Initial Contribution
diff --git a/Android.mk b/Android.mk
new file mode 100644
index 0000000..ecf6708
--- /dev/null
+++ b/Android.mk
@@ -0,0 +1,39 @@
+LOCAL_PATH:= $(call my-dir)
+include $(CLEAR_VARS)
+
+LOCAL_SRC_FILES:= \
+ k_standard.c k_rem_pio2.c \
+ k_cos.c k_sin.c k_tan.c \
+ e_acos.c e_acosh.c e_asin.c e_atan2.c \
+ e_atanh.c e_cosh.c e_exp.c e_fmod.c \
+ e_gamma.c e_gamma_r.c e_hypot.c e_j0.c \
+ e_j1.c e_jn.c e_lgamma.c e_lgamma_r.c \
+ e_log.c e_log10.c e_pow.c e_rem_pio2.c e_remainder.c \
+ e_scalb.c e_sinh.c e_sqrt.c \
+ w_acos.c w_acosh.c w_asin.c w_atan2.c \
+ w_atanh.c w_cosh.c w_exp.c w_fmod.c \
+ w_gamma.c w_gamma_r.c w_hypot.c w_j0.c \
+ w_j1.c w_jn.c w_lgamma.c w_lgamma_r.c \
+ w_log.c w_log10.c w_pow.c w_remainder.c \
+ w_scalb.c w_sinh.c w_sqrt.c \
+ s_asinh.c s_atan.c s_cbrt.c s_ceil.c s_copysign.c \
+ s_cos.c s_erf.c s_expm1.c s_fabs.c s_finite.c s_floor.c \
+ s_frexp.c s_ilogb.c s_isnan.c s_ldexp.c s_lib_version.c \
+ s_log1p.c s_logb.c s_matherr.c s_modf.c s_nextafter.c \
+ s_rint.c s_scalbn.c s_signgam.c s_significand.c s_sin.c \
+ s_tan.c s_tanh.c
+
+LOCAL_MODULE := libfdlibm
+
+LOCAL_SYSTEM_SHARED_LIBRARIES :=
+
+# Necessary to guarantee that the FDLIBM functions are in "IEEE spirit",
+# i.e. to guarantee that the IEEE 754 core functions are used
+LOCAL_CFLAGS := "-D_IEEE_LIBM"
+
+ifneq ($(filter $(TARGET_ARCH),arm x86),)
+# When __LITTLE_ENDIAN is set, the source will compile for little endian cpus.
+LOCAL_CFLAGS += "-D__LITTLE_ENDIAN"
+endif
+
+include $(BUILD_STATIC_LIBRARY)
diff --git a/MD5 b/MD5
new file mode 100644
index 0000000..3eeca4f
--- /dev/null
+++ b/MD5
@@ -0,0 +1,102 @@
+-----BEGIN PGP SIGNED MESSAGE-----
+
+# netlib-bl master Mon May 17 03:35:14 EDT 2004
+# http://cm.bell-labs.com/netlib/crc/netlib-bl.html
+xqdt0SfICJbYU285K5kg9g changes
+vXBJ84aVdIHpqtTdjwinqQ configure
+ydqnyJgYpziE8zrr/WU4/g configure.in
+P2sEgHh/v3RHTsLuS1UeTw e_acos.c
+SReAT7diAMhuAtChHm1nLQ e_acosh.c
+xsqL2/A2cuTbG4ZabFtgQg e_asin.c
+uXwtBvNUrnsWp2lWS/ZPzg e_atan2.c
+7+Zmokqk6yU+4B/dPWLVnQ e_atanh.c
+FFRFIVaqeYuPIbZDy+GPLQ e_cosh.c
+lGljkqn5/mLxl0XkN4fWxQ e_exp.c
+ladlzVeoGGhd+r/RvPJUsw e_fmod.c
+WwWDDWUnqoeniw5c6ShWUQ e_gamma.c
++rYzLHXdv60VBR9GpEVA7Q e_gamma_r.c
+BUemgwLOjQ2tpsWv8fQOWA e_hypot.c
+um0j/BMMHd0mEzOIg/iTIw e_j0.c
+023e/9GjB47rNsYlxW9/Ug e_j1.c
+X2UtLCi/Hg5Xx0ZAiaUHXQ e_jn.c
+bBStzzLdDSzNsVlhy/Isdw e_lgamma.c
+pYie2c6jvQAObJMq2IhNGQ e_lgamma_r.c
+mj6pKYX+E8euiAP6577R4A e_log.c
+fEuDo4brNfU8HRqvM0syqQ e_log10.c
+ryT3m0UgTGJarnV+NzNhNQ e_pow.c
+L/2ye70MqZA7YqsCtgMQlQ e_rem_pio2.c
+kdemnBPRKpa3661lnjEcyw e_remainder.c
+DW4MDjGPgkJLg4PBGX5yGg e_scalb.c
+LiW0gFPaN5JVIuQZW4XbVQ e_sinh.c
+JPBrE86qzL59qF5PFCDA/Q e_sqrt.c
+uHfh5HgtlKGibLxJYYBFCg fdlibm.h
+G21yQjn+xOAex15TPeLfBQ index
+sDIZFCqsPOqSl9ykcjky8w k_cos.c
+1t3fuGir+TOYRAO0N8Chng k_rem_pio2.c
+1Fi/fEeHcsIq50vVplKVzQ k_sin.c
+1ufaWqW1PRP1cOuPtb7O7A k_standard.c
+0axra6/ERRuXJJcCc5js/Q k_tan.c
+wDXTC07GG4Bd+EnUjk/MVw makefile
+0ffZi8Ey9JbRT9vCxp4LLg makefile.in
+Tw07rtlUiXvlgwzbRb632Q readme
+WDSYQ245qaKiYXtEn9qSdg s_asinh.c
+ucf0ncFkne9OW4Uv+CxRrQ s_atan.c
+w2/WG3x7j7+b9uydji3FZg s_cbrt.c
+YqCYHnPBw1dDvbYwjWJNbw s_ceil.c
+JX6gTEPMyjuTQclyjiLC2w s_copysign.c
+91ARVh9L6LTc2i9VGu9DSg s_cos.c
+0Jwhkbo/6ewEss7CW1PI9w s_erf.c
+cpq+MFqK2Vi883y8LA/hxA s_expm1.c
+K6LRiJVYLNzThuQaOyibVA s_fabs.c
+uvNnsV4Fmj90jAbySXd54w s_finite.c
+etEc6khe9K27aeE+6ZpW0A s_floor.c
+5KDyugUMkjOsPsq6fygPjg s_frexp.c
+UWvuamu8A+XGSwi9twc/vQ s_ilogb.c
+/KmGbiWbhyiZCru0HbLUpw s_isnan.c
++OZ/WHEZ12FiA8mZ7hk4rA s_ldexp.c
+g33PLRuQjT5HRX4ZozySGA s_lib_version.c
+MHsSOIzpsdw4sVVtAu4GTQ s_log1p.c
+qWJm/3AkemsNi7aF295SGA s_logb.c
+QGkKHdTmho+2Xbd0rObCmA s_matherr.c
+Tfmhq38TAJspcNpJT9Tcww s_modf.c
+k+onjlepmLUH/9xA+Wdqaw s_nextafter.c
+omWcOHAaAKLjMuuSirX8Lw s_rint.c
+6w2X17eamkvE+pCZlPm8Xg s_scalbn.c
+z93vZw0EQ1IQUSqJMRu/IA s_signgam.c
+S3OtNFaARNk7TltgUoVs+Q s_significand.c
+yYuvBWZCWR0Y/YT6pmIr0w s_sin.c
+LhJVti8VVlaWbptWR88XGg s_tan.c
+QfLTJ1iGqgC7RhZWHi0PTQ s_tanh.c
+vR2IBXoLtHZh+GHCV+Iydg w_acos.c
+ZbhbPlbMYiu8Z1NXaDiPDQ w_acosh.c
+KsvLAMHSqu1b72p5kYkJyQ w_asin.c
+ENaJir3y0hZ4yWWKzBs89w w_atan2.c
++jLlTCXpNVY6yuncPyfWyw w_atanh.c
+84kcBUnnIU16mG+cChPbRA w_cosh.c
+bjKr6q9UZYgun3LytNO+1A w_exp.c
+WQG0A3Gk/MlFkjx4h3yw6Q w_fmod.c
+MNIqntvhf0fvFvKfzcPR1g w_gamma.c
+TnrF3OPpiAEUymzT0PZiDw w_gamma_r.c
+OLFqJDwkIZmIF7vm6BQuGQ w_hypot.c
+cvayKIzuZlCxTj6dLXe+qQ w_j0.c
+PB3rNmFTtPoMICeJFkAMeg w_j1.c
+7qCc7gGMiRIp1GY0UQ3gLg w_jn.c
+8URUp8BmBP32s79GRllwdw w_lgamma.c
+AJyN8jlYXVe1Dwx+w6qlEQ w_lgamma_r.c
+8fmXSpy3xt0Mgd+9BkKHRg w_log.c
+/+qteyYx+IKTmLuv1fxqPQ w_log10.c
++o/ImP/JfknQmSxM4TA1ag w_pow.c
+BkF5AkqkRA4Py2Y1p0bQIA w_remainder.c
+77arOaApwrSQngHv26UWrg w_scalb.c
+SgGvz6WUAuHs90sDA/GDbA w_sinh.c
+2aR8vbagrVvvMtXPktM6CQ w_sqrt.c
+
+-----BEGIN PGP SIGNATURE-----
+Version: 2.6.2
+
+iQCVAwUBQKhrNb5pvxO9gjtZAQGFgAP9GkR1sBbpgy/sXcoyIj/LMfystMc5ljYC
+WeqSep2+0gmE3l/aLWBaEL/ngyVY8fWNV7lll/DKGA4oJBTWtozHhWGl2g8+tb+L
+afoMIwLTbSMMkB4bPGfZm1MevZmOn5g4WLOHQ3aTPlykkBw8QDgmLm+7cWZrbHao
+SJ+0t7F/FWI=
+=aGTu
+-----END PGP SIGNATURE-----
diff --git a/MODULE_LICENSE_BSD_LIKE b/MODULE_LICENSE_BSD_LIKE
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/MODULE_LICENSE_BSD_LIKE
diff --git a/changes b/changes
new file mode 100644
index 0000000..0407ab4
--- /dev/null
+++ b/changes
@@ -0,0 +1,77 @@
+21 Oct 2002
+bug fix in e_pow.c from "David G Hough at validlab.com" <validlab@validlab.com>.
+credit for bug report goes to andrew_johnson@uk.ibm.com
+test example:
+-----------------------------
+static int fail=0;
+
+trypow(x,y,z)
+double x,y,z;
+{
+extern double ieee_pow();
+double p ;
+
+p = ieee_pow(x,y);
+if (p != z) {
+ printf(" pow failure x %e y %e computed %e correct %e \n",x,y,p,z);
+ fail++;
+ return;
+}
+if (1/p != 1/z) {
+ printf(" pow failure x %e y %e computed %e correct %e \n",x,y,p,z);
+ fail++;
+ return;
+}
+}
+
+main()
+{
+
+trypow( 1.0000000001, 1.0000000001E10, 2.7182820535066154);
+trypow(-1.0000000001, 1.0000000001E10, -2.7182820535066154);
+trypow(-0.001, 1.0000000001E10, -0.0);
+trypow(-1000.0, 1.0000000001E10, -1.0/0.0);
+
+if (fail == 0) {
+ printf(" fdlibm e_pow.c seems to be current \n");
+ exit(0);
+}
+else {
+ printf(" fdlibm e_pow.c seems to be out of date \n");
+ exit(1);
+}
+
+}
+-----------------------------
+
+
+
+What's new in FDLIBM 5.3?
+
+CONFIGURE
+ To build FDLIBM, edit the supplied Makefile or create
+ a local Makefile by running "sh configure"
+ using the supplied configure script contributed by Nelson Beebe
+
+BUGS FIXED
+
+ 1. e_pow.c incorrect results when
+ x is very close to -1.0 and y is very large, e.g.
+ ieee_pow(-1.0000000000000002e+00,4.5035996273704970e+15) = 0
+ ieee_pow(-9.9999999999999978e-01,4.5035996273704970e+15) = 0
+ Correct results are close to -e and -1/e.
+
+ 2. k_tan.c error was > 1 ulp target for FDLIBM
+ 5.2: Worst error at least 1.45 ulp at
+ ieee_tan(1.7765241907548024E+269) = 1.7733884462610958E+16
+ 5.3: Worst error 0.96 ulp
+
+NOT FIXED YET
+
+ 3. Compiler failure on non-standard code
+ Statements like
+ *(1+(int*)&t1) = 0;
+ are not standard C and cause some optimizing compilers (e.g. GCC)
+ to generate bad code under optimization. These cases
+ are to be addressed in the next release.
+
diff --git a/configure b/configure
new file mode 100644
index 0000000..d40f54b
--- /dev/null
+++ b/configure
@@ -0,0 +1,3309 @@
+#! /bin/sh
+# Guess values for system-dependent variables and create Makefiles.
+# Generated by GNU Autoconf 2.59 for fdlibm 5.3.
+#
+# Report bugs to <FDLIBM COMMENTS <fdlibm-comments AT sun.com>>.
+#
+# Copyright (C) 2003 Free Software Foundation, Inc.
+# This configure script is free software; the Free Software Foundation
+# gives unlimited permission to copy, distribute and modify it.
+## --------------------- ##
+## M4sh Initialization. ##
+## --------------------- ##
+
+# Be Bourne compatible
+if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then
+ emulate sh
+ NULLCMD=:
+ # Zsh 3.x and 4.x performs word splitting on ${1+"$@"}, which
+ # is contrary to our usage. Disable this feature.
+ alias -g '${1+"$@"}'='"$@"'
+elif test -n "${BASH_VERSION+set}" && (set -o posix) >/dev/null 2>&1; then
+ set -o posix
+fi
+DUALCASE=1; export DUALCASE # for MKS sh
+
+# Support unset when possible.
+if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then
+ as_unset=unset
+else
+ as_unset=false
+fi
+
+
+# Work around bugs in pre-3.0 UWIN ksh.
+$as_unset ENV MAIL MAILPATH
+PS1='$ '
+PS2='> '
+PS4='+ '
+
+# NLS nuisances.
+for as_var in \
+ LANG LANGUAGE LC_ADDRESS LC_ALL LC_COLLATE LC_CTYPE LC_IDENTIFICATION \
+ LC_MEASUREMENT LC_MESSAGES LC_MONETARY LC_NAME LC_NUMERIC LC_PAPER \
+ LC_TELEPHONE LC_TIME
+do
+ if (set +x; test -z "`(eval $as_var=C; export $as_var) 2>&1`"); then
+ eval $as_var=C; export $as_var
+ else
+ $as_unset $as_var
+ fi
+done
+
+# Required to use basename.
+if expr a : '\(a\)' >/dev/null 2>&1; then
+ as_expr=expr
+else
+ as_expr=false
+fi
+
+if (basename /) >/dev/null 2>&1 && test "X`basename / 2>&1`" = "X/"; then
+ as_basename=basename
+else
+ as_basename=false
+fi
+
+
+# Name of the executable.
+as_me=`$as_basename "$0" ||
+$as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \
+ X"$0" : 'X\(//\)$' \| \
+ X"$0" : 'X\(/\)$' \| \
+ . : '\(.\)' 2>/dev/null ||
+echo X/"$0" |
+ sed '/^.*\/\([^/][^/]*\)\/*$/{ s//\1/; q; }
+ /^X\/\(\/\/\)$/{ s//\1/; q; }
+ /^X\/\(\/\).*/{ s//\1/; q; }
+ s/.*/./; q'`
+
+
+# PATH needs CR, and LINENO needs CR and PATH.
+# Avoid depending upon Character Ranges.
+as_cr_letters='abcdefghijklmnopqrstuvwxyz'
+as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ'
+as_cr_Letters=$as_cr_letters$as_cr_LETTERS
+as_cr_digits='0123456789'
+as_cr_alnum=$as_cr_Letters$as_cr_digits
+
+# The user is always right.
+if test "${PATH_SEPARATOR+set}" != set; then
+ echo "#! /bin/sh" >conf$$.sh
+ echo "exit 0" >>conf$$.sh
+ chmod +x conf$$.sh
+ if (PATH="/nonexistent;."; conf$$.sh) >/dev/null 2>&1; then
+ PATH_SEPARATOR=';'
+ else
+ PATH_SEPARATOR=:
+ fi
+ rm -f conf$$.sh
+fi
+
+
+ as_lineno_1=$LINENO
+ as_lineno_2=$LINENO
+ as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null`
+ test "x$as_lineno_1" != "x$as_lineno_2" &&
+ test "x$as_lineno_3" = "x$as_lineno_2" || {
+ # Find who we are. Look in the path if we contain no path at all
+ # relative or not.
+ case $0 in
+ *[\\/]* ) as_myself=$0 ;;
+ *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break
+done
+
+ ;;
+ esac
+ # We did not find ourselves, most probably we were run as `sh COMMAND'
+ # in which case we are not to be found in the path.
+ if test "x$as_myself" = x; then
+ as_myself=$0
+ fi
+ if test ! -f "$as_myself"; then
+ { echo "$as_me: error: cannot find myself; rerun with an absolute path" >&2
+ { (exit 1); exit 1; }; }
+ fi
+ case $CONFIG_SHELL in
+ '')
+ as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ for as_base in sh bash ksh sh5; do
+ case $as_dir in
+ /*)
+ if ("$as_dir/$as_base" -c '
+ as_lineno_1=$LINENO
+ as_lineno_2=$LINENO
+ as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null`
+ test "x$as_lineno_1" != "x$as_lineno_2" &&
+ test "x$as_lineno_3" = "x$as_lineno_2" ') 2>/dev/null; then
+ $as_unset BASH_ENV || test "${BASH_ENV+set}" != set || { BASH_ENV=; export BASH_ENV; }
+ $as_unset ENV || test "${ENV+set}" != set || { ENV=; export ENV; }
+ CONFIG_SHELL=$as_dir/$as_base
+ export CONFIG_SHELL
+ exec "$CONFIG_SHELL" "$0" ${1+"$@"}
+ fi;;
+ esac
+ done
+done
+;;
+ esac
+
+ # Create $as_me.lineno as a copy of $as_myself, but with $LINENO
+ # uniformly replaced by the line number. The first 'sed' inserts a
+ # line-number line before each line; the second 'sed' does the real
+ # work. The second script uses 'N' to pair each line-number line
+ # with the numbered line, and appends trailing '-' during
+ # substitution so that $LINENO is not a special case at line end.
+ # (Raja R Harinath suggested sed '=', and Paul Eggert wrote the
+ # second 'sed' script. Blame Lee E. McMahon for sed's syntax. :-)
+ sed '=' <$as_myself |
+ sed '
+ N
+ s,$,-,
+ : loop
+ s,^\(['$as_cr_digits']*\)\(.*\)[$]LINENO\([^'$as_cr_alnum'_]\),\1\2\1\3,
+ t loop
+ s,-$,,
+ s,^['$as_cr_digits']*\n,,
+ ' >$as_me.lineno &&
+ chmod +x $as_me.lineno ||
+ { echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2
+ { (exit 1); exit 1; }; }
+
+ # Don't try to exec as it changes $[0], causing all sort of problems
+ # (the dirname of $[0] is not the place where we might find the
+ # original and so on. Autoconf is especially sensible to this).
+ . ./$as_me.lineno
+ # Exit status is that of the last command.
+ exit
+}
+
+
+case `echo "testing\c"; echo 1,2,3`,`echo -n testing; echo 1,2,3` in
+ *c*,-n*) ECHO_N= ECHO_C='
+' ECHO_T=' ' ;;
+ *c*,* ) ECHO_N=-n ECHO_C= ECHO_T= ;;
+ *) ECHO_N= ECHO_C='\c' ECHO_T= ;;
+esac
+
+if expr a : '\(a\)' >/dev/null 2>&1; then
+ as_expr=expr
+else
+ as_expr=false
+fi
+
+rm -f conf$$ conf$$.exe conf$$.file
+echo >conf$$.file
+if ln -s conf$$.file conf$$ 2>/dev/null; then
+ # We could just check for DJGPP; but this test a) works b) is more generic
+ # and c) will remain valid once DJGPP supports symlinks (DJGPP 2.04).
+ if test -f conf$$.exe; then
+ # Don't use ln at all; we don't have any links
+ as_ln_s='cp -p'
+ else
+ as_ln_s='ln -s'
+ fi
+elif ln conf$$.file conf$$ 2>/dev/null; then
+ as_ln_s=ln
+else
+ as_ln_s='cp -p'
+fi
+rm -f conf$$ conf$$.exe conf$$.file
+
+if mkdir -p . 2>/dev/null; then
+ as_mkdir_p=:
+else
+ test -d ./-p && rmdir ./-p
+ as_mkdir_p=false
+fi
+
+as_executable_p="test -f"
+
+# Sed expression to map a string onto a valid CPP name.
+as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'"
+
+# Sed expression to map a string onto a valid variable name.
+as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'"
+
+
+# IFS
+# We need space, tab and new line, in precisely that order.
+as_nl='
+'
+IFS=" $as_nl"
+
+# CDPATH.
+$as_unset CDPATH
+
+
+# Name of the host.
+# hostname on some systems (SVR3.2, Linux) returns a bogus exit status,
+# so uname gets run too.
+ac_hostname=`(hostname || uname -n) 2>/dev/null | sed 1q`
+
+exec 6>&1
+
+#
+# Initializations.
+#
+ac_default_prefix=/usr/local
+ac_config_libobj_dir=.
+cross_compiling=no
+subdirs=
+MFLAGS=
+MAKEFLAGS=
+SHELL=${CONFIG_SHELL-/bin/sh}
+
+# Maximum number of lines to put in a shell here document.
+# This variable seems obsolete. It should probably be removed, and
+# only ac_max_sed_lines should be used.
+: ${ac_max_here_lines=38}
+
+# Identity of this package.
+PACKAGE_NAME='fdlibm'
+PACKAGE_TARNAME='fdlibm'
+PACKAGE_VERSION='5.3'
+PACKAGE_STRING='fdlibm 5.3'
+PACKAGE_BUGREPORT='FDLIBM COMMENTS <fdlibm-comments AT sun.com>'
+
+ac_unique_file="e_acos.c"
+ac_subst_vars='SHELL PATH_SEPARATOR PACKAGE_NAME PACKAGE_TARNAME PACKAGE_VERSION PACKAGE_STRING PACKAGE_BUGREPORT exec_prefix prefix program_transform_name bindir sbindir libexecdir datadir sysconfdir sharedstatedir localstatedir libdir includedir oldincludedir infodir mandir build_alias host_alias target_alias DEFS ECHO_C ECHO_N ECHO_T LIBS CC CFLAGS LDFLAGS CPPFLAGS ac_ct_CC EXEEXT OBJEXT AR CHMOD CP RANLIB RM LIBOBJS LTLIBOBJS'
+ac_subst_files=''
+
+# Initialize some variables set by options.
+ac_init_help=
+ac_init_version=false
+# The variables have the same names as the options, with
+# dashes changed to underlines.
+cache_file=/dev/null
+exec_prefix=NONE
+no_create=
+no_recursion=
+prefix=NONE
+program_prefix=NONE
+program_suffix=NONE
+program_transform_name=s,x,x,
+silent=
+site=
+srcdir=
+verbose=
+x_includes=NONE
+x_libraries=NONE
+
+# Installation directory options.
+# These are left unexpanded so users can "make install exec_prefix=/foo"
+# and all the variables that are supposed to be based on exec_prefix
+# by default will actually change.
+# Use braces instead of parens because sh, perl, etc. also accept them.
+bindir='${exec_prefix}/bin'
+sbindir='${exec_prefix}/sbin'
+libexecdir='${exec_prefix}/libexec'
+datadir='${prefix}/share'
+sysconfdir='${prefix}/etc'
+sharedstatedir='${prefix}/com'
+localstatedir='${prefix}/var'
+libdir='${exec_prefix}/lib'
+includedir='${prefix}/include'
+oldincludedir='/usr/include'
+infodir='${prefix}/info'
+mandir='${prefix}/man'
+
+ac_prev=
+for ac_option
+do
+ # If the previous option needs an argument, assign it.
+ if test -n "$ac_prev"; then
+ eval "$ac_prev=\$ac_option"
+ ac_prev=
+ continue
+ fi
+
+ ac_optarg=`expr "x$ac_option" : 'x[^=]*=\(.*\)'`
+
+ # Accept the important Cygnus configure options, so we can diagnose typos.
+
+ case $ac_option in
+
+ -bindir | --bindir | --bindi | --bind | --bin | --bi)
+ ac_prev=bindir ;;
+ -bindir=* | --bindir=* | --bindi=* | --bind=* | --bin=* | --bi=*)
+ bindir=$ac_optarg ;;
+
+ -build | --build | --buil | --bui | --bu)
+ ac_prev=build_alias ;;
+ -build=* | --build=* | --buil=* | --bui=* | --bu=*)
+ build_alias=$ac_optarg ;;
+
+ -cache-file | --cache-file | --cache-fil | --cache-fi \
+ | --cache-f | --cache- | --cache | --cach | --cac | --ca | --c)
+ ac_prev=cache_file ;;
+ -cache-file=* | --cache-file=* | --cache-fil=* | --cache-fi=* \
+ | --cache-f=* | --cache-=* | --cache=* | --cach=* | --cac=* | --ca=* | --c=*)
+ cache_file=$ac_optarg ;;
+
+ --config-cache | -C)
+ cache_file=config.cache ;;
+
+ -datadir | --datadir | --datadi | --datad | --data | --dat | --da)
+ ac_prev=datadir ;;
+ -datadir=* | --datadir=* | --datadi=* | --datad=* | --data=* | --dat=* \
+ | --da=*)
+ datadir=$ac_optarg ;;
+
+ -disable-* | --disable-*)
+ ac_feature=`expr "x$ac_option" : 'x-*disable-\(.*\)'`
+ # Reject names that are not valid shell variable names.
+ expr "x$ac_feature" : ".*[^-_$as_cr_alnum]" >/dev/null &&
+ { echo "$as_me: error: invalid feature name: $ac_feature" >&2
+ { (exit 1); exit 1; }; }
+ ac_feature=`echo $ac_feature | sed 's/-/_/g'`
+ eval "enable_$ac_feature=no" ;;
+
+ -enable-* | --enable-*)
+ ac_feature=`expr "x$ac_option" : 'x-*enable-\([^=]*\)'`
+ # Reject names that are not valid shell variable names.
+ expr "x$ac_feature" : ".*[^-_$as_cr_alnum]" >/dev/null &&
+ { echo "$as_me: error: invalid feature name: $ac_feature" >&2
+ { (exit 1); exit 1; }; }
+ ac_feature=`echo $ac_feature | sed 's/-/_/g'`
+ case $ac_option in
+ *=*) ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`;;
+ *) ac_optarg=yes ;;
+ esac
+ eval "enable_$ac_feature='$ac_optarg'" ;;
+
+ -exec-prefix | --exec_prefix | --exec-prefix | --exec-prefi \
+ | --exec-pref | --exec-pre | --exec-pr | --exec-p | --exec- \
+ | --exec | --exe | --ex)
+ ac_prev=exec_prefix ;;
+ -exec-prefix=* | --exec_prefix=* | --exec-prefix=* | --exec-prefi=* \
+ | --exec-pref=* | --exec-pre=* | --exec-pr=* | --exec-p=* | --exec-=* \
+ | --exec=* | --exe=* | --ex=*)
+ exec_prefix=$ac_optarg ;;
+
+ -gas | --gas | --ga | --g)
+ # Obsolete; use --with-gas.
+ with_gas=yes ;;
+
+ -help | --help | --hel | --he | -h)
+ ac_init_help=long ;;
+ -help=r* | --help=r* | --hel=r* | --he=r* | -hr*)
+ ac_init_help=recursive ;;
+ -help=s* | --help=s* | --hel=s* | --he=s* | -hs*)
+ ac_init_help=short ;;
+
+ -host | --host | --hos | --ho)
+ ac_prev=host_alias ;;
+ -host=* | --host=* | --hos=* | --ho=*)
+ host_alias=$ac_optarg ;;
+
+ -includedir | --includedir | --includedi | --included | --include \
+ | --includ | --inclu | --incl | --inc)
+ ac_prev=includedir ;;
+ -includedir=* | --includedir=* | --includedi=* | --included=* | --include=* \
+ | --includ=* | --inclu=* | --incl=* | --inc=*)
+ includedir=$ac_optarg ;;
+
+ -infodir | --infodir | --infodi | --infod | --info | --inf)
+ ac_prev=infodir ;;
+ -infodir=* | --infodir=* | --infodi=* | --infod=* | --info=* | --inf=*)
+ infodir=$ac_optarg ;;
+
+ -libdir | --libdir | --libdi | --libd)
+ ac_prev=libdir ;;
+ -libdir=* | --libdir=* | --libdi=* | --libd=*)
+ libdir=$ac_optarg ;;
+
+ -libexecdir | --libexecdir | --libexecdi | --libexecd | --libexec \
+ | --libexe | --libex | --libe)
+ ac_prev=libexecdir ;;
+ -libexecdir=* | --libexecdir=* | --libexecdi=* | --libexecd=* | --libexec=* \
+ | --libexe=* | --libex=* | --libe=*)
+ libexecdir=$ac_optarg ;;
+
+ -localstatedir | --localstatedir | --localstatedi | --localstated \
+ | --localstate | --localstat | --localsta | --localst \
+ | --locals | --local | --loca | --loc | --lo)
+ ac_prev=localstatedir ;;
+ -localstatedir=* | --localstatedir=* | --localstatedi=* | --localstated=* \
+ | --localstate=* | --localstat=* | --localsta=* | --localst=* \
+ | --locals=* | --local=* | --loca=* | --loc=* | --lo=*)
+ localstatedir=$ac_optarg ;;
+
+ -mandir | --mandir | --mandi | --mand | --man | --ma | --m)
+ ac_prev=mandir ;;
+ -mandir=* | --mandir=* | --mandi=* | --mand=* | --man=* | --ma=* | --m=*)
+ mandir=$ac_optarg ;;
+
+ -nfp | --nfp | --nf)
+ # Obsolete; use --without-fp.
+ with_fp=no ;;
+
+ -no-create | --no-create | --no-creat | --no-crea | --no-cre \
+ | --no-cr | --no-c | -n)
+ no_create=yes ;;
+
+ -no-recursion | --no-recursion | --no-recursio | --no-recursi \
+ | --no-recurs | --no-recur | --no-recu | --no-rec | --no-re | --no-r)
+ no_recursion=yes ;;
+
+ -oldincludedir | --oldincludedir | --oldincludedi | --oldincluded \
+ | --oldinclude | --oldinclud | --oldinclu | --oldincl | --oldinc \
+ | --oldin | --oldi | --old | --ol | --o)
+ ac_prev=oldincludedir ;;
+ -oldincludedir=* | --oldincludedir=* | --oldincludedi=* | --oldincluded=* \
+ | --oldinclude=* | --oldinclud=* | --oldinclu=* | --oldincl=* | --oldinc=* \
+ | --oldin=* | --oldi=* | --old=* | --ol=* | --o=*)
+ oldincludedir=$ac_optarg ;;
+
+ -prefix | --prefix | --prefi | --pref | --pre | --pr | --p)
+ ac_prev=prefix ;;
+ -prefix=* | --prefix=* | --prefi=* | --pref=* | --pre=* | --pr=* | --p=*)
+ prefix=$ac_optarg ;;
+
+ -program-prefix | --program-prefix | --program-prefi | --program-pref \
+ | --program-pre | --program-pr | --program-p)
+ ac_prev=program_prefix ;;
+ -program-prefix=* | --program-prefix=* | --program-prefi=* \
+ | --program-pref=* | --program-pre=* | --program-pr=* | --program-p=*)
+ program_prefix=$ac_optarg ;;
+
+ -program-suffix | --program-suffix | --program-suffi | --program-suff \
+ | --program-suf | --program-su | --program-s)
+ ac_prev=program_suffix ;;
+ -program-suffix=* | --program-suffix=* | --program-suffi=* \
+ | --program-suff=* | --program-suf=* | --program-su=* | --program-s=*)
+ program_suffix=$ac_optarg ;;
+
+ -program-transform-name | --program-transform-name \
+ | --program-transform-nam | --program-transform-na \
+ | --program-transform-n | --program-transform- \
+ | --program-transform | --program-transfor \
+ | --program-transfo | --program-transf \
+ | --program-trans | --program-tran \
+ | --progr-tra | --program-tr | --program-t)
+ ac_prev=program_transform_name ;;
+ -program-transform-name=* | --program-transform-name=* \
+ | --program-transform-nam=* | --program-transform-na=* \
+ | --program-transform-n=* | --program-transform-=* \
+ | --program-transform=* | --program-transfor=* \
+ | --program-transfo=* | --program-transf=* \
+ | --program-trans=* | --program-tran=* \
+ | --progr-tra=* | --program-tr=* | --program-t=*)
+ program_transform_name=$ac_optarg ;;
+
+ -q | -quiet | --quiet | --quie | --qui | --qu | --q \
+ | -silent | --silent | --silen | --sile | --sil)
+ silent=yes ;;
+
+ -sbindir | --sbindir | --sbindi | --sbind | --sbin | --sbi | --sb)
+ ac_prev=sbindir ;;
+ -sbindir=* | --sbindir=* | --sbindi=* | --sbind=* | --sbin=* \
+ | --sbi=* | --sb=*)
+ sbindir=$ac_optarg ;;
+
+ -sharedstatedir | --sharedstatedir | --sharedstatedi \
+ | --sharedstated | --sharedstate | --sharedstat | --sharedsta \
+ | --sharedst | --shareds | --shared | --share | --shar \
+ | --sha | --sh)
+ ac_prev=sharedstatedir ;;
+ -sharedstatedir=* | --sharedstatedir=* | --sharedstatedi=* \
+ | --sharedstated=* | --sharedstate=* | --sharedstat=* | --sharedsta=* \
+ | --sharedst=* | --shareds=* | --shared=* | --share=* | --shar=* \
+ | --sha=* | --sh=*)
+ sharedstatedir=$ac_optarg ;;
+
+ -site | --site | --sit)
+ ac_prev=site ;;
+ -site=* | --site=* | --sit=*)
+ site=$ac_optarg ;;
+
+ -srcdir | --srcdir | --srcdi | --srcd | --src | --sr)
+ ac_prev=srcdir ;;
+ -srcdir=* | --srcdir=* | --srcdi=* | --srcd=* | --src=* | --sr=*)
+ srcdir=$ac_optarg ;;
+
+ -sysconfdir | --sysconfdir | --sysconfdi | --sysconfd | --sysconf \
+ | --syscon | --sysco | --sysc | --sys | --sy)
+ ac_prev=sysconfdir ;;
+ -sysconfdir=* | --sysconfdir=* | --sysconfdi=* | --sysconfd=* | --sysconf=* \
+ | --syscon=* | --sysco=* | --sysc=* | --sys=* | --sy=*)
+ sysconfdir=$ac_optarg ;;
+
+ -target | --target | --targe | --targ | --tar | --ta | --t)
+ ac_prev=target_alias ;;
+ -target=* | --target=* | --targe=* | --targ=* | --tar=* | --ta=* | --t=*)
+ target_alias=$ac_optarg ;;
+
+ -v | -verbose | --verbose | --verbos | --verbo | --verb)
+ verbose=yes ;;
+
+ -version | --version | --versio | --versi | --vers | -V)
+ ac_init_version=: ;;
+
+ -with-* | --with-*)
+ ac_package=`expr "x$ac_option" : 'x-*with-\([^=]*\)'`
+ # Reject names that are not valid shell variable names.
