "exp10" : (type < 200
+ ? "exp10f" : "exp10l");
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+ case 47:
+ case 147:
+ case 247:
+ /* exp(finite) underflow */
+ exc.type = UNDERFLOW;
+ exc.name = type < 100 ? "exp10" : (type < 200
+ ? "exp10f" : "exp10l");
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ __set_errno (ERANGE);
+ else if (!matherr(&exc)) {
+ __set_errno (ERANGE);
+ }
+ break;
+ /* #### Last used is 47/147/247 ### */
+ }
+ return exc.retval;
+}
diff --git a/sysdeps/ieee754/ldbl-128/e_acoshl.c b/sysdeps/ieee754/ldbl-128/e_acoshl.c
new file mode 100644
index 0000000..7f79340
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/e_acoshl.c
@@ -0,0 +1,68 @@
+/* e_acoshl.c -- long double version of e_acosh.c.
+ * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __ieee754_acoshl(x)
+ * Method :
+ * Based on
+ * acoshl(x) = logl [ x + sqrtl(x*x-1) ]
+ * we have
+ * acoshl(x) := logl(x)+ln2, if x is large; else
+ * acoshl(x) := logl(2x-1/(sqrtl(x*x-1)+x)) if x>2; else
+ * acoshl(x) := log1pl(t+sqrtl(2.0*t+t*t)); where t=x-1.
+ *
+ * Special cases:
+ * acoshl(x) is NaN with signal if x<1.
+ * acoshl(NaN) is NaN without signal.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+one = 1.0,
+ln2 = 0.6931471805599453094172321214581766L;
+
+#ifdef __STDC__
+ long double __ieee754_acoshl(long double x)
+#else
+ long double __ieee754_acoshl(x)
+ long double x;
+#endif
+{
+ long double t;
+ u_int64_t lx;
+ int64_t hx;
+ GET_LDOUBLE_WORDS64(hx,lx,x);
+ if(hx<0x3fff000000000000LL) { /* x < 1 */
+ return (x-x)/(x-x);
+ } else if(hx >=0x401b000000000000LL) { /* x > 2**28 */
+ if(hx >=0x7fff000000000000LL) { /* x is inf of NaN */
+ return x+x;
+ } else
+ return __ieee754_logl(x)+ln2; /* acoshl(huge)=logl(2x) */
+ } else if(((hx-0x3fff000000000000LL)|lx)==0) {
+ return 0.0L; /* acosh(1) = 0 */
+ } else if (hx > 0x4000000000000000LL) { /* 2**28 > x > 2 */
+ t=x*x;
+ return __ieee754_logl(2.0L*x-one/(x+__ieee754_sqrtl(t-one)));
+ } else { /* 1<x<2 */
+ t = x-one;
+ return __log1pl(t+__sqrtl(2.0L*t+t*t));
+ }
+}
diff --git a/sysdeps/ieee754/ldbl-128/e_atan2l.c b/sysdeps/ieee754/ldbl-128/e_atan2l.c
new file mode 100644
index 0000000..2e081d3
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/e_atan2l.c
@@ -0,0 +1,129 @@
+/* e_atan2l.c -- long double version of e_atan2.c.
+ * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __ieee754_atan2l(y,x)
+ * Method :
+ * 1. Reduce y to positive by atan2l(y,x)=-atan2l(-y,x).
+ * 2. Reduce x to positive by (if x and y are unexceptional):
+ * ARG (x+iy) = arctan(y/x) ... if x > 0,
+ * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0,
+ *
+ * Special cases:
+ *
+ * ATAN2((anything), NaN ) is NaN;
+ * ATAN2(NAN , (anything) ) is NaN;
+ * ATAN2(+-0, +(anything but NaN)) is +-0 ;
+ * ATAN2(+-0, -(anything but NaN)) is +-pi ;
+ * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2;
+ * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ;
+ * ATAN2(+-(anything but INF and NaN), -INF) is +-pi;
+ * ATAN2(+-INF,+INF ) is +-pi/4 ;
+ * ATAN2(+-INF,-INF ) is +-3pi/4;
+ * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2;
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+tiny = 1.0e-4900L,
+zero = 0.0,
+pi_o_4 = 7.85398163397448309615660845819875699e-01L, /* 3ffe921fb54442d18469898cc51701b8 */
+pi_o_2 = 1.57079632679489661923132169163975140e+00L, /* 3fff921fb54442d18469898cc51701b8 */
+pi = 3.14159265358979323846264338327950280e+00L, /* 4000921fb54442d18469898cc51701b8 */
+pi_lo = 8.67181013012378102479704402604335225e-35L; /* 3f8dcd129024e088a67cc74020bbea64 */
+
+#ifdef __STDC__
+ long double __ieee754_atan2l(long double y, long double x)
+#else
+ long double __ieee754_atan2l(y,x)
+ long double y,x;
+#endif
+{
+ long double z;
+ int64_t k,m,hx,hy,ix,iy;
+ u_int64_t lx,ly;
+
+ GET_LDOUBLE_WORDS64(hx,lx,x);
+ ix = hx&0x7fffffffffffffffLL;
+ GET_LDOUBLE_WORDS64(hy,ly,y);
+ iy = hy&0x7fffffffffffffffLL;
+ if(((ix|((lx|-lx)>>63))>0x7fff000000000000LL)||
+ ((iy|((ly|-ly)>>63))>0x7fff000000000000LL)) /* x or y is NaN */
+ return x+y;
+ if((hx-0x3fff000000000000LL|lx)==0) return __atanl(y); /* x=1.0L */
+ m = ((hy>>63)&1)|((hx>>62)&2); /* 2*sign(x)+sign(y) */
+
+ /* when y = 0 */
+ if((iy|ly)==0) {
+ switch(m) {
+ case 0:
+ case 1: return y; /* atan(+-0,+anything)=+-0 */
+ case 2: return pi+tiny;/* atan(+0,-anything) = pi */
+ case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
+ }
+ }
+ /* when x = 0 */
+ if((ix|lx)==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* when x is INF */
+ if(ix==0x7fff000000000000LL) {
+ if(iy==0x7fff000000000000LL) {
+ switch(m) {
+ case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
+ case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
+ case 2: return 3.0L*pi_o_4+tiny;/*atan(+INF,-INF)*/
+ case 3: return -3.0L*pi_o_4-tiny;/*atan(-INF,-INF)*/
+ }
+ } else {
+ switch(m) {
+ case 0: return zero ; /* atan(+...,+INF) */
+ case 1: return -zero ; /* atan(-...,+INF) */
+ case 2: return pi+tiny ; /* atan(+...,-INF) */
+ case 3: return -pi-tiny ; /* atan(-...,-INF) */
+ }
+ }
+ }
+ /* when y is INF */
+ if(iy==0x7fff000000000000LL) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* compute y/x */
+ k = (iy-ix)>>48;
+ if(k > 120) z=pi_o_2+0.5L*pi_lo; /* |y/x| > 2**120 */
+ else if(hx<0&&k<-120) z=0.0L; /* |y|/x < -2**120 */
+ else z=__atanl(fabsl(y/x)); /* safe to do y/x */
+ switch (m) {
+ case 0: return z ; /* atan(+,+) */
+ case 1: {
+ u_int64_t zh;
+ GET_LDOUBLE_MSW64(zh,z);
+ SET_LDOUBLE_MSW64(z,zh ^ 0x8000000000000000ULL);
+ }
+ return z ; /* atan(-,+) */
+ case 2: return pi-(z-pi_lo);/* atan(+,-) */
+ default: /* case 3 */
+ return (z-pi_lo)-pi;/* atan(-,-) */
+ }
+}
diff --git a/sysdeps/ieee754/ldbl-128/e_fmodl.c b/sysdeps/ieee754/ldbl-128/e_fmodl.c
new file mode 100644
index 0000000..1043f69
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/e_fmodl.c
@@ -0,0 +1,138 @@
+/* e_fmodl.c -- long double version of e_fmod.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * __ieee754_fmodl(x,y)
+ * Return x mod y in exact arithmetic
+ * Method: shift and subtract
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double one = 1.0, Zero[] = {0.0, -0.0,};
+#else
+static long double one = 1.0, Zero[] = {0.0, -0.0,};
+#endif
+
+#ifdef __STDC__
+ long double __ieee754_fmodl(long double x, long double y)
+#else
+ long double __ieee754_fmodl(x,y)
+ long double x,y;
+#endif
+{
+ int64_t n,hx,hy,hz,ix,iy,sx,i;
+ u_int64_t lx,ly,lz;
+
+ GET_LDOUBLE_WORDS64(hx,lx,x);
+ GET_LDOUBLE_WORDS64(hy,ly,y);
+ sx = hx&0x8000000000000000ULL; /* sign of x */
+ hx ^=sx; /* |x| */
+ hy &= 0x7fffffffffffffffLL; /* |y| */
+
+ /* purge off exception values */
+ if((hy|ly)==0||(hx>=0x7fff000000000000LL)|| /* y=0,or x not finite */
+ ((hy|((ly|-ly)>>63))>0x7fff000000000000LL)) /* or y is NaN */
+ return (x*y)/(x*y);
+ if(hx<=hy) {
+ if((hx<hy)||(lx<ly)) return x; /* |x|<|y| return x */
+ if(lx==ly)
+ return Zero[(u_int64_t)sx>>63]; /* |x|=|y| return x*0*/
+ }
+
+ /* determine ix = ilogb(x) */
+ if(hx<0x0001000000000000LL) { /* subnormal x */
+ if(hx==0) {
+ for (ix = -16431, i=lx; i>0; i<<=1) ix -=1;
+ } else {
+ for (ix = -16382, i=hx<<15; i>0; i<<=1) ix -=1;
+ }
+ } else ix = (hx>>48)-0x3fff;
+
+ /* determine iy = ilogb(y) */
+ if(hy<0x0001000000000000LL) { /* subnormal y */
+ if(hy==0) {
+ for (iy = -16431, i=ly; i>0; i<<=1) iy -=1;
+ } else {
+ for (iy = -16382, i=hy<<15; i>0; i<<=1) iy -=1;
+ }
+ } else iy = (hy>>48)-0x3fff;
+
+ /* set up {hx,lx}, {hy,ly} and align y to x */
+ if(ix >= -16382)
+ hx = 0x0001000000000000LL|(0x0000ffffffffffffLL&hx);
+ else { /* subnormal x, shift x to normal */
+ n = -16382-ix;
+ if(n<=63) {
+ hx = (hx<<n)|(lx>>(64-n));
+ lx <<= n;
+ } else {
+ hx = lx<<(n-64);
+ lx = 0;
+ }
+ }
+ if(iy >= -16382)
+ hy = 0x0001000000000000LL|(0x0000ffffffffffffLL&hy);
+ else { /* subnormal y, shift y to normal */
+ n = -16382-iy;
+ if(n<=63) {
+ hy = (hy<<n)|(ly>>(64-n));
+ ly <<= n;
+ } else {
+ hy = ly<<(n-64);
+ ly = 0;
+ }
+ }
+
+ /* fix point fmod */
+ n = ix - iy;
+ while(n--) {
+ hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+ if(hz<0){hx = hx+hx+(lx>>63); lx = lx+lx;}
+ else {
+ if((hz|lz)==0) /* return sign(x)*0 */
+ return Zero[(u_int64_t)sx>>63];
+ hx = hz+hz+(lz>>63); lx = lz+lz;
+ }
+ }
+ hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+ if(hz>=0) {hx=hz;lx=lz;}
+
+ /* convert back to floating value and restore the sign */
+ if((hx|lx)==0) /* return sign(x)*0 */
+ return Zero[(u_int64_t)sx>>63];
+ while(hx<0x0001000000000000LL) { /* normalize x */
+ hx = hx+hx+(lx>>63); lx = lx+lx;
+ iy -= 1;
+ }
+ if(iy>= -16382) { /* normalize output */
+ hx = ((hx-0x0001000000000000LL)|((iy+16383)<<48));
+ SET_LDOUBLE_WORDS64(x,hx|sx,lx);
+ } else { /* subnormal output */
+ n = -16382 - iy;
+ if(n<=48) {
+ lx = (lx>>n)|((u_int64_t)hx<<(64-n));
+ hx >>= n;
+ } else if (n<=63) {
+ lx = (hx<<(64-n))|(lx>>n); hx = sx;
+ } else {
+ lx = hx>>(n-64); hx = sx;
+ }
+ SET_LDOUBLE_WORDS64(x,hx|sx,lx);
+ x *= one; /* create necessary signal */
+ }
+ return x; /* exact output */
+}
diff --git a/sysdeps/ieee754/ldbl-128/e_gammal_r.c b/sysdeps/ieee754/ldbl-128/e_gammal_r.c
new file mode 100644
index 0000000..f77350f
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/e_gammal_r.c
@@ -0,0 +1,52 @@
+/* Implementation of gamma function according to ISO C.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
+ Jakub Jelinek <jj@ultra.linux.cz, 1999.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+#include <math_private.h>
+
+
+long double
+__ieee754_gammal_r (long double x, int *signgamp)
+{
+ /* We don't have a real gamma implementation now. We'll use lgamma
+ and the exp function. But due to the required boundary
+ conditions we must check some values separately. */
+ int64_t hx;
+ u_int64_t lx;
+
+ GET_LDOUBLE_WORDS64 (hx, lx, x);
+
+ if (((hx & 0x7fffffffffffffffLL) | lx) == 0)
+ {
+ /* Return value for x == 0 is NaN with invalid exception. */
+ *signgamp = 0;
+ return x / x;
+ }
+ if (hx < 0 && (u_int64_t) hx < 0xffff000000000000ULL && __rintl (x) == x)
+ {
+ /* Return value for integer x < 0 is NaN with invalid exception. */
+ *signgamp = 0;
+ return (x - x) / (x - x);
+ }
+
+ /* XXX FIXME. */
+ return __ieee754_expl (__ieee754_lgammal_r (x, signgamp));
+}
diff --git a/sysdeps/ieee754/ldbl-128/e_remainderl.c b/sysdeps/ieee754/ldbl-128/e_remainderl.c
new file mode 100644
index 0000000..81af247
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/e_remainderl.c
@@ -0,0 +1,78 @@
+/* e_fmodl.c -- long double version of e_fmod.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __ieee754_remainderl(x,p)
+ * Return :
+ * returns x REM p = x - [x/p]*p as if in infinite
+ * precise arithmetic, where [x/p] is the (infinite bit)
+ * integer nearest x/p (in half way case choose the even one).
+ * Method :
+ * Based on fmodl() return x-[x/p]chopped*p exactlp.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double zero = 0.0L;
+#else
+static long double zero = 0.0L;
+#endif
+
+
+#ifdef __STDC__
+ long double __ieee754_remainderl(long double x, long double p)
+#else
+ long double __ieee754_remainderl(x,p)
+ long double x,p;
+#endif
+{
+ int64_t hx,hp;
+ u_int64_t sx,lx,lp;
+ long double p_half;
+
+ GET_LDOUBLE_WORDS64(hx,lx,x);
+ GET_LDOUBLE_WORDS64(hp,lp,p);
+ sx = hx&0x8000000000000000ULL;
+ hp &= 0x7fffffffffffffffLL;
+ hx &= 0x7fffffffffffffffLL;
+
+ /* purge off exception values */
+ if((hp|lp)==0) return (x*p)/(x*p); /* p = 0 */
+ if((hx>=0x7fff000000000000LL)|| /* x not finite */
+ ((hp>=0x7fff000000000000LL)&& /* p is NaN */
+ (((hp-0x7fff000000000000LL)|lp)!=0)))
+ return (x*p)/(x*p);
+
+
+ if (hp<=0x7ffdffffffffffffLL) x = __ieee754_fmodl(x,p+p); /* now x < 2p */
+ if (((hx-hp)|(lx-lp))==0) return zero*x;
+ x = fabsl(x);
+ p = fabsl(p);
+ if (hp<0x0002000000000000LL) {
+ if(x+x>p) {
+ x-=p;
+ if(x+x>=p) x -= p;
+ }
+ } else {
+ p_half = 0.5L*p;
+ if(x>p_half) {
+ x-=p;
+ if(x>=p_half) x -= p;
+ }
+ }
+ GET_LDOUBLE_MSW64(hx,x);
+ SET_LDOUBLE_MSW64(x,hx^sx);
+ return x;
+}
diff --git a/sysdeps/ieee754/ldbl-128/ieee754.h b/sysdeps/ieee754/ldbl-128/ieee754.h
new file mode 100644
index 0000000..c3b2f38
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/ieee754.h
@@ -0,0 +1,171 @@
+/* Copyright (C) 1992, 1995, 1996, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#ifndef _IEEE754_H
+
+#define _IEEE754_H 1
+#include <features.h>
+
+#include <endian.h>
+
+__BEGIN_DECLS
+
+union ieee754_float
+ {
+ float f;
+
+ /* This is the IEEE 754 single-precision format. */
+ struct
+ {
+#if __BYTE_ORDER == __BIG_ENDIAN
+ unsigned int negative:1;
+ unsigned int exponent:8;
+ unsigned int mantissa:23;
+#endif /* Big endian. */
+#if __BYTE_ORDER == __LITTLE_ENDIAN
+ unsigned int mantissa:23;
+ unsigned int exponent:8;
+ unsigned int negative:1;
+#endif /* Little endian. */
+ } ieee;
+
+ /* This format makes it easier to see if a NaN is a signalling NaN. */
+ struct
+ {
+#if __BYTE_ORDER == __BIG_ENDIAN
+ unsigned int negative:1;
+ unsigned int exponent:8;
+ unsigned int quiet_nan:1;
+ unsigned int mantissa:22;
+#endif /* Big endian. */
+#if __BYTE_ORDER == __LITTLE_ENDIAN
+ unsigned int mantissa:22;
+ unsigned int quiet_nan:1;
+ unsigned int exponent:8;
+ unsigned int negative:1;
+#endif /* Little endian. */
+ } ieee_nan;
+ };
+
+#define IEEE754_FLOAT_BIAS 0x7f /* Added to exponent. */
+
+
+union ieee754_double
+ {
+ double d;
+
+ /* This is the IEEE 754 double-precision format. */
+ struct
+ {
+#if __BYTE_ORDER == __BIG_ENDIAN
+ unsigned int negative:1;
+ unsigned int exponent:11;
+ /* Together these comprise the mantissa. */
+ unsigned int mantissa0:20;
+ unsigned int mantissa1:32;
+#endif /* Big endian. */
+#if __BYTE_ORDER == __LITTLE_ENDIAN
+ /* Together these comprise the mantissa. */
+ unsigned int mantissa1:32;
+ unsigned int mantissa0:20;
+ unsigned int exponent:11;
+ unsigned int negative:1;
+#endif /* Little endian. */
+ } ieee;
+
+ /* This format makes it easier to see if a NaN is a signalling NaN. */
+ struct
+ {
+#if __BYTE_ORDER == __BIG_ENDIAN
+ unsigned int negative:1;
+ unsigned int exponent:11;
+ unsigned int quiet_nan:1;
+ /* Together these comprise the mantissa. */
+ unsigned int mantissa0:19;
+ unsigned int mantissa1:32;
+#else
+ /* Together these comprise the mantissa. */
+ unsigned int mantissa1:32;
+ unsigned int mantissa0:19;
+ unsigned int quiet_nan:1;
+ unsigned int exponent:11;
+ unsigned int negative:1;
+#endif
+ } ieee_nan;
+ };
+
+#define IEEE754_DOUBLE_BIAS 0x3ff /* Added to exponent. */
+
+
+union ieee854_long_double
+ {
+ long double d;
+
+ /* This is the IEEE 854 quad-precision format. */
+ struct
+ {
+#if __BYTE_ORDER == __BIG_ENDIAN
+ unsigned int negative:1;
+ unsigned int exponent:15;
+ /* Together these comprise the mantissa. */
+ unsigned int mantissa0:16;
+ unsigned int mantissa1:32;
+ unsigned int mantissa2:32;
+ unsigned int mantissa3:32;
+#endif /* Big endian. */
+#if __BYTE_ORDER == __LITTLE_ENDIAN
+ /* Together these comprise the mantissa. */
+ unsigned int mantissa3:32;
+ unsigned int mantissa2:32;
+ unsigned int mantissa1:32;
+ unsigned int mantissa0:16;
+ unsigned int exponent:15;
+ unsigned int negative:1;
+#endif /* Little endian. */
+ } ieee;
+
+ /* This format makes it easier to see if a NaN is a signalling NaN. */
+ struct
+ {
+#if __BYTE_ORDER == __BIG_ENDIAN
+ unsigned int negative:1;
+ unsigned int exponent:15;
+ unsigned int quiet_nan:1;
+ /* Together these comprise the mantissa. */
+ unsigned int mantissa0:15;
+ unsigned int mantissa1:32;
+ unsigned int mantissa2:32;
+ unsigned int mantissa3:32;
+#else
+ /* Together these comprise the mantissa. */
+ unsigned int mantissa3:32;
+ unsigned int mantissa2:32;
+ unsigned int mantissa1:32;
+ unsigned int mantissa0:15;
+ unsigned int quiet_nan:1;
+ unsigned int exponent:15;
+ unsigned int negative:1;
+#endif
+ } ieee_nan;
+ };
+
+#define IEEE854_LONG_DOUBLE_BIAS 0x3fff /* Added to exponent. */
+
+__END_DECLS
+
+#endif /* ieee754.h */
diff --git a/sysdeps/ieee754/ldbl-128/ldbl2mpn.c b/sysdeps/ieee754/ldbl-128/ldbl2mpn.c
new file mode 100644
index 0000000..68ecea8
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/ldbl2mpn.c
@@ -0,0 +1,137 @@
+/* Copyright (C) 1995, 1996, 1997, 1998, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "longlong.h"
+#include <ieee754.h>
+#include <float.h>
+#include <math.h>
+#include <stdlib.h>
+
+/* Convert a `long double' in IEEE854 quad-precision format to a
+ multi-precision integer representing the significand scaled up by its
+ number of bits (113 for long double) and an integral power of two
+ (MPN frexpl). */
+
+mp_size_t
+__mpn_extract_long_double (mp_ptr res_ptr, mp_size_t size,
+ int *expt, int *is_neg,
+ long double value)
+{
+ union ieee854_long_double u;
+ u.d = value;
+
+ *is_neg = u.ieee.negative;
+ *expt = (int) u.ieee.exponent - IEEE854_LONG_DOUBLE_BIAS;
+
+#if BITS_PER_MP_LIMB == 32
+ res_ptr[0] = u.ieee.mantissa3; /* Low-order 32 bits of fraction. */
+ res_ptr[1] = u.ieee.mantissa2;
+ res_ptr[2] = u.ieee.mantissa1;
+ res_ptr[3] = u.ieee.mantissa0; /* High-order 32 bits. */
+ #define N 4
+#elif BITS_PER_MP_LIMB == 64
+ /* Hopefully the compiler will combine the two bitfield extracts
+ and this composition into just the original quadword extract. */
+ res_ptr[0] = ((unsigned long int) u.ieee.mantissa2 << 32) | u.ieee.mantissa3;
+ res_ptr[1] = ((unsigned long int) u.ieee.mantissa0 << 32) | u.ieee.mantissa1;
+ #define N 2
+#else
+ #error "mp_limb size " BITS_PER_MP_LIMB "not accounted for"
+#endif
+/* The format does not fill the last limb. There are some zeros. */
+#define NUM_LEADING_ZEROS (BITS_PER_MP_LIMB \
+ - (LDBL_MANT_DIG - ((N - 1) * BITS_PER_MP_LIMB)))
+
+ if (u.ieee.exponent == 0)
+ {
+ /* A biased exponent of zero is a special case.
