aboutsummaryrefslogtreecommitdiff
diff options
context:
space:
mode:
-rw-r--r--ChangeLog31
-rw-r--r--NEWS20
-rw-r--r--math/Makefile66
-rw-r--r--math/finite.c31
-rw-r--r--math/machine/asm.h10
-rw-r--r--math/machine/endian.h4
-rw-r--r--math/math.h298
-rw-r--r--math/math_private.h222
-rw-r--r--math/mathcalls.h232
-rw-r--r--mathcalls.h1
-rw-r--r--sysdeps/generic/Makefile12
-rw-r--r--sysdeps/i386/fpu/Implies2
-rw-r--r--sysdeps/ieee754/Implies2
-rw-r--r--sysdeps/libm-i387/e_acos.S20
-rw-r--r--sysdeps/libm-i387/e_asin.S19
-rw-r--r--sysdeps/libm-i387/e_atan2.S14
-rw-r--r--sysdeps/libm-i387/e_atan2f.S14
-rw-r--r--sysdeps/libm-i387/e_exp.S23
-rw-r--r--sysdeps/libm-i387/e_fmod.S18
-rw-r--r--sysdeps/libm-i387/e_log.S14
-rw-r--r--sysdeps/libm-i387/e_log10.S14
-rw-r--r--sysdeps/libm-i387/e_remainder.S18
-rw-r--r--sysdeps/libm-i387/e_remainderf.S18
-rw-r--r--sysdeps/libm-i387/e_scalb.S14
-rw-r--r--sysdeps/libm-i387/e_sqrt.S13
-rw-r--r--sysdeps/libm-i387/e_sqrtf.S13
-rw-r--r--sysdeps/libm-i387/s_atan.S15
-rw-r--r--sysdeps/libm-i387/s_atanf.S15
-rw-r--r--sysdeps/libm-i387/s_ceil.S29
-rw-r--r--sysdeps/libm-i387/s_ceilf.S29
-rw-r--r--sysdeps/libm-i387/s_copysign.S19
-rw-r--r--sysdeps/libm-i387/s_copysignf.S19
-rw-r--r--sysdeps/libm-i387/s_cos.S27
-rw-r--r--sysdeps/libm-i387/s_cosf.S15
-rw-r--r--sysdeps/libm-i387/s_finite.S17
-rw-r--r--sysdeps/libm-i387/s_finitef.S17
-rw-r--r--sysdeps/libm-i387/s_floor.S29
-rw-r--r--sysdeps/libm-i387/s_floorf.S29
-rw-r--r--sysdeps/libm-i387/s_ilogb.S24
-rw-r--r--sysdeps/libm-i387/s_ilogbf.S24
-rw-r--r--sysdeps/libm-i387/s_log1p.S23
-rw-r--r--sysdeps/libm-i387/s_log1pf.S23
-rw-r--r--sysdeps/libm-i387/s_logb.S15
-rw-r--r--sysdeps/libm-i387/s_logbf.S15
-rw-r--r--sysdeps/libm-i387/s_rint.S14
-rw-r--r--sysdeps/libm-i387/s_rintf.S14
-rw-r--r--sysdeps/libm-i387/s_scalbn.S15
-rw-r--r--sysdeps/libm-i387/s_scalbnf.S15
-rw-r--r--sysdeps/libm-i387/s_significand.S15
-rw-r--r--sysdeps/libm-i387/s_significandf.S15
-rw-r--r--sysdeps/libm-i387/s_sin.S27
-rw-r--r--sysdeps/libm-i387/s_sinf.S15
-rw-r--r--sysdeps/libm-i387/s_tan.S29
-rw-r--r--sysdeps/libm-i387/s_tanf.S16
-rw-r--r--sysdeps/libm-ieee754/e_acos.c111
-rw-r--r--sysdeps/libm-ieee754/e_acosf.c89
-rw-r--r--sysdeps/libm-ieee754/e_acosh.c69
-rw-r--r--sysdeps/libm-ieee754/e_acoshf.c57
-rw-r--r--sysdeps/libm-ieee754/e_asin.c120
-rw-r--r--sysdeps/libm-ieee754/e_asinf.c92
-rw-r--r--sysdeps/libm-ieee754/e_atan2.c130
-rw-r--r--sysdeps/libm-ieee754/e_atan2f.c105
-rw-r--r--sysdeps/libm-ieee754/e_atanh.c74
-rw-r--r--sysdeps/libm-ieee754/e_atanhf.c58
-rw-r--r--sysdeps/libm-ieee754/e_cosh.c93
-rw-r--r--sysdeps/libm-ieee754/e_coshf.c72
-rw-r--r--sysdeps/libm-ieee754/e_exp.c167
-rw-r--r--sysdeps/libm-ieee754/e_expf.c104
-rw-r--r--sysdeps/libm-ieee754/e_fmod.c140
-rw-r--r--sysdeps/libm-ieee754/e_fmodf.c113
-rw-r--r--sysdeps/libm-ieee754/e_hypot.c128
-rw-r--r--sysdeps/libm-ieee754/e_hypotf.c87
-rw-r--r--sysdeps/libm-ieee754/e_j0.c487
-rw-r--r--sysdeps/libm-ieee754/e_j0f.c444
-rw-r--r--sysdeps/libm-ieee754/e_j1.c486
-rw-r--r--sysdeps/libm-ieee754/e_j1f.c444
-rw-r--r--sysdeps/libm-ieee754/e_jn.c281
-rw-r--r--sysdeps/libm-ieee754/e_jnf.c212
-rw-r--r--sysdeps/libm-ieee754/e_lgamma_r.c312
-rw-r--r--sysdeps/libm-ieee754/e_lgammaf_r.c248
-rw-r--r--sysdeps/libm-ieee754/e_log.c146
-rw-r--r--sysdeps/libm-ieee754/e_log10.c98
-rw-r--r--sysdeps/libm-ieee754/e_log10f.c67
-rw-r--r--sysdeps/libm-ieee754/e_logf.c97
-rw-r--r--sysdeps/libm-ieee754/e_pow.c308
-rw-r--r--sysdeps/libm-ieee754/e_powf.c253
-rw-r--r--sysdeps/libm-ieee754/e_rem_pio2.c183
-rw-r--r--sysdeps/libm-ieee754/e_rem_pio2f.c196
-rw-r--r--sysdeps/libm-ieee754/e_remainder.c80
-rw-r--r--sysdeps/libm-ieee754/e_remainderf.c73
-rw-r--r--sysdeps/libm-ieee754/e_scalb.c55
-rw-r--r--sysdeps/libm-ieee754/e_scalbf.c52
-rw-r--r--sysdeps/libm-ieee754/e_sinh.c86
-rw-r--r--sysdeps/libm-ieee754/e_sinhf.c68
-rw-r--r--sysdeps/libm-ieee754/e_sqrt.c453
-rw-r--r--sysdeps/libm-ieee754/e_sqrtf.c97
-rw-r--r--sysdeps/libm-ieee754/k_cos.c96
-rw-r--r--sysdeps/libm-ieee754/k_cosf.c64
-rw-r--r--sysdeps/libm-ieee754/k_rem_pio2.c320
-rw-r--r--sysdeps/libm-ieee754/k_rem_pio2f.c213
-rw-r--r--sysdeps/libm-ieee754/k_sin.c79
-rw-r--r--sysdeps/libm-ieee754/k_sinf.c54
-rw-r--r--sysdeps/libm-ieee754/k_standard.c782
-rw-r--r--sysdeps/libm-ieee754/k_tan.c131
-rw-r--r--sysdeps/libm-ieee754/k_tanf.c101
-rw-r--r--sysdeps/libm-ieee754/s_asinh.c70
-rw-r--r--sysdeps/libm-ieee754/s_asinhf.c58
-rw-r--r--sysdeps/libm-ieee754/s_atan.c140
-rw-r--r--sysdeps/libm-ieee754/s_atanf.c120
-rw-r--r--sysdeps/libm-ieee754/s_cbrt.c94
-rw-r--r--sysdeps/libm-ieee754/s_cbrtf.c84
-rw-r--r--sysdeps/libm-ieee754/s_ceil.c81
-rw-r--r--sysdeps/libm-ieee754/s_ceilf.c62
-rw-r--r--sysdeps/libm-ieee754/s_copysign.c39
-rw-r--r--sysdeps/libm-ieee754/s_copysignf.c42
-rw-r--r--sysdeps/libm-ieee754/s_cos.c83
-rw-r--r--sysdeps/libm-ieee754/s_cosf.c60
-rw-r--r--sysdeps/libm-ieee754/s_erf.c316
-rw-r--r--sysdeps/libm-ieee754/s_erff.c225
-rw-r--r--sysdeps/libm-ieee754/s_expm1.c229
-rw-r--r--sysdeps/libm-ieee754/s_expm1f.c134
-rw-r--r--sysdeps/libm-ieee754/s_fabs.c36
-rw-r--r--sysdeps/libm-ieee754/s_fabsf.c39
-rw-r--r--sysdeps/libm-ieee754/s_finite.c36
-rw-r--r--sysdeps/libm-ieee754/s_finitef.c39
-rw-r--r--sysdeps/libm-ieee754/s_floor.c82
-rw-r--r--sysdeps/libm-ieee754/s_floorf.c71
-rw-r--r--sysdeps/libm-ieee754/s_frexp.c60
-rw-r--r--sysdeps/libm-ieee754/s_frexpf.c53
-rw-r--r--sysdeps/libm-ieee754/s_ilogb.c52
-rw-r--r--sysdeps/libm-ieee754/s_ilogbf.c44
-rw-r--r--sysdeps/libm-ieee754/s_isinf.c32
-rw-r--r--sysdeps/libm-ieee754/s_isinff.c31
-rw-r--r--sysdeps/libm-ieee754/s_isnan.c39
-rw-r--r--sysdeps/libm-ieee754/s_isnanf.c41
-rw-r--r--sysdeps/libm-ieee754/s_ldexp.c33
-rw-r--r--sysdeps/libm-ieee754/s_ldexpf.c36
-rw-r--r--sysdeps/libm-ieee754/s_lib_version.c40
-rw-r--r--sysdeps/libm-ieee754/s_log1p.c174
-rw-r--r--sysdeps/libm-ieee754/s_log1pf.c113
-rw-r--r--sysdeps/libm-ieee754/s_logb.c43
-rw-r--r--sysdeps/libm-ieee754/s_logbf.c40
-rw-r--r--sysdeps/libm-ieee754/s_matherr.c31
-rw-r--r--sysdeps/libm-ieee754/s_modf.c84
-rw-r--r--sysdeps/libm-ieee754/s_modff.c65
-rw-r--r--sysdeps/libm-ieee754/s_nextafter.c80
-rw-r--r--sysdeps/libm-ieee754/s_nextafterf.c71
-rw-r--r--sysdeps/libm-ieee754/s_rint.c87
-rw-r--r--sysdeps/libm-ieee754/s_rintf.c72
-rw-r--r--sysdeps/libm-ieee754/s_scalbn.c67
-rw-r--r--sysdeps/libm-ieee754/s_scalbnf.c63
-rw-r--r--sysdeps/libm-ieee754/s_signgam.c3
-rw-r--r--sysdeps/libm-ieee754/s_significand.c35
-rw-r--r--sysdeps/libm-ieee754/s_significandf.c32
-rw-r--r--sysdeps/libm-ieee754/s_sin.c83
-rw-r--r--sysdeps/libm-ieee754/s_sinf.c54
-rw-r--r--sysdeps/libm-ieee754/s_tan.c77
-rw-r--r--sysdeps/libm-ieee754/s_tanf.c49
-rw-r--r--sysdeps/libm-ieee754/s_tanh.c87
-rw-r--r--sysdeps/libm-ieee754/s_tanhf.c65
-rw-r--r--sysdeps/libm-ieee754/w_acos.c44
-rw-r--r--sysdeps/libm-ieee754/w_acosf.c48
-rw-r--r--sysdeps/libm-ieee754/w_acosh.c43
-rw-r--r--sysdeps/libm-ieee754/w_acoshf.c48
-rw-r--r--sysdeps/libm-ieee754/w_asin.c45
-rw-r--r--sysdeps/libm-ieee754/w_asinf.c49
-rw-r--r--sysdeps/libm-ieee754/w_atan2.c44
-rw-r--r--sysdeps/libm-ieee754/w_atan2f.c48
-rw-r--r--sysdeps/libm-ieee754/w_atanh.c48
-rw-r--r--sysdeps/libm-ieee754/w_atanhf.c53
-rw-r--r--sysdeps/libm-ieee754/w_cabs.c16
-rw-r--r--sysdeps/libm-ieee754/w_cabsf.c17
-rw-r--r--sysdeps/libm-ieee754/w_cosh.c43
-rw-r--r--sysdeps/libm-ieee754/w_coshf.c47
-rw-r--r--sysdeps/libm-ieee754/w_drem.c16
-rw-r--r--sysdeps/libm-ieee754/w_dremf.c17
-rw-r--r--sysdeps/libm-ieee754/w_exp.c54
-rw-r--r--sysdeps/libm-ieee754/w_expf.c59
-rw-r--r--sysdeps/libm-ieee754/w_fmod.c44
-rw-r--r--sysdeps/libm-ieee754/w_fmodf.c48
-rw-r--r--sysdeps/libm-ieee754/w_gamma.c50
-rw-r--r--sysdeps/libm-ieee754/w_gamma_r.c47
-rw-r--r--sysdeps/libm-ieee754/w_gammaf.c49
-rw-r--r--sysdeps/libm-ieee754/w_gammaf_r.c52
-rw-r--r--sysdeps/libm-ieee754/w_hypot.c44
-rw-r--r--sysdeps/libm-ieee754/w_hypotf.c48
-rw-r--r--sysdeps/libm-ieee754/w_j0.c71
-rw-r--r--sysdeps/libm-ieee754/w_j0f.c76
-rw-r--r--sysdeps/libm-ieee754/w_j1.c72
-rw-r--r--sysdeps/libm-ieee754/w_j1f.c77
-rw-r--r--sysdeps/libm-ieee754/w_jn.c94
-rw-r--r--sysdeps/libm-ieee754/w_jnf.c73
-rw-r--r--sysdeps/libm-ieee754/w_lgamma.c50
-rw-r--r--sysdeps/libm-ieee754/w_lgamma_r.c47
-rw-r--r--sysdeps/libm-ieee754/w_lgammaf.c49
-rw-r--r--sysdeps/libm-ieee754/w_lgammaf_r.c52
-rw-r--r--sysdeps/libm-ieee754/w_log.c44
-rw-r--r--sysdeps/libm-ieee754/w_log10.c47
-rw-r--r--sysdeps/libm-ieee754/w_log10f.c52
-rw-r--r--sysdeps/libm-ieee754/w_logf.c49
-rw-r--r--sysdeps/libm-ieee754/w_pow.c62
-rw-r--r--sysdeps/libm-ieee754/w_powf.c73
-rw-r--r--sysdeps/libm-ieee754/w_remainder.c43
-rw-r--r--sysdeps/libm-ieee754/w_remainderf.c47
-rw-r--r--sysdeps/libm-ieee754/w_scalb.c61
-rw-r--r--sysdeps/libm-ieee754/w_scalbf.c66
-rw-r--r--sysdeps/libm-ieee754/w_sinh.c43
-rw-r--r--sysdeps/libm-ieee754/w_sinhf.c47
-rw-r--r--sysdeps/libm-ieee754/w_sqrt.c43
-rw-r--r--sysdeps/libm-ieee754/w_sqrtf.c47
210 files changed, 16860 insertions, 299 deletions
diff --git a/ChangeLog b/ChangeLog
index 3c9eadc..6b121bd 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,7 @@
+Mon Mar 4 20:54:40 1996 Andreas Schwab <schwab@issan.informatik.uni-dortmund.de>
+
+ * Makeconfig ($(common-objpfx)config.make): Depend on config.h.in.
+
Tue Mar 5 12:14:57 1996 Miles Bader <miles@gnu.ai.mit.edu>
* sysdeps/mach/hurd/select.c (__select): Also don't fault just
@@ -9,7 +13,32 @@ Mon Mar 4 17:35:35 1996 Miles Bader <miles@gnu.ai.mit.edu>
Don't increment GOT only because READ/WRITE/EXCEPTFDS is 0!
Don't return without frobbing the bitmasks after a timeout.
When clearing the bitmasks, only loop from FIRSTFD to LASTFD.
-
+
+Mon Mar 4 17:35:09 1996 Roland McGrath <roland@charlie-brown.gnu.ai.mit.edu>
+
+ * hurd/catch-signal.c (hurd_safe_memmove): New function.
+ (hurd_safe_copyin, hurd_safe_copyout): New functions.
+ * hurd/hurd/sigpreempt.h: Declare them.
+
+Sun Mar 3 08:43:44 1996 Roland McGrath <roland@charlie-brown.gnu.ai.mit.edu>
+
+ Replace math code with fdlibm from Sun as modified for netbsd by
+ JT Conklin and Ian Taylor, including x86 FPU support.
+ * sysdeps/libm-ieee754, sysdeps/libm-i387: New directories.
+ * math/math_private.h: New file.
+ * sysdeps/i386/fpu/Implies: New file.
+ * sysdeps/ieee754/Implies: New file.
+ * math/machine/asm.h, math/machine/endian.h: New files.
+ * math/Makefile, math/math.h: Rewritten.
+ * mathcalls.h, math/mathcalls.h: New file, broken out of math.h.
+ * math/finite.c: File removed.
+ * sysdeps/generic/Makefile [$(subdir)=math]: Frobnication removed.
+
+ * math/test-math.c: Include errno.h and string.h.
+
+ * sysdeps/unix/bsd/dirstream.h: File removed.
+ * sysdeps/unix/bsd/readdir.c: File removed.
+
Sat Mar 2 16:35:40 1996 Roland McGrath <roland@charlie-brown.gnu.ai.mit.edu>
* sysdeps/unix/sysv/linux/m68k/profil-counter.h: File removed.
diff --git a/NEWS b/NEWS
index c5b0d45..0c1743f 100644
--- a/NEWS
+++ b/NEWS
@@ -37,6 +37,11 @@ Version 1.10
through the interface in <sys/gmon.h>. The profiling code was adapted
from 4.4 BSD-Lite.
+* The math code has been replaced with a math library based on fdlibm from
+ Sun, and modified by JT Conklin with i387 support and by Ian Taylor with
+ `float' functions. The math functions now reside in a separate library,
+ so programs using them will need to use `-lm' their linking commands.
+
* The new functions `strtoq' and `strtouq' parse integer values from
strings, like `strtol' and `strtoul', but they return `long long int' and
`unsigned long long int' values, respectively (64-bit quantities).
@@ -53,6 +58,10 @@ Version 1.10
* The new header <langinfo.h> defines an interface for accessing
various locale-dependent data (using the locale chosen with `setlocale').
+* Ulrich Drepper has contributed a new suite of functions for operation on
+ wide-character and multibyte-character strings; see <wcstr.h> and <mbstr.h>.
+ These new functions are intended to conform to the ISO C specification.
+
* You can now use positional parameter specifications in format strings
for the `printf' and `scanf' families of functions. For example,
`printf ("Number %2$d, Mr %1$s\n", "Jones", 6);'' prints
@@ -163,10 +172,13 @@ Version 1.10
* New function `getsid' returns session ID number on systems that support it.
-* The 4.4 BSD `db' library has been incorporated into the GNU C library.
- New header files <db.h> and <mpool.h> provide a rich set of functions for
- several types of simple databases stored in memory and in files, and
- <ndbm.h> is an old `ndbm'-compatbile interface using the `db' functions.
+* We have incorporated the 4.4 BSD `db' library (version 1.85). New header
+ files <db.h> and <mpool.h> provide a rich set of functions for several
+ types of simple databases stored in memory and in files, and <ndbm.h> is
+ an old `ndbm'-compatbile interface using the `db' functions.
+
+* New macro `strdupa' copies a string like `strdup', but uses local stack
+ space from `alloca' instead of dynamic heap space from `malloc'.
Version 1.09
diff --git a/math/Makefile b/math/Makefile
index c86d44a..a2ceb06 100644
--- a/math/Makefile
+++ b/math/Makefile
@@ -1,4 +1,6 @@
-# Copyright (C) 1991, 1992, 1994, 1995 Free Software Foundation, Inc.
+# Makefile for the math library.
+
+# Copyright (C) 1996 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
@@ -16,24 +18,58 @@
# not, write to the Free Software Foundation, Inc., 675 Mass Ave,
# Cambridge, MA 02139, USA.
-#
-# Makefile for math.
-#
-subdir := math
+subdir := math
+
+# Installed header files.
+headers := math.h mathcalls.h __math.h huge_val.h nan.h
+
+# Internal header files.
+distribute := math_private.h machine/asm.h machine/endian.h
-headers := math.h __math.h huge_val.h nan.h
+# Build the -lm library.
-routines := acos asin atan cos sin tan cosh sinh tanh exp fabs ldexp \
- log log10 floor sqrt fmod frexp pow atan2 ceil modf \
- isinf isnan finite infnan copysign drem logb \
- rint hypot cabs cbrt expm1 log1p acosh asinh atanh \
- isinfl isnanl
-tests := # test-math
-install-lib := libm.a
+extra-libs := libm
+libm.so-version := .0
+libm-routines := e_acos e_acosf e_acosh e_acoshf e_asin e_asinf \
+ e_atan2 e_atan2f e_atanh e_atanhf e_cosh e_coshf \
+ e_exp e_expf e_fmod e_fmodf e_hypot e_hypotf e_j0 \
+ e_j0f e_j1 e_j1f e_jn e_jnf e_lgamma_r e_lgammaf_r \
+ e_log e_log10 e_log10f e_logf e_pow e_powf \
+ e_rem_pio2 e_rem_pio2f e_remainder e_remainderf \
+ e_scalb e_scalbf e_sinh e_sinhf e_sqrt e_sqrtf k_cos \
+ k_cosf k_rem_pio2 k_rem_pio2f k_sin k_sinf \
+ k_standard k_tan k_tanf s_asinh s_asinhf s_atan \
+ s_atanf s_cbrt s_cbrtf s_ceil s_ceilf s_copysign \
+ s_copysignf s_cos s_cosf s_erf s_erff s_expm1 \
+ s_expm1f s_fabs s_fabsf s_finite s_finitef s_floor \
+ s_floorf s_frexp s_frexpf s_ilogb s_ilogbf \
+ s_ldexp s_ldexpf s_lib_version s_log1p s_log1pf \
+ s_logb s_logbf s_matherr s_modf s_modff s_nextafter \
+ s_nextafterf s_rint s_rintf s_scalbn s_scalbnf \
+ s_signgam s_significand s_significandf s_sin s_sinf \
+ s_tan s_tanf s_tanh s_tanhf w_acos w_acosf w_acosh \
+ w_acoshf w_asin w_asinf w_atan2 w_atan2f w_atanh \
+ w_atanhf w_cabs w_cabsf w_cosh w_coshf w_drem \
+ w_dremf w_exp w_expf w_fmod w_fmodf w_gamma \
+ w_gamma_r w_gammaf w_gammaf_r w_hypot w_hypotf w_j0 \
+ w_j0f w_j1 w_j1f w_jn w_jnf w_lgamma w_lgamma_r \
+ w_lgammaf w_lgammaf_r w_log w_log10 w_log10f w_logf \
+ w_pow w_powf w_remainder w_remainderf w_scalb \
+ w_scalbf w_sinh w_sinhf w_sqrt w_sqrtf
+
+# These functions are in libc instead of libm because __printf_fp
+# calls them, so any program using printf will need them linked in,
+# and we don't want to have to link every program with -lm.
+routines := s_isinf s_isinff s_isnan s_isnanf isinfl isnanl
include ../Rules
-$(objpfx)libm.a: $(dep-dummy-lib); $(make-dummy-lib)
-lib: $(objpfx)libm.a
+
+# This file defines the default _LIB_VERSION variable that controls
+# the error return conventions for the math functions.
+CPPFLAGS-s_lib_version.c := -D_POSIX_MODE
+
+# The fdlibm code generates a lot of these warnings but is otherwise clean.
+override CFLAGS += -Wno-uninitialized -Wno-write-strings
diff --git a/math/finite.c b/math/finite.c
deleted file mode 100644
index 48f8f80..0000000
--- a/math/finite.c
+++ /dev/null
@@ -1,31 +0,0 @@
-/* Copyright (C) 1991, 1992, 1995 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., 675 Mass Ave,
-Cambridge, MA 02139, USA. */
-
-#include <ansidecl.h>
-#include <math.h>
-
-#undef __finite
-
-/* Return nonzero if VALUE is finite and not NaN. */
-int
-DEFUN(__finite, (value), double value)
-{
- return !__isinf (value) && !__isnan (value);
-}
-
-weak_alias (__finite, finite)
diff --git a/math/machine/asm.h b/math/machine/asm.h
new file mode 100644
index 0000000..548e248
--- /dev/null
+++ b/math/machine/asm.h
@@ -0,0 +1,10 @@
+/* The libm assembly code wants to include <machine/asm.h> to define the
+ ENTRY macro. We define assembly-related macros in sysdep.h and
+ asm-syntax.h. */
+
+#include <sysdep.h>
+#include <asm-syntax.h>
+
+/* The libm assembly code uses this macro for RCSid strings.
+ We don't put RCSid strings into object files. */
+#define RCSID(id) /* ignore them */
diff --git a/math/machine/endian.h b/math/machine/endian.h
new file mode 100644
index 0000000..8880456
--- /dev/null
+++ b/math/machine/endian.h
@@ -0,0 +1,4 @@
+/* math_private.h wants to include <machine/endian.h>; we provide this
+ file so it can, leaving math_private.h unmodified from the original. */
+
+#include <endian.h>
diff --git a/math/math.h b/math/math.h
index c30928d..2693fcc 100644
--- a/math/math.h
+++ b/math/math.h
@@ -1,4 +1,5 @@
-/* Copyright (C) 1991, 1992, 1993, 1995 Free Software Foundation, Inc.
+/* Declarations for math functions.
+Copyright (C) 1991, 92, 93, 95, 96 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
@@ -30,7 +31,8 @@ __BEGIN_DECLS
#define __need_Emath
#include <errno.h>
-/* Get machine-dependent HUGE_VAL value (returned on overflow). */
+/* Get machine-dependent HUGE_VAL value (returned on overflow).