+ expr "x$ac_package" : ".*[^-_$as_cr_alnum]" >/dev/null &&
+ { echo "$as_me: error: invalid package name: $ac_package" >&2
+ { (exit 1); exit 1; }; }
+ ac_package=`echo $ac_package| sed 's/-/_/g'`
+ case $ac_option in
+ *=*) ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`;;
+ *) ac_optarg=yes ;;
+ esac
+ eval "with_$ac_package='$ac_optarg'" ;;
+
+ -without-* | --without-*)
+ ac_package=`expr "x$ac_option" : 'x-*without-\(.*\)'`
+ # Reject names that are not valid shell variable names.
+ expr "x$ac_package" : ".*[^-_$as_cr_alnum]" >/dev/null &&
+ { echo "$as_me: error: invalid package name: $ac_package" >&2
+ { (exit 1); exit 1; }; }
+ ac_package=`echo $ac_package | sed 's/-/_/g'`
+ eval "with_$ac_package=no" ;;
+
+ --x)
+ # Obsolete; use --with-x.
+ with_x=yes ;;
+
+ -x-includes | --x-includes | --x-include | --x-includ | --x-inclu \
+ | --x-incl | --x-inc | --x-in | --x-i)
+ ac_prev=x_includes ;;
+ -x-includes=* | --x-includes=* | --x-include=* | --x-includ=* | --x-inclu=* \
+ | --x-incl=* | --x-inc=* | --x-in=* | --x-i=*)
+ x_includes=$ac_optarg ;;
+
+ -x-libraries | --x-libraries | --x-librarie | --x-librari \
+ | --x-librar | --x-libra | --x-libr | --x-lib | --x-li | --x-l)
+ ac_prev=x_libraries ;;
+ -x-libraries=* | --x-libraries=* | --x-librarie=* | --x-librari=* \
+ | --x-librar=* | --x-libra=* | --x-libr=* | --x-lib=* | --x-li=* | --x-l=*)
+ x_libraries=$ac_optarg ;;
+
+ -*) { echo "$as_me: error: unrecognized option: $ac_option
+Try \`$0 --help' for more information." >&2
+ { (exit 1); exit 1; }; }
+ ;;
+
+ *=*)
+ ac_envvar=`expr "x$ac_option" : 'x\([^=]*\)='`
+ # Reject names that are not valid shell variable names.
+ expr "x$ac_envvar" : ".*[^_$as_cr_alnum]" >/dev/null &&
+ { echo "$as_me: error: invalid variable name: $ac_envvar" >&2
+ { (exit 1); exit 1; }; }
+ ac_optarg=`echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"`
+ eval "$ac_envvar='$ac_optarg'"
+ export $ac_envvar ;;
+
+ *)
+ # FIXME: should be removed in autoconf 3.0.
+ echo "$as_me: WARNING: you should use --build, --host, --target" >&2
+ expr "x$ac_option" : ".*[^-._$as_cr_alnum]" >/dev/null &&
+ echo "$as_me: WARNING: invalid host type: $ac_option" >&2
+ : ${build_alias=$ac_option} ${host_alias=$ac_option} ${target_alias=$ac_option}
+ ;;
+
+ esac
+done
+
+if test -n "$ac_prev"; then
+ ac_option=--`echo $ac_prev | sed 's/_/-/g'`
+ { echo "$as_me: error: missing argument to $ac_option" >&2
+ { (exit 1); exit 1; }; }
+fi
+
+# Be sure to have absolute paths.
+for ac_var in exec_prefix prefix
+do
+ eval ac_val=$`echo $ac_var`
+ case $ac_val in
+ [\\/$]* | ?:[\\/]* | NONE | '' ) ;;
+ *) { echo "$as_me: error: expected an absolute directory name for --$ac_var: $ac_val" >&2
+ { (exit 1); exit 1; }; };;
+ esac
+done
+
+# Be sure to have absolute paths.
+for ac_var in bindir sbindir libexecdir datadir sysconfdir sharedstatedir \
+ localstatedir libdir includedir oldincludedir infodir mandir
+do
+ eval ac_val=$`echo $ac_var`
+ case $ac_val in
+ [\\/$]* | ?:[\\/]* ) ;;
+ *) { echo "$as_me: error: expected an absolute directory name for --$ac_var: $ac_val" >&2
+ { (exit 1); exit 1; }; };;
+ esac
+done
+
+# There might be people who depend on the old broken behavior: `$host'
+# used to hold the argument of --host etc.
+# FIXME: To remove some day.
+build=$build_alias
+host=$host_alias
+target=$target_alias
+
+# FIXME: To remove some day.
+if test "x$host_alias" != x; then
+ if test "x$build_alias" = x; then
+ cross_compiling=maybe
+ echo "$as_me: WARNING: If you wanted to set the --build type, don't use --host.
+ If a cross compiler is detected then cross compile mode will be used." >&2
+ elif test "x$build_alias" != "x$host_alias"; then
+ cross_compiling=yes
+ fi
+fi
+
+ac_tool_prefix=
+test -n "$host_alias" && ac_tool_prefix=$host_alias-
+
+test "$silent" = yes && exec 6>/dev/null
+
+
+# Find the source files, if location was not specified.
+if test -z "$srcdir"; then
+ ac_srcdir_defaulted=yes
+ # Try the directory containing this script, then its parent.
+ ac_confdir=`(dirname "$0") 2>/dev/null ||
+$as_expr X"$0" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \
+ X"$0" : 'X\(//\)[^/]' \| \
+ X"$0" : 'X\(//\)$' \| \
+ X"$0" : 'X\(/\)' \| \
+ . : '\(.\)' 2>/dev/null ||
+echo X"$0" |
+ sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ s//\1/; q; }
+ /^X\(\/\/\)[^/].*/{ s//\1/; q; }
+ /^X\(\/\/\)$/{ s//\1/; q; }
+ /^X\(\/\).*/{ s//\1/; q; }
+ s/.*/./; q'`
+ srcdir=$ac_confdir
+ if test ! -r $srcdir/$ac_unique_file; then
+ srcdir=..
+ fi
+else
+ ac_srcdir_defaulted=no
+fi
+if test ! -r $srcdir/$ac_unique_file; then
+ if test "$ac_srcdir_defaulted" = yes; then
+ { echo "$as_me: error: cannot find sources ($ac_unique_file) in $ac_confdir or .." >&2
+ { (exit 1); exit 1; }; }
+ else
+ { echo "$as_me: error: cannot find sources ($ac_unique_file) in $srcdir" >&2
+ { (exit 1); exit 1; }; }
+ fi
+fi
+(cd $srcdir && test -r ./$ac_unique_file) 2>/dev/null ||
+ { echo "$as_me: error: sources are in $srcdir, but \`cd $srcdir' does not work" >&2
+ { (exit 1); exit 1; }; }
+srcdir=`echo "$srcdir" | sed 's%\([^\\/]\)[\\/]*$%\1%'`
+ac_env_build_alias_set=${build_alias+set}
+ac_env_build_alias_value=$build_alias
+ac_cv_env_build_alias_set=${build_alias+set}
+ac_cv_env_build_alias_value=$build_alias
+ac_env_host_alias_set=${host_alias+set}
+ac_env_host_alias_value=$host_alias
+ac_cv_env_host_alias_set=${host_alias+set}
+ac_cv_env_host_alias_value=$host_alias
+ac_env_target_alias_set=${target_alias+set}
+ac_env_target_alias_value=$target_alias
+ac_cv_env_target_alias_set=${target_alias+set}
+ac_cv_env_target_alias_value=$target_alias
+ac_env_CC_set=${CC+set}
+ac_env_CC_value=$CC
+ac_cv_env_CC_set=${CC+set}
+ac_cv_env_CC_value=$CC
+ac_env_CFLAGS_set=${CFLAGS+set}
+ac_env_CFLAGS_value=$CFLAGS
+ac_cv_env_CFLAGS_set=${CFLAGS+set}
+ac_cv_env_CFLAGS_value=$CFLAGS
+ac_env_LDFLAGS_set=${LDFLAGS+set}
+ac_env_LDFLAGS_value=$LDFLAGS
+ac_cv_env_LDFLAGS_set=${LDFLAGS+set}
+ac_cv_env_LDFLAGS_value=$LDFLAGS
+ac_env_CPPFLAGS_set=${CPPFLAGS+set}
+ac_env_CPPFLAGS_value=$CPPFLAGS
+ac_cv_env_CPPFLAGS_set=${CPPFLAGS+set}
+ac_cv_env_CPPFLAGS_value=$CPPFLAGS
+
+#
+# Report the --help message.
+#
+if test "$ac_init_help" = "long"; then
+ # Omit some internal or obsolete options to make the list less imposing.
+ # This message is too long to be a string in the A/UX 3.1 sh.
+ cat <<_ACEOF
+\`configure' configures fdlibm 5.3 to adapt to many kinds of systems.
+
+Usage: $0 [OPTION]... [VAR=VALUE]...
+
+To assign environment variables (e.g., CC, CFLAGS...), specify them as
+VAR=VALUE. See below for descriptions of some of the useful variables.
+
+Defaults for the options are specified in brackets.
+
+Configuration:
+ -h, --help display this help and exit
+ --help=short display options specific to this package
+ --help=recursive display the short help of all the included packages
+ -V, --version display version information and exit
+ -q, --quiet, --silent do not print \`checking...' messages
+ --cache-file=FILE cache test results in FILE [disabled]
+ -C, --config-cache alias for \`--cache-file=config.cache'
+ -n, --no-create do not create output files
+ --srcdir=DIR find the sources in DIR [configure dir or \`..']
+
+_ACEOF
+
+ cat <<_ACEOF
+Installation directories:
+ --prefix=PREFIX install architecture-independent files in PREFIX
+ [$ac_default_prefix]
+ --exec-prefix=EPREFIX install architecture-dependent files in EPREFIX
+ [PREFIX]
+
+By default, \`make install' will install all the files in
+\`$ac_default_prefix/bin', \`$ac_default_prefix/lib' etc. You can specify
+an installation prefix other than \`$ac_default_prefix' using \`--prefix',
+for instance \`--prefix=\$HOME'.
+
+For better control, use the options below.
+
+Fine tuning of the installation directories:
+ --bindir=DIR user executables [EPREFIX/bin]
+ --sbindir=DIR system admin executables [EPREFIX/sbin]
+ --libexecdir=DIR program executables [EPREFIX/libexec]
+ --datadir=DIR read-only architecture-independent data [PREFIX/share]
+ --sysconfdir=DIR read-only single-machine data [PREFIX/etc]
+ --sharedstatedir=DIR modifiable architecture-independent data [PREFIX/com]
+ --localstatedir=DIR modifiable single-machine data [PREFIX/var]
+ --libdir=DIR object code libraries [EPREFIX/lib]
+ --includedir=DIR C header files [PREFIX/include]
+ --oldincludedir=DIR C header files for non-gcc [/usr/include]
+ --infodir=DIR info documentation [PREFIX/info]
+ --mandir=DIR man documentation [PREFIX/man]
+_ACEOF
+
+ cat <<\_ACEOF
+_ACEOF
+fi
+
+if test -n "$ac_init_help"; then
+ case $ac_init_help in
+ short | recursive ) echo "Configuration of fdlibm 5.3:";;
+ esac
+ cat <<\_ACEOF
+
+Some influential environment variables:
+ CC C compiler command
+ CFLAGS C compiler flags
+ LDFLAGS linker flags, e.g. -L<lib dir> if you have libraries in a
+ nonstandard directory <lib dir>
+ CPPFLAGS C/C++ preprocessor flags, e.g. -I<include dir> if you have
+ headers in a nonstandard directory <include dir>
+
+Use these variables to override the choices made by `configure' or to help
+it to find libraries and programs with nonstandard names/locations.
+
+Report bugs to <FDLIBM COMMENTS <fdlibm-comments AT sun.com>>
+_ACEOF
+fi
+
+if test "$ac_init_help" = "recursive"; then
+ # If there are subdirs, report their specific --help.
+ ac_popdir=`pwd`
+ for ac_dir in : $ac_subdirs_all; do test "x$ac_dir" = x: && continue
+ test -d $ac_dir || continue
+ ac_builddir=.
+
+if test "$ac_dir" != .; then
+ ac_dir_suffix=/`echo "$ac_dir" | sed 's,^\.[\\/],,'`
+ # A "../" for each directory in $ac_dir_suffix.
+ ac_top_builddir=`echo "$ac_dir_suffix" | sed 's,/[^\\/]*,../,g'`
+else
+ ac_dir_suffix= ac_top_builddir=
+fi
+
+case $srcdir in
+ .) # No --srcdir option. We are building in place.
+ ac_srcdir=.
+ if test -z "$ac_top_builddir"; then
+ ac_top_srcdir=.
+ else
+ ac_top_srcdir=`echo $ac_top_builddir | sed 's,/$,,'`
+ fi ;;
+ [\\/]* | ?:[\\/]* ) # Absolute path.
+ ac_srcdir=$srcdir$ac_dir_suffix;
+ ac_top_srcdir=$srcdir ;;
+ *) # Relative path.
+ ac_srcdir=$ac_top_builddir$srcdir$ac_dir_suffix
+ ac_top_srcdir=$ac_top_builddir$srcdir ;;
+esac
+
+# Do not use `cd foo && pwd` to compute absolute paths, because
+# the directories may not exist.
+case `pwd` in
+.) ac_abs_builddir="$ac_dir";;
+*)
+ case "$ac_dir" in
+ .) ac_abs_builddir=`pwd`;;
+ [\\/]* | ?:[\\/]* ) ac_abs_builddir="$ac_dir";;
+ *) ac_abs_builddir=`pwd`/"$ac_dir";;
+ esac;;
+esac
+case $ac_abs_builddir in
+.) ac_abs_top_builddir=${ac_top_builddir}.;;
+*)
+ case ${ac_top_builddir}. in
+ .) ac_abs_top_builddir=$ac_abs_builddir;;
+ [\\/]* | ?:[\\/]* ) ac_abs_top_builddir=${ac_top_builddir}.;;
+ *) ac_abs_top_builddir=$ac_abs_builddir/${ac_top_builddir}.;;
+ esac;;
+esac
+case $ac_abs_builddir in
+.) ac_abs_srcdir=$ac_srcdir;;
+*)
+ case $ac_srcdir in
+ .) ac_abs_srcdir=$ac_abs_builddir;;
+ [\\/]* | ?:[\\/]* ) ac_abs_srcdir=$ac_srcdir;;
+ *) ac_abs_srcdir=$ac_abs_builddir/$ac_srcdir;;
+ esac;;
+esac
+case $ac_abs_builddir in
+.) ac_abs_top_srcdir=$ac_top_srcdir;;
+*)
+ case $ac_top_srcdir in
+ .) ac_abs_top_srcdir=$ac_abs_builddir;;
+ [\\/]* | ?:[\\/]* ) ac_abs_top_srcdir=$ac_top_srcdir;;
+ *) ac_abs_top_srcdir=$ac_abs_builddir/$ac_top_srcdir;;
+ esac;;
+esac
+
+ cd $ac_dir
+ # Check for guested configure; otherwise get Cygnus style configure.
+ if test -f $ac_srcdir/configure.gnu; then
+ echo
+ $SHELL $ac_srcdir/configure.gnu --help=recursive
+ elif test -f $ac_srcdir/configure; then
+ echo
+ $SHELL $ac_srcdir/configure --help=recursive
+ elif test -f $ac_srcdir/configure.ac ||
+ test -f $ac_srcdir/configure.in; then
+ echo
+ $ac_configure --help
+ else
+ echo "$as_me: WARNING: no configuration information is in $ac_dir" >&2
+ fi
+ cd $ac_popdir
+ done
+fi
+
+test -n "$ac_init_help" && exit 0
+if $ac_init_version; then
+ cat <<\_ACEOF
+fdlibm configure 5.3
+generated by GNU Autoconf 2.59
+
+Copyright (C) 2003 Free Software Foundation, Inc.
+This configure script is free software; the Free Software Foundation
+gives unlimited permission to copy, distribute and modify it.
+_ACEOF
+ exit 0
+fi
+exec 5>config.log
+cat >&5 <<_ACEOF
+This file contains any messages produced by compilers while
+running configure, to aid debugging if configure makes a mistake.
+
+It was created by fdlibm $as_me 5.3, which was
+generated by GNU Autoconf 2.59. Invocation command line was
+
+ $ $0 $@
+
+_ACEOF
+{
+cat <<_ASUNAME
+## --------- ##
+## Platform. ##
+## --------- ##
+
+hostname = `(hostname || uname -n) 2>/dev/null | sed 1q`
+uname -m = `(uname -m) 2>/dev/null || echo unknown`
+uname -r = `(uname -r) 2>/dev/null || echo unknown`
+uname -s = `(uname -s) 2>/dev/null || echo unknown`
+uname -v = `(uname -v) 2>/dev/null || echo unknown`
+
+/usr/bin/uname -p = `(/usr/bin/uname -p) 2>/dev/null || echo unknown`
+/bin/uname -X = `(/bin/uname -X) 2>/dev/null || echo unknown`
+
+/bin/arch = `(/bin/arch) 2>/dev/null || echo unknown`
+/usr/bin/arch -k = `(/usr/bin/arch -k) 2>/dev/null || echo unknown`
+/usr/convex/getsysinfo = `(/usr/convex/getsysinfo) 2>/dev/null || echo unknown`
+hostinfo = `(hostinfo) 2>/dev/null || echo unknown`
+/bin/machine = `(/bin/machine) 2>/dev/null || echo unknown`
+/usr/bin/oslevel = `(/usr/bin/oslevel) 2>/dev/null || echo unknown`
+/bin/universe = `(/bin/universe) 2>/dev/null || echo unknown`
+
+_ASUNAME
+
+as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ echo "PATH: $as_dir"
+done
+
+} >&5
+
+cat >&5 <<_ACEOF
+
+
+## ----------- ##
+## Core tests. ##
+## ----------- ##
+
+_ACEOF
+
+
+# Keep a trace of the command line.
+# Strip out --no-create and --no-recursion so they do not pile up.
+# Strip out --silent because we don't want to record it for future runs.
+# Also quote any args containing shell meta-characters.
+# Make two passes to allow for proper duplicate-argument suppression.
+ac_configure_args=
+ac_configure_args0=
+ac_configure_args1=
+ac_sep=
+ac_must_keep_next=false
+for ac_pass in 1 2
+do
+ for ac_arg
+ do
+ case $ac_arg in
+ -no-create | --no-c* | -n | -no-recursion | --no-r*) continue ;;
+ -q | -quiet | --quiet | --quie | --qui | --qu | --q \
+ | -silent | --silent | --silen | --sile | --sil)
+ continue ;;
+ *" "*|*" "*|*[\[\]\~\#\$\^\&\*\(\)\{\}\\\|\;\<\>\?\"\']*)
+ ac_arg=`echo "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;;
+ esac
+ case $ac_pass in
+ 1) ac_configure_args0="$ac_configure_args0 '$ac_arg'" ;;
+ 2)
+ ac_configure_args1="$ac_configure_args1 '$ac_arg'"
+ if test $ac_must_keep_next = true; then
+ ac_must_keep_next=false # Got value, back to normal.
+ else
+ case $ac_arg in
+ *=* | --config-cache | -C | -disable-* | --disable-* \
+ | -enable-* | --enable-* | -gas | --g* | -nfp | --nf* \
+ | -q | -quiet | --q* | -silent | --sil* | -v | -verb* \
+ | -with-* | --with-* | -without-* | --without-* | --x)
+ case "$ac_configure_args0 " in
+ "$ac_configure_args1"*" '$ac_arg' "* ) continue ;;
+ esac
+ ;;
+ -* ) ac_must_keep_next=true ;;
+ esac
+ fi
+ ac_configure_args="$ac_configure_args$ac_sep'$ac_arg'"
+ # Get rid of the leading space.
+ ac_sep=" "
+ ;;
+ esac
+ done
+done
+$as_unset ac_configure_args0 || test "${ac_configure_args0+set}" != set || { ac_configure_args0=; export ac_configure_args0; }
+$as_unset ac_configure_args1 || test "${ac_configure_args1+set}" != set || { ac_configure_args1=; export ac_configure_args1; }
+
+# When interrupted or exit'd, cleanup temporary files, and complete
+# config.log. We remove comments because anyway the quotes in there
+# would cause problems or look ugly.
+# WARNING: Be sure not to use single quotes in there, as some shells,
+# such as our DU 5.0 friend, will then `close' the trap.
+trap 'exit_status=$?
+ # Save into config.log some information that might help in debugging.
+ {
+ echo
+
+ cat <<\_ASBOX
+## ---------------- ##
+## Cache variables. ##
+## ---------------- ##
+_ASBOX
+ echo
+ # The following way of writing the cache mishandles newlines in values,
+{
+ (set) 2>&1 |
+ case `(ac_space='"'"' '"'"'; set | grep ac_space) 2>&1` in
+ *ac_space=\ *)
+ sed -n \
+ "s/'"'"'/'"'"'\\\\'"'"''"'"'/g;
+ s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='"'"'\\2'"'"'/p"
+ ;;
+ *)
+ sed -n \
+ "s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1=\\2/p"
+ ;;
+ esac;
+}
+ echo
+
+ cat <<\_ASBOX
+## ----------------- ##
+## Output variables. ##
+## ----------------- ##
+_ASBOX
+ echo
+ for ac_var in $ac_subst_vars
+ do
+ eval ac_val=$`echo $ac_var`
+ echo "$ac_var='"'"'$ac_val'"'"'"
+ done | sort
+ echo
+
+ if test -n "$ac_subst_files"; then
+ cat <<\_ASBOX
+## ------------- ##
+## Output files. ##
+## ------------- ##
+_ASBOX
+ echo
+ for ac_var in $ac_subst_files
+ do
+ eval ac_val=$`echo $ac_var`
+ echo "$ac_var='"'"'$ac_val'"'"'"
+ done | sort
+ echo
+ fi
+
+ if test -s confdefs.h; then
+ cat <<\_ASBOX
+## ----------- ##
+## confdefs.h. ##
+## ----------- ##
+_ASBOX
+ echo
+ sed "/^$/d" confdefs.h | sort
+ echo
+ fi
+ test "$ac_signal" != 0 &&
+ echo "$as_me: caught signal $ac_signal"
+ echo "$as_me: exit $exit_status"
+ } >&5
+ rm -f core *.core &&
+ rm -rf conftest* confdefs* conf$$* $ac_clean_files &&
+ exit $exit_status
+ ' 0
+for ac_signal in 1 2 13 15; do
+ trap 'ac_signal='$ac_signal'; { (exit 1); exit 1; }' $ac_signal
+done
+ac_signal=0
+
+# confdefs.h avoids OS command line length limits that DEFS can exceed.
+rm -rf conftest* confdefs.h
+# AIX cpp loses on an empty file, so make sure it contains at least a newline.
+echo >confdefs.h
+
+# Predefined preprocessor variables.
+
+cat >>confdefs.h <<_ACEOF
+#define PACKAGE_NAME "$PACKAGE_NAME"
+_ACEOF
+
+
+cat >>confdefs.h <<_ACEOF
+#define PACKAGE_TARNAME "$PACKAGE_TARNAME"
+_ACEOF
+
+
+cat >>confdefs.h <<_ACEOF
+#define PACKAGE_VERSION "$PACKAGE_VERSION"
+_ACEOF
+
+
+cat >>confdefs.h <<_ACEOF
+#define PACKAGE_STRING "$PACKAGE_STRING"
+_ACEOF
+
+
+cat >>confdefs.h <<_ACEOF
+#define PACKAGE_BUGREPORT "$PACKAGE_BUGREPORT"
+_ACEOF
+
+
+# Let the site file select an alternate cache file if it wants to.
+# Prefer explicitly selected file to automatically selected ones.
+if test -z "$CONFIG_SITE"; then
+ if test "x$prefix" != xNONE; then
+ CONFIG_SITE="$prefix/share/config.site $prefix/etc/config.site"
+ else
+ CONFIG_SITE="$ac_default_prefix/share/config.site $ac_default_prefix/etc/config.site"
+ fi
+fi
+for ac_site_file in $CONFIG_SITE; do
+ if test -r "$ac_site_file"; then
+ { echo "$as_me:$LINENO: loading site script $ac_site_file" >&5
+echo "$as_me: loading site script $ac_site_file" >&6;}
+ sed 's/^/| /' "$ac_site_file" >&5
+ . "$ac_site_file"
+ fi
+done
+
+if test -r "$cache_file"; then
+ # Some versions of bash will fail to source /dev/null (special
+ # files actually), so we avoid doing that.
+ if test -f "$cache_file"; then
+ { echo "$as_me:$LINENO: loading cache $cache_file" >&5
+echo "$as_me: loading cache $cache_file" >&6;}
+ case $cache_file in
+ [\\/]* | ?:[\\/]* ) . $cache_file;;
+ *) . ./$cache_file;;
+ esac
+ fi
+else
+ { echo "$as_me:$LINENO: creating cache $cache_file" >&5
+echo "$as_me: creating cache $cache_file" >&6;}
+ >$cache_file
+fi
+
+# Check that the precious variables saved in the cache have kept the same
+# value.
+ac_cache_corrupted=false
+for ac_var in `(set) 2>&1 |
+ sed -n 's/^ac_env_\([a-zA-Z_0-9]*\)_set=.*/\1/p'`; do
+ eval ac_old_set=\$ac_cv_env_${ac_var}_set
+ eval ac_new_set=\$ac_env_${ac_var}_set
+ eval ac_old_val="\$ac_cv_env_${ac_var}_value"
+ eval ac_new_val="\$ac_env_${ac_var}_value"
+ case $ac_old_set,$ac_new_set in
+ set,)
+ { echo "$as_me:$LINENO: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5
+echo "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;}
+ ac_cache_corrupted=: ;;
+ ,set)
+ { echo "$as_me:$LINENO: error: \`$ac_var' was not set in the previous run" >&5
+echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;}
+ ac_cache_corrupted=: ;;
+ ,);;
+ *)
+ if test "x$ac_old_val" != "x$ac_new_val"; then
+ { echo "$as_me:$LINENO: error: \`$ac_var' has changed since the previous run:" >&5
+echo "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;}
+ { echo "$as_me:$LINENO: former value: $ac_old_val" >&5
+echo "$as_me: former value: $ac_old_val" >&2;}
+ { echo "$as_me:$LINENO: current value: $ac_new_val" >&5
+echo "$as_me: current value: $ac_new_val" >&2;}
+ ac_cache_corrupted=:
+ fi;;
+ esac
+ # Pass precious variables to config.status.
+ if test "$ac_new_set" = set; then
+ case $ac_new_val in
+ *" "*|*" "*|*[\[\]\~\#\$\^\&\*\(\)\{\}\\\|\;\<\>\?\"\']*)
+ ac_arg=$ac_var=`echo "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;;
+ *) ac_arg=$ac_var=$ac_new_val ;;
+ esac
+ case " $ac_configure_args " in
+ *" '$ac_arg' "*) ;; # Avoid dups. Use of quotes ensures accuracy.
+ *) ac_configure_args="$ac_configure_args '$ac_arg'" ;;
+ esac
+ fi
+done
+if $ac_cache_corrupted; then
+ { echo "$as_me:$LINENO: error: changes in the environment can compromise the build" >&5
+echo "$as_me: error: changes in the environment can compromise the build" >&2;}
+ { { echo "$as_me:$LINENO: error: run \`make distclean' and/or \`rm $cache_file' and start over" >&5
+echo "$as_me: error: run \`make distclean' and/or \`rm $cache_file' and start over" >&2;}
+ { (exit 1); exit 1; }; }
+fi
+
+ac_ext=c
+ac_cpp='$CPP $CPPFLAGS'
+ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5'
+ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5'
+ac_compiler_gnu=$ac_cv_c_compiler_gnu
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ac_ext=c
+ac_cpp='$CPP $CPPFLAGS'
+ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5'
+ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5'
+ac_compiler_gnu=$ac_cv_c_compiler_gnu
+if test -n "$ac_tool_prefix"; then
+ # Extract the first word of "${ac_tool_prefix}gcc", so it can be a program name with args.
+set dummy ${ac_tool_prefix}gcc; ac_word=$2
+echo "$as_me:$LINENO: checking for $ac_word" >&5
+echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6
+if test "${ac_cv_prog_CC+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ if test -n "$CC"; then
+ ac_cv_prog_CC="$CC" # Let the user override the test.
+else
+as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ for ac_exec_ext in '' $ac_executable_extensions; do
+ if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then
+ ac_cv_prog_CC="${ac_tool_prefix}gcc"
+ echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5
+ break 2
+ fi
+done
+done
+
+fi
+fi
+CC=$ac_cv_prog_CC
+if test -n "$CC"; then
+ echo "$as_me:$LINENO: result: $CC" >&5
+echo "${ECHO_T}$CC" >&6
+else
+ echo "$as_me:$LINENO: result: no" >&5
+echo "${ECHO_T}no" >&6
+fi
+
+fi
+if test -z "$ac_cv_prog_CC"; then
+ ac_ct_CC=$CC
+ # Extract the first word of "gcc", so it can be a program name with args.
+set dummy gcc; ac_word=$2
+echo "$as_me:$LINENO: checking for $ac_word" >&5
+echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6
+if test "${ac_cv_prog_ac_ct_CC+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ if test -n "$ac_ct_CC"; then
+ ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test.
+else
+as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ for ac_exec_ext in '' $ac_executable_extensions; do
+ if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then
+ ac_cv_prog_ac_ct_CC="gcc"
+ echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5
+ break 2
+ fi
+done
+done
+
+fi
+fi
+ac_ct_CC=$ac_cv_prog_ac_ct_CC
+if test -n "$ac_ct_CC"; then
+ echo "$as_me:$LINENO: result: $ac_ct_CC" >&5
+echo "${ECHO_T}$ac_ct_CC" >&6
+else
+ echo "$as_me:$LINENO: result: no" >&5
+echo "${ECHO_T}no" >&6
+fi
+
+ CC=$ac_ct_CC
+else
+ CC="$ac_cv_prog_CC"
+fi
+
+if test -z "$CC"; then
+ if test -n "$ac_tool_prefix"; then
+ # Extract the first word of "${ac_tool_prefix}cc", so it can be a program name with args.
+set dummy ${ac_tool_prefix}cc; ac_word=$2
+echo "$as_me:$LINENO: checking for $ac_word" >&5
+echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6
+if test "${ac_cv_prog_CC+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ if test -n "$CC"; then
+ ac_cv_prog_CC="$CC" # Let the user override the test.
+else
+as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ for ac_exec_ext in '' $ac_executable_extensions; do
+ if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then
+ ac_cv_prog_CC="${ac_tool_prefix}cc"
+ echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5
+ break 2
+ fi
+done
+done
+
+fi
+fi
+CC=$ac_cv_prog_CC
+if test -n "$CC"; then
+ echo "$as_me:$LINENO: result: $CC" >&5
+echo "${ECHO_T}$CC" >&6
+else
+ echo "$as_me:$LINENO: result: no" >&5
+echo "${ECHO_T}no" >&6
+fi
+
+fi
+if test -z "$ac_cv_prog_CC"; then
+ ac_ct_CC=$CC
+ # Extract the first word of "cc", so it can be a program name with args.
+set dummy cc; ac_word=$2
+echo "$as_me:$LINENO: checking for $ac_word" >&5
+echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6
+if test "${ac_cv_prog_ac_ct_CC+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ if test -n "$ac_ct_CC"; then
+ ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test.
+else
+as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ for ac_exec_ext in '' $ac_executable_extensions; do
+ if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then
+ ac_cv_prog_ac_ct_CC="cc"
+ echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5
+ break 2
+ fi
+done
+done
+
+fi
+fi
+ac_ct_CC=$ac_cv_prog_ac_ct_CC
+if test -n "$ac_ct_CC"; then
+ echo "$as_me:$LINENO: result: $ac_ct_CC" >&5
+echo "${ECHO_T}$ac_ct_CC" >&6
+else
+ echo "$as_me:$LINENO: result: no" >&5
+echo "${ECHO_T}no" >&6
+fi
+
+ CC=$ac_ct_CC
+else
+ CC="$ac_cv_prog_CC"
+fi
+
+fi
+if test -z "$CC"; then
+ # Extract the first word of "cc", so it can be a program name with args.
+set dummy cc; ac_word=$2
+echo "$as_me:$LINENO: checking for $ac_word" >&5
+echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6
+if test "${ac_cv_prog_CC+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ if test -n "$CC"; then
+ ac_cv_prog_CC="$CC" # Let the user override the test.
+else
+ ac_prog_rejected=no
+as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ for ac_exec_ext in '' $ac_executable_extensions; do
+ if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then
+ if test "$as_dir/$ac_word$ac_exec_ext" = "/usr/ucb/cc"; then
+ ac_prog_rejected=yes
+ continue
+ fi
+ ac_cv_prog_CC="cc"
+ echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5
+ break 2
+ fi
+done
+done
+
+if test $ac_prog_rejected = yes; then
+ # We found a bogon in the path, so make sure we never use it.
+ set dummy $ac_cv_prog_CC
+ shift
+ if test $# != 0; then
+ # We chose a different compiler from the bogus one.
+ # However, it has the same basename, so the bogon will be chosen
+ # first if we set CC to just the basename; use the full file name.
+ shift
+ ac_cv_prog_CC="$as_dir/$ac_word${1+' '}$@"
+ fi
+fi
+fi
+fi
+CC=$ac_cv_prog_CC
+if test -n "$CC"; then
+ echo "$as_me:$LINENO: result: $CC" >&5
+echo "${ECHO_T}$CC" >&6
+else
+ echo "$as_me:$LINENO: result: no" >&5
+echo "${ECHO_T}no" >&6
+fi
+
+fi
+if test -z "$CC"; then
+ if test -n "$ac_tool_prefix"; then
+ for ac_prog in cl
+ do
+ # Extract the first word of "$ac_tool_prefix$ac_prog", so it can be a program name with args.
+set dummy $ac_tool_prefix$ac_prog; ac_word=$2
+echo "$as_me:$LINENO: checking for $ac_word" >&5
+echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6
+if test "${ac_cv_prog_CC+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ if test -n "$CC"; then
+ ac_cv_prog_CC="$CC" # Let the user override the test.
+else
+as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ for ac_exec_ext in '' $ac_executable_extensions; do
+ if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then
+ ac_cv_prog_CC="$ac_tool_prefix$ac_prog"
+ echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5
+ break 2
+ fi
+done
+done
+
+fi
+fi
+CC=$ac_cv_prog_CC
+if test -n "$CC"; then
+ echo "$as_me:$LINENO: result: $CC" >&5
+echo "${ECHO_T}$CC" >&6
+else
+ echo "$as_me:$LINENO: result: no" >&5
+echo "${ECHO_T}no" >&6
+fi
+
+ test -n "$CC" && break
+ done
+fi
+if test -z "$CC"; then
+ ac_ct_CC=$CC
+ for ac_prog in cl
+do
+ # Extract the first word of "$ac_prog", so it can be a program name with args.
+set dummy $ac_prog; ac_word=$2
+echo "$as_me:$LINENO: checking for $ac_word" >&5
+echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6
+if test "${ac_cv_prog_ac_ct_CC+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ if test -n "$ac_ct_CC"; then
+ ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test.
+else
+as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ for ac_exec_ext in '' $ac_executable_extensions; do
+ if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then
+ ac_cv_prog_ac_ct_CC="$ac_prog"
+ echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5
+ break 2
+ fi
+done
+done
+
+fi
+fi
+ac_ct_CC=$ac_cv_prog_ac_ct_CC
+if test -n "$ac_ct_CC"; then
+ echo "$as_me:$LINENO: result: $ac_ct_CC" >&5
+echo "${ECHO_T}$ac_ct_CC" >&6
+else
+ echo "$as_me:$LINENO: result: no" >&5
+echo "${ECHO_T}no" >&6
+fi
+
+ test -n "$ac_ct_CC" && break
+done
+
+ CC=$ac_ct_CC
+fi
+
+fi
+
+
+test -z "$CC" && { { echo "$as_me:$LINENO: error: no acceptable C compiler found in \$PATH
+See \`config.log' for more details." >&5
+echo "$as_me: error: no acceptable C compiler found in \$PATH
+See \`config.log' for more details." >&2;}
+ { (exit 1); exit 1; }; }
+
+# Provide some information about the compiler.