+ Either it is a zero or it is a denormal number. */
+ if (res_ptr[0] == 0 && res_ptr[1] == 0
+ && res_ptr[N - 2] == 0 && res_ptr[N - 1] == 0) /* Assumes N<=4. */
+ /* It's zero. */
+ *expt = 0;
+ else
+ {
+ /* It is a denormal number, meaning it has no implicit leading
+ one bit, and its exponent is in fact the format minimum. */
+ int cnt;
+
+#if N == 2
+ if (res_ptr[N - 1] != 0)
+ {
+ count_leading_zeros (cnt, res_ptr[N - 1]);
+ cnt -= NUM_LEADING_ZEROS;
+ res_ptr[N - 1] = res_ptr[N - 1] << cnt
+ | (res_ptr[0] >> (BITS_PER_MP_LIMB - cnt));
+ res_ptr[0] <<= cnt;
+ *expt = LDBL_MIN_EXP - 1 - cnt;
+ }
+ else
+ {
+ count_leading_zeros (cnt, res_ptr[0]);
+ if (cnt >= NUM_LEADING_ZEROS)
+ {
+ res_ptr[N - 1] = res_ptr[0] << (cnt - NUM_LEADING_ZEROS);
+ res_ptr[0] = 0;
+ }
+ else
+ {
+ res_ptr[N - 1] = res_ptr[0] >> (NUM_LEADING_ZEROS - cnt);
+ res_ptr[0] <<= BITS_PER_MP_LIMB - (NUM_LEADING_ZEROS - cnt);
+ }
+ *expt = LDBL_MIN_EXP - 1
+ - (BITS_PER_MP_LIMB - NUM_LEADING_ZEROS) - cnt;
+ }
+#else
+ int j, k, l;
+
+ for (j = N - 1; j > 0; j++)
+ if (res_ptr[j] != 0)
+ break;
+
+ count_leading_zeros (cnt, res_ptr[j]);
+ cnt -= NUM_LEADING_ZEROS;
+ l = N - 1 - j;
+ if (cnt < 0)
+ {
+ cnt += BITS_PER_MP_LIMB;
+ l++;
+ }
+ if (!cnt)
+ for (k = N - 1; k >= l; k--)
+ res_ptr[k] = res_ptr[k-l];
+ else
+ for (k = N - 1; k >= l; k--)
+ res_ptr[k] = res_ptr[k-l] << cnt
+ | res_ptr[k-l-1] >> (BITS_PER_MP_LIMB - cnt);
+ res_ptr[k--] = res_ptr[0] << cnt;
+
+ for (; k >= 0; k--)
+ res_ptr[k] = 0;
+ *expt = LDBL_MIN_EXP - 1 - 3 * BITS_PER_MP_LIMB - cnt;
+#endif
+ }
+ }
+ else
+ /* Add the implicit leading one bit for a normalized number. */
+ res_ptr[N - 1] |= 1L << (LDBL_MANT_DIG - 1 - ((N - 1) * BITS_PER_MP_LIMB));
+
+ return N;
+}
diff --git a/sysdeps/ieee754/ldbl-128/math_ldbl.h b/sysdeps/ieee754/ldbl-128/math_ldbl.h
new file mode 100644
index 0000000..aecb20a
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/math_ldbl.h
@@ -0,0 +1,82 @@
+#ifndef _MATH_PRIVATE_H_
+#error "Never use <math_ldbl.h> directly; include <math_private.h> instead."
+#endif
+
+/* A union which permits us to convert between a long double and
+ four 32 bit ints or two 64 bit ints. */
+
+#if __FLOAT_WORD_ORDER == BIG_ENDIAN
+
+typedef union
+{
+ long double value;
+ struct
+ {
+ u_int64_t msw;
+ u_int64_t lsw;
+ } parts64;
+ struct
+ {
+ u_int32_t w0, w1, w2, w3;
+ } parts32;
+} ieee854_long_double_shape_type;
+
+#endif
+
+#if __FLOAT_WORD_ORDER == LITTLE_ENDIAN
+
+typedef union
+{
+ long double value;
+ struct
+ {
+ u_int64_t lsw;
+ u_int64_t msw;
+ } parts64;
+ struct
+ {
+ u_int32_t w3, w2, w1, w0;
+ } parts32;
+} ieee854_long_double_shape_type;
+
+#endif
+
+/* Get two 64 bit ints from a long double. */
+
+#define GET_LDOUBLE_WORDS64(ix0,ix1,d) \
+do { \
+ ieee854_long_double_shape_type qw_u; \
+ qw_u.value = (d); \
+ (ix0) = qw_u.parts64.msw; \
+ (ix1) = qw_u.parts64.lsw; \
+} while (0)
+
+/* Set a long double from two 64 bit ints. */
+
+#define SET_LDOUBLE_WORDS64(d,ix0,ix1) \
+do { \
+ ieee854_long_double_shape_type qw_u; \
+ qw_u.parts64.msw = (ix0); \
+ qw_u.parts64.lsw = (ix1); \
+ (d) = qw_u.value; \
+} while (0)
+
+/* Get the more significant 64 bits of a long double mantissa. */
+
+#define GET_LDOUBLE_MSW64(v,d) \
+do { \
+ ieee854_long_double_shape_type sh_u; \
+ sh_u.value = (d); \
+ (v) = sh_u.parts64.msw; \
+} while (0)
+
+/* Set the more significant 64 bits of a long double mantissa from an int. */
+
+#define SET_LDOUBLE_MSW64(d,v) \
+do { \
+ ieee854_long_double_shape_type sh_u; \
+ sh_u.value = (d); \
+ sh_u.parts64.msw = (v); \
+ (d) = sh_u.value; \
+} while (0)
+
diff --git a/sysdeps/ieee754/ldbl-128/mpn2ldbl.c b/sysdeps/ieee754/ldbl-128/mpn2ldbl.c
new file mode 100644
index 0000000..d9cc452
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/mpn2ldbl.c
@@ -0,0 +1,51 @@
+/* Copyright (C) 1995, 1996, 1997, 1998, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+#include <ieee754.h>
+#include <float.h>
+#include <math.h>
+
+/* Convert a multi-precision integer of the needed number of bits (113 for
+ long double) and an integral power of two to a `long double' in IEEE854
+ quad-precision format. */
+
+long double
+__mpn_construct_long_double (mp_srcptr frac_ptr, int expt, int sign)
+{
+ union ieee854_long_double u;
+
+ u.ieee.negative = sign;
+ u.ieee.exponent = expt + IEEE854_LONG_DOUBLE_BIAS;
+#if BITS_PER_MP_LIMB == 32
+ u.ieee.mantissa3 = frac_ptr[0];
+ u.ieee.mantissa2 = frac_ptr[1];
+ u.ieee.mantissa1 = frac_ptr[2];
+ u.ieee.mantissa0 = frac_ptr[3] & ((1 << (LDBL_MANT_DIG - 96)) - 1);
+#elif BITS_PER_MP_LIMB == 64
+ u.ieee.mantissa3 = frac_ptr[0] & ((1L << 32) - 1);
+ u.ieee.mantissa2 = frac_ptr[0] >> 32;
+ u.ieee.mantissa1 = frac_ptr[1] & ((1L << 32) - 1);
+ u.ieee.mantissa0 = (frac_ptr[1] >> 32) & ((1 << (LDBL_MANT_DIG - 96)) - 1);
+#else
+ #error "mp_limb size " BITS_PER_MP_LIMB "not accounted for"
+#endif
+
+ return u.d;
+}
diff --git a/sysdeps/ieee754/ldbl-128/printf_fphex.c b/sysdeps/ieee754/ldbl-128/printf_fphex.c
new file mode 100644
index 0000000..e25d668
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/printf_fphex.c
@@ -0,0 +1,84 @@
+/* Print floating point number in hexadecimal notation according to
+ ISO C 9X.
+ Copyright (C) 1997, 1998, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#define PRINT_FPHEX_LONG_DOUBLE \
+do { \
+ /* We have 112 bits of mantissa plus one implicit digit. Since \
+ 112 bits are representable without rest using hexadecimal \
+ digits we use only the implicit digits for the number before \
+ the decimal point. */ \
+ unsigned long long int num0, num1; \
+ \
+ assert (sizeof (long double) == 16); \
+ \
+ num0 = (((unsigned long long int) fpnum.ldbl.ieee.mantissa0) << 32 \
+ | fpnum.ldbl.ieee.mantissa1); \
+ num1 = (((unsigned long long int) fpnum.ldbl.ieee.mantissa2) << 32 \
+ | fpnum.ldbl.ieee.mantissa3); \
+ \
+ zero_mantissa = (num0|num1) == 0; \
+ \
+ if (sizeof (unsigned long int) > 6) \
+ numstr = _itoa_word (num1, numbuf + sizeof numbuf, 16, \
+ info->spec == 'A'); \
+ else \
+ numstr = _itoa (num1, numbuf + sizeof numbuf, 16, \
+ info->spec == 'A'); \
+ \
+ while (numstr > numbuf + (sizeof numbuf - 64 / 4)) \
+ *--numstr = '0'; \
+ \
+ if (sizeof (unsigned long int) > 6) \
+ numstr = _itoa_word (num0, numstr, 16, info->spec == 'A'); \
+ else \
+ numstr = _itoa (num0, numstr, 16, info->spec == 'A'); \
+ \
+ /* Fill with zeroes. */ \
+ while (numstr > numbuf + (sizeof numbuf - 112 / 4)) \
+ *--numstr = '0'; \
+ \
+ leading = fpnum.ldbl.ieee.exponent == 0 ? '0' : '1'; \
+ \
+ exponent = fpnum.ldbl.ieee.exponent; \
+ \
+ if (exponent == 0) \
+ { \
+ if (zero_mantissa) \
+ expnegative = 0; \
+ else \
+ { \
+ /* This is a denormalized number. */ \
+ expnegative = 1; \
+ exponent = IEEE854_LONG_DOUBLE_BIAS - 1; \
+ } \
+ } \
+ else if (exponent >= IEEE854_LONG_DOUBLE_BIAS) \
+ { \
+ expnegative = 0; \
+ exponent -= IEEE854_LONG_DOUBLE_BIAS; \
+ } \
+ else \
+ { \
+ expnegative = 1; \
+ exponent = -(exponent - IEEE854_LONG_DOUBLE_BIAS); \
+ } \
+} while (0)
+
+#include <sysdeps/generic/printf_fphex.c>
diff --git a/sysdeps/ieee754/ldbl-128/s_ceill.c b/sysdeps/ieee754/ldbl-128/s_ceill.c
new file mode 100644
index 0000000..f241554
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_ceill.c
@@ -0,0 +1,84 @@
+/* s_ceill.c -- long double version of s_ceil.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * ceill(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to ceil(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double huge = 1.0e4930;
+#else
+static long double huge = 1.0e4930;
+#endif
+
+#ifdef __STDC__
+ long double __ceill(long double x)
+#else
+ long double __ceill(x)
+ long double x;
+#endif
+{
+ int64_t i0,i1,j0;
+ u_int64_t i,j;
+ GET_LDOUBLE_WORDS64(i0,i1,x);
+ j0 = ((i0>>48)&0x7fff)-0x3fff;
+ if(j0<48) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0<0) {i0=0x8000000000000000ULL;i1=0;}
+ else if((i0|i1)!=0) { i0=0x3fff000000000000ULL;i1=0;}
+ }
+ } else {
+ i = (0x7fffffffffffffffULL)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0>0) i0 += (0x0001000000000000LL)>>j0;
+ i0 &= (~i); i1=0;
+ }
+ }
+ } else if (j0>111) {
+ if(j0==0x4000) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = -1ULL>>(j0-48);
+ if((i1&i)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0>0) {
+ if(j0==48) i0+=1;
+ else {
+ j = i1+(1LL<<(112-j0));
+ if(j<i1) i0 +=1 ; /* got a carry */
+ i1=j;
+ }
+ }
+ i1 &= (~i);
+ }
+ }
+ SET_LDOUBLE_WORDS64(x,i0,i1);
+ return x;
+}
+weak_alias (__ceill, ceill)
diff --git a/sysdeps/ieee754/ldbl-128/s_copysignl.c b/sysdeps/ieee754/ldbl-128/s_copysignl.c
new file mode 100644
index 0000000..cece4f2
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_copysignl.c
@@ -0,0 +1,43 @@
+/* s_copysignl.c -- long double version of s_copysign.c.
+ * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * copysignl(long double x, long double y)
+ * copysignl(x,y) returns a value with the magnitude of x and
+ * with the sign bit of y.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __copysignl(long double x, long double y)
+#else
+ long double __copysignl(x,y)
+ long double x,y;
+#endif
+{
+ u_int64_t hx,hy;
+ GET_LDOUBLE_MSW64(hx,x);
+ GET_LDOUBLE_MSW64(hy,y);
+ SET_LDOUBLE_MSW64(x,(hx&0x7fffffffffffffffULL)
+ |(hy&0x8000000000000000ULL));
+ return x;
+}
+weak_alias (__copysignl, copysignl)
diff --git a/sysdeps/ieee754/ldbl-128/s_cosl.c b/sysdeps/ieee754/ldbl-128/s_cosl.c
new file mode 100644
index 0000000..d1258b2
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_cosl.c
@@ -0,0 +1,83 @@
+/* s_cosl.c -- long double version of s_cos.c.
+ * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* cosl(x)
+ * Return cosine function of x.
+ *
+ * kernel function:
+ * __kernel_sinl ... sine function on [-pi/4,pi/4]
+ * __kernel_cosl ... cosine 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
+ *
+ * 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
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __cosl(long double x)
+#else
+ long double __cosl(x)
+ long double x;
+#endif
+{
+ long double y[2],z=0.0L;
+ int64_t n, ix;
+
+ /* High word of x. */
+ GET_LDOUBLE_MSW64(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffffffffffffLL;
+ if(ix <= 0x3ffe921fb54442d1LL)
+ return __kernel_cosl(x,z);
+
+ /* cos(Inf or NaN) is NaN */
+ else if (ix>=0x7fff000000000000LL) return x-x;
+
+ /* argument reduction needed */
+ 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);
+ }
+ }
+}
+weak_alias (__cosl, cosl)
diff --git a/sysdeps/ieee754/ldbl-128/s_fabsl.c b/sysdeps/ieee754/ldbl-128/s_fabsl.c
new file mode 100644
index 0000000..c0fd05a
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_fabsl.c
@@ -0,0 +1,39 @@
+/* s_fabsl.c -- long double version of s_fabs.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * fabsl(x) returns the absolute value of x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __fabsl(long double x)
+#else
+ long double __fabsl(x)
+ long double x;
+#endif
+{
+ u_int64_t hx;
+ GET_LDOUBLE_MSW64(hx,x);
+ SET_LDOUBLE_MSW64(x,hx&0x7fffffffffffffffLL);
+ return x;
+}
+weak_alias (__fabsl, fabsl)
diff --git a/sysdeps/ieee754/ldbl-128/s_finitel.c b/sysdeps/ieee754/ldbl-128/s_finitel.c
new file mode 100644
index 0000000..dd176c1
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_finitel.c
@@ -0,0 +1,40 @@
+/* s_finitel.c -- long double version of s_finite.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * finitel(x) returns 1 is x is finite, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __finitel(long double x)
+#else
+ int __finitel(x)
+ long double x;
+#endif
+{
+ int64_t hx;
+ GET_LDOUBLE_MSW64(hx,x);
+ return (int)((u_int64_t)((hx&0x7fffffffffffffffLL)
+ -0x7fff000000000000LL)>>63);
+}
+weak_alias (__finitel, finitel)
diff --git a/sysdeps/ieee754/ldbl-128/s_floorl.c b/sysdeps/ieee754/ldbl-128/s_floorl.c
new file mode 100644
index 0000000..c9b8b70
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_floorl.c
@@ -0,0 +1,85 @@
+/* s_floorl.c -- long double version of s_floor.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * floorl(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to floor(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double huge = 1.0e4930;
+#else
+static long double huge = 1.0e4930;
+#endif
+
+#ifdef __STDC__
+ long double __floorl(long double x)
+#else
+ long double __floorl(x)
+ long double x;
+#endif
+{
+ int64_t i0,i1,j0;
+ u_int64_t i,j;
+ GET_LDOUBLE_WORDS64(i0,i1,x);
+ j0 = ((i0>>48)&0x7fff)-0x3fff;
+ if(j0<48) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0>=0) {i0=i1=0;}
+ else if(((i0&0x7fffffffffffffffLL)|i1)!=0)
+ { i0=0xbfff000000000000ULL;i1=0;}
+ }
+ } else {
+ i = (0x7fffffffffffffffULL)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0<0) i0 += (0x0001000000000000LL)>>j0;
+ i0 &= (~i); i1=0;
+ }
+ }
+ } else if (j0>111) {
+ if(j0==0x4000) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = -1ULL>>(j0-48);
+ if((i1&i)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0<0) {
+ if(j0==48) i0+=1;
+ else {
+ j = i1+(1LL<<(112-j0));
+ if(j<i1) i0 +=1 ; /* got a carry */
+ i1=j;
+ }
+ }
+ i1 &= (~i);
+ }
+ }
+ SET_LDOUBLE_WORDS64(x,i0,i1);
+ return x;
+}
+weak_alias (__floorl, floorl)
diff --git a/sysdeps/ieee754/ldbl-128/s_fpclassifyl.c b/sysdeps/ieee754/ldbl-128/s_fpclassifyl.c
new file mode 100644
index 0000000..868c3c4
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_fpclassifyl.c
@@ -0,0 +1,44 @@
+/* Return classification value corresponding to argument.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
+ Jakub Jelinek <jj@ultra.linux.cz>, 1999.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+int
+__fpclassifyl (long double x)
+{
+ u_int64_t hx, lx;
+ int retval = FP_NORMAL;
+
+ GET_LDOUBLE_WORDS64 (hx, lx, x);
+ lx |= (hx & 0x0000ffffffffffffLL);
+ hx &= 0x7fff000000000000LL;
+ if ((hx | lx) == 0)
+ retval = FP_ZERO;
+ else if (hx == 0)
+ retval = FP_SUBNORMAL;
+ else if (hx == 0x7fff000000000000LL)
+ retval = lx != 0 ? FP_NAN : FP_INFINITE;
+
+ return retval;
+}
diff --git a/sysdeps/ieee754/ldbl-128/s_frexpl.c b/sysdeps/ieee754/ldbl-128/s_frexpl.c
new file mode 100644
index 0000000..6dbb60e
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_frexpl.c
@@ -0,0 +1,63 @@
+/* s_frexpl.c -- long double version of s_frexp.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * for non-zero x
+ * x = frexpl(arg,&exp);
+ * return a long double fp quantity x such that 0.5 <= |x| <1.0
+ * and the corresponding binary exponent "exp". That is
+ * arg = x*2^exp.
+ * If arg is inf, 0.0, or NaN, then frexpl(arg,&exp) returns arg
+ * with *exp=0.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+two114 = 2.0769187434139310514121985316880384E+34L; /* 0x4071000000000000, 0 */
+
+#ifdef __STDC__
+ long double __frexpl(long double x, int *eptr)
+#else
+ long double __frexpl(x, eptr)
+ long double x; int *eptr;
+#endif
+{
+ u_int64_t hx, lx, ix;
+ GET_LDOUBLE_WORDS64(hx,lx,x);
+ ix = 0x7fffffffffffffffULL&hx;
+ *eptr = 0;
+ if(ix>=0x7fff000000000000ULL||((ix|lx)==0)) return x; /* 0,inf,nan */
+ if (ix<0x0001000000000000ULL) { /* subnormal */
+ x *= two114;
+ GET_LDOUBLE_MSW64(hx,x);
+ ix = hx&0x7fffffffffffffffULL;
+ *eptr = -114;
+ }
+ *eptr += (ix>>48)-16382;
+ hx = (hx&0x8000ffffffffffffULL) | 0x3ffe000000000000ULL;
+ SET_LDOUBLE_MSW64(x,hx);
+ return x;
+}
+weak_alias (__frexpl, frexpl)
diff --git a/sysdeps/ieee754/ldbl-128/s_ilogbl.c b/sysdeps/ieee754/ldbl-128/s_ilogbl.c
new file mode 100644
index 0000000..d2acfd3
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_ilogbl.c
@@ -0,0 +1,55 @@
+/* s_ilogbl.c -- long double version of s_ilogb.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* ilogbl(long double x)
+ * return the binary exponent of non-zero x
+ * ilogbl(0) = 0x80000001
+ * ilogbl(inf/NaN) = 0x7fffffff (no signal is raised)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __ilogbl(long double x)
+#else
+ int __ilogbl(x)
+ long double x;
+#endif
+{
+ int64_t hx,lx;
+ int ix;
+
+ GET_LDOUBLE_WORDS64(hx,lx,x);
+ hx &= 0x7fffffffffffffffLL;
+ if(hx <= 0x0001000000000000LL) {
+ if((hx|lx)==0)
+ return FP_ILOGB0; /* ilogbl(0) = FP_ILOGB0 */
+ else /* subnormal x */
+ if(hx==0) {
+ for (ix = -16431; lx>0; lx<<=1) ix -=1;
+ } else {
+ for (ix = -16382, hx<<=15; hx>0; hx<<=1) ix -=1;
+ }
+ return ix;
+ }
+ else if (hx<0x7fff000000000000LL) return (hx>>48)-0x3fff;
+ else return FP_ILOGBNAN;
+}
+weak_alias (__ilogbl, ilogbl)
diff --git a/sysdeps/ieee754/ldbl-128/s_isinfl.c b/sysdeps/ieee754/ldbl-128/s_isinfl.c
new file mode 100644
index 0000000..038c294
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_isinfl.c
@@ -0,0 +1,28 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Change for long double by Jakub Jelinek <jj@ultra.linux.cz>
+ * Public domain.
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * isinfl(x) returns 1 if x is inf, -1 if x is -inf, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+int
+__isinfl (long double x)
+{
+ int64_t hx,lx;
+ GET_LDOUBLE_WORDS64(hx,lx,x);
+ lx |= (hx & 0x7fffffffffffffffLL) ^ 0x7fff000000000000LL;
+ lx |= -lx;
+ return ~(lx >> 63) & (hx >> 62);
+}
+weak_alias (__isinfl, isinfl)
diff --git a/sysdeps/ieee754/ldbl-128/s_isnanl.c b/sysdeps/ieee754/ldbl-128/s_isnanl.c
new file mode 100644
index 0000000..d2fb403
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_isnanl.c
@@ -0,0 +1,42 @@
+/* s_isnanl.c -- long double version of s_isnan.c.
+ * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * isnanl(x) returns 1 is x is nan, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __isnanl(long double x)
+#else
+ int __isnanl(x)
+ long double x;
+#endif
+{
+ int64_t hx,lx;
+ GET_LDOUBLE_WORDS64(hx,lx,x);
+ hx &= 0x7fffffffffffffffLL;
+ hx |= (u_int64_t)(lx|(-lx))>>63;
+ hx = 0x7fff000000000000LL - hx;
+ return (int)((u_int64_t)hx>>63);
+}
+weak_alias (__isnanl, isnanl)
diff --git a/sysdeps/ieee754/ldbl-128/s_llrintl.c b/sysdeps/ieee754/ldbl-128/s_llrintl.c
new file mode 100644
index 0000000..389a65d
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_llrintl.c
@@ -0,0 +1,75 @@
+/* Round argument to nearest integral value according to current rounding
+ direction.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
+ Jakub Jelinek <jj@ultra.linux.cz>, 1999.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+static const long double two112[2] =
+{
+ 5.19229685853482762853049632922009600E+33L, /* 0x406F000000000000, 0 */
+ -5.19229685853482762853049632922009600E+33L /* 0xC06F000000000000, 0 */
+};
+
+long long int
+__llrintl (long double x)
+{
+ int32_t j0;
+ u_int64_t i0,i1;
+ volatile long double w;
+ long double t;
+ long long int result;
+ int sx;
+
+ GET_LDOUBLE_WORDS64 (i0, i1, x);
+ j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
+ sx = i0 >> 63;
+ i0 &= 0x0000ffffffffffffLL;
+ i0 |= 0x0001000000000000LL;
+
+ if (j0 < (int32_t) (8 * sizeof (long long int)) - 1)
+ {
+ if (j0 < -1)
+ return 0;
+ w = two112[sx] + x;
+ t = w - two112[sx];
+ GET_LDOUBLE_WORDS64 (i0, i1, x);
+ j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
+ i0 &= 0x0000ffffffffffffLL;
+ i0 |= 0x0001000000000000LL;
+
+ if (j0 <= 48)
+ result = i0 >> (48 - j0);
+ else
+ result = ((long long int) i0 << (j0 - 48)) | (i1 >> (112 - j0));
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long long int) x;
+ }
+
+ return sx ? -result : result;
+}
+
+weak_alias (__llrintl, llrintl)
diff --git a/sysdeps/ieee754/ldbl-128/s_llroundl.c b/sysdeps/ieee754/ldbl-128/s_llroundl.c
new file mode 100644
index 0000000..82395a7
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_llroundl.c
@@ -0,0 +1,74 @@
+/* Round long double value to long long int.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
+ Jakub Jelinek <jj@ultra.linux.cz>, 1999.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+long long int
+__llroundl (long double x)
+{
+ int64_t j0;
+ u_int64_t i1, i0;
+ long long int result;
+ int sign;
+
+ GET_LDOUBLE_WORDS64 (i0, i1, x);
+ j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
+ sign = (i0 & 0x8000000000000000ULL) != 0 ? -1 : 1;
+ i0 &= 0x0000ffffffffffffLL;
+ i0 |= 0x0001000000000000LL;
+
+ if (j0 < 48)
+ {
+ if (j0 < 0)
+ return j0 < -1 ? 0 : sign;
+ else
+ {
+ i0 += 0x0000800000000000LL >> j0;
+ result = i0 >> (48 - j0);
+ }
+ }
+ else if (j0 < (int32_t) (8 * sizeof (long long int)) - 1)
+ {
+ if (j0 >= 112)
+ result = ((long long int) i0 << (j0 - 48)) | (i1 << (j0 - 112));
+ else
+ {
+ u_int64_t j = i1 + (0x8000000000000000ULL >> (j0 - 48));
+ if (j < i1)
+ ++i0;
+
+ result = ((long long int) i0 << (j0 - 48)) | (j >> (112 - j0));
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long long int) x;
+ }
+
+ return sign * result;
+}
+
+weak_alias (__llroundl, llroundl)
diff --git a/sysdeps/ieee754/ldbl-128/s_logbl.c b/sysdeps/ieee754/ldbl-128/s_logbl.c
new file mode 100644
index 0000000..1fda289
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_logbl.c
@@ -0,0 +1,46 @@
+/* s_logbl.c -- long double version of s_logb.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * long double logbl(x)
+ * IEEE 754 logb. Included to pass IEEE test suite. Not recommend.
+ * Use ilogb instead.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __logbl(long double x)
+#else
+ long double __logbl(x)
+ long double x;
+#endif
+{
+ int64_t lx,hx;
+ GET_LDOUBLE_WORDS64(hx,lx,x);
+ hx &= 0x7fffffffffffffffLL; /* high |x| */
+ if((hx|lx)==0) return -1.0/fabs(x);
+ if(hx>=0x7fff000000000000LL) return x*x;
+ if((hx>>=48)==0) /* IEEE 754 logb */
+ return -16382.0;
+ else
+ return (long double) (hx-0x3fff);
+}
+weak_alias (__logbl, logbl)
diff --git a/sysdeps/ieee754/ldbl-128/s_lrintl.c b/sysdeps/ieee754/ldbl-128/s_lrintl.c
new file mode 100644
index 0000000..434aa31
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_lrintl.c
@@ -0,0 +1,91 @@
+/* Round argument to nearest integral value according to current rounding
+ direction.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
+ Jakub Jelinek <jj@ultra.linux.cz>, 1999.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+static const long double two112[2] =
+{
+ 5.19229685853482762853049632922009600E+33L, /* 0x406F000000000000, 0 */
+ -5.19229685853482762853049632922009600E+33L /* 0xC06F000000000000, 0 */
+};
+
+long int
+__lrintl (long double x)
+{
+ int32_t j0;
+ u_int64_t i0,i1;
+ volatile long double w;
+ long double t;
+ long int result;
+ int sx;
+
+ GET_LDOUBLE_WORDS64 (i0, i1, x);
+ j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
+ sx = i0 >> 63;
+ i0 &= 0x0000ffffffffffffLL;
+ i0 |= 0x0001000000000000LL;
+
+ if (j0 < 48)
+ {
+ if (j0 < -1)
+ return 0;
+ else
+ {
+ w = two112[sx] + x;
+ t = w - two112[sx];
+ GET_LDOUBLE_WORDS64 (i0, i1, x);
+ j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
+ i0 &= 0x0000ffffffffffffLL;
+ i0 |= 0x0001000000000000LL;
+
+ result = i0 >> (48 - j0);
+ }
+ }
+ else if (j0 < (int32_t) (8 * sizeof (long int)) - 1)
+ {
+ if (j0 >= 112)
+ result = ((long int) i0 << (j0 - 48)) | (i1 << (j0 - 112));
+ else
+ {
+ w = two112[sx] + x;
+ t = w - two112[sx];
+ GET_LDOUBLE_WORDS64 (i0, i1, x);
+ j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
+ i0 &= 0x0000ffffffffffffLL;
+ i0 |= 0x0001000000000000LL;
+
+ result = ((long int) i0 << (j0 - 48)) | (i1 >> (112 - j0));
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long int) x;
+ }
+
+ return sx ? -result : result;
+}
+
+weak_alias (__lrintl, lrintl)
diff --git a/sysdeps/ieee754/ldbl-128/s_lroundl.c b/sysdeps/ieee754/ldbl-128/s_lroundl.c
new file mode 100644
index 0000000..ea82f4c
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_lroundl.c
@@ -0,0 +1,74 @@
+/* Round long double value to long int.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
+ Jakub Jelinek <jj@ultra.linux.cz>, 1999.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+long int
+__lroundl (long double x)
+{
+ int64_t j0;
+ u_int64_t i1, i0;
+ long int result;
+ int sign;
+
+ GET_LDOUBLE_WORDS64 (i0, i1, x);
+ j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
+ sign = (i0 & 0x8000000000000000ULL) != 0 ? -1 : 1;
+ i0 &= 0x0000ffffffffffffLL;
+ i0 |= 0x0001000000000000LL;
+
+ if (j0 < 48)
+ {
+ if (j0 < 0)
+ return j0 < -1 ? 0 : sign;
+ else
+ {
+ i0 += 0x0000800000000000LL >> j0;
+ result = i0 >> (48 - j0);
+ }
+ }
+ else if (j0 < (int32_t) (8 * sizeof (long int)) - 1)
+ {
+ if (j0 >= 112)
+ result = ((long int) i0 << (j0 - 48)) | (i1 << (j0 - 112));
+ else
+ {
+ u_int64_t j = i1 + (0x8000000000000000ULL >> (j0 - 48));
+ if (j < i1)
+ ++i0;
+
+ result = ((long int) i0 << (j0 - 48)) | (j >> (112 - j0));
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long int) x;
+ }
+
+ return sign * result;
+}
+
+weak_alias (__lroundl, lroundl)
diff --git a/sysdeps/ieee754/ldbl-128/s_modfl.c b/sysdeps/ieee754/ldbl-128/s_modfl.c
new file mode 100644
index 0000000..63d66e7
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_modfl.c
@@ -0,0 +1,88 @@
+/* s_modfl.c -- long double version of s_modf.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * modfl(long double x, long double *iptr)
+ * return fraction part of x, and return x's integral part in *iptr.
+ * Method:
+ * Bit twiddling.
+ *
+ * Exception:
+ * No exception.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double one = 1.0;
+#else
+static long double one = 1.0;
+#endif
+
+#ifdef __STDC__
+ long double __modfl(long double x, long double *iptr)
+#else
+ long double __modfl(x, iptr)
+ long double x,*iptr;
+#endif
+{
+ int64_t i0,i1,j0;
+ u_int64_t i;
+ GET_LDOUBLE_WORDS64(i0,i1,x);
+ j0 = ((i0>>48)&0x7fff)-0x3fff; /* exponent of x */
+ if(j0<48) { /* integer part in high x */
+ if(j0<0) { /* |x|<1 */
+ /* *iptr = +-0 */
+ SET_LDOUBLE_WORDS64(*iptr,i0&0x8000000000000000ULL,0);
+ return x;
+ } else {
+ i = (0x0000ffffffffffffLL)>>j0;
+ if(((i0&i)|i1)==0) { /* x is integral */
+ *iptr = x;
+ /* return +-0 */
+ SET_LDOUBLE_WORDS64(x,i0&0x8000000000000000ULL,0);
+ return x;
+ } else {
+ SET_LDOUBLE_WORDS64(*iptr,i0&(~i),0);
+ return x - *iptr;
+ }
+ }
+ } else if (j0>111) { /* no fraction part */
+ *iptr = x*one;
+ /* We must handle NaNs separately. */
+ if (j0 == 0x4000 && ((i0 & 0x0000ffffffffffffLL) | i1))
+ return x*one;
+ /* return +-0 */
+ SET_LDOUBLE_WORDS64(x,i0&0x8000000000000000ULL,0);
+ return x;
+ } else { /* fraction part in low x */
+ i = -1ULL>>(j0-48);
+ if((i1&i)==0) { /* x is integral */
+ *iptr = x;
+ /* return +-0 */
+ SET_LDOUBLE_WORDS64(x,i0&0x8000000000000000ULL,0);
+ return x;
+ } else {
+ SET_LDOUBLE_WORDS64(*iptr,i0,i1&(~i));
+ return x - *iptr;
+ }
+ }
+}
+weak_alias (__modfl, modfl)
diff --git a/sysdeps/ieee754/ldbl-128/s_nearbyintl.c b/sysdeps/ieee754/ldbl-128/s_nearbyintl.c
new file mode 100644
index 0000000..bea3183
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_nearbyintl.c
@@ -0,0 +1,93 @@
+/* s_nearbyintl.c -- long double version of s_nearbyint.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * nearbyintl(x)
+ * Return x rounded to integral value according to the prevailing
+ * rounding mode.
+ * Method:
+ * Using floating addition.
+ * Exception:
+ * Inexact flag raised if x not equal to rintl(x).
+ */
+
+#include <fenv.h>
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+TWO112[2]={
+ 5.19229685853482762853049632922009600E+33L, /* 0x406F000000000000, 0 */
+ -5.19229685853482762853049632922009600E+33L /* 0xC06F000000000000, 0 */
+};
+
+#ifdef __STDC__
+ long double __nearbyintl(long double x)
+#else
+ long double __nearbyintl(x)
+ long double x;
+#endif
+{
+ fenv_t env;
+ int64_t i0,j0,sx;
+ u_int64_t i,i1;
+ long double w,t;
+ GET_LDOUBLE_WORDS64(i0,i1,x);
+ sx = (((u_int64_t)i0)>>63);
+ j0 = ((i0>>48)&0x7fff)-0x3fff;
+ if(j0<48) {
+ if(j0<0) {
+ if(((i0&0x7fffffffffffffffLL)|i1)==0) return x;
+ i1 |= (i0&0x0000ffffffffffffLL);
+ i0 &= 0xffffe00000000000ULL;
+ i0 |= ((i1|-i1)>>16)&0x0000800000000000LL;
+ SET_LDOUBLE_MSW64(x,i0);
+ feholdexcept (&env);
+ w = TWO112[sx]+x;
+ t = w-TWO112[sx];
+ fesetenv (&env);
+ GET_LDOUBLE_MSW64(i0,t);
+ SET_LDOUBLE_MSW64(t,(i0&0x7fffffffffffffffLL)|(sx<<63));
+ return t;
+ } else {
+ i = (0x0000ffffffffffffLL)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ i>>=1;
+ if(((i0&i)|i1)!=0) {
+ if(j0==47) i1 = 0x4000000000000000ULL; else
+ i0 = (i0&(~i))|((0x0000200000000000LL)>>j0);
+ }
+ }
+ } else if (j0>111) {
+ if(j0==0x4000) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = -1ULL>>(j0-48);
+ if((i1&i)==0) return x; /* x is integral */
+ i>>=1;
+ if((i1&i)!=0) i1 = (i1&(~i))|((0x4000000000000000LL)>>(j0-48));
+ }
+ SET_LDOUBLE_WORDS64(x,i0,i1);
+ feholdexcept (&env);
+ w = TWO112[sx]+x;
+ t = w-TWO112[sx];
+ fesetenv (&env);
+ return t;
+}
+weak_alias (__nearbyintl, nearbyintl)
diff --git a/sysdeps/ieee754/ldbl-128/s_nextafterl.c b/sysdeps/ieee754/ldbl-128/s_nextafterl.c
new file mode 100644
index 0000000..d3df668
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_nextafterl.c
@@ -0,0 +1,85 @@
+/* s_nextafterl.c -- long double version of s_nextafter.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* IEEE functions
+ * nextafterl(x,y)
+ * return the next machine floating-point number of x in the
+ * direction toward y.
+ * Special cases:
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __nextafterl(long double x, long double y)
+#else
+ long double __nextafterl(x,y)
+ long double x,y;
+#endif
+{
+ int64_t hx,hy,ix,iy;
+ u_int64_t lx,ly;
+
+ GET_LDOUBLE_WORDS64(hx,lx,x);
+ GET_LDOUBLE_WORDS64(hy,ly,y);
+ ix = hx&0x7fffffffffffffffLL; /* |x| */
+ iy = hy&0x7fffffffffffffffLL; /* |y| */
+
+ if(((ix>=0x7fff000000000000LL)&&((ix-0x7fff000000000000LL)|lx)!=0) || /* x is nan */
+ ((iy>=0x7fff000000000000LL)&&((iy-0x7fff000000000000LL)|ly)!=0)) /* y is nan */
+ return x+y;
+ if(x==y) return y; /* x=y, return y */
+ if((ix|lx)==0) { /* x == 0 */
+ SET_LDOUBLE_WORDS64(x,hy&0x8000000000000000ULL,1);/* return +-minsubnormal */
+ y = x*x;
+ if(y==x) return y; else return x; /* raise underflow flag */
+ }
+ if(hx>=0) { /* x > 0 */
+ if(hx>hy||((hx==hy)&&(lx>ly))) { /* x > y, x -= ulp */
+ if(lx==0) hx--;
+ lx--;
+ } else { /* x < y, x += ulp */
+ lx++;
+ if(lx==0) hx++;
+ }
+ } else { /* x < 0 */
+ if(hy>=0||hx>hy||((hx==hy)&&(lx>ly))){/* x < y, x -= ulp */
+ if(lx==0) hx--;
+ lx--;
+ } else { /* x > y, x += ulp */
+ lx++;
+ if(lx==0) hx++;
+ }
+ }
+ hy = hx&0x7fff000000000000LL;
+ if(hy==0x7fff000000000000LL) return x+x;/* overflow */
+ if(hy==0) { /* underflow */
+ y = x*x;
+ if(y!=x) { /* raise underflow flag */
+ SET_LDOUBLE_WORDS64(y,hx,lx);
+ return y;
+ }
+ }
+ SET_LDOUBLE_WORDS64(x,hx,lx);
+ return x;
+}
+weak_alias (__nextafterl, nextafterl)
+strong_alias (__nextafterl, __nexttowardl)
+weak_alias (__nextafterl, nexttowardl)
diff --git a/sysdeps/ieee754/ldbl-128/s_nexttoward.c b/sysdeps/ieee754/ldbl-128/s_nexttoward.c
new file mode 100644
index 0000000..f121be2
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_nexttoward.c
@@ -0,0 +1,97 @@
+/* s_nexttoward.c
+ * Conversion from s_nextafter.c by Ulrich Drepper, Cygnus Support,
+ * drepper@cygnus.com and Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* IEEE functions
+ * nexttoward(x,y)
+ * return the next machine floating-point number of x in the
+ * direction toward y.
+ * Special cases:
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __nexttoward(double x, long double y)
+#else
+ double __nexttoward(x,y)
+ double x;
+ long double y;
+#endif
+{
+ int32_t hx,ix;
+ int64_t hy,iy;
+ u_int32_t lx;
+ u_int64_t ly;
+
+ EXTRACT_WORDS(hx,lx,x);
+ GET_LDOUBLE_WORDS64(hy,ly,y);
+ ix = hx&0x7fffffff; /* |x| */
+ iy = hy&0x7fffffffffffffffLL; /* |y| */
+
+ if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || /* x is nan */
+ ((iy>=0x7fff000000000000LL)&&((iy-0x7fff000000000000LL)|ly)!=0))
+ /* y is nan */
+ return x+y;
+ if((long double) x==y) return x; /* x=y, return x */
+ if((ix|lx)==0) { /* x == 0 */
+ double x2;
+ INSERT_WORDS(x,(u_int32_t)((hy>>32)&0x80000000),1);/* return +-minsub */
+ x2 = x*x;
+ if(x2==x) return x2; else return x; /* raise underflow flag */
+ }
+ if(hx>=0) { /* x > 0 */
+ if (hy<0||(ix>>20)>(iy>>48)-0x3c00
+ || ((ix>>20)==(iy>>48)-0x3c00
+ && (((((int64_t)hx)<<28)|(lx>>4))>(hy&0x0000ffffffffffffLL)
+ || (((((int64_t)hx)<<28)|(lx>>4))==(hy&0x0000ffffffffffffLL)
+ && (lx&0xf)>(ly>>60))))) { /* x > y, x -= ulp */
+ if(lx==0) hx -= 1;
+ lx -= 1;
+ } else { /* x < y, x += ulp */
+ lx += 1;
+ if(lx==0) hx += 1;
+ }
+ } else { /* x < 0 */
+ if (hy>=0||(ix>>20)>(iy>>48)-0x3c00
+ || ((ix>>20)==(iy>>48)-0x3c00
+ && (((((int64_t)hx)<<28)|(lx>>4))>(hy&0x0000ffffffffffffLL)
+ || (((((int64_t)hx)<<28)|(lx>>4))==(hy&0x0000ffffffffffffLL)
+ && (lx&0xf)>(ly>>60))))) { /* x < y, x -= ulp */
+ if(lx==0) hx -= 1;
+ lx -= 1;
+ } else { /* x > y, x += ulp */
+ lx += 1;
+ if(lx==0) hx += 1;
+ }
+ }
+ hy = hx&0x7ff00000;
+ if(hy>=0x7ff00000) return x+x; /* overflow */
+ if(hy<0x00100000) { /* underflow */
+ double x2 = x*x;
+ if(x2!=x) { /* raise underflow flag */
+ INSERT_WORDS(x2,hx,lx);
+ return x2;
+ }
+ }
+ INSERT_WORDS(x,hx,lx);
+ return x;
+}
+weak_alias (__nexttoward, nexttoward)
diff --git a/sysdeps/ieee754/ldbl-128/s_nexttowardf.c b/sysdeps/ieee754/ldbl-128/s_nexttowardf.c
new file mode 100644
index 0000000..1a22e01
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_nexttowardf.c
@@ -0,0 +1,81 @@
+/* s_nexttowardf.c -- float version of s_nextafter.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com
+ * and Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __nexttowardf(float x, long double y)
+#else
+ float __nexttowardf(x,y)
+ float x;
+ long double y;
+#endif
+{
+ int32_t hx,ix;
+ int64_t hy,iy;
+ u_int64_t ly;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_LDOUBLE_WORDS64(hy,ly,y);
+ ix = hx&0x7fffffff; /* |x| */
+ iy = hy&0x7fffffffffffffffLL; /* |y| */
+
+ if((ix>0x7f800000) || /* x is nan */
+ ((iy>=0x7fff000000000000LL)&&((iy-0x7fff000000000000LL)|ly)!=0))
+ /* y is nan */
+ return x+y;
+ if((long double) x==y) return y; /* x=y, return y */
+ if(ix==0) { /* x == 0 */
+ float x2;
+ SET_FLOAT_WORD(x,(u_int32_t)((hy>>32)&0x80000000)|1);/* return +-minsub*/
+ x2 = x*x;
+ if(x2==x) return x2; else return x; /* raise underflow flag */
+ }
+ if(hx>=0) { /* x > 0 */
+ if(hy<0||(ix>>23)>(iy>>48)-0x3f80
+ || ((ix>>23)==(iy>>48)-0x3f80
+ && (ix&0x7fffff)>((hy>>25)&0x7fffff))) {/* x > y, x -= ulp */
+ hx -= 1;
+ } else { /* x < y, x += ulp */
+ hx += 1;
+ }
+ } else { /* x < 0 */
+ if(hy>=0||(ix>>23)>(iy>>48)-0x3f80
+ || ((ix>>23)==(iy>>48)-0x3f80
+ && (ix&0x7fffff)>((hy>>25)&0x7fffff))) {/* x < y, x -= ulp */
+ hx -= 1;
+ } else { /* x > y, x += ulp */
+ hx += 1;
+ }
+ }
+ hy = hx&0x7f800000;
+ if(hy>=0x7f800000) return x+x; /* overflow */
+ if(hy<0x00800000) { /* underflow */
+ float x2 = x*x;
+ if(x2!=x) { /* raise underflow flag */
+ SET_FLOAT_WORD(x2,hx);
+ return x2;
+ }
+ }
+ SET_FLOAT_WORD(x,hx);
+ return x;
+}
+weak_alias (__nexttowardf, nexttowardf)
diff --git a/sysdeps/ieee754/ldbl-128/s_remquol.c b/sysdeps/ieee754/ldbl-128/s_remquol.c
new file mode 100644
index 0000000..0d26958
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_remquol.c
@@ -0,0 +1,110 @@
+/* Compute remainder and a congruent to the quotient.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
+ Jakub Jelinek <jj@ultra.linux.cz>, 1999.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+static const long double zero = 0.0;
+
+
+long double
+__remquol (long double x, long double y, int *quo)
+{
+ int64_t hx,hy;
+ u_int64_t sx,lx,ly;
+ int cquo,qs;
+
+ GET_LDOUBLE_WORDS64 (hx, lx, x);
+ GET_LDOUBLE_WORDS64 (hy, ly, y);
+ sx = hx & 0x8000000000000000ULL;
+ qs = sx ^ (hy & 0x8000000000000000ULL);
+ hy &= 0x7fffffffffffffffLL;
+ hx &= 0x7fffffffffffffffLL;
+
+ /* Purge off exception values. */
+ if ((hy | ly) == 0)
+ return (x * y) / (x * y); /* y = 0 */
+ if ((hx >= 0x7fff000000000000LL) /* x not finite */
+ || ((hy >= 0x7fff000000000000LL) /* y is NaN */
+ && (((hy - 0x7fff000000000000LL) | ly) != 0)))
+ return (x * y) / (x * y);
+
+ if (hy <= 0x7ffbffffffffffffLL)
+ x = __ieee754_fmodl (x, 8 * y); /* now x < 8y */
+
+ if (((hx - hy) | (lx - ly)) == 0)
+ {
+ *quo = qs ? -1 : 1;
+ return zero * x;
+ }
+
+ x = fabsl (x);
+ y = fabsl (y);
+ cquo = 0;
+
+ if (x >= 4 * y)
+ {
+ x -= 4 * y;
+ cquo += 4;
+ }
+ if (x >= 2 * y)
+ {
+ x -= 2 * y;
+ cquo += 2;
+ }
+
+ if (hy < 0x0002000000000000LL)
+ {
+ if (x + x > y)
+ {
+ x -= y;
+ ++cquo;
+ if (x + x >= y)
+ {
+ x -= y;
+ ++cquo;
+ }
+ }
+ }
+ else
+ {
+ long double y_half = 0.5L * y;
+ if (x > y_half)
+ {
+ x -= y;
+ ++cquo;
+ if (x >= y_half)
+ {
+ x -= y;
+ ++cquo;
+ }
+ }
+ }
+
+ *quo = qs ? -cquo : cquo;
+
+ if (sx)
+ x = -x;
+ return x;
+}
+weak_alias (__remquol, remquol)
diff --git a/sysdeps/ieee754/ldbl-128/s_rintl.c b/sysdeps/ieee754/ldbl-128/s_rintl.c
new file mode 100644
index 0000000..c3fc3ba
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_rintl.c
@@ -0,0 +1,90 @@
+/* s_rintl.c -- long double version of s_rint.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * rintl(x)
+ * Return x rounded to integral value according to the prevailing
+ * rounding mode.