+ On all IEEE754 machines, this is +Infinity. */
#include <huge_val.h>
/* Get machine-dependent NAN value (returned for some domain errors). */
@@ -39,260 +41,84 @@ __BEGIN_DECLS
#endif
-/* Trigonometric functions. */
-
-/* Arc cosine of X. */
-extern double acos __P ((double __x)) __attribute__ ((__const__));
-/* Arc sine of X. */
-extern double asin __P ((double __x)) __attribute__ ((__const__));
-/* Arc tangent of X. */
-extern double atan __P ((double __x)) __attribute__ ((__const__));
-/* Arc tangent of Y/X. */
-extern double atan2 __P ((double __y, double __x)) __attribute__ ((__const__));
-
-/* Cosine of X. */
-extern double cos __P ((double __x)) __attribute__ ((__const__));
-/* Sine of X. */
-extern double sin __P ((double __x)) __attribute__ ((__const__));
-/* Tangent of X. */
-extern double tan __P ((double __x)) __attribute__ ((__const__));
-
-
-/* Hyperbolic functions. */
-
-/* Hyperbolic cosine of X. */
-extern double cosh __P ((double __x)) __attribute__ ((__const__));
-/* Hyperbolic sine of X. */
-extern double sinh __P ((double __x)) __attribute__ ((__const__));
-/* Hyperbolic tangent of X. */
-extern double tanh __P ((double __x)) __attribute__ ((__const__));
-
-#ifdef __USE_MISC
-/* Hyperbolic arc cosine of X. */
-extern double acosh __P ((double __x)) __attribute__ ((__const__));
-/* Hyperbolic arc sine of X. */
-extern double asinh __P ((double __x)) __attribute__ ((__const__));
-/* Hyperbolic arc tangent of X. */
-extern double atanh __P ((double __x)) __attribute__ ((__const__));
+/* The file <mathcalls.h> contains the prototypes for all the actual
+ math functions. These macros are used for those prototypes, so
+ we can easily declare each function as both `name' and `__name',
+ and can declare the float versions `namef' and `__namef'. */
+
+#define __MATHCALL(function,suffix, args) \
+ __MATHDECL (_Mdouble_, function,suffix, args)
+#define __MATHDECL(type, function,suffix, args) \
+ __MATHDECL_1(type, function,suffix, args); \
+ __MATHDECL_1(type, __##function,suffix, args)
+#define __MATHDECL_1(type, function,suffix, args) \
+ extern type __MATH_PRECNAME(function,suffix) args
+
+#define _Mdouble_ double
+#define __MATH_PRECNAME(name,r) name##r
+#include <mathcalls.h>
+#undef _Mdouble_
+#undef __MATH_PRECNAME
+
+#ifdef __USE_MISC
+/* Include the file of declarations again, this type using `float'
+ instead of `double' and appending f to each function name. */
+
+#define _Mdouble_ float
+#define __MATH_PRECNAME(name,r) name##f##r
+#include <mathcalls.h>
+#undef _Mdouble_
+#undef __MATH_PRECNAME
#endif
-/* Exponential and logarithmic functions. */
-
-/* Exponentional function of X. */
-extern double exp __P ((double __x)) __attribute__ ((__const__));
-
-/* Break VALUE into a normalized fraction and an integral power of 2. */
-extern double frexp __P ((double __value, int *__exp));
-
-/* X times (two to the EXP power). */
-extern double ldexp __P ((double __x, int __exp)) __attribute__ ((__const__));
-
-/* Natural logarithm of X. */
-extern double log __P ((double __x)) __attribute__ ((__const__));
-
-/* Base-ten logarithm of X. */
-extern double log10 __P ((double __x)) __attribute__ ((__const__));
#ifdef __USE_MISC
-/* Return exp(X) - 1. */
-extern double __expm1 __P ((double __x)) __attribute__ ((__const__));
-extern double expm1 __P ((double __x)) __attribute__ ((__const__));
-
-/* Return log(1 + X). */
-extern double log1p __P ((double __x)) __attribute__ ((__const__));
-#endif
-
-/* Break VALUE into integral and fractional parts. */
-extern double modf __P ((double __value, double *__iptr));
-
+/* Support for various different standard error handling behaviors. */
-/* Power functions. */
+typedef enum { _IEEE_ = -1, _SVID_, _XOPEN_, _POSIX_ } _LIB_VERSION_TYPE;
-/* Return X to the Y power. */
-extern double pow __P ((double __x, double __y)) __attribute__ ((__const__));
-
-/* Return the square root of X. */
-extern double sqrt __P ((double __x)) __attribute__ ((__const__));
-
-#ifdef __USE_MISC
-/* Return the cube root of X. */
-extern double cbrt __P ((double __x)) __attribute__ ((__const__));
+/* This variable can be changed at run-time to any of the values above to
+ affect floating point error handling behavior (it may also be necessary
+ to change the hardware FPU exception settings). */
+extern _LIB_VERSION_TYPE _LIB_VERSION;
#endif
-/* Nearest integer, absolute value, and remainder functions. */
-
-/* Smallest integral value not less than X. */
-extern double ceil __P ((double __x)) __attribute__ ((__const__));
-
-/* Absolute value of X. */
-extern double fabs __P ((double __x)) __attribute__ ((__const__));
-
-/* Largest integer not greater than X. */
-extern double floor __P ((double __x)) __attribute__ ((__const__));
-
-/* Floating-point modulo remainder of X/Y. */
-extern double fmod __P ((double __x, double __y)) __attribute__ ((__const__));
-
+#ifdef __USE_SVID
+/* In SVID error handling, `matherr' is called with this description
+ of the exceptional condition. */
+struct exception
+ {
+ int type;
+ char *name;
+ double arg1;
+ double arg2;
+ double retval;
+ };
-/* Return 0 if VALUE is finite or NaN, +1 if it
- is +Infinity, -1 if it is -Infinity. */
-extern int __isinf __P ((double __value)) __attribute__ ((__const__));
+extern int matherr __P ((struct exception *));
-/* Return nonzero if VALUE is not a number. */
-extern int __isnan __P ((double __value)) __attribute__ ((__const__));
+#define X_TLOSS 1.41484755040568800000e+16
-/* Return nonzero if VALUE is finite and not NaN. */
-extern int __finite __P ((double __value)) __attribute__ ((__const__));
-#ifdef __OPTIMIZE__
-#define __finite(value) (!__isinf(value))
-#endif
-
-/* Deal with an infinite or NaN result.
- If ERROR is ERANGE, result is +Inf;
- if ERROR is - ERANGE, result is -Inf;
- otherwise result is NaN.
- This will set `errno' to either ERANGE or EDOM,
- and may return an infinity or NaN, or may do something else. */
-extern double __infnan __P ((int __error));
+/* Types of exceptions in the `type' field. */
+#define DOMAIN 1
+#define SING 2
+#define OVERFLOW 3
+#define UNDERFLOW 4
+#define TLOSS 5
+#define PLOSS 6
-/* Return X with its signed changed to Y's. */
-extern double __copysign __P ((double __x, double __y))
- __attribute__ ((__const__));
+/* SVID mode specifies returning this large value instead of infinity. */
+#define HUGE FLT_MAX
+#include <float.h> /* Defines FLT_MAX. */
-/* Return X times (2 to the Nth power). */
-extern double __scalb __P ((double __x, int __n))
- __attribute__ ((__const__));
-
-#ifdef __OPTIMIZE__
-#define __scalb(x, n) ldexp ((x), (n))
#endif
-/* Return the remainder of X/Y. */
-extern double __drem __P ((double __x, double __y))
- __attribute__ ((__const__));
-
-/* Return the base 2 signed integral exponent of X. */
-extern double __logb __P ((double __x)) __attribute__ ((__const__));
-
-#ifdef __USE_MISC
-
-/* Return the integer nearest X in the direction of the
- prevailing rounding mode. */
-extern double __rint __P ((double __x)) __attribute__ ((__const__));
-extern double rint __P ((double __x)) __attribute__ ((__const__));
-
-/* Return `sqrt(X*X + Y*Y)'. */
-extern double hypot __P ((double __x, double __y)) __attribute__ ((__const__));
-
-struct __cabs_complex
-{
- double __x, __y;
-};
-
-/* Return `sqrt(X*X + Y*Y)'. */
-extern double cabs __P ((struct __cabs_complex)) __attribute__ ((__const__));
-
-extern int isinf __P ((double __value)) __attribute__ ((__const__));
-extern int isnan __P ((double __value)) __attribute__ ((__const__));
-extern int finite __P ((double __value)) __attribute__ ((__const__));
-extern double infnan __P ((int __error)) __attribute__ ((__const__));
-extern double copysign __P ((double __x, double __y))
- __attribute__ ((__const__));
-extern double scalb __P ((double __x, int __n)) __attribute__ ((__const__));
-extern double drem __P ((double __x, double __y)) __attribute__ ((__const__));
-extern double logb __P ((double __x)) __attribute__ ((__const__));
-
-#ifdef __OPTIMIZE__
-#define isinf(value) __isinf(value)
-#define isnan(value) __isnan(value)
-#define infnan(error) __infnan(error)
-#define finite(value) __finite(value)
-#define copysign(x, y) __copysign((x), (y))
-#define scalb(x, n) __scalb((x), (n))
-#define drem(x, y) __drem((x), (y))
-#define logb(x) __logb(x)
-#endif /* Optimizing. */
-
-#endif /* Use misc. */
-
-
-#if 0
-/* The "Future Library Directions" section of the
- ANSI Standard reserves these as `float' and
- `long double' versions of the above functions. */
-
-extern float acosf __P ((float __x)) __attribute__ ((__const__));
-extern float asinf __P ((float __x)) __attribute__ ((__const__));
-extern float atanf __P ((float __x)) __attribute__ ((__const__));
-extern float atan2f __P ((float __y, float __x)) __attribute__ ((__const__));
-extern float cosf __P ((float __x)) __attribute__ ((__const__));
-extern float sinf __P ((float __x)) __attribute__ ((__const__));
-extern float tanf __P ((float __x)) __attribute__ ((__const__));
-extern float coshf __P ((float __x)) __attribute__ ((__const__));
-extern float sinhf __P ((float __x)) __attribute__ ((__const__));
-extern float tanhf __P ((float __x)) __attribute__ ((__const__));
-extern float expf __P ((float __x)) __attribute__ ((__const__));
-extern float frexpf __P ((float __value, int *__exp));
-extern float ldexpf __P ((float __x, int __exp)) __attribute__ ((__const__));
-extern float logf __P ((float __x)) __attribute__ ((__const__));
-extern float log10f __P ((float __x)) __attribute__ ((__const__));
-extern float modff __P ((float __value, float *__iptr));
-extern float powf __P ((float __x, float __y)) __attribute__ ((__const__));
-extern float sqrtf __P ((float __x)) __attribute__ ((__const__));
-extern float ceilf __P ((float __x)) __attribute__ ((__const__));
-extern float fabsf __P ((float __x)) __attribute__ ((__const__));
-extern float floorf __P ((float __x)) __attribute__ ((__const__));
-extern float fmodf __P ((float __x, float __y)) __attribute__ ((__const__));
-
-extern __long_double_t acosl __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t asinl __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t atanl __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t atan2l __P ((__long_double_t __y, __long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t cosl __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t sinl __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t tanl __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t coshl __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t sinhl __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t tanhl __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t expl __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t frexpl __P ((__long_double_t __value, int *__exp));
-extern __long_double_t ldexpl __P ((__long_double_t __x, int __exp))
- __attribute__ ((__const__));
-extern __long_double_t logl __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t log10l __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t modfl __P ((__long_double_t __value,
- __long_double_t *__ip));
-extern __long_double_t powl __P ((__long_double_t __x, __long_double_t __y))
- __attribute__ ((__const__));
-extern __long_double_t sqrtl __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t ceill __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t fabsl __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t floorl __P ((__long_double_t __x))
- __attribute__ ((__const__));
-extern __long_double_t fmodl __P ((__long_double_t __x, __long_double_t __y))
- __attribute__ ((__const__));
-#endif /* 0 */
/* Get machine-dependent inline versions (if there are any). */
#include <__math.h>
+
__END_DECLS
diff --git a/math/math_private.h b/math/math_private.h
new file mode 100644
index 0000000..95f65a2
--- /dev/null
+++ b/math/math_private.h
@@ -0,0 +1,222 @@
+/*
+ * ====================================================
+ * 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.
+ * ====================================================
+ */
+
+/*
+ * from: @(#)fdlibm.h 5.1 93/09/24
+ * $Id$
+ */
+
+#ifndef _MATH_PRIVATE_H_
+#define _MATH_PRIVATE_H_
+
+#include <machine/endian.h>
+#include <sys/types.h>
+
+/* The original fdlibm code used statements like:
+ n0 = ((*(int*)&one)>>29)^1; * index of high word *
+ ix0 = *(n0+(int*)&x); * high word of x *
+ ix1 = *((1-n0)+(int*)&x); * low word of x *
+ to dig two 32 bit words out of the 64 bit IEEE floating point
+ value. That is non-ANSI, and, moreover, the gcc instruction
+ scheduler gets it wrong. We instead use the following macros.
+ Unlike the original code, we determine the endianness at compile
+ time, not at run time; I don't see much benefit to selecting
+ endianness at run time. */
+
+/* A union which permits us to convert between a double and two 32 bit
+ ints. */
+
+#if BYTE_ORDER == BIG_ENDIAN
+
+typedef union
+{
+ double value;
+ struct
+ {
+ u_int32_t msw;
+ u_int32_t lsw;
+ } parts;
+} ieee_double_shape_type;
+
+#endif
+
+#if BYTE_ORDER == LITTLE_ENDIAN
+
+typedef union
+{
+ double value;
+ struct
+ {
+ u_int32_t lsw;
+ u_int32_t msw;
+ } parts;
+} ieee_double_shape_type;
+
+#endif
+
+/* Get two 32 bit ints from a double. */
+
+#define EXTRACT_WORDS(ix0,ix1,d) \
+do { \
+ ieee_double_shape_type ew_u; \
+ ew_u.value = (d); \
+ (ix0) = ew_u.parts.msw; \
+ (ix1) = ew_u.parts.lsw; \
+} while (0)
+
+/* Get the more significant 32 bit int from a double. */
+
+#define GET_HIGH_WORD(i,d) \
+do { \
+ ieee_double_shape_type gh_u; \
+ gh_u.value = (d); \
+ (i) = gh_u.parts.msw; \
+} while (0)
+
+/* Get the less significant 32 bit int from a double. */
+
+#define GET_LOW_WORD(i,d) \
+do { \
+ ieee_double_shape_type gl_u; \
+ gl_u.value = (d); \
+ (i) = gl_u.parts.lsw; \
+} while (0)
+
+/* Set a double from two 32 bit ints. */
+
+#define INSERT_WORDS(d,ix0,ix1) \
+do { \
+ ieee_double_shape_type iw_u; \
+ iw_u.parts.msw = (ix0); \
+ iw_u.parts.lsw = (ix1); \
+ (d) = iw_u.value; \
+} while (0)
+
+/* Set the more significant 32 bits of a double from an int. */
+
+#define SET_HIGH_WORD(d,v) \
+do { \
+ ieee_double_shape_type sh_u; \
+ sh_u.value = (d); \
+ sh_u.parts.msw = (v); \
+ (d) = sh_u.value; \
+} while (0)
+
+/* Set the less significant 32 bits of a double from an int. */
+
+#define SET_LOW_WORD(d,v) \
+do { \
+ ieee_double_shape_type sl_u; \
+ sl_u.value = (d); \
+ sl_u.parts.lsw = (v); \
+ (d) = sl_u.value; \
+} while (0)
+
+/* A union which permits us to convert between a float and a 32 bit
+ int. */
+
+typedef union
+{
+ float value;
+ u_int32_t word;
+} ieee_float_shape_type;
+
+/* Get a 32 bit int from a float. */
+
+#define GET_FLOAT_WORD(i,d) \
+do { \
+ ieee_float_shape_type gf_u; \
+ gf_u.value = (d); \
+ (i) = gf_u.word; \
+} while (0)
+
+/* Set a float from a 32 bit int. */
+
+#define SET_FLOAT_WORD(d,i) \
+do { \
+ ieee_float_shape_type sf_u; \
+ sf_u.word = (i); \
+ (d) = sf_u.value; \
+} while (0)
+
+/* ieee style elementary functions */
+extern double __ieee754_sqrt __P((double));
+extern double __ieee754_acos __P((double));
+extern double __ieee754_acosh __P((double));
+extern double __ieee754_log __P((double));
+extern double __ieee754_atanh __P((double));
+extern double __ieee754_asin __P((double));
+extern double __ieee754_atan2 __P((double,double));
+extern double __ieee754_exp __P((double));
+extern double __ieee754_cosh __P((double));
+extern double __ieee754_fmod __P((double,double));
+extern double __ieee754_pow __P((double,double));
+extern double __ieee754_lgamma_r __P((double,int *));
+extern double __ieee754_gamma_r __P((double,int *));
+extern double __ieee754_lgamma __P((double));
+extern double __ieee754_gamma __P((double));
+extern double __ieee754_log10 __P((double));
+extern double __ieee754_sinh __P((double));
+extern double __ieee754_hypot __P((double,double));
+extern double __ieee754_j0 __P((double));
+extern double __ieee754_j1 __P((double));
+extern double __ieee754_y0 __P((double));
+extern double __ieee754_y1 __P((double));
+extern double __ieee754_jn __P((int,double));
+extern double __ieee754_yn __P((int,double));
+extern double __ieee754_remainder __P((double,double));
+extern int __ieee754_rem_pio2 __P((double,double*));
+extern double __ieee754_scalb __P((double,double));
+
+/* fdlibm kernel function */
+extern double __kernel_standard __P((double,double,int));
+extern double __kernel_sin __P((double,double,int));
+extern double __kernel_cos __P((double,double));
+extern double __kernel_tan __P((double,double,int));
+extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*));
+
+
+/* ieee style elementary float functions */
+extern float __ieee754_sqrtf __P((float));
+extern float __ieee754_acosf __P((float));
+extern float __ieee754_acoshf __P((float));
+extern float __ieee754_logf __P((float));
+extern float __ieee754_atanhf __P((float));
+extern float __ieee754_asinf __P((float));
+extern float __ieee754_atan2f __P((float,float));
+extern float __ieee754_expf __P((float));
+extern float __ieee754_coshf __P((float));
+extern float __ieee754_fmodf __P((float,float));
+extern float __ieee754_powf __P((float,float));
+extern float __ieee754_lgammaf_r __P((float,int *));
+extern float __ieee754_gammaf_r __P((float,int *));
+extern float __ieee754_lgammaf __P((float));
+extern float __ieee754_gammaf __P((float));
+extern float __ieee754_log10f __P((float));
+extern float __ieee754_sinhf __P((float));
+extern float __ieee754_hypotf __P((float,float));
+extern float __ieee754_j0f __P((float));
+extern float __ieee754_j1f __P((float));
+extern float __ieee754_y0f __P((float));
+extern float __ieee754_y1f __P((float));
+extern float __ieee754_jnf __P((int,float));
+extern float __ieee754_ynf __P((int,float));
+extern float __ieee754_remainderf __P((float,float));
+extern int __ieee754_rem_pio2f __P((float,float*));
+extern float __ieee754_scalbf __P((float,float));
+
+/* float versions of fdlibm kernel functions */
+extern float __kernel_sinf __P((float,float,int));
+extern float __kernel_cosf __P((float,float));
+extern float __kernel_tanf __P((float,float,int));
+extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*));
+
+#endif /* _MATH_PRIVATE_H_ */
diff --git a/math/mathcalls.h b/math/mathcalls.h
new file mode 100644
index 0000000..656352e
--- /dev/null
+++ b/math/mathcalls.h
@@ -0,0 +1,232 @@
+/* Prototype declarations for math functions; helper file for <math.h>.
+Copyright (C) 1996 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., 675 Mass Ave,
+Cambridge, MA 02139, USA. */
+
+/* NOTE: Because of the special way this file is used by <math.h>, this
+ file must NOT be protected from multiple inclusion as header files
+ usually are.
+
+ This file provides prototype declarations for the math functions.
+ Most functions are declared using the macro:
+
+ __MATHCALL (NAME,[_r], (ARGS...));
+
+ This means there is a function `NAME' returning `double' and a function
+ `NAMEf' returning `float'. Each place `_Mdouble_' appears in the
+ prototype, that is actually `double' in the prototype for `NAME' and
+ `float' in the prototype for `NAMEf'. Reentrant variant functions are
+ called `NAME_r' and `NAMEf_r'.
+
+ Functions returning other types like `int' are declared using the macro:
+
+ __MATHDECL (TYPE, NAME,[_r], (ARGS...));
+
+ This is just like __MATHCALL but for a function returning `TYPE'
+ instead of `_Mdouble_'. In all of these cases, there is still
+ both a `NAME' and a `NAMEf' that takes `float' arguments. */
+
+#ifndef _MATH_H
+ #error "Never include mathcalls.h directly; include <math.h> instead."
+#endif
+
+
+/* Trigonometric functions. */
+
+/* Arc cosine of X. */
+__MATHCALL (acos,, (_Mdouble_ __x));
+/* Arc sine of X. */
+__MATHCALL (asin,, (_Mdouble_ __x));
+/* Arc tangent of X. */
+__MATHCALL (atan,, (_Mdouble_ __x));
+/* Arc tangent of Y/X. */
+__MATHCALL (atan2,, (_Mdouble_ __y, _Mdouble_ __x));
+
+/* Cosine of X. */
+__MATHCALL (cos,, (_Mdouble_ __x));
+/* Sine of X. */
+__MATHCALL (sin,, (_Mdouble_ __x));
+/* Tangent of X. */
+__MATHCALL (tan,, (_Mdouble_ __x));
+
+
+/* Hyperbolic functions. */
+
+/* Hyperbolic cosine of X. */
+__MATHCALL (cosh,, (_Mdouble_ __x));
+/* Hyperbolic sine of X. */
+__MATHCALL (sinh,, (_Mdouble_ __x));
+/* Hyperbolic tangent of X. */
+__MATHCALL (tanh,, (_Mdouble_ __x));
+
+#ifdef __USE_MISC
+/* Hyperbolic arc cosine of X. */
+__MATHCALL (acosh,, (_Mdouble_ __x));
+/* Hyperbolic arc sine of X. */
+__MATHCALL (asinh,, (_Mdouble_ __x));
+/* Hyperbolic arc tangent of X. */
+__MATHCALL (atanh,, (_Mdouble_ __x));
+#endif
+
+/* Exponential and logarithmic functions. */
+
+/* Exponentional function of X. */
+__MATHCALL (exp,, (_Mdouble_ __x));
+
+/* Break VALUE into a normalized fraction and an integral power of 2. */
+__MATHCALL (frexp,, (_Mdouble_ __value, int *__exp));
+
+/* X times (two to the EXP power). */
+__MATHCALL (ldexp,, (_Mdouble_ __x, int __exp));
+
+/* Natural logarithm of X. */
+__MATHCALL (log,, (_Mdouble_ __x));
+
+/* Base-ten logarithm of X. */
+__MATHCALL (log10,, (_Mdouble_ __x));
+
+#ifdef __USE_MISC
+/* Return exp(X) - 1. */
+__MATHCALL (expm1,, (_Mdouble_ __x));
+
+/* Return log(1 + X). */
+__MATHCALL (log1p,, (_Mdouble_ __x));
+#endif
+
+/* Break VALUE into integral and fractional parts. */
+__MATHCALL (modf,, (_Mdouble_ __value, _Mdouble_ *__iptr));
+
+
+/* Power functions. */
+
+/* Return X to the Y power. */
+__MATHCALL (pow,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return the square root of X. */
+__MATHCALL (sqrt,, (_Mdouble_ __x));
+
+#ifdef __USE_MISC
+/* Return the cube root of X. */
+__MATHCALL (cbrt,, (_Mdouble_ __x));
+#endif
+
+
+/* Nearest integer, absolute value, and remainder functions. */
+
+/* Smallest integral value not less than X. */
+__MATHCALL (ceil,, (_Mdouble_ __x));
+
+/* Absolute value of X. */
+__MATHCALL (fabs,, (_Mdouble_ __x));
+
+/* Largest integer not greater than X. */
+__MATHCALL (floor,, (_Mdouble_ __x));
+
+/* Floating-point modulo remainder of X/Y. */
+__MATHCALL (fmod,, (_Mdouble_ __x, _Mdouble_ __y));
+
+
+#ifdef __USE_MISC
+
+/* Return 0 if VALUE is finite or NaN, +1 if it
+ is +Infinity, -1 if it is -Infinity. */
+__MATHDECL (int, isinf,, (_Mdouble_ __value));
+
+/* Return nonzero if VALUE is not a number. */
+__MATHDECL (int, isnan,, (_Mdouble_ __value));
+
+/* Return nonzero if VALUE is finite and not NaN. */
+__MATHDECL (int, finite,, (_Mdouble_ __value));
+
+/* Deal with an infinite or NaN result.
+ If ERROR is ERANGE, result is +Inf;
+ if ERROR is - ERANGE, result is -Inf;
+ otherwise result is NaN.
+ This will set `errno' to either ERANGE or EDOM,
+ and may return an infinity or NaN, or may do something else. */
+__MATHCALL (infnan,, (int __error));
+
+/* Return X with its signed changed to Y's. */
+__MATHCALL (copysign,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return X times (2 to the Nth power). */
+__MATHCALL (scalb,, (_Mdouble_ __x, _Mdouble_ __n));
+
+/* Return X times (2 to the Nth power). */
+__MATHCALL (scalbn,, (_Mdouble_ __x, int __n));
+
+/* Return the remainder of X/Y. */
+__MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return the base 2 signed integral exponent of X. */
+__MATHCALL (logb,, (_Mdouble_ __x));
+
+/* Return the integer nearest X in the direction of the
+ prevailing rounding mode. */
+__MATHCALL (rint,, (_Mdouble_ __x));
+
+/* Return `sqrt(X*X + Y*Y)'. */
+__MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y));
+
+struct __MATH_PRECNAME(__cabs_complex,)
+{
+ _Mdouble_ x, y;
+};
+
+/* Return `sqrt(X*X + Y*Y)'. */
+__MATHCALL (cabs,, (struct __MATH_PRECNAME(__cabs_complex,)));
+
+
+/* Return X + epsilon if X < Y, X - epsilon if X > Y. */
+__MATHCALL (nextafter,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return the remainder of integer divison X / Y with infinite precision. */
+__MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y));
+
+/* Return the binary exponent of X, which must be nonzero. */
+__MATHDECL (int, ilogb,, (_Mdouble_ __x));
+
+/* Return the fractional part of X after dividing out `ilogb (X)'. */
+__MATHCALL (significand,, (_Mdouble_ __x));
+
+
+
+/* Error, gamma, and Bessel functions. */
+__MATHCALL (erf,, (_Mdouble_));
+__MATHCALL (erfc,, (_Mdouble_));
+__MATHCALL (gamma,, (_Mdouble_));
+__MATHCALL (j0,, (_Mdouble_));
+__MATHCALL (j1,, (_Mdouble_));
+__MATHCALL (jn,, (int, _Mdouble_));
+__MATHCALL (lgamma,, (_Mdouble_));
+__MATHCALL (y0,, (_Mdouble_));
+__MATHCALL (y1,, (_Mdouble_));
+__MATHCALL (yn,, (int, _Mdouble_));
+
+/* This variable is used by `gamma' and `lgamma'. */
+extern int signgam;
+
+#ifdef __USE_REENTRANT
+
+/* Reentrant versions of gamma and lgamma. Those functions use the global
+ variable `signgam'. The reentrant versions instead take a pointer and
+ store the value through it. */
+__MATHCALL (gamma,_r, (_Mdouble_, int *));
+__MATHCALL (lgamma,_r, (_Mdouble_, int *));
+#endif
+
+#endif /* Use misc. */
diff --git a/mathcalls.h b/mathcalls.h
new file mode 100644
index 0000000..20e0854
--- /dev/null
+++ b/mathcalls.h
@@ -0,0 +1 @@
+#include <math/mathcalls.h>
diff --git a/sysdeps/generic/Makefile b/sysdeps/generic/Makefile
index 5e1032a..f363f1c 100644
--- a/sysdeps/generic/Makefile
+++ b/sysdeps/generic/Makefile
@@ -16,18 +16,6 @@
# not, write to the Free Software Foundation, Inc., 675 Mass Ave,
# Cambridge, MA 02139, USA.
-ifeq ($(subdir),math)
-ifndef math-twiddled
-
-sysdep_routines += sincos asincos exp__E log__L
-elided-routines += acos asin cos sin
-
-math-twiddled := t
-override +gccwarn := -w
-endif
-
-endif
-
ifeq (,$(filter-out $(sysdep_dir)/stub/ $(common-objpfx),\
$(dir $(firstword $(wildcard $(+sysdep_dirs:%=%/bytesex.h))))))
diff --git a/sysdeps/i386/fpu/Implies b/sysdeps/i386/fpu/Implies
new file mode 100644
index 0000000..de9b0b2
--- /dev/null
+++ b/sysdeps/i386/fpu/Implies
@@ -0,0 +1,2 @@
+# For x86 machines with FPU, use the i387 port of libm by JT Conklin.
+libm-i387
diff --git a/sysdeps/ieee754/Implies b/sysdeps/ieee754/Implies
new file mode 100644
index 0000000..5c9e98b
--- /dev/null
+++ b/sysdeps/ieee754/Implies
@@ -0,0 +1,2 @@
+# For all IEEE machines, use Sun's fdlibm code.