+echo "$as_me:$LINENO:" \
+ "checking for C compiler version" >&5
+ac_compiler=`set X $ac_compile; echo $2`
+{ (eval echo "$as_me:$LINENO: \"$ac_compiler --version </dev/null >&5\"") >&5
+ (eval $ac_compiler --version </dev/null >&5) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }
+{ (eval echo "$as_me:$LINENO: \"$ac_compiler -v </dev/null >&5\"") >&5
+ (eval $ac_compiler -v </dev/null >&5) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }
+{ (eval echo "$as_me:$LINENO: \"$ac_compiler -V </dev/null >&5\"") >&5
+ (eval $ac_compiler -V </dev/null >&5) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }
+
+cat >conftest.$ac_ext <<_ACEOF
+/* confdefs.h. */
+_ACEOF
+cat confdefs.h >>conftest.$ac_ext
+cat >>conftest.$ac_ext <<_ACEOF
+/* end confdefs.h. */
+
+int
+main ()
+{
+
+ ;
+ return 0;
+}
+_ACEOF
+ac_clean_files_save=$ac_clean_files
+ac_clean_files="$ac_clean_files a.out a.exe b.out"
+# Try to create an executable without -o first, disregard a.out.
+# It will help us diagnose broken compilers, and finding out an intuition
+# of exeext.
+echo "$as_me:$LINENO: checking for C compiler default output file name" >&5
+echo $ECHO_N "checking for C compiler default output file name... $ECHO_C" >&6
+ac_link_default=`echo "$ac_link" | sed 's/ -o *conftest[^ ]*//'`
+if { (eval echo "$as_me:$LINENO: \"$ac_link_default\"") >&5
+ (eval $ac_link_default) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; then
+ # Find the output, starting from the most likely. This scheme is
+# not robust to junk in `.', hence go to wildcards (a.*) only as a last
+# resort.
+
+# Be careful to initialize this variable, since it used to be cached.
+# Otherwise an old cache value of `no' led to `EXEEXT = no' in a Makefile.
+ac_cv_exeext=
+# b.out is created by i960 compilers.
+for ac_file in a_out.exe a.exe conftest.exe a.out conftest a.* conftest.* b.out
+do
+ test -f "$ac_file" || continue
+ case $ac_file in
+ *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.o | *.obj )
+ ;;
+ conftest.$ac_ext )
+ # This is the source file.
+ ;;
+ [ab].out )
+ # We found the default executable, but exeext='' is most
+ # certainly right.
+ break;;
+ *.* )
+ ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'`
+ # FIXME: I believe we export ac_cv_exeext for Libtool,
+ # but it would be cool to find out if it's true. Does anybody
+ # maintain Libtool? --akim.
+ export ac_cv_exeext
+ break;;
+ * )
+ break;;
+ esac
+done
+else
+ echo "$as_me: failed program was:" >&5
+sed 's/^/| /' conftest.$ac_ext >&5
+
+{ { echo "$as_me:$LINENO: error: C compiler cannot create executables
+See \`config.log' for more details." >&5
+echo "$as_me: error: C compiler cannot create executables
+See \`config.log' for more details." >&2;}
+ { (exit 77); exit 77; }; }
+fi
+
+ac_exeext=$ac_cv_exeext
+echo "$as_me:$LINENO: result: $ac_file" >&5
+echo "${ECHO_T}$ac_file" >&6
+
+# Check the compiler produces executables we can run. If not, either
+# the compiler is broken, or we cross compile.
+echo "$as_me:$LINENO: checking whether the C compiler works" >&5
+echo $ECHO_N "checking whether the C compiler works... $ECHO_C" >&6
+# FIXME: These cross compiler hacks should be removed for Autoconf 3.0
+# If not cross compiling, check that we can run a simple program.
+if test "$cross_compiling" != yes; then
+ if { ac_try='./$ac_file'
+ { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+ (eval $ac_try) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; }; then
+ cross_compiling=no
+ else
+ if test "$cross_compiling" = maybe; then
+ cross_compiling=yes
+ else
+ { { echo "$as_me:$LINENO: error: cannot run C compiled programs.
+If you meant to cross compile, use \`--host'.
+See \`config.log' for more details." >&5
+echo "$as_me: error: cannot run C compiled programs.
+If you meant to cross compile, use \`--host'.
+See \`config.log' for more details." >&2;}
+ { (exit 1); exit 1; }; }
+ fi
+ fi
+fi
+echo "$as_me:$LINENO: result: yes" >&5
+echo "${ECHO_T}yes" >&6
+
+rm -f a.out a.exe conftest$ac_cv_exeext b.out
+ac_clean_files=$ac_clean_files_save
+# Check the compiler produces executables we can run. If not, either
+# the compiler is broken, or we cross compile.
+echo "$as_me:$LINENO: checking whether we are cross compiling" >&5
+echo $ECHO_N "checking whether we are cross compiling... $ECHO_C" >&6
+echo "$as_me:$LINENO: result: $cross_compiling" >&5
+echo "${ECHO_T}$cross_compiling" >&6
+
+echo "$as_me:$LINENO: checking for suffix of executables" >&5
+echo $ECHO_N "checking for suffix of executables... $ECHO_C" >&6
+if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5
+ (eval $ac_link) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; then
+ # If both `conftest.exe' and `conftest' are `present' (well, observable)
+# catch `conftest.exe'. For instance with Cygwin, `ls conftest' will
+# work properly (i.e., refer to `conftest.exe'), while it won't with
+# `rm'.
+for ac_file in conftest.exe conftest conftest.*; do
+ test -f "$ac_file" || continue
+ case $ac_file in
+ *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.o | *.obj ) ;;
+ *.* ) ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'`
+ export ac_cv_exeext
+ break;;
+ * ) break;;
+ esac
+done
+else
+ { { echo "$as_me:$LINENO: error: cannot compute suffix of executables: cannot compile and link
+See \`config.log' for more details." >&5
+echo "$as_me: error: cannot compute suffix of executables: cannot compile and link
+See \`config.log' for more details." >&2;}
+ { (exit 1); exit 1; }; }
+fi
+
+rm -f conftest$ac_cv_exeext
+echo "$as_me:$LINENO: result: $ac_cv_exeext" >&5
+echo "${ECHO_T}$ac_cv_exeext" >&6
+
+rm -f conftest.$ac_ext
+EXEEXT=$ac_cv_exeext
+ac_exeext=$EXEEXT
+echo "$as_me:$LINENO: checking for suffix of object files" >&5
+echo $ECHO_N "checking for suffix of object files... $ECHO_C" >&6
+if test "${ac_cv_objext+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ cat >conftest.$ac_ext <<_ACEOF
+/* confdefs.h. */
+_ACEOF
+cat confdefs.h >>conftest.$ac_ext
+cat >>conftest.$ac_ext <<_ACEOF
+/* end confdefs.h. */
+
+int
+main ()
+{
+
+ ;
+ return 0;
+}
+_ACEOF
+rm -f conftest.o conftest.obj
+if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5
+ (eval $ac_compile) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; then
+ for ac_file in `(ls conftest.o conftest.obj; ls conftest.*) 2>/dev/null`; do
+ case $ac_file in
+ *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg ) ;;
+ *) ac_cv_objext=`expr "$ac_file" : '.*\.\(.*\)'`
+ break;;
+ esac
+done
+else
+ echo "$as_me: failed program was:" >&5
+sed 's/^/| /' conftest.$ac_ext >&5
+
+{ { echo "$as_me:$LINENO: error: cannot compute suffix of object files: cannot compile
+See \`config.log' for more details." >&5
+echo "$as_me: error: cannot compute suffix of object files: cannot compile
+See \`config.log' for more details." >&2;}
+ { (exit 1); exit 1; }; }
+fi
+
+rm -f conftest.$ac_cv_objext conftest.$ac_ext
+fi
+echo "$as_me:$LINENO: result: $ac_cv_objext" >&5
+echo "${ECHO_T}$ac_cv_objext" >&6
+OBJEXT=$ac_cv_objext
+ac_objext=$OBJEXT
+echo "$as_me:$LINENO: checking whether we are using the GNU C compiler" >&5
+echo $ECHO_N "checking whether we are using the GNU C compiler... $ECHO_C" >&6
+if test "${ac_cv_c_compiler_gnu+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ cat >conftest.$ac_ext <<_ACEOF
+/* confdefs.h. */
+_ACEOF
+cat confdefs.h >>conftest.$ac_ext
+cat >>conftest.$ac_ext <<_ACEOF
+/* end confdefs.h. */
+
+int
+main ()
+{
+#ifndef __GNUC__
+ choke me
+#endif
+
+ ;
+ return 0;
+}
+_ACEOF
+rm -f conftest.$ac_objext
+if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5
+ (eval $ac_compile) 2>conftest.er1
+ ac_status=$?
+ grep -v '^ *+' conftest.er1 >conftest.err
+ rm -f conftest.er1
+ cat conftest.err >&5
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); } &&
+ { ac_try='test -z "$ac_c_werror_flag"
+ || test ! -s conftest.err'
+ { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+ (eval $ac_try) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; } &&
+ { ac_try='test -s conftest.$ac_objext'
+ { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+ (eval $ac_try) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; }; then
+ ac_compiler_gnu=yes
+else
+ echo "$as_me: failed program was:" >&5
+sed 's/^/| /' conftest.$ac_ext >&5
+
+ac_compiler_gnu=no
+fi
+rm -f conftest.err conftest.$ac_objext conftest.$ac_ext
+ac_cv_c_compiler_gnu=$ac_compiler_gnu
+
+fi
+echo "$as_me:$LINENO: result: $ac_cv_c_compiler_gnu" >&5
+echo "${ECHO_T}$ac_cv_c_compiler_gnu" >&6
+GCC=`test $ac_compiler_gnu = yes && echo yes`
+ac_test_CFLAGS=${CFLAGS+set}
+ac_save_CFLAGS=$CFLAGS
+CFLAGS="-g"
+echo "$as_me:$LINENO: checking whether $CC accepts -g" >&5
+echo $ECHO_N "checking whether $CC accepts -g... $ECHO_C" >&6
+if test "${ac_cv_prog_cc_g+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ cat >conftest.$ac_ext <<_ACEOF
+/* confdefs.h. */
+_ACEOF
+cat confdefs.h >>conftest.$ac_ext
+cat >>conftest.$ac_ext <<_ACEOF
+/* end confdefs.h. */
+
+int
+main ()
+{
+
+ ;
+ return 0;
+}
+_ACEOF
+rm -f conftest.$ac_objext
+if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5
+ (eval $ac_compile) 2>conftest.er1
+ ac_status=$?
+ grep -v '^ *+' conftest.er1 >conftest.err
+ rm -f conftest.er1
+ cat conftest.err >&5
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); } &&
+ { ac_try='test -z "$ac_c_werror_flag"
+ || test ! -s conftest.err'
+ { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+ (eval $ac_try) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; } &&
+ { ac_try='test -s conftest.$ac_objext'
+ { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+ (eval $ac_try) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; }; then
+ ac_cv_prog_cc_g=yes
+else
+ echo "$as_me: failed program was:" >&5
+sed 's/^/| /' conftest.$ac_ext >&5
+
+ac_cv_prog_cc_g=no
+fi
+rm -f conftest.err conftest.$ac_objext conftest.$ac_ext
+fi
+echo "$as_me:$LINENO: result: $ac_cv_prog_cc_g" >&5
+echo "${ECHO_T}$ac_cv_prog_cc_g" >&6
+if test "$ac_test_CFLAGS" = set; then
+ CFLAGS=$ac_save_CFLAGS
+elif test $ac_cv_prog_cc_g = yes; then
+ if test "$GCC" = yes; then
+ CFLAGS="-g -O2"
+ else
+ CFLAGS="-g"
+ fi
+else
+ if test "$GCC" = yes; then
+ CFLAGS="-O2"
+ else
+ CFLAGS=
+ fi
+fi
+echo "$as_me:$LINENO: checking for $CC option to accept ANSI C" >&5
+echo $ECHO_N "checking for $CC option to accept ANSI C... $ECHO_C" >&6
+if test "${ac_cv_prog_cc_stdc+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ ac_cv_prog_cc_stdc=no
+ac_save_CC=$CC
+cat >conftest.$ac_ext <<_ACEOF
+/* confdefs.h. */
+_ACEOF
+cat confdefs.h >>conftest.$ac_ext
+cat >>conftest.$ac_ext <<_ACEOF
+/* end confdefs.h. */
+#include <stdarg.h>
+#include <stdio.h>
+#include <sys/types.h>
+#include <sys/stat.h>
+/* Most of the following tests are stolen from RCS 5.7's src/conf.sh. */
+struct buf { int x; };
+FILE * (*rcsopen) (struct buf *, struct stat *, int);
+static char *e (p, i)
+ char **p;
+ int i;
+{
+ return p[i];
+}
+static char *f (char * (*g) (char **, int), char **p, ...)
+{
+ char *s;
+ va_list v;
+ va_start (v,p);
+ s = g (p, va_arg (v,int));
+ va_end (v);
+ return s;
+}
+
+/* OSF 4.0 Compaq cc is some sort of almost-ANSI by default. It has
+ function prototypes and stuff, but not '\xHH' hex character constants.
+ These don't provoke an error unfortunately, instead are silently treated
+ as 'x'. The following induces an error, until -std1 is added to get
+ proper ANSI mode. Curiously '\x00'!='x' always comes out true, for an
+ array size at least. It's necessary to write '\x00'==0 to get something
+ that's true only with -std1. */
+int osf4_cc_array ['\x00' == 0 ? 1 : -1];
+
+int test (int i, double x);
+struct s1 {int (*f) (int a);};
+struct s2 {int (*f) (double a);};
+int pairnames (int, char **, FILE *(*)(struct buf *, struct stat *, int), int, int);
+int argc;
+char **argv;
+int
+main ()
+{
+return f (e, argv, 0) != argv[0] || f (e, argv, 1) != argv[1];
+ ;
+ return 0;
+}
+_ACEOF
+# Don't try gcc -ansi; that turns off useful extensions and
+# breaks some systems' header files.
+# AIX -qlanglvl=ansi
+# Ultrix and OSF/1 -std1
+# HP-UX 10.20 and later -Ae
+# HP-UX older versions -Aa -D_HPUX_SOURCE
+# SVR4 -Xc -D__EXTENSIONS__
+for ac_arg in "" -qlanglvl=ansi -std1 -Ae "-Aa -D_HPUX_SOURCE" "-Xc -D__EXTENSIONS__"
+do
+ CC="$ac_save_CC $ac_arg"
+ rm -f conftest.$ac_objext
+if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5
+ (eval $ac_compile) 2>conftest.er1
+ ac_status=$?
+ grep -v '^ *+' conftest.er1 >conftest.err
+ rm -f conftest.er1
+ cat conftest.err >&5
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); } &&
+ { ac_try='test -z "$ac_c_werror_flag"
+ || test ! -s conftest.err'
+ { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+ (eval $ac_try) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; } &&
+ { ac_try='test -s conftest.$ac_objext'
+ { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+ (eval $ac_try) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; }; then
+ ac_cv_prog_cc_stdc=$ac_arg
+break
+else
+ echo "$as_me: failed program was:" >&5
+sed 's/^/| /' conftest.$ac_ext >&5
+
+fi
+rm -f conftest.err conftest.$ac_objext
+done
+rm -f conftest.$ac_ext conftest.$ac_objext
+CC=$ac_save_CC
+
+fi
+
+case "x$ac_cv_prog_cc_stdc" in
+ x|xno)
+ echo "$as_me:$LINENO: result: none needed" >&5
+echo "${ECHO_T}none needed" >&6 ;;
+ *)
+ echo "$as_me:$LINENO: result: $ac_cv_prog_cc_stdc" >&5
+echo "${ECHO_T}$ac_cv_prog_cc_stdc" >&6
+ CC="$CC $ac_cv_prog_cc_stdc" ;;
+esac
+
+# Some people use a C++ compiler to compile C. Since we use `exit',
+# in C++ we need to declare it. In case someone uses the same compiler
+# for both compiling C and C++ we need to have the C++ compiler decide
+# the declaration of exit, since it's the most demanding environment.
+cat >conftest.$ac_ext <<_ACEOF
+#ifndef __cplusplus
+ choke me
+#endif
+_ACEOF
+rm -f conftest.$ac_objext
+if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5
+ (eval $ac_compile) 2>conftest.er1
+ ac_status=$?
+ grep -v '^ *+' conftest.er1 >conftest.err
+ rm -f conftest.er1
+ cat conftest.err >&5
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); } &&
+ { ac_try='test -z "$ac_c_werror_flag"
+ || test ! -s conftest.err'
+ { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+ (eval $ac_try) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; } &&
+ { ac_try='test -s conftest.$ac_objext'
+ { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+ (eval $ac_try) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; }; then
+ for ac_declaration in \
+ '' \
+ 'extern "C" void std::exit (int) throw (); using std::exit;' \
+ 'extern "C" void std::exit (int); using std::exit;' \
+ 'extern "C" void exit (int) throw ();' \
+ 'extern "C" void exit (int);' \
+ 'void exit (int);'
+do
+ cat >conftest.$ac_ext <<_ACEOF
+/* confdefs.h. */
+_ACEOF
+cat confdefs.h >>conftest.$ac_ext
+cat >>conftest.$ac_ext <<_ACEOF
+/* end confdefs.h. */
+$ac_declaration
+#include <stdlib.h>
+int
+main ()
+{
+exit (42);
+ ;
+ return 0;
+}
+_ACEOF
+rm -f conftest.$ac_objext
+if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5
+ (eval $ac_compile) 2>conftest.er1
+ ac_status=$?
+ grep -v '^ *+' conftest.er1 >conftest.err
+ rm -f conftest.er1
+ cat conftest.err >&5
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); } &&
+ { ac_try='test -z "$ac_c_werror_flag"
+ || test ! -s conftest.err'
+ { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+ (eval $ac_try) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; } &&
+ { ac_try='test -s conftest.$ac_objext'
+ { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+ (eval $ac_try) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; }; then
+ :
+else
+ echo "$as_me: failed program was:" >&5
+sed 's/^/| /' conftest.$ac_ext >&5
+
+continue
+fi
+rm -f conftest.err conftest.$ac_objext conftest.$ac_ext
+ cat >conftest.$ac_ext <<_ACEOF
+/* confdefs.h. */
+_ACEOF
+cat confdefs.h >>conftest.$ac_ext
+cat >>conftest.$ac_ext <<_ACEOF
+/* end confdefs.h. */
+$ac_declaration
+int
+main ()
+{
+exit (42);
+ ;
+ return 0;
+}
+_ACEOF
+rm -f conftest.$ac_objext
+if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5
+ (eval $ac_compile) 2>conftest.er1
+ ac_status=$?
+ grep -v '^ *+' conftest.er1 >conftest.err
+ rm -f conftest.er1
+ cat conftest.err >&5
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); } &&
+ { ac_try='test -z "$ac_c_werror_flag"
+ || test ! -s conftest.err'
+ { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+ (eval $ac_try) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; } &&
+ { ac_try='test -s conftest.$ac_objext'
+ { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+ (eval $ac_try) 2>&5
+ ac_status=$?
+ echo "$as_me:$LINENO: \$? = $ac_status" >&5
+ (exit $ac_status); }; }; then
+ break
+else
+ echo "$as_me: failed program was:" >&5
+sed 's/^/| /' conftest.$ac_ext >&5
+
+fi
+rm -f conftest.err conftest.$ac_objext conftest.$ac_ext
+done
+rm -f conftest*
+if test -n "$ac_declaration"; then
+ echo '#ifdef __cplusplus' >>confdefs.h
+ echo $ac_declaration >>confdefs.h
+ echo '#endif' >>confdefs.h
+fi
+
+else
+ echo "$as_me: failed program was:" >&5
+sed 's/^/| /' conftest.$ac_ext >&5
+
+fi
+rm -f conftest.err conftest.$ac_objext conftest.$ac_ext
+ac_ext=c
+ac_cpp='$CPP $CPPFLAGS'
+ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5'
+ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5'
+ac_compiler_gnu=$ac_cv_c_compiler_gnu
+
+
+for ac_prog in ar
+do
+ # Extract the first word of "$ac_prog", so it can be a program name with args.
+set dummy $ac_prog; ac_word=$2
+echo "$as_me:$LINENO: checking for $ac_word" >&5
+echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6
+if test "${ac_cv_prog_AR+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ if test -n "$AR"; then
+ ac_cv_prog_AR="$AR" # Let the user override the test.
+else
+as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ for ac_exec_ext in '' $ac_executable_extensions; do
+ if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then
+ ac_cv_prog_AR="$ac_prog"
+ echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5
+ break 2
+ fi
+done
+done
+
+fi
+fi
+AR=$ac_cv_prog_AR
+if test -n "$AR"; then
+ echo "$as_me:$LINENO: result: $AR" >&5
+echo "${ECHO_T}$AR" >&6
+else
+ echo "$as_me:$LINENO: result: no" >&5
+echo "${ECHO_T}no" >&6
+fi
+
+ test -n "$AR" && break
+done
+
+for ac_prog in chmod
+do
+ # Extract the first word of "$ac_prog", so it can be a program name with args.
+set dummy $ac_prog; ac_word=$2
+echo "$as_me:$LINENO: checking for $ac_word" >&5
+echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6
+if test "${ac_cv_prog_CHMOD+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ if test -n "$CHMOD"; then
+ ac_cv_prog_CHMOD="$CHMOD" # Let the user override the test.
+else
+as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ for ac_exec_ext in '' $ac_executable_extensions; do
+ if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then
+ ac_cv_prog_CHMOD="$ac_prog"
+ echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5
+ break 2
+ fi
+done
+done
+
+fi
+fi
+CHMOD=$ac_cv_prog_CHMOD
+if test -n "$CHMOD"; then
+ echo "$as_me:$LINENO: result: $CHMOD" >&5
+echo "${ECHO_T}$CHMOD" >&6
+else
+ echo "$as_me:$LINENO: result: no" >&5
+echo "${ECHO_T}no" >&6
+fi
+
+ test -n "$CHMOD" && break
+done
+
+for ac_prog in cp
+do
+ # Extract the first word of "$ac_prog", so it can be a program name with args.
+set dummy $ac_prog; ac_word=$2
+echo "$as_me:$LINENO: checking for $ac_word" >&5
+echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6
+if test "${ac_cv_prog_CP+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ if test -n "$CP"; then
+ ac_cv_prog_CP="$CP" # Let the user override the test.
+else
+as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ for ac_exec_ext in '' $ac_executable_extensions; do
+ if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then
+ ac_cv_prog_CP="$ac_prog"
+ echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5
+ break 2
+ fi
+done
+done
+
+fi
+fi
+CP=$ac_cv_prog_CP
+if test -n "$CP"; then
+ echo "$as_me:$LINENO: result: $CP" >&5
+echo "${ECHO_T}$CP" >&6
+else
+ echo "$as_me:$LINENO: result: no" >&5
+echo "${ECHO_T}no" >&6
+fi
+
+ test -n "$CP" && break
+done
+
+for ac_prog in ranlib echo
+do
+ # Extract the first word of "$ac_prog", so it can be a program name with args.
+set dummy $ac_prog; ac_word=$2
+echo "$as_me:$LINENO: checking for $ac_word" >&5
+echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6
+if test "${ac_cv_prog_RANLIB+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ if test -n "$RANLIB"; then
+ ac_cv_prog_RANLIB="$RANLIB" # Let the user override the test.
+else
+as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ for ac_exec_ext in '' $ac_executable_extensions; do
+ if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then
+ ac_cv_prog_RANLIB="$ac_prog"
+ echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5
+ break 2
+ fi
+done
+done
+
+fi
+fi
+RANLIB=$ac_cv_prog_RANLIB
+if test -n "$RANLIB"; then
+ echo "$as_me:$LINENO: result: $RANLIB" >&5
+echo "${ECHO_T}$RANLIB" >&6
+else
+ echo "$as_me:$LINENO: result: no" >&5
+echo "${ECHO_T}no" >&6
+fi
+
+ test -n "$RANLIB" && break
+done
+
+for ac_prog in /bin/rm rm
+do
+ # Extract the first word of "$ac_prog", so it can be a program name with args.
+set dummy $ac_prog; ac_word=$2
+echo "$as_me:$LINENO: checking for $ac_word" >&5
+echo $ECHO_N "checking for $ac_word... $ECHO_C" >&6
+if test "${ac_cv_path_RM+set}" = set; then
+ echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+ case $RM in
+ [\\/]* | ?:[\\/]*)
+ ac_cv_path_RM="$RM" # Let the user override the test with a path.
+ ;;
+ *)
+ as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ for ac_exec_ext in '' $ac_executable_extensions; do
+ if $as_executable_p "$as_dir/$ac_word$ac_exec_ext"; then
+ ac_cv_path_RM="$as_dir/$ac_word$ac_exec_ext"
+ echo "$as_me:$LINENO: found $as_dir/$ac_word$ac_exec_ext" >&5
+ break 2
+ fi
+done
+done
+
+ ;;
+esac
+fi
+RM=$ac_cv_path_RM
+
+if test -n "$RM"; then
+ echo "$as_me:$LINENO: result: $RM" >&5
+echo "${ECHO_T}$RM" >&6
+else
+ echo "$as_me:$LINENO: result: no" >&5
+echo "${ECHO_T}no" >&6
+fi
+
+ test -n "$RM" && break
+done
+
+
+ ac_config_files="$ac_config_files Makefile"
+cat >confcache <<\_ACEOF
+# This file is a shell script that caches the results of configure
+# tests run on this system so they can be shared between configure
+# scripts and configure runs, see configure's option --config-cache.
+# It is not useful on other systems. If it contains results you don't
+# want to keep, you may remove or edit it.
+#
+# config.status only pays attention to the cache file if you give it
+# the --recheck option to rerun configure.
+#
+# `ac_cv_env_foo' variables (set or unset) will be overridden when
+# loading this file, other *unset* `ac_cv_foo' will be assigned the
+# following values.
+
+_ACEOF
+
+# The following way of writing the cache mishandles newlines in values,
+# but we know of no workaround that is simple, portable, and efficient.
+# So, don't put newlines in cache variables' values.
+# Ultrix sh set writes to stderr and can't be redirected directly,
+# and sets the high bit in the cache file unless we assign to the vars.
+{
+ (set) 2>&1 |
+ case `(ac_space=' '; set | grep ac_space) 2>&1` in
+ *ac_space=\ *)
+ # `set' does not quote correctly, so add quotes (double-quote
+ # substitution turns \\\\ into \\, and sed turns \\ into \).
+ sed -n \
+ "s/'/'\\\\''/g;
+ s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\\2'/p"
+ ;;
+ *)
+ # `set' quotes correctly as required by POSIX, so do not add quotes.
+ sed -n \
+ "s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1=\\2/p"
+ ;;
+ esac;
+} |
+ sed '
+ t clear
+ : clear
+ s/^\([^=]*\)=\(.*[{}].*\)$/test "${\1+set}" = set || &/
+ t end
+ /^ac_cv_env/!s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/
+ : end' >>confcache
+if diff $cache_file confcache >/dev/null 2>&1; then :; else
+ if test -w $cache_file; then
+ test "x$cache_file" != "x/dev/null" && echo "updating cache $cache_file"
+ cat confcache >$cache_file
+ else
+ echo "not updating unwritable cache $cache_file"
+ fi
+fi
+rm -f confcache
+
+test "x$prefix" = xNONE && prefix=$ac_default_prefix
+# Let make expand exec_prefix.
+test "x$exec_prefix" = xNONE && exec_prefix='${prefix}'
+
+# VPATH may cause trouble with some makes, so we remove $(srcdir),
+# ${srcdir} and @srcdir@ from VPATH if srcdir is ".", strip leading and
+# trailing colons and then remove the whole line if VPATH becomes empty
+# (actually we leave an empty line to preserve line numbers).
+if test "x$srcdir" = x.; then
+ ac_vpsub='/^[ ]*VPATH[ ]*=/{
+s/:*\$(srcdir):*/:/;
+s/:*\${srcdir}:*/:/;
+s/:*@srcdir@:*/:/;
+s/^\([^=]*=[ ]*\):*/\1/;
+s/:*$//;
+s/^[^=]*=[ ]*$//;
+}'
+fi
+
+# Transform confdefs.h into DEFS.
+# Protect against shell expansion while executing Makefile rules.
+# Protect against Makefile macro expansion.
+#
+# If the first sed substitution is executed (which looks for macros that
+# take arguments), then we branch to the quote section. Otherwise,
+# look for a macro that doesn't take arguments.
+cat >confdef2opt.sed <<\_ACEOF
+t clear
+: clear
+s,^[ ]*#[ ]*define[ ][ ]*\([^ (][^ (]*([^)]*)\)[ ]*\(.*\),-D\1=\2,g
+t quote
+s,^[ ]*#[ ]*define[ ][ ]*\([^ ][^ ]*\)[ ]*\(.*\),-D\1=\2,g
+t quote
+d
+: quote
+s,[ `~#$^&*(){}\\|;'"<>?],\\&,g
+s,\[,\\&,g
+s,\],\\&,g
+s,\$,$$,g
+p
+_ACEOF
+# We use echo to avoid assuming a particular line-breaking character.
+# The extra dot is to prevent the shell from consuming trailing
+# line-breaks from the sub-command output. A line-break within
+# single-quotes doesn't work because, if this script is created in a
+# platform that uses two characters for line-breaks (e.g., DOS), tr
+# would break.
+ac_LF_and_DOT=`echo; echo .`
+DEFS=`sed -n -f confdef2opt.sed confdefs.h | tr "$ac_LF_and_DOT" ' .'`
+rm -f confdef2opt.sed
+
+
+ac_libobjs=
+ac_ltlibobjs=
+for ac_i in : $LIBOBJS; do test "x$ac_i" = x: && continue
+ # 1. Remove the extension, and $U if already installed.
+ ac_i=`echo "$ac_i" |
+ sed 's/\$U\././;s/\.o$//;s/\.obj$//'`
+ # 2. Add them.
+ ac_libobjs="$ac_libobjs $ac_i\$U.$ac_objext"
+ ac_ltlibobjs="$ac_ltlibobjs $ac_i"'$U.lo'
+done
+LIBOBJS=$ac_libobjs
+
+LTLIBOBJS=$ac_ltlibobjs
+
+
+
+: ${CONFIG_STATUS=./config.status}
+ac_clean_files_save=$ac_clean_files
+ac_clean_files="$ac_clean_files $CONFIG_STATUS"
+{ echo "$as_me:$LINENO: creating $CONFIG_STATUS" >&5
+echo "$as_me: creating $CONFIG_STATUS" >&6;}
+cat >$CONFIG_STATUS <<_ACEOF
+#! $SHELL
+# Generated by $as_me.
+# Run this file to recreate the current configuration.
+# Compiler output produced by configure, useful for debugging
+# configure, is in config.log if it exists.
+
+debug=false
+ac_cs_recheck=false
+ac_cs_silent=false
+SHELL=\${CONFIG_SHELL-$SHELL}
+_ACEOF
+
+cat >>$CONFIG_STATUS <<\_ACEOF
+## --------------------- ##
+## M4sh Initialization. ##
+## --------------------- ##
+
+# Be Bourne compatible
+if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then
+ emulate sh
+ NULLCMD=:
+ # Zsh 3.x and 4.x performs word splitting on ${1+"$@"}, which
+ # is contrary to our usage. Disable this feature.
+ alias -g '${1+"$@"}'='"$@"'
+elif test -n "${BASH_VERSION+set}" && (set -o posix) >/dev/null 2>&1; then
+ set -o posix
+fi
+DUALCASE=1; export DUALCASE # for MKS sh
+
+# Support unset when possible.
+if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then
+ as_unset=unset
+else
+ as_unset=false
+fi
+
+
+# Work around bugs in pre-3.0 UWIN ksh.
+$as_unset ENV MAIL MAILPATH
+PS1='$ '
+PS2='> '
+PS4='+ '
+
+# NLS nuisances.
+for as_var in \
+ LANG LANGUAGE LC_ADDRESS LC_ALL LC_COLLATE LC_CTYPE LC_IDENTIFICATION \
+ LC_MEASUREMENT LC_MESSAGES LC_MONETARY LC_NAME LC_NUMERIC LC_PAPER \
+ LC_TELEPHONE LC_TIME
+do
+ if (set +x; test -z "`(eval $as_var=C; export $as_var) 2>&1`"); then
+ eval $as_var=C; export $as_var
+ else
+ $as_unset $as_var
+ fi
+done
+
+# Required to use basename.
+if expr a : '\(a\)' >/dev/null 2>&1; then
+ as_expr=expr
+else
+ as_expr=false
+fi
+
+if (basename /) >/dev/null 2>&1 && test "X`basename / 2>&1`" = "X/"; then
+ as_basename=basename
+else
+ as_basename=false
+fi
+
+
+# Name of the executable.
+as_me=`$as_basename "$0" ||
+$as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \
+ X"$0" : 'X\(//\)$' \| \
+ X"$0" : 'X\(/\)$' \| \
+ . : '\(.\)' 2>/dev/null ||
+echo X/"$0" |
+ sed '/^.*\/\([^/][^/]*\)\/*$/{ s//\1/; q; }
+ /^X\/\(\/\/\)$/{ s//\1/; q; }
+ /^X\/\(\/\).*/{ s//\1/; q; }
+ s/.*/./; q'`
+
+
+# PATH needs CR, and LINENO needs CR and PATH.
+# Avoid depending upon Character Ranges.
+as_cr_letters='abcdefghijklmnopqrstuvwxyz'
+as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ'
+as_cr_Letters=$as_cr_letters$as_cr_LETTERS
+as_cr_digits='0123456789'
+as_cr_alnum=$as_cr_Letters$as_cr_digits
+
+# The user is always right.
+if test "${PATH_SEPARATOR+set}" != set; then
+ echo "#! /bin/sh" >conf$$.sh
+ echo "exit 0" >>conf$$.sh
+ chmod +x conf$$.sh
+ if (PATH="/nonexistent;."; conf$$.sh) >/dev/null 2>&1; then
+ PATH_SEPARATOR=';'
+ else
+ PATH_SEPARATOR=:
+ fi
+ rm -f conf$$.sh
+fi
+
+
+ as_lineno_1=$LINENO
+ as_lineno_2=$LINENO
+ as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null`
+ test "x$as_lineno_1" != "x$as_lineno_2" &&
+ test "x$as_lineno_3" = "x$as_lineno_2" || {
+ # Find who we are. Look in the path if we contain no path at all
+ # relative or not.
+ case $0 in
+ *[\\/]* ) as_myself=$0 ;;
+ *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in $PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break
+done
+
+ ;;
+ esac
+ # We did not find ourselves, most probably we were run as `sh COMMAND'
+ # in which case we are not to be found in the path.
+ if test "x$as_myself" = x; then
+ as_myself=$0
+ fi
+ if test ! -f "$as_myself"; then
+ { { echo "$as_me:$LINENO: error: cannot find myself; rerun with an absolute path" >&5
+echo "$as_me: error: cannot find myself; rerun with an absolute path" >&2;}
+ { (exit 1); exit 1; }; }
+ fi
+ case $CONFIG_SHELL in
+ '')
+ as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
+for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH
+do
+ IFS=$as_save_IFS
+ test -z "$as_dir" && as_dir=.