+ * Method:
+ * Using floating addition.
+ * Exception:
+ * Inexact flag raised if x not equal to rintl(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+TWO112[2]={
+ 5.19229685853482762853049632922009600E+33L, /* 0x406F000000000000, 0 */
+ -5.19229685853482762853049632922009600E+33L /* 0xC06F000000000000, 0 */
+};
+
+#ifdef __STDC__
+ long double __rintl(long double x)
+#else
+ long double __rintl(x)
+ long double x;
+#endif
+{
+ int64_t i0,j0,sx;
+ u_int64_t i,i1;
+ long double w,t;
+ GET_LDOUBLE_WORDS64(i0,i1,x);
+ sx = (((u_int64_t)i0)>>63);
+ j0 = ((i0>>48)&0x7fff)-0x3fff;
+ if(j0<48) {
+ if(j0<0) {
+ if(((i0&0x7fffffffffffffffLL)|i1)==0) return x;
+ i1 |= (i0&0x0000ffffffffffffLL);
+ i0 &= 0xffffe00000000000ULL;
+ i0 |= ((i1|-i1)>>16)&0x0000800000000000LL;
+ SET_LDOUBLE_MSW64(x,i0);
+ w = TWO112[sx]+x;
+ t = w-TWO112[sx];
+ GET_LDOUBLE_MSW64(i0,t);
+ SET_LDOUBLE_MSW64(t,(i0&0x7fffffffffffffffLL)|(sx<<63));
+ return t;
+ } else {
+ i = (0x0000ffffffffffffLL)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ i>>=1;
+ if(((i0&i)|i1)!=0) {
+ if(j0==47) i1 = 0x4000000000000000ULL; else
+ i0 = (i0&(~i))|((0x0000200000000000LL)>>j0);
+ }
+ }
+ } else if (j0>111) {
+ if(j0==0x4000) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = -1ULL>>(j0-48);
+ if((i1&i)==0) return x; /* x is integral */
+ i>>=1;
+ if((i1&i)!=0) i1 = (i1&(~i))|((0x4000000000000000LL)>>(j0-48));
+ }
+ SET_LDOUBLE_WORDS64(x,i0,i1);
+ w = TWO112[sx]+x;
+ return w-TWO112[sx];
+}
+weak_alias (__rintl, rintl)
diff --git a/sysdeps/ieee754/ldbl-128/s_roundl.c b/sysdeps/ieee754/ldbl-128/s_roundl.c
new file mode 100644
index 0000000..f9fff48
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_roundl.c
@@ -0,0 +1,94 @@
+/* Round long double to integer away from zero.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
+ Jakub Jelinek <jj@ultra.linux.cz>, 1999.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+static const long double huge = 1.0E4930L;
+
+
+long double
+__roundl (long double x)
+{
+ int32_t j0;
+ u_int64_t se, i1, i0;
+
+ GET_LDOUBLE_WORDS64 (i0, i1, x);
+ j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
+ if (j0 < 31)
+ {
+ if (j0 < 0)
+ {
+ if (huge + x > 0.0)
+ {
+ i0 &= 0x8000000000000000ULL;
+ if (j0 == -1)
+ i0 |= 0x3fff000000000000LL;
+ i1 = 0;
+ }
+ }
+ else
+ {
+ u_int64_t i = 0x0000ffffffffffffLL >> j0;
+ if (((i0 & i) | i1) == 0)
+ /* X is integral. */
+ return x;
+ if (huge + x > 0.0)
+ {
+ /* Raise inexact if x != 0. */
+ i0 += 0x0000800000000000LL >> j0;
+ i0 &= ~i;
+ i1 = 0;
+ }
+ }
+ }
+ else if (j0 > 111)
+ {
+ if (j0 == 0x4000)
+ /* Inf or NaN. */
+ return x + x;
+ else
+ return x;
+ }
+ else
+ {
+ u_int64_t i = -1ULL >> (j0 - 48);
+ if ((i1 & i) == 0)
+ /* X is integral. */
+ return x;
+
+ if (huge + x > 0.0)
+ {
+ /* Raise inexact if x != 0. */
+ u_int64_t j = i1 + (1LL << (111 - j0));
+ if (j < i1)
+ i0 += 1;
+ i1 = j;
+ }
+ i1 &= ~i;
+ }
+
+ SET_LDOUBLE_WORDS64 (x, i0, i1);
+ return x;
+}
+weak_alias (__roundl, roundl)
diff --git a/sysdeps/ieee754/ldbl-128/s_scalblnl.c b/sysdeps/ieee754/ldbl-128/s_scalblnl.c
new file mode 100644
index 0000000..5e8b58b
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_scalblnl.c
@@ -0,0 +1,70 @@
+/* s_scalblnl.c -- long double version of s_scalbn.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/* @(#)s_scalbn.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * scalblnl (long double x, long int n)
+ * scalblnl(x,n) returns x* 2**n computed by exponent
+ * manipulation rather than by actually performing an
+ * exponentiation or a multiplication.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+two114 = 2.0769187434139310514121985316880384E+34L, /* 0x4071000000000000, 0 */
+twom114 = 4.8148248609680896326399448564623183E-35L, /* 0x3F8D000000000000, 0 */
+huge = 1.0E+4900L,
+tiny = 1.0E-4900L;
+
+#ifdef __STDC__
+ long double __scalblnl (long double x, long int n)
+#else
+ long double __scalblnl (x,n)
+ long double x; long int n;
+#endif
+{
+ int64_t k,hx,lx;
+ GET_LDOUBLE_WORDS64(hx,lx,x);
+ k = (hx>>48)&0x7fff; /* extract exponent */
+ if (k==0) { /* 0 or subnormal x */
+ if ((lx|(hx&0x7fffffffffffffffULL))==0) return x; /* +-0 */
+ x *= two114;
+ GET_LDOUBLE_MSW64(hx,x);
+ k = ((hx>>48)&0x7fff) - 114;
+ }
+ if (k==0x7fff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (n> 50000 || k > 0x7ffe)
+ return huge*__copysignl(huge,x); /* overflow */
+ if (n< -50000) return tiny*__copysignl(tiny,x); /*underflow*/
+ if (k > 0) /* normal result */
+ {SET_LDOUBLE_MSW64(x,(hx&0x8000ffffffffffffULL)|(k<<48)); return x;}
+ if (k <= -114)
+ return tiny*__copysignl(tiny,x); /*underflow*/
+ k += 114; /* subnormal result */
+ SET_LDOUBLE_MSW64(x,(hx&0x8000ffffffffffffULL)|(k<<48));
+ return x*twom114;
+}
+weak_alias (__scalblnl, scalblnl)
diff --git a/sysdeps/ieee754/ldbl-128/s_scalbnl.c b/sysdeps/ieee754/ldbl-128/s_scalbnl.c
new file mode 100644
index 0000000..c54f064
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_scalbnl.c
@@ -0,0 +1,70 @@
+/* s_scalbnl.c -- long double version of s_scalbn.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/* @(#)s_scalbn.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * scalbnl (long double x, int n)
+ * scalbnl(x,n) returns x* 2**n computed by exponent
+ * manipulation rather than by actually performing an
+ * exponentiation or a multiplication.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+two114 = 2.0769187434139310514121985316880384E+34L, /* 0x4071000000000000, 0 */
+twom114 = 4.8148248609680896326399448564623183E-35L, /* 0x3F8D000000000000, 0 */
+huge = 1.0E+4900L,
+tiny = 1.0E-4900L;
+
+#ifdef __STDC__
+ long double __scalbnl (long double x, int n)
+#else
+ long double __scalbnl (x,n)
+ long double x; int n;
+#endif
+{
+ int64_t k,hx,lx;
+ GET_LDOUBLE_WORDS64(hx,lx,x);
+ k = (hx>>48)&0x7fff; /* extract exponent */
+ if (k==0) { /* 0 or subnormal x */
+ if ((lx|(hx&0x7fffffffffffffffULL))==0) return x; /* +-0 */
+ x *= two114;
+ GET_LDOUBLE_MSW64(hx,x);
+ k = ((hx>>48)&0x7fff) - 114;
+ }
+ if (k==0x7fff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (n> 50000 || k > 0x7ffe)
+ return huge*__copysignl(huge,x); /* overflow */
+ if (n< -50000) return tiny*__copysignl(tiny,x); /*underflow*/
+ if (k > 0) /* normal result */
+ {SET_LDOUBLE_MSW64(x,(hx&0x8000ffffffffffffULL)|(k<<48)); return x;}
+ if (k <= -114)
+ return tiny*__copysignl(tiny,x); /*underflow*/
+ k += 114; /* subnormal result */
+ SET_LDOUBLE_MSW64(x,(hx&0x8000ffffffffffffULL)|(k<<48));
+ return x*twom114;
+}
+weak_alias (__scalbnl, scalbnl)
diff --git a/sysdeps/ieee754/ldbl-128/s_signbitl.c b/sysdeps/ieee754/ldbl-128/s_signbitl.c
new file mode 100644
index 0000000..52a0afb
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_signbitl.c
@@ -0,0 +1,32 @@
+/* Return nonzero value if number is negative.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+int
+__signbitl (long double x)
+{
+ int64_t e;
+
+ GET_LDOUBLE_MSW64 (e, x);
+ return e < 0;
+}
diff --git a/sysdeps/ieee754/ldbl-128/s_sincosl.c b/sysdeps/ieee754/ldbl-128/s_sincosl.c
new file mode 100644
index 0000000..2d74e72
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_sincosl.c
@@ -0,0 +1,77 @@
+/* Compute sine and cosine of argument.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
+ Jakub Jelinek <jj@ultra.linux.cz>.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+/* Note: We should probably introduce __kernel_sincosl to speed things up,
+ because __kernel_{cos,sin}l sometimes compute both sine and cosine. */
+
+void
+__sincosl (long double x, long double *sinx, long double *cosx)
+{
+ int64_t ix;
+
+ /* High word of x. */
+ GET_LDOUBLE_MSW64 (ix, x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffffffffffffLL;
+ if (ix <= 0x3ffe921fb54442d1LL)
+ {
+ *sinx = __kernel_sinl (x, 0.0, 0);
+ *cosx = __kernel_cosl (x, 0.0);
+ }
+ else if (ix >= 0x7fff000000000000LL)
+ {
+ /* sin(Inf or NaN) is NaN */
+ *sinx = *cosx = x - x;
+ }
+ else
+ {
+ /* Argument reduction needed. */
+ long double y[2];
+ int n;
+
+ n = __ieee754_rem_pio2l (x, y);
+ switch (n & 3)
+ {
+ case 0:
+ *sinx = __kernel_sinl (y[0], y[1], 1);
+ *cosx = __kernel_cosl (y[0], y[1]);
+ break;
+ case 1:
+ *sinx = __kernel_cosl (y[0], y[1]);
+ *cosx = -__kernel_sinl (y[0], y[1], 1);
+ break;
+ case 2:
+ *sinx = -__kernel_sinl (y[0], y[1], 1);
+ *cosx = -__kernel_cosl (y[0], y[1]);
+ break;
+ default:
+ *sinx = -__kernel_cosl (y[0], y[1]);
+ *cosx = __kernel_sinl (y[0], y[1], 1);
+ break;
+ }
+ }
+}
+weak_alias (__sincosl, sincosl)
diff --git a/sysdeps/ieee754/ldbl-128/s_sinl.c b/sysdeps/ieee754/ldbl-128/s_sinl.c
new file mode 100644
index 0000000..446a75f
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_sinl.c
@@ -0,0 +1,83 @@
+/* s_sinl.c -- long double version of s_sin.c.
+ * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* 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
+ *
+ * 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
+ *
+ * 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
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __sinl(long double x)
+#else
+ long double __sinl(x)
+ long double x;
+#endif
+{
+ long double y[2],z=0.0L;
+ int64_t n, ix;
+
+ /* High word of x. */
+ GET_LDOUBLE_MSW64(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffffffffffffLL;
+ if(ix <= 0x3ffe921fb54442d1LL)
+ return __kernel_sinl(x,z,0);
+
+ /* sin(Inf or NaN) is NaN */
+ else if (ix>=0x7fff000000000000LL) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2l(x,y);
+ switch(n&3) {
+ case 0: return __kernel_sinl(y[0],y[1],1);
+ case 1: return __kernel_cosl(y[0],y[1]);
+ case 2: return -__kernel_sinl(y[0],y[1],1);
+ default:
+ return -__kernel_cosl(y[0],y[1]);
+ }
+ }
+}
+weak_alias (__sinl, sinl)
diff --git a/sysdeps/ieee754/ldbl-128/s_tanl.c b/sysdeps/ieee754/ldbl-128/s_tanl.c
new file mode 100644
index 0000000..ea9d053
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_tanl.c
@@ -0,0 +1,77 @@
+/* s_tanl.c -- long double version of s_tan.c.
+ * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
+ */
+
+/* @(#)s_tan.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* tanl(x)
+ * Return tangent function of x.
+ *
+ * kernel function:
+ * __kernel_tanl ... tangent 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
+ *
+ * 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
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __tanl(long double x)
+#else
+ long double __tanl(x)
+ long double x;
+#endif
+{
+ long double y[2],z=0.0L;
+ int64_t n, ix;
+
+ /* High word of x. */
+ GET_LDOUBLE_MSW64(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffffffffffffLL;
+ if(ix <= 0x3ffe921fb54442d1LL) return __kernel_tanl(x,z,1);
+
+ /* tanl(Inf or NaN) is NaN */
+ else if (ix>=0x7fff000000000000LL) return x-x; /* NaN */
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2l(x,y);
+ return __kernel_tanl(y[0],y[1],1-((n&1)<<1)); /* 1 -- n even
+ -1 -- n odd */
+ }
+}
+weak_alias (__tanl, tanl)
diff --git a/sysdeps/ieee754/ldbl-128/s_truncl.c b/sysdeps/ieee754/ldbl-128/s_truncl.c
new file mode 100644
index 0000000..bbff5a4
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_truncl.c
@@ -0,0 +1,57 @@
+/* Truncate argument to nearest integral value not larger than the argument.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997 and
+ Jakub Jelinek <jj@ultra.linux.cz>, 1999.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+long double
+__truncl (long double x)
+{
+ int32_t j0;
+ u_int64_t i0, i1, sx;
+
+ GET_LDOUBLE_WORDS64 (i0, i1, x);
+ sx = i0 & 0x8000000000000000ULL;
+ j0 = ((i0 >> 48) & 0x7fff) - 0x3fff;
+ if (j0 < 48)
+ {
+ if (j0 < 0)
+ /* The magnitude of the number is < 1 so the result is +-0. */
+ SET_LDOUBLE_WORDS64 (x, sx, 0);
+ else
+ SET_LDOUBLE_WORDS64 (x, i0 & ~(0x0000ffffffffffffLL >> j0), 0);
+ }
+ else if (j0 > 111)
+ {
+ if (j0 == 0x4000)
+ /* x is inf or NaN. */
+ return x + x;
+ }
+ else
+ {
+ SET_LDOUBLE_WORDS64 (x, i0, i1 & ~(0xffffffffffffffffULL >> (j0 - 48)));
+ }
+
+ return x;
+}
+weak_alias (__truncl, truncl)
diff --git a/sysdeps/ieee754/ldbl-128/strtold.c b/sysdeps/ieee754/ldbl-128/strtold.c
new file mode 100644
index 0000000..32049fc
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/strtold.c
@@ -0,0 +1,42 @@
+/* Copyright (C) 1999 Free Software Foundation, Inc.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+/* The actual implementation for all floating point sizes is in strtod.c.
+ These macros tell it to produce the `long double' version, `strtold'. */
+
+# define FLOAT long double
+# define FLT LDBL
+# ifdef USE_IN_EXTENDED_LOCALE_MODEL
+# define STRTOF __strtold_l
+# else
+# define STRTOF strtold
+# endif
+# define MPN2FLOAT __mpn_construct_long_double
+# define FLOAT_HUGE_VAL HUGE_VALL
+# define SET_MANTISSA(flt, mant) \
+ do { union ieee854_long_double u; \
+ u.d = (flt); \
+ u.ieee.mantissa0 = 0x8000; \
+ u.ieee.mantissa1 = 0; \
+ u.ieee.mantissa2 = ((mant) >> 32); \
+ u.ieee.mantissa3 = (mant) & 0xffffffff; \
+ (flt) = u.d; \
+ } while (0)
+
+# include "strtod.c"
diff --git a/sysdeps/ieee754/ldbl-96/e_acoshl.c b/sysdeps/ieee754/ldbl-96/e_acoshl.c
new file mode 100644
index 0000000..a60704a
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/e_acoshl.c
@@ -0,0 +1,72 @@
+/* e_acoshl.c -- long double version of e_acosh.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* __ieee754_acoshl(x)
+ * Method :
+ * Based on
+ * acoshl(x) = logl [ x + sqrtl(x*x-1) ]
+ * we have
+ * acoshl(x) := logl(x)+ln2, if x is large; else
+ * acoshl(x) := logl(2x-1/(sqrtl(x*x-1)+x)) if x>2; else
+ * acoshl(x) := log1pl(t+sqrtl(2.0*t+t*t)); where t=x-1.
+ *
+ * Special cases:
+ * acoshl(x) is NaN with signal if x<1.
+ * acoshl(NaN) is NaN without signal.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+one = 1.0,
+ln2 = 6.931471805599453094287e-01L; /* 0x3FFE, 0xB17217F7, 0xD1CF79AC */
+
+#ifdef __STDC__
+ long double __ieee754_acoshl(long double x)
+#else
+ long double __ieee754_acoshl(x)
+ long double x;
+#endif
+{
+ long double t;
+ u_int32_t se,i0,i1;
+ GET_LDOUBLE_WORDS(se,i0,i1,x);
+ if(se<0x3fff || se & 0x8000) { /* x < 1 */
+ return (x-x)/(x-x);
+ } else if(se >=0x401b) { /* x > 2**28 */
+ if(se >=0x7fff) { /* x is inf of NaN */
+ return x+x;
+ } else
+ return __ieee754_logl(x)+ln2; /* acoshl(huge)=logl(2x) */
+ } else if(((se-0x3fff)|i0|i1)==0) {
+ return 0.0; /* acosh(1) = 0 */
+ } else if (se > 0x4000) { /* 2**28 > x > 2 */
+ t=x*x;
+ return __ieee754_logl(2.0*x-one/(x+__ieee754_sqrtl(t-one)));
+ } else { /* 1<x<2 */
+ t = x-one;
+ return __log1pl(t+__sqrtl(2.0*t+t*t));
+ }
+}
diff --git a/sysdeps/ieee754/ldbl-96/e_atan2l.c b/sysdeps/ieee754/ldbl-96/e_atan2l.c
new file mode 100644
index 0000000..aff7a3d
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/e_atan2l.c
@@ -0,0 +1,136 @@
+/* e_atan2l.c -- long double version of e_atan2.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* __ieee754_atan2l(y,x)
+ * Method :
+ * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x).