+libm-ieee754
diff --git a/sysdeps/libm-i387/e_acos.S b/sysdeps/libm-i387/e_acos.S
new file mode 100644
index 0000000..6ec7785
--- /dev/null
+++ b/sysdeps/libm-i387/e_acos.S
@@ -0,0 +1,20 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_acos.S,v 1.4 1995/05/08 23:44:37 jtc Exp $")
+
+/* acos = atan (sqrt(1 - x^2) / x) */
+ENTRY(__ieee754_acos)
+ fldl 4(%esp) /* x */
+ fst %st(1)
+ fmul %st(0) /* x^2 */
+ fld1
+ fsubp /* 1 - x^2 */
+ fsqrt /* sqrt (1 - x^2) */
+ fxch %st(1)
+ fpatan
+ ret
diff --git a/sysdeps/libm-i387/e_asin.S b/sysdeps/libm-i387/e_asin.S
new file mode 100644
index 0000000..dfcd7bc
--- /dev/null
+++ b/sysdeps/libm-i387/e_asin.S
@@ -0,0 +1,19 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_asin.S,v 1.4 1995/05/08 23:45:40 jtc Exp $")
+
+/* asin = atan (x / sqrt(1 - x^2)) */
+ENTRY(__ieee754_asin)
+ fldl 4(%esp) /* x */
+ fst %st(1)
+ fmul %st(0) /* x^2 */
+ fld1
+ fsubp /* 1 - x^2 */
+ fsqrt /* sqrt (1 - x^2) */
+ fpatan
+ ret
diff --git a/sysdeps/libm-i387/e_atan2.S b/sysdeps/libm-i387/e_atan2.S
new file mode 100644
index 0000000..da2e119
--- /dev/null
+++ b/sysdeps/libm-i387/e_atan2.S
@@ -0,0 +1,14 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_atan2.S,v 1.4 1995/05/08 23:46:28 jtc Exp $")
+
+ENTRY(__ieee754_atan2)
+ fldl 4(%esp)
+ fldl 12(%esp)
+ fpatan
+ ret
diff --git a/sysdeps/libm-i387/e_atan2f.S b/sysdeps/libm-i387/e_atan2f.S
new file mode 100644
index 0000000..21fc0d9
--- /dev/null
+++ b/sysdeps/libm-i387/e_atan2f.S
@@ -0,0 +1,14 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_atan2f.S,v 1.1 1995/05/08 23:35:10 jtc Exp $")
+
+ENTRY(__ieee754_atan2f)
+ flds 4(%esp)
+ flds 8(%esp)
+ fpatan
+ ret
diff --git a/sysdeps/libm-i387/e_exp.S b/sysdeps/libm-i387/e_exp.S
new file mode 100644
index 0000000..8c41ce0
--- /dev/null
+++ b/sysdeps/libm-i387/e_exp.S
@@ -0,0 +1,23 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_exp.S,v 1.4 1995/05/08 23:47:04 jtc Exp $")
+
+/* e^x = 2^(x * log2(e)) */
+ENTRY(__ieee754_exp)
+ fldl 4(%esp)
+ fldl2e
+ fmulp /* x * log2(e) */
+ fstl %st(1)
+ frndint /* int(x * log2(e)) */
+ fstl %st(2)
+ fsubrp /* fract(x * log2(e)) */
+ f2xm1 /* 2^(fract(x * log2(e))) - 1 */
+ fld1
+ faddp /* 2^(fract(x * log2(e))) */
+ fscale /* e^x */
+ ret
diff --git a/sysdeps/libm-i387/e_fmod.S b/sysdeps/libm-i387/e_fmod.S
new file mode 100644
index 0000000..c02df44
--- /dev/null
+++ b/sysdeps/libm-i387/e_fmod.S
@@ -0,0 +1,18 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_fmod.S,v 1.4 1995/05/08 23:47:56 jtc Exp $")
+
+ENTRY(__ieee754_fmod)
+ fldl 12(%esp)
+ fldl 4(%esp)
+1: fprem
+ fstsw %ax
+ sahf
+ jp 1b
+ fstpl %st(1)
+ ret
diff --git a/sysdeps/libm-i387/e_log.S b/sysdeps/libm-i387/e_log.S
new file mode 100644
index 0000000..98d569e
--- /dev/null
+++ b/sysdeps/libm-i387/e_log.S
@@ -0,0 +1,14 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_log.S,v 1.4 1995/05/08 23:48:39 jtc Exp $")
+
+ENTRY(__ieee754_log)
+ fldln2
+ fldl 4(%esp)
+ fyl2x
+ ret
diff --git a/sysdeps/libm-i387/e_log10.S b/sysdeps/libm-i387/e_log10.S
new file mode 100644
index 0000000..612344b
--- /dev/null
+++ b/sysdeps/libm-i387/e_log10.S
@@ -0,0 +1,14 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_log10.S,v 1.4 1995/05/08 23:49:24 jtc Exp $")
+
+ENTRY(__ieee754_log10)
+ fldlg2
+ fldl 4(%esp)
+ fyl2x
+ ret
diff --git a/sysdeps/libm-i387/e_remainder.S b/sysdeps/libm-i387/e_remainder.S
new file mode 100644
index 0000000..d14f2e8
--- /dev/null
+++ b/sysdeps/libm-i387/e_remainder.S
@@ -0,0 +1,18 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_remainder.S,v 1.4 1995/05/08 23:49:37 jtc Exp $")
+
+ENTRY(__ieee754_remainder)
+ fldl 12(%esp)
+ fldl 4(%esp)
+1: fprem1
+ fstsw %ax
+ sahf
+ jp 1b
+ fstpl %st(1)
+ ret
diff --git a/sysdeps/libm-i387/e_remainderf.S b/sysdeps/libm-i387/e_remainderf.S
new file mode 100644
index 0000000..ed578ea
--- /dev/null
+++ b/sysdeps/libm-i387/e_remainderf.S
@@ -0,0 +1,18 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_remainderf.S,v 1.2 1995/05/08 23:49:47 jtc Exp $")
+
+ENTRY(__ieee754_remainderf)
+ flds 8(%esp)
+ flds 4(%esp)
+1: fprem1
+ fstsw %ax
+ sahf
+ jp 1b
+ fstpl %st(1)
+ ret
diff --git a/sysdeps/libm-i387/e_scalb.S b/sysdeps/libm-i387/e_scalb.S
new file mode 100644
index 0000000..7d95f8e
--- /dev/null
+++ b/sysdeps/libm-i387/e_scalb.S
@@ -0,0 +1,14 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_scalb.S,v 1.4 1995/05/08 23:49:52 jtc Exp $")
+
+ENTRY(__ieee754_scalb)
+ fldl 12(%esp)
+ fldl 4(%esp)
+ fscale
+ ret
diff --git a/sysdeps/libm-i387/e_sqrt.S b/sysdeps/libm-i387/e_sqrt.S
new file mode 100644
index 0000000..34fe9b7
--- /dev/null
+++ b/sysdeps/libm-i387/e_sqrt.S
@@ -0,0 +1,13 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_sqrt.S,v 1.4 1995/05/08 23:49:57 jtc Exp $")
+
+ENTRY(__ieee754_sqrt)
+ fldl 4(%esp)
+ fsqrt
+ ret
diff --git a/sysdeps/libm-i387/e_sqrtf.S b/sysdeps/libm-i387/e_sqrtf.S
new file mode 100644
index 0000000..d20c4c1
--- /dev/null
+++ b/sysdeps/libm-i387/e_sqrtf.S
@@ -0,0 +1,13 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: e_sqrtf.S,v 1.2 1995/05/08 23:50:14 jtc Exp $")
+
+ENTRY(__ieee754_sqrtf)
+ flds 4(%esp)
+ fsqrt
+ ret
diff --git a/sysdeps/libm-i387/s_atan.S b/sysdeps/libm-i387/s_atan.S
new file mode 100644
index 0000000..4dcd54f
--- /dev/null
+++ b/sysdeps/libm-i387/s_atan.S
@@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_atan.S,v 1.4 1995/05/08 23:50:41 jtc Exp $")
+
+ENTRY(__atan)
+ fldl 4(%esp)
+ fld1
+ fpatan
+ ret
+weak_alias (__atan, atan)
diff --git a/sysdeps/libm-i387/s_atanf.S b/sysdeps/libm-i387/s_atanf.S
new file mode 100644
index 0000000..d00593d
--- /dev/null
+++ b/sysdeps/libm-i387/s_atanf.S
@@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_atanf.S,v 1.3 1995/05/08 23:51:33 jtc Exp $")
+
+ENTRY(__atanf)
+ flds 4(%esp)
+ fld1
+ fpatan
+ ret
+weak_alias (__atanf, atanf)
diff --git a/sysdeps/libm-i387/s_ceil.S b/sysdeps/libm-i387/s_ceil.S
new file mode 100644
index 0000000..2fd813d
--- /dev/null
+++ b/sysdeps/libm-i387/s_ceil.S
@@ -0,0 +1,29 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_ceil.S,v 1.4 1995/05/08 23:52:13 jtc Exp $")
+
+ENTRY(__ceil)
+ pushl %ebp
+ movl %esp,%ebp
+ subl $8,%esp
+
+ fstcw -12(%ebp) /* store fpu control word */
+ movw -12(%ebp),%dx
+ orw $0x0800,%dx /* round towards +oo */
+ andw $0xfbff,%dx
+ movw %dx,-16(%ebp)
+ fldcw -16(%ebp) /* load modfied control word */
+
+ fldl 8(%ebp); /* round */
+ frndint
+
+ fldcw -12(%ebp) /* restore original control word */
+
+ leave
+ ret
+weak_alias (__ceil, ceil)
diff --git a/sysdeps/libm-i387/s_ceilf.S b/sysdeps/libm-i387/s_ceilf.S
new file mode 100644
index 0000000..6458b45
--- /dev/null
+++ b/sysdeps/libm-i387/s_ceilf.S
@@ -0,0 +1,29 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_ceilf.S,v 1.3 1995/05/08 23:52:44 jtc Exp $")
+
+ENTRY(__ceilf)
+ pushl %ebp
+ movl %esp,%ebp
+ subl $8,%esp
+
+ fstcw -12(%ebp) /* store fpu control word */
+ movw -12(%ebp),%dx
+ orw $0x0800,%dx /* round towards +oo */
+ andw $0xfbff,%dx
+ movw %dx,-16(%ebp)
+ fldcw -16(%ebp) /* load modfied control word */
+
+ flds 8(%ebp); /* round */
+ frndint
+
+ fldcw -12(%ebp) /* restore original control word */
+
+ leave
+ ret
+weak_alias (__ceilf, ceilf)
diff --git a/sysdeps/libm-i387/s_copysign.S b/sysdeps/libm-i387/s_copysign.S
new file mode 100644
index 0000000..0de3aff
--- /dev/null
+++ b/sysdeps/libm-i387/s_copysign.S
@@ -0,0 +1,19 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_copysign.S,v 1.4 1995/05/08 23:53:02 jtc Exp $")
+
+ENTRY(__copysign)
+ movl 16(%esp),%edx
+ andl $0x80000000,%edx
+ movl 8(%esp),%eax
+ andl $0x7fffffff,%eax
+ orl %edx,%eax
+ movl %eax,8(%esp)
+ fldl 4(%esp)
+ ret
+weak_alias (__copysign, copysign)
diff --git a/sysdeps/libm-i387/s_copysignf.S b/sysdeps/libm-i387/s_copysignf.S
new file mode 100644
index 0000000..a55cd37
--- /dev/null
+++ b/sysdeps/libm-i387/s_copysignf.S
@@ -0,0 +1,19 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_copysignf.S,v 1.3 1995/05/08 23:53:25 jtc Exp $")
+
+ENTRY(__copysignf)
+ movl 8(%esp),%edx
+ andl $0x80000000,%edx
+ movl 4(%esp),%eax
+ andl $0x7fffffff,%eax
+ orl %edx,%eax
+ movl %eax,4(%esp)
+ flds 4(%esp)
+ ret
+weak_alias (__copysignf, copysignf)
diff --git a/sysdeps/libm-i387/s_cos.S b/sysdeps/libm-i387/s_cos.S
new file mode 100644
index 0000000..0ccf8bc
--- /dev/null
+++ b/sysdeps/libm-i387/s_cos.S
@@ -0,0 +1,27 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_cos.S,v 1.5 1995/05/08 23:54:00 jtc Exp $")
+
+ENTRY(__cos)
+ fldl 4(%esp)
+ fcos
+ fnstsw %ax
+ andw $0x400,%ax
+ jnz 1f
+ ret
+1: fldpi
+ fadd %st(0)
+ fxch %st(1)
+2: fprem1
+ fnstsw %ax
+ andw $0x400,%ax
+ jnz 2b
+ fstp %st(1)
+ fcos
+ ret
+weak_alias (__cos, cos)
diff --git a/sysdeps/libm-i387/s_cosf.S b/sysdeps/libm-i387/s_cosf.S
new file mode 100644
index 0000000..a200e04
--- /dev/null
+++ b/sysdeps/libm-i387/s_cosf.S
@@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_cosf.S,v 1.3 1995/05/08 23:55:16 jtc Exp $")
+
+/* A float's domain isn't large enough to require argument reduction. */
+ENTRY(__cosf)
+ flds 4(%esp)
+ fcos
+ ret
+weak_alias (__cosf, cosf)
diff --git a/sysdeps/libm-i387/s_finite.S b/sysdeps/libm-i387/s_finite.S
new file mode 100644
index 0000000..a65aa6a
--- /dev/null
+++ b/sysdeps/libm-i387/s_finite.S
@@ -0,0 +1,17 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_finite.S,v 1.4 1995/05/08 23:57:41 jtc Exp $")
+
+ENTRY(__finite)
+ movl 8(%esp),%eax
+ andl $0x7ff00000, %eax
+ cmpl $0x7ff00000, %eax
+ setnel %al
+ andl $0x000000ff, %eax
+ ret
+weak_alias (__finite, finite)
diff --git a/sysdeps/libm-i387/s_finitef.S b/sysdeps/libm-i387/s_finitef.S
new file mode 100644
index 0000000..f842d46
--- /dev/null
+++ b/sysdeps/libm-i387/s_finitef.S
@@ -0,0 +1,17 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_finitef.S,v 1.3 1995/05/09 00:00:02 jtc Exp $")
+
+ENTRY(__finitef)
+ movl 4(%esp),%eax
+ andl $0x7ff00000, %eax
+ cmpl $0x7ff00000, %eax
+ setnel %al
+ andl $0x000000ff, %eax
+ ret
+weak_alias (__finitef, finitef)
diff --git a/sysdeps/libm-i387/s_floor.S b/sysdeps/libm-i387/s_floor.S
new file mode 100644
index 0000000..33d5dbc
--- /dev/null
+++ b/sysdeps/libm-i387/s_floor.S
@@ -0,0 +1,29 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_floor.S,v 1.4 1995/05/09 00:01:59 jtc Exp $")
+
+ENTRY(__floor)
+ pushl %ebp
+ movl %esp,%ebp
+ subl $8,%esp
+
+ fstcw -12(%ebp) /* store fpu control word */
+ movw -12(%ebp),%dx
+ orw $0x0400,%dx /* round towards -oo */
+ andw $0xf7ff,%dx
+ movw %dx,-16(%ebp)
+ fldcw -16(%ebp) /* load modfied control word */
+
+ fldl 8(%ebp); /* round */
+ frndint
+
+ fldcw -12(%ebp) /* restore original control word */
+
+ leave
+ ret
+weak_alias (__floor, floor)
diff --git a/sysdeps/libm-i387/s_floorf.S b/sysdeps/libm-i387/s_floorf.S
new file mode 100644
index 0000000..dd290fa
--- /dev/null
+++ b/sysdeps/libm-i387/s_floorf.S
@@ -0,0 +1,29 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_floorf.S,v 1.3 1995/05/09 00:04:32 jtc Exp $")
+
+ENTRY(__floorf)
+ pushl %ebp
+ movl %esp,%ebp
+ subl $8,%esp
+
+ fstcw -12(%ebp) /* store fpu control word */
+ movw -12(%ebp),%dx
+ orw $0x0400,%dx /* round towards -oo */
+ andw $0xf7ff,%dx
+ movw %dx,-16(%ebp)
+ fldcw -16(%ebp) /* load modfied control word */
+
+ flds 8(%ebp); /* round */
+ frndint
+
+ fldcw -12(%ebp) /* restore original control word */
+
+ leave
+ ret
+weak_alias (__floorf, floorf)
diff --git a/sysdeps/libm-i387/s_ilogb.S b/sysdeps/libm-i387/s_ilogb.S
new file mode 100644
index 0000000..f11ed58
--- /dev/null
+++ b/sysdeps/libm-i387/s_ilogb.S
@@ -0,0 +1,24 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_ilogb.S,v 1.5 1995/10/12 15:53:09 jtc Exp $")
+
+ENTRY(__ilogb)
+ pushl %ebp
+ movl %esp,%ebp
+ subl $4,%esp
+
+ fldl 8(%ebp)
+ fxtract
+ fstpl %st
+
+ fistpl -4(%ebp)
+ movl -4(%ebp),%eax
+
+ leave
+ ret
+weak_alias (__ilogb, ilogb)
diff --git a/sysdeps/libm-i387/s_ilogbf.S b/sysdeps/libm-i387/s_ilogbf.S
new file mode 100644
index 0000000..5a61d28
--- /dev/null
+++ b/sysdeps/libm-i387/s_ilogbf.S
@@ -0,0 +1,24 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_ilogbf.S,v 1.4 1995/10/22 20:32:43 pk Exp $")
+
+ENTRY(__ilogbf)
+ pushl %ebp
+ movl %esp,%ebp
+ subl $4,%esp
+
+ flds 8(%ebp)
+ fxtract
+ fstpl %st
+
+ fistpl -4(%ebp)
+ movl -4(%ebp),%eax
+
+ leave
+ ret
+weak_alias (__ilogbf, ilogbf)
diff --git a/sysdeps/libm-i387/s_log1p.S b/sysdeps/libm-i387/s_log1p.S
new file mode 100644
index 0000000..c4aee4a
--- /dev/null
+++ b/sysdeps/libm-i387/s_log1p.S
@@ -0,0 +1,23 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_log1p.S,v 1.7 1995/05/09 00:10:58 jtc Exp $")
+
+/*
+ * Since the fyl2xp1 instruction has such a limited range:
+ * -(1 - (sqrt(2) / 2)) <= x <= sqrt(2) - 1
+ * it's not worth trying to use it.
+ */
+
+ENTRY(__log1p)
+ fldln2
+ fldl 4(%esp)
+ fld1
+ faddp
+ fyl2x
+ ret
+weak_alias (__log1p, log1p)
diff --git a/sysdeps/libm-i387/s_log1pf.S b/sysdeps/libm-i387/s_log1pf.S
new file mode 100644
index 0000000..e268550
--- /dev/null
+++ b/sysdeps/libm-i387/s_log1pf.S
@@ -0,0 +1,23 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_log1pf.S,v 1.4 1995/05/09 00:13:05 jtc Exp $")
+
+/*
+ * Since the fyl2xp1 instruction has such a limited range:
+ * -(1 - (sqrt(2) / 2)) <= x <= sqrt(2) - 1
+ * it's not worth trying to use it.
+ */
+
+ENTRY(__log1pf)
+ fldln2
+ flds 4(%esp)
+ fld1
+ faddp
+ fyl2x
+ ret
+weak_alias (__log1pf, log1pf)
diff --git a/sysdeps/libm-i387/s_logb.S b/sysdeps/libm-i387/s_logb.S
new file mode 100644
index 0000000..4f071e0
--- /dev/null
+++ b/sysdeps/libm-i387/s_logb.S
@@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_logb.S,v 1.4 1995/05/09 00:14:30 jtc Exp $")
+
+ENTRY(__logb)
+ fldl 4(%esp)
+ fxtract
+ fstpl %st
+ ret
+weak_alias (__logb, logb)
diff --git a/sysdeps/libm-i387/s_logbf.S b/sysdeps/libm-i387/s_logbf.S
new file mode 100644
index 0000000..ecdd0ae
--- /dev/null
+++ b/sysdeps/libm-i387/s_logbf.S
@@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_logbf.S,v 1.3 1995/05/09 00:15:12 jtc Exp $")
+
+ENTRY(__logbf)
+ flds 4(%esp)
+ fxtract
+ fstpl %st
+ ret
+weak_alias (__logbf, logbf)
diff --git a/sysdeps/libm-i387/s_rint.S b/sysdeps/libm-i387/s_rint.S
new file mode 100644
index 0000000..2f09a47
--- /dev/null
+++ b/sysdeps/libm-i387/s_rint.S
@@ -0,0 +1,14 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_rint.S,v 1.4 1995/05/09 00:16:08 jtc Exp $")
+
+ENTRY(__rint)
+ fldl 4(%esp)
+ frndint
+ ret
+weak_alias (__rint, rint)
diff --git a/sysdeps/libm-i387/s_rintf.S b/sysdeps/libm-i387/s_rintf.S
new file mode 100644
index 0000000..de64d79
--- /dev/null
+++ b/sysdeps/libm-i387/s_rintf.S
@@ -0,0 +1,14 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_rintf.S,v 1.3 1995/05/09 00:17:22 jtc Exp $")
+
+ENTRY(__rintf)
+ flds 4(%esp)
+ frndint
+ ret
+weak_alias (__rintf, rintf)
diff --git a/sysdeps/libm-i387/s_scalbn.S b/sysdeps/libm-i387/s_scalbn.S
new file mode 100644
index 0000000..99ecac6
--- /dev/null
+++ b/sysdeps/libm-i387/s_scalbn.S
@@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_scalbn.S,v 1.4 1995/05/09 00:19:06 jtc Exp $")
+
+ENTRY(__scalbn)
+ fildl 12(%esp)
+ fldl 4(%esp)
+ fscale
+ ret
+weak_alias (__scalbn, scalbn)
diff --git a/sysdeps/libm-i387/s_scalbnf.S b/sysdeps/libm-i387/s_scalbnf.S
new file mode 100644
index 0000000..0203e91
--- /dev/null
+++ b/sysdeps/libm-i387/s_scalbnf.S
@@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_scalbnf.S,v 1.3 1995/05/09 00:19:59 jtc Exp $")
+
+ENTRY(__scalbnf)
+ fildl 8(%esp)
+ flds 4(%esp)
+ fscale
+ ret
+weak_alias (__scalbnf, scalbnf)
diff --git a/sysdeps/libm-i387/s_significand.S b/sysdeps/libm-i387/s_significand.S
new file mode 100644
index 0000000..09f3a0a
--- /dev/null
+++ b/sysdeps/libm-i387/s_significand.S
@@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_significand.S,v 1.4 1995/05/09 00:21:47 jtc Exp $")
+
+ENTRY(__significand)
+ fldl 4(%esp)
+ fxtract
+ fstpl %st(1)
+ ret
+weak_alias (__significand, significand)
diff --git a/sysdeps/libm-i387/s_significandf.S b/sysdeps/libm-i387/s_significandf.S
new file mode 100644
index 0000000..b678bc5
--- /dev/null
+++ b/sysdeps/libm-i387/s_significandf.S
@@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_significandf.S,v 1.3 1995/05/09 00:24:07 jtc Exp $")
+
+ENTRY(__significandf)
+ flds 4(%esp)
+ fxtract
+ fstpl %st(1)
+ ret
+weak_alias (__significandf, significandf)
diff --git a/sysdeps/libm-i387/s_sin.S b/sysdeps/libm-i387/s_sin.S
new file mode 100644
index 0000000..7928495
--- /dev/null
+++ b/sysdeps/libm-i387/s_sin.S
@@ -0,0 +1,27 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_sin.S,v 1.5 1995/05/09 00:25:54 jtc Exp $")
+
+ENTRY(__sin)
+ fldl 4(%esp)
+ fsin
+ fnstsw %ax
+ andw $0x400,%ax
+ jnz 1f
+ ret
+1: fldpi
+ fadd %st(0)
+ fxch %st(1)
+2: fprem1
+ fnstsw %ax
+ andw $0x400,%ax
+ jnz 2b
+ fstp %st(1)
+ fsin
+ ret
+weak_alias (__sin, sin)
diff --git a/sysdeps/libm-i387/s_sinf.S b/sysdeps/libm-i387/s_sinf.S
new file mode 100644
index 0000000..03a42cb
--- /dev/null
+++ b/sysdeps/libm-i387/s_sinf.S
@@ -0,0 +1,15 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_sinf.S,v 1.3 1995/05/09 00:27:53 jtc Exp $")
+
+/* A float's domain isn't large enough to require argument reduction. */
+ENTRY(__sinf)
+ flds 4(%esp)
+ fsin
+ ret
+weak_alias (__sinf, sinf)
diff --git a/sysdeps/libm-i387/s_tan.S b/sysdeps/libm-i387/s_tan.S
new file mode 100644
index 0000000..9474c8c
--- /dev/null
+++ b/sysdeps/libm-i387/s_tan.S
@@ -0,0 +1,29 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_tan.S,v 1.5 1995/05/09 00:30:00 jtc Exp $")
+
+ENTRY(__tan)
+ fldl 4(%esp)
+ fptan
+ fnstsw %ax
+ andw $0x400,%ax
+ jnz 1f
+ fstp %st(0)
+ ret
+1: fldpi
+ fadd %st(0)
+ fxch %st(1)
+2: fprem1
+ fstsw %ax
+ andw $0x400,%ax
+ jnz 2b
+ fstp %st(1)
+ fptan
+ fstp %st(0)
+ ret
+weak_alias (__tan, tan)
diff --git a/sysdeps/libm-i387/s_tanf.S b/sysdeps/libm-i387/s_tanf.S
new file mode 100644
index 0000000..3296434
--- /dev/null
+++ b/sysdeps/libm-i387/s_tanf.S
@@ -0,0 +1,16 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#include <machine/asm.h>
+
+RCSID("$NetBSD: s_tanf.S,v 1.3 1995/05/09 00:31:09 jtc Exp $")
+
+/* A float's domain isn't large enough to require argument reduction. */
+ENTRY(__tanf)
+ flds 4(%esp)
+ fptan
+ fstp %st(0)
+ ret
+weak_alias (__tanf, tanf)
diff --git a/sysdeps/libm-ieee754/e_acos.c b/sysdeps/libm-ieee754/e_acos.c
new file mode 100644
index 0000000..78bdae9
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_acos.c
@@ -0,0 +1,111 @@
+/* @(#)e_acos.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one= 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
+pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
+pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */
+pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */
+pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */
+pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */
+pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */
+pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */
+pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */
+qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */
+qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
+qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
+qS4 = 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;
+ 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;
+ 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)*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_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);
+ 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 2.0*(df+w);
+ }
+}
diff --git a/sysdeps/libm-ieee754/e_acosf.c b/sysdeps/libm-ieee754/e_acosf.c
new file mode 100644
index 0000000..0d85c42
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/libm-ieee754/e_acosh.c b/sysdeps/libm-ieee754/e_acosh.c
new file mode 100644
index 0000000..27c29cd
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/libm-ieee754/e_acoshf.c b/sysdeps/libm-ieee754/e_acoshf.c
new file mode 100644
index 0000000..c607f72
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0,
+ln2 = 6.9314718246e-01; /* 0x3f317218 */
+
+#ifdef __STDC__
+ float __ieee754_acoshf(float x)
+#else
+ float __ieee754_acoshf(x)
+ float x;
+#endif
+{
+ float t;
+ int32_t hx;
+ GET_FLOAT_WORD(hx,x);
+ if(hx<0x3f800000) { /* x < 1 */
+ return (x-x)/(x-x);
+ } else if(hx >=0x4d800000) { /* x > 2**28 */
+ if(hx >=0x7f800000) { /* x is inf of NaN */
+ return x+x;
+ } else
+ return __ieee754_logf(x)+ln2; /* acosh(huge)=log(2x) */
+ } else if (hx==0x3f800000) {
+ return 0.0; /* acosh(1) = 0 */
+ } else if (hx > 0x40000000) { /* 2**28 > x > 2 */
+ t=x*x;
+ return __ieee754_logf((float)2.0*x-one/(x+__ieee754_sqrtf(t-one)));
+ } else { /* 1<x<2 */
+ t = x-one;
+ return __log1pf(t+__sqrtf((float)2.0*t+t*t));
+ }
+}
diff --git a/sysdeps/libm-ieee754/e_asin.c b/sysdeps/libm-ieee754/e_asin.c
new file mode 100644
index 0000000..b62a1c9
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_asin.c
@@ -0,0 +1,120 @@
+/* @(#)e_asin.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+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) */
+pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */
+pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */
+pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */
+pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */
+pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */
+pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */
+qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */
+qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
+qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
+qS4 = 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;
+ 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;
+ 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-fabs(x);
+ t = w*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_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/libm-ieee754/e_asinf.c b/sysdeps/libm-ieee754/e_asinf.c
new file mode 100644
index 0000000..21157d8
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_asinf.c
@@ -0,0 +1,92 @@
+/* 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/libm-ieee754/e_atan2.c b/sysdeps/libm-ieee754/e_atan2.c
new file mode 100644
index 0000000..920cfaf
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/libm-ieee754/e_atan2f.c b/sysdeps/libm-ieee754/e_atan2f.c
new file mode 100644
index 0000000..c1f8d22
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 = 3.1415925026e+00, /* 0x40490fda */
+pi_lo = 1.5099578832e-07; /* 0x34222168 */
+
+#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/libm-ieee754/e_atanh.c b/sysdeps/libm-ieee754/e_atanh.c
new file mode 100644
index 0000000..fa4fe67
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/libm-ieee754/e_atanhf.c b/sysdeps/libm-ieee754/e_atanhf.c
new file mode 100644
index 0000000..f26a15b
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0, huge = 1e30;
+#else
+static float one = 1.0, huge = 1e30;
+#endif
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_atanhf(float x)
+#else
+ float __ieee754_atanhf(x)
+ float x;
+#endif
+{
+ float t;
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if (ix>0x3f800000) /* |x|>1 */
+ return (x-x)/(x-x);
+ if(ix==0x3f800000)
+ return x/zero;
+ if(ix<0x31800000&&(huge+x)>zero) return x; /* x<2**-28 */
+ SET_FLOAT_WORD(x,ix);
+ if(ix<0x3f000000) { /* x < 0.5 */
+ t = x+x;
+ t = (float)0.5*__log1pf(t+t*x/(one-x));
+ } else
+ t = (float)0.5*__log1pf((x+x)/(one-x));
+ if(hx>=0) return t; else return -t;
+}
diff --git a/sysdeps/libm-ieee754/e_cosh.c b/sysdeps/libm-ieee754/e_cosh.c
new file mode 100644
index 0000000..4f6b524
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_cosh.c
@@ -0,0 +1,93 @@
+/* @(#)e_cosh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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/libm-ieee754/e_coshf.c b/sysdeps/libm-ieee754/e_coshf.c
new file mode 100644
index 0000000..e6f4ed6
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 1.5 1995/05/10 20:45:01 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const volatile float huge = 1.0e30;
+static const float one = 1.0, half=0.5;
+#else
+static float one = 1.0, half=0.5, huge = 1.0e30;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_coshf(float x)
+#else
+ float __ieee754_coshf(x)
+ float x;
+#endif
+{
+ float t,w;
+ int32_t ix;
+
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7f800000) return x*x;
+
+ /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
+ if(ix<0x3eb17218) {
+ t = __expm1f(fabsf(x));
+ w = one+t;
+ if (ix<0x24000000) return w; /* cosh(tiny) = 1 */
+ return one+(t*t)/(w+w);
+ }
+
+ /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
+ if (ix < 0x41b00000) {
+ t = __ieee754_expf(fabsf(x));
+ return half*t+half/t;
+ }
+
+ /* |x| in [22, log(maxdouble)] return half*exp(|x|) */
+ if (ix < 0x42b17180) return half*__ieee754_expf(fabsf(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ if (ix<=0x42b2d4fc) {
+ w = __ieee754_expf(half*fabsf(x));
+ t = half*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthresold, cosh(x) overflow */
+ return huge*huge;
+}
diff --git a/sysdeps/libm-ieee754/e_exp.c b/sysdeps/libm-ieee754/e_exp.c
new file mode 100644
index 0000000..9eba853
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_exp.c
@@ -0,0 +1,167 @@
+/* @(#)e_exp.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_exp.c,v 1.8 1995/05/10 20:45:03 jtc Exp $";
+#endif
+
+/* __ieee754_exp(x)
+ * Returns the exponential of x.