+ for as_base in sh bash ksh sh5; do
+ case $as_dir in
+ /*)
+ if ("$as_dir/$as_base" -c '
+ as_lineno_1=$LINENO
+ as_lineno_2=$LINENO
+ as_lineno_3=`(expr $as_lineno_1 + 1) 2>/dev/null`
+ test "x$as_lineno_1" != "x$as_lineno_2" &&
+ test "x$as_lineno_3" = "x$as_lineno_2" ') 2>/dev/null; then
+ $as_unset BASH_ENV || test "${BASH_ENV+set}" != set || { BASH_ENV=; export BASH_ENV; }
+ $as_unset ENV || test "${ENV+set}" != set || { ENV=; export ENV; }
+ CONFIG_SHELL=$as_dir/$as_base
+ export CONFIG_SHELL
+ exec "$CONFIG_SHELL" "$0" ${1+"$@"}
+ fi;;
+ esac
+ done
+done
+;;
+ esac
+
+ # Create $as_me.lineno as a copy of $as_myself, but with $LINENO
+ # uniformly replaced by the line number. The first 'sed' inserts a
+ # line-number line before each line; the second 'sed' does the real
+ # work. The second script uses 'N' to pair each line-number line
+ # with the numbered line, and appends trailing '-' during
+ # substitution so that $LINENO is not a special case at line end.
+ # (Raja R Harinath suggested sed '=', and Paul Eggert wrote the
+ # second 'sed' script. Blame Lee E. McMahon for sed's syntax. :-)
+ sed '=' <$as_myself |
+ sed '
+ N
+ s,$,-,
+ : loop
+ s,^\(['$as_cr_digits']*\)\(.*\)[$]LINENO\([^'$as_cr_alnum'_]\),\1\2\1\3,
+ t loop
+ s,-$,,
+ s,^['$as_cr_digits']*\n,,
+ ' >$as_me.lineno &&
+ chmod +x $as_me.lineno ||
+ { { echo "$as_me:$LINENO: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&5
+echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2;}
+ { (exit 1); exit 1; }; }
+
+ # Don't try to exec as it changes $[0], causing all sort of problems
+ # (the dirname of $[0] is not the place where we might find the
+ # original and so on. Autoconf is especially sensible to this).
+ . ./$as_me.lineno
+ # Exit status is that of the last command.
+ exit
+}
+
+
+case `echo "testing\c"; echo 1,2,3`,`echo -n testing; echo 1,2,3` in
+ *c*,-n*) ECHO_N= ECHO_C='
+' ECHO_T=' ' ;;
+ *c*,* ) ECHO_N=-n ECHO_C= ECHO_T= ;;
+ *) ECHO_N= ECHO_C='\c' ECHO_T= ;;
+esac
+
+if expr a : '\(a\)' >/dev/null 2>&1; then
+ as_expr=expr
+else
+ as_expr=false
+fi
+
+rm -f conf$$ conf$$.exe conf$$.file
+echo >conf$$.file
+if ln -s conf$$.file conf$$ 2>/dev/null; then
+ # We could just check for DJGPP; but this test a) works b) is more generic
+ # and c) will remain valid once DJGPP supports symlinks (DJGPP 2.04).
+ if test -f conf$$.exe; then
+ # Don't use ln at all; we don't have any links
+ as_ln_s='cp -p'
+ else
+ as_ln_s='ln -s'
+ fi
+elif ln conf$$.file conf$$ 2>/dev/null; then
+ as_ln_s=ln
+else
+ as_ln_s='cp -p'
+fi
+rm -f conf$$ conf$$.exe conf$$.file
+
+if mkdir -p . 2>/dev/null; then
+ as_mkdir_p=:
+else
+ test -d ./-p && rmdir ./-p
+ as_mkdir_p=false
+fi
+
+as_executable_p="test -f"
+
+# Sed expression to map a string onto a valid CPP name.
+as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'"
+
+# Sed expression to map a string onto a valid variable name.
+as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'"
+
+
+# IFS
+# We need space, tab and new line, in precisely that order.
+as_nl='
+'
+IFS=" $as_nl"
+
+# CDPATH.
+$as_unset CDPATH
+
+exec 6>&1
+
+# Open the log real soon, to keep \$[0] and so on meaningful, and to
+# report actual input values of CONFIG_FILES etc. instead of their
+# values after options handling. Logging --version etc. is OK.
+exec 5>>config.log
+{
+ echo
+ sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX
+## Running $as_me. ##
+_ASBOX
+} >&5
+cat >&5 <<_CSEOF
+
+This file was extended by fdlibm $as_me 5.3, which was
+generated by GNU Autoconf 2.59. Invocation command line was
+
+ CONFIG_FILES = $CONFIG_FILES
+ CONFIG_HEADERS = $CONFIG_HEADERS
+ CONFIG_LINKS = $CONFIG_LINKS
+ CONFIG_COMMANDS = $CONFIG_COMMANDS
+ $ $0 $@
+
+_CSEOF
+echo "on `(hostname || uname -n) 2>/dev/null | sed 1q`" >&5
+echo >&5
+_ACEOF
+
+# Files that config.status was made for.
+if test -n "$ac_config_files"; then
+ echo "config_files=\"$ac_config_files\"" >>$CONFIG_STATUS
+fi
+
+if test -n "$ac_config_headers"; then
+ echo "config_headers=\"$ac_config_headers\"" >>$CONFIG_STATUS
+fi
+
+if test -n "$ac_config_links"; then
+ echo "config_links=\"$ac_config_links\"" >>$CONFIG_STATUS
+fi
+
+if test -n "$ac_config_commands"; then
+ echo "config_commands=\"$ac_config_commands\"" >>$CONFIG_STATUS
+fi
+
+cat >>$CONFIG_STATUS <<\_ACEOF
+
+ac_cs_usage="\
+\`$as_me' instantiates files from templates according to the
+current configuration.
+
+Usage: $0 [OPTIONS] [FILE]...
+
+ -h, --help print this help, then exit
+ -V, --version print version number, then exit
+ -q, --quiet do not print progress messages
+ -d, --debug don't remove temporary files
+ --recheck update $as_me by reconfiguring in the same conditions
+ --file=FILE[:TEMPLATE]
+ instantiate the configuration file FILE
+
+Configuration files:
+$config_files
+
+Report bugs to <bug-autoconf@gnu.org>."
+_ACEOF
+
+cat >>$CONFIG_STATUS <<_ACEOF
+ac_cs_version="\\
+fdlibm config.status 5.3
+configured by $0, generated by GNU Autoconf 2.59,
+ with options \\"`echo "$ac_configure_args" | sed 's/[\\""\`\$]/\\\\&/g'`\\"
+
+Copyright (C) 2003 Free Software Foundation, Inc.
+This config.status script is free software; the Free Software Foundation
+gives unlimited permission to copy, distribute and modify it."
+srcdir=$srcdir
+_ACEOF
+
+cat >>$CONFIG_STATUS <<\_ACEOF
+# If no file are specified by the user, then we need to provide default
+# value. By we need to know if files were specified by the user.
+ac_need_defaults=:
+while test $# != 0
+do
+ case $1 in
+ --*=*)
+ ac_option=`expr "x$1" : 'x\([^=]*\)='`
+ ac_optarg=`expr "x$1" : 'x[^=]*=\(.*\)'`
+ ac_shift=:
+ ;;
+ -*)
+ ac_option=$1
+ ac_optarg=$2
+ ac_shift=shift
+ ;;
+ *) # This is not an option, so the user has probably given explicit
+ # arguments.
+ ac_option=$1
+ ac_need_defaults=false;;
+ esac
+
+ case $ac_option in
+ # Handling of the options.
+_ACEOF
+cat >>$CONFIG_STATUS <<\_ACEOF
+ -recheck | --recheck | --rechec | --reche | --rech | --rec | --re | --r)
+ ac_cs_recheck=: ;;
+ --version | --vers* | -V )
+ echo "$ac_cs_version"; exit 0 ;;
+ --he | --h)
+ # Conflict between --help and --header
+ { { echo "$as_me:$LINENO: error: ambiguous option: $1
+Try \`$0 --help' for more information." >&5
+echo "$as_me: error: ambiguous option: $1
+Try \`$0 --help' for more information." >&2;}
+ { (exit 1); exit 1; }; };;
+ --help | --hel | -h )
+ echo "$ac_cs_usage"; exit 0 ;;
+ --debug | --d* | -d )
+ debug=: ;;
+ --file | --fil | --fi | --f )
+ $ac_shift
+ CONFIG_FILES="$CONFIG_FILES $ac_optarg"
+ ac_need_defaults=false;;
+ --header | --heade | --head | --hea )
+ $ac_shift
+ CONFIG_HEADERS="$CONFIG_HEADERS $ac_optarg"
+ ac_need_defaults=false;;
+ -q | -quiet | --quiet | --quie | --qui | --qu | --q \
+ | -silent | --silent | --silen | --sile | --sil | --si | --s)
+ ac_cs_silent=: ;;
+
+ # This is an error.
+ -*) { { echo "$as_me:$LINENO: error: unrecognized option: $1
+Try \`$0 --help' for more information." >&5
+echo "$as_me: error: unrecognized option: $1
+Try \`$0 --help' for more information." >&2;}
+ { (exit 1); exit 1; }; } ;;
+
+ *) ac_config_targets="$ac_config_targets $1" ;;
+
+ esac
+ shift
+done
+
+ac_configure_extra_args=
+
+if $ac_cs_silent; then
+ exec 6>/dev/null
+ ac_configure_extra_args="$ac_configure_extra_args --silent"
+fi
+
+_ACEOF
+cat >>$CONFIG_STATUS <<_ACEOF
+if \$ac_cs_recheck; then
+ echo "running $SHELL $0 " $ac_configure_args \$ac_configure_extra_args " --no-create --no-recursion" >&6
+ exec $SHELL $0 $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion
+fi
+
+_ACEOF
+
+
+
+
+
+cat >>$CONFIG_STATUS <<\_ACEOF
+for ac_config_target in $ac_config_targets
+do
+ case "$ac_config_target" in
+ # Handling of arguments.
+ "Makefile" ) CONFIG_FILES="$CONFIG_FILES Makefile" ;;
+ *) { { echo "$as_me:$LINENO: error: invalid argument: $ac_config_target" >&5
+echo "$as_me: error: invalid argument: $ac_config_target" >&2;}
+ { (exit 1); exit 1; }; };;
+ esac
+done
+
+# If the user did not use the arguments to specify the items to instantiate,
+# then the envvar interface is used. Set only those that are not.
+# We use the long form for the default assignment because of an extremely
+# bizarre bug on SunOS 4.1.3.
+if $ac_need_defaults; then
+ test "${CONFIG_FILES+set}" = set || CONFIG_FILES=$config_files
+fi
+
+# Have a temporary directory for convenience. Make it in the build tree
+# simply because there is no reason to put it here, and in addition,
+# creating and moving files from /tmp can sometimes cause problems.
+# Create a temporary directory, and hook for its removal unless debugging.
+$debug ||
+{
+ trap 'exit_status=$?; rm -rf $tmp && exit $exit_status' 0
+ trap '{ (exit 1); exit 1; }' 1 2 13 15
+}
+
+# Create a (secure) tmp directory for tmp files.
+
+{
+ tmp=`(umask 077 && mktemp -d -q "./confstatXXXXXX") 2>/dev/null` &&
+ test -n "$tmp" && test -d "$tmp"
+} ||
+{
+ tmp=./confstat$$-$RANDOM
+ (umask 077 && mkdir $tmp)
+} ||
+{
+ echo "$me: cannot create a temporary directory in ." >&2
+ { (exit 1); exit 1; }
+}
+
+_ACEOF
+
+cat >>$CONFIG_STATUS <<_ACEOF
+
+#
+# CONFIG_FILES section.
+#
+
+# No need to generate the scripts if there are no CONFIG_FILES.
+# This happens for instance when ./config.status config.h
+if test -n "\$CONFIG_FILES"; then
+ # Protect against being on the right side of a sed subst in config.status.
+ sed 's/,@/@@/; s/@,/@@/; s/,;t t\$/@;t t/; /@;t t\$/s/[\\\\&,]/\\\\&/g;
+ s/@@/,@/; s/@@/@,/; s/@;t t\$/,;t t/' >\$tmp/subs.sed <<\\CEOF
+s,@SHELL@,$SHELL,;t t
+s,@PATH_SEPARATOR@,$PATH_SEPARATOR,;t t
+s,@PACKAGE_NAME@,$PACKAGE_NAME,;t t
+s,@PACKAGE_TARNAME@,$PACKAGE_TARNAME,;t t
+s,@PACKAGE_VERSION@,$PACKAGE_VERSION,;t t
+s,@PACKAGE_STRING@,$PACKAGE_STRING,;t t
+s,@PACKAGE_BUGREPORT@,$PACKAGE_BUGREPORT,;t t
+s,@exec_prefix@,$exec_prefix,;t t
+s,@prefix@,$prefix,;t t
+s,@program_transform_name@,$program_transform_name,;t t
+s,@bindir@,$bindir,;t t
+s,@sbindir@,$sbindir,;t t
+s,@libexecdir@,$libexecdir,;t t
+s,@datadir@,$datadir,;t t
+s,@sysconfdir@,$sysconfdir,;t t
+s,@sharedstatedir@,$sharedstatedir,;t t
+s,@localstatedir@,$localstatedir,;t t
+s,@libdir@,$libdir,;t t
+s,@includedir@,$includedir,;t t
+s,@oldincludedir@,$oldincludedir,;t t
+s,@infodir@,$infodir,;t t
+s,@mandir@,$mandir,;t t
+s,@build_alias@,$build_alias,;t t
+s,@host_alias@,$host_alias,;t t
+s,@target_alias@,$target_alias,;t t
+s,@DEFS@,$DEFS,;t t
+s,@ECHO_C@,$ECHO_C,;t t
+s,@ECHO_N@,$ECHO_N,;t t
+s,@ECHO_T@,$ECHO_T,;t t
+s,@LIBS@,$LIBS,;t t
+s,@CC@,$CC,;t t
+s,@CFLAGS@,$CFLAGS,;t t
+s,@LDFLAGS@,$LDFLAGS,;t t
+s,@CPPFLAGS@,$CPPFLAGS,;t t
+s,@ac_ct_CC@,$ac_ct_CC,;t t
+s,@EXEEXT@,$EXEEXT,;t t
+s,@OBJEXT@,$OBJEXT,;t t
+s,@AR@,$AR,;t t
+s,@CHMOD@,$CHMOD,;t t
+s,@CP@,$CP,;t t
+s,@RANLIB@,$RANLIB,;t t
+s,@RM@,$RM,;t t
+s,@LIBOBJS@,$LIBOBJS,;t t
+s,@LTLIBOBJS@,$LTLIBOBJS,;t t
+CEOF
+
+_ACEOF
+
+ cat >>$CONFIG_STATUS <<\_ACEOF
+ # Split the substitutions into bite-sized pieces for seds with
+ # small command number limits, like on Digital OSF/1 and HP-UX.
+ ac_max_sed_lines=48
+ ac_sed_frag=1 # Number of current file.
+ ac_beg=1 # First line for current file.
+ ac_end=$ac_max_sed_lines # Line after last line for current file.
+ ac_more_lines=:
+ ac_sed_cmds=
+ while $ac_more_lines; do
+ if test $ac_beg -gt 1; then
+ sed "1,${ac_beg}d; ${ac_end}q" $tmp/subs.sed >$tmp/subs.frag
+ else
+ sed "${ac_end}q" $tmp/subs.sed >$tmp/subs.frag
+ fi
+ if test ! -s $tmp/subs.frag; then
+ ac_more_lines=false
+ else
+ # The purpose of the label and of the branching condition is to
+ # speed up the sed processing (if there are no `@' at all, there
+ # is no need to browse any of the substitutions).
+ # These are the two extra sed commands mentioned above.
+ (echo ':t
+ /@[a-zA-Z_][a-zA-Z_0-9]*@/!b' && cat $tmp/subs.frag) >$tmp/subs-$ac_sed_frag.sed
+ if test -z "$ac_sed_cmds"; then
+ ac_sed_cmds="sed -f $tmp/subs-$ac_sed_frag.sed"
+ else
+ ac_sed_cmds="$ac_sed_cmds | sed -f $tmp/subs-$ac_sed_frag.sed"
+ fi
+ ac_sed_frag=`expr $ac_sed_frag + 1`
+ ac_beg=$ac_end
+ ac_end=`expr $ac_end + $ac_max_sed_lines`
+ fi
+ done
+ if test -z "$ac_sed_cmds"; then
+ ac_sed_cmds=cat
+ fi
+fi # test -n "$CONFIG_FILES"
+
+_ACEOF
+cat >>$CONFIG_STATUS <<\_ACEOF
+for ac_file in : $CONFIG_FILES; do test "x$ac_file" = x: && continue
+ # Support "outfile[:infile[:infile...]]", defaulting infile="outfile.in".
+ case $ac_file in
+ - | *:- | *:-:* ) # input from stdin
+ cat >$tmp/stdin
+ ac_file_in=`echo "$ac_file" | sed 's,[^:]*:,,'`
+ ac_file=`echo "$ac_file" | sed 's,:.*,,'` ;;
+ *:* ) ac_file_in=`echo "$ac_file" | sed 's,[^:]*:,,'`
+ ac_file=`echo "$ac_file" | sed 's,:.*,,'` ;;
+ * ) ac_file_in=$ac_file.in ;;
+ esac
+
+ # Compute @srcdir@, @top_srcdir@, and @INSTALL@ for subdirectories.
+ ac_dir=`(dirname "$ac_file") 2>/dev/null ||
+$as_expr X"$ac_file" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \
+ X"$ac_file" : 'X\(//\)[^/]' \| \
+ X"$ac_file" : 'X\(//\)$' \| \
+ X"$ac_file" : 'X\(/\)' \| \
+ . : '\(.\)' 2>/dev/null ||
+echo X"$ac_file" |
+ sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ s//\1/; q; }
+ /^X\(\/\/\)[^/].*/{ s//\1/; q; }
+ /^X\(\/\/\)$/{ s//\1/; q; }
+ /^X\(\/\).*/{ s//\1/; q; }
+ s/.*/./; q'`
+ { if $as_mkdir_p; then
+ mkdir -p "$ac_dir"
+ else
+ as_dir="$ac_dir"
+ as_dirs=
+ while test ! -d "$as_dir"; do
+ as_dirs="$as_dir $as_dirs"
+ as_dir=`(dirname "$as_dir") 2>/dev/null ||
+$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \
+ X"$as_dir" : 'X\(//\)[^/]' \| \
+ X"$as_dir" : 'X\(//\)$' \| \
+ X"$as_dir" : 'X\(/\)' \| \
+ . : '\(.\)' 2>/dev/null ||
+echo X"$as_dir" |
+ sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ s//\1/; q; }
+ /^X\(\/\/\)[^/].*/{ s//\1/; q; }
+ /^X\(\/\/\)$/{ s//\1/; q; }
+ /^X\(\/\).*/{ s//\1/; q; }
+ s/.*/./; q'`
+ done
+ test ! -n "$as_dirs" || mkdir $as_dirs
+ fi || { { echo "$as_me:$LINENO: error: cannot create directory \"$ac_dir\"" >&5
+echo "$as_me: error: cannot create directory \"$ac_dir\"" >&2;}
+ { (exit 1); exit 1; }; }; }
+
+ ac_builddir=.
+
+if test "$ac_dir" != .; then
+ ac_dir_suffix=/`echo "$ac_dir" | sed 's,^\.[\\/],,'`
+ # A "../" for each directory in $ac_dir_suffix.
+ ac_top_builddir=`echo "$ac_dir_suffix" | sed 's,/[^\\/]*,../,g'`
+else
+ ac_dir_suffix= ac_top_builddir=
+fi
+
+case $srcdir in
+ .) # No --srcdir option. We are building in place.
+ ac_srcdir=.
+ if test -z "$ac_top_builddir"; then
+ ac_top_srcdir=.
+ else
+ ac_top_srcdir=`echo $ac_top_builddir | sed 's,/$,,'`
+ fi ;;
+ [\\/]* | ?:[\\/]* ) # Absolute path.
+ ac_srcdir=$srcdir$ac_dir_suffix;
+ ac_top_srcdir=$srcdir ;;
+ *) # Relative path.
+ ac_srcdir=$ac_top_builddir$srcdir$ac_dir_suffix
+ ac_top_srcdir=$ac_top_builddir$srcdir ;;
+esac
+
+# Do not use `cd foo && pwd` to compute absolute paths, because
+# the directories may not exist.
+case `pwd` in
+.) ac_abs_builddir="$ac_dir";;
+*)
+ case "$ac_dir" in
+ .) ac_abs_builddir=`pwd`;;
+ [\\/]* | ?:[\\/]* ) ac_abs_builddir="$ac_dir";;
+ *) ac_abs_builddir=`pwd`/"$ac_dir";;
+ esac;;
+esac
+case $ac_abs_builddir in
+.) ac_abs_top_builddir=${ac_top_builddir}.;;
+*)
+ case ${ac_top_builddir}. in
+ .) ac_abs_top_builddir=$ac_abs_builddir;;
+ [\\/]* | ?:[\\/]* ) ac_abs_top_builddir=${ac_top_builddir}.;;
+ *) ac_abs_top_builddir=$ac_abs_builddir/${ac_top_builddir}.;;
+ esac;;
+esac
+case $ac_abs_builddir in
+.) ac_abs_srcdir=$ac_srcdir;;
+*)
+ case $ac_srcdir in
+ .) ac_abs_srcdir=$ac_abs_builddir;;
+ [\\/]* | ?:[\\/]* ) ac_abs_srcdir=$ac_srcdir;;
+ *) ac_abs_srcdir=$ac_abs_builddir/$ac_srcdir;;
+ esac;;
+esac
+case $ac_abs_builddir in
+.) ac_abs_top_srcdir=$ac_top_srcdir;;
+*)
+ case $ac_top_srcdir in
+ .) ac_abs_top_srcdir=$ac_abs_builddir;;
+ [\\/]* | ?:[\\/]* ) ac_abs_top_srcdir=$ac_top_srcdir;;
+ *) ac_abs_top_srcdir=$ac_abs_builddir/$ac_top_srcdir;;
+ esac;;
+esac
+
+
+
+ if test x"$ac_file" != x-; then
+ { echo "$as_me:$LINENO: creating $ac_file" >&5
+echo "$as_me: creating $ac_file" >&6;}
+ rm -f "$ac_file"
+ fi
+ # Let's still pretend it is `configure' which instantiates (i.e., don't
+ # use $as_me), people would be surprised to read:
+ # /* config.h. Generated by config.status. */
+ if test x"$ac_file" = x-; then
+ configure_input=
+ else
+ configure_input="$ac_file. "
+ fi
+ configure_input=$configure_input"Generated from `echo $ac_file_in |
+ sed 's,.*/,,'` by configure."
+
+ # First look for the input files in the build tree, otherwise in the
+ # src tree.
+ ac_file_inputs=`IFS=:
+ for f in $ac_file_in; do
+ case $f in
+ -) echo $tmp/stdin ;;
+ [\\/$]*)
+ # Absolute (can't be DOS-style, as IFS=:)
+ test -f "$f" || { { echo "$as_me:$LINENO: error: cannot find input file: $f" >&5
+echo "$as_me: error: cannot find input file: $f" >&2;}
+ { (exit 1); exit 1; }; }
+ echo "$f";;
+ *) # Relative
+ if test -f "$f"; then
+ # Build tree
+ echo "$f"
+ elif test -f "$srcdir/$f"; then
+ # Source tree
+ echo "$srcdir/$f"
+ else
+ # /dev/null tree
+ { { echo "$as_me:$LINENO: error: cannot find input file: $f" >&5
+echo "$as_me: error: cannot find input file: $f" >&2;}
+ { (exit 1); exit 1; }; }
+ fi;;
+ esac
+ done` || { (exit 1); exit 1; }
+_ACEOF
+cat >>$CONFIG_STATUS <<_ACEOF
+ sed "$ac_vpsub
+$extrasub
+_ACEOF
+cat >>$CONFIG_STATUS <<\_ACEOF
+:t
+/@[a-zA-Z_][a-zA-Z_0-9]*@/!b
+s,@configure_input@,$configure_input,;t t
+s,@srcdir@,$ac_srcdir,;t t
+s,@abs_srcdir@,$ac_abs_srcdir,;t t
+s,@top_srcdir@,$ac_top_srcdir,;t t
+s,@abs_top_srcdir@,$ac_abs_top_srcdir,;t t
+s,@builddir@,$ac_builddir,;t t
+s,@abs_builddir@,$ac_abs_builddir,;t t
+s,@top_builddir@,$ac_top_builddir,;t t
+s,@abs_top_builddir@,$ac_abs_top_builddir,;t t
+" $ac_file_inputs | (eval "$ac_sed_cmds") >$tmp/out
+ rm -f $tmp/stdin
+ if test x"$ac_file" != x-; then
+ mv $tmp/out $ac_file
+ else
+ cat $tmp/out
+ rm -f $tmp/out
+ fi
+
+done
+_ACEOF
+
+cat >>$CONFIG_STATUS <<\_ACEOF
+
+{ (exit 0); exit 0; }
+_ACEOF
+chmod +x $CONFIG_STATUS
+ac_clean_files=$ac_clean_files_save
+
+
+# configure is writing to config.log, and then calls config.status.
+# config.status does its own redirection, appending to config.log.
+# Unfortunately, on DOS this fails, as config.log is still kept open
+# by configure, so config.status won't be able to write to it; its
+# output is simply discarded. So we exec the FD to /dev/null,
+# effectively closing config.log, so it can be properly (re)opened and
+# appended to by config.status. When coming back to configure, we
+# need to make the FD available again.
+if test "$no_create" != yes; then
+ ac_cs_success=:
+ ac_config_status_args=
+ test "$silent" = yes &&
+ ac_config_status_args="$ac_config_status_args --quiet"
+ exec 5>/dev/null
+ $SHELL $CONFIG_STATUS $ac_config_status_args || ac_cs_success=false
+ exec 5>>config.log
+ # Use ||, not &&, to avoid exiting from the if with $? = 1, which
+ # would make configure fail if this is the last instruction.
+ $ac_cs_success || { (exit 1); exit 1; }
+fi
+
diff --git a/configure.in b/configure.in
new file mode 100644
index 0000000..e4517ab
--- /dev/null
+++ b/configure.in
@@ -0,0 +1,14 @@
+dnl Process this file with autoconf to produce a configure script
+AC_INIT(fdlibm,5.3,[FDLIBM COMMENTS <fdlibm-comments AT sun.com>])
+AC_CONFIG_SRCDIR(e_acos.c)
+
+dnl Checks for programs
+AC_PROG_CC
+
+AC_CHECK_PROGS(AR, ar)
+AC_CHECK_PROGS(CHMOD, chmod)
+AC_CHECK_PROGS(CP, cp)
+AC_CHECK_PROGS(RANLIB, [ranlib echo])
+AC_PATH_PROGS(RM, [/bin/rm rm])
+
+AC_OUTPUT(Makefile)
diff --git a/e_acos.c b/e_acos.c
new file mode 100644
index 0000000..1b63553
--- /dev/null
+++ b/e_acos.c
@@ -0,0 +1,105 @@
+
+/* @(#)e_acos.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __ieee754_acos(x)
+ * Method :
+ * acos(x) = pi/2 - ieee_asin(x)
+ * acos(-x) = pi/2 + ieee_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(ieee_sqrt((1-x)/2)))
+ * = 2asin(ieee_sqrt((1-x)/2))
+ * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=ieee_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 ~ ieee_sqrt(z).
+ * For x<-0.5
+ * acos(x) = pi - 2asin(ieee_sqrt((1-|x|)/2))
+ * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=ieee_sqrt(z)
+ *
+ * Special cases:
+ * if x is NaN, return x itself;
+ * if |x|>1, return NaN with invalid signal.
+ *
+ * Function needed: sqrt
+ */
+
+#include "fdlibm.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;
+ int hx,ix;
+ hx = __HI(x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x3ff00000) { /* |x| >= 1 */
+ if(((ix-0x3ff00000)|__LO(x))==0) { /* |x|==1 */
+ if(hx>0) return 0.0; /* ieee_acos(1) = 0 */
+ else return pi+2.0*pio2_lo; /* ieee_acos(-1)= pi */
+ }
+ return (x-x)/(x-x); /* ieee_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 = ieee_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 = ieee_sqrt(z);
+ df = s;
+ __LO(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/e_acosh.c b/e_acosh.c
new file mode 100644
index 0000000..d98e81a
--- /dev/null
+++ b/e_acosh.c
@@ -0,0 +1,65 @@
+
+/* @(#)e_acosh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/* __ieee754_acosh(x)
+ * Method :
+ * Based on
+ * acosh(x) = log [ x + ieee_sqrt(x*x-1) ]
+ * we have
+ * acosh(x) := ieee_log(x)+ln2, if x is large; else
+ * acosh(x) := ieee_log(2x-1/(ieee_sqrt(x*x-1)+x)) if x>2; else
+ * acosh(x) := ieee_log1p(t+ieee_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 "fdlibm.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;
+ int hx;
+ hx = __HI(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)=ieee_log(2x) */
+ } else if(((hx-0x3ff00000)|__LO(x))==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+ieee_sqrt(t-one)));
+ } else { /* 1<x<2 */
+ t = x-one;
+ return ieee_log1p(t+ieee_sqrt(2.0*t+t*t));
+ }
+}
diff --git a/e_asin.c b/e_asin.c
new file mode 100644
index 0000000..e7f9970
--- /dev/null
+++ b/e_asin.c
@@ -0,0 +1,114 @@
+
+/* @(#)e_asin.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __ieee754_asin(x)
+ * Method :
+ * Since ieee_asin(x) = x + x^3/6 + x^5*3/40 + x^7*15/336 + ...
+ * we approximate ieee_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 (ieee_asin(x)-x)/x^3
+ * and its remez error is bounded by
+ * |(ieee_asin(x)-x)/x^3 - R(x^2)| < 2^(-58.75)
+ *
+ * For x in [0.5,1]
+ * asin(x) = pi/2-2*ieee_asin(ieee_sqrt((1-x)/2))
+ * Let y = (1-x), z = y/2, s := ieee_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 = ieee_sqrt(z) - f = (z-f*f)/(s+f) ...f+c=ieee_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 "fdlibm.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;
+ int hx,ix;
+ hx = __HI(x);
+ ix = hx&0x7fffffff;
+ if(ix>= 0x3ff00000) { /* |x|>= 1 */
+ if(((ix-0x3ff00000)|__LO(x))==0)
+ /* ieee_asin(1)=+-pi/2 with inexact */
+ return x*pio2_hi+x*pio2_lo;
+ return (x-x)/(x-x); /* ieee_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-ieee_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 = ieee_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;
+ __LO(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/e_atan2.c b/e_atan2.c
new file mode 100644
index 0000000..73c43dd
--- /dev/null
+++ b/e_atan2.c
@@ -0,0 +1,123 @@
+
+/* @(#)e_atan2.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/* __ieee754_atan2(y,x)
+ * Method :
+ * 1. Reduce y to positive by ieee_atan2(y,x)=-ieee_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 "fdlibm.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;
+ int k,m,hx,hy,ix,iy;
+ unsigned lx,ly;
+
+ hx = __HI(x); ix = hx&0x7fffffff;
+ lx = __LO(x);
+ hy = __HI(y); iy = hy&0x7fffffff;
+ ly = __LO(y);
+ 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 ieee_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; /* ieee_atan(+-0,+anything)=+-0 */
+ case 2: return pi+tiny;/* ieee_atan(+0,-anything) = pi */
+ case 3: return -pi-tiny;/* ieee_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;/* ieee_atan(+INF,+INF) */
+ case 1: return -pi_o_4-tiny;/* ieee_atan(-INF,+INF) */
+ case 2: return 3.0*pi_o_4+tiny;/*ieee_atan(+INF,-INF)*/
+ case 3: return -3.0*pi_o_4-tiny;/*ieee_atan(-INF,-INF)*/
+ }
+ } else {
+ switch(m) {
+ case 0: return zero ; /* ieee_atan(+...,+INF) */
+ case 1: return -zero ; /* ieee_atan(-...,+INF) */
+ case 2: return pi+tiny ; /* ieee_atan(+...,-INF) */
+ case 3: return -pi-tiny ; /* ieee_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=ieee_atan(ieee_fabs(y/x)); /* safe to do y/x */
+ switch (m) {
+ case 0: return z ; /* ieee_atan(+,+) */
+ case 1: __HI(z) ^= 0x80000000;
+ return z ; /* ieee_atan(-,+) */
+ case 2: return pi-(z-pi_lo);/* ieee_atan(+,-) */
+ default: /* case 3 */
+ return (z-pi_lo)-pi;/* ieee_atan(-,-) */
+ }
+}
diff --git a/e_atanh.c b/e_atanh.c
new file mode 100644
index 0000000..4793e4a
--- /dev/null
+++ b/e_atanh.c
@@ -0,0 +1,68 @@
+
+/* @(#)e_atanh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/* __ieee754_atanh(x)
+ * Method :
+ * 1.Reduced x to positive by atanh(-x) = -atanh(x)
+ * 2.For x>=0.5
+ * 1 2x x
+ * atanh(x) = --- * ieee_log(1 + -------) = 0.5 * ieee_log1p(2 * --------)
+ * 2 1 - x 1 - x
+ *
+ * For x<0.5
+ * atanh(x) = 0.5*ieee_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 "fdlibm.h"
+
+#ifdef __STDC__
+static const double one = 1.0, huge = 1e300;
+#else
+static double one = 1.0, huge = 1e300;
+#endif
+
+static double zero = 0.0;
+
+#ifdef __STDC__
+ double __ieee754_atanh(double x)
+#else
+ double __ieee754_atanh(x)
+ double x;
+#endif
+{
+ double t;
+ int hx,ix;
+ unsigned lx;
+ hx = __HI(x); /* high word */
+ lx = __LO(x); /* low word */
+ 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 */
+ __HI(x) = ix; /* x <- |x| */
+ if(ix<0x3fe00000) { /* x < 0.5 */
+ t = x+x;
+ t = 0.5*ieee_log1p(t+t*x/(one-x));
+ } else
+ t = 0.5*ieee_log1p((x+x)/(one-x));
+ if(hx>=0) return t; else return -t;
+}
diff --git a/e_cosh.c b/e_cosh.c
new file mode 100644
index 0000000..a5c5ae6
--- /dev/null
+++ b/e_cosh.c
@@ -0,0 +1,89 @@
+
+/* @(#)e_cosh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __ieee754_cosh(x)
+ * Method :
+ * mathematically ieee_cosh(x) if defined to be (ieee_exp(x)+ieee_exp(-x))/2
+ * 1. Replace x by |x| (ieee_cosh(x) = ieee_cosh(-x)).
+ * 2.
+ * [ ieee_exp(x) - 1 ]^2
+ * 0 <= x <= ln2/2 : ieee_cosh(x) := 1 + -------------------
+ * 2*ieee_exp(x)
+ *
+ * ieee_exp(x) + 1/ieee_exp(x)
+ * ln2/2 <= x <= 22 : ieee_cosh(x) := -------------------
+ * 2
+ * 22 <= x <= lnovft : ieee_cosh(x) := ieee_exp(x)/2
+ * lnovft <= x <= ln2ovft: ieee_cosh(x) := ieee_exp(x/2)/2 * ieee_exp(x/2)
+ * ln2ovft < x : ieee_cosh(x) := huge*huge (overflow)
+ *
+ * Special cases:
+ * cosh(x) is |x| if x is +INF, -INF, or NaN.
+ * only ieee_cosh(0)=1 is exact for finite x.