+ * 2. Reduce x to positive by (if x and y are unexceptional):
+ * ARG (x+iy) = arctan(y/x) ... if x > 0,
+ * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0,
+ *
+ * Special cases:
+ *
+ * ATAN2((anything), NaN ) is NaN;
+ * ATAN2(NAN , (anything) ) is NaN;
+ * ATAN2(+-0, +(anything but NaN)) is +-0 ;
+ * ATAN2(+-0, -(anything but NaN)) is +-pi ;
+ * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2;
+ * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ;
+ * ATAN2(+-(anything but INF and NaN), -INF) is +-pi;
+ * ATAN2(+-INF,+INF ) is +-pi/4 ;
+ * ATAN2(+-INF,-INF ) is +-3pi/4;
+ * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2;
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+tiny = 1.0e-4900L,
+zero = 0.0,
+pi_o_4 = 7.85398163397448309628202E-01L, /* 0x3FFE, 0xC90FDAA2, 0x2168C235 */
+pi_o_2 = 1.5707963267948966192564E+00L, /* 0x3FFF, 0xC90FDAA2, 0x2168C235 */
+pi = 3.14159265358979323851281E+00L, /* 0x4000, 0xC90FDAA2, 0x2168C235 */
+pi_lo = -5.01655761266833202345176e-20L;/* 0xBFBE, 0xECE675D1, 0xFC8F8CBB */
+
+#ifdef __STDC__
+ long double __ieee754_atan2l(long double y, long double x)
+#else
+ long double __ieee754_atan2l(y,x)
+ long double y,x;
+#endif
+{
+ long double z;
+ int32_t k,m,hx,hy,ix,iy;
+ u_int32_t sx,sy,lx,ly;
+
+ GET_LDOUBLE_WORDS(sx,hx,lx,x);
+ ix = sx&0x7fff;
+ lx |= hx & 0x7fffffff;
+ GET_LDOUBLE_WORDS(sy,hy,ly,y);
+ iy = sy&0x7fff;
+ ly |= hy & 0x7fffffff;
+ if(((2*ix|((lx|-lx)>>31))>0xfffe)||
+ ((2*iy|((ly|-ly)>>31))>0xfffe)) /* x or y is NaN */
+ return x+y;
+ if((sx-0x3fff|lx)==0) return __atanl(y); /* x=1.0 */
+ m = ((sy>>15)&1)|((sx>>14)&2); /* 2*sign(x)+sign(y) */
+
+ /* when y = 0 */
+ if((iy|ly)==0) {
+ switch(m) {
+ case 0:
+ case 1: return y; /* atan(+-0,+anything)=+-0 */
+ case 2: return pi+tiny;/* atan(+0,-anything) = pi */
+ case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
+ }
+ }
+ /* when x = 0 */
+ if((ix|lx)==0) return (sy>=0x8000)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* when x is INF */
+ if(ix==0x7fff) {
+ if(iy==0x7fff) {
+ switch(m) {
+ case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
+ case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
+ case 2: return 3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
+ case 3: return -3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
+ }
+ } else {
+ switch(m) {
+ case 0: return zero ; /* atan(+...,+INF) */
+ case 1: return -zero ; /* atan(-...,+INF) */
+ case 2: return pi+tiny ; /* atan(+...,-INF) */
+ case 3: return -pi-tiny ; /* atan(-...,-INF) */
+ }
+ }
+ }
+ /* when y is INF */
+ if(iy==0x7fff) return (sy>=0x8000)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* compute y/x */
+ k = sy-sx;
+ if(k > 70) z=pi_o_2+0.5*pi_lo; /* |y/x| > 2**70 */
+ else if(sx>=0x8000&&k<-70) z=0.0; /* |y|/x < -2**70 */
+ else z=__atanl(fabsl(y/x)); /* safe to do y/x */
+ switch (m) {
+ case 0: return z ; /* atan(+,+) */
+ case 1: {
+ u_int32_t sz;
+ GET_LDOUBLE_EXP(sz,z);
+ SET_LDOUBLE_EXP(z,sz ^ 0x8000);
+ }
+ return z ; /* atan(-,+) */
+ case 2: return pi-(z-pi_lo);/* atan(+,-) */
+ default: /* case 3 */
+ return (z-pi_lo)-pi;/* atan(-,-) */
+ }
+}
diff --git a/sysdeps/ieee754/ldbl-96/e_atanhl.c b/sysdeps/ieee754/ldbl-96/e_atanhl.c
new file mode 100644
index 0000000..fdcd1e9
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/e_atanhl.c
@@ -0,0 +1,79 @@
+/* s_atanhl.c -- long double version of s_atan.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* __ieee754_atanhl(x)
+ * Method :
+ * 1.Reduced x to positive by atanh(-x) = -atanh(x)
+ * 2.For x>=0.5
+ * 1 2x x
+ * atanhl(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
+ * 2 1 - x 1 - x
+ *
+ * For x<0.5
+ * atanhl(x) = 0.5*log1pl(2x+2x*x/(1-x))
+ *
+ * Special cases:
+ * atanhl(x) is NaN if |x| > 1 with signal;
+ * atanhl(NaN) is that NaN with no signal;
+ * atanhl(+-1) is +-INF with signal.
+ *
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double one = 1.0, huge = 1e4900L;
+#else
+static long double one = 1.0, huge = 1e4900L;
+#endif
+
+#ifdef __STDC__
+static const long double zero = 0.0;
+#else
+static double long zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ long double __ieee754_atanhl(long double x)
+#else
+ long double __ieee754_atanhl(x)
+ long double x;
+#endif
+{
+ long double t;
+ int32_t ix;
+ u_int32_t se,i0,i1;
+ GET_LDOUBLE_WORDS(se,i0,i1,x);
+ ix = se&0x7fff;
+ if ((ix+((((i0&0x7fffffff)|i1)|(-((i0&0x7fffffff)|i1)))>>31))>0x3fff)
+ /* |x|>1 */
+ return (x-x)/(x-x);
+ if(ix==0x3fff)
+ return x/zero;
+ if(ix<0x3fe3&&(huge+x)>zero) return x; /* x<2**-28 */
+ SET_LDOUBLE_EXP(x,ix);
+ if(ix<0x3ffe) { /* x < 0.5 */
+ t = x+x;
+ t = 0.5*__log1pl(t+t*x/(one-x));
+ } else
+ t = 0.5*__log1pl((x+x)/(one-x));
+ if(se<=0x7fff) return t; else return -t;
+}
diff --git a/sysdeps/ieee754/ldbl-96/e_coshl.c b/sysdeps/ieee754/ldbl-96/e_coshl.c
new file mode 100644
index 0000000..6af846c
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/e_coshl.c
@@ -0,0 +1,94 @@
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_cosh.c,v 1.7 1995/05/10 20:44:58 jtc Exp $";
+#endif
+
+/* __ieee754_coshl(x)
+ * Method :
+ * mathematically coshl(x) if defined to be (exp(x)+exp(-x))/2
+ * 1. Replace x by |x| (coshl(x) = coshl(-x)).
+ * 2.
+ * [ exp(x) - 1 ]^2
+ * 0 <= x <= ln2/2 : coshl(x) := 1 + -------------------
+ * 2*exp(x)
+ *
+ * exp(x) + 1/exp(x)
+ * ln2/2 <= x <= 22 : coshl(x) := -------------------
+ * 2
+ * 22 <= x <= lnovft : coshl(x) := expl(x)/2
+ * lnovft <= x <= ln2ovft: coshl(x) := expl(x/2)/2 * expl(x/2)
+ * ln2ovft < x : coshl(x) := huge*huge (overflow)
+ *
+ * Special cases:
+ * coshl(x) is |x| if x is +INF, -INF, or NaN.
+ * only coshl(0)=1 is exact for finite x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double one = 1.0, half=0.5, huge = 1.0e4900L;
+#else
+static long double one = 1.0, half=0.5, huge = 1.0e4900L;
+#endif
+
+#ifdef __STDC__
+ long double __ieee754_coshl(long double x)
+#else
+ long double __ieee754_coshl(x)
+ long double x;
+#endif
+{
+ long double t,w;
+ int32_t ex;
+ u_int32_t mx,lx;
+
+ /* High word of |x|. */
+ GET_LDOUBLE_WORDS(ex,mx,lx,x);
+ ex &= 0x7fff;
+
+ /* x is INF or NaN */
+ if(ex==0x7fff) return x*x;
+
+ /* |x| in [0,0.5*ln2], return 1+expm1l(|x|)^2/(2*expl(|x|)) */
+ if(ex < 0x3ffd || (ex == 0x3ffd && mx < 0xb17217f7u)) {
+ t = __expm1l(fabsl(x));
+ w = one+t;
+ if (ex<0x3fbc) return w; /* cosh(tiny) = 1 */
+ return one+(t*t)/(w+w);
+ }
+
+ /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
+ if (ex < 0x4003 || (ex == 0x4003 && mx < 0xb0000000u)) {
+ t = __ieee754_expl(fabsl(x));
+ return half*t+half/t;
+ }
+
+ /* |x| in [22, ln(maxdouble)] return half*exp(|x|) */
+ if (ex < 0x400c || (ex == 0x400c && mx < 0xb1700000u))
+ return half*__ieee754_expl(fabsl(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ if (ex < 0x400d
+ || (ex == 0x400d && (mx < 0xb170b513u
+ || (mx == 0xb170b513u && lx < 0xa1dfd60cu))))
+ {
+ w = __ieee754_expl(half*fabsl(x));
+ t = half*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthresold, cosh(x) overflow */
+ return huge*huge;
+}
diff --git a/sysdeps/ieee754/ldbl-96/e_gammal_r.c b/sysdeps/ieee754/ldbl-96/e_gammal_r.c
new file mode 100644
index 0000000..1049924
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/e_gammal_r.c
@@ -0,0 +1,50 @@
+/* Implementation of gamma function according to ISO C.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+#include <math_private.h>
+
+
+long double
+__ieee754_gammal_r (long double x, int *signgamp)
+{
+ /* We don't have a real gamma implementation now. We'll use lgamma
+ and the exp function. But due to the required boundary
+ conditions we must check some values separately. */
+ u_int32_t es, hx, lx;
+
+ GET_LDOUBLE_WORDS (es, hx, lx, x);
+
+ if (((es & 0x7fff) | hx | lx) == 0)
+ {
+ /* Return value for x == 0 is NaN with invalid exception. */
+ *signgamp = 0;
+ return x / x;
+ }
+ if ((hx & 0x8000) != 0 && (hx & 0x7fff) != 0x7fff && __rintl (x) == x)
+ {
+ /* Return value for integer x < 0 is NaN with invalid exception. */
+ *signgamp = 0;
+ return (x - x) / (x - x);
+ }
+
+ /* XXX FIXME. */
+ return __ieee754_expl (__ieee754_lgammal_r (x, signgamp));
+}
diff --git a/sysdeps/ieee754/ldbl-96/e_hypotl.c b/sysdeps/ieee754/ldbl-96/e_hypotl.c
new file mode 100644
index 0000000..1a40c55
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/e_hypotl.c
@@ -0,0 +1,133 @@
+/* e_hypotl.c -- long double version of e_hypot.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* __ieee754_hypotl(x,y)
+ *
+ * Method :
+ * If (assume round-to-nearest) z=x*x+y*y
+ * has error less than sqrt(2)/2 ulp, than
+ * sqrt(z) has error less than 1 ulp (exercise).
+ *
+ * So, compute sqrt(x*x+y*y) with some care as
+ * follows to get the error below 1 ulp:
+ *
+ * Assume x>y>0;
+ * (if possible, set rounding to round-to-nearest)
+ * 1. if x > 2y use
+ * x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y
+ * where x1 = x with lower 32 bits cleared, x2 = x-x1; else
+ * 2. if x <= 2y use
+ * t1*y1+((x-y)*(x-y)+(t1*y2+t2*y))
+ * where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1,
+ * y1= y with lower 32 bits chopped, y2 = y-y1.
+ *
+ * NOTE: scaling may be necessary if some argument is too
+ * large or too tiny
+ *
+ * Special cases:
+ * hypot(x,y) is INF if x or y is +INF or -INF; else
+ * hypot(x,y) is NAN if x or y is NAN.
+ *
+ * Accuracy:
+ * hypot(x,y) returns sqrt(x^2+y^2) with error less
+ * than 1 ulps (units in the last place)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __ieee754_hypotl(long double x, long double y)
+#else
+ long double __ieee754_hypotl(x,y)
+ long double x, y;
+#endif
+{
+ long double a,b,t1,t2,y1,y2,w;
+ u_int32_t j,k,ea,eb;
+
+ GET_LDOUBLE_EXP(ea,x);
+ ea &= 0x7fff;
+ GET_LDOUBLE_EXP(eb,y);
+ eb &= 0x7fff;
+ if(eb > ea) {a=y;b=x;j=ea; ea=eb;eb=j;} else {a=x;b=y;}
+ SET_LDOUBLE_EXP(a,ea); /* a <- |a| */
+ SET_LDOUBLE_EXP(b,eb); /* b <- |b| */
+ if((ea-eb)>0x46) {return a+b;} /* x/y > 2**70 */
+ k=0;
+ if(ea > 0x5f3f) { /* a>2**8000 */
+ if(ea == 0x7fff) { /* Inf or NaN */
+ u_int32_t exp,high,low;
+ w = a+b; /* for sNaN */
+ GET_LDOUBLE_WORDS(exp,high,low,a);
+ if(((high&0x7fffffff)|low)==0) w = a;
+ GET_LDOUBLE_WORDS(exp,high,low,b);
+ if(((eb^0x7fff)|(high&0x7fffffff)|low)==0) w = b;
+ return w;
+ }
+ /* scale a and b by 2**-9600 */
+ ea -= 0x2580; eb -= 0x2580; k += 9600;
+ SET_LDOUBLE_EXP(a,ea);
+ SET_LDOUBLE_EXP(b,eb);
+ }
+ if(eb < 0x20bf) { /* b < 2**-8000 */
+ if(eb == 0) { /* subnormal b or 0 */
+ u_int32_t exp,high,low;
+ GET_LDOUBLE_WORDS(exp,high,low,b);
+ if((high|low)==0) return a;
+ SET_LDOUBLE_WORDS(t1, 0x7ffd, 0, 0); /* t1=2^16382 */
+ b *= t1;
+ a *= t1;
+ k -= 16382;
+ } else { /* scale a and b by 2^9600 */
+ ea += 0x2580; /* a *= 2^9600 */
+ eb += 0x2580; /* b *= 2^9600 */
+ k -= 9600;
+ SET_LDOUBLE_EXP(a,ea);
+ SET_LDOUBLE_EXP(b,eb);
+ }
+ }
+ /* medium size a and b */
+ w = a-b;
+ if (w>b) {
+ u_int32_t high;
+ GET_LDOUBLE_MSW(high,a);
+ SET_LDOUBLE_WORDS(t1,ea,high,0);
+ t2 = a-t1;
+ w = __ieee754_sqrtl(t1*t1-(b*(-b)-t2*(a+t1)));
+ } else {
+ u_int32_t high;
+ GET_LDOUBLE_MSW(high,b);
+ a = a+a;
+ SET_LDOUBLE_WORDS(y1,eb,high,0);
+ y2 = b - y1;
+ GET_LDOUBLE_MSW(high,a);
+ SET_LDOUBLE_WORDS(t1,ea+1,high,0);
+ t2 = a - t1;
+ w = __ieee754_sqrtl(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+ }
+ if(k!=0) {
+ u_int32_t exp;
+ t1 = 1.0;
+ GET_LDOUBLE_EXP(exp,t1);
+ SET_LDOUBLE_EXP(t1,exp+k);
+ return t1*w;
+ } else return w;
+}
diff --git a/sysdeps/ieee754/ldbl-96/e_remainderl.c b/sysdeps/ieee754/ldbl-96/e_remainderl.c
new file mode 100644
index 0000000..e721a6e
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/e_remainderl.c
@@ -0,0 +1,83 @@
+/* e_remainderl.c -- long double version of e_remainder.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* __ieee754_remainderl(x,p)
+ * Return :
+ * returns x REM p = x - [x/p]*p as if in infinite
+ * precise arithmetic, where [x/p] is the (infinite bit)
+ * integer nearest x/p (in half way case choose the even one).
+ * Method :
+ * Based on fmod() return x-[x/p]chopped*p exactlp.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double zero = 0.0;
+#else
+static long double zero = 0.0;
+#endif
+
+
+#ifdef __STDC__
+ long double __ieee754_remainderl(long double x, long double p)
+#else
+ long double __ieee754_remainderl(x,p)
+ long double x,p;
+#endif
+{
+ u_int32_t sx,sex,sep,x0,x1,p0,p1;
+ long double p_half;
+
+ GET_LDOUBLE_WORDS(sex,x0,x1,x);
+ GET_LDOUBLE_WORDS(sep,p0,p1,p);
+ sx = sex&0x8000;
+ sep &= 0x7fff;
+ sex &= 0x7fff;
+
+ /* purge off exception values */
+ if((sep|p0|p1)==0) return (x*p)/(x*p); /* p = 0 */
+ if((sex==0x7fff)|| /* x not finite */
+ ((sep==0x7fff)&& /* p is NaN */
+ ((p0|p1)!=0)))
+ return (x*p)/(x*p);
+
+
+ if (sep<0x7ffe) x = __ieee754_fmodl(x,p+p); /* now x < 2p */
+ if (((sex-sep)|(x0-p0)|(x1-p1))==0) return zero*x;
+ x = fabsl(x);
+ p = fabsl(p);
+ if (sep<0x0002) {
+ if(x+x>p) {
+ x-=p;
+ if(x+x>=p) x -= p;
+ }
+ } else {
+ p_half = 0.5*p;
+ if(x>p_half) {
+ x-=p;
+ if(x>=p_half) x -= p;
+ }
+ }
+ GET_LDOUBLE_EXP(sex,x);
+ SET_LDOUBLE_EXP(x,sex^sx);
+ return x;
+}
diff --git a/sysdeps/ieee754/ldbl-96/e_sinhl.c b/sysdeps/ieee754/ldbl-96/e_sinhl.c
new file mode 100644
index 0000000..4f9cfe2
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/e_sinhl.c
@@ -0,0 +1,91 @@
+/* e_asinhl.c -- long double version of e_asinh.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* __ieee754_sinhl(x)
+ * Method :
+ * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
+ * 1. Replace x by |x| (sinhl(-x) = -sinhl(x)).
+ * 2.
+ * E + E/(E+1)
+ * 0 <= x <= 25 : sinhl(x) := --------------, E=expm1l(x)
+ * 2
+ *
+ * 25 <= x <= lnovft : sinhl(x) := expl(x)/2
+ * lnovft <= x <= ln2ovft: sinhl(x) := expl(x/2)/2 * expl(x/2)
+ * ln2ovft < x : sinhl(x) := x*shuge (overflow)
+ *
+ * Special cases:
+ * sinhl(x) is |x| if x is +INF, -INF, or NaN.
+ * only sinhl(0)=0 is exact for finite x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double one = 1.0, shuge = 1.0e4931L;
+#else
+static long double one = 1.0, shuge = 1.0e4931L;
+#endif
+
+#ifdef __STDC__
+ long double __ieee754_sinhl(long double x)
+#else
+ long double __ieee754_sinhl(x)
+ long double x;
+#endif
+{
+ long double t,w,h;
+ u_int32_t jx,ix,i0,i1;
+
+ /* Words of |x|. */
+ GET_LDOUBLE_WORDS(jx,i0,i1,x);
+ ix = jx&0x7fff;
+
+ /* x is INF or NaN */
+ if(ix==0x7fff) return x+x;
+
+ h = 0.5;
+ if (jx & 0x8000) h = -h;
+ /* |x| in [0,25], return sign(x)*0.5*(E+E/(E+1))) */
+ if (ix < 0x4003 || (ix == 0x4003 && i0 <= 0xc8000000)) { /* |x|<25 */
+ if (ix<0x3fe3) /* |x|<2**-28 */
+ if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
+ t = __expm1l(fabsl(x));
+ if(ix<0x3fff) return h*(2.0*t-t*t/(t+one));
+ return h*(t+t/(t+one));
+ }
+
+ /* |x| in [25, log(maxdouble)] return 0.5*exp(|x|) */
+ if (ix < 0x400c || (ix == 0x400c && i0 < 0xb17217f7))
+ return h*__ieee754_expl(fabsl(x));
+
+ /* |x| in [log(maxdouble), overflowthreshold] */
+ if (ix<0x400c || (ix == 0x400c && (i0 < 0xb174ddc0
+ || (i0 == 0xb174ddc0
+ && i1 <= 0x31aec0ea)))) {
+ w = __ieee754_expl(0.5*fabsl(x));
+ t = h*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthreshold, sinhl(x) overflow */
+ return x*shuge;
+}
diff --git a/sysdeps/ieee754/ldbl2mpn.c b/sysdeps/ieee754/ldbl-96/ldbl2mpn.c
index e95895c..78e0b70 100644
--- a/sysdeps/ieee754/ldbl2mpn.c
+++ b/sysdeps/ieee754/ldbl-96/ldbl2mpn.c
@@ -24,8 +24,6 @@
#include <math.h>
#include <stdlib.h>
-#ifndef __NO_LONG_DOUBLE_MATH
-
/* Convert a `long double' in IEEE854 standard double-precision format to a
multi-precision integer representing the significand scaled up by its
number of bits (64 for long double) and an integral power of two
@@ -95,5 +93,3 @@ __mpn_extract_long_double (mp_ptr res_ptr, mp_size_t size,
return N;
}
-
-#endif /* __NO_LONG_DOUBLE_MATH */
diff --git a/sysdeps/ieee754/ldbl-96/math_ldbl.h b/sysdeps/ieee754/ldbl-96/math_ldbl.h
new file mode 100644
index 0000000..dccc4a1
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/math_ldbl.h
@@ -0,0 +1,98 @@
+#ifndef _MATH_PRIVATE_H_
+#error "Never use <math_ldbl.h> directly; include <math_private.h> instead."