+ *
+ * Method
+ * 1. Argument reduction:
+ * Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658.
+ * Given x, find r and integer k such that
+ *
+ * x = k*ln2 + r, |r| <= 0.5*ln2.
+ *
+ * Here r will be represented as r = hi-lo for better
+ * accuracy.
+ *
+ * 2. Approximation of exp(r) by a special rational function on
+ * the interval [0,0.34658]:
+ * Write
+ * R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ...
+ * We use a special Reme algorithm on [0,0.34658] to generate
+ * a polynomial of degree 5 to approximate R. The maximum error
+ * of this polynomial approximation is bounded by 2**-59. In
+ * other words,
+ * R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5
+ * (where z=r*r, and the values of P1 to P5 are listed below)
+ * and
+ * | 5 | -59
+ * | 2.0+P1*z+...+P5*z - R(z) | <= 2
+ * | |
+ * The computation of exp(r) thus becomes
+ * 2*r
+ * exp(r) = 1 + -------
+ * R - r
+ * r*R1(r)
+ * = 1 + r + ----------- (for better accuracy)
+ * 2 - R1(r)
+ * where
+ * 2 4 10
+ * R1(r) = r - (P1*r + P2*r + ... + P5*r ).
+ *
+ * 3. Scale back to obtain exp(x):
+ * From step 1, we have
+ * exp(x) = 2^k * exp(r)
+ *
+ * Special cases:
+ * exp(INF) is INF, exp(NaN) is NaN;
+ * exp(-INF) is 0, and
+ * for finite argument, only exp(0)=1 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 exp(x) overflow
+ * if x < -7.45133219101941108420e+02 then exp(x) underflow
+ *
+ * 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
+one = 1.0,
+halF[2] = {0.5,-0.5,},
+huge = 1.0e+300,
+twom1000= 9.33263618503218878990e-302, /* 2**-1000=0x01700000,0*/
+o_threshold= 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */
+u_threshold= -7.45133219101941108420e+02, /* 0xc0874910, 0xD52D3051 */
+ln2HI[2] ={ 6.93147180369123816490e-01, /* 0x3fe62e42, 0xfee00000 */
+ -6.93147180369123816490e-01,},/* 0xbfe62e42, 0xfee00000 */
+ln2LO[2] ={ 1.90821492927058770002e-10, /* 0x3dea39ef, 0x35793c76 */
+ -1.90821492927058770002e-10,},/* 0xbdea39ef, 0x35793c76 */
+invln2 = 1.44269504088896338700e+00, /* 0x3ff71547, 0x652b82fe */
+P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */
+P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */
+P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
+P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
+P5 = 4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */
+
+
+#ifdef __STDC__
+ double __ieee754_exp(double x) /* default IEEE double exp */
+#else
+ double __ieee754_exp(x) /* default IEEE double exp */
+ double x;
+#endif
+{
+ double y,hi,lo,c,t;
+ int32_t k,xsb;
+ u_int32_t hx;
+
+ GET_HIGH_WORD(hx,x);
+ xsb = (hx>>31)&1; /* sign bit of x */
+ hx &= 0x7fffffff; /* high word of |x| */
+
+ /* filter out non-finite argument */
+ if(hx >= 0x40862E42) { /* if |x|>=709.78... */
+ if(hx>=0x7ff00000) {
+ u_int32_t lx;
+ GET_LOW_WORD(lx,x);
+ if(((hx&0xfffff)|lx)!=0)
+ return x+x; /* NaN */
+ else return (xsb==0)? x:0.0; /* exp(+-inf)={inf,0} */
+ }
+ if(x > o_threshold) return huge*huge; /* overflow */
+ if(x < u_threshold) return twom1000*twom1000; /* underflow */
+ }
+
+ /* argument reduction */
+ if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */
+ if(hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */
+ hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb;
+ } else {
+ k = invln2*x+halF[xsb];
+ t = k;
+ hi = x - t*ln2HI[0]; /* t*ln2HI is exact here */
+ lo = t*ln2LO[0];
+ }
+ x = hi - lo;
+ }
+ else if(hx < 0x3e300000) { /* when |x|<2**-28 */
+ if(huge+x>one) return one+x;/* trigger inexact */
+ }
+ else k = 0;
+
+ /* x is now in primary range */
+ t = x*x;
+ c = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
+ if(k==0) return one-((x*c)/(c-2.0)-x);
+ else y = one-((lo-(x*c)/(2.0-c))-hi);
+ if(k >= -1021) {
+ u_int32_t hy;
+ GET_HIGH_WORD(hy,y);
+ SET_HIGH_WORD(y,hy+(k<<20)); /* add k to y's exponent */
+ return y;
+ } else {
+ u_int32_t hy;
+ GET_HIGH_WORD(hy,y);
+ SET_HIGH_WORD(y,hy+((k+1000)<<20)); /* add k to y's exponent */
+ return y*twom1000;
+ }
+}
diff --git a/sysdeps/libm-ieee754/e_expf.c b/sysdeps/libm-ieee754/e_expf.c
new file mode 100644
index 0000000..80af179
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_expf.c
@@ -0,0 +1,104 @@
+/* e_expf.c -- float version of e_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: e_expf.c,v 1.5 1995/05/10 20:45:05 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+static const volatile float huge = 1.0e+30;
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0,
+halF[2] = {0.5,-0.5,},
+twom100 = 7.8886090522e-31, /* 2**-100=0x0d800000 */
+o_threshold= 8.8721679688e+01, /* 0x42b17180 */
+u_threshold= -1.0397208405e+02, /* 0xc2cff1b5 */
+ln2HI[2] ={ 6.9313812256e-01, /* 0x3f317180 */
+ -6.9313812256e-01,}, /* 0xbf317180 */
+ln2LO[2] ={ 9.0580006145e-06, /* 0x3717f7d1 */
+ -9.0580006145e-06,}, /* 0xb717f7d1 */
+invln2 = 1.4426950216e+00, /* 0x3fb8aa3b */
+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 */
+
+#ifdef __STDC__
+ float __ieee754_expf(float x) /* default IEEE double exp */
+#else
+ float __ieee754_expf(x) /* default IEEE double exp */
+ float x;
+#endif
+{
+ float y,hi,lo,c,t;
+ int32_t k,xsb;
+ u_int32_t hx;
+
+ GET_FLOAT_WORD(hx,x);
+ xsb = (hx>>31)&1; /* sign bit of x */
+ hx &= 0x7fffffff; /* high word of |x| */
+
+ /* filter out non-finite argument */
+ if(hx >= 0x42b17218) { /* if |x|>=88.721... */
+ if(hx>0x7f800000)
+ return x+x; /* NaN */
+ if(hx==0x7f800000)
+ return (xsb==0)? x:0.0; /* exp(+-inf)={inf,0} */
+ if(x > o_threshold) return huge*huge; /* overflow */
+ if(x < u_threshold) return twom100*twom100; /* underflow */
+ }
+
+ /* argument reduction */
+ if(hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */
+ if(hx < 0x3F851592) { /* and |x| < 1.5 ln2 */
+ hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb;
+ } else {
+ k = invln2*x+halF[xsb];
+ t = k;
+ hi = x - t*ln2HI[0]; /* t*ln2HI is exact here */
+ lo = t*ln2LO[0];
+ }
+ x = hi - lo;
+ }
+ else if(hx < 0x31800000) { /* when |x|<2**-28 */
+ if(huge+x>one) return one+x;/* trigger inexact */
+ }
+ else k = 0;
+
+ /* x is now in primary range */
+ t = x*x;
+ c = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
+ if(k==0) return one-((x*c)/(c-(float)2.0)-x);
+ else y = one-((lo-(x*c)/((float)2.0-c))-hi);
+ if(k >= -125) {
+ u_int32_t hy;
+ GET_FLOAT_WORD(hy,y);
+ SET_FLOAT_WORD(y,hy+(k<<23)); /* add k to y's exponent */
+ return y;
+ } else {
+ u_int32_t hy;
+ GET_FLOAT_WORD(hy,y);
+ SET_FLOAT_WORD(y,hy+((k+100)<<23)); /* add k to y's exponent */
+ return y*twom100;
+ }
+}
diff --git a/sysdeps/libm-ieee754/e_fmod.c b/sysdeps/libm-ieee754/e_fmod.c
new file mode 100644
index 0000000..2ce6135
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/libm-ieee754/e_fmodf.c b/sysdeps/libm-ieee754/e_fmodf.c
new file mode 100644
index 0000000..47b3123
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/libm-ieee754/e_hypot.c b/sysdeps/libm-ieee754/e_hypot.c
new file mode 100644
index 0000000..24c8ae4
--- /dev/null
+++ b/sysdeps/libm-ieee754/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=x,b=y,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/libm-ieee754/e_hypotf.c b/sysdeps/libm-ieee754/e_hypotf.c
new file mode 100644
index 0000000..434cf94
--- /dev/null
+++ b/sysdeps/libm-ieee754/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=x,b=y,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/libm-ieee754/e_j0.c b/sysdeps/libm-ieee754/e_j0.c
new file mode 100644
index 0000000..ac7e00a
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_j0.c
@@ -0,0 +1,487 @@
+/* @(#)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.
+ * ====================================================
+ */
+
+#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] */
+R02 = 1.56249999999999947958e-02, /* 0x3F8FFFFF, 0xFFFFFFFD */
+R03 = -1.89979294238854721751e-04, /* 0xBF28E6A5, 0xB61AC6E9 */
+R04 = 1.82954049532700665670e-06, /* 0x3EBEB1D1, 0x0C503919 */
+R05 = -4.61832688532103189199e-09, /* 0xBE33D5E7, 0x73D63FCE */
+S01 = 1.56191029464890010492e-02, /* 0x3F8FFCE8, 0x82C8C2A4 */
+S02 = 1.16926784663337450260e-04, /* 0x3F1EA6D2, 0xDD57DBF4 */
+S03 = 5.13546550207318111446e-07, /* 0x3EA13B54, 0xCE84D5A9 */
+S04 = 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;
+ 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;
+ r = z*(R02+z*(R03+z*(R04+z*R05)));
+ s = one+z*(S01+z*(S02+z*(S03+z*S04)));
+ 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
+u00 = -7.38042951086872317523e-02, /* 0xBFB2E4D6, 0x99CBD01F */
+u01 = 1.76666452509181115538e-01, /* 0x3FC69D01, 0x9DE9E3FC */
+u02 = -1.38185671945596898896e-02, /* 0xBF8C4CE8, 0xB16CFA97 */
+u03 = 3.47453432093683650238e-04, /* 0x3F36C54D, 0x20B29B6B */
+u04 = -3.81407053724364161125e-06, /* 0xBECFFEA7, 0x73D25CAD */
+u05 = 1.95590137035022920206e-08, /* 0x3E550057, 0x3B4EABD4 */
+u06 = -3.98205194132103398453e-11, /* 0xBDC5E43D, 0x693FB3C8 */
+v01 = 1.27304834834123699328e-02, /* 0x3F8A1270, 0x91C9C71A */
+v02 = 7.60068627350353253702e-05, /* 0x3F13ECBB, 0xF578C6C1 */
+v03 = 2.59150851840457805467e-07, /* 0x3E91642D, 0x7FF202FD */
+v04 = 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;
+ 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(u00 + tpi*__ieee754_log(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_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;
+ 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);
+ 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 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;
+ 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);
+ 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 (-.125 + r/s)/x;
+}
diff --git a/sysdeps/libm-ieee754/e_j0f.c b/sysdeps/libm-ieee754/e_j0f.c
new file mode 100644
index 0000000..b4e97a2
--- /dev/null
+++ b/sysdeps/libm-ieee754/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>0x80000000) 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>0x80000000) 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/libm-ieee754/e_j1.c b/sysdeps/libm-ieee754/e_j1.c
new file mode 100644
index 0000000..cdc18dd
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_j1.c
@@ -0,0 +1,486 @@
+/* @(#)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.
+ * ====================================================
+ */
+
+#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] */
+r00 = -6.25000000000000000000e-02, /* 0xBFB00000, 0x00000000 */
+r01 = 1.40705666955189706048e-03, /* 0x3F570D9F, 0x98472C61 */
+r02 = -1.59955631084035597520e-05, /* 0xBEF0C5C6, 0xBA169668 */
+r03 = 4.96727999609584448412e-08, /* 0x3E6AAAFA, 0x46CA0BD9 */
+s01 = 1.91537599538363460805e-02, /* 0x3F939D0B, 0x12637E53 */
+s02 = 1.85946785588630915560e-04, /* 0x3F285F56, 0xB9CDF664 */
+s03 = 1.17718464042623683263e-06, /* 0x3EB3BFF8, 0x333F8498 */
+s04 = 5.04636257076217042715e-09, /* 0x3E35AC88, 0xC97DFF2C */
+s05 = 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;
+ 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;
+ 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*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;
+ 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;
+ 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_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;
+ 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);
+ 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 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;
+ 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);
+ 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 (.375 + r/s)/x;
+}
diff --git a/sysdeps/libm-ieee754/e_j1f.c b/sysdeps/libm-ieee754/e_j1f.c
new file mode 100644
index 0000000..06384bd
--- /dev/null
+++ b/sysdeps/libm-ieee754/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>0x80000000) 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/libm-ieee754/e_jn.c b/sysdeps/libm-ieee754/e_jn.c
new file mode 100644
index 0000000..d63d768
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/libm-ieee754/e_jnf.c b/sysdeps/libm-ieee754/e_jnf.c
new file mode 100644
index 0000000..b9951f6
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_jnf.c
@@ -0,0 +1,212 @@
+/* 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,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/libm-ieee754/e_lgamma_r.c b/sysdeps/libm-ieee754/e_lgamma_r.c
new file mode 100644
index 0000000..1be4dda
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_lgamma_r.c
@@ -0,0 +1,312 @@
+/* @(#)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;
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return x*x;
+ if((ix|lx)==0) return one/zero;
+ 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 one/zero;
+ t = sin_pi(x);
+ if(t==zero) return one/zero; /* -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/libm-ieee754/e_lgammaf_r.c b/sysdeps/libm-ieee754/e_lgammaf_r.c
new file mode 100644
index 0000000..1d0122d
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_lgammaf_r.c
@@ -0,0 +1,248 @@
+/* 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;
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) return x*x;
+ if(ix==0) return one/zero;
+ 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 one/zero;
+ t = sin_pif(x);
+ if(t==zero) return one/zero; /* -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/libm-ieee754/e_log.c b/sysdeps/libm-ieee754/e_log.c
new file mode 100644
index 0000000..c27e0a9
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_log.c
@@ -0,0 +1,146 @@
+/* @(#)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.
+ * ====================================================
+ */
+
+#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 logrithm 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"
+
+#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 */
+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 __ieee754_log(double x)
+#else
+ double __ieee754_log(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/zero; /* log(+-0)=-inf */
+ if (hx<0) return (x-x)/zero; /* 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*(0.5-0.33333333333333333*f);
+ if(k==0) return f-R; else {dk=(double)k;
+ return dk*ln2_hi-((R-dk*ln2_lo)-f);}
+ }
+ s = f/(2.0+f);
+ dk = (double)k;
+ 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;
+ 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/libm-ieee754/e_log10.c b/sysdeps/libm-ieee754/e_log10.c
new file mode 100644
index 0000000..5d004ac
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/zero; /* log(+-0)=-inf */
+ if (hx<0) return (x-x)/zero; /* 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/libm-ieee754/e_log10f.c b/sysdeps/libm-ieee754/e_log10f.c
new file mode 100644
index 0000000..2082a76
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+two25 = 3.3554432000e+07, /* 0x4c000000 */
+ivln10 = 4.3429449201e-01, /* 0x3ede5bd9 */
+log10_2hi = 3.0102920532e-01, /* 0x3e9a2080 */
+log10_2lo = 7.9034151668e-07; /* 0x355427db */
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_log10f(float x)
+#else
+ float __ieee754_log10f(x)
+ float x;
+#endif
+{
+ float y,z;
+ int32_t i,k,hx;
+
+ GET_FLOAT_WORD(hx,x);
+
+ k=0;
+ if (hx < 0x00800000) { /* x < 2**-126 */
+ if ((hx&0x7fffffff)==0)
+ return -two25/zero; /* log(+-0)=-inf */
+ if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
+ k -= 25; x *= two25; /* subnormal number, scale up x */
+ GET_FLOAT_WORD(hx,x);
+ }
+ if (hx >= 0x7f800000) return x+x;
+ k += (hx>>23)-127;
+ i = ((u_int32_t)k&0x80000000)>>31;
+ hx = (hx&0x007fffff)|((0x7f-i)<<23);
+ y = (float)(k+i);
+ SET_FLOAT_WORD(x,hx);
+ z = y*log10_2lo + ivln10*__ieee754_logf(x);
+ return z+y*log10_2hi;
+}
diff --git a/sysdeps/libm-ieee754/e_logf.c b/sysdeps/libm-ieee754/e_logf.c
new file mode 100644
index 0000000..1481fd0
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_logf.c
@@ -0,0 +1,97 @@
+/* e_logf.c -- float version of e_log.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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/zero; /* log(+-0)=-inf */
+ if (ix<0) return (x-x)/zero; /* 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/libm-ieee754/e_pow.c b/sysdeps/libm-ieee754/e_pow.c
new file mode 100644
index 0000000..0d42381
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_pow.c
@@ -0,0 +1,308 @@
+/* @(#)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.
+ * ====================================================
+ */
+
+#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"
+
+#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 */
+zero = 0.0,
+one = 1.0,
+two = 2.0,
+two53 = 9007199254740992.0, /* 0x43400000, 0x00000000 */
+huge = 1.0e300,
+tiny = 1.0e-300,
+ /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
+L1 = 5.99999999999994648725e-01, /* 0x3FE33333, 0x33333303 */
+L2 = 4.28571428578550184252e-01, /* 0x3FDB6DB6, 0xDB6FABFF */
+L3 = 3.33333329818377432918e-01, /* 0x3FD55555, 0x518F264D */
+L4 = 2.72728123808534006489e-01, /* 0x3FD17460, 0xA91D4101 */
+L5 = 2.30660745775561754067e-01, /* 0x3FCD864A, 0x93C9DB65 */
+L6 = 2.06975017800338417784e-01, /* 0x3FCA7E28, 0x4A454EEF */
+P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */
+P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */
+P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
+P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
+P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */
+lg2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
+lg2_h = 6.93147182464599609375e-01, /* 0x3FE62E43, 0x00000000 */
+lg2_l = -1.90465429995776804525e-09, /* 0xBE205C61, 0x0CA86C39 */
+ovt = 8.0085662595372944372e-0017, /* -(1024-log2(ovfl+.5ulp)) */
+cp = 9.61796693925975554329e-01, /* 0x3FEEC709, 0xDC3A03FD =2/(3ln2) */
+cp_h = 9.61796700954437255859e-01, /* 0x3FEEC709, 0xE0000000 =(float)cp */
+cp_l = -7.02846165095275826516e-09, /* 0xBE3E2FE0, 0x145B01F5 =tail of cp_h*/
+ivln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE =1/ln2 */
+ivln2_h = 1.44269502162933349609e+00, /* 0x3FF71547, 0x60000000 =24b 1/ln2*/
+ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/
+
+#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;
+ 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 one;
+
+ /* +-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((j<<(52-k))==ly) yisint = 2-(j&1);
+ } else if(ly==0) {
+ j = iy>>(20-k);
+ if((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: zero;
+ else /* (|x|<1)**-,+inf = inf,0 */
+ return (hy<0)?-y: zero;
+ }
+ if(iy==0x3ff00000) { /* y is +-1 */
+ if(hy<0) return one/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 = one/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)? huge*huge:tiny*tiny;
+ if(ix>=0x3ff00000) return (hy>0)? huge*huge:tiny*tiny;
+ }
+ /* over/underflow if x is not close to one */
+ if(ix<0x3fefffff) return (hy<0)? huge*huge:tiny*tiny;
+ if(ix>0x3ff00000) 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)*(0.5-t*(0.3333333333333333333333-t*0.25));
+ u = ivln2_h*t; /* ivln2_h has 21 sig. bits */
+ v = t*ivln2_l-w*ivln2;
+ t1 = u+v;
+ SET_LOW_WORD(t1,0);
+ t2 = v-(t1-u);
+ } else {
+ double s2,s_h,s_l,t_h,t_l;
+ n = 0;
+ /* take care subnormal number */
+ if(ix<0x00100000)
+ {ax *= two53; 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 = one/(ax+bp[k]);
+ s = u*v;
+ s_h = s;
+ SET_LOW_WORD(s_h,0);
+ /* t_h=ax+bp[k] High */
+ t_h = zero;
+ 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;
+ 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 = 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 = 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 = (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 = 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) */
+ 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*huge*huge; /* overflow */
+ else {
+ if(p_l+ovt>z-p_h) return s*huge*huge; /* overflow */
+ }
+ } else if((j&0x7fffffff)>=0x4090cc00 ) { /* z <= -1075 */
+ if(((j-0xc090cc00)|i)!=0) /* z < -1075 */
+ return s*tiny*tiny; /* underflow */
+ else {
+ if(p_l<=z-p_h) return s*tiny*tiny; /* 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 = zero;
+ 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*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_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/libm-ieee754/e_powf.c b/sysdeps/libm-ieee754/e_powf.c
new file mode 100644
index 0000000..37e32ab
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 1.6 1995/05/12 04:57:35 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
+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 (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/libm-ieee754/e_rem_pio2.c b/sysdeps/libm-ieee754/e_rem_pio2.c
new file mode 100644
index 0000000..a8a8cdb
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/libm-ieee754/e_rem_pio2f.c b/sysdeps/libm-ieee754/e_rem_pio2f.c
new file mode 100644
index 0000000..e5d50a1
--- /dev/null
+++ b/sysdeps/libm-ieee754/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&&(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/libm-ieee754/e_remainder.c b/sysdeps/libm-ieee754/e_remainder.c
new file mode 100644
index 0000000..6418081
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/libm-ieee754/e_remainderf.c b/sysdeps/libm-ieee754/e_remainderf.c
new file mode 100644
index 0000000..90d0d36
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float zero = 0.0;
+#else
+static float zero = 0.0;
+#endif
+
+
+#ifdef __STDC__
+ float __ieee754_remainderf(float x, float p)
+#else
+ float __ieee754_remainderf(x,p)
+ float x,p;
+#endif
+{
+ int32_t hx,hp;
+ u_int32_t sx;
+ float p_half;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hp,p);
+ sx = hx&0x80000000;
+ hp &= 0x7fffffff;
+ hx &= 0x7fffffff;
+
+ /* purge off exception values */
+ if(hp==0) return (x*p)/(x*p); /* p = 0 */
+ if((hx>=0x7f800000)|| /* x not finite */
+ ((hp>0x7f800000))) /* p is NaN */
+ return (x*p)/(x*p);
+
+
+ if (hp<=0x7effffff) x = __ieee754_fmodf(x,p+p); /* now x < 2p */
+ if ((hx-hp)==0) return zero*x;
+ x = fabsf(x);
+ p = fabsf(p);
+ if (hp<0x01000000) {
+ if(x+x>p) {
+ x-=p;
+ if(x+x>=p) x -= p;
+ }
+ } else {
+ p_half = (float)0.5*p;
+ if(x>p_half) {
+ x-=p;
+ if(x>=p_half) x -= p;
+ }
+ }
+ GET_FLOAT_WORD(hx,x);
+ SET_FLOAT_WORD(x,hx^sx);
+ return x;
+}
diff --git a/sysdeps/libm-ieee754/e_scalb.c b/sysdeps/libm-ieee754/e_scalb.c
new file mode 100644
index 0000000..7f66ec7
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_scalb.c
@@ -0,0 +1,55 @@
+/* @(#)e_scalb.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_scalb.c,v 1.6 1995/05/10 20:46:09 jtc Exp $";
+#endif
+
+/*
+ * __ieee754_scalb(x, fn) is provide for
+ * passing various standard test suite. One
+ * should use scalbn() instead.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef _SCALB_INT
+#ifdef __STDC__
+ double __ieee754_scalb(double x, int fn)
+#else
+ double __ieee754_scalb(x,fn)
+ double x; int fn;
+#endif
+#else
+#ifdef __STDC__
+ double __ieee754_scalb(double x, double fn)
+#else
+ double __ieee754_scalb(x,fn)
+ double x, fn;
+#endif
+#endif
+{
+#ifdef _SCALB_INT
+ return scalbn(x,fn);
+#else
+ if (isnan(x)||isnan(fn)) return x*fn;
+ if (!finite(fn)) {
+ if(fn>0.0) return x*fn;
+ else return x/(-fn);
+ }
+ if (rint(fn)!=fn) return (fn-fn)/(fn-fn);
+ if ( fn > 65000.0) return scalbn(x, 65000);
+ if (-fn > 65000.0) return scalbn(x,-65000);
+ return scalbn(x,(int)fn);
+#endif
+}
diff --git a/sysdeps/libm-ieee754/e_scalbf.c b/sysdeps/libm-ieee754/e_scalbf.c
new file mode 100644
index 0000000..67abbb4
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_scalbf.c
@@ -0,0 +1,52 @@
+/* e_scalbf.c -- float version of e_scalb.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: e_scalbf.c,v 1.3 1995/05/10 20:46:12 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef _SCALB_INT
+#ifdef __STDC__
+ float __ieee754_scalbf(float x, int fn)
+#else
+ float __ieee754_scalbf(x,fn)
+ float x; int fn;
+#endif
+#else
+#ifdef __STDC__
+ float __ieee754_scalbf(float x, float fn)
+#else
+ float __ieee754_scalbf(x,fn)
+ float x, fn;
+#endif
+#endif
+{
+#ifdef _SCALB_INT
+ return __scalbnf(x,fn);
+#else
+ if (__isnanf(x)||__isnanf(fn)) return x*fn;
+ if (!__finitef(fn)) {
+ if(fn>(float)0.0) return x*fn;
+ else return x/(-fn);
+ }
+ if (__rintf(fn)!=fn) return (fn-fn)/(fn-fn);
+ if ( fn > (float)65000.0) return __scalbnf(x, 65000);
+ if (-fn > (float)65000.0) return __scalbnf(x,-65000);
+ return __scalbnf(x,(int)fn);
+#endif
+}
diff --git a/sysdeps/libm-ieee754/e_sinh.c b/sysdeps/libm-ieee754/e_sinh.c
new file mode 100644
index 0000000..1b37256
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_sinh.c
@@ -0,0 +1,86 @@
+/* @(#)e_sinh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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/libm-ieee754/e_sinhf.c b/sysdeps/libm-ieee754/e_sinhf.c
new file mode 100644
index 0000000..045f6f1
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0, shuge = 1.0e37;
+#else
+static float one = 1.0, shuge = 1.0e37;
+#endif
+
+#ifdef __STDC__
+ float __ieee754_sinhf(float x)
+#else
+ float __ieee754_sinhf(x)
+ float x;
+#endif
+{
+ float t,w,h;
+ int32_t ix,jx;
+
+ GET_FLOAT_WORD(jx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7f800000) return x+x;
+
+ h = 0.5;
+ if (jx<0) h = -h;
+ /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
+ if (ix < 0x41b00000) { /* |x|<22 */
+ if (ix<0x31800000) /* |x|<2**-28 */
+ if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
+ t = __expm1f(fabsf(x));
+ if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
+ return h*(t+t/(t+one));
+ }
+
+ /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
+ if (ix < 0x42b17180) return h*__ieee754_expf(fabsf(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ if (ix<=0x42b2d4fc) {
+ w = __ieee754_expf((float)0.5*fabsf(x));
+ t = h*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthresold, sinh(x) overflow */
+ return x*shuge;
+}
diff --git a/sysdeps/libm-ieee754/e_sqrt.c b/sysdeps/libm-ieee754/e_sqrt.c
new file mode 100644
index 0000000..15fba00
--- /dev/null
+++ b/sysdeps/libm-ieee754/e_sqrt.c
@@ -0,0 +1,453 @@
+/* @(#)e_sqrt.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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 algebric 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/libm-ieee754/e_sqrtf.c b/sysdeps/libm-ieee754/e_sqrtf.c
new file mode 100644
index 0000000..7648ef4
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/libm-ieee754/k_cos.c b/sysdeps/libm-ieee754/k_cos.c
new file mode 100644
index 0000000..d8740b3
--- /dev/null
+++ b/sysdeps/libm-ieee754/k_cos.c
@@ -0,0 +1,96 @@
+/* @(#)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.