+ */
+
+#include "fdlibm.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;
+ int ix;
+ unsigned lx;
+
+ /* High word of |x|. */
+ ix = __HI(x);
+ ix &= 0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7ff00000) return x*x;
+
+ /* |x| in [0,0.5*ln2], return 1+ieee_expm1(|x|)^2/(2*ieee_exp(|x|)) */
+ if(ix<0x3fd62e43) {
+ t = ieee_expm1(ieee_fabs(x));
+ w = one+t;
+ if (ix<0x3c800000) return w; /* ieee_cosh(tiny) = 1 */
+ return one+(t*t)/(w+w);
+ }
+
+ /* |x| in [0.5*ln2,22], return (ieee_exp(|x|)+1/ieee_exp(|x|)/2; */
+ if (ix < 0x40360000) {
+ t = __ieee754_exp(ieee_fabs(x));
+ return half*t+half/t;
+ }
+
+ /* |x| in [22, ieee_log(maxdouble)] return half*ieee_exp(|x|) */
+ if (ix < 0x40862E42) return half*__ieee754_exp(ieee_fabs(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ lx = *( (((*(unsigned*)&one)>>29)) + (unsigned*)&x);
+ if (ix<0x408633CE ||
+ (ix==0x408633ce)&&(lx<=(unsigned)0x8fb9f87d)) {
+ w = __ieee754_exp(half*ieee_fabs(x));
+ t = half*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthresold, ieee_cosh(x) overflow */
+ return huge*huge;
+}
diff --git a/e_exp.c b/e_exp.c
new file mode 100644
index 0000000..e7aaa23
--- /dev/null
+++ b/e_exp.c
@@ -0,0 +1,156 @@
+
+/* @(#)e_exp.c 1.6 04/04/22 */
+/*
+ * ====================================================
+ * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __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 ieee_exp(r) by a special rational function on
+ * the interval [0,0.34658]:
+ * Write
+ * R(r**2) = r*(ieee_exp(r)+1)/(ieee_exp(r)-1) = 2 + r*r/6 - r**4/360 + ...
+ * We use a special Remes 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 ieee_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 ieee_exp(x):
+ * From step 1, we have
+ * ieee_exp(x) = 2^k * ieee_exp(r)
+ *
+ * Special cases:
+ * exp(INF) is INF, ieee_exp(NaN) is NaN;
+ * exp(-INF) is 0, and
+ * for finite argument, only ieee_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 ieee_exp(x) overflow
+ * if x < -7.45133219101941108420e+02 then ieee_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 "fdlibm.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;
+ int k,xsb;
+ unsigned hx;
+
+ hx = __HI(x); /* high word of 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) {
+ if(((hx&0xfffff)|__LO(x))!=0)
+ return x+x; /* NaN */
+ else return (xsb==0)? x:0.0; /* ieee_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 = (int)(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) {
+ __HI(y) += (k<<20); /* add k to y's exponent */
+ return y;
+ } else {
+ __HI(y) += ((k+1000)<<20);/* add k to y's exponent */
+ return y*twom1000;
+ }
+}
diff --git a/e_fmod.c b/e_fmod.c
new file mode 100644
index 0000000..e4b413b
--- /dev/null
+++ b/e_fmod.c
@@ -0,0 +1,140 @@
+
+/* @(#)e_fmod.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * __ieee754_fmod(x,y)
+ * Return x mod y in exact arithmetic
+ * Method: shift and subtract
+ */
+
+#include "fdlibm.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
+{
+ int n,hx,hy,hz,ix,iy,sx,i;
+ unsigned lx,ly,lz;
+
+ hx = __HI(x); /* high word of x */
+ lx = __LO(x); /* low word of x */
+ hy = __HI(y); /* high word of y */
+ ly = __LO(y); /* low word of 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[(unsigned)sx>>31]; /* |x|=|y| return x*0*/
+ }
+
+ /* determine ix = ieee_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 = ieee_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[(unsigned)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[(unsigned)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));
+ __HI(x) = hx|sx;
+ __LO(x) = lx;
+ } else { /* subnormal output */
+ n = -1022 - iy;
+ if(n<=20) {
+ lx = (lx>>n)|((unsigned)hx<<(32-n));
+ hx >>= n;
+ } else if (n<=31) {
+ lx = (hx<<(32-n))|(lx>>n); hx = sx;
+ } else {
+ lx = hx>>(n-32); hx = sx;
+ }
+ __HI(x) = hx|sx;
+ __LO(x) = lx;
+ x *= one; /* create necessary signal */
+ }
+ return x; /* exact output */
+}
diff --git a/e_gamma.c b/e_gamma.c
new file mode 100644
index 0000000..f4bc1aa
--- /dev/null
+++ b/e_gamma.c
@@ -0,0 +1,33 @@
+
+/* @(#)e_gamma.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/* __ieee754_gamma(x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call __ieee754_gamma_r
+ */
+
+#include "fdlibm.h"
+
+extern int signgam;
+
+#ifdef __STDC__
+ double __ieee754_gamma(double x)
+#else
+ double __ieee754_gamma(x)
+ double x;
+#endif
+{
+ return __ieee754_gamma_r(x,&signgam);
+}
diff --git a/e_gamma_r.c b/e_gamma_r.c
new file mode 100644
index 0000000..e851083
--- /dev/null
+++ b/e_gamma_r.c
@@ -0,0 +1,32 @@
+
+/* @(#)e_gamma_r.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/* __ieee754_gamma_r(x, signgamp)
+ * Reentrant version of the logarithm of the Gamma function
+ * with user provide pointer for the sign of Gamma(x).
+ *
+ * Method: See __ieee754_lgamma_r
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ double __ieee754_gamma_r(double x, int *signgamp)
+#else
+ double __ieee754_gamma_r(x,signgamp)
+ double x; int *signgamp;
+#endif
+{
+ return __ieee754_lgamma_r(x,signgamp);
+}
diff --git a/e_hypot.c b/e_hypot.c
new file mode 100644
index 0000000..e88701d
--- /dev/null
+++ b/e_hypot.c
@@ -0,0 +1,115 @@
+
+/* @(#)e_hypot.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __ieee754_hypot(x,y)
+ *
+ * Method :
+ * If (assume round-to-nearest) z=x*x+y*y
+ * has error less than ieee_sqrt(2)/2 ulp, than
+ * sqrt(z) has error less than 1 ulp (exercise).
+ *
+ * So, compute ieee_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 ieee_sqrt(x^2+y^2) with error less
+ * than 1 ulps (units in the last place)
+ */
+
+#include "fdlibm.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;
+ int j,k,ha,hb;
+
+ ha = __HI(x)&0x7fffffff; /* high word of x */
+ hb = __HI(y)&0x7fffffff; /* high word of y */
+ if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
+ __HI(a) = ha; /* a <- |a| */
+ __HI(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 */
+ w = a+b; /* for sNaN */
+ if(((ha&0xfffff)|__LO(a))==0) w = a;
+ if(((hb^0x7ff00000)|__LO(b))==0) w = b;
+ return w;
+ }
+ /* scale a and b by 2**-600 */
+ ha -= 0x25800000; hb -= 0x25800000; k += 600;
+ __HI(a) = ha;
+ __HI(b) = hb;
+ }
+ if(hb < 0x20b00000) { /* b < 2**-500 */
+ if(hb <= 0x000fffff) { /* subnormal b or 0 */
+ if((hb|(__LO(b)))==0) return a;
+ t1=0;
+ __HI(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;
+ __HI(a) = ha;
+ __HI(b) = hb;
+ }
+ }
+ /* medium size a and b */
+ w = a-b;
+ if (w>b) {
+ t1 = 0;
+ __HI(t1) = ha;
+ t2 = a-t1;
+ w = ieee_sqrt(t1*t1-(b*(-b)-t2*(a+t1)));
+ } else {
+ a = a+a;
+ y1 = 0;
+ __HI(y1) = hb;
+ y2 = b - y1;
+ t1 = 0;
+ __HI(t1) = ha+0x00100000;
+ t2 = a - t1;
+ w = ieee_sqrt(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+ }
+ if(k!=0) {
+ t1 = 1.0;
+ __HI(t1) += (k<<20);
+ return t1*w;
+ } else return w;
+}
diff --git a/e_j0.c b/e_j0.c
new file mode 100644
index 0000000..2d24c72
--- /dev/null
+++ b/e_j0.c
@@ -0,0 +1,478 @@
+
+/* @(#)e_j0.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __ieee754_j0(x), __ieee754_y0(x)
+ * Bessel function of the first and second kinds of order zero.
+ * Method -- ieee_j0(x):
+ * 1. For tiny x, we use ieee_j0(x) = 1 - x^2/4 + x^4/64 - ...
+ * 2. Reduce x to |x| since ieee_j0(x)=ieee_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) = ieee_sqrt(2/(pi*x))*(p0(x)*ieee_cos(x0)-q0(x)*ieee_sin(x0))
+ * where x0 = x-pi/4. It is better to compute ieee_sin(x0),cos(x0)
+ * as follow:
+ * cos(x0) = ieee_cos(x)cos(pi/4)+ieee_sin(x)sin(pi/4)
+ * = 1/ieee_sqrt(2) * (ieee_cos(x) + ieee_sin(x))
+ * sin(x0) = ieee_sin(x)cos(pi/4)-ieee_cos(x)sin(pi/4)
+ * = 1/ieee_sqrt(2) * (ieee_sin(x) - ieee_cos(x))
+ * (To avoid cancellation, use
+ * sin(x) +- ieee_cos(x) = -ieee_cos(2x)/(ieee_sin(x) -+ ieee_cos(x))
+ * to compute the worse one.)
+ *
+ * 3 Special cases
+ * j0(nan)= nan
+ * j0(0) = 1
+ * j0(inf) = 0
+ *
+ * Method -- ieee_y0(x):
+ * 1. For x<2.
+ * Since
+ * y0(x) = 2/pi*(ieee_j0(x)*(ln(x/2)+Euler) + x^2/4 - ...)
+ * therefore ieee_y0(x)-2/pi*ieee_j0(x)*ln(x) is an even function.
+ * We use the following function to approximate y0,
+ * y0(x) = U(z)/V(z) + (2/pi)*(ieee_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 ieee_j0(x)~1, hence
+ * y0(tiny) = u0 + (2/pi)*ln(tiny), (choose tiny<2**-27)
+ * 2. For x>=2.
+ * y0(x) = ieee_sqrt(2/(pi*x))*(p0(x)*ieee_cos(x0)+q0(x)*ieee_sin(x0))
+ * where x0 = x-pi/4. It is better to compute ieee_sin(x0),cos(x0)
+ * by the method mentioned above.
+ * 3. Special cases: ieee_y0(0)=-inf, ieee_y0(x<0)=NaN, ieee_y0(inf)=0.
+ */
+
+#include "fdlibm.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 */
+
+static double zero = 0.0;
+
+#ifdef __STDC__
+ double __ieee754_j0(double x)
+#else
+ double __ieee754_j0(x)
+ double x;
+#endif
+{
+ double z, s,c,ss,cc,r,u,v;
+ int hx,ix;
+
+ hx = __HI(x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return one/(x*x);
+ x = ieee_fabs(x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = ieee_sin(x);
+ c = ieee_cos(x);
+ ss = s-c;
+ cc = s+c;
+ if(ix<0x7fe00000) { /* make sure x+x not overflow */
+ z = -ieee_cos(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /*
+ * ieee_j0(x) = 1/ieee_sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / ieee_sqrt(x)
+ * ieee_y0(x) = 1/ieee_sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / ieee_sqrt(x)
+ */
+ if(ix>0x48000000) z = (invsqrtpi*cc)/ieee_sqrt(x);
+ else {
+ u = pzero(x); v = qzero(x);
+ z = invsqrtpi*(u*cc-v*ss)/ieee_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;
+ int hx,ix,lx;
+
+ hx = __HI(x);
+ ix = 0x7fffffff&hx;
+ lx = __LO(x);
+ /* Y0(NaN) is NaN, ieee_y0(-inf) is Nan, ieee_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 */
+ /* ieee_y0(x) = ieee_sqrt(2/(pi*x))*(p0(x)*ieee_sin(x0)+q0(x)*ieee_cos(x0))
+ * where x0 = x-pi/4
+ * Better formula:
+ * ieee_cos(x0) = ieee_cos(x)cos(pi/4)+ieee_sin(x)sin(pi/4)
+ * = 1/ieee_sqrt(2) * (ieee_sin(x) + ieee_cos(x))
+ * ieee_sin(x0) = ieee_sin(x)cos(3pi/4)-ieee_cos(x)sin(3pi/4)
+ * = 1/ieee_sqrt(2) * (ieee_sin(x) - ieee_cos(x))
+ * To avoid cancellation, use
+ * ieee_sin(x) +- ieee_cos(x) = -ieee_cos(2x)/(ieee_sin(x) -+ ieee_cos(x))
+ * to compute the worse one.
+ */
+ s = ieee_sin(x);
+ c = ieee_cos(x);
+ ss = s-c;
+ cc = s+c;
+ /*
+ * ieee_j0(x) = 1/ieee_sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / ieee_sqrt(x)
+ * ieee_y0(x) = 1/ieee_sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / ieee_sqrt(x)
+ */
+ if(ix<0x7fe00000) { /* make sure x+x not overflow */
+ z = -ieee_cos(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ if(ix>0x48000000) z = (invsqrtpi*ss)/ieee_sqrt(x);
+ else {
+ u = pzero(x); v = qzero(x);
+ z = invsqrtpi*(u*ss+v*cc)/ieee_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;
+ int ix;
+ ix = 0x7fffffff&__HI(x);
+ 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;
+ int ix;
+ ix = 0x7fffffff&__HI(x);
+ 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/e_j1.c b/e_j1.c
new file mode 100644
index 0000000..f8ed85f
--- /dev/null
+++ b/e_j1.c
@@ -0,0 +1,477 @@
+
+/* @(#)e_j1.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __ieee754_j1(x), __ieee754_y1(x)
+ * Bessel function of the first and second kinds of order zero.
+ * Method -- ieee_j1(x):
+ * 1. For tiny x, we use ieee_j1(x) = x/2 - x^3/16 + x^5/384 - ...
+ * 2. Reduce x to |x| since ieee_j1(x)=-ieee_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) = ieee_sqrt(2/(pi*x))*(p1(x)*ieee_cos(x1)-q1(x)*ieee_sin(x1))
+ * y1(x) = ieee_sqrt(2/(pi*x))*(p1(x)*ieee_sin(x1)+q1(x)*ieee_cos(x1))
+ * where x1 = x-3*pi/4. It is better to compute ieee_sin(x1),cos(x1)
+ * as follow:
+ * cos(x1) = ieee_cos(x)cos(3pi/4)+ieee_sin(x)sin(3pi/4)
+ * = 1/ieee_sqrt(2) * (ieee_sin(x) - ieee_cos(x))
+ * sin(x1) = ieee_sin(x)cos(3pi/4)-ieee_cos(x)sin(3pi/4)
+ * = -1/ieee_sqrt(2) * (ieee_sin(x) + ieee_cos(x))
+ * (To avoid cancellation, use
+ * sin(x) +- ieee_cos(x) = -ieee_cos(2x)/(ieee_sin(x) -+ ieee_cos(x))
+ * to compute the worse one.)
+ *
+ * 3 Special cases
+ * j1(nan)= nan
+ * j1(0) = 0
+ * j1(inf) = 0
+ *
+ * Method -- ieee_y1(x):
+ * 1. screen out x<=0 cases: ieee_y1(0)=-inf, ieee_y1(x<0)=NaN
+ * 2. For x<2.
+ * Since
+ * y1(x) = 2/pi*(ieee_j1(x)*(ln(x/2)+Euler)-1/x-x/2+5/64*x^3-...)
+ * therefore ieee_y1(x)-2/pi*ieee_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)*(ieee_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) = ieee_sqrt(2/(pi*x))*(p1(x)*ieee_sin(x1)+q1(x)*ieee_cos(x1))
+ * where x1 = x-3*pi/4. It is better to compute ieee_sin(x1),cos(x1)
+ * by method mentioned above.
+ */
+
+#include "fdlibm.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 */
+
+static double zero = 0.0;
+
+#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;
+ int hx,ix;
+
+ hx = __HI(x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return one/x;
+ y = ieee_fabs(x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = ieee_sin(y);
+ c = ieee_cos(y);
+ ss = -s-c;
+ cc = s-c;
+ if(ix<0x7fe00000) { /* make sure y+y not overflow */
+ z = ieee_cos(y+y);
+ if ((s*c)>zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /*
+ * ieee_j1(x) = 1/ieee_sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / ieee_sqrt(x)
+ * ieee_y1(x) = 1/ieee_sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / ieee_sqrt(x)
+ */
+ if(ix>0x48000000) z = (invsqrtpi*cc)/ieee_sqrt(y);
+ else {
+ u = pone(y); v = qone(y);
+ z = invsqrtpi*(u*cc-v*ss)/ieee_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;
+ int hx,ix,lx;
+
+ hx = __HI(x);
+ ix = 0x7fffffff&hx;
+ lx = __LO(x);
+ /* 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 = ieee_sin(x);
+ c = ieee_cos(x);
+ ss = -s-c;
+ cc = s-c;
+ if(ix<0x7fe00000) { /* make sure x+x not overflow */
+ z = ieee_cos(x+x);
+ if ((s*c)>zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /* ieee_y1(x) = ieee_sqrt(2/(pi*x))*(p1(x)*ieee_sin(x0)+q1(x)*ieee_cos(x0))
+ * where x0 = x-3pi/4
+ * Better formula:
+ * ieee_cos(x0) = ieee_cos(x)cos(3pi/4)+ieee_sin(x)sin(3pi/4)
+ * = 1/ieee_sqrt(2) * (ieee_sin(x) - ieee_cos(x))
+ * ieee_sin(x0) = ieee_sin(x)cos(3pi/4)-ieee_cos(x)sin(3pi/4)
+ * = -1/ieee_sqrt(2) * (ieee_cos(x) + ieee_sin(x))
+ * To avoid cancellation, use
+ * ieee_sin(x) +- ieee_cos(x) = -ieee_cos(2x)/(ieee_sin(x) -+ ieee_cos(x))
+ * to compute the worse one.
+ */
+ if(ix>0x48000000) z = (invsqrtpi*ss)/ieee_sqrt(x);
+ else {
+ u = pone(x); v = qone(x);
+ z = invsqrtpi*(u*ss+v*cc)/ieee_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;
+ int ix;
+ ix = 0x7fffffff&__HI(x);
+ 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;
+ int ix;
+ ix = 0x7fffffff&__HI(x);
+ 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/e_jn.c b/e_jn.c
new file mode 100644
index 0000000..782bda3
--- /dev/null
+++ b/e_jn.c
@@ -0,0 +1,272 @@
+
+/* @(#)e_jn.c 1.4 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * __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)=ieee_y1(0)=ieee_yn(n,0) = -inf with division by zero signal;
+ * y0(-ve)=ieee_y1(-ve)=ieee_yn(n,-ve) are NaN with invalid signal.
+ * Note 2. About ieee_jn(n,x), ieee_yn(n,x)
+ * For n=0, ieee_j0(x) is called,
+ * for n=1, ieee_j1(x) is called,
+ * for n<x, forward recursion us used starting
+ * from values of ieee_j0(x) and ieee_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 "fdlibm.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 */
+
+static double zero = 0.00000000000000000000e+00;
+
+#ifdef __STDC__
+ double __ieee754_jn(int n, double x)
+#else
+ double __ieee754_jn(n,x)
+ int n; double x;
+#endif
+{
+ int 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)
+ */
+ hx = __HI(x);
+ ix = 0x7fffffff&hx;
+ lx = __LO(x);
+ /* if J(n,NaN) is NaN */
+ if((ix|((unsigned)(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 = ieee_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) = ieee_cos(x-(2n+1)*pi/4)*ieee_sqrt(2/x*pi)
+ * Yn(x) = ieee_sin(x-(2n+1)*pi/4)*ieee_sqrt(2/x*pi)
+ * Let s=ieee_sin(x), c=ieee_cos(x),
+ * xn=x-(2n+1)*pi/4, sqt2 = ieee_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 = ieee_cos(x)+ieee_sin(x); break;
+ case 1: temp = -ieee_cos(x)+ieee_sin(x); break;
+ case 2: temp = -ieee_cos(x)-ieee_sin(x); break;
+ case 3: temp = ieee_cos(x)-ieee_sin(x); break;
+ }
+ b = invsqrtpi*temp/ieee_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; int 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 ieee_log((2/x)^n*n!) = n*ieee_log(2/x)+n*ln(n)
+ * Hence, if n*(ieee_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(ieee_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
+{
+ int i,hx,ix,lx;
+ int sign;
+ double a, b, temp;
+
+ hx = __HI(x);
+ ix = 0x7fffffff&hx;
+ lx = __LO(x);
+ /* if Y(n,NaN) is NaN */
+ if((ix|((unsigned)(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) = ieee_cos(x-(2n+1)*pi/4)*ieee_sqrt(2/x*pi)
+ * Yn(x) = ieee_sin(x-(2n+1)*pi/4)*ieee_sqrt(2/x*pi)
+ * Let s=ieee_sin(x), c=ieee_cos(x),
+ * xn=x-(2n+1)*pi/4, sqt2 = ieee_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 = ieee_sin(x)-ieee_cos(x); break;
+ case 1: temp = -ieee_sin(x)-ieee_cos(x); break;
+ case 2: temp = -ieee_sin(x)+ieee_cos(x); break;
+ case 3: temp = ieee_sin(x)+ieee_cos(x); break;
+ }
+ b = invsqrtpi*temp/ieee_sqrt(x);
+ } else {
+ a = __ieee754_y0(x);
+ b = __ieee754_y1(x);
+ /* quit if b is -inf */
+ for(i=1;i<n&&(__HI(b) != 0xfff00000);i++){
+ temp = b;
+ b = ((double)(i+i)/x)*b - a;
+ a = temp;
+ }
+ }
+ if(sign>0) return b; else return -b;
+}
diff --git a/e_lgamma.c b/e_lgamma.c
new file mode 100644
index 0000000..91677d6
--- /dev/null
+++ b/e_lgamma.c
@@ -0,0 +1,33 @@
+
+/* @(#)e_lgamma.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/* __ieee754_lgamma(x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call __ieee754_lgamma_r
+ */
+
+#include "fdlibm.h"
+
+extern int signgam;
+
+#ifdef __STDC__
+ double __ieee754_lgamma(double x)
+#else
+ double __ieee754_lgamma(x)
+ double x;
+#endif
+{
+ return __ieee754_lgamma_r(x,&signgam);
+}
diff --git a/e_lgamma_r.c b/e_lgamma_r.c
new file mode 100644
index 0000000..42c1ebb
--- /dev/null
+++ b/e_lgamma_r.c
@@ -0,0 +1,304 @@
+
+/* @(#)e_lgamma_r.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/* __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 ieee_gamma(1+s)=s*ieee_gamma(s), for x in [0,8], we may
+ * reduce x to a number in [1.5,2.5] by
+ * lgamma(1+s) = ieee_log(s) + ieee_lgamma(s)
+ * for example,
+ * lgamma(7.3) = ieee_log(6.3) + ieee_lgamma(6.3)
+ * = ieee_log(6.3*5.3) + ieee_lgamma(5.3)
+ * = ieee_log(6.3*5.3*4.3*3.3*2.3) + ieee_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 - (ieee_lgamma(x)-0.5s)| < 2**-61.71
+ * Our algorithms are based on the following observation
+ *
+ * zeta(2)-1 2 zeta(3)-1 3
+ * ieee_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*ieee_log(2pi)+1/(12x)-1/(360x**3)+....
+ * (better formula:
+ * ieee_lgamma(x)~(x-0.5)*(ieee_log(x)-1)-.5*(ieee_log(2pi)-1) + ...)
+ * Let z = 1/x, then we approximation
+ * f(z) = ieee_lgamma(x) - (x-0.5)(ieee_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/ieee_sin(pi*x),
+ * we have
+ * G(x) = pi/(ieee_sin(pi*x)*(-x)*G(-x))
+ * since G(-x) is positive, sign(G(x)) = sign(ieee_sin(pi*x)) for x<0
+ * Hence, for x<0, signgam = sign(ieee_sin(pi*x)) and
+ * lgamma(x) = ieee_log(|Gamma(x)|)
+ * = ieee_log(pi/(|x*ieee_sin(pi*x)|)) - ieee_lgamma(-x);
+ * Note: one should avoid compute pi*(-x) directly in the
+ * computation of ieee_sin(pi*(-x)).
+ *
+ * 5. Special Cases
+ * lgamma(2+s) ~ s*(1-Euler) for tiny s
+ * lgamma(1)=ieee_lgamma(2)=0
+ * lgamma(x) ~ -ieee_log(x) for tiny x
+ * lgamma(0) = ieee_lgamma(inf) = inf
+ * lgamma(-integer) = +-inf
+ *
+ */
+
+#include "fdlibm.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 */
+
+static double zero= 0.00000000000000000000e+00;
+
+#ifdef __STDC__
+ static double sin_pi(double x)
+#else
+ static double sin_pi(x)
+ double x;
+#endif
+{
+ double y,z;
+ int n,ix;
+
+ ix = 0x7fffffff&__HI(x);
+
+ 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 = ieee_floor(y);
+ if(z!=y) { /* inexact anyway */
+ y *= 0.5;
+ y = 2.0*(y - ieee_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 */
+ n = __LO(z)&1; /* lower word of z */
+ 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;
+
+ hx = __HI(x);
+ lx = __LO(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 -ieee_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/ieee_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) { /* ieee_lgamma(x) = ieee_lgamma(x+1)-ieee_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; /* ieee_lgamma(1+s) = ieee_log(s) + ieee_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/e_log.c b/e_log.c
new file mode 100644
index 0000000..13c14c8
--- /dev/null
+++ b/e_log.c
@@ -0,0 +1,139 @@
+
+/* @(#)e_log.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __ieee754_log(x)
+ * Return the logrithm of x
+ *
+ * Method :
+ * 1. Argument Reduction: find k and f such that
+ * x = 2^k * (1+f),
+ * where ieee_sqrt(2)/2 < 1+f < ieee_sqrt(2) .
+ *
+ * 2. Approximation of ieee_log(1+f).
+ * Let s = f/(2+f) ; based on ieee_log(1+f) = ieee_log(1+s) - ieee_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, ieee_log(x) = k*ln2 + ieee_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; ieee_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 "fdlibm.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 */
+
+static double zero = 0.0;
+
+#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;
+ int k,hx,i,j;
+ unsigned lx;
+
+ hx = __HI(x); /* high word of x */
+ lx = __LO(x); /* low word of x */
+
+ k=0;
+ if (hx < 0x00100000) { /* x < 2**-1022 */
+ if (((hx&0x7fffffff)|lx)==0)
+ return -two54/zero; /* ieee_log(+-0)=-inf */
+ if (hx<0) return (x-x)/zero; /* ieee_log(-#) = NaN */
+ k -= 54; x *= two54; /* subnormal number, scale up x */
+ hx = __HI(x); /* high word of x */
+ }
+ if (hx >= 0x7ff00000) return x+x;
+ k += (hx>>20)-1023;
+ hx &= 0x000fffff;
+ i = (hx+0x95f64)&0x100000;
+ __HI(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/e_log10.c b/e_log10.c
new file mode 100644
index 0000000..1a705f2
--- /dev/null
+++ b/e_log10.c
@@ -0,0 +1,91 @@
+
+/* @(#)e_log10.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __ieee754_log10(x)
+ * Return the base 10 logarithm of x
+ *
+ * Method :
+ * Let log10_2hi = leading 40 bits of ieee_log10(2) and
+ * log10_2lo = ieee_log10(2) - log10_2hi,
+ * ivln10 = 1/ieee_log(10) rounded.
+ * Then
+ * n = ieee_ilogb(x),
+ * if(n<0) n = n+1;
+ * x = ieee_scalbn(x,-n);
+ * log10(x) := n*log10_2hi + (n*log10_2lo + ivln10*ieee_log(x))
+ *
+ * Note 1:
+ * To guarantee ieee_log10(10**n)=n, where 10**n is normal, the rounding
+ * mode must set to Round-to-Nearest.
+ * Note 2:
+ * [1/ieee_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; ieee_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 "fdlibm.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 */
+
+static double zero = 0.0;
+
+#ifdef __STDC__
+ double __ieee754_log10(double x)
+#else
+ double __ieee754_log10(x)
+ double x;
+#endif
+{
+ double y,z;
+ int i,k,hx;
+ unsigned lx;
+
+ hx = __HI(x); /* high word of x */
+ lx = __LO(x); /* low word of x */
+
+ k=0;
+ if (hx < 0x00100000) { /* x < 2**-1022 */
+ if (((hx&0x7fffffff)|lx)==0)
+ return -two54/zero; /* ieee_log(+-0)=-inf */
+ if (hx<0) return (x-x)/zero; /* ieee_log(-#) = NaN */
+ k -= 54; x *= two54; /* subnormal number, scale up x */
+ hx = __HI(x); /* high word of x */
+ }
+ if (hx >= 0x7ff00000) return x+x;
+ k += (hx>>20)-1023;
+ i = ((unsigned)k&0x80000000)>>31;
+ hx = (hx&0x000fffff)|((0x3ff-i)<<20);
+ y = (double)(k+i);
+ __HI(x) = hx;
+ z = y*log10_2lo + ivln10*__ieee754_log(x);
+ return z+y*log10_2hi;
+}
diff --git a/e_pow.c b/e_pow.c
new file mode 100644
index 0000000..808d53f
--- /dev/null
+++ b/e_pow.c
@@ -0,0 +1,309 @@
+
+#ifndef lint
+static char sccsid[] = "@(#)e_pow.c 1.5 04/04/22 SMI";
+#endif
+
+/*
+ * ====================================================
+ * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __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*ieee_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 "fdlibm.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)*(ieee_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;
+ int i0,i1,i,j,k,yisint,n;
+ int hx,hy,ix,iy;
+ unsigned lx,ly;
+
+ i0 = ((*(int*)&one)>>29)^1; i1=1-i0;
+ hx = __HI(x); lx = __LO(x);
+ hy = __HI(y); ly = __LO(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 ieee_sqrt(x);
+ }
+ }
+
+ ax = ieee_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;
+ }
+ }
+
+ n = (hx>>31)+1;
+
+ /* (x<0)**(non-int) is NaN */
+ if((n|yisint)==0) return (x-x)/(x-x);
+
+ s = one; /* s (sign of result -ve**odd) = -1 else = 1 */
+ if((n|(yisint-1))==0) s = -one;/* (-ve)**(odd int) */
+
+ /* |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)? s*huge*huge:s*tiny*tiny;
+ if(ix>0x3ff00000) return (hy>0)? s*huge*huge:s*tiny*tiny;
+ /* now |1-x| is tiny <= 2**-20, suffice to compute
+ ieee_log(x) by x-x^2/2+x^3/3-x^4/4 */
+ t = ax-one; /* 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;
+ __LO(t1) = 0;
+ t2 = v-(t1-u);
+ } else {
+ double ss,s2,s_h,s_l,t_h,t_l;
+ n = 0;
+ /* take care subnormal number */
+ if(ix<0x00100000)
+ {ax *= two53; n -= 53; ix = __HI(ax); }
+ n += ((ix)>>20)-0x3ff;
+ j = ix&0x000fffff;
+ /* determine interval */
+ ix = j|0x3ff00000; /* normalize ix */
+ if(j<=0x3988E) k=0; /* |x|<ieee_sqrt(3/2) */
+ else if(j<0xBB67A) k=1; /* |x|<ieee_sqrt(3) */
+ else {k=0;n+=1;ix -= 0x00100000;}
+ __HI(ax) = ix;
+
+ /* compute ss = 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]);
+ ss = u*v;
+ s_h = ss;
+ __LO(s_h) = 0;
+ /* t_h=ax+bp[k] High */
+ t_h = zero;
+ __HI(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 ieee_log(ax) */
+ s2 = ss*ss;
+ r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
+ r += s_l*(s_h+ss);
+ s2 = s_h*s_h;
+ t_h = 3.0+s2+r;
+ __LO(t_h) = 0;
+ t_l = r-((t_h-3.0)-s2);
+ /* u+v = ss*(1+...) */
+ u = s_h*t_h;
+ v = s_l*t_h+t_l*ss;
+ /* 2/(3log2)*(ss+...) */
+ p_h = u+v;
+ __LO(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) = (ss+..)*2/(3*log2) = n + dp_h + z_h + z_l */
+ t = (double)n;
+ t1 = (((z_h+z_l)+dp_h[k])+t);
+ __LO(t1) = 0;
+ t2 = z_l-(((t1-t)-dp_h[k])-z_h);
+ }
+
+ /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
+ y1 = y;
+ __LO(y1) = 0;
+ p_l = (y-y1)*t1+y*t2;
+ p_h = y1*t1;
+ z = p_l+p_h;
+ j = __HI(z);
+ i = __LO(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;
+ __HI(t) = (n&~(0x000fffff>>k));
+ n = ((n&0x000fffff)|0x00100000)>>(20-k);
+ if(j<0) n = -n;
+ p_h -= t;
+ }
+ t = p_l+p_h;
+ __LO(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);
+ j = __HI(z);
+ j += (n<<20);
+ if((j>>20)<=0) z = ieee_scalbn(z,n); /* subnormal output */
+ else __HI(z) += (n<<20);
+ return s*z;
+}
diff --git a/e_rem_pio2.c b/e_rem_pio2.c
new file mode 100644
index 0000000..42f14f8
--- /dev/null
+++ b/e_rem_pio2.c
@@ -0,0 +1,175 @@
+
+/* @(#)e_rem_pio2.c 1.4 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/* __ieee754_rem_pio2(x,y)
+ *
+ * return the remainder of x rem pi/2 in y[0]+y[1]
+ * use __kernel_rem_pio2()
+ */
+
+#include "fdlibm.h"
+
+/*
+ * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi
+ */
+#ifdef __STDC__
+static const int two_over_pi[] = {
+#else
+static int 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 int npio2_hw[] = {
+#else
+static int 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__
+ int __ieee754_rem_pio2(double x, double *y)
+#else
+ int __ieee754_rem_pio2(x,y)
+ double x,y[];
+#endif
+{
+ double z,w,t,r,fn;
+ double tx[3];
+ int e0,i,j,nx,n,ix,hx;
+
+ hx = __HI(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 = ieee_fabs(x);
+ n = (int) (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 {
+ j = ix>>20;
+ y[0] = r-w;
+ i = j-(((__HI(y[0]))>>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;
+ i = j-(((__HI(y[0]))>>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 = ieee_scalbn(|x|,ilogb(x)-23) */
+ __LO(z) = __LO(x);
+ e0 = (ix>>20)-1046; /* e0 = ieee_ilogb(z)-23; */
+ __HI(z) = ix - (e0<<20);
+ for(i=0;i<2;i++) {
+ tx[i] = (double)((int)(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/e_remainder.c b/e_remainder.c
new file mode 100644
index 0000000..6de2135
--- /dev/null
+++ b/e_remainder.c
@@ -0,0 +1,77 @@
+
+/* @(#)e_remainder.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __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 ieee_fmod() return x-[x/p]chopped*p exactlp.
+ */
+
+#include "fdlibm.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
+{
+ int hx,hp;
+ unsigned sx,lx,lp;
+ double p_half;
+
+ hx = __HI(x); /* high word of x */
+ lx = __LO(x); /* low word of x */
+ hp = __HI(p); /* high word of p */
+ lp = __LO(p); /* low word of 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 = ieee_fabs(x);
+ p = ieee_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;
+ }
+ }
+ __HI(x) ^= sx;
+ return x;
+}
diff --git a/e_scalb.c b/e_scalb.c
new file mode 100644
index 0000000..f7f77c2
--- /dev/null
+++ b/e_scalb.c
@@ -0,0 +1,51 @@
+
+/* @(#)e_scalb.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * __ieee754_scalb(x, fn) is provide for
+ * passing various standard test suite. One
+ * should use ieee_scalbn() instead.