+#endif
+
+/* A union which permits us to convert between a long double and
+ three 32 bit ints. */
+
+#if __FLOAT_WORD_ORDER == BIG_ENDIAN
+
+typedef union
+{
+ long double value;
+ struct
+ {
+ unsigned int sign_exponent:16;
+ unsigned int empty:16;
+ u_int32_t msw;
+ u_int32_t lsw;
+ } parts;
+} ieee_long_double_shape_type;
+
+#endif
+
+#if __FLOAT_WORD_ORDER == LITTLE_ENDIAN
+
+typedef union
+{
+ long double value;
+ struct
+ {
+ u_int32_t lsw;
+ u_int32_t msw;
+ unsigned int sign_exponent:16;
+ unsigned int empty:16;
+ } parts;
+} ieee_long_double_shape_type;
+
+#endif
+
+/* Get three 32 bit ints from a double. */
+
+#define GET_LDOUBLE_WORDS(exp,ix0,ix1,d) \
+do { \
+ ieee_long_double_shape_type ew_u; \
+ ew_u.value = (d); \
+ (exp) = ew_u.parts.sign_exponent; \
+ (ix0) = ew_u.parts.msw; \
+ (ix1) = ew_u.parts.lsw; \
+} while (0)
+
+/* Set a double from two 32 bit ints. */
+
+#define SET_LDOUBLE_WORDS(d,exp,ix0,ix1) \
+do { \
+ ieee_long_double_shape_type iw_u; \
+ iw_u.parts.sign_exponent = (exp); \
+ iw_u.parts.msw = (ix0); \
+ iw_u.parts.lsw = (ix1); \
+ (d) = iw_u.value; \
+} while (0)
+
+/* Get the more significant 32 bits of a long double mantissa. */
+
+#define GET_LDOUBLE_MSW(v,d) \
+do { \
+ ieee_long_double_shape_type sh_u; \
+ sh_u.value = (d); \
+ (v) = sh_u.parts.msw; \
+} while (0)
+
+/* Set the more significant 32 bits of a long double mantissa from an int. */
+
+#define SET_LDOUBLE_MSW(d,v) \
+do { \
+ ieee_long_double_shape_type sh_u; \
+ sh_u.value = (d); \
+ sh_u.parts.msw = (v); \
+ (d) = sh_u.value; \
+} while (0)
+
+/* Get int from the exponent of a long double. */
+
+#define GET_LDOUBLE_EXP(exp,d) \
+do { \
+ ieee_long_double_shape_type ge_u; \
+ ge_u.value = (d); \
+ (exp) = ge_u.parts.sign_exponent; \
+} while (0)
+
+/* Set exponent of a long double from an int. */
+
+#define SET_LDOUBLE_EXP(d,exp) \
+do { \
+ ieee_long_double_shape_type se_u; \
+ se_u.value = (d); \
+ se_u.parts.sign_exponent = (exp); \
+ (d) = se_u.value; \
+} while (0)
diff --git a/sysdeps/ieee754/mpn2ldbl.c b/sysdeps/ieee754/ldbl-96/mpn2ldbl.c
index 7802355..1f049ba 100644
--- a/sysdeps/ieee754/mpn2ldbl.c
+++ b/sysdeps/ieee754/ldbl-96/mpn2ldbl.c
@@ -22,8 +22,6 @@
#include <float.h>
#include <math.h>
-#ifndef __NO_LONG_DOUBLE_MATH
-
/* Convert a multi-precision integer of the needed number of bits (64 for
long double) and an integral power of two to a `long double' in IEEE854
extended-precision format. */
@@ -47,5 +45,3 @@ __mpn_construct_long_double (mp_srcptr frac_ptr, int expt, int sign)
return u.d;
}
-
-#endif /* __NO_LONG_DOUBLE_MATH */
diff --git a/sysdeps/ieee754/ldbl-96/printf_fphex.c b/sysdeps/ieee754/ldbl-96/printf_fphex.c
new file mode 100644
index 0000000..8dfa387
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/printf_fphex.c
@@ -0,0 +1,61 @@
+#ifndef LONG_DOUBLE_DENORM_BIAS
+# define LONG_DOUBLE_DENORM_BIAS (IEEE854_LONG_DOUBLE_BIAS - 1)
+#endif
+
+#define PRINT_FPHEX_LONG_DOUBLE \
+do { \
+ /* The "strange" 80 bit format on ix86 and m68k has an explicit \
+ leading digit in the 64 bit mantissa. */ \
+ unsigned long long int num; \
+ \
+ assert (sizeof (long double) == 12); \
+ \
+ num = (((unsigned long long int) fpnum.ldbl.ieee.mantissa0) << 32 \
+ | fpnum.ldbl.ieee.mantissa1); \
+ \
+ zero_mantissa = num == 0; \
+ \
+ if (sizeof (unsigned long int) > 6) \
+ numstr = _itoa_word (num, numbuf + sizeof numbuf, 16, \
+ info->spec == 'A'); \
+ else \
+ numstr = _itoa (num, numbuf + sizeof numbuf, 16, info->spec == 'A'); \
+ \
+ /* Fill with zeroes. */ \
+ while (numstr > numbuf + (sizeof numbuf - 64 / 4)) \
+ *--numstr = '0'; \
+ \
+ /* We use a full nibble for the leading digit. */ \
+ leading = *numstr++; \
+ \
+ /* We have 3 bits from the mantissa in the leading nibble. \
+ Therefore we are here using `IEEE854_LONG_DOUBLE_BIAS + 3'. */ \
+ exponent = fpnum.ldbl.ieee.exponent; \
+ \
+ if (exponent == 0) \
+ { \
+ if (zero_mantissa) \
+ expnegative = 0; \
+ else \
+ { \
+ /* This is a denormalized number. */ \
+ expnegative = 1; \
+ /* This is a hook for the m68k long double format, where the \
+ exponent bias is the same for normalized and denormalized \
+ numbers. */ \
+ exponent = LONG_DOUBLE_DENORM_BIAS + 3; \
+ } \
+ } \
+ else if (exponent >= IEEE854_LONG_DOUBLE_BIAS + 3) \
+ { \
+ expnegative = 0; \
+ exponent -= IEEE854_LONG_DOUBLE_BIAS + 3; \
+ } \
+ else \
+ { \
+ expnegative = 1; \
+ exponent = -(exponent - (IEEE854_LONG_DOUBLE_BIAS + 3)); \
+ } \
+} while (0)
+
+#include <sysdeps/generic/printf_fphex.c>
diff --git a/sysdeps/ieee754/ldbl-96/s_asinhl.c b/sysdeps/ieee754/ldbl-96/s_asinhl.c
new file mode 100644
index 0000000..6eb434c
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_asinhl.c
@@ -0,0 +1,70 @@
+/* s_asinhl.c -- long double version of s_asinh.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* asinhl(x)
+ * Method :
+ * Based on
+ * asinhl(x) = signl(x) * logl [ |x| + sqrtl(x*x+1) ]
+ * we have
+ * asinhl(x) := x if 1+x*x=1,
+ * := signl(x)*(logl(x)+ln2)) for large |x|, else
+ * := signl(x)*logl(2|x|+1/(|x|+sqrtl(x*x+1))) if|x|>2, else
+ * := signl(x)*log1pl(|x| + x^2/(1 + sqrtl(1+x^2)))
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+one = 1.000000000000000000000e+00L, /* 0x3FFF, 0x00000000, 0x00000000 */
+ln2 = 6.931471805599453094287e-01L, /* 0x3FFE, 0xB17217F7, 0xD1CF79AC */
+huge= 1.000000000000000000e+4900L;
+
+#ifdef __STDC__
+ long double __asinhl(long double x)
+#else
+ long double __asinhl(x)
+ long double x;
+#endif
+{
+ long double t,w;
+ int32_t hx,ix;
+ GET_LDOUBLE_EXP(hx,x);
+ ix = hx&0x7fff;
+ if(ix==0x7fff) return x+x; /* x is inf or NaN */
+ if(ix< 0x3fde) { /* |x|<2**-34 */
+ if(huge+x>one) return x; /* return x inexact except 0 */
+ }
+ if(ix>0x4020) { /* |x| > 2**34 */
+ w = __ieee754_logl(fabsl(x))+ln2;
+ } else if (ix>0x4000) { /* 2**34 > |x| > 2.0 */
+ t = fabsl(x);
+ w = __ieee754_logl(2.0*t+one/(__ieee754_sqrtl(x*x+one)+t));
+ } else { /* 2.0 > |x| > 2**-28 */
+ t = x*x;
+ w =__log1pl(fabsl(x)+t/(one+__ieee754_sqrtl(one+t)));
+ }
+ if(hx&0x8000) return -w; else return w;
+}
+weak_alias (__asinhl, asinhl)
diff --git a/sysdeps/ieee754/ldbl-96/s_cbrtl.c b/sysdeps/ieee754/ldbl-96/s_cbrtl.c
new file mode 100644
index 0000000..1d021b7
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_cbrtl.c
@@ -0,0 +1,78 @@
+/* Compute cubic root of double value.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Dirk Alboth <dirka@uni-paderborn.de> and
+ Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#define CBRT2 1.2599210498948731648 /* 2^(1/3) */
+#define SQR_CBRT2 1.5874010519681994748 /* 2^(2/3) */
+
+/* We don't use long double values here since U need not be computed
+ with full precision. */
+static const double factor[5] =
+{
+ 1.0 / SQR_CBRT2,
+ 1.0 / CBRT2,
+ 1.0,
+ CBRT2,
+ SQR_CBRT2
+};
+
+
+long double
+__cbrtl (long double x)
+{
+ long double xm, ym, u, t2;
+ int xe;
+
+ /* Reduce X. XM now is an range 1.0 to 0.5. */
+ xm = __frexpl (fabs (x), &xe);
+
+ /* If X is not finite or is null return it (with raising exceptions
+ if necessary.
+ Note: *Our* version of `frexp' sets XE to zero if the argument is
+ Inf or NaN. This is not portable but faster. */
+ if (xe == 0 && fpclassify (x) <= FP_ZERO)
+ return x + x;
+
+ u = (0.338058687610520237
+ + (1.67595307700780102
+ + (-2.82414939754975962
+ + (4.09559907378707839 +
+ (-4.11151425200350531
+ + (2.65298938441952296 +
+ (-0.988553671195413709
+ + 0.161617097923756032 * xm)
+ * xm)
+ * xm)
+ * xm)
+ * xm)
+ * xm)
+ *xm);
+
+ t2 = u * u * u;
+
+ ym = u * (t2 + 2.0 * xm) / (2.0 * t2 + xm) * factor[2 + xe % 3];
+
+ return __ldexpl (x > 0.0 ? ym : -ym, xe / 3);
+}
+weak_alias (__cbrtl, cbrtl)
diff --git a/sysdeps/ieee754/ldbl-96/s_ceill.c b/sysdeps/ieee754/ldbl-96/s_ceill.c
new file mode 100644
index 0000000..d53f395
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_ceill.c
@@ -0,0 +1,89 @@
+/* s_ceill.c -- long double version of s_ceil.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * ceill(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to ceil(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double huge = 1.0e4930;
+#else
+static long double huge = 1.0e4930;
+#endif
+
+#ifdef __STDC__
+ long double __ceill(long double x)
+#else
+ long double __ceill(x)
+ long double x;
+#endif
+{
+ int32_t i1,j0;
+ u_int32_t i,j,se,i0,sx;
+ GET_LDOUBLE_WORDS(se,i0,i1,x);
+ sx = (se>>15)&1;
+ j0 = (se&0x7fff)-0x3fff;
+ if(j0<31) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
+ if(sx) {se=0x8000;i0=0;i1=0;}
+ else if((i0|i1)!=0) { se=0x3fff;i0=0;i1=0;}
+ }
+ } else {
+ i = (0x7fffffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(sx==0) {
+ if (j0>0) i0 += (0x80000000)>>j0;
+ else ++se;
+ }
+ i0 &= (~i); i1=0;
+ }
+ }
+ } else if (j0>62) {
+ if(j0==0x4000) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-31);
+ if((i1&i)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(sx==0) {
+ if(j0==31) i0+=1;
+ else {
+ j = i1 + (1<<(63-j0));
+ if(j<i1) i0+=1; /* got a carry */
+ i1 = j;
+ }
+ }
+ i1 &= (~i);
+ }
+ }
+ SET_LDOUBLE_WORDS(x,se,i0,i1);
+ return x;
+}
+weak_alias (__ceill, ceill)
diff --git a/sysdeps/ieee754/ldbl-96/s_copysignl.c b/sysdeps/ieee754/ldbl-96/s_copysignl.c
new file mode 100644
index 0000000..9976575
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_copysignl.c
@@ -0,0 +1,43 @@
+/* s_copysignl.c -- long double version of s_copysign.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * copysignl(long double x, long double y)
+ * copysignl(x,y) returns a value with the magnitude of x and
+ * with the sign bit of y.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __copysignl(long double x, long double y)
+#else
+ long double __copysignl(x,y)
+ long double x,y;
+#endif
+{
+ u_int32_t es1,es2;
+ GET_LDOUBLE_EXP(es1,x);
+ GET_LDOUBLE_EXP(es2,y);
+ SET_LDOUBLE_EXP(x,(es1&0x7fff)|(es2&0x8000));
+ return x;
+}
+weak_alias (__copysignl, copysignl)
diff --git a/sysdeps/ieee754/ldbl-96/s_cosl.c b/sysdeps/ieee754/ldbl-96/s_cosl.c
new file mode 100644
index 0000000..9765f7f
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_cosl.c
@@ -0,0 +1,88 @@
+/* s_cosl.c -- long double version of s_cos.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* cosl(x)
+ * Return cosine function of x.
+ *
+ * kernel function:
+ * __kernel_sinl ... sine function on [-pi/4,pi/4]
+ * __kernel_cosl ... cosine 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
+ *
+ * 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
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __cosl(long double x)
+#else
+ long double __cosl(x)
+ long double x;
+#endif
+{
+ long double y[2],z=0.0;
+ int32_t n, se, i0, i1;
+
+ /* High word of x. */
+ GET_LDOUBLE_WORDS(se,i0,i1,x);
+
+ /* |x| ~< pi/4 */
+ se &= 0x7fff;
+ if(se < 0x3ffe || (se == 0x3ffe && i0 <= 0xc90fdaa2))
+ return __kernel_cosl(x,z);
+
+ /* cos(Inf or NaN) is NaN */
+ else if (se==0x7fff) return x-x;
+
+ /* argument reduction needed */
+ 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);
+ }
+ }
+}
+weak_alias (__cosl, cosl)
diff --git a/sysdeps/ieee754/ldbl-96/s_fabsl.c b/sysdeps/ieee754/ldbl-96/s_fabsl.c
new file mode 100644
index 0000000..f717050
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_fabsl.c
@@ -0,0 +1,40 @@
+/* s_fabsl.c -- long double version of s_fabs.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * fabsl(x) returns the absolute value of x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __fabsl(long double x)
+#else
+ long double __fabsl(x)
+ long double x;
+#endif
+{
+ u_int32_t exp;
+ GET_LDOUBLE_EXP(exp,x);
+ SET_LDOUBLE_EXP(x,exp&0x7fff);
+ return x;
+}
+weak_alias (__fabsl, fabsl)
diff --git a/sysdeps/ieee754/ldbl-96/s_finitel.c b/sysdeps/ieee754/ldbl-96/s_finitel.c
new file mode 100644
index 0000000..6e444e9
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_finitel.c
@@ -0,0 +1,40 @@
+/* s_finitel.c -- long double version of s_finite.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * finitel(x) returns 1 is x is finite, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __finitel(long double x)
+#else
+ int __finitel(x)
+ long double x;
+#endif
+{
+ int32_t exp;
+ GET_LDOUBLE_EXP(exp,x);
+ return (int)((u_int32_t)((exp&0x7fff)-0x7fff)>>31);
+}
+weak_alias (__finitel, finitel)
diff --git a/sysdeps/ieee754/ldbl-96/s_floorl.c b/sysdeps/ieee754/ldbl-96/s_floorl.c
new file mode 100644
index 0000000..fb0c37e
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_floorl.c
@@ -0,0 +1,90 @@
+/* s_floorl.c -- long double version of s_floor.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * floorl(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to floor(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double huge = 1.0e4930;
+#else
+static long double huge = 1.0e4930;
+#endif
+
+#ifdef __STDC__
+ long double __floorl(long double x)
+#else
+ long double __floorl(x)
+ long double x;
+#endif
+{
+ int32_t i1,j0;
+ u_int32_t i,j,se,i0,sx;
+ GET_LDOUBLE_WORDS(se,i0,i1,x);
+ sx = (se>>15)&1;
+ j0 = (se&0x7fff)-0x3fff;
+ if(j0<31) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
+ if(sx==0) {se=0;i0=i1=0;}
+ else if(((se&0x7fff)|i0|i1)!=0)
+ { se=0xbfff;i0=i1=0;}
+ }
+ } else {
+ i = (0x7fffffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(sx) {
+ if (j0>0) i0 += (0x80000000)>>j0;
+ else ++se;
+ }
+ i0 &= (~i); i1=0;
+ }
+ }
+ } else if (j0>62) {
+ if(j0==0x4000) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-31);
+ if((i1&i)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(sx) {
+ if(j0==31) i0+=1;
+ else {
+ j = i1+(1<<(63-j0));
+ if(j<i1) i0 +=1 ; /* got a carry */
+ i1=j;
+ }
+ }
+ i1 &= (~i);
+ }
+ }
+ SET_LDOUBLE_WORDS(x,se,i0,i1);
+ return x;
+}
+weak_alias (__floorl, floorl)
diff --git a/sysdeps/ieee754/ldbl-96/s_fpclassifyl.c b/sysdeps/ieee754/ldbl-96/s_fpclassifyl.c
new file mode 100644
index 0000000..4df0b44
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_fpclassifyl.c
@@ -0,0 +1,44 @@
+/* Return classification value corresponding to argument.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+ Fixed by Andreas Schwab <schwab@issan.informatik.uni-dortmund.de>.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+int
+__fpclassifyl (long double x)
+{
+ u_int32_t ex, hx, lx, m;
+ int retval = FP_NORMAL;
+
+ GET_LDOUBLE_WORDS (ex, hx, lx, x);
+ m = (hx & 0x7fffffff) | lx;
+ ex &= 0x7fff;
+ if ((ex | m) == 0)
+ retval = FP_ZERO;
+ else if (ex == 0 && (hx & 0x80000000) == 0)
+ retval = FP_SUBNORMAL;
+ else if (ex == 0x7fff)
+ retval = m != 0 ? FP_NAN : FP_INFINITE;
+
+ return retval;
+}
diff --git a/sysdeps/ieee754/ldbl-96/s_frexpl.c b/sysdeps/ieee754/ldbl-96/s_frexpl.c
new file mode 100644
index 0000000..7a49bc3
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_frexpl.c
@@ -0,0 +1,69 @@
+/* s_frexpl.c -- long double version of s_frexp.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * for non-zero x
+ * x = frexpl(arg,&exp);
+ * return a long double fp quantity x such that 0.5 <= |x| <1.0
+ * and the corresponding binary exponent "exp". That is
+ * arg = x*2^exp.
+ * If arg is inf, 0.0, or NaN, then frexpl(arg,&exp) returns arg
+ * with *exp=0.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+#if LDBL_MANT_DIG == 64
+two65 = 3.68934881474191032320e+19L; /* 0x4040, 0x80000000, 0x00000000 */
+#else
+# error "Cannot handle this MANT_DIG"
+#endif
+
+
+#ifdef __STDC__
+ long double __frexpl(long double x, int *eptr)
+#else
+ long double __frexpl(x, eptr)
+ long double x; int *eptr;
+#endif
+{
+ u_int32_t se, hx, ix, lx;
+ GET_LDOUBLE_WORDS(se,hx,lx,x);
+ ix = 0x7fff&se;
+ *eptr = 0;
+ if(ix==0x7fff||((ix|hx|lx)==0)) return x; /* 0,inf,nan */
+ if (ix==0x0000) { /* subnormal */
+ x *= two65;
+ GET_LDOUBLE_EXP(se,x);
+ ix = se&0x7fff;
+ *eptr = -65;
+ }
+ *eptr += ix-16382;
+ se = (se & 0x8000) | 0x3ffe;
+ SET_LDOUBLE_EXP(x,se);
+ return x;
+}
+weak_alias (__frexpl, frexpl)
diff --git a/sysdeps/ieee754/ldbl-96/s_ilogbl.c b/sysdeps/ieee754/ldbl-96/s_ilogbl.c
new file mode 100644
index 0000000..d44229d
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_ilogbl.c
@@ -0,0 +1,56 @@
+/* s_ilogbl.c -- long double version of s_ilogb.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* ilogbl(long double x)
+ * return the binary exponent of non-zero x
+ * ilogbl(0) = 0x80000001
+ * ilogbl(inf/NaN) = 0x7fffffff (no signal is raised)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __ilogbl(long double x)
+#else
+ int __ilogbl(x)
+ long double x;
+#endif
+{
+ int32_t es,hx,lx,ix;
+
+ GET_LDOUBLE_EXP(es,x);
+ es &= 0x7fff;
+ if(es==0) {
+ GET_LDOUBLE_WORDS(es,hx,lx,x);
+ if((hx|lx)==0)
+ return FP_ILOGB0; /* ilogbl(0) = FP_ILOGB0 */
+ else /* subnormal x */
+ if(hx==0) {
+ for (ix = -16415; lx>0; lx<<=1) ix -=1;
+ } else {
+ for (ix = -16383; hx>0; hx<<=1) ix -=1;
+ }
+ return ix;
+ }
+ else if (es<0x7fff) return es-0x3fff;
+ else return FP_ILOGBNAN;
+}
+weak_alias (__ilogbl, ilogbl)
diff --git a/sysdeps/ieee754/ldbl-96/s_isinfl.c b/sysdeps/ieee754/ldbl-96/s_isinfl.c
new file mode 100644
index 0000000..6f7c07c
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_isinfl.c
@@ -0,0 +1,29 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Change for long double by Ulrich Drepper <drepper@cygnus.com>.
+ * Public domain.
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * isinfl(x) returns 1 if x is inf, -1 if x is -inf, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+int
+__isinfl (long double x)
+{
+ int32_t se,hx,lx;
+ GET_LDOUBLE_WORDS(se,hx,lx,x);
+ lx |= (hx & 0x7fffffff) | ((se & 0x7fff) ^ 0x7fff);
+ lx |= -lx;
+ se &= 0x8000;
+ return ~(lx >> 31) & (1 - (se >> 14));
+}
+weak_alias (__isinfl, isinfl)
diff --git a/sysdeps/ieee754/ldbl-96/s_isnanl.c b/sysdeps/ieee754/ldbl-96/s_isnanl.c
new file mode 100644
index 0000000..0a7ff38
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_isnanl.c
@@ -0,0 +1,44 @@
+/* s_isnanl.c -- long double version of s_isnan.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * isnanl(x) returns 1 is x is nan, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __isnanl(long double x)
+#else
+ int __isnanl(x)
+ long double x;
+#endif
+{
+ int32_t se,hx,lx;
+ GET_LDOUBLE_WORDS(se,hx,lx,x);
+ se = (se & 0x7fff) << 1;
+ lx |= hx & 0x7fffffff;
+ se |= (u_int32_t)(lx|(-lx))>>31;
+ se = 0xfffe - se;
+ return (int)(((u_int32_t)(se))>>31);
+}
+weak_alias (__isnanl, isnanl)
diff --git a/sysdeps/ieee754/ldbl-96/s_llrintl.c b/sysdeps/ieee754/ldbl-96/s_llrintl.c
new file mode 100644
index 0000000..2aeaa1e
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_llrintl.c
@@ -0,0 +1,77 @@
+/* Round argument to nearest integral value according to current rounding
+ direction.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+static const long double two63[2] =
+{
+ 9.223372036854775808000000e+18, /* 0x403E, 0x00000000, 0x00000000 */
+ -9.223372036854775808000000e+18 /* 0xC03E, 0x00000000, 0x00000000 */
+};
+
+
+long long int
+__llrintl (long double x)
+{
+ int32_t se,j0;
+ u_int32_t i0, i1;
+ long long int result;
+ volatile long double w;
+ long double t;
+ int sx;
+
+ GET_LDOUBLE_WORDS (se, i0, i1, x);
+
+ sx = (se >> 15) & 1;
+ j0 = (se & 0x7fff) - 0x3fff;
+
+ if (j0 < (int32_t) (8 * sizeof (long long int)) - 1)
+ {
+ if (j0 < -1)
+ return 0;
+ else if (j0 >= 63)
+ result = (((long long int) i0 << 32) | i1) << (j0 - 63);
+ else
+ {
+ w = two63[sx] + x;
+ t = w - two63[sx];
+ GET_LDOUBLE_WORDS (se, i0, i1, t);
+ j0 = (se & 0x7fff) - 0x3fff;
+
+ if (j0 < 31)
+ result = i0 >> (31 - j0);
+ else
+ result = ((long long int) i0 << (j0 - 31)) | (i1 >> (63 - j0));
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long long int) x;
+ }
+
+ return sx ? -result : result;
+}
+
+weak_alias (__llrintl, llrintl)
diff --git a/sysdeps/ieee754/ldbl-96/s_llroundl.c b/sysdeps/ieee754/ldbl-96/s_llroundl.c
new file mode 100644
index 0000000..4a537c8
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_llroundl.c
@@ -0,0 +1,81 @@
+/* Round long double value to long long int.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+long long int
+__llroundl (long double x)
+{
+ int32_t j0;
+ u_int32_t se, i1, i0;
+ long long int result;
+ int sign;
+
+ GET_LDOUBLE_WORDS (se, i0, i1, x);
+ j0 = (se & 0x7fff) - 0x3fff;
+ sign = (se & 0x8000) != 0 ? -1 : 1;
+
+ if (j0 < 31)
+ {
+ if (j0 < 0)
+ return j0 < -1 ? 0 : sign;
+ else
+ {
+ u_int32_t j = i0 + (0x40000000 >> j0);
+ if (j < i0)
+ {
+ j >>= 1;
+ j |= 0x80000000;
+ ++j0;
+ }
+
+ result = j >> (31 - j0);
+ }
+ }
+ else if (j0 < (int32_t) (8 * sizeof (long long int)) - 1)
+ {
+ if (j0 >= 63)
+ result = (((long long int) i0 << 32) | i1) << (j0 - 63);
+ else
+ {
+ u_int32_t j = i1 + (0x80000000 >> (j0 - 31));
+ if (j < i1)
+ ++i0;
+
+ if (j0 == 31)
+ result = (long long int) i0;
+ else
+ result = ((long long int) i0 << (j0 - 31)) | (j >> (63 - j0));
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long long int) x;
+ }
+
+ return sign * result;
+}
+
+weak_alias (__llroundl, llroundl)
diff --git a/sysdeps/ieee754/ldbl-96/s_logbl.c b/sysdeps/ieee754/ldbl-96/s_logbl.c
new file mode 100644
index 0000000..2cd9d10
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_logbl.c
@@ -0,0 +1,47 @@
+/* s_logbl.c -- long double version of s_logb.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * long double logbl(x)
+ * IEEE 754 logb. Included to pass IEEE test suite. Not recommend.