+ * ====================================================
+ */
+
+#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
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */
+C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */
+C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */
+C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */
+C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */
+C6 = -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;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff; /* ix = |x|'s high word*/
+ if(ix<0x3e400000) { /* 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 < 0x3FD33333) /* if |x| < 0.3 */
+ return one - (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 = one-qx;
+ return a - (hz - (z*r-x*y));
+ }
+}
diff --git a/sysdeps/libm-ieee754/k_cosf.c b/sysdeps/libm-ieee754/k_cosf.c
new file mode 100644
index 0000000..b232cab
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0000000000e+00, /* 0x3f800000 */
+C1 = 4.1666667908e-02, /* 0x3d2aaaab */
+C2 = -1.3888889225e-03, /* 0xbab60b61 */
+C3 = 2.4801587642e-05, /* 0x37d00d01 */
+C4 = -2.7557314297e-07, /* 0xb493f27c */
+C5 = 2.0875723372e-09, /* 0x310f74f6 */
+C6 = -1.1359647598e-11; /* 0xad47d74e */
+
+#ifdef __STDC__
+ float __kernel_cosf(float x, float y)
+#else
+ float __kernel_cosf(x, y)
+ float x,y;
+#endif
+{
+ float a,hz,z,r,qx;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff; /* ix = |x|'s high word*/
+ if(ix<0x32000000) { /* if x < 2**27 */
+ if(((int)x)==0) return one; /* generate inexact */
+ }
+ z = x*x;
+ r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6)))));
+ if(ix < 0x3e99999a) /* if |x| < 0.3 */
+ return one - ((float)0.5*z - (z*r - x*y));
+ else {
+ if(ix > 0x3f480000) { /* x > 0.78125 */
+ qx = (float)0.28125;
+ } else {
+ SET_FLOAT_WORD(qx,ix-0x01000000); /* x/4 */
+ }
+ hz = (float)0.5*z-qx;
+ a = one-qx;
+ return a - (hz - (z*r-x*y));
+ }
+}
diff --git a/sysdeps/libm-ieee754/k_rem_pio2.c b/sysdeps/libm-ieee754/k_rem_pio2.c
new file mode 100644
index 0000000..5e29b05
--- /dev/null
+++ b/sysdeps/libm-ieee754/k_rem_pio2.c
@@ -0,0 +1,320 @@
+/* @(#)k_rem_pio2.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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
+ * precison, 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/libm-ieee754/k_rem_pio2f.c b/sysdeps/libm-ieee754/k_rem_pio2f.c
new file mode 100644
index 0000000..2783480
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/libm-ieee754/k_sin.c b/sysdeps/libm-ieee754/k_sin.c
new file mode 100644
index 0000000..86b9552
--- /dev/null
+++ b/sysdeps/libm-ieee754/k_sin.c
@@ -0,0 +1,79 @@
+/* @(#)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.
+ * ====================================================
+ */
+
+#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
+half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */
+S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */
+S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */
+S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */
+S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */
+S6 = 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;
+ 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;
+ 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/libm-ieee754/k_sinf.c b/sysdeps/libm-ieee754/k_sinf.c
new file mode 100644
index 0000000..4fec15e
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+half = 5.0000000000e-01,/* 0x3f000000 */
+S1 = -1.6666667163e-01, /* 0xbe2aaaab */
+S2 = 8.3333337680e-03, /* 0x3c088889 */
+S3 = -1.9841270114e-04, /* 0xb9500d01 */
+S4 = 2.7557314297e-06, /* 0x3638ef1b */
+S5 = -2.5050759689e-08, /* 0xb2d72f34 */
+S6 = 1.5896910177e-10; /* 0x2f2ec9d3 */
+
+#ifdef __STDC__
+ float __kernel_sinf(float x, float y, int iy)
+#else
+ float __kernel_sinf(x, y, iy)
+ float x,y; int iy; /* iy=0 if y is zero */
+#endif
+{
+ float z,r,v;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff; /* high word of x */
+ if(ix<0x32000000) /* |x| < 2**-27 */
+ {if((int)x==0) return x;} /* generate inexact */
+ z = x*x;
+ v = z*x;
+ r = S2+z*(S3+z*(S4+z*(S5+z*S6)));
+ if(iy==0) return x+v*(S1+z*r);
+ else return x-((z*(half*y-v*r)-y)-v*S1);
+}
diff --git a/sysdeps/libm-ieee754/k_standard.c b/sysdeps/libm-ieee754/k_standard.c
new file mode 100644
index 0000000..d46afb5
--- /dev/null
+++ b/sysdeps/libm-ieee754/k_standard.c
@@ -0,0 +1,782 @@
+/* @(#)k_standard.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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>
+
+#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) */
+
+#ifdef __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-- gamma(finite) overflow
+ * 41-- gamma(-integer)
+ * 42-- pow(NaN,0.0)
+ */
+
+
+#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:
+ /* acos(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "acos" : "acosf";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if(_LIB_VERSION == _SVID_) {
+ (void) WRITE2("acos: DOMAIN error\n", 19);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 2:
+ case 102:
+ /* asin(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "asin" : "asinf";
+ exc.retval = zero;
+ if(_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if(_LIB_VERSION == _SVID_) {
+ (void) WRITE2("asin: DOMAIN error\n", 19);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 3:
+ case 103:
+ /* atan2(+-0,+-0) */
+ exc.arg1 = y;
+ exc.arg2 = x;
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "atan2" : "atan2f";
+ exc.retval = zero;
+ if(_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if(_LIB_VERSION == _SVID_) {
+ (void) WRITE2("atan2: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 4:
+ case 104:
+ /* hypot(finite,finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "hypot" : "hypotf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 5:
+ case 105:
+ /* cosh(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "cosh" : "coshf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 6:
+ case 106:
+ /* exp(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "exp" : "expf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 7:
+ case 107:
+ /* exp(finite) underflow */
+ exc.type = UNDERFLOW;
+ exc.name = type < 100 ? "exp" : "expf";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 8:
+ case 108:
+ /* y0(0) = -inf */
+ exc.type = DOMAIN; /* should be SING for IEEE */
+ exc.name = type < 100 ? "y0" : "y0f";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y0: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 9:
+ case 109:
+ /* y0(x<0) = NaN */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "y0" : "y0f";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y0: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 10:
+ case 110:
+ /* y1(0) = -inf */
+ exc.type = DOMAIN; /* should be SING for IEEE */
+ exc.name = type < 100 ? "y1" : "y1f";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y1: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 11:
+ case 111:
+ /* y1(x<0) = NaN */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "y1" : "y1f";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y1: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 12:
+ case 112:
+ /* yn(n,0) = -inf */
+ exc.type = DOMAIN; /* should be SING for IEEE */
+ exc.name = type < 100 ? "yn" : "ynf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("yn: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 13:
+ case 113:
+ /* yn(x<0) = NaN */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "yn" : "ynf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("yn: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 14:
+ case 114:
+ /* lgamma(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "lgamma" : "lgammaf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 15:
+ case 115:
+ /* lgamma(-integer) or lgamma(0) */
+ exc.type = SING;
+ exc.name = type < 100 ? "lgamma" : "lgammaf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("lgamma: SING error\n", 19);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 16:
+ case 116:
+ /* log(0) */
+ exc.type = SING;
+ exc.name = type < 100 ? "log" : "logf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log: SING error\n", 16);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 17:
+ case 117:
+ /* log(x<0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "log" : "logf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log: DOMAIN error\n", 18);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 18:
+ case 118:
+ /* log10(0) */
+ exc.type = SING;
+ exc.name = type < 100 ? "log10" : "log10f";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log10: SING error\n", 18);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 19:
+ case 119:
+ /* log10(x<0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "log10" : "log10f";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log10: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 20:
+ case 120:
+ /* pow(0.0,0.0) */
+ /* error only if _LIB_VERSION == _SVID_ */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "pow" : "powf";
+ exc.retval = zero;
+ if (_LIB_VERSION != _SVID_) exc.retval = 1.0;
+ else if (!matherr(&exc)) {
+ (void) WRITE2("pow(0,0): DOMAIN error\n", 23);
+ errno = EDOM;
+ }
+ break;
+ case 21:
+ case 121:
+ /* pow(x,y) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "pow" : "powf";
+ 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_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 22:
+ case 122:
+ /* pow(x,y) underflow */
+ exc.type = UNDERFLOW;
+ exc.name = type < 100 ? "pow" : "powf";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 23:
+ case 123:
+ /* 0**neg */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "pow" : "powf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = zero;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("pow(0,neg): DOMAIN error\n", 25);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 24:
+ case 124:
+ /* neg**non-integral */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "pow" : "powf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = zero;
+ else
+ exc.retval = zero/zero; /* X/Open allow NaN */
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("neg**non-integral: DOMAIN error\n", 32);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 25:
+ case 125:
+ /* sinh(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "sinh" : "sinhf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = ( (x>zero) ? HUGE : -HUGE);
+ else
+ exc.retval = ( (x>zero) ? HUGE_VAL : -HUGE_VAL);
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 26:
+ case 126:
+ /* sqrt(x<0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "sqrt" : "sqrtf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = zero;
+ else
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("sqrt: DOMAIN error\n", 19);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 27:
+ case 127:
+ /* fmod(x,0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "fmod" : "fmodf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = x;
+ else
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("fmod: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 28:
+ case 128:
+ /* remainder(x,0) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "remainder" : "remainderf";
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("remainder: DOMAIN error\n", 24);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 29:
+ case 129:
+ /* acosh(x<1) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "acosh" : "acoshf";
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("acosh: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 30:
+ case 130:
+ /* atanh(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "atanh" : "atanhf";
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("atanh: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 31:
+ case 131:
+ /* atanh(|x|=1) */
+ exc.type = SING;
+ exc.name = type < 100 ? "atanh" : "atanhf";
+ exc.retval = x/zero; /* sign(x)*inf */
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("atanh: SING error\n", 18);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 32:
+ case 132:
+ /* scalb overflow; SVID also returns +-HUGE_VAL */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "scalb" : "scalbf";
+ exc.retval = x > zero ? HUGE_VAL : -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 33:
+ case 133:
+ /* scalb underflow */
+ exc.type = UNDERFLOW;
+ exc.name = type < 100 ? "scalb" : "scalbf";
+ exc.retval = __copysign(zero,x);
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 34:
+ case 134:
+ /* j0(|x|>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "j0" : "j0f";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 35:
+ case 135:
+ /* y0(x>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "y0" : "y0f";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 36:
+ case 136:
+ /* j1(|x|>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "j1" : "j1f";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 37:
+ case 137:
+ /* y1(x>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "y1" : "y1f";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 38:
+ case 138:
+ /* jn(|x|>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "jn" : "jnf";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 39:
+ case 139:
+ /* yn(x>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = type < 100 ? "yn" : "ynf";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 40:
+ case 140:
+ /* gamma(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = type < 100 ? "gamma" : "gammaf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 41:
+ case 141:
+ /* gamma(-integer) or gamma(0) */
+ exc.type = SING;
+ exc.name = type < 100 ? "gamma" : "gammaf";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("gamma: SING error\n", 18);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 42:
+ case 142:
+ /* pow(NaN,0.0) */
+ /* error only if _LIB_VERSION == _SVID_ & _XOPEN_ */
+ exc.type = DOMAIN;
+ exc.name = type < 100 ? "pow" : "powf";
+ exc.retval = x;
+ if (_LIB_VERSION == _IEEE_ ||
+ _LIB_VERSION == _POSIX_) exc.retval = 1.0;
+ else if (!matherr(&exc)) {
+ errno = EDOM;
+ }
+ break;
+ }
+ return exc.retval;
+}
diff --git a/sysdeps/libm-ieee754/k_tan.c b/sysdeps/libm-ieee754/k_tan.c
new file mode 100644
index 0000000..aa9c67c
--- /dev/null
+++ b/sysdeps/libm-ieee754/k_tan.c
@@ -0,0 +1,131 @@
+/* @(#)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.
+ * ====================================================
+ */
+
+#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;
+ 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]))
+ */
+ 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>=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/libm-ieee754/k_tanf.c b/sysdeps/libm-ieee754/k_tanf.c
new file mode 100644
index 0000000..eb1a670
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/libm-ieee754/s_asinh.c b/sysdeps/libm-ieee754/s_asinh.c
new file mode 100644
index 0000000..bb3c495
--- /dev/null
+++ b/sysdeps/libm-ieee754/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
+ * 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/libm-ieee754/s_asinhf.c b/sysdeps/libm-ieee754/s_asinhf.c
new file mode 100644
index 0000000..d57508d
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+one = 1.0000000000e+00, /* 0x3F800000 */
+ln2 = 6.9314718246e-01, /* 0x3f317218 */
+huge= 1.0000000000e+30;
+
+#ifdef __STDC__
+ float __asinhf(float x)
+#else
+ float __asinhf(x)
+ float x;
+#endif
+{
+ float t,w;
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) return x+x; /* x is inf or NaN */
+ if(ix< 0x31800000) { /* |x|<2**-28 */
+ if(huge+x>one) return x; /* return x inexact except 0 */
+ }
+ if(ix>0x4d800000) { /* |x| > 2**28 */
+ w = __ieee754_logf(fabsf(x))+ln2;
+ } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */
+ t = fabsf(x);
+ w = __ieee754_logf((float)2.0*t+one/(__ieee754_sqrtf(x*x+one)+t));
+ } else { /* 2.0 > |x| > 2**-28 */
+ t = x*x;
+ w =__log1pf(fabsf(x)+t/(one+__ieee754_sqrtf(one+t)));
+ }
+ if(hx>0) return w; else return -w;
+}
+weak_alias (__asinhf, asinhf)
diff --git a/sysdeps/libm-ieee754/s_atan.c b/sysdeps/libm-ieee754/s_atan.c
new file mode 100644
index 0000000..2f3c545
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_atan.c
@@ -0,0 +1,140 @@
+/* @(#)s_atan.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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,s2,z;
+ 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 */
+ 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 (__atan, atan)
diff --git a/sysdeps/libm-ieee754/s_atanf.c b/sysdeps/libm-ieee754/s_atanf.c
new file mode 100644
index 0000000..a68933f
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/libm-ieee754/s_cbrt.c b/sysdeps/libm-ieee754/s_cbrt.c
new file mode 100644
index 0000000..cf72f4c
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_cbrt.c
@@ -0,0 +1,94 @@
+/* @(#)s_cbrt.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_cbrt.c,v 1.8 1995/05/10 20:46:49 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+/* cbrt(x)
+ * Return cube root of x
+ */
+#ifdef __STDC__
+static const u_int32_t
+#else
+static u_int32_t
+#endif
+ B1 = 715094163, /* B1 = (682-0.03306235651)*2**20 */
+ B2 = 696219795; /* B2 = (664-0.03306235651)*2**20 */
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+C = 5.42857142857142815906e-01, /* 19/35 = 0x3FE15F15, 0xF15F15F1 */
+D = -7.05306122448979611050e-01, /* -864/1225 = 0xBFE691DE, 0x2532C834 */
+E = 1.41428571428571436819e+00, /* 99/70 = 0x3FF6A0EA, 0x0EA0EA0F */
+F = 1.60714285714285720630e+00, /* 45/28 = 0x3FF9B6DB, 0x6DB6DB6E */
+G = 3.57142857142857150787e-01; /* 5/14 = 0x3FD6DB6D, 0xB6DB6DB7 */
+
+#ifdef __STDC__
+ double __cbrt(double x)
+#else
+ double __cbrt(x)
+ double x;
+#endif
+{
+ int32_t hx;
+ double r,s,t=0.0,w;
+ u_int32_t sign;
+ u_int32_t high,low;
+
+ GET_HIGH_WORD(hx,x);
+ sign=hx&0x80000000; /* sign= sign(x) */
+ hx ^=sign;
+ if(hx>=0x7ff00000) return(x+x); /* cbrt(NaN,INF) is itself */
+ GET_LOW_WORD(low,x);
+ if((hx|low)==0)
+ return(x); /* cbrt(0) is itself */
+
+ SET_HIGH_WORD(x,hx); /* x <- |x| */
+ /* rough cbrt to 5 bits */
+ if(hx<0x00100000) /* subnormal number */
+ {SET_HIGH_WORD(t,0x43500000); /* set t= 2**54 */
+ t*=x; GET_HIGH_WORD(high,t); SET_HIGH_WORD(t,high/3+B2);
+ }
+ else
+ SET_HIGH_WORD(t,hx/3+B1);
+
+
+ /* new cbrt to 23 bits, may be implemented in single precision */
+ r=t*t/x;
+ s=C+r*t;
+ t*=G+F/(s+E+D/s);
+
+ /* chopped to 20 bits and make it larger than cbrt(x) */
+ GET_HIGH_WORD(high,t);
+ INSERT_WORDS(t,high+0x00000001,0);
+
+
+ /* one step newton iteration to 53 bits with error less than 0.667 ulps */
+ s=t*t; /* t*t is exact */
+ r=x/s;
+ w=t+t;
+ r=(r-t)/(w+r); /* r-s is exact */
+ t=t+t*r;
+
+ /* retore the sign bit */
+ GET_HIGH_WORD(high,t);
+ SET_HIGH_WORD(t,high|sign);
+ return(t);
+}
+weak_alias (__cbrt, cbrt)
diff --git a/sysdeps/libm-ieee754/s_cbrtf.c b/sysdeps/libm-ieee754/s_cbrtf.c
new file mode 100644
index 0000000..a2b3c81
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_cbrtf.c
@@ -0,0 +1,84 @@
+/* s_cbrtf.c -- float version of s_cbrt.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_cbrtf.c,v 1.4 1995/05/10 20:46:51 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+/* cbrtf(x)
+ * Return cube root of x
+ */
+#ifdef __STDC__
+static const unsigned
+#else
+static unsigned
+#endif
+ B1 = 709958130, /* B1 = (84+2/3-0.03306235651)*2**23 */
+ B2 = 642849266; /* B2 = (76+2/3-0.03306235651)*2**23 */
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+C = 5.4285717010e-01, /* 19/35 = 0x3f0af8b0 */
+D = -7.0530611277e-01, /* -864/1225 = 0xbf348ef1 */
+E = 1.4142856598e+00, /* 99/70 = 0x3fb50750 */
+F = 1.6071428061e+00, /* 45/28 = 0x3fcdb6db */
+G = 3.5714286566e-01; /* 5/14 = 0x3eb6db6e */
+
+#ifdef __STDC__
+ float __cbrtf(float x)
+#else
+ float __cbrtf(x)
+ float x;
+#endif
+{
+ float r,s,t;
+ int32_t hx;
+ u_int32_t sign;
+ u_int32_t high;
+
+ GET_FLOAT_WORD(hx,x);
+ sign=hx&0x80000000; /* sign= sign(x) */
+ hx ^=sign;
+ if(hx>=0x7f800000) return(x+x); /* cbrt(NaN,INF) is itself */
+ if(hx==0)
+ return(x); /* cbrt(0) is itself */
+
+ SET_FLOAT_WORD(x,hx); /* x <- |x| */
+ /* rough cbrt to 5 bits */
+ if(hx<0x00800000) /* subnormal number */
+ {SET_FLOAT_WORD(t,0x4b800000); /* set t= 2**24 */
+ t*=x; GET_FLOAT_WORD(high,t); SET_FLOAT_WORD(t,high/3+B2);
+ }
+ else
+ SET_FLOAT_WORD(t,hx/3+B1);
+
+
+ /* new cbrt to 23 bits */
+ r=t*t/x;
+ s=C+r*t;
+ t*=G+F/(s+E+D/s);
+
+ /* retore the sign bit */
+ GET_FLOAT_WORD(high,t);
+ SET_FLOAT_WORD(t,high|sign);
+ return(t);
+}
+weak_alias (__cbrtf, cbrtf)
diff --git a/sysdeps/libm-ieee754/s_ceil.c b/sysdeps/libm-ieee754/s_ceil.c
new file mode 100644
index 0000000..9c878f7
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_ceil.c
@@ -0,0 +1,81 @@
+/* @(#)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)
diff --git a/sysdeps/libm-ieee754/s_ceilf.c b/sysdeps/libm-ieee754/s_ceilf.c
new file mode 100644
index 0000000..29ccadb
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float huge = 1.0e30;
+#else
+static float huge = 1.0e30;
+#endif
+
+#ifdef __STDC__
+ float __ceilf(float x)
+#else
+ float __ceilf(x)
+ float x;
+#endif
+{
+ int32_t i0,j0;
+ u_int32_t i;
+
+ GET_FLOAT_WORD(i0,x);
+ j0 = ((i0>>23)&0xff)-0x7f;
+ if(j0<23) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>(float)0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0<0) {i0=0x80000000;}
+ else if(i0!=0) { i0=0x3f800000;}
+ }
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) return x; /* x is integral */
+ if(huge+x>(float)0.0) { /* raise inexact flag */
+ if(i0>0) i0 += (0x00800000)>>j0;
+ i0 &= (~i);
+ }
+ }
+ } else {
+ if(j0==0x80) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ }
+ SET_FLOAT_WORD(x,i0);
+ return x;
+}
+weak_alias (__ceilf, ceilf)
diff --git a/sysdeps/libm-ieee754/s_copysign.c b/sysdeps/libm-ieee754/s_copysign.c
new file mode 100644
index 0000000..b86ac76
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_copysign.c
@@ -0,0 +1,39 @@
+/* @(#)s_copysign.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_copysign.c,v 1.8 1995/05/10 20:46:57 jtc Exp $";
+#endif
+
+/*
+ * copysign(double x, double y)
+ * copysign(x,y) returns a value with the magnitude of x and
+ * with the sign bit of y.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __copysign(double x, double y)
+#else
+ double __copysign(x,y)
+ double x,y;
+#endif
+{
+ u_int32_t hx,hy;
+ GET_HIGH_WORD(hx,x);
+ GET_HIGH_WORD(hy,y);
+ SET_HIGH_WORD(x,(hx&0x7fffffff)|(hy&0x80000000));
+ return x;
+}
+weak_alias (__copysign, copysign)
diff --git a/sysdeps/libm-ieee754/s_copysignf.c b/sysdeps/libm-ieee754/s_copysignf.c
new file mode 100644
index 0000000..a4e84e5
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_copysignf.c
@@ -0,0 +1,42 @@
+/* s_copysignf.c -- float version of s_copysign.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_copysignf.c,v 1.4 1995/05/10 20:46:59 jtc Exp $";
+#endif
+
+/*
+ * copysignf(float x, float y)
+ * copysignf(x,y) returns a value with the magnitude of x and
+ * with the sign bit of y.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __copysignf(float x, float y)
+#else
+ float __copysignf(x,y)
+ float x,y;
+#endif
+{
+ u_int32_t ix,iy;
+ GET_FLOAT_WORD(ix,x);
+ GET_FLOAT_WORD(iy,y);
+ SET_FLOAT_WORD(x,(ix&0x7fffffff)|(iy&0x80000000));
+ return x;
+}
+weak_alias (__copysignf, copysignf)
diff --git a/sysdeps/libm-ieee754/s_cos.c b/sysdeps/libm-ieee754/s_cos.c
new file mode 100644
index 0000000..33a7316
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_cos.c
@@ -0,0 +1,83 @@
+/* @(#)s_cos.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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)
diff --git a/sysdeps/libm-ieee754/s_cosf.c b/sysdeps/libm-ieee754/s_cosf.c
new file mode 100644
index 0000000..86c59d4
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one=1.0;
+#else
+static float one=1.0;
+#endif
+
+#ifdef __STDC__
+ float __cosf(float x)
+#else
+ float __cosf(x)
+ float x;
+#endif
+{
+ float y[2],z=0.0;
+ int32_t n,ix;
+
+ GET_FLOAT_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3f490fd8) return __kernel_cosf(x,z);
+
+ /* cos(Inf or NaN) is NaN */
+ else if (ix>=0x7f800000) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2f(x,y);
+ switch(n&3) {
+ case 0: return __kernel_cosf(y[0],y[1]);
+ case 1: return -__kernel_sinf(y[0],y[1],1);
+ case 2: return -__kernel_cosf(y[0],y[1]);
+ default:
+ return __kernel_sinf(y[0],y[1],1);
+ }
+ }
+}
+weak_alias (__cosf, cosf)
diff --git a/sysdeps/libm-ieee754/s_erf.c b/sysdeps/libm-ieee754/s_erf.c
new file mode 100644
index 0000000..d3377a5
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_erf.c
@@ -0,0 +1,316 @@
+/* @(#)s_erf.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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 */
+pp0 = 1.28379167095512558561e-01, /* 0x3FC06EBA, 0x8214DB68 */
+pp1 = -3.25042107247001499370e-01, /* 0xBFD4CD7D, 0x691CB913 */
+pp2 = -2.84817495755985104766e-02, /* 0xBF9D2A51, 0xDBD7194F */
+pp3 = -5.77027029648944159157e-03, /* 0xBF77A291, 0x236668E4 */
+pp4 = -2.37630166566501626084e-05, /* 0xBEF8EAD6, 0x120016AC */
+qq1 = 3.97917223959155352819e-01, /* 0x3FD97779, 0xCDDADC09 */
+qq2 = 6.50222499887672944485e-02, /* 0x3FB0A54C, 0x5536CEBA */
+qq3 = 5.08130628187576562776e-03, /* 0x3F74D022, 0xC4D36B0F */
+qq4 = 1.32494738004321644526e-04, /* 0x3F215DC9, 0x221C1A10 */
+qq5 = -3.96022827877536812320e-06, /* 0xBED09C43, 0x42A26120 */
+/*
+ * Coefficients for approximation to erf in [0.84375,1.25]
+ */
+pa0 = -2.36211856075265944077e-03, /* 0xBF6359B8, 0xBEF77538 */
+pa1 = 4.14856118683748331666e-01, /* 0x3FDA8D00, 0xAD92B34D */
+pa2 = -3.72207876035701323847e-01, /* 0xBFD7D240, 0xFBB8C3F1 */
+pa3 = 3.18346619901161753674e-01, /* 0x3FD45FCA, 0x805120E4 */
+pa4 = -1.10894694282396677476e-01, /* 0xBFBC6398, 0x3D3E28EC */
+pa5 = 3.54783043256182359371e-02, /* 0x3FA22A36, 0x599795EB */
+pa6 = -2.16637559486879084300e-03, /* 0xBF61BF38, 0x0A96073F */
+qa1 = 1.06420880400844228286e-01, /* 0x3FBB3E66, 0x18EEE323 */
+qa2 = 5.40397917702171048937e-01, /* 0x3FE14AF0, 0x92EB6F33 */
+qa3 = 7.18286544141962662868e-02, /* 0x3FB2635C, 0xD99FE9A7 */
+qa4 = 1.26171219808761642112e-01, /* 0x3FC02660, 0xE763351F */
+qa5 = 1.36370839120290507362e-02, /* 0x3F8BEDC2, 0x6B51DD1C */
+qa6 = 1.19844998467991074170e-02, /* 0x3F888B54, 0x5735151D */
+/*
+ * Coefficients for approximation to erfc in [1.25,1/0.35]
+ */
+ra0 = -9.86494403484714822705e-03, /* 0xBF843412, 0x600D6435 */
+ra1 = -6.93858572707181764372e-01, /* 0xBFE63416, 0xE4BA7360 */
+ra2 = -1.05586262253232909814e+01, /* 0xC0251E04, 0x41B0E726 */
+ra3 = -6.23753324503260060396e+01, /* 0xC04F300A, 0xE4CBA38D */
+ra4 = -1.62396669462573470355e+02, /* 0xC0644CB1, 0x84282266 */
+ra5 = -1.84605092906711035994e+02, /* 0xC067135C, 0xEBCCABB2 */
+ra6 = -8.12874355063065934246e+01, /* 0xC0545265, 0x57E4D2F2 */
+ra7 = -9.81432934416914548592e+00, /* 0xC023A0EF, 0xC69AC25C */
+sa1 = 1.96512716674392571292e+01, /* 0x4033A6B9, 0xBD707687 */
+sa2 = 1.37657754143519042600e+02, /* 0x4061350C, 0x526AE721 */
+sa3 = 4.34565877475229228821e+02, /* 0x407B290D, 0xD58A1A71 */
+sa4 = 6.45387271733267880336e+02, /* 0x40842B19, 0x21EC2868 */
+sa5 = 4.29008140027567833386e+02, /* 0x407AD021, 0x57700314 */
+sa6 = 1.08635005541779435134e+02, /* 0x405B28A3, 0xEE48AE2C */
+sa7 = 6.57024977031928170135e+00, /* 0x401A47EF, 0x8E484A93 */
+sa8 = -6.04244152148580987438e-02, /* 0xBFAEEFF2, 0xEE749A62 */
+/*
+ * Coefficients for approximation to erfc in [1/.35,28]
+ */
+rb0 = -9.86494292470009928597e-03, /* 0xBF843412, 0x39E86F4A */
+rb1 = -7.99283237680523006574e-01, /* 0xBFE993BA, 0x70C285DE */
+rb2 = -1.77579549177547519889e+01, /* 0xC031C209, 0x555F995A */
+rb3 = -1.60636384855821916062e+02, /* 0xC064145D, 0x43C5ED98 */
+rb4 = -6.37566443368389627722e+02, /* 0xC083EC88, 0x1375F228 */
+rb5 = -1.02509513161107724954e+03, /* 0xC0900461, 0x6A2E5992 */
+rb6 = -4.83519191608651397019e+02, /* 0xC07E384E, 0x9BDC383F */
+sb1 = 3.03380607434824582924e+01, /* 0x403E568B, 0x261D5190 */
+sb2 = 3.25792512996573918826e+02, /* 0x40745CAE, 0x221B9F0A */
+sb3 = 1.53672958608443695994e+03, /* 0x409802EB, 0x189D5118 */
+sb4 = 3.19985821950859553908e+03, /* 0x40A8FFB7, 0x688C246A */
+sb5 = 2.55305040643316442583e+03, /* 0x40A3F219, 0xCEDF3BE6 */
+sb6 = 4.74528541206955367215e+02, /* 0x407DA874, 0xE79FE763 */
+sb7 = -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 */
+ 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;
+ 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 < 0x3ff40000) { /* 0.84375 <= |x| < 1.25 */
+ s = fabs(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 >= 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 */
+ 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))))));
+ }
+ 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 __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 */
+ if(ix < 0x3c700000) /* |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 < 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 */
+ s = fabs(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 < 0x403c0000) { /* |x|<28 */
+ x = fabs(x);
+ s = one/(x*x);
+ if(ix< 0x4006DB6D) { /* |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>=0x40180000) 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))))));
+ }
+ 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)
diff --git a/sysdeps/libm-ieee754/s_erff.c b/sysdeps/libm-ieee754/s_erff.c
new file mode 100644
index 0000000..774714c
--- /dev/null
+++ b/sysdeps/libm-ieee754/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/libm-ieee754/s_expm1.c b/sysdeps/libm-ieee754/s_expm1.c
new file mode 100644
index 0000000..a88ec29
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_expm1.c
@@ -0,0 +1,229 @@
+/* @(#)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.