+ */
+
+#include "fdlibm.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 ieee_scalbn(x,fn);
+#else
+ if (ieee_isnan(x)||ieee_isnan(fn)) return x*fn;
+ if (!ieee_finite(fn)) {
+ if(fn>0.0) return x*fn;
+ else return x/(-fn);
+ }
+ if (ieee_rint(fn)!=fn) return (fn-fn)/(fn-fn);
+ if ( fn > 65000.0) return ieee_scalbn(x, 65000);
+ if (-fn > 65000.0) return ieee_scalbn(x,-65000);
+ return ieee_scalbn(x,(int)fn);
+#endif
+}
diff --git a/e_sinh.c b/e_sinh.c
new file mode 100644
index 0000000..0a807c7
--- /dev/null
+++ b/e_sinh.c
@@ -0,0 +1,82 @@
+
+/* @(#)e_sinh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __ieee754_sinh(x)
+ * Method :
+ * mathematically ieee_sinh(x) if defined to be (ieee_exp(x)-ieee_exp(-x))/2
+ * 1. Replace x by |x| (ieee_sinh(-x) = -ieee_sinh(x)).
+ * 2.
+ * E + E/(E+1)
+ * 0 <= x <= 22 : ieee_sinh(x) := --------------, E=ieee_expm1(x)
+ * 2
+ *
+ * 22 <= x <= lnovft : ieee_sinh(x) := ieee_exp(x)/2
+ * lnovft <= x <= ln2ovft: ieee_sinh(x) := ieee_exp(x/2)/2 * ieee_exp(x/2)
+ * ln2ovft < x : ieee_sinh(x) := x*shuge (overflow)
+ *
+ * Special cases:
+ * sinh(x) is |x| if x is +INF, -INF, or NaN.
+ * only ieee_sinh(0)=0 is exact for finite x.
+ */
+
+#include "fdlibm.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;
+ int ix,jx;
+ unsigned lx;
+
+ /* High word of |x|. */
+ jx = __HI(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;/* ieee_sinh(tiny) = tiny with inexact */
+ t = ieee_expm1(ieee_fabs(x));
+ if(ix<0x3ff00000) return h*(2.0*t-t*t/(t+one));
+ return h*(t+t/(t+one));
+ }
+
+ /* |x| in [22, ieee_log(maxdouble)] return 0.5*ieee_exp(|x|) */
+ if (ix < 0x40862E42) return h*__ieee754_exp(ieee_fabs(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ lx = *( (((*(unsigned*)&one)>>29)) + (unsigned*)&x);
+ if (ix<0x408633CE || (ix==0x408633ce)&&(lx<=(unsigned)0x8fb9f87d)) {
+ w = __ieee754_exp(0.5*ieee_fabs(x));
+ t = h*w;
+ return t*w;
+ }
+
+ /* |x| > overflowthresold, ieee_sinh(x) overflow */
+ return x*shuge;
+}
diff --git a/e_sqrt.c b/e_sqrt.c
new file mode 100644
index 0000000..942cbc7
--- /dev/null
+++ b/e_sqrt.c
@@ -0,0 +1,450 @@
+/* @(#)e_sqrt.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __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 * ieee_sqrt(y)
+ * 2. Bit by bit computation
+ * Let q = ieee_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 "fdlibm.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;
+ int sign = (int)0x80000000;
+ unsigned r,t1,s1,ix1,q1;
+ int ix0,s0,q,m,t,i;
+
+ ix0 = __HI(x); /* high word of x */
+ ix1 = __LO(x); /* low word of x */
+
+ /* take care of Inf and NaN */
+ if((ix0&0x7ff00000)==0x7ff00000) {
+ return x*x+x; /* ieee_sqrt(NaN)=NaN, ieee_sqrt(+inf)=+inf
+ ieee_sqrt(-inf)=sNaN */
+ }
+ /* take care of zero */
+ if(ix0<=0) {
+ if(((ix0&(~sign))|ix1)==0) return x;/* ieee_sqrt(+-0) = +-0 */
+ else if(ix0<0)
+ return (x-x)/(x-x); /* ieee_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 ieee_sqrt(x) bit by bit */
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ q = q1 = s0 = s1 = 0; /* [q,q1] = ieee_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==(unsigned)0xffffffff) { q1=0; q += 1;}
+ else if (z>one) {
+ if (q1==(unsigned)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);
+ __HI(z) = ix0;
+ __LO(z) = 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 ieee_sqrt(x)
+ (IEEE double precision arithmetic) in software.
+ Both supply ieee_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. ieee_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 ieee_sqrt(x) as
+ follows.
+
+ k := (x0>>1) + 0x1ff80000;
+ y0 := k - T1[31&(k>>15)]. ... y ~ ieee_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 ieee_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*ieee_sqrt(x)
+ y := y - 0x00100006 ... almost 18 sig. bits to ieee_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 ieee_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 ieee_sqrt(x):=y.
+ } else {
+ z := z - ulp; ... special rounding
+ }
+ }
+ i := TRUE; ... ieee_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 ieee_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. ieee_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/ieee_sqrt(x) as follows.
+
+ k := 0x5fe80000 - (x0>>1);
+ y0:= k - T2[63&(k>>14)]. ... y ~ 1/ieee_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/ieee_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 ieee_sqrt(x)
+ to about 1 ulp. To be exact, we will have
+ -1ulp < ieee_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/ieee_sqrt(x)
+ y := y*((1.5-2^-30)+0.5*x*y*y)... about 29 sig. bits to 1/ieee_sqrt(x)
+ ... special arrangement for better accuracy
+ z := x*y ... 29 bits to ieee_sqrt(x), with z*y<1
+ z := z + 0.5*z*(1-z*y) ... about 1 ulp to ieee_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 < ieee_sqrt(x) - z < 1.0625 ulp
+ instead of |ieee_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 ieee_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 = ieee_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 ieee_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 ieee_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/fdlibm.h b/fdlibm.h
new file mode 100644
index 0000000..f90d5c9
--- /dev/null
+++ b/fdlibm.h
@@ -0,0 +1,216 @@
+
+/* @(#)fdlibm.h 1.5 04/04/22 */
+/*
+ * ====================================================
+ * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* Sometimes it's necessary to define __LITTLE_ENDIAN explicitly
+ but these catch some common cases. */
+
+#if defined(i386) || defined(i486) || \
+ defined(intel) || defined(x86) || defined(i86pc) || \
+ defined(__alpha) || defined(__osf__)
+#define __LITTLE_ENDIAN
+#endif
+
+#ifdef __LITTLE_ENDIAN
+#define __HI(x) *(1+(int*)&x)
+#define __LO(x) *(int*)&x
+#define __HIp(x) *(1+(int*)x)
+#define __LOp(x) *(int*)x
+#else
+#define __HI(x) *(int*)&x
+#define __LO(x) *(1+(int*)&x)
+#define __HIp(x) *(int*)x
+#define __LOp(x) *(1+(int*)x)
+#endif
+
+#ifdef __STDC__
+#define __P(p) p
+#else
+#define __P(p) ()
+#endif
+
+/*
+ * ANSI/POSIX
+ */
+
+extern int signgam;
+
+#define MAXFLOAT ((float)3.40282346638528860e+38)
+
+enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
+
+#define _LIB_VERSION_TYPE enum fdversion
+#define _LIB_VERSION _fdlib_version
+
+/* if global variable _LIB_VERSION is not desirable, one may
+ * change the following to be a constant by:
+ * #define _LIB_VERSION_TYPE const enum version
+ * In that case, after one initializes the value _LIB_VERSION (see
+ * s_lib_version.c) during compile time, it cannot be modified
+ * in the middle of a program
+ */
+extern _LIB_VERSION_TYPE _LIB_VERSION;
+
+#define _IEEE_ fdlibm_ieee
+#define _SVID_ fdlibm_svid
+#define _XOPEN_ fdlibm_xopen
+#define _POSIX_ fdlibm_posix
+
+struct exception {
+ int type;
+ char *name;
+ double arg1;
+ double arg2;
+ double retval;
+};
+
+#define HUGE MAXFLOAT
+
+/*
+ * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
+ * (one may replace the following line by "#include <values.h>")
+ */
+
+#define X_TLOSS 1.41484755040568800000e+16
+
+#define DOMAIN 1
+#define SING 2
+#define OVERFLOW 3
+#define UNDERFLOW 4
+#define TLOSS 5
+#define PLOSS 6
+
+/*
+ * ANSI/POSIX
+ */
+extern double ieee_acos __P((double));
+extern double ieee_asin __P((double));
+extern double ieee_atan __P((double));
+extern double ieee_atan2 __P((double, double));
+extern double ieee_cos __P((double));
+extern double ieee_sin __P((double));
+extern double ieee_tan __P((double));
+
+extern double ieee_cosh __P((double));
+extern double ieee_sinh __P((double));
+extern double ieee_tanh __P((double));
+
+extern double ieee_exp __P((double));
+extern double ieee_frexp __P((double, int *));
+extern double ieee_ldexp __P((double, int));
+extern double ieee_log __P((double));
+extern double ieee_log10 __P((double));
+extern double ieee_modf __P((double, double *));
+
+extern double ieee_pow __P((double, double));
+extern double ieee_sqrt __P((double));
+
+extern double ieee_ceil __P((double));
+extern double ieee_fabs __P((double));
+extern double ieee_floor __P((double));
+extern double ieee_fmod __P((double, double));
+
+extern double ieee_erf __P((double));
+extern double ieee_erfc __P((double));
+extern double ieee_gamma __P((double));
+extern double ieee_hypot __P((double, double));
+extern int ieee_isnan __P((double));
+extern int ieee_finite __P((double));
+extern double ieee_j0 __P((double));
+extern double ieee_j1 __P((double));
+extern double ieee_jn __P((int, double));
+extern double ieee_lgamma __P((double));
+extern double ieee_y0 __P((double));
+extern double ieee_y1 __P((double));
+extern double ieee_yn __P((int, double));
+
+extern double acosh __P((double));
+extern double asinh __P((double));
+extern double atanh __P((double));
+extern double ieee_cbrt __P((double));
+extern double ieee_logb __P((double));
+extern double ieee_nextafter __P((double, double));
+extern double ieee_remainder __P((double, double));
+#ifdef _SCALB_INT
+extern double ieee_scalb __P((double, int));
+#else
+extern double ieee_scalb __P((double, double));
+#endif
+
+extern int ieee_matherr __P((struct exception *));
+
+/*
+ * IEEE Test Vector
+ */
+extern double ieee_significand __P((double));
+
+/*
+ * Functions callable from C, intended to support IEEE arithmetic.
+ */
+extern double ieee_copysign __P((double, double));
+extern int ieee_ilogb __P((double));
+extern double ieee_rint __P((double));
+extern double ieee_scalbn __P((double, int));
+
+/*
+ * BSD math library entry points
+ */
+extern double ieee_expm1 __P((double));
+extern double ieee_log1p __P((double));
+
+/*
+ * Reentrant version of gamma & lgamma; passes signgam back by reference
+ * as the second argument; user must allocate space for signgam.
+ */
+#ifdef _REENTRANT
+extern double ieee_gamma_r __P((double, int *));
+extern double ieee_lgamma_r __P((double, int *));
+#endif /* _REENTRANT */
+
+/* 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*));
+#ifdef _SCALB_INT
+extern double __ieee754_scalb __P((double,int));
+#else
+extern double __ieee754_scalb __P((double,double));
+#endif
+
+/* 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*));
diff --git a/index b/index
new file mode 100644
index 0000000..de2de81
--- /dev/null
+++ b/index
@@ -0,0 +1,168 @@
+file fdlibm/fdlibm.h
+
+file fdlibm/index
+
+file fdlibm/e_acos.c
+
+file fdlibm/e_acosh.c
+
+file fdlibm/e_asin.c
+
+file fdlibm/e_atan2.c
+
+file fdlibm/e_atanh.c
+
+file fdlibm/e_cosh.c
+
+file fdlibm/e_exp.c
+
+file fdlibm/e_fmod.c
+
+file fdlibm/e_gamma.c
+
+file fdlibm/e_gamma_r.c
+
+file fdlibm/e_hypot.c
+
+file fdlibm/e_j0.c
+
+file fdlibm/e_j1.c
+
+file fdlibm/e_jn.c
+
+file fdlibm/e_lgamma.c
+
+file fdlibm/e_lgamma_r.c
+
+file fdlibm/e_log.c
+
+file fdlibm/e_log10.c
+
+file fdlibm/e_pow.c
+
+file fdlibm/e_rem_pio2.c
+
+file fdlibm/e_remainder.c
+
+file fdlibm/e_scalb.c
+
+file fdlibm/e_sinh.c
+
+file fdlibm/e_sqrt.c
+
+file fdlibm/k_cos.c
+
+file fdlibm/k_rem_pio2.c
+
+file fdlibm/k_sin.c
+
+file fdlibm/k_standard.c
+
+file fdlibm/k_tan.c
+
+file fdlibm/makefile
+
+file fdlibm/s_asinh.c
+
+file fdlibm/s_atan.c
+
+file fdlibm/s_cbrt.c
+
+file fdlibm/s_ceil.c
+
+file fdlibm/s_copysign.c
+
+file fdlibm/s_cos.c
+
+file fdlibm/s_erf.c
+
+file fdlibm/s_expm1.c
+
+file fdlibm/s_fabs.c
+
+file fdlibm/s_finite.c
+
+file fdlibm/s_floor.c
+
+file fdlibm/s_frexp.c
+
+file fdlibm/s_ilogb.c
+
+file fdlibm/s_isnan.c
+
+file fdlibm/s_ldexp.c
+
+file fdlibm/s_lib_version.c
+
+file fdlibm/s_log1p.c
+
+file fdlibm/s_logb.c
+
+file fdlibm/s_matherr.c
+
+file fdlibm/s_modf.c
+
+file fdlibm/s_nextafter.c
+
+file fdlibm/s_rint.c
+
+file fdlibm/s_scalbn.c
+
+file fdlibm/s_signgam.c
+
+file fdlibm/s_significand.c
+
+file fdlibm/s_sin.c
+
+file fdlibm/s_tan.c
+
+file fdlibm/s_tanh.c
+
+file fdlibm/w_acos.c
+
+file fdlibm/w_acosh.c
+
+file fdlibm/w_asin.c
+
+file fdlibm/w_atan2.c
+
+file fdlibm/w_atanh.c
+
+file fdlibm/w_cosh.c
+
+file fdlibm/w_exp.c
+
+file fdlibm/w_fmod.c
+
+file fdlibm/w_gamma.c
+
+file fdlibm/w_gamma_r.c
+
+file fdlibm/w_hypot.c
+
+file fdlibm/w_j0.c
+
+file fdlibm/w_j1.c
+
+file fdlibm/w_jn.c
+
+file fdlibm/w_lgamma.c
+
+file fdlibm/w_lgamma_r.c
+
+file fdlibm/w_log.c
+
+file fdlibm/w_log10.c
+
+file fdlibm/w_pow.c
+
+file fdlibm/w_remainder.c
+
+file fdlibm/w_scalb.c
+
+file fdlibm/w_sinh.c
+
+file fdlibm/w_sqrt.c
+
+file fdlibm/readme
+
diff --git a/index.html b/index.html
new file mode 100644
index 0000000..d84410e
--- /dev/null
+++ b/index.html
@@ -0,0 +1,180 @@
+<head>
+<title>fdlibm</title>
+<meta name="waisindex" value="nse">
+</head>
+<h1>fdlibm</h1>
+<p>
+Click <A HREF="http://www.netlib.org/master_counts2.html#fdlibm">here</A> to see the number of accesses to this library.
+<p><hr>
+<pre>
+file <a href="fdlibm.h">fdlibm.h</a>
+
+file <a href="index">index</a>
+
+file <a href="e_acos.c">e_acos.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_acos.c">e_acos.c plus dependencies</a>
+
+file <a href="e_acosh.c">e_acosh.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_acosh.c">e_acosh.c plus dependencies</a>
+
+file <a href="e_asin.c">e_asin.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_asin.c">e_asin.c plus dependencies</a>
+
+file <a href="e_atan2.c">e_atan2.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_atan2.c">e_atan2.c plus dependencies</a>
+
+file <a href="e_atanh.c">e_atanh.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_atanh.c">e_atanh.c plus dependencies</a>
+
+file <a href="e_cosh.c">e_cosh.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_cosh.c">e_cosh.c plus dependencies</a>
+
+file <a href="e_exp.c">e_exp.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_exp.c">e_exp.c plus dependencies</a>
+
+file <a href="e_fmod.c">e_fmod.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_fmod.c">e_fmod.c plus dependencies</a>
+
+file <a href="e_gamma.c">e_gamma.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_gamma.c">e_gamma.c plus dependencies</a>
+
+file <a href="e_gamma_r.c">e_gamma_r.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_gamma_r.c">e_gamma_r.c plus dependencies</a>
+
+file <a href="e_hypot.c">e_hypot.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_hypot.c">e_hypot.c plus dependencies</a>
+
+file <a href="e_j0.c">e_j0.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_j0.c">e_j0.c plus dependencies</a>
+
+file <a href="e_j1.c">e_j1.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_j1.c">e_j1.c plus dependencies</a>
+
+file <a href="e_jn.c">e_jn.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_jn.c">e_jn.c plus dependencies</a>
+
+file <a href="e_lgamma.c">e_lgamma.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_lgamma.c">e_lgamma.c plus dependencies</a>
+
+file <a href="e_lgamma_r.c">e_lgamma_r.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_lgamma_r.c">e_lgamma_r.c plus dependencies</a>
+
+file <a href="e_log.c">e_log.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_log.c">e_log.c plus dependencies</a>
+
+file <a href="e_log10.c">e_log10.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_log10.c">e_log10.c plus dependencies</a>
+
+file <a href="e_pow.c">e_pow.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_pow.c">e_pow.c plus dependencies</a>
+
+file <a href="e_rem_pio2.c">e_rem_pio2.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_rem_pio2.c">e_rem_pio2.c plus dependencies</a>
+
+file <a href="e_remainder.c">e_remainder.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_remainder.c">e_remainder.c plus dependencies</a>
+
+file <a href="e_scalb.c">e_scalb.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_scalb.c">e_scalb.c plus dependencies</a>
+
+file <a href="e_sinh.c">e_sinh.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_sinh.c">e_sinh.c plus dependencies</a>
+
+file <a href="e_sqrt.c">e_sqrt.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/e_sqrt.c">e_sqrt.c plus dependencies</a>
+
+file <a href="k_cos.c">k_cos.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/k_cos.c">k_cos.c plus dependencies</a>
+
+file <a href="k_rem_pio2.c">k_rem_pio2.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/k_rem_pio2.c">k_rem_pio2.c plus dependencies</a>
+
+file <a href="k_sin.c">k_sin.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/k_sin.c">k_sin.c plus dependencies</a>
+
+file <a href="k_standard.c">k_standard.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/k_standard.c">k_standard.c plus dependencies</a>
+
+file <a href="k_tan.c">k_tan.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/k_tan.c">k_tan.c plus dependencies</a>
+
+file <a href="makefile">makefile</a>
+
+file <a href="s_asinh.c">s_asinh.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_asinh.c">s_asinh.c plus dependencies</a>
+
+file <a href="s_atan.c">s_atan.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_atan.c">s_atan.c plus dependencies</a>
+
+file <a href="s_cbrt.c">s_cbrt.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_cbrt.c">s_cbrt.c plus dependencies</a>
+
+file <a href="s_ceil.c">s_ceil.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_ceil.c">s_ceil.c plus dependencies</a>
+
+file <a href="s_copysign.c">s_copysign.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_copysign.c">s_copysign.c plus dependencies</a>
+
+file <a href="s_cos.c">s_cos.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_cos.c">s_cos.c plus dependencies</a>
+
+file <a href="s_erf.c">s_erf.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_erf.c">s_erf.c plus dependencies</a>
+
+file <a href="s_expm1.c">s_expm1.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_expm1.c">s_expm1.c plus dependencies</a>
+
+file <a href="s_fabs.c">s_fabs.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_fabs.c">s_fabs.c plus dependencies</a>
+
+file <a href="s_finite.c">s_finite.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_finite.c">s_finite.c plus dependencies</a>
+
+file <a href="s_floor.c">s_floor.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_floor.c">s_floor.c plus dependencies</a>
+
+file <a href="s_frexp.c">s_frexp.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_frexp.c">s_frexp.c plus dependencies</a>
+
+file <a href="s_ilogb.c">s_ilogb.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_ilogb.c">s_ilogb.c plus dependencies</a>
+
+file <a href="s_isnan.c">s_isnan.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_isnan.c">s_isnan.c plus dependencies</a>
+
+file <a href="s_ldexp.c">s_ldexp.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_ldexp.c">s_ldexp.c plus dependencies</a>
+
+file <a href="s_lib_version.c">s_lib_version.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_lib_version.c">s_lib_version.c plus dependencies</a>
+
+file <a href="s_log1p.c">s_log1p.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_log1p.c">s_log1p.c plus dependencies</a>
+
+file <a href="s_logb.c">s_logb.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_logb.c">s_logb.c plus dependencies</a>
+
+file <a href="s_matherr.c">s_matherr.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_matherr.c">s_matherr.c plus dependencies</a>
+
+file <a href="s_modf.c">s_modf.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_modf.c">s_modf.c plus dependencies</a>
+
+file <a href="s_nextafter.c">s_nextafter.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_nextafter.c">s_nextafter.c plus dependencies</a>
+
+file <a href="s_rint.c">s_rint.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_rint.c">s_rint.c plus dependencies</a>
+
+file <a href="s_scalbn.c">s_scalbn.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_scalbn.c">s_scalbn.c plus dependencies</a>
+
+file <a href="s_signgam.c">s_signgam.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_signgam.c">s_signgam.c plus dependencies</a>
+
+file <a href="s_significand.c">s_significand.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_significand.c">s_significand.c plus dependencies</a>
+
+file <a href="s_sin.c">s_sin.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_sin.c">s_sin.c plus dependencies</a>
+
+file <a href="s_tan.c">s_tan.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_tan.c">s_tan.c plus dependencies</a>
+
+file <a href="s_tanh.c">s_tanh.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/s_tanh.c">s_tanh.c plus dependencies</a>
+
+file <a href="w_acos.c">w_acos.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_acos.c">w_acos.c plus dependencies</a>
+
+file <a href="w_acosh.c">w_acosh.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_acosh.c">w_acosh.c plus dependencies</a>
+
+file <a href="w_asin.c">w_asin.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_asin.c">w_asin.c plus dependencies</a>
+
+file <a href="w_atan2.c">w_atan2.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_atan2.c">w_atan2.c plus dependencies</a>
+
+file <a href="w_atanh.c">w_atanh.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_atanh.c">w_atanh.c plus dependencies</a>
+
+file <a href="w_cosh.c">w_cosh.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_cosh.c">w_cosh.c plus dependencies</a>
+
+file <a href="w_exp.c">w_exp.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_exp.c">w_exp.c plus dependencies</a>
+
+file <a href="w_fmod.c">w_fmod.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_fmod.c">w_fmod.c plus dependencies</a>
+
+file <a href="w_gamma.c">w_gamma.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_gamma.c">w_gamma.c plus dependencies</a>
+
+file <a href="w_gamma_r.c">w_gamma_r.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_gamma_r.c">w_gamma_r.c plus dependencies</a>
+
+file <a href="w_hypot.c">w_hypot.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_hypot.c">w_hypot.c plus dependencies</a>
+
+file <a href="w_j0.c">w_j0.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_j0.c">w_j0.c plus dependencies</a>
+
+file <a href="w_j1.c">w_j1.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_j1.c">w_j1.c plus dependencies</a>
+
+file <a href="w_jn.c">w_jn.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_jn.c">w_jn.c plus dependencies</a>
+
+file <a href="w_lgamma.c">w_lgamma.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_lgamma.c">w_lgamma.c plus dependencies</a>
+
+file <a href="w_lgamma_r.c">w_lgamma_r.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_lgamma_r.c">w_lgamma_r.c plus dependencies</a>
+
+file <a href="w_log.c">w_log.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_log.c">w_log.c plus dependencies</a>
+
+file <a href="w_log10.c">w_log10.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_log10.c">w_log10.c plus dependencies</a>
+
+file <a href="w_pow.c">w_pow.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_pow.c">w_pow.c plus dependencies</a>
+
+file <a href="w_remainder.c">w_remainder.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_remainder.c">w_remainder.c plus dependencies</a>
+
+file <a href="w_scalb.c">w_scalb.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_scalb.c">w_scalb.c plus dependencies</a>
+
+file <a href="w_sinh.c">w_sinh.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_sinh.c">w_sinh.c plus dependencies</a>
+
+file <a href="w_sqrt.c">w_sqrt.c</a> <a href="/cgi-bin/netlibfiles.pl?filename=/fdlibm/w_sqrt.c">w_sqrt.c plus dependencies</a>
+
+file <a href="readme">readme</a>
+
+</pre>
+</body>
+</html>
diff --git a/k_cos.c b/k_cos.c
new file mode 100644
index 0000000..2e70850
--- /dev/null
+++ b/k_cos.c
@@ -0,0 +1,92 @@
+
+/* @(#)k_cos.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * __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 ieee_cos(-x) = ieee_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. ieee_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
+ * |ieee_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
+ * ieee_cos(x) = 1 - x*x/2 + r
+ * since ieee_cos(x+y) ~ ieee_cos(x) - ieee_sin(x)*y
+ * ~ ieee_cos(x) - x*y,
+ * a correction term is necessary in ieee_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 "fdlibm.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;
+ int ix;
+ ix = __HI(x)&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 {
+ __HI(qx) = ix-0x00200000; /* x/4 */
+ __LO(qx) = 0;
+ }
+ hz = 0.5*z-qx;
+ a = one-qx;
+ return a - (hz - (z*r-x*y));
+ }
+}
diff --git a/k_rem_pio2.c b/k_rem_pio2.c
new file mode 100644
index 0000000..3938005
--- /dev/null
+++ b/k_rem_pio2.c
@@ -0,0 +1,316 @@
+
+/* @(#)k_rem_pio2.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * __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 = ieee_ilogb(z)-23
+ * z = ieee_scalbn(z,-e0)
+ * for i = 0,1,2
+ * x[i] = ieee_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 ieee_scalbn(), ieee_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 "fdlibm.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 int *ipio2)
+#else
+ int __kernel_rem_pio2(x,y,e0,nx,prec,ipio2)
+ double x[], y[]; int e0,nx,prec; int ipio2[];
+#endif
+{
+ int 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)((int)(twon24* z));
+ iq[i] = (int)(z-two24*fw);
+ z = q[j-1]+fw;
+ }
+
+ /* compute n */
+ z = ieee_scalbn(z,q0); /* actual value of z */
+ z -= 8.0*ieee_floor(z*0.125); /* trim off integer >= 8 */
+ n = (int) 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 -= ieee_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 = ieee_scalbn(z,-q0);
+ if(z>=two24) {
+ fw = (double)((int)(twon24*z));
+ iq[jz] = (int)(z-two24*fw);
+ jz += 1; q0 += 24;
+ iq[jz] = (int) fw;
+ } else iq[jz] = (int) z ;
+ }
+
+ /* convert integer "bit" chunk to floating-point value */
+ fw = ieee_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/k_sin.c b/k_sin.c
new file mode 100644
index 0000000..3138e4f
--- /dev/null
+++ b/k_sin.c
@@ -0,0 +1,74 @@
+
+/* @(#)k_sin.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __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 ieee_sin(-x) = -ieee_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. ieee_sin(x) is approximated by a polynomial of degree 13 on
+ * [0,pi/4]
+ * 3 13
+ * sin(x) ~ x + S1*x + ... + S6*x
+ * where
+ *
+ * |ieee_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. ieee_sin(x+y) = ieee_sin(x) + sin'(x')*y
+ * ~ ieee_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 "fdlibm.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;
+ int ix;
+ ix = __HI(x)&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/k_standard.c b/k_standard.c
new file mode 100644
index 0000000..fb13464
--- /dev/null
+++ b/k_standard.c
@@ -0,0 +1,733 @@
+
+/* @(#)k_standard.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#include "fdlibm.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) */
+
+static double zero = 0.0; /* used as const */
+
+/*
+ * Standard conformance (non-IEEE) on exception cases.
+ * Mapping:
+ * 1 -- ieee_acos(|x|>1)
+ * 2 -- ieee_asin(|x|>1)
+ * 3 -- ieee_atan2(+-0,+-0)
+ * 4 -- hypot overflow
+ * 5 -- cosh overflow
+ * 6 -- exp overflow
+ * 7 -- exp underflow
+ * 8 -- ieee_y0(0)
+ * 9 -- ieee_y0(-ve)
+ * 10-- ieee_y1(0)
+ * 11-- ieee_y1(-ve)
+ * 12-- ieee_yn(0)
+ * 13-- ieee_yn(-ve)
+ * 14-- ieee_lgamma(finite) overflow
+ * 15-- ieee_lgamma(-integer)
+ * 16-- ieee_log(0)
+ * 17-- ieee_log(x<0)
+ * 18-- ieee_log10(0)
+ * 19-- ieee_log10(x<0)
+ * 20-- ieee_pow(0.0,0.0)
+ * 21-- ieee_pow(x,y) overflow
+ * 22-- ieee_pow(x,y) underflow
+ * 23-- ieee_pow(0,negative)
+ * 24-- ieee_pow(neg,non-integral)
+ * 25-- ieee_sinh(finite) overflow
+ * 26-- ieee_sqrt(negative)
+ * 27-- ieee_fmod(x,0)
+ * 28-- ieee_remainder(x,0)
+ * 29-- acosh(x<1)
+ * 30-- atanh(|x|>1)
+ * 31-- atanh(|x|=1)
+ * 32-- scalb overflow
+ * 33-- scalb underflow
+ * 34-- ieee_j0(|x|>X_TLOSS)
+ * 35-- ieee_y0(x>X_TLOSS)
+ * 36-- ieee_j1(|x|>X_TLOSS)
+ * 37-- ieee_y1(x>X_TLOSS)
+ * 38-- ieee_jn(|x|>X_TLOSS, n)
+ * 39-- ieee_yn(x>X_TLOSS, n)
+ * 40-- ieee_gamma(finite) overflow
+ * 41-- ieee_gamma(-integer)
+ * 42-- ieee_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;
+
+ __HI(inf) = 0x7ff00000; /* set inf to infinite */
+#endif
+
+#ifdef _USE_WRITE
+ (void) fflush(stdout);
+#endif
+ exc.arg1 = x;
+ exc.arg2 = y;
+ switch(type) {
+ case 1:
+ /* ieee_acos(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = "acos";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if(_LIB_VERSION == _SVID_) {
+ (void) WRITE2("acos: DOMAIN error\n", 19);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 2:
+ /* ieee_asin(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = "asin";
+ exc.retval = zero;
+ if(_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if(_LIB_VERSION == _SVID_) {
+ (void) WRITE2("asin: DOMAIN error\n", 19);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 3:
+ /* ieee_atan2(+-0,+-0) */
+ exc.arg1 = y;
+ exc.arg2 = x;
+ exc.type = DOMAIN;
+ exc.name = "atan2";
+ exc.retval = zero;
+ if(_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if(_LIB_VERSION == _SVID_) {
+ (void) WRITE2("atan2: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 4:
+ /* ieee_hypot(finite,finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = "hypot";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 5:
+ /* ieee_cosh(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = "cosh";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 6:
+ /* ieee_exp(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = "exp";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 7:
+ /* ieee_exp(finite) underflow */
+ exc.type = UNDERFLOW;
+ exc.name = "exp";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 8:
+ /* ieee_y0(0) = -inf */
+ exc.type = DOMAIN; /* should be SING for IEEE */
+ exc.name = "y0";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y0: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 9:
+ /* ieee_y0(x<0) = NaN */
+ exc.type = DOMAIN;
+ exc.name = "y0";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y0: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 10:
+ /* ieee_y1(0) = -inf */
+ exc.type = DOMAIN; /* should be SING for IEEE */
+ exc.name = "y1";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y1: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 11:
+ /* ieee_y1(x<0) = NaN */
+ exc.type = DOMAIN;
+ exc.name = "y1";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("y1: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 12:
+ /* ieee_yn(n,0) = -inf */
+ exc.type = DOMAIN; /* should be SING for IEEE */
+ exc.name = "yn";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("yn: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 13:
+ /* ieee_yn(x<0) = NaN */
+ exc.type = DOMAIN;
+ exc.name = "yn";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("yn: DOMAIN error\n", 17);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 14:
+ /* ieee_lgamma(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = "lgamma";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 15:
+ /* ieee_lgamma(-integer) or ieee_lgamma(0) */
+ exc.type = SING;
+ exc.name = "lgamma";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("lgamma: SING error\n", 19);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 16:
+ /* ieee_log(0) */
+ exc.type = SING;
+ exc.name = "log";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log: SING error\n", 16);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 17:
+ /* ieee_log(x<0) */
+ exc.type = DOMAIN;
+ exc.name = "log";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log: DOMAIN error\n", 18);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 18:
+ /* ieee_log10(0) */
+ exc.type = SING;
+ exc.name = "log10";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log10: SING error\n", 18);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 19:
+ /* ieee_log10(x<0) */
+ exc.type = DOMAIN;
+ exc.name = "log10";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = -HUGE;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("log10: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 20:
+ /* ieee_pow(0.0,0.0) */
+ /* error only if _LIB_VERSION == _SVID_ */
+ exc.type = DOMAIN;
+ exc.name = "pow";
+ exc.retval = zero;
+ if (_LIB_VERSION != _SVID_) exc.retval = 1.0;
+ else if (!ieee_matherr(&exc)) {
+ (void) WRITE2("pow(0,0): DOMAIN error\n", 23);
+ errno = EDOM;
+ }
+ break;
+ case 21:
+ /* ieee_pow(x,y) overflow */
+ exc.type = OVERFLOW;
+ exc.name = "pow";
+ if (_LIB_VERSION == _SVID_) {
+ exc.retval = HUGE;
+ y *= 0.5;
+ if(x<zero&&ieee_rint(y)!=y) exc.retval = -HUGE;
+ } else {
+ exc.retval = HUGE_VAL;
+ y *= 0.5;
+ if(x<zero&&ieee_rint(y)!=y) exc.retval = -HUGE_VAL;
+ }
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 22:
+ /* ieee_pow(x,y) underflow */
+ exc.type = UNDERFLOW;
+ exc.name = "pow";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 23:
+ /* 0**neg */
+ exc.type = DOMAIN;
+ exc.name = "pow";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = zero;
+ else
+ exc.retval = -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("pow(0,neg): DOMAIN error\n", 25);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 24:
+ /* neg**non-integral */
+ exc.type = DOMAIN;
+ exc.name = "pow";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = zero;
+ else
+ exc.retval = zero/zero; /* X/Open allow NaN */
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("neg**non-integral: DOMAIN error\n", 32);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 25:
+ /* ieee_sinh(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = "sinh";
+ 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 (!ieee_matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 26:
+ /* ieee_sqrt(x<0) */
+ exc.type = DOMAIN;
+ exc.name = "sqrt";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = zero;
+ else
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("sqrt: DOMAIN error\n", 19);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 27:
+ /* ieee_fmod(x,0) */
+ exc.type = DOMAIN;
+ exc.name = "fmod";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = x;
+ else
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("fmod: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 28:
+ /* ieee_remainder(x,0) */
+ exc.type = DOMAIN;
+ exc.name = "remainder";
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("remainder: DOMAIN error\n", 24);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 29:
+ /* acosh(x<1) */
+ exc.type = DOMAIN;
+ exc.name = "acosh";
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("acosh: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 30:
+ /* atanh(|x|>1) */
+ exc.type = DOMAIN;
+ exc.name = "atanh";
+ exc.retval = zero/zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("atanh: DOMAIN error\n", 20);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 31:
+ /* atanh(|x|=1) */
+ exc.type = SING;
+ exc.name = "atanh";
+ exc.retval = x/zero; /* sign(x)*inf */
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("atanh: SING error\n", 18);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 32:
+ /* scalb overflow; SVID also returns +-HUGE_VAL */
+ exc.type = OVERFLOW;
+ exc.name = "scalb";
+ exc.retval = x > zero ? HUGE_VAL : -HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 33:
+ /* scalb underflow */
+ exc.type = UNDERFLOW;
+ exc.name = "scalb";
+ exc.retval = ieee_copysign(zero,x);
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 34:
+ /* ieee_j0(|x|>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = "j0";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 35:
+ /* ieee_y0(x>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = "y0";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 36:
+ /* ieee_j1(|x|>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = "j1";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 37:
+ /* ieee_y1(x>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = "y1";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 38:
+ /* ieee_jn(|x|>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = "jn";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 39:
+ /* ieee_yn(x>X_TLOSS) */
+ exc.type = TLOSS;
+ exc.name = "yn";
+ exc.retval = zero;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2(exc.name, 2);
+ (void) WRITE2(": TLOSS error\n", 14);
+ }
+ errno = ERANGE;
+ }
+ break;
+ case 40:
+ /* ieee_gamma(finite) overflow */
+ exc.type = OVERFLOW;
+ exc.name = "gamma";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = ERANGE;
+ else if (!ieee_matherr(&exc)) {
+ errno = ERANGE;
+ }
+ break;
+ case 41:
+ /* ieee_gamma(-integer) or ieee_gamma(0) */
+ exc.type = SING;
+ exc.name = "gamma";
+ if (_LIB_VERSION == _SVID_)
+ exc.retval = HUGE;
+ else
+ exc.retval = HUGE_VAL;
+ if (_LIB_VERSION == _POSIX_)
+ errno = EDOM;
+ else if (!ieee_matherr(&exc)) {
+ if (_LIB_VERSION == _SVID_) {
+ (void) WRITE2("gamma: SING error\n", 18);
+ }
+ errno = EDOM;
+ }
+ break;
+ case 42:
+ /* ieee_pow(NaN,0.0) */
+ /* error only if _LIB_VERSION == _SVID_ & _XOPEN_ */
+ exc.type = DOMAIN;
+ exc.name = "pow";
+ exc.retval = x;
+ if (_LIB_VERSION == _IEEE_ ||
+ _LIB_VERSION == _POSIX_) exc.retval = 1.0;
+ else if (!ieee_matherr(&exc)) {
+ errno = EDOM;
+ }
+ break;
+ }
+ return exc.retval;
+}
diff --git a/k_tan.c b/k_tan.c
new file mode 100644
index 0000000..d789a40
--- /dev/null
+++ b/k_tan.c
@@ -0,0 +1,148 @@
+#pragma ident "@(#)k_tan.c 1.5 04/04/22 SMI"
+
+/*
+ * ====================================================
+ * Copyright 2004 Sun Microsystems, Inc. All Rights Reserved.