+ * Use ilogb instead.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __logbl(long double x)
+#else
+ long double __logbl(x)
+ long double x;
+#endif
+{
+ int32_t es,lx,ix;
+ GET_LDOUBLE_WORDS(es,ix,lx,x);
+ es &= 0x7fff; /* exponent */
+ if((es|ix|lx)==0) return -1.0/fabs(x);
+ if(es==0x7fff) return x*x;
+ if(es==0) /* IEEE 754 logb */
+ return -16382.0;
+ else
+ return (long double) (es-0x3fff);
+}
+weak_alias (__logbl, logbl)
diff --git a/sysdeps/ieee754/ldbl-96/s_lrintl.c b/sysdeps/ieee754/ldbl-96/s_lrintl.c
new file mode 100644
index 0000000..673cf3d
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_lrintl.c
@@ -0,0 +1,86 @@
+/* Round argument to nearest integral value according to current rounding
+ direction.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+static const long double two63[2] =
+{
+ 9.223372036854775808000000e+18, /* 0x403E, 0x00000000, 0x00000000 */
+ -9.223372036854775808000000e+18 /* 0xC03E, 0x00000000, 0x00000000 */
+};
+
+
+long int
+__lrintl (long double x)
+{
+ int32_t se,j0;
+ u_int32_t i0, i1;
+ long int result;
+ volatile long double w;
+ long double t;
+ int sx;
+
+ GET_LDOUBLE_WORDS (se, i0, i1, x);
+
+ sx = (se >> 15) & 1;
+ j0 = (se & 0x7fff) - 0x3fff;
+
+ if (j0 < 31)
+ {
+ if (j0 < -1)
+ return 0;
+ else
+ {
+ w = two63[sx] + x;
+ t = w - two63[sx];
+ GET_LDOUBLE_WORDS (se, i0, i1, t);
+ j0 = (se & 0x7fff) - 0x3fff;
+
+ result = i0 >> (31 - j0);
+ }
+ }
+ else if (j0 < (int32_t) (8 * sizeof (long int)) - 1)
+ {
+ if (j0 >= 63)
+ result = ((long int) i0 << (j0 - 31)) | (i1 << (j0 - 63));
+ else
+ {
+ w = two63[sx] + x;
+ t = w - two63[sx];
+ GET_LDOUBLE_WORDS (se, i0, i1, t);
+ j0 = (se & 0x7fff) - 0x3fff;
+
+ result = ((long int) i0 << (j0 - 31)) | (i1 >> (63 - j0));
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long int) x;
+ }
+
+ return sx ? -result : result;
+}
+
+weak_alias (__lrintl, lrintl)
diff --git a/sysdeps/ieee754/ldbl-96/s_lroundl.c b/sysdeps/ieee754/ldbl-96/s_lroundl.c
new file mode 100644
index 0000000..3bdac83
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_lroundl.c
@@ -0,0 +1,78 @@
+/* Round long double value to long int.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+long int
+__lroundl (long double x)
+{
+ int32_t j0;
+ u_int32_t se, i1, i0;
+ long int result;
+ int sign;
+
+ GET_LDOUBLE_WORDS (se, i0, i1, x);
+ j0 = (se & 0x7fff) - 0x3fff;
+ sign = (se & 0x8000) != 0 ? -1 : 1;
+
+ if (j0 < 31)
+ {
+ if (j0 < 0)
+ return j0 < -1 ? 0 : sign;
+ else
+ {
+ u_int32_t j = i0 + (0x40000000 >> j0);
+ if (j < i0)
+ {
+ j >>= 1;
+ j |= 0x80000000;
+ ++j0;
+ }
+
+ result = j >> (31 - j0);
+ }
+ }
+ else if (j0 < (int32_t) (8 * sizeof (long int)) - 1)
+ {
+ if (j0 >= 63)
+ result = ((long int) i0 << (j0 - 31)) | (i1 << (j0 - 63));
+ else
+ {
+ u_int32_t j = i1 + (0x80000000 >> (j0 - 31));
+ if (j < i1)
+ ++i0;
+
+ result = ((long int) i0 << (j0 - 31)) | (j >> (63 - j0));
+ }
+ }
+ else
+ {
+ /* The number is too large. It is left implementation defined
+ what happens. */
+ return (long int) x;
+ }
+
+ return sign * result;
+}
+
+weak_alias (__lroundl, lroundl)
diff --git a/sysdeps/ieee754/ldbl-96/s_modfl.c b/sysdeps/ieee754/ldbl-96/s_modfl.c
new file mode 100644
index 0000000..fb1b3ac
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_modfl.c
@@ -0,0 +1,85 @@
+/* s_modfl.c -- long double version of s_modf.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * modfl(long double x, long double *iptr)
+ * return fraction part of x, and return x's integral part in *iptr.
+ * Method:
+ * Bit twiddling.
+ *
+ * Exception:
+ * No exception.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double one = 1.0;
+#else
+static long double one = 1.0;
+#endif
+
+#ifdef __STDC__
+ long double __modfl(long double x, long double *iptr)
+#else
+ long double __modfl(x, iptr)
+ long double x,*iptr;
+#endif
+{
+ int32_t i0,i1,j0;
+ u_int32_t i,se;
+ GET_LDOUBLE_WORDS(se,i0,i1,x);
+ j0 = (se&0x7fff)-0x3fff; /* exponent of x */
+ if(j0<32) { /* integer part in high x */
+ if(j0<0) { /* |x|<1 */
+ SET_LDOUBLE_WORDS(*iptr,se&0x8000,0,0); /* *iptr = +-0 */
+ return x;
+ } else {
+ i = (0x7fffffff)>>j0;
+ if(((i0&i)|i1)==0) { /* x is integral */
+ *iptr = x;
+ SET_LDOUBLE_WORDS(x,se&0x8000,0,0); /* return +-0 */
+ return x;
+ } else {
+ SET_LDOUBLE_WORDS(*iptr,se,i0&(~i),0);
+ return x - *iptr;
+ }
+ }
+ } else if (j0>63) { /* no fraction part */
+ *iptr = x*one;
+ /* We must handle NaNs separately. */
+ if (j0 == 0x4000 && ((i0 & 0x7fffffff) | i1))
+ return x*one;
+ SET_LDOUBLE_WORDS(x,se&0x8000,0,0); /* return +-0 */
+ return x;
+ } else { /* fraction part in low x */
+ i = ((u_int32_t)(0xffffffff))>>(j0-32);
+ if((i1&i)==0) { /* x is integral */
+ *iptr = x;
+ SET_LDOUBLE_WORDS(x,se&0x8000,0,0); /* return +-0 */
+ return x;
+ } else {
+ SET_LDOUBLE_WORDS(*iptr,se,i0,i1&(~i));
+ return x - *iptr;
+ }
+ }
+}
+weak_alias (__modfl, modfl)
diff --git a/sysdeps/ieee754/ldbl-96/s_nearbyintl.c b/sysdeps/ieee754/ldbl-96/s_nearbyintl.c
new file mode 100644
index 0000000..92c3ebf
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_nearbyintl.c
@@ -0,0 +1,95 @@
+/* s_rintl.c -- long double version of s_rint.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+/* Adapted for use as nearbyint by Ulrich Drepper <drepper@cygnus.com>. */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * rintl(x)
+ * Return x rounded to integral value according to the prevailing
+ * rounding mode.
+ * Method:
+ * Using floating addition.
+ * Exception:
+ * Inexact flag raised if x not equal to rintl(x).
+ */
+
+#include <fenv.h>
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+TWO63[2]={
+ 9.223372036854775808000000e+18, /* 0x403E, 0x00000000, 0x00000000 */
+ -9.223372036854775808000000e+18 /* 0xC03E, 0x00000000, 0x00000000 */
+};
+
+#ifdef __STDC__
+ long double __nearbyintl(long double x)
+#else
+ long double __nearbyintl(x)
+ long double x;
+#endif
+{
+ fenv_t env;
+ int32_t se,j0,sx;
+ u_int32_t i,i0,i1;
+ long double w,t;
+ GET_LDOUBLE_WORDS(se,i0,i1,x);
+ sx = (se>>15)&1;
+ j0 = (se&0x7fff)-0x3fff;
+ if(j0<31) {
+ if(j0<0) {
+ if(((se&0x7fff)|i0|i1)==0) return x;
+ i1 |= i0;
+ i0 &= 0xe0000000;
+ i0 |= (i1|-i1)&0x80000000;
+ SET_LDOUBLE_MSW(x,i0);
+ feholdexcept (&env);
+ w = TWO63[sx]+x;
+ t = w-TWO63[sx];
+ fesetenv (&env);
+ GET_LDOUBLE_EXP(i0,t);
+ SET_LDOUBLE_EXP(t,(i0&0x7fff)|(sx<<15));
+ return t;
+ } else {
+ i = (0x7fffffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ i>>=1;
+ if(((i0&i)|i1)!=0) {
+ if (j0==30) i1 = 0x40000000; else
+ i0 = (i0&(~i))|((0x20000000)>>j0);
+ }
+ }
+ } else if (j0>62) {
+ if(j0==0x4000) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-31);
+ if((i1&i)==0) return x; /* x is integral */
+ i>>=1;
+ if((i1&i)!=0) i1 = (i1&(~i))|((0x40000000)>>(j0-31));
+ }
+ SET_LDOUBLE_WORDS(x,se,i0,i1);
+ feholdexcept (&env);
+ w = TWO63[sx]+x;
+ t = w-TWO63[sx];
+ fesetenv (&env);
+ return t;
+}
+weak_alias (__nearbyintl, nearbyintl)
diff --git a/sysdeps/ieee754/ldbl-96/s_nextafterl.c b/sysdeps/ieee754/ldbl-96/s_nextafterl.c
new file mode 100644
index 0000000..aea57e3
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_nextafterl.c
@@ -0,0 +1,101 @@
+/* s_nextafterl.c -- long double version of s_nextafter.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* IEEE functions
+ * nextafterl(x,y)
+ * return the next machine floating-point number of x in the
+ * direction toward y.
+ * Special cases:
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __nextafterl(long double x, long double y)
+#else
+ long double __nextafterl(x,y)
+ long double x,y;
+#endif
+{
+ int32_t hx,hy,ix,iy;
+ u_int32_t lx,ly,esx,esy;
+
+ GET_LDOUBLE_WORDS(esx,hx,lx,x);
+ GET_LDOUBLE_WORDS(esy,hy,ly,y);
+ ix = esx&0x7fff; /* |x| */
+ iy = esy&0x7fff; /* |y| */
+
+ if(((ix==0x7fff)&&((hx|lx)|-(hx|lx))!=0) || /* x is nan */
+ ((iy==0x7fff)&&((hy|ly)|-(hy|ly))!=0)) /* y is nan */
+ return x+y;
+ if(x==y) return y; /* x=y, return y */
+ if((ix|hx|lx)==0) { /* x == 0 */
+ SET_LDOUBLE_WORDS(x,esx&0x8000,0,1);/* return +-minsubnormal */
+ y = x*x;
+ if(y==x) return y; else return x; /* raise underflow flag */
+ }
+ if(esx<0x8000) { /* x > 0 */
+ if(ix>iy||((ix==iy) && (hx>hy||((hx==hy)&&(lx>ly))))) {
+ /* x > y, x -= ulp */
+ if(lx==0) {
+ if (hx==0) esx -= 1;
+ hx -= 1;
+ }
+ lx -= 1;
+ } else { /* x < y, x += ulp */
+ lx += 1;
+ if(lx==0) {
+ hx += 1;
+ if (hx==0)
+ esx += 1;
+ }
+ }
+ } else { /* x < 0 */
+ if(esy>=0||(ix>iy||((ix==iy)&&(hx>hy||((hx==hy)&&(lx>ly)))))){
+ /* x < y, x -= ulp */
+ if(lx==0) {
+ if (hx==0) esx -= 1;
+ hx -= 1;
+ }
+ lx -= 1;
+ } else { /* x > y, x += ulp */
+ lx += 1;
+ if(lx==0) {
+ hx += 1;
+ if (hx==0) esx += 1;
+ }
+ }
+ }
+ esy = esx&0x7fff;
+ if(esy==0x7fff) return x+x; /* overflow */
+ if(esy==0) { /* underflow */
+ y = x*x;
+ if(y!=x) { /* raise underflow flag */
+ SET_LDOUBLE_WORDS(y,esx,hx,lx);
+ return y;
+ }
+ }
+ SET_LDOUBLE_WORDS(x,esx,hx,lx);
+ return x;
+}
+weak_alias (__nextafterl, nextafterl)
+strong_alias (__nextafterl, __nexttowardl)
+weak_alias (__nextafterl, nexttowardl)
diff --git a/sysdeps/ieee754/ldbl-96/s_nexttoward.c b/sysdeps/ieee754/ldbl-96/s_nexttoward.c
new file mode 100644
index 0000000..debbb86
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_nexttoward.c
@@ -0,0 +1,98 @@
+/* s_nexttoward.c
+ * Conversion from s_nextafter.c by Ulrich Drepper, Cygnus Support,
+ * drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* IEEE functions
+ * nextafterx(x,y)
+ * return the next machine floating-point number of x in the
+ * direction toward y.
+ * Special cases:
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __nexttoward(double x, long double y)
+#else
+ double __nexttoward(x,y)
+ double x;
+ long double y;
+#endif
+{
+ int32_t hx,ix,iy;
+ u_int32_t lx,hy,ly,esy;
+
+ EXTRACT_WORDS(hx,lx,x);
+ GET_LDOUBLE_WORDS(esy,hy,ly,y);
+ ix = hx&0x7fffffff; /* |x| */
+ iy = esy&0x7fff; /* |y| */
+
+ if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || /* x is nan */
+ ((iy>=0x7fff)&&((hy|ly)|-(hy|ly))!=0)) /* y is nan */
+ return x+y;
+ if((long double) x==y) return x; /* x=y, return x */
+ if((ix|lx)==0) { /* x == 0 */
+ double x2;
+ INSERT_WORDS(x,esy&0x8000?0x80000000:0,1);/* return +-minsub */
+ x2 = x*x;
+ if(x2==x) return x2; else return x; /* raise underflow flag */
+ }
+ if(hx>=0) { /* x > 0 */
+ if (esy>=0x8000||((ix>>20)&0x7ff)>iy-0x3c00
+ || (((ix>>20)&0x7ff)==iy-0x3c00
+ && (((hx<<11)|(lx>>21))>(hy&0x7fffffff)
+ || (((hx<<11)|(lx>>21))==(hy&0x7fffffff)
+ && (lx<<11)>ly)))) { /* x > y, x -= ulp */
+ if(lx==0) hx -= 1;
+ lx -= 1;
+ } else { /* x < y, x += ulp */
+ lx += 1;
+ if(lx==0) hx += 1;
+ }
+ } else { /* x < 0 */
+ if (esy<0x8000||((ix>>20)&0x7ff)>iy-0x3c00
+ || (((ix>>20)&0x7ff)==iy-0x3c00
+ && (((hx<<11)|(lx>>21))>(hy&0x7fffffff)
+ || (((hx<<11)|(lx>>21))==(hy&0x7fffffff)
+ && (lx<<11)>ly)))) {/* x < y, x -= ulp */
+ if(lx==0) hx -= 1;
+ lx -= 1;
+ } else { /* x > y, x += ulp */
+ lx += 1;
+ if(lx==0) hx += 1;
+ }
+ }
+ hy = hx&0x7ff00000;
+ if(hy>=0x7ff00000) return x+x; /* overflow */
+ if(hy<0x00100000) { /* underflow */
+ double x2 = x*x;
+ if(x2!=x) { /* raise underflow flag */
+ INSERT_WORDS(x2,hx,lx);
+ return x2;
+ }
+ }
+ INSERT_WORDS(x,hx,lx);
+ return x;
+}
+weak_alias (__nexttoward, nexttoward)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__nexttoward, __nexttowardl)
+weak_alias (__nexttoward, nexttowardl)
+#endif
diff --git a/sysdeps/ieee754/ldbl-96/s_nexttowardf.c b/sysdeps/ieee754/ldbl-96/s_nexttowardf.c
new file mode 100644
index 0000000..b7e9f00
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_nexttowardf.c
@@ -0,0 +1,78 @@
+/* s_nexttowardf.c -- float version of s_nextafter.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __nexttowardf(float x, long double y)
+#else
+ float __nexttowardf(x,y)
+ float x;
+ long double y;
+#endif
+{
+ int32_t hx,ix,iy;
+ u_int32_t hy,ly,esy;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_LDOUBLE_WORDS(esy,hy,ly,y);
+ ix = hx&0x7fffffff; /* |x| */
+ iy = esy&0x7fff; /* |y| */
+
+ if((ix>0x7f800000) || /* x is nan */
+ (iy>=0x7fff&&((hy|ly)|-(hy|ly))!=0)) /* y is nan */
+ return x+y;
+ if((long double) x==y) return y; /* x=y, return y */
+ if(ix==0) { /* x == 0 */
+ float x2;
+ SET_FLOAT_WORD(x,(esy&0x8000?0x80000000:0)|1);/* return +-minsub*/
+ x2 = x*x;
+ if(x2==x) return x2; else return x; /* raise underflow flag */
+ }
+ if(hx>=0) { /* x > 0 */
+ if(esy>=0x8000||((ix>>23)&0xff)>iy-0x3f80
+ || (((ix>>23)&0xff)==iy-0x3f80
+ && ((ix&0x7fffff)<<8)>(hy&0x7fffffff))) {/* x > y, x -= ulp */
+ hx -= 1;
+ } else { /* x < y, x += ulp */
+ hx += 1;
+ }
+ } else { /* x < 0 */
+ if(esy<0x8000||((ix>>23)&0xff)>iy-0x3f80
+ || (((ix>>23)&0xff)==iy-0x3f80
+ && ((ix&0x7fffff)<<8)>(hy&0x7fffffff))) {/* x < y, x -= ulp */
+ hx -= 1;
+ } else { /* x > y, x += ulp */
+ hx += 1;
+ }
+ }
+ hy = hx&0x7f800000;
+ if(hy>=0x7f800000) return x+x; /* overflow */
+ if(hy<0x00800000) { /* underflow */
+ float x2 = x*x;
+ if(x2!=x) { /* raise underflow flag */
+ SET_FLOAT_WORD(x2,hx);
+ return x2;
+ }
+ }
+ SET_FLOAT_WORD(x,hx);
+ return x;
+}
+weak_alias (__nexttowardf, nexttowardf)
diff --git a/sysdeps/ieee754/ldbl-96/s_remquol.c b/sysdeps/ieee754/ldbl-96/s_remquol.c
new file mode 100644
index 0000000..88ff298
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_remquol.c
@@ -0,0 +1,109 @@
+/* Compute remainder and a congruent to the quotient.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+static const long double zero = 0.0;
+
+
+long double
+__remquol (long double x, long double p, int *quo)
+{
+ int32_t ex,ep,hx,hp;
+ u_int32_t sx,lx,lp;
+ int cquo,qs;
+
+ GET_LDOUBLE_WORDS (ex, hx, lx, x);
+ GET_LDOUBLE_WORDS (ep, hp, lp, p);
+ sx = ex & 0x8000;
+ qs = (sx ^ (ep & 0x8000)) >> 15;
+ ep &= 0x7fff;
+ ex &= 0x7fff;
+
+ /* Purge off exception values. */
+ if ((ep | hp | lp) == 0)
+ return (x * p) / (x * p); /* p = 0 */
+ if ((ex == 0x7fff) /* x not finite */
+ || ((ep == 0x7fff) /* p is NaN */
+ && ((hp | lp) != 0)))
+ return (x * p) / (x * p);
+
+ if (ep <= 0x7ffb)
+ x = __ieee754_fmodl (x, 8 * p); /* now x < 8p */
+
+ if (((ex - ep) | (hx - hp) | (lx - lp)) == 0)
+ {
+ *quo = qs ? -1 : 1;
+ return zero * x;
+ }
+
+ x = fabsl (x);
+ p = fabsl (p);
+ cquo = 0;
+
+ if (x >= 4 * p)
+ {
+ x -= 4 * p;
+ cquo += 4;
+ }
+ if (x >= 2 * p)
+ {
+ x -= 2 * p;
+ cquo += 2;
+ }
+
+ if (ep < 0x0002)
+ {
+ if (x + x > p)
+ {
+ x -= p;
+ ++cquo;
+ if (x + x >= p)
+ {
+ x -= p;
+ ++cquo;
+ }
+ }
+ }
+ else
+ {
+ long double p_half = 0.5 * p;
+ if (x > p_half)
+ {
+ x -= p;
+ ++cquo;
+ if (x >= p_half)
+ {
+ x -= p;
+ ++cquo;
+ }
+ }
+ }
+
+ *quo = qs ? -cquo : cquo;
+
+ if (sx)
+ x = -x;
+ return x;
+}
+weak_alias (__remquol, remquol)
diff --git a/sysdeps/ieee754/ldbl-96/s_rintl.c b/sysdeps/ieee754/ldbl-96/s_rintl.c
new file mode 100644
index 0000000..9d4777d
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_rintl.c
@@ -0,0 +1,91 @@
+/* s_rintl.c -- long double version of s_rint.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * rintl(x)
+ * Return x rounded to integral value according to the prevailing
+ * rounding mode.