+ * ====================================================
+ */
+
+#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"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+one = 1.0,
+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 */
+Q1 = -3.33333333333331316428e-02, /* BFA11111 111110F4 */
+Q2 = 1.58730158725481460165e-03, /* 3F5A01A0 19FE5585 */
+Q3 = -7.93650757867487942473e-05, /* BF14CE19 9EAADBB7 */
+Q4 = 4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */
+Q5 = -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;
+ 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;
+ r1 = one+hxs*(Q1+hxs*(Q2+hxs*(Q3+hxs*(Q4+hxs*Q5))));
+ 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)
diff --git a/sysdeps/libm-ieee754/s_expm1f.c b/sysdeps/libm-ieee754/s_expm1f.c
new file mode 100644
index 0000000..d158c9a
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_expm1f.c
@@ -0,0 +1,134 @@
+/* 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/libm-ieee754/s_fabs.c b/sysdeps/libm-ieee754/s_fabs.c
new file mode 100644
index 0000000..1b9437c
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_fabs.c
@@ -0,0 +1,36 @@
+/* @(#)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 $";
+#endif
+
+/*
+ * fabs(x) returns the absolute value of x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __fabs(double x)
+#else
+ double __fabs(x)
+ double x;
+#endif
+{
+ u_int32_t high;
+ GET_HIGH_WORD(high,x);
+ SET_HIGH_WORD(x,high&0x7fffffff);
+ return x;
+}
+weak_alias (__fabs, fabs)
diff --git a/sysdeps/libm-ieee754/s_fabsf.c b/sysdeps/libm-ieee754/s_fabsf.c
new file mode 100644
index 0000000..6b14513
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_fabsf.c
@@ -0,0 +1,39 @@
+/* s_fabsf.c -- float version of s_fabs.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_fabsf.c,v 1.4 1995/05/10 20:47:15 jtc Exp $";
+#endif
+
+/*
+ * fabsf(x) returns the absolute value of x.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __fabsf(float x)
+#else
+ float __fabsf(x)
+ float x;
+#endif
+{
+ u_int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ SET_FLOAT_WORD(x,ix&0x7fffffff);
+ return x;
+}
+weak_alias (__fabsf, fabsf)
diff --git a/sysdeps/libm-ieee754/s_finite.c b/sysdeps/libm-ieee754/s_finite.c
new file mode 100644
index 0000000..c2c4285
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_finite.c
@@ -0,0 +1,36 @@
+/* @(#)s_finite.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_finite.c,v 1.8 1995/05/10 20:47:17 jtc Exp $";
+#endif
+
+/*
+ * finite(x) returns 1 is x is finite, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __finite(double x)
+#else
+ int __finite(x)
+ double x;
+#endif
+{
+ int32_t hx;
+ GET_HIGH_WORD(hx,x);
+ return (int)((u_int32_t)((hx&0x7fffffff)-0x7ff00000)>>31);
+}
+weak_alias (__finite, finite)
diff --git a/sysdeps/libm-ieee754/s_finitef.c b/sysdeps/libm-ieee754/s_finitef.c
new file mode 100644
index 0000000..baafc31
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_finitef.c
@@ -0,0 +1,39 @@
+/* s_finitef.c -- float version of s_finite.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_finitef.c,v 1.4 1995/05/10 20:47:18 jtc Exp $";
+#endif
+
+/*
+ * finitef(x) returns 1 is x is finite, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __finitef(float x)
+#else
+ int __finitef(x)
+ float x;
+#endif
+{
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ return (int)((u_int32_t)((ix&0x7fffffff)-0x7f800000)>>31);
+}
+weak_alias (__finitef, finitef)
diff --git a/sysdeps/libm-ieee754/s_floor.c b/sysdeps/libm-ieee754/s_floor.c
new file mode 100644
index 0000000..4dabc77
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_floor.c
@@ -0,0 +1,82 @@
+/* @(#)s_floor.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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)
diff --git a/sysdeps/libm-ieee754/s_floorf.c b/sysdeps/libm-ieee754/s_floorf.c
new file mode 100644
index 0000000..e8822b0
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+/*
+ * floorf(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to floorf(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float huge = 1.0e30;
+#else
+static float huge = 1.0e30;
+#endif
+
+#ifdef __STDC__
+ float __floorf(float x)
+#else
+ float __floorf(x)
+ float x;
+#endif
+{
+ int32_t i0,j0;
+ u_int32_t i;
+ GET_FLOAT_WORD(i0,x);
+ j0 = ((i0>>23)&0xff)-0x7f;
+ if(j0<23) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>(float)0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0>=0) {i0=0;}
+ else if((i0&0x7fffffff)!=0)
+ { i0=0xbf800000;}
+ }
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) return x; /* x is integral */
+ if(huge+x>(float)0.0) { /* raise inexact flag */
+ if(i0<0) i0 += (0x00800000)>>j0;
+ i0 &= (~i);
+ }
+ }
+ } else {
+ if(j0==0x80) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ }
+ SET_FLOAT_WORD(x,i0);
+ return x;
+}
+weak_alias (__floorf, floorf)
diff --git a/sysdeps/libm-ieee754/s_frexp.c b/sysdeps/libm-ieee754/s_frexp.c
new file mode 100644
index 0000000..1f3bfce
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_frexp.c
@@ -0,0 +1,60 @@
+/* @(#)s_frexp.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_frexp.c,v 1.9 1995/05/10 20:47:24 jtc Exp $";
+#endif
+
+/*
+ * for non-zero x
+ * x = frexp(arg,&exp);
+ * return a double fp quantity x such that 0.5 <= |x| <1.0
+ * and the corresponding binary exponent "exp". That is
+ * arg = x*2^exp.
+ * If arg is inf, 0.0, or NaN, then frexp(arg,&exp) returns arg
+ * with *exp=0.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+two54 = 1.80143985094819840000e+16; /* 0x43500000, 0x00000000 */
+
+#ifdef __STDC__
+ double __frexp(double x, int *eptr)
+#else
+ double __frexp(x, eptr)
+ double x; int *eptr;
+#endif
+{
+ int32_t hx, ix, lx;
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ *eptr = 0;
+ if(ix>=0x7ff00000||((ix|lx)==0)) return x; /* 0,inf,nan */
+ if (ix<0x00100000) { /* subnormal */
+ x *= two54;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ *eptr = -54;
+ }
+ *eptr += (ix>>20)-1022;
+ hx = (hx&0x800fffff)|0x3fe00000;
+ SET_HIGH_WORD(x,hx);
+ return x;
+}
+weak_alias (__frexp, frexp)
diff --git a/sysdeps/libm-ieee754/s_frexpf.c b/sysdeps/libm-ieee754/s_frexpf.c
new file mode 100644
index 0000000..a984457
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_frexpf.c
@@ -0,0 +1,53 @@
+/* s_frexpf.c -- float version of s_frexp.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_frexpf.c,v 1.5 1995/05/10 20:47:26 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+two25 = 3.3554432000e+07; /* 0x4c000000 */
+
+#ifdef __STDC__
+ float __frexpf(float x, int *eptr)
+#else
+ float __frexpf(x, eptr)
+ float x; int *eptr;
+#endif
+{
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ *eptr = 0;
+ if(ix>=0x7f800000||(ix==0)) return x; /* 0,inf,nan */
+ if (ix<0x00800000) { /* subnormal */
+ x *= two25;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ *eptr = -25;
+ }
+ *eptr += (ix>>23)-126;
+ hx = (hx&0x807fffff)|0x3f000000;
+ *(int*)&x = hx;
+ return x;
+}
+weak_alias (__frexpf, frexpf)
diff --git a/sysdeps/libm-ieee754/s_ilogb.c b/sysdeps/libm-ieee754/s_ilogb.c
new file mode 100644
index 0000000..9cdcdb7
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_ilogb.c
@@ -0,0 +1,52 @@
+/* @(#)s_ilogb.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_ilogb.c,v 1.9 1995/05/10 20:47:28 jtc Exp $";
+#endif
+
+/* ilogb(double x)
+ * return the binary exponent of non-zero x
+ * ilogb(0) = 0x80000001
+ * ilogb(inf/NaN) = 0x7fffffff (no signal is raised)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __ilogb(double x)
+#else
+ int __ilogb(x)
+ double x;
+#endif
+{
+ int32_t hx,lx,ix;
+
+ GET_HIGH_WORD(hx,x);
+ hx &= 0x7fffffff;
+ if(hx<0x00100000) {
+ GET_LOW_WORD(lx,x);
+ if((hx|lx)==0)
+ return 0x80000001; /* ilogb(0) = 0x80000001 */
+ else /* subnormal x */
+ if(hx==0) {
+ for (ix = -1043; lx>0; lx<<=1) ix -=1;
+ } else {
+ for (ix = -1022,hx<<=11; hx>0; hx<<=1) ix -=1;
+ }
+ return ix;
+ }
+ else if (hx<0x7ff00000) return (hx>>20)-1023;
+ else return 0x7fffffff;
+}
+weak_alias (__ilogb, ilogb)
diff --git a/sysdeps/libm-ieee754/s_ilogbf.c b/sysdeps/libm-ieee754/s_ilogbf.c
new file mode 100644
index 0000000..2440803
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_ilogbf.c
@@ -0,0 +1,44 @@
+/* s_ilogbf.c -- float version of s_ilogb.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_ilogbf.c,v 1.4 1995/05/10 20:47:31 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __ilogbf(float x)
+#else
+ int __ilogbf(x)
+ float x;
+#endif
+{
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ hx &= 0x7fffffff;
+ if(hx<0x00800000) {
+ if(hx==0)
+ return 0x80000001; /* ilogb(0) = 0x80000001 */
+ else /* subnormal x */
+ for (ix = -126,hx<<=8; hx>0; hx<<=1) ix -=1;
+ return ix;
+ }
+ else if (hx<0x7f800000) return (hx>>23)-127;
+ else return 0x7fffffff;
+}
+weak_alias (__ilogbf, ilogbf)
diff --git a/sysdeps/libm-ieee754/s_isinf.c b/sysdeps/libm-ieee754/s_isinf.c
new file mode 100644
index 0000000..a54d97c
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_isinf.c
@@ -0,0 +1,32 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_isinf.c,v 1.3 1995/05/11 23:20:14 jtc Exp $";
+#endif
+
+/*
+ * isinf(x) returns 1 is x is inf, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __isinf(double x)
+#else
+ int __isinf(x)
+ double x;
+#endif
+{
+ int32_t hx,lx;
+ EXTRACT_WORDS(hx,lx,x);
+ hx &= 0x7fffffff;
+ hx ^= 0x7ff00000;
+ hx |= lx;
+ return (hx == 0);
+}
+weak_alias (__isinf, isinf)
diff --git a/sysdeps/libm-ieee754/s_isinff.c b/sysdeps/libm-ieee754/s_isinff.c
new file mode 100644
index 0000000..1d81f15
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_isinff.c
@@ -0,0 +1,31 @@
+/*
+ * Written by J.T. Conklin <jtc@netbsd.org>.
+ * Public domain.
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_isinff.c,v 1.3 1995/05/11 23:20:21 jtc Exp $";
+#endif
+
+/*
+ * isinff(x) returns 1 is x is inf, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __isinff(float x)
+#else
+ int __isinff(x)
+ float x;
+#endif
+{
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ ix ^= 0x7f800000;
+ return (ix == 0);
+}
+weak_alias (__isinff, isinff)
diff --git a/sysdeps/libm-ieee754/s_isnan.c b/sysdeps/libm-ieee754/s_isnan.c
new file mode 100644
index 0000000..2609a51
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_isnan.c
@@ -0,0 +1,39 @@
+/* @(#)s_isnan.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_isnan.c,v 1.8 1995/05/10 20:47:36 jtc Exp $";
+#endif
+
+/*
+ * isnan(x) returns 1 is x is nan, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __isnan(double x)
+#else
+ int __isnan(x)
+ double x;
+#endif
+{
+ int32_t hx,lx;
+ EXTRACT_WORDS(hx,lx,x);
+ hx &= 0x7fffffff;
+ hx |= (u_int32_t)(lx|(-lx))>>31;
+ hx = 0x7ff00000 - hx;
+ return (int)((u_int32_t)(hx))>>31;
+}
+weak_alias (__isnan, isnan)
diff --git a/sysdeps/libm-ieee754/s_isnanf.c b/sysdeps/libm-ieee754/s_isnanf.c
new file mode 100644
index 0000000..9ec412f
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_isnanf.c
@@ -0,0 +1,41 @@
+/* s_isnanf.c -- float version of s_isnan.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_isnanf.c,v 1.4 1995/05/10 20:47:38 jtc Exp $";
+#endif
+
+/*
+ * isnanf(x) returns 1 is x is nan, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __isnanf(float x)
+#else
+ int __isnanf(x)
+ float x;
+#endif
+{
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ ix = 0x7f800000 - ix;
+ return (int)(((u_int32_t)(ix))>>31);
+}
+weak_alias (__isnanf, isnanf)
diff --git a/sysdeps/libm-ieee754/s_ldexp.c b/sysdeps/libm-ieee754/s_ldexp.c
new file mode 100644
index 0000000..754fef6
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_ldexp.c
@@ -0,0 +1,33 @@
+/* @(#)s_ldexp.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_ldexp.c,v 1.6 1995/05/10 20:47:40 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+#include <errno.h>
+
+#ifdef __STDC__
+ double __ldexp(double value, int exp)
+#else
+ double __ldexp(value, exp)
+ double value; int exp;
+#endif
+{
+ if(!__finite(value)||value==0.0) return value;
+ value = __scalbn(value,exp);
+ if(!__finite(value)||value==0.0) errno = ERANGE;
+ return value;
+}
+weak_alias (__ldexp, ldexp)
diff --git a/sysdeps/libm-ieee754/s_ldexpf.c b/sysdeps/libm-ieee754/s_ldexpf.c
new file mode 100644
index 0000000..d047677
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_ldexpf.c
@@ -0,0 +1,36 @@
+/* s_ldexpf.c -- float version of s_ldexp.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_ldexpf.c,v 1.3 1995/05/10 20:47:42 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+#include <errno.h>
+
+#ifdef __STDC__
+ float __ldexpf(float value, int exp)
+#else
+ float __ldexpf(value, exp)
+ float value; int exp;
+#endif
+{
+ if(!__finitef(value)||value==(float)0.0) return value;
+ value = __scalbnf(value,exp);
+ if(!__finitef(value)||value==(float)0.0) errno = ERANGE;
+ return value;
+}
+weak_alias (__ldexpf, ldexpf)
diff --git a/sysdeps/libm-ieee754/s_lib_version.c b/sysdeps/libm-ieee754/s_lib_version.c
new file mode 100644
index 0000000..121bdaa
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_lib_version.c
@@ -0,0 +1,40 @@
+/* @(#)s_lib_ver.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_lib_version.c,v 1.6 1995/05/10 20:47:44 jtc Exp $";
+#endif
+
+/*
+ * MACRO for standards
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * define and initialize _LIB_VERSION
+ */
+#ifdef _POSIX_MODE
+_LIB_VERSION_TYPE _LIB_VERSION = _POSIX_;
+#else
+#ifdef _XOPEN_MODE
+_LIB_VERSION_TYPE _LIB_VERSION = _XOPEN_;
+#else
+#ifdef _SVID3_MODE
+_LIB_VERSION_TYPE _LIB_VERSION = _SVID_;
+#else /* default _IEEE_MODE */
+_LIB_VERSION_TYPE _LIB_VERSION = _IEEE_;
+#endif
+#endif
+#endif
+
diff --git a/sysdeps/libm-ieee754/s_log1p.c b/sysdeps/libm-ieee754/s_log1p.c
new file mode 100644
index 0000000..1e58ccb
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_log1p.c
@@ -0,0 +1,174 @@
+/* @(#)s_log1p.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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 */
+Lp1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */
+Lp2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */
+Lp3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */
+Lp4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */
+Lp5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */
+Lp6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */
+Lp7 = 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;
+ 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/zero; /* 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;
+ 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 (__log1p, log1p)
diff --git a/sysdeps/libm-ieee754/s_log1pf.c b/sysdeps/libm-ieee754/s_log1pf.c
new file mode 100644
index 0000000..ee0a839
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_log1pf.c
@@ -0,0 +1,113 @@
+/* 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/zero; /* 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/libm-ieee754/s_logb.c b/sysdeps/libm-ieee754/s_logb.c
new file mode 100644
index 0000000..4fd43fc
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_logb.c
@@ -0,0 +1,43 @@
+/* @(#)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 $";
+#endif
+
+/*
+ * double logb(x)
+ * IEEE 754 logb. Included to pass IEEE test suite. Not recommend.
+ * Use ilogb instead.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __logb(double x)
+#else
+ double __logb(x)
+ double x;
+#endif
+{
+ int32_t lx,ix;
+ EXTRACT_WORDS(ix,lx,x);
+ ix &= 0x7fffffff; /* high |x| */
+ if((ix|lx)==0) return -1.0/fabs(x);
+ if(ix>=0x7ff00000) return x*x;
+ if((ix>>=20)==0) /* IEEE 754 logb */
+ return -1022.0;
+ else
+ return (double) (ix-1023);
+}
+weak_alias (__logb, logb)
diff --git a/sysdeps/libm-ieee754/s_logbf.c b/sysdeps/libm-ieee754/s_logbf.c
new file mode 100644
index 0000000..ade892a
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_logbf.c
@@ -0,0 +1,40 @@
+/* s_logbf.c -- float version of s_logb.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_logbf.c,v 1.4 1995/05/10 20:47:51 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __logbf(float x)
+#else
+ float __logbf(x)
+ float x;
+#endif
+{
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff; /* high |x| */
+ if(ix==0) return (float)-1.0/fabsf(x);
+ if(ix>=0x7f800000) return x*x;
+ if((ix>>=23)==0) /* IEEE 754 logb */
+ return -126.0;
+ else
+ return (float) (ix-127);
+}
+weak_alias (__logbf, logbf)
diff --git a/sysdeps/libm-ieee754/s_matherr.c b/sysdeps/libm-ieee754/s_matherr.c
new file mode 100644
index 0000000..94103bc
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_matherr.c
@@ -0,0 +1,31 @@
+/* @(#)s_matherr.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_matherr.c,v 1.6 1995/05/10 20:47:53 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ int __matherr(struct exception *x)
+#else
+ int __matherr(x)
+ struct exception *x;
+#endif
+{
+ int n=0;
+ if(x->arg1!=x->arg1) return 0;
+ return n;
+}
+weak_alias (__matherr, matherr)
diff --git a/sysdeps/libm-ieee754/s_modf.c b/sysdeps/libm-ieee754/s_modf.c
new file mode 100644
index 0000000..8e09128
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_modf.c
@@ -0,0 +1,84 @@
+/* @(#)s_modf.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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 */
+ u_int32_t high;
+ *iptr = x;
+ GET_HIGH_WORD(high,x);
+ INSERT_WORDS(x,high&0x80000000,0); /* return +-0 */
+ return x;
+ } else {
+ INSERT_WORDS(*iptr,i0&(~i),0);
+ return x - *iptr;
+ }
+ }
+ } else if (j0>51) { /* no fraction part */
+ u_int32_t high;
+ *iptr = x*one;
+ GET_HIGH_WORD(high,x);
+ INSERT_WORDS(x,high&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 */
+ u_int32_t high;
+ *iptr = x;
+ GET_HIGH_WORD(high,x);
+ INSERT_WORDS(x,high&0x80000000,0); /* return +-0 */
+ return x;
+ } else {
+ INSERT_WORDS(*iptr,i0,i1&(~i));
+ return x - *iptr;
+ }
+ }
+}
+weak_alias (__modf, modf)
diff --git a/sysdeps/libm-ieee754/s_modff.c b/sysdeps/libm-ieee754/s_modff.c
new file mode 100644
index 0000000..85f22c1
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_modff.c
@@ -0,0 +1,65 @@
+/* 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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one = 1.0;
+#else
+static float one = 1.0;
+#endif
+
+#ifdef __STDC__
+ float __modff(float x, float *iptr)
+#else
+ float __modff(x, iptr)
+ float x,*iptr;
+#endif
+{
+ int32_t i0,j0;
+ u_int32_t i;
+ GET_FLOAT_WORD(i0,x);
+ j0 = ((i0>>23)&0xff)-0x7f; /* exponent of x */
+ if(j0<23) { /* integer part in x */
+ if(j0<0) { /* |x|<1 */
+ SET_FLOAT_WORD(*iptr,i0&0x80000000); /* *iptr = +-0 */
+ return x;
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) { /* x is integral */
+ u_int32_t ix;
+ *iptr = x;
+ GET_FLOAT_WORD(ix,x);
+ SET_FLOAT_WORD(x,ix&0x80000000); /* return +-0 */
+ return x;
+ } else {
+ SET_FLOAT_WORD(*iptr,i0&(~i));
+ return x - *iptr;
+ }
+ }
+ } else { /* no fraction part */
+ u_int32_t ix;
+ *iptr = x*one;
+ GET_FLOAT_WORD(ix,x);
+ SET_FLOAT_WORD(x,ix&0x80000000); /* return +-0 */
+ return x;
+ }
+}
+weak_alias (__modff, modff)
diff --git a/sysdeps/libm-ieee754/s_nextafter.c b/sysdeps/libm-ieee754/s_nextafter.c
new file mode 100644
index 0000000..359ed8c
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_nextafter.c
@@ -0,0 +1,80 @@
+/* @(#)s_nextafter.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_nextafter.c,v 1.8 1995/05/10 20:47:58 jtc Exp $";
+#endif
+
+/* IEEE functions
+ * nextafter(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 __nextafter(double x, double y)
+#else
+ double __nextafter(x,y)
+ double x,y;
+#endif
+{
+ int32_t hx,hy,ix,iy;
+ u_int32_t lx,ly;
+
+ EXTRACT_WORDS(hx,lx,x);
+ EXTRACT_WORDS(hy,ly,y);
+ ix = hx&0x7fffffff; /* |x| */
+ iy = hy&0x7fffffff; /* |y| */
+
+ if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || /* x is nan */
+ ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0)) /* y is nan */
+ return x+y;
+ if(x==y) return x; /* x=y, return x */
+ if((ix|lx)==0) { /* x == 0 */
+ INSERT_WORDS(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||((hx==hy)&&(lx>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(hy>=0||hx>hy||((hx==hy)&&(lx>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 */
+ y = x*x;
+ if(y!=x) { /* raise underflow flag */
+ INSERT_WORDS(y,hx,lx);
+ return y;
+ }
+ }
+ INSERT_WORDS(x,hx,lx);
+ return x;
+}
+weak_alias (__nextafter, nextafter)
diff --git a/sysdeps/libm-ieee754/s_nextafterf.c b/sysdeps/libm-ieee754/s_nextafterf.c
new file mode 100644
index 0000000..bc8d042
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __nextafterf(float x, float y)
+#else
+ float __nextafterf(x,y)
+ float x,y;
+#endif
+{
+ int32_t hx,hy,ix,iy;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hy,y);
+ ix = hx&0x7fffffff; /* |x| */
+ iy = hy&0x7fffffff; /* |y| */
+
+ if((ix>0x7f800000) || /* x is nan */
+ (iy>0x7f800000)) /* y is nan */
+ return x+y;
+ if(x==y) return x; /* x=y, return x */
+ if(ix==0) { /* x == 0 */
+ SET_FLOAT_WORD(x,(hy&0x80000000)|1);/* return +-minsubnormal */
+ y = x*x;
+ if(y==x) return y; else return x; /* raise underflow flag */
+ }
+ if(hx>=0) { /* x > 0 */
+ if(hx>hy) { /* x > y, x -= ulp */
+ hx -= 1;
+ } else { /* x < y, x += ulp */
+ hx += 1;
+ }
+ } else { /* x < 0 */
+ if(hy>=0||hx>hy){ /* x < y, x -= ulp */
+ hx -= 1;
+ } else { /* x > y, x += ulp */
+ hx += 1;
+ }
+ }
+ hy = hx&0x7f800000;
+ if(hy>=0x7f800000) return x+x; /* overflow */
+ if(hy<0x00800000) { /* underflow */
+ y = x*x;
+ if(y!=x) { /* raise underflow flag */
+ SET_FLOAT_WORD(y,hx);
+ return y;
+ }
+ }
+ SET_FLOAT_WORD(x,hx);
+ return x;
+}
+weak_alias (__nextafterf, nextafterf)
diff --git a/sysdeps/libm-ieee754/s_rint.c b/sysdeps/libm-ieee754/s_rint.c
new file mode 100644
index 0000000..e24feaf
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_rint.c
@@ -0,0 +1,87 @@
+/* @(#)s_rint.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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)
diff --git a/sysdeps/libm-ieee754/s_rintf.c b/sysdeps/libm-ieee754/s_rintf.c
new file mode 100644
index 0000000..4e5b409
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+TWO23[2]={
+ 8.3886080000e+06, /* 0x4b000000 */
+ -8.3886080000e+06, /* 0xcb000000 */
+};
+
+#ifdef __STDC__
+ float __rintf(float x)
+#else
+ float __rintf(x)
+ float x;
+#endif
+{
+ int32_t i0,j0,sx;
+ u_int32_t i,i1;
+ float w,t;
+ GET_FLOAT_WORD(i0,x);
+ sx = (i0>>31)&1;
+ j0 = ((i0>>23)&0xff)-0x7f;
+ if(j0<23) {
+ if(j0<0) {
+ if((i0&0x7fffffff)==0) return x;
+ i1 = (i0&0x07fffff);
+ i0 &= 0xfff00000;
+ i0 |= ((i1|-i1)>>9)&0x400000;
+ SET_FLOAT_WORD(x,i0);
+ w = TWO23[sx]+x;
+ t = w-TWO23[sx];
+ GET_FLOAT_WORD(i0,t);
+ SET_FLOAT_WORD(t,(i0&0x7fffffff)|(sx<<31));
+ return t;
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) return x; /* x is integral */
+ i>>=1;
+ if((i0&i)!=0) i0 = (i0&(~i))|((0x100000)>>j0);
+ }
+ } else {
+ if(j0==0x80) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ }
+ SET_FLOAT_WORD(x,i0);
+ w = TWO23[sx]+x;
+ return w-TWO23[sx];
+}
+weak_alias (__rintf, rintf)
diff --git a/sysdeps/libm-ieee754/s_scalbn.c b/sysdeps/libm-ieee754/s_scalbn.c
new file mode 100644
index 0000000..835f00e
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_scalbn.c
@@ -0,0 +1,67 @@
+/* @(#)s_scalbn.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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 (n< -50000) return tiny*x; /*underflow*/
+ }
+ if (k==0x7ff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (k > 0x7fe) return huge*copysign(huge,x); /* overflow */
+ if (k > 0) /* normal result */
+ {SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;}
+ if (k <= -54)
+ if (n > 50000) /* in case integer overflow in n+k */
+ return huge*copysign(huge,x); /*overflow*/
+ else 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)
diff --git a/sysdeps/libm-ieee754/s_scalbnf.c b/sysdeps/libm-ieee754/s_scalbnf.c
new file mode 100644
index 0000000..60aedf1
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 scalbn (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 (n< -50000) return tiny*x; /*underflow*/
+ }
+ if (k==0xff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (k > 0xfe) return huge*copysignf(huge,x); /* overflow */
+ if (k > 0) /* normal result */
+ {SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23)); return x;}
+ if (k <= -25)
+ if (n > 50000) /* in case integer overflow in n+k */
+ return huge*copysignf(huge,x); /*overflow*/
+ else 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/libm-ieee754/s_signgam.c b/sysdeps/libm-ieee754/s_signgam.c
new file mode 100644
index 0000000..d67d591
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_signgam.c
@@ -0,0 +1,3 @@
+#include "math.h"
+#include "math_private.h"
+int signgam = 0;
diff --git a/sysdeps/libm-ieee754/s_significand.c b/sysdeps/libm-ieee754/s_significand.c
new file mode 100644
index 0000000..72265d3
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_significand.c
@@ -0,0 +1,35 @@
+/* @(#)s_signif.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_significand.c,v 1.6 1995/05/10 20:48:11 jtc Exp $";
+#endif
+
+/*
+ * significand(x) computes just
+ * scalb(x, (double) -ilogb(x)),
+ * for exercising the fraction-part(F) IEEE 754-1985 test vector.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __significand(double x)
+#else
+ double __significand(x)
+ double x;
+#endif
+{
+ return __ieee754_scalb(x,(double) -ilogb(x));
+}
+weak_alias (__significand, significand)
diff --git a/sysdeps/libm-ieee754/s_significandf.c b/sysdeps/libm-ieee754/s_significandf.c
new file mode 100644
index 0000000..2893a4e
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_significandf.c
@@ -0,0 +1,32 @@
+/* s_significandf.c -- float version of s_significand.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: s_significandf.c,v 1.3 1995/05/10 20:48:13 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __significandf(float x)
+#else
+ float __significandf(x)
+ float x;
+#endif
+{
+ return __ieee754_scalbf(x,(float) -ilogbf(x));
+}
+weak_alias (__significandf, significandf)
diff --git a/sysdeps/libm-ieee754/s_sin.c b/sysdeps/libm-ieee754/s_sin.c
new file mode 100644