+ *
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* INDENT OFF */
+/* __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 ieee_tan (if k = 1) or -1/tan (if k = -1) is returned.
+ *
+ * Algorithm
+ * 1. Since ieee_tan(-x) = -ieee_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. ieee_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
+ *
+ * |ieee_tan(x) 2 4 26 | -59.2
+ * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2
+ * | x |
+ *
+ * Note: ieee_tan(x+y) = ieee_tan(x) + tan'(x)*y
+ * ~ ieee_tan(x) + (1+x*x)*y
+ * Therefore, for better accuracy in computing ieee_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) = ieee_tan(pi/4-y) = (1-ieee_tan(y))/(1+ieee_tan(y))
+ * = 1 - 2*(ieee_tan(y) - (ieee_tan(y)^2)/(1+ieee_tan(y)))
+ */
+
+#include "fdlibm.h"
+
+static const double xxx[] = {
+ 3.33333333333334091986e-01, /* 3FD55555, 55555563 */
+ 1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */
+ 5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */
+ 2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */
+ 8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */
+ 3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */
+ 1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */
+ 5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */
+ 2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */
+ 7.81794442939557092300e-05, /* 3F147E88, A03792A6 */
+ 7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */
+ -1.85586374855275456654e-05, /* BEF375CB, DB605373 */
+ 2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */
+/* one */ 1.00000000000000000000e+00, /* 3FF00000, 00000000 */
+/* pio4 */ 7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */
+/* pio4lo */ 3.06161699786838301793e-17 /* 3C81A626, 33145C07 */
+};
+#define one xxx[13]
+#define pio4 xxx[14]
+#define pio4lo xxx[15]
+#define T xxx
+/* INDENT ON */
+
+double
+__kernel_tan(double x, double y, int iy) {
+ double z, r, v, w, s;
+ int ix, hx;
+
+ hx = __HI(x); /* high word of x */
+ ix = hx & 0x7fffffff; /* high word of |x| */
+ if (ix < 0x3e300000) { /* x < 2**-28 */
+ if ((int) x == 0) { /* generate inexact */
+ if (((ix | __LO(x)) | (iy + 1)) == 0)
+ return one / ieee_fabs(x);
+ else {
+ if (iy == 1)
+ return x;
+ else { /* compute -1 / (x+y) carefully */
+ double a, t;
+
+ z = w = x + y;
+ __LO(z) = 0;
+ v = y - (z - x);
+ t = a = -one / w;
+ __LO(t) = 0;
+ s = one + t * z;
+ return t + a * (s + t * v);
+ }
+ }
+ }
+ }
+ 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;
+ __LO(z) = 0;
+ v = r - (z - x); /* z+v = r+x */
+ t = a = -1.0 / w; /* a = -1.0/w */
+ __LO(t) = 0;
+ s = 1.0 + t * z;
+ return t + a * (s + t * v);
+ }
+}
diff --git a/makefile.in b/makefile.in
new file mode 100644
index 0000000..b125beb
--- /dev/null
+++ b/makefile.in
@@ -0,0 +1,154 @@
+#
+# @(#)Makefile 1.4 95/01/18
+#
+# ====================================================
+# Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+#
+# Developed at SunSoft, a Sun Microsystems, Inc. business.
+# Permission to use, copy, modify, and distribute this
+# software is freely granted, provided that this notice
+# is preserved.
+# ====================================================
+#
+#
+
+#
+# There are two options in making libm at fdlibm compile time:
+# _IEEE_LIBM --- IEEE libm; smaller, and somewhat faster
+# _MULTI_LIBM --- Support multi-standard at runtime by
+# imposing wrapper functions defined in
+# fdlibm.h:
+# _IEEE_MODE -- IEEE
+# _XOPEN_MODE -- X/OPEN
+# _POSIX_MODE -- POSIX/ANSI
+# _SVID3_MODE -- SVID
+#
+# Here is how to set up CFLAGS to create the desired libm at
+# compile time:
+#
+# CFLAGS = -D_IEEE_LIBM ... IEEE libm (recommended)
+# CFLAGS = -D_SVID3_MODE ... Multi-standard supported
+# libm with SVID as the
+# default standard
+# CFLAGS = -D_XOPEN_MODE ... Multi-standard supported
+# libm with XOPEN as the
+# default standard
+# CFLAGS = -D_POSIX_MODE ... Multi-standard supported
+# libm with POSIX as the
+# default standard
+# CFLAGS = ... Multi-standard supported
+# libm with IEEE as the
+# default standard
+#
+# NOTE: if scalb's second arguement is an int, then one must
+# define _SCALB_INT in CFLAGS. The default prototype of scalb
+# is double ieee_scalb(double, double)
+#
+
+prefix = @prefix@
+
+AR = @AR@
+
+CC = @CC@
+
+#
+# Default IEEE libm
+#
+CFLAGS = @CFLAGS@ -D_IEEE_LIBM
+
+CHMOD = @CHMOD@
+
+CP = @CP@
+
+INCFILES = fdlibm.h
+
+LDFLAGS = @LDFLAGS@
+
+LIB = libfdm.a
+
+LIBS = @LIBS@
+
+RANLIB = @RANLIB@
+
+RM = @RM@ -f
+
+.INIT: $(INCFILES)
+
+.KEEP_STATE:
+
+src = k_standard.c k_rem_pio2.c \
+ k_cos.c k_sin.c k_tan.c \
+ e_acos.c e_acosh.c e_asin.c e_atan2.c \
+ e_atanh.c e_cosh.c e_exp.c e_fmod.c \
+ e_gamma.c e_gamma_r.c e_hypot.c e_j0.c \
+ e_j1.c e_jn.c e_lgamma.c e_lgamma_r.c \
+ e_log.c e_log10.c e_pow.c e_rem_pio2.c e_remainder.c \
+ e_scalb.c e_sinh.c e_sqrt.c \
+ w_acos.c w_acosh.c w_asin.c w_atan2.c \
+ w_atanh.c w_cosh.c w_exp.c w_fmod.c \
+ w_gamma.c w_gamma_r.c w_hypot.c w_j0.c \
+ w_j1.c w_jn.c w_lgamma.c w_lgamma_r.c \
+ w_log.c w_log10.c w_pow.c w_remainder.c \
+ w_scalb.c w_sinh.c w_sqrt.c \
+ s_asinh.c s_atan.c s_cbrt.c s_ceil.c s_copysign.c \
+ s_cos.c s_erf.c s_expm1.c s_fabs.c s_finite.c s_floor.c \
+ s_frexp.c s_ilogb.c s_isnan.c s_ldexp.c s_lib_version.c \
+ s_log1p.c s_logb.c s_matherr.c s_modf.c s_nextafter.c \
+ s_rint.c s_scalbn.c s_signgam.c s_significand.c s_sin.c \
+ s_tan.c s_tanh.c
+
+obj = k_standard.o k_rem_pio2.o \
+ k_cos.o k_sin.o k_tan.o \
+ e_acos.o e_acosh.o e_asin.o e_atan2.o \
+ e_atanh.o e_cosh.o e_exp.o e_fmod.o \
+ e_gamma.o e_gamma_r.o e_hypot.o e_j0.o \
+ e_j1.o e_jn.o e_lgamma.o e_lgamma_r.o \
+ e_log.o e_log10.o e_pow.o e_rem_pio2.o e_remainder.o \
+ e_scalb.o e_sinh.o e_sqrt.o \
+ w_acos.o w_acosh.o w_asin.o w_atan2.o \
+ w_atanh.o w_cosh.o w_exp.o w_fmod.o \
+ w_gamma.o w_gamma_r.o w_hypot.o w_j0.o \
+ w_j1.o w_jn.o w_lgamma.o w_lgamma_r.o \
+ w_log.o w_log10.o w_pow.o w_remainder.o \
+ w_scalb.o w_sinh.o w_sqrt.o \
+ s_asinh.o s_atan.o s_cbrt.o s_ceil.o s_copysign.o \
+ s_cos.o s_erf.o s_expm1.o s_fabs.o s_finite.o s_floor.o \
+ s_frexp.o s_ilogb.o s_isnan.o s_ldexp.o s_lib_version.o \
+ s_log1p.o s_logb.o s_matherr.o s_modf.o s_nextafter.o \
+ s_rint.o s_scalbn.o s_signgam.o s_significand.o s_sin.o \
+ s_tan.o s_tanh.o
+
+all: $(LIB)
+
+check:
+ @echo This package does not have a validation suite.
+
+clean:
+ -$(RM) *~ #* core a.out
+
+distclean: mostlyclean
+ -$(RM) $(LIB)
+ -$(RM) -r autom4te.cache/
+ -$(RM) config.cache config.log config.status Makefile
+
+install: $(LIB) uninstall
+ $(CP) $(LIB) $(prefix)/lib/$(LIB)
+ $(CHMOD) 664 $(prefix)/lib/$(LIB)
+ $(RANLIB) $(prefix)/lib/$(LIB) || true
+
+$(LIB) : $(obj)
+ $(AR) cru $(LIB) $(obj)
+ $(RANLIB) $(LIB) || true
+
+maintainer-clean: distclean
+ @echo "This command is intended for maintainers to use;"
+ @echo "it deletes files that may require special tools to rebuild."
+ -$(RM) configure
+
+mostlyclean: clean
+ -$(RM) $(obj)
+
+source: $(src) README
+
+uninstall:
+ -$(RM) $(prefix)/lib/$(LIB)
diff --git a/readme b/readme
new file mode 100644
index 0000000..a0d5623
--- /dev/null
+++ b/readme
@@ -0,0 +1,261 @@
+
+ *********************************
+ * Announcing FDLIBM Version 5.3 *
+ *********************************
+============================================================
+ FDLIBM
+============================================================
+ developed at Sun Microsystems, Inc.
+
+What's new in FDLIBM 5.3?
+
+CONFIGURE
+ To build FDLIBM, edit the supplied Makefile or create
+ a local Makefile by running "sh configure"
+ using the supplied configure script contributed by Nelson Beebe
+
+BUGS FIXED
+
+ 1. e_pow.c incorrect results when
+ x is very close to -1.0 and y is very large, e.g.
+ pow(-1.0000000000000002e+00,4.5035996273704970e+15) = 0
+ pow(-9.9999999999999978e-01,4.5035996273704970e+15) = 0
+ Correct results are close to -e and -1/e.
+
+ 2. k_tan.c error was > 1 ulp target for FDLIBM
+ 5.2: Worst error at least 1.45 ulp at
+ tan(1.7765241907548024E+269) = 1.7733884462610958E+16
+ 5.3: Worst error 0.96 ulp
+
+NOT FIXED YET
+
+ 3. Compiler failure on non-standard code
+ Statements like
+ *(1+(int*)&t1) = 0;
+ are not standard C and cause some optimizing compilers (e.g. GCC)
+ to generate bad code under optimization. These cases
+ are to be addressed in the next release.
+
+FDLIBM (Freely Distributable LIBM) is a C math library
+for machines that support IEEE 754 floating-point arithmetic.
+In this release, only double precision is supported.
+
+FDLIBM is intended to provide a reasonably portable (see
+assumptions below), reference quality (below one ulp for
+major functions like sin,cos,exp,log) math library
+(libm.a). For a copy of FDLIBM, please see
+ http://www.netlib.org/fdlibm/
+or
+ http://www.validlab.com/software/
+
+--------------
+1. ASSUMPTIONS
+--------------
+FDLIBM (double precision version) assumes:
+ a. IEEE 754 style (if not precise compliance) arithmetic;
+ b. 32 bit 2's complement integer arithmetic;
+ c. Each double precision floating-point number must be in IEEE 754
+ double format, and that each number can be retrieved as two 32-bit
+ integers through the using of pointer bashing as in the example
+ below:
+
+ Example: let y = 2.0
+ double fp number y: 2.0
+ IEEE double format: 0x4000000000000000
+
+ Referencing y as two integers:
+ *(int*)&y,*(1+(int*)&y) = {0x40000000,0x0} (on sparc)
+ {0x0,0x40000000} (on 386)
+
+ Note: Four macros are defined in fdlibm.h to handle this kind of
+ retrieving:
+
+ __HI(x) the high part of a double x
+ (sign,exponent,the first 21 significant bits)
+ __LO(x) the least 32 significant bits of x
+ __HIp(x) same as __HI except that the argument is a pointer
+ to a double
+ __LOp(x) same as __LO except that the argument is a pointer
+ to a double
+
+ To ensure obtaining correct ordering, one must define __LITTLE_ENDIAN
+ during compilation for little endian machine (like 386,486). The
+ default is big endian.
+
+ If the behavior of pointer bashing is undefined, one may hack on the
+ macro in fdlibm.h.
+
+ d. IEEE exceptions may trigger "signals" as is common in Unix
+ implementations.
+
+-------------------
+2. EXCEPTION CASES
+-------------------
+All exception cases in the FDLIBM functions will be mapped
+to one of the following four exceptions:
+
+ +-huge*huge, +-tiny*tiny, +-1.0/0.0, +-0.0/0.0
+ (overflow) (underflow) (divided-by-zero) (invalid)
+
+For example, ieee_log(0) is a singularity and is thus mapped to
+ -1.0/0.0 = -infinity.
+That is, FDLIBM's log will compute -one/zero and return the
+computed value. On an IEEE machine, this will trigger the
+divided-by-zero exception and a negative infinity is returned by
+default.
+
+Similarly, ieee_exp(-huge) will be mapped to tiny*tiny to generate
+an underflow signal.
+
+
+--------------------------------
+3. STANDARD CONFORMANCE WRAPPER
+--------------------------------
+The default FDLIBM functions (compiled with -D_IEEE_LIBM flag)
+are in "IEEE spirit" (i.e., return the most reasonable result in
+floating-point arithmetic). If one wants FDLIBM to comply with
+standards like SVID, X/OPEN, or POSIX/ANSI, then one can
+create a multi-standard compliant FDLIBM. In this case, each
+function in FDLIBM is actually a standard compliant wrapper
+function.
+
+File organization:
+ 1. For FDLIBM's kernel (internal) function,
+ File name Entry point
+ ---------------------------
+ k_sin.c __kernel_sin
+ k_tan.c __kernel_tan
+ ---------------------------
+ 2. For functions that have no standards conflict
+ File name Entry point
+ ---------------------------
+ s_sin.c sin
+ s_erf.c erf
+ ---------------------------
+ 3. Ieee754 core functions
+ File name Entry point
+ ---------------------------
+ e_exp.c __ieee754_exp
+ e_sinh.c __ieee754_sinh
+ ---------------------------
+ 4. Wrapper functions
+ File name Entry point
+ ---------------------------
+ w_exp.c exp
+ w_sinh.c sinh
+ ---------------------------
+
+Wrapper functions will twist the result of the ieee754
+function to comply to the standard specified by the value
+of _LIB_VERSION
+ if _LIB_VERSION = _IEEE_, return the ieee754 result;
+ if _LIB_VERSION = _SVID_, return SVID result;
+ if _LIB_VERSION = _XOPEN_, return XOPEN result;
+ if _LIB_VERSION = _POSIX_, return POSIX/ANSI result.
+(These are macros, see fdlibm.h for their definition.)
+
+
+--------------------------------
+4. HOW TO CREATE FDLIBM's libm.a
+--------------------------------
+There are two types of libm.a. One is IEEE only, and the other is
+multi-standard compliant (supports IEEE,XOPEN,POSIX/ANSI,SVID).
+
+To create the IEEE only libm.a, use
+ make "CFLAGS = -D_IEEE_LIBM"
+This will create an IEEE libm.a, which is smaller in size, and
+somewhat faster.
+
+To create a multi-standard compliant libm, use
+ make "CFLAGS = -D_IEEE_MODE" --- multi-standard fdlibm: default
+ to IEEE
+ make "CFLAGS = -D_XOPEN_MODE" --- multi-standard fdlibm: default
+ to X/OPEN
+ make "CFLAGS = -D_POSIX_MODE" --- multi-standard fdlibm: default
+ to POSIX/ANSI
+ make "CFLAGS = -D_SVID3_MODE" --- multi-standard fdlibm: default
+ to SVID
+
+
+Here is how one makes a SVID compliant libm.
+ Make the library by
+ make "CFLAGS = -D_SVID3_MODE".
+ The libm.a of FDLIBM will be multi-standard compliant and
+ _LIB_VERSION is initialized to the value _SVID_ .
+
+ example1:
+ ---------
+ main()
+ {
+ double ieee_y0();
+ printf("y0(1e300) = %1.20e\n",y0(1e300));
+ exit(0);
+ }
+
+ % cc example1.c libm.a
+ % a.out
+ y0: TLOSS error
+ ieee_y0(1e300) = 0.00000000000000000000e+00
+
+
+It is possible to change the default standard in multi-standard
+fdlibm. Here is an example of how to do it:
+ example2:
+ ---------
+ #include "fdlibm.h" /* must include FDLIBM's fdlibm.h */
+ main()
+ {
+ double ieee_y0();
+ _LIB_VERSION = _IEEE_;
+ printf("IEEE: ieee_y0(1e300) = %1.20e\n",y0(1e300));
+ _LIB_VERSION = _XOPEN_;
+ printf("XOPEN ieee_y0(1e300) = %1.20e\n",y0(1e300));
+ _LIB_VERSION = _POSIX_;
+ printf("POSIX ieee_y0(1e300) = %1.20e\n",y0(1e300));
+ _LIB_VERSION = _SVID_;
+ printf("SVID ieee_y0(1e300) = %1.20e\n",y0(1e300));
+ exit(0);
+ }
+
+ % cc example2.c libm.a
+ % a.out
+ IEEE: ieee_y0(1e300) = -1.36813604503424810557e-151
+ XOPEN ieee_y0(1e300) = 0.00000000000000000000e+00
+ POSIX ieee_y0(1e300) = 0.00000000000000000000e+00
+ y0: TLOSS error
+ SVID ieee_y0(1e300) = 0.00000000000000000000e+00
+
+Note: Here _LIB_VERSION is a global variable. If global variables
+ are forbidden, then one should modify fdlibm.h to change
+ _LIB_VERSION to be a global constant. In this case, one
+ may not change the value of _LIB_VERSION as in example2.
+
+---------------------------
+5. NOTES ON PORTING FDLIBM
+---------------------------
+ Care must be taken when installing FDLIBM over existing
+ libm.a.
+ All co-existing function prototypes must agree, otherwise
+ users will encounter mysterious failures.
+
+ So far, the only known likely conflict is the declaration
+ of the IEEE recommended function scalb:
+
+ double ieee_scalb(double,double) (1) SVID3 defined
+ double ieee_scalb(double,int) (2) IBM,DEC,...
+
+ FDLIBM follows Sun definition and use (1) as default.
+ If one's existing libm.a uses (2), then one may raise
+ the flags _SCALB_INT during the compilation of FDLIBM
+ to get the correct function prototype.
+ (E.g., make "CFLAGS = -D_IEEE_LIBM -D_SCALB_INT".)
+ NOTE that if -D_SCALB_INT is raised, it won't be SVID3
+ conformant.
+
+--------------
+6. PROBLEMS ?
+--------------
+Please send comments and bug reports to the electronic mail address
+suggested by:
+ fdlibm-comments AT sun.com
+
diff --git a/s_asinh.c b/s_asinh.c
new file mode 100644
index 0000000..c1d7bf1
--- /dev/null
+++ b/s_asinh.c
@@ -0,0 +1,61 @@
+
+/* @(#)s_asinh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* asinh(x)
+ * Method :
+ * Based on
+ * asinh(x) = sign(x) * log [ |x| + ieee_sqrt(x*x+1) ]
+ * we have
+ * asinh(x) := x if 1+x*x=1,
+ * := sign(x)*(ieee_log(x)+ln2)) for large |x|, else
+ * := sign(x)*ieee_log(2|x|+1/(|x|+ieee_sqrt(x*x+1))) if|x|>2, else
+ * := sign(x)*ieee_log1p(|x| + x^2/(1 + ieee_sqrt(1+x^2)))
+ */
+
+#include "fdlibm.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;
+ int hx,ix;
+ hx = __HI(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(ieee_fabs(x))+ln2;
+ } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */
+ t = ieee_fabs(x);
+ w = __ieee754_log(2.0*t+one/(ieee_sqrt(x*x+one)+t));
+ } else { /* 2.0 > |x| > 2**-28 */
+ t = x*x;
+ w =ieee_log1p(ieee_fabs(x)+t/(one+ieee_sqrt(one+t)));
+ }
+ if(hx>0) return w; else return -w;
+}
diff --git a/s_atan.c b/s_atan.c
new file mode 100644
index 0000000..2be1182
--- /dev/null
+++ b/s_atan.c
@@ -0,0 +1,134 @@
+
+/* @(#)s_atan.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/* ieee_atan(x)
+ * Method
+ * 1. Reduce x to positive by ieee_atan(x) = -ieee_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] ieee_atan(x) = t-t^3*(a1+t^2*(a2+...(a10+t^2*a11)...)
+ * [7/16,11/16] ieee_atan(x) = ieee_atan(1/2) + ieee_atan( (t-0.5)/(1+t/2) )
+ * [11/16.19/16] ieee_atan(x) = ieee_atan( 1 ) + ieee_atan( (t-1)/(1+t) )
+ * [19/16,39/16] ieee_atan(x) = ieee_atan(3/2) + ieee_atan( (t-1.5)/(1+1.5t) )
+ * [39/16,INF] ieee_atan(x) = ieee_atan(INF) + ieee_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 "fdlibm.h"
+
+#ifdef __STDC__
+static const double atanhi[] = {
+#else
+static double atanhi[] = {
+#endif
+ 4.63647609000806093515e-01, /* ieee_atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */
+ 7.85398163397448278999e-01, /* ieee_atan(1.0)hi 0x3FE921FB, 0x54442D18 */
+ 9.82793723247329054082e-01, /* ieee_atan(1.5)hi 0x3FEF730B, 0xD281F69B */
+ 1.57079632679489655800e+00, /* ieee_atan(inf)hi 0x3FF921FB, 0x54442D18 */
+};
+
+#ifdef __STDC__
+static const double atanlo[] = {
+#else
+static double atanlo[] = {
+#endif
+ 2.26987774529616870924e-17, /* ieee_atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */
+ 3.06161699786838301793e-17, /* ieee_atan(1.0)lo 0x3C81A626, 0x33145C07 */
+ 1.39033110312309984516e-17, /* ieee_atan(1.5)lo 0x3C700788, 0x7AF0CBBD */
+ 6.12323399573676603587e-17, /* ieee_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 ieee_atan(double x)
+#else
+ double ieee_atan(x)
+ double x;
+#endif
+{
+ double w,s1,s2,z;
+ int ix,hx,id;
+
+ hx = __HI(x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x44100000) { /* if |x| >= 2^66 */
+ if(ix>0x7ff00000||
+ (ix==0x7ff00000&&(__LO(x)!=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 = ieee_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;
+ }
+}
diff --git a/s_cbrt.c b/s_cbrt.c
new file mode 100644
index 0000000..f8ce933
--- /dev/null
+++ b/s_cbrt.c
@@ -0,0 +1,87 @@
+
+/* @(#)s_cbrt.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#include "fdlibm.h"
+
+/* ieee_cbrt(x)
+ * Return cube root of x
+ */
+#ifdef __STDC__
+static const unsigned
+#else
+static unsigned
+#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 ieee_cbrt(double x)
+#else
+ double ieee_cbrt(x)
+ double x;
+#endif
+{
+ int hx;
+ double r,s,t=0.0,w;
+ unsigned sign;
+
+
+ hx = __HI(x); /* high word of x */
+ sign=hx&0x80000000; /* sign= sign(x) */
+ hx ^=sign;
+ if(hx>=0x7ff00000) return(x+x); /* ieee_cbrt(NaN,INF) is itself */
+ if((hx|__LO(x))==0)
+ return(x); /* ieee_cbrt(0) is itself */
+
+ __HI(x) = hx; /* x <- |x| */
+ /* rough cbrt to 5 bits */
+ if(hx<0x00100000) /* subnormal number */
+ {__HI(t)=0x43500000; /* set t= 2**54 */
+ t*=x; __HI(t)=__HI(t)/3+B2;
+ }
+ else
+ __HI(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 ieee_cbrt(x) */
+ __LO(t)=0; __HI(t)+=0x00000001;
+
+
+ /* 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 */
+ __HI(t) |= sign;
+ return(t);
+}
diff --git a/s_ceil.c b/s_ceil.c
new file mode 100644
index 0000000..cddb1d6
--- /dev/null
+++ b/s_ceil.c
@@ -0,0 +1,78 @@
+
+/* @(#)s_ceil.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * ieee_ceil(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to ieee_ceil(x).
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+static const double huge = 1.0e300;
+#else
+static double huge = 1.0e300;
+#endif
+
+#ifdef __STDC__
+ double ieee_ceil(double x)
+#else
+ double ieee_ceil(x)
+ double x;
+#endif
+{
+ int i0,i1,j0;
+ unsigned i,j;
+ i0 = __HI(x);
+ i1 = __LO(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 = ((unsigned)(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);
+ }
+ }
+ __HI(x) = i0;
+ __LO(x) = i1;
+ return x;
+}
diff --git a/s_copysign.c b/s_copysign.c
new file mode 100644
index 0000000..c61698c
--- /dev/null
+++ b/s_copysign.c
@@ -0,0 +1,31 @@
+
+/* @(#)s_copysign.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * ieee_copysign(double x, double y)
+ * ieee_copysign(x,y) returns a value with the magnitude of x and
+ * with the sign bit of y.
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_copysign(double x, double y)
+#else
+ double ieee_copysign(x,y)
+ double x,y;
+#endif
+{
+ __HI(x) = (__HI(x)&0x7fffffff)|(__HI(y)&0x80000000);
+ return x;
+}
diff --git a/s_cos.c b/s_cos.c
new file mode 100644
index 0000000..548bf8d
--- /dev/null
+++ b/s_cos.c
@@ -0,0 +1,78 @@
+
+/* @(#)s_cos.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* ieee_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 ieee_sin(x) ieee_cos(x) ieee_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 "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_cos(double x)
+#else
+ double ieee_cos(x)
+ double x;
+#endif
+{
+ double y[2],z=0.0;
+ int n, ix;
+
+ /* High word of x. */
+ ix = __HI(x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) return __kernel_cos(x,z);
+
+ /* ieee_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);
+ }
+ }
+}
diff --git a/s_erf.c b/s_erf.c
new file mode 100644
index 0000000..f4e3856
--- /dev/null
+++ b/s_erf.c
@@ -0,0 +1,310 @@
+
+/* @(#)s_erf.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* double ieee_erf(double x)
+ * double ieee_erfc(double x)
+ * x
+ * 2 |\
+ * ieee_erf(x) = --------- | ieee_exp(-t*t)dt
+ * ieee_sqrt(pi) \|
+ * 0
+ *
+ * ieee_erfc(x) = 1-ieee_erf(x)
+ * Note that
+ * erf(-x) = -ieee_erf(x)
+ * erfc(-x) = 2 - ieee_erfc(x)
+ *
+ * Method:
+ * 1. For |x| in [0, 0.84375]
+ * ieee_erf(x) = x + x*R(x^2)
+ * ieee_erfc(x) = 1 - ieee_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 - (ieee_erf(x)-x)/x | <= 2
+ *
+ *
+ * Remark. The formula is derived by noting
+ * ieee_erf(x) = (2/ieee_sqrt(pi))*(x - x^3/3 + x^5/10 - x^7/42 + ....)
+ * and that
+ * 2/ieee_sqrt(pi) = 1.128379167095512573896158903121545171688
+ * is close to one. The interval is chosen because the fix
+ * point of ieee_erf(x) is near 0.6174 (i.e., ieee_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 - (ieee_erf(|x|)-c)| <= 2**-59.06
+ * Remark: here we use the taylor series expansion at x=1.
+ * erf(1+s) = ieee_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)*ieee_exp(-x*x-0.5625+R1/S1)
+ * erf(x) = 1 - ieee_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)*ieee_exp(-x*x-0.5625+R2/S2) if x > 0
+ * = 2.0 - (1/x)*ieee_exp(-x*x-0.5625+R2/S2) if -6<x<0
+ * = 2.0 - tiny (if x <= -6)
+ * erf(x) = sign(x)*(1.0 - ieee_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 ieee_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)
+ * ieee_exp(-x*x-0.5626+R/S) =
+ * exp(-s*s-0.5625)*ieee_exp((s-x)*(s+x)+R/S);
+ * Note2:
+ * Here 4 and 5 make use of the asymptotic series
+ * ieee_exp(-x*x)
+ * erfc(x) ~ ---------- * ( 1 + Poly(1/x^2) )
+ * x*ieee_sqrt(pi)
+ * We use rational approximation to approximate
+ * g(s)=f(1/x^2) = ieee_log(ieee_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, ieee_erf(inf) = 1, ieee_erf(-inf) = -1,
+ * erfc(0) = 1, ieee_erfc(inf) = 0, ieee_erfc(-inf) = 2,
+ * erfc/ieee_erf(NaN) is NaN
+ */
+
+
+#include "fdlibm.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 ieee_erf(double x)
+#else
+ double ieee_erf(x)
+ double x;
+#endif
+{
+ int hx,ix,i;
+ double R,S,P,Q,s,y,z,r;
+ hx = __HI(x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) { /* ieee_erf(nan)=nan */
+ i = ((unsigned)hx>>31)<<1;
+ return (double)(1-i)+one/x; /* ieee_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 = ieee_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 = ieee_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;
+ __LO(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;
+}
+
+#ifdef __STDC__
+ double ieee_erfc(double x)
+#else
+ double ieee_erfc(x)
+ double x;
+#endif
+{
+ int hx,ix;
+ double R,S,P,Q,s,y,z,r;
+ hx = __HI(x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) { /* ieee_erfc(nan)=nan */
+ /* ieee_erfc(+-inf)=0,2 */
+ return (double)(((unsigned)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 = ieee_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 = ieee_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;
+ __LO(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;
+ }
+}
diff --git a/s_expm1.c b/s_expm1.c
new file mode 100644
index 0000000..f1f01af
--- /dev/null
+++ b/s_expm1.c
@@ -0,0 +1,216 @@
+
+/* @(#)s_expm1.c 1.5 04/04/22 */
+/*
+ * ====================================================
+ * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* ieee_expm1(x)
+ * Returns ieee_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 ieee_expm1(r) by a special rational function on
+ * the interval [0,0.34658]:
+ * Since
+ * r*(ieee_exp(r)+1)/(ieee_exp(r)-1) = 2+ r^2/6 - r^4/360 + ...
+ * we define R1(r*r) by
+ * r*(ieee_exp(r)+1)/(ieee_exp(r)-1) = 2+ r^2/6 * R1(r*r)
+ * That is,
+ * R1(r**2) = 6/r *((ieee_exp(r)+1)/(ieee_exp(r)-1) - 2/r)
+ * = 6/r * ( 1 + 2.0*(1/(ieee_exp(r)-1) - 1/r))
+ * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ...
+ * We use a special Remes 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) = ieee_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) ]
+ * ieee_expm1(r) = r + --- + --- * [--------------------]
+ * 2 2 [ 6 - r*(3 - R1*r/2) ]
+ *
+ * To compensate the error in the argument reduction, we use
+ * expm1(r+c) = ieee_expm1(r) + c + ieee_expm1(r)*c
+ * ~ ieee_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 )
+ * ieee_expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- )
+ * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 )
+ * ( )
+ *
+ * = r - E
+ * 3. Scale back to obtain ieee_expm1(x):
+ * From step 1, we have
+ * ieee_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 ieee_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 ieee_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, ieee_expm1(NaN) is NaN;
+ * expm1(-INF) is -1, and
+ * for finite argument, only ieee_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 ieee_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 "fdlibm.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 ieee_expm1(double x)
+#else
+ double ieee_expm1(x)
+ double x;
+#endif
+{
+ double y,hi,lo,c,t,e,hxs,hfx,r1;
+ int k,xsb;
+ unsigned hx;
+
+ hx = __HI(x); /* high word of 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) {
+ if(((hx&0xfffff)|__LO(x))!=0)
+ return x+x; /* NaN */
+ else return (xsb==0)? x:-1.0;/* ieee_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));
+ return x; // inexact flag is not set, but Java ignors this flag anyway
+ }
+ 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 ieee_exp(x)-1 */
+ y = one-(e-x);
+ __HI(y) += (k<<20); /* add k to y's exponent */
+ return y-one;
+ }
+ t = one;
+ if(k<20) {
+ __HI(t) = 0x3ff00000 - (0x200000>>k); /* t=1-2^-k */
+ y = t-(e-x);
+ __HI(y) += (k<<20); /* add k to y's exponent */
+ } else {
+ __HI(t) = ((0x3ff-k)<<20); /* 2^-k */
+ y = x-(e+t);
+ y += one;
+ __HI(y) += (k<<20); /* add k to y's exponent */
+ }
+ }
+ return y;
+}
diff --git a/s_fabs.c b/s_fabs.c
new file mode 100644
index 0000000..498b51f
--- /dev/null
+++ b/s_fabs.c
@@ -0,0 +1,29 @@
+
+/* @(#)s_fabs.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * ieee_fabs(x) returns the absolute value of x.