+ * Method:
+ * Using floating addition.
+ * Exception:
+ * Inexact flag raised if x not equal to rintl(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+TWO63[2]={
+ 9.223372036854775808000000e+18, /* 0x403E, 0x00000000, 0x00000000 */
+ -9.223372036854775808000000e+18 /* 0xC03E, 0x00000000, 0x00000000 */
+};
+
+#ifdef __STDC__
+ long double __rintl(long double x)
+#else
+ long double __rintl(x)
+ long double x;
+#endif
+{
+ int32_t se,j0,sx;
+ u_int32_t i,i0,i1;
+ long double w,t;
+ GET_LDOUBLE_WORDS(se,i0,i1,x);
+ sx = (se>>15)&1;
+ j0 = (se&0x7fff)-0x3fff;
+ if(j0<31) {
+ if(j0<0) {
+ if(((se&0x7fff)|i0|i1)==0) return x;
+ i1 |= i0;
+ i0 &= 0xe0000000;
+ i0 |= (i1|-i1)&0x80000000;
+ SET_LDOUBLE_MSW(x,i0);
+ w = TWO63[sx]+x;
+ t = w-TWO63[sx];
+ GET_LDOUBLE_EXP(i0,t);
+ SET_LDOUBLE_EXP(t,(i0&0x7fff)|(sx<<15));
+ return t;
+ } else {
+ i = (0x7fffffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ i>>=1;
+ if(((i0&i)|i1)!=0) {
+ if(j0==30) i1 = 0x40000000; else
+ i0 = (i0&(~i))|((0x20000000)>>j0);
+ }
+ }
+ } else if (j0>62) {
+ if(j0==0x4000) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-31);
+ if((i1&i)==0) return x; /* x is integral */
+ i>>=1;
+ if((i1&i)!=0) i1 = (i1&(~i))|((0x40000000)>>(j0-31));
+ }
+ SET_LDOUBLE_WORDS(x,se,i0,i1);
+ w = TWO63[sx]+x;
+ return w-TWO63[sx];
+}
+weak_alias (__rintl, rintl)
diff --git a/sysdeps/ieee754/ldbl-96/s_roundl.c b/sysdeps/ieee754/ldbl-96/s_roundl.c
new file mode 100644
index 0000000..d7482b9
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_roundl.c
@@ -0,0 +1,106 @@
+/* Round long double to integer away from zero.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+static const long double huge = 1.0e4930;
+
+
+long double
+__roundl (long double x)
+{
+ int32_t j0;
+ u_int32_t se, i1, i0;
+
+ GET_LDOUBLE_WORDS (se, i0, i1, x);
+ j0 = (se & 0x7fff) - 0x3fff;
+ if (j0 < 31)
+ {
+ if (j0 < 0)
+ {
+ if (huge + x > 0.0)
+ {
+ se &= 0x8000;
+ i0 = i1 = 0;
+ if (j0 == -1)
+ {
+ se |= 0x3fff;
+ i0 = 0x80000000;
+ }
+ }
+ }
+ else
+ {
+ u_int32_t i = 0x7fffffff >> j0;
+ if (((i0 & i) | i1) == 0)
+ /* X is integral. */
+ return x;
+ if (huge + x > 0.0)
+ {
+ /* Raise inexact if x != 0. */
+ u_int32_t j = i0 + (0x40000000 >> j0);
+ if (j < i0)
+ se += 1;
+ i0 = (j & ~i) | 0x80000000;
+ i1 = 0;
+ }
+ }
+ }
+ else if (j0 > 62)
+ {
+ if (j0 == 0x4000)
+ /* Inf or NaN. */
+ return x + x;
+ else
+ return x;
+ }
+ else
+ {
+ u_int32_t i = 0xffffffff >> (j0 - 31);
+ if ((i1 & i) == 0)
+ /* X is integral. */
+ return x;
+
+ if (huge + x > 0.0)
+ {
+ /* Raise inexact if x != 0. */
+ u_int32_t j = i1 + (1 << (62 - j0));
+ if (j < i1)
+ {
+ u_int32_t k = i0 + 1;
+ if (k < i0)
+ {
+ se += 1;
+ k |= 0x80000000;
+ }
+ i0 = k;
+ }
+ i1 = j;
+ }
+ i1 &= ~i;
+ }
+
+ SET_LDOUBLE_WORDS (x, se, i0, i1);
+ return x;
+}
+weak_alias (__roundl, roundl)
diff --git a/sysdeps/ieee754/ldbl-96/s_scalblnl.c b/sysdeps/ieee754/ldbl-96/s_scalblnl.c
new file mode 100644
index 0000000..8e556fa
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_scalblnl.c
@@ -0,0 +1,71 @@
+/* s_scalbnl.c -- long double version of s_scalbn.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * scalbnl (long double x, int n)
+ * scalbnl(x,n) returns x* 2**n computed by exponent
+ * manipulation rather than by actually performing an
+ * exponentiation or a multiplication.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+two63 = 4.50359962737049600000e+15,
+twom63 = 1.08420217248550443400e-19,
+huge = 1.0e+4900L,
+tiny = 1.0e-4900L;
+
+#ifdef __STDC__
+ long double __scalblnl (long double x, long int n)
+#else
+ long double __scalblnl (x,n)
+ long double x; long int n;
+#endif
+{
+ int32_t k,es,hx,lx;
+ GET_LDOUBLE_WORDS(es,hx,lx,x);
+ k = es&0x7fff; /* extract exponent */
+ if (k==0) { /* 0 or subnormal x */
+ if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
+ x *= two63;
+ GET_LDOUBLE_EXP(es,x);
+ k = (hx&0x7fff) - 63;
+ }
+ if (k==0x7fff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (n> 50000 || k > 0x7ffe)
+ return huge*__copysignl(huge,x); /* overflow */
+ if (n< -50000)
+ return tiny*__copysignl(tiny,x);
+ if (k > 0) /* normal result */
+ {SET_LDOUBLE_EXP(x,(es&0x8000)|k); return x;}
+ if (k <= -63)
+ return tiny*__copysignl(tiny,x); /*underflow*/
+ k += 63; /* subnormal result */
+ SET_LDOUBLE_EXP(x,(es&0x8000)|k);
+ return x*twom63;
+}
+weak_alias (__scalblnl, scalblnl)
diff --git a/sysdeps/ieee754/ldbl-96/s_scalbnl.c b/sysdeps/ieee754/ldbl-96/s_scalbnl.c
new file mode 100644
index 0000000..34c52e7
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_scalbnl.c
@@ -0,0 +1,71 @@
+/* s_scalbnl.c -- long double version of s_scalbn.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * scalbnl (long double x, int n)
+ * scalbnl(x,n) returns x* 2**n computed by exponent
+ * manipulation rather than by actually performing an
+ * exponentiation or a multiplication.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+two63 = 4.50359962737049600000e+15,
+twom63 = 1.08420217248550443400e-19,
+huge = 1.0e+4900L,
+tiny = 1.0e-4900L;
+
+#ifdef __STDC__
+ long double __scalbnl (long double x, int n)
+#else
+ long double __scalbnl (x,n)
+ long double x; int n;
+#endif
+{
+ int32_t k,es,hx,lx;
+ GET_LDOUBLE_WORDS(es,hx,lx,x);
+ k = es&0x7fff; /* extract exponent */
+ if (k==0) { /* 0 or subnormal x */
+ if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
+ x *= two63;
+ GET_LDOUBLE_EXP(es,x);
+ k = (hx&0x7fff) - 63;
+ }
+ if (k==0x7fff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (n> 50000 || k > 0x7ffe)
+ return huge*__copysignl(huge,x); /* overflow */
+ if (n< -50000)
+ return tiny*__copysignl(tiny,x);
+ if (k > 0) /* normal result */
+ {SET_LDOUBLE_EXP(x,(es&0x8000)|k); return x;}
+ if (k <= -63)
+ return tiny*__copysignl(tiny,x); /*underflow*/
+ k += 63; /* subnormal result */
+ SET_LDOUBLE_EXP(x,(es&0x8000)|k);
+ return x*twom63;
+}
+weak_alias (__scalbnl, scalbnl)
diff --git a/sysdeps/ieee754/ldbl-96/s_signbitl.c b/sysdeps/ieee754/ldbl-96/s_signbitl.c
new file mode 100644
index 0000000..b12fdef
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_signbitl.c
@@ -0,0 +1,32 @@
+/* Return nonzero value if number is negative.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+int
+__signbitl (long double x)
+{
+ int32_t e;
+
+ GET_LDOUBLE_EXP (e, x);
+ return e & 0x8000;
+}
diff --git a/sysdeps/ieee754/ldbl-96/s_sincosl.c b/sysdeps/ieee754/ldbl-96/s_sincosl.c
new file mode 100644
index 0000000..78c78d5
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_sincosl.c
@@ -0,0 +1,74 @@
+/* Compute sine and cosine of argument.
+ Copyright (C) 1997 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+void
+__sincosl (long double x, long double *sinx, long double *cosx)
+{
+ int32_t se, i0, i1;
+
+ /* High word of x. */
+ GET_LDOUBLE_WORDS (se, i0, i1, x);
+
+ /* |x| ~< pi/4 */
+ se &= 0x7fff;
+ if (se < 0x3ffe || (se == 0x3ffe && i0 <= 0xc90fdaa2))
+ {
+ *sinx = __kernel_sinl (x, 0.0, 0);
+ *cosx = __kernel_cosl (x, 0.0);
+ }
+ else if (se == 0x7fff)
+ {
+ /* sin(Inf or NaN) is NaN */
+ *sinx = *cosx = x - x;
+ }
+ else
+ {
+ /* Argument reduction needed. */
+ long double y[2];
+ int n;
+
+ n = __ieee754_rem_pio2l (x, y);
+ switch (n & 3)
+ {
+ case 0:
+ *sinx = __kernel_sinl (y[0], y[1], 1);
+ *cosx = __kernel_cosl (y[0], y[1]);
+ break;
+ case 1:
+ *sinx = __kernel_cosl (y[0], y[1]);
+ *cosx = -__kernel_sinl (y[0], y[1], 1);
+ break;
+ case 2:
+ *sinx = -__kernel_sinl (y[0], y[1], 1);
+ *cosx = -__kernel_cosl (y[0], y[1]);
+ break;
+ default:
+ *sinx = -__kernel_cosl (y[0], y[1]);
+ *cosx = __kernel_sinl (y[0], y[1], 1);
+ break;
+ }
+ }
+}
+weak_alias (__sincosl, sincosl)
diff --git a/sysdeps/ieee754/ldbl-96/s_sinl.c b/sysdeps/ieee754/ldbl-96/s_sinl.c
new file mode 100644
index 0000000..4fd4880
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_sinl.c
@@ -0,0 +1,88 @@
+/* s_sinl.c -- long double version of s_sin.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* 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
+ *
+ * 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
+ *
+ * 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
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __sinl(long double x)
+#else
+ long double __sinl(x)
+ long double x;
+#endif
+{
+ long double y[2],z=0.0;
+ int32_t n, se, i0, i1;
+
+ /* High word of x. */
+ GET_LDOUBLE_WORDS(se,i0,i1,x);
+
+ /* |x| ~< pi/4 */
+ se &= 0x7fff;
+ if(se < 0x3ffe || (se == 0x3ffe && i0 <= 0xc90fdaa2))
+ return __kernel_sinl(x,z,0);
+
+ /* sin(Inf or NaN) is NaN */
+ else if (se==0x7fff) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2l(x,y);
+ switch(n&3) {
+ case 0: return __kernel_sinl(y[0],y[1],1);
+ case 1: return __kernel_cosl(y[0],y[1]);
+ case 2: return -__kernel_sinl(y[0],y[1],1);
+ default:
+ return -__kernel_cosl(y[0],y[1]);
+ }
+ }
+}
+weak_alias (__sinl, sinl)
diff --git a/sysdeps/ieee754/ldbl-96/s_tanhl.c b/sysdeps/ieee754/ldbl-96/s_tanhl.c
new file mode 100644
index 0000000..1e3dc3b
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_tanhl.c
@@ -0,0 +1,95 @@
+/* s_tanhl.c -- long double version of s_tanh.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* tanhl(x)
+ * Return the Hyperbolic Tangent of x
+ *
+ * Method :
+ * x -x
+ * e - e
+ * 0. tanhl(x) is defined to be -----------
+ * x -x
+ * e + e
+ * 1. reduce x to non-negative by tanhl(-x) = -tanhl(x).
+ * 2. 0 <= x <= 2**-55 : tanhl(x) := x*(one+x)
+ * -t
+ * 2**-55 < x <= 1 : tanhl(x) := -----; t = expm1l(-2x)
+ * t + 2
+ * 2
+ * 1 <= x <= 23.0 : tanhl(x) := 1- ----- ; t=expm1l(2x)
+ * t + 2
+ * 23.0 < x <= INF : tanhl(x) := 1.
+ *
+ * Special cases:
+ * tanhl(NaN) is NaN;
+ * only tanhl(0)=0 is exact for finite argument.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double one=1.0, two=2.0, tiny = 1.0e-4900L;
+#else
+static long double one=1.0, two=2.0, tiny = 1.0e-4900L;
+#endif
+
+#ifdef __STDC__
+ long double __tanhl(long double x)
+#else
+ long double __tanhl(x)
+ long double x;
+#endif
+{
+ long double t,z;
+ int32_t se;
+ u_int32_t j0,j1,ix;
+
+ /* High word of |x|. */
+ GET_LDOUBLE_WORDS(se,j0,j1,x);
+ ix = se&0x7fff;
+
+ /* x is INF or NaN */
+ if(ix==0x7fff) {
+ /* for NaN it's not important which branch: tanhl(NaN) = NaN */
+ if (se&0x8000) return one/x-one; /* tanhl(-inf)= -1; */
+ else return one/x+one; /* tanhl(+inf)=+1 */
+ }
+
+ /* |x| < 23 */
+ if (ix < 0x4003 || (ix == 0x4003 && j0 < 0xb8000000u)) {/* |x|<23 */
+ if ((ix|j0|j1) == 0)
+ return x; /* x == +- 0 */
+ if (ix<0x3fc8) /* |x|<2**-55 */
+ return x*(one+x); /* tanh(small) = small */
+ if (ix>=0x3fff) { /* |x|>=1 */
+ t = __expm1l(two*fabsl(x));
+ z = one - two/(t+two);
+ } else {
+ t = __expm1l(-two*fabsl(x));
+ z= -t/(t+two);
+ }
+ /* |x| > 23, return +-1 */
+ } else {
+ z = one - tiny; /* raised inexact flag */
+ }
+ return (se>0x7fff)? -z: z;
+}
+weak_alias (__tanhl, tanhl)
diff --git a/sysdeps/ieee754/ldbl-96/s_tanl.c b/sysdeps/ieee754/ldbl-96/s_tanl.c
new file mode 100644
index 0000000..97a0b27
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_tanl.c
@@ -0,0 +1,81 @@
+/* s_tanl.c -- long double version of s_tan.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/* tanl(x)
+ * Return tangent function of x.
+ *
+ * kernel function:
+ * __kernel_tanl ... tangent 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
+ *
+ * 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
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ long double __tanl(long double x)
+#else
+ long double __tanl(x)
+ long double x;
+#endif
+{
+ long double y[2],z=0.0;
+ int32_t n, se;
+
+ /* High word of x. */
+ GET_LDOUBLE_EXP(se,x);
+
+ /* |x| ~< pi/4 */
+ se &= 0x7fff;
+ if(se <= 0x3ffe) return __kernel_tanl(x,z,1);
+
+ /* tan(Inf or NaN) is NaN */
+ else if (se==0x7fff) return x-x; /* NaN */
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2l(x,y);
+ return __kernel_tanl(y[0],y[1],1-((n&1)<<1)); /* 1 -- n even
+ -1 -- n odd */
+ }
+}
+weak_alias (__tanl, tanl)
diff --git a/sysdeps/ieee754/ldbl-96/s_truncl.c b/sysdeps/ieee754/ldbl-96/s_truncl.c
new file mode 100644
index 0000000..59c3b9c
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_truncl.c
@@ -0,0 +1,57 @@
+/* Truncate argument to nearest integral value not larger than the argument.
+ Copyright (C) 1997, 1999 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+ Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+#include "math_private.h"
+
+
+long double
+__truncl (long double x)
+{
+ int32_t i0, j0;
+ u_int32_t se, i1;
+ int sx;
+
+ GET_LDOUBLE_WORDS (se, i0, i1, x);
+ sx = se & 0x8000;
+ j0 = (se & 0x7fff) - 0x3fff;
+ if (j0 < 31)
+ {
+ if (j0 < 0)
+ /* The magnitude of the number is < 1 so the result is +-0. */
+ SET_LDOUBLE_WORDS (x, sx, 0, 0);
+ else
+ SET_LDOUBLE_WORDS (x, se, i0 & ~(0x7fffffff >> j0), 0);
+ }
+ else if (j0 > 63)
+ {
+ if (j0 == 0x4000)
+ /* x is inf or NaN. */
+ return x + x;
+ }
+ else
+ {
+ SET_LDOUBLE_WORDS (x, se, i0, i1 & ~(0xffffffffu >> (j0 - 31)));
+ }
+
+ return x;
+}
+weak_alias (__truncl, truncl)
diff --git a/sysdeps/ieee754/ldbl-96/strtold.c b/sysdeps/ieee754/ldbl-96/strtold.c
new file mode 100644
index 0000000..cabb787
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/strtold.c
@@ -0,0 +1,42 @@
+/* Copyright (C) 1999 Free Software Foundation, Inc.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Library General Public License as
+ published by the Free Software Foundation; either version 2 of the
+ License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Library General Public License for more details.
+
+ You should have received a copy of the GNU Library General Public
+ License along with the GNU C Library; see the file COPYING.LIB. If not,
+ write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA. */
+
+#include <math.h>
+
+/* The actual implementation for all floating point sizes is in strtod.c.
+ These macros tell it to produce the `long double' version, `strtold'. */
+
+# define FLOAT long double
+# define FLT LDBL
+# ifdef USE_IN_EXTENDED_LOCALE_MODEL
+# define STRTOF __strtold_l
+# else
+# define STRTOF strtold
+# endif
+# define MPN2FLOAT __mpn_construct_long_double
+# define FLOAT_HUGE_VAL HUGE_VALL
+# define SET_MANTISSA(flt, mant) \
+ do { union ieee854_long_double u; \
+ u.d = (flt); \
+ if ((mant & 0x7fffffffffffffffULL) == 0) \
+ mant = 0x4000000000000000ULL; \
+ u.ieee.mantissa0 = (((mant) >> 32) & 0x7fffffff) | 0x80000000; \
+ u.ieee.mantissa1 = (mant) & 0xffffffff; \
+ (flt) = u.d; \
+ } while (0)
+
+# include "strtod.c"
diff --git a/sysdeps/ieee754/ldbl-96/w_expl.c b/sysdeps/ieee754/ldbl-96/w_expl.c
new file mode 100644
index 0000000..b8152ce
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/w_expl.c
@@ -0,0 +1,60 @@
+/* w_expl.c -- long double version of w_exp.c.
+ * Conversion to long double by Ulrich Drepper,
+ * Cygnus Support, drepper@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: $";
+#endif
+
+/*
+ * wrapper expl(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const long double
+#else
+static long double
+#endif
+o_threshold= 1.135652340629414394949193107797076489134e4,
+ /* 0x400C, 0xB17217F7, 0xD1CF79AC */
+u_threshold= -1.140019167866942050398521670162263001513e4;
+ /* 0x400C, 0xB220C447, 0x69C201E8 */
+
+#ifdef __STDC__
+ long double __expl(long double x) /* wrapper exp */
+#else
+ long double __expl(x) /* wrapper exp */
+ long double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_expl(x);
+#else
+ long double z;
+ z = __ieee754_expl(x);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(__finitel(x)) {
+ if(x>o_threshold)
+ return __kernel_standard(x,x,206); /* exp overflow */
+ else if(x<u_threshold)
+ return __kernel_standard(x,x,207); /* exp underflow */
+ }
+ return z;
+#endif
+}
+weak_alias (__expl, expl)
diff --git a/sysdeps/ieee754/s_lib_version.c b/sysdeps/ieee754/s_lib_version.c
new file mode 100644
index 0000000..121bdaa
--- /dev/null
+++ b/sysdeps/ieee754/s_lib_version.c
@@ -0,0 +1,40 @@
+/* @(#)s_lib_ver.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_lib_version.c,v 1.6 1995/05/10 20:47:44 jtc Exp $";
+#endif
+
+/*
+ * MACRO for standards
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * define and initialize _LIB_VERSION
+ */
+#ifdef _POSIX_MODE
+_LIB_VERSION_TYPE _LIB_VERSION = _POSIX_;
+#else
+#ifdef _XOPEN_MODE
+_LIB_VERSION_TYPE _LIB_VERSION = _XOPEN_;
+#else
+#ifdef _SVID3_MODE
+_LIB_VERSION_TYPE _LIB_VERSION = _SVID_;
+#else /* default _IEEE_MODE */
+_LIB_VERSION_TYPE _LIB_VERSION = _IEEE_;
+#endif
+#endif
+#endif
+
diff --git a/sysdeps/ieee754/s_matherr.c b/sysdeps/ieee754/s_matherr.c
new file mode 100644
index 0000000..1ad3eb3
--- /dev/null
+++ b/sysdeps/ieee754/s_matherr.c
@@ -0,0 +1,35 @@
+/* @(#)s_matherr.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_matherr.c,v 1.6 1995/05/10 20:47:53 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int
+ weak_function
+ __matherr(struct exception *x)
+#else
+ int
+ weak_function
+ __matherr(x)
+ struct exception *x;
+#endif
+{
+ int n=0;
+ if(x->arg1!=x->arg1) return 0;
+ return n;
+}
+weak_alias (__matherr, matherr)
diff --git a/sysdeps/ieee754/s_signgam.c b/sysdeps/ieee754/s_signgam.c
new file mode 100644
index 0000000..021b0ff
--- /dev/null
+++ b/sysdeps/ieee754/s_signgam.c
@@ -0,0 +1,3 @@
+#include "math.h"
+#include "math_private.h"
+int signgam;