index 0000000..efcf774
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_sin.c
@@ -0,0 +1,83 @@
+/* @(#)s_sin.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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)
diff --git a/sysdeps/libm-ieee754/s_sinf.c b/sysdeps/libm-ieee754/s_sinf.c
new file mode 100644
index 0000000..76a7c21
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __sinf(float x)
+#else
+ float __sinf(x)
+ float x;
+#endif
+{
+ float y[2],z=0.0;
+ int32_t n, ix;
+
+ GET_FLOAT_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3f490fd8) return __kernel_sinf(x,z,0);
+
+ /* sin(Inf or NaN) is NaN */
+ else if (ix>=0x7f800000) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2f(x,y);
+ switch(n&3) {
+ case 0: return __kernel_sinf(y[0],y[1],1);
+ case 1: return __kernel_cosf(y[0],y[1]);
+ case 2: return -__kernel_sinf(y[0],y[1],1);
+ default:
+ return -__kernel_cosf(y[0],y[1]);
+ }
+ }
+}
+weak_alias (__sinf, sinf)
diff --git a/sysdeps/libm-ieee754/s_tan.c b/sysdeps/libm-ieee754/s_tan.c
new file mode 100644
index 0000000..dcd9d50
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_tan.c
@@ -0,0 +1,77 @@
+/* @(#)s_tan.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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)
diff --git a/sysdeps/libm-ieee754/s_tanf.c b/sysdeps/libm-ieee754/s_tanf.c
new file mode 100644
index 0000000..e8f6016
--- /dev/null
+++ b/sysdeps/libm-ieee754/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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __tanf(float x)
+#else
+ float __tanf(x)
+ float x;
+#endif
+{
+ float y[2],z=0.0;
+ int32_t n, ix;
+
+ GET_FLOAT_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3f490fda) return __kernel_tanf(x,z,1);
+
+ /* tan(Inf or NaN) is NaN */
+ else if (ix>=0x7f800000) return x-x; /* NaN */
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2f(x,y);
+ return __kernel_tanf(y[0],y[1],1-((n&1)<<1)); /* 1 -- n even
+ -1 -- n odd */
+ }
+}
+weak_alias (__tanf, tanf)
diff --git a/sysdeps/libm-ieee754/s_tanh.c b/sysdeps/libm-ieee754/s_tanh.c
new file mode 100644
index 0000000..22d064b
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_tanh.c
@@ -0,0 +1,87 @@
+/* @(#)s_tanh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$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;
+
+ /* High word of |x|. */
+ GET_HIGH_WORD(jx,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<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)
diff --git a/sysdeps/libm-ieee754/s_tanhf.c b/sysdeps/libm-ieee754/s_tanhf.c
new file mode 100644
index 0000000..b989ef3
--- /dev/null
+++ b/sysdeps/libm-ieee754/s_tanhf.c
@@ -0,0 +1,65 @@
+/* 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 $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float one=1.0, two=2.0, tiny = 1.0e-30;
+#else
+static float one=1.0, two=2.0, tiny = 1.0e-30;
+#endif
+
+#ifdef __STDC__
+ float __tanhf(float x)
+#else
+ float __tanhf(x)
+ float x;
+#endif
+{
+ float t,z;
+ int32_t jx,ix;
+
+ GET_FLOAT_WORD(jx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7f800000) {
+ if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */
+ else return one/x-one; /* tanh(NaN) = NaN */
+ }
+
+ /* |x| < 22 */
+ if (ix < 0x41b00000) { /* |x|<22 */
+ if (ix<0x24000000) /* |x|<2**-55 */
+ return x*(one+x); /* tanh(small) = small */
+ if (ix>=0x3f800000) { /* |x|>=1 */
+ t = __expm1f(two*fabsf(x));
+ z = one - two/(t+two);
+ } else {
+ t = __expm1f(-two*fabsf(x));
+ z= -t/(t+two);
+ }
+ /* |x| > 22, return +-1 */
+ } else {
+ z = one - tiny; /* raised inexact flag */
+ }
+ return (jx>=0)? z: -z;
+}
+weak_alias (__tanhf, tanhf)
diff --git a/sysdeps/libm-ieee754/w_acos.c b/sysdeps/libm-ieee754/w_acos.c
new file mode 100644
index 0000000..d60d1c3
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_acos.c
@@ -0,0 +1,44 @@
+/* @(#)w_acos.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_acos.c,v 1.6 1995/05/10 20:48:26 jtc Exp $";
+#endif
+
+/*
+ * wrap_acos(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double __acos(double x) /* wrapper acos */
+#else
+ double __acos(x) /* wrapper acos */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_acos(x);
+#else
+ double z;
+ z = __ieee754_acos(x);
+ if(_LIB_VERSION == _IEEE_ || __isnan(x)) return z;
+ if(fabs(x)>1.0) {
+ return __kernel_standard(x,x,1); /* acos(|x|>1) */
+ } else
+ return z;
+#endif
+}
+weak_alias (__acos, acos)
diff --git a/sysdeps/libm-ieee754/w_acosf.c b/sysdeps/libm-ieee754/w_acosf.c
new file mode 100644
index 0000000..28260dd
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_acosf.c
@@ -0,0 +1,48 @@
+/* w_acosf.c -- float version of w_acos.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_acosf.c,v 1.3 1995/05/10 20:48:29 jtc Exp $";
+#endif
+
+/*
+ * wrap_acosf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float __acosf(float x) /* wrapper acosf */
+#else
+ float __acosf(x) /* wrapper acosf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_acosf(x);
+#else
+ float z;
+ z = __ieee754_acosf(x);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(x)) return z;
+ if(fabsf(x)>(float)1.0) {
+ /* acosf(|x|>1) */
+ return (float)__kernel_standard((double)x,(double)x,101);
+ } else
+ return z;
+#endif
+}
+weak_alias (__acosf, acosf)
diff --git a/sysdeps/libm-ieee754/w_acosh.c b/sysdeps/libm-ieee754/w_acosh.c
new file mode 100644
index 0000000..46f9cf9
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_acosh.c
@@ -0,0 +1,43 @@
+/* @(#)w_acosh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_acosh.c,v 1.6 1995/05/10 20:48:31 jtc Exp $";
+#endif
+
+/*
+ * wrapper acosh(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __acosh(double x) /* wrapper acosh */
+#else
+ double __acosh(x) /* wrapper acosh */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_acosh(x);
+#else
+ double z;
+ z = __ieee754_acosh(x);
+ if(_LIB_VERSION == _IEEE_ || __isnan(x)) return z;
+ if(x<1.0) {
+ return __kernel_standard(x,x,29); /* acosh(x<1) */
+ } else
+ return z;
+#endif
+}
+weak_alias (__acosh, acosh)
diff --git a/sysdeps/libm-ieee754/w_acoshf.c b/sysdeps/libm-ieee754/w_acoshf.c
new file mode 100644
index 0000000..f701983
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_acoshf.c
@@ -0,0 +1,48 @@
+/* w_acoshf.c -- float version of w_acosh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_acoshf.c,v 1.3 1995/05/10 20:48:33 jtc Exp $";
+#endif
+
+/*
+ * wrapper acoshf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __acoshf(float x) /* wrapper acoshf */
+#else
+ float __acoshf(x) /* wrapper acoshf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_acoshf(x);
+#else
+ float z;
+ z = __ieee754_acoshf(x);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(x)) return z;
+ if(x<(float)1.0) {
+ /* acosh(x<1) */
+ return (float)__kernel_standard((double)x,(double)x,129);
+ } else
+ return z;
+#endif
+}
+weak_alias (__acoshf, acoshf)
diff --git a/sysdeps/libm-ieee754/w_asin.c b/sysdeps/libm-ieee754/w_asin.c
new file mode 100644
index 0000000..529dd59
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_asin.c
@@ -0,0 +1,45 @@
+/* @(#)w_asin.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_asin.c,v 1.6 1995/05/10 20:48:35 jtc Exp $";
+#endif
+
+/*
+ * wrapper asin(x)
+ */
+
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double __asin(double x) /* wrapper asin */
+#else
+ double __asin(x) /* wrapper asin */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_asin(x);
+#else
+ double z;
+ z = __ieee754_asin(x);
+ if(_LIB_VERSION == _IEEE_ || __isnan(x)) return z;
+ if(fabs(x)>1.0) {
+ return __kernel_standard(x,x,2); /* asin(|x|>1) */
+ } else
+ return z;
+#endif
+}
+weak_alias (__asin, asin)
diff --git a/sysdeps/libm-ieee754/w_asinf.c b/sysdeps/libm-ieee754/w_asinf.c
new file mode 100644
index 0000000..d7f7a25
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_asinf.c
@@ -0,0 +1,49 @@
+/* w_asinf.c -- float version of w_asin.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_asinf.c,v 1.3 1995/05/10 20:48:37 jtc Exp $";
+#endif
+
+/*
+ * wrapper asinf(x)
+ */
+
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float __asinf(float x) /* wrapper asinf */
+#else
+ float __asinf(x) /* wrapper asinf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_asinf(x);
+#else
+ float z;
+ z = __ieee754_asinf(x);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(x)) return z;
+ if(fabsf(x)>(float)1.0) {
+ /* asinf(|x|>1) */
+ return (float)__kernel_standard((double)x,(double)x,102);
+ } else
+ return z;
+#endif
+}
+weak_alias (__asinf, asinf)
diff --git a/sysdeps/libm-ieee754/w_atan2.c b/sysdeps/libm-ieee754/w_atan2.c
new file mode 100644
index 0000000..abfe64a
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_atan2.c
@@ -0,0 +1,44 @@
+/* @(#)w_atan2.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_atan2.c,v 1.6 1995/05/10 20:48:39 jtc Exp $";
+#endif
+
+/*
+ * wrapper atan2(y,x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double __atan2(double y, double x) /* wrapper atan2 */
+#else
+ double __atan2(y,x) /* wrapper atan2 */
+ double y,x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_atan2(y,x);
+#else
+ double z;
+ z = __ieee754_atan2(y,x);
+ if(_LIB_VERSION == _IEEE_||__isnan(x)||__isnan(y)) return z;
+ if(x==0.0&&y==0.0) {
+ return __kernel_standard(y,x,3); /* atan2(+-0,+-0) */
+ } else
+ return z;
+#endif
+}
+weak_alias (__atan2, atan2)
diff --git a/sysdeps/libm-ieee754/w_atan2f.c b/sysdeps/libm-ieee754/w_atan2f.c
new file mode 100644
index 0000000..4d67638
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_atan2f.c
@@ -0,0 +1,48 @@
+/* w_atan2f.c -- float version of w_atan2.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_atan2f.c,v 1.3 1995/05/10 20:48:42 jtc Exp $";
+#endif
+
+/*
+ * wrapper atan2f(y,x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float __atan2f(float y, float x) /* wrapper atan2f */
+#else
+ float __atan2f(y,x) /* wrapper atan2 */
+ float y,x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_atan2f(y,x);
+#else
+ float z;
+ z = __ieee754_atan2f(y,x);
+ if(_LIB_VERSION == _IEEE_||__isnanf(x)||__isnanf(y)) return z;
+ if(x==(float)0.0&&y==(float)0.0) {
+ /* atan2f(+-0,+-0) */
+ return (float)__kernel_standard((double)y,(double)x,103);
+ } else
+ return z;
+#endif
+}
+weak_alias (__atan2f, atan2f)
diff --git a/sysdeps/libm-ieee754/w_atanh.c b/sysdeps/libm-ieee754/w_atanh.c
new file mode 100644
index 0000000..43f5ff7
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_atanh.c
@@ -0,0 +1,48 @@
+/* @(#)w_atanh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_atanh.c,v 1.6 1995/05/10 20:48:43 jtc Exp $";
+#endif
+
+/*
+ * wrapper atanh(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double __atanh(double x) /* wrapper atanh */
+#else
+ double __atanh(x) /* wrapper atanh */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_atanh(x);
+#else
+ double z,y;
+ z = __ieee754_atanh(x);
+ if(_LIB_VERSION == _IEEE_ || __isnan(x)) return z;
+ y = fabs(x);
+ if(y>=1.0) {
+ if(y>1.0)
+ return __kernel_standard(x,x,30); /* atanh(|x|>1) */
+ else
+ return __kernel_standard(x,x,31); /* atanh(|x|==1) */
+ } else
+ return z;
+#endif
+}
+weak_alias (__atanh, atanh)
diff --git a/sysdeps/libm-ieee754/w_atanhf.c b/sysdeps/libm-ieee754/w_atanhf.c
new file mode 100644
index 0000000..0b24f2c
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_atanhf.c
@@ -0,0 +1,53 @@
+/* w_atanhf.c -- float version of w_atanh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_atanhf.c,v 1.3 1995/05/10 20:48:45 jtc Exp $";
+#endif
+
+/*
+ * wrapper atanhf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float __atanhf(float x) /* wrapper atanhf */
+#else
+ float __atanhf(x) /* wrapper atanhf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_atanhf(x);
+#else
+ float z,y;
+ z = __ieee754_atanhf(x);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(x)) return z;
+ y = fabsf(x);
+ if(y>=(float)1.0) {
+ if(y>(float)1.0)
+ /* atanhf(|x|>1) */
+ return (float)__kernel_standard((double)x,(double)x,130);
+ else
+ /* atanhf(|x|==1) */
+ return (float)__kernel_standard((double)x,(double)x,131);
+ } else
+ return z;
+#endif
+}
+weak_alias (__atanhf, atanhf)
diff --git a/sysdeps/libm-ieee754/w_cabs.c b/sysdeps/libm-ieee754/w_cabs.c
new file mode 100644
index 0000000..ccacf67
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_cabs.c
@@ -0,0 +1,16 @@
+/*
+ * cabs() wrapper for hypot().
+ *
+ * Written by J.T. Conklin, <jtc@wimsey.com>
+ * Placed into the Public Domain, 1994.
+ */
+
+#include <math.h>
+
+double
+__cabs(z)
+ struct __cabs_complex z;
+{
+ return __hypot(z.x, z.y);
+}
+weak_alias (__cabs, cabs)
diff --git a/sysdeps/libm-ieee754/w_cabsf.c b/sysdeps/libm-ieee754/w_cabsf.c
new file mode 100644
index 0000000..20ff5b7
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_cabsf.c
@@ -0,0 +1,17 @@
+/*
+ * cabsf() wrapper for hypotf().
+ *
+ * Written by J.T. Conklin, <jtc@wimsey.com>
+ * Placed into the Public Domain, 1994.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+float
+__cabsf(z)
+ struct __cabs_complexf z;
+{
+ return __hypotf(z.x, z.y);
+}
+weak_alias (__cabsf, cabsf)
diff --git a/sysdeps/libm-ieee754/w_cosh.c b/sysdeps/libm-ieee754/w_cosh.c
new file mode 100644
index 0000000..651dee1
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_cosh.c
@@ -0,0 +1,43 @@
+/* @(#)w_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: w_cosh.c,v 1.6 1995/05/10 20:48:47 jtc Exp $";
+#endif
+
+/*
+ * wrapper cosh(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __cosh(double x) /* wrapper cosh */
+#else
+ double __cosh(x) /* wrapper cosh */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_cosh(x);
+#else
+ double z;
+ z = __ieee754_cosh(x);
+ if(_LIB_VERSION == _IEEE_ || __isnan(x)) return z;
+ if(fabs(x)>7.10475860073943863426e+02) {
+ return __kernel_standard(x,x,5); /* cosh overflow */
+ } else
+ return z;
+#endif
+}
+weak_alias (__cosh, cosh)
diff --git a/sysdeps/libm-ieee754/w_coshf.c b/sysdeps/libm-ieee754/w_coshf.c
new file mode 100644
index 0000000..53ca841
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_coshf.c
@@ -0,0 +1,47 @@
+/* w_coshf.c -- float version of w_cosh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_coshf.c,v 1.3 1995/05/10 20:48:49 jtc Exp $";
+#endif
+
+/*
+ * wrapper coshf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __coshf(float x) /* wrapper coshf */
+#else
+ float __coshf(x) /* wrapper coshf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_coshf(x);
+#else
+ float z;
+ z = __ieee754_coshf(x);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(x)) return z;
+ if(fabsf(x)>(float)8.9415985107e+01) {
+ /* cosh overflow */
+ return (float)__kernel_standard((double)x,(double)x,105);
+ } else
+ return z;
+#endif
+}
+weak_alias (__coshf, coshf)
diff --git a/sysdeps/libm-ieee754/w_drem.c b/sysdeps/libm-ieee754/w_drem.c
new file mode 100644
index 0000000..203a7d1
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_drem.c
@@ -0,0 +1,16 @@
+/*
+ * drem() wrapper for remainder().
+ *
+ * Written by J.T. Conklin, <jtc@wimsey.com>
+ * Placed into the Public Domain, 1994.
+ */
+
+#include <math.h>
+
+double
+__drem(x, y)
+ double x, y;
+{
+ return __remainder(x, y);
+}
+weak_alias (__drem, drem)
diff --git a/sysdeps/libm-ieee754/w_dremf.c b/sysdeps/libm-ieee754/w_dremf.c
new file mode 100644
index 0000000..b740ea3
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_dremf.c
@@ -0,0 +1,17 @@
+/*
+ * dremf() wrapper for remainderf().
+ *
+ * Written by J.T. Conklin, <jtc@wimsey.com>
+ * Placed into the Public Domain, 1994.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+float
+__dremf(x, y)
+ float x, y;
+{
+ return __remainderf(x, y);
+}
+weak_alias (__dremf, dremf)
diff --git a/sysdeps/libm-ieee754/w_exp.c b/sysdeps/libm-ieee754/w_exp.c
new file mode 100644
index 0000000..cc39b90
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_exp.c
@@ -0,0 +1,54 @@
+/* @(#)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 $";
+#endif
+
+/*
+ * wrapper exp(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+o_threshold= 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */
+u_threshold= -7.45133219101941108420e+02; /* 0xc0874910, 0xD52D3051 */
+
+#ifdef __STDC__
+ double __exp(double x) /* wrapper exp */
+#else
+ double __exp(x) /* wrapper exp */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_exp(x);
+#else
+ double z;
+ z = __ieee754_exp(x);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(__finite(x)) {
+ if(x>o_threshold)
+ return __kernel_standard(x,x,6); /* exp overflow */
+ else if(x<u_threshold)
+ return __kernel_standard(x,x,7); /* exp underflow */
+ }
+ return z;
+#endif
+}
+weak_alias (__exp, exp)
diff --git a/sysdeps/libm-ieee754/w_expf.c b/sysdeps/libm-ieee754/w_expf.c
new file mode 100644
index 0000000..ad38fac
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_expf.c
@@ -0,0 +1,59 @@
+/* w_expf.c -- float version of w_exp.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_expf.c,v 1.3 1995/05/10 20:48:53 jtc Exp $";
+#endif
+
+/*
+ * wrapper expf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const float
+#else
+static float
+#endif
+o_threshold= 8.8721679688e+01, /* 0x42b17180 */
+u_threshold= -1.0397208405e+02; /* 0xc2cff1b5 */
+
+#ifdef __STDC__
+ float __expf(float x) /* wrapper expf */
+#else
+ float __expf(x) /* wrapper expf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_expf(x);
+#else
+ float z;
+ z = __ieee754_expf(x);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(__finitef(x)) {
+ if(x>o_threshold)
+ /* exp overflow */
+ return (float)__kernel_standard((double)x,(double)x,106);
+ else if(x<u_threshold)
+ /* exp underflow */
+ return (float)__kernel_standard((double)x,(double)x,107);
+ }
+ return z;
+#endif
+}
+weak_alias (__expf, expf)
diff --git a/sysdeps/libm-ieee754/w_fmod.c b/sysdeps/libm-ieee754/w_fmod.c
new file mode 100644
index 0000000..2102ba2
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_fmod.c
@@ -0,0 +1,44 @@
+/* @(#)w_fmod.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_fmod.c,v 1.6 1995/05/10 20:48:55 jtc Exp $";
+#endif
+
+/*
+ * wrapper fmod(x,y)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double __fmod(double x, double y) /* wrapper fmod */
+#else
+ double __fmod(x,y) /* wrapper fmod */
+ double x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_fmod(x,y);
+#else
+ double z;
+ z = __ieee754_fmod(x,y);
+ if(_LIB_VERSION == _IEEE_ ||__isnan(y)||__isnan(x)) return z;
+ if(y==0.0) {
+ return __kernel_standard(x,y,27); /* fmod(x,0) */
+ } else
+ return z;
+#endif
+}
+weak_alias (__fmod, fmod)
diff --git a/sysdeps/libm-ieee754/w_fmodf.c b/sysdeps/libm-ieee754/w_fmodf.c
new file mode 100644
index 0000000..9afe5dd
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_fmodf.c
@@ -0,0 +1,48 @@
+/* w_fmodf.c -- float version of w_fmod.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_fmodf.c,v 1.3 1995/05/10 20:48:57 jtc Exp $";
+#endif
+
+/*
+ * wrapper fmodf(x,y)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float __fmodf(float x, float y) /* wrapper fmodf */
+#else
+ float __fmodf(x,y) /* wrapper fmodf */
+ float x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_fmodf(x,y);
+#else
+ float z;
+ z = __ieee754_fmodf(x,y);
+ if(_LIB_VERSION == _IEEE_ ||__isnanf(y)||__isnanf(x)) return z;
+ if(y==(float)0.0) {
+ /* fmodf(x,0) */
+ return (float)__kernel_standard((double)x,(double)y,127);
+ } else
+ return z;
+#endif
+}
+weak_alias (__fmodf, fmodf)
diff --git a/sysdeps/libm-ieee754/w_gamma.c b/sysdeps/libm-ieee754/w_gamma.c
new file mode 100644
index 0000000..de618b3
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_gamma.c
@@ -0,0 +1,50 @@
+/* @(#)w_gamma.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_gamma.c,v 1.7 1995/11/20 22:06:43 jtc Exp $";
+#endif
+
+/* double gamma(double x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call gamma_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+extern int __signgam;
+
+#ifdef __STDC__
+ double __gamma(double x)
+#else
+ double __gamma(x)
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_lgamma_r(x,&__signgam);
+#else
+ double y;
+ y = __ieee754_lgamma_r(x,&__signgam);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!__finite(y)&&__finite(x)) {
+ if(__floor(x)==x&&x<=0.0)
+ return __kernel_standard(x,x,41); /* gamma pole */
+ else
+ return __kernel_standard(x,x,40); /* gamma overflow */
+ } else
+ return y;
+#endif
+}
+weak_alias (__gamma, gamma)
diff --git a/sysdeps/libm-ieee754/w_gamma_r.c b/sysdeps/libm-ieee754/w_gamma_r.c
new file mode 100644
index 0000000..103dbab
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_gamma_r.c
@@ -0,0 +1,47 @@
+/* @(#)wr_gamma.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_gamma_r.c,v 1.7 1995/11/20 22:06:45 jtc Exp $";
+#endif
+
+/*
+ * wrapper double gamma_r(double x, int *signgamp)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double __gamma_r(double x, int *signgamp) /* wrapper lgamma_r */
+#else
+ double __gamma_r(x,signgamp) /* wrapper lgamma_r */
+ double x; int *signgamp;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_lgamma_r(x,signgamp);
+#else
+ double y;
+ y = __ieee754_lgamma_r(x,signgamp);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!__finite(y)&&__finite(x)) {
+ if(__floor(x)==x&&x<=0.0)
+ return __kernel_standard(x,x,41); /* gamma pole */
+ else
+ return __kernel_standard(x,x,40); /* gamma overflow */
+ } else
+ return y;
+#endif
+}
+weak_alias (__gamma_r, gamma_r)
diff --git a/sysdeps/libm-ieee754/w_gammaf.c b/sysdeps/libm-ieee754/w_gammaf.c
new file mode 100644
index 0000000..d0058df
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_gammaf.c
@@ -0,0 +1,49 @@
+/* w_gammaf.c -- float version of w_gamma.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_gammaf.c,v 1.4 1995/11/20 22:06:48 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+extern int __signgam;
+
+#ifdef __STDC__
+ float __gammaf(float x)
+#else
+ float __gammaf(x)
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_lgammaf_r(x,&__signgam);
+#else
+ float y;
+ y = __ieee754_lgammaf_r(x,&__signgam);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!__finitef(y)&&__finitef(x)) {
+ if(__floorf(x)==x&&x<=(float)0.0)
+ /* gammaf pole */
+ return (float)__kernel_standard((double)x,(double)x,141);
+ else
+ /* gammaf overflow */
+ return (float)__kernel_standard((double)x,(double)x,140);
+ } else
+ return y;
+#endif
+}
+weak_alias (__gammaf, gammaf)
diff --git a/sysdeps/libm-ieee754/w_gammaf_r.c b/sysdeps/libm-ieee754/w_gammaf_r.c
new file mode 100644
index 0000000..b15d5e8
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_gammaf_r.c
@@ -0,0 +1,52 @@
+/* w_gammaf_r.c -- float version of w_gamma_r.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_gammaf_r.c,v 1.4 1995/11/20 22:06:50 jtc Exp $";
+#endif
+
+/*
+ * wrapper float gammaf_r(float x, int *signgamp)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float __gammaf_r(float x, int *signgamp) /* wrapper lgammaf_r */
+#else
+ float __gammaf_r(x,signgamp) /* wrapper lgammaf_r */
+ float x; int *signgamp;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_lgammaf_r(x,signgamp);
+#else
+ float y;
+ y = __ieee754_lgammaf_r(x,signgamp);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!__finitef(y)&&__finitef(x)) {
+ if(__floorf(x)==x&&x<=(float)0.0)
+ /* gammaf pole */
+ return (float)__kernel_standard((double)x,(double)x,141);
+ else
+ /* gamma overflow */
+ return (float)__kernel_standard((double)x,(double)x,140);
+ } else
+ return y;
+#endif
+}
+weak_alias (__gammaf_r, gammaf_r)
diff --git a/sysdeps/libm-ieee754/w_hypot.c b/sysdeps/libm-ieee754/w_hypot.c
new file mode 100644
index 0000000..1fd8f12
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_hypot.c
@@ -0,0 +1,44 @@
+/* @(#)w_hypot.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_hypot.c,v 1.6 1995/05/10 20:49:07 jtc Exp $";
+#endif
+
+/*
+ * wrapper hypot(x,y)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double __hypot(double x, double y)/* wrapper hypot */
+#else
+ double __hypot(x,y) /* wrapper hypot */
+ double x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_hypot(x,y);
+#else
+ double z;
+ z = __ieee754_hypot(x,y);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if((!__finite(z))&&__finite(x)&&__finite(y))
+ return __kernel_standard(x,y,4); /* hypot overflow */
+ else
+ return z;
+#endif
+}
+weak_alias (__hypot, hypot)
diff --git a/sysdeps/libm-ieee754/w_hypotf.c b/sysdeps/libm-ieee754/w_hypotf.c
new file mode 100644
index 0000000..a7e5c1f
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_hypotf.c
@@ -0,0 +1,48 @@
+/* w_hypotf.c -- float version of w_hypot.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_hypotf.c,v 1.3 1995/05/10 20:49:09 jtc Exp $";
+#endif
+
+/*
+ * wrapper hypotf(x,y)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float __hypotf(float x, float y) /* wrapper hypotf */
+#else
+ float __hypotf(x,y) /* wrapper hypotf */
+ float x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_hypotf(x,y);
+#else
+ float z;
+ z = __ieee754_hypotf(x,y);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if((!__finitef(z))&&__finitef(x)&&__finitef(y))
+ /* hypot overflow */
+ return (float)__kernel_standard((double)x,(double)y,104);
+ else
+ return z;
+#endif
+}
+weak_alias (__hypotf, hypotf)
diff --git a/sysdeps/libm-ieee754/w_j0.c b/sysdeps/libm-ieee754/w_j0.c
new file mode 100644
index 0000000..1486c14
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_j0.c
@@ -0,0 +1,71 @@
+/* @(#)w_j0.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_j0.c,v 1.6 1995/05/10 20:49:11 jtc Exp $";
+#endif
+
+/*
+ * wrapper j0(double x), y0(double x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __j0(double x) /* wrapper j0 */
+#else
+ double __j0(x) /* wrapper j0 */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_j0(x);
+#else
+ double z = __ieee754_j0(x);
+ if(_LIB_VERSION == _IEEE_ || __isnan(x)) return z;
+ if(fabs(x)>X_TLOSS) {
+ return __kernel_standard(x,x,34); /* j0(|x|>X_TLOSS) */
+ } else
+ return z;
+#endif
+}
+weak_alias (__j0, j0)
+
+#ifdef __STDC__
+ double __y0(double x) /* wrapper y0 */
+#else