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_fabs(double x)
+#else
+ double ieee_fabs(x)
+ double x;
+#endif
+{
+ __HI(x) &= 0x7fffffff;
+ return x;
+}
diff --git a/s_finite.c b/s_finite.c
new file mode 100644
index 0000000..41a4b17
--- /dev/null
+++ b/s_finite.c
@@ -0,0 +1,31 @@
+
+/* @(#)s_finite.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * ieee_finite(x) returns 1 is x is finite, else 0;
+ * no branching!
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ int ieee_finite(double x)
+#else
+ int ieee_finite(x)
+ double x;
+#endif
+{
+ int hx;
+ hx = __HI(x);
+ return (unsigned)((hx&0x7fffffff)-0x7ff00000)>>31;
+}
diff --git a/s_floor.c b/s_floor.c
new file mode 100644
index 0000000..c55e0b7
--- /dev/null
+++ b/s_floor.c
@@ -0,0 +1,79 @@
+
+/* @(#)s_floor.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * ieee_floor(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to ieee_floor(x).
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+static const double huge = 1.0e300;
+#else
+static double huge = 1.0e300;
+#endif
+
+#ifdef __STDC__
+ double ieee_floor(double x)
+#else
+ double ieee_floor(x)
+ double x;
+#endif
+{
+ int i0,i1,j0;
+ unsigned i,j;
+ i0 = __HI(x);
+ i1 = __LO(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 = ((unsigned)(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);
+ }
+ }
+ __HI(x) = i0;
+ __LO(x) = i1;
+ return x;
+}
diff --git a/s_frexp.c b/s_frexp.c
new file mode 100644
index 0000000..25b40cb
--- /dev/null
+++ b/s_frexp.c
@@ -0,0 +1,56 @@
+
+/* @(#)s_frexp.c 1.4 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * for non-zero x
+ * x = ieee_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 ieee_frexp(arg,&exp) returns arg
+ * with *exp=0.
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+two54 = 1.80143985094819840000e+16; /* 0x43500000, 0x00000000 */
+
+#ifdef __STDC__
+ double ieee_frexp(double x, int *eptr)
+#else
+ double ieee_frexp(x, eptr)
+ double x; int *eptr;
+#endif
+{
+ int hx, ix, lx;
+ hx = __HI(x);
+ ix = 0x7fffffff&hx;
+ lx = __LO(x);
+ *eptr = 0;
+ if(ix>=0x7ff00000||((ix|lx)==0)) return x; /* 0,inf,nan */
+ if (ix<0x00100000) { /* subnormal */
+ x *= two54;
+ hx = __HI(x);
+ ix = hx&0x7fffffff;
+ *eptr = -54;
+ }
+ *eptr += (ix>>20)-1022;
+ hx = (hx&0x800fffff)|0x3fe00000;
+ __HI(x) = hx;
+ return x;
+}
diff --git a/s_ilogb.c b/s_ilogb.c
new file mode 100644
index 0000000..240f9bf
--- /dev/null
+++ b/s_ilogb.c
@@ -0,0 +1,46 @@
+
+/* @(#)s_ilogb.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* ieee_ilogb(double x)
+ * return the binary exponent of non-zero x
+ * ieee_ilogb(0) = 0x80000001
+ * ieee_ilogb(inf/NaN) = 0x7fffffff (no signal is raised)
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ int ieee_ilogb(double x)
+#else
+ int ieee_ilogb(x)
+ double x;
+#endif
+{
+ int hx,lx,ix;
+
+ hx = (__HI(x))&0x7fffffff; /* high word of x */
+ if(hx<0x00100000) {
+ lx = __LO(x);
+ if((hx|lx)==0)
+ return 0x80000001; /* ieee_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;
+}
diff --git a/s_isnan.c b/s_isnan.c
new file mode 100644
index 0000000..0500c32
--- /dev/null
+++ b/s_isnan.c
@@ -0,0 +1,34 @@
+
+/* @(#)s_isnan.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * ieee_isnan(x) returns 1 is x is nan, else 0;
+ * no branching!
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ int ieee_isnan(double x)
+#else
+ int ieee_isnan(x)
+ double x;
+#endif
+{
+ int hx,lx;
+ hx = (__HI(x)&0x7fffffff);
+ lx = __LO(x);
+ hx |= (unsigned)(lx|(-lx))>>31;
+ hx = 0x7ff00000 - hx;
+ return ((unsigned)(hx))>>31;
+}
diff --git a/s_ldexp.c b/s_ldexp.c
new file mode 100644
index 0000000..ce29da1
--- /dev/null
+++ b/s_ldexp.c
@@ -0,0 +1,28 @@
+
+/* @(#)s_ldexp.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include "fdlibm.h"
+#include <errno.h>
+
+#ifdef __STDC__
+ double ieee_ldexp(double value, int exp)
+#else
+ double ieee_ldexp(value, exp)
+ double value; int exp;
+#endif
+{
+ if(!ieee_finite(value)||value==0.0) return value;
+ value = ieee_scalbn(value,exp);
+ if(!ieee_finite(value)||value==0.0) errno = ERANGE;
+ return value;
+}
diff --git a/s_lib_version.c b/s_lib_version.c
new file mode 100644
index 0000000..40f065e
--- /dev/null
+++ b/s_lib_version.c
@@ -0,0 +1,35 @@
+
+/* @(#)s_lib_version.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * MACRO for standards
+ */
+
+#include "fdlibm.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/s_log1p.c b/s_log1p.c
new file mode 100644
index 0000000..5b92347
--- /dev/null
+++ b/s_log1p.c
@@ -0,0 +1,165 @@
+
+/* @(#)s_log1p.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* double ieee_log1p(double x)
+ *
+ * Method :
+ * 1. Argument Reduction: find k and f such that
+ * 1+x = 2^k * (1+f),
+ * where ieee_sqrt(2)/2 < 1+f < ieee_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) - ieee_log(u) ~ c/u. Thus, we proceed to compute ieee_log(u),
+ * and add back the correction term c/u.
+ * (Note: when x > 2**53, one can simply return ieee_log(x))
+ *
+ * 2. Approximation of ieee_log1p(f).
+ * Let s = f/(2+f) ; based on ieee_log(1+f) = ieee_log(1+s) - ieee_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, ieee_log1p(x) = k*ln2 + ieee_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; ieee_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 ieee_log() return accurate answer, the following
+ * algorithm can be used to compute ieee_log1p(x) to within a few ULP:
+ *
+ * u = 1+x;
+ * if(u==1.0) return x ; else
+ * return ieee_log(u)*(x/(u-1.0));
+ *
+ * See HP-15C Advanced Functions Handbook, p.193.
+ */
+
+#include "fdlibm.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 */
+
+static double zero = 0.0;
+
+#ifdef __STDC__
+ double ieee_log1p(double x)
+#else
+ double ieee_log1p(x)
+ double x;
+#endif
+{
+ double hfsq,f,c,s,z,R,u;
+ int k,hx,hu,ax;
+
+ hx = __HI(x); /* high word of 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; /* ieee_log1p(-1)=+inf */
+ else return (x-x)/(x-x); /* ieee_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<=((int)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;
+ hu = __HI(u); /* high word of u */
+ k = (hu>>20)-1023;
+ c = (k>0)? 1.0-(u-x):x-(u-1.0);/* correction term */
+ c /= u;
+ } else {
+ u = x;
+ hu = __HI(u); /* high word of u */
+ k = (hu>>20)-1023;
+ c = 0;
+ }
+ hu &= 0x000fffff;
+ if(hu<0x6a09e) {
+ __HI(u) = hu|0x3ff00000; /* normalize u */
+ } else {
+ k += 1;
+ __HI(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);
+}
diff --git a/s_logb.c b/s_logb.c
new file mode 100644
index 0000000..a9b1bb8
--- /dev/null
+++ b/s_logb.c
@@ -0,0 +1,38 @@
+
+/* @(#)s_logb.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * double ieee_logb(x)
+ * IEEE 754 logb. Included to pass IEEE test suite. Not recommend.
+ * Use ilogb instead.
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_logb(double x)
+#else
+ double ieee_logb(x)
+ double x;
+#endif
+{
+ int lx,ix;
+ ix = (__HI(x))&0x7fffffff; /* high |x| */
+ lx = __LO(x); /* low x */
+ if((ix|lx)==0) return -1.0/ieee_fabs(x);
+ if(ix>=0x7ff00000) return x*x;
+ if((ix>>=20)==0) /* IEEE 754 logb */
+ return -1022.0;
+ else
+ return (double) (ix-1023);
+}
diff --git a/s_matherr.c b/s_matherr.c
new file mode 100644
index 0000000..ece2d23
--- /dev/null
+++ b/s_matherr.c
@@ -0,0 +1,26 @@
+
+/* @(#)s_matherr.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ int ieee_matherr(struct exception *x)
+#else
+ int ieee_matherr(x)
+ struct exception *x;
+#endif
+{
+ int n=0;
+ if(x->arg1!=x->arg1) return 0;
+ return n;
+}
diff --git a/s_modf.c b/s_modf.c
new file mode 100644
index 0000000..0d7faa4
--- /dev/null
+++ b/s_modf.c
@@ -0,0 +1,80 @@
+
+/* @(#)s_modf.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * ieee_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 "fdlibm.h"
+
+#ifdef __STDC__
+static const double one = 1.0;
+#else
+static double one = 1.0;
+#endif
+
+#ifdef __STDC__
+ double ieee_modf(double x, double *iptr)
+#else
+ double ieee_modf(x, iptr)
+ double x,*iptr;
+#endif
+{
+ int i0,i1,j0;
+ unsigned i;
+ i0 = __HI(x); /* high x */
+ i1 = __LO(x); /* low x */
+ j0 = ((i0>>20)&0x7ff)-0x3ff; /* exponent of x */
+ if(j0<20) { /* integer part in high x */
+ if(j0<0) { /* |x|<1 */
+ __HIp(iptr) = i0&0x80000000;
+ __LOp(iptr) = 0; /* *iptr = +-0 */
+ return x;
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) { /* x is integral */
+ *iptr = x;
+ __HI(x) &= 0x80000000;
+ __LO(x) = 0; /* return +-0 */
+ return x;
+ } else {
+ __HIp(iptr) = i0&(~i);
+ __LOp(iptr) = 0;
+ return x - *iptr;
+ }
+ }
+ } else if (j0>51) { /* no fraction part */
+ *iptr = x*one;
+ __HI(x) &= 0x80000000;
+ __LO(x) = 0; /* return +-0 */
+ return x;
+ } else { /* fraction part in low x */
+ i = ((unsigned)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) { /* x is integral */
+ *iptr = x;
+ __HI(x) &= 0x80000000;
+ __LO(x) = 0; /* return +-0 */
+ return x;
+ } else {
+ __HIp(iptr) = i0;
+ __LOp(iptr) = i1&(~i);
+ return x - *iptr;
+ }
+ }
+}
diff --git a/s_nextafter.c b/s_nextafter.c
new file mode 100644
index 0000000..0e6db32
--- /dev/null
+++ b/s_nextafter.c
@@ -0,0 +1,78 @@
+
+/* @(#)s_nextafter.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* IEEE functions
+ * nextafter(x,y)
+ * return the next machine floating-point number of x in the
+ * direction toward y.
+ * Special cases:
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_nextafter(double x, double y)
+#else
+ double ieee_nextafter(x,y)
+ double x,y;
+#endif
+{
+ int hx,hy,ix,iy;
+ unsigned lx,ly;
+
+ hx = __HI(x); /* high word of x */
+ lx = __LO(x); /* low word of x */
+ hy = __HI(y); /* high word of y */
+ ly = __LO(y); /* low word of 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 */
+ __HI(x) = hy&0x80000000; /* return +-minsubnormal */
+ __LO(x) = 1;
+ 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 */
+ __HI(y) = hx; __LO(y) = lx;
+ return y;
+ }
+ }
+ __HI(x) = hx; __LO(x) = lx;
+ return x;
+}
diff --git a/s_rint.c b/s_rint.c
new file mode 100644
index 0000000..fbbd0fd
--- /dev/null
+++ b/s_rint.c
@@ -0,0 +1,84 @@
+
+/* @(#)s_rint.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * ieee_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 ieee_rint(x).
+ */
+
+#include "fdlibm.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 ieee_rint(double x)
+#else
+ double ieee_rint(x)
+ double x;
+#endif
+{
+ int i0,j0,sx;
+ unsigned i,i1;
+ double w,t;
+ i0 = __HI(x);
+ sx = (i0>>31)&1;
+ i1 = __LO(x);
+ 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;
+ __HI(x)=i0;
+ w = TWO52[sx]+x;
+ t = w-TWO52[sx];
+ i0 = __HI(t);
+ __HI(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 = ((unsigned)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) return x; /* x is integral */
+ i>>=1;
+ if((i1&i)!=0) i1 = (i1&(~i))|((0x40000000)>>(j0-20));
+ }
+ __HI(x) = i0;
+ __LO(x) = i1;
+ w = TWO52[sx]+x;
+ return w-TWO52[sx];
+}
diff --git a/s_scalbn.c b/s_scalbn.c
new file mode 100644
index 0000000..0edb815
--- /dev/null
+++ b/s_scalbn.c
@@ -0,0 +1,63 @@
+
+/* @(#)s_scalbn.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * ieee_scalbn (double x, int n)
+ * ieee_scalbn(x,n) returns x* 2**n computed by exponent
+ * manipulation rather than by actually performing an
+ * exponentiation or a multiplication.
+ */
+
+#include "fdlibm.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 ieee_scalbn (double x, int n)
+#else
+ double ieee_scalbn (x,n)
+ double x; int n;
+#endif
+{
+ int k,hx,lx;
+ hx = __HI(x);
+ lx = __LO(x);
+ k = (hx&0x7ff00000)>>20; /* extract exponent */
+ if (k==0) { /* 0 or subnormal x */
+ if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
+ x *= two54;
+ hx = __HI(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*ieee_copysign(huge,x); /* overflow */
+ if (k > 0) /* normal result */
+ {__HI(x) = (hx&0x800fffff)|(k<<20); return x;}
+ if (k <= -54)
+ if (n > 50000) /* in case integer overflow in n+k */
+ return huge*ieee_copysign(huge,x); /*overflow*/
+ else return tiny*ieee_copysign(tiny,x); /*underflow*/
+ k += 54; /* subnormal result */
+ __HI(x) = (hx&0x800fffff)|(k<<20);
+ return x*twom54;
+}
diff --git a/s_signgam.c b/s_signgam.c
new file mode 100644
index 0000000..8ed291a
--- /dev/null
+++ b/s_signgam.c
@@ -0,0 +1,2 @@
+#include "fdlibm.h"
+int signgam = 0;
diff --git a/s_significand.c b/s_significand.c
new file mode 100644
index 0000000..7048563
--- /dev/null
+++ b/s_significand.c
@@ -0,0 +1,30 @@
+
+/* @(#)s_significand.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * ieee_significand(x) computes just
+ * scalb(x, (double) -ieee_ilogb(x)),
+ * for exercising the fraction-part(F) IEEE 754-1985 test vector.
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_significand(double x)
+#else
+ double ieee_significand(x)
+ double x;
+#endif
+{
+ return __ieee754_scalb(x,(double) -ieee_ilogb(x));
+}
diff --git a/s_sin.c b/s_sin.c
new file mode 100644
index 0000000..eb6bd3f
--- /dev/null
+++ b/s_sin.c
@@ -0,0 +1,78 @@
+
+/* @(#)s_sin.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* ieee_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 ieee_sin(x) ieee_cos(x) ieee_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 "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_sin(double x)
+#else
+ double ieee_sin(x)
+ double x;
+#endif
+{
+ double y[2],z=0.0;
+ int n, ix;
+
+ /* High word of x. */
+ ix = __HI(x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) return __kernel_sin(x,z,0);
+
+ /* ieee_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]);
+ }
+ }
+}
diff --git a/s_tan.c b/s_tan.c
new file mode 100644
index 0000000..1c0b297
--- /dev/null
+++ b/s_tan.c
@@ -0,0 +1,72 @@
+
+/* @(#)s_tan.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* ieee_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 ieee_sin(x) ieee_cos(x) ieee_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 "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_tan(double x)
+#else
+ double ieee_tan(x)
+ double x;
+#endif
+{
+ double y[2],z=0.0;
+ int n, ix;
+
+ /* High word of x. */
+ ix = __HI(x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) return __kernel_tan(x,z,1);
+
+ /* ieee_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 */
+ }
+}
diff --git a/s_tanh.c b/s_tanh.c
new file mode 100644
index 0000000..d232629
--- /dev/null
+++ b/s_tanh.c
@@ -0,0 +1,82 @@
+
+/* @(#)s_tanh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* Tanh(x)
+ * Return the Hyperbolic Tangent of x
+ *
+ * Method :
+ * x -x
+ * e - e
+ * 0. ieee_tanh(x) is defined to be -----------
+ * x -x
+ * e + e
+ * 1. reduce x to non-negative by ieee_tanh(-x) = -ieee_tanh(x).
+ * 2. 0 <= x <= 2**-55 : ieee_tanh(x) := x*(one+x)
+ * -t
+ * 2**-55 < x <= 1 : ieee_tanh(x) := -----; t = ieee_expm1(-2x)
+ * t + 2
+ * 2
+ * 1 <= x <= 22.0 : ieee_tanh(x) := 1- ----- ; t=ieee_expm1(2x)
+ * t + 2
+ * 22.0 < x <= INF : ieee_tanh(x) := 1.
+ *
+ * Special cases:
+ * tanh(NaN) is NaN;
+ * only ieee_tanh(0)=0 is exact for finite argument.
+ */
+
+#include "fdlibm.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 ieee_tanh(double x)
+#else
+ double ieee_tanh(x)
+ double x;
+#endif
+{
+ double t,z;
+ int jx,ix;
+
+ /* High word of |x|. */
+ jx = __HI(x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7ff00000) {
+ if (jx>=0) return one/x+one; /* ieee_tanh(+-inf)=+-1 */
+ else return one/x-one; /* ieee_tanh(NaN) = NaN */
+ }
+
+ /* |x| < 22 */
+ if (ix < 0x40360000) { /* |x|<22 */
+ if (ix<0x3c800000) /* |x|<2**-55 */
+ return x*(one+x); /* ieee_tanh(small) = small */
+ if (ix>=0x3ff00000) { /* |x|>=1 */
+ t = ieee_expm1(two*ieee_fabs(x));
+ z = one - two/(t+two);
+ } else {
+ t = ieee_expm1(-two*ieee_fabs(x));
+ z= -t/(t+two);
+ }
+ /* |x| > 22, return +-1 */
+ } else {
+ z = one - tiny; /* raised inexact flag */
+ }
+ return (jx>=0)? z: -z;
+}
diff --git a/w_acos.c b/w_acos.c
new file mode 100644
index 0000000..1233f9d
--- /dev/null
+++ b/w_acos.c
@@ -0,0 +1,39 @@
+
+/* @(#)w_acos.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrap_acos(x)
+ */
+
+#include "fdlibm.h"
+
+
+#ifdef __STDC__
+ double ieee_acos(double x) /* wrapper acos */
+#else
+ double ieee_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_ || ieee_isnan(x)) return z;
+ if(ieee_fabs(x)>1.0) {
+ return __kernel_standard(x,x,1); /* ieee_acos(|x|>1) */
+ } else
+ return z;
+#endif
+}
diff --git a/w_acosh.c b/w_acosh.c
new file mode 100644
index 0000000..650d461
--- /dev/null
+++ b/w_acosh.c
@@ -0,0 +1,39 @@
+
+/* @(#)w_acosh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/*
+ * wrapper acosh(x)
+ */
+
+#include "fdlibm.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_ || ieee_isnan(x)) return z;
+ if(x<1.0) {
+ return __kernel_standard(x,x,29); /* acosh(x<1) */
+ } else
+ return z;
+#endif
+}
diff --git a/w_asin.c b/w_asin.c
new file mode 100644
index 0000000..46000e5
--- /dev/null
+++ b/w_asin.c
@@ -0,0 +1,41 @@
+
+/* @(#)w_asin.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/*
+ * wrapper ieee_asin(x)
+ */
+
+
+#include "fdlibm.h"
+
+
+#ifdef __STDC__
+ double ieee_asin(double x) /* wrapper asin */
+#else
+ double ieee_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_ || ieee_isnan(x)) return z;
+ if(ieee_fabs(x)>1.0) {
+ return __kernel_standard(x,x,2); /* ieee_asin(|x|>1) */
+ } else
+ return z;
+#endif
+}
diff --git a/w_atan2.c b/w_atan2.c
new file mode 100644
index 0000000..f4cc0eb
--- /dev/null
+++ b/w_atan2.c
@@ -0,0 +1,40 @@
+
+/* @(#)w_atan2.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/*
+ * wrapper ieee_atan2(y,x)
+ */
+
+#include "fdlibm.h"
+
+
+#ifdef __STDC__
+ double ieee_atan2(double y, double x) /* wrapper atan2 */
+#else
+ double ieee_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_||ieee_isnan(x)||ieee_isnan(y)) return z;
+ if(x==0.0&&y==0.0) {
+ return __kernel_standard(y,x,3); /* ieee_atan2(+-0,+-0) */
+ } else
+ return z;
+#endif
+}
diff --git a/w_atanh.c b/w_atanh.c
new file mode 100644
index 0000000..436f5db
--- /dev/null
+++ b/w_atanh.c
@@ -0,0 +1,42 @@
+
+/* @(#)w_atanh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/*
+ * wrapper atanh(x)
+ */
+
+#include "fdlibm.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_ || ieee_isnan(x)) return z;
+ y = ieee_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
+}
diff --git a/w_cosh.c b/w_cosh.c
new file mode 100644
index 0000000..81fc900
--- /dev/null
+++ b/w_cosh.c
@@ -0,0 +1,38 @@
+
+/* @(#)w_cosh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper ieee_cosh(x)
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_cosh(double x) /* wrapper cosh */
+#else
+ double ieee_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_ || ieee_isnan(x)) return z;
+ if(ieee_fabs(x)>7.10475860073943863426e+02) {
+ return __kernel_standard(x,x,5); /* cosh overflow */
+ } else
+ return z;
+#endif
+}
diff --git a/w_exp.c b/w_exp.c
new file mode 100644
index 0000000..1eefd83
--- /dev/null
+++ b/w_exp.c
@@ -0,0 +1,48 @@
+
+/* @(#)w_exp.c 1.4 04/04/22 */
+/*
+ * ====================================================
+ * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper ieee_exp(x)
+ */
+
+#include "fdlibm.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 ieee_exp(double x) /* wrapper exp */
+#else
+ double ieee_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(ieee_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
+}
diff --git a/w_fmod.c b/w_fmod.c
new file mode 100644
index 0000000..60b98af
--- /dev/null
+++ b/w_fmod.c
@@ -0,0 +1,39 @@
+
+/* @(#)w_fmod.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper ieee_fmod(x,y)
+ */
+
+#include "fdlibm.h"
+
+
+#ifdef __STDC__
+ double ieee_fmod(double x, double y) /* wrapper fmod */
+#else
+ double ieee_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_ ||ieee_isnan(y)||ieee_isnan(x)) return z;
+ if(y==0.0) {
+ return __kernel_standard(x,y,27); /* ieee_fmod(x,0) */
+ } else
+ return z;
+#endif
+}
diff --git a/w_gamma.c b/w_gamma.c
new file mode 100644
index 0000000..0e44f02
--- /dev/null
+++ b/w_gamma.c
@@ -0,0 +1,46 @@
+
+/* @(#)w_gamma.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/* double ieee_gamma(double x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call gamma_r
+ */
+
+#include "fdlibm.h"
+
+extern int signgam;
+
+#ifdef __STDC__
+ double ieee_gamma(double x)
+#else
+ double ieee_gamma(x)
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_gamma_r(x,&signgam);
+#else
+ double y;
+ y = __ieee754_gamma_r(x,&signgam);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!ieee_finite(y)&&ieee_finite(x)) {
+ if(ieee_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
+}
diff --git a/w_gamma_r.c b/w_gamma_r.c
new file mode 100644
index 0000000..25bfa1b
--- /dev/null
+++ b/w_gamma_r.c
@@ -0,0 +1,42 @@
+
+/* @(#)w_gamma_r.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper double ieee_gamma_r(double x, int *signgamp)
+ */
+
+#include "fdlibm.h"
+
+
+#ifdef __STDC__
+ double ieee_gamma_r(double x, int *signgamp) /* wrapper lgamma_r */
+#else
+ double ieee_gamma_r(x,signgamp) /* wrapper lgamma_r */
+ double x; int *signgamp;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_gamma_r(x,signgamp);
+#else
+ double y;
+ y = __ieee754_gamma_r(x,signgamp);
+ if(_LIB_VERSION == _IEEE_) return y;
+ if(!ieee_finite(y)&&ieee_finite(x)) {
+ if(ieee_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
+}
diff --git a/w_hypot.c b/w_hypot.c
new file mode 100644
index 0000000..e2c6765
--- /dev/null
+++ b/w_hypot.c
@@ -0,0 +1,39 @@
+
+/* @(#)w_hypot.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper ieee_hypot(x,y)
+ */
+
+#include "fdlibm.h"
+
+
+#ifdef __STDC__
+ double ieee_hypot(double x, double y)/* wrapper hypot */
+#else
+ double ieee_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((!ieee_finite(z))&&ieee_finite(x)&&ieee_finite(y))
+ return __kernel_standard(x,y,4); /* hypot overflow */
+ else
+ return z;
+#endif
+}
diff --git a/w_j0.c b/w_j0.c
new file mode 100644
index 0000000..aaf7b94
--- /dev/null
+++ b/w_j0.c
@@ -0,0 +1,65 @@
+
+/* @(#)w_j0.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper ieee_j0(double x), ieee_y0(double x)
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_j0(double x) /* wrapper j0 */
+#else
+ double ieee_j0(x) /* wrapper j0 */
+ double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+ return __ieee754_j0(x);
+#else
+ double z = __ieee754_j0(x);
+ if(_LIB_VERSION == _IEEE_ || ieee_isnan(x)) return z;
+ if(ieee_fabs(x)>X_TLOSS) {
+ return __kernel_standard(x,x,34); /* ieee_j0(|x|>X_TLOSS) */
+ } else
+ return z;
+#endif
+}
+
+#ifdef __STDC__
+ double ieee_y0(double x) /* wrapper y0 */
+#else
+ double ieee_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_ || 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); /* ieee_y0(x>X_TLOSS) */
+ } else
+ return z;
+#endif
+}
diff --git a/w_j1.c b/w_j1.c
new file mode 100644
index 0000000..8d27040
--- /dev/null
+++ b/w_j1.c
@@ -0,0 +1,66 @@
+
+/* @(#)w_j1.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper of j1,y1
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_j1(double x) /* wrapper j1 */
+#else
+ double ieee_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_ || ieee_isnan(x) ) return z;
+ if(ieee_fabs(x)>X_TLOSS) {
+ return __kernel_standard(x,x,36); /* ieee_j1(|x|>X_TLOSS) */
+ } else
+ return z;
+#endif
+}
+
+#ifdef __STDC__
+ double ieee_y1(double x) /* wrapper y1 */
+#else
+ double ieee_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_ || 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); /* ieee_y1(x>X_TLOSS) */
+ } else
+ return z;
+#endif
+}
diff --git a/w_jn.c b/w_jn.c
new file mode 100644
index 0000000..3b5ab45
--- /dev/null
+++ b/w_jn.c
@@ -0,0 +1,88 @@
+
+/* @(#)w_jn.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper ieee_jn(int n, double x), ieee_yn(int n, double x)
+ * floating point Bessel's function of the 1st and 2nd kind
+ * of order n
+ *
+ * Special cases:
+ * y0(0)=ieee_y1(0)=ieee_yn(n,0) = -inf with division by zero signal;
+ * y0(-ve)=ieee_y1(-ve)=ieee_yn(n,-ve) are NaN with invalid signal.
+ * Note 2. About ieee_jn(n,x), ieee_yn(n,x)
+ * For n=0, ieee_j0(x) is called,
+ * for n=1, ieee_j1(x) is called,
+ * for n<x, forward recursion us used starting
+ * from values of ieee_j0(x) and ieee_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 "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_jn(int n, double x) /* wrapper jn */
+#else
+ double ieee_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_ || ieee_isnan(x) ) return z;
+ if(ieee_fabs(x)>X_TLOSS) {
+ return __kernel_standard((double)n,x,38); /* ieee_jn(|x|>X_TLOSS,n) */
+ } else
+ return z;
+#endif
+}
+
+#ifdef __STDC__
+ double ieee_yn(int n, double x) /* wrapper yn */
+#else
+ double ieee_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_ || 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); /* ieee_yn(x>X_TLOSS,n) */
+ } else
+ return z;
+#endif
+}
diff --git a/w_lgamma.c b/w_lgamma.c
new file mode 100644
index 0000000..6c09dd4
--- /dev/null
+++ b/w_lgamma.c
@@ -0,0 +1,46 @@
+
+/* @(#)w_lgamma.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+/* double ieee_lgamma(double x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call __ieee754_lgamma_r
+ */
+
+#include "fdlibm.h"
+
+extern int signgam;
+
+#ifdef __STDC__
+ double ieee_lgamma(double x)
+#else
+ double ieee_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(!ieee_finite(y)&&ieee_finite(x)) {
+ if(ieee_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
+}
diff --git a/w_lgamma_r.c b/w_lgamma_r.c
new file mode 100644
index 0000000..c59e1d6
--- /dev/null
+++ b/w_lgamma_r.c
@@ -0,0 +1,42 @@
+
+/* @(#)w_lgamma_r.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper double ieee_lgamma_r(double x, int *signgamp)
+ */
+
+#include "fdlibm.h"
+
+
+#ifdef __STDC__
+ double ieee_lgamma_r(double x, int *signgamp) /* wrapper lgamma_r */
+#else
+ double ieee_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(!ieee_finite(y)&&ieee_finite(x)) {
+ if(ieee_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
+}
diff --git a/w_log.c b/w_log.c
new file mode 100644
index 0000000..b73cc6d
--- /dev/null
+++ b/w_log.c
@@ -0,0 +1,39 @@
+
+/* @(#)w_log.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper ieee_log(x)
+ */
+
+#include "fdlibm.h"
+
+
+#ifdef __STDC__
+ double ieee_log(double x) /* wrapper log */
+#else
+ double ieee_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_ || ieee_isnan(x) || x > 0.0) return z;
+ if(x==0.0)
+ return __kernel_standard(x,x,16); /* ieee_log(0) */
+ else
+ return __kernel_standard(x,x,17); /* ieee_log(x<0) */
+#endif
+}
diff --git a/w_log10.c b/w_log10.c
new file mode 100644
index 0000000..e429d6c
--- /dev/null
+++ b/w_log10.c
@@ -0,0 +1,42 @@
+
+/* @(#)w_log10.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper ieee_log10(X)
+ */
+
+#include "fdlibm.h"
+
+
+#ifdef __STDC__
+ double ieee_log10(double x) /* wrapper log10 */
+#else
+ double ieee_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_ || ieee_isnan(x)) return z;
+ if(x<=0.0) {
+ if(x==0.0)
+ return __kernel_standard(x,x,18); /* ieee_log10(0) */
+ else
+ return __kernel_standard(x,x,19); /* ieee_log10(x<0) */
+ } else
+ return z;
+#endif
+}
diff --git a/w_pow.c b/w_pow.c
new file mode 100644
index 0000000..100e04c
--- /dev/null
+++ b/w_pow.c
@@ -0,0 +1,60 @@
+
+
+/* @(#)w_pow.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper ieee_pow(x,y) return x**y
+ */
+
+#include "fdlibm.h"
+
+
+#ifdef __STDC__
+ double ieee_pow(double x, double y) /* wrapper pow */
+#else
+ double ieee_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_|| ieee_isnan(y)) return z;
+ if(ieee_isnan(x)) {
+ if(y==0.0)
+ return __kernel_standard(x,y,42); /* ieee_pow(NaN,0.0) */
+ else
+ return z;
+ }
+ if(x==0.0){
+ if(y==0.0)
+ return __kernel_standard(x,y,20); /* ieee_pow(0.0,0.0) */
+ if(ieee_finite(y)&&y<0.0)
+ return __kernel_standard(x,y,23); /* ieee_pow(0.0,negative) */
+ return z;
+ }
+ if(!ieee_finite(z)) {
+ if(ieee_finite(x)&&ieee_finite(y)) {
+ if(ieee_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&&ieee_finite(x)&&ieee_finite(y))
+ return __kernel_standard(x,y,22); /* pow underflow */
+ return z;
+#endif
+}
diff --git a/w_remainder.c b/w_remainder.c
new file mode 100644
index 0000000..f38065d
--- /dev/null
+++ b/w_remainder.c
@@ -0,0 +1,38 @@
+
+/* @(#)w_remainder.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper ieee_remainder(x,p)
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_remainder(double x, double y) /* wrapper remainder */
+#else
+ double ieee_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_ || ieee_isnan(y)) return z;
+ if(y==0.0)
+ return __kernel_standard(x,y,28); /* ieee_remainder(x,0) */
+ else
+ return z;
+#endif
+}
diff --git a/w_scalb.c b/w_scalb.c
new file mode 100644
index 0000000..7130993
--- /dev/null
+++ b/w_scalb.c
@@ -0,0 +1,56 @@
+
+/* @(#)w_scalb.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper ieee_scalb(double x, double fn) is provide for
+ * passing various standard test suite. One
+ * should use ieee_scalbn() instead.
+ */
+
+#include "fdlibm.h"
+
+#include <errno.h>
+
+#ifdef __STDC__
+#ifdef _SCALB_INT
+ double ieee_scalb(double x, int fn) /* wrapper scalb */
+#else
+ double ieee_scalb(double x, double fn) /* wrapper scalb */
+#endif
+#else
+ double ieee_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(!(ieee_finite(z)||ieee_isnan(z))&&ieee_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(!ieee_finite(fn)) errno = ERANGE;
+#endif
+ return z;
+#endif
+}
diff --git a/w_sinh.c b/w_sinh.c
new file mode 100644
index 0000000..a9b0cb3
--- /dev/null
+++ b/w_sinh.c
@@ -0,0 +1,38 @@
+
+/* @(#)w_sinh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper ieee_sinh(x)
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_sinh(double x) /* wrapper sinh */
+#else
+ double ieee_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(!ieee_finite(z)&&ieee_finite(x)) {
+ return __kernel_standard(x,x,25); /* sinh overflow */
+ } else
+ return z;
+#endif
+}
diff --git a/w_sqrt.c b/w_sqrt.c
new file mode 100644
index 0000000..ab8a793
--- /dev/null
+++ b/w_sqrt.c
@@ -0,0 +1,38 @@
+
+/* @(#)w_sqrt.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * wrapper ieee_sqrt(x)
+ */
+
+#include "fdlibm.h"
+
+#ifdef __STDC__
+ double ieee_sqrt(double x) /* wrapper sqrt */
+#else
+ double ieee_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_ || ieee_isnan(x)) return z;
+ if(x<0.0) {
+ return __kernel_standard(x,x,26); /* ieee_sqrt(negative) */
+ } else
+ return z;
+#endif
+}