+ double __y0(x) /* wrapper y0 */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_y0(x);
+#else
+ double z;
+ z = __ieee754_y0(x);
+ if(_LIB_VERSION == _IEEE_ || __isnan(x) ) return z;
+ if(x <= 0.0){
+ if(x==0.0)
+ /* d= -one/(x-x); */
+ return __kernel_standard(x,x,8);
+ else
+ /* d = zero/(x-x); */
+ return __kernel_standard(x,x,9);
+ }
+ if(x>X_TLOSS) {
+ return __kernel_standard(x,x,35); /* y0(x>X_TLOSS) */
+ } else
+ return z;
+#endif
+}
+weak_alias (__y0, y0)
diff --git a/sysdeps/libm-ieee754/w_j0f.c b/sysdeps/libm-ieee754/w_j0f.c
new file mode 100644
index 0000000..cc8ec6f
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_j0f.c
@@ -0,0 +1,76 @@
+/* w_j0f.c -- float version of w_j0.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_j0f.c,v 1.3 1995/05/10 20:49:13 jtc Exp $";
+#endif
+
+/*
+ * wrapper j0f(float x), y0f(float x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __j0f(float x) /* wrapper j0f */
+#else
+ float __j0f(x) /* wrapper j0f */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_j0f(x);
+#else
+ float z = __ieee754_j0f(x);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(x)) return z;
+ if(fabsf(x)>(float)X_TLOSS) {
+ /* j0f(|x|>X_TLOSS) */
+ return (float)__kernel_standard((double)x,(double)x,134);
+ } else
+ return z;
+#endif
+}
+weak_alias (__j0f, j0f)
+
+#ifdef __STDC__
+ float __y0f(float x) /* wrapper y0f */
+#else
+ float __y0f(x) /* wrapper y0f */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_y0f(x);
+#else
+ float z;
+ z = __ieee754_y0f(x);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(x) ) return z;
+ if(x <= (float)0.0){
+ if(x==(float)0.0)
+ /* d= -one/(x-x); */
+ return (float)__kernel_standard((double)x,(double)x,108);
+ else
+ /* d = zero/(x-x); */
+ return (float)__kernel_standard((double)x,(double)x,109);
+ }
+ if(x>(float)X_TLOSS) {
+ /* y0(x>X_TLOSS) */
+ return (float)__kernel_standard((double)x,(double)x,135);
+ } else
+ return z;
+#endif
+}
+weak_alias (__y0f, y0f)
diff --git a/sysdeps/libm-ieee754/w_j1.c b/sysdeps/libm-ieee754/w_j1.c
new file mode 100644
index 0000000..9d09f0d
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_j1.c
@@ -0,0 +1,72 @@
+/* @(#)w_j1.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_j1.c,v 1.6 1995/05/10 20:49:15 jtc Exp $";
+#endif
+
+/*
+ * wrapper of j1,y1
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __j1(double x) /* wrapper j1 */
+#else
+ double __j1(x) /* wrapper j1 */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_j1(x);
+#else
+ double z;
+ z = __ieee754_j1(x);
+ if(_LIB_VERSION == _IEEE_ || __isnan(x) ) return z;
+ if(fabs(x)>X_TLOSS) {
+ return __kernel_standard(x,x,36); /* j1(|x|>X_TLOSS) */
+ } else
+ return z;
+#endif
+}
+weak_alias (__j1, j1)
+
+#ifdef __STDC__
+ double __y1(double x) /* wrapper y1 */
+#else
+ double __y1(x) /* wrapper y1 */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_y1(x);
+#else
+ double z;
+ z = __ieee754_y1(x);
+ if(_LIB_VERSION == _IEEE_ || __isnan(x) ) return z;
+ if(x <= 0.0){
+ if(x==0.0)
+ /* d= -one/(x-x); */
+ return __kernel_standard(x,x,10);
+ else
+ /* d = zero/(x-x); */
+ return __kernel_standard(x,x,11);
+ }
+ if(x>X_TLOSS) {
+ return __kernel_standard(x,x,37); /* y1(x>X_TLOSS) */
+ } else
+ return z;
+#endif
+}
+weak_alias (__y1, y1)
diff --git a/sysdeps/libm-ieee754/w_j1f.c b/sysdeps/libm-ieee754/w_j1f.c
new file mode 100644
index 0000000..a1419b3
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_j1f.c
@@ -0,0 +1,77 @@
+/* w_j1f.c -- float version of w_j1.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_j1f.c,v 1.3 1995/05/10 20:49:17 jtc Exp $";
+#endif
+
+/*
+ * wrapper of j1f,y1f
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __j1f(float x) /* wrapper j1f */
+#else
+ float __j1f(x) /* wrapper j1f */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_j1f(x);
+#else
+ float z;
+ z = __ieee754_j1f(x);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(x) ) return z;
+ if(fabsf(x)>(float)X_TLOSS) {
+ /* j1(|x|>X_TLOSS) */
+ return (float)__kernel_standard((double)x,(double)x,136);
+ } else
+ return z;
+#endif
+}
+weak_alias (__j1f, j1f)
+
+#ifdef __STDC__
+ float __y1f(float x) /* wrapper y1f */
+#else
+ float __y1f(x) /* wrapper y1f */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_y1f(x);
+#else
+ float z;
+ z = __ieee754_y1f(x);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(x) ) return z;
+ if(x <= (float)0.0){
+ if(x==(float)0.0)
+ /* d= -one/(x-x); */
+ return (float)__kernel_standard((double)x,(double)x,110);
+ else
+ /* d = zero/(x-x); */
+ return (float)__kernel_standard((double)x,(double)x,111);
+ }
+ if(x>(float)X_TLOSS) {
+ /* y1(x>X_TLOSS) */
+ return (float)__kernel_standard((double)x,(double)x,137);
+ } else
+ return z;
+#endif
+}
+weak_alias (__y1f, y1f)
diff --git a/sysdeps/libm-ieee754/w_jn.c b/sysdeps/libm-ieee754/w_jn.c
new file mode 100644
index 0000000..9f5506b
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_jn.c
@@ -0,0 +1,94 @@
+/* @(#)w_jn.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_jn.c,v 1.6 1995/05/10 20:49:19 jtc Exp $";
+#endif
+
+/*
+ * wrapper jn(int n, double x), yn(int n, double 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__
+ double __jn(int n, double x) /* wrapper jn */
+#else
+ double __jn(n,x) /* wrapper jn */
+ double x; int n;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_jn(n,x);
+#else
+ double z;
+ z = __ieee754_jn(n,x);
+ if(_LIB_VERSION == _IEEE_ || __isnan(x) ) return z;
+ if(fabs(x)>X_TLOSS) {
+ return __kernel_standard((double)n,x,38); /* jn(|x|>X_TLOSS,n) */
+ } else
+ return z;
+#endif
+}
+weak_alias (__jn, jn)
+
+#ifdef __STDC__
+ double __yn(int n, double x) /* wrapper yn */
+#else
+ double __yn(n,x) /* wrapper yn */
+ double x; int n;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_yn(n,x);
+#else
+ double z;
+ z = __ieee754_yn(n,x);
+ if(_LIB_VERSION == _IEEE_ || __isnan(x) ) return z;
+ if(x <= 0.0){
+ if(x==0.0)
+ /* d= -one/(x-x); */
+ return __kernel_standard((double)n,x,12);
+ else
+ /* d = zero/(x-x); */
+ return __kernel_standard((double)n,x,13);
+ }
+ if(x>X_TLOSS) {
+ return __kernel_standard((double)n,x,39); /* yn(x>X_TLOSS,n) */
+ } else
+ return z;
+#endif
+}
+weak_alias (__yn, yn)
diff --git a/sysdeps/libm-ieee754/w_jnf.c b/sysdeps/libm-ieee754/w_jnf.c
new file mode 100644
index 0000000..82cdc9f
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_jnf.c
@@ -0,0 +1,73 @@
+/* w_jnf.c -- float version of w_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: w_jnf.c,v 1.3 1995/05/10 20:49:21 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __jnf(int n, float x) /* wrapper jnf */
+#else
+ float __jnf(n,x) /* wrapper jnf */
+ float x; int n;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_jnf(n,x);
+#else
+ float z;
+ z = __ieee754_jnf(n,x);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(x) ) return z;
+ if(fabsf(x)>(float)X_TLOSS) {
+ /* jn(|x|>X_TLOSS,n) */
+ return (float)__kernel_standard((double)n,(double)x,138);
+ } else
+ return z;
+#endif
+}
+weak_alias (__jnf, jnf)
+
+#ifdef __STDC__
+ float __ynf(int n, float x) /* wrapper ynf */
+#else
+ float __ynf(n,x) /* wrapper ynf */
+ float x; int n;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_ynf(n,x);
+#else
+ float z;
+ z = __ieee754_ynf(n,x);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(x) ) return z;
+ if(x <= (float)0.0){
+ if(x==(float)0.0)
+ /* d= -one/(x-x); */
+ return (float)__kernel_standard((double)n,(double)x,112);
+ else
+ /* d = zero/(x-x); */
+ return (float)__kernel_standard((double)n,(double)x,113);
+ }
+ if(x>(float)X_TLOSS) {
+ /* yn(x>X_TLOSS,n) */
+ return (float)__kernel_standard((double)n,(double)x,139);
+ } else
+ return z;
+#endif
+}
+weak_alias (__ynf, ynf)
diff --git a/sysdeps/libm-ieee754/w_lgamma.c b/sysdeps/libm-ieee754/w_lgamma.c
new file mode 100644
index 0000000..9868f05
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_lgamma.c
@@ -0,0 +1,50 @@
+/* @(#)w_lgamma.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_lgamma.c,v 1.6 1995/05/10 20:49:24 jtc Exp $";
+#endif
+
+/* double lgamma(double x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call __ieee754_lgamma_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+extern int __signgam;
+
+#ifdef __STDC__
+ double __lgamma(double x)
+#else
+ double __lgamma(x)
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_lgamma_r(x,&__signgam);
+#else
+ double y;
+ y = __ieee754_lgamma_r(x,&__signgam);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!__finite(y)&&__finite(x)) {
+ if(__floor(x)==x&&x<=0.0)
+ return __kernel_standard(x,x,15); /* lgamma pole */
+ else
+ return __kernel_standard(x,x,14); /* lgamma overflow */
+ } else
+ return y;
+#endif
+}
+weak_alias (__lgamma, lgamma)
diff --git a/sysdeps/libm-ieee754/w_lgamma_r.c b/sysdeps/libm-ieee754/w_lgamma_r.c
new file mode 100644
index 0000000..c5c5edc
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_lgamma_r.c
@@ -0,0 +1,47 @@
+/* @(#)wr_lgamma.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_lgamma_r.c,v 1.6 1995/05/10 20:49:27 jtc Exp $";
+#endif
+
+/*
+ * wrapper double lgamma_r(double x, int *signgamp)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double __lgamma_r(double x, int *signgamp) /* wrapper lgamma_r */
+#else
+ double __lgamma_r(x,signgamp) /* wrapper lgamma_r */
+ double x; int *signgamp;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_lgamma_r(x,signgamp);
+#else
+ double y;
+ y = __ieee754_lgamma_r(x,signgamp);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!__finite(y)&&__finite(x)) {
+ if(__floor(x)==x&&x<=0.0)
+ return __kernel_standard(x,x,15); /* lgamma pole */
+ else
+ return __kernel_standard(x,x,14); /* lgamma overflow */
+ } else
+ return y;
+#endif
+}
+weak_alias (__lgamma_r, lgamma_r)
diff --git a/sysdeps/libm-ieee754/w_lgammaf.c b/sysdeps/libm-ieee754/w_lgammaf.c
new file mode 100644
index 0000000..351b7ac
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_lgammaf.c
@@ -0,0 +1,49 @@
+/* w_lgammaf.c -- float version of w_lgamma.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_lgammaf.c,v 1.3 1995/05/10 20:49:30 jtc Exp $";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+extern int __signgam;
+
+#ifdef __STDC__
+ float __lgammaf(float x)
+#else
+ float __lgammaf(x)
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_lgammaf_r(x,&__signgam);
+#else
+ float y;
+ y = __ieee754_lgammaf_r(x,&__signgam);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!__finitef(y)&&__finitef(x)) {
+ if(__floorf(x)==x&&x<=(float)0.0)
+ /* lgamma pole */
+ return (float)__kernel_standard((double)x,(double)x,115);
+ else
+ /* lgamma overflow */
+ return (float)__kernel_standard((double)x,(double)x,114);
+ } else
+ return y;
+#endif
+}
+weak_alias (__lgammaf, lgammaf)
diff --git a/sysdeps/libm-ieee754/w_lgammaf_r.c b/sysdeps/libm-ieee754/w_lgammaf_r.c
new file mode 100644
index 0000000..66962ac
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_lgammaf_r.c
@@ -0,0 +1,52 @@
+/* w_lgammaf_r.c -- float version of w_lgamma_r.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_lgammaf_r.c,v 1.3 1995/05/10 20:49:32 jtc Exp $";
+#endif
+
+/*
+ * wrapper float lgammaf_r(float x, int *signgamp)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float __lgammaf_r(float x, int *signgamp) /* wrapper lgammaf_r */
+#else
+ float __lgammaf_r(x,signgamp) /* wrapper lgammaf_r */
+ float x; int *signgamp;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_lgammaf_r(x,signgamp);
+#else
+ float y;
+ y = __ieee754_lgammaf_r(x,signgamp);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!__finitef(y)&&__finitef(x)) {
+ if(__floorf(x)==x&&x<=(float)0.0)
+ /* lgamma pole */
+ return (float)__kernel_standard((double)x,(double)x,115);
+ else
+ /* lgamma overflow */
+ return (float)__kernel_standard((double)x,(double)x,114);
+ } else
+ return y;
+#endif
+}
+weak_alias (__lgammaf_r, lgammaf_r)
diff --git a/sysdeps/libm-ieee754/w_log.c b/sysdeps/libm-ieee754/w_log.c
new file mode 100644
index 0000000..d1713eb
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_log.c
@@ -0,0 +1,44 @@
+/* @(#)w_log.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_log.c,v 1.6 1995/05/10 20:49:33 jtc Exp $";
+#endif
+
+/*
+ * wrapper log(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double __log(double x) /* wrapper log */
+#else
+ double __log(x) /* wrapper log */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_log(x);
+#else
+ double z;
+ z = __ieee754_log(x);
+ if(_LIB_VERSION == _IEEE_ || __isnan(x) || x > 0.0) return z;
+ if(x==0.0)
+ return __kernel_standard(x,x,16); /* log(0) */
+ else
+ return __kernel_standard(x,x,17); /* log(x<0) */
+#endif
+}
+weak_alias (__log, log)
diff --git a/sysdeps/libm-ieee754/w_log10.c b/sysdeps/libm-ieee754/w_log10.c
new file mode 100644
index 0000000..46334ce
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_log10.c
@@ -0,0 +1,47 @@
+/* @(#)w_log10.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_log10.c,v 1.6 1995/05/10 20:49:35 jtc Exp $";
+#endif
+
+/*
+ * wrapper log10(X)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double __log10(double x) /* wrapper log10 */
+#else
+ double __log10(x) /* wrapper log10 */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_log10(x);
+#else
+ double z;
+ z = __ieee754_log10(x);
+ if(_LIB_VERSION == _IEEE_ || __isnan(x)) return z;
+ if(x<=0.0) {
+ if(x==0.0)
+ return __kernel_standard(x,x,18); /* log10(0) */
+ else
+ return __kernel_standard(x,x,19); /* log10(x<0) */
+ } else
+ return z;
+#endif
+}
+weak_alias (__log10, log10)
diff --git a/sysdeps/libm-ieee754/w_log10f.c b/sysdeps/libm-ieee754/w_log10f.c
new file mode 100644
index 0000000..f90cb0c
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_log10f.c
@@ -0,0 +1,52 @@
+/* w_log10f.c -- float version of w_log10.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_log10f.c,v 1.3 1995/05/10 20:49:37 jtc Exp $";
+#endif
+
+/*
+ * wrapper log10f(X)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float __log10f(float x) /* wrapper log10f */
+#else
+ float __log10f(x) /* wrapper log10f */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_log10f(x);
+#else
+ float z;
+ z = __ieee754_log10f(x);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(x)) return z;
+ if(x<=(float)0.0) {
+ if(x==(float)0.0)
+ /* log10(0) */
+ return (float)__kernel_standard((double)x,(double)x,118);
+ else
+ /* log10(x<0) */
+ return (float)__kernel_standard((double)x,(double)x,119);
+ } else
+ return z;
+#endif
+}
+weak_alias (__log10f, log10f)
diff --git a/sysdeps/libm-ieee754/w_logf.c b/sysdeps/libm-ieee754/w_logf.c
new file mode 100644
index 0000000..9eabe4b
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_logf.c
@@ -0,0 +1,49 @@
+/* w_logf.c -- float version of w_log.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_logf.c,v 1.3 1995/05/10 20:49:40 jtc Exp $";
+#endif
+
+/*
+ * wrapper logf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float __logf(float x) /* wrapper logf */
+#else
+ float __logf(x) /* wrapper logf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_logf(x);
+#else
+ float z;
+ z = __ieee754_logf(x);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(x) || x > (float)0.0) return z;
+ if(x==(float)0.0)
+ /* logf(0) */
+ return (float)__kernel_standard((double)x,(double)x,116);
+ else
+ /* logf(x<0) */
+ return (float)__kernel_standard((double)x,(double)x,117);
+#endif
+}
+weak_alias (__logf, logf)
diff --git a/sysdeps/libm-ieee754/w_pow.c b/sysdeps/libm-ieee754/w_pow.c
new file mode 100644
index 0000000..adc1b2b
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_pow.c
@@ -0,0 +1,62 @@
+
+
+/* @(#)w_pow.c 5.2 93/10/01 */
+/*
+ * ====================================================
+ * 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.
+ * ====================================================
+ */
+
+/*
+ * wrapper pow(x,y) return x**y
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ double __pow(double x, double y) /* wrapper pow */
+#else
+ double __pow(x,y) /* wrapper pow */
+ double x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_pow(x,y);
+#else
+ double z;
+ z=__ieee754_pow(x,y);
+ if(_LIB_VERSION == _IEEE_|| __isnan(y)) return z;
+ if(__isnan(x)) {
+ if(y==0.0)
+ return __kernel_standard(x,y,42); /* pow(NaN,0.0) */
+ else
+ return z;
+ }
+ if(x==0.0){
+ if(y==0.0)
+ return __kernel_standard(x,y,20); /* pow(0.0,0.0) */
+ if(__finite(y)&&y<0.0)
+ return __kernel_standard(x,y,23); /* pow(0.0,negative) */
+ return z;
+ }
+ if(!__finite(z)) {
+ if(__finite(x)&&__finite(y)) {
+ if(__isnan(z))
+ return __kernel_standard(x,y,24); /* pow neg**non-int */
+ else
+ return __kernel_standard(x,y,21); /* pow overflow */
+ }
+ }
+ if(z==0.0&&__finite(x)&&__finite(y))
+ return __kernel_standard(x,y,22); /* pow underflow */
+ return z;
+#endif
+}
+weak_alias (__pow, pow)
diff --git a/sysdeps/libm-ieee754/w_powf.c b/sysdeps/libm-ieee754/w_powf.c
new file mode 100644
index 0000000..3f9d5c8
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_powf.c
@@ -0,0 +1,73 @@
+/* w_powf.c -- float version of w_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: w_powf.c,v 1.3 1995/05/10 20:49:41 jtc Exp $";
+#endif
+
+/*
+ * wrapper powf(x,y) return x**y
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+
+#ifdef __STDC__
+ float __powf(float x, float y) /* wrapper powf */
+#else
+ float __powf(x,y) /* wrapper powf */
+ float x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_powf(x,y);
+#else
+ float z;
+ z=__ieee754_powf(x,y);
+ if(_LIB_VERSION == _IEEE_|| __isnanf(y)) return z;
+ if(__isnanf(x)) {
+ if(y==(float)0.0)
+ /* powf(NaN,0.0) */
+ return (float)__kernel_standard((double)x,(double)y,142);
+ else
+ return z;
+ }
+ if(x==(float)0.0){
+ if(y==(float)0.0)
+ /* powf(0.0,0.0) */
+ return (float)__kernel_standard((double)x,(double)y,120);
+ if(__finitef(y)&&y<(float)0.0)
+ /* powf(0.0,negative) */
+ return (float)__kernel_standard((double)x,(double)y,123);
+ return z;
+ }
+ if(!__finitef(z)) {
+ if(__finitef(x)&&__finitef(y)) {
+ if(__isnanf(z))
+ /* powf neg**non-int */
+ return (float)__kernel_standard((double)x,(double)y,124);
+ else
+ /* powf overflow */
+ return (float)__kernel_standard((double)x,(double)y,121);
+ }
+ }
+ if(z==(float)0.0&&__finitef(x)&&__finitef(y))
+ /* powf underflow */
+ return (float)__kernel_standard((double)x,(double)y,122);
+ return z;
+#endif
+}
+weak_alias (__powf, powf)
diff --git a/sysdeps/libm-ieee754/w_remainder.c b/sysdeps/libm-ieee754/w_remainder.c
new file mode 100644
index 0000000..9fd2952
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_remainder.c
@@ -0,0 +1,43 @@
+/* @(#)w_remainder.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_remainder.c,v 1.6 1995/05/10 20:49:44 jtc Exp $";
+#endif
+
+/*
+ * wrapper remainder(x,p)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __remainder(double x, double y) /* wrapper remainder */
+#else
+ double __remainder(x,y) /* wrapper remainder */
+ double x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_remainder(x,y);
+#else
+ double z;
+ z = __ieee754_remainder(x,y);
+ if(_LIB_VERSION == _IEEE_ || __isnan(y)) return z;
+ if(y==0.0)
+ return __kernel_standard(x,y,28); /* remainder(x,0) */
+ else
+ return z;
+#endif
+}
+weak_alias (__remainder, remainder)
diff --git a/sysdeps/libm-ieee754/w_remainderf.c b/sysdeps/libm-ieee754/w_remainderf.c
new file mode 100644
index 0000000..58255f5
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_remainderf.c
@@ -0,0 +1,47 @@
+/* w_remainderf.c -- float version of w_remainder.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_remainderf.c,v 1.3 1995/05/10 20:49:46 jtc Exp $";
+#endif
+
+/*
+ * wrapper remainderf(x,p)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __remainderf(float x, float y) /* wrapper remainder */
+#else
+ float __remainderf(x,y) /* wrapper remainder */
+ float x,y;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_remainderf(x,y);
+#else
+ float z;
+ z = __ieee754_remainderf(x,y);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(y)) return z;
+ if(y==(float)0.0)
+ /* remainder(x,0) */
+ return (float)__kernel_standard((double)x,(double)y,128);
+ else
+ return z;
+#endif
+}
+weak_alias (__remainderf, remainderf)
diff --git a/sysdeps/libm-ieee754/w_scalb.c b/sysdeps/libm-ieee754/w_scalb.c
new file mode 100644
index 0000000..f718bc2
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_scalb.c
@@ -0,0 +1,61 @@
+/* @(#)w_scalb.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_scalb.c,v 1.6 1995/05/10 20:49:48 jtc Exp $";
+#endif
+
+/*
+ * wrapper scalb(double x, double fn) is provide for
+ * passing various standard test suite. One
+ * should use scalbn() instead.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#include <errno.h>
+
+#ifdef __STDC__
+#ifdef _SCALB_INT
+ double __scalb(double x, int fn) /* wrapper scalb */
+#else
+ double __scalb(double x, double fn) /* wrapper scalb */
+#endif
+#else
+ double __scalb(x,fn) /* wrapper scalb */
+#ifdef _SCALB_INT
+ double x; int fn;
+#else
+ double x,fn;
+#endif
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_scalb(x,fn);
+#else
+ double z;
+ z = __ieee754_scalb(x,fn);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(!(__finite(z)||__isnan(z))&&__finite(x)) {
+ return __kernel_standard(x,(double)fn,32); /* scalb overflow */
+ }
+ if(z==0.0&&z!=x) {
+ return __kernel_standard(x,(double)fn,33); /* scalb underflow */
+ }
+#ifndef _SCALB_INT
+ if(!__finite(fn)) errno = ERANGE;
+#endif
+ return z;
+#endif
+}
+weak_alias (__scalb, scalb)
diff --git a/sysdeps/libm-ieee754/w_scalbf.c b/sysdeps/libm-ieee754/w_scalbf.c
new file mode 100644
index 0000000..3af7ed3
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_scalbf.c
@@ -0,0 +1,66 @@
+/* w_scalbf.c -- float version of w_scalb.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_scalbf.c,v 1.3 1995/05/10 20:49:50 jtc Exp $";
+#endif
+
+/*
+ * wrapper scalbf(float x, float fn) is provide for
+ * passing various standard test suite. One
+ * should use scalbn() instead.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#include <errno.h>
+
+#ifdef __STDC__
+#ifdef _SCALB_INT
+ float __scalbf(float x, int fn) /* wrapper scalbf */
+#else
+ float __scalbf(float x, float fn) /* wrapper scalbf */
+#endif
+#else
+ float __scalbf(x,fn) /* wrapper scalbf */
+#ifdef _SCALB_INT
+ float x; int fn;
+#else
+ float x,fn;
+#endif
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_scalbf(x,fn);
+#else
+ float z;
+ z = __ieee754_scalbf(x,fn);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(!(__finitef(z)||__isnanf(z))&&__finitef(x)) {
+ /* scalbf overflow */
+ return (float)__kernel_standard((double)x,(double)fn,132);
+ }
+ if(z==(float)0.0&&z!=x) {
+ /* scalbf underflow */
+ return (float)__kernel_standard((double)x,(double)fn,133);
+ }
+#ifndef _SCALB_INT
+ if(!__finitef(fn)) errno = ERANGE;
+#endif
+ return z;
+#endif
+}
+weak_alias (__scalbf, scalbf)
diff --git a/sysdeps/libm-ieee754/w_sinh.c b/sysdeps/libm-ieee754/w_sinh.c
new file mode 100644
index 0000000..9ecc4c5
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_sinh.c
@@ -0,0 +1,43 @@
+/* @(#)w_sinh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_sinh.c,v 1.6 1995/05/10 20:49:51 jtc Exp $";
+#endif
+
+/*
+ * wrapper sinh(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __sinh(double x) /* wrapper sinh */
+#else
+ double __sinh(x) /* wrapper sinh */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_sinh(x);
+#else
+ double z;
+ z = __ieee754_sinh(x);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(!__finite(z)&&__finite(x)) {
+ return __kernel_standard(x,x,25); /* sinh overflow */
+ } else
+ return z;
+#endif
+}
+weak_alias (__sinh, sinh)
diff --git a/sysdeps/libm-ieee754/w_sinhf.c b/sysdeps/libm-ieee754/w_sinhf.c
new file mode 100644
index 0000000..a69cf30
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_sinhf.c
@@ -0,0 +1,47 @@
+/* w_sinhf.c -- float version of w_sinh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_sinhf.c,v 1.3 1995/05/10 20:49:54 jtc Exp $";
+#endif
+
+/*
+ * wrapper sinhf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __sinhf(float x) /* wrapper sinhf */
+#else
+ float __sinhf(x) /* wrapper sinhf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_sinhf(x);
+#else
+ float z;
+ z = __ieee754_sinhf(x);
+ if(_LIB_VERSION == _IEEE_) return z;
+ if(!__finitef(z)&&__finitef(x)) {
+ /* sinhf overflow */
+ return (float)__kernel_standard((double)x,(double)x,125);
+ } else
+ return z;
+#endif
+}
+weak_alias (__sinhf, sinhf)
diff --git a/sysdeps/libm-ieee754/w_sqrt.c b/sysdeps/libm-ieee754/w_sqrt.c
new file mode 100644
index 0000000..6351732
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_sqrt.c
@@ -0,0 +1,43 @@
+/* @(#)w_sqrt.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_sqrt.c,v 1.6 1995/05/10 20:49:55 jtc Exp $";
+#endif
+
+/*
+ * wrapper sqrt(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ double __sqrt(double x) /* wrapper sqrt */
+#else
+ double __sqrt(x) /* wrapper sqrt */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_sqrt(x);
+#else
+ double z;
+ z = __ieee754_sqrt(x);
+ if(_LIB_VERSION == _IEEE_ || __isnan(x)) return z;
+ if(x<0.0) {
+ return __kernel_standard(x,x,26); /* sqrt(negative) */
+ } else
+ return z;
+#endif
+}
+weak_alias (__sqrt, sqrt)
diff --git a/sysdeps/libm-ieee754/w_sqrtf.c b/sysdeps/libm-ieee754/w_sqrtf.c
new file mode 100644
index 0000000..f5ccc73
--- /dev/null
+++ b/sysdeps/libm-ieee754/w_sqrtf.c
@@ -0,0 +1,47 @@
+/* w_sqrtf.c -- float version of w_sqrt.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#if defined(LIBM_SCCS) && !defined(lint)
+static char rcsid[] = "$NetBSD: w_sqrtf.c,v 1.3 1995/05/10 20:49:59 jtc Exp $";
+#endif
+
+/*
+ * wrapper sqrtf(x)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+ float __sqrtf(float x) /* wrapper sqrtf */
+#else
+ float sqrt(x) /* wrapper sqrtf */
+ float x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_sqrtf(x);
+#else
+ float z;
+ z = __ieee754_sqrtf(x);
+ if(_LIB_VERSION == _IEEE_ || __isnanf(x)) return z;
+ if(x<(float)0.0) {
+ /* sqrtf(negative) */
+ return (float)__kernel_standard((double)x,(double)x,126);
+ } else
+ return z;
+#endif
+}
+weak_alias (__sqrtf, sqrtf)